{ "cells": [ { "cell_type": "markdown", "id": "d59abd6f", "metadata": {}, "source": [ "# Gravitino, graviton and axino production in the MSSM" ] }, { "cell_type": "code", "execution_count": 55, "id": "12fd3b11", "metadata": {}, "outputs": [], "source": [ "#import the autotherm modules\n", "from analytical.controller import *\n", "from numerical.manipulate import *\n", "#not needed as it is already pulled my manipulate, but reimporting it fixes\n", "#syntax highlighting in vscode\n", "import numpy\n", "#import matplotlib too\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "8d00c967", "metadata": {}, "source": [ "## Gravitino and graviton production in the MSSM" ] }, { "cell_type": "code", "execution_count": null, "id": "e6183727", "metadata": {}, "outputs": [], "source": [ "gravitondict=analytical_pipeline(\"../../MyModels/mssm_grav/mssm_grav.cfg\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "34b0ab8e", "metadata": {}, "outputs": [], "source": [ "graviton=NumRate(*gravitondict,2)\n", "k=numpy.logspace(numpy.log10(0.1),numpy.log10(12.5),100)" ] }, { "cell_type": "markdown", "id": "5d0a7823", "metadata": {}, "source": [ "gravitino determination using the goldstino rules" ] }, { "cell_type": "code", "execution_count": null, "id": "da63bd60", "metadata": {}, "outputs": [], "source": [ "gravitinodict=analytical_pipeline(\"../../MyModels/mssm_gravitino/mssm_gravitino.cfg\")\n", "gravitino=NumRate(*gravitinodict,1)" ] }, { "cell_type": "markdown", "id": "05407e3a", "metadata": {}, "source": [ "let us inspect the gravitino results and put the matrix elements squared in a compact form" ] }, { "cell_type": "code", "execution_count": 54, "id": "e33a45e6", "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "- statistics: (-1, -1, -1): $$\\frac{\\kappa^{2} \\left(11 g_{1}^{2} + 27 g_{2}^{2} + 72 g_{3}^{2}\\right) \\left(t^{2} + t u + u^{2}\\right)^{2}}{s t u}$$\n", " or\n", " $$\\frac{C_\\mathrm{gauge} \\kappa^{2} \\left(s^{2} + t^{2} + u^{2}\\right)^{2}}{4 s t u}$$\n", "- statistics: (1, -1, 1): $$- \\frac{\\kappa^{2} \\left(t^{2} \\left(11 g_{1}^{2} + 27 g_{2}^{2} + 72 g_{3}^{2}\\right) + t u \\left(11 g_{1}^{2} + 27 g_{2}^{2} + 72 g_{3}^{2}\\right) + \\frac{3 u^{2} \\left(11 g_{1}^{2} + 23 g_{2}^{2} + 56 g_{3}^{2} + 6 \\vert h_t\\vert^2\\right)}{2}\\right)}{u}$$\n", " or\n", " $$- C_\\mathrm{Yukawa} \\kappa^{2} u - \\frac{C_\\mathrm{gauge} \\kappa^{2} \\left(s^{2} + t^{2}\\right)}{2 u}$$\n", "- statistics: (1, 1, -1): $$- \\frac{\\kappa^{2} \\left(\\frac{3 t^{2} \\left(11 g_{1}^{2} + 23 g_{2}^{2} + 56 g_{3}^{2} + 6 \\vert h_t\\vert^2\\right)}{2} + t u \\left(11 g_{1}^{2} + 27 g_{2}^{2} + 72 g_{3}^{2}\\right) + u^{2} \\left(11 g_{1}^{2} + 27 g_{2}^{2} + 72 g_{3}^{2}\\right)\\right)}{t}$$\n", " or\n", " $$- C_\\mathrm{Yukawa} \\kappa^{2} t - \\frac{C_\\mathrm{gauge} \\kappa^{2} \\left(s^{2} + u^{2}\\right)}{2 t}$$\n", "- statistics: (-1, 1, 1): $$\\frac{\\kappa^{2} \\left(\\frac{t^{2} \\left(33 g_{1}^{2} + 69 g_{2}^{2} + 168 g_{3}^{2} + 18 \\vert h_t\\vert^2\\right)}{2} + 2 t u \\left(11 g_{1}^{2} + 21 g_{2}^{2} + 48 g_{3}^{2} + 9 \\vert h_t\\vert^2\\right) + \\frac{u^{2} \\left(33 g_{1}^{2} + 69 g_{2}^{2} + 168 g_{3}^{2} + 18 \\vert h_t\\vert^2\\right)}{2}\\right)}{s}$$\n", " or\n", " $$C_\\mathrm{Yukawa} \\kappa^{2} s + \\frac{C_\\mathrm{gauge} \\kappa^{2} \\left(t^{2} + u^{2}\\right)}{2 s}$$\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.display import display, Markdown\n", "out=\"\"\n", "s = sympy.Symbol(\"s\")\n", "t = sympy.Symbol(\"t\")\n", "u = sympy.Symbol(\"u\")\n", "g1 = sympy.Symbol(\"g1\")\n", "g2 = sympy.Symbol(\"g2\")\n", "g3 = sympy.Symbol(\"g3\")\n", "ht = sympy.Symbol(\"ht\")\n", "cy = sympy.Symbol(r\"C_\\mathrm{Yukawa}\")\n", "cg = sympy.Symbol(r\"C_\\mathrm{gauge}\")\n", "kappa=sympy.Symbol(\"kappa\")\n", "for key, item, in gravitinodict[0].items():\n", " sitem=sympy.simplify(sympy.sympify(item))\n", " sitemsubst= sympy.simplify(sitem.subs(ht*ht,(cy-11*g1**2-21*g2**2-48*g3**2)/9).subs(g1*g1,(cg-27*g2**2-72*g3**2)/11))\n", " sitemsubstcollect=0\n", " for exprtemp in sympy.factor(sitemsubst.expand().as_independent(cy)).subs(t+u,-s)\\\n", " .subs(2*t*t+2*t*u,2*t*t+(s*s-t*t-u*u)).subs(t*t+2*t*u,t*t+(s*s-t*t-u*u)).subs(t*t+t*u,t*t+(s*s-t*t-u*u)/2):\n", " sitemsubstcollect += exprtemp.simplify()\n", " out+=f\"- statistics: {key}: $${sympy.latex(sitem).replace('ht^{2}',r'\\vert h_t\\vert^2')}$$\\n or\\n $${sympy.latex(sitemsubstcollect)}$$\\n\"\n", " # display(sympy.pprint(sitem))\n", "display(Markdown(out))" ] }, { "cell_type": "markdown", "id": "308a4103", "metadata": {}, "source": [ "users wanting to skip the analytical part can just use the explicit results below" ] }, { "cell_type": "code", "execution_count": 10, "id": "bcd58b7e", "metadata": {}, "outputs": [], "source": [ "Cgauge=sympy.S('11*g1^2+27*g2^2+72*g3^2')\n", "Cyukawa=sympy.S('11*g1^2+21*g2^2+48*g3^2+9*ht^2')\n", "gravitinolazydict={(-1, -1, -1): '('+str(Cgauge)+')*kappa**2*(s**2*t**2 + s**2*u**2 + t**2*u**2)/(s*t*u)',\\\n", " (1, -1, 1): 'kappa**2*(('+str(Cgauge)+')*(-s**2/2 - t**2/2) - ('+str(Cyukawa)+')*u**2)/u',\\\n", " (1, 1, -1): 'kappa**2*(('+str(Cgauge)+')*(-s**2/2 - u**2/2) - ('+str(Cyukawa)+')*t**2)/t',\\\n", " (-1, 1, 1): 'kappa**2*(('+str(Cgauge)+')*(t**2/2 + u**2/2) + ('+str(Cyukawa)+')*s**2)/s'}\n", "gravitinolazycouplings={'gauge': ('g1', 'g2', 'g3'), 'noneq': ('kappa',), 'others': ('ht',)}\n", "gravitinolazymasses=('(11*g1^2)/2', '(9*g2^2)/2', '(9*g3^2)/2')\n", "gravitinolazyrate=NumRate(gravitinolazydict,gravitinolazycouplings,gravitinolazymasses,1)" ] }, { "cell_type": "markdown", "id": "ed39c264", "metadata": {}, "source": [ "first check of SUSY behavior: the leading log parts of the rates are the same" ] }, { "cell_type": "code", "execution_count": 5, "id": "fa80e28f", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle 0$" ], "text/plain": [ "0" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "graviton.get_leadlog()-gravitino.get_leadlog()" ] }, { "cell_type": "code", "execution_count": 48, "id": "69ddbca1", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{T^{3} \\kappa^{2} \\left(11 g_{1}^{2} \\log{\\left(\\frac{8 k^{2}}{11 T^{2} g_{1}^{2}} \\right)} + 27 g_{2}^{2} \\log{\\left(\\frac{8 k^{2}}{9 T^{2} g_{2}^{2}} \\right)} + 72 g_{3}^{2} \\log{\\left(\\frac{8 k^{2}}{9 T^{2} g_{3}^{2}} \\right)}\\right)}{64 \\pi}$" ], "text/plain": [ "T**3*kappa**2*(11*g1**2*log(8*k**2/(11*T**2*g1**2)) + 27*g2**2*log(8*k**2/(9*T**2*g2**2)) + 72*g3**2*log(8*k**2/(9*T**2*g3**2)))/(64*pi)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gravitino.get_leadlog()" ] }, { "cell_type": "markdown", "id": "191a0c59", "metadata": {}, "source": [ "make the Debye masses explicit" ] }, { "cell_type": "code", "execution_count": 49, "id": "8d00c540", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{T \\kappa^{2} \\left(m_{D1}^2 \\log{\\left(\\frac{4 k^{2}}{m_{D1}^2} \\right)} + 3 m_{D2}^2 \\log{\\left(\\frac{4 k^{2}}{m_{D2}^2} \\right)} + 8 m_{D3}^2 \\log{\\left(\\frac{4 k^{2}}{m_{D3}^2} \\right)}\\right)}{32 \\pi}$" ], "text/plain": [ "T*kappa**2*(m_{D1}^2*log(4*k**2/m_{D1}^2) + 3*m_{D2}^2*log(4*k**2/m_{D2}^2) + 8*m_{D3}^2*log(4*k**2/m_{D3}^2))/(32*pi)" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "md1 = sympy.Symbol(\"m_{D1}^2\")\n", "md2 = sympy.Symbol(\"m_{D2}^2\")\n", "md3 = sympy.Symbol(\"m_{D3}^2\")\n", "T = sympy.S(\"T\")\n", "gravitino.get_leadlog().subs(g1*g1,2*md1/(11*T**2)).subs(g2*g2,2*md2/(9*T**2)).subs(g3*g3,2*md3/(9*T**2)).simplify()" ] }, { "cell_type": "markdown", "id": "92a1e883", "metadata": {}, "source": [ "look at top Yukawa contribution and its UV asymptotics. At large $k\\gg T$ we have $\\frac{63 \\zeta (3)}{128 \\pi ^3}\\approx 0.019$" ] }, { "cell_type": "code", "execution_count": 57, "id": "74ee793a", "metadata": {}, "outputs": [], "source": [ "gravitonrateplotht=graviton.rate(k,1,(0,0,0,1),0)\n", "gravitinorateplothtdict=gravitino.rate(k,1,(0,0,0,1),0)" ] }, { "cell_type": "code", "execution_count": 59, "id": "fdca090c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams['ytick.right'] = True \n", "plt.rcParams['ytick.labelright'] = False \n", "plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True\n", "plt.rcParams[\"xtick.top\"] = True\n", "plt.rcParams['xtick.direction']='in'\n", "plt.rcParams['ytick.direction']='in'\n", "plt.plot(k,gravitonrateplotht[1],\"k\",label=\"graviton\")\n", "\n", "plt.plot(k,gravitinorateplothtdict[1],\"r\",label=\"gravitino (3/2 component only)\")\n", "\n", "plt.xlim(0,12)\n", "plt.ylim(0.,0.125)\n", "#the UV limit is \n", "from scipy.special import zeta\n", "\n", "plt.axhline(63*zeta(3)/(128*numpy.pi**3))\n", "plt.xlabel(\"k/T\")\n", "plt.ylabel(r\"$\\Gamma/T^3\\kappa^2\\vert h_t\\vert^2$\")\n", "plt.title(r\"MSSM, graviton and gravitino, $\\vert h_t\\vert^2$ contribution only\")\n", "\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 89, "id": "991a2753", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixcoupling=1.\n", "couplings=[]\n", "for i in range(4):\n", " coupvec=[0,0,0,0]\n", " coupvec[i]=fixcoupling\n", " couplings.append(coupvec)\n", "\n", "plotres=[]\n", "for coupling in couplings:\n", " temprate=gravitino.rate(k,1,(coupling),0)\n", " plotres.append(temprate)\n", "\n", "plt.rcParams['ytick.right'] = True \n", "plt.rcParams['ytick.labelright'] = False \n", "plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True\n", "plt.rcParams[\"xtick.top\"] = True\n", "plt.rcParams['xtick.direction']='in'\n", "plt.rcParams['ytick.direction']='in'\n", "\n", "fig=plt.figure()\n", "cc=1.2\n", "fig.set_size_inches(6*cc,6*cc)\n", "gs = fig.add_gridspec(2, 2, hspace=0, wspace=0)\n", "(ax, ax2) = gs.subplots(sharey='row',sharex='col')\n", "myaxes=[ax[0],ax[1],ax2[0],ax2[1]]\n", "labels=['SU(2)','SU(3)','U(1)',r'$h_t$']\n", "mass=[numpy.sqrt(9/2)*fixcoupling,numpy.sqrt(9/2)*fixcoupling,numpy.sqrt(11/2)*fixcoupling,-1]\n", "plotresshuffle=[plotres[1],plotres[2],plotres[0],plotres[3]]\n", "norm=[1/3,1/8,1,1]\n", "for i in range(4):\n", " myax=myaxes[i]\n", " if i<3:\n", " myax.plot(k,plotresshuffle[i][1]*norm[i],\"r:\",label='strict LO')\n", " myax.plot(k,plotresshuffle[i][2]*norm[i],\"b--\",label='subtr')\n", " myax.plot(k,plotresshuffle[i][3]*norm[i],\"k\",label=\"tuned\")\n", " myax.legend()\n", " else:\n", " myax.plot(k,plotresshuffle[i][3]*norm[i],\"k\")\n", " myax.set_xlim(0,12)\n", " myax.axvline(mass[i],color='gray')\n", " if i==0:\n", " myax.set_ylim(0.,0.2)\n", " myax.set_ylabel(r'$\\Gamma_\\psi/d_i\\kappa^2T^3$')\n", " if i==2:\n", " myax.set_ylim(0.,0.2)\n", " myax.set_ylabel(r'$\\Gamma_\\psi/d_i\\kappa^2T^3$')\n", " myax.set_yticks(myax.get_yticks().tolist())\n", " myax.set_xticks(myax.get_xticks().tolist())\n", " tlabels = myax.get_yticklabels()\n", " # remove the last label\n", " tlabels[-1] = \"\"\n", " # set these new labels\n", " myax.set_yticklabels(tlabels)\n", " tlabels = myax.get_xticklabels()\n", " # remove the last label\n", " tlabels[-1] = \"\"\n", " # set these new labels\n", " myax.set_xticklabels(tlabels)\n", " if i>1:\n", " myax.set_xlabel('k/T')\n", " myax.set_title(labels[i],y=0.88)\n", "# fig.supxlabel('k/T')\n", "fig.suptitle(r'$g_1=g_2=g_3=|h_t|=$'+str(fixcoupling),y=0.92)\n", "plt.savefig(\"../../../gravitinopaper/rate_\"+str(fixcoupling)+\".pdf\",bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 90, "id": "da68c8ea", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixcoupling=1.4\n", "couplings=[]\n", "for i in range(4):\n", " coupvec=[0,0,0,0]\n", " coupvec[i]=fixcoupling\n", " couplings.append(coupvec)\n", "\n", "plotres=[]\n", "for coupling in couplings:\n", " temprate=gravitino.rate(k,1,(coupling),0)\n", " plotres.append(temprate)\n", "\n", "plt.rcParams['ytick.right'] = True \n", "plt.rcParams['ytick.labelright'] = False \n", "plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True\n", "plt.rcParams[\"xtick.top\"] = True\n", "plt.rcParams['xtick.direction']='in'\n", "plt.rcParams['ytick.direction']='in'\n", "\n", "fig=plt.figure()\n", "cc=1.2\n", "fig.set_size_inches(6*cc,6*cc)\n", "gs = fig.add_gridspec(2, 2, hspace=0, wspace=0)\n", "(ax, ax2) = gs.subplots(sharey='row',sharex='col')\n", "myaxes=[ax[0],ax[1],ax2[0],ax2[1]]\n", "labels=['SU(2)','SU(3)','U(1)',r'$h_t$']\n", "plotresshuffle=[plotres[1],plotres[2],plotres[0],plotres[3]]\n", "mass=[numpy.sqrt(9/2)*fixcoupling,numpy.sqrt(9/2)*fixcoupling,numpy.sqrt(11/2)*fixcoupling,-1]\n", "\n", "norm=[1/3,1/8,1,1]\n", "for i in range(4):\n", " myax=myaxes[i]\n", " if i<3:\n", " myax.plot(k,plotresshuffle[i][1]*norm[i],\"r:\",label='strict')\n", " myax.plot(k,plotresshuffle[i][2]*norm[i],\"b--\",label='subtr')\n", " myax.plot(k,plotresshuffle[i][3]*norm[i],\"k\",label=\"tuned\")\n", " myax.legend()\n", " else:\n", " myax.plot(k,plotresshuffle[i][3]*norm[i],\"k\")\n", " myax.set_xlim(0,12)\n", " myax.axvline(mass[i],color='gray')\n", "\n", " if i==0:\n", " myax.set_ylim(0.,0.25)\n", " myax.set_ylabel(r'$\\Gamma_\\psi/d_i\\kappa^2T^3$')\n", " if i==2:\n", " myax.set_ylim(0.,0.25)\n", " myax.set_ylabel(r'$\\Gamma_\\psi/d_i\\kappa^2T^3$')\n", " myax.set_yticks(myax.get_yticks().tolist())\n", " myax.set_xticks(myax.get_xticks().tolist())\n", " tlabels = myax.get_yticklabels()\n", " # remove the last label\n", " tlabels[-1] = \"\"\n", " # set these new labels\n", " myax.set_yticklabels(tlabels)\n", " tlabels = myax.get_xticklabels()\n", " # remove the last label\n", " tlabels[-1] = \"\"\n", " # set these new labels\n", " myax.set_xticklabels(tlabels)\n", " if i>1:\n", " myax.set_xlabel('k/T')\n", " myax.set_title(labels[i],y=0.88)\n", "# fig.supxlabel('k/T')\n", "fig.suptitle(r'$g_1=g_2=g_3=|h_t|=$'+str(fixcoupling),y=0.92)\n", "plt.savefig(\"../../../gravitinopaper/rate_\"+str(fixcoupling)+\".pdf\",bbox_inches='tight')\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 91, "id": "a00ecdc5", "metadata": {}, "outputs": [ { "data": { "image/png": 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HUezY2trqbXvzsMuXL+Pp6Ul8fHyBzH+StkWYm7QtBeNJbYs2bzFF21LkexSLktOn4ddfoWdP0yaKQpiLoijExsZy584dc4dSbLm6uuLh4WGSSeVCWAppWwpeYbUtkigaQfthPC3NvHEIYSrahrxixYo4OjpKMmNCiqKQkpKiO240+/Y3QhR30rYUnMJuWyRRNIJ2OyJJFEVxkJmZqWvI3dzczB1OsVSqVClA3ei/YsWKjx0qEqK4kLal4BVm21Kkt8cpaqRHURQn2nlDjo6OZo6keNP+fB83TysxEWJj1X+FsHTSthSO3LQtpiCJohG0iWK2zc+FsHgyJFSwcvPzHTMGKlWC2bMLISAhCom0LQWrsH6+kigaQTv0LAu4RG5169aNF198MU/XDhw4kGeeecbEEYmiSKa1CGNJ2yIKiySKRpCh5+Lp6NGj9OvXj+rVq+Pg4ECVKlXo1KkTP/zwg66ORqNh1KhRBq9ftmwZGo0mx4btO3fuZOPGjbz//vu6shMnTvDee+8REBCAk5MTlSpVonv37hw4cCDHfd9//32WL1/OkSNHTPNGhZ758+fjWkR20JcPocVTYbYtV69eZfDgwdSrVw8nJydcXV1p1qwZCxYs4OFd8KRtKVhFqW0xBUkUjdC0KVy+DNu3mzsSYSq7du2iSZMmHDlyhBdffJEff/yRF154ASsrK6ZPn56ve3/99dd07NiR2rVr68p+/fVXZs+eTZMmTZg6dSpjxozh5MmTtGjRgs2bN+td36hRI109kTvDhw8nNDQ0V3UHDBjAqVOncn1vLy8vpk2blrfAnkA+hBY/hd22xMXFcfnyZfr168c333zDZ599RqVKlRg+fDgffvih3vXSthjPUtsWU5BVz0ZwcICKFc0dhTClzz//HBcXF/bv35/jE6B264G8uH79OmvWrGHmzJl65YMGDWLSpEm6EzkAnn/+eby9vZk0aRLBwcF69Z955hkmTpzITz/9pHeNyJ/09HRKlSqlWzlobjb3W2JJFIuPwm5b/P39c/Q8jho1ip49e/L999/z6aef6q2MlbalYBS1tsUUpEdRlGhnz56lQYMGBocJKubjU8GaNWvIyMjIkfgFBgbmaJTd3Nxo27YtUVFROe7TqVMnkpOT2bRpU55jKY6WLVuGn58fpUqVws3NjeDgYN59910WLFjAP//8g0aj0Q3ZXbhwAY1Gw5IlSwgKCsLBwYE//vjD4PDQv//+S9OmTXFwcKB8+fL06dMHgHbt2nHx4kXeeust3b1NSXoUi5/CblsexcvLi5SUFNIe+uWStsWw4ta2mIIkika4eRPeegveecfckQhTqV69OuHh4URGRpr0vrt27cLNzY3q1avnqn5sbCzly5fPUe7j40OpUqXYuXOnSeN7rORk9ZF9XlNamlr28JJ/bd2srAdl6elq2b17uatrpJiYGAYNGsTzzz9PVFQUW7dupW/fvkycOJFnnnmGLl26EBMTQ0xMDK1atdJd98EHH/Dmm28SFRVFSEhIjvuuWbOGPn360K1bNw4dOkRYWBjNmjUDYMWKFVStWpVPPvlEd29T0iaKMkex+DBX23L37l3i4uK4cOECCxYsYN68ebRs2TJHD5e0LTkVx7bFFCRRNEJSEkybBj/9ZO5IhKm88847pKSkEBAQQKtWrXj//ffZuHFjvvelOnHiBF5eXrmqu337dnbv3s2AAQNyPGdjY4OnpyfHjx/PVzxGKVNGfcTFPSj7+mu17OFJ9xUrquWXLj0omzFDLRs5Ur+ul5danr3ndP58o8OLiYkhIyODvn374uXlhZ+fH6+++iplypShVKlS2Nvb4+HhgYeHh97ZxqNHj6Zv377UqFHD4EkGn3/+OQMHDuTjjz/G29ubhg0bMnbsWADKlSuHtbU1Tk5OunubUkAAjBgBLVqY9LbCjMzVtkyfPp0KFSpQo0YNhg8fTosWLVi8eHGOetK25FQc2xZTkETRCPb26r+yj2Lx0alTJ3bv3k2vXr04cuQIX331FSEhIVSpUoVVq1bl+b43b96kbNmyT6x3/fp1nn32WWrUqMF7771nsE7ZsmWJy96wlnANGzakY8eO+Pn50b9/f2bPns3t27efeF2TJk0e+/zhw4fp2LGjqcI0SvfuMHcuDB5slpcXBcBcbcugQYPYtGkTixYt4tlnnwXUXkZDpG3RVxzbFlOQRNEI2g8QWVmQmWneWITpNG3alBUrVnD79m327dvH2LFjSUxMpF+/fkZ92n54bsnDW1I8LDk5mR49epCYmMg///zzyAnliqIU7ryVpCT1kX0o/N131bIff9Sve/26Wl6t2oOy115Ty+bM0a974YJa7u39oGz4cKPDs7a2ZtOmTaxbtw4fHx9++OEH6tWrx/nz5x97XenSpR/7fHGafC6KBnO0LdWrVyc4OJhBgwbxxx9/ULNmTYKDgw0mi9K26JO2xTBJFI2QradZehWLITs7O5o2bcrkyZP5+eefSU9PZ+nSpQDY29s/8lN5SkoKAA4ODroyNze3x34STUtLo2/fvkRERPDPP//g6+v7yLq3b982OH+xwJQurT6y/wGxs1PLtN3qD9e1ytaU2NqqZdl+Ho+tmwcajYbWrVvz8ccfc+jQIezs7Pj777+xs7MjM4+f4vz9/QkLC3vk8/m595NkZj74GyqKn8JsWx7Wr18/oqOj2bZtW47npG3Jqbi1LaYgiaIRJFEsObRDCdqJxdWrV+fkyZMG62rLs08ur1+//iM/hWZlZTF06FDCwsJYtGgRQUFBj4wjIyOD6OhovLN/Ui7h9u7dy+TJkzlw4ACXLl1ixYoV3LhxA29vb7y8vIiIiODkyZPExcUZNR9s4sSJ/Pnnn0ycOJGoqCiOHj3Kl19+qXvey8uLbdu2ceXKFZMP1/3xBzg5wf2RQlGMFWTbYog2CY2Pj9crl7Ylp+LYtpiCJIpGyP4BRRLF4mHLli0Gh3HWrl0LQL169QD1uKw9e/YQHh6uV+/OnTv88ccfBAQE6E1CbtmyJbdv3+bcuXM57v3666+zZMkSfvrpJ/r27fvY+I4fP869e/f0VtiVdM7Ozmzbto1u3bpRt25dxo8fz9SpU+natSsvvvgi9erVo0mTJlSoUMGoFZ3t2rVj6dKlrFq1ioCAADp06MC+fft0z3/yySdcuHCBWrVqUaFCBZO+JzlHvvgp7Lblxo0bBuOYM2cOGo2Gxo0b65VL25JTcWxbTEGjPGkilSAhIQEXFxfi4+OpWNGZ1FR1SkQudz55orS0NKZMmQLA2LFj9VZTiYLl6+tLSkoKffr0oX79+qSlpbFr1y6WLFmCp6cnhw4dwtXVlWvXrhEYGMjt27d56aWXqF+/PlevXmX+/PnExMSwfv162rdvr7vvtWvXqFq1KjNmzOB///ufrnzatGm89dZbtGzZkldffTVHPH369NGb7zJ16lQmTJhAbGwsTk5OJn3v9+7d4/z589SoUUNvaEuY1uN+zpcvX8bT05O5c+N5/nln2rWDLVtM99rStphPYbcto0ePZufOnXTp0oVq1apx69Ytli9fzv79+3n99df5/vvv9eKTtsXyPe7nnD1vcXZ2ztfryMksRoqIUD/9V6li7kiEKXzzzTcsXbqUtWvXMmvWLNLS0qhWrRqvvvoq48eP122a6u7uzt69e5k0aRJ//fUX165dw9nZmVatWrFkyRKaN2+ud193d3e6devGX3/9pdeYHz58GIDdu3eze/fuHPGcP39eL1FcunQpffv2NXlDLooW2XC7+CnstqV79+6cPXuWuXPncuPGDRwcHPD392fevHkMGzYsR3zStojckkTRSHXrmjsCYUpdunShS5cuuapbpUoVZs+enet7v/POO7Rr147Tp09Tp04dQD0sfn4u9/c6fPgw+/bty3FUlyh+ZOi5+CnstqVTp0506tQpV9dL2yKMIXMUhSggbdu2pXPnznz11Vd5uv6LL76gX79+BAQEmDYwUeRo5z9Lj6LIDWlbRGGSHkUjTZsGV67AK69AzZrmjkYUdevWrcvztYZOUxDFk3ZnEEkURW5J2yIKiySKRvr1Vzh2DLp2lURRCGEa7u7Qvz9UrWruSIQQQp8kikaSY/yEEKZWuzb89Ze5oxBCiJxkjqKRtInivXvmjUMIIYQQoqBJomgk7VZF0qMohDClrCxpV4QQRY8kikaSHkUhhKlduQLW1uoxfkIIUZRIomgk6VEUwrJ5eXkxbdo0c4ehR7uPYnq62rMohLA8RbFtMQVJFI2kTRSlR1GI4kuj0bBy5cpCe73sJ+vJFjlCFF+F3baYgiSKRpoyBY4ehSFDzB2JEMKc0kyY0WmntICMVghR0pmybTEFSRSN5OUFvr5Qrpy5IxGi5Fq2bBl+fn6UKlUKNzc3goODSU5Opl27dowePVqvbmhoKMOHD9crS0xMZNCgQZQuXZoqVaowY8YM3XNeXl4A9OnTB41Go/t+0qRJBAQE8Ouvv1KjRg0ctMMLJiCJohBFQ3FrW0xB9lEUQuhJTn70c9bWD6ZfPKmulRWUKvXkuqVLGxdfTEwMgwYN4quvvqJPnz4kJiayfft2FEXJ9T2+/vprxo0bx8cff8yGDRt48803qVu3Lp06dWL//v1UrFiRefPm0aVLF6ytrXXXnTlzhuXLl7NixQq98vzSaNTh57Q0SRRF8SVtS+G3LaYgiaKR/vtPfQQGQvfu5o5GCNMrU+bRz3XrBmvWPPi+YkVISTFcNygItm598L2XF8TF5axnRBsMqI15RkYGffv2pXr16gD4+fkZdY/WrVvzwQcfAFC3bl127tzJd999R6dOnahQoQIArq6ueHh46F2XlpbGb7/9pqtjSvb2kiiK4k3aFvO0LfklQ89G2rIFJk7U/4UWQhSehg0b0rFjR/z8/Ojfvz+zZ8/m9u3bRt2jZcuWOb6Piop64nXVq1cvsIa8e3cIDdUfhhZCFJ7i2rbkl/QoGknb3X33rnnjEKKgJCU9+rmHR0SuX390XauHPoZeuJDnkB6KwZpNmzaxa9cuNm7cyA8//MCHH37I3r17sbKyyjFMlJ6ebpoXBkobO5ZlhD//LLBbC1EkSNvyaAXZtuSXJIpGku1xRHFnTHtVUHWfRKPR0Lp1a1q3bs2ECROoXr06f//9NxUqVCAmJkZXLzMzk8jISNq3b693/Z49e3J87+3trfve1taWzMxM0wUshJC2BctsWyxi6HnGjBl4eXnh4OBA8+bN2bdv32PrL126lPr16+Pg4ICfnx9r167Ve3748OFoNBq9R5cuXXIViySKQpjX3r17mTx5MgcOHODSpUusWLGCGzdu4O3tTYcOHVizZg1r1qzhxIkTvPLKK9y5cyfHPXbu3MlXX33FqVOnmDFjBkuXLuXNN9/UPe/l5UVYWBixsbFGDz3ll7HzqoQQplHc25a8KvKJ4pIlSxgzZgwTJ07k4MGDNGzYkJCQEK4/ol96165dDBo0iJEjR3Lo0CFCQ0MJDQ0lMjJSr16XLl2IiYnRPf7M5biPDD0LYV7Ozs5s27aNbt26UbduXcaPH8/UqVPp2rUrzz//PMOGDWPo0KEEBQVRs2bNHJ/4Ad5++20OHDhAo0aN+Oyzz/j2228JCQnRPT916lQ2bdqEp6cnjRo1KpT31bYt2NjAunWF8nJCiIcU17YlvzSKMeu+zaB58+Y0bdqUH3/8EYCsrCw8PT15/fXXdSuLshswYADJycmsXr1aV9aiRQsCAgKYOXMmoPYo3rlzJ9e7oyckJODi4kJ0dDSbN5djxAhH2rTJYPPmTOxNMPM8LS2NKVOmADB27Fjssh/TIEQBuXfvHufPny+S+3YVJ9l/zhqNhtRsy5qvXLmCj48P0dHR9O/vwZ49Nvz+ewr9+llL2yIslrQtheNxbUtCQgKenp7Ex8fj7Oycr9cp0j2KaWlphIeHExwcrCuzsrIiODiY3bt3G7xm9+7devUBQkJCctTfunUrFStWpF69erzyyivcvHnzifF4enoyYsQAAHbsCNc1wEIIkRtTpkzBxcVF9/Dx8QHUtmXPnq0ADB48UtoWIYRRHm5bPD09TXbvIp0oxsXFkZmZibu7u165u7s7sbGxBq+JjY19Yv0uXbrw22+/ERYWxpdffsl///1H165dnzjBNDo6mvPn/2Dz5mQOHGjA2LFj8/jOhBAl0dixY4mPj9c9jh8/DqhtS0hIEAA//jhX2hYhhFEebluio6NNdu8Suep54MCBuq/9/Pzw9/enVq1abN26lY4dOz7yOmdnZ5ydnbl/6o4QQhjF3t5eb0g5ISEBUNuWMmVsAbCyKiV7KQohjPJw22JKRbpHsXz58lhbW3Pt2jW98mvXruXY1VzLw8PDqPoANWvWpHz58pw5cyb/QQshRB5op3LJQjkhRFFSpBNFOzs7AgMDCQsL05VlZWURFhaWY/dzrZYtW+rVB9i0adMj6wNcvnyZmzdvUqlSpSfGdPs2fPut+hBCCFORrbeEEEVRkU4UAcaMGcPs2bNZsGABUVFRvPLKKyQnJzNixAgAhg4dqjef580332T9+vVMnTqVEydOMGnSJA4cOMCoUaMASEpK4t1332XPnj1cuHCBsLAwevfuTe3atfWWsD/KnTvw9tvw0UcF8naFECWUry906gT3j5gVQogiocjPURwwYAA3btxgwoQJxMbGEhAQwPr163ULVi5duoRVtvN8WrVqxaJFixg/fjzjxo2jTp06rFy5El9fX0A9oiciIoIFCxZw584dKleuTOfOnfn0009zNb6ffR9FRQGNxvTvWQhR8owerT6EEKIoKfKJIsCoUaN0PYIP27p1a46y/v37079/f4P1S5UqxYYNG/IcizZRVBRITX0wXCSEEEIIUdwU+aHnokabKIJMOhdCCCFE8SaJopFsbcHaWv1aEkUhxNatW9FoNAbPfTXGzJng6grPP2+SsIQQFs5UbUt+SaJoJI0GHB3Vr1NSzBuLECVVu3btGF3MJvRlZUF8vPoQQphHcWxb8ksSxTyQRFEIYWrZF8oJIURRIYliHixdCjt2QK1a5o5EiJJn+PDh/Pfff0yfPh2NRoNGo2H+/Pm4urrq1Vu5ciWabNsSTJo0iYCAABYuXIiXlxcuLi4MHDiQxMREXZ2srCymTJlCjRo1KFWqFA0bNmTZsmV69127di1169alVKlStG/fngsXLpjkfUmiKIR5Fde2Jb8sYtVzUdO2rbkjEML0FEUhxUzd5I6OjnoN7+NMnz6dU6dO4evryyeffALAmjVrcnXt2bNnWblyJatXr+b27ds888wzfPHFF3z++ecATJkyhd9//52ZM2dSp04dtm3bxuDBg6lQoQJBQUFER0fTt29fXnvtNf73v/9x4MAB3n777by96YdIoiiKK2lbzNu25JckikIIAFJSUihTpoxZXjspKYnSpUvnqq6Liwt2dnY4Ojrqjua01q4we4KsrCzmz5+Pk5MTAEOGDCEsLIzPP/+c1NRUJk+ezObNm3UnOdWsWZMdO3bwyy+/EBQUxM8//0ytWrWYOnUqAPXq1ePo0aN8+eWXxr7lHLRTWiRRFMWNtC3mbVvySxLFPFizBs6cgc6dwdvb3NEIIXLLy8tL15ADVKpUievXrwNw5swZUlJS6NSpk941aWlpNGrUCICoqCiaN2+u9/zjjgc1hvQoCmG5inLbkl+SKObBjBmwbh3MmyeJoig+HB0dSUpKMttr54eVlRWKouiVpaen56hna2ur971GoyErKwtA997XrFlDlSpV9Orl5tSm/CpXDlq0kCP8RPEjbYt525b8kkQxD7S92MnJ5o1DCFPSaDS5HqIxNzs7OzIzM3XfV6hQgcTERJKTk3Xv4fDhw0bd08fHB3t7ey5dukRQUJDBOt7e3qxatUqvbM+ePcYF/8jXh927TXIrIYoUaVvM27bklySKeSDb4whhXl5eXuzdu5cLFy5QpkwZmjdvjqOjI+PGjeONN95g7969zJ8/36h7Ojk58c477/DWW2+RlZVFmzZtiI+PZ+fOnTg7OzNs2DBefvllpk6dyrvvvssLL7xAeHi40a8jhCi6pG3JSbbHyQNtoig9ikKYxzvvvIO1tTU+Pj5UqFCBhIQEfv/9d9auXYufnx9//vknkyZNMvq+n376KR999BFTpkzB29ubLl26sGbNGmrUqAFAtWrVWL58OStXrqRhw4bMnDmTyZMnm/jdCSHMRdqWnDTKw4PvIoeEhARcXFyIj4/H2dmZd96BqVPhnXfg66/zf/+0tDSmTJkCwNixY7Gzs8v/TYV4gnv37nH+/Hlq1KiBg4ODucMpth73c758+TKenp7Ex8djY+NMvXrqSEV09IMPpPkhbYswB2lbCsfjfs4P5y35IUPPeaCdaiFDz0IIU7G3h8uX1a9TUkyTKAohRH7J0HMeyGIWIYSpWVuDtsNPtsgRQhQV0qOYB08/DX5+so2FEMK0HB0hLU1GK4QQRYckinlQq5ac8yyEML3SpeHOHRmtEEIUHTL0LEQJJ+vZCpYxP1/ZeksUJ9K2FKzC+vlKopgHMTEwdy4sXmzuSITIO+1JAimSlRQo7c/34ZMbDJGtt0RxIG1L4TCmbckPGXrOgzNnYORIqFsXBg40dzRC5I21tTWurq6680gdHR3RaDRmjqr4UBSFlJQUrl+/jqurK9bW1k+8xtdXXdAiK56FJZO2pWDlpW3JD0kU86BMGfVf+dQvLJ2HhweArkEXpufq6qr7OT/J778XcDBCFBJpWwqeMW1LfkiimAfaRDEx0bxxCJFfGo2GSpUqUbFiRYMH3Yv8sbW1LfBP+0IURdK2FKzCbFskUcwDbaKYlASKAtKjLiydtbW1JDRCCJOTtsXyyWKWPNAmillZcO+eeWMRQhQfkyap+7NOnWruSIQQQiWJohE++OADatWqxYoVC3VlMvwshDCVhAS4dAlkWpcQoqiQRNEIN2/e5Ny5c8TFXdcd45eUZN6YhBDFhyyUE0IUNTJH0Qil72eHycnJ/P67uo2Fu7uZgxJCFBvyAVQIUdRIomgEbaKYlJREaKh5YxFCFD/SoyiEKGpk6NkIZe634snSigshCoC2R1HmPgshigrpUTSCtkcxMTGRbdvg3Dlo3Rrq1DFzYEKIYsHJSf1XPosKIYoK6VE0QvZE8euvYcQI2LbNzEEJIYqN8uWhfn2oVs3ckQghhEp6FI2gHXpOSkqiQgW1LCHBjAEJIYqVoCCIijJ3FEII8YD0KBpBmygmJibi7Mz9r80YkBBCCCFEAZJE0QjZexS1iaL0KAohhBCiuJJE0QhO92eaJyQkSKIohDC5O3fAzw9q1FCPCBVCCHOziERxxowZeHl54eDgQPPmzdm3b99j6y9dupT69evj4OCAn58fa9eufWTdl19+GY1Gw7Rp054YhzZRjI+Pl0RRCGFy9vYQGQkXLsim20KIoqHIJ4pLlixhzJgxTJw4kYMHD9KwYUNCQkK4/ojDUHft2sWgQYMYOXIkhw4dIjQ0lNDQUCIjI3PU/fvvv9mzZw+VK1fOVSzaRDExMREnJwWA+Pg8vjEhhHiIgwNYW6tfy/xnIURRUOQTxW+//ZYXX3yRESNG4OPjw8yZM3F0dGTu3LkG60+fPp0uXbrw7rvv4u3tzaeffkrjxo358ccf9epduXKF119/nT/++ANbW9tcxeJ8vxtRURSaNEli0SKYMCF/708IIbQ0GmShnBCiSCnSiWJaWhrh4eEEBwfryqysrAgODmb37t0Gr9m9e7defYCQkBC9+llZWQwZMoR3332XBg0a5Dqe9PR0bGzUHYVsbC7Tt28qLVsa846EECVZamoqCQkJukfi/Wwwe1mZMurkREkUhRC59XDbkmDCeXFFOlGMi4sjMzMTd3d3vXJ3d3diY2MNXhMbG/vE+l9++SU2Nja88cYbRsVTrVo1MjIyAPDx8WHKlClGXS+EKNmmTJmCi4uL7uHj4wOAp6enriw6+hgg85+FELn3cNvi6elpsnsX6USxIISHhzN9+nTmz5+PRqMx6tro6Gi8vLwAWLVqAz4+H/L77wUQpBCiWBo7dizx8fG6x/HjxwHo3r07AF9//TXNm3sDkigKIXLv4bYlOjraZPcu0oli+fLlsba25tq1a3rl165dw8PDw+A1Hh4ej62/fft2rl+/TrVq1bCxscHGxoaLFy/y9ttv65LAR3F2dqZcuXIAJCamM2CALUOGwP1ORiGEeCx7e3ucnZ11D+0COVdXVwAyMjKoVcuGunUhl1OnhRAiR9uiXVNhCkU6UbSzsyMwMJCwsDBdWVZWFmFhYbR8xOTAli1b6tUH2LRpk67+kCFDiIiI4PDhw7pH5cqVeffdd9mwYcMTYypbtiwAaWm3dWXyyV8IkR/ZT3364w84eRJ69DBzUEIIgQWc9TxmzBiGDRtGkyZNaNasGdOmTSM5OZkRI0YAMHToUKpUqaKbL/jmm28SFBTE1KlT6d69O4sXL+bAgQPMmjULADc3N9zc3PRew9bWFg8PD+rVq/fEeLSf/JOS7uDoCCkp6ia59zsahRDCaNk38xdCiKKkyCeKAwYM4MaNG0yYMIHY2FgCAgJYv369bsHKpUuXsLJ60DHaqlUrFi1axPjx4xk3bhx16tRh5cqV+Pr6miQebY/i7du3cXV9kCgKIUReZe9RFEKIoqTIJ4oAo0aNYtSoUQaf27p1a46y/v37079//1zf/8KFC7muq52jqE0Ur16VRFEIkT/ZT32aPx+++04dev78c/PGJYQQRXqOYlGkTRRv3brF/VFobt9+dH0hhHiS7Kc+xcdDRAScPWvmoIQQAgvpUSxKtInizZs3uT8KLYmiECJX7t69y6lTp4iKiuLUqVMcPnwYABcXF0DtUbz/pRwPKoQoEiRRNJJ2IczNmzf55BN47jlo3tzMQQkhigxFUbhx4wYnTpzgxIkTREVF6b6+ePEiiqLkuCb7YhbtSIUkikKIokASRSOVL18eUBPFh04KFEKUIJmZmVy4cIHjx4/nSApvP2aYoVy5cnh7e1O3bl3c3d354osvdHue3blzR9ejKHOfhRB5ce/ePaKiokx2P0kUjaRNFOPi4swciRCiMGRkZHDu3DmOHz+uexw7dowTJ05w7949g9doNBpq1KhB/fr1czwqVKigq3f58mW++OILvaFnbY+iJIpCiEdRFIW4uDi9EQvth9VHjVzklSSKRtImirdu3eLixQwOHbLBxQXatzdzYEKIfMnIyODMmTMcO3ZMlwweP36ckydPkpaWZvAaBwcH6tWrh4+Pj14yWKdOHUqVKpXr19YmiqmpqTg43AMcZO6zEILMzEzOnz+fIxk8ceIEt27deuR1Tk5OJttuSxJFI7m5uaHRaFAUhdWrbzJqlDvBwZIoCmEpFEXh0qVLREZGEhkZydGjR4mMjCQqKuqRCaGjoyPe3t74+PjoPWrUqIG1tXW+Y3JycsLKyoqsrCzgNhUrVqJsWfV4UBtppYUo9tLS0jhz5ozeh9Tjx49z6tSpR7ZLGo0GLy8vvQ+p2mktDg4OugNC8kuaICNZW1vj5uZGXFwcVlY3AHcek9QLIcwoLi6OiIgIvaTw2LFjj/ykXbp0aXx8fGjQoIFeQli9enW9jf1NzcrKCldXV27duoWi3ObatUoF9lpCCPNJTU3l1KlTOaaynD59moyMDIPXaEcutIlg9pELR0dHg9eY8pQnSRTzoEKFCsTFxZGZeQ3w5eZNc0ckRMmWnp7OiRMniIiI4MiRI0RERBAREUFMTIzB+ra2ttSvXx9fX1/dw8/Pr8ATwscpW7Yst27deuxwkhDCMmRkZHD69Gndh9TIyEiOHTvGmTNnyMzMNHiNk5NTjlELHx8fqlWrZrZ2CfKQKN6+fRtFUShXrhw3btxg+/bt1KtXjwYNGhREfEWSu7s7UVFRpKdfB5AeRSEK0fXr13XJoPbf48ePk56ebrB+rVq18PPz00sK69ati62tbSFH/njlypXj7Nmzj10xLYQoWrJPZdFOY3nSVBYXFxeDIxdVq1ZFo9EU8jt4MqMSxV9//ZXJkycD8O677/LHH3/QsGFDJk6cyJtvvskLL7xQIEEWNR4eHgDcvRsLQGIipKaCvb05oxKieMnKyuLcuXMcPnyYQ4cO6f59VC+hs7Mz/v7++Pv707BhQ/z9/fH19dWdo1zUac+Rv3XrFi+9BHv2wLRpMv9ZiKIiPj5eN1qhfTxpKkuDBg10IxYNGjSgQYMGVKpUqUgmhI9iVKL4/fffc+zYMe7evUu1atU4f/48FSpUID4+nqCgoBKXKN65E4u1NWRmws2bULmymQMTwkKlpaVx7NgxXTJ46NAhjhw5YrAB1mg01KlTRy8h9Pf3p3r16hbV+D4s+2b+586px/hduWLmoIQogTIzMzl79qzeNJYjR45w8eJFg/WzT2XJPnphzqkspmRUomhjY0OpUqUoVaoUtWvX1u0H5uLiYtENtLG0iWJsbAxubnD9uiSKQuRWamoqR48eJTw8XPc4evSowaFje3t7/Pz8aNSoEQEBATRq1Ag/Pz+L6SU0RvZE8f5JoTKtRYgClpycTEREhG7U4siRI0RGRpKSkmKwvqenp94HVD8/P+rUqVPkprKYklGJorW1Nffu3cPBwYH//vtPV56UlGTywIqySpXUFYlXr15l6lR1+4oqVcwclBBF0L1793IkhZGRkQaTwrJly+qSQe2/9evXx6aE7A+TfTN/SRSFML0bN27oRiy0oxenTp0yuDl1qVKl8PX11SWFDRs2xM/PTzdFpCQxqgXevHkz9vcn4mk3iAVISUlh1qxZpo2sCKt8v+swJiaGwYPNHIwQRURmZibHjx9n//797Nu3j/379xMREWFwywc3NzcCAwP1HpY+dJxf2hGaGzdu4O2tlsmOCkIYT1EULl++THh4OAcPHuTgwYMcOnSIq1evGqxfqVIl3QfUgIAA/P39qV27tkn2SC0OjEoUsyeHmzdvpmPHjmg0GipWrEjFihVNHlxRVeV+9+EVmUAkSihFUTh//rxeUnjw4EGSk5Nz1C1fvnyOpLBatWolOik0JHui2Lq1WiY9ikI8nqIoREdH641ahIeHc+PGjRx1tfObtSMW2uTQ3d3dDJFbjjyP6YSEhBATE1OiEkStqlWrAtoVUEmcO1cGT08IDDRzYEIUkPj4ePbv38+ePXvYs2cPe/fuNXjeeZkyZWjSpAlNmzalWbNmNG3aVJLCXNK2pTdu3OD+KLT0KArxkKtXr7J//37279/PgQMHOHjwoMGk0NramgYNGhAYGEjjxo1p1KgR/v7+ODk5mSFqy5bnRNGUB05bGicnJ5ydnUlISODnn6OZOdObV16RRFEUD9ohZG1CuGfPHo4fP57j/3k7OzsaNmyoSwibNm1KvXr1ZLgmj7SJ4rVr16hYESpUAPmbJkqy+Ph4Dhw4wL59+3QjF4ZG8mxsbHRJofbh7+9v1Hnr4tFKxizxAuDp6cmxY8ewsooGvLl+3dwRCZE38fHx7N27l507d7Jr1y727t1rcFuaGjVq0KJFC92jYcOGujnLIv+0ieKdO3fo0CGV69flZytKjrS0NI4cOcKePXt0SeHJkydz1LOyssLHx0f34VSbFDo4OJgh6pIhX4nizz//TJs2bWjcuHGJWwlUrVo1jh07RkaGuq+SJIrCEiiKwoULF3RJ4c6dOzl69GiO3sLSpUvTrFkzXVLYvHlzmcdjAjEX04g8piHqjC1RUXBkR7zuuXLlymFra0t6ejrXr1/H09PTjJEKUbAuX76sm8qyZ88ewsPDuXfvXo56NWrU0I1aNGvWjEaNGhXL7bGKsnwlij/++CMff/wxGo0GT09PGjdurPfQ7jdYHFWvXh2Au3cvAXDtmjmjEcKwzMxMIiMj2b59O9u2bWPHjh0GTzapUaMGrVq1onXr1rRq1QpfX18ZQs6jrCy4eCqVqF23OZfiwahR95/o149hK15ik9IpW+0HCwQ1Gg3u7u5cvnyZmJgYSRRFsZGamkp4eDi7du3SJYaGhpDLlStHixYtaNasmS451G4bJcwnX4mi2qOWwaFDh3RL0GfPnk10dDQajQYPD49iuzK4Ro0aANy5cx6QRFEUDWlpaRw4cIDt27ezfft2duzYQXx8vF4dGxsbGjdurEsKW7VqpdvySRgpJYUdf15i2+lKHL/sQlQURB3L5G6qPaB+UH7uOShbFnBwwF85wqUKjfFp40b9+lDRNY233n9wu0qVKnH58mWuXr1Kly7qySwbNshm/sKy3LhxQzdisXPnTg4cOJDj3GNra2saNmyoN52ldu3asvAtn7Ky4PJlOHjQdPfMc6Ko/Y9ZuXJlKleuTPfu3XXP3bx5k/DwcA4fPpzvAIsqbaJ47ZqaKMbHw717INMkRGFKTU1l3759bNmyha1bt7Jnzx7u3r2rV6dMmTK0atWKtm3b0rZtW5o1ayaTvI2gKBB9PoNjG68QuS+ZyEwffvoJSpcGhg3jj2UdmMkr2a6wxo5U6lmfwadPfZKTrdVE8dNP+XqKLd9ULQf3/xZevmynlyhm36P1yBGIjVWntUiiKIoqRVE4deoU27dv101pOXXqVI56FSpUoHXr1rRs2ZIWLVoQGBhI6dKlzRBx8bN2LSyZHsvxfYlEJVcjOd2085sLZNWzm5sbnTt3pnPnznm9fZFXs2ZNAC5ePIu9PaSmqo26l5d54xLFmzYx3Lp1K1u3bmXXrl055vWUL19elxS2bduWgICAEnO6iUlcucLmORf563AdImMrcOwYJCTYANV1VV5/HZo0ARo0oMOGAyTVPoZP/wb4+ICPD9QodRubKj6QvXekRg2e1FeSfY/WChUeJIpCFBWZmZlEREToprNs376d6wZ+SX18fGjdurXuUatWLektzIO0NDgTlc7x0+q85uPH4fiGS/zlOIJ6K6ZAs2YcPQq/bfRAO4phYwM1asDp06aJIc9/PdavX6+3AXdJo00Ur127xowZSVSoUEZ37JYQppKZmUl4eDhhYWGEhYWxa9euHD2GFStWpF27drRv356goCDq168vDfITpKbCiWOZRKw4Q8SeFCKsGvL9D1bUqwf88ANHvkxnNlN19W1sFOppTtHAKRrfEU2pUOF+2zd+PP0n2dA/xyvkbX62do/WK1euoN2i1sAWcUIUmvT0dPbv38+2bdvYtm0bO3fuJCEhQa+Ovb09zZs3p02bNrRu3ZoWLVpQTv4gGiUjA5SkZGztraBUKZYuhYnvJnP6oh0ZPHyOdDUib7tS7/hxaNaM4GD47P1EfG5uxyeoAjUHNOXuXTBVimZ0onj37l1u3bqVo7fw2LFjNGjQwDRRWYCyZcvi5ubGzZs3adXqDAEBAeYOSRQDiqJw4sQJwsLC2Lx5M1u3bs0xx7BChQq6xLBdu3aSGOZGTAy75p5gRlg9Im5U5sQJyMiwBurpqhw8iJooNm5M+7p/82GlHfi+3AZfX6hbV4OdbV3Q1NO/r4l7arU9itHR0bpEUeY/i8KUnp5OeHi4bjrLjh07SElJ0avj5ORE69ateeqpp2jbti1NmzaVrbJySVHg0pk0IrfdIjLOg8hIiIyEqIg0lmUNpMeiZ2HQIKysIOqiOjRfhkR8mpXBx0ejjlpwnOb134GnfAB1D+fAQCegm+51HupPyBejWrlly5YxevRoypcvT1ZWFrNnz6Z58+YADBkyhIOmnD1pAerWrcvu3bs5deqUJIoiz65du8bmzZvZuHEjmzZtyrEq2cXFhXbt2tGxY0c6dOiAj4+PJIYGZGTAqVNwaPlZDm9P4nCaN+99aEenTsDq1cSN/5dFrNLVd3WFhtaR+Dudw39YY1q1UnvzeOYZGj/zDI1zvELB/8yrVasGqImir69aJkPPoiBpRy2yJ4ZJSUl6ddzc3AgKCtIlhg0bNpRdEXLh9i0FzZXLuFa0A3d31q+HZ/plkphsR85RBzuO4UOPM2cACAqCdf9m0CDjCFWDaqEpm7398SmstwAYmSh+9tlnhIeH4+7uTnh4OMOGDWPcuHE8++yzJfKklnr16rF792727DmJjY064bxFC3NHJYq6e/fusXPnTjZu3MjGjRtzLPpycHCgdevWdOzYkY4dO9K4cWOZY2hIYiKnl0fwzZ9VOHTbi6NH1QVlUEtXpW0H1ESxcWOaBaxgivM6/N/vir8/VKkCGo0v4GumN5CTNlG8ePEiFSpkAVbSoyhMKvuoRVhYGFu2bMkxalGuXDnatWunezRo0AArKyszRVz0ZWTAqcMpRGy6RkRiDSIiICICoqM1TOMb3vy0AowfT6VKkJhsjS1p1Lc6hW+fuvg2tsPXF3zLx+JV6x1wV898L18euvSwAcx/5JtRf33S09N1m+4GBgaybds2+vTpw5kzZ0pkD0f9+vUBCAs7znffwfDhkigKw06fPs26detYt24d//33X455ho0aNaJz58506tSJ1q1byykD2cTHw6GwW4SvieXgzWp07VeGwYOB/ftJHzGKWRzX1S1TBho6nSPAJpKA/nV4aqC3+kRgIB6H1vGBed5CrlWtWhUrKytSU1MpU+Y6FSt6IAvURX5dvXqVzZs3s3nzZsLCwrh69are866urgQFBdG+fXvat2+Pr6+vJIaPcPuWQtrFGNxdU6GGmhQ2a6aQmuoI1MhRP1pTHW5dBtSFbsePQ23HOGyrNdBf7JbHec2FwahEsWLFikRERODv7w+onzo2bdrEsGHDiIiIKJAAizIfH7X79/Zt9Q/VQ//viRLs7t27bN26VZccnrk/nKBVqVIl3c4AwcHBuuPbBCScvsYv3yYRfrsWBw9qV+6Vu/8AKyfURLFRI+rWzGSc3QoCJvYmINCaWrXAyqomUNN8byAf7OzsqFKlCtHR0TRrdp5r14ruHw9RdN29e5ft27ezYcMGNm7cSGRkpN7z9vb2tGnThuDgYN2ohQwl61MUiL6QyeG1Vzl0rTKHj1pz+DBcuKDhdZbx/bCDMH8+NWtCaqqGMpok/G2O4x9aC//2bvj5gV/NZFzKjwI7OwBsbcHbG8Cy9rsyKlFcuHBhjiEwOzs7/vzzT0bpjh8oObSLd2JjTwAZXL4sw4Ml2cWLF1mzZg2rV69my5YtetvW2Nra0qZNG7p27UqXLl3w9fUtkb3w2SUlwcEt8ezbD+VrujB8OBAdjU3denxAIlnZ6lZ3vUPjzP0Etnch6KVmamHZsticPcnnZoi9INWsWZPo6GjOnz9Py5YtzR2OsACKohAZGcnGjRvZsGED27ZtIzU1Vfe8RqMhMDCQTp060bFjR1q1aiV7qWaTmQnx1+5RLvMGeHoSHw81a8KtW9ZAzhOSYqgMydsBdRTj4kWo6pyFlWuzh2oWj30ijcpstFs3GNK6det8B2NpvLy8KF26NMnJycApLl8u3AmmwrwyMzPZu3cvq1evZvXq1Rw9elTv+apVq9KtWze6du1Kx44dcXJyMlOk5qcocHDXXfYdcWD/AQ3798PxY1lkKer+DS1aqFM3qFoVR3dnXk9fhPvz3QnsVI7GjaG8mwtoOj32NYqLWrVq8d9//+XohRYiu8TERDZv3qwbtbh8+bLe81WrVqVz586EhITQsWNH3NzczBRp0ZKZCSci0gg/COERdhw8CIcOZPBU6hbWtvwMdu7ExQXs7cFGk4EPUTRq50JAr2oEBEDD+qmUde0BDv1091SnFjub6y0VuHx3gU2YMIFPPvnEFLFYHCsrK/z9/dm9ezdwhIQEHxISwLn4/r6UeMnJyWzYsIF//vmHNWvWcPPmTd1zVlZWtG7dmh49etCtWzcaNGhQInsNFQXOnYPoaGjXTi3QtGxJ773LuEL2D5tWVCWappWv0vYZdfcENBq4dIlp94dqHig5P8fatWsDcObMGTp3Vo/j+r//Aw8ZhS7RFEUhKiqKtWvXsnbtWnbs2EF6errueQcHB9q1a0dISAidO3fG29u7RLY/2SkKaLIy4f6weteusG1TKimZD2/lY8MJ6qnzxxQFNBq2b4eqpeKxd/fRXa8qedsA5TtRXLp0KfXq1eO5557TK1+xYgWTJk0q9nMXAwIC2L17N/b2h0hNHUR0NJSg7SRLhNjYWP7991/++ecfNm/erDek4+rqSteuXenRowddunQpkZvMJiTA/v2wZw/sWXebPfs0xKW7UrGierKIRqMBjYbObOSKfzea9fKgaVNo2iCFSuXKQNnm+jfMkSSWLNpE8dSpU1y6BDEx6pnPkiiWPKmpqWzbto1///2X1atXc/78eb3na9euTdeuXenWrRtBQUElejhZUeDCBbUt2r8f9m27S0rkefa7dVHHhjUaUlIgJdOeMiTSqNpNGvfxUvcgDMikXmlrqHFOt8CkVi0A6YUFEySK//77L+3atcPLy4vWrVuzatUqJk2axJEjR+jbt68pYizSGjdWd1uzsQknNRUuXZJEsTg4d+4cK1asYMWKFezZs0dv+6eaNWvSu3dvevfuTevWrUvU1jX3P2yrlixh+IeV+e1cGxRFW1gWADtSqVXLjvh4Da6uwC+/MNfNDapkz3Yc7z9EdvXqqZt6nzx5kpo1FWJiNFy9qm6qK4q/Gzdu6OY6b9iwQW9PQ3t7e9q1a6eb0lKnTh0zRlo0/PIL/PPzVfYfdyQu3TXbM6UAH+JT4nG5ehWqVOG778Dx9hXq1MjAukb1bAMV1mQ/olPoy/dfuNq1a7N48WIGDBhApUqVOHjwIP369eO3337D19c0+5PNmDGDr7/+mtjYWBo2bMgPP/xAs2YPTxp9YOnSpXz00UdcuHCBOnXq8OWXX9Kt24MdyydNmsTixYuJjo7Gzs6OwMBAPv/8c93m4cZo2rQpAIpygCVLsmjcWLYUsESKonDs2DFdcnjkyBG955s2bapLDkvSkPLdu7B/Vzo7/7zErr1W7L1WgzNn7k+vWLWKimcbotAWLy91nmGLJhm0vLGKhk/Xxr6J34OG+P5OCeLJ6tSpg0aj4c6dO5Qvfx1w58oVc0clCtLZs2f5559/WLlyJTt37iQr68FSLnd3d3r06EHPnj3p2LEjZcqUMWOk5pGWBkeOwJ5dWRxYeJw5nh9js3AelCnD3r2w7oi6ithWk07DQFt1xKIpNEvbgVPwYXWTY0Dt16litvdhqfKdKO7evZvGjRvz1VdfMWLECHbs2GHSlXpLlixhzJgxzJw5k+bNmzNt2jRCQkI4efKkwS1Fdu3axaBBg5gyZQo9evRg0aJFhIaGcvDgQV3iWrduXX788Udq1qzJ3bt3+e677+jcuTNnzpyhQoUKRsXXoEEDHB0dSUlJwNf3BO7usqDFUiiKwpEjR1i6dCnLli3j1KlTuuesra1p164dffv2pXfv3rqj1UqC/eviWLzclp2RLhw8COnptmTfxHrPHujcGRgwgLcqnmBM50N4dG10/1kboPiPJBSkUqVKUbNmTc6ePYu9/TEkUSx+FEXh4MGDrFy5kpUrV+bYviYgIICePXvSs2dPAgMDS9yehrGxsH11PHtWXGXP2fKEX6yAOuPHCvDlzfCzND5wANq1Y/BgaFzlGs2y9uDfry4Ojbyz3amNed5AcaPkk0ajUaytrZW6desqTk5OSocOHZTVq1cr0dHR+b21oiiK0qxZM+W1117TfZ+ZmalUrlxZmTJlisH6zzzzjNK9e3e9subNmysvvfTSI18jPj5eAZTNmzc/9vn4+HiDzwcFBSmAMnv27Ce9HYNSU1OVSZMmKZMmTVJSU1PzdA+RO1lZWUp4eLjywQcfKLVr11YA3cPe3l7p2bOnMm/ePCUuLs7coRaKixeylN8XZimXLt0v+PJL5SdeVtRBZvXh4aEoT1f4T/m20QJl78qrivyKmk50dLTBtqV3794KoPTo8b0CijJ8eN7uL21L0ZGZmans2LFDeeutt5Tq1avrtT3W1tZKhw4dlOnTpysXLlwwd6iFKj1dUfbvTFXubNyrKNevK4qiKJ99pui1QaAo5copSrduivJJyA7l4tifFaWE/ZyM9aS8xRj57lG8ffs2ERERHDlyRPfo378/9+7do2zZsnqrQo2VlpZGeHg4Y8eO1ZVZWVkRHBx8f6VxTrt372bMmDF6ZSEhIaxcufKRrzFr1ixcXFxo2LDhY+NJSEjQ+97e3h57e3tat27Nf//9xx9/bMfR8QWefTYXb04UGuX+HmNLlixh8eLFnD17Vvecg4MD3bp1o1+/fvTo0aNYb2GjKOpZyNu2wfbtsG3lTS4mqpO1Z86El14C/P1pzzxerr6O1p91pXVr8PICjeYp4Clzhl8spKam6i2GSkxMBHK2LfXr1+eff/4hMVFdDPjQzifCQmRkZPDff/+xfPly/v77b2JjY3XPOTo60rVrV0JDQ+nWrVuJWQgXHw+7t9xjZ7gDO3fC3r2QkmLHUr6i35xu8PzztG4NjXzTaXn9H1o0TqPF9EHUrqO5Pz+69f2HyO7htuXhNiU/8p0ouri40LZtW9q2basry8rK4uTJk/le8RwXF0dmZqbu2EAtd3d3Tpw4YfCa2NhYg/Wz/w8KsHr1agYOHEhKSgqVKlVi06ZNlC9f/rHxeHrqb7w5ceJEJk2axFNPPcXkyZPZunUrx48rPPtsyZi/VtSdOnWKxYsXs2TJEo4ff3DMW6lSpejWrRv9+/ene/fuxX/Oz61bHPx2Kz2+70RMYvZE2A1rMgisHoeT0/1FJu3bU//OHn52cTFLqMXdlClT+Pjjj3OUP9y29O/fH4DY2COULy9bblkSbXK4dOlSVqxYwY0bN3TPubi40LNnT55++mlCQkJK1CrlffvghWFpRJ6wQUH/iFJX+7vctKkOKSmAuq3WwaO2QL+cNxIGPaptMQWTLtf87rvveOutt4iKiqJ+/fp4e3s/+SIzad++PYcPHyYuLo7Zs2fzzDPPsHfv3scepRYdHY1zthbb3l7dT0m78jUj4xLXr58jJaUWjrKY0yyuXLnC4sWLWbRoEQcPHtSV29nZ0bVrVwYOHEiPHj2KbXJ4/jxsWXaTLbsdaNSmNGPGANeuUevzEVzjFvb2Ci1aaGjbFp5yjaBl3ZuU6dDswQEC9vbqQxSIsWPH6o14XLlyBR8fnxxty+XLl1m6dCkXLkSQmJiOra2tOcIVuZSZmcm2bdtYsmRJjuTQzc2NPn368PTTT9OhQwfsivH2T9otarZtg21/xfBUwhqGDUyF116jYkU4ekJ97zU5S+tebrTu5krr1uBTA6wcv3no7GNhjIfbloSEhBwfQPPKpIliQEAAAOPGjePkyZM4ODjQoEED/Pz88PX1pUePHkbdr3z58lhbW3Pt2jW98mvXruHxiE3FPDw8clW/dOnS1K5dm9q1a9OiRQvq1KnDnDlz9Ia5H+bs7KzXmGuVKVOGFi1asGPHDmAT587VwkQLvkUu3L59m2XLlrFo0SL+++8/3VY21tbWdO7cmQEDBhAaGopLMewlu3FD3Yx582b1ceECaPf+OhuLmijWr49L7/bsqTAHv88G4OCu/TnISuTCpp2uoqUdHnq4bfH29sbFxYX4+HgiIyNp1KhRjnsJ81IUhT179rB48WL++usvvVErNzc3+vbtS//+/Wnfvn2x3UJLUeDsWdiy+Bpb/01k2+WaXL6qXXhTiTgqMMxmGrz2GtWrwz//QDNlLx4ta0BF12x3Kjk9qwXl4bbFlEz629u+fXsA/vnnHwCSkpI4duwYR48eZfPmzUYnitqta8LCwggNDQXUYe2wsLBHni3dsmVLwsLCGD16tK5s06ZNT1yJnZWVpTe+b6yQkJD7ieI6zpx5WRLFApaamsratWv5/fffWb16NWlpabrn2rRpw7PPPku/fv2MXsVe1GVqDxlQFLI+moj3l2O4meGqe97GOotmmbtp73eT4Mm91EKNBlaupKlZIhZ5odFoaNq0KZs3b2bfvn2SKBYhERERLFq0iMWLF3Px4kVdedmyZenbty8DBgygXbt2xbYXOCEBnJV4cHHh3j113+C0NHdAnfJlYwNNmsBT/nfolHADRn4IqM1Qr14Axm9DJ8wrT4liy5YtadSoEQEBAQQEBODv74+Dg0OOemXKlKF58+Z52p9Qa8yYMQwbNowmTZrQrFkzpk2bRnJyMiNGjABg6NChVKlShSlTpgDw5ptvEhQUxNSpU+nevTuLFy/mwIEDzJo1C1CPYPv888/p1asXlSpVIi4ujhkzZnDlyhXdvKC86N69Ox999BGwmePH7xIaKp+QTE1RFHbt2sXChQv566+/uH37tu45X19fBg8ezMCBA6levfhsnKoocOSwwobfb7BhszXRKW6cOqUmElYb1tE+w4+TVYPp9ExZgoOhbeA9ytj7QjHsPS1pWrRowebNm/n++91MnfoSX38NvXubO6qS6dKlSyxatIg//vhDbyubMmXK0Lt3bwYNGkSnTp2K5bBybCyEhakjF1s2puF8/QyHq/aEs2cpVQqeegruHT9He5vttHvFm+avN6N0aQBX4AXzBi9MIk+JYvfu3YmIiGDq1KmcPXsWjUZDnTp1dImj9vG4+X65NWDAAG7cuMGECROIjY0lICCA9evX6xasXLp0SW+PqVatWrFo0SLGjx/PuHHjqFOnDitXrtTtoWhtbc2JEydYsGABcXFxuLm50bRpU7Zv306DfBypEhAQgLOzJwkJ0fz33ybGjeuVvzcudM6fP89vv/3GwoUL9VYsV65cmeeee47BgwfjX4w2dI6Lg02bYP162LgRYmM1wIP/l86cgTp1gPfeY1HiPWx7pGd7WibHFhetW6srOy9d2kFSEpw+beaASpg7d+6wdOlSFi5cyPbt23XldnZ2dO/enWeffZZu3brhWAwnpG/ZAv/OjmXzJoWjcZWyPWOHLbVJuHAL55gYqFSJjRtBo6kJ1DRXuKKA5SlRHD9+vO7rffv2ERoaiq+vLxqNhvnz53PixAk0Gg3u7u5cvXo130GOGjXqkUPNW7duzVHWv3//R/YOOjg4sGLFinzH9DCNRkPLln3ZsGE6hw//BUiimB+JiYksXbqU+fPn6zXSpUuXpl+/fgwZMoR27dphrXdYu2XSHsJgZQWsWMEnb8APVx5sWu3oqNA+YzNdap6i07xnqV1bPSaP/v0pnoNbAtSRGysrK5KSzgJXOH++5Gz6bi7p6emsX7+ehQsXsmrVKt10JI1GQ1BQEM899xxPP/00ZcuWNXOkppOZCQf2ZdHM7jAafz+wtWXOHPjjT3Vev4YsGjW2okMH6NAB2lgdwKnlRd1SfFl/Uvzle47iK6+8wowZM+jTp4+ubO3atfzvf/9j2LBh+b29RXn11QFs2DCdxMSVJCcnU7p06SdfJHSysrLYunUr8+fPZ/ny5aTc3ypBo9EQHBzM0KFD6dOnT7H4ud65Axv+TWPtguusi6jC0qUagoKAmBi6XFnDf6X9CXm1Nl26QOvWGuyt24NNJ3OHLQqRi4sLjRo1Ijw8HNjCuXODzR1SsaQoCocPH2b+/PksWrSIuLg43XMNGjRgyJAhPPvssyZbQVoUXLkCGzaoj02bFG7ftiKCYfht/xnatKFfP3C8G0fwraV0GFGd8kO7Zbu6ldniFuaR70QxKipKt9pZq1u3bvz000989913+b29RenZswU1a9bk3LlzrFixgiFDhpg7JItw7tw55s+fz4IFC7h06ZKuvF69egwfPpzBgwdTtWpVM0ZoGidOwKpVsHo17NoFmZl2gPq+1q9HTRR79aKbotCtC1A7+9XFc9WkeLzg4OD7ieJGzp6VRNGUrl27xh9//MH8+fM5evSorrxixYo8++yzDB06lICAgGJzrvvJk/Dr9GTWL08i8nr2vYY1uNomcd7aB78LF6BNG0JDITS0PPCKeYIVRUq+//o0bdqUBQsWMGnSJL1yPz8/9u3bl9/bWxSNRsOIESP46KOPmDVrliSKj5GcnMzy5cuZN2+e3vQBFxcXBg0axPDhw2nWrFnxaKRv3eLQxJU0/vF5vWLvsjF0T/+H7m/WpvXEYLXQ0xMeMc1ClDwhISF8+eWXwAbOncsiI8OKYrrTSqFIT09nzZo1zJs3jzVr1pCZmQmo8w579+7NsGHDCAkJKRbb2Vy9CsrtO1RxTYYqVbh0Cb75uTRQGg1ZNAvMJKS7LV26QFOvu9i4LYRiuBhH5F++/2/49ttv6dChAxcvXuStt97C19eXtLQ0pk6d+sSTToqjJk1GYmX1MTt27ODw4cM5eltLMkVR2Lt3L3PnzmXx4sW648u0Q8sjRowgNDTUok8rSE6GDesy+WdZBhWq2vPNN2p5w59ewov21GvrTo9nHOneHWpUdAbHl2SSj3ik1q1b4+zsTELCdTIz93HxYgtq1TJ3VJbn+PHjzJ07l4ULF3L9+nVdefPmzRk2bBgDBgyw+CP0srJg/35Ys0YdtTh0CN7WzOWbF07ArFm0bQvPPw+dYn+jU4g1biN6gZN2lnPx2kZMmFa+E8XAwED27t3LqFGjCAgIwNbWlqysLGxsbJgzZ44pYrQomzZVIiurH7CYb775ht9//93cIZndtWvXWLhwIXPnziUqKkpXXrNmTYYPH86wYcOoVq2aGSPMnzt31IZ5xQpYvyaDu2k2gDUVKsCXX4J1uXJYvf8upzw3YzuoP7hqV0la/lxLUbC0JwotWbIED48VJCe3MHdIFiMxMZHFixczZ84c9u7dqyt3d3dn6NChjBgxokifHpYbmZlqYvjPL7Gs3lqa6ykPjujUaBSuKh5wfh0ADg6g/kkeap5ghcUySf96/fr12bx5M5cuXeLw4cNYWVkRGBhIpUqVnnxxMePnB/AusJg///yTiRMnUqdOHTNHVfgyMjJYt24dc+fOZfXq1WRkZADqOcv9+vXj+eef56mnntLb2sjipKbycmgsczZXIyND2ytoQw3OEVomjN5LRqLR3H9/kyfLCmWRJ/369WPJkiXY2/+Fn9+XgPRAP4qiKOzevZtff/2VJUuW6BbE2djY0L17d0aOHEmXLl0sejPslBRwtMsAGxs0Gnj5ZYiJUVcoOzukEtLTnu7doWuHNCqmt4Caz5o5YmHp8pwoTpgwgd69exMYGKgrq1atmkX3DJmCup1fY2xtu5OevoaPPvqIxYsXmzusQnPy5Enmzp3Lb7/9pnekVfPmzXn++ecZMGCAxR6ld+0a/P03jBhx/zjkoUNxXd+IDD7A1xf69IG+fRQa3jyPJmg42FpwEiyKjO7du1OmTBkuXrzIjh07aNu2rblDKnJu3LjBwoUL+fXXX/VGLerVq8fIkSMZOnSobu9dS3TunNr2rPgrg3NHErjs6of1xXNY2dvz4otwe+dxelv/y1MftMa2fZv7V9kjexsKU8hzonj58mW6du2KnZ0dPXv2pFevXnTs2LFY7kxvDB8f9Qij9PTP0GjWsmTJEt544w1atSq+WwokJCTw119/MW/ePHbt2qUrr1ChAkOGDOH555/P12bm5nTtGqxYrrB01m3+i3AlS7HC0xO6dwd69GDU1mk8P9SNul+/eP8KDdDRjBGL4qZUqVI888wzzJ07lzlz5kqieJ/2ONfZs2ezcuVK0tPTAXB0dGTAgAGMHDmSVq1aWeSCOEWBqChYvjCZFX9rOHxSO13FBijH0WsVCNi2DTp14uOPAXzuP4QwvTwninPnziUrK4udO3fy77//Mnr0aGJiYujUqRO9e/emR48eFj85OC8cHMDbG44eDaBjx+fZvHkOL7/8MgcOHChWSXRWVhbbtm1j3rx5LFu2TDfEY2VlRbdu3Rg5ciTdunWzyPeckADLlsGff6rHVmVlaQD1d7lpzZtYWbmpFQcOpOpzz93fKVuIgtOt2wvMnTuXBQsWM3XqN7i5uZk7JLO5cuUK8+bNY86cOVy4cEFX3qRJE1588UUGDhyI8/3NoC3VF1/AuHGgncdsZQXt2kHfvtC79GaqBsyHhg3NGKEoSfI1R9HKyoq2bdvStm1bvvrqK6Kiovj333/55ZdfePHFF2nevDm9evVi0KBBVKlSck4VCAyEo0ehYcMvOHz4H44ePcrHH3/M559/bu7Q8u3cuXP89ttvLFiwQK+RrlevHs8//zxDhgyx7Lmpt25x8b2FjJzzpq6oaVPoX/E/+jlvpMb7z0DD+3+kLXiek7AsXbq0ABoBh5g6dSaTJ39o7pAKlXbO8+zZs1mzZg1Z948zcnV1ZfDgwbzwwgs0tMDESVEgMhKW/naXLtabaNWjHLRpQ7t2YGen0Cl9LX2r7qfXtnco71Xm/lXB5gxZlEAm3SzK29sbb29v3nvvPW7cuMGqVatYtWoVAO+8844pX6pIa9IE5s+HqKjy/Pzzz/Tv358pU6bQtm1bunTpYu7wjKY98/S3335jx44dunJnZ2cGDhzI8OHDadGihcUN8WRmqj2Gvy/MopSjFTNnAnZ2+P05jqepQuNXmjPgbc/725EE3X8IUfhKl9ZQocLb3LgxmJ9+msaHH44uFicUPcm5c+eYO3cu8+bN0zsOtm3btrz44ov069fPIrfTOnECFi+Gv/5Sh5ihFLHE0urCImjThubN4cYNDc7JjaFSd3OHK0q4AtlV9PPPP8ff35+OHTsycuTIgniJIu3pp9VeKH9/cHDox0svvcQvv/zCwIED2b59O37q0ugiLTU1lXXr1vH777+zevVqvTNPg4ODGT58OKGhoTg6Oj7hTkWLosCRI7BwIfz5WzoxcbaAFY6O8M03UKZMGfjsM5ZVyYKe5cHy/gaJYqplywGsWjWR+PizTJ8+nXHq2GSxc+/ePVauXMmvv/5KWFiYrrx8+fIMGzaMF154gfr165sxwrxJS4Pvv4dFM+M5dPbBgj47O+ja8jZdL0RB8+aAOtTs7Aw4W/DojCg2CiRRrFSpEmFhYXz33XdcuXKF3r17M3ny5GKx231ueHioD63p06dz7NgxduzYQefOnQkLC8PHp+hNPM7IyGDLli0sXryYFStWcOfOHd1zDRo0YOjQoTz33HMWO43gtwUKX3+tEHlMO6fQlnLcZIBmKUNWPEvp0vfnNb31ltliFOJRGjWyYdWqj4HBTJkyhREjRlj2NI+HHD16lDlz5rBw4UJu3boFqB9MO3XqxAsvvEDv3r0tbs5zWtqDw05sbeHnn+HcORdsSCek9jkGTKhHr17g4lIWKFlH3grLUSCZW/Xq1enZsycVKlQgKyuLb775hs8++yzHMX8lhb29PatWraJdu3ZERETQtm1bVqxYQVCQ+Ycy09PT2bJlC8uWLePvv/8mLi5O91zlypV59tlnGTx4MP7+/hY3tJyaqn4yt7UFVq7k8jvniYx7C3t76NkThgyBLheXYdc1GGpb9uR3UfypU/AG4ej4A0lJe3nzzTf566+/zB1Wvty5c4c///yTuXPncuDAAV151apVef755xkxYgReXl7mCzAPUlNh7VpYuCCT3WEpXKgWhP2e/9A4OTF+PKQdiODpzL8o/+oz4G/uaIV4sgJJFJcsWcKHH37IzZs3qVmzJg0aNODff/+lb9++eHt7W/Rmp7kVHg6zZkGVKjBhApQtW5b/+7//o1u3buzbt4+OHTvyySef8N577xV6bPHx8WzcuJF//vmH1atXEx8fr3vOzc2N/v37M3DgQNq2bWuRG2IfOQJzf83i90UafvpJw4ABgLU1Q+Om4uYWxzOnPqNsOW3S+5I5QxUi19Qta61ITf0Za+umLF26lD/++IPnnnvO3KEZJTMzk82bNzN//nz+/vtv3bQWW1tbevXqxQsvvECnTp2wtrY2c6S5pyiwd686arHkLw1qh6g14MTW4xUIWbkShgxhxAhghD+SIQqLohSApKQkRVEUJSsrSzlz5oyydOlSpVy5ckqfPn0Ub2/vgnjJAhUfH68ASnx8fK6vWbNGUUBRatXSL09OTlaeffZZBVAAxd/fX1m3bp0yadIkZdKkSUpqaqqJo1eUjIwM5cCBA8oXX3yhtGvXTrGxsdG9PqBUrFhReemll5RNmzYp6enpJn/9wnD7tqL89JOiBAaqP3ft49ln71dIT1eUefMUJSHBjFEKoS86OjrXbUtWlqK0bq0oQ4YoyrvvTlIApXTp0kpERMQjr0lNTS3QtsUYERERyrvvvqtUrlxZr/3x9fVVvvvuO+X69etmjS+vtm5VlPq10/XancqVFeWddxTlyBdrFeX33xXl/t9EIQpLXvKWRymQHsXmzZuTlZVFgwYNqFu3LseOHWPAgAH89NNPBfFyRVKbNuqw59mzEB0Nnp5quaOjI7///judO3fmrbfeIiIigl69evHhh+p2F/Hx8VSokL8D2lNSUggPD2fPnj1s376dHTt2cPv2bb069erVo0ePHvTp04cWLVpY1Kf37NLS4MWRWSxdruHuXbWX0NY6k96ZKxjZ+DCdfru/JZGNDQwfbr5AhcgnjQa0mw5kZo7n4MHthIWF0a1bN3bu3FkkT8WKjo7mzz//ZNGiRRw5ckRXXq5cOZ577jmGDx9Oo0aNLGpaS2oq3L4NHhWzwMqKihXhxBkbSpHC0yxn6PdN6fBqfdQmtau5wxUi3/KcKP7vf//j22+/VVeJPiQyMpLU1FSioqI4deoUgYGB9OjRI1+BWhpnZ3WbnH37YNMmeP75B89pNBqGDRtG9+7d+fTTT5k3b57uOS8vL5o2bUrbtm0JCAigdu3aVKlShbJly+qSOUVRSExM5ObNm1y5coVLly5x+vRpTpw4QUREBCdPniQzM1MvHicnJ9q3b09wcDDdunWjlrrni0W6d0/d2BzA7oepnPnrKe6mNaVBAxg5EgZ3vUOFI1kQOkEd/RGimLG2tmbJkiW0adOGEydOEBQUxMaNG4vEufIxMTEsW7aMv/76S287LVtbW3r06MHQoUMtcjP+48fh11/ht3kZBJfezeKm38Lff+PtDcuXQ/D1lTj714KW9eQ4blGsaBRFUfJyobW1NTExMVSsWNHUMRU5CQkJuLi4EB8fb9SO/xMmwKefwjPPwJIlj653+fJl5syZA6hbC2mPonqYra0tGo2GtLS0J752pUqVaNasGW3atOGpp56iUaNGFj03VDsH6OefYdUqOHMG3NyAl15ix6xjWHfvSot/P8SCOiaE4PLly3h6ehrVtmRmwrFj6vZbly9fpn379pw5c4Zy5crx+++/07Xrg16stLQ0pkyZAsDYsWMLLDk7d+4cK1euZPny5ezevZvsf1aCgoJ49tln6devn8Wd1pWcrO51OHu2wu7dDxqXWpzhhMYHm9jLUAL+BgrLk9e8xZA89yjmMb8sUbp0URPFTZsgI0Md/TQke7J95MgRtm3bxr59+zh69Cjnzp3j5s2bADkSSAcHBypXrkzVqlWpU6cOdevWxc/Pj4YNG1K5cuUCe1+FKSkJ/vgDfv5Z4ciRBw31qlWoE8NHj6ZN0CF180pJEkUxl5oKlSvDrVvqlJaqVauyY8cOevXqxb59+3THZ06ZMiXfU1geH0cqO3bsYMOGDaxevZoodddonRYtWjBgwAD69etH1apVCyyOgvTFFzDls0wSkq0BDdbW6m4JL7wAIafXY9PpkCSJokQoGRsbmkmzZmqv182bsH07tG//5Gtq1aqFt7c3L730YDVueno6d+7cIS0tjaysLOzs7HB2drbIEwlyKyYGJk+GBQsgMRFAg4NVKgOy/uTl4fdoPvxltaK3t/oQogSwt4caNdREcds2ePZZcHd357///uO9997jhx9+YM6cOSxZsoSXX36ZF154wSSve/fuXQ4cOMCOHTvYsmULO3fu1J3vDmBjY0Pbtm3p27cvoaGhFpkc3r0L1tYP9j20sYGEZGtqcYYXSi1iWNQHVKqu7ZEdZbY4hShseU4UNRqNRU1ANgcbG/UT6M6d2mQnb2xtbQu0d6DIURQ0u3fzy0/NSM+yoU4dePllGF59F+Wi76iLUuRXT5RQQUHq9ltbtqiJIqijC99//z3PPPMMo0ePJjw8nG+++Ybp06frFspt3LiRgIAAqlSp8si2+969e1y6dIlz584RFRVFZGQkBw8e5NixYzlGNDw8PAgJCaFr166EhITg6upakG+7wJw5AzNnwtzZmXzf5DcGD7fRbWUT4JdJhy1zsXpuEFS3rDmVQphKvoaehw8fjr29/WPrrVixIq8vUSz89JO68EJy6keLi1MniUdFqT2IZGbi8eYAvszqh+87Xej4ZQjqdo7t7z+EKLmCg+Hbb9UpLYqi37a0adOG/fv3s2bNGn788Ue2bt2qe65v376kp6djZ2dHxYoVcXJywtbWlszMTJKTk7l9+7benqoP8/DwoFWrVrRr14527drh6+trsZ0FmZnqptgzZsCGDdpSa1b9X2kG35wMgwfj5qYhOMQaQiabM1QhzC7PieKwYcNMGYdlOH9enUVesya0aJGrS4rx6HC+HToEP/wAixYppKaqf3Deew8aNLCBd9/lragoeLEGWN6e30IUmKeeUodHL16E06ehbl395zUaDT169KBHjx5ER0czd+5cAOrUqcPJkydJS0vj8uXLj7y/o6MjNWrUoH79+vj4+NCoUSMaN25MtWrVLDYx1FIU9Uz3n37M4sIltWHRaKBrV3h1aCJdlv8Nr8hRekJkl+dEMfuWLiXGggXw3Xfw0ku5ThS17t1TTwy5f+Z7iZWRAf/8A9Onq/M2VRoCOcDrH7pQq9b97T3eeMNcIQpRpJUure7T+n//B2vW5EwUs3N3d9d9fejQITQaDVevXuX69eskJiaSmZmJRqOhTJkyuLq64u7ujqurq8UnhI+i0ag/swuXrCjHTUbW3cHL63pTsyaAEwz409whClHkyGIWYwQGQuvWj2+ZDbhwARo3VjeHjokBJ6eCCc8SLF36YF6VjQ306wdvJE2mRfRSNJ2mgYP594EToqjr2VNNFP/9F956K/fX2draUr16dapXr15wwRURmZnq7gg//wx/jAmnQqOq4O7ORx/BkA5XePbPnpR6+1Woae5IhSjaJFE0Rs+ekIdzVatXB3d3OHECfvsNXnutAGIrok6cUJPj9u2BxET6zgjFVzOd0Deq8/K7TlSpAqSMhlJjZSKnELnUuzfExqp7tAp98fEwZ446reXCBbXsl01/M36cAp9/TseOQMcq8FG4tDlC5ILM/ioEGs2D5PD77yEry7zxFDRFUSeId+2q7lzz4ov337OTE/akEmHdmE9br1eTRABHR2mwhTBCjRrqPn+NG5s7kqLj7Fl4802oWlXh7bfVJLFcOfig70mG2SxS97/JTtocIXJFehTzIitL3e/GxSXXlwwfDuPHw6lT8Pff6v7QxU1KCixcqM4/1O6/qyELvwZw+7aVepLKzJloypblQZYohBD5k5ionlSjbu2owafKHUZPdOW558DRvjZc26HuVC6EMJr0KBpr2TJ1N/7shzfnQpky8Prr6teffFL8ehUXLYKqVdX9DqOiwMlJYbTjLM5Qm7+f/l1NEgF8fSVJFMJEwsLU2TDnz5s7ksKVnq5uD6Tl5ASDBkGXumfZQGciGwzkxRfVwQqsrSVJFCIfJFE0VtWq6lEr4eHqGKsR3noLnJ0hIkI9ls6SKYp6nJiWp2Mct2+rOwdNnw6XL2v4boYdNWe+LxOphCggX3yhfki7f1R8sRcfr25vU6sWdO4Mhwd+obbFwC+/wLq9bnSeOwjNv6vMHKkQxYckisZq2hT++0/dwMzIOS7lysHYserXp04VQGyFIDVVXZDTtKm65yEACQm0GVyDTQRzasFu3nhDTYgZPlzdSsjBwYwRC1F8/e9/6r+zZ+t/cCtuLlxQP2hXrQrvvquec13RIZ6LS3bDlCmA2nGIq6t6CLydnKIihKlIomgsa2t1x1tb2zxdPno07NgBn35q2rAK2uXL6hxLT08YNkz9EL94sToEhLMzmmf6E9z6HtZ21uYOVYgSIzRUnclx/brlj1IYcuMGDBig9iBOmwZJSdCggdqDenHnFXp3TIZXXjF3mEIUa7KYJb8ePkPrCRwc1K0YLcWOHepQ8t9/q/uSAVRxiOPVjB/43/+9iq3t/Q19tWcVCiEKja2t+uHz3XfVYehhw+73rBUTLi5qG5SVBZ3YyNvPxtL596H3m1wf2LzZ3CEKUexJj2JezZ8PTZrA+vV5vsWFC9CjR9GeiL56tbp+JzMTgoJg6V8K5/1DGZf5KeUPbnxQUZJEIczi5ZfVaS2nT98/K91CJSaqex8GB9//UKoo2Nmpw+pHpm5mo6YLIWV2yq42QhQyi0gUZ8yYgZeXFw4ODjRv3px9+/Y9tv7SpUupX78+Dg4O+Pn5sXbtWt1z6enpvP/++/j5+VG6dGkqV67M0KFDuXr1qnFBHT6sjr/mYxb5iy+qx0n17ZvnW5hMVpY69XLIENi48UHhS7U283KNDUSEp7N1K/Trr8H2p+nqmddDhpgzZCEE6o4K48apX3/0kTo8a0kuXIB33lGntbzxhrqSe2Wjj+GvvwDo1g38R3eAkyfVFStCiEJV5BPFJUuWMGbMGCZOnMjBgwdp2LAhISEhXL9+3WD9Xbt2MWjQIEaOHMmhQ4cIDQ0lNDSUyMhIAFJSUjh48CAfffQRBw8eZMWKFZw8eZJevXoZF9hrr8HXX6sfd/NowQK1cTx9Os+3yLcLF9T5knXqQLt28Pvv6pFXAKSlUeOjwfx8vgt+Rxc9uCgwUN1JWwhRJLz2mrrA7LPP1LOgizpFUc96799fnX84daq6orluXfipx1q6HP1KHUvX7ixhZaU2UkKIQqdRFCP3eClkzZs3p2nTpvz4448AZGVl4enpyeuvv84HH3yQo/6AAQNITk5m9erVurIWLVoQEBDAzJkzDb7G/v37adasGRcvXqRatWo5nk9ISMDFxYX4+HicnZ1N9M5Up09Dp05pjBihrtxr124sQUEFu2JPUWDmTHXy+86dD8qdnBQGNL/A/ybXoGnT+4UzZsClS+qSQw+PAo1LiJLm8uXLeHp6mqRtMTRdOi0tjSn3VwWPHTsWuyKyGvjwYWjU6MH3wS2TGf1habp2BauEOzBhArz9tnr+qRDCaKbMW4p0j2JaWhrh4eEEBwfryqysrAgODmb37t0Gr9m9e7defYCQkJBH1geIj49Ho9Hg6ur62HgSEhL0HqnZ96NITn7yGzKgTh39jWNDQtScLC0tT7d7pOwj6xqNOmK+c6f6dceO8NucNGJL12b25po0VbIN7b/2Gnz5pSSJQphAamqqXhuSmJgIZGtb7tzJ2bbkUvYk8fJl9SzoouLsWXWus1ZAgHr++4uN9hOBH5uqjqB7d7XjEFdX9axTSRKFyLWH25aEhAST3btIJ4pxcXFkZmbi7u6uV+7u7k7sI1rB2NhYo+rfu3eP999/n0GDBj0x6/b09MTFxUX3mDJlitoi9+mjtnoZGUa8uweyt4dZWeqG3HncfUfnyhW1YX7lFXU4p3p1yP57M3o0fPNJCtHR6sLBIc/b4di5jVrx1q38vbgQwqApU6botSE+Pj4AvObpyVkXF2aVLfugbcmj8HB1GDo0NM+fX00iLU1tgzp1gtq11RXZd24ruk/BYWEwa4EDfqXOqhskFu3BLSGKtIfbFk9PT5Pdu0Rvj5Oens4zzzyDoij8rJuY92jR0dF6yaS9vb2aVG3Zoh4yGh4OzZvnK6aVK6FatQe9A6dPq3noU0+pZ5nWrAkVKjxYZOzpqU5mB3WF8syZcOSImr9mZ2Ojhte+PZCSwuB/hsHatfC/c8D9xHraNPUsLJsS/WshRIEZO3YsY8aM0X1/5coVfHx8+OXnn/F45RX869Xjf/v2qW1LHjk7q5tv792rnikfFGSKyHMvMhLmzlXPfY+LU8s0GniqQRw3W4/AdUATmDhRbeP8/CAmRt0HRwiRZw+3LQkJCSZLFot0RlC+fHmsra25du2aXvm1a9fweMRQqIeHR67qa5PEixcv8n//93+5GsN3dnbOWa9SJXVVipcXNGz45Df1BMHB+ocK/PmnusD42DHD9devV4erQR1qWrNG/drKSm2Dg4LUoeWgpxRcXO9nn6VKqfMOU1LUGwwbppaXLZvv+IUQj2Zvb6+XBGqHhxx79gRbW6z79Mn3fKI6ddT/rYOD1T0ICzNRnDMHXnjhwfceHvD88+oOD177/g8GrIY5R+DDDx98IJUkUYh8e7htMaUiPfRsZ2dHYGAgYWFhurKsrCzCwsJo2bKlwWtatmypVx9g06ZNevW1SeLp06fZvHkzbm5u+Qu0d2/9JNGEQyivvQbLl6vzurt1A19ftfEtV07N67LPZWzfXl178t9/6grCw4dh+meJ9Nr/ES4dAu8fo4L68X76dHWMW5skCiHMx8kJRo5U/8c2gWbN1IGO7LNwZsx40ATkl6LAiRPqxg/aD6egfmi1t4c+vbP4941NRM/ZyOefq5+jefpp9aDmQ4dk1EIIC1Lk/28dM2YMw4YNo0mTJjRr1oxp06aRnJzMiBEjABg6dChVqlTRzel58803CQoKYurUqXTv3p3Fixdz4MABZs2aBahJYr9+/Th48CCrV68mMzNTN3+xXLly+V8VGB2t7vkwY4a6jUw+ubmp+yzmZq/FWrXg1VcfKrS3V7fwuXYN/v33wY1atMh3bEKIApKVdX9lR94FBqpb0Gg34X7/fbU9GTo0b/e7fBl27YL/+z91Ad65c2p5167Qvbv6ddWq6rF7Tj9/o77gfw2hayf1w6m1tfqJVwhhUYp8ojhgwABu3LjBhAkTiI2NJSAggPXr1+sWrFy6dAmrbA1qq1atWLRoEePHj2fcuHHUqVOHlStX4uvrC6hzglatWgVAQECA3mtt2bKFdu3a5S/gt99WJwe99ZbatVeYxwjExsJXX6lLDP/5Ry2zs1P3IytdGnr2LLxYhBDGO3IExo5VRyjysaBFq3LlB183bKiem6w1fbo6A8XHR63n6qrmcnfvqjlq27YP6vr65pz+Ymen7r0aGgrcvKleWLUqTk6o48+//gqDB6uL/PK7Ok8IYTZFPlEEGDVqFKNGjTL43NatW3OU9e/fn/79+xus7+XlRYFuHfnrr2orO2VKwSeJiqIew+DkpH5vba2egZWRobbqDRqo5cOHF2wcQgjTuHQJ1q2D3bvVeXzalWomsGOHOsCgNWsWHD9uuG6NGg96DEGdRmhlpS6oa9cOOnRQp7qUKYO6aqXay9CrlzqpGtQh9JMnC/eDshCiQFhEomhRnJ1h8WL9silT1OV/o0ery5RNYe1adZy5WTPdUVdUqACff66emlK3rmleRwhReHr0UM/hGzbMpEki6OdsigLvvadOFzxxQp2ZkpCgnrFcqpTalGTfwPu339S50aVL3784ey+hn5+6MO7MGXXStHb6jiSJQhQLkigWtLg4NXlLToYuXR4kirduqT2AuVnxt3y5egDz8OGgXZRTvjxcvKgO92RmqvcCtfUXQlgmjQY++aRQXmbYsNyvZatV6/4X69apB0v36gUff6yWBQTAgQPQuLEkh0IUQ0V61XOx4OYGS5eqSV7Hjg/Kp05VJwWNH69fv1UrdUJQditXquNE2Y9wadJE3Tjx/PkHSaIQonjZv1+dTmJO2afqJCWp2yksWKAuuNEKDJQkUYhiSnoUC5pGoy4L7NpVv/zCBfXfh7fmiYhQ97BIT38wtNOnjzrbPHuiaWX1YKmhEKL4uXhRnQyYlKTuc/PMM4X7+suXq/vfvPQS3N9lgtBQdRXM4MH5XpUthLAMkiiayx9/gKHTYP7+W00eszfCud0fRwhRfFSvrq6A/vdfdai3oMXHq5MQtXscnj6t7uBgb/8gUbS1hTfeKPhYhBBFhnwkNCdnZ/WRXadO6h6HMpwshBg3DrZufXBmZ1aWOocx+5JkUxg6VF3Bsn37g7LBg9UexSVLTPtaQgiLIomiEEIUZdn3tFm2DCZOVDc5zD5HMPvXj5OQoCZ/r7+uX25jo0532bbtQVnVqvDOO+pyZyFEiSWJohBCWIpq1dTdEwYN0p+eUquWesjz1asPyn77DTp31r9eo1F3RvjxR7h+/UH5++9DVJSahAohRDYyR1EIISxFixbqFjXZexCvX3+wOM7R8UF5dLR65l779g/KnJzg5ZfV+Y/ZE8169Qo0bCGE5ZJEUQghLE32JK9CBXWF9Llz+nOee/eG2rXVHbWzM7SITgghHkGGnoUQwpJpNOqQdLt2+gmkr6+6tZYQQuSDJIpCCCGEEMIgSRSFEEIIIYRBkigKIYQQQgiDJFEUQgghhBAGSaIohBBCCCEMkkRRCCGEEEIYJImiEEIIIYQwSBJFIYQQQghhkCSKQgghhBDCIEkUhRBCCCGEQZIoCiGEEEIIgyRRFEIIIYQQBkmiKIQQQgghDJJEUQghhBBCGCSJohBCCCGEMEgSRSGEEEIIYZAkikIIIYQQwiBJFIUQQgghhEGSKAohhBBCCIMkURRCCCGEEAZJoiiEEEIIIQySRFEIIYQQQhgkiaIQQgghhDBIEkUhhBBCCGGQRSSKM2bMwMvLCwcHB5o3b86+ffseW3/p0qXUr18fBwcH/Pz8WLt2rd7zK1asoHPnzri5uaHRaDh8+HABRi+EEEIIYZmKfKK4ZMkSxowZw8SJEzl48CANGzYkJCSE69evG6y/a9cuBg0axMiRIzl06BChoaGEhoYSGRmpq5OcnEybNm348ssvC+ttCCGEEEJYnCKfKH777be8+OKLjBgxAh8fH2bOnImjoyNz5841WH/69Ol06dKFd999F29vbz799FMaN27Mjz/+qKszZMgQJkyYQHBwcGG9DSGEEEIIi2Nj7gAeJy0tjfDwcMaOHasrs7KyIjg4mN27dxu8Zvfu3YwZM0avLCQkhJUrV+Y7noSEBL3v7e3tsbe3z/d9hRAlQ2pqKqmpqbrvExMTAWlbhBD583Db8nCbkh9FukcxLi6OzMxM3N3d9crd3d2JjY01eE1sbKxR9Y3h6emJi4uL7jFlypR831MIUXJMmTJFrw3x8fEBpG0RQuTPw22Lp6enye5dpHsUi5ro6GicnZ1138snfiGEMcaOHas34nHlyhV8fHykbRFC5MvDbUtCQoLJksUinSiWL18ea2trrl27pld+7do1PDw8DF7j4eFhVH1jODs76zXmQghhjIeHlLXDQ9K2CCHyoyCnqxTpoWc7OzsCAwMJCwvTlWVlZREWFkbLli0NXtOyZUu9+gCbNm16ZH0hhBBCCGFYke5RBBgzZgzDhg2jSZMmNGvWjGnTppGcnMyIESMAGDp0KFWqVNHN6XnzzTcJCgpi6tSpdO/encWLF3PgwAFmzZqlu+etW7e4dOkSV69eBeDkyZOA2htpip5HIYQQQojioMgnigMGDODGjRtMmDCB2NhYAgICWL9+vW7ByqVLl7CyetAx2qpVKxYtWsT48eMZN24cderUYeXKlfj6+urqrFq1SpdoAgwcOBCAiRMnMmnSpMJ5Y0IIIYQQRVyRTxQBRo0axahRoww+t3Xr1hxl/fv3p3///o+83/Dhwxk+fLiJohNCCCGEKJ6K9BxFIYQQQghhPpIoCiGEEEIIgyRRFEIIIYQQBkmiKIQQQgghDJJEUQghhBBCGCSJohBCCCGEMEgSRSGEEEIIYZAkikIIIYQQwiBJFIUQQgghhEGSKAohhBBCCIMkURRCCCGEEAZJoiiEEEIIIQySRFEIIYQQQhgkiaIQQgghhDBIEkUhhBBCCGGQJIpCCCGEEMIgSRSFEEIIIYRBkigKIYQQQgiDJFEUQgghhBAGSaIohBBCCCEMkkRRCCGEEEIYJImiEEIIIYQwSBJFIYQQQghhkCSKQgghhBDCIEkUhRBCCCGEQZIoCiGEEEIIgyRRFEIIIYQQBkmiKIQQQgghDJJEUQghhBBCGCSJohBCCCGEMEgSRSGEEEIIYZAkikIIIYQQwiBJFIUQQgghhEGSKAohhBBCCIMkUcyF1NRUvX8tSWpqKpMmTbK42C01brDc2C01brDc2BMTEwFpWwqTpcYNlhu7pcYNlhu7KfMWSRRzwdITxY8//tjiYrfUuMFyY7fUuMFyY09KSgKkbSlMlho3WG7slho3WG7sJS5RnDFjBl5eXjg4ONC8eXP27dv32PpLly6lfv36ODg44Ofnx9q1a/WeVxSFCRMmUKlSJUqVKkVwcDCnT58uyLcghBBCCGFxinyiuGTJEsaMGcPEiRM5ePAgDRs2JCQkhOvXrxusv2vXLgYNGsTIkSM5dOgQoaGhhIaGEhkZqavz1Vdf8f333zNz5kz27t1L6dKlCQkJ4d69e4X1toQQQgghijwbcwfwJN9++y0vvvgiI0aMAGDmzJmsWbOGuXPn8sEHH+SoP336dLp06cK7774LwKeffsqmTZv48ccfmTlzJoqiMG3aNMaPH0/v3r0B+O2333B3d2flypUMHDgwxz0zMzMBOHToEDExMbryMmXK4OTklO/3mJ6eTnx8PABXrlzB1tY23/fU0s6BunLlCgkJCSa7b0Gz1LjBcmO31LjBcmJPTEzUDTcDHDlyBICDBw9K21JILDVusNzYLTVusJzYH25bYmNjgQf5S74oRVhqaqpibW2t/P3333rlQ4cOVXr16mXwGk9PT+W7777TK5swYYLi7++vKIqinD17VgGUQ4cO6dV56qmnlDfeeMPgPf/v//5PAeQhD3nIQx7ykIc8LObxf//3f3nKv7Ir0j2KcXFxZGZm4u7urlfu7u7OiRMnDF4TGxtrsL42u9b++7g6D6tZsyYAs2bNIjk5GRubRrz+eiOqV1eIiNAY/8YeIS0tjalTpwLw9ttvY2dnl+97JiQk4OnpSXR0NM7Ozvm+X2Gx1LjBcmO31LjBcmJPTU3Vm1x+6NAhevXqxb59+6hUqZKu3N7eHnt7e3OEmGuW8jN/mKXGDZYbu6XGDZYT+8NtS0xMDM2aNdPlL/lRpBPFosLa2hqAf//9l3///ZfJk6ezfHkQrq5gyt+btLQ0HBwcAHB2djZJoqjl7OxcpH/JH8VS4wbLjd1S4wbLi1073FypUiWqVq1q5mjyxtJ+5lqWGjdYbuyWGjdYbuza/CU/ivRilvLly2Ntbc21a9f0yq9du4aHh4fBazw8PB5bX/uvMffU0n7Ct7FJpW9f6NAh9+9FCCGEEMLSFOlE0c7OjsDAQMLCwnRlWVlZhIWF0bJlS4PXtGzZUq8+wKZNm3T1a9SogYeHh16dhIQE9u7d+8h7Zo8HkNXRQgghhCgRivzQ85gxYxg2bBhNmjShWbNmTJs2jeTkZN0q6KFDh1KlShWmTJkCwJtvvklQUBBTp06le/fuLF68mAMHDjBr1iwANBoNo0eP5rPPPqNOnTrUqFGDjz76iMqVKxMaGmowBm1PoqOjIwDJyff480+4exeGDwerIpxu29vbM3HixCI/3+lhlho3WG7slho3WG7sZcqUAbC4uMFyf+aWGjdYbuyWGjdYbuzaeE0Sd76XwxSCH374QalWrZpiZ2enNGvWTNmzZ4/uuaCgIGXYsGF69f/66y+lbt26ip2dndKgQQNlzZo1es9nZWUpH330keLu7q7Y29srHTt2VE6ePPnI14+Pj1cA5Y033lAA5bXX3lJAUUBRkpNN9z5TU1OVSZMmKZMmTVJSU1NNd2MhRJEUHR2tAEp8fLy5QxFCFCPavMUUbUuR71EEGDVqFKNGjTL43NatW3OU9e/fn/79+z/yfhqNhk8++YRPPvnEqDi0C00yMx+sLLp7F+53NAohhBBCFCtFeNC06NEmimlp97C5n2LfvWvGgIQQQgghCpAkikbQJor37t2jVCm1TBJFIYQQQhRXkigaQTsp9O7du5IoCiGEEKLYk0TRCKXuZ4f37t3TzUuURFEIIYQQxZUkikbQDj3fvXtXlyimpJgxIFFk7Nu3Dzs7Oy5evGj0tcePH8fGxobIyMgCiEwIYYmSkpKwsrLi22+/NXcoooSTRNEI2RPFL7+Ev/4CHx8zByVMbtKkSWg0GuLi4gw+7+vrS7t27fTKPvzwQwYNGkT16tV1Zfv27ePVV18lMDAQW1tbNBrD54L7+PjQvXt3JkyYYLL3IISwbJGRkSiKQoMGDcwdiijhLGJ7nKIie6LYo4eZgxFFxuHDh9m8eTO7du3SK1+7di2//vor/v7+1KxZk1OnTj3yHi+//DLdunXj7Nmz1KpVq6BDFkIUcUePHgXUD5JCmJP0KBpBO0fxrkxMFNnMmzePatWq0aJFC73yV155hfj4eA4cOECnTp0ee4/g4GDKli3LggULCjJUIYSFOHr0KM7Oznh6epo7FFHCSaJohOw9igcOwNKlcPKkmYMSZrdy5Uo6dOiQY2jZ3d1d9+HiSWxtbWnXrh3//PNPQYQohLAwR48exdvbm4MHD9K1a1ecnJyoUqUK06dPN3doooSRRNEI2XsUv/sOnnkG1q41c1DCrK5cucKlS5do3Lhxvu8VGBhIZGQkCQkJJohMCGHJjh49SmJiIj169KBx48Z88803VKpUibfeeks3LC1EYZA5ikbInijKqmcBcOLECQBq1KiR73vVrFmTrKwsTpw4QbNmzfJ9PyGEZYqJieHmzZtoNBoOHjyoG35+6qmn8PHx4dChQ/j5+Zk5SlFSSI+iERzvZ4cpKSmUKqXc/9qcEQlzu3nzJgBly5bN972093jUamshRMkQEREBwCeffKI3R9HW1hYAOzs7s8QlSiZJFI2gnaMIYG+fCkiiWFI9PB9RUZR831N7j0dtoyOEKBm0Q8t9+vTRK9eOYNSrVw9Q24wyZcpw/fr1wg1QlCiSKBpB26MIYGubDEiiWBxlX7RkSEpKiq6Om5sbALdv387362rvUb58+XzfSwhhuY4ePUqVKlXw8PDQKz9y5Ag2Nja6LXPOnz+Po6MjFStWNEeYooSQRNEINjY2uq5/Gxs1iZBEsfjRbpp90sCS9pSUFKKjo3V16tevD6gNdn6dP38eKysr6tatm+97CSEs19GjR/H3989RHhERQd26dbG3tycqKgofHx9u375NmTJlaNq0qRkiFSWBJIpG0vYqWlmpPYrJyeaMRhSEjh07Ymdnx88//0xWVpbec7NmzSIjI4OuXbsCUKVKFTw9PTlw4EC+Xzc8PJwGDRrg4uKS73sJISxTZmYmUVFRNGzYMMdzR44c0SWQ3t7eTJw4kVdeeYWkpCT2799f2KGKEkJWPRupdOnSxMfH4++fwpw5IIdoFD8VK1ZkwoQJjB8/nqeeeopevXrh6OjIrl27+PPPP+ncuTM9e/bU1e/duzd///03iqLozS+8ePEiCxcuBNAlkp999hmg9loOGTJEVzc9PZ3//vuPV199tTDeohCiiDp9+jT37t3L0aN49+5dzpw5w7Bhw3RlERERdOjQobBDFCWMJIpG0vYoVqyYTN++Zg5GFJgPP/wQLy8vfvzxRz755BMyMjKoUaMGH3/8Me+//z5WVg86459//nl+/PFHdu7cSZs2bXTl58+f56OPPtK7r/b7oKAgvUQxLCyMW7du6f0REEKUPNqFLA8nipGRkWRmZuqVR0REMHr06MIMT5RAkigaqXTp0gAky5hzsffcc8/x3HPPPbFeo0aN6NChA7/88oteotiuXbtcr4aeOXMmoaGh1K5dO8/xCiEsX//+/Q22G02bNtUrT0tL4/Tp0/j6+hZmeKIEkjmKRtImijdupLB+PWzYYOaARJEwefJklixZwsWLF42+NioqitWrV/Ppp58WQGRCiOIoMTERUBNGIQqS9CgaSTv0fP58MkOGQJUqcPmymYMSZte8efM8N9je3t5kZGSYOCIhRHHm5ubGoEGDqFatGg0aNGDPnj3mDkkUU9KjaKQyZcoAkJUlq56FEEKYz4IFC0hMTJQkURQoSRSNpB16zshIAiRRFEIIIUTxJYmikbQ9iunpSff/BZkiIoQQQojiSBJFI2kTxbS0JF2Z9CoKIYQQojiSRNFI2kTx3r1k7p/mJ4miEEIIIYolSRSNpE0Uk5KSuD9dkaSkx1wghBBCCGGhZHscI2kTxcTERL7+Wi2rWNGMAQkhhBBCFBBJFI2UPVF84QUzByOEEEIIUYBk6NlITk5OgDr0LIQQQghRnEmPopG0iWJiYiLHjsGVK+DjA1WrmjkwIYQQQggTkx5FI2VPFD/4AEJC5LxnIYQQQhRPkigaydnZGVATxfvTFWXVsxBCCCGKJUkUjaRNFBMSEihdWgEgMdGcEQkhhBBCFAxJFI2kTRSzsrIoVSoFkB5FIYQQQhRPFpEozpgxAy8vLxwcHGjevDn79u17bP2lS5dSv359HBwc8PPzY+3atXrPDx8+HI1Go/fo0uX/27vv+JjvP4Djr8tlIwkiixAjSCRGzFBFjVi1WquqqkprFNVqq1Wj2qbaWkWtluqvqFLUbiM2sULMmDUSZCASEsllfH9/XHMcQfbdJe/n4/F9JPf5fr7fe99pP94+389on61YbG1tMTPTfm3m5gmA9CgKIYQQomgy+kRx5cqVjBkzhokTJ3L06FHq1KlDQEAAMTExWdbfv38/ffv2ZdCgQRw7doxu3brRrVs3Tp06pVevffv23Lx5U3esWLEiW/GoVCpdr6IkikIIIYQoyow+UZw+fTqDBw9m4MCBeHt7M3/+fGxtbVm8eHGW9WfNmkX79u0ZO3YsXl5eTJkyBT8/P+bMmaNXz8rKChcXF91RunTpbMeUmSiq1fGAJIpCCCGEKJqMOlHUaDSEhobSpk0bXZmZmRlt2rQhJCQky2tCQkL06gMEBAQ8UX/nzp04OTlRo0YNhg4dyu3bt58bT0JCAgkJCbolctzdbzFtGgwenNNPJoQojlJSUnTtSEJCAvf++1fmo2UJCQmkpKQYOFIhhCl5vG1JSEjIt3sbdaJ469Yt0tPTcXZ21it3dnYmKioqy2uioqKeW799+/b8+uuvBAcHM3XqVHbt2kWHDh1IT09/Zjzu7u7Y29tz+vRpAHbt+oUxY6Bjx9x8OiFEcRMYGIi9vb3u8Pb2Bh62LZlHYGCggSMVQpiSx9sWd3f3fLt3sdyZpU+fPrrffX19qV27NlWrVmXnzp20bt36qddFRERgZ2dHr169+Pvvv3nppZcKI1whRBExbtw4xowZo3t9/fp1vL29dW1LJisrK0OEJ4QwUY+3LQkJCfmWLBp1oujo6IharSY6OlqvPDo6GhcXlyyvcXFxyVF9gCpVquDo6MjFixefmSja2dlhZ2eHo6MjAPHxSRw4ABoNvPhidj+VEKK4srKy0ksCMx8PZbYtQgiRG4+3LfnJqB89W1paUr9+fYKDg3VlGRkZBAcH4+/vn+U1/v7+evUBgoKCnlofIDIyktu3b+Pq6pqtuBwcHAC4ejUOf394+eVsXSaEEEIIYVKMOlEEGDNmDIsWLWLp0qWEh4czdOhQEhMTGThwIABvvPEG48aN09UfNWoUW7duZdq0aZw9e5ZJkyZx5MgRRowYAcD9+/cZO3YsBw4c4MqVKwQHB9O1a1eqVatGQEBAtmLKTBQ1moeznjMy8vFDCyGEEEIYAaN+9AzQu3dvYmNjmTBhAlFRUdStW5etW7fqJqxcu3ZNtwA2QNOmTVm+fDnjx4/n008/xdPTk3Xr1uHj4wOAWq3mxIkTLF26lLt37+Lm5ka7du2YMmVKtrttMxPFxMQ4ABQFEhPhv8nQQgghhBBFgtEnigAjRozQ9Qg+bufOnU+U9ezZk549e2ZZ38bGhr///jtP8WSuuXjvXhxqNaSnQ0KCJIpCCCGEKFqM/tGzMcpMFOPi4sgcf56PSxYJIYQQQhgFSRRzQRJFIYQQQhQHkijmQpkyZQC4c+eOLlGMjzdgQEIIIYQQBcAkxigam0cTxS+/VIiPV+HpaeCghBBCCCHymSSKuZCZKKamptK7933d3s9CCCGEEEWJPHrOBVtbW91SOnfu3DFwNEIIIYQQBUMSxVxQqVSULVsWgLNnb3HwIFy6ZOCghBBCCCHymSSKuZS53/OSJbdp0gR++MHAAQkhhBBC5DNJFHMps0dRpboFyKxnIYQQQhQ9kijmUmaPYnp6LAB37xowGCGEEEKIAiCJYi49TBS1PYqSKAohhBCiqJFEMZfKlSsHQHKy9CgKIYQQomiSRDGXnJycAEhKkkRRCCGEEEWTLLidS5mJ4r17MYAkikKI54uPj+f48eOEhYURFhbGkSNHDB2SEEI8kySKuZSZKMbHx/DZZ/DfJGghhEBRFG7evMmxY8c4duwYYWFhHDt2jH///dfQoQkhRI5IophLzs7OAMTGRvPllwYORghhMOnp6Vy8ePGJpDA2NjbL+hUrVqRevXrUqVOHChUqMGTIkEKOWAghsk8SxVzKTBTj4+NJTk7G2trawBEJIQpaeno6Z8+eJTQ0VHeEhYWRmJj4RF0zMzO8vLyoW7cu9erV0yWHZR95/BAZGVmY4QshRI5JophLDg4OWFpaotFoOHIkGguLStSoAQ4Oho5MCJEfHk0Kjxw5oksKk5KSnqhrY2ND7dq1qVevni4x9PX1xcbGxgCRCyFE/pFEMZdUKhUuLi5cu3aNN9+M4tKlSvz9N7RrZ+jIhBA5lZGRwblz5zh8+PBzk0JbW1vq1atH/fr1dUfNmjVRq9UGiFwIIQqWJIp5kJkoWlndBCAuzsABCSGeS1EUIiIiOHz4MIcPH+bQoUOEhoaSkJDwRN0SJUo8kRTWqFFDkkIhRLEhiWIeuLq6AmBhIYmiEMbq9u3beknh4cOHiY6OfqKejY0Nfn5+NGzYUJcUVq9eXZJCIUSxJoliHri5uQGgUt0A4PZtQ0YjhEhNTeXEiRMcOHBAd1y8ePGJemq1Gl9fXxo1akTDhg1p2LAhtWrVwtxcmkQhhHiUtIp5kJkopqdLoiiEIVy/fl0vKTxy5AjJyclP1PP09KRhw4a6xLBu3brY2toaIGIhhDAtkijmQfny5QFISbkOwJ07hoxGiKItJSWFo0ePsn//fl1imNXyMg4ODjRp0kR3NGrUiNKlSxsgYiGEMH2SKOZBZqJ4/742UZQeRSHyz61bt9i/fz/79u1j//79HD58mJSUFL06ZmZm1K5dWy8x9PT0xMxMtrEXQoj8IIliHlSoUAGAhIQIPvsMfH0NHJAQJkpRFM6ePatLDPft28f58+efqOfo6EjTpk3x9/fH39+f+vXrU7JkSQNELIQQxYMkinng7u4OwP378Xz88T1KlSpl4IiEMA1paWkcO3aMPXv2sHv3bvbu3cvtLLrkvby8aNasGU2bNqVZs2Z4enqiUqkMELEQQhRPkijmQalSpXBwcODu3btERETg7e1t6JCEMEoPHjzg0KFD7N69mz179hASEsL9+/f16tjY2NCoUSNdUtikSRO97e6EEEIUPkkU86hixYrcvXuXkJBrxMd706gRyLJrori7f/8++/btY+fOnezZs4fDhw+j0Wj06jg4OPDCCy/w4osv0rx5c/z8/LC0tDRQxEIIIbIiiWIeVapUiRMnTvD221cBiImBcuUMHJQQhSwxMZH9+/ezY8cOdu7cyeHDh0lLS9Or4+rqSvPmzXWJoY+Pj0w6EUIIIyeJYh5VqlQJACurK6SkwK1bkiiKoi8pKUkvMTx06NATiWGlSpVo2bIlLVq0oHnz5lStWlXGFwohhImRRDGPMhNFCwttohgbC15eBg5KiHyWmprK4cOHCQ4OZtu2bYSEhJCamqpXx93dnVatWtGqVStatmyJh4eHYYIVQgiRbyRRzKMqVar899tlQJsoCmHqFEXh9OnTbNu2jeDgYHbt2sW9e/f06lSoUEGXFLZq1QoPDw/pMRRCiCJGEsU8qly5MgAazSVAEkVhum7cuME///xDUFAQwcHBREdH650vU6YML730Eq1bt6Z169ZUq1ZNEkMhhCjiJFHMo8weRY3mFpBATIydYQMSIpsePHjAnj17+Pvvv/nnn384deqU3nkbGxuaN29OmzZtaN26NXXr1pXJJ0IIUcyYRKs/d+5cPDw8sLa2pnHjxhw6dOiZ9VetWkXNmjWxtrbG19eXzZs3P7Xuu+++i0qlYubMmbmKzd7ennK62SuXpEdRGC1FUTh16hTTpk0jICCAMmXKEBAQwPTp0zl16hQqlYqGDRvy2WefsWPHDuLi4vj7778ZO3Ysfn5+kiQKIUQxZPQ9iitXrmTMmDHMnz+fxo0bM3PmTAICAjh37hxOTk5P1N+/fz99+/YlMDCQzp07s3z5crp168bRo0fx8fHRq7t27VoOHDiAm5tbnmKsVq0asbGx9OhxgY4d6+XpXkLkp3v37hEcHMzmzZvZsmULkZGReufLly9PQEAA7dq1o3Xr1jg6OhooUiGEEMbI6BPF6dOnM3jwYAYOHAjA/Pnz2bRpE4sXL+aTTz55ov6sWbNo3749Y8eOBWDKlCkEBQUxZ84c5s+fr6t3/fp13nvvPf7++286deqUpxg9PT0JCQnBz+8CHTrk6VZC5EnmnsmbN29m8+bN7NmzR292srW1NS1btqRdu3YEBATg5eUl4wwL0e1bCkf/juXoP7EMmFQFLAwdkRBCPJtRJ4oajYbQ0FDGjRunKzMzM6NNmzaEhIRkeU1ISAhjxozRKwsICGDdunW61xkZGfTv35+xY8dSq1atbMeTkJCg99rKygorKytq1KgBwLlz57J9LyHyS3JyMjt37mTDhg1s3ryZK1eu6J2vWrUqHTt2pGPHjrRo0QIbGxvDBFrM3I1TOLjpFqEH0wi94crRo3DligpwApyoVPU4dXpqd6J5WtsihBDZkZKSQkpKiu71421KXhh1onjr1i3S09NxdnbWK3d2dubs2bNZXhMVFZVl/aioKN3rqVOnYm5uzsiRI3MUj7u7u97riRMnMmnSJF2iePz4WUJCwN8/R7cVIsdiYmLYtGkTGzZs4J9//iExMVF3ztLSkpYtW+qSQ09PTwNGWjzERCuEbo2lZj0bKtcuBcDmyYfpN6vRE3VduEhtQpk6cTZhE/cBT29bhBAiOwIDA5k8eXKB3NuoE8WCEBoayqxZszh69GiOH7lFRERgZ/dwVnPmv/i9/lth+8SJszRtqpCcrEI6A0R+ylzXcP369WzYsIGDBw+iKIruvJubG507d6Zz58689NJLlChRwoDRFm3x8XBkVyKHz5Tg0CE4fBgiI7U9hd+/FsoHy+oD0KCTM56zzlO/7BXqf9yW+g1UeHunYGNdDlQdgA5cv34db2/vp7YtQgiRHePGjdN7mpqQkPDEP0Bzy6gTRUdHR9Rq9RPruUVHR+Pi4pLlNS4uLs+sv2fPHmJiYqhYsaLufHp6Oh988AEzZ8584rHdo+zs7PQa80zVqlVDrVaTnn4PuE5MTAXy6c9HFGPp6ekcOHCAtWvXsm7dOi5duqR33s/Pj5dffpmXX34ZPz8/GWtYAJKTIfG+QllH7XcbtiGCel3cAf1EXEUG1TmPVeIdXVn1NhU5n5QMNtUfqWn136GV+XjoaW2LEEJkR0EOVzHqRNHS0pL69esTHBxMt27dAO34wuDgYEaMGJHlNf7+/gQHBzN69GhdWVBQEP7/PQ/u378/bdq00bsmICCA/v376ybM5CZOT0/P/x6HnyYqShJFkTvJycls376dtWvXsn79emJiYnTnrKysaNOmDS+//DKdO3emfPnyBoy06ElPh/BwOHhQ20t4eEssJ645MLjRCX48qO0lrPmiExZoKM91GnV2pmELWxo2BD+Pu5Ry9gDrmg9vqFKBjAcVQpg4o04UAcaMGcOAAQNo0KABjRo1YubMmSQmJuqSujfeeIPy5csTGBgIwKhRo2jRogXTpk2jU6dO/P777xw5coSFCxcCULZsWcqWLav3HhYWFri4uOjGGuaGj4/Pf4niKW7cCMj1fUTxk5iYyJYtW1i9ejWbNm3i/v37unP29vZ07tyZ7t27ExAQQMmSJQ0YadGUkpROJ69LHLpennvpj/YUatdHvfDvw/Ujre2tiNl+DIf6VcHO9pG6ZQonWCGEKGRGnyj27t2b2NhYJkyYQFRUFHXr1mXr1q26CSvXrl3TWwi4adOmLF++nPHjx/Ppp5/i6enJunXrnlhDMb/5+vqyevVq4AQ3bxboW4kiICEhgU2bNrF69Wq2bNnCgwcPdOfc3Nzo1q0b3bt3p0WLFlhYyBoqeaXRwIkTcGDTbQ6sj8HaGn7apx1bbGWr5t8b1txLL0EJ6zQaNjGnUSNo6BFLQ8vjVOyo33Y4tJK1UoUQxYfRJ4oAI0aMeOqj5p07dz5R1rNnT3r27Jnt+z9rXGJ21a5d+7/fjkuiKLKUkJDAX3/9xerVq/n777/1ljKoUqUKr776Kq+88goNGjSQXVDywZbfbrP9j1hCbnoQesqa5GSAskBZHMziWZgBmV/zotFnKGcfRq23GqN2y1w1oRzQJst7CyFEcWESiaIpqFcvs5fhDBERGsDSkOEII5GYmMiGDRtYuXIlW7Zs0UsOa9Sowauvvsqrr75KnTp1ZDJKLmVkwNkzGZzYfos+Ix/u1vT9yKtsj/PTvS5dGpr4aWgSuZomTc1QMnqDmfY7b/1d+0KPWwghTIEkivmkYsWKlCpVmnv34qhX7xTg99xrRNH04MEDNm/ezMqVK9m4caPeY2UvLy969epFz5498fb2luQwF5KStJNN9u2D/fth/9504uLVgBNteqbi6Kp9VP9q05tUO/AnTV9xxf+Dpnh6gkplCbxm0PiFEMKUSKKYT1QqFY0b12fbtm1YW4ciiWLxkpaWxvbt21m2bBlr167l3r17unNVq1alT58+9O7dGx8fH0kO8+CrvieZvLImqcqj4zbV2JBEY/URbh93x9G1MgBDN3TUzjwWQgiRa5Io5qMGDRqwbds2Dh8+zODBgw0djihgiqJw+PBhli1bxsqVK/XW76xYsSK9e/emd+/essZhDkVHw549sHvJRfYcsubn5Tb4tdWuVFC+RDypigWuFrdo1tWRZs2gWTOoW+omFtWagvkjTZp850IIkWeSKOajBg0aArB9+yFSU0EmqxZNly5d4n//+x/Lli3j4sWLuvKyZcvSu3dvXnvtNfz9/WVCSjbdvg1blt1h9zYNu8+78HDL9GoA7F4WpksUu31YjRe911G5Rz1UHo6P3KVqocYshBDFhSSK+ahJkyYAXLp0krNn7+PrK2veFRVxcXGsWrWKX3/9lX379unKbW1t6datG/369aNt27aylE02REVBeppC+QraHr8Ty07Sf5SvXh1fX3ix1DFeLHWMlq830JU71HTBoWa3wgxXCCGKNUkU81H58m6Ym7uTlhbBtm0H8fVtbeiQRB6kpaWxdetWfv31V9avX6+bsWxmZkbbtm3p378/3bp1k32VnyMmBnbtgh07YMfaOM5GlWZ086PM2K3d7aTJ69Xwf/8ATctdpMWMbjQLKEmZMgD1/juEEEIYiiSK+axs2ReIjl7Bnj17eP99SRRN0ZkzZ1iyZAn/+9//9MYd+vr6MmDAAF577TVcXV0NGKHxS07K4JPXrrFtrzWnbz+6L3tpVGQQdfHh7jM2ZWzYf6822DYp/ECFEEI8kySK+czDoznR0Ss4fny3oUMRORAfH8/vv//O4sWLOXTokK7cycmJfv36MWDAAOrUqWPACI1Xaioc3J/OjfB4er2r3crOylrFnxstiUzXJom+vtCqFbSqFcOLlgco07mp/k1sbR+/rRBCCCOQ40QxLi4ORVEoU6YMsbGx7Nmzhxo1alCrVq2CiM/k+Pm14uBBuHp1P8nJyVhbWxs6JPEUiqKwZ88efvrpJ1atWkWydusOzM3N6dSpE2+99RYdOnSQcYePURQ4cwaCgmDbNti1PZ37D9SUUZvx6hDtbicqMxVftt+HTdJtWo1vRrmXMscgOgFdDBm+EEKIHMhRovjTTz/x9ddfAzB27FiWLVtGnTp1mDhxIqNGjeLtt98ukCBNSb16NQBX0tNvEhISQqtWrQwdknhMdHQ0S5cu5aeffuLChQu6ch8fHwYOHMjrr7+Ok5PTM+5QfAW+c5m5yxy4nlj6kVI1jsTyktke4iPbUrpiKQAGbMz+NppCCCGMU44SxR9++IHTp0/z4MEDKlasyOXLlylXrhzx8fG0aNFCEkXAw0MFtAZ+459//pFE0UhkZGQQFBTEggUL2LBhA2lpaQCULFmSvn378vbbb9OwYUNZ7/A/6elw5LDC1v/FMObrcpSy1y71k3jqCtcTW2Gt1tD8JUvatoU2baAONzDz7aK/jqEQQgiTl6NW3dzcHBsbG2xsbKhWrRrlypUDwN7eXv6C/Y+PD3Tt2p6//vqNLVu2EBgYaOiQirXo6GgWL17MokWLuHz5sq7c39+ft99+m169elGypCxjBNrZyVu2wObNsG2bwp07KsCZep6X6DJau07hmx+U5cUys2n+jjc2nR+drCXjN4UQoijKUaKoVqt14+527dqlK79///4zripeXF1h0aJ2rF+v4vjx40RGRlKhQgVDh1WsKIrCjh07mD9/PmvXrtX1Htrb2/PGG28wZMgQfHx8DByl8Tj0dxzvDUnm8DVnFDIXCVdhb36fthn/UDbejswFrav1qE21HrUNFqsQQojClaNEcdu2bVhZWQHav3QzJSUlsXDhwvyNzISVK1cOf39/9u/fz4YNGxg6dKihQyoW4uLiWLp0KfPnz+fcw+09aNKkCe+88w69evXCtpjPrk1IgKAtaZQr+YAXO2nHEpZRxXHoWhUA/Oqm07Gzmg4doJHbXcydO4CNjSFDFkIIYUA5ShQfTQ63bdtG69atUalUODk5yeD/R9y8CT4+Xdm/fz9r1qyRRLGAHT16lLlz57JixQoePHgAaMce9u/fn3feeafYL2tz7RqsX689dm5PJzXdnG5VL/NiJ23PYLW2lVnxwlxebGuF2+heYGf335XSEy6EEMVdrkeeBwQEcPPmTUkQszBuHCxd+grwMTt27CA2NlY3nlPkj5SUFFavXs2cOXM4cOCArtzX15ehQ4fy+uuvU6pUKQNGaFiKAl+OjWfNSg1hkY/+t6fGk/P4JIcC/z1CVqnos2e4IcIUQghh5HKdKCqKkp9xFClVqwJUpWxZP27fPsrq1aulVzGfREZGMn/+fBYtWkRMTAwAFhYWvPrqqwwbNoxmzZoVy4lVqalw/Dg0+G9bZJUKti64Qtj9OpipMmjazIyuXeHl1knU0MRBwwGGDVgIIYRJkLUsCkC1atqfdnb9uH37KP/73/8kUcwDRVHYu3cvs2fPZs2aNaSnpwNQvnx53n33Xd5++21cXFyec5eiJzkZ/vkH1vyuYf3aNBKSLYmJUVGmnBqAsd0ucvfgJjp9Wodyb3b67ypboLHBYhZCCGFa8pQozps3jxdeeAE/Pz9Kly79/AuKCW2PIiQmvoZa/REhISGcOXMGb29vwwZmYh48eMCKFSuYPXs2YWFhuvIWLVrw3nvv0aVLl2K3a8q9e7BlUwZ/rtCwebs12gUHLAFLyhHD+TU3afKOdkxmt197aLsWhRBCiFzKU6I4Z84cJk+ejEqlwt3dHT8/P72jyPXyHDgA589Dw4bQ+Om9Mp6e2p8xMS506tSZTZv+YtGiRcyYMaOQAjVtkZGRzJs3jwULFnD79m0AbGxseP311xkxYgS1axff5VmWTTzP0BnVAe3WkBUqQI8e0MNsHS80SUXduePDypIkCiGEyKM8JYqnT58mLS2NY8eOcfToUY4ePcqiRYuIiIhApVLh4uLC9evX8ytWw/vjD/j5Zxg//pmJYunSUK4cxMZCQMA7bNr0F0uWLGHKlCmyuPNTKIpCSEgIP/zwA6tXr9Y9Xq5YsSLDhw/n7bffpkyZMgaOsvDcvw8bNyj8sSCOzm1TeOszVwC6vV6SGTPO0c1qK69seZsGLUpgZgbQzZDhCiGEKKJynShmThhwc3PDzc2NTp066c7dvn2b0NBQvceFRUL9+hAfD7VqPbdqjRraRLFMmQCqV6/O+fPnWbx4MSNHjiyEQE2HRqPhjz/+YNasWRw5ckRX3qJFC0aOHEmXLl0wLybbwiUlwaZN2n+PbNoEDx6ogDLEnT+rSxRd/Nw4t3sPNHoX/lvTVAghhCgoKiWX05fNzMyIiooqFsvjJCQkYG9vT3x8PHa6NeaebdUqbU7Zpg1s2TKPYcOG4e7uzsWLF7G0tMzyGo1Go9vyb9y4cU+tVxTExMSwYMECfvzxR6KiogCwsrKiX79+jBw5slitfago8FbPBFZtsCZR8/DPvKpbEr1j59Kreyp1Vn5qwAhFQYmMjMTd3T1HbYsQQjxPbvKWp8l1V83WrVv1FuAW+nr2fPj7wIED+eKLL4iIiGDJkiW88847hgvMwMLCwpg1axYrVqwgJSUF0PZKDxs2jCFDhhSL9SYVBU6dAl9f7WuVCm5uDydR0xiP0nfpPcSBXr2gXm0rVJrhUMx3kxFCCGE4Zs+vou/Bgwdcv36ddu3a6bbzA+14xWIjh52w1tbWjBs3DoAvvviCpKSkgojKaKWnp7N27VpatmxJvXr1+OWXX0hJSaFRo0YsW7aMy5cv89lnnxX5JPHcOfhsXAZVnO9Tp3YGERdTdOcmD4thf+P3+fe3EL75Bvz8QGWuliRRCCGEQeUoUVy9ejWenp506tSJ2rVrc/DgQd25/v3753twRufaNahYEbIxmzsjA/buhQULtIshv/POO1SqVIkbN27w7bffFkKwhhcXF8f3339P1apV6dGjB7t27cLc3Jw+ffoQEhLCwYMHee2114r0I/Y7d+DHH6FJE6hZE77+xowrsSUpQSInfjmqq9f4y5fxPzADVccOBoxWCCGE0JejR89ffvkloaGhODs7ExoayoABA/j000957bXXisdOLfb2EBGh/T0p6bm9Pe3bQ2IivPgieHlZ8f3339OzZ0+mTp1Kv3798MxcR6eIOXXqFLNnz+a3337T9Z6WLVuWIUOGMGzYMCpUKB57CAevu0eHV21JTdcugK1Wa/+b6O+wgZfdQrEdJLujCCGEMG45ShRTU1NxdnYGoH79+uzevZvu3btz8eLF4rFtmp0dhISAmxtYWz+zqpmZdnL0oUNw8iR4ecErr7xCu3bt+Oeffxg0aBA7duxArVYXUvAFKy0tjfXr1zNnzhx27NihK/f19WXUqFG89tpr2NjYGDDCgnf6tLYHsXlz7euGtVMwT1dTi3MMGOtM3w/c0P7v8/J/hxBCCGHccvTo2cnJiRMnTuhelylThqCgIMLDw/XKiyyVSvsMsWJF/lu87pky14U+fjzzchULFiygRIkS7Nmzh2+++aYAgy0c0dHRfPXVV1SuXJlXXnmFHTt2YGZmxiuvvMLOnTs5fvw4gwYNKrJJYnw8LFwIjeum4OMDI3tE6s7ZVXHkwugfObY4jNET7P5LEoUQQgjTkaMexf/9739PrGlnaWnJihUrGDFiRL4GVhRkrvDyaA7t4eHBnDlzGDhwIBMmTKBRo0a0bdvWMAHmkqIo7N69m/nz5/Pnn3+SmpoKgKOjI2+//TZDhw6lYsWKBo6y4CiKdvzpTz9pl0F68ADACnNSqXznCIkRtpRw1y4OXn7GhwaNVQghhMiLHCWKzxpb1qxZszwHYxKOHIH9+7XdhS1bPrNqZqKY2aOYacCAAezevZslS5bQq1cvdu/ejW/mWilG7NatW/z2228sXLiQ8PBwXXnjxo0ZPnw4PXv2xPo5j+SLghGv3+XH5Q66115eMOgthf7nJ+PU1R/cZNkoIYQQRUOOl8d53IQJE/IjDtPx558wapT253NkJooREdpdWjKpVCrmzZtHs2bNuHv3Lu3atePMmTMFFHDepKenExQURJ8+fShfvjzvv/8+4eHhlChRgiFDhhAaGsqBAwfo379/kUwSFQX27IFHd6Ls6HqMEtxnUIkVhOxN5/Rp+OBDFU4Lv4ROnbSzVoQQQogiIM+J4qpVq1i2bNkT5WvWrKF25iC9oqRhQ3j1Ve1Cd89hZ6fdyg8gNFT/nJWVFRs2bKB27dpERUXRokULveWGDO3s2bN8+umneHh40K5dO1auXIlGo8HPz48ff/yRGzdusGDBAvyy8T2YooQEmDMHalXX8OKL8OP7F3Tn2k/250bvMfy01pEm/iqKwzwuIYQQxVOeN9HdsGEDLVu2xMPDg2bNmrF+/XomTZrE8ePH6dGjR37EaFx69NAe2TR9OpQsqd0m+nGlS5dm+/bttG/fniNHjtChQwfGjh2bj8HmzLVr1/jjjz9Yvnw5x44d04uzb9++DBo0qMgmhplOnYK5c+F//9MubQSW2JJIxoFDgHY5I3UJa+x+X2jIMIUQQohCkecexWrVqvH777/Tu3dvGjZsSPfu3fH09OT48eOsWrUqP2Jk7ty5eHh4YG1tTePGjTl06NAz669atYqaNWtibW2Nr68vmzdv1js/adIkatasSYkSJShdujRt2rQpsN68jh216yiWKJH1+bJly7Jz5066d++ORqPRlV+8eLFA4nmUoiicPXuWqVOn0qhRIypVqsTYsWM5duwY5ubmdOrUiT/++IMbN24wd+7cIp0kKgp07pCOry/Mn69NEr28YPaUu9xo9TqBM21yvCOPEEIIYfKUPNq/f7+SmJioLFu2TLG0tFT279+f11vq+f333xVLS0tl8eLFyunTp5XBgwcrDg4OSnR0dJb19+3bp6jVauXbb79Vzpw5o4wfP16xsLBQTp48qauzbNkyJSgoSLl06ZJy6tQpZdCgQYqdnZ0SExOT5T3j4+MVQImPj39YmJqqKGlp+fY509PTlRkzZiiTJk1SJk2apNjY2CiDBg1Szpw5k2/voSiKcvfuXeWvv/5S3nvvPaVq1aoKoDtUKpXSvHlzZd68eUpsbGy+vq8xunNH//XQGsGKmlTlFY8jyvbtipKRYZi4RPERERGhAMoff/yhBAYGKkeOHDF0SEKIIiDLvCWX8pwoqlQqRa1WK9WrV1dKlSqlvPTSS8rGjRuViIiIPAenKIrSqFEjZfjw4brX6enpipubmxIYGJhl/V69eimdOnXSK2vcuLHyzjvvPPU9Mr/Qbdu2PfO87gtv3lxRzM0V5cCBbH2GVasU5b33FOXq1WfXS0lJ0SWKFhYWugSuadOmyvTp05UTJ04o6enp2XpPRVGU5ORkJSwsTFm6dKkybNgwxc/PT1Gr1XrJoaWlpdK2bVtl3rx5ys2bN7N9b1N2/LiiDBqkKNZW6UrIPwm68si1h5QId39FmTPHgNGJ4iQzUezRo4cCKLNmzTJ0SEKIIiA/E8U8j1GMi4vjxIkTHD9+XHf07NmT5ORkSpcuze3bt3N9b41GQ2hoKOPGjdOVmZmZ0aZNG0JCQrK8JiQkhDFjxuiVBQQEsG7duqe+x8KFC7G3t6dO5jTlp0hISADAVlEwT0sj9cwZLBo3fu7n+P57OHgQGjWC119/bnUAtm3bxowZM1i/fj379+9n//79AJQsWRJvb288PDxwcXGhZMmSWFpaotFoSEpKIjY2lqioKP7991+uXbtGenr6E/f29PSkdevWtGvXjrZt21KyZMnsBWXCMjJg82btmNGHG8eY8VfgGZq01f4Zlu/aAF7eI7OWRYFJSUkhJSVF9/revXsAWFhYANolqBISErCyssLKysogMQohTM/jbUtmvpIf8pwo2tvb07x5c5pn7lsGZGRkcO7cuTzv1nLr1i3S09N12wZmcnZ25uzZs1leExUVlWX9qKgovbKNGzfSp08fkpKScHV1JSgoCEdHx2fG4+7uDkB1IBEYfOUKE7PxOZo21SaKe/ZkP1Fs0qQJa9eu5fr166xZs4aNGzeyb98+7t+/z6FDh547TjOTg4MDtWvXxs/Pj6ZNm+Lv719s9loGSE2FxYthxvQMzp3XDslVq+EVv8uMPPomTes3Bv5L9lUqSRJFgQoMDGTy5MlPlK9cuRKAKVOmMGXKFCZOnMikSZMKOTohhKl6WtuSH/KcKD5qxowZunX2atasiZeXV37ePl+1atWKsLAwbt26xaJFi+jVqxcHDx7EycnpqddERERgZ2ene53df/G3aAEzZsCuXTmPs3z58rz33nu89957pKamcuHCBc6cOUNkZCRRUVE8ePAAjUaDpaUlNjY2ODo64uzsTOXKlalSpQqurq7FYx/up1CpIPDTBK7escO+RCpDhlkwYgRUdHaDW8uhfHlDhyiKkXHjxuk98bh+/Tre3t6MGjWKWbNmMXjwYL7//nvpTRRC5MjjbUtCQoKucyuv8jVRrFu3LgCffvop586dw9ramlq1auHr64uPjw+dO3fO0f0cHR1Rq9VER0frlUdHR+Pi4pLlNS4uLtmqX6JECapVq0a1atVo0qQJnp6e/Pzzz3qPuR9nZ2enlyhmV/Pm2oTl3DmIioKnhP5cFhYWeHt74+3tnbsbFAMXLsCiRfDVV2BhAebm8EWTLdzdvI+Bre9Q6tvf/qtpJUmiKHSPP1LOfDxUtmxZAJKTk3PVxgghireCHK6S5+VxHtWqVSsA/vrrL86ePcvevXsZOXIkjo6ObNu2Lcf3s7S0pH79+gQHB+vKMjIyCA4Oxt/fP8tr/P399eoDBAUFPbX+o/d99Pn+M2k0MG8ejBihfbb5HGXKPNyl5eH4OJGfDh3SroNeo4bCd9/Bypk3defe+OlFRv7akFKrlxgwQiGerlSpUkD+jisSQoj8kKseRX9/f+rVq0fdunWpW7cutWvXznL7tpIlS9K4cWMaZ2PCx9OMGTOGAQMG0KBBAxo1asTMmTNJTExk4MCBALzxxhuUL1+ewMBAAEaNGkWLFi2YNm0anTp14vfff+fIkSMsXKhdIDkxMZGvvvqKLl264Orqyq1bt5g7dy7Xr1+nZ8+e2QvK3Bw++gju34dhwyAbPXxt20JYGPz9N/Ttm6uvQjxGUSAoCAIDYefOzFIVndlAjb3HYex4bZGrK/Tvb6AohXi+zEQxc3KLEEIYi1wlip06deLEiRNMmzaNS5cuoVKp8PT01CWOmcezxvtlV+/evYmNjWXChAlERUVRt25dtm7dqpuwcu3aNczMHnaMNm3alOXLlzN+/Hg+/fRTPD09WbduHT4+PgCo1WrOnj3L0qVLuXXrFmXLlqVhw4bs2bOHWrVqZS8oMzMYMkT7bPNpK2k/pl07+O47uHw5Z59fZC0hAVq1gqNHta8tLKBfP/iwTRi1fp0DH443bIBC5EDm42bpURRCGBuVouRtu4lDhw7RrVs3XnjhBSwsLDh27Bhnz55FpVLh7OzMjRs38itWg0lISMDe3p74+Phcjx9KSYEbN6By5afX0Wg0up7RcePGYWlpmav3KqoUBb19lVu5X+BQpBtDXjzLmN/qk0/jdoUoNJGRkbi7u7NlyxY6dOiAp6cn58+fN3RYQggTlx95S6Y8j1EcOnQoc+fO5Y8//mDZsmWcOXOGjRs34urqqns8LMDK6tlJoni65GT48UeoVQtiYx+WLxh6nKt4MKP2L5IkCpOW+eg5Pj7ewJEIIYS+PCeK4eHhutnOmTp27MiPP/6oWyS6yEpPh5Mntas550B258wUd4mJ2gWyK1eG4cMhPBzmfXhJd7762K44ntkNs2cbMEoh8i7zX/ySKAohjE2eE8WGDRuydOnSJ8p9fX2zvSi0ScrIADc3qF0bsvmoKD0devaEsmVlrOKz3LsHU6eChwd88IF2SSH3UnHMYThjz739sKKFBRjxWp1CZJe9vT2g3V0hOTnZwNEIIcRDeU4Up0+fzowZMxg4cCAnTpwgIyOD5ORkpk2b9tydTkyamRlUrw6lSsGVK9m6RK2GuDhtT9nvvxdseKYqORlq1IBPPoFbt6BKFfjpJ7h4KoXh/eKxWfKjoUMUIt/Z2dnpFsa/e/euYYMRQohH5DlRrF+/PgcPHiQiIoK6detiY2NDqVKl+Pnnn3UTM4qs1au1mV/79tm+JHNpnBUrCigmE/TgwcPfra2ha5UTVOccv7ZczLlzMGgQWFZ0gd9+kx5EUSSZmZnpHj9LoiiEMCb5suB2zZo12bZtG1euXGHVqlWsXbuWf//9l9deey0/bm+8nJ1zvDdwjx5gaakd2pi5tEtxFR8PX3yh3SDl2LGH5d9OTOIM3vQvtQ5zs5yN/xTCVJUuXRqAuLg4A0cihBAP5TpRnDBhAqGhoXplFStWpEuXLnTu3BlXV9c8B1cUlS6tTRZB+0i1OMpMED08YOJEbafs4rFndOdLtW2C+uRxWL9e+4hfiGIgM1GUHkUhhDHJ9d/CkZGRdOjQgQoVKjB06FC2bNmCRqPJz9hMwy+/aDdzXrYs25e8/d98jGXLtBM3iov4eJgy5WGCePcueLveYSW9mHWytXbwZqb/FkgXoriQHkUhhDHKdaK4ePFioqKiWLFiBaVKlWL06NE4Ojryyiuv8Ouvv3Lnzp38jNN4XbwIe/fCxo3ZvqRVK+2EjYQEWFJMth9WFGjaFCZM+C9B9IaVK+HkvyXpFZCA2Q8zwcbG0GEKYTBlypQBKD5tpxDCJORqC79MZmZmNG/enObNm/Ptt98SHh7Ohg0bWLBgAYMHD6Zx48Z06dKFvn37Ur58+fyK2bj06QMVKkDHjtm+xMxM26N27Rq8/noBxmZgCQnaHQ7Vau2OKkM6X2fBvylM9PiVV49PRG2uAixh61ZDhyqEwUmiKIQwRvk6AMzLy4uPPvqIffv2ERkZyYABA9izZw8rivIUXx8fePddqFgxR5f17Qsffwz//d1QpCQkwFdfaR8xr179sHzYOxmcVHzpfX066qv/Giw+IYxRZqJ4+/ZtA0cihBAP5alH8Wm++uorateuTevWrRk0aFBBvEWRkp6ufTRr6hIStJukTJumnaACsOL7SHr3rgCARRV3+GMF+PtDuXIGjFQI41O2bFlAEkUhhHEpkCmlrq6uBAcH89Zbb1GjRg0++ugj0tLSCuKtjENaGmzeDEOHarO+HNizB/z8tHsZm6q7d7WzmCtVgvHjtUlizaoallsM4M/jnvrb0HTpIkmiEFnI3KDg1q1bBo5ECCEeKpBEsVKlSnz22Wds376d8PBwHB0d+fLLLwvirYxDRgb07w/z50NwcI4uDQ+HEye0YxZN9e+HPn0ezmKuWROWL4dTZy3o2+IG6iYNtdutCCGeKTNRlB5FIYQxKZBEceXKlbz88st4enrSoUMHoqKiWLZsGSdOnCA1NbUg3tKwLC1h2DB47z2oXDlHlw4aBHXrapOsMWMKJLp8d/OmNt5Mo0cp+FSMZ6Xvl5w6kkzfvmgnqvz5J+zaJbupCJEN5f7raY+NjTVwJEII8VCBJIozZszgwIEDnD9/nh9//JGmTZty584dJk2aRJ06dQriLQ1vyhT44Qfw9MzRZWq1duFttRrWrCmg2PLJpUvap+uVK8PMmQ/LA1okczzNh14nP0e9aP7DE3Z22unOQojnkkRRCGGMCmQyS+PGjcnIyKBWrVpUr16d06dP07t3b3405YF4Bah+ffjsMzDWrbGPHIHvvtPOYM74b0e9I3uTAWsAVLY2qL6bqn2OLpOXhMiVzEQxKSmJ+/fvU7JkSQNHJIQQeUgUhwwZwvTp07NszE6dOkVKSgrh4eGcP3+e+vXr07lz5zwFajKuXIGFC7WD9qyssn3Z55/D/v0PX0dF5XjFnXy3cSN8+612wk2mDh0UPi41jxfXjIYdf2tXDwco6vt6C1HASpYsibW1NcnJycTGxkqiKIQwCrl+9Pzzzz+TlJT01PNWVlbUrVuXXr160aNHDywtLXP7VqYjIwNattR2Df7yS44uNTeHpUsfvi5VKl8jy5X167VJork59OsHx4/D5s0qWpQ7gyotNUe70Qghnk2lUuHk5ARATEyMgaMRQgitXPcoKkVh4b/8ZmYG778Pa9dCvXo5vvy/SY+AdkeTwqIo2oTw559h+HBo1Ehb/v77ULZ0BiPKraR8v5bg6qo9MWECdOsGbdoUXpBCFAPOzs5cu3aNqKgoQ4cihBBAAY1RLNZGjICRI/NlEoeiwODB0LixduifWT5PPTp/HlasgN9+025Znfmev/6q/d3LCwKjBsK3v8KFIbBggfaEk5MkiUIUABcXFwCio6MNHIkQQmjlOvVQqVSoZEbrkzI3Ns4HGzZoe/mGDIEXXtAu0ZjXjtzUVO3i2H5+UKMGTJqkTRJLloS339b2KOq9yeDBULYs1KqVtzcWQjxXZqJ48+ZNA0cihBBaeXr0/Oabb2L1nAkba4x9zZeCkp6u3W7l8GHt4MNcJI+dOsH332uTuZAQbSeej492n+gOHcDXVzt+8GkSE7XjCqOjoXt3bZmFhbYH8cIFbU7btq32fj16QMmzR+CTT+CVV7Tr4IA2Q712DWxtc/4dCCFyxPW/4R2SKAohjEWuE8UBAwbkZxxFz4UL8MEH2i68116D9u1zfAu1WnuLPn3gm2+0vYunTmmX0vnsMzh7VtsrCDBnjnac4f37cOeOdvJ15jAnW1vttnqZ84k++0ybx7788mO76R06pO22vHRJ242pVj+8gRCiwEmiKIQwNrlOFJcsWZKfcRQ9NWvC1KnaLryAgDzdqnx5mD0bJk/WzpP58084dw6qV39YZ88e+OOPJ691ddU+Zo6N1d4HQJfjHzwIERbaCqAdCHnxIowa9TBJFEIUGjc3NwBu3Lhh4EiEEEJLJrMUpPffz9fblSmjzeUGDdIOI3z0afabb0KzZtpldeztoVIl8PDQDi/M0pw52i0HW7aEHTu0ZVZWMH16vsYshMi+8v/9a+769esGjkQIIbQkUSwsqakwbpw2eczs2suDx4c8duigPZ75/omJ4OCgfd21K3z8sTabTEnJ0eLgQoiCkZkoRkdHk5aWhvmzBiELIUQhKJC9nkUWRo+GadO02VzmPniFZcMGqFJFm6hmcneHyEhYskSSRCGMhJOTE+bm5mRkZMg4RSGEUZBEsbB89JF23OLXX+f/goiPS0+H5OSHr+3stEnh1q2QlvawvHTpgo1DCJEjZmZmVKhQAYBr164ZOBohhJBEsfBUqgQnTsCje17v3g3HjuXv+/z8s/Zx8qxZD8tefBFWroTw8GevpyOEMDh3d3cAIiIiDByJEEJIoli4LCwe/q7RwMCB2hnHW7bk7n43bmi3Vrlz52GZomh7D//662GZSgW9eoG1de7eRwhRaCpWrAjA1atXDRyJEEJIomg49+5BkybaySUvvvjk+UOHHv5+9+7DvfYe1aWLdo3GzFnLoF05+88/Yfv2gohaCFHAKlWqBEiiKIQwDvIc0lDKloVly7QrYZco8eT5sDDtrigA169rE0InJ3j99Yd1GjV6cp2cMmW0yaIQwiR5eHgAcOXKFYPGIYQQIImi4T1tQkmdOg9/t7eHFi20q2c/mhjOnZtv+0oLIYxDZqJ4+fJlwwYihBBIomi8Gjd++HuFCrBz55N1JEkUosipUqUKoO1RzMjIwKygV0kQQohnMIkWaO7cuXh4eGBtbU3jxo059Oj4vSysWrWKmjVrYm1tja+vL5s3b9adS01N5eOPP8bX15cSJUrg5ubGG2+8IVtmCSGMQsWKFVGr1SQnJ8taikIIgzP6RHHlypWMGTOGiRMncvToUerUqUNAQAAxMTFZ1t+/fz99+/Zl0KBBHDt2jG7dutGtWzdOnToFQFJSEkePHuXzzz/n6NGjrFmzhnPnztGlS5fC/FhCCJElCwsL3YSWS5cuGTgaIURxZ/SJ4vTp0xk8eDADBw7E29ub+fPnY2try+LFi7OsP2vWLNq3b8/YsWPx8vJiypQp+Pn5MWfOHADs7e0JCgqiV69e1KhRgyZNmjBnzhxCQ0NlgVshhFGoVq0aABcuXDBwJEKI4s6oxyhqNBpCQ0MZ98jWc2ZmZrRp04aQkJAsrwkJCWHMmDF6ZQEBAaxbt+6p7xMfH49KpcIhcx/kp0hISNB7bWVlhZVsfyeEyKaUlBRSUlJ0r+/duwc82bZkjlOURFEIkR2Pty2Ptyl5YdQ9irdu3SI9PR1nZ2e9cmdnZ6KiorK8JioqKkf1k5OT+fjjj+nbty92dnbPjMfd3R17e3vdERgYmINPI4Qo7gIDA/XaEG9vb+DJtiVzaZzz588bMFohhKl4vG3J3OEpPxh1oljQUlNT6dWrF4qiMG/evOfWj4iIID4+Xnc82tMphBDPM27cOL025MyZM8CTbcvw4cMBCA8PN2S4QggT8Xjbkp9bgBr1o2dHR0fUajXR0dF65dHR0bi4uGR5jYuLS7bqZyaJV69eZfv27c/tTQSws7PLVj0hhMjK48NVMh8PPd621K5dG4CLFy+SmpqKxaPbfwohxGMKciicUfcoWlpaUr9+fYKDg3VlGRkZBAcH4+/vn+U1/v7+evUBgoKC9OpnJokXLlxg27ZtlC1btmA+gBBC5IK7uzslSpQgLS2NixcvGjocIUQxZtSJIsCYMWNYtGgRS5cuJTw8nKFDh5KYmMjAgQMBeOONN/QeAY8aNYqtW7cybdo0zp49y6RJkzhy5AgjRowAtEniq6++ypEjR1i2bBnp6elERUURFRWFRqMxyGcUQohHqVQq3fjFzMfTQghhCEafKPbu3Zvvv/+eCRMmULduXcLCwti6datuwsq1a9f0FqVt2rQpy5cvZ+HChdSpU4fVq1ezbt06fHx8ALh+/Trr168nMjKSunXr4urqqjv2799vkM8ohBCPy2yzTp48aeBIhBDFmVGPUcw0YsQIXY/g43ZmsbVdz5496dmzZ5b1PTw8UBQlP8MTQoh85+vrC8CJEycMHIkQojgz+h5FIYQojurUqQPA8ePHDRyJEKI4k0RRCCGMUGai+O+//xIfH2/gaIQQxZUkikIIYYTKli1LxYoVAQgLCzNsMEKIYksSRSGEMFJ+fn4AhIaGGjgSIURxJYmiEEIYqYYNGwJw+PBhA0cihCiuJFEUQggjlZkoHjx40MCRCCGKK0kUhRDCSDVq1AiVSsXly5eJiYkxdDhCiGJIEkUhhDBS9vb2eHl5ARASEmLgaIQQxZEkikIIYcSaNWsGwN69ew0ciRCiOJJEUQghjNgLL7wAwO7duw0ciRCiOJJEUQghjFiLFi0A7RI59+7dM3A0QojixiT2ehZCFBxFUUhLSyM9Pd3QoRQ5arUac3NzVCpVru9RqVIlKleuzOXLl9mzZw8dO3bMxwiFEOLZJFEUohjTaDTcvHmTpKQkQ4dSZNna2uLq6oqlpWWu79G6dWt++ukntm3bJomiEKJQSaIoRDGVkZHB5cuXUavVuLm5YWlpmaeeL6FPURQ0Gg2xsbFcvnwZT09PzMxyN9qnbdu2/PTTT/zzzz/5HKUQQjybJIpCFFMajYaMjAzc3d2xtbU1dDhFko2NDRYWFly9ehWNRoO1tXWu7tOmTRvMzMw4ffo0165d0+0BLYQQBU0mswhRzOW2l0tkT358v2XKlKFJkyYAbN68Oc/3E0KI7JK/IYQQwgR07twZgPXr1xs4EiFEcSKJohBCmIAuXboAEBwcTEJCgoGjEUIUF5IoCiGKpV9++QUHBwdDh5Ft3t7eVK9eHY1Gw6ZNmwwdjhCimJBEUQhRZLz55pt069YtW3V79+7N+fPns31vDw8PZs6cmbvA8oFKpeLVV18FYOXKlQaLQwhRvEiiKIQodlJTU7GxscHJycnQoeRInz59ANiyZQt37twxcDRCiOJAEkUhhL7ERO2hKA/LNBptWUpK1nUzMh6WpaZqy5KTs1c3F1avXo2vry82NjaULVuWNm3aMHbsWJYuXcpff/2FSqVCpVKxc+dOrly5gkqlYuXKlbRo0QJra2uWLVuW5aPnDRs20LBhQ6ytrXF0dKR79+4AtGzZkqtXr/L+++/r7m0Ivr6++Pr6otFoWLVqlUFiEEIUL5IoCiH0lSypPW7delj23XfashEj9Os6OWnLr117WDZ3rrZs0CD9uh4e2vLw8Idlv/yS4/Bu3rxJ3759eeuttwgPD2fnzp306NGDiRMn0qtXL9q3b8/Nmze5efMmTZs21V33ySefMGrUKMLDwwkICHjivps2baJ79+507NiRY8eOERwcTKNGjQBYs2YNFSpU4IsvvtDd21DeeOMNAJYsWWKwGIQQxYcsuC2EMCk3b94kLS2NHj16UKlSJUDb0wbaBa5TUlJwcXF54rrRo0fTo0ePp973q6++ok+fPkyePFlXVqdOHUC7jqFaraZUqVJZ3rsw9e/fn3HjxnHw4EFOnjyp++xCCFEQpEdRCKHv/n3t4ej4sGzsWG3ZnDn6dWNitOWP7hQyfLi27Oef9eteuaIt9/J6WPbmmzkOr06dOrRu3RpfX1969uzJokWLiIuLe+51DRo0eOb5sLAwWrduneN4CpuzszNdu3YFYP78+QaORghR1EmiKITQV6KE9nh0HJ6lpbbMyirruo/uPmJhoS17fLu6p9XNIbVaTVBQEFu2bMHb25vZs2dTo0YNLl++/JyPVeKZ521sbHIci6EMGzYMgF9//ZX4+HgDRyOEKMokURRCmByVSkWzZs2YPHkyx44dw9LSkrVr12JpaUl6enqu7lm7dm2Cg4Ofej4v985vrVq1olatWty/f5+ffvrJ0OEIIYowSRSFECbl4MGDfP311xw5coRr166xZs0aYmNj8fLywsPDgxMnTnDu3Dlu3bpFag5mVU+cOJEVK1YwceJEwsPDOXnyJFOnTtWd9/DwYPfu3Vy/fp1bj070MQCVSsX7778PwIwZM9BoNAaNRwhRdEmiKIQwKXZ2duzevZuOHTtSvXp1xo8fz7Rp0+jQoQODBw+mRo0aNGjQgHLlyrFv375s37dly5asWrWK9evXU7duXV566SUOHTqkO//FF19w5coVqlatSrly5Qrio+XI66+/jpubG9evX2fp0qWGDkcIUUSpFOXRxdJEVhISErC3tyc+Ph47O7sCex+NRkNgYCAA48aNw9LSssDeS4jk5GQuX75M5cqVsX58PKHIN8/6niMjI3F3d8912zJz5kzef/99KlWqxPnz56XNEEIA+Zu3SI+iEEKYqHfeeQdXV1euXr3KggULDB2OEKIIkkRRCCFMlI2NDRMnTgS0j8bv3r1r2ICEEEWOJIpCCGHCBg0aRM2aNbl165beYuFCCJEfJFEUQggTZm5uzqxZswCYPXs2x48fN3BEQoiiRBJFIYQwce3ateOVV14hPT2dwYMHk5aWZuiQhBBFhEkkinPnzsXDwwNra2saN26st2RFVlatWkXNmjWxtrbG19eXzZs3651fs2YN7dq1o2zZsqhUKsLCwgoweiGEKHg//PAD9vb2HD58mO+++87Q4QghigijTxRXrlzJmDFjmDhxIkePHqVOnToEBAQQExOTZf39+/fTt29fBg0axLFjx+jWrRvdunXj1KlTujqJiYm88MILeovpCiGEKXNzc9M9gp44cSKHDx82cERCiKLA6BPF6dOnM3jwYAYOHIi3tzfz58/H1taWxYsXZ1l/1qxZtG/fnrFjx+Ll5cWUKVPw8/Njzpw5ujr9+/dnwoQJtGnTprA+hhBCFLg33niDV155hdTUVPr06UNcXJyhQxJCmDijThQ1Gg2hoaF6CZ2ZmRlt2rQhJCQky2tCQkKeSAADAgKeWj8nEhIS9I6UlJQ831MIUXykpKTotSH37t0D8q9tUalULFq0CA8PD/7991/69etnNPtTCyEKzuNtS0JCQr7d26gTxVu3bpGeno6zs7NeubOzM1FRUVleExUVlaP6OeHu7o69vb3uyNxFRQhhOjw8PJg5c6ZB3jswMFCvDfH29gbyt20pXbo0a9aswdrami1btjB27Nj8Cl8IYaQeb1vc3d3z7d5GnSgam4iICOLj43XHuHHjDB2SEKIAqFQq1q1bl+/3HTdunF4bcubMGSD/25Z69erp9n+eMWMG06dPz3PsQgjj9XjbEhERkW/3Ns+3OxUAR0dH1Go10dHReuXR0dG4uLhkeY2Li0uO6ueEnZ1dge71LIQwHRqNJsd7K1tZWWFlZaV7nfl4qCDall69enH58mU++eQTPvjgA0qWLMmQIUPy9T2EEMbh8bYlPxl1j6KlpSX169cnODhYV5aRkUFwcDD+/v5ZXuPv769XHyAoKOip9YUQ+hITn34kJ2e/7oMH2aubG6tXr8bX1xcbGxvKli1LmzZtSExMpGXLlowePVqvbrdu3XjzzTf1yu7du0ffvn0pUaIE5cuXZ+7cubpzHh4eAHTv3h2VSqV7PWnSJOrWrctPP/1E5cqVsba2zl3wheijjz7iww8/BLT7Qs+bN8/AEQkhTI1RJ4oAY8aMYdGiRSxdupTw8HCGDh1KYmIiAwcOBLSz/B59TDNq1Ci2bt3KtGnTOHv2LJMmTeLIkSOMGDFCV+fOnTuEhYXpHvucO3eOsLCwfBnHKISpK1ny6ccrr+jXdXJ6et0OHfTrenhkXS+nbt68Sd++fXnrrbcIDw9n586d9OjRA0VRsn2P7777jjp16nDs2DE++eQTRo0aRVBQEIBuWZklS5Zw8+ZNvWVmLl68yJ9//smaNWtMYv1VlUrFt99+q0uehw0bxpQpU3L0XQkhijejfvQM0Lt3b2JjY5kwYQJRUVHUrVuXrVu36iasXLt2DTOzh/lu06ZNWb58OePHj+fTTz/F09OTdevW4ePjo6uzfv16XaIJ0KdPH0C79tikSZMK54MJIXLl5s2bpKWl0aNHDypVqgSAr69vju7RrFkzPvnkEwCqV6/Ovn37mDFjBm3btqVcuXIAODg4PDFkRaPR8Ouvv+rqmAKVSsX06dMpVaoUU6ZMYcKECVy6dIkFCxYU2KMqIUTRYfSJIsCIESP0egQftXPnzifKevbsSc+ePZ96vzfffPOJR1FCCK37959+Tq3Wf/2Ude8BMHvsecWVK7kOSU+dOnVo3bo1vr6+BAQE0K5dO1599VVKly6d7Xs8PhTF398/WzOhK1WqZFJJYiaVSsUXX3yBi4sLI0eO1D2hWbVqFRUrVjR0eEIII2b0j56FEIWrRImnH48Py3tWXRub7NXNKbVaTVBQEFu2bMHb25vZs2dTo0YNLl++jJmZ2ROPVVNTU3P+Jk9RIjcBG5Fhw4axefNmSpcuzaFDh6hbty6rVq0ydFhCCCMmiaIQwuSoVCqaNWvG5MmTOXbsGJaWlqxdu5Zy5cpx8+ZNXb309HS97TszHThw4InXXl5eutcWFhZFdqHqdu3acfToURo2bEhcXBy9evXitddeIzY21tChCSGMkCSKQgiTcvDgQb7++muOHDnCtWvXWLNmDbGxsXh5efHSSy+xadMmNm3axNmzZxk6dCh379594h779u3j22+/5fz588ydO5dVq1YxatQo3XkPDw+Cg4OJiooqktvgeXh4sG/fPj777DPMzMxYsWIFNWvWZP78+UU2QRZC5I4kikIIk2JnZ8fu3bvp2LEj1atXZ/z48UybNo0OHTrw1ltvMWDAAN544w1atGhBlSpVaNWq1RP3+OCDDzhy5Aj16tXjyy+/ZPr06QQEBOjOT5s2jaCgINzd3alXr15hfrxCY2FhwZdffsnBgwepU6cOd+7cYejQodSrV49NmzbJzGghBAAqRVqD50pISMDe3p74+PgCXXBbo9Hotu4aN25cjhfzFSInkpOTuXz5ssmsCWiqnvU9R0ZG4u7uXuBty/OkpaUxf/58Pv/8c10PbJMmTfj888/p0KEDKpXKYLEJIXIuP/MW6VEUQohiztzcnBEjRnDp0iXGjh2LtbU1Bw4coFOnTvj6+vLzzz+TlJRk6DCFEAYgiaIQQggAypQpw7fffsvly5f54IMPKFGiBKdPn+btt9/Gzc2NkSNHEhoaKo+lhShGJFEUQgihx8XFhe+//57IyEi+++47KleuTHx8PLNnz6ZBgwbUqlWLyZMnc/r0aUkahSjiJFEUQgiRJQcHBz788EMuXrzI33//Ta9evbC2tiY8PJxJkybh4+ND9erVGTVqFH///bc8nhaiCJJEUQghxDOZmZnRrl07Vq5cSVRUFEuWLKFz585YWlpy8eJFfvjhB9q3b0/p0qVp2bIlkyZNYtu2bdx/1jY/QgiTYBJb+AkhhDAO9vb2um1Q7927x7Zt29i8eTNbt24lMjKSXbt2sWvXLkCbYHp7e9OoUSMaNGhAnTp1qF27NiVLljTwpxBCZJckikIIIXKlVKlSdO/ene7du6MoChcvXiQ4OJi9e/eyd+9erl69yqlTpzh16hSLFy8GtLvqVKlSBS8vL7y9valZsyaenp54enri5OQkS/EIYWQkURRCCJFnKpVKl/C9++67ANy4cYPDhw9z+PBhjh49yvHjx7lx4waXLl3i0qVLbNy4Ue8eJUuWpHLlynh4eFC5cmXc3d2pUKGC7nBxcZE1P4UoZJIoCiGEKBBubm507dqVrl276spiY2M5ffo0Z86c4cyZM5w7d46LFy9y9epV7t+/z8mTJzl58uRT7+ng4ICrqyvOzs44OTlRrlw5nJyccHR0pGzZspQpU0b308HBATs7O8zMZDi+ELkliaIQQuTBzp07adWqFXFxcTg4OBg6HKNXrlw5WrZsScuWLfXKU1JSuHz5MlevXuXKlStcvnyZiIgIIiMjiYiI4Pr162g0Gu7evcvdu3cJDw/P1vupVCrs7Oywt7fHzs5Od5QqVYpSpUpRsmRJvaNEiRLY2trqHTY2NtjY2GBtba373crKCktLS3lULoo8SRSFECanZcuW1K1bl5kzZxo6FJFPrKysqFmzJjVr1szyvKIoxMXFERUVxc2bN4mOjiY2NpbY2FhiYmK4ffs2t2/f5s6dO9y+fZu4uDgePHiAoijEx8cTHx9fYHFbW1tjZWWlOywtLZ/4aWFhgYWFhe73zJ/m5ua6c5m/m5ubP/VQq9Wo1eqn/p55mJmZPbXMzMzsmb9n51CpVFm+fvTno4cwXZIoCiGEMHoqlYoyZcpQpkwZvL29s3VNSkoK8fHxul7Ie/fukZCQQEJCAvHx8SQmJnL//n3u37/PvXv3uH//PklJSbojMTGRpKQkkpOTefDgAQ8ePCA5OfmJ90hJSSmIj1ykPJo8Pu33pyWZ+XEA2S7PLHv0XFa/P6sst/WfV+d512X+TEtLy/Wf1eMkURRCANoeG0MtmGxra5vtXoc333xTtwTLrFmzAFiyZAmjR4/m7t27unrr1q3TzcYFmDRpEuvWreODDz7g888/Jy4ujg4dOrBo0SJKlSoFQEZGBlOnTmXhwoVERUVRvXp1Pv/8c1599VXdfTdv3szo0aOJiIigSZMmDBgwIJ++BZHfrKyscHJywsnJKd/uqSiKLjlMTk5+4qdGo0Gj0ZCSkqL7mZqaikajyfJnWlraU3+mp6eTlpamO1JTU0lPT9cdmXUe/z0jI0Ov3qPlmeey+vm0Q1EU0tPT8/S9ZWRk5NOfgChskigKIQBISkoy2Pp29+/fp0SJEtmqO2vWLM6fP4+Pjw9ffPEFAJs2bcrWtZcuXWLdunVs3LiRuLg4evXqxTfffMNXX30FQGBgIL/99hvz58/H09OT3bt38/rrr1OuXDlatGhBREQEPXr0YPjw4QwZMoQjR47wwQcf5O5DC5OkUqmwtrbG2toae3t7Q4dTqBRFQVEUvQTy8YTy8Z9ZlT167ml1n3Zkdf7R2LI6nnY+q/JHyx4//7Rzmb8//vNZ53LzMyd1k5KSGDp0aC7+lJ8kiaIQwqTY29tjaWmJra0tLi4uAKjV6mxdm5GRwS+//KLrQezfvz/BwcF89dVXpKSk8PXXX7Nt2zb8/f0BqFKlCnv37mXBggW0aNGCefPmUbVqVaZNmwZAjRo1OHnyJFOnTi2ATyqEcXn08bAwbgkJCZIoCiHyl62trcG2XLO1tS2U9/Hw8NAliQCurq7ExMQAcPHiRZKSkmjbtq3eNRqNhnr16gEQHh5O48aN9c5nJpVCCFEUSaIohAC0vQXZffxrbMzMzPQezwCkpqY+Uc/CwkLvtUql0o2dykySN23aRPny5fXqWVlZ5We4QghhMiRRFEKYHEtLS73B9eXKlePevXskJibqkt2wsLAc3dPb2xsrKyuuXbtGixYtsqzj5eXF+vXr9coOHDiQs+CFEMKESKIohDA5Hh4eHDx4kCtXrlCyZEkaN26Mra0tn376KSNHjuTgwYP88ssvObpnqVKl+PDDD3n//ffJyMjghRdeID4+nn379mFnZ8eAAQN49913mTZtGmPHjuXtt98mNDQ0x+8jhBCmREakCiFMzocffoharcbb25ty5cqRkJDAb7/9xubNm/H19WXFihVMmjQpx/edMmUKn3/+OYGBgXh5edG+fXs2bdpE5cqVAahYsSJ//vkn69ato06dOsyfP5+vv/46nz+dEEIYD5Xy+MAe8YSEhATs7e2Jj4/Hzs6uwN5Ho9EQGBgIwLhx47C0tCyw9xIiOTmZy5cvU7lyZaytrQ0dTpH1rO85MjISd3f3Am9bhBDFS37mLdKjKIQQQgghsiSJohBCCCGEyJIkikIIIYQQIkuSKAohhBBCiCxJoihEMSfz2QqWfL9CCFMmiaIQxVTmLiVJSUkGjqRoy/x+H98VRgghTIEsuC1EMaVWq3FwcNDtdWxra4tKpTJwVEWHoigkJSURExODg4MDarXa0CEJIUSOSaIoRDHm4uICoEsWRf5zcHDQfc9CCGFqJFEUohhTqVS4urri5OREamqqocMpciwsLKQnUQhh0mSMYjakpKTo/TQlKSkpTJo0yeRiN9W4wTRjV6vVqFQqvvnmG1QqFdbW1iZ1GGvsz0sS7927B0jbUphMNW4w3dhNNW4w3djzM28xiURx7ty5eHh4YG1tTePGjTl06NAz669atYqaNWtibW2Nr68vmzdv1juvKAoTJkzA1dUVGxsb2rRpw4ULF556P1NPFCdPnmxysZtq3GC6sZtq3GC6sd+/fx+QtqUwmWrcYLqxm2rcYLqxF6tEceXKlYwZM4aJEydy9OhR6tSpQ0BAwFPHVO3fv5++ffsyaNAgjh07Rrdu3ejWrRunTp3S1fn222/54YcfmD9/PgcPHqREiRIEBASQnJxcWB9LCCGEEMLoGX2iOH36dAYPHszAgQPx9vZm/vz52Nrasnjx4izrz5o1i/bt2zN27Fi8vLyYMmUKfn5+zJkzB9D2Js6cOZPx48fTtWtXateuza+//sqNGzdYt25dIX4yIYQQQgjjZtSTWTQaDaGhoYwbN05XZmZmRps2bQgJCcnympCQEMaMGaNXFhAQoEsCL1++TFRUFG3atNGdt7e3p3HjxoSEhNCnT58n7pm5YO7Nmzf1yq2srLCyssrVZ8uKRqPR9WomJCRgaWmZ53smJCTo/TQVpho3mG7spho3mE7sKSkpeo+CoqKigIJvWwqCqXznjzPVuMF0YzfVuMF0Yn+8bclsU/JjwX+jThRv3bpFeno6zs7OeuXOzs6cPXs2y2uioqKyrJ/ZIGf+fFadx2XOBm3UqFHOP0QuffPNN/l6P3d393y9X2Ex1bjBdGM31bjBdGMvzLYlv5nqd26qcYPpxm6qcYPpxp4fq1kYdaJoLDw8PLh06RIWFhZ6CxKbwr/6hRDG4/F/9aenp/Pvv/9SpUoVvRnS0rYIIXLi8bZFURRSU1Px8PDI872NOlF0dHRErVYTHR2tVx4dHf3UBWxdXFyeWT/zZ3R0NK6urnp16tatm+U9zczMqFKlSm4/hhBCPFWlSpUMHYIQQjyVUU9msbS0pH79+gQHB+vKMjIyCA4Oxt/fP8tr/P399eoDBAUF6epXrlwZFxcXvToJCQkcPHjwqfcUQgghhCiOjLpHEWDMmDEMGDCABg0a0KhRI2bOnEliYiIDBw4E4I033qB8+fIEBgYCMGrUKFq0aMG0adPo1KkTv//+O0eOHGHhwoWAdieK0aNH8+WXX+Lp6UnlypX5/PPPcXNzo1u3bob6mEIIIYQQRsfoE8XevXsTGxvLhAkTiIqKom7dumzdulU3GeXatWuYmT3sGG3atCnLly9n/PjxfPrpp3h6erJu3Tp8fHx0dT766CMSExMZMmQId+/e5YUXXmDr1q1YW1sX+ucTQgghhDBainiuOXPmKJUqVVKsrKyURo0aKQcPHjR0SM/09ddfKw0aNFBKliyplCtXTunataty9uxZQ4eVY4GBgQqgjBo1ytChZEtkZKTSr18/pUyZMoq1tbXi4+OjHD582NBhPVdaWpoyfvx4xcPDQ7G2tlaqVKmifPHFF0pGRoahQ9Oza9cupXPnzoqrq6sCKGvXrtU7n5GRoXz++eeKi4uLYm1trbRu3Vo5f/68YYLNJmlbDEPalsIhbUvBe1bsGo1G+eijjxQfHx/F1tZWcXV1Vfr3769cv349R+9h1GMUjUFOd4YxBrt27WL48OEcOHCAoKAgUlNTadeuHYmJiYYOLdsOHz7MggULqF27tqFDyZa4uDiaNWuGhYUFW7Zs4cyZM0ybNo3SpUsbOrTnmjp1KvPmzWPOnDmEh4czdepUvv32W2bPnm3o0PQkJiZSp04d5s6dm+V5U9txSdoWw5C2pfBI21LwnhV7UlISR48e5fPPP+fo0aOsWbOGc+fO0aVLl5y9ST4nt0VOo0aNlOHDh+tep6enK25ubkpgYKABo8qZmJgYBVB27dpl6FCy5d69e4qnp6cSFBSktGjRwiT+1f/xxx8rL7zwgqHDyJVOnTopb731ll5Zjx49lH79+hkooufjsX85Z2RkKC4uLsp3332nK7t7965iZWWlrFixwgARPp+0LYVP2pbCJW1L4Xo89qwcOnRIAZSrV69m+77So/gMmTvDPLqLy/N2hjFG8fHxAJQpU8bAkWTP8OHD6dSpk973buzWr19PgwYN6NmzJ05OTtSrV49FixYZOqxsadq0KcHBwZw/fx6A48ePs3fvXjp06GDgyLLveTsuGRtpWwxD2pbCJW2L8YmPj0elUuHg4JDta4x+Mosh5WZnGGOTkZHB6NGjadasmd6EHmP1+++/c/ToUQ4fPmzoUHLk33//Zd68eYwZM4ZPP/2Uw4cPM3LkSCwtLRkwYIChw3umTz75hISEBGrWrIlarSY9PZ2vvvqKfv36GTq0bMvNjkuGJG1L4ZO2pfBJ22JckpOT+fjjj+nbty92dnbZvk4SxSJu+PDhnDp1ir179xo6lOeKiIhg1KhRBAUFmdwM9IyMDBo0aMDXX38NQL169Th16hTz5883+sb8jz/+YNmyZSxfvpxatWoRFhbG6NGjcXNzM/rYheFI21I4pG0R+SE1NZVevXqhKArz5s3L0bXy6PkZcrMzjDEZMWIEGzduZMeOHVSoUMHQ4TxXaGgoMTEx+Pn5YW5ujrm5Obt27eKHH37A3Nyc9PR0Q4f4VK6urnh7e+uVeXl5ce3aNQNFlH1jx47lk08+oU+fPvj6+tK/f3/ef/993dqkpuDRHZceZaz/r0rbUrikbTEMaVuMQ2aSePXqVYKCgnLUmwiSKD5TbnaGMQaKojBixAjWrl3L9u3bqVy5sqFDypbWrVtz8uRJwsLCdEeDBg3o168fYWFhenvhGptmzZpx7tw5vbLz58+bxPZsSUlJemuRAqjVajIyMgwUUc6Z2o5L0rYULmlbDEPaFsPLTBIvXLjAtm3bKFu2bM5vkpcZNsXB77//rlhZWSm//PKLcubMGWXIkCGKg4ODEhUVZejQnmro0KGKvb29snPnTuXmzZu6IykpydCh5ZipzEw8dOiQYm5urnz11VfKhQsXlGXLlim2trbKb7/9ZujQnmvAgAFK+fLllY0bNyqXL19W1qxZozg6OiofffSRoUPTc+/ePeXYsWPKsWPHFECZPn26cuzYMd3svW+++UZxcHBQ/vrrL+XEiRNK165dlcqVKysPHjwwcORZk7bFsKRtKXjSthS8Z8Wu0WiULl26KBUqVFDCwsL0/p9NSUnJ9ntIopgNs2fPVipWrKhYWloqjRo1Ug4cOGDokJ4JyPJYsmSJoUPLMVNpzBVFUTZs2KD4+PgoVlZWSs2aNZWFCxcaOqRsSUhIUEaNGqVUrFhRtyjuZ599lqOGpDDs2LEjy/+uBwwYoCjKw0VxnZ2dFSsrK6V169bKuXPnDBv0c0jbYjjSthQ8aVsK3rNiv3z58lP/n92xY0e230OlKIqS835IIYQQQghR1MkYRSGEEEIIkSVJFIUQQgghRJYkURRCCCGEEFmSRFEIIYQQQmRJEkUhhBBCCJElSRSFEEIIIUSWJFEUQgghhBBZkkRRCCGEEEJkSRJFIXKgZcuWjB492tBhCCGKGGlbhLGSRFGIfDZ58mQqVKiASqV65rFz505DhyqEMCHStghDMDd0AEIUNX/99RfTp0/nxRdf1JWNGjWKhIQElixZoisrU6aMIcITQpgoaVuEIUiPohB5sGnTJuzt7Vm2bBkAERERnD59mvbt2+Pi4qI7bGxssLKy0iuztLQ0cPRCCGMlbYswFtKjKEQuLV++nHfffZfly5fTuXNnANavX0/Lli2xs7MzcHRCCFMlbYswJtKjKEQuzJ07l2HDhrFhwwZdQw7aR0NdunQxYGRCCFMmbYswNtKjKEQOrV69mpiYGPbt20fDhg115QkJCezatYuff/7ZgNEJIUyVtC3CGEmPohA5VK9ePcqVK8fixYtRFEVXvmXLFry9vXF3dzdgdEIIUyVtizBGkigKkUNVq1Zlx44d/PXXX7z33nu68r/++ouuXbsaMDIhhCmTtkUYI0kUhciF6tWrs2PHDv78809Gjx5NWloaW7ZskTFEQog8kbZFGBsZoyhELtWoUYPt27fTsmVLdu3aRcmSJfHz8zN0WEIIEydtizAmKuXRgRBCiFwZOXIkaWlp/Pjjj4YORQhRhEjbIgxNehSFyAc+Pj74+/sbOgwhRBEjbYswNOlRFEIIIYQQWZLJLEIIIYQQIkuSKAohhBBCiCxJoiiEEEIIIbIkiaIQQgghhMiSJIpCCCGEECJLkigKIYQQQogsSaIohBBCCCGyJImiEEIIIYTIkiSKQgghhBAiS/8HOWTp6GvqzLUAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixcoupling=0.5\n", "couplings=[]\n", "for i in range(4):\n", " coupvec=[0,0,0,0]\n", " coupvec[i]=fixcoupling\n", " couplings.append(coupvec)\n", "\n", "plotres=[]\n", "for coupling in couplings:\n", " temprate=gravitino.rate(k,1,(coupling),0)\n", " plotres.append(temprate)\n", "\n", "plt.rcParams['ytick.right'] = True \n", "plt.rcParams['ytick.labelright'] = False \n", "plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True\n", "plt.rcParams[\"xtick.top\"] = True\n", "plt.rcParams['xtick.direction']='in'\n", "plt.rcParams['ytick.direction']='in'\n", "\n", "fig=plt.figure()\n", "cc=1.2\n", "fig.set_size_inches(6*cc,6*cc)\n", "gs = fig.add_gridspec(2, 2, hspace=0, wspace=0)\n", "(ax, ax2) = gs.subplots(sharey='row',sharex='col')\n", "myaxes=[ax[0],ax[1],ax2[0],ax2[1]]\n", "labels=['SU(2)','SU(3)','U(1)',r'$h_t$']\n", "plotresshuffle=[plotres[1],plotres[2],plotres[0],plotres[3]]\n", "mass=[numpy.sqrt(9/2)*fixcoupling,numpy.sqrt(9/2)*fixcoupling,numpy.sqrt(11/2)*fixcoupling,-1]\n", "norm=[1/3,1/8,1,1]\n", "for i in range(4):\n", " myax=myaxes[i]\n", " if i<3:\n", " myax.plot(k,plotresshuffle[i][1]*norm[i],\"r:\",label='strict')\n", " myax.plot(k,plotresshuffle[i][2]*norm[i],\"b--\",label='subtr')\n", " myax.plot(k,plotresshuffle[i][3]*norm[i],\"k\",label=\"tuned\")\n", " myax.legend()\n", " else:\n", " myax.plot(k,plotresshuffle[i][3]*norm[i],\"k\")\n", " myax.set_xlim(0,12)\n", " myax.axvline(mass[i],color='gray')\n", "\n", " if i==0:\n", " myax.set_ylim(0.,0.06)\n", " myax.set_ylabel(r'$\\Gamma_\\psi/d_i\\kappa^2T^3$')\n", " if i==2:\n", " myax.set_ylim(0.,0.06)\n", " myax.set_ylabel(r'$\\Gamma_\\psi/d_i\\kappa^2T^3$')\n", " myax.set_yticks(myax.get_yticks().tolist())\n", " myax.set_xticks(myax.get_xticks().tolist())\n", " tlabels = myax.get_yticklabels()\n", " # remove the last label\n", " tlabels[-1] = \"\"\n", " # set these new labels\n", " myax.set_yticklabels(tlabels)\n", " tlabels = myax.get_xticklabels()\n", " # remove the last label\n", " tlabels[-1] = \"\"\n", " # set these new labels\n", " myax.set_xticklabels(tlabels)\n", " if i>1:\n", " myax.set_xlabel('k/T')\n", " myax.set_title(labels[i],y=0.88)\n", "# fig.supxlabel('k/T')\n", "fig.suptitle(r'$g_1=g_2=g_3=|h_t|=$'+str(fixcoupling),y=0.92)\n", "plt.savefig(\"../../../gravitinopaper/rate_\"+str(fixcoupling)+\".pdf\",bbox_inches='tight')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e7f7c170", "metadata": {}, "source": [ "difference between SU(2) and SU(3) is the relatively larger Yukawa contribution wrt the (identical) gauge one for the former" ] }, { "cell_type": "markdown", "id": "befc915a", "metadata": {}, "source": [ "### do plots at a fixed temperature" ] }, { "cell_type": "markdown", "id": "fe048d1f", "metadata": {}, "source": [ "couplings from GUT, eq. (7) of [1512.05701](https://arxiv.org/pdf/1512.05701) and (4.19) of [Pradler's master's thesis](https://arxiv.org/pdf/0708.2786). Weird that they would use $T$ and not $n\\pi T$ as the scale" ] }, { "cell_type": "code", "execution_count": 17, "id": "8380521f", "metadata": {}, "outputs": [], "source": [ "def grun(T):\n", " beta=numpy.array([11,1,-3])\n", " mgut=2e16\n", " ggutsq=4*numpy.pi/24*numpy.array([3/5,1,1])\n", " gsq= ggutsq/(1-beta/(8*numpy.pi*numpy.pi)*ggutsq*numpy.log(T/mgut))\n", " #account for GUT U(1) normalisation\n", " return numpy.sqrt(gsq)\n", "\n", "def grunpi(T):\n", " return grun(numpy.pi*T)" ] }, { "cell_type": "markdown", "id": "155e994f", "metadata": {}, "source": [ "Do a plot at $T=10^8$ GeV" ] }, { "cell_type": "code", "execution_count": 18, "id": "27f15c2f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning raised by the integration routine for the dim-5 t-channel subtracted for momentum 11.72890890890891, statistics (1, 1, 1) and coefficients 1.\n", "This is possibly not problematic. The warning message is:\n", "\n", "The occurrence of roundoff error is detected, which prevents \n", " the requested tolerance from being achieved. The error may be \n", " underestimated.\n" ] } ], "source": [ "gaugecouplings=grunpi(1e8)\n", "ht=0.7\n", "\n", "kdense=numpy.linspace(0.01,15,1000)\n", "gravitonrategauge=[]\n", "gravitinorategauge=[]\n", "for i in range(3):\n", " gaugevec = [0,0,0]\n", " gaugevec[i] = gaugecouplings[i]\n", " gravitonrategauge.append(graviton.rate(kdense,1,(*gaugevec,1),0))\n", " gravitinorategauge.append(gravitino.rate(kdense,1,(*gaugevec,1),0))\n", "\n", "gravitonratetop=graviton.rate(kdense,1,(0,0,0,ht),0)\n", "gravitinoratetop=gravitino.rate(kdense,1,(0,0,0,ht),0)\n", "\n", "gravitonratetotal=graviton.rate(kdense,1,(*gaugecouplings,ht),0)\n", "gravitinoratetotal=gravitino.rate(kdense,1,(*gaugecouplings,ht),0)\n" ] }, { "cell_type": "code", "execution_count": null, "id": "4447218b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams['ytick.right'] = True \n", "plt.rcParams['ytick.labelright'] = False \n", "plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True\n", "plt.rcParams[\"xtick.top\"] = True\n", "plt.rcParams['xtick.direction']='in'\n", "plt.rcParams['ytick.direction']='in'\n", "plt.plot(kdense,gravitinorategauge[0][1],\"C0:\")\n", "plt.plot(kdense,gravitinorategauge[0][2],\"C0--\")\n", "plt.plot(kdense,gravitinorategauge[0][3],\"C0\",label=\"U(1)\")\n", "plt.plot(kdense,gravitinorategauge[1][1],\"C1:\")\n", "plt.plot(kdense,gravitinorategauge[1][2],\"C1--\")\n", "plt.plot(kdense,gravitinorategauge[1][3],\"C1\",label=\"SU(2)\")\n", "plt.plot(kdense,gravitinorategauge[2][1],\"C2:\")\n", "plt.plot(kdense,gravitinorategauge[2][2],\"C2--\")\n", "plt.plot(kdense,gravitinorategauge[2][3],\"C2\",label=\"SU(3)\")\n", "plt.plot(kdense,gravitinoratetop[1],\"C3\",label='top')\n", "plt.plot(kdense,gravitinoratetotal[1],\"k:\")\n", "plt.plot(kdense,gravitinoratetotal[2],\"k--\")\n", "plt.plot(kdense,gravitinoratetotal[3],\"k\",label=\"total\")\n", "\n", "plt.xlim(0,12)\n", "plt.ylim(0,1.1)\n", "plt.xlabel(\"k/T\")\n", "plt.ylabel(r\"$\\Gamma_\\psi/\\kappa^2T^3$\")\n", "plt.title(r\"MSSM, $T=10^8$ GeV\")\n", "\n", "plt.legend(ncols=3)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "4952ac96", "metadata": {}, "outputs": [ { "data": { "image/png": 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VH4hYiB/39/qlGbQ5JRLossHK2nxGCQS1gHRtOgfuHGDzjc0cunsImUxGtj4bbYa2+JPLiRA/7vf8MiTd/UJthhA/gaASuJd2j78j/2bz9c1cSLiAQTLkqxNYJ5CLXKxUO4T4cX/OL02fCXIlGHRixVcgqCAMkgEZMjJ1mRy4e4Avjn7B3fS7eerIkdPcpTmDGw2mp29P7Ax2OOFUqXYJ8eOBBY9cF7fsFNCJRQ+BoKxoDVqORx9n642thEWE0bROU07HnSZbfz9gqbXCms7enRnUcBBdfbqankMw+vZWNkL8eFj8bIziJ7a7CASlIlufzaG7h9hyYwt7b+81RkrK4Uj0EQB87H3oXb83j9d/nCC3IBRyhbnMFeIHBYgfgEaIn0BQUvbd3se03dPQGvIvVHjZeTGo4SBC/EMIrBNYqdGZS4MQPx4SP5Vx8QNtehFnCAS1l8SsRPZE7iExKxG9pGdXxC4uxF/IU6eBYwMGNRpEH78+NHBqYB5Di0GIH/dXe1M1qaDKmXfQCPETCHKJz4xn161d/HnjT87EnkEibxhQuUxOC5cWDGgwgF71e+Fl72UmS0uOED/ASW1cVUrRpAjxEwgeYOuNray+vJpTMafyCZ4MGcFewYT4h9DTtycuNi5msrJsCPEDHFXGSLHJ2cmgcjUWatLMaJFAYB6Ss5NxVDkSmxnLXzf/YunZpSRkJZiOy5DR2q01wwKG0at+L+pY1zGjteVDiB/gqDaKX4omBaz9jYWi5yeoJaRqUtkduZs/r//JkagjNHZuzJXEK3l6eq1cWjEkYAi9/XrjauNqRmsrDiF+gJPKOOxN1aSid7BFAUL8BDWaDG0GeyL3sPnGZg7ePYg+N6gHcDnxMgBt3NrQr0E/+vj1wd3W3UyWVh5C/Ljf8wNIs1IZ95UL8RPUUC4nXGbs1rF5NhznEuAUwLDGwwjxD8HTztMM1lUdQvwAK7kVtkpbMnQZJCuUQvwENQZJkjgbd5aYjBi87LzYfGMzW29szSN8HrYeDA8YzqBGg/Bz9DOjtVWLEL8cnNROZOgySFHk7DgX4ieoxtxKucWWG1vYdG0Td9PvopAp8gxtnVRO9G/Qn8GNBtPKtZXFbDyuSoT45eCocuRe+j2Sc78EQvwE1Yz4zHi239zOH9f/yLfpWC/pUcvVPO73OIMaDqKzd2es5FZmstQyEOKXQ+5ev2RZzgqX2OoiqEZIksTH/37MrohdecplyOjo0ZGhjYfSq36vPMEDajtC/HLI3euXkhvNWfT8BBbM5YTLbLy2kfYe7bmWdI1N1zZxO+226Xg9+3o8GfgkgxsOxsPOw4yWWi5C/HIw9fxyA5oK8RNYGIlZiWwN38r6q+u5kngFgFUXV5mO21nZ0c+/H8MChhHkFlQr5/FKgxC/HEw9PyknKoUQP4EFYJAM/HP7HzZe28juyN15Fi1y6eTZyeRxkZuSQVA8QvxyyN3rl6zXGAvEnJ/AAsjUZjLr4Kw8LmYAnraeDG88nCGNhlDPoZ6ZrKveCPHLweTfq88JwCh6foIqRqvXEhYZxvbw7bzQ8gU2Xt/IlhtbSNMa/xErZAp6+/VmROAIOnl2Qi4TmWfLgxC/HEyRXXQ5QUz12aDXgqJ2bwcQVD63Um7x+5Xf2XhtI4nZiQCERYSZjvs6+DIicARDGw2tdpFTLBkhfjmYFjy0Dwx3Nelg42wegwQ1Go1eQ1hEGOuurONI1JF8xxUo6OXXi5FNRopeXiUhxC+HutZ1AUjISgSFCvQaIX6CSuNWyi3e2vdWvnIfOx9GNhnJ0IChNSZ6iqUixC+HXPFLyk5Cp7JDmakR836CCsEgGdh/Zz/hyeEMbTSU36/+zprLa0zHZcjo6duTUU1H8YjXI6KXV0UI8cuhjroOcpkcg2QgUW2PW2aiWPEVlIvk7GQ2XtvI6kuruZ12GzlyvjnxDRqDcUeBs9qZJxs/yagmo6pF2PeahhC/HBRyBc5qZxKyEohX2+AGoucnKBOXEi6x+tJqttzYQpb+fv5nAwY0Bg3N6jbj6WZP079Bf9QKtRktrd0I8XsAFxsXErISSLDK+UIK8ROUkj+u/8G7+9/NV66QKQjxD2FM0zHC+8JCEOL3AC7WLlzlKvFWOdtbxLBXUAzJ2ckkZCXQwKkBt1NvczL6ZJ7jddV1Gd10NCMCR+Bm62YmKwUFYbHit3DhQj7//HOioqIICgri22+/pVOnToXWX7BgAYsWLSIiIgJXV1dGjBjB3Llzsba2LvE1cxc94nP39mWnlOszCGout1JuserCKjZd30R9h/rUd6xPWEQYBskYGCPAOYBxzccxsOFAVAqVma0VFIRFit+aNWuYPn06ixcvJjg4mAULFhASEsLly5dxd8+fSyA0NJS3336b5cuX06VLF65cucKECROQyWTMnz+/xNfN3UAar8hZbcsS4ie4jyRJHI8+zs8XfmZP5B5Tgp/LiZdNeS+6eHdhXPNxdPHuIoa2Fo5Fit/8+fOZNGkSzz33HACLFy9my5YtLF++nLfffjtf/YMHD9K1a1eefvppAPz9/RkzZgyHDx8u1XVdrHPELzemX3ZqOT6FoCZx8M5Bvjn5Defjz+c7ppApGNRwEONajCOwTqAZrBOUBYsTP41Gw/Hjx5k5c6apTC6X07t3bw4dOlTgOV26dGHVqlUcOXKETp06cePGDbZu3cqzzz5b5LVSUvL27JyURi+PBFlOTD8x7BXkEJMRk0/4HFWOjGoyijFNx4j5vHKSnZ1Ndvb9vCIPP5uVgcWJX1xcHHq9Hg+PvAEYPTw8uHTpUoHnPP3008TFxfHoo48iSRI6nY6XX36Zd955p8hr+fr65nn/0mcvgSfEG3LCWomeX60kMSuR0EuheNh60Kt+L/538X+EXgw1Hfew9WBCiwk80fgJEUKqgpg7dy5z5syp0mtanPiVhT179vDpp5/y/fffExwczLVr13jttdf46KOPeP/99ws9LzIyEkfH+2krb6Tf4MBfB4g35OzNEnN+tYqo9Ch+Ov8Tv1/9nUxdJrZKW/575L+mvXr+jv483/J5BjUchJUIeFGhzJw5k+nTp5vep6Sk5OucVDQWJ36urq4oFAqio6PzlEdHR+PpWXAe0ffff59nn32WF154AYBWrVqRnp7Oiy++yLvvvotcXrC7kKOjYx7x81H6ABCvy0AHKMWwt1ZwI/kGy88uZ8uNLehyI3kDGTkRfprVbcYLrV6gV/1eKOQKc5lZo1Gr1ajVVbvh2+LET6VS0b59e8LCwhg2bBgABoOBsLAwpkyZUuA5GRkZ+QROkZOCUpKkEl+7rnVdlDIlOklHnEKBpxC/Gs9P53/iy2NfmlZuH6SDRwdeaPWCWLmtoVic+AFMnz6d8ePH06FDBzp16sSCBQtIT083rf6OGzcOHx8f5s6dC8DgwYOZP38+bdu2NQ1733//fQYPHmwSwZKgkCtwt3XnbvpdopQKPMWwt0aiN+hNPbh6DvXyCd+jPo/yUuuXaOPexgzWCaoKixS/UaNGERsby6xZs4iKiqJNmzZs377dtAgSERGRp6f33nvvIZPJeO+997hz5w5ubm4MHjyYTz75pNTX9rTzzBE/pVjwqGGcjzvPotOL8LLzYnyL8Sw9u5Q/rv1hOt7Vpyv/CfoPrd1am9FKQVUhk0ozLqwhpKSk4OTkRHJycp45P4C39r3FtvBtvBmfyPj0bHg/1kxWCiqKXNHbe3svYNyXhwR6jMmAuvp05ZWgVwhyCzKnmYIHKOoZrSgssudnTjztjIsqUUqFMaCpLhuUIvJGdeRh0ZNhnLfLzYDW1bsrLwe9LIa3tRQhfg/hYWscWkcpc25NVgrYiw2s1Y31V9cz++BswCh6MpnM5Hfb2asz/2nzHyF6tRwhfg9h6vlZ5TijZwvxqy5IkmRalQ32CkalUGGQDOgMOiRJIsgtiNfavUZHz45mtlRgCQjxe4hc8YvOXSUW210snvjMeJaeXcrt1Nt81eMrfr/6Oz+c+QFNTg7mAOcAXmv3Gt3rdRdbVgQmhPg9hKetUfzi5DK0gJVY8bVYUjWp/HT+J36+8DOZOmO+5X6/9yMmMwYAH3sfJreZzIAGA8TmZEE+hPg9RF3rutgobcjUZXJPqaS+2OtncWj1WtZcXsMPZ34gKTsJABuFDZn6TGIyY3CxduGloJcY0XiEcEMTFIoQv4eQyWT42PtwLekaEVZK6ouen0URkRLBf8L+w62UWwDYKm3J0GWQqTf64j7f8nmebf6sCDggKBYhfgVQ36E+15KuEalUijk/C8PLzgu9QY+1whqNQUOGLgO5TM4TjZ9gcpvJItdtTUCnIXPLzOLrlRMhfgXg62CMJhFhpYSsZDNbU7uJTo8m9FIoU9pOAQl+vfQriVmJpkgrXX268kb7N2hcp7GZLRWUGb0O4q+CnRv6C39y58BqnKIKjt1ZkQjxK4D6jvUBuK1UQmaSeY2ppWTpslhxfgUrzq0gU5dJcnYyR6KOEJkaCUDjOo15s/2bdPHpYmZLBWVCr4XwfWQc/QWrq9tRGLIBCQUS9YGUKliUF+JXAPUc6gEQYWUFmYlmtqb2sSdyD58d+Yw7aXcAcLBy4PervwPgauPKlDZTGBYwTKzgVjf0Wrixl/Sjv6C6th0rQxYPz8yeNfizW9GFWP/uwJhKNUeIXwHUd7jf8zNkJlJwNEBBRROZEslnRz9j3+19gHExI0uXRao2FSu5FeNbjOeFVi9gZ2VnZksFpSY9nls/TcQvZjcP//WuGHzYSHd0TYbQtWMHXmnkQmZ6Gh+/XLkmCfErAE87T5QyORq5gZiseAoOoSqoaD4+/DEH7x5EIVOgUqhMwUS71+vOWx3fMk1HCCwcvRZu7EFzIhQrR3dS71zC7vY/+OUEkgC4YvBmnfQ46QFD6P1IW6Y1ckWlvN/NyKwCM4X4FYBSrqSetSs3M2O4oUkS4leJPBhbb3jAcM7GnSVVk0qmLpP6DvWZ0WkG3ep1M7OVgmIxGCDyXzTH/4fs/Hqs9BnkZivOjclyzuDPdukRkhoN4fFHOvBGgCtqpfmmLoT4FUKAQ31uZsZwXZ+OmFKveGIyYph7eC4+9j680OoFvj75Nb9f+R0JCRulDS+2fpFxzceJhN+Wjl6Hdsf7GE79ilqTyMN/rdsGV9bTk+RGgwnuEMyUQDesrSxjrlaIXyE0cg5gV8wxrqMxtyk1CoNkYN2VdSw4voBUbSpKmZKN1zaSrDFuKerfoD9vtH8DDzuPYloSmI20GLBzgzvHuffPStwu/Q91brpXINrgxO+Gblz36E/XLt14vqUX9mrLkxrLs8hCCHBpBsA1pRy0WWBlbWaLqj83km8w5+AcTsScAMDOyo50bTrJmmQCnAN4N/hdOnh2MLOVggJJuQfnfifr2C+oEq+SZVcP27RbeAHIIFmyZYP+UY45hdDukZ6MbFMPNwfLjoMpxK8QGrm0AOC6ygopMxGZlZeZLaq+aPValp1bxpIzS9AatCjlSgySgXRtOtYKa14KeonxzccLP1xLQ5MBlzaTffQnVJEHkCGR2wWwTbtFpqRih6ED/9j0wrdDf4a282eCa/VZiRfiVwj+zg1RShJpcjnRiTfwdBTiV1bis+JZeX4lWoMWa4W1yTvjUZ9HeTf4XdO+SoHlkHX2T6w2TERhyObB/ptBgqOGJmxR9sY6aBgDOwQytJ5TtQwVJsSvEKwUVtQ3yLihgKvx5/H062puk6oVDwYWVcqVBDgHcDr2NFn6LNxt3JnRaQZ9/PpUy4emRhJ/HTTpoFBhOPELmsM/Yy1lmw5fM3ix1tCDGL/B9OvSnveauOfZmlIdEeJXBE1Rc4NsLiZd4TFzG1ONuJl8k/cOvMcrQa8QmxnLvKPzSNWkIpfJGd1kNFPbTsVeZW9uMwWZiXBuPZpjv6CKPonWygErbSpyjNtTEiR71um7ccShL4906c6ktj642lv2PF5pEOJXBM2VDmyVsrmQEm5uU6oFBsnAr5d+ZcHxBWTps5i+Z7ppo3Kzus2Y3Xk2LVxbmNnKWo7BAOF70B/7CdmlzcglnWl7ipU2FZ0k429DOzYreuHSdiBPdmzAJG/HGtlDF+JXBM3VLpAVx/n0u+Y2xeKJy4zjvQPvceDOAcCYHjJDl4FKrmJy28mMaz4OpVx83cxN2sonsY/4m4d32oUbPPhV34uYBsMICW7N583czboBuSoQ38YiaGbrgyzzElG6NOIz43GxcTG3SRbJwbsHeeefd4jPikeOHAMG9JKe1q6t+ajrRzR0bmhuE2snOg1c2Qb1u8Ddk+iO/Ijtrb/JyeBJuqRmk74LYeq+BD3am+c6+uLlZGNem6sQIX5FYG/ril+UjpsqK87HnxduVgVwIf4CL+18CTCmiDRgQCVXMbXtVJ5t/qyIvGIOYi/DiZ/RnfgfyuxEdConlJpk48MugyOGQH7TP05mwEBGdGnKksZuKOQ1b1hbHEL8isLWhVbZGm6qrDgTe0aIXwE4qZxwtXElLjMOCWN6yA+7fkhDJ9Hbq1K0mXBuPfpjK1DcOQrcf7iVmmSSJDvW6rvzt90AHn2kM2+1r4e7Y+3euC/EryjsXGmXncWfDnYciz5mbmsshv139tPKpRU7bu3gy2NfkqHLQK1QM7XtVJ5p9ozo7VU12kx0XzZHmZWQby7vmKExv+p7o20yhBGPNGZigCvyWtjLKwghfkVh60KHTONep7OxZ8nWZ6NW1Jyl/tKiN+hZeGohS88uxVntbMqc1ta9LR92+RB/J3+z2ldr0Gsh8jD4Pwq3j5O051scMhNNc3lpkjW/6x9jm7ofnR/tzoxOvrW+l1cQQvyKws4VP50OV71EHBrOxp6ttb6niVmJvLXvLf699y8ASdlJqOVqprWfxpimY0RvrypIuQvHfzIObdOj0bu3QBFzHmcAGZw1+LFK35e7Pv0Z/WhzfmnhgZWiem9ErkyE+BWFrSsyoH1WFjvsbDgefbxWit/5uPNM/XsqsZmxprJ27u34qOtHIsBoZSNJcGM30tFlcHkbMklvGtoqYs6TLSnZbOjMr1I/Att357nOfjT1dCyySYERIX5FYWdMg9ghM5MddjYcjT7KS7xkZqOqlm3h23jnn3fQSToA1Ao109tPZ3TT0chloldRqcRexrB6LPL4qzw8SxctObFK14cDToMZ2CWIZe3r4WQjAkOUBiF+RaFUg8qB4CxjUO0T0SdI16bXmhwSVxKu8N7+90zC19a9LZ88+okptaegEtBlG793ei0Xj/5N4/jreXLIHDc0ZqUuhNSG/Rn/WCCvN3YTCxhlRIhfcdi54J94k/o27kRkxnDo7iF6+/U2t1WVikEyEHoxlK9PfI3GoEEpU/J/Hf9P9PYqC0mCWwfg30UY4q4ibzcOw7+LaJZyGwCNJOdPQxf+Z+hHQNtuTH60gRjaVgBC/IrD1hVZ4k26Ozbml8wY9kTuqdHidzL6JB8c+oAbyTcA6OTZiTld5oiwU5WBNgvO/Y50eBGyqLMAxl7eX+8iB+IkR37R9WGLKoQBj7blh0f8LD5AaHVCiF9x5Mz79bDx5hfgnzv/5Em6U1PQG/R8e/Jblp1bBhjn9t7q+BYjAkeI3l5Fkx4PR5YgHf0RWUYcMoydv9zYAdcNXizVD+R0nb6M69aMzW19LCbvRU1CiF9x2BrFry3WOFg5kJCVwMmYkzVq1Tc8OZw39rzB1aSrAFgrrPm+1/d09OpoZstqJinhx3Dc+1meRQyZDA4bmrJUN5B0v1682L0xnwaK+bzKRIhfcdgZgxlYZSbSy68XG69tZPONzTVC/PQGPT9f+JlvTnxjWtTwsvMidEAorjmiL6gAbh+DxJvQ4gm4tBnN9k9Nh/QSbDd0YqluEG7NuvKfHo1oV7+O+WytRQjxK45cEUiPY0ibF9l4bSN/3fyLmcEzq7W3x42kG7x/4H3OxJ0xlbV1b8ui3otqzWp2pWIwwNUdcOAbiDiIXmmDfM9nyOKv4gpkSirW6HuwUt+fdm3bMa97IwI9HMxtda3CYidzFi5ciL+/P9bW1gQHB3PkyJEi6yclJTF58mS8vLxQq9UEBgaydevW8huSM+dHRhztPdrjZedFqjaVPZF7yt+2GdAatCw9s5QRf47II3z9/PuxrO8yIXzlRZcNJ36B7x+BX0dDxEEkCRS6TGTxV0mRbPhON5THDd9xs9MHrHprNPOfaiOEzwxYZM9vzZo1TJ8+ncWLFxMcHMyCBQsICQnh8uXLuLu756uv0Wjo06cP7u7urFu3Dh8fH27duoWzs3P5jXmg5yeXyRnUcBBLzy7lt8u/EeIfUv72q5BLCZeYdWAWFxMuAtDVuytqhRoPOw/e7vS2WNgoLzf2IG14BVmqMfitQZIhl0nIZBAvObBc158Nyv488VgL/uzqX6NCwldHLFL85s+fz6RJk3juuecAWLx4MVu2bGH58uW8/fbb+eovX76chIQEDh48iJWVcZe7v79/xRiTM+dHRjwAIwNHsvzcco5EHeFSwiWa1m1aMdepRDR6DYtPL2bFuRXoJB0OVg7MDJ7JoIaDMEgG5DJ5jQxTXtWcT7KiWeo9pBzRk8skoqQ6LNENYrOyD2N6NGNb1wY42QpPDEvA4v7VazQajh8/Tu/e9/fSyeVyevfuzaFDhwo8548//qBz585MnjwZDw8PWrZsyaeffopery/yWikpKXle2dnZ+SvZuRl/pseCJOFl70Ufvz4A/HLhl7J9yCrkTOwZnvrzKZaeXYpO0hHgHMAj3o8woMEAZDIZCrlCCF9ZyEiA3XNh8+vG/LYHv6PxjmeQYxS9CIMbM7UTGSD7Docer7JzxgBe7xMohK8QsrOz8z2PlY3F9fzi4uLQ6/V4eHjkKffw8ODSpUsFnnPjxg3+/vtvxo4dy9atW7l27Rr/+c9/0Gq1zJ49u9Br+frmddOaPXs2H3zwQd5K9jl26DXGbFe2dRnXfBzbb25n642tvNz6ZXwdLc/dK0ObwcJTC1l1cRUGyUBd67p09e7Knzf+5FrSNfbe3svj9R83t5nVj7QYOLTQuEdPk4YEcGETsox4VMAtgzvf6oezy6oHE7oFsLtrA+FzWwLmzp3LnDlzqvSaFid+ZcFgMODu7s6SJUtQKBS0b9+eO3fu8PnnnxcpfpGRkTg63ncTUqsLmINRqsGmjlH40qLBti6t3FrR1bsrB+4e4NtT3zKv27zK+FhlQpIkwiLC+OzIZ0RnRAMwuOFgmtZtyufHPgdgcpvJQvhKS1oM7P8K6dhyZLosZIBWUmAl00NGPJEGN74xiV4ge7v6C9ErBTNnzmT69Omm9ykpKfk6JxWNxYmfq6srCoWC6OjoPOXR0dF4enoWeI6XlxdWVlYoFPd3wTdr1oyoqCg0Gg0qlarA8xwdHfOIX6E4eBnFL/UeuDcDYFr7aRy4e4Bt4dsY13wcLV1blvATVh63U28z98hc9t3eB4CPvQ/vBr9LiiaFmf/MBGBiy4m8HPSyOc2sftzYixQ6CpkuExmgkZSoZDqsZHruSC58pxvGFvnjPNstgD3dGgnRKwNqtbrgzkclYnFzfiqVivbt2xMWFmYqMxgMhIWF0blz5wLP6dq1K9euXcNgMJjKrly5gpeXV6HCVyocckQ3NcpU1LRuUwY3HAzABwc/QGvQlv86ZUSj17D0zFKGbxrOvtv7UMqVTGo1iQ1DN6A1aHl3/7tISIxuMprX2r1mNjurFZJk+vWirBFZesiSjKKmkumIkurwnvY5+uq+wqrT8+x6qzf/F9JUCF81wuLED2D69OksXbqUn376iYsXL/LKK6+Qnp5uWv0dN24cM2fONNV/5ZVXSEhI4LXXXuPKlSts2bKFTz/9lMmTJ1eMQQ5exp+p9/IUv9HhDZzVzlxOvMyPZ36smGuVAkmS2HFzB0M2DuGbk9+Qpc+ik2cnfh/yO6+2e5UsXRZv//M2eknPkEZDmBk8UyxuFEdmknEh4+chRgEM30eDbWOxkTKxlmmJkxyZo32W7pqvyGg9ge1v9OHDoS1xdxBh4qsbFjfsBRg1ahSxsbHMmjWLqKgo2rRpw/bt202LIBEREcjl93Xb19eXHTt28Prrr9O6dWt8fHx47bXXmDFjRsUYlLvo8UDPD8DFxoWZnWYy458ZLDq9iNZurenq07VirlkMZ2LP8PnRzzkVewoAdxt3Xu/wOgMbDDQJXB3rOnzV4yu23NjCnC5zxD6+oshOhcOL4eC3kJVsLFvSA+6dwhpjXoyluoH8qB9Al+b+/NG3CU08xcbk6oxMkh7o39cSUlJScHJyIjk5uWRzfoeXwLb/g2ZDYFTe7S2SJDHn0Bx+v/o7DioHVoSsoEndJpVkOVxOuMzi04vZFbELABulDc+1eI7xLcZja2Vbadetseg0cHwl7P0vZMQBkCLZ4CgzBrDVomSVrhff6YbhV9+Pdwc2p72f8L2tbEr9jJYBi+z5VRWXo1LoWKIFj/xzfrnIZDLeCX6H60nXORV7ikl/TWJJ3yUVvvn5UsIlfjj9g0n0ZMgY0mgIU9tOxcPu/ragDG0Gsw7OYmrbqfg5+lWoDTWOpEj4aZAx6ACQItliS6ZJ+Dbpu/ClbiRSHX8+7NeMAa08xbRBDaJWi19Kpq5kFU1zfvnFD0ClULGw90Je/OtFzsefZ9y2cXzQ+QMGNBxQLvt0Bh17IvcQeimUo1HGRNQyZPTz78dLQS/RyLlRnvoGycCMf2awJ3IPVxOvsn7I+hoXd7Ai0dl7kaJTo8IGmWTAUZYBwD59K/6rG0OEOoBX+zRmXBc/1EpxH2satVr89IYSjvgdcnpWaVF5o04+gKPKkSV9l/Dmnjc5dO8QM/6ZwY6bO3i13av5RKooJEniUsIltoVvY2v4VtNePYVMQV+/vgWKXi4LTy1kT+QeVHIVH3b9UAjfw9w9BQe/gSHfgsqOrEs7SUtNoj6ZIIPLhnp8rHuGQwTxTGc/VvVqTB27CtgtILBIarf4lXS6swAvj4JwVDnyfe/vWXx6McvOLuPvyL/5O/Jvuvp0pa9fX9q5t6O+Y/08Cw8avYaIlAguJ17maNRR/r33L3fS7piOO6udGRk4kqeaPIWnXcH7HAF23trJkjNLAPigywcEuQWV7LPVBpIiYNcHcO53ACRbN2QJ17G/thN7IFFy4EvdCH7VP07PZl78NaAZDd3szWqyoPIR4lcSlGqwdTEGN0i9V6j4ASjlSqa0nUJf/758f+p7wiLCOHDnAAfuHADASm6Fo8oRtUJNhi6DFE0KBsmQpw21Qk23et3o36A/3ep1KzZu4NXEq7y7/10Anm3+LIMbDS7Z56rpZKfC/q/g4Hegz0ZCxg2DJw2OLEGGAS1KVuhC+E43DBdXd34c3JyeTfJHDRLUTGq3+OlLsdDt4HVf/DxaFFs9sE4gC3ou4GbyTXbc3MG+2/u4nHiZbH028VnxeeraW9nT0Kkhbd3b0smrE+092pc4rl5ydjKv/v0qmbpMgr2Cmd5+evEn1XQkCU6ugr8/MrokAuF4U1dKpJHcuFdzh74Dc3VjiLGqx9R+jXn+UX8xr1fLqN3iV5pdPg6eEH0OUu6W6hr+Tv68FPQSLwW9hM6gIzojmlRNKtn6bOyUdjhbO+Ni7VLmVcQsXRYuNi5ISHzR7QuU8lr9JzUik8G1nZAWTYzMlTS9kobyuyCDq1I9ZmnHc8jQgsFB3rwzoCleTjbmtlhgBmr1k2Io6YIHgFOOk3Xy7TJfTylX4mPvU+bzC8LDzoMV/VYQlxGHs7VzhbZdrUi4AVa2pm1Jy+RPEqS/QDv5VdzlkIE1X2qf5Cd9CAGedVg9pAWPNHQxs9ECc1Krxa/Eq70AzjnilxRROcaUkgxthmlTs5XcCi97LzNbZCY0GbB/Phz42pggaNgiOB3Ks1ffQ6VIBIz79T7RjiXVypUZIYE819UfpUJ4u9R2Si1+iYmJSJJE3bp1iY2N5Z9//qFJkya0aFH8PJilUSrxc6pv/JkUWTnGlIJUTSqjNo+iV/1evNr2VawUtdCZXpLg8lbY9jYkG/8hJdy+TN3lfeH2UVRAuMyXmdnj+dfQnJ5N3PhwaEt86wovGIGRUv37+/HHH2nfvj0dOnRg0aJFDB8+nLCwMEaPHs2PP1a9Y395KV3PL0f8ks3f8/vo0EdEpkay89ZOMvWZ5jan6om/DqFPweqnITmCRKU7m/XBOMSfhttHyZLb8LF2LH0yP+G6XVsWPt2O5RM6CuET5KFUPb9vvvmG8+fPk5mZSf369QkPD8fNzY3k5GS6d+/OCy+8UFl2VgqlWvDIHfYm3wG9DhTmmTHYHr6dbTe3oZQpmddtHo6qyvF7tFiu7oLVY0CvwSBTsk3qQjPNZQYpDgOwhw68nTGeaJkLYx+pL8JMCQqlVE+wUqnExsYGGxsbAgICcHMz5rdwcnKqlj6Pper52XuC3AoMWuN2F+eqD10fmxHLx4c/BuDF1i/S2q11ldtgdnw7obeuwyWdFzfS1QxW7gM5JMnr8nbWOLYbOtLY3YGFT7YWAQgERVKqYa9CoSArKwuAvXv3msrT0tIq1qoqwlCanp9cDk71jL8nV/28nyRJfHDoA5Kzk2lWtxkvtK5evewykxoN+z43BRdN0qv5OG0IblnhDFYae3vrZH3olvFf/pI68Z8eAfw59VEhfIJiKVXPb9euXaZQ005OTqbyjIwMlixZUrGWVQGl6vmBsbeXGG5c9KjigCkbrm1g3+19WMmt+PTRT7GS1/ChnCTBiZ9h5/vG+HoO3tC4L85bXme27E8A7ip9eS39OY5KTQn0sOfzEUEE+Tqb125BtaFU4veg4O3atYtevXohk8lwd3cvMJm4pVNq8TOt+Fb9ooe1whp7K3tebP0iAXUCqvz6VUrcNfjzNbi1H4AY+6bIY27jujMYMuIxyJT8KA3ji7TB6OUqJvdoyKu9GgsPDUGpKPOsfUhICPfu3auWopdL6Xt+5lvxHdBwAO092uNq41rl164ydBo4+DXs/Rz02RiUNvxq9QTOyVcZeOhTAO5aBzAxeSIXJT+aeDjw+cjWtK7nbF67BdWSMotfTQgAXarVXjD7RucHg5bWSH6fCBf/ACCibmeWxTRnqnYtrooUDCj4SfkknyYNQidT8lL3hkzvEyh6e4IyU6u3uZe651engfFnwo2KN6YA0rXpjNs2zpSKssbTZSo6GzcW2U/hZCzMUS7DVZZCtE0jhmk/Yk7aMNyc7Al94RFm9m8mhE9QLsolfosWLSIsLIzExMSKsqdKMRiKr5MHl5y5tqRI0GZVuD0P893J7zgZc5K5h+ei1ZsvNWalEX0ezq4zvT0pNWZy2gSGp/6PoYpDGFDwm+0oHkucxRm9P0OCvNk2rRudGwmfXEH5KddO3e+++445c+Ygk8nw9fWlXbt2eV6FJRm3FErd87NzBbUTZCcbV31zEphXBhfjLxJ6KRSA9zu/X7Nc2PQ6OLAA9nwGcgV4BYGTL63Pz+MHxfcAJNk24KW0Fzic0AAHtZLPh7dkaJuKDQohqN2US/zOnz+PTqfj5MmTnDhxghMnTrB06VIiIyORyWR4enpy586d4hsyE6UWP5kMXBrB3RMQf63SxE+SJD478hkGyUB///508e5SKdcxC7FXYMNLxnsIJPl0xy75Lla/jUcRcx6Ag3WG8fy9oWShplODusx/Koh6dYRrmqBiKbP45Xp0eHt74+3tzcCBA03H4uPjOX78OKdOnSq3gZWJttTjXoxD31zxqyT+uvUXJ2JOYK2wZnqHGhKcVJLg+ArY/g7oMpHUjmz2mcaJKzd49/YIkDTorF2YI/8Pv9xrhkwGrz3emFd7NUYhr37eQwLLp1JWe11cXOjbty99+/Yta/NVgkZXRvGDShO/LF0W84/NB+C5ls8Vmbej2iBJsHY8XNgEQKZvN2amPsnwq8uYrTwDEtx1e4yRUWO5o3XEzUHN16Pa0CWgBm/rEZidMovf9u3b82x6ro5kl0n8cjKnxV+vWGNyCIsI4276XTxsPXiu5XOVco0qRyYDj1ZwaSuXW73BV6dlfCK9h4siFb1czUb3V3jjZkdAxmONXZn/VBvcHIrOWyIQlJdSi19mZiYJCQn5enXnz5+vdjH9snX60p9kEr/K6fkNbDgQR5UjEhI2ymocXl2XDemxJn9oXZdprIhrgvb4WhYr/wAZpNdpyquaKYTdrItcBtP7BPKfHgHIxTBXUAWUSvzWrVvHtGnTcHV1xWAwsHTpUoKDgwF49tlnOXHiRKUYWVmUadhbN0f80mMhMwlsnCvSJAAeq/dYhbdZpSTcgLUTQK+FSbvBypp7d27S7swntFdeAuBWg9E8cWMQ8dly3B3UfDumLcEirLygCinVPr+PP/7YtJCxYsUKJk6cSGiocTtGdfT4KNOw19rRGN4KIO5KhdkSmxFLUlZShbVnNi78AT90h3unITXKeI+u/IXvmr60l11Cq7Tjz8BP6H5xCPHZcjr512Xzq48K4RNUOaXq+Wm1Wjw8jC5W7du3Z9++fQwfPpxr165Vy3h+ZRI/MKauTIsybtL17VQhtnxx7Av23d7H7M6z6degX4W0WaXoNLBrNvxr3Kcn+T7C6nrv0vPAL3ieM0b80Xm05h35G6w9Y9yzOKGLP+8ObIaVyKchMAOl+ta5u7tz5swZ0/u6deuyc+dOLl68mKe8ulCmYS/cz9sbfb5C7LiccJlt4dtI06bh51jFsbIqgqRIWDnAJHy6R6bwsfo1Ag9MNwlffIvn6JvyHmvDrbC2kvPVqCA+GNJCCJ/AbJSq5/fLL7+gVOY9RaVS8euvvzJlypQKNawqKFfPDypM/L47+R0SEiH+ITRzqTyvkUpj65tw+yhYO5HU92u+2HuPaUkv4SpPIVtpz7n2nzD2oAdZWh2+dW344ZkONPeuZeH3BRZHqcSvXr16hR7r2rVruY2pajRlWe2F++IXc964h60cQ/7TsafZc3sPCpmCKW2q3z8QAAZ+CXot59vOJmz9UuboV6GQSaTVacbaRnOZszcDMNAt0I1vRrfB2VZlbosFgvJHdZk1a1ZF2GEWyjzsdQ0EudIYYTilfO57P5z+AYAhjYbg7+RfrraqDE06nN94/71TPbY0/YyI3/6PVw2/oJBJJAeOYJbrV8zZnwHAxEcbsGJCRyF8Aouh3OK3du1a/ve//+UrX79+Pa1bW3aCnTIPe5VqowBCuYa+F+Iv8M+df5DL5LzQqprk5Ei8BctCcjw2jLH3pNjLtPvrSfrLD6NDSWz3TxkXP4H1ZxNQymV89kQr3h/UXLipCSyKcovfn3/+yYwZMzhw4AAAf/zxB+3atWPkyJE0adKk3AZWJmUe9gK4Nzf+jD5X5ibOxJ5BIVPQv0F/6jvWL7stVUX4P7C0J0SfBTs3Y5SbC5uQLX0cL20E6Wo3bg7+jcGHmnL6TgrOtlb8MjGY0Z2qwWcT1DrKnXw2ICCA1atXM2rUKLy8vDhx4gQjRozg559/pmXLlhVhY6VR5p4fgFdrOLcO7p4scxOjm47mUZ9HkcuqwYrnseWw5U2Q9OAVRNrQFdzY9g2tb600Hvd7lMOt/st/NkaSpTUQ4G7PsvEd8HOxM6vZAkFhlFv8Dh06RLt27Zg3bx7PPfcc+/fvp3PnzhVhW6WTrSvHxmyfDsaft4+Xy4Z6DoUvIlkEBoNx/97Bb4zvWz1FTOf3uPXjBDrqcjx6Ok9hpe0E5vx+BUmC7oFufPt0Wxyta1AMQkGNo9zi17VrV+RyOY0aNUKtVvPee+8xffp0goKCilwdtgS0egMGg1Q2X1LvNiBTQOpdSLkLjt4lPjU6PZp0XToNnRqW/rpVzY3d94Wv57vc8Q5Bt7Q/HaU7ZKEiqseX/C+9A0u3GL1dxgbXZ86QFijF/j2BhVPub2hiYiK7d+9m6tSpjBo1itTUVEaOHEn9+vVxcSm7y9LChQvx9/fH2tqa4OBgjhw5UqLzVq9ejUwmY9iwYSWqr9GXceirsrs/73f7WKlOXXF+BUM3DuX7U9+X7dpVSUAv6PZ/8MRSImya4vi/fvhJd4iRuRA7chOf323J0n/CAXirXxM+HtZSCJ+gWlDunp+TkxOPPfYYjz123xnfYDBw+fLlMnt9rFmzhunTp7N48WKCg4NZsGABISEhXL58uchUmTdv3uTNN9/MY0txZGn1WFuVMRFOvfbGyf87x6D5kBKdkqJJYf3V9QC0cWtTtutWNnHXwKYO2OX88+r5LpHbvsDnyCcokDivaIbts6HM2B7NkZv3sFLImDeiNcPbWnZPXyB4kDL/i541axbHjxc83yWXy2nWrBmjRo0qU9vz589n0qRJPPfcczRv3pzFixdja2vL8uXLCz1Hr9czduxY5syZQ8OGJR9OZmjKseJbhnm/9VfWk6nLJMA5gM7eFjg3eucELO8Lq582JmnSZaP5/RV8j3yMAokw6z7In/uDSesjOXIzAQe1kp+e6ySET1DtKLP43b59m/79+1OvXj1eeeUVtm3bhkajKbdBGo2G48eP07t37/tGyuX07t2bQ4cOFXrehx9+iLu7OxMnTizV9aLik0hJSSElJYXs7OzSGVsvR/zunjA69heD1qDlf5eMeyKfbf6s5QWDCN8HPw2GjHjQZUHiTVg5CNW5X5GQs8r5FVyfXsr4n85wLSYNT0dr1r7SWURcFpSb7Oxs03OY+6psyix+y5cvJyoqil9//RUHBwdTnL8nn3ySn3/+mYSEhDK1GxcXh16vN0WPycXDw4OoqKgCz9m/fz/Lli1j6dKlpb5el+6P4+TkhJOTE3Pnzi3dya5NwNYVtBlwp/je365bu4hKj6KudV0GNhxYbP0q5cIfsOpJ0KRBg24Q8inSqifg9hGwdkL2zDqaDX+LcSuOEpOaTRMPBzZM7kJTT+GjKyg/c+fONT2HTk5O+Pr6Vvo1yzUzLZfLeeyxx5g3bx6XL1/m8OHDBAcH88MPP+Dt7U23bt344osvKjWDW2pqKs8++yxLly7F1bX0PZD1f24jOTmZ5ORkZs6cWbqT5XJokDO/GL632Oo/n/8ZgNFNRqNWWFCY9hM/Gz029BpoNhiCnkb/y3BkKXfQ1W0Mk3bzj9SaZ348QnKmlrb1nVnz0iN4OVXjSNMCi2LmzJmm5zA5OZnIyMhKv2aZFzxefPFF5s+fj729vamsWbNmNGvWjLfeeovY2Fj++OMP/vjD6AL15ptvlqhdV1dXFAoF0dHRecqjo6MLzAN8/fp1bt68yeDBg01lhpysbEqlksuXL9OoUaNCr6eXq3B0LEfvpUF3OL/BOGTs8Xah1WIyYohIjcBKbsVTTZ4q+/UqmuMr4c/XjL+3fdbotbHxZRTA3/o2HK//OS3u2vLa6qNo9RKPNXblh2fbY6sq91qZQGBCrVajVldth6DMPb9ly5aRkZFR6HE3NzcmTpzIpk2bSix8YAyR1b59e8LCwkxlBoOBsLCwAjdPN23alLNnz3Lq1CnTa8iQIfTs2ZNTp04V231Oy9aV2LYCadDN+DPyiNHhvxDcbd0JGxnGD31+wMXGgqIW+z5iHLoHvwzp8bD/KwAW6wbze5PP8fb0YEroCbR6iYGtvPhxfAchfIIaQaWkriwv06dPZ/z48XTo0IFOnTqxYMEC0tPTee45YzazcePG4ePjw9y5c7G2ts7nRufs7AxQIve61Cxt+Yyt2xCcfCE5Em4dgsa9C61qrbSmo2fH8l2vonFvCmPXwqYpEHMejaRkhnYS2S1G0tLbiXc3Gn2Xx3Ty5eNhrURwAkGNwSL/hY8aNYrY2FhmzZpFVFQUbdq0Yfv27aZFkIiICOTyitlIm5ZVzp6fTAaNHocTP8GVbQWKX2xGLK42rpazunvwO/BsBQ27GwV7zTOQEUec5MQkzXTqBHYhsK4t83ZcBuDl7o2Y0a+J5dgvEFQAMqmMXTiFQkFUVBRubm4VbVOlk5KSYlxRmvYbz/dszgdDyply88pfEDoSHLzh9fPGhZAcJEli2KZhGCQDX3T/giZ1zRzpZv9XsOsDUNpAz5kQ9hEYtFxXNuKZtGnU8w+glY8Tyw/cBGBGv6a80qPwOVOBoDLIfUaTk5PLNydfBOUa9k6YMKHYScr169eX9RJVQmp5e35gnPdT2Rv9fO+dBJ/2pkPHoo9xI/kGNkobfOx9yn+t8nBkqVH4wBiVZmdOINpmQ7DvvYBOf0Vgp1aahO/DoS0Y19nfHJYKBJVOmcVv/PjxFWmH2UjMKP/GbKysIaA3XNgIl7bkEb+1l9cCxmTk9ir7QhqoAk79asy1AcZ5ysjDxt+7vw3dZ+CGDAebu6z6NwKAT4e34ulgEYdPUHMps/itWLGiIu0wG3FppfTqKIymg4zid+536PkeyOUkZycTFmFctR4ROKJirlMWLv4Jm/5j/N3aGRJuIClt+KHOG3jVeZrByJi5/ixrjkUik8F/n2zNUx0qf5OpQGBOLHLBoyqJT6uAnh9A0wGgcjC6hEUcAv+ubA/fjsagoXGdxjSv27xirlNabh+Hdc+DZACFCrKSkBy8+c7jQ748Z4vt+rPsOB/F1rNRyGXw5VNBwk9XUCuo9bGHYtOyK2bbjsoOWgwz/n7K6L+76fomAIY1Gma+lVLPlkY3PDB6cPi0Z1WrFXx5zhaZDFp4O7H1bBQKuYxvxrQVwieoNdR68dPoDOXf6JxLm7HGn+c3ciPmDGfjzqKUKc3nx6vJgE2TjWG3AFqPYkfHZbz/dzwATT0dOHozASuFjIVPt2NQ65IHZBUIqju1ethrq5KTBcSlaXCoiJDr9R8xZnWLu4L/1T0s7buUKwlXqt6jIyPBGH356k5jgiWZAkI+5bLf07y+6CAAfi62XLyXikoh5/ux7ejd3KOYRgWCmkWt7vnVtTNu06mwRQ+ZDLpMBUB+eDGPuLVjXItxFdN2SdFmwcqBxv180eeMWdbG/0lKm4m8tOo4GRo9bvZqbsVnYKWQsegZIXyC2kmtFj8XO2MC7fiKEj+A1qPA3sOYzPzsbxXXbknQaWFJD4i5YHzv3hxe3Av+XbFTKenX0hNblYLYtGyUchnfPd2OXs2E8AlqJ7Va/OraG8UvtqJWfAGUav4b0I7/1nUmcu+nxnm3qiD5DnzXHmIvGt8H9IUX94CTcWO1DEjO1JKh0ZsWN0Ja5I+SIxDUFmq1+LnZG4e9MSlZFdZmhjaDdWnXWOXkSHJGLBz8tsLaLpTL22FhJ0i6ZXzf9ll4Zi0o1VyJTiVbq2f2H+f59UgkchnMfyqIAa28Kt8ugcCCqdULHl7O1gDcTsyssDb3RO4hS5+Nr7oOLTQRsH8+NB9qjJ5S0WQlw1/vGYOR5tJyBAz9DoDolCxGL/kXucy4qCOTwRcjgxjaxsxudgKBBVCre371nG0BiEyouKHptvBtAPQPHIksoLcxF8b6F0BXgfOKANd2wfed7wufTGGMzTdsEQB6g8S01adISNcQlzOs/+8TrXmindjHJxBALe/5+dQxhmGPTKwY8UvOTmb/3f0A9G/QHxqPNApU1FljvLzhP+SJ+FImUu7Cztn3F1Pq+MPQ743+xU71QWmcx1y4+xqHbsSbTvt0eCue6ihc1gSCXGq1+NVzNopfdEp2+fL35hAWEYbOoKNxncYE1AkwFo5YBv8baRQra0foPw/kZbiOJh3+XQT/zAdtOiCDji9AnzlG75IHOHozga92XjG9/3BoCxGkQCB4iFo97K1jp8JWZRSiO0nln/fbGr4VgAENBtwvbPQ4DMlZ9Dj6I6weC+lxJW80K8UoeAtawd8fGYWvXicY8jVc/xtiL+WpnpatY+LKo+Q67L0/qLkISyUQFECt7vnJZDJ869hyOTqVyIQMGrmVPeSUJEk0qdOEG0k36OffL+/BNk+DUg0bXjFGe/6uIzw6zbgqa1s3f2OaDIg4CGfWwsU/jKkxwTjE7fGOUVB/6GaMH3h0WZ4QWuOWHSYlJ0bh9D6NmfhogzJ/JoGgJlPmSM7VmQejxL616Srbz0fx3sBmvPBYw3K3bZAMyGWFdKjvnoSNkyHmvPG9TA5ebcAlwCiO2gxjVJios8YgBLm4NYWu06DVSOM5/xsB18OMrnSTdoPaKNorD4TzwZ/GDc5PdajHvBFB5f48AoE5sOhIzjWFQA97tp+Hq9FpFdJeocIH4N3WuPH4zBo4vNjofnb3hPH1MI4+0LivMVhCvQ5G1zmAA98YhU9pAyN/Mglf6OEIk/BN6dmIN0MqYWuNQFCDEOLn6QDA5ejUMreRnJ3MlcQrtHNvh6K4xQylCto9a3wl3oI7xyEpAgxaUKiNQ1uPFsZoyw+HwYo6Z5z3A+j/GXgYYwSuO36bdzYYI7e82K0hb/Q1c54QgaAaIMTPwyh+V6NTkSSpTHH3dt7ayZxDc+js1ZklfZeU/MQ6fsZXSdBmwfoXjcPhJgOgnTGNwB+n7/J/a08D0NLbkbdFljWBoETU6tVeAH8XO6wUMtI1+jJ7euyK2AVQuTl5tRngVM8YpWXwNyCTsf1cFNNWnzSt7LarX6fCUnoKBDWdWv+kqJRymuQMfU9FJpX6/FRNKofvGZMB9fLrVZGm5cW2Ljy9Bib9DfZu/H0pmqm/nsCQo3zuDmre7CeGuwJBSan14gfGHhPAyYikUp+77/Y+dAYdDZ0a0tCp/KvF+TAY7v8uk4Fzff65GsvLq06g1UvIc0a4swe3wLEiArIKBLUEIX5A2/rOAJyISCz1ubnZ2XrVr6Re31/vGbfHZCQA8O+NeCb9fAyNzkBdWxUGCboHujGglQhPJRCUhlq/4AH3e37n7yaXys0tS5fF/jtGX95KGfLePgb/fg9I0GI4x1XteH7lUbK0Blp4O3L+bgpqpZyPhrYUixwCQSkRPT+gfl1bXOxUaPUSZ+8kl/i8w/cOk6nLxMvOq+JTU+o08MdUQILWozhq1Y5xy46QodHzaIArzzzih6O1kpe7N6K+i23FXlsgqAWInh9GN7dHGrqw5ew9/rkSS0f/AlzOCqBbvW78OvBX4jLjKr7ntf8rYzh6WxeON/0/xi83Cl+XRi4sHdcBG5WCkBaeWFuJ/18CQVkQT04OPZq4AbD7cmyJz5HJZLR0bUkP3x4Va0zcNfjnCwCutHufZ369burxLRvfEZucYAx17VTYqsT/L4GgLAjxy6F7jvidvZNMbGoFBx4tDZIE22eAXkOi12MM2etBplbPY41d+XF8B5btv0HYxeiKSbQuENRihPjl4O5gTUsfowP135eii63/0/mfmHVgFmdjz1asISl34e5JDHIrxtweTpZWokcTN5aO60BEQgbzd15h4k/HuHiv7O54AoFAiF8e+rc0JvXZePJusXX/vP4nG65t4GbKzYo1wsmHsD7beEUzjUtaTx5v6s4Pz7bH2krB/L+uYJCgXwtPmntXTqQLgaC2IMTvAYYEeQPwb3g8d4sIbhqVHsXlxMvIZXIe9Xm0Qm347Vgkk367xg5dW0JaeLDomXaolQrO3k5m+/koZDJ4o29ghV5TIKiNCPF7AN+6tnRqUBdJgvUnbhdab9/tfQC0dm1NHes6FXPxxFvsWvcDb607jUGCUR18Wfi0UfgAvtx5GYBhbXxonBOMQSAQlB0hfg8xOifJz8+HbqHRGQqskyt+3X27V8g1DQaJC7+8Qe9zb/G2cjUvdWvIZ0+2Qqkw/nmO3Uxgz+VYFHIZr/VqXCHXFAhqO0L8HmJQa288HNXEpGaz6dSdfMczdZn8e+9fwLjPr7xkavT8d1kozRN2YpBk1Akew8wBzfLsG/zyL2Myoqc61MPf1a6wpgQCQSkQ4vcQKqWcCV2MeS+++fsq2Tp9nuNHo46Src/Gy86Lxs7l64VFp2Tx1OKD9Iw0Jji6XX8wowYPzFNHkiSeecSPtvWdmfK46PUJBBWFEL8CGN/FD3cHNZEJmfxy6FaeY1q9loZODelWr1u5vDqO3Uxg6HcHcI3ayyPyixjkKuo/+Wm+ejKZjIGtvdjwn6745KTaFAgE5cdixW/hwoX4+/tjbW1NcHAwR44cKbTu0qVLeeyxx6hTpw516tShd+/eRdYvDluV0rSiOn/nFSLi7yc17+XXi03DNjGj44wytS1JEkv33WDUkn+JTUlntvVqAOSdXwFnkVRcIKgqLFL81qxZw/Tp05k9ezYnTpwgKCiIkJAQYmJiCqy/Z88exowZw+7duzl06BC+vr707duXO3fyz9mVlJHtfQluUJcMjZ7X1pwkS5t3+GulKH3svKjkLCb+dIxPtl5Eb5D40O8M/oZIsKkDj07PV/+jzRf4Ye910rJ1Zf4cAoGgYCwydWVwcDAdO3bku+++A8BgMODr68vUqVN5++23iz1fr9dTp04dvvvuO8aNG5fveEnT4kUmZDDgm39IzdIxJMibmYM8cbF1QaVQlerzSJLE2uO3+WjzBVKzdKgUct4f3JxnXK8h2zkbgkZDlyl5zomIz6DHF7sxSLB56qO09HEq9joGgwGNRlNsPYHA3FhZWaFQFB46rlamrtRoNBw/fpyZM2eayuRyOb179+bQoUMlaiMjIwOtVkvdukVHZ0lJScnzXq1Wo1arTe9969qy+Jn2jF9+hD9O3+WUdh4Z8mt89thcevv1LpEtR28m8MmWi6YQ+UH1nPh8ZFBO4iQ/aNgTpPxbapb8cx2DBN0C3UokfBqNhvDwcAyGgrfnCASWhrOzM56enshkMrKzs8nOvu9T//CzWRlYnPjFxcWh1+vx8PDIU+7h4cGlS5dK1MaMGTPw9vamd++iBcrXN+8c2+zZs/nggw/ylHUNcOWrUW2YvvYoCfpLyCQdGelFi6reILHvSizL9oez/1ocALYqBa/2aswLjzYw7d8DQC7n4dmHpAwN644bN1m/3L340PiSJHHv3j0UCgW+vr4iiZHAopEkiYyMDNM0lpeXF3PnzmXOnDlVaofFiV95+eyzz1i9ejV79uzB2tq6yLqRkZF5utQP9voeZHCQN9EaFV9f0GHQOvLqz3f5yS+LPs09aObliKO1kkytnptxGZyKTCTsYgzx6cbhp1wGozr68nrvQNwdc+w5FQppMdBpEqjy79tbczSSLK2BZl6OdG7oUuxn1ul0ZGRk4O3tja2tCGwqsHxsbIw7F2JiYnB3d2fmzJlMn35/3jslJSVf56SisTjxc3V1RaFQEB2dN7JKdHQ0np5F56n44osv+Oyzz9i1axetW7cu9lqOjo4lnk9I5BwA9W3ack0h5/itRI7fKjznh5ONFU91qMe4zv741n1AkLRZEPYhpN4Dayfo8Fye8/QGiZ9zttdM6OJXou00er1xMUalKt1cpEBgTnL/UWu1WqytrQvtfFQWFid+KpWK9u3bExYWxrBhwwDjRH5YWBhTpkwp9Lx58+bxySefsGPHDjp06FDhdh28exCA17oOou3gHmw5c49DN+KJTMggNUuHtZUcb2cbmns50i3QjU4N6mKlKGD4eeIno/A51oM2T+c7vOtiNHeSMnG2tWJoG59S2SjyeAiqE+b+vlqc+AFMnz6d8ePH06FDBzp16sSCBQtIT0/nueeMvaRx48bh4+PD3LlzAfjvf//LrFmzCA0Nxd/fn6ioKADs7e2xt7cvtz1R6VFcS7qGXCans1dnnNTWPP9oA55/tEHpGtJmwT/zjb93ewOU+f/T+bnYMrSNN351bUucSEkgEJQeixS/UaNGERsby6xZs4iKiqJNmzZs377dtAgSERGRZ1J/0aJFaDQaRowYkaedghYwysKhu8ZV5pYuLXFSF7/yWiinQyEtKqfX90yBVZp6OvL16LZlv4ZAICgRFil+AFOmTCl0mLtnz54872/evFmptnTw6MDr7V/H1ca17I0Y9HDQ6MNLlymgFPNzFcXKlSuZNm0aSUlJ5jalRjNhwgR++umnfOUTJ07kxx9/NINF5UPsiSgBvo6+PN/yeYY0GlL2Ri7+AQk3jN4c7fJvvM7S6vl060Uu3qv8/U3VgQkTJpjmfItj1KhRXLlypcRt+/v7s2DBgrIZVsvp168f9+7dy/OaP3++uc0qExbb86txuDWFlk8afxawveWvC9Es2XeDzafvsn/G48jlYvGiJGi1WmxsbExbJwSVi1qtLnbXRXVBiF8x/B3xN+nadLr6dKWudcny+RaIezMYsdyYna0A1hyNAGBEB99yC58kSWQ+5ItcVdhYKUq1irdu3TrmzJnDtWvXsLW1pW3btrRt29Y0vMpta/fu3fj7+9OgQQNWr17N999/z+HDh1m8eDFAvmHvn3/+yYcffsjZs2ext7fnscceY8OGDfTo0YNbt27x+uuv8/rrrwOYNRNe7oZfc2Bra2v2FVdzIsSvGH46/xMnYk7w/iPv81STp8rfYAFftsiEDA5ci0cmg5Ht65X7EplaPc1n7Sh3O2XhwochJc4lfO/ePcaMGcO8efMYPnw4qamp/PPPP4wbN46IiAhSUlJYsWIFAHXr1uXuXWNiqbfffpsvv/yStm3bYm1tzY4deT/rli1bGD58OO+++y4///wzGo2GrVu3ArB+/XqCgoJ48cUXmTRpUgV+8rKRkZFRITsSykJaWhp2drU3OK4QvyJI1aRyOvY0AF19upatkXtn4OhS6PIauAYUWOW3Y5EAPBrgmndDdA3n3r176HQ6nnjiCfz8/ABo1aoVYPQAyM7OLnCINW3aNJ544olC2/3kk08YPXp0HnepoKAgwCiiCoUCBweHGjN8E5QNIX5FcOTeEfSSHn9Hf3zsS7fh2MShhXBmNWgyYMSyfIcNBonfc/x4R3WsGHceGysFFz4MqZC2ynLtkhIUFESvXr1o1aoVISEh9O3blxEjRlCnTtFJoYrbxH7q1CmL6NWVBFtbW9LS0sx27YqiRYsW/Pvvv0yfPp2nnnqKiIgI7t69y/vvv19h16hohPgVQa5XR2fvzmVrIDUazv1u/L3zfwqscvRmAneTs3CwVtK7mUeBdUqLTCYr8dDTnCgUCnbu3MnBgwf566+/+Pbbb3n33Xc5fPhwkecVN1SrTosfMpms2g89s7Ky0Ov1ODg4cObMGT7++GM2b97M448/bm7TikRsdSkESZI4cPcAAF29yzjkPb4SDFqo1xF82hdYJSY1G1d7Ff1betZKjw6ZTEbXrl2ZM2cOJ0+eRKVSsWHDBlQqlclnubS0bt2asLCwQo+Xp21Bfi5evEiLFi0wGAzExcXh4eHBmTNnTFMYlorldw/MRERqBHfS7qCUK+no2bH0Deg0cCxnmBv8cqHVBgd507+lZ62M1nz48GHCwsLo27cv7u7uHD58mNjYWJo1a0ZWVhY7duzg8uXLuLi44ORUcs+a2bNn06tXLxo1asTo0aPR6XRs3bqVGTOMqQf8/f3Zt28fo0ePRq1W4+pajs3rAq5cuUJgYCA3btygYcOG6PV6bt++TYMGpXT/rGKE+BXCuThjFJe27m2xtSrD3MiFTZAWDfae0KzozdFKhRxn29rn8eHo6Mi+fftYsGABKSkp+Pn58eWXX9K/f386dOjAnj176NChA2lpaaatLiWhR48erF27lo8++ojPPvsMR0dHunW7n2b0ww8/5KWXXqJRo0ZkZ2ebdatLdWLlypUFliuVSi5cuMDJkydp2bIlX3zxBUOHDrX4bTQWGca+silpiOy4zDiSspIIqFPwKm2RLO0Fd45Bz3eh+1sFVrkWk0pDV/ty7+vLysoiPDycBg0aFBvDUCCoaLKzs5k2bRpr1qyhTp06jB07lvfee6/YEGtFfW9rZRh7S8LVxrVs/rx6HTTqaQxd1X5CgVXSs3UM/vYATjZWbJrSFQ9HIVqC6olarWbRokVERUUxa9Ys2ratHoE5xIJHZaBQwuPvwbSzYO9eYJWwSzFkavWoreS4O1RtEEeBoDK4ePEizZs3N7cZJUaIXwEsPbOUF/56gT2Re8rXkLzw1dsd54wxBwe28rL4uRGBoCRcunSpyqMxlwchfgWwJ3IPh+8dJjGr8DD1hXLxT7jylzGEVSFkafXsvmxM3hLSQngZCATmQIjfQyRnJ3Mu3rjSW+rNzQYD/PUehI68v7m5APZfjSNDo8fLyZrW9coRHFUgEJQZIX4PcfjeYQySgYZODfG0K2WvLHwPJN4EtRM0HVRotR3njUPekBaeYsgrEJgJIX4PceieMWR9F+8upT/5mDECCUGjQFXw3kCd3sCui8bMdH1bVIw7m0AgKD1iq8sDSJLEwTtl9OdNjYbLxrBJhW1vAZDLZCwd14GwSzF08i9HfECBQFAuRM/vASJSI7ibfhelXEkHj1Kmvzy1Cgw6qNcJPFoUWk0ul9HBvy4z+jVFWVBqS0GJEeHoBeVBPH0PkKXLoqtPV7p4dymdS5vBAMdzErs8lIRcYF5kMhkbN240txkCC0QMex+gSd0mLO69uPS+nmlRoHYwLnQ0H1ZotYj4DH7cf4NezTzoHuhWPmMFFYZGoynWFUtQ8xA9vwIo9Qqsoze8vB9eOVDoQgdA2KVofj50i8V7rpfTwprDunXraNWqFTY2Nri4uNC7d2/S09Pp0aMH06ZNy1N32LBhTJgwIU9ZamoqY8aMwc7ODh8fHxYuXGg6lhsIYfjw4chkMtP7Dz74gDZt2vDjjz8Kf+hajOj55RCXGYfOoCv99pZcZDJwLjoS857LsQD0aFLJvT5JAq15kuJgZVtgnpKCKCyHR2l63p9//jnvvPMOc+bMYceOHbz22msEBgbSp08fjh49iru7OytWrKBfv34oFPc9bq5du8bvv//O+vXr85QLag9C/HJYfWk1P5z5gXHNx/F/Hf+v5CfeOwN1GxiHvUWQpdXz7414AHo0Kdjft8LQZsCn3pV7jcJ4526BqTkLoqgcHiWla9euvP322wAEBgZy4MABvvrqK/r06YObm/GfjLOzc758HRqNhp9//tlUR1A8Iml5DSU3ZH2AcynCVxkMsGYsfNkUIo8UWfXQjXiydQa8nawJ9DBPti5L48EcHiNHjmTp0qUkJpbOpbBz58753l+8eLHY8/z8/ITwlQGRtLyGkZCVYApeWqrNzTf+hqQIsHYCz6J7LHsuGX15uzdxr3yvDitbYw/MHJRilbyoHB5yuTzf8Fer1VaYmdU9b4a5EEnLaxgH7hxAQqJJnSZ42JXC6yLXo6P1aLAqOmnOvqtxQBXM94Fxzq2EQ09zk5vDo2vXrsyaNQs/Pz82bNiAm5sb9+7dM9XT6/WcO3eOnj175jn/33//zfe+WbNmpvdWVlYiX4egQIT4Af/c/geAbvW6FVPzAVKj4PI24+9FeHQApGZpydbqkcvgkYYuZbSy5lFUDg87OzumT5/Oli1baNSoEfPnzycpKSlfGwcOHGDevHkMGzaMnTt3snbtWrZs2WI67u/vT1hYGF27dkWtVhebFtNcpKenF3pMoVDkWZEuqq5cLs+Tva6wupXR8924cSPz5s0jOzub7Oxs+vTpw+eff45SaZkyY5lWVSE6g86Upe2xeo+V/MSTq0DSg28weBQdwNHB2ooDbz9OVEoWTjZW5TG3RlFUDg+tVsvp06cZN24cSqWS119/PV+vD+CNN97g2LFjzJkzB0dHR+bPn09IyP2cxV9++SXTp09n6dKl+Pj4cPPmzSr8hCXH3r7weeABAwbkEXR3d3cyMgpeze/evTt79uwxvff39ycuLi5fvYrOXvHzzz/z/fffs379ery9vcnMzOTdd9+1WOEDQKqFJCcnS4CUnJwsHY86LrVc2VLqEtpF0uq1JWtAr5ekr1pK0mxHSTr5v8o1tgRkZmZKFy5ckDIzM81tiqCMAIW+BgwYkKeura1toXW7d++ep66rq2uB9crC+PHjpaFDh+YrT0pKktzc3KTw8PBStVfU9/bBZ7SysGBZrhoC6wTyeffPSc5KRikv4e2IOg1JkcaFjhbDi6wqSRKSRLmTFAlqNmlpaYUee3gfYkxMTKF15fK8Gziqoqe7efNmOnfuXOLsepZCrRc/e5U9/fz7le4k77Yw7QzEXCx2oSMyIZPB3+3n0caufDemrYjfJyiQ0szBVVbdsnLhwgVatmxpej9q1CjOnDlDcHBwoekuLYFaL35lxrm+8VUMB6/HkZypJSYlSwifoEZiY2NDVlaW6f2aNWv45ptvCpxrtCRq9SbnPRF7WHx6MbdSbpX8JG1mqa5x8LrRq6NzozKkwBQILIiVK1cWGCEnJCSE3377jdhYo/umTqdj3759Fp/Cslb3/DZc28Cx5GNYya2Y2Gpi8ScYDPB9Z3BtDIO+Aqd6RVaXJIlDOS5tncUWF0ENpWPHjrz99tv07NkTlUqFSqWiR48e9OrVy9ymFUmtFr/j0cfBGnrVL+Ef6frfkBgOmQlgW7yY3YzPIDY1G5VSTtv6zuUzViCwYJ5//nmef/55c5tRKmr1sFcn6QhwDsDfyb9kJxz5wfgz6OliFzoAjt5MAKC1jxPWViJyiEBgSVis+C1cuBB/f3+sra0JDg7myJGiAwesXbuWpk2bYm1tTatWrdi6dWuJrlPiXl/cNbj6FyCDTpNKdMrxm0Yn/fb+lulVIBDUZixS/NasWcP06dOZPXs2J06cICgoiJCQkEL3Nx08eJAxY8YwceJETp48ybBhwxg2bBjnzp0r9lq9/XqXzKgjS4w/A0PApVGJTmnq5UCnBnWFS5tAYIlU2vbpctCpUydp8uTJpvd6vV7y9vaW5s6dW2D9p556Sho4cGCesuDgYOmll14qsH7u7vH+/+svGQyG4g3KTJKkT7yNHh3X/i75B6kihIdH+dm9e7cESImJieY2pdZgbg8Pi+v5aTQajh8/Tu/e93tkcrmc3r17c+jQoQLPOXToUJ76YFx+L6x+Lr29e5OamkpKSgopKSlkZ2cXXPHMb6BJA7em0LBHqT6PoHAKClUvqJ1kZ2ebnsPcV2Vjcau9cXFx6PV6PDzyhpby8PDg0qVLBZ4TFRVVYP2oqKgirzUr5A3e0Lxheh8YGEiTJk3yVzQYIMUfFAbYMbREnyNDo8NKIceqCtJTuri4MGHCBGQyWbUKyZ6ZmUlSUhJXr141tyncvn0bgOvXr+Po6Ghma2oHer2emJgY5s2bx8GDB7ly5UrVGlBpfcoycufOHQmQDh48mKf8//7v/6ROnToVeI6VlZUUGhqap2zhwoWSu7t7gfVzu9Qxq6dIycnJpldWVlbFfAhJkkYuOij5v71Z2nLmboW1WRjVcdg7fvz4fM72K1askJycnPLU27BhQx5H/NmzZ0tBQUHSzz//LPn5+UmOjo7SqFGjpJSUFFMdvV4vffrpp5K/v79kbW0ttW7dWlq7dm2edrds2SI1btxYsra2lnr06CGtWLFCDHurmAe/t1lZWXmexcjIyNoX2MDV1RWFQkF0dHSe8ujo6EIjyHp6epaqfi7qG7twdPim8IQ7ep3xmLx0vSmt3sDp20lIEjTxLDq3R2UgSRKZutJ5olQUNkqbErnxff3111y5coWWLVvy4YcfAuQJ21QU169fZ+PGjWzevJnExESeeuopPvvsMz755BMA5s6dy6pVq1i8eDGNGzdm3759PPPMM7i5udG9e3ciIyN54oknmDx5Mi+++CLHjh3jjTfeKOaqgspErVajVqur9JoWJ34qlYr27dsTFhbGsGHDADAYDISFhTFlypQCz+ncuTNhYWF55o927tyZL79DPlLuwJ3jUK9DwcePLIFjy6HXLGg+pMSf4XJUKtk6A47WShq6Vn1E5UxdJsGhwVV+XYDDTx8uUcJ3JycnVCoVtra2pn9SJR2yGwwGVq5ciYOD8R/Ls88+S1hYGJ988gnZ2dl8+umn7Nq1y/T3b9iwIfv37+eHH36ge/fuLFq0iEaNGvHll18C0KRJE86ePct///vfsnxkQTXF4sQPYPr06YwfP54OHTrQqVMnFixYQHp6Os899xwA48aNw8fHh7lz5wLw2muv0b17d7788ksGDhzI6tWrOXbsGEuWLCn+YseWFyx+6XGw5zPITjZ6dJSC07eTAGhdz1kEM6gE/P39TcIH4OXlZdoGde3aNTIyMujTp0+eczQajcnX9OLFiwQH5/3nUOw/SkGNwyLFb9SoUcTGxjJr1iyioqJo06YN27dvNy1qRERE5Ilb1qVLF0JDQ3nvvfd45513aNy4MRs3bswTZqdQzq419uwcHhoi//WeUfg8W0PbZ0tl/5nIZABa13Mq1XkVhY3ShsNPHzbbtctKSZMWWVnljYYtk8kwGAzA/bh4W7ZswcfHJ0+9qh5WCSwbixQ/gClTphQ6zH0wTHcuI0eOZOTIkaW7iHd7iD8BYR/CsO/vl5/5DU7/CjI5DPii1HN+D/b8zIFMJivR0NPcqFSqPMmF3NzcSE1NJT093RSH7tSpU6Vqs3nz5qjVaiIiIujevXuBdZo1a8Yff/yRp+zhREiCmo/F7fOrUnq9b/xpUwdyexznN8Kmycbfu/0f1C/d3FmmRs/VGGPvw1w9v+qCv78/hw8f5ubNm8TFxREcHIytrS3vvPMO169fJzQ0tNTBMB0cHHjzzTd5/fXX+emnn7h+/TonTpzg22+/NSXcfvnll7l69Sr/93//x+XLl8t0HUH1p3aLX70O8MLfEPKJcVU3+gKsHQ96DTQbAt3eKnWTEhJzhrRgQhd/vJysiz+hFvPmm2+iUCho3rw5bm5upKSksGrVKrZu3UqrVq349ddf+eCDD0rd7kcffcT777/P3LlzadasGf369WPLli00aNAAgPr16/P777+zceNGgoKCWLx4MZ9++mkFfzqBpSOTHp5kqQWkpKTg5OREcnJy3g2tkgQ/dINGPeHx90FRPTKtZWVlER4eToMGDfKkOBQILJmivreFPqMViMXO+ZkFmQxe3FPqOT6BQFD9qN3D3oIop/BtOnWHs7eT0ekNFWSQQCCoDIT4VSDp2TqmrTnF4O/2k5yZf4uGQCCwHIT4VSCXolKRJHB3UONiL/aUCQSWjBC/CuTiPWMYnmZeIiqIQGDpCPGrQMwtfrVw4V5QjTH391WIXwWSK37NvatW/HIDAmg0miq9rkBQHjIyMoD87opVhdjqUkEYDBKXolIBaO5VtWGslEoltra2xMbGYmVllcfvWSCwNCRJIiMjg5iYGJydnc0WgFeIXwURkZBBhkaPWinH36Vqw1jJZDK8vLwIDw/n1q1bVXptgaCsODs7FxtzszIR4ldBeDha88vETsSkZKOsgtD1D6NSqWjcuLEY+gqqBVZWVuZPuVBpMaItmJiYGGMY+5gYc5tSarKysqTZs2dXaMj9qqC62i1J1df26mq3JFXNM1orfXtv376Nr68vkZGR1KtXz9zmlIqq8HmsDKqr3VB9ba+udkPVPKNiZryC+H7PNf44fZcMjc7cpggEghIg5vwqgPRsHfO2Xwbg5Pt9sFWZ2SCBQFAstVL8ckf6uQnLy8u5O0kYsjNwsbNCoc8iJSWr3G0WRq69VZHUuSKprnZD9bW9utoNxmcTKncjdK2c87tx4waNGjUytxkCgaAYrl+/TsOGDSul7VopfgaDgbt37+Lg4CCyqwkEFogkSaSmpuLt7V1pm/ZrpfgJBAKBWO0VCAS1EiF+AoGgViLETyAQ1EpqrPgtXLgQf39/rK2tCQ4O5siRI0XWX7t2LU2bNsXa2ppWrVqxdevWKrL0PnPnzqVjx444ODjg7u7OsGHDuHz5cpHnrFy5EplMludV1RncPvjgg3w2NG3atMhzLOF+gzF38MO2y2QyJk+eXGB9c93vffv2MXjwYLy9vZHJZGzcuDHPcUmSmDVrFl5eXtjY2NC7d2+uXr1abLulfU4q2natVsuMGTNo1aoVdnZ2eHt7M27cOO7evVtkm2X5zj1MjRS/NWvWMH36dGbPns2JEycICgoiJCSEmJiYAusfPHiQMWPGMHHiRE6ePMmwYcMYNmwY586dq1K79+7dy+TJk/n333/ZuXMnWq2Wvn37kp6eXuR5jo6O3Lt3z/QyR2SXFi1a5LFh//79hda1lPsNcPTo0Tx279y5E4CRI0cWeo457nd6ejpBQUEsXLiwwOPz5s3jm2++YfHixRw+fBg7OztCQkLIyip8z2lpn5PKsD0jI4MTJ07w/vvvc+LECdavX8/ly5cZMmRIse2W5jtXIJXmNWxGOnXqJE2ePNn0Xq/XS97e3tLcuXMLrP/UU09JAwcOzFMWHBwsvfTSS5VqZ3HkOnfv3bu30DorVqyQnJycqs6oApg9e7YUFBRU4vqWer8lSZJee+01qVGjRpLBYCjwuCXcb0DasGGD6b3BYJA8PT2lzz//3FSWlJQkqdVq6ddffy20ndI+JxXBw7YXxJEjRyRAunXrVqF1SvudK4ga1/PTaDQcP36c3r17m8rkcjm9e/fm0KFDBZ5z6NChPPUBQkJCCq1fVSQnJwNQt27dIuulpaXh5+eHr68vQ4cO5fz581VhXh6uXr2Kt7c3DRs2ZOzYsURERBRa11Lvt0ajYdWqVTz//PNF7v+0hPv9IOHh4URFReW5p05OTgQHBxd6T8vynFQVycnJyGQynJ2di6xXmu9cQdQ48YuLi0Ov1+Ph4ZGn3MPDg6ioqALPiYqKKlX9qsBgMDBt2jS6du1Ky5YtC63XpEkTli9fzqZNm1i1ahUGg4EuXbpw+/btKrM1ODiYlStXsn37dhYtWkR4eDiPPfaYyUXpYSzxfgNs3LiRpKQkJkyYUGgdS7jfD5N730pzT8vynFQFWVlZzJgxgzFjxhQZiaa037mCqJW+vdWByZMnc+7cuWLnMTp37kznzp1N77t06UKzZs344Ycf+OijjyrbTAD69+9v+r1169YEBwfj5+fHb7/9xsSJE6vEhopg2bJl9O/fH29v70LrWML9rqlotVqeeuopJEli0aJFRdatiO9cjev5ubq6olAoiI6OzlMeHR1daMhsT0/PUtWvbKZMmcLmzZvZvXt3qWOZWVlZ0bZtW65du1ZJ1hWPs7MzgYGBhdpgafcb4NatW+zatYsXXnihVOdZwv3OvW+luadleU4qk1zhu3XrFjt37ix1/MHivnMFUePET6VS0b59e8LCwkxlBoOBsLCwPP+xH6Rz58556gPs3Lmz0PqVhSRJTJkyhQ0bNvD333/ToEGDUreh1+s5e/YsXl5elWBhyUhLS+P69euF2mAp9/tBVqxYgbu7OwMHDizVeZZwvxs0aICnp2eee5qSksLhw4cLvadleU4qi1zhu3r1Krt27cLFxaXUbRT3nSuQci2XWCirV6+W1Gq1tHLlSunChQvSiy++KDk7O0tRUVGSJEnSs88+K7399tum+gcOHJCUSqX0xRdfSBcvXpRmz54tWVlZSWfPnq1Su1955RXJyclJ2rNnj3Tv3j3TKyMjw1TnYdvnzJkj7dixQ7p+/bp0/PhxafTo0ZK1tbV0/vz5KrP7jTfekPbs2SOFh4dLBw4ckHr37i25urqaQpBb6v3ORa/XS/Xr15dmzJiR75il3O/U1FTp5MmT0smTJyVAmj9/vnTy5EnTiuhnn30mOTs7S5s2bZLOnDkjDR06VGrQoIGUmZlpauPxxx+Xvv32W9P74p6TqrBdo9FIQ4YMkerVqyedOnUqz/c+Ozu7UNuL+86VhBopfpIkSd9++61Uv359SaVSSZ06dZL+/fdf07Hu3btL48ePz1P/t99+kwIDAyWVSiW1aNFC2rJlSxVbbNwGUNBrxYoVpjoP2z5t2jTT5/Tw8JAGDBggnThxokrtHjVqlOTl5SWpVCrJx8dHGjVqlHTt2rVCbZYky7jfuezYsUMCpMuXL+c7Zin3e/fu3QV+N3JtMxgM0vvvvy95eHhIarVa6tWrV77P4+fnJ82ePTtPWVHPSVXYHh4eXuj3fvfu3YXaXtx3riSIqC4CgaBWUuPm/AQCgaAkCPETCAS1EiF+AoGgViLETyAQ1EqE+AkEglqJED+BQFArEeInEAhqJUL8BAJBrUSIn8Di6dGjB9OmTTO3GYIahhA/QY1gzpw51KtXr8B8HA++9uzZY25TBRaCiOcnqBFs2rSJ+fPn061bN1PZa6+9RkpKCitWrDCVFRcVW1B7ED0/QbVjy5YtODk58b///Q+AyMhIzp8/T79+/fD09DS9bGxsUKvVecpUKpWZrRdYCqLnJ6hWhIaG8vLLLxMaGsqgQYMA+OOPP+jRo0epA2AKajei5yeoNixcuJD//Oc//PnnnybhA+OQtySpDgWCBxE9P0G1YN26dcTExHDgwAE6duxoKk9JSWHv3r0sW7bMjNYJqiOi5yeoFrRt2xY3NzeWL1/OgyEot23bRvPmzfH19TWjdYLqiBA/QbWgUaNG7N69m02bNjF16lRT+aZNmxg6dKgZLRNUV4T4CaoNgYGB7N69m99//51p06ah0+nYtm2bmO8TlAkx5yeoVjRp0oS///6bHj16sHfvXuzt7WnXrp25zRJUQ0QOD0G15dVXX0Wn0/H999+b2xRBNUT0/ATVlpYtW5o116+geiN6fgKBoFYiFjwEAkGtRIifQCColQjxEwgEtRIhfgKBoFYixE8gENRKhPgJBIJaiRA/gUBQKxHiJxAIaiVC/AQCQa3k/wHZDeNCTp+xCAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams['ytick.right'] = True \n", "plt.rcParams['ytick.labelright'] = False \n", "plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True\n", "plt.rcParams[\"xtick.top\"] = True\n", "plt.rcParams['xtick.direction']='in'\n", "plt.rcParams['ytick.direction']='in'\n", "\n", "fig,ax=plt.subplots()\n", "fig.set_size_inches(3,3.5)\n", "\n", "plt.plot(kdense,gravitinoratetotal[1],\"C0\",label=r\"strict\")\n", "plt.plot(kdense,gravitonratetotal[1],\"C0--\")\n", "\n", "plt.plot(kdense,gravitinoratetotal[2],\"C1\",label=r\"subtr\")\n", "plt.plot(kdense,gravitonratetotal[2],\"C1--\")\n", "\n", "plt.plot(kdense,gravitinoratetotal[3],\"C2\",label=r\"tuned\")\n", "plt.plot(kdense,gravitonratetotal[3],\"C2--\")\n", "\n", "plt.xlim(0,12.5)\n", "plt.ylim(-0.1,1.)\n", "plt.xlabel(\"k/T\")\n", "plt.ylabel(r\"$\\Gamma/\\kappa^2T^3$\")\n", "plt.title(r\"MSSM, $T=10^8$ GeV\")\n", "plt.axhline(0,color='k',linewidth=0.5)\n", "plt.plot(kdense,10*gravitinoratetotal[3],\"k\",label=r\"$\\Gamma_\\psi$\")\n", "plt.plot(kdense,10*gravitinoratetotal[3],\"k--\",label=r\"$\\Gamma_G$\")\n", "\n", "plt.legend(ncols=2)\n", "plt.savefig('../../../gravitinopaper/susy_k.pdf',bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "6ff60913", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams['ytick.right'] = True \n", "plt.rcParams['ytick.labelright'] = False \n", "plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True\n", "plt.rcParams[\"xtick.top\"] = True\n", "plt.rcParams['xtick.direction']='in'\n", "plt.rcParams['ytick.direction']='in'\n", "phsp=kdense*kdense/(numpy.exp(kdense)+1.)/(2.*numpy.pi**2)\n", "plt.plot(kdense,phsp*gravitinorategauge[0][1],\"C0:\")\n", "plt.plot(kdense,phsp*gravitinorategauge[0][2],\"C0--\")\n", "plt.plot(kdense,phsp*gravitinorategauge[0][3],\"C0\",label=\"U(1)\")\n", "plt.plot(kdense,phsp*gravitinorategauge[1][1],\"C1:\")\n", "plt.plot(kdense,phsp*gravitinorategauge[1][2],\"C1--\")\n", "plt.plot(kdense,phsp*gravitinorategauge[1][3],\"C1\",label=\"SU(2)\")\n", "plt.plot(kdense,phsp*gravitinorategauge[2][1],\"C2:\")\n", "plt.plot(kdense,phsp*gravitinorategauge[2][2],\"C2--\")\n", "plt.plot(kdense,phsp*gravitinorategauge[2][3],\"C2\",label=\"SU(3)\")\n", "plt.plot(kdense,phsp*gravitinoratetop[1],\"C3\",label='top')\n", "plt.plot(kdense,phsp*gravitinoratetotal[1],\"k:\")\n", "plt.plot(kdense,phsp*gravitinoratetotal[2],\"k--\")\n", "plt.plot(kdense,phsp*gravitinoratetotal[3],\"k\",label=\"total\")\n", "\n", "plt.xlim(0,12)\n", "plt.ylim(0,0.014)\n", "plt.xlabel(\"k/T\")\n", "plt.ylabel(r\"$\\Gamma k^2 n_\\mathrm{F}(k)/2\\pi^2T^5\\kappa^2$\")\n", "plt.title(r\"MSSM $m_s=3/2$ gravitino rate, $T=10^8$ GeV\")\n", "\n", "plt.legend(ncols=3)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "14a8a304", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams['ytick.right'] = True \n", "plt.rcParams['ytick.labelright'] = False \n", "plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True\n", "plt.rcParams[\"xtick.top\"] = True\n", "plt.rcParams['xtick.direction']='in'\n", "plt.rcParams['ytick.direction']='in'\n", "\n", "fig,(ax,ax2)=plt.subplots(ncols=2,figsize=(7,3.5))\n", "fig.tight_layout(pad=3.2)\n", "\n", "ax.plot(kdense,gravitinoratetotal[1],\"C0\",label=r\"strict\")\n", "ax.plot(kdense,gravitonratetotal[1],\"C0--\")\n", "\n", "\n", "ax.plot(kdense,gravitinoratetotal[2],\"C1\",label=r\"subtr\")\n", "ax.plot(kdense,gravitonratetotal[2],\"C1--\")\n", "\n", "ax.plot(kdense,gravitinoratetotal[3],\"C2\",label=r\"tuned\")\n", "ax.plot(kdense,gravitonratetotal[3],\"C2--\")\n", "\n", "ax.set_xlim(0,12.5)\n", "ax.set_ylim(-0.1,1.)\n", "ax.set_xlabel(\"k/T\")\n", "ax.set_ylabel(r\"$\\Gamma/\\kappa^2T^3$\")\n", "ax.set_title(r\"MSSM, $T=10^8$ GeV\")\n", "ax.axhline(0,color='k',linewidth=0.5)\n", "ax.plot(kdense,10*gravitinoratetotal[3],\"k\",label=r\"$\\Gamma_\\psi$\")\n", "ax.plot(kdense,10*gravitinoratetotal[3],\"k--\",label=r\"$\\Gamma_G$\")\n", "\n", "ax.legend(ncols=2)\n", "\n", "\n", "phsp=kdense*kdense/(numpy.exp(kdense)+1.)#/(numpy.pi**2)\n", "phspG=kdense*kdense/(numpy.expm1(kdense))#/(numpy.pi**2)\n", "kdense2=numpy.insert(kdense,0,0.0001)\n", "phspG2=kdense2*kdense2/(numpy.expm1(kdense2))#/(numpy.pi**2)\n", "gravitonstrict= numpy.insert(gravitonratetotal[1],0,0.)\n", "\n", "\n", "ax2.plot(kdense,phsp*gravitinoratetotal[1],\"C0\",label=r\"strict\")\n", "ax2.plot(kdense2,phspG2*gravitonstrict,\"C0--\")\n", "\n", "ax2.plot(kdense,phsp*gravitinoratetotal[2],\"C1\",label=r\"subtr\")\n", "ax2.plot(kdense,phspG*gravitonratetotal[2],\"C1--\")\n", "\n", "ax2.plot(kdense,phsp*gravitinoratetotal[3],\"C2\",label=r\"tuned\")\n", "ax2.plot(kdense,phspG*gravitonratetotal[3],\"C2--\")\n", "\n", "ax2.set_xlim(0,12.5)\n", "ax2.set_ylim(-0.25,0.3)\n", "ax2.set_xlabel(\"k/T\")\n", "ax2.set_ylabel(r\"$\\Gamma k^2 n(k)/T^5\\kappa^2$\")\n", "ax2.set_title(r\"MSSM, $T=10^8$ GeV\")\n", "ax2.axhline(0,color='k',linewidth=0.5)\n", "ax2.plot(kdense,10*gravitinoratetotal[3],\"k\",label=r\"$\\Gamma_\\psi$\")\n", "ax2.plot(kdense,10*gravitinoratetotal[3],\"k--\",label=r\"$\\Gamma_G$\")\n", "\n", "ax2.legend(ncols=2)\n", "plt.savefig('../../../gravitinopaper/susy_combi.pdf',bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "633e3e30", "metadata": {}, "source": [ "the figure above explains why negativity is much more dramatic in the axion case" ] }, { "cell_type": "markdown", "id": "47941b8d", "metadata": {}, "source": [ "do the same plot at a lower temperature, 10 TeV" ] }, { "cell_type": "code", "execution_count": 24, "id": "156bc241", "metadata": {}, "outputs": [], "source": [ "gaugecouplingslow=grunpi(1e4)\n", "ht=0.7\n", "\n", "kdense2=numpy.logspace(-2,numpy.log10(12),100)\n", "gravitonrategauge2=[]\n", "gravitinorategauge2=[]\n", "for i in range(3):\n", " gaugevec = [0,0,0]\n", " gaugevec[i] = gaugecouplingslow[i]\n", " gravitonrategauge2.append(graviton.rate(kdense2,1,(*gaugevec,1),0))\n", " gravitinorategauge2.append(gravitino.rate(kdense2,1,(*gaugevec,1),0))\n", "\n", "gravitonratetop2=graviton.rate(kdense2,1,(0,0,0,ht),0)\n", "gravitinoratetop2=gravitino.rate(kdense2,1,(0,0,0,ht),0)\n", "\n", "gravitonratetotal2=graviton.rate(kdense2,1,(*gaugecouplingslow,ht),0)\n", "gravitinoratetotal2=gravitino.rate(kdense2,1,(*gaugecouplingslow,ht),0)" ] }, { "cell_type": "code", "execution_count": null, "id": "595b2931", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams['ytick.right'] = True \n", "plt.rcParams['ytick.labelright'] = False \n", "plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True\n", "plt.rcParams[\"xtick.top\"] = True\n", "plt.rcParams['xtick.direction']='in'\n", "plt.rcParams['ytick.direction']='in'\n", "plt.plot(kdense2,gravitinorategauge2[0][1],\"C0:\")\n", "plt.plot(kdense2,gravitinorategauge2[0][2],\"C0--\")\n", "plt.plot(kdense2,gravitinorategauge2[0][3],\"C0\",label=\"U(1)\")\n", "plt.plot(kdense2,gravitinorategauge2[1][1],\"C1:\")\n", "plt.plot(kdense2,gravitinorategauge2[1][2],\"C1--\")\n", "plt.plot(kdense2,gravitinorategauge2[1][3],\"C1\",label=\"SU(2)\")\n", "plt.plot(kdense2,gravitinorategauge2[2][1],\"C2:\")\n", "plt.plot(kdense2,gravitinorategauge2[2][2],\"C2--\")\n", "plt.plot(kdense2,gravitinorategauge2[2][3],\"C2\",label=\"SU(3)\")\n", "plt.plot(kdense2,gravitinoratetop2[1],\"C3\",label='top')\n", "plt.plot(kdense2,gravitinoratetotal2[1],\"k:\")\n", "plt.plot(kdense2,gravitinoratetotal2[2],\"k--\")\n", "plt.plot(kdense2,gravitinoratetotal2[3],\"k\",label=\"total\")\n", "\n", "plt.xlim(0,12)\n", "plt.ylim(0,1.1)\n", "plt.xlabel(\"k/T\")\n", "plt.ylabel(r\"$\\Gamma_\\psi/\\kappa^2T^3$\")\n", "plt.title(r\"MSSM, $T=10^4$ GeV\")\n", "\n", "plt.legend(ncols=3)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "6788e64f", "metadata": {}, "source": [ "### do the momentum integrands as in [2408.16043](https://arxiv.org/pdf/2408.16043). The top one is constant, so we can treat it separately" ] }, { "cell_type": "code", "execution_count": null, "id": "a3526158", "metadata": {}, "outputs": [], "source": [ "from scipy.integrate import trapezoid, quad, quad_vec\n", "\n", "ngs=30\n", "gvec=numpy.linspace(0.01,1.4,ngs)\n", "fnfinal=[]\n", "fnfinalG=[]\n", "for ik in range(0,ngs):\n", " print(ik,end=\"\\r\")\n", " fn=[[0,0,0],[0,0,0],[0,0,0]]\n", " fnG=[[0,0,0],[0,0,0],[0,0,0]]\n", "\n", " gtest=gvec[ik]\n", " def ratevec(x,j,i):\n", " #add factor of 2 for degeneracy\n", " #factor out factor of 1/pi^2\n", " statfac=x*x/(numpy.exp(x)+1.)\n", " coupvec=[0,0,0,0]\n", " coupvec[j]=gtest\n", " evalf=numpy.asarray(gravitino.rate(x,1,tuple(coupvec),i)[1:]).astype(numpy.float64).flatten()\n", " return statfac*evalf\n", " \n", " def ratevecG(x,j,i):\n", " #add factor of 2 for degeneracy\n", " #factor out factor of 1/pi^2\n", " statfac=x*x/(numpy.expm1(x))\n", " coupvec=[0,0,0,0]\n", " coupvec[j]=gtest\n", " evalf=numpy.asarray(graviton.rate(x,1,tuple(coupvec),i)[1:]).astype(numpy.float64).flatten()\n", " return statfac*evalf\n", " \n", " for j in range(0,3):\n", " for i in range(1,4):\n", " fn[j][i-1]=quad(ratevec,0.,15.,args=(j,i),epsrel=1e-6)[0]/((gtest**2)*3*1.20206)*64*numpy.pi\n", " fnG[j][i-1]=quad(ratevecG,0.,15.,args=(j,i),epsrel=1e-6)[0]/((gtest**2)*4*1.20206)*64*numpy.pi\n", " fnfinal.append(fn)\n", " fnfinalG.append(fnG)" ] }, { "cell_type": "code", "execution_count": 78, "id": "d7b8384a", "metadata": {}, "outputs": [], "source": [ "numpy.save(\"../../../gravitinopaper/fnfinal.npy\",fnfinal)\n", "numpy.save(\"../../../gravitinopaper/fnfinalG.npy\",fnfinalG)" ] }, { "cell_type": "markdown", "id": "c57a22a1", "metadata": {}, "source": [ "The top contribution is in reasonable numerical agreeement with the value (1.30) given by [Rychkov Strumia](https://arxiv.org/pdf/hep-ph/0701104). [2408.16043](https://arxiv.org/pdf/2408.16043) claims their matrix element squared is 12 times smaller, which would be problematic because it would break the SUSY relation between the graviton and the gravitino value. Keeping their (apparently more precise) numerical values, multiplying by 12 and accounting for normalisation, one finds" ] }, { "cell_type": "code", "execution_count": 30, "id": "7e2de51e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.2709364732754482" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "0.25957*1e-3*6*12/9*2*numpy.pi**5" ] }, { "cell_type": "code", "execution_count": 30, "id": "34089085", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle 1.28594065123376$" ], "text/plain": [ "1.28594065123376" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mykdense=numpy.logspace(numpy.log10(0.01),numpy.log10(15),1000)\n", "mykdense=numpy.linspace(0.01,15,1000)\n", "\n", "ratetop=gravitino.rate(mykdense,1,(0.,0.,0.,1),0)\n", "integrandtop=2*mykdense*mykdense*numpy.exp(-mykdense)/(numpy.exp(-mykdense)+1.)/(2*numpy.pi*numpy.pi)*ratetop[1]\n", "trapezoid(integrandtop,mykdense)*8*numpy.pi**5/9" ] }, { "cell_type": "markdown", "id": "822fa87e", "metadata": {}, "source": [ "so our result is kind of halfway between the two" ] }, { "cell_type": "markdown", "id": "589f9296", "metadata": {}, "source": [ "what happens if we treat separately the s, t and u Yukawa contributions?" ] }, { "cell_type": "code", "execution_count": 31, "id": "26321e3e", "metadata": {}, "outputs": [], "source": [ "gravitinondictStop=({(-1,1,1):'kappa^2*ht^2*9*(s)'},{'gauge': (),'noneq': ('kappa',), 'others': ('ht',)},{})\n", "gravitinotopS=NumRate(*gravitinondictStop,1)\n", "gravitinondictTtop=({(1,1,-1):'-kappa^2*ht^2*9*(t)'},{'gauge': (),'noneq': ('kappa',), 'others': ('ht',)},{})\n", "gravitinotopT=NumRate(*gravitinondictTtop,1)\n", "gravitinondictUtop=({(1,-1,1):'-kappa^2*ht^2*9*(u)'},{'gauge': (),'noneq': ('kappa',), 'others': ('ht',)},{})\n", "gravitinotopU=NumRate(*gravitinondictUtop,1)" ] }, { "cell_type": "code", "execution_count": null, "id": "40255763", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gravitinorateplothtS=gravitinotopS.rate(k,1,(1,),0)\n", "gravitinorateplothtT=gravitinotopT.rate(k,1,(1,),0)\n", "gravitinorateplothtU=gravitinotopU.rate(k,1,(1,),0)\n", "plt.rcParams['ytick.right'] = True \n", "plt.rcParams['ytick.labelright'] = False \n", "plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True\n", "plt.rcParams[\"xtick.top\"] = True\n", "plt.rcParams['xtick.direction']='in'\n", "plt.rcParams['ytick.direction']='in'\n", "\n", "plt.plot(k,gravitinorateplothtdict[1],\"k\",label=\"gravitino (3/2 component only)\")\n", "plt.plot(k,gravitinorateplothtS[1],\"r\",label=\"gravitino (3/2 component only) s\")\n", "plt.plot(k,gravitinorateplothtT[1],\"b--\",label=\"gravitino (3/2 component only) t\")\n", "plt.plot(k,gravitinorateplothtU[1],\"g:\",label=\"gravitino (3/2 component only) u\")\n", "plt.plot(k,gravitinorateplothtS[1]+gravitinorateplothtT[1]+gravitinorateplothtU[1],\"r:\",label=\"gravitino (3/2 component only) sum\")\n", "\n", "plt.xlim(0,12)\n", "plt.ylim(0.,0.125)\n", "plt.xlabel(\"k/T\")\n", "plt.ylabel(r\"$\\Gamma/T^3\\kappa^2\\vert h_t\\vert^2$\")\n", "plt.title(r\"MSSM, gravitino, $\\vert h_t\\vert^2$ contribution only\")\n", "\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 35, "id": "dd7c33da", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.270918092424348\n" ] } ], "source": [ "from scipy.integrate import quad\n", "def integrand(x):\n", " return gravitinotopS.rate(x,1,(1,),0)[1]*x*x*numpy.exp(-x)/(numpy.exp(-x)+1.)\n", "\n", "myres=quad(integrand,0.,numpy.inf)[0]*8*numpy.pi**3/9*2.\n", "print(myres)" ] }, { "cell_type": "markdown", "id": "d0979155", "metadata": {}, "source": [ "this is well within the numerical accuracy of the result provided by Eberl et al" ] }, { "cell_type": "code", "execution_count": 107, "id": "97df8103", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.5957e-04\n" ] } ], "source": [ "print(\"%.4e\"%(myres/(6*12/9*2*numpy.pi**5)))" ] }, { "cell_type": "markdown", "id": "47c469da", "metadata": {}, "source": [ "if we combine the s and t eberl result we get instead" ] }, { "cell_type": "code", "execution_count": 110, "id": "0a29a0da", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.2859926417668837" ] }, "execution_count": 110, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(6*12/9*2*numpy.pi**5)*(0.5*2.5957e-4+1.3286e-4)" ] }, { "cell_type": "code", "execution_count": 36, "id": "3c943243", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.3010505839101127\n" ] } ], "source": [ "def integrand(x):\n", " return gravitinotopT.rate(x,1,(1,),0)[1]*x*x*numpy.exp(-x)/(numpy.exp(-x)+1.)\n", "\n", "myresT=quad(integrand,0.,numpy.inf)[0]*8*numpy.pi**3/9*4.\n", "print(myresT)" ] }, { "cell_type": "code", "execution_count": 114, "id": "85dd2e5a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.2859843381672302" ] }, "execution_count": 114, "metadata": {}, "output_type": "execute_result" } ], "source": [ "0.5*(myres+myresT)" ] }, { "cell_type": "code", "execution_count": 37, "id": "243193a8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.285984337290399\n" ] } ], "source": [ "def integrand(x):\n", " return gravitino.rate(x,1,(0.,0.,0.,1),0)[1]*x*x*numpy.exp(-x)/(numpy.exp(-x)+1.)\n", "\n", "myrestot=quad(integrand,0.,100.)[0]*8*numpy.pi**3/9\n", "print(myrestot)" ] }, { "cell_type": "markdown", "id": "78c1720b", "metadata": {}, "source": [ "very suggestive: we get the Eberl result if we take twice the s-channel rate and we get the Rychkov result if we take twice the t+u rate." ] }, { "cell_type": "code", "execution_count": 38, "id": "573c7d2f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(k,gravitinorateplothtS[1],\"r\",label=\"gravitino (3/2 component only) s\")\n", "plt.plot(k,2*gravitinorateplothtT[1],\"b--\",label=\"gravitino (3/2 component only) 2*t\")\n", "plt.xlim(0,12)\n", "plt.ylim(0.,0.125)\n", "plt.xlabel(\"k/T\")\n", "plt.ylabel(r\"$\\Gamma/T^3\\kappa^2\\vert h_t\\vert^2$\")\n", "plt.title(r\"MSSM, gravitino, $\\vert h_t\\vert^2$ contribution only\")\n", "\n", "plt.legend()\n", "plt.show()\n", "\n", "kfac=k*k/(numpy.exp(k)+1.)/(numpy.pi**2)\n", "\n", "plt.plot(k,kfac*gravitinorateplothtS[1],\"r\",label=\"gravitino (3/2 component only) s\")\n", "plt.plot(k,kfac*2*gravitinorateplothtT[1],\"b--\",label=\"gravitino (3/2 component only) 2*t\")\n", "plt.xlim(0,12)\n", "plt.ylim(0.,0.0007)\n", "plt.xlabel(\"k/T\")\n", "plt.ylabel(r\"$\\Gamma k^2n_\\mathrm{F}(k)/\\pi^2T^3\\kappa^2\\vert h_t\\vert^2$\")\n", "plt.title(r\"MSSM, gravitino, $\\vert h_t\\vert^2$ contribution only\")\n", "\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "b0cd33cc", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qcdtuned=[]\n", "qcdstrict=[]\n", "qcdsubtr=[]\n", "for line in fnfinal:\n", " qcdtuned.append(line[2][2])\n", " qcdstrict.append(line[2][0])\n", " qcdsubtr.append(line[2][1])\n", "plt.plot(gvec,gvec**2*numpy.asarray(qcdstrict),\"k:\",label=\"strict LO\")\n", "plt.plot(gvec,gvec**2*numpy.asarray(qcdsubtr),\"k--\",label=\"subtr\")\n", "plt.plot(gvec,gvec**2*numpy.asarray(qcdtuned),\"k\",label=\"tuned\")\n", "plt.plot(gvec,2*20*gvec*gvec*numpy.log(3/gvec),\"C0-.\",label=r\"1003.5847\")\n", "plt.plot(gvec,gvec**2*43.34 *numpy.log(3.041/gvec),\"C1-.\",label=\"1512.05701\")\n", "plt.plot(gvec,gvec**2*29.40 *numpy.log(3.07/gvec),\"C2-.\",label=\"2408.16043\")\n", "\n", "plt.plot(gvec,gvec**2*72 *numpy.log(1.271/gvec),\"b:\",label=\"hep-ph/0608344\")\n", "\n", "\n", "\n", "#put a vertical line at the value of the GUT coupling in 2408.16043. U(1) and SU(2) are only \n", "#used at smaller couplings because of Landau pole, SU(3) at larger couplings because of asymptotic freedom\n", "plt.axvline(numpy.sqrt(4*numpy.pi/24))\n", "plt.title(\"averaged rate, SU(3) contribution\")\n", "plt.legend()\n", "plt.xlim(0,1.4)\n", "plt.ylim(0,80)\n", "plt.xlabel(r\"$g_3$\")\n", "plt.ylabel(\"$F_3$\")\n", "\n", "plt.show()\n", "\n", "\n", "qcdtunedG=[]\n", "qcdstrictG=[]\n", "qcdsubtrG=[]\n", "for line in fnfinalG:\n", " qcdtunedG.append(line[2][2])\n", " qcdstrictG.append(line[2][0])\n", " qcdsubtrG.append(line[2][1])\n", "plt.plot(gvec,gvec**2*numpy.asarray(qcdstrictG),\"r:\",label=\"strict LO\")\n", "plt.plot(gvec,gvec**2*numpy.asarray(qcdsubtrG),\"b--\",label=\"subtr\")\n", "plt.plot(gvec,gvec**2*numpy.asarray(qcdtunedG),\"k\",label=\"tuned\")\n", "#put a vertical line at the value of the GUT coupling in 2408.16043. U(1) and SU(2) are only \n", "#used at smaller couplings because of Landau pole, SU(3) at larger couplings because of asymptotic freedom\n", "plt.axvline(numpy.sqrt(4*numpy.pi/24))\n", "plt.title(\"graviton averaged rate, SU(3) contribution\")\n", "plt.legend()\n", "plt.xlim(0,1.4)\n", "plt.ylim(0,60)\n", "plt.xlabel(r\"$g_3$\")\n", "plt.ylabel(\"$F_3$\")\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "c6549018", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "u1tuned=[]\n", "u1strict=[]\n", "u1subtr=[]\n", "for line in fnfinal:\n", " u1tuned.append(line[0][2])\n", " u1strict.append(line[0][0])\n", " u1subtr.append(line[0][1])\n", "plt.plot(gvec,gvec**2*numpy.asarray(u1strict),\"r:\",label=\"strict LO\")\n", "plt.plot(gvec,gvec**2*numpy.asarray(u1subtr),\"b--\",label=\"subtr\")\n", "plt.plot(gvec,gvec**2*numpy.asarray(u1tuned),\"k\",label=\"tuned\")\n", "plt.plot(gvec,gvec**2*35.56 *numpy.log(0.85/gvec),\"g-.\",label=\"2408.16043\")\n", "# plt.plot(gvec,3/5*gvec**2*35.56 *numpy.log(0.85/gvec/numpy.sqrt(3/5)),\"g-.\",label=\"2408.16043\")\n", "plt.plot(gvec,gvec**2*9.90 *numpy.log(1.469/gvec),\"r-.\",label=\"1512.05701\")\n", "plt.plot(gvec,gvec**2*11 *numpy.log(1.266/gvec),\"b:\",label=\"hep-ph/0608344\")\n", "\n", "#put a vertical line at the value of the GUT coupling in 2408.16043. U(1) and SU(2) are only \n", "#used at smaller couplings because of Landau pole, SU(3) at larger couplings because of asymptotic freedom\n", "plt.axvline(numpy.sqrt(4*numpy.pi/24*3/5))\n", "plt.ylim(0,12)\n", "plt.xlim(0,1.4)\n", "plt.title(\"averaged rate, U(1) contribution\")\n", "plt.legend()\n", "plt.xlabel(r\"$g_1$\")\n", "plt.ylabel(\"$F_1$\")\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 81, "id": "ee75b67c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "su2tuned=[]\n", "su2strict=[]\n", "su2subtr=[]\n", "for line in fnfinal:\n", " su2tuned.append(line[1][2])\n", " su2strict.append(line[1][0])\n", " su2subtr.append(line[1][1])\n", "plt.plot(gvec,gvec**2*numpy.asarray(su2strict),\"r:\",label=\"strict LO\")\n", "plt.plot(gvec,gvec**2*numpy.asarray(su2subtr),\"b--\",label=\"subtr\")\n", "plt.plot(gvec,gvec**2*numpy.asarray(su2tuned),\"k\",label=\"tuned\")\n", "plt.plot(gvec,gvec**2*35.33 *numpy.log(1.38/gvec),\"g-.\",label=\"2408.16043\")\n", "plt.plot(gvec,gvec**2*20.77 *numpy.log(2.071/gvec),\"r-.\",label=\"1512.05701\")\n", "# plt.plot(gvec,gvec**2*27 *numpy.log(1.312/gvec),\"b:\",label=\"hep-ph/0608344\")\n", "#put a vertical line at the value of the GUT coupling in 2408.16043. U(1) and SU(2) are only \n", "#used at smaller couplings because of Landau pole, SU(3) at larger couplings because of asymptotic freedom\n", "plt.axvline(numpy.sqrt(4*numpy.pi/24))\n", "plt.title(\"averaged rate, SU(2) contribution\")\n", "plt.xlim(0,1.4)\n", "plt.ylim(0,25)\n", "plt.legend()\n", "plt.xlabel(r\"$g_2$\")\n", "plt.ylabel(\"$F_2$\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "09af6c79", "metadata": {}, "source": [ "put these plots together" ] }, { "cell_type": "code", "execution_count": null, "id": "a5e3fb8a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams['ytick.right'] = True \n", "plt.rcParams['ytick.labelright'] = False \n", "plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True\n", "plt.rcParams[\"xtick.top\"] = True\n", "plt.rcParams['xtick.direction']='in'\n", "plt.rcParams['ytick.direction']='in'\n", "\n", "fig=plt.figure()\n", "cc=1.5\n", "fig.set_size_inches(6*cc,2*cc)\n", "gs = fig.add_gridspec(1, 3, hspace=0, wspace=0)\n", "(ax, ax2,ax3) = gs.subplots(sharey=True)\n", "\n", "#this is 3 \\zeta(3) for the F_i normalisation\n", "zetanorm=3*zeta(3)\n", "mdis=[11/2,9/2,9/2]\n", "gnorm=[3/5,1,1]\n", "aa=[ax,ax2,ax3]\n", "styles=[\"k:\",\"k--\",\"k\",\"C0-.\",\"C1-.\"]\n", "ax.plot(gvec,gvec**2*numpy.asarray(u1strict)*zetanorm,styles[0])\n", "ax.plot(gvec,gvec**2*numpy.asarray(u1subtr)*zetanorm,styles[1])\n", "ax.plot(gvec,gvec**2*numpy.asarray(u1tuned)*zetanorm,styles[2])\n", "ax.plot(gvec,gvec**2*9.90 *numpy.log(1.469/gvec)*zetanorm,styles[3])\n", "ax.plot(gvec,gvec**2*35.56 *numpy.log(0.85/gvec)*zetanorm,styles[4])\n", "# plt.plot(gvec,gvec**2*11 *numpy.log(1.266/gvec),\"b:\",label=\"hep-ph/0608344\")\n", "#put a vertical line at the value of the GUT coupling in 2408.16043. U(1) and SU(2) are only \n", "#used at smaller couplings because of Landau pole, SU(3) at larger couplings because of asymptotic freedom\n", "ax.axvline(numpy.sqrt(4*numpy.pi/24*3/5),color='gray')\n", "ax.set_ylim(0,40)\n", "ax.set_xlim(0,1.4)\n", "ax.set_title(\"U(1)\")\n", "# ax.legend()\n", "ax.set_xlabel(r\"$g_1$\")\n", "ax.set_ylabel(\"$F_i$\")\n", "\n", "su2norm=1/3*zetanorm\n", "ax2.plot(gvec,gvec**2*numpy.asarray(su2strict)*su2norm,styles[0])\n", "ax2.plot(gvec,gvec**2*numpy.asarray(su2subtr)*su2norm,styles[1])\n", "ax2.plot(gvec,gvec**2*numpy.asarray(su2tuned)*su2norm,styles[2])\n", "ax2.plot(gvec,gvec**2*20.77 *numpy.log(2.071/gvec)*su2norm,styles[3])\n", "ax2.plot(gvec,gvec**2*35.33 *numpy.log(1.38/gvec)*su2norm,styles[4])\n", "ax2.axvline(numpy.sqrt(4*numpy.pi/24),color='gray')\n", "ax2.set_xlim(0,1.4)\n", "ax2.set_xlabel(r\"$g_2$\")\n", "ax2.set_title(\"SU(2)\")\n", "\n", "su3norm=1/8*zetanorm\n", "ax3.plot(gvec,gvec**2*numpy.asarray(qcdstrict)*su3norm,styles[0],label=\"strict\")\n", "ax3.plot(gvec,gvec**2*numpy.asarray(qcdsubtr)*su3norm,styles[1],label=\"subtr\")\n", "ax3.plot(gvec,gvec**2*numpy.asarray(qcdtuned)*su3norm,styles[2],label=\"tuned\")\n", "ax3.plot(gvec,gvec**2*43.34 *numpy.log(3.041/gvec)*su3norm,styles[3],label=\"1512.05701\")\n", "ax3.plot(gvec,gvec**2*29.40 *numpy.log(3.07/gvec)*su3norm,styles[4],label=\"2408.16043\")\n", "ax3.plot(gvec,2*20*gvec*gvec*numpy.log(3/gvec)*su3norm,\"C2-.\",label=r\"1003.5847\")\n", "ax3.axvline(numpy.sqrt(4*numpy.pi/24),color='gray')\n", "ax3.set_xlim(0,1.4)\n", "ax3.set_xlabel(r\"$g_3$\")\n", "ax3.set_title(\"SU(3)\")\n", "plt.figlegend(loc='upper center',ncols=6,bbox_to_anchor=(0.5,1.1),bbox_transform=plt.gcf().transFigure)\n", "plt.savefig(\"../../../gravitinopaper/fi.pdf\",bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "6f1d2cce", "metadata": {}, "source": [ "try some fits" ] }, { "cell_type": "code", "execution_count": 83, "id": "22f75770", "metadata": {}, "outputs": [], "source": [ "def fitf(g,a,b):\n", " return a*g*g*numpy.log(b/g)\n", "def fitfN(g,a,b,c):\n", " return a*g*g*numpy.log(b/g)+c*g*g*g\n", "from scipy.optimize import curve_fit\n", "norm=1/8\n", "poptstrict,pcovsstrict = curve_fit(fitfN,gvec,gvec*gvec*numpy.asarray(qcdstrict)*norm)\n", "poptsubtr,pcovsubtr = curve_fit(fitfN,gvec,gvec*gvec*numpy.asarray(qcdsubtr)*norm)\n", "popttuned,pcovtuned = curve_fit(fitfN,gvec,gvec*gvec*numpy.asarray(qcdtuned)*norm)" ] }, { "cell_type": "code", "execution_count": null, "id": "426c9de3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(gvec,gvec**2*numpy.asarray(qcdstrict)*norm,\"k\",label=\"numerical\")\n", "plt.plot(gvec,fitfN(gvec,*poptstrict),\"r:\",label=\"fit\")\n", "\n", "\n", "plt.plot(gvec,gvec**2*numpy.asarray(qcdsubtr)*norm,\"k\")\n", "plt.plot(gvec,fitfN(gvec,*poptsubtr),\"r:\")\n", "\n", "\n", "plt.plot(gvec,gvec**2*numpy.asarray(qcdtuned)*norm,\"k\")\n", "plt.plot(gvec,fitfN(gvec,*popttuned),\"r:\")\n", "\n", "#put a vertical line at the value of the GUT coupling in 2408.16043. U(1) and SU(2) are only \n", "#used at smaller couplings because of Landau pole, SU(3) at larger couplings because of asymptotic freedom\n", "# plt.axvline(numpy.sqrt(4*numpy.pi/24))\n", "plt.title(\"graviton averaged rate, SU(3) contribution\")\n", "plt.legend()\n", "plt.xlim(0,1.4)\n", "plt.ylim(0,80*norm)\n", "plt.xlabel(r\"$g_3$\")\n", "plt.ylabel(\"$F_3$\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 85, "id": "d5415168", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "strict\ta=9.000\tb=1.271\tc=-0.000\tmax rel err=5.117e-09\n", "subtr\ta=9.456\tb=1.127\tc=2.105\tmax rel err=2.524e-02\n", "tuned\ta=8.326\tb=1.452\tc=3.382\tmax rel err=4.943e-02\n" ] } ], "source": [ "labels=['strict','subtr','tuned']\n", "results=[poptstrict,poptsubtr,popttuned]\n", "numresults=[qcdstrict,qcdsubtr,qcdtuned]\n", "for i in range(3):\n", " myres=results[i]\n", " # if i==0:\n", " # myres=numpy.append(results[i],0.)\n", " print(labels[i]+\"\\ta=%.3f\\tb=%.3f\\tc=%.3f\\tmax rel err=%.3e\"%(myres[0],myres[1],myres[2],numpy.max(numpy.abs(1-fitfN(gvec,*results[i])/(gvec**2*numresults[i]*norm)))))" ] }, { "cell_type": "code", "execution_count": 86, "id": "be9ff786", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "strict\ta=9.000\tb=1.312\tc=0.000\tmax rel err=1.409e-08\n", "subtr\ta=9.456\tb=1.162\tc=2.105\tmax rel err=2.507e-02\n", "tuned\ta=8.326\tb=1.503\tc=3.382\tmax rel err=4.910e-02\n" ] } ], "source": [ "norm=1/3\n", "poptstrict,pcovsstrict = curve_fit(fitfN,gvec,gvec*gvec*numpy.asarray(su2strict)*norm)\n", "poptsubtr,pcovsubtr = curve_fit(fitfN,gvec,gvec*gvec*numpy.asarray(su2subtr)*norm)\n", "popttuned,pcovtuned = curve_fit(fitfN,gvec,gvec*gvec*numpy.asarray(su2tuned)*norm)\n", "plt.plot(gvec,gvec**2*numpy.asarray(su2strict)*norm,\"k\",label=\"numerical\")\n", "plt.plot(gvec,fitfN(gvec,*poptstrict),\"r:\",label=\"fit\")\n", "# plt.plot(gvec,gvec**2*72 *numpy.log(1.271/gvec),\"b-.\",label=\"hep-ph/0608344\")\n", "\n", "plt.plot(gvec,gvec**2*numpy.asarray(su2subtr)*norm,\"k\")\n", "plt.plot(gvec,fitfN(gvec,*poptsubtr),\"r:\")\n", "\n", "\n", "plt.plot(gvec,gvec**2*numpy.asarray(su2tuned)*norm,\"k\")\n", "plt.plot(gvec,fitfN(gvec,*popttuned),\"r:\")\n", "\n", "#put a vertical line at the value of the GUT coupling in 2408.16043. U(1) and SU(2) are only \n", "#used at smaller couplings because of Landau pole, SU(3) at larger couplings because of asymptotic freedom\n", "# plt.axvline(numpy.sqrt(4*numpy.pi/24))\n", "plt.title(\"graviton averaged rate, SU(2) contribution\")\n", "plt.legend()\n", "plt.xlim(0,1.4)\n", "plt.ylim(0,15)\n", "plt.xlabel(r\"$g_2$\")\n", "plt.ylabel(\"$F_2$\")\n", "plt.show()\n", "labels=['strict','subtr','tuned']\n", "results=[poptstrict,poptsubtr,popttuned]\n", "numresults=[su2strict,su2subtr,su2tuned]\n", "\n", "for i in range(3):\n", " myres=results[i]\n", " # if i==0:\n", " # myres=numpy.append(results[i],0.)\n", " print(labels[i]+\"\\ta=%.3f\\tb=%.3f\\tc=%.3f\\tmax rel err=%.3e\"%(myres[0],myres[1],myres[2],numpy.max(numpy.abs(1-fitfN(gvec,*results[i])/(gvec**2*numresults[i]*norm)))))" ] }, { "cell_type": "code", "execution_count": 87, "id": "376d72ce", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "strict\ta=10.999\tb=1.266\tc=0.000\tmax rel err=2.881e-09\n", "subtr\ta=11.553\tb=1.118\tc=2.839\tmax rel err=2.398e-02\n", "tuned\ta=9.959\tb=1.510\tc=4.301\tmax rel err=6.157e-02\n" ] } ], "source": [ "poptstrict,pcovsstrict = curve_fit(fitfN,gvec,gvec*gvec*numpy.asarray(u1strict))\n", "poptsubtr,pcovsubtr = curve_fit(fitfN,gvec,gvec*gvec*numpy.asarray(u1subtr))\n", "popttuned,pcovtuned = curve_fit(fitfN,gvec,gvec*gvec*numpy.asarray(u1tuned))\n", "plt.plot(gvec,gvec**2*numpy.asarray(u1strict),\"k\",label=\"numerical\")\n", "plt.plot(gvec,fitfN(gvec,*poptstrict),\"r:\",label=\"fit\")\n", "# plt.plot(gvec,gvec**2*72 *numpy.log(1.271/gvec),\"b-.\",label=\"hep-ph/0608344\")\n", "\n", "plt.plot(gvec,gvec**2*numpy.asarray(u1subtr),\"k\")\n", "plt.plot(gvec,fitfN(gvec,*poptsubtr),\"r:\")\n", "\n", "\n", "plt.plot(gvec,gvec**2*numpy.asarray(u1tuned),\"k\")\n", "plt.plot(gvec,fitfN(gvec,*popttuned),\"r:\")\n", "\n", "#put a vertical line at the value of the GUT coupling in 2408.16043. U(1) and SU(2) are only \n", "#used at smaller couplings because of Landau pole, SU(3) at larger couplings because of asymptotic freedom\n", "# plt.axvline(numpy.sqrt(4*numpy.pi/24))\n", "plt.title(\"graviton averaged rate, U(1) contribution\")\n", "plt.legend()\n", "plt.xlim(0,1.4)\n", "plt.ylim(0,14)\n", "plt.xlabel(r\"$g_1$\")\n", "plt.ylabel(\"$F_1$\")\n", "plt.show()\n", "labels=['strict','subtr','tuned']\n", "results=[poptstrict,poptsubtr,popttuned]\n", "numresults=[u1strict,u1subtr,u1tuned]\n", "for i in range(3):\n", " myres=results[i]\n", " # if i==0:\n", " # myres=numpy.append(results[i],0.)\n", " print(labels[i]+\"\\ta=%.3f\\tb=%.3f\\tc=%.3f\\tmax rel err=%.3e\"%(myres[0],myres[1],myres[2],numpy.max(numpy.abs(1-fitfN(gvec,*results[i])/(gvec**2*numresults[i])))))" ] }, { "cell_type": "code", "execution_count": 88, "id": "5cec7b71", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(gvec,1-fitfN(gvec,*popttuned)/gvec**2/u1tuned,\"k\")\n", "plt.plot(gvec,1-fitfN(gvec,9.96,1.51,4.301)/gvec**2/u1tuned,\"r:\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c7bd4abe", "metadata": {}, "source": [ "do an equivalent of fig. 12 of [hep-ph/0701104](https://arxiv.org/pdf/hep-ph/0701104)" ] }, { "cell_type": "code", "execution_count": null, "id": "81f012eb", "metadata": {}, "outputs": [], "source": [ "from scipy.integrate import quad_vec\n", "def integrandvecvec(x,gvec):\n", " xfac = x*x*numpy.exp(-x)/(numpy.exp(-x)+1.)\n", " ratevec = [gravitino.rate(x,1,(gvec[0],0,0,0),0),gravitino.rate(x,1,(0,gvec[1],0,0),0),gravitino.rate(x,1,(0,0,gvec[2],0),0)]\n", " retvec=[]\n", " for j in range(0,3):\n", " for i in range(1,4):\n", " retvec.append(xfac*ratevec[j][i][0])\n", " return numpy.asarray(retvec).astype(numpy.float64)\n", "\n", "ngs=30\n", "Tvec=numpy.logspace(4,14,ngs)\n", "fnfinalTquad=[]\n", "for ik in range(0,ngs):\n", " print(ik,end=\"\\r\")\n", " fn=[[0,0,0],[0,0,0],[0,0,0]]\n", " \n", " gtest=grunpi(Tvec[ik])\n", " integral = quad_vec(integrandvecvec,0.,20.,args=(gtest,))[0]\n", " for j in range(0,3):\n", " for i in range(1,4):\n", " \n", " fn[j][i-1]=4*integral[3*j+(i-1)]/numpy.pi**2\n", " fnfinalTquad.append(fn)" ] }, { "cell_type": "code", "execution_count": 51, "id": "017169bd", "metadata": {}, "outputs": [], "source": [ "mykdense=numpy.linspace(0.01,15,1000)\n", "\n", "ratetop=gravitino.rate(mykdense,1,(0,0,0,1),0)\n", "integrandtop=2*mykdense*mykdense*numpy.exp(-mykdense)/(numpy.exp(-mykdense)+1.)/(2*numpy.pi*numpy.pi)*ratetop[1]\n", "toprate=trapezoid(integrandtop,mykdense)*4*numpy.ones(ngs)*ht**2" ] }, { "cell_type": "code", "execution_count": null, "id": "d5d19547", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qcdtunedT=[]\n", "qcdstrictT=[]\n", "qcdsubtrT=[]\n", "for line in fnfinalTquad:\n", " qcdtunedT.append(line[2][2])\n", " qcdstrictT.append(line[2][0])\n", " qcdsubtrT.append(line[2][1])\n", "su2tunedT=[]\n", "su2strictT=[]\n", "su2subtrT=[]\n", "for line in fnfinalTquad:\n", " su2tunedT.append(line[1][2])\n", " su2strictT.append(line[1][0])\n", " su2subtrT.append(line[1][1])\n", "u1tunedT=[]\n", "u1strictT=[]\n", "u1subtrT=[]\n", "for line in fnfinalTquad:\n", " u1tunedT.append(line[0][2])\n", " u1strictT.append(line[0][0])\n", " u1subtrT.append(line[0][1])\n", "\n", "fig, ax= plt.subplots()\n", "fig.set_size_inches(6,4.)\n", "plt.plot(Tvec,numpy.asarray(qcdtunedT),\"C2\",label=\"SU(3)\")\n", "\n", "plt.plot(Tvec,numpy.asarray(qcdstrictT),\"C2:\")\n", "plt.plot(Tvec,numpy.asarray(su2strictT),\"C1:\")\n", "\n", "plt.plot(Tvec,numpy.asarray(su2tunedT),\"C1\",label=\"SU(2)\")\n", "plt.plot(Tvec,numpy.asarray(u1strictT),\"C0:\")\n", "\n", "plt.plot(Tvec,numpy.asarray(u1tunedT),\"C0\",label=\"U(1)\")\n", "plt.plot(Tvec,toprate,\"C3\",label=\"top\")\n", "\n", "\n", "\n", "plt.plot(Tvec,numpy.asarray(u1tunedT)+numpy.asarray(su2tunedT)+numpy.asarray(qcdtunedT)+toprate,\"k\",label=\"total\")\n", "plt.plot(Tvec,numpy.asarray(u1strictT)+numpy.asarray(su2strictT)+numpy.asarray(qcdstrictT),\"k:\",label='strict LO')\n", "\n", "\n", "plt.legend(ncols=3)\n", "plt.xscale('log')\n", "plt.xlim(1e4,1e14)\n", "plt.ylim(0,0.6)\n", "plt.xlabel(r\"T/GeV\")\n", "plt.ylabel(r'$4\\gamma_\\psi/\\kappa^2T^6$')\n", "\n", "plt.minorticks_on()\n", "plt.savefig('../../../gravitinopaper/gammaT.pdf',bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ddd418dc", "metadata": {}, "source": [ "the total strict is in good agreement with the Pradler Steffen curve in fig 12 of rychkov strumia, as it should. If we subtract the top from it it should agree exactly" ] }, { "cell_type": "markdown", "id": "834c6345", "metadata": {}, "source": [ "## Axino production" ] }, { "cell_type": "markdown", "id": "f958bf50", "metadata": {}, "source": [ "Define a running coupling as in (3.31) of [hep-ph/0405158](https://arxiv.org/pdf/hep-ph/0405158)" ] }, { "cell_type": "code", "execution_count": null, "id": "c4e2b711", "metadata": {}, "outputs": [], "source": [ "def g3(T):\n", " return 1/numpy.sqrt(1/(4*numpy.pi*0.118)+3/(8*numpy.pi*numpy.pi)*numpy.log(T/91.19))\n", "myg=g3(1e6)" ] }, { "cell_type": "markdown", "id": "4e8b6fa0", "metadata": {}, "source": [ "import the dict (precomputed and stored in the json)" ] }, { "cell_type": "code", "execution_count": null, "id": "f944ad0c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Configuration check completed successfully.\n", "Skipping configuration.\n", "Skipping generation of Feynman rules.\n", "Skipping generation of all processes.\n", "Analytical pipeline completed\n" ] } ], "source": [ "axinodict=analytical_pipeline(\"../../MyModels/mssm/mssm.cfg\")" ] }, { "cell_type": "markdown", "id": "d3455d42", "metadata": {}, "source": [ "pass the dict through the manipulate module and compute the rate" ] }, { "cell_type": "code", "execution_count": null, "id": "7f7519c9", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/fd/k76vq6lj73v570m2x2k93yvm0000gp/T/ipykernel_59676/1359088618.py:1: AutothermWarning: Lack of direct proportionality between the gauge boson mass 9*g3**2/2 and the coefficient of the IR divergence -9*g3**6/(16*pi**4)\n", "This is most likely not problematic, continuing with evaluation.\n", " axino=NumRate(axinodict[0],axinodict[1],('(9*g3^2)/2',),1)\n" ] } ], "source": [ "axino=NumRate(axinodict[0],axinodict[1],('(9*g3^2)/2',),1)\n", "k=numpy.logspace(numpy.log10(0.1),numpy.log10(12.5),100)\n", "axinorateplot=axino.rate(k,1,(myg,),0)" ] }, { "cell_type": "code", "execution_count": null, "id": "34003437", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{9 T^{3} g_{3}^{6} \\log{\\left(\\frac{8 k^{2}}{9 T^{2} g_{3}^{2}} \\right)}}{256 \\pi^{5} fpq^{2}}$" ], "text/plain": [ "9*T**3*g3**6*log(8*k**2/(9*T**2*g3**2))/(256*pi**5*fpq**2)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axino.get_leadlog()" ] }, { "cell_type": "markdown", "id": "339340d1", "metadata": {}, "source": [ "test this against the results that can be extracted from [hep-ph/0405158](https://arxiv.org/pdf/hep-ph/0405158)" ] }, { "cell_type": "code", "execution_count": null, "id": "4da343c8", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/fd/k76vq6lj73v570m2x2k93yvm0000gp/T/ipykernel_59676/1233984401.py:8: AutothermWarning: Lack of direct proportionality between the gauge boson mass g3**2*nf/2 + 3*g3**2/2 and the coefficient of the IR divergence (-g3**6*nf - 3*g3**6)/(8*pi**4)\n", "This is most likely not problematic, continuing with evaluation.\n", " axinotestS=NumRate(axinodictS, {\"noneq\":(\"fpq\",),\"gauge\": (\"g3\",), \"others\": (\"nf\",)},\\\n" ] } ], "source": [ "#axion dict from Steffen (rename kappa = 1/(32\\pi^2 f_a/N)). Include factor of 2 to match normalisation\n", "axinodictS = {(-1,-1,-1):\"2*32*(1/(32*pi^2* fpq))^2*g3^6*8*((s*u/t+t*u/s +s*t/u)*(3+nf))\",\\\n", " (1,1,-1):\"2*32*(1/(32*pi^2 *fpq))^2*g3^6*8*((-t-2*s-2*s^2/t)*(3+nf)-3/2*t*nf)\",\\\n", " (-1,1,1): \"2*16*(1/(32*pi^2 * fpq))^2*g3^6*8*((2*t^2/s)*(3+nf)+3/2*s*nf)\"}\n", "#note that the mass is different, the denominator is nc/2 and not 3 for the adjoint contribution,\n", "# since we now have nc/3 from gluons and nc/6 from gluinos\n", "\n", "axinotestS=NumRate(axinodictS, {\"noneq\":(\"fpq\",),\"gauge\": (\"g3\",), \"others\": (\"nf\",)},\\\n", " (\"g3^2*(3+nf)/2\",),2)\n", "axinorateplotS=axinotestS.rate(k,1,(myg,6.),0)" ] }, { "cell_type": "code", "execution_count": null, "id": "de42fcc5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams['ytick.right'] = True \n", "plt.rcParams['ytick.labelright'] = False \n", "plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True\n", "plt.rcParams[\"xtick.top\"] = True\n", "plt.rcParams['xtick.direction']='in'\n", "plt.rcParams['ytick.direction']='in'\n", "plt.plot(k,axinorateplot[1],\"g:\",label=\"strict LO\")\n", "plt.plot(k,axinorateplotS[1],\"k:\",label=\"strict LO Steffen\")\n", "plt.plot(k,axinorateplot[2],\"b--\",label=\"subtracted\")\n", "plt.plot(k,axinorateplot[3],\"r\",label=\"tuned\")\n", "plt.xlim(0,12)\n", "# plt.ylim(-0.00002,0.0001)\n", "plt.xlabel(\"k/T\")\n", "plt.ylabel(r\"$\\Gamma_{a} f_\\mathrm{PQ}^2/T^3$\")\n", "plt.title(r\"axino, $T=10^6$ GeV\")\n", "\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "88582107", "metadata": {}, "source": [ "The discrepancy between the two \"strict LO\" results is due to the lack of the axino squark antisquark gluino coupling in [hep-ph/0405158](https://arxiv.org/pdf/hep-ph/0405158)" ] }, { "cell_type": "markdown", "id": "a6ba0ce2", "metadata": {}, "source": [ "### do a plot of the F3 control function" ] }, { "cell_type": "code", "execution_count": null, "id": "324d1777", "metadata": {}, "outputs": [], "source": [ "npoints=50\n", "f3=[numpy.zeros(npoints),numpy.zeros(npoints),numpy.zeros(npoints)]\n", "myk=numpy.logspace(numpy.log10(0.01),numpy.log10(15),100)\n", "ivar = 0\n", "myg3list = numpy.linspace(0.01,1.4,npoints)\n", "for myg3 in myg3list:\n", " axinotemp = axino.rate(myk,1,(myg3,),0)\n", " for i in range(1,4):\n", " #add factor of 2 for degeneracy\n", " integrandaxinotest=2*myk*myk/(numpy.exp(myk)+1.)/(2*numpy.pi*numpy.pi)*axinotemp[i]\n", " f3[i-1][ivar]=trapezoid(integrandaxinotest,myk)/((myg3**4)/(256*(numpy.pi**7)))\n", " ivar=ivar+1" ] }, { "cell_type": "code", "execution_count": null, "id": "1fb51e0e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#add the asymptotitc behaviour from Eq. (9) in the Strumia axino paper\n", "plt.plot(myg3list,f3[0],\"b:\",label=\"strict\")\n", "plt.plot(myg3list,f3[1],\"k\",label=\"subtr\")\n", "plt.plot(myg3list,f3[2],\"r--\",label=\"tuned\")\n", "plt.plot(myg3list,20*myg3list*myg3list*numpy.log(3/myg3list),\"g-.\",label=r\"Strumia $g_3\\approx 1$\")\n", "HTL=32.4*myg3list*myg3list*numpy.log(1.2/myg3list)\n", "plt.plot(myg3list,HTL,\"k:\",label=\"strict Steffen\")\n", "plt.xlabel(\"$g_3$\")\n", "plt.ylabel(\"$F_3$\")\n", "plt.title(\"Momentum-averaged axino rate parametrized by $F_3$\")\n", "plt.legend()\n", "plt.ylim(0,30)\n", "plt.xlim(0,1.4)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "21d84643", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#add the asymptotitc behaviour from Eq. (9) in the Strumia axino paper\n", "plt.plot(myg3list*numpy.sqrt(9/2),f3[0],\"b:\",label=\"strict\")\n", "plt.plot(myg3list*numpy.sqrt(9/2),f3[1],\"k\",label=\"subtr\")\n", "plt.plot(myg3list*numpy.sqrt(9/2),f3[2],\"r--\",label=\"tuned\")\n", "plt.plot(myg3list*numpy.sqrt(9/2),20*myg3list*myg3list*numpy.log(3/myg3list),\"g-.\",label=r\"Strumia $g_3\\approx 1$\")\n", "HTL=32.4*myg3list*myg3list*numpy.log(1.2/myg3list)\n", "plt.plot(myg3list*numpy.sqrt(9/2),HTL,\"k:\",label=\"strict Steffen\")\n", "plt.xlabel(\"$m_D/T$\")\n", "plt.ylabel(\"$F_3$\")\n", "plt.title(\"Momentum-averaged axino rate parametrized by $F_3$\")\n", "plt.legend()\n", "plt.ylim(0,30)\n", "plt.xlim(0,3)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "2613b176", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#add the asymptotitc behaviour from Eq. (9) in the Strumia axino paper\n", "plt.plot(myg3list*numpy.sqrt(9/4),f3[0],\"b:\",label=\"strict\")\n", "plt.plot(myg3list*numpy.sqrt(9/4),f3[1],\"k\",label=\"subtr\")\n", "plt.plot(myg3list*numpy.sqrt(9/4),f3[2],\"r--\",label=\"tuned\")\n", "plt.plot(myg3list*numpy.sqrt(9/4),20*myg3list*myg3list*numpy.log(3/myg3list),\"g-.\",label=r\"Strumia $g_3\\approx 1$\")\n", "HTL=32.4*myg3list*myg3list*numpy.log(1.2/myg3list)\n", "plt.plot(myg3list*numpy.sqrt(9/4),HTL,\"g:\",label=\"strict Steffen\")\n", "plt.xlabel(r\"$m_\\infty/T$\")\n", "plt.ylabel(\"$F_3$\")\n", "plt.title(\"Momentum-averaged axino rate parametrized by $F_3$\")\n", "plt.legend()\n", "plt.ylim(0,30)\n", "plt.xlim(0,2.1)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "ca70fd6e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#create a numpy array for the integrand. add factor of 2 for the degeneracy\n", "integrandaxinoS=[]\n", "integrandaxino=[]\n", "for i in range(1,4):\n", " integrandaxinoS.append(2*k*k/(numpy.exp(k)+1.)/(2*numpy.pi*numpy.pi)*axinorateplotS[i])\n", " integrandaxino.append(2*k*k/(numpy.exp(k)+1.)/(2*numpy.pi*numpy.pi)*axinorateplot[i])\n", "plt.plot(k,integrandaxinoS[0],\"b:\",label=\"strict\")\n", "plt.plot(k,integrandaxinoS[1],\"k\",label=\"subtr\")\n", "plt.plot(k,integrandaxinoS[2],\"r--\",label=\"tuned\")\n", "plt.title(r\"axino rate integrand, Brandenburg-Steffen vertex only\")\n", "plt.xlabel(\"k/T\")\n", "plt.ylabel(r\"$2\\Gamma_{\\bar a}$ $k^2 n_F(k)$ $f_{PQ}^2$/($2\\pi^2 N T^5$)\")\n", "plt.legend()\n", "plt.xlim(0,12.5)\n", "# plt.ylim(bottom=0)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "596bc0d7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.subplots(figsize=(6.75,5))\n", "integralstrictS=trapezoid(integrandaxinoS[0],k)\n", "integralsubtrS=trapezoid(integrandaxinoS[1],k)\n", "integraltunedS=trapezoid(integrandaxinoS[2],k)\n", "plt.plot(k,integrandaxinoS[0]/numpy.abs(integralstrictS),\"b:\",label=\"strict\")\n", "plt.plot(k,integrandaxinoS[1]/integralsubtrS,\"k\",label=\"subtr\")\n", "plt.plot(k,integrandaxinoS[2]/integraltunedS,\"r--\",label=\"tuned\")\n", "\n", "plt.title(r\"axino rate integrand normalized by total integral, $T=10^6$ GeV, BS vertex only\")\n", "plt.xlabel(\"k/T\")\n", "plt.ylabel(r\"$2\\Gamma_{\\bar a}$ $k^2 n_F(k)$ $f_{PQ}^2$/($2\\pi^2 N T^5$ int)\")\n", "plt.legend()\n", "plt.xlim(0,12.5)\n", "plt.ylim(-0.1,0.3)\n", "# plt.axis('off')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c57d647d", "metadata": {}, "source": [ "This is in good agreement with the figure in the erratum at the end of [hep-ph/0405158](https://arxiv.org/pdf/hep-ph/0405158)" ] }, { "cell_type": "code", "execution_count": null, "id": "a3e94fdc", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.subplots(figsize=(6.75,5))\n", "integralstrictS=trapezoid(integrandaxinoS[0],k)\n", "integralstrict=trapezoid(integrandaxino[0],k)\n", "integralsubtr=trapezoid(integrandaxino[1],k)\n", "integraltuned=trapezoid(integrandaxino[2],k)\n", "plt.plot(k,integrandaxinoS[0]/numpy.abs(integralstrictS),\"g-.\",label=\"hep-ph/0405158\")\n", "plt.plot(k,integrandaxino[0]/numpy.abs(integralstrict),\"b:\",label=\"strict\")\n", "plt.plot(k,integrandaxino[1]/integralsubtr,\"k\",label=\"subtr\")\n", "plt.plot(k,integrandaxino[2]/integraltuned,\"r--\",label=\"tuned\")\n", "\n", "plt.title(r\"axino rate integrand normalized by total integral, $T=10^6$ GeV\")\n", "plt.xlabel(\"k/T\")\n", "plt.ylabel(r\"$2\\Gamma_{\\bar a}$ $k^2 n_F(k)$ $f_{PQ}^2$/($2\\pi^2 N T^5$ int)\")\n", "plt.legend()\n", "plt.xlim(0,12.5)\n", "plt.ylim(-0.1,0.3)\n", "# plt.axis('off')\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 5 }