{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# CCSN Neutrino Flavor Oscillations (Obsolete)\n", "\n", "Tests flavor oscillations in supernova neutrinos using the very simple calculation from [SNOwGloBES](https://github.com/SNOwGLoBES/snowglobes/blob/master/fluxes/supernova_mixing.cc).\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "from asteria import config, source\n", "from asteria.neutrino import Flavor\n", "\n", "import astropy.units as u\n", "\n", "import numpy as np\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "\n", "mpl.rc('font', size=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load Configuration\n", "\n", "This will load the source configuration from a file.\n", "\n", "For this to work, either the user needs to have done one of two things:\n", "1. Run `python setup.py install` in the USSR directory.\n", "2. Run `python setup.py develop` and set the environment variable `USSR` to point to the git source checkout.\n", "\n", "If these were not done, the initialization will fail because the paths will not be correctly resolved." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "conf = config.load_config('../../data/config/test.yaml')\n", "ccsn = source.initialize(conf)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "t12 = 0.588\n", "s2t12 = 0.31\n", "c2t12 = 0.69" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,1, figsize=(7,5))\n", "\n", "t = np.linspace(-0.1, 1, 201) * u.s\n", "for ls, flavor in zip([\"-\", \"--\", \"-.\", \":\"], Flavor):\n", " flux = ccsn.get_flux(t, flavor)\n", " \n", " ax.plot(t, flux, ls, lw=2, label=flavor.to_tex(), alpha=0.7)\n", "# plt.yscale('log')\n", "# plt.ylim(3e51, 5e53)\n", "ax.set(xlabel='time - $t_{bounce}$ [s]',\n", " ylabel='flux')\n", "ax.legend()\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Normal Hierarchy " ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig1, ax = plt.subplots(1,1, figsize=(7,5))\n", "t = np.linspace(-0.1, 1, 201) * u.s\n", "\n", "nu_list = []\n", "i = 0\n", "for flavor in Flavor:\n", " flux = ccsn.get_flux(t, flavor)\n", " nu_list.append(flux)\n", "\n", "nu_e = [a + b for a, b in zip(nu_list[2], nu_list[3])] \n", "nu_x = [(a + b + c)/2 for a, b, c in zip(nu_list[0], nu_list[2], nu_list[3])]\n", "nu_e_bar = [a*c2t12 + (b + c)*s2t12 for a, b, c in zip(nu_list[1], nu_list[2], nu_list[3])]\n", "nu_x_bar = [((1.0-c2t12)*a + (1.0+c2t12)*(b + c))/2 for a, b, c in zip(nu_list[1], nu_list[2], nu_list[3])]\n", "nu_new = [nu_e, nu_e_bar, nu_x, nu_x_bar]\n", "\n", "for ls, i, flavor in zip([\"-\", \"--\", \"-.\", \":\"], range(len(nu_new)), Flavor):\n", " new_flux = nu_new[i]\n", " ax.plot(t, new_flux, ls, lw=2, alpha=0.7, label=flavor.to_tex()), \n", "\n", "# plt.yscale('log')\n", "# plt.ylim(3e51, 5e53)\n", "\n", "ax.set(xlabel='time - $t_{bounce}$ [s]',\n", " ylabel='flux')\n", "ax.legend()\n", "fig1.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inverted Hierarchy" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig2, ax = plt.subplots(1,1, figsize=(7,5))\n", "t = np.linspace(-0.1, 1, 201) * u.s\n", "\n", "nu_list = []\n", "i = 0\n", "for flavor in Flavor:\n", " flux = ccsn.get_flux(t, flavor)\n", " nu_list.append(flux)\n", "\n", "nu_e = [a*s2t12 + (b + c)*c2t12 for a, b, c in zip(nu_list[0], nu_list[2], nu_list[3])] \n", "nu_x = [((1.0-s2t12)*a + (1.0+s2t12)*(b + c))/2 for a, b, c in zip(nu_list[0], nu_list[2], nu_list[3])] \n", "nu_e_bar = [a + b for a, b in zip(nu_list[2], nu_list[3])] \n", "nu_x_bar = [(a + b + c)/2 for a, b, c in zip(nu_list[1], nu_list[2], nu_list[3])]\n", "nu_new = [nu_e, nu_e_bar, nu_x, nu_x_bar]\n", "\n", "for ls, i, flavor in zip([\"-\", \"--\", \"-.\", \":\"], range(len(nu_new)), Flavor):\n", " new_flux = nu_new[i]\n", " ax.plot(t, new_flux, ls, lw=2, alpha=0.7, label=flavor.to_tex()), \n", "\n", "# plt.yscale('log')\n", "# plt.ylim(3e51, 5e53)\n", "\n", "ax.set(xlabel='time - $t_{bounce}$ [s]',\n", " ylabel='flux')\n", "ax.legend()\n", "fig2.tight_layout()" ] }, { "cell_type": "code", "execution_count": 135, "metadata": {}, "outputs": [ { "data": { "image/png": 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BClUZjz5094tJue6d1593yueLiopobW0lGo0SDodZuHAha9euZenSpUmJR0TGHuUvEUlX4y1/aUR1iI5N/U1xICLjRFlZGXV1dQBs2rSJsrKyFEckItI/yl8ikq5Skb80ojpEGlGV8eh0n7wlU0VFBbW1taxcuZKSkhKmT5/Ol770Jdra2ohEItx+++0pi01ERj/lLxFJV+Mtf6lQHSI1UxIZWRUVFSxfvpwVK1bw8MMPc8cdd9De3k5RURE7duxIdXgiIiel/CUi6SoV+UuF6hCpUBUZWZWVldxzzz089thjlJSUsHr1am677TYyMzNTHZqIyCkpf4lIukpF/tIa1SGK76Oqqb8iI+PWW29l69atVFdXA3DNNddw/fXX8/nPf54VK1akODoRkZNT/hKRdJWK/KUR1SHSiKpIai1btoxly5alOgwRkQFT/hKRdDUS+UsjqkMUUTMlERERERGRYaVCdYg6NaIqIiIiIiIyrFSoDtGxEdUUByIiIiIiIjJGqFAdos4uv1BVpSoiIiIiIjIsVKgOgXOOzqg/9VdrVEVERERERIaFCtUh6Op2OL9A1RpVERERERGR4aFCdQgi/rRfUNdfERERERGR4aJCdQji035BI6oiIiIiIiLDJZTqANJZ4ohqwrcikiRmdtLnnGY1iMgopvwlIukqVflLheoQxLemAe8/knPulP8hRWRodDMnIulK+UtE0lWq8pem/g5BZ6yr12PN/hVJrsbGRsrLy3seL168mKamphRGJCLSP8pfIpKuUpW/VKgOQWes93xfrVMVSa6ioiJaW1uJRqMALFy4kLVr16Y4KhGR01P+EpF0lar8pam/QxA5rlBV518ZV379npM/d96HYdbl3vdbH4EXf3Lyc9/7uwG9bVlZGXV1dVRXV7Np0ybKysoG9HoREeUvEUlb4yh/qVAdAhWqIiOvoqKC2tpaVq5cSUlJCbNnz051SCIi/aL8JSLpKhX5S4XqEES6NPVXxrH+fhI36/Jjn+4Ng4qKCpYvX86KFSt4+OGHiUajfO1rX6OtrY1IJMLtt98+bO8lImOU8peIpKtxlL+0RnUIEvdRBRWqIiOhsrKSe+65h/vuu4+SkhLuuOMO2tvbKSoqoqWlJdXhiYiclPKXiKSrVOQvjagOwfEjqqpTRZLv1ltv5dZbb+15vHr1am677TYyMzNTGJWIyOkpf4lIukpF/lKhOgTHr1HViKrIyLvmmmu4/vrrqa6u5vWvfz1XXXVVqkMSEekX5S8RSVcjkb9UqA6BmimJpN6yZctYtmxZqsMQERkw5S8RSVcjkb+0RnUIOtVMSUREREREZNipUB2CzmhXr8cqVEVERERERIYuqYWqmV1lZpvNbJuZffEk57zbzDaY2Xoz+3Uy4xluxzdT0sxfERERERGRoUvaGlUzCwK3AVcANcCLZnafc25DwjmzgH8DLnLOHTGzScmKJxlOaKakSlVERERERGTIkjmiej6wzTm3wzkXAX4LXHPcOR8GbnPOHQFwzh1MYjzDrvOErr/dJzlTRERERERE+iuZhWolsDfhcY1/LNFsYLaZPWNmz5lZWvVlj4+oBgMGQJfqVBERERERkSFLZqFqfRw7fm5sCJgFXApcB/yvmRWdcCGzj5jZKjNbVV9fP+yBDla8UM3JCALankZETjRa85eIyOkof4lIKiWzUK0BqhMeVwG1fZzzZ+dc1Dm3E9iMV7j24py7wzm3xDm3pLS0NGkBD1RnzOv6m+0Xqur6KyLHG635S0TkdJS/RCSVklmovgjMMrPpZpYBXAvcd9w5y4HLAMysBG8q8I4kxjSs4iOqmSGNqIqIiIiIiAyXpBWqzrkY8EngQWAj8Hvn3Hoz+4aZXe2f9iBwyMw2AH8HPuecO5SsmIZbfHuaHI2oioyIxsZGysvLex4vXryYpqamFEYkItI/yl8ikq5Slb+Stj0NgHPuAeCB447dnPC9Az7tf6UV51zPiGpWWCOqMv588tFPDuj86vxqvnD+F054/Q/e8IN+X6OoqIjW1lai0SjhcJiFCxeydu1ali5dOqBYRGR8U/4SkXQ1nvJXMqf+jmnRLodzXsffcND7a9SAqkjylZWVUVdXB8CmTZsoKytLcUQiIv2j/CUi6SoV+SupI6pjWXzab0YogL87DbEuVaoyfgzkk7jhfH1FRQW1tbWsXLmSkpISiouLueGGG/jmN7/JzTffzI9//GPC4fCQYhORsU35S0TS1XjKXypUBymxkVJ8H1VN/RVJvoqKCpYvX86KFSt4+OGHKSkpYcqUKXzmM5/hzjvv1E2eiIxayl8ikq5Skb9UqA5SvFD1RlRVqIqMlMrKSu655x4ee+wxSkpKaGlpYceOHYRCIfLy8lIdnojISSl/iUi6SkX+0hrVQTo2ohogFPQKVXX9FUm+W2+9la1bt1JdXU0sFuOmm27illtuYdGiRTz++OOpDk9E5KSUv0QkXaUif2lEdZA6Y12AV6iaRlRFUiIUCnHXXXcB8LnPfS7F0YiI9J/yl4ikq5HKXxpRHaTOhKm/QYuPqKYyIhERERERkbFBheog9XT9DQbwd6fR1F8REREREZFhoEJ1kDqjaqYkIiIiIiKSDCpUBylxH9X49jQaURURERERERk6FaqDlLiPqkZURUREREREho8K1UGKd/3NCAUIaERVRERERERk2KhQHaRIQtffUCA+oprKiERERERERMYG7aM6SD2FavBYrd+tSlVERERERGTIVKgOUryZUmY4QNQvWru0RlUkqcxfD94Xp98/ERnFlL9EJF2lKn+pUB2knmZKwUDPSKrWqIokl27mRCRdKX+JSLpKVf7SGtVB6kxYoxoIqOuvyEhobGykvLy85/HixYtpampKYUQiIv2j/CUi6SpV+UuF6iAlNlMKmrr+ioyEoqIiWltbiUajACxcuJC1a9emOCoRkdNT/hKRdJWq/KVCdZA6E/ZRDWp7GhmH9n7s4+z92Md7Hau/7Tb2fuzjtCckr5annmLvxz7O4V/+qudYV2Mjez/2cWq/8MUBv29ZWRl1dXUAbNq0ibKyskH+BCIyXil/iUi6Gk/5S2tUBylxRDW+vlhTf0WSr6KigtraWlauXElJSQmzZ89OdUgiIv2i/CUi6SoV+UuF6iBFurqA46f+pjIikZFV/aMfnnCs9BOfOOFY3tKl5C1d2utYsKioz9f3R0VFBcuXL2fFihU8/PDD1NfX8/nPf55vfvOb3Hzzzfz4xz8mHA4P6toiMj4of4lIuhpP+UuF6iDFurzR03DACAXVTElkpFRWVnLPPffw2GOPUVJSAsCUKVP4zGc+w5133qmbPBEZtZS/RCRdpSJ/aY3qIMX89ajBgBHwR1S7tUZVJOluvfVWtm7dSnV1NQAtLS3s2LGDUChEXl5eiqMTETk55S8RSVepyF8qVAcp5s/zDQUCPYVql0ZURUZULBbjpptu4pZbbmHRokU8/vjjqQ5JRKRflL9EJF2NVP7S1N9B6hlRDVpP11+NqIqMrFAoxF133QXA5z73uRRHIyLSf8pfIpKuRip/aUR1kOLrUUMJU381oioiIiIiIjJ0KlQHKd5MKRSwhH1UUxmRiIiIiIjI2KBCdRCcc3QlNFMK+n+L6vorIiIiIiIydCpUByFepAYChpn3lXhcREREREREBk+F6iDEGymF/Cm/oYAKVRkfXJrOGkjXuEVk+KRrHkjXuEVk+KRrHhhq3CpUByFx2i/Q00wpXf8nEumPrKwsDh06lHb/nzvnOHToEFlZWakORURSRPlLRNLVeM5f2p5mEI4fUe1pppRm/wOJDERVVRU1NTXU19enOpQBy8rKoqqqKtVhjDpt0TYOdxwmM5hJaU5pqsMRSRrlLxFJV+M5f6lQHYT4iGrI76LUsz2Nuv7KGBYOh5k+fXqqw5BhtK5hHT/f8HMWly3mhvk3pDockaRR/hKRdDWe89dpp/6a2aQ+js1JTjjpIeZXpPER1UC866/WqIqMG2MhN2YEMwCIdkdTHImIjKSxkL9EZOzrzxrVp8zs3fEHZvYZ4E/9ubiZXWVmm81sm5l98RTnvdPMnJkt6c91Uy2W0PUXIGia+isyDg06N44W9269F4C19WtTHImIjLC0z18iMvb1Z+rvpcAdZvYuoAzYCJx/uheZWRC4DbgCqAFeNLP7nHMbjjsvH7gJeH5goadOfOpv+Lg1qhpRFRlXLmUQuXE06ejqSHUIIpIal5Lm+UtExr7Tjqg65/YDK4DXAtOAnzvnWvpx7fOBbc65Hc65CPBb4Jo+zvsm8B0gbe6YYj1dfwP+n16hGlWhKjJuDCE3jhofPvvDAJTnlqc4EhEZSWMhf4nI2NefNaoPA68B5gNvBv7LzP6zH9euBPYmPK7xjyVe+xyg2jl3/2li+IiZrTKzVaOh41VXt79GNegVqJmhIACRWFfKYhKRkdXf3Dja8leinHBOqkMQkRQYC/lLRMa+/qxRvc059wHnXKNzbh1wIdDUj9dZH8d6hhzNLAD8F/CZ013IOXeHc26Jc25JaWnqt1CIHbePajhomEGsy2n6r8j40a/cONryV6KMgNdMKdYdS3EkIjLC0j5/icjY15+pv8uPexxzzn2zH9euAaoTHlcBtQmP8/E+yXvczHYBFwD3pUNDpVhX731UzYyMkPdX2RnTHjUi48EQcuOoccfaOwBojbamOBIRGUljIX+JyNh32mZKZtbMsZHQDCAMtDjnCk/z0heBWWY2HdgHXAu8N/6kc64JKEl4n8eBzzrnVg3kB0iFruNGVAEyggE6o910xrrIzgimKjQRGSFDyI2jQrfrZn/r/p7vRWT8SPf8JSLjw2kLVedcfuJjM3sb/egM55yLmdkngQeBIHCXc269mX0DWOWcu2+QMadcfOpvKKFQzQwFaSZGRCOqIuPCYHPjaNEea+/5XlN/RcaXdM9fIjI+9Gd7ml6cc8tPtSfqcec+ADxw3LGbT3LupQONJVW6juv6C5AZ1tRfkfFsILlxNGiLtvV83+W66HbdBKw/bQtEZKxJt/wlIuNDf6b+vj3hYQBYQkJTpPEo5nf9DQcTR1Tjhao6/4qMB+meG9tibb0eR7ujZAYzUxSNiIykdM9fIjI+9GdEdVnC9zFgF33vhzpu9LlGVc2URMabtM6NiSOqF1denMJIRCQF0jp/icj40J81qjeMRCDp5Piuv3BsL1UVqiLjQ7rnxviI6qJJi7j2zGtTHI2IjKR0z18iMj6ctFA1s++f6oXOuZuGP5z00Oca1fiIalSFqshYNlZyY3xENSeUk+JIRGSkjJX8JSLjw6lGVN8OfBkoBo6MTDjpoa+uvxlaoyoyXoyJ3BgfUW2LtbGraReT8yZrjarI2Dcm8peIjA+nKlSPAo8D9wGXjUg0aSLeTCnYx9RfbU8jMuaNidwYH1Fdc3ANaw6u4dOLP82MohkpjkpEkmxM5C8RGR9OVaj+CFgBzABWJRw3vM5w4/aOJj71N9Rn118VqiJj3JjIjYldf6cUTCEUGPBuZSKSfsZE/hKR8eGkdybOue8D3zezHzrnPj6CMY168WZKvUZUtY+qyLgwVnJje6wdgBvm38DissUpjkZERsJYyV8iMj6cdnd3JbIT9YyoJjRTygh632vqr8j4kO65MV6oZoeyUxyJiIy0dM9fIjI+aK7XIMT62Ec1MxzfnkbNlERk9PvEok/QEesgHAzjnMPhCNhpP7sUERERGRG6KxmELr+ZUu99VDX1V0TSR8AC5IRzuHfLvdz42I08s++ZVIckIiIi0kMjqoMQO1UzJe2jKiJpJN5EKdodTXEkIiL919TZRE1zDXkZeUwtmJrqcEQkCVSoDkJXH1N/4/uoRro09VdERr/vrfoe4WCYqrwqACLdkRRHJCLSf5sOb+IXG37BeeXn8cF5H0x1OCKSBCpUByHadWIzpfg+qhpRFZHRLtodZUfTDgIWYGbRTO9Yl0ZURSR9/H3v3wHYcmRLiiMRkWRRoToI3S4+onrsmNaoiki6CFqQzy75LJ1dndQ01wCa+isi6SWeu5o6m1IciYgki5opDUKszxHVeKGqqb8iMroFLMC0wmnMmTCHcDAMaERVRNLL68qvYX3tUbpi2mJLZKxSoToIMb9hAMc5AAAgAElEQVTrb6/tafypv9pHVUTSSTjgFapaoyoi6STSNplYVzdNbbFUhyIiSaKpv4PQZ9ffsKb+ikh6qG2p5amap6guqCYzmAlApEuFqoikj/aoN0DQEetIcSQikiwaUR2EeNffxH1UM/wFq5FYN85fwyoiMhodbDvIU/ueYl3Dup4RVa1RFZF00RHrYM2hJ7zvuzp03yUyRqlQHYRj29Mc++sLBIxwUKOqIjL6tcXaAMgOZZMRzAA0oioi6aOps4ltLc8B3nKsji6NqoqMRSpUByHW5RWiiSOqkLiXqgpVERm94lPlskPZPSOqsW6t8xKR9NASbenpF9LV7TT9V2SMUqE6CLGeEdXehWpP51/tpSoio1h8RDUrlEVGwB9RVTMlEUkTzZHmnh0Yurod7bH2FEckIsmgQnUQ+lqjCpAV9hf2R7VFjYiMXokjqtnhbKryqyjPKU9xVCIi/XO0s7nnXqzLOdqibSmOSESSQV1/B+FY19/edX5BdojaRmhqj1KdisBERPohPvqQHcqmJLuEL57/xRRHJCLSfw1tR489cNDY0Zq6YEQkaVSoDkJ8jerxU3+Lc7wpdE3t6p4pIqNXfEQ1J5ST4khERAbukF+oZlJKHjPJDhanOCIRSQYVqoPgL4s4YepvkV+oHmnTWi8RGb3iI6pZoSwAnPPWeGUEMwgF9M+CiIxuRzq8QrWIRRQyl5zAxBRHJCLJoDWqg9DV3feIalG21z3zSJtGVEVk9Eqc+gvwvZe+x+ef/Dw1zTWpDEtEpF8aO5oBCOLlsLaIupaLjEUqVAch3mnuxBFVr1Bt0oiqiIxiPSOqQW9ENSecQ0YwQ3sRikhaONrprUntJkIz29jRuDvFEYlIMmiO1wA553o6zZ0wouoXqo0aURWRUSxekMan/n747A9ryq+IpI2WqFeodrCfRl5hdX0ry1iQ4qhEZLjpzmSAEotUs77XqDaqmZKIjGKdsU7gWKGqIlVE0klrxCtUC0OVRGPN5AZKUxyRiCSD7k4G6NjWNHbCc4XZx0ZUnXMnFLIiIqPBp5d8mkhXhIxARqpDEREZEOccbTFv39Q5RQvIbJhFdZb2gRYZi1SoDtCxEdUTl/eGgwFyM0O0dsY42hHrKVxFREaT6vzeOz1vb9zObzb9hqq8Kq6ff31qghIR6aezs9/LzvYjTC7MYVdDOy2daqYkMhapmdIAxUdU+xhQBaC4p6GSpv+KSHoIWIC61joOtB1IdSgiIqdkZgS6ysljOmUFWXTRTm3rnlSHJSJJkNRC1cyuMrPNZrbNzL7Yx/OfNrMNZrbWzB41s6nJjGc4dEa7AMgMBft8vlB7qYrIKNbU2cSvNv6KFbtW9BwryCgA4GjkaKrCEhHpt1Z/BLUkL8QO/penD/+Uzq7OFEclIsMtaYWqmQWB24A3AXOB68xs7nGnrQaWOOcWAPcA30lWPMOlI+rtoZqd0XehemwvVRWqIjL6HI0c5dnaZ3n5wMs9xwoyvUK1OdKMcy5VoYmInNa+5n3s7HyUo2ykekIeYYqIxLo50KoZISJjTTJHVM8HtjnndjjnIsBvgWsST3DO/d051+Y/fA6oSmI8w6LdH1HNCvddqJYVeF009zdpP0IRGX2KMou47szruHLqlT3HwoEwOeEcul23RlVFZFTb1VTLEbeGjuBOKgqzyQ5MJNrVzc7GfakOTUSGWTIL1Upgb8LjGv/YyXwI+FtfT5jZR8xslZmtqq+vH8YQB66jp1Dt+6+uekI2ADVH2vp8XkTGl9GUvwDyM/K5qPIilpQv6XV8cu5kAPY27+3rZSIyDo22/AVQFC6jlEsoz5hPIGBMzvU6/m6qV+4SGWuSWaj21W6ozzllZvaPwBLgu30975y7wzm3xDm3pLQ0tXtlxQvV7JOMqFYV5wCw93C7ptCJyKjKX6cyo3AGADubdqY4EhEZLUZj/soKTKCYc6jOOQuAaUUVAGw/UpPKsEQkCZJZqNYAiXsgVAG1x59kZpcDXwauds6N+pXwp5v6W5wTJsffoqapXZ1/RWR02d+yn6dqnmJH445ex6cXTgdgR9OOvl4mIjIqxBsp5WV692GzS7xbzZqj+1MWk4gkRzIL1ReBWWY23cwygGuB+xJPMLNzgB/jFakHkxjLsDndiKqZUVXsTf/de7h9xOISEemPrY1b+d3m3/FC3Qu9jscL1d1HdxPr1p6EIjI6bTq8maNsJhDyllidXTYFMBraG4h2aYBAZCxJWqHqnIsBnwQeBDYCv3fOrTezb5jZ1f5p3wXygD+Y2Rozu+8klxs14l1/s07S9Reg2p/+q3WqIjLaxLdwyAxm9jqen5FPaU4pka4ItS0nTH4RERkVVh18hjpW0Gl1AEwvKSTLJtEei7Kq7pUURyciwymUzIs75x4AHjju2M0J31+ezPdPhp6pv6GT1/jxEdVdh1SoisjocrJCFeCMwjOob6tnXcM6phRMGenQREROqyXSCkBRVh7g7Ws/p3ARrzQ+yPJNT/DayiWnermIpJFkTv0dk3qm/p5iRPXM8nwA1tU2Ee3qHpG4RET6ozN28kI13gn4hboX1AxOREal1qg3CFCYmddz7F3zLwGMl+te5WinttgSGStUqA7Q6ZopAUwqyKKqOJuOSBcb9ythisjoEemOAJARzDjhudnFs5lWMI1zJp2jdaoiMiq1+YXqhJz8nmMXTa9mQng6HdEYd6+5P1WhicgwU6E6QB2R+NTfkxeqAIunTQDgpd1Hkh6TiEh/nWpENWABPnveZ7lm5jWEg+GRDk1E5LTau7xCdWJCoRoKBnj3mV77k79ufZrmjo6UxCYiw0uF6gB1xLypvNkZp/6rWzy1GPAK1baIRiZEZHSIr1Hta0T1eJr+KyKjSaw7RmdXBDCKs3N7PXftOYtZVPA2Jsfey29e2Kf8JTIGqFAdoHZ/RDXzNCOqlUXZzC7Ppz3SxSMb02LnHREZB+KFalYo64TnnHPsPdzG09sO8pt1K7jluW/R2NE40iGKiPSpLdZGV5cjSBb5Wb1nfQQNvrToLBZFN7Fr8yv8cuVWYl0aKBBJZ0nt+jsWtfejmVLcNYsq+O6KzTy0vo43nDmJ3Ez9dYtIakW6/DWqgd4jqtGubu54cgcv7z6Co4u9PEo0UIe1P8KNr72GwmxNBRaR1GqLttHlugmSRV7iPVW0A57+HpP3v8KHglG2N7Rw3+ooX945lZuv+U9y80tSF7SIDJpGVAeop+vvKZopxZ1ZXsCZk71R1XtX70t2aCIip9WzPU2o9xrVO5/eycu7j5AVNpZmtHFFyxKq2y5m556pfPGPa3lux6FUhCsi0qOps4XubghZJlnhhFvYpho4uAEy8sifeSG5U6ZQE26lvnU9L959A+2H9qYuaBEZNBWqA+Cc6ylUT9X1N9F150/BzHhi80F2H2pNZngiIqfV1z6qDS2dvLjzMOFggC9cPosr16zgunWP8/WF57OwuohIrJs7ntzG8tVa9yUiqXO4rRmArGAOZnbsiZKZcMnn4cpvwiWfZdZ7fsInLv42r+uaz/7uedzxcrtyl0gaUqE6AJ2xbpyDcDBAMGCnfwFQVZzDFXMn4Rz8KWFUNRLr5pW9jby46zAtnVpDISIjo69mSi/sPAzAoilFTCkrpPCtbyVr7llMXzCbG18/k8sXBHD7b+evT6/g9se3K2eJSEoc8gvVnHD2iU9OXgAFFd73Ziycdzlvet/tPFf6Dtbua+JrD/6VQwe2Q6RtBCMWkaHQoskB6Ix6HX97TTfphzefPZknttTzak0TO+pbyM0M8cPHt7P3sL8XWG4Gn7lyDuWFJzY3EREZTu+a/S7aYm1kh7wbPeccz24/RDAW5YIZEwHIu+QS8i65pOc1hW2vcPXLO2iLbOGPgVd5pLaEc6fms3DydF47+bWU5pSm5GcRkfHlSIdXqOaG87wDzkHty1C+EIIn3tJOKszmY5fN4d8f/TuP1/2OXX/ey5xANjnVV3Hu7Ddw8dT5BAP9myEnIiNPI6oDMJBGSonys8JcNmcSAP+xYhNf/tOr7D3cxsS8DCqLszncGuGWv27glb3qrikiybWkfAmXVF1COOA1R6pv7qR5916u/uuPqHr8/j5fc8U576bkNRfQclYprROO0BDdxEPbXuRHq/7Evz35Df6+5++aViciSVeaMY1JXMbUnLO8A0d2whPfgQe/1Ou8xHx01uQCPv2G+UzJmUynOTZ1HeblXb/h+4/8K9f/7iZerNkykj+CiAyARlQHYKDrUxO9ZcFk6po6WLO3kUDAuPCMiVx7fjUBM37y5A7W7G3k+49uZdnCCq5eWEGgn1OLRUSGorapg4mHaskLuJN+chnOzWPpZ7/L2W2HeW1rLU9s3cfW5zYzddMzvDjzKP9+5G4emvw8/+e86ynPLR/R+EVk/MiyUopYQHW8i29Tjfdnvpd3upqbafz9Hwjk5VH8nncDXtE6Y8MufnblV9kROcqrz99JQ+1TrO1qpeno83z3bx9m3qTX8/HX38Sk/OJU/FgichIqVAegfQiFak5GiBvfMIvGtgiBgFGQsP/XJ18/k7++up/lq/fxl1dqWbO3kXcurmJeRUHvZgEiIkPQEevg2dpnyc/IZ0n5EgDqmjrYNWMBs5cuoeCcymMnd3fDvlVwZBfMvBxyJlDkfy0onc/+LQeoacmBg2X8ZdIhnt61jpdq/43Lp17Kh8+9huLsotT8kCIyZrV2evdhPVvTHN3v/emvTY3s2EHbqlVYRgaFVy8jkJ1N65NP0viHe2h97nlmfflLzFr2f6H9CE1rl/P7tb/m6e5GNh1YwbV/2s0VU6/gY+cvozg7LxU/nogcR4XqAAxka5qTKcrJOOGYmfHWBRXMKMnjrmd2svdwG//18BZyM0NUFmdTXZzD4qnFzC7LU+EqIoPW1NnEH7f+kZLskp5C9cDRDgAmVpYTKvFHKY7shmf+B476DeCqzoOcCd73kVbIyGXS264mt6yUuYvPY1bdUX6x7g+w/0W2bL2Xz+0s4pIzFvKa6RMpKYgyIbtYuUtEhmzTkbU0sZ9AsNA70Fzr/ekXqtkLF1LyLx8nXF5OINtbh5955plkL1pE5uzZPdeJdUA4vIgPXfc2zl/9e368ZzU10RYe2PlXHtt1P28KFnD5vBuYOfcccjK1h7RIqqhQHYB4p8ucAa5R7a+5FQXc8rb5PLrxII9vPsjh1ghb6prZUtfMoxsPMKM0l+vOn8KMUn3SJyIDlxXK4rLqy3p1/K3zC9WeZm71m+GxW6ArArklMPViiI+OOgcPfw0y8wjOeQsFb7gEMnK5elIJb573OZ79ylc4sv5l1nQ38ESsnic211MX+gNFud3cMP+fuHTGmYSCao0gIoOz9sjTHGAnXYH53oH4iGr+5J5zss8+u9drwmVllHzso72Ota9eQ+Pvf0/2wgUs/PjHuc05VmxZzc9fXU5L0wvkNO6l+6GvsubRfPaVzqG5qpJrzr+OiZoaLDKiVKgOQEOLt61DSV7mac5M0H4EalZ5f05bCgWTT3l6VjjIWxZM5s1nl3OkLUptYzub65p5ams9O+pb+dZfN3LhzBLecW5ln6OzIiInU5hZyDtmv6PXsfCLz7J0+3omnPEOmDgPnv5vr0ideiG85mMQSsh3zfuhtR6a9sLBjd6x8rNhzpsITj6Hc5e9lea8PBZ9YBkvHIzw4s4G8l/eSXl9Iyu2vcq9Fe3MKSvgjLIAS6ZUUlaQqZFWEem34uBMCshiUu5E74Mzf0T1yIPPknM+ZM6a1a/rBIuKyJg6hdyLLwa8mW1XVs7mikmfYvuhLRxe/xSBmtXktjRwuPEpnu5oY//G33HZhCspuvRGzpqcr9wlMgJUqA5AfbNXqJbm97NQrd8MT34XOr126qy7F858C5z7fu9xvCtdH8nOzJiQm8GE3AzmVxbylgWTuX/tfh5aX8fKbQ28tPsw1543haWzSpQsRWRQ2iIxMuv2UdpQS353BFb/EtoPQ8lsuOATJ273UFABb7sdtj8Gu5+Fxt1Q9yrUvYrlTyb30i+Se+GFAEyphnecW8m29Qupb97Aqswwr0S7WVPTwKObfsRvI0XkV17OBdXzmVtRyIySXCbkZiifichJlQXPp5m5VOSXQNsh6IoSi2bR8uyztL64msrv/AeWcfoP8XPOPYfscxb1Otb84EM0P/YYlde+hznXfBaco7VuK/tf/gN7ap9gfmeMmvoj3PnQZkLZ+6mccJB/DDUx44yLoWTWseURIjJsVKgOQLxQ7deI6uEd8Ng3oSsKk86C7GLYvRJaDhw75+AG+Pu3oXwBzHmTNzJxkpu0rHCQdy6u4pJZJfzuxb2s2dvIz1buYvWeRt5+biXVE3KG40cUkTFsb/Neol1RynPLyQnnUNfUwfqzLyYyfyFvPPtsWPscWABe20eRGpeRC2ct8746W7yidcsKf6pwwn6qLfVYdjHTb/oEk9et44Lzz6cpZvx9x3rW/6qR2es288JZW/hZ+xkUbplHAWcyIbuY6SW5PV/TSnKPNU0RkXGv2V+ClZcZgpw8uPoHWH0NBSW1EIv1q0iNO/5Dse6OdujuJlxZFT+BQEOE1zSfwWVveC9Hc0O8vKOeifuCrG1Zxa69a9karWHalj/yWstlSX4lpRXzsJKZMHEmlJ4JQa1vFRkK3QEMQL9HVCOt8OR/ekXqtKVwwcchEIRz3t+7EO1sge6Yt1l17ctQUAlzr/bWhJ3kJnFSQRY3vmEWK7c38MvndrO2ppFX9zVywYyJXL2ogkn5WcP144rIGPPQrodYfXA1H5z3Qc4rP4+6ox10ZuWSNa2a0IQJcOkXoLXBW5vaH5l5Xs468y3eh3ABf/1+RxPc/68AhIqmkle1GDoPU1wwmbeffQ4XXfRBdrXcy8az85mY30Fr5/MEtz/EzC3d7Jm+mJemvY4Q3odvpfmZTJmYw7yKQhZWFdLQ0kluZoiJuZlkhLTeVWS8iHXHONC+i04yyM0MefdTeaUE80opnH7OkK8/4X3vo/AtbyFQWNhzrH31alpXriRYVETpVVfxxrJqruju5pFt3TywIYPdh6Js6m5hpzvKb48eobpxM3MD2SwI5VD9zrspKvRz6dFaCGV5Sycy8yF30sk/DBSRHvot6aeOaBfNHTGCAaM45zSfkGXkemu7dq+E8z507Obt+GkhU14Db78Dtj0KWx/2Omw+90NY+3vvxu/Mt5z0LS48o4R5FYX8de1+Ht98kGe3H+KFnYdZOruUt5w9mQm5Wr8qIr01dTYBUJTpNUeKd/wtK0j48K2/RWqiQLCn6yYADdu8fNdyEA5v977W/h4mnAEzXkfZVW9m0lv/gcXdXWw+spln9z9L16YHqGw5xJHQarbk7ybYVUJefRHTn9rHobJ5/Hy216U4vmTCAsakgiwqCrOoKMpmUn4WpfmZTMrPpCgnrCnEImNMU2cTW6K/I0QeuRlXJOU9gkW9t9XKe90lBIsKyTnvvJ5j7atWseCRR1i67Bo63/gp/rzpGZ7a8zx7GzdwsKuFdd0d3NvdSv2fPkdZ1lTmTpzF+xse4QzXCs4fybWAt/drYRXMfhOUzfUu3hXz8qnylwigQrXfehop5Z+8+Ud3NMqRQ/uYWD4NJi+AyQt46dffJ3NCKVMvupL8/IknviirEOa/Hc66GvashPXLvYI1vok1eKMTq+7yRmcnL+r5FK4wO8x7XzOFK+eVsXz1Pp7bcYjHNx3kic0HObuyiEtml7CgqohgQAlPRKCxsxE4Vqg2bt/D/FdWMqVwDkyLQPH04blBqlrsfUVaoX6Tt5615kWvYG3cDVNei4WzCAVDzCuZx7ySeTRVX82rL/2NssABplJLrLuVioa9VDbuYe6UMmITc9l3pIVi28HS5fdzoLCSZy55JweaOli9p5Giw3VEMnNoy8knHAr2FK2l+ZmU5HnFa1FOhvdndljdh0XSzKG2ZnCQEcz2fn9X/ZTogTqiueeQMX/Jse21hlHG1KlkTJ3a61jb8y8Q3bOX7uZmirJz+eA5V/K+aefRsm8PK62Jp+s2sunQZmg/SF3HNhpqNrK/8wAfbcnnUKCEcKiVbeH9nHH0EOfU7aJzwmuYMLHbmyGy6X5Y90eviM2bBHnl3oeH2RO8PyeeMew/o8hopkK1n3qm/Z5kfWp3NMqjX/1njkQa+Yf/vIdwIEx3ZycNy+8lRhf/y1PMmXw2l1RdwtwJc08sdoMhmH6JV4zuf6X36Oue5459ZRbAGa+HWVf0jHyU5GXyz0tn8KazJ/OXV2p5efcR1tY0sramkcKcMJfMKuXiWSUD61YsImOKc+6EQrVz+zZmbXmJ0oJd0P5Lb93pOf84fG+akQuVi72vWMQrVlvqIKvAe74rBg/fDJPOorD6NVz8+g9wsRmRrghbj2xlY/FLHJ64icsXvZulc+YQ7YryrV/djtlu3jB7LldcPY/axnbWHNjEGbffi7VEeOitH6GhK4faxnZYt5aW1iaerZhBS37vGS35WaFehWtxbgaF2WGKczIozsmgKDdMfmZII7Mio0Rtcz0AOUE/f+xbRfuq7TTt30Le5U0UX/ueEYmj5KMfof2VV8g888yeY23PP0/z8j/z2ssu483v8bbCOXjkAM++upKn2vdw4NBEbs+cDWa0sJ393MfE7olcEFnI3uejtK16jqMZj7I4upf57fuZdLSB8mCYScEwmaEgATOveF32P8cCeeTrEMr27hezi72v+Pd5ZRDOHpG/D5FkUqHaTz2NlE6yPrVx3w66a+vIbj1A3d9upvqNXyca7ST8pjfQdKQWlxFmfcN61jes55IH91M69UxmvesGKkvP6H0jZAYVvTvRUbkEou2w62lvW4gNy2HDn72Cdf47INcbqa0syuZjrzuDox1RVm47xBNb6jl4tIO/vFLL/WtrmVtRyHnTiskMBakqzmZyYZZuwkTGieZoM92um5xwDuFgGOcc23MmcXT+Rbxu8qveSZPOSl4AoQyYdlHvY/Wbjk0N3nS/d4NVNo+MktnMK5nFvEXvg3OP7VsdDoapXHQR66ZM58qzP0poQg7VE3J4qPZhcov2kxOKknfWE1RllZBpRUzd9iJ5O2vZNWcCDVVTOdrRTeaGV5jxwqPsnjafDfMvYu9hCMaizNi+hvbsfGqmHLv5DJijMCeT4pwweZlhcjOD5GeFyMsMk5cVIi8zSF5mmPysELmZIfIyQ5rBIpIke5q8rWiKMkq8D75aDxHKC5N9zhIyZ/dvW5rhYBkZvaYCAwRycwlXVpI5Y3rPsfzaBs799UO89sw5FN/4Xlo7Y+RaNxsereGF6MU0Tawmu+ssChrbaTy6mwOdm3kA+FtmKWEXJewiZMTaKYgEKCVAYaSRyIO/ZlLOBCZl53Lx7tVMDIYIBwKEguYVs3HnfRhmXe59X7PKa3qXkeetj+35KvD6DJSeqanGMmqpUO2n+pZTj6hOmDaHpZ/+Vw48+f+oDnRDKJPMvExef8NXAXhTpJlna59l1bqHyNtxkOZ9DXxn1hFysguYWTSTObVGVflsqs46j3DGcQ2RcifCvLfB3GugYQtsedAbXd3+KHQ0wus+3+v0gqwwV80v543zythyoIUnt9Szavdh1u9rYv2+pp7zsjOCnFGax8xJeZxRmseM0lyywkFEZOxp6ui9PvVwa4TD+RMJLswnn6chEIKy+SMb1KS5cPnXYe8LUPOC18hp19PeF8DVP4A8v5NwawNkFfLhOdd6N1z+jZVzjorCara/12hoa8C1H+RA+0EADlUepjAjwq78R+gIPMOECROYmneY6qx6Ljx3Mp1XzqWxLcLuHWspf2QlHXkTefm1r6GpLcKRtiiv+ctd5LQ388Rl17KjwPtAsHz/DooO11E3eQaNE8oBCMYiZHa2E8nIIpyb4xezJxa0eVkhcjOCZIW9r+yMIFmhgP9nkICKXJGT2tHoFaqV+ZO9PZ1x5MydQc6yT6Q2MCBv6VLyli7tdcx1dhIsLiZcUUE4GKAoJ4Povn1MuP8h3jppEpO/8S895+772Sp2Hj2LtQuq2R09ysG2eo42H6TRtXCk27HbAXTB/gfiV+d+5jGvYw553UeJuf1szdjAdBfmjV357NzSSbRxD81uF2ccWc30mqcpCAbJsSChYIBAAAzz9sl+98+PBf3glyHS4hWyGfm9C9tJZ0HpHO+8SJu3lVkoG8JZ3p8BLaeQ4adCtZ+2HWwBoHrCyadS5Bxdx/SSfG/67nHyM/K5ctqVXD7lcrZVPcGm7c+Tm91Ec6SZNQdWU/LLDTS3x9j1pU9x2blvB+DAxtW0dTYzaebZ5OYVezdmpXO8r/nvgHX3QPUFx95k/yuw4T6oOg8qFmF5Zcwpz2dOeT7XdU7h2e2H2FHfQiTWzc5DrTS1RVm3r4l1fvFqBlXFOUybmENFUTYVRdlUFmWrMYnIGHCk8whwrFCt8xspnZVxACLO2wcwNMLLAwIB7+Zn0llw7gegcY+3/3TDFu9GNLGx01O3ett+AQQzvKlteWVYfhkfqroQzj6Lzq5O6lsP0tDewMH2euor6mlobyCjrZ62zkYa2ht4ZmY3tbPP5abzriJYmItzOfx6zW+YNq+N6xa8k0uvmA3Arzb+ismP1RAmyvyFtXTntmMuh/LajRTt2cTeqbkcqJxOeyRAeNd+5j/4W/aXVPPMJe+kPdLFQTp53WO/IRYK8/DF/4Dzm+pV1Gwlq72FuooZtOV63UXDkU5CsU7IySEjO5vMcJDscJCscMD/M0hWxrFjWSG/yA0HjhW98fP851X0ylhTc3Q/ANOLK/xCFcivOMUrUivn3HPJOfdcXFfXsYOBADnnLSFQUNBzyDmHe2kNUyMRLvznTxHI8TqeH7r7blqeew537TXsmTaJHY11HNm+mcyNW6kpDhGZupAudza72zo51LiWnaHd7LIZbOFqqIdY/U528BNCLkKGBQh0x3YA1tAAACAASURBVAi7KNkRI88ZBQY5gW7ql/+A3FAO+Zm5XLZ3PfO6IBjwGtZ1BBz5FiQzGMDOfiehktne/WD9RnjiO71/4FCmX7hmw+Vf82bIAGx6AJprIZzjdT4O53jFbTjHy/ETZsT/IrzZg+FsjfBKDxWq/dDaGWPv4TaCAWPmpLwTnl+/6UnKquZQsn+td2DqhSe9ViAQYPaiy5i96DKWOcfBtoNsr9/E0UX30l6zh9nTF/Scu+0PP6Vp7Wq2Xv9urnzrjQDUrnuBHS//nYK5C5i06D2UZJcc+4+49wU4sM77+v/bu/MoOarz4P/fW9V796w9u0ajGY1Go32XQGIVkhCbgNjYBhti58W74yzO5jg+74+TxCd+E9tkcXY7iZ3YsR3sYIwBA2YzCAQSSGhB+zKa0Wj26enpvaru749qzSrBANJoRjyfc+pMddXt7qdbraf7uXVv1Q7cHrCoez2vSHkzmxYsBioBNzH2JrIc7hzkSFeCI12DnOhJcrLXXUYK+EyqCgOUhn1DS3Tor5/CoMzjEmKq6051AyPO+Hu6l9qW/TTOaIMgEJ28oXNnpRSUzHKXudeP3pcZBMstrPEE3PXYSXcBCJVBxXz8pp/a3hZqX/4X95quwWJ3eFuwiVxRmB5T0V8xDwwTs6gIbIuUnaGkso6ejTWUrr196CkP9R3ixQ/V4M3Y5HI7IObmuFPVA5SoHB2lW4kZOzGDJnVFOVTVILeuW8AH71rOYNriySOPMuuxo4RVlJrVdcQzNu2JDmbu3ElRy0l210bpLKogndNUntjNglee4FjDEnau3AipHL50kit/9WMS4SJeWnfrUFzNb2zDm01zeO5K0kH3+6iov5NIvI9YcfnQXNyg4VBopfGEQngj4VEF7shCOOAx8XsNvKa7+EwDn8fAayq8poHfc+b2mUVJvheTTmtNR9IdKTG/bCYMvIKdsXHsQjxaT+nPpDJHTF+oriZ6772jG2hN9P/8BlZv31CRCqCzOQwUZWV11Ncv5GpgMF5I3xOHCNetofQWd06uPThIyxf+gUFPiME/+ggRs5r+VJb0g9/neLvDjqUz6AjaJK1B/N2DRGIZOov9HCxwrw5h9L6I13LIeg1eMxfQzJUEnCRYXezwPkLYVtwUX0bLNof23TvoMB6m1OmlMTVASNuEtUMIhwCKgDIIKoNTu3cQCZUS8QWYvf8ZavqPYhhgKIVpKJTKH9GtXQ1X/777ghPd8NBvuuse//jCdtlHhk8m1f66O2XEE3SnlZgjFl8EyuYMv7+pPjC8+f1eKYKnGSlUJ+BgRxytYXZFBL9n9NDYbCpBy33/Hwc9Oa7eVE60bPb4y9Ccg1KKynAlleFK+L1rxu03qiqwe8qpqJs7tK3t1ecZeOhhXjv5Mgdi1SgUNakAS546ATMqyK5bTnGsnZKBDgraT1HU3UVReAfesia4YXE+6ARq2z8RDZURDUW5rLoMGqNk/PUcH/Rxsi9FeyzFqViatr4UiYzF8e4Ex7sTZ30dpqEozZ+IJOL3EAl4KAjk1/0ewn5zaP5W2Och5Dfxyhk3hZhUh/oOAVBfVA9A7MAhVm97hPKaJKwPuJ1aU5U/ArfcD47tXrohm3Cv2xrvcP+OnFub7BlfyAJeoMrwUPWh/xr+ofL4nxCKtfIlbwh8IXjsS+5fb5CPlS5koKmZwewgg4kOBrv3E8ch0VTO4JwcppPFZ6fJaotj1Qbd9yzkhqs+CkDE7+HA4HbeuLWU31r0KVYsdo/6fGv3Lzg0u4WCojSnKh4lWfgMAU+ASF8MT1WcaONJlix6Ba8KEOhNM+vZE0Qic1l0VQPpnM2JgWPM2LqTcCxN9NqrGSgoJp5JUHlkH7W7X+WNpddwsLScdM4m3HGKdc/8iJ6yGp5bf+fQ+7DpsX9HOQ5PbLoby+seQW88uIPS3tMcmbOM3rIZABQM9FB5+jgDhVE6q+rdO2uHsp5T4PWRqnCHM/o8iqCdw+Mx8QT8eD0mPo9b8HpNhc9j5v+OLYTd+/pME69HjdrnMw28Ix5jKhchYnIM5gYZzCYw8NFUXg67T5FqSdD31FOE2yKU/vo9FzvEd0wZBsFly8ZtL/vkJ9CWNWqbr66OwltuwTezdmibk0ziKyiirCDC4lnDc+zbE33MSxbxsev/EG91NVpren7yALHdj2HNu5ruy5fSlYiRPnKUmu8+SF9FIUc+tJYZ/kUMZmyiP/oHqlJZnr2yiT2FW0hkLMpPHCAUf4WjNSEOFbnTIYJpm6JEjmQAEiETA4fcvv8YiqPUVlyXuQafTuPTWZ70b8XA5v3pucSTXg707KbT2YpptbFooIswDj4MAij8+cI3gEGndx4Uxwl6/dSceIKGU89jKgNDuYWvYSgMQBXVYGz56+G88bPfBitz5t12T15q+t3CdfEdMGeDu+v0HnjjZ+MLX0++7YLb3EIX4PRud/jz2dr6wu6BInFeSKE6AQdOxwGYVzX+g3f06A5SAYXp9xL1+s7rHK+1n/zyuG0l85fSH++isDZANOjQm+ol09WBammnx4mzLYn7iywaZfNP2jAzWUo/s5nL6y4DYMd376fzjZepqOphZbk7LKO7P0VLbwJ/kY9gNMiiK77A6sbFhLQPb98hkr3t9NpB+i0vvRkPPVkPXRmTjrRBd9JhMG3RFc8MnXBqIvxeg5BvuJAdXnfncIVHFLjhEfvkR4sQb5/t2BzqdwvV5hJ3jlF3zkDXNLK8Yq/baCoXqmecuSa1L+wOFzszZGyk+Vugcb3bO5+OQWbA/ZuOgZ0b3ZueTYBjuW0yA6Mepj5SBeX5ES6nd8P2H5w1pKzWDF5/H9kzHZS7fgBd+9mQ6Sde5Kdk4AV4eRd4QxQnO+lYs5g2K0Uul0Ane0gZcfbNMtg3qxJUDnp3gjIwbMXh26L8wer/Q0mjOwT6H3b+mB3Lkmyp3MDdmxZhhEI8fPRh9hx9DbJxYrO2Ylbvo8TwURJIoSv78VZpamY/gcIL2kNUH6fQU8yWlXWktcHJwSNU7nmd6u5uQsuX011TyGBukHD3QRbufY7WhrkMNFRgWwYqlePKp3+I5Qvw8G3D8wKvfvqHRLvbeO7aD9JT7v6Ann34NeYe2M7RxqUcnLcGgFBigOU7HmcwUsKuFRuG7t+87yW8VpYDzavJ+d3pNaXdbRTE++iNVpMsLsNrGgRzKUoHenDCIdLRSjyGW8gGk3EMjwcdjuTn3yk8CkzTwGOo4b9K4THdIzqmodxtRn7fqG1n1o3hddO9/9D62P0j/sp31Pl3pK8Ny9aEjVL3CgbRRnTpHIxSG2/dzIsd3gWjPKN/pp/tcjneigpmfP1r6Pw1ps8ouevDOPEBzFI3NymlCNbOgjWXE25eTvNMN7+lVTXdNa/jb5jNbVduGbp/6w/TrDRn87m7voryuUdfO/7pVToPl9C37np65s4knk3h3bWX6qd/xenGal5bv5iUlSabSnDD954j4Td55Neupse3nnTOZvbWX7C6L8lzS8t4uPhuFIqKA/upOf0ERyttflTtduoFslnmnBwkE1C01ARQ2iFz9H8pHrDRQC6U4f3pVQScLB6d45nAPuJGgk3JWQT6Qjz5ne0MGK+RUidYPthKAAcfDj6t8SoDDwqvgq7ck8SPduL3eKmMH+a69q1EcIvfbmWRUg5leChUJkcLrgEDHCxqt/8HoYFjeFBDhbJSbqGs66+Cdb/p5oJYKzz2RfccEGb+qK7hyd/2weWfcUcRARx6Ak7tdL/nDNM9CnxmPVTmnqvmjL0PutfiPfNYhjm8Hm10zxANkOx1O3PPtFFm/qhyvn2odPg70bHdx5xi+UsK1begteb1/BzOedXjC9U93k6euXs+1/fkfwRVLRnX5nyas3oDc1YPf8Hn7Bx9/afpW3aQ8uwgFZUB+tP9xBI9qKoOrGSCopV3QdQ94pA+dhR9qIX4qo0wfwUke2h95ilOv9zC8Tle9hV5YP9/EHxVsf57+0kHc+zY5CGkDEIYzH41TTgH85ZFmT9zGdz6FVpe38bhva9QMvgKVdEZpPARzxp0xRNkPBHSgRLa/PPpUBUkMhYq1UNBohcr6SWpvMTwklM+LOXFUl60OvfRVsNQBLwmfo9BwGsQ9nnyc7Xcbf4zvfme4SFr/jPrpjvEbXj76J5/+XEhLlUt8RbSVpqyYBnRoNsLfqygko4rbuPGLV8ET/+ER4JMeUoNn/zjrdz2Tffsobmku2STkEu4f8980YM7lKz+ytH7c0nIJvBZaUoj1cPzsfpOQOcbXHvmvrGXhh7mjuplsP5L7o10DPvHnyCNQwpNCockDintkMIhteBW0nNnEpk1B/b/HA48Qr3Vy4mKLEWhfRgvfQNMH95sJwNL6ulelCVjZ9CxNtI4tPoNWm8Ng3Kgf5f7A8Qb5LGPzOQT8z7GmroSVKKTB9sOs31JjBnr1vDhdSvwlFXwavcefhJ7jaMrbWLlx1Fl/4MH8KYtYrP7cDweCmf9EI/yorXCV3KYMhXgN65tIlddy/GBI5zu3Eml0UnNrEIWr6xlIBPnyKFnqY3tJW4W01o5A8cxcByDpratBBJJTi4rIxmMYNkGtW0vM/vQIV5ftpmjhVEsJ0vo9H4W/eoxuqrmsPUq91wODha/9uO/w3A0D77/t4fmAl+29SEqTx1h29ottM9wO2FmnDzA4tef4/jMeexd4p5LwptNs/aFn5LxB9k2Yoj1gt3PE07G2LfwChIRd7h8xenjVHYcp7NyFh1V7tldfekks47vJR0Mc3LWgvxHUDHz1CE8OPTUzgG/H4+hKIj3EkwnyJaUYUcK8RgKr5UlmBrELo7y61fNpjjkm+AH/b3ljc4WAMpDFe53dfONFDTfSERrGDkH9D1s7G+YQPPccW3Cl60hfNmace1q779/XKFb/rtfQGfS4PUObStYvRJ/VQXzVq3GO8MdfZEyZjLQrlm+YAF3broFALu/n1OPn8YoKOAjHxg+6HL60KOkEk3ctenTFM5ZQjpnE3+0jd59PrqbFtO6ZAmJXBpOtbPgiUeJlYR5buVlZO0MWTvHxidfJBBP8b+3L6K/6QNkLYe65x9j476XeHZZIVub78S0o5R2nOTyVx/heHmKZ5YPz2Pe/JI7t/nJy9zOPyd5nMYD+ygezPHKjACHA9dT7EQIx/qIxV7iSFEvVYXzmG1V8PIvD2P2P89pzyvoSAyvk8VA4885eDUoU+MBEvufouPIUcAkopN8rP8Ucyw/SsExT449vgyNto+lVoCnUvvpDJymPfcas2M7qEwcxkO+Uw3wKIWhFblgOSf7g3gNA69hsnbXt6jGnXaXwaFTWQSUogoffQvuYbBuPUkrRqT9JaL7/xsTA1PhPjZgKrfAznzge5iG6XayPfFlVN8RlPK4548YKoI9MOsKWJEftTBwCrZ+c0RxbMKVv+t2IF8AUqi+hVdb+uiIpSkO+ZhTPnp+qtaa3d27QSkWXfU7kBq4sJd3OAuv6aUiOpOK6Fl6FFd+dtym+ts/TPc111C1cBWU1wMQzlZjZB6iqL6YWXOKSNppjEQP2lTkfF5ioWJijgXaZlb7AFbCpnO5h/l+92QA3S8+TfqJn9EyH5aH3Xlkre1x2p4+SW+FybZrgxBpwAiXsfG7b2BYKV67DoKmgVcrZuzPEOmzCcyOsLC0nOeXfZ1Ey0Hi+5+kQh9iVnERae0hkTPo7enC8vqJl5Vy2jubvf75hFJpCq1B6vUxBk0/Wnlx8OIoEwsPjjI55mvGMtwfACVWFz6dxsbEUSY2HhzDxOPxYXgDGL7gUDE7sqAdWwj78qeD95ruqeFHzvE60+vuyfe6D62PHNqWL45tR2Oo8V8yQpwvZ4b9Npe6R1O11vScOZN5YRC84+fev2d4fO4SLD53m9IGWPf5s+870wt9xvKPwLybwc66nZdW2l1ySQhXDLfTDmbVIsJ2lrCdc9ueuY+dheq1UJ3v+MzEIdHNTW7AkG0FWgHYHCxl86avDT2s9cDHyWZi5NBkcMhik0W7txsvI1t/JTWlc1GdB+C5v2KOk0IbaapSv8Lz1CsAhHSasjlrGWwysO0spad3kU31k0WzbZ1GKxs6d5HDAF+EF7bUUtn0Pi6vrIed3yOdOsUvZ50k1FjLXbVgqhc57UnwUmQfW7dEcUxFUj0NOgOG4uCKBN6sxi76JR6fiUcZJOem8FRV8oXbrsJTVUhbsod/fuJp0nNzbFq1jM03LSRna/5i+xdJlbRj2A5O5X+iDBOFgRk6huGLoaJP46nchdYQ6O6kwGllReUy6hZX4ziarce+TdnATiLFTRiNUSxHcyD+HJX9L1DcE+fgctAFJWgUxYcP0Xj0MJnQXE7W9+I4ikA8xry9z5IqbuRUw0JsRzOoj9O0438pSMFjt3yatG2QpY/KV59kztFDbF+xliON81AYVLef5Ornn+SJGz+BdcXwpU3EaK+07wKgvnD00USlFHjkp+z5MPY3yMhL7ZwRWrmS0MqVo7YFFy8muHjxqG1GUREz/vZvIJcbtb307o/gJBL4Zs3CyI+Ui6xaSrS0gIX19fgb3TmoVk8PA/EizJJi3nfD8FHeziN/jd3Xx5YP/AFmxP3e6u3ZQby3mfXrP0DJ1esxDZPkTpPW/SVcNmMZN163hbSVI5XNUPHE3+FoTeXiO8k4FhkrR/2+pyk6doqdcxdTs2QjXhUh9NrL+F5+hqLGCgaWb8b2zmHlQIzZDz9Ply/G929vIqMtHO3wvl8cJ9qX4YGNM+ksCaDRrNh3kJVv9PHK/FL+u/luSnUTRbEuFm77PnZRLz9ecwWv2ivo7Y+w8JUf4bV28tTKIhx/IaCZ05KkojfLsdoAnVEvjj2Id8e3mXsyTm+hjz0V5SzLNmBoC+PkEXYFThCrLeX69Gz2vp4mvvVpOrLfJV5s4fe4108Ppm3CKYeMD5Iht2A9+f1PUJCysQ2TBZzmngG3r9exHL5fMIBhwq8nSzjQUcm2o6/TYj+OJ9dGc/xl3EwLJgqV2shnNq0i5Dv//xflf/ebsGyHn+1ye19uWlyFZ8y8yvbuY/TFuwgHC6ivXjH6x8oUNWPpWmaM2da07kaa1t04rq1zu0Mmk2CTypHMJUlaSVLVu8nE+qi9YhOUul8YBXPn0x1rI7qkGZZe7Z61bc927H0PoMu8BAuLSPtCOLaNZzANTo6OYP5oh7Yp67MoOpVlsLGAmmgJH1w9k2N923njteeJ19qsne32kFtJi8efOkjWr9h+awgr3II3dIArHjxMSUecF6606Y26befuz9F8wKK7yc+GWVU8Wf9lMrEsgUe+gh0cYN3cCDgKR2sOH+gm6zgcXxigL1jOntBa6lu7qertp6R4P6kiH5YyMRIQ6sqRCvkoLqnkVwU30+prpLRtK2XWCeoLM5jKj6NM0skEWcciHQqR8RWwM3w1HsvGa9nMyb2BYRqgTDyGl36KsJQfvwkZfynZQNQtdJ0MRU4/yvBiekxM0wumF2V6MEwvyvThGVUUDw9hGzk07WzbTMM9wZ7tuCehODNkbehxTDV0bTZHaxwHPKYi6DXRgKO1e1IEpTBNhaHcucpnhsZJ0T21XDvzWjyGh+pwNQD9ySz+WB/hYrkk1btmjHn/imrd5a0ES2DD/53Yc8y/1b1utp1151pZGbAzYFvjLgnhWfJBPNlBd0izlQFnRBE843KoWpVv6IeSBhbZWRYNtcmBnWGeDfOWf364h/ypP4eke61drTUWkMUhi8apXI6z5lOEvWH3pFdHnmKutvi4VhRa7ZhHHgYgom22LLyB3OJaLMfCOv4CVvcObK2xKtzHLBxIYqFxvEGsyzajSucSrJ8HP/oooVwcv+qiY4WHOvUTeOxBMEwKQw7Pf3QRGk0oHYPeFlAGr60GtdpAqyN4B44D0LGgnteXrOH31t6DefwXEDvJS3o72zYq/qiyimu8j4Nh8o3cbg5fFcaX8qOrWwlZuwBFfGaGgwGLwYojFAXaQCkC/jBta/x8+PKbuWtFCbr/JF8/9gL9TX0sDc3nq1eB9ls82LWH9s6j9DlJnNpdBEt3ozUY6SSDZV3csTZKYcCLGK8/3c/urj0oDDY0rIVsAuf0EVTZTFSo5GKHJ85CKeUOF/aNHiHgmzn+oIq/oQF/w+ii2BONnnXeccXv/s64bSX33E3Jh+9ynzefjwPNzdTf92corw9vpdtBqLUm9XsFYNusXTV8HdyE0YjVcZprLrsMb5U7kiZdkCTpez/r5s4lvHYt4B4l7t67FiMc5u673I5L27HpaP0rsq2tbNjyOXR1OZZjkfQ/Sq77GVatvJboTbcTMCNkjhylc3cBc0tq2bDxI1SGZmI7DslXvkd8sJDo/PeRCphkbYu6Ey9R1n6c8nlLaK2fieXYlB5pZemR12ifFeHk2lsguALLsml87k8otH08suo6ToVvptBxWPrz/0If6+bxa+s5WV2Lo21q2rq5Ykc7e+YU8dyKCkBTMJjhnkePMxj08MNb1vF3gTswcFj/xHdYFXuV/9lUxz+XfApbeWnY9jTLDjzEtgVhnmmuAg3lfRlu2NrF1k39jDkgf95IoXoOtqP59vPHONmbpDjk46qm8nFtjv70+2z65V6cLRswpkGR+nYZhkEwWEAQKA3khwVePX4oSdP622haf9uobbV1l1F70/AcJq01OSdHZk2MTDLOisIQGTtD2kqTnXuMXG8PRfMWQX7ORKSugcCma4lUlsLVt4OdRff1wMGvozwwZ0YtOV+InC9MqLgLI6MJlhcSLjKwtIXf14+HQXwFZcxafh33rl5Auq2Tp/4nTszrsGDBCpRjgWPR/vJz+NM2pwsV6cIs1cUnmHeglVnHeti9JMOJQgvQVA5Y1BzIEq82WTDDD/UFdBaUU/DTB7GtASqvj1KlfThas2//aejK8MJaH6eq/bR7TzD/eD9Xbe+ktS7LzmUGWkMwpbnl8QzJoKJkbQXHA5t5ObKeZc/dT9HACcKLDRoD7lkAT7UPMHg6SWu9h/Y6L3uDawgPatbtPIkv0EfbAiffv2Uwd3cS01IYzVVYgaU8W3ALZS2/orB3F1WlA1QUVLsFdSLBQFcbyYif7ppCjvvnMWiUMPdoCwVOjFStAgw0BqXdg4TSaRLRmXgCs9gTWoM/0Yl/YD+VRheh/GUCtG3jxFrRHg+paDG9vmrivioK4gOErQTBQALbDOAoE2/WxuOA7Y/gC0aJ+ysxNRjWAGE9QMgfRBkmhmGgHds9WmJ40d4AljfiXuBcO/h1BsMf4oZFNUTPca3j9zKf6eO6uuuGbne3dbL50W/T4DkOVTfCtX/sHlUUU5Mvf7KniRh7xuRzqVoMN3717PvG/uK4/LPuUWE7h3IsvPkl7FjuEOtQ+fD9Vn+CYsei2Mm5xbJjg50j4lhsmL0RCt3OElQReMvzbfKLnXPbB4pgxW8NP39RLRWpfu6zS/NxWKAdsB2+1vgRWHArjnawj/2K3IvfxNYaG7f41VrjWLgdbGv/ENNXgBkugM590LGXT2sTuzhIKLMXju4D4KbKJgY2342lLZxED862f3QfK6yxwh4cLOzBQWw0zryrsRdXUzhnI+z6b9QbP2O+E6NjgUOZ0UrB6/8MwCyfQd/Gq+jTDqXaofjAozhODjusObIRbq4vxue59H5HnA9tvRDN3YrH38+Vs2uhYxd9f/kF0n0+Sr/4dYKLJ/n6z2JKOdtRdSMYxFdbO65daMWKcfcPX37ZuG2B5mYCzc2jtpnFxVT+8RdHbzNMav5o9DYA/f570LfeiTLNofm94aYGiv7sK+Dx4K2sHGqb/q3PozMZ1i1aNDQnOV2yilx7O1fPn4+32s2ZuUXtJGtfxVtZQWi1W2hry6KvxT3ifNttdw89ZiyzhuyJKm65dQu+ujoAkjt2EPc/weYVK7jv+k1Y2iLX20N3y1+jCgu488O/Q8gTwnY0p9ufZrDFYsnGj1M9ezm2o0k81EF/Vx2z5q/jpitWknNs1PGTlL36AMs3LLpgnd5SqJ7FQDrHvz53lH2nBgh4TT67vvGsXyA9bYfx5hxqkydh+7+7Zw+TM32dlVIKn+nDV1ROQdGYor+0eVz78nnLuG7e6LPgecvhpr88y6V/8peSvSV/U2tN7uY0uUzKvRhY2B3S563xsvjPv4FlKlTTqqG71xU/TDoZ4675DVgmWI6FMo+h5p9mzexqFpeHsJ0cqq0Tf+AQVdEwNbd/hppwOdrw8+zKhSSSvTTddC9lnhA4OU6lvkvMf4KamZWEqkLMLqyhbLCNcDRNpAwqyiNYjo0vnsXjOY3XazBv/jKumL2CX6tdzOs7INNnE6mqobG0HG1bDPQcQQ8mcLRiIASlpYOU2Flm93YSK8zRFRz+jK7qSOLNatTiODOiDqqhHHXwJKGjB8gEFYuK3eE4HalBug52015j0lbvI+5PkVFhVu08hKkzPFQ/nHgajmSo6nToXHWMRaUNtJZdSfT4GzRuf4D4TIs1DVE0YCctWrd1kAwqfr7ZT59VTkxHufOZFipiSZ69xiFW5Ma6aF+O5oM2rc0+1lWX86/lXyLQ18fqp77KYHGWVUuGPysnt7ajsw4P3einL1hIp7eW9Ts6mXcixsHFGXrqf4ur536I6Jt+Et9bulPdJHNJ6grrRm3v7ezD8Dt4/cr94S9Fqhhp7IiIic5f9oWhaePE2jZc5S4Tsfkro29r7Ra0enjYtaEMjJmX4S1vdvcNFb/ZfFsHihqGj4AvugPmbGKuzu8700Y7zItUQPVSt10mDtl8wa21+5wj2zddP1x8l86Ghmu4WQ8/1pn7XRMo4poVnxx+DQMpd/TRmccMSuY6G8t2eGhXO2HquHX+5e7ItsEurEELxw7iKS976wcRYpIpj2fcibAMnw9jxtgxjRCYP37KYGD+/HHbvdXVFN1y87jnKb3nbsYq2rJl3Laxw7a9you3rIq6vxjdYekxFbVf+uNxfCzxUgAAETZJREFU9y+98w5m3nE7GMbQa9OzLezV12MWF1+wkXRSqI6Qsx1eONzNT15tI5GxKAh4+M3r5tBYPn7+VtbO8tRVRXiXNXFfrAeOPAXLx39YxORTSuHzB/Hlzx55hhkIMHPe6nHt5115y7ht1F49ftt8YMxvMAVc++Vvjmt61RfPcv91wKfGb3busbGtLB5fAKUUEeDy++4nnRkkXFpJMOB+/paub6W/6yQLCyPooog7BC+ZwFnQgvYoVs4sRzsWtp2DygM4mTS1a66gvHgmyyLlnPTezqnFdZTUVdDQsBC0TeHJY+SizxApCTJjXiVO0Qwcw09h10voVD83N5XjaBvHsSnsP4WvKs3iZXNZM3c1ly1aStu2PnZbeyguhyVXXA1akx5IcOr0g/gCBgurqnDCleSCUaIHLXxdfcyM+igtMHC0Q1FxHFWUoKSkkMamBfzh2gWk29p549UQVsTDzIZmtLbBcWh/pRvbsfAFAhRFggTCQUoDHiKGwvB6uG5BDSVhKbjOSOaS3L/jfrJ2lt9e8dvUFgz3LncWlJG8poGQmXKvYyfEdKLyl5gY+xPGGwBv1VnvMk7lgom18xfAwl+bWNtZ6970OuqjXDf+rP5itLaB0/zby69yvKOcopCX9fPyc7wHO6i8vgZr1s2YI45MCSEuHGUY44ZyK48HT8mFHX5/QQtVpdQNwN8AJvAtrfVXx+z3A98FVgI9wIe01scvZExnOI6mP5WjN5GhYyDD4c5BXmvpI552r1k1r7qAe6+cTek5fvgejR3F1jY1fi8Rj9c9iZIp80vE22eYJoY5uqiORCuJMPoLuKiylqLKMXPfioGa0ScxAKBufKE8c9U1zFw1+nq90RkrueryO8bfv/l947dtGL9pxmXXMuOya0dtCwC3bPit8Y2vcP/cNn7PkAKA6nKav/fUuH03ulNQuFlrNBpHOzibc2jHZpMCvz90SQ7Bn6h4Nk5LvIUFpQvcIU7eELUFtaRyKcqCo4869Pf3siCzB3+xd+I/rIUQ4gJytEM663C0O8GethjfPfQN4rluytVavrT+o8NzeBOdAHhmNE65S2kIIc6vC1aoKqVM4O+BTbinJ3xFKfWQ1nrfiGb3An1a6zlKqTuB/wd86HzFcOB0nG27dmJ1HiJlehj0B8jmbLLZHLq7D0dDS3R4zmVN/3EW+i3WLZvPZY0FqOQx4qe66e/pIFQxi+hs95B5Nt7D3hd/CE4/cwf7gTDM3Xy+whZCvAmlFArlFqX+S3dQyEA6x4GDL9NxahfZgEkm5MPSFnY2jeqLkcKit6yIpJVgMBeH060YlsP7l/46DcXu9UU3OIvwWzbdR0+gy9yTWOhEjNJdP8Z0cjhVK0dfhkUIIc6D9liKN/a9SH/XQdJBLxm/l6ydw85mMPrjZAxFV2mUgcwgidwg/tMtxDI9RP1bCBjuUPPqdIi5Rhmfuu6aoZFtTn839okjeJRGRSreLAQhxCXgQv7KWwMc1lofBVBK/QD3YMrIQvU24L78+gPAN5VSSo+9mNM7dHogTfcz/86cnS9zbJbJnuVub1wgrdnyRIZMQLH9AyvweQxCXpNlT79GcU8WJ1eNOuYeyt7/+mm69vTC5XO56cs/BqB977ME//EBLi83ab68BuYugxkrzxmHEEK8XVsP93Dwu39H/d49HJlj8voiN39FBh1ufDKLp8DgezcNX7f5Mz/fS1ncpqvlLwj73CP0xsFBsi1JDi9azc+WfgKAhW1buf6ZB9FFXtTGKyf/hQkhLnkvHunh9A/+ltqDhzkx38O+ZvfnZmmfw4Zns/SUeHjg+uGTIH3+0dcJZBxy13Sy2B+hIOBB7x/AaklSWlQF8922mW1P0P3D7firgpTdGOG9O4ZGiPeGC1mozgBOjrjdCow9tdZQG621pZSKAVGge2QjpdQngU8C1NXVMVFNFRFi9TNwWoKEiwM0RMIYysDnczDK+/D6Da6ZPXxE1VtyFIckweIaiM4ApfBFNU40Q6h4eOicN1SEEw0TLQzS1HgFrP74hGMSQry3vNP8VRDwECmswiw8RlUgiFcXYqIIYBMq6CEQ8rOs4IN4VRCvCtEY/ioB4mT8tWRCblHrKejBU+zFLI4yo8QtXgsSxdjFRThVVUSXrT//L1gIccl4p/mruihIurQKo7id6mAInzeCF0U4YBMq6cUsDnNjwxaK/QWUBAtp3vrnFGRt6poW4gm4P01jXW2k0n0YhcNz4FSkEG9FKZ6GRlSxzE8V4lKnztPBy/EPrNQHgM1a64/nb98DrNFaf35Em735Nq3520fybXrO9birVq3S27dvvyAxCyHeW5RSO7TWq9665fkh+UsIcb5I/hJCTFcTzV8XctREKzDyyr61wKlztVFKeYAioPcCxiSEEEIIIYQQYoq7kIXqK0CTUqpBKeUD7gQeGtPmIeCj+fU7gKfO1/xUIYQQQgghhBDT0wWbo5qfc/qbwC9wL0/zb1rrvUqpPwW2a60fAr4N/KdS6jDukdQ7L1Q8QgghhBBCCCGmhwt6bQet9SPAI2O2/d8R62ngAxcyBiGEEEIIIYQQ04uc2VsIIYQQQgghxJQihaoQQgghhBBCiCnlgl2e5kJRSnUBJy52HHlljLnm6zQhcU+e6RgzTM+430nMs7TW5RcimLOR/HVeTMe4p2PMIHFPJslfb890/DeG6Rn3dIwZJO7JdMHy17QrVKcSpdT2ybyG2fkicU+e6RgzTM+4p2PMF9N0fb+mY9zTMWaQuCfTdIz5Ypqu79d0jHs6xgwS92S6kDHL0F8hhBBCCCGEEFOKFKpCCCGEEEIIIaYUKVTfnX+52AG8QxL35JmOMcP0jHs6xnwxTdf3azrGPR1jBol7Mk3HmC+m6fp+Tce4p2PMIHFPpgsWs8xRFUIIIYQQQggxpcgRVSGEEEIIIYQQU4oUqkIIIYQQQgghphQpVCdAKXWDUuqAUuqwUuqLZ9nvV0r9ML9/m1KqfvKjHG8CcX9BKbVPKfW6UuqXSqlZFyPOMTG9acwj2t2hlNJKqSlxCu+JxK2U+mD+/d6rlPr+ZMd4lnje6vNRp5R6Win1Wv4zctPFiHNMTP+mlOpUSu05x36llPrb/Gt6XSm1YrJjnGokf00eyV+TR/LXe4Pkr8kj+WvySP56G7TWsrzJApjAEWA24AN2AQvGtPks8E/59TuBH06TuNcDofz6Zy523BOJOd+uAHgOeAlYNU3e6ybgNaAkf7tiGsT8L8Bn8usLgONT4L2+GlgB7DnH/puARwEFXA5su9gxT4N/Z8lfkxRzvp3kr8mJWfLXNF8kf02tmPPtJH9NTsySv/KLHFF9a2uAw1rro1rrLPAD4LYxbW4DvpNffwDYoJRSkxjj2bxl3Frrp7XWyfzNl4DaSY5xrIm81wB/BvwlkJ7M4N7EROL+BPD3Wus+AK115yTHONZEYtZAYX69CDg1ifGdldb6OaD3TZrcBnxXu14CipVS1ZMT3ZQk+WvySP6aPJK/3hskf00eyV+TR/LX2yCF6lubAZwccbs1v+2sbbTWFhADopMS3blNJO6R7sXtCbmY3jJmpdRyYKbW+uHJDOwtTOS9ngvMVUq9oJR6SSl1w6RFd3YTifk+4G6lVCvwCPD5yQntXXm7n/tLneSvySP5a/JI/npvkPw1eSR/TR7JX2+D590+wHvA2Xrmxl7TZyJtJtuEY1JK3Q2sAq65oBG9tTeNWSllAPcDH5usgCZoIu+1B3f4ybW4Pae/Ukot0lr3X+DYzmUiMd8F/IfW+utKqbXAf+Zjdi58eO/YVPy/eDFJ/po8kr8mj+Sv9wbJX5NH8tfkkfz1NsgR1bfWCswccbuW8Yfgh9oopTy4h+nf7PD4ZJhI3CilNgJ/Atyqtc5MUmzn8lYxFwCLgGeUUsdxx8A/NAUm9E/0M/JTrXVOa30MOICbOC+WicR8L/AjAK31i0AAKJuU6N65CX3u30Mkf00eyV+TR/LXe4Pkr8kj+WvySP56O87HRNdLecHtiTkKNDA86XnhmDafY/Rk/h9Nk7iX407obrrY8U405jHtn2FqTOafyHt9A/Cd/HoZ7vCI6BSP+VHgY/n1+fmEo6bA+13PuSfz38zoyfwvX+x4L/J7JflrCsU8pr3krwsbs+Svab5I/ppaMY9pL/nrwsYs+evM417sFz0dFtwzWR3MJ5U/yW/7U9xeMHB7Ov4HOAy8DMy+2DFPMO4ngQ5gZ355aKrHPKbtlEiUE3yvFfANYB+wG7hzGsS8AHghn0R3AtdPgZj/G2gHcri9d/cCnwY+PeJ9/vv8a9o9VT4fU/zfWfLXJMU8pq3krwsbs+SvS2CR/DV1Yh7TVvLXhY1Z8ld+UfkHF0IIIYQQQgghpgSZoyqEEEIIIYQQYkqRQlUIIYQQQgghxJQihaoQQgghhBBCiClFClUhhBBCCCGEEFOKFKpCCCGEEEIIIaYUKVSFEEIIIYQQQkwpUqgKIYQQQgghhJhSpFAV75hSqlgp9dkRt7dehBhqlVIfmuznHfH89UqplFJq55u0CSqldiqlskqpssmMTwhxdpK/JH8JMV1J/pL89V4hhap4N4qBoUSptV53EWLYAKy4CM870hGt9bJz7dRap/L7T01iTEKINyf5yyX5S4jpR/KXS/LXJU4KVfFufBVozPdW/ZVSahCGern2K6W+pZTao5T6nlJqo1LqBaXUIaXUmjMPoJS6Wyn1cv4x/lkpZU70yZVSVwLfAO7I37/hvL/Ct0kpFVZK/VwptSv/2i9ab6MQ4k1J/hofk+QvIaYHyV/jY5L8dQmSQlW8G18k35ultf6DMfvmAH8DLAHmAR8GrgR+H/gSgFJqPvAh4Ip8j5cNfGSiT661fh54BbgtH8Oxd/l6zocbgFNa66Va60XAYxc7ICHEWUn+Gk/ylxDTg+Sv8SR/XYKkUBUXyjGt9W6ttQPsBX6ptdbAbqA+32YDsBJ4JT/HYAMw+20+TzNw4MwNpdS33m3g79JuYKNS6v8ppa7SWscucjxCiLdP8pfkLyGmK8lfkr8uGZ6LHYC4ZGVGrDsjbjsMf+4U8B2t9R+f60GUUp8DPpG/eZPW+tSIfVEgprXO5W8HgXlKqftwexF/A/gK4Af6tNZfVkotBjZrrb+mlPoH3OEz3wEeAi7XWn9IKeUB/hLQQAtQCYQAn9Z6aE7I2WitDyqlVgI3AX+hlHpca/2nb3YfIcSUI/lL8pcQ05XkL8lflww5oirejThQ8C7u/0vc+Q0VAEqpUqXUrJENtNZ/nx9WsmxkksxrYPQE+eXAA1rr+4AY8Hng+1rrz+EmzjNtduXXQ8Bi4EGt9f2Ald/+GeCnWuvfy28LAv1A5K1ekFKqBkhqrf8L+BoX/0QDQoizk/w1huQvIaYNyV9jSP66NMkRVfGOaa178hP09wCPvoP771NKfRl4XCllADngc8CJCT7EfqAs//yfBNYAr+f3hYCFwN8opXxAMr99MfALpVQhbo/dUuAnZ0LK/10B/GN+fTnwOa31yB7KN7MY+CullJN/PZ+Z4P2EEJNI8tdZSf4SYhqQ/HVWkr8uQcodti7E9KeU+legB/e07T8AwsAHcZPk32qt31BK3Yvbu2fh9tI1Ax8HSoEvaq1/Xyl1G3Ar0AvswZ2gfxJ4Smv92JjnrAcezk/cf6v4jgOrtNbd7/rFCiEuKZK/hBDTleQvcaFIoSrEu6CUmglsBXrOdS2v/NyNF4FyYLHWuncSQxRCiLOS/CWEmK4kf703SKEqhBBCCCGEEGJKkZMpCSGEEEIIIYSYUqRQFUIIIYQQQggxpUihKoQQQgghhBBiSpFCVQghhBBCCCHElCKFqhBCCCGEEEKIKUUKVSGEEEIIIYQQU4oUqkIIIYQQQgghppT/H3q7do2KUmlKAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(13,3.5), sharex=True, sharey=True)\n", "\n", "ax1, ax2, ax3 = axes\n", "t = np.linspace(-0.1, 1, 201) * u.s\n", "\n", "#UNMIXED\n", "\n", "for ls, flavor in zip([\"-\", \"--\", \"-.\", \":\"], Flavor):\n", " flux = ccsn.get_flux(t, flavor)\n", " \n", " ax1.plot(t, flux, ls, lw=2, label=flavor.to_tex(), alpha=0.7)\n", " ax1.set_title(\"Unmixed\")\n", "# plt.yscale('log')\n", "# plt.ylim(3e51, 5e53)\n", "ax1.set(xlabel='time - $t_{bounce}$ [s]',\n", " ylabel='flux')\n", "ax1.legend()\n", "\n", "#NORMAL MIXING\n", "\n", "nu_list1 = []\n", "i = 0\n", "for flavor in Flavor:\n", " flux = ccsn.get_flux(t, flavor)\n", " nu_list1.append(flux)\n", " \n", "'''Components of nu_list1\n", " ---------------------- \n", " nu_list1[0]: initial flux of nu_e \n", " nu_list1[1]: initial flux of nu_e_bar\n", " nu_list1[2]: initial flux of nu_x\n", " nu_list1[3]: initial flux of nu_x_bar\n", "'''\n", "\n", "nu_e1 = [a + b for a, b in zip(nu_list1[2], nu_list1[3])] \n", "nu_x1 = [(a + b + c)/2 for a, b, c in zip(nu_list1[0], nu_list1[2], nu_list1[3])]\n", "nu_e_bar1 = [a*c2t12 + (b+c)*s2t12 for a, b, c in zip(nu_list1[1], nu_list1[2], nu_list1[3])]\n", "nu_x_bar1 = [((1.0-c2t12)*a + (1.0+c2t12)*(b+c))/2 for a, b, c in zip(nu_list1[1], nu_list1[2], nu_list1[3])]\n", "nu_new1 = [nu_e1, nu_e_bar1, nu_x1, nu_x_bar1]\n", "\n", "for ls, i, flavor in zip([\"-\", \"--\", \"-.\", \":\"], range(len(nu_new1)), Flavor):\n", " new_flux1 = nu_new1[i]\n", " ax2.plot(t, new_flux1, ls, lw=2, alpha=0.7, label=flavor.to_tex())\n", " ax2.set_title(label=\"Normal Mixing\")\n", "\n", "# plt.yscale('log')\n", "# plt.ylim(3e51, 5e53)\n", "\n", "ax2.set(xlabel='time - $t_{bounce}$ [s]',\n", " ylabel='flux')\n", "\n", "ax2.legend()\n", "\n", "#INVERTED MIXING\n", "\n", "nu_list2 = []\n", "i = 0\n", "for flavor in Flavor:\n", " flux = ccsn.get_flux(t, flavor)\n", " nu_list2.append(flux)\n", "\n", "'''Components of nu_list2\n", " ---------------------- \n", " nu_list2[0]: initial flux of nu_e \n", " nu_list2[1]: initial flux of nu_e_bar\n", " nu_list2[2]: initial flux of nu_x\n", " nu_list2[3]: initial flux of nu_x_bar\n", "''' \n", " \n", "nu_e2 = [a*s2t12 + (b + c)*c2t12 for a, b, c in zip(nu_list2[0], nu_list2[2], nu_list2[3])] \n", "nu_x2 = [((1.0-s2t12)*a + (1.0+s2t12)*(b+c))/2 for a, b, c in zip(nu_list2[0], nu_list2[2], nu_list2[3])] \n", "nu_e_bar2 = [a + b for a, b in zip(nu_list2[2], nu_list2[3])]\n", "nu_x_bar2 = [(a + b + c)/2 for a, b, c in zip(nu_list2[1], nu_list2[2], nu_list2[3])]\n", "nu_new2 = [nu_e2, nu_e_bar2, nu_x2, nu_x_bar2]\n", "\n", "for ls, i, flavor in zip([\"-\", \"--\", \"-.\", \":\"], range(len(nu_new2)), Flavor):\n", " new_flux2 = nu_new2[i]\n", " ax3.plot(t, new_flux2, ls, lw=2, alpha=0.7, label=flavor.to_tex())\n", " ax3.set_title(label=\"Inverted Mixing\")\n", "\n", "# plt.yscale('log')\n", "# plt.ylim(3e51, 5e53)\n", "\n", "ax3.set(xlabel='time - $t_{bounce}$ [s]',\n", " ylabel='flux')\n", "ax3.legend()\n", "\n", "\n", "fig.tight_layout()\n", "# print(nu_e2[200], nu_x2[200])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mixing with Gaussian error" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [], "source": [ "s2t12_er = c2t12_er = 0.013 #symmetrical error assumed" ] }, { "cell_type": "code", "execution_count": 205, "metadata": {}, "outputs": [], "source": [ "def errors(nulist):\n", " '''Calculates the upper and lower edge of the 1sigma, 2sigma, and 3sigma uncertainty intervals\n", " Parameter\n", " ---------\n", " nulist: ndarray\n", " list of neutrino fluxes after mixing, with random samples of the mixing angle\n", " \n", " Returns\n", " -------\n", " std: ndarray\n", " standard deviation of neutrino fluxes at each time bin\n", " mean: ndarray\n", " mean of neutrino fluxes at each time bin\n", " sig1_lo, sig1_hi: ndarray\n", " lower and upper ends of the 1sigma interval\n", " sig2_lo, sig2_hi: ndarray\n", " lower and upper ends of the 2sigma interval\n", " sig3_lo, sig3_hi: ndarray\n", " lower and upper ends of the 3sigma interval'''\n", " \n", " \n", " std, mean, sig1_lo, sig1_hi, sig2_lo, sig2_hi, sig3_lo, sig3_hi = [], [], [], [], [], [], [], []\n", " for i in range(len(nulist)):\n", " s3l, s2l, s1l, s1h, s2h, s3h = np.percentile(nulist[i], [0.05, 2.5, 16, 84, 97.5, 99.5])\n", " sig3_lo.append(s3l)\n", " sig2_lo.append(s2l)\n", " sig1_lo.append(s1l)\n", " sig1_hi.append(s1h)\n", " sig2_hi.append(s2h)\n", " sig3_hi.append(s3h)\n", " std.append(np.std(nulist[i]))\n", " mean.append(np.mean(nulist[i]))\n", " std = np.asarray(std)\n", " mean = np.asarray(mean)\n", " return std, mean, sig1_lo, sig1_hi, sig2_lo, sig2_hi, sig3_lo, sig3_hi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inverted Mixing" ] }, { "cell_type": "code", "execution_count": 206, "metadata": {}, "outputs": [ { "data": { 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig1, ax = plt.subplots(1, 1, figsize=(15,5), sharex = True, sharey = True)\n", "t = np.linspace(-0.1, 4, 201) * u.s\n", "\n", "s2t12_val = np.random.normal(loc = s2t12, scale = s2t12_er, size = 1000)\n", "c2t12_val = 1 - s2t12_val\n", "\n", "nu_e2_er = [a*s2t12_val + (b + c)*c2t12_val for a, b, c in zip(nu_list2[0], nu_list2[2], nu_list2[3])] \n", "std_e, mean_e, sig1_lo_e, sig1_hi_e, sig2_lo_e, sig2_hi_e, sig3_lo_e, sig3_hi_e = errors(nu_e2_er)\n", "\n", "ax.fill_between(t, sig1_lo_e, sig1_hi_e, color='g', alpha=0.3, label = r'$1\\sigma_{e}$')\n", "ax.fill_between(t, sig2_lo_e, sig2_hi_e, color = 'g', alpha = 0.2, label = '$2\\sigma_e$')\n", "ax.fill_between(t, sig3_lo_e, sig3_hi_e, color='g', alpha = 0.1, label = '$3\\sigma_e$')\n", "ax.plot(t, mean_e, 'darkgreen', label=r'Mean $\\nu_e$')\n", " \n", "nu_x2_er = [((1.0-s2t12_val)*a + (1.0+s2t12_val)*(b+c))/2 for a, b, c in zip(nu_list2[0], nu_list2[2], nu_list2[3])] \n", "std_x, mean_x, sig1_lo_x, sig1_hi_x, sig2_lo_x, sig2_hi_x, sig3_lo_x, sig3_hi_x = errors(nu_x2_er)\n", "ax.fill_between(t, sig1_lo_x, sig1_hi_x, color='orange', alpha=0.3, label=r'$1\\sigma_x$')\n", "ax.fill_between(t, sig2_lo_x, sig2_hi_x, color = 'orange', alpha = 0.2, label = r'$2\\sigma_x$')\n", "ax.fill_between(t, sig3_lo_x, sig3_hi_x, color='orange', alpha = 0.1, label = r'$3\\sigma_x$')\n", "ax.plot(t, mean_x, 'r', label=r'Mean $\\nu_x$')\n", "\n", "\n", "ax.set(xlabel='time - $t_{bounce}$ [s]',\n", " xlim = (0.25, 0.4),\n", " ylabel='flux',#, yscale ='log',\n", " ylim=(1.5e55, 3.4e55),\n", " title = r'$\\theta_{12}$ dependent flavor oscillations: Inverted Mixing')\n", "ax.legend()\n", "\n", "fig.tight_layout()\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Normal Mixing " ] }, { "cell_type": "code", "execution_count": 207, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig1, ax = plt.subplots(1, 1, figsize=(15,5), sharex = True, sharey = True)\n", "t = np.linspace(-0.1, 4, 201) * u.s\n", "\n", "s2t12_val = np.random.normal(loc = s2t12, scale = s2t12_er, size = 1000)\n", "c2t12_val = 1 - s2t12_val\n", "nu_ebar_er = [a*c2t12_val + (b+c)*s2t12_val for a, b, c in zip(nu_list1[1], nu_list1[2], nu_list1[3])]\n", "std_e, mean_e, sig1_lo_e, sig1_hi_e, sig2_lo_e, sig2_hi_e, sig3_lo_e, sig3_hi_e = errors(nu_ebar_er)\n", "\n", "ax.fill_between(t, sig1_lo_e, sig1_hi_e, color='g', alpha=0.3, label = '$1\\sigma_e$')\n", "ax.fill_between(t, sig2_lo_e, sig2_hi_e, color = 'g', alpha = 0.2, label = '$2\\sigma_e$')\n", "ax.fill_between(t, sig3_lo_e, sig3_hi_e, color='g', alpha = 0.1, label = '$3\\sigma_e$')\n", "ax.plot(t, mean_e, color='darkgreen', label=r'Mean $\\overline{\\nu}_e$')\n", "\n", "nu_xbar_er = [((1.0-c2t12_val)*a + (1.0+c2t12_val)*(b+c))/2 for a, b, c in zip(nu_list1[1], nu_list1[2], nu_list1[3])]\n", "std_x, mean_x, sig1_lo_x, sig1_hi_x, sig2_lo_x, sig2_hi_x, sig3_lo_x, sig3_hi_x = errors(nu_xbar_er)\n", "ax.fill_between(t, sig1_lo_x, sig1_hi_x, color='orange', alpha=0.3, label=r'$1\\sigma_x$')\n", "ax.fill_between(t, sig2_lo_x, sig2_hi_x, color = 'orange', alpha = 0.2, label = r'$2\\sigma_x$')\n", "ax.fill_between(t, sig3_lo_x, sig3_hi_x, color='orange', alpha = 0.1, label = r'$3\\sigma_x$')\n", "ax.plot(t, mean_x, 'r-', label=r'Mean $\\overline{\\nu}_x$')\n", "\n", "ax.set(xlabel='time - $t_{bounce}$ [s]',\n", " xlim = (0.3, 0.6),\n", " ylabel='flux',\n", " ylim=(0.8e55, 1.45e55),\n", " title = r'$\\theta_{12}$ dependent flavor oscillations: Normal Mixing')\n", "ax.legend()\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 2 }