From b99a77c13088031d8b0309472642e3a3f3b7237f Mon Sep 17 00:00:00 2001 From: Rui Gong Date: Sun, 27 Oct 2024 09:31:41 -0500 Subject: [PATCH] SageMath Kernel --- book/tccs/group/group.ipynb | 769 +++++++++++++++++++++++++++++++++--- 1 file changed, 708 insertions(+), 61 deletions(-) diff --git a/book/tccs/group/group.ipynb b/book/tccs/group/group.ipynb index 04a050db7..4ab057504 100644 --- a/book/tccs/group/group.ipynb +++ b/book/tccs/group/group.ipynb @@ -59,7 +59,7 @@ "source": [ "Anellipticity (deviation from ellipse) is an important characteristic of\n", "elastic wave propagation. One of the simplest and yet practically important\n", - "cases \\new{of anellipticity occurs} in transversally isotropic media with\n", + "cases of anellipticity occurs in transversally isotropic media with\n", "the vertical axis of symmetry (VTI). In this type of media, the phase\n", "velocities of $qSH$ waves and the corresponding wavefronts are elliptic, while\n", "the phase and group velocities of $qP$ and $qSV$ waves may exhibit strong\n", @@ -68,7 +68,6 @@ "The exact expressions for the phase velocities of $qP$ and $qSV$ waves in VTI\n", "media involve four independent parameters. However, it has been observed that\n", "only three parameters influence wave propagation \n", - "% at small angles from the vertical axis \n", "and are of interest to surface seismic methods ([Alkhalifah and Tsvankin 1995][Alkhalifah1995]). Moreover, the exact expressions for the group\n", "velocities in terms of the group angle are difficult to obtain and too\n", "cumbersome for practical use. This explains the need for developing practical\n", @@ -316,16 +315,153 @@ ] }, { - "attachments": { - "exph.png": { - "image/png": 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+ "cell_type": "code", + "execution_count": 4, + "id": "f1a81747", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } - }, - "cell_type": "markdown", - "id": "f0da5341", + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Material parameters (km^2/s^2)\n", + "a = 14.47\n", + "l = 2.28\n", + "c = 9.57\n", + "f = 4.51\n", + "\n", + "# Function to compute qP wave phase velocity\n", + "def velocity_qP(theta):\n", + " term1 = 0.5 * ((a + l) * np.sin(theta)**2 + (c + l) * np.cos(theta)**2)\n", + " term2 = 0.5 * np.sqrt(((a - l) * np.sin(theta)**2 - (c - l) * np.cos(theta)**2)**2 + 4 * (f + l)**2 * np.sin(theta)**2 * np.cos(theta)**2)\n", + " return np.sqrt(term1 + term2)\n", + "\n", + "# Function to compute qSV wave phase velocity\n", + "def velocity_qSV(theta):\n", + " term1 = 0.5 * ((a + l) * np.sin(theta)**2 + (c + l) * np.cos(theta)**2)\n", + " term2 = 0.5 * np.sqrt(((a - l) * np.sin(theta)**2 - (c - l) * np.cos(theta)**2)**2 + 4 * (f + l)**2 * np.sin(theta)**2 * np.cos(theta)**2)\n", + " return np.sqrt(term1 - term2)\n", + "\n", + "# Create an array of angles from 0 to 360 degrees\n", + "theta = np.linspace(0, 2 * np.pi, 500)\n", + "\n", + "# Calculate phase velocities for qP and qSV waves\n", + "v_qP = velocity_qP(theta)\n", + "v_qSV = velocity_qSV(theta)\n", + "\n", + "# Convert polar coordinates to Cartesian, but swap x and y to match paper's figure\n", + "x_qP = v_qP * np.sin(theta) # Swapping cos and sin\n", + "y_qP = v_qP * np.cos(theta)\n", + "\n", + "x_qSV = v_qSV * np.sin(theta)\n", + "y_qSV = v_qSV * np.cos(theta)\n", + "\n", + "# Cartesian plot for phase velocity profiles\n", + "plt.figure(figsize=(6, 6))\n", + "plt.plot(x_qP, y_qP, label='qP Wave', color='blue')\n", + "plt.plot(x_qSV, y_qSV, label='qSV Wave', color='green')\n", + "\n", + "# Set axis limits and labels\n", + "plt.xlim(-4, 4)\n", + "plt.ylim(-4, 4)\n", + "plt.xlabel('Horizontal velocity (km/s)', fontsize=12)\n", + "plt.ylabel('Vertical velocity (km/s)', fontsize=12)\n", + "\n", + "# Add black axes\n", + "plt.axhline(0, color='black', lw=1)\n", + "plt.axvline(0, color='black', lw=1)\n", + "\n", + "# Set aspect ratio to be equal\n", + "plt.gca().set_aspect('equal', adjustable='box')\n", + "\n", + "# Show the plot\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "bbadac0b", + "metadata": {}, + "outputs": [], + "source": [ + "from sage.all import *" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "b4132fba", "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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J9evDSy/BiBFqBtTo0TIDSghheeHhakHOP/8EDw81tm/IELhwQe/IhLEkuRE25exZ6NtXrfkUGqrG2Xzyiao6KoQQ1tSypUpwvvpKTWSoVQs+/ljq49gDSW6ETcjJUf3cdeqoKZo//aRmMtSrp3dkQghn5uKiuqeOHlVFQcePV7M1N27UOzJxK5LcCN1t3w7Nm6uBfCNGqMrCAwbIuBohhO0IClLj/nbuVGNzOnRQ71fx8XpHJooiyY3QTWIijBmjmn5dXFSS8+mnanVfIYSwRU2awJYtaomXRYtUa/O8eVLl2NZIciOsTtNUt1Pt2vDdd6o76q+/1KwEIYSwdS4uqojo4cOqBWfQIOjVC2Ji9I5M5JPkRlhVXBzcc49aubtVK/XmMG4cuLnpHZkQQhRP+fLqi9qSJbBvH0RGqgkQUhtHf5Lc/EPWlrIsTVNTK+vVU33WixfDwoVqRpQQQtiz3r3h0CFVbPSZZ6B1a7UsjNCPJDf/kLWlLOfSJejfHx58ELp3h4MHVSE+IYRwFKVKweefw+bNkJCgZlR98gnk5ekdmXOS5EZY1IIFULeumjb5889qLagyZfSOSgghLKN1a9izB0aOVF3uXbrAmTN6R+V8JLkRFhEfD4MHqxabdu1Ua03//npHJYQQlufjo1pt1q6FU6egQQP4+muZUWVNktwIs1u1SrXWrFwJP/ygWm+Cg/WOSgghrKtzZ9i/X32xe/RRNTZHlnCwDkluhNlkZsKECdCzJzRqpFprHnxQivEJIZxXQIBaXXzJElXLq2FD9cVPWJYkN8Isjh1Tfc2ffQYffaRW8a5YUe+ohBDCNvTuDQcOqCKAd92lvghmZuodleOS5EaU2HffqQs2JQW2bVOD6FzklSWEEIUEB6svfh9+qL4Itm6txuQI83Ooj6ApU6bQvHlz/P39CQ4Opm/fvhw9elTvsBxWerpaUG7oULUW1K5dKskRQghRNBcXVQtn2za1BE2TJrB0qd5ROR6HSm42bNjAmDFj2LZtG2vWrCEnJ4du3bqRmpqqd2gO5+RJ9a1jzhyYPRu++UYtJieEEOL2mjRRBU07dVJ1v158EXJy9I7KcRg0rWST0y5dukR0dDSXL18mPT2dsmXLUq5cOWrVqoWrq6u54jTJ5cuXCQ4OZsOGDbRv396oxyQlJREQEEBiYiKlZAXHIi1ZolprypVTM6EaNNA7IiGKJtezsHWaBu+/Dy+9BG3bqkU4y5fXOyrbZew1bdKKPmvWrGH+/Pls3LiRkydPFrmPj48PLVu2pHv37gwZMoSQkBBTTlUiiYmJAAQFBd10n8zMTDKvG9WVlJRk8bjsVW4uvPIKvPMO9O2rWmwCAvSOSggh7JfBAM89B3fcodbca9wY5s8HI7+Pi5swuuUmIyODzz77jGnTphEdHU3+w7y9vQkODiYoKAhvb2/i4+OJj4/n0qVL6gQGA25ubvTq1YuXX36Zpk2bWu7ZXEfTNPr06cO1a9fYtGnTTfebNGkSkydPvuF2+aZXWGKiWvl29WqYOhWefVameAvbJy03wp5cuAADB8KWLfDppzB6tN4R2R5jr2mjkptZs2YxceJEYmNj8fT0pEePHvTq1YsWLVpQt25dXIqYGhMfH8/27dvZvHkzP/30EydOnMBgMHD//fczdepUKleuXLJneBtjxoxh+fLlbN68mdBbrM5YVMtNWFiYvBle5+RJtZJ3XJxaAbdbN70jEsI4ktwIe5OTo6aJf/opjBqlfrq76x2V7TBrcuPi4kJERATPP/88AwcONOlNYteuXXz66afMnTuX//3vf7z22mvFPoaxxo4dy+LFi9m4cSNVq1Yt1mPlzbCwDRvgvvugdGn49VeoXVvviIQwnlzPwl59+SWMGaMmbvzyC5Qtq3dEtsHYa9qo2VLffvstR48eZeTIkSa/QTRt2rTgOJ06dTLpGLejaRpPPvkkCxcu5I8//ih2YiMK+/pruPNONWD4r78ksRFCCGt57DG1NtXBg9C8ORw6pHdE9sWo5GbIkCFmm/lUtWpV2rVrZ5Zj/deYMWP44YcfmDNnDv7+/ly4cIELFy6Qnp5ukfM5qtxcGD9erYXyyCNqnM0txmQLIYSwgHbt1HRxPz/VgrNund4R2Q+HqnMzbdo0EhMT6dixIxUqVCjY5s+fr3dodiM1VdVc+OQT1dc7bZr09wohhF4qV4bNm1XrTffuajFicXsmTQW/naSkJFauXElcXBxNmjShQ4cOljjNDUpYssfpxcfD3Xer9U+WL4cePfSOSAghREAArFgBI0fCkCFw5owqyyEzVm/O5ORm/vz5vPPOOzzxxBM8+uijBbcfOXKEbt26ERsbW3DbkCFDmD17dokCFZZ17pz6VnDpkmr6bN5c74iEEELkc3dXq4tXrQqvvgqxsfD556BzrVybZXK31Pz589m3b98NlX/HjRvHuXPniIiIoE+fPvj5+fH999+zYsWKEgcrLOPIEdWfm5r6b/OnEEII22IwwGuvwVdfwcyZ8NBDkJ2td1S2yeTkZt++fQQFBVGzZs2C286fP8+aNWsIDw/nwIEDLFy4kF9//RVN04iKijJLwMK8tm9XJb9LlVKFo2rV0jsiIYQQt/LII6qK8YIFqlp8WpreEdkek5Oby5cvEx4eXui2devWoWkagwcPxsvLC4D27dtTuXJlDh8+XLJIhdmtWQOdO6uEZuNGqFRJ74iEEEIYo39/VXts/Xo1PvKf1YbEP0xObrKyssjNzS1026ZNmzAYDDfUsQkJCeH8+fOmnkpYwMqV0KsXdOigkhyZ6i2EEPale3f1/n3ggPqievmy3hHZDpOTm0qVKnHy5EnSrmsPW7VqFW5ubrRp06bQvsnJyQTICos2Y9Uq6NcPevaERYvAx0fviIQQQpiidWtVST42VhKc65mc3Nx5552kpaUxduxY/v77byZNmkR0dDSdO3fG57pPy/T0dI4fP05YWJhZAraUqKgoIiMjae7go2lXrVJ9tN27q3WiPDz0jkgIIURJNGiguqcuX4YuXSTBgWKsCv5fMTExNG3alPj4eEDVmHF3d2fTpk20aNGiYL+ffvqJgQMHMm7cOD788EPzRG1BjrwWzerVqkBft25qrRJJbISjc+TrWYj/OnwYOnaEkBD44w/HXI/KrGtLFSU8PJydO3fyxBNP0K1bNx599FG2b99eKLEBWL9+PQ0bNqRPnz6mnkqYQX5i07Ur/PyzJDZCCOFo6tRRdcouXlQtOFev6h2RfkxuuXFUjvhN77ffoHdvtQjmggXg6al3REJYhyNez0LczsGD0KmTmgG7bh0EBuodkfmYveWmfv36vPzyy2zZskWWObAj69apFhtJbIQQwjnUrau6paKj4Z57nLMOjtHJzYkTJ5g6dSrt27cnODiYhx9+mPnz55Mok+tt1s6dqsWmXTtJbIQQwpnUq6fWo9q9G+6/3/kqGRud3MTHx7N48WJGjBiBp6cnP/zwA4MHD6ZcuXJ07tyZDz/8kKNHj1oyVlEMR46oqd716sHChZLYCCGEs2nZUr3///YbjBgBeXl6R2Q9Jo+52b17N7/++ivLli1j9+7daJqGwWAgIiKCe+65h7vvvpsOHTrg5maRhcctxhH66C9eVC9qX19VeVgK9Aln5QjXsxAlNX8+DBoEY8fCxx/b92rixl7TZhlQfPHiRZYtW8ayZctYu3YtKSkpGAwG/P396datG7169aJnz56UK1eupKeyOHt/M0xLUwPJYmLgr7/gPytkCOFU7P16FsJcpk2DJ56AN9+EV17ROxrTWTW5uV52djbr1q3j119/ZcWKFZw+fRqDwYDBYKB58+bcc889vPzyy+Y8pVnZ85thXp7qW125UrXYNG2qd0RC6Muer2chzG3yZJg0CebOhYED9Y7GNLolN/916NChgu6rbdu2kZeXd8OaVLbEnt8MX3gB3ntPLakgZYWEuWTlZpGVm0VOXg65ebloaPi6++Ll5oXBxtu37el61jSNPC1P/Z61XHLzcnF1ccXbzdvmf8/CPmgaPPywqnW2bh20aqV3RMVn7DVt8QExkZGRREZG8sILL3Dt2jVWrVpl6VM6pS+/hHffhQ8/lMRGGE/TNM6nnOfQ5UMcunyIo1eOEpcSx6XUSwVbUmZSkY91Mbjg5+GHn4cfAZ4BVPSvSEX/ilTyr0SlUpWIKB1B9aDqVAmsgoer81aNTM1K5djVYxy9epSziWe5mHqRCykXuJByoeDf19KvkasV/aXP09WTsj5lKeNThjLeZSjnW46IwAhqla1FnbJ1aFi+IV5uXlZ+VsIeGQzw1Vdw+rT6nNi+HapU0Tsqy5Aifv+IiooiKiqK3Nxcjh07Zhff9PKtWaNmRj3+OHz+uX0PFhOWd/raaVaeWMnvp35n27ltnE85D4CHqwc1y9QkPCCccj7lCPYNJtg3mLI+ZfFy88LNxQ1XgysAqdmppGalkpKVQkpWCvHp8ZxPOU9cchyxybHEJceRlZsFgKvBlepB1WkQ0qDQVjmgssVbJKzZcpOenc6BSwfYfX43By8d5OjVoxy5coSzSWcL9inlWYryfuULthDfEMr7lSfIOwg3F7eC37GriytuLm5k52YTnx7PlbQrXE2/ypW0K1xKvcSJ+BMFx3VzcaNhSEPuqHQHXSK60DWiK/6e/hZ9rsK+Xb6sJp14e8OWLWBP61pbrVvqyJEjrF69mlOnTpGSknLTAn8Gg4Gvv/66JKeyCntqxgb4+29o00ZtS5eCnU1OE1agaRrbY7cz7+95rDixgmNXj+Hm4kbrsNa0Dm1Ni0otqBdcj6qlq+LmYp4XUJ6WR2xSLCfiT3Ds6jEOXj7I/ov72X9xP9cyrgHqg75+cH0ahjSkacWmNKnQhLrl6uLu6m6WGMBy13NqVip7L+xl9/nd7L6wuyChydVycXNxo2aZmtQqU4vaZWtTq0wtapWtRa0ytSjtXdpsMaRlp3Ho8iG2x25ne+x2tp7dyvH447i7uNOhSgfuqXkPg+oNopyv7U/kENZ3+LDqlmrZEpYts5/PDosnN9nZ2YwcOZLvvvsO4LZViw0Gg02PtclnT8lNfDw0awb+/rB5s/opRL749Hhm7ZnFl7u/5NjVY1Twq0Cvmr3oWb0nXSK6UMrT+q9vTdOITY4tSHT2X9zPngt7OHrlKBoanq6eNAhpQJMKTWhaQSU89YLr4elmWqEmc1zP19Kvsf/ifnaf382u87vYfX43R64cQUPDw9WD+sH1C2JtWrEp9YLr6dZNdOraKZYfW86y48tYd3odAP3q9OOxJo/RuWpnXAwmLycoHNDvv0OPHvDsszB1qt7RGMfiyc1LL73EO++8g4eHB/feey+NGzemXLlyt2xmHjp0qCmnsip7SW7y8qBXLzXde9cux+03FcUXmxTLlM1T+HrP1+Rpedxf936GNhxKpyqdcHVx1Tu8IqVkpRS0hOw6v4tdcbs4fOUweVoe7i7u1A+pT5PyTWgQ0oA65eoQWS6SCn4VbtutVZzrOTMnkyNXjnDg0gEOXDzA/kv7OXDxALHJsQB4uXnRqHwjmpRvUpDIRJaLtNnxRFfSrvD9vu/5cveXHL5ymGqlq/Fs62cZ3mi4ycmicDzvvw/PPacmovTtq3c0t2fx5CYsLIzz58/zxx9/0L59e5MDtTX2ktxMnqy2FStU5i3EhZQLTN08lek7p+Pj7sMzLZ/h8WaPE+wbrHdoJknLTmPfhX2FWkwOXzlcMJYnwDOAiNIRVA6sTOWAylT0r0gZ7zKU9SlLae/SeLl5cTn+Mr0a9OK3g7+BpxorlD9O6HzyeaITo4lJjCn4mZOXA0B4QDj1g+vTIKQB9YPrUz+kPrXL1jZbt501aZrG1rNb+XT7p/xy6BfCSoUxqeMkhjQYYrPJrrAeTYMBA9TYzR07oGZNvSO6NYsnNz4+PlSpUoVDhw6ZHKQtsofkZsUK1WozeTK8+qre0Qi9Zedm88lfnzBp/SRcXVyZ0GoC41qO06XbydJy8nI4fe00hy4f4vCVw5y+dproxGjOJJzhYupFEjISCj8gA5gKvAhc11PkYnChvF95wgPCqRxQmfCAcCJKR1A/uD71gusR4GVHIyyL4fDlw7y67lUWHF5A4/KNiborilZhdjgfWJhVUhK0aAHu7rBtm6pub6ssntzUq1cPgL///tu0CG2UrSc3p0+r4nytW6sBxC7She7U9l/cz0MLH+Lg5YOMaT6GyR0nm3XQqr3JycshPj2ea+nXyMzN5GjsUe5vej/bTmyjfJny+Hr44ufhh6erp1PXjtl2bhtjVoxh9/ndjGo6ive6vYefh5/eYQkdHTyoEpy+feGHH2x31q2xn9EmfzQOHz6cw4cPc+DAAVMPIYopKwseeAACA+H77yWxcWaapvHZX5/R4ssWGAwGdj62k097furUiQ2oadHBvsHUKluLBiEN6F69OwB1ytWhcmDlgmntzpzYALQMbcn2R7fzWc/P+G7/dzSa3oi/zv2ld1hCR3Xrwtdfw5w5aqkGe2fyx+MzzzxD79696dWrF7/++qs5YxI38fLLsHevWgSttHN/hjm1K2lX6DW3F0+teopRzUbx16N/0bhCY73DEnbG1cWVJ1s8yd7H91LWpyztZ7fnq91f6R2W0NHAgWr9qQkTwN5HnJSozo2madx3330sWbKEoKAgqlWrho+PT9EnMhhYu3atyYFai612S61ZA926wQcfwPjxekcj9HLs6jHu+vEuEjMT+bbvt9xV4y69Q7Jptno925qs3CyeWvkUM3bNYFTTUXzS8xObnQUmLCstTZUY8fRUs3E9bOxlYPExNykpKfTr148//vjjtjVuQOrclMS1a1C/PkRGwqpV0h3lrDZFb6LPvD6U9yvP8sHLqVq6qt4h2TxbvJ5t2Ze7vmTMijG0r9yeRQ8skkrHTmr3blXcb/x426t/Y/G1pV555RXWrl1LmTJlGDlyJI0aNbptnRthmjFjIDUVZs2SxMZZrT+znrt+vIuWoS1ZcP8Cpx9bIyzjsaaPUbNMTe6Zew93fn8nKx9cSZB3kN5hCStr0gTeeANeekkt7dOhg94RFZ/JLTehoaFcvnyZPXv2EBkZae64rM5W15aaP1/1g/74IwwerHc0Qg+bojfR48cetAlrw9JBS2WRxGKQlhvT7IrbRY8fe1CtdDV+f/h3mUnlhHJzoXNnOHMG9u1TE1lsgcW7pXx9falevTr79u0zOUhbZEtvhnFxUK8e3HmnSnKkUcz5bD27lW7fd+OO0Dv4ddCv+LgXPaZNFM2Wrmd7sytuF52+7USrsFb8OuhXGYPjhKKjoUEDuOceNT3cFlh8KnitWrVIT0839eHiNjQNRoxQg7qmTZPExhmdunaKXnN60bRiU5YOXCqJjbCqphWbsnjgYtafWc/QxUPJ0/L0DklYWeXK8MUXqudg/ny9oykek5ObJ554ghMnTrB+/XozhiPyzZoFq1ern2XK6B2NsLaUrBT6zOtDGZ8yLH5gMb4eNlwyVDiszlU7M+feOfx08Cf+98f/9A5H6GDwYOjfH8aOVYs12wuTk5tHH32U8ePHc++99/LZZ5+RkpJizric2qVLaiGzhx9Wg7mEc9E0jWGLh3Em4QyLH1gsg4eFru6LvI+3O7/NlM1T+PWo1DRzNgYDfPqpKiL73HN6R2M8k8fcREREAHDu3LmCKd7lypW7ZZ2bkydPmhim9dhCH/3DD8Py5XDkCJQrp0sIQkfvbnmXF35/gcUPLKZP7T56h2PXbOF6dgSaptFvfj82RG9g18hdRJSO0DskYWUzZ8Ljj8Mff0CnTvrFYfEBxS7FnJMsdW6Ms3atGkD89ddqzI1wLgcuHqDpzKY80/IZ3un6jt7h2D29r2dHkpCRQNOZTQnxDWHT8E2yoriTyctTU8IvXoT9+8FLp0mbFk9uoqOji/2YypUrm3Iqq9LzzTAjQ41ML18eNmyQQcTOJjs3mzu+uoOs3Cx2jdyFp5un3iHZPUluzGtT9CY6zO7AR90/4umWT+sdjrCyw4ehYUN44QVVB0cPFi/iZw+Jir2ZOlXVFFi8WBIbZzRl8xT2X9zPX4/+JYmNsEntKrfjyRZP8tLal+hVsxfVgqrpHZKwojp11BqHb72lBhrXqaN3RDdn8oDis2fPFmv/pUuXmnoqp3D0KEyZAs8/r5ZZEM4lJjGGKZun8Fzr52hasane4QhxU293eZsQvxCeXiUtN87opZcgPNz21zg0Obnp0qULly9fNmrfn3/+mQEDBph6KqcwYQJUqgSvvKJ3JEIPL/7+IoFegbzc7mW9QxHilvw8/Hj3zndZfnw5f5z+Q+9whJV5esL776t1Dles0DuamzM5uTlx4gRdu3YlISHhlvvNmTOHwYMHG7W4prNau1bNjnrnHfD21jsaYW1bz25l7t9zebvz27JQobAL/SP70yq0FRN+myDF/ZxQ375qxtT48ZCdrXc0RTM5uXnyySfZv38/d911F6mpqUXu88033zB06FBcXFyYN2+eyUE6stxc1WrTqpUqlCScz4u/v0jj8o0Z2mio3qEIYRSDwcAH3T5g74W9/LDfRuryC6sxGODjj+H4cYiK0juaopmc3Hz66acMHTqUbdu20adPH7KysgrdP336dB599FFcXV355ZdfuPfee0scrCVFRUURGRlJ8+bNrXre779Xi5J98IEMInZGW89uZVPMJiZ2mIiLQZZ8F/ajVVgr+tXux1ub3iI3z/bLfAjzatAAHnsMJk+GK1f0juZGJk8FB8jLy+P+++9n4cKF3HPPPSxcuBBXV1c+/fRTxo0bh5eXF4sWLaJ79+7mjNmirDl1NDUVataEtm3tb90OYR595vXh+NXj/P3E35LcWIBMBbesv879RcuvW7Lw/oX0q9NP73CElV2+DDVqqMKzn35qnXNafOFMUIX85s6dS7du3Vi2bBlDhw5l6tSpjBs3Dh8fH5YtW2ZXiY21ffCByninTtU7EqGHg5cOsvToUp5v87wkNsIu3RF6B+0rt+fdre/KuEonVK6cmuE7YwbExOgdTWElfkd1d3dn0aJFtG7dmjlz5vDKK6/g5+fHihUr6Ny5szlidEiXL8O776rFyKpW1TsaoYf3/3yf0FKhDK4/WO9QhDDZc62fY9u5bWw5u0XvUIQOnnoKAgL0K+p3M2b5uujt7c3y5ctp0qQJpUqV4rfffqN9+/bmOLTDeu89cHFRNQOE87mWfo15f89jTPMxeLh66B2OECa7q8Zd1AiqwbSd0/QORejAz099jn3zjRpgbCuMSm5cXV1vu5UuXZo9e/aQlJREmzZtbrjfzc3kYsgO5+JF+PxzGDcOypTROxqhhzkH5pCdm82wRsP0DkWIEnExuPBYk8dYcGgBCRkJeocjdDB6tFo2aNIkvSP5l1HJjaZpJd7y8qQWQr533gEPD3jmGb0jEXr5bv933F3zbsr7ldc7FCFK7MEGD5Kdl82CQwv0DkXowMsLXn0V5s6Fv//WOxrFqOQmLy/PLJuA8+dh2jSV2JQurXc0Qg/RCdFsj93OwLoD9Q5FCLOo6F+RzlU788MBqXnjrIYPhypV1NRwW+BwUzQ2btzIPffcQ8WKFTEYDCxevFjvkAr56CPVajNunN6RCL0sPLwQT1dP7q55t96hCGE2g+sNZv2Z9VxMuah3KEIHHh7w4ouwYIFtjL1xuOQmNTWVhg0b8vnnn+sdyg2uXVOtNk88oUaXC+e04PACulXrRilPqbsiHEd+sr7qxCqdIxF6efhhCA5Wa0/pzajkJi0tzawnNffxrtezZ0/efPNNm6yIPG2aWofjaVlM12mdTz7PlrNb6B8pa20IxxLsG0zzis1ZeWKl3qEInXh5qc+3b7+FCxf0jcWo5KZKlSq88847pKSklOhkW7dupUePHnzwwQclOo45ZWZmkpSUVGizhPR0tRbH8OFqVLlwTmtPrwXU9FkhHE3P6j1ZfXI1OXk5eocidDJ6NLi7W69i8c0YldxERETw0ksvERYWxiOPPMKaNWvIzTVuLZG4uDg++ugjmjVrRrt27di8eTP16tUrUdDmNGXKFAICAgq2sLAwi5xnzhxVjXjCBIscXtiJP07/QYOQBpT1Kat3KEKY3V017iIhI4Ft57bpHYrQSWAgPP44fPEFWKitwChGry31888/88orr3DixAkMBgNeXl40btyYpk2bUqFCBYKCgvD09CQhIYH4+HgOHz7Mzp07iY6ORtM03NzcGD58OJMnT6a8lZouDAYDixYtom/fvjfdJzMzk8zMzIL/JyUlERYWZta1aDQNmjSB0FD49VezHFLYqaqfVKVvrb581OMjvUNxCrK2lHXl5uUS/H4wY1uMZVLHSXqHI3Ry7hxERKilhcaPN++xjb2mja6sN2DAAPr378+qVauYOXMmK1asYOvWrWzduhVDEctZ5+dMVatWZcSIEYwYMYIKFSqY8FQsy9PTE09PT4ueY+tW2LtX1pBydqevneZMwhk6Ve2kdyhCWISriyt3VLqD7bHb9Q5F6Cg0FO6/X7XejBunqvFbW7HKBhsMBnr27EnPnj1JS0vjzz//ZOvWrURHR3PlyhUyMjIICgoiODiYRo0a0bZtW6pXr26p2O3G55+rlVO7dtU7EqGnv2L/AqBNWBudIxHCclpUasHn2z9H07Qiv/gK5zB6NPz4I/z+O3TrZv3zm7wmgo+PD126dKFLly7mjKfEUlJSOHHiRMH/T58+zd69ewkKCiI8PNzq8Zw/D7/8oqbG6ZG9Ctux78I+QkuFUsZH1twQjqt5xeZcTb/KmYQzVC0tqwI7q9atoX59NUtYj+TG4T5ud+7cSePGjWncuDEA48ePp3Hjxrz22mu6xDNjBnh6wtChupxe2JC9F/fSqHwjvcMQwqKaV2oOIF1TTs5gUK03S5fC2bPWP7/DJTcdO3Yscm2r2bNnWz2W7GyV3AwZokaQC+e278I+GoY01DsMISwq2DeYKoFV2BG3Q+9QhM4eegh8fODLL61/bodLbmzJ6tWqkNHIkXpHIvR2MeUi51POS8uNcAoNQhpw6PIhvcMQOvP3V1/uv/xSfdm3JkluLOi771SfY6NGekci9Lb/4n4AabkRTqF66eqciD9x+x2Fw3vsMfUlf80a655XkhsLuXZN9TU+/LDqexTO7eS1k7gaXGWApXAK1YOqczrhtFQqFjRqBHXrwvffW/e8ktxYyM8/q2a4Bx/UOxJhC84knCEsIAw3F5MnKAphN6oHVScnL4fohGi9QxE6MxhU19TixdatWCzJjYV8952a/maDdQuFDqITo6kcUFnvMISwiupBqr7Z8fjjOkcibMHgwZCZCQsWWO+cktz8IyoqisjISJo3b17iY508CVu2qC4pIQCiE6KpHCjJjXAOYQFqjb5zSed0jkTYgrAw6NjRul1TJic306ZNIyEhwYyh6GvMmDEcOnSIHTtKPn1xzhzw84M+fcwQmHAIMYkxhJeyfhFJIfTg5uJGGe8yXEq9pHcowkYMGQLr16t1p6zB5ORmzJgxVKhQgYEDB7Jq1SqMXH/TKSxcCL16qfn9QgBcTb9KOd9yeochhNUE+wZLciMK9OsHrq5q7I01mJzc3HXXXeTm5vLTTz9x9913Exoayosvvsjhw4fNGZ/dOX1aLZLZr5/ekQhbkZadRkZOBmW8ZdkF4TxC/EIkuREFAgOhc2dYtMg65zM5uVm2bBnnzp3j/fffp169epw/f553332XevXq0bJlS6ZPn+5Q3VbGWrIEPDygZ0+9IxG2Ij49HoAg7yCdIxHCeoJ9g7mYelHvMIQN6dcPNmyAq1ctf64SDSgODg5m/Pjx7Nu3jz179vD0009Trlw5tm/fXqjbauXKlU7TbbVoEdx5p6rMKAT8m9zIgpnCmQR6BpKUacW5v8Lm9ekDeXmwbJnlz2W22VINGzbko48+IjY2liVLltC3b180TePnn3+mV69eBd1WR44cMdcpbc7ly7B5s3RJicISMhIACPQK1DUOIazJ292b9Ox0vcMQNqRCBWjZ0jpdU2afCu7q6so999zD119/zSuvvIKrqyuaphV0W9WtW5cuXbqwbds2c59ad7/+CpoGvXvrHYmwJZk5mQB4unrqHIkQ1uPj7kNadpreYQgb06+fWncxzcIvDbMmN3l5eSxfvpz777+fChUqMGnSJHJycmjQoAEffvghzz//POXLl2fdunW0a9eOxdYaNm0ly5ZBq1YQHKx3JMKWZOVmAeDh6qFzJEJYjyQ3oii9ekFGBmzcaNnzmCW52b9/PxMmTKBSpUr07t2bX375BW9vb0aNGsWOHTvYu3cv48aNY+rUqURHR/Pee++Rm5vLxIkTzXF6m5CTA2vXQo8eekcibE12nloO193VXedIhLAebzdvSW7EDWrXhkqVLL+QpskL3Vy+fJkff/yRb7/9lv3796NpGgaDgc6dOzNixAjuvfdePD1vbIZ3c3NjwoQJfPvttxw9erREwduSHTvUuhldu+odibA10nIjnJG3uzfpOTLmRhRmMKjPSZtNbkJDQ8nJyUHTNKpUqcLQoUMZPnw44eHGVWENCgoiOzvb1NPbnDVrICAAmjXTOxJha/KTG3cXabkRzsWAQe8QhA3q2hVmz4bz5y23/qLJyY2LiwsDBw5kxIgRdOnSpdiPnz9/PhkZGaae3ub89ht06QJusuiz+I/sXOmWEs4nT8vDxSDLF4ob3Xmn+vn772pZBksw+aP4woULBAQEmHzikJAQkx9rCVFRUURFRZGbm1vsx6alwV9/wSefWCAwYfcMBvXt1VlqPQkBktyImwsOhkaNVI+HpZIbk195zzzzDO+8845R+77zzjuMGDHC1FNZRUkWzty+XQ0obtvWAoEJu5c/BTwzN1PnSISwHkluxK106mTZGVMmv/Jmz57N8uXLjdp31apVfPvtt6aeyuZt3QqlSkHdunpHImyRp9s/yU2OJDfCeWiaJsmNuKk2bSA6GmJjLXN8q7zycnJycHFx3Bf5li2q6qKrq96RCFvk5eYFQEaO44wxE+J2crVcSW7ETbVurX5u3WqZ41v8lZebm8upU6cIDAy09Kl0kZcHf/6pslAhiiLdUsIZpWen4+3urXcYwkZVqABVq6rGAUswekDxxo0bWb9+faHbYmJieP3112/6mPT0dLZu3cqFCxfo6aDLZB89Cteu/ZuFCvFf0i0lnFFqdio+7j56hyFsWJs2NpDcrFu3jsmTJ2MwGApmfcTExDBp0qTbPrZ06dK3TILs2ZYt4OICd9yhdyTCVknLjXBGqVmp+Lr76h2GsGEtW8L8+ZCVBR5mrnFqdHLTsWPHgn9rmsbrr79OeHg4w4cPL3J/g8GAt7c3ERERdOvWDX9//xIHa4t27FADiR306QkzyG+5kTE3wpmkZafh6yHJjbi5xo0hOxsOHVJTw83J6OSmQ4cOdOjQoeD/+cmNI60PZYq9e9UfSIibyW+aT8+WUvTCeaRmS8uNuLUGDdRyDHv2mD+5MXlAcV5eHhstvaynjcvJgf37zf9HEY4lwFMVu0zMTNQ5EiGsJzU7VVpuxC35+UHNmiq5MTeZp1cCx4+rpdul5UbcSoDXP8lNhiQ3wnkkZybj5+GndxjCxjVubJnkxqhuqfwWGh8fH5r9szKkKa027du3L/ZjbNm+fepngwb6xiFsm4erB95u3iRkJOgdihBWk5iZSKRnpN5hCBvXqBEsWwaaprqozMWo5KZjx44YDAZq1arFoUOHCt1mLIPBQE5OjmlRWoEpa0sdPgzly0NQkAUDEw4hwCtAuqWEU0nMSCzokhXiZurWhZQUiIuDSpXMd1yjkpv27dtjMBgIDw+/4TZHMWbMGMaMGUNSUpLRC4IePgy1a1s4MOEQAjwDpFtKOJWkzCRKeZbSOwxh42rWVD+PHtUhuflv8b6b3eZsjhyRxTKFcQK9AqVbSjgNTdNIzEwsGG8mxM1UrQpubnDsGHTubL7jyoBiE+Xmqj+GtNwIYwR6BZKQmaB3GEJYRXpOOjl5OdItJW7L3R0iItTnqTlJcmOiuDjIzIRq1fSORNiDQK9A6ZYSTiP/tS4tN8IYNWuqbilzMjm52bhxI507d2bGjBm33G/69Ol07tyZLZZaQEInp0+rn1Wr6huHsA+BXoFcy7imdxhCWEVSZhKAjLkRRrGp5Oarr75iw4YNtGrV6pb7tWrVivXr1zNr1ixTT2WT8pObKlV0DUPYCRlzI5xJ/sxA6ZYSxqhaFc6ehbw88x3T5ORm27ZtBAUF0eA2RV4aNmxImTJlHLLlJiQEfGTRW2GE0l6lJbkRTkO6pURxhIaqxTOvXDHfMU1ObmJjY6liZLNFlSpViI2NNfVUNik2FsLC9I5C2Iv8lhtN0/QORQiLk5YbURyhoernuXPmO6bJyY2HhwfJyclG7ZucnIyLi2ONXb54UbXcCGGMQK9A8rQ8krOMu2aEsGf5Y278Pf11jkTYg/z6NuZsAzE546hduzbHjx/n2G3mbx07doxjx45RM79Sj4OQ5EYUR6BXIIB0TQmnkJiRiK+7L24uRpVSE04uOFjVurGJlpv77rsPTdN4+OGHSUhIKHKfhIQEhg4disFgYMCAAaaeyiZduCDJjTBeae/SgCQ3wjlIAT9RHK6uULGieZMbk9PqMWPGMGvWLHbs2EGdOnV45JFHuOOOOwgMDCQhIYFt27Yxa9YsLl68SO3atRk7dqz5oraA4qwtpWmq5aZ8eSsEJhyCtNwIZ5KYkSjTwEWxhITA5cvmO57JyY23tzerV6+mX79+7N69mylTptywj6ZpNGvWjAULFuDt7V2iQC2tOGtLJSWpAn7SciOMlZ/cXEuXWjfC8SVlJslgYlEsQUEQH2++45WoQzQsLIzt27ezcOFClixZwuHDh0lKSsLf35+6devSt29f+vbt65CDiUGSG2E8abkRzkS6pURxBQWp4R7mUuLRXi4uLvTv35/+/fubIx67kD/EqHRpXcMQdsTD1QNPV0+ZLSWcQmJmIqW95A1SGC8oCA4dMt/xHKtJxUryZ8D7yyxHUQxebl5k5GToHYYQFidjbkRxBQXB1avmO55Z5umdPn2aNWvWcOzYMZKTk/H396dmzZp07dqVqg64+JIkN8IUktwIZyFjbkRx+flBaqr5jlei5ObatWs88cQT/PzzzwWVVzVNw2AwAGAwGHjggQf4/PPPKe1AfTj5yU0p+WIiikGSG+EsZMyNKC4fH0hLM9/xTE5u0tPT6dKlC/v27UPTNFq1akXdunUJCQnh4sWLHDx4kD///JN58+Zx5MgRtmzZgpeXl/ki11Fysio45OmpdyTCnkhyI5xFYkaitNyIYvHxUbOQc3NV3ZuSMnnMzUcffcTevXupVasW27dvZ8uWLcycOZM33niDmTNnsmXLFrZv307t2rXZu3cvH3/8ccmjNdIXX3xB1apV8fLyomnTpmzatMmsx8/MBAfJ04QVSXIjnIGmaaTnpOPjLqsKC+PlL0Kdnm6e45mc3Pz000+4urqybNkymjVrVuQ+zZo1Y+nSpbi4uDBv3jyTgyyO+fPnM27cOF555RX27NlDu3bt6NmzJzExMWY7R06OarkRoji83LxIzzbTlSuEjcrT8gBwdTHD12/hNPIbDDLM9P3P5OTmxIkT1KtXj4iIiFvuV61aNerVq8eJEydMPVWxfPjhhzzyyCM8+uij1KlTh48//piwsDCmTZtmtnNIciNM4eXmRXqOJDfCsRUkNwZJboR+TE5uXF1dyc7ONmrf7OxsqxTyy8rKYteuXXTr1q3Q7d26dWPr1q1mO092Nri7m+1wwkm4ubgVvPEL4ajyX+MuBqk0Ioz3z5wk/pmPVGImtz/UqlWLXbt2sW/fPho2bHjT/fbu3cuhQ4do3ry5qacy2pUrV8jNzSXkP6WDQ0JCuHCT0oeZmZlkZmYW/D8pKanQz6Kkpqo/wC12EeIGOek5ZJN9y9eWMC9jrmdhXmnZaZABmWmZ8nsXRsufBp6cfOvGA6NfU5qJPv30U81gMGihoaHa0qVLi9xnyZIlWlhYmObi4qJ99tlnpp7KaLGxsRqgbd26tdDtb775plarVq0iHzNx4kQNkE022WSTTTbZ7GRLTEy8ZT5g0LT8xqDiycnJoXv37qxbtw6DwUB4eDi1a9cmODiYS5cucfjwYc6ePYumaXTu3JnVq1fjao75XbeQlZWFj48PP//8M/369Su4/emnn2bv3r1s2LDhhscU1XITFhbG2bNnKXWTQjbvvQfTp8PJk+Z/DsJx3TP3Hsr5lGNWn1l6h+I0jLmehXmlZKVQ6YNKfN3na/pHOs+yPKJkFi+GoUMhOhoCA2++X/41nZiYeMtr2uRuKTc3N5YvX87//vc/pk+fTnR0NNHR0YX28fHxYfTo0bzxxhsWT2wAPDw8aNq0KWvWrCmU3KxZs4Y+ffoU+RhPT088iyhYU6pUqZv+4vz91aBiea8UxWHwNODp6ykfsjq41fUszMsr1wu8wM3bTX7nwmje3upnqVLm+Wwt0ZwfLy8v3n//fSZOnMjmzZs5duwYKSkp+Pn5UbNmTdq2bYu/ldcoGD9+PEOGDKFZs2a0atWKmTNnEhMTw6hRo8x2Dnd3NahYiOJIyUrB30PW7BCOzd1FDZjIys3SORJhT2xmQPH1/P396dmzJz179jTH4UrkgQce4OrVq7z++uucP3+eevXqsWLFCipXrmy2c3h4QJZct6KYkjKTZDFB4fAMBgMerh5k5mTefmch/pGbq36aq5PHIau1PPHEEzzxxBMWO35+y42mmS/LFI5PkhvhLDxdPaXlRhRL/rpS+d1TJWVUcmOu6r7h4eFmOY7eri8T7SMVxoWRJLkRzsLD1YPMXGm5EcZLS1NViq3aclOlSpWClb5NZTAYyMnJKdExbEX+SO7EREluhHGyc7NJz0mX5EY4BU83T1lHTRRLaqp5P0+NSm7Cw8NLnNw4kvzkJiEBKlTQMxJhL5KzkgEkuRFOwd/Dn5SsFL3DEHYkIeHWU8CLy6jk5syZM+Y7owO4PrkRwhhJmaqqpiQ3whkEeAWQmJGodxjCjsTHQ1CQ+Y4ni3+YQJIbUVyS3AhnUsqzFElZsvSCMN61a1C6tPmOJ8mNCSS5EcUlyY1wJgGe0nIjiufaNRtrubl48SJvvfUW3bp1o27dulSrVq3Q/YsXL2bmzJlkZNj24LKoqCgiIyONWuDT11fVurlyxQqBCYcgyY1wJqU8S5GYKcmNMN7ly1CmjPmOV6I6N4sXL2bYsGEkJyeTv0TVfwceHzp0iFdffZVy5coVWhLB1owZM4YxY8aQlJREQEDALfc1GKBSJYiNtVJwwu5JciOcSYBnQMFrXghjxMZCaKj5jmdyy83evXt54IEHSEtLY/z48WzYsIGmTZvesN+gQYPQNI0FCxaUKFBbExoK587pHYWwF8mZyRgw4Ovuq3coQlhcKc9S0i0ljJaeDlevmje5Mbnl5u233yYnJ4evvvqK4cOHA2qtqf+qWrUqISEh7N+/3/QobVClSpLcCOPlF/CTkgrCGQR4ScuNMF5+L4hNtNxs3LiRMmXKFCQ2txIWFsY5B8sEQkOlW0oYT6oTC2dSyrMUyVnJ5Obl6h2KsAP56YFNJDfXrl0zejkFTdPIzHSsUtz53VL5K5kKcSuS3AhnEugVCCCtN8Io+clNpUrmO6bJyU25cuWIjo6+7X65ubkcO3aMihUrmnoqmxQaChkZqvCQELcjyY1wJgGealKGzJgSxjh3Tk0DN+fyCyYnN23btiU+Pp4lS5bccr/Zs2eTnJxM586dTT2VTQoLUz+NyO+EICkrCX9Pf73DEMIq8ltuEjISdI1D2IezZ83bagMlSG4mTJgAwMiRI1m+fHmR+3z33Xc8/fTTuLm58fTTT5t6KptUo4b6efSovnEI+yAtN8KZBHj903IjM6aEEY4fh+rVzXtMk5Ob5s2b8/7773PlyhV69+5NhQoV+PvvvwFo37495cqVY/jw4aSnp/PJJ58QGRlptqBtQenSEBICR47oHYmwB0mZSZTykORGOAdpuRHFcfQo1Kpl3mOWqELxM888w/Lly2nUqBEXL14kMTERTdPYvHkzV69epW7duixbtozRo0ebK16bUqeOJDfCONJyI5yJjLkRxkpNhZgY8yc3JapQDNCjRw969OhBTEwMBw4cIDExET8/PyIjI6lu7nYmG1O7NmzdqncUwh5IciOciaebJ15uXtJyI27r+HH10+aSm3zh4eFGTw13FLVrw+zZkJsLrq56RyNsmSQ3wtkEegXKmBtxW/njVm2mW+rZZ59l9+7d5oxFV8VZODNf7dpqOnhMjAUDE3YvT8sjOTNZkhvhVAI8A6TlRtzWwYMQHGzeFcGhBMnNhx9+SPPmzalVqxaTJ0/m2LFj5ozL6saMGcOhQ4fYsWOH0Y+pU0f9PHjQQkEJh5CalYqGJsmNcCqBXoEy5kbc1v790LCh+Y9rcnLzzDPPULFiRY4fP87rr79OnTp1aNasGR9++CGxTrIuQViYyjYdqAFLWEB+lVapcyOcSYCXtNyI29u3z8aSmw8++ICzZ8+yfv16HnvsMYKCgti9ezfPPfcclStXplOnTsycOZN4By7hazBA06awa5fekQhblpadBoCfh5/OkQhhPdJyI27nyhU4c0Z9jppbiaaCg6ppM336dC5cuMDy5csZPHgwvr6+bNiwgdGjR1OhQgV69erF3LlzzRGvzWnWDHbu1DsKYcvykxsfdzPWFhfCxsmYG3E7+Z+dzZqZ/9glTm7yubq60rNnT77//nsuXrzIvHnz6NOnDy4uLqxYsYIhQ4aY61Q2pWlTiIuDCxf0jkTYqtTsVECSG+FcAjwDZOFMcUs7dqiCuNWqmf/YZpsKfj0vLy/69OmDwWAgMTGRdevWoTno8tn5zWk7dsA99+gbi7BN0nIjnJGHqwdZuVl6hyFs2I4dqtXGYDD/sc2a3OTm5rJmzRrmzp3L4sWLSUlJQdM03Nzc6N69uzlPZTMqV4YKFWDLFkluRNEkuRHOyM3FjZy8HL3DEDZK0+Cvv+CxxyxzfLMkN5s2bWLu3Ln88ssvXL16FU3TMBgMtGnThsGDBzNgwADKlCljjlPZHIMB2rWDTZv0jkTYqoycDAC83Lx0jkQI63F3dZfkRtzUsWNw6ZL6/LQEk5Ob3bt3M3fuXObPn09sbGxBt1PDhg0ZNGgQgwYNIiwszGyB2rK2bWHCBEhPB29vvaMRtiZPywPAxWC2IW5C2DxpuRG3smkTuLhAq1aWOb7JyU2zZs0wGAxomkZERASDBg1i8ODB1MmvbOdE2rWD7GzVf9i+vd7RCFuTn/gbsEDHshA2SpIbcSubNkGjRlDKQrVNTU5ugoODeeCBBxg8eDB33HGHOWOyO/Xrqz/Qxo2S3IgbaajkRlpuhDOR5EbcyqZN0Lu35Y5vcnITFxeHi4vjvFlHRUURFRVFbm5usR/r6godOsDvv8P//meB4IRdy++WMlhiSoAQNkqSG3EzJ0/C6dPQubPlzmFyduJIiQ2YtrbU9bp3VzOmkpPNHJiwe9ItJZyRm4sb2bnZeochbNCaNeDmBh07Wu4cjpWh6Kh7d8jJgXXr9I5ECCH0l5OXg5uLRUqpCTv3229qILGlxtuAJDdmU706RESoP5oQ18ufAp4/JVwIZ5CZk4mnm6feYQgbk5MDa9dC166WPY8kN2bUrRusXq13FMLW+Hr4Av8uwyCEM8jMzcTTVZIbUdjWrZCUpD4vLUmSGzPq0QNOnIDjx/WORNiS/MrE+ZWKhXAGGTkZeLh66B2GsDGLFqmq/s2bW/Y8ktyYUdeuqojfokV6RyJsiSQ3whklZCQQ6BWodxjChmia+nzs108V8LMkSW7MyMdHtd5IciOu5+v+T7dUlnRLCedxLeMaQd5BeochbMjevRAdrZIbS5Pkxsz69YNt2yA2Vu9IhK3I//Yanx6vbyBCWFF8erwkN6KQRYugdGlVF87SJLkxs1691Pz9JUv0jkTYimDfYAwYuJByQe9QhLCaa+nSciMKW7hQfUa6u1v+XEYlN66uriXe3Nyco95B6dLQqRMsWKB3JMJWuLu6U9anrCQ3wqnEp8dT2qu03mEIG3H8OBw8CPfea53zGZXcaJpW4i0vL8/Sz8VmDBgA69fD+fN6RyJsRXm/8pxPkReEcB6XUi9R1qes3mEIG7FggZpwY+kp4PmMSm7y8vLMstmyqKgoIiMjaW6G+Wn9+6uuqXnzzBCYcAjl/cpLy41wGilZKVzLuEZ4QLjeoQgboGnw/ffQt6+aeGMNMubmHyVdW+p6pUurfsUffjBDYMIhVPCvIC03wmnEJMYAUDmwss6RCFuwaxccOgRDh1rvnJLcWMhDD8Hu3eoPKkTlgMqcvnZa7zCEsIrohGgAabkRAHz7rSrcd+ed1junJDcWctddEBgorTdCqV22NudTzpOYkah3KEJY3MlrJ3F3caeif0W9QxE6y8qCuXPVF35XV+udt8RTmDZt2sSPP/7Ivn37iI+PJzu76CXuDQYDJ0+eLOnp7IanJwweDLNnw+TJ1pn6JmxXnbJ1ADhy5Qh3hN6hczRCWNbBSwepVbaWrAouWLECrl61bpcUlDC5GTNmDNOnT0fTtNvuazAYSnIquzRyJHzxBSxfrgZSCedVs0xNQJIb4RwOXj5I3XJ19Q5D2IDZs6FpU6hr5ZeDyd1SP/zwA9OmTaNOnTr8/vvvNGvWDIPBwPHjx/njjz/46KOPqFy5Mt7e3kyfPp1Tp06ZM2670LAh3HEHzJihdyRCb74evoQHhHP4ymG9QxHCojRNk+RGABATA7/+Co88Yv1zm5zcfPXVVxgMBubNm0fnzp3x9FRL21erVo2OHTvy9NNPc/z4ce6++26eeuopLl++bLag7cnIkbB6NZw5o3ckQm/1g+uz98JevcMQwqLOp5wnPj2eusGS3Di7adPA3x+GDLH+uU1Obvbv3094eDj16tUD/u12ur6Lys3NjS+//BJXV1feeuutEoZ6e2+99RatW7fGx8eHwMBAi5/PGA88oP64X32ldyRCb61CW7Ht3DbyNNuu+SRESeyIVeU0mlcsec0wYb/S0+HLL2H4cPDzs/75TU5u0tPTCQ4OLvi/t7c3AAkJCYX2CwgIIDIykq1bt5p6KqNlZWUxYMAARo8ebfFzGcvXFx5+WP2RMzL0jkboqXVYaxIzEzl0WeoDCMf1V+xflPcrT2ipUL1DETqaN08NJH7iCX3Ob3JyU758ea5du1bw/woVKgBwqIjCLpcvXyYpKcnUUxlt8uTJPPPMM9SvX9/i5yqOsWPh8mWYM0fvSISeWlRqgavBlS0xW/QORQiL2Ri9kdZhrZ1yEolQNA0++wx69oQaNfSJweTkplatWsTFxRV0Q7Vt2xZN03jnnXcKTQf//vvviYmJISIiouTR2qmaNeGee+DDD9UfXTgnXw9fGldozNZzlm/FFEIPSZlJbDu3ja4RXfUOReho61bYs0d9sdeLycnN3XffTVpaGhs3bgRg4MCBVKhQgeXLl1OrVi0GDBhA+/btGTZsGAaDgVGjRpktaHPKzMwkKSmp0GYJ48erFVHXrLHI4YWdaB3amo3RG40qnyCEvVl/Zj25Wq4kN07us89Ui0337vrFYHJyc//99/PGG2/g/k91Oj8/P5YtW0ZERARnzpxhwYIFbN68GVdXVyZMmMBYE1O4SZMmYTAYbrnt3LnT1KfBlClTCAgIKNjCwsJMPtattG8PTZrABx9Y5PDCTnSr1o0zCWc4dvWY3qEIYXZrTq6hamBVqgVV0zsUoZNTp+CXX1SrjYuOayAYNDN/hczLy2P79u2cOXMGb29vWrZsSUhIiMnHu3LlCleuXLnlPlWqVMHLy6vg/7Nnz2bcuHE3DG4uSmZmJpmZmQX/T0pKIiwsjMTEREqVKmVy3EX58UdVgnrfPmjQwKyHFnYiLTuNoHeCmNJlCs+0ekbvcBxeUlISAQEBFrmexY1qfV6LjpU7MuMeKe7lrEaOhCVL4PRpy6wAbuw1bfba2C4uLrRs2ZKWLVua5Xhly5albNmyZjlWUTw9PQtq9Fja/ffD//4Hb74JP/1klVMKG+Pj7kOXiC4sPLJQkhvhUI5eOcqxq8eY2mWq3qEIncTEqIrEb71lmcSmOBxq4cyYmBj27t1LTEwMubm57N27l71795KSkqJ3aIBaX+rll1WT3cGDekcj9DKo3iA2x2wuWDlZCEcw9++5+Hv406N6D71DETp55x0oVQpsoRqLycnN0qVLiYiI4IPbDCL54IMPiIiIYMWKFaaeymivvfYajRs3ZuLEiaSkpNC4cWMaN25cojE55jZ0KISFqcxWOKe+tfvi4+7DnANSG0A4Bk3TmPv3XPrV6Ye3u7fe4QgdxMXB11/DM8/oU7Tvv0xObr777juio6Pp16/fLffr06cPZ86c4bvvvjP1VEabPXs2mqbdsHXs2NHi5zaWhwe89JIqcHTkiN7RCD34efjRr3Y/vt//vcyaEg5hz4U9HLt6jMH1BusditDJe++Btzc8+aTekSgmJzd79uwhODj4tvVrqlevTkhIiE21nuht+HCoVEmNvRHO6cH6D3L4ymFZa0o4hG/3fks5n3J0ieiidyhCB5cuqQWin3oKAgL0jkYxObmJi4sjPDzcqH3DwsI4f/68qadyOJ6eauzNnDmwf7/e0Qg9dK3WlfJ+5fly95d6hyJEiaRlp/Hd/u8Y0XgEbi5mn6Mi7MDUqeDqCk8/rXck/zI5ufH19TV6pe8rV65YbUaSvXj0UaheHV54Qe9IhB7cXNwY3Ww03+77lvj0eL3DEcJk3+/7nqTMJB5v+rjeoQgdnDoFn3+uPsuCgvSO5l8mJzf169cnOjr6tt1NO3fu5MyZMwWrhwvF3R2mTIFVq2DtWr2jEXoY1WwUOXk5fLlLWm+EfcrNy+X9P9/nvjr3UbV0Vb3DETp46SUoV05V4bclJic3gwcPRtM0HnzwQU6dOlXkPqdPn+bBBx/EYDAweLAMNPuve++Fli3h+echL0/vaIS1BfsGM6TBED7+62PSstP0DkeIYlt8ZDEn4k/wXOvn9A5F6GDbNlWz7c039a9r818mVyjOzc2lQ4cObN26FS8vL+69917uuOMOAgMDSUhIYNu2bSxevJj09HRat27Nhg0bcHV1NXf8ZmftiqabNqmlGebMgUGDLH46YWNOXTtFzc9q8m7Xdxnfysa++jgAqVBsOXlaHo2mN6KcbznWPizNz85G06BdO0hOht271ZgbazD2mi7R8gsJCQkMHz6cJUuWqINdt8R9/mH79evH119/TWBgoKmnsYqoqCiioqLIzc3l2LFjVn0z7NNHDSw+dEhNpRPO5bGlj7Hk6BJOPX0KPw8bKBDhQCS5sZw5B+bw4MIH+fORP2kZap6K9MJ+LFqkeh9++w26WnGdVKskN/l27tzJkiVLOHz4MElJSfj7+1O3bl369u1LkyZNSnp4q9LjzfDoUahfH155BSZOtMophQ2JToim1ue1mNBqAm91keqO5iTJjWVk5GRQ94u61C1Xl6WDluodjrCyrCyoVw8iItS4UWuy6tpSzZo1o1mzZuY4lFOqVQsmTFADjIcMUS8Y4TwqB1bm+TbP886WdxjeeDjVg6rrHZIQt/T+1vc5m3iWFYMtX3le2J4PP1SzpBYs0DuSm3OotaXs2f/+B8HBtlUnQFjPi21fpLxfecatGidVi4VNO5Nwhrc3vc0zLZ+hVtlaeocjrOzMGXj9dfVZVb++3tHcnCQ3NsLXFz76CJYtg19/1TsaYW0+7j583P1jlh9fLmtOCZuVp+UxbPEwyvmW43/t/6d3OMLKNA3GjoUyZWDSJL2juTWjuqXyl1ioXr06v/32W6HbjGUwGDh58mQxw3Mu994L3bqpEtZ33imDi51Nvzr9eLD+gzyx4gnahrelcmBlvUMSopCP/vyIDdEb+OPhP/D39Nc7HGFlS5aoL+ALFoC/jf/5jRpQ7OKiGnhq167NoUOHCt1m9IkMBnJzc00I0br0HoB47Jhq6nv+eXjjDaufXugsISOBBtMaEFE6grUPr8XVxfbLJ9gyva9nR/L3pb9pOrMpTzZ/kg+6f6B3OMLKUlIgMlJ9Pi1bBtdNjrYqsw4oPn36NADu7u433CbMq2ZNePFFePtt6N8fGjbUOyJhTYFegXzX7zs6f9uZtze9zasdXtU7JCFIyUrhgV8eoEZQDZnR56QmT4bLl+Gzz/RLbIrDqOSmcuUbm8eLuk2YxyuvqGa/Rx5RFSDdZC06p9KxSkcmdpjIa+tfo0FIA/rU7qN3SMKJ5Y+ziUmMYfuj2/Fy89I7JGFl27apGVJvvWU/s3lNHlC8ceNG9u3bZ9S++/fvZ+PGjaaeyul4eMCsWbBnD3wgrb9O6dUOr3Jfnft4aNFD7L2wV+9whBN76feXWHh4Id/3+5465eroHY6wsrQ0GDoUmjWDZ5/VOxrjmZzcdOzYkaeeesqofZ9++mk6d+5s6qmcUosWaiGyiRPh8GG9oxHW5mJwYXbf2dQuW5seP/TgRPwJvUMSTujz7Z/z7tZ3+bD7h/St3VfvcIQOXnkFYmLg22/tqxehRFPBi1OPQ2p3FN/rr0PVqqqwX3a23tEIa/Pz8GPF4BUEegXS9fuunL4m49yE9czcNZOxK8cyodUExrUcp3c4QgcbN8Inn6juqNq19Y6meKxS5+bq1at42/i85qioKCIjI2nevLneoRTw9obvv4d9+2TmlLMq51uONUPW4Gpwpe03bfn70t96hyScwPSd03l82eOMbTGW97q+p3c4QgcpKTBsGLRpY5/FZY1uZEpKSiIhIaHQbZmZmZw9e/amrTLp6els2LCBv//+m4Y2Pu1nzJgxjBkzpmCama1o1gxefVW14vToAa1b6x2RsLawgDA2j9hMjx960P6b9iwfvJxWYa30Dks4IE3TeH3D60zaMImnWjzFxz0+LrQgsnAe48fDxYuwZo31Vvw2J6OTm48++ojXX3+90G07d+6kSpUqRj3+kUceKVZg4l8vvwyrV8PAgWqQcZkyekckrK28X3nWD1tP77m9ufP7O/m277f0j+yvd1jCgaRmpTJi6Qh+OvgTb3Z6k5fbvSyJjZOaPx++/BJmzoRq1fSOxjRGJzeBgYGEh4cX/D8mJgYPDw/Kly9f5P4GgwFvb28iIiJ44IEHeOihh0oerZNyc4N586BRIzVqfelSKGYNReEAAr0CWf3QaoYvGc6AnwcwodUEpnSZgrur++0fLMQtnIw/yX0/3ceJ+BP8POBnSZyd2IkT8Nhj6sv0o4/qHY3pjKpQXBQXFxfatm3rcFO8bbmi6YoVcPfd8N579jUlT5iXpml8+tenPLvmWZpUaMI3fb4hslyk3mHZJFu+nm2Bpml8uftLxq8eT4hfCIsfWEz9EBteDVFYVGamGvqQlAS7doEtXjLGXtMmf///5ptveOWVV0x9uDDBXXfBCy+oCsZbt+odjdCLwWDg6ZZPs2n4JpIyk2g8ozFvb3qb7FyZUieMd+raKXrN7cXjyx5ncP3B7H18ryQ2Tu755+Hvv1W3lC0mNsVhcstN1apVKVWqFDt27MDDw8PccenG1r/pZWdDp06q7oCMvxEZORlMXj+Zd7e+S60ytXi7y9v0qdXHqcZK5Gl5XEi5QHRCNNcyrpGUmURiRiKJmYkkJSXx1l1v8frq1/H198XLzYvSXqUJ8g4itFQooaVCKeVZyql+XwkZCby96W0++esTyvmUY0avGdxd8269wxI6W7RILd782Wfw5JN6R3Nzxn5Gm5zc+Pr6UrduXbZv325ykLbI1pMbgLNnoXFjaNlSxt8IZc/5Pbzw+wusObWGlqEtmdplKh2qdNA7LLO6knaFAxcPsP/ifo5ePcrphNOcvnaaMwlnyMzNLLSvi8GFUp6lcM925/KrlwmYFECeRx7pOenk5OUU2tfPw4/KAZVpENKARuUbFWzBvsHWfHoWl5adxle7v+KNjW+Qlp3Gi21eZELrCfi4++gdmtDZiRPQvDl07gy//GLba0dZPLlp0KABGRkZHDt2zOQgbZE9JDcAK1eqbqq334aXXtI7GmEr1p5ay4trX2Rn3E6aV2zO6GajeaDeA3b1AZan5XEy/iS7z+9mz4U97L2wlwOXDhCXHAeAl5sXNcvUpGpgVbWVVj8rB1amjHcZArwC8HX3xWAw3HA9a5pGWnYaV9KucC7pXMF26top9l3cx76L+0jJSgGggl+FQslOo/KNqFa6mt2t1B6XHMeXu77ks+2fcS3jGkMbDuXNzm9S0b+i3qEJG5CcrL4o5+TAX39BYKDeEd2axZObd999l5deeok///yTFi1amByorbGX5AZU/Zu33oLFi6F3b72jEbZC0zSWHVvGFzu/YPWJ1QR4BTCs4TAebvgwjco3sqkumOzcbI5cOcLu87sLJTPJWckAhJYKpVH5RjQMaUiDkAY0CGlA9aDquLkYN9GzuNdznpbHqWun2Hthb6EtNjkWAF93XxqENKBhSMOChKd+SH2bSx7TstNYeXwls/fNZsXxFXi6evJI40cY32o8VUtX1Ts8YSPy8lRX1Lp1KrGxhyrEFk9ucnNz6du3Lzt37mT69On07t3bpt40TWVPyU1eHgwYoGrgbN0KDRroHZGwNaeunWLGzhnM2juLK2lXqBJYhT61+nBnxJ20C29HgJf1ClamZ6dz4NIB9pzfU5DI7L+4v6BLqUZQDRpXaEyT8k1oXKExjcs3ppxvuRKd01zX8+XUy+y7uK9QwnPkyhFytVxcDC7ULFNTJTshjagbXJc6ZetQJbCK1Vp58rQ8jlw5wpaYLSw7vow1J9eQnpNOi0otGNFoBAPrDbTq31rYh0mTVIHYpUuhVy+9ozGOxZObzp07o2kamzdvJi8vj4CAAGrUqIGvr2/RJzIYWLt2rSmnsip7Sm4AUlOhXTu4ehW2b4eQEL0jErYoOzebDdEbWHh4Ib8e+5VzSedwMbjQMKQhDcs3pH5wfeoF16NecD3K+5XHxWDaQK707HSiE6M5GX+SE/EnOHntJCev/fPv+JPkarm4GlyJLBdZkMg0qdCEhuUbUsrT/NebJa/n9Ox0Dl4+WJDs5Cc/+d1aXm5e1CpTizrl6lCnbB1qlalFeEA4oaVCqeBfwejWp/9Kzkzm1LVTnLp2iv0X9/PnuT/5K/YvEjISMGCgdVhr+tTqQ5/afahZpqY5n7JwIIsXQ79+8OabanFMe2Hx5MalmKNYDQYDubm5ppzKquwtuQE4d04NBouIgLVrwctL74iELdM0jZPXTrL+zHq2nt3K35f+5uDlg6RlpwHg5uJGBb8KVPSvSIBXAB6uHgWbp6snHq4eZORkcC3jGtfSrxGfHl/w7+sH9nq6ehJROoLqQdWpVroatcvWpkmFJtQLroe3u3XWmrP29axpGueSznH4ymEOXT7E4cuHOXxFbVfSrhTs52JwIcQ3hDI+ZSjlWapg8/fwx8XgQp6WR56WR66WS3JmMtcy1O85Ljmu0HGCvINoGdqSlpVa0iqsFS0qtbBIkigcy+7d0L499OwJP/1k2wOI/8viyc2GDRuK/ZgOHWx39kZUVBRRUVHk5uZy7Ngxu0puQLXadOiguqm+/da+XqxCf3laHqevnebg5YOcSzpHXHIcscmxpGSlkJWbVWjLzMnE082T0l6lKe1dWv38Z3p1ae/ShJYKpXpQdSr6VzS5BchcbOnLSkJGAmcTzxYayJw/df36TUPD1eCKi8EFF4MLfh5+BHkHEeQdRIhvCNWCqhFROoKI0hGU8ynnEMMBhPWcPQt33AGVKsH69XCTzhabZfHkxlHZ0pthcc2bB4MGwZQpqtCfEM7Onq9nIcwtKUkNY0hIUAOIb7J6kk0z9po2rdNX2KSBA+HwYTU1vFIlGDJE74iEEELYgqwsuP9+OHNGTUCxx8SmOMyS3GzZsoUNGzYQGxtLRkYGX3/9dcF9Z86cISsri5o1ZWCbNUyaBLGxMGIElC2r+lSFEEI4r7w8GD5cTflesQLq1tU7IssrUXJz4sQJHnzwQXbu3AmowXQGg6FQcvPuu+8yY8YM1q9fT7t27UoWrbgtgwGmT4crV6B/fzXAuGVLvaMSQgihB02DCRNg7ly1ZlSXLnpHZB0mj/a7ePEiHTp0YMeOHTRr1oxJkyZRvXr1G/YbNmwYmqaxYMGCEgUqjOfmpl7ITZuqVcQPH9Y7IiGEEHp45x34+GOIilITTpyFycnN22+/zfnz5xkzZgzbtm3j1VdfJaSIIistWrTA39+frbKMtVV5e6vCTJUqQdeucOqU3hEJIYSwpk8+UWMwJ06E0aP1jsa6TE5uli1bhq+vL++///5tpyJGRERw9uxZU08lTBQYqKoX+/iolcSjo/WOSAghhDVERcG4cfDCCyq5cTYmJzexsbHUqFEDT0/P2+7r6enJtWvXTD2VKIEKFeCPP1RXVadOquCfEEIIxzV9Ojz5pBprM2WKc9Y9Mzm58fPz4/Lly0btGxMTQ5kyZUw9lSih0FCV4OTlqSXt4+L0jkgIIYQlfPml6oJ6+ml47z3nTGygBMlN48aNiYuL48CBA7fcb8OGDVy4cIGWMmVHV5UrqwQnPV2Nlr9wQe+IhBBCmNOsWTByJIwZAx995LyJDZQguXnkkUfQNI0RI0Zw/vz5Ivc5efIkI0aMwGAw8Nhjj5kcpDCPiAiV4CQlqXVFZBiUEEI4hu++g0cfhVGj4LPPnDuxgRIkNwMHDqR///7s2rWLyMhIBg4cSExMDACvvfYa9957L3Xr1uX06dM89NBD9OjRw2xBW0JUVBSRkZE0b95c71AsqkYN2LhRVats1w5OntQ7IiGEECUxa5Yq0vfII2ogsbMnNlDCtaVycnJ49dVX+fjjj8nM/Hc1YIPBgKZpeHh4MG7cON566y1cXV3NErClOctaNGfPwp13QnIy/P47REbqHZEQ5ucs17NwXh9/DM88A48/Dl98AS76rlVrcVZdOPPKlSusWLGCAwcOkJiYiJ+fH5GRkdx9991UqFChpIe3Kmd6M7x4UdXAOX9eTRlv0kTviIQwL2e6noVz0TR44w01zfv552HqVOdosZFVwU3kbG+G8fHQowccOwZLlkCHDnpHJIT5ONv1LJxDbq6aDRUVBW+/rQr1OQtjr+kSFfHLyckx9eHCRgQFqW6pZs2gWzf4+We9IxJCCHEzqanQr5+qZTNzpnMlNsVhcnLTu3dvKlSowKhRo1i/fr0ZQxLWVqqUWin2vvvggQfUSHshhBC25eJFVYz1jz/g119BJiHfXInq3Fy9epWZM2fSpUsXQkNDefbZZ9m1a5c54xNW4uEBP/wA48fDU0+pPtzcXL2jEkIIAXD0KLRqpSaDbNwIPXvqHZFtMzm52bVrF0ePHmXixInUqlWLuLg4PvzwQ1q0aEGtWrWYPHkyR48eNWeswsJcXOD991Xxpw8+UE2fycl6RyWEEM5t82Zo3VotiLxtm0z+MEaJJo3VqFGDiRMncujQIXbv3s2zzz5LWFgYx48f5/XXXycyMpKmTZvywQcfcM7CixqdOXOGRx55hKpVq+Lt7U21atWYOHEiWVlZFj2vIxo3DpYtgw0b1AV1+rTeEQkhhHP66SdVtqNBA9iyRVWbF7dnthnxjRo14t133+XMmTNs2rSJxx9/nLJly7Jnzx6ef/55qlataq5TFenIkSPk5eUxY8YMDh48yEcffcT06dN5+eWXLXpeR9Wzp/qGkJ4OzZurZlAhhBDWoWlqJtQDD0D//rBqFQQG6h2V/bDoVPBz584xcuRIVq1ahcFgINfKgzjee+89pk2bxqlTp4x+jEwdLezqVbj/fpXcTJumynsLYS/kehb2KDkZhg2DhQtVHZuJE52jho0xjL2m3cx94sTERBYuXMicOXNYv349eXl5AJQuXdrcpzIqlqCgoFvuk5mZWai6clJSkqXDsitlyqhvDE8/rUbm//23GpfjZvZXjhBCiOPHoW9fNXB48WLo00fviOyTWbqlMjIy+Omnn+jXrx/ly5fn0UcfZe3atXh4eDBgwAAWL15808U1LeXkyZN89tlnjBo16pb7TZkyhYCAgIItLCzMShHaD3d3VdY7Kgo+/xzuvlu16AghhDCf5cvVMIDcXNi+XRKbkjC5WyonJ4fVq1czd+5cli5dSmpqKpqm4ebmxp133sngwYPp168fvr6+JQpw0qRJTJ48+Zb77Nixg2bNmhX8Py4ujg4dOtChQwe++uqrWz62qJabsLAwaca+iT/+UN1Uvr6q4F+LFnpHJMTNSbeUsAd5eWp8zWuvwT33qBW+AwL0jso2WXz5hbJly3Lt2jU0TcNgMNC6dWsGDx7M/fffT5kyZUwO/L+uXLnClStXbrlPlSpV8PLyAlRi06lTJ+644w5mz56NSzFXEZM3w9s7e1YlOLt2wYcfwpgx0h8sbJNcz8LWxcer8TW//gqTJ8P//uf4i1+WhMXH3MTHx1O/fn0GDx7MoEGDCA8PN/VQt1S2bFnKli1r1L6xsbF06tSJpk2b8s033xQ7sRHGCQtT08Sffx7GjlU1GL78Evz99Y5MCCHsx59/wsCBkJKiym/cfbfeETkOk5Obv//+m8jISHPGUiJxcXF07NiR8PBw3n//fS5fvlxwX/ny5XWMzDF5eMDHH0ObNvDII2ptqrlzpbiUEELcTl6eavV+6SXVtT9vnvrSKMzH5KYNW0psAH777TdOnDjBH3/8QWhoKBUqVCjYhOUMGAA7d4KfH7RsqSob/zNBTgghxH+cP69aaJ57Ti13s369JDaW4DD9NsOGDUPTtCI3YVk1a8LWrWpNqmefVQUAL1zQOyohhLAtCxdC/fqwd69arPidd9RsVGF+DpPcCH15eqr6N6tXw759qlT48uV6RyWEEPpLSoLhw+G++6B9ezhwQBa+tDRJboRZdesG+/erfuRevVThP6mLKIRwVps2QcOG8MsvMGsWLFgARs6RESUgyY0wu+BgNa1x5kw1UK5BA1i3Tu+ohBDCerKy1IDhDh2gUiXVoj18uJTNsBZJboRFGAyq1Wb/frWKbefOarXxtDS9IxNCCMvat09NsHj/fXjrLVU6IyJC76iciyQ3wqKqVlWtNh9+CNOnq1ac9ev1jkoIIcwvIwNeeUWVxsjKgr/+Uq03rq56R+Z8JLkRFufiAs88o77NVKwInTrB449DYqLekQkhhHls2gSNGsF778Grr8Lu3VL3S0+S3PwjKiqKyMhImjdvrncoDqtWLdVqExUFc+ZA3bqwdKneUQkhhOmSkuCJJ9QsqNKlYc8etUaUh4fekTk3SW7+MWbMGA4dOsSOHTv0DsWhubioN4KDB1UXVZ8+0Ls3nD6td2RCCFE8y5apL2nffQeffKKWoqlbV++oBEhyI3QSHq7q4Pzyi/qmExkJb7yh+qyFEMKWnT2ratbcc49KZg4eVEVMZWyN7ZDkRujGYFBvEIcPw9NPw+uvq+qdq1bpHZkQQtwoO1vNgKpTR1VlnzMHVq5UM0KFbZHkRujOzw+mTlXTxsPCVOXO++6DmBi9IxNCCOX336FxY3jhBbVY8JEjMGiQ1K2xVZLcCJtRpw6sXatWF//zT/X/qVPVlEohhNDD8eNqXGDXrhAYqBYK/uQTCAjQOzJxK5LcCJtiMMDAgepb0ahR8L//qYHHa9boHZkQwpkkJMCECWpMzf79MH++mu7duLHekQljSHIjbFKpUvDBB2r13JAQtWZV794q6RFCCEvJyYFp06BGDZgxAyZNUuMC779fuqDsiSQ3wqbVq6dq48ybp1bSrVcPxoyBy5f1jkwI4Wjyx9U88YRa+Pf4cXj5ZfD21jsyUVyS3AibZzDAAw+ob09Tp8KPP0K1aurfMnVcCFFSRY2r+eYbqFBB78iEqSS5EXbDywuefRZOnFCr6776qqp6PGcO5OXpHZ0Qwt5cvQrjx/87ruann2DjRmjaVO/IRElJciPsTtmyarbCwYPqTejBB9UKvGvX6h2ZEMIepKXBlCmqBfjLL/8dVzNggIyrcRSS3PxD1payPzVrwsKFsGGDekO6807o3FkV1xJCiP/KzlaDhKtXh4kTYehQOHlSxtU4Iklu/iFrS9mv9u1h2zZYskQ1M7dpA3ffrVblFUKIvDw1KaFePRg9Wn0JOnJEtQAHB+sdnbAESW6EQzAY1IDAPXvUm9iJE6rLqn9/OHRI7+iEEHrIy4MFC1StrEGDVIvN7t3www8QEaF3dMKSJLkRDsXFRc2sOnhQzXbYtUt9WxsyRDU/CyEcn6bB0qXQpIn6glOxoqp6vnw5NGqkd3TCGiS5EQ7JzQ2GDYOjRyEqCv74A2rXhscfVyv6CiEcj6aphSxbtIA+faB0aTX76bff1KQD4TwkuREOzcND9bGfOAHvvKMGINeoAePGwcWLekcnhDAHTVMF+Nq0gbvuUtf92rWwbh20a6d3dEIPktwIp+DtrepZnDql1quaPRuqVlVrx1y4oHd0QghTbdgAHTuqAny5ubBqFWzerAYNC+clyY1wKv7+Krk5fRqeew6+/lolOePGQVyc3tEJIYyhabB6tWqV6dgRkpPh11/VrMnu3aVWjZDkRjip0qVh8mQ4cwZeegm+/VbNnhgzBqKj9Y5OCFGUvDxYvBiaN4cePSArS5WA2LVLrQUlSY3IJ8mNcGqBgfDaayqhee01mD9fTRcdPlxWIBfCVuTmwty50LAh9OsHfn6wZo1qqendW5IacSNJboQASpVSVUrPnIF331WzKyIjVTn2PXv0jk4I55SVBbNmQZ06MHgwhIbCpk2wfr2qSC5JjbgZSW6EuI6fHzzzjBp4PGOGKvjVpImagbF5s97RCeEcMjLgiy/UzMZHHlELW+7YoaZ5t22rd3TCHkhyI0QRPD3hscdUnZwff4SYGDV4sX17NRtD0/SOUAjHc+0avP02VKkCY8eqqd0HDsCiRdCsmd7RCXsiyc0/ZOFMURQ3N9Ucvn+/GriYmQk9e6py7t9+q5rNhRAlExOjSjWEhcHrr6sCfEeOwJw5qsK4EMVl0DT5Dnq9pKQkAgICSExMpFSpUnqHI2yMpqmKp++/D8uWqbLuTz8NI0eqwcnCtsj1bNsOHID33lODhf381GzFsWMhJETvyIStMvaalpYbIYrBYIAOHVRNjYMHVSvOq6+qb5zjx8s0ciFuR9NU5eC77lItoBs2qAQnJgbefFMSG2EektwIYaLISPjqK5XQPP20qnpcrRo8+KAaiCyE+FduLvz8s1r3qXNniI1Vq3OfOKGKaPr76x2hcCSS3AhRQuXLq2+cZ8/CRx+p1YebNoUuXdTsDun4Fc4sKQk+/hhq1oT771dlF1atgr171RcBd3e9IxSOSJIbIczE11eNFzh2DH76SZWEv+suqF9ftepkZuodoRDWc/w4PPUUVKqkljpp2VJN5167VpZIEJYnyY0QZubmpor//fWXGnwcEaEqHletCm+8IauRC8elaapycK9eUKuWGig8bpzquv3xR5nOLaxHkhshLMRgULVxli6Fw4dVmfgpUyA8HIYOhZ079Y5QCPNIS4OZM9W07W7dVBftV1+pn2+8oWYVCmFNktwIYQW1a8P06WoQ5dtvqxad5s2hdWuYNw+ys/WOUIjiO3sWXnxRzRYcNUqNq1m3To2nGTECvLz0jlA4K0luhLCi0qVhwgQ1Q2TxYvD2hkGDVEXWN9+ES5f0jlCIW9M02LJFDQ6uWhWmTYNhw+DkSVVJuGNHGU8j9CfJjRA6cHVVVVjXrlWFzHr1Ui06oaEq2dmwQWZZCduSlKQSmcaN1fpOe/eqWVDnzsEHH6hERwhbIcmNEDqrV08t0nnuHLzzjqqR07GjWizw00/VejtC6EHT1AynRx+FChXUbMAqVWDFCrU8wpNPSn0aYZskufmHrC0l9BYUpFYkP3IE/vhDTSGfMEFNpR0xArZvl9YcYR3JySrhbtpUFd377Td44QU162nxYlWZ20U+PYQNk7Wl/kPWohG25MIFmDVLzUSJjlYJz4gR8NBDULas3tHZPrmei2f3bpXUzJmjZkDdfTc8/jj06KG6UoXQm6wtJYQDKF8eXn5ZDdZcsULVDnn+eTW1dsAAVek1N1fvKIU9u3ABPvwQGjVSLTXLl6sWwzNnVBmDu++WxEbYHze9AxBC3J6rq+oK6NkTLl9WBdG+/lr9PzRUlbEfMkSN0xHidjIyYMkS+O47WL1avb7uuUfVpOnZUxWiFMKeScuNEHamXDlV9XX/fjUOp1evfwuoNWmi1re6cEHvKIWt0TTYvBlGjlQtggMHQnw8fP45nD8Pv/yiEhxJbIQjkDE3/yF99MIeZWaqRTq//x6WLYOcHOjaFR54QE05DwrSO0J9OPv1rGmq1MAvv6jWvlOnVIXshx9WLX01a+odoRDFY+w1LcnNfzj7m6Gwf/Hx8PPPalDopk2qy6FzZ+jfH/r2VS0/zsIZr2dNUwODf/lFbSdOQGAg9Ounkpr27WWmk7BfktyYyBnfDIXjunBBVY39+WdVGBBUDZ3+/dWHXfnyuoZncc5yPWua6qLMT2jOnFGtdf36qb91587g4aF3lEKUnFPOlurduzfh4eF4eXlRoUIFhgwZQlxcnN5hCaGb8uVh9GhVN+f8eVVh1tVVFWOrWBE6dFCFAk+f1jtSUVzZ2WqNsmeegcqVoWVLNUC4Rw+1MveFC2rxyh49JLERzsehWm4++ugjWrVqRYUKFYiNjeXZZ58FYOvWrUYfw1m+6QnndvWqmi3zyy/w++/qgzIyUk37vftutaCnu7veUZaco13PsbFq+v/KlSqBSUpSlYPvu0+10LRtK9O2hWOTbilg6dKl9O3bl8zMTNyNfKd2tDdDIW4nKUl9UC5frmrpXLwIAQGqK+POO9VWo4Z9LoZo79dzdrZapHLlSrUdOKDGy9xxx7+lAZo0kTE0wnkYe0077KS/+Ph4fvzxR1q3bn3LxCYzM5PMzMyC/yclJVkjPCFsRqlS6pv/ffdBXp4ajLpihVrUc9w49QEbGvpvotOhg/q/ML/sbNi1C9avV2OkNm+GlBQICVHdSy+/DN26Oe/sNyGM5XAtNy+88AKff/45aWlptGzZkmXLllGmTJmb7j9p0iQmT558w+32+k1PCHNKSVEzrn7/XW3796vbw8NV11Xr1tCmDTRoYJv1UWy95ebKFZXM7Nypxs9s2QKpqeDnp7qYOnRQyUyjRtI6IwQ4ULfUzZKP6+3YsYNmzZoBcOXKFeLj44mOjmby5MkEBASwbNkyDDdpUy+q5SYsLMxm3wyF0NOlS+oDeMsW2LpVfTBnZYGvr+oqad0amjdXXSWVKunflWVLyc2lS+r3tWuXah3btQtiYtR9pUr9m8x07Kh+f7aYLAqhN4dJbq5cucKVK1duuU+VKlXw8vK64fZz584RFhbG1q1badWqlVHns6U3QyFsXUaG+pDeuvXfhOfyZXVfuXJqraJ69dSaWLVrq59ly1ov6dHrej5//t8EJn+LjVX3BQaq5KVp03+3iAhpmRHCGA4z5qZs2bKUNXH54/y87fqWGSGE+Xh5qW6pNm3guedUvZXY2H8/2HfvVnV2Tp9W43lAjRfJT3byE57atdUHvL3M0NI01RJz4oRa1PTkyX//feKEmo0G6rk2bapWcc9PZKpW1b9FSwhHZ/PJjbG2b9/O9u3badu2LaVLl+bUqVO89tprVKtWzehWGyFEyRgMarBxaCj07v3v7ZmZ6kP/yBG1HT0Kf/8NCxao2VqgpjBXqqS20NB/f1aooJKE67eAAMtMec7JgWvXVJXn/O3iRYiLU0lbXBxER6skJiXl38dVqADVqqkkrVcvqFNHJTKVK0siI4QeHCa58fb2ZuHChUycOJHU1FQqVKhAjx49mDdvHp6ennqHJ4RT8/RUK5b/d9VyTVPF5o4eVdvZs3DunNr271c/U1NvPJ7BoBKc/ETHy+vGTdMgLU3tf9996jHZ2YW3nBz1MyNDJTI3mywZHKyKHlasqIrlPfQQVK+uEpqICDXmSAhhOxwmualfvz5//PGH3mEIIYrBYFCtHhUqqIG0/6VpKrn5b2vK9f9PTFQtQxkZ/24JCYXHsHh5gY+PGqTr7v7vlv9/T0+VKJUpU7iFqHRpNUZIKvwKYV8cJrkRQjgeg0FNi/bzg7Cw4j8+KUm17Pz4o5qRJIRwDjI+XwghhBAORZIbIYQQQjgUSW6EEEII4VAkuRFCCCGEQ5HkRgghhBAORWZL/SMqKoqoqChycnIAWR1cCEeQfx3L9SyEY8i/lm+3cpTNry1lbfnrUQkhhBDCNp09e5bQ0NCb3i/JzX/k5eURFxeHv7//TVcSB2jevDk7duwo1rGL+xhLnyN/BfSzZ88avaigLT7v4u5vjedta78nU56zpWOyxjls9XnLtW2ZczjK85b3tJvTNI3k5GQqVqyIyy1Wm5Vuqf9wcXG5ZTaYz9XVtdirDBf3MdY4B0CpUqWMfowtPm9TYgLLPm9b/D1B8Z6ztWJyxuct17blzgH2/7zlPe3WAgICbruPDCg20ZgxYyz+GGucwxrHt/TztvRzNuUctvh7MoU8b9vY39THWPr48rxtY39T2OLfzpzPW7qlnFhSUhIBAQEkJiaa9C3BXjnj83bG5wzyvOV5Owdnfd63Ii03TszT05OJEyc63arpzvi8nfE5gzxved7OwVmf961Iy40QQgghHIq03AghhBDCoUhyI4QQQgiHIsmNEEIIIRyKJDcCgN69exMeHo6XlxcVKlRgyJAhxMXF6R2WRZ05c4ZHHnmEqlWr4u3tTbVq1Zg4cSJZWVl6h2Zxb731Fq1bt8bHx4fAwEC9w7GYL774gqpVq+Ll5UXTpk3ZtGmT3iFZ1MaNG7nnnnuoWLEiBoOBxYsX6x2SxU2ZMoXmzZvj7+9PcHAwffv25ejRo3qHZXHTpk2jQYMGBbVtWrVqxcqVK/UOy2ZIciMA6NSpEz/99BNHjx5lwYIFnDx5kv79++sdlkUdOXKEvLw8ZsyYwcGDB/noo4+YPn06L7/8st6hWVxWVhYDBgxg9OjReodiMfPnz2fcuHG88sor7Nmzh3bt2tGzZ09iYmL0Ds1iUlNTadiwIZ9//rneoVjNhg0bGDNmDNu2bWPNmjXk5OTQrVs3UlNT9Q7NokJDQ5k6dSo7d+5k586ddO7cmT59+nDw4EG9Q7MJMltKFGnp0qX07duXzMxM3N3d9Q7Hat577z2mTZvGqVOn9A7FKmbPns24ceNISEjQOxSzu+OOO2jSpAnTpk0ruK1OnTr07duXKVOm6BiZdRgMBhYtWkTfvn31DsWqLl++THBwMBs2bKB9+/Z6h2NVQUFBvPfeezzyyCN6h6I7abkRN4iPj+fHH3+kdevWTpXYACQmJhIUFKR3GKKEsrKy2LVrF926dSt0e7du3di6datOUQlrSExMBHCq6zg3N5d58+aRmppKq1at9A7HJkhyIwq88MIL+Pr6UqZMGWJiYliyZIneIVnVyZMn+eyzzxg1apTeoYgSunLlCrm5uYSEhBS6PSQkhAsXLugUlbA0TdMYP348bdu2pV69enqHY3EHDhzAz88PT09PRo0axaJFi4iMjNQ7LJsgyY0DmzRpEgaD4Zbbzp07C/Z/7rnn2LNnD7/99huurq48/PDD2GOvZXGfN0BcXBw9evRgwIABPProozpFXjKmPG9HZzAYCv1f07QbbhOO48knn2T//v3MnTtX71CsolatWuzdu5dt27YxevRohg4dyqFDh/QOyybIquAO7Mknn2TgwIG33KdKlSoF/y5btixly5alZs2a1KlTh7CwMLZt22Z3zZzFfd5xcXF06tSJVq1aMXPmTAtHZznFfd6OrGzZsri6ut7QSnPp0qUbWnOEYxg7dixLly5l48aNhIaG6h2OVXh4eFC9enUAmjVrxo4dO/jkk0+YMWOGzpHpT5IbB5afrJgiv8UmMzPTnCFZRXGed2xsLJ06daJp06Z88803uLjYb2NmSf7ejsbDw4OmTZuyZs0a+vXrV3D7mjVr6NOnj46RCXPTNI2xY8eyaNEi1q9fT9WqVfUOSTeaptnle7YlSHIj2L59O9u3b6dt27aULl2aU6dO8dprr1GtWjW7a7Upjri4ODp27Eh4eDjvv/8+ly9fLrivfPnyOkZmeTExMcTHxxMTE0Nubi579+4FoHr16vj5+ekbnJmMHz+eIUOG0KxZs4JWuZiYGIceU5WSksKJEycK/n/69Gn27t1LUFAQ4eHhOkZmOWPGjGHOnDksWbIEf3//gta6gIAAvL29dY7Ocl5++WV69uxJWFgYycnJzJs3j/Xr17Nq1Sq9Q7MNmnB6+/fv1zp16qQFBQVpnp6eWpUqVbRRo0Zp586d0zs0i/rmm280oMjN0Q0dOrTI571u3Tq9QzOrqKgorXLlypqHh4fWpEkTbcOGDXqHZFHr1q0r8u86dOhQvUOzmJtdw998843eoVnUiBEjCl7b5cqV07p06aL99ttveodlM6TOjRBCCCEciv0OMBBCCCGEKIIkN0IIIYRwKJLcCCGEEMKhSHIjhBBCCIciyY0QQgghHIokN0IIIYRwKJLcCCGEEMKhSHIjhBBCCIciyY2wS/mrXNsSW4xJT7b++6hSpQoGg4EzZ87ocv6OHTtiMBhYv369Lue/mZYtW1K2bFlSUlIK3W7rf09TfPfddxgMBr766iu9QxFmJsmNEE5s7969TJo0icWLF+sdivjH+vXrmTRpki5Jz88//8xff/3F+PHj7WKNsbS0NLy9valbt65Jjx88eDARERFMnDiRtLQ0M0cn9CTJjRBmUqtWLWrVqqV3GMWyd+9eJk+eLMmNDsLDw6lVqxY+Pj6Fbl+/fj2TJ0+2enKTl5fHK6+8QqlSpXjyySetem5TrVmzhoyMDHr16mXS493c3Hj++eeJi4vjs88+M3N0Qk+S3AhhJkeOHOHIkSN6hyHsxHfffceRI0do0aKF3qEAsHr1ao4fP06/fv0oVaqU3uEYZdmyZQAmJzcAAwcOxNPTk2nTppGXl2eu0ITOJLkRQgjBzJkzARg0aJDOkRhH0zRWrFhBUFAQrVu3Nvk4AQEB9OjRg+joaNasWWPGCIWeJLkRdm/lypW0b98ef39/AgIC6NmzJ3v27Lnp/levXuX555+nVq1aeHt7U7p0aTp27MiPP/6Ipmk37D979mwMBgPDhg0jNTWVl19+mZo1a+Ll5UXHjh0L9itqwOWwYcMKbr/ZVqVKlRvOGRMTw+jRo6latSqenp6ULVuWnj17snLlyiKf06RJkzAYDEyaNInExETGjRtHeHg4np6eVK9enTfeeIOcnJxCj6lSpQrDhw8H4Ntvvy0U0/XP68KFC3z22Wd0796dKlWq4OXlRenSpenQoQPff//9TX/PxZGbm0v58uUxGAzs3LnzpvtNmDABg8HA+PHjb7hv+/btDBw4kEqVKuHh4UFISAgDBgy45WvhZrKzs/nss89o0aIFpUqVwtfXl4YNG/LWW2/dcmxGWloa77//Pi1btiQwMBAfHx9q1KjBkCFD2LBhQ6F9ixpQbDAYmDx5MgCTJ08u9DcZNmwYCQkJeHt74+7uzsWLF28aR69evTAYDERFRRn1fFNTU1m+fDleXl507tzZqMfk0zSNp556CoPBQPXq1YmOjgbgzJkzhV7fX331FY0bN8bHx4dKlSrx1FNPkZycDKi//wcffEDdunXx9vYmNDSUF198kaysrJued/fu3cTFxdGjRw9cXV0Lbo+Ojubxxx8nIiICT09P/P39iYiIoF+/fsybN6/IY+W3/MyfP79Yz13YME0IOwRogDZt2jTNYDBoFSpU0Jo0aaL5+vpqgObn56cdPnz4hscdP35cCwsL0wDNw8NDa9KkiRYREVFwvIcffljLy8sr9JhvvvlGA7T7779fa9KkiWYwGLQ6depojRs31rp163ZDTNd76623tDZt2hS5Va5cWQO0ypUrF3rMtm3btMDAQA3QfH19taZNm2qhoaEFx3/11VdveF4TJ07UAG3cuHFanTp1NDc3N61Ro0ZalSpVCh736KOPFnpM//79tRo1amiAFhwcXCi2J598smC/N954QwM0b29vrVq1alqzZs208PDwguOOGjXqln8jY40dO1YDtPHjxxd5f15enlapUiUN0LZv317ovg8//FAzGAwaoAUFBWmNGzfWypQpowGau7u7tmDBghuOl//7P336dKHb09LStM6dOxfEX6dOHa1Bgwaai4uLBmiNGjXSrly5csPxoqOjtTp16hQ8rkaNGlqTJk20oKAgDdA6dOhQaP8OHTpogLZu3bqC29q0aVPw+gwLCyv0N3nrrbc0TdO0QYMGaYD2wQcfFPl7unDhgubm5qZ5eHhoV69eLXKf/1qzZo0GaK1atbrpPkX9PXNycrRhw4ZpgFavXj3t/PnzBfedPn264PU9fvx4DdCqVaum1atXT3Nzc9MArXPnzlpubq7Wt2/fgt91rVq1Cv6WDz/88E3jmTRpkgZoc+bMKXTOsmXLaoDm4+Oj1a9fX2vUqFHB36Bhw4ZFHmvfvn0F8QnHIMmNsEv5b7Q+Pj7aN998U3B7UlKS1qVLFw3QHnjggUKPycvL05o1a1bwQXPhwoWC+1auXFmQGH3xxReFHpef3Li6umo1a9bUDh06VHBfenr6DTEZ4+LFiwUfYlOnTi24PTU1tSBxuP/++7WkpKSC+2bPnq25urpqgLZixYpCx8tPbtzd3bX27dtrsbGxBfctXbq04HH/Tfjyn9vQoUNvGuumTZu0P/74Q8vJySl0+759+wo+zNevX3/D44qb3Pz5558aoFWqVEnLzc294f7169drgFa9evVCt69cuVIzGAxa2bJlb0hivvrqK83NzU3z9/fX4uLiCt13s+RmwoQJGqBVrFhR27VrV8Htx48f12rXrl3wt7leTk6O1rRpUw3QmjVrVug1ommatmfPnhteV0UlN5r2799y4sSJN/wONO3fRKRBgwZF3v/BBx9ogNa/f/8i7y/K5MmTNaBQUvtf//17ZmZmavfdd58GaC1atLghkcpPbtzc3LSAgADt999/L7jvwIEDBcln3759tdDQUG3Pnj0F969bt07z8PDQAO3gwYNFxtOsWTPN1dVVi4+PL7jtySefLHg9JycnF9r/8OHD2owZM4o8Vk5Ojubt7a0BhRI0Yb8kuRF2Kf+NduzYsTfct3//fg3QAgICCt2e/6Hg6elZ5BvYu+++W/BN8/rWm/wEACj0YXezmG4nKytLa9eunQZoAwcOLHTfl19+qQFaSEhIocQp3xNPPKEBWrt27Qrdnv+B6O3trZ09e/aGx917770aoH344YeFbjcmubmV33//XQO0xx577Ib7ipvcaJpW0IpWVLL0+OOPF9ly1aRJEw3QlixZUuQx85OV119/vdDtRSU3iYmJmo+PjwZoixYtuuFY27dv1wDNYDBoJ06cKLj9p59+KmgBK6pVpyimJjd5eXkFLXLXJwT5GjRooAHasmXLjIpD0zRtxIgRGlDQOlSU6/+eqampWvfu3TVA69ixY6EkPF9+cgNoH3300Q33v/TSSwX3F/W7HjhwYJGvWU3TtPPnz2sGg0Fr3759odvzY9q3b99tnvGN8l8P27ZtK/Zjhe2RMTfCrj366KM33Fa/fn28vLxITEzk6tWrBbf/9ttvAAwYMIDy5cvf8LhRo0bh6elJdHQ0R48eveH+unXr0qRJkxLHPHbsWDZt2kSTJk2YNWtWofvyY3zsscfw8vK64bFPP/00AFu3biU1NfWG+3v06EFoaOgNtzdv3hyAU6dOmRRzcnIyX375JUOHDqVbt260a9eOtm3b8uKLLwKwb98+k477X/mDWefOnVvo9pycHH755RdA1SbJFx0dze7duwkODqZ3795FHjP/9v+OeSnK5s2bSUtLIzw8nD59+txwf/PmzWnVqhWaphUafLpkyRIARowYQZkyZW57npIwGAwMHToUUGOlrrd37172799P+fLl6dGjh9HHvHLlCgBBQUG33TcxMZHu3buzevVq7r77blauXIm/v/8tHzNixIgbbmvUqFHBOfv27XvD/Y0bNwaKfs0uX74cTdNumCUVFhYGwC+//FLk+LlbyX/uly9fLtbjhG2S5EbYtWrVqhV5e7ly5QAKVVk9duwYAJGRkUU+xt/fv+DNMX/f69WpU6dEsQJMmzaNGTNmEBwczOLFi/H29i50/+1irFGjBh4eHuTm5nLy5Mkb7r/Z7yM4OBjghqqzxtizZw+1a9dm5MiRfPfdd6xZs4bNmzezZcuWgsG/8fHxxT5uUfITl19++YXs7OyC23/77TeuXr1Ko0aNqF27dsHtBw4cACAjI4O2bdsWueUPPo6Njb3t+fN//7Vr175pNd78gnHXv0YOHz4MqOq+1jB8+HAMBgNz5swpNFA8P9l56KGHCg2yvZ2MjAwAPD09b7tv586d2bx5MwMHDmTRokVFJuHXK1euXJFTy/Ov0eJcw/luNgV8zJgxuLu788Ybb1C1alVGjRrFjz/+SFxc3G2fV/61mJ6eftt9he2T5EbYNV9f3yJvd3FRL+3rv73lv0nmf9AXJSQkBKBgFocx5zLWpk2bePrpp3F3d2fBggUFidT1bhejwWAoeNMvToxF/T6MkZuby/33309cXBx33XUXGzZs4MqVK+Tk5KBpGsePHwcolIiURGRkJA0bNuTq1auFWkbyW3Kub7UB1YoAkJSUxJYtW4rcdu3aBRj3oWXqayQpKQmAwMDA257DHCpXrkznzp25dOlSwQy6nJwc5syZA6hZesWR32qRkJBw231PnDgBqBZSd3f32+7/3yKF+fKTx9vd/9/XbFZWFr///jsRERE3fOFo1KgRGzdupFu3bsTGxjJjxgweeughQkND6d69e0ESWpT8BL1s2bK3fU7C9klyI5xGfjn5S5cu3XSf/Om1t2tmL66YmBjuu+8+srOz+fzzz2nbtq1JMWqaVtBsbu4Yi7J9+3ZOnDhB5cqVWbhwIe3bt6dMmTIFrQJnz541+zn/2zWVnp7OkiVLMBgMDBw4sNC++b+vNm3aoKkxhDfdjFlDytTXSP6/jUkOzCW/qye/tWblypVcunSJZs2aFXs5gvxkzpgWuJUrV+Ln58crr7zCxx9/XLygzWDdunWkpKTctHBfy5YtWb16NdeuXWPVqlW88MILhIaG8ttvv9G1a9eb/o3yn3v+lwdh3yS5EU6jZs2aABw6dKjI+5OTkws+rPP3NYf09HT69u3L5cuXeeKJJxg5cqTJMR4/fpysrCxcXV1v2pxfHLdbCDE/IWjatGmRXRbmGmtzvUGDBmEwGFi8eDHp6en8+uuvJCcn07Zt2xtau/K77w4fPmyW6rL5v//Dhw/ftJXr4MGDhfaFf7uqtm3bVuIYjF2c8t577yUwMJBff/2V+Ph4Zs+eDRS/1Qb+Hf9yq5aNfK1bt2bZsmX4+PjwzDPP8MUXXxT7fCVhbFViPz8/unfvztSpUzly5AjVqlUjNja2yFpRV69e5dKlS/j4+NjdEiqiaJLcCKfRvXt3QC0OeOHChRvunzFjBpmZmVSuXNmsb3AjRoxgz549dOjQgU8++cSoGL/88suCcRDX+/TTTwHVUlHSbjK4/TiD/PuLKhiXnZ1tkW/u4eHhtGnThpSUFH799deCFpyiKufWqFGDevXqER8fz3fffVfic7dt2xYfHx/Onj1bMEj4ejt37uTPP//EYDDQtWvXgtvzB8TOmjWrxOOPjB374eXlxaBBg8jKyuLzzz9n2bJleHh4mFRhOL8l8VYFFK/XoUMHlixZgpeXF08++SRff/11sc9pquXLl+Pv70+HDh2MfoyPjw/169cHKHL8zfbt2wHV6mNMV5uwfZLcCKfRuXNnmjdvTmZmJoMGDSrU9fDbb78VVIZ98cUXjf72fDtTp05l3rx5VK5cmV9++QU3N7db7j9o0CDCw8O5ePEiw4YNKzSY8ocffmDGjBkFMZpDREQEADt27Ciy8m7Lli1xc3Njy5YthZKHxMREHnzwwVtWyS2J/LE106dPZ+XKlbi5uTFgwIAi933nnXcwGAyMGTOGr7766oZKzKdOneKtt95i4cKFtz1vqVKlGD16NABPPvlkoerGJ0+eLJildP/99xdqOevbty/NmjXj0qVL3HXXXTfMttu3bx/Tpk0z4pn/+zfZunXrDc/lv/K7pt544w2ysrLo3bu3UTOe/qtGjRpUrVqV6Ohozp07Z9Rj7rzzThYuXIi7uzsjR47khx9+KPZ5i+vgwYOcPn2arl274uHhccP9o0ePZv78+Te8ljdu3MjatWsBipzxuGXLFgC6detmgaiFLqw++VwIM+A2NVRuVqDt+PHjBdV+PT09tSZNmmjVq1cvON6QIUNuWqH4drVgioopP44qVarctFLxf4utbdu2TQsICNBAVShu1qxZQcE/QPvf//53w7lvVxvlZs8hNze3oEpxmTJltFatWmkdOnTQnn766YJ9nn322YJzh4eHa02bNtW8vb01d3d3bdq0aQW1gYz5fRjr8uXLBVVsAa1nz5633P/zzz8vKFTo7++vNW3aVGvWrJkWEhJScIxp06YVesytKhR36tSp4HGRkZFaw4YNC47fsGHDm1YorlWrVsHjatasqTVt2rSgWJ0xFYo1TdXaKV26tAZoFSpU0Nq0aaN16NBBmzJlSpHPPb+uDcWsbfNf+ZWo33///SLvv9nfc/HixZq7u7vm6uqqzZ8/v+D26ysUF2XdunVF/l7yFfWanTp1qgZos2bNKvIxDRs2LCgcWKdOHa1FixYFf2dAe+ihh4p8XI0aNTQ3N7cbCj0K+yXJjbBLpiY3mqY+OJ999lmtRo0amqenp1aqVCmtffv22vfff39DYqNp5klubrUV9eZ/5swZ7fHHH9cqV66seXh4aKVLl9a6deumLV++vMhzm5rcaJqmHTt2TOvfv78WHBxc8AF+/QdOXl6e9vHHH2u1a9fWPDw8tLL/b++OQZIJ4ziO/zWJ0iCIipoCoUkaMmlJaIyCcAq0xUVaXRqEpiKICAJb2wwadGtqCtJFcdSlpanQpSaDKOL3Tq/UWxpiL+nx/az38Ofg7rgfzz3P/8bHtb6+rmKx2PYF1k24kaS1tbVmjbOzs2/HVyoVJRIJ+f1+DQ0NaXR0VIFAQLFYTLlcTk9PTx/Gt7tHXl5elE6nFQqF5PP5NDw8rLm5Oe3v73+q816j0dDBwYGCwaBGRkbk9Xo1OzureDyufD7/YWyrcCNJ5XJZq6urGhsba/72odX9d3x8LDPT1NTUpy7Snbi/v5fH49H8/PyXx9tdz1wup4GBAXk8nmZDvv8RbsLhsFwu14fu4u9dXV0pmUwqGAxqYmJCg4ODmpmZ0crKii4uLr58vsvlssxMkUjky5roTy6pw72hAICekUql7PDw0La3t+3o6KirWltbW3Z6emqFQqHljr7f8vj4aJOTk7awsGClUunH6sbjcctkMlYqlWxxcfHH6uJ3seYGAPrU6+trcy3U3z+8d2N3d9e8Xq/t7e11XeunXV5e2tvb27e7pDpxe3tr5+fntrGxQbBxmParGwEAPevk5MRqtZotLy+37GrdienpactkMlatVq3RaDT7/vSCzc3NT00cu3V3d2c7OzvNheJwDj5LAUAfqdfrFo1G7eHhwarVqrndbsvn87a0tPTbpwb0DD5LAUAfeX5+tuvra7u5ubFAIGDZbJZgA/yDmRsAAOAozNwAAABHIdwAAABHIdwAAABHIdwAAABHIdwAAABHIdwAAABHIdwAAABHIdwAAABHIdwAAABH+QPxg1UTMruOZwAAAABJRU5ErkJggg==", + "text/plain": [ + "Graphics object consisting of 2 graphics primitives" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "![exph.png](attachment:exph.png)" + "c11, c12, c13, c22, c23, c33, c44, c55, c66 = var('c11,c12,c13,c22,c23,c33,c44,c55,c66')\n", + "M = matrix([\n", + " [c11, c12, c13, 0, 0, 0],\n", + " [c12, c22, c23, 0, 0, 0],\n", + " [c13, c23, c33, 0, 0, 0],\n", + " [0, 0, 0, c44, 0, 0],\n", + " [0, 0, 0, 0, c55, 0],\n", + " [0, 0, 0, 0, 0, c66]\n", + "])\n", + "\n", + "n1, n2, n3 = var('n1,n2,n3') # components of the normal vector\n", + "A = matrix([\n", + " [n1, 0, 0, 0, n3, n2],\n", + " [0, n2, 0, n3, 0, n1],\n", + " [0, 0, n3, n2, n1, 0]\n", + "])\n", + "\n", + "V = M.substitute(c12=c11-2*c66, c22=c11, c23=c13, c44=c55)\n", + "C = A * V * A.transpose()\n", + "\n", + "# Convert map object to a list\n", + "e3 = list(map(lambda x: x.full_simplify(), C.eigenvalues()))\n", + "\n", + "# Substitute and simplify expressions\n", + "vp(n1) = e3[1].substitute(n2=0, n3=sqrt(1-n1^2))\n", + "vsv(n1) = e3[2].substitute(n2=0, n3=sqrt(1-n1^2))\n", + "\n", + "# Switch vp and vsv due to a Sage bug\n", + "vptrue = vsv\n", + "vsvtrue = vp\n", + "\n", + "# Parametric plot for P-wave and SV-wave velocities\n", + "ppx = (sqrt(vptrue(sin(x))) * sin(x)).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51)\n", + "ppz = (sqrt(vptrue(sin(x))) * cos(x)).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51)\n", + "pp = parametric_plot([ppx, ppz], (x, 0, 2*pi))\n", + "\n", + "psvx = (sqrt(vsvtrue(sin(x))) * sin(x)).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51)\n", + "psvz = (sqrt(vsvtrue(sin(x))) * cos(x)).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51)\n", + "psv = parametric_plot([psvx, psvz], (x, 0, 2*pi), color='green')\n", + "\n", + "# Combine the plots\n", + "p = pp + psv\n", + "\n", + "# Show the plot\n", + "p.show(frame=True, axes_labels=['horizontal velocity (km/s)', 'vertical velocity (km/s)'])" ] }, { @@ -337,16 +473,90 @@ ] 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NZvp9cQ4AAK6Ojg6YwLnS0QEAMBMOD/PgwRhlHT/8kMVFawMAAKpKRwcAADBjRqP89a9jVHO8eJGNDWsDAKgYHR0AAACzaWMj3W4ajVLDx8e5dSuHh9YGAAAAAADw6R0e5tatMao5zs/FOQAA+AR0dMAEzpWODgCA2dLpZGur7HCzmefPlXUAAADVo6MDAACYDUWR//iPHByUnW+302pZGwBAVVX9cluiA67ie8FBAwCouuEwrdYYrdxv32Z11doAAIAqkegAAABmwNlZ7t7NYFBquNFIp5OlJWsDAKiwql9uX/cRAgAAXGhpKW/eZG+v1PBgkHo9OzspCpsDAAAAAAC4CkWRnZ3U62XjHHt7OToS5wAA4BPT0QETOFc6OgAAZlevl3v30u2WGlbWAQAAVIiODgAAoLrG+gWnXs+rV1letjYAgFmgowMAAGCOLC/n9HS8so6nT5V1AAAAAAAATERRZH8/Kytl4xy7uzk9FecAAGBa6OiACZwrHR0AAHPg7Cx375at7faqJwAAYPrp6AAAACpnOEyjoVwdAGCu6egAAACYR6ur6fezvV1quNvNykr295V1AAAAAAAAXI5OJzdulI1zbG+n3xfnAABg6ujogAmcKx0dAADzZKyyjkYjnU6WlqwNAACYOjo6AACAqhgO02rl+LjUcK2Wly+ztmZtAACzSUcHAADAXFtdzfl5ms1Sw8fHuXEjnY61AQAAAAAAfIzDw9TrZeMczWbOz8U5AACYXjo6YALnSkcHAMBcOjzMgwfKOgAAgKrS0QEAAEy50SgPH+bgoOz869fZ2LA2AIAZV/XLbYkOuIrvBQcNAGBOjEb561/H6Ph+8cIPCQAAwLSQ6AAAAKbZ2Vnu3vVqLQAA/lXVL7ev+wgBAAAuy+Jijo7SbpcaHgyyuZlWK6ORzQEAAAAAAPy2osjOTur1snGOdjtHR+IcAABUg44OmMC50tEBADD3hsO0Wso6AACAKtHRAQAATKFeL599VjbLUa/n1assL1sbAMAc0dEBAADAv1paGrusY2cnRWFzAAAAAAAASVIU2d/PykrZOMfeXk5PxTkAAKgYHR0wgXOlowMAgP9fr5d799Ltlhqu1fL2bVZXrQ0AAPgEdHQAAADTY9xfWH76SZYDAGBO6egAAADgdy0v5/Q0e3ulhgeD1OvKOgAAAAAAgLnW6WRlpWycY3s7/b44BwAAVaWjAyZwrnR0AADwgV4vn31Wtha8Xs+rV357AAAArpSODgAA4JMbDtNq5fi41LDycwAAoqMDAACAMpaX0+9ne7vUcLeblZXs7yvrAAAAAAAA5sXhYW7cKBvnaDZzfi7OAQBA5enogAmcKx0dAAD8vrOz3L07RlnH8XGWlqwNAACYOB0dAADApzIa5eHDHByUGq7V8uJFNjasDQCAREcHAAAAY1ldTb+fZrPUcLebGzfS6VgbAAAAAAAwm05OcutW2ThHo5FuV5wDAIDZIdEBAABw1RYW0unk9evUaqXmt7Zy506GQ5sDAAAAAABmR1FkZyfr62W7zdvtHB3pNgcAYKZcU5YNl3+uPujucdAAAPhNY3WIJ2m302pZGwAAMBFVL6YHAACq5ewsd++WzXI0Gul0ZDkAAPgNVb/c1tEBAADwySwu/rOso6StrbRaGY1sYGAT6gAAIABJREFUDgAAAAAAqKqiyNOnqdfLxjn29vLmjTgHAACzSUcHTOBc6egAAGBMw2FarRwflxqu1fLiRTY2rA0AALhMOjoAAIAr0Ovl3r10u6WG6/W8epXlZWsDAOB36egAAADgj1paytFR2u1Sw4NBNjfTaqUobA4AAAAAAKiM/f2srJSNc2xv5/RUnAMAgBmnowMmcK50dAAA8LGGwzQaZX/JqNXy9m1WV60NAAC4BDo6AACAyRm3rtwvIAAAlKSjAwAAgEuztJTT0+ztlRoeDFKvZ2dHWQcAAAAAADC9Op3cuFE2ztFspt8X5wAAYF7o6IAJnCsdHQAA/GG9Xu7dG6Os46ef1I4DAAB/iI4OAADg0o1GefgwBwelhmu1vHiRjQ1rAwBgDDo6AAAAuHzLyzk9zfZ2qeHBICsr2d9X1gEAAAAAAEyLw8PculU2ztFs5vxcnAMAgLmjowMmcK50dAAAcHnOznL3bgaDUsP1el69UtYBAAB8DB0dAADAZSmK/Md/lM1yJGm302pZGwAAH0NHBwAAABO0upp+v2xZR7f7z7IOAAAAAACAT+LsLDdvlo1zNBp5/16cAwCA+SXRAQAAMO0WFvLdd/nxx9RqpeYfP86dOxkObQ4AAAAAALg6RZGdndTrZbvH9/ZydJSlJZsDAGB+XVOWDZd/rj7o7nHQAAC4FKNRHj7UUQ4AAExE1YvpAQCAT6vXy7176XZLDdfrefUqy8vWBgDAH1X1y20dHQAAAJWxuJhOJ69fly3r2NrKnTsZjWwOAAAAAACYlKLI06dZWSkb59jdzempOAcAACQ6OmAi50pHBwAAEzYcptXK8XGp4VotL15kY8PaAACAf0dHBwAA8BHOznL3bgaDUsO1Wt6+zeqqtQEAcGl0dAAAAHDVlpZydJR2u9TwYJDNzbRayjoAAAAAAIBLMxplZyf1etk4x/Z2+n1xDgAA+H/o6IAJnCsdHQAAXJVxyzq8+AoAAPg9OjoAAIDyDg/z4MEY1RwvX2ZtzdoAALh8OjoAAAD4ZJaW8uZN9vZKDQ8Gqdezs5OisDkAAAAAAOBj/ONtU5ubZeMczWbOz8U5AADgt+nogAmcKx0dAABcuV4v9+6l2y01rKwDAAD4kI4OAADgQp1OtrbGmH/9Ohsb1gYAwATp6AAAAODTW17O6el4ZR1PnyrrAAAAAAAASun1cufOGHGOZjPv34tzAADABXR0wATOlY4OAAA+nbOz3L1btui8Xs+rV1letjYAAEBHBwAA8NuKIt9/n8ePx3ik3U6rZXMAAFwFHR0AAABMkdXV9PvZ3i413O1mZSX7+8o6AAAAAACA39Dr5fbtMeIczWZ++UWcAwAAytLRARM4Vzo6AACYAso6AACAsejoAAAA/reiyFdf5dmzsvO1Wl68yMaGzQEAcKV0dAAAADCNVldzfp5ms9TwP8o6dnaUdQAAAAAAADk5yc2bY8Q5trfT74tzAADA2HR0wATOlY4OAACmyeFhHjwoW9ZRq+Xt26yuWhsAAMwdHR0AAECS0SgPH+bgoOy8XxYAAPi0dHQAAAAw1TY2xijrGAxSr6fVymhkcwAAAAAAMF8OD3Pr1hhxjr299PviHAAA8PF0dMAEzpWODgAAplKnk62tssO1Wl68UI8OAABzREcHAADMs+EwrVaOj8vO1+t59SrLyzYHAMAnpqMDAACAami18v59Go1Sw4NBNjeVdQAAAAAAwOzrdHLjxhhxjnY7p6fiHAAAcAl0dMAEzpWODgAApttYZR1J2u20WtYGAAAzTkcHAADMoV4v9+6l2y0732ik08nSks0BADAtdHQAAABQMWOVdSTZ2sqdOxkObQ4AAAAAAGZEUWR/PysrZeMctVpev87RkTgHAABcJokOAACAebS0lKOjtNup1UrNHx/nxo3s76coLA8AAAAAAKrt7Cw3b+bx47LzzWbOz7OxYXMAAHDJrinLhss/Vx909zhoAABMrdEoDx/m4KDsfL2eV6+yvGxzAAAwa6peTA8AAJRRFPnqqzx7Vna+VsvLl1lbszkAAKZU1S+3dXQAAADMtcXFdDp5/bpsWUe3m5WVPH2qrAMAAAAAACrm8DA3b44R59jeTr8vzgEAABOkowMmcK50dAAAUEEf8VKut2+zumpzAAAwI3R0AADADPuIyu6//92vAAAAVICODgAAAGbBwkK++y7dbtmyjsEg9Xp2djIaWR4AAAAAAEyvTie3bo0R59jby+mpOAcAAFwFHR0wgXOlowMAgCorinz/fR4/Ljtfq+XFi2xs2BwAAFSbjg4AAJg9w2FarRwfl51vNPL8eZaXbQ4AgMqo+uW2RAdc0fdCSY4kAABTotfLvXvpdsvON5t5/jyLizYHAABVJdEBAACzZNz3NyVpt9Nq2RwAANNiTv4l+7pPGgAAgA8tL+f0NHt7ZecPDnLrVjodmwMAAAAAgE+s18vt22PEOZrNvH8vzgEAAJ+Ajg6YwLnS0QEAwAz5iEL2TidLSzYHAAAVo6MDAABmQFHk22/z5EnZ+VotL15kY8PmAACYOnPyL9kSHeDrAwAALtbpZGtrjPl2O59/noUFmwMAgMqQ6AAAgKo7O8vduxkMys43m3n+PIuLNgcAwDSS6AAu7evDQQMAYAaMRnn4MAcHZefr9bx6leVlmwMAgGqQ6AAAgOoajfL113n2rOx8rZa3b7O6anMAAFRe1S+3r/sIAQAAKGNxMZ1OXr9OrVZqvtvNykr291MUlgcAAAAAAJNyeJhbt8aIc+zupt8X5wAAgKmgowMmcK50dAAAMNO86AsAAGaSjg4AAKic4TA7O+q1AQCYazo6AAAAmC+Li/nuu3S7Zcs6BoPU69nZUdYBAAAAAACXptPJjRtjxDn29nJ6Ks4BAADTRaIDAACAj7G6mn4/u7tl5589y82bOTy0OQAAAAAA+EN6vdy5k62tsvONRt6/z6NHWViwPAAAmC7XlGXD5Z+rD7p7HDQAAGZYr5d799Ltlp1vNvP8eRYXbQ4AAKZL1YvpAQBgHhRFvv8+jx+P8Ui7nVbL5gAAmFlVv9yW6ICr+F5w0AAAmG0f9wPS5597GRgAAEwRiQ4AAJhyXrEEAAAfqvrl9nUfIQAAAH/QwkIePcq7d2k0yj6ytZXbt3N2ZnkAAAAAAHCBosjOTlZWysY5arW8fp1OR5wDAACmnUQHAAAAl2N5OUdHabfLzne7qdezs5PRyPIAAAAAAOC3nZzk5s08e1Z2fns7/X42NmwOAAAq4JqybLj8c/VBd4+DBgDAXBkOs7OTg4Oy87Va/va3tFo2BwAAn1LVi+kBAGD2jEZ5+HC8+/a3b7O6anMAAMyRql9uS3TAVXwvOGgAAMyhw8M8eJDBoOx8vZ5Xr7K8bHMAAPBpSHQAAMBUGfeafW8vX36ZhQWbAwBgvlT9cvu6jxAAAIBJ2NjI+XmazbLz3W5WVrKzk9HI8gAAAAAAmF/DYe7cyeZm2ThHvZ537/LokTgHAABUj44OmMC50tEBAAD/y9lZ7t4d4y1itVpevMjGhs0BAMCV0tEBAADToNPJ1tYY8+12Pv9clgMAgPmlowMAAAD+ndXV9PvZ2ys7PxhkczN37qTXszwAAAAAAOZFr5c//3mMOEejkffv02qJcwAAQIVJdAAAADBxCwt59Cjv3qXRKPvI8XFWVvL0aYrC/gAAAAAAmGVFkf39rKyk2y01X6vl9escHWVpyfIAAKDarinLhss/Vx909zhoAADwfx0e5sGDDAZl52u1vHiRjQ2bAwCAyap6MT0AAFTU2Vnu3h3j2rzZzPPnWVy0OQAASKp/ua2jAwAAgCu1sZF+P7u7ZecHg2xuptXKcGh5AAAAAADMjqLIzk7q9bJxjlotP/6YTkecAwAAZoeODpjAudLRAQAAJfR6efgwx8djPLK3ly+/zMKC5QEAwOXT0QEAAFdp3Ebr7e387W9uyAEA4F9V/XJbogOu4nvBQQMAgN/T6eSrr8b4yapWy8uXWVuzOQAAuGQSHQAAcDVGozx8mIODsvP1ev7+96yu2hwAAPyGql9uX/cRAgAA8Am1Wjk/z/Z22fnBIOvrabUyHFoeAAAAAAAV0+nk1q0x4hx7ezk9FecAAICZpaMDJnCudHQAAMD4er3cu5dud4xH2u18/rmKeQAAuBw6OgAAYKLGvQZvNPL8eZaXbQ4AAP4dHR0AAABwCZaX8/PPabfHeGRrK7dv5+zM8gAAAAAAmF6jUXZ2srIyRpyj3c7RkTgHAADMPokOAAAApkirlV9+SbNZdr7bTb2eViujkeUBAAAAADB1Op3cupVnz8rON5t5/z6tls0BAMBcuKYsGy7/XH3Q3eOgAQDAuM7O8sUXY7yuLEm77ScuAAD4eFUvpgcAgGnT6+XevTEuumu1vHiRjQ2bAwCAMVT9cltHBwAAANNodTWnp2m3x3hkayt//nN6PcsDAAAAAOBTGo3SamVlZYw4R7OZ83NxDgAAmDsSHQAAAEyphYW0WvnllzSbZR/pdrOykp2djEb2BwAAAADAVSuKdDr5059ycFD2kVot3W46nSwu2h8AAMwdiQ4AAACm2uJiOp38+GNqtbKPPHuWW7fS6VgeAAAAAABX5+wst29na2uMR3Z30+9nddXyAABgTl379ddfbQEu+Vxdu/Yvf3HQAADgjyuKfP99Hj8e45F6Pa9eZXnZ8gAA4GIfXm7H/TYAAJQzGuXhwzF6OeIGGwAALknVL7d1dAAAAFANCwt59Cjv36fZLPtIt5uVlTx9mqKwPwAAAAAALl9RpNPJn/40RpyjVsvr1/n5Z3EOAABARwdM4lzp6AAAgAk7Ocn9+xkMys7XannxIhsbNgcAAL9LRwcAAIzr7CxffJFud4xHdnfz9ddZWLA8AAC4HDo6AAAA4KqtraXfz+5u2fnBIJubuXMnvZ7lAQAAAADwRw2HabVSr48R52g08u5dvvlGnAMAAPgfOjpgAudKRwcAAFyVXi8PH+b4eIxHvP8MAAB+k44OAAAooyjy/fd5/HiMR/RIAwDA5FT9cluiA67ie8FBAwCAiTo8zIMHGQzKztdqefkya2s2BwAA/0OiAwAALnRykvv3x7iOjtcMAQDAhFX9cvu6jxAAAICq29hIv5/t7bLzg0HW19NqZTi0PAAAAAAALjYcptXK+voYcY5GI+/e5ZtvxDkAAIDfpaMDJnCudHQAAMAn0uvl3r10u2M8sreXL7/0cxoAAOjoAACA31YU+f77PH48xiOaogEA4MpU/XJbogOu4nvBQQMAgKvU6eSrr8Z4TVqtlrdvs7pqcwAAzDWJDgAA+NDJSe7fH+PCOV4kBAAAV6vql9vXfYQAAADMmFYr5+fZ3i47PxikXk+rldHI8gAAAAAASJJeL61W1tfHiHM0m3n/Po8eiXMAAABl6eiACZwrHR0AADAder3cu5dud4xH2u18/rkf2wAAmEc6OgAA4B+KIt9+mydPxnikVsvLl1lbszwAALhqOjoAAABgSi0v5/Q07fYYj2xt5fbtnJ1ZHgAAAADAPDo8zM2b48U59vbS74tzAAAAH0OiAwAAgFm2sJBWK7/8kmaz7CPdbur1tFoZjewPAAAAAGBe9Hq5cyebmxkMyj7SbOb9+zx6pPkZAAD4SBIdAAAAzL7FxXQ6/4xqlHRwkFu30ulYHgAAAADAjCuKPH2alZUcH5d9pF5Pt5tOJ0tL9gcAAHy8a7/++qstwCWfq2vX/uUvDhoAAEyJosj33+fx4zEeqdfz6lWWly0PAIAZ9+HldtxvAwAwBw4P8+DBGL0cSdrtfP65Xg4AAJgKVb/c1tEBAADAHFlYyKNHef8+zWbZR7rdrKxkZyejkf0BAAAAAMyOXi937mRzc4w4R7OZX35JqyXOAQAAXA4dHTCBc6WjAwAAquDkJPfvj/FDXa2WFy+ysWFzAADMJh0dAADMj9EoX3+dZ8/GeKRez9//ntVVywMAgOmiowMAAAAqaW0t/X729srODwbZ3MydO+n1LA8AAAAAoKo6ndy6NV6co93O6ak4BwAAcPl0dMAEzpWODgAAqJThMK1Wjo/HeGR3N19/nYUFywMAYHbo6AAAYOb1erl3L93uGI80m3n+PIuLlgcAAFNKRwcAAABU29JSjo7y+nVqtbKPPHmSmzdzeGh5AAAAAAAVMBplZycrK2PEOer1vHuXTkecAwAAmCCJDgAAAEiSjY30+9ndLTs/GGRzM3fuZDi0PAAAAACA6dXp5NatPHtWdr5WS7udn3/O8rLlAQAAk3VNWTZc/rn6oLvHQQMAgArp9fLwYY6Px3hkby9ffpmFBcsDAKDCql5MDwAAHzo7yxdfjNHLkWR7O99+q5cDAAAqo+qX2xIdcBXfCw4aAABUzuFhHjzIYFB2vlbLy5dZW7M5AACqSqIDAIBZMhrl4cMcHIzxSL2eV6/0cgAAQMVU/XL7uo8QAAAAPrSxkfPzbG+XnR8Msr6eVivDoeUBAAAAAHwyRZFOJ3/60xhxjlot7XZ+/lmcAwAAuGo6OmAC50pHBwAAzJBeL/fupdsd45G9vXz5ZRYWLA8AgCrR0QEAwAw4O8sXX4x3o7u9nW+/zeKi5QEAQCXp6AAAAIBZtrycn39Ou51arewjjx/n9u2cnVkeAAAAAMAVGY3SaqVeHyPO0Wjk3bt89504BwAA8Mno6IAJnCsdHQAAMItGozx8mIODMR5pNvP8ud8CAQCoBh0dAABUVFHkv/87W1tjPFKr5cWLbGxYHgAAVJ6ODgAAAJgLi4vpdNLtpl4v+8jBQf70p3Q6KQr7AwAAAAC4fCcnuX17vDjH7m76fXEOAABgKujogAmcKx0dAAAw0z7ifW/1ev7P/8namuUBADC9dHQAAFAtw2F2dsbrVW408vx5lpctDwAAZoeODgAAAJgvCwtptfLLL2k2yz7S7WZ9Pa1Wej37AwAAAAD4Q4oi+/u5cWOMOEetltevc3QkzgEAAEwXHR0wgXOlowMAAObG2Vnu3s1gMMYju7v56qssLloeAADTRUcHAACVcHKS+/fHvpX9+ussLFgeAADMIB0dAAAAML9WV9PvZ29vjEeePMmtW+l0UhT2BwAAAABQ1nCYVivr62PEOZrNvHuXb74R5wAAAKaUjg6YwLnS0QEAAPNnOMzOTg4OxnikVsvLl1lbszwAAKaCjg4AAKZWUeT77/P48RiPuIAFAIA5UfXLbYkOuIrvBQcNAADmxMlJ7t8f4/1wSRqNPH+e5WXLAwDgE5PoAABgOn3EveveXr78Ui8HAADMhapfbl/3EQIAAMBlWVtLv5/d3TEeOT7Oykp2djIa2R8AAAAAwP/o9XLnTtbXx4hzNJt5/z6PHolzAAAA1aCjAyZwrnR0AADA3Ov18vXXOTgY76l2O59/7odGAAA+DR0dAABMj6LIt9/myZMxHqnV8vJl1tYsDwAA5kvVL7clOuAqvhccNAAAmE8nJ/nP/0y3O8YjfnQEAOBTkegAAGBKHB7mwYMxejmS7O3lyy+9LgcAAOZR1S+3r/sIAQAAYELW1nJ6mnY7tVrZRwaDrK/nzp30evYHAAAAAMyXXi937mRzc4w4R7OZX37Jo0fiHAAAQCVJdAAAAMAELSyk1Uq/n93dMZ46Ps7KSlqtjEZWCAAAAADMvqLI06dZWcnxcdlH6vV0u+l0srhofwAAQFVdU5YNl3+uPujucdAAAIAkw2F2dnJwMN5Te3v58kuvlwMAYOKqXkwPAEBFFUX++7/z1Vdj9HIkabfz+ecuTgEAgMpfbkt0wFV8LzhoAADA/3V2li++SLc7xiO1Wl68yMaG5QEAMEESHQAAXL2Tk/znf453X9ps5vlzvRwAAMA/Vf1y+7qPEAAAAK7S6mp+/jntdmq1so8MBtnczJ//nF7P/gAAAACAWdDrpdXK+voYcY56Pd1uOh1xDgAAYHZIdAAAAMAn0Gql38/u7hiPdLtZWUmrldHI/gAAAACAqhqNsrOTlZUcHIzxVLud09OsrtofAAAwUyQ6APj/2Lub0DjTM13AdzealXqrQ20aZJjFZMDlA2eCIGUwQ9QOZBqMmaCm5MZgThsi+4wao4WxDZGrwRZeCNPKsTXgPhhM28JigjF0MoyjMGNwDZgQiEuLzKKhazADIlpOajUFOQvlb/qvXD8q1c91Ldu8L/Qjngd9n777fQEAOBgTE/nBD/LrX6dcbmPVxkbeeCMffJBmUwkBAAAAgGHSbOb//t+88UbW1tpYtbiY3/wm8/OZmFBCAABg1Lz229/+VhWgx3312muf+y8aDQAA+Hr1ek6cSK3WxpJCIaurmZ9XPAAAeuOLL7fj/TYAAL3z4EGWlrKz08aSYjGPH2d6WvEAAICvNOwvt93RAQAAAAdvejovXuTHP06h8KpLdnZy6lSOHMn2tvoBAAAAAINreztHjuTUqTbiHIVC7t/PixfiHAAAwIiT6AAAAIBB8d3v5uXL/PCHbSyp1VIsZn4+u7vqBwAAAAAMlno98/MpFtu7oLhSyaefuqAYAAAYC6+5LBt631dfuLtHowEAAG1pNHL2bDY22ltVqeTy5UxMqB8AAJ0Y9ovpAQAYKI1GVlezvNzeqnI516+7lwMAAGjDsL/cluiAfswFjQYAAHSgXs+JE+2dXVcoZHU1c3NyHQAAtE2iAwCAnmg2s7mZU6faW1Us5vbtlErqBwAAtEeiA2g9FzQaAADQsWo13/tednbaWOJvnwAAdECiAwCA7nXwPnPvnJr5ecUDAAA6Mewvt1/3IwQAAIBBVirl5cvcv9/GklotR49mfj71uvoBAAAAAP1Qr+fIkRw92l6c44c/zMuX4hwAAMD4kugAAACAQTcxkfn5/OY3WVxsY9XGRg4dygcfpNFQQgAAAABgv+zuZn4+hw6lVmtj1eJifvOb/J//k4kJJQQAAMbXay7Lht731Rfu7tFoAABAr9TrOXs2W1ttLCkUsrqauTl/GQUA4OsM+8X0AAD0X7OZ69ezvNzeqtnZ3LmT6Wn1AwAAemDYX25LdEA/5oJGAwAAeqtazfe+l52dNpYUi7l9O6WS4gEA8OUkOgAAeHXNZjY3s7TkLSUAAHDAhv3l9ut+hAAAADB0SqW8fJn791MovOqSWi1Hj+att1Kvqx8AAAAA0LlqNf/rf+XUqTbiHIVC7t/PL34hzgEAAPDfSHQAAADAUJqYyPx8Pv00lUobq7a2cuhQ3n8/jYYSAgAAAADtqdfz1ls5ejS1WhurKpW8fJn5+UxMKCEAAMB/85rLsqH3ffWFu3s0GgAAsK/q9Vy+nI2N9lbdv5+5OX9DBQDgd4b9YnoAAPZVo5HLl7O21t6qcjkffpipKfUDAAD2y7C/3JbogH7MBY0GAAD0QbWac+faOxuvUMg//ENKJcUDAECiAwCAL9ds5u//Pn/3d+2tKhbz+HGmp9UPAADYX8P+cvt1P0IAAAAYDaVSfvGL3L+fQuFVl+zs5OjRHDmSel39AAAAAIDPe/Agb77ZXpyjUMizZ3nxQpwDAACgNYkOAAAAGB0TE5mfz6efplJpY1WtlkOHMj8v1wEAAAAA/E61miNHcupUdnbaWHX/fl6+dC0wAADAq5LoAAAAgFEzOZkf/CC//nXK5TZWbWzk0KG8/34aDSUEAAAAgPFVr2d+PkePplZrY1Wlkt/8JvPzmZhQQgAAgFf12m9/+1tVgB731Wuvfe6/aDQAAOCgbG/n3Xfb+8trkkolS0uZnFQ/AIAx8sWX2/F+GwBgzDQaWV3N8nJ7q8rlXL+e6Wn1AwAADsCwv9yW6IB+zAWNBgAAHKwHD7K0lJ2d9lbdv5+5OSfqAQCMC4kOAIBx1mxmczOnTrW3qljMxx/n8GH1AwAADsywv9x+3Y8QAAAARt78fF6+TKXS3qpTp/Lmm3nwIM2mEgIAAADAaGo28+BB3nyzvThHoZD79/PihTgHAABAV9zRAfvQV+7oAAAABtXubt5/Pxsb7a0qFnP7dkol9QMAGGXu6AAAGEPVas6dS63W3qof/jDf/77bfQEAgIEw7C+3JTqgH3NBowEAAANlezvvvtv2n2mLxXz8sSP3AABGlkQHAMBY6ewl4eJirl/P5KT6AQAAg2LYX26/7kcIAAAA4+bw4bx4kWfPUiy2sapWS7GY+fnU60oIAAAAAMOqXs/8fIrF9uIc5XI++ywffijOAQAA0Evu6IB96KsvS3q9Ii0JAAD0U7OZzc0sLWVnp72F5XLu3PG3WwCAkeKODgCAkbe7m/ffz8ZGe6uKxdy+nVJJ/QAAgL4ak0+y3dEBAAAA42tiIvPzefky9++3t3BjI2+8kQ8+SKOhigAAAAAw6BqNfPBB/sf/aC/OUSjk/v384hfiHAAAAPvFHR2wD33ljg4AAGAINRpZXc3yctsLf/jDfP/7mZhQQgCA4eaODgCAkdRs5vr1Tt77VSq5fNl7PwAA4MCMySfZEh1gfAAAAPxRo5HLl7O21t6qQiGrq5mb8/ddAIAhJtEBADBims1sbmZpKTs77S0sl3PnTiYnlRAAADhIEh2A8QEAAIypej2XL2djo71VhUL+4R9SKqkfAMBQkugAABglDx50mOW4fj3T0+oHAAAcPIkOoGfjQ6MBAADDqF7PiROp1dpbVSzm9m25DgCA4SPRAQAwGqrVnDvXyWu9x49lOQAAgOEz7C+3X/cjBAAAAL7U9HRevMizZykW21hVq+Xo0czPp15XQgAAAADon3o9R47k6NH24hzFYp49y4sX4hwAAAAHQKIDAAAA+DqlUl68yP37KRTaWLWxkUOHMj+f3V0lBAAAAID9Va9nfj6HDrWX5SgU8uMf58ULN+4CAAAcmNdclg2976sv3N2j0QAAgBHQbGZzM0tL2dlpb2GlkqWlTE4qIQDAQBv2i+kBAMZTo5GzZ7Ox0d6qQiGrq5mby8SEEgIAAMNt2F9uu6MDAAAAeCX+YJjWAAAgAElEQVQTE5mfz6efplJpb+Hyct54Ix98kGZTFQEAAACgNxqNfPBB3nij7ThHpZKXLzM/L84BAABw8NzRAfvQV+7oAAAARl2jkdXVLC+3t8rJfwAAg8wdHQAAw6LZzN//ff7u79pe6DZdAABg9Az7y22JDujHXNBoAADASKrXc/ly20cAFgr5f/8v3/2u+gEADBaJDgCAwddsZnMzS0vZ2WlvYbmcDz/M1JQSAgAAo0aiA2g9FzQaAAAwwur1nD2bra32VhWLuX07pZL6AQAMCokOAIABV63me9/rJMtx/Xqmp9UPAAAYTRIdQOu5oNEAAICRV63m3LnUau2tmp3NnTv+nAwAMBAkOgAABlZnL9+KxXz8cQ4fVj8AAGCUDfvL7df9CAEAAIDulUp58SI//nEKhTZWbW3l0KHMz6deV0IAAAAA+Lx6PW+9laNH24tzFIt59iwvXohzAAAADDqJDgAAAKBnvvvdvHyZ+/fby3VsbOTQobz/fhoNJQQAAACAJKnXMz+fQ4eytdXGqkIh9+/nF79IqaSEAAAAQ+A1l2VD7/vqC3f3aDQAAGDcNJu5fj3Ly20vrFSytJTJSSUEAOi3Yb+YHgBgZDQauXw5a2vtrSoUsrqaublMTCghAAAwRob95bZEB/RjLmg0AABgPDUaWV1tO9fhb88AAAdCogMA4MB19j4tzkkBAADGmEQH0HouaDQAAGCc7e7m/fezsdHeqr1cx/y8+gEA9IlEBwDAAWo2s7mZU6faXijLAQAAjLlhf7n9uh8hAAAAsK+mpvLgQT77LOVyG6t2dnLqVI4cSbWqhAAAAACMrGYzDx7kzTfbjnOUy/nss/zgB+IcAAAAQ8wdHbAPfeWODgAAgK9QrebcudRq7a0qFnP7dkol9QMA2Efu6AAA6LO9ezmWlrKz097CcjnXr2d6WgkBAACG/uW2RAf0Yy5oNAAAgD9VreZ732v7D9VyHQAA+0qiAwCgbzrOcnhFBgAA8DnD/nL7dT9CAAAAoM9Kpbx8mfv3Uyi0sapWy9GjOXIk1aoSAgAAADCUms08eJA338ypU+3FOQqFPHuWFy/EOQAAAEaKOzpgH/rKHR0AAACvZu8wwlOn2l7oMEIAgJ5zRwcAwL7q+F6OQiGrq5mby8SEKgIAAHzesL/cluiAfswFjQYAAPA1Go2srmZ5ue2Fch0AAD0k0QEAsE86znIkuX9flgMAAODrSHQAreeCRgMAAGip0cjZs9nYaHuhXAcAQE9IdAAA9Fw3WY5KJUtLmZxURQAAgK8j0QG0ngsaDQAA4BXV67l8Wa4DAOAASHQAAPSQLAcAAEB/SHQAreeCRgMAAGhLx7mOcjnXr2d6WgkBANom0QEA0BPdZDm83QIAAGiXRAfQei5oNAAAgA7IdQAA9JNEBwBAl2Q5AAAA+k+iA2g9FzQaAABAx6rVnDuXWq3thf4KDgDQFokOAICOyXIAAAAcFIkOoPVc0GgAAABdkusAANhvEh0AAB2Q5QAAADhYEh1A67mg0QAAAHpCrgMAYP9IdAAAtEWWAwAAYBBIdACt54JGAwAA6CG5DgCA/SDRAQDwimQ5AAAABodEB9B6Lmg0AACAnpPrAADoLYkOAICWZDkAAAAGjUQH0HouaDQAAIB9ItcBANArEh0AAF9DlgMAAGAwSXQAreeCRgMAANhXch0AAN2T6AAA+FKyHAAAAINMogNoPRc0GgAAQB/IdQAAdEOiAwDgc2Q5AAAABp9EB9B6Lmg0AACAvukm13HnTiYnlRAAGFMSHQAAf8rpIQAAAENh2F9uv+5HCAAAAIySUikvXuTZsxSL7S3c2Mgbb+SDD9JoqCIAAADA+KpWc+RIjh5tO85RLuezz/LggTgHAAAAr8odHbAPfeWODgAAgMHwk5/kf//v7Oy0vbBSydKS+zoAgPHijg4AAPdyAAAADJ1hf7kt0QH9mAsaDQAA4KA0m9nczNKSXAcAQAsSHQDAOJPlAAAAGFISHUDruaDRAAAADpZcBwBASxIdAMB4kuUAAAAYahIdQOu5oNEAAAAGgVwHAMDXkOgAAMaNLAcAAMAIkOgAWs8FjQYAADA45DoAAL6URAcAMD5kOQAAAEaGRAfQei5oNAAAgEEj1wEA8DkSHQDAOJDlAAAAGDESHUDruaDRAAAABpNcBwDAH0h0AACjTZYDAABgJEl0AK3ngkYDAAAYZHIdAACR6AAARpcsBwAAwAiT6ABazwWNBgAAMPjkOgCAMSfRAQCMHlkOAACAkSfRAbSeCxoNAABgWMh1AABjS6IDABglshwAAABjQqIDaD0XNBoAAMBw6SbXsbiYCxf81R8AGD4SHQDAaJDlAAAAGCsSHUDruaDRAAAAhlGzmevXs7zcyVpfAAAAQ0eiAwAYdrIcAAAAY0iiA2g9FzQaAADA8Go0srraea7j/PmUSqoIAAwBiQ4AYHjJcgAAAIwtiQ6g9VzQaAAAAMOum1xHsZjbt+U6AIBBJ9EBAAwjWQ4AAIAxJ9EBtJ4LGg0AAGA0dJ/rmJnJxIRCAgCDSKIDABgushwAAABEogN4lbmg0QAAAEZJN7mOQiGrq5mbk+sAAAaORAcAMCxkOQAAAPgDiQ6g9VzQaAAAAKNHrgMAGDESHQDAgGs2s7mZGzdkOQAAAPgjiQ6g9VzQaAAAAKNq70uCpaXs7HSyvFLJ0lImJxUSADh4Eh0AwMDq5g2MLAcAAMBok+gAWs8FjQYAADDa5DoAgBEg0QEADKBubkmV5QAAABgHEh1A67mg0QAAAMZBs5nnz3PuXGq1Tpb7yAAAOFgSHQDAQKnXc++eLAcAAAAtSHQAreeCRgMAABgr1apcBwAwfCQ6AIABUa/n8uVsbHSy1qsVAACAcTPsL7df9yMEAAAA6K1SKS9epFZLudz22o2NHDqUt95KtaqQAAAAwHipVvPWWzl0qJM4R7mczz7LgwfiHAAAAAwTd3TAPvSVOzoAAAD4vW4OlSwWc/t2SiVVBAD6wR0dAMABcuUpAAAAnRn2l9sSHdCPuaDRAAAAxly9nnv3srzcydpiMSsrOX48ExMKCQDsI4kOAKD/ms1sbmZpKTs7nSyX5QAAAECiA2g9FzQaAAAASRqNrK52mOsoFLK6mrk5uQ4AYL9IdAAA/dRo5O7dXLsmywEAAEBXJDqA1nNBowEAAPAHe7mO9fVOvlfYy3WcOJHJSYUEAHpMogMA6I9uzrxIUqlkacm7EQAAAH5HogNoPRc0GgAAAJ/TbGZzM0tLHZ5D6dsFAKDnJDoAgP1Wr+fmzaytdbK2UMiVKzlzxvsQAAAA/huJDqD1XNBoAAAAfCm5DgBgcEh0AAD7Z3s7KyvZ2Ohk7d6dpXNzmZhQSAAAAD5PogNoPRc0GgAAAF+vWs25c6nVOllbLuf69UxPqyIA0BWJDgBgP3Tz0qNYzO3bmZmR5QAAAOArDfvL7df9CAEAAAAOXKmUFy/y7FmKxbbXbmzk0KHMz6deV0gAAABgIDSb+clPcuRIjh7tJM5RLObZs7x4kVJJnAMAAIBRJtEBAAAAMCj2ch21Wsrlttfu5TreeivVqkICAAAAB6bZzIMHefPN/M3fdJLlKJfz2We/y3IAAADAyHvNZdnQ+776wt09Gg0AAIB21eu5fDkbG52sLRZz+7bvHgCA9gz7xfQAwIFrNLK6muXlDpdXKjl9OtPTCgkAAEAbhv3ltkQH9GMuaDQAAAA6U6/n3r0Ov4QoFrOykuPHMzGhkABAaxIdAEDHdnezvt5VlmNpKZOTCgkAAEDbJDqA1nNBowEAANCNbk64LBSyupq5ObkOAKAFiQ4AoAPd3DK699bixAlZDgAAADon0QG0ngsaDQAAgO7t5TrW17Oz0/ZaX0gAAC1JdAAAbalWc+tWh1mOYjEXLzqBAgAAgB6Q6ABazwWNBgAAQK80m9nczNJSJ7mOJJVKlpbkOgCALyHRAQC8omo1586lVutkbbGY27dTKqkiAAAAvSHRAbSeCxoNAACA3uoy17G4mAsXMj2tkADAH0l0AABfr8vXEeVyzp+X5QAAAKDHJDqA1nNBowEAALBPujkUc3Y2V6/6kAIA+B2JDgDgqzQaefy4qyzH9euOlgAAAGBfSHQAreeCRgMAAGBfdZPrKBZz8WLm5jIxoZAAMNYkOgCAL2o0srqa5eUOl1cqWVrK5KRCAgAAsF8kOoDWc0GjAQAA0Afb21lZycZGh8t9YwEAY06iAwD4U/V6bt7M2lonawuFLCx4zwAAAEA/SHQAreeCRgMAAKBv6vVcvtx5rqNczvXrmZ5WSAAYOxIdAMCebt4tFApZXXUXKAAAAP0j0QG0ngsaDQAAgD6r13PvXpaXO1xeLOb27ZRKCgkAY0SiAwCoVnPuXGq1TtYWi1lZyfHjshwAAAD0lUQH0HouaDQAAAAORKOR1dXOcx2O1QSAsSLRAQBjq9nMkye5dKnzLIeDIQAAADgoEh1A67mg0QAAADhAjUbu3s21a9nZ6XCHSiVLS5mcVEsAGGUSHQAwhvYOg1hf7/ClQbmc69czPa2QAAAAHBiJDqD1XNBoAAAAHLguj9uMrzQAYNRJdADAWNnezspKNjY6XL64mAsXvCUAAADg4El0AK3ngkYDAABgcFSruXWr8y82isXcvp2ZmUxMqCUAjBSJDgAYB92f+OAmTwAAAAaKRAfQei5oNAAAAAZNvZ5797K83OHyQiGrqzlxwgccADA6JDoAYLQ1Glldzfp6dna8CgAAAGB0SHQAreeCRgMAAGAwNRq5ezfXrnX4MUeSSiULC5maUksAGHoSHQAwqra3s7LS+XWde1mOuTnXdQIAADCIJDqA1nNBowEAADDIms08eZJLl1KrdbhDuZxLl3L4sFoCwBCT6AAAz/ufUyzm9u2USmoJAADA4JLoAFrPBY0GAADAUOjyzM697zxmZpzZCQBDSaIDAEZGo5HV1ayvd34nZ7mc8+dlOQAAABgCEh1A67mg0QAAABgiu7tZX8/ycofLC4WsrubEiUxOqiUADBOJDgAYAV0e1pBkcTEXLmR6Wi0BAAAYDhIdQOu5oNEAAAAYOo1GHj/O0lLnx3lWKllYyNSUWgLAcJDoAIDh1WzmyZNcupRarcMdCoVcuZIzZxzQAAAAwJCR6ABazwWNBgAAwJBqNvP8ec6d6/yLkHI558+nVFJLABh0Eh0AMIy6vGkzSbGY27czM5OJCeUEAABg+Eh0AK3ngkYDAABg2G1vZ2UlGxsdLi8Ws7KS48d9HQIAg0uiAwCGS7WaW7c6f1RPsriYCxcyPa2WAAAADDGJDqD1XNBoAAAAjIYuD/4sFHLlSs6cyeSkWgLAwJHoAICh0GxmczM3bnR+nabHcwAAAEaJRAfQei5oNAAAAEZJo5HHj7O0lJ2dDneoVHL6tENAAWCwSHQAwIDr8pyFJMVibt/OzIwrNAEAABgdEh1A67mg0QAAABhJ1WrOnev8TNByOefPp1RSSAAYCBIdADDID+C3bmVjo/MdFhdz4YKzFQAAABhBEh1A67mg0QAAABhh9XouX+78s5JiMSsrOX7c+aAAcMAkOgBg0DSb2dzMjRudH6ZQKOTKlZw5k8lJ5QQAAGA0SXQAreeCRgMAAGDkNRpZXc3ycuc7VCo5fdpxoQBwYCQ6AGBw7O5mfb2rp+zZ2Vy9mpkZBygAAAAw4iQ6gNZzQaMBAAAwJvZOD11ays5Ohzv44gQADopEBwAMgmo1t251fhNmnJgAAADAmJHoAF5pLrwiLQkAAMBoqFZz7lxqtQ6XFwpZWMjCQqam1BIA+kSiAwAOUKORx49z40ZXj9KrqzlxIpOTygkAAMAoGJNPsiU6wPgAAACA/VKv5/Llrg4WLZdz/nxKJbUEgH0n0QEAB/XsfO9elpc732HvukvPzgAAAIwYiQ7A+AAAAIAeaDSyupr19ezsdLhDoZArV3LmjHNGAWAfSXQAQJ9Vq7l6NVtbne9QqeT06UxPqyUAAAAjSKIDMD4AAACgZ5rNbG7mxo3Uap1vUi7n0qUcPqycANB7Eh0A0B+NRh4/ztJSVwcfrK7mxAkHHwAAADDKJDqAno0PjQYAAAB/0P0RpMViLl705QoA9JhEBwDst3o99+5lebnzHWZnc/VqSiW1BAAAgN8Z9pfbEh3Qj7mg0QAAAOBzuv+KJcniYi5cyPS0cgJAD0h0AMD+6f50g0olp097BAYAAIDPk+gAWs8FjQYAAABfqtHI48e5cSO1WuebFItZWcnx45mYUFEA6JxEBwDs02Pv0lJ2djrcoVDI6qprKgEAAOArSXQAreeCRgMAAICvt72djz7K2lpXm1QqWVjI1JRyAkAnJDoAoIe6v5qyXM758ymV1BIAAAC+jkQH0HouaDQAAAB4FY1G7t7NtWudn12aZHY2V69mZsaVHQDQHokOAOiJajVXr2Zrq/MdHFgAAAAAr06iA2g9FzQaAAAAtKVaza1b2djofIdCIQsLWVrK5KRyAsArkegAgG50f0hBsZiLFzM354QCAAAAaINEB9B6Lmg0AAAA6ECjkdXVrK93dWVHuZzz51MqKScAtCDRAQCdqddz82bW1jy6AgAAwAGQ6ABazwWNBgAAAB1rNvP8ea5ezdZW55sUCrlyJWfOuLIDAL6SRAcAdPC4eu5carXON6lUsrCQqSnlBAAAgA5JdACt54JGAwAAgO7V67l3L8vLXW2yuJj33svhw8oJAJ8n0QEAr6jRyN27uXat8ysli8VcvJi5uUxMKCcAAAB0RaIDaD0XNBoAAAD0SrOZJ09y6VJXZ6DufTpz4oQrOwDgjyQ6AKClej03b2ZtrfMdyuWcP59SSS0BAACgNyQ6gNZzQaMBAABAz3X/GU2SSiWnT2d6WjkBQKIDAL5So5HHj3PjRleHC1QqWVjI1JRyAgAAQC9JdACt54JGAwAAgH3Sk69qisWsrOT48UxMqCgA40uiAwC+qFrN5mZXpwns3RI5N+eREwAAAPaFRAfQei5oNAAAANhv29tZWcnGRlebODAVgHEm0QEAf7C7m4cPc+1adnY636RczqVLOXxYOQEAAGAfSXQAreeCRgMAAID+aDRy926339zMzubq1czMOD8VgPEi0QEAzWaeP8/Vq9na6nyTQiELC1layuSkigIAAMC+k+gAWs8FjQYAAAB9Vq3m1q2uruwoFHLlSs6c8QkOAONCogOAcVav5969rK93dUBAsZiVlRw/7oAAAAAA6B+JDqD1XNBoAAAAcCB2d7O+3u0XOeVyzp9PqaScAIw4iQ4AxlCjkadPc+lSarWu9imXc+lSDh9WUQAAAOg3iQ6g9VzQaAAAAHCAms08f56rV7O11fkmhUJWV3PihCs7ABhZEh0AjJXt7Xz0UdbWutqkUMjCQpaWPCoCAADAgZHoAFrPBY0GAAAAg6Bez717WV7uapPFxbz3noNXARhBEh0AjINGI3fv5tq1ru5yTFIsZmUlx49nYkJRAQAA4CBJdACt54JGAwAAgMHRbObJk1y6lFqt802KxVy8mLk53+4AMDokOgAY7SfB7i9vzO8v5Th9OtPTigoAAAADQaIDaD0XNBoAAAAMoO3tfPRR1ta62qRS8SkPACNCogOAkbS7m/X1rK93eynH7GyuXs3MjGA/AAAADBaJDqD1XNBoAAAAMLAajTx+nBs3enBlx4kTmZxUUQCGlUQHAKOkJ9czJikUcuVKzpzxuAcAAAADSqIDaD0XNBoAAAAMvmo1t25lY6OrTcrlnD/v0FYAhpJEBwCjoSf3MSZZXMzcXEolFQUAAICBJtEBtJ4LGg0AAACGRaORu3dz7Vp2djrfpFDIwkJOn870tIoCMDQkOgAYgae5O3e6vZTDHYwAAAAwXCQ6gNZzQaMBAADA0KlWc/Vqtra62qRYzNmzOXPGl0AADAGJDgCG9/Gt+xsXk1QqkvkAAAAwfCQ6gNZzQaMBAADAkNrdzfp61te7urIjyexsrl7NzEwmJhQVgAEl0QGA5zUAAABg6Eh0AK3ngkYDAACAodZs5vnznDuXWq3brSqVnDyZw4cVFYCBI9EBwLA8oD15kps3u71TsVDIwkIWFjI1pagAAAAwxCQ6gNZzQaMBAADAaKjXc+9elpe73adYzNmzeecdXw4BMEAkOgAYcNvbefSoB09k5XLOn0+ppKIAAAAwCiQ6gNZzQaMBAADAKNk7EfbSpR5c2TE7mwsXcvx4JibUFYADJtEBwGBqNPL4cW7c6PYRrFjMxYs5cSKTk4oKAAAAo0OiA2g9FzQaAAAAjKS9KzvW17Oz0+1Wi4t5770cPqyoABwYiQ4ABk21ms3NrK11u0+lkpMnPXABAADAaJLoAFrPBY0GAAAAI6zZzPPnuXUrGxvdblUoZGEhCwuZmlJXAPpNogOAAbG7m4cPc+1at+F5lyICAADAOJDoAFrPBY0GAAAA46DRyNOnuXQptVq3WxWLWVnJsWOZnFRXAPpEogOAg7WXlr96NVtbXe0jKg8AAABjRaIDaD0XNBoAAACMld3drK9nfb3bA2WTLC5mbi6lkqICsO8kOgA4KPV67t3L8nK3+5TLOX8+MzMu5QAAAIAxItEBtJ4LGg0AAADGU7Wazc2srXW7z94Rs6dPZ3paUQHYLxIdAPRZo5HHj3PjRrf3HBaLOXs2Z8645BAAAADGkUQH0HouaDQAAAAYZ41Gnj7NzZvZ2up2q2IxFy/mxAkfKgHQexIdAPTN9nY++qgH6ffFxbz3Xg4fVlEAAAAYXxIdQOu5oNEAAACAJLu7efgw165lZ6fbrcrlnD+fmZlMTKgrAL0h0QHAfms0cvduD56JisWsrOT4cQ9EAAAAgEQH8ApzQaMBAAAAf6pX59EWCllYyMmTjqQFoAckOgDYJ81mnjzpwb2Fe09Ap09nelpRAQAAgN+R6ABazwWNBgAAAHxRr75qSlIs5uzZnDmTyUl1BaBDEh0A9PyR5/nzbG72IM0+O5urV91SCAAAAHwJiQ6g9VzQaAAAAMDXaDRy927u3Emt1u1WvnMCoGMSHQD0yvZ2Hj3K8nK3+xQKuXJFdh0AAAD4OhIdQOu5oNEAAACAV9Grz56SVCo5eTKHDysqAK9KogOAnjzRrK9nZ6fbrRYX8957nmgAAACA1iQ6gNZzQaMBAAAAr67ZzPPnuXo1W1vdbrV3ou0772RqSl0BaEGiA4DO7O7m4cPe3DpYLObixZw44VIOAAAA4FVJdACt54JGAwAAADrQaOTx49y40YPvomZnc+FCjh/PxIS6AvDlJDoAOKgHliSVSk6fzvS0ugIAAADtkegAWs8FjQYAAAB0o17PvXtZX8/OTrdbLS7mvfdy+LCiAvB5Eh0AvIpGI0+f5ubNHlwqmGR2NlevZmZG+BwAAADokEQH0HouaDQAAACge81mnj/PrVvZ2Oh2q0IhCwtZWMjUlLoC8DsSHQC0fB7Z3MzaWg92KxRy5UreeccjCQAAANAtiQ6g9VzQaAAAAEAP7Z2Je+lSarVutyoWs7KSY8cyOamuAONOogOAL7W9nY8+6k2QI8niYubmUiqpKwAAANAbEh1A67mg0QAAAID9sLub9fWsr2dnp9ut9j6rmpnJxIS6AowpiQ4A/tT2dh496s3jRpJyOefPe+IAAAAAek+iA2g9FzQaAAAAsK+q1Wxu9ubQXNEOgLEl0QFAkt3dPHyYa9d6E+SYnc2FC24FBAAAAPaRRAfQei5oNAAAAKAPms08eZKbN7O11YPdRDsAxo1EB8A4azRy927u3Emt1oPdisVcvJgTJwQ5AAAAgH0n0QG0ngsaDQAAAOin3p6qK9oBMCYkOgDGUKORp097FgsvFnP2bN55J1NTSgsAAAD0iUQH0HouaDQAAADgQGxv56OPsrbWm91EOwBGm0QHwPhoNvP8eW7dysZGD3YrFLKwkJMnc/iw0gIAAAD9JtEBtJ4LGg0AAAA4QHtfa1292ptjdyPaATCiJDoAxkG1ms3NXqa+33tPkAMAAAA4SBIdQOu5oNEAAACAQdBo5O7d3LmTWq03G4p2AIwSiQ6AEba9nUePsr6enR0PAgAAAMBIkegAWs8FjQYAAAAMlL3PuZaXe7ahL7oARoBEB8Do2d3N+nrPghyzs7lwIceOZXJSaQEAAIBBIdEBtJ4LGg0AAAAYQM1mnj/P5mbW1nq2p2gHwPCS6AAYGbu7efiwZ7fzFYtZWRHkAAAAAAaURAfQei5oNAAAAGCQiXYAEIkOgOG3dxdfr27kKBZz9mzeeSdTU0oLAAAADC6JDqD1XNBoAAAAwFDoebSjUMjCQk6ezOHDqgsw6CQ6AIb0d/hf/aqXQY693+FPn870tOoCAAAAQ0CiA2g9FzQaAAAAMFxEOwDGkEQHwDj/xp6kUvEbOwAAADB8JDqA1nNBowEAAABDSrQDYHxIdAAMvkYjT5/m44+zsdGzPRcXMzeXmZlMTCgwAAAAMHwkOoDWc0GjAQAAAMNOtANg5El0AAys3d38/Oe5eTNbWz3bc3Y2Fy7k+HFBDgAAAGC4SXQAreeCRgMAAABGxt6pwD38mEy0A2BASHQADJrd3Tx8mDt3Uqv1bM+9IMexY5mcVGAAAABgFEh0AK3ngkYDAAAARo9oB8CIkegAGBDb23n0KD/6US+DHMVizp7NO+9kakqBAQAAgJEi0QG0ngsaDQAAABhhoh0Ao0GiA+AANZv51a/y6FHW17Oz07NtBTkAAACAkSfRAbSeCxoNAAAAGAeiHQBDTaIDoP+azTx/ns3NrK31cltBDgAAAGB8SHQAreeCRgMAAADGyn5EO+bmMjeXmZlMTCgwwL6Q6ADo8y/M//RPPQ5yzM7mwoUcO5bJSTUGAAAAxoVEB9B6Lmg0AAAAYDz1PNqR33+m9s1vOm8YoMckOgCG8dfjJIuL+c53BDkAAACAMSXRAbSeCxoNAAAAGHP78e1asXOSUBoAACAASURBVJizZ3PsWA4fVmCAHpDoANgnu7t5+DB37qRW6+W2i4tusQMAAACQ6IB+qdfr//Ef//Hv//7vn3766b/9278l2d3d3fr9JwCzs7NTU1NJ/uIv/uKv/uqv/vIv/3J6enpw5oJGAwAAANizH9GOQiELC/n2t33NBtAViQ6A3treztOnPQ5y7P3qe/KkVDMAAADA70h0wH6p1+v/+q//+vz583/5l3+pdfSas1wunz9/vlQqHfhc0GgAAAAAn7Mf0Y4k5XLefTfHjmVyUo0B2iPRAdAT29t59Cjr69nZ6dmerqcDAAAA+CoSHdBjDx48+OSTTzY2Nnq1YaFQuHLlyve///2Jfp3QKNEBAAAA8Or2Kdqx99HbO+9kakqNAV6JRAdAx5rNPH+ezc2srfmdFgAAAKCvJDqgH03VvUKh8OTJk8N9ObVGogMAAACgA41G7t7NnTvp6LrWr1QoZGEhJ0/mG99Iv078ABhKEh0AHfwG+8tf9j7IMTubCxfyzW8KcgAAAAC0JtEB/WiqXimXy/fu3dvvyzokOgAAAAC6sbubhw/z+HGPb+1IsriY73wnx45lclKZAT5PogPgFe3TLXPlct591y+rAAAAAO2R6IB+NFUPzc7O/uM//uO+hjokOgAAAAB6Yu9TuY8/zsZGj3eenc2ZM3nrLcceA/yRRAfA19un4PHiYubmMjPjQjkAAACATkh0QD+aqrdmZ2d/+tOf9vN/QaMBAAAAdKPZzPPn+dnPsr6enZ1e7lws5m//NidP5vBhZQbGnUQHwJeq1/PJJ7lzJ7Vaz/YsFLKwkJMn841vCHIAAAAAdEWiA/rRVHtmZ2enpqbefvvtJN/61rf+9J/+8z//c3t7+5NPPvnnf/7nnVf4q/79+/fn5+f79r+g0QAAAAB6ZT++qNvjdGRgzEl0APyp7e08etTjRLE4MQAAAEDPSXTAPjZVoVD467/+67fffvtb3/rW9PT0qyxvNpvPnz8/d+5crdWf9H/9619PTU31Zy5oNAAAAICe293Nz3+emzeztdXjnWdnc+FCvvnN7M/bI4ABJdEBsHc13OZmNjd7HOQ4ezbvvOPXSwAAAIDek+iA3jdVsVg8e/bs22+//Yopji9VrVa/PtexuLj44Ycf9mcuaDQAAACA/bNPH97l99/eHTvmEGVgLEh0AGNrdzc//Wk++SQbG73cVk4YAAAAoA8kOqDHGo3G5ORkr7b68z//852v/jP+f/3Xf01MTPRhLmg0AAAAgP7Y3s6jR/nRj9LqAtf2FApZWMi3v52ZmezD+ySAgSDRAYyVvVTwz36W9fUep4L3ghzHjqVHf/MEAAAA4OtIdMBAq9frhw4d+qp/ffbsWalU6sNc0GgAAAAAfbZ30PLdu9na6vHO5XLefdcnesAIkugAxkG9nk8+yePHvf8tcXExc3MCwAAAAAD9JtEBg+4nP/nJ3/z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- } - }, - "cell_type": "markdown", - "id": "d29108bc", + "cell_type": "code", + "execution_count": 6, + "id": "28320f1c", "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "Graphics object consisting of 2 graphics primitives" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "![exgr.png](attachment:exgr.png)" + "c11, c12, c13, c22, c23, c33, c44, c55, c66 = var('c11,c12,c13,c22,c23,c33,c44,c55,c66')\n", + "M = matrix([\n", + " [c11, c12, c13, 0, 0, 0],\n", + " [c12, c22, c23, 0, 0, 0],\n", + " [c13, c23, c33, 0, 0, 0],\n", + " [0, 0, 0, c44, 0, 0],\n", + " [0, 0, 0, 0, c55, 0],\n", + " [0, 0, 0, 0, 0, c66]\n", + "])\n", + "\n", + "n1, n2, n3 = var('n1,n2,n3') # components of the normal vector\n", + "A = matrix([\n", + " [n1, 0, 0, 0, n3, n2],\n", + " [0, n2, 0, n3, 0, n1],\n", + " [0, 0, n3, n2, n1, 0]\n", + "])\n", + "\n", + "V = M.substitute(c12=c11-2*c66, c22=c11, c23=c13, c44=c55)\n", + "C = A * V * A.transpose()\n", + "\n", + "# Convert map object to list\n", + "e3 = list(map(lambda x: x.full_simplify(), C.eigenvalues()))\n", + "\n", + "# Define normal vector and compute phase velocities\n", + "nv = vector([n1, n2, n3]).column()\n", + "vsphase = sqrt(e3[2])\n", + "vpphase = sqrt(e3[1])\n", + "\n", + "# Compute group velocities\n", + "vsgroup = vsphase * nv + (identity_matrix(3) - nv * nv.transpose()) * vector([diff(vsphase, n1), diff(vsphase, n2), diff(vsphase, n3)]).column()\n", + "vsgroup = [vsgroup[0][0].full_simplify(), vsgroup[1][0].full_simplify(), vsgroup[2][0].full_simplify()]\n", + "vsgroup = list(map(lambda x: x.substitute(n2=0, n3=sqrt(1-n1^2)).full_simplify(), vsgroup))\n", + "\n", + "vpgroup = vpphase * nv + (identity_matrix(3) - nv * nv.transpose()) * vector([diff(vpphase, n1), diff(vpphase, n2), diff(vpphase, n3)]).column()\n", + "vpgroup = [vpgroup[0][0].full_simplify(), vpgroup[1][0].full_simplify(), vpgroup[2][0].full_simplify()]\n", + "vpgroup = list(map(lambda x: x.substitute(n2=0, n3=sqrt(1-n1^2)).full_simplify(), vpgroup))\n", + "\n", + "# Compute group velocity magnitudes\n", + "vgs(n1) = (vsgroup[0]**2 + vsgroup[1]**2 + vsgroup[2]**2).full_simplify()\n", + "vgp(n1) = (vpgroup[0]**2 + vpgroup[1]**2 + vpgroup[2]**2).full_simplify()\n", + "\n", + "# Sage bug workaround: switch expressions\n", + "vgptrue = vgs\n", + "vgstrue = vgp\n", + "\n", + "# Compute sn12 and pn12\n", + "sn12(n1) = (vsgroup[0]**2 / vgs).full_simplify()\n", + "pn12(n1) = (vpgroup[0]**2 / vgp).full_simplify()\n", + "\n", + "# Switch sn12 and pn12 due to bug\n", + "pn12true = sn12\n", + "sn12true = pn12\n", + "\n", + "# Parametric plots for group velocities\n", + "vsx = (sqrt(vgstrue(sin(x))) * sign(sin(x)) * sqrt(sn12true(sin(x)))).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51)\n", + "vsz = (sqrt(vgstrue(sin(x))) * sign(cos(x)) * sqrt(1 - sn12true(sin(x)))).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51)\n", + "pgs = parametric_plot([vsx, vsz], (x, 0, 2*pi), color='green')\n", + "\n", + "vpx = (sqrt(vgptrue(sin(x))) * sign(sin(x)) * sqrt(pn12true(sin(x)))).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51)\n", + "vpz = (sqrt(vgptrue(sin(x))) * sign(cos(x)) * sqrt(1 - pn12true(sin(x)))).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51)\n", + "pgp = parametric_plot([vpx, vpz], (x, 0, 2*pi))\n", + "\n", + "# Combine the plots\n", + "p = pgp + pgs\n", + "\n", + "# Show the plot\n", + "p.show(frame=True, axes_labels=['horizontal velocity (km/s)', 'vertical velocity (km/s)'])" ] }, { @@ -600,16 +810,86 @@ ] }, { - "attachments": { - "errphp.png": { - "image/png": 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- } - }, - "cell_type": "markdown", - "id": "0f073d96", + "cell_type": "code", + "execution_count": 7, + "id": "308edb00", "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "Graphics object consisting of 3 graphics primitives" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "![errphp.png](attachment:errphp.png)" + "c11, c12, c13, c22, c23, c33, c44, c55, c66 = var('c11,c12,c13,c22,c23,c33,c44,c55,c66')\n", + "M = matrix([\n", + " [c11, c12, c13, 0, 0, 0],\n", + " [c12, c22, c23, 0, 0, 0],\n", + " [c13, c23, c33, 0, 0, 0],\n", + " [0, 0, 0, c44, 0, 0],\n", + " [0, 0, 0, 0, c55, 0],\n", + " [0, 0, 0, 0, 0, c66]\n", + "])\n", + "\n", + "n1, n2, n3 = var('n1,n2,n3') # components of the normal vector\n", + "A = matrix([\n", + " [n1, 0, 0, 0, n3, n2],\n", + " [0, n2, 0, n3, 0, n1],\n", + " [0, 0, n3, n2, n1, 0]\n", + "])\n", + "\n", + "V = M.substitute(c12=c11-2*c66, c22=c11, c23=c13, c44=c55)\n", + "C = A * V * A.transpose()\n", + "\n", + "# Convert map object to list\n", + "e3 = list(map(lambda x: x.full_simplify(), C.eigenvalues()))\n", + "\n", + "# Substitute and simplify expressions for phase velocities\n", + "vp(n1) = e3[1].substitute(n2=0, n3=sqrt(1-n1^2))\n", + "vsv(n1) = e3[2].substitute(n2=0, n3=sqrt(1-n1^2))\n", + "\n", + "# Sage bug workaround: switch vp and vsv expressions\n", + "vptrue = vsv\n", + "\n", + "# Muir-Dellinger approximation\n", + "q = var('q')\n", + "el(n1) = c11*n1^2 + c33*(1-n1^2)\n", + "md(n1) = el(n1) + (q-1) * c11 * c33 * n1^2 * (1-n1^2) / el(n1)\n", + "qz = ((2*c13 + c33)*c55 + c13^2) / (c11*c33 - c11*c55)\n", + "mdplot = plot(100*abs(sqrt(md(sin(x*pi/180)) / vptrue(sin(x*pi/180))) - 1)\n", + " .substitute(q=qz)\n", + " .substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51), \n", + " (x, 0, 90), linestyle='--')\n", + "\n", + "# Shifted hyperbola approximation\n", + "s = var('s')\n", + "sh(n1) = (1-s) * el(n1) + s * sqrt(el(n1)^2 + 2*(q-1) * c11 * c33 * n1^2 * (1-n1^2) / s)\n", + "shplot = plot(100*abs(sqrt(sh(sin(x*pi/180)) / vptrue(sin(x*pi/180))) - 1)\n", + " .substitute(q=qz)\n", + " .substitute(s=0.5)\n", + " .substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51), \n", + " (x, 0, 90))\n", + "\n", + "# Weak anisotropy approximation\n", + "epsilon, delta = var('epsilon,delta')\n", + "epsilon = (c11 - c33) / (2 * c33)\n", + "delta = ((c55 + c13)^2 - (c33 - c55)^2) / (2 * c33 * (c33 - c55))\n", + "th(n1) = c33 * (1 + 2*epsilon*n1^4 + 2*delta*n1^2*(1-n1^2))\n", + "weakplot = plot(100*abs(sqrt(th(sin(x*pi/180)) / vptrue(sin(x*pi/180))) - 1)\n", + " .substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51), \n", + " (x, 0, 90), linestyle=':')\n", + "\n", + "# Combine the plots\n", + "p = shplot + mdplot + weakplot\n", + "\n", + "# Display the plot\n", + "p.show(axes_labels=['phase angle (degrees)', 'relative error (%)'], aspect_ratio=50, frame=True, axes=False)" ] }, { @@ -720,16 +1000,111 @@ ] }, { - "attachments": { - "errgrp.png": { - "image/png": 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- } - }, - "cell_type": "markdown", - "id": "49fbac6e", + "cell_type": "code", + "execution_count": 8, + "id": "5f3c1ed0", "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "Graphics object consisting of 3 graphics primitives" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "![errgrp.png](attachment:errgrp.png)" + "# Define constants and matrix\n", + "c11, c12, c13, c22, c23, c33, c44, c55, c66 = var('c11,c12,c13,c22,c23,c33,c44,c55,c66')\n", + "M = matrix([\n", + " [c11, c12, c13, 0, 0, 0],\n", + " [c12, c22, c23, 0, 0, 0],\n", + " [c13, c23, c33, 0, 0, 0],\n", + " [0, 0, 0, c44, 0, 0],\n", + " [0, 0, 0, 0, c55, 0],\n", + " [0, 0, 0, 0, 0, c66]])\n", + "\n", + "n1, n2, n3 = var('n1,n2,n3') # components of the normal vector\n", + "nv = vector([n1, n2, n3]).column()\n", + "\n", + "A = matrix([\n", + " [n1, 0, 0, 0, n3, n2],\n", + " [0, n2, 0, n3, 0, n1],\n", + " [0, 0, n3, n2, n1, 0]])\n", + "\n", + "V = M.substitute(c12=c11 - 2 * c66, c22=c11, c23=c13, c44=c55)\n", + "C = A * V * A.transpose()\n", + "e3 = list(map(lambda x: x.full_simplify(), C.eigenvalues())) # Convert map to list\n", + "\n", + "vsphase = sqrt(e3[2])\n", + "vpphase = sqrt(e3[1])\n", + "\n", + "# Compute vsgroup and vpphase\n", + "vsgroup = vsphase * nv + (identity_matrix(3) - nv * nv.transpose()) * vector([diff(vsphase, n1), diff(vsphase, n2), diff(vsphase, n3)]).column()\n", + "vsgroup = [vsgroup[0][0].full_simplify(), vsgroup[1][0].full_simplify(), vsgroup[2][0].full_simplify()]\n", + "vsgroup = list(map(lambda x: x.substitute(n2=0, n3=sqrt(1 - n1^2)).full_simplify(), vsgroup)) # Convert map to list\n", + "\n", + "vpgroup = vpphase * nv + (identity_matrix(3) - nv * nv.transpose()) * vector([diff(vpphase, n1), diff(vpphase, n2), diff(vpphase, n3)]).column()\n", + "vpgroup = [vpgroup[0][0].full_simplify(), vpgroup[1][0].full_simplify(), vpgroup[2][0].full_simplify()]\n", + "vpgroup = list(map(lambda x: x.substitute(n2=0, n3=sqrt(1 - n1^2)).full_simplify(), vpgroup)) # Convert map to list\n", + "\n", + "# Further calculations\n", + "vgs(n1) = (vsgroup[0]^2 + vsgroup[1]^2 + vsgroup[2]^2).full_simplify()\n", + "vgp(n1) = (vpgroup[0]^2 + vpgroup[1]^2 + vpgroup[2]^2).full_simplify()\n", + "\n", + "vgptrue(n1) = vgs(n1)\n", + "vgstrue(n1) = vgp(n1)\n", + "\n", + "sn12(n1) = (vsgroup[0]^2 / vgs).full_simplify()\n", + "pn12(n1) = (vpgroup[0]^2 / vgp).full_simplify()\n", + "\n", + "pn12true(n1) = sn12(n1)\n", + "\n", + "# Thomsen's weak anisotropy\n", + "epsilon = (c11 - c33) / (2 * c33)\n", + "delta = ((c55 + c13)^2 - (c33 - c55)^2) / (2 * c33 * (c33 - c55))\n", + "TH(n1) = c33 * (1 + 2 * epsilon * pn12true(n1)^2 + 2 * delta * pn12true(n1) * (1 - pn12true(n1)))\n", + "\n", + "gpx = (arcsin(sqrt(pn12true(sin(x * pi / 180)))) * 180 / pi).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51) # Group angle\n", + "\n", + "# Calculate relative error for weak anisotropy\n", + "WEAKgpz = 100 * abs(sqrt((TH(sin(x * pi / 180)) / vgptrue(sin(x * pi / 180)))) - 1).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51)\n", + "WEAKgplot = parametric_plot([gpx, WEAKgpz], (x, 0, 90), linestyle=':')\n", + "\n", + "# Muir-Dellinger calculations\n", + "Q, N1 = var('Q,N1')\n", + "ELp(n1) = (1 / c11) * pn12(n1) + (1 / c33) * (1 - pn12(n1))\n", + "MDp(n1) = (ELp(n1) + (Q - 1) * (1 / c11) * (1 / c33) * pn12(n1) * (1 - pn12(n1)) / ELp(n1))^-1\n", + "\n", + "ELs(n1) = (1 / c11) * sn12(n1) + (1 / c33) * (1 - sn12(n1))\n", + "MDs(n1) = (ELs(n1) + (Q - 1) * (1 / c11) * (1 / c33) * sn12(n1) * (1 - sn12(n1)) / ELs(n1))^-1\n", + "\n", + "MDptrue(n1) = MDs(n1)\n", + "\n", + "qz = ((2 * c13 + c33) * c55 + c13^2) / (c11 * c33 - c11 * c55)\n", + "QZ = 1 / qz\n", + "\n", + "# Calculate relative error for Muir-Dellinger\n", + "MDgpz = 100 * abs(sqrt((MDptrue(sin(x * pi / 180)) / vgptrue(sin(x * pi / 180)))) - 1).subs(Q=QZ).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51)\n", + "MDgplot = parametric_plot([gpx, MDgpz], (x, 0, 90), linestyle='--')\n", + "\n", + "# Shifted hyperbola calculations\n", + "S = var('S')\n", + "SHp(n1) = ((1 - S) * ELp(n1) + S * sqrt(ELp(n1)^2 + 2 * (Q - 1) * (1 / c11) * (1 / c33) * pn12 * (1 - pn12) / S))^-1\n", + "SHs(n1) = ((1 - S) * ELs(n1) + S * sqrt(ELs(n1)^2 + 2 * (Q - 1) * (1 / c11) * (1 / c33) * sn12 * (1 - sn12) / S))^-1\n", + "\n", + "SHptrue(n1) = SHs(n1)\n", + "\n", + "# Calculate relative error for shifted hyperbola\n", + "SHgpz = 100 * abs(sqrt((SHptrue(sin(x * pi / 180)) / vgptrue(sin(x * pi / 180)))) - 1).subs(S = 1 / (2 * (1 + QZ)), Q = QZ).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51)\n", + "SHgplot = parametric_plot([gpx, SHgpz], (x, 0, 90))\n", + "\n", + "# Final plot\n", + "p = WEAKgplot + MDgplot + SHgplot\n", + "p.show(axes_labels=['phase angle (degrees)', 'relative error (%)'], aspect_ratio=25, frame=True, axes=False)" ] }, { @@ -793,16 +1168,113 @@ ] }, { - "attachments": { - "errgrp2.png": { - "image/png": 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- } - }, - "cell_type": "markdown", - "id": "2dfe3f2d", + "cell_type": "code", + "execution_count": 3, + "id": "6fdc718f", "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "Graphics object consisting of 3 graphics primitives" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "![errgrp2.png](attachment:errgrp2.png)" + "c11, c12, c13, c22, c23, c33, c44, c55, c66 = var('c11,c12,c13,c22,c23,c33,c44,c55,c66')\n", + "M = matrix([\n", + " [c11, c12, c13, 0, 0, 0],\n", + " [c12, c22, c23, 0, 0, 0],\n", + " [c13, c23, c33, 0, 0, 0],\n", + " [0, 0, 0, c44, 0, 0],\n", + " [0, 0, 0, 0, c55, 0],\n", + " [0, 0, 0, 0, 0, c66]\n", + "])\n", + "\n", + "n1, n2, n3 = var('n1,n2,n3') # components of the normal vector\n", + "nv = vector([n1, n2, n3]).column()\n", + "\n", + "A = matrix([\n", + " [n1, 0, 0, 0, n3, n2],\n", + " [0, n2, 0, n3, 0, n1],\n", + " [0, 0, n3, n2, n1, 0]\n", + "])\n", + "\n", + "V = M.substitute(c12=c11 - 2 * c66, c22=c11, c23=c13, c44=c55)\n", + "C = A * V * A.transpose()\n", + "e3 = list(map(lambda x: x.full_simplify(), C.eigenvalues()))\n", + "\n", + "vsphase = sqrt(e3[2])\n", + "vpphase = sqrt(e3[1])\n", + "\n", + "vsgroup = vsphase * nv + (identity_matrix(3) - nv * nv.transpose()) * vector(\n", + " [diff(vsphase, n1), diff(vsphase, n2), diff(vsphase, n3)]).column()\n", + "vsgroup = [vsgroup[0][0].full_simplify(), vsgroup[1][0].full_simplify(), vsgroup[2][0].full_simplify()]\n", + "vsgroup = list(map(lambda x: x.substitute(n2=0, n3=sqrt(1 - n1^2)).full_simplify(), vsgroup))\n", + "\n", + "vpgroup = vpphase * nv + (identity_matrix(3) - nv * nv.transpose()) * vector(\n", + " [diff(vpphase, n1), diff(vpphase, n2), diff(vpphase, n3)]).column()\n", + "vpgroup = [vpgroup[0][0].full_simplify(), vpgroup[1][0].full_simplify(), vpgroup[2][0].full_simplify()]\n", + "vpgroup = list(map(lambda x: x.substitute(n2=0, n3=sqrt(1 - n1^2)).full_simplify(), vpgroup))\n", + "\n", + "vgs(n1) = (vsgroup[0]^2 + vsgroup[1]^2 + vsgroup[2]^2).full_simplify()\n", + "vgp(n1) = (vpgroup[0]^2 + vpgroup[1]^2 + vpgroup[2]^2).full_simplify()\n", + "\n", + "vgptrue(n1) = vgs(n1)\n", + "vgstrue(n1) = vgp(n1)\n", + "\n", + "sn12(n1) = (vsgroup[0]^2 / vgs).full_simplify()\n", + "pn12(n1) = (vpgroup[0]^2 / vgp).full_simplify()\n", + "\n", + "pn12true(n1) = sn12(n1)\n", + "\n", + "gpx = (arcsin(sqrt(pn12true(sin(x * pi / 180)))) * 180 / pi).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51) # Group angle\n", + "\n", + "# Thomsen's weak anisotropy\n", + "epsilon = (c11 - c33) / (2 * c33)\n", + "delta = ((c55 + c13)^2 - (c33 - c55)^2) / (2 * c33 * (c33 - c55))\n", + "TH(n1) = c33 * (1 + 2 * epsilon * pn12true(n1)^2 + 2 * delta * pn12true(n1) * (1 - pn12true(n1)))\n", + "\n", + "# Alkhalifah-Tsvankin\n", + "TS(n1) = 1 / ((1 - sn12(n1)) / c33 + (sn12(n1) * (-c55 + c33) * (sn12(n1) * c33 * (-c55 + c33) + (1 - sn12(n1)) * (c13^2 + c55 * (c33 + 2 * c13)))) / (c11 * sn12(n1) * (c55 - c33)^2 * c33 + (1 - sn12(n1)) * (c13^2 + c55 * (c33 + 2 * c13))^2))\n", + "\n", + "TSgpz = 100 * abs(sqrt((TS(sin(x * pi / 180)) / vgptrue(sin(x * pi / 180)))) - 1).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51) # Relative error\n", + "TSgplot = parametric_plot([gpx, TSgpz], (x, 0, 90), linestyle=':')\n", + "\n", + "# Muir-Dellinger\n", + "Q, N1 = var('Q,N1')\n", + "\n", + "ELp(n1) = (1 / c11) * pn12(n1) + (1 / c33) * (1 - pn12(n1))\n", + "MDp(n1) = (ELp(n1) + (Q - 1) * (1 / c11) * (1 / c33) * pn12(n1) * (1 - pn12(n1)) / ELp(n1))^-1\n", + "\n", + "ELs(n1) = (1 / c11) * sn12(n1) + (1 / c33) * (1 - sn12(n1))\n", + "MDs(n1) = (ELs(n1) + (Q - 1) * (1 / c11) * (1 / c33) * sn12(n1) * (1 - sn12(n1)) / ELs(n1))^-1\n", + "\n", + "MDptrue(n1) = MDs(n1)\n", + "\n", + "qz = ((2 * c13 + c33) * c55 + c13^2) / (c11 * c33 - c11 * c55)\n", + "QZ = 1 / qz\n", + "\n", + "# Shifted hyperbola\n", + "S = var('S')\n", + "SHp(n1) = ((1 - S) * ELp(n1) + S * sqrt(ELp(n1)^2 + 2 * (Q - 1) * (1 / c11) * (1 / c33) * pn12 * (1 - pn12) / S))^-1\n", + "SHs(n1) = ((1 - S) * ELs(n1) + S * sqrt(ELs(n1)^2 + 2 * (Q - 1) * (1 / c11) * (1 / c33) * sn12 * (1 - sn12) / S))^-1\n", + "\n", + "SHptrue(n1) = SHs(n1)\n", + "\n", + "# Zhang-Uren\n", + "URgpz = 100 * abs(sqrt((SHptrue(sin(x * pi / 180)) / vgptrue(sin(x * pi / 180)))) - 1).subs(S=1 / 2, Q=QZ).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51) # Relative error\n", + "URgplot = parametric_plot([gpx, URgpz], (x, 0, 90), linestyle='--')\n", + "\n", + "SHgpz = 100 * abs(sqrt((SHptrue(sin(x * pi / 180)) / vgptrue(sin(x * pi / 180)))) - 1).subs(S=1 / (2 * (1 + QZ)), Q=QZ).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51) # Relative error\n", + "SHgplot = parametric_plot([gpx, SHgpz], (x, 0, 90))\n", + "\n", + "p = TSgplot + URgplot + SHgplot\n", + "p.show(axes_labels=['phase angle (degrees)', 'relative error (%)'], aspect_ratio=25, frame=True, axes=False)" ] }, { @@ -831,16 +1303,111 @@ ] }, { - "attachments": { - "errgrp4.png": { - "image/png": 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- } - }, - "cell_type": "markdown", - "id": "7f9507ac", + "cell_type": "code", + "execution_count": 9, + "id": "e6f6d129", "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "Graphics object consisting of 2 graphics primitives" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "![errgrp4.png](attachment:errgrp4.png)" + "# Define constants and matrix\n", + "c11, c12, c13, c22, c23, c33, c44, c55, c66 = var('c11,c12,c13,c22,c23,c33,c44,c55,c66')\n", + "M = matrix([\n", + " [c11, c12, c13, 0, 0, 0],\n", + " [c12, c22, c23, 0, 0, 0],\n", + " [c13, c23, c33, 0, 0, 0],\n", + " [0, 0, 0, c44, 0, 0],\n", + " [0, 0, 0, 0, c55, 0],\n", + " [0, 0, 0, 0, 0, c66]])\n", + "\n", + "n1, n2, n3 = var('n1,n2,n3') # components of the normal vector\n", + "nv = vector([n1, n2, n3]).column()\n", + "\n", + "A = matrix([\n", + " [n1, 0, 0, 0, n3, n2],\n", + " [0, n2, 0, n3, 0, n1],\n", + " [0, 0, n3, n2, n1, 0]])\n", + "\n", + "V = M.substitute(c12=c11 - 2 * c66, c22=c11, c23=c13, c44=c55)\n", + "C = A * V * A.transpose()\n", + "e3 = list(map(lambda x: x.full_simplify(), C.eigenvalues())) # Convert map to list\n", + "\n", + "vsphase = sqrt(e3[2])\n", + "vpphase = sqrt(e3[1])\n", + "\n", + "vsgroup = vsphase * nv + (identity_matrix(3) - nv * nv.transpose()) * vector([diff(vsphase, n1), diff(vsphase, n2), diff(vsphase, n3)]).column()\n", + "vsgroup = [vsgroup[0][0].full_simplify(), vsgroup[1][0].full_simplify(), vsgroup[2][0].full_simplify()]\n", + "vsgroup = list(map(lambda x: x.substitute(n2=0, n3=sqrt(1 - n1^2)).full_simplify(), vsgroup)) # Convert map to list\n", + "\n", + "vpgroup = vpphase * nv + (identity_matrix(3) - nv * nv.transpose()) * vector([diff(vpphase, n1), diff(vpphase, n2), diff(vpphase, n3)]).column()\n", + "vpgroup = [vpgroup[0][0].full_simplify(), vpgroup[1][0].full_simplify(), vpgroup[2][0].full_simplify()]\n", + "vpgroup = list(map(lambda x: x.substitute(n2=0, n3=sqrt(1 - n1^2)).full_simplify(), vpgroup)) # Convert map to list\n", + "\n", + "# Further calculations as in your original code\n", + "vgs(n1) = (vsgroup[0]^2 + vsgroup[1]^2 + vsgroup[2]^2).full_simplify()\n", + "vgp(n1) = (vpgroup[0]^2 + vpgroup[1]^2 + vpgroup[2]^2).full_simplify()\n", + "\n", + "vgptrue(n1) = vgs(n1)\n", + "vgstrue(n1) = vgp(n1)\n", + "\n", + "sn12(n1) = (vsgroup[0]^2 / vgs).full_simplify()\n", + "pn12(n1) = (vpgroup[0]^2 / vgp).full_simplify()\n", + "\n", + "pn12true(n1) = sn12(n1)\n", + "\n", + "gpx = (arcsin(sqrt(pn12true(sin(x * pi / 180)))) * 180 / pi).substitute(c11=14.47, c33=9.57, c55=2.28, c13=4.51) # Group angle\n", + "\n", + "# Thomsen's weak anisotropy\n", + "\n", + "epsilon=(c11-c33)/(2*c33)\n", + "delta=((c55+c13)^2-(c33-c55)^2)/(2*c33* (c33-c55))\n", + "TH(n1)=c33*(1+2*epsilon*pn12true(n1)^2+2*delta*pn12true(n1)*(1-pn12true(n1)))\n", + "\n", + "# Muir-Dellinger\n", + "Q,N1=var('Q,N1')\n", + "\n", + "ELp(n1)=(1/c11)*pn12(n1)+(1/c33)*(1-pn12(n1))\n", + "MDp(n1)=(ELp(n1)+(Q-1)*(1/c11)*(1/c33)*pn12(n1)*(1-pn12(n1))/ELp(n1))^-1\n", + "\n", + "ELs(n1)=(1/c11)*sn12(n1)+(1/c33)*(1-sn12(n1))\n", + "MDs(n1)=(ELs(n1)+(Q-1)*(1/c11)*(1/c33)*sn12(n1)*(1-sn12(n1))/ELs(n1))^-1\n", + "\n", + "MDptrue(n1)=MDs(n1)\n", + "\n", + "qz=((2*c13 + c33)*c55 + c13^2)/(c11*c33 - c11*c55)\n", + "QZ = 1/qz\n", + "\n", + "# Shifted hyperbola\n", + "\n", + "S=var('S')\n", + "SHp(n1)=((1-S)*ELp(n1)+S*sqrt(ELp(n1)^2+2*(Q-1)*(1/c11)*(1/c33)*pn12*(1-pn12)/S))^-1\n", + "SHs(n1)=((1-S)*ELs(n1)+S*sqrt(ELs(n1)^2+2*(Q-1)*(1/c11)*(1/c33)*sn12*(1-sn12)/S))^-1\n", + "\n", + "SHptrue(n1)=SHs(n1)\n", + "\n", + "SHgpz=100*abs(sqrt((SHptrue(sin(x*pi/180))/vgptrue(sin(x*pi/180))))-1).subs(S=1/(2*(1+QZ)),Q=QZ).substitute(c11=14.47,c33=9.57,c55=2.28,c13=4.51) # Relative error\n", + "SHgplot = parametric_plot([gpx,SHgpz],(x,0,90))\n", + "\n", + "# Alkhalifah \n", + "\n", + "v,h,q=var('v,h,q')\n", + "TA(a,b)=1/(b*sqrt((b^2*h^4*q^2*(b^6*h^6*q^3 - 3*a^2*b^4*h^4*(-3 + q)*q^2*v^2 + 3*a^4*b^2*h^2*q*(1 + 2*q)*v^4 + 4*a^6*v^6))/((b^2*h^2*q + a^2*v^2)*(b^6*h^6*q^4 + a^2*b^4*h^4*q^2*(1 + 5*q)*v^2 + a^4*b^2*h^2*q*(-13 + 22*q)*v^4 + 4*a^6*v^6))) + a*v*sqrt((a^2*b^6*h^6*q^3*(1 + 3*(-1 + q)*q)*v^2 - 6*a^4*b^4*h^4*q^2*(2 + (-4 + q)*q)*v^4 + 9*a^6*b^2*h^2*q*(-1 + 2*q)*v^6 + 4*a^8*v^8)/(b^8*h^8*q^4 + a^2*b^6*h^6*q^3*(10 + 3*(-2 + q)*q)*v^2 - 3*a^4*b^4*h^4*q^2*(3 + 2*(-5 + q)*q)*v^4 + a^6*b^2*h^2*q*(-5 + 18*q)*v^6 + 4*a^8*v^8)))^2\n", + "\n", + "TAgpz=100*abs(sqrt((TA(sqrt(1-sn12(sin(x*pi/180))),sqrt(sn12(sin(x*pi/180)))).substitute(v=1/sqrt(c33),h=1/sqrt(c11),q=1/(((c55 + c13)^2 + c55*(c33 - c55))/(c11*(c33 - c55))))/vgptrue(sin(x*pi/180))))-1).substitute(c11=14.47,c33=9.57,c55=2.28,c13=4.51) # Relative error\n", + "TAgplot = parametric_plot([gpx,TAgpz],(x,0,90),linestyle='--')\n", + "\n", + "p = TAgplot+SHgplot\n", + "p.show(axes_labels=['phase angle (degrees)','relative error (%)'],aspect_ratio=200,frame=True,axes=False)" ] }, { @@ -915,16 +1482,96 @@ ] }, { - "attachments": { - "timepp.png": { - "image/png": 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AAHanWo5uejqWlyMilpZifLy6sa6WLGkslabxWFNDV3l3GWroAACIKF0u5V/M7+xjyLfke1p61qbm2u9rb7qrybMDwO7Q0Ok4v4/hJgYHB7/xjW9sRWscQJ0aHo5CIdrbw6EPAACgPtRhNVxl4f9CIe6/P7q7XacIAADsIbWlQNauCfLEE9ferbKySUUtRzc7GzMz1Y1bvA5w46kt/nKDmalUlIcaOgCAvae0WNrxxzC5ODm5eG2p9NyTc53NzkQBYIe56h021Nra+l/+y385fvy4qQD2kNXVeOyxyvDtf9f50eLn7i78rrAcAADANr8zq7dquMHBOHYsjhyJ3t44cMDlhgAAADfX1LR+jq5meLg6yLJI0+q41kFXy9GlaR11hu+4hYVbShXWaugqb2ZjTQ1dLlfdBQAAmyK51/klAOy8fQ3Ucwfrev7557/85S9v7vdsbW39y7/8yy9+8Yu5rV/y+vr2yWioAkpgtymXo6tr/V0vvRRDQ2YIAABg09VbNVw+H5/9bPT1RaGgFA4AAKC+3j9mWUTElStR+pfmjImJarhOju5DqdXQRcTAQHVQq6GzdigAQJ2eEmdp9l42fnE8IkbPj6ZZOja3wyfB7590xS8Au8T12ZYGCrZIx7EbrK6u/vSnPz19+vS3vvWtycnJO/lWxWLxr/7qr/r6+pq262NO6TigvgwP17rjrvF//j//659+4T890vFIbr/rIgEAAG5ffVbDFQpx//3R3a0XDgAAYDcol6uDS5fiwoXqeHS0Opiaiju7tmIPUUMHAFD/snez9J10Op1e/uXyxPxE+k468sbI9vzofEv+9S+97ikAYHeQjoM6srq6Oj8/Pz09/aMf/WhmZiZN07EbXmHU2tra398/MDBQKBTa29ubtn3tL+k4oL48+WQ899y6ez72F5Htj2JX8ezjZ80TAADAravF4SYm4pVXdv4CxFo1XG9v3H+/ajgAAIA97foc3dJSjI9XN46MmKFbMjhYHdRq6Hp748CBCDV0AAA7ZPXXq/Nvz196+9KFn1+oRObOzZ1byBY2+TzwwcHhR4fNNgC7g3QcNIY0TbMsi4hcLpfUzfpd0nFAffmt31r3Os2Fj8Whr0ZEnBk6c/yB4+YJAADgxtI0fvjD+NGP6qIdTjUcAAAAd/4+N8siIqanY3k5ImJ2NmZmIjTR3bJ8Pnp6ItbU0DU3R3d3hBo6AIBtVF4uX/nVldJiaXZpduatmanFqcnF2z+dPfXZU1975GtmFYDdQToO2MwjSEjHATsly+JjH1t3z8iDMfS/R0SsPLWS269WAAAAYJ13VG++GaVSjI7u8Mr6quEAAADYEZXu9Ii4ciVKperG0dHqQA3dLbpBDV2SeJsPALAl0izN3sum0+nlXy5/qKK5lz7/0lDvUL39c177p9d+vPDjgx892NvSe+AjB9rva2+6S50xADcnHQds5hEkpOOAnVIqRT6/7p7HPh/D+Sh2Fc8+ftY8AQAAVJTLMT4eExPxyis7uUy+ajgAAAAaSK2G7tKluHAhYk0NXZrufAF7Q6jV0CVJ9PVFrKmhi/DhAADApikvlyNi/OJ4RIyeH42IkTc+sOrD5H+Y7P1kb7097OHS8GP/8Ng1G4tdxSSXFA4Xaqm5zmYnjgB8gHQcsJlHkJCOA3bsbfFwPPbYunu6nozyb8SZoTPHHzhungAAgD0rTeP8+fjud+N739uxy/VUwwEAALDr1WroImJ8vDqo1dCdOxcLCybp5mo1dIVCHDwYoYYOAGCT1FJzf/Lv/iS3v+7Oq578zpPP/eC5Wz1pfHAwIgaODkRE4XAhIqTmAPYs6ThgM48gIR0H7KAs6/9ax78p/38D56O/HK0r1c13/6dY/Vex8tRKHb6ZBwAA2Dqrq/HTn0apFKOjO3btnWo4AAAAWJcaujt3fQ1dRBQK1YEPIgAAGtHQt4au6bi7DYMPDib3Jn3tfc33NHcn3bm7c0kuMbcAu5t0HLCZR5CQjgN2TulyKf9ivnYz927c/7PovRzD+Sh2Fc8+ftYUAQAAu165HNPT8Y//GK+8EpOT2/3TVcMBAADApr/Tr6jV0E1MRJpGqKG7ZcViJEnEmhq6jo5oa4tQQwcAUH8OPXNoIduS09zWXGt/V//a1Fxyb2LBfYBdQzoO2MwjSEjHATvn6VefPvnKyXV3nRk6c/yB46YIAADYfbIsfvKT+PGP4+WXd2BdedVwAAAAUA8fDlTycrUauqWlappODd0tam2N/v4INXQAADtt36l92/wT8y35npaeY584duTgkY6Pd7Td1yY1B9CQv0Gk44BNPIKEdBywc26wbMzKUyverwIAALvD6mrMz8f4eIyObvci8a2t8YUvqIYDAACAhnSDGrqpqR2ooG9EtRq6Y8fiyJGINTV0uVx1FwAAty3N0pZnWurkwVRSc4XDhYMfPfgH9/9BknO2B1DXpOOAzTyChHQcsENKl0v5F/Pr7ip2Fc8+ftYUAQAAjatcjunp+NGP4lvf2u6L1SrtcI88Ig4HAAAAu1+thu7KlSiVItbU0EXEyIgZurlaDV1EDAxUB7Uauvb2aGoySQAA6ysvl7ue7arDB3Zm6MzxB457ggDqWUOn43xUAABUnZ45vdGuEw+dMD8AAEBjybJ488149dUYH9/uK8/y+Xj00fj0p6O7Ozo7PRUAAACwh+RyVxfH6e2tDp54ojoYHq4OajV009OxvByhhm6NhYWrH+bc4FMdNXQAANe78qsr9fnAupNuzw4AW0d3HOz0i1B3HFA3Dj1zaCFbWHfXylMruf0KDgAAgLq2uhrz8zE+HhMT8c1vxsLC9v3oyormAwNRKFi/HAAAANgc19fQRcToaHWghu4WDQ5WB7Uaut7eOHAgQg0dALB7rf56df7t+Su/ulJaLC39Ymn84niapWNzYzv4kBa/upjkLGAAUNcaujtOOg7q7ggS0nHATihdLuVfzK+7q9hVPPv4WVMEAADUoTSNH/4wfvSj+N73Ymx7/6JXLMaf/El86lPx2799dUl4AAAAgG2WppFlEWtq6GZnY2YmQg3dLcvno6cnYk0NXXNzdHdHqKEDAHaXtam52aXZmbdmphanJhe345Tx/ZMujQaodw2djrP6DQAQEXF65vRGu048dML8AAAA9aOSiPvHf9zugrh8Pj772fijP4ru7ujs9DwAAAAAdSFJqvGtG3xesboa8/MRaug2MDl5SzHCG9TQJYnlkwCABtB0V1Nnc2dE9H6yd+327N0sfSe99PalCz+/sBWpuXxL3uQDsKV0x8FOvwh1xwH14dAzhxay9a8qXXlqJbffB/kAAMBOyrL4yU/iu9+NF17YvkRca2v098fAQPT2xm/+ZjRZagwAAADY1Wo1dJcuxYULEWtq6NI0xsbM0M3VauiSJPr6ItTQAQANfX6Ypdl72XQ6vfzL5Yn5ifSd9NzcuY2uM7yBwQcHhx8dNp8AdU53HADQ2EqXSxu9ZS12FUXjAACAHVFLxH3rW7e0evemKBbj934vfv/34+hRlysBAAAAe8vaGrqHH17/PrUauogYH68OajV0585t38JG9em2a+gKheqgvd0iTQBA3Zwf5pIkkkrd3FDvUG379am5kTdu1Ed87BPH6vBfV14udz3b1Zpr7e/qT+5N+tr7IqJwuBAR7fe1N93lnAygkeiOg51+EeqOA+rA068+ffKVk+vuOjN05vgDx00RAACwPbY/EZfPx2c/G319UShEZ6dnAAAAAGATqKG7c8ViNax47FgcORIR0dERbW0REUkSOYvcAgD1p7xcjojxi+MRMXp+NCIqqbmXPv/S2nBdnfj2//j2Hw//8Y3Ox7qKSS459oljRw4e6fh4R9t9bbm7c0nO+prArtXQ3XHScVB3R5CQjgO23aFnDm3UHbfy1IruOAAAYEttfyJucDAGBqK3N+6/34VEAAAAADumXK4OajV0ExORphFq6G5Na2v090dEJEn09VU31mroLAUFANSJ7N2sDq9CHC4NP/YPj93OOViutb+rPyIGjg6EujlgF5GOAzbzCBLSccD2Kl0u5V/Mr7ur2FU8+/hZUwQAAGy6bU7EFYvxe78Xn/50fOYz1SW3AQAAAGgIWVbNy9Vq6JaWqmk6NXS3aHCwOigU4uDBiIje3jhwICKivT2aXMUNAOxJT7/69MlXTm7u91Q3BzS0hk7HeWsLAHvd6ZnTG+068dAJ8wMAAGyW7UzEtbbGF74QfX1RKLjEBwAAAKCB5XKRy0VEdHbGww9XNz7xxLV3u0EN3dTUdizPVM9GRq4dXC+fj56eiIhjx+LIkYiI5ubo7q4+BRacAgB2n5m3Zjb9e47Nrb94g7o5gK2mOw52+kWoOw7YaYeeObSQLay7a+WplTosNAcAABrIdibiBgejUIhHHon7769eMgUAAAAANbUauitXolSKWFNDFzdMjlHR2hr9/dXxwEB1UChUB9aoAgAay2+98FuTizu/iMI1dXNH//VRXXPATmno7jjpOKi7I0hIxwHbqHS5lH8xv9GbrrOPnzVFAADAh7W6Gj/9aZw+vU2JuIGBKBSis9PEAwAAALAJajV009OxvByhhu5DKharXXOFQhw8GBHR0RFtbRERSWJZKwCgXuw7ta8OH9VXfucrz37uWc8OsDMHxkZOx1mtBQD2tNMzpzfadeKhE+YHAAC4RZVE3Kuvxssvx9jY1v4siTgAAAAAtk7tQ6faYGjo2vtcX0MXEaOj1cEer6GrfTx4g3nI56OnJyIiSaKvLyKiuTm6u6+deQCALbL669X6fGB97X2eHYDboDsOdvpFqDsO2FGHnjm0kC2su2vlqZXcfou2AQAAG5KIAwAAAIAbSNPIsgg1dLdrcLA6GBioDnp748CBiIj29mhSDQAA3K7s3ezl//7yxPxE+k46tTg1uVgvZ2Znhs4cf+C4JwjYEQ3dHScdB3V3BAnpOGC7lC6X8i/m191V7CqeffysKQIAAK4hEQcAAAAAm6hWQ3fpUly4EBGxtBTj4xERabrlH8HtAsViJElExLFjceRIRERHR7S1RUTkctVdAAA3Pyt7N0vfSa/86kppsbT0i6Xxi+MRMfLGdpcCzz0519nc6ekAdoR0HLCZR5CQjgO2y9OvPn3ylZPr7rIACQAAUCMRBwAAAAA7q1yuDirBuYgYHa0Ozp2LhQUzdCOtrdHfHxGRJNHXV91YKFQHPooEAG5yJrZcjojpdHr5l8tbXTcnHQfsIOk4YDOPICEdB2yXQ88cWsjW/4x85amV3P6cKQIAgD1rOxNxxWJ88YsScQAAAABwR9I0siwiYno6lpcjImZnY2YmImJqKiYnzdBN1GroCoU4eDAiorc3DhyIiEiSyLmGAgD4oK2om3v/ZD1eQ/7t//Ht7qQ7IiT3YHeTjgM28wgS0nHAtihdLuVfzK+7q9hVPPv4WVMEAAB7ULkco6PblIj7kz+JRx6J3/zNaGoy8QAAAACwHVZXY34+IuLKlSiVIiKWlq720Y2MmKGbyOejpyci4tixOHIkIqK5Obq7IyJyuWq4DgBgbd3c7NLszFszt1g3V5/puH2nPnC5++CDgxFROFw4+NGDvS29Bz5yILk30ccAu4B0HLCZR5CQjgO2xdOvPn3ylZPr7jozdOb4A8dNEQAA7BFZFj/5SXzzm/HNb8bCwhb+IIk4AAAAAGgI5XJ1UKuhm5iINI2IOHduaz9F3B0GB6uDgYHqoFCoDtrbfToKAHvX6q9X59+er9TNRcTo+dFYUzc3+ODg8KPD9faYs3ezj/3Nx27lnvmWfE9LT3Jv0tfe13xPs7o5aDjSccBmHkFCOg7YFoeeOfS//deFgfMxejTGD8f8fbH6r6q7Vp5asYwHAADsettTEycRBwAAAAC7UpZV83KXLsWFCxERs7MxMxMRkaZb+6nj7lAsVrvmCoU4eDAioqMj2toiIpIkcq7aAIA9Js3SiEhydddFW14udz3bdYffRN0cNATpOGAzjyAhHQdsvdLlUv7F/NlvRPHNqxsnPxmvdEb2qQefevr/JjbQhQAAIABJREFUrX4ECwAA7C7bUxMnEQcAAAAARMTqaszPV8fj49XB6Gh1MDJihm6itTX6+yMikiT6+iIimpuju7u6t7PTDAEAW65yuekWfXN1c1BXpOOAzTyChHQcsPWefvXpk6+cfP+vNtg9OBjDw2YJAAB2jW2oiZOIAwAAAABuT5pGlkVETE/H8nJExMREtZhuaiomJ83QTQwOVge1Grre3jhwICKivd0HtgDAHRkuDT/2D4/twBmOujnYdtJxwGYeQUI6Dth6h545dM/8wtyzG+z++tfjiSfMEgAANLTV1ZiYiO9+N154Yatq4iTiAAAAAIDtkWXVvNyVK1EqRUQsLVX76NJ0C9cF2zXy+ejpiYg4diyOHImI6OiItraIiFwuksQMAQDre/4Hz3/5O1+un8fTmmvt7+pP7k2e/dyznh3YXNJxwGYeQUI6DthilZ7r4+fjzEb9cN//fjz8sIkCAIBGlKZx9mz8/d9v1eUgEnEAAAAAQN0ql6uDSnAu1tTQnTu3VeuI7RqtrdHfXx0PDFQHhUJ10NlphgBgLxr61tDIGyN1d96Sa/3nr/6zZwc2V0On41zAAgB7zumZ0xHx6f+58T2OHjVLAADQQLa6Ji6fj0cfjd///fjt345cznwDAAAAAHWqluCqDYaGrr1PmkaWRURcuhQXLkREzM7GzExExNRUTE7u3dlbWIiRf7n0fWTja+CLxWrXXKEQBw9GRPT2xoEDERFJ4jNkAGA79Hf1mwRgLd1xsNMvQt1xwLY79MyhhWzh7Dei+OYG93AUAgCARrClNXEScQAAAADAnrW6GvPzERFXrkSpVN04OlodjIyYoZvI56OnJyIiSaKvLyKiuTm6uyMicrlquA4AaAhplmbvZZfevnTh5xdml2Zn3ppJs3RsbmxnH9Xgg4PDjw57dmBzNXR3nHQc1N0RJKTjgK1UulzKv5iPiPf/aqM3DYMx7D0DAADUqa2uiRscjH//7+Mzn3F1AgAAAADATZTL1cH0dCwvR0RMTESaRkScO7clH+HuMoOD1cHAQHVQq6Frb4+mJjMEAPVr9der82/PR8T4xfGIGD0/GhHn5s4tZNtxDvTS518a6h3yLMDmauh0nHcPALC3nJ45HRG5d+O5vvhsOfKXr7tHoWCWAACg3mxDTdyf/Vn85m+62gAAAAAA4FZ1dl47GLruIu0sq+blLl2KCxciIpaWYnw8IiJNt+Qj3wZSa+G7QR1fsVhdze3YsThyJCKioyPa2iIikiRyOf8bAsDOaLqrqbO5MyIq/12bVavPujlgd9MdBzv9ItQdB2yvQ88cWrsyR+7duP9n0Xs5Bs7H/5G23HV5Mb7//Xj4YRMFAAA7Tk0cAAAAAMBesLoa8/PVcSU4FxGjo9WBGrqbam2N/v6IiCSJvr7qxtrq0LXsIgCw48rL5fiXurmJ+Yn0nfT26uYm/8Nk7yd76+1f9/wPnq/80waODkREb0vvgY8cSO5NcvsF+mkMDd0dJx0HdXcECek4YMuULpfyL+bX3VXsKp59/GxkWXzkI9oiAABgB6mJAwAAAADgemkaWRYRMT0dy8sREbOzMTMTEf8/e3ccG+d53wn+K5Xp7mairiDsqGNIWVELtdBK5dh7RsM7MoUrmHH3XAFG1gsapAMBQiogclIZrgIUdtBI8mEdGLBgWGksA/KiQFCRkNA9Q4CcIgkXirGVDmzOt9CwVIRUV49qCWE0PUEbedJtPIjuD01sxyYlkRyKM+Tn89fDefi8kH+jefR63vf7/jI5mUpFhW5jaKg56OvLmjVJ0tOTVauSZP1635kDwGKq/6xe+2ntZru5q/949czbZ27dbu6tJ9+62bOurQz/l+HRv5m+JW6pUNq2cVuSvk/2rfkXazb8yw3rfm1d4WOFYsGzbGkj0nFAK3eQSMcBC+bZN57d97190069Pvz6w7/xsBIBAMBimZjIa69pEwcAAAAAwNzV66nVkuT69UxMJMnVq+/3oxsdVaHbKJezdWuSbN6cTZuSZPXqbNmSJIWC79gBYBFM227u7T96u2tl20XbP/PNz9wi0XcLQ781lGTzv9q8ac2m1f989ZbiliRtGP9jyZOOA1q5g0Q6Dlgw97xwz0wdqN95+h29mwEA4O5buFCcNnEAAAAAAEyrWm0O3gvOjY83Y3WnTi3IQ9yWklIp27Y1x9u3Nwd9fc2BNnQAsGytOLCi5ccc2DhQLBSLHy/2ru9N0vfJviTrf219G4YDWQp/h6XjgBbuIJGOAxbGxI8nyq+UZzp7/u6O7yoRAADcHY1Gxsdz/HiOH2/9TQbaxAEAAAAAMH+1Wur1JLl8ORcvJsmFCzl/vjk1NqZCtzEw0Pyivq8va9YkyYYNWbcuSYrFFDzCGgCWnIVIx91CeW1569qtSbb/5vYkPWt7Vv2zVcWPF7XKYO5/h6XjgBbuIJGOAxbGs288u+97+6aden349Yd/42ElAgCABfVeKO7QoRYfuVTK7t3axAEAAAAAcFc1Grl0KUmuX8/ERPPFkyebg9FRFbqNcjlbtyZJsZje3iRZvTpbtjRnu7tVCAA6RvVadeNLG9vkD1MqlLZt3Jak75N9O+/bKS/HHZKOA1q5g0Q6DlgY97xwz1R9+rYU7zz9jnNfAABYIPV63ngj3/5260NxAwPZuTOf+Yw2cQAAAAAAtK/32tCdO5dr15JkfDy1WpJMTqZSUaHbGBpqDrZvbw56erJqVZKsX++peQDQFtoqHfdBbz35Vvfqbm8Qd0I6DmjlDhLpOGBh1Oq1Y5PHjrx5pHLll75WHNg48N0d31UfAABorZuhuBdfzNhYKw97s03cgw+mt9cFbwAAAAAAloh6vZmXu3w5Fy8mydWrOXMmSWq1Fn/TviS914Zu8+Zs2pQkGzZk3bokKRQ8ZQ8AFty3/vZbvz/y+234B5OO485JxwGt3EEiHQcssA/F5F4ffv3h33hYWQAAoDXn27V8//utD8VpEwcAAAAAANVqc3AzOJfk5Mnm4NSpTE2p0K2UStm2LUmKxfT2Nl/s62sOurtVCADm7vTfn/7G978xeWXyQx0sFt2NfYIJ3CnpOKCVO0ik44C75WZMbud9Owu/WlANAACY19l1LceO5ciRVFr3Rbc2cQAAAAAAMFu1Wur1JDl3LteuJcmFCzl/PkkmJ1v5Nf5SNTDQfFRfX1/WrEmSnp6sWpUkxWIKbjICgNtp/Lxx6SeXkpx5+0ySC1cvnP+H87V6beytReiHKx3HnZOOA1q5g0Q6DgAAADrEQoTiyuXs2pXHHtMmDgAAAAAAFkSjkUuXkuT69UxMJMnVq+/3oxsdVaHbKJezdWuSbN6cTZuSZPXqbNmSJIWCCxwAcCvVa9Uk52rnrv3Pa1f/8erNBN3o3yzI+cfAxoHv7viumnOHpOOAVu4gkY4DAACA9jYxkddey+HDmZpq2TEHBvLUU3ngAU9dBQAAAACAtlCtNgfvtaEbH0+tliSnTrXyGsFSNTTUHGzf3hz09TUH69enq0uFAOCX1Oq1+rv1yz+5fPF/XExy8ocnk5x669RUfY6nHUO/NTTy6EjbnWJdq258aWOSgY0DxUKx+PFi7/reJH2f7Euy/tfWd610lrA4pOOAVu4gkY4DAACAtiQUBwAAAAAAfFC93szLXb6cixeT5MKFnD+fJLVaxsZU6DYGBpq95t5rQ7dhQ9atS5Ji0dUTAPjFKcfP6rWf1q7/0/WJKxNJxi+N135am7wyWblSucWqA7974KsPfLXd/lsmfjxRfqV8698pry1vXbs1yfbf3J6kZ23Pqn+2qvjxYuFXnRwsIOk4oJU7SKTjAAAAoG00Ghkfz/HjOX68laG4PXsyOJj77nNZFwAAAAAAlrhGI5cuNcdnzjQHJ082B6OjKnQbpVK2bUuSYjG9vUmyenW2bGnOdnerEADL+0zj541LP7mU5MzbZ5JcuHrh/D+cr9VrY2+NHf0PR4d7htv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- } - }, - "cell_type": "markdown", - "id": "762d21c7", + "cell_type": "code", + "execution_count": 10, + "id": "68ade98c", "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "Graphics object consisting of 3 graphics primitives" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "![timepp.png](attachment:timepp.png)" + "c11,c12,c13,c22,c23,c33,c44,c55,c66=var('c11,c12,c13,c22,c23,c33,c44,c55,c66')\n", + "M = matrix([\n", + "[c11, c12, c13, 0, 0, 0],\n", + "[c12, c22, c23, 0, 0, 0],\n", + "[c13, c23, c33, 0, 0, 0],\n", + "[0, 0, 0, c44, 0, 0],\n", + "[0, 0, 0, 0, c55, 0],\n", + "[0, 0, 0, 0, 0, c66]])\n", + "\n", + "n1,n2,n3=var('n1,n2,n3') # components of the normal vector\n", + "nv=vector([n1,n2,n3]).column()\n", + "\n", + "A = matrix([\n", + "[n1, 0, 0, 0, n3, n2],\n", + "[0, n2, 0, n3, 0, n1],\n", + "[0, 0, n3, n2, n1, 0]])\n", + "V=M.substitute(c12=c11-2*c66,c22=c11,c23=c13,c44=c55)\n", + "C=A*V*A.transpose()\n", + "e3=list(map(lambda x: x.full_simplify(), C.eigenvalues()))\n", + "\n", + "vsphase=sqrt(e3[2])\n", + "vpphase=sqrt(e3[1])\n", + "\n", + "# Ensure vsgroup is a list before simplification\n", + "vsgroup = list(vsgroup) # Convert map object to list\n", + "vsgroup = [vsgroup[0].full_simplify(), vsgroup[1].full_simplify(), vsgroup[2].full_simplify()]\n", + "vsgroup = list(map(lambda x: x.substitute(n2=0, n3=sqrt(1-n1^2)).full_simplify(), vsgroup))\n", + "\n", + "# Ensure vpgroup is a list before simplification\n", + "vpgroup = list(vpgroup) # Convert map object to list\n", + "vpgroup = [vpgroup[0].full_simplify(), vpgroup[1].full_simplify(), vpgroup[2].full_simplify()]\n", + "vpgroup = list(map(lambda x: x.substitute(n2=0, n3=sqrt(1-n1^2)).full_simplify(), vpgroup))\n", + "\n", + "vgs(n1)=(vsgroup[0]^2+vsgroup[1]^2+vsgroup[2]^2).full_simplify()\n", + "vgp(n1)=(vpgroup[0]^2+vpgroup[1]^2+vpgroup[2]^2).full_simplify()\n", + "\n", + "vgptrue(n1)=vgs(n1)\n", + "vgstrue(n1)=vgp(n1)\n", + "\n", + "sn12(n1)=(vsgroup[0]^2/vgs).full_simplify()\n", + "pn12(n1)=(vpgroup[0]^2/vgp).full_simplify()\n", + "\n", + "pn12true(n1) = sn12(n1)\n", + "\n", + "\n", + "# Muir-Dellinger\n", + "Q,N1=var('Q,N1')\n", + "\n", + "ELp(n1)=(1/c11)*pn12(n1)+(1/c33)*(1-pn12(n1))\n", + "ELs(n1)=(1/c11)*sn12(n1)+(1/c33)*(1-sn12(n1))\n", + "\n", + "qz=((2*c13 + c33)*c55 + c13^2)/(c11*c33 - c11*c55)\n", + "QZ = 1/qz\n", + "\n", + "# Shifted hyperbola\n", + "\n", + "S=var('S')\n", + "SHp(n1)=((1-S)*ELp(n1)+S*sqrt(ELp(n1)^2+2*(Q-1)*(1/c11)*(1/c33)*pn12*(1-pn12)/S))^-1\n", + "SHs(n1)=((1-S)*ELs(n1)+S*sqrt(ELs(n1)^2+2*(Q-1)*(1/c11)*(1/c33)*sn12*(1-sn12)/S))^-1\n", + "\n", + "SHptrue(n1)=SHs(n1)\n", + "\n", + "gsin(x)=(sqrt(pn12true(sin(x)))).substitute(c11=14.47,c33=9.57,c55=2.28,c13=4.51) # sine of group angle\n", + "gcos(x)=sqrt(1-gsin(x)*gsin(x)) # cosine of group angle\n", + "\n", + "TS(n1)= (1-sn12(n1))/c33 + (sn12(n1)*(-c55 + c33)*(sn12(n1)*c33*(-c55 + c33) + (1-sn12(n1))*(c13^2 + c55*(c33 + 2*c13))))/(c11*sn12(n1)*(c55 - c33)^2*c33 + (1-sn12(n1))*(c13^2 + c55*(c33 + 2*c13))^2)\n", + "\n", + "SHplot = parametric_plot([gsin(x)/gcos(x),2000/gcos(x)*abs(1/sqrt(SHptrue(sin(x)))-1/sqrt(vgptrue(sin(x)))).subs(S=1/(2*(1+QZ)),Q=QZ).substitute(c11=14.47,c33=9.57,c55=2.28,c13=4.51)],(x,0,1.33))\n", + "ZUplot = parametric_plot([gsin(x)/gcos(x),2000/gcos(x)*abs(1/sqrt(SHptrue(sin(x)))-1/sqrt(vgptrue(sin(x)))).subs(S=1/2,Q=QZ).substitute(c11=14.47,c33=9.57,c55=2.28,c13=4.51)],(x,0,1.33),linestyle='--',color='green')\n", + "TSplot = parametric_plot([gsin(x)/gcos(x),2000/gcos(x)*abs(sqrt(TS(sin(x)))-1/sqrt(vgptrue(sin(x)))).substitute(c11=14.47,c33=9.57,c55=2.28,c13=4.51)],(x,0,1.33),linestyle=':',color='red')\n", + "\n", + "p=SHplot+ZUplot+TSplot\n", + "p.show(frame=True,axes_labels=['offset (km)','absolute time error (ms)'],aspect_ratio=1/4,axes=False)" ] }, { @@ -1664,9 +2311,9 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" + "display_name": "SageMath 10.4", + "language": "sage", + "name": "sagemath" }, "language_info": { "codemirror_mode": { @@ -1678,7 +2325,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.5" + "version": "3.12.4" } }, "nbformat": 4,