{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Field rotation\n", "\n", "Finite-difference fields (in `discretisedfield`) are always discretised in the $x$, $y$, and $z$ direction and hence aligned with the coordinate axes. Several operations, such as cutting planes or computing integrals, are only possible along the coordinate axes. In this tutorial we demonstrate how to rotate a `field` in an arbitrary direction (multiple consecutive rotations are possible as well). Rotations can be applied to scalar (`dim==1`) and vector (`dim==3`) fields only. Periodict boundary conditions are currently not supported (ignored and lost during the rotation process).\n", "\n", "The rotation of a field allows for more flexibility:\n", "\n", "- cutting planes in arbitrary directions => plots of arbitrary cut planes\n", "- computing integrals along arbitrary direction\n", "- ...\n", "\n", "This additional flexibility is predominantly needed to simulate experiments using `mag2exp` but can be used on its own. However, the limitations of this method need to be taken into account. The result of the rotation is a new `field`, and therefore discretised along (the new) $x$, $y$, and $z$ direction. This can introduce a number of numerical (maybe also systematic) errors:\n", "\n", "- Remeshing requires to choose a new cell size (done automatically by default). This can introduce errors if either cell size (volume) or the number of cells change. Care from the user is needed to ensure that either change is compatible with the respective use case.\n", "- Interpolation of the `field` values onto the new finite-differences grid introduces additional numerical errors.\n", "\n", "In general, multiple consecutive rotations of the same `field` would result in an accumultation of errors. To prevent this we use a special object to rotate the `field`. Consecutive rotations are collected and the actual rotation of a field is always computed starting from the unrotated original field.\n", "\n", "This tutorial is divided into two parts. In the first part we explain the different methods to rotate a field by looking at a few examples. The second part explains the different steps of the rotation process in more detail.\n", "\n", "## Rotating a field\n", "\n", "### Original field\n", "\n", "Let us first define a field to work with." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import discretisedfield as df\n", "import numpy as np\n", "\n", "p1 = (-50, -30, -10)\n", "p2 = (50, 30, 10)\n", "n = (15, 15, 6)\n", "mesh = df.Mesh(p1=p1, p2=p2, n=n)\n", "field = df.Field(mesh, dim=3, value=(0, 1, 1))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "field.plane('z').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `FieldRotator`\n", "\n", "Rotations of the `field` are handled by a special `FieldRotator` object." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "field_rotator = df.FieldRotator(field)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "FieldRotator\n", "" ], "text/plain": [ "FieldRotator(unrotatedField(Mesh(Region(p1=(-50, -30, -10), p2=(50, 30, 10)), n=(15, 15, 6), attributes: (unit: m, fourierspace: False, isplane: False)), dim=3, components: (x, y, z)), rotation_quaternion: [0.0, 0.0, 0.0, 1.0])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "field_rotator" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `field_rotator` is initialised with an identity rotation matrix (initially no rotation is applied). The rotation matrix is not directly accessible. Instead, it can be modified using the `rotate` method explained in the following.\n", "\n", "### Rotation methods\n", "\n", "The `field_rotator` can rotate the `field` using the `rotate` method:\n", "```python\n", "field_rotator.rotate\n", "```\n", "\n", "Several different methods can be used to specify rotations. Internally, `scipy.spatial.transfom.Rotation` is used to represent and apply rotations. For details on the different methods please refer directly to the [scipy documentation](https://docs.scipy.org/doc/scipy/reference/generated/scipy.spatial.transform.Rotation.html) of the relevant method. Available methods are:\n", "\n", "- `from_quat`\n", "- `from_matrix`\n", "- `from_rotvec`\n", "- `from_mrp`\n", "- `from_euler`\n", "\n", "In addition there is the method\n", "\n", "- `align_vector`\n", "\n", "which is slightly different from the scipy method `align_vectors`. See below for more details on this method.\n", "\n", "### Rotations by multiples of 90°\n", "\n", "We now show an example using Euler angles to rotate the `field` by 90° around the $x$ axis:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "field_rotator.rotate('from_euler', seq='x', angles=np.pi/2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The field has now been rotated internally. The rotated field can be accessed as:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "Field\n", "" ], "text/plain": [ "Field(Mesh(Region(p1=(-50.0, -10.000000000000007, -30.000000000000004), p2=(50.0, 10.000000000000007, 30.000000000000004)), n=(15, 6, 15), attributes: (unit: m, fourierspace: False, isplane: False)), dim=3, components: (x, y, z))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "field_rotator.field" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To see the effect of the rotation we can again plot a cross section in the xy-plane. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "field_rotator.field.plane('z').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now apply a second rotation about the $z$ axis, again by 90°. For demonstration purposes we use a different method `'from_rotvec'`. We have to pass a vector that specifies the rotation axis and whose norm gives the angle of rotation." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "field_rotator.rotate('from_rotvec', [0, 0, np.pi/2])\n", "field_rotator.field.plane('z').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is possible to clear all rotations." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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1HpJ/NBF7ZiaugQNw9c4Wmv8TLK8gY+6NYLGQNGkitpQUYdoQHqlrd81VAKRddilyUiubhoHWolesErOBP3HcGKyJiaBpxA8eJHS4U7NaSZpwHhaHA2xWksafK3RIzJaWRsKI4WgWDavbTdL4c4VpAzh79sDZp3f4t9qlkTByhFD9+MGDsHfqCEBc167Ch1MTx4zGmpwEmoZ7QH8cnTOFaWsWS7ht4+LQrBYSx47BGi9meimALTmJxFHnoFksWJxOkiaMFzrfO65bN1x1+9uakkzCqHOEaQMN9rejcybuAf2F6ieMOgdrSjIArn59ievWTZi2pmkkTRiPxelEs1hIHHUOtqQkYfrWeDeJY8eg2axY4uJImnCe0Edcjs6ZuAcOCP9WcpLwxwjunH7RR5b2Th2FP15sDqrH3zxi9y9XKBQKhSIGaTXJfQqFQqFQNAVl0tM8VOBXKBQKRZsklo12WoIK/AqFQqFok6gef/OI6cBviXdjT28vTd+anIzmcEjTt7Vrj0VwVnYETdOwZ2RgOcYkSRQWhx17RobQOd4N9N1u7BnpUrQhnDwlOmO9Pra0tHDyqSTsGRniZ2vUodkibSvHnMricmHPyJCiDWBNTMTWTlzdimOxpaZiFZg0eCz2DhlYBPmZHItms4WPHUnGY03FUD3+ZqGZsgpenyWa6s5nmqY0lyzZ+m1525X+2dNW+mdXvy1ve3P1Zbnz3fvd1S36/lND/k/QlrQtYvp2yQyFqP12kzT9QOkh/PWKpYjGsyVXmskNQO3X30jTlq1vGga133wrTT945IiUkq4R9IICaSY3EN73Mu/5pbataUrVD9XUhiv4ScK7Y6dUk5vab76V6qop+7rQFEKm1qJXrBLTgd+7q5DajV9L05fuzvfd5nDNfklUrv2IQF15VNEYXi8V766SZg3r37OH6s83SNGGOiOXLfIc1jzf50ozuQGo+vQzAgfkmNwYgQDl766SYnIDYZOhqs/k2Wnr+fl4vpfXtvoWudeF6s834N8jx1XTDIWoeHeV1A5HUzBMrUWvWCWmA7+emyfN5AbCwUGatWqdyZA0B7c6kyFZZhz61m3h8rESTG4gvO9lmdxAnW2uJCMU0zTR8+QdOxGTIVn63h07MKqrpY2IeHLzpJncRPRlmdxETIZknVchT9hkSFbb+gqLCFVXh8tutwKULW/ziNm/PFwTPU9azenICRgoCZvciMZXVIzh0aXZ/uoSHdDq60rVNwwptr8Rk6Gwyc0h4fr+vfsIVVZFTW5EEzVakea8GHFGlKRfd2zKGBGJmAxFTG5EEzEZktXhiFgieyS4UgJRZ0RdsA+A4swSs4E/UHqIYJ1Xu4zgoxdsjbp8yfDGjmyzUVuLr1h8HkFEX4bJTX2TIRn7vr7JkIzg461nMiTjAhgxV5FhchPWD+8TX7F4k5voDTVyTG5C1dXR413GsVPfZEjGsRM1GQoG8dY5VArVj7hqlpQI9TGIcNTSWU6Ho6mE0Fr0ilViNvDXv2DLOIiPteUVTX190Rcow+s9GnAk9Jp9xbujLl/B0kMEDontNde/0dLzC4TnEch0WAO5x47hD+CN5IWYJp58sUlsgZL9hOoS10JHjjRweRSBJ78A6m4mvFu3SXXVlNG2Up0dQ6EG7SlaP3DoEMG6ES6jpraBy+PZQj3jbx4xG/iD5RU4+/VFs9twD+iPf7+4C5QZCmGGQjg6Z2JLT8ficAgd1gscPoyjaxcs8fHEZfUS3mvz7iokcfQoANyDB+E/cFCovn/3HuLrPOYTRo/CW1gkVD94qAxX/5ywAdPwYfgEJjqZhoHh8+Ho1hVbWirWxESheQTByips6elYk5OI69EDw+MR2mv2FReRMDpszOMaOIDAwVJh2mH9YuLPGQlA/Dkj8RWLtVwOHCzFVWdEkzDqHKH6pmli1NYS16MH1uQk7OntCVaJyyMI1XqwJiViS0vF0bULhs8ntMPh27OHhBHDQdNw9c8hKDgx11tYRELddSF+xHD8u+UkEDYF9Yy/ecTsX552xWU4e/YEq432V1+JI1OcgxsWCxk33YCtXTusSYlkzL1RaCEfW1oa6dfPxhLnIK5z56hVpihcOf1ImT4NAPfAAaRcfKFQ/cQJ46MXkKQJ55FQFyhEkXrpDJy9s0HTaDfrcuK6dxcnrmmk33A99vR0LPHxZNx0g9BCONakRDJuuD5cpKZTR9pfd60wbQBndjZpl84Ewu52qXXtLIqEsWNIOncsAEnnjiVh7Bih+qnTp+Hq1xeAtEtn4MzOEqrf/vrZ2Dt1xOJ0kX7D9UKLKFncrvDxkpCAPSOD9DnXgUjnxe7daTfrctA0nL2zSZ15iTBtgIRzRpI08bzwv0ePIvG88UL1m8OZsOXdvHkz48ef/G9dtWoVU6ZMYdiwYcybN4+yukfIAH/6058YOHAgw4YNi742btwIQGVlJXfccQcjRoxg0qRJvP766y3bGU0gZgP/sQUoRBa8OJGWTH3RxTqU/qm1z+Sxc6LfE60vkrasr9r27Oq3NkzTZOXKldx8880ETjI1taCggIceeoglS5bw+eef0759ex555JHo5/n5+dx11118++230dfIkeGOzoMPPojb7Wb9+vUsXbqUp556igKJ9SPqE7OBX6FQKBRtG5kFfJYvX84rr7zC/PnzT7rOP/7xD6ZMmcKQIUNwOp3ce++9rFu3jsOHw49Z8vPzycnJOe57tbW1rF27loULFxIXF8fgwYOZPn36Gev1q8CvUCgUijaJzGf8V1xxBe+88w6DBg066Tq7du0iOzs7+j41NZXExER27dqFrusUFRXxyiuvcO655zJ16lRWrlwJQHFxMTabja5du0a/27NnT7ZvPzP1EWLapEehUCgUbReZmfkZjTCC0nUd5zFGZi6XC13XKSsrY/jw4Vx77bUsXbqUzZs3M3/+fNLT04mPjz/ue06nE+8ZqoioAr9CoVAo2iSNTdCTxYmCta7ruN1uunbtyquvvhpdPnLkSGbOnMm6deu4+uqrj/ue1+vFLclV8VhiOvAnnncuCSOHS9NvN+tyqUYoHe+8A80ux/bXEhdH5wd/hTU+Xop+XPfudH7wV9gk2ZMmjh6Fe/DJh+haStqlM6T5DAB0mPdTaZbFWCzhtpV0kXF07iy1bRNGDMeV0w+sVin6qdOmSrVczrj5JjRJ2w7Q+YFfYJVkuWxPTw8fOwnyLKPbEllZWRQWFkbfl5eXU1lZSVZWFrm5ufznP//hpz/9afRzn8+H0+mke/fuBINBSkpKyKybUVZYWNjgsYFMYvoZv8XplOqAhsWCKcmoBCBUW4vFGSdFW7NYMGpqscTJ0bc47Bg1tdKCm8XlwpDYtprNhuGV4/EAYOgetDg5N3WapoXb9pihRmH6NpvctnU6w/qSssq1OAeGLsfjAcIVGaXd1BEuriNyiml9Im1rcdil6DeVs13AZ/r06axZs4aNGzfi8/lYsmQJEyZMIDU1FbfbzXPPPcf777+PYRh8/vnnrF69mssuu4yEhASmTJnC008/ja7rbN68mVWrVnHJJWKnYJ6MmA78gQMHqfr3f6Tp63kF0uqVA9R+9TW+IrEFUupTsfqf0kxuzFCIw2++JW1EJHD4MJUffSxFG0Dfth3P999L06/99juptr9HPlgjtDhNfUzT5PAbb0pr22BlFUfWfChFG8K2ubXffidNv3bz91JNbio/+pjAYTmumqZphs/bVlCuF85OAZ9FixaxaNEiAHJycli8eDEPPPAAY8eOpbS0lMcffxwIJ+s988wzLFu2jOHDh/Pwww/z+OOPM2BAuADV4sWLCQaDTJw4kYULF3LfffcxZMgQMTvmNMT0UH/YhStcrleziL8H8uTmYug6SRPOE64drYluseDM6iVcP+Tx4N2xA71gKwnDhwnX9xUV4y/eTaD0EI4Op0+iaSp6bl7U5EZG70rPzSVQeoiU86cI14bwsWl4PLhz+gnXNnw+9G3b0fPySRwzWri+f+8+/Lv34N+7j7iuXYTr6/n5eLdtw/D7sQgsjBXVz83DW1hE6rSLhWtH9IOHDhEv4VFUxGTI2asndgnXnUBpKf7i3fiKinH26ilcv6mcibK7o0eP5osvvoi+f/TRRxt8Pm3aNKZNO3EhrMmTJzN58uQTfpaSksKzzz4rbkObQKvp8W/cuJErr7ySESNGcP755/Paa68Bcqsb6bl5YZMbCTWnzWAQfes2vDt3SfGuDh4KmwxJc0CrMxmSpR+pIy7L5cuTmxc2udlVePqVm4hpGHjy8sMmNzU1wvWDFRUESkqk2f56t++AYFCaM6IebVt5x44ZkOOqGbmhDpvcHBGuHzEZkmVyEzEZkuXOF2lTj3Lna9O0isBfWVnJ7bffzpw5c/jqq6949tlnWbJkCevXr5dW3ShUUxOt8y3FwW1XIabXC6GQFGvYyEU7UFpK4FDZadZuOtGLtwSTm/r6MoJPfZMhGfq+3bvD+QOmGXUZFElkm0MVRwgI9JA4Vt+7bRuGhBwUmZbLRiCAd9s2afr1TYYiFrQiiZgMhU1uxNe6b+CqKaHD4ZF8U9dUzkTJ3h8irSLwl5SUMHHiRGbMmIHFYmHAgAGMHj2ab775Rlp1Iz0vP+ry1dZcuGTrm6EQet3NlaHreAvF9poDh8oIlIbNYXyFRYRqxSbh6QVboe5mRZdgDXsmnReFt229URzTHxBuDRusrMS/dy8A/r17CVZWCtX3bt+BWefIp+fmCe8119/fUmx5JeqbpnlUU0KHI1Rbi6/OUCtwsJRAmfgOR1M528l9bZVWEfhzcnL4/e9/H31fWVkZNTKQVd1IL9iKLS0tnHnv8xEoL2+xZgTTNPHt3Ik1MRFLfDy+4mKhF6hQrYdgeTmaw441NQXvVsG2uYVFWOITALC1b48ueNjQk5uHLT39qL5ga1g9Px9bu3bhN5pG4KBYd0F9+w6syUlY3C78e/cJnfpl+Hz4Dx5EczqxpiQLH872792LVpfNb2vfTviIhZ6bf7Rt09OFHzt6Xj629uG21ZzO6E2GMP1t27CmJIe1DxwU6qppBoP49+7F4nZhTU4SftMVOHAQ6nKVbO3aSTivCrC1bx/WT0+X9qioKajA3zxaReCvT3V1NfPnz4/2+mVVN0q9dAYJo0ehORx0/tUvsMQJnNpkGHS4bR5xPXtg79iBzLt+hhkUN1yuWTQ6//J+rAkJxA8aRPvZ1wjTBrB3yKDTz+4EIOXC80mePEmofvzwobS78goAMm6ag6tvH6H6KT+eRuL4ceH56r+4T+icY9Mw6HDLXJzZ2djatSPz5/eIfRRimnT+xc+xpSTjyskh/YbrhY5Y2NLSyLzvbgCSJk0k5aILhGkDuAcNIP268PGYft01uAcNEKqfctEFJE2aCEDmvXeHb94FYZomGTfOwZWTgy05mc6/uC86KihEPxQi8+f3YmvfHmd2Nhm33CS0Q2BNTAxvs8VC4vhxwp0XXX37kHHTDQC0u/IKKUm/TUUF/ubRqgL/nj17uOaaa0hOTua5557D7XZLq25Uv7iIZrVijRdXzCSsd7TwjcXlEjrv1eJyYbEf1RNpHRrVs2gN3wukYWEXTaq+ZrViTRBXhEizWBpsryUuTmitA4vT2SBT3ZqYKHS+ujUhocEMFinHzinei9TXLBrWhARh2prW8Fi0OBxCax0ce6xYExOFziayJsQ3KAwkZd9rx7xXtElaTeDPzc3lqquuYvz48Tz//PPHVTeKcCarGykUCoWi9aJ6/M2jVQT+srIybr31VubOncsvf/lLLHV3wWe7upFCoVAoWi8qq795tIoCPitXrqS8vJwXXniBF154Ibr8hhtuYPHixTz00ENMnDgRt9t9RqsbKRQKhaL1Esu99pbQKgL//PnzmT9//kk/P1vVjRQKhULRelGBv3m0isB/tnDl9MOaJC9BJXHsGKkmPSlTLxaa1Vwfi91O2qzLieveTYq+PT2dtFmXY02W4+Dm6t0b7fJLpWgDJIw6B0OSjwFAyoUXyEue0jTSZl2Os5f4Us8QnjmQNutyacems1cv0mZdHp26JpqE4cNwZmdJ0QZInvwjaQZJAO2uuIy47t2laFuTkkibdTn2uimbirZJTAf+uK5dsKUkS9N3ZmdJDfyuvn2kBQfNZiN+8CBp+raU5LC+JNtfR+dMqTd1zuwsDF2Xp987G4ukfaNZLFLb1pqYKFXf0aljOINdUuCPy+qFXXBRqfo4s7OkuecBuAcNlNe28fFS27apqB5/82gVyX1ni1B1NZX/+lSavnfHznCJTklUf/FVtAKeDCr++YFUX/KKVe9J0w7pOpVrP5Km7ysqxvP9Fmn6td9swr93nzT9Ix98iOH3S9OX2baG38+RD+S58/n37qP2m03S9D3fb5Hqqlm59iNCEm9KZbZtU1FZ/c0jpgO/Jy8ffYs8swlPbq7UmtZ6bp606llmMEjtt5ukmNxA2GOg5quNUkxuIFxlrPb776VZw3pyc6VWLvPk5kk7dkzDoPa776SY3EDYZKjmy6+kmNwAeLdtp/a7zdKsYWWeVxBuW1kmN6ZpUvv998Kr9kUIVVdT89VGAqWHpOg3FdPUWvSKVWI68Ou5edJMbiIuX3qBHJObiMmQrAtUxGRIlr4nN0+ayQ2E21aWyU1EX5bJTdhkaKe0fR8xGZLatsgxuYnoGzU1UkxuIvqyTG4iJkOybuoC+/cTqjgizxmxzmRIufO1bWI28BuBAHpdjXsZF6jA/gOEKo5gePSosYVI9LoTMGxyIz7JrL61qoxes0wHt/omQzLsSQNlZQQOloZNbnaIrbcOR02GZJjcANH6+boka9jIzZyM4GMahlT9qMlQKIS+dZtw/YjJkCyTm6h7nqQOh0xXzeag5vE3j5gN/N4dDV2+RHPG3PkMIxrkRGGaZvRmKHj4sHCTm1CtJ3ozpG/dJjyPwFdYhOEJP+OU3bbS9WXa/lZVCc8jMHw+9DrzGX37DqEmNxB+/h6qqgJkOSMe3d+ynRdFGxjB0W02PDq+oiKh2mYwGL0Z8hUWEZI4q6WxqGf8zSNmA7+emwd1NdC9uwqFZ2hH9TVNvLVqMBjuFUrSD5SWEjxc51aoacKDm15QEDU/Mf1+vDt2CtX31Gtb3549hKqrheo3bNt8oSMipmGER3MktW2wvJzAgQPhNxL09W3bo5bIhELh9wKp37aBAwcICnTVDOvnRve96BGR6A21pLYNVVfj31PnVihB37tjJ2YkIdQ0peURNAX1jL95xGzgd+XkkHzBFDSnk8y7fybUE94MhUi+YArugQOI69WTdldcJrTnE6qppeNt87ClppB47jjxLlnBEJ3u+hkAaZdfiqNzZ6HytuRk0m+4HoAO836C5hRncgPhqXApUy8Gi4XM++4WelNnGgZJE84jfthQHF060/66a4TqG7W1ZNx8E/YOGSSMOofEMaOF3lgYPh+Z990DQOqM6cT1EDvf2xofT8YtcwHIuGWu8OmacT26kzpjOkC4bUXa5pomiWPHkDDqHOwZGWTcfBOGwOuC4dFpf921OLp2IX7YUJImjBdr1+3Rw86LFgspUy/GKdjTRHPG0WHeTwBIv+F6bMnypkI3FtXjbx4xG/jdA/qjWcNlDByZmdjrfKZFoFmtuAf0j/ZMXH37CHVws6UkRwvraBYL7oFirU8dnTOjnueWuDhc/foK1XdmZ0XnqFsTE3H26CFU390/B81e17YdO2LPyBCmHd3fkbbNzsYqwC0ygjUxEWevnuE3db8l0p3P0akT9oxw8RXNbsed00+YNoCzV8+oG6I1If7o3yIId04/tDpnSnt6Oo5OnYRpa5oWbtu6+gDOXj2Fzle3xrtxRYJx3W+JrEXg6JCBo2PHsLzdhrt/jjBtAGePHtHaGJb4eKlFjhRyiekCPgqFQqFou8TycH1LUIFfoVAoFG2SWB6ubwkq8CsUCoWiTSKpPtcPHhX4FQqFQtEmieW5+C0hpgO/Pb09LsHJTfVxdO2CKXgec32cvXtj79RRirZmseAa0B+rJBMja7wb14D+wjP6I9jatcMlOLmpPo4unbEmJEjTd2ZnYe/QQZq+a0B/bGmpUrQtLheuAf2lGdHY0lJx1UueFY0js5M0AyCoSxpMkuNKCeHEZVu7dlK0LXFx4etCvLiEVsWZRzNlFTM/S/R85ukmrW+GQmhWq5RtMU0TDEOevsRtV/pnV78tb7vSP3varVW/8L/ukbItw9/7dYu+/820xwRtSdsiZqfzARj+ANWfb5Cm799XgnfXLmn6tV9/Q6hGnn1o1Wf/lmZyE9GXhRkKUf2f9dL0A6WHpBYw8Wz+XprJDUDVZ/+RZnIT1pfYtoZB1Wf/kaYfrDiCZ/P30vT1/AKpJjfV/1kvpVxvBJlt21TUPP7mEdOB37t9O7WbvpOmr+fmom+R6PK1JRc9X47JjWmaVH36bwL7D0jRD9XUhq1hJZjcAHh37aJm49dStOHMuPPJMrkBqNmwAf8eOSY3htfLkffXSDG5AfDt3kPNhi+kaEPYu6OtuvMB1Gz8WlqHwwgEOPL+GqEFz1qCabbsFavEdOD35OZJM7mJ6Hvy5JjcREyGZF2gwiZDFdL09fx8TK9XiskNgL4lD/8eOSY3UGebK8nkxgyF0PPz5Tm41ZkMSWvbgq2YPp8Ukxuoc9U8eJBA2WFp+np+vpRec8RkSNa+D1ZW4t+zV1qHw7t9R7ht885+uV5F84nZwG+aJnpenhSTG4BgZVU48JQdJlBaKlw/XDc7EL7ICja5gaOOhdLsPXPl6dc3GZIxHB/yhE2GQlVV+PeVCNf3FYVNhmSY3MBRcxhptrx5svXlHTsRk6GwyU2xcP2IyZAsk5uIqZOsDoeeF3Hnax22vKpWf/OI2cDv37uPUGXY5UvGBaT+ELyMu+/INps+H96d4of1Ivq+3buFm9xETYZAuMkN1JkM1fUGpTis5RdAXU9fxgUwus3BIF7BJjf19QMl+4Wb3DSwzZUwIhIsLydQsh+Q1LbbtkPdjbR8V82t0vTDHQ6xeQSmaUZtrmV1OJqKCvzNI2YDf/0LtidfvHe1TFve8AkoTz9UXY2veHfkx6I9OFF4d+6KTnMMHTmCv0Rsr7n+jZZ36zYMv9g8gobWqm3L0tnQdbw7j7ohim5bX/HuqLGNUVt79DgSRP3t9e7cKcdV8wT/bgv6hj/Q4EZRF3xT6i8pIXTkCCCvw9FUzkRy3+bNmxk/fvxJP1+1ahVTpkxh2LBhzJs3j7KysuhnGzdu5Morr2TEiBGcf/75vPbaaw10c3JyGDZsWPS1fPny5u+MJhCzgV/TNOKHD0NzOEi5YIpQz3kzFMLevj1xPXtiz8wkrkc3oUO2wYoKEseMwpqUhGvgAKEGQAD+/QdIveTHACSeOw7TK3a4OXjkCMlTJgOQctGFBA+VneYbTcM0DeLPGQmaRsqPpxI4sF+ctmFgTUnG2TsbW0Y6rr59heaIBCuriB8yGFtaGq6cflji3UJHRPz7D0Td7RLGjMYUnFwZLC8n+YLzAUi+4HzxIwqBAAljRgNhd0G/wORT0zSxxLtx5fTDlpaKe8hgglVVwvRDtR6cfXtjz8jA2Tsba3KS0BGRwIH9pPx4KlgsxJ8zUvxoy6EyUi6+EIDkKZOl5c80BZnJfaZpsnLlSm6++WYCJzlPCgoKeOihh1iyZAmff/457du355FHHgGgsrKS22+/nTlz5vDVV1/x7LPPsmTJEtavXx/97oQJE/j222+jr/nz5wvdPycjZgN/ykUXhgukWCwkT/4RjsxMYdqa1UrazEuwJiZgcTlJm3GJ0OBsT0sj5aIL0WxW7GlppP54qjBtAFef3tGLa1z3biRNPE+ofuLoUTj79gHAPXgQ8UOHCNVPOX8KjsxOoGkkT5xAXLduwrQ1i4W0GZdgTUrCEhdH6vRpQouZ2JKTSJ02Fc1hx5qSQtol04W68zl79SRp/LlAuAhR8o8mCdMGSBgxHPeAcOEk94AcEkYMF6qf/KNJOLqEbaKTzh0n1P1P0zTSLpmONSUFze4gddrF2AQW2rHGu8Pt6YzDmpRE2oxLhBYKiuvWjeSJE4BwEaKU86cI0waIHzoE9+BBADj79iFx1DlC9Vsby5cv55VXXjllMP7HP/7BlClTGDJkCE6nk3vvvZd169Zx+PBhSkpKmDhxIjNmzMBisTBgwABGjx7NN998A0BeXh79+skrIHcqYjbwKxQKhaJtI/MZ/xVXXME777zDoEGDTrrOrl27yI5YLQOpqakkJiaya9cucnJy+P3vfx/9rLKyko0bN0aDfX5+Pt988w2TJ09m0qRJPPnkk/j9/lNu03PPPYd+gsdbNTU1PP7446f8bn1U4FcoFApFm0Rm4M/IyDjtaJuu6zidzgbLXC7XccG5urqa+fPnM2DAACZPDj/mTE1NZfLkyaxatYoVK1bwxRdfsHTp0uN+o7y8nJKSEkpKSli2bBm7du2Kvo+8NmzYwP/7f/+vMbsMaIW1+jdv3sztt9/Ov/8drg5VWVnJr371KzZs2EBiYiJ33HEHV1555VneSoVCoVCcbc52DR6n04n3mEJVuq7jdh99/Ldnzx7mz59P165deeaZZ7DUPd6pn8jndruZN28eS5Ys4d57722g9+mnn/KLX/wiehMya9asE27LBRdc0OjtbjWB3zRN3njjDZ544gms9epAP/jgg7jdbtavX8/WrVv5yU9+wqBBg87asxGFQqFQtA7O9pS8rKwsCgsLo+/Ly8uprKwkKysLgNzcXG699VZmzJjB/fffHw36lZWVLF++nDvuuIOEOrMvn89H3AlywS699FK6deuGYRhcf/31PP/88yQnHzVP0zSN+Pj4Bo8cTkerCfzLly/nn//8J/Pnz+ell14CoLa2lrVr1/LBBx8QFxfH4MGDmT59Oq+//joPPvhgy39U06S6cEnXt1jBIvHAt1hAlu2lFtGXhKbJ1bdYJOtbhSb1Ha9vQdNkbb8m9djRNLn7XtM0sMrUt0hzFgTQrHL1sVikXRbaGtOnT+f666/niiuuYNCgQSxZsoQJEyaQmppKWVkZt956K3PnzuWnP/1pg+8lJiby4YcfYpom99xzDyUlJSxfvpyrrrrqhL8zfHg4SXbdunVkZma2+NrQatz5SktLSU9P58svv2ThwoV88cUX5OXlcc0117B58+boeq+++ipr1qzhlVdeOaFOU935FAqFQiEXWe58fVYubtH3t806fQfyiy++iMYkgEWLFgHw6KOPAvDee+/x7LPPcujQIUaOHMnjjz9Ou3btWL58OX/4wx8aDPsD3HDDDdx1113s2LGDxx57jO+//x6n08nVV1/NnXfeecqgbhgGq1evZtOmTQQCgeOm+i5e3Lj90Wp6/BkZGcct83g8xyVOnOiZSnMxDQPvtu24+vUVoncswYojGF4dR6dOUvT17TuI69Edi90uRd+TX4A7R94jFZn6pmmiF2yVph+qqSVYfljoVMH6eHcV4sjshOWY418UbbltZesbXi/+kv1CpwrWx7d7N7a0dlgT4qXoe/ILcPXrK23ESHbbNoUzMdQ/evToaNCHowE/wrRp05g2bdpx35s/f/4ppwJmZ2fzl7/8pUnb8tvf/pa//vWv9O3bl8TExAafNaW9W03gPxEul+u4IO/1eo+7g2ou/j17qd7whbTA78nLw9DlBf7abzdhBoPSTsIj73+AIzMTW7K4ucwRjECA8rfextXvfikXqMCBA1R/9m9p+0bPLyBwqFRa4Pds/p5QdTXxQwZL0a9c9xH29HTs7dsJ1zZDIcrffBvXL+6T4gsfKCuj6qOP5bXt1m34CoukBX7Pllzs6RkknDNCin71Z//GlpIs5bpjGkb4vO19L5rt7IeP1jFefeb48MMP+fWvf811113XIp1WPZ2ve/fuBINBSuqVdC0sLGxSEsOp8OTmSa05refmSTO5iZgMydIPVlbh371Hmu2vd8dOgofK8O/dJ0Xfk5snzeQmrC/PljdSklmWfsRkSJdk++srKiJYVibF5AbCJkPeXYVSTG6A6L6X9RRUpi1vxGRI1rHj37uP4KEyvDt2nn5lhXBqampOWT64sbTqwJ+QkMCUKVN4+umn0XWdzZs3s2rVKi655BIh+p7cPGk1pyMnoK9YvMkNHDUZknWBigR8adatuXJdvvTcPGkmNxGTIRkmNwCB0kMEy8qk2f5GTIakuedF21aiviSTm4jJULCsTLjJDRw1GZLV4fDWmQzJdtVU7nxnhylTpvD++++3WOfsj9WchsWLF/PQQw8xceJE3G439913H0OGtLzEa7CigkDdSIInNw9XXQlZUXi37zjq8pVfILy8ZeTEDh05QqBkP47O4koOw9ETPGJyY3GIyyOobzKk5+aRevFFwrShocmQJy8f96CBQvXrmwx58vKjJXBFETFXMWpr8e3ejbNHD7H6dUY33p27MLxe4XkEEdtfPTcP6nwBRGF4vVGTIT03j4Thw4Tq1zcZ0vPycHQ4PveoJURMhkyfD++uQlx9eovVj7hqFu8mVFODtW6qmCiO2vLmkXb5ZXJnnjSGNhi8W0LHjh1ZtmwZH330ET169MDhcDT4vLHJfa2ux39sIkVKSgrPPvssX375Jf/6179OWrygqdTvjegSes3H6otGqoNbIIB32zYgbIri3S621xwo2R91+fLv3UfwiFizD09+QfThn56bJ7zXfCbbVrS+GQqFe/wAoZDwXnPgUBmB0tLwv0tLCQg2YNILtkYtkXUJrpq6xPPqWE3hrp2GcdS90DSjN3iiCB6pjD6aC1UcIbBfnPlVc5Fp0tMa+fbbbxkyZAgOh4OSkhKKioqir+Lixj9aa/U9fln4iopxdO2Cv2Q/trRUAgcO4ujUUYi2aRgEDpZia98eMxgkWFmJGQwKS4YJVlai2axoTie2tDR8e/YI0Y3g3bGDuF698BZsJa5nT7w7duIe0F+Yvr51K87sLLw7duLs0xu9oIDEOlMgEfh2FeLo3g3/7j3YMzvh37tXWBKeaZoE9u/HnpGBoeuEPB4Mn0+YCVOothYzGMQSH481MQH/PrGWxb7CIuK6d0Mv2Epcj+54d+4SapKkFxTg7N0b7/btOHuH29ae3vJnkhG8O3cR16N7+Pzt3i2chJedJUzfv28f9o4dCFXXYAaDhGo9wkyYDK8Xw+PBmpSE5owjsH8/pmkK6zX79+zFkdkJ77YaHN264i0sIkHgSKNeUICzT2+827bjzM5C37pNqLlZs2iDwbslrFixQohOq+vxnynaXX0l7oED0ex2Ot5xGzbB2c0d75iPI7MTtnZpdFq4QGhBDWt8PB0XLsDqduHKziL9huuFaQM4s7OjmoljR5My7WKh+onnjSf5wnB5ybSZM4gX7OCWdsVl4WCmaXSc/1PsIrObTZMO836Co2sXrCnJdPrZnUIz1y1xcXT6r4VYExOI69mTjJtvEjoa5ejejYxbbwYgfuSIqEWvKBLGjCb1x+HjJfXHF0ddHkWROmM68SPD2fAdbpmLo7u4WRWmaZJxy1zievbEmpBAp5/diSXOcfovNhLNZqPTz+7EmpJMXNeudPjprUK7nfbMTnSc/1PQNOKHDiHt8kuFaQPEjxhO2qUzAEi+8AISBT/iUjSOYDDIe++9x3PPPceRI0f48ssvKW9irlHM9viPnfsuci78sdX6RFfvO3bkQPQ8fovdTqhe4pEM/VO9b8362jEV+45932L9Y9pW9JQpi93eYHi8Le172fqapkG9/X3s+xbrn4G2PdX71q7fHNpigl5LKC0t5cYbb+TgwYN4vV5mzpzJn//8ZzZv3szLL7/c6BlvMdvjVygUCkUbx2zhq43xxBNP0Lt3bzZs2BCt6//73/+egQMH8uSTTzZaRwV+hUKhULRJYm063xdffMHtt9/eIJs/ISGBe+65h02bNjVaRwV+hUKhUCjaAF6vF/sJHrH4/f4m5QKpwK9QKBSKtkmMDfWfe+65vPTSSw2CfHV1NUuWLGH06MYn0rYadz5RNMWdL3D4MMHyCly9xZQAPhZ/SQlmyCCuaxcp+t5dhVgTErBnpAvXNkMhvDt2Yu/YUUqt/lCtJzzNrkd3YVPh6hMsLydQdlh4gZQI/v37Mf0B4gRmldfHW1SExeXC0aGDcG3TMPBu34G9Qwa2lBTh+oau49u9h7huXbG4XML1g0eOEDhYirN3thTba//Bgxi6LrxwUgRf8W40h12eede27djbt8OWliZc2/D5wlMpu3Rp0jRHWe58PV5p/HPtE1F0w/2CtuTMcODAAebMmYOu65SXl9O7d2/27t1Lamoqf/7zn+natWujdGI2qx/A3q4dGPLue2xpaRh+vzR9a1IitnbiTVYANKsVW1qalKAPYI13Y0tLkxL0IbzvzZD4crdR/fbtMWpqpelbExOlBGUIz0SwpaVJ07e4XOG2lRD0AWwpKZiBoJSgD2Bv355gXYEpGViTkrBIcuYDsKWmSgn6EJ5uaktLE1bboMX8oLqtp6djx468++67rFq1ivz8fOx2O9nZ2cyYMSOa7NcYYnqoP3D4MFWffCpNX9+2XXj1rPrUfLlRmskNQMWq1dJMbkzTpPytt6VoQ9hkqHLtOmn63h078Xz/vTT92m83STO5gbDzoiyTm0jbyhpMDHk8HHn/AynaEDYZqv32O2n6ns3f45PgDxKhcu06glVV0vRltm2TibGhfgi71l555ZUsWrSIX/7yl1x55ZVNCvoQ4z1+PTc/XHP6Cjk1p/XcXEIeXWhVuvp4cvPQLBYpjxIMvx89Px/v9h24Bw4Qru/fuw89v4BgRQW21FTh+np+Pp68cLleGT1DPS+PQOkhkiacJ1wbwsem4dFxZvUSrm0Gg2F/igH9hde6h7DJkJ5fQPDQIewZYmvdQ7hsrycvX2g1zPp4cvPxFRaRcv5k4doQtuu2lx2SYgceLtubR1zPHlKuO8HycvT8Avz7Sojr0lm4vuLUHDp0iKVLl7Jp0yb8JxhN/uCDxt0Qx3Tg9+TmSTO5idTNNv1+jEBAeLGLiMmQx2Ih5eILhWpD2OXLDIQDhIzAf9SdL0+4yU1E16iRY3ITMRkKVVVLMbkJ1dTgKy7G8HiEm9zAUZMhGSY3cNRkyJObR7KMwJ+bh+n1SjG5iegHDh2SYnITNhnaReDQISkmN77duzFqavHk5kkJ/BEvAD03t3UE/jY4Ja8lLFq0iG+++YaZM2eSlNT8x7AxG/jru3x58vKEB37f7j3RZ8De7Ttw988Rqh85Af179xKsrMSWnCxWv557noxec3190YG/vsmQnpsvPPAH9u8nVHEkrF+wVWite6hzzzPNqMmNPb29UP3oxbsgbHIjsuRwfX1Pbh7JP5okVLu+yZAnN0944K9vMqTnF5Bwzkih+nrBVgiF6kxuDuDIFJvgF7mh9m7bJqXDUf+GPeUi8R2OptJanjicKb7++mueeeYZxo0b1yKdmH3GHzkBQY4LV32XLxkObg31xeYRRDzJIWxx69+7V6h+sLIyqqlv3yE8j8C7fQemPwC0PYe14/TzBDu4mWb02DE8Or7CIqH6oVpPVNNXWESoVmwega+wCEPXAfmumm352DH9Abw7dgjVNnw+9O1hTf+ecIfjrBNjz/gdDgcdBMz0aVTgP3ToEG+++SaLFi3ijjvuYOHChSxevJh33nmHytbQ+M3Ak5uH5nSCphE4cJBQdbVY/bx8tLg4NIcj3LMSeIGKTKnBGnbo89QNrYrCv3dfdDZCWF/sBUrPzQ/ve0Cz29G3bhOsnxfVD1ZUEGyigcXp9eva1m4PPxIRaPtrBoN4d+5Es9vQnE7hN3WBgwcJ1fnNS2nbggK0uqpikWNfJJ56bRuqrSVw8KBQfT2vTt9mw7tjJ2Y9z4qWYhoG3q3b0Ox2tLi4qLe9KALl5QTrRqLCx47gtq3b9qi+xMTlRmNqLXu1MWbPns3SpUvR625+m8sp5/Hv3r2bZcuWsXr1alJSUujduzdpaWkEg0EqKirYunUrtbW1XHLJJdx22210E2R92hIaO4/ft28fem4elR9/QpcHfokZDGJLETNcboZCBEoPhTOna2tpf/VVWJMSxVm3VldjGgYHlj6He+BAEkadI/RRRaCsDM1qY++jj9Hu2quJ69JZqP2mf/9+QlXVHFz+Ip3u+hlanEPofHX/vhL0bduoWPUeXR99GNPvE5ZAaBoGgQMHqPzoXwRKS0m/cQ5Wt1vY1LVQbS2mP8DBF18irmdPks4dhz2zk7BnwYHDh7HEOdnz4EOkzbocZ48eQo8d/4EDGLUeDjz3PB0X3I4l3o2joxi7awi3rbeoiPKVb9J18cMYPl94Wq4ATNMkULKfqv+sx7erkA7zfoLmsGONFzP1LmLjfOiVV7Gnp5M8eRL2jh2FPUYLVlSgOeLYs+hhUqdPw9Wnj9i2PXgQ0x9g/5Jn6DD/p1iTkhptZS5rHn/3P/2+Rd8vvvU+QVtyZrj11lv54osvME2T9PT0BqV7QUBy35///Gf+8pe/MGPGDP7v//6PAQNOnOCVl5fHW2+9xezZs5k7dy633HJLE/6Ms0dc587R3pRV8JxazWptcEKIfkZrTUxs8F50foK9fXtCdXeUmqYJ99x2dOqEXpf/oNlswovUODpnom/fDoTrBSBwzrFmsTTYH6KCTgRrfDzUOxyFt227dg3c+UTrOzp2xFccnoao2axCgz6Et9dbVASAxekUmnynaVqD/WFLTRGmDeH6BvVvEEWfVw1ubo/5W0Tg6NAB//794TcWS6ODvky0Njhc3xKGDh3K0KFDW6xz0sBfXl7O6tWrSTjNidW/f3/69+/PnXfeyX//93+3eIMUCoVCoWgUMRb4FyxYIETnpIH/nnuaNjSTlJTEffe1rWEThUKhULRh2uBz+pby4Ycf8uKLL7J9+3ZsNhvZ2dncfPPNXHhh42dZNHo6X3V1NcXFxScsGjB8+PBG/6BCoVAoFIqm889//pO7776biy++mEsvvRTDMNi4cSN33XUXf/jDHxod/BsV+N9++20eeuihE1r/aZpGfn4ryO5UKBQKRWwRY0P9zz//PP/1X//FvHnzosvmzJnDiy++yPLly8UG/meeeYYZM2Zw00034RRcpexsEte9G0nnia8aF8E9oD9GICBNP2HMGBwdxbu3AWhWG0mTJmKX4A4HYaOVpEkTsQjKmD6WuC5dSJo4QYo2gCunHw5JrosACaPOkVLKGABNI2nSROHJXxGsiYkkTZp4XBKqKBydM0maNBEklNkGcPXpjb29HPMrgIThw6Wa9CRNnEBcFznHpsUdT9KkidIMnppMjAX+4uJiLr744uOWX3TRRSxbtqzROo0K/JWVldxyyy30kGRTebZw9e0jzVYVIH7EcKkOcUnnnSu8XGwEi8NOykUXSNO3p7eXqu/MzsIhsaRo/PBhmBKdFxPHjkGT5FyoWSxS970tLU1u2/bogaNjR+EVByO4hwzGlGROBZAwZlS01oEMUi48X17bJidJbdsmE2OBv1OnTmzbto3u3bs3WF5QUEBqEzoKjZpAOmXKFP797383bQvbACFdp+qz/0jT9xXvjpaOlUHNlxsJVlRI0z/y4TqhxWmO01+zVpq24fdT+a9PpOn79+6TUnktQu2m7wgeOiRNv3Ldx0KL0xyLzLY1g0Eq130sTT9Qeoja7zZL0/fk5uHfVyJNv/Jfn0i1A5fZtk0mxgr4zJo1i4ceeojXX3+dnTt3snPnTv7+97/zyCOPcNlllzVap1E9/p///OdccsklfPDBB3Tr1g3LMQUnFi9e3LStbyXo+QV4Nn9PygVTpOh7cnMxPLoUk5uwfh5YNCkmN6ZhUPPlV7gHDRBe6x7CxUaqPv1MWu/Eu207nk3fkXrxRcK14aiRiwyTG6gzGdJ1KSY3pmlS8/XXOHtnSzG5CdXUUPXJpyRPniTc5AbAu6uQmq+/JmXaxdJcNX1FxSSOHiVcO6yfR/DQIWkmN55vvyOuSxcp1x3D66Xq089IOm+88DoHitNz8803c/DgQR555BFCoRCmaWK325k7d26Tpvo1qsf/29/+ltraWnRdZ/fu3RQVFUVfxcXyPMPrk5eXx6xZsxg6dCgzZ85k06ZNLdbU8/KjJjcy0HPz0PPypfSaIyZDsspmhk2GaoSXjI3gycuHUCjsmSBDPzePwMFSAmVlcvTz8qImN6KJmAzJGlGImAzJ8JCAOpMhw4ia6YjGk5sXNbmRop+Xj751q5T8nIjJkLS2rTMZkqUf8TgR7SHRXDSzZa/GsHnzZsaPH3/Sz1etWsWUKVMYNmwY8+bNo6zeNedUcauyspI77riDESNGMGnSJF5//fXTbovVauXXv/41GzZs4P/+7/9455132LhxI3fffTfWJjz6alTg/9e//sULL7zAypUrWbFiRYPXK6+80ugfay4+n4/58+dz+eWX89VXXzFnzhwWLFhwwqmFjSV8AkYsJsUHt0BZGYGDpYSqqvDv3SdcP3ICyjC5gYYuXDKQqV/fZEiGfrCyEv+evVJMbgC8O8ImQzJMbuDoPvHkiTe5aaAvo23rmQzJ0I+YDMkwuYGjJkOyTG4iAVlWh6O+q2arQKJJj2marFy5kptvvpnASW4CCwoKeOihh1iyZAmff/457du355FHHgFOH7cefPBB3G4369evZ+nSpTz11FMUNMLboqamhvfee493332XlStX8s9//hOv13va79WnUYE/NTWVTMHlJZvChg0bsFgszJ49G7vdzqxZs0hNTeXjj5v/nM9XVIThCZellXH3Wv9mQooLV6SnHwyib9suQT+8zYH9+4Wb3NR3+dLzC4RfoPx79xGqqgrrS7ipqz/KIufYqdM0DOEmN2H98PYHyw5HLWhFYQaDUdMlvWCr8DyCQGkpwcOHw/oyXC8LCqDueJRx7NS/FsgYEYnsk1BVlfA8AtMwjnaWJHU4WhPLly/nlVdeYf78+Sdd5x//+AdTpkxhyJAhOJ1O7r33XtatW8fhw4dPGbdqa2tZu3YtCxcuJC4ujsGDBzN9+vTT9vq3bdvGRRddxBNPPMF3333H119/zSOPPMKPf/xj9u1rfAezUYH/Zz/7Gb/97W/Zs2dPo4VFUlhYSFZWVoNlPXv2ZPv25ge8+iegd9t2DL/YYb0GJ7jgC1T9Hq0M/WB5OYGS/dH3wh3ctm2HuoBg1NaGnQYF0qBtd+6M2rjK0Be9b0zTxJMrr21D1dX4du8+qr9FrL53565oRrzp8+HduUuofv3t9e3eLd5V85i2bUu2v4auN9jfol07fUXFGJERqGAQr4QOR1OROdR/xRVX8M477zBo0KCTrrNr1y6ys7Oj71NTU0lMTGTXrl2njFvFxcXYbDa6du163GenYvHixQwdOpRPP/2U119/nTfffJN//etfZGdnNynXrlGB/7//+7/54osvuPDCC8nJyWHgwIENXrLxeDy4jnE/czqdTR7eqI89PZ3E88ajxcXRfs51BCvE9WrNUAj3wAG4+vUlrnt3EsaOFnp3HKqsJO3yS7GmpBB/zkjh09aCVVWkz70RgJSLL8TiFmdyEyHt8ksBaHft1cKnxdnSUkn6UXied8bNNxEsFzfzwTQMXH364B40EHtmJsk/miR0OD5UXU3q1IuwZaQTP2wocT17CA0+wYojZNwyF4DkC6ZgTRSbfGcGg7S7chYA7a6cJbzHb01KJLkuGTfjlrlCZ7WYpomzZw/ihw3Flp5O6rSLhd5YhGo9JE+ehKNzJq6BA3D17i10tCtYXkHGzTeBxULSjyYKrwNh+v20u/ZqIHz+/tBn0mVkZJw2eVTX9eNq27hcLnRdP2Xc8ng8x32vMTHt+++/5+67727goZOcnMw999zDF1980Zg/C2hkVv9Pf/rTRgvKwOVyHbdDvF4v7hYEpMSxY8LTUjSN+EFib140q5WkCePx7twJgQBJ544Tqm9LTSUhNZUjq9/D6nIJz+p39ugRdeezpaWRMEJsSeb4QQOjQ/1xXbrgyOwkVD9x9KjwVD5Nwz2gv1BtzWIhacJ4fLt3o1ktJI4ZLVTflpREwqhzqPz4X2hOJ0nnnTypqDnEdesaTUi0JieTMOocofruAf2j7nyOzp2IO2a+cUtJOGckVf9ZD4TrcGi2RlcdPy2appF03njK9h9As1hIOGekMG0IO0UmjhlN9ecbsMTFkTRBbNs6OmdGizJZk5KEz0pw9esbdeezd+yIq3f2ab5xBjjLU/JOFKx1Xcftdp8ybjU3pmVmZp5wJOHQoUNkNGEGUKPOmqbMD5RBr169ePXVVxssKywsZPr06WdpixQKhUJx1jnLww5ZWVkUFhZG35eXl1NZWUlWVha1tbUnjVvdu3cnGAxSUlISzZ8rLCxs8NjgRNx+++08/PDDHDx4kHPOOQebzUZubi5Llizhqquu4ptvvomueyoPnZMO9c+ZM4ctW7ac+q+ux6ZNm7j++usbvX5TGDt2LH6/nxUrVhAIBFi5ciVlZWWnnGKhUCgUih84ErP6G8P06dNZs2YNGzduxOfzsWTJEiZMmEBqauop41ZCQgJTpkzh6aefRtd1Nm/ezKpVq7jkkktO+Xv33nsvZWVlLF68mBkzZjBt2jTuu+8+9u/fz7PPPsvs2bOZPXs211133Sl1Ttrj/9nPfsa9995Leno6F198MRMnTqTLMfWfd+7cyYYNG3jrrbeorKzkN7/5TRN2WeNxOBy89NJLPPzwwyxZsoTu3bvzwgsvtGioX6FQKBSKprJo0SIAHn30UXJycli8eDEPPPAAhw4dYuTIkTz++OPA6ePW4sWLeeihh5g4cSJut5v77ruPIUOGnPK3161bJ+RvOGngHzlyJO+++y5vvPEGL7/8Mo899hhOp5OUlBQMw6CiooJAIEDPnj25/vrrmTVrFg6J9af79evHa6+9Jk1foVAoFG2LxhbhaQmjR49ukDj36KOPNvh82rRpTJs27YTfPVXcSklJ4dlnn23StnTuLCaR+5TP+B0OB9deey3XXnsthYWFfPfddxw+fBhN00hPT2fw4MHHmQW0JSzxbuwZ6dL0rSkp0oxWAGzt07EmyXFA0zQNe4cOUk2A7B06CE3Oqo/V7ZbmLAjhxDgZVfsi2Nq3l9a2APYOHbBKGjHT7HVta7dL0Y+2rSR3PmtSIjaJ7ny2tDSsyUnS9O0dJbatzRa+LjjktG2T+aFPLTiGPXv28Ic//IHt27efsIDdBx980CgdzZRRuuss0vOZp5u0vmmaUup9nwn9trztSv/saSv9s6vflre9ufqF/3WPlG3JempJi76/8967BW3JmWH27NkcPHiQqVOnHjcdEGh0vX453a02ghkKUbvpO+HT1SIESksJeXScPeSMini+34KrT29pvfLajV8Ln9J0pvRNw6D2629JOGeEFP1gxRECZYdw9RZvcgPhqm5x3bpKMbmB8L6PHzlCWoCQ2ramKVU/VFODb/ce3P1zpOh7d+zA3j5dmslN7cZviB8xDM3SqDItzdCXe11oCmdiqL81kZeXx1//+lcGDGiZAZOcI6ON4N21i9qvvzn9is3Ek5sntaa1Z/P30kxuIGzdKsvkxvB6Kf/HamnD5b7de6huQkGLpuLJyxNe9a6B/vdbpJncAFR99m9pJjdGIED5u6ukmNwABPYfoOozeTbhel4+ni1iq97Vx7MlT6rJTfUXX+CXVGXVDIUo/8dqjBYUT1M0n+7du6MLqEQa04Ffz82XWnPakyvvBI+YDHkkufMFyg4TOHhQmjufvnUbRnU1vqIiOfp5eWGTG494kxsIl9KVZXJjmmY4+Ei6aYyYDMk6Nr07dmDU1ODdsVOKvic3r87kpkqOfl4+usy2ldghiJgMyTp2fIVFGNXVUvxBmoWptezVxnjwwQdZvHgxb7/9Nhs3buSbb75p8GosjRrq37p1K3379m32xrZGwjXR86ImN6Kr94U84RMQwyBYXo4tLU2ofsRkKOLCJXpYr74DWtLE84RqR3Qj/3ceU4VKmH6dNazoRzlRk6FgkEBpKQ7BSYQRk6GIyY3oBMiIz4Oem0fK+VOEakd0I/935/STp5+fL7xyohkMhve7z4d/7z7iunY5/ZeaQMRkKFhZieHzYRGc/BsxGfLk5pE6bapQbajvzpdL/OCT17A/Y8TYUH9hYSE7d+7kF7/4xXGfaZpGfn7jOmqNihYzZ87ksssuY8WKFZQLdmo7WwRKDxGsG8aW4/K1NeryJaNXHjFyMWpr8RXvPs3azdCv6w3KMLmRbptbz2RIl7DvvfVMhmQcOxFzFRkmN3D0ePQVize5qW8yJMPkpr7JkIxjp77JkJTrQuTxUDCId7t429/INgdK9gv1MYgQuS54JNn+NhWZJj2tkaVLlzJr1ixWrVrFunXrGrzWrl3baJ1GBf41a9YwZcoUXn31VSZMmMAdd9zB2rVrCQo24DiT6PWcq2QcxLpEF65j9UVfoAyv92jAMQzheQS+4t0YtbUABEsPETh0SKh+/RstPb9AeB6BTIc1kHvsGP4A3jrbXEwTj+A8gkDJfkJHjgAQOnKkgcujCDz5BVB3M+Hduk2qq6YUO22Zzo6hUIP2FK0fOHSIYGn4XDVqahu4PJ41znLlvjNNTU0Nt956K9nZ2XTu3Pm4V2NpVODv1q0bCxYs4IMPPmDFihV06NCBxYsXc9555/Gb3/yGAgme4bIJVlTg7NcXzW7DPXBA1HxCBGYohBkK4eiciS09HUtcnNA8gsDhwzi6dcUSH09cVi/hvTbvrkISx4QNPtyDB+E/cFCovn/3HuJHhrPtE0aPwltYJFQ/eKgMV/+csAHTiGH4BCY6mYaB4ffj6NYVW1oq1qQkoXkEwcoq7OnpWJOTievRA8PjEdpr9hUXkVBn3uIaOCB6IRenX0zCqHDGd8KokVHDHlEESw/hGhjOaE4YfQ6+4iJh2qZpYng8xPXogTU5CXtGOsEqcXkEoVpPuEZAWiqObl0xfT6hHQ7f7j0kjBwOmoarfw7BssPCtAG8hUePnfiRI/DvPjs27bHMRRdd1KSe/clo8sPDYcOG4asLYm+++Sbvvvsur732GoMGDeI3v/kNPXv2bPFGnQnSLr+Myg/X4Ssqpv1Vs8QOSVosZNx0A6V/fplQbS0ZN90gVN+Wlkb6ddeyd/FviOvcmdRLZwjTBnDl9COuZw+q//M57oEDokFaFIkTxmPfsZPajV+TNOE87J06CtVPvXQGVZ98il6wlXZXXC62bTWNjBuu59CrfyNgmmTcOEeovjUpkfQbrmffk7/H3qkj7a68Qpg2gDM7G2evXlT/+z+4+vUlcdxYofoJY8fg6JxJzZcbSRw3Fke3bkL1U348ler1n6NvySVt5gywWoXqt7/uWg6//gaGrpM+5zqhbWtxu8i46QZK/vAs9vR00q+fLVQ/rkd3nD17UL1+A87e2SRNnCBMG8LOiHFdu1DzxZckjDoHZ7b43Jym0haH61tC586d+cMf/sCaNWvo3r07tmPyfxYvXtwonUYH/oKCAt555x1Wr15NRUUFEyZM4KmnnmLSpElUV1fzwAMPsHDhQv7xj3807S85Sxw7f1nkfOYTacnUFz0XW+k3Xlu2vox9Yx7zXrT+qd63Zv0z3bay9dvSvm82MRb4v/zySwYPHgzA3r17G3zWlPZoVOCfPn06O3fupG/fvtx8883MmDGDtHpZ6qmpqcycOZNf//rXjf5hhUKhUChaRIwF/hUrVgjRaVTgHzt2LL///e/JyTl5JavRo0fz3nvvCdkohUKhUCgUx1NSUsJf//pXtm/fjs1mo3fv3lx11VXik/seeOCBUwZ9CDsNpafLM7xRKBQKhaI+sTadLz8/n0suuYT33nsPl8uF1WrlnXfeYcaMGU1Kso/pWv0KhUKhULQVnnzySSZMmMDvfvc77HXul4FAgF/84hf8/ve/53/+538apRPT7nyGrmN4fdLMMkI1NWCaWBPl2KsGj1SiOexSLDhNwyBUWYnF7RZeXQzC9dyNmhqsiYlSrHkNrxdD17GlpgrXBgjV1GIaIWxJcuxVg5VVaDYb1ngJbWuahI4cweJySTF4MoNBQtXV0tvWmpIiJcEsVOvBDAaxSbLODVZVoVmsWBPi5ehXVEhvW0tCApYm2C7Lcufr++gfWvT9rYvuErQlZ4ahQ4fy+uuv0/sYc7Bt27ZxzTXXNLpsb0zX6tecTkLVcup91/0Cxgk8k0URqqmREpQBNIslfIJL0rfY7YSqq6UEBgCL0ym8vkF9NJsVQ5dnVGLU1qJJ8jzXNC3ctpJcHTWb7Yy0rayscs1hjxaYkoGhe9FsYqch1udMtG1Tgr5MYm2oPykpidoTHJs1NTXHTe07FTEd+AMHDlD17/XS9PX8AqkObrUbv5ZmcgNQsfqf0kxuzFCIw2+8JcUIBcImQ5Uf/UuKNoRNhjzffy9Nv3bTJmkmNwBHPvhQmsmNaZpS2zZYWcWRDz6Uog1hk6HaTd9J0/ds/l6qyU3lR/8iILh4T4Ro20py1VScmkmTJvHoo4+yu17VxKKiIn7zm98wceLERuvEdOD35OZFTW7k6OdKc8mKmAzJ0g95PHh37JRmDesrKsK/ew+B0lIp+npuXtTkRgbSLZcl6hs+H/q27eiNNPRoKv69+/Dv3oN/7z4p+np+Pvq27dJcNXWJ51VEv37JcJFETIZ0Sc6LgdJS/Lv34CsSW5Gx2cRYyd67774b0zS56KKLGDduHOPGjePiiy/Gbrfzy1/+stE6MR349dx8aSY3kRPQu3OnFO/qiMmQNNvcOpMhGSY3cNRkSFZw8+TlSTO5MQ0DPT9fiskNhJ/RBkr2SzG5gaMmQ7KCW8RkSFrb1rlqyjC5iZgMBUpKpJjcREyGZJncREyGZLVtZARTlqVzk4mxwJ+SksIbb7zB8uXLufnmm7ntttv485//zGuvvdagts7piNnAH6qpidYRl3GBirp8STC5gaMmQ4HSUgKHyiToR6xPxZvc1NeXcYGqbzIkQ9+3ezdGTa0Ukxs4us0yTG7q63u3bcMIiDW5AcltW89kSIZ+fZMhKSY9dSZDskxuom27c5eUDsdRW97WEfhj7Rk/wBtvvBE165kzZw5//etfeeutt5qkEbOBX8/Lj7p8ybh7re8QJ+UCIlHfDIWiQ/yGruMtLBSqHzhUFh3i9xUWERKcSKUXbIW6mxVdQq9ZpjPisZqij836lsimPyC81xw8Uhkd4vfv3UuwslKovnfHDsy6mxU9N094r7n+uSRjtKvhsSNW3zTNo/qhkPAOR6i2NppTFDhYSqBMfIejycRYj/9//ud/+O1vf9vAGTcrK4tHH32Uv/71r43Wid3AX7AVW7t2YLFg+vwEysuFaZumiW/nTqxJSVji4/EVFwu9QIVqPQTLK8JT+VJT8W7bJkwbwsHYkpAAgC29vfALoCc3D1tdsSdb+/bC8wj0/AJs7duF31gtBA6KdRf0bt+JNTkZi9uFf1+J0DwCw+fDf7AUzenEmpISHpYXiH/vXrS6jG9be/Ftq+flY8uoa9uMdOHBTc/Lx9a+PRCeleM/pl55S/Fu3x6eJuh0Ejh4UGgegRkM4t+7D4vbhTU5Ge8OsTddgQMHwRq+pNvatxMe+MPnVXjf29LTpeZBKE7M3/72N37/+98zc+bM6LK77rqLJ554gpdffrnROjEb+NMum0nCqHPQHA46/+p+LHECp78YBh1um0dcj+7YO3Yg8+7/wgyKGy7XLBqdf/lzrAkJxA8aSPtrrxamDWDv2IFOP7sTgJQLzif5R5OE6ieMGBZ1ncu4aQ6uvn2E6qdOn0biuePAYqHz/fcJraNgGgYZt87FmZ2FrV07Mu+7W+yjENOk8y/uw5aSjCunH+k3XC/Y2TG8zQBJkyaQctEFwrQB3IMGkD77GgDSZ1+De9AAofopF11A0qSw61zmvXdja8JzzdNhmibpN1yPK6cftuRkMu+/LzoqKEQ/FCLz5/dga98eZ3YWGbfMFdohsCYl0vn++8BiIfHccaT+eKowbQBX3z5k3HQDAO2uvIKE4cOE6jeHWBvqP3z48HFz+AFycnI4cOBAo3ViNvDXDwaa1Sq0UEpY72hxDovTiUXgnGyLy9VgHq3oAkHWhASwHJ0jLVy/gZ4mVf/YtmgpmsUS3j91WOLihNY6CB8rjuh7a2Ki0Pnq1oR4NMvR015u28rV1yxag7ZoKZrW8Fi0OBxC58Mfe6xYExIatEVLscbHo9WzKZay77Vj3p9tYmyov0+fPrz77rvHLV+9ejW9evVqtI4q2atQKBSKtkkbDN4t4Y477uC2227jq6++itrzbtmyha+++oo//vGPjdZpdT3+xx57jCeffLLBsvXr1zN9+nSGDh3K7NmzKRScbKZQKBQKRWtn4sSJ/PWvfyU9PZ1PPvmE//znP7Rr147XX3+dyZMnN1qn1fT4KyoqePLJJ3nrrbe4+eabo8vLyspYsGABTz31FOPHj+fFF1/knnvu4c033zyLW6tQKBSKs01bfE7fUoYNG8awYS3Lr2g1Pf7Zs2djtVq56KKLGixfs2YNOTk5TJ48GYfDwW233caePXvYsmXLWdpShUKhULQKYuwZf32GDx/Onj17mvXdM9bjDwaDeE5Q991isZCQkMBf/vIXOnTowC9+8YsGn+/atYusrKzoe6vVSteuXdmxYwcDBw5s0Ta5cvphleTABZA4doy0krEAKdOmCs1qro/FbqfdlVcQ1727FH17ejrtrrxC2v539emN5YrLpWgDJIw+R6pJT8qFF2BNkpQ8pWnhtu3VU4q8LS2NdldeIe3YdGb1Cs8KEZgYV5+EEcNw9c6Wog2QPGUyFpccEx2AdrMuJ657Nyna1qRk2l15Bfa66bhnnTYevFtCS2b7nLHA/+WXXzJ37tzjlnfu3JmPPvqIDh06nPB7uq6TcEzmrsvlQtf1Fm9TXNcu2FKSW6xzUv2sXlIDv6tP7+h8e9FoNhvuQQOlZe7aUpLD+gIz7uvjyMyUmnXs7NVLauB3ZmfJa1uLRWrbWhMTpeo7OnYMZ7BLCvxxvXph1NRI0YbwsSMz8LsHDpDXtvFuqW3bVGJxqD9CS2b7nLGh/nHjxrF169bjXh999NEpv+dyufAeU3pS13XcAjzog1VVVP7rkxbrnAyZJjcA1V98SaD0kDT9ivfel3bjYpom5e+ukqINYZOhI2tPfWy1BF9RMR6Jj5tqv90kzeQG4Mj7a6RaRpf/Y7U0bcPn48gHa6Tp+/fuo/bbTdL0PVu2SDW5ObL2I2mumiC3bVsTeXl5zJo1i6FDhzJz5kw2bdp0wvVefvllJk+ezMiRI7nzzjspq6to+O6770afx0de/fr148EHHwRg8+bN5OTkNPh8+fLljd6++j1+wzAoKSlp9HdbzTP+k9GrV68GWfyhUIjdu3eTnd3yoTg9L1+qba6eJ9fBTc/Nl+ryVbvpOykmNxA2Gar9+hspJjcQrszo+f57adawMp0RI/qyjh3TMKjdvFl4VcAIwYoKar/aKMXkBsC7fQe1322W7Kopx5wqrJ8nzeTGNM2w7a8EfxAImwzVbvxamqtmk5H0jN/n8zF//nwuv/xyvvrqK+bMmcOCBQvwH3Oz/N5777Fs2TKefvppPv/8c7Kzs7ntttsAmDFjBt9++2309fzzz9O+fXvuuOMOAAoKCpgwYUKDdebPn3/KP/f888+PJrZ/++23dO3aFYDy8nKmTJnS6N3W6gP/BRdcwJYtW1izZg1+v58XXniBjh070r9//xZre3LzpJncRGxzZZncREyGZAUf765CTK9XnstXbq40k5uwfh6hiiME9os3uYnoyzK5iZgMydr3EZMhee588kx6IrqyTG6grm0luWpGTIZk3dRFTIakOSPWmQy1lnK9sir3bdiwAYvFwuzZs7Hb7cyaNYvU1FQ+/vjjBuutWbOGq666imHDhmG327nzzjvZsWMHW7c2vPGqra3l/vvv5+GHH6Zjx45AeEShX79+Tfp79+7dy6JFi3jyySeP69Q0pZPT6gN/eno6zz//PM899xyjR49m/fr1/PGPf2xxNTMjEIjWuJfi8rV/P6GKIxi6jq+wSLh+xGQobHIjflivvguXjF5zxGRIxgWqvsmQlLatMxmSYXIDR02GZJjcQD3nRUnWsPX1RWMaxlF9Cb3yqMmQBJMbOGoyJMvkJjKSoBe0PVfNZiGpx19YWNggqRygZ8+ebN/ecJTMMAyc9ao7apqGpmkUFzd8lPOnP/2JPn36cP7550eX5efn88033zB58mQmTZrEk08+edyIwol47rnnWL16NT/5yU+oqZeL0pSY2OoC/xNPPMH999/fYNmYMWN49913+fbbb/nb3/5Gz54tz0b27tiB6Y+4fIkfLq9/Ykhx54tomiZ6gdhec32Xr2B5uXCTm1CtJ3ozpG/dJjyPwFdYhFGX/CnHGVGuO18DhzgJwS1q+1tVJTyPwPD50OtuhvTtO4Sa3EDYZCjyeEhG2+qSXTX1M3RdMDziOxxmMIheZ4nsKyySmkfQaCQFfo/Hg8vlarDM6XQel282efJk/v73v1NQUIDf72fZsmX4fD589Y772tpaXn31VRYsWNDgu6mpqUyePJlVq1axYsUKvvjiC5YuXXraP3nQoEG8/vrrlJeXM2vWLIqLi7E0MdG11QX+M4Wemwd1d0jewiJCAmYJNNTPD+trmnjb3MgJKEk/UFpKMOJWqGnCg5teUBA1PzH9frw7dgrV99RrW/+evcLzCKLHjqbhyRM7ImIaRni0op6+SALl5WEXN5By7OjbtkNkFCEUCr8XiCdyXgGBAweOHqfC9HOj+17PLxA6ImKaZrg9I/qCb+pC1dX499S5FUo4drw7dmJGeqSmKTVx+WxzoqRyr9d7XFL5pZdeyvXXX8/tt9/OlClTcDgcZGVlkZR0dJry2rVryczMZOjQoQ2+u3z5cubOnYvb7aZr167MmzePDz/88JTbFenVd+jQgb/97W/07t2bK6+8kq+//rpJf1/MBn5X//4kXzAFzekk8+7/whDoCW+GQiRfeD7ugQOI69WTdrMuF9rzCdXU0vH2edhSU0g8dxwJI4YL0w7/QIhOd/8XAGlXXIajSxeh8raUZNJvnANAh3k/idrEisLZpzcp0y4Gi4XMn98T7f2LwDQMkiZOIH7YUBxdOpN+3Wyh+kZtLRm3zMXeIYOEUeeQOGa02BsLn5/Mn98DQOqMS3D27CFMG8JGMRm3hKftZtwyV/h0TWfPHqTOuASAzPvuwfCJm5lgmiaJY8eQMHoU9owMMm6ZK/S6YOg66dfNxtG1C/HDhpI08TyhNxaGrofb1mIhZerFOE/g4tYSNKeTDvN+AkD6jXOkToVuLFoLXyfj2KRyCA//H5tUXlpayrRp0/joo4/47LPPuOaaayguLiYnJye6zscff8zUqQ2dEisrK3nyyScbDNX7fD7iTmP4Vf9a4HQ6+eMf/8i1117LXXfddcrvHUvMBn53/xw0a7iMgSOzE/Y6n2kRaFYr7v450Z6Jq09voQ5utpRk4rqFC3RoFgvuAS1PdKyPIzMTW7tw8RWLwyHcNteZlYWl7s7ZmpiIs4fYIkHunH5otrq27dABe0aGMO3o/q5rW2d2FlYBU0sjWBMTjwZjiwX3wAFC3fkcnTpGi69odhuufn2FaQM4e/XEmhAO9taEeJyCiwS5+vVFs4fb1p7eHkenjsK0NU3DPXDA0bbt2UPofHWr240zOyvyY7gH9Bdai8CekYGjrh6KZrfhzmla4tjpcPboHi0qZXG7cR7zDPysIGmof+zYsfj9flasWEEgEGDlypWUlZUxfvz4BuutX7+eefPmUV5eTk1NDY899hjjxo0jo94157vvvjuut5+YmMiHH37Ic889RyAQoLi4mOXLl3P55acuOrZgwYLjRh3uuusufvvb3zJy5MhTfrc+MRv4FQqFQtG2kZXV73A4eOmll1i9ejWjRo3i1Vdf5YUXXsDtdrNo0SIWLVoEwMyZM5kwYQLTpk1j8uTJmKbJ7373u6hOKBTiwIEDpB9T6dBisbB8+XIKCgoYM2YMs2fP5uKLL+bGG2885d+7YMGC43IPIDx1cMWKFY3eb63GpEehUCgUitZCv379eO21145b/uijj0b/rWka999//3EJ6RGsViv5+SfO5cjOzuYvf/mLkG1tKirwKxQKhaJtEsMle1uCCvwKhUKhaJuowN8sYjrw29Pbh5PwJBHXravwecz1cfbpg11gclN9NIsF18ABWFNSpOhb4+NxDRyAxSku6bE+9nbthCc91sfRpYtcE6DevbFnyHNAcw0cIM/Z0eUOt61LXNJjfWxpabjqJeGJxpHZCc1qlaINYXdBa5K8jHj3wAHY27WTom2JiwtfFySZazWVWDbpaQmaKauY+Vmi5zNPN2l9MxSSdpKbpgmGIU9f4rYr/bOr35a3XemfPe3Wql/4X/dI2ZahC/7Qou9veq5p0+B+KMR0Vr/h91P9+QZp+v69+6SZ3ADUfP0NIYn2oVWffibN5CaiLwszGKT63+ul6QdKS6UWMPFs/l6ayQ3Uta0kk5uIvixMw6Dqs39L0w9WVODZ/L00fT2/QKrJTfW/10u1A5fZtoozQ0wHfu+27dRu+k6avp4n18FN35IrpR46hEcrqj77jzSTm1BNDUc++FCKyQ2ETYZqmljNqilId+fbkhv1M5BBzRdf4tu9R4q24fWGbX8lmNwA+HbvoWbDF1K04cw4L8rUr9n4Nd5jis+IwvAHOPLBh4RqxBU2agmypvP90InpwO/JzZNmchPRl2VyYwQC6Fu3SruABPYfIFRRIc+dLy8f0+eTYnID4X3v3yPH5CaiL8vkxgyF0AsK5Dm4lZUROFgqTV8v2Irp90uzhtVz86SZ3ET09fx8KSY3EZMhWedVsLIS/9690uzGvTt2YPp86CeZonbGkVTA54dOzAZ+0zDCvWXDEG5yA3Un4J69BA8fFm5yA0dNhmSY3MCZsVYFSe589UyGZIyIREyGZJjcQJ3JkEeXYnIDZ65t26J+xGTI8Oj4ioqE60dMhmSZ3ETq/4v2kDiq37rc+VSPv3nEbOD37yshVFUFyHf5kuGwFjkBTZ9PSh5BRN+/e49wk5v6Ll8yLlCB0lKChw+H9WW0bUFB1IhGqvtfMCjc5AaOtm1g/37hJjdRkyEQbnIDdW6RdY+fpJxX27ZDXU9fjnte3TbX209C9euOnWDZYeF5BFGTIepGdSTmESjkErOB31PPilfPF+9d7ZFo72ma5tELiAT9UHU1vt27Iz8m/Fmzd+cuzLqebOhIJf6SEqH69Yc5vdu2Y/jF5hHUH6XQBTugwbG2vGL1DV1vcKMoum19xbujxjZGbS2+4t1C9etvr3fnTqEGSXBM20q8YQfxo1GGP4C33o2i6GPHX1JC6Ej40ZmsDkeTUUP9zSJmA79msRI/Yjiaw0HKhecTOCju7tgMhbCntyeuZ0/smZnE9ewudMg2WFFB4tjRWJOSpMyF9x84QOqM6QAkjh8XDdKiCFVWknz+ZABSpl5E8JDYZ7WmaZIwaiRoGqnTpxE4cECctmFgTUnB2bs3tox0XP36Cs0RCVZWET90SHiuek4/rAkJQkdE/PsPkDYz7G6XMHYMpuDkymB5OckXng9A8oXnC5+ZYAYCJIwdA0DajEvw7xfYtqaJJT4eV04/bGmpuIcOJlg3KiiCUK0HV7++2DMycPbOxpqSLHREJHBgP6k/ngYWCwmjRmIaYiNb8FAZKVMvAiD5/MmEJOXPNAkV+JtFzAb+lAvPD7u2WSwk/2gSjsxOwrQ1q5W0GZdgTUzA4nKSdsl0oe589rQ0Ui68AM1mxZ6WRuq0qaf/UhNw9e5NwuhRAMR160bShPOE6ieMOgdnn7Djn3vgQOKHDhGqn3L+ZOydOoGmkTThPOK6dRWmrVkspM2YjjUpEUtcHKk/noY1XlyhGltyEqlTL0Zz2LGmpJA6fZpQdz5nr54knjsOAEfnTJJ/NEmYNkDCiOHRolju/jkkDB8mVD/5R5NwdM4EIPHcsULd/zRNI+2SH2NNSUGzO0idejG2er7qLcUa7w63pzMOa1ISaZdMF+rOF9etG0kTw+eqvVMnUupurkURP3QI7kEDgXDxsIRR5wjVbw7qGX/ziOnKfQqFQqFow8Rw8G4JMdvjVygUCoUiFlE9foVCoVC0SbQfVsX5M4YK/AqFQqFom6i43yxiO/BbNKlmFlgscvWtNhCYHHS8vlWaAxpaRF+SvCZ332tW2fpWoYlfx2G1ommy9LVw20pqXE2z1OnLQbPI1rdKPW812xloW0nnbVOJ5QS9lhDz7nwKhUKhkIssd75z5i5p0fe/+vPdgrakbRHTyX2mYUirJw4QrDiCv0SOyQ0QLi0qyeQGwCO5HrdMfdM08Uh0zwvV1B4tciQB765CaSY30LbbVra+4fXi3SXH5AbAt3u3VJMbT36+VFdN2W2rkE9MB37/nj1SbXk9kt35ar/5Fu8OOSY3AEfeXyPN5MYIBCh/6x1p1rCB/Qeolmjdqufn4/k+9/QrNhPPd5ul3pRWrvuYQNlhKdpmKET5m+9IMbmBsMlQ5bqPpWhDuByt57vN0vQ93+dKNbmp/uw/BAQWNqqPaRiUv/WO1A5HU1Dz+JtHTAd+T26eNJMbqHP5khT4TdNEz8uXph+srMK/e48021/vjh0ED5VJMbmBuraVZHIT0fdIKNcLR2uiy7LljZgMyTp2fEVFBMvKpJjcQLiUriyTGzjatrJ6zTJteSMmQ7KOTf/efQQPleHdsVOKfpNRlfuaRasJ/M8//zyTJk1i5MiRzJkzh23btkU/W79+PdOnT2fo0KHMnj2bQkFe057cPGk1pyMnoG/3buEmNxA+AUNVVXhy5QzrRXok0mx5Jbt86bl5EAw2qF0uCjMYRC/YSqBEvMkN1JkMlR2WZvsbMRlqi+55UV1JJjcRk6Gwyc0h4foRkyFZJjf6tu1hc6c26KrZHFSPv3m0isD/5ptv8s4777BixQo2bNjA2LFjmTdvHoZhUFZWxoIFC7j77rv58ssvGTduHPfc0/JEkWB5OYG65+8yLlDeuhNQhskNHDUZCh05ItzkJqwf3icyTG7qmwzJuIDUNxmS0rb1TIZktG3EZEiGyQ0c3ecyTG5Asm2uruPdGe5tyjh2fEXFUZMhPVf8o5zIPpHtqukrltPhqH/D/gPLC48pWkXgr6ioYP78+XTt2hWbzcYNN9xASUkJBw4cYM2aNeTk5DB58mQcDge33XYbe/bsYcuWLS36TU8D29xc4QdxA4c1GcFBoouY4Q/grbPNNQMBvNvF9poDJfsJHTkCgH/fPoJHxOYRePILoK49PRJ6zfXbVqotL+KDmxkKHU16NIyoPbIoAocOEazrKQdLDxE4JLbXrBdsjVoi6wVbhecR6BJdNUGya6dhHNWXkNwaPHIE/77wo7nQkSNRe+SzihrqbxZnLPAHg0GqqqqOe9XU1HDLLbdw2WWXRdf96KOPSElJoWPHjuzatYusrKzoZ1arla5du7KjhUltvuLdOLp1BasVW7v2BA4cbJFefUzDIHDoELb09lhTUghVVgkd1gseqUSz2dGcTuyZmfj37hWmDeDduQNndnifx/XqGe1hiULfuhVn794AOPv2CQ89C8RXWERc9+6gacR1Frt/TNMkcOAg9g4ZWJOSMHWv0DyCUG0thAwsCfHYO3UUPprjLSzE2bMHAHE9egjPXtcLtuLsU9e2fXoLv7Hw7iokrkcPAOJ6dMdXWCRU319Sgr1TRyzx8RAyhDovGl4vhq5jTUrCnpFB4MBBsc6Le/YS1zkzfNx3F79v9IKtOPuGzbWcvcW3bXNQQ/3N44wF/i+//JJzzjnnuNeMGTMarPfVV1/x0EMP8etf/xqLxYKu67hcrgbruFwu9BYOUba/+krcAwag2e10vH0e9vT2LdI7lo63z8fRqRO2dml0XHiH0EI41oR4Oi68A6vbhSs7i/QbrhemDWF3vvZzrgMgccxo4e5/SRPOI/mCKUDYWjVh5Aih+u2uuAz30MGgaXSY9xMcmZnixE2TDvNuxdGlC9bkJDr+bIHQQj6WuDg6/mwB1oQE4nr0IOPmm4QGB2ePHmTcMheA+JHDSauzXxZF4tgxpE67GIDUaReTOGa0UP20mZcQP3I4ABk330Rcj+7CtE3TrNPsgTUhgY4/W4AlziFMX7PZ6PSzO7GmJOPo2oUO826NjkyJwNE5kw7zfgKahnvoYNpdcdnpv9QEEkaOiFo6J18whaTzxgvVbxam2bJXjHLGKveNGzeOrVtPPT3p7bff5pFHHuHBBx/kkkvCB5jL5cJ7zHxmXddxu1tmharZbKd83yLtY6pyia7AJnPbo3r1putI0T/F+9asf1zbahqI1D8D+6b+8Hhb2vey9Y9tS+ltK7g6YFve980llnvtLeHst1wdy5Yt45VXXuH5559n7Nix0eW9evXi/fffj74PhULs3r2b7Ozss7GZCoVCoVC0aVpFct8bb7zByy+/zN/+9rcGQR/gggsuYMuWLaxZswa/388LL7xAx44d6d+//1naWoVCoVC0ClRyX7NoFT3+F198kdraWmbNmtVg+cqVK8nKyuL555/nt7/9Lffffz85OTn88Y9/DA/DKRQKhSJm0eQU/vzB0yoC/wcffHDKz8eMGcO77757hrZGoVAoFG2CGO61t4SYducLlJcTKq+ITl0Tjb9kP2YoRFzXLlL0vYVFWBPisaenC9c2QyG8u3Zhz+iALTlJuH7I48G/bx9x3bphiYsTrh+sqCBQdhhXbzm5IP79BzADfuK6dZOi7ysuRnO6cHTIEK5tGgbenTuxp2dgS0kWrm/oOr69e4nr0gXLMTNyRBA8UkngUCnOrCwp1sX+g6WYXj08JVQCvt270ewOHJ06StHXt+/A3r4dttRU4dqGz4dv924cnTtjbUKCtSx3vnOvbJkb639eP/l25eXlsWjRInbs2EH37t155JFHGDp06HHrvfzyy7z88stUVVUxduxYHnroIdq3D88S+9Of/sQzzzyD3W6Prv/SSy8xcuRIKisr+dWvfsWGDRtITEzkjjvu4Morr2zR39NYWsUz/rOFPS0Na7L4C18EW1oqVglBM4I1MQFbe7HTECNoViu2lFQpQR/A6nZjS0mVEvQBbKmp2FJSpGgD2Nq3w5oor20tCQnY27eToq1ZLOG2lRD0ASwuV7htJQR9AFtKMraUVClBH8Devh2WhAQp2gDWxCRsktoWwJaSIiXoQ3i6qS0ltUlBvy3i8/mYP38+l19+OV999RVz5sxhwYIF+P3+Buu99957LFu2jKeffprPP/+c7Oxsbrvttujn+fn53HXXXXz77bfR18iRIwF48MEHcbvdrF+/nqVLl/LUU09RILimycmI6cAfOHyYqk8+kaavb90mzeQGoObLr6SZ3ABUrFotzeTGNE3K33pbijaETYYq166Tpu/dsRPP5u+l6dd+u0mayQ3Akfc/kGZyY5om5W++Ja2ka8jj4cj7p3482BJ8RUXUfrtJmr5n8/dSTW4q164jWFklTb/8rbdbT7leSfP4N2zYgMViYfbs2djtdmbNmkVqaioff/xxg/XWrFnDVVddxbBhw7Db7dx5553s2LEjOnU9Pz+fnJyc4/Rra2tZu3YtCxcuJC4ujsGDBzN9+nRef/11sfvnJMR04Ndz86SZ3ADokm15Pbn50Zr9ojF8Pjx5+VJMbiBsMqTnF0gxuYE629y8PGm2v7pEd76ovuBSzBHMYDDsXijJ9jdQeihsYiTB5AbqbHNz86S5anpy84SXwT5OX5azY535kizb32B5OXp+gdQOR1OQVbmvsLCwQcVYgJ49e7L9mPLlhmHgdDqPbo+moWkaxcXF6LpOUVERr7zyCueeey5Tp05l5cqVABQXF2Oz2ejatesp9WUR04Hfk5sXrjldIr7mdKRutnfrNuEmN1D3DLukRJpLlnf7DqgLEDKI3LDIsp715OZh1NRGzXpEEjYZysO7cxfGMcWlRBCqrsZXvFte29aZDMnSj5jbyDC5CevKc9WE8LHjKy4mVFMjXDtiMiTL5MZXvBujtlbeeZsnz1yrWUiazufxeI6rGOt0Oo8rJjd58mT+/ve/U1BQgN/vZ9myZfh8Pnw+H2VlZQwfPpxrr72Wjz/+mMWLF/PEE0/wySef4PF4GtwwnExfFjEb+A2vN3rhkHGS+HbvxqiplWJyA0e32b9XvMlNfX0ZJjcg15a3vsmQjAtU1GQoFJLSa46YDAVKSwkcKhOvH7FWzS8QbnJTX19G25qhUNSOV4Z+1GTINOWYa9WZDIUq5JjcRJ0Xt23DCIjvcMi2XG4tnKhirNfrPa5i7KWXXsr111/P7bffzpQpU3A4HGRlZZGUlETXrl159dVXmThxIg6Hg5EjRzJz5kzWrVvXaH1ZxGzg1wu2Qt1FT8ZweQP3PNnufIL1TcOI6hvV1cJNgIJHKqNDhd7tO4TnEXh37MCsu+jJds+ToV+/bYU7uJnm0bbVdeFGLqHa2qimr7BIqMkNhE2GIlbCuoRec/3HK23NnS+sX2f76w+ER+0EYni9UU3/3r0EK8V3OJqKrKH+Xr16UVhY2GBZYWHhcRVjS0tLmTZtGh999BGfffYZ11xzDcXFxeTk5JCbm8uLL77YYH2fz4fD4aB79+4Eg0FK6plwnUhfFjEb+D25eeGsY00jUHpIuHe1J68ALS4OzeFALygQeoEyfL6wT7vViuZ0Cr9x8e/dF31+anG5hF+g9Lz8aMa3xeEQ7vKlR9oWCFYcISA4j0DPy0dzOtHsdrzbtgsdETGDQbw7d6HZbWhOp/BnwYGDB6OBU0rbFmzFUjeEaXE6hTsv6rlHjx1D1wkcFOeqCeG8nHDb2sKPRATmEZiGgXfbdjSHva5txd6wB8rLCVYcAcJtK/rY0bdtx+Jw1NOXlwfRaCQl940dOxa/38+KFSsIBAKsXLmSsrIyxo9vaEy0fv165s2bR3l5OTU1NTz22GOMGzeOjIwM3G43zz33HO+//z6GYfD555+zevVqLrvsMhISEpgyZQpPP/00uq6zefNmVq1aFfWokU3MBv7kH00kadJEtLg4uvz6l5ghgRfvUIj0ObNx9e0TduG6bR7mMdNAWqQfCJD5i/uwJSeROOocUn8s1j3P4naT+fPw/Na0S2cQP2SIUP24Xj1Iv3EOAB3m/xRHxw5C9RPPHRt2/7NY6PLgr9A0cYe5aRi0u2oW7gH9sXfsQKefLcAUOGJh+Pxk3nsXtnbtiB82lLRLZwq9adQcDjo/8AsAUn48lYRzRgrTBnB06UzGrTcDkHHrzTi6dBaqn3DOSFLqjvfOv/oFmkOce55pmuHjfdhQbGntyLz3LgyfwPPW56PTzxZg79gR94D+tLtqltCbRk3T6PLgr8BiIfmCKSSOG3v6LzUBe4cOdLhtHgDpN84hrs7e+Wwiq8fvcDh46aWXWL16NaNGjeLVV1/lhRdewO12s2jRIhYtWgTAzJkzmTBhAtOmTWPy5MmYpsnvfvc7IJys98wzz7Bs2TKGDx/Oww8/zOOPP86AAQMAWLx4McFgkIkTJ7Jw4ULuu+8+hgi+1p6MVlG572zgyMzEsyV8R2yNjxeqrVmtODoeLc5hFzzX3nrMHGOhtrOE5zGHIrbHmoYjs5NQfUfHjujV4cQpzWbDniG2SI0jMxO9bjaC1e0Ggc/NNIsFR6ej+8OWliZMG8Aa7waObq/ofW9PS2vwXF9423bogK+4GADNasHRQexNnSOzE966IViLMw5rgrhzV9O0BueS6DoQFperQW2D+seRCBrM3T/mbxGBo0MG/khegsXS4Bp31pA4q7Bfv3689tprxy1/9NFHo//WNI3777+f+++//4QakydPZvLkySf8LCUlhWeffVbMxjaRmO3xKxQKhUIRi8Rsj1+hUCgUbZtTDdcrTo4K/AqFQqFomxgq8jcHFfgVCoVC0TZRcb9ZxHTgj+vejaTzxp9+xWbiHjgAQ2A2/7EkjBkjzeFLs9pI+tFE7IKTsyLYUlJI+tFELIITKyPEde1C0qQJUrQBXP1ziKtXblM0CaPOkWa0gqaR9KOJODqLTf6KYE1KIulHE7EmyTExcnTOJOlHE0HTpOi7+vTGni7H/AogYcRwacc9QNKkCdIcQS3x8ST9aKJUA6ymoIb6m0dM2/JCuCiF5ZjSiaIwQyHMUCg691U0Mrdd6Z8a0zQx/X5p7oKG1xuuAyEpuLXlfS9b3zRNTJ9Pmr7h86E5HDHVtrJseSdN/V2Lvv+vf/5c0Ja0LWI6qz+k61R99m9p+r6iYmkmNwA1X24kWFEhTf/Ih+ukmdwAHFmzVpq24fdT+bE850X/3n1Sy5bWbvpOmskNQOW6j6WZ3IDctjWDQSrXfXz6FZtJoPQQtZu+k6bvyc2TanJT+fEnUkcaZbZtk5FUwOeHTkwHfj2/QKq1qidXtjtfrjR90zCo+fJLKSY3EDYZqvr0MykmNwDebdvxSLx467l5Uo1Kwg5xckxuTNOkZuPXeHcVnn7lZhCqrqbqk0+lmNxA2GSo5uuv5blqSjyvwvqSj51N30nrcBi6TtWnn0UrBJ5tZBXw+aET24G/7s5bhskNhMt/6rlyrGEjJkOyLiC+3Xswamql6Xty86SZ3ET0ZZncRPRlmdwYgQDebdukORcG9odNhmQFNz2/AAxDWklXT16+NJMbCLetLJObiMmQLEvnwKEyAqWl8tp26zYIhaRaUjcJSe58P3RiNvCboVC0jriMC1SgrIzAwVJCEkxu4KjJkC7B5AbkuufJ1q9vMiTjAhWsrMS/d68UkxsIGxeZ/oAUkxuo584nyRpWqjtfPZMhGfoRkyHTH8C7Q6zJDRw1GfLvkWNyE21bSa6a9Y8dRdslZgO/r7AIwxMuSyvDna/+RUmKC1dEMxQSbnJTXz+w/4BwkxvD50Ovc/nS88VfoPx790ZNl2RcoHTJDm7RbTYM4SY3cHSbg4cPCze5MYPB6PGob90mPI8gcPAgwcOHAUn7vs4SGWQdO7JdO8PXslBVlfA8AtMw0PPD2yyrw9FUNNNs0StWidnAX78n6N2+XXgyTIMTPFeCbW7+0YAg+gISLC9vMIwq+gKob9setUQ2aj34ioqF6te3VvXu3BV1oxOmL9GW1zRNqfqh6mr8u/dE34s+Nr07dkZNi0yfD+/OXUL16x+L/t17JLhq1r+py29Ttr8hXW+QtyFa31dUjBEZgQoGpSYuNxqjha8YJWYDvz0jg8TzxqPFxZF+wxyh2fFmKIR78CBcOf2I69GdxHFjhN4dhyoraXfFZVhTU0gYNRKH4Dm7waoqMm6+CYCUqRdhEWhyA6ABaVdcBkD7a68W6lwIYEtLJelHk0DTyLh1rti2NQxc/friHjQQe2YmyVN+JHQ4PlRdTeq0adgy0okfNhRnr55Cg0+w4kjUPS/5gvOFz7U3QyHaXX0lAO2uvlJ4j9+alEzyBecDYfc/kUlmpmni7NUz7M6XkU7qj6cKvbEI1XpInvIjHJ0zcQ8aiKtfX6GjXaGKCjJunQsWC0k/moQtTWwdCNPvp/3sa4Cj5+/ZRvX4m0fMBv7EMaPDLneahnvgAKEuYprVStL4c9HsdrBaSRw3Vuh8b1tqKvHDhqJpGhani6RzxwnTBnD26EFcdlb0txJGDBeq7x40MFoYyNGlC65+fYXqJ44ehTUpMdy2OTlCXco0iyXctg4HmtUS/q14cTdGtqQkEs4ZgWaxoDmd4d8SON87rltXXH37AGBNDv+WSNwD+keLSjk6he1nRZJwzgisyeGbFVef3sR1E1dESdO08P52OtE0CwkjR2ATeGNkjXeTOHoUWK1oDkf4tyziLsGOzEzcOTnh30pKDP+WQFz9+kZtlu0dOuAeNFCofrNQyX3NImYDv0KhUCgUsUirCPx+v5+HH36YMWPGMGLECG677TYO1ks6Wr9+PdOnT2fo0KHMnj2bwkI5848VCoVC0YZQBXyaRasI/MuWLWPnzp28//77fP7556SkpLB48WIAysrKWLBgAXfffTdffvkl48aN45575JR/VCgUCkXbQRXwaR6twqRn4cKFBAIBnE4n+/fvp7a2ltQ6g5I1a9aQk5PD5MmTAbjtttt4+eWX2bJlCwMHtoJnTAqFQqE4O8Rwr70lnLHAHwwG8XiOz362WCwkJCRgtVr54x//yLJly8jIyOCvf/0rALt27SIrKyu6vtVqpWvXruzYsaPFgd+aEI+9Q0aLNE6pn5KCxSnHxAXAlp4eTmKTgKZp2Dt2wOJySdG3OBzYO3ZAs8k5BK1uN/aOcpwFIewuKKNqX1S/fXuhiWXHYu/YAavg2RoRNLs93LZ2uxT9aNtKMrmxJSURkujOZ2vXDmtysjR9e8eO8trWZgtfFyQZjzUVLYan5LWEM+bOt379eubOnXvc8s6dO/PRRx8B4PP5ME2Tp556ik8//ZTVq1fz8MMPk5CQwC9/+cvod6677jqmT5/OtddeeyY2XaFQKBStkAvG/6ZF3//w3w8I2pK2xRnr8Y8bN46tW09dlz2ubsrbz3/+c1577TW2bduGy+XCe4yRi67ruCXd0SoUCoWijaCG+ptFq0ju++Uvf8nf/va36PtQKIRhGCQlJdGrV68GWfyhUIjdu3eTnZ19NjZVoVAoFK0FNY+/WbSKwD948GD+93//l71796LrOr/5zW8YMWIEXbt25YILLmDLli2sWbMGv9/PCy+8QMeOHenfX2xhEIVCoVC0LVTlvubRKrL6r7nmGg4fPsy1115LIBDg3HPP5dlnnwUgPT2d559/nt/+9rfcf//95OTk8Mc//lFoNTOFQqFQKGKFM5bcp1AoFAqFSC4c82iLvr9mwyJBW9K2aBVD/T9kVq5cyejRoxssi/VKhM8//zyTJk1i5MiRzJkzh23bjtoKx/q+AcjLy2PWrFkMHTqUmTNnsmnTprO9SWeNjRs3cuWVVzJixAjOP/98XnvtNQAqKyu54447GDFiBJMmTeL1118/y1t6dikrK2Ps2LF8/PHHQAztH+XO1yxU4JfInj17eOKJJxosi/VKhG+++SbvvPMOK1asYMOGDYwdO5Z58+ZhGEbM7xsIT2mdP38+l19+OV999RVz5sxhwYIF+AU7GLYFKisruf3225kzZw5fffUVzz77LEuWLGH9+vU8+OCDuN1u1q9fz9KlS3nqqacoKCg4vegPlAceeIAjR45E38fK/lHP+JuHCvySCIVC/PznP+eqq65qsLx+JUKHw8Ftt93Gnj172LJly1na0jNLRUUF8+fPp2vXrthsNm644QZKSko4cOBAzO8bgA0bNmCxWJg9ezZ2u51Zs2aRmpoa7cnFEiUlJUycOJEZM2ZgsVgYMGAAo0eP5ptvvmHt2rUsXLiQuLg4Bg8ezPTp03+4vdrT8P/+3//D5XLRqVMnAGpra2Nn/6ha/c1CBf5mEgwGqaqqOu5VU1MDwIsvvkjv3r2ZOHFig++dqhLhD4VT7ZtbbrmFyy476uX90UcfkZKSQseOHWNi35yOwsLCBvsAoGfPnmzfvv0sbdHZIycnh9///vfR95WVlWzcuBEAm81G165HLXljdR8VFRXx5z//mYcffji6rLi4WO0fxSlpFVn9bZEvv/zypJUIly5dyjvvvMMbb7xxXG9V13USEhIaLHO5XOi6LnV7zySn2jeRKo0AX331FQ899BCPPvooFoslJvbN6fB4PLiOKZPsdDqPK2IVa1RXVzN//vxor/+VV15p8Hks7qNgMMh9993HAw88QEpKSnS5x+PB6XQ2WPcHu39iuNfeElTgbyYnq0To9XqZNWsWjz32GPHx8cd9HguVCBtTpfHtt9/mkUce4cEHH+SSSy4BYmPfnI4T7QOv1xtT++BY9uzZE3089Mwzz7Bz5061jwgnyebk5Bw3qhhTx1AMJ+i1BDXUL5gtW7ZEL1QjR45k/vz5VFZWMnLkSEpKSlQlQsI2zI8//jjPP/88l19+eXS52jfH7wMID//H0j6oT25uLldddRXjx4/n+eefx+l00r17d4LBICUlJdH1YnEfvffee6xevZqRI0dGry933303//rXv2Jm/8hM7mvs7JqXX36ZyZMnM3LkSO68807Kysqin51sVgrA5s2bycnJYdiwYdHX8uXLheyX06ECv2BGjhzJd999x8aNG9m4cSPLly8nOTmZjRs3kpmZGfOVCN944w1efvll/va3vzF27NgGn8X6vgEYO3Ysfr+fFStWEAgEWLlyJWVlZYwfP/5sb9oZp6ysjFtvvZW5c+fyy1/+EoslfLlKSEhgypQpPP300+i6zubNm1m1alV05ChWeP/99/n666+j15rMzEyWLFnCHXfcETv7R1JyX2Nn17z33nssW7aMp59+ms8//5zs7Gxuu+024NSzUgAKCgqYMGEC3377bfQ1f/58efuqHirwn2EilQife+45Ro8ezfr162OqEuGLL75IbW0ts2bNanCnu3PnzpjfNwAOh4OXXnqJ1atXM2rUKF599VVeeOGFH+Yw7WlYuXIl5eXlvPDCCw2OlT/84Q8sXryYYDDIxIkTWbhwIffddx9Dhgw525vcalD7p2U0dnbNmjVruOqqqxg2bBh2u50777yTHTt2sHXr1lPOSoHwiEK/fv3Oxp+nKvcpFAqFom1y8eBft+j7729+7ITL//KXv/DZZ5/xP//zP9FlCxcupE+fPixYsOCky0zTZMSIETzxxBNceOGFDTQrKyu5+OKLWbx4Meeffz5XX301DoeDffv2YRgGU6dO5a677sLhcLTob2oMqsevUCgUiraJpKH+xs6umTx5Mn//+98pKCjA7/ezbNkyfD4fPp+vwXr1Z6VMnjwZgNTUVCZPnsyqVatYsWIFX3zxBUuXLhW0Y06NCvwKhUKhaJtIKtnb2JkRl156Kddffz233347U6ZMweFwkJWVRVJSUnSdPXv2cM0115CcnMxzzz0XzVVZvnw5c+fOxe1207VrV+bNm8eHH37Ygp3ReFTgVygUCoWiHo2dXVNaWsq0adP46KOP+Oyzz7jmmmsoLi4mJycHOPGsFAgP+z/55JPRgm8QTiiMi4uT/JeFUYFfoVAoFG0SWdP5Gju7Zv369cybN4/y8nJqamp47LHHGDduHBkZGSedlQKQmJjIhx9+yHPPPUcgEKC4uJjly5c3mN4sExX4FQqFQtE2kfSM/1SzaxYtWsSiRWE735kzZzJhwgSmTZvG5MmTMU2T3/3ud8CpZ6VYLBaWL19OQUEBY8aMYfbs2Vx88cXceOONZ2S3qax+hUKhULRJpvb9RYu+/8+tT5x+pR8gqsevULQiNm7cyPXXX9/s7z/11FP87//+r8AtUihaMcqdr1mowK9QtBJ8Ph8PPPAAP//5z5utMX/+fP7yl79QVFQkbsMUCsUPChX4FYpWwptvvkn79u0ZPHhwszUSEhKYMWMGzz//vMAtUyhaKarH3yxU4FcoJPDPf/6Tvn378sknnwDhil5z587lsssuO67ed4S//OUvTJ06Nfr+zTff5OKLL+btt99m0qRJDBkyhJ/97GccPHiQe+65h6FDhzJx4kTeeuutBjoXX3wx7733HgcPHpT3ByoUrQEV+JuFCvwKhQSmTp3K9OnTefjhh6mtrWXFihV8++23PPXUUycsyblr1y6KioqOs1jdu3cv7777Li+++CJLly5l7dq1zJgxg8GDB/Pmm29y3nnnsWjRIiorK6PfGThwICkpKXz22WfS/06F4qximC17xSgq8CsUkli0aBHBYJAHHniAp59+ml/+8pdkZWWdcN3NmzfjdDrp0qVLg+WBQIBFixbRp08fJk6cSL9+/ejduzc33ngjvXr1Yu7cufj9foqLixt8Lzs7m++++07a36ZQtApMo2WvGEUFfoVCEsnJyTz66KP885//ZOTIkVx99dUnXbesrIyUlJQTOhF269Yt+u9Iec8IkUpfxz4+SEtLa+ALrlAoFBFU4FcoJJKbm4vVaiUvL4/y8vKTrqdpGoZxfA/EarU2qPgFHPf+RASDQaxWa9M3WKFoS6hn/M1CBX6FQhJbtmzhhRde4KmnniI9PT1a7etEpKenU1FRgah6WhUVFaSnpwvRUihaLeoZf7NQgV+hkIDf7+f+++9n8uTJTJs2jccee4x169bx9ttvn3D9wYMHEwgE2LFjR4t/2zRNtm7dypAhQ1qspVC0alSPv1mowK9QSOAPf/gDhw4divbyBw8ezA033MBvfvMbDhw4cNz6PXr0oFevXnzxxRct/u38/Hxqa2uPmyGgUCgUoGr1KxSthr/+9a+8+eabvPHGGy3Seeyxx6iurubJJ58UtGUKRetkapeFLfr+P/cuFbQlbQvV41coWglXXnklR44c4Ztvvmm2RlVVFe+//z7z588XuGUKRStFDfU3CxX4FYpWgsPh4Le//S1PPfVUszWWL1/ODTfcQM+ePQVumULRSjGMlr1iFDXUr1AoFIo2ydSOt7fo+/88EJueFqrHr1AoFApFDGE72xugUCgUCkWzUAPWzUIFfoVCoVC0TWK4CE9LUIFfoVAoFG0SM4aNdlqCesavUCgUCkUMoXr8CoVCoWibqKH+ZqECv0KhUCjaJiq5r1mowK9QKBSKtkkMF+FpCSrwKxQKhaJtonr8zUIl9ykUCoVCEUOoHr9CoVAo2iSmGupvFirwKxQKhaJtoob6m4UK/AqFQqFom6jpfM1CBX6FQqFQtE1U5b5moZL7FAqFQqGIIVTgVygUCkWbxDTMFr1ORV5eHrNmzWLo0KHMnDmTTZs2nXC9l19+mcmTJzNy5EjuvPNOysrKGqVRWVnJHXfcwYgRI5g0aRKvv/66iF3SKFTgVygUCkXbxDRa9joJPp+P+fPnc/nll/PVV18xZ84cFixYgN/vb7Dee++9x7Jly3j66af5/PPPyc7O5rbbbmuUxoMPPojb7Wb9+vUsXbqUp556ioKCAnn7qh4q8CsUCoWiTSKrx79hwwYsFguzZ8/Gbrcza9YsUlNT+fjjjxust2bNGq666iqGDRuG3W7nzjvvZMeOHWzduvWUGrW1taxdu5aFCxcSFxfH4MGDmT59+hnr9avAr1AoFApFPQoLC8nKymqwrGfPnmzfvr3BMsMwcDqd0feapqFpGsXFxafUKC4uxmaz0bVr11Pqy0Jl9SsUCoWiTfJh6P+k6Ho8HlwuV4NlTqcTr9fbYNnkyZNZsmQJ559/Pr169eLFF1/E5/Ph8/lOqeHxeBrcMJxMXxYq8CsUCoVCUQ+Xy3VcEPZ6vbjd7gbLLr30UkpLS7n99tsJBALMmTOHrKwskpKSTqnRWH1ZqKF+hUKhUCjq0atXLwoLCxssKywsJDs7u8Gy0tJSpk2bxkcffcRnn33GNddcQ3FxMTk5OafU6N69O8FgkJKSklPqy0IFfoVCoVAo6jF27Fj8fj8rVqwgEAiwcuVKysrKGD9+fIP11q9fz7x58ygvL6empobHHnuMcePGkZGRcUqNhIQEpkyZwtNPP42u62zevJlVq1ZxySWXnJG/TzNNVexYoVAoFIr6FBQU8PDDD7N161a6d+/Oww8/zNChQ1m0aBEAjz76KKZp8rvf/Y633noLwzCYOHEiixYtIjEx8ZQaAEeOHOGhhx7i888/x+12s2DBAmbNmnVG/jYV+BUKhUKhiCHUUL9CoVAoFDGECvwKhUKhUMQQKvArFAqFQhFDqMCvUCgUCkUMoQK/QqFQKBQxhAr8CoVCoVDEECrwKxQKhUIRQ6jAr1AoFApFDKECv0KhUCgUMcT/B+/0tDALlbA2AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "field_rotator.clear_rotation()\n", "field_rotator.field.plane('z').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rotations about arbitrary angles\n", "\n", "We can rotate the field about an arbitrary angle. To keep this section simple we only show rotations about the z-axis that can be easily visualised on as single plane." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "field_rotator.rotate('from_euler', seq='z', angles=np.pi/6)\n", "field_rotator.field.plane('z').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The rotated field can be seen to have jagged edges caused by the discretisation of the mesh. The number of cells has also changed compared to the original field." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(15, 15, 6)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "field.mesh.n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(19, 19, 8)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "field_rotator.field.mesh.n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the number of cells did also change along the rotation axis. The reason for this is the normalisation of the cell volume of the rotated mesh.\n", "\n", "We can see that the rotation results in a larger region. We can again combine multiple rotations. The region is maximised if we rotate about 45° in total." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "field_rotator.rotate('from_euler', seq='z', angles=np.pi/12)\n", "field_rotator.field.plane('z').mpl()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "field_rotator.clear_rotation()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The rotation is achieved by linear interpolation of the rotated object from the old mesh into the new mesh. We can change the number of discretisation cells in the new mesh by passing `n` to the rotate function." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "field_rotator.rotate('from_euler', seq='z', angles=np.pi/6, n=(60, 60, 20))\n", "field_rotator.field.plane('z').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rotating a vector to point in a certain direction\n", "Sometimes it is convenient to specify a certain vector in the old and new coordinate system instead of specifying a rotation axis and an angle. This can be achieved with the method `align_vector`. Two vectors `initial` and `final` have to be specified and the rotation rotates the vector `inital` to the vector `final`. The cross product is kept fixed and hence defines the rotation axis.\n", "\n", "To give an example, we can rotate one of the corners to point in the z-direction. We start with removing all rotations." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "field_rotator.clear_rotation()\n", "field_rotator.field.plane('x').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We choose vector `initial=(5, 3, 1)` pointing to the point `pmax`" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(50, 30, 10)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "field.mesh.region.pmax" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want this vector to point along `final=(0, 0, 1)` direction after applying the rotation." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "field_rotator.rotate('align_vector', initial=(5, 3, 1), final=(0, 0, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualise this \"3d\" rotation using `k3d`." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "486950e5e11f4968a3a07b4f0189bf81", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "field_rotator.field.norm.k3d.nonzero()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using matplotlib we can plot one cut plane:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "field_rotator.field.plane('x').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As mentioned in the introduction, we can compute arbitrary quantities using the rotated field. As illustrative example we compute the integral along the new $x$ axis and plot the result. After computing the integral we can see the original rectangular shape of the field." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rfield = field_rotator.field\n", "(-rfield * df.dx).integral('x').plane('x').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see the smaller integral values near the boundaries that are related to a reduced number of cells in these regions. We can also see some additional stripe-like features in the inner area that are related to numerical inaccuracies.\n", "\n", "## Details of the rotation process\n", "\n", "The rotation of a `field` can be separated into three different processes:\n", "\n", "1. rotation of the `region`\n", "2. rotation of the `mesh`\n", "3. rotation of the `field` values\n", "\n", "We discuss these processes in greater detail in the following subsections.\n", "\n", "### 1. Rotation of the region\n", "\n", "The first step of the rotation procces is rotation of the region. The rotated initial region is in general not anymore aligned with the coordinate axes. We need a new aligned region fully enclosing the rotated initial region. Therefore, this new region must be larger than the unrotated inital region in order to fully enclose the rotated initial region. The required size is obtained by rotating the three vectors pointing along the edges of the old region in $x$, $y$, and $z$ direction. Then, the $x$, $y$, and $z$ components of these rotated vectors in the new coordinate system are summed up to obtain the new edge lengths.\n", "\n", "The rotation in two dimensions is shown in the following figure. The original field is show in red, the region size for different rotations (0°, 15°, 45°, 60°) in blue.\n", "\n", "![Rotation in 2d](figures/rotation_region.svg)\n", "\n", "In this example of a quadratic field the new region grows the most for a 45° rotation. The implementation of `FieldRotator` ensures that the new region is as small as possible by accumulating and combining all rotation operations and computing the rotated field always directly from the initial unrotated field. However, the norm of the original field is not taken into account, i.e. only the size of the old region is important not the actual area containing data.\n", "\n", "As an example, to make this clearer, we show the rotation of a field where non-zero values are inside a disk. In princible, this field would not need a larger region to be rotated. However, as only the region is taken into account, the new region is larger than theoretically needed.\n", "\n", "![Rotation of a disk (non-zero part of the field) do demonstrate limitations](figures/rotation_disk.svg)\n", "\n", "### 2. Rotation of the mesh\n", "\n", "The second step of the rotation process is the rotation of the mesh. Since we already have the new region, this is basically the rotation of a cell to determine the new cell size/number of cells. This can be either done automatically or manually.\n", "\n", "If the new number of cells is either known or certain values are needed the user can specify an additional argument `n` in the `rotate` method to specify the number of cells in $x$, $y$, and $z$ direction:\n", "```\n", "field_rotator.rotate(..., n=(, , ), ...)\n", "```\n", "\n", "By default `n=None` and the new cell size is determined automatically.\n", "\n", "1. A single cell of the old mesh is rotated similarly to how the region is rotated.\n", "2. The new cell is resized to have the same volume as the old cell (the aspect ratio of the new cell is fixed).\n", "3. The number of cells in the new region is determined from the new region and cell size. Generally, we obtain non-integer cell numbers as a consequence of the cell resizing.\n", "4. The obtained cell numbers are rounded to the nearest integer value. Therefore, the cell volume is only aproximately keep constant.\n", "\n", "\n", "### 3. Rotation of the field values\n", "\n", "The last part of the rotation process is the rotation of the `field` values. This consists of two parts:\n", "\n", "1. Rotation of the field values (for vector fields only)\n", "2. Interpolation of the values on the new mesh\n", "\n", "The first step is only required for vector fields. The field values, i.e. the vector in each cell in the old mesh is rotated. This is only supported for 3d vector fields (`field.dim==3`).\n", "\n", "The second step is the mapping of the (rotated) field components onto the new rotated mesh. This is done by taking the cell positions of the new mesh, rotating them back to the old mesh, and then linearly interpolating the (rotated) field values on the old mesh to determine the field values at the new cell positions." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "18005c83601241079b0876221f94f0b7": { "buffers": [ { "data": "sHJMAA==", "encoding": "base64", "path": [ "color_map", "data" ] }, { "data": "6ZibQgAAAAAAAAAAAAAAAAAAAACCNbtCAAAAAAAAAAAAAAAAAAAAAKik7EIAAAAAAAAAAAAAAAAAAAAAAACAPw==", "encoding": "base64", "path": [ "model_matrix", "data" ] }, { "data": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ", "encoding": "base64", "path": [ "voxels", "data" ] } ], "model_module": "k3d", "model_module_version": "2.11.0", "model_name": "ObjectModel", "state": { "_view_count": null, "_view_module": null, "_view_module_version": "", "_view_name": null, "colorLegend": false, "color_map": { "dtype": "uint32", "shape": [] }, "compression_level": 0, "id": 140202018590384, "model_matrix": { "dtype": "float32", "shape": [ 4, 4 ] }, "name": "Voxels #1", "opacity": 1, "outlines": false, "outlines_color": 0, "type": "Voxels", "visible": true, "voxels": { "dtype": "uint8", "shape": [ 24, 21, 19 ] }, "wireframe": false } }, "1f349da7ea3640a480160bdb8e23afa7": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "2d2216f870c64846941cef79855b8a95": { "model_module": "k3d", "model_module_version": "2.11.0", "model_name": "PlotModel", "state": { "_backend_version": "2.11.0", "_dom_classes": [], "_view_count": null, "antialias": 3, "auto_rendering": true, "axes": [ "x\\,\\text{ (m)}", "y\\,\\text{ (m)}", "z\\,\\text{ (m)}" ], "axes_helper": 1, "background_color": 16777215, "camera": [ 137.88821726208067, -210.43329184533198, 13.767524929944317, -2.2520653792192036, -0.22286788338215402, -0.24650333418590265, 0, 0, 1 ], "camera_animation": [], "camera_auto_fit": true, "camera_damping_factor": 0, "camera_fov": 60, "camera_mode": "trackball", "camera_no_pan": false, "camera_no_rotate": false, "camera_no_zoom": false, "camera_pan_speed": 0.3, "camera_rotate_speed": 1, "camera_zoom_speed": 1.2, "clipping_planes": [], "colorbar_object_id": -1, "colorbar_scientific": false, "fps": 25, "fps_meter": false, "grid": [ -1, -1, -1, 1, 1, 1 ], "grid_auto_fit": true, "grid_color": 15132390, "grid_visible": true, "height": 512, "label_color": 4473924, "layout": "IPY_MODEL_3d110b2f73ac4dc980b23def5600ba59", "lighting": 1.5, "manipulate_mode": "translate", "menu_visibility": true, "mode": "view", "name": null, "object_ids": [ 140202018590384 ], "rendering_steps": 1, "screenshot": "", "screenshot_scale": 2, "snapshot": "", "snapshot_type": "full", "time": 0, "voxel_paint_color": 0 } }, "3d110b2f73ac4dc980b23def5600ba59": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "486950e5e11f4968a3a07b4f0189bf81": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_1f349da7ea3640a480160bdb8e23afa7", "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "2d2216f870c64846941cef79855b8a95", "version_major": 2, "version_minor": 0 }, "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera_animation=[], camer…" }, "metadata": {}, "output_type": "display_data" } ] } } }, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }