diff --git a/docs/environment.yml b/docs/environment.yml index 2f7ca44..7e7a9f6 100644 --- a/docs/environment.yml +++ b/docs/environment.yml @@ -11,5 +11,4 @@ dependencies: - pip - python=3.11 - sphinx-book-theme - - nbsphinx - - sphinx-autoapi \ No newline at end of file + - myst-nb \ No newline at end of file diff --git a/docs/source/_templates/custom-base-template.rst b/docs/source/_templates/custom-base-template.rst new file mode 100644 index 0000000..e28830c --- /dev/null +++ b/docs/source/_templates/custom-base-template.rst @@ -0,0 +1,5 @@ +{{ name | escape | underline }} + +.. currentmodule:: {{ module }} + +.. auto{{ objtype }}:: {{ objname }} \ No newline at end of file diff --git a/docs/source/_templates/custom-class-template.rst b/docs/source/_templates/custom-class-template.rst index 16ebb2f..d92af0e 100644 --- a/docs/source/_templates/custom-class-template.rst +++ b/docs/source/_templates/custom-class-template.rst @@ -1,4 +1,4 @@ -{{ fullname | escape | underline}} +{{ name | escape | underline}} .. currentmodule:: {{ module }} diff --git a/docs/source/_templates/custom-module-template.rst b/docs/source/_templates/custom-module-template.rst index ef2c09a..d80187a 100644 --- a/docs/source/_templates/custom-module-template.rst +++ b/docs/source/_templates/custom-module-template.rst @@ -1,4 +1,4 @@ -{{ fullname | escape | underline}} +{{ name | escape | underline}} .. automodule:: {{ fullname }} @@ -20,6 +20,7 @@ .. autosummary:: :toctree: + :template: custom-base-template.rst {% for item in functions %} {{ item }} {%- endfor %} @@ -60,7 +61,7 @@ :template: custom-module-template.rst :recursive: {% for item in modules %} - {{ item }} + ~{{ item }} {%- endfor %} {% endif %} {% endblock %} \ No newline at end of file diff --git a/docs/source/conf.py b/docs/source/conf.py index 8ad4ef6..7793e78 100644 --- a/docs/source/conf.py +++ b/docs/source/conf.py @@ -33,8 +33,10 @@ extensions = [ "sphinx.ext.autodoc", "sphinx.ext.autosummary", - "nbsphinx" + "myst_nb" ] +myst_enable_extensions = ["dollarmath", "amsmath"] +nb_execution_mode = "off" autosummary_generate = True # https://stackoverflow.com/questions/2701998/automatically-document-all-modules-recursively-with-sphinx-autodoc/62613202#62613202 diff --git a/docs/source/index.rst b/docs/source/index.rst index 943cd05..7cf1341 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -18,6 +18,12 @@ The library also provides a set of methods for computing constants of motion and :align: right :width: 45% +.. note:: + + This project is under active development. + +.. _Installation: + Installation ------------ Install the latest version of kerrgeopy using pip @@ -26,11 +32,7 @@ Install the latest version of kerrgeopy using pip pip install kerrgeopy -See `Getting Started `_ for usage examples. - -.. note:: - - This project is under active development. The documentation is not yet complete. +See `Getting Started `_ for basic usage. See the `API Reference`_ below or the `Modules <_autosummary/kerrgeopy.html>`_ page for a complete list of classes and methods. .. toctree:: @@ -38,15 +40,34 @@ See `Getting Started `_ for usage examples. :caption: Tutorials notebooks/Tutorial + notebooks/Trajectory + notebooks/Orbital Properties + notebooks/Graphics + +.. _API Reference: + +API Reference +------------- + +.. toctree:: + :maxdepth: 1 + :caption: API Reference + :hidden: + + Full List of Modules .. autosummary:: :toctree: _autosummary :template: custom-module-template.rst - :caption: API Reference :recursive: - kerrgeopy - + ~kerrgeopy.bound_orbit.BoundOrbit + ~kerrgeopy.plunging_orbit.PlungingOrbit + ~kerrgeopy.orbit.Orbit + ~kerrgeopy.spacetime.KerrSpacetime + ~kerrgeopy.constants + ~kerrgeopy.frequencies + ~kerrgeopy.units Indices and tables ================== diff --git a/docs/source/notebooks/Graphics.ipynb b/docs/source/notebooks/Graphics.ipynb new file mode 100644 index 0000000..db8e641 --- /dev/null +++ b/docs/source/notebooks/Graphics.ipynb @@ -0,0 +1,192 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "688cc3ce", + "metadata": {}, + "source": [ + "# Graphics" + ] + }, + { + "cell_type": "markdown", + "id": "0d9dada1", + "metadata": {}, + "source": [ + "## Plots" + ] + }, + { + "cell_type": "markdown", + "id": "d714c093", + "metadata": {}, + "source": [ + "To plot a [`BoundOrbit`](bound_orbit.BoundOrbit), simply use the [`plot()`](bound_orbit.BoundOrbit.plot) method and pass in the starting and ending Mino time." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "7ae99533", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import kerrgeopy as kg\n", + "from math import pi, cos\n", + "\n", + "orbit = kg.BoundOrbit(0.998,3,0.6,cos(pi/4))\n", + "fig, ax = orbit.plot(0,5)" + ] + }, + { + "cell_type": "markdown", + "id": "727909db", + "metadata": {}, + "source": [ + "Use the `initial_phases` option to set the initial phases $(q_{t_0},q_{r_0},q_{\\theta_0},q_{\\phi_0})$ of the trajectory. For example, set $q_{r_0} = \\pi$ to start the orbit from $r_{\\text{max}}$." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "f3351c95", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = orbit.plot(0,5,initial_phases=(0,pi,0,0))" + ] + }, + { + "cell_type": "markdown", + "id": "473b0bdb", + "metadata": {}, + "source": [ + "Use the `elevation` and `azimuth` options to set the viewing angles as defined by [matplotlib](https://matplotlib.org/stable/api/toolkits/mplot3d/view_angles.html). For an equatorial orbit it is best to set the elevation angle to 90 degrees in order to view the orbit from above. Use the `grid` and `axes` options to toggle the visibility of the grid and axes and use the `thickness` option to adjust the thickness of the line." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "82cd9e82", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "orbit = kg.BoundOrbit(0.998,3,0.6,1)\n", + "fig, ax = orbit.plot(0,20,elevation=90, azimuth=0, grid=False, axes=False, thickness=0.01)" + ] + }, + { + "cell_type": "markdown", + "id": "470ec516", + "metadata": {}, + "source": [ + "## Animations" + ] + }, + { + "cell_type": "markdown", + "id": "100bca66", + "metadata": {}, + "source": [ + "To create an animation of a [`BoundOrbit`](bound_orbit.BoundOrbit) and save it as an mp4 file, use the [`animate()`](bound_orbit.BoundOrbit.animate) method and pass in the starting and ending Mino time. Note that this method requires ffmpeg to be installed and may take several minutes to run depending on the length of the animation." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "16563495", + "metadata": {}, + "outputs": [], + "source": [ + "orbit = kg.BoundOrbit(0.998,3,0.6,cos(pi/4))\n", + "orbit.animate(\"animation1.mp4\",0,10)" + ] + }, + { + "cell_type": "markdown", + "id": "72984d59", + "metadata": {}, + "source": [ + "\n", + "\n", + "All of the options available when plotting are also available within the [`animate()`](bound_orbit.BoundOrbit.animate) method. In addition, the `tail_length` option can be set to `\"short\"` or `\"none\"` to change the length of the orbital tail." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c497aa7d", + "metadata": {}, + "outputs": [], + "source": [ + "orbit.animate(\"animation2.mp4\", grid=False, axes=False, tail_length=\"short\")" + ] + }, + { + "cell_type": "markdown", + "id": "961f35ae", + "metadata": {}, + "source": [ + "" + ] + } + ], + "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": "3.10.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/docs/source/notebooks/Orbital Properties.ipynb b/docs/source/notebooks/Orbital Properties.ipynb new file mode 100644 index 0000000..4041745 --- /dev/null +++ b/docs/source/notebooks/Orbital Properties.ipynb @@ -0,0 +1,330 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "8b0aefcc", + "metadata": {}, + "source": [ + "# Orbital Properties\n", + "\n", + "## Background\n", + "\n", + "The symmetries of Kerr spacetime generate three constants of motion for any given orbit: \n", + "\n", + "$\\mathcal{E}$ - Energy\n", + "
\n", + "$\\mathcal{L}$ - Angular Momentum\n", + "
\n", + "$\\mathcal{Q}$ - Carter Constant\n", + "\n", + "Energy and angular momentum are generated by time translation symmetry and azimuthal symmetry respectively. The Carter constant is generated by a higher order symmetry of the Kerr metric which comes from a second order Killing tensor known as the Carter tensor. " + ] + }, + { + "cell_type": "markdown", + "id": "93ff5356", + "metadata": {}, + "source": [ + "## Constants of Motion\n", + "\n", + "These constants of motion can be computed for a [`BoundOrbit`](bound_orbit.BoundOrbit) using the [`constants_of_motion()`](bound_orbit.BoundOrbit.constants_of_motion) method. By default, the quantities returned by this method are given in geometrized units where $G=c=1$ and are scale invariant, meaning that they are normalized using the masses of the two bodies as follows:\n", + "\\begin{equation}\n", + "\\tilde{\\mathcal{E}} = \\frac{\\mathcal{E}}{\\mu}, \\quad \\tilde{\\mathcal{L}} = \\frac{\\mathcal{L}}{\\mu M}, \\quad \\tilde{\\mathcal{Q}} = \\frac{\\mathcal{Q}}{\\mu^2 M^2}\n", + "\\end{equation}\n", + "\n", + "Here, $M$ is the mass of the primary body and $\\mu$ is the mass of the secondary." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "a4b56ebb", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle E = 0.942 \\quad L = 2.028 \\quad Q = 4.160$" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import kerrgeopy as kg\n", + "from math import pi, cos\n", + "from IPython.display import display, Math\n", + "\n", + "orbit = kg.BoundOrbit(0.9,5,0.6,cos(pi/4))\n", + "E, L, Q = orbit.constants_of_motion()\n", + "\n", + "display(Math(fr\"E = {E:.3f} \\quad L = {L:.3f} \\quad Q = {Q:.3f}\"))" + ] + }, + { + "cell_type": "markdown", + "id": "3148ec97", + "metadata": {}, + "source": [ + "### Physical Units\n", + "\n", + "If $M$ and $\\mu$ are defined, then constants of motion can be computed in physical units by setting the `units` option to `\"mks\"` or `\"cgs\"`." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "7c3dfaa7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle E = 1.684e+48 \\text{ J} \n", + " \\quad L = 3.550e+79 \\text{ kg m}^2 \\text{s}^{-1} \n", + " \\quad Q = 1.274e+159 \\text{ kg}^2 \\text{m}^4 \\text{s}^{-2}$" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "orbit = kg.BoundOrbit(0.9,5,0.6,cos(pi/4), M=1e6,mu=10)\n", + "\n", + "E, L, Q = orbit.constants_of_motion(units=\"mks\")\n", + "\n", + "display(Math(fr\"\"\"E = {E:.3e} \\text{{ J}} \n", + " \\quad L = {L:.3e} \\text{{ kg m}}^2 \\text{{s}}^{{-1}} \n", + " \\quad Q = {Q:.3e} \\text{{ kg}}^2 \\text{{m}}^4 \\text{{s}}^{{-2}}\"\"\"))" + ] + }, + { + "cell_type": "markdown", + "id": "d00153ac", + "metadata": {}, + "source": [ + "### Utility Methods\n", + "\n", + "Kerrgeopy also provides a [`constants_of_motion()`](constants.constants_of_motion) utility method to compute the constants of motion directly from the orbital parameters $(a,p,e,x)$. The [`energy()`](constants.energy), [`angular_momentum()`](constants.angular_momentum) and [`carter_constant()`](constants.carter_constant) utility methods can be used to compute each of the constants individually." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "ff10d962", + "metadata": {}, + "outputs": [], + "source": [ + "E, L, Q = kg.constants_of_motion(0.9,5,0.6,cos(pi/4))" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "4356062f", + "metadata": {}, + "outputs": [], + "source": [ + "E = kg.energy(0.9,5,0.6,cos(pi/4))\n", + "L = kg.angular_momentum(0.9,5,0.6,cos(pi/4))\n", + "Q = kg.carter_constant(0.9,5,0.6,cos(pi/4))" + ] + }, + { + "cell_type": "markdown", + "id": "d4663ebb", + "metadata": {}, + "source": [ + "## Frequencies of Motion\n", + "\n", + "To compute the frequencies of motion in Mino time for a [`BoundOrbit`](bound_orbit.BoundOrbit), use the [`mino_frequencies()`](bound_orbit.BoundOrbit.mino_frequencies) method. This method returns the frequencies of motion for each of the three spatial coordinates $(\\Upsilon_r,\\Upsilon_\\theta,\\Upsilon_\\phi)$ along with $\\Gamma$, which measures the average rate at which observer time accumulates in Mino time. The frequencies of motion can be computed in observer time by simply dividing each of the Mino frequencies by $\\Gamma$, or by using the [`observer_frequencies()`](bound_orbit.BoundOrbit.observer_frequencies) method. By default, both methods return all quantities in dimensionless units where $G=c=M=1$." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "a60ab129", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\Upsilon_r = 1.559 \\quad \n", + " \\Upsilon_\\theta = 2.880 \\quad \n", + " \\Upsilon_\\phi = 3.369 \\quad \n", + " \\Gamma = 56.927$" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/latex": [ + "$\\displaystyle \\Omega_r = 0.027 \\quad\n", + " \\Omega_\\theta = 0.051 \\quad\n", + " \\Omega_\\phi = 0.059$" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "orbit = kg.BoundOrbit(0.9,5,0.6,cos(pi/4))\n", + "\n", + "upsilon_r, upsilon_theta, upsilon_phi, gamma = orbit.mino_frequencies()\n", + "omega_r, omega_theta, omega_phi = orbit.observer_frequencies()\n", + "\n", + "\n", + "display(Math(fr\"\"\"\\Upsilon_r = {upsilon_r:.3f} \\quad \n", + " \\Upsilon_\\theta = {upsilon_theta:.3f} \\quad \n", + " \\Upsilon_\\phi = {upsilon_phi:.3f} \\quad \n", + " \\Gamma = {gamma:.3f}\"\"\"))\n", + "\n", + "display(Math(fr\"\"\"\\Omega_r = {omega_r:.3f} \\quad\n", + " \\Omega_\\theta = {omega_theta:.3f} \\quad\n", + " \\Omega_\\phi = {omega_phi:.3f}\"\"\"))" + ] + }, + { + "cell_type": "markdown", + "id": "4427d121", + "metadata": {}, + "source": [ + "### Physical Units\n", + "\n", + "As with constants of motion, frequencies can be computed in physical units if `M` and `mu` are specified. Note that Mino frequencies have units of seconds, while $\\Gamma$ has units of $\\text{s}^2$. Observer frequencies can be given in units of Hz or mHz." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "b79de692", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\Upsilon_r = 7.679 \\text{ s} \\quad \n", + " \\Upsilon_\\theta = 14.188 \\text{ s} \\quad \n", + " \\Upsilon_\\phi = 16.594 \\text{ s} \\quad \n", + " \\Gamma = 1381.074 \\text{ s}^2$" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/latex": [ + "$\\displaystyle \\Omega_r = 5.560 \\text{ mHz} \\quad\n", + " \\Omega_\\theta = 10.273 \\text{ mHz}\\quad\n", + " \\Omega_\\phi = 12.015 \\text{ mHz}$" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "orbit = kg.BoundOrbit(0.9,5,0.6,cos(pi/4), M=1e6,mu=10)\n", + "\n", + "upsilon_r, upsilon_theta, upsilon_phi, gamma = orbit.mino_frequencies(units=\"mks\")\n", + "omega_r, omega_theta, omega_phi = orbit.observer_frequencies(units=\"mHz\")\n", + "\n", + "display(Math(fr\"\"\"\\Upsilon_r = {upsilon_r:.3f} \\text{{ s}} \\quad \n", + " \\Upsilon_\\theta = {upsilon_theta:.3f} \\text{{ s}} \\quad \n", + " \\Upsilon_\\phi = {upsilon_phi:.3f} \\text{{ s}} \\quad \n", + " \\Gamma = {gamma:.3f} \\text{{ s}}^2\"\"\"))\n", + "\n", + "display(Math(fr\"\"\"\\Omega_r = {omega_r:.3f} \\text{{ mHz}} \\quad\n", + " \\Omega_\\theta = {omega_theta:.3f} \\text{{ mHz}}\\quad\n", + " \\Omega_\\phi = {omega_phi:.3f} \\text{{ mHz}}\"\"\"))" + ] + }, + { + "cell_type": "markdown", + "id": "d69c133a", + "metadata": {}, + "source": [ + "### Utility Methods\n", + "\n", + "There are also utility methods for computing frequencies of motion directly from the orbital parameters $(a,p,e,x)$. Use the [`mino_frequencies()`](frequencies.mino_frequencies) and [`observer_frequencies()`](frequencies.observer_frequencies) methods to compute the frequencies as a tuple, or use the [`r_frequency()`](frequencies.r_frequency), [`theta_frequency()`](frequencies.theta_frequency), [`phi_frequency()`](frequencies.phi_frequency), and [`gamma()`](frequencies.gamma) methods to compute each of the Mino frequencies individually." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "2c53e56b", + "metadata": {}, + "outputs": [], + "source": [ + "upsilon_r, upsilon_theta, upsilon_phi, gamma = kg.mino_frequencies(0.9,5,0.6,cos(pi/4))\n", + "omega_r, omega_theta, omega_phi = kg.observer_frequencies(0.9,5,0.6,cos(pi/4))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "31f47fc2", + "metadata": {}, + "outputs": [], + "source": [ + "upsilon_r = kg.r_frequency(0.9,5,0.6,cos(pi/4))\n", + "upsilon_theta = kg.theta_frequency(0.9,5,0.6,cos(pi/4))\n", + "upsilon_phi = kg.phi_frequency(0.9,5,0.6,cos(pi/4))\n", + "gamma = kg.gamma(0.9,5,0.6,cos(pi/4))" + ] + }, + { + "cell_type": "markdown", + "id": "cfa7b475", + "metadata": {}, + "source": [ + "## " + ] + } + ], + "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": "3.10.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/docs/source/notebooks/Trajectory.ipynb b/docs/source/notebooks/Trajectory.ipynb new file mode 100644 index 0000000..1c004ef --- /dev/null +++ b/docs/source/notebooks/Trajectory.ipynb @@ -0,0 +1,566 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "22885d27", + "metadata": {}, + "source": [ + "# Trajectory" + ] + }, + { + "cell_type": "markdown", + "id": "b0e8b2d2", + "metadata": {}, + "source": [ + "Trajectories are computed by solving the geodesic equation in Kerr spacetime, which in Boyer-Lindquist coordinates can be written as the following system of differential equations.\n", + "\\begin{equation}\n", + "\\begin{aligned} & \\Sigma^2\\left(\\frac{\\mathrm{d} r}{\\mathrm{~d} \\tau}\\right)^2=\\left(\\mathcal{E}\\left(r^2+a^2\\right)-a \\mathcal{L}\\right)^2-\\Delta\\left(r^2+(a \\mathcal{E}-\\mathcal{L})^2+Q\\right)\\\\ & \\Sigma^2\\left(\\frac{\\mathrm{d} z}{\\mathrm{d} \\tau}\\right)^2=Q-z^2\\left(a^2\\left(1-\\mathcal{E}^2\\right)\\left(1-z^2\\right)+\\mathcal{L}^2+Q\\right) \\\\ & \\Sigma \\frac{\\mathrm{d} t}{\\mathrm{~d} \\tau}=\\frac{\\left(r^2+a^2\\right)}{\\Delta}\\left(\\mathcal{E}\\left(r^2+a^2\\right)-a \\mathcal{L}\\right)-a^2 \\mathcal{E}\\left(1-z^2\\right)+a \\mathcal{L}\\\\ & \\Sigma \\frac{\\mathrm{d} \\phi}{\\mathrm{d} \\tau}=\\frac{a}{\\Delta}\\left(\\mathcal{E}\\left(r^2+a^2\\right)-a \\mathcal{L}\\right)+\\frac{\\mathcal{L}}{1-z^2}-a \\mathcal{E} \n", + "\\end{aligned}\n", + "\\end{equation}\n", + "Here, $\\Delta=r^2-2 M r+a^2$, $\\Sigma=r^2+a^2 \\cos ^2 \\theta$ and $z = \\cos{\\theta}$. $\\mathcal{E}$, $\\mathcal{L}$, and $\\mathcal{Q}$ represent the energy, angular momentum, and Carter constant respectively. In order to solve this system analytically, the trajectory must be reparametrized in terms of a new parameter $\\lambda$ which is defined such that $\\frac{d\\tau}{d\\lambda} = \\Sigma$. This new parameter is known as Mino time.\n", + "\n", + "## Bound Orbits\n", + "\n", + "Taking $M$ to represent the mass of the primary body and working in dimensionless units where $G=c=M=1$, bound orbits are parametrized using the following variables:\n", + "\n", + "$a$ - spin of the primary body\n", + "
\n", + "$p$ - orbital semilatus rectum ($\\frac{2r_{\\text{min}}r_{\\text{max}}}{r_{\\text{min}}+r_{\\text{max}}}$)\n", + "
\n", + "$e$ - orbital eccentricity ($\\frac{r_{\\text{max}}-r_{\\text{min}}}{r_{\\text{max}}+r_{\\text{min}}}$)\n", + "
\n", + "$x$ - cosine of the orbital inclination ($\\cos{\\theta_{\\text{inc}}}$)\n", + "
\n", + "\n", + "Note that $a$ and $x$ are restricted to values between -1 and 1, while $e$ is restricted to values between 0 and 1. Retrograde orbits are represented using a negative value for $a$ or for $x$. Polar orbits, marginally bound orbits, and orbits around an extreme Kerr black hole are not supported. \n", + "\n", + "### Stability\n" + ] + }, + { + "cell_type": "markdown", + "id": "cc6dc455", + "metadata": {}, + "source": [ + "Note that not all combinations of orbital parameters define a stable orbit. The boundary in parameter space between stable and unstable orbits is known as the separatrix. It is most convenient to think of the separatrix as defining a minimum stable value of $p$ for a given set of parameters $(a,e,x)$. Use the [`separatrix()`](constants.separatrix) method to compute this minimum value." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "2390a8b5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4.462323556641868" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import kerrgeopy as kg\n", + "from math import pi, cos\n", + "\n", + "kg.separatrix(0.9,0.6,cos(pi/3))" + ] + }, + { + "cell_type": "markdown", + "id": "f8810bde", + "metadata": {}, + "source": [ + "Use the [`is_stable()`](constants.is_stable) method to test if an orbit is stable. Running `kg.is_stable(a,p,e,x)` is equivalent to checking if `p >= kg.separatrix(a,e,x)`" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "269e764b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kg.is_stable(0.9,5,0.6,cos(pi/3))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "3772eaf2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kg.is_stable(0.9,4,0.6,cos(pi/3))" + ] + }, + { + "cell_type": "markdown", + "id": "6f23b585", + "metadata": {}, + "source": [ + "### Trajectory\n", + "\n", + "To compute a trajectory, first construct a [`BoundOrbit`](bound_orbit.BoundOrbit) by specifying the four orbital parameters described above. Then use the [`trajectory()`](bound_orbit.BoundOrbit.trajectory) method to compute the time, radial, polar and azimuthal components of the trajectory as a function of Mino time. Use the `initial_phases` option to set the initial phases $(q_{t_0},q_{r_0},q_{\\theta_0},q_{\\phi_0})$ of the orbit. Phases are defined as follows:\n", + "\n", + "\\begin{equation}\n", + "\\begin{aligned}\n", + "q_t &= \\Gamma \\lambda\\\\\n", + "q_r &= \\Upsilon_r \\lambda \\\\\n", + "q_\\theta &= \\Upsilon_\\theta \\lambda\\\\\n", + "q_\\phi &= \\Upsilon_\\phi \\lambda\n", + "\\end{aligned}\n", + "\\end{equation}\n", + "\n", + "Here, $\\Gamma$ is the average rate at which Mino time accumulates in observer time, and $\\Upsilon_r$, $\\Upsilon_\\theta$ and $\\Upsilon_\\phi$ are the orbital frequencies of motion in $r$, $\\theta$ and $\\phi$ respectively. By default, all phases are set to zero and the trajectory is computed assuming the initial conditions $r_0 = r_{\\text{min}}$ and $\\theta_0 = \\theta_{\\text{min}}$. In order to start the orbit from $r_{\\text{max}}$ instead, set $q_{r_0} = \\pi$." + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "3e870d54", + "metadata": {}, + "outputs": [], + "source": [ + "orbit = kg.BoundOrbit(0.9,5,0.6,cos(pi/3))\n", + "\n", + "t, r, theta, phi = orbit.trajectory(initial_phases=(0,pi,0,0))" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "220582c2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, '$\\\\phi(\\\\lambda)$')" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "time = np.linspace(0,20,200)\n", + "\n", + "plt.figure(figsize=(20,4))\n", + "\n", + "plt.subplot(1,4,1)\n", + "plt.plot(time, t(time))\n", + "plt.xlabel(\"$\\lambda$\")\n", + "plt.ylabel(r\"$t(\\lambda)$\")\n", + "\n", + "plt.subplot(1,4,2)\n", + "plt.plot(time, r(time))\n", + "plt.xlabel(\"$\\lambda$\")\n", + "plt.ylabel(\"$r(\\lambda)$\")\n", + "\n", + "plt.subplot(1,4,3)\n", + "plt.plot(time, theta(time))\n", + "plt.xlabel(\"$\\lambda$\")\n", + "plt.ylabel(r\"$\\theta(\\lambda)$\")\n", + "\n", + "plt.subplot(1,4,4)\n", + "plt.plot(time, phi(time))\n", + "plt.xlabel(\"$\\lambda$\")\n", + "plt.ylabel(r\"$\\phi(\\lambda)$\")" + ] + }, + { + "cell_type": "markdown", + "id": "a8c89cf6", + "metadata": {}, + "source": [ + "### Physical Units\n", + "\n", + " If the masses of the two bodies are specified, the radial and time components of the trajectory can also be computed in physical units. `M` and `mu` define the mass of the primary and secondary body respectively in solar masses. Use the `distance_units` and `time_units` options to set units for the radial and time components. See the [`trajectory()`](bound_orbit.BoundOrbit.trajectory) documentation page for a full list of available units." + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "55c49ead", + "metadata": {}, + "outputs": [], + "source": [ + "orbit = kg.BoundOrbit(0.9,5,0.6,cos(pi/3), M=1e6, mu=10)\n", + "\n", + "t, r, theta, phi = orbit.trajectory(distance_units='au', time_units='mks')" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "3c128d2c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, '$\\\\phi(\\\\lambda)$')" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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W0LaL3fbcDAeaZobPr1oKkaxF2YguYTEq3CkW0GTdvkCIO/ZYIVJLsZ/tkOnWIgutGodF2CNnjDuZxefzYenSpbj99tthMplw+PBhlJaWYvTo0dwyDocDw4cPx/r163UcKUEQRHKxu7gc/1x3CADwxMQecNq1yR+sS1IIMgDQo0ePWu2Xu3bt4p4T0no5Y8YMrFixAh9++CF++OEHVFVVYcKECQgGg9wykydPxvbt27Fy5UqsXLkS27dvx5QpUzTdToIgCLX44eAZjJr/PZ78fC/K3H50bJaBf0y+EN88MAKTB7XRLOg2mfD5fNiyZUutHycAMHr0aEV/nLjdbvj9fuTmxg4z9nq9qKioqPXXUGDtyhpn2JGXHS6MkSATG/7M7ra54Y4PypCJDSvItGuSwVnUaDUTPRVhi+T5OU40rhHgz1GHDKECJ7kukbAoEGKAKo2Kw+w5oFG6nctLKtWyS6SC7RJJ42xfteoSYbc9O82KVo3Dor62lmXhcwy/Q0YrMSoUYlBRs/3dC8KdWcXnPZpZV7EdIk0z7bqcX9nPvk1uOnc91KpLht1Oi9nEWfVpmVHGdqW1bOTkuouNPJnlP//5D86fP4/bbrsNAFBaWgoAyMvLq7VcXl4e91wsGvJvFIIgCD6nK72Y+u7PCIQYjOmRh5Hd8xK/SCWsuq25DlartVZXDEvd1ksAeOedd5CXl4dly5bhrrvuQnl5Od5880289957GDlyJABg6dKlaN26Nb7++muMGTMG+/btw8qVK7Fx40YMGjQIQDgDYMiQIdi/fz+6dOmi3cYSBEEoSEW1H3O/2IcPNxcBCP9Avn9UZ1zfrxWsGgeTJRtnzpxBMBiU9ONEDI888ghatmzJXYOiMW/ePDzxxBOKrTOZYH+kN+EJMmRZFhu2u6OR04Y21CGTELbjo1VjJ87W+NeXazgjOdVg91d+dhpy00mQIdSDFd7bNklHms2Man8I5W4/stPUz6Ur551H83PCs+X16JDJyw6LEsfLPJqJElx3ULoNBY1quoM0FGT4HTLmGl/Ecy5tzslVvgDYJqyu+VkwmYBqfwhnXT40zXSovv4zvG3n7Np0EGRynDa0znWivNiPonNurlNKTdj8mNwMO7evteyMqqiOHPdtm6Rj3UHgqIHtXt98802MGzcOBQUFtR6va0fNMExCi+qG/BuFIAiC5VRFNW57ezNKyqvRsVkGnr8+uj29ViRNpe7gwYMoKChA+/btceONN+LQoXD7kJDWyy1btsDv99dapqCgAIWFhdwyGzZsQE5ODifGAMDgwYORk5MTd5Y0zRYgCCKZ2XzkHMa8+D0nxtw6pC2+e3AEbhrYxvBiDB8pP06E8txzz+GDDz7AJ598grS0tJjLzZo1C+Xl5dxfUVGRIutPBthiby5PkKn0BuDyajNTOtUo51ntFNQUEtkZx0R9KjyRjiJ2Jjp1yETHHwzhdE3RLC/HwVlUUoaMdsybNw8DBgxAVlYWmjdvjquvvhr79++P+5o1a9bUs282mUz45ZdfNBq1eLyBIHfuz89OQyOntvZNfMuyFjXXnVINOzPZSQd52Wm8YHtttp07JzrtkfycimoEgiFN1n+qMtIdpHWHDHv9dFjNyEqzIS8r/NlrlSPDnl+bZToigreWooQnfF+VnWZDq0bhCR3FGolxrCDTNNPBdQeVaSTEAfzOMBuaZIQFIS3t4pKJo0eP4uuvv8Yf//hH7jF2cnPdCWenTp2qNzGtLg35NwpBEAQA/HToLK55dT32llSgSYYdi2/pr8kEongkRbVu0KBBePfdd/HVV19h8eLFKC0txdChQ3H27FlBrZelpaWw2+1o3Lhx3GWaN29eb93NmzePO0t63rx5XOZMTk4OWrduLWtbCYIglGLZT8dw0xsbUVJejXZN0vGvu4bgiasKkeFImuZH3WnatCksFoukHydCeOGFFzB37lysWrUKvXr1irusw+FAdnZ2rb+GwlmeIJPpsCKjxofVaGGrQuFblmU7w9/Xan8IvoA2xbRUo6I6UoBiLVqMWoRJxOlKLxgmnOfUNMPBs9Sh/aUVa9euxd13342NGzdi9erVCAQCGD16NFyuxDO59+/fX8vCuVOnThqMWBqsIGG3mtEo3aZ5vhOXxZUeyZDRMkeF7Q5qnuVAIy7YXqttD68nx2lDs0wHbBYTQgxwUqNr7ulaXSLaZsjwO0QAoEUjbe3q2A6Zplk8UUKj65EvEILHH7Zjz3Ha0DhD2wkKZ3l2bU1qtv2sS7v7PFaIzHbakF3z+VdWG3Piz9tvv43mzZtj/Pjx3GPt27dHfn4+Vq9ezT3m8/mwdu1aDB06NO77NeTfKARBGJtytx+PLN+JG97YiOLzHnRomoEV0y9Ch2aZeg8tOSzLxo0bx/1/z549MWTIEHTs2BHvvPMOBg8eDEDa7Oa6y0RbPtH7zJo1CzNnzuT+XVFRQaIMQRC6wjAMXvn2V/x99QEAwPheLfDctb1IiImC3W5Hv379sHr1alxzzTXc46tXr8ZVV10l672ff/55PP300/jqq6/Qv39/uUNNac7V/CBnf6DnZafh0BkXTlZUcz7jRASuoJQeFrBYKqv9aKKB5UoqEQiGUFXTaZXttFGGTALYDoG87DSYzSbk1hTszmlYNDM6K1eurPVvtnC2ZcsWXHLJJXFf27x5czRq1EjF0SnHyYqIZZfJZOKFu2ubo9LIGcmQOVPlhS8Qgt2q7pzDan+QE4qbZ6dxooRWQjG/y9JsNqF5VhqKz3twsqIaLWs6ZtTkFE+QcdVkBmn1uVfUEWQa1fy3QqPC/GmuS8TOnV+16kBkj3mTCchKs3Izeyurtdn30Tpkqv0heHxBTQKR2c84x2lDdpq15jHj3QuEQiG8/fbbuPXWW2G1Ru4hTSYTZsyYgblz56JTp07o1KkT5s6di/T0dEyePFnHERMEQWgPwzD4bGcJnvxsL3f9umlgGzwyrit3D6E3SVm9y8jIQM+ePXHw4EFcffXVAMIdLi1atOCW4c9uzs/Ph8/nQ1lZWa0umVOnTnGzAfLz83Hy5Ml66zp9+nTcWdIOhwMOBxVHCIJIHvhizL2Xd8L9IzspZr/VEJk5cyamTJmC/v37Y8iQIXjjjTdw7NgxTJs2DUBYeC8uLsa7777LvWb79u0AgKqqKpw+fRrbt2+H3W5H9+7dAYRtyh577DEsW7YM7dq14zpwMjMzkZmp/2wLrYlYloWvl82zHZwgQ9TnPFdItMFqMSPDboHLF0RldYAEmTpU8WzvstKs3Ex0EmSic7I8UiQHIt/Jc9RRpBvl5eUAgNzc3ITL9u3bF9XV1ejevTseffRRXHrppVGX83q98HojIpselsqs+JdfYxfGWpaVa2xd1SjdhtwMOyxmE4IhBudcPq5jRi3Y7iCH1Yxs3nlJq+6g8hrbKtbCMaumOK1Vt8BpzrLMwZ2LNbMsqyPIZNWIEhUaXRPYok4zfmeURoIMKz5kOqwwm03c587amKnNGZ4YlWG3wG4xwxcM4Zzbh5Z2dYVAhmFqWZaxHTJafe7JxNdff41jx47h9ttvr/fcww8/DI/Hg+nTp6OsrAyDBg3CqlWrkJWlfsYQQRBEslB0zo3H/rsba/afBgBc0DwT8yb1xIB2ie/FtSQpLMvq4vV6sW/fPrRo0UJQ62W/fv1gs9lqLVNSUoLdu3dzywwZMgTl5eXYtGkTt8xPP/2E8vLyhC2cBEEQycK/NhdxYsyj47th5qjOJMYk4IYbbsCCBQvw5JNPok+fPvj+++/x5Zdfom3btgDC14tjx47Vek3fvn3Rt29fbNmyBcuWLUPfvn1xxRVXcM+/+uqr8Pl8uO6669CiRQvu74UXXtB025IF1sYiNzPSIQNEilZEbdiCZaP0OgUlA870TARbaHLaLLBZzNQhkwDWPpANXKYOGX1hGAYzZ87EsGHDUFhYGHO5Fi1a4I033sDy5cvxySefoEuXLrj88svx/fffR10+GSyVI/ZF4WNN6xwVVvxolG6DyWTiiRLqr5/N/MrLTgt3Bzm17Q7iW5YB0LRTwhsIcuffsCihT2dURJDRVow6Uxk57tkMmUpvAH4N8nvqbjtn2+XV1rKsSWa4K47NKDtXpb4g5fYFEQwxAIBspzUiRhnQsmz06NFgGAadO3eu95zJZMKcOXNQUlKC6upqrF27Nu61hyAIoiHBMAw+3HQMo1/8Hmv2n4bdYsbMUZ3xxb3Dkk6MAZKkQ+bBBx/ElVdeiTZt2uDUqVN4+umnUVFRgVtvvVVQ62VOTg7uuOMOPPDAA2jSpAlyc3Px4IMPomfPnhg5ciQAoFu3bhg7diymTp2K119/HQBw5513YsKECejSpYtu204QBCGUXcfLMfs/uwAA00d0xB8v7qDziFKH6dOnY/r06VGfW7JkSb3HGIaJ+35HjhxRYFQNB7ZDhrUsY8NWz1KQeFTO86x2gHBxobTCuF7o8WBFKjZrhy18VtUUwGyWpJxbpBtsRxEr8rGB25Qhow9/+tOfsHPnTvzwww9xl+vSpUut3yNDhgxBUVERXnjhhag2Z8lgqcwW/9nCaA6XIaORKOGO5Emw4zjv9mtSoGWvbU1qJiGwWR76dYloJ0qw3TH2GoGcPcfo3SGjWXcQr0Mm22mD2QSEmHCGTvMsdTuzYn3uWnXInOZZlgFA4ww7SiuqcU6Dz57ddpvFBKfNwomQRuyQIQiCIOoTCIbwyCe78O8txwEAA9vnYt6knuiYBFkxsUgKQeb48eO46aabcObMGTRr1gyDBw/Gxo0budnLQlovX3zxRVitVvzud7+Dx+PB5ZdfjiVLlsBiifiZvv/++7j33nsxevRoAMDEiRPxyiuvaLuxBEEQEqjyBnDPB1vhDzIY0yMPD40hIZlIHiKWZeHCTGZNkaBKo1mbqYQ3EITbVxPKW7dDhgoL9ajgWZQAkeIr+xxZvNWmbpGcFUe1stQhItxzzz349NNP8f3336NVq1aiXz948GAsXbo06nPJYKlcGUP806xDhrUsY4vTDhsAjyZdIlXVtbe9kcbbXl532zXsDiqrEXdzM+wwmUzc517m9gvKeJVLuae2EMeK9Vp0mPqDIZS5Ix0yFrMJOU4bytx+lLn8qgsy9a6HGmfIRDpkwp+5lhk63OSMtHBHHCtK0UQWgiAIIhhicP+/duCzHSdgMZvw0JguuPPiDjCbk9tJJikEmQ8//DDu82zr5Zw5c2Iuk5aWhoULF2LhwoUxl8nNzY35w4YgCCKZeeGr/Thy1o2CnDQ8e20vsikjkoqzdTpksmqC6qvoh3I92GKS2RTZT9kaW66kEuxsd7b4ZjGbkOWwotIbQDkJMvVgv3OZNcdWY86yzKdJsZQId1jec889WLFiBdasWYP27dtLep9t27bVys9MNio5UaJ291q5RjkqbHGaFUMyNTyPcsKno/a2aybI6NglwtpjcZ97zcSCYIhBRXVA9aDc2Nuu/r4v9/jBNlCzQlTjDHtYkNGgS6QiVn6OVnZtbHdQZu2MMi26odkuoLo2fR5/EL5ACHYrdcsSBEEYlXlf7sNnO07AZjFh0c39MLJ77Jz4ZCIpBBmCIAgiNvtKKvDuhiMAgOeu680VHwgiGfAHQ1yBhO2QyeI6ZEhgqAs7sznHaeNm7XDhtJQhU4/IrNjILWtOug2V3oBm1kipRKRrIby/2O+kLxiCyxfkhBpCPe6++24sW7YM//3vf5GVlYXS0lIAYYtlpzMcfD1r1iwUFxfj3XffBQAsWLAA7dq1Q48ePeDz+bB06VIsX74cy5cv1207ElFZR/zTMkvEHwxxx3ojrkCrnSBTVed7FukS0UaMOq+jZRkn+tasM81mgdNmgccfxHm3T3NBRtPPvWYdGXYLLDXX79x0Ow7BpUmXSP0MGe06o4CI4Ni45rqSm65dhwy77Vk1257JuyeorKbJGQRBEEZl/W9n8M8fDgMAFtzQN2XEGACgqQQEQRBJDMMwmPPpHoQYYFxhPoZ1aqr3kAiiFuwPcZNJn5nKqcb5OrO6ARg6nDYRFXXsaYBIMaqcBJl6VNYplqbbrUizhW/3ybZMGxYtWoTy8nKMGDECLVq04P4++ugjbpmSkhIcO3aM+7fP58ODDz6IXr164eKLL8YPP/yAL774ApMmTdJjEwRRVV3bPinHqV2WCN/eMVuHTom6YhQryLh9QXgDQdXXzxXm69pe6rDtQET41UKMq2dZpmF3ECvE8cUAVpzQIkcl0jEaXn/E7jSQMPtQLt5AEL5gqGa9bAemhtvuqT05w2I2cccg3TsRBEEYkypvAA99vBMAMHlQG4zvlbyd5dGgaXIEQRBJzPrfzuKnw+fgsJoxe3w3vYdDEPVgf4g3TrdzM0bZH8nUIVOfukHUACicNg5cASotsr/YmfjlGtkDpRJ1LcuA8AzuE+XVOOvyoXVuul5DMwxCCqNLliyp9e+HH34YDz/8sEojUod6lmXp2gmlrLCdlWblrjtadmZW1inMZ6VZuXD3crcfzbMt8V4uC4ZhYoa7aylK1D0nF5/36GTbpV2GTGWd7CAAaJyunV0dv8MWiIgTvmAI3kAIaTb1jju+BW2Gnc0oqxFkqrTLkMmpde9kRZU3QPdOBEEQBuWlrw+g+LwHrXOdmH1F6tXKqEOGIAgiiXnl218BADcOaI1WjamQRiQfrK8331JKy+JQqsHOHm/EKypo6f+falTwCq8s1CETGzbfgV8s5WYxu7y6jIlomNTtxmrMC7ZXe7Z+OddpyD+PapkhU7swbzZHQsbV7hKp9ofgC4Q7FSLWVdp1B3FdIjzRN/LZa2/bpeX1M+q2c+dX7bc9w24FGwumtiDFbjvfro3t9NWiQ6ZuZxT//+neiSAIwnjsK6nAWz8eAQA8eVUhMlLQlpkEGYIgiCRly9EybDh0FlazCXcO76j3cAgiKi72RzrvJijTEf6RTB0y9YlWSGTtRyhDpj5chkwty7JI4ZeoTd18ByBSvGPFU4JQgkiOSvj4Ys9pgRADl09d2y62U6CRk2/9qJ1tF2vXlhVFlFC7S4S9hvAtm7QUo9j9yz/HcPlBLu0sy+p3B6kvBFZ5608Q4D53LYLt61wPzWYTdwyqfX6vK8ACkf3g0uBeLzL5J0p3Md07EQRBGAq3L4D7P9qOYIjBuMJ8XNqlud5DkgQJMgRBEEnKWzXhZNf0bYmWjZw6j4YgohNtxihnHUOzFuvBCTJRO2SoqFCXyiiWZdQhE5to38cMshAkVIAtgmbxwt0dVm3yis57wu+f49S7Q4YnfGpkXcXfdlNNe4QewfZRRQmVxSiGYTgby7rdQf4gg2p/SNX1R7OE5I47Dc6v0bpEtLp/iHZt0dKetq4QB/Ams9C9AEEQhGEIhRg89PFO/FJaiaaZDsyZ2EPvIUmGBBmCIIgk5HSlF1/tKQUA/OGi9jqPhiBi44r2I72Wr7n6AcepBFusy0mPzOxmi2nUwVAfLsjXWX82NluYJCJURCmWst9NLWYxE8YgFGIiHTKO+t9NtcXSyHk0Upxlj3NNbbuiiBJq23bVzREBtBX1403CUFsQqvIGEAyFu2Aitl0W1Dhoqb79FVEEGS3Pr9FFCbZLROV9H23bteyQqa5/L6BlVxxBEAShPy5vAHct3YIvdpXAZjHhtd9fiLzsNL2HJRkSZAiCIJKQ5VuPIxBi0Lt1I3QvyNZ7OAQRk6oolmVs4CtAXTJ1OR+vQ8ZLRYW6VMTpkKFZsbXxBoJctkSWI7K/MhzhoGcSZAilcPuDYN2h+AHnrIWYVrZdjZz17Yv0yJAJ/782okS0ojx/3arbdkUTfTUqzLPbbreYkWYLlzFMpoh1m+qiRBQhTktBpiLuZ69Rh0xa/Xs9Tazy2MkZtSzLKK+QIAjCKKzZfwpXvLwOq/eehN1qxos39EH/drl6D0sWqZd6QxAE0cAJhRh8uOkYAGDywNY6j4Yg4hNNkLGYTciwW+DyBVHlDaBJpkOv4SUd7OxpfoZMjpM6ZGJREcWihS3CUoZMbVzeSDdaraIZZytD3WqEMrDFX6vZxBXGgcjsdbULpOx3n38e1dayrCZHRQf7pvNRi/KR/J5qfwhOu0W19XNZIo763Ulqbzvfsou1awPC219RHVBflIgixHGdWSpveyjEcOuImqOidoZMnM4obyAEfzAEm0W9ub5xu4NocgZBEESDhGEY/PjrWbz8zUFsOnIOAJCfnYZ/3Hwh+rVtrPPo5EOCDEEQRJKx9VgZjpx1I8NuwZW9C/QeDkHEJWJZVrsAlJlmhcsXpJmLdaiIOrM6YjfDMEytQpPR4WxKooTUU4ZMbdhiZLrdAos5cgxl2smyjFAWfsA3/3ylVV5R5LygvW0Xw0Ts2rJ16JRgi898MYq17Qox4e1XVZDx1u+QYTsltBJkcpy1SxjZThuKz3s065DJipLRpfbnHu5+Cv9/LVFCqw6ZKEIcfyKOyxtAI54Vq9JweXJRuuLU/twJgiAIbWEYBmsOnMbCbw5i67HzAMLdsVOGtMX9ozrXmhyQyjSMrSAIgmhAfL6zBAAwpkc+0u10miaSG3bWPf9HevjfVpyElwSZOri5jqJIwYwtKoQYwOULNpibTLnwcyqyo8yKJUGmNpVRPP4BXpHcR99FQhmihdoD2okSbHE4I8ps/SpvQFVh2+0LoibGJEYnmkZdIjwxirXtqqgOoKI6gOYqOt1W1VhrZupgWRbNsgvQzraLL0TWXbfa9qysCOm0WWC38rvStMlRYT93/nfeZjHDYTXDGwihslpdQSZy3EfWn811F9O9AEEQRENh5/HzmPPpHk6IcVjNuGlgG0wb3hH5OambFxMN+sVPEASRRARDDL7YFRZkJvRuofNoCCIxrigCAxCZrax2cSrVcPvCAhY/ZyfNZobNYoI/yKCy2k+CTA1VvgAvp6L+THR2XxJh9C6SE8aBLXxnRRHiAfWPNZcvtn2SP8jAGwghzaZOlwh7TbOYTXDy1qGVIBPNJhTQzraLO8/oYNfG2nLVFWS0yhLhxKhoHTK+IEIhBmazOkJgxK6t7ueu0bbHEPyz0qzwVvm476QaBIIh7tiKZtWnthhFEARBqE8oxOCV737Fi18fAMOEJyD8fnAbTL2kA5pnNSwhhoV+8RMEQSQRPx0+i9OVXuQ4bRh2QTO9h0MQCamK4isO8Gcr0w9lPmzRgl9MM5lMyEqz4ZzLhwpPAC1y9BpdcsHOenVYzXBY6xc+XT51Z8KnGpHQ5drFSq0sdQjjEK1TANAur4h9f/55NMNuhckEMEy4QKuWIMPPj6mVY6KVGBXDJlSLwjzDMFFzVCLnGHU/98oY5ziuMK9yp0S0455/7+PyBWrtFyWJ1R2UrdW2e2N/589U+VTtEOILfVlR8nOoE5sgCCK1CYYYzPhoOz7bcQIAcFWfAvzlim7Iy26YQgyLeslrBEEQhGg+2xHujhnbI7+WJQFBJCuxZutyM2bph3It3FwhsXYxTSsf+FSCnQ2d7awrMIT3HcMAHj91ybBwljJ1v4tp2hTJCeMQLUMF0E78i9aZaTabIgHrKl53ElkDqi1KuKKIUYA2xWlvIIRAjV9bNFFC7Q6ZWGKUdh0y9buDHFYzrDVdMWp+9pUJJr+ove2uGOvX4rNnu4Pq27WRZRlBEERD4IVV+/HZjhOwWUx47tpeeOnGvg1ejAFIkCEIgkga/MEQVu4muzIitXDFmDXJFcZoVj6HLxCCLxgCgHr5UGS9UZ9IcHftfeW0WcBOTCdLvAixLcvCxUvqkCGUgrMsS6trWabNsRarOJyloSBT93vGikP6WZapL+qz224yAem8DiR+UZ5hfSZVgBPiYlw/NQu25332JpOJ1xmm3vpdMT537TJkYh336gsysb5zXHcQTfwhCIJIWb7cVYJFa34DALxwfW/8bkBrnUekHSTIEARBJAnrfzuLMrcfTTLsGNKhid7DIQhBxJw1qVHQbSrh4WWepNvrzPB1ajPLNZWo4Dzzaxd9TSYTV5BzU9cHR+KZ+3RsEcoQW5TQRoiPl6MSHp96xelYhWntu0SiF+bVFaMidm38rBRWjAqGwvk9asHu2/QYYpTahflK7rOPnp2kZhdiTBFS7wwZDa4viY75Km8AwZB6QiBBEAShDmervHj0P7sBAHdd0gFX9Wmp84i0hQQZgiCIJIH1zBzXMx9WC52eidSA8/KPMWOVOhgisPkxdqsZtjrfcTYcm6w3IsTKJwK0m42eSlTFKBay303aV4RSxBL/MjUozjIMo2txOlZ3kFbCp54dMtEsu4Da1381zzMxLcuc6gtx3kAQvhqxSY/jnr3Xqttdq3mGTAzBX83vXLTsPaC2KEp2rwRBEKnHE5/txTmXD13zs/DA6C56D0dzqOJHEASRBHgDQXy1pxQAcGWvAp1HQxDCYS069LCOSTXcbFHBXj9sWqsZvqmEyxdd7OM/5vZRhwwLN3s9xsx9byCEQFC92euEcaiMEuwORL6Xahamq/0hsJPh9bTt0iNLA4gUp+uKElpcQ6JZdgHh/B72uqZmVyx3TdChQ4afDxOrI1jN+x23jp87EPuzZ/+tZn6OixOjam+7zWLmMmVcdC9AEASRUvxrcxE+3XECZhPw7LW9DJmfbLwtJgiCSEK+P3AGldUB5GU7MKBdrt7DIQhBBIIhVPvDBd66IfVaFChSDVeMGa5ApMDEFl0IwM3Z09QXsNIpF6UebMGs3ux13r/VDhwnjEGkSySGVaWqnQKR9+bnmITHo4VtV3zLMrWFT9amMbZdm3rbXhFDiOOPR5sOGe23nT3m0+0WWHh2bYA23VGxOqM4QcQXQEhF265Id1Qsuzb183Oidctq0Z1EEARBKMvWY2V49L9hq7IZIzujd+tG+g5IJ0iQIQiCSAI+3xm2Kxvfs6CWLzdBJDP8GYmxZuWr+SM91YjYbtQXGDI4gYEK5ixuAR0yLhKwOGIViu1WM+w1FnlVtL8IBUiUo6LubPlIp2Hd+yUtLMs4K8UY+TnhMaq3/Vxhvp5NqHaWZVEL4xqIcS4dtz1WZxQQEcE12fYYnVkMA1QH1DnugiGGux7HvtfTXowCIl0zJMgQBEGkBl/uKsHkxRvhC4Qwsltz/OnSC/Qekm7Uv6oRBEEQmuLxBbF670kAwITeLXQeDUEIh/0BbLOY4LBG75Ch3IoI7jgdMumcBRftLxZ2X0TrkOE6ikjA4qiMUSgGwoKfzx2iohWhCLHEPz07BcLj0a5TIrtOlwgrfPqCIVR6/chJr99FIpdAMARvjBwTLba9KoYtIn88enz2WlhYxhLiwuNRP9PMxeX11b4eplktMJnCgkyVNxD1/kIu/O2q1w3NCTLq7XtuckaUewEtRGCCIAhCPr+drsLzK/djZY1N/yWdm+HFG/oYejIyCTIEQRA6893+U3D7gmjZyIm+Bm3XJFKTWDM2Ad6MUbIs44jbIcPO8iQfdA52X6TbYlu8keAXoSrODO4MhxVlbj9ZCBKKEDvYnj2PBcAwDEwm5X9kx7MvSoYukXMun2rFYf771u+UCO97NUV99vyRHU2UsGvRJRK9MK9Fl0QsS8jweDTY9hjB9mazCek2C1y+YHiCQpby62a3y2411598w93rqW9ZFrVblhVkaDILQRBE0sEwDDYfKcMb3x/CN7+cBMMAFrMJfxzWHg+N6QKrxdimXSTIEARB6Myn28N2ZRN6t1CleEEQalEZ50cyW6ijgnmEeBky6VzHB+0vFrc3sYBFHUURKr3Ri+QA+ewTyhJLlGD/HWIAjz+oymz9WIVp/vrV7JSIZ12V4bDgnEu96x5rOWjnhZmzpGsgiCSNZVmM447N71GjwBOx6at/fs3S4PwaT4jMcFjh8gXVO+7iiFFcho0WNn1kWUYQBJEShEIM/re7FG+sO4QdRee5x0d2y8NDY7qgS74KswdSEBJkCIIgdOScy4dvfgnblV3Vu6XOoyEIcbi4AkXsH+kVNCOfgxUP6lqOhB9jZ3lShwwL1yETZ1asmjYpqUaiDhmAilaEMsQqzDttFphNYUFGPfuk2PZFbHFWTVEgll0bwDuPq7R+V1yRWgMxivvctRd9GYbhxLi6xx3f1tLlCyLHqbwgU5lAEAHUFsPY4z7G+iu9qn32bBZgdLu2mq40FbddkGUZ3TsRBEEkBT8fOYc5n+3B7uIKAOHuymsvbIU/XtweHZtl6jy65IIEGYIgCB35z7Zi+IMMerbMQfeCbL2HQxCiiGdZxv5I9gVC8AaC9WwujAjXIRNtlqcGdjOphidOEYY6ZOoTr2hFFm+EUgRDDKr94RyTuud+k8mEDLsVld4AqqoDaK7CBMhEnQKAuueFeFkiagecx+sU4OzitLDtipujok5hvNofQohh11V7/Q6rBTaLCf4gA7cvgByn8vk9lfHyc9juIBUnoMQV41T+7ON1hemZHQREJmzQZAOCIAh9CYUYvLrmV8xffQAhJnx9uP2idrhlaDs0zXToPbykxNiGbQRBEDrCMAz+9XMRAOD6/q10Hg1BiCfujE1eF4iHZi4CENYhQyH1EdjZ0PEs3khgCMMP+45mIZipQbGWMAZ8sSM92rlM5ZDteBMB1F43ELFS1MO2S5gYFQTDMKqsnxMlohbma2xKVRIl+Ps03RatO0rdwny8DsRIl4aaXSICRAmV1h/Xqk6L/Jy466+ZnGGga1txcTF+//vfo0mTJkhPT0efPn2wZcsW7nmGYTBnzhwUFBTA6XRixIgR2LNnj44jJgjCCMz9ch9eWBUWY67p2xJrHxqBmaO7kBgTBxJkCIIgdGJXcTl+Ka2E3WrGxN4Feg+HIEQT+ZFcvzhi5Xnck5VEmLgCg91SaxkiIk7FK/qSgBXG7Y/sBydZ4hEqwnZimU2Aw1r/p6TaokTcLhENzqNCrBTVtiyLdk5kHwuEGE6cVXz9NdsevTtIXdE3EuxugdlcP2+R++xVuiZEMmTiiBIqdshwx31UwV0bMSqePa2qgkyc71xkcoYxrm1lZWW46KKLYLPZ8L///Q979+7F3//+dzRq1Ihb5rnnnsP8+fPxyiuvYPPmzcjPz8eoUaNQWVmp38AJgmjQvP3jYfzzh8MAgKevLsSLN/RBExJiEkKWZQRBEDrxz3Xhi9b4ni3QKN2u82gIQjzxCgThxy3wBUKGmrkYD3ec7AMSGOoTEbBiW5aRgBWGPW4sZpMuRXLCOLh4532TKUphXCNRItps+UiXhIodMlynQpQ8C7W7NOJ0pfKL1W5fEGlRukjk4o5zTuZECZW7NKJZfgLqH3fx7eLUPb8GgiHOJjD6ca+NGBW1Q8Wuvj1tPLs2LSzTkolnn30WrVu3xttvv8091q5dO+7/GYbBggULMHv2bEyaNAkA8M477yAvLw/Lli3DXXfdpfWQCYJo4Ow5UY5nvtgHAPjz2K74/eC2Oo8odaAOGYIgCB0oPu/BF7tKAAB3DGuv82gIQhrxvPSBSIFIzZDhVCJehwxfYFDLbibViGSiUEh9IviF0mhFcqMVrQj1YL+X6VGKowCvU0K1wnzNeSFqh4q62VK+QAj+YPj8HK9DRq3Z+vHEKIvZBKdN3S4Vd6JgeajXJRJv24GIUKNWF2C8bVfbtou/TdG+d+z61Tru2QyZaGIYXyRR26YwrhhlkMkZn376Kfr374/rr78ezZs3R9++fbF48WLu+cOHD6O0tBSjR4/mHnM4HBg+fDjWr18f8329Xi8qKipq/REEQSTCFwjhwY93IhBiMLZHPqYN76D3kFIKEmQIgiB04K0fDiMYYjC0YxMUtszRezgEIYlEBZIMlQtzqUa80HW20BFioJrdTKoRbzZ2hgYz4VMJ7tiK1a1GmTuEQiQ81uza5KjE7TT0BREKKS9s84WO6F0ibLC9X/F1h983dpdG+HF1r7nxuhbVFn3jXT/D61dXjHPFyYCLbLtKYlDNum0WU9QOlHS7ukIgu/5o93pWixlpthp7WtWt+mhyxqFDh7Bo0SJ06tQJX331FaZNm4Z7770X7777LgCgtLQUAJCXl1frdXl5edxz0Zg3bx5ycnK4v9atW6u3EQRBNBheXfMr9pVUoHG6DU9dXRh1UhgRGxJkCIIgNKak3IOlG48CAKZeQrMIiNQlUXHISUH1tYhXVHDaLPWWMzLBEMNZtEQvwpDYxydetgRgvKIVoR7sdy5aVhGgfmE+brA937bLr/x1h912u9UMmyW2NaDahfmYXSIqC9XuON1JmmUHxRAC01UWAt1xckz4266mEBjrXkt9MSp2nlt4/TYAkU4aJWEYJpJdFOc7b5R8tFAohAsvvBBz585F3759cdddd2Hq1KlYtGhRreXqFkUZholbKJ01axbKy8u5v6KiIlXGTxBEw2HviQq88u2vAIAnripEsyzKjBELCTIEQRAa8/dVB+ANhDCgXWOM6NxM7+EQhGQSFQnYmaRqFMZSkXgzy/l2M2TxVruwFLVDhgSGWrDfsYQ2UiSOEjKJV5QH1LftimeVmWYzg817VyO7LHIOjy98qtcdFL9LJENF66pwYZy1rop9Tla7MypmRy57v6GybVa8HBNAnfudeDZ9AD/YXi2ruvhimJo2hd5ACMEakSt6V5y6Nn3JRosWLdC9e/daj3Xr1g3Hjh0DAOTn5wNAvW6YU6dO1eua4eNwOJCdnV3rjyAIIhblHj9m/ms7Z1V2Za8Weg8pJSFBhiAIQkN2HS/H8q3HAQB/uaIbtXUSKQ1bHMqMURziMmQM8kM5EfGKWQB1ffBhC5+xQuozVM4LSDXYImS02duA+jZShHFIfB5TuUPGF3sigMlkUnXGfOJOBf2C5QFeFpkK66/2h8A2f0TtkNF727lrgvYdMg6rGZYaJVCN7Y8nBgEaiFGJcqPYDiEVOmRq2wTGtiwzykSWiy66CPv376/12IEDB9C2bThEu3379sjPz8fq1au5530+H9auXYuhQ4dqOlaCIBomFdV+3PrWJvxSWokmGXayKpMBCTIEQRAa4Q0E8eDHO8AwwMTeBejbprHeQyIIWUQ81WNZiLACgzF+KCci0cxyte1mUgm+BVe0m3y2ABUO2abMnXjZDoD6xVLCOHgSZMhwOSqqhbvHti8CIkVjNY51ofk5eti1AbxgexWuIXyhg2+xyaJ6sD3XHZRAkFHNsiy2KGIymbjtV8O2K2E3supilDC7ODVEEfZzd9osnOjFx2iTDe6//35s3LgRc+fOxa+//oply5bhjTfewN133w0gfCzOmDEDc+fOxYoVK7B7927cdtttSE9Px+TJk3UePUEQqc62Y2WY8PIP2F50Ho3SbXjvjkFkVSaD6FdVgiAIQnHmrzqA/Scr0TTTjr9e2T3xCwgiyUk4K5/1NTfID+VEJCqas4+r5QOfSiQqfPKPObc3iJx0Y88xSlQkJ4s3QikSncc46yqVzmOJskTCj3tV7VRI1ClQqVOOippZIpHrvQXmaIXxms/dH2TgDQSjhs/LITIBJP71U60JIK5EVn12C8o9flX2vUtwdpC6Yliiexc1BKHEnVHGus8cMGAAVqxYgVmzZuHJJ59E+/btsWDBAtx8883cMg8//DA8Hg+mT5+OsrIyDBo0CKtWrUJWVpaOIycIIpU5XenF/NX78eHmIjAM0LKRE2/c0g/dC8jeUA4kyBAEQWjApztO4PXvDwEA5l7TE00yaSYBkfoksq7hZk1ShkytkPrEM3xpf7kThAjbrWbYLWb4giG4fAHkpNu0HF7SkbhITnlOhDK4ExRn1e7GStwlol4WVyKhWKttj3UNiQTbq9chE9sWMXI8uLwqCDI62sUFQww8/gSihIrX70QZMpkq3zu449gE8sflUeU7l8CujWdfGgoxUcXChsaECRMwYcKEmM+bTCbMmTMHc+bM0W5QBEE0SHyBEJasP4yXv/mVE8iv7lOAJ64qRI7T2L+9lIAEGYIgCJX5+cg5PPTxDgDA1IvbY3SPfJ1HRBDKkGhWPtfxYZCZi/FIFFLPf5w6ZBKLfexzPneIuj7As8OLUTBzcnlOJMgQ8oh8N7UvjIdCTEQUiZmnoZ59U5U3kfCpbmE8kV1bhorXEDfXpRF9260WMxxWM7yBENy+AHIz7IquP6EQp6Llp4cnZMcWwyw1y2pvWZaucv5cog4ZpxYdMglsAoHw5xRrHxEEQRDiWP/rGTz239347bQLANCzZQ4ev7I7BrTL1XlkDQe6YhEEQajI5iPncNtbm+ANhHBZ1+Z4ZFw3vYdEEIqR2IKLgtdZ2CKiNUZIPQBVw6hTjUR2eEB4f513+2l/IfJddMYqFLOZO8Fw5o7NYmyLN0I6ESE+gWWZyjkmiToN1RAfE3cKRArTDMMoHnIbsW/SXhByCTgnp9stNYKMil0iiayrVLFrC7+n2YSY12/OtkuN4y7B586KVGoF2ws97tX4ziUSIdNsZphNQIgJC1ckyBAEQcij3OPHY//ZjU93nAAANMmw48/juuK6C1sZogtRS+iKRRAEoRJf7irBzH9tR7U/hGEXNMU/Jl8YNZCSIFIRvgVXIpskNWwsUo1EIfUAz2qHOj4S5gUAkeOLOmQSF8lrZe74gshxkiBDSMPli1+YVzOviC3OxhO22euRGiHfCbM0aradYQBvIIQ0mzo5KjE7ZFTc94mso4DwMVHm9qsU7p5AjFIxR8XF6waOdf1W07YrkRil5jEP8L/z8Y97VT73BN2yJpMJGXYrKr0BmpxBEAQhk99OV2HqOz/j0BkXzCZgyuC2mDm6C9mTqQQJMgRBEArjD4Ywf/UBLFrzGwDg0i7N8OrN/WLOXCaIVMQtYKZyuorWMalGxGYnfscHQB0yQKSoFcsWCaCgej6JiuR2qxk2iwn+IAO3L0A/rAjJJJqtH7FeVDPHJLawzZ5H1bXtimENyBNgXN6A8oJMwgwZ9ayjhHbIAOpMKkgYbM/ZdqknBsWz0FTTtiuRXRv7uC+gfAekPxiCL1CTfxfLntamXndSomOefa7SG6B7AYIgCBkUn/fgpjc24lSlFwU5aVj0+37o3bqR3sNq0JAgQxAEoSAHTlbi4X/vxPai8wCA2y9qj9nju1FnDNHgYAvmQiw8KLeidodMLKhDJgJXeI1T0FQzKyLVcAs4vpw2C/zBgGr5FoQxiNjjJcjSUMU6SoCw7VBP2E4kfFpqOndY264mCq7bGwjCH2QAxMnTULFTQVCHjIrrj+T3xBcl1Lh+uhPk5fGfU2XbE3SM1uqA9AaRk66cIMPfnliClKodMqwYFU8IpG5ZgiAIWVRW+3HbW5twqtKLLnlZeH/qIDTNdOg9rAYPCTIEQRAKUO7x49U1v+KtHw7DH2SQlWbFs9f2whU9W+g9NIJQBX5hKqYFFyvIqBBym2pQh4w4hBRe1fTsTzXcAjuKKqoDZCFIyMIt0B7P7Q8qnqPiTpBbBvCyRNQozCfoDgo/Z4U34FO8OO0RUBhnryGq2LUlEKOAiICuhkjuTpAlkq7mtovokFEzwybW+d1uNcNuMcMXDMHlCyAnXbkOSHZ7rGYT7DE6b9JV3HaXgHunTAdNziAIgpDDC1/tx8FTVcjLduDtPwwgMUYjks5Aet68eTCZTJgxYwb3GMMwmDNnDgoKCuB0OjFixAjs2bOn1uu8Xi/uueceNG3aFBkZGZg4cSKOHz9ea5mysjJMmTIFOTk5yMnJwZQpU3D+/HkNtoogiIaKLxDCWz8cxvDnv8Praw/BH2QwsltzrLr/EhJjiAaNkI4PNcOVU40qIR0yKhY1Ug2XgMJrJlmWcbgFZO6oaWdEGAd3gsI8e5wxDLicMa3WzX+uSo2AcQHrd6pk38Su224xx7SkStcg2F5Irpcaom8iUYQfbM8wjLLr9sXvzgF4QqAq2x5fjALU6xLh5yYlnHyjQ3YQf/00OYMgCEI8O4+fx7sbjwIAXvxdHxQ0cuo8IuOQVILM5s2b8cYbb6BXr161Hn/uuecwf/58vPLKK9i8eTPy8/MxatQoVFZWcsvMmDEDK1aswIcffogffvgBVVVVmDBhAoLByIV58uTJ2L59O1auXImVK1di+/btmDJlimbbRxBEw6Gy2o83vv8NFz/3LZ78fC/Ou/3o1DwTb93WH4tv6Y8WOXQhIxo2Hn/iWYtOFWfLphqRgrmQTBQqKgjqkFGxAJZqCJq9rmK2BmEcEnWJ1MpRUfhYY7/r8TL5MlQUJYQUh9UqzHs4q7jEIrUakyBYgSteF55TpS5PhmHgZu85YgmBNfs9EGLgDSgsBHrjd4UBvPOrKvtewAQYlfZ9xKou8bVFje7eKgEZMjQ5gyAIQhrBEIO/rNgFhgGu7lOAoRc01XtIhiJpLMuqqqpw8803Y/HixXj66ae5xxmGwYIFCzB79mxMmjQJAPDOO+8gLy8Py5Ytw1133YXy8nK8+eabeO+99zBy5EgAwNKlS9G6dWt8/fXXGDNmDPbt24eVK1di48aNGDRoEABg8eLFGDJkCPbv348uXbpov9EEQaQcpyu9ePvHw3hv41FUVodv/POyHZgxsjOu79cKVgWDNAkimaEOGXG4BBSzqEMmAlt8i99RRAIDi8cnZH/RLGJCPq4Ex5rZbILTZoHHH1S8U0JIJ5ia1o+COmRUyhJJZBUXHlf4OTVsu4Tte3Xyg3zBEIKhcNdLzBwTnhDo9gWRFid/TCxch4wQC00VrkfsBJh4HTIZGnTIxFw3lxfY8HKjCIIgGjLvbTiC3cUVyEqzYvb47noPx3AkTeXw7rvvxvjx4zlBheXw4cMoLS3F6NGjucccDgeGDx+O9evXAwC2bNkCv99fa5mCggIUFhZyy2zYsAE5OTmcGAMAgwcPRk5ODrcMQRBENEIhBj8cPIM/LduKi/72LV5d8xsqqwPo2CwDz13bC98/fCluGtiGxBjCULgFFIC5H+l+5S1EUg29C4mphpCQ+kgBjPaXS0DgNlu0ogwZQg5uEfZNanXICLKO0itDRiVhnS2Mx+0OUjFYXpgYpc45mT+pIz2G0GK1mJFmC9+HKy1KiBHD1LRri/fZc10qim974g4Vp5qWZez5Jo7Apta2EwRBNGRKy6vx91UHAAB/HtsVzbIoN0ZrkqJD5sMPP8TWrVuxefPmes+VlpYCAPLy8mo9npeXh6NHj3LL2O12NG7cuN4y7OtLS0vRvHnzeu/fvHlzbploeL1eeL1e7t8VFRUCt4ogiFSnpNyDf/98HB/9XITjZR7u8QvbNMK04R0xslsezGblwmoJIpUQUhhjf6QHayxElJyxmmoIspRSsZCYagjy7LeTwMDi9go4vihDhpCJLxCCPxgW1+PZL6pVoBViWaZmuHukMC+k01FhyzK/ECEsEm7OMEzMzA8psNeluF0aKp2T2Y5Ju8Ucd/JTht2Kar9P8XNcpCNYiG2XCh0yAu4f+Bk6SpKoIw7gdUOrkV3EfufiiKCZKgnABEEQDRVvIIj/e38LKr0B9G7dCJMHttF7SIZE9+ncRUVFuO+++7B06VKkpaXFXK7uDaWQm8y6y0RbPtH7zJs3Dzk5Odxf69at466TIIjUxh8MYdWeUtyxZDMu+tu3+PvqAzhe5kFWmhW3DGmLz+8Zhk+mX4TRPfJJjEkhXn31VbRv3x5paWno168f1q1bF3PZkpISTJ48GV26dIHZbMaMGTOiLrd8+XJ0794dDocD3bt3x4oVK1QafXLiFjAjn188MHrOh7CZ1erNbk41hBRh1AoxTjX8wRB8wXBmgpCOIjq+CKnwC+1COjWULsx7hHQaqhmuLuK6p1aXhpD8HIYBqv3K5qhEbLtir5/rkFF424Xk5wDq5bCx+z6eGKVWhww/P0fI+V1pIZK7d9FBhOS/p1OIGGbwewGCIAghBEMMZi3fhW3HziM7zYqXbuhDdS2d0F2Q2bJlC06dOoV+/frBarXCarVi7dq1ePnll2G1WrnOmLpdLKdOneKey8/Ph8/nQ1lZWdxlTp48WW/9p0+frtd9w2fWrFkoLy/n/oqKimRtL0EQycmRMy48u/IXDP3bt7jzvS345pdTCDHAwPa5mP+73tj0l5F48qpCFLbM0XuohEg++ugjzJgxA7Nnz8a2bdtw8cUXY9y4cTh27FjU5b1eL5o1a4bZs2ejd+/eUZfZsGEDbrjhBkyZMgU7duzAlClT8Lvf/Q4//fSTmpuSVHD2KbbYP5ItZhNnIWL0nA8hHTJq2fykIkJmJJOAFYa//YJmcFPRipAIe26yW8ywW2P/jFSrMO8SUJxVdba+iE40xbtEBATLO20WsPMMFS/MC+gO4tuUKolLwLYD/JwslTpkhAhxCn/u3gAvPyfO9meqdNxz9y5xxajwc/yxKoUoEZby0QiCIOLi8gYwbekWfLKtGGYTsHDyhWjXNEPvYRkW3QWZyy+/HLt27cL27du5v/79++Pmm2/G9u3b0aFDB+Tn52P16tXca3w+H9auXYuhQ4cCAPr16webzVZrmZKSEuzevZtbZsiQISgvL8emTZu4ZX766SeUl5dzy0TD4XAgOzu71h9BEA2Dan8Q/9lWjBvf2IARL6zBojW/4XSlF00z7bhreAd888Bw/OuuIZh0YauEs/KI5GX+/Pm444478Mc//hHdunXDggUL0Lp1ayxatCjq8u3atcNLL72EW265BTk50QW4BQsWYNSoUZg1axa6du2KWbNm4fLLL8eCBQtU3JLkQkiHDMAPXjf2D2UxHUVUVBBnDWR0AYs9tmwWU9wiuZqdA4QxcAvtVGA7ZBQuzAvLLlOnS8IXiHSixT8vqVOYF5LdYzKZeEK1WrZdQq5h2ncHAeqJcWKuR8p3hQkU3B1sh4zSQmBiQYR/TKglCAmxKaRrG0EQRGzW/3YGY1/6Hqv3noTdasYrky/E8M7N9B6WodE9QyYrKwuFhYW1HsvIyECTJk24x2fMmIG5c+eiU6dO6NSpE+bOnYv09HRMnjwZAJCTk4M77rgDDzzwAJo0aYLc3Fw8+OCD6NmzJ0aOHAkA6NatG8aOHYupU6fi9ddfBwDceeedmDBhArp06aLhFhMEoTf7Sirw0eYirNhWjHKPHwBgMgHDOzfDjQPa4PJuzWGL41FNpA4+nw9btmzBI488Uuvx0aNHY/369ZLfd8OGDbj//vtrPTZmzJi4gkxDyyQTkiETft6Ccy6ale8SMLOaLfb4giH4AqG4xfWGjpisCKMLWEKOLf7zRu9WI6QjtFMh0iGjjmWZEOsmjz+IYIiBRSEbDv73Jv55iS3MKywK+IWJEul2C6q8AdVsu+KFu6erJPoKyc8BImNTWpRwCTju1Opw5fJzrOa4x3LEJlClDpk4+95hNcNsAkJM+LPPSrMptn4h+Tk0OYMgCCI2Vd4A5n25D+//FHYHadnIiZdu7IP+7XJ1HhmhuyAjhIcffhgejwfTp09HWVkZBg0ahFWrViErK4tb5sUXX4TVasXvfvc7eDweXH755ViyZAkslsiN0/vvv497770Xo0ePBgBMnDgRr7zyiubbQxCE9lRW+/HZjhJ8tPkYdhwv5x5v2ciJ3/Vvjev7t0JBI6eOIyTU4MyZMwgGg/WsKfPy8upZYYqhtLRU9HvOmzcPTzzxhOR1JhtuATYS4ecpeB0Qtr/4hTaPL2hwQUZARxFZvAHgF6wE2vkY/LtISMctwL4I4FlX6VAc5gsGbl9AseIwu+5Edm1qiRJCLMuAmu2v9KoYbK99TpWQziggsm8UF8O8icUop0pdGkIsu8LrV+f8LuRazHZmVXoDim4/wzC8zrDEkzOMfp9JEARRl+8PnMasT3ah+LwHAPD7wW3wyLhucTPRCO1Iyk9hzZo1tf5tMpkwZ84czJkzJ+Zr0tLSsHDhQixcuDDmMrm5uVi6dKlCoyQIItlhGAZbj53Hh5uO4fOdJZx1hs1iwqjuebhxQBtcdEFTxWZPEsmLyVT7M2YYpt5jar/nrFmzMHPmTO7fFRUVaN26tawx6AmXIZOoCOygIjDA62KIcwNst5pht5jhC4bg8gWQk67cLNNUwhcIwR9kPfMTdxQZvQgjZPY2QPuLkI9QIV694nTiwryjppMgGGIUna3PWTclsum0qStKxMvPAdQJdw8XxgV0yKjUhRfJ7tFHlBDUIVPznC8QQiAYglWhTnuhHZBqnd+Frt9pt6DSG1C0G9obCIGNpBEiBBr9PpMgCIKlotqPZz7fh49+Dmegt8514tlre2Fox6Y6j4zgk5SCDEEQhBzKPX6s2HocH2wqwv6TldzjHZtl4MYBbXDNhS3RNNOh4wgJrWjatCksFku9zpVTp07V63ARQ35+vuj3dDgccDgaznEnpDgD8GfMGruLQWghM91hgc8dMvT+4m+7sCKMcfcVwJ/BnOC7yIqjBrcPJKQjpEMl/LxaokTiDBuTyYR0uwWV1QFUeQOQfqWvjeBtVynHJGLbpb3w6guGEBAQLK/25y5UlFBLDBMiRgFhm7FshQQZofk5EZtApfNzhAmRbGeWkvue/17xu+LU6YwiCIJIRQ6erMSd723B4TMuAMBtQ9vh4bFdEl5DCe2hT4QgiAYBwzDYVnQey346hs93nkC1Pxy8mmYzY3zPAtw0sDX6tW0suyuCSC3sdjv69euH1atX45prruEeX716Na666irJ7ztkyBCsXr26Vo7MqlWrMHToUFnjTSWE2EiEn6ewVUB4MS/DbsV5t19x//9UgrMGsprj5nmxxbFqf0jRrIhUgyvY2YRZlhn9u0hIxy3AtgpQz7JMSLg6+3xldUBRUUJwh4xq1lECrQlVsEzjX4/iZ3moJIj4xdkyuhUWJYTYtdmtZljNJgRCDNzeILIV6swSLMSxooRf6e4gsSKscvuefa9E+TlOW3hs1CFDEITR2VF0Hjf/8ydUeQMoyEnDghv7YmB7yopJVkiQIQgipams9uM/24rx/k/H8EtppBumc14mJg9sg2subIUcpzFtf4gwM2fOxJQpU9C/f38MGTIEb7zxBo4dO4Zp06YBCFuJFRcX49133+Ves337dgBAVVUVTp8+je3bt8Nut6N79+4AgPvuuw+XXHIJnn32WVx11VX473//i6+//ho//PCD5tunF8IFBpqVD0gp5hl3fwkJ7q77vJJZEamGkHwDIPJdNfKxRciDO+8nONbUsiwT2i2QrsJ1R4yoDuhnHaVGYZzdj2m2+IVxtTpihVqWcYKQwqKEUCEw3W5BRXVA0XOsS6hdGytKKN0hw967CBXDFDzuPdx+FyhGkSBDEISBOXCyEre+vQlV3gAGtGuMRb/vR64wSQ4JMgRBpCTF5z14+4fD+HBzEeeT7bCaMb5XC0we2Ia6YQiOG264AWfPnsWTTz6JkpISFBYW4ssvv0Tbtm0BACUlJTh27Fit1/Tt25f7/y1btmDZsmVo27Ytjhw5AgAYOnQoPvzwQzz66KN47LHH0LFjR3z00UcYNGiQZtulN0J/pKtVmEslQiGGN8NXoN2NkTtkvMKKXw6rGWYTEGKgaFZEqkEZMoRWCA0Yz3Co2yEjuEtEwcK80K5Qp0qiutBOCTW6VNj3ShQCzJ5j/EEGvkAIdqvStl0CxSiF83O4c2zCCRVWVCjcmeURKgSq0BkFCBdh1TjuhIqg/O+cEhmRBEEQqUa1P4j/W7oF591+9GndCG//YWDCazahP/QJEQSRUuwuLscb3x/CF7tKEKzxs+7YLAOTB7XFtRe2RKN0u84jJJKR6dOnY/r06VGfW7JkSb3HGIZJ+J7XXXcdrrvuOrlDS1ncAn+kZ1DHB6oDQbCHVEIfdtpfggUGk8kUtiZSOEg41RA8e5syZAiZCC6QqhZszwpCCY51m/LCtt7h6oLFKBVECZfADBd+55LHF1RMkBEsRqkgSlT7Q5Hrtw7nWCG5SYD6+T3CO2S033b2c2EYwBsIIS2BfSdBEERD48WvD+C30y40y3LgrdsGkBiTItCnRBBESrCvpALPf7Uf3/5yintsaMcmmHpJBwzv1Axmg2YHEIReCA+pp1n5bCHPZALSrJS5kwjOnkbAj4l0hwWV3oCx95fOBTvCOAjOkFGh049hGC4fI+GxrkKHjtBwc9XC1QVblqnQISPQNiuc+2WCP8jA7Q8gB8p0LQq17VLjHMefHCE4p0vBziyXQNsute4dhFvlKb9+j0ARkv+5uLwBEmQIgjAUu4vLsfj7QwCAudf0RG4GTVBOFZSZtkIQBKESx8vcmPHhNlzx8jp8+8spWMwmXNWnAJ/fMwzLpg7GpV2akxhDEDrg8gksjHHFKeMWgTmrG5sl4fkqg7oYuAJYogJUeBkSsDiLNwF2OgAQCIXthAh1mDdvHgYMGICsrCw0b94cV199Nfbv35/wdWvXrkW/fv2QlpaGDh064LXXXtNgtOKI2BcJEyXcfuXOY/xOBT0K80I7VNQKV2f3peBrrqLbLmzdQKQ4ruQ13y2wMysiCigoxNVsh1PA9Ztbv4LbLtSyTLX8HoFCpBqdWUK/c2azSbWuPIIgiGSGYRjM+XQPQgxwZe8CjOqep/eQCBGQIEMQRFISDDF4+8fDGP3i9/jP9hNgGGBCrxb4euZwvHRjXxS2zNF7iARhWALBEFfQTWThkaFSkSCVcInp+CCBQfCsWIBnEWPg48st0E6Ivz+N/H1Um7Vr1+Luu+/Gxo0bsXr1agQCAYwePRoulyvmaw4fPowrrrgCF198MbZt24a//OUvuPfee7F8+XINR54Yj0B7vAwVCtPiOhWs9V4jFy7HxCbMLo3NUVEKbt8LLIx7VNj2RJ87EOmOUjRHRXB+jnodMon2e+31q3DcCeyQ8fiDCIUS2+4KIRRihIthKtjFCb22hZchQYYgCOPx6Y4T+PloGZw2C/5yRVe9h0OIhCzLCIJIOn49VYmH/r0T246dBwAMbJeLx6/sTiIMQSQJfDsOISG3gLF/JAu1d+MvY2SBQWhOBX8ZJQu/qYbQWcQ2ixl2ixm+YAguXxCN0rUYnfFYuXJlrX+//fbbaN68ObZs2YJLLrkk6mtee+01tGnTBgsWLAAAdOvWDT///DNeeOEFXHvttWoPWTBC853UKI56fGI6FVhRQsn1C9t2tXJUOGE/kSDEiVHKd6gI6pBR4RomPD9HBbs2EduuRscmJ0YJtEtjmHBunZDrZ+J1R7YjoRBo0/e4S3dYcNZFkw0IgjAOpeXVeOKzvQCAuy/tiBY5Tp1HRIiFBBmCIJKK/24vxiPLd8HjDyLTYcUj47pi8sA2ZEtGEEkEW/y2mE2wW+IXmzJU8PJPNUQJDCpkL6QarOWJmBnJRhawxMxeT3dY4HOHFLWVIeJTXl4OAMjNzY25zIYNGzB69Ohaj40ZMwZvvvkm/H4/bLbaWRxerxder5f7d0VFhYIjjo2bs8cT1o2lR1E+vExNcVgN26wE5yV+jorLF0BOuvwclVBIeH4OZ5mmSqeCcFFC0fULzjFR/n5DaFcYwLPqU7JDR2CHLb9rzO1TRpDhb0ei/Ds17vUi1zYB33kbTf4hCMI4BIIh3PfhNpxz+dC9RTamXtJB7yEREiDLMoIgkgKGYTB/9QHc9+F2ePxBXHRBE6yeeQl+P7gtiTEEkWTwZ0mbTPG/n04VCmOpBpsHkynAsow6ZMQJWBFrJAPvLzZoXYCARZk72sIwDGbOnIlhw4ahsLAw5nKlpaXIy6vt+52Xl4dAIIAzZ87UW37evHnIycnh/lq3bq342KPhEpglks4ryjOMMvZJ3HVHhFDrUTDDhhNkBASGK92pUR0Q3qnAZbioIEoIEWRU6ZARmJ+jxvlN6DEfXr96ooSoHBWF7rfEdaWp0Z0kwrJMBcu0ZGTOnDkwmUy1/vLz87nnGYbBnDlzUFBQAKfTiREjRmDPnj06jpggCKXxBUK478Pt+OnwOWTYLXhlcl84EojmRHJCggxBELrDMAwe/+8evPzNQQDA9BEd8e7tg6jtkiCSFDEzRjO4wljD/pEcDzEFc+qQEWfxxs2INvDxxX63BHXIkOCnKX/605+wc+dOfPDBBwmXrStus0JGNNF71qxZKC8v5/6KioqUGXAChHZjsee6QIiBL6hMjgonCiSw7AJ4x7miHTJS8iyU+Z7xtyNxp4LyHSriRHL17OoSilG8dSuVoyJOjFLRskzU9VCZ4459n2TPz1Fr/clKjx49UFJSwv3t2rWLe+65557D/Pnz8corr2Dz5s3Iz8/HqFGjUFlZqeOICYJQilMV1bjt7U34YlcJbBYTFtzYFx2aZeo9LEIiZFlGEISuMAyDv/3vF7y38SjMJuCpqwtx86C2eg+LIIg4cAKDKOuYhv8jORaiApGpYM4rwggPkDaygMV+t0QVrQy8v7Tinnvuwaefforvv/8erVq1irtsfn4+SktLaz126tQpWK1WNGnSpN7yDocDDodD0fEKQah1Fb+LxOMLKjJzU1SWh0ON2fpSisPadyqo0aEiND8nvIzyXYtC83P4woFSOSrc5y5ACFSjQ8Yl0K4NiOSoKCVEsu+jxzEP8EVY7bvSkhmr1VqrK4aFYRgsWLAAs2fPxqRJkwAA77zzDvLy8rBs2TLcddddWg+VIAiFCIUYfLKtGHO/3IdzLh+cNgtem9IPwzs303tohAyoQ4YgCF1Z+tMxvP79IQDAvEk9SYwhiBRAqJc+oM6P9FRDaBB2eBnjFBViwXXIUIaMIERlyHCB38bdX2rDMAz+9Kc/4ZNPPsG3336L9u3bJ3zNkCFDsHr16lqPrVq1Cv3796+XH6MnQjNkrBYzly+mVMi3lPOColkifmFdGuH1s+dxZTsVdMtwkSJGKdS1KCY/h989pJQoIeq4cyhv0SqmQ4cVrJT67MV1pSk/OSJyrymmK67hX9sOHjyIgoICtG/fHjfeeCMOHQr/jj58+DBKS0tr5ZE5HA4MHz4c69ev12u4BEHIZHdxOa57bT0e/HgHlxnz2T3DSIxpAFCHDEEQurG96Dye/Czsa/vw2C64YUAbnUdEEIQQ3CLsS9J5Qa8MwyTMnGmICC1ihpcxTlEhFmJmBFOHjMgMGRUCv4na3H333Vi2bBn++9//Iisri+t8ycnJgdMZtmKdNWsWiouL8e677wIApk2bhldeeQUzZ87E1KlTsWHDBrz55puCrM60gmEYTsgTZCfosMDnDnHdFXIR06mghrDNdaKJsExTav2RYHcRIrWShXG/mE4FZbvwxOTnmM0mpNstcPuCip3jhGa48JdRtDNLYH4OEDk+lBLc3SLyc7h7PUVzm8RPZmno17ZBgwbh3XffRefOnXHy5Ek8/fTTGDp0KPbs2cNda6LlkR09ejTu+3q9Xni9Xu7fFRUVyg+eIAhRlLl8eH7Vfnyw6RgYJnwuvPfyTrj9ovawW6m3oiFAggxBELrg8QVxzwdb4Q8yGNsjH/83vKPeQyIIQiBiinLsbN0QA3gDIaQJKOg0NKhDRhxiMmTUCLBONdjZ42IyDpTqWiDqs2jRIgDAiBEjaj3+9ttv47bbbgMAlJSU4NixY9xz7du3x5dffon7778f//jHP1BQUICXX34Z1157rVbDTog3EAIbyyGoQGuz4Dz8ip3LpBXG9Qm2V1qUkJKf4/GHc1QSWZwJwc2JvkImYSh7DROTnwOAE2SUEyXECIEq5KiwEzpEZBcp1iEj4tqihh2mlO98Q7+2jRs3jvv/nj17YsiQIejYsSPeeecdDB48GED0PLJEk6HmzZuHJ554QvkBEwQhiZW7S/CXFbtxzuUDAFzVpwCzxnVDfk6aziMjlIQEGYIgdOGlbw6i6JwHBTlpeO76XoacNU8QqQpXnBFQIHDyBBiXN2BIQUZKh4wRgmljIca3PrK/GnYRJha+QAj+YLhKLipw28AdWGrDMInDxJcsWVLvseHDh2Pr1q0qjEgZ+N8xYd2Ryto3scesOMsyFbpEBHULKGxZJqZTgffZePxBQdedxOsXY5ul7DVMTH4OwG6/T8H8Hn0nVIgTJZS1pBTTDZ2h4rY7Bdw3ZnBilLGubRkZGejZsycOHjyIq6++GgBQWlqKFi1acMucOnWqXtdMXWbNmoWZM2dy/66oqEDr1q1VGTNBELEJhRg89cVevP3jEQBAl7wsPHlVDwzqUD9PkEh9qM+JIAjN2V9aiX+uC/vdPnFVIbLTkscfnSCIxLhEFAjMZhP3Y9qoRXMxHTJsUUNJu5lUI5LVIMaayFhFGBb+dosqGCqU70AYB9ayK81mhkVQYZzt1FAqR0VfyzJReRY2ZWfrczlRAsSoNJsZ7BwnxUQJSWKUQtsuIj+Hv5xyYpiICQIKr1tMfg6gfIcMZ4cpqPsy0pkVDCUWpYUQye8RMPnHoN2fXq8X+/btQ4sWLdC+fXvk5+fXyiPz+XxYu3Ythg4dGvd9HA4HsrOza/0RBKEtwRCD+z7azokx00d0xGf3DCMxpgFDHTIEQWjO81/tRyDEYHT3PIzqHn/GDkEQyYfHJ7xgHl7OAo8/aFhBRlzoeu2ihpDCZ0NDTBHI6B0y7HbbrWbYLInnWXH7izpkCJGIOY8BymeZSLIMU6gwHgiG4AuEwu8tZLa+Q9k8CzG2WSaTCek2C1y+YM32OzRdv9L7Xkx+Tu31KyyGiRAllFo3Pz9HVIeMDt+5jDqdWZkKdmaJ6ZZt6BkyDz74IK688kq0adMGp06dwtNPP42KigrceuutMJlMmDFjBubOnYtOnTqhU6dOmDt3LtLT0zF58mS9h04QRAJe+uYgPttxAjaLCS9c3xtX9Wmp95AIlSFBhiAITdl1vBxf7zsJswn487iueg+HIAgJuETYp/CXM2rOh7jQdeWLGqmGOAGLLUAZ89gSE3oM8L+LDbtoRSiP2PO+0iHbYs6j7Peh2h9SRNjmd5QJ2X6lr3liv+fpDmuNIJP6dnFi8nPC61fHLk6QbZdK+Tkmk/D8HCDSVSQXt4juHLYzi2HC+0yJexcxgpBR8uSOHz+Om266CWfOnEGzZs0wePBgbNy4EW3btgUAPPzww/B4PJg+fTrKysowaNAgrFq1CllZWTqPnCCIeKzZfwovf3MQAPDstb1IjDEIxvuVTxCEriz4+gAA4Ko+LdGxWabOoyEIQgqRkFlhxSHOW9ygNlxiBAaH1QyzCQgx4SKY0QQZhmEiFm9CBCwVrIlSCZeIwGf+cka1eCOkIyZcHOCHbCtbHBbToQIoI2yzhWGzKXyOTrh+pcPVRViWASrYdokKd1fWOkpMfk54/ep0yAgS4nTOz4lkhGnfIVOrM8sbBBSo/4u5d1JaDEtWPvzww7jPm0wmzJkzB3PmzNFmQARByMblDWDWJ7sAADcPaoNJF7bSeUSEVlCGDEEQmvHrqSp888spmE3APZddoPdwCIKQSKQ4I64wZ9QisJgMGZPJFMmRaeCFhWhU+0NgM9GFHF/cTHTDdsgIL5jxl2voRStCedwihFJAxU4JgcI2l6OiwLmBXxg2mRIXxpXOs3BxhXmxXSJKixJCwt2VDVePZIqJPO6UEiVEiFGsKMB2ZslFbH6OU+HPPWIfKvC4U1AUEZuf4zT4fSZBEKnLgq8PoKS8Gq1znXh0fHe9h0NoCAkyBEFoxtKNRwEAl3XNQwfqjiGIlEWMfUl4OWPMXIwFN7NccOaOcW24+LPpnYJmwhtbYBBrZcR9Fw3arUZIR3yGjLLdWGIsy/jCthLnBnbdYrs0FBMlxFqWKZjfIzY/x6nguvnvI1iMUvh+wy1CCOR/Ph6/EseduMkvkeuh9p1R/OWUWD9//4nJsKFrG0EQqcTWY2V468cjAIAnryoUfJ9BNAxIkCEIQhNc3gCWbzkOAJgypK3OoyEIQg6RLAFhRQKjeHvHQkyHDBApOBpRZOBbtAjJfWALVYEQwxUNjYRLRLEQoDwnQjqiz2NKd8iILA4reayLXbeSggjAEwVEdol4FMgSEZufw4q+SggSgIT8HIVtw9xe4etnLUf5r5ODGMswgG+Zpr1lWXg55cQw/nuIys8x4H0TQRCpSbnHj3s/2IZgiMHE3gW4tEtzvYdEaAwJMgRBaMKnO06g0htAuybpuPiCpnoPhyAIGXB+9iJn5Svlp59KMAwTmVkutEOGs7sxXtGc3Wax9jSAMa1KRHerKRy0ThgHt1dccVbpbiy3SNsuJXNcxFh2AbzCtGKihPD8nPD6lROE2P1nMZsE5edwEzAU6vAUnZ+jdIeMCDHOZDIpmqEjNj9H6Xstt8jJN0p2yPCFOCH5OUpnVhEEQaiJ2xfAn5ZtxfEyD1rnOvH0NYV6D4nQARJkCILQhBXbigEANw1sI+jGmiCI5EXsrHylZwunEt5AxEte9MxyA+4vsRYtNosZ9poioREzd8TY6YSXo6IVIQ2uQ0agsMzN1ldKlBApPiqZ48JahgmehMCdwxXq0uCK0+JEfSXFqHSbRVB+DisK8K99chCfn6PsOS4ixmlv2yU2I0zpDkixk2+UvNcTn48WOeYZRv5xRxAEoRZF59yYvPgnrDt4Bk6bBQtvuhDZaTa9h0XogLA7G4IgCBmUlHuw+cg5AMCVvQt0Hg1BEHIRY+HBX86QHQy8gphwH3jjdsiItacBwsUiXyCkWPEzlRBt52NgsY+Qh9TirGKihEjbMCXD5bkcE5GFccVzTASLUcoV5sV2adTtWsySWWQSm5+jZGdUrfwc0V0iSooS2gtxAE8ME7zvlesMEy2E1Xw3AiEGvmAIDgE2ZwRBEFpS7vHj3fVH8Oqa3+DxB5HjtOHtPwxAn9aN9B4aoRMkyBAEoTpf7CwBwwAD2jVGQSOn3sMhCEImLrEWIgr6iqcarG1Lms0sKBMFUL6QmUq4RNoihZe1osztN2SHjNhuNb7YxzCMoBnvBAHwM2T0DVcXnF2m5Gx9sWIQt+3KdmmIX79ylmVC183mqISY8PrlCjJiC/NKdka5RQbLh5dTMkdFmuCudIeMaDFKwfycDKHr5tn5eXxBEmQIgkgazrl8ePOHQ3h3/VFU1pwfB7bPxbPX9kL7phk6j47QExJkCIJQnc93lgCg7hiCaCiI/ZHOCjfG7PgQV1TgL2tEgYENoRaatwMYW8ASna9Qs69CTNhSKE1gJgVBsF1Vgo81BcPV+Z0Kwm3DlBNFPCLFKKXD1bkuFYG2XU4F971Y0ZfNUanyBhTtEhFrF6dEZxR7fjWbICg/B4h8P5QUJcR3Iyt73Alev0O59btEdmZZa+xLfYEQXL4gGqXLHgJBEIQszlR5sfj7Q3hv41HuvNipeSb+dNkFuLJXAdn4EyTIEAShLkXn3NhedB5mEzCusIXewyEIQia+QAi+IFsYEzpTWdlw51QikrsgouODFbAMKDBw1kAihAKlZ+KnEuwxItxOKPKddfuCJMgQgokUSIV2yCho3cTrVBCf5aF9nkXdHBWh3ZGxEFuYj4gCyuXniOtatKDKG1DkGiY2P0fRziieGCW0m9CpYIeM+Ly+yLqV6IDkupMEXifSFRVBpXTLhu1LlRDjCIIgpOILhLDw24NYvO4Qqv3h38yFLbPxp0s7YXT3PBJiCA4SZAiCUJXPdp4AAAzp2ATNshw6j4YgCLnwvcmF+4obuEPGK71DxsgCQ6aIDhlDH18iO7AsZhMcVjO8gRBc3gByM+xqDo9oQIjtVFDSuom97ljMJtgtwjoVOGFbB0FG6RwVsTahSooCYi3DgMj2e3TIEmHFMGXWLU7wBiLfD2U7s8R1qAQVyFEJhhh42a40gddjNURQoV1hAPDo+O5gGAZNM+n3JkEQ+nC8zI1pS7dgd3EFAKB3qxzcN7ITLu3SnGyCiXqQIEMQhKp8tqPGrqwX2ZURREPAXWMpZbOYYBdo4cEW5pQKmk0lqrwSZhcbuUNGZHg1YOyMIrGWMkC4uOYN+Ay5vwjpiA8YV9A2i3ceFVrQiFx3lAy2F7bt/BwVjwI5Kh5OlBC375UQqcWKUeFla2w3lbDt8osUo2zKXT89IkVIICLe6CGG8XNU3F55OSr8760elmns+oV+7gBwXb9WstdLEAQhlVOV1bj5nz/h6Fk3GqXbMPeanhhXmE9CDBETEmQIglCNX09VYV9JBaxmE8YW5us9HIIgFCASui4+48OImSiRogJ1yAiB9d0Xtb9IwBKduXPOpVzgOGEMXF5xBVKngud9aaKAfuvn56jIXb8/GLEJTRdsHcXmqChYGJdwzVdi/Zwto8BOCa5DRkHLMKFCGKBsBhx33An83Pk5Km5/EI1lrJvdfyYR+TlKWpZJ+c4TBEHoRbU/iNve2oyjZ91onevER3cOQUEjp97DIpIcYVdXgiAICXxeY1d2SedmaJROtigE0RCQNiNfuZnSqYZLViHRiPtLevHPkAKWBEsdI+8vQjqic1RqvsO+mhwVObBdEmImAmQo2JkppVMiXaEOIf73VGjnYLoKooCoc4xDufVLDbZ3+QJgGJnHncT8HCAyuUAO3P2WSMFdifXzxSDhXWn6WpYRBEHoxfNf7cfekgo0zbTj/TsGkxhDCIIEGYIgVIFhGHy2IyzIXNm7hc6jIQhCKSIdMmQpJQSu40NMIZENqVcglDjVYI8vcR0fbPHPeAKWlIwiJe2ECOMgNVyd/1qpuCRYP0bC3RWwTJPQKaFUcVpSfg7XoaJPuHqGgut3i7QsY8cZYsBloEhetwy7NreC+Tni9r0y91tuSce8glZ1EizLCIIg9GD9r2fw5g+HAQDPX98bbZqk6zwiIlUgQYYgCFXYV1KJ3067YLeaMbJbnt7DIQhCITx+GRZcBiwAS7WUCr/WgPuLE7CkFP+MJ2BJKtg5lAvcJoyD2ydO/HNYzbCYTbVeKxVJooCCx7m0TgmlCuM16xbVqaBGh4zwa5iidnVecevnC4aKiRICLcPC61eyQ0b8ce9U6P5BSoZLpBtaSbs4EmQIgkheyj1+PPjxDgDA5EFtcGmX5jqPiEglSJAhCEIVPquxK7usS3PZYaYEQSQPUjpkuJBbf1C2hUiqwRZlxITUcx0yBhQYXFIsWlh7HCN2FMkoFBtxfxHSCIUY0dZVJpOJy76Qey6T0qHCWh0pMVtfkm2X0tZRIq4hima4SLEpVUiMCkjIz7GYTVzmiXy7OPETUNIVFCXEdqUByk1QkCVGKWlVJ2L9BEEQWsIwDOZ8ugcnyqvRtkk6Zl/RTe8hESkGCTIEQShObbuyAp1HQxCEkkgqENQUKBgGqPbLsxBJNVwiZ5UDvA4ZI3YU1YgEmWIELIWyGlINhmF4M6ilWCkZa38R0uF3mYiZMc8Wp+Weyzj7IknZZUpmyIgXipXq0hD1HXdEuiTk56jIyM+RK0bxjjs9crJkCXE65OcAynUnybJr00mMIgiC0AqGYfDU5/uwYlsxzCZg/u/6iBLvCQIgQYYgCBXYeuw8jpd5kG634LKu1LZJEA0JKT/S06wWsE4rRrPhcus4uzgVcUkowihpz5NKeHlh6aKK5NQhQ4iEfy5Ks4o/1uTahuldGJfUiWZTRvhkXy+uUyG83xkFc1SkZInIzVFh7cr4XS+i1q+UVZ6Efa+E4M3uPyn3D3Lze1h7Wr3EfimdYQRBEFpwqrIa05ZuwVs/hnNjnpjYA/3aNtZ5VEQqQhIeQRCK88nW4wCAsYX55P1LEA0MsTkCAGA2h61rXL4gXN4AmmY61Bpe0iEppL7O7GahuQENAXYmfaaEzB2jZRTxuw7EfB+5jiK/sfYXIR3+TH2zWfj5iBUR5HbIuHSfrS9BEFKoQ4frUBFRmOaLNy5vAGkybJ+kdGkoZ9cmPj9H2fXL2HYd8nPCy7LfOf06ZDz+IEIhRtS5Qon1EwRBqMnZKi/e/vEI3ll/BJXeAKxmE+Ze0xO/G9Ba76ERKQoJMgRBKEq1P8jZlV17YSudR0MQhNKwhTWxYmu6w1ojyBhrVr6cDhnW4s1IwrZbQkYRlyFjsA4Zfp6TmMIXZ6VksO8iIR0pHSJARESQm2cRsSzTZ7a+HFFC7nlJSn6OxWxCms2Man8Ibl8QTWStX/w1XykxSooQFl6/wnZxoiYIKJ+fI8qqT6muNCnXYjvPnjYQlGU3FukMo3IVQRD6crKiGq+t/Q0fbDrGWW8XtszGs9f2Qo+CHJ1HR6QydIUjCEJRvv3lFCqqA2iRk4bBHeT8BCSMjt/vR2lpKdxuN5o1a4bc3Fy9h0SA1yEj0kYi02HF6Uqv4SzLpGTI1Jrd7AsYRpBhGIY7PsR0yERCjI11bFV5xQdOA/xCsbH2FyEdqYVxp0J2gtIsy5SZre8LhBCosQYUF66ukHUUr0tEDBl2K6r9PuU6dCSJYTLX7RffYQpE9pXcc5yUCRVKCYFS83MiHTLKdAeJ6s7hHaNunzxBRooIShAEoSSl5dVYtOZXfLC5CL4a+89erXIwfcQFGN09T1YXIEEAJMgQBKEwH20uAgBc3bclLHSRIkRSVVWF999/Hx988AE2bdoEr9fLPdeqVSuMHj0ad955JwYMGKDjKI2N1KBVVsCpMpitFGuZIsYH3Ww2Id1ugdsXDM9SzVRrdMlFtT+EmrqnpBnJhuuQkSBeAXwBy1j7i5BOJEtD6rGmn3WU3Nn6/MK6ruHqIidBOO0WwKVEho0cuziZVnVsR65YMUqhzixOlBCxfqUy4Pj5OXaL8PycDKW6k/zixSiz2QSnzQKPX/69i0vi5B+CIAi5hEIM3vzhMJ5ftZ8TYga0a4x7LuuEizs1NZSVNKEuwq/uKrJo0SL06tUL2dnZyM7OxpAhQ/C///2Pe55hGMyZMwcFBQVwOp0YMWIE9uzZU+s9vF4v7rnnHjRt2hQZGRmYOHEijh8/XmuZsrIyTJkyBTk5OcjJycGUKVNw/vx5LTaRIAzBodNVWHvgNEwm4Ib+5KVJiOPFF19Eu3btsHjxYlx22WX45JNPsH37duzfvx8bNmzAX//6VwQCAYwaNQpjx47FwYMH9R6yIYl0fIifrQvIn7WZakjJ3AH4IoNx9hd/W8XMBucKUAY7tlhxU+wMYqMKWIR0OCFeiigAJUQJ8RMB6s7Wl77u8GttFhNsYgrjXIeMMpZlou3ilBIGpFiWKdUhI3HblerMiqxffAac2xfuzJIKvztHXH6OMmKY1H2fwcvAU2L9Yjp0CIIg5FLtD+KOdzbjmS/3wRcIYUC7xlj2x0H4111DcEnnZiTGEIqSFFe4Vq1a4W9/+xsuuOACAMA777yDq666Ctu2bUOPHj3w3HPPYf78+ViyZAk6d+6Mp59+GqNGjcL+/fuRlZUFAJgxYwY+++wzfPjhh2jSpAkeeOABTJgwAVu2bIHFEr4xmDx5Mo4fP46VK1cCAO68805MmTIFn332mT4bThANjHfWHwEAXNalOdo1zdB3METKsX79enz33Xfo2bNn1OcHDhyI22+/HYsWLcJbb72FtWvXolOnThqPkuA6PkT+SGZn8RtNkGGLEmJneWY4LDhTpUz+Qarg4gkMojJR2AKUAkHCqQQ7g1qqZZnRBCxCOlIDtpUTBcSvX6nZ+lK6JADlrKM8ErtSnQqJIvI6ZLTPcAEU7MyS0CXCX9bjD4o+P3PrlvidU0oMc0sQoyLLy7PK4+fniLXqIwiCkIovEML/Ld2C7/afRprNjMcn9MBNA1uTCEOoRlIIMldeeWWtfz/zzDNYtGgRNm7ciO7du2PBggWYPXs2Jk2aBCAs2OTl5WHZsmW46667UF5ejjfffBPvvfceRo4cCQBYunQpWrduja+//hpjxozBvn37sHLlSmzcuBGDBg0CACxevBhDhgzB/v370aVLF203miAaGBXVfvx7S7gr7baL2uk7GCIl+fjjjwUtl5aWhunTp6s8GiIWUu1T2KJElcGCxCPBuBI7ZAy0v1yS95VyQcKpBFvoFWtZxhY3qUOGEEpElNBH/JMsCDlqBBm/9PVzGSpiRQHWNktuuLrMTgU5or7U/BzFclQk5uco1pklIdg+zWqByRS+Hrl9SggyEr9zinWlSRWEpH/2/PwcsfeaBEEQUnlh1X5OjHn7toEY0pHykAl1kfWLVY3A5WAwiI8//hgulwtDhgzB4cOHUVpaitGjR3PLOBwODB8+HOvXr8ddd92FLVu2wO/311qmoKAAhYWFWL9+PcaMGYMNGzYgJyeHE2MAYPDgwcjJycH69etjCjJer7dWhkFFRYXsbSSIhsib6w7D5QuiU/NMDLugqd7DIVKcJ598Mu7zjz/+uEYjIeoitzhkpA4ZXyAyy1OsZVmGQgWtVCKSiSKy+MYr1rm8xhFkWMsy0YVihWaPE8bBLbHTj9+9Jm/90orTkS4V6et3SbDsAiLilVLh6qJtu2zyu1T4dmti1q9nZxR//UplyIg57tjOLLcvWPO9cUhctzxLSqWyg8Qe90oIQlLzcwiCIKSyveg8/rnuEADgpRv7khhDaILoX6xqBS7v2rULQ4YMQXV1NTIzM7FixQp0794d69evBwDk5eXVWj4vLw9Hjx4FAJSWlsJut6Nx48b1liktLeWWad68eb31Nm/enFsmGvPmzcMTTzwhalsIwmicrfJyF7AZIztTWychmxUrVtT6t9/vx+HDh2G1WtGxY0cSZHSELS6JFxiMZ1nGLwaJLmo4jNghI82ax2w2Id0eLoAZKag+0iFDGTKEusi2T1LMtkv7wrzcLA3lMlykdejIueaynUVi83P4dmlybCSligJK2cVJyc8BwufYsCCj/XGnvGWZ9oIQvzOKflMSBKE23kAQD/97B0IMcHWfAozpka/3kAiDIOrO7sUXX8QzzzyDdu3aYeLEiXjkkUfQsmVLOJ1OnDt3Drt378a6deswatQoDB48GAsXLhTs79+lSxds374d58+fx/Lly3Hrrbdi7dq13PN1L8YMwyS8QNddJtryid5n1qxZmDlzJvfviooKtG5NYeUEwecf3/0Gly+IwpbZGFdIFzBCPtu2bav3WEVFBW677TZcc801OoyIYJE8K5+zSTKOIMNuq91iht0qbpanITtkasQnsRZcQKQAZqTjq0pitkS6QsVKwjhItixTSJRwyS3MyyoO1xSmpdq1KVUYF2nblc51wsnoDvJKy8/hd1LJsZGMdGZJ7DCV2ZnF2s3pYtslMdReqfwePQUhqUIcQRCEFP7x3W84cLIKTTLsePzKHnoPhzAQoqoDbODyzz//jMcffxxjx45Fz549ccEFF3Bhy2+//TZOnjyJiRMn1hJUEmG323HBBRegf//+mDdvHnr37o2XXnoJ+fnh4m7dLpZTp05xXTP5+fnw+XwoKyuLu8zJkyfrrff06dP1um/4OBwOZGdn1/ojCCLCruPleGfDEQDAQ2O6GiZMmdCe7OxsPPnkk3jsscf0HoqhYQWZrDRxRYJMA3Z8cLM8JXigG7GLwSVjfymRl5BqsLYuYouVmWmRgl2oJh+CIOIhtUNFKVGCy3GR2JmpxGx9KV0S4dcrI8hItYuTcw2Rmp+TZq1tIymViBAocd/LEJ19gRD8wfD5UexxFxG95Wy7tPwcpbrSXDIFf7cCn7vU/B0jMW/ePJhMJsyYMYN7jGEYzJkzBwUFBXA6nRgxYgT27Nmj3yAJIonZc6Icr373KwDgiat6IDfDrvOICCMhSpD5+OOP0bNnz4TLORwOTJ8+HX/84x8lD4xhGHi9XrRv3x75+flYvXo195zP58PatWsxdOhQAEC/fv1gs9lqLVNSUoLdu3dzywwZMgTl5eXYtGkTt8xPP/2E8vJybhmCIMThD4bw8PKdCIYYTOjVAsM7N9N7SEQD5/z58ygvL9d7GIYlFGIk/1Bml68y0Kx8thgjtpgD8AQGA+0vt8TuK4BXfDSQ4CfVsozfgWSkjiJCOlyXhtQMGRnHGcMwkvM0nArO1hcviCgVbC+tU0KJrCipYhRrI8l/DylI7tJQoDNLluWogsed2O8cd+8gtztIanaRAkIkd9yJFKOMxubNm/HGG2+gV69etR5/7rnnMH/+fLzyyivYvHkz8vPzMWrUKFRWVuo0UoJITk5VVuPOd7cgEGIwunsexvdsofeQCIMhedqBx+MBwzBIT08HABw9ehQrVqxAt27dMGbMGFHv9Ze//AXjxo1D69atUVlZiQ8//BBr1qzBypUrOcV/7ty56NSpEzp16oS5c+ciPT0dkydPBgDk5OTgjjvuwAMPPIAmTZogNzcXDz74IHr27ImRI0cCALp164axY8di6tSpeP311wEAd955JyZMmIAuXbpI3Q0EYWjmfrkP+0oq0DjdhjkTqb2TUI6XX3651r8ZhkFJSQnee+89jB07VqdREfzirVhbKSX87FMNl8QiYvg1RuyQYQUsKfvLeB0yUu0DHVYzrGYTAiEGVd4AstJsagyPaEDItc2SU5z1BkJgG7nEFsYzFJytL9qujc2v8cvLUZHaneRU4BrilmjZxb5Gbo5KRJTQ3i6Ozc+xmk2iLUcjn70CVnlSBRGZkxOkrj9iF6e9EGckqqqqcPPNN2Px4sV4+umnuccZhsGCBQswe/ZsTJo0CQDwzjvvIC8vD8uWLcNdd92l15AJIqk4XenFHUt+RvF5D9o3zcBz1/WizCpCcyQLMldddRUmTZqEadOm4fz58xg0aBBsNhvOnDmD+fPn4//+7/8Ev9fJkycxZcoUlJSUICcnB7169cLKlSsxatQoAMDDDz8Mj8eD6dOno6ysDIMGDcKqVauQlZXFvceLL74Iq9WK3/3ud/B4PLj88suxZMkSWCyRC/n777+Pe++9F6NHjwYATJw4Ea+88orUXUAQhmb5luN4+8cjAIC/XdsLTTMd+g6IaFC8+OKLtf5tNpvRrFkz3HrrrZg1a5ZOoyLYArDVbIJDZIEiYllmnII5WxARW0wCjJohI6dDRr5FTKrBCn5ixVGTyYQMhxXlHr+hvo+EdNxy7YsUKMpLWb8Ss/Xl2rUxjNwcFYmFcYf8DBnuGiZSjAKU6U5ySbbtUsKqTnqOiTLHvbTvHHvv4AuG4A+GYLOIu1dj8UjszFLSskzKvZNRuPvuuzF+/HiMHDmyliBz+PBhlJaWcvUuIOxeM3z4cKxfvz6mIOP1euH1erl/V1RUqDd4gtCZLUfP4Z5l23CivBqN0m1467YBaJROVmWE9ki+ym3dupUrmP373/9GXl4etm3bhuXLl+Pxxx8XJci8+eabcZ83mUyYM2cO5syZE3OZtLQ0LFy4EAsXLoy5TG5uLpYuXSp4XARBRGf13pP48/KdAIB7L7sAY3rk6zwioqFx+PBhvYdARIFfMBc7i8iQlmVsILGUgo4BM3e440uKxRtbgJNp05JKVMmwxMusEWSqDHR8EdKRWpxWpjAefq3DaoZFZJeJEsK25E4Fnojg9ikhyIgUo2rWL8eWUKplGRARceQIQnoGy0vNLaq1fiVECYk2fex75DjFCzL+YAi+YAiA+PsXJS3LxApxRuHDDz/E1q1bsXnz5nrPsbnLdTOS8/LycPTo0ZjvOW/ePDzxxBPKDpQgkowylw/PrvwFH24uAgB0aJqBxbf2R/umGTqPjDAq0qZMAHC73VyHyqpVqzBp0iSYzWYMHjw47smeIIjU5n+7SnD3+1sRCDG4qk8BZozsrPeQCILQCLZ4K3ZGPv81xhIYpBXSAIN2yEj0zOe/xkiZO6yAJWV/sd/Hqmrj7C9COh6/3BwV7QvTSq3fJVEQMZtNSLOFf2pLFSXk5OewkyBkiRISP3eA3yGjgBgm2rJM/rZz51cJx50ynVnSjnu7JSJcSj3u+OMWbRPIdmbpYNdmBIqKinDfffdh6dKlSEtLi7lc3UlTDMPEnUg1a9YslJeXc39FRUWKjZkg9CYUYvDxz0W4fP5aToy5vl8rrLj7InRslqnz6AgjI1mQueCCC/Cf//wHRUVF+Oqrr7i2yFOnTiE7O1uxARIEkRwwDIPX1/6G6cu2whcMYXzPFvj79b0le2IThBD27t2LlStX4tNPP631J5ZXX30V7du3R1paGvr164d169bFXX7t2rXo168f0tLS0KFDB7z22mv1llmwYAG6dOkCp9OJ1q1b4/7770d1dbXosaUSbPFWiiATsZQyTgG4yusHAGSlSdhfhhSwpB9f7CxmIx1fbjn7q6ZoZqSOtUT4/X4UFRVh//79OHfunN7DSSrY75XYHBW2mOvxB8EwjKR1S+0QAXjnUVnB8vKzwKQW5vn5OVI7JRSx7ZJgWRYpzCth2yVVCJSx7X7plmVKTKhwcd1J4i0pufstietnhRyL2QS7SMszrjNLidymBiLIKHlt2bJlC06dOoV+/frBarXCarVi7dq1ePnll2G1WrnOGLZThuXUqVP1umb4OBwOZGdn1/ojiIbAnhPluP71DXjo3ztxzuVD57xMfDxtCJ6/vjdynJShSOiLZMuyxx9/HJMnT8b999+Pyy+/HEOGDAEQ7pbp27evYgMkCEJ/zrl8+PPynVi99yQA4JYhbfHXK3uIto4gCKEcOnQI11xzDXbt2gWTycQVctjZXcGg8B96H330EWbMmIFXX30VF110EV5//XWMGzcOe/fuRZs2beotf/jwYVxxxRWYOnUqli5dih9//BHTp09Hs2bNcO211wIIZ5I98sgjeOuttzB06FAcOHAAt912G4D6+TcNiUiIuPQZ+S5fIOFMvYaCHAHL0B0yUjqKuOPLOAJWlYzMncw0W633MCpVVVV4//338cEHH2DTpk21PPRbtWqF0aNH484778SAAQN0HKX+SLeOCh+bDANU+0OSCqxSi/JA5DwqK0dFZpbIOZf087ic/JwMBcLd3XK6RGzyJxVEBCGxwfLhdfuDDHyBEOwiM+8AecHyinaGSbDtSrdbUFkdkNEhE7EMk2pPK8uqjuvMSt0MGbWuLZdffjl27dpV67E//OEP6Nq1K/785z+jQ4cOyM/Px+rVq7manM/nw9q1a/Hss8/K3zCCSBECwRD+vvoAXl/7G0JM+Lx43+WdcPuw9pKztQhCaSRf5a677joMGzYMJSUl6N27N/f45ZdfjmuuuUaRwREEoS8Mw+CTrcV4+ou9KHP7YbeY8diEbvj94LaGKKYS+nHfffehffv2+Prrr9GhQwds2rQJZ8+exQMPPIAXXnhB1HvNnz8fd9xxB/74xz8CCHe2fPXVV1i0aBHmzZtXb/nXXnsNbdq0wYIFCwAA3bp1w88//4wXXniBE2Q2bNiAiy66CJMnTwYAtGvXDjfddBM2bdokY6uTHzmh6+xrQkz4x7ZUP/1UgrN4k9IhYzeewBDpkBFfgGK7kIxiwcUwDHdsSLMQNF7HWl1efPFFPPPMM2jXrh0mTpyIRx55BC1btoTT6cS5c+ewe/durFu3DqNGjcLgwYOxcOFCdOrUSe9h6wLbLSAnR8XlC0gTZLzSC+NOBc6jHonbzn+N1MI8Wxi3S8jPSR67ODndSdIK8/zjzOMLShJkIkKc9M4sRTJsJFwPw4KUV/L5XY4I6ZTZnQPwO/JSs0NGzWtLVlYWCgsLaz2WkZGBJk2acI/PmDEDc+fORadOndCpUyfMnTsX6enp3G8WgmjolLv9mPrez9h0ONyRNr5XCzw6vhta5Dh1HhlB1EZWNSQ/Px/5+bXDvAcOHChrQARBJAcHTlbiic/24MdfzwIAuuRl4YXre6NnqxydR0YYgQ0bNuDbb79Fs2bNYDabYTabMWzYMMybNw/33nsvtm3bJuh9fD4ftmzZgkceeaTW46NHj8b69etjrpu14WQZM2YM3nzzTfj9fthsNgwbNgxLly7Fpk2bMHDgQBw6dAhffvklbr311phj8Xq9tWbIVVRUCNqGZIKdTS/JgstugckUnint8hpFkAlblsmxlDJkJorEkHrAOB0f3kAIwRovI0kCqd1Y+ysa69evx3fffYeePXtGfX7gwIG4/fbb8dprr+HNN9/E2rVrjSvIsKKIyGPNUpOjUu0PSZ+tr4B1lEeB4rCU85LcLJFIsLx0QUROYTwixEm3KZWTn+OS2B1lt5phs5jgDzJw+wPIgXhbGvaYkbPvFbGLk3Tc1axfol2cnA4VtqNHVodMimfI6H1tefjhh+HxeDB9+nSUlZVh0KBBWLVqFZf/TBANmcpqP2556yfsOF6OTIcVz17bC+N7tdB7WAQRFVFX2WPHjkW1d4lFcXExWrZsKXpQBEHox7Gzbiz4+gBWbC8GwwAOqxn3jeyEqRd3oPZOQjOCwSAyM8Mhe02bNsWJEyfQpUsXtG3bFvv37xf8PmfOnEEwGKznm5yXl1fPX5mltLQ06vKBQABnzpxBixYtcOONN+L06dMYNmwYGIZBIBDA//3f/9UTfvjMmzcPTzzxhOCxJyOcRZKEAoHJZEKG3YoqbwAubwDNshxKDy/pqJKR8WHEDhm3xNnQQGQfVxpEYOALKVIsbdiuLSMLMh9//LGg5RwOB6ZPn67yaJKXQDAEXzAEQKp9khXVfp8MUUL6dYebra+AbZakLhGbvMK8HBtH9jUeX1CyTaicwrhcUYCfnyOpU8NmgT8YkPzZu+R0idiU6E6SY9Unz65OTodKhgLdQdx3LkUty7S+tqxZs6bWv00mE+bMmYM5c+bIfm+CSCVCIQbT39+KHcfL0Tjdhg/uHIyu+ZSHRCQvoqqrAwYMwNSpU+NaspSXl2Px4sUoLCzEJ598InuABEFow8GTlXjo4x247O9r8Mm2sBgztkc+vppxCaaPuIDEGEJTCgsLsXPnTgDAoEGD8Nxzz+HHH3/Ek08+iQ4dOoh+v7qFiETFiWjL8x9fs2YNnnnmGbz66qvYunUrPvnkE3z++ed46qmnYr7nrFmzUF5ezv0VFRWJ3g69kWNZFn6dsYLEK+VkyDjkz7BNNVxyMoo4yzK/omNKVvg2TmYJeW5cppNBvouEdPgFdXnFaYmihFdGhwybZyEjWF4JyzK5WR6S8mtqzqOBEMMJamLhCvM6bDv/dVKEQLlZJnKEOCVyVOSs3ymzQ0cJIU6WZRkvw4YgCEIo7208inUHz8Bps+C9OwaRGEMkPaIqBPv27cPcuXMxduxY2Gw29O/fHwUFBUhLS0NZWRn27t2LPXv2oH///nj++ecxbtw4tcZNEIQChEIMfvztDJb8eATf/HKKe/ziTk3x4Ogu6N26kX6DIwzNo48+CpfLBQB4+umnMWHCBFx88cVo0qQJPvroI8Hv07RpU1gslnrdMKdOnarXBcOSn58fdXmr1YomTZoAAB577DFMmTKFy6Xp2bMnXC4X7rzzTsyePRtmc30B0+FwwOFI7a4QOZZlAFukkO5rnmpwHTIyMmTkhBKnGnI6sLIMZllWJVMc5SzeDJK5Q0iHLc5azCY4JJyHZBfmZQgirBgk55ojJ09DbpaILMsyXjHb4wvCYRX/HvLEKHbbJeaY1KzbbjXDKmFSmFxhwMN1qMjozFIgP0fK+iMTOuSJUXoIcfzXpqplWSwCgQD279+P3bt3c38rVqzQe1gE0SA4etaFv/3vFwDAI+O6orAl2ewTyY+oK3xubi5eeOEFPP300/jyyy+xbt06HDlyBB6PB02bNsXNN9+MMWPG1AsaIwgiuThx3oN/bzmOjzYXofi8BwBgMgGju+fhzks6ol/bxjqPkDA6Y8aM4f6/Q4cO2Lt3L86dO4fGjRuLst2w2+3o168fVq9ejWuuuYZ7fPXq1bjqqquivmbIkCH47LPPaj22atUq9O/fHzZb2Ifc7XbXE10sFgsYhuG6aRoiShWB5RQpUgm22J0lybKMF4btDcButSs2rmTEHwzBGwjP4pYi+GUYTGBgv0NSuq8A3v4yiIAlBiqa1YbLULFZJNlepXPnfXldItIK0/I7FSKiiPQ8DbmWZVIK41aLGXarGb5ACC5fEI3Sxa/fLcsyjRUlJH7uXHaPtKJ8hl2/Dhm5OSpy8nMAwGmTJwS6FRDiAiHpk0nkCELJwqFDh7Br165a15EDBw4gEAjAbrejW7duMTNmCIIQz1Of74PHH8SQDk0wZXBbvYdDEIKQ9CsuLS0NkyZNwqRJk5QeD0EQKuEPhvDNvlP4aPMxrD1wmvNlzk6z4pq+LXHr0Hbo0CxT30EShiZRTllubm6tfwvNKZs5cyamTJmC/v37Y8iQIXjjjTdw7NgxTJs2DUDYSqy4uBjvvvsuAGDatGl45ZVXMHPmTEydOhUbNmzAm2++iQ8++IB7zyuvvBLz589H3759MWjQIPz666947LHHMHHiRFgsqfsDMhGyLcu4IHFj5KK4ZHTI2CxmOKxmeAMhVHkDaJzRsAUZvpAiKUMmzZgZMlLs3YCI6GV0QYaKZomRWxyVLUp45RSHI50KUnJUZBfG7fI6FeR0aYRfZ4EvEOLeRyyyRAnZdm0165ZoWyW3S0UJyzKp65abnyPX8tQto1uVv7/cPmmTSdjOLKn3mnrz+9//Hh988AFMJhPS09Phcrkwfvx4PP744+jZsyc6derUoH8rEITWfH/gNL7edxJWswlPXV0oycqXIPQgNa9yBEEI5tDpKnz0cxGWbzmOM1U+7vHBHXJx44A2GFuYjzTy6CWSgAEDBmDixImYOnUqBg4cGHWZ8vJy/Otf/8JLL72Eu+66C/fcc0/C973hhhtw9uxZPPnkkygpKUFhYSG+/PJLtG0bnj1TUlKCY8eOccu3b98eX375Je6//3784x//QEFBAV5++WVce+213DKPPvooTCYTHn30URQXF6NZs2a48sor8cwzz8jcC8kNZ1kmM0PGKJZllTIFrKw0K7xVPkMUzdltTLOZJWWW8S3LpAZYpxJc14LEQi1baDPKdzEaVDQThhzbKv7r5GaJyBEFQky4yC32ftcbCIGRURhPlynIyBEFgPD3/LzbLznYXk6wvFOuZZnMYPcM2fuezc+Rblkm16oOkCZIyV2/HBHWZjHDZjHBH2TgltiZxWUXpejv03//+99YuHAhbr/9dgQCAcyePRuvv/46unbtigkTJtB1hSAUxO0LYM6newAAtw5thwua0wRjInUgQYYgGiAeXxD/212CDzcXYdPhc9zjTTMduL5/K/yuf2u0b5qh4wgJoj5q5pRNnz4d06dPj/rckiVL6j02fPhwbN26Neb7Wa1W/PWvf8Vf//pXwWNoCLCdLZI7ZAwUJM4wjGwBKyvNhjNVPlQawIaL3casNJuk17MdMgwTLial6sxaoXDdV2RZJhkqmglDjm0VoEBx2C99/fzXuH1B0YIMf8xybLv0sM0C9C3My7XtkiMGhV9XIwhJPMfJ6dDh26VJmSDAdtZIzc/JkCmGyRdhrSj3+GULUqmaIfPQQw/hlltuQVpaGgDgpZdewi233IJp06bh448/xqJFizB27FidR0kQDYMnPt2LQ2dcyM9Ow72Xd9J7OAQhioafEEsQBmJ3cTke+89uDJz7NWb+awc2HT4Hswm4vGtzvDGlHzbMugx/HtuVxBgiKWFzyk6cOIFFixahc+fOOHPmDA4ePAgAuPnmm7Flyxb8+OOPosQYQjlcMm2SjFQEdvuC3MxqKZZlAC943etXalhJS2V1eBulildOmwWsQ4ERji+XTHGULMtqF80yMzPx0ksv4ccff8R3332H7t27Y+XKlXoPMSmQm+XBiRJ+7bNELGYTHDUZFlKK0+xrHFYzLBIsUDhRQOq2y7Qsi3SJSA22l5Gfo5QYJLFLglu/xH0vRxRgBaxAiIEvGNJ03fzX6dEdVHv94o87hmFkibDJwFNPPYXMzNqz9Pv164dNmzZhxowZuOGGGzB58mScPn1apxESRMPg/Z+O4qOfi2AyAfNv6I0cp7RJXQShF6l5lSMIgqPc48en24vx0c9F2F1cwT3eOteJG/q3xnX9WiM/J03HERKEOCinLHmJhNRL7GJwyAuaTSXYQrfZJL2gxBbNjdAhUyUjbwcATCYTMh1WVFQHUFkdQF62kqNLPiIdMvLEUalWRg2Bp556qt5jbNHs5Zdfxg033IDx48fjpZdeQrNmzXQYYXIgO0NGpj2e/PVb4A2EJF135HaocIVpnbZdTocMwzCyulTSZV7vOTFIougc2fcyu5MkrJ+/vzy+IBxWaZ1ZUoSw8Prlnd8j69deEPIGQgjWBOikS7y+JSsmkwn33XcfrrvuOtx7773o2rUrzp49q/ewCCLlYBgGS9YfwROf7QUA3HNZJwzt2FTnURGEeGQJMn6/H6WlpXC73WjWrFm9wGWCINSBYRhsPlKGDzcdwxe7SuANhGdf2S1mjO6RhxsHtMHQjk0o0IwgCEWR3SFjN86sfFZEyXRYJeeZsAKWkQSZLImCTPi1NlRUBwxxfFX5pIcuA/zuqwBCIYbuF3hQ0aw2boUyZORalskpTpe5pdkn6W7X5pVXGJdjXSU3WF5OlwQQse2SLMTJFITkiFE2ixl2ixm+YEhSjooSIiQAePwShUCvfMsyQJpdndz8nGTg2LFjaNOmTcznW7ZsieXLl+OLL74AABQXF6Nly5ZaDY8gUpoqbwCP/2c3PtlWDAC485IOuH8kWZURqYnou8uqqiq8//77+OCDD7Bp0yZ4vV7uuVatWmH06NG48847MWDAAEUHShAEcLrSi0+2HsdHm4tw6IyLe7xzXiZuGNAG1/RtidwMu44jJAiiocIwDFcElp5bEf5xXWUAgcHFCQzS2+fZ1xpBYKiolnds8V9rhOOLE/xk2uEB4YK3nP2eqlDRTBhsd4d0QURmlohClmlSulTcckUBuZZlfrYwr70gJDc/h+0MlWtZJrUon26TJwjJtUxz2i3weUKyrPL0FkHlHncuKdtes267RVp+TjIwYMAATJw4EVOnTsXAgQOjLlNeXo7i4mIUFhbirrvuwj333KPxKAki9fjul1OYvWIXTpRXw2I24aExXXDXJR0kT3wjCL0RdZV98cUX8cwzz6Bdu3aYOHEiHnnkEbRs2RJOpxPnzp3D7t27sW7dOowaNQqDBw/GwoUL0akTqZUEIQeGYbDht7N4/6dj+GpPKQJsG7fdgit7FeCGga3Rt3UjuhARBKEq/EwUyq1ITJXMbiKAb1nW8DNkqjhBRrqAlWmg44sVZKQKfmk2M8wmIMSE970RBRkqmglDvm2W3BwVmd0CrD2fjNn6cq2bPJIzXOQV5iMdMlIEmUiwvLT8nPCYWQsqse8hO0dFIcs0OaKI1GB7+fk5Ndsu0bJM/nEnXRDi1p3CdmX79u3D3LlzMXbsWNhsNvTv3x8FBQVIS0tDWVkZ9u7diz179qB///54/vnnKReTIBJwtsqLJz7bi093nAAQtub/+/V9MLA9OTQRqY2oX1/r16/Hd999h549e0Z9fuDAgbj99tvx2muv4c0338TatWtJkCEIiZS5fFi+9TiW/XSsVjdM79aNcNOA1pjQu8CQBRSCIPSB7fgwmaT/SGeLx0YQGCoV6PjgBCwDdHxUecPHhBzLMr4NV0OH/Q5J3V/8zB0j7K9oUNFMGB6FLMskixKsZZnULBEZnRIuhayjZHeJyM6QEb/t8sWoyOflkdCF5+IK8/oGy8vNsJGS4yI7P6dGzHBLtSxTKDdKSlcau79S1a4MAHJzc/HCCy/g6aefxpdffol169bhyJEj8Hg8aNq0KW6++WaMGTMGhYWFeg+VIJIahmHwn+3FePKzvShz+2E2AXcMa4/7R3WWbCVKEMmEqKP4448/FrScw+HA9OnTJQ2IIIzO7uJyvPXjYXy+swS+mmyYDLsFV/dticmD2qBHQY7OIyQIwohwoet26Zkoxgypl9HxYaAMmUjHhwxBhhOwjCP4ZcsUsCqqA5LD1lMdKpoJI2KfJLcwLk2UYI9Pqd0CbJeirNn6MsPVpdq1uThBRp5NqBRRQO6602xmmEwAw4SPIbGCjEeuZZlCwfJyRQkpOS6y83M4mz553UFSbQo5IVBCV5xcMSiZSEtLw6RJkzBp0iS9h0IQKYfLG8DsFbvwn+3hrphuLbLx7LU90atVI30HRhAKQrIiQSQBoRCDb385hX/+cAgbD53jHu/WIhu/H9wGV/VpSd0whOHw+/0oLS2F2+1Gs2bNkJtLbcl6ErHgkhe6DhhDYGBFgSw5mSisgGWAgnmVAoJMliE7ZGRavJUbY3/FQ+mi2ffff4/nn38eW7ZsQUlJCVasWIGrr7465vJr1qzBpZdeWu/xffv2oWvXroqMSQ5KBXxLsQwLhhh4ayYnSe8SkWPbpUyHjJQsDUC+dZQcQUhufo7JZEK6zQKXLxg+hrLErl+ZLg05VnWAPoKQ3PwcOVZ1AK87SaZlmZTjjhWwGtLs961bt2LdunWw2+0YNmxYTLcZgiDClLl8uOWtTdhVXA6L2YQZl3fCtBEdYUvRXCmCiEXDudIRRAriD4bw7y3Hsfj7Q5wtmdVswvheLXDr0HaUDUMYjqqqKrz//vv44IMPsGnTJni9Xu65Vq1aYfTo0bjzzjsxYMAAHUdpTCIdH/ItuCoM0MHAFoHkWZYZx+KtQoEMGVYsNIKApURHUYaBBKxoVFZW4oknnsDnn3+OM2fOICcnB126dMGwYcNw7bXXokuXLpLe1+VyoXfv3vjDH/6Aa6+9VvDr9u/fj+zsbO7fzZo1k7R+pZFrmyXHsszDm2EvdTIAl2ch4Th3y7TtYsWEan8IoRADs8gcFaX2vRRBSG6GChAWw1y+oCxRQu7nLuW4UyJYXk6XilzLMva48/iDso47ublRkjqzZArAycaCBQswc+ZMNGrUCFarFWfOnEGPHj2wZMkS9OvXT+/hEUTSUVHtx02LN+KX0krkZtjx+pR+GNCOJmUSDRNFBJlAIID9+/dj9+7d3N+KFSuUeGuCaJAEQwz+s60YC745gKJzHgDhosrkgW1w69B2KGjk1HmEBKE9L774Ip555hm0a9cOEydOxCOPPIKWLVvC6XTi3Llz2L17N9atW4dRo0Zh8ODBWLhwIeWUaQj7I1leh0ykACylSJBKsAVzWfvLQAVzNkNGjuDHZcgYoAMrIsjIt8Qzwv6Kxi233IJt27bhrrvuQrNmzeB2u/Hwww/j6NGjeOyxxzBhwgS8+uqraNmypaj3HTdunKS8mebNm6NRo0aiX6c2bHHaKde+SEpRnpdd5rBKK4zLs0+SN1s/o06OitjrgVumbVi6jE4FucHytdYvwbbLLbNLg/3cpWW4yOsOAng5KpKyi+StX+5xJ1eMk/O5KyEE6s1bb72FPn36oEePHpg7dy7+9re/4aGHHoLJZEJRURFef/11jBgxAv/73/8wbNgwvYdLEEkDwzCYtXwXfimtRPMsB5ZNHYQLmotsrySIFEL03d2hQ4ewa9euWuLLgQMHEAgEYLfb0a1bN2rDJIg4/HToLB79z24cPFUFAGia6cC04R1w48A2ZEtGGJr169fju+++i3kNGThwIG6//Xa89tprePPNN7F27VoSZDSEK5g7pP9Izq4pHjNMuOAgp5ic7CghMBgxc0eWZVmaMQSsYIhRZH+x9xxS7ZRSnVWrVuHHH39Enz59uMdmz56Nzz77DFarFc888wwGDhyIH374Ae3bt1d9PH379kV1dTW6d++ORx99NKqNGYvX663VQVpRUaHauNjitPRwd/miQLrNIrljPENGwLjcDpXaOSpSBBllLMukfMfZdcuZVKCEbZf07CA2w0XGcSdLkJEuBMrNz+Efdy5fQNRn6AuEEKjJz0m3aZ8bJVcETQaef/55/PrrrwCAUCiEzZs348UXX8SFF16IPn364Omnn0bLli3x4IMPYuPGjTqPliCShw83F+GLXSWwmk1445b+JMYQDR5RV7rf//73+OCDD8KesOnpcLlcGD9+PB5//HH07NkTnTp1gsWSurMZCEJNylw+zPvfPvzr5+MAgEbpNkwb3hG3DGmb0jedBKEUH3/8saDlHA4Hpk+frvJoiLpEQsSliyhpNgvsFjN8wRAqqxu4IMN2MCiQIWOEDoZKJfaXQTo++IKTEoKMEQS/aOTl5cHlckV9rk2bNnj99dcxd+5c3Hffffj0009VG0eLFi3wxhtvoF+/fvB6vXjvvfdw+eWXY82aNbjkkkuivmbevHl44oknVBsTH7bDQO5sfVlZGnJEAYecDh15hXmTyQSnzQK3LyhakAqGGFT75eXnKNIhI8uyTPq+l23bZWM7ZCR0qChgmyXHskzucc/P7xH72fM7emTn90jZdn/qd8js27cP1dXV2LVrFy6++GKYzWb861//wmOPPYbq6mq0atUKHTt2xLZt2/DZZ5+hsLBQE9GfIJKZM1VezP1iHwDg4bFd0Kd1I30HRBAaIKr3+9///jcWLlyIqqoqnDhxAn/605+watUqbN68GW3btiUxhiBisPbAaYx6cS0nxtw0sA3WPngppg3vSGIMQRApQYUn3PEhR5ABjNP1oUzmTk2GTAPv+AAiIoosyzL22Grg+4vNFLJbzXBYpd97RzKKGvb+isV9992H22+/HTt27Ii5zM0334xvv/1W1XF06dIFU6dOxYUXXoghQ4bg1Vdfxfjx4/HCCy/EfM2sWbNQXl7O/RUVFak2Pg9XIFUmz0IMcjtEgEiXgSRBRqZdGyA9x4Xf2SHdskx6sL3c/Jzwa3W07aoRM7yBEIIijzslguWdSgiRMvN7APGiCLtum8UEu0SbwAyHDKu6BpIhk5aWhgEDBuCiiy5C7969sXHjRlRWVmLnzp2YN28eOnfuDL/fj9tuuw0dO3aslR9GEEbk+ZX7UekNoGfLHNwxrIPewyEITRB1l/HQQw/hlltuQVpaGgDgpZdewi233IJp06bh448/xqJFizB27FhVBkoQqQjDMHjpm4NY8PVBAEDnvEzMm9QT/dpSMBlBCIVyypIDNnQ92ylPRM5Ks+Ksy4eKBh5UX8mF1MvvYPAFQvAGgrKK78lOJWfBRZkoiYh0q8n7LrLf5Yb+XYzFfffdh5MnT6Jfv34YOXIkrr76aoRCoVrWWB988AGaNm2q+dgGDx6MpUuXxnze4XDA4XBoMhb5tlmR14nNs1Akx8QhXRSQa9cGSO8SYcdrMoUtqKQgr0NGCVFCfoeMEsedW6RFqhKCSIZdhiihgBCZ4bDgTJX49SvxnXPKEUF98kXQZOLvf/87RowYgUOHDmHatGno3bs32rRpg61bt6KgoADHjx/H8ePHsXv3br2HShC6seVoGf61JTyxZM7E7rA04IxRguAj6kr31FNP1XusX79+2LRpE15++WXccMMNGD9+PF566SU0a9ZMsUESRCriD4bw5+U78cnWYgDA7we3waPjuyNNxg0uQTR0KKcseVGuQ4adld+wi8Ds7F4lQuqBsMjgyGyY1w9vIAhfIGzNI0fAMkqGDGfvJvO7yH6X2e+2EZk7dy6uueYavPDCC3jggQfg8XhQWFiI5s2bo6KiAtXV1ViyZInm49q2bRtatGih+XqjITtHxcovjEsTZJTIMZHSJSLXrg2IdImIFUX4OSKS83Mc0rpzAGVzVOTlB0n77B1WM8wmIMSE1y9KkFGgS4M9ZiTZdikoiohdv1yrOCAi4kmxa4t0JzWM+50+ffpgy5YtmDZtGgYPHgyGCXdrWa1WvPXWWwCAVq1aoVWrVnoOkyB0w+ML4qGPd4BhgGsvbEUTlwlDocjUA5PJhPvuuw/XXXcd7r33XnTt2hVnz55V4q0JIiUJBEO4/6Pt+HxnCSxmE56+uhA3DWyj97AIIqmhnLLkJlIElt8hw3+/hkqVAh0yFrMJGfawD3xldQBNMrWZEa81/I4WeR1F4YJbwxdkwgKK3O9ittPYlmUsAwYMwEcffQSfz4etW7fiwIEDqKioQNOmTXHZZZehefPmot6vqqqKC3QGgMOHD2P79u3Izc1FmzZtMGvWLBQXF+Pdd98FACxYsADt2rVDjx494PP5sHTpUixfvhzLly9XdDulwDAMrzAv7Xgzm8M5Kh6/9DwLeZ0K0gQRgJ9noUSXiLjvWUQM0sk2S8kcFZHrD4WYiFWeQ3p+T7rdiipvQLQYxx13Mq5HGQ7p+14JUUTq+uVaxQG83CZJ3UENw7KMT8eOHbF69WqcPHkSGzduhM/nw+DBg9G6dWu9h0YQusIwDJ75ci8OnXEhL9uBxyd013tIBKEpoq7yx44dQ5s2sYvKLVu2xPLly/HFF18AAIqLi9GyZUt5IySIFINhGMxesRuf7yyBzWLCopv7YWT3PL2HRRBJD5tTdvvttyMQCGD27Nl4/fXX0bVrV0yYMIHEGJ1hbY3YIq5U2CJyRQMvArOiQIZM242sNBtcvmCDFhki+8oiy6aA7UYyimWZUuKoUS3L6mK32zF48GAMHjxY1vv8/PPPuPTSS7l/z5w5EwBw6623YsmSJSgpKcGxY8e4530+Hx588EEUFxfD6XSiR48e+OKLL3DFFVfIGocS+IKR/A1ZXSKOsCAjtkCrSKeAxAwXQBnLMq5LxC+yU0GBTgF23L5ACIFgCFaLcOszJfJznDZpokDt/Bx5+77KGxAvhvG6k+SsG9AnP0fO+jkxSIHcJCkiqMsrXwRNVvLy8nDVVVfpPQyCSBpeXH0ASzeG74f+dm0v5KTL+41JEKmGKEPaAQMGYOrUqdi0aVPMZcrLy1FcXIzCwkJ88sknsgdIEKnGO+uP4KOfi2A2AQtvupDEGIIQCD+nLDMzEy+99BJ+/PFHfPfdd+jevTtWrlyp9xANDVmWCYdhGFR4lMncyTRA0ZzL25EpMHCZO8Fw5k5DheuQcZBlWTIyYsQIMAxT74+1PluyZAnWrFnDLf/www/j119/hcfjwblz57Bu3bqkEGOA2gVVPeybFOkUkNEho4RlGStKSA1XV2K/AxGBRShKiFFcuLtIUYAv4KTJyE6T2qEjN78GkJejosT6pW67ImKQxGMeaHiWZQRB1MfjC+Lhf+/Ay9+Gu4n/emV3XNpFXDcyQTQERN3d7tu3D3PnzsXYsWNhs9nQv39/FBQUIC0tDWVlZdi7dy/27NmD/v374/nnn8e4cePUGjdBJCVbjpbhqS/2AQD+ckU3jC3M13lEBJE6UE5ZcsN2tCjVIdOQbZK8gRB8wXAmSo5C+6shd30olYnCtzurbMCZOxUKdciwYmFD71YjpMN2CtgtZthEdFfUhS3QihVFlCgOR8QgCR0yfuUybKRalskpTNstZljNJgRCDNzeoKgJFYqIURLze/iChFlG12S6RMs2TgxTwDJMTn6OvC4VdtuliWGyusJYIc4fRCjEiPoMG6JlGUEQEb7bfwpPfRa2KTOZgNlXdMMfLmqv97AIQhdE3Vnn5ubihRdewIkTJ/Daa6+hc+fOOHPmDA4ePAgAuPnmm7Flyxb8+OOPJMYQhqPaH8RD/96BYIjBxN4FuGMYXVgIQgnYnLK9e/fC6/Wia9eueg/JkCiVW2GEDpnymo4Ds0m+ZRkrMhjBskxOfgwQztzJqnmP8gbc9aGUgEUdMkQiPAoIIvzXS7VPkmMdlcErDouFHa8cy7RIl4hUyzLp50WTySTZso3tqJElCtikbbtLgewg/uvdIq+fXIaMDlZ5/PwcZSzLRIpRXvnHHf9zE/u9czdgyzKCMDJHzrhwx5LN+MPbm3HojAvNshx4/45B+OPFHfQeGkHohqQrXVpaGp577jl89dVXyM7OVnpMBJGSLPz2IA6dDl9cnrqqECaT9BldBEHUp25OGaEdtS245BaBG36HDGfv5rTJmt0LRIrmDXl/KSX2AeF9XukNNGiRocqrzP5iv8veQAjV/iDSZBQfiYaJUrPVpeaoKNGpwHbn+IMMfIEQ7FZh8xGDIQbV/nCnozzrqppOBYnbLlcMy7BbUVkdEC2KRArzckQBeV0acrc9XWKwvSLHncQcFSXzcwAJ266AGJRmtcBkAhgmvH4xHWZszpTcz54giOTA5Q3gle9+xZvrDsMXDMFqNuEPF7XDPZd3km2DTRCpjuTe859++gnV1dX1Hq+oqMBDDz0ka1AEkWocL3Nj8feHAQBPXVVIgWQEIQF+yHE8xo8fDwAoLi5WczgED74FV7ZCQeINWWAoVyhvBzBWh4xSggxglA4Zmd9FhxXs3JGG/H0kpKOcICOtMK5EpwS/sCumOM4vjCthWSa6MK+AdRR//WIt25QQRZwSRQElguXDr5fWmeVW4LjLkGmXBsjNz5Emhilx3JnNJq6rTOpxT5ZlBJH6fL7zBC77+xosWvMbfMEQLuncDCtnXILZ47uTGEMQkCDITJo0CX/7299gMplw6tSpes+7XC7Mnz9fkcERRKqw4OuD8AVDuOiCJpQbQxASGTBgAKZOnYpNmzbFXKa8vByLFy9GYWEhPvnkEw1HZ2wqFLTgMoJlWUXNtsnNjwEiQfcVDXh/sWKAXMsyAMgxQC4Ku7/k/pg1m03cPm/IxxchnUhhWt53U6oooERx1m41w2YJK49i7KPYDhGTCXAI7KqJhlS7tkiGi8x9X2OZJrZDR8n8HLGdUUpkB/FfL7lDRgExis1REYpy+TmsXZvIfa/UcSfVKk8hMa6hsmjRIvTq1QvZ2dnIzs7GkCFD8L///Y97nmEYzJkzBwUFBXA6nf/f3p2HR1WebQC/Z8+ekIQkBBIIi+yboAiK4AZiRa222qqorVotqKXU2lpti9ZCP2spVqpWq2Jdqq37QlFcABVBVtn3QFgSQkKSSWaSWc/3x8w5MyHbTHLec2Ym9++6uFrDMGeZmZzkvc/zPJg6dSp27Nih4x5Td+T2+vHbd7bjrlc344TdheLsFDx703i8+KOzMDAvTe/dI4oZUV/p+vbtiw8++ACSJGH06NHIycnB6NGjMXr0aIwaNQpbt25Fr169ROwrUUzad6Ieb206CgC4bzpnWxB11q5du7BgwQJceumlsFgsGD9+PAoLC5GUlISamhrs3LkTO3bswPjx4/HnP/+Zs8o0ZA+bWdHVFlzdqkImuesLCvL5akjg82VXWpZ1PcCSQ4rErpAJHFuaGhVFSRbUN3kT+vNInada66hOVomEFsa7ujhsRl2jJ6qFeWXbFlOX2hCHFqajbR2l0hwVuWVa1AvzXZ+fI79uegRxQGhRP+pzr8L77vQ5KpEGW6rNz+lkuzZ5dlHXK7PMANxRbd/vl1T7npOo+vTpgz/96U8YOHAgAODFF1/ElVdeic2bN2P48OF49NFHsWjRIixduhRnnHEGHnnkEVxyySXYs2cP0tPTdd576g58fglzXt2EFTtPwGAA7rpgIOZcMJBtcYlaEfVPGX/9618BADabDV9++SWOHz+OzZs3Y8uWLXj77bfh9/vx6KOPqr6jRLHqmdUH4ZeA6cPzMbooS+/dIYpb2dnZeOyxxzB//nwsW7YMy5cvR1VVFRobG5Gbm4sbbrgB06dPx4gRI/Te1W7HruaMj24wE0Wet6NGhYwcUiRyxUedU72KIvk5EnmGjFoty4BAi7djtY0Jfb6o89RqWaZUKkQ9R0W94e6BQCaKChkV5ogAoVBAt5ZltugrdHx+CS5v1+fndDWIk+fvdH372rcsC5+j4nB7Iw5kVAtBLZ2rUAlVyGgfwjZ51Zmfk8hmzpzZ7L//+Mc/4qmnnsLatWsxbNgwLF68GA888ACuvvpqAIHAJj8/H6+++iruuOMOPXaZuhFJkjD/vR1YsfMErGYjnr7xTFw4JF/v3SKKWZ3+KcfhcMBsDvzzK6+8UrUdIoonVQ0uvLvlOADgjikDdN4bosSQlpaGm2++GTt27ED//v313h1C2JB6FSoY5EXkRF4AVvN8ZXaDmSjysWWpMH+tewUyalQUsWUZtU2tWR5dr5BRa45KNBUy6oRBurcs60TbLrXn53Q2iEu1qTO7qPMVMl2fo+J0+6KbXaTW/Bxb1z5zXXndgdD7Pqo2gWH72pXKrO7C5/Phv//9LxwOByZOnIjS0lJUVFRg2rRpymNsNhumTJmCNWvWtBvIuFwuuFwu5b/tdrvQfafE9OG2cry09jAMBuDx68YwjCHqQKcb4sphDFF39uq6Mrh9fowpysKZxT303h2ihHH22Wfj0KFDeu8GBcnVGeq04AosIje4vVH1VY8ncsCgRsVHlhzION1dfq5Ypeb5yugGAZaaFWtKBVZj4lZgUeepNcujswPG1WxZBoTaMWm77U4ON1erZVknhsurPz9H3yBOz1Z54c8XCfXm53QujFLrfdeZyjC5rV6ypWvzcxLdtm3bkJaWBpvNhjvvvBNvv/02hg0bhoqKCgBAfn7zRfD8/Hzl79qycOFCZGZmKn+KioqE7T8lpqoGF373bmBe0d0XDMSMkRxjQdSRzv+ERdTNeX1+vLz2MADgx+eV6Lw3RInlnnvuwf33348jR47ovSuE0MwKNStkJCkQyiQiecE8Q40WXCmJHzCEZu6oWCGToBUffr+EBpeaLctYIUNtU2uWR6fnqKjYsgyItkJG5XZtUR67vK9qHXtn2rWlWs1dnJ8T+P7i9vrhi+IGDNValtnk1137lmXh/z6ac6/e/JzOtWtzhIUiXdGZ971ac5MS3eDBg7FlyxasXbsWP/3pT3HzzTdj586dyt+f/pmVJKnDz/H999+Puro65Q9//6Jo/f7dHTjlcGNIQTruunCQ3rtDFBdY5kLUSav3nURlvQs5qVbMGFGg9+4QJZTvf//7AIDhw4fjiiuuwNSpUzF27FiMHDkSVqtV573rfuS759VokZRkMcFqMsLt86O+yatKyBNr1AwY5AqZ2m4QyKg5QyZRAyyH2wspuK6pxmcnIynxW7xR56k2z6KzlQoqhxJR3a2v2qJ8J4erq9Q6Ss8qjfBz53R7I/4ZQr2WZcHXPYqWaT6/hCZP1+fnhP/7qEIJlcKo5E6GoOq97zofBHb1fZforFYrBg4cCAAYP3481q9fj8cffxy/+tWvAAAVFRXo1StUnVBZWdmiauZ0NpsNNptN3E5TQvtwazk+3FYOk9GAx74/GtYuVFYSdSf8pBB10psbjwEArhzTGxYTP0pEaiotLcXbb7+Ne++9F06nEwsXLsTZZ5+NtLQ0jBo1Su/d63ZCFR/q3Mch39lfn6B35csBVoYKFQzhM1EStsWbMzhDRpWWZYFznqiBjHxcVrOxS62EZBkJXlFEXaMsjHexdVNyJ1qWSZKkBANdXhy2ye2bOtOyTJ1KhahnyKgciuhRpWEzGyF3nupMKKFWy7BoKmTCwxu12tVFd+zqBoHRhqDqtynUfn5OdyNJElwuF0pKSlBQUIAVK1Yof+d2u7Fq1SpMmjRJxz2kRHa0xonfvbsdADB76gCM6J2p8x4RxY+YWEVeuHAhzjrrLKSnpyMvLw9XXXUV9uzZ0+wxkiRh/vz5KCwsRHJyMqZOnYodO3Y0e4zL5cLdd9+N3NxcpKam4oorrsDRo0ebPaampgazZs1S+mPOmjULtbW1og+REkyd04MVO08AAK4Z11vnvSFKPH379sWVV16J3/3ud3jrrbdw4MAB1NbW4tNPP213KCWJoeaQeiA8ZEjMlmUiZqL4E7TFm88voT64WKZmhUyivrdqw8KrrrQSksmhYaKeL+oa1WZ5WKKvUHF5/ZAzaLW235nF4a4uynd1jkpXF6e7UqXR1WM3GAydm2Gjesuw6LdtMABJlq4tlXRmdpJTpQqVVKVCxgtJivxmDrVCkc6cezk4Y4VM237zm9/giy++wKFDh7Bt2zY88MADWLlyJW644QYYDAbMnTsXCxYswNtvv43t27fjlltuQUpKCq6//nq9d50S0PHaRlz/7DpUK63KBuq9S0RxJSYCmVWrVmHOnDlYu3YtVqxYAa/Xi2nTpsHhcCiPefTRR7Fo0SIsWbIE69evR0FBAS655BLU19crj5k7dy7efvttvPbaa/jyyy/R0NCAyy+/HD5f6AeB66+/Hlu2bMHy5cuxfPlybNmyBbNmzdL0eCn+fbDtONw+P4YUpGN4Ie8CINJCeno6Jk+ejDlz5ui9K91OfVOw4kOFBXMgNBelJkEH1as5QybJYlIWheRKkkQS3ipLjfMlh4aJXiGTlaLOZ1E+54larUZdo1rLMlvnQwGg68GAvLgdzcK42pUCrqjnqKhbKRHd/Bz1Znkkd6JCR735OZ0Ig+RtW0xdDr07E8Y5VDr38rYlKfDe03r7nakMk6uTutqqLpGdOHECs2bNwuDBg3HRRRdh3bp1WL58OS655BIAwH333Ye5c+di9uzZGD9+PI4dO4aPP/4Y6enpOu85JRJJkrBsWzkuf+JLlJ1yom9OCpb+6GzYzPzsEkUjJupBly9f3uy/X3jhBeTl5WHjxo04//zzIUkSFi9ejAceeABXX301AODFF19Efn4+Xn31Vdxxxx2oq6vDc889h5deegkXX3wxAODll19GUVERPvnkE0yfPh27du3C8uXLsXbtWkyYMAEA8Oyzz2LixInYs2cPBg8erO2BU9x6/9vjAICrz2R1DBElPjlgUGOIOBBqTZWIAQOgboWM/DxNHhfqGj0oUuUZY4d8rlKtJlXaf2aGBQx+vwSjsetVJLEkVCGjziwtZYZMEytkqCX17pbvfJWEzWyEqYuf487crR86dvXmqDR6fEiLsPJBrfk58uJ2o0f7dm3hzxFNdZT6c0w6McNFhbZZSigRTRjmUut9F9p/h8uLJEvHz+dXcX5OcmdmF7nUmZ+TyJ577rl2/95gMGD+/PmYP3++NjtE3YokSfhkVyWWfL4f3x6pBQAMKUjHc7echYLMJH13jigOxUSFzOnq6uoAANnZ2QACswQqKiowbdo05TE2mw1TpkzBmjVrAAAbN26Ex+Np9pjCwkKMGDFCeczXX3+NzMxMJYwBgHPOOQeZmZnKY4g6UlnfhHWlpwAAl43s1cGjiYjin9oty7JSAovJtY2JVyHj90tocMkzZNRt8ZaIVR+1KodXid7iTf7MZKpWISO3LEu89xZ1nZ5zTNRq3dRs+1FViaizMG8zGyEXWjgjnGUiSRKcHrVCic5UyKgXyCR3ol2celUa0VdGycGVGlUanQkllHPfxdfdZDQoc8Yi3b6I+TnRBHHKzCpWyBDFFK/Pj3c2H8OMx7/A7f/agG+P1MJmNmLOBQPw7l3nondWst67SBSXYu72A0mSMG/ePJx33nkYMWIEAKCiogIAkJ+f3+yx+fn5OHz4sPIYq9WKHj16tHiM/O8rKiqQl5fXYpt5eXnKY07ncrngcrmU/7bb7Z08MkoU/9tWAUkCxhZnoU+PFL13h4hIuFDLMpUqZIKLybUJWCFT3+SF3K5dtfMVrIZIxPOlVBOlqFPxkWQxwWo2wu31o87pUS0UixXhM2TUEKqQSbz3FnWdWsPdO7UoL8+TiODO/o4oFTqe6EOBrlYqGAwGpFrNaHB5Iz7+8PZmas1R6czCeFcX5YHOtYtTa4aNHCQ2enwRV0yGqjS6/r5TKmSiqk5S530HBM69y+uO+H3nUHV+TmiGTaTUet2JSB0urw//XleGZ78oxbHaRgCB7003TuyL287rj57pNp33kCi+xdzV7q677sLWrVvx5Zdftvi70/u4SpLUYW/X0x/T2uPbe56FCxfioYceimTXqZv4cGs5AODyUYU67wkRkTbq1K6QCQYMNQkYMMgL20kWo2q9lDMSuEIm1N5NvR9JM5MtOFnvSsiQQe0ZMnJlkr0x8aqJqOvUqpSQ/70cNETSgizUtkq9tlmRVqiEb1+tOSrRBDJqzs/p2sK4iue+U4GQOu3aJAlo8voiOpd6V2Y5VGyZFgpCI3vtlfe8CvNzOtOmUK0QlIi6buPhU7jvja04cDIw1zsn1YpbJvXDrIl9lU4HRNQ1MdWy7O6778Z7772Hzz//HH369FG+XlBQAAAtqlgqKyuVqpmCggK43W7U1NS0+5gTJ0602O7JkydbVN/I7r//ftTV1Sl/jhw50vkDpLhXUdeE9YfldmUFOu8NEZF4kiSF7spXaRFYfp66BGxZpvb8mPDnSsQWbyLPVyIGWLXOwHtArV+G5ZC10eODO4rBz9Q9qHXHevjidmOEVSpqLkyn2DqzOKzi9pVKjcgWxtWdnxPY/+gqZPRtWabMUeliKJIUdlNE5GGYOmEQ0LmWZY2qVshEd+6V6iAV3/NRVUapNDeJiLrmw63l+MEza3HgpAO5aTb84aoR+OrXF+LuiwYxjCFSUUwEMpIk4a677sJbb72Fzz77DCUlJc3+vqSkBAUFBVixYoXyNbfbjVWrVmHSpEkAgHHjxsFisTR7THl5ObZv3648ZuLEiairq8M333yjPGbdunWoq6tTHnM6m82GjIyMZn+o+/pg63FIEnB2v2z0ymSvTCJKfE63D25fYKG2h0o/hCdyyzK15+0A4QFW4p4vNQOZjCR5LkriVX2oHY6mJ5khr/cmYuBHXaPW4nRn5qio2bopJcpKAUDdhfFoQwkRVRrRVcjIs4NUDKMiPHZJklSbIWM0GqKuUlFmB6nRsswWXRAHhEKRrs6QAaIPhNScn9O5yij1jp2IOmf59nLc/e9N8PgkzBhRgE/nTcGsc/oiSYXviUTUXExc7ebMmYNXX30V7777LtLT05VKmMzMTCQnJ8NgMGDu3LlYsGABBg0ahEGDBmHBggVISUnB9ddfrzz21ltvxS9+8Qvk5OQgOzsb9957L0aOHImLL74YADB06FBceumluP322/GPf/wDAPCTn/wEl19+OQYPHqzPwVNcef/b4wCAmaN76bwnRETaqAnekW81GVW7a1Gp+EjEQCbYJitDQMVHIg5elys+RFTIJOT5kluWJasTjhqNBmQmW1Dj9KDG4UFeepIqz0vxT5IkpZoluYvf+w0GA1IsJjjcvqhDCTXmSaREWSkQ/tiuHjsQFopEGAqoOz8n8BxNnsjbxSmBkA5VIi6vH8HxOaq1THO6fRHPcWlUMQyTX79IX3dA3Qqd1CirVNScn9O5yiy2LCPSU0VdE+57Yyv8EnDd+CIsuHpkl6s0iahtMRHIPPXUUwCAqVOnNvv6Cy+8gFtuuQUAcN9996GxsRGzZ89GTU0NJkyYgI8//hjp6enK4//617/CbDbj2muvRWNjIy666CIsXboUJlPoov7KK6/gnnvuwbRp0wAAV1xxBZYsWSL2ACkhHKpy4NujdTAZDZgxkoEMEXUP4Xfkd7WnuEwud0/Eig+hLcsSMMAKzURRrwVCQs/cUblCBghUvtU4PUr4SgQEFvAlZWFcnbv1owlk5FBCnUX56FtHqRkIyYv7kVZKqDk/5/R2cWkRBA1qto6KdrC9mvNzQs/hjjwMU6qD9AklHCq2i4u2SkXNyqxkJYSMojpIxc8cEUVHkiT88o1vYW/yYlSfTDzy3REMY4gEi4mrnST/tN8Og8GA+fPnY/78+W0+JikpCU888QSeeOKJNh+TnZ2Nl19+uTO7Sd3cB1sD1TGTBuQgN82m894QEWlDXqRVq11Z4LkszZ47kchtsuS2WWpI5JZl8jEJqShqSrzzJbcVUzPw65FqBaocSrUSEdC8xZWalRq6hBKdmWeh5iyRKFuWqbkwLbeLk6TAMUUUyCiVUdoPtpcX8NWYnxO+/UhDkUYVq4Pkyqxo2sWFtq9WGBV5KCJ/NlUJ4pR2bdHMDlJv+0QUnZfWHsYX+6pgMxux6NoxsJhiYroFUULjp4woQu8F25VdMbpQ5z0hItJOjYA78uV2S063Dy5v5L+sx4MalYeuAwle8SGwoigRz5faM2SA8IA08c4XdZ68MJxkUXdhPNpQItmi4t36Og22jzYUUDMMMhgMyuJ+xHNUXCrOz4l6jol6VRpA9DN0HGrOz7F0YX6OinNcIt2+Q8XKqJTg59bjk+D2+iP6N5whQ6SPAycbsGDZLgDAby4bioF5aTrvEVH3wECGKAJ7Kuqx90QDrCYjpg0v0Ht3iIg0I981n52qXsCQnmRWBjwn2qJ5jYDzlZXALcvkY1IzkJHDsEQLGJo8PriCC1tqBn7yc51ysEKGQtRs2RV4nujmaSjzJFSpkAkcg9vrh9fX8eKwJEkqt2+KLpRQ+9wnd7J1lZrzcyKtjFKzVV3geaJrG6ZmECe/dyI972q3CVQqZKKsDlKnRWHo/EUbRHKGDJF2qhpcuO3FDWjy+DF5UC5mndNX710i6jYYyBBF4L1vjwEApgzuqeqiERFRrKtxqD/jQx4kDoRmYiQKeVG7h4qBTCIPqbcLqJDJTg1WfCRYwCCHV2ajQdUFK7lChi3LKJy8OKpGuzIgbGE8ylkiai8OOyNooeT2+eELTpZXM5SIdn6OGmEUEH3LNjWrVDobBqnRsguIvkJGzZZlyVFu2ymqTWDU1UFd37bVbITFFLjzJtL5QZwhQ6St8rpG3PLCNyitcqB3VjL+8v3RMHJuDJFmGMgQdUCSJLz/bTkAtisjou4nNENG3TBaqfpIsJBBDrCyVQyw5LCi3uWN6O7ueCJXSGWpORMlQSs+5PkxWSkWGAzq/cIsh4eJVlFEXROqEFEnFIh+YV69SonweSSR3K0f/pgUFRbGow1E1KzSAKKv0JEDITVDAT2qc8K3H3HbLmX76s3PibY6J9liUqdNoDLDRvv5OUD0s5M4Q4ZIGz6/hLc2HcVlj3+B7cfsyE614qVbz0ZeRpLeu0bUrfD2A6IOfFN6CmWnnEi2mHDR0Dy9d4eISFOhQEa9gAEIVtxUOxOuiuGUfL5S1Z+JAgD2Jq+q7dD05PH5lYUidStk5IAhsd5bctindqWu/NlOtM8idY1TxYVpoPOL02rNUUmxmFDv8kY04Fz+vmQ1G2FWYbCx3i3Loq6QUbNtV9Qtw9StDpLnkUTaKq9RxbZZ8uvn9QfmqFjN7b+XHCqGkED0M2zU/syn2sywN3kjml0kSZJSvabG/BwiakmSJCzfXoFFK/ZiX2UDAGBE7ww88cMzUZKbqvPeEXU/DGSIOvDyujIAwFVjC1lCTUTdTo2AIeLhz5d4FTLqz5Axm4xIs5nR4PKi1ulOmEBGDkwMBiBDQIVMtcMNSZJUrSbRU51SIaPu6y9XvyVagEVdo1SoqNayLNq75VUe7m4LBDKRbL9R7YXxqMModbcfTXVS+MK4mi3LIm3bFRosr9LrLldpRDzDRv35OUDgNbWa2//erRy72mFUlC3LVKuQiSIIDJ+fo1a7OiIKkCQJK3aewOOf7sOO43YAQEaSGXdMGYDbJpfAZmYISqQHXu2I2nGy3oXl2wPtym6YwAFnRNT91IqqkEnAGTJ+v6QsaqvZsgwIVNw0uLwJtWiuzNtJsarSnkWWkxY4926vH063T7UFXb3JM2TUbO8GhAKe2gT6LFLXNarcsiw0YFz7eRah7bsiCiWUhXGVwqhoFqabbV+1CpnIh7u7vGLm5+gVRsmhRCRVGkBofo4a595iCsxR8fgkON0+ZKV0sG1B83MiDUHVrIxqtv0I5jY5VJ6fQ0QBq/eexP8t360EMalWE26d3B+3nlfC2chEOkuM31CJBHl9fRk8Pglji7Mwonem3rtDRKS5GgEtuICwReDGxAkY7E0eBNexVK9iyE614cipRlQ3JM75OtWgfjUREFjMsZmNcHn9OOVwJ04gE6wmy1S5Wi1RW7xR16g5SwOIfmFe1OJ0JIGQ0jJMreqcaBfGPSq37ZK3H0G7NrXn53R2hoxqFTI6zi4KPI8ZdY2eiMI4tVuWRdsuzqH6uY88DJMfk2wxcag4kQocLi9+/94OvLHxKIBAEHPLuf1w23n9ldmBRKSvrjfFJUpQTrcXz391CABw00RWxxDFsyeffBIlJSVISkrCuHHj8MUXX7T7+FWrVmHcuHFISkpC//798fTTT7d4TG1tLebMmYNevXohKSkJQ4cOxbJly0Qdgm5qHXLLMnV/eJfvykqku/Llio90m7nDXvHRyklNvEH11QLauwGBeRGJGDKEKmTUnucUah8o3xlP1Khyy7Jo2mYBAuZpRBEIyYGI2gvjER972OK0GuQWWBFVBwXPu9rzcyIPBdRtmxXt/BynS1CVSATHHwqD1AlEom0XJ6pVXyTn3qlyCEnUndU43Ljhn+vwxsajMBiAWyb1wxe/uhC/nD6EYQxRDEmMWwaJBHjp68M45XCjb04KZo4q1Ht3iKiTXn/9dcydOxdPPvkkzj33XPzjH//AjBkzsHPnThQXF7d4fGlpKS677DLcfvvtePnll/HVV19h9uzZ6NmzJ6655hoAgNvtxiWXXIK8vDy88cYb6NOnD44cOYL09HStD08oj8+P+uAdtaq3LEtJvEAmVE2k/i87csBQnUCBjBwu5Qg4Xz1SrCiva0qoAEueIaN2iwk54JEkwN7o4S/rBCB8wLdOA8ZVXxiXh7tHUKmg8rajbVkWGmyvcqVCBNtXu22VHIi4fX54fH5YOgh51N5+chRhmNrzc4BoAxm1z32UYZiK83OA6I5d7TZ9RN1Vk8eHWc+vw/ZjdmQmW/DMrHGY0D9H790iolbwikfUCofLi2dWHwQA3HXBQFXuECMifSxatAi33norbrvtNgDA4sWL8dFHH+Gpp57CwoULWzz+6aefRnFxMRYvXgwAGDp0KDZs2IDHHntMCWSef/55nDp1CmvWrIHFElgc7ds38Srp5LDEYFB/EVgOeBKpguFUsJpIxIK2PBclkVqWiaqQCX/ORHp/ya+9/F5Qi9VsRJrNrMwoYiBDQGgRVe0ZMpGEAiIXxhsjmGfRKKhtVuRzVPSs0lC3VVz44r7T7UNmcvu/U4UG26s1PyfyMEzt+TlAdO97OYRU6z2vVMhEEEICoc+G+kFgNNVBrJAh6oqFy3Zh+zE7slOteO0n5+CM/MS6WZAokXCVmagVj3+6D9XB6pjvju2t9+4QUSe53W5s3LgR06ZNa/b1adOmYc2aNa3+m6+//rrF46dPn44NGzbA4wksuL/33nuYOHEi5syZg/z8fIwYMQILFiyAz9f2L50ulwt2u73Zn1hXG1zMzkiyqDp0HQgtmCdSBUONHDCoPOMDCG9Z5lL9ufUiH4uIChmloigBA6xclQMZIDQjqiaBKtaoa9RunyS3zdJjsDwQXiET+eKw6pUCEYRBge3rN0fFofKxW01G5eeHSAIpp8oty6Jplaf2/Jxot6/2uZfD1EhCSCDsfa9WqzwliNS+Ko2oO/ps9wm8+PVhAMCia0czjCGKcQxkiE6zu8KO574sBQD8fuYwVscQxbGqqir4fD7k5+c3+3p+fj4qKipa/TcVFRWtPt7r9aKqqgoAcPDgQbzxxhvw+XxYtmwZHnzwQfzlL3/BH//4xzb3ZeHChcjMzFT+FBUVdfHoxJMXZ3uICBiCi8pVCbRgfkpoyzIbgMRsWcYKmchUNQQDrDSb6s+tVKwl0PuLukZpWab64qw+C+NRLQ4rVSLat80KPE79wfLhz9setVuGGQwG5TWMbLC93DZLpQoZWxRVGsHgQq35OUB4hU401UlqtQkMHLvHJ8Ht9Xe8fZUrdJQQNIq5TWptm6i7aXT78Nt3dgAAbj2vBFMH5+m8R0TUEa40E4VxeX345X+3wueXcOnwAlw4JL/jf0REMc9gaF7dIUlSi6919Pjwr/v9fuTl5eGZZ57BuHHj8IMf/AAPPPAAnnrqqTaf8/7770ddXZ3y58iRI509HM3IC+ZZKs+PAYCewUXlUw5XwgwSD1XICGhZloAVRXIYly0wYJDbyCUCpWWZgAArKwFbCFLXqD7LwxJ5KKD2YHkgugodtVuWKXNUvH54fXosjOs3xwSItkpF5QqZKMIgp0v9tllKGBZB2zC1q9LCK206CkLD2wTq0SqPFTJEXfP3z/fjWG0jemcl4xfTztB7d4goArwFgSjMIx/swrZjdchKseD3VwzTe3eIqItyc3NhMplaVMNUVla2qIKRFRQUtPp4s9mMnJzAUMRevXrBYrHAZAr94jh06FBUVFTA7XbDam25YGqz2WCzqb/wLJLcskxEhYxcReKXAtsRcde/1uSwhDNkIiOfLzEty4ItuBIkwGry+NAQXNATUyETOF+1bFlGQXIootYsj2gqZNSuFAg8VzTzLNQdbt5sjorHh4x2QiZJkkLnXvUKmWhmeai3TJBqMwP1rugW5tWaISNXyETUqk7d+TlAWBgVQdswp8qhhNVshMVkgMcXeE9ltvOzXHibQLUDmUiq0kKt6rg8RRStLUdq8Y/VBwAAv718mKrfv4lIHFbIEAW9tPYwXlob6Ln51+vGoFdmss57RERdZbVaMW7cOKxYsaLZ11esWIFJkya1+m8mTpzY4vEff/wxxo8fD4sl8Mvsueeei/3798PvD93punfvXvTq1avVMCZeiWzBZTEZkRVcHEiUNlxydYHIFlynHG6lYiveKYGMkJkowfOVIBUf8mfEYjIgI0n9X7SViqIEOV/UdUqViMotwyJamFa5QqXZ9qNaHNZ+jorL64dcNKr2wngkw91FVMjoee7D33cdXTvVnuEChI4jkiBS7RAUiDyMa9YmULXZRZG3LJODODXPPVF3UOf0YM4rm+DxSbhsZAGmD2eHF6J4wUCGCMA7m4/hd+9uBwD8/OIzcAF7bhIljHnz5uGf//wnnn/+eezatQs///nPUVZWhjvvvBNAoJXYTTfdpDz+zjvvxOHDhzFv3jzs2rULzz//PJ577jnce++9ymN++tOforq6Gj/72c+wd+9efPjhh1iwYAHmzJmj+fGJdLI+MLOiZ7qY6pXc4J3+VfWJMaheqZAR0rIscK7cPr9SKRHPfH5JkwArUSpkquX5Mam2dtstdpbSEi+BKrCoa9RemE+JplJBZOuoqCpk1FmYNhgMEbdvcgpYGI9muLuIQEbP6iT5OHx+Ca4O5qio3aYPCL2HHFFV6GgfhoXPz5HDQ7W2HdHcKI+6bfqIuoMahxs3vfANjtU2ojg7BX+6ZpSQnxGJSAxe8ajbW/pVKR76YCckCbhpYl/cc9FAvXeJiFR03XXXobq6Gg8//DDKy8sxYsQILFu2DH379gUAlJeXo6ysTHl8SUkJli1bhp///Of4+9//jsLCQvztb3/DNddcozymqKgIH3/8MX7+859j1KhR6N27N372s5/hV7/6lebHJ5I846OnoHZiOalW7AdQlSCL5jXBdk8iAoZkqwnJFhMaPT6ccriRnqR+Gzkt1TrdkG9WFhFgZSfYzB1lfoyAaiIAyA2GricbEiMcpa5TFubValkWrLRx+/zw+PywtNO2S+1tA/pWaQSey4z6Jm+HVSry39tUXBiX5/dEFgqo37IsuRMVOmq1rgo/jka3D0ntVHyJrA6Sh9a3R2xlWAdBoEv993xyFJ85h4AQliiRbSqrwb3//RYHTzrQI8WCp248Exlx/rsBUXfDQIa6LZfXh4ff34lX1gUWYmed0xfzZw7nXQVECWj27NmYPXt2q3+3dOnSFl+bMmUKNm3a1O5zTpw4EWvXrlVj92LWyfomAOIrZKoTZBFYXvyX55eoLSfNiqM1jahqcKNvTqqQbWhFPleZyZZ2F2Y7KztsSL3fL8Go0sKmXqqCn5FcQeGoHLpWJchnkbrOqfYcE1vYHBW3D5nJbX/uHQICkc4MtlezfZJ8/B22jhJQKaBUyEQURgmokImwQqfZ/BybOts3GQ2wmY1wef1wuL3ttmAVEUaF2sVF0rZLZGVYBxUyAsKgzlRGcYYMUfsaXF78eflu/GvtYUgSUJCRhJduPRuD8tP13jUiihJbllG3tO1oHa76+xq8sq4MBgPwy+mD8fCVw+N+wYaISE2iK2Ryg3f7J8IisMfnR11joEJGRMUHENZWKgGqPuSZKDkCqokAICv4GvglwN4U/4PqqwXO2wFCoevJBGkfSF2nhBIqzZCxmowwRzhHRUylQvTD3UUsTjs6WBgXsSgfPli+ozkqag+WDzxXZBU6Lq9fqZwUEYro+r6Lqm2X9kGkQ+UAFgivkIk8jOIMmfYtXLgQZ511FtLT05GXl4errroKe/bsafYYSZIwf/58FBYWIjk5GVOnTsWOHTt02mNS0yc7T+CSRavw4teBMOaaM/vgfz+bzDCGKE4xkKFupdHtw8Jlu3Dl37/ErnI7eqRY8MItZ2HOBQNZGUNEdBrlrnxBFTI5SoVMAgQMwWMwGw3CAplQG674XzQPVROJOVdWsxHpSYGFsKqEeH+JrZCRP+NVDa4OF2wp8YXP21BrgTZ8jkpHoYSQ1k1yhUpEraMEVuh0EEqInOEiSUCTp/05KvIsEbXm5wS2H1nrqvCWZmoFgUDkw+XFVgdF0rZLYMuyDt53IubnpEZYFQaICaMS0apVqzBnzhysXbsWK1asgNfrxbRp0+BwOJTHPProo1i0aBGWLFmC9evXo6CgAJdccgnq6+t13HPqikp7E+a8sgm3/WsDyuuaUJydgpdvnYC/XDu63ao/IoptrAmlbsHnl/DO5mNYtGIvjtU2AgCuGF2I380cJmxxg4gonrm9ftQGZ6IImyGjVMjE/4J5ZbC9W26aTVi1ZXZqMMBKoAoZUYEMEKj6qG/yorK+CQPz0oRtRwvyZ0RURZFcrebxSahr9CgVRtQ9hbeWUrd1lhn2Jm/HoYSQ1k2RLUwDglqW6RhGhYcbDre33eNqFBFG2SKrkAmvylJrfg4QxWB7EfNzLJG3LFO7TSAQOvcdhmEiQlBLZNsGwivDuDzVnuXLlzf77xdeeAF5eXnYuHEjzj//fEiShMWLF+OBBx7A1VdfDQB48cUXkZ+fj1dffRV33HGHHrtNXfDh1nLc/9ZW2Ju8MBkNuH1yf/zsokGsJiNKALziUULz+yV8ursSj320B3tOBO4KKcxMwh+uGoGLhubrvHdERLGrOliFYTYakJksZiZKbgLNrai0B44hL0NcyC8vmidCRdEpwUPqASAv3YaDJx0J0YZL/ozkCApHbWYTMpMtqGv04GS9i4FMNycHIgZDYLi8WiINJUQsDkczz6JRSIWO3DIt0lBAvcU2o9GAZIsJjR5fh2275OBAzcW+SCtkRFSoAOHnXr+WZR2dd79fElMZJgdCHc0uEtiyrNHj63CWG2fIdE5dXR0AIDs7GwBQWlqKiooKTJs2TXmMzWbDlClTsGbNGgYyccTvl/CHD3fiha8OAQBG9s7En64ZieGFmfruGBGphlc8Skgenx8fbD2Op1ceVIKYjCQzZl8wELdM6ockFcvgiYgSkbyILbLiQwkYEqAF18nggrmoaiIgvGVZAgQywddcZIVMXnoSgFBYFs+qNQiweqbblECG/ci7N2Vh2GJStaVvaoR36ytVGiq2L4pmcVjEPA0llOhgsL2ItlWB5wsEMh1W6HjUXxhPjrBlmHLeVW5bJYcSHZ17IfNzImyV1+QNr0pTs21YZIGQiKow+TgkKXB87b2n5deed/1HTpIkzJs3D+eddx5GjBgBAKioqAAA5Oc3v/E0Pz8fhw8fbvO5XC4XXK7Qz0p2u13AHlOkfH4Jv3zjW7y16RgMBmD21AGYe/EZsJg4cYIokTCQoYRyrLYR/91wBP9ZfwTH6wLtY9JsZtx4Tl/8dMoAZKaIucubiCjRhObHiFsAzklNnBkyWlTI5CRSRVEw8JNDExHygnNR5HZy8UwOLXNTxVZg7a8MhYvUfYUWZ9UPBYCO2zc5RCwOhx1Lo8fXZis2v19S5qwIGe7eYZWG+mEUEAgGqh0dVwiJaBcnh1GNHYVBLjFVEsosk46qkzz6zXCRPxMGA5BkVj+IjLRVnprnPvw4nO72Axk5MOIMmcjddddd2Lp1K7788ssWf3d6kC5JUrvh+sKFC/HQQw+pvo/UOX9dsRdvbToGk9GARdeOxpVjeuu9S0QkAAMZinturx+f7jqB19Yfwep9JyHPos1Ns+JH55bgxnP6Cmu3Q0SUqKrqAyGJyDlb8iBxp9sHp9sb173D5UX/ngIDhvxg2JMIFR8n7IHzlS8wwJLDsXhvWSZJkkYVMoH3bryfL+o6UaFAqG1YRxUyAhaHLUYYDIG79R1ub5uBjLj5OdHOkFG7SiS6tl2qzs+JeIaMmCqJ5Ajb1QmZXWSJcNvysVtMqlYlh8Iw7c99Z1rlsWVZZO6++2689957WL16Nfr06aN8vaCgAECgUqZXr17K1ysrK1tUzYS7//77MW/ePOW/7XY7ioqKBOw5deSLfSfx95X7AQCPfX8UwxiiBMYrHsWt/ZUN+M+GI3hz49FmA44nDcjBdWcVYfrwArYmIyLqJC1acKVaTbCZjXB5/ahucCMlO35/LJEXsXumiztf+RmBBfMTCVDxcUKpKBJZIRNsWRbnAYO90QuvP3C3idBARqnAiv+KNeqa8OHqaop0YV5E+yKDwYAUiwkOty8QSrTRlU/etvrzcyILRBwCBssDYa2zOgrD5JZlaoZRUc6QUb1CJsrtqxtGRdYqT8T8GCCKdnEuMRUqqbaOW+X5/JLyvmPLsvZJkoS7774bb7/9NlauXImSkpJmf19SUoKCggKsWLECY8eOBQC43W6sWrUK//d//9fm89psNths4n5+pcg4XF788r9bIUnAD88uxnfH9un4HxFR3IrflQ/qlpxuL5Ztq8Dr68uw/lCN8vW8dBu+P74Prh1fhL45qTruIRFRYlBmyAgMGAwGA3LTbDhW24iqBheKslOEbUu0UAsugYFMMGCodXrQ5PHF7U0HkiQpFUX5QgMZuWVZfAcycjiabjPDpmIrm9PJ7QlZIUPiqjQiXBgXdLd8stUcCGTaWZxuFDU/J8LWUaHqIJXPvRJKdLQwH6rUUG/bUc6QUb1CJrJjFzE/J/xY2muVJ64qLbJ2cY3CAqGOz32zqjRWyLRrzpw5ePXVV/Huu+8iPT1dmRmTmZmJ5ORkGAwGzJ07FwsWLMCgQYMwaNAgLFiwACkpKbj++ut13nvqyJMr96PC3oSi7GT8fuYwvXeHiATjFY9iniRJ2H7MjtfWl+G9LcdRH/xFwWQ04ILBefjBWUWYOrgnzBxyRkSkGi0qZIBA4HOstjH+F801CGQyks1KRdHJ+vgNsGqcHnh8gYoPke+vPKXFW3xXFCnt3TLFhVdA6LXgDBlq9MiLw2KqNDpamJcHoKs93D3VZkJVQ/uBkBJGqX3sEbbNkisV1J/f0/H2fX4JLq+I+TmRzXAJzRFRu0JGv5ZlSWaT0irP6W47kFFed5VvtEiOcG5TaH6OmFZ57bUsc4ZVpSVZ+Pt8e5566ikAwNSpU5t9/YUXXsAtt9wCALjvvvvQ2NiI2bNno6amBhMmTMDHH3+M9PQ2ygIpJpRVO/HsF6UAgAe/Myxub7oiosgxkKGYVef04N1vj+G1b45gZ7ld+XpxdgquO6sI3xvXR+idtURE3VmVBhUyAFCQYcO3CC06xyNJkjRpWWYwGJCfkYSyU06csDfFbSAjv9Y5qVZYVWwJdDp5Joq9yRvXFUUVdYHzVSD4Zx75vVsV5+EodZ2oxWF5YbzDeRauUJWKmpItHd+t7xRUpaGEUR2FEh4xlRIpEbTtCv87MfNzIg2jRFXIRDi/R8Vjl+eoyLPygNZ/RghVyAgKozzah1FAZO/78Io4NavSEpEkD8tth8FgwPz58zF//nzxO0SqkCQJ97+9FW6vH+cNzMW0YW3P+yGixMFAhmKKJElYV3oKr68/gmXbypW7tKwmIy4dUYAfnFWEc/rnqDrskIiIWqrSqEJGXmSWF53jUV2jB25f4HolMpABAucrEMjE76K5HMiIPlcZSYlRUVRhF9/eDQByWSFDQY2iWpZFGEo4RC1O2+RKiY4rZISFUR0sjMuhhOozZCKoEpFfd1HzcyIdLK92u7ZQu7jItq/6+94qBzLtBYGCPnMRVieF5ueo/b4LzdBpi4iZUUTx5PX1R/DV/mokWYx45KoRDCaJugkGMhQTKuub8ObGY/jPhiMorXIoXx+cn44fnF2Eq8b0Ro9UcYNsiYiouVDFh9jvvQWZyQDiO5CR261lpViEzvgAQm24KuK4okg+X6IDBoPBgJ7pNhytaURlffxWFCkVMpliAyy53V51gws+vwQTb37ptkQtzkbcOkr04nQ72w8NNxezMN1RGCUyFADan2Ejnxe1KxXk193t88Pt9bdZGSlqsH3kgZCYMC6wfXf777uwc6+miOfnCArDIgkCQ+87BjLU/Wwqq8FD7+8EAPziksHol8t5yETdBQMZ0o3PL2H13pN4bX0ZPt1VCa8/UIKbajXhijGFuO6sYozuk8k7BIiINNbo9sHeFPjlPE/worm8yBzXAYNdm2oiIBRixPNclEql4kP8+cqTA5k4riiSPxtyeClKdqoVBgPgl4BTDrfwCiaKXfIMF1GD5dsLBSRJErgw33GlhNwyTO1AJFSdo08YFRrurn2lQvjzNbp9bQYyDh3bxYXPzxEVxrVbmSWoZVgkVWGBvxfTLi6SIFLU550o1m07WocfvbAejR4fzj+jJ358Xoneu0REGuLUNNJcpb0Jf/t0H877v8/wo6Xr8dGOE/D6JZxZnIVHrxmFbx64GAuvHoUxRVkMY4iIdHC8rhEAkGYzIyPJInRbBRnxXyFzsiGw73kaBAxyiBHPM3fkdmtazIHLC86RqYzjuSjyay16hozZZFRCxXj+POpt9erVmDlzJgoLC2EwGPDOO+90+G9WrVqFcePGISkpCf3798fTTz8tfkfbocxwEbU43M6AcbfPD1/wJq0U1eeoyJUSkSwOa78wHb59tUMBudqpveHuolrVWc1GWE2BZYd2K3Tk952gQKS9tlnhgYXaxx9JlUpofo32c5PC/17tCp2UCIJAOYxSe24SUaySJAlvbTqK7z29BnWNHowtzsLTN57JymSiboa3IZAm5NkwL609jI+2VyjVMD1SLLj6zD647qwinJGfrvNeEhERAJTXBhZje2WKXzCXt1Fhb4IkSXEZxMvVF/Liv0hyiJEIM2REV18FthEIGCrr4zdgUFqWaXC+emUlo7LehWO1jRjZJ1P49hKRw+HA6NGj8aMf/QjXXHNNh48vLS3FZZddhttvvx0vv/wyvvrqK8yePRs9e/aM6N+LIHqeRCSL8gCQonrrKDkUaW9xWMzd+uEVMu1d6+TARvUZNjY5lNCnUiHZaoK70d9+lYhHTOuqFCWManvboubnAOGt+to7995mj1Vt28H3ncvrb7cVpbhWecFjb3eGjJjvN0SxqKKuCQ++sx2f7DoBAJg6uCce/8FYVogRdUP81JNQTrcXb2w8ipe+Pox9lQ3K18f17YFZ5/TFjJEFwvvtExFRdOQKmQINAhl5G85gm7TMZLEVOSLI4YgWLZ6UQCaOA4YT8gwZDc6XPBclXluWeXx+nGwIni/BM2QAoHdWEr49ApQHvwdQ9GbMmIEZM2ZE/Pinn34axcXFWLx4MQBg6NCh2LBhAx577DEdAxkxd6xH0rZLDmusZiPMJpUXxoPbb79SQkzrJvn5vH4Jbp+/zd9/GkVVyFgiCKMELcoDgZClrtHTQRgmdn5O++3axMzPASKrkHEIbhkW2L4X6W1UPYcqdAS1a2u3ZZmYFolEsUSSJLy2/ggWfLgL9S4vLCYD7rpgEO66cCArY4i6KQYyJMQphxsvrjmEF78+hFqnB0DgB7KrxvbGjRP6Ylhhhs57SEREbZErZAoFz6wAgCSLCVkpFtQ6PThhb4rLQEZevC7UIMAKzZCJz4ABCJ8ho935itcZRSfrXZAkwGw0IDdVfCDTK/iZL2fLMs18/fXXmDZtWrOvTZ8+Hc899xw8Hg8slpbfE10uF1yu0PcAu92u6j41uMTcrR9J265GgQO+Q6GE9ovD4dU+Tpev1UBGkiQlkFJ7+5HMEhHVrg0ILfRHEkqoPzvI3Oz5W+MUND8HiGx+j1PQZ85mNsIYnA3mdPtaDWTC5+eoXZUWVbs2VghQgjpyyolfv7UVX+2vBgCMKcrCo98bxQ4xRN0cr3qkquO1jXj2i4N47Zsjyt1nfXNS8KNJ/XD1uD7CZxEQEVHXyQFDryzxC+ZAoBVTrdOD8rqmuPzl5Fht4Hz17pEifFtyxUeDy4sGlxdpKt/NKprfLynzXLQIZHpnBQIG+TWKNxVh4ZVRgzso5RaCx+P0fMWjiooK5OfnN/tafn4+vF4vqqqq0KtXrxb/ZuHChXjooYeE7VNojomg9kU6LMoDYW27IqjQUbtCxWwywmY2wuX1w+H2okeqtcVjXF4/gl2dhVXoRFSlofKiPBAKJSJq26X6+67j111oEBjB/B5RM2QMBgNSrGY0uLxtvvbN5ueoXRUXwWeeM2QoUUmShFfWlWHBsl1wun1Ishhx77TB+NG5JayKISIGMqSOOqcHf1+5H0u/OgS3L3CHzYjeGfjplIG4dEQBLzhERHHkeJ12FTJAoG3Z7op6nIjTu/LlxetCDQKsVJsZ6TYz6l1enLA3Ia1nmvBtqqna4YbPL8FgAHLTWi5Iqq13j8B7+HhtY1zOKJI/E/kZ4qtjAKAwK3S+SDunvy8lSWr167L7778f8+bNU/7bbrejqKhItf1xuMSEEqlhM2Ta+jyKbJulLIy3EwrIi+ZqVyoAgfPp8rrbDAbCF61Vn2ETxcK4iKA/sioVORASc+xunx8enx+WVlrhiZxjorTtimB+j4j3XYrVhAaXt83KMHnbJqMBVpXbBCZHEMSJatdGpCePz4/fvbsd//7mCADg7H7ZePR7o9AvN1XnPSOiWMFAhrrE55ewdM0h/O3TfahrDLQmm1CSjbsuHIjzBubG3cIHEREB5bXaV8gA8dkmqcnjQ1WDG0CoGkO0/Mwk1Fc2oKKuCQPiLJCRF/rz05NUnw/RGnlGUZPHj1MON3LStAk21CJXyGgxzwkIVcjE42cxXhUUFKCioqLZ1yorK2E2m5GTk9Pqv7HZbLDZxL2XGwQFMnLbKkkKfCZbW4B1usTMsgDCqzTaDgVEHTsQWBg/5Wg7lJAXzG1mo+o3s6VEsjAu8Njl6od2Z4kIqpRIbjZHxYfM5JbXnlDLMH1aljkEtkxTKoTamJ2kVOdYTKr/7p4SUcsyMe3aiPTi90uY+9oWfLitHEYD8OsZQ3Dbef01qXQmovjBqx51WmmVA7/4zxZsKqsFAAzOT8evLxuCqWf0ZBBDRBTH5MXYXhpWyADxOedDDhhSrSbN5t/0zkrG/soGHKuJvyqGo8F97tNDm/eWzWxCXroNlfUuHKttjL9Apk67eTtAqELmhL0JXp9fk9Csu5s4cSLef//9Zl/7+OOPMX78+Fbnx2hB1N364a2wnG5vq4vP8sK02rMsgCgXhwW0T1KqVDqoVBAVBgW23V4YJW77yR1UyEiSBKdHTLs6q9kIi8kAj0+C0+1t9VotMoiLpGVZo9AKGXn7rb/v5K+r3a4MiLAyS+DsIiI9LP50Hz7cVg6LyYAnbxiHS4bld/yPiKjb4W9ZFDVJkvDimkOY8fhqbCqrRZrNjAXfHYllP5uMCwbnMYwhIopj9iaPsjChRQsuIFQhU1EXfwHDMaVdWbJm1z85zDhS49Rke2o6GtxnrQIZINS2LB4DLKVCRqNApmeaDRaTAX4Jyqwfik5DQwO2bNmCLVu2AABKS0uxZcsWlJWVAQi0G7vpppuUx9955504fPgw5s2bh127duH555/Hc889h3vvvVeP3QcQvjit7gKpyWhQQpm2FmiVhWkBi8ORzLBpENiyTF7wbiuUENmuTQ4anB6f0hLvdA4NqkTaCqOaPH7IuyXite/ofecQ2q5NrlBpr22XuFCkoxk6IiujImpZJjAIJNLaF/tO4m+f7gMALPjuSIYxRNQmBjIUFZfXh1/891v8/r0daPL4ce7AHHz08/Nx/YRizokhIkoA5bWBBeDMZIuQocqtKYjjNknHwwIZrRRlpwAIVZvEk1CFTIpm25Rfm2NxOBdFDpG0en8ZjQalGodzZDpnw4YNGDt2LMaOHQsAmDdvHsaOHYvf/e53AIDy8nIlnAGAkpISLFu2DCtXrsSYMWPwhz/8AX/7299wzTXX6LL/Hp8fbm9gHqSYOSqhOTKt0WSWh15tu5RAqP0KGTHzcwLP6fNLcAVf39M53CLbtYUCofa2DQBJZoGBVBtVKg6B515+zvYqZJRWfSK2b2u/OskhsGWY/JzttWsTGUQSaanJ48MDb28HANx4TjG+P1692W5ElHhiIpBZvXo1Zs6cicLCQhgMBrzzzjvN/l6SJMyfPx+FhYVITk7G1KlTsWPHjmaPcblcuPvuu5Gbm4vU1FRcccUVOHr0aLPH1NTUYNasWcjMzERmZiZmzZqF2tpawUeXOBrdPvx46Xq8tekYTEYDfnv5MLz04wma9cwnIiLxjgerVHppNLMCaB4wtHXnbqw6FgywemtY8SFXlxyNwwqZIzpUyPSJ40BGPl/F2RoGWMFWhcfjMCCNBVOnToUkSS3+LF26FACwdOlSrFy5stm/mTJlCjZt2gSXy4XS0lLceeed2u94UPiCtciF+bYWp0XO8oikQkZkpURyBwvzSusoEWFUWAu4jiolRBx7RzNkwgMJEXMWOqrUEBnEpUQQSogMReTXvrGNYw+1qhMXBLYVBoX/nVY3ARGJsuSz/Sg75UR+hg2/unSI3rtDRDEuJgIZh8OB0aNHY8mSJa3+/aOPPopFixZhyZIlWL9+PQoKCnDJJZegvr5eeczcuXPx9ttv47XXXsOXX36JhoYGXH755fD5Qhf/66+/Hlu2bMHy5cuxfPlybNmyBbNmzRJ+fImgyRMIY77aX41Uqwkv3HIWbj2vhIPJiIgSjFwho2Ug0zsrGQZDoE1OjdOj2XbVIFcwaHlzglxdcuRU/AUMelTIxGvLsiaPDyfsgbZhWgYyvYKtCsvjMMCirmsILtpaTUZYzer/qthRlYqoOSLNtt3OYHmx8zTaP3Z56LqIhXFz2OvZZnWSwNZRKR3MkHF6xIVRQMezTIS2LJPDqDZalvn8Epo8gaolMRUyHbTK06BdW3tVaY1ucSEskVb2V9bjH6sPAADmzxyO9CR9ZsARUfyIidsQZsyYgRkzZrT6d5IkYfHixXjggQdw9dVXAwBefPFF5Ofn49VXX8Udd9yBuro6PPfcc3jppZdw8cUXAwBefvllFBUV4ZNPPsH06dOxa9cuLF++HGvXrsWECRMAAM8++ywmTpyIPXv2YPDgwdocbBySJAm/fGMrvj5YjTSbGS/++CyM65ut924REZEA5XKFjIYBQ5LFhPz0JFTYm1B2yonsVKtm2+4qua2TtoFMcPB6fRNcXh9sAtq7iCBJki4zZOSKj3irkJHPVZrNjKwU7X6x7yVXyMTZ+SJ1OAUGEkBosb+jChmRC9PyHJXT535JkqQsWotZmO8oFAi2a7OICiVMcHv9bVZqNAh87TtamHcIbNkFhFfItHXsAsMoeX5NG+/5Ro/oqrSOjl1gm77gc3p8Etxef6shr/Lac4YMxSlJkvCbt7fD45Nw0ZA8XDqiQO9dIqI4EBMVMu0pLS1FRUUFpk2bpnzNZrNhypQpWLNmDQBg48aN8Hg8zR5TWFiIESNGKI/5+uuvkZmZqYQxAHDOOecgMzNTeUxrXC4X7HZ7sz/dzd8/34/3vz0Os9GAZ28azzCGiCiBHa4OLAL31fCOfCBUAVB2Kr7acB3TYYZMTqoVyRYTJClU0RQPqh1uNHn8MBhCVRhakCtk4i1gkCugirJTWiwciySfryNxVlFE6lAWZwVVKnRYISO3LxISCgSOSZKgVCSEc3n98PkDbTPFzJBpf36OU5nhIiaU6LBKxS2+UqLNIE7wHJGOzn2oQkbc/Jo2X/fgtg0GwCagKk2pDmqjMkxkZVR41YujrXZ1nCFDce7vn+/HN6WnkGwx4aErh2v6MxsRxa+YD2QqKioAAPn5+c2+np+fr/xdRUUFrFYrevTo0e5j8vLyWjx/Xl6e8pjWLFy4UJk5k5mZiaKi7jWY69sjtfjrJ/sAAH+4agQmDsjReY+IiEikw9UOAEDfHG0DGXmOzJE4CmT8fkmpKCrUMGAwGAxKhcmROJojI7cry09P0rSqRw4YapyedtumxBo5nCzO1nZWX7/gZ1/+XkDdixyIiAoFUjsMBYKBjEX97SeHPWdri+PhC8Yitq/MsGkzlBA7S6OjMEypEhEx3F2pDmo/iBMRCgAdz3FRZrgIrBJpO4wKnXcRC7lKdZCn/WMXEcSZTUYkWQJLTg1tBUJusdVRRCL9Z8MRPPbxXgDAg5cP1bQlLxHFt5gPZGStlZR39APL6Y9p7fEdPc/999+Puro65c+RI0ei3PP41eTxYd5/tsDnlzBzdCF+eHax3rtERESCHZIrZHJSNd2uUiFTHT8BQ2W9Cx6fBJPRgIIM7QIZINTy62gcVTHo0a4MADKSLEgPLjTF0xwZOZAp0viX+37Bz/6RU41KtQB1HyLbFwEdz3GRF4dFtC8yGQ3K4nBrC/MOwYPl5ZCrrUoBh+BKgdC5136Oivx+atCpQialgwoZpV2bkDAqtG1/K99TRb/uHVXIiK6KS1Ne+5bb9/r8cHv9QrdPJILH58f/Ld+N+97YCgC4Y0p/3DChr857RUTxJOYDmYKCQP/F06tYKisrlaqZgoICuN1u1NTUtPuYEydOtHj+kydPtqi+CWez2ZCRkdHsT3fx7OqDOHDSgbx0G/5w5XC9d4eIiASrdbpR1+gBoH2FTHFOYJE+nlqWlVYFKgiKeiTDbNL2Ryr5Drx4qiiSwyOtAxkgVIF1OI4CP/m1Ldb4s1iYlQyLyQC3z69UgFH3IXJRHohgwLhbXJVG+PO2tjAvPoxqv3VVo3LsYluWtVYp4fNLyiwTEe3iQovynlb/XvQMGfl526qQkUMqEe/7dFtgBpgktX7unYIrRDqan+NQ3vditp+mVAi1fN+Hnw9Rc6uI1CRJEj7ddQLTF6/GUysPAAB+cn5//Gr6EJ33jIjiTcwHMiUlJSgoKMCKFSuUr7ndbqxatQqTJk0CAIwbNw4Wi6XZY8rLy7F9+3blMRMnTkRdXR2++eYb5THr1q1DXV2d8hgKqaxvwlOrAheYB74zFFkp8TNgmYiIOkderM5LtwlrmdKWeJwhIwcy/XK1rSYCgKLseK6Q0b6dQ0nPwGskv2bxQKmQ0Xiek8loiMsAi9Qhun2QEojoNE+ivcVpZYaLoG2nJ7VdKQCIH27eXnVSeCsxEaFEWgdtuxoFB3EpHWy/QWAokWQxQi64au197xBYnQOEjqmjQEZUCJvaToWMHISZjAZYNb6xhShaO4/bceNz63Drixtw8KQDOalWPPHDsfjNZUOFVFUSUWKLibrQhoYG7N+/X/nv0tJSbNmyBdnZ2SguLsbcuXOxYMECDBo0CIMGDcKCBQuQkpKC66+/HgCQmZmJW2+9Fb/4xS+Qk5OD7Oxs3HvvvRg5ciQuvvhiAMDQoUNx6aWX4vbbb8c//vEPAMBPfvITXH755Rg8eLD2Bx3jHv9kH5xuH0YXZeGK0YV67w4REWngkE7zY4DQonN5XSPcXj+sAgbbqq20qgEAUKJDICOHGvEUYMmL+0Uaz0QBgP7B1+hgnAQykiQpFTJatywDAm3LDp504FC1A+cOzNV8+6Qfh+AqkfbulgdCC7TJwts3tVycFl0hI29bt7ZdyhyXttu1mYwGIYPl0zoKo4LHLup1l2cCNXra376IUMJgMCDVZkZ9kxcNLi9O783RKHhuU7Kl/fk9wt/37YRh4e3aOAidYlWlvQl/+Xgv/rPxCCQJsJqM+PF5JZh9wQBkJFn03j0iilMxEchs2LABF1xwgfLf8+bNAwDcfPPNWLp0Ke677z40NjZi9uzZqKmpwYQJE/Dxxx8jPT1d+Td//etfYTabce2116KxsREXXXQRli5dCpMp9IPNK6+8gnvuuQfTpk0DAFxxxRVYsmSJRkcZP07Ym/CfDYFZOQ9cNpQ/HBERdROHdZofAwA902xIshjR5PHjeG2jLlUn0SqtCpyv/jrsqxwClVY5IpqrFwsOngyEIQN6pmm+7dD5atB8251R4/QolQp6tHiTQ1lWyHQ/TtHzJDpYmG8QfLd+cjuD7eUFY2FhlHzsTa237Qq1rhJUJWJp+9hDc0TELIynBY/J7fW3etOF0qpOWKu89itkRAeR6XIg09TK+07w695xhYy4dm3hz9taCCu6MoqoK/x+CS9+fQh//miP8vm5fFQv/OrSIZpXLxNR4omJK9/UqVMhSW0PDTUYDJg/fz7mz5/f5mOSkpLwxBNP4IknnmjzMdnZ2Xj55Ze7sqvdwgtfHYLHJ+Hsftk4uyRb790hIiKNyBUy/XSokDEYDCjOTsHeEw0oO+WMk0AmsLivx76W5KbCYADqGj2odriRm2bTfB+i4XR7caw20F5N30AmPipkDgc/i/kZNiRZtO+r3y8Yyh6Kk/NF6mkQHUq0074o/Otyey+1tbc47RDcsqyjtl0Ol9jtp7R37MKrJELH5HB5YTU3b4ctvDqonVZ1Lq8PHp8U3E/RVSJtt4vT49jD90n0Z76+vXZtnB9DMabB5cXsVzZh9d6TAIAxRVn47eXDMK5vD533jIgSRez3AyFNNbi8eGXdYQDA7ef313lviIhIS2U6VsiEb/fgydivYvD5JaVdmB4ty5IsJvTOClROHKiM/fMlByE9Uizokar9XDr5NTphd7XZKimWHAhWE/XP1T68AkIhIytkuh+n0rpJbCjRWqWAzy8pi8bCKmSU9k3ahxKRh1FiWuC0tzCvhFGCjt1sMiLJElh6aO34lfk5wkOJtrcNiAvDUtsJJYRXRlnbfs8DoddD2NyodsMosa87UWfYmzyY9dw6rN57EkkWI/5w5XC8PXsSwxgiUhUDGWrm7c3HUN/kRf+eqbhoSJ7eu0NERBo6pAQy+pThD8wLLD7vj4NA5lhNIzw+CVazEYWZ2reUAkKVJvLifSw7oGO7MgDISrEiOxgExUOVzL7KegDAoHydAhm5ZdkpB/z+tqvYKfGEFme1b1nmCB8sL7xCpu279YW1bgo79tY+V/XBkErUsYcW5rVv1wYAabZA0NTaay8fu7gwquMgzmY2wixosLxc8dVqKCE4EGkvjArfJ3Ety0zNttNs226x32+IoiVJEua+tgWby2qRmWzBf+6YiFkT+8VFa2Aiii8MZKiZdzcfAwBcf3YxjEZedIiIuov6Jg+qGlwAgL7Z+lTIDJIDmTio+DgotyvLSdHteimHG/FQUSTvY/+e+rWii6e2ZXLVkxxSaq13VjLMRgOaPH6cqG/SZR9IH+IXZ9sOZOSqGavJCJtZ+/ZNomd5hJ9Tp6fl9kXPz5GP3dFOKCGqMir8uVt97V2e4GMEBXHtVci4xZ73wPbbDmTkqhnRQVyjx9ciCPT7JeX9ILpdW2uvuzI7iBUyFCP+u+EoPttdCavJiJdvnYBRfbL03iUiSlAMZEhxtMaJDYdrYDAAl48q1Ht3iIhIQ/uCC8B56TZkpoi5Q7Ujg/LSAcRHICPP1tCjXZlsQF5g2wfiIJDRu0IGCL1W8TAXZZ/OgYzZZERxcGDtgcrYP1+kHiWUEN2yrNVFebEL00BocdrRboWMmGO3mY0wBwP801u2SZIkfn6OvDDfSiAjujIKaL86SvRrn9xeECe4VV34c7fWsqyhSezrLgdxkgQ0eZsff3gwqGcImyLw3BNF6miNEw9/sBMAMG/aGRjZJ1PnPSKiRMZAhhTvf1sOADinJAcFmUk67w0REWlpb0WgRdLggnTd9kEOGKoa3DjlcOu2H5EoVQIZ/QKGeGpZFqqQ0T+QifUKmSaPD0eC84nkkFIP8veC3RV23faBtCd8joq8KN/khSQ1v1tfbluVKrBKQ74Tv71QQtSxGwyGNqsFmjx++ILVC8Lm51jbbh3l1LBKpLX5QUooIbhKo7VApkGDdm3ttSyrF3zsyZbQ5+n045fbpRkNUGb8qC2tnRky8ucgQ2AIm2hWr16NmTNnorCwEAaDAe+8806zv5ckCfPnz0dhYSGSk5MxdepU7NixQ5+djSN+v4RfvbkVDS4vzizOwu2TOU+ZiMRiIEOKd7cE2pVdOYbVMURE3c2eE4FA5ox8/RaAU6xm9OkRmMcS61Uy8vkaoGMLLjmQOVLjRFMr7W9ihd8v4aBSIaPn+Qpse1+Mv7cOnnTALwGZyRbkpll12w/5e8He4HuduodQCyGxd8t7/RJcXn+zvwu17BJXpZmstI5q+T3TKQ+WFzpHpfVApj7YsstgEDlcPRhGtdouzdfsMSJEsjAvrELG0vHsIJFts1KVOSrttKoTdOxGoyF0/KdtPzyEFDUjo72WZfVNgfe9qNlBicjhcGD06NFYsmRJq3//6KOPYtGiRViyZAnWr1+PgoICXHLJJaiv57W8PS9+fQhf7a9GksWIv1w7Bia27yciwRjIEABgT0U9dlfUw2IyYMaIXnrvDhERaUxedB2sYyADhObIyEPNY5EkSdgdrCga2itDt/3ITbMiI8kMSQIOVcdu1UeFvQmNHh8sJgOKgm2w9DCkIPBa7T1RD6/P38Gj9SO/9wflpek6RFaukNlTEbufRVJfaIFWUCgQFvScvkArL4yLqhQAwkOJ9maJiA8lTq8Skf87TeDCeLKl7UBEi7Zd7bUsU6pEBC3My8cVXokkE10ZFf7c9a1UB9VrEEQqgZD79M+cL7ht8SFku2EUW5ZFbMaMGXjkkUdw9dVXt/g7SZKwePFiPPDAA7j66qsxYsQIvPjii3A6nXj11Vd12Nv48PnuSjzy4S4AwK8vHaJrO2Ii6j4YyBAA4L1vA9UxUwfn6TY7gIiI9LOnIlA1cIaOLcsAYFAwENp3InarGE7YXah1emAyGnSb8QEE2t8MkAOsGD5f8oJ+v5xUWEz6/ehZnJ2CFKsJLq8/pgOsAzrPj5HJgczeEw0tBkFT4nIIXiA1Gg1KJUKboYTA9kVypUB7i8OiqoOAtkOJBi3DqPbmqAg89rYqJdxev1ItJep9F151dHqFkFODUCC9veogpUpEg9lJbbzvtAijWgvi7ILn53Q3paWl2+c1KgAAQF5JREFUqKiowLRp05Sv2Ww2TJkyBWvWrGnz37lcLtjt9mZ/uosPt5Zj9iub4PNLuObMPrh5Uj+9d4mIugkGMgRJkvDuluMA2K6MiKg7qm5woarBBQA4I1/fRWB5ETqWW5btKg/8ojqgZyqSLOLupI6EXKGzszx2f3necbwOADC8UL9qIiCwECyHDDvLY7fqY1+MBDJ9s1NgNRvR6PHhSI1T130hbfj9ktKyTI/h7vUaLIzLi8OthRJODWaJtNWyTIswSg4lHK0FMm4N5qi0VR0Udi5EvfY2s1FpQXR6KBE6dpEty4KBSCst0+qbxL/vM5Jbr9DRojJKPq+tBTINGhx7d1JRUQEAyM/Pb/b1/Px85e9as3DhQmRmZip/ioqKhO5nLNhdYcfd/96MOa9uQqPHhyln9MSfrhmpa2UyEXUvDGQIm8pqcbSmEalWEy4akt/xPyAiooSyN1hdEagg0PeXYrll2e4YbpO0KzjkXG6BpSc55Nh+rE7nPWmbHBYN0zmQAUIB1u4YDrDk976e85wAwGwyKp9Hti3rHpxhlQNahCJthRIiF4eVwfatLIxrUS3Q1hwVLcIo+frudHshSc2r3kKVUdqHEvLrnmI1CZvbYDAYlCoMeW6Jsn2dW5Yp1VECw7j0YDs0+2nHrkWbPnnbrVUHcYaMGKeHCpIktRs03H///airq1P+HDlyRPQu6mb9oVP48dL1uHTxF3j/28BNybOnDsA/bx6vaxU3EXU/vBWB8N6WQLuy6cMLlF9SiIio+5Dnx+i9AAwEQg6jAahqcOGEvQn5GUl671ILu4PVFUN66X++hhdmAgB2Hrd3+Au3XnYcD4Qf8r7qSQ5kdsVoIGNv8qC0KtBObURv/c/X4Px07Dhux56KekwbXqD37pBgcusmowFIsohbmGq7UkJ866ZUJZRorUpEwxkybVbIiFuYls+rxyfB5fU3q/DUMoxqOK1dXH3wdRddJZGeZEat06O0yZKJbtMHtN2yzBdWlSYylAiFUW20LBPaqi7wPnO6ffD7JRjDQjctwqjupKAgcJ2uqKhAr16hucCVlZUtqmbC2Ww22Gw24funF79fwud7KvHUygPYcLgGAGAwAJeN6IWfTh0QEz9vEVH3wwi4m/P6/PhgazkA4Aq2KyMi6pbkxWm925UBgbuXB+UFgo6tR2Oz6mN3sEJmaAxUyAwpSIfJaEC1w40Tdpfeu9OCvcmDw9WBdlfDeul/voYFQ7RdMdqybMexwHurd1YyslOtOu9NaI7M7hOxeb5IXeGLsyLDXbktV4tKCQ0WxtPaqVSQW5aJrBRtszpIixkyVjPkl7VFpYQW83OUIO60ChUN2rUBYVUija1XyGjxureY4RL2PhTZMk0Oe/RpWRZ67tM/8/WcIaOqkpISFBQUYMWKFcrX3G43Vq1ahUmTJum4Z/pZd7AaM5d8iVtf3IANh2tgNRnxw7OL8NkvpuLvN5zJMIaIdMMrXzf31YFqVDvcyEm14tyBuXrvDhER6eDbYPAxqk9s/FIyoncm9pyox7ZjdbhkWGy10mzy+HDgZKCCIRYqZJIsJgzomYq9Jxqw43gdCjJjq6JoV7A6pjAzCT1iImAIhEIV9ibUONwxsU/h5NZzI2NkgUBuM7ctRsNRUpcWVRJAaNG/5d36gUBEi1kapwcSbq8fbl9gsLzQKhF5fk4blQoij91oNCDdZoa9yQt7oxd5YZcwpwYzZJQg7rQKGS3CKKDtKhEt27XVt2hVF3gfWs1G2MwiA5m22rWJn59jMxthNhrg9UtocHmbVQJxhkz0GhoasH//fuW/S0tLsWXLFmRnZ6O4uBhz587FggULMGjQIAwaNAgLFixASkoKrr/+eh33Wns+v4Q//W8Xnv2iFEDgPXbDOcW49dwS5MVg9T0RdT+88nVz7wbblX1nVC/2zCQi6oacbq/SsmxMUQ+d9yZgVJ9MvLnpKLYdrdV7V1rYe6IePr+ErBQLCmLkF7oRhZnYe6IB24/ZcdHQ2AqwQvNjYiNgSLOZUZydgrJTTuwst8fczShb5UAmRsLRUX2yAABlp5yobnAhJy1xW5oQYG8MLI5mJoud56CEEi2qBTzN/l4EeTHY7fWjyeNT2naFVy6kCmzhnNbGgPN6rapEkiywN3nbmaOifSihhFGCjz0jufUqES3CqPSkUIVMeHtRrcKojKTWg0gtKmQMBgPSgu3iwj9nfr+EBrdcIcMZMpHasGEDLrjgAuW/582bBwC4+eabsXTpUtx3331obGzE7NmzUVNTgwkTJuDjjz9Gerr+NxFpxevz486XN+KTXZUAgB+eXYx7p53Bn2GIKKZwBb4ba/L48NH2CgDAlWxXRkTULe04bofPLyE/wxYz1RXyYvS2Y/YWg4f1tinYe3pMUVbMzGuRqxh2HI+9KobQ/Bj925XJ5PfXliO1+u5IK+QKmVhpoZGZbEH/nqkAYreFIKlHXqyVq0hEaWuehhaL0+m2UNuu8IX5umAbq1SrCWaBN6mlBdtmtWxZps0cFTmU0GOOSlobr7u8L3JLMVHS2wgltKgMk5/bLwFNHn9o2xq17OqoZVmawHZtQKgqLnx+kMPthfwjHluWRW7q1KmQJKnFn6VLlwIIBGDz589HeXk5mpqasGrVKowYMULfndbYwv/txie7KmEzG7Hk+rFYePVIhjFEFHMYyHRjn+6qhMPtQ58eyTizODbuiiYiEuHJJ59ESUkJkpKSMG7cOHzxxRftPn7VqlUYN24ckpKS0L9/fzz99NNtPva1116DwWDAVVddpfJea2NLWS0AYHTwTvhYMKxXBkxGA6oaXKiwN+m9O81sCp6vWLpuDi+UA6zYWzD/Nhh6xFIgMy742snhWqywN3lQWhVohxcrLcuAQPgIAJtjMMAidcmzNTIE362e1kbrKPm/RS6MG40GJRgIX5iX/79m1UGntyzTbGG+Zesqj8+vVImIfO3T2pqfo1F1UIYSSrReJSIyjEqxhCqP5DZlgX3RqjKqrTaB2rQpbC2Mk7dtMRlgM3NZitTx4dZyPPdloE3Z4z8Yg8tH8cZjIopNvPJ1Y3K7sitGF8bMXb5ERGp7/fXXMXfuXDzwwAPYvHkzJk+ejBkzZqCsrKzVx5eWluKyyy7D5MmTsXnzZvzmN7/BPffcgzfffLPFYw8fPox7770XkydPFn0YwmwJtgUbHVx0jQVJFhMG5aUBiL278jeVBRbxYymQGdUnEyajAeV1TThW26j37ihqHG7sq2wAAIzrGzvn68zgvmwsq4mpCqwdxwLVRL2zkpEdQ7Ntxga/N8RiRRGpK1QhIzaU6GiwvVYL8+HD3eV2baKPXW5Zdvpwcy1myADhxx7afvh5EBkItdmqTqPqoLZCCflciDz28CAwfIZOvUave7qOYRQQaoUXfu7rw+bHcC2C1FDd4MKD72wDAPx06gBcOqKXzntERNQ2BjLdVJ3Tg5V7TgIArhzTW+e9ISISZ9GiRbj11ltx2223YejQoVi8eDGKiorw1FNPtfr4p59+GsXFxVi8eDGGDh2K2267DT/+8Y/x2GOPNXucz+fDDTfcgIceegj9+/fX4lCEkCsYxsRQIAOEKnZiqYqhsr4JR2saYTAAo4tip4Ih1WbGiGAFyoZDp3Tem5CNwdduQM/UmGoVMaxXBmxmI2qdHhwMVqTEAvm1i7XPojxb6tsjtTEVYJH6lFBC9N36bbSucmg1T6OVtl11WlUHyS3L2qgOEj9HpWV1kHzsaTaz2HZtwbZVbq8fbq/2bbtaC+KA0PGLro6SQ4lmVSLKsWvTrq2tqjTR5z61lc98vUbHTt3HHz7YiRqnB0MK0vHzi8/Qe3eIiNrFQKab+t/2crh9fgwpSMfggu4z4I2Iuhe3242NGzdi2rRpzb4+bdo0rFmzptV/8/XXX7d4/PTp07FhwwZ4PKFf4h9++GH07NkTt956a0T74nK5YLfbm/3R28l6F47WBCoqYmWIuOzskmwAwNrS2AkYNh2uBQAMzk+PuQWE8f0C5+ubGDpfG4KBzPi+2TrvSXNWsxGjgu/3WAr81gVfuwn9Y+t8DS5Ih9VsRF1jqKUaJSbN23aFLc5KkqRZhUxrbbu0qw4KLMq3WR2kUYVM82MPbFurQAI4bWFesyqRlqGE2+tHoydQsSL++FtuX64OEh1CthXIKGFUijaBUHhlmPweFP26U/fw3w1H8M6W4zAagP+7ZhSsbINHRDGO36W6qf9sOAKA1TFElNiqqqrg8/mQn5/f7Ov5+fmoqKho9d9UVFS0+niv14uqqioAwFdffYXnnnsOzz77bMT7snDhQmRmZip/ioqKojwa9a09WA0AGFKQLvyu4GjJi9Lbj9W1WLjSy+Zgu7KxMdSuTHZWv8A+bTgUOwGDXPExvl/snS+55Zzcgk5vHp9fqSiaUJKj8940ZzUbMToYYMVS4EfqU2bIiF6YtrZcHHZ5/fD4AhVYerbtkitIRJEH17cVyIivEglWyDS2rA4SvW2zyYgkS2D5oaGVKhHxQVzLwfZ1zdq1CQ4l2qkS0erY7ae1LKvVqjrI2jKE1eo9T4lvc1kNHnhnOwDgnosGxVQbZiKitjCQ6Yb2VNRjU1ktzEYDrhnHQIaIEt/pvaklSWq3X3Vrj5e/Xl9fjxtvvBHPPvsscnNzI96H+++/H3V1dcqfI0eORHEEYqw5EAhkJg2I/Di00qdHCvr0SIbPLykL1XqTKxhiaR6KTK6Q2XOiHnVOTwePFq/J41Pm/5zVL7YqPoDQHJn1MRJgbT1ah0aPDz1SLMr8pFgyMfg94qvg9wxKTHKlhPC2XUktF6bDF2rlxVtR2mvbJfrY5SoRp9sHnz/UAlAJJWyiKxVaVsho1bILCGvZ1sprr1WFTGuve3qSGSaj2DkmStsudyuBjPA2faFAxB9830mSpNlrn9ZKhY5W7dIosa3YeQI3/HMd3F4/Lh6ah3suHKT3LhERRYSBTDf0728Cg6wvHpqPvPQknfeGiEic3NxcmEymFtUwlZWVLapgZAUFBa0+3mw2IycnBwcOHMChQ4cwc+ZMmM1mmM1m/Otf/8J7770Hs9mMAwcOtPq8NpsNGRkZzf7o7esDgYqfcwfG1h35MrlSQK7k0VOd04OtR2sBxOb5yk2zoX9uKgBgw2H9qxi2Hq2D2+dHbpoNfXNS9N6dFiaUZMNgAPZXNqC8rlHv3VEqT87qlw2j4EXBzjh3QOA9//WBKs6RSWB6VonIgUSq1ST8M9DaLBGt27UBpy3Ma9SuLRRGtawO0iaQaTlHRauFebnyq7UKGS2OXQ5k7E2tVYmI3b78npek0PuuyROa5ZOVYhW6ffn8hlckaTU/hxLTgZMNuPOljbj9XxvgdPtw7sAc/PW6MTH5MxQRUWsYyHQzTrcXb206CgD44YRinfeGiEgsq9WKcePGYcWKFc2+vmLFCkyaNKnVfzNx4sQWj//4448xfvx4WCwWDBkyBNu2bcOWLVuUP1dccQUuuOACbNmyJSZakUXiWG0jDlU7YTIalHktsUZuW7YuBgKZNQeq4JeAgXlp6JWZrPfutGpC/8Ci+Rf7qnTeE2D13pMAgIkDctqtRtNLVooVo/pkAYiN87WuNPAel1/DWDO2uAeSLSZUNbix50S93rtDgihzVDSqEmloZWFadCABtL4wL7fwEt2uzWY2wWoKtu0Kbt/l9SkL4+KrRNqukBF97EDrlRJahRKtVcjIYVSW4BkqAJCV3DIIVOaoCH7f28xGWEyG4DYD51t+3U1GA1Ktpjb/rRp6BAOfWqdb+RpnyFBnVNqb8Ju3t2HaX1dj+Y4KGA3ALZP6YemPzma4R0RxhYFMN/PaN0dgb/KiODsFkwfGXosaIiK1zZs3D//85z/x/PPPY9euXfj5z3+OsrIy3HnnnQACrcRuuukm5fF33nknDh8+jHnz5mHXrl14/vnn8dxzz+Hee+8FACQlJWHEiBHN/mRlZSE9PR0jRoyA1Sr2LkO1rNkfWIQe1SczZn+BmRhcnN56tK5F33OtrQ4u2k8eFLvXzqmDewIAVu6p1HlPgM+D+zD1jJ4670nbpgRfS70DmSaPD+sOBipkzukfm+Go1WzEWcHg9qv9+gekJIZWC/Py4nOD26tUXGnVtgoIm6OiU9suJZAKHrPD5VP+Ts/5OVoce2uVElq17ZIDmfC2XVq+7j1SAz8f1jhCoYQSRgk+doPB0GKGTvixi75xQg68asNaqmpVFUaJob7Jg8c+2oMpf16JV9eVweeXcPHQPPzvZ+dj/hXDYTFxaZOI4gu/a3Ujbq8fz6w+CAC4c8oAlnMSUbdw3XXXYfHixXj44YcxZswYrF69GsuWLUPfvn0BAOXl5SgrK1MeX1JSgmXLlmHlypUYM2YM/vCHP+Bvf/sbrrnmGr0OQYgvg4HMuTE4P0ZWlJ2CAT1T4fVLWLXnpG77IUkSvtgX2P75g2I3YDh3YC4sJgMOVTtRWuXQbT8q65uw47gdADBlcOyer8nBsOjLfSebzXLQ2tcHqtHo8aFXZhKG9dK/lWFb5LZlX+3Xv6KIxFCqRIQPNw9vnxQII0KD3cUvjLfXsixDg8Xh00MJ+dhTrCbhc0zSlQoV7du1AaHWWDXO8FBCm0qJ8LZdDe6WoYRocihR42ytbZf4993pFUJytUqWpq97yyCOM2SoPZIk4Y2NRzHlzyux5PP9aPT4cGZxFv5zx0T88+azMLggXe9dJCLqFF79upG3Nh1Fhb0Jeek2XDOut967Q0SkmdmzZ2P27Nmt/t3SpUtbfG3KlCnYtGlTxM/f2nPEMrfXj893ByoYYnnBHAAuHpaPA6sO4pNdJzBzdKEu+3Co2omjNY2wmAxKG7VYlGYz4+ySbHy1vxqf765EyXkluuyHHJ6N6pOJ3DSbLvsQiTFFWUi3mVHj9GD7sTqMLsrSZT8+2XUCAHDhkLyYbO8mO/+Mnlj4v934an8VHC6vMg+BEoPb60ejJxCOiJ4hk2Qxwmoywu3zo67RgzSbWbNKAaD9OSpatO3qkWrFoWonTgUrJeo1CiSA0PHZW5mjokUYlZ3SvErE4/OjyRNo1yZ6YT7JYlLed/VNXmQkWbStkGmtbZeGlWGnh3FatqrroVTIhAVxTdp95ik+1Td58LPXtuCz4O8s/Xum4r7pQzB9eH5M/7xERBQJVsh0Ew0uLxat2AsA+Mn5/WEzi+0TS0REsWvtwWrYm7zITbNhXHEPvXenXRcPzQcAfL67Eh6fX5d9WL69AgAwoSQHKdbYXjiYekYegFDLMD2sDM6PieV2ZQBgMRlxbrB9qxyKaE2SJGWhQX6vx6ohBenom5MCl9ePVXv1q1gjMcIrJkQvDhsMBvRIDSzQnmoILNDKi8Na3C2f0eoclcDisBYL83IoIQcyoeog7RblG1xepTJQCSU0mKMit+06FVyYd7hCwZAWIa++oUTzYw/sh4avva3tlmWiZSXLYVR4yzL5Mx+bbXNJX5X2Jnz/6a/x2e5K2MxG/OrSIfho7vm4dEQBwxgiSggMZLqJv3++H5X1LhRnp+DGc/rqvTtERKSjj3YEAoZpw/Njvn3lmcU90CPFAnuTFxsO1eiyD8u2lQMALhvZS5ftR+OCIYFAZu3BatSFLXxopdHtw8pgwCDvSyybMbIAAPDB1nJlloWWdhy3o7yuCckWEyYGW4LFKoPBgEuHB86XHFJS4rCHzfEwa9CLPzs1UD1X7XAF/rch8L9aVNUpVSLhc1SatFuYz05tHsiEwijx2w4PvOQgyK5pGBVs2+UIHLMcDiRZjJrMgFDadjVqH0r0aGWOSqhKRLvX3n5aIJOlQRCXFQxgGz0+NHlOa1PIChk6jcvrwx0vb8Tuinrkpdvwxp2T8NOpAzgnhogSCr+jdQN7Kurx3BelAIAHvzMUSRZWxxARdVd+v4SPdwaqAaYHF1djmclowIVDApUD/9tervn2y6qd2HasDiajAdOHx3YFAwAMzEvDkIJ0eHySLufr090n4HD70KdHMsbo1AIsGhcNzYfNbERplQM7y+2ab18O+yYPyo2Ln8+mjwh8z/hsdyVcXl8Hj6Z4YtewbRUA5JwWSlQF/1cOK0Q6fZZGk8cHtzdQgalJ267ThrtXBauEeqaJP3ab2QSbObAEYD+9SkSDQEgZbO9sHkZpsW0gFLidXiGjSSBz2rF7faE2gdrMkNHv2NNtZmU+khxIcYYMteWh93dic1ktMpMt+M8dEzGyT6beu0REpDoGMgmuyePDPf/eDLfPjwsG98Qlw2J/MYmIiMT55tApnKx3IT3JjIn9Y/uOfNnM0YHKlPe/Pa4smmnlw+CC+Tn9s5ETw/NQwl0xJjBr590txzXftrzNK0YXxkVLiTSbGRcMDlTyfLhV2wDL75fw9uZjAICrxsbHbL8xfbKQn2FDg8uL1Xur9N4dUpGWFSJAyyoRuXVZrgahhLz473T74PH5lTDKaNDmbv0epx27ltVBQPgcGR1CidPatZ3U+NhDLct0aNsVrESpa/TA55eUbQPatquTj10ORrQ4doPBgKzgdmob5dlJ2rVro/ixZn8VXl1XBoMBePwHY9AvN1XvXSIiEoKBTAKTJAkPvb8De07UIzfNike/NzouFkeIiEic/6w/AgC4fFQvWM3x8WPA5EE9kZduQ43To+lsFEmS8O6WwIJ5PLQrk10xOhDIrC2tRkVdk2bbrXN6sDL4+lw5Jj4CBgD4zqhg4Lf1OPx+7dqWrT1YjfK6JmQkmXFhHLR3AwCj0YCZowLvr/9sOKLz3pCa5BZOWgcy1XIoEWxdpkXwHX5Hfn2Tt1kYpcXvStmnzVGpapCPXXwYBYSqgOqbvPD7JaViQpOWZadViZysDxx7z3SNAhlb8zDKrsMcFUkKbFcOo7JTrZq0YspoY36OFscOhAKpGocHkiQpbVW12j7FPrfXj9++ux0AcOOEvpg6OD5+NiIi6oz4WImhTnly5QH8+5sjMBiAx74/WrMfdImIKDbVNXqUio9rxxfpvDeRMxkN+G6wguDNjUc12+6mslrsrqhHksWIy0cWarbdrurTIwVn9esBSYJSgaGF9749Bo9PwuD8dAwuSNdsu1110dA8pCeZceRUI77Yr13Vx5ubAq/N5aML46Jdmey6swLfOz7bXYlKu3aBH4mlhBIatY5SWpY1yFUi2rUsM5uMSLUGPnP1TR7N22Zlp5zWsswhVwdpVSUiz9DxoMHthZxDaxHGKYvyzsCifFU3qpCxmo1ID1ZgnXK6UWkPHHueRr+jh9q1aX/sQKg6qtbpRq3TA7cvUPHMNQqSPbP6AA6cdCAn1Yp7pw3We3eIiIRiIJOg/vnFQfz5oz0AgPkzh/PuAiIiwnvfHofL68fg/PS4mO8R7uoz+wAAPt+j3SLwK2sPAwBmjipEpgZDb9X0/WDg9vLaw/D6xLd5kyQJL34dOF8/ODt+wj4ASLGacU3w/fVS8BhEq3W6lfkxV8dJuzLZoPx0jOvbAz6/hP9qGJCSWMoMmWRt2gdlpzWvkAktzGtTJRIKJbyaDrUHwlqWyRUy9dpVBwHNF+blKgWr2ahJMCwHbm6vH063T6mQyU3XqDpIx3ZtQGi4fa3TrX110Okty3SqkKlt9KAyeOw9UiywmePnhgQSZ3eFHY9/ug8A8ODlQ+Pu524iomgxkEkwPr+E/1u+G498uAsAMOeCAbh5Uj99d4qIiHTn90t46etDAIBrzyqKuxaWgwvScVa/HvD4JCxdc0j49mocbnwQXDC/4Zy+wrentitGFyI71YpjtY1YsfOE8O19tb8a+ysbkGo14Xvj+gjfntpuPKcYAPDZ7hM4VtsofHuvrCtDo8eHob0yMK5vD+HbU9sPglUy//6mTJPAj8TTrULG4YLb64c9uEick6pVKBFYnLY3ecJalmkTRrWoDpIrZDSoDgJCC/Phx67VonyyxQRbsF3qKYcbVcFz0FPjChl7o1cJhQDtq0RqHKGWZVode1Zw2/LMIjmElb+u1fZrnG6cCN5Yk5eepMm2KbY53V784j/fwuOTcPHQPFwVR21viYg6i4FMAjnlcOO2F9fjqZUHAAC/nD6YpZ5ERAQA+HR3JfaeaEC6zRyXC+YAcPvk/gACVR8NwWGworz49SG4vX4ML8zA6D6ZQrclQpLFhB8GK1Ve+OqQ8O298FUpAOB74/ood57Hk4F56ZjYPwd+CXjhy1Kh23J7/XgxGCrePrkk7sJRALh8VCFyUq04WtOI9749rvfukAq0nyETWIQ+5XAr80RMRoNmC+MZYW27tG5ZJlfIONw+NHl8oeogrVpXhVUHhY5dmzDKYDA0myNTpXGViByGVTW4lGMHoNl1KzyUkFuW9czQ5tgLM5MBAMeDs+W0b1kmVweFKmTyNDp2il0urw93vLQRO47bkZViwYLvjozLn4uIiKLFQCZBfLLzBKYvXo3P95yEzWzEomtHY84FA3kxIyIiSJKEJZ/vBwDMmtg3bgeoXjw0HyW5qbA3efHaN2XCtlPX6MFzwUX52VPj91o665x+MBsN+ObQKXx9oFrYdrYercWnuythMAA3xXFV7k+mBAO/dYdRWS+uLd47m4+hst6F/AwbLh8VP7OJwiVbTfjxeSUAAjML/fIQCopboQoZjVqWpYZalsmBRI8UK4xGbb7fysFTXaNH08HuQOAcm4LHebLehdpg27AcjSpkegbbwp2ob9L82IHwUEL7KpE+PVIAAEdrGpVAIj3s9RAtPJTQ+tgLswLVKCfrXXB5fdq3awubncQKGQKAyvomzPrnN/hiXxVSrCY8d/NZyMvge4KIugcGMnGutMqBH73wDW771wacrHdhYF4a3vzpJKXXPhER0cq9J/HtkVrYzEZlETUeGY0G/OT8wKL53z/f3+zuVjW98FUp6pu8OCM/DTNGFAjZhhYKMpPww7MDrbge/Wg3JEnMovljH+8FAHx3TG8M6JkmZBtamHpGT4wtzkKTx4+nVx4Uso1Gtw+LVgTO123n9YfVHL8/it80sS8ykszYX9mgtPej+FXjlNt2aduyrL7JqyzOajU/Bgh8fwSA47WNSrs0rY7dYDAorav2n2wAABgNoXZWohVlB0KJI6ecms/PAYDs4ByVmrAwTqvqoN49AlUix2qcmgcSQFjLMqdbmYenVXVQdqpVaRe3v7IBvmCQnqXRrI7wGTInWSHTrUmShA+3luOyx7/EN4dOIc1mxrM3jY/LFq5ERJ0Vv78FdnPVDS4sWLYL0/8aqIqxmAy4c8oAfHD3eRjRO/5aqxARkRhurx9/eH8nAODmSf2Qq9GdmKJ8f1wfDOiZihqnB08Gq37UdLy2Ec+sDizG/+yiMzS7W1uUuy8ciCSLEZvLavHRDvVnyazZX4XVe0/CbDRg7sVnqP78WjIYDPh58BheXnsYpVUO1bfx/FelqLA3oXdWMmZNjL/ZROHSkyy4LdhG8E/LdsHpFttGkMQ6XB14vxcFKwhEy0y2KFUJ+04EQokcDQOZfjmB4yytdipts7RcmJcDqX0n6gEEWrhpdb0pDgYyZadCoYRWYRQQCiVO2JuU6iCtqkR6ZwUCGXuTF0drnAD0C2TkChmtqkQMBoNy/DuP2wEAVrMRSRaTJtuXj73W6VaqUPM1CqModhyrbcRtL27AnFc3oarBhTPy0/DeXefi3IG5eu8aEZGmGMjEmVMON/70v92Y/OjneGb1Qbh9fkw5oyeWzz0fv54xRLMfqIiIKD688FUpDlY5kJtmw90XDtR7d7rMbDLiN5cNBRCYjbK/sl7V53/4/Z1wun0Y37dHXFfHyPIyknBrsCrqofd3oL5JvaqiJo8PD7yzHQBw/YRiFOdos5Ar0uRBuTj/jJ5w+/x48J1tqlYVHTnlVELEX04fnBA/s/3k/P7onZWM43VNePLzA3rvDnWSy+vDkVOBxekBPVM12abRaFDaN+2VA5lU7RZn++YEjvNwtUOpUtHq2AGgR7BKRA6jtKwOkr9XH6tpVEIJLW/WUKqDKgPHbtZwdlCqzay0y9tZHgglNA1klOqgUJWIVhUyAFAYDGR2lQd+dsrSslVdcFs1Tg9O2OUKGban6i78fgkvfX0I0xatwqe7K2ExGXDPRYPw3l3noX8cV1cTEXUWA5k4cfBkAx58Zxsm/elTPL3qAJxuH0b2zsQLt5yFpT86K65bhBARkRh7T9Qr7ZHuu3RwXA5bb82FQ/IwdXBg0Xzef76Fx+dX5Xn/t60cy3dUwGQ04JHvjoj76hjZXRcMQt+cFJTXNWHBst2qPe/iT/ahtMqB/AwbfjFtsGrPqyeDwYBHrhwBm9mIr/ZX478bj6ryvH6/hHv/+y0cbh/O6tcDV4yOz9kxp0uymPDby4cBAP6x+gC+PVKr7w5Rp5RVO+GXgDSbWdPFYXlhXA7WszWaoQIA/YKBTGmVQwkGBuWna7Z9+Vj3VsqBjHbnPT89CVaTEV6/hM/2VAIABhdod+w9Tjv2nDTtZgcBoSqZVXtOAgiFFFqQ56iU25tQH2yVp2Xbrl7BVn3bj9UB0Gd2UK3TE6qQYcuybuFwtQM/fHYtfvvuDjiCNz0tu2cy5l1yRkLcnEJE1BkMZGKYJEn4+kA1bntxPS5atAovry1Dk8ePEb0z8M+bxuO9u87FBUPy4nbYMBERidPk8eHuVzfD5Q1UUn4vgWaLGQwG/OnqUchMtmDr0ToldOqKQ1UO3PfGVgCBu/6HFGR0+TljRbLVhD9dPQoA8O9vyvD+t8e7/Jyf7T6Bf6wOVEQ8ctVITRd1RCvOScHPLh4EAPjdu9uxu8Le5ed8atUBrCs9hRSrCY99f3TChH0AMH14Pi4bWQCPT8Ld/96sDIen+HHgZKBdWf+eqZr+XqGEEnpUiQTbdtU3eeF0+2A1GdE3W7sqv+zTWpZpeexGowF9grNUjpxqBAAM66XdNS87Ra4OChy7liEgAOXYd1cEtj+6j3btvnucduw2sxHpNrNm25fDpw2HTwHQOogLzpBxukMVMhq1ayP9LN9egUsXf6H8DPTQFcPxnzsmahqAExHFIgYyMai6wYV/fnEQl/x1NX747Fp8sqsSkgRcPDQP/779HLx/13m4eFg+gxgiImqV1+fH3f/ejD0n6pGbZku4BWAgMJD5katGAACeWnkA/91wpNPPVet0446XNqLe5cVZ/Xpg3iXxPQulNRMH5OCO8wPzPn75xrfYdrSu08+1v7IeP/v3FkhSoFXZJcPy1drNmHHH+QMweVAumjx+3PHSRuVu3s7437Zy/PmjPQCA314+TGmVlCgMBgMWXj0KvbOSUXbKidkvb4LL69N7tygKB4Itu/rnavvelFuUNXoC75ccDatEkq0mpVoACIRRZpN2vxpnB6sFnG7tjx0AisLCJ5PRgIF52nVbkCtk5GPXeradHMjIRvbJ0mzbPU573Xum2zT9nV6uDvIHu3FqOURdPnavX4LbG6hs1jqMI229tPYwfvrKRjR6fDinfzY+mns+bp7UL+F+JyEi6gwGMjHC55ewau9JzH5lI85Z+Cke+XAX9lc2IMlixI3nFOOzX0zBP28+CxMH5DCIISKiNnl8ftz35las2HkCVrMRf79+bML+wjtzdCHmXDAAAHD/W9vw7pZjUT9HXaMHNz3/DfacqEfPdBue+OGZsGi4KKel+y4dgiln9ESTx48bn1uHrUdro36OPRX1+MEz65Twav7M4ervaAwwGQ14/Adj0TsrGYernbjh2XWoCg5gjsbHOyrws9e3AABumdQPPzy7WOU9jQ2ZyRY8deOZSLGa8OX+Kvzs31vQ5GEoEy8OKhUy2rZAPr1FWY6GLcsAoG/Y3CstAwkgFErItA4lirJDocSAnqmatg2SF+ZlPTU+9t5hLcrMRgOGaFgl0iszCeG/yudp/PPZ6e3ZxvfN1mzbSRYTRhdlKf+dmWxhu6oE9tnuE/jdu9shScANE4rx8q0TmgXBRETdXWKuOHTgySefRElJCZKSkjBu3Dh88cUXuu3L0Ron/rpiLyb/32e4+flvsGxbBTw+CaP7ZOKP3x2Bbx64GI9cNZKDzoiIqEPVDS7c8sI3eGvTMRgNwBM/HIsJ/XP03i2hfnHJYFx9Zm94/RJ+9toWPPHpPvj8kQ1i33uiHlcu+RJbj9YhO9WKV2+bgILMxG2fYTIa8MT1YzG2OAt1jR5c/+y6qNqXfbLzBK79x9eoanBhaK8M/GPWeFjNifujZHaqFa/ePgEFGUnYV9mAK5d8FXFlkd8v4bkvS3Hnyxvh9voxfXg+HvzOUMF7rK9RfbLwzKzxsJqMWL6jAjf8cx0q7Z2vLCLtHKwKVshoONQeCMwOae+/ResXVq12hsbtc0pOq0bS+tiLwxZGtW7RObooq1kYl6t5y7LQsQ8uSNc0FMhJs+HyUaEZYlrfMNMrK/QzTrLFhKG9tH3fXzs+1D5X6zCqu9FzzevgyQbcE6yk/uHZxXjkqhGaViASEcWDbvdd8fXXX8fcuXPxwAMPYPPmzZg8eTJmzJiBsrIyzfbB5fXhg63HMeu5dZj86Od4/NN9OF7XhMxkC26Z1A/L7pmMd+86DzdM6IuMBBnATERE4jR5fHh1XRkuXrQKX+2vRorVhGdvGo/pwwv03jXhjEYDHvveaNwyqR8A4C8r9uJ7T6/BuoPVbf6bOqcHj320B5f/7Uscqnaid1YyXrltQrfoZ52RZMFLt07AxP45aHB5cfe/N2POK5twMNiyqDVHTjkx7z9bcNu/NqCu0YMxRVn49+0TNB3ArZe+Oan490/OQb+cFByrbcTVT32FP364E6cc7jb/zeayGlz/z7X4wwc74ZeA74/rg79ff2a3WIw4b1AuXvjRWchIMmPj4RpctGgVln5VikZ329Uycusa0ockSaEKmVxtbwCbNqxAaRtmMxs1b+cXvr1BGlfInD+oJ26a2Ff5b60X5sMDmaEazo8BApURfwy2HAWANA1nqABAn7DqoFEazo+R3X3hQOX/1zVqO3OrMDN07GOKsjS/Ls0cHQqjKuoY2Iui55qXJEl48J3taHB5cXZJNh6+cjg7vBARtULbn35iwKJFi3DrrbfitttuAwAsXrwYH330EZ566iksXLhQ6Lb3VNTj9fVH8Pbmo6hxhn74OndgDq4dX4TpwwtYtktERB3aXWHHgUoHqhpc2HasDp/vrkR1cIF4SEE6Fl07BsMKE2cofUeMRgN+P3MYhhdm4OH3d2JzWS2ue2YtBuenY+rgnujfMxVWsxFV9W5sKqvBZ7sr4QouAk85oycWXTta8/79ekqzmfHSrWfj8U/3Ycnn+/HhtnJ8uK0cZ/fLxsQBOSjOToHBEBj2/M2haqw5UA0pWHT0o3P74f4ZQxO6MuZ0JbmpePeu8/CrN7Zi+Y4KPPtFKV5ccxhTBvfEuL49kJdug9cv4VCVA6v2nsSO43YAQJLFiAe+Mww3TijuVosR5w7MxdtzzsW817fg26N1mP/+Tvz1k324cEgeRvfJRI9UKxpcXuytqMeX+6swpCADf7/hTL13u9s65XAri8KnV22INqwwA1/96kLsqrAjyWLSvG1XSW4olNA6kDcaDXjoiuEYUpCBzWU1mKhxNWt4lYjWVRIAMGNkL9wwoRivrz+C8wf11HTb4S3LRvbO0nTbQKAaa0hBOnZX1OOSYdreOJNsNSE71YpTDjfG99NufowsI8mCvHQbKutdbF8lkJ5rXu9vLceaA9WwmY147HujE7YNMBFRV3WrQMbtdmPjxo349a9/3ezr06ZNw5o1a1r9Ny6XCy5XqGe43W7v1LYr7U249PHVyoJGQUYSvj++D74/rgjFOfxhhIiIIvfs6lK8uelos68VZibhx+eV4OZJ/brlLz8GgwHfH1+E8wblYsln+/HfDUex50Q99pyob/XxQwrSMffiMzB9eH63WiyXmU1G/GLaYMwY0Qt/+XgPPt1diW8OncI3h061+vjzBubil9MHN+v/3p1kJlvw9Kxx+HxPJRZ9vBfbjtVhxc4TWLHzRIvHmowGXD22N+6+cFC3/RlvQM80vDX7XPz7mzI8s/ogyk458fbmY3h7c8s5T3WNHkiSlHCfwyeffBJ//vOfUV5ejuHDh2Px4sWYPHlyq49duXIlLrjgghZf37VrF4YMGSJ0Pw9WBapjemclI9mq/Y1hRqMBwwu1r1IAgH7BAMpqMjabJ6MVg8GA6ycU4/oJ2s+WKs4JBO+SBAzTuEJG9sfvjsRvLx+m+Q2J6UkW5KZZUdXgxhidrmlv/nQSPtl1QpdK5iEF6VhzoBrnDszVfNsA8NbsSfjzR3vwk/P767L9RKfnmld9kwePfLATADB76sBu+zMQEVEkulUgU1VVBZ/Ph/z8/GZfz8/PR0VFRav/ZuHChXjooYe6vO28jCRcMDgPFpMBPzirGOef0RMmY2L94klERNoYXJCGs/r1QE6qDf1yUzFpQA4mDsjplkHM6XplJuOP3x2Je6cNxsq9lVh/qAZHaxrh90vISDZjeGEmzhuYi1F9MhNuAbgzhhVm4LlbzsLx2kZ8vKMCO8vtOF4baCOSn5GEob3SMX14Ae9kDbpgcB4uGJyHHcfr8MW+Kmw7Vgd7sLqgT48UjC3OwkVD8rpVxVVbTEYDbjynL354djHWHQxUWu2vbEBtoxtpNgv69EjGOf1zMLF/TsJ9FuV2MU8++STOPfdc/OMf/8CMGTOwc+dOFBe3vfi+Z88eZGSEFsd79hRfOWA0GHDewNxuOc9hcH46fnxuCfrlpnS762dGkgW/v3wYfFLg91S96NUdYtG1Y3D4lFO3auJUmxlXjumty7Yf/d4oHDzpwDk6zRjs0yMFj/9grC7b7g70XPMyGgyYOboQK/dU4o4pDNyIiNpjkCQpssm3CeD48ePo3bs31qxZg4kTJypf/+Mf/4iXXnoJu3fvbvFvWrtboKioCHV1dc1+YYqE3y/ByBCGiLoxu92OzMzMTn0PTTQ8F0REnRfL30MnTJiAM888E0899ZTytaFDh+Kqq65qtV2MXCFTU1ODrKysqLcXy+eCiCjWJdL3UL3XvIDAzGSbma34iah7ivSa0q0qZHJzc2EymVrcGVBZWdniDgKZzWaDzabOHWMMY4iIiIiIEldn2sXIxo4di6amJgwbNgwPPvhgq23MAPXayxARUWLRe80LAMMYIqIIdKvabKvVinHjxmHFihXNvr5ixQpMmjRJp70iIiIiIqJE0Jl2Mb169cIzzzyDN998E2+99RYGDx6Miy66CKtXr2718QsXLkRmZqbyp6ioSPXjICKi+MM1LyKi+NCtKmQAYN68eZg1axbGjx+PiRMn4plnnkFZWRnuvPNOvXeNiIiIiIgSwOlzcSRJanNWzuDBgzF48GDlvydOnIgjR47gsccew/nnn9/i8ffffz/mzZun/LfcXoaIiIhrXkREsa/bBTLXXXcdqqur8fDDD6O8vBwjRozAsmXL0LdvX713jYiIiIiI4lhn2sW05pxzzsHLL7/c6t+p3V6GiIgSB9e8iIhiX7dqWSabPXs2Dh06BJfLhY0bN7Z65xkREREREVE01GoXs3nzZvTq1Uvt3SMiom6Aa15ERLGt21XIEBERERERidJRu5j7778fx44dw7/+9S8AwOLFi9GvXz8MHz4cbrcbL7/8Mt588028+eabeh4GEREREREJwECGiIiIiIhIJR21iykvL0dZWZnyeLfbjXvvvRfHjh1DcnIyhg8fjg8//BCXXXaZXodARERERESCGCRJkvTeiXhit9uRmZmJuro6ZGRk6L07RERxhd9DQ3guiIg6j99DQ3guiIg6j99Dm+P5ICLqvEi/h3bLGTJERERERERERERERERaYiBDREREREREREREREQkGAMZIiIiIiIiIiIiIiIiwcx670C8kUfu2O12nfeEiCj+yN87Ob6M1xMioq7g9SSE1xMios7j9aQ5XlOIiDov0msKA5ko1dfXAwCKiop03hMiovhVX1+PzMxMvXdDV7yeEBF1Ha8nvJ4QEamB15MAXlOIiLquo2uKQeJtAFHx+/04fvw40tPTYTAYovq3drsdRUVFOHLkCDIyMgTtYWLhOYsOz1f0eM6i09XzJUkS6uvrUVhYCKOxe3fN5PVEWzxn0eM5iw7PV/S6cs54PQnpyvUE4Hs3Wjxf0eM5ix7PWXR4PVEPf0fRFs9ZdHi+osdzFh2t1rxYIRMlo9GIPn36dOk5MjIy+CGIEs9ZdHi+osdzFp2unC/eeRbA64k+eM6ix3MWHZ6v6HX2nPF6EqDG9QTgezdaPF/R4zmLHs9ZdHg96Tr+jqIPnrPo8HxFj+csOqLXvBj/ExERERERERERERERCcZAhoiIiIiIiIiIiIiISDAGMhqy2Wz4/e9/D5vNpveuxA2es+jwfEWP5yw6PF+xga9D9HjOosdzFh2er+jxnMUGvg7R4fmKHs9Z9HjOosPzFRv4OkSP5yw6PF/R4zmLjlbnyyBJkiR0C0RERERERERERERERN0cK2SIiIiIiIiIiIiIiIgEYyBDREREREREREREREQkGAMZIiIiIiIiIiIiIiIiwRjIEBERERERERERERERCcZARkNPPvkkSkpKkJSUhHHjxuGLL77Qe5di0vz582EwGJr9KSgo0Hu3Ysrq1asxc+ZMFBYWwmAw4J133mn295IkYf78+SgsLERycjKmTp2KHTt26LOzMaKjc3bLLbe0eN+dc845+uxsDFi4cCHOOusspKenIy8vD1dddRX27NnT7DF8n+mH15PI8ZrSPl5PosfrSXR4PYltvJ5EjteTjvGaEh1eT6LD60ns4zUlMryedIzXk+jxmhIdva8pDGQ08vrrr2Pu3Ll44IEHsHnzZkyePBkzZsxAWVmZ3rsWk4YPH47y8nLlz7Zt2/TepZjicDgwevRoLFmypNW/f/TRR7Fo0SIsWbIE69evR0FBAS655BLU19drvKexo6NzBgCXXnpps/fdsmXLNNzD2LJq1SrMmTMHa9euxYoVK+D1ejFt2jQ4HA7lMXyf6YPXk+jxmtI2Xk+ix+tJdHg9iV28nkSP15P28ZoSHV5PosPrSWzjNSU6vJ60j9eT6PGaEh3drykSaeLss8+W7rzzzmZfGzJkiPTrX/9apz2KXb///e+l0aNH670bcQOA9Pbbbyv/7ff7pYKCAulPf/qT8rWmpiYpMzNTevrpp3XYw9hz+jmTJEm6+eabpSuvvFKX/YkHlZWVEgBp1apVkiTxfaYnXk+iw2tK5Hg9iR6vJ9Hj9SR28HoSHV5PosNrSnR4PYkeryexhdeUyPF6Eh1eT6LHa0r0tL6msEJGA263Gxs3bsS0adOafX3atGlYs2aNTnsV2/bt24fCwkKUlJTgBz/4AQ4ePKj3LsWN0tJSVFRUNHu/2Ww2TJkyhe+3DqxcuRJ5eXk444wzcPvtt6OyslLvXYoZdXV1AIDs7GwAfJ/phdeTzuE1pXP4Oe88Xk/axutJbOD1pHN4Pek8ftY7h9eTtvF6Ejt4TYkeryedx8965/Ga0jatrykMZDRQVVUFn8+H/Pz8Zl/Pz89HRUWFTnsVuyZMmIB//etf+Oijj/Dss8+ioqICkyZNQnV1td67Fhfk9xTfb9GZMWMGXnnlFXz22Wf4y1/+gvXr1+PCCy+Ey+XSe9d0J0kS5s2bh/POOw8jRowAwPeZXng9iR6vKZ3Hz3nn8HrSNl5PYgevJ9Hj9aRr+FmPHq8nbeP1JLbwmhIdXk+6hp/1zuE1pW16XFPMXX4GipjBYGj235IktfgaBb5JyEaOHImJEydiwIABePHFFzFv3jwd9yy+8P0Wneuuu075/yNGjMD48ePRt29ffPjhh7j66qt13DP93XXXXdi6dSu+/PLLFn/H95k+eN4jx2tK1/H9Fh1eT9rG60ns4XmPHK8n6uB7LnK8nrSN15PYxHMfGV5P1MH3W3R4TWmbHtcUVshoIDc3FyaTqUWCVllZ2SJpo5ZSU1MxcuRI7Nu3T+9diQsFBQUAwPdbF/Xq1Qt9+/bt9u+7u+++G++99x4+//xz9OnTR/k632f64PWk63hNiRw/5+rg9SSA15PYwutJ1/F6Eh1+1ruO15MAXk9iD68pXcPrSXT4WVcHrykBel1TGMhowGq1Yty4cVixYkWzr69YsQKTJk3Saa/ih8vlwq5du9CrVy+9dyUulJSUoKCgoNn7ze12Y9WqVXy/RaG6uhpHjhzptu87SZJw11134a233sJnn32GkpKSZn/P95k+eD3pOl5TIsfPuTp4PeH1JBbxetJ1vJ5Eh5/1ruP1hNeTWMVrStfwehIdftbVwWuKvtcUtizTyLx58zBr1iyMHz8eEydOxDPPPIOysjLceeedeu9azLn33nsxc+ZMFBcXo7KyEo888gjsdjtuvvlmvXctZjQ0NGD//v3Kf5eWlmLLli3Izs5GcXEx5s6diwULFmDQoEEYNGgQFixYgJSUFFx//fU67rW+2jtn2dnZmD9/Pq655hr06tULhw4dwm9+8xvk5ubiu9/9ro57rZ85c+bg1Vdfxbvvvov09HTlroDMzEwkJyfDYDDwfaYTXk+iw2tK+3g9iR6vJ9Hh9SR28XoSHV5POsZrSnR4PYkOryexjdeUyPF60jFeT6LHa0p0dL+mSKSZv//971Lfvn0lq9UqnXnmmdKqVav03qWYdN1110m9evWSLBaLVFhYKF199dXSjh079N6tmPL5559LAFr8ufnmmyVJkiS/3y/9/ve/lwoKCiSbzSadf/750rZt2/TdaZ21d86cTqc0bdo0qWfPnpLFYpGKi4ulm2++WSorK9N7t3XT2rkCIL3wwgvKY/g+0w+vJ5HjNaV9vJ5Ej9eT6PB6Ett4PYkcrycd4zUlOryeRIfXk9jHa0pkeD3pGK8n0eM1JTp6X1MMwZ0gIiIiIiIiIiIiIiIiQThDhoiIiIiIiIiIiIiISDAGMkRERERERERERERERIIxkCEiIiIiIiIiIiIiIhKMgQwREREREREREREREZFgDGSIiIiIiIiIiIiIiIgEYyBDREREREREREREREQkGAMZIiIiIiIiIiIiIiIiwRjIEBERERERERERERERCcZAhiiBPPjgg7DZbLj++uv13hUiIopjvJ4QEZEaeD0hIiK18JpCicIgSZKk904QkTrsdjteeukl3HXXXdi3bx8GDhyo9y4REVEc4vWEiIjUwOsJERGphdcUShSskCFKIBkZGfjxj38Mo9GIbdu26b07REQUp3g9ISIiNfB6QkREauE1hRIFAxmiBOP1epGSkoLt27frvStERBTHeD0hIiI18HpCRERq4TWFEgEDGaIE8+CDD6KhoYEXJyIi6hJeT4iISA28nhARkVp4TaFEwBkyRAlk48aNmDRpEi655BKUlpZix44deu8SERHFIV5PiIhIDbyeEBGRWnhNoUTBQIYoQfj9fpx99tmYMmUKJkyYgBtuuAEOhwNWq1XvXSMiojjC6wkREamB1xMiIlILrymUSNiyjChBPPHEEzh58iQefvhhjBw5El6vF3v27NF7t4iIKM7wekJERGrg9YSIiNTCawolEgYyRAng2LFj+O1vf4snn3wSqampGDRoEGw2G3tqEhFRVHg9ISIiNfB6QkREauE1hRINAxmiBHDPPfdgxowZ+M53vgMAMJvNGDp0KC9OREQUFV5PiIhIDbyeEBGRWnhNoURj1nsHiKhrPvjgA3z22WfYtWtXs6+PHDmSFyciIooYrydERKQGXk+IiEgtvKZQIjJIkiTpvRNERERERERERERERESJjC3LiIiIiIiIiIiIiIiIBGMgQ0REREREREREREREJBgDGSIiIiIiIiIiIiIiIsEYyBAREREREREREREREQnGQIaIiIiIiIiIiIiIiEgwBjJERERERERERERERESCMZAhIiIiIiIiIiIiIiISjIEMERERERERERERERGRYAxkiIiIiIiIiIiIiIiIBGMgQ0REREREREREREREJBgDGSIiIiIiIiIiIiIiIsEYyBAREREREREREREREQn2/zcvVKq8H3BmAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "time = np.linspace(0,20,200)\n", + "\n", + "plt.figure(figsize=(20,4))\n", + "\n", + "plt.subplot(1,4,1)\n", + "plt.plot(time, t(time))\n", + "plt.xlabel(\"$\\lambda$\")\n", + "plt.ylabel(r\"$t(\\lambda)$ (s)\")\n", + "\n", + "plt.subplot(1,4,2)\n", + "plt.plot(time, r(time))\n", + "plt.xlabel(\"$\\lambda$\")\n", + "plt.ylabel(\"$r(\\lambda)$ (au)\")\n", + "\n", + "plt.subplot(1,4,3)\n", + "plt.plot(time, theta(time))\n", + "plt.xlabel(\"$\\lambda$\")\n", + "plt.ylabel(r\"$\\theta(\\lambda)$\")\n", + "\n", + "plt.subplot(1,4,4)\n", + "plt.plot(time, phi(time))\n", + "plt.xlabel(\"$\\lambda$\")\n", + "plt.ylabel(r\"$\\phi(\\lambda)$\")" + ] + }, + { + "cell_type": "markdown", + "id": "eda2e9a0", + "metadata": {}, + "source": [ + "## Plunging Orbits\n", + "\n", + "Plunging orbits are parametrized using the spin parameter and the three constants of motion.\n", + "\n", + "$a$ - dimensionless spin of the primary\n", + "
\n", + "$\\mathcal{E}$ - dimensionless energy\n", + "
\n", + "$\\mathcal{L}$ - dimensionless angular momentum\n", + "
\n", + "$Q$ - dimensionless carter constant\n", + "
\n", + "\n", + "Construct a [`PlungingOrbit`](plunging_orbit.PlungingOrbit) by passing in these four parameters and use the [`trajectory()`](plunging_orbit.PlungingOrbit.trajectory) method to compute the trajectory. As with non-plunging orbits, the `initial_phases` option sets the initial phases $(q_{t_0},q_{r_0},q_{\\theta_0},q_{\\phi_0})$ and the `distance_units` and `time_units` options can be used to specify units if `M` and `mu` are given." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "82b05d57", + "metadata": {}, + "outputs": [], + "source": [ + "orbit = kg.PlungingOrbit(0.9, 0.94, 0.1, 12, M=1e6, mu=10)\n", + "\n", + "t, r, theta, phi = orbit.trajectory(initial_phases=(0,pi,0,0),\n", + " distance_units=\"au\", \n", + " time_units=\"mks\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "1339e69e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, '$\\\\phi(\\\\lambda)$')" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "time = np.linspace(0,20,200)\n", + "\n", + "plt.figure(figsize=(22,4))\n", + "\n", + "plt.subplot(1,4,1)\n", + "plt.plot(time, t(time))\n", + "plt.xlabel(\"$\\lambda$\")\n", + "plt.ylabel(r\"$t(\\lambda) (s)$\")\n", + "\n", + "plt.subplot(1,4,2)\n", + "plt.plot(time, r(time))\n", + "plt.xlabel(\"$\\lambda$\")\n", + "plt.ylabel(\"$r(\\lambda)$ (au)\")\n", + "\n", + "plt.subplot(1,4,3)\n", + "plt.plot(time, theta(time))\n", + "plt.xlabel(\"$\\lambda$\")\n", + "plt.ylabel(r\"$\\theta(\\lambda)$\")\n", + "\n", + "plt.subplot(1,4,4)\n", + "plt.plot(time, phi(time))\n", + "plt.xlabel(\"$\\lambda$\")\n", + "plt.ylabel(r\"$\\phi(\\lambda)$\")" + ] + }, + { + "cell_type": "markdown", + "id": "19655a22", + "metadata": {}, + "source": [ + "## Spacetime\n", + "\n", + "Kerrgeopy provides a [`KerrSpacetime`](spacetime.KerrSpacetime) class to model the spacetime around a spinning black hole. Construct a [`KerrSpacetime`](spacetime.KerrSpacetime) by passing in a dimensionless spin $a$ and mass $M$ in solar masses." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "b5d17ca4", + "metadata": {}, + "outputs": [], + "source": [ + "spacetime = kg.KerrSpacetime(a=0.99,M=1e6)" + ] + }, + { + "cell_type": "markdown", + "id": "df66465c", + "metadata": {}, + "source": [ + "### Metric\n", + "\n", + "Use the [`metric()`](spacetime.KerrSpacetime.metric) method to evaluate the matrix representation of the metric tensor at a given point in Boyer-Linquist coordinates. For example, to compute the metric tensor at $(t=0,r=5,\\theta=\\pi/2,\\phi=0)$, run the following code." + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "73467b7f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-0.6 , 0. , 0. , -0.396 ],\n", + " [ 0. , 1.56444578, 0. , 0. ],\n", + " [ 0. , 0. , 25. , 0. ],\n", + " [-0.396 , 0. , 0. , 26.37214 ]])" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "spacetime.metric(0,5,pi/2,0)" + ] + }, + { + "cell_type": "markdown", + "id": "e708537b", + "metadata": {}, + "source": [ + "### Four-Velocity\n", + "\n", + "Use the [`four_velocity()`](spacetime.KerrSpacetime.four_velocity) method to compute the components of the four velocity by passing in the components of the trajectory and the constants of motion. This method computes the four velocity by subsituting the trajectory and constants of motion into the geodesic equation at the top of this page." + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "d0ce3fe5", + "metadata": {}, + "outputs": [], + "source": [ + "orbit = kg.BoundOrbit(0.99,7,0.2,cos(pi/3))\n", + "\n", + "t, r, theta, phi = orbit.trajectory()\n", + "constants = orbit.constants_of_motion()\n", + "\n", + "t_prime, r_prime, theta_prime, phi_prime = spacetime.four_velocity(t,r,theta,phi,constants)" + ] + }, + { + "cell_type": "markdown", + "id": "340aaf3b", + "metadata": {}, + "source": [ + "The [`norm()`](spacetime.KerrSpacetime.norm) method computes the norm of a four vector, defined as $g_{\\mu\\nu}u^{\\mu}u^{\\nu}$, at a given point in spacetime. We can use this method to verify that the trajectory computed above is a geodesic by checking that the norm of the four-velocity is -1." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "6e08a285", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-1.0001926442209133" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "u = t_prime(1), r_prime(1), theta_prime(1), phi_prime(1)\n", + "\n", + "spacetime.norm(t(1),r(1),theta(1),phi(1),u)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "7d57e4fe", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-2.0, 0.0)" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mino_time = np.linspace(0,20,200)\n", + "\n", + "four_velocity_norm = [spacetime.norm(\n", + " t(time),r(time),theta(time),phi(time),\n", + " [t_prime(time), r_prime(time), theta_prime(time), phi_prime(time)]\n", + " ) \n", + " for time in mino_time]\n", + "\n", + "plt.plot(mino_time, four_velocity_norm)\n", + "plt.xlabel(r\"$\\lambda$\")\n", + "plt.ylabel(\"$g_{\\\\mu\\\\nu}u^{\\\\mu}u^{\\\\nu}$\")\n", + "plt.ylim(-2,0)" + ] + }, + { + "cell_type": "markdown", + "id": "894ff3f6", + "metadata": {}, + "source": [ + "## Initial Conditions\n", + "\n", + "In Progress" + ] + } + ], + "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": "3.10.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/docs/source/notebooks/Tutorial.ipynb b/docs/source/notebooks/Tutorial.ipynb index dd8db4a..f760df1 100644 --- a/docs/source/notebooks/Tutorial.ipynb +++ b/docs/source/notebooks/Tutorial.ipynb @@ -7,25 +7,35 @@ "source": [ "# Getting Started\n", "\n", + "## Installation\n", + "\n", + "Install the latest version of kerrgeopy using pip\n", + "\n", + "```bash\n", + "pip install kerrgeopy\n", + "```\n", + "\n", "## Bound Orbits\n", "\n", - "Bound orbits in kerrgeopy are parametrized by the following:\n", + "Kerrgeopy computes orbits in Boyer-Lindquist coordinates $(t,r,\\theta,\\phi)$. Taking $M$ to represent the mass of the primary body and working in dimensionless units where $G=c=M=1$, bound orbits are parametrized using the following variables:\n", "\n", - "$a$ - dimensionless spin of the primary\n", + "$a$ - spin of the primary body\n", "
\n", - "$p$ - orbital semilatus rectum\n", + "$p$ - orbital semilatus rectum ($\\frac{2r_{\\text{min}}r_{\\text{max}}}{r_{\\text{min}}+r_{\\text{max}}}$)\n", "
\n", - "$e$ - orbital eccentricity\n", + "$e$ - orbital eccentricity ($\\frac{r_{\\text{max}}-r_{\\text{min}}}{r_{\\text{max}}+r_{\\text{min}}}$)\n", "
\n", - "$x$ - cosine of the orbital inclination\n", + "$x$ - cosine of the orbital inclination ($\\cos{\\theta_{\\text{inc}}}$)\n", "
\n", "\n", - "Retrograde orbits are represented using negative values for $a$ or for $x$. First, define an orbit by passing in these four parameters" + "Note that $a$ and $x$ are restricted to values between -1 and 1, while $e$ is restricted to values between 0 and 1. Retrograde orbits are represented using a negative value for $a$ or for $x$. Polar orbits, marginally bound orbits, and orbits around an extreme Kerr black hole are not supported. \n", + "\n", + "First, construct a [`BoundOrbit`](bound_orbit.BoundOrbit) using the four parameters described above." ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 2, "id": "b68a902b", "metadata": {}, "outputs": [], @@ -41,12 +51,12 @@ "id": "bb1022f0", "metadata": {}, "source": [ - "Plot the orbit from $\\lambda = 0$ to $\\lambda = 10$ using the `plot()` method" + "Plot the orbit from $\\lambda = 0$ to $\\lambda = 10$ using the [`plot()`](bound_orbit.BoundOrbit.plot) method" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 3, "id": "61a81092", "metadata": {}, "outputs": [ @@ -65,30 +75,12 @@ "fig, ax = orbit.plot(0,10)" ] }, - { - "cell_type": "markdown", - "id": "2690ec8f", - "metadata": {}, - "source": [ - "Use the `animate()` method to create an animation of the orbit and save it as an mp4 file" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "12b9dea1", - "metadata": {}, - "outputs": [], - "source": [ - "orbit.animate(\"animation.mp4\",0,10)" - ] - }, { "cell_type": "markdown", "id": "268961e0", "metadata": {}, "source": [ - "Next, compute the time, radial, polar and azimuthal components of the trajectory as a function of Mino time using the `trajectory()` method" + "Next, compute the time, radial, polar and azimuthal components of the trajectory as a function of Mino time using the [`trajectory()`](bound_orbit.BoundOrbit.trajectory) method" ] }, { @@ -119,7 +111,7 @@ }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -138,22 +130,22 @@ "\n", "plt.subplot(1,4,1)\n", "plt.plot(time, t(time))\n", - "plt.xlabel(\"time\")\n", + "plt.xlabel(\"$\\lambda$\")\n", "plt.ylabel(r\"$t(\\lambda)$\")\n", "\n", "plt.subplot(1,4,2)\n", "plt.plot(time, r(time))\n", - "plt.xlabel(\"time\")\n", + "plt.xlabel(\"$\\lambda$\")\n", "plt.ylabel(\"$r(\\lambda)$\")\n", "\n", "plt.subplot(1,4,3)\n", "plt.plot(time, theta(time))\n", - "plt.xlabel(\"time\")\n", + "plt.xlabel(\"$\\lambda$\")\n", "plt.ylabel(r\"$\\theta(\\lambda)$\")\n", "\n", "plt.subplot(1,4,4)\n", "plt.plot(time, phi(time))\n", - "plt.xlabel(\"time\")\n", + "plt.xlabel(\"$\\lambda$\")\n", "plt.ylabel(r\"$\\phi(\\lambda)$\")" ] }, @@ -170,7 +162,7 @@ "id": "6fc7c3ec", "metadata": {}, "source": [ - "Use the `constants_of_motion()` method to compute the dimensionless energy, angular momentum and carter constant. Frequencies of motion can be computed in Mino time using the `mino_frequencies()` method and in Boyer-Lindquist time using the `observer_frequencies()` method." + "Use the [`constants_of_motion()`](bound_orbit.BoundOrbit.constants_of_motion) method to compute the dimensionless energy, angular momentum and carter constant. Frequencies of motion can be computed in Mino time using the [`mino_frequencies()`](bound_orbit.BoundOrbit.mino_frequencies) method and in Boyer-Lindquist time using the [`observer_frequencies()`](bound_orbit.BoundOrbit.observer_frequencies) method." ] }, { @@ -270,7 +262,7 @@ "id": "56e2bc20", "metadata": {}, "source": [ - "If the masses of the two bodies are defined, then kerrgeopy can also compute constants and frequencies of motion in physical units. `M` and `mu` are used to define the mass of the primary and secondary body respectively in solar masses." + "If the masses of the two bodies are defined, then kerrgeopy can also compute constants and frequencies of motion in physical units. `M` and `mu` define the mass of the primary and secondary body respectively in solar masses." ] }, { @@ -402,19 +394,19 @@ "\n", "$a$ - dimensionless spin of the primary\n", "
\n", - "$\\mathcal{E}$ - energy\n", + "$\\mathcal{E}$ - dimensionless energy\n", "
\n", - "$\\mathcal{L}$ - angular momentum\n", + "$\\mathcal{L}$ - dimensionless angular momentum\n", "
\n", - "$Q$ - carter constant\n", + "$Q$ - dimensionless carter constant\n", "
\n", "\n", - "Construct a plunging orbit by passing in these four parameters." + "Construct a [`PlungingOrbit`](plunging_orbit.PlungingOrbit) by passing in these four parameters." ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 6, "id": "befb9523", "metadata": {}, "outputs": [], @@ -427,12 +419,12 @@ "id": "31281448", "metadata": {}, "source": [ - "As before, the components of the trajectory can be computed using the `trajectory()` method" + "As before, the components of the trajectory can be computed using the [`trajectory()`](plunging_orbit.PlungingOrbit.trajectory) method" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 7, "id": "214fa2c9", "metadata": {}, "outputs": [], @@ -442,7 +434,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 8, "id": "20655542", "metadata": {}, "outputs": [ @@ -452,13 +444,13 @@ "Text(0, 0.5, '$\\\\phi(\\\\lambda)$')" ] }, - "execution_count": 12, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -477,22 +469,22 @@ "\n", "plt.subplot(1,4,1)\n", "plt.plot(time, t(time))\n", - "plt.xlabel(\"time\")\n", + "plt.xlabel(\"$\\lambda$\")\n", "plt.ylabel(r\"$t(\\lambda)$\")\n", "\n", "plt.subplot(1,4,2)\n", "plt.plot(time, r(time))\n", - "plt.xlabel(\"time\")\n", + "plt.xlabel(\"$\\lambda$\")\n", "plt.ylabel(\"$r(\\lambda)$\")\n", "\n", "plt.subplot(1,4,3)\n", "plt.plot(time, theta(time))\n", - "plt.xlabel(\"time\")\n", + "plt.xlabel(\"$\\lambda$\")\n", "plt.ylabel(r\"$\\theta(\\lambda)$\")\n", "\n", "plt.subplot(1,4,4)\n", "plt.plot(time, phi(time))\n", - "plt.xlabel(\"time\")\n", + "plt.xlabel(\"$\\lambda$\")\n", "plt.ylabel(r\"$\\phi(\\lambda)$\")" ] }, @@ -509,7 +501,7 @@ "id": "f52bdce3", "metadata": {}, "source": [ - "kerrgeopy also provides a method for computing the value of $p$ at the separatrix given values for $a$, $e$ and $x$." + "The separatrix is the boundary in parameter space between stable and unstable orbits. Kerrgeopy provides a [`separatrix()`](constants.separatrix) method for computing the value of $p$ at the separatrix given values for $a$, $e$ and $x$. If $e$ is set to 0 and $x$ is set to 1, this gives the radius of the innermost stable circular orbit." ] }, { @@ -538,7 +530,7 @@ "id": "cc1bab19", "metadata": {}, "source": [ - "For better performance, use the `fast_separatrix()` method to construct a faster separatrix function for a given value of $a$ by interpolating from a grid of $e$ and $x$ values. The function returned by this method is slightly less accurate but runs around 100 times faster." + "For better performance, use the [`fast_separatrix()`](constants.fast_separatrix) method to construct a faster separatrix function for a given value of $a$ by interpolating from a grid of $e$ and $x$ values. The function returned by this method is slightly less accurate but runs around 100 times faster." ] }, { diff --git a/kerrgeopy/__init__.py b/kerrgeopy/__init__.py index 9617d8e..b099857 100644 --- a/kerrgeopy/__init__.py +++ b/kerrgeopy/__init__.py @@ -1,6 +1,11 @@ -__all__ = ["constants", "frequencies", "bound_orbit", "plunging_orbit"] +""" +Python package for computing plunging and non-plunging geodesics in Kerr spacetime. +""" +__all__ = ["units","constants", "frequencies", "bound_orbit", "plunging_orbit"] from kerrgeopy import * from kerrgeopy.frequencies import * from kerrgeopy.constants import * from kerrgeopy.bound_orbit import BoundOrbit from kerrgeopy.plunging_orbit import PlungingOrbit +from kerrgeopy.orbit import Orbit +from kerrgeopy.spacetime import KerrSpacetime diff --git a/kerrgeopy/bound_orbit.py b/kerrgeopy/bound_orbit.py index c85efc9..55c3b28 100644 --- a/kerrgeopy/bound_orbit.py +++ b/kerrgeopy/bound_orbit.py @@ -1,3 +1,6 @@ +""" +Module containing the BoundOrbit class +""" from .constants import * from .frequencies import * from .bound_solutions import * @@ -9,7 +12,7 @@ class BoundOrbit(Orbit): """ - Class representing a bound geodesic orbit in Kerr spacetime. + Class representing a bound orbit in Kerr spacetime. :param a: dimensionless angular momentum (must satisfy 0 <= a < 1) :type a: double diff --git a/kerrgeopy/bound_solutions.py b/kerrgeopy/bound_solutions.py index 688482d..1fe2bff 100644 --- a/kerrgeopy/bound_solutions.py +++ b/kerrgeopy/bound_solutions.py @@ -1,3 +1,6 @@ +""" +Module containing functions to compute intermediate terms in the bound orbit solutions of Fujita and Hikida (arXiv:0906.1420). +""" from .constants import * from .frequencies_from_constants import _ellippi from .frequencies_from_constants import * diff --git a/kerrgeopy/constants.py b/kerrgeopy/constants.py index 19c7630..f3cb90e 100644 --- a/kerrgeopy/constants.py +++ b/kerrgeopy/constants.py @@ -1,3 +1,6 @@ +""" +Module containing functions for computing the constants of motion for bound orbits using the :math:`(a,p,e,x)` parametrization. +""" from numpy import sign, sqrt, copysign, inf, nan from math import pi from scipy.optimize import root_scalar @@ -345,7 +348,7 @@ def separatrix(a,e,x): def fast_separatrix(a, grid_spacing=0.01): """ - Constructs a faster separatrix function for a given value of a by interpolating over a grid of e and x values. + Constructs a faster separatrix function for a given value of :math:`a` by interpolating over a grid of :math:`e` and :math:`x` values. :param a: dimensionless spin of the black hole :type a: double diff --git a/kerrgeopy/frequencies.py b/kerrgeopy/frequencies.py index c509343..d98f885 100644 --- a/kerrgeopy/frequencies.py +++ b/kerrgeopy/frequencies.py @@ -1,3 +1,6 @@ +""" +Module containing functions for computing frequencies of motion for bound orbits using the :math:`(a,p,e,x)` parametrization. +""" from .constants import _standardize_params from .frequencies_from_constants import * from .frequencies_from_constants import _radial_roots, _polar_roots, _ellippi diff --git a/kerrgeopy/frequencies_from_constants.py b/kerrgeopy/frequencies_from_constants.py index 6fd863c..4708b2c 100644 --- a/kerrgeopy/frequencies_from_constants.py +++ b/kerrgeopy/frequencies_from_constants.py @@ -1,3 +1,6 @@ +""" +Module containing functions for computing frequencies of motion from the spin parameter, constants of motion, and radial and polar roots. +""" from scipy.special import ellipk, ellipe, elliprj, elliprf from .constants import * @@ -75,7 +78,7 @@ def r_frequency_from_constants(constants,radial_roots): :param constants: dimensionless constants of motion for the orbit in the form :math:`(E,L,Q)` :type constants: tuple(double, double, double) - :param radial_roots: tuple containing the four roots of the radial equation + :param radial_roots: tuple containing the four roots of the radial equation :math:`(r_1, r_2, r_3, r_4)`. Assumes that motion is between r1 and r2 and that roots are otherwise in ascending order. :type radial_roots: tuple(double, double, double, double) :rtype: double @@ -96,7 +99,7 @@ def theta_frequency_from_constants(a,constants,radial_roots,polar_roots): :type a: double :param constants: dimensionless constants of motion for the orbit in the form :math:`(E,L,Q)` :type constants: tuple(double, double, double) - :param radial_roots: tuple containing the four roots of the radial polynomial + :param radial_roots: tuple containing the four roots of the radial polynomial :math:`(r_1, r_2, r_3, r_4)`. Assumes that motion is between r1 and r2 and that roots are otherwise in ascending order. :type radial_roots: tuple(double, double, double, double) :param polar_roots: tuple containing the roots of the polar equation :math:`(z_-, z_+)` :type polar_roots: tuple(double, double) @@ -130,7 +133,7 @@ def phi_frequency_from_constants(a,constants,radial_roots,polar_roots,upsilon_r= :type a: double :param constants: dimensionless constants of motion for the orbit in the form :math:`(E,L,Q)` :type constants: tuple(double, double, double) - :param radial_roots: tuple containing the four roots of the radial polynomial + :param radial_roots: tuple containing the four roots of the radial polynomial :math:`(r_1, r_2, r_3, r_4)`. Assumes that motion is between r1 and r2 and that roots are otherwise in ascending order. :type radial_roots: tuple(double, double, double, double) :param polar_roots: tuple containing the roots of the polar equation :math:`(z_-, z_+)` :type polar_roots: tuple(double, double) @@ -184,7 +187,7 @@ def gamma_from_constants(a,constants,radial_roots,polar_roots,upsilon_r=None,ups :type a: double :param constants: dimensionless constants of motion for the orbit in the form :math:`(E,L,Q)` :type constants: tuple(double, double, double) - :param radial_roots: tuple containing the four roots of the radial polynomial + :param radial_roots: tuple containing the four roots of the radial polynomial :math:`(r_1, r_2, r_3, r_4)`. Assumes that motion is between r1 and r2 and that roots are otherwise in ascending order. :type radial_roots: tuple(double, double, double, double) :param polar_roots: tuple containing the roots of the polar equation :math:`(z_-, z_+)` :type polar_roots: tuple(double, double) @@ -242,7 +245,7 @@ def mino_frequencies_from_constants(a,constants,radial_roots,polar_roots): :type a: double :param constants: dimensionless constants of motion for the orbit in the form :math:`(E,L,Q)` :type constants: tuple(double, double, double) - :param radial_roots: tuple containing the four roots of the radial polynomial + :param radial_roots: tuple containing the four roots of the radial polynomial :math:`(r_1, r_2, r_3, r_4)`. Assumes that motion is between r1 and r2 and that roots are otherwise in ascending order. :type radial_roots: tuple(double, double, double, double) :param polar_roots: tuple containing the roots of the polar equation :math:`(z_-, z_+)` :type polar_roots: tuple(double, double) @@ -265,7 +268,7 @@ def observer_frequencies_from_constants(a,constants,radial_roots,polar_roots): :type a: double :param constants: dimensionless constants of motion for the orbit in the form :math:`(E,L,Q)` :type constants: tuple(double, double, double) - :param radial_roots: tuple containing the four roots of the radial polynomial + :param radial_roots: tuple containing the four roots of the radial polynomial :math:`(r_1, r_2, r_3, r_4)`. Assumes that motion is between r1 and r2 and that roots are otherwise in ascending order. :type radial_roots: tuple(double, double, double, double) :param polar_roots: tuple containing the roots of the polar equation :math:`(z_-, z_+)` :type polar_roots: tuple(double, double) diff --git a/kerrgeopy/orbit.py b/kerrgeopy/orbit.py index 2946a55..6470941 100644 --- a/kerrgeopy/orbit.py +++ b/kerrgeopy/orbit.py @@ -1,3 +1,6 @@ +""" +Module containing the Orbit class +""" from numpy import sin, cos, sqrt, pi from numpy.polynomial import Polynomial import numpy as np @@ -7,7 +10,7 @@ class Orbit: r""" - Class representing an orbit in Kerr spacetime. + Class representing an orbit in Kerr spacetime defined using initial conditions. :param a: spin parameter :type a: double @@ -184,7 +187,8 @@ def is_visible(self,point,elevation,azimuth): def animate(self,filename,lambda0=0, lambda1=10, elevation=30 ,azimuth=-60, initial_phases=(0,0,0,0), grid=True, axes=True, thickness=2, tail_length="long"): """ - Saves an animation of the orbit as an mp4 file + Saves an animation of the orbit as an mp4 file. + Note that this function requires ffmpeg to be installed and may take several minutes to run depending on the length of the animation. :param filename: filename to save the animation to :type filename: str diff --git a/kerrgeopy/plunging_orbit.py b/kerrgeopy/plunging_orbit.py index f8d79d3..c319300 100644 --- a/kerrgeopy/plunging_orbit.py +++ b/kerrgeopy/plunging_orbit.py @@ -1,3 +1,6 @@ +""" +Module containing the PlungingOrbit class +""" from .plunging_solutions import * from .plunging_solutions import _plunging_radial_roots from .bound_solutions import * @@ -6,7 +9,7 @@ class PlungingOrbit(Orbit): """ - Class representing a plunging orbit + Class representing a plunging orbit in Kerr spacetime. :param a: dimensionaless spin parameter :type a: double @@ -16,6 +19,10 @@ class PlungingOrbit(Orbit): :type L: double :param Q: dimensionless Carter constant :type Q: double + :param M: mass of the primary in solar masses, optional + :type M: double + :param mu: mass of the smaller body in solar masses, optional + :type mu: double :ivar a: dimensionaless spin parameter :ivar E: dimensionless energy @@ -24,29 +31,37 @@ class PlungingOrbit(Orbit): :ivar upsilon_r: radial Mino frequency :ivar upsilon_theta: polar Mino frequency """ - def __init__(self,a,E,L,Q): - self.a, self.E, self.L, self.Q = a, E, L, Q + def __init__(self,a,E,L,Q,M=None,mu=None): + self.a, self.E, self.L, self.Q, self.M, self.mu = a, E, L, Q, M, mu self.upsilon_r, self.upsilon_theta = plunging_mino_frequencies(a,E,L,Q) - def trajectory(self,initial_phases=(0,0,0,0)): + def trajectory(self,initial_phases=(0,0,0,0),distance_units="natural",time_units="natural"): r""" Computes the components of the trajectory as a function of mino time :param initial_phases: tuple of initial phases, defaults to (0,0,0,0) :type initial_phases: tuple, optional + :param distance_units: units to compute the radial component of the trajectory in (options are "natural", "mks", "cgs", "au" and "km"), defaults to "natural" + :type distance_units: str, optional + :param time_units: units to compute the time component of the trajectory in (options are "natural", "mks", "cgs", and "days"), defaults to "natural" + :type time_units: str, optional :return: tuple of functions :math:`t(\lambda), r(\lambda), \theta(\lambda), \phi(\lambda)` :rtype: tuple(function,function,function,function) """ + + if distance_units != "natural" and (self.M is None or self.mu is None): raise ValueError("M and mu must be specified to convert r to physical units") + if time_units != "natural" and (self.M is None or self.mu is None): raise ValueError("M and mu must be specified to convert t to physical units") + a, E, L, Q = self.a, self.E, self.L, self.Q radial_roots = _plunging_radial_roots(a,E,L,Q) if np.iscomplex(radial_roots[3]): - return self._complex_trajectory(initial_phases) + return self._complex_trajectory(initial_phases,distance_units,time_units) else: - return self._real_trajectory(initial_phases) + return self._real_trajectory(initial_phases,distance_units,time_units) - def _complex_trajectory(self,initial_phases=(0,0,0,0)): + def _complex_trajectory(self,initial_phases=(0,0,0,0), distance_units="natural",time_units="natural"): """ Computes the components of the trajectory in the case of two complex and two real radial roots @@ -61,15 +76,18 @@ def _complex_trajectory(self,initial_phases=(0,0,0,0)): theta_phases, t_theta, phi_theta = plunging_polar_solutions(a,E,L,Q) q_t0, q_r0, q_theta0, q_phi0 = initial_phases + distance_conversion_func = {"natural": lambda x,M: x, "mks": distance_in_meters, "cgs": distance_in_cm, "au": distance_in_au,"km": distance_in_km} + time_conversion_func = {"natural": lambda x,M: x, "mks": time_in_seconds, "cgs": time_in_seconds, "days": time_in_days} + # Calculate normalization constants so that t = 0 and phi = 0 at lambda = 0 when q_t0 = 0 and q_phi0 = 0 C_t = t_r(q_r0)+t_theta(q_theta0) C_phi= phi_r(q_r0)+phi_theta(q_theta0) def t(mino_time): - return t_r(upsilon_r*mino_time+q_r0) + t_theta(upsilon_theta*mino_time+q_theta0) + a*L*mino_time - C_t + q_t0 + return time_conversion_func[time_units](t_r(upsilon_r*mino_time+q_r0) + t_theta(upsilon_theta*mino_time+q_theta0) + a*L*mino_time - C_t + q_t0, self.M) def r(mino_time): - return r_phases(upsilon_r*mino_time+q_r0) + return distance_conversion_func[distance_units](r_phases(upsilon_r*mino_time+q_r0), self.M) def theta(mino_time): return theta_phases(upsilon_theta*mino_time+q_theta0) @@ -79,7 +97,7 @@ def phi(mino_time): return t, r, theta, phi - def _real_trajectory(self,initial_phases=(0,0,0,0)): + def _real_trajectory(self,initial_phases=(0,0,0,0),distance_units="natural",time_units="natural"): """ Computes the components of the trajectory in the case of four real radial roots @@ -99,16 +117,19 @@ def _real_trajectory(self,initial_phases=(0,0,0,0)): theta_phases, t_theta, phi_theta = polar_solutions(a,constants,polar_roots) q_t0, q_r0, q_theta0, q_phi0 = initial_phases + distance_conversion_func = {"natural": lambda x,M: x, "mks": distance_in_meters, "cgs": distance_in_cm, "au": distance_in_au,"km": distance_in_km} + time_conversion_func = {"natural": lambda x,M: x, "mks": time_in_seconds, "cgs": time_in_seconds, "days": time_in_days} + # Calculate normalization constants so that t = 0 and phi = 0 at lambda = 0 when q_t0 = 0 and q_phi0 = 0 C_t = t_r(q_r0)+t_theta(q_theta0) C_phi= phi_r(q_r0)+phi_theta(q_theta0) def t(mino_time): # equation 6 - return q_t0 + gamma*mino_time + t_r(upsilon_r*mino_time+q_r0) + t_theta(upsilon_theta*mino_time+q_theta0) - C_t + return time_conversion_func[time_units](q_t0 + gamma*mino_time + t_r(upsilon_r*mino_time+q_r0) + t_theta(upsilon_theta*mino_time+q_theta0) - C_t, self.M) def r(mino_time): - return r_phases(upsilon_r*mino_time+q_r0) + return distance_conversion_func[distance_units](r_phases(upsilon_r*mino_time+q_r0), self.M) def theta(mino_time): return theta_phases(upsilon_theta*mino_time+q_theta0) diff --git a/kerrgeopy/plunging_solutions.py b/kerrgeopy/plunging_solutions.py index 2884806..694cede 100644 --- a/kerrgeopy/plunging_solutions.py +++ b/kerrgeopy/plunging_solutions.py @@ -1,3 +1,6 @@ +""" +Module containing functions to compute intermediate terms in the plunging orbit solutions of Dyson and van de Meent (arXiv:2302.03704). +""" from numpy import sort_complex, sqrt, arctan, arctan2, arccos, log, sin, cos, pi from numpy.polynomial import Polynomial import numpy as np diff --git a/kerrgeopy/spacetime.py b/kerrgeopy/spacetime.py index bcc9b89..a839530 100644 --- a/kerrgeopy/spacetime.py +++ b/kerrgeopy/spacetime.py @@ -1,9 +1,12 @@ +""" +Module containing the KerrSpacetime class +""" from .constants import * from numpy import cos, sin class KerrSpacetime: """ - Class representing a black hole with mass M and spin parameter a + Class representing spacetime around a black hole with mass :math:`M` and spin parameter :math:`a` :param a: dimensionless angular momentum :type a: double @@ -30,16 +33,20 @@ def separatrix(self,e,x): """ return separatrix(self.a,e,x) - def is_stable(self,orbit): + def is_stable(self,p,e,x): """ Determines whether a given orbit is stable or not. - :param orbit: orbit to be tested - :type orbit: Orbit - + :param p: dimensionless semi-latus rectum + :type p: double + :param e: orbital eccentricity + :type e: double + :param x: cosine of the orbital inclination + :type x: double + :rtype: bool """ - return is_stable(self.a,orbit.p,orbit.e,orbit.x) + return is_stable(self.a,p,e,x) def inner_horizon(self): """ @@ -148,4 +155,4 @@ def phi_prime(time): delta = r(time)**2-2*r(time)+a**2 return 1/sigma*(a/delta*(E*(r(time)**2+a**2)-a*L)+L/(1-cos(theta(time))**2)-a*E) - return t_prime, r_prime, theta_prime, phi_prime + return t_prime, r_prime, theta_prime, phi_prime \ No newline at end of file diff --git a/kerrgeopy/units.py b/kerrgeopy/units.py index 213ac5c..1fd8612 100644 --- a/kerrgeopy/units.py +++ b/kerrgeopy/units.py @@ -1,3 +1,6 @@ +""" +Module containing functions to convert between geometrized units and physical units. +""" # https://en.wikipedia.org/wiki/Geometrized_unit_system # speed of light in m/s diff --git a/setup.py b/setup.py index b2d22c2..1cee60b 100644 --- a/setup.py +++ b/setup.py @@ -3,7 +3,7 @@ setup( name="kerrgeopy", - version="0.0.3", + version="0.1.0", author="Seyong Park", description="Library for computing bound and plunging geodesics in Kerr spacetime", url="https://github.com/syp2001/KerrGeoPy",