{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "provenance": [], "toc_visible": true }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "markdown", "source": [ "# Introduction\n", "\n", "This notebook introduces different classes for **mbtrack2** dealing with RF cavities and longitudinal beam dynamics:\n", "\n", "* The `RFCavity` class is a very simple class using in tracking to model RF cavities using a perfect cosine wave.\n", "\n", "* The `CavityResonator` class is the main class which can be used to model RF cavities self-consistenly considering beam loading. It can be used in tracking to model:\n", "\n", " * Active RF cavity\n", " * Passive RF cavity\n", " * Cavity HOM\n", "\n", " The cavity physics is based on the phasor formalism developped in [1], details of the implementation and benchmark can be found in [2,3].\n", "\n", "* The `BeamLoadingEquilibrium` is used to compute analytically the beam equilibrium profile for a given storage ring and a list of RF cavities of any harmonic. The class assumes an uniform filling of the storage ring.\n", "\n", " The implementation is based on an extention of [4] which is detailed in [3].\n", "\n", "More advanced features of `CavityResonator`, including different kinds of RF loops and feedbacks, are described in this notebook:\n", "[](https://colab.research.google.com/github/GamelinAl/mbtrack2_examples/blob/main/mbtrack2_cavity_resonator.ipynb)\n", "\n", "## Convention\n", "mbtrack2 uses the cosine convention for RF voltage.\n", "\n", "## References\n", "\n", "[1] Wilson, P. B. (1994). Fundamental-mode rf design in e+ e− storage ring factories. In Frontiers of Particle Beams: Factories with e+ e-Rings (pp. 293-311). Springer, Berlin, Heidelberg.\n", "\n", "[2] Yamamoto, Naoto, Alexis Gamelin, and Ryutaro Nagaoka. \"Investigation of Longitudinal Beam Dynamics With Harmonic Cavities by Using the Code Mbtrack.\" Proc. 10th International Partile Accelerator Conference (IPAC’19), Melbourne, Australia, 19-24 May 2019. 2019.\n", "\n", "[3] Gamelin, Alexis, and Naoto Yamamoto. \"Equilibrium Bunch Density Distribution with Multiple Active and Passive RF Cavities.\" 12th International Particle Accelerator Conference. 2021.\n", "\n", "[4] Venturini, M. (2018). Passive higher-harmonic rf cavities with general settings and multibunch instabilities in electron storage rings. Physical Review Accelerators and Beams, 21(11), 114404.\n", "\n" ], "metadata": { "id": "IKih_9pcq9Ui" } }, { "cell_type": "markdown", "source": [ "# Initialization" ], "metadata": { "id": "MvPLW4R_Td8L" } }, { "cell_type": "markdown", "source": [ "## mbtrack2 set-up" ], "metadata": { "id": "O5fColz-q2EI" } }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "BKGTZA_EvtF6", "outputId": "9e40ac0e-904e-4a75-dc37-862d6110f562" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Cloning into 'mbtrack2'...\n", "remote: Enumerating objects: 3169, done.\u001b[K\n", "remote: Counting objects: 100% (159/159), done.\u001b[K\n", "remote: Compressing objects: 100% (147/147), done.\u001b[K\n", "remote: Total 3169 (delta 101), reused 15 (delta 12), pack-reused 3010 (from 1)\u001b[K\n", "Receiving objects: 100% (3169/3169), 4.97 MiB | 4.89 MiB/s, done.\n", "Resolving deltas: 100% (2163/2163), done.\n" ] } ], "source": [ "! pip install mbtrack2" ] }, { "cell_type": "code", "source": [ "%cd mbtrack2" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "aIwNdoXlVDus", "outputId": "8f3aa306-1143-48e6-97b3-7edd7f669946" }, "execution_count": 2, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "/content/mbtrack2\n" ] } ] }, { "cell_type": "markdown", "source": [ "## Define a Synchrotron object" ], "metadata": { "id": "-CHO7pYlsa76" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "from mbtrack2.tracking import Synchrotron, Electron\n", "from mbtrack2.utilities import Optics" ], "metadata": { "id": "ewMLyHDOslSD", "outputId": "1eca8f4b-60c1-46cf-f9b8-9586c04cadfd", "colab": { "base_uri": "https://localhost:8080/" } }, "execution_count": 3, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "mbtrack2 version 0.6.0.54\n", "--------------------------------------------------\n", "If used in a publication, please cite mbtrack2 paper and the zenodo archive for the corresponding code version (and other papers for more specific features).\n", "[1] A. Gamelin, W. Foosang, N. Yamamoto, V. Gubaidulin and R. Nagaoka, “mbtrack2”. Zenodo, Mar. 25, 2024. doi: 10.5281/zenodo.10871040.\n", "[2] A. Gamelin, W. Foosang, and R. Nagaoka, “mbtrack2, a Collective Effect Library in Python”, presented at the 12th Int. Particle Accelerator Conf. (IPAC'21), Campinas, Brazil, May 2021, paper MOPAB070.\n", "\n", "\n" ] } ] }, { "cell_type": "code", "source": [ "h = 20 # Harmonic number of the accelerator.\n", "L = 100 # Ring circumference in [m].\n", "E0 = 1.5e9 # Nominal (total) energy of the ring in [eV].\n", "particle = Electron() # Particle considered.\n", "ac = 1e-3 # Momentum compaction factor.\n", "U0 = 200e3 # Energy loss per turn in [eV].\n", "tau = np.array([1e-3, 1e-3, 2e-3]) # Horizontal, vertical and longitudinal damping times in [s].\n", "tune = np.array([12.2, 15.3]) # Horizontal and vertical tunes.\n", "emit = np.array([10e-9, 10e-12]) # Horizontal and vertical equilibrium emittance in [m.rad].\n", "sigma_0 = 15e-12 # Natural bunch length in [s].\n", "sigma_delta = 1e-3 # Equilibrium energy spread.\n", "chro = [2.0, 3.0] # Horizontal and vertical (non-normalized) chromaticities." ], "metadata": { "id": "GH7V8wmmxH4i" }, "execution_count": 4, "outputs": [] }, { "cell_type": "code", "source": [ "local_beta = np.array([3, 2]) # Beta function at the tracking location.\n", "local_alpha = np.array([0, 0]) # Alpha function at the tracking location.\n", "local_dispersion = np.array([0, 0, 0, 0]) # Dispersion function and its derivative at the tracking location.\n", "optics = Optics(local_beta=local_beta, local_alpha=local_alpha,\n", " local_dispersion=local_dispersion)" ], "metadata": { "id": "yY9Fh3JR1rQy" }, "execution_count": 5, "outputs": [] }, { "cell_type": "code", "source": [ "ring = Synchrotron(h=h, optics=optics, particle=particle, L=L, E0=E0, ac=ac,\n", " U0=U0, tau=tau, emit=emit, tune=tune,\n", " sigma_delta=sigma_delta, sigma_0=sigma_0, chro=chro)" ], "metadata": { "id": "WiPq6SDLvbjC" }, "execution_count": 6, "outputs": [] }, { "cell_type": "markdown", "source": [ "## Define a Beam object" ], "metadata": { "id": "xETy3HQMTql_" } }, { "cell_type": "code", "source": [ "from mbtrack2.tracking import Beam" ], "metadata": { "id": "Vcy-pUOYTwp4" }, "execution_count": 7, "outputs": [] }, { "cell_type": "code", "source": [ "filling_pattern = np.ones(ring.h)*0.025\n", "filling_pattern[5:7] = 0.05\n", "filling_pattern[10:12] = 0\n", "mybeam = Beam(ring)\n", "mybeam.init_beam(filling_pattern, mp_per_bunch=1e3)\n", "fig = mybeam.plot(\"bunch_current\")\n", "print(mybeam.current)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 466 }, "id": "T2Gu7M1XTzSc", "outputId": "a9775d9e-0f73-43c3-98f1-d789bf24126f" }, "execution_count": 8, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "0.5000000000000001\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "# RFCavity class" ], "metadata": { "id": "IvqUpee5OXBF" } }, { "cell_type": "markdown", "source": [ "The `RFCavity` class is a very simple class to model RF cavities using a perfect cosine wave." ], "metadata": { "id": "EaCxRIgzOfZn" } }, { "cell_type": "code", "source": [ "from mbtrack2.tracking import RFCavity" ], "metadata": { "id": "_Un3rKy7PFWT" }, "execution_count": 9, "outputs": [] }, { "cell_type": "code", "source": [ "m = 1 # Harmonic number of the cavity\n", "Vc = 1e6 # Total cavity voltage in [V].\n", "theta = np.arccos(ring.U0/Vc) # Total cavity phase in [rad].\n", "RF = RFCavity(ring, m, Vc, theta)" ], "metadata": { "id": "W3yPFAXfPJUr" }, "execution_count": 10, "outputs": [] }, { "cell_type": "markdown", "source": [ "The `track` method of the `RFCavity` class can be called for both `Bunch` and `Beam` elements and simply applies:\n", "\n", "$\\delta = \\delta + \\frac{V_c}{E_0} \\cos(m \\omega_1 \\tau + \\theta)$" ], "metadata": { "id": "DrGl4KxsSX9n" } }, { "cell_type": "code", "source": [ "print(mybeam[0][\"delta\"][:5])\n", "RF.track(mybeam)\n", "print(mybeam[0][\"delta\"][:5])" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "NnUmubbnUyGJ", "outputId": "93bde587-5e1e-43a4-d478-0e8a33c141be" }, "execution_count": 11, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[-0.00070136 -0.00023309 -0.00118755 -0.00025426 -0.00131552]\n", "[-5.77827373e-04 -9.63700266e-05 -1.05731502e-03 -1.24226321e-04\n", " -1.18057734e-03]\n" ] } ] }, { "cell_type": "markdown", "source": [ "# CavityResonator class\n", "The `CavityResonator` can be used to model:\n", "\n", "* Active RF cavities\n", "* Passive RF cavities\n", "* Cavity HOMs\n", "\n", "The cavity physics is based on the phasor formalism developped in [1], details of the implementation and benchmark can be found in [2,3]." ], "metadata": { "id": "ffXq_OnXoFXX" } }, { "cell_type": "code", "source": [ "import matplotlib.pyplot as plt\n", "from mbtrack2.tracking import CavityResonator" ], "metadata": { "id": "f2hjNnrzoYi8" }, "execution_count": 12, "outputs": [] }, { "cell_type": "markdown", "source": [ "Let us define a first `CavityResonator` element, for example to describe the fundamental RF cavity needed for our synchrotron." ], "metadata": { "id": "OtAksc5Bqf6x" } }, { "cell_type": "code", "source": [ "m = 1 # Harmonic number of the cavity\n", "Rs = 5e6 # Shunt impedance of the cavity in [Ohm], defined as 0.5*Vc*Vc/Pc.\n", " # If Ncav = 1, used for the total shunt impedance.\n", " # If Ncav > 1, used for the shunt impedance per cavity.\n", "Q = 35e3 # Quality factor of the cavity.\n", "QL = 5e3 # Loaded quality factor of the cavity.\n", "detune = -100e3 # Detuing of the cavity in [Hz], defined as (fr - m*ring.f1).\n", "Ncav = 4 # Number of cavities.\n", "MC = CavityResonator(ring, m, Rs, Q, QL, detune, Ncav=Ncav)" ], "metadata": { "id": "ebAW1aY_rCR0" }, "execution_count": 13, "outputs": [] }, { "cell_type": "markdown", "source": [ "From this first input, usual quantities are computed:" ], "metadata": { "id": "EFCTmCKVtmsG" } }, { "cell_type": "code", "source": [ "print(MC.beta) # Coupling coefficient of the cavity.\n", "print(MC.fr) # Resonance frequency of the cavity in [Hz].\n", "print(MC.psi) # Tuning angle in [rad].\n", "print(MC.filling_time) # Cavity filling time in [s].\n", "print(MC.loss_factor) # Cavity loss factor in [V/C]." ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "f_XRdEeutedr", "outputId": "11f536d3-80dd-4855-da42-5a7eb96b6fd4" }, "execution_count": 14, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "6.0\n", "59858491.6\n", "-1.5109593939048\n", "2.6588532192798413e-05\n", "107457712837.44363\n" ] } ] }, { "cell_type": "markdown", "source": [ "The full list of parameter, attribute and method are listed in the class docstring and can be accessed by calling:\n", "\n", "```\n", "help(CavityResonator)\n", "```" ], "metadata": { "id": "OgBGRud4sNbS" } }, { "cell_type": "markdown", "source": [ "As this cavity is intented to be an active one, the total voltage and phase must be declared:" ], "metadata": { "id": "7C-P4zzYuPBE" } }, { "cell_type": "code", "source": [ "MC.Vc = 1e6 # Total cavity voltage in [V].\n", "MC.theta = np.arccos(ring.U0/MC.Vc) # Total cavity phase in [rad]." ], "metadata": { "id": "oCn2lTk6rUtr" }, "execution_count": 15, "outputs": [] }, { "cell_type": "markdown", "source": [ "Then class methods can be used to set the optimal tuning point and computing the generator parameters for a given beam current $I_0$:" ], "metadata": { "id": "2fwKN1vDuOJe" } }, { "cell_type": "code", "source": [ "I0 = 0.5 # Total multi-bunch current in [A].\n", "MC.set_optimal_detune(I0) # Set detuning to optimal conditions.\n", "print(MC.detune) # Cavity detuning in [Hz] at optimal condition.\n", "MC.set_generator(I0) # Set generator parameters (Pg, Vgr, theta_gr, Vg and theta_g) for a given current and set of parameters.\n", "print(MC.Pg) # Generator power in [W].\n", "print(MC.Vgr) # Generator voltage at resonance in [V].\n", "print(MC.theta_gr) # Generator phase at resonance in [rad].\n", "print(MC.Vg) # Generator voltage in [V].\n", "print(MC.theta_g) # Generator phase in [rad]." ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "jqbtSTJ6s4Ge", "outputId": "e1592dc9-c98b-4920-ba84-5de02047f957" }, "execution_count": 16, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "-16782.53176803142\n", "126041.66666666666\n", "1571428.5714285714\n", "1.369438406005134\n", "528626.2644652845\n", "0.14173199913728252\n" ] } ] }, { "cell_type": "markdown", "source": [ "The phasor diagram showing the phasor addition of the beam voltage $V_b$ and generator voltage $V_g$ giving the total cavity voltage $V_c$ can be plotted:" ], "metadata": { "id": "DihPkQmzFymv" } }, { "cell_type": "code", "source": [ "fig = MC.plot_phasor(I0)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 459 }, "id": "Ypdhc4McFwXa", "outputId": "680fc391-f18d-4066-a19f-614de50aa343" }, "execution_count": 17, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The power dissipated in the walls, transmitted to the beam and reflected can be computed:" ], "metadata": { "id": "3pvaDaiSIDgH" } }, { "cell_type": "code", "source": [ "print(MC.Pc) # Power dissipated in the cavity walls in [W].\n", "print(MC.Pb(I0)) # Return power transmitted to the beam in [W].\n", "print(MC.Pr(I0)) # Return power reflected back to the generator in [W]." ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "ZQNoawSrIDyA", "outputId": "b613eb60-0679-4c45-a25e-c432e8ab2203" }, "execution_count": 18, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "25000.0\n", "99999.99999999997\n", "1041.666666666686\n" ] } ] }, { "cell_type": "markdown", "source": [ "The reflected power can be minimized if the cavity coupling is set to the optimal value using the `set_optimal_coupling` method:\n", "\n", "\n" ], "metadata": { "id": "Z8D6mvrdJPYS" } }, { "cell_type": "code", "source": [ "MC.set_optimal_coupling(I0) # Set coupling to optimal value.\n", "print(MC.beta) # Coupling coefficient of the cavity.\n", "MC.set_optimal_detune(I0)\n", "MC.set_generator(I0)\n", "print(MC.Pr(I0)) # Return power reflected back to the generator in [W]." ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "VCeGDP9eJOWT", "outputId": "4289ec18-a2ee-46f3-af0d-2b07305df0b6" }, "execution_count": 19, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "4.999999999999998\n", "-1.4551915228366852e-11\n" ] } ] }, { "cell_type": "markdown", "source": [ "The DC Robinson stability (for single RF system) can be checked using the methods `is_DC_Robinson_stable` or `plot_DC_Robinson_stability`:" ], "metadata": { "id": "Ahr1lJIuLazM" } }, { "cell_type": "code", "source": [ "MC.is_DC_Robinson_stable(I0)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "PdZ8GmWxLrVi", "outputId": "4039457e-94b0-4f26-de20-144d8558e2f7" }, "execution_count": 20, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "True" ] }, "metadata": {}, "execution_count": 20 } ] }, { "cell_type": "code", "source": [ "fig = MC.plot_DC_Robinson_stability([-50e3,-5e3])\n", "plt.scatter(MC.detune,I0,c=\"g\")\n", "print(MC.is_DC_Robinson_stable(0.6))\n", "plt.scatter(MC.detune,0.6,c=\"r\")\n", "plt.legend([\"Threshold\",\"stable\",\"unstable\"])" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 507 }, "id": "yOhFgjdFLrSi", "outputId": "1e625c40-4513-421b-de1c-0c12e55770b8" }, "execution_count": 21, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "False\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "<matplotlib.legend.Legend at 0x7b3a2858e080>" ] }, "metadata": {}, "execution_count": 21 }, { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "## Tracking" ], "metadata": { "id": "bT_CpT4F_0tv" } }, { "cell_type": "markdown", "source": [ "Tracking using the `CavityResonator` class is based on the `cavity_phasor` which is the phasor sum of:\n", "+ the `generator_phasor` which is fixed by the generator voltage `Vg` and phase `theta_g` attributes:\n", "\n", "$$\\tilde{V}_{g} = V_{g} e^{j(m \\omega_{1} \\tau + \\theta_{g})}$$\n", "\n", "+ the `beam_phasor` which evolves dynamically at each call of the `track` method depending on the macro-particle positions and charges.\n", "\n", "The beam phasor $\\tilde{V}_b$ is built up by the successive passages of the different particles inside the cavity. Each bunch is binned longitudinally and when a bin of charged particle goes through the RF cavity, it induces a voltage\n", "\n", "$$\\tilde{V}_0 = -2 k_l q_{mp} N_{mp}$$\n", "\n", "Where $k_l$ is the cavity loss factor, $q_{mp}$ is the macroparticle charge, and $N_{mp}$ is the number of macropartiles in the bin.\n", "\n", "The voltage induced by the different particles crossing the cavity between time $t$ and time $t + \\Delta t$ is added to the voltage $\\tilde{V}_{b} (t)$ already present in the cavity at time $t$:\n", "\n", "$$\n", "\\tilde{V}_{b} (t + \\Delta t) = \\tilde{V}_{b} (t) e^{-\\frac{\\Delta t}{\\tau_l}} e^{j\\delta_l \\Delta t} + \\tilde{V}_0 = \\tilde{V}_{b} (t) e^{-\\frac{\\Delta t}{\\tau_l}} e^{j\\delta_l \\Delta t} -2 k_l q_M\n", "$$\n", "\n", "Where $\\tau_l$ is the cavity filling time and $\\delta_l$ is the phase slippage factor.\n", "\n", "As a particle see only half of its wake, the energy change felt by the particles in the bin is:\n", "\n", "$$\\delta = \\delta + \\frac{q}{E_0} \\left [ Re[\\tilde{V}_{g}] + Re[\\tilde{V}_{b}] - q_M k_l \\right]$$\n", "\n", "At the initialization of the `CavityResonator`, the `beam_phasor` attribute is set to zero:" ], "metadata": { "id": "KeXH-A3WWGyH" } }, { "cell_type": "code", "source": [ "print(MC.beam_phasor) # Beam phasor for tracking in [V]\n", "print(MC.cavity_phasor) # Cavity phasor for tracking in [V]\n", "print(MC.cavity_voltage) # Cavity voltage for tracking in [V]\n", "print(MC.cavity_phase) # Cavity phase for tracking in [rad]" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "BwnJdmllhV1h", "outputId": "55b4b166-396d-42e8-d2cd-343e1b0605a7" }, "execution_count": 22, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[0.+0.j]\n", "[485714.28571412+46656.94748183j]\n", "[487950.03647412]\n", "[0.0957646]\n" ] } ] }, { "cell_type": "markdown", "source": [ "Depending on the cavity parameters, it can take a long time (especially for super conducting cavities) to fill the cavity and reach the equilibrium beam loading.\n", "\n", "To speed-up the cavity filling, one should use the `init_phasor` method before starting the tracking." ], "metadata": { "id": "Y5kCnNBjhjZN" } }, { "cell_type": "code", "source": [ "MC.init_phasor(mybeam)\n", "print(MC.beam_phasor) # Beam phasor for tracking in [V]\n", "print(MC.cavity_phasor) # Cavity phasor for tracking in [V]\n", "print(MC.cavity_voltage) # Cavity voltage for tracking in [V]\n", "print(MC.cavity_phase) # Cavity phase for tracking in [rad]" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "PLyRKsWxhiWP", "outputId": "01567cff-20a4-46f8-d5d8-ab1670ed4cc8" }, "execution_count": 23, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[-283883.53096983+933000.63147547j]\n", "[201830.75474429+979657.5789573j]\n", "[1000232.28580621]\n", "[1.3676174]\n" ] } ] }, { "cell_type": "markdown", "source": [ "After the `beam_phasor` initialization, the cavity is filled and the `cavity_voltage` and `cavity_phase` attributes match the objective values `Vc` and `theta` which were set previously." ], "metadata": { "id": "AGi1mcHSlPul" } }, { "cell_type": "code", "source": [ "print(MC.Vc) # Total cavity voltage in [V]. Objective value used in calculations but not in tracking.\n", "print(MC.theta) # Total cavity phase in [rad]. Objective value used in calculations but not in tracking." ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "Y4IpK8W4mnPz", "outputId": "32ca6b4d-42da-4064-e16c-34640b75fbfd" }, "execution_count": 24, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "1000000.0\n", "1.369438406004566\n" ] } ] }, { "cell_type": "markdown", "source": [ "Once the `beam_phasor` initialization is done, just call the `track` method to update both the beam particle energy deviation $\\delta$ and the `beam_phasor`:" ], "metadata": { "id": "Skr9SAQRnA1b" } }, { "cell_type": "code", "source": [ "print(mybeam[0][\"delta\"][:5])\n", "print(MC.beam_phasor)\n", "MC.track(mybeam)\n", "print(mybeam[0][\"delta\"][:5])\n", "print(MC.beam_phasor)" ], "metadata": { "id": "uFca7rCTpVWU", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "ddcb37c7-4272-4572-a6a7-241b56b5fdeb" }, "execution_count": 25, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[-5.77827373e-04 -9.63700266e-05 -1.05731502e-03 -1.24226321e-04\n", " -1.18057734e-03]\n", "[-283883.53096983+933000.63147547j]\n", "[-4.53984817e-04 4.14028612e-05 -9.26763183e-04 6.32551203e-06\n", " -1.04467636e-03]\n", "[-283883.59547312+932996.4387065j]\n" ] } ] }, { "cell_type": "markdown", "source": [ "The value stored in `beam_phasor` corresponds to the last value of the beam phasor at t=0 (synchronous particle) of the first non empty bunch.\n", "\n", "The last value of the beam phasor at t=0 (synchronous particle) of each bunch in stored in the `cavity_phasor_record` attribute." ], "metadata": { "id": "-qa6lLrKojo6" } }, { "cell_type": "code", "source": [ "MC.cavity_phasor_record" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "FDPJPsHHWY94", "outputId": "3390774a-ca7b-4cce-d3ac-78e0845b1b18" }, "execution_count": 26, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([200036.09194052+979657.20893956j, 200035.60313321+979655.25039183j,\n", " 200035.11019246+979653.61267534j, 200034.61732473+979651.42944194j,\n", " 200034.12008955+979649.43032761j, 198238.96016133+979647.50721553j,\n", " 196444.75883405+979648.24111963j, 196446.19226499+979652.47412264j,\n", " 196447.63284473+979657.47676175j, 196449.08216472+979661.9412014j ,\n", " 198245.20254092+979666.74759656j, 200040.36180403+979668.39429939j,\n", " 200039.89056465+979666.79071288j, 200039.41751214+979665.73673562j,\n", " 200038.94152303+979663.68354521j, 200038.46314288+979661.94427288j,\n", " 200037.98301094+979659.86203178j, 200037.49683581+979658.2088997j ,\n", " 200037.00845764+979656.52444428j, 200036.51880305+979654.88173367j])" ] }, "metadata": {}, "execution_count": 26 } ] }, { "cell_type": "markdown", "source": [ "## Passive cavity or HOM\n", "\n" ], "metadata": { "id": "VTTme9ogyDrF" } }, { "cell_type": "markdown", "source": [ "A passive (harmonic) cavity or a cavity HOM can be defined in the same way as an active cavity:" ], "metadata": { "id": "I889WwKa3Aak" } }, { "cell_type": "code", "source": [ "m = 4 # Harmonic number of the cavity\n", "Rs = 4.5e9 # Shunt impedance of the cavity in [Ohm], defined as 0.5*Vc*Vc/Pc.\n", " # If Ncav = 1, used for the total shunt impedance.\n", " # If Ncav > 1, used for the shunt impedance per cavity.\n", "Q = 1e8 # Quality factor of the cavity.\n", "QL = 1e8 # Loaded quality factor of the cavity.\n", "detune = 25e3 # Detuing of the cavity in [Hz], defined as (fr - m*ring.f1).\n", "HC = CavityResonator(ring, m, Rs, Q, QL, detune)" ], "metadata": { "id": "_qCp81Zo1n-u" }, "execution_count": 27, "outputs": [] }, { "cell_type": "markdown", "source": [ "The induced voltage can be estimated:" ], "metadata": { "id": "ohllR8eG3Jj8" } }, { "cell_type": "code", "source": [ "HC.Vb(I0) # Beam voltage in [V]." ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "-nWBy0b42FpF", "outputId": "63287191-1d49-4ca8-bde6-34f099599594" }, "execution_count": 28, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "215861.81892505847" ] }, "metadata": {}, "execution_count": 28 } ] }, { "cell_type": "markdown", "source": [ "If the `CavityResonator` is passive, the **generator voltage** `Vg` and **phase** `theta_g` should **explicitly be set to zero before tracking**:" ], "metadata": { "id": "CSITLGxv3Tf0" } }, { "cell_type": "code", "source": [ "HC.Vg = 0\n", "HC.theta_g = 0" ], "metadata": { "id": "QiSFXSAZ2B4u" }, "execution_count": 29, "outputs": [] }, { "cell_type": "markdown", "source": [ "## Tracking using MPI" ], "metadata": { "id": "YqJtFL_OIvSq" } }, { "cell_type": "markdown", "source": [ "MPI can be used to speed up the tracking when using a `Beam` object by distributing the different `Bunch` objects in different cores.\n", "\n", "To be able to use this feature, **the python code must be run with as many core as there is of `Bunch` objects in the `Beam`.**" ], "metadata": { "id": "KmnutEIbrZgf" } }, { "cell_type": "markdown", "source": [ "MPI parallelisation can be enabled during ``Beam`` initialization by setting the ``mpi`` option to ``True``:" ], "metadata": { "id": "dQLd4_Rym5oz" } }, { "cell_type": "markdown", "source": [ "\n", "\n", "```\n", "mybeam = Beam(ring)\n", "mybeam.init_beam(filling_pattern, mp_per_bunch=1e3, mpi=True)\n", "```\n", "\n" ], "metadata": { "id": "Le0RaqmJIeaO" } }, { "cell_type": "markdown", "source": [ "Compared to the tracking without using MPI, the method `Beam.mpi.share_distributions` must be called before each call of `CavityResonator.track` to compute the bunch profiles and share it between the different cores using MPI." ], "metadata": { "id": "Ha14JRYIssAI" } }, { "cell_type": "markdown", "source": [ "A typical tracking loop using MPI would then be:\n", "\n", "\n", "\n", "```\n", "MC.init_phasor(beam)\n", "HC.init_phasor(beam)\n", "\n", "for i in range(turns):\n", " \n", " long.track(beam) # Longitudinal map\n", " rad.track(beam) # Synchrotron radiation element\n", " beam.mpi.share_distributions(beam) # Using MPI, this line is needed\n", " MC.track(beam) # CavityResonator element\n", " HC.track(beam) # CavityResonator element\n", "```\n", "\n" ], "metadata": { "id": "sUO8Nj4wzLCM" } }, { "cell_type": "markdown", "source": [ "## CavityMonitor" ], "metadata": { "id": "a_B5YgHFHaIA" } }, { "cell_type": "markdown", "source": [ "The `CavityMonitor` can be used to save data from a `CavityResonator` during the tracking.\n", "\n", "The follwing attributes are saved:\n", "\n", "\n", "* Cavity and Beam phasor for at each bunch\n", "* Cavity detuning and angle\n", "* Generator voltage, phase and power\n", "* Shunt impedance, loaded and unload quality factor\n", "\n" ], "metadata": { "id": "vXI4RF7thfdw" } }, { "cell_type": "code", "source": [ "from mbtrack2.tracking.monitors import CavityMonitor, plot_cavitydata" ], "metadata": { "id": "CHF_GzVC5KQD" }, "execution_count": 30, "outputs": [] }, { "cell_type": "markdown", "source": [ "Like the other monitors, the `CavityMonitor` must be initialized before the tracking:" ], "metadata": { "id": "pz6oiLwWKx59" } }, { "cell_type": "code", "source": [ "MCmon = CavityMonitor(\"MC\", ring, file_name=\"tracking_test\", save_every=1, buffer_size=10, total_size=100, mpi_mode=False)" ], "metadata": { "id": "yN07pCXd5G6q" }, "execution_count": 31, "outputs": [] }, { "cell_type": "markdown", "source": [ "The `track` method of `CavityMonitor` takes the `Beam` object as first agrument and the saved `CavityResonator` as second agrument." ], "metadata": { "id": "QfvJPLzhLEfu" } }, { "cell_type": "code", "source": [ "from mbtrack2.tracking import LongitudinalMap, SynchrotronRadiation\n", "long = LongitudinalMap(ring)\n", "rad = SynchrotronRadiation(ring)\n", "\n", "for i in range(100):\n", " long.track(mybeam)\n", " rad.track(mybeam)\n", " MC.track(mybeam)\n", " MCmon.track(mybeam, MC)" ], "metadata": { "id": "tywlUGCoKguV" }, "execution_count": 32, "outputs": [] }, { "cell_type": "markdown", "source": [ "The saved data can be plotted using the `plot_cavitydata` function:" ], "metadata": { "id": "tYptR7efLVar" } }, { "cell_type": "code", "source": [ "fig = plot_cavitydata(\"tracking_test.hdf5\",\"MC\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 465 }, "id": "wL7jVkvMLVzL", "outputId": "5689a6c8-ee61-4d41-d545-f95c21d6dae1" }, "execution_count": 33, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 2 Axes>" ], "image/png": 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K27eBqChg2rQVmDt3K/r3n4qrV4E//9yFp089oJQXHj60wqlTAOAJoAfat3/2XF5ewFtvAeXLA1euVISV1UnjXNUXtWnTBgMHDsTFixcxZ84cTJkyJcnfVMeOHTF27Fhs374dtWrVwuzZs1G4cGHUqlXr1f/MRERpISoKCAoCpk8Hbt+W25ycgM6dgR49gCJFtI2PUoXJZ2Zhby8Z3hsoBRxxsUdCQhp+0/vlzU3Es0UlOp28Dzg7P/vp4iKHhUUsFiyYDn//kqhevTQKFrTD1auhmDDhWxw7thM+Ps5wdNShW7dvERUVhVWrVqFOnQ54772SmDLlIwDA5cuxGDVqLt5/vw/eegtQ6j6ACOTKZZpQ+fn5oXz58pg3bx7q1q2LU6dOYe3ata99Fa1bt0bv3r0xdepULFiwAGXLlkXZsmXN+IW92eXLl/HBBx+ge/fu+OGHH+Dq6org4GB06tQJ8fHxJrtbWVgA+fLJUbLkVdjYzMeIEVMBAIsW1cOoUSPQuHFz/POPNa5etcbly9a4eNEakZHOCA/XISpKRp2uXgVWrQKAXgCAPHmAt98GKlcGJJfO99/tefDBBx+gU6dOePToERo0aIB79+699BqKFSuG6tWrY/bs2Xjvvfcwb948dOnShUXjiSj9nDsHTJgAzJ0rK0ABoHBhoE8foGNH84Z5KNPSPPkMCgrChAkTEBUVhfLly2Pq1KmoXLnyK9svWbIEQ4YMweXLl1GsWDGMGzcODRs2NN6vlMKwYcMwa9YsxMTEoFq1asbtqRJFR0ejV69eWL16NSwsLPDRRx/h559/huNzw94bN27EsGHDcOrUKdja2qJGjRqYNGkSChcunC6/B+h0yRr6hgK2bJHeyMQeycSf8fGmx9OnkqwmrthWShIdS0s5rKzkZ2IPXuJhb//sSByudnSUo2vXz3D69CGcOXMUuXKZxhsTEwMXFxcsXboZixYNwc6dj2BhIb2ko0b9DuAYvLyU8b2jdevWqFOnDk6dOoVt27aZ7Gn7IhsbmeuZkJDw0n2dO3fGTz/9hMjISAQEBMDT0/O1v8ImTZqga9eu2LBhAxYsWGBS/qJkyZJ4+vQpQkJCnht2v40zZ868VOz3+dhejOvw4cMwGAyYNGmS8XewePFikzYlSpTAwYMHTW578XqFChVw5swZDBhQFCVLJv16oqOBU6eA0FA5Vqy4jJiYQrhzxxqbNgGbNiW2vIkePe5hzRrAy2sI/v67KQYMaPfaleqdOnVC9+7d8eGHHyIyMhLtn+9uJSJKK4cOAePGAUuXwlg+xN8f+OoroGlT+bCi7EPL1U6LFi1SNjY26vfff1enTp1SXbp0US4uLurGjRtJtt+zZ4+ytLRU48ePV2FhYWrw4MHK2tpanThxwthm7NixytnZWa1YsUIdO3ZMffjhh8rHx8dkpW39+vVV+fLl1f79+9Xu3btV0aJFVatWrYz3X7x4Uen1ejVo0CB1/vx5dfjwYVWjRg3l5+dn1uvLjqvdL1y4oNzd3VWpUqXU33//rc6ePavCwsLUzz//rHx9fZVSSoWGhioA6qefflIXLlxQ8+bNU4UKFVIATFZJGwwG5enpqcqXL6/+97//mTzP86vdlVLq2rVrSqfTqTlz5qibN28aV84rpVRMTIyyt7dXNjY2atGiRcl6Ha1bt1bly5dXOp3upRXdTZo0UaVKlVK7d+9WoaGhqn79+qpo0aIqPj5eKSUrvp9fkf7nn38qBwcHdfToUfXvv/+qR48eJet3EBwcrCwsLNSkSZPU2bNn1YwZM1SePHmUi4uL8dwbNmxQVlZWavjw4erkyZMqLCxMLVy4UH333XevfG2BgYGqceOP1KFDSk2bplT79kqVKpX0Kn1PT4Pq0EGpX36JU4CbcbV7ovv37ysnJyeVO3duVb9+/Vc+J1e7E5HZDAaltm1TKiDA9I3pgw+U2r1b09C42j19aZp8Vq5cWfXo0cN4PSEhQRUsWFCNGTMmyfYtW7ZUjRo1MrmtSpUqqlu3bkopSWbc3d3VhAkTjPfHxMQovV6vFi5cqJRSKiwsTAFQBw8eNLZZv3690ul0KjIyUiml1JIlS5SVlZVKSEgwtlm1apXS6XTGBCQ5smPyqZRS//zzj+rRo4fy9vZWNjY2qlChQurDDz80SVx+/PFHVaBAAWVnZ6fq1aun5s2b91LyqZRSAwYMUADU0KFDTW5/MflUSqmRI0cqd3d3pdPpVGBgoEn7tm3bKldXV/UomSU31q1bpwCoGjVqvHRfdHS0atu2rXJ2djbGf/bsWeP9Lyafjx49Uh999JFycXFRANTs2bOT/TuYOXOmKlSokLKzs1NNmzZVo0aNUu7u7ibxbNiwQVWtWlXZ2dkpJycnVblyZTVz5sxXvrZXl1pyUd9+u1cNGKCUv79S1tYvJ6M+PvdU//5K7dihVOKfeteuXRUAtXjx4lc+J5NPIkq2hASlVq5U6p13nr35WFkp1batUs91JmmJyWf60iz5fPz4sbK0tFTLly83ub1du3bqww8/TPIxnp6eL33ADR06VJUrV04pJb1yLyYsSilVo0YN1bt3b6WUUr/99ptJz5JSSj158kRZWlqqZcuWKaWk59PGxkb9+uuv6unTpyomJka1aNFC1alT57Wv6dGjR+ru3bvGIzHRzW7JZ2ZUq1Yt1atXL63DSLXOnTurd999N1XneFXy+aL795XauFGp/v2V8vN7ueaps7NSLVtKTdIXvjO8hMknEb3R06dKLVqkVNmyz95obG2V6tlTqcuXtY7OBJPP9KXZ9pq3bt1CQkIC3NzcTG53c3NDVFRUko+Jiop6bfvEn29qkz9/fpP7rays4Orqamzj4+ODTZs24dtvv4Ver4eLiwuuXbv20py9F40ZMwbOzs7G41VzBCnt3LlzB8uXL8eOHTtMthzLKiZOnIhjx47h/PnzmDp1KubOnYvAwMBUn3fNmjVwdHTEGtNaVibs7YG6dYHx44EjR4CbN4GFC4E2bWSx0t27wOLFQNu2QP78QIMGwKxZ0i7R6NGj4ejoaLJzBxGRiadPgT/+AMqUAT79FDhxQhYODRwIXL4MTJ0q9Topx+De7kmIiopCly5dEBgYiIMHD2Lnzp2wsbHBxx9/DPWafRQHDRqEu3fvGo+wsLAMjDpn8vPzQ/v27TFu3DiUKFFC63DMduDAAdSpUwdly5bFjBkzMGXKFHTu3DlV5xw/fjxOnz6N0NBQk+3e3iRvXvlcmD8fuHED2LsX+O47oHRp2Xp0wwaga1egQAGgdm3g11+BTz/tjtDQUJw9exYdOnRIVdxElM08fQrMmSPFiNu2BU6fBnLnBkaMAK5cAcaMAV7oLKKcQbPV7nnz5oWlpSVu3LhhcvuNGzdeuae3u7v7a9sn/kzc4/T5Nm+99Zaxzc3nu24gO9hER0cbHx8UFARnZ2eMHz/e2OaPP/6Ap6cnQkJCTPbFfp5er4derzdej42NfeXrp7Rx+fJlrUNIlTf1pqdE/vz5X+rdN5elpSw09fcHRo2S2s7LlwPLlgEHDwLbtslhbZ0b9evnRuvWQJMmafQCiChrS0iQYZQRI55tNZc3L9Cvn9TodHLSNj7SnGY9nzY2NqhYsSK2bt1qvM1gMGDr1q3w9/dP8jH+/v4m7QFg8+bNxvY+Pj5wd3c3aRMbG4uQkBBjG39/f8TExODw4cPGNtu2bYPBYDAWFn/w4IGxPE6ixHI0BoMhpS+ZKMsqUUJGyA4cAC5dkg6LsmWlR3T1aukxLVAA+OILafOaAQIiyq4MBuCvv2R4vW1bSTzz5JESSpcuAYMGMfEkoeWE00WLFim9Xq/mzJmjwsLCVNeuXZWLi4uKiopSSskK5oEDBxrb79mzR1lZWamJEyeq8PBwNWzYsCRLLbm4uKiVK1eq48ePqyZNmiRZasnPz0+FhISo4OBgVaxYMZNSS1u3blU6nU6NGDFCnT17Vh0+fFjVq1dPeXt7qwcPHiT79WXX1e5EiU6eVOrbb5Xy9DRdrFSqlFI//qjU7dv8eyfK9gwGpdatU6p8+WdvArlzKzV6tFKxsVpHlyJccJS+NE0+lVJq6tSpysvLS9nY2KjKlSur/fv3G++rWbPmSyV1Fi9erIoXL65sbGxU6dKl1dq1a03uNxgMasiQIcrNzU3p9XpVu3ZtdebMGZM2t2/fVq1atVKOjo7KyclJdejQwaRupFJKLVy4UPn5+SkHBweVL18+9eGHH6rw8HCzXhuTT8opEhKU2rxZqc8+k8Wrzy9kbd36qVq48KJ68IB/70TZTnCwUtWrP/tP7+Sk1PDhSsXEaB1ZqjD5TF86pThAll6uXbsGT09PREREwMPDw3j7o0ePcOnSJfj4+MDW1lbDCInS3t27Mt1rxgzg2LFnt5crZ0CfPhZo1Qrgnz1RFnf6NPDNN4l7+sr2eD17yvycvHm1jS0NvOrzm9IGV7sTUZpydgY+/xw4ehTYvx9o2/Yp9HoDjh+3QMeOgJcXMGwY8IqKakSUmd28KYuGypSRxNPCAujcWfZknzgxWySelP6YfBJRutDpgCpVgJkzn2L79nP44Ycn8PQE/v0XGDlSktCOHaUDhYgyuYcPZaVh0aLAtGmyov3DD4GTJ6UAsKen1hFSFsLkkzKly5cvQ6fTITQ0NMOfe8eOHdDpdIiJicnw536dwoULQ6fTpWtsOp0OK1asMLmu0+ng4uKSqvO6uBjQr18CLl6UwvVVq8pK+dmzgVKlgObNZZU8EWUySskKdl9f4NtvgXv3gIoVge3bgZUrgZIltY6QsiAmn2S2qKgo9OrVC0WKFIFer4enpycaN278Uhms1PD09MT169dRpkwZAJk3IcxoI0eOxPXr1+Hs7Jwhz3f9+nX89NNPaXY+KyugRQtgzx5g3z6gaVP5bFu+XHpJa9UCduxIs6cjotQ4eBCoXl1qqV29Kr2b8+fLN8X33tM6OsrCmHySWS5fvoyKFSti27ZtmDBhAk6cOIENGzbg/fffT9PtLS0tLeHu7g4rK832QciUcuXKBXd3d+h0uiTvT0hISNNatO7u7umW6L7zjiSdYWFA+/aSmG7fDrz/PlCzplzmckgiDURFyX/KypXlm6K9vcyVOX1a9t+1YOpAqcO/IDLLF198AZ1OhwMHDuCjjz5C8eLFUbp0afTr1w/79+83tvvxxx9RtmxZODg4wNPTE1988QXi4uIASOF/Ozs7rF+/3uTcy5cvR65cufDgwQOTYffLly8bt4nMnTs3dDod2rdvj3nz5iFPnjx4/PixyXmaNm2Ktm3bJhl/4nkXLVqEqlWrwtbWFmXKlMHOnTtfanv48GFUqlQJ9vb2qFq1Ks6cOWO878KFC2jSpAnc3Nzg6OiIt99+G1u2bDF5/LRp01CsWDHY2trCzc0NH3/8sfE+g8GAMWPGwMfHB3Z2dihfvjz+/vvv5PwTmJgzZw5cXFywatUqlCpVCnq9HlevXsXBgwdRp04d5M2bF87OzqhZsyaOHDli8thz586hRo0asLW1RalSpbB582aznz8tlCwpw+8XLsg6BhsbYNcu6QVNTEKJKAM8eQJMngwULw7MnSu3tWsHnD0LDBkiSShRGmDymUkoBdy/r82R3N6l6OhobNiwAT169ICDg8NL9z8/L9DCwgJTpkzBqVOnMHfuXGzbtg0DBgwAADg5OeGDDz7AggULTB7/559/omnTprB/4Q3O09MTS5cuBQCcOXMG169fx88//4wWLVogISEBqxJLfQC4efMm1q5di44dO772tfTv3x9fffUVjh49Cn9/fzRu3Bi3b982afPdd99h0qRJOHToEKysrEzOGRcXh4YNG2Lr1q04evQo6tevj8aNG+Pq1asAgEOHDqF3794YOXIkzpw5gw0bNqBGjRrGx48ZMwbz5s3DjBkzcOrUKfTt2xdt2rRJMgl+kwcPHmDcuHH49ddfcerUKeTPnx/37t1DYGAggoODsX//fhQrVgwNGzbEvXv3AEjy27x5c9jY2CAkJAQzZszAN998Y/ZzpyUvL+D//k+S0J49pXLL7t2ShNatCxw6pGl4RNnb1q3AW2/JFpj37gFvvy3lKubOBQoV0jo6ym60LjSanZlTZD4uznSHmIw84uKS93pCQkIUALVs2TKzfxdLlixRefLkMV5fvny5cnR0VPfv31dKKXX37l1la2ur1q9fr5RS6tKlSwqAOnr0qFJKqe3btysA6s6dOybn7d69u2rQoIHx+qRJk1SRIkWUwWBIMo7E844dO9Z425MnT5SHh4caN26cyXNt2bLF2Gbt2rUKwGs3BihdurSaOnWqUkqppUuXKicnJxWbxO4ejx49Uvb29mrv3r0mt3fq1Mlkp60XeXt7q8mTJ5vcNnv2bAVAhYaGvvJxSimVkJCgcuXKpVavXq2UUmrjxo3KyspKRUZGGtusX79eAVDLly9/6TmcnZ1fe/7XSemmCteuKdWzp1LW1s/+Vps3VyosLMWhENGLIiKUatny2X+yvHmV+vVX2TkiB2OR+fTFnk9KNmXGBLwtW7agdu3aKFSoEHLlyoW2bdvi9u3bePDgAQCgYcOGsLa2NvZaLl26FE5OTggICDArpi5dumDTpk2IjIwEIMPQ7du3f+WcyET+/v7Gy1ZWVqhUqRLCw8NN2pQrV854uUCBAgCkZxWQns+vv/4aJUuWhIuLCxwdHREeHm7s+axTpw68vb1RpEgRtG3bFn/++afxtZ8/fx4PHjxAnTp14OjoaDzmzZuHCxcumPX6AcDGxsYkVgC4ceMGunTpgmLFisHZ2RlOTk6Ii4szxhceHg5PT08ULFgwyd9JZlCoEDB1KnDmjIz86XTAsmVSXrBbN+DGDa0jJMrC4uOBCRNkFfvixTKPs2dPGWLv1InzOildcTVHJmFvD/w3JVKT506OYsWKQafT4fQbCjNevnwZH3zwAbp3744ffvgBrq6uCA4ORqdOnRAfHw97e3vY2Njg448/xoIFC/Dpp59iwYIF+OSTT8xeYOTn54fy5ctj3rx5qFu3Lk6dOoW1a9eadY5Xsba2Nl5OTGYTF/N8/fXX2Lx5MyZOnIiiRYvCzs4OH3/8MeLj4wHIwqAjR45gx44d2LRpE4YOHYrhw4fj4MGDxrmva9euRaEXhrP0er3ZcdrZ2b2UbAcGBuL27dv4+eef4e3tDb1eD39/f2N8WYmPj4z8DRgADB4MrFgBzJwJLFgADBoE9O0L2NlpHSVRFrJ9u0ywTvzCXbUqEBQkw+5EGYBfbTIJnQ5wcNDmeEMnoZGrqyvq1auHoKAg3L9//6X7E8sgHT58GAaDAZMmTcI777yD4sWL459//nmpfevWrbFhwwacOnUK27ZtQ+vWrV/53DY2NgBkNfeLOnfujDlz5mD27NkICAiAZzKKHT+/OOrp06c4fPgwSppRr27Pnj1o3749mjVrhrJly8Ld3R2XL182aWNlZYWAgACMHz8ex48fx+XLl7Ft2zaThUFFixY1OZITe3Lj6927Nxo2bIjSpUtDr9fj1q1bxvtLliyJiIgIXL9+3Xjb87+TzKh0aVkdv3u3TEeLiwO++w4oUUISUa6MJ3qDGzeAtm1lInV4OJAvn6z2272biSdlKCafZJagoCAkJCSgcuXKWLp0Kc6dO4fw8HBMmTLFOGxbtGhRPHnyBFOnTsXFixcxf/58zJgx46Vz1ahRA+7u7mjdujV8fHxQpUqVVz6vt7c3dDod1qxZg3///dfYewgAn332Ga5du4ZZs2a9caHR869j+fLlOH36NHr06IE7d+4k+7GA9AIvW7YMoaGhOHbsGD777DOTEkdr1qzBlClTEBoaiitXrmDevHkwGAwoUaIEcuXKha+//hp9+/bF3LlzceHCBRw5cgRTp07F3MQVpqlUrFgxzJ8/H+Hh4QgJCUHr1q1h91z3YEBAAIoXL47AwEAcO3YMu3fvxnfffZcmz53e3n1X1kH8+acsUoqIAFq3lpXxz+8lT0T/MRiAX36RIfY//pAeh+7dZU5L+/YcYqcMx784MkuRIkVw5MgRvP/++/jqq69QpkwZ1KlTB1u3bsX06dMBAOXLl8ePP/6IcePGoUyZMvjzzz8xZsyYl86l0+nQqlUrHDt27LW9ngBQqFAhjBgxAgMHDoSbmxt69uxpvM/Z2RkfffQRHB0d0bRp02S9jrFjx2Ls2LEoX748goODsWrVKuQ1Y0/iH3/8Eblz50bVqlXRuHFj1KtXDxUqVDDe7+LigmXLlqFWrVooWbIkZsyYgYULF6J06dIAgO+//x5DhgzBmDFjULJkSdSvXx9r166Fj49PsmN4nd9++w137txBhQoV0LZtW/Tu3Rv58+c33m9hYYHly5fj4cOHqFy5Mjp37owffvghTZ47I1hYAJ99JmUHR42SqSO7dwMVKshoYnS01hESZRLHjwPVqgGffw7ExAB+fvLtbdo0IHduraOjHEqnzFlFQma5du0aPD09ERERAQ8PD+Ptjx49wqVLl+Dj4wNbW1sNI8w+ateujdKlS2PKlCmvbXf58mX4+Pjg6NGjeCuLDTMVLlwYffr0QZ8+fTL0eefMmYM+ffqkeHepjPh7j4gA+veXXQABIE8eYNw4oEMHdupQDvX4sXwzGzsWePoUyJUL+P57+XbGzTve6FWf35Q2+LZMWdqdO3ewfPly7NixI013WMqsvvnmGzg6OuLu3bsZ8nyOjo74/PPPM+S5UsPTE1i0CNi2TVbD374NdO4sOwCGhWkdHVEG27NH5nCOGiWJZ9OmMsfzyy+ZeFKmwL9CytL8/Pxw584djBs3DiVKlNA6nHS1c+dOPHnyBICsps8IoaGhAGS706zg/feBo0eBKVNkQ5bEdRT9+8tKea6Kp2wtLk5KQAQFyQo8Nze5/NFHWkdGZILJJ2VpL64wf5PChQubVa80M/H29s7w5yxatGiGP2dqWVnJJi0ffwz06gWsWgWMHi1D8rNmSYJKlO1s3Srd/YnviR07AhMncl4nZUocdieibMnLC1i5UsozeXjItp21asm6i9hYraMjSiOxsfJHHRAgiae3N7B5M/Dbb0w8KdNi8qmhrNoDR2QOrf/OmzYFTp2Sz2dAKs6ULg2sW6dpWESpt3mzTHL+5Re5/sUXwIkTkogSZWJMPjWQuHNO4naLRNlZ4t/58ztGZTQnJ2D6dNnY5X//A65dAxo1khKHGbR2iyjt3L8vq9br1pVSDz4+8scdFCSr2okyOc751IClpSVcXFyM+4Tb29u/cS9yoqxGKYUHDx7g5s2bcHFxyRSLlt57T8oeDh0K/PijbNu5bRswZ44MyRNlevv2Ae3aAefPy/UePaSumIODtnERmYHJp0bc3d0BwJiAEmVXLi4uxr/3zMDeXtZhNGsGBAbKXNDatWVx0tixcj9RphMfD4wYIX+kBgNQqJBsjVmnjtaREZmNyadGdDodChQogPz58xvL5xBlN9bW1pmixzMp1aoBoaHAgAEyJD91KrBxo2zbWamS1tERPScsDGjTRuqIAbI/+5QpgIuLpmERpRSTT41ZWlpm2g9nouzO0VF2GWzSBOjUCTh7FvD3l41g+vcH+F+TNKUU8H//J9+QHj2Srbt++YV1OynL44IjIsrx6tWTuaAffywbwgwaJAuGr13TOjLKsa5fBxo0AHr3lsSzXj1Zyc7Ek7IBJp9ERABcXYHFi4Hff5e1Gzt2AOXKAcuWaR0Z5TirVwNly8o8EFtbmROyfj1QoIDWkRGlCSafRET/0emADh1kat3bbwN37khHU69e0vlElK4ePZKezg8/BG7flr1hjxwBevaUP06ibILJJxHRC4oVA/bskal2gEy7q1r1WXUbojQXFgZUqSK9nADQty+wfz9QsqS2cRGlAyafRERJsLaW8onr1gF580pvaIUKwKJFWkdG2YpSMtejUiWZeJwvH7B2rRSi1eu1jo4oXTD5JCJ6jQYNpCRTjRrAvXtAq1YyChofr3VklOXFxUmx2U6dgIcPZZXbsWNAw4ZaR0aUrph8EhG9QaFCwNatwODBcj0oSJLRiAht46Is7ORJmVg8fz5gYQGMHi0LjLioiHIAJp9ERMlgZSX1P9euBXLnBkJCZBh+yxatI6MsZ/ZsoHJl4PRpoGBB2Zd90CBJQolyAP6lExGZoWFD4PBhSTxv3QLq1gXGjJGpe0Sv9fChDLF37CiX69aVycQ1amgdGVGGYvJJRGQmHx9ZDd+5sySd334LtGwpU/iIknThgpRM+P136eH8/nup3Zk/v9aREWU4Jp9ERClgawvMmgXMnCkr4//+W3KLixe1jowynZUrgYoVZeVavnzApk0ygZjD7JRD8S+fiCgVunSR3ZDc3WX3w0qVgM2btY6KMoXEvVqbNgXu3gX8/aVofO3aWkdGpCkmn0REqVS1qswDrVJFdkWqXx/46SfOA83R/v1X/hDGjpXrvXvLtxQPD03DIsoMmHwSEaWBggWBnTtlLYnBIBvUdOvGeqA50oEDsiJt61bAwUF2Jvj5Z8DGRuvIiDIFJp9ERGlErwd+/VU2p9HpZE5ovXqyTTflAEoBv/wCVK8OXLsGFC8uNbk++UTryIgyFSafRERpSKeTXs/Vq4FcuWSktUoVIDxc68goXT16JBOAP/9curubNQMOHgRKl9Y6MqJMh8knEVE6aNQI2LsXKFxYquz4+wPbtmkdFaWLyEigZk3gt99kBfvYscDSpYCTk9aREWVKTD6JiNJJmTIy/a9aNVnsXK8eMHeu1lFRmtq9W8ooHTggW1+tXw988410gRNRkph8EhGlo3z5ZAvOTz+Vyjvt2wPDhnElfJanFDB9OlCrFnDjBlCuHHDokOxaRESvxeSTiCid2doCf/4pJR8BYORIoF074PFjbeOiFIqPl7mdX3wh3yg++UTmWBQponVkRFkCk08iogxgYQGMHi0r4C0tgT/+ABo0kOF4ykJu3gQCAmRrK51O5ncuXCgllYgoWZh8EhFloM6dgXXrAEdHYPt2oEYN4J9/tI6KkuXoUeDtt2Wep5OTlDTg/E4iszH5JCLKYHXrSkF6Nzfg+HHZIen0aa2jotdatkxWjl29+qx+Z6NGWkdFlCUx+SQi0kCFCjJNsFgx4MoVyWv27dM6KnqJUsCYMcBHHwEPH0rJgpAQwNdX68iIsiwmn0REGilSBNizB6hcGYiOBmrXliF5yiQePwY6dAC+/Vau9+oFrFkDuLhoGhZRVsfkk4hIQ/nySfH5hg2lY61JE1kZTxq7dQuoU0cKs1paAkFBwJQpgJWV1pERZXlMPomINObgAKxYAbRuLZV72rQB/u//tI4qBztzBnjnnWcLi9aulbJKRJQmmHwSEWUC1tbAvHkysgvIz+HDWYw+w+3cKXuhXrgge6Pu2yfzPIkozTD5JCLKJCwsgJ9/BkaMkOsjRgBffgkYDNrGlWPMny9D7XfuSM9nSAhQqpTWURFlO0w+iYgyEZ0OGDr02bD71KlSGzQhQdu4sjWlpJu5XTvgyROgRQuZiJs/v9aREWVLTD6JiDKhHj1krYuFBTB7tswHffJE66iyofh4IDDwWXfzwIHAokWAnZ22cVGWsmvXLjRu3BgFCxaETqfDihUrXts+ODgY1apVQ548eWBnZwdfX19Mnjz5pXaRkZFo06aNsV3ZsmVx6NAh4/03btxA+/btUbBgQdjb26N+/fo4d+6c8f7o6Gj06tULJUqUgJ2dHby8vNC7d2/c1XhrNS7bIyLKpNq1k8VIrVoBf/0FPHgALF4se8VTGrh7F2jeXHo5LS2B6dOBLl20joqyoPv376N8+fLo2LEjmjdv/sb2Dg4O6NmzJ8qVKwcHBwcEBwejW7ducHBwQNeuXQEAd+7cQbVq1fD+++9j/fr1yJcvH86dO4fcuXMDAJRSaNq0KaytrbFy5Uo4OTnhxx9/REBAAMLCwuDg4IB//vkH//zzDyZOnIhSpUrhypUr+Pzzz/HPP//g77//TtffyevolOJ09vRy7do1eHp6IiIiAh4eHlqHQ0RZ1Pr1kiM9eiS1QFeu5FbiqRYRIfWtTp6UvU6XLAHq19c6KsokUvP5rdPpsHz5cjRt2tSsxzVv3hwODg6YP38+AGDgwIHYs2cPdu/enWT7s2fPokSJEjh58iRKly4NADAYDHB3d8fo0aPRuXPnJB+3ZMkStGnTBvfv34eVRqXDOOxORJTJNWggCaijI7B1q+RM9+5pHVUWduyYLCg6eRJwdwd27WLiSUm6d+8eYmNjjcfjx4/T5XmOHj2KvXv3ombNmsbbVq1ahUqVKqFFixbInz8//Pz8MGvWLOP9ibHYPjcUYmFhAb1ej+Dg4Fc+1927d+Hk5KRZ4glkguQzKCgIhQsXhq2tLapUqYIDBw68tv2SJUvg6+sLW1tblC1bFute2A5EKYWhQ4eiQIECsLOzQ0BAgMn8B0DmQLRu3RpOTk5wcXFBp06dEBcX99J5Jk6ciOLFi0Ov16NQoUL44Ycf0uZFExGZ6b33gM2bpexkYq4UG6t1VFnQ1q1A9erAP//ISvb9+wE/P62jokyqVKlScHZ2Nh5jxoxJ0/N7eHhAr9ejUqVK6NGjh0lv5cWLFzF9+nQUK1YMGzduRPfu3dG7d2/MnTsXAODr6wsvLy8MGjQId+7cQXx8PMaNG4dr167h+vXrST7frVu38P333xuH9jWjNLRo0SJlY2Ojfv/9d3Xq1CnVpUsX5eLiom7cuJFk+z179ihLS0s1fvx4FRYWpgYPHqysra3ViRMnjG3Gjh2rnJ2d1YoVK9SxY8fUhx9+qHx8fNTDhw+NberXr6/Kly+v9u/fr3bv3q2KFi2qWrVqZfJcvXr1UiVKlFArV65UFy9eVIcOHVKbNm0y6/VFREQoACoiIsKsxxERvcqBA0q5uCgFKFW5slJ37mgdURby559KWVvLL69mTaWio7WOiDKpxM/vsLAwdffuXePx6NGjNz4WgFq+fHmynufixYvq+PHjaubMmcrV1VUtWLDAeJ+1tbXy9/c3ad+rVy/1zjvvGK8fOnRIlS9fXgFQlpaWql69eqpBgwaqfv36Lz3X3bt3VeXKlVX9+vVVfHx8suJLL5omn5UrV1Y9evQwXk9ISFAFCxZUY8aMSbJ9y5YtVaNGjUxuq1KliurWrZtSSimDwaDc3d3VhAkTjPfHxMQovV6vFi5cqJRSKiwsTAFQBw8eNLZZv3690ul0KjIy0tjGyspKnT59OlWvj8knEaWHI0eUcnWVHKpCBaVu39Y6oixg4kT5hQFKtWypVDKSCMq5UvP5bU7y+bzvv/9eFS9e3Hjdy8tLderUyaTNtGnTVMGCBV96bExMjLp586ZSSnKrL774wuT+2NhY5e/vr2rXrm3SGacVzYbd4+PjcfjwYQQEBBhvs7CwQEBAAPbt25fkY/bt22fSHgDq1atnbH/p0iVERUWZtHF2dkaVKlWMbfbt2wcXFxdUqlTJ2CYgIAAWFhYICQkBAKxevRpFihTBmjVr4OPjg8KFC6Nz586Ijo5+7Wt6/PixydyQe5yURUTpwM8P2L4dyJsXOHJEFiG94e0p5zIYgH79gK+/lutffgksXAjo9drGRfQCg8FgMqe0WrVqOHPmjEmbs2fPwtvb+6XHOjs7G1fDHzp0CE2aNDHeFxsbi7p168LGxgarVq0ymSOqFc1mm966dQsJCQlwc3Mzud3NzQ2nT59O8jFRUVFJto+KijLen3jb69rkf6FwsJWVFVxdXY1tLl68iCtXrmDJkiWYN28eEhIS0LdvX3z88cfYtm3bK1/TmDFjMCKxVhwRUToqVw7YsQOoVQsIDQUCAoAtWwBXV60jy0Ti44H27SXZBIAJE4CvvpJK/kRpKC4uDufPnzdev3TpEkJDQ+Hq6mqclxkZGYl58+YBkPUuXl5e8PX1BSB1QidOnIjevXsbz9G3b19UrVoVo0ePRsuWLXHgwAHMnDkTM2fONLZZsmQJ8uXLBy8vL5w4cQJffvklmjZtirp16wJ4lng+ePAAf/zxh7FzDADy5csHS0vLdP/dJIV1PpOQ+O1j3rx5KF68OADgt99+Q8WKFXHmzBmUKFEiyccNGjQI/fr1M16PjIxEKW7NRkTppHRpKVH5/vvA0aNA3bqyKOm/MoA5W1wc8NFHwKZNgJUVMGeOVOonSgeHDh3C+++/b7yemAsEBgZizpw5uH79Oq5evWq832AwYNCgQbh06RKsrKzwv//9D+PGjUO3bt2Mbd5++20sX74cgwYNwsiRI+Hj44OffvoJrZ/7O75+/Tr69euHGzduoECBAmjXrh2GDBlivP/IkSPGUd2iRYuaxHzp0iUULlw4TX8PyaVZ8pk3b15YWlrixo0bJrffuHED7u7uST7G3d39te0Tfyb+Izzf5q233jK2uXnzpsk5nj59iujoaOPjCxQoACsrK2PiCQAlS5YEAFy9evWVyader4f+uaGcWC5FJaJ0lpiA1qoFHD78LAF1cdE6Mg3dugU0agQcOADY2wNLl7KUEqWr9957D+o1ZdPnzJljcr1Xr17o1avXG8/7wQcf4IMPPnjl/b179zbpLTU3Lq1oNufTxsYGFStWxNatW423GQwGbN26Ff7+/kk+xt/f36Q9AGzevNnY3sfHB+7u7iZtYmNjERISYmzj7++PmJgYHD582Nhm27ZtMBgMqFKlCgCZZ/H06VNcuHDB2Obs2bMAkORcCyIiLZUpIxWE8uYFDh2SBFTj3fO0c/WqlFI6cEDmIGzbxsSTKLPRcrXTokWLlF6vV3PmzFFhYWGqa9euysXFRUVFRSmllGrbtq0aOHCgsf2ePXuUlZWVmjhxogoPD1fDhg1LstSSi4uLWrlypTp+/Lhq0qRJkqWW/Pz8VEhIiAoODlbFihUzKbWUkJCgKlSooGrUqKGOHDmiDh06pKpUqaLq1Klj1uvjanciykjHjimVJ48s6Pb3Vyo2VuuIMlh4uFIeHvIL8PBQKixM64goi+Lnd/rSNPlUSqmpU6cqLy8vZWNjoypXrqz2799vvK9mzZoqMDDQpP3ixYtV8eLFlY2NjSpdurRau3atyf0Gg0ENGTJEubm5Kb1er2rXrq3OnDlj0ub27duqVatWytHRUTk5OakOHTqoe/fumbSJjIxUzZs3V46OjsrNzU21b99e3Tazngn/eIkoo4WGKpU797NSlvfvax1RBjl8WKm8eeWF+/oqdeWK1hFRFsbP7/TFvd3TEfd2JyItHDwoq99jY2UIfuVKIBNUV0k/u3YBjRvLC65YUfYizZdP66goC+Pnd/rSfHtNIiJKW2+/DaxbBzg4yGLvFi2k6lC2tG4dUK+eJJ41a8ocTyaeRJkak08iomyoWjVgzRrp8VyzBvjsM+DpU62jSmOLFgFNmgCPHknP5/r1gJOT1lER0Rsw+SQiyqbeew9YsQKwsZFqQ507y4Y/2cKvvz7LqFu3lhdoZ6d1VESUDEw+iYiysXr1gL/+AiwtgblzgT59ZIPzLG3yZKBLF3khn38OzJsHWFtrHRURJROTTyKibK5pU9ngBwCmTgWe2wAla1EKGDFC9moHgAEDgGnTAAt+lBFlJfwfS0SUA7RpAwQFyeUffpBtzrMUpYD+/YHhw+X6qFHA2LHcp50oC2LySUSUQ3zxBTBmjFweMACYOVPbeJLNYAC6dwcmTZLrP/8MfPcdE0+iLIrJJxFRDjJwoByA5HN//61tPG/09CnQvj3wyy+SbP72G/CavayJKPNj8klElMOMHg107Sodiq1bA1u2aB3RK8THA59+CsyfLyumFiwAOnbUOioiSiUmn0REOYxOJ+t0Pv5Y8rumTYEDB7SO6gUPHwLNmkkJpcRaUZ9+qnVURJQGmHwSEeVAlpbAH3/INpz37wMNGwLh4VpH9Z/794EPPpDdi+zsgNWrpZg8EWULTD6JiHIovR5YvhyoXBm4fVv2gY+I0Dio2Figfn3ZJtPREdiwQQIjomyDyScRUQ7m6AisXQv4+gLXrkneFx2tUTAxMZJoBgcDzs7A5s1AjRoaBUNE6YXJJxFRDpc3L7BxI1CwIBAWBnz4oUy5zFDR0TIHICQEcHUFtm4F3nkng4MgoozA5JOIiODlJSPczs7Anj1Aq1ZS5ShD/Psv8P77wOHDkglv2wZUrJhBT05EGY3JJxERAQDKlgVWrZK5oCtXSlH6dN8H/uZNoFYt4PhxwM0N2LEDKF8+nZ+UiLTE5JOIiIxq1AAWLpTt0mfNAkaOTMcnu3FDejxPngQKFAB27gRKl07HJySizMAqWa2mTDH/zB06ALlymf84IiLSVLNmsg989+6ylbqXl7ylp6moKOnxDA+XyabbtwPFi6fxkxBRZpS85LNPH8DDQwrDJUdEhNRoY/JJRJQlff45cPWq7AXfpYvkh/XqpdHJr1+XxPP0afls2b4dKFo0jU5ORJld8pJPADh0CMifP3ltmXQSEWV5P/wgCeiff8puSLt2AX5+qTzp9esy1H7mDODpKYnn//6XJvESUdaQvDmfw4ZJMbjk+vZbKZVBRERZlk4H/P67dFLGxQGNGkkymmKJQ+1nzshY/s6dTDyJcqDkJ5/29sk/66BBgItLyiIiIqJMw8YGWLYMKFNGOi0bNJBa8GZLXFx0+rT0eO7YAfj4pHG0RJQVJH+1e6VKwIwZsvUZERHlGM7Oss16YhH6jz4C4uPNOMGNG6ZzPJl4EmVarq7mHXnyAFeumPccyZ/zWb48MGAA8NVXQPPmQKdOwHvvmfdsRESUJXl6yjac1atLDfhu3WRIXqd7wwMT63iGhQGFCkniWaRIRoRMRCkQEwP89JN86XwTpaQecEKCec+hU8qMEsIPHgCLFwNz5gC7d8s3144dgcBAeVMhE9euXYOnpyciIiLg4eGhdThERKm2bh3QuDFgMADffw8MHvyaxrdvy1D7iRPPEk+uaqcsICd/fltYyPRsc9aYHztm3ndK84rM29sD7dvLG8jZs8CnnwK//AIULiwz0ZctM+t0RESUtTRsCPzf/8nlIUOABQte0fDOHaBOHUk8CxSQ7lImnkSZnsGQ/MQTAO7dM38wI+U7HP3vf8CoUcDly7Idxv79QIsWKT4dERFlDd27ywwsQIrP7979QoO7d6Uo6NGj8im2dSsLyBORUfLnfCZlxw5g9mxg6VLAykoqERMRUbY3fjxw6ZIMeDVrJv0PRYtCukEaNAAOHpSVCFu3AiVLah0uESXTqlXJb/vhhyl7DvOTz2vXZM7nnDnAxYsy+3zaNOn1tLNLWRRERJSlWFgA8+fLhnYHD8qmdvu23Efu1h8A+/YBuXMDW7ZIjSYiyjKaNjW9rtPJwqLnrycyd6FRouQPuy9eDNSvL4uMpk8HWraUeZ87dwLt2jHxJCLKYeztgZUrZSX8mTNAi3Jn8GTXXsDJCdi0CXjrLa1DJCIzGQzPjsT/xuvXyyr4mBhZdFihArBhQ8qfI/k9n23ayKKi5ctlxrlFyqeLEhFR9lCgALB6aTyq+Sdg650K6Gn1C2asLwldpUpah0ZEqdSnj5R4f/fdZ7fVqydfPLt2BcLDU3be5Cef166Zt/yJiIiyvydPUP6HlliYkIAmWImZTzuixH6gX1WtAyOi1LpwIekNK52dZb15SiU/+Tx9Wo43qVEj5dEQEVHW8fQp0Lo1sHIlGuv1mNThPPrNKI6vv5bF7R98oHWARJQab78N9Osn87vd3OS2GzeA/v2BypVTft7kJ5/vvfdslumr6tLrdCmffUpERFlHQoLUWVqyBLC2BpYtQ58GxXFGSfnnVq1k3RHXGxFlXb//LtUsvLxkbjcgiwyLFQNWrEj5eZOffObOLWXs27cH2rYF8uZN+bMSEVHWZTAAn38O/PEHYGkpC1IbNoQOwNSpshZ1+3bZCenAASBfPq0DJqKUKFoUOH4c2Lz52eB3yZJAQEAyttZ9jeQnn9evy2Kj33+XAm8NG8r+7vXrpy4CIiLKOpSSVQi//ioLT//806Q2i7W1dIZWqSLzxZo3l4pLer1mERNRKuh0QN26cqSV5CefNjbAJ5/IcfWq1Pns2RN4/Fj2dh8xQgrNExFR9qQUMHCgdG/qdLLJyCefvNQsTx5g9WrgnXeA4GDZEem339hPQZQV3b8vVTWvXgXi403v6907ZefUKfWqCZzJcOmS9H7u3An8+y/g6priU2VH165dg6enJyIiIuDh4aF1OEREqTN8uHQ0ADKxs2vX1zbfsEEq9BkMwIQJwNdfp3+IRGmBn9/i6FEZ6H7wQJJQV1fg1i0ptZQ/v+w1lBLmF+t8/BhYsEAG/MuUkbmfa9cy8SQiys7Gj3+WeP788xsTT0BmZf34o1z+5pvUFaUmoozXt6/M3b5zR/YS2r8fuHIFqFgRmDgx5edNfvJ54ICMnbi7y1fYDz+UJU+JOx8REVH2FBQk2SMAjBlj1lhb795Ax47S+/npp7ITEhFlDaGhwFdfyfRuS0vpf/T0lO+i336b8vMmf5LmO+/IWvvevSXlBWQyz4tSuss8ERFlPrNny/x+ABg8WOZ8mkGnA6ZNk5Wye/cCTZoAISFSpJqIMjdr62cbWubPL/M+S5aU/78RESk/r3krhK5eBb7//tX3s84nEVH28ddfQOfOcrlvX2DkyBSdRq8Hli0DKlWSns/PPgNWrZKeFCLKvPz8gIMHpa5nzZrA0KEy53P+/NTV8E3+sPvzO82/6mDiSUSUPaxaBbRpI+/tXbsCkyalarm6m5sUpba1BdatA777Lu1CJaL0MXo0UKCAXP7hByn53r27rDGfOTPl5zV/wREREWVv27cDLVs+2z5z2rQ0qZNUsaKUigaAceOAhQtTfUoiSidKyVC7v79cz59fFg3GxgKHDwPly6f83MlLPletAp48Sf5Z160DHj5MYUhERKSZAwdk7v7jx1I8fs6cNB0fb9Xq2bTRTp1kQQMRZT5KyQ5HqZnb+SrJSz6bNQNiYpJ/1k8/lR2RiIgo6zh5EmjQAIiLA2rXlq7JdNg8ZNQoKZLy8KHkt7dupflTEFEqWVjIXM/bt9P+3Ml7V1FK9nRP7v5ojx6lPCIiIsp4Fy7I/nnR0bI3ZuIEzXRgaSnlot9+W572k0+AjRu5SR5RZjN2LNC/PzB9euoWGL0oef/VAwPNO2vr1oCTUwrCISKiDPfPP0CdOjJiVaaMTJ1ydEzXp8ydW/Lbd94Btm0DBgx4VpCeiDKHdu1kd6Py5WWXdTs70/ujo1N23uQln7Nnp+zsRESUud2+LYnnpUvA//4HbNqUYTvWlSkDzJ0LfPwxMHkyUKGCLLAnoszhp5/S57wc5CAiyqni4mTj5rAwoGBBYMuWZ3VVMshHH0nZpR9+ALp0AUqXltqCRKQ9cwe+k4ulloiIcqJHj2S1z4ED0tO5eTNQuLAmoYwYIeucHj0CmjdP+VAeEaVebKx57e/dM/85mHwSEeU0T59KzaOtW2Vu54YNQKlSmoVjaQn8+SdQpAhw+bKExj1LiLSROzdw82by2xcqBFy8aN5zcNidiCgnMRhkfHvFCqlgsmqVLDvXWO7cwPLlsgBp0ybZxu+HH7SOiijnUQr49dfkrzk0pwx8otQln48epVspDiIiSmNKSd2UxMLxf/0FvP++1lEZlSsnH3qtW8u2fpUqSZlpIso4Xl7ArFnJb+/uDlhbm/cc5iefBoN8HZ0xA7hxAzh7VsZKhgyR+UKdOpl9SiIiygBjxjyrZ/T770CTJtrGk4TPPgMOHpRVtoGBQMmSgK+v1lER5RyXL6f/c5g/53PUKPnWPH68FH1KVKaMfGUlIqLMZ8YMWVYOSF2jdu20jec1xo8HataUhQzNm8uifCLKPsxPPufNA2bOlHGR5/f7LV8eOH06DUMjIqI08ddfwBdfyOXBg4E+fTQN502srYFFi6TqU3g40LmzzBggouzB/OQzMlJ2mn+RwZCyWadERJR+Nm0C2raV7O2LL4CRI7WOKFnc3YElS2TLzb/+AqZM0ToiIkor5iefpUoBu3e/fPvff7MyMBFRZhISIit2njwBPv0UmDoV0Om0jirZqlUDJk6Uy19/DezZo208RJQ2zE8+hw4FevYExo2T3s5ly6Rsxw8/yH0pEBQUhMKFC8PW1hZVqlTBgQMHXtt+yZIl8PX1ha2tLcqWLYt169aZ3K+UwtChQ1GgQAHY2dkhICAA586dM2kTHR2N1q1bw8nJCS4uLujUqRPiXjGx6Pz588iVKxdcXFxS9PqIiDJceLjsXvTgAVC3ruxjaZH1Sjv37g188omUJm3RAoiK0joiIkot89+JmjQBVq+WbdgcHCThDA+X2+rUMft0f/31F/r164dhw4bhyJEjKF++POrVq4ebr6hwunfvXrRq1QqdOnXC0aNH0bRpUzRt2hQnT540thk/fjymTJmCGTNmICQkBA4ODqhXrx4ePXpkbNO6dWucOnUKmzdvxpo1a7Br1y507dr1ped78uQJWrVqherVq5v92oiINHH1qiSc0dFA5crA0qWmC0SzEJ1O1rKWKgVcvy4duE+fah0VUc6xezfQpg3g7y8zLwFg/nwgODgVJ1Uaq1y5surRo4fxekJCgipYsKAaM2ZMku1btmypGjVqZHJblSpVVLdu3ZRSShkMBuXu7q4mTJhgvD8mJkbp9Xq1cOFCpZRSYWFhCoA6ePCgsc369euVTqdTkZGRJuceMGCAatOmjZo9e7ZydnY267VFREQoACoiIsKsxxERpdi//yrl66sUID///VfriNLE6dNK5colL+ubb7SOhrI7fn6Lv/9Wys5Oqc6dldLrlbpwQW6fOlWpBg1Sfl5Nx2Di4+Nx+PBhBAQEGG+zsLBAQEAA9u3bl+Rj9u3bZ9IeAOrVq2dsf+nSJURFRZm0cXZ2RpUqVYxt9u3bBxcXF1SqVMnYJiAgABYWFggJCTHetm3bNixZsgRBQUHJej2PHz9GbGys8biXkg1PiYhSKi4OaNRIKo94eMhio7x5tY4qTZQoAfz2m1weN042ZiKi9DVqlFRpmzXLtJB8tWrAkSMpP6/5yWfu3ICr68tHnjyywWfNmsDs2ck61a1bt5CQkAA3NzeT293c3BD1iok9UVFRr22f+PNNbfLnz29yv5WVFVxdXY1tbt++jfbt22POnDlwcnJK1usZM2YMnJ2djUcpDfdKJqIcJj4e+Ogj4MABeU/etAnw9NQ6qjTVogXw5ZdyuV078/eTJiLznDkD1Kjx8u3OzkBMTMrPm7IFRxYW8u16xAg5GjWS23r0AIoXB7p3N29vpkyoS5cu+Oyzz1Ajqd/6KwwaNAh37941HmFhYekYIRHRfwwGoH17STjt7YF162RroGxo/HiZe3b3LvDxx7LLMxGlD3d34Pz5l28PDpbNLVPK/OQzOFj6YefPB3r1kmP+fLnt8GFJOidMSFZRtrx588LS0hI3btwwuf3GjRtwd3dP8jHu7u6vbZ/4801tXlzQ9PTpU0RHRxvbbNu2DRMnToSVlRWsrKzQqVMn3L17F1ZWVvj999+TjE2v18PJycl45MqV642/AyKiVFEK6NcPWLhQimIuXQpUqaJ1VOnGxgZYvFhmExw9KqvhibS2a9cuNG7cGAULFoROp8OKFSte2z44OBjVqlVDnjx5YGdnB19fX0yePPmldpGRkWjTpo2xXdmyZXHo0CHj/Tdu3ED79u1RsGBB2Nvbo379+i9V93n06BF69OiBPHnywNHRER999NFLOdKrdOkiow0hIbL4759/gD//lNJn3bsn6xRJMj/53LgReGHOJQCgdm25D5DyHskYD7GxsUHFihWxdetW420GgwFbt26Fv79/ko/x9/c3aQ8AmzdvNrb38fGBu7u7SZvY2FiEhIQY2/j7+yMmJgaHDx82ttm2bRsMBgOq/PemvW/fPoSGhhqPkSNHIleuXAgNDUWzZs3e+NqIiDLE2LHAzz/L5TlzgPr1NQ0nI3h4AAsWyIfhrFmy8R6Rlu7fv4/y5csne42Ig4MDevbsiV27diE8PByDBw/G4MGDMXPmTGObO3fuoFq1arC2tsb69esRFhaGSZMmIXfu3ACkrGTTpk1x8eJFrFy5EkePHoW3tzcCAgJw//5943n69u2L1atXY8mSJdi5cyf++ecfNG/ePFlxDhwIfPaZpHhxcTIE37kz0K2b9D2mmNlLlDw9lfrxx5dv//FHuU8ppY4dU8rNLVmnW7RokdLr9WrOnDkqLCxMde3aVbm4uKioqCillFJt27ZVAwcONLbfs2ePsrKyUhMnTlTh4eFq2LBhytraWp04ccLYZuzYscrFxUWtXLlSHT9+XDVp0kT5+Piohw8fGtvUr19f+fn5qZCQEBUcHKyKFSumWrVq9co4udqdiDKd336T5d+AUpMnax1NhhsxQl66vb1SJ09qHQ1lJ6n5/Aagli9fbvbjmjVrptq0aWO8/s0336h33333le3PnDmjAKiTz/3xJyQkqHz58qlZs2YppaTaj7W1tVqyZImxTXh4uAKg9u3bl+zYHj9W6tQppUJClLp3z5xXlTTzez6HDAH69wc+/FCG2keNktqfAwYAw4ZJm82bZeFRMnzyySeYOHEihg4dirfeeguhoaHYsGGDccHQ1atXcf36dWP7qlWrYsGCBZg5cybKly+Pv//+GytWrECZMmWMbQYMGIBevXqha9euePvttxEXF4cNGzbA1tbW2ObPP/+Er68vateujYYNG+Ldd981+cZBRJSprV4tY2IA8M03mX6/9vQweLCUM33wQBYjvWKfEKIUu3fvnkkVm8ePH6fL8xw9ehR79+5Fzedyp1WrVqFSpUpo0aIF8ufPDz8/P8x6bj1NYizP5zYWFhbQ6/UI/q8I5+HDh/HkyROTCkC+vr7w8vJ6ZVWhpNjYSK1dX18p8x4enuKXKlKUsgYHK/Xpp0r5+cnx6adK7dmT+lQ4m2HPJxGliz17lLK1lW6/9u2VMhi0jkgzN28qVaiQ/Cpat87RvwpKQ4mf3y8ew4YNe+NjYUbPZ6FChZSNjY2ysLBQI0eONLlPr9crvV6vBg0apI4cOaJ++eUXZWtrq+bMmaOUUio+Pl55eXmpFi1aqOjoaPX48WM1duxYBUDVrVtXKaXUn3/+qWxsbF563rffflsNGDDgjfG1aCE1PZVS6sEDpYoXV8raWikrK6kBmlJWKcpYq1WTg4iIMlZ4ONC4sSzzbtgQmDkzS+3Xntby5QMWLQLee08WQtSs+axDmCi1wsLCUKhQIeN1vV6fpuffvXs34uLisH//fgwcOBBFixZFq1atAMgamEqVKmH06NEAAD8/P5w8eRIzZsxAYGAgrK2tsWzZMnTq1Amurq6wtLREQEAAGjRoAKVUmsS3axfw3XdyeflyKawREyO79Y4aJdXdUiJ1ReYfPQJiY00PIiJKH9euAfXqybaZVarIsu/nKz/nUO++C/z3+YxevYDQUE3DoWwkV65cJlVs0jr59PHxQdmyZdGlSxf07dsXw4cPN95XoECBl+qFlyxZElevXjVer1ixIkJDQxETE4Pr169jw4YNuH37Nor8VwfJ3d0d8fHxiHmhKOfrqgo97+5dKRsMABs2SLJpby8VNl9YVG8W85PPBw+Anj2B/Pllb/fcuU0PIiJKe3fuyEr2iAjZ7mfNGnkPJgBS+uWDD4DHj2X+J/tCKKsxGAwmc0qrVauGM2fOmLQ5e/YsvL29X3qss7Mz8uXLh3PnzuHQoUNo0qQJAElOra2tTSoAnTlzBlevXn1lVaHneXoC+/YB9+9L8lm3rtx+5w7w3FRTs5k/7N6/P7B9OzB9OtC2LRAUJDvN//KLlPwgIqK09fChLOw8dQooWFDK2mWTbTPTioWFDAX6+UlR7K5dpfRpDp6RQBkoLi4O55+rxn7p0iWEhobC1dUVXl5eGDRoECIjIzHvv7pgQUFB8PLygq+vLwCpEzpx4kT0fq5wbd++fVG1alWMHj0aLVu2xIEDBzBz5kyTxdFLlixBvnz54OXlhRMnTuDLL79E06ZNUfe/LNHZ2RmdOnVCv3794OrqCicnJ/Tq1Qv+/v5455133vi6+vQBWrcGHB0Bb2+Z3iLxAmXLpuIXZvYsUU9PpbZvl8u5cil17pxcnjcvdbvMZ0NccEREqfb0qVLNmsmKGmdnpY4f1zqiTG3fPlkMASg1fbrW0VBWZe7n9/bt25NcoBQYGKiUUiowMFDVrFnT2H7KlCmqdOnSyt7eXjk5OSk/Pz81bdo0lZCQYHLe1atXqzJlyii9Xq98fX3VzJkzTe7/+eeflYeHh7K2tlZeXl5q8ODB6vHjxyZtHj58qL744guVO3duZW9vr5o1a6auX7+e7N/FoUNKLVtmWmJpzRpZe55SOqXMnJXq6AiEhQFeXlLpd9kyoHJl4NIlSYNZ68Lo2rVr8PT0REREBDw8PLQOh4iyGqWAL74AZsyQWiebNiW7jF1ONmmSDMPr9cD+/cBbb2kdEWU1/PxOX+YPuxcpIomml5cUfFq8WJLP1asBF5e0j5CIKKf64QdJPHW6Z0u56Y369QN27JBpsS1bys7P3O2YKGWuXQNWrQKuXgXi403v+/HHlJ3T/OSzQwfg2DF5Exw4UEp+/N//AU+epDwKIiIy9dtvsqkHINtnfvyxtvFkITqd7DTq5ycrcrt1k9yd8z+JzLN1q+wpVKQIcPo0UKYMcPmyDMpUqJDy85qffPbt++xyQIBEc/gwULQoUK5cyiMhIiKxZo1kTIB8yU/VJso5U548Uv+zRg1ZePT++6z/SWSuQYNkCsuIETJ6sHSpFDtq3VqKb6SU+aWW5s2TWhaJvL2B5s1lCP6/VVxERJRC+/fLWHFCAhAY+KyAJZmtatVnv77evYGTJ7WNhyirCQ8H2rWTy1ZWUnjD0REYORIYNy7l5zU/+ezQQaqOvujePbmPiIhS5swZKVb58KF0K8yaxbHiVPr6a6nL/+gR8MknUqqaiJLHweHZPM8CBYALF57dd+tWys9rfvKpVNJvhteuAc7OKY+EiCgnu35dEs7bt4FKlYAlS7h7URqwsJBBuQIFpFDLc2UUiegN3nkHCA6Wyw0bAl99JesgO3aU+1Iq+XM+/fwk6dTpgNq1pf81UUKCrIBPzQQAIqKcKjZW3tkvX5b582vXytgWpYn8+YE//pBlCr/9Jh9h/22fTUSv8eOPzypojhghl//6CyhWLHVrzJOffDZtKj9DQ2UM4/k3RhsboHDhlO8wT0SUU8XHy7z50FDJkjZskJ+UpmrVAgYPBr7/XnY/evttyfOJ6NX+2yIegAzBz5iRNudNfvI5bJj8LFxYJs6kZlNPIiICDAYZv9q6Vd7Z164F/vc/raPKtoYOlfqfu3fLx9jevVKInoheLz4euHlT3rKe5+WVsvOZP+czMJCJJxFRWhg4UApQWlkBf/8tcz0p3VhZAQsWSBmmI0ekjAwRvdrZs0D16oCdnRQ38vGRo3Bh+ZlSyev5zJ07+Ssuo6NTHg0RUU7x88/AhAly+ddfOWc+g3h4ALNnS+HsyZNlHmjDhlpHRZQ5deggX9rWrJFFe2lVfCN5yedPP6XNsxERkaxkT9ywY/RoGVGiDNO4sax6nzJFfvXHjgEFC2odFVHmExoq+wj5+qbteZOXfPKNkYgobezcCbRpI2XrevSQoXfKcOPHA7t2yYdr27bApk2ApaXWURFlLqVKpa6e56uYP+cTkNJKS5cCo0bJsXy53EZERK928iTQpInM3m/WTIbeWUReE3q9bL/p4ABs25a63VqIspPY2GfHuHHAgAGyUO/2bdP7YmNT/hw6pZQy6xHnz8sEmchIoEQJue3MGcDTkys1X3Dt2jV4enoiIiICHh4eWodDRFq6dg3w95ef1aoBmzfLLH7S1Jw5Mq/N0lJ6QqtW1Toiygxy8ue3hYXpd+Kk9hZKvC2l/Y7JL7WUqHdvSTD37wdcXeW227dlGKl3b0lAiYjomZgYoEEDSTx9fYFVq5h4ZhKBgfI9YMEC4LPPZBjexUXrqIi0s317+j+H+cnnzp2miScgdSvGjpVv80RE9MzjxzLEfvKkLBfdsMH0/ZM0pdMB06fLx9rFi8DnnwMLF3I2BOVcNWum/3OYn3zq9cC9ey/fHhcnOx0REZEwGKRrbccOIFcuYN06KZZHmYqTk/R8vvuubB1Yr54MxRMRcOeObEsbHi7XS5WS/x+p+Q5t/oKjDz6QvclCQmTQXyn5yvj551I4jYiIxIABks1YWQHLlgFvvaV1RPQKVaoAI0fK5V69pLg2UU63a5cUlJ8yRZLQO3fkso+P3JdS5iefU6bInE9/f9npyNZWhtuLFpWVm0REJPWRJ02Sy7NnSzVzytQGDADeew+4fx9o1UpmTBDlZD16yFa0ly7J9+dly2R6yqefyn0pZf5q90TnzgGnT8vlkiUl+SQTOXm1HFGOtmSJvGMrJfPhv/lG64gomSIjgXLlZLO+r74CJk7UOiLSAj+/hZ2dLMJLLG6U6MwZGch5+DBl5zW/5zM4WH4WKybbRDRuzMSTiCjRrl2mReQHDNA6IjJDoULA77/L5UmTpPg8UU5VocKzuZ7PCw8HypdP+XnNX3BUq5b872zVSt5gS5VK+bMTEWUnp06xiHw20KQJ0L27rIIPDASOHwfy5dM6KqKM17s38OWXUuL9nXfktv37gaAgGdQ5fvxZ23Llkn9e84fdb92SbSEWLgT27ZNna91aktEc3DWdFHbbE+UgkZEyFz4iQiqVb9nCWp5Z2IMHwNtvA2Fhss521Sp+j8hJ+PktLN4wPq7TpazgfMrnfAIyA3XBAklET58GatSQfcoIAP94iXKM2FigenXpBihRAtizR+ofU5Z2/LgkoPHx0tPzxRdaR0QZhZ/f4sqV5Lc1p4qc+cPuz/PxAQYOlIH/IUOkAD0RUU4SHw80by6ZipsbsH49E89solw5YPx4oE8fWXxUsyZQurTWURFlnPQqS2z+gqNEe/bI18ACBWRPsjJluLUmEeUsSgGdOgFbtwKOjlJE3sdH66goDfXuDdSvDzx6JB91jx5pHRFR1md+8jlokLy51qoFXL0qE+qjooD58+V/KBFRTvHtt8Aff0gR+b//lqWhlK3odMCcOUD+/NK5PXCg1hERZX3mJ5+7dgH9+8vk+jVrZKGRvX06hEZElIlNmybLPQFg1izZk5GyJTc32ScAkP6WjRu1jYcoqzM/+Uwcbs+bNx3CISLKAlasAHr2lMvffw+0b69lNJQBGjZ89k/evj3w77+ahkOUpaV8zicRUU60d6+M+CgFdO0KfPed1hFRBhk/XkpbR0UBXbrInwBRdhYYmLo93F+FyScRUXKdOSO7uj16JMUfg4JY/DEHsbMD/vwTsLEBVq4Efv1V64iI0tfdu0BAgGxqOXq0zLhMC0w+iYiSIyoKaNBANv2uXFk227BKXbU6ynreeks+hAEpwXT2rJbREKWvFSsk4ezeHfjrL6BwYXkb/Ptv4MmTlJ+XyScR0Zvcuwc0aiQba/zvf8Dq1YCDg9ZRkUb69gVq15ZdkD77TEq9EmVX+fIB/foBx44BISFA0aJA27ZAwYLyf+HcOfPPaX7ymV4TAIiIMqMnT4CWLYEjR+RdeMMGqbtDOZaFhZRfyp0bOHwYGDFC64iI0t/168DmzXJYWsoivBMnZB705Mnmncv85DO9JgAQEWU2SgHduknCaW8v5eWKFtU6KsoEPDyAmTPl8tixQHCwtvEQpYcnT4ClS2WKu7c3sGSJTDf55x9g7lxgyxZg8WJg5Ejzzmt+8pleEwCIiDKb4cOlwKOFhbzfVa6sdUSUiXz8sQwGGgwyDBkbq3VERGmrQAGp7ODtDRw4ABw6BHz+OeDk9KzN++8DLi7mnTdlcz7TYwIAEVFm8uuvz77OT58uX/2JXjBlivTBXL4sW3ESZSeTJ0svZ1CQLLZLiouLTIc3R+oWHKXlBAAiosxizRr5eg8AgwdLPU+iJDg5ye7SFhYyDLlkidYREaWd7duTHtS+fx/o2DHl5zU/+UyvCQBERJnBgQPAJ58ACQmylQ3fy+gN3n0XGDRILnfrxqUQlH3MnQs8fPjy7Q8fAvPmpfy85hepK1BAJri0aiVv0kn1w6ZkAgARkdbOn5eSSg8eAPXry4oSFpGnZBg2TNalHT4s31k2bpTeUKKsKDZW1lsqJZXmbG2f3ZeQAKxbl7qiH+Ynn5MnAy1amEbyopRMACAi0tLNm5Jw3roFVKggozrW1lpHRVmEtTXwxx/yp7NlC/B//8c5oJR1ubjI926dDihe/OX7dbrUlRgz/3tZek0AICLSSlycTCW6cAHw8QHWrgUcHbWOirIYX19g4kS5/M03QFiYtvEQpdT27cDWrdLz+fffwLZtz47gYODqVeC771J+fp1SSpn1CEtLWWj0Yn/rrVuAuzvw9GnKo8lmrl27Bk9PT0RERMDDw0PrcIgoKU+eAE2aAOvXA3nyAHv3Jv1VnygZlJK1txs2yKy0kBDZC56yFn5+iytXAC+vtJ99lPxh9/SeAEBElNGUkiJ269cDdnbS48nEk1JBpwN+/x0oWxYIDZVSsYl7wRNlBcePA2XKyJzlu3eliNGrlCuXsudIfvKZ3hMAiIgy2uDBspzT0lKqdFSponVElA0UKCBr1T76CBg3TnpC331X66iIkuett4CoKOlPfOstSe+SGiPX6aTvMSWSn3xu3y7PXquWlFpydX12n42NlF0qWDBlURARZbRp0551Sf3yC4vIU5pq3lxWvc+ZI3uwHDtmuisMUWZ16ZLsJZR4OT0kP/msWfNZJOkxAYCIKKMsWwb07CmXR44EOnXSNh7Kln7+GdixQ3Y/6tNHhuOJMjtv72eX3dxeX9wopZK32v34cantCTybAHD8eNIHEVFmtmsX8NlnMpLTrZsMvROlAycnKcSt0wGzZwMrVmgdEZF58ucHAgNlI8vENDAtJC/5fOstWc2eeNnPT36+ePj5pV1kRERp7eRJ4MMPgcePgaZNZcNijuJQOqpeHRgwQC536QLcuKFtPETmmDtX9txo0gQoVEh68A8dSv15kzfsnhETAIiI0lNEhBSRv3sXqFYNWLBAFhoRpbMRI6SgwvHjQOfOwKpV/M5DWUOzZnLcuyf1PhcuBN55ByhSBGjTBhg6NGXnNb/O56NH6TMBIBtinTCiTCI6WpYbh4cDpUoBu3ebLpokSmcnTgCVKgHx8cCsWZKEUubFz+9XCwsDWreWL1MpXe1u/g5H6TABICgoCIULF4atrS2qVKmCAwcOvLb9kiVL4OvrC1tbW5QtWxbr1q0zuV8phaFDh6JAgQKws7NDQEAAzp07Z9ImOjoarVu3hpOTE1xcXNCpUyfExcUZ79+xYweaNGmCAgUKwMHBAW+99Rb+/PPPNHm9RJSBHj6UofbwcBk32rCBiSdluLJlgR9+kMt9+shmWkRZxaNHUo2uaVPZQjY6GujfP+XnMz/5TOMJAH/99Rf69euHYcOG4ciRIyhfvjzq1auHmzdvJtl+7969aNWqFTp16oSjR4+iadOmaNq0KU6ePGlsM378eEyZMgUzZsxASEgIHBwcUK9ePTx69MjYpnXr1jh16hQ2b96MNWvWYNeuXejatavJ85QrVw5Lly7F8ePH0aFDB7Rr1w5r1qxJ8Wslogz29CnQqhWwZw/g7CyJp6en1lFRDtW3rxSOuX8faNcu5b1GRBll40bpb3RzA7p3l5+bNsnOR2PHpuLEKqViY5X6/Xel6tRRytJSqWLFlBoxwuzTVK5cWfXo0cN4PSEhQRUsWFCNGTMmyfYtW7ZUjRo1MrmtSpUqqlu3bkoppQwGg3J3d1cTJkww3h8TE6P0er1auHChUkqpsLAwBUAdPHjQ2Gb9+vVKp9OpyMjIV8basGFD1aFDh2S/toiICAVARUREJPsxRJRGDAalunSRfdn0eqV27tQ6IiJ1+bJSuXLJn+UrPuYoE+Dnt7CzU6pFC6VWrFAqPj7tzmt+z2eiXLmADh0kBT5+HHBwMHuHo/j4eBw+fBgBAQHG2ywsLBAQEIB9+/Yl+Zh9+/aZtAeAevXqGdtfunQJUVFRJm2cnZ1RpUoVY5t9+/bBxcUFlSpVMrYJCAiAhYUFQkJCXhnv3bt34fqa4brHjx8jNjbWeNy7d+81r56I0tWIETK5zsJCZsnXqKF1RETw9gamTJHLQ4dK8XmizOrGDRlub9IEsLZOu/OmPPlMgwkAt27dQkJCAtzc3Exud3NzQ1RUVJKPiYqKem37xJ9vapP/hX3orays4Orq+srnXbx4MQ4ePIgOHTq88vWMGTMGzs7OxqNUqVKvbEtE6WjGjGdfhoOCZLkmUSYRGCgfnU+eyO5Hjx9rHRFR0nLlenb50SMgNtb0SCnzk890mwCQeW3fvh0dOnTArFmzULp06Ve2GzRoEO7evWs8wsLCMjBKIgIALF8O9Oghl4cOBT7/XNt4iF6g08mOrvnzyyr4lJarIUpv9+/LZnD588sAd+7cpkdKmZ98Nmsmq0fnzZOd53/5JcXDWXnz5oWlpSVuvFB198aNG3B3d0/yMe7u7q9tn/jzTW1eXND09OlTREdHv/S8O3fuROPGjTF58mS0a9futa9Hr9fDycnJeOR6/isDEaW/nTtlgZHBIBW9hw/XOiKiJOXPD8ycKZcnTACCg7WNhygpAwYA27YB06cDej3w668yqFSwoKSBKWV+8pmGEwBsbGxQsWJFbN261XibwWDA1q1b4e/vn+Rj/P39TdoDwObNm43tfXx84O7ubtImNjYWISEhxjb+/v6IiYnB4cOHjW22bdsGg8GAKlWqGG/bsWMHGjVqhHHjxpmshCeiTOjYMdPdi6ZNYyVvytSaNJGlE0rJ6ncuE6DMZvVqeSv96CPAykp27Bo8GBg9GkhV9clULVd6+FCpu3dNDzMtWrRI6fV6NWfOHBUWFqa6du2qXFxcVFRUlFJKqbZt26qBAwca2+/Zs0dZWVmpiRMnqvDwcDVs2DBlbW2tTpw4YWwzduxY5eLiolauXKmOHz+umjRponx8fNTDhw+NberXr6/8/PxUSEiICg4OVsWKFVOtWrUy3r9t2zZlb2+vBg0apK5fv248bt++nezXxtVyRBnk4kWl3N1lCXH16ko9eKB1RETJcveuUt7e8qfbpYvW0VAifn4LBwelrlyRy4UKKRUSIpcvXpT7Usr85DMuTqkePZTKl08pC4uXjxSYOnWq8vLyUjY2Nqpy5cpq//79xvtq1qypAgMDTdovXrxYFS9eXNnY2KjSpUurtWvXmtxvMBjUkCFDlJubm9Lr9ap27drqzJkzJm1u376tWrVqpRwdHZWTk5Pq0KGDunfvnvH+wMBABeClo2bNmsl+XfzjJcoAN25IqTdAqbJllbpzR+uIiMyyY4dSOp38Cb/wcUYa4ee3KFtW/j6VUqp2baW++kou//yzJKMpZf72mj16ANu3A99/L8v0goKAyEiZ+zl2rOy5RAC4PRdRurt3D6hVSza68PYG9u6VyUhEWUy/fsDkyYC7O3DyJJAnj9YR5Wz8/BaTJwOWlkDv3sCWLUDjxjJN5MkT4McfgS+/TNl5zU8+vbxklul77wFOTsCRI0DRosD8+VJL74WtLnMy/vESpaPHj4FGjYCtW4G8eWUXo+LFtY6KKEUePgQqVpRdYD/5BFi0SOuIcjZ+fiftyhXg8GFJ+8qVS/l5zF9wFB0NFCkil52c5DoAvPsusGtXyiMhIkquhAQZedm6FXB0BNavZ+JJWZqdnfTrWFoCf/3F5JMyJ29voHnz1CWeQEqSzyJFgEuX5LKvr6x8B2RJlItL6qIhInoTpYBevYAlS6TixvLlwHO7lRFlVZUqyUpiAPjiC+Cff7SNh3KubduAUqWSLiR/9y5QujSwe3fKz29+8tmhw7P9wAYOlDmftrZA375m73BERGS2ESOk6JxOB/zxB/DCdrtEWdl338nw+507QOfO8l2LKKP99JOUSnZyevk+Z2egWzeZ85lS5s/5fFFaTQDIhjhnhCiNBQXJdhuAFJ/r3l3beIjSQViY7Fr9+LEUou/SReuIcp6c/vnt7Q1s2ACULJn0/adPA3XrAlevpuz8Kd/bPVFaTQAgInqdv/6S4XYAGDaMiSdlW6VKAT/8IJf79Xs2040oo9y48fp9hKysgH//Tfn5k598pvcEACKiV9m8WRYYKSXl3oYN0zoionTVp4/sJhMXJ7PdDAatI6LX2bVrFxo3boyCBQtCp9NhxYoVr20fHByMatWqIU+ePLCzs4Ovry8mT578UrvIyEi0adPG2K5s2bI4dOiQ8f64uDj07NkTHh4esLOzQ6lSpTBjxgyTc0RFRaFt27Zwd3eHg4MDKlSogKVLl742vkKFpOTXqxw/DhQo8NpTvFbyk8/0ngBARJSUAweAZs2ksNwnnwBTpnDbTMr2LC2B2bMBBwdg505g6lStI6LXuX//PsqXL4+goKBktXdwcEDPnj2xa9cuhIeHY/DgwRg8eDBmzpxpbHPnzh1Uq1YN1tbWWL9+PcLCwjBp0iTkzp3b2KZfv37YsGED/vjjD4SHh6NPnz7o2bMnVq1aZWzTrl07nDlzBqtWrcKJEyfQvHlztGzZEkePHn1lfA0bAkOGAI8evXzfw4fy/f+DD5L1UpOW7HL0Xl5KhYW9+v7wcKU8PVNe7j4b4g4JRKkUHq5Unjyy9UudOko9fqx1REQZavp0+fO3tZX/DpQxUvP5DUAtX77c7Mc1a9ZMtWnTxnj9m2++Ue++++5rH1O6dGk1cuRIk9sqVKigvvvuO+N1BwcHNW/ePJM2rq6uatasWa88b1SUUgULSlo3bpxSK1bIMXas3FawoLRJqeT3fKb3BAAioudFRMiM9tu3gbffBpYuBWxstI6KKEN16yb/DR49AgIDgadPtY4oZ7l37x5iY2ONx+PHj9PleY4ePYq9e/eiZs2axttWrVqFSpUqoUWLFsifPz/8/Pwwa9Ysk8dVrVoVq1atQmRkJJRS2L59O86ePYu6deuatPnrr78QHR0Ng8GARYsW4dGjR3jvvfdeGY+bm2wYV6YMMGiQDD41awZ8+63cFhwsbVIq+clnek8AICJKdOuWfOJGRAAlSsjOablyaR0VUYbT6YDffpPZbQcOAOPGaR1RzlKqVCk4OzsbjzFjxqTp+T08PKDX61GpUiX06NEDnTt3Nt538eJFTJ8+HcWKFcPGjRvRvXt39O7dG3PnzjW2mTp1KkqVKgUPDw/Y2Nigfv36CAoKQo0aNYxtFi9ejCdPniBPnjzQ6/Xo1q0bli9fjqJFi742Nm9veeu9dQsICQH275fL69YBPj6pe91WyW6ZOAGgfn2p6/m8NJkAQEQE2a+9QQOp5eHpCWzaJNtnEuVQHh4y57NdOylz+8EHQPnyWkeVM4SFhaFQoULG63q9Pk3Pv3v3bsTFxWH//v0YOHAgihYtilatWgEADAYDKlWqhNGjRwMA/Pz8cPLkScyYMQOBgYEAJPncv38/Vq1aBW9vb+zatQs9evRAwYIFEfBfDeQhQ4YgJiYGW7ZsQd68ebFixQq0bNkSu3fvRtmyZd8YY+7cMviUlpJf5/PGDSk8ZmkpdfZKlJDbT5+W2nsJCbLPe2r6YbOZnF4njMhsjx7JF93t2yXhDA5+9l5DlIMpJVUNV6yQyoYHD3IWSnpKzee3TqfD8uXL0bRpU7MeN2rUKMyfPx9nzpwBAHh7e6NOnTr49ddfjW2mT5+OUaNGITIyEg8fPoSzszOWL1+ORo0aGdt07twZ165dw4YNG3DhwgUULVoUJ0+eROnSpY1tAgICULRo0ZdWxmeU5A+7p/cEACLK2Z4+BT79VBLPXLmkwjETTyIAMvw+YwaQJ4/Mcvv+e60jorRmMBhM5pRWq1bNmIgmOnv2LLy9vQEAT548wZMnT2BhYZrKWVpawvBfba4HDx4AwGvbaCH5w+7AswkAd+4A58/LV7FixaRPlogopQwG2Utw5UpArwdWr5Y9BonIyM1NEtAWLYAxY4DGjYHKlbWOigCpt3n+/Hnj9UuXLiE0NBSurq7w8vLCoEGDEBkZiXnz5gEAgoKC4OXlBV9fXwBSJ3TixIno3bu38Rx9+/ZF1apVMXr0aLRs2RIHDhzAzJkzjeWYnJycULNmTfTv3x92dnbw9vbGzp07MW/ePPz4X+lLX19fFC1aFN26dcPEiRORJ08erFixAps3b8aaNWsy6tfzspQvlKc3YaklomQwGJTq2VPqyVhaKrVypdYREWVqrVrJfxdfX6UePNA6muzJ3M/v7du3KwAvHYGBgUoppQIDA1XNmjWN7adMmaJKly6t7O3tlZOTk/Lz81PTpk1TCQkJJuddvXq1KlOmjNLr9crX11fNnDnT5P7r16+r9u3bq4IFCypbW1tVokQJNWnSJGUwGIxtzp49q5o3b67y58+v7O3tVbly5V4qvZTRUr+3O70S53wSJcPgwbKXoE4HzJ8PtG6tdUREmVp0tGwqGBUFfPUVMHGi1hFlP/z8Tl+p39udiCilxo17ton1tGlMPImSwdUVSCz3+OOP3Nmash4mn0SkjWnTgIED5fL48cDnn2sbD1EW8sEHsue7UvLz/n2tIyJKPiafRJTx5s8HevSQy4MHA/37axsPURY0ebKUwr1wAfjmG62jIUo+Jp9ElLGWLgXat5fLvXsDI0dqGg5RVuXsLLsfAVJue+tWbeMhSi4mn0SUcdavB1q1ktJKHTtK141Op3VURFlWnTrPZqx07AjExmobD1FyMPkkooyxc6ds0fLkCfDJJ8DMmYAF34KIUmvCBNlr++pV4OuvtY6G6M34zk9E6e/AAVkh8eiR/Jw/X7bqJaJUc3QEZs+Wy7NmyeZgRJkZk08iSl+hoUC9ekBcHFCrFrBkCWBtrXVURNlKzZrAl1/K5c6dgZgYTcMhei0mn0SUfsLCZFJaTAxQtapsn2lrq3VURNnS6NGy43VkJNCnj9bREL0ak08iSh/nzgG1awO3bsk+7evWyfggEaULe3tgzhxZwzd3LrB6tdYRESWNyScRpb0rVyTxjIoCypYFNm6UujBElK6qVpUtNwGga1fZipMos2HySURpKzJS5nZGRAC+vsDmzUCePFpHRZRjjBwp//WiooBevbSOhuhlTD6JKO1ERUniefEiUKQIsGUL4OamdVREOYqdnQy7W1gACxYAy5ZpHRGRKSafRJQ2bt6UofazZwEvL9lupVAhraMiypEqV3625ebnnwP//qttPETPY/JJRKl3+zYQECCr2wsVArZvBwoX1joqohxt2DCgTBlJPHv21DoaomeYfBJR6ty5I+WUTpwAChSQxLNIEa2jIsrx9HpZ/W5pCSxeLAdRZsDkk4hSLiZGCsgfPQrkzy9D7cWKaR0VEf2nYkXg22/lco8eMjuGSGtMPokoZRITz4MHZTX71q1AyZJaR0VELxg8GChXTkrufvEFoJTWEVFOx+STiMx3964kngcOSOK5bZtMLiOiTMfGRobfrayApUuBv/7SOiLK6Zh8EpF57t4F6tY1TTzLldM6KiJ6DT8/6QEFZPg9KkrbeChnY/JJRMn3YuK5dSsTT6Is4ttvgbfekl2PPv+cw++kHSafRJQ8MTGyqv3AAcDVVRLP8uW1joqIksnaWorPW1sDK1dKAXoiLTD5JKI3i46WAvLPLy5i4kmU5ZQrBwwdKpd79QKuX9c2HsqZmHwS0evduiWJ55EjQL58Usfzrbe0joqIUuibb4AKFaREb7duHH6njMfkk4he7eZN2as9NFT2aN++HShbVuuoiCgVnh9+X70a+OMPrSOinIbJJxEl7fp14P33n+1ctGMHULq01lERURooUwYYPlwu9+4N/POPpuFQDsPkk4heFhEB1Kwpe7UXLCiJp6+v1lERURoaMACoVEnWEnbtyuF3yjhMPonI1KVLQI0awLlzgLc3sGsXULy41lERURqzspLhdxsbYO1auUyUEZh8EtEzZ88C1asDly8DRYtK4vm//2kdFRGlk1KlgJEj5XKfPkBkpKbhUA7B5JOIxMmT0uMZGSmfSLt2AV5eWkdFROnsq6+AypVlD4kuXTj8TumPyScRSf3OmjWBGzekfueOHbLIiIiyPSsr2ftdrwfWrwdmz9Y6IsrumHwS5XS7dkkdz+hooEoV2as9Xz6toyKiDFSyJPD993K5b19Zc0iUXph8EuVk69YB9eoB9+5JWaXNm2XrTCLKcfr1A955B4iN5fA7pS8mn0Q51ZIlQJMmwKNHwAcfSCKaK5fWURGRRiwtZfjd1hbYuBH47TetI6LsisknUU40axbw6afA06fyc9ky+cQhohytRAlg1Ci53K8fcPWqtvFQ9sTkkygnUQoYO1YqShsM8vOPP2SfPSIiSMmlqlVlNk7nzhx+p7TH5JMopzAYgK+/BgYNkuvffgvMmCFjbURE/7G0lBXvtrYyDXzWLK0jouyGySdRTvDkCdChA/Djj3J90iTghx8AnU7buIgoUypeHBg9Wi5/9RVw5Yq28VD2wuSTKLt78ABo3hyYN0+6NObOlclcRESv0bs3UK0aEBcHdOrE4XdKO0w+ibKzW7ekhueaNTKGtnw50K6d1lERURaQOPxuZwds3Qr88ovWEVF2weSTKLu6cgV4911g/34gd25gyxagcWOtoyKiLKRYMWDMGLncvz9w+bKm4VA2kSmSz6CgIBQuXBi2traoUqUKDhw48Nr2S5Ysga+vL2xtbVG2bFmsW7fO5H6lFIYOHYoCBQrAzs4OAQEBOHfunEmb6OhotG7dGk5OTnBxcUGnTp0QFxdn0ub48eOoXr06bG1t4enpifHjx6fNCyZKb8ePA/7+wJkzgKcnEBws42dERGbq1QuoXv3Z8LvBoHVElNVpnnz+9ddf6NevH4YNG4YjR46gfPnyqFevHm7evJlk+71796JVq1bo1KkTjh49iqZNm6Jp06Y4efKksc348eMxZcoUzJgxAyEhIXBwcEC9evXw6NEjY5vWrVvj1KlT2Lx5M9asWYNdu3aha9euxvtjY2NRt25deHt74/Dhw5gwYQKGDx+OmTNnpt8vgygtbNsmnxTXrwNlygB79wKlSmkdFRFlURYWwO+/y/D7tm0cfqc0oDRWuXJl1aNHD+P1hIQEVbBgQTVmzJgk27ds2VI1atTI5LYqVaqobt26KaWUMhgMyt3dXU2YMMF4f0xMjNLr9WrhwoVKKaXCwsIUAHXw4EFjm/Xr1yudTqciIyOVUkpNmzZN5c6dWz1+/NjY5ptvvlElSpRI9muLiIhQAFRERESyH0OUKvPnK2VtrRSgVPXqSkVHax0REWUTP/8sby0ODkpdvKh1NOmLn9/pS9Oez/j4eBw+fBgBAQHG2ywsLBAQEIB9+/Yl+Zh9+/aZtAeAevXqGdtfunQJUVFRJm2cnZ1RpUoVY5t9+/bBxcUFlSpVMrYJCAiAhYUFQkJCjG1q1KgBGxsbk+c5c+YM7ty5k8pXTpTGlJLSSW3bSlmlTz4BNm2SuZ5ERGmgZ0+gRg3g/n0Ov1PqaJp83rp1CwkJCXBzczO53c3NDVFRUUk+Jioq6rXtE3++qU3+/PlN7reysoKrq6tJm6TO8fxzvOjx48eIjY01Hvfu3Uv6hROlpSdPZKeiwYPl+oABwIIF3C6TiNKUhYWsfre3B7Zvlz0qiFJC8zmf2cmYMWPg7OxsPEpxnh2lt7t3ZQX7r7/KJ0NQEDBunFwmIkpjRYrIWwwgq98vXtQ2HsqaNP2Eyps3LywtLXHjxg2T22/cuAF3d/ckH+Pu7v7a9ok/39TmxQVNT58+RXR0tEmbpM7x/HO8aNCgQbh7967xCAsLS/qFE6WFS5dkBfvGjdIVsXw58MUXWkdFRNncF18A770n+1d07MjhdzKfpsmnjY0NKlasiK1btxpvMxgM2Lp1K/z9/ZN8jL+/v0l7ANi8ebOxvY+PD9zd3U3axMbGIiQkxNjG398fMTExOHz4sLHNtm3bYDAYUKVKFWObXbt24cmTJybPU6JECeR+xTw6vV4PJycn45ErVy5zfh1Eybd3L1ClCnDqFFCwILB7N/Dhh1pHRUQ5gIUF8NtvgIMDsHMnMG2a1hFRlqP1iqdFixYpvV6v5syZo8LCwlTXrl2Vi4uLioqKUkop1bZtWzVw4EBj+z179igrKys1ceJEFR4eroYNG6asra3ViRMnjG3Gjh2rXFxc1MqVK9Xx48dVkyZNlI+Pj3r48KGxTf369ZWfn58KCQlRwcHBqlixYqpVq1bG+2NiYpSbm5tq27atOnnypFq0aJGyt7dXv/zyS7JfG1fLUbr480+l9HpZdurnp9S1a1pHREQ50P/9n7wN2dsrdf681tGkLX5+py/Nk0+llJo6dary8vJSNjY2qnLlymr//v3G+2rWrKkCAwNN2i9evFgVL15c2djYqNKlS6u1a9ea3G8wGNSQIUOUm5ub0uv1qnbt2urMmTMmbW7fvq1atWqlHB0dlZOTk+rQoYO6d++eSZtjx46pd999V+n1elWoUCE1duxYs14X/3gpTSUkKDV4sLzbA0o1bapUXJzWURFRDpWQoNR778nbUY0acj274Od3+tIppZS2fa/Z17Vr1+Dp6YmIiAh4eHhoHQ5lZXFxsif78uVyvX9/YOxYLiwiIk1dugSULSvll6ZMkd2QsgN+fqcvfnIRZXaXLwNVq0riaWMDzJkDjB/PxJOINOfjI29HADBwIHDhgrbxUNbATy+izGz3buDtt4ETJwA3N5ndHxiodVREREaffw68/z5Xv1PyMfkkyoyUkpqdtWoBt24BFSoABw8C77yjdWRERCaeX/2+axfwf/+ndUSU2TH5JMpsHj4EOnSQveyePpWtMnfvBjw9tY6MiChJPj7AhAlyeeBA4Px5beOhzI3JJ1FmcuUKUL06MHeudCdMnAgsXChF5ImIMrFu3WSw5uFDDr/T6zH5JMostm4FKlUCDh8G8uQBNm0CvvoK0Om0joyI6I0Sh98dHWWwZupUrSOizIrJJ5HWDAZg5EigTp1n8zsPHwZq19Y6MiIisxQu/Gz4fdAg4Nw5TcOhTIrJJ5GW/v0XaNAAGDZMFhl17gwEBwPe3lpHRkSUIt26yXdnDr/TqzD5JNLK3r2An58Mr9vZyTzPWbPkMhFRFqXTPRt+Dw6W4vNEz2PySZTRDAbZnahGDSAyEihRAjhwQHYwIiLKBry9Zb0kAHz7LYffyRSTT6KMdP06ULeuTIZKSABatZL6nWXKaB0ZEVGa6toVCAh4Vj0uIUHriCizYPJJlFHWrwfKl5dV7fb2wO+/A3/+CeTKpXVkRERpTqcDfv1V3uL27OHwOz3D5JMovT18CPTpAzRsKAuMypeX1ewdOrCMEhFla97ewKRJcvnbb4EzZ7SNhzIHJp9E6enoUand+fPPcr1XL2D/fsDXV9u4iIgySOfOMtvo0SMOv5Ng8kmUHhISZFFRlSpAWBjg5gasXSvjTra2WkdHRJRhdDop5JErF7BvH/DTT1pHRFpj8kmU1i5cAN57TxYVPXkCNG0KnDghw+5ERDmQlxfw449yefBg4PRpbeMhbTH5JEorBoP0bJYtK8XtHB1lUdGyZUC+fFpHR0SkqU6dgHr1OPxOTD6J0sa5c9Lb+eWXssDo/feB48e5qIiI6D+Jw+9OTjL1PbEnNDvYtWsXGjdujIIFC0Kn02HFihWvbR8cHIxq1aohT548sLOzg6+vLyZPnvxSu8jISLRp08bYrmzZsjh06JDx/ri4OPTs2RMeHh6ws7NDqVKlMGPGjJfOs2/fPtSqVQsODg5wcnJCjRo18PDhw1S/7pRi8kmUGk+fyjto+fLA7t3S2zl9OrBlC+Djo3V0RESZiqcnkJhjDRkChIdrG09auX//PsqXL4+goKBktXdwcEDPnj2xa9cuhIeHY/DgwRg8eDBmzpxpbHPnzh1Uq1YN1tbWWL9+PcLCwjBp0iTkzp3b2KZfv37YsGED/vjjD4SHh6NPnz7o2bMnVq1aZWyzb98+1K9fH3Xr1sWBAwdw8OBB9OzZExYW2qWAOqWU0uzZs7lr167B09MTERER8PDw0DocSmuHD0sV5SNH5Hrt2lLUrnBhTcMiIsrMlAIaNZLSx5UrSw1QKyutozKVms9vnU6H5cuXo2nTpmY9rnnz5nBwcMD8+fMBAAMHDsSePXuwe/fuVz6mTJky+OSTTzBkyBDjbRUrVkSDBg0watQoAMA777yDOnXq4PvvvzcrnvTEnk8ic927J3U7K1eWxNPFRcaSNm9m4klE9AaJw+/OzrKzcOI2nJnRvXv3EBsbazweP36cLs9z9OhR7N27FzVr1jTetmrVKlSqVAktWrRA/vz54efnh1mzZpk8rmrVqli1ahUiIyOhlML27dtx9uxZ1K1bFwBw8+ZNhISEIH/+/KhatSrc3NxQs2ZNBAcHp8vrSC4mn0TJpRTw999A6dJSt9NgAD77TJZtdu7MuZ1ERMlUqNCz8sfDhgGnTmkbz6uUKlUKzs7OxmPMmDFpen4PDw/o9XpUqlQJPXr0QOfOnY33Xbx4EdOnT0exYsWwceNGdO/eHb1798bcuXONbaZOnYpSpUrBw8MDNjY2qF+/PoKCglCjRg3jOQBg+PDh6NKlCzZs2IAKFSqgdu3aOHfuXJq+FnNkso5uokzq1Cmgd29g2za5XqSIzO3879slERGZp107YMkSKYHcvr3UAM1sw+9hYWEoVKiQ8bper0/T8+/evRtxcXHYv38/Bg4ciKJFi6JVq1YAAIPBgEqVKmH06NEAAD8/P5w8eRIzZsxAYGAgAEk+9+/fj1WrVsHb2xu7du1Cjx49ULBgQQQEBMBgMAAAunXrhg4dOhjPs3XrVvz+++9pnkwnVyb7ZybKZO7eBYYPB6ZOlbogtrbAN98AAwbI/uxERJQiOh0wc6YMJh06BIwbB3z3ndZRmcqVKxecnJzS7fw+/y1MLVu2LG7cuIHhw4cbk88CBQqgVKlSJu1LliyJpUuXAgAePnyIb7/9FsuXL0ejRo0AAOXKlUNoaCgmTpyIgIAAFChQAACSPM/Vq1fT7XW9CYfdiZLy5AkQFAQULSrbcSQkSLH4sDBJRpl4EhGlWsGC8t0eAEaMkAp1OZXBYDCZU1qtWjWcOXPGpM3Zs2fh7e0NAHjy5AmePHny0qp1S0tLY49n4cKFUbBgwdeeRwvs+SR6nlLAqlXSs3n2rNxWooRMTqpXT9vYiIiyodatZTr9ypVAYKAsQrK21joq88TFxeH8+fPG65cuXUJoaChcXV3h5eWFQYMGITIyEvPmzQMABAUFwcvLC76+vgCkTujEiRPRu3dv4zn69u2LqlWrYvTo0WjZsiUOHDiAmTNnGssxOTk5oWbNmujfvz/s7Ozg7e2NnTt3Yt68efjxvyKqOp0O/fv3x7Bhw1C+fHm89dZbmDt3Lk6fPo2///47o349L1OUbiIiIhQAFRERoXUolBz79ilVo4ZSkoIqlS+fUtOmKRUfr3VkRETZ2vXrSrm6ylvv8OFaR2P+5/f27dsVgJeOwMBApZRSgYGBqmbNmsb2U6ZMUaVLl1b29vbKyclJ+fn5qWnTpqmEhAST865evVqVKVNG6fV65evrq2bOnGly//Xr11X79u1VwYIFla2trSpRooSaNGmSMhgMJu3GjBmjPDw8lL29vfL391e7d+82/5eShljnMx2xzmcWceKEbDacWJTX1hbo10/mdqbjXB8iInpm0SKgVStZdHTgAODnp10s/PxOX5zzSTnX+fMy3lO+vCSeFhay+fDZs8APPzDxJCLKQJ98Anz0kWwcFxgIxMdrHRGlFyaflPOcOSM1Pnx9gQULZJC9ZUtZTPTrr7L/GxERZSidDpg2DcibVwakRo7UOiJKL0w+Kec4eVLGdEqWBObPlxXsDRrINpl//SULi4iISDP580sJZQAYOxY4eFDbeCh9MPmk7E0pKQzfuDFQtqxMKlIKaNJE3tXWrQMqVNA6SiIi+s/HH8sQfEKCFJ9/9EjriCitMfmk7OnxY2DuXJmxXrs2sGaNjOl8/DEQGgqsWAFUqqR1lERElISgIMDN7VlpZcpemHxS9nLlimyR4e0tX5mPHZOC8D16yFzPJUtkgREREWVaefIAv/wilydMAPbv1zYeSlssMk9ZX0ICsHGjTBRatw74b2cHFCwI9OoFdO0KuLpqGyMREZmlSROgTRvgjz9k9XtoKGBnp3VUlBbY80lZV1gYMHCg9HI2aiRD6waDDLP//Tdw+bLcz8STiChLmjIFKFBAKuANHqx1NJRW2PNJWUtkJLB0KTBvnqxST5Q7twyzd+vGVetERNlE7tzArFnABx8AkycDTZsC1atrHRWlFpNPyvwuXZKEc+lS04k/VlbS49munfzU67WLkYiI0kWjRkCHDsDs2fLz2DHAwUHrqCg1mHxmRVeuAB4egKWl1pGkj8ePgT17gA0b5DhxwvT+atWkKHyrVkC+fNrESEREGWbyZGDLFuDCBdn5+P/+T+uIKDWYfGZF770HxMQA778PBATIUayYlBLKip48AY4eBXbtAnbuBLZvB+7ff3a/hQVQs6bsu9asmSwkIiKiHMPZGfjtN6BuXSnD1KyZTO+nrInJZ1bz77/AnTvA3bvA8uVyANIT+u67QJUqcvj5Aba22saaFKWAa9dkvuaRI8C+fcDevcCDB6bt3NyA+vWBevWAOnVkvzUiIsqx6tQBPv8cmDED6NhRBsWcnLSOilJCp5RSWgeRXV27dg2enp6IiIiAh4dH2p346VNJ3LZulXGI4GAgPt60jbW17OhTurTp4eWVMcP1SgE3bwKnTz87wsKkh/Pff19unzu3zCKvXl16csuVkx5PIiKi/8TFycfDpUtA586yGCk9pNvnNwFg8pmuMuyP9+FD6UHcv1+OkBBJ/JJiZQV4ekoS6u0tPaZ58kjy5+oqP+3tJXlNPKyspJbm06cyRP70qbwDREfLcecOcOuWrESPjJSezWvXTIfOn2dpKYlwxYqyy1CNGkCpUkw2iYjojXbulNlnALB+vQySpTUmn+mLw+7ZgZ0dUKuWHID0Ol65Ir2Mp049O86ckR7SS5fkSG86HeDjA/j6ylGiBPDWW9Ijy0rBRESUAjVrAl9+Cfz8s/R+njwJuLhoHRWZg8lndqTTAYULy9Gs2bPbExKAf/4Brl6V5PTKFempvHNHjsSezIcPpYcz8Xj6VHo/raye9YQ6ODzrKXV1laNQIelJff7IjPNOiYgoSxs9Wja0c3AAbt9m8pnVMPnMSSwtZcjd01PKFREREWVB9vbApk1S/MTGRutoyFxMPono/9u795gozrYN4NfCwsp5RWQX2mzBCgKKFKEQiklrJEVLDIrRSLYNWhvTCvEU2hqtpxhUaNoYKZW2Vk2joqVRqqQ0IaggDQIiYC12QYrHcmhLETxQkH2+P744nyvWF3yXGZfv+iWT7DzPM8O91x+7d4YZICKyOX5+SldAT4tPeBARERGRbNh8EhEREZFs2HwSERERkWzYfBIRERGRbNh8EhEREZFs2HwSERERkWzYfBIRERGRbNh8EhEREZFs2HwSERERkWzYfBIRERGRbNh8EhEREZFs2HwSERERkWzYfBIRERGRbNRKFzCamc1mAEBra6vClRAREdFQPfjefvA9TtbF5nMEtbe3AwCioqIUroSIiIiGq729HQaDQekyRh2VEEIoXcRodf/+fdTW1kKn08HOznp3OPT09CAkJAQNDQ1wc3Oz2nlpMGYtH2YtH2YtH2YtL2vlbTab0d7ejvDwcKjVvE5nbWw+bVB3dzc8PDxw69YtuLu7K13OqMas5cOs5cOs5cOs5cW8bQMfOCIiIiIi2bD5JCIiIiLZsPm0QRqNBps2bYJGo1G6lFGPWcuHWcuHWcuHWcuLedsG3vNJRERERLLhlU8iIiIikg2bTyIiIiKSDZtPIiIiIpINm08blJOTAz8/P4wZMwbR0dGoqqpSuiSbtn37drz88stwc3ODt7c35s6dC5PJZLGmt7cXqampGDduHFxdXTF//nzpP1jR09uxYwdUKhVWrVoljTFr67p58ybefPNNjBs3Dk5OTggNDcW5c+ekeSEENm7cCB8fHzg5OSEuLg5NTU0KVmybBgYGsGHDBvj7+8PJyQkvvvgitm7diocfq2DWT6esrAxz5syBr68vVCoVCgoKLOaHkmtnZyeMRiPc3d2h1WqxdOlS3L59W8Z3QQ9j82ljjhw5gjVr1mDTpk04f/48wsLCEB8fj46ODqVLs1mlpaVITU3F2bNnUVxcjP7+frz++uu4c+eOtGb16tU4ceIE8vPzUVpait9//x1JSUkKVm37qqur8cUXX2Dq1KkW48zaev7++2/ExsbCwcEBRUVFaGhowCeffIKxY8dKa7KysrBr1y7k5uaisrISLi4uiI+PR29vr4KV257MzEzs3r0bn332GS5duoTMzExkZWUhOztbWsOsn86dO3cQFhaGnJycx84PJVej0YhffvkFxcXFKCwsRFlZGZYtWybXW6BHCbIpUVFRIjU1VdofGBgQvr6+Yvv27QpWNbp0dHQIAKK0tFQIIURXV5dwcHAQ+fn50ppLly4JAKKiokKpMm1aT0+PCAgIEMXFxeLVV18VK1euFEIwa2v78MMPxfTp0/913mw2C71eLz7++GNprKurS2g0GpGXlydHiaNGQkKCePvtty3GkpKShNFoFEIwa2sBII4dOybtDyXXhoYGAUBUV1dLa4qKioRKpRI3b96UrXb6P7zyaUP6+vpQU1ODuLg4aczOzg5xcXGoqKhQsLLR5datWwAAT09PAEBNTQ36+/stcg8KCoLBYGDuTyk1NRUJCQkWmQLM2tqOHz+OyMhILFiwAN7e3ggPD8dXX30lzbe0tKCtrc0ibw8PD0RHRzPvYXrllVdQUlKCxsZGAEB9fT3Ky8sxe/ZsAMx6pAwl14qKCmi1WkRGRkpr4uLiYGdnh8rKStlrJkCtdAE0dH/++ScGBgag0+ksxnU6HX799VeFqhpdzGYzVq1ahdjYWEyZMgUA0NbWBkdHR2i1Wou1Op0ObW1tClRp2w4fPozz58+jurp60Byztq7ffvsNu3fvxpo1a7Bu3TpUV1djxYoVcHR0REpKipTp4z5TmPfwrF27Ft3d3QgKCoK9vT0GBgaQkZEBo9EIAMx6hAwl17a2Nnh7e1vMq9VqeHp6MnuFsPkkekhqaiouXryI8vJypUsZla5fv46VK1eiuLgYY8aMUbqcUc9sNiMyMhLbtm0DAISHh+PixYvIzc1FSkqKwtWNLt9++y0OHjyIQ4cOYfLkyairq8OqVavg6+vLrIkewV+72xAvLy/Y29sPevK3vb0der1eoapGj7S0NBQWFuLUqVN4/vnnpXG9Xo++vj50dXVZrGfuw1dTU4OOjg5MmzYNarUaarUapaWl2LVrF9RqNXQ6HbO2Ih8fH4SEhFiMBQcH49q1awAgZcrPlP/e+++/j7Vr12LRokUIDQ3FW2+9hdWrV2P79u0AmPVIGUquer1+0EO59+/fR2dnJ7NXCJtPG+Lo6IiIiAiUlJRIY2azGSUlJYiJiVGwMtsmhEBaWhqOHTuGkydPwt/f32I+IiICDg4OFrmbTCZcu3aNuQ/TzJkz8fPPP6Ourk7aIiMjYTQapdfM2npiY2MH/dmwxsZGvPDCCwAAf39/6PV6i7y7u7tRWVnJvIfp7t27sLOz/Eq1t7eH2WwGwKxHylByjYmJQVdXF2pqaqQ1J0+ehNlsRnR0tOw1E/i0u605fPiw0Gg0Yv/+/aKhoUEsW7ZMaLVa0dbWpnRpNuu9994THh4e4vTp06K1tVXa7t69K6159913hcFgECdPnhTnzp0TMTExIiYmRsGqR4+Hn3YXgllbU1VVlVCr1SIjI0M0NTWJgwcPCmdnZ3HgwAFpzY4dO4RWqxXff/+9uHDhgkhMTBT+/v7i3r17ClZue1JSUsRzzz0nCgsLRUtLizh69Kjw8vISH3zwgbSGWT+dnp4eUVtbK2prawUA8emnn4ra2lpx9epVIcTQcp01a5YIDw8XlZWVory8XAQEBIjk5GSl3tL/e2w+bVB2drYwGAzC0dFRREVFibNnzypdkk0D8Nht37590pp79+6J5cuXi7FjxwpnZ2cxb9480draqlzRo8ijzSeztq4TJ06IKVOmCI1GI4KCgsSXX35pMW82m8WGDRuETqcTGo1GzJw5U5hMJoWqtV3d3d1i5cqVwmAwiDFjxogJEyaI9evXi3/++Udaw6yfzqlTpx77GZ2SkiKEGFquf/31l0hOThaurq7C3d1dLFmyRPT09CjwbkgIIVRCPPTvF4iIiIiIRhDv+SQiIiIi2bD5JCIiIiLZsPkkIiIiItmw+SQiIiIi2bD5JCIiIiLZsPkkIiIiItmw+SQiIiIi2bD5JCIiIiLZsPkkInrGqFQqFBQUKF0GEdGIYPNJRM8MlUr1xG3z5s1Kl0hERP8ltdIFEBE90NraKr0+cuQINm7cCJPJJI25uroO63x9fX1wdHS0Wn22jFkQ0bOCVz6J6Jmh1+ulzcPDAyqVStrPzc3F9OnTLdbv3LkTfn5+0v7ixYsxd+5cZGRkwNfXF5MmTcKVK1egUqlw9OhRzJgxA87OzggLC0NFRcUTa1GpVNizZw/mzZsHZ2dnBAQE4Pjx49L8/v37odVqLY4pKCiASqWS9jdv3oyXXnoJe/fuhcFggKurK5YvX46BgQFkZWVBr9fD29sbGRkZg35+a2srZs+eDScnJ0yYMAHfffedxfz169excOFCaLVaeHp6IjExEVeuXHliFkREzwI2n0Q0qpSUlMBkMqG4uBiFhYXS+Pr165Geno66ujoEBgYiOTkZ9+/ff+K5tmzZgoULF+LChQt44403YDQa0dnZOax6mpubUVRUhB9//BF5eXn4+uuvkZCQgBs3bqC0tBSZmZn46KOPUFlZaXHchg0bMH/+fNTX18NoNGLRokW4dOkSAKC/vx/x8fFwc3PDmTNn8NNPP8HV1RWzZs1CX1/ff8yCiEhJbD6JaFRxcXHBnj17MHnyZEyePFkaT09PR0JCAgIDA7FlyxZcvXoVly9ffuK5Fi9ejOTkZEycOBHbtm3D7du3UVVVNax6zGYz9u7di5CQEMyZMwczZsyAyWTCzp07MWnSJCxZsgSTJk3CqVOnLI5bsGAB3nnnHQQGBmLr1q2IjIxEdnY2gP+9JcFsNmPPnj0IDQ1FcHAw9u3bh2vXruH06dP/MQsiIiXxnk8iGlVCQ0Mfe2/j1KlTpdc+Pj4AgI6ODgQFBf3ruR4+xsXFBe7u7ujo6BhWPX5+fnBzc5P2dTod7O3tYWdnZzH26HljYmIG7dfV1QEA6uvrcfnyZYvzAkBvby+am5ul/X/LgohISWw+icgm2NnZQQhhMdbf3z9onYuLy2OPd3BwkF4/uC/TbDY/8Wc+fMyD4x4cM9R6HneOJ513KG7fvo2IiAgcPHhw0Nz48eOl1/+WBRGRkvhrdyKyCePHj0dbW5tFw/fgSqBS9fT09ODOnTsjUs/Zs2cH7QcHBwMApk2bhqamJnh7e2PixIkWm4eHh9VqICIaCWw+icgmvPbaa/jjjz+QlZWF5uZm5OTkoKioSLF6oqOj4ezsjHXr1qG5uRmHDh3C/v37rXb+/Px87N27F42Njdi0aROqqqqQlpYGADAajfDy8kJiYiLOnDmDlpYWnD59GitWrMCNGzesVgMR0Uhg80lENiE4OBiff/45cnJyEBYWhqqqKqSnpytWj6enJw4cOIAffvgBoaGhyMvLs+ofwd+yZQsOHz6MqVOn4ptvvkFeXh5CQkIAAM7OzigrK4PBYEBSUhKCg4OxdOlS9Pb2wt3d3Wo1EBGNBJV49KYlIiIiIqIRwiufRERERCQbNp9EREREJBs2n0REREQkGzafRERERCQbNp9EREREJBs2n0REREQkGzafRERERCQbNp9EREREJBs2n0REREQkGzafRERERCQbNp9EREREJBs2n0REREQkm/8BUGHTucSMewgAAAAASUVORK5CYII=\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "fig = plot_cavitydata(\"tracking_test.hdf5\",\"MC\",plot_type=\"turn\",turn=50)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 465 }, "id": "fRGflKdSLuvk", "outputId": "ba6f212b-47a4-4725-efe7-6700ff44ef83" }, "execution_count": 34, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 2 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "fig = plot_cavitydata(\"tracking_test.hdf5\",\"MC\",plot_type=\"streak_amplitude\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 465 }, "outputId": "c7b9cbad-786c-4c4f-a14e-f1ab2a9886aa", "id": "srURo9xxMqqy" }, "execution_count": 35, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 2 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "fig = plot_cavitydata(\"tracking_test.hdf5\",\"MC\",plot_type=\"psi\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "outputId": "cc6adca8-3589-4fa3-a367-3f8e37402baf", "id": "vI20crgCMTkj" }, "execution_count": 36, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "# BeamLoadingEquilibrium" ], "metadata": { "id": "FCcSoOCRxtGo" } }, { "cell_type": "markdown", "source": [ "The `BeamLoadingEquilibrium` class is used to compute beam equilibrium profile for a given storage ring and a list of RF cavities of any harmonic.\n", "\n", "The class assumes an uniform filling of the storage ring and is based on [3,4]." ], "metadata": { "id": "994_v-dON3Kn" } }, { "cell_type": "code", "source": [ "from mbtrack2.utilities import BeamLoadingEquilibrium" ], "metadata": { "id": "aYfAxnr3Pe9V" }, "execution_count": 37, "outputs": [] }, { "cell_type": "markdown", "source": [ "For example, we can define a $4^{th}$ harmonic passive cavity and compute the resulting bunch profile from the addition of this new cavity with the active fundamental cavity which was defined earlier from tracking.\n", "\n", "To do that, we reuse the same `CavityResonator` class which was used for tracking:" ], "metadata": { "id": "U0vGsmpj0u_p" } }, { "cell_type": "code", "source": [ "m = 4\n", "Rs = 90e8\n", "Q = 1e8\n", "QL = 1e8\n", "detune = 60e3\n", "HC = CavityResonator(ring, m, Rs, Q, QL,detune)\n", "HC.Vg = 0\n", "HC.theta_g = 0" ], "metadata": { "id": "hBQxYlQvN2f5" }, "execution_count": 38, "outputs": [] }, { "cell_type": "markdown", "source": [ "Then it is possible to define a `BeamLoadingEquilibrium` object to solve using the `beam_equilibrium` method for different harmonic cavity detuning:" ], "metadata": { "id": "VfWbDnTp2Jwn" } }, { "cell_type": "code", "source": [ "values = np.array([100e3, 60e3, 45e3, 42e3, 41e3])\n", "leg = [\"Detune = \" + str(val*1e-3) + \" kHz\" for val in values]\n", "for det in values:\n", " HC.detune = det\n", " V = BeamLoadingEquilibrium(ring, [MC,HC], I0, auto_set_MC_theta=False)\n", " sol = V.beam_equilibrium(plot=False)\n", " fig = V.plot_rho()\n", "plt.legend(leg)" ], "metadata": { "id": "xAlbfHmoPk4G", "colab": { "base_uri": "https://localhost:8080/", "height": 493 }, "outputId": "bf7737f2-a0e1-478b-d27c-43a8ea331ac6" }, "execution_count": 40, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "<matplotlib.legend.Legend at 0x7b3a28309d20>" ] }, "metadata": {}, "execution_count": 40 }, { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The equilibrium bunch profile computed analytically using `BeamLoadingEquilibrium` can be compared to the tracking results:" ], "metadata": { "id": "cjL-np8paYEq" } }, { "cell_type": "code", "source": [ "HC.detune = 42e3\n", "\n", "# Tracking using a uniform beam filling pattern\n", "filling_pattern = np.ones(ring.h)*I0/ring.h\n", "mybeam = Beam(ring)\n", "mybeam.init_beam(filling_pattern, mp_per_bunch=1e4, track_alive=False)\n", "\n", "for i in range(2000):\n", " if i%100 == 0:\n", " print(i)\n", " long.track(mybeam)\n", " rad.track(mybeam)\n", " MC.track(mybeam)\n", " HC.track(mybeam)\n", "\n", "\n", "# Plot the equilibrium bunch profile\n", "V = BeamLoadingEquilibrium(ring, [MC,HC], I0, auto_set_MC_theta=False)\n", "sol = V.beam_equilibrium(plot=False)\n", "plt.plot(V.tau0, V.rho0/np.max(V.rho0))\n", "plt.xlabel(\"z [m]\")\n", "plt.title(\"Equilibrium bunch profile\")\n", "\n", "# Plot the bunch profile of bunch 0 from tracking\n", "bins, sorted_index, profile, center = mybeam[0].binning(\"tau\", 75)\n", "plt.plot(center, profile/max(profile))" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 837 }, "id": "xvg8zezzV4f_", "outputId": "c3850fb7-e40c-4490-fa92-279a6af9f760" }, "execution_count": 41, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "0\n", "100\n", "200\n", "300\n", "400\n", "500\n", "600\n", "700\n", "800\n", "900\n", "1000\n", "1100\n", "1200\n", "1300\n", "1400\n", "1500\n", "1600\n", "1700\n", "1800\n", "1900\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "[<matplotlib.lines.Line2D at 0x7b3a28272170>]" ] }, "metadata": {}, "execution_count": 41 }, { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [], "metadata": { "id": "J7qkgaaeAPwK" }, "execution_count": null, "outputs": [] } ] }