{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Finding orbit resonances and evaluating orbit-averaged quantities\n", "\n", "In this tutorial, we will examine how the orbit diagnostics can be used to locate resonances and to evaluate orbit-averaged quantities.\n", "\n", "We begin by initializing the standard test case.\n", "Note that the field has to be axisymmetric in order to gain meaningful results." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2025-04-01T09:03:48.622534Z", "iopub.status.busy": "2025-04-01T09:03:48.622348Z", "iopub.status.idle": "2025-04-01T09:03:50.390565Z", "shell.execute_reply": "2025-04-01T09:03:50.389898Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Inputs created" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "import numpy as np\n", "import unyt\n", "import matplotlib.pyplot as plt\n", "from a5py import Ascot\n", "\n", "a5 = Ascot(\"ascot.h5\", create=True)\n", "\n", "a5.data.create_input(\"bfield analytical iter circular\")\n", "a5.data.create_input(\"wall_2D\")\n", "a5.data.create_input(\"plasma_1D\")\n", "a5.data.create_input(\"E_TC\")\n", "a5.data.create_input(\"N0_1D\")\n", "a5.data.create_input(\"asigma_loc\")\n", "a5.data.create_input(\"Boozer\")\n", "a5.data.create_input(\"MHD_STAT\")\n", "\n", "print(\"Inputs created\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Finding orbit resonances\n", "\n", "A particle is in a resonance with a magnetic perturbation when the following condition is met:\n", "\n", "$$\n", "\\omega = n \\omega_\\mathrm{tor} - p \\omega_\\mathrm{pol},\n", "$$\n", "\n", "where $p\\in\\{\\dots,-1,0,1,\\dots\\}$, $\\omega$ is the mode frequency (zero for static perturbations), $n$ the poloidal mode number, and $\\omega_\\mathrm{tor}$ and $\\omega_\\mathrm{pol}$ are the (fast) particle toroidal and poloidal transit frequencies, respectively.\n", "\n", "Orbit resonances are found by first populating the phase-space with markers of given species and then tracing those for several poloidal (and toroidal) orbits without collisions.\n", "\n", "There are templates readily available that can be used to generate suitable marker population and simulation options.\n", "This example creates 10 (radial) $\\times$ 20 (pitch) alpha particles with $E$ = 3.5 MeV that cover the radial grid from 0.3 to 1.0 and pitch from -1 to 1.\n", "The markers are simulated until they have either completed 12 toroidal or 6 poloidal transits.\n", "\n", "> **_NOTE:_**\n", " One full revolution around the poloidal (or toroidal) angle is considered to be a single poloidal (toroidal) transit.\n", " Since trapped particles don't complete a full poloidal rotation, for those a single poloidal transit begins when the marker bounces for the first time, and ends with the third bounce (when it has returned to its original banana tip point, *not in the position where it was launched*)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2025-04-01T09:03:50.392654Z", "iopub.status.busy": "2025-04-01T09:03:50.392148Z", "iopub.status.idle": "2025-04-01T09:03:50.446227Z", "shell.execute_reply": "2025-04-01T09:03:50.445762Z" } }, "outputs": [], "source": [ "a5.input_init(bfield=True)\n", "mrk = a5.data.create_input(\"marker resonance\", species=\"alpha\", rhogrid=np.linspace(0.3, 1.0, 10),\n", " xigrid=np.linspace(-1, 1, 20), egrid=np.array([3.5e6])*unyt.eV, dryrun=True)\n", "opt = a5.data.create_input(\"options singleorbit\", ntor=12, npol=6, dryrun=True)\n", "a5.input_free()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can then run the simulation and post-process the results to find the orbit resonances.\n", "\n", "However, there is also a method that: initializes the markers and the options, runs the simulation, and post-processes the results.\n", "You only have to specify the grids and the marker species (and initialize other input data)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2025-04-01T09:03:50.448386Z", "iopub.status.busy": "2025-04-01T09:03:50.448194Z", "iopub.status.idle": "2025-04-01T09:03:51.777324Z", "shell.execute_reply": "2025-04-01T09:03:51.776818Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/share/miniconda/envs/ascot-dev/lib/python3.10/site-packages/numpy/_core/fromnumeric.py:3858: RuntimeWarning: Mean of empty slice.\n", " return mean(axis=axis, dtype=dtype, out=out, **kwargs)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/usr/share/miniconda/envs/ascot-dev/lib/python3.10/site-packages/unyt/array.py:1972: RuntimeWarning: invalid value encountered in divide\n", " out_arr = func(\n" ] }, { "data": { "image/png": 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i02KiQ0RERKbFRIeIiIhMyyeKeiYmJiIxMRFHjhwBAMTExOCVV15Bnz59Ct1n7dq1SEhIwK5du1CzZk2MGTMGw4YNc2l+S/6fj6JIBTzlAoe6bVJxSX9D0/KUloa2ho1OGNoO+FU3tOVZAo1zSEXvpJptUttVY5NU782x9JpYEy5fr9CnFG7VlNOGtrOtjMVKtQt9SsdCswinPIVUSdOdOVyPxZIvFKEUDoh2oU+hgKXjxEoqVirs5fHCnJrjScdCLCaqy/hjKxdTlX7HiH9qahaU1Y1ZnEMIWppDp2JnaRQrFefV/DtdtximOIdeN6n4Z2kU+pSIxT/FwrjS+0xjDs3Cn0p6P0mVhwVS8U9joU8/7V/xPnFGJyIiAv/85z+RkpKClJQU/OUvf8G9996LXbt2if3T09PRt29fdOrUCampqRg/fjxGjhyJpKSkUo6ciIiIfJlPnNHp16+f3fbkyZORmJiITZs2ISYmxtB/+vTpqF27NqZNmwYAaNKkCVJSUjB16lQMGDCgNEImIiKiMsAnzujcLD8/HwsXLsSlS5cQHx8v9vnpp5/Qq1cvu7bevXsjJSUFV68K11euycnJQXZ2tt2DiIiIzMtnEp0dO3agYsWKsFqtGDZsGJYsWYKmTZuKfU+ePInq1e3vSalevTry8vJw+rTx/o3rpkyZgrCwMNsjMjLSo2sgIiIi3+IziU50dDTS0tKwadMm/N///R8GDx6M3bt3F9rf4nBDobp2s5Vj+83GjRuH8+fP2x7Hjh3zTPBERETkk3ziHh0ACAwMRIMGDQAAbdq0wS+//IL33nsPH3/8saFvjRo1cPLkSbu2U6dOISAgAFWqVCl0DqvVCqvV6tnAiYiIyGf5zBkdR0op5OTkiM/Fx8dj1apVdm0rV65EmzZtUK5cudIIj4iIiMoAn0h0xo8fjx9//BFHjhzBjh07MGHCBCQnJ+PRRx8F8Oclp0GDBtn6Dxs2DEePHkVCQgL27NmDWbNmYebMmRg9erS3lkBEREQ+yCcuXf36668YOHAgsrKyEBYWhhYtWmDFihXo2bMnACArKwsZGRm2/lFRUVi+fDmef/55fPjhh6hZsybef/99frSciIiI7PhEojNz5swin58zZ46hrUuXLti6dWsJRURERERm4BOXroiIiIhKAhMdIiIiMi2fuHTlbRYlFzW0o5kS6maOFqnemVBc0lJgLL53YG8tQ1u1ur8b2n7zDzG05VmEj9cL3z0k1rnU5PgaiHXsxD31Cl+ebmss4CkdP+k7lSzCCy8fe80inGJROek4CgUn/fXmkAppSgU3IRWwFGo36hb61K05aixWKYzvrUKfwvqlAoduzaFJqNkrHjOxwGhpFM4U59D5jSYEovuL0MTFP0uj0KdEKv4pFvqUaB1u1wtzSnSLfzqOZ1EWoJhi3NfxjA4RERGZFhMdIiIiMi0mOkRERGRaTHSIiIjItJjoEBERkWkx0SEiIiLTYqJDREREpsVEh4iIiEyLiQ4RERGZFhMdIiIiMi0mOkRERGRaTHSIiIjItFjUE38WdSy2qKcuqR6fVAtSLAYpkYotGqsDnjpc2dAWEnHB0PZHgHGhV08FGdoChKJquuHhqkMXqY9UHFJsMzb6CUUp9WkW69TdV9xVsxqm+CbQLSbqTj+BVBRVaFPSHI7FSaUafdJY0vKlwrZCIVZxX90CmRLNYqLSm1R7DjfmlQugCm3S7zHpB0v7ddHoIxZ59GARycKGc2ddYiyuF9KUxzM2uVXo01+oCiutV4hZKvQp0Sr+qX3MPF3803E8/fM0PKNDREREpsVEh4iIiEyLiQ4RERGZFhMdIiIiMi0mOkRERGRaTHSIiIjItJjoEBERkWkx0SEiIiLTYqJDREREpuUTic6UKVNwxx13ICQkBNWqVUP//v2xb9++IvdJTk6GxWIxPPbu3VtKURMREZGv84lEZ+3atRg+fDg2bdqEVatWIS8vD7169cKlS5eK3Xffvn3IysqyPRo2bFgKERMREVFZ4BO1rlasWGG3PXv2bFSrVg1btmxB586di9y3WrVqqFSpUglGR0RERGWVTyQ6js6fPw8AqFzZWKjSUVxcHK5cuYKmTZti4sSJ6NatW6F9c3JykJOTY9vOzs4GoFnUUyxAaGySamHqloUTT6/p1qgTCn1ezAg1tJUL/8PYVst45iznRAXjHNLipLp6Dm1+V419JPr1/YRCn+LBEHYWqyNqFsiUuuW7MZ5uYU5hPKHOpfxWKZCqzEpFI4XikrrzOrSJBTyF4pUWqWimbhzCnm4VyJQINRSlIorac2gXoTS+gNoFRnUOkDyFTCdm8QdXePGk96KvF/90o5CmXKVY+DmQfg+IhWw1i39qFvB0tfinVuFPwFjsFyjkddd7r1gcullUPpCnF4pPXLq6mVIKCQkJ6NixI5o1a1Zov/DwcMyYMQNJSUlYvHgxoqOj0b17d6xbt67QfaZMmYKwsDDbIzIysiSWQERERD7CopQ7de09b/jw4Vi2bBnWr1+PiIgIp/bt168fLBYLli5dKj4vndGJjIxEiyfehH9gkK1dCemflHRL/aTUUapWL5yAgRLOrxVIbYHGtnyprYIx85bO6PgJfz1IZ3QCLhoX4n/FOK9frsO2cEbHT8jEpTaLcMZEavPLl84YCPtKbdIc0l8U0kkecV+98cSTRtK80njST634GmiuQ4pPnLf4dchr1VuX+BefFK/Yz501aP4adGcO7fE0/3IX6L8uHnwNdPcT59RcmDtz6I7n6WPmzrzCOuQzOm6sQ4pZY1/tMzrizp47jnkqF6tzvsD58+cRGmq8enEznzqj8+yzz2Lp0qVYs2aN00kOALRr1w4HDhwo9Hmr1YrQ0FC7BxEREZmXT9yjo5TCs88+iyVLliA5ORlRUVEujZOamorw8HAPR0dERERllU8kOsOHD8f8+fPxzTffICQkBCdPngQAhIWFITg4GAAwbtw4ZGZmYu7cuQCAadOmoW7duoiJiUFubi7mzZuHpKQkJCUleW0dRERE5Ft8ItFJTEwEAHTt2tWuffbs2Xj88ccBAFlZWcjIyLA9l5ubi9GjRyMzMxPBwcGIiYnBsmXL0Ldv39IKm4iIiHycTyQ6OvdDz5kzx257zJgxGDNmTAlFRERERGbgUzcjExEREXkSEx0iIiIyLSY6REREZFpMdIiIiMi0mOgQERGRafnEp668TsHua+bFr6bXrAQofX5Myia1C31qF/U0NlmEGhVXT5Q3znF7jqEtLOqcoe3c0TDjtI6V1gAEOL5WulUU9eoWSjUpUSAVOJTKMwj1D8RsX5pYPGh6B0hJ8Ylfcy69CEI3qbSD0FGsG6pd0FFoE8tg2Dcq6QBpLlUuiyF0E4vs6hW5lOtoSgVMdQs/CqFo1q+Ui5NKxXP1vupfu8Co/KY3NumUVNAtmsnin/qlIqS3gFBLSPlp/mMlFvd1rfinRXetAu3yETqhib/cXB+OiIiIqExiokNERESmxUSHiIiITIuJDhEREZkWEx0iIiIyLSY6REREZFpMdIiIiMi0mOgQERGRaTHRISIiItNiokNERESmxUSHiIiITMupWldLly51eoKePXsiODjY6f2IiIiI3OVUotO/f3+nBrdYLDhw4ADq1avn1H6lzVJgXzhQqhVmcaMypzuFPqVafhKpn7ivUOgzX1kNbefzjC9C/SYnDG2H9tc0zpFtP4e/VORRqp931dimW3tQt/gn8o2NBcIRksaT2/QKSYqFYt0o4Cl1VNK8UtDCerWLjgo/HNbj5+22c2oai7+KNSl1C5MKlW0tQvFKcV3CeHKRS7193Sr+6ek5pDZPFzHV+QHUKfwJlE7xT/FtIfzweav4p4uFNP+cV/g5kP6xEl6XEi/+qVms06K5fr3inyVY1PPkyZMoKCjQepQvb6yUTURERFRanEp0Bg8e7NRlqMceewyhoaFOB0VERETkCU4lOrNnz8ahQ4e0+ycmJqJq1apOB0VERETkCU5fumrVqhVat26NxMREnD9/vvgdiIiIiLzE6URnw4YNaNWqFcaOHYvw8HA89thjWLNmTUnERkREROQWpxOd+Ph4fPLJJzh58iQSExNx/Phx9OjRA/Xr18fkyZNx/PjxkoiTiIiIyGkuf2FgcHAwBg8ejOTkZOzfvx8PP/wwPv74Y0RFRaFv375OjTVlyhTccccdCAkJQbVq1dC/f3/s27ev2P3Wrl2L1q1bIygoCPXq1cP06dNdXQ4RERGZkEe+Gbl+/foYO3YsJkyYgNDQUPzwww9O7b927VoMHz4cmzZtwqpVq5CXl4devXrh0qVLhe6Tnp6Ovn37olOnTkhNTcX48eMxcuRIJCUlubscIiIiMgmnvjBQsnbtWsyaNQtJSUnw9/fHgw8+iCeffNKpMVasWGG3PXv2bFSrVg1btmxB586dxX2mT5+O2rVrY9q0aQCAJk2aICUlBVOnTsWAAQNcWgsRERGZi0uJzrFjxzBnzhzMmTMH6enpaN++PT744AM8+OCDqFChgttBXf80V+XKlQvt89NPP6FXr152bb1798bMmTNx9epVlCtXzrBPTk4OcnJybNvZ2dlux0pERES+y+lEp2fPnlizZg1uv/12DBo0CE888QSio6M9FpBSCgkJCejYsSOaNWtWaL+TJ0+ievXqdm3Vq1dHXl4eTp8+jfDwcMM+U6ZMwWuvveaxWImIiMi3OZ3oBAcHIykpCX/961/h7y/UH3HTiBEjsH37dqxfv77Yvo51fNS1eiNyfR9g3LhxSEhIsG1nZ2cjMjLSjWiJiIjIlzmd6LhSwVzXs88+i6VLl2LdunWIiIgosm+NGjVw8uRJu7ZTp04hICAAVapUEfexWq2wWo0FLKFgVw9Qty5caRT6FPvl6U2rf6e5UOizwPg6Hcqvbmh7utNqQ9v0n7rabatzxreZVETSX3rhpTap+KdebUTtwpx++ZoFA8U2zWKdUqXLfGOTWHBTLByqV+hSCkYsuinsKTVeqV2p+B116y9q7ivvLHQTfjDkOXSLXJZCYU5pDmk84576PLkO3cq7ni7+Kf3CkPoVCAHq/pLXnkMYT3cd4ntAiFmzcKZ0PCyaRVG1in9Kx1E66aFb6FRYl0VjPItQoLowbn3q6scff8Rjjz2G+Ph4ZGZmAgA+++wzrbMxN1NKYcSIEVi8eDFWr16NqKioYveJj4/HqlWr7NpWrlyJNm3aiPfnEBER0a3H5UQnKSkJvXv3RnBwMFJTU203+V64cAFvvvmmU2MNHz4c8+bNw/z58xESEoKTJ0/i5MmTuHz5sq3PuHHjMGjQINv2sGHDcPToUSQkJGDPnj2YNWsWZs6cidGjR7u6JCIiIjIZlxOdN954A9OnT8cnn3xidwalffv22Lp1q1NjXa+b1bVrV4SHh9seixYtsvXJyspCRkaGbTsqKgrLly9HcnIyYmNj8Y9//APvv/8+P1pORERENi5/j86+ffvE77gJDQ3FuXPnnBpLaVzLmzNnjqGtS5cuTidVREREdOtw+YxOeHg4Dh48aGhfv3496tWr51ZQRERERJ7gcqLz9NNPY9SoUfj5559hsVhw4sQJfP755xg9ejSeeeYZT8ZIRERE5BKXL12NGTMG58+fR7du3XDlyhV07twZVqsVo0ePxogRIzwZIxEREZFL3Kp1NXnyZEyYMAG7d+9GQUEBmjZtiooVK3oqNiIiIiK3OHXpavv27Shw+HKf8uXLo02bNrjzzjsNSc6uXbuQlyd8ux0RERFRKXAq0YmLi8OZM2e0+8fHx9t9JJyIiIioNDl16UophZdffhnly5fX6p+bm+tSUERERESe4FSi07lzZ+zbt0+7f3x8PIKDg50OioiIiMgTnEp0kpOTSygM77IoZVeoTipu506hz6qplwxtv8VVMI4nxSa0ScRCn3r1AuViiEKRwzxlrCHmWMATAHq23G23/b/dTYxT/i7UIxMqc4p12zQLfcoFPLWmRYFUSFMouCkW13SjmKhcrNO4r/giaBcdFdqkN4sUtFDs1LHoqEUaS3g/iaSfKc06iD5V/FO3xqFu8U/hRXBrPHcKjBqKPOq+JroFMjXfi+LrJP1c6L6B9Apfyj9Tum8gzWKnumsTXz/NWITjIf3eN8Qnvrc1ioFKYwGuFwRVwn6FcKuoJxEREZEvY6JDREREpsVEh4iIiEyLiQ4RERGZFhMdIiIiMi23SkDcbO/evfj2229RqVIlxMTEoFmzZggNDfXU8ERERERO89gZnT59+iA3Nxfnzp3Dxx9/jK5duyI6OtpTwxMRERE5zWNndGrUqIEJEybYteXnC188QkRERFRKPHZGp3fv3vjss8/s2vylLwIiIiIiKiUeO6OzefNmzJo1C6+99hruvPNONG/eHM2bN8df//pXT01BRERE5BSPJTrLly8HAGRnZ2Pnzp3YuXMn/ve//zHRISIiIq9xO9F57733MGrUKOzbtw8NGzZEaGgo2rdvj/bt23siPiIiIiKXuZ3oNGvWDADw/PPP48CBAwgJCbF9vLxZs2a4++673Q6ytEkF6bQLfQq1yM60MBbwlAs1CuMJbdqFPoU2aVrdG7UCpIKGBca30P+2NLPbrlbnd0OfM4EVDW1Xf7Ma5/QTohOapOKffpqFPsX6mJrFP5VQ0NBPKHypX3BTt1inXpFHS75m4VCpwKhmcUXH97JYv1OqMygtVfdN6/PFP6U59I6Fzxf/dHlOaV+918StApm6xTAlni4IKhW/dKfYqaeLf+oURRXGsuiu36MFQXX/JfRAotO9e3cA8qWrlStXlslEh4iIiMzBY/fozJ49G0OGDOGlKyIiIvIZHvt4+eLFi7FmzRrb9uXLl/Hoo496angiIiIip3ks0Zk3bx4mTJiAvXv34sCBA+jUqRO6du3qqeGJiIiInOZ2opOQkIC5c+fi6NGjmDVrFh555BE8+OCD+OSTTzB06FDtcdatW4d+/fqhZs2asFgs+Prrr4vsn5ycDIvFYnjs3bvXzRURERGRWbh9j06XLl2wfft2fPvtt9i7dy9OnDiBdu3aYeXKlThx4oT2zciXLl1Cy5YtMWTIEAwYMEB7/n379tkVD7399tudXgMRERGZk9OJzsCBA/Hxxx+jfPnyAIB7770X9957r+35y5cvY+fOndi+fTv+97//aSc6ffr0QZ8+fZwNB9WqVUOlSpWc3o+IiIjMz+lLV/Pnz8fFixdt208//TTOnj1r2w4ODkZsbCyefPJJvPvuu56JsghxcXEIDw9H9+7d7W6GluTk5CA7O9vuQURERObldKKjHL4saMGCBXaJzq+//oqQkBD3IytGeHg4ZsyYgaSkJCxevBjR0dHo3r071q1bV+g+U6ZMQVhYmO0RGRlZ4nESERGR97h9j45j4gMAubm57g5brOjoaERHR9u24+PjcezYMUydOhWdO3cW9xk3bhwSEhJs29nZ2Ux2iIiITMxjHy+/mfR18qWhXbt2OHDgQKHPW61WhIaG2j2IiIjIvFxKdObPn4+tW7fi6tU/iwl5K7FxlJqaivDwcG+HQURERD7C6UtXHTt2xKRJk3DhwgWUK1cOeXl5GD9+PDp27IhWrVq5/PHuixcv4uDBg7bt9PR0pKWloXLlyqhduzbGjRuHzMxMzJ07FwAwbdo01K1bFzExMcjNzcW8efOQlJSEpKQk5ydXsC/C507eplsrTndfqYig7ngCtwp9isULpSKP9nufOlzZ0Cew+mVDW8Woc4a288fDDG0FF43RBQgVN8VCn9LC8oxNUnFJcbx8Y1uBRuFLALAIxT/Fmnpim1SU0dhPbBQKfeoWHZVrCCqHbakiqjC+8NpJ77GyWPxTol8Q1LeLf2qNrzmnxNU4gEIKgupOUioFQTV/U4uxaL6BPF380zC+ZkVqzWNh0X1NHH/PFAgVQgvhdKJz/WbfAwcOYMuWLdi6dSu2bNmCl19+GefOnXP57E5KSgq6detm275+L83gwYMxZ84cZGVlISMjw/Z8bm4uRo8ejczMTAQHByMmJgbLli1D3759XZqfiIiIzMeipLuJXZSeno6UlBSkpqbizTff9NSwJSY7OxthYWGIfWwy/AODbjwhJbrin9VSP2Ei3b+WpbMImv2kv5jF8YQ2KTFWQgpcILWVE9qs9m+pvArGvwCkMzrBVuNN7NIZHX/pjM5l4wvlJ9wT73dVaJPO6AhnG6Q26YyOuK/uGR2pn26b+EegMIdufOJfhsX3040N0vrFMxx6/cR4xVj01qU7r+5f+NLrIu4rngzR/Ctde72uj+fR8SUuxlFoLNpzuLGvbj/dfcWfPQ+f0XE1Pt0zOu68TuK8Dv+uFOTif7/Pxvnz54u939Zj1csBICoqClFRUXjggQc8OSwRERGRS0rkU1dEREREvoCJDhEREZkWEx0iIiIyLSY6REREZFpMdIiIiMi0mOgQERGRaTHRISIiItNiokNERESmxUSHiIiITMuj34xsZtJXiyuhjoMbNf/kr37X7Cd9O7jHC31q17JzmFkZa0xczS9vbLvN+Ha8r12KoW1JaitDmzpv3DfgD6HQp1TuQioLIbSJZdyEF08qOCmWXRAKkcrlGdwoFSEV/5TiE0tF6BUndXyjSWVGxPHFooLC+JrFOnWLfyqpaKb4VfqaRQ/FOi2aP8y6tRt1K6xKP8zulI+Qfugd9nWrCKdubJrr0i5oJMUnvW89XsbBwwVBPV38U+K4r249S+3XycUioWJlXxnP6BAREZFpMdEhIiIi02KiQ0RERKbFRIeIiIhMi4kOERERmRYTHSIiIjItJjpERERkWkx0iIiIyLSY6BAREZFpMdEhIiIi02KiQ0RERKbFRIeIiIhMi0U9fYhYx03qqFsvUNpZs2iidqFP3XkdWAqMe+YXWA1ti7cYC3jWi/rV0Hbs9G2Gttzfgg1tUqFP/yt6xT+lQp8qT+jnVqFPoU0oQOhW8U+xDqDnin+KNQXFsTTHF4qfijUzhddE7KdZa9FbBUGVUEhTiln8qXcnFlcLgrpYDLSw4cV1ie9jF4tSAm4WCdWLr1SKhIqvs/jGNbZd+sPYFmT8HawVn6sFQgHXi4RahF/SheAZHSIiIjItn0l01q1bh379+qFmzZqwWCz4+uuvi91n7dq1aN26NYKCglCvXj1Mnz695AMlIiKiMsNnEp1Lly6hZcuW+M9//qPVPz09HX379kWnTp2QmpqK8ePHY+TIkUhKSirhSImIiKis8Jl7dPr06YM+ffpo958+fTpq166NadOmAQCaNGmClJQUTJ06FQMGDCihKImIiKgs8ZkzOs766aef0KtXL7u23r17IyUlBVevCneNAsjJyUF2drbdg4iIiMyrzCY6J0+eRPXq1e3aqlevjry8PJw+fVrcZ8qUKQgLC7M9IiMjSyNUIiIi8pIym+gAgMXhY2nq2sfPHNuvGzduHM6fP297HDt2rMRjJCIiIu/xmXt0nFWjRg2cPHnSru3UqVMICAhAlSpVxH2sViusVuF7AoiIiMiUyuwZnfj4eKxatcqubeXKlWjTpg3KlSvnpaiIiIjIl/hMonPx4kWkpaUhLS0NwJ8fH09LS0NGRgaAPy87DRo0yNZ/2LBhOHr0KBISErBnzx7MmjULM2fOxOjRo70RPhEREfkgn7l0lZKSgm7dutm2ExISAACDBw/GnDlzkJWVZUt6ACAqKgrLly/H888/jw8//BA1a9bE+++/z4+WExERkY3PJDpdu3a13UwsmTNnjqGtS5cu2Lp1awlGRURERGWZzyQ6vk7pFh4rBW4V/9QsPqekInouvgTi9VGx4KhUvNL4Fk3fH25oK1fliqGtSfMMQ9ueQ7UMbQXZxjn8LxtjkYp6+uUa26RCnxapTShC6Se97u4U/9QtnCn2M7aJx8ihtp48vm5hUqFN830sFg7VLGIrtfl8QVCJdpFQDxYEdbUYKCAfC4FUJLSoP4w9Nq/uHLpFTHULsUp0C5uK6xXaQirq7etqUU/pHxGJq0VNpR+yQvjMPTpEREREnsZEh4iIiEyLiQ4RERGZFhMdIiIiMi0mOkRERGRaTHSIiIjItJjoEBERkWkx0SEiIiLTYqJDREREpsVEh4iIiEyLiQ4RERGZFmtdAYDl2uMa7bpWUtkS3ymJpU2sByStQ7N0iWFfoc6TboYt10gy7p13NdjQtudSTUNb7dq/Gdp+yzbWfLn8W3lDm98f/oY2/yuaNbE025RU/0m3JpRuP+2aWFKbRp0s4YfAT4rN+HIWUl9L6CeNJ9WSEmvw6M2rXddKqi+lO69mzSm5n7FJItVDEmvZSf3EmnT2jfLrpFdPTa6tpNWkX+dJort+aV9v1diS6n3pzqsZi9ZrKr23pVpfEH7A3XntHBXo/oPEMzpERERkYkx0iIiIyLSY6BAREZFpMdEhIiIi02KiQ0RERKbFRIeIiIhMi4kOERERmRYTHSIiIjItJjpERERkWkx0iIiIyLSY6BAREZFpMdEhIiIi0/Kpop4fffQR3n77bWRlZSEmJgbTpk1Dp06dxL7Jycno1q2boX3Pnj1o3LixU/MqPwuU342iedqFOd3o584c4r5uFBP1eCFSh3psYtFQoSijlHVLZdv8cvVelIL8coa2jCvVjeOF5hra7rtzi6Ft2aEYQ1vu70HG8YTin345QqFL47TwkwqgCm0WqU27qKc7bRoFQYX9pPp7coFQNwqOahbrlIuECvNqFLQsPBbdYp3SHJqxSMUVJbrjacfn2MedgpGux6Fb0FJ8D4i76k5iJK5NnsTYJsTn8SKmugVGdeZwo2ioxOXXLl/4hVcInzmjs2jRIjz33HOYMGECUlNT0alTJ/Tp0wcZGRlF7rdv3z5kZWXZHg0bNiyliImIiMjX+Uyi8+9//xtPPvkknnrqKTRp0gTTpk1DZGQkEhMTi9yvWrVqqFGjhu3h7y+UhiciIqJbkk8kOrm5udiyZQt69epl196rVy9s3LixyH3j4uIQHh6O7t27Y82aNUX2zcnJQXZ2tt2DiIiIzMsnEp3Tp08jPz8f1avb3z9RvXp1nDx5UtwnPDwcM2bMQFJSEhYvXozo6Gh0794d69atK3SeKVOmICwszPaIjIz06DqIiIjIt/jUzcgWi/1Nc0opQ9t10dHRiI6Otm3Hx8fj2LFjmDp1Kjp37izuM27cOCQkJNi2s7OzmewQERGZmE+c0alatSr8/f0NZ29OnTplOMtTlHbt2uHAgQOFPm+1WhEaGmr3ICIiIvPyiUQnMDAQrVu3xqpVq+zaV61ahfbt22uPk5qaivDwcE+HR0RERGWUz1y6SkhIwMCBA9GmTRvEx8djxowZyMjIwLBhwwD8edkpMzMTc+fOBQBMmzYNdevWRUxMDHJzczFv3jwkJSUhKSnJm8sgIiIiH+Izic5DDz2EM2fO4PXXX0dWVhaaNWuG5cuXo06dOgCArKwsu+/Uyc3NxejRo5GZmYng4GDExMRg2bJl6Nu3r7eWQERERD7GosSvg7w1ZGdnIywsDC0Hvwn/wBvfcGuWb0bW7iddwNQcT9rX0KbTB4ASvgKpQEjFxX7GL0FGQaDxrV0QZPy6Tumbke9tut3Qxm9G1mzT3k/zW4bd+mZkvW+7FV87t74ZWXNfjW8eLrSf9jcja45Xxr4ZWeTGNyPL3/irt6unvxlZew4Pz6s1h498M3Jefg7+d+BdnD9/vtj7bX3iHh0iIiKiksBEh4iIiEzLZ+7R8aaCAMBS3CuheanJ45ekdGNx59KVG3O4U0xUJxDxtLMwp99VaTypQKQxty+4ajW0LU5pbWgLqGicJL658esM9pwxfiXCuTMVjfFdFC5x5Rrjk4qYSuuVLr+Il72kyzS6l700LvGIx8zVAqFOtUmn1D1dJNTDxTp1i46WxqUwFy8Zycdb85Khxy9dSXOUxmUVqU1vX1+6LKd16crVS16Fhuba8SnI17/rhmd0iIiIyLSY6BAREZFpMdEhIiIi02KiQ0RERKbFRIeIiIhMi4kOERERmRYTHSIiIjItJjpERERkWkx0iIiIyLSY6BAREZFpMdEhIiIi02KiQ0RERKbFop4A8qyAurmuozuFKk1c/NPVfcU+QoqtNNNuqZ8y1seU1yAVsssXimZeNk6SnxdoaPtpTwPjvkHGSpphlS8a2h5snWpo++FkE0Nb1u9hhrbcP8oZ2nDF+CJYrgqFJPOkNuNwflI/jeKfukU9/YSx5IKBuuMJB1y7WKcwh2Y/ixvFOvXn0CxY6lZRT6FNYNi3NIqQeqn4qUR3Du19Jbprk0gFVd2Zw2Ft+u8xvWKdrhZOzRN+ZxWGZ3SIiIjItJjoEBERkWkx0SEiIiLTYqJDREREpsVEh4iIiEyLiQ4RERGZFhMdIiIiMi0mOkRERGRaTHSIiIjItJjoEBERkWkx0SEiIiLTuqVrXalrNTbyc6/YP8FaVyVf60oay41aVxBqXck1sYx1VaQ6WcpP6Jcn1W4RircUGIuw5PvnGNquXLxqaMu7ZOxX8McVY9tloVCUbq0roSaUVOsKQq0ruFrrSirV5OFaV+6MJ8YskOtQaY7n8VpXerF4o9aViLWufL/WldjPV2td5VwLr/j9LUqnl0kdP34ckZGR3g6DiIiIXHDs2DFEREQU2eeWTnQKCgpw4sQJhISE4MKFC4iMjMSxY8cQGhrq7dA8Ljs729TrA8y/Rq6v7DP7Gs2+PsD8aywr61NK4cKFC6hZsyb8/Iq+HHBLX7ry8/OzZYIWy58n7UJDQ3364LrL7OsDzL9Grq/sM/sazb4+wPxrLAvrCwsL0+rHm5GJiIjItJjoEBERkWkx0bnGarVi0qRJsFqt3g6lRJh9fYD518j1lX1mX6PZ1weYf41mXN8tfTMyERERmRvP6BAREZFpMdEhIiIi02KiQ0RERKbFRIeIiIhM65ZJdD766CNERUUhKCgIrVu3xo8//lho36ysLDzyyCOIjo6Gn58fnnvuudIL1A3OrHHx4sXo2bMnbr/9doSGhiI+Ph4//PBDKUbrPGfWt379enTo0AFVqlRBcHAwGjdujHfffbcUo3WNM2u82YYNGxAQEIDY2NiSDdBNzqwvOTkZFovF8Ni7d28pRuw8Z49hTk4OJkyYgDp16sBqtaJ+/fqYNWtWKUXrPGfW9/jjj4vHMCYmphQjdp6zx/Dzzz9Hy5YtUb58eYSHh2PIkCE4c+ZMKUXrPGfX9+GHH6JJkyYIDg5GdHQ05s6dW0qReoi6BSxcuFCVK1dOffLJJ2r37t1q1KhRqkKFCuro0aNi//T0dDVy5Ej16aefqtjYWDVq1KjSDdgFzq5x1KhR6q233lKbN29W+/fvV+PGjVPlypVTW7duLeXI9Ti7vq1bt6r58+ernTt3qvT0dPXZZ5+p8uXLq48//riUI9fn7BqvO3funKpXr57q1auXatmyZekE6wJn17dmzRoFQO3bt09lZWXZHnl5eaUcuT5XjuE999yj2rZtq1atWqXS09PVzz//rDZs2FCKUetzdn3nzp2zO3bHjh1TlStXVpMmTSrdwJ3g7Bp//PFH5efnp9577z11+PBh9eOPP6qYmBjVv3//Uo5cj7Pr++ijj1RISIhauHChOnTokFqwYIGqWLGiWrp0aSlH7rpbItG588471bBhw+zaGjdurMaOHVvsvl26dCkTiY47a7yuadOm6rXXXvN0aB7hifXdd9996rHHHvN0aB7j6hofeughNXHiRDVp0iSfTnScXd/1ROfs2bOlEJ1nOLvG77//XoWFhakzZ86URnhuc/fncMmSJcpisagjR46URHge4ewa3377bVWvXj27tvfff19FRESUWIzucHZ98fHxavTo0XZto0aNUh06dCixGD3N9JeucnNzsWXLFvTq1cuuvVevXti4caOXovIsT6yxoKAAFy5cQOXKlUsiRLd4Yn2pqanYuHEjunTpUhIhus3VNc6ePRuHDh3CpEmTSjpEt7hzDOPi4hAeHo7u3btjzZo1JRmmW1xZ49KlS9GmTRv861//Qq1atdCoUSOMHj0aly9fLo2QneKJn8OZM2eiR48eqFOnTkmE6DZX1ti+fXscP34cy5cvh1IKv/76K7766ivcfffdpRGyU1xZX05ODoKCguzagoODsXnzZly9erXEYvUk0yc6p0+fRn5+PqpXr27XXr16dZw8edJLUXmWJ9b4zjvv4NKlS3jwwQdLIkS3uLO+iIgIWK1WtGnTBsOHD8dTTz1VkqG6zJU1HjhwAGPHjsXnn3+OgADfrs/ryvrCw8MxY8YMJCUlYfHixYiOjkb37t2xbt260gjZaa6s8fDhw1i/fj127tyJJUuWYNq0afjqq68wfPjw0gjZKe7+nsnKysL333/vsz+DgGtrbN++PT7//HM89NBDCAwMRI0aNVCpUiV88MEHpRGyU1xZX+/evfHf//4XW7ZsgVIKKSkpmDVrFq5evYrTp0+XRthu8+3fjh50vTr5dUopQ1tZ5+oaFyxYgFdffRXffPMNqlWrVlLhuc2V9f3444+4ePEiNm3ahLFjx6JBgwZ4+OGHSzJMt+iuMT8/H4888ghee+01NGrUqLTCc5szxzA6OhrR0dG27fj4eBw7dgxTp05F586dSzROdzizxoKCAlgsFnz++ee2Ssz//ve/cf/99+PDDz9EcHBwicfrLFd/z8yZMweVKlVC//79Sygyz3Fmjbt378bIkSPxyiuvoHfv3sjKysKLL76IYcOGYebMmaURrtOcWd/LL7+MkydPol27dlBKoXr16nj88cfxr3/9C/7+/qURrttMf0anatWq8Pf3N2Srp06dMmS1ZZU7a1y0aBGefPJJfPHFF+jRo0dJhukyd9YXFRWF5s2bY+jQoXj++efx6quvlmCkrnN2jRcuXEBKSgpGjBiBgIAABAQE4PXXX8e2bdsQEBCA1atXl1boWjz1c9iuXTscOHDA0+F5hCtrDA8PR61atWxJDgA0adIESikcP368RON1ljvHUCmFWbNmYeDAgQgMDCzJMN3iyhqnTJmCDh064MUXX0SLFi3Qu3dvfPTRR5g1axaysrJKI2xtrqwvODgYs2bNwh9//IEjR44gIyMDdevWRUhICKpWrVoaYbvN9IlOYGAgWrdujVWrVtm1r1q1Cu3bt/dSVJ7l6hoXLFiAxx9/HPPnz/fJ68nXeeoYKqWQk5Pj6fA8wtk1hoaGYseOHUhLS7M9hg0bhujoaKSlpaFt27alFboWTx3D1NRUhIeHezo8j3BljR06dMCJEydw8eJFW9v+/fvh5+eHiIiIEo3XWe4cw7Vr1+LgwYN48sknSzJEt7myxj/++AN+fvb/lF4/06F8rJSkO8ewXLlyiIiIgL+/PxYuXIi//vWvhnX7rNK//7n0Xf843cyZM9Xu3bvVc889pypUqGC783/s2LFq4MCBdvukpqaq1NRU1bp1a/XII4+o1NRUtWvXLm+Er8XZNc6fP18FBASoDz/80O7jn+fOnfPWEork7Pr+85//qKVLl6r9+/er/fv3q1mzZqnQ0FA1YcIEby2hWK68T2/m65+6cnZ97777rlqyZInav3+/2rlzpxo7dqwCoJKSkry1hGI5u8YLFy6oiIgIdf/996tdu3aptWvXqoYNG6qnnnrKW0sokqvv0ccee0y1bdu2tMN1ibNrnD17tgoICFAfffSROnTokFq/fr1q06aNuvPOO721hCI5u759+/apzz77TO3fv1/9/PPP6qGHHlKVK1dW6enpXlqB826JREcppT788ENVp04dFRgYqFq1aqXWrl1re27w4MGqS5cudv0BGB516tQp3aCd5Mwau3TpIq5x8ODBpR+4JmfW9/7776uYmBhVvnx5FRoaquLi4tRHH32k8vPzvRC5Pmffpzfz9URHKefW99Zbb6n69euroKAgddttt6mOHTuqZcuWeSFq5zh7DPfs2aN69OihgoODVUREhEpISFB//PFHKUetz9n1nTt3TgUHB6sZM2aUcqSuc3aN77//vmratKkKDg5W4eHh6tFHH1XHjx8v5aj1ObO+3bt3q9jYWBUcHKxCQ0PVvffeq/bu3euFqF1nUcrHzq0REREReUgZucBGRERE5DwmOkRERGRaTHSIiIjItJjoEBERkWkx0SEiIiLTYqJDREREpsVEh4iIiEyLiQ4RERGZFhMdIiIiMi0mOkRERGRaTHSIyJTWr1+PO++8E0FBQahatSreffddb4dERF7ARIeITGf58uW477778Mwzz2D79u14+umnkZCQgEOHDnk7NCIqZSzqSUSmcuXKFTRs2BBvvfUWHnnkEQBAfn4+brvtNkybNg1PPPGElyMkotLEMzpEZCqrV6/G5cuX8dBDD9na/P39ERAQAKvV6sXIiMgbmOgQkamsWbMGLVu2hL+/v60tPT0dZ8+eRatWrbwYGRF5AxMdIjKV1NRU5Obm2rV98MEHaNWqFZo0aeKlqIjIWwK8HQARkSelpaWhoKAAn376KeLj4/HFF18gMTERGzZs8HZoROQFTHSIyDQyMjJw5swZLFu2DC+99BL279+PFi1aYMWKFbxsRXSL4qeuiMg0li5diiFDhuDMmTPeDoWIfATv0SEi00hNTUXz5s29HQYR+RAmOkRkGqmpqWjRooW3wyAiH8JLV0RERGRaPKNDREREpsVEh4iIiEyLiQ4RERGZFhMdIiIiMi0mOkRERGRaTHSIiIjItJjoEBERkWkx0SEiIiLTYqJDREREpsVEh4iIiEyLiQ4RERGZVoC3A/C2K1euIDc319thEBERkRMCAwMRFBRUbL9bOtG5cuUKwoJvQy6ueDsUIiIickKNGjWQnp5ebLJzSyc6ubm5yMUVdERfBFisAACLnwXX/sdh+9p/HbYtfn4Oz9+0fb3PtbEc9xX3AYBr/ylsThQ2Hm7adnhO2cZyGNui2w/2zzvEaNd+vc3PsU8xY/rJczjup2C/3OtrVZYi9nF4iYp93q/o/jY3P2/oW9h2Yesrbr9Ctovq4/C87tjOtBv6oJB9C2vXnlsZ24uJ07YPHBj2U8XEpIz7ObRZihsLjv3to7IUM57F9l9pbmU/5c19b/qvn2EsVeTzfjCOa3vOsa/jPo7thfz3xo9xMf2hbmorcBjDfu7rz/tb5Pbrvx79bbHaj3djvxvt/nDsU2A3t79tjGtz29Z1fdshBsfxUGA/zk3j2voCdn1vjO24XsexjGPaxVRIu+Wmdd+IX9lt32iH3Vi2WG2vtcWh/fq2/F9/iwV+13rfaLuxnX2hAHVaH0Fubi4THR0BKIcASzkAgMUhmXDcdvzNYTG037Tt59BHO9Ex/HaS5yhsvBJJdIp+vlQTHcd/QLyQ6IjjaSYRHk90ipobro3tVqJT2L5wbi6PJjoOMfhUolPotv14Nyclhe17422ql8hoJzo3Pe/pRMcP+v0KS3SMYxSX6Dj+I+16ouOYJBSW2Bi3nU90/G19Ldf2tdht34j7+rb98zfGvN7umBjBIVZlS9h0Ex1/FxOdG8/fiL3wRMe524t5MzIRERGZFhMdIiIiMi0mOkRERGRaTHSIiIjItJjoEBERkWkx0SEiIiLTYqJDREREpsVEh4iIiEyLiQ4RERGZFhMdIiIiMi0mOkRERGRaTHSIiIjItJjoEBERkWkx0SEiIiLTYqJDREREpsVEh4iIiEyLiQ4RERGZFhMdIiIiMi0mOkRERGRaTHSIiIjItAK8HYAvyMNVQP2Z81mU5Vqr4/a1/zpsW5Sfw/M3bRdc62Nx6GNx+O/1fNPWDofnHfcrZLybt5X9c+p6H+UwtkW3H+yfL4C8n+WmNj/HPsWM6eewbXjJLXah2V4nv5vGL2yfQg9jIc87HlbDMRGel98iwnZh6ytuv0K2i+rj8Lzu2M60G/qgkH0La9eeWxnbi4nTtg8cGPZTxcSkjPs5tFmKGwuO/e2jshQznsX2X2luZT/lzX1v+q8yjKWKfF7BftwCi7I95+fQ9/q2HwppL+S/N36Mi+kPdVNbgcMY9nNff97fIrdf+5UBf1us9uPd2O9Guz8c+xTYze1vG+Pa3LZ1Xd92iMFxPBTYj3PTuLa+gF3fG2M7rtdxLOOYdjEV0m65ad034ld22zfaYTeWLVbba21xaL++Lf/X32Kx9b3RdmOO7AvX/xEq3i2d6AQGBqJGjRpYf3L5jd+E+V4NiYiIiDTUqFEDgYGBxfazKKUMf+zcSq5cuYLc3Fxvh1EmZGdnIzIyEseOHUNoaKi3w6Fi8HiVPTxmZQuPl3cFBgYiKCio2H639BkdAAgKCtJ6oeiG0NBQ/lCXITxeZQ+PWdnC4+XbeDMyERERmRYTHSIiIjItJjqkzWq1YtKkSbBard4OhTTweJU9PGZlC49X2XDL34xMRERE5sUzOkRERGRaTHSIiIjItJjoEBERkWkx0SEiIiLTYqJDREREpsVEh1xSt25dWCwWu8fYsWO9HRZpyMnJQWxsLCwWC9LS0rwdDhXinnvuQe3atREUFITw8HAMHDgQJ06c8HZYJDhy5AiefPJJREVFITg4GPXr18ekSZNYXshH3PIlIMh1r7/+OoYOHWrbrlixohejIV1jxoxBzZo1sW3bNm+HQkXo1q0bxo8fj/DwcGRmZmL06NG4//77sXHjRm+HRg727t2LgoICfPzxx2jQoAF27tyJoUOH4tKlS5g6daq3w7vl8Xt0yCV169bFc889h+eee87boZATvv/+eyQkJCApKQkxMTFITU1FbGyst8MiDUuXLkX//v2Rk5ODcuXKeTscKsbbb7+NxMREHD582Nuh3PJ46Ypc9tZbb6FKlSqIjY3F5MmTeZrWx/36668YOnQoPvvsM5QvX97b4ZATfv/9d3z++edo3749k5wy4vz586hcubK3wyAw0SEXjRo1CgsXLsSaNWswYsQITJs2Dc8884y3w6JCKKXw+OOPY9iwYWjTpo23wyFNL730EipUqIAqVaogIyMD33zzjbdDIg2HDh3CBx98gGHDhnk7FAITHbrJq6++arjB2PGRkpICAHj++efRpUsXtGjRAk899RSmT5+OmTNn4syZM15exa1F95h98MEHyM7Oxrhx47wd8i3NmZ8xAHjxxReRmpqKlStXwt/fH4MGDQLvNig9zh4vADhx4gTuuusuPPDAA3jqqae8FDndjPfokM3p06dx+vTpIvvUrVsXQUFBhvbMzExERERg06ZNaNu2bUmFSA50j9nf//53fPvtt7BYLLb2/Px8+Pv749FHH8Wnn35a0qES3PsZO378OCIjI7Fx40bEx8eXVIh0E2eP14kTJ9CtWze0bdsWc+bMgZ8fzyX4AiY65BHfffcd+vXrh6NHj6J27dreDoccZGRkIDs727Z94sQJ9O7dG1999RXatm2LiIgIL0ZHOo4dO4batWtjzZo16Nq1q7fDIQeZmZno1q0bWrdujXnz5sHf39/bIdE1/Hg5Oe2nn37Cpk2b0K1bN4SFheGXX37B888/b/veD/I9jsfl+lcB1K9fn0mOD9q8eTM2b96Mjh074rbbbsPhw4fxyiuvoH79+jyb44NOnDiBrl27onbt2pg6dSp+++0323M1atTwYmQEMNEhF1itVixatAivvfYacnJyUKdOHQwdOhRjxozxdmhEphAcHIzFixdj0qRJuHTpEsLDw3HXXXdh4cKFsFqt3g6PHKxcuRIHDx7EwYMHDX848KKJ9/HSFREREZkW75QiIiIi02KiQ0RERKbFRIeIiIhMi4kOERERmRYTHSIiIjItJjpERERkWkx0iIiIyLSY6BAREZFpMdEhIiIi02KiQ1RGvPDCC+jXr5/X5k9OTkbdunW9Nj+VPB5jMiMmOkRlRFpaGmJjY70dBhFRmcJEh6iM2LZtGxMdIiInMdEhKgOOHTuGM2fO2BKdnTt3om/fvggNDUWNGjXwwgsvIDc3126fXbt2oXPnzggODkZsbCw2bNgAi8WCbdu2eTS2ESNGoGPHjuJzdevWxeTJk92e4+DBg7BYLFi2bBm6d++O8uXLIzo6Gj///LPbY9/s119/hcViwXvvvYe4uDgEBQUhJiYG69evt+tXGmv2lLIUK1FJYKJDVAakpaUhJCQE9erVQ2pqKtq3b49WrVph69atWLRoERYsWIC33nrL1n/Xrl1o164dOnXqhNTUVLzyyiu4//77Ua5cOTRp0sRjce3evRuJiYl2c9+sSZMmSEtLc3uebdu2wWKx4J133sHEiROxbds21K5dG2PHjnV77JulpqYCAD766CO8++672LZtG+rWrYtHH30UBQUFAEpvzZ5QlmIlKilMdIjKgLS0NLRs2RIWiwVDhw7FwIED8cYbb6BBgwbo0qULhg4diu+++87Wf8SIEejbty8mT56Mxo0b429/+xvi4+PRtGlTBAYGAgDuu+8+3Hbbbbj//vvt5vruu+8QHR2Nhg0b4r///W+Rcb399tu444470KFDB/H5ypUr49dff7VtHz58GN9++63T69+2bRvCwsKwaNEidOvWDQ0bNkT//v3x22+/OT1WcfOUK1cOK1asQNeuXREdHY3XX38dGRkZyMzMBOD8mp3x9ddf47nnnnM1fIOSjJWorGCiQ1QGXL8Ree/evdiyZQueffZZu+cDAwORk5MDADhy5AiSk5Pxyiuv2PWxWq1o2bKlbXvkyJGYO3euXZ+8vDwkJCRg9erV2Lp1K9566y38/vvvYkx5eXlISkrCgAEDbG1PP/00Zs6cadu+cOECKlSoYNv+/vvvsXfvXqfWnp+fj23btqFfv364/fbbbe2HDx9GgwYNDP1fffVVWCyWIh8pKSniXGlpafjb3/6GqKgoW5vVanVrzc7Yvn07WrRo4ZE1lXSsRGUFEx2iMuB6orNr1y6UK1cOjRo1snt+9+7daN68OYA/z0oEBgYiJibGrs+ePXvsbmbu1q0bQkJC7Pps3rwZMTExqFWrFkJCQtC3b1/88MMPYkyHDh3ChQsXbPMWFBTgyy+/RMWKFW19tm/fbrtUtnbtWkycOBGffPIJ4uLicPnyZezYsQPx8fFo1qwZBgwYYLvPqE+fPhgzZgw6d+6MuXPnYtu2bYiPj7ebPzU1Vbw5e8SIEdizZ0+Rj2bNmhX5Ot9s69atqFq1KmrVquX0mvv374+HHnoId9xxBxo2bGi7P6qwdReW6LiyJmdjJTKrAG8HQERFu3DhAtLT0xEbG4szZ84gPz8fV69etZ1pyMjIwFdffYWvv/4aAODv74+8vDxcuXIFQUFBAP5MMrZt22Z3Rkdy4sQJ1KpVy7YdERFhu2Tj6Ny5cwBg+4fzhx9+wNmzZ22XxjZv3oyjR4+if//+AIAuXbqgWbNmmD9/PiIjI3HlyhU8/PDDWLx4MRo1aoSnn34aCxcuxKBBg7Bz507cddddWLduHc6fP48nnngCcXFxdvOnpaVh5MiRhriqVq2KqlWrFrlOyeXLl3HgwAHk5+fb2goKCvDee+9h8ODB8PPzc3rN27dvx//93/9h0aJF+PTTTzFt2jQkJiYWuu5du3YZElRX1+RsrERmxTM6RD4uLS0N/v7+aNasGdq2bYvKlStj7NixOHz4MFavXo0+ffrggQceQJ8+fQAArVu3Rrly5fDiiy/i8OHD+O677/Dkk08CQLEfT1dKGdosFovYt06dOrBYLFiwYAFSU1PxwgsvoG/fvvjmm2+QmpqKp59+Gn/5y1/QuXNn2z7Hjx9HZGQkgD/vR7nrrrtsZ6caN26M3377DefPn4fFYsGoUaMA/HmGyt/f3y5JO3r0KM6ePevRj9vv2LEDFosF8+bNw08//YQ9e/bgoYcewrlz5zBx4kSn13zx4kXk5OQgISEBwJ83/p49e7bQdf/xxx/w8/NDcHCwR9bjyvEhMiMmOkQ+btu2bWjcuDGsVivCwsLwzTffYP369WjWrJntxuRPP/3U1j88PByzZs3CN998gxYtWmDWrFkYMmQIGjRogMqVKxc5V61atezO4Bw/fhzh4eFi3xo1amDy5MmYN28e+vTpg4SEBEyZMgVr165Fx44dER0djS+//NJurJvPFu3Zs8fussmuXbvQtGlT7Ny5E+3btzes/+YEIDU1FZUqVfLot/impaWhcePGmDhxIu6//360adMGfn5++Omnn1CpUiWn17x9+3bExMTA398fwJ+XwJo3b17kuqWzOa5y9vgQmZYiIlPLz89XnTt3VuPGjTM8t2bNGjVgwADb9tWrV1WDBg3U8ePHVXZ2tmrQoIE6ffq0rW+dOnVcjmPdunXqgQcesG0nJiaq0aNHK6WU2rJli2revLnKy8tT06dPV2+88YbL87jqmWeeUQ8//LDHxktMTFSNGjVSubm56tSpU6pFixbqyJEjha77k08+Uf/4xz88Nr8r3D3GRL6I9+gQmcy6devw22+/IS4uDqdPn8bbb7+NI0eOYMmSJXb9evfuja1bt+LSpUuIiIjAkiVLcMcdd+Cdd95Bt27dUFBQgDFjxqBKlSoeiatZs2Y4cOAAmjdvji+//BIDBw7Egw8+iObNm+O2227DF198AX9/f+zatQs9evTwyJzOSEtL82gtse3bt+O+++5Dhw4dcPnyZbzzzjuoU6dOoevesWMHunfv7rH5iehPFqWEi/JEVGZ9+eWXGDt2LDIzM1G9enX06NEDb775JqpXr+7WuMnJyXj88cdx5MgRzwTqQ5RSCAsLw8KFC9G3b1+PjNmxY0csWLDAdk9SWWDmY0y3LiY6RKTlyJEjHv9COzOLiopCenq6t8NwCo8xmRETHSIiIjItfuqKiIiITIuJDhEREZkWEx0iIiIyLSY6REREZFpMdIiIiMi0mOgQERGRaTHRISIiItNiokNERESmxUSHiIiITIuJDhEREZkWEx0iIiIyrf8HcmehIAcb6rcAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rho = np.linspace(0.1, 0.97, 100)\n", "xi = 0.9\n", "energy = np.linspace(0.1, 3.5, 20) * 1e6\n", "\n", "a5.simulation_initinputs()\n", "a5.input_eval_orbitresonance(rho, xi, energy, \"alpha\", plot=True, n=4, p=7, omega=0.0)\n", "a5.simulation_free()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The resonance can be visualized also in (rho, pitch) and (pitch, energy) bases.\n", "\n", "> **_NOTE:_**\n", " This function performs poorly close to the magnetic axis as the current machinery doesn't separate potato orbits." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2025-04-01T09:03:51.778994Z", "iopub.status.busy": "2025-04-01T09:03:51.778826Z", "iopub.status.idle": "2025-04-01T09:03:54.328885Z", "shell.execute_reply": "2025-04-01T09:03:54.328293Z" } }, "outputs": [ { "data": { "image/png": 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xbdo0ZGVlISQkBAkJCear6rKysqzWhDKZTFi9ejU+/PDDcuu8dOkSXnjhBWRnZ8NoNKJDhw7Yvn07unTpIn08RERE5BgUIWR/YXn7yc3NhdFoxIgtw+F2h7wcqK2/tZBWd6mCP+QvIKq7IjehxOWq/AQGl2vSm4A+T34bukL5begL5NavK5T/kabFPOmKOA6b6i+WP0+KBu+FosU4NFiK3PFzoPKwY/tUmEwmeHt7V1rWoc9A2bszLzaCi946ubymNIcGv7U1aOPoCz7S25DNWRKXtfiALZH9qaNJxq8Wf3dqMA4nuMBCi589xUX+RMm+xREAXGksf7Jk/3zL/owqzhfAdtvKOmwSOREREVFtYQBFREREpBIDKCIiIiKVGEARERERqcQkcomEiw5Czxi1Kq3i/5DbgA239qHrzjxcX3obQnIyvNDgU61Eg2NK9jwBQIkWV365yp2rnL7yL3Rx31tHeht59/4pvQ2Xw/LHEbDpqtwGSuQes0VFeThiY1n+diciIiJSiQEUERERkUoMoIiIiIhUYgBFREREpBKTyCUSrnoIvQaZoFQ5Z0ki12Ac/tsvS29D9p9tWly4kR0uPxk3t3WR9DZ0HvLbcDsp93ZQdf/nKbV+APA+lS+9DWWv/ONWKZGc4A1Aly/5mCqRuxS5rtj2/vMMFBEREZFKDKCIiIiIVGIARURERKQSAygiIiIilZhELpHQ6+QmkWsR/jpBArbQYgw6+W2UuGjQhkH+RQ9FnnLb0F8rllo/ANyZIj+p2Jgu/+PZkCO9CaBE7krhiuSVqQFA0WDFdmjQhCI5ARsAlELJP3+Sx6AU295/noEiIiIiUokBFBEREZFKDKCIiIiIVGIARURERKQSAygiIiIilRz+KrwFCxZg1qxZyMrKQtu2bTF37lx079693LJbt25Fz549rbYfOXIErVu3Nj9fvXo13n77bZw4cQLNmzfH9OnTMWjQINV9E656CBd5VxwJDcJfocHVZbKvYCt2kz9RBd7yf5Rc/5R/dZmuUP6lQG6XCqXWrxRrcKVRkfx58vyzQHobWlxdVuIq96pLRWhxhZxzXOmn5Mk/piD5x0/2+63m88Ohz0CtXLkS48aNw8SJE5GSkoLu3bujb9++yMjIqHS/o0ePIisry/xo2bKl+bWkpCRERUUhOjoaBw4cQHR0NIYNG4Y9e/bIHg4RERE5CEUILcJ3OcLCwtCxY0csXLjQvC04OBgDBw7EjBkzrMqXnoHKyclB3bp1y60zKioKubm52LBhg3lbnz59UK9ePSxfvrzcffLz85Gff2NdmNzcXAQEBOCBsElwcZF3I02egbINz0DZToszULpC2eu4OMcZKE3W7OEZKNvwDJTtHPwMVFFxPjYd+wAmkwne3t6VlnXYM1AFBQVITk5GZGSkxfbIyEjs2rWr0n07dOgAf39/PPTQQ9iyZYvFa0lJSVZ19u7du9I6Z8yYAaPRaH4EBASoHA0RERE5EocNoC5cuIDi4mL4+vpabPf19UV2dna5+/j7+2PRokVYvXo11qxZg6CgIDz00EPYvn27uUx2draqOgFgwoQJMJlM5kdmZuYtjIyIiIjsncMnkStlbtMhhLDaViooKAhBQUHm5+Hh4cjMzMS//vUv9OjRo1p1AoDBYIDBYLDaXuyhhyIxibxEL//rtexwN+lt3Jkq96spfZ78r0LcL8pNjAYAocH7rcXXCC5X5H6NUOyhwceaBl9tC03+vpX/s6H/U+5tb4SbBu83vya0nexxyL51z+2QRO7j4wO9Xm91Zuj8+fNWZ5Aq07VrVxw/ftz83M/P75brJCIiIufmsAGUm5sbOnXqhMTERIvtiYmJiIiIsLmelJQU+Pv7m5+Hh4db1fn999+rqpOIiIicm0N/hRcbG4vo6Gh07twZ4eHhWLRoETIyMjB69GgA13OTzpw5gyVLlgAA5s6di6ZNm6Jt27YoKCjA0qVLsXr1aqxevdpc59ixY9GjRw/MnDkTjz32GNatW4dNmzZh586dtTJGIiIisj8OHUBFRUXh4sWLmDZtGrKyshASEoKEhAQEBgYCALKysizWhCooKMAbb7yBM2fOwMPDA23btsV3332Hfv36mctERERgxYoVmDRpEt5++200b94cK1euRFhYmObjIyIiIvvk0OtA2avc3FwYjUZ0HD4dejd560AZTBqsCyS/CelJgS5/FkmtHwB0GqwLJD15Ek6y9pAGY9Ag91qT98IpkqM1mCZIXssKAJR8+ReiaPEZIv39lr0OVEk+Np2c59zrQBERERHVFgZQRERERCoxgCIiIiJSiQEUERERkUoOfRWevTNcKoaLqxZZ2PIUu8pfcdn9gtyVqXnjVxW0SCqWPA5Nbi7rLAneWiTDO3hSMQDgmgaf486Q0K9VGzKp6D/PQBERERGpxACKiIiISCUGUEREREQqMYAiIiIiUolJ5BK5/lkEFxd5q2BrkVSsFGmQHC17dVwNkho1SfB2lhW2pa9MzQRvW2mScC/9/XaCMThTG9I/zyX/YJTYfsEAz0ARERERqcQAioiIiEglBlBEREREKjGAIiIiIlKJSeQSCUWBUCSu5K1F+OuiQSOyE7C1SDLVJONXL78Jnfy5ErKTvLWYJy2ScbV4L5whcZnJ9vYlL19u/Xa0sj3PQBERERGpxACKiIiISCUGUEREREQqMYAiIiIiUokBFBEREZFKDn8V3oIFCzBr1ixkZWWhbdu2mDt3Lrp3715u2TVr1mDhwoVITU1Ffn4+2rZtiylTpqB3797mMosXL8azzz5rte+1a9fg7u6uqm+6wmLohO3Lwqulya1ctLiCTfI4FCe5tYcmt4vRYBzCTe7HjpJXILV+wImuynKG26DwvbCd7NugAM5zNaENHPoM1MqVKzFu3DhMnDgRKSkp6N69O/r27YuMjIxyy2/fvh0PP/wwEhISkJycjJ49e+LRRx9FSkqKRTlvb29kZWVZPNQGT0REROS8FKHJQiByhIWFoWPHjli4cKF5W3BwMAYOHIgZM2bYVEfbtm0RFRWFd955B8D1M1Djxo3DpUuXqt2v3NxcGI1G3B8+CS4u8gIvnoGyDc9AqeAMZ6Cu8gyUzXgGyn7a4Bkou1BUko9NmQthMpng7e1daVmHPQNVUFCA5ORkREZGWmyPjIzErl27bKqjpKQEly9fRv369S22X7lyBYGBgWjSpAn69+9vdYaqrPz8fOTm5lo8iIiIyHk5bAB14cIFFBcXw9fX12K7r68vsrOzbapj9uzZ+PPPPzFs2DDzttatW2Px4sVYv349li9fDnd3d3Tr1g3Hjx+vsJ4ZM2bAaDSaHwEBAdUbFBERETkEh08iV8rcKkUIYbWtPMuXL8eUKVOwbt06NGzY0Ly9a9eu6Nq1q/l5t27d0LFjR8yfPx/z5s0rt64JEyYgNjbW/Dw3NxcBAQFQSgBF5hlTLc6UavHVlDOc4tfgzLizfFUhO8mbX6+p4ARzJdxdpdYPAMqfkm9PAvDrNVvJ/rlQUb/DBlA+Pj7Q6/VWZ5vOnz9vdVaqrJUrV2LUqFFYtWoVevXqVWlZnU6He++9t9IzUAaDAQaDwfbOExERkUNz2K/w3Nzc0KlTJyQmJlpsT0xMRERERIX7LV++HCNHjsSXX36JRx55pMp2hBBITU2Fv7//LfeZiIiInIPDnoECgNjYWERHR6Nz584IDw/HokWLkJGRgdGjRwO4/tXamTNnsGTJEgDXg6dnnnkGH374Ibp27Wo+e+Xh4QGj0QgAmDp1Krp27YqWLVsiNzcX8+bNQ2pqKj7++OPaGSQRERHZHYcOoKKionDx4kVMmzYNWVlZCAkJQUJCAgIDAwEAWVlZFmtC/fvf/0ZRURFeeeUVvPLKK+btI0aMwOLFiwEAly5dwgsvvIDs7GwYjUZ06NAB27dvR5cuXTQdGxEREdkvh14Hyl6VrgP1QJjsdaA0SDrUYq0p2YegButAOcsaTVrMleyEe6dJItfi59sZ5kqLZHstOEsSuez3Q/IYikrysensv517HSgiIiKi2sIAioiIiEglBlBEREREKjGAIiIiIlLJoa/CIyfB6xhsw3myjTMkypJ9cZYEb6pRPANFREREpBIDKCIiIiKVGEARERERqcQAioiIiEglJpGT89Mg/5Nsp8lK4URkjRc/1CiegSIiIiJSiQEUERERkUqqA6j09HQZ/SAiIiJyGKoDqODgYIwbNw4XLlyQ0R8iIiIiu6c6gNqxYwfS0tLQvHlzTJ8+HVevXpXRL7KBUBTpDyIiIpsJIfdhR1QHUPfeey8SExOxatUq/Pe//0WLFi2waNEilJTwUiciIiK6PVQ7iTwyMhJ79+7FnDlzMHv2bLRp0wZr1qypyb4RERER2aVbvgrvkUceQVxcHOrXr4+hQ4fWRJ+IiIiI7JrqhTTj4+ORlpaGw4cPIy0tDWfOnIGiKLjrrrvQv39/GX0kIiIisiuqA6gJEyYgJCQEoaGhGDx4MEJDQxESEoI6derI6B8RERGR3bE5gPq///s/DBw4EOfOnZPZH6cidNcfsiha5O1rsdSqkHy1n06DKzeK5TdBRET2w+Zfj1lZWejfvz/8/f3xwgsvICEhAfn5+TL7ZpMFCxagWbNmcHd3R6dOnbBjx45Ky2/btg2dOnWCu7s77r77bnzyySdWZVavXo02bdrAYDCgTZs2WLt2razuExERkQOyOYD67LPPcO7cOXz11VeoW7cuYmNj4ePjg8cffxyLFy+ulYU1V65ciXHjxmHixIlISUlB9+7d0bdvX2RkZJRbPj09Hf369UP37t2RkpKC//u//8Orr76K1atXm8skJSUhKioK0dHROHDgAKKjozFs2DDs2bNHq2ERERGRnVOEqP7KVEeOHME333yDdevWYd++fQgLC8OAAQPwxBNPoHHjxjXZz3KFhYWhY8eOWLhwoXlbcHAwBg4ciBkzZliVf+utt7B+/XocOXLEvG306NE4cOAAkpKSAABRUVHIzc3Fhg0bzGX69OmDevXqYfny5Tb1Kzc3F0ajEfeHT4KLi3t1h1clpUj+V1OKBut7KcWSx+EMYwA0GYcWC9VJnystFtvT4q72WozDGdrQ5L1wjp89pzluJSoqycems/+GyWSCt7d3pWVvKcMlODgYb775Jn788UecPn0aI0aMwI4dO2wONG5FQUEBkpOTERkZabE9MjISu3btKnefpKQkq/K9e/fGvn37UFhYWGmZiuoEgPz8fOTm5lo8iIiIyHmpvgqvInfeeSdGjRqFUaNG1VSVlbpw4QKKi4vh6+trsd3X1xfZ2dnl7pOdnV1u+aKiIly4cAH+/v4VlqmoTgCYMWMGpk6darXd9dTvcNG52Tok9Yo1yFzW4KyHkD2OYg3+etTgvRBanIHSYK6E5L/mhZOckXCWcbjc3VR6G0S1QYtrrKRSytyvTQhhta2q8mW3q61zwoQJMJlM5kdmZqbN/SciIiLHU2NnoLTm4+MDvV5vdWbo/PnzVmeQSvn5+ZVb3sXFBQ0aNKi0TEV1AoDBYIDBYKjOMIiIiMgBVTuA+u6772y6Mm3atGnVbaJSbm5u6NSpExITEzFo0CDz9sTERDz22GPl7hMeHo5vvvnGYtv333+Pzp07w9XV1VwmMTERr732mkWZiIgICaMgIiIiR1TtAKply5bw8PCoyb6oFhsbi+joaHTu3Bnh4eFYtGgRMjIyMHr0aADXv1o7c+YMlixZAuD6FXcfffQRYmNjERMTg6SkJMTFxVkkvY8dOxY9evTAzJkz8dhjj2HdunXYtGkTdu7cWStjJCIiIvtT7QBq48aNVS4wqSgKHnzwweo2UaWoqChcvHgR06ZNQ1ZWFkJCQpCQkIDAwEAA1xf/vHlNqGbNmiEhIQGvvfYaPv74YzRq1Ajz5s3D4MGDzWUiIiKwYsUKTJo0CW+//TaaN2+OlStXIiwsTH0HFQCV5E7dMp38FLbipn7S24Dky9q1WIpB9hgAjcahSRtyq9dpcRm1FhcmOMMSA1q1QfZD5u88wK6Op1taB4rKV7oOVK9GL8JFJzE3SoNfdsV3NZTeBgMo2zCAso3CAOr2asNJrlZ0mnWgZJM8T5qtA0VERER0O1IdQKWnp8voBxEREZHDUB1ABQcHY9y4cbVy7zsiIiIie6A6iXzHjh34v//7PzRv3hxvvvkmXnvtNXh6esrom8MruNsXJTLvhadBHoYm99vTyc6RkFu9ZmQnZ2rVBpwgD0OnwTxpcdwyBdZ+aPGzp0XSjjPkWdlI9XTee++9SExMxKpVq/Df//4XLVq0wKJFi1CiRfIpERERkR2odjwaGRmJvXv3Ys6cOZg9ezbatGmDNWvW1GTfiIiIiOzSLZ/Qe+SRRxAXF4f69etj6NChNdEnIiIiIrumOgcqPj4eaWlpOHz4MNLS0nDmzBkoioK77roL/fv3l9FHIiIiIruiOoCaMGECQkJCEBoaisGDByM0NBQhISGoU6eOjP45NKFTIGQmmwr5SYeKokFCoOzkSU2SM7VYvFF+E84wV6JEg58LZ0m+1uSiAck0SYzWoBEtFut0Bnb0+0J1AHXu3Dm1uxARERE5Fa5ETkRERKQSAygiIiIilRhAEREREanEAIqIiIhIJdVJ5GQ74aJAuMi7YkDR4GojodfgKh3ZFzRpMAZFgysiNWgCmlyTJfsqGi2uiNTizdDk6jIN2nAGznKlnxZvuOxh2NGtYngGioiIiEglBlBEREREKjGAIiIiIlKJARQRERGRSkwil6hEp6BEYgKzIjFB3UyL28XIDuO1SPDWyf9bRNEgAVRocLsYxQluH+I0Cf1a/AldbD9Jv6QB6ReJyK1ezU8ez0ARERERqeSwAVROTg6io6NhNBphNBoRHR2NS5cuVVi+sLAQb731FkJDQ1GnTh00atQIzzzzDM6ePWtR7oEHHoCiKBaP4cOHSx4NERERORKHDaCefPJJpKamYuPGjdi4cSNSU1MRHR1dYfmrV69i//79ePvtt7F//36sWbMGx44dw4ABA6zKxsTEICsry/z497//LXMoRERE5GAcMgfqyJEj2LhxI3bv3o2wsDAAwKefforw8HAcPXoUQUFBVvsYjUYkJiZabJs/fz66dOmCjIwM3HXXXebtnp6e8PPzkzsIIiIiclgOGUAlJSXBaDSagycA6Nq1K4xGI3bt2lVuAFUek8kERVFQt25di+3Lli3D0qVL4evri759+2Ly5Mnw8vKqsJ78/Hzk5+ebn+fm5gIAhKsC4Sovoa5Eg5XI9cVarHYuuwEtViJ3ltWvnWQcsmkwT0KDn2+nWHneWTjLaudC8sUuso8nFfU7ZACVnZ2Nhg0bWm1v2LAhsrOzbaojLy8P48ePx5NPPglvb2/z9qeeegrNmjWDn58fDh06hAkTJuDAgQNWZ69uNmPGDEydOlX9QIiIiMgh2VUO1JQpU6wSuMs+9u3bB6D8S6GFEDZdIl1YWIjhw4ejpKQECxYssHgtJiYGvXr1QkhICIYPH46vv/4amzZtwv79+yusb8KECTCZTOZHZmamypETERGRI7GrM1Bjxoyp8oq3pk2b4uDBgzh37pzVa7///jt8fX0r3b+wsBDDhg1Deno6Nm/ebHH2qTwdO3aEq6srjh8/jo4dO5ZbxmAwwGAwVFoPEREROQ+7CqB8fHzg4+NTZbnw8HCYTCb89NNP6NKlCwBgz549MJlMiIiIqHC/0uDp+PHj2LJlCxo0aFBlW2lpaSgsLIS/v7/tAyEiIiKnZlcBlK2Cg4PRp08fxMTEmJcYeOGFF9C/f3+LBPLWrVtjxowZGDRoEIqKijBkyBDs378f3377LYqLi835UvXr14ebmxtOnDiBZcuWoV+/fvDx8cHhw4fx+uuvo0OHDujWrZvqfha76aC4yvuWVCmSn8ha4iL/W16d7KRDiavBmwlNMkClt6Bo8K2+kDwORYPV1KHByvNavN+aJKrrJc9Vsfx5chrOkqguk4pbYzjsSJctW4bQ0FBERkYiMjIS7dq1wxdffGFR5ujRozCZTACA06dPY/369Th9+jTat28Pf39/82PXrl0AADc3N/zwww/o3bs3goKC8OqrryIyMhKbNm2CXi/7UjEiIiJyFA55Bgq4ftZo6dKllZYRN11a3rRpU4vn5QkICMC2bdtqpH9ERETkvBz2DBQRERFRbWEARURERKSSw36F5wguNddBb5AXo3pnyE8ANeQUSW9DdhyvzV8JGiSyFjlH4rLsRHXZSeoAE9XVkJ2oLj1JHQC0uNNAiRZ3AdCgDUVyG9LHYPvxyjNQRERERCoxgCIiIiJSiQEUERERkUoMoIiIiIhUYhK5RCVugCLxFnk5QfKTyPObyk8ybbJW7mHoclVq9QAAfYH8NqQnZwKAFtcMyF6J3AlWUwcAaLFKuPQWIP241SQvWpOLBjRog4u2V01hEjkRERGRNAygiIiIiFRiAEVERESkEgMoIiIiIpUYQBERERGpxKvwZNPgChGZ3H6TeBnhX853llu/1ym93AYAeJ6Xf/mayzX5l9DoCjS48qtY8q09iuT/0ClaXCFXLH8cQoOrsqSPQ4PL8JzmqkstruSV/X7IvuWNsP28Es9AEREREanEAIqIiIhIJQZQRERERCoxgCIiIiJSiUnkVDkNQuwSyUfhpdbyEydzguUnqnuflP/j6p0hPxlenyc3IVdXID/hV3YiPOA8yfDQyU4qdo73W/o8ARBa3PdG8kUD8hPhmUROREREJA0DKCIiIiKVHDaAysnJQXR0NIxGI4xGI6Kjo3Hp0qVK9xk5ciQURbF4dO3a1aJMfn4+/va3v8HHxwd16tTBgAEDcPr0aYkjISIiIkfjsAHUk08+idTUVGzcuBEbN25EamoqoqOjq9yvT58+yMrKMj8SEhIsXh83bhzWrl2LFStWYOfOnbhy5Qr69++P4uJiWUMhIiIiB+OQSeRHjhzBxo0bsXv3boSFhQEAPv30U4SHh+Po0aMICgqqcF+DwQA/P79yXzOZTIiLi8MXX3yBXr16AQCWLl2KgIAAbNq0Cb179y53v/z8fOTn55uf5+bmXv+PgMOvRC40yJ0UkpMnS1zlvwklnvID7Eud5I8jN0L+OFo2Oi+1/j/nNZFaPwC4XNViVXgN2ijSIAFbchtKifzzAEKDVeEVDZLhZSd4A4Ai+fNcSJ4noTh5EnlSUhKMRqM5eAKArl27wmg0YteuXZXuu3XrVjRs2BCtWrVCTEwMzp+/8WGenJyMwsJCREZGmrc1atQIISEhldY7Y8YM81eJRqMRAQEBtzA6IiIisncOGUBlZ2ejYcOGVtsbNmyI7OzsCvfr27cvli1bhs2bN2P27NnYu3cvHnzwQfPZo+zsbLi5uaFevXoW+/n6+lZa74QJE2AymcyPzMzMao6MiIiIHIFdfYU3ZcoUTJ06tdIye/fuBQAoivV3S0KIcreXioqKMv8/JCQEnTt3RmBgIL777js8/vjjFe5XVb0GgwEGg/yb7hIREZF9sKsAasyYMRg+fHilZZo2bYqDBw/i3LlzVq/9/vvv8PX1tbk9f39/BAYG4vjx4wAAPz8/FBQUICcnx+Is1Pnz5xEREWFzvUREROTc7CqA8vHxgY+PT5XlwsPDYTKZ8NNPP6FLly4AgD179sBkMqkKdC5evIjMzEz4+/sDADp16gRXV1ckJiZi2LBhAICsrCwcOnQI77//vurxKOL6QxYtFpWVvuirBrRYbVkp1ODbcFf5Cd6uBvkrkecXyf3Y6frOXqn1A0B3r6PS2zia5y+9jW/HPyi9DekrzxdqsRK5Fsn28j9DnCJRXfLnudDZflcJh8yBCg4ORp8+fRATE4Pdu3dj9+7diImJQf/+/S2uwGvdujXWrl0LALhy5QreeOMNJCUl4dSpU9i6dSseffRR+Pj4YNCgQQAAo9GIUaNG4fXXX8cPP/yAlJQUPP300wgNDTVflUdERERkV2eg1Fi2bBleffVV8xVzAwYMwEcffWRR5ujRozCZTAAAvV6Pn3/+GUuWLMGlS5fg7++Pnj17YuXKlfDy8jLvM2fOHLi4uGDYsGG4du0aHnroISxevBh6vfx7nREREZFjcNgAqn79+li6dGmlZW6+caKHhwf+97//VVmvu7s75s+fj/nz599yH4mIiMg5OeRXeERERES1yWHPQDkCpeT6Q2b9sgkN2pCd5C20WA5e8uq7AKBzkZ9EXv+Oq9LbWBW8XGr9z/w6RGr9ALD2yD3S2yi+5Ca9DeVhDW41IPnv9B8G/Utq/QDw7Eux0tvQ58n/+VY0SLjXFclOIpd854oi298HnoEiIiIiUokBFBEREZFKDKCIiIiIVGIARURERKQSk8hlKvnrIYkWSeRarESuxTik0yAXV+8qf6Ja17O+RVJNm3hW7qK0x7KsbzRe04r/kJ/g7fKn/L9v9XnyD1xdodz6+y94U24DAJQ20puAUiL/13F+felNwD9J7t0MZK9sX8QkciIiIiJ5GEARERERqcQAioiIiEglBlBEREREKjGAIiIiIlKJV+FJpAjJV7FpcpsV+W1Iv9OKBlcSCg2uwnN1lXt1CwA8d+cO6W28/sswqfUX/ekqtX4AcMlzjivk9NekNwF9gdz6ZV/lB8gfAwAo8u/kAvc/5H8YXmugl1q/UiK3/uICXoVHREREJA0DKCIiIiKVGEARERERqcQAioiIiEglJpHLJPlWLpqEv1rcysUJksi1uOeNm6v8LNOmrn9Kb+PSnx5S61c0SPDWFWhwCxQNEpe1SI6WPQ4txqAvkP/zrUUyvK5Ii3HIbUMn+WOwqND2X9o8A0VERESkEgMoIiIiIpUcNoDKyclBdHQ0jEYjjEYjoqOjcenSpUr3URSl3MesWbPMZR544AGr14cPHy55NERERORIHDYH6sknn8Tp06exceNGAMALL7yA6OhofPPNNxXuk5WVZfF8w4YNGDVqFAYPHmyxPSYmBtOmTTM/9/CQm7NBREREjsUhA6gjR45g48aN2L17N8LCwgAAn376KcLDw3H06FEEBQWVu5+fn5/F83Xr1qFnz564++67LbZ7enpala0OpUTySt5cify24u4ifyXyTy6GS2+jME/ux46uUIMkci0SfjVJKpbfhl7yOGQnLV9vQ3oT0OdrMA4tksgltyH7/RZFTp5EnpSUBKPRaA6eAKBr164wGo3YtWuXTXWcO3cO3333HUaNGmX12rJly+Dj44O2bdvijTfewOXLlyutKz8/H7m5uRYPIiIicl4OeQYqOzsbDRs2tNresGFDZGdn21TH559/Di8vLzz++OMW25966ik0a9YMfn5+OHToECZMmIADBw4gMTGxwrpmzJiBqVOnqhsEEREROSy7OgM1ZcqUChO9Sx/79u0DcD0hvCwhRLnbyxMfH4+nnnoK7u7uFttjYmLQq1cvhISEYPjw4fj666+xadMm7N+/v8K6JkyYAJPJZH5kZmaqGDURERE5Grs6AzVmzJgqr3hr2rQpDh48iHPnzlm99vvvv8PX17fKdnbs2IGjR49i5cqVVZbt2LEjXF1dcfz4cXTs2LHcMgaDAQaDocq6iIiIyDnYVQDl4+MDHx+fKsuFh4fDZDLhp59+QpcuXQAAe/bsgclkQkRERJX7x8XFoVOnTrjnnnuqLJuWlobCwkL4+/tXPYAyZCeRCydJ8JadqK7BIuGA/IWp4e4iP5P12JWq/wC5VUJykrcWidGK/EXhnSdRXfbK1FokwmuxErkGCd56DRLuFRUreVeHrlj28eTkSeTBwcHo06cPYmJisHv3buzevRsxMTHo37+/xRV4rVu3xtq1ay32zc3NxapVq/D8889b1XvixAlMmzYN+/btw6lTp5CQkIChQ4eiQ4cO6Natm/RxERERkWNwyAAKuH6lXGhoKCIjIxEZGYl27drhiy++sChz9OhRmEwmi20rVqyAEAJPPPGEVZ1ubm744Ycf0Lt3bwQFBeHVV19FZGQkNm3aBL1eL3U8RERE5DgUIQRX4alhubm5MBqNCH7lPegN7lXvUE0lGnwBW+Lm+G0U1ZF/iBfVlf89QrPA89LbuNND/s2E9x5rKrV+/UVXqfUDgOtl+d/Zula+ekqNcMmT34bs9Y20+BrSJc/xb8IL8Cs8WxQV5WHH1qkwmUzw9vauvC9Se0JERETkhOwqidzpCEhNwtZilXBNViKXzUnOsRo0WIn8Qp6n9DYgOYlcKZJ/dkiTRHUtfr41SIaX3YYWydeK5LMegEbj0GIlcslzJfsMl+LsSeREREREtYkBFBEREZFKDKCIiIiIVGIARURERKQSAygiIiIilXgVnkSKkHwbES2uLnOGNpzkKjxPDW7lknNNg6vwJF8lp3OCK8ucqQ3Z74cWV0Rqckw5ydWEssch+2pFNfXzDBQRERGRSgygiIiIiFRiAEVERESkEgMoIiIiIpWYRC6RUiL3dgxC/h0rnOJ2MVIT+Utp0Ia7Xn4SeX6RXnobSrHkA1eL2w9p0IYWicuyb7sByE9c1uaWN45/CxQA0Km4TUl1KcWSb7ViR/XzDBQRERGRSgygiIiIiFRiAEVERESkEgMoIiIiIpWYRC6bxLxADXLInWQlck1mSjo3DbKKCzVIIpf9fmtx0YAmK1M7wQUcWrShlDh+IjzgROOQ3Ybs+lW8DzwDRURERKQSAygiIiIilRhAEREREanksAHU9OnTERERAU9PT9StW9emfYQQmDJlCho1agQPDw888MADSEtLsyiTn5+Pv/3tb/Dx8UGdOnUwYMAAnD59WsIIiIiIyFE5bBJ5QUEBhg4divDwcMTFxdm0z/vvv48PPvgAixcvRqtWrfDuu+/i4YcfxtGjR+Hl5QUAGDduHL755husWLECDRo0wOuvv47+/fsjOTkZer26BFvZK5FrsRqyJkmm0pPIJdcPaJKo7qpB5nJRseOvRK7FMessq51rs4q35PqdZCVyp2lDcjK8UiJ5JXIV/XfYAGrq1KkAgMWLF9tUXgiBuXPnYuLEiXj88ccBAJ9//jl8fX3x5Zdf4sUXX4TJZEJcXBy++OIL9OrVCwCwdOlSBAQEYNOmTejdu7eUsRAREZFjcdiv8NRKT09HdnY2IiMjzdsMBgPuv/9+7Nq1CwCQnJyMwsJCizKNGjVCSEiIuUx58vPzkZuba/EgIiIi53XbBFDZ2dkAAF9fX4vtvr6+5teys7Ph5uaGevXqVVimPDNmzIDRaDQ/AgICarj3REREZE/s6iu8KVOmmL+aq8jevXvRuXPnarehKJb5F0IIq21lVVVmwoQJiI2NNT83mUy46667UFyQV+1+2kJosJif5BtfX29DchhfosHakCXXiqS3UXClQHobxVflHrMAUJIn9w0pzpOfj6bLl94EdPLfbugK5OfEiEK5bciuHwBEkfwPW1Ek/8NWp0EbiuRfGrLrLyq+/sMtRNXHlV0FUGPGjMHw4cMrLdO0adNq1e3n5wfg+lkmf39/8/bz58+bz0r5+fmhoKAAOTk5Fmehzp8/j4iIiArrNhgMMBgM5uelX+Ed+XxatfpKVJ4varsDRES3icuXL8NoNFZaxq4CKB8fH/j4+Eipu1mzZvDz80NiYiI6dOgA4PqVfNu2bcPMmTMBAJ06dYKrqysSExMxbNgwAEBWVhYOHTqE999/3+a2GjVqhMzMTHh5eVV5dqtUbm4uAgICkJmZCW9vb5Wjc16cl/JxXirGuSkf56V8nJeK3Y5zI4TA5cuX0ahRoyrL2lUApUZGRgb++OMPZGRkoLi4GKmpqQCAFi1a4I477gAAtG7dGjNmzMCgQYOgKArGjRuH9957Dy1btkTLli3x3nvvwdPTE08++SQAwGg0YtSoUXj99dfRoEED1K9fH2+88QZCQ0PNV+XZQqfToUmTJtUal7e3921zoKrBeSkf56VinJvycV7Kx3mp2O02N1WdeSrlsAHUO++8g88//9z8vPSs0pYtW/DAAw8AAI4ePQqTyWQu8+abb+LatWt4+eWXkZOTg7CwMHz//ffmNaAAYM6cOXBxccGwYcNw7do1PPTQQ1i8eLHqNaCIiIjIeSnClkwpki43NxdGoxEmk+m2ivSrwnkpH+elYpyb8nFeysd5qRjnpnK3zTIG9s5gMGDy5MkWyejEeakI56VinJvycV7Kx3mpGOemcjwDRURERKQSz0ARERERqcQAioiIiEglBlBEREREKjGAIiIiIlKJARQRERGRSgygNLJgwQI0a9YM7u7u6NSpE3bs2FFh2Z07d6Jbt25o0KABPDw80Lp1a8yZM0fD3mpLzdzc7Mcff4SLiwvat28vt4O1RM28bN26FYqiWD1++eUXDXusDbXHS35+PiZOnIjAwEAYDAY0b94c8fHxGvVWW2rmZuTIkeUeM23bttWwx9pQe8wsW7YM99xzDzw9PeHv749nn30WFy9e1Ki32lE7Lx9//DGCg4Ph4eGBoKAgLFmyRKOe2ilB0q1YsUK4urqKTz/9VBw+fFiMHTtW1KlTR/z222/llt+/f7/48ssvxaFDh0R6err44osvhKenp/j3v/+tcc/lUzs3pS5duiTuvvtuERkZKe655x5tOqshtfOyZcsWAUAcPXpUZGVlmR9FRUUa91yu6hwvAwYMEGFhYSIxMVGkp6eLPXv2iB9//FHDXmtD7dxcunTJ4ljJzMwU9evXF5MnT9a245KpnZcdO3YInU4nPvzwQ3Hy5EmxY8cO0bZtWzFw4ECNey6X2nlZsGCB8PLyEitWrBAnTpwQy5cvF3fccYdYv369xj23HwygNNClSxcxevRoi22tW7cW48ePt7mOQYMGiaeffrqmu1brqjs3UVFRYtKkSWLy5MlOGUCpnZfSAConJ0eD3tUetfOyYcMGYTQaxcWLF7XoXq261c+ZtWvXCkVRxKlTp2R0r9aonZdZs2aJu+++22LbvHnzRJMmTaT1sTaonZfw8HDxxhtvWGwbO3as6Natm7Q+2jt+hSdZQUEBkpOTERkZabE9MjISu3btsqmOlJQU7Nq1C/fff7+MLtaa6s7NZ599hhMnTmDy5Mmyu1grbuWY6dChA/z9/fHQQw9hy5YtMrupuerMy/r169G5c2e8//77aNy4MVq1aoU33ngD165d06LLmqmJz5m4uDj06tULgYGBMrpYK6ozLxERETh9+jQSEhIghMC5c+fw9ddf45FHHtGiy5qozrzk5+fD3d3dYpuHhwd++uknFBYWSuurPWMAJdmFCxdQXFwMX19fi+2+vr7Izs6udN8mTZrAYDCgc+fOeOWVV/D888/L7KrmqjM3x48fx/jx47Fs2TK4uDjsvbArVZ158ff3x6JFi7B69WqsWbMGQUFBeOihh7B9+3YtuqyJ6szLyZMnsXPnThw6dAhr167F3Llz8fXXX+OVV17RosuauZXPGQDIysrChg0b+BmD6wHUsmXLEBUVBTc3N/j5+aFu3bqYP3++Fl3WRHXmpXfv3vjPf/6D5ORkCCGwb98+xMfHo7CwEBcuXNCi23bHOX8D2SFFUSyeCyGstpW1Y8cOXLlyBbt378b48ePRokULPPHEEzK7WStsnZvi4mI8+eSTmDp1Klq1aqVV92qNmmMmKCgIQUFB5ufh4eHIzMzEv/71L/To0UNqP7WmZl5KSkqgKAqWLVsGo9EIAPjggw8wZMgQfPzxx/Dw8JDeXy1V53MGABYvXoy6deti4MCBknpWu9TMy+HDh/Hqq6/inXfeQe/evZGVlYW///3vGD16NOLi4rTormbUzMvbb7+N7OxsdO3aFUII+Pr6YuTIkXj//feh1+u16K7d4RkoyXx8fKDX662i+vPnz1tF/2U1a9YMoaGhiImJwWuvvYYpU6ZI7Kn21M7N5cuXsW/fPowZMwYuLi5wcXHBtGnTcODAAbi4uGDz5s1adV2qWzlmbta1a1ccP368prtXa6ozL/7+/mjcuLE5eAKA4OBgCCFw+vRpqf3V0q0cM0IIxMfHIzo6Gm5ubjK7qbnqzMuMGTPQrVs3/P3vf0e7du3Qu3dvLFiwAPHx8cjKytKi29JVZ148PDwQHx+Pq1ev4tSpU8jIyEDTpk3h5eUFHx8fLbptdxhASebm5oZOnTohMTHRYntiYiIiIiJsrkcIgfz8/JruXq1SOzfe3t74+eefkZqaan6MHj0aQUFBSE1NRVhYmFZdl6qmjpmUlBT4+/vXdPdqTXXmpVu3bjh79iyuXLli3nbs2DHodDo0adJEan+1dCvHzLZt2/Drr79i1KhRMrtYK6ozL1evXoVOZ/mrsfQMixBCTkc1divHi6urK5o0aQK9Xo8VK1agf//+VvN126iNzPXbTenlonFxceLw4cNi3Lhxok6dOuarXcaPHy+io6PN5T/66COxfv16cezYMXHs2DERHx8vvL29xcSJE2trCNKonZuynPUqPLXzMmfOHLF27Vpx7NgxcejQITF+/HgBQKxevbq2hiCF2nm5fPmyaNKkiRgyZIhIS0sT27ZtEy1bthTPP/98bQ1Bmur+LD399NMiLCxM6+5qRu28fPbZZ8LFxUUsWLBAnDhxQuzcuVN07txZdOnSpbaGIIXaeTl69Kj44osvxLFjx8SePXtEVFSUqF+/vkhPT6+lEdQ+BlAa+fjjj0VgYKBwc3MTHTt2FNu2bTO/NmLECHH//febn8+bN0+0bdtWeHp6Cm9vb9GhQwexYMECUVxcXAs9l0/N3JTlrAGUEOrmZebMmaJ58+bC3d1d1KtXT9x3333iu+++q4Vey6f2eDly5Ijo1auX8PDwEE2aNBGxsbHi6tWrGvdaG2rn5tKlS8LDw0MsWrRI455qS+28zJs3T7Rp00Z4eHgIf39/8dRTT4nTp09r3Gv51MzL4cOHRfv27YWHh4fw9vYWjz32mPjll19qodf2QxHCSc5JEhEREWnkNv3ikoiIiKj6GEARERERqcQAioiIiEglBlBEREREKjGAIiIiIlKJARQRERGRSgygiIiIiFRiAEVERESkEgMoIiIiIpUYQBERqbBz50506dIF7u7u8PHxwZw5c2q7S0RUCxhAERHZKCEhAYMGDcLLL7+MgwcP4sUXX0RsbCxOnDhR210jIo3xXnhERDbIy8tDy5YtMXPmTDz55JMAgOLiYtSrVw9z587Fc889V8s9JCIt8QwUEZENNm/ejGvXriEqKsq8Ta/Xw8XFBQaDoRZ7RkS1gQEUEZENtmzZgnvuuQd6vd68LT09HTk5OejYsWMt9oyIagMDKCIiG6SkpKCgoMBi2/z589GxY0cEBwfXUq+IqLa41HYHiIgcQWpqKkpKSvD5558jPDwcX331FRYuXIgff/yxtrtGRLWAARQRURUyMjJw8eJFfPfdd3jrrbdw7NgxtGvXDhs3buTXd0S3KV6FR0RUhfXr1+PZZ5/FxYsXa7srRGQnmANFRFSFlJQUhIaG1nY3iMiOMIAiIqpCSkoK2rVrV9vdICI7wq/wiIiIiFTiGSgiIiIilRhAEREREanEAIqIiIhIJQZQRERERCoxgCIiIiJSiQEUERERkUoMoIiIiIhUYgBFREREpBIDKCIiIiKVGEARERERqcQAioiIiEgll9rugLPKy8tDQUFBbXeDiIiIVHBzc4O7u3uV5RhASZCXlwejRz0UIK+2u0JEREQq+Pn5IT09vcogigGUBAUFBShAHu5DP7goBgCAolPw13/KPP/r3zLPFZ2uzOs3PS8t81ddZfctdx8A+OufitpERfXhpudlXhPmusrUrdhaDpavl+mjxfbSbbqyZaqoU1d+G2X3E7AcbulYhVLJPmWmqMrXdZWXN7v5dauyFT2vaHxV7VfB88rKlHnd1rrVbLcqgwr2rWi7zW0L6+1V9NO8D8qw2k9U0SdhvV+ZbUpVdaFsecteKVXUp5j/La9tYdnkzWVv+ldnVZeo9HUdrOs1v1a2bNl9ym6v4N8bP8ZVlIe4aVtJmTos2y59Xa+Uv73041Fv7qtlfTf2u7Fdj7JlSiza1pvr+Ktt87hKn5fpQ9n6UGJZz031mssCFmVv1F12vGXrsq7Tok8VbFduGveN/guL5ze2w6Iuc1/Nc62U2V76vPx/9YoC3V+lb2y78Tz3cgkCO51CQUEBA6ja5AJXuCiuAAClTJBS9nnZTyTFavtNz3VlytgcQFl96pXfRkX1SQmgKn9d0wCq7C+mWgigyq3PxuCkxgOoytpG9eq+pQCqon2hrq0aDaDK9MGuAqgKn1vWd3OwU9G+Nw5T2wIkmwOom16v6QBKB9vLVRRAWddRVQBV9pd/9QOossFHRQGT9XP1AZTeXFb5a1/F4vmNfpc+t3z9Rp2l28sGXCjTV2EOBG0NoPTVDKBuvH6j7xUHUOrSwplETkRERKQSAygiIiIilRhAEREREanEAIqIiIhIJQZQRERERCoxgCIiIiJSiQEUERERkUoMoIiIiIhUYgBFREREpBIDKCIiIiKVGEARERERqcQAioiIiEglBlBEREREKjGAIiIiIlKJARQRERGRSgygiIiIiFRiAEVERESkEgMoIiIiIpUYQBERERGpxACKiIiISCWX2u6AMytCISCux6iKUP7aWvb5X/+Wea4IXZnXb3pe8lcZpUwZpcy/pfGxeTvKvF52vwrqu/m5sHxNlJYRZepWbC0Hy9dLUP5+yk3bdGXLVFGnrsxzqylXLLpmnifdTfVXtE+Fb2MFr5d9W63ek3JeL/8QKed5ReOrar8KnldWpszrttatZrtVGVSwb0XbbW5bWG+vop/mfVCG1X6iij4J6/3KbFOqqgtly1v2SqmiPsX8b3ltC8smby5707/Cqi5R6esClvWWKML8mq5M2dLnOlSwvYJ/b/wYV1Ee4qZtJWXqsGy79HW9Uv72vz4yoDf31bK+G/vd2K5H2TIlFm3rzXX81bZ5XKXPy/ShbH0osaznpnrNZQGLsjfqLjvesnVZ12nRpwq2KzeN+0b/hcXzG9thUZe5r+a5VspsL31e/r96RTGXvbHtRhu5l0t/CVWNAZQEbm5u8PPzw87shBufsMW12iUiIiKygZ+fH9zc3KospwghrP6IoluXl5eHgoICzdvNzc1FQEAAMjMz4e3trXn7jo7zd2s4f7eG83drOH+3hvN3nZubG9zd3assxzNQkri7u9v0Bsji7e19W/8A3CrO363h/N0azt+t4fzdGs6fbZhETkRERKQSAygiIiIilRhAORmDwYDJkyfDYDDUdlccEufv1nD+bg3n79Zw/m4N508dJpETERERqcQzUEREREQqMYAiIiIiUokBFBEREZFKDKCIiIiIVGIARURERKQSAygn0LRpUyiKYvEYP358pfuMHDnSap+uXbtq1GP7Up35E0JgypQpaNSoETw8PPDAAw8gLS1Nox7bp/z8fLRv3x6KoiA1NbXSsjz+rKmZPx5/NwwYMAB33XUX3N3d4e/vj+joaJw9e7bSfXj83VCd+ePxdx0DKCcxbdo0ZGVlmR+TJk2qcp8+ffpY7JOQkKBBT+2T2vl7//338cEHH+Cjjz7C3r174efnh4cffhiXL1/WqMf2580330SjRo1sLs/jz5Ka+ePxd0PPnj3x1Vdf4ejRo1i9ejVOnDiBIUOGVLkfj7/rqjN/PP7+IsjhBQYGijlz5qjaZ8SIEeKxxx6T0h9Ho3b+SkpKhJ+fn/jnP/9p3paXlyeMRqP45JNPJPTQ/iUkJIjWrVuLtLQ0AUCkpKRUWp7HnyU188fjr3Lr1q0TiqKIgoKCCsvw+KtYVfPH4+8GnoFyEjNnzkSDBg3Qvn17TJ8+HQUFBVXus3XrVjRs2BCtWrVCTEwMzp8/r0FP7ZOa+UtPT0d2djYiIyPN2wwGA+6//37s2rVLi+7alXPnziEmJgZffPEFPD09bd6Px991auePx1/F/vjjDyxbtgwRERFwdXWttCyPP2u2zB+PvxsYQDmBsWPHYsWKFdiyZQvGjBmDuXPn4uWXX650n759+2LZsmXYvHkzZs+ejb179+LBBx9Efn6+Rr22H2rnLzs7GwDg6+trsd3X19f82u1CCIGRI0di9OjR6Ny5s8378fi7rjrzx+PP2ltvvYU6deqgQYMGyMjIwLp16yotz+PPkpr54/F3k9o+BUblmzx5sgBQ6WPv3r3l7vv1118LAOLChQs2t3f27Fnh6uoqVq9eXVNDqFUy5+/HH38UAMTZs2cttj///POid+/eNT6W2mDr/H344YciIiJCFBUVCSGESE9Pt+krvLJu1+OvOvPH48/65/f3338XR48eFd9//73o1q2b6NevnygpKbG5vdv1+CulZv5uh+PPVi41GItRDRozZgyGDx9eaZmmTZuWu730apJff/0VDRo0sKk9f39/BAYG4vjx46r6aa9kzp+fnx+A63+J+fv7m7efP3/e6q8yR2Xr/L377rvYvXu31c1HO3fujKeeegqff/65Te3drsdfdeaPx991N//8+vj4wMfHB61atUJwcDACAgKwe/duhIeH29Te7Xr8lVIzf7fD8WcrBlB2qvSAro6UlBQAsDi4q3Lx4kVkZmaq2seeyZy/Zs2awc/PD4mJiejQoQMAoKCgANu2bcPMmTOr12E7Y+v8zZs3D++++675+dmzZ9G7d2+sXLkSYWFhNrd3ux5/1Zk/Hn+VE0IAgKqv427X4688Vc3f7XD82ay2T4HRrdm1a5f44IMPREpKijh58qRYuXKlaNSokRgwYIBFuaCgILFmzRohhBCXL18Wr7/+uti1a5dIT08XW7ZsEeHh4aJx48YiNze3NoZRa6ozf0II8c9//lMYjUaxZs0a8fPPP4snnnhC+Pv733bzV1ZFX0Hx+LONLfMnBI+/Unv27BHz588XKSkp4tSpU2Lz5s3ivvvuE82bNxd5eXnmcjz+yled+ROCx18pBlAOLjk5WYSFhQmj0Sjc3d1FUFCQmDx5svjzzz8tygEQn332mRBCiKtXr4rIyEhx5513CldXV3HXXXeJESNGiIyMjFoYQe2qzvwJcf1S3smTJws/Pz9hMBhEjx49xM8//6xx7+1PRQEAjz/b2DJ/QvD4K3Xw4EHRs2dPUb9+fWEwGETTpk3F6NGjxenTpy3K8fgrX3XmTwgef6UUIf46X0dERERENuEyBkREREQqMYAiIiIiUokBFBEREZFKDKCIiIiIVGIARURERKQSAygiIiIilRhAEREREanEAIqIiIhIJQZQRERERCoxgCK6zb3++ut49NFHa639rVu3WtwZnpwP32NyRgygiG5zqampaN++fW13g4jIoTCAIrrNHThwgAEUEZFKDKCIbmOZmZm4ePGiOYA6dOgQ+vXrB29vb/j5+eH1119HQUGBxT5paWno0aMHPDw80L59e/z4449QFAUHDhyo0b6NGTMG9913X7mvNW3aFNOnT7/lNn799VcoioLvvvsODz30EDw9PREUFIQ9e/bcct03O3fuHBRFwYcffogOHTrA3d0dbdu2xc6dOy3KaTHmmuJIfSWSgQEU0W0sNTUVXl5euPvuu5GSkoKIiAh07NgR+/fvx8qVK7F8+XLMnDnTXD4tLQ1du3ZF9+7dkZKSgnfeeQdDhgyBq6srgoODa6xfhw8fxsKFCy3avllwcDBSU1NvuZ0DBw5AURTMnj0bkyZNwoEDB3DXXXdh/Pjxt1z3zVJSUgAACxYswJw5c3DgwAE0bdoUTz31FEpKSgBoN+aa4Eh9JZKFARTRbSw1NRX33HMPFEVBTEwMoqOj8e6776JFixa4//77ERMTg2+//dZcfsyYMejXrx+mT5+O1q1b4/HHH0d4eDjatGkDNzc3AMCgQYNQr149DBkyxKKtb7/9FkFBQWjZsiX+85//VNqvWbNm4d5770W3bt3Kfb1+/fo4d+6c+fnJkyfxzTffqB7/gQMHYDQasXLlSvTs2RMtW7bEwIED8fvvv6uuq6p2XF1dsXHjRjzwwAMICgrCtGnTkJGRgTNnzgBQP2Y1/vvf/2LcuHHV7b4VmX0lchQMoIhuY6UJ5L/88guSk5Pxt7/9zeJ1Nzc35OfnAwBOnTqFrVu34p133rEoYzAYcM8995ifv/rqq1iyZIlFmaKiIsTGxmLz5s3Yv38/Zs6ciT/++KPcPhUVFWH16tUYPHiweduLL76IuLg48/PLly+jTp065ucbNmzAL7/8omrsxcXFOHDgAB599FHceeed5u0nT55EixYtrMpPmTIFiqJU+ti3b1+5baWmpuLxxx9Hs2bNzNsMBsMtjVmNgwcPol27djUyJtl9JXIUDKCIbmOlAVRaWhpcXV3RqlUri9cPHz6M0NBQANfPori5uaFt27YWZY4cOWKRhN6zZ094eXlZlPnpp5/Qtm1bNG7cGF5eXujXrx/+97//ldunEydO4PLly+Z2S0pKsGrVKtxxxx3mMgcPHjR/Zbht2zZMmjQJn376KTp06IBr167h559/Rnh4OEJCQjB48GBzHlffvn3x5ptvokePHliyZAkOHDiA8PBwi/ZTUlLKTaofM2YMjhw5UukjJCSk0nm+2f79++Hj44PGjRurHvPAgQMRFRWFe++9Fy1btjTnn1U07ooCqOqMSW1fiZyVS213gIhqx+XLl5Geno727dvj4sWLKC4uRmFhofnMSEZGBr7++mv897//BQDo9XoUFRUhLy8P7u7uAK4HLwcOHLA4A1Wes2fPonHjxubnTZo0MX91VdalS5cAwPwL+X//+x9ycnLMXxH+9NNP+O233zBw4EAAwP3334+QkBB8+eWXCAgIQF5eHp544gmsWbMGrVq1wosvvogVK1bgmWeewaFDh9CnTx9s374dJpMJzz33HDp06GDRfmpqKl599VWrfvn4+MDHx6fScZbn2rVrOH78OIqLi83bSkpK8OGHH2LEiBHQ6XSqx3zw4EG89NJLWLlyJT7//HPMnTsXCxcurHDcaWlpVoFvdcektq9EzopnoIhuU6mpqdDr9QgJCUFYWBjq16+P8ePH4+TJk9i8eTP69u2LoUOHom/fvgCATp06wdXVFX//+99x8uRJfPvttxg1ahQAVLkMghDCapuiKOWWDQwMhKIoWL58OVJSUvD666+jX79+WLduHVJSUvDiiy/iwQcfRI8ePcz7nD59GgEBAQCu5/v06dPHfDatdevW+P3332EymaAoCsaOHQvg+hk1vV5vEfz99ttvyMnJqdFlHX7++WcoioKlS5ciKSkJR44cQVRUFC5duoRJkyapHvOVK1eQn5+P2NhYANcTtnNycioc99WrV6HT6eDh4VEj46nO+0PkjBhAEd2mDhw4gNatW8NgMMBoNGLdunXYuXMnQkJCzAnln3/+ubm8v78/4uPjsW7dOrRr1w7x8fF49tln0aJFC9SvX7/Stho3bmxxxun06dPw9/cvt6yfnx+mT5+OpUuXom/fvoiNjcWMGTOwbds23HfffQgKCsKqVass6rr57NaRI0csvj5KS0tDmzZtcOjQIURERFiN/+bAIiUlBXXr1q3RVbNTU1PRunVrTJo0CUOGDEHnzp2h0+mQlJSEunXrqh7zwYMH0bZtW+j1egDXvwoMDQ2tdNzlnX2qLrXvD5HTEkRE1VBcXCx69OghJkyYYPXali1bxODBg83PCwsLRYsWLcTp06dFbm6uaNGihbhw4YK5bGBgYLX7sX37djF06FDz84ULF4o33nhDCCFEcnKyCA0NFUVFReKTTz4R7777brXbqa6XX35ZPPHEEzVW38KFC0WrVq1EQUGBOH/+vGjXrp04depUheP+9NNPxT/+8Y8aa786bvU9JrJHzIEiIpts374dv//+Ozp06IALFy5g1qxZOHXqFNauXWtRrnfv3ti/fz/+/PNPNGnSBGvXrsW9996L2bNno2fPnigpKcGbb76JBg0a1Ei/QkJCcPz4cYSGhmLVqlWIjo7GsGHDEBoainr16uGrr76CXq9HWloaevXqVSNtqpGamlqj9xo8ePAgBg0ahG7duuHatWuYPXs2AgMDKxz3zz//jIceeqjG2iei6xQhyklOICIqY9WqVRg/fjzOnDkDX19f9OrVC++99x58fX1vqd6tW7di5MiROHXqVM101I4IIWA0GrFixQr069evRuq87777sHz5cnPOlyNw5veYbl8MoIioVp06darGF3p0Zs2aNUN6enptd0MVvsfkjBhAEREREanEq/CIiIiIVGIARURERKQSAygiIiIilRhAEREREanEAIqIiIhIJQZQRERERCoxgCIiIiJSiQEUERERkUoMoIiIiIhUYgBFREREpBIDKCIiIiKV/h8lchvCvN4mNQAAAABJRU5ErkJggg==", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a5.simulation_initinputs()\n", "\n", "rho = np.linspace(0.3, 0.97, 20)\n", "xi = np.linspace(-1.0, 1.0, 50)\n", "energy = 1.0e6\n", "a5.input_eval_orbitresonance(rho, xi, energy, \"alpha\", plot=True, n=4, p=7, omega=0.0)\n", "\n", "rho = 0.9\n", "xi = np.linspace(0.67, 1.0, 50)\n", "energy = np.linspace(0.1, 3.5) * 1e6\n", "a5.input_eval_orbitresonance(rho, xi, energy, \"alpha\", plot=True, n=4, p=7, omega=0.0)\n", "\n", "a5.simulation_free()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Evaluating orbit-averaged quantities\n", "\n", "Orbit-averaged quantity is a mean value evaluated along the orbit trajectory:\n", "\n", "$$\n", "x_\\mathrm{avg} \\equiv \\frac{1}{\\tau}\\int_0^\\tau x(r(t), z(t)) dt,\n", "$$\n", "\n", "where $x$ is the quantity to be averaged along the orbit trajectory $(r(t), z(t))$, and $\\tau$ is the poloidal transit time.\n", "\n", "This time we use templates and suitable options to trace a marker for a single poloidal orbit from which the orbit-averaged quantity can be calculated.\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2025-04-01T09:03:54.330984Z", "iopub.status.busy": "2025-04-01T09:03:54.330789Z", "iopub.status.idle": "2025-04-01T09:03:54.338612Z", "shell.execute_reply": "2025-04-01T09:03:54.338116Z" } }, "outputs": [], "source": [ "a5.input_init(bfield=True)\n", "mrk = a5.data.create_input(\"marker resonance\", species=\"alpha\", rhogrid=np.array([0.9]),\n", " xigrid=np.array([0.8]), egrid=np.array([3.5e6])*unyt.eV, dryrun=True)\n", "opt = a5.data.create_input(\"options singleorbit\", ntor=10, npol=1, mode='prt', dryrun=True)\n", "a5.input_free()\n", "\n", "# We modify the options template to collect several data points along the orbit\n", "# Remember to check that NPOINT value is sufficient so that the full orbit is\n", "# captured\n", "opt.update({\n", " \"ORBITWRITE_MODE\":1,\n", " \"ORBITWRITE_NPOINT\":1000,\n", " \"ORBITWRITE_INTERVAL\":1e-7,\n", "})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Run the simulation and visualize the orbit." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2025-04-01T09:03:54.340919Z", "iopub.status.busy": "2025-04-01T09:03:54.340715Z", "iopub.status.idle": "2025-04-01T09:03:54.453567Z", "shell.execute_reply": "2025-04-01T09:03:54.453031Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a5.simulation_initinputs()\n", "a5.simulation_initoptions(**opt)\n", "a5.simulation_initmarkers(**mrk)\n", "vrun = a5.simulation_run(printsummary=False)\n", "\n", "vrun.plotorbit_trajectory('r', 'z')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use these results to calculate the orbit averages." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2025-04-01T09:03:54.455263Z", "iopub.status.busy": "2025-04-01T09:03:54.455093Z", "iopub.status.idle": "2025-04-01T09:03:54.617270Z", "shell.execute_reply": "2025-04-01T09:03:54.616672Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(104,)" ] }, { "name": "stdout", "output_type": "stream", "text": [ " " ] }, { "name": "stdout", "output_type": "stream", "text": [ "(104,)" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bphi, mu = vrun.getorbit('bphi', 'mu')\n", "t, r, z, bphi, avg = vrun.getorbit_average(bphi, ids=1)\n", "t, r, z, mu, avg = vrun.getorbit_average(mu, ids=1)\n", "\n", "fig = plt.figure()\n", "ax1 = fig.add_subplot(2,1,1)\n", "ax2 = fig.add_subplot(2,1,2)\n", "\n", "print(r.shape,bphi.shape)\n", "ax1.scatter(r, z, c=bphi, cmap='viridis')\n", "\n", "ax2.plot(t, mu)\n", "ax2.plot(t[[0,-1]], [avg, avg])\n", "\n", "plt.show()\n", "\n", "a5.simulation_free()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] } ], "metadata": { "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 2 }