{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "P9-FPzw4D3-B" }, "source": [ "# Bound states in a continuum and Q-factors\n", "In this example we apply `legume` to calculate bound states in a continuum in a PhC slab. This example is related to Sec. 4.1 of the CPC paper.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 2437, "status": "ok", "timestamp": 1708439695279, "user": { "displayName": "SIMONE ZANOTTI", "userId": "14051006727806237496" }, "user_tz": -60 }, "id": "21sd2KrpVpKj", "outputId": "c3422905-5a85-4752-8267-3b526768caff" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Version of the imported legume : 1.0.0\n" ] } ], "source": [ "import legume\n", "print(f\"Version of the imported legume : {legume.__version__}\")\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import copy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define the PhC " ] }, { "cell_type": "markdown", "metadata": { "id": "EyFLX0IoEvMX" }, "source": [ "The PhC slab consists of a square lattice of period $a=400$ nm, hole radius $r=100$ nm, etched in a suspended slab of thickness $d=80$ nm with refractive index $n=3.45$. It is the same parameters of Fig. 8 of the CPC paper, but we use dimensionless units here." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 3, "status": "ok", "timestamp": 1708439696112, "user": { "displayName": "SIMONE ZANOTTI", "userId": "14051006727806237496" }, "user_tz": -60 }, "id": "Gztnn_Iy1LaP", "outputId": "40d2f0fb-e66e-4f28-f819-37acecb6c713" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reciprocal lattice vectors in the expansion: npw = 69\n" ] } ], "source": [ "D = 0.2 # slab thickness in units of a\n", "r = 0.25 # hole radius in units of a\n", "eps_c = 1 # permittivity of circular holes\n", "eps_b = 3.45**2 # background permittivity of slab\n", "eps_lower, eps_upper = 1, 1 # permittivities of lower and upper claddings\n", "\n", "lattice = legume.Lattice('square')\n", "phc = legume.PhotCryst(lattice, eps_l=eps_lower, eps_u=eps_upper)\n", "phc.add_layer(d=D, eps_b=eps_b)\n", "phc.layers[-1].add_shape(legume.Circle(eps=eps_c, r=r, x_cent=0., y_cent=0))\n", "\n", "gme = legume.GuidedModeExp(phc, gmax=4.5, truncate_g='abs')\n", "npw = np.shape(gme.gvec)[1] # number of plane waves in the expansion\n", "print('Number of reciprocal lattice vectors in the expansion: npw = ', npw)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 16883, "status": "ok", "timestamp": 1708439787546, "user": { "displayName": "SIMONE ZANOTTI", "userId": "14051006727806237496" }, "user_tz": -60 }, "id": "dV8zwnKmtmO-", "outputId": "68da5ca7-d048-4077-f576-04b8500e6835" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running gme k-points: │██████████████████████████████│ 41 of 41\r" ] }, { "data": { "text/html": [ "
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n",
       "┃ Steps in GuidedModeExp: 69 plane waves and 4 guided modes  Time (s)                  % vs total T ┃\n",
       "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n",
       "│ Guided modes computation with gmode_compute='exact'        1.641     │████████████--------│   63% │\n",
       "│ Inverse matrix of Fourier-space permittivity               0.002     │--------------------│    0% │\n",
       "│ Matrix diagionalization using the 'eigh' solver            0.181     │█-------------------│    7% │\n",
       "│ Creating GME matrix                                        0.756     │█████---------------│   29% │\n",
       "├───────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n",
       "│ Total time for real part of frequencies for 41 k-points    2.601     │████████████████████│  100% │\n",
       "└───────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n",
       "
\n" ], "text/plain": [ "┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n", "┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 69 plane waves and 4 guided modes\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1m % vs total T\u001b[0m\u001b[1m \u001b[0m┃\n", "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n", "│\u001b[36m \u001b[0m\u001b[36mGuided modes computation with gmode_compute='\u001b[0m\u001b[1;36mexact\u001b[0m\u001b[36m'\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m1.641 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│████████████--------│ 63%\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mInverse matrix of Fourier-space permittivity\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.002 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│--------------------│ 0%\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mMatrix diagionalization using the '\u001b[0m\u001b[1;36meigh\u001b[0m\u001b[36m' solver\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.181 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█-------------------│ 7%\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mCreating GME matrix\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.756 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█████---------------│ 29%\u001b[0m\u001b[32m \u001b[0m│\n", "├───────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n", "│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for real part of frequencies for 41 k-points\u001b[0m\u001b[1;36m \u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m2.601\u001b[0m\u001b[1;35m \u001b[0m\u001b[1;35m \u001b[0m│\u001b[1;32m \u001b[0m\u001b[1;32m│████████████████████│ 100%\u001b[0m\u001b[1;32m \u001b[0m│\n", "└───────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Running GME losses k-point: │██████████████████████████████│ 41 of 41\r" ] }, { "data": { "text/html": [ "
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n",
       "┃ Steps in GuidedModeExp: 69 plane waves and 4 guided modes        Time (s) ┃\n",
       "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n",
       "│ Total time for imaginary part of frequencies for 820 eigenmodes  3.580    │\n",
       "└─────────────────────────────────────────────────────────────────┴──────────┘\n",
       "
\n" ], "text/plain": [ "┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n", "┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 69 plane waves and 4 guided modes\u001b[0m\u001b[1m \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\n", "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n", "│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for imaginary part of frequencies for 820 eigenmodes\u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m3.580\u001b[0m\u001b[1;35m \u001b[0m\u001b[1;35m \u001b[0m│\n", "└─────────────────────────────────────────────────────────────────┴──────────┘\n" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Number of wavevectros = 41, number of frequencies = 20\n" ] } ], "source": [ "# Run the guided-mode expansion\n", "numeig, verbose = 20, True\n", "nk = 20\n", "path = lattice.bz_path(['X', 'G', 'M'], [nk])\n", "\n", "gme.run(kpoints=path['kpoints'], gmode_inds=[0, 1, 2, 3], numeig=numeig, verbose=True)\n", "freqs = gme.freqs\n", "\n", "nkappa, nfreq = freqs.shape[0], freqs.shape[1]\n", "print(f'Number of wavevectros = {nkappa}, number of frequencies = {nfreq}')" ] }, { "cell_type": "markdown", "metadata": { "id": "Q500tb7F8cez" }, "source": [ "Plot the photonic bands and Q-factors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the **legume** 1.0.0 version, `viz.bands` plots the frequencies as a function of wavevector along the path in the Brillouin zone by means of the kw argument `k_units=True`, which requires setting the xticks with `path['k_indexes']`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 547 }, "executionInfo": { "elapsed": 1571, "status": "ok", "timestamp": 1708439789114, "user": { "displayName": "SIMONE ZANOTTI", "userId": "14051006727806237496" }, "user_tz": -60 }, "id": "TSAo6R_WB3nI", "outputId": "2045ba9f-aee9-4248-e3ea-7ffea5386f29" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_bands(gme):\n", " fig, ax = plt.subplots(1, figsize = (6, 6))\n", " legume.viz.bands(gme, Q=True, ax=ax, cone=True, k_units=True, conecolor='lightgrey',\n", " markersize=5, markeredgecolor='black', markeredgewidth=0.5)\n", " ax.set_xticks(path['k_indexes'])\n", " ax.set_xticklabels(path['labels'])\n", " ax.xaxis.grid('True')\n", " ax.set_ylim([0., 0.7])\n", "\n", "plot_bands(gme)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Study of a symmetry-proteceted BIC" ] }, { "cell_type": "markdown", "metadata": { "id": "Pz7YORPW184D" }, "source": [ "We see that there are several states at ${\\bf k}=0$ with $Q\\rightarrow\\infty$, which are symmetry-protected BICs. In the square lattice, all nondegenerate states at the $\\Gamma$ point are symmetry-protected BICs, and vice-versa (while the hexagonal lattice supports twofold degenerate BICs: see example 08).\n", "\n", "Here we focus on the lowest BIC with a dimensionless frequency around 0.45, which is called BIC1 in Fig. 8(a) of the CPC paper. Let's plot the Q-factor close to ${\\bf k}=0$: for this, however, we need a denser set of ${\\bf k}$-points and we focus on a region closer to the $\\Gamma$ point. We define the points $X_1=[0.1\\pi,0]$ and $M_1=[0.1\\pi,0.1\\pi]$ and we calculate for wavevectors in the path $X_1\\to\\Gamma\\to M_1$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 41728, "status": "ok", "timestamp": 1708440077294, "user": { "displayName": "SIMONE ZANOTTI", "userId": "14051006727806237496" }, "user_tz": -60 }, "id": "9cPmscth3Jqi", "outputId": "fa1ffb62-658a-419f-d39e-93a48cdad976" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running gme k-points: │██████████████████████████████│ 101 of 101\r" ] }, { "data": { "text/html": [ "
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n",
       "┃ Steps in GuidedModeExp: 69 plane waves and 4 guided modes  Time (s)                  % vs total T ┃\n",
       "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n",
       "│ Guided modes computation with gmode_compute='exact'        4.670     │█████████████-------│   66% │\n",
       "│ Inverse matrix of Fourier-space permittivity               0.001     │--------------------│    0% │\n",
       "│ Matrix diagionalization using the 'eigh' solver            0.442     │█-------------------│    6% │\n",
       "│ Creating GME matrix                                        1.925     │█████---------------│   27% │\n",
       "├───────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n",
       "│ Total time for real part of frequencies for 101 k-points   7.085     │████████████████████│  100% │\n",
       "└───────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n",
       "
\n" ], "text/plain": [ "┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n", "┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 69 plane waves and 4 guided modes\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1m % vs total T\u001b[0m\u001b[1m \u001b[0m┃\n", "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n", "│\u001b[36m \u001b[0m\u001b[36mGuided modes computation with gmode_compute='\u001b[0m\u001b[1;36mexact\u001b[0m\u001b[36m'\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m4.670 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█████████████-------│ 66%\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mInverse matrix of Fourier-space permittivity\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.001 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│--------------------│ 0%\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mMatrix diagionalization using the '\u001b[0m\u001b[1;36meigh\u001b[0m\u001b[36m' solver\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.442 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█-------------------│ 6%\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mCreating GME matrix\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m1.925 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█████---------------│ 27%\u001b[0m\u001b[32m \u001b[0m│\n", "├───────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n", "│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for real part of frequencies for 101 k-points\u001b[0m\u001b[1;36m \u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m7.085\u001b[0m\u001b[1;35m \u001b[0m\u001b[1;35m \u001b[0m│\u001b[1;32m \u001b[0m\u001b[1;32m│████████████████████│ 100%\u001b[0m\u001b[1;32m \u001b[0m│\n", "└───────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Running GME losses k-point: │██████████████████████████████│ 101 of 101\r" ] }, { "data": { "text/html": [ "
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n",
       "┃ Steps in GuidedModeExp: 69 plane waves and 4 guided modes         Time (s) ┃\n",
       "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n",
       "│ Total time for imaginary part of frequencies for 2020 eigenmodes  8.673    │\n",
       "└──────────────────────────────────────────────────────────────────┴──────────┘\n",
       "
\n" ], "text/plain": [ "┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n", "┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 69 plane waves and 4 guided modes\u001b[0m\u001b[1m \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\n", "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n", "│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for imaginary part of frequencies for 2020 eigenmodes\u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m8.673\u001b[0m\u001b[1;35m \u001b[0m\u001b[1;35m \u001b[0m│\n", "└──────────────────────────────────────────────────────────────────┴──────────┘\n" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Number of wavevectors = 101, number of frequencies = 20\n" ] } ], "source": [ "# Run the guided-mode expansion\n", "numeig, verbose = 20, True\n", "nk = 50\n", "\n", "X1 = [0.1*np.pi, 0]\n", "M1 = [0.1*np.pi, 0.1*np.pi]\n", "path = lattice.bz_path([X1, 'G', M1], [nk])\n", "\n", "gme = legume.GuidedModeExp(phc, gmax=4.5, truncate_g='abs')\n", "gme.run(kpoints=path['kpoints'], gmode_inds=[0, 1, 2, 3], numeig=numeig, verbose=True)\n", "freqs = gme.freqs\n", "freqs_im = gme.freqs_im\n", "nkappa, nfreq = freqs.shape[0], freqs.shape[1]\n", "print(f'Number of wavevectors = {nkappa}, number of frequencies = {nfreq}')" ] }, { "cell_type": "markdown", "metadata": { "id": "kjAWxieD3tgT" }, "source": [ "We now want to plot the Q-factor versus the wavevector for the chosen mode, which has index jmode=2.\n", "\n", "But there is an annoying issue we should fix: unfortunately the photonic bands are discontinuous at ${\\bf k}=0$, as the code calculates one less frequency there." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 447 }, "executionInfo": { "elapsed": 805, "status": "ok", "timestamp": 1708440094000, "user": { "displayName": "SIMONE ZANOTTI", "userId": "14051006727806237496" }, "user_tz": -60 }, "id": "CNuEMo-xC-uc", "outputId": "7219fd47-66f8-4ac8-b10a-932f77346499" }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "jmode = 2\n", "plt.plot(range(nkappa), freqs[:,jmode])" ] }, { "cell_type": "markdown", "metadata": { "id": "rrSS4CfuErPi" }, "source": [ "Thus, we first make the frequencies and imaginary parts to be continuous, then we calculate and plot the Q-factor of the chosen mode. Compare with Fig. 9 of the CPC paper." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 445 }, "executionInfo": { "elapsed": 1352, "status": "ok", "timestamp": 1708440164356, "user": { "displayName": "SIMONE ZANOTTI", "userId": "14051006727806237496" }, "user_tz": -60 }, "id": "MD42iu7FHcBS", "outputId": "147608d1-d488-4dfb-8657-2611a0ac3d9b" }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Q factor')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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yN1E7TuUgv7wOLjILLJ44gOtwesWj4R6QmomQXlyFpNwKrsMhxGhpuvup1184KPmboIqaRsT9cQMA8OqDAbAyF0YJ366ytTTDzFA3AMCes3kcR0MIIfxByd8ExR29gaqGZgS6yjB7qDvX4fSqJ0d6AQAOXSqEgib+EaJf1LsvWJT8TczNilrsPJ0LAFgRFQCRyLg76sI87eDn0gcNzSr898ItrsMhxCi1+hShLwW8R8nfxHz0WwYalSqM9XXAhEGOXIfT6xiGwd+GewIAvjmXz3E0hBg3htb6CQYlfxOSdbsa35+/CQB49UF/k7lRHxnqDomIwYWbcqQXVXEdDiFGgxr4wkXJ34Rs/C0DKha4P9AZQ736ch2OwTj0scB9Ac4AgB9SbnIcDdG39PR0hIWFaR+WlpY4cOAA12GZlLsbEvSlgP8o+ZuIjOIq/Peiesz7pQf8OI7G8GYPU09s/CnlFpQq+mgyJv7+/khNTUVqaipOnjwJa2trPPDAA1yHZZJMoy/ROFDyNxEf/3EDLAtMHdwPg91suQ7H4CYHOMPW0gxFinqcySrjOhzSSw4ePIgpU6bA2tqa61BMAtXOEi5K/ibgRkkVfm5p9S+bMpDjaLhhIRFj+hBXAMAP56ncL58kJCRgxowZcHNzA8MwbXbZb968GT4+PpBKpQgPD8eJEyfaPNc333yDOXPm9HLE5G53t/jpSwH/UfI3AXFHM8GywANBLibZ6td4pKWmweErRahvUnIcDdGoqalBaGgoNm3a1Obz+/fvx/Lly7Fy5UqkpKQgIiICUVFRyMvTLdykUCiQmJiIadOmGSJs0gYTmUNsFCj5G7n88locbFnf/uJ9gziOhlvhXn3hbmeJ6oZmHEsv4Toc0iIqKgpr1qzB7Nmz23x+w4YNWLRoEZ577jkEBgZi48aN8PT0xJYtW3Re99NPP+HBBx+EVCrt8HoNDQ1QKBQ6D9I9VMNfuCj5G7nPEjKhVLGIGOSIEA/TbfUDgEjEaLv+/3uxkONoSGc0NjYiOTkZkZGROscjIyNx6tQpnWOd7fJft24dbG1ttQ9PT0+9xmyK7m7x05cC/qPkb8RKqurxTZJ6aVv0ZNMc67/bjCHqWv+/Xy1GTUMzx9GQeyktLYVSqYSLi4vOcRcXFxQVFWn/LZfL8eeff+LBBx+85zljY2Mhl8u1j/x8Kv6kLwzN9xcMSv5GbEdiDhqbVRjmZYdRPvZch8MLwe4y9HewQn2TCr9dLeY6HNJJrdaRs6zOMVtbWxQXF8Pc3Pye57KwsIBMJsPXX3+N0aNHY8qUKXqPlxC+o+RvpGoamrHrjLqG/+KJviZTze9eGIbBQy2t/0OXqOuf7xwdHSEWi3Va+QBQUlLSqjegq6Kjo5GWloZz58716DymrL1Z/TTbn/8o+Rup/efyoahvho+jNe4P7NmHpLGJCukHADiWfpu6/nnO3Nwc4eHhiI+P1zkeHx+PsWPHchQVuZu2u5/aGIJhnBu5m7hmpQpfnswGADwX4QOxke/c11VBrjJ42Vshr7wWx9JvaycBEm5UV1fjxo0b2n9nZ2cjNTUV9vb28PLyQkxMDObNm4fhw4djzJgx2Lp1K/Ly8rBkyZIeXTcuLg5xcXFQKmnZJzE91PI3QvFpxSiorIO9tTkeHebBdTi8wzAMooLVrf9fLlPXP9eSkpIwdOhQDB06FAAQExODoUOH4q233gIAzJkzBxs3bsTq1asRFhaGhIQEHDp0CN7e3j26LnX79xz17gsXtfyN0LZEdav/qVFekJqJOY6Gn6JCXPFZQhb+uFaC+iYl/Z44NGnSJLD3GCReunQpli5daqCISJe1WupH+I5a/kbm4s1KnMupgJmYwdOje9YyMmahHrZwtZWitlGJxBulXIdDiFGgAUbh4EXy72zd7rslJiZCIpEgLCxM5/iOHTvAMEyrR319vfY1naknLkQ7EnMAANNDXOEi67jSmSljGAYPBKknQh65Qkv+TFFcXByCgoIwYsQIrkMRrHv12BD+4jz5d7Zu993kcjmeeeaZdtfoymQyFBYW6jzuLPt5r3riQlRa3YCfWyrXPTvOh+No+C8ySD3u//u1Ytrm1wTRmL/+tN7Yh+4nvuN8zP/Out0AsHHjRhw+fBhbtmzBunXr2n3f4sWLMXfuXIjF4jZb7QzDoF+/fu2+PyoqClFRUT2On0/2n8tHo1KFUE87hHnacR0O740aYA8bqQSl1Y1Iza9AuDcVQiKkJ6iciHBw2vLvSt3uO23fvh2ZmZl4++23231NdXU1vL294eHhgYceeggpKSk9jpfPG4I0K1Xaoj7zx9BYf2eYiUW4L8AZAHX9myLq9u85auALF6fJv7N1u++UkZGBFStWYPfu3ZBI2u64CAgIwI4dO3Dw4EHs3bsXUqkU48aNQ0ZGRo/i5fOGIL9dLUGhvB721uaYFkLr1jtLM+4fT6V+TQ51++tPq4196EsB73E+5g/cu263hlKpxNy5c7Fq1Sr4+fm1e77Ro0fj6aefRmhoKCIiIvDNN9/Az88Pn3zySY/i5POGILvPqlv9fxvuScvWumCCnxMkIgZZt2uQU1rDdTiECBpt7CMcnI75d7Vud1VVFZKSkpCSkoIXXngBAKBSqcCyLCQSCY4cOYL77ruv1ftEIhFGjBjR45a/hYUFLCwsenSO3pBTWoMTGaVgGGDuSC+uwxEUmdQMI33scSqzDH9cK8HC8TRRkhBi/Dht+Xe1brdMJsOlS5eQmpqqfSxZsgT+/v5ITU3FqFGj2rwOy7JITU2Fq6txdofv/VO9MmLCICd4OVhxHI3waMb9/7hWwnEkhAgTtfiFh/PZ/veq2x0bG4uCggLs3LkTIpEIwcHBOu93dnaGVCrVOb5q1SqMHj0agwYNgkKhwMcff4zU1FTExcVpX3OveuJC0dCsxLfJNwGoK/qRrrsvwBlr/ncVZ7PLUN3QjD4WnN8WxACotr/+0Wx/4eD8U27OnDkoKyvD6tWrUVhYiODgYJ263YWFhfdc83+3yspKPP/88ygqKoKtrS2GDh2KhIQEjBw5UvuapKQkTJ48WfvvmJgYAMD8+fOxY8eOnv9gBhKfVozymka4yCy0LVjSNQOc+sDH0RrZpTU4mXEbU4ONs4eI6IqOjkZ0dDQUCgVsbW25DkeQaGKfcHGe/IGO63bfKxG/8847eOedd3SOffjhh/jwww87fF9n6okLwb4/1ZMOHw/3hETMi/mbgjTJ3wnZpTU4lk7Jn5Cuotn+wkPZQsDyympxsqUu/ZwR/Fl2KEST/NW9JsfSbxvFl0JCuEC9/sJByV/Avk1Wt/ojBjnC054m+vXEKB97SM1EKFLU43pxNdfhEEJIr6LkL1BKFYvvWyb6Uau/56RmYowe4AAAOJZOs/5NAVX46zmWNu8VLEr+ApV4oxS35PWwtTTD/YGtayKQrpvk5wRA3fVPjB9V+NOfVhv70JcC3qPkL1Ca5X0Ph7lRRT89mdgy7p+UW46ahmaOoyFEeNqqzEr4iZK/AMlrm3D4iroq4uPDqctfX/o7WMHT3hJNShZns8u4DocQ3qO5scJFyV+Afr50C43NKgT0s8FgNxnX4RgNhmEQMUjd9Z9wvZTjaAgRjtb7s3AUCOk0Sv4C9MP5AgDAo8M8qJtNzyYMcgQA7RJKQkjn0aeRcFDyF5js0hok51ZAxACzwty4DsfojPF1hIgBbpRU41ZlHdfhEMJr1MAXLkr+AvPjefVEvwl+TnCWSTmOxvjYWpoh1NMOAHAyg1r/hHRG69n+hO8o+QsIy7L4IUXd5T97mAfH0Rgvzbj/Cer6N2q0zr8XUL+/YFDyF5Dk3ArcrKiDtbkYD9Da/l4zzldd7Od0ZimV+jVitM6/5+j+EC5K/gLyY0urf2qwKyzNaW1/bxnq1ReWZmKUVjcivbiK63AI4b9WG/vQlwK+o+QvEI3NKvzvUiEA4JGh7hxHY9zMJSKM9LEHACTeoPX+hHQW9foLByV/gTh+/TYqa5vgbGOBMS3d0qT3jBuo/h0n0rg/Ie2i9r1wUfIXiIMXbgEAHhriBrGIvl/3trG+6vX+Z7PK0KRUcRwNIfxGs/2Fh5K/ANQ2NuO3tGIAwExa228QQa4y9LUyQ02jEhdvVnIdDiGCQEXHhIOSvwDEpxWjrkkJbwcrhHrYch2OSRCJGO0Wv2eyyjmOhhB+onl9wkXJXwD+29LlP2OIG32zNiBN8j+dSZP+CGmLZkjMXEKrj4SGkj/PyeuacPy6en956vI3LM3EyqTccjQ0KzmOhhD+0Wx9bW2hm/ypR4D/KPnz3JErRWhSsvBz6QM/FxuuwzEpg5z7wMHaHPVNKly8Kec6HKJnVOGv52oa1V+KrcwlAADqmBQOSv48p1nb/9AQavUbGsMw1PVvxKjCX8/Valr+VHRMcCj581hFTaN2c5npQ1w5jsY0jfal5E9Ie7QtfwvJXc9Qvz/fUfLnsSNpRWhWsQh0lcHXqQ/X4ZikMQPUlf7O51XQuD8hd6lt1G35U6+/cFDy57H/XSoCAEwP6cdxJKbL10k97t/QrMIlGvcnREdNg/oLsXWrlj/hO0r+PFVZ24hTLaVlp4VQlz9XGIbR1vk/m03r/Qm5U007Y/4025//KPnzVHxaMZpVLAL62WAAdflzipI/IW2raen214z5Ux0S4aDkz1O/XFZ3+UcFU6ufa6N81JP+knPK0Ux1/gnRqtV0+9Nsf8Gh5M9DivomnMhQF/aZRuP9nPPvZwOZVIKaRiWu3FJwHQ4hvKFt+ZvrjvlTrz//UfLnoaPXStCkZOHrZI1BVNiHc2LRneP+tOSPEI3aRs2EP5rtLzSU/Hno15Yu/6nB1OrnixH91cn/XE4Fx5EQwh9/lfel2f5CQ8mfZ+oalTiWru7ynzqYxvv5YkRLyz8ppxwsTWXmnezsbEyePBlBQUEICQlBTU0N1yGZBG3L/+5uf7pFeI++rvFMQsZt1DUp4W5niWB3GdfhkBbBbraQmolQUduEzNs1GOhMKzD45Nlnn8WaNWsQERGB8vJyWFhYcB2SSdC0/K00RX6o318wqOXPM4dbuvwfHNyPls3wiLlEhDBPOwDAuRxa8scnV65cgZmZGSIiIgAA9vb2kEioXWMImgl/1O0vPJT8eaRJqcLv10oAAA8OduE4GnK3v8b9KfnrU0JCAmbMmAE3NzcwDIMDBw60es3mzZvh4+MDqVSK8PBwnDhxQvtcRkYG+vTpg5kzZ2LYsGF49913DRi9adMs9bOipX6CQ8mfR85ll0Ne1wR7a3MMb0k0hD80/02SaNKfXtXU1CA0NBSbNm1q8/n9+/dj+fLlWLlyJVJSUhAREYGoqCjk5eUBAJqamnDixAnExcXh9OnTiI+PR3x8vCF/BJPEsmyrlr+ZWJ1SGpupHgbfUfLnkSNpxQCAKQHOEIuoy59vhnnZQcQAeeW1KFbUcx2O0YiKisKaNWswe/bsNp/fsGEDFi1ahOeeew6BgYHYuHEjPD09sWXLFgCAh4cHRowYAU9PT1hYWGDatGlITU1t93oNDQ1QKBQ6D9J1Dc0qqFom9mla/pr/1XwpIPxFyZ8nWJZFfEvyjxxMS/z4yEZqhoB+6kmYybnU+jeExsZGJCcnIzIyUud4ZGQkTp06BQAYMWIEiouLUVFRAZVKhYSEBAQGBrZ7znXr1sHW1lb78PT07NWfwVhpJvsBfxX50fQA1FLy5z1K/jyRVqhAQWUdLM3EiBjkyHU4pB3h3n0BUNe/oZSWlkKpVMLFRXcOjIuLC4qK1JNjJRIJ3n33XUyYMAFDhgzBoEGD8NBDD7V7ztjYWMjlcu0jPz+/V38GY6XZ0c/STKztqdS2/Bto+2u+oymaPKFp9UcMcoTUjCbP8NXw/n3x9ZlcJOdR8jeku1e+sCyrcywqKgpRUVGdOpeFhQUsLCwQFxeHuLg4KJWUqLrjr/H+vz6vNOv9qeXPf9Ty54nfr6pn+d8fRLP8+UzT8r9SIEddIyWN3ubo6AixWKxt5WuUlJS06g3oqujoaKSlpeHcuXM9Oo+pqm2jrr9mdz9q+fMfJX8eKJTX4VKBHAwD3BfgzHU4pAPudpZwkVmgWcXi4s1KrsMxeubm5ggPD281ez8+Ph5jx47lKCoC/JXg71zm16elF4Ba/vxHyZ8HNK3+oZ52cOxDlcn4jGEYDPduWfJHk/70orq6GqmpqdoZ+tnZ2UhNTdUu5YuJicEXX3yBbdu24erVq3jppZeQl5eHJUuW9Oi6cXFxCAoKwogRI3r6I5ik2jYK/Gh6Aaqp5c97NObPA79fVY/3U5e/MAzz7ov/XSqkGf96kpSUhMmTJ2v/HRMTAwCYP38+duzYgTlz5qCsrAyrV69GYWEhgoODcejQIXh7e/foutHR0YiOjoZCoYCtrW2PzmWKNC3/O5O/tTm1/IWCkj/HahubkZip3ib2/kBK/kKgGfdPyatoNfGMdN2kSZPuuVnS0qVLsXTpUgNFRDpDO+Hvjm5/GvMXDl50+3dUurMjiYmJkEgkCAsL0zm+Y8cOMAzT6lFfr1uYpbvX1afEG2VobFbBo68lBtFmMYIQ5CqDuUS9yU9OWS3X4ZBuom7/nvlrzJ9a/kLEefK/V+nO9sjlcjzzzDOYMmVKm8/LZDIUFhbqPKRSaY+vq29/XGvp8g90oRakQJhLRAhxV3cTn6euf8Gi2f49U9vGUj/NF4EaWgnDe5wn/3uV7mzP4sWLMXfuXIwZM6bN5xmGQb9+/XQePb2uvsuCsiyrnexHs/yFZZiXHQDgPK33JyaqzZa/psJfA7X8+Y7T5N+Z0p1t2b59OzIzM/H222+3+5rq6mp4e3vDw8MDDz30EFJSUnp8XX2XBb1yS4GSqgZYmYsxagBt5CMkw7zU4/7n8yq5DYQQjtS2Meav6QWopuTPe5wm/86U7rxbRkYGVqxYgd27d7e7Z3dAQAB27NiBgwcPYu/evZBKpRg3bhwyMjK6fV1A/2VB/2jZvnf8QEdYSKiqn5AMa5n0l16koA86gaIx/57RdO23tdSvlrr9eY8Xs/3vVbpTQ6lUYu7cuVi1ahX8/PzaPd/o0aMxevRo7b/HjRuHYcOG4ZNPPsHHH3/c5etqaMqC6osm+VOXv/C4yKRws5XilrweF/MrMXYg7ccgNLTUr2c0Xfs65X2pyI9gcNry72rpzqqqKiQlJeGFF16ARCKBRCLB6tWrceHCBUgkEvzxxx9tXkckEmHEiBHaln9vlgztrLLqBlxoqRA3mZK/IA3VLPnLr+Q2EEI4oOnx0p3tT0v9hILT5N/V0p0ymQyXLl3SVgNLTU3FkiVL4O/vj9TUVIwaNarN67Asi9TUVLi6unbrur0hIeM2WFa9bMxFJr33GwjvDPW0AwCkUvInJkhRr07+faR3dvurW/51TUooVR3XbiDc4rzbPyYmBvPmzcPw4cMxZswYbN26Vad0Z2xsLAoKCrBz506IRCIEBwfrvN/Z2RlSqVTn+KpVqzB69GgMGjQICoUCH3/8MVJTUxEXF9fp6/a2o9duAwAmBzgZ5HpE/8LuSP5U7IeYmvKaBgCAg7W59tid4/91TUr0seA8xZB2cP5f5l6lOwsLC7u89r6yshLPP/88ioqKYGtri6FDhyIhIQEjR47s9HV7k1LF4vj1luTvT13+QhXsbguJiMHtqgbcktfD3c6S65BIF9CWvt3HsiwqapoAAPZ3JH8LiQhiEQOlikVNQzMlfx5j2HvV1STt0kwUKi0thYODQ6ffl5xbjke3nIatpRmS37gfEjHn5RY409TUhEOHDmHatGkwMzPjOpwue+iTE7hcoEDc3GGYPsSVkxjKysrg6OgIuVwOmUzGSQxCprmP6ffXeVX1TQh55wgA4OrqqbC8Y7lfyDuHUVXfjD9enogBTlS1tCsM+bdoulmHQ8fT1a3+8YMcTTrxG4O/uv6p2A8xHeU1jQAAqZlIJ/EDf036o+V+/EaZhwPHWrr8J/nReL/QDfVUz/inSX/ElJS1JH8H69ZLn61alvvVUP0LXqPkb2Cl1Q24eFMOAJhIyV/wwlrK/F68KUeTUsVtMIQYSEVL8r9zvF+DWv7CQMnfwE5mlAJQL/FzpiV+gufjYA0bqQQNzSpcL67iOhzSBVThr/vKOkr+mpY/FfrhNUr+BqaZ5T/Rn1r9xkAkYhDqYQcA2h4dIgy0q1/3lXem5U+FfniNkr8BqVQsElqS/4RBlPyNRainujTsBRr3Jyaio25/q5blfbTnBb9R8jegtEIFymoaYW0uRnhLaVgifENaWv406Y+Yig67/c2pvr8QUPI3oIQMdat/jK8jzCX0qzcWmuV+14ur6AOPmIRy7Wz/Nlr+mvr+NOGP1ygDGZC2y9+PdoAzJi4yKfrJpFCxwJVbCq7DIaTXdWbCXy11+/MaJX8DqWloRnKuuhAMjfcbnyEeNO5PTEeHY/7U8hcESv4Gcja7DE1KFp72lvB2sOI6HKJnoSa0w59SqcTx48dRUSHsqoa01K/7Oprt38eCxvyFgJK/gSRcV6/vjxjkRLu/GSFNy/9ygfEv9xOLxXjwwQdRWVnJdSg9Qkv9uqehWamdyd9mhT9zzWx/avnzGSV/AzmRoVniR+P9xmiIux0AIKesFvLaJm6DMYCQkBBkZWVxHQbhgKbVLxYxkFm23rWPxvyFgZK/ARTK65B5uwYiRj3TnxgfWysz7XDOJRNo/a9duxavvPIKfv75ZxQWFkKhUOg8iPHSJP++VuZt9mL2sVDvzqmoN/4vwUJGmy0bwImWkr5DPOxgaym8bWtJ54S42yK3rBYXCyox3sh7eKZOnQoAmDlzpk4CYFkWDMNAqaQuX2PV0TI/4K95AOU1lPz5rFvJ/+TJk7CxsUFoaKi+4zFKmnr+EUaeEEzdEA9b/HyxEJdMoMzv0aNHuQ6BcKSjyX53Hq+obYRKxUIkojlOfNSt5L9s2TIsW7asVfK/fv06XFxcYGtrq5fgjIFKxSLxhjr5jx9Iyd+YDTGhGv8TJ07kOgTCkRJFAwDA0ab1ZD8A6Gut7t1Uqlgo6ptgZ9X2lwTCrW4l//T09DZv/qNHj+Knn37CoUOHehyYsbhWVIWymkZYmYsx1ItK+hqzwW4yMAxQUFmHsuoGOPRp+8PRWFRWVuLLL7/E1atXwTAMgoKCsHDhQvryb+RuyesAAG62be9KaiERw8ZCgqqGZpTXNFLy56luTfiTyWQoLy9vdTwiIgJ//vlnj4MyJppW/ygfeyrpa+RspGYY4GgNALho5JP+kpKS4Ovriw8//BDl5eUoLS3Fhg0b4Ovri/Pnz3MdHulFhZX1AAA3O8t2X2PfRzPu32iQmEjXdSsbzZw5E+vXr299MpEIjY30H/tOJ1uS/zjq8jcJIe4t6/2NvOv/pZdewsyZM5GTk4MffvgBP/74I7Kzs/HQQw9h+fLlXIdHelFhS8vftZ2WP/DXuH8ZJX/e6lbyf/fdd3HixAncf//9uHjxIgCgvr4e77//PoYMGaLXAIWssVmFP7PVPSSU/E1DcEvyN/blfklJSXj99dchkfw1ciiRSPDaa68hKSmJw8g6jyr8dU9BZ1r+VtTy57tuJX9HR0ecPn0a5ubmCAsLg6WlJWxsbPDf//4X//d//6fvGAUrJa8CdU1KOFibw9/FhutwiAFoW/5GnvxlMhny8vJaHc/Pz4eNjTD+1qnCX9c1NCtRWq2e8Ndh8rem5M933Zrwt2nTJixevBiHDh1CXl4eUlNTYWZmhlGjRsHe3l7fMQpWYmYZAGDsQEda7mIiBrvbgmGAW/J6o570N2fOHCxatAjr16/H2LFjwTAMTp48iVdffRVPPvkk1+GRXlIsVyd+C4kIfa3ar1lCY/78163k/89//hPu7u4YP348vLy84OXlpX3u5MmTGD9+vN4CFDLNZL9xvg4cR0IMpY+FBD6O1si6XYNLBXJM8nfmOqResX79ejAMg2eeeQbNzeoyrmZmZvjHP/6B9957j+PoSG8pqGyZ6W9n2eEeJQ7U8ue9biV/lmUxZ84cKJVKODk5YciQIRgyZAi8vb3xzjvvoKysTN9xCk51Q7N2e1ca7zctIe62yLpdg8tGnPzNzc3x0UcfYd26dcjMzATLshg4cCCsrGjHSmOmmeznZtf+ZD9AXfoXoAl/fNbttWdZWVlITk7G+++/j8GDByM5ORnr16/HuHHj9BmfYJ3LKUezioVHX0t42tMHoikJdjP+SX8LFy5EVVUVrKysEBISgiFDhsDKygo1NTVYuHAh1+GRXlIoV0/2c7Vtf7wfABy03f4NvR4T6Z5u1/bXTPYLCwvD/Pnz9RmTUTitGe+nLn+TE6yd9Ge8G9x89dVXeO+991pN7qurq8POnTuxbds2jiIjvelWZccFfjTsW7b6raD6/rzV7eR/9epV9O3bF2ZmtFFNW05lqsf7x9IufiZnsLsMgHp8tKKmEX3bqYEuRAqFAizLgmVZVFVVQSr9KwkolUocOnQIzs7GOdRB7kj+Hcz0B/4a8y+jlj9vdTv533fffZBIJPDz89N2+2keHh4e+oxRcCprG3HllrrVN4Za/iZHJlVv75tbVosrtxRGtcOfnZ0dGIYBwzDw8/Nr9TzDMFi1ahUHkRFD0Hb73yP5a5b61TepUNvYDCtz2kCWb7r1X8Tf3x8//vgjCgsLcfnyZVy8eBE//vgj1qxZg7q6OpPfzvNMVjlYFvB1soaLrOPuMWKcgt3U2/teviU3quR/9OhRsCyL++67D99//73O0l5zc3N4e3vDzc2NwwhJb+pst7+VuRjmEhEam1Uoq26ElT0lf77p1n+Rq1evAgACAgIwefJk7XGWZZGZmamfyATsTJZmvN94PvRJ1wx2l+F/lwq1PUDGQrOhV3Z2Nry8vDpc7kWMi6K+CYp69bLOe3X7MwwDB2tzFMrrUVHbSJOeeUivO80wDIOBAwfq85SCpJnsR13+pksz4/+Kkc74/+OPP/Ddd9+1Ov7tt9/iq6++4iAi0tuyb9cAAJxtLGBtce92I9X357cuJ/+6ujqcPHkSaWlprZ6rr6/Hzp079RKYUJVVNyC9uAqAeic/YpoGu6kn/WWV1qCq3vhmPL/33ntwdGzds+Xs7Ix3332Xg4jUewtoViA999xznMRgzHLK1Mnfp2XnynvRlvitpuTPR11K/tevX0dgYCAmTJiAkJAQTJo0CYWFhdrn5XI5FixYoPcgheRMlnojH38XG6Mt7UruzaGPhXbXs6uFVRxHo3+5ubnw8fFpddzb27vNmv+GYGdnh9TUVKSmpuKLL77gJAZjltXS8h/g1Lnk79Ty+VdSRTP++ahLyf/1119HSEgISkpKkJ6eDplMhnHjxnF2s/ORZryfuvzJYDfj3eTH2dlZu6PnnS5cuAAHB/rbN0bZperk39+hc8nftaUKoKYqIOGXLiX/U6dO4d1334WjoyMGDhyIgwcPIioqChEREcjKyuqtGAXldEvyHz2APgBNnabr39gm/QHAE088gRdffBFHjx6FUqmEUqnEH3/8gX/+85944oknuny+hIQEzJgxA25ubmAYBgcOHGj1ms2bN8PHxwdSqRTh4eE4ceKEzvMKhQLh4eEYP348jh8/3t0fjbRDk/w72+2vqQJ4q2ULYMIvXZrtX1dXp7N/N6DeE1skEmHixInYs2ePXoMTmttVDbhRUg2AxvvJX8k/rdD4kv+aNWuQm5uLKVOmaD8TVCoVnnnmmW6N+dfU1CA0NBQLFizAo48+2ur5/fv3Y/ny5di8eTPGjRuHzz77DFFRUUhLS9NuLJaTkwM3NzdcvnwZ06dPx6VLlyCTyVqdq6GhAQ0Nf3VFKxTG999H31iWRU5p17r93VtWBFDLn5+6lPwDAgJw7tw5BAYG6hz/5JNPwLIsZs6cqdfghOZstrrVH9DPxqiqupHuCWpJ/hnFVWhoVsJCIuY4Iv0xNzfH/v378e9//xsXLlyApaUlQkJC4O3t3a3zRUVFISoqqt3nN2zYgEWLFmkn8m3cuBGHDx/Gli1bsG7dOgDQ1hcIDg5GUFAQrl+/juHDh7c617p166gQUReVVjeiqqEZIgadXran6fbX1AYg/NKlbv/Zs2dj3759bT63adMmPPnkk2BZVi+BCdHZlsl+1OVPAHXLx9bSDM0qFhnF1VyH0yv8/Pzw+OOP46GHHup24r+XxsZGJCcnIzIyUud4ZGQkTp06BQCoqKjQtuZv3ryJtLQ0DBgwoM3zxcbGQi6Xax/5+fm9Ercx0XT5u/e17PSXWE23f0VtE+oaTbvwGx91qeWvUCjw9ttvt/v85s2bsXnz5h4HJVSalv/oAdTlT9R1L4JcZTidVYa0Wwrthj/G4ubNmzh48CDy8vLQ2Ki7nGvDhg16u05paSmUSiVcXFx0jru4uKCoqAiAuvDY4sWLIRKJwDAMPvroI53qg3eysLCAhQWtxOmK7FL1l1cfxz6dfo9MKoG1uRg1jUrcktfB16nz7yW9r0vJv7CwEDNmzIBYLMaMGTMwa9Ys3H///XQjQb2+/3pL626kD7X8idpgN3Xyv3JLDsCT63D05vfff8fMmTPh4+OD9PR0BAcHIycnByzLYtiwYb1yzburCbIsqz02duxYXLp0qUvni4uLQ1xcnMmXI++M7NJaAICPQ+cr9TEMAzc7S2SUVKOwsp6SP890qdt/+/btKC4uxjfffAM7Ozu8/PLLcHR0xOzZs7Fjxw6Ulpb2Vpy892f2X+v77Wm8n7TQ7PBnbJP+YmNj8fLLL+Py5cuQSqX4/vvvkZ+fj4kTJ+Lxxx/X67UcHR0hFou1rXyNkpKSVr0BXREdHY20tDScO3eupyEaPc1E5gFdTOCaDYBu0aQ/3ulyhT+GYRAREYEPPvgA165dw59//onRo0fj888/h7u7OyZMmID169ejoKCgN+LlrbMtyX8UdfmTOwS5qrv6024poFIZz3yYq1evYv78+QDUlfXq6urQp08frF69Gu+//75er2Vubo7w8HDEx8frHI+Pj8fYsWP1ei3StmtF6i+vAf1suvQ+zQZANOmPf3q81VJgYCACAwPx2muv4fbt2zh48CAOHjwIAHjllVd6HKBQaIr7jKIuf3IHXydrmEtEqGlUIq+8Fv07uUaa76ytrbUT7Nzc3JCZmYnBgwcDQLd6AKurq3Hjxg3tv7Ozs5Gamgp7e3t4eXkhJiYG8+bNw/DhwzFmzBhs3boVeXl5WLJkSbd/Bur27xxFfRNuVqiTd0C/1ksnO6LZAKiQ1vrzjl439nFycsKiRYvw008/dSnx36t4R3sSExO19bzbs2/fPjAMg4cffljneFVVFZYvXw5vb29YWlpi7Nix3e7+k9c2aev5j6T1/eQOErFI21q6akRd/6NHj0ZiYiIAYPr06Xj55Zexdu1aLFy4EKNHj+7y+ZKSkjB06FAMHToUABATE4OhQ4firbfeAgDMmTMHGzduxOrVqxEWFoaEhAQcOnSoRysMqNu/c9KL1J9tbrZS2FqZdem9mhLX1O3PP91q+SuVSnzxxRe4du0aPDw8tJtpdKesZ2eKd7RFLpfjmWeewZQpU1BcXNzma3Jzc/HKK68gIiKi1XPPPfccLl++jK+//hpubm7YtWsX7r//fqSlpcHd3b1LP0PKzUqwrLr4hZMNTX4kugL7yXDxphxphQpEhbhyHY5ebNiwAdXV6nHgd955B9XV1di/fz8GDhyIDz/8sMvnmzRp0j2XCS9duhRLly7tVryk+661fGkNcO1aqx/4q+VP3f78062W/7Jly/Dmm2+ipKQEsbGxmD59OpydneHl5dXlQj93Fu8IDAzExo0b4enpiS1btnT4vsWLF2Pu3LkYM2ZMm88rlUo89dRTWLVqVav1vnV1dfj+++/xwQcfYMKECRg4cCDeeecd+Pj43PO6bTmfVwmAqvqRtmmK/Qi95f/xxx+jvl7dfSuRSBASEgIAsLKywubNm3Hx4kX88MMPvbbeX9/i4uIQFBSEESNGcB0Kr11tafl3dbwfuKPbX15v0jVg+Khbyf+HH37A119/jd27d8PCwgJJSUnaD4au3PidKd7Rlu3btyMzM7PDmgOrV6/WDkPcrbm5GUqlElKpVOe4paUlTp482e45GxoaoFAodB4AcD63EgCN95O2Bba0mNIEXuM/JiZG+zfv4+OD27dvcxxRz1C3f+dovrQGdqPlr+n2r21UoryGtvblk251+1dXVyMoKAgAYGZmBrFYjOjoaDQ2NuLWrVudPk9ninfcLSMjAytWrMCJEyda7TOgkZiYiC+//BKpqaltPm9jY4MxY8bg3//+NwIDA+Hi4oK9e/fi7NmzGDRoULvxtlcW9FpxNWBmSeP9pE0BruoW0y15PSprG2FnJcyloG5ubvj+++8xbdo0sCyLmzdvansC7tbRkB0RDpWK1Y75B7p2veUvNRPDzVaKW/J65JTV0DbnPNKtlv+AAQO0Sd7d3V27rG/GjBnYtWtXl8/XUfGOOymVSsydOxerVq2Cn59fm+eqqqrC008/jc8//xyOjo7tXvPrr78Gy7Jwd3eHhYUFPv74Y8ydOxdicfulK9srC6pUsXC3s9R2cRFyJ5nUDJ726r8NIa/3f+ONN7B8+XIMGDAADMNgxIgR8PHx0Xn0798fPj4+XIdK9CS/oha1jUqYS0Sd3sr3bj4tGwFl3a7RZ2ikh7rV8n/88cfx66+/YtSoUZg0aRK2bdumnSxXV9f5iR1dLd5RVVWFpKQkpKSk4IUXXgCg3kmMZVlIJBIcOXIE9vb2yMnJwYwZM7TvU6lU6h9WIkF6ejp8fX3h6+uL48ePo6amBgqFAq6urpgzZ06HH1wdlQWl8X7SkSBXGfLL63C1sApjfdv/Uspnzz//PJ588knk5uZiyJAh+O2337o1yZcvaKnfvV0uUH9Z9XexgUTcvcVhPo7WSLxRpt0fgPBDt5L/m2++qf3/r776KkaOHAknJycoFIo2x9jbc2fxjkceeUR7PD4+HrNmzWr1eplM1qqE5+bNm/HHH3/gu+++g4+PD8RicavXvPHGG6iqqsJHH30ET0/dEqvW1tawtrZGRUUFDh8+jA8++KDT8d9pBCV/0oFAVxkOXykW/Li/jY0NgoODsX37dowbN07Qpb2jo6MRHR0NhUIBW1vj2ndBX1LzKwAAoZ7d//1o9gPIKaPkzyc9LvLj5eWFK1eu4NChQ7C3t8f06dO79P57Fe+IjY1FQUEBdu7cCZFIhODgYJ33Ozs7QyqV6hy/+zV2dnatjh8+fBgsy8Lf3x83btzAq6++Cn9/fyxYsKBL8WuM6E/Jn7QvyNU4ZvxraKr7EeOWml8JAAj1sOv2OQY4Urc/H3Ur+a9btw6pqakoLi6GtbU1goKCMGvWLIwfP77L55ozZw7KysqwevVqFBYWIjg4WKd4R2FhIfLy8roTZofkcjliY2Nx8+ZN2Nvb49FHH8XatWthZta1IhYA0NdKAl8n46jcRnqHZqb0jZJqNClVMOtmFyohhtKsVOFSgRwAMNTLrtvn0VS1zCmrgUrFQiRqPZ+LGB7DdmPxpY+PDwIDA2Fvb4+qqipcvHgReXl5mDJlinbTH1Og6S58Zssf+GrJZK7DEaSmpiYcOnQI06ZN69YXL6FgWRYh7xxBdUMzDi+fAP9urJluT1lZGRwdHSGXyyGTdX05lqnT3Mf0+9N15ZYc0z8+CRsLCS68HdntpN2kVCHwzV/RrGJxasV9NDG6A4b8W+xW8yM7OxuHDh3Crl278NNPPyE7OxunT59GaWkpoqOj9R0j7w3rwbdiYhoYhjHKMr9CRkV+Oqbp8h/iaduj1rqZWAQve/VWwDTpjz/01vc4cuRIbNu2TbupjykZ6mnHdQhEADRd/1eLjCf5l5aWagv/CA0V+enYhZbkH6aHzzcfzbg/JX/e6PGEv+3bt6NPnz4wNzfHgQMH4OTkpI+4BMXfpWt7XBPTpCn2c7WwiuNIeqayshIrV67E/v37UVGhng3u5OSEBQsW4M0334SVlRXHERJ9SNUm/749Ppcm+WfTpD/e6HHyP3v2LL799ltUVlZi2rRpJtny7+76V2JaNC3/awLu9i8vL8eYMWNQUFCAp556CoGBgWBZFlevXsUnn3yC+Ph4nDx5EhcuXMDZs2fx4osvch0y6YbymkZcL1Zv3NSTyX4aA5zUDaQbt6t7fC6iHz3OWp9++ilKS0vx888/Iysri7rQCGmHv4sNGAYoqWpAWXUD1+F0y+rVq2Fubo7MzEx89tlnWL58OV566SVs3boVN27cQGNjI+bNm4fIyEhaOy9gf2aXAwAGOfeBox5K8momuAr5i6+x6VbynzBhAs6cOaP9N8MwiIqKwu7du7Fy5Uq9BUeIMbG2kMC7ZeKTULv+Dxw4gPXr17dZgbNfv3744IMP8P333yMmJob3tQBowl/7zmaXAQBGDdBP/RLNZFchf/E1Nt1K/kOGDMH48eMxduxY/Oc//8GRI0dw6tQpfPnll10q70uIqQno19L1L9BJf4WFhRg8eHC7zwcHB0MkEnW44yZf0IS/9p3NUrf89bVTqbWFBN4O6i++14qE+cXX2HQr+W/atAkXL16Ev78/Vq9ejalTp2L8+PHYvHkzVqxYoe8YCTEamkl/Qv0AdHR0RE5OTrvPZ2dnw9nZ2XABEb2T1zZpV6Toq+UPgJa68ky3x/yDgoKwfft2lJeX49q1azhz5gxu3bqF119/XZ/xEWJUhN7ynzp1KlauXInGxtZ7szc0NODNN9/E1KlTOYiM6Mu5nHKwrLosr7ONVG/n1U54FegXX2PT49n+YrG43e11CSG6NK2fjOJqNCtVglspsmrVKgwfPhyDBg1CdHQ0AgICAABpaWnYvHkzGhoasHPnTo6jJD1xKlO/4/0ami++1PLnhx4nf0JI53nZW8HSTIy6JiVyymox0FlYNSI8PDxw+vRpLF26FLGxsdBUB2cYBg888AA2bdoELy8vjqMkPZGQcRsAEDFIvzVbNJtbCfWLr7Gh5E+IAYlEDPz62eBCfiXSi6oEl/wB9d4ev/zyCyoqKpCRkQEAGDhwIOztaWdLoSuorMONkmqIGGCcr6Nez+3R1xLW5mLUNCqRVVoDPxf97W9Buo6+ehFiYIGaNc8CHffX6Nu3L0aOHImRI0cKMvHTUr/WEq6rW/1DvfrC1kq/G22JRIx23P9yy26BhDuU/AkxsIB+wp7xbyxoqV9rx9PVyX+iX++UaQ9t2SdAUzqYcIeSPyEG5k8TnwgPNStVSMwsBQBM6KXkH0bJnzco+RNiYJqW/82KOlQ3NHMcDSFq53IqUFXfjL5WZghx753SzJrkf7VQgfomZa9cg3QOJX9CDKyvtTmcbdT10q8XU9c/4YcjaUUAgCmBLhCLmF65hkdfSzj2MUeTksWVW9TzxSVK/oRwQLPRSTqN+xMeYFkWR64UAwAig1rv26AvDMNoW/8peRW9dh1yb5T8CeFAACV/wiNphQoUVNZBaibS+/r+u9G4Pz9Q8ieEA5o1zkJf7keMg6bVP2GQEyzNxb16rTDPvgCAlLzKXr0O6Rglf0I4oCl1ml5Upa2SRwhXfrlcCAB4oBe7/DXCvOwgFjEoqKxDQSXtAssVSv6EcGCQSx8wDFBR24TbtL854VB6URWuF1fDTMwgcnC/Xr9eHwsJgltWE5zNKuv165G2UfInhANSMzH6O1gDoHF/rlCFP7X/XrgFAJjo5wxbS/1W9WvP6JZNg85Q8ucMJX9COOLvQpP+uEQV/tSz/A+2JP+ZYW4Gu+7oAQ4AgDNZ5Qa7JtFFyZ8QjvhTmV/CsQs35cgrr4WlmRj3Bzob7LrDvftCLGKQV16LWzTuzwlK/oRwRJP8M6jQD+HID+dvAgDuD3KBlbnhNnm1kZoh2E096fVsNnX9c4GSPyEc0Sz3u15cDZWKZvwTw6pvUuKnVHWX/2PhHga//mhfddf/yQxK/lyg5E8IR/o7WMFcLEJdk5KWPBGD++1qMeR1TXC1lWL8QEeDX39iSzGhhIzb9OWXA5T8CeGIRCyCr3MfADTpjxjed8nqLv/Zw9x7rZZ/R8L794WVuRi3qxpwlYpdGRwlf0I45O/Skvxp3J8YUEFlHRKu3wYAPBbuyUkMFhIxxrZ0/R9Lv81JDKaMkj8hHPLrpxn3p+RPDGfv2TyoWGCsrwN8HK05i2Oiv3qFwfHrlPwNjZI/IRzyc6a1/sSwGptV2HcuDwDw9GhvTmPRjPsn51ZAUd/EaSymhpI/IRzSLPfLul2DJqWK42iIKTh8pQil1Y1wtrEwSC3/jng5WMHXyRpKFUtd/wZGyZ8QDrnbWcLKXIxGpQq5ZTVch0NMwI5TOQCAJ0Z6wUzMfQrQ7Cdw+HIRx5GYFu7/yxNiwkQiBoNaZvxfL67mOBphq62thbe3N1555RWuQ+Gt83kVSM6tgLlYhKdHe3EdDgBgakvyP5ZegvomJcfRmA5K/oRw7K9iPzTu3xNr167FqFGjuA6D1748mQ1AXcff2UbKcTRqQzxs4WorRU2jEok3SrkOx2RQ8ieEY5T8ey4jIwPXrl3DtGnTuA6Ft/LLa/FrS9f6ovE+HEfzF4ZhENky9+BX6vo3GEr+hHBskItpd/snJCRgxowZcHNzA8MwOHDgQKvXbN68GT4+PpBKpQgPD8eJEyd0nn/llVewbt06A0UsTJ+fyIJSxWL8QEcEusq4DkfHg8Hqrv8jacVoaKauf0Og5E8IxzQt/5zSGjQ2m96M/5qaGoSGhmLTpk1tPr9//34sX74cK1euREpKCiIiIhAVFYW8PPVytZ9++gl+fn7w8/Pr1PUaGhqgUCh0HsaupKoe+87lAwCWTvblOJrWRvk4wNnGAvK6JiRcp65/Q6DkTwjHXG2lsLGQoFnFIrvU9Gb8R0VFYc2aNZg9e3abz2/YsAGLFi3Cc889h8DAQGzcuBGenp7YsmULAODMmTPYt28f+vfvj1deeQWff/45Vq9e3e711q1bB1tbW+3D05ObCneG9OXJbDQ2qzDMyw5jBjhwHU4rYhGDGaFuAICfUgs4jsY0UPInhGMMw9zR9U/j/ndqbGxEcnIyIiMjdY5HRkbi1KlTANTJPD8/Hzk5OVi/fj3+/ve/46233mr3nLGxsZDL5dpHfn5+r/4MXCurbsDXp3MBAEsnDQTDGL6Of2fMClMn/9+uFqOmoZnjaIwfJX9CeIAm/bWttLQUSqUSLi66xWhcXFxQVNS9yWEWFhaQyWQ6D2P2WUIWahuVCHG3xZRAZ67DaVeIuy18HK1R36TC4Ss08a+3UfInhAcGUfLv0N2tVZZl22zBPvvss1i/fn2nzhkXF4egoCCMGDFCLzHyUUlVPXaezgEAxDzgx9tWP6D+b/zIUHcAwDdJxt0bwweU/AnhAb+Wbv8ME53x3x5HR0eIxeJWrfySkpJWvQFdFR0djbS0NJw7d65H5+GzTX/cQH2TCkO97DDJ34nrcO7psXAPMAxwJqscOSY4/8WQKPkTwgOabv/c8lpa6nQHc3NzhIeHIz4+Xud4fHw8xo4dy1FUwpBdWoM9Z9UrIl590J/XrX4NNztLTGjZ7Ida/72LF8n/Xmt425OYmAiJRIKwsLB2X7Nv3z4wDIOHH35Y53hzczPeeOMN+Pj4wNLSEgMGDMDq1auhUpneUivCPWcbC9hIJVCa4Iz/6upqpKamIjU1FQCQnZ2N1NRU7VK+mJgYfPHFF9i2bRuuXr2Kl156CXl5eViyZEmPrmvs3f7rD6ejWcVikr8Txvo6ch1Op80ZoV598V3yTdrsqjexHNu3bx9rZmbGfv7552xaWhr7z3/+k7W2tmZzc3M7fF9lZSU7YMAANjIykg0NDW3zNTk5Oay7uzsbERHBzpo1S+e5NWvWsA4ODuzPP//MZmdns99++y3bp08fduPGjZ2OXS6XswDY0tLSTr+H6GpsbGQPHDjANjY2ch0K52ZvTmS9X/+ZPZha0KX3lZaWsgBYuVzeS5H1rqNHj7IAWj3mz5+vfU1cXBzr7e3Nmpubs8OGDWOPHz+ut+tr7mOh/v7akpRTxnq//jPbf8XP7NVCYf1cDU1KNvzfR1jv139mD128xXU4BmXIv0XOW/73WsPbnsWLF2Pu3LkYM2ZMm88rlUo89dRTWLVqFQYMGNDq+dOnT2PWrFmYPn06+vfvj8ceewyRkZFISkrSy89FSFdpNvjJMLFJf5MmTQLLsq0eO3bs0L5m6dKlyMnJQUNDA5KTkzFhwgTuAuY5lYrFOwfTAAB/C/dEQD9hrWYwl4jwxAj1pkNftUxWJPrHafLvzBretmzfvh2ZmZl4++23233N6tWr4eTkhEWLFrX5/Pjx4/H777/j+vXrAIALFy7g5MmTHdYGN8XKYMRwBmqSfwlN+jMEY+32/+78TVwqkMPGQoJXHvTnOpxumTvKC2IRgzNZ5UgvMq0vw4bCafLvzhrejIwMrFixArt374ZEImnzNYmJifjyyy/x+eeft3vt119/HU8++SQCAgJgZmaGoUOHYvny5XjyySfbfY8pVgYjhqOZ9EfJ3zCMcbZ/ZW0j3v/lGgBg2ZSBcLKx4Dii7nGzs9Ru9rPjVDbH0Rgnzrv9gc6v4VUqlZg7dy5WrVrVbh3vqqoqPP300/j888/h6Nj+JJf9+/dj165d2LNnD86fP4+vvvoK69evx1dffdXue0ytMhgxLE2VP1Ot8U967v8Op6OsphGDnPvg2bH82bmvOxaMU8f//fkC3K5q4Dga49N209lAurqGt6qqCklJSUhJScELL7wAAFCpVGBZFhKJBEeOHIG9vT1ycnIwY8YM7fs0M/glEgnS09Ph6+uLV199FStWrMATTzwBAAgJCUFubi7WrVuH+fPntxmvhYUFLCyE+U2a8F8/mbrGf1VDM3LKarQ9AYR0RkpeBfb8qV4h8e+Hg2Eu4UXbrttG9O+LUE87XMivxM7TOXg5UphDGHzF6V9HV9fwymQyXLp0SbssKDU1FUuWLIG/vz9SU1MxatQoBAQEtHrNzJkzMXnyZKSmpmq76mtrayES6f74YrGYlvoRzjAMg4FU7MdgjGnMv7FZhRXfXwLLArOHumM0Dzfv6SqGYbB4gnqy9tdnclHbSPX+9YnTlj+gXsM7b948DB8+HGPGjMHWrVt11vDGxsaioKAAO3fuhEgkQnBwsM77nZ2dIZVKdY7f/Ro7O7tWx2fMmIG1a9fCy8sLgwcPRkpKCjZs2ICFCxf20k9KyL0Ncu6DlLxKXC+uwnS4ch2OUYuOjkZ0dDQUCgVsbW25DqdHthzLRHpxFeytzfHGQ0Fch6M3Dw7uB28HK+SW1WLP2Tw8F9F65RbpHs6T/5w5c1BWVobVq1ejsLAQwcHBOHToELy9vQEAhYWF2mIf+vTJJ5/gzTffxNKlS1FSUgI3NzcsXry4w93ACOltg5zVXf03blPLn3TO1UIFNh3NAAC8M3Mw7K3NOY5If8QiBksn+eL17y/h0+NZeHq0N6RmYq7DMgoMy7Is10EIlabFUFpaCgcH4XezcaGpqQmHDh3CtGnTYGZmxnU4nDt6rQQLdpyDv4sNDr/UubXsZWVlcHR0hFwuN/od6nqD5j4W4u+vsVmFWXGJuFqowANBLtg6L1wQZXy7orFZhcnrj6Ggsg5vPRSEheOFPZGxI4b8WxT2jBBCjIxmrX92aQ2aqbRprzKGMf+Pf8/A1UIF+lqZ4d1HQowu8QPqoj/RkwcCALYcz6Sxfz2h5E8Ij7jbWcLSTIxGpQp55bVch2PUhL7O/8/scmw+dgMAsPaREMGu6e+Mx8I94GlvidtVDdhxKofrcIwCJX9CeEQkYuDrbA2Aiv2Q9snrmvDS/lSoWHVinBZi3JNDzSUivHS/urbLp8cyIa9t4jgi4aPkTwjPaCf9UfInbWBZFq99dwEFlXXwsrfCOzMHcx2SQcwKc4e/iw0U9c3aHg/SfZT8CeEZzbg/JX/Slp2nc3H4SjHMxAw2zR2KPhacL9oyCLGIwYqoAADA9sQc5JXRsFhPUPInhGf+2uCHNjQhus7nVWDN/9Q79sVGBWKIhx23ARnYJH8nRAxyRKNShXW/XOU6HEGj5E8Iz2i29s0sqYFKRStxe4vQZvuXVjcgevd5NClZRAX3w4Jx/bkOyeAYhsEb04MgYoBfLhch8UYp1yEJFiV/QnjGy94K5mIR6pqUKKis4zocoyWk2f6NzSos3X0ehfJ6DHCyxv89HmqUy/o6w7+fDeaNVheBe+uny7QJVjdR8ieEZyRiEfo7WgGgSn9EbfXPV/Bndjn6WEiwdV64yYzztycm0h+OfSyQebsGX5zM4jocQaLkTwgPDdR2/VPyN3VfncrBrjN5YBjgoyfCMNCZdnu0tTTDv6apJ/999FsGckprOI5IeCj5E8JDA51oxj8BjqaXYNV/rwAAXnswAFMCW291bqoeGeqO8QMd0dCsQuwPl0CV6ruGkj8hPORLy/1M3uUCOV7YfR4qFvjbcA8smUg72t2JYRi8+0gIpGYinM4qw54/9b8BnDGj5E8ID2nX+t+uphaNCcovr8WCHedQ06jEuIEOWPOwcdbt7ykvByu8EukPAFj7v6u09r8LKPkTwkO+Tn3AMEBlbRPKahq5Dsco8XWpX2l1A+Z9eRa3qxoQ0M8GW54Oh7mEPqrbs3CcD0b62KO2UYlXvr0AJS2P7RT6iyKEh6RmYnj0tQRAXf+9hY9L/RT1TZi/7U/klNXC3c4SOxaMhExKW113RCRi8J/HQ2FtLsafOeXYQqV/O4WSPyE8RZP+TEttYzMWbj+HK7cUcLA2x9eLRqKfrZTrsATB094Kq2cFAwA+/C0DybkVHEfEf5T8CeEpqvFvOuoalVi0IwlJuRWQSSX4etEoDGj58kc6Z/Ywd8wMdYNSxWLZnvOooOGyDlHyJ4SnKPmbhvomJZ7/Ogmns8pgbS7GjoUjEeQm4zoswWEYBmsfCYaPozVuyevx0jepVB67A5T8CeEpTfLPoip/RquuUYlFX53DiYxSWJmL8dXCkRjm1ZfrsATLRmqGzU8Ng4VEhGPpt/HR7xlch8RblPwJ4akBjurkf0tej5qGZo6jIfpWVd+E+dv/ROKNlhb/gpEY3t+e67AEL9BVhncfCQEAfPR7Bg5fKeI4In6i5E8IT/W1NoeDtTkAIOs2lS81JpW1jXj6i7P4M7scNhYS7Fw0EiN9KPHry6PhHnh2bH8AwEv7U5F2S8FtQDxEyZ8QHtNU+sukrn+jUSivw+OfnsaFm3L0tTLDnr+PRrg3JX59Wzk9EOMGOqC2UYnnvjqHkqp6rkPiFUr+hPCYLy33Myo3Sqrw2JbTyCipRj+ZFPsXj0GIhy3XYRklM7EIm+eGY0DLBMCFO86hmobPtCj5E8JjA6nl32sMXeHvXE45Ht1yGgWVdRjgaI3v/jEGfi60Q19vsrUyw/YFI+BgbY7LBQos3X0ejc0qrsPiBUr+hPCYr5M1AEr+vcGQFf5+Si3AU5+fhbyuCUO97PDdP8bCo69Vr1+XAN4O1vjy2RGwNBMj4fptvEwlgAFQ8ieE1zTd/tmlNWhWUotFaFiWxcbfruOf+1LRqFThwcEu2PPcaNi3TOQkhhHmaYctTw+DRMTgvxdu4c2fLpv8hlmU/AnhMXc7S0jNRGhSssivqOM6HNIFdY1KLNubgo2/qdeaPzfeB5ufCoeluZjjyEzTJH9nbJgTBoYB9pzNw6r/ppn0FwBK/oTwmEjEaNf706Q/4bhZUYtHt5zCzxcLIRExeG92CN54KAhiEW3Ly6WZoW54/9EhAIAdp3Lw75+vmuwXAEr+hPCcL1X6E5STGaWY8clJpBWqN+jZ/dwoPDHSi+uwSIu/DffUFgHalpiNtw9eMckywBKuAyCEdIwm/QmDSsVi87Eb2BB/HSoWCHG3xafzwuFuZ8l1aOQuc0d5QSwCVvxwCTtP56KmQYn3Hw2BRGw67WFK/oTwnGZ3t0yq8sdbZdUNePnbCziWfhsA8LfhHlg9KxhSMxrf56s5I7xgLhHhlW8v4vvzN6Gob8InTw41mf9mpvM1hxCBopY/v53OLMO0j0/gWPptWEhE+ODRIfjgsVCTSSJC9shQD2x5ahjMJSLEpxXj6S/OmsxWwJT8CeE5zYS/ytomlJvIB5MQNClVWH84HXO/OINiRQN8nazx0wvj8LcRnlyHRrogcnA/fL1wJGykEiTlVuDRLaeQW2b8vWyU/AnhOUtzsXbcmFr//JBdWoPHPj2NTUdvgGXV3fwHXxiPgH4yrkMj3TBqgAO+WzIW7naWyCqtwcNxiTiTVcZ1WL2Kkj8hAqDd4IeW+7VSVVWFESNGICwsDCEhIfj888977VoqFYuvT+dg2kcncCG/EjKpBJ88ORQfPBYKawuaQiVk/v1s8OPSsRjiYYuK2iY8/cVZfH0m12iXAtJfKyECMMDRGgnXb1PLvw1WVlY4fvw4rKysUFtbi+DgYMyePRsODg56vc7Nilq8/v1FJN5QtwjH+jpg/eOhcKPZ/EbDWSbFN4vH4NXvLqorAR64jEs3K41y8iYlf0IE4K+tfY1/LLKrxGIxrKzUdfLr6+uhVCr12lpTqVjsOpuL93+5hppGJaRmIrw+NQDzx/SHiIr2GB2pmRgfPxGGwW4yfPDrNXyTdBOXCxTY8vQweDtYcx2e3lC3PyECYMwz/hMSEjBjxgy4ubmBYRgcOHCg1Ws2b94MHx8fSKVShIeH48SJEzrPV1ZWIjQ0FB4eHnjttdfg6Oiol9gyiqvwt89O462frqCmUYnh3n3xyz8nYME4H0r8RoxhGCyZ6IudC0fB3tocaYUKTP/4JA5euMV1aHpDyZ8QAdBs8JNfXouGZiXH0ehXTU0NQkNDsWnTpjaf379/P5YvX46VK1ciJSUFERERiIqKQl5envY1dnZ2uHDhArKzs7Fnzx4UFxf3KKb6JiX+cyQd0z4+gaTcCliZi/HOjCB8s3gMfByNp/VHOjZ+kCP+9+J4jOjfF9UNzXhxbwpe+fYCqhuauQ6txyj5EyIAzjYWsDYXQ8UCuWW1XIejV1FRUVizZg1mz57d5vMbNmzAokWL8NxzzyEwMBAbN26Ep6cntmzZ0uq1Li4uGDJkCBISEtq9XkNDAxQKhc7jTkfTS/DgxgR88scNNClZ3BfgjPiYiXiWWvsmydXWEnv/Phov3jcQIgb4Lvkmoj5KwJ/Z5VyH1iOU/AkRAIZhTLLGf2NjI5KTkxEZGalzPDIyEqdOnQIAFBcXaxO4QqFAQkIC/P392z3nunXrYGtrq314eqrX5d8sr8XfdyZhwfZzyC2rRT+ZFFueGoYv5w+nEr0mTiIWISbSH/ueHwN3O0vkl9dhztbT+PfPaahrFGZPHCV/QgRigKNm3N90Jv2VlpZCqVTCxcVF57iLiwuKiooAADdv3sSECRMQGhqK8ePH44UXXsCQIUPaPWdsbCzkcrn2kZ+fDwCYEZeI+LRiiEUMnhvvg99enoioEFcwDLX2idpIH3v8sjwCj4d7gGWBL09mY+pHCTh1o5Tr0LqMZvsTIhCaGv9ZJpT8Ne5OwCzLao+Fh4cjNTW10+eysLCAhYVFq+NNzSpE+DvgnRmDMcjFpkfxEuMlk5rh/x4PxbQQV8T+cAm5ZbWY+8VZPBbugdioADj0af23xUfU8idEIDST/rJKTafb39HREWKxWNvK1ygpKWnVG9BVcXFxCAoKwogRIwAAG58Iw65Foyjxk06ZHOCM+JgJmDfaG0zLXIApG45j99lcKAWwRTAvkv+9lvG0JzExERKJBGFhYe2+Zt++fWAYBg8//LDO8f79+4NhmFaP6OjoHvwkhPSeAS3L/bJu1xht1bG7mZubIzw8HPHx8TrH4+PjMXbs2B6dOzo6GmlpaTh37hwA4P5AF+riJ11iIzXDvx8Oxvf/GItAVxkqa5uw8sfLmLnpJM7yvDww58m/M8t42iKXy/HMM89gypQp7b4mNzcXr7zyCiIiIlo9d+7cORQWFmofmg+Xxx9/vGc/ECG9xMfRGgwDyOuaUGZEG/xUV1cjNTVV23WfnZ2N1NRU7WdATEwMvvjiC2zbtg1Xr17FSy+9hLy8PCxZsqRH17275U9Idw3z6ov/vjAO78wIgo1Ugiu3FJiz9QyWfJ2M7FJ+DtMxLMdNiFGjRmHYsGE6y3YCAwPx8MMPY926de2+74knnsCgQYMgFotx4MCBVmN+SqUSEydOxIIFC3DixAlUVla2WTxEY/ny5fj555+RkZHR6W//CoUCtra2KC0t1XspUVPR1NSEQ4cOYdq0aTAzM+M6HN4b994fKKiswzeLx2Ckjz0AoKysDI6OjpDL5ZDJhLexzLFjxzB58uRWx+fPn48dO3YAUPcOfvDBBygsLERwcDA+/PBDTJgwQS/X19zHQv39EX4pq27Ahvjr2PtnHlQsIBExeHKkF5ZNGQhnG2mH7zXk3yKnLf/OLONpy/bt25GZmYm333673desXr0aTk5OWLRoUafi2LVrFxYuXNhh4r/X+mBCepsxLvebNGkSWJZt9dAkfgBYunQpcnJy0NDQgOTkZL0lfkL0zaGPBdY+EoJf/jkBk/yd0Kxi8fWZXEz84Bje++UaKnjSa8dp8u/MMp67ZWRkYMWKFdi9ezckkrYXKyQmJuLLL7/s9O5eBw4cQGVlJZ599tkOX9fe+mBCDEWz3C+Lp12JhBA1/3422LFgJPb+fTTCPO1Q16TEp8czMf79P/DBr9dQVt3AaXycj/kDHS/juZNSqcTcuXOxatUq+Pn5tXmuqqoqPP300/j88887Xd/7yy+/RFRUFNzc3Dp8XXvrgwkxFF/tpD/jaflzhcb8iSGM8XXAj0vH4otnhiPIVYaaRiU2H8vE+PeP4t8/p6FQXsdJXJyu8+/qMp6qqiokJSUhJSUFL7zwAgBApVKBZVlIJBIcOXIE9vb2yMnJwYwZM7TvU6lUAACJRIL09HT4+vpqn8vNzcVvv/2GH3744Z7xtrc+mBBD0a71p5Z/j0VHRyM6Olo7zkpIb2EYBvcHuWBKoDOOpBVj0x83cKlAji9PZmPn6RzMCHXD8xMGwM3KcDFxmvzvXMbzyCOPaI/Hx8dj1qxZrV4vk8lw6dIlnWObN2/GH3/8ge+++w4+Pj4Qi8WtXvPGG2+gqqoKH330Uauu+u3bt8PZ2RnTp0/X409GSO/QbCqTV1aLJqUKZmJedN4RQjqBYRg8OLgfIoNckJBRis1Hb+Bsdjl+OF+AH84XYKR7xxMC9YnzCn8xMTGYN28ehg8fjjFjxmDr1q06y3hiY2NRUFCAnTt3QiQSITg4WOf9zs7OkEqlOsfvfo2dnV2bx1UqFbZv34758+e3O3+AED7pJ5PC0kyMuiYl8strtT0BhBDhYBgGE/2cMNHPCSl5FfjiRDZ+uVyIM1mG2yyI84w3Z84clJWVYfXq1dplPIcOHYK3tzcAoLCw8J5r/rvrt99+Q15eHhYuXNgr5ydE30QiBj6O1kgrVCC7tIaSfw/ExcUhLi4OSqUwN2YhxmGoV1/EPdUXNytq8dlvl7Fmo2Guy/k6fyGjdf49R+v8uy56z3n872IhVk4LxN8nDBD8On+u0Tp/whcms86fENJ1vtrlfjTjnxDSPZT8CREYnztq/BNCSHdQ8idEYAY40nI/faB1/sSUUfInRGA0Lf/bVQ2oqm/iOBrhuntXP0JMCSV/QgRGJjWDYx91sSm+7hhGCOE3Sv6ECNCAltY/JX9CSHdQ8idEgLQb/NCkP0JIN1DyJ0SANGV+qeVPCOkOSv6ECJAPrfXvMZrtT0wZJX9CBEg75n+7BlSks3totj8xZZT8CREgL3triBigplGJ0upGrsMhhAgMJX9CBMhcIoKnvXrz79zyWo6jIYQIDSV/QgRKM+6fW0bJnxDSNZT8CREobfKnlj8hpIso+RMiUAOo5U8I6SZK/oQIlE/LBj951PLvFlrqR0wZJX9CBEqzwU9BZT3HkQgTLfUjpoySPyEC5SqTwkIiQpOS1vkTQrqGkj8hAiUSMejvYM11GIQQAaLkT4iAaWb8E0JIV1DyJ0TANOP+hBDSFZT8CREwH+r2J4R0AyV/QgSMWv6EkO6g5E+IgNGYPyGkOyj5EyJgDtbmsLYQcx0GIURgKPkTImAMw8C7ZXc/0jVU4Y+YMkr+hAict70l1yEIElX4I6aMkj8hAvfkSC+uQyCECAwlf0IELsRdxnUIhBCBoeRPCCGEmBhK/oQQQoiJoeRPCCGEmBhK/oQQQoiJoeRPCCGEmBhK/oQQQoiJoeRPCCGEmBhK/oQQwcvPz8ekSZMQFBSEIUOG4Ntvv+U6JEJ4TcJ1AIQQ0lMSiQQbN25EWFgYSkpKMGzYMEybNg3W1rTrISFtoeRPCBE8V1dXuLq6AgCcnZ1hb2+P8vJySv6EtIO6/QkhnEtISMCMGTPg5uYGhmFw4MCBVq/ZvHkzfHx8IJVKER4ejhMnTrR5rqSkJKhUKnh6evZy1IQIFyV/QgjnampqEBoaik2bNrX5/P79+7F8+XKsXLkSKSkpiIiIQFRUFPLy8nReV1ZWhmeeeQZbt241RNiECBZ1+/cAy7IAgKqqKpiZmXEcjTA1NTWhtrYWCoWCfofdVFVVBeCvv0chioqKQlRUVLvPb9iwAYsWLcJzzz0HANi4cSMOHz6MLVu2YN26dQCAhoYGPPLII4iNjcXYsWPbPVdDQwMaGhq0/5bL5QAAhUKhjx+FkG7T/A0a4l6m5N8DZWVlAAAfHx+OIyFE/fdoa2vLdRh619jYiOTkZKxYsULneGRkJE6dOgVA/WH57LPP4r777sO8efM6PN+6deuwatWqVsdpmIDwhSHuZUr+PWBvbw8AyMvLM8oPXUNQKBTw9PREfn4+ZDLamrY75HI5vLy8tH+Pxqa0tBRKpRIuLi46x11cXFBUVAQASExMxP79+zFkyBDtfIGvv/4aISEhrc4XGxuLmJgY7b8rKyvh7e1N93EP0b3cc4a8lyn594BIpJ4yYWtrS3/sPSSTyeh32EOav0djxTCMzr9ZltUeGz9+PFQqVafOY2FhAQsLi1bH6T7WD7qXe84Q97Jxf1oQQgTP0dERYrFY28rXKCkpadUbQAjpHEr+hBBeMzc3R3h4OOLj43WOx8fHdzixjxDSPur27wELCwu8/fbbbXYhks6h32HPGcPvsLq6Gjdu3ND+Ozs7G6mpqbC3t4eXlxdiYmIwb948DB8+HGPGjMHWrVuRl5eHJUuW9PjaxvD74wP6PfacIX+HDCvk9UGEEKNw7NgxTJ48udXx+fPnY8eOHQDURX4++OADFBYWIjg4GB9++CEmTJhg4EgJMQ6U/AkhhBATQ2P+hBBCiImh5E8IIYSYGEr+hBBCiImh5N8GpVKJsWPH4tFHH9U5LpfL4enpiTfeeIOjyIzHs88+C4ZhWj2effZZrkMzKprfc1uz4pcuXWrUv3O6jw2D7mXD0Pe9TMm/DWKxGF999RV+/fVX7N69W3t82bJlsLe3x1tvvcVhdMZj6tSpKCws1Hl89NFHXIdldDw9PbFv3z7U1dVpj9XX12Pv3r3w8vLiMLLeRfex4dC9bBj6vJcp+bdj0KBBWLduHZYtW4Zbt27hp59+wr59+/DVV1/B3Ny83fddv37dgFEKm4WFBfr166fzoNrqHevO39ewYcPg5eWFH374QXvshx9+gKenJ4YOHarP8HiH7mPDoHu567i+lyn5d2DZsmUIDQ3FM888g+effx5vvfUWwsLC2n39ypUrMXnyZJ1vZYToS2JiIoYNG4bff/+9y+9dsGABtm/frv33tm3bsHDhQn2Gx1t0HxO+4cO9TMm/AwzDYMuWLfj999/h4uLSakvRO/3rX//CZ599hkOHDsHS0tKAURJTMW7cOPznP//BrFmzuvyhMW/ePJw8eRI5OTnIzc1FYmIinn766V6KlF/oPiZ8w4d7mcr73sO2bdtgZWWF7Oxs3Lx5E/3792/1mqNHj2LdunUA0GGLwtvbGzk5Ob0TKDEKly9fbnMb2rvNnDkTNTU1nT6vo6Mjpk+fjq+++gosy2L69OlwdHTsSaiCQvcxMTS+38uU/Dtw+vRpfPjhh/jll1/wwQcfYNGiRfjtt99abS0aERGBxx57DEePHsW3334LV1fXNs9nZmZmiLCJgPn5+eHq1avtPn/kyBHExMR0azLVwoUL8cILLwAA4uLiuh2j0NB9TLjA93uZkn876urqMH/+fCxevBj3338//Pz8EBwcjM8++6zVUguJRIK9e/fiqaeewj/+8Q+kpKRQlyHpFnNzcwQEBLT53Llz5xAbG4vPPvsMixYt6vK5p06disbGRgDAgw8+2KM4hYLuY8IVvt/LlPzbsWLFCqhUKrz//vsAAC8vL/znP/9BTEwMpk6d2qrbUCKRYM+ePYiPj6cPDNIrQkND8eOPPyIyMrJb7xeLxdqWiFgs1mdovEX3MeEjPtzLNOGvDcePH0dcXBx27NgBa2tr7fG///3vGDt2LBYtWoS29kMSi8WYOnWqIUMlJsTc3LzbHxYaMpkMMplMTxHxG93HhK/4cC/Trn6EEEKIiaGWPyGEEGJiKPkTQgghJoaSPyGEEGJiKPkTQgghJoaSPyGEEGJiKPkTQgghJoaSPyGEEGJiKPkTQgghJoaSPyGEEGJiKPmbgE8//RQ2NjZobm7WHquuroaZmRkiIiJ0XnvixAkwDIPr168bOky9y8nJAcMwSE1N5ToUQnqM7uNUrkMxKpT8TcDkyZNRXV2NpKQk7bETJ06gX79+OHfuHGpra7XHjx07Bjc3N/j5+XERKm81NTVxHQIxcXQf9xzdx3+h5G8C/P394ebmhmPHjmmPHTt2DLNmzYKvry9OnTqlc3zy5MnYtWsXhg8fDhsbG/Tr1w9z585FSUkJAEClUsHDwwOffvqpznXOnz8PhmGQlZUFAJDL5Xj++efh7OwMmUyG++67DxcuXAAApKeng2EYXLt2TeccGzZsQP/+/bUbrqSlpWHatGno06cPXFxcMG/ePJSWlmpfr9mxbeDAgbCwsICXlxfWrl0LAPDx8QEADB06FAzDYNKkSdr3rF69Gh4eHrCwsEBYWBh+/fVX7Tk1LY1vvvkGkyZNglQqxa5du7r9+ydEH+g+pvtYr1hiEubOnctGRkZq/z1ixAj222+/Zf/xj3+w//rXv1iWZdmGhgbW0tKS/eKLL9gvv/ySPXToEJuZmcmePn2aHT16NBsVFaV9/8svv8yOHz9e5xovv/wyO2bMGJZlWValUrHjxo1jZ8yYwZ47d469fv06+/LLL7MODg5sWVkZy7IsGx4ezr7xxhs65wgPD2djY2NZlmXZW7dusY6OjmxsbCx79epV9vz58+wDDzzATp48Wfv61157je3bty+7Y8cO9saNG+yJEyfYzz//nGVZlv3zzz9ZAOxvv/3GFhYWaq+7YcMGViaTsXv37mWvXbvGvvbaa6yZmRl7/fp1lmVZNjs7mwXA9u/fn/3+++/ZrKwstqCgoOf/EQjpIbqP6T7WF0r+JmLr1q2stbU129TUxCoUClYikbDFxcXsvn372LFjx7Isy7LHjx9nAbCZmZmt3q+5AauqqliWZdnz58+zDMOwOTk5LMuyrFKpZN3d3dm4uDiWZVn2999/Z2UyGVtfX69zHl9fX/azzz5jWVZ98w4YMED7XHp6OguAvXLlCsuyLPvmm2/qfNCxLMvm5+ezANj09HRWoVCwFhYW2g+Ju2lu/pSUFJ3jbm5u7Nq1a3WOjRgxgl26dKnO+zZu3NjOb5MQbtB9/Be6j3uGuv1NxOTJk1FTU4Nz587hxIkT8PPzg7OzMyZOnIhz586hpqYGx44dg5eXFwYMGICUlBTMmjUL3t7esLGx0Xa15eXlAVB3wQUEBGDv3r0A1Hunl5SU4G9/+xsAIDk5GdXV1XBwcECfPn20j+zsbGRmZgIAnnjiCeTm5uLMmTMAgN27dyMsLAxBQUHacxw9elTn/QEBAQCAzMxMXL16FQ0NDZgyZUqnfw8KhQK3bt3CuHHjdI6PGzcOV69e1Tk2fPjwrvyKCel1dB+r0X3ccxKuAyCGMXDgQHh4eODo0aOoqKjAxIkTAQD9+vWDj48PEhMTcfToUdx3332oqalBZGQkIiMjsWvXLjg5OSEvLw8PPvggGhsbted86qmnsGfPHqxYsQJ79uzBgw8+CEdHRwDq8ThXV1ed8UkNOzs7AICrqysmT56MPXv2YPTo0di7dy8WL16sfZ1KpcKMGTPw/vvvtzqHq6urdkyyOxiG0fk3y7KtjllbW3f7/IT0BrqPddF93H3U8jchkydPxrFjx3Ds2DFtCwAAJk6ciMOHD+PMmTOYPHkyrl27htLSUrz33nuIiIhAQECAdpLQnebOnYtLly4hOTkZ3333HZ566intc8OGDUNRUREkEgkGDhyo89B8sADqD579+/fj9OnTyMzMxBNPPKFzjitXrqB///6tzmFtbY1BgwbB0tISv//+e5s/r7m5OQBAqVRqj8lkMri5ueHkyZM6rz116hQCAwO79gslhAN0H9N9rBdcjzsQw9m2bRtraWnJSiQStqioSHt8165drI2NDQuAzcvLY0tKSlhzc3P21VdfZTMzM9mffvqJ9fPza3PcbezYsWxoaCjbp08ftra2VntcpVKx48ePZ0NDQ9lff/2Vzc7OZhMTE9mVK1ey586d075OLpezUqmUDQ0NZadMmaJz7oKCAtbJyYl97LHH2LNnz7KZmZns4cOH2QULFrDNzc0sy7LsO++8w/bt25f96quv2Bs3brCnT59mv/jiC5ZlWbapqYm1tLRk16xZwxYVFbGVlZUsy7Lshx9+yMpkMnbfvn3stWvX2Ndff73NiUJ3/6yE8AHdx3Qf6wMlfxOiuRkCAgJ0jmsm3/j6+mqP7dmzh+3fvz9rYWHBjhkzhj148GCbN1JcXBwLgH3mmWdaXU+hULDLli1j3dzcWDMzM9bT05N96qmn2Ly8PJ3XPf744ywAdtu2ba3Ocf36dfaRRx5h7ezsWEtLSzYgIIBdvnw5q1KpWJZVT1Bas2YN6+3tzZqZmbFeXl7su+++q33/559/znp6erIikYidOHGi9j2rVq1i3d3dWTMzMzY0NJT95ZdfWv2e6EOD8BHdxxO176H7uPsYlm1ZiEkIIYQQk0Bj/oQQQoiJoeRPCCGEmBhK/oQQQoiJoeRPCCGEmBhK/oQQQoiJoeRPCCGEmBhK/oQQQoiJoeRPCCGEmBhK/oQQQoiJoeRPCCGEmBhK/oQQQoiJ+X+MEO7rSY+pEgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# shift the frequencies at k=0 to make them continuous\n", "freqs_cured = copy.deepcopy(freqs)\n", "freqs_im_cured = copy.deepcopy(freqs_im)\n", "freqs_cured[nk, 0] = 0\n", "for j in range(1, nfreq-1):\n", " freqs_cured [nk,j] = freqs [nk, j-1]\n", " freqs_im_cured[nk,j] = freqs_im[nk, j-1]\n", "\n", "# then we calculate and plot the Q-factor of that mode\n", "jmode=2\n", "qfactor = freqs_cured[:,jmode]/2/freqs_im_cured[:,jmode]\n", "kappa = range(nkappa)\n", "\n", "xticks, xticklabels = path['indexes'], [r'X$\\leftarrow$', '$\\Gamma$', r'$\\rightarrow$ M']\n", "markersize = 3\n", "\n", "fig, ax = plt.subplots(nrows=1, ncols=2, constrained_layout=True, figsize=(5, 4))\n", "for a in ax:\n", " a.set_xlim([0, gme.freqs.shape[0]-1])\n", " a.set_xlabel(\"Wavevector\")\n", " a.set_xticks(path['indexes'])\n", " a.set_xticklabels(xticklabels)\n", "\n", "ax[0].plot(kappa, freqs_cured[:, jmode])\n", "ax[0].set_ylabel(\"$\\omega a/2\\pi c$\")\n", "ax[0].xaxis.grid('True')\n", "\n", "ax[1].plot(kappa, qfactor)\n", "ax[1].set_yscale('log')\n", "ax[1].set_ylim([10**2, 10**8])\n", "ax[1].set_ylabel(\"Q factor\")" ] }, { "cell_type": "markdown", "metadata": { "id": "uE5DjbO2IHxi" }, "source": [ "The Q-factor actually diverges as $Q\\propto k^{-2}$ for ${\\bf k}\\rightarrow0$. This can be seen by using a double-log scale (see CPC paper, Fig. 9(b), inset) or by plotting the imaginary part of the frequency as a function of $k$. Compare also with Fig. S3 of [Zagaglia et el, Opt. Lett. 48, 5017 (2023)](https://doi.org/10.1364/OL.501595)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 445 }, "executionInfo": { "elapsed": 736, "status": "ok", "timestamp": 1708440205377, "user": { "displayName": "SIMONE ZANOTTI", "userId": "14051006727806237496" }, "user_tz": -60 }, "id": "SHRz2RQhxCjD", "outputId": "fb868fc6-19e5-414f-98a0-81a16b7b492d" }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$\\\\mathcal{I}(\\\\omega a/2\\\\pi c)$')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "markersize = 1\n", "\n", "fig, ax = plt.subplots(1, constrained_layout=True, figsize=(5, 4))\n", "ax.plot(kappa, freqs_im_cured[:,2], markersize=markersize)\n", "ax.set_xticks(path['indexes'])\n", "ax.set_xticklabels(xticklabels)\n", "ax.xaxis.grid('True')\n", "\n", "#ax.set_yscale('log')\n", "#ax.set_ylim([10**2, 10**8])\n", "ax.set_xlim([0, gme.freqs.shape[0]-1])\n", "ax.set_xlabel(\"Wavevector\")\n", "ax.set_ylabel(\"$\\mathcal{I}(\\omega a/2\\pi c)$\")" ] }, { "cell_type": "markdown", "metadata": { "id": "zie8JCSC1Rcz" }, "source": [ "We see that there are many BICs with infinite Q-factor at $k=0$, which are BICs. (For symmetry reasons, in the square lattice with circular holes, all nondegenerate states are symmetry-protected BICs, and vice-versa).\n", "\n", "Here we focus on the lowest BIC with dimensionless frequency around 0.45. Let's visualize the field components on the top of the slab (z=D). [The lowest cladding in legume extends from $z=-\\infty$ to $z=0$.]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 382 }, "executionInfo": { "elapsed": 2456, "status": "ok", "timestamp": 1708440727432, "user": { "displayName": "SIMONE ZANOTTI", "userId": "14051006727806237496" }, "user_tz": -60 }, "id": "ce1O-Pt71Pql", "outputId": "e0d5e01c-30e3-4e4a-eba1-a7b738461d4e" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Target mode at band index 1 has frequency = 0.451974\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# to avoid the issue of the band discontinuity, for a given k we find the index j that correspond to the target mode\n", "jk = nk\n", "result = [(j, freqs[jk,j]) for j in range(nfreq) if ((freqs[jk,j] > 0.44) and (freqs[jk,j] < 0.46)) ]\n", "(jmode, frequency) = result[0]\n", "plt.rcParams['figure.figsize'] = [10,4] # We change the defualt figure size to better show field profiles\n", "print(f\"Target mode at band index {jmode} has frequency = {frequency:.6f}\")\n", "\n", "ax=legume.viz.field(gme, 'E', nk, jmode, z=D, component='xyz', val='re', N1=200, N2=200)\n", "plt.figure().set_figwidth(32)\n", "# be careful about real and imaginary parts... usually both of them can be nonzero\n", "# in this particular case, the electric field is real, while the magnetic field is imaginary" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 397 }, "executionInfo": { "elapsed": 3299, "status": "ok", "timestamp": 1708440735668, "user": { "displayName": "SIMONE ZANOTTI", "userId": "14051006727806237496" }, "user_tz": -60 }, "id": "TBsLhujT-rjl", "outputId": "0d293d88-3511-489b-ee79-552433384afa" }, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,3))\n", "ax2=legume.viz.field(gme, 'H', nk, jmode, z=D, component='xyz', val='im', N1=200, N2=200)" ] }, { "cell_type": "markdown", "metadata": { "id": "y_JfW-WLOjDc" }, "source": [ "See Appendix B of the CPC paper for a symmetry analysis of the BIC field profiles. This figure more or less corresponds to Fig. B.15 (which has a more sophisticated graphics)." ] } ], "metadata": { "colab": { "provenance": [ { "file_id": "1hpyJSMZMOTBfa68Av9HwLW4gOJkTiZFL", "timestamp": 1708104910484 }, { "file_id": "1FJOpgUI7ptjD4DoHdbNaukgCLY93jKrv", "timestamp": 1707915873186 }, { "file_id": "1n0P6EbaveZbZ93A9xfPE6bJ2qnti4zZh", "timestamp": 1706725478031 }, { "file_id": "1HVj2bXU4fgooGFL4bv1nWIEMlFxLSwKL", "timestamp": 1703665850721 }, { "file_id": "1faK4isUy1NDKeqWl6nvCzq20pYAeLbbg", "timestamp": 1703606078249 } ] }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 4 }