{ "cells": [ { "cell_type": "markdown", "id": "a40f6857", "metadata": {}, "source": [ "## The attenuation over time of a single-frequency component in the initial concentration\n", "\n", "### The initial system state is a sine wave of frequency 2 (i.e. 2 cycles across the system's length), of amplitude 10, with a baseline (bias) of 30\n", "### Afterward, the process is restarted and repeated with a frequency 5 times larger " ] }, { "cell_type": "markdown", "id": "ef93cd2d-ef80-415b-ae11-08b1b90a9c84", "metadata": {}, "source": [ "### TAGS : \"diffusion 1D\"" ] }, { "cell_type": "code", "execution_count": 1, "id": "9dae7376-cf99-4b04-b25d-03a41a3c2784", "metadata": {}, "outputs": [], "source": [ "LAST_REVISED = \"June 4, 2025\"\n", "LIFE123_VERSION = \"1.0.0rc6\" # Library version this experiment is based on" ] }, { "cell_type": "code", "execution_count": 2, "id": "c6f560d0-5a55-4c42-990e-397d3cee0d0f", "metadata": {}, "outputs": [], "source": [ "#import set_path # Using MyBinder? Uncomment this before running the next cell!" ] }, { "cell_type": "code", "execution_count": 3, "id": "590d5c58-f37a-4359-9c2c-de22f4a3f228", "metadata": {}, "outputs": [], "source": [ "#import sys\n", "#sys.path.append(\"C:/some_path/my_env_or_install\") # CHANGE to the folder containing your venv or libraries installation!\n", "# NOTE: If any of the imports below can't find a module, uncomment the lines above, or try: import set_path \n", "\n", "from life123 import BioSim1D, ChemData, PlotlyHelper, check_version" ] }, { "cell_type": "code", "execution_count": 4, "id": "4cc67b62-027c-4d24-8b79-7dc0beb8a59b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OK\n" ] } ], "source": [ "check_version(LIFE123_VERSION)" ] }, { "cell_type": "code", "execution_count": null, "id": "4ce5b287", "metadata": { "tags": [] }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 5, "id": "696122b0-c8c4-4d43-a4fc-319f95221602", "metadata": { "tags": [] }, "outputs": [], "source": [ "# Initialize the system. We use a RELATIVELY LARGE NUMBER OF BINS, \n", "# to captures the finer changes in the frequency components of the concentration function\n", "chem_data = ChemData(names=\"A\", diffusion_rates=0.5)\n", "bio = BioSim1D(n_bins=500, chem_data=chem_data)" ] }, { "cell_type": "code", "execution_count": null, "id": "06fdff09-1298-4bfc-958b-4485a337faa2", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "20c8fd90-5315-4c5c-a60b-20427fc13b84", "metadata": {}, "source": [ "## Initial Preparation -\n", "### Start with a sinusoidal concentration, with exactly 2 cycles over the length of the system\n", "#### (of amplitude 10 and bias value of 30)" ] }, { "cell_type": "code", "execution_count": 6, "id": "99ab76d6", "metadata": { "tags": [] }, "outputs": [], "source": [ "bio.inject_sine_conc(chem_label=\"A\", amplitude=10, bias=30, number_cycles=2)" ] }, { "cell_type": "code", "execution_count": 7, "id": "012d98f0-4846-4d56-8b50-f30543b31fe0", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM SNAPSHOT at time 0:\n" ] }, { "data": { "text/html": [ "
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"text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show as heatmap\n", "bio.system_heatmaps(title_prefix=\"Initial System State (as a heatmap)\")" ] }, { "cell_type": "code", "execution_count": 10, "id": "117dd061-3c8e-469b-ba03-c13f60533190", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
FrequencyRelative Amplitude
00.03.0
12.01.0
\n", "
" ], "text/plain": [ " Frequency Relative Amplitude\n", "0 0.0 3.0\n", "1 2.0 1.0" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Take a look at the frequency domain of the concentration values\n", "frequency_data = bio.frequency_analysis(chem_label=\"A\")\n", "frequency_data" ] }, { "cell_type": "code", "execution_count": 11, "id": "cec696b8-42c8-4a36-893d-58131cabb305", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "0.3333333333333333" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# The ratio of the frequency-2 wave over the constant part (the bias)\n", "ratio = frequency_data.loc[1, \"Relative Amplitude\"] / frequency_data.loc[0, \"Relative Amplitude\"]\n", "ratio" ] }, { "cell_type": "markdown", "id": "8aa23e12-1a35-4caf-b1d6-7e61849777dc", "metadata": {}, "source": [ "#### Start saving the value of this type of ratio" ] }, { "cell_type": "code", "execution_count": 12, "id": "cd74d764-2828-4a99-897d-d163ceb762b4", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SYSTEM TIMEratiocaption
000.333333
\n", "
" ], "text/plain": [ " SYSTEM TIME ratio caption\n", "0 0 0.333333 " ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.save_value(data_snapshot={\"ratio\": ratio})\n", "bio.get_saved_values()" ] }, { "cell_type": "code", "execution_count": null, "id": "a149e87a-8bda-4e89-814a-932e6feec9cf", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "4ecbe3fb-93dd-4fe5-bda6-b39a7deebf64", "metadata": {}, "source": [ "# Start the diffusion - to time t=10" ] }, { "cell_type": "code", "execution_count": 13, "id": "7a494325-bfee-4860-b082-1e23f4bd63c6", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "{'steps': 100, 'system time': '10'}" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.diffuse(total_duration=10, n_steps=100)" ] }, { "cell_type": "code", "execution_count": 14, "id": "c061e1f6-76ee-430f-8cc8-cb7f8d201acd", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
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FrequencyRelative Amplitude
00.0136826.215286
11.01.000000
22.045466.923974
33.02.992211
44.03.980559
.........
246246.011.415221
247247.011.413727
248248.011.412659
249249.011.412018
250250.011.411805
\n", "

251 rows × 2 columns

\n", "
" ], "text/plain": [ " Frequency Relative Amplitude\n", "0 0.0 136826.215286\n", "1 1.0 1.000000\n", "2 2.0 45466.923974\n", "3 3.0 2.992211\n", "4 4.0 3.980559\n", ".. ... ...\n", "246 246.0 11.415221\n", "247 247.0 11.413727\n", "248 248.0 11.412659\n", "249 249.0 11.412018\n", "250 250.0 11.411805\n", "\n", "[251 rows x 2 columns]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Take a look at the frequency domain of the concentration values\n", "frequency_data = bio.frequency_analysis(chem_label=\"A\")\n", "frequency_data" ] }, { "cell_type": "code", "execution_count": 15, "id": "5b0f60ae-990c-427b-996e-c50e6f52fc55", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "0.33229687657831997" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ratio = frequency_data.loc[2, \"Relative Amplitude\"] / frequency_data.loc[0, \"Relative Amplitude\"]\n", "ratio" ] }, { "cell_type": "code", "execution_count": 16, "id": "6254e675-3621-4dd1-bd24-b23acaf6098b", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SYSTEM TIMEratiocaption
00.00.333333
110.00.332297
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" ], "text/plain": [ " SYSTEM TIME ratio caption\n", "0 0.0 0.333333 \n", "1 10.0 0.332297 " ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.save_value(data_snapshot={\"ratio\": ratio})\n", "bio.get_saved_values()" ] }, { "cell_type": "code", "execution_count": null, "id": "26c45614-8e30-4b01-9d75-032069999f58", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "6a3f0fdf-9f85-4d86-af87-ae7138dd6c7e", "metadata": {}, "source": [ "## Do 49 more rounds of diffusion - to time t = 500" ] }, { "cell_type": "code", "execution_count": 17, "id": "ae720c4b-3975-4a3d-a0b0-72d0fc947965", "metadata": { "tags": [] }, "outputs": [], "source": [ "for i in range(49):\n", " bio.diffuse(total_duration=10, n_steps=100)\n", " frequency_data = bio.frequency_analysis(chem_label=\"A\")\n", " ratio = frequency_data.loc[2, \"Relative Amplitude\"] / frequency_data.loc[0, \"Relative Amplitude\"]\n", " bio.save_value(data_snapshot={\"ratio\": ratio})" ] }, { "cell_type": "code", "execution_count": 18, "id": "0b466fe9-2f44-4153-89d3-cbc51045bc36", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.visualize_system()" ] }, { "cell_type": "markdown", "id": "f9e05960-371d-44e3-bc68-c31fb7fa606c", "metadata": {}, "source": [ "#### Note how the curve is flatter still - and even beginning to lose shape at the boundary " ] }, { "cell_type": "code", "execution_count": null, "id": "7bfa977a-2dca-46ac-b993-48a4cbefc2e3", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "524b10e8-7eba-4b3e-a26b-11044d76aeb3", "metadata": {}, "source": [ "## Do 800 more rounds of diffusion - to time t = 10000" ] }, { "cell_type": "code", "execution_count": 23, "id": "86388457-bd86-43ec-8b05-78d1fe220484", "metadata": { "tags": [] }, "outputs": [], "source": [ "for i in range(800):\n", " bio.diffuse(total_duration=10, n_steps=20) # Note how we're gradually increasing the number of intermediate steps, because the gradiants are now smaller\n", " frequency_data = bio.frequency_analysis(chem_label=\"A\")\n", " ratio = frequency_data.loc[2, \"Relative Amplitude\"] / frequency_data.loc[0, \"Relative Amplitude\"]\n", " bio.save_value(data_snapshot={\"ratio\": ratio})" ] }, { "cell_type": "code", "execution_count": 24, "id": "f123d146-68bd-416a-b94b-dd2b5ad9ad81", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Same, but wigh log scale for y-axis (and save the figure object in a variable)\n", "fig_freq_2 = PlotlyHelper.plot_pandas(df=bio.get_saved_values(), x_var=\"SYSTEM TIME\", fields=\"ratio\",\n", " log_y=True, y_label=\"ratio\",\n", " title= \"Component of frequency=2, relative to amplitude of constant bias
(log scale in y-axis)\",\n", " colors=\"orange\")\n", "fig_freq_2.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "6a3962c1-8f75-462b-95a9-d7f3d48688e9", "metadata": { "tags": [] }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "b424f3c4-6655-4756-8043-a5093c8ca601", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "3bb28b31-6f7d-4a88-b212-380ed9ba3223", "metadata": {}, "source": [ "# Start a NEW system\n", "#### Everything same as before EXCEPT the frequency is now 5 times bigger (10 cycles over the length of the system)" ] }, { "cell_type": "code", "execution_count": 28, "id": "28898026-1a90-47e3-889a-ca63c672d6fa", "metadata": { "tags": [] }, "outputs": [], "source": [ "bio = BioSim1D(n_bins=500, chem_data=chem_data)" ] }, { "cell_type": "code", "execution_count": 29, "id": "65fc0320-6173-40ec-937d-434d46020fb1", "metadata": { "tags": [] }, "outputs": [], "source": [ "bio.inject_sine_conc(chem_label=\"A\", amplitude=10, bias=30, number_cycles=10) # x5 higher frequency than before" ] }, { "cell_type": "code", "execution_count": 30, "id": "b94a9b05-be8f-4f57-8c34-308f710f4e95", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Bin number=%{x}
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rN+MEzx75jOrPakqlXacRr6AYJ5XKqGnISqSynHAFJdiIbz2MVJb78tCII5VJ1uRGHbNpj1RyoU4DfNrTRAhAAAJVJlA3UqnFJmodWDkh0BeorFv/cMlVvJpbVJnBE2rcLU+SrgWrllTqE/VJA44vXD0efNjtSiqVUWssK5HKYN2aXcvqe0sufNHttCUyqVTqbNI1lfa61nLvkyjpCRuprLRsM1obtpax3NXfwVtkJZ3+rmSkO4pL0i9h5bia17mlUFJSbAcBCEAguwTqRirN1KQ9xR13U3Qjjloow26LE3aFbNiV41GyFXb1tzkUdGbZLdcX7ptZTanUtwgKMgkbtU0qlWEXUwSnUu0pdfsiKXsKOopP1NXf9oUpYaJn6ghbgxicUo+SmKi3ahi34KhqGOMkdyIw9UVdZFMNqQwe9/ZaW8104++fKHuhTlR7JR913PxcQo8sBCAAgcYnUDdSGTxR2ljj7j9Y7krqsItS7BOxvW6x3H0qdfuSrMusVDbDDqewi5bi1pYGywiTZXs9nmarJUSLuS2Vem1e8P6cumxbDMMufImS0SRSqesod59Ks4/2etly96kMu/+j/mKg7xVpM620bN2m4NrSpPepdBmpjNp/83zcRV328WH6N8k6zCQfd/bxmla5SepmGwhAAAIQqC2BupJKFxRJb5vjUnaeM2mvucszS/YdAhCAAAQgkAcCDS2VUTdBz0PHVXsfkcpqE6Z8CEAAAhCAQLYINLRUxv1cY7a6yf/eIJX+mVMjBCAAAQhAoJEJNLRUNjJ42g4BCEAAAhCAAASyRACpzFJvsi8QgAAEIAABCECgRgSQyhqBp1oIQAACEIAABCCQJQJIZZZ6k32BAAQgAAEIQAACNSKAVNYIPNVCAAIQgAAEIACBLBFAKrPUm+wLBCAAAQhAAAIQqBEBpLJG4KkWAhCAAAQgAAEIZIkAUpml3mRfIAABCEAAAhCAQI0IIJU1Ak+1EIAABCAAAQhAIEsEkMos9Sb7AgEIQAACEIAABGpEAKmsEXiqhQAEIAABCEAAAlkigFRmqTfZFwhAAAIQgAAEIFAjAkhljcBTLQQgAAEIQAACEMgSAaQyS73JvkAAAhCAAAQgAIEaEUAqawSeaiEAAQhAAAIQgECWCCCVWepN9gUCEIAABCAAAQjUiABSWSPwVAsBCEAAAhCAAASyRACpzFJvsi8QgAAEIAABCECgRgSQyhqBp1oIQAACEIAABCCQJQJIZZZ6k32BAAQgAAEIQAACNSKAVNYIPNVCAAIQgAAEIACBLBFAKrPUm+wLBCAAAQhAAALeCYwYM1Xt3NVaUu/saRPV+NGXeG9LLStEKmtJn7ohAAEIQAACEGhYAhs2blaTr1ugLh9xnlo455qS/Rh80SS15b6lDbtvLg1HKl2okYEABCAAAQhAIPcE9AjlOUNOP0oobTDPbntRjZowq/i0LaFjJ89RA/ofV3h93fqHC/89c9CpqmVJc0lR8xevUEtb1kaWU+sOQSpr3QPUDwEIQAACEIBAwxEwo5RL5s1Qw4cOiWy/EcrgdLgto1oqH9/6tApuo0c6J40dqWZOGVcoe3rzrQXhDI5+6pwtnrUEiVSmQL9970HV/vKhFEqiCFcCvXt0UQcOHlZ79x92LYJcCgQ6dzpG9e7eWe1o3Z9CaRQhIdCvd1e1u32/Onj4X5JiyAoJdO/aSXXq2EG17jkoLIm4lMCA414jLaIkv3zVPerGRcvKTnHr0cWHH91aIn9GSI0gmpHK4BS6lkj9MM9pySwnsKnuoENhSKUDtGDkM9Onq9bWVtXW1qZaj/y1t7cX/vbs2aP27t2r9u3bpw4cOKAOHTqkDh8+rP71r1c+4Dt06KA6duyoOnXqpLp06aK6du2qunXrprp376569uxZ+Gvq1Uv1OvLX1NR05O/If3v3Vr3/90//e+DAE1WPHj0KuWOPPVZ17ty5UKZ+6LoOHjyo9u/fX2jHP/7xj0K72tpaj7S3Te3evbvw16r/jrRfP1fdffjf/bD2oVevpsK+VrIf27Y9V6N9CO8Hl32I7osjx1HI8bRjx46qHkvp7kN6x1O/fv0Svx/qdR9q974OP5Z8fDa59EW239fh7wne1+XPcy7HUtTna/MX5wjP+KXxpFIZJoxm9NJIYpRUPr/9pYKMGgldc8dcdfLAE1LdjzQLQyqFNJHKpGKMVCYTfKQy+EULqZR8WUQqJV/a05SZqC/uSGVjS2VS0UMqhaKVpzhSiVSme/JBKpHKtGYgkEqksvKZIB8zWrX6spj2SKV2HT0lHXblt35NT3vr9ZCS6W8zUmmPbNarZzFSKewZpBKpRCqrt5yiVicfP0tCqr2sBalEKpHK4FKvakilmQIPu5pbX3ij10wmvVBHX/1tr6k0UqlVRa+x3LT5SbV+5c1FcwleqBMnuELVSRxHKhOjCt8QqUQqkUqksj7XSiOVSCVSWW2pNGaghS746NunqUT+kt5SKE4qjViaWw7pfwdlFqkUCl09xJFKpBKpRCqRytKLCF3eE1yok/7FnC79wPR3PZhF47aBkUph3yGVSGW6H9ysqWRNJWsq/d6ZwsddHbj6ux7e19WY/hYqRObiSKWwS5FKpBKpZKSSkUpGKl1u28bV34199bdQHzIZRyqF3YpUIpVIJVKJVCKVSGXyezLX6gI8RiqFwpMgjlQmgBS3CVKJVCKVSCVSiVQilUilUCcyEUcqhd2IVCKVSCVSiVQilUglUinUiUzEkUphNyKVSCVSiVQilUglUolUCnUiE3GkUtiNSCVSiVQilUglUolUIpVCnchEHKkUdiNSiVQilUglUolUIpVIpVAnMhFHKoXdiFQilUglUolUIpVIJVIp1IlMxJFKYTcilUglUolUIpVIJVKZP6k85phjhAbhFv/nP//pFvSQQiqFkJFKpBKpRCqRSqQSqcyfVHbs2FFoEG7xw4cPuwU9pJBKIWSkEqlEKpFKpBKpRCrzJ5X6pydr8Th06FAtqk1UJ1KZCFP0RkglUolUIpVIJVKJVOZPKjt37iw0CLf4wYMH3YIeUkilEDJSiVQilUglUolUIpX5k8ouXboIDcItfuDAAbeghxRSKYSMVCKVSCVSiVQilUhl/qTy2GOPFRqEW3z//v1uQQ8ppFIIGalEKpFKpBKpRCqRyvxJZdeuXYUG4Rbft2+fW9BDCqkUQkYqkUqkEqlEKpFKpDJ/Uvma17xGaBBu8Zdfftkt6CGFVAohI5VIJVKJVCKVSCVSmT+p7Natm9Ag3OJ79+51C3pIIZVCyEglUolUIpVIJVKJVOZPKrt37y40CLf4nj173IIeUkilEDJSiVQilUglUolUIpX5k8oePXoIDcItro+1en0glcKeQSqRSqQSqUQqkUqkMn9S2bNnT6FBuMXb29vdgh5SSKUQMlKJVCKVSCVSiVQilfmTyl69egkNwi3e1tbmFvSQQiqFkJFKpBKpRCqRSqQSqcyfVDY1NQkNwi3e2trqFvSQQiqFkJFKpBKpRCqRSqQSqcyfVPbu3VtoEG7x3bt3uwU9pJBKIWSkEqlEKpFKpBKpRCrzJ5Wvfe1rhQbhFv/73//uFvSQQiqFkJFKpBKpRCqRSqQSqcyfVPbp00doEG7xXbt2uQU9pJBKIWSkEqlEKpFKpBKpRCrzJ5V9+/YVGoRbfOfOnW5BDymkUggZqUQqkUqkEqlEKpHK/Ellv379hAbhFt+xY4db0EMKqRRCRiqRSqQSqUQqkUqkMn9SefzxxwsNwi3+t7/9zS3oIYVUCiEjlUglUolUIpVIJVKZP6ns37+/0CDc4tu3b3cLekghlULISCVSiVQilUglUolU5k8qX/e61wkNwi3+wgsvuAU9pJBKIWSkEqlEKpFKpBKpRCrzJ5UDBw4UGoRbfNu2bW5BDymkUggZqUQqkUqkEqlEKpHK/EnliSeeKDQIt/hzzz3nFvSQQiqFkJFKpBKpRCqRSqQSqcyfVJ500klCg3CL//Wvf3ULekghlULISCVSiVQilUglUolU5k8qX//61wsNwi3+l7/8xS3oIYVUCiEjlUglUolUIpVIJVKZP6k85ZRThAbhFn/mmWfcgh5SSKUQMlKJVCKVSCVSiVQilfmTytNOO01oEG7xp556yi3oIYVUCiEjlUglUolUIpVIJVKZP6l8wxveIDQIt/if//xnt6CHFFIphIxUIpVIJVKJVCKVSGX+pPL0008XGoRb/Mknn3QLekghlULISCVSiVQilUglUolU5k8q3/jGNwoNwi3+pz/9yS3oIYVUCiEjlUglUolUIpVIJVKZP6kcNGiQ0CDc4lu3bnULekghlULISCVSiVQilUglUolU5k8qzzjjDKFBuMWfeOIJt6CHFFIphIxUIpVIJVKJVCKVSGX+pPJNb3qT0CDc4n/84x/dgh5SSKUQMlKJVCKVSCVSiVQilfmTysGDBwsNwi2+ZcsWt6CHFFIphIxUIpVIJVKJVCKVSGX+pHLIkCFCg3CLb9682S3oIYVUCiEjlUglUolUIpVIJVKZP6k866yzhAbhFn/sscfcgh5SSKUQMlKJVCKVSCVSiVQilfmTyje/+c1Cg3CL/+EPf3ALekghlULISCVSiVQilUglUolU5k8q3/KWtwgNwi3++9//viQ4f/EKtbRlbfG5SWNHqplTxhX/PfiiSUdVtGTeDDV8aPrT90ilW58WU0glUolUIpVIJVKJVOZPKs855xyhQbjFN23aVBIcO3mOalnSXCKRs6dNVONHX1J4TktltSTS3gOk0q1PkcojBDp06KA6dkQqkUqkEqlEKpHK/EnlueeeKzQIt/gjjzwSG9SSed7Zg4qjlUilG+eapBipRCqRSqQSqUQqkcr8SeX5559fE+946KGHIut9dtuLatSEWcoeqQwGqjlqyUil8JBAKpFKpBKpRCqRSqQyf1I5dOhQoUG4xTdu3BgaNGsn7TWVwY3N+sst9y11q7xMCqkUYkUqkUqkEqlEKpFKpDJ/UnnBBRcIDcIt/uCDD8YGR4yZqq64bFjJxTrBQDWnw5FKtz5lTSVrKlXv3r1VU1MvhVQilUglUolU5k8qhw0bJjQIt/gDDzwQG5zefGvh9YVzrokc0azWFDhS6danSCVSiVS2t6u2tlbV2opUIpVIJVKZP6l861vfKjQIt/jvfve7kmDY1d9mCnz5qnsK25orwbVwbtr8pFq/8ma3ypn+rgo3pBKpRCqRSnXo0CF1+PBhhVQilUhl/qTybW97W3UFI6L03/72t0dJ5eNbny4+F1xTuWHjZjX5ugUl21drPaWuhJFK4SHBmkrWVDL9zUglUolUIpX5k8q3v/3tQoNwi//mN79xC3pIIZVCyEglUolUIpVIJVKJVOZPKi+88EKhQbjF77//freghxRSKYSMVCKVSCVSiVQilUhl/qTyohEjhAbhFr9v/Xq3oIcUUimEjFQilUglUolUIpVIZf6k8uKLLxYahFv83nvvdQt6SCGVQshIJVKJVCKVSCVSiVTmTyrf8Y53CA3CLf7rX//aLeghhVQKISOVSCVSiVQilUglUpk/qbz00kuFBuEWv/vuu92CHlJIpRAyUolUIpVIJVKJVCKV+ZPKyy67TGgQbvFf/epXbkEPKaRSCBmpRCqRSqQSqUQqkcr8SeW/X3650CDc4v9v3Tq3oIcUUimEjFQilUglUolUIpVIZf6kcuTIkUKDcIuvXbvWLeghhVQKISOVSCVSiVQilUglUpk/qRw1apTQINzia9ascQt6SCGVQshIJVKJVCKVSCVSiVTmTyrf+R//ITQIt/gv//u/3YIeUkilEDJSiVQilUglUolUIpX5k8orrrhCaBBu8bvuusst6CGFVAohI5VIJVKJVCKVSCVSmT+pvPJd7xIahFt89S9+4Rb0kEIqhZCRSqQSqUQqkUqkEqnMn1T+nyuvFBqEW/z/rl7tFvSQQiqFkJFKpBKpRCqRSqQSqcyfVG+5kFwAABzaSURBVL579GihQbjFf75qlVvQQwqpFEJGKpFKpBKpRCqRSqQyf1I55t3vFhqEW3zlz3/uFvSQQiqFkJFKpBKpRCqRSqQSqcyfVL5nzBihQbjFf7ZypVvQQwqpFEJGKpFKpBKpRCqRSqQyf1L5vve+V2gQbvE7f/pTt6CHFFIphIxUIpVIJVKJVCKVSGX+pPL973uf0CDc4j+58063oIcUUimEjFQilUglUolUIpVIZf6kcuz73y80CLd4y09+4hb0kEIqhZCRSqQSqUQqkUqkEqnMn1SOHzdOaBBu8eUrVrgFPaSQSiFkpBKpRCqRSqQSqUQq8yeVHxg/XmgQbvEfL1/uFvSQQioTQH5224tq1IRZ6sxBp6qWJc0lCaQSqUQqkUqkEqlEKvMnlRM+8IEEBpH+Jnf8+MfpF5pSiUhlApDzF78y1Ly0Za1ac8dcdfLAE4oppBKpRCqRSqQSqUQq8yeVEz/4wQQGkf4my370o/QLTalEpDIByLGT56hrPzpG3fK9leq8swepmVNeXUeBVCKVSCVSiVQilUhl/qTyqokTExhE+pvcvmxZ+oWmVCJSWQaknvqeeO1Nav3Km9XyVfeo225fXfh/80AqkUqkEqlEKpFKpDJ/Uvmhq65KScUqK+aHt99eWcDj1khlGdhm6tuMTg6+aFLJFDhSiVQilUglUolUIpX5k8oPT5rkUddereoHS5fWpN4klSKVZSiNGDNVLbvl+uI6yunNt6oB/fsWp8CRSqQSqUQqkUqkEqnMn1R+5MMfTuJZqW/z/R/8IPUy0yoQqYwhuWHjZjX5ugVHbdG3T1NxChypRCqRSqQSqUQqkcr8SeVHP/KRtFysonK+9/3vV7S9z42Ryhjaeur7+e071cI515RspafAl8yboYYPHaKQSqQSqUQqkUqkEqnMn1R+/GMf8+lrxbq+893v1qTeJJUilTGUtDzOnjZRjR99SclWegpcP7RsIpVIJVKJVCKVSCVSmT+p/MTHP57Es1Lf5tvf+U7qZaZVIFIpJIlUIpVIJVKJVCKVSGX+pHLyJz4hNAi3+JJvf9st6CGFVAohI5VIJVKJVCKVSCVSmT+pnHL11UKDcIsvvu02t6CHFFIphIxUIpVIJVKJVCKVSGX+pPKTU6YIDcIt/q3Fi92CHlJIpRAyUolUIpVIJVKJVCKV+ZPKaz71SaFBuMVv/ea3SoL6omL9M9LmMWnsyJJf/tM/3HLjold/hWfLfUvdKk6QQioTQIrbBKlEKpFKpBKpRCqRyvxJ5bXXlN4ZRqgTieO33PrKxcLmoX9KumVJc/HfwYuM9a8Cjpowq/ijLVpAH350a8n2iStOsCFSmQASUpn8w6Jbt26qe/fuqmfPnoW/pl69VK8jf01N+q9JNfXm5BN/8mlTra2tqq3tyH+P/LW3txf+duzYofbtS6MfjvSB7osU+kG3q62t9Uh7kUqkkvc1Upn886lfv34h54jqfzY1f3GO8IxfGv/0tdemWl7Swr5xyy2xm2rJPO/sQYXRSlsibclMWmfS7ZDKpKQitmOkkpFKRiqRSqQSqUQq8yeV06Z+WmgQbvFFN38jMmik0dwOMXgLRBMK3mvbrQXRKaRSSBSpRCqRSqQSqUQqkcr8SeX0adOEBuEWX7hoUWhQy6J+BNdU6lHLAf2PK/kRl6h7cLu1pjSFVAopIpVIJVKJVCKVSCVSmT+pnPGZ6UKDcIsv+K+FscERY6aqKy4bVpj+ZqTSjXHNUkglUolUIpVIJVKJVOZPKj87Y0ZN3OPrCxbE1hsUSdZU1qSL3CtFKpFKpBKpRCqRSqQyf1J53czPusuDIDlv/tdL0mFXf5spcK7+FoCuRRSpRCqRSqQSqUQqkcr8SeWs62bWQjvU3Hnzj5LKx7c+XXyO+1TWpFvSqRSpRCqRSqQSqUQqkcr8SeXnZs1KRyQqLOVrc+dWmPC3ORfqCFkjlUglUolUIpVIJVKZP6m8/vOfExqEW/ymr37NLeghhVQKISOVSCVSiVQilUglUpk/qfzP6z8vNAi3+Fdu+qpb0EMKqRRCRiqRSqQSqUQqkUqkMn9S+YXZ/yk0CLf4l2/8ilvQQwqpFEJGKpFKpBKpRCqRSqQyf1J5wxdmCw3CLf6lL9/oFvSQQiqFkJFKpBKpRCqRSqQSqcyfVDbf8AWhQbjF53zpy25BDymkUggZqUQqkUqkEqlEKpHK/EnlnC82Cw3CLd78xTluQQ8ppFIIGalEKpFKpBKpRCqRyvxJ5ZfmfFFoEG7xG5prU2+S1iKVSSjFbINUIpVIJVKJVCKVSGX+pPLGL39JaBBu8dlfuMEt6CGFVAohI5VIJVKJVCKVSCVSmT+p/MqNtVnb+J+za7OWM4kuIZVJKDFSqQ4cOKAOHTqkDh8+rNxOoL1UU1OTaurNySf+5NOmWltbVVvbkf8e+Wtvby/87dixQ+3bl/xDu1u3bqp79+6qZ8+ehb+mXr1UryN/hT5oOvLfFPpBt6utrfVIe5FKt/dEeF8MHHii6tGjh9J9eOyxx6rOnTurjh07Fj6F9Pvv4MGDav/+/Wrv3r3K5Vjas2dPIVtvx9O2bc9V9Viqx/cE72u/n01pr0W86aba3Nrn+utrcyujJLqEVCahhFQild6EDKns1KmT6tKli+ratavq169fw4txpTKDVO5Wu3fvVq3678gXLP2lxf6SVa9iXOkXLaSysaXya1+9SWgQbvHPff56t6CHFFIphMz0N9PfTH8zUslIJTMQTH8nn0mp1ZfFtEcq586tzc8lzppVm5+HTKJLSGUSSoxUMlLJSGUF067pjS7V6uRTyxEyRioZqdSnnA4dOhSWPQRH7isd9U73C2/jv6/Tlsr58+YKDcItPvO6WW5BDymkUgiZkcqkH3qsqZSsg2OazO80GVKZ9H2d3hpd1lRK1qyn1w+VTuG7LEWo1ZfFtKXy61+fLzQIt/hnPzvTLeghhVQKISOVSU8+SCVSWfkFIrU6+SCVSd/X6ckMUolUVvsiwrSlcsGCrwsNwi0+Y8Zn3YIeUkilEDJSmfTkg1QilUhlkivxmf5m+pvp71fW6GrJTHMKP22pXLjwv4QG4RafPv0zbkEPKaRSCBmpRCrT/NDTV7pySyGu/uaWQlz9zZrK+pfKRYsWCg3CLT5t2nS3oIcUUimEjFQilUglV39z9TdXf3P1d/6u/v7GN24WGoRb/NOfnuoW9JBCKoWQkUqkEqlEKpFKpBKpzJ9U3nLLN4QG4Ra/9tpPuwU9pJBKIWSkEqlEKpFKpBKpRCrzJ5Xf/OatQoNwi3/qU9e4BT2kkEohZKQSqUQqkUqkEqlEKvMnld/61jeFBuEW/+QnP+UW9JBCKoWQkUqkEqlEKpFKpBKpzJ9U3nbbYqFBuMWvvnqKW9BDCqkUQkYqkUqkEqlEKpFKpDJ/UrlkyW1Cg3CLT558tVvQQwqpFEJGKpFKpBKpRCqRSqQyf1L5ne98W2gQbvGPf/wTbkEPKaRSCBmpRCqRSqQSqUQqkcr8SeX3vvddoUG4xT/60Y+5BT2kkEohZKQSqUQqkUqkEqlEKvMnld///veEBuEW/8hHPuoW9JBCKoWQkUqkEqlEKpFKpBKpzJ9ULl36A6FBuMUnTfqwW9BDCqkUQkYqkUqkEqlEKpFKpDJ/UvnDHy4VGoRb/EMfmuQW9JBCKoWQkUqkEqlEKpFKpBKpzJ9ULlt2u9Ag3OITJ17lFvSQQiqFkJFKpBKpRCqRSqQSqcyfVN5xx4+EBuEWnzDhg25BDymkUggZqUQqkUqkEqlEKpHK/Enlj398h9Ag3OIf+MAEt6CHFFIphIxUIpVIJVKJVCKVSGX+pHLFiuVCg3CLjxs33i3oIYVUCiEjlUglUolUIpVIJVKZP6lsaVkhNAi3+Nix49yCHlJIpRAyUolUIpVIJVKJVCKV+ZPKO+/8idAg3OLve9/7S4LTm29V69Y/XHxu0tiRauaUV8Vz8EWTjqpoybwZavjQIW4NiEkhlUKkSCVSiVQilUglUolU5k8qf/aznwoNwi3+nve8tyQ4dvIc1bKkufDcs9teVKMmzFJBadRSWS2JtPcAqXTr02IKqUQqkUqkEqlEKpHK/EnlypU/ExqEW3zMmPfEBkeMmaquvupKNX70JYXtkEo3zjVJIZVIJVKJVCKVSCVSmT+pXLXq5zXxjtGj3x1bry2R9vR3NUctGakUHhJIJVKJVCKVSCVSiVTmTypXr14lNAi3+JVXjo4M6vWVz29/qTgdbm84f/EKtbRlrdpy31K3ysukkEohVqQSqUQqkUqkEqlEKvMnlb/4xWqhQbjF3/WuK0ODWig3bX5SrV95c0UjmW6tCE8hlUKaSCVSiVQilUglUolU5k8qf/nLu4QG4RZ/5zuvOCqYVCirvcYSqXTrUy7UOUKgQ4cOqmNHpBKpRCqRSqQSqcyfVK5Z80uhQbjFR416Z0lQX/2tH+YK8OCLy1fdU/inuWinEvl0aR1S6UItkGGkEqlEKpFKpBKpRCrzJ5Vr164RGoRbfOTIUcWguYWQXVLfPk2FafANGzerydctKHm5WuspdSVIpVufMlLJSKXq3bu3amrqpZBKpBKpRCqRyvxJ5bp1a4UG4Ra//PKRbkEPKaRSCJmRSkYqkUqkEqlEKpHK/Enl3XevExqEW/zSSy93C3pIIZVCyEglUolUIpVIJVKJVOZPKu+5526hQbjFL7nkUreghxRSKYSMVCKVSCVSiVQilUhl/qTy3ntfuQjG9+Pii1/5pZx6fCCVwl5BKpFKpBKpRCqRSqQyf1K5fv29QoNwi48YcbFb0EMKqRRCRiqRSqQSqUQqkUqkMn9Sef/99wkNwi1+4YUXuQU9pJBKIWSkEqlEKpFKpBKpRCrzJ5UbNtwvNAi3+PDhF7oFPaSQSiFkpBKpRCqRSqQSqUQq8yeVv/vdBqFBuMXf+tbhbkEPKaRSCBmpRCqRSqQSqUQqkcr8SeUDD/xWaBBu8WHD3uYW9JBCKoWQkUqkEqlEKpFKpBKpzJ9UPvjgA0KDcItfcMEwt6CHFFIphIxUIpVIJVKJVCKVSGX+pPKhhx4UGoRb/PzzL3ALekghlULISCVSiVQilUglUolU5k8qH3nkIaFBuMXPPfd8t6CHFFIphIxUIpVIJVKJVCKVSGX+pHLTpkeEBuEWP+ecc92CHlJIpRAyUolUIpVIJVKJVCKV+ZPKRx/dJDQIt/jZZ5/jFvSQQiqFkJFKpBKpRCqRSqQSqcyfVD722KNCg3CLn3XW2W5BDymkUggZqUQqkUqkEqlEKpHK/Enl5s2PCQ3CLT5kyFluQQ8ppFIIGalEKpFKpBKpRCqRyvxJ5ZYtjwsNwi0+ePCZbkEPKaRSCBmpRCqRSqQSqUQqkcr8SeUTT2wRGoRb/IwzBrsFPaSQSiFkpBKpRCqRSqQSqUQq8yeVW7c+ITQIt/igQWe4BT2kkEohZKQSqUQqkUqkEqlEKvMnlX/601ahQbjF3/jGQW5BDymkUggZqUQqkUqkEqlEKpHK/Enl//zPk0KDcIv/27+d7hb0kEIqhZCRSqQSqUQqkUqkEqnMn1Q+9dSfhQbhFj/ttDe4BT2kkEohZKQSqUQqkUqkEqlEKvMnlc8885TQINzip5xymlvQQwqpFEJGKpFKpBKpRCqRSqQyf1L5l788IzQIt/jrX3+KW9BDCqkUQkYqkUqkEqlEKpFKpDJ/UvnXvz4rNAi3+EknnewW9JBCKoWQkUqkEqlEKpFKpBKpzJ9Ubtv2nNAg3OIDB57oFvSQQiqFkJFKpBKpRCqRSqQSqcyfVL7wwvNCg3CLv+51A9yCHlJIpRAyUolUIpVIJVKJVCKV+ZPKF1/cLjQIt/gJJ/R3C3pIIZVCyEglUolUIpVIJVKJVOZPKnfs+JvQINzi/fod7xb0kEIqhZCRSqQSqUQqkUqkEqnMn1S+9NJOoUG4xY87rq9b0EMKqUwBcvveg6r95UMplEQRrgR69+iiDhw8rPbuP+xaBLkUCHTudIzq3b2z2tG6P4XSKEJCoF/vrmp3+3518PC/JMWQFRLo3rWT6tSxg2rdc1BYEnEpgQHHvUZaREn+73/flWp5SQt77Wv7JN3U+3ZIpXfkVAgBCEAAAhCAQKMTaG3dXZNdaGrqXZN6k1SKVCahxDYQgAAEIAABCEAgQKC9va0mPHr27FWTepNUilQmocQ2EIAABCAAAQhAIEDgH/9orwmPHj161qTeJJUilUkosQ0EIAABCEAAAhAIENi7d09NeHTr1r0m9SapFKlMQilkm2e3vahGTZhVfGXJvBlq+NAhjqURS0Jg8EWTVBjnEWOmqp27WgtFTBo7Us2cMq5YHP2UhGyybYKcdcLui+Wr7lE3LlpWLGzLfUtLCo7rp2QtYCtNYMPGzWrydQuKMM4cdKpqWdKc+Jgv109QdiOgj+/+/fqU9MX05lvVuvUPFwq0+0k/x3vCjXW9pPbte7kmTenaNd0LjtLcCaTSkab+MLj6qivV+NGXFD/k7ZOoY9HELALBD15bZPSHtn4snHNN4b+2eNJP6RxOWs4XfvvOImcjJuaYN/K+5o656uSBJ6j5i1eohx/dWjzBluundFqZj1I022HnDi5+iR07eY4a0P+4Yt/EHfPl+ikfBNPfS81cP4JSqd8jt92+Wq1feXPhNd1P5509qPill/dE+v3gu8QDB2pzl4suXY71vauJ60MqE6N6dUMzUhCUyOAHuUORRMoQMCdDWyptiQx+UNNP1TusysmJ/XpcP1WvlfkoOSjw5Y55W/btfsoHsXT3Usvi6FHD1XMv7Cj5ImVLpC2ZvCfS7YdalHboUG1uE9WpU+da7G6iOpHKRJhKN7I/HMK+hToUSySGQJhUhp0QgydN+ql6h5QtL/aoi67ZnDRPHnh8YamIGcXUr9lyU72WZr9k/YX2nCGnF0Yqyx3zcf3E8p3Kj5WgONrHtD3QEHzPlPvsqrwlJGpB4J//rM19kY85pmMtdjdRnUhlIkylG+kPj7t+9UBxWsNIZXAKyqFYIhVKpfmQtmXF9A39VL1DSp8wr7hsWHEqz56CNVI5e9pEddKA4wtrAKP6qXqtzHbJmvnjW58uWatX7piP6ye9lIdHcgK2oNtSqb9U6ePfcA1+Xj277W+8J5KjZssGIoBUOnRWudEAhyKJlCHASGX9HCLBkTHTKkYqa9c/mv3z218qrF8t99nESGV6/WRfuGZK7tunqTDgwEhleqwpqXEIIJUOfVVu3ZJDkUQcpNKMhgXXWbKmsrqHUphQ6hrLrdVj/Vj1+iUokuU+m8r1U/Vamf2Sbbasqcx+n7OHRxNAKh2PCq4qdgTnGIu6UKfcFZT0kyPwkJgWQ/uWTWazchfulOun9FqZ/ZK0rARvIaT/rR/mOa7+rs0xYEslV3/Xph+otbYEkEpH/tz/0BGcQ8yeZrLv98Z9Kh2gVhix721o4pePOO+o2wyZ17hPZYWQE26u5WVpy9ri1tynMiG4Km8WdvEZ96msMnSKrzsCSGXddQkNggAEIAABCEAAAo1HAKlsvD6jxRCAAAQgAAEIQKDuCCCVddclNAgCEIAABCAAAQg0HgGksvH6jBZDAAIQgAAEIACBuiOAVNZdl9AgCEAAAhCAAAQg0HgEkMrG6zNaDAEIQAACEIAABOqOAFJZd11CgyAAAQhAAAIQgEDjEUAqG6/PaDEEIAABCEAAAhCoOwJIZd11CQ2CAAQgAAEIQAACjUcAqWy8PqPFEIAABCAAAQhAoO4IIJV11yU0CAIQgAAEIAABCDQeAaSy8fqMFkMAAhCAAAQgAIG6I4BU1l2X0CAIQAACEIAABCDQeASQysbrM1oMAQhAAAIQgAAE6o4AUll3XUKDIAABCEAAAhCAQOMRQCobr89oMQQgAAEIQAACEKg7Akhl3XUJDYIABCAAAQhAAAKNRwCpbLw+o8UQgEADERh80SQ1e9pENX70JQ3UapoKAQhAoHICSGXlzEhAAAJCAstX3aNuXLTsqFImjR2pZk4ZV3j+2W0vqlETZjW8kCGVwoOFOAQg0DAEkMqG6SoaCoHsEDBSueW+pcWd2rBxs5p83YKGl0i7l5DK7By37AkEIBBPAKnkCIEABLwTCJNK3QhbwKL+fdvtq9XOXa2FdgdHN8N2xMjqknkzCtJqHvrfw4cOKfxzevOt6vntL6mWJc3F1+cvXqHu+tUDav3KmwvPmX9fcdkwtbRlbXE7LcY6v279w4Xn+vZpKmaC+xQcmQ1rs95X84gqw+y3/br3DqRCCEAAAiEEkEoOCwhAwDuBMKkMey5MKnVj19wxV5088AQVFEYjiPbOmG2CIqYFUYuhGSlNKpU6ExTCEWOmFuQ2uGZSP6fF00zjG1k0dYW12d5Puz2mDLPf3juMCiEAAQgkIIBUJoDEJhCAQLoEotZURo3QmYtcwqaStcRdfdWVkRfCGIkLCplZr2meSyqVwZFLTSQsp5/Tj4Vzrin8N6zNYyfPUQP6H1fYRgvu89t3FrfXGbt9TKGne/xRGgQgUB0CSGV1uFIqBCAQQyBq+ttMI5tRvXLT4boKe2TQrjZOKs0UeNpSGZxKDxPCYH1aMB/f+nQoLdM+pJK3EwQg0AgEkMpG6CXaCIGMEYiSSjNCFyVTUSOVwenmRpRKM2oZ1c1IZcbeAOwOBDJKAKnMaMeyWxCoZwL1JpV6CvrhR7cmulDHXLij+UZNf5cbqdSjk+edPaiw7tK+ICis35DKej6aaRsEIGAIIJUcCxCAgHcCUVKpZWv7jl3Fq6d9TX+b9pg1lmbE1L64J+mayjipjKrr8hHnlayr1Czm33B14YIkpNL7IUqFEICAAwGk0gEaEQhAQEYg6kKdMwedWjJa6Esqzahj8LZAeko97JZCLiOVWk7NLZB0XWFXcQdvKaS3CbJAKmXHG2kIQMAPAaTSD2dqgQAEIAABCEAAApkmgFRmunvZOQhAAAIQgAAEIOCHAFLphzO1QAACEIAABCAAgUwTQCoz3b3sHAQgAAEIQAACEPBDAKn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FrequencyRelative Amplitude
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SYSTEM TIMEratiocaption
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110.00.308391
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" ], "text/plain": [ " SYSTEM TIME ratio caption\n", "0 0.0 0.333333 \n", "1 10.0 0.308391 \n", "2 20.0 0.285576 \n", "3 30.0 0.264622 \n", "4 40.0 0.245345 \n", "5 50.0 0.227592 " ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.get_saved_values()" ] }, { "cell_type": "code", "execution_count": 43, "id": "212cbeb8-d7a6-4b55-a3e1-03f62d585fab", "metadata": { "tags": [] }, "outputs": [], "source": [ "for i in range(10):\n", " bio.diffuse(total_duration=10, n_steps=100)\n", " frequency_data = bio.frequency_analysis(chem_label=\"A\")\n", " ratio = frequency_data.loc[10, \"Relative Amplitude\"] / frequency_data.loc[0, \"Relative Amplitude\"]\n", " bio.save_value(data_snapshot={\"ratio\": ratio})" ] }, { "cell_type": "code", "execution_count": 44, "id": "b35e262b-201d-45f7-9c51-a01930d7c7f8", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Bin number=%{x}
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"gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "System snapshot at time t=150" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 499 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 23.20085453584682, 36.41527707047348 ], "title": { "text": "[A]" }, "type": "linear" } } }, "image/png": 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", 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SYSTEM TIMEratiocaption
00.00.333333
110.00.308391
220.00.285576
330.00.264622
440.00.245345
550.00.227592
660.00.211230
770.00.196140
880.00.182216
990.00.169363
10100.00.157493
11110.00.146526
12120.00.136390
13130.00.127020
14140.00.118354
15150.00.110337
16160.00.102919
17170.00.096052
18180.00.089695
19190.00.083806
20200.00.078351
21210.00.073296
22220.00.068611
23230.00.064267
24240.00.060238
25250.00.056500
26260.00.053032
27270.00.049813
28280.00.046824
29290.00.044048
30300.00.041469
31310.00.039073
32320.00.036846
33330.00.034775
34340.00.032849
35350.00.031057
36360.00.029389
37370.00.027836
38380.00.026390
39390.00.025043
40400.00.023788
41410.00.022618
42420.00.021526
43430.00.020508
44440.00.019558
45450.00.018671
46460.00.017842
47470.00.017068
48480.00.016345
49490.00.015668
50500.00.015035
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" ], "text/plain": [ " SYSTEM TIME ratio caption\n", "0 0.0 0.333333 \n", "1 10.0 0.308391 \n", "2 20.0 0.285576 \n", "3 30.0 0.264622 \n", "4 40.0 0.245345 \n", "5 50.0 0.227592 \n", "6 60.0 0.211230 \n", "7 70.0 0.196140 \n", "8 80.0 0.182216 \n", "9 90.0 0.169363 \n", "10 100.0 0.157493 \n", "11 110.0 0.146526 \n", "12 120.0 0.136390 \n", "13 130.0 0.127020 \n", "14 140.0 0.118354 \n", "15 150.0 0.110337 \n", "16 160.0 0.102919 \n", "17 170.0 0.096052 \n", "18 180.0 0.089695 \n", "19 190.0 0.083806 \n", "20 200.0 0.078351 \n", "21 210.0 0.073296 \n", "22 220.0 0.068611 \n", "23 230.0 0.064267 \n", "24 240.0 0.060238 \n", "25 250.0 0.056500 \n", "26 260.0 0.053032 \n", "27 270.0 0.049813 \n", "28 280.0 0.046824 \n", "29 290.0 0.044048 \n", "30 300.0 0.041469 \n", "31 310.0 0.039073 \n", "32 320.0 0.036846 \n", "33 330.0 0.034775 \n", "34 340.0 0.032849 \n", "35 350.0 0.031057 \n", "36 360.0 0.029389 \n", "37 370.0 0.027836 \n", "38 380.0 0.026390 \n", "39 390.0 0.025043 \n", "40 400.0 0.023788 \n", "41 410.0 0.022618 \n", "42 420.0 0.021526 \n", "43 430.0 0.020508 \n", "44 440.0 0.019558 \n", "45 450.0 0.018671 \n", "46 460.0 0.017842 \n", "47 470.0 0.017068 \n", "48 480.0 0.016345 \n", "49 490.0 0.015668 \n", "50 500.0 0.015035 " ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.get_saved_values()" ] }, { "cell_type": "code", "execution_count": 49, "id": "081c9a94-8a0b-4e02-9f6b-ad7155ca4da7", "metadata": { "tags": [] }, "outputs": [], "source": [ "for i in range(50):\n", " bio.diffuse(total_duration=10, n_steps=100)\n", " frequency_data = bio.frequency_analysis(chem_label=\"A\")\n", " ratio = frequency_data.loc[10, \"Relative Amplitude\"] / frequency_data.loc[0, \"Relative Amplitude\"]\n", " bio.save_value(data_snapshot={\"ratio\": ratio})" ] }, { "cell_type": "code", "execution_count": 50, "id": "ef5c63df-bbfe-4b44-b2f0-5920c1f1ceef", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Bin number=%{x}
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", 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SYSTEM TIMEratiocaption
00.00.333333
110.00.308391
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............
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nTNQlYPIkN83bZPLEpU4ygfDbDlj+hp4CAQhAAAIQyE7AOalMes81Upk9ueEaSVztorpZ2+ZYzSvHJuOrs9zMFK2CAAQgAIHJRMApqaz2vlOk0q7b2YiW3Z7Lr21zrMFi3WnfU13+0bFHCEAAAhCAgJsEnJLKau80Rird7ECTsVX11NcmY/44JghAAAIQGB8CTkmlmXrcb+GecvGy48bQSPqiD177FVSYM2uGrLjx0jH1w/fMBT8005yrXl4dWz4aIBjBCn8eN5oViHFcubgYplw0TrV7KoP7TYP4ixftL6cce2jN3hP3erSA6TXf/JIccPhplRhJDKM7MW0xWxxvE/uxp56VNPcnxjEzcZdfe75stcVcfx8Bu7i2BfsKWCS9Ci7KLuk4g31decHJsveCXWuypQAEIAABCEAAAiLOSGUgUklf5HFSGScucZ8lTWkaiU0jUIGkhNsW9w7mOMky+37g4Sd9UTb/vnn5vXL9lUsrfS+ubXFSGdwaEL7fL/gsScTDHTxJKo34RRlUk/twzCSuWR80Miznz5szSo7j+AZxw8cbHFdYzOOONXqvZDV21W7D4KIBAQhAAAIQgEA8AWekMhCU8OhUuMlRqawmLlEpSpKktNOcSeVMm9/3rl380bSk0bE0Hc/I6Dt33b4yQht3bNXacPYl14wa1YvbZ7WRyuhIY7XbEOJGK+dtOmuUKJv6Dz36dKoR4CQ+gdhFR3HDErnl/M1kyakXSXS0Nnqs1fqKKRs30hvNSZo8UgYCEIAABCBQzwSckcpABJKmS6NSVU3iwmWrCUVaqQwkq9pTwWljmc5mJDe6hWPHtTlJjGuN8Ab7KUoqk0YFw6IXvUXBtCnKMu72BFMubno/PF0el5NomwJBNfHSTmkjlfV8WeTYIQABCEAgD4EJK5W1HuoJ7uerdn9cFhGMu+8vLDxGQqIjdtGEBDGi09XRulGpDEtRUpJrPa1clFQGkhwcU61fDuLaH7cuaa0p6KBO3C8hcceaxDDplxikMs/lhDoQgAAEIFDPBJyRyqzT32lHKrWkMtpJAqkJRr7SCGrSaGMtqQzELe1DOXEdukipDItkVhlLGkmuJpVZRyrjeAT9Imn0Oetx1PNFhGOHAAQgAAEIGALOSGWtady891RqrH1pJCb6RHpUhqpJrvnZoo98wH/COk4M00hlGmmt1qWLlMrwQy+3r3iw5v2d4XYmSX9S3sIPTf3p+ZfE3E8aHfmNHqvZh7n/MvokdxLTWqOkXDogAAEIQAACEBhLwBmpjE6jRpta7env8MM9cU9/xz1JHIhHmqe/46Za42LGPU0eHvGKezo8iF3rnsq4p78DRiaGWRYoWH6n7JFKs7+kqf1aJ13cU9jhqeqwhAciH/4s2G+1p78DcQ3Xq/b0N0sK1coaP4cABCAAAQg4LpW17pOMW1My7TqV0XsijWA8+MhTPpHwEj9JnSTu4Zq4+/ECqQ3iRKdXo2slGiE+4vhzRt2PmWWdSrOfNK8VLHKk0rTBRsSi9zsa0Q/WzgxEsNp0dcC02jqVcQ8LJd1OYDsqzIUGAhCAAAQgUI8EnBqpLHvakfvm9Lp8mgeV9PZWXCRe01gcWyJDAAIQgMDkJuCUVBrUcQuN26YgvAB5EMtmXUnb9ky2+pNJxKKLpE+2XHE8EIAABCAAgaIIOCeV5kDjlpixAZD0esQ0rxC02W+91K32usaJwiC8Tib9YqJkjXZCAAIQgIBLBJyUSpcA0RYIQAACEIAABCAAgdoEkMrajCgBAQhAAAIQgAAEIFCDAFJJF4EABCAAAQhAAAIQsCaAVFojJAAEIAABCEAAAhCAAFJJH4AABCAAAQhAAAIQsCaAVFojJAAEIAABCEAAAhCAAFJJH4AABCAAAQhAAAIQsCaAVFojJAAEIAABCEAAAhCAAFJJH4AABCAAAQhAAAIQsCaAVFojJAAEIAABCEAAAhCAAFJJH4AABCAAAQhAAAIQsCaAVFojJAAEIAABCEAAAhCAAFJJH4AABCAAAQhAAAIQsCaAVFojJAAEIAABCEAAAhCAAFJJH4AABCAAAQhAAAIQsCaAVFojJAAEIAABCEAAAhCAAFJJH4AABCAAAQhAAAIQsCaAVFojJAAEIAABCEAAAhCAAFJJH4AABCAAAQhAAAIQsCaAVFojJAAEIAABCEAAAhCAAFJJH4AABCAAAQhAAAIQsCaAVFojJAAEIAABCEAAAhCAAFJJH4AABCAAAQhAAAIQsCaAVFojJAAEIAABCEAAAhCAAFJJH4AABCAAAQhAAAIQsCaAVFojFHn+1V6FKISwJdDe2iSdbU2yel2fbSjqKxBobGyQzWa0yarX1itEI4QGgXmzOuSl13plaFgjGjFsCcya1io96wdkff+QbSjqKxGYP7tDKVJ9hkEqFfKOVCpAVAiBVCpAVAyBVCrCVAqFVCqBVAqDVCqBVAyDVNrBRCrt+Pm1kUoFiAohkEoFiIohkEpFmEqhkEolkEphkEolkIphkEo7mEilHT+kUoGfVgikUoukThykUoejZhSkUpOmfSyk0p6hdgSk0o4oUmnHD6lU4KcVAqnUIqkTB6nU4agZBanUpGkfC6m0Z6gdAam0I4pU2vFDKhX4aYVAKrVI6sRBKnU4akZBKjVp2sdCKu0ZakdAKu2IIpV2/JBKBX5aIZBKLZI6cZBKHY6aUZBKTZr2sZBKe4baEZBKO6JIpR0/pFKBn1YIpFKLpE4cpFKHo2YUpFKTpn0spNKeoXYEpNKOKFJpx0/krLPkpX0PlIG37WQbifqWBJBKS4DK1ZFKZaAK4ZBKBYiKIZBKRZhKoZBKO5BIpR0/kYYGkaYm6V58tKw946syPH2GbUTq5ySAVOYEV1A1pLIgsBZhkUoLeAVURSoLgGoZEqm0A4hU2vETOf10kfPP96MMbTJL1p12pnQffYxtVOrnIIBU5oBWYBWkskC4OUMjlTnBFVQNqSwIrEVYpNICnlcVqbTj59d+8YFHZeYpJ0jbPXf5/22mwl+79HLp3+NdCtEJkZYAUpmWVDnlkMpyOGfZC1KZhVbxZZHK4hln3QNSmZXY6PJIpR0/v3bwRp32234kM848VZr+8Kz/ee/BH5M1Z50rQ/M2V9gLIWoRQCprESr350hlubzT7A2pTEOpvDJIZXms0+4JqUxLKr4cUmnHb5RU+v+xYYNM/dYlMu2SC6Whp0eGp0yRdSeeIl2fPUGkrU1hb4RIIoBUutU3kEq38mFag1S6lROk0q18mNYglXY5QSrt+I2Vyo3xGle9IDO+fJp03PQD/5PBrbeRNWdfIOs//FcKeyREHAGk0q1+gVS6lQ+k0r18IJXu5QSptMsJUmnHL1Eqg7CtP79fZp58vDT/5gn/ow1/8QF5/cJLZXDb7RT2TIgwAaTSrf6AVLqVD6TSvXwgle7lBKm0ywlSacevplT6BYaGZMp3/k2mn3uWNLz+mkhLi3R95nOy7tQz/OlxNh0CSKUOR60oSKUWSb04TH/rsdSIhFRqUNSNgVTa8UQq7filk8qN+2h4bbXMOHupdF7zHV80h+bOk7VfPkt6Fh0+st4lmxUBpNIKn3plpFIdqXVApNIaoWoApFIVp0owpNIOI1Jpxy+TVAa7an7s17KJNyXe8stf+B/1v2N3fwmigV3ertCa+g2BVLqVe6TSrXyY1iCVbuUEqXQrH6Y1SKVdTpBKO365pDLYZccPrpMZXz1DzEM9ZqSy5+NHytqvfE2GZs9RaFX9hUAq3co5UulWPpBK9/KBVLqXE6TSLidIpR0/K6k0lRu6u2XaRefJ1Cu+KdLX57/mca13r6X/Vp7mZoXW1U8IpNKtXCOVbuUDqXQvH0ilezlBKu1yglTa8bOWymD3ZsH0mV847o238nhPh7/+T9+Svve9X6GF9RECqXQrz0ilW/lAKt3LB1LpXk6QSrucIJV2/NSkMmhG+//82F/fsun3v/M/Wn/gR/z1LQe33EqhpZM7BFLpVn6RSrfygVS6lw+k0r2cIJV2OUEq7fipS6UfsL9/5K08F1/gT49Le7usO+4k/8085t9s8QSQSrd6BlLpVj6QSvfygVS6lxOk0i4nSKUdv2KkcmOb/LfyLP2SdNxwvf/J4BZvkrXLzpXegw5RaPXkC4FUupVTpNKtfCCV7uUDqXQvJ0ilXU6QypT8Fi1ZJo899axfer+Fe8rFy46r1Hz+1d6UUfIVM0sPbXLCsZW38vS9ey95/ZJ/kYHtd8gXcJLWQirdSixS6VY+kEr38oFUupcTpNIuJ0hlSn4XXn6dnHLsoX7pnfdZLMuvPV+22mJuoSOVo5pm3srz3W/LtHOWSaO3iLo0NUn3UZ+WtV9a6j8xzubdGdDaJJ1tTbJ6XR84HCCAVDqQhEgTWKfSrZwglW7lw7QGqbTLCVKZg9/Cg0+QFTdeWtpIZbiJDWvXyPSvfUWmXP0f3nz4oAzNmi1rz/iq9BxxlEhjY46jmTxVkEq3colUupUPRirdywdS6V5OkEq7nCCVGfmZEUuzBaOW5t/d6wcyRrEv3vjE49J27Gek8YEH/GBDO+0sGy7/VxlasMA++ASN0NzUKM1NDbK+b3CCHsHkanaDt6B/hzd63LOh/PNjcpHUO5rO9mbp9fIxPKwXk0j5CZhfhAcGhmRgiITkp6hbc4p3jrDlJ4BUZmAXJ5Sm+uvd/Rmi6BZt+f710nnG6dLw/Eo/cN/HDpXec86X4Xmb6+5oAkRr8YSytblRujcglS6kq9F7nf20jmZZ04NUupAP04YZnS2yrqdfhlxpUJ23Y4p3u06fJ5X9g0ilK11h5pQWV5oyIduBVKZM20lLL5P58+aMGqEMqhb9oE6tJjb09Mi0fzpfpl7+zyIbNsjwlCmy7qRTpetzJ4q01M8JwvR3rZ5S7s+Z/i6Xd5q9cU9lGkrllWH6uzzWaffE9HdaUvHlkMoU/J5b+aIccPhpo0qeeeIRcthB+/qfjbdUBg3z38rzxZOl7Y7b/I8G37K1vH7ON2TDfgekOMqJXwSpdCuHSKVb+TCtQSrdyglS6VY+TGuQSrucIJV2/JySyuBQ2u65y3/lo5FMs5kliNac90/Sv+s7FI7W3RBIpVu5QSrdygdS6V4+kEr3coJU2uUEqbTj56RUBoc09Z8v8qbFvbfydK3zP+r96GGy9sxl/iLqk3FDKt3KKlLpVj6QSvfygVS6lxOk0i4nSKUdP6el0jSu4fXXZNpF53n3W36zcqRd5pWPJ58mw9OmKxy9OyGQSndyYVqCVLqVD6TSvXwgle7lBKm0ywlSacfPeakMDq/puT/K9LO/Ih03/UDMeiLDMzeRdV84TbqOPkaktVWBwviHQCrHPwfhFiCVbuUDqXQvH0ilezlBKu1yglTa8ZswUhkcZssjD/nvE2+97x7/o8Gt3ixrT/+y9H7s4wokxjcEUjm+/KN7RyrdygdS6V4+kEr3coJU2uUEqbTjN+GkMjjcttuXy4xlZ0rzU0/6H5mHeMzDPOahnom6IZVuZQ6pdCsfSKV7+UAq3csJUmmXE6TSjt+ElUq/4d77xDuv/a5MP+9r0vjiKv+j9d7yQ2vPOk8GtttegUy5IZDKcnnX2htSWYtQ+T9nSaHymVfbI1LpVj5Ma5BKu5wglXb8JrZUBsfe2yvTvnWJTP3mxdLQ3SXS5L1a7/BP+NPiQ5vNVSBUTgikshzOafeCVKYlVV45pLI81mn2hFSmoVRuGaTSjjdSacdvckjlRgaNr7ws084/W6Zc8x3xXkjrv5mn67MniHla3Pzb9Q2pdCtDSKVb+TCtQSrdyglS6VY+GKm0zwdSac/QmTfqKByKH6L5madl+llnSvuP/9v/bzNaufbUM6TniKP8UUxXN6TSrcwglW7lA6l0Lx9IpXs5YaTSLidIpR2/STVSGUXR8stfyMzTThLzxLjZBrbfQdYuPVvW73+gAjX9EEilPlObiEilDb1i6jJSWQzXvFGRyrzkiquHVMQNmucAACAASURBVNqxRSrt+E1qqQzQtP/wRpnhrXHZ9Ozv/Y/81z5+/ULp3+2dCvT0QiCVeiw1IiGVGhR1YyCVujxtoyGVtgT16yOVdkyRSjt+dSGV/kH298uU7/yb/3aexldf8T/qPegQWfuVs/21Ll3YkEoXsvBGG5BKt/JhWoNUupUTpNKtfJjWIJV2OUEq7fjVj1Ru5GTeIz7t4gtl6pWXeesPrfffxtP9yc/I2n/8ov+WnvHckMrxpD9230ilW/lAKt3LB1LpXk6QSrucIJV2/OpOKgNcjate8F77uFQ6/+v/+etdDk+fIetOOkW6Pv1ZkfZ2BarZQyCV2ZkVWQOpLJJuvtiMVObjVlQtpLIosvnjIpX52ZmaSKUdv7qVygBb85OPy4yvfFHa7vqJ/9Hgm7aUtV9aKr0fPczrXQ0KdNOHQCrTsyqjJFJZBuVs+0Aqs/EqujRSWTTh7PGRyuzMwjWQSjt+dS+VAb7W+34qM0//ghjJNNvAjjvL6+a1j+97vwLhdCGQynScyiqFVJZFOv1+kMr0rMooiVSWQTnbPpDKbLyipZFKO35IZZjf8LB0Xn+tTDv3LGla+Wf/Jxv23U/WfM177eNb36ZAunoIpLJwxJl2gFRmwlVKYaSyFMypd4JUpkZVWkGk0g41UmnHD6mM4+c9wGMe5Jl26UXSsHaNSGOj9Bz6D/60+NC8zRWIx4dAKgtDmyswUpkLW6GVkMpC8WYOjlRmRlZ4BaTSDnFdSuVJSy+T21c86JPbZYet5forl9akeO8Dj8qSUy+Sx+++akzZ51/trVm/Hgs0rn5Vpn3jXH8pIrMk0XBHh3Qfc7ysO+FkGZ46TR0JUqmO1CogUmmFr5DKSGUhWHMHRSpzoyusIlJph7bupPJ7N98pV1x9i6y48VKf3KIly2TP3XaQU449NJbkcytflAMOP63yM6Qye4dreu6PMn3ZGdLhLaJutqE5m8o6bwmi7sVHe++EbM4eMKEGUqmGUiUQUqmCUTUIUqmK0zoYUmmNUD0AUmmHtO6kMiqRUclMwmnKnX3JNYxUWvQ387pH/7WP3usfzTaw7Xay9stfk/V//bcWUd+oilSqYFQLglSqoVQLhFSqoVQJhFSqYFQNglTa4aw7qVx48AlyzJEfkcMO2tcnV21aO4wWqbTraOHa7ctvlelnfVman37K/7h/j3fJ6+d8w//bZkMqbejp10Uq9ZnaRkQqbQnq1kcqdXlqREMq7SjWnVTuvM9iOfPEI8ZI5fJrz5ettpibSLOaVHavH7DLQj3WHhyU5v/4trR+/SxpePFFn8DgQX8nG75+rgxvs20uIk1NjdLS1CDr+wZz1aeSLoEGb53SjtYm6dnA+aFLNn+0zvZm6fWuV8P5Q1BTkYD5Rbh/YEgGh8iIIlarUFO8c4QtP4G6k8oiRirXdPfnz0C91+zulvZLLpK2f75YxPu3tLRI3yc/Leu/9GUZnj07Ex0jlC3N3pPmG5DKTOAKKmzWvp/W0Sxre5DKghBnDju9s0XW9XoPzeEwmdkVUaGzbUQq+wdJSBF888ScMaUlTzXqbCRQd1LJPZVu9v3Gl16U6ed9TTqv/a43ZDkow9Omy7rPf0G6jv186tc+Mv3tVm6Z/nYrH6Y1TH+7lROmv93Kh2kN0992Oak7qaz19PeFl18nV11/25gHcrin0q6jpa3d/MzTMv0rp0v77cv9KkObz5e1X/yKv86lWe+y2oZUpqVcTjmkshzOWfaCVGahVXxZpLJ4xln3gFRmJTa6fN1JpTn8autURqUyuqSQqb940f6jliBinUq7ThhX27z2ccYZp0jLY7/2fzzwtp28J8XPkvUf/qvEnSGV+nmwiYhU2tArpi5SWQzXvFGRyrzkiquHVNqxrUuptEM2tjZSqU10Yzzvxq+OG78v08/5qjT98Q/+h+Zd4uad4ubd4tENqSwoDznDIpU5wRVYDaksEG6O0EhlDmgFV0Eq7QAjlXb8/NpIpQLEaiG8t/FM+faVMu2fzhfzlh7xngDp+djH/ZHL8GsfkcqC85AxPFKZEVgJxZHKEiBn2AVSmQFWSUWRSjvQSKUdP6RSgV/aEA3r1npieYFM/bd/EfHeLy5tbdJ95Ce91z7+oy+XSGVakuWUQyrL4ZxlL0hlFlrFl0Uqi2ecdQ9IZVZio8sjlXb8kEoFfllDNK38s0z/2lek4wfXVap2f2qJ9H3RexXklvNl9bq+rCEpXwABpLIAqJYhkUpLgMrVkUploArhkEo7iEilHT+kUoFf3hDNz/xWpl14rnTc9H3vMfEhkY4OGfjMMfLKZ0+Sodlz8oalnhIBpFIJpGIYpFIRpkIopFIBonIIpNIOKFJpxw+pVOBnG8KXy/PPlo4f3ujL5XBnp3R/col0HY9c2rK1qY9U2tArpi5SWQzXvFGRyrzkiquHVNqxRSrt+CGVCvy0Qkz5/W9lqieXTTfeIOaVIcNTpkj30cfKuuNOlOFNZmnthjgpCSCVKUGVWAypLBF2il0hlSkglVwEqbQDjlTa8UMqFfhphQge1Fn74K9k+rlnSfuPbhmRy6nTpOszn5Wuz50gwzNmau2OODUIIJXudRGk0q2cIJVu5cO0Bqm0ywlSaccPqVTgpxUi+vR38xOPjcjl8lv9XZhXP3Yt+Zz36sfjkUst6FXiIJUlQM64C6QyI7CCiyOVBQPOER6pzAEtVAWptOOHVCrw0wqRtKRQy68f8e+5bP+fH4/I5fQZ0nXMcSNy6YkmWzEEkMpiuNpERSpt6OnXRSr1mdpGRCrtCCKVdvyQSgV+WiFqrVNp5NKMXLbdcduIXM7cxBfLriXHeVPkU7WaQZyNBJBK97oCUulWTpBKt/JhWoNU2uUEqbTjh1Qq8NMKUUsqg/20PPLQiFzeebv/0ZD3EI+539I81INcamVDBKnUY6kVCanUIqkTB6nU4agZBam0o4lU2vFDKhX4aYVIK5UVuXzwAZl+3tek7e47R+TSW9uyy3tSvPtTx/jLErHZEUAq7fgVURupLIJq/phIZX52RdVEKu3IIpV2/JBKBX5aIbJK5Si5/PpXpe2nd4/I5ZxN/TUuu7y1Ls2C6mz5CCCV+bgVWQupLJJu9thIZXZmRddAKu0II5V2/JBKBX5aIfJKZbD/1p/9n0w/+yti/vblcrO5su74L0j34qORyxxJQipzQCu4ClJZMOCM4ZHKjMBKKI5U2kEuXCrvfeBRWXLqRaNaeeUFJ8veC3a1a7lDtZ9/tdeh1tRvU2ylsiKX966Q6d7T4q333zcil3PnyboT/lG6P/Epkba2+gWc8ciRyozASiiOVJYAOcMukMoMsEoqilTagS5UKr93851y9iXXyPJrz5ettpjrt/S5lS/KAYefJmeeeIQcdtC+dq13pDZS6UYitKQyOJq2e+7ylyJq/fn9I3K5+XxZd+Ip0n3EUSKtrW4ctMOtQCrdSw5S6VZOkEq38mFag1Ta5aRQqVx48AlyzJEfGSOPRjavuPoWWXHjpXatd6Q2UulGIrSlsiKXd/1kRC69B3vMNjh/C1n3hdOk5/BPiLS0uHHwDrYCqXQvKUilWzlBKt3KB1Jpn49CpXLnfRZL3FR3MCX++N1X2R+BAxGQSgeS4DWhKKmsyKW3BJGZFm956MERuXzTlrLupFOl5+NHIpcxXQCpdOO8CLcCqXQrJ0ilW/lAKu3zUahUTqaRypOWXia3rxiRCbOFp++RSvuOqBGhaKmsyOXty0fk8lcPj8jlVm8eGbk89B9Emps1DmVSxEAq3UsjUulWTpBKt/KBVNrno1CpnEz3VBqpPOTAhbEPGCGV9h1RI0JZUhm0tf22H8m0C74u5k09vly+ZWtZd/Lp0vOxj4s0NWkc0oSOgVS6lz6k0q2cIJVu5QOptM9HoVJpmjdZnv4Oj1Tut3BPuXjZcRX6SKV9R9SIULZUVuTyx/89IpeP/XpELrfZVtb+4xel95BFdS2XSKVGr9aNgVTq8rSNhlTaEtSvz4M6dkwLl0q75rlZ20zrf/30oyujlt3rB9xsaJ21qqmxQVqaGmV9/+C4HHnTTTdK21lflYbfPOnvf3jb7aTvxC/IwNGfHpf2jPtOGxqks7VJejZwfox7LjY2oLO9WXq4XrmSDmlvaZL+wSEZHBp2pk313pAp3jnClp8AUpmDnRm1XLD7jpWn2td09+eIQhVtAi3NjdLS3OB9aY6PVI6Y5LC03HSDtJ97tjQ++cTIR94bejZ85hjpW/JZGZ49W/uwnY3nOaVM62iWtT1IpStJmt7ZIut6+003ZXOAQGe7J5X9Q55YkhAH0uE3YcYUVvSwyUUhUmme+jYPspg1KqttE+npbyOSwZS3Ob7w2ptMf9t0Qb264zX9nXQEHTdc702LnyPNv3u6UqT7qE9L1+dO9O+/nOwb09/uZZjpb7dywvS3W/kwrWH62y4nhUilXZPcrG2mvF9ZvcZv3OJF+8spxx5aaShS6UbOXJNKn4o3JNR+y00y/RvnSvOTj4+AavSm6Pc/ULqOO0n6FrzHDXgFtAKpLACqZUik0hKgcnWkUhmoQjik0g5ioVKZtE4li5/bJY3a8QSclMpQUztu+C+ZetnF0vLoryqf9r9jd+ny3i/ee9Ahky6tSKV7KUUq3coJUulWPkxrkEq7nIyLVLL4uV3SqD0xpTJodet998i0yy6Rtp/8jz+SabaBbbeXrs9+fmSty0nyfnGk0r0zFal0KydIpVv5QCrt8zEuUnnh5dfJrXfcz2sa7fNHhBAB10cqo8lqfua3MvXSi6TTu/dS+vr8Hw9tupl0f2qJdB19jAzP3GRC5xepdC99SKVbOUEq3coHUmmfD3WpjFuXMq6Zca9vtD+c8YnAPZXjwz2614kmlUH7G19cJVOv/JZM+e63pWHN6/7Hw52d/usf/Yd6ttzKDcAZW4FUZgRWQnGksgTIGXaBVGaAVVJRpr/tQKtLZbg5SfdU2jXZvdpIpRs5mahSGdBr6OqSzmu+4wnmZdL05z+NfOy9maf3bw6Srs+fLP1v380N0ClbgVSmBFViMaSyRNgpdoVUpoBUchGk0g54oVJp17SJUxupdCNXE10qKxQHBqTj5h/I1G9dOuqhnr73vV/WeSOXG/Y7wA3gNVqBVLqXJqTSrZwglW7lw7QGqbTLCVJpx8+vjVQqQFQIMWmkMsSibcX/ek+Mew/13PWTN5xzhx29afETpOejh4m0uLtQL1Kp0KmVQyCVykAtwyGVlgALqI5U2kEtVCqfW/miHHD4aYktnEiLn1fDjFTadUKt2pNRKgM2zU89KdO8h3o6bvq+eK/g8D8emjtPupZ8TsyC6sPTpmthVIuDVKqhVAuEVKqhVAmEVKpgVA2CVNrhLFQqzYLhf/2hvWSvPXaWM87798rT3ouWLJODDti78ppDu0MY/9pI5fjnwLRgMktlQLhx1Qsy9V/+WaZ49142rFvrfzw8dZp0H3mUtyTRCTI0b3M3kuG1Aql0JhWVhiCVbuUEqXQrH6Y1SKVdTgqVyuBBna222EyOOP6cilSaJ8TDkml3CONfG6kc/xzUi1QGpI1QmqfFzVPjjS88P/Jxc7O3iPrfy7qTTpEBb4p8vDekcrwzMHb/SKVbOUEq3coHUmmfj1Kkcu8Fu4oRzGC6m8XP7RNHhLEE6mGkcsxRe1PhZp1L81BP5TWQXqEN++zrvQbSe6jH+3u8NqRyvMgn7xepdCsnSKVb+UAq7fNRqFSaae49d9vBf092+N8sfm6fOCIglVECbXfePvJQz0/vrvyof5e3+3JpRjDNSGaZG1JZJu10+0Iq03EqqxRSWRbp9Pth+js9q7iShUpldIdmtDLYll97vmy1xVy71jtSm+lvNxJRlyOVMeibn3hMpl3yDem45Ubv/Y8DfonBLd4k3UuO8+69/KR3D+bUUhKGVJaCOdNOkMpMuAovjFQWjjjzDpDKzMhGVShVKu2a6m5tpNKN3CCVo/PQ+PxKmfatS6TzP78rDd1d/g+HZ8yU7k98yn9q3Dw9XuSGVBZJN19spDIft6JqIZVFkc0fF6nMz87ULFQqeaOOXXKonY0AUhnPq2HtGpny71fI1G9fKeaVkMFmnhY3gjm47XbZQKcsjVSmBFViMaSyRNgpdoVUpoBUchGk0g44UmnHz6/NSKUCRIUQSGVtiJ3/eZVM/ebF0vy7pyuFN3xof+k69njZ8BcfqB0gQwmkMgOskooilSWBTrkbpDIlqBKLIZV2sAuVysm2HmUSaqTSrhNq1UYq05NsX36rTPnOv0nb/95RqTSw486y5stnqb0GEqlMn4+ySiKVZZFOtx+kMh2nMkshlXa0C5VK80ad8PqUdk11tzZS6UZukMrseWj603PS6S2kPuXa71amxofmbCo9h/6DdB9xlNXUOFKZPR9F10AqiyacLT5SmY1XGaWRSjvKhUpl+GnvuGbymka75FF7NAGk0q5HtP/3zTLFmx43SxMFW9/7/kK6/+ET0mveM55xQyozAiuhOFJZAuQMu0AqM8AqqShSaQe6UKm0a9rEqc1IpRu5Qip18tC08s/+1Hjn/7taGl960Q86NHuO9Cw6XLo/+RkZfMvWqXaEVKbCVGohpLJU3DV3hlTWRFR6AaTSDjlSacfPr41UKkBUCIFUKkAMh/DWuOy49Ycy5ap/l9Z7V1R+4o9eeutd9n7k70RaWhJ3ilQq50MhHFKpAFExBFKpCFMpFFJpBxKptOOHVCrw0wqBVGqRHBun6Q/PypRvXyGd110rja+t9gtURi8XHy2D22w7phJSWVw+8kZGKvOSK6YeUlkMV5uoSKUNvYLXqbRr2sSpzUilG7lCKkvIQ1+fdNz8g5HRywd+Fhq9fP/I6OXfeKOXra3+50hlCfnIuAukMiOwgosjlQUDzhEeqcwBLVSFkUo7fn5tpFIBokIIpFIBYoYQzU896Y1eXimd379OGtat9WsOzZrtPTnu3Xu5+NMyvN12stmMNln12voMUSlaJAGkski62WMjldmZFV0DqbQjjFTa8UMqFfhphUAqtUhmi9PQ0yMdP7hOpnz329Lyq4crlfveu7e0HLtEXtj3byqjl9kiU1qbAFKpTdQuHlJpx6+I2kilHVWk0o4fUqnATysEUqlFMn+clod/6U+Nd9z0fTGy6Y9ebjJrZPTyKO/J8Zh7L/PvjZpZCSCVWYkVWx6pLJZvnuhIZR5qb9RBKu34IZUK/LRCIJVaJO3jNHStkynX/adMv/rbIk88UQnYt9f7Ru69/NtDGL20x5w5AlKZGVmhFZDKQvHmCo5U5sJWqYRU2vFDKhX4aYVAKrVI6sQJHtRZ/eM7R0Yvb71ZZMMGP7gZvexd9HHp+uQSRi91cKeKglSmwlRaIaSyNNSpd4RUpkYVWxCptOOHVCrw0wqBVGqR1IkTffq7wVuKyLwOcsrV/yFNv//dG6OX73mvdH/iU966lweLtLXp7JwosQSQSrc6BlLpVj5Ma5BKu5wglSn5LVqyTB576lm/9H4L95SLlx1XqcnT3ykhFlwMqSwYcMbwiUsKDQ9L24r/9Ucv22/7kYi3yLrZhmdu4r215+PevZefloHt3ppxbxRPQwCpTEOpvDJIZXms0+4JqUxLKr4cUpmS34WXXyenHHuoX9q803z5tefLVlvM9f8bqUwJseBiSGXBgDOGT7NOZeOqF/z3jXde8x0xr4cMtr537yVdnz9Z1n/4rzLuleLVCCCVbvUPpNKtfJjWIJV2OUEqc/BbePAJsuLGSys1kcocEAuoglQWANUiZBqpDIdvu+M2meqte9n2k/+pfDzc2Snr9z9Qeg9ZhGBa5CKoilQqQFQMgVQqwlQKhVTagUQqM/IzI5ZmC0Ytzb8HBoczRqF4EQQaGry3uHj/NzhEPorgmzmml4/mxobs58fKldJ45RXS+N2rRLx/V7aZM2VoyTEy/LcHyfCCBZmbQwUvH0058gG4wgg0eefHkHc7iPc/NkcImHOELT8BpDIDuzihNNVfep03hmTAWFjR1pYm6WhtlDXd/YXtg8DpCTR4gj97Wqu8snbkie88W8u990j7TTdI+43eupevv1YJMTxnU+n92KGywXu4p//d78kTui7rzJnRLq+uWS84jBvpnzGlRXo3DErfwJAbDaIVstnMdihYEEAqU8I7aellMn/enFEjlEFVpr9TQiy4GNPfBQPOGD7r9Het8G23L/eWJfqhdPzwBmno7q4UH5o7T3o+9nFv7UtPMHd7Z60wdf1zpr/dSj/T327lw7SG6W+7nCCVKfg9t/JFOeDw00aVPPPEI+Swg/b1P0MqU0AsoQhSWQLkDLvQlsrKrvv6pN2779K8tafdE82wYA5uvY30HvT30vN3fy8DO+2SobX1URSpdCvPSKVb+UAq7fOBVNozRCoVGGqEQCo1KOrFKEwqw01cv146vGWJOm7+gS+a4v13sA289W2eYB4iPR89TIxssokglW71AqTSrXwglfb5QCrtGSKVCgw1QiCVGhT1YpQilaHmmhHL9h/f4o1geoJ5950i3ohmsPXv8nZfMHv//lAZfNOWegc5wSIhlW4lDKl0Kx9IpX0+kEp7hkilAkONEEilBkW9GGVLZbjlDWvXSMd/3+yNYN4gbT+9u7LAuinTv/seI1Pkh3xMhuZtrnfAEyASUulWkpBKt/KBVNrnA6m0Z4hUKjDUCIFUalDUizGeUjlKML3XQ3bccpN0ek+Qt95/r/fi8Y1P2npPp/cteI8vmGYUc2jTzfQO3tFISKVbiUEq3coHUmmfD6TSniFSqcBQIwRSqUFRL4YrUhk+osaXX/JHL809mK0P/Mx7N+TGxXUaG6Vvr72l5+CPeu8g/zsZ3mSWHgiHIiGVDiXDawpS6VY+kEr7fCCV9gyRSgWGGiGQSg2KejFclMpRgum9IrLzhv/yBbPl4V++8aPmZtnw/n2k13uCvPdvvIXWp03XgzLOkZDKcU5AZPdIpVv5QCrt84FU2jNEKhUYaoRAKjUo6sVwXSrDR9r0xz9Ix42eYHr3Ybb8+pFREDZ8aH/pXnz0pHhNJFKp1781IiGVGhR1Y7BOpR1PpNKOn1+bdSoVICqEQCoVICqGmEhSGT7s5meeHhFMb5q8+be/eeNH7e3S++G/kl5viSLzPvKJuCGVbmUNqXQrH4xU2ucDqbRniFQqMNQIgVRqUNSLMVGlcpRgPv6o/5CP+dP89FOVHw3PmCndRxzlj172v2N3Ge7s1ANXYCSkskC4OUIjlTmgFVyFkUo7wEilHT9GKhX4aYVAKrVI6sSZDFIZJtH07O+l3Vto3bzFx1+mKLRt2Gdf2fCBD8r6fT8kA2/bSQdgAVGQygKgWoREKi3gFVQVqbQDi1Ta8UMqFfhphUAqtUjqxJlsUhmm0tDVJW13/cR/i48RzcZXX6n82CyuvuEvPyTrvT9GNoenTtUBqhAFqVSAqBgCqVSEqRQKqbQDiVTa8UMqFfhphUAqtUjqxJnMUjmKkLcsUcuvHpb2O27z/7Q88tAba2G2tPhrYRrBXL/vfjLgvdlnPDekcjzpj903UulWPkxrkEq7nCCVdvyQSgV+WiGQSi2SOnHqRiojuMyoZZsZwTR//vcn0rDm9UqJobnzfLn0RzL3+UsZnrmJDuyUUZDKlKBKKoZUlgQ6w26QygywYooilXb8kEoFflohkEotkjpx6lUqR9EbHPQXWfcF0xvFbH7isTd+3NQkfXu8a0QwP/hh/4Ef8d7yU+SGVBZJN3tspDI7s6JrIJV2hJFKO35IpQI/rRBIpRZJnThI5ViOjS887z/oYwTTPOzT0N39xijmnE0rD/uYh36GZs/RSUQoClKpjtQqIFJpha+QykilHVak0o4fUqnATysEUqlFUicOUlmDY1+ftN13z8i9mN5IZtPvf/dGBe+1kWbk0p8q9/6YEU3xPrPdkEpbgrr1kUpdnhrRkEo7ikilHT+kUoGfVgikUoukThykMhtHs+i6fy+mGcW8/14RTzqDzdx7uf4D3rJFGx/4GdpsbrbgG0sjlbmwFVYJqSwMbe7ASGVudH5FpNKOH1KpwE8rBFKpRVInDlKZn6OZFm+7567KE+Vm2rwimFOmSv9uu0v/TrvIhvf9hffn/TK8yaxUO0MqU2EqrRBSWRrq1DtCKlOjii2IVNrxQyoV+GmFQCq1SOrEQSp1OJooLY/+qjKKaR78iW5m2SKzJubAW7aWvne9Rwa33iZ250ilXk40IiGVGhR1YyCVdjwnpVQ+t/JFOeDw0ypkrrzgZNl7wa6JpNKUv/eBR2XJqRfJ43dfNSYO7/6264RatZFKLZI6cZBKHY7RKA1d66T1/vu8+zF/Km33rhhZFzOyDXkP/fS9ey9vjUzz5z2eaL7bL4FUFpOTvFGRyrzkiquHVNqxnZRSufDgE+SYIz8ihx20r1STwQBdtfJR4UQq7TpckbWRyiLpZo+NVGZnlqeGebtPq3cPZusvfyFtP/s/aXnoF9LQ0zMmlJHMloXvl9d32UM2vOe9MjRrdp7dUUeRAFKpCFMpFFJpB3LSSWWcRIalMYorbfnv3XynnH3JNYxU2vW3QmsjlYXizRwcqcyMTKeCtzZmy2O/ltZf/NxbI/N+f53Mpj//aUzsgW2386fK/ZFM78/ADjsWvk6mzgFOnihIpXu5RCrtcjLppNLI3xVX3yIrbry0QmbRkmWy5247yCnHHjqGVtrySKVdRyujNlJZBuX0+0Aq07MqumTjqhf8UcyZjz4oA/f81LtH89ciAwOjdjs8Y6Y/TW7+bDBT53ssEOnoKLppdR0fqXQv/UilXU4mnVReePl1cusd94+RyvnzZsvFy44bQytt+WpS2T84bJcFaqsQaPReRtLovZFkYIh8qAC1DGLeDdPc1CCcH5YgFau3ePkY8K5Xw+vXS8PPfy4N/3efNN5/vzT87H6R1atH76m5WYbf8Q4Z3uu9MvxeP8lKBAAAFpxJREFUb7rc+1u23FKxNYRq9i5aQ96747lkudMXzDnClp/ApJPKtCOPAbK05atJ5cuvr8+fAWqqEWhtaZL21kZZ292vFpNA+Qk0eF+Ys6a2yqtrN+QPQk1VArNntMvqtevF85gxW9NTv5EWb6rc//Pz+6Xp6d+OKTO0xRbS741i9nvT5ebvgV3fIeK9bpItH4HpU1pk/YZB6RsYyheAWuoENp3Zrh6zngJOOqlMe49kkOS05Zn+dv+0YPrbrRwx/e1WPkxrsjz93fDaamnzBNPck9n6C080H/6lNPT2jjqo4c5O6d99z5HpcjN17v09PH2GewfuaIuY/nYvMUx/2+Vk0kmlwVHtae5AIsPLDKV5WhyptOtoZdRGKsugnH4fSGV6VmWVzCKVcW1qeehB/97M4AGgxpdeHFOs/517yvoPfliGvLcA9e++h/SZ0cx2Rn/ieCKVZfX89PtBKtOziis5KaWy2rqTcVJZrXz0Zwbi4kX7j3roh3Uq7TqhVm2kUoukThykUoejZhRbqYy2pem5P0rrgw9UJLPl14/ENtd/+OcDH5Rh78Gf/p13lf637SRD87fQPLQJGQupdC9tSKVdTialVNohyV4bqczOrIgaSGURVPPHRCrzsyuqprZURttp1sxseeSX0upNlbf86mFp9f40Pfv72MMZnjpN+nd9u/Tv8nYZ2H4H6d9xZ+/fu8rwtOlFHb5zcZFK51IiSKVdTpBKO35+baRSAaJCCKRSAaJiCKRSEaZSqKKlMq6ZDevWihnBNMsYtTz1pLQ88Zg0/+ZJaejuij2qQW8Ec8AbyTSy2f+2HUf+/fbdlAi4FQapdCsfpjVIpV1OkEo7fkilAj+tEEilFkmdOEilDkfNKOMhlUntN1PnLU8+Ls3en5YnvD/m3894T5z3x6ze4C1vNLDNdtK/084jkrnTLv7I5qD3rnPxlhGbqBtS6V7mkEq7nCCVdvyQSgV+WiGQSi2SOnGQSh2OmlFcksrY4/KE0ohlRTKNcHp/mv70nMStg2SePjdvAvIl05PNAU86jWwObTZXE1thsZDKwtDmDoxU5kbnV0Qq7fghlQr8tEIglVokdeIglTocNaM4L5UJB9vQ3b1xRPMxXzJbnnzC/+/GV1+JrTE0Z9ONI5ojkmn+DHh/hqdM0cRpHQuptEaoHgCptEOKVNrxQyoV+GmFQCq1SOrEQSp1OGpGmahSmcSg8cVVG6fQnxiRTXO/5m9/Iw09PWOreNPkg1u9uSKYvmya6fTt3uq9+qlZE3PqWEhlalSlFUQq7VAjlXb8kEoFflohkEotkjpxkEodjppRJptUJrFp+t0z0uLJZctj3sNB5l5N755N/37NhK1/j3fJ+n33897z2igDb36LDGy7vQy89W0yPHWqJv4xsZDKQvHmCo5U5sJWqYRU2vFDKhX4aYVAKrVI6sRBKnU4akapF6lMYtbyyEPSbJ5A954+N6Oa5k/jC88nIh6aNdt/GGjAG+EcfMs2MrDlVjJopPPNW8vg1ttYpwaptEaoHgCptEOKVNrxQyoV+GmFQCq1SOrEQSp1OGpGqXepjGPpL3n0uDdt/vRT0uytqen//czT/t+1tkFPMgc82TTT6gOefPp/G+H0/k7zsBBSWYtw+T9HKu2YI5V2/JBKBX5aIZBKLZI6cZBKHY6aUZDKDDSHhqTp+ZXS9Mc/SPMfnxWzBFLzH8zf5r//IOZ+zmqbeShocCszqvmWjaOd3t/+KOfISKd4bxdCKjPko6SiSKUdaKTSjh9SqcBPKwRSqUVSJw5SqcNRMwpSqUizt1eaPcEckU7vbyObnnQ2e/LZ5P2dtLh70AJ/JHMbM6X+ZtngyWdltNOMdJpXWHr3d7KVTwCptGOOVNrxQyoV+GmFQCq1SOrEQSp1OGpGQSo1aVaPZZY7qginN9Lpi2cw6rnyzyIDA8kBWlrEn1o3shka3Qz+PbzJrPIOpM72hFTaJRyptOOHVCrw0wqBVGqR1ImDVOpw1IyCVGrStItlRjM3eXml9P/2GRl+1ptWD4ln0vqbwR7Ne9MHttlWBudtLkPeH/P34Nx5/ginGQE1/zafs2UngFRmZxaugVTa8UMqFfhphUAqtUjqxEEqdThqRkEqNWnax0q6p9Is9u5L5sapdH+aPZha9/4duw5ntDlNTTK06WYV4fTl04jnRgkd2vhvU4ap9jfgIZV2/RqptOOHVCrw0wqBVGqR1ImDVOpw1IyCVGrStI+V90Ed85CQeXVlkzeN3mT+veoF/8Gh4N/mvxtefy11A33B3Hy+DHqjnKNGPr3P/JHPjSOiqQNO4IJIpV3ykEo7fkilAj+tEEilFkmdOEilDkfNKEilJk37WHmlMtWe+/p82TSi2bjxb18+w/82P1v9aqpwYkY+vddfRkc6g6n2YBTUfwBpAj9khFSm6w5JpZBKO35IpQI/rRBIpRZJnThIpQ5HzShIpSZN+1iFSmXa5hn5DI92hkU09O9c8rnx3s7gns/wFLw/7e6JqmsbUmmXEaTSjh9SqcBPKwRSqUVSJw5SqcNRMwpSqUnTPpYTUpnhMMxanWNGPkPT7mYUNLV8evv1p92DezuD+z03iuiQ94T7kPeaTPNQknld5tDsORlamr8oUpmfnamJVNrxQyoV+GmFQCq1SOrEQSp1OGpGQSo1adrHmmhSmeqI+/vjxTM67e4tuSTDw6lCBoWGvQXjjVxW/niv0RyaM0cGzd/hz2dv/G+z9FLGqXikMlNKxhRGKlPyO2npZXL7igcrpc888Qg57KB9kcqU/MoohlSWQTn9PpDK9KzKKolUlkU63X4mpVSmO3S/lHnYyH/AKCKc/r2f3oNGDV1d/iLyjebvNa9niPxGUfP+dv/PppuKP/rp3Rfqv9Pdl1Dz+WYjn3v/Pej9e/4Wm+TaD5VGCCCVKXuCkcpDDlwoey/YdUyN51/tTRmFYkUSQCqLpJs9NlKZnVnRNZDKoglni1/vUpmNlicsnlyaNTzNFHvjKy/7fze9svG/zeeVn238zDwBn3E0NHP5rAcxycsjlSkTHB6p3G/hnnLxsuMqNZHKlBALLoZUFgw4Y3ikMiOwEoojlSVAzrALpDIDrDxFvfe3+6Lp//FEdKN0NsV85ktqT480vLY6z56os5EAUpmjKyw8+AT5+ulHV0Yt+weGckShijYBIzGNDQ0yMEg+tNnmiufloqWpQTg/ctErpFJLc6P0m/Mj261shbSFoCLNTY0yNDQsQ1lH04BXGAFzjrDlJ4BU5mBnRi0X7L5j5Z7Kl9dsyBGFKtoEWr2LQXtro6ztqfJOXe2dEi+RgOf4ssnUVnl1XR+UHCEwe3qbvLZ2g/BrlxsJmd7ZLOv7BqVvAMt3IyMim85oc6UpE7IdSGXKtBmRDKa8d95nsSy/9nzZagtvkVdvY/o7JcSCizH9XTDgjOGZ/s4IrITiTH+XADnDLpj+zgCrpKI8/W0HGqlMyc9Meb+yeo1fevGi/eWUYw+t1EQqU0IsuBhSWTDgjOGRyozASiiOVJYAOcMukMoMsEoqilTagUYq7fgxUqnATysEUqlFUicOUqnDUTMKUqlJ0z4WUmnPUDsCUmlHFKm044dUKvDTCoFUapHUiYNU6nDUjIJUatK0j4VU2jPUjoBU2hFFKu34IZUK/LRCIJVaJHXiIJU6HDWjIJWaNO1jIZX2DLUjIJV2RJFKO35IpQI/rRBIpRZJnThIpQ5HzShIpSZN+1hIpT1D7QhIpR1RpNKOH7UhAAEIQAACEIAABDwCSCXdAAIQgAAEIAABCEDAmgBSaY2QABCAAAQgAAEIQAACSCV9AAIQgAAEIAABCEDAmgBSmROhecPO7Sse9GvvssPWcv2VS3NGoloaAuHF5035Ky84ufLudfPf37v5Tjn7kmsqoR6/+6pRYastXp9m/5RJJhCcC2HmtfLB+VNMjwr38zNPPKLyKtnnVr4oBxx+WmWnWc+fYlo7uaMuWrJMHnvq2VzXpFrnz+Qmp3t0Jg977rbDqBeWmD3UugZV+86odT7pHsHEioZU5siXOeGvuPoWWXHjpX7tpE6bIzRVYgiYE/jif/1+5TWZwQU3kJjgBA9enXnh5dfJg488VRF9c/EwW/g1m9EvVcDnI2DYPvTo0/7bptLmg/MnH+tatczrY6Nv+wrqmC/IY478iC+Z9z7wqCw59aLU+aq1X34+loA5L55f9eqoa1D0v5OuSbWuZ/BORyAsjdHzotY1qNZ3RrXzKV3rJm8ppDJHbqMSGe2gOUJSJQOBWhfd6M/Nl21YIqMXjAy7pmiIgJH351e9IoccuHCUpESlPpoPzh/9bhTkIvjFKbyHqESan4W/FGvlS7+1kz9irT5e7ZpEPnT7h+nrf/2hvUaNVNrkp9b5pNv6iRcNqcyRs/AF2VSP62Q5wlIlJYEo7zhJDC7aW22xmT/tF4ximl1EL9opd0uxiFAGo8FZ8rH3gl1HCQ3nj063Ml+Sq15e7Y8YB1vQ5+N+6Q1/qVY7f0y+2LITCM6J/Rbu6c+QGN4HHbC3P1Ic/SUrek0iH9l5V6sRJ5XVvsNr5afW+aTb+okXDanMkTMjLOH7lYILSFhccoSlSkoC0YuEuWDPnze7Mr1twgQ52nL+Zv4oWlQqb73j/srtCyl3S7GNBKIX1ahUVsuH+VLl/NHvStFzwvzidNX1t/lT3Obf0f4ezlGtfOm3tj4imn4+Z9aMiugHt4fEfV+Ec0Q+dPtHnFRWuwY9t/Klqt8Ztc4n3dZPvGhIZY6cMVKZA5pSFcP+nbtuP0ogGalUgpsyTPhepWgVI+/m/lezhadiw9N9nD8pQWcoFmUaHm257xePjboH3IRlpDID3BxFwyOTpnpY8muNhDFSmQN4lSqMVOryrBUNqaxFKObnte7HyBGSKikIxAllcMEOP5jDPZUpYCoWiY5U1ronjPNHEf7GUFGm4XMgGHkJP53PPZX6OQhHjN4zGR2d5J7KYvmHo3NPZXmszZ6Qyhy8az05liMkVWoQqPZka60Hd2o9yQd8OwJZnybm/LHjHVc7uiJC9Oljnv7WZ14topF8swVLzQWrJAQrhlS7JtW6npV7JBN/b3FSWesaVOs7g6e/k/sFUpnznKm1xlXOsFSLIRBdsy0oEtwEb/671rpurFNZXNeKe1CtVj44f/TzEUyxmsjmXr5AYMx/11pXr1a+9Fs7+SOGrznRfJijr3ZNIh/2/SPuNp3waH2taxDrVObLAVKZjxu1IAABCEAAAhCAAARCBJBKugMEIAABCEAAAhCAgDUBpNIaIQEgAAEIQAACEIAABJBK+gAEIAABCEAAAhCAgDUBpNIaIQEgAAEIQAACEIAABJBK+gAEIAABCEAAAhCAgDUBpNIaIQEgAAEIQAACEIAABJBK+gAEIAABCEAAAhCAgDUBpNIaIQEgAAEIQAACEIAABJBK+gAEIAABCEAAAhCAgDUBpNIaIQEgAAEIQAACEIAABJBK+gAEIAABCEAAAhCAgDUBpNIaIQEgAAEIQAACEIAABJBK+gAEIAABCEAAAhCAgDUBpNIaIQEgAAEIQAACEIAABJBK+gAEIAABCEAAAhCAgDUBpNIaIQEgAAEIQAACEIAABJBK+gAEIAABCEAAAhCAgDUBpNIaIQEgAIG0BC68/Dq56vrbxhR//O6r5Hs33ylnX3KNnHniEXLYQfuOKnPS0svk9hUPyvJrz5ettpgr1eLc+8CjsuTUi6o2yezDbGZ/cVvQhqBNu+ywtVx/5dJRRYM2xP0sKLjzPourtmO/hXv6PzfHFmyLF+0vpxx7qDy38kU54PDT/I8Nn/AWPsbgZ0Fbqx1P2jxRDgIQgEAeAkhlHmrUgQAEMhMIxDAqSObzBbvv6ItkIGrhMoFAXXnBybL3gl0lTZxw40z551e9OkYKAwmLtidcNyxqgdAGP1948Anyyuo1Uk0q42LF7S84xvA+wlIZFe2AQVg40xxP5qRRAQIQgEAGAkhlBlgUhQAE8hMwo3bBKFy1KEbW3rnr9nLxsuP8YtH/Thsn2IetVF5x9S1+e8wWtMkInPl83qaz/M+jo5hxx1dN+qpJpWF26x33y4obL/XDBrJpRjnNCGd0pLKaJOfPHjUhAAEI1CaAVNZmRAkIQECBQFQOk0KGRybv/+Xjo4QqTjJrNU1DKq/55pf8qehgJHHRkmVy0AF7y83L7y1cKs0+jzj+HDnmyI9URnOfX/WKzJ83x7+VAKms1QP4OQQgUBYBpLIs0uwHAnVOIO6ev6RRtfD0bjDtHeDLEsfUqSWVcWkJ31NpRiTNKKERyfnzZsshBy6UM87798pnpn6RI5VGKq+/5a6KXJuR2uCzOKmsdjx13gU5fAhAoGACSGXBgAkPAQiMJRDcjxj8JCqO5nMjT2aKN5hyjuOYJk4tqax1T2UglcEIqrmH0oxSmntAjWiWIZXm4STDw+zbiK1hEr3/lHsqOdMgAIHxJoBUjncG2D8E6pyAEUNzb2J0tC/tdHmALymOllSa/RiJfOypZytTzmVKZSCRgYAjlXV+4nD4EHCQAFLpYFJoEgQmGwHzcImZwjVL5US3JDGLk8o8cTSl0owG/vmFlyvHUaZUmmM/5awrKvKNVE62s4TjgcDEJ4BUTvwccgQQcJ5A8MTynFkzKk8xm0YHU7Zx099JUmkemMkSR1Mq0wpxXELyPv0dXcooiI1UOt/taSAE6o4AUll3KeeAITB+BOIWA0+SpmrT31ni1JLKOBpxD+rEldMYqQw/lGT2EV38PKtUVjue8cs8e4YABOqBAFJZD1nmGCEAAQhAAAIQgEDBBJDKggETHgIQgAAEIAABCNQDAaSyHrLMMUIAAhCAAAQgAIGCCSCVBQMmPAQgAAEIQAACEKgHAkhlPWSZY4QABCAAAQhAAAIFE0AqCwZMeAhAAAIQgAAEIFAPBJDKesgyxwgBCEAAAhCAAAQKJoBUFgyY8BCAAAQgAAEIQKAeCCCV9ZBljhECEIAABCAAAQgUTACpLBgw4SEAAQhAAAIQgEA9EEAq6yHLHCMEIAABCEAAAhAomABSWTBgwkMAAhCAAAQgAIF6IIBU1kOWOUYIQAACEIAABCBQMAGksmDAhIcABCAAAQhAAAL1QACprIcsc4wQgAAEIAABCECgYAJIZcGACQ8BCEAAAhCAAATqgQBSWQ9Z5hghAAEIQAACEIBAwQSQyoIBEx4CEIAABCAAAQjUAwGksh6yzDFCAAIQgAAEIACBggkglQUDJjwEIAABCEAAAhCoBwJIZT1kmWOEAAQgAAEIQAACBRNAKgsGTHgIQAACEIAABCBQDwSQynrIMscIAQhAAAIQgAAECiaAVBYMmPAQgAAEIAABCECgHggglfWQZY4RAhCAAAQgAAEIFEwAqSwYMOEhAAEIQAACEIBAPRBAKushyxwjBCAAAQhAAAIQKJgAUlkwYMJDAAIQgAAEIACBeiCAVNZDljlGCEAAAhCAAAQgUDABpLJgwISHAAQgAAEIQAAC9UAAqayHLHOMEIAABCAAAQhAoGACSGXBgAkPAQhAAAIQgAAE6oEAUlkPWeYYIQABCEAAAhCAQMEEkMqCARMeAhCAAAQgAAEI1AMBpLIesswxQgACEIAABCAAgYIJIJUFAyY8BCAAAQhAAAIQqAcCSGU9ZJljhAAEIAABCEAAAgUTQCoLBkx4CEAAAhCAAAQgUA8EkMp6yDLHCAEIQAACEIAABAom8P8BeVGzTY+UhPYAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Same, but wigh log scale for y-axis (and save the figure object in a variable)\n", "fig_freq_10 = PlotlyHelper.plot_pandas(df=bio.get_saved_values(), x_var=\"SYSTEM TIME\", fields=\"ratio\",\n", " log_y=True, y_label=\"ratio\",\n", " title= \"Component of frequency=10, relative to amplitude of constant bias
(log scale in y-axis)\",\n", " colors=\"red\")\n", "\n", "fig_freq_10.show()" ] }, { "cell_type": "markdown", "id": "c5e7fe6a-5062-4416-8ef3-8bdbca1961dd", "metadata": {}, "source": [ "### Resurrect the earlier plot for frequency=2 (stored in a variable)\n", "### and then superpose them" ] }, { "cell_type": "code", "execution_count": 54, "id": "4a3d4ce8-6087-4492-8390-d38a842c8152", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "SYSTEM TIME=%{x}
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IqUQqtY8XpBKp1GKEdAgkiQBSGUFrIZVIJVIZ7EGip5KeSi1S6KnUCJEOgfgSQCojaBukEqlEKoM9SEglUqlFClKpESIdAvElgFRG0DZIJVKJVAZ7kJBKpFKLFKRSI0Q6BOJLAKmMoG2QSqQSqQz2ICGVSKUWKUilRoh0CMSXAFIZQdsglUglUhnsQUIqkUotUpBKjRDpEIgvAaQybNv84XBZPenpsLmUxPVsKdS5GVn93TWskUqkUvuwQyo1QqRDIL4EkMqwbfPrCtm65zdl64e/HTanxF+PVCKVWhAjlUilFiNIpUao9NMvnXObPL5kWbqii++5XsaNHdmp0itXrZMpZ12R/t3xkyfJzXNnlT6UhNQQqQzbUCmpNEftx/4iLQM+Gja3RF+PVCKVWgAjlUilFiOlIJX3PvSUXHPL3Z2q6idHGoskpk+bMVfGjBqat+g99/yrMuPym+T1ZxZkrL65x6QDxsvsmWckEVFByuwVbXuDbAwLUohUpkhlWLKnp6TydJHWPrtL7RFLpb3n4LA5JvZ6pBKp1IIXqUQqtRhJulTaXjbvF7oRpQceXZK3aGnM4pQeViqNkD+0+DlZOH9OxmpNPu1iufYbX5YjD50Yp6oXtSyGmznOPPXY9P9NHK5euyErx0IUGKkMS7WiQlrvHytVzaukYex02TRhftgcE3s9UolUasGLVCKVWowkWSptb9H8Gy7LKjxGvF5b/m4ahXf49sZ598miJ5bKqOE1HelXXTI9LVn2fG/eVuDsULHJz9sjanv9LHNv2n7HnCvnTjtBFix8LJ08rGaQLHnw1o7mcXtbrSTbPL3X2jqY8tv8TEYTxu+ZUWr8GLjX+w1tm3J7D1On2Vffke4dfeHVt6SufnO6XqYX0zuM7pbFvZfJ09bR3MNwt4LminI+bGyZvWWyzM39vO1qGYfp3TZlvOOuhzu1qfbsRZGOVIalmJLKuiWLZOi6s6WieZNsmninNIw5O2yuibweqUQqtcBFKpFKLUZyksrGdSJvzdOyjD69d2qO394zu+Qb5IvciqMVONPrdvJxR6QlyIqOFQz7bys47rVWzKwMub1TXjmyIuQVJ69ImnKcf87UtEi5UuPN16ZZ4bMibQUoSE+lxsCItVdwXdB+0mek2yth2e7h1s+PTSapDMPGLZP597Spn5CFDz8ty15a3iHghrc5zFxRv2Fty8P9Q8DLyeTtzTP6h8A/R6QyLOmUVK5/8jmpHrJUBr05Oz38XXvEX1LD4ePC5py465FKpFILWqQSqdRiJCep3PSKyO/317KMPn1wav78iS/nJZVeeTMZeEXUlQ5XUt1/uwLnnY/oJ7jee/uJmZ2n6JUaU0Zvvn69aN6etiBSmQsDv8bTehLNNe49vJLl1i8XqQzDxi2TrZsr5m7PZa4BHLTHPNd8g5yPVAahlO0c01O56ElpOvxjMvi1GdJ31d3p+ZXrjn4jbM6Jux6pRCq1oEUqkUotRnKSygT2VLrC4BUaP6k0C35s76IrP67AeeXE7f2yomV7RbOJmXdo2ttepidw5ara9EIadyjd9uwFkcpcGOQrle4wucnH9uy5C31ykcowbLLJopHVMaOGyW6jh3eaU5prT6U939vTqj1zUaYjlWFppqRyw28elp2f+JRU7Vgpw/726dT/V8jWD10pW/e6MmzuiboeqUQqtYBFKpFKLUZykkots25OD9JDlEsvnSs7mlSG7am0q7bd3jgvxkw9lblIZS4M8pXKTL2CJj+tp9K91ivKYdhkK5PheuUPfpqeT3vqlCM75nPmEsLFFkpTVqQylxbzOzcllfV33y+NU05OpxqxHPnsPumfy21+JVKJVGqPE1KJVGoxkmSptMJiFs5kWv2dy3zCXKXS7SXU5lQGnTdo6mXyNiuyNakMsuo4Fwb5SqV7D28dXK7uin1vT6YVNTuH1K/+QdlkmlNp9+E00mmObPNJMz0/tlzaIjHt+QubjlSGJlghG+/8pew47XMdOQ14+1oZ8M61ZTe/EqlEKrXHCalEKrUYSbpUmvplW1ls5Sbb6m8rFUGk0uZj8nVXOGurv3NZ4ZxNqrzy6h2uzXX1t2WXz0Idv70xvSutTd7e+rorww1Hd4W7ucYMmZveQ2/+7urvoGzctncX2tgh8Hz233Trap+z7h4GRyq1TzgtPdVTuenWedJw1hc7nemdX1ku+1cilUil9rgglUilFiOlIJVaHaNKDzJ/Map7lXI+rrwXq65GzsNsI1Sscnvvi1SGbYWUVG6+/mbZ/qUZnXIy2wuNWHpEen5luexfiVQildrjhFQilVqMIJUaoffTkcrgrLKdGQepzDZXM5padk8uZSmV2TZEdbG7wwdduvNTUrll7nWy7cJLurSYmV85Yunh6f0ry2HhDlKJVGofW0glUqnFCFKpESIdAvElUHZS6bfPV7Z3iJq5MUccvF/H2xG6/GWYksqtV1wlW2d/y7eVe9cukpoXP59Oqz8wtaBnxK4FPaV4IJVIpRbXSCVSqcUIUqkRIh0C8SVQdlLptz9VLq8y6rJLfUoqt13877Ll21dnbGW7cMfsX1l3yB9KdmN0pBKp1D7qkEqkUosRpFIjRDoE4kug7KTS3SfKu69XkGYy1x80ce/065PSR0oqt8+4ULZce2PWy4e8OE161z6S3hh9Q4mKZa/qKunbq0o2bm0KgrLkz6msrJDhg3rJuo2NJV/XoBUcWdNH1m/cIW3tQa8o7fOGDKiWhsYW2dncVtoVzaF2o4f2yeFsToUABOJEoOyk0n2LQNAXt9td9P3mVMpXviLtd96ZvV2bNknF4gNFtr8nMvIYaT/26TjFQSRlqfhXLvjC+zgNE3jAI9MDxjPTlYxlEsmHEplAAALdSqDspDJsT2WXjV1TPZU7PnembJz3M7XhSv2NOwx/dw4B01M5ItVTuZaeyg4wDH93jpGaf/VUNtJT2QGG4W/1q4QTIBBbAmUnlWHnVLoLfczwd+Mpp0r9L34dqJF7bH1FRvz58PS5pbYiHKlEKrWHAKlEKrUYQSo1QqRDIL4Eyk4qtdXf9k0Idmd9+/ol24Tm3+Ywr6tKHymp3PmpT8uG+34buJX7rbhdBr05O33+pgl3pvaxPDvwtXE+EalEKrX4RCqRSi1GkEqNUOmne7f989sM3PvWHvs2m9Knkowalp1UmmbJtk+lK5Xu67b85lQ2ffxoqfvdYzm1uPdVjusPeUxaBnw0p+vjeDJSiVRqcYlUIpVajJSCVLqv8TN1TvqbUrR2s+lhN2QPsnjWHXEMWrZyOc+sHfF7B7iZ/ldXvzmN4dxpJ0g+r4PUGJalVGpQckpP9VQ2H3yIrP/DkpwuMyeX2lZDSCVSqT0ESCVSqcVI0qXSdlrY0S5TXyNKDzy65P1dQzQICU4PK5VGyB9a/Nz7o4E+LIwcXfuNL3fsH51gXJEW3SuNrlS6b+zJJJ5hC4RUhiZYIS0fmSC1zz6fV041nq2Gkr6HJVKJVGoPAVKJVGoxkmSptMOyfr1E3nrb3UTM77zDt2ZkbNETS2XU8Bp5bfm76UuuumR6WrLsv715W4F7fMmyjuy9PaLuG+G8aUYqTG/VgoW7RtmG1QySJQ/e2pGP29tqJdnm6b3W1kEd2fNA8GPgXu83tG3K7T1MnWZffYeMGTVUXnj1rXRPnO2FCzIq6c3L1tHdJcYV5XzY2Pt4y2SZu4IXdFcav2cpUwy69yjUayGRSu0TTktP9VS2fvBDsi71l2g+h3mF47BlU6TnlpfTe1jWHrFU2nsOzierol+DVCKVWhAilUilFiM5SeW6dSLz5mlZRp8+cqTIzJld8u2ykNPnzlYcrcCZ3qWTjzsiPRRppcqKo/23EcszTz02nW6k015rxczKkLs7iVeO3PdbmzSvSHp3RnGlxpuvTbPCZyXGCmuQnkqNgbeOfo3nJ31Gur3SnO0ebv382Fjm5v7eOoVh45bJ/Hva1E/IwoeflmUvLe/onfUKn3f+qMvC/UPApPtJpdtG5rwuL3KJ6ClBKsOCTEll2+gxsvbVt/POybvVUPPA/aVu0uJEiiVSiVRqDwFSiVRqMZKTVL7yisj++2tZRp/+0dQc+Jdfzksq3W3tvCLqSocrqX4LTU0PnX0Zh3c+op/geu/tJ2b2lcVuL5Y3X79eNG8vWBCpzIVBUKn0cjDXuPfwSpRbv1ykMgwbt0y2bq70hRma9pNKvzZzYy2qhwSpDEsyJZXtg4fImrdXhcrJK5aNI05JvSd8Yaj8inExUolUanGHVCKVWozkJJUJ7Kl0hcErNH5Sec0td4vtiXTlxxU4r5y4vV9WtGyvaLYhXu/QtLe9TE/gylW1MuPymzr1CnrzCiKVuTDIVyrdYXKTj+3Z89ta0Mu5UGyyyaKR1TGjhsluo4d3mlNKT6X2iVFq6SmplN69ZfU/60PXzCuWDWOnp7Ybmh86z+7MAKlEKrV4QyqRSi1GcpJKLbNuTg8ypzKXXjpXIjWpDNtTaXv7ss23y9RTaYeLg0hlLgzylcpMvYImP62n0r3WW6cwbLKVyXC98gc/Tc+nPXXKkenpDvkczKnMh1qcrjFSmTpW1zVEUiqzOfrwv50gZq5l0jZHRyqRSu0hQCqRSi1GkiyVVljMwplMq79zmU+Yq1S6QqfNqQw6b9DUy+7ZrElll7fO+TR4LgzylUq/4V1bB5eru2Lf25NpJc3OIfWrf1A2meZUjhubmqObOox0msO7YEp7Xtz0TFLJ6u9cSRbr/P79U+/z3i5rVtZJe9++kZQiqWKJVCKV2gOAVCKVWowkXSpN/dxVzOZ3XsnUVn9bqQgilXZVuLmHu4+ytvo7k1SavNwVztmkyiuv3uHaLvs6exo/KIN8pdIr+DYPb33dleGGo7vC3VxnhsxN76F3zma+bEx+3nq7C23sEHi++0d6txTyiwf2qdQ+feKQPny4SF2drP3f/5O2mqGRlSiJr3NEKpFK7QFAKpFKLUZKQSq1OkaVHmSoOap7lXI+rrwXq65GzpO+ST4LdcJGz+67p9bwr5S1r7wlbWPGhs2t0/V9V/1KBr/21fTvkjAUjlQildoDgFQilVqMIJUaoffTkcrgrLKdGQepLNS+kdEQCp4LUhmclf+Z++wjsny51P7lZWnZa++wuXW5PkliiVQildoDgFQilVqMIJUaIdIhEF8CSGXYtjnwQJGXXpLaZ/4iLRMK8/7upIglUolUao8TUolUajGCVGqESIdAfAkglWHb5mMfE1m6VNY/9ow0Tzo0bG4Zr0+CWCKVSKX2ACCVSKUWI0ilRoh0CMSXAFIZtm0+9SmRp56Sut/+XpqOOiZsblmvN2I5aPnl6e2Gtu8xSzaPv6Gg98s1c6QSqdRiBqlEKrUYQSo1QqRDIL4EkMqwbXPKKSKLFsmGXz8gO4+fEjY39XrvdkNx2yAdqUQqtQBGKpFKLUaQSo0Q6RCILwGkMmzbfP7zIr/5jdT//B5pnPrZsLkFut4Vy83jr4/Fu8KRSqRSC2CkEqnUYgSp1AiRDoH4EkAqw7bNF78octddsvH2n8iOaWeFzS3w9UYsh744Tap2rJDmgftL3aTFRRdLpBKp1AIYqUQqtRhBKjVCpEMgvgSQyrBtM3OmyB13yKabfiwNX/xS2Nxyut77rnAjlvUHLJTWPuNyyiPKk5FKpFKLJ6QSqdRiBKnUCJEOgfgSQCrDts3Xvy5y882y+ZobZPv5s8LmlvP1XrFs7bO71B3yh6KJJVKJVGoBjFQilVqMIJUaIdIhEF8CSGXYtrnySpHrrpMtV35Xtl16edjc8rreiGXNS9Ok55aXU0K5u2w4cKG0DCjMnpnZCohUIpVaACOVSKUWI0ilRoh0CMSXAFIZtm2uuUbk29+WrZd9Q7Z+8zthc8v7erPN0NCXzpDq+mfTcyvNdkMNY8/OO798LkQqkUotbpBKpFKLEaRSI0Q6BOJLAKkM2zY//KHIZZfJtgsuli1Xfz9sbqGvN/tY9lilRoMAACAASURBVHvvtnQ+m/e5UbbvfmHoPINmgFQilVqsIJVIpRYjSKVGiHQIxJcAUhm2bebNE7ngAtl+3ldk8423hs0tkusHvH2tDHjn2nRe3blJOlKJVGoBjFQilVqMIJUaIdIhEF8CSGXYtlmwQOS886ThzOmy6cfzw+YW2fXe1zo2jjhFNk6YX/Ath5BKpFILYKQSqdRiBKnUCJEOgfgSQCrDts3994tMmyY7Pvv/ZONP7gqbW6TXe/ey7I6V4UglUqkFMFKJVGoxglRqhEiHQHwJIJVh2+aRR0SmTpXGT58o9ff8V9jcIr/eu+WQWcCzIbWXZVPNUZHfx2SIVCKVWmAhlUilFiNIpUaIdAjElwBSGbZtnnxS5LjjZOfkT8qGBxaFza0g13tXhpsbFGoBD1KJVGoBjFQilVqMIJUaIdIhEF8CSGXYtvnTn0SOPFKaDjtC6h59KmxuBb3eXcCz5YPfinSeJVKJVGoBjFQilVqMIJUaIdIhEF8CSGXYtnnxRZGDDpLmjx4g6//7z2FzK/j1ZgGP2XbI9F5G/WpHpBKp1AIYqUQqtRhBKjVCpEMgvgSQyrBt8+abIvvuKy17j5fapSnBTMDhXcAT5TxLpBKp1MIfqUQqtRhBKjVCpEMgvgSQyrBts2KFyB57SOsHxsm6F1OCmZDDnWe59UNXyta9Uq+cDHEglUilFj5IJVKpxQhSqREiHQLxJYBUhm2b2lqRkSOlbdhwWftmSjATdnjnWTbVHJ1aHX5f3vMskUqkUgt/pBKp1GIEqdQIkQ6B+BJAKsO2zbZtIgMGSHu//rJmRUowE3hU1/9Rhrz2VanasULMfpYbJ9yZ17ZDSCVSqYU/UolUajGCVGqESIdAfAkglWHbprVVpEePdC6r6xrC5la0681+lkYsq+ufTZchn+FwpBKp1AIYqUQqtRhBKjVCpEMgvgSQyijaprpapLlZVq/eJGJ+TvDhDoebXsvWPuMC1QipRCq1QEEqkUotRpBKjRDpEIgvAaQygrZpHzhIKrZukTX/WCPm56Qf3uFwszp88/gbpGHs2Wq1kEqkUgsSpBKp1GIEqdQIkQ6B+BJAKiNom7ZRo6Vy3VpZ+9o7Yn4uhcOsDh/y2gzpXZt6DWXq2L7HLNE2S0cqkUot9pFKpFKLEaRSI0Q6BOJLAKmMoG1a99hTqla8J+uWvS7m51I6+q24XQa+c216s3RtEQ9SiVRqsY9UIpVajCCVGiHSIRBfAkhlBG3Tss9HpMfyN6T2uWVifi61w13Ek6nXEqlEKrXYRyqRSi1GkEqNEOkQiC8BpDKCtmk+4CDp+fKLsv6JP0rzgQdHkGM8s/Au4vHrtUQqkUotcpFKpFKLEaRSI0Q6BOJLoCyl8tI5t8njS5alW2XC+D1l4fw5GVvo3oeekmtuubsj3e/8po8dKdVL/yR1Dz8u5udSPswrHs1cy55bXk5X09triVQilVrsI5VIpRYjSKVGiHQIxJdA2UmlkcQ77npYljx4a7pVps2YK5MOGC+zZ57h20pGQC/96udk3NiR6fTJp10sJx93RKfzd37yOOn19JOy4f7fifm5HA6/XsvKUcdI315VUr+1qRwQqHWsrKyQEYN6ydqNjeq55XICUolUarGOVGqESIdAfAmUnVS6EulKptZURjLNcfPcWR2nNp54ivRevEjqf3mfNJ40VcuiZNLdXsvGD16U6vqdI/U7+5ZMHcNUBKnsSg+pRCq1Zwqp1AiRDoH4Eig7qTQ9jeefM1XOPPXYdKs89/yrMuPym+T1ZxYEaiW/ns0dp39e+jz4G9k4/xey4/RpgfIppZNMr2X/lbenV4hL9WCp3+9OaRxxcilVMa+6IJVIpRY4NQOqpaGxRRqb27RTyyYdqSybpqaiJUig7KRyv2POlasumd5FKhffc33HEHemdrbzK10BbT3v36RqwS+k+Y7U22dSP5fjUbF9hVT//UtSUftMuvptIyZL88E/T70TffdyxLGrzhUV0rtnpTQ2pV7lyZEmYObdwuP9YKjuUSktbe3SlvqPYxcBEyMcEIBAMgkUXSptT6EX3/wbLpMjD51YEKL59lRaofSTz8YZF0jvO+dJww0/lMbzLyxIuZOQqfmC7PPebVL5+lypaNok7aley8Y9LpLGPWelfy63IzWlUgb27SmbtjeXW9Uz1ndw/2rZsr1JcKhdiPr36SFNqT86mlqRShs0pveWAwIQSCaBokqln6itXLVOppx1RafexCjR5jOnMptQmrJtm3Wp9L/9Ftky5xrZdtHXoyxuovKyq7831tfKwH9cJ/1SgmkObdP0RFUyh8Iy/N0VFnMqOzNh+LtrjDD8ncOHDKdCIGYEiiqVbq+hZZPr4plcmGqrv2+cd58sWPhYxxxL999+99p6+ZUy4MbrxPzf/Feuh7ulkHmH+KDll3dsP9RUc7RsnJCaItBnXFkgQiqRSi3QkUqkUosR0iGQJAJFlUozv9FvqDvXxTO5As+2T6UrkUZ86+o3d7mFdxh8y3e+JwO/9510L6XprSzXI9M+ld5XPbb3HCzbxl0o23a/UMzPpXwglUilFt9IJVKpxQjpEEgSgaJKZTF6KgvROJuv+w8ZdOVs2f6VmbL5+zcV4haJyDPb5udmZfig5VdI31W7NpI3Qrl5nxukYczZiahbPoVEKpFKLW6QSqRSixHSIZAkAkWVymLMqSxE42z64W0y+LKLpGH6ebLp5tsLcYtE5BnkjTpmSHzgO9dKdf2z6TqZIfEtH7oy9f+jElHHXAqJVCKVWrwglUilFiOkQyBJBIoqlQZUd6/+LkTjbLzj5zJk5pfSe1SavSrL9QgilZZN39W/ErO/ZdWOFR1yuSnVc9ky4KMlgw+pRCq1YEYqkUotRkiHQJIIFF0qkwQrU1nrF9wrNed9If02HfNWnXI9cpFKw8gMifdfcfv7G6enftcwdrpsHn99Scy3RCqRSu2zAKlEKrUYIR0CSSKAVEbQWuad30OnnZp+77f5uVyPXKXScjJy6d2CqFQW8yCVSKX2WYBUIpVajJAOgSQRKIpU2rfaXHPLrkUbmY6gr04sNvC6xU/LsBM/KU2TDpW6x54pdnGKdv98pdIWuGrHShn05mzpXftI+ldJl0ukEqnUHkakEqnUYoR0CCSJQFGkMkmAgpS19o9/kxFHHyot+3xEap9bFuSSkjwnrFRaKO5inqTKJVKJVGoPOlKJVGoxQjoEkkSgqFKZaZ/KQm5+XojGWffimzLyoH2ldbcPyLqXlhfiFonIMyqpLBW5RCqRSu3BRSqRSi1GSIdAkgjEUioLvfl51A205u1VMnrv3aR98BAxP5frEbVUJl0ukUqkUvssQCqRSi1GSIdAkgjEUirNW20WPbFUljx4ayJYrl6/XcaM6C9SWSmra7closyFKGShpDKpcolUIpXac4ZUIpVajJAOgSQR6Hap9NuX0g+Y3+sb4wp29YYdMma3GpHGRln9z3qR3r3jWtSClqvQUpk0uUQqkUrtgUMqkUotRkiHQJIIdLtUeuFkmlOZJICmrEYqR03cSyrXrJa1r74tbaPHJK0KkZS3u6RSk0uz12Vrn3GR1ClMJkglUqnFD1KJVGoxQjoEkkSgqFKZJFDZymqkcsTkw6TH669K7ZK/Sst+E0ulajnVo7ulMpNcmt83jjhFtu0+q6ivf0QqkUrtAUIqkUotRkiHQJIIIJURtJaRyqGfPVF6/fEZqfvt76XpqGMiyDV5WRRLKr1yaV7/2HfV+/ufFvPd4kglUqk9xUglUqnFCOkQSBKBokrlylXrZMpZV2TklZTNz41UDvnS2dLndw9K/c9+JY2fOS1JMRBZWYstlbYifq9/bO2ze7rnsmHMWd32CkikEqnUHi6kEqnUYoR0CCSJQFGlcvJpF8vJxx0hRxy8n1z5g592rPaeNmOunDrlSDnz1GMTwdJI5aB//5r0W/BT2fQfP5KGc7+ciHJHXci4SGU2uezOjdSRSqRSe8aQSqRSixHSIZAkAkWVSrtQZ9zYETL9ous6pNKsEPdKZtyBGqkc8P2rZcBNP5Ct3/yObL3sG3EvckHKFzep9FbSfUuPSSv00DhSiVRqDxpSiVRqMUI6BJJEIBZSeeShE8UIph3uTtrm50Yq+91xmwy66nLZfv4s2XzNDUmKgcjKGmeptJU0cmnmXfZJvV/cDJObo3ng/tI4/OTU8PiFkQ6NI5VIpfZwIZVIpRYjpEMgSQSKKpVmmHvSAeNl9swzxPtz4jY/T0lln/t/LUMu+LLs+PwXZON//jRJMRBZWZMglbayfvMuzdB4w5izZUdq5XhTzVGhuSCVSKUWREglUqnFCOkQSBKBokqlC8r0Vtpj8T3Xy7ixIxPB0vRU9nryDzL0jM/Kzk99Wjbc99tElDvqQiZJKr11zzQ0buQyzMIepBKp1J4xpBKp1GKEdAgkiUCspDJJ4LxlNVLZ84VlMvz4o6X5oEmy/vFnk1qVUOVOqlRqvZc7hxyV156XSCVSqT1QSCVSqcUI6RBIEoGiSmUpvVGn6t1/yMhDJkjrnh+UdX97LUkxEFlZky6VWu9lrivHkUqkUnu4kEqkUosR0iGQJAJIZQStZXoqK7ZsltEfHC3tAwfJmn+siSDX5GVRSlKZrffSpJmV49rwOFKJVGpPMVKJVGoxQjoEkkSgqFKZtP0oMzWskUpzjBneT6S9XVav3y5SUZGkOIikrKUolW7vpbty3PRe7pLLs7ss7kEqkUrtwUIqkUotRkiHQJIIFFUqzRt1vPtTJgmct6xWKkftu4dUrq+VtW+8J23DRyS1OnmXu9Sl0tt72Xf1Peltiarr358/664eRyqRSu1hQiqRSi1GSIdAkggUVSq9q739oCXpNY2m/CM+dpD0+N83pfZPf5eW8fsmKQ4iKWu5SKUXlt2aqPf6RdJzy8sdSUYwt6deC9l33LGytudhkfAthUxG1fSR2o07pK29FGoTvg5IJVIZPorIAQLxIVBUqYwPhnAlsT2Vw045TqqX/knqHnlCmo74eLhME3h1OUqlt5nM1kS9Uj2X/Vfe3rGxuklv7bu7NIw+W3am5mFGsf9lAkOjo8hIZefWQyqRyiQ/z5QdAi4BpDKCmLBSWXPONOn9+0ek/q6F0njiKRHknKwsyl0qXcHsk+q97Lf67tSqnl1v7kEwRZBKpFL7VBsztI92CukQgEBMCSCVETSMlcrBl1wgfX+1QDbdfLs0TD8vgpyTlQVS2bm97JzK+neeSM+/NIt87Kshy1UwkUqkUvtUQyo1QqRDIL4EkMoI2sZK5cCrvy39f3STbPnO92Tb1y6LIOdkZYFU+kvl2o2NHQlmiNxPMKN+RWRcIwepRCq12EQqNUKkQyC+BJDKCNrGSmX/226Wgd+9UrbNulS2fPfaCHJOVhZIpS6V3jOyCaZ9//iO4SeLEc5SOZBKpFKLZaRSI0Q6BOJLAKmMoG2sVPa955cy+OKZ0vCFc2TTj+6IIOdkZYFU5iaVrmCaRT69Nv6x0zZF5hy70XpjSjDNop8kH0glUqnFL1KpESIdAvElgFRG0DZWKns/9qjUnP05aTzhJKn/1W8iyDlZWSCV+Uul98qqhhVitihy98E05xipbBx+SnrD9eYBExPXi4lUIpXapxpSqREiHQLxJYBURtA2Viqr/7pUhp10rDQddoTUPfpUBDknKwukMhqp9OZiFvaYVeR2qNy70McMizcP+GhaMJPSi4lUIpXapxpSqREiHQLxJYBURtA2Vip7vLVcRhxxoLTs9WGp/ctLEeScrCyQyuil0o0Auxem3zC57cXcOfRo2Tn4yFj2YiKVSKX2qYZUaoRIh0B8CSCVEbSNlcrKDXUyavw4aRs6TNYuXxlBzsnKAqksvFQG7cU055m5mDuHHJXedD0uQ+VIJVKpfaohlRoh0iEQXwJIZQRtY6VS2ttlzIj+6RxX124TqaiIIPfkZIFUdq9U5tKL6R0qN0PmxXqzD1KJVGqfaEilRoh0CMSXAFIZQdt0SGUqr9F7jZWKTRtlzVv/lPYhNRHknpwskMriSqXbi9lz66u7FvukVpR730tuzjOSaXsxd9YcJS0p0eyOA6lEKrU4Qyo1QqRDIL4EkMoI2sYrlSMPnShV/3hH1v31FWn90F4R5J6cLJDK+EilGzV2wU/PLa+kVpY/ImaFuffoLslEKpFK7RMNqdQIkQ6B+BJAKiNoG69UDjvhGKle9rysf+wZaZ50aAS5JycLpDK+UulGkZHKXpvMnph/TO2N+ayvZNqV5eb/Uc3JRCqRSu0TDanUCJEOgfgSKEupvHTObfL4kmXpVpkwfk9ZOH+O2kLPPf+qzLj8Jnn9mQVdzvVKZc0XTpfejy+W+nv+Sxo/faKabymdgFQmRypzlUxzvln4YwQzzOpypBKp1D7zkEqNEOkQiC+BspPKex96Su6462FZ8uCt6VaZNmOuTDpgvMyeeYZvK61ctU6mnHVFR5omlYMv/Ir0XXiPbLrtTmk44+z4tnwBSoZUJlcq3XDwDpf7zck055stjHYO+ZdoBpyXiVQildpHD1KpESIdAvElUHZS6UqkK5mZmsqcd80td6s9lQO/8w3p/58/ki1X/0C2XfC1+LZ8AUqGVJaOVPpJpln4Y18l2XPrK+LdiN2cb1eY297M5n4Tu7xWEqlEKrWPHqRSI0Q6BOJLoOykcvJpF8v550yVM089Nt0q2Ya1vc0WVCr733yDDLz2u7Ltktmy5aq58W35ApQMqSxdqfQLlx4pseyVmpNpBNNvXqbtzWzunxoy/9fQec24Q6V2ey9pay9AACYwy5oB1dLQ2CKNzW0JLH1hioxUFoYruUKgOwiUnVTud8y5ctUl07tI5eJ7rpdxY0dmZJ5NKjds2dlxXe9f/FT6XTJLGs/9kmy/9fbuaMPY3KO6Z5X06lkpWxuaY1OmYhaksrJCBvXtKRu3NRWzGN1274qmTdLTbF9Ul1r4s/Vl6ZFaaW5+5x5t/XaX5pRktgzcP/XfR6U1NU+zvXpwt5UzTjcakIqPnU2t0tSCVNp2GTqwV5yaiLJAAAI5ECg7qSxET6W3l6HywQek+ozPS9tpp0vTfffn0BTJP7Uqtdd7VUqkmlrphjKtaba+N5Jdzr1QFdvek8oNz0rlxpekYvPLUrkp9fpSH9Fs77+HtA2bLG2DD5D2wftL26D9RcpANKtTD01rqtuWR+b9z7/eqWeGAwIQSCaBspPKQs+prP7TszLsMydI08ePkrrf/SGZUZFnqRn+7gzO9FSOGNRL1m5szJNo6V1m5lTWr/xruhfT7JlpFgH12LGiy/xMU3OzEMgOnad/9pmjmXRCDH93bUGGv5Me1ZS/nAmUnVRqq79vnHefLFj4WJcFOUHnVPZY/oaM+PjBsvPY42XDwofKKraQSqRSC/hMC3XM/Mzq1H+aaHoXAzWnhs6bUkPnrb3HpRcJJfFAKpHKJMYtZYZAJgJlJ5UGRLZ9Kl2pdLcUMtefO+2ETlsQefeprNi8SUZ/aIy0Dxgoa95dW1aRh1QilVrA57L6227QbkTTLAbyW3Fu7+fd3ihJvZpIJVKpPTOkQyBJBMpSKqNuIK9UmrxHjxsmFQ0NsmbFemnv1y/q28U2P6QSqdSCMxep9MvLiGbP7a+m3wCUbdW5udb0Xrb0SQ2bp98IlOrRjOEQOlKJVGrPDOkQSBIBpDKC1nKlcsThB0iPt/9Xav/8grR8eJ8I7pCMLJBKpFKL1LBS6Ze/2S+zqnFlx/B5VWqOZs9tr3R59aS9Nk6yiVQildozQzoEkkQAqYygtVyp7HhV4y/vk8aTpkZwh2RkgVQilVqkFkIqM93TyqbZS9MsBtKG0L2yaeZpmp7NQs/ZRCqRSu2ZIR0CSSKAVEbQWq5UDvzON1Nv1blVtnzne7Lta5dFcIdkZIFUIpVapHanVGaTTfN2ICOZRja1nk2Tj12J3poaTjdD6lENpSOVSKX2zJAOgSQRQCojaC1XKvve9XMZ/PVZ0vCFc2TTj+6I4A7JyAKpRCq1SI2DVGo9m3YVehDZNL2bbT0Hpbc+MsJpV6S3Vw3q8opKv/silUil9syQDoEkEUAqI2gtVyqr//ycDJt6vDQderjU/f6/I7hDMrJAKpFKLVLjLJXZyu4uEDK9nJUtqbmcqQVDmQ7vcHp7j5R4prZAaktJqHe/TaQSqdSeGdIhkCQCSGUEreVKZWXtOhn1kT2lbegwWbt8ZQR3SEYWSCVSqUVqUqUySO+mEUyzYMgOq5s5ndkOM4RekXqDUHPVQGnsl3pVZarHs9BzOLX2iUM6m5/HoRUoAwTyI4BU5set01WuVJrE0XuMlIptW2XNe+ukvf+ACO4S/yyQSqRSi9JSk8ps9fWuSq9o3tyxUEjr4TR5ur2c3nmcZrg9qZu9a/Fh0pHKIJQ4BwLxJIBURtAuflI5/PijpecLy6Ru8dPSdMhhEdwl/lkglUilFqXlJJWacFamRHNI2xvSsukf0p56R7qdw2l+r/VyZpLOFrNqPcFvGEIqtSeIdAjEmwBSGUH7+EnlkAu+LH3u/7Vsuu1OaTjj7AjuEv8skEqkUotSpLIzoUxzKv16OStTw+lm/82g0mkXEJl5nHaLpJbeqZXrKemMc28nPZXaU0Q6BOJLAKmMoG38pHLATT+QAd+/WrZdMlu2XDU3grvEPwukEqnUohSpDCaVGkczf7OidXN6w3cztO7dGimIdJr8bW/nLsmMj3gilVrrkw6B+BJAKiNoGz+p7P27B6XmS2dL48mfkfoF90Zwl/hngVQilVqUIpXRSKXG2fR0Grk0r7RM93Cm3p9e0fIv+WxMLSjKsmrdm7d3yySveJqfzVB70K2TtPJ605HKXGhxLgTiRQCpjKA9/KSyx+uvyojJh0nLvvtJ7R//FsFd4p8FUolUalGKVHaPVGrtYNJtb2eP1Ip187Pp7fSKZ9AeT5OXWcne1mNXb2dY+UQqg7Qe50AgngSQygjaxU8qZedOGTN2iEivXrJ61cYI7hL/LJBKpFKLUqQyPlKptZVJt3M7jXiaHk+7bVL6Z/M7Za9O9x5GPs1hNos38mn27zQr2812Sna+58gP7BOkaJwDAQjEkABSGUGj+EplKt+RB+4jVf+3Utb9/X+kdfc9IrhTvLNAKpFKLUKRymRJpdaeNt3b6xlaPr/QHvS2nAcBCMSMAFIZQYNkksqhn5sqvZ5+Ujbc/zvZ+cnjIrhTvLNAKpFKLUKRytKUSq3ds8lnZWquZ6f5nqe+FzQ7zoMABGJGAKmMoEEySeWgb14m/X4yTzZf9x+y/asXRHCneGeBVCKVWoQileUtlVp8mHTmVAahxDkQiCcBpDKCdskklf1+Nl8GXXGpbP+3r8rmG26J4E7xzgKpRCq1CEUqkUotRpBKjRDpEIgvAaQygrbJJJW9lvy3DD39ZNk5+ZOy4YFFEdwp3lkglUilFqFIJVKpxQhSqREiHQLxJYBURtA2maSycs1qGTVxr/RrGs3rGkv9QCqRSi3GkUqkUosRpFIjRDoE4ksAqYygbTJJpcl61D6pLTRaW2Xd869I+5CaCO4W3yyQSqRSi06kEqnUYgSp1AiRDoH4EkAqI2ibbFJZc+6Z0nvR72TTzbdLw/TzIrhbfLNAKpFKLTqRSqRSixGkUiNEOgTiSwCpjKBtskll31/fJYO/dr40Hj9F6n/9QAR3i28WSCVSqUUnUolUajGCVGqESIdAfAkglRG0TTaprNxQt2sIvGdPWfP2amnv2zeCO8YzC6QSqdQiE6lEKrUYQSo1QqRDIL4EkMoI2iabVJrsh035hFT/7a9Sf9dCaTzxlAjuGM8skEqkUotMpBKp1GIEqdQIkQ6B+BJAKiNoG00q+99yowy8Zo40nDldNv14fgR3jGcWSCVSqUUmUolUajGCVGqESIdAfAkglRG0jSaVPd54XUYcdYi01QyVtctXilRURHDX+GWBVCKVWlQilUilFiNIpUaIdAjElwBSGUHbaFJpbjFqwoekcu0aqVv0pDQd/rEI7hq/LJBKpFKLSqQSqdRiBKnUCJEOgfgSQCojaJsgUjnoW/8u/e78T9k261LZ8t1rI7hr/LJAKpFKLSqRSqRSixGkUiNEOgTiSwCpjKBtgkilfWVj67jdZd0Lb0Rw1/hlgVQilVpUIpVIpRYjSKVGiHQIxJcAUhlB2wSRSnOb0buPEKmqknV/fVnahqd+LrEDqUQqtZBGKpFKLUaQSo0Q6RCILwGkMoK2CSqVg2d9Vfre9yvZcdrnZOOdv4zgzvHKAqlEKrWIRCqRSi1GkEqNEOkQiC8BpDKCtgkqlVUr3pORB38kfce6R5+SpsOOiODu8ckCqUQqtWhEKpFKLUaQSo0Q6RCILwGkMoK2CSqV5lb9f3i9DLxurrTs9WGp/dPf08PhpXIglUilFstIJVKpxQhSqREiHQLxJYBURtA2uUiltLTIiI8fLD3eeSu9CtysBi+VA6lEKrVYRiqRSi1GkEqNEOkQiC8BpDKCtslJKlP367nseRl+wjHS3qeP1P7lZWkdu1sEpSh+FkglUqlFIVKJVGoxglRqhEiHQHwJIJURtE2uUmluOfiyi6TvL38mrWPGpjdEN1sNJf1AKpFKLYaRSqRSixGkUiNEOgTiSwCpjKBt8pHKiq1bZOThB0jlurXSPniI1P/sbtk5+ZMRlKZ4WSCVSKUWfUglUqnFCFKpESIdAvElgFRG0Db5SKW5bdU7b8vQL5yWml/5dnrBzpar5sq2i74eQYmKkwVSiVRqkYdUIpVajCCVGiHSIRBfAkhlBG2Tr1SaW1ds2yaDL5kpfR56IF2SxiknS+OnPi2NJ56SuA3SkUqkUnuckEqkUosRpFIjRDoE4ksAqYygbcJIpb19v5/Mk0HfvKxTacw+lo0nfUZ2TP2stO72gQhKWtgskEqkUoswpBKp1GIEqdQIkQ6B+BJAJY62awAADa5JREFUKgO0zaVzbpPHlyxLnzlh/J6ycP6cTldFIZUmw6p3/yF9/+s+6b14kfR85aXOgnnIYSLV1dLWr7+0fmBcemFPy26p/5ufU8LZNmJkgJoU9hSkEqnUIgypRCq1GEEqNUKkQyC+BJBKpW3ufegpueOuh2XJg7emz5w2Y65MOmC8zJ55RseVUUmltyiVq1dJn0cflt6/f0R6LX1OzP6W2Y7apS9Ky97jixppSCVSqQUgUolUajGCVGqESIdAfAkglUrbuBLpSqa5vBBS6RarsnadVP3z/6Tq/1ZKj3+uTP9/18+p361cIWv+512R1L6XxTyQSqRSiz+kEqnUYgSp1AiRDoH4EkAqlbaZfNrFcv45U+XMU49Nn/nc86/KjMtvktefWdBx5dYd2XsR49v80ZasR1WF9KyqlB1NrdFmnNDcKipE+vXqIdsaiQ/bhP379JDtqeelPaFtGnWx+1RXSXNLm7S0QcSyHZCKEQ4IQCCZBJBKpd32O+ZcueqS6V2kcvE918u4scWfx5jMsKPUEIAABCAAAQiUGgGkkp7KyGKansrOKOmp7Bpa9FR2ZkJPZdcYoacyso9kMoJAtxNAKhXkcZlT2e2RkccNmVPZGVplZYWMGNRL1m5szINmaV7CnMrO7VozoFoaUtMjGpvbSrPB86gVcyrzgMYlEIgJAaRSaYhirf6OSXzkVAykEqnUAgapRCq1GEEqNUKkQyC+BJDKAG3TXftUBihKrE9BKpFKLUCRSqRSixGkUiNEOgTiSwCpjKBtumNLoQiKWfAskEqkUgsypBKp1GIEqdQIkQ6B+BJAKiNoG6RyF0SkEqnUHiekEqnUYgSp1AiRDoH4EkAq49s2lAwCEIAABCAAAQgkhgBSmZimoqAQgAAEIAABCEAgvgSQyvi2DSWDAAQgAAEIQAACiSGAVCamqZJT0Bvn3SeLnlgqSx68NTmFLmBJ7as9eQvTLsjw6Bps7pu7ChiOicwaPolsNgpdhgSQyjwbXdtmKM9sE3OZeSd6Xf3mjvLOv+EyOfLQiel/l7tU2tiw74cvZ4nyxol93Wm58jDPxYKFj/k+M+UkTe4LJSwQsyfwNbfc3cHHPj/mF+XEJzFfAhQUAj4EkMo8wiLIhuh5ZJuYS1auWic33/kbuXnurHSZ7ZeB/RIoZ6k0QvnCq2+lhbvcpdKIwLnTTpDZM8/oFNvlKJXuM+L+uxykyfuHuBsX5jNlyllXiO3NN58hy15aLgvnz0nHTjnwScwXAAWFQBYCSGUe4RHk1Y15ZJvYS/y+ELzD37aHxtubmdjKZim4qefqtXVy+kmTZcblN2WUSitVfsJVKlwsC/uHh7derlSWCw+vJLnPjCtN5t8Txu/ZIVWlEhemHqb3+uTjjuj0x4YrkeXMp5TamrqUHwGkMo82Nx+K558zVc489dj01fZL0Ttck0e2ib3Erb+3p9Lt1U1sJZWCe78UXR5eiTLZeHtkSpWH+cNr7fr6TlMkbC9UOfKwvW3Dagal5xq70u2VSvfzpdRixE8qTS+mObx/hBgm9g/RcuJTau1NfcqLAFKZR3u7vQrlOJznxeZ+SVipvPYbX+7UY5cH6kRc4opzNqk0QlnqPbZ+vVG2t9r84eV9XsqFh2HiirY3DuxnykOLn5NJB4zvMmUgEQ9CwEL6SaVhM2bU0C5SaefhlhOfgBg5DQKxJIBU5tEs9FS+D82wOGji3p2+DLwLEkp5iNdS8M4Vc8PJ9M6tXFWblmtzlOqQpltv9xnxDmeWIw+3Z9KKtbcnzjIs9RGPfHsqy4VPHl9JXAKB2BBAKvNoCuZU7oLmJ5Tm995eqVIfyvMLn0w9lUYgHnh0SfoSv7mGeYRibC9xnxE/qSxnHqbhvCMedlHTbqOHyx13PVzS23HlO6fS/IFaDnxi+1BTMAgEIIBUBoDknlLuq7/tF2KmXkh39bd3blQeuBN3Sbbh73FjR6aHQUt9iNNd3Wx6c1ev3ZBeeOJOFykHHt4/tExAWz52nqlXMN1FK4l7AJQC+0llLqu/S51PqbU39SkvAkhlnu1dzvtUuvvJWYTHT56U7oFzpdJ+YZTDULhhoUml7eUdNbymJFf32njwToOwC1S8fLybwRvRKHUe7jQJb/3dedruXqd5fkzF6jK/aSLeof5c9qksRT6xaiwKA4E8CSCVeYLjMghAAAIQgAAEIACB9wkglUQDBCAAAQhAAAIQgEBoAkhlaIRkAAEIQAACEIAABCCAVBIDEIAABCAAAQhAAAKhCSCVoRGSAQQgAAEIQAACEIAAUkkMQAACEIAABCAAAQiEJoBUhkZIBhCAAAQgAAEIQAACSCUxAAEIQAACEIAABCAQmgBSGRohGUAAAhCAAAQgAAEIIJXEAAQgAAEIQAACEIBAaAJIZWiEZAABCEAAAhCAAAQggFQSAxCAAAQgAAEIQAACoQkglaERkgEEIAABCEAAAhCAAFJJDEAAAhCAAAQgAAEIhCaAVIZGSAYQgAAEIAABCEAAAkglMQABCEAAAhCAAAQgEJoAUhkaIRlAAAIQgAAEIAABCCCVxAAEIAABCEAAAhCAQGgCSGVohGRQTgRunHefLFj4WJcqv/7MArn3oafkmlvulqsumS5nnnpsp3MunXObPL5kmSy+53oZN3akZMvnuedflRmX35QVq7mHOcz9/A5bBlumCeP3lIXz53Q61ZbBL82euN8x52Ytx/GTJ6XTTd3sce60E2T2zDNk5ap1MuWsK9K/Nny8h7eONs2WNVt9yinWqCsEIACBpBFAKpPWYpS3aASsGLqCZH5/6IH7pkXSipr3HCtQ82+4TI48dKIEycdbSXP+6rUbukihlTC3PN5rvaJmhdamTz7tYqmr3yzZpNIvL7/72Tp67+GVSle0LQOvcAapT9EanxtDAAIQgIBKAKlUEXECBHYRML12thcuGxMjawdN3FtunjsrfZr776D52HuElco77no4XR5z2DIZgTO/HzW8Jv17txfTr37ZpC+bVBpmi55YKksevDWdrZVN08tpejjdnspskkwsQgACEIBAfAkglfFtG0oWMwKuHGYqnrdncunfX+8kVH6SqVUzCqm8+8ffSg9F257EaTPmyqlTjpSHFj9XcKk095x+0XVy/jlTO3pzV6+tkzGjhqWnEiCVWgSQDgEIQCAZBJDKZLQTpYwBAb85f5l61bzDu3bY21Yhl3zMNZpU+qHxzqk0PZKml9CI5JhRQ+X0kybLlT/4acfvCt1TaaRy4cNPd8i16am1v/OTymz1iUEYUAQIQAACEMhAAKkkNCCQBwE7H9Fe6oqj+b2RJzPEa4ec/W4TJB9NKrU5lVYqbQ+qmUNpeinNHFAjmt0hlWZxkuFh7m3E1jBx558ypzKPQOQSCEAAAjEigFTGqDEoSjIJGDE0cxPdeYlBh8ttrTPlE5VUmvsYiXxt+bsdQ87dKZVWIq2AI5XJjHdKDQEIQCATAaSS2IBAAAJmcYkZwjVb5bhHJjHzk8p88olSKk1v4D/XrO+oR3dKpan77Kvv6JBvpDJA4HEKBCAAgQQRQCoT1FgUtXgE7IrlYTWDOlYxm9LYIVu/4e9MUmkWzOSST5RSGVSI/Ujnu/rb3crI5o1UFi+euTMEIACBQhBAKgtBlTxLloDfZuCZpCnb8Hcu+WhS6Qfbb6GO33lR9FR6FyWZe7ibn+cqldnqU7KBRcUgAAEIlAABpLIEGpEqQAACEIAABCAAgWITQCqL3QLcHwIQgAAEIAABCJQAAaSyBBqRKkAAAhCAAAQgAIFiE0Aqi90C3B8CEIAABCAAAQiUAAGksgQakSpAAAIQgAAEIACBYhNAKovdAtwfAhCAAAQgAAEIlAABpLIEGpEqQAACEIAABCAAgWITQCqL3QLcHwIQgAAEIAABCJQAAaSyBBqRKkAAAhCAAAQgAIFiE0Aqi90C3B8CEIAABCAAAQiUAAGksgQakSpAAAIQgAAEIACBYhNAKovdAtwfAhCAAAQgAAEIlAABpLIEGpEqQAACEIAABCAAgWITQCqL3QLcHwIQgAAEIAABCJQAAaSyBBqRKkAAAhCAAAQgAIFiE0Aqi90C3B8CEIAABCAAAQiUAAGksgQakSpAAAIQgAAEIACBYhNAKovdAtwfAhCAAAQgAAEIlAABpLIEGpEqQAACEIAABCAAgWITQCqL3QLcHwIQgAAEIAABCJQAAaSyBBqRKkAAAhCAAAQgAIFiE0Aqi90C3B8CEIAABCAAAQiUAAGksgQakSpAAAIQgAAEIACBYhNAKovdAtwfAhCAAAQgAAEIlAABpLIEGpEqQAACEIAABCAAgWITQCqL3QLcHwIQgAAEIAABCJQAAaSyBBqRKkAAAhCAAAQgAIFiE0Aqi90C3B8CEIAABCAAAQiUAAGksgQakSpAAAIQgAAEIACBYhNAKovdAtwfAhCAAAQgAAEIlAABpLIEGpEqQAACEIAABCAAgWITQCqL3QLcHwIQgAAEIAABCJQAAaSyBBqRKkAAAhCAAAQgAIFiE0Aqi90C3B8CEIAABCAAAQiUAAGksgQakSpAAAIQgAAEIACBYhNAKovdAtwfAhCAAAQgAAEIlAABpLIEGpEqQAACEIAABCAAgWITQCqL3QLcHwIQgAAEIAABCJQAAaSyBBqRKkAAAhCAAAQgAIFiE/j/m09JEdl8TfkAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Combine the last 2 plots\n", "PlotlyHelper.combine_plots(fig_list=[fig_freq_2, fig_freq_10], \n", " title=\"Superposed plots for frequency 2 and 10\",\n", " curve_labels=[\"Component of frequency=2\", \"Component of frequency=10\"])" ] }, { "cell_type": "markdown", "id": "8af00164-7535-4e85-90fb-05c971ea44f0", "metadata": {}, "source": [ "## Note how more more substantial the attenuation of the higher frequency (red) is!" ] }, { "cell_type": "code", "execution_count": null, "id": "078f3203-824a-4832-b30f-7576e02a2561", "metadata": { "tags": [] }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" }, "toc-autonumbering": false, "toc-showcode": true, "toc-showmarkdowntxt": false }, "nbformat": 4, "nbformat_minor": 5 }