{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Create Synthetic Neural Manifolds\n",
"\n",
"This notebook explains how to use the module `synthetic` to generate points on neural manifolds in neural state space."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Set-up"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Working directory: /home/facosta/neurometry/neurometry\n",
"Directory added to path: /home/facosta/neurometry\n",
"Directory added to path: /home/facosta/neurometry/neurometry\n",
"The autoreload extension is already loaded. To reload it, use:\n",
" %reload_ext autoreload\n",
"The jupyter_black extension is already loaded. To reload it, use:\n",
" %reload_ext jupyter_black\n"
]
}
],
"source": [
"import setup\n",
"\n",
"setup.main()\n",
"%load_ext autoreload\n",
"%autoreload 2\n",
"%load_ext jupyter_black\n",
"\n",
"import neurometry.datasets.synthetic as synthetic\n",
"import numpy as np\n",
"\n",
"import matplotlib.pyplot as plt\n",
"\n",
"\n",
"import os\n",
"\n",
"os.environ[\"GEOMSTATS_BACKEND\"] = \"pytorch\"\n",
"import geomstats.backend as gs\n",
"\n",
"import plotly.graph_objects as go\n",
"from plotly.subplots import make_subplots\n",
"import torch"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"set random seed"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"g_cpu = torch.Generator()\n",
"g_cpu.manual_seed(2147483647);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ring $\\mathcal{S}^1$ in Neural State Space $\\mathbb{R}^3$\n",
"\n",
"We use $N=3$ encoding vectors to represent the recording of $N=3$ neurons.\n",
"\n",
"We will project the latent manifold $\\mathcal{S}^1$ (minimal embedding dimension $d=2$) into $N$-dimensional neural state space ($N=3$) with a $d\\times N$ matrix $A$. The entries of $A$ are randomly sampled from a uniform distribution $U[-1,1]$ and its columns are random encoding vectors. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Generate points on task manifold (`task_points`) and neural manifold points (`noisy_points`, `manifold_points`):"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"task_points, intrinsic_coords = synthetic.hypersphere(1, 1000)\n",
"noisy_points, manifold_points = synthetic.synthetic_neural_manifold(\n",
" points=task_points,\n",
" encoding_dim=3,\n",
" nonlinearity=\"sigmoid\",\n",
" scales=gs.array([5, 3, 1]),\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mean firing rate: 100.48 Hz\n"
]
},
{
"data": {
"text/html": [
" \n",
" "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"marker": {
"color": [
[
0,
1,
0.3625004724974957,
1
],
[
0.26176306139541405,
0,
1,
1
],
[
1,
0,
0.858088999633117,
1
],
[
0.8408077580871701,
0,
1,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
1,
0,
0.9275743632361277,
1
],
[
0,
0.826840968385086,
1,
1
],
[
0.5176455764691059,
1,
0,
1
],
[
0.8419106066164891,
1,
0,
1
],
[
0,
1,
0.15404569495487538,
1
],
[
1,
0.8569861511037979,
0,
1
],
[
1,
0.8569861511037979,
0,
1
],
[
0,
1,
0.47830868224339584,
1
],
[
0.9577195459548403,
1,
0,
1
],
[
0,
1,
0.8720565953794563,
1
],
[
1,
0.04632357573534044,
0,
1
],
[
1,
0.34742681801505326,
0,
1
],
[
0,
1,
0.1772073369040554,
1
],
[
0.2860276977924041,
1,
0,
1
],
[
0,
0.9426499077234377,
1,
1
],
[
0,
0.36360521103168175,
1,
1
],
[
1,
0,
0.4875003937503936,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
0,
0.6647084533113945,
1,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
0.8871313338225106,
0,
1,
1
],
[
0,
0.5025759382377031,
1,
1
],
[
0.14595412205706287,
0,
1,
1
],
[
0.309189485660074,
1,
0,
1
],
[
0.8187488187488188,
1,
0,
1
],
[
0.015808151837563643,
1,
0.030883696324872714,
1
],
[
0,
0.17831090809032013,
1,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
0,
1,
0.8720565953794563,
1
],
[
0,
0.8500027562527561,
1,
1
],
[
0.726101667278138,
1,
0,
1
],
[
1,
0,
0.27904430294136173,
1
],
[
1,
0,
0.8812507875007872,
1
],
[
0,
0.201472695957991,
1,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0,
0.7341938169144051,
1,
1
],
[
1,
0,
0.18639715147068092,
1
],
[
1,
0.8106625753684576,
0,
1
],
[
0,
1,
0.825733311481096,
1
],
[
1,
0.3937503937503937,
0,
1
],
[
0.008087555881673585,
1,
0.04632488823665283,
1
],
[
0.26176306139541405,
0,
1,
1
],
[
0,
1,
0.9647031631761764,
1
],
[
0,
0.31728163529634135,
1,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
1,
0,
0.20955893933835112,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
0,
1,
0.15404569495487538,
1
],
[
0.9882349698526169,
0.9610300602947661,
0,
1
],
[
0.23860127352774382,
0,
1,
1
],
[
0.10073339485104227,
1,
0,
1
],
[
0.7018370308811488,
0,
1,
1
],
[
1,
0.5558829088240852,
0,
1
],
[
1,
0,
0.32536787867670214,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
0.023161131617013827,
0.016177736765972346,
1,
1
],
[
1,
0,
0.7886036360301064,
1
],
[
0.7724252430134786,
1,
0,
1
],
[
0.015808151837563643,
1,
0.030883696324872714,
1
],
[
0,
0.201472695957991,
1,
1
],
[
0.6102927279397868,
1,
0,
1
],
[
0.19338054632172286,
1,
0,
1
],
[
0.44705736433677606,
0,
1,
1
],
[
1,
0.3705886058827235,
0,
1
],
[
0.023161131617013827,
0.016177736765972346,
1,
1
],
[
0.14595412205706287,
0,
1,
1
],
[
0.33124842499842483,
0,
1,
1
],
[
1,
0.3705886058827235,
0,
1
],
[
1,
0,
0.1400735757353404,
1
],
[
1,
0.2316178786767022,
0,
1
],
[
0.3544102128660951,
0,
1,
1
],
[
1,
0.16213251507369153,
0,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
0.9955879496320674,
0,
0.9463241007358653,
1
],
[
0.4713220007337658,
1,
0,
1
],
[
0,
1,
0.8720565953794563,
1
],
[
0.8871313338225106,
0,
1,
1
],
[
0,
0.38676699889935195,
1,
1
],
[
1,
0,
0.41801503014738306,
1
],
[
1,
0.8106625753684576,
0,
1
],
[
0.6555134551458082,
0,
1,
1
],
[
0,
0.7573556047820753,
1,
1
],
[
0,
0.8500027562527561,
1,
1
],
[
0.9805143738967269,
0.9764712522065463,
0,
1
],
[
0,
1,
0.547793608090936,
1
],
[
0.14705697058638245,
1,
0,
1
],
[
0.724998818748819,
0,
1,
1
],
[
0,
0.38676699889935195,
1,
1
],
[
0.47021915220444627,
0,
1,
1
],
[
1,
0.5095593330887448,
0,
1
],
[
0,
0.8500027562527561,
1,
1
],
[
0.16911590992473247,
0,
1,
1
],
[
0.12279233418939263,
0,
1,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
0,
0.17831090809032013,
1,
1
],
[
0,
1,
0.9183798792778164,
1
],
[
0.6102927279397868,
1,
0,
1
],
[
0,
0.7341938169144051,
1,
1
],
[
0.40073378860143555,
0,
1,
1
],
[
0.3323512735277442,
1,
0,
1
],
[
0,
1,
0.6867634597860162,
1
],
[
1,
0,
0.742280060294766,
1
],
[
0,
1,
0.43198539834503574,
1
],
[
1,
0.09264715147068088,
0,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
0.7492634551458082,
1,
0,
1
],
[
0.12389518271871214,
1,
0,
1
],
[
0,
0.10882554448730952,
1,
1
],
[
1,
0.5558829088240852,
0,
1
],
[
1,
0.2316178786767022,
0,
1
],
[
1,
0,
0.6727946966917553,
1
],
[
0.9878673536761773,
0,
0.9617652926476454,
1
],
[
1,
0,
0.6264711209564149,
1
],
[
0,
0.5952230897083839,
1,
1
],
[
1,
0.16213251507369153,
0,
1
],
[
1,
0.32426503014738306,
0,
1
],
[
0,
1,
0.10772241105651532,
1
],
[
0.44705736433677606,
0,
1,
1
],
[
0.42389557646910575,
0,
1,
1
],
[
0,
1,
0.20036897885323546,
1
],
[
0,
1,
0.8488949534302763,
1
],
[
0.9334549095578512,
0,
1,
1
],
[
1,
0.6485300602947661,
0,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0.2860276977924041,
1,
0,
1
],
[
0,
0.38676699889935195,
1,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
0.5397045158074564,
0,
1,
1
],
[
1,
0.2316178786767022,
0,
1
],
[
0,
1,
0.5014703241925758,
1
],
[
1,
0,
0.742280060294766,
1
],
[
1,
0.2779414544120426,
0,
1
],
[
0.6797780915427977,
1,
0,
1
],
[
0,
1,
0.8025716695319163,
1
],
[
0,
1,
0.15404569495487538,
1
],
[
0.7029398794104678,
1,
0,
1
],
[
1,
0,
0.9044125753684575,
1
],
[
0,
1,
0.9183798792778164,
1
],
[
1,
0.9033097268391386,
0,
1
],
[
0,
1,
0.6636018178368361,
1
],
[
0,
0.9426499077234377,
1,
1
],
[
1,
0.02316178786767022,
0,
1
],
[
0,
0.5488995139730435,
1,
1
],
[
0,
0.13198733235497973,
1,
1
],
[
0,
0.6415466654437243,
1,
1
],
[
1,
0.20845609080903196,
0,
1
],
[
0.23860127352774382,
0,
1,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
0.9566166974255214,
0,
1,
1
],
[
1,
0,
0.742280060294766,
1
],
[
0,
0.9658116955911072,
1,
1
],
[
0.9577195459548403,
1,
0,
1
],
[
0.6786752430134784,
0,
1,
1
],
[
0,
1,
0.43198539834503574,
1
],
[
1,
0,
0.4875003937503936,
1
],
[
0,
1,
0.9183798792778164,
1
],
[
0.6566163036751272,
1,
0,
1
],
[
0.21654233418939306,
1,
0,
1
],
[
0.33124842499842483,
0,
1,
1
],
[
1,
0,
0.8117654238977766,
1
],
[
0,
0.6415466654437243,
1,
1
],
[
1,
0.16213251507369153,
0,
1
],
[
0,
1,
0.6867634597860162,
1
],
[
0.26176306139541405,
0,
1,
1
],
[
0.053306970586381903,
0,
1,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
0.9805143738967269,
0.9764712522065463,
0,
1
],
[
0.00771993970523371,
0.04706012058953258,
1,
1
],
[
1,
0.1389707272060213,
0,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
0,
1,
0.547793608090936,
1
],
[
0,
1,
0.9647031631761764,
1
],
[
0.7481606066164892,
0,
1,
1
],
[
0,
0.826840968385086,
1,
1
],
[
1,
0.9033097268391386,
0,
1
],
[
1,
0.5790446966917554,
0,
1
],
[
0.6566163036751272,
1,
0,
1
],
[
0,
1,
0.45514704029421543,
1
],
[
0.5165427279397867,
0,
1,
1
],
[
0,
1,
0.13088405300569536,
1
],
[
0,
1,
0.594116891989296,
1
],
[
0.5871309400721167,
1,
0,
1
],
[
1,
0.6485300602947661,
0,
1
],
[
0.6786752430134784,
0,
1,
1
],
[
0.5176455764691059,
1,
0,
1
],
[
0.17021875845405265,
1,
0,
1
],
[
1,
0.9033097268391386,
0,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
0,
0.4562523625023627,
1,
1
],
[
0,
0.10882554448730952,
1,
1
],
[
0.9801467577202873,
0,
0.9772064845594255,
1
],
[
0,
1,
0.3856621144466757,
1
],
[
1,
0.3705886058827235,
0,
1
],
[
1,
0,
0.30220609080903194,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
1,
0.34742681801505326,
0,
1
],
[
0,
1,
0.3856621144466757,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
1,
0.04632357573534044,
0,
1
],
[
1,
0.6022064845594256,
0,
1
],
[
0,
1,
0.7099251017351961,
1
],
[
0.3555130613954144,
1,
0,
1
],
[
0,
0.08566375661963932,
1,
1
],
[
0,
1,
0.15404569495487538,
1
],
[
0,
1,
0.9415415212269964,
1
],
[
1,
0,
0.30220609080903194,
1
],
[
1,
0.2779414544120426,
0,
1
],
[
0.5628663036751272,
0,
1,
1
],
[
0,
1,
0.10772241105651532,
1
],
[
1,
0.1389707272060213,
0,
1
],
[
0.07646875845405214,
0,
1,
1
],
[
1,
0,
0.27904430294136173,
1
],
[
0.14595412205706287,
0,
1,
1
],
[
1,
0,
0.858088999633117,
1
],
[
0.309189485660074,
1,
0,
1
],
[
0,
1,
0.825733311481096,
1
],
[
0,
0.5720613018407144,
1,
1
],
[
0.7492634551458082,
1,
0,
1
],
[
1,
0,
0.8812507875007872,
1
],
[
0,
1,
0.2698539047007752,
1
],
[
1,
0,
0.1400735757353404,
1
],
[
0,
1,
0.10772241105651532,
1
],
[
0.09963054632172239,
0,
1,
1
],
[
0.6102927279397868,
1,
0,
1
],
[
0,
1,
0.43198539834503574,
1
],
[
0,
1,
0.5014703241925758,
1
],
[
0,
0.34044342316401155,
1,
1
],
[
0.7724252430134786,
1,
0,
1
],
[
1,
0.6253682724270958,
0,
1
],
[
0,
0.27095805956100094,
1,
1
],
[
0,
0.9194881198557668,
1,
1
],
[
1,
0.7875007875007874,
0,
1
],
[
0.7492634551458082,
1,
0,
1
],
[
0,
1,
0.20036897885323546,
1
],
[
0,
1,
0.47830868224339584,
1
],
[
0.4713220007337658,
1,
0,
1
],
[
0,
1,
0.7794100275827363,
1
],
[
0,
1,
0.7794100275827363,
1
],
[
1,
0,
0.9275743632361277,
1
],
[
1,
0.532721120956415,
0,
1
],
[
0,
1,
0.8952182373286364,
1
],
[
1,
0,
0.742280060294766,
1
],
[
0.7018370308811488,
0,
1,
1
],
[
0,
0.9194881198557668,
1,
1
],
[
0,
1,
0.22353062080241548,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
0.8176459702194999,
0,
1,
1
],
[
0,
1,
0.9183798792778164,
1
],
[
1,
0.6485300602947661,
0,
1
],
[
1,
0.6716918481624363,
0,
1
],
[
0,
1,
0.8720565953794563,
1
],
[
0,
0.36360521103168175,
1,
1
],
[
1,
0.06948536360301065,
0,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
0.015808151837563643,
1,
0.030883696324872714,
1
],
[
1,
0.4632357573534044,
0,
1
],
[
0,
1,
0.2466922627515955,
1
],
[
1,
0,
0.6727946966917553,
1
],
[
0.8650723944841594,
1,
0,
1
],
[
0.5397045158074564,
0,
1,
1
],
[
0.9113959702194997,
1,
0,
1
],
[
1,
0,
0.41801503014738306,
1
],
[
1,
0,
0.4875003937503936,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0,
1,
0.5014703241925758,
1
],
[
0.12389518271871214,
1,
0,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
1,
0.18529430294136176,
0,
1
],
[
0.633454515807457,
1,
0,
1
],
[
0.3555130613954144,
1,
0,
1
],
[
0.30808663713075457,
0,
1,
1
],
[
1,
0.09264715147068088,
0,
1
],
[
0,
1,
0.2466922627515955,
1
],
[
0,
1,
0.4088237563958557,
1
],
[
0,
0.5952230897083839,
1,
1
],
[
0.5397045158074564,
0,
1,
1
],
[
0,
0.5488995139730435,
1,
1
],
[
0.2628659099247336,
1,
0,
1
],
[
0,
1,
0.43198539834503574,
1
],
[
1,
0.741177211765447,
0,
1
],
[
1,
0.02316178786767022,
0,
1
],
[
1,
0.532721120956415,
0,
1
],
[
0.44705736433677606,
0,
1,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0.03124934374934376,
1,
0.0000013125013124790507,
1
],
[
0,
1,
0.22353062080241548,
1
],
[
1,
0,
0.4643386058827234,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
1,
0,
0.23272072720602122,
1
],
[
0.19227769779240333,
0,
1,
1
],
[
0.47021915220444627,
0,
1,
1
],
[
0,
1,
0.3625004724974957,
1
],
[
0.30808663713075457,
0,
1,
1
],
[
1,
0.7180154238977768,
0,
1
],
[
0,
0.34044342316401155,
1,
1
],
[
0.8639695459548403,
0,
1,
1
],
[
0.14595412205706287,
0,
1,
1
],
[
0.7724252430134786,
1,
0,
1
],
[
0.9955879496320674,
0,
0.9463241007358653,
1
],
[
0.8187488187488188,
1,
0,
1
],
[
0.4944837886014357,
1,
0,
1
],
[
0.21654233418939306,
1,
0,
1
],
[
0,
0.13198733235497973,
1,
1
],
[
0.632351667278138,
0,
1,
1
],
[
0.2154394856600736,
0,
1,
1
],
[
1,
0,
0.6033093330887447,
1
],
[
1,
0.6485300602947661,
0,
1
],
[
0.4933809400721165,
0,
1,
1
],
[
0.9955879496320674,
0,
0.9463241007358653,
1
],
[
0.632351667278138,
0,
1,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
0,
0.34044342316401155,
1,
1
],
[
0,
0.34044342316401155,
1,
1
],
[
0.12279233418939263,
0,
1,
1
],
[
1,
0,
0.8812507875007872,
1
],
[
0.5165427279397867,
0,
1,
1
],
[
1,
0.6948536360301065,
0,
1
],
[
0.7029398794104678,
1,
0,
1
],
[
0.5639691522044463,
1,
0,
1
],
[
0,
1,
0.08456076910733497,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
0,
1,
0.08456076910733497,
1
],
[
0.3544102128660951,
0,
1,
1
],
[
0.008087555881673585,
1,
0.04632488823665283,
1
],
[
0,
0.4562523625023627,
1,
1
],
[
0.12279233418939263,
0,
1,
1
],
[
1,
0,
0,
1
],
[
1,
0.06948536360301065,
0,
1
],
[
0.00771993970523371,
0.04706012058953258,
1,
1
],
[
0.14705697058638245,
1,
0,
1
],
[
0,
1,
0.22353062080241548,
1
],
[
1,
0.1389707272060213,
0,
1
],
[
0.5628663036751272,
0,
1,
1
],
[
0.2860276977924041,
1,
0,
1
],
[
1,
0.7875007875007874,
0,
1
],
[
0,
0.7805173926497455,
1,
1
],
[
1,
0,
0.6959564845594255,
1
],
[
1,
0,
0.742280060294766,
1
],
[
0,
1,
0.45514704029421543,
1
],
[
1,
0,
0.5338239694857341,
1
],
[
0,
0.22463448382566054,
1,
1
],
[
1,
0.532721120956415,
0,
1
],
[
1,
0,
0.32536787867670214,
1
],
[
1,
0.4632357573534044,
0,
1
],
[
0,
1,
0.6636018178368361,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
1,
0,
0.6727946966917553,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
1,
0,
0.5106621816180639,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
0,
0.8036791805174157,
1,
1
],
[
1,
0,
0.6033093330887447,
1
],
[
0.632351667278138,
0,
1,
1
],
[
1,
0.48639754522107453,
0,
1
],
[
0.9727937779408368,
0.9919124441183264,
0,
1
],
[
1,
0.8338243632361279,
0,
1
],
[
1,
0,
0.4643386058827234,
1
],
[
1,
0.4400739694857342,
0,
1
],
[
1,
0.8801479389714684,
0,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
0.9801467577202873,
0,
0.9772064845594255,
1
],
[
0.42389557646910575,
0,
1,
1
],
[
0.5871309400721167,
1,
0,
1
],
[
0.21654233418939306,
1,
0,
1
],
[
0.4933809400721165,
0,
1,
1
],
[
0,
1,
0.8488949534302763,
1
],
[
0,
1,
0.6636018178368361,
1
],
[
0,
0.31728163529634135,
1,
1
],
[
0,
1,
0.47830868224339584,
1
],
[
0,
0.5488995139730435,
1,
1
],
[
1,
0.4400739694857342,
0,
1
],
[
1,
0.764338999633117,
0,
1
],
[
0.7018370308811488,
0,
1,
1
],
[
0,
1,
0.8952182373286364,
1
],
[
0.8871313338225106,
0,
1,
1
],
[
0.3775720007337653,
0,
1,
1
],
[
1,
0.6716918481624363,
0,
1
],
[
0.4944837886014357,
1,
0,
1
],
[
0.23860127352774382,
0,
1,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
1,
0.1158089393383511,
0,
1
],
[
0,
1,
0.43198539834503574,
1
],
[
0.053306970586381903,
0,
1,
1
],
[
0.6786752430134784,
0,
1,
1
],
[
0.5871309400721167,
1,
0,
1
],
[
0,
1,
0.5246319661417559,
1
],
[
0,
0.9889734834587774,
1,
1
],
[
0,
0.15514912022264993,
1,
1
],
[
0.0003669599257835228,
1,
0.061766080148432954,
1
],
[
0,
0.8500027562527561,
1,
1
],
[
0.6102927279397868,
1,
0,
1
],
[
1,
0.09264715147068088,
0,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0.9577195459548403,
1,
0,
1
],
[
1,
0.6253682724270958,
0,
1
],
[
0.6091898794104678,
0,
1,
1
],
[
0.4933809400721165,
0,
1,
1
],
[
0.008087555881673585,
1,
0.04632488823665283,
1
],
[
0.7713223944841594,
0,
1,
1
],
[
1,
0,
0,
1
],
[
0.726101667278138,
1,
0,
1
],
[
0.03124934374934376,
1,
0.0000013125013124790507,
1
],
[
0,
1,
0.617278533938476,
1
],
[
0.8419106066164891,
1,
0,
1
],
[
0.632351667278138,
0,
1,
1
],
[
1,
0.6022064845594256,
0,
1
],
[
0,
1,
0.33933883054831565,
1
],
[
1,
0,
0.5801475452210745,
1
],
[
0.4018366371307548,
1,
0,
1
],
[
0,
0.8731645441204264,
1,
1
],
[
1,
0.09264715147068088,
0,
1
],
[
0,
1,
0.7330867436843761,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
1,
0.6022064845594256,
0,
1
],
[
0.5397045158074564,
0,
1,
1
],
[
0,
0.9426499077234377,
1,
1
],
[
0,
0.5025759382377031,
1,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0.7492634551458082,
1,
0,
1
],
[
0,
1,
0.8025716695319163,
1
],
[
0,
0.826840968385086,
1,
1
],
[
1,
0,
0.7886036360301064,
1
],
[
0.6102927279397868,
1,
0,
1
],
[
0,
1,
0.2698539047007752,
1
],
[
1,
0.06948536360301065,
0,
1
],
[
1,
0,
0.4643386058827234,
1
],
[
1,
0,
0.30220609080903194,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
1,
0,
0.742280060294766,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
0.26176306139541405,
0,
1,
1
],
[
0,
1,
0.1772073369040554,
1
],
[
0.4944837886014357,
1,
0,
1
],
[
1,
0.09264715147068088,
0,
1
],
[
0.2860276977924041,
1,
0,
1
],
[
0,
1,
0.9878648051253566,
1
],
[
0.9801467577202873,
0,
0.9772064845594255,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
1,
0.2779414544120426,
0,
1
],
[
0.4713220007337658,
1,
0,
1
],
[
1,
0.1389707272060213,
0,
1
],
[
0.424998424998425,
1,
0,
1
],
[
0.19338054632172286,
1,
0,
1
],
[
0.7492634551458082,
1,
0,
1
],
[
0.633454515807457,
1,
0,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
1,
0.4632357573534044,
0,
1
],
[
0.07646875845405214,
0,
1,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
0.9113959702194997,
1,
0,
1
],
[
0.4713220007337658,
1,
0,
1
],
[
1,
0,
0.09375,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
0,
1,
0.825733311481096,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
0.21654233418939306,
1,
0,
1
],
[
0.9577195459548403,
1,
0,
1
],
[
0,
1,
0.5709552500401159,
1
],
[
1,
0,
0.4411768180150532,
1
],
[
1,
0,
0,
1
],
[
1,
0,
0.858088999633117,
1
],
[
0.5860280915427974,
0,
1,
1
],
[
0.7944841823518297,
0,
1,
1
],
[
1,
0,
0.7191182724270964,
1
],
[
1,
0,
0.30220609080903194,
1
],
[
1,
0,
0.20955893933835112,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
1,
0,
0.27904430294136173,
1
],
[
0.3786748492630846,
1,
0,
1
],
[
0,
1,
0.9183798792778164,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
0.424998424998425,
1,
0,
1
],
[
1,
0.2316178786767022,
0,
1
],
[
1,
0.2547796665443724,
0,
1
],
[
1,
0.8801479389714684,
0,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
0.40073378860143555,
0,
1,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
0,
1,
0.5014703241925758,
1
],
[
0.47021915220444627,
0,
1,
1
],
[
1,
0.6253682724270958,
0,
1
],
[
0,
1,
0.2466922627515955,
1
],
[
1,
0,
0.7886036360301064,
1
],
[
0.4944837886014357,
1,
0,
1
],
[
1,
0.7875007875007874,
0,
1
],
[
0.424998424998425,
1,
0,
1
],
[
0.9727937779408368,
0.9919124441183264,
0,
1
],
[
0.015808151837563643,
1,
0.030883696324872714,
1
],
[
0,
1,
0.9183798792778164,
1
],
[
0.8639695459548403,
0,
1,
1
],
[
1,
0,
0.1400735757353404,
1
],
[
1,
0,
0.4643386058827234,
1
],
[
0.42389557646910575,
0,
1,
1
],
[
0,
1,
0.3161771885991356,
1
],
[
0.93455775808717,
1,
0,
1
],
[
0,
0.24779627169333063,
1,
1
],
[
0,
0.8963263319880966,
1,
1
],
[
0,
1,
0.45514704029421543,
1
],
[
0.4481602128660953,
1,
0,
1
],
[
0.9878673536761773,
0,
0.9617652926476454,
1
],
[
1,
0,
0.1169117878676702,
1
],
[
0,
0.40992878676702216,
1,
1
],
[
0.7724252430134786,
1,
0,
1
],
[
0,
0.08566375661963932,
1,
1
],
[
1,
0.32426503014738306,
0,
1
],
[
0,
1,
0.5246319661417559,
1
],
[
1,
0.2547796665443724,
0,
1
],
[
0,
1,
0.7099251017351961,
1
],
[
0.7018370308811488,
0,
1,
1
],
[
0,
1,
0.6404401758876557,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
0.19227769779240333,
0,
1,
1
],
[
1,
0.6022064845594256,
0,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0,
0.40992878676702216,
1,
1
],
[
0,
0.4562523625023627,
1,
1
],
[
1,
0.04632357573534044,
0,
1
],
[
0,
1,
0.10772241105651532,
1
],
[
0.3555130613954144,
1,
0,
1
],
[
0,
0.7341938169144051,
1,
1
],
[
0.9334549095578512,
0,
1,
1
],
[
1,
0,
0.2558825150736914,
1
],
[
0,
1,
0.3161771885991356,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
1,
0.32426503014738306,
0,
1
],
[
0,
1,
0.547793608090936,
1
],
[
1,
0,
0.2558825150736914,
1
],
[
0,
0.36360521103168175,
1,
1
],
[
1,
0,
0.5569857573534043,
1
],
[
0.8871313338225106,
0,
1,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
1,
0,
0.6033093330887447,
1
],
[
0,
1,
0.10772241105651532,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
0.17021875845405265,
1,
0,
1
],
[
0,
1,
0.825733311481096,
1
],
[
0.4481602128660953,
1,
0,
1
],
[
1,
0,
0.5569857573534043,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
1,
0.3937503937503937,
0,
1
],
[
0.015440535661123769,
0.03161892867775246,
1,
1
],
[
0.6555134551458082,
0,
1,
1
],
[
1,
0,
0.6959564845594255,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0.23860127352774382,
0,
1,
1
],
[
0,
1,
0.2466922627515955,
1
],
[
0,
1,
0.15404569495487538,
1
],
[
0,
1,
0.8025716695319163,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0,
1,
0.7562483856335561,
1
],
[
0,
0.062501968751969,
1,
1
],
[
0.9955879496320674,
0,
0.9463241007358653,
1
],
[
0,
0.5488995139730435,
1,
1
],
[
0.47021915220444627,
0,
1,
1
],
[
0.015440535661123769,
0.03161892867775246,
1,
1
],
[
0,
1,
0.7794100275827363,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
1,
0,
0.5801475452210745,
1
],
[
1,
0.5095593330887448,
0,
1
],
[
0.724998818748819,
0,
1,
1
],
[
1,
0.02316178786767022,
0,
1
],
[
1,
0.16213251507369153,
0,
1
],
[
0.5165427279397867,
0,
1,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
0.19338054632172286,
1,
0,
1
],
[
0.14705697058638245,
1,
0,
1
],
[
0,
1,
0.9878648051253566,
1
],
[
0.16911590992473247,
0,
1,
1
],
[
0.44705736433677606,
0,
1,
1
],
[
0.9566166974255214,
0,
1,
1
],
[
0,
0.34044342316401155,
1,
1
],
[
0.03124934374934376,
1,
0.0000013125013124790507,
1
],
[
1,
0.532721120956415,
0,
1
],
[
1,
0,
0.2558825150736914,
1
],
[
0.17021875845405265,
1,
0,
1
],
[
1,
0.3937503937503937,
0,
1
],
[
0.93455775808717,
1,
0,
1
],
[
0.42389557646910575,
0,
1,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
0.44705736433677606,
0,
1,
1
],
[
0,
1,
0.15404569495487538,
1
],
[
1,
0.6485300602947661,
0,
1
],
[
0.8408077580871701,
0,
1,
1
],
[
0.42389557646910575,
0,
1,
1
],
[
1,
0.4400739694857342,
0,
1
],
[
1,
0,
0.4643386058827234,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
1,
0,
0,
1
],
[
0.05440981911570142,
1,
0,
1
],
[
1,
0,
0.4411768180150532,
1
],
[
0,
0.13198733235497973,
1,
1
],
[
0,
0.40992878676702216,
1,
1
],
[
0.9566166974255214,
0,
1,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
0,
1,
0.8025716695319163,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
1,
0,
0.2558825150736914,
1
],
[
0.4018366371307548,
1,
0,
1
],
[
1,
0,
0.18639715147068092,
1
],
[
1,
0.8106625753684576,
0,
1
],
[
0.8176459702194999,
0,
1,
1
],
[
0,
1,
0.5014703241925758,
1
],
[
0.0235287477934537,
1,
0.015442504413092598,
1
],
[
0.5860280915427974,
0,
1,
1
],
[
0,
1,
0.7330867436843761,
1
],
[
0.7029398794104678,
1,
0,
1
],
[
0.19338054632172286,
1,
0,
1
],
[
0,
1,
0.5014703241925758,
1
],
[
0.5176455764691059,
1,
0,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0,
0.6647084533113945,
1,
1
],
[
0,
1,
0.6404401758876557,
1
],
[
1,
0,
0.6727946966917553,
1
],
[
1,
0,
0.09375,
1
],
[
0.9113959702194997,
1,
0,
1
],
[
1,
0.04632357573534044,
0,
1
],
[
1,
0,
0.5338239694857341,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
1,
0.5558829088240852,
0,
1
],
[
0,
1,
0.8025716695319163,
1
],
[
0.9113959702194997,
1,
0,
1
],
[
0,
0.201472695957991,
1,
1
],
[
1,
0,
0.9275743632361277,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
0.07757160698337173,
1,
0,
1
],
[
0,
1,
0.7794100275827363,
1
],
[
0.9805143738967269,
0.9764712522065463,
0,
1
],
[
1,
0,
0.37169145441204254,
1
],
[
0.93455775808717,
1,
0,
1
],
[
1,
0.4400739694857342,
0,
1
],
[
0,
0.4562523625023627,
1,
1
],
[
0.9577195459548403,
1,
0,
1
],
[
0.47021915220444627,
0,
1,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
1,
0,
0.2558825150736914,
1
],
[
0.7955870308811486,
1,
0,
1
],
[
0,
0.9658116955911072,
1,
1
],
[
0,
1,
0.1772073369040554,
1
],
[
0.12389518271871214,
1,
0,
1
],
[
0.2860276977924041,
1,
0,
1
],
[
0.23860127352774382,
0,
1,
1
],
[
0,
1,
0.6636018178368361,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
0,
1,
0.3625004724974957,
1
],
[
0,
0.826840968385086,
1,
1
],
[
0,
0.8963263319880966,
1,
1
],
[
0,
0.9658116955911072,
1,
1
],
[
0,
1,
0.22353062080241548,
1
],
[
0.03124934374934376,
1,
0.0000013125013124790507,
1
],
[
1,
0.6948536360301065,
0,
1
],
[
0.053306970586381903,
0,
1,
1
],
[
1,
0.18529430294136176,
0,
1
],
[
1,
0.8569861511037979,
0,
1
],
[
0.424998424998425,
1,
0,
1
],
[
1,
0,
0.23272072720602122,
1
],
[
0.8408077580871701,
0,
1,
1
],
[
0,
0.6415466654437243,
1,
1
],
[
0.30808663713075457,
0,
1,
1
],
[
0.07646875845405214,
0,
1,
1
],
[
1,
0.18529430294136176,
0,
1
],
[
0,
0.31728163529634135,
1,
1
],
[
1,
0,
0.742280060294766,
1
],
[
1,
0.06948536360301065,
0,
1
],
[
1,
0.7180154238977768,
0,
1
],
[
0.44705736433677606,
0,
1,
1
],
[
1,
0,
0.23272072720602122,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
0,
0.5720613018407144,
1,
1
],
[
0,
0.5025759382377031,
1,
1
],
[
0,
0.5720613018407144,
1,
1
],
[
1,
0.34742681801505326,
0,
1
],
[
1,
0,
0.1169117878676702,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
1,
0,
0.09375,
1
],
[
0,
0.40992878676702216,
1,
1
],
[
1,
0,
0.9275743632361277,
1
],
[
1,
0,
0.9044125753684575,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
1,
0.5790446966917554,
0,
1
],
[
0.16911590992473247,
0,
1,
1
],
[
0.424998424998425,
1,
0,
1
],
[
0,
0.5257377261053733,
1,
1
],
[
0,
1,
0.20036897885323546,
1
],
[
1,
0,
0.8812507875007872,
1
],
[
1,
0.3705886058827235,
0,
1
],
[
0,
1,
0.5709552500401159,
1
],
[
1,
0.20845609080903196,
0,
1
],
[
0,
0.8036791805174157,
1,
1
],
[
1,
0.8106625753684576,
0,
1
],
[
1,
0.3937503937503937,
0,
1
],
[
0,
1,
0.10772241105651532,
1
],
[
0.7724252430134786,
1,
0,
1
],
[
0,
0.6183848775760541,
1,
1
],
[
0.9801467577202873,
0,
0.9772064845594255,
1
],
[
0,
1,
0.20036897885323546,
1
],
[
1,
0,
0.09375,
1
],
[
0,
0.8500027562527561,
1,
1
],
[
0.12389518271871214,
1,
0,
1
],
[
1,
0,
0.1169117878676702,
1
],
[
0,
0.5025759382377031,
1,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
0,
0.5720613018407144,
1,
1
],
[
0.09963054632172239,
0,
1,
1
],
[
0,
1,
0.2698539047007752,
1
],
[
0,
1,
0.8025716695319163,
1
],
[
0.09963054632172239,
0,
1,
1
],
[
1,
0.3705886058827235,
0,
1
],
[
0,
0.9194881198557668,
1,
1
],
[
0.5639691522044463,
1,
0,
1
],
[
1,
0,
0.1400735757353404,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
0,
0.7805173926497455,
1,
1
],
[
0,
1,
0.13088405300569536,
1
],
[
0,
0.9658116955911072,
1,
1
],
[
0.8408077580871701,
0,
1,
1
],
[
0,
0.4562523625023627,
1,
1
],
[
1,
0.02316178786767022,
0,
1
],
[
0.47021915220444627,
0,
1,
1
],
[
0.724998818748819,
0,
1,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
1,
0.3705886058827235,
0,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0,
0.7341938169144051,
1,
1
],
[
0.726101667278138,
1,
0,
1
],
[
0,
1,
0.594116891989296,
1
],
[
0,
1,
0.1772073369040554,
1
],
[
0,
1,
0.617278533938476,
1
],
[
0,
1,
0.9415415212269964,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
0.0003669599257835228,
1,
0.061766080148432954,
1
],
[
0.3544102128660951,
0,
1,
1
],
[
1,
0.8106625753684576,
0,
1
],
[
0.26176306139541405,
0,
1,
1
],
[
1,
0,
0.9275743632361277,
1
],
[
1,
0,
0.8117654238977766,
1
],
[
0,
1,
0.6404401758876557,
1
],
[
1,
0,
0.4411768180150532,
1
],
[
0.9566166974255214,
0,
1,
1
],
[
1,
0,
0.6727946966917553,
1
],
[
1,
0,
0.1400735757353404,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
1,
0,
0.9044125753684575,
1
],
[
0,
1,
0.6636018178368361,
1
],
[
0,
0.7573556047820753,
1,
1
],
[
0.7481606066164892,
0,
1,
1
],
[
0,
0.9426499077234377,
1,
1
],
[
1,
0.532721120956415,
0,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
1,
0.6253682724270958,
0,
1
],
[
0.9878673536761773,
0,
0.9617652926476454,
1
],
[
0.47021915220444627,
0,
1,
1
],
[
1,
0.32426503014738306,
0,
1
],
[
0.7492634551458082,
1,
0,
1
],
[
0.724998818748819,
0,
1,
1
],
[
0.23860127352774382,
0,
1,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
0.40073378860143555,
0,
1,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0,
0.08566375661963932,
1,
1
],
[
1,
0,
0.5106621816180639,
1
],
[
0.8176459702194999,
0,
1,
1
],
[
0,
1,
0.9415415212269964,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
0,
0.4562523625023627,
1,
1
],
[
1,
0,
0.742280060294766,
1
],
[
0.053306970586381903,
0,
1,
1
],
[
0.30808663713075457,
0,
1,
1
],
[
0,
0.9889734834587774,
1,
1
],
[
0,
1,
0.7794100275827363,
1
],
[
0,
1,
0.10772241105651532,
1
],
[
1,
0,
0.7654418481624362,
1
],
[
0.8419106066164891,
1,
0,
1
],
[
0.632351667278138,
0,
1,
1
],
[
0.5165427279397867,
0,
1,
1
],
[
0,
0.062501968751969,
1,
1
],
[
1,
0,
0.30220609080903194,
1
],
[
0,
1,
0.9415415212269964,
1
],
[
0.4018366371307548,
1,
0,
1
],
[
0,
1,
0.9415415212269964,
1
],
[
0,
0.36360521103168175,
1,
1
],
[
1,
0,
0.27904430294136173,
1
],
[
0,
1,
0.9878648051253566,
1
],
[
0.015440535661123769,
0.03161892867775246,
1,
1
],
[
0.05440981911570142,
1,
0,
1
],
[
0.7492634551458082,
1,
0,
1
],
[
0.424998424998425,
1,
0,
1
],
[
0,
1,
0.33933883054831565,
1
],
[
1,
0,
0.6264711209564149,
1
],
[
0.44705736433677606,
0,
1,
1
],
[
0.5165427279397867,
0,
1,
1
],
[
1,
0.48639754522107453,
0,
1
],
[
0.7944841823518297,
0,
1,
1
],
[
0,
0.9194881198557668,
1,
1
],
[
0,
1,
0.13088405300569536,
1
],
[
0,
1,
0.594116891989296,
1
],
[
0.16911590992473247,
0,
1,
1
],
[
0,
0.6415466654437243,
1,
1
],
[
0,
0.38676699889935195,
1,
1
],
[
0,
0.4794141503700329,
1,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
1,
0.7180154238977768,
0,
1
],
[
1,
0,
0.6264711209564149,
1
],
[
1,
0,
0.6496329088240851,
1
],
[
1,
0.8338243632361279,
0,
1
],
[
0,
0.36360521103168175,
1,
1
],
[
0,
0.7341938169144051,
1,
1
],
[
0.4018366371307548,
1,
0,
1
],
[
0.6102927279397868,
1,
0,
1
],
[
1,
0,
0.6264711209564149,
1
],
[
1,
0,
0.6727946966917553,
1
],
[
0,
0.40992878676702216,
1,
1
],
[
0.19338054632172286,
1,
0,
1
],
[
0.0003669599257835228,
1,
0.061766080148432954,
1
],
[
1,
0,
0.9044125753684575,
1
],
[
1,
0.32426503014738306,
0,
1
],
[
0,
1,
0.825733311481096,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
0.9955879496320674,
0,
0.9463241007358653,
1
],
[
1,
0.6022064845594256,
0,
1
],
[
0.09963054632172239,
0,
1,
1
],
[
0.5165427279397867,
0,
1,
1
],
[
1,
0,
0.30220609080903194,
1
],
[
0.12389518271871214,
1,
0,
1
],
[
0,
1,
0.20036897885323546,
1
],
[
0.015440535661123769,
0.03161892867775246,
1,
1
],
[
0,
0.5720613018407144,
1,
1
],
[
1,
0,
0.7654418481624362,
1
],
[
0,
1,
0.9183798792778164,
1
],
[
0,
0.7805173926497455,
1,
1
],
[
0,
0.8963263319880966,
1,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
0,
0.6183848775760541,
1,
1
],
[
0.7018370308811488,
0,
1,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
0,
0.27095805956100094,
1,
1
],
[
0.2628659099247336,
1,
0,
1
],
[
0,
1,
0.3625004724974957,
1
],
[
1,
0,
0.16323536360301072,
1
],
[
0,
1,
0.547793608090936,
1
],
[
1,
0,
0.41801503014738306,
1
],
[
1,
0,
0.16323536360301072,
1
],
[
0.6797780915427977,
1,
0,
1
],
[
0,
1,
0.15404569495487538,
1
],
[
0,
1,
0.5246319661417559,
1
],
[
0,
0.36360521103168175,
1,
1
],
[
1,
0,
0.1400735757353404,
1
],
[
0,
1,
0.5709552500401159,
1
],
[
0,
1,
0.3625004724974957,
1
],
[
0.053306970586381903,
0,
1,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
1,
0,
0.23272072720602122,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
0,
0.7805173926497455,
1,
1
],
[
1,
0.3011032422797128,
0,
1
],
[
0.14595412205706287,
0,
1,
1
],
[
0.015808151837563643,
1,
0.030883696324872714,
1
],
[
0.14595412205706287,
0,
1,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
0.632351667278138,
0,
1,
1
],
[
1,
0.9264715147068088,
0,
1
],
[
0.424998424998425,
1,
0,
1
],
[
0.9566166974255214,
0,
1,
1
],
[
0.6102927279397868,
1,
0,
1
],
[
1,
0.18529430294136176,
0,
1
],
[
0.9882349698526169,
0.9610300602947661,
0,
1
],
[
0,
0.9658116955911072,
1,
1
],
[
0,
1,
0.5709552500401159,
1
],
[
0.015440535661123769,
0.03161892867775246,
1,
1
],
[
0,
1,
0.7330867436843761,
1
],
[
1,
0.6253682724270958,
0,
1
],
[
0.023161131617013827,
0.016177736765972346,
1,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
1,
0.16213251507369153,
0,
1
],
[
0.9882349698526169,
0.9610300602947661,
0,
1
],
[
1,
0.2547796665443724,
0,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
0,
1,
0.2698539047007752,
1
],
[
0.7724252430134786,
1,
0,
1
],
[
1,
0,
0.5338239694857341,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
1,
0,
0.9044125753684575,
1
],
[
1,
0,
0.5569857573534043,
1
],
[
0.7481606066164892,
0,
1,
1
],
[
0,
1,
0.3625004724974957,
1
],
[
0.16911590992473247,
0,
1,
1
],
[
0.2154394856600736,
0,
1,
1
],
[
1,
0,
0.6264711209564149,
1
],
[
1,
0.764338999633117,
0,
1
],
[
1,
0,
0.4875003937503936,
1
],
[
0.8639695459548403,
0,
1,
1
],
[
0,
1,
0.08456076910733497,
1
],
[
0,
1,
0.1772073369040554,
1
],
[
0,
1,
0.4088237563958557,
1
],
[
0.10073339485104227,
1,
0,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
1,
0.16213251507369153,
0,
1
],
[
0.9878673536761773,
0,
0.9617652926476454,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
0,
0.5720613018407144,
1,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0,
1,
0.4088237563958557,
1
],
[
0,
1,
0.7099251017351961,
1
],
[
0,
0.34044342316401155,
1,
1
],
[
0.0235287477934537,
1,
0.015442504413092598,
1
],
[
0.7944841823518297,
0,
1,
1
],
[
0.9882349698526169,
0.9610300602947661,
0,
1
],
[
1,
0,
0.5801475452210745,
1
],
[
0,
0.6183848775760541,
1,
1
],
[
0.9882349698526169,
0.9610300602947661,
0,
1
],
[
0,
1,
0.617278533938476,
1
],
[
1,
0.764338999633117,
0,
1
],
[
1,
0,
0.7654418481624362,
1
],
[
0.6555134551458082,
0,
1,
1
],
[
1,
0.4632357573534044,
0,
1
],
[
0,
0.5025759382377031,
1,
1
],
[
1,
0.1158089393383511,
0,
1
],
[
0,
0.6183848775760541,
1,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0.053306970586381903,
0,
1,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
0.00771993970523371,
0.04706012058953258,
1,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
0,
0.24779627169333063,
1,
1
],
[
1,
0.6253682724270958,
0,
1
],
[
1,
0.5558829088240852,
0,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
1,
0.6022064845594256,
0,
1
],
[
0,
1,
0.8025716695319163,
1
],
[
0,
0.4794141503700329,
1,
1
],
[
0.8650723944841594,
1,
0,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
0.33124842499842483,
0,
1,
1
],
[
1,
0,
0.5569857573534043,
1
],
[
0.7955870308811486,
1,
0,
1
],
[
0,
1,
0.7330867436843761,
1
],
[
0.424998424998425,
1,
0,
1
],
[
1,
0.20845609080903196,
0,
1
],
[
0.33124842499842483,
0,
1,
1
],
[
0,
0.27095805956100094,
1,
1
],
[
0,
0.9194881198557668,
1,
1
],
[
1,
0,
0.37169145441204254,
1
],
[
1,
0,
0.6959564845594255,
1
],
[
0.9577195459548403,
1,
0,
1
],
[
0,
1,
0.9415415212269964,
1
],
[
0.26176306139541405,
0,
1,
1
],
[
0,
1,
0.6404401758876557,
1
],
[
0,
0.9889734834587774,
1,
1
],
[
1,
0,
0.1400735757353404,
1
],
[
1,
0.3011032422797128,
0,
1
],
[
0.4481602128660953,
1,
0,
1
],
[
0,
1,
0.617278533938476,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0,
0.36360521103168175,
1,
1
],
[
0,
1,
0.7562483856335561,
1
],
[
0.93455775808717,
1,
0,
1
],
[
0.7724252430134786,
1,
0,
1
],
[
0.6566163036751272,
1,
0,
1
],
[
0.015440535661123769,
0.03161892867775246,
1,
1
],
[
0,
0.15514912022264993,
1,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
0.9955879496320674,
0,
0.9463241007358653,
1
],
[
1,
0,
0.27904430294136173,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
0.03124934374934376,
1,
0.0000013125013124790507,
1
],
[
1,
0,
0.6727946966917553,
1
],
[
1,
0,
0.30220609080903194,
1
],
[
1,
0.1158089393383511,
0,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
0,
1,
0.825733311481096,
1
],
[
1,
0.8106625753684576,
0,
1
],
[
0,
1,
0.6404401758876557,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
0.9955879496320674,
0,
0.9463241007358653,
1
],
[
0,
0.6647084533113945,
1,
1
],
[
0.023161131617013827,
0.016177736765972346,
1,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0,
1,
0.6867634597860162,
1
],
[
1,
0.06948536360301065,
0,
1
],
[
1,
0.4169121816180639,
0,
1
]
],
"size": 5
},
"mode": "markers",
"name": "Data Points",
"scene": "scene",
"type": "scatter3d",
"x": [
0.8097113882970813,
0.1736352215240813,
-0.6835795511514331,
-0.4216092647772281,
-0.4889663456669502,
-0.6245024452471826,
0.9708245317873077,
0.02443866624353747,
-0.3205072184130654,
0.6614654159251404,
-0.6140864956756121,
-0.6063917326500825,
0.8815427563875033,
-0.433111894607717,
0.9954032637652874,
-0.9985344844371651,
-0.9304784682233278,
0.6839638660145587,
0.26385095104242384,
0.9946591604655908,
0.7410376416542528,
-0.9095233777467567,
-0.4739410347336554,
0.9185847365296799,
-0.48826732264519696,
0.7945694199442652,
-0.4535707712467477,
0.8396150742167918,
0.2948323508929343,
0.23428171614358215,
-0.29804483976951834,
0.5460281295073564,
0.607836563147602,
0.6932598641907529,
0.7932363981435144,
-0.01990120408752585,
-0.00562211456709243,
0.9969455612824711,
0.9776545914051591,
-0.19607946353557287,
-0.9788493549718885,
-0.6660382641449598,
0.6263279218668912,
-0.9619864644578786,
0.9488418112051314,
-0.993787667700088,
-0.6466522089795447,
0.990206648890674,
-0.9058296902811528,
0.573240247230035,
0.18722287308343072,
0.9999821799162689,
0.7101871620423464,
-0.5264836275049196,
-0.989294185576592,
-0.5373793138105672,
0.6653442500666722,
-0.49630278065751215,
0.19914102818688117,
0.443654275646912,
-0.2748063856299348,
-0.8190020776119428,
-0.9683697695744783,
0.30233006144669716,
0.4301394808840835,
-0.7282667988044104,
-0.24759922981738228,
0.5523989578874778,
0.6175384446976481,
-0.08993712723532614,
0.3542523686400496,
-0.008435347153411283,
-0.9218602874565841,
0.4348396658805699,
0.30599771190512354,
0.11708705228364238,
-0.9144377024196694,
-0.9985300359646426,
-0.9642628380899437,
0.0789042799254091,
-0.9813626193683112,
0.2926207033625529,
-0.6049869268938394,
0.050267754594076515,
0.9969352788565062,
-0.4566898014306259,
0.7695933378894118,
-0.940617646381265,
-0.6478664969055927,
-0.2294423124686131,
0.9536820849210529,
0.9802018314725001,
-0.491049595392016,
0.9133969144447429,
0.39680278850908735,
-0.30399974925133727,
0.7596072510927242,
-0.033949566859741605,
-0.8562322850903848,
0.9790402262342934,
0.2809802946048992,
0.32340768020065663,
-0.5298226359550994,
0.5973131696385301,
0.9995563439958922,
-0.09108015793684227,
0.9472668159313523,
0.04310883471264532,
0.20674110946316085,
0.9602410698883059,
-0.7673873052439223,
0.8456777219093965,
-0.9943891383538433,
0.2953723092617251,
0.7902794985074146,
-0.2358040786117398,
0.42170346819580373,
0.5515690867712058,
-0.8222821363638751,
-0.9658571357665076,
-0.8067273495720487,
-0.5880072063150379,
-0.8320486601622183,
0.8912774423923098,
-0.9843920570580044,
-0.9379388083044107,
0.6155795417050091,
-0.00807432268656799,
0.008466620440656982,
0.7027107207611549,
0.9947198769585136,
-0.5037616355742286,
-0.7684976961738166,
-0.9586894396712902,
0.26251327231981314,
0.7572216290268232,
-0.9478518024294984,
-0.10051602075897105,
-0.9677761168676993,
0.8833290418017379,
-0.7663282711766753,
-0.9540385287537745,
-0.1579213584005148,
0.9870053019786372,
0.6619572347444875,
-0.1772856909500817,
-0.6409418859621041,
0.9996691592985203,
-0.567234372593568,
0.956605531923747,
0.9929454403724691,
-0.9995215509104701,
0.8619204048770256,
0.5748824735179919,
0.9083099132555332,
-0.9730226453949877,
0.21066897032367882,
0.9288406371812565,
-0.5186110060082193,
-0.7687342808453997,
0.9968249745559034,
-0.42788681934377554,
-0.24684663614670613,
0.8559475707555303,
-0.9073988016230268,
0.9991822445760422,
-0.12718239790193656,
0.3294776383796435,
0.1202965140299028,
-0.7078715850162043,
0.9132887151299287,
-0.9843673435634102,
0.9590702009553924,
0.18816462774435463,
0.39329489870227563,
0.9290246669621076,
-0.471685967749634,
0.47609562922218013,
-0.9876856240662141,
-0.3676616008166094,
0.9050880103725722,
0.9999584613606449,
-0.3260945367333143,
0.9731626183377806,
-0.5597257989129718,
-0.8045703487274493,
-0.1298975875974455,
0.8592589064547403,
-0.09542747388383255,
0.6431589679551643,
0.9311640947445712,
-0.06977560530605381,
-0.7634738951940504,
-0.24578301343933492,
0.007098033361480353,
0.3666538547849671,
-0.569217445379485,
-0.5545396826988442,
0.8161405004498574,
0.5508142222402278,
-0.5600516855854223,
0.8222452927688196,
-0.9169374846665168,
-0.971851896181423,
0.7694473883859014,
-0.9254607150513701,
0.8279475628061268,
0.1684619876591841,
-0.9979838353299134,
-0.7998081147150464,
0.967314901007358,
0.18677634392079703,
0.5289065377847543,
0.6648616539358854,
0.9999366199934139,
-0.9715277101703941,
-0.9497922987144892,
-0.14376379780486692,
0.6266146136249581,
-0.9881786553019608,
0.3640322623492882,
-0.9792868529367208,
0.3074950288340458,
-0.6735789165794479,
0.2321664169745439,
0.9891913407814239,
0.8807218678646224,
-0.22342859164687093,
-0.6580601234073786,
0.7423789386428336,
-0.9981917516839253,
0.6166430327842415,
0.3567518107771289,
-0.08690106035590331,
0.8562138325860186,
0.8851333078396215,
0.7303887125551867,
-0.24326589341997307,
-0.7793152255593261,
0.6807131613255609,
0.9903447091425365,
-0.670182507636219,
-0.2424230703455756,
0.7036028111564686,
0.8736850202289206,
0.06345739567199907,
0.9828266023132286,
0.9808683070462743,
-0.6219548363609261,
-0.8447097090553878,
0.9986678921026773,
-0.7591531777271691,
-0.2812479643712929,
0.9917992736332133,
0.7110826363436259,
-0.48082153882127104,
-0.3965052590133199,
0.998899244154553,
-0.7578458493540089,
-0.7498281297304281,
0.9956979111192013,
0.7503347638269166,
-0.9971966520795769,
0.7033637833739069,
0.5525069683825622,
-0.8714174323350445,
0.7301294364508548,
-0.8109295773796491,
-0.34323167603751115,
-0.11374221056553392,
-0.3961328578040778,
-0.934588642060489,
-0.9107953453381292,
0.699161906954679,
-0.9618264833495144,
0.892536047050279,
0.40844082600570963,
-0.47889240259204996,
-0.9779948247592332,
-0.10733811395750369,
0.19297151920384242,
0.13091556178882122,
-0.9940959029356533,
0.7302455219369354,
0.8410333677879713,
0.8874738576244581,
-0.10149389121824988,
0.8587669010692371,
0.2687902350241858,
0.847656318680975,
-0.6920132363455822,
-0.9991113881095148,
-0.8321246102892874,
-0.0022664384820526916,
-0.960300992980896,
0.5067757379562166,
0.7184229850192279,
-0.9224421540801762,
0.7680028677508818,
-0.9875483003810249,
0.25909454022517847,
-0.040363517294855586,
0.8120863952071554,
0.14594057336097363,
-0.7183765748444663,
0.7313794198030982,
-0.4359058847515658,
0.2956722847460821,
-0.25372689837753076,
-0.6042541449344463,
-0.30114470880980315,
0.03815184201199123,
0.32330325136092486,
0.5744814329087076,
-0.2021971328096651,
0.23129992008163264,
-0.8467106379070107,
-0.7715596948477471,
-0.05523395046380105,
-0.6029929895204904,
-0.20963418527937921,
0.3073667159183476,
0.7402073709589849,
0.7365803644980377,
0.3299947537815352,
-0.6538841814736338,
-0.09703673631150726,
-0.7369753238705018,
-0.18264279394279817,
-0.030687909740626348,
0.6082144759696722,
-0.5374833342976618,
-0.5349284653329509,
0.613539603582061,
0.08928738222947266,
0.564197306104649,
0.8090102005492298,
0.3173794667242582,
-0.999865307952759,
-0.9955564582566132,
0.4734091610332095,
0.385924072361907,
0.7179026400267944,
-0.9883190064449904,
-0.14582904378885975,
0.2556060487814282,
-0.6669631623281828,
0.9594869548144522,
-0.7919704824841717,
-0.768379932810015,
0.8682224318189953,
-0.8892305694464809,
0.6454060413320417,
-0.8426589770523997,
-0.9669529523689363,
-0.8759059795360387,
0.9539388151332153,
0.30969352383694926,
-0.8046115104869813,
-0.36498920136539054,
-0.894241397814653,
0.93068971812532,
0.9691346537243255,
-0.8480838753256827,
-0.217527950585907,
-0.8663840482903924,
-0.4579115483538302,
-0.6196792975569831,
-0.9156444980072295,
-0.8886813181724167,
-0.5956086239911781,
0.8017953098182515,
-0.5671884067069719,
0.007749359472686776,
-0.06604092145132862,
0.3166883556774915,
-0.0721961764929023,
0.9951127443973428,
0.9556937220632001,
0.7116683373353473,
0.877789417445929,
0.8585084393923395,
-0.8928155724227821,
-0.6741232286358638,
-0.28491744944209413,
0.9978621294154056,
-0.4535349816737413,
0.05860206522046601,
-0.7446631612566218,
0.02659365720803434,
0.19671174503399563,
0.7681391903672894,
-0.989856245757828,
0.8501304902349089,
0.40048653999425576,
-0.25989272542175096,
-0.07105934865155482,
0.8989448482959654,
0.9976838097129727,
0.5928704283352031,
0.5819364143129382,
0.9796943725217461,
-0.08601697311679093,
-0.9939687763719073,
-0.9619700052563539,
-0.4379712597296269,
-0.784378804315088,
-0.19005972056496517,
-0.061629480832302394,
0.5559843142193225,
-0.3591161320767365,
-0.9998840297538251,
-0.217024342761503,
0.4995670366197849,
0.9358325143844699,
-0.33516792369548637,
-0.20449935469185865,
-0.8000514110622546,
0.7969780800851415,
-0.8632068593556372,
0.1302975797814467,
0.9816981435522373,
-0.9943128463841444,
0.9725003759467593,
-0.48363109373817337,
-0.7965454917809587,
-0.11817820793989636,
0.9927151752450123,
0.8320702532103387,
-0.9624348433020998,
-0.2427873401950563,
0.9871490589831272,
0.9707984097814846,
-0.7404918209141239,
-0.07518507016639084,
0.7466533325277681,
-0.9972102487136196,
-0.9144739563158769,
-0.9725042295850019,
-0.9475588285910082,
-0.7672414292085349,
-0.38214578852849457,
0.18749076211030816,
0.6865177548794207,
0.028682991833030563,
-0.9938849011390347,
0.25256825671344996,
0.9993480122879186,
-0.5601953355143464,
-0.000557914687160348,
-0.9514482836068877,
0.06871001428641382,
-0.986588450292953,
0.10963509180643771,
0.34275538490284874,
-0.22550287632126617,
-0.102792463433364,
-0.5167371851059981,
-0.8789874631195229,
0.3706858813411788,
0.7974041272829581,
-0.40384368690505695,
0.06301420334041875,
-0.9999959945031993,
-0.3707434429291934,
-0.021835498426718804,
0.9920866061698514,
-0.001707303736516952,
0.33191274849250024,
-0.4295166218484151,
0.9156239179666849,
-0.9318445105204686,
-0.9999392956588301,
-0.6892824165911191,
-0.15296570427717138,
-0.3782943683284595,
-0.7804155048929671,
-0.9746588356676057,
-0.9917423924408858,
0.16991318766399927,
-0.980014729757742,
0.16643208927366515,
0.9992117251246246,
-0.36891502925365954,
0.11594997216934803,
-0.9658944731993447,
-0.958618383108429,
-0.595602236665851,
0.7647196946755138,
0.026922655192218852,
0.6960318317978739,
0.8930573606686719,
-0.03141496668476627,
-0.786307916333866,
0.7384681780289198,
-0.724262637309056,
0.041865521330641815,
-0.6708009431807683,
0.10502141424556818,
-0.4633733663741978,
0.5493519592890305,
0.9994075931669341,
-0.42793687986484547,
-0.9979287930679164,
-0.9144344272640978,
0.009691465749394031,
0.77413820455997,
-0.4099374951097446,
0.6709936115865317,
0.985509644074946,
0.858014683556548,
0.0964867189859213,
-0.5843514386912455,
-0.9994785586104773,
0.7792773880468259,
-0.24893213424609856,
0.5213331065520153,
-0.9360218323144734,
0.8995605551018879,
-0.9584090478230177,
0.9699869166924319,
-0.26732104685123775,
0.942246298532073,
0.9245621409857905,
0.26308079599970857,
-0.7887448937314646,
0.2907219181195986,
0.15275428196995194,
0.7741746290781455,
0.8151205755149451,
-0.9974470336276811,
0.6329171738033464,
0.18164698390962877,
0.9442352003550903,
-0.49688701444151423,
-0.9844160763294124,
0.77579419043067,
0.8000535955532609,
-0.9330773399898854,
0.9060814152774502,
-0.9828140869653004,
0.7541954977569424,
-0.8786950850271064,
-0.453148935217226,
-0.519057175976738,
-0.8500887336912285,
0.6199336262935359,
-0.5531834179980362,
0.3655827201118709,
0.9910321763742536,
0.0911039852241813,
-0.8771003671915732,
0.7668652257147808,
-0.9130257194658743,
0.4535813938150453,
-0.2322696554311804,
-0.7992444810909636,
-0.9625435068649574,
0.20854048373645726,
0.7374218473055355,
0.664348021644092,
0.9870073296158299,
0.30446849623378386,
0.1619901954813773,
0.976851670517475,
0.5025180294132471,
-0.6135632439008624,
0.8660867407043743,
-0.0331389017954459,
0.4541092515859721,
0.9841734953372275,
0.9251423899089118,
-0.8593405829944462,
-0.8512865039700451,
-0.2997007643191062,
-0.9991106789863824,
-0.9852724219447856,
-0.08815050998994177,
-0.375939369916692,
0.34229563940777197,
0.40377431523512913,
0.9995164295285852,
0.28944998398037436,
-0.020403139731862772,
-0.5300921797364933,
0.7402613831046918,
0.5127953841273291,
-0.831494359459927,
-0.9829874623883278,
0.3786973903533582,
-0.9040485377458132,
-0.40778268351433417,
0.015628815432947977,
-0.5273779861714663,
-0.01467794245017774,
0.6568952674513975,
-0.7707950668117333,
-0.4207413174228923,
0.011501601252853004,
-0.8896260770971401,
-0.9189968813605183,
0.8030876465052698,
0.7037136015953783,
-0.9998447605916051,
0.4918334962562663,
-0.928369846172563,
0.5697488829763279,
0.7853764662390723,
-0.5193157113209682,
-0.5382492675616458,
0.9858431406548077,
-0.5187791399211654,
-0.9852163558913548,
0.12531266815597386,
-0.993990500237039,
-0.6404692545594236,
-0.3898919843657182,
0.8856781068296962,
0.5174521433634943,
-0.15437494322298626,
0.9712411828560182,
-0.17925744582370987,
0.34299350571273435,
0.8909378708810456,
0.02139854585152565,
-0.9615653250995878,
0.9174360851784426,
0.9493357665877824,
-0.8054227498629005,
-0.999908136659348,
-0.3862290062581493,
-0.9978227234466802,
-0.8910330105670433,
-0.47956771972627016,
-0.8221200632187363,
0.9888026328294705,
-0.39837794874148397,
0.6286305854246335,
-0.6268701916974281,
0.9300296347887915,
0.46870738507681614,
0.9844234520127839,
-0.4724699371329451,
-0.9566826896042477,
-0.4224286276983439,
-0.8840341269324138,
0.8053899476557314,
-0.445824394670873,
-0.036857173251152966,
-0.010475600250776755,
-0.5361515063054612,
-0.9825677325969234,
-0.2809548965103559,
0.9955865850444454,
0.6826311078683904,
0.41531508766856234,
0.25812157376817846,
0.2020223916774353,
0.9509583795494315,
-0.4918842426552483,
0.814522932299543,
0.9741828398162068,
0.9882396211062684,
0.9966619479696106,
0.7130057188143235,
0.5137233892174341,
-0.7313996447385509,
0.4019083153753021,
-0.9763663361745245,
-0.5960252389985097,
0.09817159418774403,
-0.9854487813481675,
-0.4062121998623746,
0.9069378155812454,
0.13199090921615983,
0.3803113395075577,
-0.9790564696553855,
0.7124635271104606,
-0.7691032046909346,
-0.996719518833095,
-0.7101848506159141,
-0.017386159920262424,
-0.9859076284221078,
-0.5539867376474559,
0.8811441017629643,
0.8442871181510795,
0.8804663885724945,
-0.92818878839,
-0.9990920549791629,
-0.3613042239947346,
-0.9998632649284661,
0.7780941180019182,
-0.6283274353413228,
-0.6422916724087628,
0.9327202288885199,
-0.8114085467092471,
0.27627882489966776,
0.11924142599859479,
0.8538023875750097,
0.6931811146265892,
-0.6640917486548849,
-0.9187145735209793,
0.9227165463603473,
-0.9702151159166511,
0.9693560647057721,
-0.6424413023166111,
-0.9115063683413972,
0.6231340791722731,
-0.26156245803429884,
0.9004439257304521,
-0.5612668384004027,
0.6981252702257833,
-0.9999893258597623,
0.9765175576299469,
0.4200433037539902,
-0.9996495934707798,
0.8368804262070232,
-0.484652427574693,
0.757902242870383,
0.87646911827226,
0.3426178808152626,
0.7437156692035364,
0.9875462457130644,
0.3456919827778431,
-0.9222836015652484,
0.9906425926559135,
-0.04682815293227172,
-0.9975731728134025,
-0.5319517049159307,
0.9630328286917164,
0.6409463160368055,
0.9957657594098812,
-0.4127370678977855,
0.8123370985241379,
-0.999585820418921,
-0.034348711623242247,
-0.3048939798924106,
-0.544281993407984,
-0.9198011183337338,
0.16566279367073303,
0.9483890586638355,
-0.2015329246107465,
0.9239314138664971,
0.6886372032302704,
0.9374269118953739,
0.999975288477925,
-0.4922058851954624,
0.5856980683105744,
0.08457680409525715,
-0.6345234024425431,
0.17654494063523285,
-0.6224873966672918,
-0.7169135391348966,
0.9442976671573884,
-0.9269362077797644,
-0.5300218035761248,
-0.8145541243607551,
-0.9979420617498176,
-0.5289336449437634,
-0.9449485692944939,
-0.6398818246737813,
0.9546406049584033,
0.9510995842080001,
-0.31388279277618397,
0.9944455346303256,
-0.8352899046132876,
-0.5192925504635373,
-0.7749970061044369,
-0.5914559897020025,
-0.033196678421107,
-0.9410019731643596,
-0.22145496256393463,
-0.29765888343690167,
0.20336106314174568,
-0.9476404603147243,
0.027692554206703288,
0.15389945378728992,
0.5293787036979102,
-0.8954360282936774,
-0.39498838589052615,
0.9999317019929069,
-0.37486067269754175,
0.8140971378829498,
-0.7726150602294078,
0.40292416146451104,
0.13957178472792406,
0.9984704460675218,
0.9848602266230447,
0.6202150106824563,
-0.752137245451693,
-0.3279245387460402,
-0.21001052962002445,
-0.08573112654660095,
0.5119179749925976,
-0.9714160243970463,
0.9999553437042883,
0.129110337957179,
0.9999999958297847,
0.7470984675251068,
-0.9784087983676606,
0.9989384632948732,
0.4643280985340743,
0.48731830522782704,
-0.22336243689050814,
0.12057052748649946,
0.7979714656815524,
-0.8340099430887162,
-0.009849809490440816,
-0.08085969183289614,
-0.8622544963324097,
-0.36539590696674423,
0.9902501624863045,
0.638569711958285,
0.9285172716256754,
0.2746123909034321,
0.9117005119997948,
0.7713252425870107,
0.826441303329331,
-0.016458636988201564,
-0.7203405913762356,
-0.8408751758783164,
-0.8253530735190933,
-0.6314621595261863,
0.7537995911821913,
0.9427822713567044,
0.13330001931915533,
-0.07909356450950365,
-0.844486804285442,
-0.8098819193600019,
0.7790655806384184,
0.34227577282055627,
0.5762012953419006,
-0.6406613048740125,
-0.9335895111419582,
0.9916308395326844,
-0.5549340664502053,
-0.5991071081142834,
-0.7966068539135212,
0.3391789629760748,
-0.08487999308963738,
-0.9738953803166925,
0.4272418596246685,
0.703495302748065,
0.4683305239581034,
0.8703594773476171,
-0.7546673400298772,
0.9988968542515336,
0.9636223100491833,
0.9873314346833513,
0.7597653675920901,
0.8948515888887245,
-0.2707289544011144,
0.696451393372182,
0.6762419626733842,
0.2801617515667875,
0.8050182298266352,
-0.9956387062527208,
0.905619513309727,
-0.9406824806609954,
-0.9961162708150675,
-0.157906037244036,
0.6603991595528805,
0.8989125108615931,
0.7430009907516197,
-0.9973304856704517,
0.9166058644094142,
0.8171310228797061,
0.3861121496127363,
-0.9417832180967469,
-0.9885342401005264,
0.9300971857265331,
0.9609406189737763,
-0.948517156075636,
0.29216042333990067,
0.5384622375847714,
0.3056415695497191,
-0.9486527091011734,
-0.20400496211541772,
-0.544041283483286,
0.106046116264572,
-0.5334623374767519,
-0.09181611745641012,
-0.9806939216739613,
-0.49757835928471533,
0.9970369387444488,
0.9192775424143632,
0.4597973778256851,
0.9737851436228829,
-0.7843983998531292,
0.44458398318770037,
0.7941257675225903,
-0.9809078096784649,
-0.5086972860041414,
-0.957080242890838,
0.6916541169752941,
0.7426163748348952,
-0.2486860887687847,
-0.8832697684631579,
-0.3624625013422883,
-0.6479020324991498,
-0.8753299245868198,
-0.3341227417474956,
0.8121324266466619,
0.28711303673463356,
0.23404892763563573,
-0.8438843683018256,
-0.6816716563881065,
-0.9111456655836038,
-0.4454079508550347,
0.615088140646005,
0.686034515655896,
0.8359938528457201,
0.43326362668182034,
0.7059688197894959,
-0.980896012653052,
-0.5952936250925434,
0.7936816543045719,
0.8773553428679729,
0.14819086709035817,
0.8370635440610164,
0.9676899684059946,
0.7257753773645828,
0.5315069054038969,
-0.3710080574213871,
-0.5105666748753392,
-0.8604471615841126,
0.8970845050916134,
-0.5122116054000347,
0.9395423903337347,
-0.6787321380211044,
-0.746170340393058,
-0.23469595192654522,
-0.8789109057499491,
0.8328197606636643,
-0.991234467211132,
0.897339835595923,
0.16491051200261947,
0.40207555450012733,
0.92486930075062,
0.4804856807143482,
0.14872894824291982,
-0.3680074467954718,
0.6549971625778189,
-0.7747470094162014,
-0.8236234317744344,
0.6916672650378783,
-0.7968782702252882,
0.9888961374127511,
0.8275765449364443,
-0.3458078165223449,
-0.003354513483758302,
0.1152424893128918,
-0.8791513112902821,
-0.2766868756848982,
0.9700694364780293,
0.10948468600050351,
-0.97342359747646,
0.1180015206952371,
0.67605166933517,
0.9901527817038015,
-0.9513263483971913,
-0.8021363664431204,
-0.4368153251524067,
0.9997639293131868,
0.18737273513819744,
0.9483606509323219,
0.9981672785199254,
-0.998398937231907,
-0.948489725650118,
0.07584518804802319,
0.9369232081404333,
-0.9599656745812147,
0.746280307675413,
0.9763284227037755,
-0.4181840899037225,
-0.2439293539579736,
-0.1422352016973711,
0.4512898607014042,
0.5899811689633871,
0.7713513483412653,
-0.6075015954511199,
-0.9757951237210228,
-0.010469426449747233,
0.4975980563488259,
-0.8120901648454389,
-0.97535581555335,
-0.9903065706746129,
-0.9476446310807903,
0.9893361766152814,
-0.6419617921503699,
0.9432363170943927,
-0.9486004155285249,
-0.6107900966778738,
0.9204263707698779,
0.43734511900093415,
0.30535273679299113,
0.15368463953819783,
0.96166075162252,
-0.9972432015748767,
-0.8995809246460243
],
"y": [
-0.5868283119124478,
0.9848100374418831,
0.7298760149830966,
0.9067776066125616,
0.8723026497753568,
0.781022852341908,
0.23979101000653638,
-0.9997013311945909,
-0.9472460730692525,
-0.7499756686286436,
-0.7892387318352074,
-0.7951660622622365,
-0.4721041925896474,
-0.9013401615091353,
-0.0957723471854666,
-0.054119159174962544,
-0.366346584770173,
-0.729515887411932,
-0.9645634637669045,
0.10321411968275618,
0.6714634864618502,
0.4156527701485108,
0.8805565828472307,
0.39522409063049135,
0.8726941168799589,
0.6071733170104185,
0.8912202620399912,
0.5431818545827274,
0.9555489965809947,
-0.9721687494878748,
-0.9545518705061354,
-0.8377668421384901,
0.7940621590914098,
0.7206876998410744,
0.6089138006814295,
-0.9998019514263146,
-0.9999841957890105,
-0.07809960204238403,
0.21021774402845128,
-0.9805880092982996,
0.2045823557179797,
0.7459175763412259,
0.7795597054042118,
0.27309712960745436,
0.31575182867081797,
0.1112927289952922,
-0.7627849766624113,
-0.1396094283803984,
-0.42364203309533716,
-0.8193873436633303,
0.9823174618189303,
0.005969912051862692,
0.7040129223744674,
-0.850185268026482,
0.14593496628412092,
0.8433406625370816,
-0.7465366895894789,
-0.8681494974436265,
0.9799708418584053,
-0.8961980158983914,
0.9614995842001242,
-0.5737905513925108,
0.24951951702075723,
-0.9532033014764669,
0.9027624421655851,
0.6852937105790308,
-0.9688625399889497,
-0.8335798649948477,
0.7865406978157009,
-0.9959474449711976,
-0.9351498592808077,
0.9999644218262975,
-0.38752239988220577,
0.9005078927898823,
0.9520322475151926,
0.9931216552807252,
-0.40472668356983343,
0.05420117412426935,
-0.26494750249573457,
0.9968821969568183,
-0.19216505745469714,
-0.956228593989745,
0.7962354038144425,
-0.9987357772945104,
-0.07823074696882376,
0.8896260030311924,
0.6385343328876167,
0.3394678825988838,
-0.7617538987017235,
0.9733222617658838,
0.30081635743528584,
0.19800093327546825,
-0.871131617418021,
-0.4070701127359053,
-0.9179038876872744,
0.9526721117231909,
0.6503820600903404,
0.9994235473061638,
-0.516591012280409,
0.2036669718317224,
0.9597135374911329,
0.9462597277635932,
-0.8481084685519833,
0.8020080905928398,
-0.02978447880298602,
-0.9958435644368044,
0.32044590719071075,
0.9990703820901298,
-0.9783956835850931,
-0.27917214707015753,
0.6411838455158325,
-0.5336939110259111,
-0.10578393792963582,
-0.9553822266095365,
0.6127465334368436,
-0.971800615615193,
-0.906733800468269,
0.8341292121238639,
-0.5690800367407572,
-0.25907526568338823,
0.5909238389610436,
0.8088556888107943,
0.5547026474808435,
0.4534584001676703,
-0.17598942582186755,
-0.34680079566878463,
-0.7880747603078347,
0.9999674021252659,
0.9999641575268154,
-0.7114756797862722,
-0.10262731792090905,
0.8638427024195886,
-0.6398525540900313,
0.28445484397834975,
-0.9649283817237131,
0.6531580241671722,
0.31871140649677293,
0.9949354399008923,
-0.2518122070521551,
-0.4687534574908471,
0.6424492048367466,
-0.2996839763039285,
-0.9874516922669868,
-0.1606876904621481,
-0.7495416061630144,
-0.984159430064231,
0.7675894077039763,
-0.025721040946852475,
-0.8235564137011995,
-0.29138609488595263,
0.11857214025024317,
-0.030930070571022577,
0.5070436033090492,
0.818235993856195,
0.41829786215294706,
-0.2307096260422177,
0.9775574586400336,
0.3704795145763357,
0.8550103066321145,
0.6395682961600785,
0.07962392920235983,
-0.9038323239583033,
0.9690545589506586,
-0.5170626230136022,
0.42027064471967934,
-0.04043318097778142,
-0.9918793463238932,
-0.9441633787686181,
0.9927380060782671,
0.7063411492520075,
0.40731280708605744,
-0.17612760409974101,
-0.2831684121497014,
0.9821375020157963,
0.9194123789980025,
0.3700177944044647,
-0.8817666062105614,
0.8793935136419511,
-0.15645161556511136,
-0.9299596482025271,
-0.4252242860889047,
0.009114579159326232,
0.9453371637213281,
0.2301184874579946,
-0.8286778807421105,
-0.5938573515151518,
-0.9915274160286057,
-0.5115409384186209,
0.9954363853246224,
-0.7657326830812748,
-0.3646003684289461,
-0.9975627122663384,
-0.6458386883403812,
0.969324873458161,
-0.9999748086438975,
-0.9303574317278948,
-0.822187022444196,
0.8321572809945637,
0.5778535138990301,
0.8346278767078733,
0.8284576690893309,
-0.569133269559528,
-0.3990308875431086,
0.23559263971646552,
-0.638710197590516,
-0.37884358896067755,
-0.5608055217661417,
0.9857081508813431,
-0.06346860972320142,
-0.6002557618515322,
-0.2535781581468035,
-0.9824024620040303,
0.8486800777021601,
-0.746966519414116,
-0.011258596544283472,
0.2369259554609214,
-0.31288111049190326,
0.9896120302627295,
-0.7793292795677862,
-0.15330670306809252,
0.9313863387278446,
0.20247780042585736,
0.9515496872167788,
0.7391153111251703,
-0.9726760790875872,
-0.14663045837427102,
0.4736338157955475,
-0.974720300616898,
0.7529653869741062,
-0.6699802321408745,
0.060110122859439494,
-0.7872428914373586,
0.9341992001212802,
-0.9962169471099254,
-0.5166215954529594,
-0.4653375413104878,
0.6830317185694796,
-0.9699596409637786,
-0.6266320923886811,
0.7325500610867227,
0.13862668240055712,
-0.7421963395614595,
-0.9701706318809201,
-0.7105934731847139,
-0.4864920199012424,
-0.997984548444778,
-0.1845314872465803,
-0.19467245370667025,
0.7830531153933644,
-0.535224726098825,
-0.05159884963054277,
0.6509120161333183,
0.959635129899382,
0.1278053239134828,
-0.7031084441895139,
0.8768184805337674,
0.918032450175254,
-0.04690735579269835,
-0.6524336507392156,
-0.6616326593095054,
-0.09265888944326468,
0.6610580475213997,
-0.07482537725453296,
0.7108300698746104,
-0.8335082782364615,
-0.49054220880837374,
-0.6833088657612728,
0.5851437605673186,
-0.9392507740558328,
0.9935102966430019,
-0.9181932035078317,
0.35573033344308885,
0.4128581341216351,
0.714963375190294,
0.27366003714007325,
-0.45097605780779776,
-0.9127848002961999,
0.8778736052186634,
-0.2086291512328916,
-0.9942225753281032,
-0.9812043583149033,
0.9913935221099226,
-0.10850500341711497,
-0.6831848049327891,
-0.5409832476770634,
0.46085806061428847,
0.9948361624133786,
0.5123664798051674,
-0.9631987383482407,
-0.5305457241371541,
-0.721884811256279,
-0.0421477656570081,
-0.5545887061155335,
0.9999974316250052,
0.2789659529044812,
-0.8620779265350274,
-0.6956065084486073,
0.38613530319814615,
-0.6404464030084184,
0.15731609712470357,
0.9658519654820316,
0.9991850611731481,
-0.5835372196522237,
0.9892933584367531,
-0.6956544377165527,
0.6819707796441749,
0.8999922553216524,
0.9552894325978026,
-0.967275897063355,
0.7967916467493502,
-0.9535784521243436,
-0.9992719534496564,
-0.9462954124687781,
0.8185176132760724,
0.9793448419650509,
0.9728824939170355,
0.5320536586239236,
-0.636156928191819,
0.9984734401656172,
0.797746485162512,
0.9777798874809457,
-0.9515911422168503,
0.6723786492579816,
0.6763500326280304,
0.9439827659849857,
0.7565946584655195,
0.9952808004809554,
-0.6759196490752202,
-0.9831793375680596,
-0.9995290151845274,
-0.79377273272703,
0.8432743713360841,
-0.8448973529231429,
-0.7896639505741461,
0.9960059052910321,
-0.8256399940556761,
0.5877946030777206,
0.9482986207423406,
-0.016412371935058175,
-0.09416654620165502,
0.880842645567205,
-0.9225305471211247,
-0.6961435192850385,
-0.15239928313344206,
0.9893098048577234,
-0.966781023720649,
-0.7450906925315804,
0.2817530541820077,
0.6105593786633601,
0.639993967826945,
-0.4961751796354892,
0.45745928164360966,
0.7638396702267454,
-0.5384476282731713,
0.254954874252283,
-0.48248182868685596,
-0.30000122830121406,
-0.9508364324601013,
0.5938015806579318,
-0.931011752281707,
0.4475849890629658,
0.3658095796665426,
0.24653199173866192,
0.5298620012914418,
0.9760540921044772,
-0.49937829435003583,
-0.8889977580872732,
-0.7848551255991668,
0.40198899645274955,
-0.4585253697794004,
-0.8032747767901935,
0.5975987626773118,
0.8235880713665096,
0.9999699732630791,
-0.9978169154177831,
-0.9485296439111888,
0.9973904511773741,
-0.09874525780000101,
-0.29436288762170154,
0.7025156066838248,
-0.4790466977445276,
0.5127994339818737,
-0.4504224168926102,
-0.7386188953808038,
0.9585520575343897,
-0.06535419403949859,
0.8912384756047054,
0.9982814222211571,
-0.667440466459215,
-0.9996463261555567,
0.9804613655650488,
-0.6402828939007233,
-0.14207256151072356,
-0.5265720744332661,
0.916302641752947,
0.9656374947530022,
-0.9974720893184013,
-0.43806182180389036,
0.0680221716546073,
0.8052978673792902,
-0.8132342895479753,
0.20049672428551588,
-0.9962936717333024,
-0.10966344695354667,
0.27315510060602943,
-0.8989889741542127,
-0.6202821062558819,
0.9817725309962421,
0.9980990968297391,
-0.8311927828982093,
0.9332928820484189,
-0.015229151100832434,
-0.9761661921255712,
-0.8662752310454953,
-0.35244503829794643,
-0.9421584064931209,
0.978866698754541,
-0.5999314457980138,
-0.6040082283080274,
0.5048503916621011,
-0.9914749319589969,
0.19044357417904847,
-0.1064986549936694,
-0.23290130695943242,
0.875271937839674,
-0.6045785966468138,
0.9929924023717979,
0.12048477430059229,
0.554670256749434,
0.27151274813176407,
-0.9700795366571805,
-0.15980217566956392,
0.2398967435496797,
0.6720653711948603,
-0.9971695970215271,
-0.6652133500052282,
-0.0746439539448511,
0.4046447617602233,
0.23288521515820174,
0.31958139238578387,
0.6413583938064932,
-0.9241020486450265,
0.9822663661773704,
-0.7271130395167725,
-0.9995885583476365,
-0.11042102738088919,
-0.9675790798176286,
0.03610471348987587,
0.8283605411099498,
-0.9999998443655889,
-0.30780864773671873,
-0.997636674314232,
-0.1632275397981279,
-0.9939719043537366,
-0.939424688902788,
-0.9742425020347016,
-0.9947028246975579,
-0.8561440775527969,
-0.4768448801011765,
0.9287582986839543,
0.6034456543816552,
-0.9148280038055954,
-0.9980126302694633,
0.00283036703582487,
-0.9287353226431133,
-0.9997615770814843,
-0.1255554294261551,
-0.9999985425559136,
-0.9433100907910158,
-0.9030589524255466,
-0.4020358701003399,
0.3628578347133601,
-0.011018393590845409,
0.7244927537100057,
0.9882314978359013,
0.925685351991146,
0.6252612571738756,
0.22369656692731635,
0.12824596303832803,
0.9854590344899469,
0.19892493422861773,
-0.986052919299975,
-0.03969796434921363,
-0.929463125245306,
-0.9932550548343198,
-0.25893602808987454,
-0.2846942141431421,
-0.8032795127965332,
-0.6443630875332548,
0.9996375196226885,
0.7180109254907591,
-0.44994283031903687,
0.9995064281275008,
-0.6178348166870284,
-0.6742883285647526,
0.6895242071154072,
-0.9991232547207144,
-0.7416374414953654,
-0.9944699606070868,
-0.8861631471320862,
-0.8355910631554788,
-0.03441602417880701,
0.903808622912805,
0.06432825169403895,
0.40473408336113914,
0.9999530366430358,
-0.6330166192452343,
-0.9121136168828685,
0.7414631300409096,
0.16961940170650686,
-0.5136251578742583,
-0.9953342720208784,
0.8115007061607965,
0.032289485562993374,
0.6266791463571424,
-0.9685209303570481,
0.8533532633164446,
-0.35194194042576943,
-0.4367960710729703,
-0.2853981377847034,
-0.24315711267719292,
0.9636075227551715,
-0.3349207561537619,
0.38103129458847806,
0.9647738049802966,
-0.6147206622625765,
-0.9568075910677452,
0.9882642001711104,
0.6329720718102148,
0.5792913320361222,
-0.07141018910029441,
-0.774219510930062,
-0.9833638051283641,
0.3292717516131351,
0.8678152423640636,
0.1758550217201787,
-0.6309860332004359,
0.5999285326122599,
-0.359675795123052,
-0.4231033784890083,
0.1845981323376896,
0.6566499456812266,
0.47738343870436756,
0.8914348223574702,
-0.8547395205950488,
0.5266394828070183,
-0.7846542544270989,
0.8330594853022262,
-0.9307788538399471,
-0.13362344626191267,
-0.9958413848983543,
0.4803071370200606,
-0.6418081688397386,
-0.40790199263281707,
0.89121485579225,
0.9726514314829752,
0.6010060394418981,
0.27112727157574895,
0.9780137354060854,
-0.6754324682131378,
-0.7474233781047934,
-0.16067523544288956,
-0.9525224064562148,
0.986792367505903,
-0.21391777347200167,
0.8645667297060573,
0.789645582355686,
0.49989374628622224,
0.9994507557592779,
0.8909460071317612,
-0.17720759316604948,
0.3796202818523096,
0.5114037176426911,
-0.5247011417544833,
0.9540332551156399,
-0.0421645720406321,
-0.17099197219476836,
0.996107166718779,
-0.9266442629977486,
-0.9395923026730394,
-0.9148586242455184,
0.031095129882807836,
0.9571931397444098,
0.9997918342780571,
0.8479400220429587,
0.6723191836352198,
-0.858510858415725,
-0.5555331944954558,
0.18367266750215097,
-0.9255205489558598,
-0.4274298087401685,
-0.9130790124769316,
0.9998778626053098,
-0.8496307784571654,
0.999892273200183,
-0.7539818350596764,
-0.6370831695930255,
0.9071806566573434,
0.9999338543966897,
-0.4566896571510606,
0.3942647994047167,
0.59586091668327,
0.7104837555705698,
-0.01761972523951437,
-0.8706892740583962,
0.371657676790796,
0.8218188427793723,
0.6190184215981197,
0.8545824664566882,
0.8427856939752549,
-0.16767021805873863,
-0.8549083015052876,
0.17131471648448368,
-0.9921172991131798,
0.1094663667001,
-0.7679838110039143,
0.9208605977711081,
-0.4642997857877658,
-0.8557121474704712,
0.9880123364133161,
-0.23809780495511182,
-0.9838021996909542,
-0.9393377747322251,
-0.4541252142635874,
-0.9997710249029226,
0.2745762654821505,
0.397883185888086,
-0.31426358725946557,
0.5927007626140559,
0.01355427026551056,
-0.9224029242824648,
-0.06595310889905018,
0.45393851354542614,
0.8775048730329341,
-0.5693141502309784,
-0.14922919724205297,
-0.9172213527587153,
0.777704048509896,
0.7791237146700322,
0.3674845281295892,
-0.8833534893656407,
-0.17581372849477403,
-0.8813467867449174,
0.29113266977717,
-0.9063961906919589,
-0.4674223597762999,
0.5927453350428822,
-0.8951204439159847,
0.99932054355944,
-0.9999451293943014,
0.8441217698213836,
0.18590495114262168,
-0.9597209730577192,
0.0938474915996109,
-0.7307631425916156,
-0.9096776230922988,
-0.9661124433291596,
0.9793809030509676,
-0.30931886519370133,
0.8706606065669175,
-0.5801313581923961,
0.22576048061525492,
0.15291321484992437,
0.08163921526705743,
-0.7011582167657096,
-0.8579558726245498,
-0.681949088771531,
0.9156799146165577,
-0.21612213580551054,
-0.8029656994397515,
-0.9951695021927857,
0.16997264291470995,
0.91377877447606,
0.4212645233920353,
0.9912509268012268,
0.924858521635589,
-0.20358887304057988,
0.7017091438319171,
0.6391246048574054,
-0.08093331067690131,
-0.7040152540646063,
0.9998488492983463,
0.16729061007448942,
0.8325254918083463,
0.47284783168408306,
0.5358910916633579,
0.4741085725802784,
-0.37210962512021095,
0.04260358761317428,
-0.9324479919671461,
0.01653636739395693,
0.628147708370266,
0.7779489918994661,
0.7664603104886479,
0.3606008522204946,
-0.5844794011145196,
0.961077525963467,
-0.9928652891131917,
0.5205972368071241,
-0.7207634440820647,
0.7476510879872358,
-0.3949221852468725,
-0.3854791499845784,
-0.24224497692798397,
0.24565996787865002,
-0.7663348961633789,
-0.4112859594893523,
-0.7821150295027729,
-0.9651865521996541,
0.4349721101578029,
0.827634905083163,
-0.7159756330156615,
0.00462040761605483,
0.21543783242607015,
-0.907504062234122,
0.026470554843161395,
0.5473857435406508,
0.8747068219957799,
-0.6523681401264497,
0.4814580819916172,
0.9394748467871072,
-0.6684960758158092,
-0.15732899471499853,
0.9383480447270742,
-0.38651385264157656,
0.13648169699989024,
-0.9989029602984226,
0.06962589233181235,
-0.8467746947311513,
0.2693840582923034,
-0.7675857085426013,
0.09192688609358177,
0.9108502142411444,
0.5831881671993911,
-0.02877824903347346,
0.9994099089011591,
0.9523862982137901,
0.8389023254538225,
-0.39238489103431673,
0.986182457151418,
0.31710911908477796,
-0.9794817406658682,
-0.38255815567133783,
-0.7251060628123247,
-0.3481821144951348,
-0.007030109066754513,
0.8704788145491832,
-0.8105293164206103,
0.9964169630275432,
-0.7729036497214503,
0.9842925804536485,
0.7826298237291865,
0.6971620883303085,
-0.3290925641838691,
0.3752189583521463,
0.8479840138433694,
0.5800875610516772,
0.06412208192599023,
-0.8486631836285258,
0.32721888910680136,
0.7684733244896352,
-0.29776050000739474,
0.3088844135261107,
0.949461738249111,
0.1052524520085199,
-0.5498097627826602,
-0.8545965404991261,
-0.631964904507489,
0.8063372819395271,
0.9994488383813378,
-0.338401073433259,
-0.9751706002314705,
0.9546722940942074,
0.9791038136979445,
0.3193392521668723,
0.9996164876799046,
0.9880865134814735,
0.8483856364125457,
0.44519020568027395,
0.9186861134313485,
-0.011687230192322123,
-0.9270811593731945,
0.5807287233216465,
0.6348747661599952,
0.9152333692059751,
0.9902119555468224,
0.055288048706061944,
-0.17335032164955771,
-0.7844318584326879,
0.659006497695083,
-0.9447039202248485,
0.9776991241934897,
0.9963183095482341,
0.8590343339351916,
0.2373834609753537,
-0.009450428415621085,
-0.9916302338233658,
-0.00009132595776865801,
0.6647133817079638,
0.20667903443927418,
0.046064591065994344,
0.8856632638377472,
-0.8732244095247673,
-0.9747354624647314,
-0.9927047637145836,
-0.6026952297455449,
0.5517494130754977,
0.9999514894498642,
0.9967254939233213,
-0.5064752546319932,
0.9308522069436964,
0.13930045116885867,
-0.7695639823754183,
-0.3712892084249309,
0.9615550087032465,
0.410855420335806,
0.6364411757170406,
0.5630228877686206,
-0.99986454746055,
-0.6936205247941666,
0.5412290999120525,
0.5646169533697922,
-0.775406693991305,
0.6571043876992156,
0.3334090412923643,
-0.9910757311373903,
-0.9968671967986412,
0.535576359997117,
0.5865929395191861,
0.6269424383980751,
-0.9395995398786074,
-0.817307816704524,
0.7678236076320702,
-0.35834428233993,
-0.12910568572957504,
0.8318943333699534,
0.8006688909948609,
-0.6044977421777539,
0.9407218670119636,
0.9963911816014348,
0.22699733081647666,
-0.9041373752834548,
-0.7106999078453634,
0.8835533488868277,
0.49241687642807563,
0.6561076176148465,
-0.0469582214994357,
0.26726773762554207,
0.15867147848972527,
-0.6501973440484482,
0.44636379094111694,
0.9626556150819873,
0.7176039692406572,
0.7366795829393189,
-0.9599528076728718,
-0.593250073448618,
0.09329290761579058,
-0.4240911424595578,
0.33928818219542534,
0.08804757246785977,
-0.9874541424298575,
-0.7509147422056975,
-0.4381281751000572,
0.6692903164861356,
0.07301987641965074,
-0.3997920576127925,
-0.5764519853791512,
0.9224518458550731,
0.3362207163625335,
0.15099687463280506,
0.3673135242590216,
0.27675463285425933,
-0.31672575618378057,
0.9563693256445701,
-0.8426496417225853,
0.9521466436233361,
0.3163195180746903,
0.9789698541999581,
-0.8390584496123372,
-0.9943612126512181,
0.8458238200085407,
-0.9957759791113816,
-0.19554905264855274,
-0.8674190315940334,
0.07692426651647814,
-0.3936099592396115,
0.8880238574186079,
-0.2274697651543195,
-0.6202573258800337,
0.8957371723295614,
0.6077534577085159,
-0.19447331156689965,
-0.8609454519375899,
-0.28982306441692113,
0.7222288989448747,
-0.6697170445994924,
-0.9685841363830425,
0.46886513638682903,
-0.9319983557499936,
0.7617236744932318,
0.4835261348912096,
0.9425295716565801,
-0.5834731541287947,
0.9578967084905433,
0.9722248194078409,
0.5365250906861941,
-0.7316582213555011,
0.4120844283495942,
0.8953277373761627,
-0.7884583560573383,
-0.7275689955796497,
-0.5487388067233521,
-0.9012672355048287,
0.7082429141791865,
-0.1945328053602878,
0.8035082450878638,
0.6083333227929882,
0.4798412261790579,
0.9889587791768714,
-0.5471056782779823,
-0.252143064640702,
0.687931756507357,
-0.8470539590297497,
0.92862964702211,
-0.8598381653001569,
0.509539676690485,
0.4418590167966869,
-0.8588592849201311,
-0.3424326163874762,
-0.734385923624153,
0.6657550774254059,
0.9720688299443063,
-0.47698597437849677,
0.5535442586172465,
-0.13211446178470876,
0.44134025360562995,
0.9863085333865028,
0.9156064921533787,
0.3802851253060777,
0.8770025716202146,
0.9888780005412977,
-0.9298228428593684,
0.7556313367079254,
-0.6322713589912581,
-0.5671370580663052,
0.7222163072619043,
-0.6041399030379903,
-0.14860830868474845,
0.561352885688724,
-0.9383053628920855,
-0.9999943736038155,
0.9933373891367262,
0.4765427282590485,
-0.9609601307149688,
-0.2428276928424731,
-0.9939884825949298,
-0.22901200814801548,
0.993013414367405,
0.7368542192246238,
0.13999096000893826,
0.30818529952816676,
0.59714089596127,
-0.8995512057198284,
-0.021727531941234456,
0.9822888873070035,
-0.3171940664060772,
0.060515155887809875,
0.056564672139055056,
-0.3168078918464053,
-0.9971196053884209,
-0.34953526581424993,
0.28011766032478813,
0.6656318069142213,
-0.21629334483695442,
-0.9083622993890681,
-0.9697930038300162,
-0.9898328886221693,
0.8923774210658331,
0.8074170051891374,
-0.6364095359217301,
0.7943184572476859,
0.2186867086090825,
-0.9999451940530608,
-0.8674077324522019,
0.5835319735552695,
0.2206377870317302,
-0.13889886996908113,
0.3193268751354208,
-0.1456500245116924,
-0.7667366284579636,
-0.3321223420882829,
0.3164763050515945,
0.7917925598287937,
0.3909159704992766,
0.8992937489419454,
-0.9522393113776759,
0.988119947966852,
-0.27424186184609023,
-0.07420240503305615,
-0.4367541184843067
],
"z": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
},
{
"line": {
"color": "rgb(225, 216, 226)",
"width": 5
},
"mode": "lines",
"name": "Encoding Vector 1",
"scene": "scene",
"type": "scatter3d",
"x": [
0,
1
],
"y": [
0,
0
],
"z": [
0,
0
]
},
{
"colorscale": [
[
0,
"rgb(225, 216, 226)"
],
[
1,
"rgb(225, 216, 226)"
]
],
"scene": "scene",
"showscale": false,
"sizemode": "absolute",
"sizeref": 0.1,
"type": "cone",
"u": [
0.1
],
"v": [
0
],
"w": [
0
],
"x": [
1
],
"y": [
0
],
"z": [
0
]
},
{
"line": {
"color": "rgb(93, 67, 164)",
"width": 5
},
"mode": "lines",
"name": "Encoding Vector 2",
"scene": "scene",
"type": "scatter3d",
"x": [
0,
-0.4999999999999998
],
"y": [
0,
0.8660254037844387
],
"z": [
0,
0
]
},
{
"colorscale": [
[
0,
"rgb(93, 67, 164)"
],
[
1,
"rgb(93, 67, 164)"
]
],
"scene": "scene",
"showscale": false,
"sizemode": "absolute",
"sizeref": 0.1,
"type": "cone",
"u": [
-0.049999999999999975
],
"v": [
0.08660254037844387
],
"w": [
0
],
"x": [
-0.4999999999999998
],
"y": [
0.8660254037844387
],
"z": [
0
]
},
{
"line": {
"color": "rgb(141, 44, 80)",
"width": 5
},
"mode": "lines",
"name": "Encoding Vector 3",
"scene": "scene",
"type": "scatter3d",
"x": [
0,
-0.5000000000000004
],
"y": [
0,
-0.8660254037844384
],
"z": [
0,
0
]
},
{
"colorscale": [
[
0,
"rgb(141, 44, 80)"
],
[
1,
"rgb(141, 44, 80)"
]
],
"scene": "scene",
"showscale": false,
"sizemode": "absolute",
"sizeref": 0.1,
"type": "cone",
"u": [
-0.050000000000000044
],
"v": [
-0.08660254037844384
],
"w": [
0
],
"x": [
-0.5000000000000004
],
"y": [
-0.8660254037844384
],
"z": [
0
]
},
{
"marker": {
"color": [
[
0,
1,
0.3625004724974957,
1
],
[
0.26176306139541405,
0,
1,
1
],
[
1,
0,
0.858088999633117,
1
],
[
0.8408077580871701,
0,
1,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
1,
0,
0.9275743632361277,
1
],
[
0,
0.826840968385086,
1,
1
],
[
0.5176455764691059,
1,
0,
1
],
[
0.8419106066164891,
1,
0,
1
],
[
0,
1,
0.15404569495487538,
1
],
[
1,
0.8569861511037979,
0,
1
],
[
1,
0.8569861511037979,
0,
1
],
[
0,
1,
0.47830868224339584,
1
],
[
0.9577195459548403,
1,
0,
1
],
[
0,
1,
0.8720565953794563,
1
],
[
1,
0.04632357573534044,
0,
1
],
[
1,
0.34742681801505326,
0,
1
],
[
0,
1,
0.1772073369040554,
1
],
[
0.2860276977924041,
1,
0,
1
],
[
0,
0.9426499077234377,
1,
1
],
[
0,
0.36360521103168175,
1,
1
],
[
1,
0,
0.4875003937503936,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
0,
0.6647084533113945,
1,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
0.8871313338225106,
0,
1,
1
],
[
0,
0.5025759382377031,
1,
1
],
[
0.14595412205706287,
0,
1,
1
],
[
0.309189485660074,
1,
0,
1
],
[
0.8187488187488188,
1,
0,
1
],
[
0.015808151837563643,
1,
0.030883696324872714,
1
],
[
0,
0.17831090809032013,
1,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
0,
1,
0.8720565953794563,
1
],
[
0,
0.8500027562527561,
1,
1
],
[
0.726101667278138,
1,
0,
1
],
[
1,
0,
0.27904430294136173,
1
],
[
1,
0,
0.8812507875007872,
1
],
[
0,
0.201472695957991,
1,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0,
0.7341938169144051,
1,
1
],
[
1,
0,
0.18639715147068092,
1
],
[
1,
0.8106625753684576,
0,
1
],
[
0,
1,
0.825733311481096,
1
],
[
1,
0.3937503937503937,
0,
1
],
[
0.008087555881673585,
1,
0.04632488823665283,
1
],
[
0.26176306139541405,
0,
1,
1
],
[
0,
1,
0.9647031631761764,
1
],
[
0,
0.31728163529634135,
1,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
1,
0,
0.20955893933835112,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
0,
1,
0.15404569495487538,
1
],
[
0.9882349698526169,
0.9610300602947661,
0,
1
],
[
0.23860127352774382,
0,
1,
1
],
[
0.10073339485104227,
1,
0,
1
],
[
0.7018370308811488,
0,
1,
1
],
[
1,
0.5558829088240852,
0,
1
],
[
1,
0,
0.32536787867670214,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
0.023161131617013827,
0.016177736765972346,
1,
1
],
[
1,
0,
0.7886036360301064,
1
],
[
0.7724252430134786,
1,
0,
1
],
[
0.015808151837563643,
1,
0.030883696324872714,
1
],
[
0,
0.201472695957991,
1,
1
],
[
0.6102927279397868,
1,
0,
1
],
[
0.19338054632172286,
1,
0,
1
],
[
0.44705736433677606,
0,
1,
1
],
[
1,
0.3705886058827235,
0,
1
],
[
0.023161131617013827,
0.016177736765972346,
1,
1
],
[
0.14595412205706287,
0,
1,
1
],
[
0.33124842499842483,
0,
1,
1
],
[
1,
0.3705886058827235,
0,
1
],
[
1,
0,
0.1400735757353404,
1
],
[
1,
0.2316178786767022,
0,
1
],
[
0.3544102128660951,
0,
1,
1
],
[
1,
0.16213251507369153,
0,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
0.9955879496320674,
0,
0.9463241007358653,
1
],
[
0.4713220007337658,
1,
0,
1
],
[
0,
1,
0.8720565953794563,
1
],
[
0.8871313338225106,
0,
1,
1
],
[
0,
0.38676699889935195,
1,
1
],
[
1,
0,
0.41801503014738306,
1
],
[
1,
0.8106625753684576,
0,
1
],
[
0.6555134551458082,
0,
1,
1
],
[
0,
0.7573556047820753,
1,
1
],
[
0,
0.8500027562527561,
1,
1
],
[
0.9805143738967269,
0.9764712522065463,
0,
1
],
[
0,
1,
0.547793608090936,
1
],
[
0.14705697058638245,
1,
0,
1
],
[
0.724998818748819,
0,
1,
1
],
[
0,
0.38676699889935195,
1,
1
],
[
0.47021915220444627,
0,
1,
1
],
[
1,
0.5095593330887448,
0,
1
],
[
0,
0.8500027562527561,
1,
1
],
[
0.16911590992473247,
0,
1,
1
],
[
0.12279233418939263,
0,
1,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
0,
0.17831090809032013,
1,
1
],
[
0,
1,
0.9183798792778164,
1
],
[
0.6102927279397868,
1,
0,
1
],
[
0,
0.7341938169144051,
1,
1
],
[
0.40073378860143555,
0,
1,
1
],
[
0.3323512735277442,
1,
0,
1
],
[
0,
1,
0.6867634597860162,
1
],
[
1,
0,
0.742280060294766,
1
],
[
0,
1,
0.43198539834503574,
1
],
[
1,
0.09264715147068088,
0,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
0.7492634551458082,
1,
0,
1
],
[
0.12389518271871214,
1,
0,
1
],
[
0,
0.10882554448730952,
1,
1
],
[
1,
0.5558829088240852,
0,
1
],
[
1,
0.2316178786767022,
0,
1
],
[
1,
0,
0.6727946966917553,
1
],
[
0.9878673536761773,
0,
0.9617652926476454,
1
],
[
1,
0,
0.6264711209564149,
1
],
[
0,
0.5952230897083839,
1,
1
],
[
1,
0.16213251507369153,
0,
1
],
[
1,
0.32426503014738306,
0,
1
],
[
0,
1,
0.10772241105651532,
1
],
[
0.44705736433677606,
0,
1,
1
],
[
0.42389557646910575,
0,
1,
1
],
[
0,
1,
0.20036897885323546,
1
],
[
0,
1,
0.8488949534302763,
1
],
[
0.9334549095578512,
0,
1,
1
],
[
1,
0.6485300602947661,
0,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0.2860276977924041,
1,
0,
1
],
[
0,
0.38676699889935195,
1,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
0.5397045158074564,
0,
1,
1
],
[
1,
0.2316178786767022,
0,
1
],
[
0,
1,
0.5014703241925758,
1
],
[
1,
0,
0.742280060294766,
1
],
[
1,
0.2779414544120426,
0,
1
],
[
0.6797780915427977,
1,
0,
1
],
[
0,
1,
0.8025716695319163,
1
],
[
0,
1,
0.15404569495487538,
1
],
[
0.7029398794104678,
1,
0,
1
],
[
1,
0,
0.9044125753684575,
1
],
[
0,
1,
0.9183798792778164,
1
],
[
1,
0.9033097268391386,
0,
1
],
[
0,
1,
0.6636018178368361,
1
],
[
0,
0.9426499077234377,
1,
1
],
[
1,
0.02316178786767022,
0,
1
],
[
0,
0.5488995139730435,
1,
1
],
[
0,
0.13198733235497973,
1,
1
],
[
0,
0.6415466654437243,
1,
1
],
[
1,
0.20845609080903196,
0,
1
],
[
0.23860127352774382,
0,
1,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
0.9566166974255214,
0,
1,
1
],
[
1,
0,
0.742280060294766,
1
],
[
0,
0.9658116955911072,
1,
1
],
[
0.9577195459548403,
1,
0,
1
],
[
0.6786752430134784,
0,
1,
1
],
[
0,
1,
0.43198539834503574,
1
],
[
1,
0,
0.4875003937503936,
1
],
[
0,
1,
0.9183798792778164,
1
],
[
0.6566163036751272,
1,
0,
1
],
[
0.21654233418939306,
1,
0,
1
],
[
0.33124842499842483,
0,
1,
1
],
[
1,
0,
0.8117654238977766,
1
],
[
0,
0.6415466654437243,
1,
1
],
[
1,
0.16213251507369153,
0,
1
],
[
0,
1,
0.6867634597860162,
1
],
[
0.26176306139541405,
0,
1,
1
],
[
0.053306970586381903,
0,
1,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
0.9805143738967269,
0.9764712522065463,
0,
1
],
[
0.00771993970523371,
0.04706012058953258,
1,
1
],
[
1,
0.1389707272060213,
0,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
0,
1,
0.547793608090936,
1
],
[
0,
1,
0.9647031631761764,
1
],
[
0.7481606066164892,
0,
1,
1
],
[
0,
0.826840968385086,
1,
1
],
[
1,
0.9033097268391386,
0,
1
],
[
1,
0.5790446966917554,
0,
1
],
[
0.6566163036751272,
1,
0,
1
],
[
0,
1,
0.45514704029421543,
1
],
[
0.5165427279397867,
0,
1,
1
],
[
0,
1,
0.13088405300569536,
1
],
[
0,
1,
0.594116891989296,
1
],
[
0.5871309400721167,
1,
0,
1
],
[
1,
0.6485300602947661,
0,
1
],
[
0.6786752430134784,
0,
1,
1
],
[
0.5176455764691059,
1,
0,
1
],
[
0.17021875845405265,
1,
0,
1
],
[
1,
0.9033097268391386,
0,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
0,
0.4562523625023627,
1,
1
],
[
0,
0.10882554448730952,
1,
1
],
[
0.9801467577202873,
0,
0.9772064845594255,
1
],
[
0,
1,
0.3856621144466757,
1
],
[
1,
0.3705886058827235,
0,
1
],
[
1,
0,
0.30220609080903194,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
1,
0.34742681801505326,
0,
1
],
[
0,
1,
0.3856621144466757,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
1,
0.04632357573534044,
0,
1
],
[
1,
0.6022064845594256,
0,
1
],
[
0,
1,
0.7099251017351961,
1
],
[
0.3555130613954144,
1,
0,
1
],
[
0,
0.08566375661963932,
1,
1
],
[
0,
1,
0.15404569495487538,
1
],
[
0,
1,
0.9415415212269964,
1
],
[
1,
0,
0.30220609080903194,
1
],
[
1,
0.2779414544120426,
0,
1
],
[
0.5628663036751272,
0,
1,
1
],
[
0,
1,
0.10772241105651532,
1
],
[
1,
0.1389707272060213,
0,
1
],
[
0.07646875845405214,
0,
1,
1
],
[
1,
0,
0.27904430294136173,
1
],
[
0.14595412205706287,
0,
1,
1
],
[
1,
0,
0.858088999633117,
1
],
[
0.309189485660074,
1,
0,
1
],
[
0,
1,
0.825733311481096,
1
],
[
0,
0.5720613018407144,
1,
1
],
[
0.7492634551458082,
1,
0,
1
],
[
1,
0,
0.8812507875007872,
1
],
[
0,
1,
0.2698539047007752,
1
],
[
1,
0,
0.1400735757353404,
1
],
[
0,
1,
0.10772241105651532,
1
],
[
0.09963054632172239,
0,
1,
1
],
[
0.6102927279397868,
1,
0,
1
],
[
0,
1,
0.43198539834503574,
1
],
[
0,
1,
0.5014703241925758,
1
],
[
0,
0.34044342316401155,
1,
1
],
[
0.7724252430134786,
1,
0,
1
],
[
1,
0.6253682724270958,
0,
1
],
[
0,
0.27095805956100094,
1,
1
],
[
0,
0.9194881198557668,
1,
1
],
[
1,
0.7875007875007874,
0,
1
],
[
0.7492634551458082,
1,
0,
1
],
[
0,
1,
0.20036897885323546,
1
],
[
0,
1,
0.47830868224339584,
1
],
[
0.4713220007337658,
1,
0,
1
],
[
0,
1,
0.7794100275827363,
1
],
[
0,
1,
0.7794100275827363,
1
],
[
1,
0,
0.9275743632361277,
1
],
[
1,
0.532721120956415,
0,
1
],
[
0,
1,
0.8952182373286364,
1
],
[
1,
0,
0.742280060294766,
1
],
[
0.7018370308811488,
0,
1,
1
],
[
0,
0.9194881198557668,
1,
1
],
[
0,
1,
0.22353062080241548,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
0.8176459702194999,
0,
1,
1
],
[
0,
1,
0.9183798792778164,
1
],
[
1,
0.6485300602947661,
0,
1
],
[
1,
0.6716918481624363,
0,
1
],
[
0,
1,
0.8720565953794563,
1
],
[
0,
0.36360521103168175,
1,
1
],
[
1,
0.06948536360301065,
0,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
0.015808151837563643,
1,
0.030883696324872714,
1
],
[
1,
0.4632357573534044,
0,
1
],
[
0,
1,
0.2466922627515955,
1
],
[
1,
0,
0.6727946966917553,
1
],
[
0.8650723944841594,
1,
0,
1
],
[
0.5397045158074564,
0,
1,
1
],
[
0.9113959702194997,
1,
0,
1
],
[
1,
0,
0.41801503014738306,
1
],
[
1,
0,
0.4875003937503936,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0,
1,
0.5014703241925758,
1
],
[
0.12389518271871214,
1,
0,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
1,
0.18529430294136176,
0,
1
],
[
0.633454515807457,
1,
0,
1
],
[
0.3555130613954144,
1,
0,
1
],
[
0.30808663713075457,
0,
1,
1
],
[
1,
0.09264715147068088,
0,
1
],
[
0,
1,
0.2466922627515955,
1
],
[
0,
1,
0.4088237563958557,
1
],
[
0,
0.5952230897083839,
1,
1
],
[
0.5397045158074564,
0,
1,
1
],
[
0,
0.5488995139730435,
1,
1
],
[
0.2628659099247336,
1,
0,
1
],
[
0,
1,
0.43198539834503574,
1
],
[
1,
0.741177211765447,
0,
1
],
[
1,
0.02316178786767022,
0,
1
],
[
1,
0.532721120956415,
0,
1
],
[
0.44705736433677606,
0,
1,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0.03124934374934376,
1,
0.0000013125013124790507,
1
],
[
0,
1,
0.22353062080241548,
1
],
[
1,
0,
0.4643386058827234,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
1,
0,
0.23272072720602122,
1
],
[
0.19227769779240333,
0,
1,
1
],
[
0.47021915220444627,
0,
1,
1
],
[
0,
1,
0.3625004724974957,
1
],
[
0.30808663713075457,
0,
1,
1
],
[
1,
0.7180154238977768,
0,
1
],
[
0,
0.34044342316401155,
1,
1
],
[
0.8639695459548403,
0,
1,
1
],
[
0.14595412205706287,
0,
1,
1
],
[
0.7724252430134786,
1,
0,
1
],
[
0.9955879496320674,
0,
0.9463241007358653,
1
],
[
0.8187488187488188,
1,
0,
1
],
[
0.4944837886014357,
1,
0,
1
],
[
0.21654233418939306,
1,
0,
1
],
[
0,
0.13198733235497973,
1,
1
],
[
0.632351667278138,
0,
1,
1
],
[
0.2154394856600736,
0,
1,
1
],
[
1,
0,
0.6033093330887447,
1
],
[
1,
0.6485300602947661,
0,
1
],
[
0.4933809400721165,
0,
1,
1
],
[
0.9955879496320674,
0,
0.9463241007358653,
1
],
[
0.632351667278138,
0,
1,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
0,
0.34044342316401155,
1,
1
],
[
0,
0.34044342316401155,
1,
1
],
[
0.12279233418939263,
0,
1,
1
],
[
1,
0,
0.8812507875007872,
1
],
[
0.5165427279397867,
0,
1,
1
],
[
1,
0.6948536360301065,
0,
1
],
[
0.7029398794104678,
1,
0,
1
],
[
0.5639691522044463,
1,
0,
1
],
[
0,
1,
0.08456076910733497,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
0,
1,
0.08456076910733497,
1
],
[
0.3544102128660951,
0,
1,
1
],
[
0.008087555881673585,
1,
0.04632488823665283,
1
],
[
0,
0.4562523625023627,
1,
1
],
[
0.12279233418939263,
0,
1,
1
],
[
1,
0,
0,
1
],
[
1,
0.06948536360301065,
0,
1
],
[
0.00771993970523371,
0.04706012058953258,
1,
1
],
[
0.14705697058638245,
1,
0,
1
],
[
0,
1,
0.22353062080241548,
1
],
[
1,
0.1389707272060213,
0,
1
],
[
0.5628663036751272,
0,
1,
1
],
[
0.2860276977924041,
1,
0,
1
],
[
1,
0.7875007875007874,
0,
1
],
[
0,
0.7805173926497455,
1,
1
],
[
1,
0,
0.6959564845594255,
1
],
[
1,
0,
0.742280060294766,
1
],
[
0,
1,
0.45514704029421543,
1
],
[
1,
0,
0.5338239694857341,
1
],
[
0,
0.22463448382566054,
1,
1
],
[
1,
0.532721120956415,
0,
1
],
[
1,
0,
0.32536787867670214,
1
],
[
1,
0.4632357573534044,
0,
1
],
[
0,
1,
0.6636018178368361,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
1,
0,
0.6727946966917553,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
1,
0,
0.5106621816180639,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
0,
0.8036791805174157,
1,
1
],
[
1,
0,
0.6033093330887447,
1
],
[
0.632351667278138,
0,
1,
1
],
[
1,
0.48639754522107453,
0,
1
],
[
0.9727937779408368,
0.9919124441183264,
0,
1
],
[
1,
0.8338243632361279,
0,
1
],
[
1,
0,
0.4643386058827234,
1
],
[
1,
0.4400739694857342,
0,
1
],
[
1,
0.8801479389714684,
0,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
0.9801467577202873,
0,
0.9772064845594255,
1
],
[
0.42389557646910575,
0,
1,
1
],
[
0.5871309400721167,
1,
0,
1
],
[
0.21654233418939306,
1,
0,
1
],
[
0.4933809400721165,
0,
1,
1
],
[
0,
1,
0.8488949534302763,
1
],
[
0,
1,
0.6636018178368361,
1
],
[
0,
0.31728163529634135,
1,
1
],
[
0,
1,
0.47830868224339584,
1
],
[
0,
0.5488995139730435,
1,
1
],
[
1,
0.4400739694857342,
0,
1
],
[
1,
0.764338999633117,
0,
1
],
[
0.7018370308811488,
0,
1,
1
],
[
0,
1,
0.8952182373286364,
1
],
[
0.8871313338225106,
0,
1,
1
],
[
0.3775720007337653,
0,
1,
1
],
[
1,
0.6716918481624363,
0,
1
],
[
0.4944837886014357,
1,
0,
1
],
[
0.23860127352774382,
0,
1,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
1,
0.1158089393383511,
0,
1
],
[
0,
1,
0.43198539834503574,
1
],
[
0.053306970586381903,
0,
1,
1
],
[
0.6786752430134784,
0,
1,
1
],
[
0.5871309400721167,
1,
0,
1
],
[
0,
1,
0.5246319661417559,
1
],
[
0,
0.9889734834587774,
1,
1
],
[
0,
0.15514912022264993,
1,
1
],
[
0.0003669599257835228,
1,
0.061766080148432954,
1
],
[
0,
0.8500027562527561,
1,
1
],
[
0.6102927279397868,
1,
0,
1
],
[
1,
0.09264715147068088,
0,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0.9577195459548403,
1,
0,
1
],
[
1,
0.6253682724270958,
0,
1
],
[
0.6091898794104678,
0,
1,
1
],
[
0.4933809400721165,
0,
1,
1
],
[
0.008087555881673585,
1,
0.04632488823665283,
1
],
[
0.7713223944841594,
0,
1,
1
],
[
1,
0,
0,
1
],
[
0.726101667278138,
1,
0,
1
],
[
0.03124934374934376,
1,
0.0000013125013124790507,
1
],
[
0,
1,
0.617278533938476,
1
],
[
0.8419106066164891,
1,
0,
1
],
[
0.632351667278138,
0,
1,
1
],
[
1,
0.6022064845594256,
0,
1
],
[
0,
1,
0.33933883054831565,
1
],
[
1,
0,
0.5801475452210745,
1
],
[
0.4018366371307548,
1,
0,
1
],
[
0,
0.8731645441204264,
1,
1
],
[
1,
0.09264715147068088,
0,
1
],
[
0,
1,
0.7330867436843761,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
1,
0.6022064845594256,
0,
1
],
[
0.5397045158074564,
0,
1,
1
],
[
0,
0.9426499077234377,
1,
1
],
[
0,
0.5025759382377031,
1,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0.7492634551458082,
1,
0,
1
],
[
0,
1,
0.8025716695319163,
1
],
[
0,
0.826840968385086,
1,
1
],
[
1,
0,
0.7886036360301064,
1
],
[
0.6102927279397868,
1,
0,
1
],
[
0,
1,
0.2698539047007752,
1
],
[
1,
0.06948536360301065,
0,
1
],
[
1,
0,
0.4643386058827234,
1
],
[
1,
0,
0.30220609080903194,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
1,
0,
0.742280060294766,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
0.26176306139541405,
0,
1,
1
],
[
0,
1,
0.1772073369040554,
1
],
[
0.4944837886014357,
1,
0,
1
],
[
1,
0.09264715147068088,
0,
1
],
[
0.2860276977924041,
1,
0,
1
],
[
0,
1,
0.9878648051253566,
1
],
[
0.9801467577202873,
0,
0.9772064845594255,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
1,
0.2779414544120426,
0,
1
],
[
0.4713220007337658,
1,
0,
1
],
[
1,
0.1389707272060213,
0,
1
],
[
0.424998424998425,
1,
0,
1
],
[
0.19338054632172286,
1,
0,
1
],
[
0.7492634551458082,
1,
0,
1
],
[
0.633454515807457,
1,
0,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
1,
0.4632357573534044,
0,
1
],
[
0.07646875845405214,
0,
1,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
0.9113959702194997,
1,
0,
1
],
[
0.4713220007337658,
1,
0,
1
],
[
1,
0,
0.09375,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
0,
1,
0.825733311481096,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
0.21654233418939306,
1,
0,
1
],
[
0.9577195459548403,
1,
0,
1
],
[
0,
1,
0.5709552500401159,
1
],
[
1,
0,
0.4411768180150532,
1
],
[
1,
0,
0,
1
],
[
1,
0,
0.858088999633117,
1
],
[
0.5860280915427974,
0,
1,
1
],
[
0.7944841823518297,
0,
1,
1
],
[
1,
0,
0.7191182724270964,
1
],
[
1,
0,
0.30220609080903194,
1
],
[
1,
0,
0.20955893933835112,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
1,
0,
0.27904430294136173,
1
],
[
0.3786748492630846,
1,
0,
1
],
[
0,
1,
0.9183798792778164,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
0.424998424998425,
1,
0,
1
],
[
1,
0.2316178786767022,
0,
1
],
[
1,
0.2547796665443724,
0,
1
],
[
1,
0.8801479389714684,
0,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
0.40073378860143555,
0,
1,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
0,
1,
0.5014703241925758,
1
],
[
0.47021915220444627,
0,
1,
1
],
[
1,
0.6253682724270958,
0,
1
],
[
0,
1,
0.2466922627515955,
1
],
[
1,
0,
0.7886036360301064,
1
],
[
0.4944837886014357,
1,
0,
1
],
[
1,
0.7875007875007874,
0,
1
],
[
0.424998424998425,
1,
0,
1
],
[
0.9727937779408368,
0.9919124441183264,
0,
1
],
[
0.015808151837563643,
1,
0.030883696324872714,
1
],
[
0,
1,
0.9183798792778164,
1
],
[
0.8639695459548403,
0,
1,
1
],
[
1,
0,
0.1400735757353404,
1
],
[
1,
0,
0.4643386058827234,
1
],
[
0.42389557646910575,
0,
1,
1
],
[
0,
1,
0.3161771885991356,
1
],
[
0.93455775808717,
1,
0,
1
],
[
0,
0.24779627169333063,
1,
1
],
[
0,
0.8963263319880966,
1,
1
],
[
0,
1,
0.45514704029421543,
1
],
[
0.4481602128660953,
1,
0,
1
],
[
0.9878673536761773,
0,
0.9617652926476454,
1
],
[
1,
0,
0.1169117878676702,
1
],
[
0,
0.40992878676702216,
1,
1
],
[
0.7724252430134786,
1,
0,
1
],
[
0,
0.08566375661963932,
1,
1
],
[
1,
0.32426503014738306,
0,
1
],
[
0,
1,
0.5246319661417559,
1
],
[
1,
0.2547796665443724,
0,
1
],
[
0,
1,
0.7099251017351961,
1
],
[
0.7018370308811488,
0,
1,
1
],
[
0,
1,
0.6404401758876557,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
0.19227769779240333,
0,
1,
1
],
[
1,
0.6022064845594256,
0,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0,
0.40992878676702216,
1,
1
],
[
0,
0.4562523625023627,
1,
1
],
[
1,
0.04632357573534044,
0,
1
],
[
0,
1,
0.10772241105651532,
1
],
[
0.3555130613954144,
1,
0,
1
],
[
0,
0.7341938169144051,
1,
1
],
[
0.9334549095578512,
0,
1,
1
],
[
1,
0,
0.2558825150736914,
1
],
[
0,
1,
0.3161771885991356,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
1,
0.32426503014738306,
0,
1
],
[
0,
1,
0.547793608090936,
1
],
[
1,
0,
0.2558825150736914,
1
],
[
0,
0.36360521103168175,
1,
1
],
[
1,
0,
0.5569857573534043,
1
],
[
0.8871313338225106,
0,
1,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
1,
0,
0.6033093330887447,
1
],
[
0,
1,
0.10772241105651532,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
0.17021875845405265,
1,
0,
1
],
[
0,
1,
0.825733311481096,
1
],
[
0.4481602128660953,
1,
0,
1
],
[
1,
0,
0.5569857573534043,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
1,
0.3937503937503937,
0,
1
],
[
0.015440535661123769,
0.03161892867775246,
1,
1
],
[
0.6555134551458082,
0,
1,
1
],
[
1,
0,
0.6959564845594255,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0.23860127352774382,
0,
1,
1
],
[
0,
1,
0.2466922627515955,
1
],
[
0,
1,
0.15404569495487538,
1
],
[
0,
1,
0.8025716695319163,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0,
1,
0.7562483856335561,
1
],
[
0,
0.062501968751969,
1,
1
],
[
0.9955879496320674,
0,
0.9463241007358653,
1
],
[
0,
0.5488995139730435,
1,
1
],
[
0.47021915220444627,
0,
1,
1
],
[
0.015440535661123769,
0.03161892867775246,
1,
1
],
[
0,
1,
0.7794100275827363,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
1,
0,
0.5801475452210745,
1
],
[
1,
0.5095593330887448,
0,
1
],
[
0.724998818748819,
0,
1,
1
],
[
1,
0.02316178786767022,
0,
1
],
[
1,
0.16213251507369153,
0,
1
],
[
0.5165427279397867,
0,
1,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
0.19338054632172286,
1,
0,
1
],
[
0.14705697058638245,
1,
0,
1
],
[
0,
1,
0.9878648051253566,
1
],
[
0.16911590992473247,
0,
1,
1
],
[
0.44705736433677606,
0,
1,
1
],
[
0.9566166974255214,
0,
1,
1
],
[
0,
0.34044342316401155,
1,
1
],
[
0.03124934374934376,
1,
0.0000013125013124790507,
1
],
[
1,
0.532721120956415,
0,
1
],
[
1,
0,
0.2558825150736914,
1
],
[
0.17021875845405265,
1,
0,
1
],
[
1,
0.3937503937503937,
0,
1
],
[
0.93455775808717,
1,
0,
1
],
[
0.42389557646910575,
0,
1,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
0.44705736433677606,
0,
1,
1
],
[
0,
1,
0.15404569495487538,
1
],
[
1,
0.6485300602947661,
0,
1
],
[
0.8408077580871701,
0,
1,
1
],
[
0.42389557646910575,
0,
1,
1
],
[
1,
0.4400739694857342,
0,
1
],
[
1,
0,
0.4643386058827234,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
1,
0,
0,
1
],
[
0.05440981911570142,
1,
0,
1
],
[
1,
0,
0.4411768180150532,
1
],
[
0,
0.13198733235497973,
1,
1
],
[
0,
0.40992878676702216,
1,
1
],
[
0.9566166974255214,
0,
1,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
0,
1,
0.8025716695319163,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
1,
0,
0.2558825150736914,
1
],
[
0.4018366371307548,
1,
0,
1
],
[
1,
0,
0.18639715147068092,
1
],
[
1,
0.8106625753684576,
0,
1
],
[
0.8176459702194999,
0,
1,
1
],
[
0,
1,
0.5014703241925758,
1
],
[
0.0235287477934537,
1,
0.015442504413092598,
1
],
[
0.5860280915427974,
0,
1,
1
],
[
0,
1,
0.7330867436843761,
1
],
[
0.7029398794104678,
1,
0,
1
],
[
0.19338054632172286,
1,
0,
1
],
[
0,
1,
0.5014703241925758,
1
],
[
0.5176455764691059,
1,
0,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0,
0.6647084533113945,
1,
1
],
[
0,
1,
0.6404401758876557,
1
],
[
1,
0,
0.6727946966917553,
1
],
[
1,
0,
0.09375,
1
],
[
0.9113959702194997,
1,
0,
1
],
[
1,
0.04632357573534044,
0,
1
],
[
1,
0,
0.5338239694857341,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
1,
0.5558829088240852,
0,
1
],
[
0,
1,
0.8025716695319163,
1
],
[
0.9113959702194997,
1,
0,
1
],
[
0,
0.201472695957991,
1,
1
],
[
1,
0,
0.9275743632361277,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
0.07757160698337173,
1,
0,
1
],
[
0,
1,
0.7794100275827363,
1
],
[
0.9805143738967269,
0.9764712522065463,
0,
1
],
[
1,
0,
0.37169145441204254,
1
],
[
0.93455775808717,
1,
0,
1
],
[
1,
0.4400739694857342,
0,
1
],
[
0,
0.4562523625023627,
1,
1
],
[
0.9577195459548403,
1,
0,
1
],
[
0.47021915220444627,
0,
1,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
1,
0,
0.2558825150736914,
1
],
[
0.7955870308811486,
1,
0,
1
],
[
0,
0.9658116955911072,
1,
1
],
[
0,
1,
0.1772073369040554,
1
],
[
0.12389518271871214,
1,
0,
1
],
[
0.2860276977924041,
1,
0,
1
],
[
0.23860127352774382,
0,
1,
1
],
[
0,
1,
0.6636018178368361,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
0,
1,
0.3625004724974957,
1
],
[
0,
0.826840968385086,
1,
1
],
[
0,
0.8963263319880966,
1,
1
],
[
0,
0.9658116955911072,
1,
1
],
[
0,
1,
0.22353062080241548,
1
],
[
0.03124934374934376,
1,
0.0000013125013124790507,
1
],
[
1,
0.6948536360301065,
0,
1
],
[
0.053306970586381903,
0,
1,
1
],
[
1,
0.18529430294136176,
0,
1
],
[
1,
0.8569861511037979,
0,
1
],
[
0.424998424998425,
1,
0,
1
],
[
1,
0,
0.23272072720602122,
1
],
[
0.8408077580871701,
0,
1,
1
],
[
0,
0.6415466654437243,
1,
1
],
[
0.30808663713075457,
0,
1,
1
],
[
0.07646875845405214,
0,
1,
1
],
[
1,
0.18529430294136176,
0,
1
],
[
0,
0.31728163529634135,
1,
1
],
[
1,
0,
0.742280060294766,
1
],
[
1,
0.06948536360301065,
0,
1
],
[
1,
0.7180154238977768,
0,
1
],
[
0.44705736433677606,
0,
1,
1
],
[
1,
0,
0.23272072720602122,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
0,
0.5720613018407144,
1,
1
],
[
0,
0.5025759382377031,
1,
1
],
[
0,
0.5720613018407144,
1,
1
],
[
1,
0.34742681801505326,
0,
1
],
[
1,
0,
0.1169117878676702,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
1,
0,
0.09375,
1
],
[
0,
0.40992878676702216,
1,
1
],
[
1,
0,
0.9275743632361277,
1
],
[
1,
0,
0.9044125753684575,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
1,
0.5790446966917554,
0,
1
],
[
0.16911590992473247,
0,
1,
1
],
[
0.424998424998425,
1,
0,
1
],
[
0,
0.5257377261053733,
1,
1
],
[
0,
1,
0.20036897885323546,
1
],
[
1,
0,
0.8812507875007872,
1
],
[
1,
0.3705886058827235,
0,
1
],
[
0,
1,
0.5709552500401159,
1
],
[
1,
0.20845609080903196,
0,
1
],
[
0,
0.8036791805174157,
1,
1
],
[
1,
0.8106625753684576,
0,
1
],
[
1,
0.3937503937503937,
0,
1
],
[
0,
1,
0.10772241105651532,
1
],
[
0.7724252430134786,
1,
0,
1
],
[
0,
0.6183848775760541,
1,
1
],
[
0.9801467577202873,
0,
0.9772064845594255,
1
],
[
0,
1,
0.20036897885323546,
1
],
[
1,
0,
0.09375,
1
],
[
0,
0.8500027562527561,
1,
1
],
[
0.12389518271871214,
1,
0,
1
],
[
1,
0,
0.1169117878676702,
1
],
[
0,
0.5025759382377031,
1,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
0,
0.5720613018407144,
1,
1
],
[
0.09963054632172239,
0,
1,
1
],
[
0,
1,
0.2698539047007752,
1
],
[
0,
1,
0.8025716695319163,
1
],
[
0.09963054632172239,
0,
1,
1
],
[
1,
0.3705886058827235,
0,
1
],
[
0,
0.9194881198557668,
1,
1
],
[
0.5639691522044463,
1,
0,
1
],
[
1,
0,
0.1400735757353404,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
0,
0.7805173926497455,
1,
1
],
[
0,
1,
0.13088405300569536,
1
],
[
0,
0.9658116955911072,
1,
1
],
[
0.8408077580871701,
0,
1,
1
],
[
0,
0.4562523625023627,
1,
1
],
[
1,
0.02316178786767022,
0,
1
],
[
0.47021915220444627,
0,
1,
1
],
[
0.724998818748819,
0,
1,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
1,
0.3705886058827235,
0,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0,
0.7341938169144051,
1,
1
],
[
0.726101667278138,
1,
0,
1
],
[
0,
1,
0.594116891989296,
1
],
[
0,
1,
0.1772073369040554,
1
],
[
0,
1,
0.617278533938476,
1
],
[
0,
1,
0.9415415212269964,
1
],
[
0.9102931216901803,
0,
1,
1
],
[
0.0003669599257835228,
1,
0.061766080148432954,
1
],
[
0.3544102128660951,
0,
1,
1
],
[
1,
0.8106625753684576,
0,
1
],
[
0.26176306139541405,
0,
1,
1
],
[
1,
0,
0.9275743632361277,
1
],
[
1,
0,
0.8117654238977766,
1
],
[
0,
1,
0.6404401758876557,
1
],
[
1,
0,
0.4411768180150532,
1
],
[
0.9566166974255214,
0,
1,
1
],
[
1,
0,
0.6727946966917553,
1
],
[
1,
0,
0.1400735757353404,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
1,
0,
0.9044125753684575,
1
],
[
0,
1,
0.6636018178368361,
1
],
[
0,
0.7573556047820753,
1,
1
],
[
0.7481606066164892,
0,
1,
1
],
[
0,
0.9426499077234377,
1,
1
],
[
1,
0.532721120956415,
0,
1
],
[
0.9959555658085071,
0.9455888683829858,
0,
1
],
[
1,
0.6253682724270958,
0,
1
],
[
0.9878673536761773,
0,
0.9617652926476454,
1
],
[
0.47021915220444627,
0,
1,
1
],
[
1,
0.32426503014738306,
0,
1
],
[
0.7492634551458082,
1,
0,
1
],
[
0.724998818748819,
0,
1,
1
],
[
0.23860127352774382,
0,
1,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
0.40073378860143555,
0,
1,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0,
0.08566375661963932,
1,
1
],
[
1,
0,
0.5106621816180639,
1
],
[
0.8176459702194999,
0,
1,
1
],
[
0,
1,
0.9415415212269964,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
0,
0.4562523625023627,
1,
1
],
[
1,
0,
0.742280060294766,
1
],
[
0.053306970586381903,
0,
1,
1
],
[
0.30808663713075457,
0,
1,
1
],
[
0,
0.9889734834587774,
1,
1
],
[
0,
1,
0.7794100275827363,
1
],
[
0,
1,
0.10772241105651532,
1
],
[
1,
0,
0.7654418481624362,
1
],
[
0.8419106066164891,
1,
0,
1
],
[
0.632351667278138,
0,
1,
1
],
[
0.5165427279397867,
0,
1,
1
],
[
0,
0.062501968751969,
1,
1
],
[
1,
0,
0.30220609080903194,
1
],
[
0,
1,
0.9415415212269964,
1
],
[
0.4018366371307548,
1,
0,
1
],
[
0,
1,
0.9415415212269964,
1
],
[
0,
0.36360521103168175,
1,
1
],
[
1,
0,
0.27904430294136173,
1
],
[
0,
1,
0.9878648051253566,
1
],
[
0.015440535661123769,
0.03161892867775246,
1,
1
],
[
0.05440981911570142,
1,
0,
1
],
[
0.7492634551458082,
1,
0,
1
],
[
0.424998424998425,
1,
0,
1
],
[
0,
1,
0.33933883054831565,
1
],
[
1,
0,
0.6264711209564149,
1
],
[
0.44705736433677606,
0,
1,
1
],
[
0.5165427279397867,
0,
1,
1
],
[
1,
0.48639754522107453,
0,
1
],
[
0.7944841823518297,
0,
1,
1
],
[
0,
0.9194881198557668,
1,
1
],
[
0,
1,
0.13088405300569536,
1
],
[
0,
1,
0.594116891989296,
1
],
[
0.16911590992473247,
0,
1,
1
],
[
0,
0.6415466654437243,
1,
1
],
[
0,
0.38676699889935195,
1,
1
],
[
0,
0.4794141503700329,
1,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
1,
0.7180154238977768,
0,
1
],
[
1,
0,
0.6264711209564149,
1
],
[
1,
0,
0.6496329088240851,
1
],
[
1,
0.8338243632361279,
0,
1
],
[
0,
0.36360521103168175,
1,
1
],
[
0,
0.7341938169144051,
1,
1
],
[
0.4018366371307548,
1,
0,
1
],
[
0.6102927279397868,
1,
0,
1
],
[
1,
0,
0.6264711209564149,
1
],
[
1,
0,
0.6727946966917553,
1
],
[
0,
0.40992878676702216,
1,
1
],
[
0.19338054632172286,
1,
0,
1
],
[
0.0003669599257835228,
1,
0.061766080148432954,
1
],
[
1,
0,
0.9044125753684575,
1
],
[
1,
0.32426503014738306,
0,
1
],
[
0,
1,
0.825733311481096,
1
],
[
0.9724261617643972,
0,
0.9926476764712057,
1
],
[
0.9955879496320674,
0,
0.9463241007358653,
1
],
[
1,
0.6022064845594256,
0,
1
],
[
0.09963054632172239,
0,
1,
1
],
[
0.5165427279397867,
0,
1,
1
],
[
1,
0,
0.30220609080903194,
1
],
[
0.12389518271871214,
1,
0,
1
],
[
0,
1,
0.20036897885323546,
1
],
[
0.015440535661123769,
0.03161892867775246,
1,
1
],
[
0,
0.5720613018407144,
1,
1
],
[
1,
0,
0.7654418481624362,
1
],
[
0,
1,
0.9183798792778164,
1
],
[
0,
0.7805173926497455,
1,
1
],
[
0,
0.8963263319880966,
1,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
0,
0.6183848775760541,
1,
1
],
[
0.7018370308811488,
0,
1,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
0,
0.27095805956100094,
1,
1
],
[
0.2628659099247336,
1,
0,
1
],
[
0,
1,
0.3625004724974957,
1
],
[
1,
0,
0.16323536360301072,
1
],
[
0,
1,
0.547793608090936,
1
],
[
1,
0,
0.41801503014738306,
1
],
[
1,
0,
0.16323536360301072,
1
],
[
0.6797780915427977,
1,
0,
1
],
[
0,
1,
0.15404569495487538,
1
],
[
0,
1,
0.5246319661417559,
1
],
[
0,
0.36360521103168175,
1,
1
],
[
1,
0,
0.1400735757353404,
1
],
[
0,
1,
0.5709552500401159,
1
],
[
0,
1,
0.3625004724974957,
1
],
[
0.053306970586381903,
0,
1,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
1,
0,
0.23272072720602122,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
0,
0.7805173926497455,
1,
1
],
[
1,
0.3011032422797128,
0,
1
],
[
0.14595412205706287,
0,
1,
1
],
[
0.015808151837563643,
1,
0.030883696324872714,
1
],
[
0.14595412205706287,
0,
1,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
0.632351667278138,
0,
1,
1
],
[
1,
0.9264715147068088,
0,
1
],
[
0.424998424998425,
1,
0,
1
],
[
0.9566166974255214,
0,
1,
1
],
[
0.6102927279397868,
1,
0,
1
],
[
1,
0.18529430294136176,
0,
1
],
[
0.9882349698526169,
0.9610300602947661,
0,
1
],
[
0,
0.9658116955911072,
1,
1
],
[
0,
1,
0.5709552500401159,
1
],
[
0.015440535661123769,
0.03161892867775246,
1,
1
],
[
0,
1,
0.7330867436843761,
1
],
[
1,
0.6253682724270958,
0,
1
],
[
0.023161131617013827,
0.016177736765972346,
1,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
1,
0.16213251507369153,
0,
1
],
[
0.9882349698526169,
0.9610300602947661,
0,
1
],
[
1,
0.2547796665443724,
0,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
0,
1,
0.2698539047007752,
1
],
[
0.7724252430134786,
1,
0,
1
],
[
1,
0,
0.5338239694857341,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
1,
0,
0.9044125753684575,
1
],
[
1,
0,
0.5569857573534043,
1
],
[
0.7481606066164892,
0,
1,
1
],
[
0,
1,
0.3625004724974957,
1
],
[
0.16911590992473247,
0,
1,
1
],
[
0.2154394856600736,
0,
1,
1
],
[
1,
0,
0.6264711209564149,
1
],
[
1,
0.764338999633117,
0,
1
],
[
1,
0,
0.4875003937503936,
1
],
[
0.8639695459548403,
0,
1,
1
],
[
0,
1,
0.08456076910733497,
1
],
[
0,
1,
0.1772073369040554,
1
],
[
0,
1,
0.4088237563958557,
1
],
[
0.10073339485104227,
1,
0,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
1,
0.16213251507369153,
0,
1
],
[
0.9878673536761773,
0,
0.9617652926476454,
1
],
[
0,
0.43309057463469247,
1,
1
],
[
0,
0.5720613018407144,
1,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0,
1,
0.4088237563958557,
1
],
[
0,
1,
0.7099251017351961,
1
],
[
0,
0.34044342316401155,
1,
1
],
[
0.0235287477934537,
1,
0.015442504413092598,
1
],
[
0.7944841823518297,
0,
1,
1
],
[
0.9882349698526169,
0.9610300602947661,
0,
1
],
[
1,
0,
0.5801475452210745,
1
],
[
0,
0.6183848775760541,
1,
1
],
[
0.9882349698526169,
0.9610300602947661,
0,
1
],
[
0,
1,
0.617278533938476,
1
],
[
1,
0.764338999633117,
0,
1
],
[
1,
0,
0.7654418481624362,
1
],
[
0.6555134551458082,
0,
1,
1
],
[
1,
0.4632357573534044,
0,
1
],
[
0,
0.5025759382377031,
1,
1
],
[
1,
0.1158089393383511,
0,
1
],
[
0,
0.6183848775760541,
1,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0.053306970586381903,
0,
1,
1
],
[
0,
0.6878702411790647,
1,
1
],
[
0.00771993970523371,
0.04706012058953258,
1,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0.8882341823518295,
1,
0,
1
],
[
0,
0.24779627169333063,
1,
1
],
[
1,
0.6253682724270958,
0,
1
],
[
1,
0.5558829088240852,
0,
1
],
[
0,
0.29411984742867114,
1,
1
],
[
1,
0.6022064845594256,
0,
1
],
[
0,
1,
0.8025716695319163,
1
],
[
0,
0.4794141503700329,
1,
1
],
[
0.8650723944841594,
1,
0,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
0.33124842499842483,
0,
1,
1
],
[
1,
0,
0.5569857573534043,
1
],
[
0.7955870308811486,
1,
0,
1
],
[
0,
1,
0.7330867436843761,
1
],
[
0.424998424998425,
1,
0,
1
],
[
1,
0.20845609080903196,
0,
1
],
[
0.33124842499842483,
0,
1,
1
],
[
0,
0.27095805956100094,
1,
1
],
[
0,
0.9194881198557668,
1,
1
],
[
1,
0,
0.37169145441204254,
1
],
[
1,
0,
0.6959564845594255,
1
],
[
0.9577195459548403,
1,
0,
1
],
[
0,
1,
0.9415415212269964,
1
],
[
0.26176306139541405,
0,
1,
1
],
[
0,
1,
0.6404401758876557,
1
],
[
0,
0.9889734834587774,
1,
1
],
[
1,
0,
0.1400735757353404,
1
],
[
1,
0.3011032422797128,
0,
1
],
[
0.4481602128660953,
1,
0,
1
],
[
0,
1,
0.617278533938476,
1
],
[
1,
0,
0.348529666544373,
1
],
[
0,
0.36360521103168175,
1,
1
],
[
0,
1,
0.7562483856335561,
1
],
[
0.93455775808717,
1,
0,
1
],
[
0.7724252430134786,
1,
0,
1
],
[
0.6566163036751272,
1,
0,
1
],
[
0.015440535661123769,
0.03161892867775246,
1,
1
],
[
0,
0.15514912022264993,
1,
1
],
[
0,
1,
0.29301554664995555,
1
],
[
0.9955879496320674,
0,
0.9463241007358653,
1
],
[
1,
0,
0.27904430294136173,
1
],
[
0.5408073643367761,
1,
0,
1
],
[
0.03124934374934376,
1,
0.0000013125013124790507,
1
],
[
1,
0,
0.6727946966917553,
1
],
[
1,
0,
0.30220609080903194,
1
],
[
1,
0.1158089393383511,
0,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
0,
1,
0.825733311481096,
1
],
[
1,
0.8106625753684576,
0,
1
],
[
0,
1,
0.6404401758876557,
1
],
[
1,
0,
0.39485324227971275,
1
],
[
0.9955879496320674,
0,
0.9463241007358653,
1
],
[
0,
0.6647084533113945,
1,
1
],
[
0.023161131617013827,
0.016177736765972346,
1,
1
],
[
0.23970412205706326,
1,
0,
1
],
[
0.2849248492630843,
0,
1,
1
],
[
0,
1,
0.6867634597860162,
1
],
[
1,
0.06948536360301065,
0,
1
],
[
1,
0.4169121816180639,
0,
1
]
],
"size": 5
},
"mode": "markers",
"name": "Neural activations",
"scene": "scene2",
"type": "scatter3d",
"x": [
149.26602750601026,
185.84464887680377,
79.12745966778074,
135.76150259485215,
136.48661453446562,
109.40955176999432,
196.3482594341623,
19.79565368021158,
2.607552480079559,
112.93046858212682,
3.372195663792911,
4.187384983644186,
149.5516828148073,
4.8486875229705735,
199.93177441079064,
7.18964615419519,
5.885544816417404,
127.6535615108891,
32.51848265272778,
219.9866952340959,
211.54884898303655,
14.7078581718798,
141.949678811149,
196.1343372427743,
128.38619082315714,
194.5904013540176,
143.096655945665,
181.61848026116078,
211.55244429182446,
33.162833782180556,
6.685908012959174,
92.66112486383025,
196.39257906042286,
182.8015321723333,
205.08114478240293,
15.930359768998883,
20.819850064249596,
193.56928755120035,
175.89532983013888,
7.432514840446722,
10.766532214339133,
74.8196582402141,
201.19412617837187,
18.902450320764405,
208.19133139481286,
9.901255954890232,
2.440653115357346,
181.8098867298368,
2.7278867828485334,
90.49819991789377,
202.11155375771565,
175.6708706334954,
215.02505662958887,
1.2846030147497456,
12.447047321948537,
105.79279430657688,
107.94317231165034,
3.2007907622177267,
184.4164586912958,
75.57699050779286,
155.08922127655316,
3.6076784123927075,
14.32751265629463,
33.495467784928344,
218.57754522092935,
69.96770631177874,
8.933281412515983,
77.10967570729888,
209.7666391540826,
15.24122665929019,
48.163538052708894,
181.04422705568422,
5.450515358903773,
159.733229231025,
192.65403430752238,
181.70129779495264,
9.015481491060772,
8.412498502247336,
6.633779495897818,
161.2632449759568,
6.023763018936434,
39.355870880616855,
102.10953421898513,
17.58561698789071,
169.75499041912934,
151.15008147375954,
175.21979867258023,
23.845554892758244,
2.0511656888753564,
185.9198429815523,
186.85316054236822,
203.54534506194096,
3.0677464305674373,
178.0693587024819,
59.59805602870504,
177.77259348824796,
215.4701526782155,
221.46516783609792,
2.3096336082426165,
198.74598486369155,
182.03683691106275,
188.04205022386645,
3.78617976308267,
210.7365321763848,
193.68491119029048,
11.444997980131628,
202.36174980804174,
203.15977376252906,
22.470950761416294,
196.96365518557903,
63.081812049043485,
138.55455721363666,
3.613297437323754,
45.25894082836989,
184.87223643772472,
7.383927066100999,
55.97709679000492,
197.57269417850128,
1.9211623114200675,
0.018368178753478404,
49.30439532206956,
89.49763786020583,
34.50413901072417,
186.7695332705903,
2.3445769780553904,
2.9281827241889573,
104.73972274462149,
196.78545797339967,
170.05955218378014,
113.36311596956804,
191.4408067073664,
134.86363892527748,
5.595391059049765,
20.949615505269634,
34.6458457228652,
206.197665869955,
16.886131870971546,
171.399968580451,
-0.11029131260431857,
176.91312188982442,
44.89149392166748,
2.7302928802879762,
13.557225806937637,
178.76619383480408,
101.64488905950088,
1.8908154298488435,
95.81915679344631,
167.53799276545143,
5.036053394721184,
168.17521624830684,
198.68460915797942,
5.533225637740393,
185.54934474072957,
200.87930318060074,
171.51596150586607,
1.5885287382853095,
180.64625619686285,
208.377732082065,
137.20247584688738,
61.02123085224819,
211.97092291989577,
0.7213500644294708,
151.2199058061987,
153.456581977669,
29.448359004849305,
163.6002200399179,
11.680844005302498,
41.20115483720852,
211.66897597804117,
73.1188975457441,
214.47795898259267,
5.139443687171445,
190.11037012839682,
199.12814529451003,
180.13486675426668,
196.2833957353394,
4.413410465415253,
212.5721619104802,
7.55265639949628,
6.800275657710846,
178.84977536479548,
197.26958439901807,
136.28677169022657,
199.93481571095967,
4.417814114195465,
2.1287147173336085,
8.17354188726492,
196.4030017525697,
172.63482970091604,
108.4795851814269,
193.89568167360167,
10.219920211393575,
4.8982808056318765,
160.14701048147424,
20.0533041494106,
43.07310258356495,
3.537729883027911,
110.2125474000814,
186.8415993857547,
203.43481546492333,
105.64085571599207,
174.54750913426432,
0.9127256246452671,
8.959546418737165,
157.0003829419889,
1.5729048763609188,
162.69287459645503,
189.35881553511425,
9.178628969323338,
1.550419228577636,
201.1440187980331,
28.272568917077237,
195.08829753929308,
119.27903531335666,
221.93375414116312,
11.815955699898703,
6.4905192005456644,
184.76237959077514,
102.9542085946806,
1.62711856889611,
179.80130226043076,
14.383280974216797,
192.4063183239551,
78.97077786721549,
39.89280197794311,
189.08461773717383,
193.17840172601666,
4.043692358016708,
86.30696524139333,
160.81163036578405,
8.277327100901752,
101.30692431036121,
162.88575407510973,
10.12169207518539,
183.10546611303099,
166.8872183862205,
182.1040389874548,
11.085914776755516,
1.349435656821316,
181.53863973458735,
195.1681493528694,
4.560965750967318,
5.958352644932741,
125.77956585495997,
159.43938560368235,
13.656450618412498,
212.4037880678738,
178.5787045388307,
85.19149934277054,
2.963617157268149,
182.91431129936313,
55.66021523436721,
167.3224721691895,
183.6490874411969,
127.13653804802324,
129.28135833909806,
134.50999698549063,
210.46250106679196,
1.6680320726822688,
2.293853490870218,
194.52049107810274,
184.13970579543533,
3.9171593030203513,
189.10379008253253,
92.5962618013969,
4.430412967301962,
140.85893519444156,
56.405449400456135,
9.958159309171647,
181.94320445535107,
3.1013173218032044,
17.029608101439724,
28.022662434094904,
174.1884648943682,
14.857711411218197,
138.33169983058718,
60.6465290453011,
137.80744755890836,
5.820237508272853,
9.894764410912291,
31.92355509494725,
186.42760482845387,
6.72146603215589,
120.99503419224021,
170.79176733767747,
193.63358356327072,
170.67108218920617,
184.76722068111926,
37.22953506345516,
142.94336004965737,
3.913894060606151,
7.271363509386403,
0.8979584693729308,
209.05769462741173,
23.996840127888547,
93.61029160376927,
124.88413268307957,
19.546555426220152,
146.47021215342176,
9.11459610198074,
197.8542652830423,
168.24850718426734,
158.36319218134335,
219.17203386328995,
2.4095063804686054,
208.43077933066226,
136.14251961369663,
190.53658128834024,
8.237439773025002,
90.94117702120829,
9.149087056187476,
17.954005381199575,
46.30904430891495,
208.49914496747698,
158.98979153449804,
183.48768241051604,
36.922599196003894,
1.212845909077549,
181.09053487186432,
101.39838421226479,
155.73095886208736,
50.06124299399863,
195.41811416209902,
205.31413485065414,
188.60044051781435,
89.9300637870389,
173.7554926170492,
3.37383246042025,
12.462735638199057,
7.255635261916961,
103.89451071811057,
128.14613238377032,
5.741001391187909,
85.6362856164695,
193.5138940517592,
92.77712503527326,
191.69131196368704,
202.70027231350278,
2.125152805067665,
6.794767427018108,
197.87631291690568,
58.33782741534295,
99.31669863265725,
5.900906398231343,
178.254740910498,
32.37451336848309,
2.1999610512545695,
180.698981828083,
56.53024044813811,
61.3563728747077,
168.47024095024545,
30.222813178444515,
184.4312573962596,
5.194610536277497,
17.796541282702506,
3.7827437849891283,
195.9129676381192,
47.811947342619376,
56.19930424092806,
6.337919206114586,
24.85896055550254,
219.40861028016639,
196.83083073525853,
41.11569803890951,
186.9142617327936,
2.000466724301851,
4.371172160944623,
1.9301686055572584,
25.31874564642634,
6.653993477529996,
4.516584699558696,
204.7290278922048,
102.14711761765676,
220.13275269959752,
5.007867397797033,
46.435610706955366,
185.047054396196,
203.20447821341875,
201.11266785786452,
196.0071552652465,
190.7382759038676,
202.51707214387085,
3.1753399595885687,
1.5816129540362507,
195.7839213030503,
204.01525887028708,
130.73082971422608,
189.68820174142368,
3.438148096883825,
26.37641234985555,
173.87768932190914,
143.38890228059907,
2.6270905819951995,
162.4484323228406,
213.52220495683864,
174.83354770151408,
13.371609724900667,
170.4482252849479,
168.1057891489252,
186.11378433472345,
90.99745412610392,
213.72171667908887,
11.130172847532494,
6.579415204829947,
18.865402369707297,
6.066423045558094,
3.0831759059518795,
167.88496871841866,
196.91447829246684,
81.02267192424496,
167.50985644271452,
0.9846053967714923,
6.261843214345788,
74.09434324176492,
182.3305519116793,
5.255791623257455,
173.14820745802507,
0.8772953168316451,
155.93833185225776,
23.92199695295009,
31.01770552116359,
202.27687016948533,
-2.3675499914677554,
191.03149659119748,
127.06058343195525,
1.0458989645102288,
186.0840261527756,
181.46005129342802,
205.20207868398543,
8.443511125530591,
5.385279175214409,
196.08642196588903,
202.3949044600819,
55.696168062755376,
11.662707718522672,
151.2883484922714,
6.78643176812416,
33.827808834993235,
11.263355496179312,
13.848828371006004,
51.99916381992963,
4.063610308878595,
183.9254116793584,
105.885291513335,
28.18170534358802,
4.056025391022046,
35.5064165541718,
234.5915650749448,
113.63264588160035,
12.23225463496451,
7.288809957134323,
23.921211932536362,
3.833338393485368,
17.67977727068424,
42.83302216539086,
6.916689689830235,
6.965060244310727,
6.790635396700349,
3.5225346591868987,
184.44474861399107,
179.40015931877107,
5.583687342111965,
14.329406496786394,
2.790355180383435,
8.386639436825307,
16.020478576105134,
220.9033605356721,
10.357169071681549,
50.099548471388616,
3.448691872716884,
168.89137676957967,
14.395469539505157,
10.467886423534129,
85.64972133343193,
167.18086226118277,
125.22221718328211,
55.20996296234491,
9.44932539154518,
12.08831999924798,
182.08953297870664,
14.485503427865847,
27.670803525613774,
188.81193097724895,
5.317566672494075,
20.38319823199856,
8.455716248685665,
2.4880802116252925,
8.488790950078517,
138.55282015079018,
198.22047051484068,
202.81764999163,
159.34361642921706,
178.5884297703598,
1.443144981202341,
119.51075815654858,
56.5734933342426,
21.635173972098706,
5.149477691386812,
16.889209082007476,
4.689229439647859,
88.42031943796,
219.6582490203187,
148.72186344247743,
6.215215473526345,
23.87165112460521,
188.22978490688584,
167.88389750858036,
5.729024897450186,
219.67006537932696,
195.5480444887443,
183.5011413176376,
18.181720132164713,
97.47843058180946,
4.798071946693689,
219.85306824771692,
5.728011751275295,
201.18357410499345,
-0.6172813776291428,
174.21356773806264,
1.2631258541806227,
177.84160646813288,
166.66178518845433,
204.95452027513244,
212.0339115664234,
193.41700401639042,
2.409725597729092,
38.376348063718495,
197.6008290855025,
203.99420948090253,
208.91464376563235,
8.786358512497216,
123.41379472031409,
28.204159154235608,
203.05510802110146,
131.00698326771922,
12.657505530064444,
168.27486974643756,
204.89353256200792,
5.890332178472138,
168.07072813366577,
8.886776556737455,
211.29111790667156,
29.221563721756294,
120.44913452854459,
4.594426033268521,
32.13330943663114,
91.47995648175859,
109.67950690142494,
53.631579517083885,
202.12398750828902,
26.63389711379022,
28.84546065023024,
133.48644462054068,
3.751316131259794,
191.17077472990127,
175.0347248878968,
57.395289249075724,
16.079619642136375,
175.33844436270903,
108.51576104636122,
116.75897987018466,
164.05578462270876,
39.455396783979495,
175.04114901058668,
179.7323485027216,
196.67890763910344,
99.01884125167564,
198.0323391315955,
185.30795019445804,
179.00380500780906,
174.0604732163417,
179.260635355384,
35.42332711078818,
2.592828275381601,
154.51720817832083,
7.860391380242346,
5.541941542951279,
177.4729956414455,
2.707293402545916,
31.40279532073096,
41.969550629405454,
178.2164375335323,
169.72988414851636,
163.58866909915082,
101.84973184286204,
195.3600292234381,
64.91898206707413,
4.501206337324615,
10.44074622440855,
47.39705070316082,
5.279682113210935,
2.103853763942814,
165.6711576154279,
4.268435229889616,
202.4956463076847,
114.40452814810855,
2.4332850233643146,
147.26706655889703,
175.0418780393682,
5.48180102260781,
15.739797603614356,
180.88415791761904,
206.59585883229664,
6.527275609009688,
76.6770964355228,
23.78914900522848,
225.61189394557266,
201.92460403331992,
120.46724970168424,
131.58528865724074,
185.69424099999162,
7.700983238930926,
11.058291024936265,
20.530936499676585,
15.014232125988904,
3.0618408085747153,
145.10547203529293,
155.38866155668126,
93.99685759435849,
147.89285115594225,
184.74590056751563,
8.98583295582763,
51.43592693183695,
157.49106576535627,
8.956946505059065,
20.119213722762584,
204.39576512744097,
181.24416817681774,
46.698481047977914,
5.596263299765285,
5.916986707727986,
6.643248733702617,
35.25345029610879,
127.42840161841876,
0.8366242006266549,
174.72195959247176,
4.55397883764836,
187.3259425942974,
100.4486138911193,
194.47430373662056,
61.48775611464002,
169.32060031524907,
4.196555480191353,
20.18606428377393,
5.118315072467724,
7.553848319848561,
197.06475269405186,
4.9358161930177165,
196.19668020834249,
12.044086501242075,
115.42659386289282,
11.430761055059394,
3.291925715841166,
200.852203613193,
101.1804283260791,
51.32230768721453,
29.313759095878634,
182.46428069124013,
184.61335216497977,
136.08027629132843,
152.67634474969609,
188.0733095346174,
207.52762444149585,
216.1151714898762,
111.63804509364734,
73.91833367081989,
3.89970558388906,
206.47492586627476,
4.272790782688979,
2.343159979741333,
23.896055008127142,
8.41580557607824,
152.87873943238677,
186.4746618863343,
163.83853861211017,
205.66014654044585,
2.9354214927872055,
190.30490756757334,
61.6823725496364,
8.456487367419578,
3.4150117560525652,
202.85147998322,
14.553084176916613,
118.13162400610449,
180.10342765371,
192.36350445483333,
213.52992236901304,
3.20463134400148,
9.106270784491674,
10.467352121199365,
7.862179184456976,
218.0677939952454,
84.05840391082536,
88.87836854172382,
210.40548267913138,
1.730883729379884,
207.31924987685628,
16.867778145096544,
197.6422268833397,
94.50266019810661,
74.2744948353057,
4.719030108459096,
180.4064401496688,
9.811072265144297,
194.64904458144164,
3.2262413313503973,
3.892212468339332,
100.04886905642658,
8.177115360492555,
188.79065681292724,
102.94124885169254,
114.7343443251536,
3.5753871662624,
167.77818023021587,
67.565025317074,
5.986312046003901,
178.07413926016253,
121.23700707051043,
152.83477446230074,
186.63521121159985,
178.74495633837606,
135.09079302807564,
166.47906914922706,
172.92369882463356,
4.689371434749479,
171.33703180090737,
11.796487704301159,
9.03659403217159,
3.4809160607768703,
170.83173298472195,
115.17677262474973,
191.0964645052387,
145.1071460961537,
197.97317023923287,
3.2888145851494595,
188.14850201202637,
147.7467039518219,
120.41237747147781,
3.906689321740908,
178.15935901200672,
213.99364706541135,
10.272869760054093,
180.92294924183724,
122.36605974221968,
178.81088805091758,
170.8078359649982,
134.5124865364805,
86.80846877648233,
204.65384153140556,
2.128102526979971,
206.42496811340467,
81.33630882161604,
67.29657199496052,
173.6743208456887,
18.038151305635846,
103.93492081706678,
53.85953019511236,
7.753220147279752,
5.222610127771614,
21.22073036978874,
96.27005602452088,
188.36855003721888,
193.5896893025133,
168.16636468338578,
198.85250541788702,
3.7419858177331253,
7.431664520176805,
1.5792894246324714,
114.17639719842109,
153.03280047231632,
4.294268175142375,
7.693096175063195,
157.06667606925905,
208.74127447416933,
22.746086980381204,
184.88495779739822,
189.90286246182058,
204.92601959207312,
24.206678990001855,
135.023251361679,
200.94381214343383,
3.81392354701007,
176.8919967692184,
54.964572389202935,
230.36085084449087,
185.12966500251844,
174.93983174032695,
191.53581167407202,
115.76904170002099,
58.21880811746398,
9.10389376874046,
164.37941023680006,
175.55638187364568,
190.56311692175575,
12.366300424053135,
194.57005003779062,
20.53698576138754,
207.24142025574366,
195.39042768955406,
9.897848379493993,
206.09665173798464,
214.45715881491128,
64.8786326640328,
11.27173290085196,
27.604455033520548,
163.5108337886106,
39.842064475333025,
178.1157948384711,
211.71487902975548,
4.174336274841346,
132.82433174629242,
210.7735647548203,
118.87226851299447,
167.32596134242428,
172.97927376449417,
188.29018888751048,
200.22497069207668,
218.3672257593209,
17.472375429039754,
3.8076453591354507,
40.028380566526266,
52.19118316276038,
1.5779240704589976,
207.1740634692569,
192.16580167635558,
18.647352652413513,
14.433806763956962,
41.06612183256511,
49.25257727546947,
203.9774771285969,
38.62002648189277,
94.94303203754914,
102.59617230598307,
1.9216691305430231,
166.750860991749,
105.62363980963988,
93.0499131687174,
4.126806100672004,
199.4854871988515,
184.19521907691416,
15.78057620838355,
62.10560830589977,
117.17967032659331,
186.09233695539962,
193.84531021803497,
64.27160776870161,
213.94693487215366,
188.7002330668917,
174.7549035995214,
127.6123384292398,
209.46953328294785,
183.13319638304773,
177.40187511157518,
171.1764085741152,
40.380833802468494,
156.82098672360928,
7.908242848360647,
200.00094493369295,
17.455134867593237,
12.251827869596639,
15.218136757120583,
133.46403793347753,
175.70643875642753,
226.22704391224084,
11.005990087823603,
173.00276145026447,
135.11510062355487,
207.03107384886084,
15.968188913864678,
9.3144555727239,
196.91348014443824,
187.98492139056825,
2.0972643010083787,
193.30776844622412,
92.54788232322439,
207.96150423377745,
17.131836940441016,
158.1700064924479,
4.028426499459941,
26.1265370079012,
116.3578230819718,
9.686724529784598,
7.545504023746023,
2.788296532417938,
211.71581967135822,
196.29784281041626,
179.88752078623608,
190.28210117514502,
1.5133579615081012,
193.12532685609938,
200.31390042400315,
7.419756631757355,
3.9368377028042687,
8.304390412414522,
222.53934322630124,
138.58082096607802,
5.045891776933688,
32.32662516271376,
6.499610182859518,
92.87171371695862,
33.26154422919394,
142.93199863742154,
168.33732733115326,
188.9677900693058,
190.71618154227195,
36.247542535825964,
3.8775678752372507,
21.76560062824215,
132.4012326770816,
98.27169714763787,
145.29598863587216,
146.65476379127549,
60.94871954097356,
204.70118592681456,
7.501174271647452,
110.40528397053804,
174.0285718614598,
197.9062389425576,
198.42053459297077,
170.90905443934736,
214.655339537023,
203.31194444439956,
70.31143642587823,
148.99245070203733,
4.19148935017068,
29.31144873875077,
185.35249280850536,
3.6770466496601673,
176.44997588638165,
3.8640571155556183,
42.29600204996425,
171.68981231038237,
6.030324351117625,
186.3562356688123,
6.485436058801509,
183.88324331167107,
175.3781141777057,
206.57278043618862,
189.3919197413618,
192.71932706804034,
180.7078464485114,
8.274755764810884,
163.57465492331886,
5.61012899423481,
-1.1169755942532178,
179.11062265447754,
4.463723546908888,
175.41216365212838,
209.39479988991732,
7.408503721382555,
17.724642735831203,
193.15489653423276,
38.19050110813514,
4.230682802146978,
179.94234213597198,
15.546530169067806,
4.776231601621732,
192.7399145988589,
208.00926507368268,
187.7721133355929,
15.30556372965907,
56.196201433642365,
3.611103923309897,
185.4736531444558,
188.79022821558263,
194.33736259632923,
193.03108659325017,
3.025250969995901,
3.1240205370861416,
18.817169889363388,
178.40916936850448,
21.313983406527335,
196.03231988216845,
203.35435566035326,
7.149024189928834,
9.398075800805415,
7.7842538080321475,
165.07082190368652,
181.5813822807214,
147.8510852535285,
97.01684037881931,
18.124927985691503,
19.058771342525198,
82.6896353965749,
60.884168693482565,
10.578024333170317,
9.024173846058872,
8.339680465069403,
199.7480219315266,
5.093416859236614,
194.72764517333755,
17.26612413401021,
86.86539034259948,
187.59698273606892,
218.0988221119296,
51.76040920388226,
172.91994911543867,
180.0119021213461,
1.4604156605710443,
-0.6865089401100444
],
"y": [
104.11695621173305,
87.53787133616223,
138.48677417016034,
119.84948985190063,
107.79153510083519,
97.78369392652326,
95.9270605140376,
97.83180955031153,
84.68524430371808,
85.63359968184824,
114.24307065715837,
87.08718164306875,
108.05303758902102,
91.71390494758444,
84.3620292801801,
90.58771984277142,
102.32225460558297,
91.06381328098581,
81.32158738768217,
82.92676456971108,
113.96155819587335,
109.04961354591067,
96.006020591618,
107.9551447994001,
115.63773712821174,
104.25384523502824,
123.18644653013205,
88.58520529638146,
116.27263524905926,
100.29783618044152,
95.75951120479719,
80.47601018316965,
109.67202307181,
102.38872686733039,
118.58918552800567,
109.17262821140233,
97.11905970353784,
100.52080486245308,
106.42083087330029,
101.17470974083079,
107.36123185391175,
106.83986335874181,
106.30818190021917,
93.95702865153832,
98.34932240806334,
97.38566801358668,
111.66540880969309,
104.91188447475925,
111.15059306458339,
80.21387889249351,
105.71425016811372,
108.90230521516642,
118.87294241673891,
94.65706364638251,
97.94664911662971,
111.1896506715211,
95.56902715838535,
93.37080764867245,
109.31581817720014,
101.81180500039365,
111.55243862964949,
105.40725874678246,
120.26981873895704,
96.3928791815416,
94.37671880718764,
119.94371725873128,
107.57739278649392,
101.14665075921874,
121.39443135045423,
112.64851602626064,
98.85866728071235,
108.47388283285673,
101.17536005402745,
105.6288851621358,
79.27977789032522,
110.84928133211953,
87.90537123273532,
108.77562838668557,
102.83839084477496,
112.8314842043429,
97.32362578484818,
86.13793076814939,
124.67357620636852,
92.59202638753588,
108.74928611139521,
123.62206835807349,
112.07378685547249,
109.50475933266526,
107.0816899241317,
116.14139799123717,
85.60026772971523,
117.9287086116949,
91.69821877720757,
92.86693212546078,
81.00686846397423,
115.55244261952672,
104.45256676468331,
115.95280057908577,
96.36649978726706,
96.46814144727688,
122.88945138006943,
109.21012985653985,
77.93966258205741,
86.49997297845549,
97.3634336483784,
95.60349444367168,
83.69227512990362,
134.03707227491876,
82.97821897393379,
91.0510224841378,
107.69302639908484,
99.71621632303416,
103.71260376142143,
85.50694839770878,
102.9439943074828,
77.1126635770012,
76.14683518379442,
115.3656261090615,
96.77310395540681,
109.59292668759859,
93.50264083796333,
103.63923154315935,
90.8463798372504,
93.40612624287384,
112.94254971133759,
117.53140399560634,
112.11065011129398,
104.85069928114437,
116.21426343458818,
86.37493653572294,
89.48859133488037,
99.28804050985556,
99.24051949162838,
114.47206682873855,
91.16646186843431,
123.04991847978131,
126.40785523836028,
98.78004645403611,
108.9100467511358,
95.56089474336252,
119.71722999376756,
101.05623173456331,
96.87729925359332,
93.40428405218175,
88.3591717556937,
99.84027316512771,
111.21097054436085,
91.16580174829316,
89.65121904622319,
85.81218960069924,
82.34846769068673,
89.72288147103191,
88.67065027250595,
87.8237329539074,
79.47147663478542,
101.47195413672014,
115.99593031325108,
100.4600793190087,
106.31418279109351,
118.49532251467122,
95.0350616528181,
122.60305420097177,
103.85055045147324,
85.02257981328478,
99.14098265855704,
77.68610341155286,
88.73519367589492,
88.48344494060561,
97.40418650546049,
98.63080632519869,
97.43557631660603,
103.48264834621055,
114.09946307961305,
102.38007936154287,
111.23772595114387,
99.6180654610778,
103.72250872344712,
98.72543952367235,
96.48866148687627,
78.0243271169834,
98.16721931167962,
105.20855546008075,
98.15487419308319,
102.37364701067129,
105.72695966881875,
95.83535326268658,
97.15700997199404,
83.37424188632782,
116.57084998562058,
81.02516637222502,
91.38450924923933,
100.29569398711195,
95.536138688546,
102.48188796839403,
104.741685666074,
121.62322146194315,
81.49262348570653,
134.52907850253,
104.66038739184133,
106.15431249620246,
126.2868641673416,
86.46173638886106,
105.72204016778804,
116.2568738012422,
91.33199301241532,
105.9790732705942,
85.24111171766441,
105.52063963417105,
103.87741263450172,
103.81454280166352,
85.66216826332915,
106.34025084589878,
94.17239526072893,
85.4645831679144,
97.29285410132574,
120.93864184732638,
119.37292675658684,
107.83673385369232,
88.61343053306756,
101.78490001320189,
103.59908377438973,
102.46642614498464,
104.87106359145935,
103.59869447832686,
93.28883414501507,
92.18791013419232,
102.15423317600822,
78.10898191770511,
118.01300564429587,
96.85936336755567,
102.50194242290166,
84.62675918948409,
85.92145400842236,
77.69807174081969,
93.50588991542261,
96.06072235344776,
101.80384662791393,
97.43716685149523,
89.52641781051784,
112.53542975516491,
109.7677302444134,
86.40622004157844,
102.6565866210667,
97.4819280815206,
89.58546770861052,
85.3500167175281,
89.90783636863927,
60.62554615352848,
107.7333077455978,
95.19328080046118,
104.90156435275419,
100.82606451627854,
106.24539468314074,
93.99178969040581,
92.93955263827108,
97.6215325680235,
124.79671600865231,
89.2662247000017,
95.78516606705037,
113.91502470871472,
102.58271833833486,
113.59219519993032,
94.43196437538707,
90.4518117793985,
73.25322872747687,
87.21176760928047,
87.88116497475976,
118.72671220306344,
95.53210453355706,
108.60285819929403,
78.28397572418234,
95.51099343234017,
106.81702721069772,
106.17141544470222,
102.70781635856123,
89.04894725095278,
93.61917899399536,
120.97847088572493,
87.9901698406971,
102.43147184789242,
103.4984394383151,
97.22828182297114,
108.80166887336745,
87.77885521880137,
103.1147450721221,
87.49029042497203,
107.81349060278112,
93.07352831701877,
107.20406389059818,
106.48030505301882,
98.63517201174237,
117.7648850530542,
113.14783935651768,
100.36407934476914,
100.89233797102756,
87.45115730981946,
89.77961268609242,
102.74961237219955,
105.8451999780984,
105.80117114802101,
113.65887451771054,
108.47121908528241,
103.34767397949672,
110.72836243100528,
87.4527300231314,
107.39365080048951,
102.61483710225824,
94.65214807732623,
108.45069245601022,
126.78443371901218,
92.057322426237,
88.59098059208473,
96.95267804013683,
101.69082335148103,
110.91379749413703,
110.27434668399044,
112.76205266273713,
103.50409970417832,
100.1368159908417,
88.16070151082764,
115.45199485902671,
86.85608412481557,
97.25244079725162,
123.05687825529787,
115.89179765894326,
99.42066111584246,
101.76267222735574,
99.73508528528035,
98.52038917192093,
85.97591416023594,
83.67389908545823,
102.00488426727759,
90.026638893829,
86.30658983291382,
95.41588645780361,
77.90826220356462,
102.13324629365701,
92.93618780631819,
104.58765933402111,
111.531006631566,
119.34593269809051,
94.51213604507521,
106.03358337769015,
112.44896351150477,
92.2981476475906,
103.5767151802146,
87.04993052483181,
114.55920329717894,
92.29920822251553,
110.8865191788156,
95.15741764336741,
105.0859573476953,
97.75169178811976,
80.45988529184231,
126.5145083676416,
106.93107366412995,
98.80380922830265,
83.7952532254511,
104.89431966861919,
91.72072118242816,
124.13226232691093,
104.07329172292384,
105.47888071596796,
108.55634176140623,
116.05370838822898,
98.13638090907344,
95.38497287365463,
104.3312892609216,
117.67421872148913,
116.1809793746675,
106.07609464846472,
89.31523823248472,
121.7526455285261,
105.85697996849198,
90.93618489678563,
89.81963965637394,
119.3616380462199,
85.37575480743902,
91.90078917484159,
82.91508479375908,
81.10669199677994,
101.09293261436802,
82.26181953687782,
114.09496180499706,
101.58552744659625,
97.09264154895155,
120.54641882597086,
110.42639599538718,
93.12753218402823,
99.80400048950142,
112.56729445845596,
100.44034320210967,
119.66435648911252,
85.82833177461852,
108.94076587510266,
129.89118868250216,
94.99449493700794,
87.78170024348496,
90.6591479493246,
112.02745943704612,
87.84887540040542,
106.24062092706194,
99.74825725461812,
105.00662060674604,
91.62798707710739,
88.21765505789062,
95.66292782098863,
87.1033348004303,
113.29435115308668,
97.41006734344472,
89.87409154528042,
76.26921182052897,
74.37983636121658,
91.9001956617313,
108.68578271068323,
92.64003805817569,
107.49623990619075,
95.31121241682187,
101.31399480758611,
100.26680263582323,
83.08756954606794,
99.46792338569385,
117.00204556268622,
97.9654769639368,
100.3055786259431,
109.64937886329334,
77.88547672580762,
86.3098321993706,
89.86371186300539,
107.67875017961028,
96.87281896893538,
86.45444453113394,
91.70498422561758,
93.52423812687171,
97.71557878907467,
94.56589825323641,
106.54091469451706,
110.83746793463656,
97.31141853141554,
100.44668294269815,
110.21935961341383,
99.91495254217887,
107.1753729448302,
85.67359904368229,
85.88679831014628,
100.94174220539918,
83.6275710468262,
100.94157923383511,
102.90583624317114,
89.20938767533664,
112.63343867933841,
92.54050771607736,
103.0368137609267,
87.92796006628575,
88.89964764389423,
67.59858563881438,
97.45798714518206,
88.95215344943941,
102.51823349994865,
125.61838133634147,
102.36436500270985,
86.43211724059225,
78.73845937844152,
119.17939169489634,
83.55118407067215,
94.61322272079599,
92.1777290335001,
112.15238022034839,
95.94735676857448,
89.46560438890499,
119.06716632793643,
114.31976785927613,
109.3656857790481,
114.50609714790278,
114.22278748030082,
97.30257107582928,
108.6977745547133,
104.52674057843902,
122.20746297472013,
86.1437317920251,
116.54592277680472,
99.35803304084541,
92.54517541484208,
100.97619397872793,
84.30324245035031,
97.62932093741125,
93.3423242296777,
99.54439338269307,
74.94913558049728,
95.74082293729143,
116.83564006380213,
100.32056944398552,
110.84417308773047,
100.47109191739388,
88.53553317111268,
115.45891068364638,
95.64288109329581,
75.9795251867111,
95.28356973513759,
91.31655952559792,
88.01278637994209,
100.78982612588213,
103.51412140560498,
103.511667394845,
112.70468232602892,
114.95164104313119,
87.82517593677768,
103.41024304906621,
105.2169933583626,
106.48111230714458,
89.74237406189746,
84.10222314612362,
102.36837012090234,
101.39711749060814,
108.36975298903204,
90.24771999290057,
86.74521706725055,
110.74788843751092,
81.00263606004917,
93.63416800953209,
87.31771149852146,
122.88088845027664,
75.98086890146845,
106.12259856428196,
111.18708326535462,
109.3111457969592,
89.93028856888608,
119.72782605530291,
89.76224698230064,
91.88626956045853,
101.23214151815773,
82.33823329655145,
93.48071055471698,
84.78351081133519,
114.23937212071625,
93.04833638762787,
77.94364332074623,
116.33847967706262,
107.4715904554343,
103.58417274338635,
119.02761821758295,
92.82219999464375,
117.3902381445293,
97.22338399261449,
102.00267200727318,
89.36905076845238,
104.55544588340695,
117.09173929321224,
84.98984363801907,
93.67011391561218,
93.65615648731759,
95.89315561577747,
77.26115552672901,
112.79952381537474,
103.14322061343142,
102.70830994997073,
105.07018288594811,
98.9316916837031,
112.69468821087216,
94.98670729313204,
74.7021966878219,
94.18308028986849,
101.73523019968061,
107.73511186865596,
89.22751714687688,
84.27431921244616,
117.00193804669041,
97.03926810784108,
106.55113984527392,
96.00882289295434,
80.93486184577785,
103.40368269686074,
114.57129617971887,
103.40656564870366,
108.24972053263923,
125.68888454370605,
103.94539433489646,
100.13381515885642,
104.22578953413273,
88.75791048836253,
78.07128221410017,
96.83249316840129,
106.17575406483023,
94.71697669077375,
106.96242202035249,
105.85068466965812,
94.284606805117,
84.39781704609048,
96.62602057444813,
90.41988273238083,
116.73443135081422,
81.2800825941976,
96.60931281647161,
97.71258757721817,
110.04881152196734,
87.11204673269567,
90.07021697992641,
94.33775485450306,
87.56843869038882,
125.55080126124905,
102.07225283734044,
96.04711141124577,
92.7354317050898,
92.99288473911373,
92.10027975773566,
92.27734556294236,
107.35780375826067,
92.50997924604519,
93.35484345390746,
89.61953915856769,
94.74230505827616,
93.09147012107243,
95.07316001137475,
92.61163252048297,
118.83912471861612,
91.93875210295846,
120.0992117876603,
86.95320836052247,
91.47446749925038,
135.57471478808299,
95.43159866742471,
82.53565820046526,
92.05680427832459,
98.38892283582454,
94.4257792271172,
114.49682510224224,
100.20854788910398,
87.24349867465698,
113.9141300169733,
99.66373056715896,
98.41051210651061,
114.73312417600351,
99.41440007459951,
109.2348195328346,
86.45466592480648,
100.45332071068418,
93.04136284658676,
88.73972979332065,
109.6048427365446,
96.00102651309068,
103.32414521691989,
82.08713169948993,
99.47008560869519,
106.30865375256572,
87.35688999827975,
108.98167370549187,
109.08559625535979,
85.96740240312752,
106.30630654627758,
99.11439547023653,
106.5875354074122,
78.38824664741458,
87.36353133143867,
93.0468195185234,
92.09690838681925,
81.20702939616072,
112.38053485450921,
114.1416205033579,
77.026741361012,
101.54605632102921,
82.66737355864745,
95.4989017942782,
129.75629666483164,
100.13307210835802,
92.97379104296341,
76.54431770152065,
80.75308668868614,
115.51113825152771,
111.21087142145835,
97.20195537643754,
96.31030327044192,
105.55021023000104,
109.4139836016619,
84.93828037162096,
107.25947381577929,
107.17136503809802,
108.72491748660785,
112.28665015671866,
94.2163608739624,
123.87733221526014,
107.4636005863516,
123.0811109548008,
105.82267861733634,
97.66026898070182,
102.36749029819181,
100.72082411011223,
97.27647071707521,
109.0612662387309,
97.46242151701296,
87.19752397385479,
103.7210711218306,
96.0647330292828,
118.15898145884023,
123.5109962476784,
99.79945446527647,
96.29349678933279,
100.9311697139899,
91.25665604338928,
96.80760200078068,
94.44611651345834,
127.84320029800443,
103.90886799784425,
92.0647477350643,
94.79397872806341,
82.39759348773471,
97.32527821120428,
96.93715626609072,
99.54587000201816,
83.38034916903624,
83.94084157507197,
107.49740761450519,
81.41217539437197,
138.47207594906456,
110.81496298675768,
94.62395743144305,
101.92890957843282,
90.03173294984038,
107.21975132565873,
110.23750716883478,
85.78877465694309,
90.98260318982055,
93.99070160564462,
90.6359445818884,
95.996905147173,
99.27486224984875,
105.45556315286593,
84.09921748070536,
96.28750966095252,
87.58965524424673,
81.01567394990703,
97.86405406789727,
105.18592320416141,
102.61422822087079,
96.73617257764882,
85.40206471820498,
109.70242509478179,
103.23778437238943,
107.28546003513574,
110.22061851685865,
99.13282624224313,
105.64686212312412,
91.37335917314675,
105.51371939473518,
101.65501899777536,
101.97504598514082,
97.98499681835936,
107.44471692740656,
88.6578473519013,
110.24671167040569,
95.47390296978128,
118.295302700475,
95.90738964396193,
118.37672100423767,
110.25823524396436,
111.54414123321439,
115.1115351961085,
112.23236665917004,
99.41945235803749,
102.64600924841571,
112.12093695428,
106.42507455204682,
73.07190957877125,
91.17980733929113,
86.36788247462881,
92.24578073541963,
98.65813167433839,
100.89762644109656,
89.39227679145064,
127.2776598088191,
93.90598987217479,
104.42668004411874,
93.40456287753314,
101.4663784766005,
104.77186560561901,
105.32357300610528,
83.8239879327904,
104.1481938117674,
92.63886278768803,
109.38856221225018,
112.91084213190437,
91.056223244109,
82.43756165703024,
93.47304333193209,
106.10323645164121,
84.89409331240647,
108.996027501234,
96.43897565976546,
73.1833176797845,
82.46111066728335,
112.67931785405612,
100.50218313758265,
105.4074803899471,
109.06665822489826,
102.89541705686341,
104.87877722693887,
106.09937713783579,
90.78965420446977,
105.89164246260148,
103.02025548361978,
103.92645419552514,
81.8240806362856,
119.78451762341483,
93.96624843047394,
91.43678294257333,
80.99369782008961,
108.06947188292861,
112.67620528401078,
100.97750857523539,
118.37304113975999,
91.82662456917973,
96.41156836146362,
99.34814112232436,
107.6727549675879,
84.4970896974389,
118.14216014192576,
90.74815323469439,
94.41125577679168,
77.67867989316076,
93.31105429407587,
95.99520092240591,
108.49175342823746,
124.50228809534677,
81.99319522788151,
110.01689365605846,
103.08074320919543,
94.44614389462508,
90.07337581981673,
129.77260258205115,
120.18346455891107,
83.45235774746403,
94.09633696759661,
84.86994537176813,
131.8373679880366,
106.41807489990225,
99.39582958875413,
121.01991610680243,
110.32730793071573,
98.53222782818489,
105.74390170464339,
106.06553960246401,
93.36291672999151,
96.87576986786807,
100.04742823749868,
98.66111357229727,
123.21621684799042,
103.67458538170165,
93.70719049205636,
80.57032492855258,
96.96024769381832,
111.89975184916864,
89.74097201858027,
88.07388916884115,
95.36097301519837,
109.7200155230631,
87.44087127862227,
110.1003195518432,
101.62239219469876,
95.4546039744805,
108.78786739668826,
108.21812050154351,
102.13920955230185,
80.6147303782694,
89.78093212629709,
99.22742527559646,
91.58621818161474,
87.2082385062742,
87.2736990057766,
93.63130867213732,
95.30913513253228,
102.01605931740026,
86.19180131703487,
100.9736247745082,
98.6597676368019,
110.23948256121912,
84.22004485884602,
108.88626093544079,
90.83310680533347,
97.93402060871918,
76.06349939043969,
94.2235410474598,
102.45041518202854,
96.1515143377269,
97.03791019616047,
82.32237299855252,
92.29640826638385,
93.97032412895524,
99.6846550928153,
100.60011415344034,
99.09885734894354,
100.29806534119193,
104.84138962045166,
112.22623922167955,
96.31140243072197,
103.93023495068846,
98.36568879964675,
92.17468329463226,
95.22750880887048,
121.55818404495065,
82.33695950561832,
121.16588871367969,
110.55277614502637,
93.16972693630333,
101.53962980281467,
83.36416317081773,
96.35203045804325,
114.83899039092096,
75.34708915490029,
110.95029100263572,
108.86828438835991,
105.16936964293778,
84.9392548141768,
88.40258469740479,
117.80002074372295,
95.70989273722319,
103.98987956570598,
119.04676162233659,
82.364456622099,
91.66377738440234,
91.6406046661875,
72.96906628925873,
95.82773730085661,
110.8807778255801,
82.7867698957611,
116.39312552990424,
97.43886687699022,
95.3670000035584,
118.6343493520203,
91.29124380136028,
96.27439206760234,
109.62057243760795,
110.00073817862592,
117.27103015339365,
94.54977688729102,
98.04488355751592,
108.82954542250582,
112.97885077892579,
110.29617953096029,
106.11306389045131,
109.4346137722427,
85.5742137890282,
123.44838000826246,
91.16505127761869,
84.15674950631407,
102.86619388724574,
88.55647166605905,
112.25508361400063,
106.21629758978588,
102.73496363300718,
114.23730768819952,
103.58388901833419,
91.8202520203362,
111.85020892953446,
106.50903845005276,
66.95538597454515,
87.20142011117368,
80.42311831763188,
111.03507805514789,
104.5366505761698,
93.13975704053719,
102.3290134309045,
102.56124611032423,
116.3025823925866,
99.45926459816845,
94.84214027375187,
101.12967794654766,
90.29609407777014,
82.75530683897895,
111.93902403742666,
102.01074564771775,
87.36404652877124,
92.29064545821669,
107.75132268424177,
105.0105361453738,
85.29886549040916,
100.47744284958928,
87.98046972841117,
81.85584552302956,
93.9668572639192,
113.36234246982876,
97.28757652899426,
114.19487667419192,
113.53357284457522,
97.30039688689934,
96.52588512136712,
121.25901861588096,
103.31516340973118,
101.71705127636821,
114.29159341988496,
101.92083619664022,
93.84125642765206,
94.94985602764204,
103.19874826626163,
113.02954516228417,
85.43326620884932,
99.65173922542057,
73.86161076439637,
113.60150138873772,
94.5743302175547,
94.15000218930268,
110.29087240629654
],
"z": [
103.54568978239753,
61.09953145211381,
79.16395899146363,
91.97281125289827,
72.1096203878621,
70.82905073640796,
85.47830596890698,
122.58982313364353,
114.80620837735708,
103.71265143688737,
110.93300079317927,
124.26173989841054,
108.59603913370447,
119.02308524702347,
92.36571327279299,
106.43678296458629,
119.37713043769934,
109.51975256104645,
132.66162503028795,
88.5647436362494,
73.51349009313182,
81.39894163051711,
76.52804796947741,
83.65218673994858,
79.19910637027637,
55.537790432649125,
70.41035118339788,
79.87788969470918,
68.28974192512848,
123.64338989020607,
107.05349642842585,
111.4523756126021,
70.46368367036317,
79.47602397239321,
94.83309551523982,
129.282802546638,
130.25594022828088,
110.55236299010163,
96.5312290524964,
120.420529218112,
102.99995794168933,
85.57749726134509,
62.791632500780096,
112.24577739190536,
90.14009383573638,
128.22306507817132,
119.02118377507689,
107.45924984926586,
117.77948345120072,
136.64167199164342,
79.41983455667364,
89.54137250281569,
67.16070664635299,
129.84930710988925,
109.67425612641708,
62.246108297244504,
112.44054628869185,
130.84026070215052,
61.509432799265454,
140.99723007632514,
79.03474973501682,
122.58738686140921,
131.3382301281823,
121.36447327589737,
84.1081827744034,
71.22651280746871,
128.52001004704925,
117.36109576260449,
60.23036369792085,
145.92095721637708,
114.5940937096377,
49.23575868044715,
116.26437116610397,
71.06970079749347,
77.61499120791771,
80.49155252907089,
132.74311995918265,
111.14910406264735,
126.82878835104003,
64.12792267619564,
97.48537957037166,
134.4603284613461,
80.69450124999804,
137.13499061334505,
98.89517138747206,
74.48260196802326,
77.78701220045755,
96.0441012542476,
133.77895594172992,
81.21078169440511,
81.86036362465723,
83.33978231475142,
136.37710565759434,
110.06795682672728,
125.62245684325744,
71.77696714557166,
79.4488538296399,
61.94912032394655,
103.24015797509617,
77.71991316414808,
62.75827143415975,
83.50150195979974,
108.48514091815983,
64.02962844531062,
99.20158811735462,
121.44282648083271,
97.3580967473938,
69.50820715346913,
114.10307887045866,
124.26008731314275,
89.29102948667038,
101.49035159979131,
110.01821716067752,
132.07828797246017,
80.56956213634652,
147.18376907620623,
122.24890070934906,
62.29487071434629,
114.3882223679843,
127.55814441544956,
87.1380594868031,
80.93985661600145,
86.96766262076365,
82.61857152771694,
126.81481183466623,
123.4209170938486,
114.93880655310366,
71.83112305103967,
72.5387815940717,
115.87504098787859,
87.48098163587393,
79.62483124973325,
126.71144925919236,
102.54606468985607,
146.0022804389576,
72.30503965040884,
112.9978304542949,
57.3199873571336,
114.44083943639362,
88.6094315762903,
101.36244655312268,
127.05569541646466,
136.1380310331307,
89.34172700921911,
109.43514089248256,
122.73602981178897,
86.14307018585386,
92.58245592269286,
116.28713412080462,
101.33097642182811,
85.26168303826465,
128.4252528824024,
79.85924219002437,
69.97792302307764,
93.03705599259398,
121.16251450732175,
78.43128264276336,
106.16421919332092,
73.8043623839922,
95.90402919778704,
91.55746253216088,
136.0254699449335,
66.8711077630196,
111.84516679324969,
101.43708309539132,
102.43587878250482,
140.39167445578155,
120.71763157236325,
69.72469907246759,
105.48980595861848,
76.12575712152284,
103.90700531510464,
97.0811731581298,
76.23457527507048,
82.66474122272744,
78.98548432093565,
133.09257428355525,
70.39893554282006,
132.08318716204758,
132.94362300044563,
101.13068020331086,
88.82978834411666,
64.60065881211824,
69.37249206266185,
130.35837586844409,
117.35539783074641,
133.09473056011257,
98.81926049153923,
75.76103221618034,
107.15442050811926,
110.859550149461,
128.28424486480472,
128.47392096976418,
70.86037767954157,
103.50079370405996,
112.62682046555862,
124.03177347390806,
83.95432189481019,
65.67986092965398,
71.54196317794327,
85.83141804106518,
106.38179248996872,
132.66250288986043,
94.93555839535445,
121.47634735222188,
134.31454803484337,
111.03051037436366,
75.36365297036652,
108.3607962469491,
146.31485879170705,
85.12527236547803,
145.72726878110865,
73.01326006842349,
96.64337651537838,
83.99154519192385,
123.80731245357047,
121.1351435096191,
73.21116245761594,
104.06476664401602,
100.30601428245082,
74.98097948844632,
98.54004324690136,
84.03854962977888,
97.91235545063266,
128.5316018016486,
102.11275190071672,
110.165554567872,
130.40698690925794,
87.62025725506481,
127.06957204443871,
105.4206852807007,
108.08788034233038,
84.19824466504922,
125.9131591029681,
103.7799244044943,
109.16271070655371,
72.44279836750029,
110.69857875379702,
138.63618197637604,
55.25375505998462,
85.49271014056393,
139.07534451376497,
140.85695085472113,
113.38202067455082,
104.4026220285224,
122.41981975296211,
88.88979376508067,
109.45750757636256,
74.0598832758426,
101.61583454376506,
107.00604401129256,
73.6799943994328,
65.37307279918647,
77.53133332873546,
88.23750135568869,
91.45208005672029,
69.88667747049593,
79.40482938262465,
109.76924311213527,
103.15222915476514,
119.24068241103404,
73.28787231461293,
91.33725002027464,
72.30764618340056,
128.46033949814452,
116.39078342368211,
108.137450396474,
77.55797693414276,
134.2437660416352,
62.0627968207389,
139.53537149541054,
98.32609278311386,
104.48820846513556,
83.14384166324511,
108.84114680774785,
99.50228087878493,
118.88706706070968,
86.45557623288036,
105.23196388013213,
125.69378543826545,
130.96639930776257,
65.47115919107556,
106.44555950501598,
104.89479298631242,
115.66138801808638,
80.46049268679852,
53.43939227405886,
64.17369622751214,
108.56433150767094,
100.63573366109462,
131.52565274859134,
112.64091485396904,
120.44595185734082,
82.51160783616922,
97.82242270116932,
111.80262793006199,
139.97053252439156,
89.28931251602673,
108.65453735514464,
111.80636179858872,
72.0470406184931,
86.26004848202889,
112.14668986232475,
61.95824375735889,
133.87785406421312,
86.52364422809542,
86.89563866868681,
66.64071823248592,
141.14959075574373,
98.41260913459128,
128.125104658085,
138.5239027975338,
123.6724267791823,
68.81979918471185,
60.62808221523609,
65.58734683918276,
96.13264318561943,
131.26638356778932,
75.34075857286847,
80.87462614885546,
71.50405035948171,
139.81130493888116,
80.18916006216786,
61.567550986823825,
78.08803134019809,
82.58013587833122,
67.61461572744327,
111.69415343510009,
137.18941797527953,
120.02155847599124,
113.91872127492643,
88.0444318682335,
136.40464579923588,
97.20573364279359,
71.22347156374623,
135.73828650190703,
83.01156810297805,
77.5217276219174,
110.16926982210674,
117.17137208382866,
68.61678421895259,
135.58255011098873,
105.65284100532848,
112.94220755978507,
71.3047089928328,
111.67132439173253,
130.00138035933244,
82.73251657370741,
72.73104254742474,
98.76314136199306,
122.52707033917733,
75.1494181184873,
75.42264244969093,
136.46056041628128,
94.97544935420858,
137.02283613273713,
87.12904100636912,
123.1689463046172,
98.39208985219534,
126.04684516020156,
108.37894279872044,
72.47921363728105,
87.87178221380316,
88.63198814740922,
79.55525251796753,
117.4094005856891,
138.1495718343734,
132.0327470410407,
93.94517620796076,
124.04329182707403,
126.5621916845961,
87.36556497137973,
70.56907124043725,
67.80683584724514,
141.07414085296563,
98.08038355300694,
72.08453435786029,
85.55978971165446,
104.7611750261395,
64.04089649498908,
128.93952706206332,
80.73849961863054,
113.456974825765,
146.3363804619931,
64.00160958616587,
73.28468125902654,
88.15724660128657,
86.4607714850036,
139.49029223127232,
104.07538265697994,
64.6481609947125,
137.77119686271038,
106.69154947458917,
120.75661590482522,
68.37000608361899,
60.727378367779615,
105.67379262420965,
112.88270120266486,
93.42140339605248,
51.39914645699656,
122.71545246761212,
73.61918167670916,
139.6476542976273,
130.51913656243474,
95.21978489099395,
118.86429776873729,
112.63473278664596,
59.181090766130524,
72.2547599582221,
128.85199592975417,
84.4765110932791,
106.02310110369858,
148.53831636264363,
113.17223690192999,
111.16352257460998,
122.15878906916289,
80.41312333356015,
145.49374467300785,
91.79511411797057,
107.73470605918646,
118.38440969225206,
83.79585389199404,
131.98087982142425,
100.18672246017645,
96.53282587562965,
116.35989897992485,
76.64164234309172,
63.29825225513986,
81.36477889474335,
99.48281647860573,
135.21704743712647,
92.97537230340289,
93.7659284077383,
78.71328893367668,
132.60540284249868,
131.0557856873413,
89.9834299104951,
102.41297486753777,
98.46239229145372,
99.43754383128147,
101.24235128149415,
140.3004199544571,
88.99952544765695,
112.1749372808654,
140.18401962736988,
124.99157363480231,
138.41963186569103,
99.32424118198598,
72.75811969208172,
143.10469232812972,
118.1058904618545,
116.09182501031728,
120.37027783946426,
126.93846445959723,
119.75032883712511,
141.1190628862627,
140.8939897216939,
135.85045825719197,
132.25659420690218,
84.14178247426621,
63.720287577741864,
130.92747218691477,
122.66026555449207,
106.08619023395624,
128.60287181068279,
143.94273389592794,
96.6663524755664,
131.45699395822007,
106.57716207296575,
111.19377384555342,
116.76721376111765,
113.65541777674255,
130.06296131677374,
93.5068495582118,
79.10912363911338,
76.83413469838054,
82.62078923449572,
102.32308855430787,
115.8462889038206,
72.51214093824302,
113.19979161974135,
148.77986970273435,
78.49841819995895,
117.70226677817901,
133.04630484390364,
114.28448335509916,
119.68203557553062,
125.20464818507183,
104.34763522269014,
76.32483523881245,
85.47348748807276,
106.14980227469688,
65.180052171946,
122.67494467684043,
89.00876015919408,
84.73118761130566,
143.30829110612345,
107.6006363560731,
135.32126604018117,
129.72954455707415,
95.14104305071417,
103.65249053068163,
71.15098089795214,
122.17745467006085,
91.40952315309559,
71.82618203070932,
133.55863868823235,
143.03942996784923,
61.96943900841178,
72.3089596636923,
118.60460785405446,
128.94157073325945,
83.38325438887541,
96.91434563094735,
72.64147647365381,
118.70634637176292,
77.90939508173913,
130.35674949894457,
122.38087355488909,
117.28920327902021,
94.03709592523522,
81.90872626722876,
122.35218627239676,
102.35611254388927,
64.34022659402015,
143.8211297809615,
125.73798869453326,
65.37883809365657,
74.10782277511619,
80.555778804657,
124.38679904972528,
124.22076764944909,
133.71769746812538,
94.98693653328418,
97.0496666389375,
111.71777464632146,
119.0795009593791,
68.4645986305481,
100.47082856492156,
95.63701626940195,
101.1752273836263,
72.27341669799463,
112.84802860852166,
81.44950045159055,
117.68456409325299,
78.19430733195011,
119.42175354585632,
78.41826693616154,
142.84653730298714,
97.7489474533549,
129.20840456958226,
116.40823854203106,
97.62793299083314,
131.2127439838293,
67.55845727680762,
75.02903257774345,
88.40688625624331,
114.50403567257509,
69.72720205218735,
113.53127943087918,
126.23045973532517,
85.2372749711101,
149.88491424765238,
84.25952857156067,
74.3546759088045,
80.56840443574177,
86.25661887297096,
74.28128099526144,
61.243486783493665,
74.057057946168,
107.41945282702987,
83.18900878807946,
100.71457339487228,
136.26973945427318,
53.78609502758293,
101.44340603170106,
110.15428470203747,
85.09454549957312,
130.10352481622868,
119.43578250048014,
121.99333435121174,
83.14623043272725,
74.06137604966872,
65.32940246832567,
66.47789680815433,
82.76974415488853,
113.31352146480806,
118.74103855651822,
101.80523380019855,
118.70288061803474,
141.5032331189729,
139.72025827635045,
75.1614646803558,
119.01519168187323,
77.17425552524716,
115.64668563182903,
107.99897712242986,
77.57238748339044,
68.37683774253242,
112.21796989412923,
111.67994091605577,
87.21329787344308,
78.68294147229702,
111.76263759632744,
129.44385473642524,
86.0962240685828,
70.94510106712526,
64.64135758874862,
83.93825666758694,
80.66307565848159,
103.07564245347677,
130.0605142529812,
98.83972743232593,
143.90401258712436,
85.41874120437407,
126.85482573166509,
74.65543379426258,
117.40492927911976,
113.74403666635801,
58.528400067300524,
93.53490453382771,
110.42950426376056,
110.68942533511971,
103.77159556353323,
114.05741938396542,
106.01671567112749,
79.22914207447468,
90.82080277885319,
73.59889933729482,
105.50985252136418,
119.80618301233633,
110.83432341264809,
101.03407394881599,
78.6154552985834,
116.046823184219,
91.00092741538835,
133.9030268989045,
71.14648924361032,
97.25266832944081,
72.67980068339986,
116.6658545847626,
87.86117103530162,
133.01583542933096,
113.00086753513129,
126.13965168761888,
137.1023377519805,
71.89923057836522,
136.02866989472466,
75.37509757182931,
128.87375280987462,
78.562779532302,
113.92927869299245,
119.59620892399313,
79.69872655986832,
127.70463462832834,
131.7369231781484,
133.36654276609332,
76.99981147528601,
100.55149037328334,
69.24829835232711,
108.52181417138706,
64.608668166175,
83.7544991502963,
80.71864283741677,
112.30040983834265,
117.49498805456076,
134.61220623185906,
68.47317386221098,
128.18873526738662,
131.90457124372662,
133.17222716440182,
95.50555849169176,
82.92738691309488,
85.43847359611456,
66.47900239134287,
55.88764427596161,
112.90480060938032,
65.64913362191399,
93.20599552746528,
138.24467313735113,
116.38471883508223,
82.02734089802058,
115.15071946948105,
85.55817624135878,
79.46467453925861,
77.68154135316273,
78.05688160420588,
134.47589125204536,
94.45587387814459,
110.4377282232624,
107.31365938706946,
76.74414962588484,
80.30565200138798,
90.03433535550265,
85.99933126481649,
127.32558445203328,
71.76666493468018,
113.08036156943949,
70.66894714788206,
106.87074201123188,
88.59946400041422,
115.1947675806986,
119.00941012735544,
110.34957733883314,
83.04359565931179,
114.40263165077133,
114.9042178371926,
143.80941096382045,
141.65718149217136,
81.60320572540611,
92.46716289994527,
120.54246149153383,
92.88902256843451,
90.35831867766508,
129.34797360724033,
131.94042236442112,
76.743016274914,
74.63189541030667,
97.80595808526036,
93.25114178887242,
77.23510262887791,
103.55203978833869,
84.50425613769833,
67.78460820367147,
107.11990052549814,
89.93314605711285,
137.97729646460374,
103.21563137542599,
146.27640994667024,
78.72198785454465,
113.09195765742028,
92.60798927979928,
70.78450573575334,
76.18546727282725,
105.87867690550044,
74.61320830214345,
70.97395950014115,
89.60377811049766,
114.92273131418794,
63.293499319917665,
71.02402167160065,
127.57550612340023,
105.68027968073476,
131.99823011195164,
105.53785450347935,
90.37197284634482,
74.74816777355248,
129.01308608341424,
67.74760992149746,
115.2492616171512,
71.82387368160704,
68.4438282775229,
87.98634531237275,
98.43859696409632,
89.54534422023553,
60.329318618447616,
98.92261354762604,
112.76582830650884,
149.5427022822455,
94.02237492533308,
87.69547618929556,
117.40569557791397,
85.33313983834509,
80.42961625007668,
67.76979485281129,
114.22974424986015,
144.29735787167292,
121.81517445645652,
78.58779587154042,
73.07482904126572,
117.52828412886454,
133.39484712742745,
72.06913161837043,
69.69466508703519,
112.29657887939503,
73.0765507351549,
49.16938834027411,
78.49981978666554,
96.19270303907655,
86.3315263538303,
97.67976979645458,
113.98758819359972,
71.60121724257375,
83.61670084219912,
62.788945466816095,
70.78432828922038,
88.78298658009895,
95.7862619738715,
123.53928864224162,
89.18745986635068,
147.72621282521743,
65.05875065679868,
67.20716145735757,
69.83572398378625,
89.46377132986343,
88.42697303309855,
140.75194540809605,
94.8504238306913,
63.76505432286882,
119.25743473783845,
94.04327510257347,
76.98971161569938,
124.04589367464813,
113.31836984626952,
105.28060754959772,
112.75187391333512,
71.96994733638175,
72.54684866286391,
91.17946785831741,
143.21412517059395,
73.8992225404547,
95.91841376575213,
111.61486059520168,
110.27123835584719,
68.91549283049156,
85.30659554630299,
80.8997641861994,
64.0598594626945,
130.35371964101864,
141.96337950192935,
98.0694568309411,
80.4216325108973,
143.09464011100368,
73.78964887320406,
83.78651829422104,
128.6973566846649,
143.36160579718648,
98.18397425768515,
79.26145794692073,
71.01867898770251,
126.62083384996123,
118.97694571782101,
86.84912446700254,
118.72285976258495,
79.81810425512842,
102.47214664023736,
68.99121465590123,
142.51098696006554,
73.36659445051244,
71.86059927919483,
92.23486816187008,
120.57001363557634,
109.70725400882138,
60.35490627855194,
86.668651919242,
109.8455105616986,
99.25170194714204,
76.8224553034257,
90.39813857788454,
111.2657105286738,
70.39002650808897,
79.87955353818792,
85.19530736929104,
66.40923408013931,
109.8681587263372,
133.5627111717866,
109.70589361801301,
115.01349847232173,
99.80033531606638,
98.9298923501678,
134.01493907248232,
119.06627483599677,
125.29470866086285,
71.60272975091804,
118.25352770332972,
106.91110484364518,
104.66179147030759,
86.01186781423104,
96.98878388725174,
119.82353746768928,
59.89190669990283,
82.49592511775107,
111.78054632942433,
53.25853257880031,
111.27346908671532,
68.11645350683555,
87.19196184403124,
72.25285983016647,
134.1012195439224,
124.5323357625351,
92.16242822335681,
115.17645547172279,
122.80239334892792,
122.48165944750204,
91.33661210524129,
116.71521766345646,
60.447829054957104,
79.36841248597506,
137.96767316832367,
59.46787995823497,
78.71186173200904,
121.06693595876516,
143.51596059812064,
129.73355607768417,
66.9378655952177,
106.7857170183038,
146.71738118310134,
97.48703542866045,
129.03804313910305,
83.75663637894104,
92.94693306866961,
65.700639922141,
89.83969609387941,
78.37185341727032,
71.36576001721215,
81.55669183178628,
142.29441352274188,
97.51552988755627,
90.88326189564538,
108.24721738272129,
114.28711081819706,
111.48667827580496,
129.4640249923861,
66.90265490775062,
115.11741996600378,
83.25955887722431,
56.65429836236737,
70.37369250745702,
76.33711926050547,
114.47940267081299,
96.42016583221172,
68.69860795540679,
106.78686178469377,
86.97674835546518,
141.50580838502998,
85.22640531685845,
82.84396413149548,
147.49007010490806,
106.22486038166964,
127.51560431888849,
98.785045965971,
65.08228047209151,
104.5543191996851,
75.08885007127229,
117.9286008152751,
80.30993735564839,
75.3774121652256,
62.58318969131357,
80.6583663243018,
64.49467538820734,
84.58729502362367,
147.0501513978244,
65.0472541240974,
132.30573111823526,
118.29022380263058,
63.25137137275153,
102.42931482845171,
76.67959805533972,
74.89246812719956,
129.11388312255724,
130.1961355059665,
82.83948787106692,
104.11061879495676,
148.5071360066528,
102.95949550510372,
135.12913875699826,
119.3714984525046,
73.76046118740634,
73.06096204218504,
79.15956977606696,
106.31286991048177,
97.12591528028021,
119.19501542347257,
95.7299466835456,
58.0341671607391,
101.33595490846348,
100.31113086671729,
109.28652660476222,
109.1275525383024,
141.27706915213037,
111.78940657181319,
113.6693331513342,
67.61299579831523,
113.26325574966374,
152.41274530766768,
129.33783052408813,
101.17557145447913,
76.00627611874546,
67.69896065568172,
129.02954115372583,
83.67287374347995,
102.64956720553161,
105.91069223589722,
105.15301121359754,
94.56137991658542,
69.97380651725481,
118.89917205316381,
112.9358000274405,
89.37965386945459,
126.41095173203112,
123.28334492255108,
125.28771833309173,
94.12503029245863,
87.81972557891272,
69.0933780051533,
129.86852203198697,
71.50064106785652,
87.5372774712899,
107.33932388145045,
122.84652351607697
]
}
],
"layout": {
"annotations": [
{
"font": {
"size": 20
},
"showarrow": false,
"text": "Feature Space",
"x": 0.25,
"xref": "paper",
"y": 0.95,
"yref": "paper"
},
{
"font": {
"size": 20
},
"showarrow": false,
"text": "Neural Space",
"x": 0.75,
"xref": "paper",
"y": 0.95,
"yref": "paper"
}
],
"margin": {
"b": 0,
"l": 0,
"r": 0,
"t": 0
},
"scene": {
"aspectmode": "cube",
"domain": {
"x": [
0,
0.45
],
"y": [
0,
1
]
},
"xaxis": {
"range": [
-1.2,
1.2
],
"title": {
"text": "Feature 1"
}
},
"yaxis": {
"range": [
-1.2,
1.2
],
"title": {
"text": "Feature 2"
}
},
"zaxis": {
"range": [
-1.2,
1.2
],
"title": {
"text": ""
}
}
},
"scene2": {
"aspectmode": "cube",
"domain": {
"x": [
0.55,
1
],
"y": [
0,
1
]
},
"xaxis": {
"range": [
-240,
240
],
"title": {
"text": "Neuron 1 firing rate"
}
},
"yaxis": {
"range": [
-240,
240
],
"title": {
"text": "Neuron 2 firing rate"
}
},
"zaxis": {
"range": [
-240,
240
],
"title": {
"text": "Neuron 3 firing rate"
}
}
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"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": ""
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"num_points = 1000\n",
"x = task_points[:, 0]\n",
"y = task_points[:, 1]\n",
"z = np.zeros(num_points)\n",
"\n",
"angles = torch.atan2(task_points[:, 1], task_points[:, 0])\n",
"normalized_angles = angles / (2 * np.pi) + 1 / 2\n",
"colors = plt.cm.hsv(normalized_angles)\n",
"\n",
"N = 3\n",
"place_angles = np.linspace(0, 2 * np.pi, N, endpoint=False)\n",
"encoding_matrix = gs.vstack((gs.cos(place_angles), gs.sin(place_angles)))\n",
"vectors = [encoding_matrix[:, i] for i in range(N)]\n",
"\n",
"cm = plt.get_cmap(\"twilight\")\n",
"vector_colors = [cm(1.0 * i / N) for i in range(N)]\n",
"vector_colors = [\n",
" \"rgb({}, {}, {})\".format(int(r * 255), int(g * 255), int(b * 255))\n",
" for r, g, b, _ in vector_colors\n",
"]\n",
"\n",
"scatter1 = go.Scatter3d(\n",
" x=x, y=y, z=z, mode=\"markers\", marker=dict(size=5, color=colors), name=\"Data Points\"\n",
")\n",
"\n",
"lines_and_cones = []\n",
"for idx, (vector, color) in enumerate(zip(vectors, vector_colors)):\n",
" lines_and_cones.append(\n",
" go.Scatter3d(\n",
" x=[0, vector[0]],\n",
" y=[0, vector[1]],\n",
" z=[0, 0],\n",
" mode=\"lines\",\n",
" line=dict(color=color, width=5),\n",
" name=f\"Encoding Vector {idx+1}\",\n",
" )\n",
" )\n",
" lines_and_cones.append(\n",
" go.Cone(\n",
" x=[vector[0]],\n",
" y=[vector[1]],\n",
" z=[0],\n",
" u=[vector[0] / 10],\n",
" v=[vector[1] / 10],\n",
" w=[0],\n",
" showscale=False,\n",
" colorscale=[[0, color], [1, color]],\n",
" sizemode=\"absolute\",\n",
" sizeref=0.1,\n",
" )\n",
" )\n",
"\n",
"\n",
"x = noisy_points[:, 0]\n",
"y = noisy_points[:, 1]\n",
"z = noisy_points[:, 2]\n",
"\n",
"print(f\"mean firing rate: {torch.mean(noisy_points):.2f} Hz\")\n",
"\n",
"scatter2 = go.Scatter3d(\n",
" x=x,\n",
" y=y,\n",
" z=z,\n",
" mode=\"markers\",\n",
" marker=dict(size=5, color=colors),\n",
" name=\"Neural activations\",\n",
")\n",
"\n",
"\n",
"fig = make_subplots(\n",
" rows=1, cols=2, specs=[[{\"type\": \"scatter3d\"}, {\"type\": \"scatter3d\"}]]\n",
")\n",
"\n",
"# Add the first set of traces (scatter1 and lines_and_cones) to the first subplot\n",
"fig.add_traces(\n",
" [scatter1] + lines_and_cones,\n",
" rows=[1] * (len([scatter1]) + len(lines_and_cones)),\n",
" cols=[1] * (len([scatter1]) + len(lines_and_cones)),\n",
")\n",
"\n",
"# Add the second scatter (scatter2) to the second subplot\n",
"fig.add_trace(scatter2, row=1, col=2)\n",
"\n",
"reference_frequency = 200\n",
"\n",
"\n",
"fig.update_layout(\n",
" scene1=dict(\n",
" aspectmode=\"cube\",\n",
" xaxis=dict(range=[-1.2, 1.2], title=\"Feature 1\"),\n",
" yaxis=dict(range=[-1.2, 1.2], title=\"Feature 2\"),\n",
" zaxis=dict(range=[-1.2, 1.2], title=\"\"),\n",
" ),\n",
" scene2=dict(\n",
" aspectmode=\"cube\",\n",
" xaxis=dict(\n",
" range=[-reference_frequency * 1.2, reference_frequency * 1.2],\n",
" title=\"Neuron 1 firing rate\",\n",
" ),\n",
" yaxis=dict(\n",
" range=[-reference_frequency * 1.2, reference_frequency * 1.2],\n",
" title=\"Neuron 2 firing rate\",\n",
" ),\n",
" zaxis=dict(\n",
" range=[-reference_frequency * 1.2, reference_frequency * 1.2],\n",
" title=\"Neuron 3 firing rate\",\n",
" ),\n",
" ),\n",
" margin=dict(l=0, r=0, b=0, t=0),\n",
" title_text=\"\",\n",
" annotations=[\n",
" dict(\n",
" text=\"Feature Space\",\n",
" xref=\"paper\",\n",
" yref=\"paper\",\n",
" x=0.25,\n",
" y=0.95,\n",
" showarrow=False,\n",
" font=dict(size=20),\n",
" ),\n",
" dict(\n",
" text=\"Neural Space\",\n",
" xref=\"paper\",\n",
" yref=\"paper\",\n",
" x=0.75,\n",
" y=0.95,\n",
" showarrow=False,\n",
" font=dict(size=20),\n",
" ),\n",
" ],\n",
")\n",
"\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot neuron tuning curves:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sorted_indices = torch.argsort(angles)\n",
"sorted_data_by_angles = manifold_points[sorted_indices, :]\n",
"\n",
"fig, axs = plt.subplots(1, 2, figsize=(15, 5))\n",
"axs[0].imshow(sorted_data_by_angles.T, aspect=\"auto\", interpolation=\"none\")\n",
"axs[0].set_xlabel(\"Angles\")\n",
"axs[0].set_ylabel(\"Neurons\")\n",
"axs[0].set_title(\"Neural Firing Rates\")\n",
"\n",
"sorted_noisy_data_by_angles = noisy_points[sorted_indices, :]\n",
"\n",
"axs[1].imshow(sorted_noisy_data_by_angles.T, aspect=\"auto\", interpolation=\"none\")\n",
"axs[1].set_xlabel(\"Angles\")\n",
"axs[1].set_ylabel(\"Neurons\")\n",
"axs[1].set_title(\"Poisson spikes\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Cylinder ($\\mathcal{S}^1 \\times [0,1]$) in Neural State Space $\\mathbb{R}^3$"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"marker": {
"size": 5
},
"mode": "markers",
"type": "scatter3d",
"x": [
-0.10059426466168578,
-0.06639180100609508,
0.9482579092999596,
-0.5426183333972321,
-0.8635486441726753,
0.9225650379772279,
0.8212470695806127,
0.798419688806042,
0.11569455300733353,
-0.9976807786140851,
-0.6249223473399277,
-0.9841060436744195,
0.7815858451495281,
-0.9260276982931076,
-0.9874539328068694,
0.8733109613981427,
-0.8336876881803683,
-0.9767623483321192,
0.8251078177987353,
-0.6550775674590299,
0.14237941119132613,
-0.8168459198045569,
0.2720379526096492,
-0.5103309579412141,
-0.017546859553019822,
0.4226065335308588,
-0.9512147254965582,
0.9932173770445287,
-0.7961361850725851,
-0.9029538359056337,
0.9155986107971602,
-0.9742136764137805,
-0.6966465062154644,
0.8563723738840372,
-0.9646941458041198,
0.8976832946140896,
-0.9941082490580793,
-0.896831709241911,
-0.17558301091957973,
0.9847172413091808,
-0.6652500832618531,
0.8535418014811,
-0.38858639854686666,
0.6535567766211694,
0.0719487256772792,
0.9917966496310405,
-0.6386269270395432,
-0.5523141343682323,
-0.08935670418223639,
0.8863110132181811,
-0.9165279849808448,
-0.6816800500232947,
-0.9848841155114761,
0.8123555098601379,
-0.5294825185756306,
-0.2904177387596301,
0.49527225409845327,
-0.0013819463697437328,
-0.06672738574550868,
-0.7012129425355522,
-0.8571661465120278,
0.33819897090726575,
-0.8875341780249346,
-0.7342382062484558,
0.9069612689539116,
0.3195890700381139,
0.9680480246387696,
-0.8324581484151813,
0.07979936785246489,
0.47940726908783216,
-0.9755907019540753,
-0.0667656826649598,
0.794466295658423,
-0.5238681387118889,
0.6589740841589835,
-0.30103762998047645,
0.3837322074350442,
0.9904768082468398,
0.7912897968922665,
-0.36501186870909663,
0.3819248092499165,
0.7335315417218847,
0.8269232716569528,
0.7419066622843775,
-0.8925176584248958,
-0.9842025456538649,
0.9537999987422691,
-0.35717448116604833,
0.5269350803800134,
-0.5466222504061756,
0.7499014031062256,
0.3240557551745764,
0.4375461412069909,
-0.8213847721571419,
0.6271858822013652,
-0.8404963858753906,
0.017536966773106944,
0.1724773481287644,
0.914919069110058,
0.3158702987269658,
0.7735891792727094,
0.9229929449876744,
-0.11176320253266035,
-0.8052732375423961,
-0.4801956248010176,
-0.9313078731999137,
0.5500087886763491,
-0.9904215163751086,
0.22400171991384704,
0.42825055653065813,
0.3253909149466979,
0.5308331150689173,
0.07666276853507119,
-0.9502976880497517,
0.9319349079759557,
-0.5390443304475966,
-0.9956296186787835,
0.6863397530957552,
0.5578380486660784,
0.7939840626067076,
0.7024699386272483,
0.6786193056722201,
-0.0901282274318244,
-0.9515776764833922,
0.963341610714606,
0.35067552764063536,
-0.29066653118011687,
0.1044621294710393,
-0.9871198192818047,
0.3016959266809331,
-0.24460865062538958,
-0.9928615940768368,
0.7836203906754098,
0.9692222945083612,
0.4493492433669655,
0.6639955911385376,
-0.8277402170399877,
-0.9848575222871787,
-0.5954605766784794,
-0.12649376664855677,
0.9252083427713114,
-0.3754433123824339,
0.286981366427143,
-0.9784785843048694,
0.9764189630995134,
0.9672773700657659,
-0.5171307626865501,
0.8726613507662797,
-0.9560399083842112,
-0.37541128304221855,
-0.8684321681885577,
-0.6476488053337554,
-0.9974538534351716,
-0.9159786189633223,
-0.10380620914703938,
-0.391810690526154,
0.9979737800307489,
0.10390872732111221,
0.6777876690838169,
-0.3128431828681445,
-0.9126190109180579,
0.9572207172204308,
-0.40894602748812275,
-0.951538927342111,
-0.2144295177650888,
0.5778841960266524,
0.8792232881944065,
-0.6132014542556996,
-0.18859930250531334,
0.15938616644012113,
-0.5776210624837965,
0.9997612110662235,
0.5382186874190342,
-0.6028339617630406,
-0.9714863380019115,
-0.42215874188260555,
-0.8088581975698206,
0.6046636034157646,
-0.9433745134055471,
0.8670007775435055,
-0.7936189915158521,
0.8618469380067585,
0.4483782038908412,
-0.9016245077978742,
0.6288200629910585,
0.3291291159498311,
0.26617864588910867,
0.33385415840817106,
-0.6278929569106863,
-0.9035684837101979,
-0.6809215573133895,
-0.8581393584333087,
0.8244132864310934,
-0.5230863188841547,
0.6877017345085823,
0.9537533057044184,
0.8971446128183964,
0.9001011269709154,
-0.9918786950324372,
0.6476319369842203,
-0.871770669913468,
0.8412573915027063,
-0.949324507270875,
-0.49519425461577393,
-0.6303111845196904,
0.6089344453018966,
-0.519326603489788,
0.9013779669955874,
-0.9945235297802805,
-0.30094531707158373,
-0.3452361222296667,
0.679563861577883,
-0.2903518562839408,
0.5471211291649202,
-0.5721781709420919,
-0.33189856964891434,
-0.9639144396094251,
0.29638155459865867,
0.5608355089173656,
0.24604018645675,
0.40228645427390114,
-0.2195037216291057,
0.5012975524611409,
-0.4689323281901394,
0.7181408845377372,
-0.14094057790612455,
0.21187633699193553,
-0.9755839892313365,
-0.9298850900107133,
0.9979928782201738,
0.4145927744953156,
0.5810635656001915,
-0.870461154671961,
-0.24932655121840436,
-0.9759187265426099,
0.24107282015945658,
-0.8235320485915069,
0.053138843378069615,
0.5440980156591876,
0.9728034157819573,
-0.29326954881703304,
0.5103188045566331,
0.8856884498537484,
-0.7845462777126117,
-0.9808339230380168,
0.9817186164450026,
0.9868986362285266,
0.924431351940046,
0.9317087147109826,
0.9994828332378243,
0.883875944793159,
0.6864669588960771,
-0.957617606819507,
-0.9993046869100403,
0.2993902974574235,
0.9999295862542195,
-0.2851559985844622,
-0.9363243243803281,
0.19976864006078957,
-0.27622899433531617,
-0.37642674028433215,
-0.9488875861499971,
0.40205337871760166,
-0.5963765237973149,
-0.3349672032789093,
-0.38381092969805924,
-0.994009321426523,
-0.9647325299359373,
-0.8597970675833465,
0.6458802513913545,
-0.23280990638065363,
0.5919807923783256,
-0.8130287206279683,
0.07009719418591112,
-0.24251139405140537,
0.6675039242374056,
0.7381194558367321,
0.9631243628079661,
0.5363256478396382,
0.3287447507650486,
-0.9429817792512795,
0.7451293637417711,
0.9545902597680228,
-0.17781907940504213,
0.682887424781555,
-0.6586298683553243,
-0.5118310914630688,
0.9934714125796993,
0.9211074618978279,
0.6945468541800665,
0.9837618787631315,
-0.6802300599486275,
0.1986124300465717,
-0.9990624086074577,
0.1634073181278094,
-0.8321045618257372,
0.8843987462514904,
-0.9794920208934313,
0.8785432746043359,
-0.06654187194203846,
-0.6204395326690594,
0.6690416180566577,
0.9929347864406359,
0.6654271158793816,
0.9901437767928343,
0.44599786470598973,
-0.6190696953774706,
-0.921733816345231,
0.6631768371363286,
-0.9293499638913706,
-0.2347502250208028,
0.9591276388081847,
0.7941672528706762,
-0.9995390606072978,
-0.8117945349186008,
-0.9371345400540028,
-0.8336231914232377,
-0.03506644232858786,
-0.6513070558021885,
0.673353271115476,
0.352516062389931,
0.34789401946753584,
-0.8487733849883039,
-0.30775114485589433,
0.005242168286557092,
-0.7776291058273664,
0.22549256643880666,
-0.9481995155735442,
-0.8162974743782614,
-0.8439653410111565,
0.35727158752127464,
0.8840165868491111,
-0.6504675807634055,
0.4748570228896582,
0.15369797119746242,
0.8739653279821673,
0.9887907964786814,
-0.3470899708941572,
-0.14406662508948478,
-0.11177955854441392,
0.9695954764617882,
-0.47462027714272687,
0.5171940556461153,
0.14706238941848893,
-0.8522389358209719,
-0.2944439063350126,
-0.9498142209726302,
0.7464425043434604,
0.9902727553988518,
-0.13581048642342597,
-0.2941878727734998,
-0.7242833024608495,
0.9509649537952153,
0.07074201112508648,
-0.04404100955486325,
0.22059010473415538,
0.3532651323014926,
0.9968088749782198,
0.5168763755255141,
0.5243161324839164,
-0.7304969520416644,
-0.9998865770722423,
-0.3497186715665942,
-0.6866134329885479,
0.8578946763734515,
-0.15523515000270052,
0.9731526459241587,
-0.9741718986992408,
0.9968895299184817,
0.9981600376348387,
0.4925826815366529,
-0.9407621094689937,
-0.9890448651667443,
-0.6937441668840396,
0.808910127629993,
-0.9668028166683773,
-0.5862342651469565,
-0.2330408376509331,
-0.8004325995663756,
-0.7730981117453957,
-0.7255452319013619,
0.566869536584691,
0.009450028243548266,
0.859380486220278,
-0.971843799738652,
-0.5542762427276521,
-0.982799992058888,
0.9076199776038086,
0.12716146999204128,
0.7966538406163964,
-0.317413399795977,
-0.7815054361657984,
0.9465011789243126,
0.9977250821022118,
0.995010296482878,
-0.17491257916944816,
0.9978217717003456,
0.15961367407798288,
0.9050794475140861,
0.330651988506347,
0.578143060005305,
-0.06432103514874146,
0.8462526349720804,
0.6043818820463697,
-0.9920051904588336,
0.1568253401034398,
0.9132766910974746,
-0.8909696473801464,
-0.28545186716551485,
-0.9979967600968707,
-0.7310030633988481,
-0.10845252926723868,
-0.249086907650388,
-0.45144392068603223,
-0.9148187169690729,
-0.6983506920587892,
-0.2215551289266505,
-0.9786325151457844,
0.949507234052373,
0.9099847150696756,
0.27907296860157926,
-0.041230473757005004,
0.19984665103910162,
-0.9698708624038838,
0.7153243232021271,
-0.45301134648841324,
0.23899712950028149,
0.2995793493845112,
-0.5356728891716821,
0.9165351570691801,
-0.18308590964169577,
0.7537173429632144,
0.9843507162358124,
0.7082703727198064,
-0.18642703846008515,
-0.07891205698807831,
0.9185262242027898,
0.6643250239049389,
-0.1354875496883141,
-0.44153719257987817,
-0.6204031290836677,
0.9541447160290626,
-0.9895293676292317,
0.5454549661054223,
-0.7597077230334539,
-0.7188858264001563,
-0.11957304187485158,
-0.9995865419910106,
-0.766205905268694,
0.2323688329585453,
0.8335620916318499,
-0.35340591493715473,
0.7535125589072611,
0.7780673366904635,
-0.5457165692627478,
-0.21554083074706967,
-0.9583251763143377,
-0.30088908489011446,
0.1814168378126703,
0.6392487867864264,
-0.12430351372385136,
-0.4214159098408718,
-0.809130322313589,
-0.48984339787490594,
-0.3562838307074716,
-0.32217894254651785,
0.03333539127641389,
0.514722592053876,
-0.2281222785551874,
-0.6505984309520186,
0.5979957317279635,
-0.9474263267318275,
0.9992664873697207,
-0.9138375014149601,
0.8077088171163055,
0.9470871535670232,
0.6966300804611584,
-0.024932236614588002,
-0.08473704303338861,
0.15761253509496356,
-0.01089109465582854,
0.5052012682684265,
-0.9999922117945459,
0.9979919458947893,
0.9147954010812539,
0.23340867541609833,
-0.20007636960980849,
-0.46190345948435135,
-0.7941015507415223,
0.9973277475012986,
-0.5373545608060084,
0.001416885996470625,
0.1419417301770085,
0.8126059814836438,
0.5558943155709756,
0.2854980565942278,
-0.9980555083208099,
-0.5262915954122451,
-0.6962948640405391,
0.5613888407875427,
-0.720050439677621,
-0.9898109675058152,
-0.01713235080000292,
-0.3941089330460151,
-0.8574959183054857,
-0.6727731240462559,
-0.5608677354766417,
-0.15883909907953267,
0.5487338406360647,
-0.4301117014570279,
-0.2549171417433524,
-0.027280053093184917,
-0.9980087374457504,
-0.9822091005994092,
-0.15563195847677327,
-0.8921062353481253,
-0.3315129115233135,
-0.7046915651158774,
-0.6480566180262132,
-0.7353696974902402,
0.8554799672193556,
-0.8667029405006214,
0.9998106069965014,
-0.17311036685106848,
0.8391550513988866,
-0.37357844685034886,
0.4814048085568518,
0.9881994084272252,
-0.468448917872554,
0.7651882607889647,
-0.9618259177671249,
-0.7849403718405217,
0.873525462719294,
0.984508266160339,
0.8515173533355777,
-0.1421455136362035,
0.9971614978094457,
-0.9290589916426949,
-0.7196744319955415,
-0.9202224264061905,
-0.9982243694534194,
-0.2501004094988091,
0.9981723011646699,
0.7276688976817125,
-0.288895252904472,
-0.3415992284848393,
-0.5019126223002397,
-0.3363989226939779,
-0.3159941662968363,
-0.5382893290290265,
0.06745388743729822,
0.220408715940948,
-0.8857543486980519,
-0.10170033568916337,
-0.20240415648026844,
-0.8280828613359612,
-0.724950177499878,
-0.9832231362592461,
-0.9920844469009514,
0.7126714236758082,
-0.2642189359132697,
-0.3297593027912162,
-0.9996552140775173,
0.519911578816558,
-0.5233601909796504,
-0.7430306653542305,
0.7078777470863559,
-0.7489430860088236,
-0.09376260346827632,
0.3364631218100599,
-0.5945604517457969,
0.5076040701855046,
0.9999259546155423,
0.9990840071086939,
0.9931957538150713,
-0.873027723593774,
-0.9801979526153861,
-0.97534075533302,
0.9872484145164965,
-0.5428365566805476,
-0.38393992561840995,
0.843291093860388,
0.9598526385409735,
0.598834940615004,
0.8995958897162377,
0.9916171378409444,
0.9540514661861498,
0.9420329593551928,
-0.5964462055602068,
-0.46725192356378376,
-0.46601901754735503,
0.9838171341227389,
-0.8024891051900704,
0.8447340525585996,
0.6562792025898662,
0.9851078955283014,
-0.6945023823529041,
0.021305824834808647,
-0.013627216127824351,
0.402188143761113,
0.18932170801640283,
0.06046314936370558,
-0.974570766498074,
-0.9937759848813419,
0.9765662190512112,
-0.42910738524992315,
0.33099060875303415,
-0.9994784184764522,
-0.22717036895122883,
0.8760575341348485,
0.623842063063117,
0.044634261450737976,
-0.9572856454010442,
-0.24950910973929835,
-0.6710304549822459,
0.9842757080511898,
-0.996315041982185,
0.668964168619064,
-0.3138139761983638,
-0.719268405703835,
0.2252458430749902,
-0.9655459238373838,
-0.9102320987222492,
0.22062116355085065,
-0.9796074083973424,
0.2077262073301778,
-0.32590931296246245,
0.9622718127960503,
0.804495716584477,
0.32589282709595085,
0.5851229133404211,
-0.9853666296028326,
0.010451754227202152,
0.8676105134664218,
0.9465084660609467,
-0.3779404538038159,
-0.3725097543267554,
-0.4826660392413268,
0.7309800647055208,
-0.4383368887638333,
-0.5359116980304873,
-0.9877322700090185,
0.7223012015041861,
-0.7775435818842392,
-0.9724488424940037,
-0.8333255477854473,
-0.5538001090289332,
0.9183329190977108,
0.6524068140603347,
-0.26146700298157216,
0.624174976044253,
0.9985547608184454,
-0.6052771285295508,
-0.29155151339773827,
-0.4821000057008268,
0.0330663095599041,
-0.7425998014740135,
0.21272690650626425,
0.544986139798898,
0.9362313977638069,
-0.5839527812522846,
-0.4701682772421169,
0.37818229220288585,
-0.5442055167818765,
0.9996900963283332,
0.9690379023525449,
0.13521998712881234,
-0.7602948420486628,
0.6258330517159374,
0.5779849063014288,
-0.8845550254345496,
-0.3265593005300076,
0.7430059780159866,
0.09595830829972757,
-0.3954025422544616,
-0.9817146022246758,
0.9448494301659981,
0.8126387886326308,
-0.9835817231057766,
-0.5476114345395002,
-0.3839879836140944,
-0.6145575324472088,
-0.9063561688171947,
-0.3995303926463914,
0.4060827717482867,
-0.4719679127902499,
-0.6346773774052641,
-0.941713111160429,
0.9977863993639117,
-0.9768987235916883,
-0.7610509534047386,
-0.8782599307047166,
-0.7756751858911094,
-0.850888751958725,
-0.478539959557995,
-0.6110008827872833,
0.9398435930163114,
0.0895229448947919,
0.43074754247421093,
-0.3961769660013497,
0.8420551807392914,
-0.1932297101923518,
0.00558907838361476,
0.7086684350264301,
-0.7724045667460034,
0.20728365775275961,
0.881404571912193,
-0.9272666956126259,
-0.9709997238051624,
-0.23386113680331863,
0.6055836822663233,
-0.8618576079262215,
-0.5891205952329697,
-0.23472158741947655,
-0.9736281709635467,
0.9792014161354148,
0.9983461111579697,
-0.3716700611901298,
-0.1941047349763431,
-0.6710269861676248,
-0.9580568308125756,
-0.983165490093494,
0.9261541202887645,
0.9960317262473397,
0.024853745332449356,
-0.10094569269459833,
0.11327870804734194,
0.916148703498376,
-0.30807037208886545,
-0.43868291269118576,
-0.8599126712738246,
0.6417063111126402,
0.930235731972938,
0.9541157392899919,
0.8011582109057004,
0.47443682216156907,
0.953429769280796,
-0.9995495585347993,
0.3497337659303143,
0.8340120718039885,
0.5646324020154854,
-0.9765043679052566,
-0.9902976607300672,
0.5184279155148375,
0.8737492096944288,
0.7001611111001066,
-0.2581723844600497,
0.8408815599451959,
-0.7116100938289586,
-0.9153506424707374,
0.6562179163469911,
-0.9291575096059593,
0.8022227237472287,
0.14053177217484844,
0.20088052053001884,
-0.2112944385915214,
-0.9997040786551761,
0.6867669901327852,
-0.3834390927822553,
0.7032671524161498,
0.3784423320742564,
0.6169283452845944,
0.7313555295302768,
0.4492051468199506,
-0.5375467292730345,
-0.6608350014579522,
-0.9938062251568383,
-0.904013200671424,
-0.4540505356897326,
0.2968391776950413,
-0.357440313121688,
0.908519510833075,
0.9713253484177705,
0.5069681805109112,
0.6504046007895499,
-0.8169767493034398,
-0.873948327815815,
0.794324374454153,
0.6810772309585342,
0.9314693284004227,
0.3334478245787996,
-0.33327459148932187,
-0.944466202344419,
-0.7628157084700071,
0.16959484929915522,
-0.9778386093716143,
0.95636138918059,
0.9135731009872876,
0.8763187031303136,
-0.18931857966618096,
0.9754798263408979,
-0.35595826882760034,
0.1789517001651735,
-0.8248063565381057,
0.511313362815967,
0.4544892526787378,
0.5505121257097702,
0.7519885219297381,
-0.8263302766310371,
-0.9677135871507677,
0.5841468816323905,
0.8311690674198724,
-0.380431180046998,
-0.6012911099786892,
0.9970506244202028,
0.5258813109091683,
0.3768079471051472,
0.8692548285466418,
-0.46044762455541344,
0.9001535448490099,
-0.780383746616157,
0.9705061285936042,
0.6679264234471266,
0.17211397499494968,
-0.44540225894631813,
0.8250493513792135,
0.9996718582545802,
0.8585999835623126,
-0.7931399676623646,
0.47382214721997074,
-0.950139546543172,
-0.9601567906178885,
0.9362485969730721,
-0.9311707256453119,
0.3635651916572816,
0.9875113438141291,
-0.6561197871358422,
-0.46687858136047555,
-0.6575791251221048,
0.7214987749997372,
-0.9341582035918299,
-0.42205150175355316,
-0.8618566264885912,
-0.015733974742041298,
-0.5853006919450262,
-0.33987532830797096,
-0.9931628690054742,
-0.8197992424323274,
-0.9812950676163816,
0.8227213431137754,
0.9638182552478975,
0.22783775957919367,
-0.5463609417309498,
0.9989848342183972,
0.5317708898815718,
0.8558987292435621,
0.9795355857079646,
0.9624097555725336,
0.5146496981823351,
0.38661828562877476,
0.7131652783288704,
0.8242309610645421,
-0.3878269949531882,
-0.57826057781563,
-0.9635822917897345,
-0.9679392101113088,
0.7396967968328955,
0.6198249044967143,
-0.04130012810621016,
-0.7171022391549137,
-0.755311748583977,
-0.3895678730759562,
0.893342317527647,
0.6584629396430215,
-0.6124693476370852,
0.10632407360555116,
0.9131105276464124,
-0.9954231672982368,
0.4692577082767722,
0.9998231913631027,
0.8003713722560037,
0.5753197907384047,
-0.3797045709701241,
-0.8995811045637797,
0.9911843987134575,
-0.580971595368003,
0.6280424179755391,
-0.9719238805572645,
-0.6768873321301818,
-0.4998872537095862,
-0.3829497518882004,
0.9221282759690373,
-0.12023575656557584,
-0.9078145168817903,
-0.915336314763394,
-0.8191998981494416,
0.22123439672025563,
0.458499469875415,
0.0542814115726577,
0.6752832622958185,
-0.5173990249863448,
-0.971532001134914,
0.9951112098210055,
0.9187452821030708,
0.3484338019698746,
-0.6751874934927945,
-0.6085810776360089,
-0.3513757149200733,
0.9822179827103303,
0.943846002822007,
-0.683707012682346,
0.33810414741597244,
0.2893778232536046,
0.025913027819852767,
-0.004455416462252639,
-0.26908488548749954,
0.03419259188969927,
0.9906822609827084,
0.8316538810060041,
0.5769506031929015,
0.9807364902163969,
0.9854613769039497,
0.7460011397756582,
-0.21553036458823296,
-0.2280600544233427,
0.12845902326660463,
0.9656145165021693,
0.5510067582473749,
-0.8073666453165174,
0.14992072837821474,
0.7912404726964849,
0.5382488802297308,
-0.8213403154928226,
0.427058016318407,
0.7019024014838852,
0.8795436454993938,
-0.37298107021254456,
0.17529782127108318,
-0.8934301569058543,
0.3325978882056648,
0.38434144249749946,
-0.8483331867012055,
-0.0922690099763433,
-0.9307005078344082,
0.29388359098844846,
-0.919995822472162,
-0.9154941565932132,
-0.5341620861715732,
0.2792362960668156,
-0.3156572464340885,
-0.7262017793862281,
-0.9700956098462655,
-0.7469613222706096,
0.09251014532917028,
0.3849358100967369,
-0.7800947782996334,
0.9884781440492861,
0.9921130956086888,
0.9935264859180498,
0.9572846550484375,
0.8882604912142458,
-0.3348068527347224,
-0.9647466551480556,
-0.6811242457986029,
0.5474527226285681,
0.22650721493510217,
0.9077608719616195,
0.6753374101351535,
0.9118062586669923,
-0.691843715427298,
0.37219919162576104,
-0.6848741378450236,
0.9998612300284222,
-0.030834264301022353,
0.9982615343208248,
-0.8181312658918111,
0.7683830797009291,
-0.38290808687635997,
-0.5301290359842981,
0.34704805575656317,
-0.8829574663564231,
-0.04146837432668396,
-0.9837286748738306,
-0.9998095838794648,
-0.4481389809909012,
0.904274035151338,
0.9999152742490086,
0.5499740566743764,
0.29886001081766556,
0.2970376347694855,
0.10092760131396447,
-0.9696433114934269,
0.8270871885465647,
-0.9143103720896393,
-0.15855773922230257,
0.22885896202361036,
0.5730281065470857,
0.7222136592500021,
-0.9999964824486094,
-0.6551341272478498,
-0.9468997273752544,
0.938410031992557,
-0.9756100697843275,
-0.7423415662995039,
0.31787174307339344,
-0.0432724571348731,
0.7974642716351064,
0.4381840336091313,
0.907284792195803,
-0.8106147545286082
],
"y": [
-0.994927531992745,
-0.9977936303460586,
-0.3175010825966895,
0.8399793713307551,
-0.5042655442795334,
-0.3858416134919556,
-0.5705727391886649,
0.6021013208147471,
-0.9932848385052664,
-0.068066614312693,
-0.7806869153477306,
0.17758179750042385,
-0.6237976969033293,
0.37745556293949256,
0.1579073481008612,
0.487163180774011,
0.5522362162847281,
-0.21432525488314214,
-0.5649752994666308,
0.7555616325700769,
0.9898121555471073,
-0.5768559120773987,
0.9622865229961138,
0.8599780888876197,
-0.9998460420083817,
-0.9063132558983297,
0.30852965173303437,
-0.1162722750133777,
0.6051174884417656,
-0.42973755970743555,
0.4020935014474995,
-0.22562737575113917,
0.7174145561513138,
0.5163587485926995,
0.263372749257131,
-0.4406412402065806,
-0.108391831586518,
-0.4423718857457292,
-0.9844646292662905,
0.1741607150549076,
-0.7466206042697306,
0.5210243690312368,
0.9214122914658649,
-0.7568774932131003,
0.9974083320653662,
-0.12782568513660741,
-0.7695165027860221,
0.8336360698632651,
0.9959996884626462,
0.4630904747974862,
0.3999705648506555,
-0.7316504010798043,
-0.17321454619395385,
-0.5831625207434677,
0.8483208488082837,
-0.9568999618631737,
-0.868737816789529,
0.9999990451116596,
0.9977712443198442,
-0.7129518982516508,
0.5150399958000552,
-0.941074628325122,
-0.46074188309464953,
0.6788919328472317,
0.4212140270901604,
-0.947556239128936,
-0.25076487392172,
-0.5540879272617011,
-0.9968109454105865,
0.8775925423257349,
-0.21959686304853007,
-0.9977686824200698,
0.6073082455086406,
0.851799373821407,
0.7521656442611752,
0.9536122615275759,
-0.9234444179142719,
0.13767967288293836,
0.6114412950841606,
0.9310028655710428,
-0.9241933997164309,
0.6796554107039207,
-0.5623147719846612,
-0.6705031725935787,
0.4510124492735661,
-0.1770461779549385,
0.3004422779823895,
-0.9340376812547577,
-0.8499055365538625,
-0.8373793139079134,
-0.6615496093410639,
0.9460379841942049,
0.8991959599080013,
-0.5703744875679135,
0.7788696098624566,
0.5418171511962375,
0.9998462155733746,
0.9850134843658076,
0.40363733347992575,
0.9488023789926633,
0.6336874479679835,
-0.3848168700862528,
-0.9937348673361741,
0.5929038816688482,
-0.8771614229558664,
0.3642329547361873,
-0.8351588665510145,
0.1380768622949938,
-0.9745887488964966,
0.9036600360927672,
0.9455795854766276,
-0.8474763736802519,
-0.9970570795699402,
0.3113427437524386,
-0.3626256020964972,
0.8422773948126009,
0.09338984104034131,
0.727281062121418,
0.8299498246643721,
-0.6079385728233961,
0.7117134151644396,
-0.7344901891577271,
-0.9959301695500529,
-0.3074084019971943,
-0.26827773121485193,
-0.9364970231207155,
0.9568244184027276,
0.9945288650946115,
0.15998269400487378,
-0.9534041996048336,
0.9696218892120918,
-0.11927218874156187,
0.6212399563113422,
-0.2461872129659613,
-0.8933561761612977,
-0.7477364876402541,
0.5611115157387112,
0.17336568516969894,
-0.8033845291152504,
0.9919674021857071,
-0.37945951360634506,
-0.9268453588313996,
0.9579361645347826,
-0.2063483948489512,
-0.21588424791927502,
-0.2537212828255748,
0.8559064050953393,
-0.48832588184405307,
0.29323658294406124,
-0.9268583325215324,
-0.4958079963608095,
-0.761938990306809,
0.07131486708483077,
0.4012270798463691,
-0.9945975421960992,
0.9200458590686763,
0.06362652254475676,
-0.9945868370265648,
-0.7352576933551436,
0.94980479201409,
0.40881113109961364,
-0.28935877129267107,
-0.912558571600576,
0.30752832349659254,
-0.9767394647043967,
-0.8161187756586841,
-0.47640991750446937,
-0.7899265639910428,
-0.9820541243202989,
-0.9872163136554835,
-0.8163050337803204,
-0.02185225039664763,
0.8428052233540866,
0.7978666646408265,
-0.23709553997415397,
-0.9065219228745082,
0.5880037552806111,
0.7964809644330884,
0.3317295999106009,
-0.49830678476111184,
0.6084150690978668,
-0.5071684685076298,
0.8938439384342345,
0.4325196491932373,
0.7775508526006009,
0.944284927886749,
-0.9639237150691129,
-0.942624740240554,
0.7782997074790374,
-0.428443689702222,
0.7323563564180409,
-0.5134168301757055,
0.565988280051702,
0.852279709365549,
0.7259933363012966,
0.30059047200118333,
0.4417369621063306,
-0.435681031519262,
-0.1271874771380794,
0.7619533280969818,
0.4899141752170713,
-0.540634813198394,
0.3142975976601007,
0.8687822800883591,
0.7763425858919404,
-0.7932205502411491,
0.85457584736977,
0.4330332095981806,
0.1045129117065046,
-0.9536413980803705,
0.9385158602324325,
-0.7336163561680971,
0.9569199546213204,
-0.8370534451403344,
0.8201293438826355,
0.9433150796340558,
-0.26621223321336623,
-0.955069617406858,
-0.8279272503894287,
0.9692596280916312,
0.9155138495444688,
-0.9756116625947908,
0.8652749643301081,
0.8832340978348692,
0.6958977438929922,
0.9900180571582963,
-0.9772964840941974,
0.21962668315910894,
-0.3678501316783343,
0.06332625854899024,
0.9100070501574569,
0.8138581772839737,
-0.4922371158366223,
0.968419470507247,
-0.21813445207818655,
0.9705070300520067,
0.5672697461901841,
-0.9985871335664409,
0.83902166203009,
0.23163228238515532,
-0.9560297964690504,
-0.859985300871991,
-0.4642800553498546,
0.6200702687012863,
0.19484561944743267,
-0.19033801019583557,
0.1613415067807241,
0.3813484961951455,
0.3632063751252295,
-0.032156897594317044,
-0.4677214066257823,
0.7271609961652038,
-0.2880425647526423,
-0.0372846177347488,
-0.9541307299255986,
-0.011866867045085147,
-0.9584811195173842,
-0.3511363831529315,
0.9798430948107266,
-0.9610918492467303,
0.9264463876549534,
-0.3156142405697685,
-0.9156162300122037,
-0.8027048286035353,
0.9422297876460423,
-0.9234117013793531,
-0.10929532889004595,
-0.2632321137008285,
-0.5106358806185459,
-0.7634387341906622,
0.9725222606660637,
-0.8059520714379544,
0.5822235819975426,
-0.9975401662926975,
0.9701485575700475,
-0.7446062792695641,
-0.6746700444775107,
0.2690566144248256,
0.8440111370529374,
-0.94441881008609,
0.3328443540156443,
0.6669199586830367,
0.29792186216526373,
-0.9840631966492516,
0.7305236238994715,
0.7524670733728143,
0.8590861038404264,
-0.11408134109878211,
0.38930841711442776,
-0.7194474736550078,
0.1794785945243439,
-0.7329986804505767,
0.980078110474362,
0.04329322934899851,
0.986558689780936,
0.554618786364831,
0.4667321047761679,
-0.20148295462917384,
0.4776627624668792,
-0.9977836334989911,
-0.7842542867599763,
-0.7432249412581156,
-0.11866132426401058,
0.7464628279107058,
-0.14005463676159394,
0.8950340243128736,
0.785336050532029,
-0.3878231192253188,
0.748462746358064,
-0.36920000625014626,
-0.9720557246643232,
-0.28297380174538495,
-0.6076992467231166,
-0.030358957825993863,
-0.583943176239172,
0.34896827053153795,
0.5523335719665571,
-0.9993849831883687,
0.7588142849619299,
0.7393208858662713,
-0.9358057628360162,
0.937533866704943,
-0.5287567880751004,
0.9514668847836409,
0.9999862597414305,
0.6287232887130317,
-0.9742448883524308,
-0.31767542974881763,
-0.5776317454258135,
-0.5363977098869109,
-0.9340005421572453,
0.46745553176280624,
0.7595340192353485,
0.8800629567322842,
-0.9881178743701503,
0.4859882771065809,
0.14930760462566794,
0.9378318357278629,
0.9895679903550467,
0.9937330276747451,
-0.24471332621015543,
0.8801906569175575,
-0.8558681608777855,
-0.9891272181163173,
-0.5231527465958078,
0.9556687637577039,
-0.3128145547095841,
-0.6654499137496851,
0.1391397495856801,
0.9907348342404402,
0.955747610780693,
-0.6895025001959062,
-0.30929865284747704,
0.9974946455304802,
0.9990297240209565,
0.9753666006652956,
0.9355232473327475,
0.07982522636770754,
-0.8560600518793102,
-0.8515236891696604,
-0.6829159560720766,
0.015060975757064264,
-0.936854765029082,
0.7270226912825215,
-0.513825577652661,
-0.9878775471705181,
0.2301606563485797,
-0.22580768761208322,
-0.0788115799797776,
-0.06063447261102752,
-0.8702656501610072,
0.33906732869365214,
-0.14761522512023112,
0.7202215151704161,
-0.5879323136362113,
0.2555236068978595,
-0.8101415841490966,
0.9724669495602157,
-0.5994227669611943,
0.6342864570647112,
-0.6881744811203038,
0.8238075797734916,
-0.9999553474861745,
-0.5113366600428708,
0.23562603614528382,
-0.8323327740439619,
0.1846731588754845,
-0.4197927777540509,
0.9918820295526395,
-0.6044358181239308,
-0.9482872632435592,
-0.6238984318327024,
0.32270035372600137,
0.06741409751776427,
0.09977229020652627,
-0.984583967799746,
0.06596750655272145,
0.9871795556266993,
-0.4252425116184843,
-0.9437527549611703,
0.8159354154390545,
0.9979292582329642,
-0.532781829460062,
0.7966947600267545,
0.12619707644289235,
0.9876263527779322,
0.4073397666543838,
-0.4540628672852446,
-0.9583930464750469,
-0.06326505224963574,
0.6823741798320768,
0.9941016290578839,
0.9684811368514966,
0.8922994937102808,
0.40386472374182303,
0.7157557620452737,
-0.9751478476858242,
0.2056171206379374,
-0.31374513937623333,
0.41464179521553446,
0.9602698986201232,
-0.9991496624799375,
0.9798271868388096,
0.2436196015511616,
-0.6987926106044761,
-0.8915047503814857,
-0.9710202737794026,
0.9540713880115853,
0.8444255774231751,
-0.3999541296901103,
0.983096917750571,
-0.657198727111117,
-0.17622050801777628,
-0.7059412717268672,
0.9824688083247233,
0.9968815813635591,
0.3953600579873568,
-0.7474438190350513,
0.9907790489707868,
-0.8972429479069085,
0.7842830850038739,
-0.2993457213220523,
-0.14433166873313882,
-0.8381401314523322,
-0.6502646965377445,
0.6951281670317814,
-0.9928254064319642,
0.028753174963015007,
0.6425951374943487,
0.9726277424942618,
0.5524257772717847,
0.9354700739667906,
-0.6574335126604296,
0.6281808812558762,
0.8379698240581795,
0.9764948285991397,
-0.2856796395301802,
0.9536591417241224,
0.9834062898711048,
-0.7689999925826282,
0.9922442423495861,
-0.9068674825645642,
-0.5876292381363506,
-0.8718104412992349,
-0.9343777779765579,
-0.946678788702698,
-0.9994442213992977,
-0.8573567829260693,
-0.9736324902275957,
0.7594219391371121,
0.801499285611121,
0.31997399177970154,
-0.038294741411577994,
0.4060800672375618,
-0.5895816031327457,
-0.3209765155713324,
-0.7174305060399092,
-0.9996891434728069,
0.9964033488191204,
-0.9875010322936068,
-0.9999406902697769,
-0.8630015518757619,
-0.00394668851723457,
-0.06334094985972097,
0.40391753386129153,
0.9723787277807462,
-0.9797803051315939,
-0.8869302081428888,
0.6077850994470904,
-0.0730572656481626,
-0.8433564347184302,
-0.9999989962165327,
0.9898750149561092,
-0.5828134511634094,
-0.8312529758839222,
-0.9583792880070598,
-0.06233139105210156,
0.8503041553458585,
0.717755851463969,
-0.8275521551172585,
0.6939217278051356,
-0.14238767013053558,
0.9998532305073909,
0.9190637349462395,
0.5144907677397447,
0.7398488518346441,
0.8279054192969774,
-0.987304482215898,
0.8359971125194118,
0.902775677712764,
0.9669629004493397,
0.9996278300963979,
-0.06307582723943729,
-0.18779052878060543,
-0.987815110990252,
0.45182570185083026,
0.9434506820673435,
-0.7095137758032151,
-0.7615921610891401,
-0.6776661479025734,
-0.517835906138586,
-0.49882463143631595,
0.01946150398317883,
0.9849024321671098,
-0.5438922684794592,
0.9275985899347202,
-0.8764983800888287,
-0.15317287352557582,
-0.8834905836193351,
0.6438065901734461,
-0.2736620249713648,
-0.6195713136151993,
-0.48677845677581427,
0.17533817000859503,
0.5243264221535788,
0.9898457723065245,
-0.07529241187810966,
0.3699316018507466,
-0.6943116821225858,
-0.39139581747778507,
0.05956599893666997,
-0.9682199053771451,
0.06043225287565968,
0.6859285497387331,
0.957360711983347,
0.9398457145183791,
-0.8649183311594782,
0.9417195786487244,
0.9487611326705828,
-0.8427601071796651,
0.9977223927874911,
0.9754076060484982,
-0.4641543210641153,
0.9948150791582883,
-0.9793020767054008,
0.5606057213065591,
0.6888013067226972,
0.18240686479552248,
0.12557248989023642,
-0.7014979984831723,
-0.9644627281055808,
-0.9440650413094699,
0.026257436425386617,
0.854220083006993,
0.8521115598897505,
-0.6692573722741124,
-0.7063349737765682,
-0.6626343289624977,
-0.9955945832470418,
-0.9416966431191252,
-0.8040509120819613,
0.8615904525533632,
-0.012169029796839249,
0.04279190039756704,
-0.11645683579640967,
0.48767057921990026,
-0.19802013455354775,
0.22070435198793384,
0.15918721065042887,
0.8398383610738477,
-0.9233580743764197,
-0.5374570969070462,
0.28050474556757726,
-0.8008724704337293,
-0.4367232936375738,
-0.1292108816630144,
-0.2996427871116841,
0.33552034735392383,
0.8026530532383412,
0.8841242219993434,
-0.8847747031217597,
0.1791754631821019,
0.5966667713650897,
-0.5351863044285844,
0.7545181298338757,
-0.1719372971981393,
-0.7194904036233845,
-0.9997730051507234,
0.9999071451792938,
-0.9155570419247454,
0.9819151138839609,
0.9981704301215412,
0.2240799435187284,
0.11139700118548516,
-0.21521714571107362,
0.9032534815454485,
-0.943634048197338,
0.03229382293581639,
0.9738550320610161,
0.482206591499503,
0.7815504336593729,
-0.9990033947413529,
-0.28914389689064174,
0.9683724511555989,
0.7414297866192862,
-0.17663898363704675,
0.08576909186902264,
0.7432946529498273,
0.9494844855723408,
-0.6947322941653594,
0.9743019604708988,
0.26023272077318194,
0.41409845019716,
-0.975359575845477,
0.2009211920456429,
0.9781870080859898,
0.9454010364519045,
-0.27208998198795004,
-0.5939584514065175,
0.9454067194850101,
0.8109446197392383,
0.1704482480553966,
0.9999453789250561,
0.4972444036110733,
0.32267897928894235,
0.9258299052086003,
-0.9280282770106848,
0.8758044842104258,
0.6823988166776909,
0.8988107542463224,
-0.8442740383987177,
0.15615685314078026,
0.6915786103586555,
-0.6288290532971799,
-0.233116384520849,
-0.5527825353681901,
-0.8326496497564517,
0.3958088550064005,
0.7578689523708197,
0.9652124151459276,
0.7812845827738802,
-0.05374374053615218,
0.7960148225246949,
-0.9565551291146205,
-0.8761161934944832,
-0.9994531600690894,
-0.6697354215290959,
-0.9771116943565229,
-0.8384450533142266,
-0.3513840773871635,
0.8117876257172941,
0.8825767904693504,
0.9257311455623447,
-0.8389519387331855,
0.0248940013466693,
-0.24691201632196805,
0.9908156009474638,
-0.6495781347568581,
-0.7799570445735565,
-0.816047454556246,
0.4664358551596171,
-0.9451767153486972,
0.6692847799199584,
-0.9953853540555309,
0.9185079365899397,
-0.19035871343031985,
0.32750504471685415,
-0.582767706045634,
-0.1804632759656969,
0.8367327630501813,
0.923338089997365,
-0.788872004391332,
0.42251449116807427,
-0.9167199492493989,
0.9138362996123697,
-0.8816157265478055,
-0.7727772166737163,
-0.33641702731661094,
-0.06650038529512814,
-0.21370279325486122,
-0.6486921044083536,
-0.47818353601786273,
0.6311323205103607,
-0.5253459163162151,
0.8780657760704675,
0.791629914311707,
0.34160506534035784,
0.9959847600929264,
-0.9024724675315184,
0.91817417280708,
-0.5393913909121274,
-0.9811535451186933,
0.999984380979434,
0.7055416707730243,
0.6351308410634132,
0.9782808825836458,
-0.4723621286812518,
-0.37440148932348283,
0.23908060642866474,
0.9722700081217457,
-0.7957816307082998,
0.5071503363497767,
0.8080451251460846,
-0.9720626401622896,
0.22814071251352433,
0.20289057799315824,
0.057489497612681746,
-0.9283648881850958,
-0.9809808111577738,
0.741432926052515,
0.2865782771484324,
-0.18271732016757403,
-0.3771452577882221,
0.08899887813194444,
0.99969109796124,
-0.9948919374115,
-0.9935632512845496,
0.40083856236425774,
-0.9513635718488637,
0.8986419209633931,
-0.5104411795522723,
-0.7669504614238181,
0.3669625089307794,
-0.29943806711757953,
-0.5984526055573467,
-0.8802895556447502,
0.30161511077724246,
-0.030011331741325604,
-0.9368491303129871,
0.5517461953518293,
-0.8253425050209297,
-0.21549760894718753,
0.13896238035006742,
0.8551213343233464,
0.4863767249348609,
-0.7139848867469565,
-0.9660988665256846,
-0.5412191812418828,
0.7025746041245304,
-0.4026576726307453,
0.7545714321820124,
-0.36968408451386114,
0.5970248751129033,
-0.9900761692967852,
-0.9796157493995228,
-0.977422457395109,
-0.02432601735191746,
-0.7268776384398923,
-0.9235661655378683,
-0.7109256728607286,
0.9256248707193417,
-0.7870193242763562,
-0.6819963998625567,
-0.8934286407265366,
-0.8432339615123806,
0.7505312124409406,
-0.11112689521225672,
0.4275045415101548,
0.8909759317960654,
0.9549274855115081,
-0.9339359841849277,
-0.41784243254560716,
0.23775421662106536,
-0.8619647695523618,
-0.7595879509785463,
-0.5766706088379956,
0.4860188476879687,
-0.6074938585269964,
-0.7322115851786664,
0.3638198596136081,
-0.9427685549930407,
-0.9428298079015246,
0.32860857053508336,
0.6466159562765221,
0.9855138695580072,
0.20936010609041003,
0.2921864016078985,
0.4066745494280051,
0.4817318035421841,
-0.9819157170517131,
-0.2200888647840489,
0.9345018517120541,
-0.9838578601647668,
0.565415311266272,
0.8593943477855945,
0.8907522209905079,
0.8348271674104228,
0.6591762001816568,
-0.5631858253923598,
0.2520524017814418,
-0.8116479659798046,
0.5560197670626283,
-0.9248092328951136,
0.7990300376460173,
-0.07674667643151432,
-0.8505579620675211,
0.9262914071707699,
-0.4943642817279057,
-0.8876868733068419,
-0.4355727214780117,
0.625300893984112,
-0.241076449206999,
0.7442273126277549,
0.9850770424750737,
0.8953305689662993,
-0.565060676201007,
-0.025615928908288295,
-0.5126461432867669,
0.6090394007751414,
-0.8806205611975321,
0.3118250183913014,
-0.27946187115661464,
-0.35133824822520215,
-0.36458343311399016,
0.9315687582863672,
-0.15754791600783796,
0.7546567596787411,
0.8843214292703925,
-0.753385488447745,
0.6924157116024147,
-0.3568591468101738,
0.9065718558766153,
0.5071520042134361,
0.999876213357842,
-0.8108163170587244,
0.9404704999135003,
0.1167369505718532,
0.5726510299540045,
0.19250971474645465,
0.5684448887843616,
-0.26656025744828976,
0.9736991092272466,
0.8375498321597764,
-0.04504776355870611,
0.8468882574900666,
-0.517143466824493,
-0.2012710518970738,
0.27160166122249013,
0.8574005412646014,
-0.9222398284705919,
-0.7009959242293101,
0.5662537618617834,
-0.9217321856079346,
0.8158521337499421,
-0.2674119798162435,
-0.2511845646712704,
0.6729403010335717,
-0.7847401402793404,
-0.9991467857219033,
-0.6969679896516118,
0.6553656707907541,
-0.9209977590999208,
-0.4493767948106939,
-0.7526131523675827,
-0.7904943378702994,
-0.9943315299093766,
-0.4077121095838217,
-0.0955652552235725,
-0.8830612681025206,
0.018803882910196232,
0.5995045174750906,
-0.8179285655756977,
0.9251077984669647,
-0.43675374790814336,
0.1324895759938942,
-0.8139238326622199,
0.7781791061339531,
-0.2352954959248226,
-0.736086638651786,
-0.8660904881008034,
0.9237691743767843,
0.38688427553775184,
0.9927453665684386,
0.41937191481867464,
-0.40269024184274527,
0.5735080878871235,
-0.9752206630849373,
-0.8886946810485385,
0.9985256773652241,
0.7375584828765221,
-0.8557442660884033,
-0.23690835943627978,
0.0987607213854517,
0.39485073966417855,
-0.9373333908726491,
0.7376461540812894,
-0.7934916962031764,
0.9362345363018859,
0.18774406632554075,
0.3303857184518121,
-0.7297566175164035,
-0.9411087001511135,
0.9572149577858704,
-0.9996642011141579,
-0.9999900745828171,
-0.9631164646096438,
-0.9994152623708846,
-0.13619345716365658,
0.5552943563621472,
-0.8167790407909272,
0.1953354467525624,
-0.1698996016198148,
-0.665944666960716,
-0.976497138726204,
-0.9736470672561091,
-0.9917148175465516,
-0.2599780866155489,
-0.8345007803266088,
-0.5900500826458317,
-0.9886980202278881,
0.6115051221102266,
-0.8427859413465799,
-0.5704385033867811,
-0.9042242258965345,
0.7122731349637966,
0.4758182170342335,
0.9278389522234474,
0.9845154513046563,
0.4492021312629544,
-0.9430687380891873,
0.9231910179258361,
-0.5294627506646502,
0.9957341160159099,
-0.36578212738838817,
-0.9558412184812571,
0.3919281651448008,
-0.4023312680412518,
-0.8453820826684422,
-0.9602224174423787,
-0.9488732806722134,
-0.6874816183842853,
-0.24272310923561038,
0.664867492837289,
0.9957117419269373,
-0.9229433471807298,
0.6256613595785232,
-0.1513636638591928,
-0.12534594337969168,
0.11360071205468299,
0.28914717568877313,
0.45934006982607845,
0.9422867776647775,
0.26318034003443114,
0.7321678508274481,
0.8368366127784851,
0.9740094874190617,
-0.41948802049102696,
0.7375089033170674,
-0.41062068464180185,
0.7220472792163626,
0.9281528762833902,
-0.7286613859064001,
-0.016658952129436293,
-0.9995245110276259,
0.05893987695468093,
0.5750315050240837,
0.6399901896352127,
0.9237864455623312,
0.847916980138008,
0.9378473473842049,
-0.4694529929667567,
-0.9991398170079611,
-0.17966049713550622,
-0.0195139945365202,
-0.8939638995599524,
-0.4269525375859907,
0.013017078148711881,
0.8351817388958702,
0.9542969631797352,
-0.9548657725201746,
-0.9948937728687468,
0.24452371761459316,
-0.5620736451232519,
0.40501425097063604,
0.987349706706146,
0.9734595910984059,
0.8195357155774614,
-0.6916700299945934,
-0.002652374484937767,
-0.7555125911030193,
-0.3215290131491542,
0.34552367770635933,
0.21951080095389272,
-0.6700216406534933,
-0.9481337220853832,
0.9990633085313015,
0.6033661703024866,
0.8988852833871692,
-0.4205167129261555,
-0.5855798150043463
],
"z": [
-0.33959048892040755,
0.05652999162883354,
-0.3286187315540392,
0.16853222287627645,
0.8580463118155877,
-0.8276350274272068,
-0.11320524588765646,
0.7824943804302493,
-0.27236050016548385,
0.7796156963280625,
0.24478350050805786,
-0.3455014088088162,
0.4954907693176869,
0.700022462834412,
0.3940629569473748,
-0.4560193709739653,
0.09893954551728057,
-0.3638530649436631,
-0.7512346215571841,
0.25320395012153396,
0.8196061566991681,
0.682771902839495,
0.46832186724746294,
0.2578105384683378,
-0.640027630344161,
-0.39119187732582783,
0.28918102625425,
0.7054504204808054,
0.5238821541886953,
-0.3603709203627177,
0.420599993636118,
-0.021732530433661745,
-0.8106625715686595,
-0.16797649231875522,
0.35406362395674895,
0.8153016977241403,
0.8478884069736854,
-0.7126848176438292,
-0.2143097525610569,
0.6958514106042148,
0.9571033951992294,
-0.6430206418330953,
-0.5201670665311628,
0.45641889345517717,
-0.9486219308980841,
-0.13391753462462952,
-0.25297608426549467,
0.7813196752264466,
-0.6436165172854689,
0.39289437018271633,
-0.6826066861967122,
-0.09372031938112091,
-0.9326147279962353,
0.8275320260587469,
0.8408998867747686,
0.05591730628462677,
0.8607739684863656,
-0.6761517552031051,
-0.5627519098141078,
0.21281998765347576,
-0.23685493251119016,
0.8417880098049109,
-0.9637844604029406,
-0.3931745560588309,
-0.8576038491019495,
-0.3426515046180527,
-0.79870076544803,
-0.2862302665557268,
0.09496847850291368,
-0.4401746330658258,
-0.40820380616081775,
-0.0978166897906092,
-0.27321532636611257,
-0.10641282659399054,
0.08021545492532356,
-0.7994435916873135,
0.41150707547168963,
-0.18787083440575292,
0.21086056885525428,
-0.09876029595061264,
-0.42186986619029,
-0.6673121525480163,
-0.47321669698381386,
0.28666316419772797,
-0.6640594762640872,
-0.9495294727845318,
-0.6864526548177621,
0.11134032904950497,
0.6559048029814512,
0.1155205925943168,
0.7898407648553214,
0.3253638440721929,
0.4450741980093911,
-0.06542211693177769,
0.6727584533559836,
-0.9152809119000753,
0.5853531492020796,
0.19657954784741216,
0.4678708378298271,
-0.9802195089448797,
-0.11588783992067064,
0.09562518261123931,
0.09761057455781796,
-0.09917531813588365,
0.31184431279174385,
0.6878232576172769,
-0.6145451781434383,
-0.9984860175165096,
-0.5546511301082842,
0.8791707081628124,
0.007869630895175561,
0.7005263975401548,
-0.10474030320344352,
0.30715099264119794,
-0.8989876777892722,
-0.1200751197513601,
0.1796495696434397,
0.6793636145611583,
0.7960441091527515,
0.6293769296425002,
-0.7568172032368208,
0.887322134177776,
-0.8722628384015516,
0.3023126697436094,
0.7856165988157506,
-0.607183956983631,
0.4870215901543733,
-0.8901969517250747,
0.6234802850044314,
0.35668782215575945,
0.20858665989047798,
0.05724830500991507,
-0.672789367686456,
0.8321317382304418,
-0.0010278977019944069,
0.2190377571644042,
-0.28647827975071816,
0.8313285200500145,
0.33794761153518893,
0.14587424117765568,
-0.3716598942946232,
-0.5441227482978788,
0.9125027077164096,
0.049233135097475955,
-0.13341999550400985,
-0.8711827706851303,
-0.9692452246864875,
-0.50781703143401,
0.47470744584087554,
-0.5149048761289243,
0.5477038046351188,
0.12350818441952938,
0.34299985606948735,
-0.5160756046476338,
0.08349457602801635,
-0.2878186035786421,
-0.14653819620703645,
0.11299647653828071,
-0.5225405970402079,
0.8884123332937774,
0.6260846163544489,
0.054135467477292254,
-0.21961076369732724,
0.6785520124316626,
0.9808157057454236,
-0.07611628100471246,
0.03520050367133698,
-0.19429403841677373,
0.25887307145262084,
-0.49776459098728654,
0.016423982333323872,
0.09398877033910646,
-0.7713033153592626,
0.5296607654092833,
-0.08740322996851302,
0.4142975019361317,
-0.23007470251065154,
-0.31204596522763794,
-0.0038854731255297814,
0.7932572070957602,
-0.4381872423288713,
-0.8367188544532702,
0.36903459907365144,
0.8957174966244779,
-0.87358834302691,
0.16112072041742964,
0.4880384533190636,
0.1406098490242913,
-0.0009466209340500686,
-0.33797968368613907,
0.19468488646619786,
-0.98842005362308,
0.10512615999336727,
0.9915108604128926,
0.7236031059428691,
0.09301798532638017,
-0.663622368092716,
0.3889137886966956,
0.31567519339750283,
0.029198390765479143,
-0.9954918037551326,
0.7926988934269632,
-0.1754046936201603,
-0.3331586309269692,
-0.49908161916723603,
0.5335409994500331,
-0.9313279360973201,
-0.17567163955196974,
-0.16043412652979616,
0.4610801510947744,
-0.9575671528674983,
-0.7487512044588389,
-0.29279512863125046,
-0.3609265243309747,
-0.38342560355620603,
-0.3947989373616658,
0.38628004689493745,
0.2881435384798092,
-0.8321761377909229,
-0.36097393450454107,
0.746461118476593,
0.21113650279338358,
-0.78814649786736,
-0.0762413178149608,
-0.33164820302802234,
0.7459052114784965,
-0.9229175755745689,
0.1753059418719518,
0.043896996608074446,
0.22747428054317842,
-0.25984556444629314,
-0.5803946375803641,
-0.3318743428854716,
-0.13663869046109434,
-0.9351851762518555,
0.5052103386487123,
0.07024267035476939,
0.943883345081495,
-0.08016867940394312,
-0.316402927843511,
-0.8568701455495213,
-0.4500820811754973,
-0.6315935749714945,
0.7630928691692536,
0.24188391013046484,
0.010255238285242996,
-0.8906336860775004,
-0.7593387400511429,
0.7608450425050712,
0.2974154266178961,
-0.36774811958925424,
0.8293804831475324,
0.9528915921112662,
0.4618965508233197,
-0.9454925717064777,
0.6664144497313416,
-0.900562354398986,
0.17536417775432334,
0.06930197544710937,
0.29636258432424034,
-0.8158241294881181,
0.7737419710015394,
0.23207296016732748,
0.05181634158441151,
-0.6694477534621761,
-0.8773687428959949,
-0.9707603321853735,
-0.24943176341927265,
0.3180271463538036,
0.6549903784671853,
-0.1491225318150955,
-0.879757336549799,
-0.3434124552936868,
0.09571643942505559,
-0.635005639157403,
-0.374177585944498,
0.7392732111940346,
0.9487876404701931,
-0.25717283071212615,
0.4383374863768794,
0.7170950186496183,
0.050327521751942106,
-0.604275884987933,
-0.8000929289713821,
-0.4391257356442193,
-0.28770281493280425,
0.8297739684992833,
0.5769661379994686,
0.3459098849434299,
0.8775711686496439,
0.04387129817113178,
-0.9003502661821401,
0.21317273154671312,
0.6450107494127644,
0.5542198378208527,
-0.7177938532883985,
0.14808511800912694,
0.511434548581889,
0.9891414364313964,
-0.2669500399597968,
-0.15836689092828582,
-0.518612506331142,
0.27208935233293197,
0.9670857804479158,
-0.46417513318789205,
-0.5394791910084455,
-0.5617846044119217,
0.9056399173743701,
0.8519592033019094,
-0.1659485660004918,
0.48899970952184235,
0.6883600548902524,
-0.334088877176965,
0.8998136934674081,
-0.4585585010865385,
-0.24072284155505463,
-0.5917901875255018,
-0.9464298878183026,
-0.8217970754729398,
-0.47740872954332736,
-0.5860422420474496,
-0.1510436674834854,
0.22750347235293233,
0.8320806306628268,
0.7923862005283258,
-0.5615671585217785,
-0.9243918366710608,
-0.7708601989209456,
-0.06647157714701013,
-0.4026831710416774,
0.8978873155351728,
-0.5020027656791788,
0.48985282188926527,
-0.619270396215482,
-0.3390851640859336,
0.4123097671209812,
-0.13219848549533997,
0.5952373529642221,
-0.6267911626553944,
0.5949858344408248,
0.7210086968606921,
0.47190470448842925,
0.5226568242670819,
0.20628322406267707,
-0.49342272839726875,
-0.32342571593951885,
-0.2520879772534321,
0.0764715894338317,
0.4527508271199654,
0.6026528474437522,
0.26164411225695505,
-0.13161615520821024,
-0.46687938318003974,
-0.9407058051913082,
0.03137172277262601,
0.07285325788446828,
-0.19215106569685503,
0.9784162292856662,
-0.1309981179272588,
0.3143797285105203,
0.2976559000322778,
-0.03285907093316376,
-0.8402363114956595,
-0.8625525530205342,
-0.18718241255134904,
-0.19742029557134622,
0.7799972317635413,
0.5705723890701764,
0.5621610209375663,
-0.02773901176669047,
-0.1677135413185631,
0.2075656724104793,
0.84696733779165,
0.397950698014949,
-0.9877597928917088,
-0.5710703562194657,
-0.6234120975579664,
-0.005726701112381827,
-0.1342117854783027,
-0.060708708204900486,
0.6551553533612342,
-0.14320503028688925,
0.2419615215316473,
-0.9354688042062669,
-0.7465383307323381,
0.07950634616032537,
0.03616587919578085,
-0.560321257483797,
-0.8837513121546126,
0.8271030577252165,
-0.8822148534806382,
-0.2495832632767545,
0.35905935909409425,
-0.131385596578512,
0.9667901789852817,
0.39182094421913205,
0.9046847341952258,
-0.8100056337163848,
-0.9167250265616596,
0.8041974358536876,
0.36860231106262153,
-0.658748601725627,
-0.6896271333689674,
-0.4966749241695956,
-0.8337235940585672,
0.036231556820909505,
0.37596998854323527,
-0.14068412570297806,
-0.8156001396173882,
-0.00009308606474367487,
-0.29188700289393843,
-0.5431076374771981,
0.2633352176164263,
0.9395726503739943,
-0.35457279097141514,
-0.5393473929550028,
0.3042052302389373,
0.7381787964842659,
0.8196959401737891,
-0.7483989543954597,
0.5594739995324407,
0.8300908979230903,
0.5454237756836409,
0.886980722264193,
-0.8468307258558627,
-0.8078417752544533,
0.790789409833764,
-0.6641792370440316,
0.6621177623592704,
0.945903371933595,
-0.6296959900996384,
-0.1690197295177367,
-0.5729788051958167,
-0.8981700695190415,
0.1397158090283097,
0.41257714268629697,
0.6395075079592394,
-0.9843879873360191,
-0.09365185250829744,
-0.27833461715350016,
0.14808188184565552,
-0.9574865363992153,
-0.5695877272478342,
0.622708132188478,
-0.027258332151019582,
0.13385321974180253,
-0.22314668577707364,
0.8902472212562555,
-0.8126181136745545,
-0.4626059926303068,
-0.7716548567710366,
0.2768626067775619,
-0.13777953751428873,
-0.603118123181321,
0.15681922329384812,
0.0022160404568736247,
0.683977418760324,
-0.9660091182680459,
0.07085870193779109,
0.15313369935279275,
-0.8937078009615895,
0.7369957158367948,
-0.022549005749952,
-0.3542537852952816,
-0.5860539022176208,
0.4524143830664853,
-0.08892158082288981,
0.4437600191022195,
-0.7230016372315393,
0.6416209144191019,
0.11226524766213952,
-0.2374107452045251,
-0.8813736871448283,
-0.09627790989395191,
0.8979041226088256,
0.5361171092883044,
0.9749127320369213,
-0.17537344208007966,
0.2999179686404301,
-0.04703736260442315,
-0.006227953975416867,
-0.45128593545519924,
0.36589613891911377,
-0.2250726912176073,
-0.5761305612560399,
-0.5390248939206628,
-0.6737464985715307,
0.9867974981159815,
-0.568265411165223,
-0.6413442511797269,
0.3488550643135788,
-0.21803326885691487,
-0.6356780725886266,
-0.3770918600439528,
0.868539384597002,
-0.5328236748889619,
0.6874493159254744,
0.8433804137354819,
-0.3051595034116552,
0.08658399395050509,
-0.18917660164587824,
0.8630476899266655,
-0.3646540947634258,
0.47578334135521616,
0.08639928467422475,
0.19909244256512815,
-0.2326504014820907,
-0.537050757538398,
-0.5564766202135607,
0.6048445173370118,
0.08941307704794754,
0.17659060135743676,
0.1213005468814976,
-0.4949430072865495,
-0.2741025425725907,
-0.938248351200796,
0.6978911857099499,
0.8438671231398744,
-0.9682572873726247,
0.549921727393305,
0.17210208063219357,
0.664534296922153,
-0.5812423315554263,
0.22084253313531077,
-0.46412134940648775,
-0.7060522992055331,
-0.5326906156671254,
-0.916514883218823,
-0.2774750546470399,
-0.4642282758977827,
-0.298048421819586,
0.2601446226473416,
0.2589023938540367,
-0.6141001279360703,
-0.07992012179858099,
-0.2872510987778254,
-0.8550385682980954,
0.33321483119750495,
0.5916529335659579,
-0.8754480783732406,
-0.1838142818487285,
-0.9953439856117463,
-0.25812741614923174,
0.9859862572066209,
-0.2167452546992077,
-0.6147737251850887,
0.584775134840674,
-0.19713030978065071,
-0.1625136012334758,
0.7050951933094476,
0.42805008332009997,
0.2652673644739245,
0.8203155766368602,
0.999680873181632,
0.9386702869706636,
-0.9629062780612501,
0.45598703548722463,
-0.7335597906813349,
-0.4348728209589918,
0.17468957804561103,
-0.06540219648327716,
0.1693344009605542,
-0.3433243501327521,
0.6069643792775654,
-0.2758251304556878,
-0.9097307258326033,
0.8823320150205785,
0.7814167636919112,
-0.24598705769151286,
-0.5180284089625864,
0.21731925260144003,
0.9566727178817294,
0.618015867624822,
0.9320074573776438,
-0.949147514993298,
-0.8281108812851707,
-0.23985224272885142,
0.12996287146619356,
-0.5552034228341187,
-0.12589206128236952,
-0.5655233635615602,
0.9884585419065368,
-0.9343000004382598,
-0.7484318270780022,
-0.9651742353823933,
0.5207031976676106,
0.6578614259199411,
-0.3085729082322619,
-0.2078841806759859,
-0.36892799920425645,
-0.9544542059155097,
-0.520848903344731,
0.9153489261926304,
0.881145245144352,
0.024923010739991147,
0.9264381720480925,
-0.8278493124548796,
-0.7806533334820251,
0.06889462528064727,
0.7567220085918558,
-0.2401231349486217,
0.8876740845504123,
0.5852132146078579,
-0.6387664524122467,
0.8078954607842703,
-0.17495505074640572,
-0.33607385686019353,
-0.5699260860358859,
0.2745031135178062,
-0.6859184312203821,
0.10323998246357724,
-0.931141504706785,
0.6369764939225389,
0.6805153910254622,
-0.23837258542247852,
-0.08106294116408841,
0.20148874962240582,
0.48430700935249305,
0.9095019023606676,
-0.006339843431044656,
0.33290736520861897,
-0.771192501180572,
-0.13850352159643853,
-0.37060276910407475,
-0.9180478975959039,
-0.5033490251720247,
-0.6021354793514235,
0.7360234078384773,
0.4961514033260084,
0.332190041839471,
-0.771126834407794,
0.8884876208571191,
0.03731910592935339,
0.6925660452665077,
0.9317555454771869,
-0.07269912060674932,
0.4123467274436152,
-0.771884444310508,
-0.7962296095747237,
0.8508380638441875,
0.8672502177550596,
-0.969804484878136,
-0.5186348299801729,
0.39178916024819954,
0.5420293023346001,
-0.3373532265374255,
-0.7184547635029834,
-0.7184917783893483,
-0.9527724224024607,
-0.8569275035031949,
-0.7556494847502679,
-0.5310288919440354,
-0.34310556743377973,
0.8634829966591755,
0.34100397172923524,
0.25805970322210126,
-0.42161243999670384,
-0.13169414508337174,
-0.48158545215592263,
0.5639399800448135,
0.9340718674008086,
-0.8707736869466982,
-0.30455557816719403,
0.3129139822397524,
-0.7006224496741948,
-0.960427449297147,
0.6927429194902384,
-0.38194742017202854,
0.6205168618677734,
0.14446941930521873,
-0.40931989666263124,
-0.3801046945213542,
-0.4400737540450377,
-0.26045575360499207,
0.9694005828816126,
-0.42419734391972774,
0.6623586451612447,
0.42175223506435167,
0.8130089965627447,
-0.2605176343571938,
-0.7355776160738676,
-0.02442034818103589,
-0.9597058937171226,
0.8040018317971451,
-0.7424974355567564,
0.12707815609615514,
-0.6364127321404855,
-0.19503016469434353,
0.9406772374450743,
0.010028182087376436,
0.32412888815141283,
-0.6293661235600054,
-0.9247910805010373,
0.8328605279381405,
-0.05852278232642916,
-0.6924462745897841,
-0.6726585587085943,
-0.682800002244704,
0.5485112675140575,
0.9440706159713765,
0.6850357743808586,
-0.9463016134694289,
0.8482761031366044,
-0.8473289696492474,
-0.9668896364886204,
-0.1830311204575903,
0.7526974484408355,
-0.7074057516415622,
0.8386126954624649,
0.9019747259187996,
-0.5947601105666456,
-0.1859785377649379,
0.0912482327210089,
0.9640254486229878,
-0.891359457032471,
-0.5044956414714832,
-0.7464275643824514,
0.456754332367189,
0.5856877866586103,
-0.9731615978107613,
-0.011517509065079645,
0.4904166765416993,
-0.9473325232336629,
-0.9592111523972711,
0.8884349242597067,
0.7226903723322291,
-0.42802218460670893,
0.18634848642434143,
-0.5210423565492059,
0.7851547653101636,
0.33860191107563753,
0.2730972295357985,
-0.875995723723195,
0.03532297459319711,
-0.8015456536392882,
-0.6498053921862139,
-0.8397543073347564,
-0.0683549214781598,
-0.6369169195551518,
0.986956749928998,
0.6453211265986714,
-0.13328659325867087,
-0.5030487351486159,
0.9836044726025623,
0.6993751266641215,
-0.12996668150827717,
0.17828295852268128,
0.26371641576955773,
-0.03623522629732223,
-0.8201122359718884,
0.9848184122008719,
0.2846986686228554,
-0.7487079540996477,
0.3400641485945728,
-0.41001785177690997,
-0.5150809270830652,
-0.3377205408823192,
-0.9906113136900716,
0.4114819841850894,
0.5352737640603826,
-0.2532884277359204,
-0.38240636916981585,
-0.10012335988344123,
-0.23568581228012375,
-0.7951032283119042,
0.46297060387020705,
-0.6619086903337528,
-0.15983511412318774,
-0.6732444508781135,
-0.9212852097951765,
0.553677683714827,
-0.17780591219226327,
-0.115787578206342,
0.8058624463816604,
0.38389919626235525,
-0.17223503581094923,
-0.9674334077703903,
-0.30192077146869845,
0.0015189756937559196,
-0.7139216263833554,
0.19050620532965978,
0.9152688087657217,
0.02070216217799281,
0.9880300908251098,
0.640118304054323,
-0.048589777362572084,
-0.7597948188186494,
0.5244948354382803,
-0.1437412930317008,
-0.7103796763000281,
-0.7540488757363792,
-0.034514279713848905,
0.1985050926387657,
-0.9400254751280368,
0.27148995652626495,
0.4339691685781759,
-0.33334174038650954,
-0.04195372707929934,
0.8193064116383613,
0.9122397338685257,
-0.031458178118282776,
-0.8873346796799528,
-0.7139712579798421,
0.09139309410337781,
0.1287641392324812,
-0.5242810821991479,
0.42943205101997406,
0.180243359132213,
0.5441516769309225,
0.24774424957820984,
0.5020192344972534,
0.207605418798128,
0.40492461137041413,
0.6985476822907386,
0.9286171652003099,
0.026523774208462747,
-0.8408457963526321,
0.7953663465376,
0.8442342435615631,
-0.8563614634570893,
0.46292505004644013,
-0.853191197992484,
-0.42785578547325054,
0.04574228869729424,
-0.8400301341569825,
-0.5832885095174858,
0.7934709840400154,
-0.3251059406096066,
0.2639111738845028,
0.4413074246674582,
0.6630541453755967,
-0.018189675840901698,
-0.1474679050024683,
0.7610962339785179,
0.8317647038966414,
0.3675602009693548,
-0.17884974165243506,
-0.3087155751774511,
0.17135021766414815,
-0.4629684194196029,
-0.514950094244059,
0.7797489804863251,
-0.14594044639693604,
-0.00821442518842641,
0.05446222125461819,
0.044283689499262424,
-0.4953598694563883,
-0.04898390350843984,
-0.8798685582829215,
-0.10557182407780052,
0.2558337342693904,
-0.37879157240106864,
0.7177942825331509,
0.06763382903227866,
0.49786637902329667,
-0.3842684418983371,
0.26599866532241245,
-0.40947791022345803,
0.9895806532091991,
-0.5920704374166443,
0.014170478542643528,
0.6917734819736012,
-0.25810191236588365,
-0.9240249564682097,
-0.0012246504995352403,
-0.07178393450281773,
-0.034478604380779654,
-0.7065338001648611,
-0.273704519691762,
0.7372432849945334,
0.3895643077393134,
-0.5369307132401049,
-0.4078172650127143,
0.9968636360959799,
-0.7146161574345409,
-0.8185861531215217,
-0.8187275398469591,
0.9787776732028817,
0.05497999155380229,
0.7366455080307914,
0.11760404699715599,
0.89933132196211,
-0.0029169240713460276,
0.07228364507713181,
-0.812342172188032,
0.7269604706952819,
-0.11954191732719566,
-0.49797048594861004,
-0.49312071806255164,
-0.4287190798125078,
-0.7291397274194196,
0.8841549690662991,
-0.6370291258834133,
-0.17303304190193658,
-0.21411978852561875,
0.31687365768235565,
0.09141038095781262,
0.6864909834637414,
0.7109387139488645,
-0.8034623323442058,
-0.7127968264095099,
0.6905969061572184,
-0.10628191325189995,
-0.867556859138257,
0.4522757451823536,
0.11574397510550072,
0.17568939081997792,
-0.03768019717166804,
-0.2221929933986575,
-0.37176925032461905,
0.8480899608680992,
0.9114719774813842,
-0.6818980153910765,
0.7551983363360495,
0.3820457462245812,
0.4278687869617248,
-0.742427672611363,
-0.4540475420218253,
-0.29415222146647535,
-0.03908047020485861,
0.033355661558285066,
0.3138810368311844,
-0.8870363938790893,
-0.9577162175636358,
-0.6134185267411381,
0.5880217511990626,
-0.09340602489520955,
-0.9239767266091066,
-0.3274004011099354,
-0.5442729323863358,
-0.4768853927503116,
0.3620890595022279,
0.8902602787180223,
0.310914056233373,
-0.9972562187541469,
0.2645920791102925,
-0.310791646472228,
-0.23307975854913354,
0.48862256974305907,
0.2942774701646773,
0.35507119076751503,
0.35329228874326746,
0.45246458816590573,
0.9866288763948325,
-0.8677716414494299,
-0.03184000504728912,
-0.5452086048128497,
-0.44257156642697204,
-0.09642359766911568,
0.986955775525606,
0.6295078161560912,
-0.019144535082700642,
-0.07836560747890764,
0.29639407844397714,
0.7332710653273282,
0.4304666538895887,
-0.01604668885193372,
0.895933830880729,
0.840423224003209,
-0.8071384959574492,
-0.25302582882078073,
-0.3895384672721811,
0.5769330487430426,
0.33432067172072966,
0.5798403162339616,
-0.7024330510009473,
0.8016426151433491,
-0.1937296807111848,
-0.9668301234767764,
0.14018566345839978,
0.007584848036588987,
0.7105350200623213,
-0.8793938694960803,
-0.06259814396567265,
-0.7690168967077435,
-0.8245249821378902,
0.5074285891560808,
-0.06712827285490208,
0.6627717554774839,
0.6566354587964645,
-0.8899895899817583,
0.23521149149089604,
-0.9851008017784229,
0.34700023314069917,
-0.9466766025260005,
0.439522984967712,
0.8401350581223792,
-0.656509579161132,
-0.8164155779513063,
0.20770120797756575,
0.41555974848417065,
0.9770297800030396,
0.6654405958569651,
0.13148197639383663,
0.615680489178519,
-0.44036210415675847,
0.3072709977083301,
-0.7052649044747354,
0.2287892402981555,
-0.6018681612806371
]
}
],
"layout": {
"margin": {
"b": 0,
"l": 0,
"r": 0,
"t": 0
},
"scene": {
"aspectmode": "cube",
"xaxis": {
"range": [
-1.2,
1.2
],
"title": {
"text": "Feature 1"
}
},
"yaxis": {
"range": [
-1.2,
1.2
],
"title": {
"text": "Feature 2"
}
},
"zaxis": {
"range": [
-1.2,
1.2
],
"title": {
"text": "Feature 3"
}
}
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"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": {
"font": {
"size": 25
},
"text": "Cylinder",
"x": 0.1,
"xanchor": "center",
"y": 0.5,
"yanchor": "top"
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cylinder_points, intrinsic_coords = synthetic.cylinder(num_points)\n",
"\n",
"x = cylinder_points[:, 0]\n",
"y = cylinder_points[:, 1]\n",
"z = cylinder_points[:, 2]\n",
"\n",
"scatter = go.Scatter3d(x=x, y=y, z=z, mode=\"markers\", marker=dict(size=5))\n",
"\n",
"\n",
"fig = go.Figure(data=[scatter])\n",
"\n",
"fig.update_layout(\n",
" title={\n",
" \"text\": \"Cylinder\",\n",
" \"y\": 0.5,\n",
" \"x\": 0.1,\n",
" \"xanchor\": \"center\",\n",
" \"yanchor\": \"top\",\n",
" \"font\": dict(size=25),\n",
" },\n",
" scene=dict(\n",
" aspectmode=\"cube\",\n",
" xaxis=dict(range=[-1.2, 1.2], title=\"Feature 1\"),\n",
" yaxis=dict(range=[-1.2, 1.2], title=\"Feature 2\"),\n",
" zaxis=dict(range=[-1.2, 1.2], title=\"Feature 3\"),\n",
" ),\n",
" margin=dict(l=0, r=0, b=0, t=0),\n",
")\n",
"\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Flat torus $\\mathcal{T}^2$ in Neural State Space $\\mathbb{R}^3$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We propose to encode the 2-dimensional flat torus in $N$-dimensional neural state space, where $N = 3$ neurons."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"marker": {
"size": 5
},
"mode": "markers",
"type": "scatter3d",
"x": [
0.813443224064054,
0.7952551850242734,
0.19155847657788463,
0.04726810259846749,
0.041778901022882356,
0.9553516955226722,
0.11234452795059974,
0.20067015551075731,
0.6781014029559396,
0.9349827077058628,
0.2051178176185718,
0.5848584665047876,
0.7559558263202374,
0.054622468271702924,
0.1254389983862282,
0.8181109378459883,
0.9512131338134817,
0.589998851030083,
0.7149149090278193,
0.08096739924744882,
0.705540662273846,
0.5833067173319071,
0.12915831074185036,
0.2809920866280523,
0.2912288812036793,
0.9358975808673385,
0.7502040621592527,
0.6851706131934829,
0.21844408052803674,
0.5151941976187613,
0.5178231686655186,
0.2588128162408551,
0.7303093589982154,
0.2558066388352415,
0.35273118165582684,
0.2171697413145005,
0.9304236206416194,
0.8538959708553812,
0.15198390311651586,
0.842712794137057,
0.15230594872650033,
0.7644001741088577,
0.19526775202427596,
0.7313203646098052,
0.3551487710982415,
0.44709693623799046,
0.9452395497623376,
0.7226657714777746,
0.8998132437582319,
0.5358184332922836,
0.25328879798597354,
0.23039823199172535,
0.5078964539249115,
0.5025874921569572,
0.39370111143926584,
0.45415619783750116,
0.807744860966724,
0.43822468387941477,
0.9339491276590163,
0.8980785812538715,
0.2639351786359018,
0.7963234827029729,
0.22505882486437365,
0.9244935902751233,
0.13257972464261036,
0.7295015950782952,
0.7488999727218041,
0.5006665437472774,
0.7102954259816057,
0.82077120895442,
0.16781437522765183,
0.9587182719286471,
0.2904741060822873,
0.9055801230439371,
0.8719164852354533,
0.13848447719180285,
0.9155059333936654,
0.8636992523240811,
0.9356927685912271,
0.2303798259440191,
0.2109620221914167,
0.5208911438226643,
0.7045276167868517,
0.9439346527017716,
0.09489834049208079,
0.1902269736640674,
0.7819898170061707,
0.13810877915139513,
0.30744623812916827,
0.6115135904009136,
0.8213205888213817,
0.08106067877108432,
0.8436624635944957,
0.32904886599369976,
0.893694372042658,
0.40493136709817656,
0.6194823176205526,
0.10770123700264522,
0.1951165823173105,
0.851241902444843,
0.8152747783321557,
0.11941950775552068,
0.5387921686363378,
0.6667682168723592,
0.3084833022267156,
0.14921085104665963,
0.3063437238532281,
0.9060262090727339,
0.9363460252232583,
0.7949156173253892,
0.6200459711668662,
0.9194479125537022,
0.2614591178429938,
0.8790927893918435,
0.9331085326122852,
0.8048157942528925,
0.2924954608790676,
0.7044695369666212,
0.5129017903482048,
0.1513494826250326,
0.8275082774549236,
0.9527385037381503,
0.7593301120824159,
0.22067047497580206,
0.94656755789099,
0.8647618180455446,
0.9277070785761704,
0.8695793280276811,
0.21337001501100628,
0.08448936228000446,
0.6262042926945922,
0.7291262752347819,
0.32648107678581423,
0.5970458524791898,
0.8161443165730162,
0.11607088221967689,
0.688297857937492,
0.17889097766899323,
0.04234791460384786,
0.3747937937889111,
0.2716676748424387,
0.22481928418151795,
0.05448927912098354,
0.5706610479490466,
0.9163110704515245,
0.2113781332913873,
0.8034346719867433,
0.3610934348748016,
0.7382407142841461,
0.8761955989510005,
0.43348446869086704,
0.31604100402618357,
0.8268877018253787,
0.8586149897141522,
0.7229024805590869,
0.3135414973261,
0.1634284298827071,
0.25457826112685505,
0.057764529918983946,
0.6884957259015182,
0.85663841092663,
0.37402562251689714,
0.1205596324269252,
0.798571534321368,
0.08569809643603797,
0.26180317036638046,
0.9305299311113214,
0.8505514283257753,
0.3557671149770738,
0.7018997416696308,
0.7334060615869985,
0.6629731841848727,
0.7006852957763171,
0.9288681709729302,
0.9112344204818541,
0.9558504692084224,
0.9500144419077702,
0.5149279787025245,
0.46090000971881123,
0.7656556840094313,
0.30701877518592213,
0.7389839051620285,
0.8813547780093276,
0.779618244375358,
0.3052499331558447,
0.2970180831961277,
0.936878339272492,
0.47819490677402837,
0.3831330582500481,
0.6149723718797127,
0.8701238718751032,
0.23494889841423952,
0.174725815504988,
0.8551686786205721,
0.8846040982042666,
0.7234058079085747,
0.1044700119855556,
0.7783359184314154,
0.8450795946625219,
0.06099313517167524,
0.12407120922440122,
0.5314275752401425,
0.2828743847957711,
0.2433311426695846,
0.31123743554305505,
0.9482990459319003,
0.8184899979472932,
0.20349330435379095,
0.2573266959344639,
0.9318217129271874,
0.9187074856734463,
0.23642213236166393,
0.29505966473565476,
0.1297136140412729,
0.12936294988795924,
0.38981381418396505,
0.19248115343168481,
0.9272480463620602,
0.7255170749276427,
0.766874390120297,
0.6392921727830957,
0.3755252784274154,
0.943297406174967,
0.18156800161457864,
0.5115044403615908,
0.28655471921327014,
0.10170922251290263,
0.10786177675852661,
0.07174609782157751,
0.08026285497334355,
0.7250087161918686,
0.7066317046015834,
0.7833335274967125,
0.06099181068073965,
0.8191605692876642,
0.5180185081096237,
0.6710952340806492,
0.3139761346199096,
0.9158082836350462,
0.9201758947991161,
0.9222752092341228,
0.9519785656529737,
0.3112557104538424,
0.039937020067755236,
0.8139432500675485,
0.6740718084512715,
0.2828746043039109,
0.05318146126523657,
0.7871728050393574,
0.9579784981778853,
0.062084643058481166,
0.8934037196211915,
0.37346792461504286,
0.9539544932216942,
0.8857704277391115,
0.09515406568006728,
0.7255824029549556,
0.08707484842681312,
0.6061003489907446,
0.045808402282437134,
0.5622504677116974,
0.3265353431491992,
0.24545911798972833,
0.26495934012636635,
0.09455856794180298,
0.49187933169653775,
0.3810559640684347,
0.4353358733639705,
0.948227651232717,
0.08797389214377832,
0.1858202025675716,
0.25092537098915046,
0.46726479080003513,
0.06218837199489107,
0.8997946244272864,
0.7864086235746751,
0.8207964815371166,
0.5383874421306968,
0.6815792127630034,
0.2391472592922244,
0.3622387019273848,
0.7439523833672458,
0.07759012274061375,
0.9375342131671317,
0.42856270794462775,
0.5389695025915097,
0.22432755704306842,
0.05637864828166106,
0.5039103499919249,
0.29104970224065035,
0.2826736993984389,
0.16590904173342266,
0.6625202442559434,
0.12206424504737291,
0.7989520935608718,
0.17797525867682742,
0.6132881144455693,
0.6506759678451588,
0.8365907970765711,
0.7532019782510243,
0.4518996993682527,
0.07487973703146439,
0.46333896035812455,
0.4929768397774605,
0.18520528609253764,
0.5500854553568514,
0.7554857450260153,
0.8278030409725057,
0.787990371701834,
0.1766642600342551,
0.1327784097764612,
0.4385246720245395,
0.53905282011287,
0.8763366780774244,
0.9086114152680563,
0.8731318273400867,
0.26146823827649945,
0.7589409540170164,
0.32391921315740935,
0.33970899419274936,
0.14231843521605686,
0.6122452303761603,
0.1376213417489995,
0.8618109817414265,
0.8376586841507544,
0.9515609429502853,
0.2515785335076052,
0.5505344939314751,
0.5650831270295106,
0.9396023447071337,
0.6563736198603692,
0.3270359845392524,
0.7260576205392872,
0.9439759532180891,
0.7441262544296825,
0.7424637137011104,
0.4997333600983697,
0.5454845382015991,
0.28987947104504996,
0.06388641383950962,
0.16852180521685198,
0.9184467496024254,
0.6405071113284574,
0.34046491812634155,
0.20514736072816434,
0.5952040624791428,
0.6652316289738046,
0.11690287966311302,
0.1332731412412819,
0.7887258219953516,
0.8014658484459589,
0.06525490968851941,
0.9239843372351466,
0.26732512448435525,
0.34692703205176606,
0.24315292839133396,
0.9554319832820068,
0.5491847010843787,
0.9367072696959803,
0.703668226326426,
0.37967790710287014,
0.2787741895944011,
0.5218980189880041,
0.36758392426647835,
0.8084187805980092,
0.42954487799344987,
0.23260058712577292,
0.8404697996975241,
0.8990318489893305,
0.6855420597385185,
0.7760365345490139,
0.8668128634794926,
0.7237191624049185,
0.3138193221375874,
0.10367746943961846,
0.04783219961973498,
0.6868761841318227,
0.08776059001602335,
0.7853018507587096,
0.5798697222402756,
0.6108304269427857,
0.862214815881745,
0.7906989348244055,
0.6079055444918847,
0.042556981301267664,
0.14531058929286994,
0.06634444559048647,
0.8513065128601945,
0.8890204858739977,
0.9440594842870578,
0.4064608022203873,
0.8605446528869697,
0.790557782549769,
0.05341762411109517,
0.3088056098755489,
0.26110778034908527,
0.14149296268369338,
0.30595362763564365,
0.8668118892694572,
0.09439273357959027,
0.9252557460037121,
0.8624133062177866,
0.17503736243715698,
0.8403434013346962,
0.867883372041224,
0.8600197930041633,
0.9578706779446868,
0.07601449233806477,
0.368952678052455,
0.9488423802728201,
0.433152921419073,
0.5233302473379472,
0.039956737447971784,
0.4726472956669291,
0.15658004823354293,
0.4506017115089494,
0.33892631192130024,
0.8508261158493148,
0.4839303911634579,
0.09509459592640301,
0.7627058586687605,
0.9448229326729904,
0.21919144738699323,
0.26368099589194655,
0.6186281161660532,
0.03996455531619677,
0.901082264137712,
0.08849847867418674,
0.07023843346506103,
0.13530760088118124,
0.2342583113578975,
0.04037725553414228,
0.23007929174268066,
0.8283221091697718,
0.4876411186879371,
0.6690774947670978,
0.3112266498840796,
0.7532098291081034,
0.8957525033223732,
0.7135428397761998,
0.8144037769169032,
0.07499750032975687,
0.050503357031152156,
0.3662005569830254,
0.5416135043122472,
0.5604674816577351,
0.8803097825192231,
0.34467183469603435,
0.8743427535299342,
0.3202745573721356,
0.11249988899873987,
0.8036150255629371,
0.2866033705308188,
0.40525619167929067,
0.40804774576962505,
0.050463724893542755,
0.04224270245169416,
0.7872645506926075,
0.17263768319525818,
0.335972853336044,
0.614055890976804,
0.8713289614608544,
0.36398956150717776,
0.9579988599049188,
0.27530209264754063,
0.5292464851189981,
0.21732352826255852,
0.14992517252361312,
0.27403905678902557,
0.7994985272723307,
0.3023755994191043,
0.5670620593789726,
0.14147335533883007,
0.06352744278592927,
0.8166643845726171,
0.11255996945666272,
0.3582955258877869,
0.8161068381474926,
0.275366676024624,
0.5189977327308563,
0.25484695483121683,
0.23796593811782354,
0.29033677068337876,
0.5041805593010467,
0.09980857353399211,
0.06379022101004228,
0.34970126083479847,
0.38714721814258574,
0.09824181804972074,
0.2593238659479453,
0.2082202971600692,
0.35999603387367346,
0.09728448651519689,
0.7738035407304913,
0.9538198905717002,
0.05642799372274035,
0.38306874298655147,
0.22724119935293557,
0.6158454417381529,
0.7941231879881152,
0.2903201866298042,
0.7772176635950961,
0.10421778169670344,
0.05057047666042003,
0.23706129125461528,
0.41979390319043897,
0.18248206835588204,
0.9346324097350893,
0.8577463667394212,
0.20660351677004363,
0.2955855382696773,
0.4840949664283906,
0.6778458718234216,
0.415059387898094,
0.3344890312340338,
0.17434882072073604,
0.7972662790335984,
0.35216161778942373,
0.37198075045657203,
0.7931134206032477,
0.38357879217457774,
0.3391932912919027,
0.32152360619228826,
0.8912534155164282,
0.07885762271930678,
0.692663570616036,
0.9342399507977173,
0.4220705834973245,
0.05539477967772188,
0.754289338594498,
0.2738528431551164,
0.3839182294544072,
0.1468475845400055,
0.9257958307407348,
0.4009957898119331,
0.8954857833314319,
0.7236684429583432,
0.8441883847981654,
0.840319514587931,
0.04764326351318966,
0.6103016231199172,
0.6960668583489632,
0.7245435274817364,
0.917974276168687,
0.05186722619818621,
0.8867098617145696,
0.5381435405959935,
0.34876173359007395,
0.042346014747582116,
0.5512095910351656,
0.41789636376598566,
0.8630951778510042,
0.10518503591054183,
0.3360623382995934,
0.9574899708776563,
0.7282917640823138,
0.2124221958050226,
0.8378963288639606,
0.9138252229973937,
0.11751590310591702,
0.37714000168242096,
0.8644751453914038,
0.2651550591899576,
0.8402216947880679,
0.11737887002522158,
0.9415312716069397,
0.10809168352432945,
0.9563006160632495,
0.7124002268997598,
0.45986126800069893,
0.6997677922912786,
0.4145049598962979,
0.2814954705369555,
0.6703522992355158,
0.7215782135746125,
0.4211060379622327,
0.80100309715547,
0.7191643537129381,
0.8799286454430044,
0.9586049629409662,
0.7651297375965637,
0.36120776561028656,
0.16140301365006032,
0.08130091673637325,
0.2880557157300994,
0.5928423622829286,
0.6072226708901423,
0.7647393261096458,
0.6501236589836673,
0.7481266520983647,
0.06501745083569138,
0.26257827886578017,
0.5338710495372447,
0.4365544338507091,
0.26620477285804095,
0.3362020605350771,
0.6138932729943881,
0.12592879594970002,
0.309798088256482,
0.042936209590241275,
0.9079442858501016,
0.9588672702149449,
0.5693360061848142,
0.6431865696786983,
0.12244819839010056,
0.953059628537781,
0.25946253630777877,
0.32581985890546383,
0.18114057444633277,
0.7746985500891957,
0.15446299515068235,
0.09942134148664757,
0.33088826895369355,
0.15816701290876237,
0.9297533178700145,
0.46654888900175157,
0.5825638720836946,
0.0793735961670422,
0.3688869153845154,
0.8221656899791412,
0.0594460729182912,
0.9598079264873843,
0.27726999471645125,
0.04322763199448472,
0.13952494125309334,
0.1845173747527457,
0.08665913974741032,
0.872574145838155,
0.6106149267618742,
0.2165175390621141,
0.0829929540231244,
0.9190446510140575,
0.7835125961578373,
0.04872279888870107,
0.2562418074029143,
0.6595930763790361,
0.42463494144141567,
0.7227237062551065,
0.9195594164064984,
0.8433575504941108,
0.1401351195873626,
0.942903155511349,
0.8800891240787028,
0.5726919027729985,
0.9266836598658792,
0.8474753101137431,
0.7231241091519099,
0.4023827833736885,
0.7808710403754958,
0.4903816915189248,
0.3277935189836408,
0.07229854338599134,
0.5600260337046894,
0.9364275115123056,
0.7415685854553216,
0.13210764679149906,
0.8501346084230774,
0.2851463255822138,
0.8669778183747276,
0.11027817810933303,
0.6955399514377595,
0.11907278239953217,
0.7264464926621506,
0.7074029694968343,
0.34477177273462317,
0.3626050098799567,
0.44808069385373217,
0.13767932705711217,
0.715053700871769,
0.08573453014945728,
0.4156477962637952,
0.6487014031871247,
0.11167942994786381,
0.7508956451599534,
0.24218735860896992,
0.16183329526603243,
0.550301825849037,
0.2726114917816535,
0.8037665658362231,
0.9358878071632502,
0.09832713998222736,
0.5576921834952396,
0.20363133998146848,
0.8657210378430396,
0.735511176581195,
0.7305492771804046,
0.5941192739821518,
0.2730571117243048,
0.20237861626727416,
0.801528742227191,
0.8007701208851873,
0.7824815173695442,
0.27454623550405954,
0.27920486744459816,
0.3755757083767678,
0.2762321096755485,
0.8310074280604112,
0.8515305899110622,
0.87090490714255,
0.7224259260981015,
0.9308280431053481,
0.15898803995812627,
0.06919402435415892,
0.617377095053858,
0.7894187640760645,
0.06127483193814109,
0.044276805864063844,
0.2710647418340069,
0.3375769033481658,
0.2651925060801497,
0.09745924466863419,
0.9047472494351811,
0.12636621179547256,
0.21866471957753272,
0.08506578716716828,
0.57916558041746,
0.13101520232912248,
0.12171584377321738,
0.2211716699264607,
0.5711684425657821,
0.14615703566481933,
0.11765865280117317,
0.9450827053179367,
0.4110066227258168,
0.06087302865949307,
0.3089834901514866,
0.650910444623573,
0.7932167586330291,
0.47997340712377945,
0.5809565300448614,
0.8234935070308028,
0.498041526753798,
0.5798618225134877,
0.32743609104038984,
0.8530662369290052,
0.9481232534376379,
0.4066222543633515,
0.7929504258730404,
0.25970382243311324,
0.21169254549172237,
0.13883327145305213,
0.6469595626473964,
0.7966918860349127,
0.689498857336798,
0.3850265046670145,
0.8801958844998997,
0.7596606750990057,
0.9300677917202759,
0.8606888541680294,
0.5279581954403708,
0.1350531408449512,
0.9013733304844587,
0.7577696586740358,
0.053482440169604496,
0.8117151267680578,
0.4688688963596454,
0.7843234183339697,
0.05306690645914756,
0.7227700088738137,
0.7913544619590546,
0.9517310148192268,
0.07356447684421355,
0.281426395166031,
0.8354981617097145,
0.08131452113711417,
0.8812015195431103,
0.22666319840395183,
0.20480326158230847,
0.07410099849753339,
0.040259730106333554,
0.35548582814406493,
0.5822599318800189,
0.7737166791948518,
0.35652053832539454,
0.4019839617754002,
0.7635847088674106,
0.043355506502976635,
0.9408638287897606,
0.6124898964004295,
0.8323650369900704,
0.36679743487681443,
0.11751728313969743,
0.1310461005186498,
0.12557140716428053,
0.05668027653335238,
0.7965231641921106,
0.5516185154483737,
0.658764246799772,
0.36479028780919115,
0.06929602410531212,
0.8640978448571758,
0.37083341093043504,
0.14087672945317514,
0.8250603568418421,
0.49074220619776104,
0.30566528220194544,
0.1366318087982746,
0.11502929469999952,
0.40409638484585453,
0.2594656478050983,
0.5310165536627884,
0.2676047431676455,
0.9019368707108636,
0.24019442691122678,
0.7273587062825502,
0.9571798392000247,
0.28890467217888266,
0.4594100463457483,
0.4876437027409984,
0.4110880544590347,
0.3918110635419718,
0.45323088920206783,
0.24434275565939753,
0.6590365678823089,
0.4995294259355265,
0.2359355108278357,
0.7144264866083928,
0.10179842480027657,
0.32638581595709687,
0.7444191227438203,
0.6942766638923212,
0.7882906622853356,
0.11967612451287472,
0.9014406268107957,
0.2820750133915819,
0.27533996881049144,
0.854605575428439,
0.7772003846277717,
0.5690487869433999,
0.35370460006604865,
0.816748303922421,
0.208980335389194,
0.9497941752619136,
0.9414273803895747,
0.34868593770471135,
0.23993386018386398,
0.8990223356006957,
0.751812243411618,
0.8879293901647834,
0.6840668554303563,
0.07311915895612586,
0.7050866237833193,
0.6095424191850671,
0.06158944543641433,
0.4001170837465613,
0.27158212204219695,
0.7667665905977274,
0.10098051509045135,
0.7589919895922826,
0.10463327548570409,
0.4316853812439877,
0.8047622776914184,
0.9458968395062729,
0.8942583364479597,
0.5645550539035634,
0.2332627976166402,
0.8329573389034299,
0.7779491347986782,
0.8384713513301342,
0.4186308565049934,
0.2686829549010405,
0.18656584481478186,
0.1962270473915456,
0.889239939640681,
0.2651860973345257,
0.9242385394525194,
0.9138887264014909,
0.3051832091615527,
0.05844407817958298,
0.8125502797555012,
0.17381834981386576,
0.9541034190751845,
0.798183190953447,
0.7620796517922355,
0.11588215254272582,
0.38745478090516966,
0.08048125243929431,
0.9570731357222663,
0.939826962931941,
0.8805513390303027,
0.9222511849275014,
0.22380530466836396,
0.5939144182892168,
0.4619950868202408,
0.1473424676507567,
0.9342067045347213,
0.8969737868107628,
0.9473635827902217,
0.22833295288737288,
0.7055221388397978,
0.455605482278762,
0.21411079949245482,
0.7727681287756498,
0.9269215011145404,
0.41081838621267436,
0.6026870930054283,
0.6289941371805978,
0.4811129801970563,
0.14478703998967746,
0.5331582698935613,
0.10329458608320859,
0.9214890044159574,
0.307141304205588,
0.07949731152734456,
0.8098826029048194,
0.060612079472132756,
0.8787826365074175,
0.8381193687704873,
0.6447846288472513,
0.3703231103294669,
0.7440160023781346,
0.07508563181204238,
0.6405419055956202,
0.8226471119034969,
0.08910850073927057,
0.9168671095813531,
0.9403996586930548,
0.12118478090425755,
0.7450184519396494,
0.7764963643927985,
0.8669810056101742,
0.9255918540262256,
0.6579660671997699,
0.28167961150054605,
0.4443843145132312,
0.7442271127377351,
0.17632000157578556,
0.07435857442354138,
0.9480688552273226,
0.41652779666851053,
0.25636310655951927,
0.22505835280905315,
0.38450115008756525,
0.2091497755145142,
0.5821677411933778,
0.9516787296917831,
0.046774640983482316,
0.6506914029018708,
0.23535588040884356,
0.7642199907940621,
0.5401642200705499,
0.9422993567519902,
0.5781035769352664,
0.7417131081863195,
0.8658259251307804,
0.043407498381616144,
0.16517203848383608,
0.4709567107307963,
0.11095203486413814,
0.7003371960356469,
0.6642459063866413,
0.2139865585364519,
0.5021135733831344,
0.1840339421208266,
0.6464301519458654,
0.7834094871796596,
0.2756843939915292,
0.3252719646494268,
0.8600564018870438,
0.5536340613236482,
0.09685091660969136,
0.09583382009239709,
0.8210110169002425,
0.05439892308053319,
0.0468743097913719,
0.8105402378560299,
0.6611474271192695,
0.9367265991248184,
0.32322539986346766,
0.2321479277934991,
0.23189990368726365,
0.12556622165616668,
0.15690538601544543,
0.5349388259244386,
0.0923337780231556,
0.10310606503346656,
0.049988416286116936,
0.1633613327044722,
0.15269103145591095,
0.4644560952032739,
0.46168341769552046,
0.6845159700200978,
0.08104308064239982,
0.259657486346755,
0.7610638505825604,
0.5651721464822064,
0.2452105474406399,
0.9508397897489415,
0.7317757190380613,
0.3296156405144701,
0.05477452883102605,
0.9322909763190734,
0.5971007759297001,
0.26476204085234994,
0.7069388978701616,
0.05265213451041248,
0.8733341306919452,
0.10584908144225405,
0.07355002201365361,
0.43014752327602174
],
"y": [
0.33299920747725975,
0.1490875065067002,
0.47748295869111956,
0.8515522463012789,
0.9410454208739397,
0.06294512975401288,
0.8396361844115322,
0.1629506033258629,
0.4041607456425394,
0.09271925769759348,
0.2200663464414328,
0.3114134155719498,
0.3740511222751123,
0.7942884306209976,
0.8773319200398357,
0.17138500427437137,
0.11219522631439809,
0.22228242211905566,
0.800042583600417,
0.9562041353403131,
0.6399038439944204,
0.38520090786859235,
0.7566993469074556,
0.4716249376702358,
0.8622201418215806,
0.11180625558946386,
0.7012150654380648,
0.809652605762083,
0.3722632321144627,
0.09247170546305919,
0.21053889759297287,
0.21284375291999008,
0.17259233611150368,
0.939722663215037,
0.08795236186525901,
0.42986505543711084,
0.20688600523322923,
0.09795467016054325,
0.8814659804752925,
0.33059693356906855,
0.7506025082442721,
0.04778685904990236,
0.9187196748956118,
0.802956594943486,
0.8315393337004813,
0.9371141810953483,
0.17986528120543505,
0.7524613391805877,
0.15272348388013912,
0.4385248920723259,
0.2539266008317333,
0.24729827856389552,
0.6990294296377915,
0.22227338915198097,
0.45702994705294375,
0.1510869215160857,
0.21257559763896838,
0.9342751551873386,
0.07103194039623369,
0.11295560386996494,
0.14979291779535142,
0.6645618546491531,
0.7210049623537288,
0.11451697259217548,
0.30451159488720414,
0.8127808731443998,
0.6435479873120923,
0.893576367412038,
0.8904285359838319,
0.42262508553328576,
0.4453670534296827,
0.07503741331207898,
0.8160287686044494,
0.49466533341635927,
0.5447988918654313,
0.6899794050569904,
0.1318735548762272,
0.36239154631942067,
0.08824515074074099,
0.1348931229835616,
0.8498129021307131,
0.7619883798476583,
0.7536053695662654,
0.08641420378561712,
0.9379765496863205,
0.8480913800966596,
0.8589053549883211,
0.9075426807653035,
0.6961379253715481,
0.6149548379692852,
0.294257569741039,
0.8797055379274765,
0.6917476157452644,
0.8944586085803002,
0.07648589482696924,
0.2552444048501363,
0.27453178956017954,
0.48267348484367734,
0.828641104162784,
0.07588493859520903,
0.6846536204182323,
0.9294372521959139,
0.35041452316337957,
0.7906957733020861,
0.8773446658039409,
0.7420671888935628,
0.09747540792191231,
0.3605834382081318,
0.04572652093676426,
0.8381185857848444,
0.1972458173012138,
0.36585591957294805,
0.22130173675489964,
0.45322597327487313,
0.24056465209423442,
0.2962474332530203,
0.8914602603794696,
0.8792605548376723,
0.9285506321037164,
0.8142817654378197,
0.43642226329104783,
0.1064441042505482,
0.6842378918670163,
0.15414251133796097,
0.20563137205302032,
0.28891825182544334,
0.04263394407089463,
0.04300437268119336,
0.9277444186852524,
0.5467380764956279,
0.7800867544993206,
0.4725014197739383,
0.5420329896453191,
0.07304917683715832,
0.2124484652915816,
0.3799203703273542,
0.26476094255101434,
0.658021294592146,
0.9313170733497045,
0.2540516814148455,
0.4973845361854068,
0.8480350891209145,
0.9445388771862514,
0.7655641730960511,
0.11883952102173292,
0.24408391379186983,
0.554061316126944,
0.3345096810820544,
0.7783184327217563,
0.18441314432341468,
0.8110962454799745,
0.4051519117410727,
0.7687054095295954,
0.7079519031649317,
0.7638403897093548,
0.6924098845483773,
0.5907628674458413,
0.8977081539145637,
0.8720328565985613,
0.2632746332112076,
0.3295668789396537,
0.6699504608125684,
0.760450780470885,
0.833250534460273,
0.8678064952436956,
0.3054066662499071,
0.2088761875385579,
0.7155879143804293,
0.6667287747633335,
0.20154307999546492,
0.19936224451654555,
0.3900457159932977,
0.8036639979477443,
0.043075586412916825,
0.31781568863363646,
0.07410047689458377,
0.047066848112447796,
0.6024123043587418,
0.6754709586639422,
0.5101938473836553,
0.10214430805185762,
0.7796328837625689,
0.15823679543853933,
0.05672941354689893,
0.8341741186298416,
0.3125560944322006,
0.046369212229241015,
0.9251671840844071,
0.9362699478868023,
0.8254086905776942,
0.16678756637229214,
0.3119478299353772,
0.5450573483718268,
0.04300431396474852,
0.4592097838108313,
0.2899453375641743,
0.9493236012847782,
0.07282687134623995,
0.4199916346198766,
0.8846057043985431,
0.6152820021652182,
0.7363717853085697,
0.6979364969377047,
0.8424425012176582,
0.7075796647288501,
0.0613788182754744,
0.1978493251919746,
0.16370668001364705,
0.1141129047332208,
0.06758471583726877,
0.36436611486793485,
0.30790442560713144,
0.15124417428051698,
0.35268373409788595,
0.7229945531738724,
0.878475998598169,
0.6060995817084438,
0.0645141652492885,
0.8920202798458544,
0.8719019210658583,
0.2571823190093274,
0.18020771069077152,
0.08114716931618504,
0.5408289239380585,
0.8206807901641137,
0.19527778426550205,
0.8629508024913407,
0.8700840855960273,
0.9414508224727938,
0.8994219122885765,
0.6895720093076825,
0.766450564145575,
0.06615179274824458,
0.9143772055011512,
0.4412048417362387,
0.7170823727665733,
0.8459085549652684,
0.7882639813946842,
0.275213850405375,
0.10827299723034672,
0.11917754770654976,
0.04800146556202973,
0.3983391781276879,
0.9344670102148243,
0.6245978175849128,
0.6847730638864398,
0.521525352147022,
0.8288054666651655,
0.5610395119353079,
0.10151198085346405,
0.7570138762634944,
0.14235206185942345,
0.17382721407388962,
0.10320313972313404,
0.1471018651388298,
0.8360888049752297,
0.8772601927581025,
0.5790355932829631,
0.6678858259088939,
0.9486309860141022,
0.17687620016465527,
0.8527864087118816,
0.8457806857092856,
0.2152862069872836,
0.8832148325279182,
0.07464026698987158,
0.7019159678730913,
0.08444199302286588,
0.07587475684826751,
0.9277219980707908,
0.7531907229689704,
0.31957537681939185,
0.8097563107614859,
0.7139026370270019,
0.04200765474895498,
0.2774116518076022,
0.22650753684087924,
0.20665717203605896,
0.5122850491385647,
0.4390113950350116,
0.9460786976137261,
0.8847045696908465,
0.9020425040511615,
0.10246131761341612,
0.7741556233399841,
0.06172418619868097,
0.8196566892510169,
0.9360536138776037,
0.8142094136206287,
0.18307339301067904,
0.9277647192533822,
0.7417346684217698,
0.8938525223515175,
0.3729739129122918,
0.8165053195547557,
0.569170107168709,
0.1943788615359029,
0.4545648448226299,
0.7423419866710869,
0.6757123910966228,
0.221321773544046,
0.6396230896394525,
0.8155585711622904,
0.11391741461326335,
0.8402604199879258,
0.1739301435420148,
0.6880882606771741,
0.44374764265819855,
0.23339888493782288,
0.34150016159390867,
0.7229867352189234,
0.922729696354851,
0.32802720623212184,
0.5169042267091947,
0.11001516793721863,
0.6696169454732858,
0.11178934356562162,
0.4376863816525857,
0.48474099600455267,
0.10803132042580042,
0.6765103418785878,
0.580007993458561,
0.33885374057067796,
0.7010116997134027,
0.0452233173149919,
0.08417699905404015,
0.19323589253800258,
0.09349088924032405,
0.5777079208530622,
0.08428478193866829,
0.057080469874258695,
0.8958720588670699,
0.837141553054034,
0.055314144750535206,
0.6850115187695082,
0.05428117199555018,
0.8357984681739445,
0.8234951819279556,
0.11633922224817464,
0.9304442617159543,
0.8272481573078124,
0.10171267187303472,
0.736438244440349,
0.1322357585102019,
0.9037190669662402,
0.2584247297372499,
0.21389030382239066,
0.8564541576585902,
0.5811273464920123,
0.842274626534281,
0.24657717815078234,
0.9088673816804566,
0.3841284546186582,
0.21347718387319917,
0.20326219555491623,
0.4995575098311122,
0.05447884263722642,
0.44915493919438093,
0.08739572793158507,
0.8978320254394102,
0.4149781175011649,
0.9306611354503455,
0.9333973042661562,
0.9453486686037179,
0.09413493742756869,
0.4042191696145808,
0.42862828795894004,
0.04972584446492384,
0.12251815225696858,
0.27488046267697414,
0.8653024483849541,
0.14988815563777177,
0.866465757583539,
0.16753698122163604,
0.8721956025203249,
0.8697709037229739,
0.4880420016314288,
0.578967739493552,
0.6078117444633173,
0.1820822562443332,
0.1877987908456344,
0.10639498192496524,
0.5810724001083094,
0.45980445099250083,
0.9216856205678953,
0.8235578406409498,
0.7310728287079447,
0.05013250282823394,
0.12043442024314785,
0.09893817208653537,
0.4262412947995836,
0.04598482530209156,
0.38505395812111626,
0.8884653304963436,
0.3248815554473606,
0.8480459269768877,
0.9571139059849901,
0.24357522576347282,
0.6939055961285752,
0.8703425794436235,
0.08079280729803069,
0.10556524248244452,
0.9435653971633671,
0.08247197406547882,
0.04860721084066068,
0.693324702385926,
0.056830782065676336,
0.8885922440216266,
0.6324382065559979,
0.10244526141150999,
0.5041428842217174,
0.9326962884624085,
0.9232513764237714,
0.8996862328837804,
0.8102769637170611,
0.12189956416032273,
0.9416169159588945,
0.4361369764919902,
0.8432044564132386,
0.8785199009393105,
0.6921522933696238,
0.04534535478534367,
0.9167429442783908,
0.536230458330816,
0.17594946189253416,
0.9373654205457491,
0.16926013871432996,
0.9557266739359969,
0.904666011009895,
0.8511965150587011,
0.15216109281290435,
0.9361683411950888,
0.37114661604057375,
0.8013530769578474,
0.9151895631840756,
0.6672916654070157,
0.10833339613920037,
0.8778048641936379,
0.1125763176147189,
0.8611187204343682,
0.14055094682680744,
0.7877324146046056,
0.925135286220782,
0.49730665631345156,
0.8228013063155113,
0.9290816445224814,
0.043701144300366576,
0.3718300739786144,
0.04775743954220503,
0.20547297683124802,
0.4244064442017144,
0.5344216135182108,
0.2580239683220787,
0.8192945577989541,
0.8264808550412762,
0.8247490422912968,
0.9409523271659429,
0.5854045221525465,
0.7133898761839277,
0.7069368464779371,
0.9097987211212124,
0.15047852827093017,
0.11298772517477425,
0.05710903531396031,
0.15501473536482102,
0.36300183267371483,
0.7470522077210231,
0.9311408834696189,
0.11820503969170983,
0.21161545027129808,
0.5331539325301572,
0.24284962833971643,
0.7871752245914301,
0.9124878095230887,
0.3787794627370878,
0.9126658818125453,
0.17864397642148247,
0.33283665079503644,
0.27573589886295397,
0.8126532155924273,
0.949295754901451,
0.4012787545078898,
0.9407517213815333,
0.5398070184734184,
0.9579057339932585,
0.8050197539235944,
0.4887873504335731,
0.22241236147193605,
0.47617330262623636,
0.41399838869226374,
0.4190874348046062,
0.28268898918407237,
0.8379931358099976,
0.5852015050454635,
0.12081758544535644,
0.9438173330286752,
0.0934261781359855,
0.15873049593238883,
0.9059718750578942,
0.7475866348366099,
0.8375271621777738,
0.6315480908898479,
0.8379202440426063,
0.9276491946879507,
0.12517528243009066,
0.07339124326096008,
0.5995328300899614,
0.08081826392061078,
0.3254934988608389,
0.4584527410632256,
0.14174956361249968,
0.9165101108105943,
0.9063182096992023,
0.5897904592675349,
0.19607750465235882,
0.9558170480953165,
0.7756477742285892,
0.8432194326668865,
0.08089948328937646,
0.1828738072172166,
0.9043893718007983,
0.7391739787732591,
0.9414896129567888,
0.12035444702477842,
0.5800541671610786,
0.050816048346473484,
0.06697780677351653,
0.19744689056270953,
0.9079568105828263,
0.7862243026315078,
0.33649623530275946,
0.5690371919101977,
0.6649279081383291,
0.06263812282616736,
0.8870594676381468,
0.08291667343061757,
0.7708525807157092,
0.2977661986430947,
0.35932915621852085,
0.8900321096825051,
0.8176815361193497,
0.8358812601604599,
0.16376632712004233,
0.04217896043650256,
0.8613304929266431,
0.04221466068771193,
0.15182881743733714,
0.7465238606640837,
0.9099334709193787,
0.7512983026701361,
0.10159021816557502,
0.12690529816282517,
0.8786284558349231,
0.8554816715580431,
0.07034868927948415,
0.8693244896414314,
0.3412820057425579,
0.25041308434670567,
0.04281789618209464,
0.7670011887943038,
0.1791338614463889,
0.20399391195405903,
0.7284333907548137,
0.5478698708593137,
0.43947173639503867,
0.09091871171432979,
0.857563715756934,
0.05507051553219267,
0.1204528857832083,
0.8972980146202619,
0.8684781572185543,
0.4753644397520756,
0.1715261300945916,
0.7736239785348257,
0.8807354018612253,
0.17955821442396375,
0.8136183627030164,
0.8441410004115741,
0.14188600116315825,
0.05722180988448495,
0.6850961652078881,
0.7979260117520536,
0.55802989785505,
0.9574992090816139,
0.125038374975462,
0.5449213249037598,
0.16976050316312383,
0.8238651307179848,
0.076229505003531,
0.38646708153158604,
0.6887907873442882,
0.16260213648984048,
0.9194515196502541,
0.9406914934934641,
0.237567449316683,
0.947441838113027,
0.0952655932851053,
0.7491307416452253,
0.6833219954976064,
0.9294369610234962,
0.11904813142867329,
0.06114665923670581,
0.9238132005198441,
0.16835928733140848,
0.9496265610530864,
0.1258431973223642,
0.11682399497881195,
0.17116604841384647,
0.20850271900142606,
0.8325046818504533,
0.8623495838416941,
0.45022968419234866,
0.5402832306067452,
0.9536874807202399,
0.3519624235539902,
0.11390925819630772,
0.18085315801747412,
0.5850531574027602,
0.250209007148088,
0.4363386455192544,
0.9239669601454237,
0.08114177878387284,
0.2183658849668592,
0.9480777525771833,
0.28391636390423514,
0.8790046101319158,
0.5574706876560381,
0.32474101633332464,
0.06189694093662296,
0.9162875383347491,
0.7617081741921891,
0.1759803528321779,
0.678936889143813,
0.9201826907371291,
0.5004090853541462,
0.8273213291211573,
0.9398890132457938,
0.7663265734178449,
0.14233353350275388,
0.1446330723993967,
0.28034609042841346,
0.0500394127153018,
0.5368174492554331,
0.8213347952918967,
0.3651686446974651,
0.2948111025984865,
0.15866690480693357,
0.22607990567653127,
0.2311583348216432,
0.20108378957427736,
0.9146751670172368,
0.7041020701117906,
0.8828315507421731,
0.11403618044346417,
0.8312992179454857,
0.9573627846503563,
0.6511777578510869,
0.1686691922895335,
0.0754643347366342,
0.9021418545195485,
0.0586845736514948,
0.44262804496278835,
0.253715678123977,
0.8181960799395183,
0.4045221119906795,
0.1831153206446515,
0.44432716327392874,
0.31405931820065297,
0.7183071891134042,
0.5290712475741391,
0.2389680712059899,
0.7484592774638477,
0.9017193301136835,
0.1557424597981539,
0.5490433361003687,
0.8655778170042008,
0.21176720733956927,
0.2727765421376591,
0.1953063542910116,
0.09328294023443104,
0.9576870431087143,
0.7484236849238036,
0.7782484685266057,
0.4375394294254343,
0.7572177173706885,
0.7420776137848911,
0.8792492316433015,
0.12438830417452523,
0.2252218401090228,
0.6661237402440715,
0.8270222127470186,
0.5437055884333271,
0.13521994368326432,
0.6719579448372682,
0.9266173545829482,
0.15461066298809772,
0.04452382787478116,
0.23304218892272735,
0.6528563013968249,
0.2580300553027087,
0.05462573417953044,
0.5733915138184491,
0.9286820719964314,
0.18191386371496357,
0.3957176993802319,
0.9450751762473435,
0.9340241387449678,
0.29406556660061334,
0.43228125652427224,
0.6158502722221179,
0.8860680705101761,
0.11896227509074893,
0.9155215134659149,
0.841004492018583,
0.8947226372764051,
0.9202375713582625,
0.6613898636342465,
0.5848763236694137,
0.6637638008820707,
0.2394549342092468,
0.8676708922898668,
0.9256966638531116,
0.16886442342950478,
0.783130165601093,
0.9550342616351245,
0.5481817364703658,
0.5774431379760171,
0.5722562066320465,
0.9356574978136695,
0.08339520694664997,
0.6778484839132866,
0.14779509192507367,
0.9241501605169007,
0.6563294259022233,
0.6976821288212275,
0.10952907991084905,
0.07915029122158303,
0.8242262095906104,
0.12846300955510606,
0.14929971351864615,
0.8944896349168758,
0.3581080905794473,
0.1447142363462724,
0.051671158090225926,
0.22244964057796374,
0.08418198742738595,
0.6293824680242208,
0.21358995609863213,
0.3251397633854271,
0.29802119019317475,
0.7925815310132633,
0.11323175058798561,
0.7155330425369948,
0.7979971411595083,
0.7261561312553793,
0.16381040377035655,
0.8524128335094936,
0.9218559375726476,
0.8489023003674265,
0.2809122458413489,
0.1180989279945693,
0.8618341429170053,
0.7804130253462249,
0.13647655880502804,
0.8721592260311902,
0.6117996874122739,
0.9187138186100663,
0.4395077871748497,
0.7034547811298285,
0.9328431974699244,
0.265162229526419,
0.17226283902247636,
0.777346355437585,
0.7725920702160726,
0.312712840116803,
0.8579617996256085,
0.9466910684580713,
0.09646777596561931,
0.092424980105619,
0.08822704970220108,
0.9214797841212415,
0.8336799544949411,
0.7646824367157322,
0.8247620639032903,
0.7926980045235172,
0.43735464767601306,
0.9125381044090731,
0.41071109634771424,
0.7445378923193743,
0.9054269374996877,
0.7158467352039262,
0.5137365053148274,
0.8324096316738332,
0.046035415265209614,
0.18655237887781217,
0.1711594975696714,
0.7338175326344359,
0.9324914941909415,
0.07855295594741822,
0.11305338602361618,
0.20227965347398688,
0.947678281439751,
0.2325216450346943,
0.4125613871702011,
0.18313871045464453,
0.10827375000585776,
0.7952369213631759,
0.9357271623573923,
0.19707391673581265,
0.21205610786583307,
0.8813731670413358,
0.48192513576234874,
0.28520640187411384,
0.5821109247459815,
0.1223581721636982,
0.14662461603184176,
0.8399618817133203,
0.44241762904541154,
0.5207666057524787,
0.21929462792184976,
0.5590364756339327,
0.5692114316529961,
0.784093052534501,
0.5529819198268121,
0.1828622687665333,
0.18305054067761903,
0.04545226677128536,
0.5696398721489012,
0.9253433909352349,
0.8176707429235283,
0.8118522503573549,
0.15127451505156206,
0.17323884180638555,
0.04640505865384181,
0.13474388913973046,
0.29150205724367634,
0.05697633851870276,
0.36347854602030666,
0.15106959459516256,
0.34878241823031847,
0.6299214825678457,
0.8249665635073327,
0.17000241492976145,
0.9525499120967966,
0.8144212038155825,
0.7912112358972219,
0.2516229486390791,
0.8758782005164647,
0.7098805887316955,
0.48607305602039036,
0.07909993248207887,
0.0697763017018238,
0.07686870354067207,
0.5405263069936378,
0.1227751340389661,
0.8879835681781657,
0.7694590031807489,
0.4833837627454055,
0.3030793011938518,
0.22252368210509021,
0.7528312234088498,
0.4852283867028528,
0.8385134604846962,
0.19321011678552893,
0.14027670688172203,
0.17609200628950594,
0.05916706275474093,
0.42391243797612527,
0.7505339851457445,
0.8084109008552821,
0.2656663212530645,
0.13799425145391117,
0.3827349715152687,
0.4871245330540372,
0.7480778481114552,
0.19796558952356663,
0.8931309250574213,
0.0933030923957743,
0.26821862154387394,
0.33419667478910536,
0.2852833030411305,
0.3756638854802191,
0.12921677147888433,
0.17897283268170408,
0.677236697033943,
0.08452908868779242,
0.11531750037337983,
0.18026311395696235,
0.9527107140304975,
0.45068748818958965,
0.0874362820952001,
0.7202200609453218,
0.08890559135860308,
0.3740356486283967,
0.7330576742249378,
0.891928474925591,
0.6202818258870223,
0.2379918612085628,
0.8168674145336912,
0.06191724522885183,
0.9002068589332802,
0.40502522751270903,
0.9374732949222448,
0.8877995419635223,
0.8227806265005486,
0.8632056079549927,
0.1315750618631352,
0.34115108546273276,
0.2634397288452066,
0.9233438412689488,
0.15423170242043005,
0.8984604579456567,
0.21585787440200163,
0.4420462909228439,
0.8842538704576397,
0.044199341098302494,
0.04488802645289244,
0.5198950406626458,
0.7511193300223513,
0.557999139867004,
0.07256458367101878,
0.052930768480831294,
0.13120483402866434,
0.6423664643178516,
0.7164406974280451,
0.6871133099966491,
0.569273188241043,
0.718504905616609,
0.05741770824250752,
0.07815768102887799,
0.3190601010746979,
0.9235448328837839,
0.25002606393948446,
0.18048307506890393,
0.8054404480346828,
0.1095184738651267,
0.9473480426723236,
0.22381494479748193,
0.4814399722534871,
0.20199656504259633,
0.9060477467281455,
0.0467139446174209,
0.8035582225536755,
0.5598297292556029,
0.052694655075448404,
0.9256694307040253,
0.33114641940337247,
0.18109743288616742,
0.5809370523115476,
0.14680529863724517,
0.8213750256798464,
0.14709145761099507,
0.8239106692456724,
0.7226269230636884,
0.14265347536452047,
0.8080962674223828,
0.14011430341045977,
0.6891398090275974,
0.1359181359951025,
0.1663973093942259,
0.8303220100665932,
0.8700930532484455,
0.5825977988537089,
0.9322239338727697,
0.9300936329374606,
0.4504381978457598,
0.1807004885336365,
0.0611228350273843,
0.09998398256062621,
0.5392670278104091,
0.8498835922818287,
0.7323931187945807,
0.8581339594181759,
0.30641965029864054,
0.8610389493631911,
0.814570062364067,
0.9285769799051843,
0.5970190484018219,
0.7855879299083957,
0.7369624531724035,
0.06872250072749361,
0.8346827336849567,
0.9517355335491834,
0.5613061786823451,
0.774322749710028,
0.2279475463060037,
0.7380010120549607,
0.1507203562448077,
0.19460668430096392,
0.7255519940357813,
0.9549043223804051,
0.09002100354281707,
0.7632008805086796,
0.11635269667115593,
0.7196781655832777,
0.8253267255627883,
0.07876063797259573,
0.4133799185889288,
0.6925209447177033,
0.779668331153067
],
"z": [
0.6349761897843614,
0.32612363092067564,
0.6307569773272238,
0.4973692523461298,
0.41628349648308494,
0.48389873711078313,
0.5939650094083478,
0.7403529426761529,
0.7912326900813688,
0.6159322831650113,
0.7988103217681293,
0.827682677268458,
0.2621939514085397,
0.5500216806107012,
0.1978396708119493,
0.7872650107197245,
0.44807569176060796,
0.8486022243403749,
0.1645159873695635,
0.5650933467639713,
0.1850957095955756,
0.27163195085372926,
0.5989922263498183,
0.3894016814117794,
0.6723782038720627,
0.39024844734337594,
0.38942775968826976,
0.1782602381193551,
0.6482298312401423,
0.43206098729779197,
0.3105830322752323,
0.8274088555112356,
0.8325172553509325,
0.5592028845465372,
0.6375389530492019,
0.5454686751486616,
0.6643029929798547,
0.3631378356192553,
0.6529952963070197,
0.3552792913801485,
0.3432887977350648,
0.44843834339858846,
0.6088226762261022,
0.2457083407983129,
0.14528420246263601,
0.47787514657814195,
0.4262201868152677,
0.2174319676024837,
0.44349189087045493,
0.7638357138617844,
0.7314328126770185,
0.43498989327820203,
0.16784413929337175,
0.849442075355098,
0.7864333576958694,
0.3776137303121513,
0.7564902815514962,
0.4831129229964231,
0.4908547848351597,
0.412923711234944,
0.8063273573858987,
0.6100538795730167,
0.2683146429890905,
0.7554530915750044,
0.6039174607015,
0.24426308596970495,
0.18852604227832678,
0.49337734266581873,
0.29270765021512085,
0.5121090338379015,
0.7774243608321718,
0.6148204674438501,
0.15247453142993794,
0.4876562180912325,
0.574085760975703,
0.7290214257774137,
0.7633434801475263,
0.7083822314995387,
0.7121407673034802,
0.6443733741006139,
0.17091656306294525,
0.6959299866475636,
0.62375444680317,
0.7086145386744012,
0.5777974524674783,
0.6704837769828017,
0.32805125972653226,
0.6239829803271525,
0.23140769266885797,
0.7389184269965416,
0.7767806433375849,
0.4908066721401264,
0.5018137268844453,
0.586292553184543,
0.40607501476745933,
0.834824533057271,
0.3104922951277187,
0.7110684769706059,
0.1702293322926067,
0.3860158700903074,
0.2068180680587952,
0.6014856576111818,
0.24832567876142495,
0.15559074508487902,
0.6124904867481088,
0.362673419964006,
0.6168519456778773,
0.30308710913468073,
0.4479705891060092,
0.2475756112663404,
0.8428100853609637,
0.5581975457242051,
0.8283055373076419,
0.2631777513919048,
0.6153913862528105,
0.29852069943320336,
0.6047245519763489,
0.29536428391365527,
0.4949868224924551,
0.6917149511757543,
0.3707985904890555,
0.6463263715792222,
0.3802756459512774,
0.7718626099873988,
0.4806566777679962,
0.5178124157235798,
0.44708944106691706,
0.42750544003755386,
0.5917426536294909,
0.537034803814497,
0.15343040645219383,
0.7542123969839555,
0.7738216077535816,
0.4905551247833376,
0.3161468115217346,
0.5607698428608006,
0.8284404435729998,
0.68499536204459,
0.3750174081264715,
0.8297995572249798,
0.3814178727014414,
0.166043695099193,
0.5501100605210288,
0.1578851521907133,
0.7682636883663801,
0.46417368684796484,
0.6730614932392669,
0.821088384323788,
0.25908642726822434,
0.6786059365134229,
0.14723082453130856,
0.8057987076771067,
0.23684689920240928,
0.2736114072217767,
0.21787170356427524,
0.2306241670631708,
0.5795015047887511,
0.6470009396203689,
0.30984339840211456,
0.8288194329856094,
0.4564663270659117,
0.18044639523212644,
0.5501610042187817,
0.24726685514785202,
0.4976652257255703,
0.5684930220705452,
0.36044908945393883,
0.2554020745598976,
0.1834992856432374,
0.3251062466261118,
0.8128532160661608,
0.23768031384744245,
0.16084233823854677,
0.44537120492219806,
0.6402821345045957,
0.646245346445011,
0.4957661956960403,
0.20965350289025508,
0.173137053024543,
0.5589565896041292,
0.684272038463069,
0.2940326497138591,
0.39034459202345867,
0.4097728821684997,
0.688710064305465,
0.7943966182981863,
0.44734719720060556,
0.4697001603457728,
0.54928346641034,
0.14705463917583458,
0.37169588048424473,
0.6669408373497522,
0.6012985644490307,
0.42954658006987195,
0.2696307929719256,
0.8145949402907992,
0.5839416948239005,
0.41038493972579604,
0.700780769697889,
0.2844515437272653,
0.7342152749816243,
0.16534483827374336,
0.7259124341233135,
0.6623962841256643,
0.1792812892493783,
0.547927290430123,
0.7599871621690525,
0.7519976631838508,
0.6636060397590406,
0.4769875644486594,
0.5643543749846973,
0.698904394825789,
0.6814418261749412,
0.7283425662904188,
0.5218815871456074,
0.5753411005978356,
0.2548965172947042,
0.4102559280924185,
0.29530567155569554,
0.2870607727980884,
0.8109317631761584,
0.8527140865848967,
0.6923207421352856,
0.6560810507867706,
0.14058127428377518,
0.43249957321810817,
0.5756995386094995,
0.5947452373758357,
0.5417698893751515,
0.251276656166366,
0.1780797945171018,
0.6114592776263486,
0.39202486907276396,
0.37569777894963485,
0.49152623158990444,
0.6376976035903489,
0.384042630319634,
0.7102092187028074,
0.6593813006303215,
0.7644447744118622,
0.5914139628787317,
0.5042441438269398,
0.8073573404960533,
0.41707502351585934,
0.20833516811658404,
0.17488910659025003,
0.35270056973507086,
0.5645726996465743,
0.2951001491818014,
0.5572736571877056,
0.5997824504081981,
0.4130722740988787,
0.8513274407052399,
0.46809951002494576,
0.7934816711280832,
0.2381853527423823,
0.2602890640664341,
0.6688014630281784,
0.7190502103746249,
0.4688190696855739,
0.858257140295994,
0.6756652250920592,
0.1596692642680607,
0.8294870154470557,
0.2628657824120097,
0.5483374241998128,
0.20211986231365328,
0.5017991523387455,
0.6734593674909242,
0.6077671643104806,
0.6899921529842348,
0.3558781729097973,
0.14253187782097562,
0.5269239824519287,
0.43196942626978135,
0.2896574066702112,
0.7288446837487663,
0.3854751503881333,
0.6569523607726476,
0.478814192317721,
0.5176408545200711,
0.2868074920380997,
0.6218129520950532,
0.7287603902950649,
0.1515694359767129,
0.525476521788222,
0.6903031240484389,
0.47424774652216145,
0.6675759350809131,
0.8039118796939975,
0.6049215908572005,
0.2164210703392392,
0.3474988785158403,
0.7149053326643129,
0.4193974352637089,
0.6608141978685467,
0.8542613667235426,
0.7823082215648384,
0.24001900836051138,
0.4143965020534868,
0.8470784606204164,
0.47807062574828474,
0.14347194354178514,
0.4066024386101587,
0.19770102283637025,
0.8608466642495696,
0.6336884775264455,
0.3936087313472599,
0.8145186298847494,
0.7879797349306729,
0.5811267159305691,
0.49548034207032604,
0.8260931871983287,
0.5856923952180476,
0.7498975991778412,
0.29862124547139873,
0.7016686409313244,
0.2292434942258618,
0.7862873876014206,
0.6487049151714608,
0.5250007190293822,
0.7512248699867732,
0.7420866001341704,
0.42082056651101196,
0.43138524849645316,
0.6769076925071608,
0.8228415419968119,
0.4140222371037567,
0.19370119922414145,
0.6107665822305184,
0.4530876553104329,
0.5856001343684142,
0.2470431202217653,
0.5030509922414487,
0.24116081098178127,
0.44976620555245483,
0.651828132614934,
0.14097663413711303,
0.5695281742582776,
0.5017124875754702,
0.6670624978820446,
0.7583531198512603,
0.5349070778113318,
0.6244585043412029,
0.6426704477201078,
0.8203263225735598,
0.329003495917653,
0.6094949393226132,
0.3274848485793562,
0.24045185558674162,
0.3022024242148289,
0.26981396192828677,
0.4937941766050315,
0.8302426511340253,
0.8469287768766134,
0.2689505746426121,
0.5541364689315577,
0.755661059228372,
0.5734948708984707,
0.31006716543833424,
0.3425698195341669,
0.6008075896831973,
0.4552198851786006,
0.5209153317985061,
0.37601769972553917,
0.24565022539127387,
0.5034144477939361,
0.4145883441454505,
0.7890935588737136,
0.26793475489009705,
0.3110903364909901,
0.36670819389408255,
0.25430933665554195,
0.8317800201985533,
0.6551808960640345,
0.38858729920099305,
0.21993624303651632,
0.4613168613488006,
0.3788462423300103,
0.31530458677924356,
0.8559784646065086,
0.37040853771001264,
0.4009065812858468,
0.7292229720076013,
0.5027241159808669,
0.2616445986462247,
0.61728937847216,
0.4133723391491833,
0.7972551556568788,
0.7075359154932371,
0.7936986616532016,
0.42590469739570946,
0.7587183090492398,
0.31538473762452784,
0.7988558889579712,
0.6816628299801201,
0.5705682969501478,
0.8067803354399454,
0.29455254433371064,
0.6520002979309415,
0.4690577624793269,
0.35593287781197575,
0.5817049336501449,
0.3806949331147071,
0.4166773784012963,
0.2671914197376798,
0.5143510380742674,
0.3589573222236756,
0.23737848057693647,
0.6807017433068315,
0.27031466275188354,
0.46282231237343463,
0.4265315735730395,
0.5042025996742517,
0.26131736475410594,
0.5238749341551083,
0.553620670986482,
0.6853440250166692,
0.650340560261382,
0.5651672126101647,
0.34503199835176546,
0.46946176214171853,
0.6035568272296667,
0.7569123146416223,
0.8535818634288963,
0.45342399479437867,
0.5868741361974849,
0.5640582398689539,
0.3019131464897781,
0.1906983089746945,
0.5745862635996448,
0.46799156896724453,
0.5784471288781102,
0.3190307858643808,
0.47528640407697664,
0.6975347178826864,
0.5615201234134168,
0.2696074700102349,
0.4081669328021394,
0.4818210462851185,
0.8289997572484836,
0.3195222723360665,
0.32981863212215384,
0.22857058312339387,
0.14108915472271905,
0.4318080581545023,
0.4262761577369251,
0.39618741249497086,
0.42122834586572677,
0.5699440694356428,
0.7071363543771294,
0.4097565155924655,
0.3733004731891338,
0.6864402322896406,
0.14226085642133143,
0.4556824173337805,
0.41380750271899985,
0.2040295120100641,
0.7293607466540453,
0.7384186363509957,
0.47125978068775437,
0.3724917450629283,
0.6160938055471855,
0.5728022241873418,
0.7477006189285677,
0.8187248756357831,
0.19032953189230098,
0.6113753420219873,
0.7332588798697417,
0.7648204277948445,
0.7702491067104418,
0.8445390360430947,
0.21373267595917533,
0.29064273017751086,
0.31234111141242854,
0.6030847945746954,
0.39731908282532447,
0.6299402711623918,
0.3680081227502208,
0.5659387491123681,
0.5639361154147751,
0.7427405712790046,
0.575796018089703,
0.2015419866475858,
0.5682313986813688,
0.35155638048235044,
0.7827969093673371,
0.3443190331077569,
0.672749531455246,
0.2977161171240635,
0.6730333488297052,
0.8328559231826572,
0.6680751050867295,
0.46455731011062484,
0.47688560340958047,
0.5558946366785501,
0.6139898037149086,
0.7874538209672105,
0.4813946100673286,
0.536903636235339,
0.14809424720251133,
0.6519973215285181,
0.22468663535665173,
0.55306278649572,
0.7086265408253466,
0.5791011088456827,
0.4480106351877942,
0.4045816910670242,
0.45237539638241714,
0.695965619185424,
0.690547702982785,
0.47594123915201964,
0.3384543676814487,
0.7385208191724016,
0.559877584154451,
0.5659465078776652,
0.49603514436852253,
0.625062668160209,
0.5929460723610571,
0.8298924250314091,
0.5487737111878496,
0.19692311753890107,
0.5617158257757707,
0.7957678739551891,
0.5466249433138389,
0.4679469367614434,
0.4156319783657945,
0.8498372751731138,
0.29191930478475026,
0.5464742396346761,
0.7777051913002133,
0.20510776753046991,
0.5926102295759551,
0.41106859929634476,
0.560314855332945,
0.3770129244830049,
0.5938295210740887,
0.6018982306097247,
0.36247868126134775,
0.355307358846292,
0.15045162943443932,
0.16655883239253802,
0.8498362978165688,
0.4394337552129669,
0.5676619626636719,
0.4296678166267768,
0.3475103465375634,
0.19051890948124178,
0.3884294889254652,
0.5947499169964329,
0.4713925929559505,
0.8103928624460688,
0.2068866806656175,
0.6726519704684508,
0.6289139443240741,
0.2458287597936068,
0.3759119060550554,
0.6765583555244128,
0.43443661928985955,
0.5309945917680072,
0.38591963242932736,
0.3673671964098478,
0.7252995286892204,
0.22734393623995508,
0.4741732783383526,
0.4121826975816218,
0.2857175785833308,
0.5600817387832806,
0.34016982727070366,
0.596735112876297,
0.3099025720292179,
0.22633917760074568,
0.6931652208825878,
0.17861303113296093,
0.4197928071885842,
0.4854926410153813,
0.2252215386615001,
0.1959613846704509,
0.7463523076059784,
0.5695611447566884,
0.6273261009404284,
0.16268772159791797,
0.7610244096829479,
0.5618861439770096,
0.7175697882681058,
0.21487817063054163,
0.38161391369358233,
0.19194970382118678,
0.4076464533021298,
0.7769844911590574,
0.5417290593524459,
0.8182758623640688,
0.4401427553339438,
0.49504386455182064,
0.7642683252325633,
0.5295516878453878,
0.38800077624290513,
0.4510253634341951,
0.7264951228651195,
0.3670465041823692,
0.7798736573087425,
0.5905762784945858,
0.463568037025917,
0.8550558057064538,
0.5843629471049668,
0.6081127498829216,
0.6347179867813948,
0.8432005984463727,
0.7615306918164444,
0.4421525906378195,
0.1778991721896521,
0.5664826075169,
0.22329015718527465,
0.5709318929666889,
0.4717362432858125,
0.521036752786217,
0.8588136662623977,
0.5241748989077236,
0.4673410767548405,
0.34296196292533165,
0.4498361331205714,
0.5641916809858711,
0.4159238937653117,
0.4672428259378311,
0.708506061722031,
0.6559393807935625,
0.6569354915375734,
0.7167928223919966,
0.4597929918410846,
0.6307804207322597,
0.31515632037183905,
0.34253736179289546,
0.6136328006712902,
0.32268720245467597,
0.7565999960358616,
0.15347113276703117,
0.5111888024564802,
0.38162304459951973,
0.7492672370300255,
0.7959649795316714,
0.7060832017745841,
0.4516923269775354,
0.5578226819669968,
0.14398584862636502,
0.4954121826171707,
0.7581514428259276,
0.8501550239213292,
0.8404082785948938,
0.2927833897025898,
0.8540304359209158,
0.5627008879820938,
0.4138942772850368,
0.4618787930273625,
0.39055221469116475,
0.18063057804924673,
0.5711949079282863,
0.2358259348845666,
0.6856191324030093,
0.3842343570455649,
0.6368373217580162,
0.4628216523717421,
0.4647298388233035,
0.781293155782331,
0.19394359463616478,
0.37422411646590964,
0.8509640804962315,
0.2304262989812995,
0.553991340663392,
0.21113777916758242,
0.6154469292813202,
0.8434344217296829,
0.17554433939830047,
0.6039642568131415,
0.34041672525268,
0.37937790745774874,
0.17946710412776962,
0.8452109597291205,
0.8268713062107329,
0.30631403438039245,
0.7324565844683291,
0.5674376905267299,
0.1602309479497962,
0.18442249943831956,
0.2528473867357048,
0.23818652152224107,
0.17204132940656172,
0.43595257896623496,
0.5740138948646072,
0.7977159905134272,
0.20006316273474337,
0.24133344055396805,
0.28092133190628465,
0.7517723369787204,
0.7360284879894645,
0.5238860566814151,
0.7878682360431832,
0.4333696820637741,
0.28996077412316923,
0.27622864390204105,
0.82424705851609,
0.4614223456419046,
0.29811244847206453,
0.5218280668074436,
0.856972356427628,
0.281111601237091,
0.5639164088294893,
0.37287578095584806,
0.560553988763299,
0.25755336875672113,
0.7471690545353193,
0.5763989799809747,
0.7836068539961099,
0.6132461745081947,
0.17647666596225509,
0.23169023228701544,
0.40934412974374473,
0.7316140216658431,
0.3455404242664272,
0.7220474604627246,
0.8452089040890342,
0.6629844046662189,
0.6153012689825068,
0.6207340362545342,
0.15004025681224364,
0.5448666133330718,
0.3137580668281676,
0.20274501568446035,
0.32467696185170175,
0.48932149638295647,
0.4857423875617387,
0.5599351323083319,
0.4607183421478793,
0.4109797416063478,
0.24320846198633783,
0.2521308815081298,
0.6776447200614714,
0.5493863501771745,
0.22244633543230008,
0.7619235358878066,
0.6558949517917417,
0.6299560234602821,
0.26669533745293045,
0.8358001876868876,
0.47044124990339886,
0.8381766212114711,
0.39151513588126424,
0.25726394606380104,
0.6593979149249439,
0.26745741548701635,
0.8168946264390111,
0.6310488774074762,
0.7636755666824872,
0.3088625083225527,
0.5334190094182691,
0.20624285829229705,
0.35927442368775275,
0.25491975828561936,
0.3161420832813682,
0.26134305312324885,
0.7139913803317244,
0.6380762476375763,
0.2635767648901813,
0.19424618059361903,
0.8170392067233293,
0.4201705735163512,
0.46912345372835595,
0.6273882378782978,
0.5862410017206501,
0.40366558789144247,
0.46728612305177575,
0.8232625483197598,
0.8602532014231179,
0.5320141515266099,
0.1562211756024139,
0.8237459278967209,
0.4021221551576595,
0.45248363542327447,
0.7203255037249982,
0.45722481388930275,
0.368280907772516,
0.5908300821949949,
0.21236305569292235,
0.6111100688915396,
0.6195265972684857,
0.574539602310798,
0.7341530823585817,
0.5167561279455861,
0.23297751082135493,
0.6846341689199169,
0.259594062800876,
0.3266399018180951,
0.7846638217279378,
0.25664170995739305,
0.42560463036843843,
0.8571953058113284,
0.8228946035284852,
0.420783353590402,
0.6074431682891532,
0.5996859324180293,
0.7062261525395394,
0.8545612693705532,
0.5442113182231421,
0.724066427806881,
0.5026271203007127,
0.8449630863107942,
0.531445397161915,
0.7069163624068542,
0.5057047083163061,
0.8549037231794056,
0.844830562298564,
0.6393414469143293,
0.2724936766968289,
0.7192364899134006,
0.6313049978453381,
0.3921576211840508,
0.5855394865336259,
0.19168425524720087,
0.666100524205905,
0.7764640625341013,
0.8311761819999839,
0.6151261154804285,
0.3017696735364344,
0.40216150896511144,
0.40982590150945686,
0.6749940857802934,
0.6987372136291045,
0.42255391769351214,
0.47294547240917645,
0.4171606374714134,
0.6942504122624843,
0.2617961826337991,
0.732399374633372,
0.5441169559171594,
0.45598337091516633,
0.6107143592795278,
0.3854607545064243,
0.4191156658805197,
0.6919402817333354,
0.7076498883028025,
0.24893162719793382,
0.5189662847701558,
0.16369662744279795,
0.8592142316263944,
0.5288901888646426,
0.1490357017734974,
0.6861041767281079,
0.7585654128920701,
0.5807046634400188,
0.3236117114073164,
0.4771692478815139,
0.5231343151119461,
0.3848153934485333,
0.665610376198414,
0.4966884483226146,
0.44721831939021534,
0.629205521192283,
0.4120308608313293,
0.2699544977824837,
0.7616368367162197,
0.8475255822399135,
0.17439033554036504,
0.315379262986185,
0.1918091030626401,
0.6023832555985216,
0.7858502752518904,
0.7129415691972321,
0.433216554226429,
0.8017601054623499,
0.4941146997092194,
0.24277337415716785,
0.50833473578119,
0.5382200239905571,
0.6153774406229716,
0.2182498268076798,
0.7059766728302493,
0.3633423767473153,
0.23483569975658353,
0.6151916036629415,
0.47743727129936386,
0.6997291685914308,
0.33842084053004673,
0.7073462535030843,
0.3534884346012186,
0.8584981644087063,
0.6125045441510002,
0.526382145995226,
0.7894888370283245,
0.5751004116082625,
0.561412159924468,
0.23421726638107293,
0.4781982086475377,
0.7109598020763749,
0.39258895963030954,
0.4087819642063475,
0.7274228106424904,
0.4131454600728338,
0.6301031138925508,
0.3932840061970073,
0.19832074138294672,
0.5147668206628878,
0.6369044581939063,
0.3773336359852852,
0.5779881209721341,
0.3258799777414312,
0.3604115194302167,
0.6075343108132165,
0.80463122323412,
0.5616558798254502,
0.27081434807685506,
0.5308946846512085,
0.8461678620621294,
0.2443816859396718,
0.33608608327130224,
0.4724470315593562,
0.5485458013722155,
0.43979550655057714,
0.4582475609632855,
0.3918095322951557,
0.17484257145637067,
0.20627462707126026,
0.38757196970837615,
0.4503606605812609,
0.3384486590026072,
0.2770089857192839,
0.1823540504816999,
0.4253534566948273,
0.5133130584991746,
0.6512165672574247,
0.45501925937679216,
0.592917209399974,
0.5658759381400653,
0.6215925570403251,
0.45298728903197566,
0.7848179236460867,
0.14597824172902027,
0.450970293857881,
0.46465162146487604,
0.8440339224295555,
0.7879453499027652,
0.8318624110720063,
0.4498640421906038,
0.4783772218186508,
0.14992184545947726,
0.20251370023927812,
0.4103008144641514,
0.359719493129947,
0.45277301978415124,
0.8587429870470504,
0.7240126423119068,
0.36308922720952996,
0.4224291487597632,
0.7367371550044282,
0.13944185750984983,
0.7269515903058883,
0.3312125744952483,
0.20033637691338163,
0.7501976655742039,
0.7209311427383235,
0.3612382857596328,
0.41029535981308696,
0.46173228120465887,
0.6529034117424202,
0.6370867785429002,
0.5625289604289877,
0.3522993610277569,
0.3152097744115605,
0.8539761910338082,
0.4253288570621662,
0.6687421915238381,
0.4019474049314435,
0.6788106099048732,
0.7143203629648027,
0.1997103327822847,
0.263511335188718,
0.5337385887575533,
0.5110693110273623,
0.35326101219596895,
0.5451190429024148,
0.7037143398120473,
0.15946181155785502,
0.5599273309746349,
0.5558558249453559,
0.5590637336941249,
0.7523621854421969,
0.18000474915321213,
0.8373557584232083,
0.716366124163758,
0.5867691235318204,
0.3209706123691594,
0.17156595663929725,
0.5247326133334607,
0.3948502106252716,
0.16177191083376233,
0.7307940824246751,
0.20516116292662415,
0.4131793401800339,
0.38950457842786324,
0.5812225987308923,
0.64314294081561,
0.6390739979000678
]
}
],
"layout": {
"margin": {
"b": 0,
"l": 0,
"r": 0,
"t": 0
},
"scene": {
"aspectmode": "cube",
"xaxis": {
"range": [
-1.2,
1.2
],
"title": {
"text": "Feature 1"
}
},
"yaxis": {
"range": [
-1.2,
1.2
],
"title": {
"text": "Feature 2"
}
},
"zaxis": {
"range": [
-1.2,
1.2
],
"title": {
"text": "Feature 3"
}
}
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"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": {
"font": {
"size": 25
},
"text": "Torus",
"x": 0.1,
"xanchor": "center",
"y": 0.5,
"yanchor": "top"
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"num_points = 1000\n",
"\n",
"torus_points, intrinsic_coords = synthetic.hypertorus(2, num_points, radii=[1, 1])\n",
"\n",
"N = 3\n",
"\n",
"encoding_matrix = synthetic.random_encoding_matrix(4, N)\n",
"\n",
"encoded_data = synthetic.encode_points(torus_points, encoding_matrix)\n",
"\n",
"scales = 2 * gs.ones(N)\n",
"\n",
"sigmoid_data = synthetic.apply_nonlinearity(encoded_data, \"sigmoid\", scales=scales)\n",
"\n",
"\n",
"x = sigmoid_data[:, 0]\n",
"y = sigmoid_data[:, 1]\n",
"z = sigmoid_data[:, 2]\n",
"\n",
"\n",
"scatter = go.Scatter3d(x=x, y=y, z=z, mode=\"markers\", marker=dict(size=5))\n",
"\n",
"\n",
"fig = go.Figure(data=[scatter])\n",
"\n",
"fig.update_layout(\n",
" title={\n",
" \"text\": \"Torus\",\n",
" \"y\": 0.5,\n",
" \"x\": 0.1,\n",
" \"xanchor\": \"center\",\n",
" \"yanchor\": \"top\",\n",
" \"font\": dict(size=25),\n",
" },\n",
" scene=dict(\n",
" aspectmode=\"cube\",\n",
" xaxis=dict(range=[-1.2, 1.2], title=\"Feature 1\"),\n",
" yaxis=dict(range=[-1.2, 1.2], title=\"Feature 2\"),\n",
" zaxis=dict(range=[-1.2, 1.2], title=\"Feature 3\"),\n",
" ),\n",
" margin=dict(l=0, r=0, b=0, t=0),\n",
")\n",
"\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Estimate Extrinsic Dimension of Neural Manifold"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, we use `skdim` to estimate the extrinsic dimension of a ring (circle) manifold embedded in neural state space $\\mathbb{R}^N$ where the number of neurons $N$ can vary.\n",
"\n",
"We observe whether the estimated extrinsic dimension varies with $N$."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO:numexpr.utils:Note: detected 128 virtual cores but NumExpr set to maximum of 64, check \"NUMEXPR_MAX_THREADS\" environment variable.\n",
"INFO:numexpr.utils:Note: NumExpr detected 128 cores but \"NUMEXPR_MAX_THREADS\" not set, so enforcing safe limit of 8.\n",
"INFO:numexpr.utils:NumExpr defaulting to 8 threads.\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"marker": {
"size": 5
},
"mode": "markers",
"name": "3d neural space",
"type": "scatter3d",
"x": [
399.91952519492503,
0.13725406470523893,
399.9982580379526,
55.2981271271118,
234.45167853346422,
0.008503562597650394,
391.224463646659,
0.005375070173507801,
0.032485862344233674,
0.012012687436890879,
398.9334977126787,
399.94065164110754,
173.10955465023505,
0.004040288382478607,
0.34794073286339433,
0.000015853157897538495,
316.29219772148997,
399.9987793328457,
399.9999854462153,
399.99985215800126,
399.99999783692186,
0.9292340887187667,
399.9851174990494,
0.6194849596432794,
36.466448901914816,
3.9658380684689742,
397.53124847027175,
0.000002961353362529451,
1.0892975122814619,
366.0957182143247,
399.9954422365117,
399.9863420663856,
399.99997241223116,
0.2722859367499497,
34.91137946795535,
0.001653354808905938,
2.148369997712196,
20.448327482560668,
399.9967850861463,
0.0002322616190264526,
0.0004348764001571581,
399.18378906062236,
0.0005294968141500433,
230.32499187146192,
387.137392703465,
1.2046424958726432,
192.04017185417106,
376.50857489853564,
399.99693318187866,
372.9443038065734,
374.2885500289243,
0.059743266266476525,
0.000009471280937312088,
399.9997741574324,
8.327632909997318,
399.9999903291093,
13.139568200529816,
0.001234376714354113,
399.8272671795298,
394.6119619367172,
399.99975102006636,
399.9999978081796,
0.04096054586746334,
399.9881548355969,
2.4912049388734703,
398.8485609536239,
398.3603350229169,
399.4337282802385,
399.99999585096424,
0.0011436907498607596,
0.004363669586382457,
399.9983782157486,
3.35460045707332,
0.17568254908852943,
12.699378869650424,
0.0010336054199422406,
0.404997889837988,
34.63060266638354,
0.000013873101245565067,
397.66889846724075,
0.9206892292923818,
0.0278053200819528,
0.0572503647706446,
399.99977800130836,
399.991281512556,
397.75177111744443,
399.20110940022204,
0.00023401885143048418,
3.764992994110661,
399.6858033516249,
0.000038956936987410984,
399.99999313002866,
0.1922230874984665,
44.749855887212696,
399.999967447664,
1.826625382582936,
0.28357809570611625,
374.31440120539173,
0.003462831832812263,
399.99942475396176,
399.9999799937381,
399.19681602707055,
0.0005047647388956022,
91.9689296135479,
0.005209125107064061,
2.2507455943048704,
399.9999722834636,
399.99632275475955,
399.99999056804415,
222.53867575988494,
399.8445379648175,
10.567470586285687,
399.99951712078587,
381.2908773865086,
122.82394115347412,
399.66827670061207,
0.0010006633499592965,
397.2282149715439,
399.9999679524144,
79.93902286703775,
399.99851014196173,
399.9999949154058,
395.31598470584925,
387.20696911205164,
399.99979457470477,
2.569112815254515,
1.0338589942424203,
399.9998916212518,
399.81668704712797,
342.762137434981,
399.35034974955397,
130.30373151725541,
63.35515618350658,
32.26107002252186,
0.0018515737687740952,
399.99999751349867,
399.99961049289743,
22.631323779795842,
399.9796107660412,
0.007041235854088335,
2.4073420567347403,
399.9976910659563,
0.01958086877309473,
399.9999728559717,
0.0000021631178181991118,
0.000008769585901902133,
398.4268946839089,
394.21904874891965,
0.022934847482658505,
5.782342120976658,
1.2203698963577647,
399.24793263467933,
399.99678637167915,
0.005030303133279901,
372.8104694132055,
89.63841608749262,
84.25463198766138,
0.2111015027727925,
396.8762319735773,
372.87323570358035,
0.000009244071175196211,
0.017362287479039118,
0.000002342869387383928,
0.21085540430341165,
0.23991543599133358,
397.2420841184885,
399.99917543430496,
1.087508544436555,
399.9999983642775,
176.2508335034133,
241.50827182698694,
89.62726418042747,
0.0000038230132171079845,
0.0004570661450653546,
399.9972098210745,
399.9999921800172,
5.4160078773183296,
0.19587313128892614,
4.327960426089428,
395.5092181330855,
0.9084245183732742,
307.40311508280354,
2.4797699192911082,
88.50675717495051,
140.88394449888094,
0.014083088637018015,
395.1820203852568,
399.88580960410485,
399.2172883234024,
0.000023957055805823302,
2.56168609829468,
254.14692864370147,
398.5265999645387,
399.20098500596475,
1.6340049535292112,
0.000009687322211071603,
370.28020169242683,
2.662240568923613,
8.340347564318783,
0.9897553118802138,
399.9964617017066,
399.99948313096655,
0.000016265251745473108,
239.7589711231964,
23.564289934503478,
2.778839812564615,
381.71175784918205,
0.08586007931639106,
378.1635175903685,
78.87190131592496,
372.4279342633483,
5.6503866774173295,
5.399385900072873,
399.9995495202266,
0.0000021910155023618927,
0.04677493952833789,
2.064366050158939,
5.278190852408016,
397.7475173084539,
395.7434534559623,
399.9918861672534,
399.06687815893696,
0.00030698335922174635,
0.0017614855694958464,
2.262558045830221,
393.83600877256424,
58.413188251829396,
399.9887702391891,
343.63368414227045,
0.11874818843711221,
399.9746505230579,
2.301730395438595,
1.6243277081999796,
3.5149314149496735,
399.9991068735032,
399.999872878787,
396.2547761347928,
399.9999973202118,
399.99976535280297,
349.1551326412166,
2.749605748400885,
234.02151838665813,
399.99978713918847,
399.3468600675076,
399.9999976699515,
0.013177445547407629,
0.15521925785104695,
399.99978362413634,
398.6862132565637,
60.71059896142825,
399.9999978082488,
0.9433761828330223,
365.36259326967826,
31.72927366973175,
372.2018139778716,
399.9999978073454,
399.91471241439626,
399.99788781362923,
2.7266888711942716,
395.1607560791363,
2.779418969408143,
1.074093007316046,
399.9999933669601,
22.19650245561604,
0.001598638200439595,
1.136703562276331,
135.94734974986403,
25.900758973029614,
395.4677011700102,
399.9995630198087,
7.934633673023139,
399.9995195844973,
399.99907110843276,
399.58593468501755,
399.99987805761225,
199.68815204624016,
399.9405121393511,
399.9016052671122,
399.9891765233559,
207.48263345878465,
399.9997651697046,
2.2563893428215076,
2.9400694725856047,
0.0014778532752224294,
399.9999983830836,
397.7236517633124,
0.000014884091514844044,
399.9974184884789,
399.5247575839647,
399.9934948591068,
2.724836089862559,
210.7555850884824,
399.24761894597316,
399.95168204493234,
2.2446731276625664,
5.384802161764535,
0.014821938124698342,
22.65032030648275,
399.9996561952706,
396.01144522628806,
1.0116699353821756,
397.6176311842595,
380.2638814787913,
399.9999975764815,
396.28656180874486,
399.9999968592475,
394.59479748211527,
1.9342594993998263,
399.99997161532485,
399.9999099203865,
396.1602838743067,
22.045615072542503,
9.033489144768136,
399.9858504975364,
398.8156199194132,
0.0022081502768278582,
393.0583339903968,
398.9755759397626,
399.99997998327393,
5.1489893535049625,
227.7139498496533,
399.999637260813,
23.537357716171936,
6.2006965397460645,
0.12901643371210358,
399.9942187019228,
0.1612639565377494,
0.505668471683407,
399.9813071227509,
0.5396572349652073,
0.0000016721481532755433,
27.701164053176953,
399.9810575839553,
243.18471035811444,
399.96457659174337,
396.0279545037366,
395.64378378791304,
383.80057784278546,
399.9998463731501,
399.99928945512784,
397.14293651162916,
232.25850362407735,
399.0075260155188,
385.83255866168633,
396.43865994657995,
398.61120792514384,
397.5708626834943,
0.00006091152540133038,
399.97669881984643,
399.9998754358571,
2.7341767248709736,
399.99981183622793,
0.46379176739674843,
0.46782783432028907,
399.4296671193048,
275.5060957042876,
0.0003862406723342815,
0.0009932169073190167,
2.446621872611132,
0.010474690805173381,
0.000004000720199570651,
0.0004774972790499987,
399.99845418526627,
15.642138945326822,
0.001254601674993694,
365.2353318445299,
0.1144348184989763,
0.12153046743261786,
4.2703570505084,
397.8740808075041,
0.0005325965936497923,
399.9999906306555,
290.0615863968169,
31.54083420732743,
174.4366837137722,
399.9999909691738,
399.9385514749508,
399.9981775604771,
372.5857906677286,
397.7692564205061,
399.9995622790534,
376.4467396926821,
399.18612614528246,
6.901659066571475,
399.99956865647414,
102.76954886964297,
2.234730736470336,
365.04947861145666,
0.30582387364008756,
193.87714131111852,
0.00000709707215218458,
0.0001489668691956325,
0.01579271161595841,
1.094096297880598,
399.5256017779493,
0.0003309106015869645,
0.000007274894575637347,
0.12911164316371515,
391.71482614371854,
396.2810701559634,
392.904146569932,
399.99999635412024,
376.0814286816381,
178.03889832837848,
399.99945010355276,
0.0011304737870254655,
376.3051592668491,
249.84703937633205,
399.8872733265732,
0.011895938536765627,
399.9162247204308,
2.2364970573492515,
388.87963018932965,
42.76155314507588,
399.4502524019822,
84.1985775066456,
365.5264334247403,
399.99844668161,
0.0012637317120756109,
1.1720928893768523,
0.00013313767230904716,
399.99995315608896,
396.4802130092211,
215.1061172119409,
366.86616233001934,
13.956563007186663,
0.00031003739118240503,
399.99951719035226,
34.11926177764919,
399.9991513720103,
399.92897371333356,
0.01537587035904675,
0.44639148281520047,
0.00011004918942791875,
398.90551015882573,
4.80841232829663,
0.0046007245783075135,
387.01390419435637,
0.0003960755244669656,
44.166352254436056,
369.99703384369803,
399.99932595483966,
394.89484416327383,
363.19162582544806,
399.9993042891598,
0.8827267911756476,
0.45519083728278176,
399.99996170585047,
0.00020121198924805128,
35.31630856427943,
399.9968247503229,
390.35003481160555,
0.0005199882989748161,
399.9969845814396,
0.0009481818239898132,
399.99881835206975,
0.006164673212016858,
399.1450465052238,
396.36628105332636,
399.9908423476859,
0.00011873066265710719,
399.8766395480614,
200.18447613651662,
399.98237377034843,
0.000823354493251216,
0.00003263516870077865,
399.9992059604705,
0.00027656886871785247,
0.000025624352750774904,
399.9994590784236,
399.98163166527877,
398.98080643607005,
380.5946836723643,
399.9999704269147,
15.153260882294095,
372.27423347310173,
368.8177203652857,
397.6336531377784,
93.60396189396955,
4.979751391109644,
399.99598960473327,
398.4126945208253,
0.0001880944884735669,
399.0642711563729,
38.9592067847865,
0.000003879347687529844,
164.26256723293005,
1.1925568614309157,
399.9999388173319,
395.51312544303363,
321.3851474870937,
399.9430636725221,
224.33421046730362,
27.711193066753115,
376.59692932326254,
398.14285769719413,
399.99978961855095,
2.299556024847016,
399.99999656202095,
0.0000025519313995303605,
18.607028406420078,
398.48318404945684,
4.906442123368104,
389.213237307032,
399.7242545832994,
197.60150437273742,
399.9999095062986,
185.8113070721179,
399.9822433759604,
399.9977097558978,
0.07425495870876375,
0.000011843481173556825,
0.00009010961707911491,
399.9879850566154,
399.5272996775044,
0.05457777517043905,
3.6515877651441153,
399.56621229794433,
395.8041737963467,
399.9983684315805,
399.9821705598113,
0.000005385440671190622,
0.7334841556194682,
270.5236739325054,
399.9848002109777,
395.85599055874667,
393.9384115480734,
0.012118859282539418,
6.36720702528164,
0.057593703285907516,
398.44548527640586,
5.940832703420873,
1.324258024389402,
364.83706305651197,
3.5579685263121386,
399.9997843639213,
376.62062477341817,
399.9999485877725,
390.15327365224294,
0.0004842635858315347,
399.95744227407954,
399.9144907986595,
27.32405146293395,
0.000005062174168735112,
399.99349020266084,
181.22070764414508,
396.5821106807085,
0.061808930019302544,
218.14829591660154,
394.6874023634299,
0.000002559939948909573,
0.00018814618241158598,
391.0495381802415,
0.01992297831321377,
399.99999376086794,
399.9613555301113,
0.7090543956692841,
384.4373547132571,
183.36492054455493,
0.0004704102744890193,
2.7784507181189744,
395.2359855118784,
0.08203524589021072,
399.20373037647835,
399.9807985698284,
399.9994153476347,
372.0215183022346,
27.2990493260332,
399.999994873627,
399.99970296257266,
0.0008759192739571375,
272.8874067319986,
0.920760272316512,
0.41062757424099594,
1.1295447068227826,
331.8430195579691,
19.147376143133776,
0.000013720436342623543,
396.9634572406632,
1.241568272157667,
2.981112177807832,
0.00019009941101266747,
366.1318633327242,
0.6143381223498778,
1.1561523406055763,
394.20351629019996,
396.6900482201357,
5.912927858154693,
387.43019957571335,
399.774566140777,
223.08454743698599,
399.99981723787766,
0.02846738768103041,
0.000002242224672599491,
80.76231977687745,
0.0000024941173348835832,
398.91391599054987,
2.794181368802451,
399.9962264513875,
20.700111116678734,
0.00004602182868129745,
3.9191662277944905,
0.005396129239310099,
0.005101013672392796,
399.99999827327457,
399.99999390419003,
30.61196834476312,
399.99929183930374,
399.7864935048273,
2.0829080942076805,
366.7522485013343,
0.6234577773109873,
2.5827794360614886,
397.6706372708618,
5.7824732039483795,
0.19649203339908716,
399.1182352668292,
35.21673240549139,
6.539021684211699,
0.0014019351379568334,
0.23641460579608697,
2.379198842820429,
0.00047352403091949213,
23.923767681588636,
1.9372230006238667,
9.159950485277868,
349.1921793489802,
4.0043899571298835,
0.24542262971056772,
397.20342768463297,
4.569147798091011,
397.8707926708447,
397.5527264058234,
194.47691107129626,
0.000002174163582502331,
398.08664172172183,
2.6488563037065926,
0.00026946143041328696,
399.9994283201031,
399.9995245319932,
399.9591738063213,
399.9992468105409,
374.25806171151737,
3.502568145911389,
0.7767761315392585,
299.1054671002928,
0.0015497559894273039,
397.7464859574005,
393.6554008577872,
5.4624497545813,
0.00048680841824300103,
369.04203851989087,
398.5481607365829,
399.99996434356484,
371.8310772744358,
398.8557210517289,
27.79998089232192,
2.7137821394927597,
398.9304688066557,
399.9999953622895,
399.997864905484,
399.9779315679782,
23.580095075013354,
2.5591596902148295,
399.9427805222781,
0.000001652507708449491,
0.014409160678008348,
399.04518658507754,
399.9999948013601,
398.4533424973062,
399.99994790642796,
399.9948076155322,
399.45298813755403,
399.99955040020063,
399.99999575520906,
393.4436038559781,
399.9999965844576,
385.7934229034894,
0.7965752076459331,
395.1621785552741,
14.078371161244728,
3.9695476971215005,
399.9995478066851,
399.9999971387873,
399.9999958972265,
398.7255065697454,
399.9998872455914,
399.10832657197454,
4.725527362004356,
16.074394420936766,
1.238774701704215,
397.2395949766618,
399.99998367395534,
30.822337773879703,
399.91124222171106,
399.9997316811524,
0.004315091794837578,
315.2215638665832,
0.0000041517451698780405,
0.007325870176222438,
399.9996613388179,
0.001117002099948472,
0.0000068516333717738576,
397.7471651191194,
1.175988108003856,
2.7330910313510426,
1.1456225097007833,
393.51610377270606,
1.400363092834822,
0.913614453697198,
398.2603766516347,
396.04747848674197,
0.00009786205696915573,
394.34251587938553,
399.2020910643529,
193.45206505804111,
399.89795487657545,
392.7367752757617,
0.09209453150862412,
17.76835036432236,
0.5334237857979041,
399.77434658515926,
1.2160604590346402,
380.35848677293444,
398.460490775,
399.6986198727162,
396.4075781052418,
0.00018929201286432829,
386.45372658119965,
0.000005031213978767823,
0.3348011475741597,
0.0000029439817694765225,
0.00006138901764707327,
0.000002830232737061067,
376.8626528014507,
399.27740884359014,
399.99619550839805,
373.33846259128,
0.0046080855271357635,
399.99727622887303,
399.9967390919822,
1.3348049412217344,
2.325139863420844,
374.0436510879647,
371.6695167014202,
62.19336947637461,
2.387966691379173,
0.0008720272528739414,
0.0025686836760296927,
398.53914975911715,
3.504364740715271,
399.83644082280955,
398.25145793230394,
189.10577428750085,
25.27302165242029,
314.19337397612327,
15.431653296678615,
395.8864813964225,
399.9998119016387,
13.598138991270336,
398.6028137165082,
1.577391950290874,
399.9997205777864,
7.759690601848024,
1.0531957912719214,
399.9999697876392,
380.17916556545714,
24.702361297813248,
0.000002617711802876954,
399.4883882821821,
0.00042873526007181084,
0.3281117357542218,
19.225004301024118,
4.409092384691693,
0.00008234559518704998,
0.0021909675028020104,
0.0019707528283730014,
399.04207180946963,
0.0000023156997208673147,
0.011128444908825585,
0.028929099009045167,
399.13934663964443,
397.7614284146115,
386.07184663270726,
5.326593084657993,
0.8084678381129695,
397.76932042362324,
246.9975178968907,
399.9941387804788,
397.9126905043424,
399.9987877481145,
399.9897004052555,
0.07206435116173804,
339.1236875958191,
399.9918578221591,
2.4742631800260817,
0.004621198226240075,
399.9825677261724,
25.625712158509728,
399.05684728879123,
182.00842037547497,
398.8531597666826,
0.00040108645313896574,
396.49101872024727,
0.0012244540799732917,
396.1801805945053,
0.0013911630113661033,
399.99865385962556,
399.997834279944,
0.000004239316941934135,
399.9999911854019,
0.00897936164498958,
233.3259578667934,
305.32147514035273,
0.06376907296654633,
399.8994007730552,
191.45079003718737,
16.25804972513849,
399.3315547089793,
0.0960020042191978,
0.000007295984660871113,
396.0594267116771,
0.43983795460114106,
9.210441962451599,
399.8614092533144,
4.691910661964127,
0.000001608259214691543,
382.10529252680453,
4.625626665928473,
3.3060244577163944,
397.76961348850045,
0.0000023584639352591807,
397.318812383824,
165.0356498786311,
9.431452030442244,
5.703561023110604,
371.2340113655731,
399.9994118254423,
0.015174942933704472,
393.2581834800983,
181.9260865222274,
398.6458638822165,
0.04658762900777713,
399.99977683755105,
0.02066628630821299,
2.6514408747679186,
0.0000024073541382563235,
399.9967901671673,
176.71292539745974,
399.9918235894847,
398.5712910695427,
0.9217951054248497,
25.595718821160784,
399.99996984741915,
399.9999845662536,
374.05743541114305,
399.01407172771303,
5.329603286932971,
399.99219870579776,
4.056065935824149,
399.99999830749493,
0.000001738846489018897,
2.24911481946779,
2.7786947024088127,
357.77261716477034,
377.7168546077302,
0.000006168057220534706,
2.2365753013949607,
399.30407122500264,
0.0008291050090925012,
399.9999970435944,
398.95706331706634,
397.57416950432116,
399.9597928332052,
372.4961832888333,
399.99956026724794,
399.99297958342817,
396.3474234569169,
399.8884025930761,
1.480866626698174,
397.30395753367304,
198.14922492322074,
1.3388922185616048,
399.99406094906254,
1.6812757366808873,
399.9979311027286,
399.99413789588027,
1.5670403723007986,
0.005112298944309757,
0.0005073530575883112,
0.00001978494479359938,
0.000005827548354986334,
397.6654209435282,
0.13276417836325383,
0.0000033928020171103412,
399.99588800806794,
0.000002169661761364239,
237.38012523482533,
4.206904989560778,
397.6593800300729,
0.000002822615874364942,
2.068388141964239,
381.9897284086292,
399.9999948266449,
0.40772026360866853,
4.899207405032846,
1.8053620415616312,
399.99535160378616,
390.89548899419844,
399.9997599888868,
399.9999702105662,
386.4263774474796,
185.9609644570643,
399.9983135234567,
0.036574370237763,
0.0003136382945800875,
399.9994725667288,
395.3619421532529,
399.9992549209848,
3.091173371464473,
399.9980971165896,
0.00011811965974217742,
229.97871246206998,
4.018441393348415,
29.949175211713296,
0.00046400961117853967,
399.8516568948629,
397.7056662894709,
397.6069037242468,
399.9433046683712,
25.028023519753752,
1.0001146257817783,
1.7063635995703264,
399.9962065260617,
399.9999843032211,
0.7955275209251766,
399.999623698353,
220.7171855485746,
399.9989488477493,
0.000005990892382179425,
0.8274330193090318,
3.0796563331654925,
5.521832832317841,
399.99631541928454,
398.7738693216673,
94.37282537851326,
399.9878440385996,
0.829159918677802,
396.42546213263887,
399.1027426148997,
399.99897727071794,
0.08822141152005081,
398.34663940912293,
1.669965701476861,
0.030855826022513355,
0.000002596406245558569,
399.9958326872736,
0.7017396649133145,
399.99995791067124,
0.000004214308879646467,
21.79279673912271,
349.0308039591906,
399.999383068366,
5.732879768096244,
399.99995148047316,
0.000015617925974709124,
287.3857541184762,
399.9980835404132,
4.941637316897318,
399.99838216578087,
399.9909685943687,
0.0008236180511378421,
399.9999828475584,
399.99979580256746,
397.23222638907015,
399.9946868763448,
399.99248161086297,
399.9999964140951,
399.94414420462795,
170.45437412302343,
399.9999836508718,
396.9621256112878,
399.99942136102646,
399.18853500342846,
0.0000026174010070434406,
387.1739023610344,
3.78802626532595,
399.99999741221836,
15.900158223445082,
399.833419619675,
399.999925849518,
3.5931123931535858,
399.99957381659044,
393.5904012990894,
0.0014461533853760145,
20.794521085435825,
3.8987160255326003,
0.000013282160882255312,
399.8473550494806,
399.7329410762072,
399.999488254259,
398.55777669462526,
21.60105742236933,
0.9756665063769931,
396.8795798703427,
2.4488277811012926,
399.9999345888033,
0.3168647441307959,
399.9458080537916,
0.3956279310333377,
0.000002163120571552213,
0.18221591846072638,
1.981465005185612,
378.7383380734371,
399.9998392201702,
398.6884065761411,
399.9992647572102,
395.34220335327984,
5.791483684671084,
0.9053591063449273,
0.010111059983564097,
10.346792825936046,
0.0000022657622666955035,
329.1583195290878,
282.39471296637686,
42.280940529499404,
0.041840377660307126,
397.49084723966195,
0.1836281842072074,
395.6991586548793,
392.8911725644449,
382.808793357294,
0.0000016092988053273416,
397.71393209733856,
0.0005863038423425948,
397.76962396808926,
0.007611635120863269,
5.809117423543286,
0.3570806688338646,
399.99942938720585,
203.1714924732365,
3.9536658382611334,
399.95291421562706,
5.573219844663768,
399.9999981553425,
0.0000023729235909542012,
399.9968512080449,
0.003649696810770209,
3.6196614788089887,
0.00002351889887286518,
2.3530071501731253,
0.010547622354373232,
397.8791668488744,
14.197942702067689,
395.648671481264,
399.99998092835034,
0.12852845128976664,
4.658984703576197,
399.9999117318934,
1.9192282310735775,
399.9999481083797,
77.00278681374621,
2.3123862650132443,
399.9988011790018,
399.9999635699658,
0.00019407561455686562,
373.44903789973085,
5.776842685468786,
399.56976954440006,
25.843003860717005,
399.99955570696847,
0.000002180755087621833,
399.7429430406672,
399.98935723421505,
397.7437117741159,
399.99990035021835,
398.92211390677636,
21.975337207366596,
3.3069646625983884,
3.1938755471967895,
379.01927838835496,
399.9943488366022,
0.000005969914695924672,
395.7151371348941,
20.746110382389027,
0.0004393121945334144,
0.6371773625484245,
0.011256918917035286,
0.000018591658901279118,
398.9288863557432,
6.347095543973613,
395.7818740404461,
186.1522957286735,
0.0000016043504302842848,
2.4116398178475107,
179.64092770045593,
399.9336802203961,
399.9999630808704,
399.9999864021387,
120.46195996539339,
396.9514173716062,
2.172266278205748,
351.6086924484022,
383.03327102253894,
396.10067377843234,
393.92110825486316,
399.9947763171623,
399.557969953874,
366.42037983771047,
0.0004995074984970316,
399.6564853765003,
367.85662205569867,
397.23079220986966,
2.3009721941805727,
399.9980370472822,
0.0009698306727257133,
399.9843637494787,
2.7744212846096517,
385.3646842095802,
399.4152184067254,
373.1134992193849,
0.0009796305960207974,
0.31046635737468353,
19.94796968147594,
399.18809668600545,
399.99998066796195,
397.95439260341385,
398.4588130272903,
0.02838229308717022,
395.30046407409657,
0.0009440486989031882,
334.69271117679057,
153.45532339520923,
399.8076548841767,
1.4601735955300343,
0.15159689912176422,
399.9534272196095,
389.8034324836051,
378.6193214528442,
0.0006626826935418606,
3.181668352210054,
240.42352202617207,
393.0229952069507,
399.783063416368,
399.9999938794479,
2.489985498917391,
0.005476693184003345,
394.4135844180955,
398.9446627887743,
0.35007101605804003,
399.99999839252087,
0.0002098882190715301,
0.0013797113679547834,
387.5373482399174,
0.0014001880373815112,
399.999987411863,
0.0000031105053643898373,
13.962107695375003,
8.151428666701,
399.99999722872684,
399.2043025441876,
1.8221998942146822,
21.549048227561585,
1.2508685978186218,
397.62337515638535,
26.942001180028118,
390.07405540847566,
384.98047160768164,
398.35415640848015,
384.7101282371298,
399.9977227702577,
53.73387370844789,
0.4021415156599817,
399.9892653399565,
0.000019829839659202264,
0.0006060217789372047,
11.442084548531618,
364.75879188531917,
0.4526244250472322,
399.99921218521905,
0.0000018932279743921754,
0.21264470789834622,
0.3776323827654471,
397.54112434448825,
219.90824636223977,
399.8454259560469,
4.6978671339157785,
399.2855761480557,
0.019220012159482103,
399.99999319670326,
4.9080215089641,
0.0003483347129185077,
399.7058588587521,
0.24031296912780942,
372.31405772347375,
3.802529871725535,
364.66603116806004,
399.999943486045,
399.9978668108045,
399.9999972311285,
391.2255882959235,
395.3055437085749,
1.0768534009456987,
399.99999782919923,
4.312864669124661,
0.004276051936291658,
364.8685359853834,
399.9986843397429,
399.9996121880039,
3.860680328985344,
399.2944776154923,
0.8790548672985121,
9.080066752787118,
0.28180443497980434,
1.136866291724803,
5.7831783675750925,
399.58980947323636,
399.9990343679783,
395.36588942411066,
293.25596686196496,
0.004886674711723771,
399.1339946431989,
24.79639427614748,
399.4548783247094,
388.30381065406743,
374.2433784218965,
0.7173449497932083,
0.008454418782677386,
1.913245556946852,
27.767305916894603,
399.9999401990634,
0.0033624486208694293,
353.14900812220174,
0.06450053360707031,
398.8965746352346,
0.0000047176621720268486,
397.43699917578255,
0.042400746310922166,
0.00002822502433996732,
13.169470465463483,
0.000023504849622213442,
210.6060652456335,
395.3834037976928,
342.48695270777426,
399.34343209578907,
398.781121252449,
0.8748085865606381,
399.9999725192768,
399.3966826911338,
0.000012812075045331994,
399.9999983387018,
0.000002479144090017371,
0.9837380981913224,
399.9997861473626,
0.0032970293495138137,
0.19175023323974028,
392.92447480008434,
0.0004873819009931779,
7.2595469438447635,
1.802216521715705,
399.99893609924305,
0.9175313833261756,
399.6625990214844,
399.96822929208,
112.34616624553607,
231.12027351666603,
0.007362987412862232,
2.5754485150815576,
0.00003766583016595604,
364.93325077172204,
399.99948942020757,
0.000007402856994076501,
0.48819167973379596,
1.0000516075875376,
0.002625484061336003,
0.0009918179682433248,
399.7370269106027,
374.93031622208207,
17.302423129943058,
399.8215568693465,
399.92400212821116,
0.00029364111193697084,
397.1816993680876,
199.87223727835269,
399.97888152961167,
399.9997837071609,
3.8230260773222335,
0.000002235782803339248,
399.9998080122906,
191.76894345713728,
0.004833190712805191,
365.24643569130035,
0.21192777562171194,
398.7889792879179,
394.191827213073,
398.43987015023583,
0.0000028719407296762256,
0.0002144301827877726,
390.81819276566307,
1.1136106662905432,
23.92172807369086,
0.004645067107644785,
2.5541947933298337,
0.003430297327144949,
27.39524821119632,
398.7460870307849,
215.00101793750096,
399.1707424928382,
398.6406503631072,
0.0016960056828718706,
369.242255217191,
399.99943837441015,
397.86699166389826,
3.1658534953737716,
26.462698192971356,
397.8982441243848,
399.99842229309223,
399.06824793106983,
399.85637202496076,
100.13929465243115,
399.99999616265814,
399.4040220473669,
392.6083254890214,
0.006621675398155169,
0.0063709895043340126,
274.38936996097544,
397.19221440215875,
399.9999977100787,
399.9535642658006,
5.373694516893512,
2.3825707401528007,
0.0003840756055417671,
0.003487557719838996,
0.000042745860429072025,
365.69797296003316,
0.0000016325681473361442,
399.99536355435856,
1.799321006498067,
76.30846532551519,
40.6679271751031,
332.40443275819433,
0.000356301140724824,
1.2395766538579656,
0.309927788742681,
399.9966166701666,
392.7824173133686,
398.9845121431541,
399.99999420888486,
399.99328652589696,
0.00019582397001727259,
138.73822974475127,
0.0000021996241938992966,
382.19396217424367,
398.7186864868974,
308.7978793899035,
0.17778108959702887,
0.00007444022089853064,
399.9931629780362,
17.75705153132141,
399.9946772121337,
0.0004753331363183122,
399.9411247561077,
399.99980137629467,
140.93392161815058,
3.3888367865494207,
360.372775326332,
399.9999833678519,
5.260944657767275,
399.9990196105091,
399.98429692417574,
398.8481246370021,
155.3865172213103,
0.00007719740993117341,
394.96719459951146,
397.7453272857076,
399.9999946234625,
0.2159475424154067,
399.8051900020264,
0.000002722663294818517,
399.57225038123767,
0.0002419893468053047,
399.9997965864583,
3.0226634296151245,
5.677845315669505,
31.827538512481567,
0.0021197680241114014,
1.624819902684016,
399.99998636913574,
0.15643342187805498,
0.00024912465916848703,
0.00008968693931965532,
389.43155629173543,
395.50487252462415,
399.12643352655647,
2.9546597588612666,
397.52163619098565,
3.2553304220482193,
0.00100539535401456,
3.987459497709356,
399.99790380132663,
3.379604149523252,
399.99999801210396,
17.004146865536573,
397.59808646132944,
399.7188086969735,
396.74071270515816,
0.0006292215934067258,
393.18492028805076,
397.520916529785,
399.99956989037696,
0.041402145052904515,
0.003247243251958132,
57.155301452471186,
399.72208584522633,
1.4058673363881447,
0.05371786210965901,
35.30159974462028,
0.00043550650288270987,
396.46401727587437,
8.532879737271749,
399.603008068151,
189.0313473574563,
11.41259507916046,
0.00009213594611701126,
3.4139740696863985,
399.9997977266769,
2.6909877191927833,
399.99588296868944,
399.80185493198604,
399.75558514288036,
378.174263628745,
0.0034451720179129453,
399.9229308558742,
399.9999769456614,
396.9956167909716,
0.001093129743812149,
0.8771341149227174,
0.0004314834268104306,
4.677267100276006,
399.97673881400635,
27.793193471494114,
5.683427247678363,
227.39398089189766,
6.507350337086848,
0.007135121525436716,
27.315414434702646,
251.95504002835057,
399.8375315386184,
90.63835513797873,
0.00047817877300015965,
399.9999973913507,
399.999977274756,
394.9985545647488,
2.8432559506741173,
0.03499350273588053,
4.4358480150115565,
4.665981501177652,
392.9021413212511,
399.9873540182775,
0.0000016353445264627453,
2.745617971295089,
399.9999960945172,
113.96860720082036,
0.004968042922315341,
15.52533262533984,
399.9999974157539,
399.9999968792657,
0.13206959209042246,
19.827246492354654,
399.99999621929635,
0.000025355471389154616,
394.905458873824,
0.49441400926542034,
2.297203638975387,
398.8787953928712,
397.85434498396455,
381.43132394741446,
396.50762907774936,
2.332828281495769,
273.79589798153825,
399.1179602359653,
0.8984095013570004,
0.0001912216454069693,
395.3470500512858,
6.723444506179566,
0.00042660050971754515,
398.20213122304943,
0.005704910714432465,
116.83463421772773,
0.10744235258346446,
399.9999982689897,
1.6073118056452174,
2.0344284921051337,
9.522970971769418,
391.13645061191403,
399.9680952693496,
0.9684689703621796,
199.08823768140346,
0.06513415307298764,
0.00001147470083395774,
0.0000025522349567097535,
396.75194150601953,
399.99833948857383,
35.032646288164734,
399.95613495762524,
398.732967184592,
399.8024350137266,
0.8358023566151562,
4.785899759846091,
396.2404631934854,
397.9210507569298,
394.2052870229124,
392.4634271546296,
0.0000021851680687134944,
21.03246722124259,
2.95280419261732,
399.07644037537,
2.536636916748436,
1.131782785765445,
399.9999743968123,
5.308440359835065,
357.3389135716411,
19.593077413166693,
398.828063098707,
399.99757210116877,
156.28730752081577,
398.7340792825212,
398.8745684590757,
0.0010223215226812243,
1.0017336583234338,
399.9719310053581,
399.6828083909984,
0.000010951174411744091,
0.034137781684773216,
1.751960626076654,
6.050379124732519,
399.9999967679009,
0.0000018762429165875005,
0.002193049414689341,
399.9946159657527,
12.274130783789072,
399.8675559088828,
2.2483161069003943,
18.0982079365098,
0.0015395133232454228,
175.39538852181687,
0.3754570759116005,
399.9920328929051,
0.0008526096221928015,
397.1034224693863,
347.8322432430506,
12.495184524438319,
399.8712898054909,
396.5062211401461,
397.7807600918835,
0.0014815783923260994,
0.0002642489014714755,
372.58365521986434,
0.0000023027347806348075,
0.6589138257524496,
399.9997926590507,
399.99999526502535,
0.000007966921233837354,
382.309312009457,
0.09472762595930106,
0.0000016237010402875285,
397.8656995153296,
1.2699791996281462,
373.1015967156392,
0.0007362744039118851,
0.000044652920161425413,
0.0442582657549373,
381.9624019826511,
399.9996396014972,
4.729163203067999,
393.2785455043512,
0.000023179304631248954,
0.01223223021109554,
399.99573961605074,
0.16042108167402258,
395.4338601553572,
0.00003365440164326827,
178.08961476345235,
398.5389176709316,
379.6014982676621,
27.49106876551992,
2.47029757575723,
0.0039821289576025265,
0.7782794566874252,
2.281886027798974,
0.0008805576143799954,
0.8353989102606985,
2.672893095303741,
27.219181459579733,
91.10459870296566,
5.791743591927445,
399.999978346927,
0.8414938500965086,
4.333966193050154,
37.43455267903373,
131.17787269061157,
0.05620834481967485,
399.9999982352803,
388.97804748550635,
399.9422606410892,
2.4135255291838797,
395.8668635578124,
10.603602672877322,
2.5860048467266195,
367.36393896718187,
0.000002078007077521704,
308.0215343870879,
399.9998055944826,
0.6084953341373156,
4.237214079104756,
393.2452617437801,
399.99506019419107,
27.593431815806646,
399.9584420705749,
390.88296280545273,
106.75474644615895,
0.0000407544633818091,
1.2667474320488203,
399.99694920424946,
102.30656382547438,
399.9653210164079,
0.029637174420682477,
398.31118934187816,
399.15817879080265,
393.13673574267625,
397.0566936743738,
399.2429963637772,
399.9995412211839,
399.0222504469473,
399.78614101095644,
395.7825050286326,
97.73309147126885,
1.2442954240060144,
67.08225591628727,
0.0008350083155583832,
3.4941757558649256,
76.731578195387,
398.630300125314,
399.99874473634725,
0.00021474750275807253,
331.9822934519266,
399.99991531397774,
0.05335171168134867,
6.668478035236447,
0.3901890500691785,
0.31726542172729744,
1.598974989970059,
2.4787106416993776,
399.9991937831766,
399.9369438754763,
0.006358248396254318,
0.9476831599595448,
0.07424601640886319,
1.530311434964382,
5.720242375545226,
234.71361239677867,
0.2364775097417171,
399.99957065930846,
0.7963782422988341,
399.99996565675167,
1.3284378823240628,
0.0034751455931347763,
0.012082051472361854,
39.40080603256517,
396.44140858605954,
190.70305331302845,
0.000021921227433274737,
1.4560672376321193,
1.1884277016608769,
398.7351226086051,
399.99066455674404,
399.9995506795382,
0.0001581780125325949,
0.0009147229485195751,
399.9998073950626,
394.64833280020684,
0.0010542203644048342,
399.16653928282057,
399.7624891291373,
15.154267770444573,
389.0281377669516,
395.1874535874324,
399.9993471988817,
26.92844680280335,
398.50853006434903,
397.76821030662506,
0.000001764685642058339,
0.20485932574818566,
97.42205376262359,
2.446522324351519,
0.00039569831975505565,
0.0015430649274117414,
0.0009839770857889008,
0.8174273843874369,
95.41144294736985,
366.85107215668813,
398.45164216260144,
0.00003437278734974569,
0.0013065224848451962,
2.2565074316773126,
399.05680260344394,
395.7591697492231,
5.006880971063943,
397.58189308327445,
396.8463001807978,
393.0668108713067,
0.00240746404813752,
379.35210866814344,
0.010242668111537512,
396.4425454344827,
173.73514677689195,
388.05478300043467,
0.0052946609496729025,
0.000006490274984116695,
399.99999765363236,
399.99929280745346,
0.0003139898202553226,
399.9999976045841,
0.010799655087834203,
2.1264210141987094,
397.7242528401792,
399.98979867447514,
0.0016320690393145654,
399.9998716341117,
2.253063930849608,
0.23201977329274648,
399.9772281985674,
3.519396857215562,
399.44749589448446,
12.278385184972795,
399.9999981368436,
0.0013523329726705668,
0.0024650472393528133,
385.88049000570567,
24.405674927969233,
5.140450589430134,
145.70894628679167,
284.74052326896657,
2.3908131160093493,
11.981115406076604,
0.004804017855053466,
226.77768732597104,
228.95725561575114,
399.9995088754336,
2.4582844537493376,
198.52775441342993,
4.2326660544873995,
0.00021373696041937507,
399.9931463216167,
399.99995555549515,
5.961398714412924,
0.8742853285470753,
398.86102913883406,
84.63480569505266,
399.9993567542559,
399.99999670268227,
399.99979621130234,
257.20891265254494,
399.99303319912434,
0.0012389645562826956,
0.8594757072630133,
91.6852294709897,
0.0024384796935228437,
396.2153285277798,
0.00045536918562572026,
19.970949158586528,
395.171529767369,
24.33523001318425,
399.9154364446255,
6.6958245330551724,
0.00039049373021793343,
399.96049752548737,
15.327256113998056,
399.99873354317555,
392.0447415786116,
399.04002590857255,
0.000280985911627063,
0.0004289664972567664,
399.97601552047837,
0.01930705710735392,
399.9999941241291,
0.0012759808148299356,
0.24483214488357774,
0.00001108678300276722,
0.3805209415870259,
397.2259517800571,
390.0619349647643,
0.007156705891930848,
0.3222459954917989,
249.86558290874075,
0.00022487611521793127,
372.2773516522799,
183.2698703015853,
0.00006559453349375133,
0.00011916543007917113,
1.2060296838821483,
399.9994724419529,
0.0990473196847752,
399.99980670356655,
2.6606655364460163,
6.581865646501872,
399.99369249392805,
0.8457153720310862,
399.9996888637976,
398.91479158140777,
0.026709852852824234,
399.9958887175219,
291.08144173698844,
399.9988830592585,
0.000002407150101468858,
0.966568933935541,
5.5650066970208245,
2.785818366675863,
27.42008401641307,
397.17551505890674,
399.99990285376447,
4.591302727945767,
2.4839844044703296,
397.0917389096753,
3.3768794698868954,
0.00020575277868140063,
0.10865938272603959,
0.009996135655332417,
0.8190772297549387,
355.4494701410392,
384.58903443604584,
398.1685203974297,
399.99030514849403,
0.04264791334458451,
399.9999982695549,
399.08353477237483,
0.0029563702658608193,
16.06976108727096,
399.8806247003087,
399.9955170795688,
241.35928661104654,
1.450438174629265,
399.9994227310858,
329.391090601154,
0.1579980100161693,
368.36996575558356,
0.00018981222831282452,
270.7921928357531,
196.65769947350208,
399.6243804237513,
0.04130438000065073,
0.023762953564343547,
304.6978192106502,
399.4967124801529,
399.99644827393047,
399.5043619346007,
399.99599146669203,
399.1665323878962,
397.16959365184874,
0.23967300916281076,
373.69236628168954,
0.0000016897734766985195,
396.50378467154195,
0.0005913048746641891,
399.9994852444263,
2.3046299438568063,
4.743860637805719,
0.004248381840343818,
399.99998000689413,
0.00002245016517132825,
71.31721297233524,
399.99888221954006,
399.9904929574379,
0.00402891426705132,
392.02183290968895,
399.9993774799582,
0.6515760601394804,
399.72142929372893,
0.17826860990248772,
4.355258169337173,
0.5458305063126279,
2.60694332007978,
0.005157137654987487,
1.8513672652619384,
399.94482166247593,
11.157513398615059,
165.13786080594537,
396.8614764116943,
1.3552890624671132,
16.465940125909874,
0.20351639880258343,
368.2955656677706,
2.7233970910352845,
304.1537408125563,
0.000004921890628395431,
311.80577272756517,
19.33662228321966,
0.000735913121951981,
0.040335249538947515,
0.4092108279134976,
366.25898178019264,
395.60325635358697,
184.86883370478768,
22.14835806495623,
0.00022090435276567177,
5.5865269166690545,
399.1839091337071,
0.0000017859593137714569,
396.80907121796326,
0.0038142337128732606,
0.10533418964389085,
0.02789333186379306,
0.00280728021102572,
399.9438706696897,
395.034798837847,
179.3911859481463,
4.20834149991951,
399.97852880068547,
399.11294562679967,
397.74674727990333,
399.49149398359515,
0.0000016694305049469449,
11.333366057012961,
3.6591643443223854,
399.999994759434,
372.4407145320713,
0.02895556305873015,
235.48802768307323,
2.5295575437982665,
399.98714980484135,
0.0006357335755602378,
399.99999590634843,
0.0001915712689370963,
399.9999971863873,
399.9999576061073,
6.771994679613469,
397.2821573495142,
0.0016525673410816566,
33.221236274799914,
364.66391453824,
5.5862696874634965,
399.2038623795197,
399.99972428311537,
395.82330258830706,
2.302361458283686,
399.99991790404323,
0.10004012674731388,
2.737096540622197,
399.9275748899336,
1.6650936397670568,
1.542731102948447,
399.99955564041034,
399.9333443077117,
399.9993441151628,
0.0008399775421663591,
367.5783345854569,
0.0013085596511697162,
0.03200507362133287,
0.5856161291367679,
0.00002316424247972293,
399.8850885841921,
0.000002974822721490966,
398.04497843050683,
2.42365414224337,
396.7163563185666,
399.85502166265354,
0.00010440307796066861,
1.2557643459357948,
92.73632251022607,
0.00779136944428771,
0.04603291843130464,
395.47122660407626,
17.32017292964192,
281.5024435244666,
333.5385577248094,
228.82903508239764,
398.95300390032673,
368.6089398426265,
395.53512478220085,
399.97400691161033,
395.0974341742891,
396.64220541813063,
0.00005088925882912321,
2.9728681914890975,
399.62026599226823,
3.7063592461828554,
385.7028854846547,
2.9955845281227633,
0.1105229453133516,
0.000013840759383043633,
399.9997022736981,
399.9999545166991,
323.16342593196134,
399.78247887050566,
7.942898062765136,
0.0023308112393705116,
205.0578132513483,
216.8142331946885,
17.351470143983594,
216.29620287826907,
0.6382288398314895,
399.9994383558329,
0.00003952834404241656,
242.0523197771435,
2.2958614249509957,
0.11399671206890893,
369.1855701694326,
212.87188684992051,
391.40874870140186,
13.691104779466357,
370.23257554274403,
21.80013733799204,
155.589929239045,
399.99996367101323,
1.9025821113321184,
8.48479945787577,
399.97792595864826,
399.2956549054527,
0.000013317576286198118,
399.988734758731,
363.7443084743384,
14.699703185102763,
393.39445567281155,
398.0122211161712,
399.99949138830874,
394.1922693160472,
2.2424734382301637,
1.244061701942889,
397.78825312033644,
397.7614918637544,
398.6514027701741,
398.8606985434978,
0.36665221984562013,
396.6063782091374,
397.0683284651078,
385.47698455301753,
0.00018989706394023642,
399.9972189250776,
34.29994608490781,
0.0000023951046035364243,
399.999782530768,
14.799205353548238,
399.9932157411023,
1.503350173694229,
398.77803826119475,
395.9135043287738,
393.3215507124253,
0.19648938826806184,
0.4289590366495011,
397.7550746448263,
399.9089823545339,
399.99949582502336,
0.10463767568773541,
399.9999978344772,
399.99137529130803,
3.064406131375663,
399.99980085980576,
0.000009737644290908065,
2.289604442920945,
0.00042733321488075404,
377.00875846724904,
399.99970996907643,
392.9966841426367,
282.3793242504536,
13.442376287043324,
0.0007575413089488947,
0.00000361347052280081,
24.907752240715265,
0.02530004576599687,
2.1620322902742295,
399.97883450195195,
0.000002164069257126755,
396.95832413653164,
0.002100498755175373,
0.018664656174993688,
388.8837906869041,
399.999433202812,
399.6965511988523,
0.17829998507621347,
0.000002246441654918385,
395.9763754104926,
0.0023249792040491712,
399.9979728658856,
247.88547395937238,
2.3278214885617654,
0.006181185167952741,
34.47560987777323,
397.62843501528084,
0.0000016025916149686736,
399.9993634745866,
395.3224795885316,
399.99970873405005,
0.0013044575345233511,
0.001470865908981267,
21.641610106958066,
399.9771267523512,
5.851809442098488,
7.188181976876806,
396.80891946228945,
0.000004259308461485034,
190.14118633299626,
399.2266088755172,
399.94205850238757,
53.7231310909003,
399.99941563651856,
374.2240191761394,
398.515955569731,
397.2553402660278,
399.11155097196394,
395.1715062117794,
0.8481851543485908,
175.66785405021847,
0.03627626848543564,
142.97377924999813,
0.005175767724274749,
189.86717720472276,
142.1441936765381,
5.67524664247292,
388.04120008279943,
366.65403588397186,
0.2943262424091042,
399.99965370610425,
2.389491561812296,
399.9971678390356,
399.9987941045965,
392.2426414477405,
0.0002439072614990323,
398.8128935701659,
0.00038314514079207385,
399.99996950366074,
399.99919131136636,
231.49334599647779,
4.526185362042279,
399.93417865173785,
0.0003903818977413209,
28.62513904995163,
5.356554461760332,
0.000001985804320980833,
225.3257001975819,
399.9996589841336,
398.9172691236009,
241.3859050201784,
398.016429275911,
4.9776550087812454,
399.99755579272147,
0.000004786311968985046,
0.00006877479687972254,
0.0006698252320136433,
37.73607980971869,
12.126989608087758,
0.012657838291030288,
0.0005967878273560601,
391.1089030122478,
375.0200789645706,
258.41606680220895,
1.1520972454694078,
0.6407841129709491,
1.2361629633143245,
9.956311068220124,
399.9999889173456,
399.99999780571454,
281.846644728796,
399.9997727231692,
27.709143165269225,
399.9906170942155,
2.5804422263547178,
0.002450633475326036,
0.46152159826189365,
399.7851794932927,
0.4161311521849509,
0.000004312847212695203,
399.9887201117452,
399.99980741044914,
7.939033573601395,
399.0096057708155,
399.9999983332187,
0.00000240150510588677,
376.31976699401815,
2.684046039721344,
0.9889859220349129,
10.699173361545489,
399.89112377583916,
0.0007318504532172199,
399.9862914259744,
0.000013074389149103638,
149.57159745620942,
0.0014766419119682794,
373.16507268841434,
396.46218604045316,
7.195216421340067,
19.19679896564388,
104.19026495997645,
399.9999983289358,
399.98836848966084,
398.60655282314144,
0.00003325397777143024,
0.000011073054095867008,
399.1602403072374,
0.000017374676786197085,
399.9999968656632,
0.0027352494975207975,
399.96431019136895,
398.78989397124195,
151.22248587227946,
396.52900635489823,
396.0398022809986,
399.9999983848638,
399.99684420845483,
368.27281251273274,
399.99999264497984,
345.0938203131645,
3.7862740865521216,
1.9531788695729357,
0.0000029220426522869047,
0.14496164676076617,
25.391301094264797,
399.0375373966993,
396.8998060233296,
398.32565575323525,
399.99973353348645,
0.8762568861001574,
398.172904586257,
9.160833053160534,
398.4242401389671,
234.27822216939998,
5.786749263313418,
0.001295527489442172,
396.3947744624419,
396.1571630090865,
383.74905878208,
2.2868696190087245,
399.99956865352783,
61.38886234106764,
399.01160514345924,
224.63714913535577,
4.131853458175816,
393.5236616581962,
2.5212758169078864,
173.89913139941936,
286.8235368554571,
14.850539075255952,
0.0000016266495483918675,
372.5129896467621,
2.5230377317836172,
4.6773302713239095,
399.99959577768936,
399.7729931311153,
27.81816975735607,
395.42993431752757,
0.058563762222485494,
0.050049069654312106,
0.0026788523567189415,
395.67903852123766,
0.12533569269801426,
218.03445311792763,
3.4610201846745126,
399.9946398544507,
1.6847717100438864,
0.0004395040402060957,
397.5509274366452,
4.128461395096217,
0.08654135884780256,
397.64124518340964,
44.45869300948346,
399.9987556467523,
387.7042817281888,
0.0007430731827406944,
242.48573548832275,
0.28974404263106823,
151.13637647685024,
1.8432608181541799,
0.00039648379523971045,
399.8748709115956,
395.0322183974387,
399.99823565021615,
383.8557420909161,
366.1111335836202,
32.45992130732554,
0.0022303848038252028,
0.00003499623841829447,
399.9635670706134,
399.12002630644645,
0.009514640828656162,
0.7956531308327852,
398.9582099519945,
399.9690740066821,
3.506087531498081,
399.99999031818675,
0.0007538644142490725,
0.000015557788235476266,
399.99999770979827,
399.67992697979713,
20.574487284335863,
399.99862511399334,
394.3854893635833,
177.6414171170537,
399.983963455129,
0.011211427435720012,
0.00048374596974820605,
399.99999627208814,
0.0011204869046377297,
0.005269850421640854,
0.00043112916261467404,
383.08185878191495,
399.9993840953033,
399.9987922586258,
4.295745049718325,
58.19981697215435,
399.9999261591008,
393.47935390351483,
196.56303034258133,
6.6461068057955375,
399.9999976454471,
0.0003021649867207543,
399.9960822865992,
396.50181064356326,
10.005294705067547,
399.9999983757006,
0.007488285221857183,
366.4643975172865,
12.695572563020363,
399.99631542020825,
390.4465130582163,
1.088694436530635,
0.0000016007859260369628,
105.76832603697449,
133.11944411016486,
366.112884011993,
0.0000020299818270785863,
0.0002735310349999409,
399.99999833069353,
397.7778902383267,
0.003130070669410401,
286.102767953724,
3.028689731379952,
399.9994727784917,
399.99329155313274,
389.2174071753904,
391.118108793418,
2.1588604204004547,
396.53239554779464,
86.85858098827546,
154.32389753415146,
397.45213807678954,
0.0004934691122615575,
6.180666403205692,
399.9999980593735,
393.32542766033595,
399.99774010267384,
0.7976054692787615,
181.09671928592417,
399.99999667586314,
0.00016263736783983518,
78.80952597430183,
399.9944373754099,
1.1564659816312828,
0.000812851365283862,
38.207051775671566,
12.473075132850564,
211.09890880109293,
5.78437560895122,
183.31298839787226,
399.99532732769205,
367.21336524878154,
0.38201758676328357,
0.00037364792737637487,
4.060402782223327,
2.1936815017445044,
26.34312472861311,
32.82414991955924,
399.99980805864726,
399.99999644003947,
3.5313626008372623,
399.99991921025276,
0.020057696876318865,
5.137913798234095,
399.9999629176075,
393.4275882882766,
206.4362648981397,
0.00018882344143822394,
215.29280784416233,
285.39165154185093,
44.418476684309894,
7.755188219341447,
379.4597105906118,
399.9969030700816,
3.157023614121024,
399.99844593174316,
399.973839102203,
0.14817321647073722,
381.07495916794744,
82.14479558974088,
399.8122759998335,
3.8244969899307035,
1.6048333125564307,
397.2150839426647,
3.6077227045930194,
23.288229320566245,
0.000008022458142242783,
1.6412230080576684,
399.99999683509344,
397.8514696562379,
399.5041565878071,
0.7378157633524784,
399.99999773918177,
375.3092920151178,
34.99887924410216,
399.79572134109065,
399.99562586883394,
399.995999892674,
1.2882049849469945,
399.1966623413667,
225.88853167606047,
399.99955576424003,
399.9999970760685,
399.78851634966446,
392.56027563979313,
10.634881493809534,
397.7405401755991,
0.0011966392739148901,
0.00034822945405021954,
2.344982339759105,
27.204878300540546,
399.98726270353933,
0.42976658673574697,
399.99319771150846,
0.025162547359158793,
203.18120451760103,
214.2847110248171,
399.9388921904667,
399.9993599825844,
399.9991498550168,
0.000025827831939828627,
372.49818719532766,
0.3279522292354953,
399.999998214099,
378.91103217632826,
386.8139759288158,
399.9984430974938,
2.996798466343087,
399.97942037182696,
2.3946821242626815,
6.504758727167226,
399.9999836761437,
4.915492011759581,
199.41197989434164,
395.03802753282827,
389.3063833174141,
62.30490646902962,
399.999155811168,
2.3094943529576417,
188.00885728731237,
399.9998116225421,
0.7956632262586805,
172.2290850910879,
399.99491003026776,
199.55718266504135,
388.1486492297346,
389.589023920476,
0.0005867344673893271,
399.1826170999443,
10.770301348240775,
399.999951216117,
385.51279558748575,
399.9995282828247,
2.7725431660510225,
380.64270045966157,
0.0000021945202988149504,
399.99950442392975,
399.9977354059057,
15.316764952377016,
399.99888622278166,
1.2091382554176189,
32.5915957055422,
399.9894857911182,
399.99979705685274,
155.4255695953603,
231.1801737829955,
399.99837870439364,
399.99956218903685,
17.384606120278434,
0.0006568662688444249,
0.01861817376478392,
348.4009121156231,
27.573695210042736,
0.6813832315347934,
198.39622405757558,
2.0973373512982896,
399.999996944388,
0.9393810644725331,
0.17082706470539222,
16.099286824705807,
399.9999971630931,
396.5711618723466,
399.9999835893009,
399.99999015389074,
30.839860015223742,
0.7003590014914574,
3.106714354603768,
0.000001886676348483718,
0.0010567162403773978,
399.9999685593349,
31.20291087011775,
14.02775078701104,
399.9995735919048,
399.99950218772716,
399.99800378679436,
397.28430197781773,
399.9999504388623,
399.1162220931227,
386.572320768659,
0.00003263535524045125,
387.399152640864,
2.5412084534903956,
22.224849670876388,
0.9591820792734351,
0.00393950228056994,
0.06570275617385768,
2.247658227774818,
393.1785835998572,
3.7947181278293884,
399.97608449808996,
0.0000016005790470785541,
1.8210568962786056,
393.28877262115174,
397.2885557821963,
390.61106050611187,
399.39786982465864,
384.69414991346804,
395.70211556719767,
27.0124001423939,
12.436584476929458,
265.46926020482834,
232.28954136701628,
399.9878949904603,
399.99632622794695,
0.14740845742979847,
0.000010806648909067462,
31.605383591707636,
1.3313438735413685,
0.0009793628362508855,
120.6449516417095,
0.00000462074185580974,
399.9985854196682,
394.9653805796729,
0.0027728883662536674,
399.99738963794493,
399.9999981821421,
399.9773052866475,
11.958945756963546,
0.000002764808226807247,
398.7341312238213,
3.8818631042627505,
0.0000016257257096086164,
1.1020778806149378,
395.1905335017339,
399.1009071535057,
158.99575562049125,
395.81082560871147,
0.003510627424008206,
67.22630718867305,
0.0012346912648952824,
399.94787579474945,
0.0015619876069683514,
399.9631363913519,
364.7631049338774,
0.7956000043645384,
0.01433407970072853,
0.00024235844116038407,
0.021050245438769544,
399.99868727079166,
0.000044895033890490765,
0.0005242412612016523,
26.92922173207821,
397.6784460038825,
399.98854203060216,
2.4437958991932573,
399.9999147565623,
399.9999081199272,
25.869598256976943,
0.08284475915842915,
32.57791288134504,
0.10395720645304252,
391.50156966741775,
395.3478095513415,
399.10355911419185,
399.99999472220793,
396.88726867065,
0.00000193302733819678,
0.003367070273485595,
26.57298248057909,
5.28582256802157,
399.9999983351938,
399.9632094995458,
34.91803861402219,
349.5503141109348,
399.9998102047267,
399.9999983994047,
15.239997992348918,
399.9999978004772,
399.9994780819691,
399.999765276263,
395.97802357501274,
2.75729323602405,
399.9968251188796,
382.1521427355759,
0.0030018368510686955,
396.7504820819379,
0.2326759950169066,
393.50351667341954,
398.6567731289208,
0.0000030732925981880044,
0.05312631722111938,
98.50756001462446,
399.9991017508206,
0.000022849655523238255,
399.99952922753675,
399.2075905828467,
0.4411720336748415,
0.012038468992314755,
0.21503336753150304,
270.1547996314327,
399.9997604354673,
0.0032671854373278464,
395.16877835888664,
377.45056803276225,
0.001546177352262923,
136.23286087484976,
387.57617993411134,
0.000007323624551247576,
399.9993525990325,
2.33957528291302,
398.5924438323866,
393.1677921096868,
397.76957270261187,
399.86675003704545,
0.0001290016638622049,
399.9463139472895,
0.00026280490679209123,
0.4173104051610421,
0.000809284055081072,
395.7925437700166,
1.4037571636940749,
0.18130895863901486,
399.85613549727503,
396.02543609963385,
396.60650134412697,
399.9998439333292,
0.5719580626653453,
11.148569795830054,
0.004716929734160935,
101.17782526556032,
399.9999974525186,
0.0000592649531894196,
399.9986768097467,
0.00007990452799422343,
399.99999628153,
4.031398371613215,
32.88730050488291,
0.000040628935771280794,
0.0000036726602647974005,
0.0002384579735226211,
399.5257985951619,
0.014352307051024304,
4.302028624198417,
263.427886313648,
0.03405782856096273,
387.07313443607313,
0.000012635160140384016,
1.6047924931529067,
399.9999973376916,
0.000002815315536253138,
399.9999961697789,
0.04351197706180532,
399.9833463265983,
0.0005641713064052922,
5.384499942871734,
234.7881857250376,
383.6607316979426,
399.9997239891733,
247.41766765291945,
398.43694697529656,
211.88040076468363,
399.9999550263343,
6.772615311675856,
0.000525797297434849,
399.9761066398639,
399.99999817178445,
2.086729643494789,
390.48226087941964,
32.07443650954895,
399.9999440793419,
6.710972188343334,
382.3267622502557,
394.3085567064148,
399.1663123089717,
399.9964895764359,
2.2142115362939085,
399.99976967669227,
32.82979615593873,
8.97012442429299,
0.01107052797097996,
398.3382578573327,
365.2609571459876,
399.1833576395493,
399.99893271444745,
3.7539441917821215,
382.10990086522816,
0.03130035107636875,
398.8598687104063,
333.06324563572645,
387.84954476265597,
397.76942869814735,
398.78125697039167,
257.7217423640242,
399.6923418737683,
0.0007230126228607858,
0.2405148091239706,
397.5240513118086,
398.75669537879565,
399.0977397732446,
5.237503135171573,
0.0001979769880700033,
3.150002827756304,
0.0004262020153245061,
2.3254524960788503,
262.77884348086656,
380.03964646369406,
30.928570970860836,
5.769474544094044,
0.054005228989040255,
375.44910498654076,
9.703155301993549,
3.522187683650624,
1.2247479742497402,
399.99594212800076,
2.464863945984108,
2.647445875239751,
399.9998110445708,
399.9999978291879,
399.8942592551288,
399.7394030402553,
1.5618627054598377,
0.12621640629602027,
0.0000029541816104483587,
3.2192191261895653,
182.52113634676746,
393.0947489952369,
392.4140927319104,
0.00043401779821206077,
14.740137206315907,
8.459450624410781,
1.2992909920425344,
399.10994225775863,
399.99573565265985,
1.4604882090756721,
0.5505017452704486,
0.0046318130494382714,
393.10290447683155,
394.68196250111134,
376.43431199751217,
399.80893578022744,
399.9997742049716,
0.0003624198625429287,
8.12303877135918,
0.8991539767842838,
397.4726025226796,
3.4954653407565317,
0.0002763827814611375,
365.36189708861116,
399.99011731043373,
0.0010019671032202027,
0.7980451920621245,
399.1696198105269,
0.000013313201674414188,
395.62819822526603,
0.005644066834475936,
78.88868385784677,
0.07321449326103124,
4.004793660320205,
399.9669542053665,
0.6153315045462016,
399.6403865724765,
18.41123345598481,
399.7452836412904,
399.0428146800847,
252.27173284184872,
365.3569039786265,
0.0000031514572729207657,
173.1970389995904,
398.5282449200061,
380.2529077836093,
399.9999904955125,
1.7563207569810224,
398.4532000251199,
395.40010494093104,
399.9859817978974,
399.99980700233766,
0.00033407049520040033,
0.00042786314444764884,
399.9676892905024,
399.9994931524755,
390.59895200191755,
0.3065790038240035,
26.689045334430972,
399.5966175630473,
399.98342284573056,
0.9461506841901945,
372.1883964059406,
13.926005311212709,
0.5643813589807589,
0.009910936284618366,
397.6414346007983,
399.9986082563357,
0.00025150724007882985,
66.84682996377605,
398.7318493151024,
0.4146522128727348,
396.88219761691914,
0.8155668118903225,
2.905973454381261,
399.6944309366454,
399.9944064832778,
0.000010098334501940087,
399.743329275249,
399.99902817562344,
399.7930827865693,
19.767022160960224,
0.0006512381596213146,
0.06317265023263463,
0.24487647118784928,
0.01889453773180616,
398.25043947957556,
8.525395685444392,
395.6887639920333,
4.983227994142481,
0.009448297615688439,
12.298192220340741,
0.002099679690137357,
3.7314546413437455,
399.9966384340935,
30.29825531258441,
0.7955551741144484,
312.1673097498675,
376.1912786703707,
0.512792993087019,
269.14913216458444,
3.111360893126802,
12.90688840942391,
399.9938079142521,
0.07959299207518367,
1.7475021328153373,
0.01018202889919717,
298.9916145952895,
0.6932776228287363,
28.262979357472553,
0.0000028480175329193003,
0.06726612352669914,
0.3398997041915264,
0.0000022879285355159595,
366.2143311171364,
1.072477892682766,
0.053368831546274365,
0.02929982779225071,
0.0012518623039747823,
239.19110280831006,
399.99972583990643,
0.9626560730443323,
3.274965841875943,
399.98781777732495,
399.7487480428732,
397.59949581776834,
0.00026013988869699745,
16.339809339061027,
393.04873717639185,
2.3656366932461426,
0.0033286376898145065,
398.898719840372,
399.9998050122898,
0.000002140169019781979,
399.9991310495515,
397.8717072579206,
399.81031492552114,
0.000001742492461431766,
75.89258886828736,
396.3161546727654,
398.9545224105261,
394.23216076640193,
395.12418337343667,
398.76740852411234,
0.11011994629597233,
231.12744904892503,
6.676992223106093,
399.82399545930616,
399.99977806501334,
399.9999115744874,
399.84063295429104,
398.0744875127413,
11.284349741218303,
399.99999759319314,
0.006281349329562147,
397.00993578416995,
393.0335593308292,
399.99997290939814,
0.996883148092631,
2.5894994674231064,
0.00043067862944834445,
399.99107657555567,
5.762286616469603,
399.99999294494984,
397.2584933038624,
396.0473020539799,
397.4108093228042,
0.00011338027199325751,
362.8448755744792,
3.648911050725756,
243.2022751995628,
399.6214700057954,
399.99957526531017,
351.33581741532873,
397.88145709990357,
37.27522216712864,
399.9606430370524,
396.6612816169549,
0.0010421174935437705,
390.03769087030616,
2.2459431064274282,
1.9206413194654104,
72.20061298120137,
1.5495885038005586,
399.99999839704907,
0.007394219963008375,
371.396155738338,
399.99999092732736,
399.44485963445635,
397.5694268195275,
391.61299455510215,
381.4503437002587,
373.880210060935,
399.18821680460957,
0.0000034070857468648796,
1.5018546370281438,
399.9994704489356,
381.74255989153994,
399.9902637167258,
1.6668973150341992,
0.08240133813930406,
0.030412124217416014,
399.38266134654276,
375.74793562292365,
399.99998318479425,
398.0241407456224,
399.96710505372437,
0.0003462302635037773,
398.405865147938,
395.9112812511501,
0.0002904209947862668,
399.99967636891176,
398.95611316185773,
17.600379927771414,
398.8551445194111,
399.76871190384793,
0.0005257706112704597,
335.7507749009558,
399.99999395834016,
0.002928221431797162,
399.99986607753993,
0.45782153303111084,
12.241054820737475,
303.1118389313592,
0.0000022030676838369345,
217.84970240424136,
399.0479674904594,
397.65412900213215,
0.0005172544258469358,
0.0030738065163848916,
395.6097772937887,
392.67895759991643,
367.42112566710597,
0.022352604307651625,
399.9257508360666,
397.2261434151428,
2.383762237192788,
0.6490035731789856,
0.5461136939846734,
23.31847507191711,
1.617567530713404,
0.000002647955610335373,
399.1319312893894,
4.686934804552911,
399.999984372393,
399.9999973943349,
3.6518379091277753,
389.0514817502151,
399.96947653150164,
0.0020423494353716265,
324.4424498860808,
399.998839724479,
399.9989050076145,
0.3177869787212684,
399.9021559247113,
0.00009612520348589726,
391.43761667549626,
399.99998093585816,
1.0751222886825396,
376.1010967539543,
230.92428973159963,
397.52523794583476,
0.00027753502156446785,
399.9992708218377,
0.23251950859795034,
399.999763693552,
1.6307764274741121,
0.0000016061650232046532,
126.55738848950442,
35.07094004228406,
5.791328092107473,
25.04703977894367,
97.7992659617534,
27.53851940353338,
385.08077858515946,
341.12016488044407,
398.7534445788274,
0.5146895218151037,
396.69083896671793,
252.03018238339982,
218.11321803667005,
399.99999839645454,
26.777624652632625,
227.3702648891522,
341.9899933810271,
2.0643398835799243,
0.0053351339030172085,
271.62206139600715,
372.44592878101884,
3.7343803164962663,
399.83191377040635,
0.9121137658070877,
394.998124958414,
21.09921818002849,
399.99922898271404,
0.000013201312176747138,
399.9998098250068,
398.20087556749655,
0.9067804384155886,
399.587452484718,
1.0640109181524027,
399.99924804450745,
0.8030195753115255,
29.580432714875894,
329.19387938662936,
397.49553205450576,
398.0227069897011,
3.5079996582467077,
399.0619768976405,
2.1802390790222725,
196.89899314971905,
399.0019616724826,
399.99557151301525,
399.1003524352932,
2.3771040266947985,
399.8620681801123,
12.864636370964,
0.00010356861186444632,
399.93321896141464,
386.07286889548493,
0.000003065281761749361,
399.96156787133907,
0.000002191333048351396,
0.0000021872025746105805,
193.4339702664603,
0.014701613045242645,
26.56546075083861,
399.9999872669763,
0.05965445486264542,
0.01145812378682276,
382.0831126646711,
398.1375729225674,
0.08064473959055185,
399.91483693912545,
2.2489032736962455,
0.6821936004677287,
13.058067180390331,
399.98497183027683,
0.0000026426517640842917,
399.9999976777531,
399.99998571430035,
1.720196284055886,
399.58712745386543,
384.07686484270454,
5.003376487954747,
0.03370712334436199,
31.97789730674514,
0.00029533978727069865,
397.3166987816806,
399.851772154163,
1.0323827946111974,
0.0000023248309499734887,
0.00018805279140554632,
398.0230054456614,
5.7198073198880595,
399.99891396659376,
399.7739090470934,
0.0016398783697191277,
2.6495833750298514,
64.38478043058468,
2.2533691600865158,
399.7581054796116,
397.1961431715354,
9.945713183547733,
0.00019715521255569968,
395.2782742779748,
0.00000228903358490129,
398.82898054392433,
166.59335166207424,
397.54602303881137,
6.006240416521846,
388.3232382712739,
390.1207426977032,
397.68125535165905,
399.99507195910905,
398.8908403984517,
399.9999978143553,
396.7263376633164,
0.0004376040814157989,
398.35339753453826,
397.40907622060143,
1.0500893336151451,
399.9999821970019,
30.95467537968759,
0.22895202323984787,
4.428280535883045,
399.9750499128277,
2.4451566063855568,
4.45299313743075,
381.9823704963287,
0.00004561038655648275,
0.0008102374923879552,
398.8489491602774,
0.28047748193174016,
0.003712918496234785,
399.99861342059637,
0.8823042032742423,
264.7246457533158,
0.01462604226980524,
1.508594925948592,
0.246305507053024,
399.99793025192906,
399.99997947046893,
399.99999838849993,
214.29221035242364,
399.99972406439446,
385.0779291353668,
4.33012337866614,
396.3292761048594,
0.0013233897725450916,
385.5950049428075,
334.054121140431,
0.000002222929773587623,
399.9997565083611,
0.08001618617623496,
390.90614308516507,
399.1813854596696,
17.364193318443366,
399.64142416572525,
19.90793119844245,
21.591096156511092,
295.4556449587461,
0.000007453995820583259,
2.7223388243259317,
397.22826851571523,
399.99953445696093,
228.34961438431455,
2.2346019757781166,
282.35627909693346,
0.000004613119619634176,
3.212755431049752,
369.4242506667804,
268.1483928273894,
13.844603350025931,
399.9999955859985,
399.9990162166509,
397.23467836739,
399.99999541028666,
0.04816297430030314,
398.6096854562458,
59.68890897330823,
0.0001623441147069471,
399.9999978119618,
399.97191231769625,
0.000002920453456844996,
4.931109997661642,
3.70343426987223,
395.9095421663285,
399.999993260099,
321.46379820107296,
1.9486829395696459,
0.4487433799133411,
0.0014581144020642256,
395.4591914362517,
0.3346092595964745,
399.99982740759543,
399.98982656155204,
0.00004871248693305574,
140.58872578249765,
0.36893569703853046,
215.51610388624704,
0.035460671341480676,
0.000187280805818979,
0.3183194827461877,
171.9661775336699,
399.9709229201216,
386.59816739974525,
380.67584509088704,
8.145043137431095,
396.2585983521941,
393.85125700964136,
0.005042220830508981,
42.49334695712312,
396.17604528577414,
399.9823618161168,
4.291284351912528,
0.034575825758231815,
0.0007620704215005603,
4.8303445109544985,
0.0010374689554337735,
0.00003067788292288043,
0.000002998887604910294,
399.997368066173,
54.86422456707973,
0.0026796406416895735,
0.000024642306817312942,
1.5438126564863541,
23.168212196446824,
399.9995720950174,
0.840032923648315,
399.7416380911599,
374.84645115504395,
0.2389220125502023,
2.847281493695797,
2.6431663087163493,
23.523695855479577,
395.684319153063,
1.7795649642620148,
0.0000016263581592568244,
0.025047342002082473,
1.3244812373343073,
3.1253522626413233,
399.98341865934134,
399.9996149303704,
332.26095676240794,
393.1516748971677,
75.74342940904133,
0.0000029077093399720866,
399.20406611569763,
12.890706773699701,
0.000002544590160802329,
2.2744581414595455,
269.98988045663583,
3.35719552301601,
399.9997933086834,
181.29541778561523,
6.837670543955032,
0.00019147513239392566,
365.8250349438616,
162.52327059402808,
4.996787891333709,
397.07223725073686,
398.67409104348053,
398.858405385867,
12.760940791660481,
372.21701952667195,
399.98571754319494,
0.0002605569656699558,
2.557058629423259,
3.920116030233478,
0.00019915461415553892,
399.38615352091716,
386.3372218098318,
398.71690811348407,
399.9954248864633,
0.8606952847486804,
396.9119106470786,
0.000010873420275281376,
371.61921800671144,
0.0005625139009257651,
0.00010608290452740476,
397.46716163042026,
399.9999982664622,
394.6967357562978,
0.0000044375323859924265,
0.1510619277583558,
0.000001622704637327388,
0.0004295217760796888,
399.17741196843787,
2.2220680390378833,
399.9999983734092,
21.532461048237206,
385.47405356473405,
379.2530508448496,
27.77904849285482,
398.46369256408815,
399.9995145636026,
399.99979392605525,
2.3319378294106796,
399.9999965662184,
0.0000505945944473396,
399.99999638476993,
396.94550160315094,
0.0011391732723131653,
397.1625012243015,
399.78526354456704,
0.000004894273697431117,
393.17105957427685,
382.0310106463026,
0.000004568754463640801,
31.402202497422028,
10.057110068131013,
0.2123985012947971,
384.61791928053447,
0.1945239341097471,
389.75380957576186,
0.07809586999574236,
372.17733402921266,
399.98753942006726,
0.0018110633403178866,
399.9983136765737,
3.864930653125742,
399.9906818726778,
399.9994072862298,
396.6545888971793,
20.892391687950386,
0.000002235758000956878,
0.9273110469703916,
383.52826861560266,
7.896307580610462,
1.8000301289189613,
0.3349054307260291,
2.741121782135747,
399.999489799883,
399.1538826134157,
399.9999708696177,
4.985033220632151,
0.00010019918801340566,
0.1329156756205485,
397.58341892097945,
0.000004628150906960116,
382.39310042044514,
8.441025599594099,
397.5317283137993,
4.671371254784695,
0.01906421480613041,
0.010033121359231956,
0.002087914930570811,
399.9996961767831,
399.99981184584345,
0.00016691783197853027,
399.9999877453523,
399.9994835104605,
386.62720924203325,
395.8725547980521,
397.6859744132721,
0.878508110963061,
364.70420923763186,
399.992352609729,
399.99999450299805,
399.9995831901427,
399.9975447632399,
191.48898984466024,
381.4620857862048,
398.942762289098,
388.89182271408293,
341.7876896755942,
399.9597925785511,
399.8457030799164,
34.629650654136746,
13.221618169876969,
362.8988819893369,
399.99928527124905,
399.9998373886887,
0.00245824193176869,
2.8131006512076118,
27.299172220406366,
0.00003736745604054903,
397.6243075046754,
0.0000026295637889361956,
0.04068869567650513,
276.70721222706436,
399.9967783661982,
3.025645481456962,
399.999997738399,
399.99999584965485,
7.407601131550368,
364.93645198038473,
2.5533694426434383,
399.9994143109598,
397.3451098758054,
399.9989424613433,
399.1557230202841,
25.571835939884522,
399.999997820028,
0.0000018952575953079531,
0.0010227330298206994,
0.0022145643361559664,
399.9917624990131,
12.38535456409149,
0.0000017756897063847532,
0.0000028835303034213666,
399.9997969560552,
18.68758800152408,
399.9994292974831,
399.010991440847,
2.7480679821707987,
4.815463961778765,
4.261240271076816,
399.9920873098305,
399.9944045460975,
348.04454709726105,
0.019068324949800264,
0.0001843514663590895,
0.0009827324010780458,
203.06028446807113,
399.2040945684777,
364.75505671581294,
385.49008111136385,
397.16024918400166,
0.0034061450807643112,
399.99641451420354,
339.12622532029457,
210.9917411568941,
0.7217933487675188,
0.0648524965258579,
2.922386920147213,
397.01790605236084,
4.800270316419186,
0.00032642709599794983,
0.0003153043592218907,
395.15380136999397,
385.72310282488166,
399.46645243627444,
399.9999965707199,
399.99856277691816,
198.64789150433091,
0.0007739907873727248,
0.15706384138411966,
0.00015791442666834854,
399.9999981400538,
0.0000023272062721346742,
3.9989437083635337,
399.9532035854794,
0.0001935553719523142,
140.20940948323576,
0.0017068738319858667,
0.0000024730046233045755,
390.9483784025437,
386.46301606356633,
256.2443856947201,
396.5755995175111,
399.9670783177418,
399.9999900020133,
0.001948770069537531,
399.2022078729492,
163.38681352204924,
0.0008335180699647893,
0.041886737993368506,
27.55754999146618,
211.18285362574065,
399.99998771207163,
399.99370343667306,
0.0000028627470616271466,
373.40256021646275,
0.28437653536592666,
0.0000042206510064701774,
34.899722711701365,
4.6604837463553705,
2.238964836263513,
6.238663960773305,
399.99999825005625,
2.333677750502572,
0.0004051320359410582,
72.97178363044361,
0.5464236691883784,
399.99968152765774,
0.000016621285814366615,
0.000021553740192636894,
0.884160272505019,
0.001237657359154376,
30.02778672103703,
121.64027897215199,
0.000002173101609770356,
399.99999756515547,
5.650806216225446,
0.4139252345404021,
399.97831827181136,
385.7837461005309,
391.4302743939037,
367.663263664462,
399.8862245913184,
0.017113787961764437,
0.0001924987838020087,
399.9997424046553,
0.011278285039351132,
399.99995488520904,
386.31375679920524,
0.003962963908454853,
376.76082466485457,
5.990701556705291,
0.000002298271173373223,
0.7463032240150103,
383.922751148455,
399.9518601793956,
4.801017876923486,
0.9287115199580587,
208.98936281486291,
398.0099684058086,
183.84687935297148,
0.000009657718713640406,
0.4532294378905899,
2.4789620756752173,
244.00321251816553,
378.1750618029169,
397.3792785323714,
385.6190056258392,
27.687593031018352,
0.26566014328937015,
4.870286805651403,
395.9250160769552,
0.0000016448891804188293,
31.685412458002006,
395.78584880303146,
399.81744533845006,
389.7409466790672,
34.22884423650467,
396.26949781989265,
0.046799682195119985,
4.1198631478149395,
34.14131466066601,
0.004899143818848373,
23.597670671718095,
341.93143881320236,
0.1236371668995595,
399.9999974547496,
35.348305055798136,
399.9991805920526,
399.9363832879519,
396.90641242889075,
376.3266448746505,
201.02562062093088,
399.99383936580523,
336.1041724927433,
364.68810362001875,
0.06231878743692132,
6.302467823064961,
21.14227924281238,
397.8498526961223,
12.849811478401808,
246.96476950306882,
397.234493445866,
0.05611065845714247,
399.53799794801165,
27.80411519706263,
396.28724352321314,
389.9550103551234,
0.0017308507337832069,
24.01526084552572,
399.99997599512307,
0.03653840487580773,
372.3086805599667,
399.9997894831301,
0.47351465073210974,
0.00046107643232318196,
0.0038166093212277374,
2.7780856077645133,
399.1733191264705,
10.920701994607862,
0.000010136514716485578,
398.84899135507544,
9.128730833905507,
0.22949403886109998,
399.7404558869296,
399.9995934338144,
0.052780336503532865,
399.99999465895854,
0.0011884777535220437,
16.903795525354106,
399.99996983272894,
0.03642913012800175,
399.9956677036013,
316.28602862503095,
245.90673170007773,
399.7841814035805,
0.0008625068552703397,
3.0232506060656306,
2.8721885672728265,
398.3026090731204,
386.95946030805464,
379.02526410765984,
0.8066058427613543,
0.03600751259396073,
387.7822682824518,
0.8144636163215813,
16.479104932085864,
2.807415157387494,
0.000004915390583448698,
394.46690587251715,
0.2386101236305782,
0.09074067143490794,
44.23315100016016,
0.00036605147148982553,
24.64497069399083,
398.8344471898808,
0.7977882450180607,
156.69403325872963,
35.21607379538225,
399.9996951744831,
2.463600874279348,
0.002587149389476906,
0.0000042815639256232885,
12.50782602271492,
382.2774138785912,
25.84310693559764,
4.121149294618909,
3.016123486789568,
399.1359676871967,
1.7157788159896992,
393.789570288622,
399.99999689766895,
399.99999468776747,
397.2404847083213,
399.9999085304077,
174.27421991291305,
375.6679614765163,
386.33342328563634,
0.00002236392042664903,
399.9998099704794,
399.97970036926847,
392.22435673177023,
395.18525796339486,
0.0199691636140642,
399.6911405580195,
399.99998743362,
0.00032613444722606744,
23.263272737483277,
399.9978173922773,
36.83877547480967,
0.8620163730998387,
399.6877022445276,
399.7782917471679,
13.44205954690818,
1.8509846340501346,
0.928835551544549,
0.00029953140512350984,
0.01549556590703105,
0.000002189396197671556,
0.0020873679186239613,
392.4023937796643,
399.9999696773151,
11.84133398568228,
0.00007038834839434571,
2.3588083051604647,
399.99999839668425,
355.2068478336332,
1.8869728013103604,
0.0012184481301913408,
5.31710990976435,
399.99747444109676,
40.27449469038362,
1.1609460245843861,
399.9999976069565,
5.001053731719818,
35.21518457593562,
26.91201143878765,
395.0423889631261,
390.135417697776,
397.66781629324095,
394.78665432832327,
394.2150431917929,
399.9999981288384,
26.463914772012398,
393.96476671194796,
399.9999164216782,
0.40088011025134485,
2.2790647282433296,
2.306369920690643,
0.3351143370900589,
356.9019564339987,
399.0882163930798,
0.002121653138731361,
0.07866329363308555,
394.4538595150697,
0.004208449801068603,
0.36539771391257414,
399.9999977759927,
397.3699584014474,
396.6405885715827,
0.00019670627628975978,
0.02698323214607168,
393.74347465065745,
399.9992519616103,
399.99991088934286,
397.580479547248,
8.15175392245997,
0.02826445813552958,
2.942586909540701,
372.22244535932754,
399.9170791663735,
166.7295198395117,
0.0007496504168535978,
399.9844608628635,
0.000002652502328892581,
0.008678991454158513,
399.999996259442,
2.940198233484681,
0.0037958744004917833,
399.98834876085886,
0.08517363410420753,
384.54497854660445,
0.0012011814962242795,
161.15440739258503,
93.07458257312933,
249.34685175204274,
399.99931799292466,
399.9939565639349,
0.9329795967756072,
5.003099471426098,
399.9998899030148,
399.3885994553869,
8.045335829746936,
222.23782541587633,
399.9917949820705,
396.11060497771075,
399.999997221644,
0.00002809756078914205,
13.486442995177406,
399.99725779199713,
395.0901613468733,
0.00045984688501476967,
6.657221040397343,
5.461214980150775,
0.0000580873912747748,
399.9144511909912,
399.983199721684,
384.9124831961161,
397.8078197840587,
399.95894966159733,
399.9995854016491,
0.13072657335964077,
0.058268769442304524,
399.9999518888549,
7.64992045214965,
0.00002781972587850845,
0.003926655440222859,
399.9845423887896,
250.4300478567946,
399.99999519748695,
399.9541505990902,
0.11629991799444461,
7.8340086928208486,
0.000003085881816744518,
395.99854548249766,
3.140660479668056,
28.305995050603872,
399.9649970845529,
340.42742515253457,
83.5273109290094,
369.7146459799696,
2.8497543770893197,
0.08321675670255324,
399.85452806465946,
399.990259285117,
0.0032091476968032495,
399.99999752620334,
399.1849890173473,
0.0005147279255934833,
29.14125680994872,
399.998879039968,
399.95342815263655,
0.38238367184415534,
396.94786641547586,
0.000003090336209154998,
2.276406128487918,
0.0005203813055798534,
392.2769670680117,
326.1799708770323,
0.001963691649353727,
396.24152027506176,
399.9152144474028,
0.0005313400039286265,
261.60893116141165,
399.7781681771638,
4.686140659442417,
28.53441479596126,
392.2920684163096,
19.460563012499943,
0.000031620240337204564,
399.99930695966646,
399.99999529952237,
4.571701142582274,
0.8018615627397141,
35.11016419503847,
0.0005423034988849551,
2.128669498556235,
25.381091406495315,
399.9941707831686,
3.9416943363084656,
0.00018998948636550494,
399.9999978202578,
399.99979125542546,
2.0450917078760344,
399.99966251355687,
0.0004267128403068199,
1.3145740348139645,
2.7299038771255946,
377.226748255981,
399.80737772917206,
291.39986582247,
7.6420811459896765,
1.1859979395264286,
2.364973912412549,
388.1795109374316,
399.99988615535403,
1.454048841103317,
0.00541788857619796,
399.80905325695255,
394.323025971756,
0.0000021639578351440036,
16.59408570165397,
376.60923216187206,
0.30416150152430266,
9.780623343033845,
50.41766288950642,
116.6740952902281,
399.9996685419966,
2.3646713770604677,
397.6195481941728,
399.999369805257,
0.006986893991722809,
397.7429052157487,
395.4468687411489,
399.99999557228404,
399.9994009256455,
395.10379139592317,
0.43838750034761453,
1.9062166919156187,
0.0004625436299976471,
399.99986839237886,
399.99977899489403,
0.07537909123982445,
0.002340823321578256,
399.9999923948778,
399.9985979419989,
0.15244768806943476,
90.97911536642445,
399.9998108731061,
8.064919437955954,
399.9231184266052,
395.015333070881,
11.624675501577286,
398.63730127910816,
2.2303666205068184,
0.0035366028316108356,
399.9641368470353,
379.41094219309497,
180.64238470651324,
399.9957167682977,
399.99966441670455,
397.3112766390113,
397.84562283197215,
0.00010891896142783963,
394.9647373909149,
399.9999799570224,
0.013987452046149151,
2.3170081991599423,
199.3579373607959,
382.80987328709654,
398.7841771462159,
4.039077696311821,
386.47949310583255,
395.1871376255798,
395.876577755862,
399.9932769949989,
0.02183597813614213,
0.25744502313815865,
0.0000027012820202898524,
0.0006867255208486966,
399.99848843196844,
0.026588768813629038,
399.9727796846374,
399.99999818058194,
374.48697765598524,
0.0009272061439746793,
0.01325758578420988,
397.3752561992499,
219.5853270684295,
2.296673345397715,
0.00024260738806791693,
3.4225216849306683,
0.03530004878313786,
0.575270114480464,
399.9774935552214,
0.0000615980604967703,
309.9377324018625,
1.652271775028935,
395.8282028951361,
1.053870737582896,
399.99999839558325,
4.503018423782645,
0.5027046580271977,
392.69187323786656,
396.76454646814665,
399.8391586296645,
1.0645119370541911,
399.1117859770766,
2.124389994811726,
399.99423570359033,
0.0003102397094112419,
2.116700623128276,
0.9167634826448667,
262.8452942311374,
3.068820748951029,
1.0809825175226662,
116.23899067881945,
399.1378294790484,
0.8724448479526137,
382.9821828799175,
30.240189975117193,
27.125455829491884,
399.99957445717047,
399.999810494525,
0.00002267777585718278,
399.9999724267351,
5.570981309049783,
0.8963561082813154,
27.79967473881497,
399.9966116336748,
2.4952559058952994,
10.251557707446901,
215.10430677647415,
6.377180981735098,
0.027701854684858418,
399.9995810728483,
0.000029544448620910657,
2.8217847087424808,
0.00029436710531349775,
399.9932130615398,
0.000002171583513010944,
399.7929358179875,
384.3131159868982,
399.23464364969817,
398.168554299471,
382.9804011470679,
399.95769874329284,
4.604970829528332,
399.20133168299657,
399.9915708001578,
399.99941766483715,
203.12711502743372,
399.9999971185978,
399.9995741356968,
0.00020040378450048024,
0.3208256748019611,
399.9999876768589,
13.022343079498944,
399.9999086017308,
395.2591588627939,
399.9999309453672,
399.9994462918319,
0.000002162909140679403,
0.005205627677296043,
0.3459313785719509,
0.010620790465232233,
1.4359803388311665,
399.99852028469314,
374.7132921754398,
399.9529795230698,
399.99999711359885,
397.63697985671183,
0.03606848351493941,
0.0000054582710795614275,
0.03947549423111152,
224.8682218226008,
399.9999979124695,
398.60453788819257,
1.0166598765114943,
0.000011970541269334944,
399.79614138292584,
387.4363911945875,
1.25891334199697,
0.3310846422075686,
399.9984149604331,
399.1367062039311,
399.99996850806474,
122.83687860233611,
0.000004560575406209466,
0.0002393780048182137,
17.835874156652952,
394.26509747348865,
0.10997952592366467,
229.7882730479035,
399.9859008449839,
398.619596062251,
373.3171472596667,
269.692570298084,
133.98661129722763,
398.52967020398876,
399.9924503800625,
399.9968728128041,
397.1114846054225,
4.1949064117096535,
0.0005998016022301655,
170.6255134699286,
390.56043504165115,
399.9995432210686,
0.001833539815532248,
0.00020524529753540577,
0.0000031050773730001424,
399.9997752728893,
0.00007001839112952268,
398.3478317893068,
399.99919212407997,
399.50621222462803,
368.3246106535262,
273.0591536306738,
392.1614904306439,
0.002348957825226705,
8.947037874734608,
399.99998712477327,
376.11953927380426,
397.1494273172314,
24.491992542124752,
2.498642998602696,
1.9476986870020863,
7.266173529429221,
397.1202941911785,
23.809632491077835,
399.1652950235943,
7.478962442774284,
5.167312680939395,
392.7366378594722,
24.6231614764582,
399.99230824259007,
393.578724413599,
0.0000016991365425766958,
0.3021515022245902,
397.26261540587416,
395.19353574497353,
122.59967871743027,
5.650744702229615,
0.0000050688128139242394,
1.888349528606148,
0.6256777135956737,
399.8593476531119,
395.20988352057884,
387.7624677670492,
33.21067612913065,
398.36640112871004,
395.111188565675,
5.6590840543855325,
399.99999838368103,
202.12116051683623,
2.3776226383367405,
0.002031912784561385,
395.6174987264057,
0.07521881560099697,
5.851389374108229,
0.0001162481037875196,
379.23455509490776,
399.9999495155336,
394.1529960691972,
376.7681862324034,
399.9999393336717,
5.034182485199201,
399.9998112670089,
35.09076636591371,
236.9181915556873,
0.48700841404438755,
0.25428751098000024,
399.8923078513933,
397.69205816739907,
4.3848375527098415,
399.8643209586438,
0.6967098884069101,
399.99975732748936,
0.3087483907849853,
5.227598102798425,
399.99591816885385,
394.25214255085564,
388.3093191598396,
0.1576009372917131,
2.6986929182802655,
394.20489487523,
0.003897227963478578,
21.45530152552857,
397.2373287824152,
397.9791255256914,
381.96304411176516,
375.7749895285537,
0.24314659311990283,
397.503406176461,
23.788954254791527,
9.727373194109234,
399.9998036914439,
399.99999519245597,
0.2992557717698574,
394.491621919474,
231.03981511206317,
4.962077481804683,
399.80816656731645,
399.99330456442505,
4.2251850165348825,
0.0030337920276179986,
0.000009115086641031667,
263.2227251471356,
396.4246803282341,
0.00022045775935897183,
207.82806440636935,
379.08045096810906,
16.22411573020519,
399.9995617069244,
399.999973298661,
0.0000016007265069006849,
399.9999887539442,
399.99999564131355,
397.76862447863647,
0.2167263195539837,
0.000005596897656445776,
397.0848396493017,
6.716790571568354,
0.010395522090700382,
377.6473546475335,
399.9898743038769,
386.779946992069,
399.99998687717203,
2.358223942540838,
394.73758456840227,
0.005053899792284433,
382.1830582157431,
6.450691252226037,
4.994179798331633,
122.10432243367086,
0.0005050263643502362,
399.9997846973284,
384.0947004363556,
399.99897931476687,
379.2306047957799,
399.99997461702947,
383.7891087607249,
399.7905715599006,
399.99989099496725,
388.11944254581636,
2.6899401576191195,
2.03417331939566,
360.8679910644451,
25.48362589690525,
397.7623796056941,
73.70611120685608,
399.19872548685635,
399.9995231117255,
399.9980058360463,
399.9999960098865,
0.5375119840645537,
399.9999974203738,
399.9999978010036,
0.003936542949500854,
399.98040984384835,
0.08898469666944742,
0.3854557421971716,
399.9887418458284,
0.0000041955076968136495,
399.99976712438894,
399.9425618495816,
309.5617644321992,
399.9999975463697,
395.542747506447,
1.996041970850504,
7.833116794956729,
399.90624900710515,
0.000002750158500930411,
4.222705078420419,
22.002401769418476,
395.2609717299689,
0.0027445700533146322,
0.00018977752744842036,
399.8511887806836,
0.000010668920080725286,
0.06981168618298561,
394.6577743234941,
399.99934955732266,
2.1960210827216553,
399.99995551881915,
397.941847681627,
399.48713524729226,
0.000025532455749655014,
2.844409936051928,
399.4700158117461,
399.0416166249045,
399.99968457718904,
1.1760768548579437,
399.99997734153703,
4.174459241079198,
0.43321705438783553,
0.7518125067224934,
399.97165211966774,
0.000007916141786523667,
399.99999685448256,
0.0038806203005448126,
397.74992312042446,
399.999822601095,
0.1061764045392044,
399.8833862661553,
324.74691097578784,
399.19950079398126,
0.0005288973084605075,
399.14942093946723,
397.5413505717777,
399.9258478314895,
0.0000022743500860400445,
220.59186756374407,
209.48804639688058,
276.12012804548687,
394.5300276256736,
0.0003513651325670608,
0.005513482219265953,
2.273418446974085,
399.9824295603496,
399.45796810033556,
399.97948482680005,
399.96605424486785,
0.8090261553291844,
399.8762802979445,
399.99734747524815,
4.059184650342762,
318.02419351910515,
399.9985612316377,
0.24892544194083932,
0.5093503607453087,
398.0003186444063,
399.98725592231017,
2.591714654100974,
399.8193079510886,
0.03048280725570507,
396.8462588331101,
399.986423811287,
399.99451733601677,
198.19992107681406,
399.99961251779365,
394.9620159736585,
2.5355960251035814,
16.743560753264532,
399.9998986860501,
12.056472835975729,
399.99793252112187,
399.6578503003545,
2.840271519813431,
9.881807789441321,
0.0003401029865512939,
19.694457363263673,
1.5591668399104863,
15.903412376093296,
399.99999695511184,
394.27401167146786,
211.7259083639942,
394.29367249235383,
0.000002805013554763036,
399.99903545311753,
0.002042013843150947,
0.000004875386783176339,
0.0002919560222691686,
169.1103015982192,
399.9664957882187,
0.02056128295124804,
397.7178144360746,
205.3785925364359,
389.7555089392987,
399.99217033165013,
399.9991209773052,
396.8662812855482,
397.04558095594314,
0.0001230558349440969,
4.787022234967497,
0.003696093677008072,
198.27362138608103,
399.9998836486717,
399.9995100646406,
399.9998841913285,
0.019607994329762235,
312.7939987410133,
4.298676146805702,
0.0004815727381979329,
12.672505048740291,
21.349316945917508,
399.9992699027403,
1.3537521406483455,
399.9999911114435,
11.738905303452608,
365.2548765823835,
104.85518868189578,
0.000002319723835242371,
2.5466836326527575,
1.8054387471939215,
0.04962710187126351,
2.3842971079901076,
399.9886144421171,
381.74546059759484,
249.808030445049,
69.28631441557067,
12.64696677136714,
0.0030246246442322544,
0.02039676118863465,
24.688016149581316,
399.1427290602755,
22.925332750593917,
346.59084967378993,
399.9994189235058,
397.30127905035744,
372.5138124314036,
399.965597069316,
300.07943937324586,
4.418422283360046,
399.99970944105536,
399.9999144905557,
399.89189469638734,
0.0017012242591096793,
0.0000018618585340135496,
18.92726630212065,
0.008966821604206032,
371.3173011404054,
399.86897790420295,
399.97312571656227,
371.8421234569072,
397.06610454437754,
168.56635514441675,
395.60878271159095,
399.98494197910304,
0.17791642296716148,
0.00023648943174858772,
399.99635204721756,
69.26772978190272,
0.002950676579360767,
398.9550480782675,
399.99999122205014,
393.02093092614297,
183.01194414424057,
395.20874418285433,
0.002446137036238305,
0.016149107169982635,
0.00042962058921514057,
397.1496630880944,
399.9999960673853,
399.34661400910113,
0.0004919521154889139,
0.06416825543378302,
399.99939807714,
0.005209102255632203,
399.99907661767094,
399.97397598096836,
0.0000023831844275790104,
399.9999830337728,
1.7249294924317038,
117.58838167814996,
0.16542695744852232,
399.99968244281706,
399.9999972013994,
398.71528209790495,
382.63938578803084,
399.99063409168497,
399.9999940974662,
0.000035126953945585626,
3.0204810146687855,
0.0008295887341525088,
0.6598646908532402,
14.371571244729942,
399.9999963136334,
0.000012332782195478842,
399.8196156380179,
398.7151582444565,
26.956685267523795,
399.99965680047563,
1.088928186805993,
399.99199620554487,
332.5741605244837,
0.0001309376316260824,
399.99998684061427,
398.9336641827676,
399.9992530279279,
27.8238819151319,
0.9317936124282111,
16.248461945387294,
0.0009114881052596502,
0.002611150770381876,
1.1286665499339987,
399.08274438982124,
394.9119095730259,
219.2039764840298,
399.99807332651017,
387.9433409756116,
0.042771101112926146,
0.0004582095803673525,
12.660003589553304,
399.97814781044167,
394.0866205790552,
12.355633030471713,
399.99999437707174,
218.58667875810838,
13.704098649262498,
0.0000030742243639636513,
0.05497803156115921,
0.001034211411687913,
8.597756153724179,
391.9384686701673,
5.567316371393094,
0.010370665775760735,
399.07678763961377,
399.5578169257651,
399.9999965891566,
0.000013844907265081474,
387.4018607658594,
398.48481025416424,
365.6429864864871,
3.727417596716043,
399.98644076351013,
359.6257764860658,
228.21329977351002,
35.06712129818417,
1.3632295513282822,
303.5953947986611,
32.69229163014358,
6.201154687368571,
396.46999821628214,
3.143949849120098,
366.8367259387874,
1.0506972629503286,
9.51413966637742,
2.442501387209073,
399.99846930439185,
0.00793681905515431,
399.99728307727474,
378.2259314301842,
399.99951807840625,
399.9999696202795,
0.03990798957091979,
13.645888128030048,
399.1996652422235,
128.73613139160597,
320.13401207462266,
399.99998319011974,
20.116964031149486,
396.5198299411131,
364.7962043439659,
0.07682031030828984,
149.10884388061353,
3.838295437352257,
399.9999983881979,
5.425547342426729,
397.66829384528484,
399.8189825993229,
399.99756179329194,
296.7645397728401,
399.9999957564727,
399.99761269178,
0.0004495670813620123,
399.9987839607106,
226.76264277834815,
13.145570352783587,
0.0038860880065438863,
13.469545706268239,
27.08678807029179,
0.0008390219923937181,
378.96905315463687,
0.000006898832105584063,
0.17609519050514333,
399.9755073789891,
371.6766662866041,
257.30588937474465,
397.46184885916085,
0.00041584871472988283,
394.35501553752465,
0.031353559049396296,
395.1980255337463,
399.99990859985076,
399.99999404211246,
397.3919824413347,
0.02406891302280112,
285.88421758089294,
399.99955333251603,
395.0578952795224,
399.81426586606796,
210.42320226885352,
3.266092587581415,
25.26162664464553,
396.569770545239,
372.5194285424866,
381.991092574035,
399.70477830678226,
396.8924317832563,
399.9999978112479,
399.99941428625345,
0.000014871719877795897,
0.7961396964071277,
5.095730561578438,
2.3157654261962923,
4.959186419654249,
396.00282075117076,
31.94611469512698,
0.009522302414266548,
216.62650949853207,
373.75759671091873,
7.789360165981596,
372.2337362306372,
399.7511149126542,
386.72384026598496,
399.9956104013901,
399.1991657957733,
399.99413926842504,
4.872478296717753,
399.9726729526254,
2.5436440317498032,
399.99988157752415,
0.0000029230193154816675,
0.013257385461451499,
399.99966674878016,
399.93222727573163,
398.4173020644434,
399.9955721049897,
0.0005585166643395922,
0.00011535453807720586,
399.98814804093115,
24.026717520975826,
0.0006160493241758047,
399.9832294005354,
399.84783134886254,
0.01832397491394744,
1.1076518045086248,
393.2427787530664,
32.66779174219992,
399.9996675575203,
0.052427023832213315,
397.6535363822387,
399.6910255407865,
0.052883112478063765,
127.01098404726227,
399.99976854975586,
9.809014968327201,
396.3920703244008,
2.4081874291569827,
397.8708225663296,
387.589061037748,
386.8357630629933,
6.6643364813469,
0.22635582466599136,
399.10549796081824,
399.9999978132538,
0.0000017563092313821471,
388.96391715103067,
84.39521515195648,
385.83255919149775,
399.99994415388716,
372.8302177397896,
399.99916133202004,
1.2252751182062926,
399.9899153446806,
399.99993759063244,
0.0126112851513982,
399.9999976291808,
0.018008979195482944,
399.8993518053432,
366.5233068728945,
6.343019853482357,
396.6652752091428,
0.00029573011066652555,
0.0012317196634414884,
88.13426043514114,
319.25499037500845,
56.89998446574167,
0.0028703217112902024,
396.18612279844166,
399.9999942760791,
399.9983008555353,
302.24448782106845,
25.973622228400007,
381.65790734354886,
18.52979634134797,
399.99856253238113,
399.4627779647644,
2.051606184033705,
185.74301269636246,
0.0005740861800385133,
0.0013930444248355656,
0.00045869708218404526,
399.04691216575907,
2.287810790156919,
0.00024147836701349235,
0.0005106699018320171,
394.2876836347169,
399.99540930904294,
397.48444247822385,
399.1963665661135,
0.0003095451440504604,
0.0009710007952579147,
399.9999974627654,
115.34108232148084,
0.8155124558376414,
399.99957405656164,
35.05017058285671,
0.00004620766651530772,
399.9999467435969,
0.10545503155166003,
0.0001999210825331943,
399.999956439606,
393.3990257461417,
392.3537245774594,
23.832837610208756,
348.79433911597,
399.5958685547181,
88.0587694673898,
189.74739932445536,
399.98468390989655,
398.7884442945227,
1.12294127252337,
0.15138190330785672,
0.000010966473995566162,
399.7548316738989,
2.66114881134476,
0.07726369393497023,
399.9905400101027,
399.99998510147793,
399.99891097772957,
10.242746165906569,
1.4444474246821937,
1.2657117443158228,
398.8222890688986,
3.8490265357195463,
5.077010187094788,
399.9999931088352,
5.726127583718998,
0.0814855139926074,
398.04271090375414,
2.231500585966173,
396.0516190343659,
4.136401087096964,
0.000008834566078697037,
397.4580145328116,
393.78776761369505,
0.004703832418173626,
5.794148821270673,
4.302756358540427,
399.9999943100855,
399.0291140169841,
0.0000066718548907829245,
399.9855269926676,
0.8257398010039108,
0.0000016018807613704666,
397.30752907960635,
399.9993840796284,
0.0023341088939643484,
387.44690030434515,
3.743184471054084,
0.0000022578592773214723,
148.0100378016737,
399.99941383831936,
399.14085437353714,
0.0055366976359216835,
4.082271859301234,
2.4449281420387825,
3.0253216499011915,
22.428351670274992,
18.911332496378286,
7.3767033670716575,
393.75369141492064,
3.2554917830129426,
399.9999632347422,
396.5361910600159,
185.55132744574126,
162.60243509805372,
107.34280419822619,
0.8154190687631679,
1.2539529819620698,
399.92558967277125,
0.002304976945421977,
0.000002225397910393667,
377.1474580170421,
0.02940056075138031,
2.527382508070608,
0.0000016323680407381858,
0.000003184676078404891,
0.000001703497165550516,
4.814712714087022,
21.63306301368597,
399.99980999724636,
18.778449639645988,
0.0000016323780993587889,
285.5155880270373,
2.721172535174632,
398.4452434972522,
24.02221423614361,
0.0000028306256671939423,
0.0000018263279555341683,
399.9145883679688,
1.5282839597551945,
399.99939568645397,
0.000006073210268020546,
0.005780752588169236,
0.00000572532490306088,
0.0011937346235058044,
399.99999753080766,
0.7973462541125187,
0.019822368903610332,
394.22263167412524,
399.9993923207642,
399.9985629156633,
399.72436418274657,
399.99842854234,
399.99117061105363,
3.083453623986032,
0.000028181004640970286,
9.643808178961821,
6.964297780314732,
372.4633128964611,
399.9735639525833,
399.99879999849696,
397.7689110964849,
379.20315389967095,
0.0004278768900300989,
399.9972063705005,
397.7310650686422,
374.89318317656847,
395.0098754498585,
0.000004630297745222833,
2.524799020712143,
397.7137368982435,
124.68161663171666,
2.745034437880589,
397.76397432133535,
4.038807463688543,
399.97142595779945,
399.99957466413167,
0.0002872343130677635,
399.08482278799494,
399.86378652592896,
4.668971114913512,
202.05191832892174,
9.733028971826641,
0.0000018633448783944573,
5.725465701824195,
397.70592975844994,
399.99979488500554,
16.18363968742309,
399.99999347330555,
377.2584223784838,
0.000002244200292267351,
397.0564600289501,
0.20771115581088573,
0.06941476187429796,
0.46863717446843367,
0.000006749391778804181,
0.0016009876117717425,
0.0000028038259047846736,
1.6219079746509601,
0.00007317870034384555,
13.195692283704364,
399.7904374567584,
399.99999735697537,
0.023458348542826357,
399.99970411760506,
399.99996574767886,
1.0098036976236902,
203.30922086538666,
399.9998786765694,
0.0000021533287375419263,
0.000019699343245527245,
399.0641446903336,
399.9602147293465,
1.0274477208924049,
5.240084945129264,
399.98576946453113,
0.5391689574324898,
11.305435804170404,
379.21893279942213,
399.95188215335935,
0.23193367618250527,
116.48807043003396,
1.9162998232748807,
373.0352682942055,
9.35438195698759,
28.053240061705576,
0.00004818120218352817,
399.9997635167636,
395.56467710489903,
0.00010976113420380074,
399.9990234334608,
399.48872215866294,
0.027173711488659436,
1.6381650713385376,
0.09661513697019064,
388.8649563031076,
0.4559827561225971,
395.6682786002337,
386.75056942652037,
0.0000742180360724376,
397.153754924747,
0.00006942192136705216,
399.8365535073611,
15.956042680478921,
399.994939840745,
0.14140729816585207,
377.3807859417903,
399.9999944096424,
0.6389825136071225,
399.6816266031267,
0.0029303729500718134,
0.00011708379665797963,
0.036863357447125544,
0.0001949219364805188,
1.1976081229116309,
398.1183693328008,
397.32427936685923,
0.0006197496623672194,
399.9217603136731,
0.004152617255437363,
155.59008877852438,
7.736517205869564,
364.8082374176765,
0.00021952769850841491,
399.99877684052814,
0.000002722420600065334,
0.7885947742531263,
399.9997379957036,
0.0000072177412047125244,
0.10922742054817469,
399.9988076394902,
19.276126579435026,
399.99968266617816,
394.5237729559204,
0.0002654232487797614,
399.6269647384763,
399.0210709799018,
0.19609570714100855,
0.6321913706671012,
399.99993660657873,
0.0001415706432750241,
35.34420262528526,
399.9999979986661,
397.5399474381747,
0.00003915723958414219,
0.000011986420589416014,
367.4070526475551,
399.9994870792029,
201.82455412955153,
0.00027627846972411163,
399.99937372273786,
49.169962677730105,
0.006874064944506486,
399.58927116217444,
399.8655469994344,
0.9038036758843626,
0.0000016969578187087109,
392.10545510692737,
25.37660014344507,
385.6172843791235,
6.519272841619994,
397.64511621233453,
159.46666846170828,
378.9248702877701,
397.7694214499846,
0.00029108672559008397,
330.21737389276353,
399.9999978345263,
399.00516187604194,
13.870889028334021,
0.0004385950779894898,
399.99921244142655,
399.99807067499785,
0.0013467727188576362,
2.231649870011765,
399.99964464231687,
398.99725851888155,
396.7869297311248,
4.932602911512185,
229.51478878047143,
0.9121184074844191,
0.12114288397813144,
379.0652434527568,
345.7973062572369,
399.59130155588076,
371.1120933821502,
2.262834469866992,
0.00000585893269455795,
0.001848894166744941,
0.06744509220220074,
62.910623242400845,
0.5079179615114393,
399.98876497535997,
23.2512617990269,
399.9988783903479,
0.0000035970872724888636,
2.7786664296796326,
399.8874031182573,
399.99365113480457,
388.67822582804956,
0.00028478170022161464,
0.000003950086502335637,
3.4696285194670162,
399.9982928189011,
391.03008914133505,
0.0000018849777072560414,
0.9828698884954745,
5.715071561007301,
0.001286712675097057,
399.86922847797183,
0.273519477239037,
0.00008986307531433368,
208.00187661822198,
1.6888145228256546,
219.85014126347716,
5.593344190495286,
2.231092149078018,
399.7210488499304,
377.4688815152212,
0.000019587599320303184,
394.27984759572405,
391.7629726387309,
0.009932244694166315,
96.52569912993305,
399.9996364001425,
0.001570166793096739,
0.000293524642902554,
399.9999245990035,
399.9877071060025,
382.2604989742147,
6.792183396606766,
399.9999979642722,
399.9990863530649,
197.4732516099413,
399.9976757537904,
0.0000016526459756249778,
0.000001977308983214243,
0.1655736958824372,
399.9999785272472,
0.0002657347475842897,
194.3199826087494,
393.42209494684323,
12.999236345820165,
399.99996824446373,
6.080286374136024,
21.93923561309079,
0.0010847316925355344,
399.99963225287536,
399.9995624330884,
399.97469542817964,
396.72187498379543,
390.1097972418184,
34.24575127340812,
174.66267234544245,
395.36209145852376,
43.00635306474489,
265.4771966905217,
399.99999356937644,
18.748508161333287,
378.92168710967564,
399.99965731337363,
397.59273454097064,
372.18677246959703,
0.24279751457900733,
4.541710528426357,
399.99927676990154,
398.3598174172562,
399.9396636221846,
372.238155832546,
0.0000017399262031148055,
1.3132018105233234,
399.04620027220903,
0.541880899342595,
0.00038210580699526986,
0.9109126488080932,
0.507125931988206,
0.000004054214453041993,
0.0012163532982611969,
397.7568166427499,
2.6573066860951844,
399.918016007686,
396.9439181310921,
398.75792097109314,
5.5670459664020955,
23.873096224394395,
0.5601945621738214,
6.936404825966469,
3.2325607042126503,
231.58972694276096,
22.846992060759973,
399.3285097515418,
399.9787782995058,
0.03850426499811821,
399.8218081809041,
0.00021360996573793756,
186.59909831508475,
0.07343275627382795,
0.0012480658953206714,
0.00016792429300416245,
5.003094443868483,
11.056839749946379
],
"y": [
59.82645360058498,
390.6890153463539,
17.10927558651083,
399.09668019886794,
21.390558348870314,
369.4200346420909,
153.1787181848953,
393.01662214361556,
388.5232316347307,
399.9671857417572,
377.49010774285364,
0.15849005890014034,
373.67571373189367,
399.9892687834803,
314.5929359826971,
399.99707520224763,
371.84323672622287,
0.0011290463202584533,
0.0027319174050077777,
0.0845973991743687,
0.0004743494254499936,
26.50277572004176,
2.984951475703035,
392.3073550200052,
16.928305058746428,
397.929385821908,
385.91961838897066,
399.99929785540445,
399.44701240152796,
17.759573449498255,
0.5117998831453363,
0.4339615652615203,
0.004525044550174329,
386.9213436031002,
381.08187547374166,
399.998577181212,
384.7918341723782,
200.5112415139291,
21.687162837922223,
393.8006451498082,
399.9992603705484,
365.176698257285,
399.99934057989293,
23.951341221890623,
387.3422814966798,
390.4830734064419,
62.308459307590795,
13.596353381867532,
21.308238093251084,
11.861340253460973,
0.23620090154941042,
399.84048958211326,
399.9526645377467,
0.022351448087709613,
176.21738669759443,
0.04795969864768157,
189.15286334560062,
399.9970404409588,
3.7744139240893704,
11.332465150074222,
4.096033585715864,
0.0004605770828280953,
399.88945299335927,
0.3924362858116037,
398.7183502920811,
109.3095481309342,
383.3946538709897,
94.87047103446875,
0.0005897273488209009,
399.9264265309988,
398.43933528941477,
0.09475924044761719,
399.9708042152645,
389.4691749798737,
188.2478858239364,
395.21503793906606,
399.0166288294218,
381.43459208035864,
399.9733852668566,
15.86525719699694,
66.02298097377037,
399.76899058856094,
399.60794068121874,
4.162685153826162,
0.023726519904854193,
1.1537127466463293,
354.42024571188836,
395.87570726789033,
391.19904251088957,
1.3823606216453177,
399.9940856271935,
0.03859858029833241,
388.98786156287974,
18.63289041681051,
0.005146770777986198,
386.04858240835085,
386.6575620402783,
10.847696995714863,
399.8364297731311,
0.04456627444722194,
0.07503138498363704,
30.806881799587927,
399.9990327594301,
30.602722271648773,
399.9963481962828,
399.9467645961284,
0.004541509906963448,
0.45592368310769515,
0.04721181070770353,
332.867092968644,
9.908703720903112,
397.7082244072096,
0.0009025172712506802,
0.14878299859273358,
393.2084901697584,
3.971904081930955,
386.4336043111771,
17.142136932959495,
0.09952763261247277,
397.96255633067403,
0.0013127289373526807,
0.0006595612182414001,
52.71609558320056,
3.234881862800476,
4.261400461682707,
399.90020503041734,
366.63144672993633,
0.004612819999727513,
0.9260706487672188,
378.614271105607,
2.377114554598636,
391.7055303570587,
398.80078720314066,
383.8383483865117,
394.59804459494654,
0.0005858890249621496,
0.13910489237509704,
391.2675946028292,
1.156535097930611,
399.9952651735109,
14.192400893902168,
0.0018545731568009316,
398.8688468625143,
0.0018460709713785661,
399.99952551790597,
399.95490567417556,
383.0279184111554,
11.65091798882667,
399.93745227925314,
388.23994776828187,
373.08824859279036,
0.3814882602408698,
21.68392998199988,
398.31636679184834,
183.46422207689704,
397.28458897227654,
397.6810105757473,
388.46457712629444,
47.094742856527326,
384.8880195493654,
399.95338207746994,
390.4122703843293,
399.9995413010835,
399.46751195455204,
398.8690356056624,
386.3622989259544,
12.449061355958202,
80.20529616562911,
0.012059680046827559,
66.89164302710292,
340.9122035869392,
29.89057443358647,
399.999108235429,
399.98765169288737,
0.007254110615706466,
0.0008473501178940523,
389.1737229596329,
380.2368430395136,
399.60948817941755,
9.996774120238427,
64.6922568632984,
2.9569565615568782,
14.06103831518477,
397.37238093490026,
389.00125604750497,
399.99127370359713,
139.95248672842578,
1.910722523518693,
30.556175714231216,
399.9655799797783,
13.923930450512945,
347.5933905569248,
114.4704762675123,
361.0434628034598,
369.1505694738359,
399.99903563402046,
17.367181211282666,
383.0815523761766,
176.26405280354206,
367.0883271513711,
0.009334057733423329,
0.0006527874247153065,
399.9970148565127,
339.984987265792,
204.44065917396864,
382.88729150828283,
202.3583910256638,
399.7737311412441,
12.579949703837933,
26.806529876667938,
188.66680150357303,
163.46772755529037,
399.96198003366663,
0.0006321420172872294,
399.9995393151246,
387.2231679526211,
385.1078173390481,
389.44821345659966,
0.038900336929992285,
9.620280443481777,
0.09455400706133155,
373.6551631062114,
399.87701795552357,
399.9985049469362,
399.94423491966586,
3.2801516942726705,
21.657461118307708,
0.007132610317417409,
378.8142774106221,
383.0691110888277,
43.220189637427644,
14.403306220157685,
106.73264045596711,
398.17276676892993,
4.655690809348179,
0.2219982267839482,
0.03033887516896705,
0.0006350067522475911,
0.0077985727262142035,
0.7646460901369334,
13.648751665860592,
21.643639469521304,
4.207625841785023,
28.85550122036271,
0.0004582950217546511,
399.5768723758183,
399.91870431918295,
5.841086290433917,
11.66211283993379,
22.19545217852412,
0.0004946410192108175,
390.2842037458417,
18.57355512773575,
15.992962958689638,
186.05992855824996,
0.0004950579778784103,
2.5488024686308286,
0.03612898152380861,
383.25267167144904,
10.538571651369576,
398.56578940935384,
79.25011417479355,
0.0190937761794574,
391.55309230191017,
394.768872993746,
83.51842971267574,
47.50706136495702,
14.882269418973815,
52.31911071686515,
0.14766441619782356,
249.06319782086496,
0.4694021375650781,
4.689435542044329,
88.74051296667271,
0.2167806021035279,
346.71561320535665,
6.1045691605522645,
1.723983195639689,
0.006903496076948734,
44.66835932930808,
4.1222965801287925,
14.501740198181512,
270.7817720699329,
399.99637375407684,
0.012154348962711836,
123.71427055882278,
399.99874167138205,
0.1324827476007151,
5.0731891651466965,
0.004420743596766918,
382.9251668573269,
335.4803277189303,
21.402900085567,
0.026926155445639033,
399.9482643600765,
388.6718982788905,
397.02140733858624,
203.2842900656811,
4.096734048676032,
0.03124469418667175,
399.48663144936455,
0.03263391682692962,
200.40997605488968,
0.012869343391841426,
45.153104972628725,
0.0005119749311832678,
10.804497495734843,
385.6140720345726,
0.001900240298624567,
0.18217534724307427,
251.22053481255796,
202.52690385372097,
395.0929436022183,
0.008763107782971957,
0.6016283843132575,
399.6531092731628,
3.7161811439107018,
8.531380419472168,
0.07505513222489935,
389.0019474021096,
334.30709620949034,
0.03174947281070484,
390.66029893596635,
399.16926451531174,
399.93191465128746,
1.8130464572957194,
399.1578987334071,
398.02869696871664,
9.789889629122328,
397.9305590001393,
399.98640559027604,
211.92996886670264,
3.385364101331456,
341.8064978801115,
11.771046753640778,
0.3216964836323166,
9.781619272729136,
167.26837217402695,
0.08626299310732222,
4.474066475654159,
0.13928137530043738,
22.713961508525827,
375.67040054140034,
164.07886783723686,
387.12279403659704,
28.593892969067912,
5.140715752050151,
399.996863292851,
10.424536964563647,
0.01432656691917611,
382.90551992147954,
4.6752579171179365,
374.1034301229502,
382.96774763782463,
5.74167818930813,
357.6324415644594,
395.8684818618505,
399.97878108741514,
399.96860376668803,
399.9714213303089,
399.99942160900093,
399.99936396051623,
0.0038128571879125772,
391.1947752026635,
399.9988476288728,
18.729165597497264,
399.93928566282307,
382.9482774210929,
390.3572653485866,
5.766587184167027,
399.83630709149406,
0.022245819830013502,
4.795607898413801,
399.67367469610775,
372.69525265025214,
0.0009240823216183358,
1.244017027063471,
0.004574347448826899,
15.991848566094212,
0.04603677445780274,
4.182033966226517,
195.573458143019,
349.51467891603437,
396.30634411139243,
4.175483471680574,
34.098980742844034,
399.9579353500109,
18.97083821946812,
396.24242777738266,
60.56258941020811,
399.998478628118,
399.9836152317169,
399.51923465288195,
80.66575562280711,
26.082035407770476,
395.91165950259307,
399.99918834165203,
332.4348525284721,
0.055905611340412165,
387.22097076487046,
0.04804943610805523,
0.0005510442508072089,
195.10270921976704,
369.8432363238896,
4.302462519519712,
399.9767617547315,
177.5208432133723,
345.35369805438074,
8.435869774150163,
391.3705845284113,
15.220350368458524,
399.95844283627724,
158.5031245375651,
399.4482413362994,
94.2836615785563,
28.29702977517856,
383.4686359142358,
5.198909425624176,
385.00633840687647,
396.30399118513,
399.77205955831215,
0.04763273477830232,
0.2416026634362911,
333.28679239526303,
383.7326682762578,
396.2244918986468,
399.63235686030697,
9.63696178190987,
382.01219451218884,
0.059215553379821095,
14.478528870880103,
399.8498932804708,
399.77260881137346,
399.98694875885997,
378.0477280816779,
399.96505513067996,
375.27976415312344,
387.3247683706701,
395.8593391890804,
399.4145550148832,
14.194636045047982,
0.0007504056720231134,
240.18375851722666,
0.4229855698541618,
0.01653955617848535,
368.25859237518426,
398.17754375045433,
0.005836519925139783,
399.7117768184457,
380.40374031283386,
0.1537140651346025,
1.9397713119851723,
395.7300954948771,
0.4098367773846423,
395.2926049779377,
14.573706748960081,
399.92240284855274,
2.9189772674351744,
253.5000194762504,
0.02494142159461532,
399.9950942915911,
0.06522822837742304,
346.11745210638907,
0.5194346790922566,
399.79435183490597,
399.9600631404908,
0.000832804950112731,
399.9912702734248,
399.99822135173935,
10.203307794015103,
0.011080572528121557,
376.3957836821024,
171.79247211228918,
0.0019514374981932647,
395.6360885445817,
185.450182694529,
15.197850276724335,
0.07229676174826949,
31.10923617035364,
347.43431744447594,
1.491805779022437,
30.435342311748204,
395.3075940104868,
332.42277415774305,
399.5330053207196,
399.99943093126006,
62.095367021591684,
388.94208626059134,
0.003145975469198703,
0.03339891262592598,
1.9569576865452687,
0.15224998826999236,
333.24841745561145,
214.6399370651256,
195.76518734819172,
384.34952540158866,
5.689358659324606,
399.9376991804347,
0.0008091936592791171,
399.9803597143529,
229.29330004215288,
4.481955650247382,
390.1669979685973,
387.612262325017,
0.1417973319695287,
56.501912913910246,
0.004085825211963545,
66.38136380039397,
0.04852294771100496,
0.0018424526166294086,
399.52526306757034,
399.97525614990667,
399.9959258219045,
2.6682966116001294,
91.3137770348158,
398.8544221783184,
399.9699754262775,
6.307628253477127,
47.86333270617958,
0.2952369758858042,
9.659828357490397,
399.9670481933177,
370.06556975823383,
8.113355268951983,
36.93599126265696,
0.03187914168265582,
387.8424614047149,
391.32639227952825,
399.12417217197043,
399.84604798608234,
30.140479075743,
12.167385015071662,
389.855399303847,
19.96589702336953,
399.9702668173828,
5.822979585991783,
195.7953555332443,
0.0073210919210531245,
218.80395456389655,
399.96072317302946,
5.144010087381523,
60.79005154913375,
210.51797334529797,
399.99934207662136,
0.01760159557659957,
67.38310004757928,
43.432350930766695,
398.75091811410556,
33.49733016426577,
0.037551964915572,
399.99939503712324,
395.3209842848974,
0.060560151723110245,
399.9455948142895,
0.03627193295279163,
1.6443010383788037,
397.46219609870485,
8.757361981097734,
365.0810007214936,
399.9993659260451,
382.9099278759105,
52.89875589628033,
397.50562576155204,
1.8440631255312256,
3.409387197203917,
0.045099166397322143,
0.26926727732703437,
384.0777845075857,
0.0006626085650163205,
7.348896830318519,
399.99911020319854,
7.617137619938186,
26.861282076237636,
393.8824260420372,
390.8874549442561,
1.4069943755622427,
198.8117503720775,
399.97352130364925,
7.514405144580771,
396.14130861035136,
399.842888246282,
395.0276210126988,
19.600049773745233,
397.7201352566011,
20.90102187996341,
235.63546275563945,
0.02909882839361444,
396.8597675865136,
387.38325168338594,
77.34331184811948,
332.96744485817436,
0.09423956668388467,
398.6106383621943,
399.999485542153,
27.3275782911816,
399.9995340737757,
10.502431151780755,
13.590478815805728,
0.05459832649643559,
13.935795142255136,
399.8767436695646,
264.5508801586862,
393.0095981542869,
374.3546664017853,
0.011947843718562723,
0.035729184225519184,
399.689172174343,
0.19000015542325333,
0.5388115874444876,
385.0373362206543,
0.3559845190110211,
392.2799429160746,
131.2383328018998,
0.06691949083710291,
388.2399855968203,
325.1300285816404,
7.710084666329697,
380.62129775944067,
399.07668228531475,
399.15404367426504,
396.8488313016858,
384.87125326242113,
399.5343509257297,
222.16115028953573,
394.61954945244383,
179.08341929046335,
0.763559982774753,
150.48314665784943,
399.87340502981164,
0.028918469567473792,
390.8063325790655,
5.773232483956958,
0.08345492172379121,
59.950228265149974,
399.999535919878,
384.5498454387781,
399.97053531237,
395.92215079060094,
4.326156970835915,
9.561722541836959,
1.6949198734757864,
11.945902885248527,
10.888562796133062,
399.9704271851898,
392.92279494841995,
366.5342867467466,
399.1066140106363,
0.038781910878782355,
0.043419057360383206,
388.56883148537014,
399.9993607495261,
18.082647871754,
114.16015963615477,
0.04168914347062458,
16.446389144179598,
0.5810990171739361,
212.6983069652032,
398.60060779999316,
321.0802234261216,
0.01640821702055817,
0.001741443715674862,
3.6652226635741414,
204.4608982420788,
273.7719783825442,
0.39190386409317934,
399.98661541964003,
390.900414770246,
330.5562309373285,
0.017205797725483585,
296.1743293528602,
0.0028278933406733486,
1.7123163129844077,
7.1778520337199225,
0.0007960645012072831,
0.0005970109333786056,
387.86904651049866,
0.02423005280245416,
164.14356591799412,
44.050419264168795,
53.041812732120206,
12.835522317431769,
353.39709921401015,
9.317032864880792,
0.021365933129557924,
0.027484460818394396,
308.45481927402443,
0.013292180057367098,
0.45229122325298743,
347.18621898788734,
390.934183889931,
89.61420726933281,
17.13740111850455,
0.0013337887929676384,
381.9945559700807,
0.541464777846512,
0.11473803412671568,
399.93990987004076,
371.5364513926254,
399.98431451113527,
399.72082182014486,
7.951878213217678,
395.14224887237634,
399.961467700904,
35.807658762716386,
20.60508517015325,
13.67097330980036,
84.09007911935417,
0.907975312812237,
387.9229299889518,
397.90603250563834,
13.589455182894916,
8.034650810795885,
399.99569354816896,
11.667115827265961,
360.506610925428,
354.2372057446341,
16.16283879046032,
1.1339504789985355,
399.7579825281649,
196.90985449184825,
306.31217812872273,
4.380801276845503,
388.8227038364199,
386.2500733281818,
0.7843668874667031,
0.7455172457533576,
44.45564039575367,
395.0848777113297,
387.24370837306486,
399.9988637158439,
396.002997904816,
399.98625056574866,
399.9968469794605,
399.99951141456415,
176.75889859355402,
20.993979059150682,
0.17497128759325076,
190.995211984712,
399.48516015599796,
0.0021212038025186786,
6.162805142979044,
399.3211699344318,
126.10526672178459,
11.044715851983412,
0.27462314126633913,
22.54760898420669,
399.9674957947431,
399.98063094623797,
394.17847758468173,
0.743749724870657,
399.97042213588963,
2.447338657166509,
39.37678527268815,
64.61368523371229,
206.73747087600506,
2.4278704722916267,
395.49461792638976,
2.150704937204906,
4.768016732157032,
190.0560157047007,
302.4500779374688,
105.00176176511759,
7.06820924046998,
399.9476410517084,
77.71259196318931,
0.0019787108678004373,
6.954965387969514,
205.93810508425125,
399.9868023974018,
1.2229782987641213,
399.9993505970369,
396.05764405911907,
198.91536768118598,
399.966958696424,
399.8270224570414,
399.9629205695859,
399.99836635914636,
8.153610897866193,
399.99954209537754,
391.5270088468408,
395.78305880365156,
341.2389422483531,
0.04106177446654424,
387.1870506705881,
388.7512696423185,
49.07161331494825,
0.044212172307567243,
15.219276021969396,
0.586281171826486,
13.813651586962305,
0.07674928405065895,
0.35548073079867404,
385.45792108618946,
377.7653856147232,
7.786594231932353,
399.9690047331186,
398.3908218200058,
0.04764033075206342,
219.62510959258444,
32.413385922897554,
67.32324954929926,
10.82242645544813,
399.5754511215588,
387.087348065162,
399.99886834835036,
0.03060382443242915,
399.9987542585206,
0.26658764228002507,
0.005522714046990451,
399.97189994442596,
0.0009106201197317532,
399.9755516768695,
336.7187137395354,
368.55362410201843,
397.83085450030893,
0.26339853941008684,
62.82235340393716,
13.178154341970782,
98.18248517520125,
337.3473670918574,
399.99844315916675,
0.3158541903951262,
395.1868343971038,
12.226860043950838,
0.35765168423289584,
156.6699016659652,
399.9877648699984,
5.830125944413034,
397.5701840866427,
393.1829213801092,
0.044828741421620855,
399.99954074878065,
5.626758204437943,
62.48212911925628,
12.246238257385667,
388.28654969670083,
0.28133363453057836,
10.63054183935459,
399.95851663088206,
387.8740207249835,
67.33152941638325,
28.257545800150673,
399.87468570200156,
6.00058054846333,
399.987671531657,
383.62752444664176,
399.9871577771632,
21.67437948181259,
66.99174018700195,
7.795323987546743,
12.210152146670117,
367.8206509704266,
207.21312232860657,
0.09598241624040327,
0.064070323964871,
180.90423245750947,
327.72419664716824,
389.34657475381994,
0.005176776083382073,
349.18389510557637,
0.0119591216698689,
399.98805153803255,
399.96068487047773,
382.88310126629847,
381.8957493817019,
175.61448193772026,
399.9986477144352,
394.01126690200925,
1.627772337841038,
395.4061980648627,
0.0004979547505001847,
24.991844284126373,
271.7973070465999,
0.3025157410225576,
0.2621404557594964,
0.000759724788768068,
0.270854864138359,
133.91782067633994,
0.29088522585389853,
362.6250353605398,
17.006982876875455,
55.86351340770352,
18.706843149952633,
0.5904807680375823,
399.1422323099388,
0.03560253546897041,
0.01580128174194506,
388.63388366461487,
393.10579099889077,
399.9993518987498,
399.9984932291249,
399.9653019884695,
14.92855054231914,
397.87999372191905,
399.9992006940853,
1.511898430100489,
399.9995178238254,
19.74771698202742,
352.0752267721751,
4.969029654394519,
399.97884365513875,
365.58072135674047,
169.88030669905152,
0.032091674008971616,
398.3213183561824,
12.326759832326072,
399.07778267882776,
0.0033140381058283097,
0.06166351519272251,
4.110938003022202,
0.0019606880229616763,
7.5665000460076515,
66.32065433665097,
0.30047915081530263,
395.2411430470569,
399.97148510756233,
0.041818465890641754,
0.034112933994800976,
0.0016295701700919096,
399.97123056922294,
0.03355434392542378,
399.78713531549886,
24.180233341833812,
391.84157463926454,
15.648878267332321,
395.790419449128,
3.467545219137702,
6.103498094545956,
0.07604778579521909,
5.956779469612217,
206.38868805031555,
73.49303565163075,
360.92340710659425,
0.00279157560616472,
0.028188262708361833,
42.36555646661457,
0.010793464549774257,
31.209224241082655,
4.800511097602955,
399.98172690160413,
53.38262607096584,
399.97123982966815,
388.4927298429802,
0.00272427344574222,
26.9713697965241,
31.350116651499626,
0.007652726632434437,
33.08104632607653,
0.029782954578738696,
23.273751966630286,
0.06783330494832818,
384.53863706707176,
0.8432946376552231,
386.7075499555998,
399.9162168926467,
399.99938577088557,
0.0586111928498001,
370.4817517212048,
0.002457113016096635,
399.9994053045439,
14.1303774788895,
380.0256230415088,
0.5391876308650456,
12.187898971573086,
0.048462106140978456,
399.9987029946372,
5.157824876168449,
1.0025255553298917,
347.76153712645186,
0.29391330354797685,
31.201372855657628,
399.7943172256754,
0.00137608805157452,
4.272525392441229,
39.38310544800512,
0.5559707143005133,
7.623166583105578,
0.0008412593064388574,
1.1641713794753539,
375.53030252997127,
0.002997379587399429,
0.028734819559450564,
0.0006881764246013944,
364.36488606756285,
399.9799850577983,
0.09114258876845582,
399.71189720777386,
0.0004716924252967658,
395.2526934650199,
0.8625980840965441,
0.059782035051636484,
350.90989828815,
0.0006895796939465626,
0.8874547129310351,
399.7230855356073,
200.9526719430188,
390.97231398796794,
399.9988282546463,
9.818724686143977,
12.954572496507598,
0.4861580076615857,
12.273136705018771,
225.28897300614466,
24.836129854396273,
130.50486901730832,
399.9163349624095,
0.05616752956165705,
377.0303622329465,
1.1399376565297326,
395.5214986377563,
399.9995287710404,
399.07804495089766,
385.4280172227522,
198.45660693619791,
0.25380094944673637,
0.6668976576363228,
4.499554228741087,
10.25934979092571,
388.2474907542679,
397.9235150488276,
367.6102341657806,
182.61404014206812,
399.99947756743694,
1.5346855691939387,
360.4527733718388,
18.115385907520842,
399.88713796509813,
44.05583240885227,
399.53280040081563,
51.62837586610747,
3.8104059514916466,
168.72058334322222,
399.9877772577758,
42.80756295233586,
395.6579768611481,
0.045239975723943004,
392.35185816626,
255.94742673921792,
399.81742712344357,
0.001153340075199516,
342.6113871860979,
399.6817202320899,
1.03366426809417,
388.429373173555,
0.012012309308584435,
399.9994451294496,
0.047985225024516076,
398.58159035876355,
355.38656421614735,
399.996005853132,
384.05891432296704,
399.88574255414926,
34.820786908393785,
12.853600108911166,
0.3952045888941491,
0.0033866330206855366,
332.5114446214608,
390.63671401625345,
0.06522034832017187,
386.9575807904282,
0.050091064652191264,
26.299618052156305,
399.96515073433227,
0.250717794475408,
0.10738908236700428,
394.8282068395206,
182.02110868388883,
388.3629938935744,
16.354309095165576,
389.0379568397019,
0.0006334098031413049,
399.99951083782304,
0.6419194809998974,
2.5035616825637375,
0.05447020366493582,
0.06931204208391328,
25.383709222970484,
224.79386967926396,
391.99756968100974,
140.97185168090044,
7.669045673627961,
1.7912327432301867,
399.98175434740614,
0.3819129429955881,
399.82798320987547,
399.987986126136,
302.7783227997682,
399.1642967830967,
399.9694819674957,
0.5436995424815905,
399.1296674299715,
247.44495725188366,
362.31712634688563,
399.98770479776107,
399.92139486530976,
67.37936168988405,
2.21681228064321,
0.0056738965091174265,
0.002587305777734805,
40.69299452803228,
7.536407439659731,
384.70351597979413,
380.5884402531403,
204.25989552768914,
0.03089904154898182,
0.798337090523793,
0.014025310618226428,
90.00655983044274,
19.469649062509987,
390.1951632160913,
85.16397382114624,
18.740322501241934,
17.142819059426962,
399.93747096831333,
0.10876667201837886,
399.99904473298534,
3.063045398707276,
382.8607502700336,
164.8431309956739,
7.449732279889942,
15.672249845758234,
399.9342581779116,
316.74586801810676,
227.47954836447636,
350.0055025651105,
0.0014846969655923914,
14.820455726294423,
37.84724589125703,
398.61292586152985,
10.324160263528004,
386.7759280033656,
376.69976711811637,
56.39815408426389,
0.9597252309839766,
285.7193694553477,
396.4902988253878,
5.387234327748769,
217.8021808348387,
385.94331643860676,
388.7454552889008,
13.172203646953706,
340.33623380524665,
1.0487115434383742,
0.11230678566618302,
0.018441813040270816,
399.96920662200324,
399.77302779786197,
236.93506700049744,
377.25054971198,
385.207670626609,
0.012744264829689378,
394.32369221733506,
384.4456344472519,
161.10462337400685,
399.9987481158899,
0.05651998139677428,
399.985972183043,
396.22184043225957,
398.58553099369465,
0.013457992892518256,
357.06045745390173,
367.5457976934148,
225.3576994681552,
90.2784585904721,
0.07374838394356154,
388.2243780436313,
218.5729929746413,
8.430880059398959,
11.749819198228684,
206.90815058796912,
0.352645223247805,
399.1472651421424,
399.0231142868432,
0.36604385389165106,
399.99849104972907,
399.9992945390108,
399.9204473279448,
19.424725579906223,
398.18521803248274,
0.0017453978130577141,
399.9845639484066,
398.96603932519713,
313.03088633297926,
0.031210674128479,
332.6034982319352,
70.64812408278105,
349.3195320538468,
1.667835146718688,
399.98845589675096,
0.0014685335481656736,
158.3609429553432,
391.9177995182192,
0.7286815780753964,
321.49276468949057,
16.155882956245726,
350.09969816497016,
19.654461074618258,
0.007870970503054409,
0.0017401987809195774,
0.0004841362270635585,
1.6251438017327091,
0.46653967962286824,
22.29683951756374,
0.0004652442587849137,
351.48791009842427,
399.8097777056434,
19.969633411511634,
0.001194216727107289,
0.03335381446605279,
354.0095660443935,
0.3579433742810778,
390.656850321279,
246.05941442723767,
318.556273236932,
365.6145640410933,
388.24021128983,
15.97973933782666,
0.0009523418661894212,
52.59174664088056,
4.394137431637057,
393.18472928831306,
2.9471561384246003,
220.90873418117147,
27.252260606544752,
0.08162518408632025,
14.984302396834103,
398.3258457301985,
369.47938845739367,
115.96028677372838,
214.24848277632077,
0.003098611151752806,
377.9480393617611,
0.6535836565098707,
399.82822543785767,
318.6914596404835,
399.9698112762788,
126.26027666144874,
399.88566471169,
399.9981066881956,
399.9058674193335,
399.9983175253703,
335.58344701990535,
9.283207552142358,
378.5508577082111,
2.3960097448750606,
2.7313813499772133,
60.67250545957066,
0.0018608471189729414,
5.964699506575166,
399.9988542730024,
0.011995093819106017,
399.99941605723,
72.08402273290628,
0.10212089933505641,
399.9913371361709,
389.00131017550797,
0.04792059514537872,
399.99936053233444,
12.123999146596764,
15.862440548797508,
0.7276503924859901,
396.9226333028421,
4.018143011393893,
0.01826265996451859,
37.522571152357884,
335.69937115539295,
370.8715296153129,
399.970052828631,
399.8904707321382,
19.13548572936019,
9.91377944180436,
399.99917989373046,
398.07979451375337,
73.48772090718745,
399.9979415755274,
399.9990294205373,
4.771182000881269,
179.501383418357,
231.1200154914247,
19.19911702859036,
14.777536192153317,
395.9259830866217,
1.454856570903984,
346.4934406302902,
0.057641993426083005,
5.839062024837638,
148.60114864532926,
399.98225772131343,
5.0773863265001,
356.197031725335,
399.99657425924414,
19.92308812144159,
379.74618235314017,
110.36031343716641,
0.7281319882185722,
295.65447528604125,
399.99931876468725,
395.80143276493607,
220.84609820458763,
21.602553688971483,
222.16399925779822,
398.38639232166344,
384.080607985874,
399.9974336460895,
215.94140579528772,
309.55604833576353,
333.3213171935357,
31.119931098538146,
28.308451306365612,
394.7013788797673,
14.831293990787863,
0.043790273860166984,
41.89705738670577,
398.3599358661214,
384.5852766928175,
279.0442654587278,
0.029390179742372347,
373.5999653524773,
0.07545655222322978,
396.3402461278461,
0.026260192232485657,
19.142544068088863,
1.1730344874027132,
398.0514802108352,
399.99565818690377,
357.1564753635242,
0.02889389072600057,
0.0005301919587141768,
0.025948027824607145,
399.3792302815333,
383.95765632820854,
391.4620352814426,
377.6479159882828,
399.993646861698,
18.187668095146158,
399.9868544117304,
0.5165465343486497,
394.90806823537923,
26.113361302955383,
399.4960439827377,
1.3813711860626077,
399.98960609386836,
390.29776423442667,
396.20807888468477,
22.10262421785989,
0.0488249243126182,
376.3004176825411,
0.01800999689771654,
1.962797938175842,
394.75851720442137,
389.6133790455798,
399.99950184446067,
203.0364327228093,
380.71209996143904,
369.63218103370065,
397.4083391596831,
399.8368342349871,
0.01851048725554083,
13.42666657159337,
0.22240659659635842,
399.99936461032354,
1.2075769510970558,
4.335535409664204,
49.923449274373425,
391.85229552429473,
382.4318105519154,
0.06706626832975182,
389.482140190802,
0.0009626216965319401,
3.0698781270638076,
0.5849862411534623,
57.42965034089374,
399.833361395994,
0.54124565862681,
0.054120478921526605,
0.0012031085317998347,
323.43481444720544,
2.7596327298092804,
399.9995191512757,
1.7398264601615088,
399.68013768307446,
4.280061085224451,
13.326642674153444,
399.30476703818096,
16.012076279283516,
399.9982685737745,
396.4431213602639,
0.026398548069517247,
399.598695149208,
399.99187469839967,
399.9959386568128,
2.292160705633317,
52.21422205503499,
7.661601100294901,
399.97127256597497,
270.7511542962267,
268.57912136269624,
399.9330047844516,
399.67542764702404,
0.0017160069218036256,
143.4279259312467,
0.016111548923225527,
231.54899735717103,
0.03220186734953501,
3.548114594441354,
7.917308808584322,
399.82140702163804,
3.6449430454466247,
0.08773984603491769,
0.0007166638858135954,
399.6909234893803,
398.6677370461499,
21.366728266689794,
13.21084744098071,
396.8856425019763,
399.9702756813709,
380.4435170569816,
399.99936143544,
254.64523396581723,
399.9423825183195,
0.2025929868278098,
359.26769106196946,
12.463579672288239,
399.98858665566337,
356.59086314631276,
5.4598546299383655,
383.43528170715905,
0.48450283099372715,
0.9811274182348617,
3.223783852001727,
385.86371700357756,
399.5597763885199,
6.962934741142934,
0.0016616872288821583,
7.4555066483169785,
399.99895903533604,
397.0245597944998,
399.8533039192353,
347.3003045826937,
0.013727958697162812,
212.61752829136506,
12.193486389201102,
334.19099594023,
253.44962225259457,
399.726007032036,
216.1847423882755,
346.4587198348751,
18.648990547055732,
30.19617768385501,
399.9991117513767,
0.013182230379493731,
0.0038879946421932488,
387.696119536534,
399.97117147567025,
399.90521682373327,
261.85255524474246,
347.32803267259004,
0.04806215575403616,
0.8904735850517875,
399.9868188468822,
382.88391685156944,
0.0005710792716273616,
394.64923381302174,
399.933532266847,
391.26509715429324,
0.019825895411562655,
0.022738558743728987,
396.74968852850265,
227.6409199632386,
0.015112163742192486,
399.99576357840635,
240.26013326652867,
398.8153679802006,
385.2391627645891,
34.23505869092081,
4.588843232969553,
386.4354204030175,
132.94426940246055,
399.965942826116,
356.9013500979368,
371.1848121327449,
63.557272268935485,
394.96201795338226,
387.6097532487633,
399.0246348687507,
399.99930643817436,
13.832861230005356,
399.98463588380406,
394.21828149064487,
383.5804203945949,
0.011947832795056179,
388.4370957021878,
119.24811985311219,
394.8108188497719,
0.059941861593526546,
0.7877093833926541,
396.795701675435,
347.44173628924415,
343.46210259631863,
399.9466336773056,
399.99939701098566,
7.897204819132297,
16.7818838532229,
399.61131665662896,
50.68706489982348,
27.390216330917404,
0.10258358739239082,
377.49764931953837,
390.3963548163624,
7.6720662782606475,
41.56389513953076,
11.743002989419239,
387.870839254966,
399.9875224662953,
201.2541781061371,
392.63935118741813,
23.594893610811198,
393.42338359261186,
83.19943736848268,
0.087046782498712,
388.77633893637073,
381.80546732807005,
227.95485079724682,
379.33592712107276,
0.03988261622698275,
383.3700874900495,
35.572835807547335,
378.60236870228493,
399.9783466115613,
375.4796979878976,
10.999277303072352,
83.65712884393142,
399.9761261235354,
399.9074869339455,
386.35861739418897,
12.158392230599224,
0.023309795442560954,
399.9879557855848,
399.6543779896392,
1.7456780080063794,
12.576218550850493,
0.06981573215960601,
399.9605793192825,
13.484376311464885,
399.9711139901792,
66.68204104831408,
399.0838853100857,
0.005272714672321932,
399.9980790110927,
0.028762134529292105,
379.7605525408876,
187.81447002814946,
17.35528202200447,
43.880001171996796,
276.24405979928684,
383.98086859787634,
393.18949350360117,
384.83344207900257,
399.9995423837641,
302.10591196579435,
5.6072633973287545,
0.0010779921730152964,
399.9991431566559,
5.7154927642790065,
399.4318902568498,
399.9869754482148,
14.026901172272677,
396.0754524737223,
11.742830588880881,
395.49938729013815,
399.95347323410897,
394.75161241724237,
202.70874233339558,
0.03159815349733641,
390.5039276206796,
0.974797637456426,
399.99833253392455,
365.5366659057722,
6.5831531735324855,
381.4240802592157,
387.5842624939892,
399.9978774146932,
67.23017465740848,
299.6457069370329,
173.1202888321874,
211.0360364530901,
274.531573766342,
399.9894306829819,
298.74427759653116,
363.9794635462143,
399.9980032444158,
297.3025301090219,
399.8862209951067,
216.4561226682574,
30.33806382555877,
388.24796819505565,
0.0037431033472534736,
297.15416654594,
399.9672973146998,
17.122941183316055,
391.50984207001,
345.6887927607402,
0.011955674276431516,
0.07618071582464747,
54.71321188438301,
399.9211363290451,
9.418241427205354,
183.30730339101376,
361.83444827350286,
16.509661248263786,
399.98768828892975,
2.9049840771615987,
4.405560624473237,
303.6988174432922,
390.41120467108914,
387.8742769396338,
25.355015944837067,
211.41911633396262,
12.337288430648297,
387.7809580091453,
35.48423006437966,
399.99387616736186,
388.5689786980082,
6.064419759689721,
33.941534501872475,
11.698041242206013,
399.98286767622517,
3.6851362017143563,
368.2328302371627,
147.7252254114945,
1.5213356459282013,
8.599609253285934,
0.000827075373499575,
328.4458922351903,
0.11076248679211531,
47.98349145155607,
396.5789842407919,
399.36765793841164,
398.6417394441487,
399.9981267159822,
267.0445223516961,
26.226733901709153,
381.5730569396483,
0.0030166270719833577,
395.8031868258599,
376.02967904331274,
0.003908055997237092,
399.6277374630588,
169.13792812473994,
399.0502933259954,
316.3384908273793,
361.7124376159673,
14.062888275536768,
0.0017952626642614433,
13.968831963418848,
372.3006551290274,
25.786183648084695,
398.58141363700787,
399.2203866431906,
388.51809941688407,
21.237966068150204,
399.4066280959826,
0.0007123694150790172,
43.863250408747234,
0.10370098678376127,
94.29625073285874,
399.5577224853453,
399.99238867179594,
17.521926814340304,
0.029735039037959154,
357.41108299772446,
399.99622049380355,
387.6626491118516,
397.331480293866,
111.2687886234089,
31.546679719218385,
0.0007950878125440042,
399.9828624937815,
395.323862737003,
5.106967553864461,
0.6155043184005837,
399.97787443300314,
367.3978990859592,
1.1225263011231723,
192.8635651621743,
158.19822684624108,
51.36796595909705,
0.001378899667070499,
388.23457737240324,
382.51342614778207,
0.046986526513626004,
399.98556381665503,
397.143485300393,
396.6088099517912,
399.91664667917155,
391.32153799446405,
399.1087133265215,
386.5329956497787,
377.7343917987525,
31.678293113698565,
19.26249386176608,
37.90251465027605,
399.9590463863688,
399.1859241361949,
399.9454829112197,
331.6791909873279,
2.2198946089428517,
397.36105384314453,
0.03188392656421346,
386.80214404198495,
1.0358906116531008,
399.9603560638307,
386.07343724277945,
399.88813886848095,
8.443386988662404,
66.19417714029319,
6.602308945896751,
399.9857771831623,
399.96279001251605,
0.012740408978317852,
0.01672961515697402,
395.9203505306957,
0.00046078121855863685,
366.902778956287,
14.814418868683488,
0.0368344078663263,
0.11153480898600243,
383.33520660196984,
0.005171457005892499,
399.94623567704406,
322.1333475955207,
10.35609109257669,
399.9703794830715,
7.217900216930584,
393.20128259888776,
0.015212467580538735,
384.57480088165374,
399.9980445641936,
3.8537226065606722,
205.53799315246414,
258.6298136598983,
387.48720070187693,
361.3691684800266,
275.23376921550533,
397.1233565741791,
399.79328286408816,
26.40617237723557,
24.86870258285714,
4.23862109116433,
399.9687806702762,
55.41811854455825,
348.5902291544129,
399.9926840997626,
0.6381110198710349,
0.0025466584041566875,
399.2324394159185,
60.60460275659134,
9.16377254171068,
28.42222176931397,
11.097029542235504,
0.0005240417996210667,
5.5055793265275765,
349.15007977376933,
0.0046913401468451355,
385.1309018027392,
30.302518487032426,
397.1193813741222,
380.46935919271766,
49.83309271238139,
399.99936805890576,
227.4488652667309,
53.02548169085411,
221.57972596421388,
0.22298540569387626,
252.81995081845733,
391.38402292372456,
0.10670536284469456,
391.38425069054523,
0.0011605082833598956,
0.053665252636347915,
374.6492865530736,
399.65209791889845,
395.82694184904375,
0.06537613077237658,
399.94726497193165,
0.0007162586316056263,
399.92034472137664,
399.3868828354672,
399.99780520749397,
394.13677064237805,
0.028973976415480607,
0.06779748924916618,
397.9695630431517,
316.0450200045332,
345.3634705317289,
395.8482387674525,
185.43037943886407,
67.13482150024011,
399.8483844019652,
399.9861428841064,
87.75839816047346,
0.04182572555433417,
397.23037552631405,
0.28175192500428103,
399.8878796639731,
399.955148400214,
0.004304412288713699,
56.53836272298412,
4.0785012036608,
33.88383078508406,
399.9844253114121,
0.010928849610802871,
4.663893090885418,
0.0026391721326346484,
399.9871581192058,
70.54206431658653,
162.92871089791868,
399.87071056448775,
210.80343023175928,
0.028860843184164153,
0.004285245289925577,
12.408169879692267,
399.9116022680124,
0.14657147362100442,
267.7849430478562,
395.74143677241403,
399.9422101902912,
367.731921541745,
51.680901207416085,
0.5948890007808849,
166.06890949953325,
39.95221120947681,
8.160794363430512,
387.5679895657762,
0.011947819355984102,
2.1000013353062563,
399.954122227181,
390.9369800800459,
1.9701778592176478,
24.491454783948498,
17.723844630953,
396.7950736012669,
0.0006873298004972384,
1.5232683980695771,
399.1705741958243,
18.459758730377153,
395.0466584792692,
355.5866898600859,
57.58200126721871,
4.323005672572622,
399.8885480159623,
399.35921129940886,
368.35638271604137,
1.2044312663444856,
0.009371420715797996,
0.2521375872105214,
0.0029239590181973085,
2.8639320721000283,
45.71074453757766,
387.71783008137317,
181.5546789603597,
399.9880389246646,
0.23765743847130594,
399.9993039090684,
0.0006517210537460016,
393.8761265656031,
399.52281923856896,
399.996929187036,
0.0035151799831600883,
399.919561758019,
24.80580796927383,
0.0010580386660574703,
8.117710673199351,
399.52110929426226,
225.10441848481832,
0.17759510891277586,
393.71617280595217,
22.060228947759875,
399.90711004363726,
351.25279985316604,
372.73654557296135,
399.9702821164419,
393.09037073383604,
385.94741927210407,
13.421268958180566,
397.4702399985569,
62.53283916187664,
259.79887681544596,
18.555420158340752,
13.212081397189568,
398.9991914932627,
0.32910127076755114,
382.9283201979595,
3.243594008154971,
399.9988851188343,
2.603806138968512,
228.3002034864548,
399.9992073888886,
387.77093669252514,
395.41741860485126,
17.590334638591965,
245.8218419000715,
66.72130392835567,
224.56450656723112,
395.8328113507795,
399.3274663685076,
7.317339252863242,
399.98538900054416,
259.06870964531674,
393.5958023139046,
399.7247460649832,
399.28300854699626,
399.9978256341524,
1.1681334796105558,
52.430714981616845,
368.69739009162544,
390.45834136242473,
10.183364782474191,
371.4736697818272,
0.05380655275835089,
26.66012144872505,
399.9880175899468,
397.3975973864408,
392.5167343849845,
0.03236591797532995,
184.63644585971662,
388.9011030469095,
337.7792616410444,
399.90549901843775,
0.8982958510158401,
399.95204779939496,
0.015596985495691662,
395.5242260268539,
0.00048737203550697217,
0.1174447925102351,
399.0107502493281,
0.02915223447716997,
399.9958936190111,
382.9300582953182,
19.84855509231558,
397.04117020099307,
356.39622352703066,
0.11635604604216532,
0.36065276734964513,
363.8303194643891,
0.010458660375101125,
399.7380035733485,
354.7539889611048,
0.46609219862343565,
368.87857676913535,
395.4609316781581,
0.0007773008559253114,
14.204007541082909,
0.01587319209435112,
387.4465291882364,
383.87209835687895,
399.9988106414039,
399.9816134055262,
394.15446651664865,
399.99605317614765,
65.60895270184868,
399.9780256182682,
120.462767903205,
128.1586647967065,
257.8169317349953,
0.07613714900525093,
399.9290446504575,
388.6235339091948,
30.83948823664342,
392.3042719420497,
399.8761374464501,
10.056947193748101,
399.8660729936464,
360.09845234885614,
376.41617371143536,
334.73331895381006,
2.3745455637808055,
18.326796346298323,
49.35700230230575,
1.3215636444145806,
9.825606838231927,
6.914971168442907,
399.950387772026,
270.54217286758677,
4.355200330488795,
399.9697941704893,
164.2926895278078,
399.971276618933,
335.03775773977105,
399.9987977091881,
0.00918367539199938,
0.04694888730376601,
1.8529745968195233,
0.11260008705975544,
249.04008203416112,
399.642945380094,
47.53458699357287,
34.74779555518423,
394.47316833998707,
35.244965581969964,
393.80362472770776,
0.0011284229564090253,
399.997642043895,
341.20200603319165,
399.9382998545027,
334.5240704473106,
14.879867183817863,
38.69467772470316,
222.8343498502756,
12.777653205097138,
13.99959022895969,
202.21955304675484,
383.68054807330094,
0.002231223052895359,
385.7404554762106,
247.57236245174644,
0.6084684994550171,
1.6460146210799609,
399.99882630625325,
0.8360400166697035,
0.41211594768764126,
399.8919859463736,
231.17724670890016,
281.98332411282246,
0.0006487032877533494,
235.5677145537095,
399.95969438085774,
89.9059467985032,
1.1345588308459886,
0.04107573238818496,
2.9975916275782666,
378.83271365857837,
375.9521450661732,
0.029287300332248023,
129.15646210863372,
0.10636460130950542,
395.0409079039253,
20.5369476962574,
380.22301641329204,
399.9871782955102,
5.867565275613984,
395.8135259839933,
7.4191441134892955,
370.32667291648283,
35.17826731261313,
9.34123944306644,
147.1227230350933,
399.5018802077536,
374.7334064958401,
0.039906660445709896,
0.23930185086487032,
0.48215371612461144,
399.9442486316372,
0.00047840820576183773,
0.0056516673230699865,
353.1763011859188,
5.359521863961736,
399.99903258133844,
399.939336442759,
390.95556753081115,
385.6533732981179,
7.239385207637272,
148.1714451957062,
360.4466896001587,
396.46729794544694,
395.4776774625797,
399.99915281495714,
385.53487930724214,
396.0655751989771,
277.3886244902138,
0.18934650256376973,
399.99953045697146,
261.1940141049674,
381.5701260256728,
399.8272038877821,
215.37307281894132,
0.0006809277009800496,
1.346989259183573,
389.3914633463273,
399.99954262201925,
9.236887106730741,
380.825733023059,
0.11131964234032399,
344.3155600519933,
385.1017666813811,
399.3966088747788,
380.1599816065124,
16.004795556570993,
399.9876640808354,
0.0007253436573373406,
387.61665876511734,
4.07380368659469,
399.97429907069704,
394.86109838915553,
225.23537712319273,
3.7340134692720017,
399.2607213749099,
171.59372608154436,
0.02888648431551566,
399.99901772673843,
358.0417781644117,
1.7949702721021144,
13.618884925103746,
399.1476053696466,
0.0011913842669741825,
180.62249322518971,
298.68410724169206,
127.73454734558243,
337.62079397865733,
53.02552358952912,
56.92361086457982,
66.75210204511859,
351.9851927212181,
50.941801624108884,
374.2223890946219,
64.07846281551457,
388.6248000051686,
399.3054170287781,
0.08379325014329364,
19.358861245275747,
377.5560619915939,
4.098498860469579,
399.92445292723124,
0.007370708679910187,
4.932374115912874,
0.05234347013025609,
393.56495570400136,
11.030068187089338,
395.87129318501246,
0.03864935989814633,
0.20371425838177082,
335.86638098611246,
389.94714373420055,
14.150258370598156,
391.385373098213,
386.9240639605307,
399.38332893112033,
399.98782059316903,
333.51745351270034,
0.030334417938115976,
25.437466069464353,
17.711060447071137,
4.27043419513391,
399.9642026814532,
0.040072701212467976,
399.96951950659303,
399.9424158247799,
399.998574743357,
399.55836910170797,
397.0601694368829,
399.99206662367425,
395.6466311187795,
0.06013750384950001,
14.5093175228997,
11.206250113599815,
290.67856556200996,
393.786835643974,
19.8063149066942,
399.93206517764446,
0.0010473046351044957,
0.00046026633497842084,
360.2355145481718,
6.092324823720041,
387.64017852847024,
8.08892826472485,
131.1950439696169,
399.9936881075441,
395.02679287361786,
20.339565544559115,
399.78780197850375,
399.99939783017027,
0.37910033816341837,
0.09679397711714888,
395.7191354119657,
8.339098789586409,
0.013538872909646393,
399.9812427827078,
195.41060500945463,
383.46959589033366,
396.74505237975615,
183.55964249329287,
1.8488793684959592,
399.94684821359954,
8.974307844952545,
399.9988397182653,
54.340336961698775,
399.97195163950227,
190.6483210653157,
7.2547234582371,
396.1408313919039,
399.8458127172329,
34.58659903700247,
0.011980187939397702,
33.9065265886789,
302.62042558987116,
399.9596981686038,
399.9478036287702,
368.0372452740762,
399.9968542361859,
0.014067400724115942,
399.9565913403182,
0.8519378550487566,
312.0058306158544,
55.211317626308244,
43.746051723912686,
0.3194924673618482,
0.012167744680069426,
0.002394589149901094,
15.678384233312448,
0.001567321554829526,
379.14655978376504,
391.16276885045016,
386.8005870318489,
399.97830675223673,
399.9238712626301,
399.76827323970394,
0.48829792706910347,
0.17478112902022946,
31.20180499030958,
4.079450891233605,
60.85944880217136,
5.150496417890604,
12.222679386143586,
383.0433821740815,
337.17952759358474,
164.30575385769163,
399.919461835508,
49.13828193889253,
7.828627500010654,
386.8230024080073,
398.8259839909003,
0.0006438370118599934,
22.35605131066518,
32.89735818782924,
333.3265254286521,
348.9244651478643,
146.44508112217244,
384.2307324617401,
66.24672826921447,
5.237111051729038,
399.89056814986606,
399.9879027321092,
12.189241837386323,
399.9063713001999,
12.383394163037131,
8.779352057344948,
0.5709266466173535,
213.0085286859964,
49.947625337912086,
397.9308028670623,
399.9721755628909,
399.9979074587144,
246.49914159788216,
399.93377371117174,
33.602365081460725,
351.44589347987727,
1.7415513079725775,
395.15216185795987,
399.9992411768921,
37.21772391891278,
348.9359298105887,
339.01836096862496,
1.2118304278820657,
399.4073777306017,
0.07821843137554296,
212.61773387762318,
399.9992024584859,
341.43320265848945,
399.28156023028566,
55.16573188850271,
387.31142970918404,
399.85960815620496,
8.889590204420482,
52.45341812419204,
0.0014969604612780074,
0.1219606548455765,
17.743453716780678,
383.65476416973746,
399.99819643403765,
399.99782258745887,
0.28145276005293596,
338.66731146395,
391.88053556022953,
42.83844895263058,
3.384106393616104,
0.7707228409831179,
399.9704172842335,
0.0009640314944325823,
399.9983466131395,
399.9971186935675,
0.00045740488645584776,
3.8761995102799984,
13.91359578722684,
5.066632103366642,
11.619318932083122,
67.16282948897341,
0.48598410493916333,
391.50976265135955,
399.99909486885866,
0.0005573889454657532,
399.2514248966703,
399.99631182021653,
399.99935579151884,
204.3325798566583,
0.0012781020369390106,
0.0765419663088851,
351.58280479592526,
21.60795675202367,
0.009650427094443081,
387.8677979155209,
350.5101024803976,
169.0263608953356,
0.00045910687418437846,
392.5725988790452,
0.05608022028666948,
7.180019064109833,
181.65589748670078,
0.013033152483177268,
399.99500478198644,
17.381629481965977,
238.46933027124732,
0.17100573657942153,
219.68103274528522,
396.502543735282,
399.987485142156,
395.7221746892284,
46.184586567138595,
383.5844917030526,
399.98359935652286,
395.92386351114544,
0.013565151050376478,
385.420375665207,
399.99762157829093,
5.340431139342905,
353.3415251557536,
0.0006581946308203968,
0.26224101156129276,
5.920661212963774,
221.83352258116656,
364.8915145786608,
132.78989372019976,
397.4959006419028,
56.86173122706719,
386.0537294714369,
399.9993581082147,
399.1746265060123,
0.012119944166366636,
3.5659887305616422,
0.03790326401522659,
298.24572742718266,
367.1913819792615,
0.02377460311970836,
399.7445366939931,
26.78948219125847,
0.0038630445645226885,
373.7604696007402,
387.63126094714283,
399.54870882273923,
396.90818888154297,
335.2503546591909,
399.27791913755823,
67.1262849356103,
0.012491688898674802,
19.07951754082784,
399.0689131501388,
399.98925918646535,
390.70199192201073,
123.1649915103421,
388.6710526576302,
380.9012271907041,
4.464786573054935,
0.0008356682869470333,
351.1580382743031,
0.01033225084061673,
398.8538201541937,
389.72216797553926,
0.10852278044306551,
146.76971342426936,
339.1252050223389,
395.1258431559929,
36.22646883481131,
361.6197011546618,
18.56294979944062,
249.570880105986,
199.3711452825917,
0.008106454941736452,
399.816588371077,
5.199446815352782,
0.22095908819266263,
397.71345510443854,
201.48684386297043,
27.714086944876225,
19.503796159133003,
398.00586582101226,
106.0229733376683,
265.2134809729008,
266.3504888745674,
386.52842582269915,
399.95737936527627,
396.41020065961516,
0.000748661499727632,
277.9032897259791,
5.221527579788976,
378.7958919994942,
0.0004572384696643894,
385.342204398007,
380.03228387442635,
75.56548141762124,
0.060677102192574495,
1.489757529443847,
19.21395321463728,
352.5439725730086,
27.061086076863994,
0.0007768446440348242,
0.0006934332055896775,
1.0297640018738452,
227.3031931652305,
183.3902202737337,
0.05513652638062805,
399.9988874982759,
395.900099708749,
385.0247776596028,
210.197678683218,
0.13096063991806517,
383.6542526479267,
0.08328468957341517,
399.3329623070633,
342.6003650384562,
333.5806625547407,
0.1630333695115338,
0.04818846674257138,
0.6434262548004055,
399.9124963894404,
188.92674362335208,
315.71376313793024,
0.014610526796321466,
0.17609993013874004,
210.75386147118186,
0.09200242378069046,
393.76974969558853,
0.05618387130703617,
127.56718851148872,
168.3093404189514,
0.0029936945019626293,
347.95510476336574,
347.0495286063349,
10.723474119676602,
0.07359304021703483,
398.8429362051914,
0.001898165041747113,
385.1840003840001,
65.30231943262885,
4.642469376549108,
42.862740943537794,
374.3062278060747,
6.886497520613166,
346.873881785709,
2.8208724852283096,
387.65492894573083,
399.9993067823966,
0.4145795985696532,
397.6274240631001,
0.04859170676978497,
0.10603178023544935,
0.0008683386324648268,
13.618460058966386,
171.72770585806515,
399.99953976183633,
0.0006427775185668949,
0.001825802184685088,
395.5532080810029,
14.210088709034574,
364.9386960335257,
381.02160741889304,
0.006728671271294395,
5.480262428308258,
57.450530713393874,
335.72602213487073,
0.0014013160267722924,
0.000752027628991847,
399.86540121711107,
399.9986100238711,
399.94913506653774,
379.886591059026,
211.33962217458787,
399.65425558362597,
55.573242146922254,
386.1407665936674,
0.0005054646104118987,
396.8679747833049,
397.47842110861404,
232.88159201341392,
0.0006729488706946896,
7.049166448761568,
0.0013381522948829883,
0.0019929417090835955,
385.09830555120067,
393.401481569855,
352.9826723283868,
399.9846122349356,
399.9989842962124,
0.09840248721217915,
381.778795886284,
190.8685439689134,
0.0006918044682890923,
0.4787667434135834,
0.005054027990913923,
17.054321326015653,
0.0489708421713253,
9.370933504287905,
7.479666420429898,
399.9600630299773,
6.989248161180761,
383.43850371758765,
391.5345972116619,
25.377868319839703,
398.5223603649517,
398.69677720525965,
357.4165480953999,
0.04632630428005324,
399.96948668619393,
0.643672449813959,
399.9875635732486,
360.1190568725872,
3.586573982205099,
0.11903313254244541,
5.111806453120815,
1.4231041356671303,
165.90560236565344,
51.61902457055467,
384.2513861417694,
238.9434870184442,
353.15980858782854,
22.694649347701024,
0.0076241893845807596,
0.009711046028115788,
399.62073096514695,
399.9978502786947,
399.672581093499,
287.6593422336874,
399.93427125285274,
393.59403316794186,
399.99937468467544,
5.0968488296062375,
10.83124280723844,
398.7761603285344,
5.84357883926836,
0.014865052700963055,
3.718859061720514,
186.63171177837762,
399.98655295522514,
2.8281032166588504,
391.00073083173294,
399.98789821008234,
291.60068372674283,
52.99051612338983,
7.812072296836758,
382.10471283366,
247.71700633832637,
398.6108165507998,
23.77318490623612,
399.9988613083752,
1.9399817292253374,
394.79488676095497,
0.09973585571028121,
19.416402553498678,
42.69277665561657,
399.9608166949309,
393.5952887787895,
399.41149437938685,
0.0031737627235850496,
399.9533497750597,
399.9993433913035,
384.30183024680787,
0.06574162825669916,
8.540989199528703,
384.58097685307945,
0.06409184694637915,
0.1842649969490351,
207.6351321394827,
339.71374855676515,
399.65583920376713,
399.3915160938954,
1.5304330137447586,
52.63759186435066,
336.671461999417,
0.017315409559537365,
0.17667400252872056,
399.9842752086833,
398.6415760782707,
208.8361423942053,
399.9625913582663,
0.01198927461780741,
4.773301378874151,
380.04265359365127,
0.7531158666940874,
4.952178407031749,
0.01243392775915897,
193.0081626528661,
0.0004981118241875748,
0.0010166219294172052,
0.007800315490924525,
387.3788347568526,
393.0034341110861,
0.00832317860002263,
0.13947821721904674,
399.8523561090592,
47.654594012875975,
379.14749828563004,
387.86689889494284,
28.15066893967355,
399.9775078793724,
394.2376227177532,
32.676019294620716,
0.21528783361561832,
399.91870291940467,
0.1534981361547505,
101.62134765913247,
310.0311864666875,
397.3289621574327,
398.95742341366673,
355.30265200061336,
4.11182897237683,
399.99753553963524,
51.484743280585676,
385.73341904369454,
399.71307709290215,
47.64252862176017,
212.33914170115713,
399.9984382495917,
0.04859464665458724,
395.03299990548186,
36.7823134174579,
230.06086182611404,
0.04545834751470412,
0.07022244660235266,
399.9948112232939,
1.1325231601588603,
399.99157108034376,
383.88606616607484,
399.3737655482598,
51.32738873465945,
399.28568169894925,
326.5589722836121,
0.3705913925305504,
0.0311895506111437,
6.982432929933857,
0.08695666719185091,
304.93123408242366,
399.922810242157,
393.2456683557812,
33.560652796679946,
0.00046913386806402,
399.8570822619411,
0.0011993662879072886,
399.98975372311446,
0.025699196453099482,
390.7501756895295,
16.218991527175785,
399.99759919340755,
399.9994468833195,
393.6729835119327,
5.065637303121506,
399.0457763594487,
262.5207460232271,
352.19604340618406,
399.1754811982526,
161.94710853952947,
399.94334955614937,
386.99147436077845,
0.0004766576541470613,
399.9995125039079,
0.0008932841528919155,
399.97557454771123,
0.15906100212494945,
389.58309902295196,
389.2370910487034,
337.4305354766171,
0.12390678555038726,
4.075334763180383,
15.048034809561205,
3.4326352799906035,
334.762712155814,
0.046690253097381174,
399.0105722671488,
389.9394147603164,
0.06513077816934221,
0.014945754095108121,
120.58147315497084,
0.06467002810153222,
384.0088145144394,
0.13815481819425823,
399.9543570728206,
386.58745087385216,
11.412748364859526,
0.42284961608198834,
0.002616233692864789,
398.8641476290779,
0.007699845235831226,
383.3073685492292,
399.93929954742526,
399.881676042487,
291.94038119290855,
383.4160474553961,
365.24454269383995,
0.0025039537220772345,
399.7179684740481,
386.5508736545558,
388.64696512472204,
3.6203518792932154,
1.3517642819304232,
212.9381898917042,
0.044370455352704674,
9.591929699464341,
11.416010754975847,
83.0835303649415,
395.5130320427269,
399.8758661127882,
43.875536951881685,
310.135699408214,
23.33523530203223,
389.52813241908615,
399.9018314568753,
398.36840782520574,
399.99934008982086,
399.96567511812594,
9.974718594625486,
7.03940817409725,
381.93405428447716,
388.2404723853915,
399.9701270777085,
178.73115164159222,
12.271648250613755,
392.77473185524235,
390.37621434260205,
0.05750669772954797,
274.57887511954465,
383.6465807682525,
4.590734781331363,
0.00046523981611645837,
16.33957751498023,
0.6502405792393029,
284.3000891267705,
397.9526276841807,
399.9995022123961,
352.4785511869477,
67.26076503545035,
3.695677863033997,
0.05121196920188087,
399.9992641898007,
234.98831565688087,
395.422198278814,
399.339423794591,
337.426916804486,
0.0030805601936023663,
17.70390313985044,
372.66302248472016,
393.27675407007587,
1.0253750441729492,
11.236932616711082,
9.35896175024784,
0.48509492696680034,
4.1485313417367164,
395.8891253109818,
248.54185242398418,
27.878124497346302,
0.030376356732220167,
399.9704470449724,
395.9247705661037,
19.891622133880404,
0.006370484338868998,
399.99767369009794,
399.5952238894249,
367.05880212727845,
399.9738877143367,
51.84908104586676,
373.4250628911529,
26.811118242964184,
393.21586211982617,
399.6721821393613,
0.8073100823128287,
380.5612762418687,
4.196635171066254,
399.854469741487,
79.57451123383376,
330.3316538316692,
346.6236204068619,
19.8930828192724,
399.9992543711817,
66.0155578335866,
3.248151373247987,
6.910494315274107,
0.0009532334005912801,
360.568421344275,
382.87059269958223,
138.94023238965337,
2.892954772009171,
5.124978498805266,
392.11113379431214,
399.9993479364002,
4.464565589333858,
4.255632162395173,
0.06381414463394464,
316.98239885535855,
209.05826512848412,
0.20579971088161564,
1.0325025919821318,
68.61006879437821,
186.25596152797792,
399.89911847332934,
394.29901427873244,
397.58858066668284,
0.07118739775939797,
5.0795226577471375,
393.41999082588114,
398.65223862733455,
380.5672145235829,
395.3760452233213,
386.7683053361041,
50.8888483072635,
136.74340639896627,
13.840439246287307,
0.07236591636368139,
399.97698916908087,
4.707059492516863,
13.393839499148786,
75.79586331240134,
199.63042205742912,
399.81816256719895,
399.578514082505,
395.4148349353761,
360.4703493871273,
3.80648378893218,
247.46603357253804,
51.66115320307048,
346.87279651888156,
368.3273577324595,
396.9853497509196,
399.99465997052914,
391.25635604265096,
1.3572320927551784,
385.55846003136395,
42.527237718446486,
2.576489225181633,
195.2450031872696,
393.0758466311473,
354.85087529122865,
398.3890514179616,
392.82953900140774,
0.0042363305676751395,
399.95698838917735,
110.94044775366423,
399.97222876169127,
366.4961628320542,
301.08368259213864,
399.7264086548275,
399.9993244170571,
398.6753269521639,
395.96158873946985,
399.99954262551887,
17.636303361138197,
374.67645927664125,
386.7117122960154,
399.9203692740186,
395.03016047913246,
339.68606914419615,
0.3431295938823631,
70.18053654638598,
398.3015527612827,
0.00766743181921381,
3.2852277754922943,
0.07707290501033359,
395.9160974351831,
395.02132289106567,
1.0411717879419413,
399.9278040915719,
399.997497094347,
10.583247794654117,
0.02003578898368552,
399.98759328980657,
4.632546097768775,
13.999685375924065,
0.4817796903798577,
399.98805097728365,
26.002322181797922,
0.030130415653073506,
10.28381527569595,
11.759046824163466,
53.100980976237075,
35.27457456501406,
383.4562154254067,
23.42950831791233,
12.127439075319657,
0.44879982919738826,
0.007506732958550977,
0.1802389596319287,
0.4084489617442122,
13.071529763314583,
12.447590496892612,
0.012841305465172148,
398.1052732255613,
7.4292217318611575,
0.047232484119041906,
0.03650717477625687,
24.203547640207645,
361.8106172953736,
399.99935497842165,
0.005823046198805137,
388.4074443448702,
0.0015138474952269831,
16.827961355572896,
0.03110405910689007,
16.08038307412847,
399.9260341318386,
382.93335945024324,
392.53603183538763,
341.81588386623235,
1.5882111406341437,
0.4383185541268597,
380.5293280121917,
4.5357372902675275,
17.090826316809625,
49.15036079464701,
1.732610844866711,
386.1918171081778,
387.7026136238915,
399.96024629621934,
359.4498036602196,
398.3973068163769,
103.93935187569392,
0.012621908899590473,
392.41040497892953,
384.6083994757661,
0.04607155938822771,
94.47693402748129,
0.03166032804491348,
152.16949835531176,
6.2039989821652375,
15.205880117568181,
30.910886105111814,
399.9994674596243,
370.34046111926256,
4.280309060964127,
202.40121129544173,
31.988884931453597,
399.1496882309451,
399.95555516884747,
395.67276265084337,
7.6778026105218,
9.830670181779233,
0.0030650923588781964,
282.3046579364776,
0.01885677059270119,
399.6089184818537,
38.2511209602006,
50.9287158008612,
399.9730627792388,
0.37658702142231437,
8.640406092388343,
394.334970029597,
378.9220643623081,
77.80916557208381,
395.7238054407044,
1.235998320812537,
0.000727873783845645,
379.05889325531314,
0.22870650173041351,
399.76686757763105,
239.30719564894503,
367.8495069313248,
399.99954064361674,
33.7734850000913,
3.163527635933616,
385.6878262463739,
399.9989967162932,
378.673578964991,
0.0329556094477379,
1.151479737329253,
0.3441775952341519,
396.31034717292846,
6.832596684011838,
17.036872416134962,
394.94722402978243,
393.7329811901841,
399.72246910835844,
222.99522275674494,
395.2973742923129,
399.99937286402843,
370.30483643110085,
156.62970448876828,
0.028130208047150163,
0.0006165631069254829,
392.5305230487692,
0.07559834263834997,
0.01760235027583601,
381.77243619193655,
374.08685051721176,
0.7629915404855359,
0.0010422555751343765,
396.1427134575561,
0.0523039165915673,
399.9957450855485,
1.5521861331740716,
0.030881478280564423,
79.32425245391832,
9.586744258930334,
23.560496081021086,
37.39768654823907,
392.96297231171485,
0.05300994488177668,
395.54535463900027,
4.118823023622165,
386.877561063781,
399.9872864756033,
43.25124382729293,
380.8582936597734,
12.181656032481957,
399.7730313611873,
396.572608754244,
211.20519091350678,
0.11008039510091994,
1.0272631268524623,
11.33054496888246,
394.6445528896166,
257.4810129023215,
13.294108490848334,
332.66468693040326,
0.012312045634965685,
217.51165731256884,
25.97873690373045,
378.4360162805819,
365.6119477153237,
399.7772257190239,
355.9538340636904,
188.73643336917064,
350.3580612513951,
0.08777042760836906,
295.5048027721037,
52.86593642467088,
201.3385210747121,
12.074758640129302,
399.94179502389403,
4.525749468000462,
39.73000718414368,
64.50908328822113,
24.957792947461165,
396.562037334151,
0.0008036673872835465,
47.341931288266935,
399.7058648026799,
375.3250703157945,
0.030622050941353507,
384.7595479090673,
351.25302888250246,
332.1924665555253,
357.8169352082511,
350.10242775264373,
375.82903784422,
0.19504384860422608,
372.14698945810323,
399.9672393171502,
9.333953525885264,
396.7327646617474,
399.9955261337631,
0.17763608486414117,
387.18720374687734,
399.9992739338246,
0.2926764391671499,
399.9875126528134,
399.98256520961274,
61.00242742069659,
399.9598109112077,
15.006535997014003,
0.0011413225356804446,
393.8867273250891,
366.25835129672913,
169.74966192360225,
40.16211051117886,
340.1401980240653,
0.0458529466076385,
399.960657208261,
370.74442414574366,
399.90684248660216,
0.009249068348560208,
399.9995246772012,
0.0004580741101767316,
0.0012263453482486142,
395.07622557868143,
1.0012316389645282,
205.87193881496347,
347.0519426733756,
388.3988406259032,
381.34929317920734,
399.97272571559074,
0.0292941854762363,
0.07777454299804365,
76.11572198353593,
399.9817062930947,
395.29059752876964,
33.705835390763774,
388.2720675758425,
4.831047041785341,
1.0821552025666925,
383.3029098438926,
394.433971260279,
398.7583506145386,
399.9461674604619,
4.553939194382184,
7.083939811005613,
181.48425878376472,
395.6431015650536,
10.358477906852958,
399.98192617551666,
34.708440171100904,
377.98917176302746,
0.03128328594201868,
12.161872303329325,
214.01852845728916,
218.7088107359708,
274.0322762767349,
25.333550177841623,
378.3181135470811,
0.00046149776249393426,
257.94931889438647,
399.999248818572,
30.95999235568605,
0.10271923129403504,
389.69115695256835,
0.0014089373095771407,
384.9994739836753,
398.90768360801843,
347.98061682711074,
1.2921366806067702,
383.7476368439824,
399.5841320431593,
202.73684548163607,
399.8773922838683,
399.99819384234803,
379.0198711560469,
395.0541909512835,
399.9972581940761,
0.0033759619360029802,
28.799630149925726,
9.470374804769932,
390.8624435650655,
396.6772832397617,
321.0419944832835,
5.53860912783164,
0.07621232332022387,
0.012826492691675462,
333.577728785433,
4.075356528297691,
4.2477325807692035,
399.6090547111672,
44.90795724548169,
394.97328978790404,
0.10526963923527255,
1.308157304418045,
399.9994925243636,
4.104507713841143,
398.5058775425154,
4.941783775774455,
348.4204089462044,
13.360708212977123,
85.97994664813638,
199.81409760671616,
391.9441880638006,
365.2908077402376,
399.95932933453986,
394.2942537126064,
17.142168515065737,
0.152608285381306,
25.287833819708627,
385.5204522637813,
5.909208872440641,
399.99894626700285,
141.2304971946042,
14.676084126240996,
354.39689576641126,
12.800462718282034,
0.01607935819449846,
0.021077315547635145,
16.972180102413216,
0.0006229975506588659,
394.51939205537616,
302.76370192260964,
21.95506865971597,
399.99393537680487,
0.0004611138870291853,
0.016308871006809333,
399.9995047395482,
399.4816562761166,
399.7268791107269,
9.347794462554049,
0.03812676536780746,
373.2851118373127,
395.7984030784009,
398.1968440235742,
399.99642791438544,
0.03365085634028375,
399.17759180885355,
0.006322611477416196,
0.006535597700407791,
399.8725638289302,
389.087597415745,
395.72954386880275,
36.00593191813264,
399.90397852342,
399.99331544913315,
394.69238914078903,
374.49147391543914,
0.2386761791601799,
387.2648523607565,
171.68296285136387,
398.5876320097931,
45.313019010757436,
233.59545497434752,
399.4595261373459,
399.45452374972,
1.9938410816457308,
9.63046222452595,
153.2311283704945,
395.37680520810756,
387.9896298669373,
348.5207841079105,
399.9975771690806,
399.9950849403184,
399.99928917160094,
0.13433775969020623,
399.11092133271444,
399.99305279444116,
399.9651129729134,
396.60615847563986,
14.378791938763902,
0.0007034797988580976,
377.443553901022,
0.6449878799309472,
0.22843488026764724,
395.4773570676685,
399.8621008380402,
399.9705040603839,
14.443574730262743,
0.3880543848680862,
399.09119685762386,
399.9879013220917,
398.7050967695082,
388.2859146835698,
399.82141415672146,
0.15855908454225354,
0.03317977255932192,
1.387884854111343,
229.9834157037007,
398.2086881174614,
399.99931036056137,
356.6576302521235,
12.661691664862506,
399.9995310455816,
125.00027939080258,
8.22974705837618,
393.0861610856757,
5.58917532579315,
67.37925489872273,
398.9918474843734,
395.5212476060435,
383.5276800778107,
61.20744246422436,
399.4669091920288,
0.028739015049050742,
36.09612046767366,
109.13099818586258,
238.35097834622186,
185.89333829429907,
0.008836766072017888,
393.25482244146326,
383.38931557087415,
397.95414476427015,
394.6399951451293,
19.41618075027951,
209.8197259165854,
9.930724749555765,
24.67087611053831,
58.76696852129557,
41.43111292623185,
399.9978395100591,
12.882854098784913,
399.99886915667366,
399.9284723390942,
386.02909269236284,
0.011947946636570173,
0.6039951678346478,
399.99938841829334,
329.7496056679789,
399.986989938842,
399.99928659594065,
366.10204642933076,
395.2618010649019,
0.013065442833171126,
387.6066920067833,
0.10639186358281094,
0.17202671785787604,
212.47405851397292,
12.703607423183815,
4.232492225604956,
4.255830866807808,
399.9326960482344,
0.01455856891103835,
399.9505293829286,
0.025205109232695477,
0.16793497682077163,
399.998927162378,
5.926293061665833,
0.11120280370715552,
399.9988905453921,
1.0056318583705481,
202.80542130223313,
399.99937856993614,
384.6096357963245,
243.76752030642788,
388.4295546622832,
4.4800656361101865,
397.243148575512,
0.07013413780130318,
392.99022131283226,
186.83182227007086,
2.7197816667125174,
399.0277417250269,
0.0014448898574270785,
349.8676203067936,
0.006048816136816626,
0.0012144078850528928,
0.21295772705476335,
226.2253734842103,
399.9822578770654,
390.3761435052792,
167.67293437551854,
174.57453876854967,
15.871238045399627,
394.53985386186633,
354.73368227467677,
0.0006494711926485763,
2.896382244370055,
0.0019324423157662807,
347.37956171144106,
399.8063100251696,
382.47210173408297,
0.031912502498410156,
399.998943265242,
169.31317565521732,
398.488992394664,
0.08628667316206151,
349.4735055749361,
399.4510965287462,
399.6510557639154,
399.964165813936,
4.076055335065365,
4.677275741715103,
399.99381965524015,
0.025134354333444797,
0.04117985125051682,
3.500313515321052,
8.363071932966593,
42.96891980521234,
392.3091566488513,
19.908863886027905,
0.6771889847915658,
0.03339823221466531,
0.011584289698296502,
0.0019491167444929403,
62.789779073739524,
386.440685645768,
377.2920728459294,
0.07686718733661557,
378.38914679207664,
49.45096677171954,
18.35357841791405,
381.43573075505395,
189.31732675282808,
0.4288147579952106,
0.001547251772282543,
0.017495557138613727,
399.9980489473145,
135.2526136966055,
387.954092810496,
399.95734970590786,
0.07361728607755413,
399.99952555659394,
394.9731774350389,
358.1384429351576,
0.008453183072743009,
393.71483638069475,
0.012600738319878957,
0.0005898271352888784,
172.55879576431218,
19.130749835449024,
13.937332762545807,
0.014669502678454904,
0.029432542802676487,
0.7252653568292411,
368.4580675767694,
219.71252502727842,
0.0004887344454473919,
399.98793474474974,
386.3039887269511,
381.18493468087905,
30.25540976125216,
12.591361739293117,
399.98547279413776,
399.9995074876984,
0.020649480772805262,
389.34822272566214,
0.0011535889037128655,
0.5018186054612794,
382.87975567598903,
346.998206141066,
12.520184259355771,
0.29488226817606655,
26.494552574232166,
0.7977099535353194,
399.82449481473236,
399.7257081742812,
399.9990357466756,
49.94702286751795,
356.6987219353427,
19.942472993330075,
164.64023453882172,
0.02883418437134022,
399.83835286733375,
22.581452512300658,
1.1014295720758405,
40.70709380388469,
393.2655333328231,
398.70851093567904,
393.91157879801375,
262.08347816264575,
390.36907295951926,
399.8730545499137,
395.9197876391514,
53.055902298005876,
0.10408734233473549,
93.69240259240259,
0.0008072933528557868,
0.003514783238278696,
347.97622831636687,
399.38894494975034,
399.5971591559795,
399.9940483873173,
0.012027237226952536,
399.9995417877535,
391.8781822455919,
1.8276753753924346,
394.85036276528945,
389.19752598975464,
394.69398507590137,
399.99953527318445,
4.917485330687654,
210.06222024179752,
11.875746031377421,
0.22577851636929047,
11.52150681721411,
0.0009831350155975471,
398.98835512147696,
355.04743436211476,
379.83519662107517,
399.7930208460689,
399.88701604492746,
211.2768472343698,
40.498837821738086,
0.025165691496442655,
0.6094634665172904,
399.98638736582274,
182.1140134406635,
377.79672694207784,
399.98421013199044,
381.09735983683254,
399.5407240044761,
399.9590233116984,
254.37852164451468,
0.011950659565429511,
399.96597249801704,
395.8506689585987,
25.233274490198298,
392.82644762480317,
0.02883926084744637,
399.9329604566089,
399.99627040993767,
61.855069747284674,
399.9970314791151,
385.7847137776079,
393.4206174753484,
399.9995153785907,
0.012888374141817316,
397.00539010904754,
399.7889091866647,
3.6317243856245573,
387.143623027608,
1.554691077648096,
16.23126287802301,
1.9059268467914725,
361.6648405681136,
394.8980029083839,
6.691941588538186,
399.969206663585,
0.006622375200704411,
3.6470980062843106,
399.9434577361087,
176.8969521591032,
255.27088343351724,
399.98733915833526,
393.1117139435956,
9.067538773450078,
0.02683365035294205,
157.53678778573823,
392.01509619325685,
42.93693889159273,
281.9229061516728,
67.00875063743719,
399.95208132044667,
399.7691743200935,
399.91227645561355,
342.2440373226169,
0.18503550276993685,
0.10672489411795993,
208.4858095063936,
211.85581967290142,
319.64990644610316,
389.4143399640596,
50.88150093114554,
399.9867027364222,
381.5096274995088,
2.2053843843086174,
10.73358408511531,
2.1709644286370455,
380.25024098866044,
387.2277094413249,
398.1722540723221,
399.96822189675873,
381.98838809634054,
399.9868779092841,
386.33841131722943,
378.42245755724406,
396.86687153156726,
0.019601740465979844,
380.2669821949161,
12.413799845822936,
2.166272004399783,
41.46530045629084,
13.708055152439469,
52.420160571448825,
0.24681799766261836,
377.0431444052556,
19.891322583809213,
398.74376886028557,
396.64249384331583,
14.01421966767491,
14.098626309224095,
399.90865238393945,
15.232708031823217,
17.141633792369504,
394.07463064615155,
16.929199649563074,
212.75328039879423,
0.030227483117628573,
387.6941133785934,
399.9985253669812,
222.0330383900474,
0.004058703406539799,
388.12147454186965,
188.12419947417322,
4.22246000553701,
398.12305851390386,
399.99916542615665,
399.5348615814973,
382.91660642452615,
366.62418097161026,
184.13327090882078,
399.9979592790397,
315.5686837609025,
398.2500968909265,
379.23693487787637,
0.1336753695795112,
0.034535024050819096,
386.75560199755773,
0.0011962921257380188,
385.3905535273016,
394.71842603674247,
0.001976793164359947,
399.1357698258466,
6.610866938166415,
371.84147735398216,
15.673361775354833,
4.27328245270473,
399.9991195526803,
138.53353913157508,
394.007408888231,
11.99787622030093,
0.09300453983036583,
7.665290281834691,
36.635726081919074,
399.1427702119594,
2.9793983859267126,
50.627670498124374,
394.9471464563209,
399.86769978185623,
399.99888639532344,
11.066329238324958,
395.48065073114225,
392.43747800930527,
18.523900697607587,
395.8861399348047,
221.13169190373134,
2.6212006067917626,
377.99071573950715,
383.18618501113366,
380.6224989462875,
7.467616156531265,
274.5898849930305,
394.16867852120083,
399.9717113168324,
393.0657577837207,
203.15551579005106,
207.59344929328716,
151.63341915880716,
399.97127294482465,
2.942132113854523,
360.85593976661016,
0.04262183510952422,
0.0007345051718177231,
0.001190751250002009,
386.36441580663484,
0.011350865263315413,
372.81725372295085,
178.41570812319944,
3.6378215428167104,
399.96669088592057,
4.967854292538854,
0.5736791624902038,
0.05246489130366072,
51.3816011690176,
399.9880491860978,
0.7628791281178326,
0.02542633517435,
395.9144092089764,
386.5437524709997,
5.605939420024297,
399.5764113946211,
399.5627727480028,
0.7708495966259443,
11.81856902213394,
392.5117810724357,
15.67340357328677,
66.87472278636417,
395.92501351269664,
362.8390176227876,
399.99953908797704,
399.96417246876683,
0.051288770745583356,
0.0019833992703111036,
12.518552618917544,
399.9417478658043,
399.96675852746534,
0.012634191584748322,
0.6009052511477542,
359.6731974638921,
399.747118598099,
397.1900778300231,
0.0019943566942792756,
17.70080777246552,
85.05325045683045,
0.0004606748611468703,
346.9761089595178,
380.6241179327431,
388.2469389424678,
53.159519567321546,
218.75167901842457,
0.0673405652038328,
10.424607958306398,
11.665517613430643,
0.012038810458125937,
218.14939199433329,
0.04159535696315331,
0.0038737338893923834,
395.4811154070954,
399.9633902821273,
399.96488397262385,
399.17642782835543,
0.5597076172719095,
2.0900914988833064,
394.43015845934,
392.9644688022664,
11.093658185556299,
393.4370468561212,
384.8950954850702,
0.0004580217463745484,
16.828395730428667,
386.97740544253236,
399.9021540832482,
395.932177269445,
145.68442140846344,
0.0008009646367046486,
0.1810429875865216,
1.243838996817126,
175.56177470148432,
355.3579045934538,
399.848487051396,
185.84162548726425,
0.21882095688576797,
377.9069798772492,
399.998358036538,
0.04247844890634678,
399.9797863947499,
399.99431715563975,
0.025804064761647538,
393.877606263959,
376.94115154799374,
33.92516557327448,
399.77546920114014,
166.1371056891207,
399.9237599443227,
60.49516417494662,
30.944392357405004,
345.08978391826116,
0.0007557866855467665,
0.016305470308863868,
26.350546530348275,
347.02626039922404,
0.013055511649961993,
0.3104231798796153,
395.65860582564216,
29.92745095701035,
0.005410090583124472,
0.3064389501327147,
0.0006589684013791341,
399.9079748303452,
396.4467288041514,
0.043487180534751424,
0.0354527927810766,
395.7948300181758,
12.127943096372618,
257.3031471337465,
399.9919620798372,
2.553134255009737,
0.045919084144485645,
207.2496812842394,
15.369547585757303,
0.9393825130812328,
0.011541711245088848,
399.6617048076092,
397.93658145003275,
0.006957769049686924,
12.132367335064664,
399.9085194669135,
376.65427967592444,
37.13230151005642,
345.6605277061593,
0.0010913653801791767,
0.3330792278225081,
334.19085104850564,
399.9471465672324,
399.9774422984792,
0.031295837597133946,
358.24322583161825,
399.72575141896283,
11.729934872142,
1.0525976501632783,
397.7306062899177,
17.696747857293293,
399.9711815257907,
399.95513928093226,
0.07638590331453532,
0.026552811165947432,
399.95136111679335,
0.00046477099278074974,
364.98325861634567,
390.0458738531924,
386.5111420021116,
4.861137019084616,
0.026018813480255254,
384.5568541547395,
0.16758292644334372,
399.97741912657716,
385.3325431062134,
399.8382763467638,
387.8652483006309,
374.5453072974401,
399.89120379829393,
7.670078841443995,
2.5404610492652857,
399.9993395782519,
351.3220234665142,
77.05132497015657,
399.9656550621151,
15.378389267374072,
387.86576062365924,
13.718440452279435,
399.90126361720206,
0.5749640044199422,
0.0010711417319120287,
155.68198098059835,
46.906675440443244,
380.0289606203105,
395.7058054092136,
14.808586219819752,
399.7684151389357,
0.5845471648052714,
349.58805920451346,
395.4661739807296,
0.00046263565600668244,
5.6456621697810405,
394.39764492453986,
7.93582711153713,
399.999305461911,
18.942401334268254,
394.279743350173,
13.155276795205983,
19.66057023204526,
363.8555815415243,
173.54787681112782,
20.4623819930585,
126.95009759018797,
2.8076695361076487,
0.004768472207472563,
395.6574266939745,
399.9854343170291,
10.975797192519131,
11.687485877771064,
399.9995236890441,
13.233086458563736,
177.10333041352456,
396.25638453294937,
399.93338210791745,
19.85313301744376,
394.24326526426273,
7.852657225253967,
14.274688091051214,
16.03512834137648,
0.5455644510505842,
399.7300651461218,
0.03839685867668141,
2.3901768615888663,
0.028934800469770927,
4.3558396796466115,
10.62481800689059,
393.6551682873504,
15.474736270756395,
399.9993674625768,
0.22644099978548216,
4.166765457470878,
393.1148780694118,
380.7752258111748,
0.02027146386360812,
0.2724027353612435,
381.71470972674905,
397.1773286453567,
4.579322800552976,
398.6138928416481,
0.041626500107772024,
53.12331295361621,
393.586214984638,
0.6931788943347783,
399.9548444758888,
399.5535359284779,
47.856583232498664,
11.814616732419436,
367.5992804804556,
0.49494348268124266,
0.3843089491110785,
5.641230013217324,
35.07471363677337,
399.92751567484606,
10.079686026106604,
0.0751146834477856,
364.02390423482024,
393.8516639651997,
347.1149464268277,
203.92843622907301,
35.122381650775594,
399.66572764405777,
387.2474920696428,
10.49839125679759,
9.402232683567725,
0.004548636221102242,
399.98703952024607,
398.808141823182,
399.999520650632,
399.9836098074548,
0.8813460910457538,
399.984489924537,
0.7048262936833138,
0.011990108098069996,
192.91077409503797,
395.3121415741008,
399.0862620391743,
38.428768552154736,
332.598950170151,
363.8716786602607,
393.59039400694155,
399.77452940931863,
399.97987543309836,
304.8165707573701,
0.013321868805049597,
399.99159374957935,
369.978294129684,
107.72797350656798,
0.3597005212319315,
22.781705749536485,
0.012667648462549863,
389.9838170254568,
398.03733106059565,
227.8738139899518,
0.19553654983159863,
3.6273543603482006,
78.55295340848724,
2.040130402995599,
14.819701198704616,
0.015529281696768926,
399.97171398214505,
394.2520582205815,
27.037640343120373,
351.91765961315036,
393.6327173651588,
366.15792973281805,
39.01083664287801,
31.50561776196714,
296.41592601079043,
204.18370230529158,
385.60722535568885,
388.08591867030975,
0.0006810332030315891,
4.557394152037264,
399.9961183834125,
0.004523188739558037,
399.3313014787412,
392.20399163365096,
213.92137929133318,
0.0505602770875857,
399.9692705196866,
394.3886490845327,
36.413581481346945,
396.60070575285846,
399.9838965267996,
8.949388367323996,
399.9980497885191,
394.1037596394955,
392.69252662137245,
7.419914170380459,
399.9826651623478,
0.10735238348902332,
166.49365035074405,
21.57820197002749,
3.9694395850342845,
5.344608740552892,
1.7284719503653179,
12.404121131200284,
354.5383679416805,
0.09718833731029441,
0.17150502611047447,
342.6617904651474,
0.013644099186982395,
0.0006859330734965141,
395.68726409567114,
385.8252922498698,
0.001118346526074454,
399.9071541478342,
0.004113196445243439,
50.93342285783666,
0.057700544213923344,
0.001106293971853134,
399.99952792569434,
399.78109538212453,
394.440298396806,
367.08309571502093,
99.2758858806048,
0.8711929222416259,
193.24275710002917,
0.12644652489322006,
0.0004927252225339629,
0.07182366145390695,
398.4171116340242,
399.99878123982063,
399.70152615939537,
333.38856518160344,
0.016786869255080994,
36.68246658277256,
396.6771511955552,
399.99766480021793,
2.8469376510821265,
0.08888765457752967,
388.60786862263564,
398.5626620698159,
5.22151501206185,
369.974424151647,
0.03925383288938544,
41.671092334218976,
399.9989567811209,
393.65448255578855,
399.8606491011703,
11.518719175626725,
399.9415414225155,
335.1242928882715,
0.4438082326869708,
3.062496517068003,
182.2884775356072,
355.09555632610426,
46.58638327135844,
12.403186321608839,
0.6724762917128757,
0.15204166897884175,
0.028769913566950578,
391.5102618029978,
399.4691437010341,
65.04692785143659,
387.7530277165856,
9.366011613897118,
399.9953950389176,
395.73701754147197,
399.9994907588586,
4.152296262273092,
399.99073179252076,
4.777581246938478,
0.0008424155794051202,
1.183233603968037,
15.632183047461279,
356.58251973907414,
150.66623412841946,
394.29854060627434,
178.38475145790594,
0.05731323373565633,
195.15215459385357,
0.02881724904386651,
205.6535136690987,
399.9693106368704,
395.8003467263844,
171.9413137058597,
0.028779300538217534,
399.7896856813267,
367.5296204678945,
398.8001156102067,
160.25911662624603,
228.07112717649872,
385.7092496636374,
2.1094225036216496,
387.8638097979012,
399.98614121430995,
399.25269062070765,
16.805097804314894,
387.6507803415977,
41.57234373881196,
388.68036350457913,
399.9988563832475,
359.6640062619259,
397.6887577961932,
3.3662593085895587,
0.034854218490898425,
212.74550752253413,
380.7070430907335,
292.93431440567866,
10.61365898146751,
163.52200590707483,
0.012911119796532589,
343.8203825768654,
399.96725201770556,
399.99832613871484,
0.4014978052210072,
399.95922360519506,
399.26082899046315,
399.9250961746738,
0.17224571029186286,
0.007219606691211133,
0.738047882630255,
9.133021939525676,
0.14487783812791033,
259.08718518427463,
4.8650947734463434,
380.0283512995766,
19.997839828615515,
398.8319146059267,
399.8689601004825,
16.43125304891735,
15.784370122271518,
390.17235854608197,
0.740940091488862,
379.3689348430183,
4.105942029243659,
394.78201370472914,
399.9629012591004,
0.010846862468327778,
0.039949001155803465,
6.452569643882722,
399.9175053283242,
393.1139993198278,
11.717510491919224,
399.99714447018516,
387.654051391392,
16.95445940687661,
121.1691320517346,
5.9105672641647455,
9.811892590343918,
387.6303495458136,
0.09008850207359309,
386.22098026489766,
398.03139857584335,
5.259732200196265,
0.0010923595292533506,
317.435394166736,
11.490270471181185,
335.6636742491451,
346.84269078545424,
19.63550344578726,
0.08234194847205334,
152.62098310447715,
399.95326987398965,
399.9780274531832,
9.857340864098374,
254.17908578254216,
395.83091405861614,
337.80967251475363,
386.0253398571121,
13.172634361708102,
0.44605333213219023,
0.0018265554287744123,
399.98749093759034,
0.002220293703492082,
0.000605636048600644,
42.48758122186289,
323.3698067589039,
399.9662054084813,
6.0746331547126164,
396.4103010159434,
399.64217877961426,
197.0887934043713,
8.25761567777934,
7.35627000247947,
0.0025145187336983454,
398.78844903763076,
239.07729421539267,
399.9864471825212,
10.12155346068415,
168.02939495374068,
346.9149096820685,
41.36688368436492,
399.99935299609166,
5.814767124835374,
8.963808922364723,
0.0677346882718366,
199.07924959147854,
0.035384915407288275,
167.2855066866325,
76.01273275214888,
0.07251317490284404,
2.8333890009434537,
383.44047909649817,
119.24149440765763,
382.53290891826913,
207.04553597726328,
0.04963576206655773,
25.42486606526273,
353.3278355355299,
0.1545330613051954,
0.328527711193094,
0.0009267727364203893,
394.48453802810457,
0.0004711665220868966,
0.0004978842604863587,
393.54547757354175,
1.1314473513775347,
338.57245553571664,
399.8031949616595,
0.030737899442434546,
399.9990307867478,
6.212256676206307,
2.0470783158751615,
369.864534945573,
0.019066946613244262,
8.982845399690277,
394.49815286266886,
398.6887953124617,
62.26820752891633,
399.9993478282403,
399.9677856640845,
202.4728161658507,
0.03460271541864124,
399.8615555508331,
395.45634691739775,
18.149380488917878,
399.99787254266977,
399.5463516258335,
11.270203065994222,
11.155760680209092,
395.3126600568462,
0.12081413369591232,
14.868470446439774,
0.26080052594397163,
399.9645154383251,
394.0604936102831,
0.2694130652957316,
330.21880330006024,
4.0802641048326205,
396.29459751201625,
0.0038790206559502494,
390.5138307372566,
374.6545903735226,
391.4331908418404,
1.386148203001314,
399.9577393700501,
0.014085947965436496,
398.534220091672,
6.015631980135638,
0.09281848394937509,
335.7003995060926,
0.6624083244051171,
1.7641961342974355,
353.65508185813906,
399.98633504915745,
369.0016127005132,
271.1400531739459,
58.54120009422186,
399.9994747672493,
332.6342820654503,
336.4102649157273,
6.986319882799541,
10.935898723198845,
391.8776303814209,
399.99616624855685,
124.97724694514139,
0.1653737489370588,
18.287912016188024,
0.012246669621429618,
47.10211144395164,
36.11047225986712,
3.1342921246098276,
0.04247090194269276,
352.89617774926387,
372.33341002354655,
15.826744952733929,
398.8376031351409,
393.10178493046874,
1.0235144520442274,
0.8942380193403432,
399.97017582834974,
73.38077458976444,
388.7341035328812,
0.18290960512017396,
0.1371526718066951,
7.01908105287834,
55.80404944869173,
0.03333290278693113,
140.9293381147597,
384.16555549537304,
231.92775857942482,
0.06989148406384427,
186.85184263763975,
1.0445467993624113,
5.525716674486358,
392.84802218483924,
181.29863100771706,
399.96972558472044,
388.73318714249467,
395.42483834138375,
13.12072334107679,
0.0007214018145074164,
11.49617055940193,
39.911583568996,
11.448051090892687,
399.98648490533253,
0.0009515858105713093,
399.99481940371516,
399.9993557906287,
392.7302581549269,
376.4171253915693,
4.5488222622668495,
359.43091101624736,
14.69341206414969,
340.2000867214367,
156.6481834668872,
7.705775738553644,
4.642221747177744,
0.028811547614671085,
0.15322649983722236,
399.98580403178767,
390.3942243853478,
399.99726860197285,
55.717496746223304,
0.013610164469790575,
4.2373384562603755,
0.07476081398338774,
390.07650219475283,
370.8298486136108,
391.3153494740813,
399.8446783553029,
399.9101800933779,
392.0982977073295,
0.017106143937106744,
371.7462077555247,
0.0009152359172759361,
393.51908191211504,
19.920964747708524,
34.81716190119217,
399.98173752224204,
399.9032077130393,
360.22640326227304,
347.528156954373,
14.236369034230623,
0.12074913453967717,
386.4890506877614,
345.33313749864305,
24.288931035109872,
396.83073566844007,
378.8022024638875,
398.84323066231957,
205.91855104059573,
341.72131750528945,
391.0723677897342,
0.8424931918765699,
0.0011823058065019154,
17.01364968163417,
12.188612182066372,
0.8303504137517681,
3.637453047548944,
391.09022474459795,
0.3545065578160811,
0.17678516715529113,
0.6263310982902448,
399.69812608974974,
399.9847972991629,
389.2019845880009,
399.2616453904053,
0.28004303739075365,
3.2359369771022495,
0.07313974100695564,
16.439761398726382,
386.5772877875199,
376.7664854463364,
8.858603729173375,
0.009265544433101347,
326.8925710122853,
393.71294887259756,
0.16978689424191895,
398.54122425989453,
399.8541664590797,
3.3917872985992137,
0.045121488400323706,
0.04731186117876707,
365.41757065359775,
0.487475552865102,
399.95990482955403,
362.35365214371546,
399.9992860377628,
0.028817601119945913,
0.0009147774231887951,
2.387324716327588,
399.5243705372828,
398.7179889323814,
0.0007028344187531843,
374.16386863327034,
0.0009228923460558036,
1.3224282912337015,
399.99944222492167,
0.06788453721795484,
399.1195801532548,
394.0995956447798,
399.14183467999015,
0.02877795790212634,
0.0006638218265297979,
3.9585637852097344,
9.844331996845511,
8.084967956003442,
0.018157210464297968,
399.99781728182444,
398.4375457791656,
395.4057232052482,
399.6651234032095,
396.02409640742815,
0.014963311968263504,
399.97479213712654,
2.6176666984297103,
111.59625703072945,
217.11236289243882,
4.096311518644469,
22.058538344396595,
0.2972884074453841,
376.17722843441885,
399.9947586414092,
0.0011649781918254831,
3.4435810062172223,
0.0008002292239961406,
213.2909772679163,
26.398353460065117,
232.65842316560747,
399.3314756352997,
399.99324287738915,
390.89223447799776,
334.3434623215133,
10.909689557389402,
32.53810640830579,
0.0016045759027250028,
213.14773931217266,
399.9759610249885,
399.9991747962906,
188.16500281218066,
0.19379926491081,
0.04089144578549586,
399.9128800853883,
0.001250110181438835,
332.62758380730537,
396.34447203691883,
399.99949311649783,
346.0185111633273,
399.99899993020176,
247.27769523985535,
0.05438192779350093,
388.8616573938683,
399.64278460803195,
333.71061200789603,
6.375399691593642,
0.014521369896991487,
399.9400626076584,
161.35328142767173,
297.4158475905692,
19.79816399906811,
354.76689573899137,
35.62139359105301,
382.2787105601342,
25.38285549177779,
380.8639629455096,
363.58664627834594,
3.295228456717414,
383.43746893265245,
166.69435181366256,
387.10175796016296,
399.8185853192393,
17.013369869025286,
374.92051393673114,
12.2537922341327,
399.9685383414005,
0.028769116551896623,
397.855298204959,
0.04320159303459192,
174.93975145368086,
0.0008996233826552569,
0.0019858209982404063,
350.65427062867184,
190.14787596476657,
101.82376968266067,
44.204265596081946,
372.9205373431306,
0.001358633531700626,
227.25413735240477,
132.86835211607442,
19.957285489011056,
340.90554482732506,
54.09743126363509,
399.96932870866317,
0.012196628878924365,
389.15445086316856,
15.867359091009469,
3.874251528086403,
0.3657570171953006,
3.9888860040938834,
0.01582437927150071,
0.3616546776955776,
399.99920404977473,
0.2526167199877305,
333.9707392659098,
399.9060770120365,
399.9971513290318,
392.4954318868607,
15.104455542652207,
395.3964850334753,
198.74774410273247,
399.9992134252308,
399.55098106371656,
1.2790591642850346,
16.538949766641032,
349.1987991048079,
0.09565066566679103,
399.9648859593284,
11.306769970710784,
353.9751787605128,
242.45573240172095,
0.06636989226582735,
0.035201570293219575,
0.029710692486251133,
357.4464989443534,
5.3721364632171476,
0.0007856872459965913,
53.1605404320191,
10.826029033346817,
41.33144371760109,
357.476796466749,
389.45763666789253,
43.50543946443723,
184.34301924686042,
386.53076719379476,
13.608598561092201,
260.2382081774793,
0.0004932263992785124,
0.0011951109866847887,
399.9972205089586,
40.78056914267789,
389.80379221893327,
399.9652931369238,
390.0662221148274,
8.118504839967166,
384.125046495225,
368.245387334838,
332.88593240528644,
15.280600459736004,
174.14821127938026,
187.6370003324105,
12.512724337400872,
0.09507089317504214,
0.0031569113765117507,
7.224618391647497,
0.5862547651420247,
346.90368689094856,
0.07435309579493232,
355.7588152361231,
0.07560776431494443,
399.9995045478302,
399.8651881884699,
7.877538792796979,
14.27527564931439,
12.91090293743773,
0.19502522051173532,
395.68815485549084,
399.92538724951487,
0.007482333630659532,
390.3252741586841,
399.46123883409217,
38.093718146035215,
0.39090277770592596,
399.46617776382993,
389.3830236597051,
147.38146911389484,
16.17601581307977,
7.866332285731215,
394.27648529946595,
0.03360684641431355,
1.365212587352893,
346.5943517056759,
392.4035112573614,
6.182214702464606,
181.08522287527876,
253.79801610077064,
275.0783684323588,
15.13672692267014,
387.405137098384,
387.2992709316105,
399.04143628419166,
379.32595599337907,
371.8802686831013,
0.012480043464235813,
399.9880474538445,
2.4800551973296336,
28.353402053283737,
164.0788669603891,
0.05193879445453131,
189.89103514300976,
12.544653916733651,
88.85951794873105,
0.7870997211315567,
0.054873915777542415,
399.5897937436006,
0.000459730846680273,
399.9891153978106,
16.09492788089404,
19.421354495514297,
254.0132193160876,
131.94282552082166,
399.97269903495345,
399.9988633514532,
397.4007418381941,
372.6772317019184,
399.04267883447807,
399.99778560642955,
49.942824267888916,
0.03429410638371433,
5.300759298362401,
367.56904792838674,
219.04230617131694,
0.14478051313826512,
389.444436533885,
5.11405890341885,
2.0624618910670245,
385.1565606719507,
66.40845144824658,
389.4940360113427,
384.38340760264975,
399.99936789576185,
23.94940171985873,
399.9396385792991,
399.99204653982446,
399.9993503000023,
11.462507198121363,
1.6035006217599124,
37.681403515628695,
8.889751393723344,
399.87648924462064,
399.93468009406223,
0.0004685005896787331,
394.44679655222535,
34.93502974600524,
0.0006869091615735456,
380.8888979194771,
399.95268585602093,
0.0028694906673676357,
398.191446168649,
394.61463185665133,
0.0025132207443823162,
0.9406786560637315,
226.4348089492355,
399.78937975372946,
379.973500274748,
1.6676477499709685,
29.422071645833636,
64.16570371388102,
37.02486742791476,
311.9223171917423,
397.46717474320747,
390.2219006905575,
399.99895947245886,
21.19594086487293,
383.0845264285702,
397.58722148820846,
31.685626010733593,
0.02751074720994673,
0.0010381175234552842,
394.3937702776073,
362.91680117062947,
364.4290170983286,
2.646361465825109,
392.1597431380762,
12.288165478680547,
0.0014843956695376193,
396.9635938345783,
399.78482164974827,
33.54961650863895,
399.9565224560274,
50.435979847649804,
151.7803435711707,
399.9546949409085,
0.09616366266607113,
0.04263248334193115,
399.9360836225061,
388.25443418902864,
351.54394302578646,
0.000703124147061196,
329.0635558317394,
399.96212164792064,
0.4520780792542478,
33.49174017156808,
399.9876417320334,
45.01928264821324,
10.869471190827174,
399.87677855025703,
3.12736481975473,
12.764975593012572,
399.9821195999608,
386.6915467457506,
10.612881365517124,
369.6729701009784,
392.9631584402176,
12.593939568373536,
362.8114048335574,
393.71545261870295,
203.00601841119365,
399.84898813604116,
398.8315471085616,
233.05865791158743,
399.97100724622226,
0.04231444363156367,
387.05554219362887,
66.48242093753697,
61.24831389271104,
35.693294733447665,
297.79607572196664,
90.44612223648241,
0.19716716209798868,
399.9940917544928,
399.999542037342,
13.20397947673655,
388.8518567366634,
384.20296066085444,
399.9879277065189,
399.976932242449,
399.98804697300335,
157.64367550402434,
202.0101361009985,
4.966103840240077,
13.600560940797223,
399.9879277463535,
361.66720139860666,
383.2817643243712,
12.786428321939457,
390.32837977066856,
399.9993285428292,
399.9850688931562,
0.5263319222440055,
284.75873702301396,
0.0012463079140712097,
399.9986653225296,
399.98442495191557,
399.98207750574187,
399.9758547135823,
0.0004645151098436884,
44.657598307414204,
399.94586751154435,
11.638739388781172,
0.015050835373631166,
0.0035144027470845884,
4.898001135787,
0.0013678080702295148,
0.31873172041045894,
358.5977352267048,
399.995399258536,
394.74098313634164,
12.12311179175025,
12.227287775472174,
43.76493152201273,
0.2508483814378515,
0.04378714195463207,
7.554016164577293,
390.9494723030524,
20.572040309470154,
0.057002541434880705,
14.587006691531656,
0.03586108206736771,
399.9836025779416,
393.4461980835362,
0.03616050717587527,
42.447191472728576,
399.8763554311861,
0.049057786029393924,
399.9685544802217,
0.01656758188262053,
0.0006730068820237634,
392.8050885324379,
334.56752248442984,
2.157804329795332,
12.385728893817705,
343.90116110977937,
244.5037537958327,
399.98478611502566,
388.50513536510954,
0.03572286967028493,
5.544374210065017,
13.16605689464767,
0.018960375155208098,
196.60113161195588,
399.9995425835741,
129.2437029744053,
395.81698390303256,
399.815608174181,
394.97482125932913,
399.9618386741503,
399.9986123258804,
399.99951333972825,
395.28794893854825,
399.9964556368537,
396.5816065245078,
2.9013235740917187,
0.0006259102795169724,
399.98616607964965,
7.331025763725418,
0.04088392254495421,
399.4875828958455,
49.64484765180881,
0.216150360708256,
399.9875727342331,
399.9686365739759,
32.333834747426835,
0.3001874452234432,
75.72671790319949,
397.2325944589413,
0.03889982191485064,
372.8421351969941,
241.12203792143782,
173.62734874669812,
5.477979907640207,
399.88016975780846,
394.27208706489614,
394.66296736128197,
190.3709446305899,
245.39348375705302,
399.729600298282,
399.9973142269552,
0.023129572479896332,
2.3258500350538336,
399.99534759388524,
0.000959959102919683,
17.779681380750922,
399.92605773705895,
388.2873245832455,
399.9483203022873,
387.5707432735403,
393.5144372639587,
387.5061877719798,
3.4431734741526165,
399.9401908324382,
264.2075567950535,
399.94214705697806,
71.61886208914501,
391.00558887873274,
0.0035624072539874874,
382.13431103995646,
176.06231228868248,
0.033768738417050415,
393.79867049177966,
14.12156479266291,
399.99235645261217,
399.9863254056306,
395.22183909797917,
399.7169094437515,
397.31251325200196,
14.17527306174553,
6.842470630535824,
399.9987113671569,
0.042320455204203355,
399.8137194126463,
57.53849801913804,
398.7195354912877,
19.960342649542785,
399.8964996096934,
0.024562533134364628,
399.99935455800914,
398.17239150429424,
0.024957986847429225,
399.96015871134836,
399.3688709486097,
0.0028448371582667775,
393.3708986668572,
0.028762988407904366,
0.038438603474677535,
395.91991839593675,
4.30272434976311,
375.265593196758,
380.22986086446366,
397.6707981456485,
0.008592491119996382,
399.91724308536834,
380.17843154200176,
0.012200777491222503,
37.29476685210314,
399.88792874672674,
399.9989007074599,
383.83862333824925,
4.26222374135623,
344.16723490649827,
392.9838636402167,
4.385117628335622,
399.2833935357048,
399.995362892114,
24.923067013401877,
0.3474765069375163,
27.645329386367944,
399.9861617886771,
1.3308980703182094,
220.023912475946,
208.48271059072636,
399.95552908003316,
385.70589308156656,
59.60559621816994,
12.112673243456573,
0.045792030159441666,
392.74394034457055,
1.4832773206746364,
0.00047835242946714374,
326.95476918591106,
12.804385786524787,
399.9993638889007,
0.200899521057174,
0.3227897136769853,
384.6012657894196,
399.9531139828015,
8.174832502470997,
375.95987475633297,
6.641074381228362,
346.84273895897377,
335.0107045041933,
376.5441646644863,
382.96499928237495,
198.8694655205046,
0.8676772450152415,
1.6816848839134924,
16.875880734861305,
399.96215115095913,
399.9987053603465,
382.4775038265017,
393.49276611718886,
398.8187660147173,
373.3496200590958,
33.526613174541666,
204.04188016548227,
14.252862257888243,
399.99945273390034,
382.90484562847416,
8.430987584268834,
0.017154426773324793,
214.86616936555305,
392.84446700514985,
399.9994254933754,
399.7667650215509,
0.0014588316353592035,
387.79280044872667,
399.98794627541434,
397.75991678349243,
399.2954300381188,
395.0022395147862,
0.721007413304342,
396.5183365148742,
399.9888002639335,
44.06687604004156,
16.36001497160462,
332.60219755444564,
388.4053560085544,
399.9535780739163,
3.528773188702683,
13.006550488044532,
399.96872081746443,
11.728225738466037,
387.8421136600618,
367.80004197553933,
32.03397650676185,
0.031805044808130845,
394.7890515109529,
399.9728499181476,
0.00980492240847397,
0.03358456237676499,
10.074473044095523,
399.9538551470288,
0.012249523619822789,
0.06248801396533388,
349.4045630143943,
5.687534749969414,
399.98798794674536,
399.9878320965267,
397.5319782714653,
0.07830831319752818,
399.97477893913697,
60.11227666733154,
0.04482745419513989,
12.677103123188438,
0.03941235221640582,
166.02086627061098,
202.39374453302096,
399.76219237109785,
0.03207231704105418,
0.0006368293897995869,
0.21566050371144563,
386.91174035692677,
218.67689249606568,
380.2436877168806,
66.47916830423573,
52.60144828061213,
18.26658497246225,
9.282245981300452,
0.036988641087409846,
229.09935881692277,
198.68788332870102,
4.095955484971592,
1.2373804410908074,
186.28596355575695,
395.43658717194216,
347.6547532368336,
0.0015703176519554773,
3.587712133268539,
1.228328256837874,
187.67246464947388,
399.988051389076,
364.0133207549577,
330.6526833791382,
398.7097897963944,
391.48619606361075,
27.30489764921906,
394.69810045416756,
399.9844633595339,
399.9988739222559,
0.040185209812948486,
399.9705800497965,
60.12055747068439,
7.550098770321845,
2.779177750780004,
12.207787211428634,
222.23184219772017,
394.3277262796363,
12.123296505109572,
399.8049151063233,
23.134263752915587,
386.7994294543544,
2.436601437397945,
40.962398001542354,
395.11364905293243,
19.19072166840403,
395.79677990013903,
361.85666205535625,
397.6543444122191,
395.0332269166727,
399.90974190822175,
347.0887847030004,
393.9190879169202
],
"z": [
0.001620316685935208,
399.89773140522817,
0.00001543098258061093,
0.6244078440838408,
392.57580745283695,
399.99990230584814,
0.9730825624409079,
399.9994970881473,
399.9944584049557,
388.9639611210242,
0.00011317885257877691,
15.276782954275125,
9.156668678994029,
390.5568096923433,
399.9889345919172,
399.99609275194155,
0.6039153099045791,
37.70745720224325,
0.003740193877854736,
0.0009748571549561547,
0.0020390288747007546,
399.99988323209647,
0.012232477713425283,
397.9481879322501,
399.95471170255684,
182.03782097754487,
0.0002325027461891338,
399.9980905406501,
202.4778510436195,
263.19443307468,
0.024974457943427453,
0.2304831953590547,
0.005231893876733729,
399.80114089643115,
141.21390262247436,
355.9846148191768,
393.85500809846474,
397.81847046649494,
0.0000309491485994684,
399.9999977612768,
387.44392102964287,
0.0001484454356992515,
379.03236468248383,
391.6834969167292,
0.0038914473786011428,
395.2677951633155,
377.9445342439712,
238.8256602216969,
0.000029309556048850993,
283.3540751190757,
399.6675226894876,
384.6998798557827,
399.9999817386173,
0.017403927565795563,
399.7176500668546,
0.000018561533154937138,
399.198746323525,
391.0891486100105,
0.6659731844195882,
46.90099769469571,
0.000004954682952806877,
0.00218822409465691,
385.94415399176415,
0.2099425300102986,
188.7330037490675,
0.055879700139027655,
0.00014673469581616416,
0.021275202992243614,
0.004606253463457222,
399.9530389915793,
399.99612149526575,
0.05846981633246262,
0.49541273507012207,
399.870106401124,
399.2582784387424,
399.99995108366966,
375.16185050184754,
139.77852331414212,
399.9999094646016,
6.623809528431357,
399.9994100973448,
397.7651887071351,
396.5273769806765,
0.000003933563141877983,
10.468695311520037,
209.68997616815273,
0.00023032326395000524,
399.99999561310585,
361.9197964822743,
9.51974735764518,
399.9936837662287,
0.000014260841174618122,
399.85825610467583,
399.9201756050894,
0.00572327098482539,
394.6895957635233,
399.7931112767993,
287.2417158046461,
399.9053336044507,
0.03067322435248432,
0.000033241537633621476,
0.32452931859738854,
389.27622779312105,
399.13597693830394,
329.80332970236884,
2.6352927046251695,
0.005245050391811112,
0.02048169841157854,
0.000018202147211709985,
19.688088870255903,
0.1153757662961219,
56.907869083962524,
11.057327716939923,
399.7103204165174,
2.6011620097542876,
1.961126093766441,
399.999991567257,
7.920710369055195,
0.000049084591591253,
1.0421854866657254,
41.82224456581694,
0.005538046459840906,
2.937141667737908,
332.45515706959486,
0.000003297685324810118,
5.627137608099897,
399.55632873244593,
0.058340510985743776,
6.952687575719763,
0.16641065119495924,
14.427524990287765,
3.0826173346288677,
0.7389282968889521,
131.40725266811114,
399.9998861877627,
0.0018662539360558839,
0.0024825069756984064,
103.71536115283145,
0.0982409826007169,
322.3877519201209,
399.9997748465176,
51.25938007569238,
399.9052956815355,
0.02127729788481414,
399.9979618148713,
399.9999828008625,
0.0001412840627157408,
50.3973383781775,
387.55129419758714,
350.2554469144492,
399.1354245889455,
190.60968198428318,
0.000030934847905506047,
399.9955735241378,
4.809091757505346,
1.2748808326439987,
1.1397753983724002,
399.8447550036752,
1.743683620064651,
0.0211340120715775,
399.99998208133985,
399.99756761895105,
399.9975192161336,
379.12802936682766,
391.86106161859664,
0.0002690951532935415,
0.0000068791206953022765,
399.99883787781266,
0.000007056257844695324,
380.84420949348834,
11.160458166080979,
399.21822196270625,
399.997943707791,
399.8420276527983,
9.121892247630603,
0.008003666958855682,
349.4892071157037,
399.94443698376745,
18.81724560457789,
42.02689087386982,
399.9994460378556,
398.6438418505074,
399.999766162842,
1.2451588067138974,
3.953206649429575,
304.75717161931817,
0.4120645900230313,
0.9497471823687542,
0.31430261540341675,
399.99984080012814,
399.9997560925422,
7.104580823808426,
0.07844604044289216,
0.00017406579646550568,
398.8478927691757,
399.9904595494023,
242.94430779209236,
392.4624441031123,
399.71665029506437,
399.5796310796832,
9.314526949835278,
20.438769859920434,
399.9960408677624,
11.85068472632318,
396.97006933729944,
392.02135171760483,
1.6921726802299863,
383.33734027584035,
237.86735467536872,
399.5140262742491,
4.546900650873109,
399.8866298134285,
0.3201595332079421,
16.98647278279488,
399.9978140271469,
399.99109763130514,
394.07334376121923,
349.6871783406921,
398.40138486521874,
40.77148883142476,
1.0363669424638289,
0.00011644712425429304,
399.998023980667,
354.63523611350377,
2.8103464068273576,
223.65618878808706,
399.82264465394354,
89.41522552668957,
0.15865096758358455,
399.970547019727,
0.0003737200565234744,
399.9997871344421,
399.9956793060493,
183.70578428830515,
0.00003939423327548042,
0.00015940513149459434,
399.56796127340846,
0.0018757169378158522,
0.1001232979753297,
399.4314984390969,
399.9997320017985,
392.48829157821234,
0.000003586534225163973,
0.251059348296212,
0.0024600622372528136,
399.7748693145243,
243.60475269191636,
0.000002172685520385187,
3.967736084331963,
399.79957061758364,
0.0019524468366505232,
397.03328975400103,
260.18956839491676,
399.96859650378667,
4.81259705590531,
0.0019512560946122193,
0.35563045760915735,
0.43672889897123923,
392.00617329248536,
43.88467260998774,
187.09054972585974,
399.99889025002375,
0.00004122391892291688,
102.37161689260898,
399.99990776198644,
399.9986355968887,
395.07964214214445,
399.98113965786024,
2.807240976637826,
0.002770850713185169,
399.1585307570023,
0.0005168718085091228,
0.000041764028346769067,
0.013964625152085297,
0.00015373196322610028,
19.23519407912062,
0.04570828667824767,
0.858851840279784,
88.47207342423336,
384.0031860128511,
0.000004417532739608987,
399.9997922720757,
399.79487314314605,
391.116173880249,
0.000006826317955344052,
0.14341499694090487,
399.9865736052985,
0.07848303828952297,
2.5074281142305477,
75.64598726107003,
392.2645616404839,
22.394878414103214,
0.5374347389538903,
127.2961316156716,
2.530617910068278,
353.1177960202059,
399.98781449630656,
397.23842609129923,
0.000008811685581200379,
399.5957171958256,
203.82046352910436,
398.90669237811045,
2.011970485144965,
0.000012831233098253847,
2.5631923519095157,
0.0035122101462503608,
50.49719049977841,
394.41064410085073,
0.022004062310299055,
0.0001182146950773344,
0.0441012889268233,
397.40661184452415,
171.87181522243486,
95.3644540311992,
199.01952149760515,
399.9872426387964,
225.08865412250478,
4.238393377248428,
0.00003325576536372665,
354.4430850227874,
17.30295544743814,
0.02314840808113061,
106.46542674209807,
31.73108683584267,
248.04887443944233,
0.005038953457359163,
393.5524740188038,
387.486711200829,
0.0026819201114136604,
387.01417015054614,
399.9999939387675,
395.3690900770432,
0.015364128461370363,
10.528974843033634,
0.006203871725229959,
383.77616944160053,
41.30709256663852,
2.3707801229085446,
0.001011975217779515,
0.00002792940807516686,
392.12621687550603,
392.11654289841687,
0.00011353322020291046,
1.9505141043442586,
0.00038770974331026054,
0.981830917694837,
41.123590421892,
399.9613812601988,
0.003585806892103527,
0.012242997694911217,
392.2323935345093,
0.000002427491563317119,
399.83607294705917,
399.66268121560296,
2.8406423091962285,
3.186422761969987,
399.999989300617,
399.73415790260304,
0.9801458488168269,
389.2167739210186,
399.9955476272168,
381.41443778759026,
8.884815146588654,
165.9317883880233,
361.73253376402647,
259.56981200515673,
250.9708041362356,
399.9696655401614,
359.15414524395135,
27.868078823503573,
399.99665413679685,
0.00005982931607917408,
398.0404608936306,
0.3762382658456964,
9.507467544793702,
0.00901082056077307,
0.6255813973926827,
8.911423346757651,
241.2496500114636,
397.8739853584407,
0.000013117071517854129,
3.0265840511221054,
0.0002866390110822792,
174.9800974118005,
0.000012810259830686732,
398.6467844045233,
1.8361153766461635,
258.56006767070727,
398.14475151884494,
378.3738355923491,
399.99735650771635,
399.9864022402726,
399.7464397578061,
399.99881172703533,
0.16861698480379328,
399.99999174222313,
399.9924642613541,
399.99700889555487,
399.7275806650747,
0.00041390141618524723,
399.7164331312449,
0.004075549384841004,
3.138922123920662,
10.539597226836484,
0.00001882778757344994,
399.7103391413839,
4.079459177212286,
8.307444059826906,
0.08454908833719355,
399.99852887240104,
0.01886196500315851,
1.7984802938634248,
1.371294843501758,
0.4787467141542656,
0.020441873914744946,
399.3828290833733,
0.038995325178725615,
0.00008850284372030615,
399.99998916166555,
379.91712343567343,
399.9998340340209,
0.00031362775450016755,
387.12350261802067,
22.09830334029972,
0.03514054186117832,
72.64373498509383,
399.9996504399136,
0.000004029110045600248,
137.61828170840832,
0.03899659482735629,
0.015260870562827655,
398.45169038762435,
219.88564096418136,
399.9886103318826,
0.00011362636103129375,
0.3450319861857176,
399.99995299710565,
0.0039696820847590075,
399.9999888493095,
0.49333125223369745,
275.1205038186923,
25.90152452145493,
0.08881722114093549,
399.57865508296555,
0.2096531936272905,
399.6351747810869,
388.21641248164485,
0.006256714986951906,
399.9997615979855,
144.5683326026989,
0.0895594199987304,
347.8645555012247,
399.9999827506807,
0.017042709883940965,
399.9999569420165,
0.000010077655154816512,
399.1293967460634,
16.84136879294391,
0.03840025700958538,
10.55024674829317,
399.93777168496314,
150.86244793521763,
19.45104591399547,
0.27257724067020206,
399.994943177842,
399.99978199584166,
29.12800217129792,
399.8878713330014,
399.97962677811535,
0.000004494684069378252,
102.13549658398593,
0.00011309356799937831,
3.079465527161518,
0.02269123868046119,
77.60212970532183,
4.8353960294482246,
271.77238496144673,
396.08544164463973,
399.0740621236567,
396.7049844135911,
0.0035862033740174937,
1.1197202948504126,
399.99999758841335,
0.0006349565919272493,
0.4412798709632737,
399.995675068409,
386.4464148172104,
396.355933194162,
0.038743132362761834,
399.6363056098721,
398.98601795089064,
15.132017765405292,
18.890991862169514,
395.1625084869181,
2.9812857086064737,
0.0001662284170089734,
0.0000021564474428359404,
3.254663441143779,
0.0019869318693244153,
399.99999283723093,
397.10149749412784,
23.15951487157659,
350.4054072097569,
0.0027169933383586198,
169.67862237342678,
379.6331504603913,
0.051322702969680556,
377.7569621588383,
11.844944549888803,
51.079274876428514,
395.93747450345614,
399.9999233068837,
399.94883271181635,
0.009998194228155732,
0.016681070285806676,
399.4222360499363,
0.44473022345958846,
1.5006074020901927,
2.8728865707081663,
0.009618102616748558,
0.0025193619468621975,
399.9999881115917,
399.7100342595426,
396.97543552020574,
0.00019820257846081546,
399.6103270369698,
0.0009215549165331183,
399.9984919280634,
32.81510859417294,
384.82814118815486,
1.0969675293867054,
399.9991102592744,
394.95424545938045,
251.72674145943378,
0.4588111003319906,
0.0000021703366215319875,
2.9741848754800904,
0.007370926792571453,
0.41541200755437213,
399.9723984802536,
0.033172742999498794,
0.0017522648672052554,
395.5876368069783,
399.9944836058881,
10.023768631864606,
378.8601173456622,
2.3682511361135195,
399.37195838919257,
388.2307125945362,
399.67677563400736,
399.99813226606176,
399.9999975760625,
399.7311415465767,
387.89097543692475,
0.00001326178962202107,
0.17498623640337385,
384.8412310585928,
234.0134849130667,
12.298774314295358,
381.7960871037141,
392.00603750958163,
3.008623551831069,
399.6564958793442,
29.952108135249176,
0.01556288507080783,
0.030980448574169372,
399.6512927327172,
158.82763085429562,
0.005578316086873869,
0.0000026344470605010883,
368.9393072556869,
397.13441060908207,
399.99988245866797,
398.5700579105422,
395.4702538055896,
399.18354056991444,
398.1220097538479,
399.99991050581383,
33.84725509617488,
379.2654233614711,
8.821102790021618,
399.9999977621246,
247.76595580784027,
386.02200340011956,
399.9998846211824,
0.12050276724884235,
399.49519454670434,
176.85488524827443,
0.0037098146667524645,
0.006217669059327413,
19.450923736050328,
0.0011979505914361255,
399.86714384014135,
399.9980902156209,
399.4705500463725,
399.9972945346166,
3.356848875977181,
399.9997260865107,
0.6359645426077698,
399.9889381754143,
399.99993345112756,
399.6924980132871,
399.99949439246274,
399.99994691719866,
0.000007888753073004295,
0.000013032994861106317,
0.3688264897315996,
0.004384897918474628,
20.94004460551644,
394.02520633426025,
399.6097177490138,
397.93665064674116,
399.98412159330246,
396.4376455559242,
350.2534279165821,
399.99481327846433,
3.82634035029612,
143.35058607262408,
33.922544714954306,
399.99863721495024,
398.4434391054351,
392.5792001064297,
399.99948978143095,
395.8672777094625,
373.5124245361539,
399.64816478340583,
399.4319432988145,
399.95102906378355,
232.9448102025374,
399.3234790866504,
351.2109905713711,
27.891608882474863,
395.37360865821853,
378.5449017048583,
399.9978690837938,
0.00017164698522531552,
0.7682756537287228,
399.99999425332373,
0.00002000161569704062,
0.00000397100603510836,
0.1838467219913209,
0.0000062641145603947734,
287.08025848027535,
0.4678932278598058,
396.49107233489144,
1.2535024416954865,
399.9985064485557,
398.4104215286003,
399.70448113984844,
352.65983935451305,
380.9403893074779,
244.02801287227325,
0.07686686312946556,
0.0002384050704407059,
241.77069997138273,
198.40610152382675,
395.2806225960779,
187.4455986741833,
0.0010922091869369766,
0.00002772568952202903,
49.53271806999755,
0.017755878978764628,
396.9652689270238,
399.83110764454085,
3.4714891209662646,
399.9999939159767,
399.99810063574415,
0.0006938021716695886,
0.000031511698983521796,
0.0037275691219473828,
0.03447133509484335,
0.004559066466081063,
1.8396188178148254,
11.869566172485403,
0.004704589045112506,
0.0010586684103142119,
0.000008617429325674664,
1.9583665329069078,
399.99978451059803,
3.0774869319680542,
399.99529504342274,
397.27074750673427,
0.000003787976754487943,
0.00000767978247662171,
0.000009774171116916364,
0.002020092603394197,
0.011551778765528375,
193.843959237888,
397.02609567688546,
165.63827841541402,
399.9981628223839,
7.867056230340408,
0.014429380771940892,
156.09923039361328,
4.521579695577405,
0.001736095075255406,
399.30681959273477,
0.6331600972008689,
399.99997554786916,
399.8465264583341,
0.0000029281446156659285,
399.99994517130284,
399.99998576802244,
1.579226775610909,
399.9998838764805,
399.9997341738431,
399.99859717385925,
366.4315407564876,
395.8029813516135,
368.8647792693819,
5.084602788482417,
47.033667590761794,
399.94573586018953,
48.6026570185907,
0.000177894419972624,
16.41474149569291,
0.024275957076058674,
361.53215186838696,
383.05353457690796,
398.41483980585883,
399.98037226696664,
0.8436243982946401,
396.2929198070395,
0.00980227830886804,
203.55655842153425,
22.93525522888016,
2.4837406587018496,
399.9999977370771,
0.004336944230809436,
399.99772013254693,
398.0264656720683,
399.9999836619962,
399.9611623175002,
399.9968572405128,
3.9490746660600706,
0.5165363251800059,
0.100549895419344,
4.112213119788555,
399.9747712744783,
54.9617082987913,
0.0002524683486049284,
198.88262602935077,
399.98803120189706,
286.4671930965379,
399.648681030394,
399.78342417522134,
1.081837515668127,
399.756197021902,
399.9998191392379,
202.66811398054355,
0.4675891927782283,
1.2115712456970185,
0.8493400142653984,
377.5989694485058,
396.4143906513437,
398.82287529888043,
78.71741279015679,
218.45791620547104,
0.0000023501701473804815,
399.1340482096787,
0.002719942216367066,
399.99604350227196,
0.0000025165355577172477,
0.2764421056115074,
399.9989694985283,
0.023057407608595426,
305.289113302695,
396.6088914164293,
399.99998585665446,
26.480090374971365,
385.02586434347677,
398.0534795598567,
398.1046576169645,
0.3689546004343125,
399.99989059676267,
399.55272272951396,
352.2157933271083,
4.048875501328131,
399.9975636002524,
399.9986544096331,
399.97703959117314,
0.00041942370754277647,
398.23841066719916,
0.004599140916639044,
353.4523553784665,
399.99973105731283,
398.00620204808087,
394.66469261542943,
0.03148580029592729,
6.831354813596557,
0.048702594673732946,
0.19159844453062735,
399.98445191327846,
0.20218358906471945,
0.0008841031421624734,
0.9411408677203914,
399.9959092800497,
11.803771934187314,
395.48328334272816,
0.3960046946011486,
378.6089566350194,
3.5211088169947002,
399.9995602433665,
0.00037922118452105025,
362.22937646218793,
399.5772054464657,
359.6049368103601,
0.008032740157415397,
8.974010856691162,
399.9999899978067,
0.008833972305111182,
389.4826132069441,
14.643866471341704,
0.968763358086866,
399.725732863431,
17.31403222725001,
377.8398677727367,
399.99358168294236,
0.026624971424804578,
399.99796485109226,
399.9973231629825,
384.0073150496263,
397.62187892217946,
399.9980087210934,
18.744987357930263,
399.92764808439745,
399.99999330993734,
311.97063643895575,
179.98066192585293,
355.1747174221974,
397.96135636172016,
399.99749448416094,
42.28565396652335,
386.1019422579378,
399.99791509809927,
351.0475535572705,
399.64541637089275,
0.000004879916026823139,
388.4962327471315,
0.0011128878129040842,
378.6341614449797,
0.9577233335117175,
385.5385514719078,
0.0000021977204722745114,
294.7940212622085,
392.10411354289187,
399.99998727833986,
0.000030892632629786476,
380.6383127180524,
0.0008891250623310754,
4.27179078838249,
399.6150698412461,
396.2996418485738,
0.00004665061095199263,
0.0000269199541103049,
4.583802272477366,
0.000794048278485171,
349.60756375420584,
80.17451558643609,
397.5738880776965,
0.000007600399953844317,
399.9999920127877,
1.6301711752350512,
392.0252788658349,
0.06772723134618186,
3.7484366508121925,
399.99751611119905,
371.34925004409047,
28.842059659087326,
399.99996474982476,
0.0032957000422273453,
0.7407818079916861,
0.013424007245954606,
2.80151900014578,
399.6547760442629,
12.279486472111412,
0.14928928770336913,
0.2783787221122491,
17.760328834948314,
399.308242766401,
7.641555471861516,
379.8511327337855,
399.9998754586884,
0.03187007306566514,
194.9725000165609,
0.4308705439123983,
9.88066488621826,
394.3480936906648,
399.999530423584,
379.97732012402474,
399.98326479472854,
399.9999873971408,
7.3347011013739305,
398.94825679035785,
399.99802095374594,
0.003670412911471743,
399.99800276741684,
393.14032000475765,
397.12017555855505,
40.69334646749818,
399.9999923852096,
398.5476496233577,
2.7650237629682772,
0.000011543132560909442,
388.9373567009269,
399.9993586638853,
193.80301002116843,
67.44504238645095,
399.7317654594207,
0.000004613496829009023,
0.022815427593259052,
232.55312120307195,
377.73735689009004,
0.009920473998925594,
399.97129395148477,
399.97880157507063,
0.029082732400720346,
399.6456495436786,
9.374086722135623,
0.5605386850576544,
0.4079686082882006,
399.99985047172544,
391.6030086547371,
352.76248028373044,
399.9729118660029,
399.9999855971498,
0.5819028145293004,
29.052043265051154,
395.84337634650376,
0.043649299606673964,
396.4991314703795,
399.99915838420986,
399.1758943916083,
62.61135198644412,
0.00010297168071549123,
399.99979951617064,
0.1384251881522358,
389.07529626482085,
0.00005014484265597474,
399.9999631288339,
399.9996729250626,
0.5640202112177306,
352.29722463873145,
61.927106138329876,
0.8685900840534666,
399.0435972222689,
91.4490424050161,
399.99986039723166,
399.54379219153395,
0.6389313308183597,
0.043795851660388685,
399.9798464974607,
204.7499810696238,
395.0965622800266,
386.7725491108141,
399.9981304505699,
0.6778523803263159,
399.72553065139687,
0.02948701824581068,
399.9953266313519,
399.98752886458317,
0.11677004614265574,
0.0006471656562867523,
399.9991635544088,
0.00032485207541732564,
399.98605977309774,
397.9234709511938,
0.0018143923182334376,
396.7128535807838,
0.00954234578238733,
0.00010505935679194778,
399.9949416484105,
0.014992424980730945,
0.0000032488817414133564,
1.9310414904295303,
0.02876592465828054,
0.000793804809240406,
0.002013199048667147,
0.5867963045959046,
8.498949652628852,
0.003969631076583546,
399.4227823097808,
22.83500204069828,
0.0001529550616385933,
399.99999272870986,
399.73301907027087,
14.86838741754244,
0.0028332836340183576,
80.56370777587689,
6.57196541048064,
0.000495289775037655,
397.9211678247605,
13.512165613897253,
366.9106072550218,
399.99140903939383,
397.73299991009264,
361.17765610890393,
399.9877218892425,
0.11335013893596368,
0.1951404128127665,
0.0005470192809609031,
4.307391884405765,
396.4116794041001,
399.99988595475065,
0.22301387127059424,
4.639563410800118,
0.00043742885964537237,
399.8982115794266,
0.5750240133754803,
397.7880237325723,
399.99793929283925,
393.07179334692614,
394.2883244767304,
2.385596696680592,
0.00019574195817551043,
200.81264617918805,
0.000029414749991296674,
42.91717858543793,
350.0845847964772,
368.9444931342907,
399.99987954894846,
399.5346953501682,
399.99810149897047,
399.1368023662754,
2.441288345549908,
399.9320313883331,
385.8784816084822,
1.3276613640976986,
379.8624553202695,
2.6181324102522385,
225.37071687316518,
2.584589825165984,
399.99999329137165,
1.1830193638566744,
399.9999791992337,
397.93154220448724,
399.99919284581046,
399.46204290105845,
224.6368077475341,
10.09382733391977,
20.66258112247339,
16.088876701900645,
0.5233885837436558,
351.97116542267236,
0.000008800188378010887,
399.99812736052365,
0.565921243918055,
399.9967138039573,
397.49832761775934,
399.9951969437556,
393.3182032635881,
398.77718624074015,
1.4884663306102386,
399.995209723228,
381.0138631586841,
0.0043000111242808,
399.9970265037481,
350.98470423843844,
0.0005882589562355989,
393.53259625662184,
0.000347408266665461,
399.5539513395544,
1.2804020559562757,
0.007204614515732288,
0.00005464670052024445,
399.9999978209816,
4.704482251807551,
349.572806240432,
0.31077605030978006,
113.20898950584373,
16.538675307794048,
399.9980302760735,
21.985832719494304,
0.008920634375786385,
397.2790299644899,
0.000662795224126711,
0.7651875314922396,
396.3238723131483,
364.5381427121463,
399.9723416873929,
301.4771983404729,
0.004933151816088888,
399.9999632709079,
381.4947000584036,
0.30082756657516807,
399.84621379700957,
399.97504729312476,
399.94275567743483,
399.99987729959645,
197.21806402701534,
32.68474216192943,
0.05570934378529291,
13.337247240747052,
399.99999339083405,
4.320023328794176,
379.4250727123232,
0.28406155919755705,
0.00613195408587508,
0.0036136743022385787,
397.2722150058941,
33.920410781762826,
393.79275420544235,
0.10012911529515556,
1.427963536261423,
399.58631212185185,
369.0686277911067,
9.733274462257135,
0.015243807023068712,
247.2498923713765,
399.9999958381143,
0.010877949622867256,
245.26423770079853,
7.907224480588404,
3.269984324186548,
0.06596071653659497,
366.9218694643612,
0.012816412128513477,
392.06382627710855,
2.0450337137894126,
1.9506235505055924,
240.8997543067041,
399.9573633755352,
399.9904940865202,
396.7961143691916,
0.00028035151677929804,
0.01644051052509532,
5.877980748160816,
0.726725654309579,
399.8675023913563,
43.1395227565641,
399.9999920720713,
0.2539681714074149,
390.6480895732749,
7.151848222947543,
399.92252381777325,
399.40678863038517,
0.03615805547427797,
0.4499953467976825,
0.011926223158353899,
399.9999945020669,
399.99967144185666,
11.58473634426549,
363.3050798648359,
164.23695260740732,
0.00003774948200696571,
0.920879589700152,
399.87287883484896,
0.11032108270323526,
0.00011307531144755245,
399.7459275393857,
0.000006262906659948442,
399.99999784456423,
399.9999880723214,
1.6183794249115646,
359.47083767660416,
0.00002285932603207641,
399.99998254378966,
72.66735246827649,
43.78033521341833,
0.000015177232781660166,
0.00020544383667608912,
398.71758228149844,
396.423866355776,
399.99810192166643,
395.9914200254082,
116.32600242183003,
0.4231124985911938,
233.63285956408592,
5.840673979416722,
1.1287628116553927,
0.013128630462677648,
0.60420999853108,
375.20963810076677,
0.1968486441887629,
399.98323569251215,
376.2231751758505,
0.26510286342678047,
256.4082019045454,
388.254481339312,
9.282000090785768,
399.9999938240742,
392.4150482709646,
399.9876552535488,
399.037719635911,
20.743775364258642,
0.0037844790002905526,
396.8278699160286,
29.05448847702017,
296.6845065161042,
0.0025937180278434724,
399.91926597992176,
399.9999970013899,
22.786861531364334,
399.9932339118962,
241.43422239180694,
397.766338393632,
255.0620315361323,
0.0077738225113366255,
49.51312615941017,
0.0030666492978781434,
352.6572561376784,
378.55487976580554,
399.99988668540163,
0.002116551211672757,
397.05436422901687,
399.8916157503254,
251.53382485356212,
39.24252293627668,
0.024106786867017505,
397.34095147809717,
189.37141029367402,
397.21138489503085,
398.9777434407769,
399.99164296573804,
399.5010213196821,
350.2424308513593,
0.2966154977811719,
32.991856319451074,
2.893724314023016,
398.1706297096473,
399.9995585907378,
16.963092257814004,
395.6668729349878,
0.2004998878278208,
399.7347099334814,
240.18176025258188,
370.9123033118944,
399.99990298602796,
399.99303842812407,
395.17398622641775,
0.03810738782346057,
399.99996740182604,
399.47763767133705,
384.4262780905825,
0.0012257974427720697,
399.9999892044888,
0.16924694795954487,
385.8371127961103,
399.97808891234376,
0.2677344237490331,
399.980915238649,
22.387083650611793,
48.909525320475076,
0.1689230295969013,
14.514241648916304,
33.78776804896164,
399.99954140948086,
0.021475509102542034,
2.9520309280276713,
399.98806637391107,
0.000007316885763941627,
399.99813370014624,
399.9992131896292,
0.0013947814667014669,
390.7479041268008,
399.85859458859005,
399.716170957722,
380.91207017488944,
399.99872734053986,
399.999838921198,
0.0010598095186109546,
382.47885264094305,
1.9839878267251754,
116.42278939502293,
398.0138509014046,
15.675877533418724,
399.99991783850186,
0.8291765969245635,
399.99994380022093,
257.8281272965193,
0.00000425038821916246,
399.99235352562897,
387.7353921510954,
399.9991585981634,
345.8684798496863,
366.4755510696634,
0.9657082659431326,
4.394613032316119,
397.39110752967343,
0.049388031788222264,
0.016646344969251103,
399.99999329046966,
213.1149423644848,
19.31560360839628,
12.247367176048574,
0.000002172417667978266,
399.9563767234135,
399.99999334657474,
0.0000022020101297925976,
15.666139535664247,
331.61641961626015,
249.92165880957288,
399.9386272019551,
0.05988649586143868,
370.86646474385225,
0.0038269933192003336,
399.99810280635865,
399.99999635346677,
0.3537710964172769,
399.9998859322694,
395.8677513143311,
399.9958896457965,
392.26071534566194,
339.74355198293034,
395.1676451458606,
0.0019135747158616212,
22.116987544632096,
0.33764111906904315,
0.9613506533889371,
399.99989960005206,
272.9880440515151,
0.030225145827955657,
1.0858110642559815,
185.19069912820987,
159.3740435566207,
0.009067348348446025,
0.36083971102987,
0.00011655782439223827,
154.53906077937765,
1.589345683881005,
0.000009329045558281734,
0.427589824816188,
360.74632029565754,
399.9942807761261,
324.8693997241571,
3.3257857933426616,
399.3292299219099,
0.0018897629456393616,
126.27120366735357,
26.189463178673122,
393.2396555798977,
399.99999673574695,
399.9999659915375,
399.99335072888647,
261.65371855220315,
399.99999387259237,
0.025371913127680834,
374.5622056618721,
399.56804732305335,
0.45775984097247147,
399.1929968305752,
399.86663382322325,
395.1751231089185,
398.12779402807166,
0.00003283280396448873,
399.7179430376764,
0.00011313038477123172,
0.00003551849039329369,
0.005793243382123947,
399.9999978332576,
3.7553502216822077,
399.99805710964324,
1.5927823636989524,
0.00012117105006037576,
0.8362809816594208,
398.7178372353744,
399.9998996984625,
10.093725008001142,
399.99219762490054,
0.12480294711874063,
381.5288696649595,
0.6078808754546472,
0.0000030200574263616886,
394.07379942667467,
364.060241438261,
0.05676427613110491,
0.000028598542844981978,
349.71521925867626,
33.293598914323105,
0.01286812175977925,
198.5242501754624,
389.9859295895679,
399.999896512378,
376.17041992700354,
397.3032507505239,
0.0023428038332440337,
399.9941255666228,
1.3644187859077839,
399.9969915440313,
11.371279145243252,
399.99971941217484,
0.0000032174868547230062,
399.99969456404864,
28.25799659213328,
399.96834483039663,
350.625312373382,
363.32588417088215,
0.00008888327807099472,
380.6719557552076,
399.8956538632953,
399.9490039912729,
343.08719769026084,
2.7762445724266227,
3.802016219400284,
0.6064894012980826,
0.014220141966658773,
399.76331010968147,
399.95666826746464,
16.336934073853282,
49.1297188746544,
399.96804128169384,
0.000006292452292555595,
397.45614097224984,
398.94520563875324,
1.7519310870494742,
35.18133068454124,
399.99607985343266,
224.86941628906916,
395.1066060828885,
12.934873433874028,
397.14798241111043,
399.99705064855624,
399.83433722546744,
0.20286188991143206,
364.80989569485166,
269.9786689040596,
144.32872708295008,
384.21490607283096,
0.03584593306686923,
0.2709156817166214,
177.63698151502706,
14.494160420242208,
399.9969561359611,
399.98972462309786,
397.6343506283001,
0.000002148983124783399,
392.04849273388254,
0.022736382848043135,
7.2775706416252195,
1.5922582048573775,
0.012515399980106423,
399.9807175302179,
0.05861097688184547,
0.01880646815195508,
33.651231228025935,
364.5278257343529,
382.91507627052016,
399.9972624325559,
397.06877571652717,
108.29100102120273,
395.2888406842065,
399.999175952462,
17.45584178800941,
399.36717542893723,
399.849132452775,
395.1756606079707,
7.696377356043738,
0.043858892916270875,
399.18360614921585,
388.85644334309524,
0.000014082250365810012,
0.004716165639861991,
0.0006636937573967217,
0.6534622101775245,
386.41518200168264,
399.63355699860824,
397.0786381141788,
399.7164588340572,
0.06365109650192657,
399.9999938804425,
392.1911703741999,
0.004352494010206875,
2.138706505670962,
399.2413584339629,
166.01228615008523,
0.000007216249531261099,
0.000008118345085073031,
399.47512772331254,
396.8238842527633,
0.000021956816875778884,
399.9950000987693,
0.08837130478374089,
373.7680932575239,
392.73864714454504,
0.4904922148779134,
39.7003747987285,
0.008626923219612337,
0.26131543055452067,
1.2150859282121562,
3.4021751922215238,
0.00012278701266854597,
399.99947489442167,
399.99999778592274,
0.0005892505047455643,
35.098746015542524,
386.5847593551438,
5.235816436622565,
390.1550303773648,
2.277312924538588,
399.9740734747716,
0.000007923741796034278,
394.2511593775016,
399.9917202448597,
171.2829483861338,
399.73075887857743,
0.40373505281181554,
381.9415686612495,
18.970608771958442,
399.9987654685653,
399.9999787627848,
399.9981325674189,
35.11501610466452,
0.000014630678424332189,
0.4055539929160634,
0.0007455511716658592,
0.8970864849976001,
162.07386693044364,
399.40409567039285,
350.67913821356694,
46.41470096501945,
1.0518840126794826,
50.017777833995595,
0.0013633125278467162,
399.9999887938287,
397.6730656849476,
366.665079673369,
0.6573351046459397,
369.3136402012864,
399.99865656361,
0.000040724880090436955,
353.5554746984893,
0.06970067275329228,
396.8776047767801,
0.00011596520745893457,
0.47818213000514476,
5.805272827436814,
0.569911300611059,
0.00011438919651496349,
399.7290125431266,
399.2880050034591,
0.004577872178912479,
0.009781097779293368,
399.9999293911118,
386.4868101507393,
394.8833498550016,
399.9990814252433,
0.000008306908760857823,
399.9999909673837,
399.9873239251617,
0.004715549401290708,
399.99646813418224,
152.5859232614637,
1.638178248675115,
399.9918576567167,
399.6449209593657,
381.23277452498616,
375.66745869504416,
80.70250262140223,
390.82621022122356,
399.3702915587841,
0.1252088209661606,
399.2850453425294,
0.032632849716818235,
2.418588978511771,
0.010537601543991748,
399.9999871021341,
399.9999975804442,
0.02169771329756376,
399.99758546714423,
399.97388798112416,
0.0000021511904479964983,
0.0022253178340925217,
399.9918718294617,
312.7069897435108,
395.29885826555346,
399.9999938415609,
6.930099068610707,
379.0039523726592,
283.79678533495604,
399.9999705227406,
399.9997010651647,
399.9655617708212,
1.6400772870660774,
0.023057727583797316,
350.8136315796404,
364.9138769683486,
399.9811161747279,
399.9998481245653,
0.0003655617639042319,
399.95684022451735,
0.0005714800217715421,
399.97500999943037,
380.045641346962,
0.00312944717109076,
3.307940506910967,
395.49961373368717,
399.8392476872778,
390.5715837175277,
399.9672693716586,
398.4008269015134,
390.86383708714084,
399.96395841730515,
6.448532261930673,
395.1870740341965,
399.1671896984086,
350.0781133702523,
0.004596901419118282,
399.96359985298494,
0.37436187092110274,
399.9513992576915,
3.145364556516883,
399.9989776926129,
0.000008192689704422662,
399.73502370896546,
0.0010580239279578407,
4.336470196157283,
40.104452717357674,
399.50788237496226,
398.19269675113236,
267.4410920755912,
399.99998953458726,
398.66127229312156,
0.0000028322984180206845,
399.9765543823449,
359.3327002030791,
0.0011167247395249547,
0.000051108481891048996,
395.44021747739333,
0.007636384456843892,
0.0019524842409524013,
398.41029614872497,
399.99352428106664,
396.1574658187874,
0.00023009646050731192,
398.67205719550736,
0.006034513271702124,
285.3889841671442,
37.08075841001923,
0.0001336837916809941,
0.6830467710535748,
213.75266356312784,
2.4461464185378423,
11.58548869859597,
0.0007671625438465668,
163.90798851232583,
2.8864467430752994,
1.5105995051703847,
200.10867468470192,
0.7984504524381375,
390.79995223937,
399.7384942049218,
399.5595035478911,
0.00012648637017775854,
8.906056418376828,
399.9999963413623,
0.29071428972387015,
0.048949202994164054,
396.672591114627,
399.8319839233896,
375.4121083624285,
399.99021587037015,
399.2394717003989,
399.9997662913366,
9.2478675067166,
0.0130939144307618,
399.99993105668034,
399.9998845859185,
399.2896153797176,
196.5444765993434,
349.38585301546993,
392.628502845,
378.492345665654,
13.015278679760044,
399.99978624516615,
0.000052009223416860095,
399.9976860070018,
399.9805622552431,
308.7077158998893,
399.9441228320574,
399.5412876757392,
15.202320439830451,
399.9953730607143,
395.65616981617364,
366.4545764531834,
0.06357632746538666,
0.0001093501637017269,
11.879373923717363,
399.98591287124594,
399.9999591793718,
0.0000021939488892286363,
373.9617096129723,
399.7234336221342,
0.00013737042126038546,
8.091256446085392,
398.89372590763213,
1.34478211901079,
3.2321747120716227,
9.659693424622606,
116.28783490684143,
0.00013497978241794328,
397.8057251126932,
399.99999393758657,
398.58809036074626,
1.5007311638875587,
4.620019055184299,
399.9999966478326,
399.9985123481075,
399.9999917165468,
399.4169681802182,
399.00101535171075,
246.57073956779593,
0.7309042789027664,
399.9997702581246,
399.9987221338925,
2.7242144712676053,
0.0006577556999731726,
218.86784362892985,
178.95174564626797,
398.9741677187344,
0.00032442053470305154,
363.5791764398724,
399.52443763096284,
0.010997293055003965,
398.79954508949834,
36.90979025753751,
382.0074744423561,
231.18743218582728,
390.2500198525558,
399.9999863389436,
0.000012307582397674821,
0.21196464866612974,
399.9999924548978,
0.002562370874081843,
399.99986951389286,
399.9998065316128,
398.5610212479453,
1.1974037076596389,
399.9999856471199,
0.06574787800710524,
2.6720466447781366,
399.9935410806572,
0.003479057236566163,
0.4650708736391618,
1.8558197354073602,
168.5176025087111,
0.000006143416286796821,
399.9999883309678,
347.28392366746033,
326.66477744662006,
396.7062450598539,
399.5481483057922,
4.445183042013312,
2.2274022201225874,
399.84642485270865,
63.80737541892787,
399.88318325316754,
390.81411414396376,
391.36019737638617,
0.00001576360770805252,
0.9631204653757219,
380.00540916470663,
397.4360560974903,
399.9061358381443,
0.036352256548544126,
0.03069099016108634,
30.154564347875557,
399.99954286466937,
4.555408790281268,
399.37083382496417,
0.000005335540009809847,
0.0036909196463597027,
0.0000021485938361820445,
6.347879968063652,
77.34768481161083,
399.999989392106,
399.9998721470934,
1.330545593002408,
399.99997746055806,
2.2203201290638352,
382.6889203644515,
396.7908228209721,
3.068555468804224,
395.77216041757845,
16.601961114550857,
399.3407338590465,
399.9999966872834,
13.94500336895177,
166.15000721491145,
38.45998176113079,
399.72519931922943,
0.00011472352543506759,
399.99967969492565,
399.9999873035784,
12.560620409279188,
387.96421949184514,
0.006284704393788587,
399.94970931443714,
378.29500921770125,
399.99673564376496,
398.6626885616633,
399.3114884488182,
399.73408890165507,
399.993850103238,
399.99001071711746,
8.301883659129006,
399.99999595786215,
4.835884428867199,
378.25581044284127,
399.99991001268194,
399.9880697796622,
399.99832246424154,
0.029086948906220655,
399.59364585326813,
0.00023012220113916015,
6.352675688937071,
0.2911908272232866,
74.88321742731114,
399.9996217287073,
0.000007426511028363336,
0.4710910714004424,
288.10160551338527,
9.461167877400811,
398.0831021073213,
8.950395248342291,
399.99998727972354,
399.99926896809956,
399.89068930136915,
7.325816478842184,
395.5380786137395,
399.33754041182806,
0.05398162098537718,
399.9994234005214,
4.934091086148373,
391.7343373177736,
399.75077648945154,
399.99999668936755,
252.2414915309415,
399.9998812075348,
399.99969738107086,
399.5026085678126,
2.2047446380741187,
0.8993809490256632,
0.00111838727590019,
399.99210257221375,
0.000007919138789169722,
31.162633193429713,
399.4566848837705,
165.64138940140123,
0.9787088390375009,
0.00004559188546693349,
393.82726757888486,
364.4951866707045,
22.78627239552884,
399.14095646445037,
393.6298091330341,
244.6982302392974,
399.9999977542682,
3.8149610107561127,
379.27414084433815,
2.134893753212519,
385.9183834275398,
399.66796002892136,
0.9944262106249546,
26.360674957234377,
9.31799559978388,
182.28922508836166,
63.91274627672967,
16.60258237114187,
1.5419356449689392,
399.82436391355344,
4.657823167693831,
399.99999242345865,
387.29940541907035,
376.7220207700258,
20.347754542952458,
370.8769199186905,
21.79584047701828,
334.7075511245104,
0.0044076636330103725,
399.9999634610775,
399.6586640987025,
35.92158916164638,
0.0010893681002599465,
399.9777135879427,
0.2556140339680102,
0.0038805161951316336,
396.88841455550187,
0.08659243919457715,
240.32828439674293,
397.02834024127134,
399.7991754191156,
0.8014236372852812,
399.99952477517206,
394.62544859639684,
0.01102347034998008,
59.851416598773625,
386.0560246233893,
0.02644253526935536,
399.99987443489954,
399.9934001363025,
392.6074382176386,
399.6224394385142,
392.26942468770886,
398.548212849468,
399.99774020971313,
398.76292117938476,
396.9362074153006,
372.36663315996157,
399.99265417634894,
397.7363880858837,
263.7867087590907,
0.06170594517687089,
377.90622862655215,
396.2832340627905,
399.9999961077797,
27.640643808669264,
3.6293323621322093,
399.9999939244411,
0.02759282967887966,
399.99968621170063,
382.4900914715221,
399.6307437684109,
344.35330456656624,
0.588720971108736,
3.2931767496253483,
10.958980215975744,
359.48850483817534,
0.0032198938124006204,
0.00012190726081939829,
397.3250224073069,
0.18386378064809694,
399.99999260657626,
60.710662094867374,
353.92046890791386,
0.000011652733844513818,
4.842663266617309,
399.9952319503721,
13.66416053460564,
5.307987761942434,
0.0645868554204787,
399.96738105769737,
0.000024061213821369165,
399.9999973105462,
0.0031222673096742426,
0.00006208620786374297,
35.40624472974514,
399.2787136426509,
391.10858998645244,
134.43251079750974,
253.543714956776,
177.56174788354036,
0.00021137859604891673,
0.001782144758255555,
382.2802056465785,
398.38677498032627,
0.009614901237964268,
382.7094925669896,
398.5210197798341,
4.002002391511006,
398.8263432592599,
376.62346837863214,
12.068884903248623,
0.014064012659886771,
0.20152808213702578,
399.9999929869165,
0.033207852302119534,
360.8688115473675,
283.3857478041619,
397.10749943340875,
399.9952356300833,
0.002569960890741463,
399.9999921284829,
0.11604340630231302,
399.9866084270745,
0.02969417118601214,
154.76358749521356,
399.9993061791704,
396.18676736733744,
399.10739440769913,
399.9991669652902,
385.57709232490066,
42.229606647287895,
0.28285086730261977,
2.5275860127964567,
0.2691127495947354,
16.76898832495528,
32.35960833399511,
244.45173294963257,
3.037970076928942,
0.12238159881510224,
49.586057127556195,
45.01670942798335,
399.999659292156,
399.79165434355434,
2.1508472144169177,
0.4371507021766474,
1.9765703493223707,
0.5915588110257497,
399.9975568889739,
399.9873171184153,
0.11794903325161865,
0.0003045056072847885,
399.0226845051574,
164.29884770421833,
399.15726770559263,
399.98658403561996,
382.9103925052302,
387.7651687616341,
86.05555794905997,
387.57934885797994,
396.9321560550845,
10.158991950775675,
399.9718461826846,
10.95229219146503,
3.214277436916091,
399.9974566106932,
272.8265429518677,
386.2799911075516,
0.3034686759858518,
399.995564757711,
275.78084538367375,
397.4728898358617,
5.701469532942771,
0.02645006234684999,
394.4927208394802,
399.0731223164274,
0.3162301708138804,
28.93919622349199,
399.987696081336,
0.057282934159297305,
399.5836341319581,
0.2721706926334777,
0.16430098325190823,
0.007757277154096798,
20.078671680490046,
0.12106162331291248,
1.7049674739312293,
399.99813632828386,
209.43522017977952,
398.23736909217536,
34.77525101727974,
0.00011480972779143173,
399.8777907759463,
399.5123538871381,
0.2043051662023787,
399.72842125397233,
399.9999977566892,
0.000026192235558220034,
151.32741898779798,
399.9999873614223,
0.0000021763091995197215,
76.1634498852934,
0.0006906176563958866,
398.9385535613061,
0.5455532649442985,
39.85105705036573,
0.6568139891337976,
379.5071442395747,
399.8512957529427,
398.32506970226757,
16.898360458147256,
0.0005397489195591021,
253.17016915816203,
0.002015531678489779,
82.70009816929154,
398.29760965420155,
0.000002153633182899739,
399.99041938642966,
3.144375812298783,
399.99999640539033,
0.014151014026797526,
0.0000025869700381875305,
0.7031448589082334,
2.442752965641448,
70.42608245842676,
399.99996922586695,
399.9979818437555,
160.33637624692417,
399.97978583099905,
399.86652048902715,
1.8884095024220837,
399.9979258408652,
0.02438748475865893,
399.9999809664404,
398.25322210581663,
0.5480742393107807,
22.4082178938912,
9.3298175528012,
399.86822973792516,
399.99768789310394,
39.50821967104172,
399.9999786491434,
0.06731768020376006,
8.914688908460322,
392.6784801500431,
399.96693741675057,
150.89216864648267,
6.731061692591811,
399.99999343849896,
24.763154005848452,
0.0005943358926785436,
0.000006613522796072857,
399.6816064616168,
399.99991818504816,
396.40217419534633,
0.018369355115765984,
29.425229183842383,
399.79958358146826,
399.4671581606835,
399.9978629540159,
14.961545118456176,
29.70777594304359,
0.01174113272914834,
0.6040734263754288,
10.002486564612557,
4.548807781795583,
0.0032843099093016193,
0.18627091022898057,
0.0004968025957508004,
3.068577879260914,
399.99961491452865,
381.10806634870886,
399.9994137824348,
393.6091594840315,
399.9999459968946,
377.6454843095809,
4.0751731591990525,
28.240472520400097,
399.73443623806565,
246.86982750316622,
399.9072126081992,
0.000008919685878794326,
4.124477680137173,
9.132522697341528,
0.00006132884804443961,
399.72353720056174,
399.99999770050937,
3.6294350147179744,
399.9999894416083,
0.00020353929217620248,
0.004971661189379084,
15.49949715412,
357.78419738316137,
0.01383787084896504,
399.99999668812956,
121.03254751808781,
26.071847336791954,
399.9999901810062,
18.43352871619168,
0.022298390557740078,
0.7685698635176319,
393.83157731259877,
38.822285561103406,
0.33685087962160853,
0.4802669897138623,
399.9999890913525,
399.9995402720844,
390.404704297865,
0.4298338934855428,
64.49038849040905,
307.5100696053681,
399.99997862092044,
399.7308826320145,
239.70711195510316,
395.97959214250176,
399.9440764757555,
396.92375954855487,
399.99988119294807,
0.2658777687039704,
0.01063309242346211,
0.0021949834945855784,
2.493962035703201,
0.000002215384631298889,
118.47771449364902,
0.0010702864136513668,
399.984159821874,
390.9616904939452,
397.54231355101643,
0.06243144280633217,
221.36339610594527,
399.99522597884953,
0.2033303731477698,
0.0012603389642151797,
173.34005571827996,
4.141937515294147,
0.000006066080660005468,
399.9999930834092,
3.0652780227402587,
392.05773905240164,
381.728954357925,
399.49769658433434,
0.9196338808521665,
399.9644202049628,
0.0017774837351325345,
399.98787370230724,
391.8653023840545,
399.6545193576241,
4.185921588107555,
45.66193197695634,
174.48670036754072,
0.292233904459982,
398.566459198536,
0.00000740853718372847,
0.0001428243886936187,
0.0026969462142645284,
399.99977781433415,
399.99997935318055,
0.00013452396585567072,
399.9959036164908,
0.000017616200786996217,
399.48335782661366,
0.4350131319829753,
0.0016969937907118648,
391.36617387301163,
2.403494244889104,
383.8631514539039,
0.000006800933727291181,
58.32490192280966,
270.1862737824415,
0.002686678800811748,
0.14630204719332518,
361.80110250972206,
393.4577578792242,
399.9999922176257,
245.2391736961127,
0.33026978062953294,
195.26357070890398,
390.2753801397274,
1.180067190370515,
0.000005629596078193799,
399.99953737807687,
25.652230507642336,
399.9980293825195,
0.00014149632059368145,
14.207902917581471,
399.87997980307176,
399.94922782926346,
2.08769397156654,
46.685948619194306,
0.006412167151492731,
190.04564288280707,
15.33255832504321,
399.79231131927907,
0.41965385577267256,
18.752278635613905,
397.5151574575978,
0.6285072366057021,
392.3177847724555,
381.93004388268577,
397.8979096239724,
0.27269073029321245,
399.99999304809114,
282.1438008800682,
5.254947581082359,
399.9994057035554,
0.0000034170580365255887,
21.278275488070975,
395.25148111077965,
3.0999461850333088,
399.7458637883802,
271.7971245199599,
345.41438952836825,
0.05912094019024927,
248.7512991628305,
388.1917121869298,
398.0170898330957,
0.004696061216646896,
375.4637736158339,
387.7089876681634,
1.7137497809952995,
397.5177990872829,
399.9982203738521,
210.43196567924377,
0.49641802980728844,
0.04950610691072388,
0.6893237863236701,
372.1761897603752,
10.788678752239633,
377.3044671673718,
391.3928672853375,
393.7024435678744,
399.99747498836643,
0.09351913802557732,
3.2936450978514387,
45.399521271201195,
399.722343625281,
263.25119468400214,
132.01403906590278,
349.50629477636807,
399.974273201236,
2.637800195471507,
0.0004729939153014229,
399.99890946135463,
399.99979544096414,
18.80881449942322,
0.39545750362754983,
0.4672982645122836,
0.009536050147351816,
390.6464701594875,
399.99613025590867,
0.002392890229696576,
1.913829893464758,
399.9890929903461,
0.00007421143446428857,
48.30234692747209,
380.23481623007154,
0.2561291554456835,
399.998640962841,
388.95790230085646,
0.004163847227744988,
399.99888903467166,
329.5216644480103,
384.69426439222525,
1.418735107722946,
9.824869937186875,
0.04858909996170446,
397.0649260712978,
399.8246734901852,
0.009048489193719256,
0.0010483941079941772,
17.829476064864423,
399.8333096732739,
0.0024993587125710093,
399.9999973303841,
0.6514848326981681,
45.52258385296919,
399.569097650622,
0.000006155997089862808,
320.8513148589904,
264.5072693895416,
398.33741805829004,
0.09850623714404705,
0.38756975105276315,
380.7242703351881,
399.99999360058166,
1.7915387563415042,
395.5760555508072,
0.037272040454094935,
399.9999936507062,
399.9999940934833,
0.0000060636874632535864,
0.00020389925221575567,
341.8636103696163,
397.86462193722423,
398.322339417255,
20.87412968193054,
0.14495264839144983,
230.0814983266505,
0.3277057340732803,
398.48536609046323,
0.25870752206729186,
1.2031588175541286,
390.35505245354403,
0.00024218954022270367,
380.6170352022772,
31.59996956612492,
0.000009497765640631428,
224.62009466039677,
0.45639142672768696,
399.96615921443123,
11.51405023327774,
0.000008462741751813496,
399.9998022766483,
399.5154065867701,
71.79620464296177,
399.179978208095,
399.99999322243053,
0.43420690808468887,
66.09044971344102,
22.408217298984635,
28.97415233598062,
378.24488881192497,
9.600859111023553,
246.0627394479976,
375.55293169221744,
399.86224059409636,
360.29104620263075,
399.9897927068692,
114.63347360873475,
153.8868877615046,
0.000002709469293371569,
0.0020085494020438688,
397.9661705351408,
0.009526772473056333,
399.90320770299957,
349.9321555371144,
0.00005546734112016338,
0.6419128718134992,
21.709809999137786,
399.9999977163726,
387.2113662714054,
2.171221358140385,
399.921852115801,
399.18580351876886,
2.2040359031530787,
9.200356270141441,
10.15420621621419,
0.00008856430919745861,
2.1524733475825952,
398.86698766889555,
1.828812478988473,
399.4366597360414,
0.05265823254347879,
182.5342410722997,
399.9958327231421,
0.01937900514374924,
399.72643220228565,
161.2927404160259,
399.9999839449179,
363.2205710137351,
0.0019406753656303621,
0.009638015672686073,
2.5812753802072264,
399.47278191459964,
0.0023397249746315296,
0.016788531835199016,
149.1423943119432,
0.005459293030685153,
0.6992480426482928,
0.00357766919560909,
399.99987844532853,
0.0002502131587034384,
390.5799084052197,
12.074037282490234,
0.0019041921788254257,
7.560686651224313,
0.21720890033811724,
399.504561133714,
397.23297939070636,
362.6973892503974,
399.99999099609573,
392.64507762578,
395.6461675975518,
1.3764680960317133,
399.68955162168555,
0.9268095505509111,
399.65513175881995,
20.66620013179472,
22.22985936484625,
15.379998596795108,
0.03275416770647244,
0.0008646099252995754,
399.99995897952334,
4.506375974857901,
399.9897742852205,
0.00000607551882136903,
399.69717919609377,
0.8076830275121294,
0.05698552907980048,
356.3760858350099,
12.185617359590339,
399.9870360583585,
399.8415553216601,
0.00396646995199923,
396.7218715723795,
19.113848355331477,
44.54234548772587,
399.7349475070312,
0.7229422016208575,
9.186089262359198,
392.7144085562234,
377.58693895337734,
0.0000024602342829638246,
399.999795228794,
8.932197403346297,
0.00046676977190074354,
19.17775090555578,
336.8045766529201,
0.002531529345883854,
376.8803396579115,
192.20362713758442,
57.93043328496472,
0.0003266219208875043,
399.72853891250315,
11.273411006227851,
399.9997289675368,
3.0685083151626547,
399.9978043825073,
19.482859143093133,
50.83000535417304,
78.25882580215686,
0.000009455440852512709,
399.4615146042852,
154.19179058067292,
87.7312806165206,
0.000002148683120317685,
389.9721399324364,
15.647516502226399,
43.60062922995589,
12.380398481290712,
0.2831519551816264,
390.35628336330666,
388.0478299439804,
0.12114718289180093,
395.4521273084953,
211.3089864625908,
379.9514849185278,
393.1474597604803,
0.0034131233006773343,
382.24669755262113,
398.75212558847227,
397.65050575852064,
0.0018927151994141411,
45.275087028550296,
0.01448743707603839,
0.0030811392870644383,
127.2459852795576,
396.7309113318447,
398.2682037871209,
399.9999938313823,
365.20849215003966,
0.000048307072697539866,
155.7357669174653,
399.07092979343224,
13.457395297168073,
0.0005336315945347891,
8.940321261330197,
7.704910431503653,
0.0003318240523464411,
2.8017448882565965,
232.4379131060805,
399.99978199458087,
231.75974118258128,
392.8097321078153,
102.45971962757832,
399.9998852364647,
399.996472630876,
399.34565954978814,
398.8415324407983,
399.71263297120674,
0.42582558072814525,
0.33344979188223434,
399.99999353749627,
399.1069379485664,
224.68575852958998,
393.2504890581554,
228.55945736626876,
27.70130202416674,
2.1828856819491316,
2.6157696288176657,
159.017724062988,
398.3865436178719,
4.665442155088928,
392.12327379902126,
91.34107483304183,
9.349470634511547,
380.9610511891579,
399.9967763372445,
0.3767593828601479,
399.93178306297364,
399.95737063306757,
2.4776178068429466,
399.99491628750417,
0.00007733176192736835,
44.934151002723134,
399.9974509975471,
0.0001849950534316136,
0.0000061003297302519854,
0.018233341373830037,
399.3527987027041,
399.9999848662515,
34.15359744141509,
361.27071771085235,
399.9999930592813,
399.94737844817695,
3.05060969803721,
3.8775096622419847,
6.230563704151293,
0.054768793119386316,
399.99682993580177,
399.7204439914326,
362.0594732019861,
0.22894331322029782,
399.9999107858569,
13.737584472001195,
256.45236040853365,
399.9997967074615,
388.61465398940265,
399.99999770900655,
399.6935437457086,
8.895668076376051,
399.9996994406203,
379.2494955355635,
159.0723077481977,
396.51564548599436,
0.0013991704165050578,
392.4576927980911,
0.0005683901617592468,
0.00012025388391734282,
396.19913207122875,
399.99831788283575,
0.38470570612114674,
395.0305031900461,
354.2192728486552,
2.909365048581658,
0.0005194817607190316,
0.000032046545728192655,
390.18052581478645,
399.9999937773521,
399.9969501056646,
395.92450008303234,
0.32420524685645713,
0.0000073501807085207815,
0.028867808409471785,
149.48394101727408,
399.4362271427311,
0.0000022462266047185153,
0.000006464695556651634,
398.87953753671684,
0.0019430028124212129,
10.518340164448725,
0.10014585246806984,
0.0004669970325332784,
367.8868432361741,
9.220488519013358,
399.71463676754837,
399.9135962964879,
1.8319539540674556,
399.93095771257225,
0.0010414826153493095,
0.9501324402044986,
399.9999919619531,
399.9589867495456,
398.86374697818263,
0.0054900845742000826,
399.99996292668345,
0.0029749021827507605,
0.033541281914883925,
399.9847958904858,
399.9899833835176,
392.3653110876346,
3.908454371543635,
0.00000459657767404309,
340.87402119675374,
3.2412803619277453,
0.013514934438085824,
399.9908537383387,
395.0266954220112,
0.7057260178525038,
399.99731855205346,
0.03298648274860927,
359.311804831163,
0.6497047901725672,
0.1778916853964363,
397.91574089487534,
152.73257347708463,
399.93402300746874,
0.5714220723656904,
399.8917397662016,
399.69835239136586,
399.99917310703654,
2.5440526930933904,
198.01357255053725,
399.99533417102555,
18.92223341989938,
399.5942954464266,
45.14717979434288,
0.001027610258774736,
399.9784359153436,
0.2649891455891007,
399.99957949485673,
398.7318753226353,
0.0027790404356853315,
399.99991748969273,
39.36001872981867,
399.9905332606408,
0.000009128964451043942,
360.4493075630825,
399.9655374609363,
399.9712700503518,
399.9958955404372,
399.99999772988286,
2.5036700946695856,
399.92857463863027,
399.6491308849484,
5.036917248629469,
399.57833576852704,
1.7068520131962694,
399.9999770726159,
395.266475338631,
0.002931146394447026,
399.99687562904404,
0.002057615282335945,
275.4093205562563,
1.6272648356686403,
399.99999531646716,
349.5298841297046,
13.977251582102346,
399.72152359638466,
0.000006004344266230532,
394.72145263696154,
36.27061554389732,
22.41480314480566,
0.0003010869373376579,
35.41016982164309,
399.9999956274046,
12.551025981270625,
0.000006109454053770946,
399.99111187819676,
399.73312376556737,
130.84480483229655,
0.00007852303880451217,
0.28906680650078176,
0.007720301896618764,
50.649168593540935,
192.5782723056407,
60.7944248062462,
190.54740782566785,
0.09884506014985472,
133.16739225490306,
0.2687750042273729,
398.73943063839477,
0.0046237561191375676,
0.03979420633439812,
0.0001480798285991014,
8.975123194201595,
14.616331634104496,
0.007933829328088393,
399.9947209868547,
19.77688608628856,
399.20395780669145,
0.6709777130182504,
397.9946724861023,
4.769722483118022,
395.9115910489637,
0.009391627209742737,
399.9999713234754,
233.40346018590844,
1.3059143680432372,
0.0018598655296742095,
0.6424323552691513,
349.7543324759539,
399.9987055282846,
185.26288429296298,
385.53914075780045,
1.2373230845977634,
396.37749045953444,
304.8227574442148,
155.99976826845622,
350.4277453789298,
269.84173765717685,
4.277283908013363,
399.9977964396321,
354.39284341975,
395.2143463419354,
0.6663671979753483,
399.83974146717605,
392.1100730969325,
0.0000025189208940901153,
0.0021166030734320884,
0.025403772605581132,
22.06549430600042,
399.9149775412429,
398.98367169138294,
399.99670695888415,
398.18941392195944,
378.45778332316496,
225.02609539081152,
399.721938967276,
387.386141682355,
397.9336001045528,
172.61321347673325,
199.35149348551178,
0.0005013489565497409,
65.38178947574322,
399.9998672921145,
399.7970332172853,
399.9995898818413,
363.8055062418219,
46.498977998776404,
293.44960466715094,
20.344912797547266,
0.0000040767856424039906,
399.9999903723336,
399.1295846589542,
399.9998799383214,
399.12267884729084,
0.4691016991458907,
399.9999939809538,
249.56067676512578,
86.15210896070909,
390.98272574069046,
208.25225703972748,
0.00013894209824893977,
399.9999132832919,
2.675199112860893,
399.9999401644624,
399.51365431301866,
399.9442099539843,
16.46404513880373,
0.4132834916619643,
399.558800178445,
2.072304655787849,
0.2881577076806918,
0.007308315142928734,
0.0007012524093408246,
7.608177478692957,
249.57553239579516,
399.9980614952519,
382.2625703160411,
35.65292222512186,
305.5365063945594,
0.009394017196151516,
399.1459902589521,
0.00013920470105510674,
0.3858216922993485,
0.011561285218597561,
0.000002189435566180009,
399.9999971050458,
385.17168286970065,
0.02550779369758782,
0.000016568252414472795,
399.7327840976049,
399.9906521917672,
395.8762610372234,
177.9767638520545,
0.08142278412310855,
399.99933314822664,
4.8020528479678415,
0.269724574589314,
397.1796705619819,
399.99165672259915,
396.1575932050451,
0.00007553235989998797,
399.9999976573283,
0.7945573435957032,
0.00012045446180497521,
397.7158532070604,
0.0003191540366653811,
399.9997080742653,
399.9783386738312,
0.2225111945174163,
0.818317846811456,
399.99993520418997,
0.9452533239122873,
0.000008174987775610987,
0.005552470788838804,
397.9808439948878,
399.9959498539699,
396.31448361932894,
399.09319797182343,
399.9997407288462,
37.45670952860194,
399.066714599865,
2.6264478204227393,
396.76422291576284,
399.999889048329,
65.28545974035976,
391.03963259895175,
362.10732917068265,
0.0030452806202507787,
125.71031025592427,
399.9997981346079,
398.7721999515601,
3.1048131572767534,
398.2617974078647,
4.060394048267879,
185.44075891891828,
167.98395589284002,
74.42752407598181,
259.98408867666274,
399.99463836794456,
389.26713229186936,
1.2593604136572623,
399.97202568083895,
0.35081624364941,
399.9981058868772,
399.3352397789113,
398.0059887959486,
399.99761109404216,
263.62660473663345,
399.2385883895717,
399.98944126414614,
386.91472327663064,
399.99993523335206,
12.081524837943114,
0.0003133921427034281,
399.9992814454443,
184.70561707470588,
91.50452114816308,
1.6224788252944045,
395.7777207354014,
399.9999946162448,
82.26265261788205,
363.46602625411776,
3.908009721363115,
340.44237264725047,
3.398028278218024,
0.015945202683598225,
399.99998910380674,
0.000037814317144224674,
6.917550596375044,
20.30686142529059,
399.99999198347007,
399.5763064059557,
399.55978860070815,
3.246484086145185,
49.552882360538945,
3.1146063993284123,
0.5514250185634229,
399.97324655816294,
391.8665496025863,
399.9989062456682,
19.91909262378526,
0.09634180238542456,
0.00011633736025640218,
19.419639387568232,
6.481306214548277,
399.99702497902314,
0.000012717949049445565,
399.99455567087267,
33.56365861756239,
399.71471275686275,
0.00018046798655468876,
399.99988656883374,
398.19031283401546,
384.75128710048034,
83.56076454717922,
349.4967185516033,
0.002636411274781203,
8.007421450465536,
399.5920349680222,
7.798009867204114,
399.9992477401907,
0.047626892121277464,
353.9552253594479,
10.522514755647094,
10.600172497676708,
0.00046287161539204646,
0.10179727190671173,
39.556997625083426,
399.95195633419735,
0.0006498278619648801,
215.5686525124945,
399.9999911945909,
0.0023204480438243635,
1.663382818887782,
399.0462144022142,
0.8878475640235584,
399.9962509231933,
0.0000063282038498257975,
399.99922388841713,
0.024120037322750143,
0.000017659350715071298,
0.02071282697879706,
398.99490560522804,
0.9115008855551165,
309.64537051316745,
240.40851581687193,
0.32884299836897224,
399.9961861524006,
398.93959218927665,
0.000017749768455033177,
1.6857197286656245,
0.00011505976775794124,
195.11474215493942,
259.11334471647774,
399.97592114585245,
2.0455751650686693,
291.4085070452667,
0.004027600777600782,
0.007626806797311758,
117.32849339568163,
399.99961433698587,
0.7576859337544928,
2.4513422829344877,
399.97976219917734,
0.00036316220723975334,
4.293074928641838,
86.96518787638068,
0.00011499049459295918,
0.006431998946299089,
399.99998244855635,
399.2471961689346,
0.006437206793385997,
399.99997221021414,
0.00016681949692731735,
219.35708852881302,
398.4233167529263,
1.0624675427020502,
399.99778231289326,
388.1281323483233,
17.886557058865105,
0.0002179469632546116,
389.4296056578879,
399.9999706134345,
399.6297185390496,
361.1776861758686,
399.6152863500381,
399.98202740857903,
0.05654764187548178,
8.011423581003285,
359.09543362378946,
396.8968227445341,
215.7258619151298,
396.0084823512208,
376.00638355365044,
399.99812692965315,
0.00012567769733795586,
399.92783520682,
0.00010250005451073463,
0.0018701048287717015,
353.94529408283114,
399.73502067000356,
115.37917632103638,
399.9999815591933,
0.4171384255244215,
0.0011468210170395565,
35.50644570888686,
398.0955130543456,
145.17019485960057,
399.94642253271513,
353.8550494437045,
0.00012591835947262098,
399.998886273567,
292.4545944427523,
391.8206590703318,
1.7313217679186366,
399.9999974957878,
0.03549942576739351,
399.13373499504326,
0.000004473302972485271,
395.19867917158405,
399.99999372206213,
396.551565973125,
142.2004064480472,
399.9991487647599,
0.3279200175964059,
1.5127080177022467,
395.47276729603567,
399.7270680964835,
399.3269308718976,
3.7886436558658643,
397.3520079753005,
0.030287424765118587,
395.2993381686963,
21.353717785459892,
0.000006588826839681872,
395.25472763539733,
390.9664607885967,
0.17353747654704765,
398.5504387190507,
399.8750102664003,
3.6964072997718977,
4.536271991299934,
397.81710923933787,
158.28544240347088,
399.9593732743556,
3.2869722799257595,
397.65607589373883,
0.000006416872744274826,
399.99997625589924,
0.000002607378868368926,
0.8797934924515971,
399.99945080418564,
0.14163100357584835,
380.96876548738516,
28.05746566283409,
399.9997510520559,
0.3607872130838352,
0.3330427206501785,
399.09670841822515,
0.00017798549105663142,
397.98312289231956,
0.0006419294408033238,
398.88437254027826,
17.982760918007813,
0.0001134064858243633,
0.11085326720430277,
0.00011999382747429621,
1.1044466727616165,
0.10275713734790859,
67.86713828554693,
399.94350713156734,
15.700252994437204,
0.004598426030422154,
399.9980750752586,
2.7253485630120977,
399.99998875146474,
399.9999934212777,
378.25675486620804,
388.56240932199336,
399.97992933883575,
0.011875338243294564,
399.95416897379374,
399.99985976628926,
2.7442856201648658,
0.9181939112536286,
399.9983752708242,
141.71265251459496,
1.6322704996064807,
399.7349924301697,
0.2674790311047781,
96.92354567259413,
399.9970943873103,
0.0024472624435611934,
0.013001894190090013,
375.18191815737856,
24.96873507772923,
1.2371324542891138,
396.7205633230763,
399.994185043076,
154.92418236190068,
399.9795564020925,
399.25623556995254,
155.29464477021108,
399.9990456519295,
399.99999320651136,
399.9999976034114,
1.3893399307664422,
350.9134443050043,
0.000052611631251586743,
7.8618104283642465,
399.9999855709327,
357.85523528328207,
0.7549293346143848,
2.6767809388009933,
0.8970437827793498,
32.4075489435983,
399.5749539760509,
399.99999704324136,
43.25775073920961,
399.9999932632445,
0.5175781638829813,
7.638945069865133,
399.0306929824947,
399.9990931064436,
0.6130142690954798,
0.41856498131882525,
0.011879493521393947,
0.00005096495441225812,
0.00011395602310670938,
0.0021702982297977513,
0.02946386955680058,
387.6081468187273,
1.160840425587617,
394.19855493429355,
396.74095702583475,
0.015430056152720972,
127.57405314905404,
392.08023137451454,
397.27884318101354,
0.11793448555812436,
393.0720345465378,
19.718833751374177,
1.6359673777309736,
399.9999339550521,
390.75920235925105,
0.00011520009994825386,
398.97779901469914,
337.89311340393976,
8.887486393287558,
399.9998772612543,
396.53985017247567,
399.9980625326638,
364.0946512975911,
399.9930096513888,
0.00013334405652987158,
0.000033951812095089906,
0.000006226612181414737,
22.228810417163515,
0.0000060013719549445455,
323.33468072264515,
18.8328856048517,
2.5352127719046047,
399.99992978431374,
399.7288060039149,
399.2201718566308,
399.99807796071593,
0.0000047455689600184314,
399.2529107690449,
228.20284610188656,
0.0003012274171210194,
399.99257744337234,
0.01151931829399544,
397.94788504786493,
100.47264475103499,
1.4542293502352033,
399.9999848251941,
357.532860477563,
7.920416925181528,
0.0029433867865691354,
391.21185313602024,
392.8638141014531,
397.68174124229165,
399.997797239157,
399.97192011086827,
273.5050996771062,
4.217132901658149,
399.9954590555761,
0.00002621797385859992,
0.26416271388827184,
8.017756979947134,
0.0050528154626139354,
399.9626619518249,
0.0026777618727935604,
399.8101147715385,
399.9224799327597,
0.0021774341973923583,
113.21060705458453,
399.9967474370437,
23.117238486388338,
14.242219047705017,
39.872613279092285,
0.000014055887587183236,
0.4785847419358058,
361.37358497139405,
388.3122393355448,
391.11590651230335,
399.63976606613693,
376.4124802852169,
0.08090399107691937,
86.89068314498,
399.9999301686705,
3.92526462005085,
397.8911392354414,
387.29417724267614,
386.3765443317405,
399.9143609965873,
398.85715318993044,
8.866415581032161,
2.2971369730961255,
0.004240289259693775,
3.06095002715554,
43.743137421569436,
2.5814695837546253,
0.13867275755301556,
399.97258781131563,
0.476008512134074,
217.46381066864348,
0.0024836676563833038,
399.94187496255023,
399.9727913510313,
399.99999365986133,
396.7591416520251,
391.0071356722488,
399.99445860267014,
399.9980850872513,
0.07945534712086033,
0.6187427802060608,
390.9058489168812,
399.99983614592327,
363.8573885650232,
399.9855885862401,
13.193686540833438,
399.4011324619085,
22.015282756695797,
399.67135568046416,
399.1126986387787,
7.798742631586908,
0.7725486948190863,
399.98505567580673,
381.2715748462652,
194.03796937627567,
399.9999930516075,
399.88165001109,
396.0038630114801,
9.914913210509436,
1.6228615197389162,
0.024003083506474177,
399.1905903636882,
0.17888028090569108,
0.9554404437361441,
399.9980980335029,
0.0002090177268154747,
399.9960908361273,
399.997224891988,
399.98872876920615,
396.93813046915534,
354.98549039934716,
0.000002150398614730875,
378.83535987028995,
35.82079646498393,
399.99999731584023,
0.03811080186237881,
387.2019956010558,
23.577722010915323,
399.38307377121936,
0.6034671894092902,
0.0552254222125903,
398.3249442458812,
4.82032506698018,
95.60628722947241,
399.9999976032164,
392.7656165207408,
182.1959702665148,
399.9999978464026,
0.44015569849427116,
0.8752930027071892,
4.939030823456814,
0.00004669545128344055,
399.99958046075216,
2.147644707332197,
399.9967666033035,
279.64819111251506,
389.84753868027263,
399.9992952285909,
0.0002403310596754693,
0.000007944284097227694,
374.29454080469344,
399.9950997170539,
399.9963277253572,
399.9999938373587,
387.00441470854577,
0.00014360767301990762,
359.90267341519467,
0.000006147165620973283,
162.30815526858004,
399.72841158913735,
399.6991675958297,
395.30407207977623,
4.5544524983675005,
0.000015475300418898996,
0.0000033233036322855014,
3.5877463601142523,
0.00001962646452025041,
399.9996612625929,
0.000008954870001076642,
390.6215167506068,
363.69546364559375,
42.96358550223314,
164.00231501230044,
399.997745291989,
364.23421518916734,
1.6259811758356113,
399.99496809287393,
128.86375191978243,
398.8147569541735,
399.84382830463716,
321.4801741597795,
398.63694407499975,
399.73456395378247,
399.94063830674776,
4.762007288904813,
0.010346879962974675,
399.9982773544831,
44.43470666918876,
397.7195085065935,
84.65737160624802,
9.951491466656947,
388.4279858584166,
396.57731093798657,
399.99999334661317,
397.0776300771508,
2.4289503389325784,
399.75044200101337,
399.99983912315395,
398.8048604181171,
398.5183160717222,
20.14890349791738,
16.743514118857284,
0.022436252262725276,
396.7049787506351,
399.99987037859404,
399.9660054888455,
398.9715405195715,
399.997794453641,
2.675747720821331,
45.45262630490547,
395.1967780691875,
396.84247727970705,
399.71295577738675,
399.81165335378074,
399.5665502285906,
0.000007124705003747067,
0.0000024255782715698615,
399.92096115031626,
0.00007949712943489118,
0.028711505719103414,
329.878291966043,
47.566194275152625,
1.2009558753654836,
396.18331308364395,
252.86236594827858,
0.040196013142268505,
0.000012069361110533805,
0.14839451671981863,
52.626938187891284,
377.8461355296042,
0.008594673888073778,
0.0001130896426060346,
399.73501740366453,
0.17544478400493002,
0.0006676509314296197,
0.04108200228256642,
139.774067704124,
399.18737185171943,
399.57599415391917,
9.45268207852501,
0.014318856176664951,
347.34572381287927,
399.9801021448462,
117.32973830762083,
399.9997500578742,
395.999893244339,
399.9971114940754,
399.968220079749,
3.0426973897529352,
9.232580442952809,
356.25963832065264,
0.000011729897098078368,
0.004607603299144891,
399.78497616440836,
257.8498033278758,
399.99975712694135,
0.18676632769958346,
399.2361832750186,
0.0010540455257723735,
0.00013273407091229927,
395.4948970872604,
0.0019712136748673004,
399.99999082893567,
399.99999136916756,
399.9999797946182,
0.000094023198538018,
399.99640183258737,
399.99999393116985,
399.99679209420265,
0.016333847381710953,
163.9801888746591,
10.093198971285865,
195.76441411221387,
392.1819962454597,
396.9437547075954,
399.99948852145724,
0.16135292811885193,
0.000059224800286195034,
399.4180108890819,
398.22986662534055,
399.9997792742893,
366.6588769076655,
381.9986737968048,
0.00020864960796895815,
252.33577997265937,
2.0195644028161652,
399.3448843778064,
399.9063284830993,
0.00003511981934156694,
399.29831000472666,
385.51544219381583,
396.66282468697835,
399.35135927221125,
356.68083929571424,
0.02316857779405268,
350.6456314681776,
399.9979039926282,
399.99999240011243,
3.0855504585191484,
399.72921368894146,
0.019633872035229594,
0.0019854078261216657,
8.884676572649553,
18.774271718992487,
399.9992058039658,
380.6521774128342,
399.92396456624095,
0.000008913107363284212,
399.9975445834892,
352.8223757892658,
0.20783137989033307,
399.99999781628156,
3.8897057138909563,
399.9998986776757,
399.9973242863291,
228.15067322310836,
0.8571646173985981,
395.76229766332904,
387.8361582503087,
0.005638818259101619,
0.009787451315146356,
399.99815755045336,
0.0002240952502896576,
7.002411190702884,
399.99488422332416,
385.87504571972806,
395.4616879054917,
385.59473276527007,
0.00007972410096535043,
0.033629277795110823,
399.99998420778564,
4.713083263689555,
399.9111343466752,
399.9999750840821,
141.14817693299685,
21.203453650447756,
1.7552372354946666,
399.4042636118137,
0.000008076056445815993,
1.212610184841778,
399.99998842923867,
399.63061069690485,
398.1621174520059,
0.021395118971834215,
399.99997141659674,
399.995414261865,
399.9995152742801,
391.0899406587161,
124.9491924948723,
2.5331981076448518,
399.99801322676933,
0.000012907968893749455,
177.4180839736629,
221.47590167946137,
0.01746079519873156,
0.004803428609667648,
353.8133215472211,
268.3628250631439,
0.9474116086888751,
399.9997706020337,
399.9999978047538,
0.000002378792318680212,
389.08230634003473,
0.006851719298284209,
328.51529666789344,
399.3436885741089,
3.972943386854344,
399.4378477115584,
399.9999880198462,
396.58575935704835,
234.36363778449004,
127.20091983668699,
399.92347864433543,
396.03577292510056,
384.66475390228845,
0.007782073208351115,
378.11632673863414,
399.9999814582466,
219.56759823780257,
4.892384496931634,
10.231383450726227,
399.6927963411693,
393.9620078175802,
0.9828022847702567,
395.3788211187895,
399.99227246476875,
355.9493543609598,
2.4407162602757104,
399.999993902549,
155.24321688608924,
218.78321871213643,
0.1348196275147151,
344.6691055139917,
151.49084374513956,
0.000415862882618967,
399.79215559097463,
0.39180822767637125,
137.70412506820392,
390.3441344270691,
161.11229391366192,
0.1740877976223798,
399.5050115229878,
0.000007151734227051065,
145.4842490528041,
0.000006834379173703553,
0.27368066845752104,
2.1513443608509153,
238.93196750116329,
381.08000051422925,
0.13717069031462525,
0.23641148972926018,
253.08316487284907,
399.3684856947842,
176.07285874058408,
399.98838154908685,
6.963090308943243,
0.26702970826217864,
394.6602377886922,
7.889504988738394,
399.95678217728073,
0.33320789771933423,
395.27517801708944,
399.56370545423744,
0.0023585105468182377,
355.0100841062137,
395.84605193452325,
0.004855703845518811,
399.99354058522306,
4.623821247343307,
0.0000034964259043590573,
387.9474182578043,
388.476188375468,
399.9788013582715,
392.00277899367694,
0.0001410192051576331,
399.473651972136,
399.9968752651829,
0.0014262933268227584,
49.31153599733173,
399.93214521759137,
168.31967788812636,
0.024808986041224834,
399.9895914904573,
0.002336370724309589,
399.9999898593884,
84.39653781919452,
0.023031658600580762,
399.5590039729392,
0.0003740883848690757,
0.6040803772547898,
394.5138787779483,
0.8110430057245654,
369.24374576147954,
399.9759931347247,
356.89006917455026,
5.96215198145138,
399.7325602108175,
301.4965034172412,
399.9998411407325,
399.56241107297546,
335.08732950547505,
399.99971150824985,
82.79435951615764,
7.492291090300185,
399.99774140553177,
50.62998500075435,
399.1137217383716,
399.9314135879909,
399.9227779045544,
399.9999902109255,
395.70125649162395,
33.36051956972328,
399.43073023873166,
5.866861102484711,
143.34438420233542,
0.0000026879942494062448,
399.8398561827988,
399.999817310505,
399.99998992739404,
168.31947533781084,
1.5759327487707697,
396.2089900783417,
399.9474067957659,
0.5844632483474665,
16.94141547208716,
399.1702741804163,
399.7017633016466,
0.0019306896494208914,
0.0023311432288508627,
0.000269306584499418,
0.010232416275846035,
9.463702294245536,
4.227105507576523,
328.6002067849683,
399.99985162743445,
0.0000022397018462072538,
0.2991923708836719,
399.72369872405216,
3.233257821358637,
295.6883758287085,
23.086100535440536,
0.00008162315414672605,
399.9999919450266,
161.30726050353675,
0.00014375852090964258,
0.4216204903087384,
206.79085751419487,
23.154628954966405,
0.1628204238121711,
167.5506786050847,
399.99983435610653,
399.9993858327589,
399.99999305100687,
399.99979704110336,
399.9978186280499,
399.56662429374524,
399.7220529727482,
0.023120360132300455,
399.99671889217814,
399.99952958818506,
1.1461207485905733,
0.000006320948364724188,
399.5000283844152,
399.0668312226549,
399.99268463003153,
178.18399570974907,
53.259138595251265,
399.9406415564371,
399.99852988649695,
0.002558786018069803,
396.73184346649725,
143.33603239131918,
116.24154689006512,
3.2024550699655485,
0.4171410550821708,
396.40983721175996,
50.20421074698624,
50.361869292771466,
0.000008995442613013438,
395.3119121506194,
399.6978831580994,
0.04849060572893471,
397.76799286014403,
1.4213259650513566,
1.3020972995335,
376.40290693768173,
399.5177970675848,
31.11758475072253,
399.99986189171517,
399.94022353734476,
50.63934209114085,
399.99964056545036,
399.73507225361146,
0.0022659573119199194,
7.442256554709581,
0.0003555570704305566,
399.9987135747187,
399.97851036318696,
0.598179533205756,
27.954772667057483,
0.0001171154306200961,
210.82200995568834,
399.7312847000807,
399.9995717363548,
8.527664972923453,
4.822494076143902,
16.524175970444354,
7.667468339397154,
390.6367235093203,
11.55386896886772,
399.99999267027135,
317.1414420176338,
0.0000091661738865767,
356.6073117915443,
399.99996247091286,
0.00014311979246173223,
383.3694020604016,
2.21392583108333,
399.9515762272018,
387.77642554762235,
399.0945293357156,
8.458689919800765,
26.13383022069524,
9.921367038824979,
399.99988354149554,
396.72379059403823,
0.011392545234656382,
186.54772249554335,
173.1869579075186,
389.5440159849681,
81.44242629966689,
384.38378968263373,
0.0018857282838791178,
399.99995601088074,
70.61830221661423,
0.5174936085860393,
399.65998866237055,
399.99998580297813,
399.99891204316,
399.5074385443737,
399.9921047688952,
0.3566020330602715,
11.722216706962652,
1.0952962417765333,
6.259188311319508,
0.47755591687703713,
0.14785921641058408,
381.52777008218635,
399.747010655717,
0.007102017189253296,
399.9985985405349,
399.9999563725724,
399.99996095874917,
0.00020234721096468178,
8.134213338705676,
0.0022377933290185226,
3.0348691766917346,
399.9973895725857,
0.27579673391640025,
399.99999194064816,
399.59701142182007,
397.8170090505132,
0.3511364942121675,
0.006108083716860335,
399.3171152926517,
1.1226948207873066,
243.4190046160663,
0.6504283523606658,
258.86642970210573,
154.8450886331207,
10.655441684987865,
399.4270960883218,
0.002676837105686225,
0.0001494973814297751,
399.99999571636397,
122.47043447881526,
0.000055113847508003744,
126.34675241109721,
399.72304962674605,
390.63944825561816,
399.9999919331093,
392.779918089779,
399.99672720154473,
0.0014263933497682402,
0.384512081984667,
399.93402357404665,
46.41121873577057,
0.35376224377487997,
378.9571578041406,
5.39129150849571,
0.006086742168487369,
0.3515992348796626,
399.9760265866421,
0.0014212221216558518,
399.99040296508895,
399.9999514626809,
0.0007187467198521702,
0.002218937934617138,
399.9320950792187,
399.9997558111071,
148.58804009850547,
399.999981576626,
399.9998062908906,
0.33019973449259776,
0.03132765799853665,
397.66143226599075,
399.99999740464494,
0.00215136965435736,
0.000002153317679720601,
372.7158370532228,
0.0000029196354223159915,
386.60777255736224,
399.9998769265818,
357.4997353248466,
238.4084358111678,
0.054400573111856865,
1.7116147677525673,
399.7687523802441,
399.9998834722895,
399.987466576333,
336.95072739494003,
0.06040777839102507,
377.37357918182516,
390.2212072988304,
0.14083021060313783,
48.74618542961993,
399.99797289422736,
399.9932865912778,
4.008438793156288,
398.1516405855346,
0.2662273791193881,
399.8869597347124,
2.269286160015649,
0.000002876142346508459,
399.99977986500545,
6.754702621720354,
0.0006596887662357886,
399.85117357788613,
398.4398910778963,
219.81172112471694,
0.000010315681930883613,
0.000021505800473775594,
44.189411104902376,
398.48541609030775,
399.9998290495095,
382.24641862191834,
0.00016430043781046066,
0.0000038960281889544035,
399.94262535125637,
399.9999784838909,
0.000047824742099855655,
0.0083452219364899,
399.9595413659109,
1.3110587225196424,
0.0000025331679198714596,
43.27518983164769,
139.14365315143064,
3.2378855836401543,
169.10501405536246,
201.47528149118293,
2.062341282704372,
399.9802442467454,
0.0005778036235026818,
237.14526445923602,
11.36328981563215,
0.023582767759378065,
0.0003750793141854558,
42.31905318323492,
1.5115497380084664,
399.99927675690844,
49.86730332466909,
0.00003329145432662273,
399.99982103630384,
370.7917148530331,
19.090008747543095,
1.4708319270400283,
0.542167572134411,
16.715191429627673,
0.004319601573610221,
43.74377089761923,
40.05173912684554,
76.46247846796963,
293.3584183826814,
391.51968619592986,
399.99701875336655,
399.79216518106216,
0.0014598567355417202,
288.2201569312966,
0.3633198492417167,
0.000008611821167292533,
3.6705917307079616,
399.9999583485061,
399.9335508265029,
1.8337191739030034,
20.86112143160861,
398.39067809712844,
399.99999770764833,
12.14978252680099,
280.8351990583549,
399.9782671594899,
107.43045349311484,
399.9918383320044,
0.796507698279525,
399.9954540301629,
382.3158783955433,
399.9998869347943,
0.000006302024879722978,
357.90779822182276,
387.52860178333987,
0.20833289433055402,
389.25441178417617,
0.6251803717170157,
399.99892693447225,
30.88834869678534,
399.9998067488704,
9.858500069180899,
399.97894052500664,
372.1979814855467,
399.9998820556286,
5.14795433247075,
356.08708573928647,
399.5311769852422,
397.68551631452783,
0.3543281225567574,
399.9617636444599,
1.4377034881151607,
125.54663827202108,
116.84202275431916,
13.738956716636896,
0.0000025620165322592925,
399.99528906801834,
0.005230410490097981,
27.535231137216787,
396.1305501164393,
395.1883406800758,
0.5933519037995882,
0.9143652805885694,
170.46978928749002,
387.14104968318065,
175.92971963789148,
287.15020555797753,
0.000003529768388688126,
399.9773252200907,
357.1031869741573,
399.9999973837297,
0.0006909879288752308,
399.9999934449853,
163.16266246760944,
2.2624357080467616,
0.5465340711638733,
37.94885413751046,
315.17142221220445,
0.18980721611596696,
399.9994206089345,
0.00022913464170493114,
1.0616537576766838,
0.0036422691119142314,
20.64601281397649,
0.00001591757723407028,
13.605572854884084,
399.9999969052275,
399.766661097728,
0.011571409325505932,
0.26739932263468713,
0.05168788260401236,
3.1953128246679396,
0.00046158141522312235,
10.220837436972507,
399.99794554137134,
399.87697691048993,
398.77028057007493,
399.9998721363586,
399.99703517173344,
0.0014317062813962167,
3.5904014966370523,
14.491318601039671,
0.0032113914224085605,
396.1161796525433,
399.83554760494957,
399.9976424163326,
397.2297069547643,
18.645815314005844,
0.000006430604093665693,
0.642815552925069,
381.44546114097136,
399.9966096584161,
1.407213484019909,
399.73352511475883,
396.17836349975136,
390.187636885009,
0.00009111291141561395,
0.00012684310075616878,
0.00021027481516000535,
397.0102359065292,
399.9978069821995,
399.9999977250296,
0.2853050248753597,
50.58634231170134,
251.94471090857186,
16.309871138323608,
0.23534424519200403,
35.00714689827586,
4.728584911318978,
3.9776080638441957,
395.4291096712497,
4.381338419846625,
0.03972466669641683,
0.08869081369713427,
399.36685995567063,
352.23564950213876,
399.9993690411455,
383.4922270090909,
0.002088387862420049,
0.000003823891403520463,
391.0869492790331,
399.99999670944277,
399.99652913198435,
0.000004036518763683716,
399.9912219167323,
24.27430267417168,
29.467723931268708,
26.222760590493333,
270.33857233503994,
3.49931692310117,
0.8268237436192871,
399.99984052667156,
399.6667237474014,
0.00002327430019821719,
3.1270559826649613,
399.349950812719,
396.6781692134194,
0.9102483583529386,
361.3791479777417,
399.79445485860697,
399.3630475327817,
0.3196847344377085,
0.00013677147849833204,
39.78425264956829,
399.908547149004,
0.20535905068117533,
160.50699146391997,
0.0065789117938086505,
0.0010201387109720628,
399.9999939519738,
377.0490727909488,
8.00398625107892,
0.0006214280742877776,
397.0374310157267,
349.32998260988984,
399.9977132435062,
399.06598991411283,
385.87636722508705,
0.5550512528499363,
399.6540225499025,
0.6819428475866696,
153.3374398942479,
0.0043947332935445615,
44.149794717857674,
399.88621178726993,
0.000006194485391297633,
20.257288738119318,
1.1033337003551358,
351.55080134614207,
380.78884037921404,
261.40756298577327,
29.42242468070293,
399.99922911321465,
399.69906087352825,
0.007296038548632033,
370.60685793615306,
294.45479195927464,
0.00008417330539245427,
399.5613876826037,
0.000002288550104978526,
148.6938341371152,
393.05477337764563,
373.8767551007076,
232.14180489217497,
0.02600344643854946,
6.5626772389502985,
358.539529924053,
5.821773607338554,
399.5016286218002,
0.000004714451340426251,
398.8874862809443,
0.32639861382002255,
9.45371777880204,
399.6905860114535,
230.9559304008006,
243.2421878072355,
368.26053633598076,
50.179844479858374,
336.7527948555005,
162.35272591183372,
8.01790357960357,
0.12151083592668588,
311.46066415295775,
291.4883445269467,
399.8218879566128,
394.96167291077785,
161.00032091309077,
52.547678411098595,
0.0000021641159753116312,
0.0022387217857300357,
399.9909481132032,
47.619454111664396,
15.71399604571424,
396.7921264859802,
0.05411922913205469,
0.9175373446839163,
399.94406000278985,
399.4475245281517,
399.9999419022242,
396.4153046703494,
0.03686240773825844,
399.99999612466206,
22.02977173502376,
0.011335773511844671,
399.9936110065463,
0.00047607378346192775,
0.021015551887493267,
399.9999935962702,
0.0032873259023791235,
0.004820579564834837,
1.14809120835071,
399.99409758072073,
399.9999877689937,
43.28922290956889,
175.30431435269173,
399.80723775816614,
2.677891967818291,
0.0011856285039524295,
232.27178853989395,
0.0035495634453486247,
189.57149593907948,
0.09556653342930321,
390.30701267688386,
235.48584575364399,
399.8446497676466,
396.74675314556146,
397.0934730230651,
380.0816438051938,
0.0000021693064233829773,
234.24770165298168,
0.04374126692849867,
2.2607282639624415,
0.00016888262164282963,
2.3732217421351898,
0.005641530624944657,
0.0007238033720602388,
336.66648055059983,
392.04987128938444,
399.991723154347,
0.05483750924049069,
396.3399280005072,
397.617137580104,
399.6175489109761,
0.00024166862033769831,
0.0030117313389421696,
0.011601084370149728,
0.0020870933705952055,
397.2722344640197,
0.00282238867472806,
0.0019435907050890933,
399.99967221614287,
0.09474503745980911,
399.998155192778,
222.99249967318838,
10.914390413040053,
399.99787481134115,
0.000002241725005625028,
0.24975648251583937,
0.8094363968962348,
0.000007001297053221833,
48.49619627008508,
373.075522190089,
41.90876069741456,
0.001973591400661334,
399.99811738269386,
0.3830232144506729,
397.41836115846,
399.6513143842572,
399.9183953959807,
399.9999974188544,
0.039238361013360645,
399.9967964844926,
396.0855701258603,
46.636882587613314,
0.000005395576363476096,
360.03681940705843,
0.00006465910926678475,
5.910530157505667,
182.99188508944704,
399.9998301027443,
357.0071426096561,
183.6637070223215,
0.0007050272925468448,
0.000007604828988760914,
379.879262545937,
0.004708801406705376,
359.6716654125429,
399.84945001836604,
397.56856475797474,
0.1323525753428756,
399.99998410888287,
0.00001769125925754622,
399.9965215444143,
28.744987308773574,
0.0011638324844964743,
399.99768092977786,
5.321399066286725,
399.05421184139095,
0.00023820232550875176,
399.8256403407962,
0.00013052120255707678,
0.013918391742140379,
0.001458257380115846,
399.9981048833299,
20.48556281566112,
22.291031198974707,
397.3364382119269,
50.57271316380363,
399.99999697917684,
328.4205187967027,
399.9887428361186,
1.6824265696166352,
0.38962337270622704,
105.0146706053849,
0.00053912219541985,
399.9998442880043,
0.49528214819720695,
0.5064570398405133,
397.2134429491839,
0.5590990759984704,
0.000012488654488329587,
391.6842590659085,
398.27204757048247,
207.8453058057641,
0.06410078612477665,
0.814508769078226,
0.004644967491973517,
399.99490042899737,
389.87058099736174,
1.4325162798143554,
0.0005167213880330479,
379.8716303845092,
0.024094329895296696,
0.43908377884536165,
392.2927609328978,
397.512573301251,
0.0006736642439664209,
399.3407486784247,
0.0019452693089672124,
1.2178752909289159,
367.36374633114804,
399.58118727602414,
399.977737754961,
163.37882436064265,
376.48673658921894,
399.99388387626254,
0.0019218035659296362,
50.604239820361705,
385.81812662476295,
50.63377179540285,
399.99998459587005,
32.96950313028786,
391.05102447101274,
399.9946651758729,
399.9999974000557,
8.187184989052621,
0.026404497126231163,
399.9997120701676,
7.231582570778672,
21.411811920014422,
1.2173875200415685,
0.0008385746217420831,
0.000038470358543207794,
399.4517815062542,
391.38214602989854,
399.98784386483294,
350.6765127802358,
337.9997054147445,
379.90152163694347,
0.011765073026581696,
0.000015703208644524125,
0.000768033894149589,
399.99714333416057,
0.7041146337792847,
351.938738938786,
399.9969600793106,
0.26667717057966556,
99.70465589799188,
0.2165362069755261,
399.04254382884557,
0.008894600521736074,
168.99978381146244,
249.89393002852646,
398.5273839779963,
399.999993214637,
5.446696241278537,
399.11639045525556,
399.99912781199515,
399.99977756584235,
1.2829766370828555,
0.008301322461279348,
8.319152026075315,
399.69062465494915,
66.88380725268959,
399.9999711546323,
399.9017261553136,
396.61365480776846,
0.00041010670126517823,
104.61491338629823,
399.39990552891487,
10.02344950336429,
7.650036127657556,
282.1461050347494,
0.42450376850882154,
398.41799266868225,
351.60817259404513,
0.00032997439067816714,
0.00011301834852428527,
5.0867622300796,
399.9899984459553,
399.99999385792387,
163.83565907650956,
399.9534966371857,
399.6460435776849,
0.5211729486545691,
12.853908132527803,
241.762874637933,
0.00029295039436494363,
8.064858750674443,
48.31787479005889,
96.97494696256281,
399.995448594834,
399.99999774010917,
0.09787752352299339,
0.835488097150483,
399.91453908569883,
18.84060000379386,
0.000017211866731869918,
399.7148860956256,
12.173114169655207,
377.8685122324803,
399.5194866556226,
399.999786447141,
387.0149527377807,
399.349841632702,
0.0020764679059759317,
14.474407793949107,
399.9994720083868,
399.35596321597706,
23.63950633067182,
399.99994558554255,
32.10404291338449,
0.12251318342990647,
399.998128551303,
0.00002906352574161275,
194.54949489685447,
2.3154317558098825,
393.4548829782659,
0.02135796595292838,
0.001888067905109203,
21.130589737315052,
235.19943930572228,
0.0010676798497977202,
0.000036272803161097045,
399.9742018937299,
185.8700649440519,
399.99996471899817,
211.93965987893026,
74.39448427422512,
0.0000213229047751895,
399.9999199699984,
1.294891022288036,
0.06496023338531387,
395.2249636304953,
0.000008785478988748707,
399.99988648235956,
0.16255851420565737,
0.28233508440758115,
399.93332762645207,
0.012188486583109004,
19.054377419522982,
27.92672253355919,
395.2283201897973,
399.9998834455697,
397.61877474514336,
399.9990790267435,
390.9228158511709,
395.4726483240068,
0.0005797708366506171,
45.224246497414434,
388.58596593476653,
47.29374731739517,
0.6592744417033725,
275.8536883575925,
388.3987282380519,
399.2634816828276,
1.9260987534881036,
399.69494050538765,
0.26611988733185044,
0.002387214911392377,
21.20332162395315,
71.56172471920408,
399.99656508986664,
399.9990061812945,
365.6397356340136,
399.0552576997756,
399.72601706549403,
349.3476127095525,
399.80753897566086,
0.0005973835765837876,
1.5261026416690582,
0.00001947245318323354,
399.9999753332809,
1.6440449931796497,
0.0035009420688458803,
248.80873713749375,
397.4276665114538,
0.0001722694750405651,
0.05976590243286228,
391.17816698776886,
142.17439875147022,
399.3754774088346,
398.5310691801204,
132.73446922581945,
399.8585056695586,
0.000382616319294371,
10.05546226940055,
265.7582717269468,
399.2537979157771,
399.99787940473783,
0.9863761622849632,
0.35374165582553463,
399.99322511124,
0.5143958345318778,
3.628888652982698,
11.074388468875274,
0.02315287810190636,
399.99933863699243,
399.1271531350741,
0.03399840343398797,
396.25285643184236,
0.5084343660591184,
0.014760020609627666,
396.7571588380311,
0.2600296704605931,
252.00637869818942,
399.9984738606814,
392.00048969356203,
0.4206127816579919,
0.00000675028439811598,
349.4775141434128,
6.625407805690142,
0.6941868433151477,
0.013990244448480738,
398.3027187416853,
0.00002506991994000174,
0.013718340802748585,
388.1292892930156,
0.007301784204649664,
17.756590773989387,
0.2676787697495131,
336.82033690208533,
167.52890766925876,
399.97894299225555,
399.99996411634305,
2.326548246801363,
399.9927930304301,
380.0782734379231,
0.11597770455085143,
241.88076641051177,
6.325185100147834,
394.62230279569195,
399.9748478124044,
50.67101656980473,
399.99951217538205,
0.07655847295369167,
0.0006088056596631475,
0.000012812158889374814,
399.1994770395616,
399.99964970324385,
397.85441183938934,
11.976859945183339,
3.1844065692153922,
0.13709745933359052,
385.27753679062437,
397.73293937278044,
111.53809349089347,
2.3764484165420097,
4.838989024200169,
0.008052434217420412,
0.21516273288961774,
0.02577571679511781,
0.001956609369790918,
9.994024628009136,
399.9962184260877,
399.9998124298778,
350.01260746860976,
1.2687622547399968,
350.2911239703604,
47.17218736313633,
130.46161056337095,
399.9998879955677,
21.77030227812422,
240.4858736179419,
399.75823635624545,
4.6835831824527885,
0.18220106178217232,
399.73201148517256,
66.07243803418181,
3.5828358997565646,
0.031483389697117836,
396.88871629549436,
12.898056659767509,
398.64966859657534,
0.0007849965153239324,
399.9967443473623,
398.58861730585966,
0.000002889048755783108,
0.01436796320675171,
4.675815959069607,
0.11084373494152366,
399.9999807100978,
399.99923491492694,
90.79832674098067,
107.92498372932464,
399.99935366819716,
0.00022373310593071238,
19.192842580186653,
399.7203570047666,
396.58472473069224,
0.6679545033097201,
399.9661331291139,
0.0000028832246590226873,
399.959503875183,
398.8227444379899,
9.427835545394458,
399.9990542462291,
2.858975794468921,
0.000002234796703248776,
399.58822697708786,
0.03771688927620698,
399.8448644734423,
6.095044956434159,
0.003613527160606367,
0.004084265369197482,
34.72317481596618,
399.9333124556014,
0.00012072848456501362,
0.00001121701802553332,
399.9999918734801,
340.746674742973,
399.37744701894076,
1.9505139981068176,
0.00037380654291929716,
4.337100477980438,
0.000007001684831919874,
399.99822956253064,
0.05177619300060776,
0.00041749619910103064,
399.78125899072535,
0.0025247807438288916,
298.37860586605325,
0.02385237791731054,
247.07876743576898,
399.3899442180007,
0.24485416907216173,
399.9795401253461,
362.1086642268591,
1.2355347382354775,
0.5290370839178715,
0.645746229232258,
343.8479487017304,
2.242152755443816,
0.000012436026786133425,
0.00010066610491854533,
1.101429453988012,
395.4097486294946,
399.71219122759186,
164.07587766385774,
0.00007914654387430886,
12.952439467723575,
394.10645584472627,
377.76628756576906,
399.9999952355182,
399.9999879460352,
382.4792813563464,
0.6779881914323216,
3.1239514876314933,
399.89787343894585,
379.8304156669162,
50.62601992955078,
0.004065616627779711,
1.7592071424488598,
2.5777386185086737,
399.99800814724153,
399.957597637033,
0.0027650774702125958,
2.2038581280792613,
399.99985094869584,
13.58010797990934,
142.06069827218383,
399.9996906370276,
0.03503026513553831,
399.09999575453134,
399.9999978480932,
0.030241414255094412,
365.6808978482569,
0.23154361673281,
0.3198360713936088,
0.11839841993273037,
11.00661715917537,
399.26934862122926,
377.6361110006098,
0.00020006991392484963,
0.0017039420350473122,
366.9907478110534,
399.8875583148447,
399.98945630359333,
0.07374249619931383,
392.46572629646124,
399.67439008323134,
0.00011111786568651638,
0.00009752857641487367,
35.39641522667749,
170.47921433351348,
399.3291957616228,
399.4302049616509,
33.45910762265969,
353.29414459898555,
399.99931950290915,
0.0026086720421369947,
177.25297188395456,
383.5446156613184,
1.3757424117509132,
1.940127406920844,
2.343651781563283,
399.9469231957352,
399.99998270201235,
394.5912703156201,
399.7018012189418,
399.26742504573474,
350.0056477914826,
397.06059695854805,
0.006112115642475935,
0.0007448982057400855,
399.999986051544,
0.2394242566895466,
399.99985841489985,
399.99999346261876,
1.4490788673917177,
0.000005108615486193457,
399.92638590008545,
333.54358031635485,
399.9995819815139,
399.99999331219544,
4.70536324158628,
0.00000486339426508664,
0.00012794372075131122,
399.99947630907934,
399.9995220075756,
398.28908593114943,
356.2609403579872,
397.3009913784789,
0.29072940661774016,
39.16239991313777,
0.143949817946587,
0.5170648522873966,
0.00024588298583871904,
0.00037198307032415556,
377.7937213459777,
387.16821699354483,
398.37234688100034,
399.96512676190605,
399.9980862211669,
16.10420780052191,
390.9955007080981,
399.9977310455045,
238.45434950204324,
399.9951358589814,
392.30707796817484,
399.9999929812795,
399.99999177339413,
399.99999230500356,
399.9229463287088,
397.5173603479874,
0.000002240415186705036,
399.9911510302499,
399.99999298116535,
2.1606790053147362,
392.0119820534504,
4.602750756514484,
107.91162923663873,
399.9981080654881,
399.999993892244,
4.4186806736463025,
399.9174920592402,
9.885591139946204,
399.99753277114837,
390.1377602893654,
399.99996492679963,
399.69971739342816,
0.002670297828277768,
399.9997787637179,
387.9028452010008,
50.42365995014464,
0.1914549730268167,
8.884681516436132,
1.006621077997627,
42.94154177490219,
0.1732844393992128,
397.85547511448345,
399.9947076886217,
171.14310825892892,
399.99881997824616,
282.0047136179112,
0.0003938561261573881,
0.007211279909080659,
398.0372214990085,
302.0719081855429,
399.9999964011868,
0.00002632788467238356,
397.10467391046376,
239.7838108317063,
399.6637140631351,
399.9999723242905,
369.3917586912131,
398.61417025262284,
396.7905441665421,
7.010424303472118,
397.6580652663639,
0.3993284637507921,
113.65838932686117,
13.980655866532498,
399.9999974317772,
0.0005736647769039038,
1.0701798451328015,
399.99940743636085,
20.229670750163375,
398.8696860616821,
399.99999385638864,
349.39480982569233,
398.64903577957654,
0.0000021490418333769412,
399.99364587000434,
0.000040502592546509675,
2.7875821917929144,
399.99769231904895,
0.20546671952355045,
399.2159555875653,
384.15705956908874,
397.5164606712004,
399.99998592913977,
356.6657884428532,
399.9968898411598,
375.97101671707065,
399.95591565631406,
69.3423711462493,
1.4338864302148036,
0.0018726906247046315,
291.4887750290261,
0.000002626572781494474,
0.00022892851714306772,
203.85423215244168,
382.1122156298808,
0.00015305226694906082,
399.99998901301035,
399.9998697564968,
0.39221422530308914,
2.7835424423531263,
399.9990633090601,
178.3693134494747,
11.370487393309814,
399.8022229681943,
398.5954314435177,
3.396768399431238,
0.03730457901744977,
234.23109909620607,
2.260025124826792,
373.6693570138845,
4.2429427416045495,
398.9327784617571,
0.34925991604128903,
399.96743877373115,
0.017889604189202934,
219.46540217540917,
399.94113348994415,
33.21583098146572,
0.36795777091760407,
387.1168436247831,
394.1775557045357,
255.14323312347446,
0.0028960881938155936,
398.43212407265884,
0.000525016563646119,
330.4204329793004,
399.9995042639185,
0.020517716560175536,
399.99953598622693,
0.004071712208597589,
165.71797716371503,
69.49287688226853,
399.9632227895991,
3.8274178231734846,
0.000012220434619791831,
396.9296784083891,
0.23159906291538856,
390.8424501477299,
399.9881917982337,
399.97107767017457,
399.99976817485015,
366.38106385657466,
5.45298828668197,
31.591969647987273,
390.1942400248045,
139.5845699246598,
399.8936369053759,
389.91387214996286,
41.333728625790876,
251.91997510504,
399.99856945628096,
0.30515321134023665,
399.9981202597288,
370.1293163613141,
0.01902279269723195,
399.99998519370604,
394.88184965638425,
8.922369703771027,
92.86840848430273,
0.021348892153394416,
399.68241529695075,
399.99999441108065,
2.1248453812310553,
0.00011392966761114565,
399.9443572192959,
385.7932667133647,
0.008295672777314245,
399.99906545920425,
146.20239478219554,
0.000009928641131473626,
1.721261397083862,
399.9999419341903,
399.9886804691013,
0.033665481019884425,
0.000016882060438483393,
20.138272039904038,
399.99999750395534,
0.000023029436024835093,
0.5487095989366475,
322.9856082681216,
0.140851203625747,
18.60278461228455,
399.9998805566115,
399.99999395147506,
357.72729379916564,
395.53740763534194,
0.9830681809787745,
0.29227707138148595,
0.00021899412638859417,
388.45876992216506,
237.42739681272434,
397.891635621218,
399.9999974059212,
399.1555445449153,
0.002015825412682304,
0.0008237838173386081,
399.9954407968602,
383.9279591477581,
0.004848772737298113,
0.011248776520611514,
399.9999883833848,
2.187068256267777,
0.0000030501840608820885,
0.00011331453659835233,
44.4747649626692,
396.8262044673744,
16.44063742439481,
399.35066953308944,
399.9697886469888,
2.3022043721287133,
399.38980163978545,
11.07787490792067,
242.29484134347317,
1.51792277405991,
399.9975706590533,
399.999983507876,
399.9484400492269,
0.7321210574131154,
399.8164011727345,
0.00013691482381172904,
397.0639934878137,
0.000009526925537350905,
399.9959773398108,
392.0088299526676,
0.08445509669781082,
9.988796752021777,
0.5714318767423787,
399.99999744811606,
399.99560062062767,
12.502028159344093,
44.69634047760274,
0.0018923004507342966,
399.9999909036594,
368.21475512140364,
28.50874664837182,
399.99993259332706,
5.6960509353973565,
398.2808145019913,
399.9898716485265,
384.2330128427527,
399.9998490764211,
20.765117443495807,
351.83937845604953,
2.1537402129520045,
1.742398469094586,
238.2683870991778,
399.9998705172819,
49.0894884830023,
0.0016090398708756837,
399.99988212756494,
398.9534422950395,
0.023181697755814135,
399.9999101133697,
399.9796321985765,
0.009157311049645678,
11.080125968492883,
235.43758651817507,
0.28780685086009505,
0.00001017029243044476,
0.04082629943789051,
18.244146506896254,
0.00015711218135372462,
399.99999276733513,
399.9999902411445,
398.7783168442179,
0.00003522614002715585,
399.98081504086855,
378.4987870261159,
399.7087415630667,
399.9960219354348,
0.0002120574821518062,
399.8649663893986,
397.4354722516035,
399.99344195570234,
0.0233417088327581,
15.979865776817782,
2.1087639028352534,
0.0003430587242947425,
0.4196287313341873,
151.45257548949706,
381.5718910072559,
2.8970019882433418,
399.9286973802967,
396.6003379350866,
0.000013566410062004763,
397.06961889121476,
2.3385948160914216,
0.000008763285475055227,
210.74431958584205,
4.800300599843155,
399.09999963586375,
397.18486575585814,
9.429398343041463,
36.77277150920724,
0.6179607052199332,
4.679539955083234,
399.99999200409195,
399.40367078182373,
0.000690627532429211,
373.0963965945542,
399.99999675057853,
399.99988141716136,
397.37868983696865,
399.9999762041125,
362.3647083467305,
398.30408572865616,
0.7620513493749481,
0.0016596060111062627,
33.965913998417484,
33.96959376235586,
399.99920471462497,
395.8790491209408,
397.19400088487527,
399.9988285201146,
10.723804646859314,
391.96984238997476,
161.54886519207517,
14.699861604137098,
0.0002994641158604594,
399.96985069706056,
0.04930005733705389,
399.9999963847956,
13.511285606606993,
399.6888506505992,
399.99993551920534,
399.9988965657586,
396.7167255359591,
169.64588864100446
]
}
],
"layout": {
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"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
}
}
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Estimated Dimension vs. Number of Neurons')"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import skdim\n",
"\n",
"\n",
"num_points = 5000\n",
"\n",
"circle_points, intrinsic_coords = synthetic.hypersphere(1, num_points)\n",
"\n",
"\n",
"def f(points):\n",
" thetas = gs.arctan2(points[:, 1], points[:, 0])\n",
" amplitudes = 1 + 0.6 * np.cos(12 * thetas)\n",
"\n",
" return amplitudes.unsqueeze(-1) * points\n",
"\n",
"\n",
"transformed_circle_points = f(circle_points)\n",
"\n",
"Ns = list(range(3, 150))\n",
"\n",
"noisy_dim_estimates = []\n",
"manifold_dim_estimates = []\n",
"\n",
"for N in Ns:\n",
" scales = gs.abs(gs.random.normal(4, 2, N))\n",
" noisy_points, manifold_points = synthetic.synthetic_neural_manifold(\n",
" transformed_circle_points, N, \"tanh\", fano_factor=0.1, scales=scales\n",
" )\n",
" noisy_lpca = skdim.id.lPCA(ver=\"ratio\", alphaRatio=0.999).fit(noisy_points)\n",
" manifold_lpca = skdim.id.lPCA(ver=\"ratio\", alphaRatio=0.999).fit(manifold_points)\n",
" noisy_dim_estimates.append(noisy_lpca.dimension_)\n",
" manifold_dim_estimates.append(manifold_lpca.dimension_)\n",
"\n",
" if N == 3:\n",
" # make 3d plot with plotly\n",
" fig = go.Figure()\n",
" fig.add_trace(\n",
" go.Scatter3d(\n",
" x=manifold_points[:, 0],\n",
" y=manifold_points[:, 1],\n",
" z=manifold_points[:, 2],\n",
" mode=\"markers\",\n",
" marker=dict(size=5),\n",
" name=\"3d neural space\",\n",
" )\n",
" )\n",
" fig.show()\n",
"\n",
"fig, ax = plt.subplots(1, 1, figsize=(10, 5))\n",
"ax.scatter(Ns, noisy_dim_estimates, label=\"Noisy Data\")\n",
"ax.scatter(Ns, manifold_dim_estimates, label=\"Manifold Data\")\n",
"ax.axhline(y=2, color=\"r\", linestyle=\"--\", label=\"True Dimension\")\n",
"\n",
"ax.legend()\n",
"ax.set_xlabel(\"Number of neurons\")\n",
"ax.set_ylabel(\"Estimated Extrinsic Dimension\")\n",
"ax.set_title(\"Estimated Dimension vs. Number of Neurons\")\n",
"# ax.set_xlim([3, Ns[-1]])\n",
"# ax.set_ylim([0, Ns[-1]]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Synthetic Neural Activity Encoding: Van der Pol Oscillator"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"def runge_kutta_4(g_1, g_2, kappa_1_0, kappa_2_0, t_0, t_n, h):\n",
" t_values = np.arange(t_0, t_n + h, h)\n",
" kappa_1_values = []\n",
" kappa_2_values = []\n",
"\n",
" kappa_1 = kappa_1_0\n",
" kappa_2 = kappa_2_0\n",
"\n",
" for t in t_values:\n",
" kappa_1_values.append(kappa_1)\n",
" kappa_2_values.append(kappa_2)\n",
"\n",
" k1_1 = h * g_1(kappa_1, kappa_2, t)\n",
" k1_2 = h * g_2(kappa_1, kappa_2, t)\n",
"\n",
" k2_1 = h * g_1(kappa_1 + 0.5 * k1_1, kappa_2 + 0.5 * k1_2, t)\n",
" k2_2 = h * g_2(kappa_1 + 0.5 * k1_1, kappa_2 + 0.5 * k1_2, t)\n",
"\n",
" k3_1 = h * g_1(kappa_1 + 0.5 * k2_1, kappa_2 + 0.5 * k2_2, t)\n",
" k3_2 = h * g_2(kappa_1 + 0.5 * k2_1, kappa_2 + 0.5 * k2_2, t)\n",
"\n",
" k4_1 = h * g_1(kappa_1 + k3_1, kappa_2 + k3_2, t)\n",
" k4_2 = h * g_2(kappa_1 + k3_1, kappa_2 + k3_2, t)\n",
"\n",
" kappa_1 += (1 / 6) * (k1_1 + 2 * k2_1 + 2 * k3_1 + k4_1)\n",
" kappa_2 += (1 / 6) * (k1_2 + 2 * k2_2 + 2 * k3_2 + k4_2)\n",
"\n",
" return t_values, kappa_1_values, kappa_2_values"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"def g_1(kappa_1, kappa_2, t):\n",
" return kappa_2\n",
"\n",
"\n",
"mu = 0.4\n",
"\n",
"\n",
"def g_2(kappa_1, kappa_2, t):\n",
" return -kappa_1 + mu * (1 - kappa_1**2) * kappa_2"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t_0, t_n = 0, 100\n",
"h = 0.1\n",
"\n",
"\n",
"plt.figure()\n",
"plt.legend()\n",
"plt.xlabel(\"$\\kappa_1$\")\n",
"plt.ylabel(\"$\\kappa_2$\")\n",
"plt.title(\"Trajectories & Vector Field\")\n",
"\n",
"# plt.quiver(X, Y, U, V, scale=20, color=\"r\", label=\"Vector field\")\n",
"\n",
"kappa_1_0, kappa_2_0 = 0.3, 0\n",
"t_values, kappa_1_values, kappa_2_values = runge_kutta_4(\n",
" g_1, g_2, kappa_1_0, kappa_2_0, t_0, t_n, h\n",
")\n",
"plt.plot(kappa_1_values, kappa_2_values, \"b-\", label=\"Runge-Kutta path\")\n",
"plt.xlim((-2.5, 2.5))\n",
"plt.ylim((-2.5, 2.5))\n",
"# show gridlines\n",
"plt.grid(True)\n",
"\n",
"x_min, x_max = -2.5, 2.5\n",
"y_min, y_max = -2.5, 2.5\n",
"\n",
"\n",
"x_range = np.linspace(x_min, x_max, 20)\n",
"y_range = np.linspace(y_min, y_max, 20)\n",
"t_range = np.linspace(0, 2 * np.pi, 20)\n",
"\n",
"X, Y = np.meshgrid(x_range, y_range)\n",
"U = g_1(X, Y, 0)\n",
"V = g_2(X, Y, 0)\n",
"plt.quiver(X, Y, U, V, scale=20, color=\"r\", label=\"Vector field\")\n",
"plt.legend();"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"# make a np array of shape (num_points, 2) from the lists kappa_1_values and kappa_2_values\n",
"\n",
"kappa_values = np.array([kappa_1_values, kappa_2_values]).T"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"noisy_points, manifold_points = synthetic.synthetic_neural_manifold(\n",
" points=kappa_values,\n",
" encoding_dim=3,\n",
" nonlinearity=\"sigmoid\",\n",
" scales=gs.array([5, 3, 1]),\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"marker": {
"size": 5
},
"mode": "markers",
"type": "scatter3d",
"x": [
37.31354362589481,
34.81034208543253,
32.78807715935465,
31.22508513100586,
30.103294086911447,
29.411016566908526,
29.14526752378666,
29.313778251563033,
29.936856223325016,
31.049176134883673,
32.70147365259967,
34.961933556478286,
37.91679280051607,
41.66929466212164,
46.335644327402065,
52.03613368815161,
58.8794119426256,
66.93852856239394,
76.21960262560069,
86.62822588602577,
97.94414356707817,
109.81827910201305,
121.80315937027386,
133.41593566285033,
144.21709390761882,
153.87829493679595,
162.21752682777978,
169.19580829764408,
174.8856581005804,
179.42840378895337,
182.99470043699748,
185.75562359589858,
187.86544866840538,
189.4537892570989,
190.6238154318451,
191.45368513075277,
191.9991612431977,
192.29615319612773,
192.36244479769277,
192.19814426045562,
191.78446498312678,
191.08036523576794,
190.01638168625888,
188.48474148315765,
186.32467085605134,
183.3021193155918,
179.08483886453595,
173.21892238798748,
165.12485249061302,
154.15228112218895,
139.7544860364287,
121.82452475434242,
101.10183675743967,
79.32564459220688,
58.783826589345956,
41.4001416541316,
28.04897327903284,
18.5583234623226,
12.174513369179039,
8.027437870923777,
5.381714243070748,
3.703135271739031,
2.634962318688289,
1.9500428899604583,
1.5074210793203993,
1.220766257326624,
1.0376277659078268,
0.9265549498901494,
0.8694157471699734,
0.857044907606773,
0.8870842729567525,
0.963446143399169,
1.0973010582248506,
1.3099888343639263,
1.6389665338609951,
2.149164404488961,
2.954524138763891,
4.259128508524347,
6.435744538357328,
10.171821956706372,
16.71596658043777,
28.18087371958553,
47.4821694870562,
76.67028734526154,
112.96480887801792,
147.45780317181521,
172.24125559266642,
186.49592301700017,
193.63231576274086,
196.97269876079474,
198.5077674345101,
199.2221479383544,
199.56531702044575,
199.73729395716785,
199.8274921617649,
199.87676247064718,
199.90434718999782,
199.91959085910554,
199.92710217334212,
199.92906611401605,
199.92627010154158,
199.91849937392453,
199.90455277553173,
199.8819171974806,
199.8459627337733,
199.78825882310866,
199.69306856205012,
199.5297985037362,
199.235970401061,
198.67686881252976,
197.5453947123213,
195.10573058018048,
189.54741306352517,
176.60326268539285,
148.43673800378014,
100.71974941052937,
50.30751116340214,
19.393423758719738,
6.610335147978308,
2.2213665419148785,
0.7852459267931119,
0.3036483829081696,
0.13156408337193687,
0.06469817417078004,
0.036253782414710674,
0.023083290397192247,
0.016576951984971743,
0.013292705303218641,
0.011770878285901875,
0.011384507791163453,
0.01190442947497924,
0.013338617187386216,
0.01589548582190202,
0.020027525192331544,
0.026564423422160522,
0.03699531581887727,
0.054048921182099405,
0.08292324891581354,
0.13402671430102878,
0.22946412766826166,
0.4194289483402558,
0.8266228341063683,
1.775178854390403,
4.185777269383296,
10.786371387548613,
29.1322272194441,
72.47188558402698,
134.85406379655402,
177.70104386606118,
193.7515777910994,
198.2911506197684,
199.49915848076364,
199.83446142437884,
199.93650599563466,
199.97137709007356,
199.9848284629383,
199.99062185419788,
199.9933292917219,
199.99462479011913,
199.9951706743494,
199.9952334798775,
199.99489904128257,
199.99414636219785,
199.99286151260202,
199.99081373122172,
199.98758937937345,
199.98245575764489,
199.9740862540718,
199.95998735841164,
199.93524229235155,
199.88958524078055,
199.80011098720178,
199.61171361977344,
199.1803268813504,
198.09510202422803,
195.08830868771804,
186.1158980949427,
159.95206147867765,
103.10868719020696,
41.40613750663697,
11.617359324666344,
2.91819299894819,
0.7611474430045524,
0.2219897649319464,
0.07538729250052806,
0.03040858959956202,
0.014631266228013425,
0.008338940786480373,
0.005551303265793419,
0.004242153464496179,
0.003654592252314213,
0.0034893409477227922,
0.003636820184415234,
0.0040849534167194295,
0.004892860705416292,
0.006197753826618556,
0.008250474419183404,
0.011492311372394724,
0.016708420741319868,
0.025339496648494587,
0.040143250367570486,
0.06667882894466963,
0.11685858535517422,
0.21807526038667094,
0.43855130750507615,
0.9637130298759135,
2.3448005652274246,
6.348923972195518,
18.684403403569284,
53.725901331282,
118.60618659400288,
172.25140646425723,
192.8559576912113,
198.24727295239373,
199.53797073699675,
199.86088344763698,
199.9505499964425,
199.978962882111,
199.98929772539,
199.99355899178823,
199.99548883147153,
199.9963909181314,
199.99676210438983,
199.99679706373513,
199.9965574578448,
199.99602867634468,
199.99513115944342,
199.99370468304204,
199.99146388705782,
199.9879072064014,
199.98213529673276,
199.97247804019898,
199.95569014460727,
199.9251113929318,
199.8661688686266,
199.7445388619886,
199.47240265384892,
198.8040128065799,
196.98755726850453,
191.56590635651435,
174.76667650184592,
130.24593098997394,
62.61682510378287,
18.998123557539095,
4.701262859018055,
1.1594917248775523,
0.3143968214188202,
0.09868152744818108,
0.036828891247026554,
0.016488534292272317,
0.00881623399433196,
0.005556479759150947,
0.00405585592478193,
0.003364293866742618,
0.0031138966863586987,
0.0031636601668456263,
0.003478965541441089,
0.004093082522974905,
0.005104764266468199,
0.0067011650808798395,
0.009212199807009443,
0.013219633634935673,
0.01977566890034541,
0.03085751547134175,
0.05036316992157003,
0.08643032239935514,
0.15722112878258512,
0.3064883346291751,
0.6490019803827484,
1.5144301728782537,
3.935320207094791,
11.315208478064871,
33.89517856386123,
87.75667548154969,
153.24050116345884,
186.97924040218388,
196.83350292772167,
199.20543550593953,
199.77685953148153,
199.9267378842459,
199.9712721090078,
199.98648327137116,
199.99242505524165,
199.99501808269113,
199.99622457877413,
199.99676525410322,
199.996922049357,
199.99679841279095,
199.99640797923018,
199.9957003616919,
199.99455628964313,
199.99275735717418,
199.98992012580976,
199.98536491334445,
199.97785079890252,
199.96501725649784,
199.9421413423335,
199.89919053052878,
199.8133211203333,
199.62824590259092,
199.1926328108184,
198.06078512776776,
194.80832223373113,
184.74937805230405,
154.94439035572594,
93.17527888873506,
33.94477176709798,
8.887774523156127,
2.1535357607221606,
0.5536455589124639,
0.16166200479198833,
0.055622328433820076,
0.0229216303294211,
0.011323524355003669,
0.006640091683406055,
0.004547954273298844,
0.0035707693891203897,
0.0031537901908731394,
0.0030795119496931696,
0.003274318418044604,
0.003743074718163053,
0.004553380426506668,
0.005847169100746785,
0.007878970873617951,
0.011095454411567885,
0.016293631849388205,
0.024943514584188847,
0.03987751531132056,
0.06685037581808971,
0.11830759939457751,
0.22317586867194933,
0.4543906536802803,
1.0129570025363854,
2.505356122187622,
6.901950648923112,
20.58495673967718,
58.93070738791029,
125.6473163093694,
175.93115099865452,
193.95339455702526,
198.5254612691549,
199.6096132836376,
199.8811425885854,
199.95709189593228,
199.98141753746143,
199.99036992902097,
199.99409919991555,
199.99579765588146,
199.9965870842992,
199.99689719201496,
199.99689493505377,
199.99662891361896,
199.996076975452,
199.9951535105408,
199.99369117616752,
199.99139359638457,
199.9877395437651,
199.98179173699776,
199.97180248594316,
199.95435864105426,
199.92241365619037,
199.86044206547598,
199.73158491125764,
199.4406926975234,
198.7189392509346,
196.73627849174093,
190.76513207069027,
172.26960394703156,
124.62693307487712,
57.098662090868935,
16.76492807458597,
4.109478149281801,
1.016627096296285,
0.2783401319931171,
0.08856062425981476,
0.03357296618360188,
0.015276393820615923,
0.008297115950490675,
0.005305422822820856,
0.003922875396061534,
0.0032908477732321007,
0.0030756314936228202,
0.0031508827958290557,
0.0034897021995244494,
0.004131027680421167,
0.005179793507720624,
0.0068321347221949325,
0.009433099989002346,
0.013592028706952877,
0.02041424662425253,
0.03198488610039219,
0.05243414675109134,
0.09043250052999746,
0.16545584096498112,
0.3247644300496169,
0.6933255289654663,
1.6330802084887706,
4.285720967438963,
12.41865589147215,
37.12039391339247,
93.72348580742089,
157.63785208647104,
188.46575964456838,
197.20325553944818,
199.29356074318662,
199.79927798701084,
199.93313773819358,
199.97336886207717,
199.98727387414564,
199.99276352708299,
199.99517781028237,
199.99630331140978,
199.996801136114,
199.9969303162645,
199.99678392830526,
199.9963694673363,
199.99563116489531,
199.9944429508404,
199.99257578182994,
199.98962774656331,
199.98488503356114,
199.97704032655028,
199.96359687746937,
199.93953526410436,
199.8941333651033,
199.80281985743295,
199.6046118705684,
199.13426650379103,
197.90132275204812,
194.32935304535866,
183.24812421089248,
150.88873606990097,
87.17423158725343,
30.537353565959325,
7.875356414589948,
1.9099603124731892,
0.4952741408908544,
0.14647710362687322,
0.05115588486923199,
0.02141216033000174,
0.010739076300883358,
0.0063859096105346475,
0.004428585798209216,
0.0035148426895148304,
0.0031332728415789666,
0.003083658604483497,
0.0033007313113076384,
0.0037948920833986524,
0.004639271721143512,
0.005983417233347271,
0.008094255514647652,
0.01144040966140111,
0.01686000352742412,
0.02590405418962714,
0.041573508315262665,
0.06999577513961153,
0.12449890822768327,
0.23626551765027526,
0.48449773412929,
1.0891799831843092,
2.7189841340385037,
7.5555253198061685,
22.606263501703975,
63.82342274574756,
131.27566460015905,
178.47428811515564,
194.64283840374193,
198.68877213701512,
199.6493370318922,
199.89177924258934,
199.96033214585563,
199.98255219785463,
199.9908230608791,
199.99430042311735,
199.99589227786072,
199.9966293717345,
199.99690856178228,
199.9968831219884,
199.99659453993925,
199.99601537680772,
199.99505413930996,
199.99353487566685,
199.9911467824975,
199.98734265618313,
199.98113591108046,
199.97068035236657,
199.95235470273408,
199.91864410064233,
199.85289208483246,
199.71528557828137,
199.40227784141865,
198.61903045653168,
196.44886317404521,
189.87282017160234,
169.59154151978012,
119.04227669312348,
52.184935472090324,
14.928872426497405,
3.642061962141231,
0.9062995188592003,
0.25094099329564096,
0.08098302987083099,
0.03117753577606867,
0.014406462398113246,
0.007938751762886056,
0.005143047817083334,
0.0038466437339531603,
0.003258879895129176,
0.0030714411615343318,
0.0031690946859718665,
0.0035312241601420115,
0.004202007669630896,
0.005292774867541465,
0.007009477456210155,
0.009714003387827526,
0.014046472088460868,
0.02117143114106213,
0.033294056647679836,
0.054802333698085154,
0.09495749592886354,
0.1746915876775002,
0.3451542251582569,
0.7426304622391946,
1.7648994359592356,
4.674515489908883,
13.635103179960081,
40.58143582665664,
99.6857105349956,
161.65546108454666,
189.7578867101406,
197.5190936642502,
199.36851245233467,
199.8183640710845,
199.9386016232582,
199.97516253812856,
199.98794909996994,
199.99304998831843,
199.9953098101596,
199.996364685625,
199.99682439858753,
199.99692807637558,
199.99675957862627,
199.99632066947206,
199.99555022592463,
199.99431510880885,
199.99237499890842,
199.98930825444356,
199.98436447955396,
199.97616499393936,
199.96206621185672,
199.9367280315089,
199.88867937534542,
199.79146354985335,
199.57894557302419,
199.07053402673137,
197.7261510297503,
193.80090481811789,
181.59880846517387,
146.57281509503846,
81.26418891235576,
27.429368737389183,
6.982383285145113,
1.696773198889467,
0.4440545727195529,
0.13305788142197117,
0.04717333388500406,
0.020054364040698255,
0.010209840504411396,
0.006155247467906248,
0.0043210087737615786,
0.0034659212073059596,
0.0031177189549210314,
0.00309199605999313,
0.0033313017785896485,
0.0038514339733175724,
0.004731140591746608,
0.0061278876998680605,
0.008321636201009645,
0.0118042187145996,
0.01745739519630236,
0.02691850150334823,
0.04336885925065292,
0.07333672341651411,
0.13110482222927503,
0.2503115101114382,
0.5170271699031257,
1.1721784781822202,
2.953408646609356,
8.276122534311375,
24.817818100940915,
68.95357452647912,
136.70552933333485,
180.77530030082272,
195.25258191992577,
198.83283189397883,
199.68457441188792,
199.9013037683534,
199.96326557639287,
199.98359052613287,
199.99124144539996,
199.9944871819914,
199.99597989267988,
199.9966676289932,
199.9969170963734,
199.99686882385245,
199.99655750003632,
199.9959504399023,
199.99495012353387,
199.99337163107046,
199.9908890103101,
199.98692765051308,
199.9804487283578,
199.96950122555998,
199.95024129662914,
199.91465048414418,
199.84484853804062,
199.69780396302426,
199.36075521655087,
198.51012188087748,
196.13308391686937,
188.88930841307857,
166.68074611587792,
113.29948900695072,
47.541985549003066,
13.280723962855825,
3.2287073628089393,
0.8086610022842687,
0.226514879609592,
0.0741564745505761,
0.028994294494408067,
0.013604705094418646,
0.007605432715557607,
0.004991222869028347,
0.0037755640704860293,
0.003229916960024418,
0.0030694402180263696,
0.0031893471430680803,
0.003575101394902817,
0.004276139260003202,
0.005410379131247103,
0.007194018942881405,
0.010006638424805432,
0.014520842215143688,
0.02196394736897812,
0.03466895228730037,
0.05729975714552306,
0.09975360659317241,
0.1845404547222929,
0.3670544117499308,
0.7960226375895613,
1.908884130304395,
5.102320958213359,
14.974234722453186,
44.30626007626018,
105.68003878201624,
165.38273045228615,
190.91066557535498,
197.7983364035579,
199.43498928864435,
199.8354372909397,
199.94354384606,
199.97680423642223,
199.98857393428858,
199.993317373697,
199.9954335396368,
199.9964218898913,
199.99684512069058,
199.99692387053642,
199.996733269103,
199.99626947652365,
199.9954659490251,
199.99418223202824,
199.99216621415482,
199.98897550188877,
199.9838210528865,
199.9752484723304,
199.96045763936542,
199.93376474898398,
199.8828911245986,
199.7793334118802,
199.55132324120214,
199.00136384137198,
197.53439434014453,
193.21874024994932,
179.78819591021966,
141.99086039490825,
75.46222629360702,
24.58866442821431,
6.189111412945278,
1.5082440113816538,
0.39852968616620915,
0.12101695282201101,
0.043558501456967914,
0.0188073370224791,
0.009718617107247031,
0.0059394740807412385,
0.004220120735924097,
0.003420519689092765,
0.003104435237823423,
0.0031022158572952844,
0.0033638728408572683,
0.00391053495057884,
0.004826679473581768,
0.006277997272074677,
0.008558103925436562,
0.012183271487333783,
0.01808140588613793,
0.027981532762041586,
0.04525752069398196,
0.07686790996442593,
0.13812663134496894,
0.26534292310463525,
0.5521119598790227,
1.262469796961942,
3.210568468570829,
9.070422776636423,
27.233740553983942,
74.30530356013331,
141.91404878722417,
182.85451845105416,
195.79278953429687,
198.96032854917814,
199.71596657946506,
199.90987626205865,
199.9659369814144,
199.9845471437744,
199.99163078173103,
199.99466215044708,
199.9960620003014,
199.9967028434657,
199.99692353940773,
199.99685266450945,
199.99651836270053,
199.99588271579412,
199.99484201817305,
199.99320200812429,
199.99062083854437,
199.98649500551403,
199.97973037976726,
199.9682644558997,
199.9480154602289,
199.91042347934538,
199.83628399650553,
199.67905831835293,
199.31586905958468,
198.3913642043787,
195.78602302247813,
187.80557356512122,
163.52531223081996,
107.43306892480054,
43.180175734018306,
11.803825262277421,
2.8630197938352078,
0.722138064515989,
0.20469894958402454,
0.06799301407101929,
0.026999604270069193,
0.012863852285882136,
0.007294550492919743,
0.004848843640043207,
0.003709083187959336,
0.0032036342537874927,
0.003069410895026758,
0.003211479956982743,
0.0036212121371064407,
0.004353336961047208,
0.005532570559119856,
0.007385810051627207,
0.010311224290064471,
0.015015704080737737,
0.022793101762892683,
0.036112543328226346,
0.05993332570439875,
0.1048376648388795,
0.19504613628493278,
0.39058736101297375,
0.8538742408419642,
2.0662544298745424,
5.5732367035469315,
16.447428579987307,
48.299695452638154,
111.66249240558753,
168.82352738878674,
191.93767286450148,
198.0452628265134,
199.49399823318075,
199.8507278957992,
199.9480202683368,
199.9783089460577,
199.9891529206282,
199.99356725359485,
199.99554961829278,
199.99647520104284,
199.99686343883965,
199.99691776749367,
199.99670502650338,
199.9962158777691,
199.99537827582714,
199.99404418677028,
199.99194916081402,
199.98862897200104,
199.98325374202545,
199.97428872110675,
199.9587668543269,
199.93063579749634,
199.87674560457336,
199.76636992115027,
199.5215770333638,
198.92623922938523,
197.32434408369087,
192.57723681021284,
177.80305163188618,
137.15104495473196,
69.8082997541058,
22.00239464744928,
5.485087191159385,
1.3414826456715463,
0.35803596706758906,
0.11020180509175065,
0.04027377803203112,
0.01766079788487087,
0.009262245698417406,
0.005737495311059314,
0.004125499247744372,
0.003378461412127468,
0.0030933480494030417,
0.0031142972641186512,
0.0033984613960145885,
0.003972251669321994,
0.0049260013888810395,
0.006433952105139324,
0.008804031300014427,
0.012578254551682088,
0.018733344599119225,
0.02909575874083774,
0.04724499427193765,
0.0806017044538419,
0.14559429615162744,
0.2814386208409792,
0.5899790754625325,
1.3607667449740162,
3.4928427050985693,
9.945969608658775,
29.867442521651576,
79.85349225274653,
146.87624280577688,
184.72785777034179,
196.27112258948847,
199.07320723171938,
199.74395509268717,
199.91759951907633,
199.96837230103824,
199.98542933395933,
199.99199336614586,
199.994826138566,
199.99613891477617,
199.99673514252868,
199.99692793659952,
199.99683464427213,
199.9964770916862,
199.99581212506422,
199.99472967881627,
199.99302575218874,
199.9903418128761,
199.98604388624628,
199.9789792672957,
199.96696682828002,
199.94567033083177,
199.90594739898972,
199.8271597026942,
199.65894430597615,
199.26731193350557,
198.2617720823812,
195.40437994562737,
186.61182186343177,
160.1151764528525,
101.48281809352339,
39.10644233822183,
10.483111656199515,
2.5395788549458738,
0.6454274570592078,
0.18519787867023482,
0.06242268333885093,
0.02517533808887083,
0.012178660959034242,
0.007004403442957132,
0.004715295208306647,
0.003646959887164227,
0.0031799361510730334,
0.0030713246790358894,
0.0032355054898797393,
0.0036696057271156856,
0.0044336976871652105,
0.005659520791675475,
0.007585151812871954,
0.010628299639855709,
0.015532055026308788,
0.023660823938666007,
0.037628766059121695,
0.0627115829930517,
0.11022958506021555,
0.20625893223060054,
0.4158917701884408,
0.9166038611267371,
2.2383767000875947,
6.091810156503253,
18.066736652512304,
52.56301549280269,
117.58851566872694,
171.98488773113604,
192.8513619942278,
198.26361749314836,
199.54641008059,
199.86443427115984,
199.9520788843559,
199.97968945856738,
199.9896898746642,
199.99380090375143,
199.99565851855562,
199.99652480639963,
199.99687942492463,
199.9969097825305,
199.99667482797747,
199.99615981187063,
199.99528709190614,
199.99390077239212,
199.99172348625626,
199.98826802922142,
199.98266135793327,
199.97328340962818,
199.95698902772475,
199.9273305034569,
199.870217414431,
199.7525074237343,
199.48952142489273,
198.84458700180852,
197.0941016354018,
191.87021030060254,
175.6298339986857,
132.06668147727177,
64.33864662112636,
19.65626388441942,
4.860809060179641,
1.1939423728549228,
0.3219919650690618,
0.1004785206320395,
0.03728599043763804,
0.01660563987910672,
0.00883792371800652,
0.005548346304784301,
0.004036778743854361,
0.0033396006138986817,
0.0030844045410829113,
0.0031282363905257744,
0.0034351003006385934,
0.004036657996644987,
0.005029240090479944,
0.006595985905591409,
0.009059831089546428,
0.012989918487163769,
0.019414631941524613,
0.03026400338204013,
0.04933722863952344,
0.08455150833086346,
0.1535404038376784,
0.2986848488263227,
0.6308783077985172,
1.46785842666495,
3.8028692709852976,
10.910984656984903,
32.73176261138808,
85.56778396198496,
151.57282433390108,
186.4112600725383,
196.694472617522,
199.17318311336422,
199.7689286468373,
199.92456444637102,
199.97059464291382,
199.98624363629062,
199.99233127476873,
199.9949798816004,
199.99621092032874,
199.9967646391699,
199.9969303249287,
199.99681475661797,
199.9964336439534,
199.99573858010805,
199.99461294968367,
199.9928425910608,
199.99005144941754,
199.98557340408502,
199.97819368809078,
199.96560490721473,
199.94319854542994,
199.9012053235996,
199.81743359096257,
199.63734787704894,
199.21474532940678,
198.12025418509438,
194.9845021335191
],
"y": [
66.5266443079322,
67.73887821435977,
69.31554212010063,
71.26496020346856,
73.593238416577,
76.30315751660338,
79.3928331929888,
82.85421150849187,
86.67151579762468,
90.81981281840828,
95.26391092010437,
99.9578263328525,
104.845038747212,
109.85969125176376,
114.92877043005353,
119.97514468064357,
124.92117470620376,
129.6924819717705,
134.22140739453482,
138.44973316113277,
142.3303667682785,
145.8278637730946,
148.91784726353185,
151.58552520608154,
153.82358683311583,
155.62977328252626,
157.00438047172537,
157.94788685930362,
158.4588283297273,
158.53198437306625,
158.1569043429299,
157.31679419099243,
155.98780317198347,
154.13879489493027,
151.73175412712138,
148.7230624900061,
145.06595708786492,
140.7145362181182,
135.629644902561,
129.78678780768325,
123.18579966956253,
115.861313059539,
107.89217509254334,
99.40715192109928,
90.58400432176663,
81.63984000265715,
72.81273643869926,
64.33746327737404,
56.42050213450419,
49.22017806184119,
42.83611553658528,
37.30917356479685,
32.629988805282395,
28.752498988813052,
25.608673054733188,
23.121669307772027,
21.216018883793737,
19.824604528919217,
18.892929772278087,
18.381472535506372,
18.266929319123168,
18.543025771460673,
19.22139557013752,
20.33285776710861,
21.92925494711272,
24.085818881055022,
26.90374588597771,
30.51220297844543,
35.06824614859479,
40.75205057386248,
47.753550197504,
56.2456569419167,
66.34013216836303,
78.02726589131585,
91.1116511967567,
105.17111874949336,
119.57356132299275,
133.5714623839505,
146.4536709564294,
157.69389611993657,
167.03243060668794,
174.46785844947073,
180.18399444211747,
184.4578846355039,
187.5840346739917,
189.82803472865797,
191.40653789523316,
192.48440531345923,
193.180333991466,
193.5751253037818,
193.71946562317973,
193.6398947415424,
193.3425851594644,
192.81492863900215,
192.02498024218508,
190.9187137288024,
189.41490331070779,
187.39736169702846,
184.70438614421016,
181.11590079282746,
176.3405324161375,
170.0087030599066,
161.684852210711,
150.92164361327644,
137.38488549889595,
121.06082419685616,
102.49121963233736,
82.87791629784026,
63.87224179179303,
47.056388449251855,
33.4203281052071,
23.172853305505214,
15.92494111036921,
11.019987829682902,
7.796410814576298,
5.715686903616348,
4.389111473359796,
3.5562652094903973,
3.051033280822201,
2.771378925382058,
2.657304194021226,
2.6764607222160905,
2.8155576116564234,
3.0758598631933154,
3.4716147228851897,
4.0307944539560365,
4.798015694353824,
5.839904501587984,
7.253548910360533,
9.178992293094785,
11.816800602017736,
15.451068204366477,
20.475557383125373,
27.413469828469083,
36.905938359052456,
49.619814261760766,
66.00822035558883,
85.90556848849651,
108.12863598903199,
130.49707471420322,
150.5590093683424,
166.62134348462166,
178.2641155023282,
186.07043274195917,
191.02598289315785,
194.06767214692496,
195.90226643227564,
196.9995309847189,
197.6491857300837,
198.02198405775334,
198.2155105536674,
198.28367659879288,
198.25414282611428,
198.13793353411745,
197.93423566356245,
197.63216009260563,
197.21036288937376,
196.63481419010228,
195.85454130221112,
194.7947625085359,
193.34641585983042,
191.3507048582442,
188.57716941866101,
184.69469692932432,
179.2387019447968,
171.58831756272633,
160.99041681719905,
146.70234203537896,
128.33987434520694,
106.41183415825961,
82.71138821113018,
59.987295098949744,
40.79131124426144,
26.37861139727479,
16.558594394800764,
10.327223937143643,
6.55042025117871,
4.3176438568113475,
3.0114928393323472,
2.2517476404527423,
1.8170706464808914,
1.582889142052728,
1.4809338120805962,
1.4754195082428847,
1.549913642056925,
1.7005837106945927,
1.9332259570215844,
2.262693158479319,
2.7141269392997986,
3.3259331932049245,
4.154861255188404,
5.28395341980981,
6.834561900018684,
8.984018809293165,
11.990550671606007,
16.22563085435523,
22.208657099357314,
30.6246825026681,
42.27684806507695,
57.88630045236465,
77.65642613552805,
100.6924920585945,
124.74721824440273,
146.8733949131232,
164.76751362484598,
177.6692407639905,
186.16528501679673,
191.41614029212332,
194.53862485869257,
196.36055098518503,
197.41613433371876,
198.02368834463581,
198.3643016323267,
198.5380951941812,
198.59889362854383,
198.57390775175972,
198.4742548882332,
198.3001338050846,
198.0428259956232,
197.68461043532014,
197.1969882510699,
196.53713223569568,
195.6420707992666,
194.4197039273774,
192.73530900432024,
190.39184326873132,
187.1025606393474,
182.4565771137135,
175.88519301110702,
166.65478016227118,
153.9461776001555,
137.11732830563582,
116.209787166732,
92.51308553306174,
68.61038985415148,
47.43985621170611,
30.92727300413468,
19.381559529045344,
11.953914761459606,
7.436093281751843,
4.775404778487664,
3.2310008955801064,
2.339320965178881,
1.82936883686458,
1.548842979431053,
1.4143498478085408,
1.38169041514588,
1.429349661920224,
1.5498614959821055,
1.745743143880235,
2.028186997365199,
2.4176533110326854,
2.9461213008496414,
3.6612036260647263,
4.632729206055237,
5.962820965608903,
7.800934040279266,
10.36559387799829,
13.974039214632253,
19.077900339656466,
26.293573979942735,
36.39373578629038,
50.18832753144713,
68.1948346218582,
90.07817559815501,
114.15595337202049,
137.60662163936053,
157.63822732887246,
172.75817219050026,
183.05563720973217,
189.5570269228499,
193.46518819160892,
195.7526966839855,
197.07705559019902,
197.84011891673708,
198.27356639976043,
198.50648607082522,
198.60900759663934,
198.61772713576624,
198.54959542545345,
198.40902627876233,
198.1910618364215,
197.8820976619657,
197.45882900285733,
196.8855264073338,
196.10932458500204,
195.05280733917624,
193.60273975209418,
191.5933736749279,
188.7826023910729,
184.82022347290982,
179.21188318290515,
171.29452311816164,
160.26590972151558,
145.35120901151683,
126.2022224051443,
103.4884110181974,
79.26821428120736,
56.5019427002609,
37.72731891041844,
23.983391132347997,
14.841189683855816,
9.161259632555964,
5.77898451357725,
3.8079579106741646,
2.6686389200743967,
2.0136453586880276,
1.644954434563995,
1.4530276829528188,
1.378841964433216,
1.3922047222001244,
1.480097818426795,
1.6408606172399107,
1.8817979407989804,
2.2189790999664174,
2.6787382993171716,
3.3008913269262403,
4.144092898771539,
5.294165602534784,
6.8766709825764245,
9.075386353991261,
12.158317567858056,
16.511290126416647,
22.673270186937042,
31.35202044867855,
43.367296442230504,
59.42888359586521,
79.66939604458362,
103.05341263364762,
127.18325642275683,
149.06710160223372,
166.50807724082415,
178.9148749121498,
186.99353310681028,
191.9430848643637,
194.86777919456776,
196.56666833661473,
197.54749073084236,
198.10959469354643,
198.4219894093868,
198.57753787403675,
198.62579570575335,
198.59143557217297,
198.4839877288068,
198.30254681684934,
198.03748372086687,
197.6701599937511,
197.17098090136528,
196.49565629311908,
195.57913696781443,
194.32627912891542,
192.59784691898142,
190.190127764284,
186.8067304414053,
182.0235237014974,
175.25553761496295,
165.75401656918967,
152.6975439760222,
135.47637406041144,
114.22019622607979,
90.34872960966405,
66.54007627255058,
45.70631920849581,
29.640039962082383,
18.51245732578505,
11.404643705510244,
7.102183719949166,
4.575703644767143,
3.1115715903425283,
2.267313431615801,
1.7857352114424323,
1.5228359940152785,
1.4000246821523057,
1.3758710806869072,
1.4305141019926038,
1.557569016017786,
1.7603823325492822,
2.0509277302562556,
2.4505538220253937,
2.992387202881269,
3.7256327948991315,
4.722413002231302,
6.088212221448,
7.977430163611793,
10.615789363878578,
14.330683412896642,
19.58712196498691,
27.016635128702067,
37.40285366414722,
51.548369491243605,
69.92295589589307,
92.09023307846923,
116.24525823771168,
139.50923345170474,
159.1578914325721,
173.84074393940887,
183.76193326937704,
189.9912362007639,
193.7231759005932,
195.90378344173394,
197.1653212019771,
197.89161085038006,
198.3030475377662,
198.52211443374748,
198.6151751138101,
198.61665684490302,
198.54218996181604,
198.39528162197314,
198.17022216751818,
197.8526379400152,
197.41829511853751,
196.83022268904497,
196.03380395505908,
194.94908365503306,
193.4591031864711,
191.3926588459379,
188.49977768531318,
184.4193591940223,
178.64320029548355,
170.4938478335187,
159.1619506667223,
143.88939583083774,
124.3903644383833,
101.44628953298435,
77.22745499170459,
54.7165805924525,
36.35317470233238,
23.034009147265234,
14.2359384470521,
8.795174453879556,
5.563875239125472,
3.6830310726669238,
2.5963261839727374,
1.9721428862053791,
1.6220554151602666,
1.4420622993540224,
1.376285229394244,
1.3963578781450527,
1.4904038611280739,
1.6575870527300172,
1.9059425836974317,
2.2523322457197668,
2.724084628812249,
3.362371958193839,
4.227781852600379,
5.408951206021081,
7.0355706558944044,
9.297446313346637,
12.471199653550121,
16.95437137878893,
23.30023182543392,
32.2299114831489,
44.56564780349012,
60.98996916828404,
81.55837132966836,
105.11627971038473,
129.17069159482716,
150.74259954649116,
167.75600960917194,
179.7551035447351,
187.5195664850647,
192.2576588059329,
195.0514686306743,
196.67298076715775,
197.608777371235,
198.14438909333145,
198.440580788075,
198.5855003512136,
198.62602219413,
198.58524037786302,
198.47166584397348,
198.28361708227044,
198.01073449163647,
197.63354788464375,
197.12138811318184,
196.4284767770745,
195.48762767162103,
194.20057551337356,
192.42350550696625,
189.94604688557055,
186.46239031120814,
181.53587474513208,
174.56696250635866,
164.79518361629366,
151.4025608831784,
133.81863488399816,
112.26451599728723,
88.28134531719358,
64.61956729261482,
44.143772810294166,
28.510995428934493,
17.76947154452763,
10.946548336425302,
6.8306358254075095,
4.417778208494708,
3.020325868598621,
2.2148729650058785,
1.7562975758417734,
1.507688992529463,
1.3944895372524362,
1.3775734828333197,
1.4384617485037823,
1.5716963450366792,
1.7813700119705818,
2.08020014592547,
2.4904179637892385,
3.046317613438035,
3.7987414344176655,
4.822177482779672,
6.225573598048385,
8.168404893800732,
10.883735038874406,
14.709213660500694,
20.123137271707083,
27.771545628438254,
38.44726696237652,
52.941989068030225,
71.67279865093856,
94.09905335662401,
118.29827566710465,
141.34807293896307,
160.6035962428209,
174.85631135161398,
184.4166599246395,
190.38964856796343,
193.95769389090174,
196.0397948751784,
197.24381426837093,
197.93655434807692,
198.32790964959187,
198.53427226492735,
198.61854954919352,
198.61317807287523,
198.53256632946298,
198.3793658860013,
198.14713698302785,
197.8207382419109,
197.37499149172507,
196.77165145936397,
195.95429601757903,
194.8403486161351,
193.30900742339378,
191.18344793006082,
188.2056221501395,
184.00331839361692,
178.05440395664306,
169.66742623687793,
158.02742977322745,
142.39635262848594,
122.5554190227654,
99.40042495819789,
75.20832568429492,
52.97256402623639,
35.026335358769366,
22.125978317996914,
13.66119930299295,
8.449346289519056,
5.361441085981398,
3.565853523848961,
2.528783575707575,
1.9336757330262526,
1.6012002396172724,
1.432581821701091,
1.3749080830302838,
1.4015409626569186,
1.5016953250349359,
1.6753371511861472,
1.9312274976997914,
2.2870300354074087,
2.7710906147180125,
3.4259770660166113,
4.314271182240336,
5.527516469003613,
7.199667547440438,
9.526747602031962,
12.7942336417025,
17.41162646159323,
23.946586185203543,
33.13313424194037,
45.794237865344094,
62.58151850560893,
83.46879617833574,
107.1811556019505,
131.13698530297125,
152.38126741572898,
168.9643552291664,
180.56241351826904,
188.02228461109056,
192.55728599462788,
195.22610039587192,
196.77392763585303,
197.6668671598841,
198.1772155412956,
198.4578858839202,
198.59254559740418,
198.6255189036653,
198.57839055154372,
198.4586857248046,
198.2639589302604,
197.98311782950262,
197.59584610626132,
197.07037262405169,
196.35938603100473,
195.39349433806524,
194.07120774840482,
192.24398266355217,
189.69458303802233,
186.10752438581602,
181.0333745524005,
173.85801344762734,
163.80995333209037,
150.07683292050478,
132.13155015017176,
110.29086003972233,
86.21677869348613,
62.72359517568734,
42.61797344819115,
27.41852142874247,
17.055388298792334,
10.50821375433763,
6.571443737488722,
4.267206229758906,
2.933377829481826,
2.1649673632640822,
1.7284103092381191,
1.4935547834185638,
1.3896835673545669,
1.3798698088116537,
1.446962008728927,
1.586404105811367,
1.8030283808957173,
2.1103021939941575,
2.5313574367664637,
3.1016876674599803,
3.873823103611977,
4.924694421569833,
6.366827501049268,
8.36493804082491,
11.159654856229558,
15.099149614847226,
20.675220650435957,
28.548310359049317,
39.51944183549978,
54.36671658916673,
73.45011590302406,
96.12121955569795,
120.34265488313613,
143.15839183864924,
162.0120624305009,
175.8374206834402,
185.04538690877283,
190.77081150567605,
194.18162802677318,
196.1695745438019,
197.31868066761606,
197.97935522783055,
198.35145056461602,
198.54555283630557,
198.62127583643024,
198.60915298758982,
198.52241494132286,
198.36287629803527,
198.1233697976621,
197.78797676932226,
197.33055311845885,
196.7115429776161,
195.87266204744358,
194.7286265240718,
193.15466423906486,
190.96814886274808,
187.90271795994119,
183.5747812626263,
177.44810962716264,
168.81752694127584,
156.86385287652573,
140.87229350547946,
120.69570517891341,
97.34662383588213,
73.20378471012062,
51.2605645521681,
33.73677000031397,
21.250270979339998,
13.10986616780753,
8.118650205136618,
5.168152832821876,
3.4540244916455576,
2.464354203825581,
1.8970609223343513,
1.5815043375297846,
1.423889644362595,
1.3741326237646627,
1.4072505261750803,
1.5135138839494973,
1.693677263809163,
1.9572286160674524,
2.322646240299636,
2.8193184515231695,
3.491249876787575,
4.403080142151542,
5.649355208914362,
7.36843426366835,
9.762754803012113,
13.126902084333402,
17.882596560723634,
24.61198155215731,
34.061473549695435,
47.05294968544559,
64.20338925381424,
85.40044265111142,
109.24804502880167,
133.08305129961704,
153.9852644023172,
170.1360490429323,
181.3397099848662,
188.5040445307759,
192.8436628130094,
195.39282065578533,
196.8702672653665,
197.72226737160463,
198.2084252636321,
198.4741601801332,
198.5988701465504,
198.62444565690114,
198.57102277769104,
198.4451693671109,
198.24368500837392,
197.95474033882493,
197.55715696720392,
197.01803269204595,
196.28847669502335,
195.29681991267412,
193.9382413740377,
192.05931369145006,
189.43572201403614,
185.74204391429606,
180.5158365011437,
173.12840802700822,
162.79802527768294,
148.72025693862986,
130.41554107690442,
108.30033225319062,
84.15639014766127,
60.852900533879136,
41.12855826202011,
26.361464023998067,
16.368875556713398,
10.088525680231813,
6.323816342247447,
4.123472361361366,
2.8504038382423778,
2.1173935713961622,
1.7019426634295263,
1.4803453455822513,
1.3855442464527614,
1.3827132392895083,
1.455978324199947,
1.601663123522742,
1.8253344077091158,
2.1412169744324525,
2.57336263483564,
3.1584976180952116,
3.9508923939230707,
5.02999996227457,
6.512042696665783,
8.567147103621293,
11.443736497064775,
15.500772617335201,
21.243759364141106,
29.34738950598724,
40.619771309218194,
55.82257560375541,
75.25418469442435,
98.15518946207182,
122.37664596444849,
144.93916610535078,
163.3833564863111,
176.78484551744836,
185.64903907625657,
191.13548489391388,
194.39550109634718,
196.2934495603706,
197.39011561507655,
198.02012819010747,
198.3737381050807,
198.55599700994696,
198.62337902830052,
198.60459681324608,
198.511744185441,
198.3458156073791,
198.0989177000658,
197.754343892829,
197.2849614602386,
196.64986612373315,
195.78885257569638,
194.61384079545448,
192.99595703912203,
190.74658704492248,
187.59080996712578,
183.13339066071785,
176.8238562997264,
167.94364553155933,
155.6708628918898,
139.3173646630074,
118.8122308465959,
95.2866702231122,
71.21560877383357,
49.581469690161676,
32.48431618788559,
20.40615090151176,
12.581135240051996,
7.8024580552191765,
4.983593487378402,
3.3472908872427003,
2.4028916995294503,
1.8622157333895704,
1.5629214405166982,
1.4159602619243816,
1.3739455522591,
1.413481065713576,
1.5258598220151056,
1.7126129333704374,
1.9839572857456627,
2.3591995591453374,
2.868796923707913,
3.5582336084855464,
4.494273040322997,
5.77456276422105,
7.542011531733256,
10.00567351944566,
13.469498555487904,
18.367681619634293,
25.296913788362126,
35.015430790545224,
48.342050568305936,
65.85522476510532,
87.35203727064645,
111.3150356720859,
135.00724609430588,
155.5539637956858,
171.2714268244379,
182.08775504994966,
188.9655911261727,
193.11734125899304,
195.55198436701752,
196.96221047155632,
197.77509781104786,
198.2380847101704,
198.48943981830388,
198.60449286262195,
198.62281101366946,
198.56313879142115,
198.4311131201,
198.22278641549175,
197.9255869924937,
197.51745741852898,
196.9643340766752,
196.21569839411285,
195.19753039697392,
193.80156769426296,
191.86933943506935,
189.16923339721507,
185.36562415519055,
179.982827744842,
172.37763140817734,
161.75892755239644,
147.33269199762958,
128.6712010391802,
106.29444533709443,
82.1021305956009,
59.008907006659584,
39.67586752092071,
25.339325688870485,
15.709152018655248,
9.68679000429422,
6.087262935056121,
3.9862694893811392,
2.771224485978335,
2.0720507594594686,
1.6768392827378509,
1.4680310632305085,
1.3820567279259444,
1.3860979252270038,
1.4655110619824006,
1.6174789729502426,
1.848299048287658,
2.17296198164083,
2.6164598120685247,
3.216786083482004,
4.03000584640679,
5.138176931793497,
6.661340555361979,
8.775209168331791,
11.736234682752997,
15.91443727146235,
21.829214933381685,
30.16930546924662,
41.74867414877556,
57.30954755020081,
77.08415815663862,
100.19924996086263,
124.39834247000626,
146.68924348986644,
164.71741178411602,
177.69920981919495,
186.22839644751372,
191.48430951997312,
194.59974818663852,
196.41168603329317,
197.4582724947716,
198.0589587288067,
198.3948188562096,
198.5656293548521,
198.62487092597553,
198.5995133610479,
198.50055208579326,
198.32817669301676,
198.0737679720851,
197.7198198648607,
197.23818718135976,
196.58657790326583,
195.70280472182733,
194.49589935503204,
192.83275104128245,
190.51856640977246,
187.26961807468345,
182.6787621022729,
176.18115751641835,
167.0452644734961,
154.44811981096427,
137.73177579610214,
116.90610183353411,
93.22242449925935,
69.24558191005714,
47.936133157371785,
31.268797722336593,
19.59290691782415,
12.074247369098096,
7.500185136270314,
4.8073794973532475,
3.2454226887246804,
2.3442649574495364,
1.8290675912307055,
1.545412285971686,
1.408773309261575,
1.374337623910706,
1.4202305242564175,
1.5387365651188396,
1.732152753777243,
2.0114279874411953,
2.39671207401896,
2.9195586362066184,
3.626975970162421,
4.5879196512511635,
5.903241311266908,
7.720548764977171,
10.255720336947945,
13.822329947551951,
18.86729588387177,
26.00188929947045,
35.995503383014885,
49.66177329086204,
67.5365956243041,
89.3222239001349,
113.3801858590126,
136.90797701048385,
157.08681682605015,
172.3708677241871,
182.80731054470908,
189.40764741252337,
193.37884906934474,
195.70392764390783,
197.04995546417038,
197.82547038074182,
198.26625544317798,
198.50375783435078,
198.60943051055546,
198.62062198166518,
198.5547390505536,
198.41651216034543,
198.20125306119874,
197.89564145120653,
197.47672286054677,
196.9092406012783,
196.14099823065288,
195.0955484040212,
193.6610733836567,
191.67389441889387,
188.89487838320386,
184.97793008077156,
179.4339051452898,
171.60516428291803,
160.69220161296056,
145.91404334961183,
126.89920194837599,
104.27478107282606,
80.05594825115774,
57.192960666638015,
38.26015650597826,
24.351567841704576,
15.075436592718738,
9.3023304479011
],
"z": [
93.01683401571081,
92.28999625762218,
91.61503790380682,
91.00036181907221,
90.45389638447323,
89.9830484281842,
89.5946776444611,
89.29508904967437,
89.09003830135333,
88.98474330396007,
88.9838945022791,
89.09165566745251,
89.31164686812903,
89.6469017718295,
90.09979255466108,
90.6719176519517,
91.36395049711898,
92.17545135671882,
93.10464933600706,
94.14820735220307,
95.30098882022578,
96.55585012299073,
97.90348653707188,
99.33235994432334,
100.82873334510761,
102.37682938602319,
103.95911815701741,
105.5567247430776,
107.1499316790534,
108.71873827381802,
110.24343028470574,
111.70511131453549,
113.0861519171118,
114.37052266632088,
115.54399123267336,
116.59417824161966,
117.51048002297098,
118.28387671960627,
118.90665100823934,
119.37204621540307,
119.67389386075689,
119.80624090495344,
119.76300746631942,
119.53770743018816,
119.12326758819509,
118.511985329974,
117.69566910751661,
116.66600738233241,
115.41520681691127,
113.93692444574779,
112.22748685945534,
110.28733937445867,
108.12260176147876,
105.7465341298911,
103.18065613188467,
100.45524100417866,
97.60894846402202,
94.68747867425319,
91.74130875465323,
88.82276968129906,
85.98287405151844,
83.2683616787032,
80.71937129360892,
78.36799640029815,
76.23779543354401,
74.3441590980096,
72.69533047606421,
71.29383691977112,
70.13811398612731,
69.22415650349998,
68.5470962927015,
68.10266279112916,
67.88852229747026,
67.90550991771501,
68.15876443466261,
68.65874953845794,
69.42209393179768,
70.47210694512029,
71.83872824686532,
73.5575624346109,
75.66756274280372,
78.20692205586896,
81.2068942936473,
84.68370661492858,
88.62948085335607,
93.00404157977025,
97.73025544316745,
102.69550828589655,
107.76060134383998,
112.774923813952,
117.59431218836811,
122.09693143002663,
126.19346332064283,
129.8302330170926,
132.98627708803554,
135.66669378398953,
137.89472173993474,
139.70431957688166,
141.13414781584527,
142.22315725198234,
143.00757610346938,
143.51891662138183,
143.78259802587695,
143.81682810390092,
143.63145415301824,
143.22656826772902,
142.59073730596182,
141.69884554011082,
140.509721957442,
138.9640164595671,
136.98322740669926,
134.47136724663343,
131.32137283900246,
127.42867184437274,
122.71357569035541,
117.15136160847142,
110.80353054752847,
103.83755311129892,
96.52061960452284,
89.18106514485024,
82.14771490389981,
75.69072760230317,
69.9859818401941,
65.11031240336605,
61.059745987573564,
57.77698002606194,
55.17718610202934,
53.16705971166553,
51.656571629859826,
50.56500996720138,
49.82332322620026,
49.37442785297348,
49.17263140310668,
49.18289837256902,
49.3804060466459,
49.750679288008406,
50.29051213274186,
51.00983420935206,
51.934612101916,
53.11072943094538,
54.608484034903334,
56.52677211173537,
58.99508718575135,
62.170107924892626,
66.22214614850283,
71.30612744656597,
77.5144871109441,
84.81854055743396,
93.02031934436896,
101.74818096319494,
110.5181357241906,
118.84447747365078,
126.34759697219332,
132.8103938304074,
138.17288217819964,
142.4886834887489,
145.87389092657085,
148.46672320012934,
150.40265215582434,
151.80223334669293,
152.76702894195978,
153.37979960298924,
153.70649205534082,
153.7986367469589,
153.6954504145178,
153.42529940172895,
153.0063392425988,
152.44619505699222,
151.7405484829187,
150.87050013815642,
149.79863622317995,
148.4639184546875,
146.77594640846823,
144.6099573026391,
141.8052874230112,
138.1719520603375,
133.511987101473,
127.66228541865819,
120.5597204961295,
112.31321384729856,
103.24555775047651,
93.86212332762064,
84.7379424025282,
76.37309984625875,
69.09103035699515,
63.017676037595585,
58.123837861260405,
54.28916849385929,
51.357023732072015,
49.16956846929723,
47.58533386922934,
46.4853254833033,
45.7730638286881,
45.372057299660526,
45.22262714558078,
45.2790137681975,
45.50717097584889,
45.883422713463275,
46.39408326628141,
47.03614437492558,
47.81915726970234,
48.768437708528566,
49.92963946848369,
51.37449002195472,
53.20693346023446,
55.56790950121575,
58.63534744904886,
62.61371837688877,
67.70554020512492,
74.05838644710036,
81.69039598472428,
90.4182438842945,
99.83352231792641,
109.36735446568662,
118.43136548944078,
126.56396210258407,
133.50830656709576,
139.20426009651865,
143.72889783649657,
147.22944536630686,
149.873142289526,
151.81848352504386,
153.20268219403533,
154.13868970876294,
154.71679952715175,
155.00788907004724,
155.06679815058277,
154.9351678156864,
154.6434655094817,
154.21208086411934,
153.65140932741025,
152.9608191720946,
152.12636943733588,
151.1171592341354,
149.88030712961728,
148.33488104107556,
146.36576771509164,
143.81966970141733,
140.5072939670751,
136.21816218325463,
130.75601605653551,
123.99987177044748,
115.98279442034858,
106.9565916882723,
97.39270969151202,
87.88942125214678,
79.01751204713736,
71.18597030570298,
64.59006263570033,
59.24048398309988,
55.030435726370584,
51.80014652008577,
49.38093227340161,
47.61850288133748,
46.38192883657433,
45.564712918892205,
45.082358205840826,
44.86889123599231,
44.87353752667784,
45.05806434151589,
45.39499217403575,
45.86676652779374,
46.465972466805724,
47.196704258926445,
48.07722568633769,
49.144023223621836,
50.45719202460227,
52.10669346377805,
54.21822549152513,
56.95606518797025,
60.5181735795904,
65.11648589272328,
70.93448995299816,
78.05933806289649,
86.40224589358468,
95.64601945358618,
105.26926490551607,
114.66304795933573,
123.28924085985666,
130.79625157066764,
137.04563623833286,
142.06712939729937,
145.98871655482213,
148.97673795765996,
151.19795434367586,
152.80095078814006,
153.90996925217112,
154.6251953664443,
155.0256912956048,
155.1729341215105,
155.11400292242658,
154.8840176411562,
154.50767567160653,
153.99980537506494,
153.36484843924129,
152.5951500769654,
151.66792229840755,
150.54080524775875,
149.14616603307365,
147.38476621876566,
145.12036798816447,
142.17841938317613,
138.35419024699726,
133.43795800494078,
127.26459698168846,
119.78711469365679,
111.15382734949128,
101.74445641526924,
92.11958647944503,
82.88477221133857,
74.53562453903514,
67.36455444863174,
61.45763574105695,
56.75116714119203,
53.101417936839745,
50.338927768217964,
48.300583096850715,
46.84411608585468,
45.85199583878863,
45.23011803078931,
44.90455375106862,
44.81803785128166,
44.92695757764786,
45.19914748126578,
45.61261198865574,
46.155252805939256,
46.825697388895655,
47.63535705224719,
48.611843382401396,
49.80377944473951,
51.28676668794204,
53.1696737846931,
55.5993197578968,
58.75986127038796,
62.86084568482371,
68.10598151806647,
74.63638048388054,
82.45289720388195,
91.34489005590936,
100.87421156160244,
110.45204626882455,
119.48860780686155,
127.53803695045676,
134.36703351554064,
139.9371696844943,
144.34051176544546,
147.73226139228376,
150.2825065391142,
152.14959649750483,
153.46918471740517,
154.35219393675817,
154.88689977844464,
155.14237170568384,
155.17189970440708,
155.01580644144238,
154.70340932775832,
154.2540331513133,
153.67699488410375,
152.97045517760125,
152.11900265013278,
151.08985503838096,
149.82769252957343,
148.2484852711006,
146.23338802872985,
143.62503729344633,
140.2305378241872,
135.83782242572536,
130.2534316154514,
123.36616495200387,
115.22684496058797,
106.10981072655883,
96.50574851799962,
87.02004066095135,
78.21547472696713,
70.48303299078364,
63.99851532925164,
58.75778867494784,
54.64558066209341,
51.49883602915858,
49.14879828547364,
47.44266963698558,
46.251542367676564,
45.47093515986929,
45.01813869509959,
44.828684306521694,
44.85304529149327,
45.05404060397309,
45.405122731168156,
45.88963540964379,
46.501124295129706,
47.24481546322908,
48.140397664507596,
49.22620338476313,
50.56470599820947,
52.24882157498312,
54.407662511986096,
57.20894766867627,
60.85314615927454,
65.55208738401397,
71.48424258092078,
78.72482774060425,
87.16650452074488,
96.47159985088057,
106.10464022012651,
115.45583000159981,
123.99927374952111,
131.40199023020233,
137.5427762156619,
142.46300893295754,
146.29640201940035,
149.21076683848023,
151.3719679741194,
152.9267004516925,
153.9971085464486,
154.6814398832593,
155.05710382448564,
155.18421432176683,
155.10872773980392,
154.86481085597433,
154.47629719991497,
153.95715305674722,
153.3108628376146,
152.52861029351521,
151.5861220405021,
150.4391090703166,
149.01747453320007,
147.2189788118048,
144.90403915959234,
141.8949722507017,
137.98526276490404,
132.9665919096965,
126.68070237982528,
119.09444060669456,
110.37549061650832,
100.92254938439058,
91.30642971148843,
82.12914766756715,
73.87143422784716,
66.80704621317808,
61.006514070623076,
56.396582022075634,
52.829433475897794,
50.13512925946132,
48.151922957245574,
46.73958579335501,
45.78266901449286,
45.18892330073167,
44.88597372622195,
44.817828088637704,
44.94192518540071,
45.227004718925755,
45.65191213555103,
46.2054154265892,
46.88713291912407,
47.70970258561234,
48.702318346839654,
49.915655194630844,
51.42790821982953,
53.351040988470054,
55.8351933673004,
59.06737626172095,
63.2582081998858,
68.6086822865291,
75.25119879379642,
83.17099545028161,
92.13753268472857,
101.6954485419704,
111.24941070263577,
120.21690659297515,
128.16879894588723,
134.89004540640838,
140.3561287418218,
144.66693988967197,
147.9805191075263,
150.46673817336267,
152.28228623239076,
153.56071529450946,
154.41091185280138,
154.9193800024831,
155.15372083811064,
155.16602344192194,
154.99561117543027,
154.67092624084998,
154.21045830884728,
153.6226376821068,
152.9045845485848,
152.0395793871263,
150.9931441748527,
149.70776900843646,
148.09668989059966,
146.03787370177227,
143.37068398805246,
139.89971004177391,
135.41263489950896,
129.72015318633717,
122.72166863526613,
114.48521683832263,
105.30509615224094,
95.68694178142628,
86.23884758128628,
77.51305316546366,
69.88263014860188,
63.505918893214975,
58.366544839876866,
54.34296477638551,
51.270320490747324,
48.98060713926788,
47.32288611119274,
46.17036865467577,
45.420548313660994,
44.99240342063398,
44.82285437178254,
44.86351208429531,
45.07815192764775,
45.44108104456267,
45.9364818726968,
46.55881700480308,
47.314413091152,
48.22435949095,
49.32880825436875,
50.69256802674034,
52.41142764955099,
54.617760053764684,
57.48245621908995,
61.20806140271018,
66.00568452600119,
72.04805473255954,
79.39787191176354,
87.92926601879678,
97.28511901390694,
106.9178059224767,
116.21866401027248,
124.67512543723707,
131.97269880726878,
138.00650350402208,
142.82846973347537,
146.57717169088616,
149.42134916201925,
151.52569593216737,
153.03491485712942,
154.06904411395485,
154.72442775477276,
155.07687110547067,
155.1851736950052,
155.09421125771172,
154.83723020877608,
154.43722281870612,
153.90730544254333,
153.25000690116374,
152.45534107849576,
151.49753205228572,
150.3303393697069,
148.88118271786485,
147.0448200016893,
144.67836738619567,
141.60114089644037,
137.60511102245937,
132.48381527866974,
126.08646467638043,
118.39428969127883,
109.59444641167724,
100.10393216297528,
90.50245107577479,
81.3871408044267,
73.22318613794513,
66.26583786735274,
60.570697819654306,
56.055620179141656,
52.569193517503834,
49.941282895648406,
48.011635867005914,
46.64209687698863,
45.71928779179324,
45.15278511730776,
44.871735638629396,
44.821391479908016,
44.96022082833871,
45.25785393154968,
45.69397076674129,
46.25820779792759,
46.95118576231586,
47.78679072071157,
48.79582994371072,
50.03106840460385,
51.57333277708652,
53.53770394966892,
56.07762115302508,
59.38283882034394,
63.66478852177205,
69.12130008660856,
75.87547032346318,
83.89640936311575,
92.93363827000626,
102.51528138601762,
112.04071737283982,
120.93580685357472,
128.78857097665565,
135.40199261187976,
140.76491729551554,
144.98453265734207,
148.22135658558818,
150.64485257140606,
152.40997415006447,
153.6481609156903,
154.46628119147863,
154.94909478972016,
155.16276111158606,
155.15819021824103,
154.97372161206414,
154.63693060886177,
154.1654724177343,
153.56688293101408,
152.83722482356396,
151.9584433402369,
150.894327850581,
149.58513468528548,
147.94132346145483,
145.83765004013964,
143.11023317782252,
139.5612761538165,
134.9785030377163,
129.1772468141413,
122.06811440606742,
113.73679664875426,
104.49744451475473,
94.86980764830341,
85.46347480961234,
76.81920645499694,
69.29192137788026,
63.022830826918344,
57.98385519238221,
54.04764357623119,
51.04782897298791,
48.81730307926201,
47.2070354472185,
46.0923553705009,
45.37270968935591,
44.968737829963224,
44.81872504133042,
44.87540103276893,
45.103485295007665,
45.478134425321954,
45.98437204547206,
46.6175886908435,
47.38523210278298,
48.30982294465077,
49.43337303255781,
50.823072111487775,
52.577623101907264,
54.832675365720405,
57.76224570052153,
61.570792523742526,
66.4683659065276,
72.62142572420579,
80.0795632344731,
88.69803896196792,
98.10058240608461,
107.72839651147414,
116.97514433215201,
125.34234375661788,
132.53405486616356,
138.46130480012988,
143.18604917479252,
146.85130919935042,
149.62650816542828,
151.67505779886145,
153.13963813742555,
154.13819018859428,
154.76517826185292,
155.0948296937907,
155.18465212820266,
155.07845741422096,
154.80858168426818,
154.39717884125292,
153.85651035712746,
153.18813574800396,
152.38087556614286,
151.4074176713048,
150.2195275457228,
148.74209501990444,
146.86683785956382,
144.44756687362937,
141.30066829000606,
137.21680250105598,
131.99175422570954,
125.48276734196422,
117.68601933767255,
108.80833897049287,
99.28453219493221,
89.70209620640907,
80.65216199511126,
72.58379714604003,
65.73384750207745,
60.14346239151883,
55.72211450968432,
52.31516369508677,
49.75248175791245,
47.875394117004916,
46.54783483149746,
45.65848156646706,
45.118711412603666,
44.8591675041485,
44.826325296692524,
44.97966747507065,
45.289706741179764,
45.73695684106088,
46.31193000840887,
47.016265720472525,
47.86512442252822,
48.89096315262444,
50.148681347235446,
51.72178306715639,
53.72849838766989,
56.325554961724634,
59.705350274278445,
64.079878574173,
69.64336239591972,
76.50900499379142,
84.62928316918546,
93.7337431268792,
103.33468329968912,
112.82736797932778,
121.64705078589265,
129.39928846872,
135.90484904182205,
141.16542819981564,
145.29503156704092,
148.45633554890398,
150.81823065246158,
152.53387389691426,
153.73258743647116,
154.5192405836424,
154.97687482070646,
155.17023228856587,
155.14906344237772,
154.95073699626485,
154.60196751551646,
154.1195743872477,
153.51018943113576,
152.76879883665887,
151.87598351137444,
150.79376124652433,
149.46010879645897,
147.78266534996413,
145.63295188814317,
142.8438721336558,
139.2153782529473,
134.5355358888967,
128.62481091072513,
121.40561229189726,
112.98170441360251,
103.68693968892057,
94.05431535669042,
84.69371423709836,
76.13354387938953,
68.71038334064767,
62.54866639657006,
57.60913469786573,
53.759070170528936,
50.8308704121502,
48.65845475023683,
47.09474251683384,
46.01717706625163,
45.32713629126843,
44.946894621445146,
44.816078876155046,
44.888519788968416,
45.129869740658044,
45.51613062326102,
46.03317076887345,
46.677320745557225,
47.457171053282615,
48.396705547710184,
49.53983711397865,
50.956183109150444,
52.74740146642731,
55.052431366102084,
58.04836298009373,
61.94139383363088,
66.94016175671513,
73.20431827601647,
80.76975970020605,
89.4725771191093,
98.91769843726097,
108.53617099301636,
117.7251582485674,
126.00096395363605,
133.08620938196555,
138.90739491033239,
143.53598087923345,
147.1190385094728,
149.82644453605866,
151.82022700705954,
153.24101753275002,
154.20467095116825,
154.80379612830723,
155.11106817559065,
155.18272480278205,
155.06153003197102,
154.77891907379387,
154.35620960803678,
153.8048024705575,
153.125273281324,
152.30522484831297,
151.31577419222998,
150.10664939046185,
148.60016397478972,
146.68495933833645,
144.21154083059574,
140.99344420104464,
136.82023750539105,
131.49035998147667,
124.86966228817704,
116.96981729671334,
108.01747876165737,
98.46470818588546,
88.9056696553716,
79.9243893072682,
71.95330695742544,
65.21101041688743,
59.72468604349551,
55.39592475313092,
52.06720857143991,
49.56860603288315,
47.74309657324618,
46.456716376207645,
45.60018257566986,
45.08664733377463,
44.8482250640026,
44.83259407437034,
45.00023725101676,
45.32254229362923,
45.780856636149956,
46.36657633096487,
47.082376762838365,
47.944719953780215,
48.98774996521277,
50.26854567928522,
51.87333396363899,
53.923523735273704,
56.5791147030681,
60.03503674918584,
64.50358119183771,
70.17490309051267,
77.15171730705643,
85.36938554178153,
94.53749989208133,
104.15327885525988,
113.60906052362365,
122.35046909178176,
130.00091371952487,
136.39866966171127,
141.5577637434509,
145.59855223088576,
148.6855655321132,
150.986967496058,
152.65406415936198,
153.81405827454552,
154.56984038957373,
155.00275970263053,
155.17616518160253,
155.13866657474006,
154.92667429891074,
154.56604768370013,
154.0727682565955,
153.45255334549853,
152.6992928402664,
151.79217332835023,
150.69140128976113,
149.33262779151352,
147.6206283585231,
145.42366821381992,
142.57147245150992,
138.8618887506001,
134.0836411611054,
128.06283769534554,
120.73428680887378,
112.22021103756539,
102.87395157409537,
93.2408359615531,
83.92984289621512,
75.45620519602203,
68.13803250630389,
62.083361744406076,
57.24228221920158,
53.47713597124073,
50.619344708582204,
48.50397680317938,
46.98593763365942,
45.94477823435995,
45.283784563326854,
44.92684002215768,
44.81489011953225,
44.90284937634964,
45.15729241588155,
45.55506289274153,
46.08287806682726,
46.738021404874544,
47.53024868849029,
48.48503971786445,
49.648250425337395,
51.09197236362735,
52.92085812845182,
55.27714627244513,
58.34093995773914,
62.31998856900483,
67.42114746174228,
73.79670860106901,
81.46829599736346,
90.25257448288761,
99.7360847634113,
109.34077407407474,
118.46846215296314,
126.650880567346,
133.62916998824602,
139.34484939833308,
143.87836829345346,
147.38046517438846,
150.02125308916658,
151.9612831846061,
153.33911743004646,
154.26853733015193,
154.84032106860252,
155.12561711347317,
155.17941474374558,
155.04344566582324,
154.74825293681744,
154.31431951716627,
153.7521791424282,
153.06140814644144,
152.22836631280265,
151.22256436402807,
149.99164907059674,
148.45531143106948,
146.4990820740315,
143.97016557860866,
140.67933584936026,
136.4153009219346,
130.97957864032182,
124.24720860712529,
116.24588980852121,
107.22220163437628,
97.64484611401713,
88.11350324894835,
79.20402950830533,
71.3317870963531,
64.69729662688721,
59.31428284307342,
55.076945504036225,
51.825225161033785,
49.38956526169109,
47.61466822937792,
46.36868132395616,
45.54434345242313,
45.05655610199356,
44.83888017549474,
44.84017683871881,
45.021915443556715,
45.35635183464398,
45.8256677098028,
46.4221517228246,
47.149533154591346,
48.025603669683974,
49.08623240427967,
50.390723083505605,
52.028070253832226,
54.122888834703495,
56.83842835532926,
60.37202968653168,
64.9359998920493,
70.71595046485557,
77.80351004472944,
86.11647053650503,
95.3445490943029,
104.97068675345702,
114.38549239441573,
123.04589290762729,
130.59340693022696,
136.8835038110698,
141.94201797144893,
145.89520083797026,
148.9091466102353,
151.1511493410589,
152.77061567322397,
153.89262982830385,
154.61812480963317,
155.0267836257448,
155.1805858025809,
155.1270187681874,
154.90154656015056,
154.52917817126826,
154.02505455640255,
153.39396737508844,
152.6286895617033,
151.70698253002874,
150.5872009844213,
149.20262396779904,
147.4551210649867,
145.2096841157259,
142.2929030548161,
138.5006799167684
]
}
],
"layout": {
"margin": {
"b": 0,
"l": 0,
"r": 0,
"t": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"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": {
"font": {
"size": 25
},
"text": "Noisy Neural Activations",
"x": 0.1,
"xanchor": "center",
"y": 0.5,
"yanchor": "top"
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# make 3d plot with plotly of the noisy points\n",
"\n",
"# x = noisy_points[:, 0]\n",
"# y = noisy_points[:, 1]\n",
"# z = noisy_points[:, 2]\n",
"\n",
"x = manifold_points[:, 0]\n",
"y = manifold_points[:, 1]\n",
"z = manifold_points[:, 2]\n",
"\n",
"scatter = go.Scatter3d(x=x, y=y, z=z, mode=\"markers\", marker=dict(size=5))\n",
"\n",
"fig = go.Figure(data=[scatter])\n",
"\n",
"fig.update_layout(\n",
" title={\n",
" \"text\": \"Noisy Neural Activations\",\n",
" \"y\": 0.5,\n",
" \"x\": 0.1,\n",
" \"xanchor\": \"center\",\n",
" \"yanchor\": \"top\",\n",
" \"font\": dict(size=25),\n",
" },\n",
" # scene=dict(\n",
" # aspectmode=\"cube\",\n",
" # xaxis=dict(range=[-1.2, 1.2], title=\"Feature 1\"),\n",
" # yaxis=dict(range=[-1.2, 1.2], title=\"Feature 2\"),\n",
" # zaxis=dict(range=[-1.2, 1.2], title=\"Feature 3\"),\n",
" # ),\n",
" margin=dict(l=0, r=0, b=0, t=0),\n",
")\n",
"\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"# from gtda.homology import WeakAlphaPersistence, VietorisRipsPersistence\n",
"# from gtda.diagrams import PairwiseDistance\n",
"# from gtda.plotting import plot_diagram, plot_heatmap\n",
"# import neurometry.datasets.synthetic as synthetic\n",
"# import time\n",
"\n",
"# homology_dimensions = (\n",
"# 0,\n",
"# 1,\n",
"# 2,\n",
"# )\n",
"# VR = VietorisRipsPersistence(\n",
"# metric=\"cosine\", homology_dimensions=homology_dimensions, coeff=47\n",
"# )\n",
"\n",
"\n",
"# gtda_start = time.time()\n",
"# gtda_vr_diagrams = VR.fit_transform([manifold_points])\n",
"# gtda_end = time.time()\n",
"# print(\n",
"# f\"Time to compute Vietoris-Rips persistence diagrams in giotto-tda: {gtda_end - gtda_start:.2f}\"\n",
"# )\n",
"\n",
"\n",
"# fig = plot_diagram(\n",
"# gtda_vr_diagrams[-1],\n",
"# plotly_params={\n",
"# \"title\": \"Vietoris-Rips Persistence Diagram, Van der Pol Oscillator\"\n",
"# },\n",
"# )\n",
"# fig.update_layout(title=\"Vietoris-Rips Persistence Diagram, Van der Pol Oscillator\")"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"# from gtda.homology import WeightedRipsPersistence\n",
"\n",
"# homology_dimensions = (\n",
"# 0,\n",
"# 1,\n",
"# 2,\n",
"# )\n",
"\n",
"# WR = WeightedRipsPersistence(\n",
"# metric=\"cosine\", homology_dimensions=homology_dimensions, coeff=47\n",
"# )\n",
"\n",
"# gtda_start = time.time()\n",
"\n",
"# gtda_wr_diagrams = WR.fit_transform([manifold_points])\n",
"# gtda_end = time.time()\n",
"\n",
"# print(\n",
"# f\"Time to compute Weighted-Rips persistence diagrams in giotto-tda: {gtda_end - gtda_start:.2f}\"\n",
"# )\n",
"\n",
"# fig = plot_diagram(\n",
"# gtda_wr_diagrams[-1],\n",
"# plotly_params={\n",
"# \"title\": \"Weighted-Rips Persistence Diagram, Van der Pol Oscillator\"\n",
"# },\n",
"# )\n",
"\n",
"# fig.update_layout(title=\"Weighted-Rips Persistence Diagram, Van der Pol Oscillator\")"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "neurometry",
"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": "3.11.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}