fig1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%reload_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import os\n",
    "import baobap as bao\n",
    "import networkx as nx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "from src.analysis import detect_clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.gridspec as gridspec\n",
    "from matplotlib.ticker import ScalarFormatter\n",
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "matplotlib.use(\"nbAgg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# use the same colours as in the phase space plot\n",
    "cmap = plt.get_cmap(\"Accent\")\n",
    "bounds = [-1, 0, 1, 2, 3]\n",
    "norm = matplotlib.colors.BoundaryNorm(bounds, cmap.N)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "matplotlib.style.use(\"ggplot\") # fivethirtyeight\n",
    "matplotlib.rc('ytick', **{'labelsize': 20})\n",
    "matplotlib.rc('xtick', **{'labelsize': 20}) \n",
    "matplotlib.rc('axes', **{'linewidth': 1, 'edgecolor': 'k'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# simulation data\n",
    "simdir = \"simulation_data/resubmission/northern/cp_1_PK_0p056_D2KH_0p010/\"\n",
    "result_file = os.path.join(simdir, \"results_ASBS.hdf\")\n",
    "af = bao.load_field_from_results(result_file, \"asymptotic_frequencies\")\n",
    "_, ana = bao.load_state_for_analysis(os.path.join(simdir, \"analysis.p\"))\n",
    "\n",
    "# number of nodes\n",
    "n = ana[3].system_size\n",
    "# range of phase shift \\alpha\n",
    "alphas = ana[1]\n",
    "  \n",
    "g = nx.Graph(np.abs(ana[3].phase_coupling))\n",
    "g.remove_edges_from(nx.selfloop_edges(g))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "def omega_sol(run):\n",
    "    return (ana[3].input_power / ana[3].damping_coupling) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 sync (1, array([236]))\n",
      "1 sync (1, array([236]))\n",
      "2 exotic (2, array([235,   1]))\n",
      "3 sync (1, array([236]))\n",
      "4 sync (1, array([236]))\n",
      "5 sync (1, array([236]))\n",
      "6 other (8, array([224,   2,   1,   3,   1,   3,   1,   1]))\n",
      "7 sync (1, array([236]))\n",
      "8 sync (1, array([236]))\n",
      "9 sync (1, array([236]))\n",
      "10 soli (2, array([235,   1]))\n",
      "11 other (3, array([231,   4,   1]))\n",
      "12 sync (1, array([236]))\n",
      "13 sync (1, array([236]))\n",
      "14 sync (1, array([236]))\n",
      "15 sync (1, array([236]))\n",
      "16 other (40, array([162,   1,   1,   1,   1,   2,   1,   4,   2,   1,   2,   3,   5,\n",
      "         3,   3,   2,   1,   2,   3,   1,   1,   1,   1,   1,   1,   1,\n",
      "         4,   2,   1,   2,   4,   1,   1,   2,   1,   1,   1,   5,   1,\n",
      "         3]))\n",
      "17 other (3, array([233,   1,   2]))\n",
      "18 sync (1, array([236]))\n",
      "19 sync (1, array([236]))\n",
      "20 sync (1, array([236]))\n",
      "21 sync (1, array([236]))\n",
      "22 other (3, array([233,   2,   1]))\n",
      "23 sync (1, array([236]))\n",
      "24 sync (1, array([236]))\n",
      "25 sync (1, array([236]))\n",
      "26 soli (2, array([235,   1]))\n",
      "27 soli (2, array([235,   1]))\n",
      "28 sync (1, array([236]))\n",
      "29 sync (1, array([236]))\n",
      "30 sync (1, array([236]))\n",
      "31 sync (1, array([236]))\n",
      "32 sync (1, array([236]))\n",
      "33 sync (1, array([236]))\n",
      "34 sync (1, array([236]))\n",
      "35 sync (1, array([236]))\n",
      "36 soli (2, array([235,   1]))\n",
      "37 other (13, array([214,   1,   4,   4,   1,   1,   1,   2,   1,   1,   1,   1,   4]))\n",
      "38 sync (1, array([236]))\n",
      "39 sync (1, array([236]))\n",
      "40 sync (1, array([236]))\n",
      "41 sync (1, array([236]))\n",
      "42 sync (1, array([236]))\n",
      "43 exotic (2, array([235,   1]))\n",
      "44 sync (1, array([236]))\n",
      "45 sync (1, array([236]))\n",
      "46 sync (1, array([236]))\n",
      "47 sync (1, array([236]))\n",
      "48 sync (1, array([236]))\n",
      "49 sync (1, array([236]))\n",
      "50 exotic (2, array([235,   1]))\n",
      "51 sync (1, array([236]))\n",
      "52 other (3, array([231,   4,   1]))\n",
      "53 other (4, array([232,   2,   1,   1]))\n",
      "54 sync (1, array([236]))\n",
      "55 sync (1, array([236]))\n",
      "56 sync (1, array([236]))\n",
      "57 sync (1, array([236]))\n",
      "58 sync (1, array([236]))\n",
      "59 sync (1, array([236]))\n",
      "60 sync (1, array([236]))\n",
      "61 other (16, array([208,   3,   3,   3,   1,   3,   1,   1,   2,   1,   3,   1,   1,\n",
      "         1,   3,   1]))\n",
      "62 sync (1, array([236]))\n",
      "63 soli (2, array([235,   1]))\n",
      "64 sync (1, array([236]))\n",
      "65 sync (1, array([236]))\n",
      "66 sync (1, array([236]))\n",
      "67 sync (1, array([236]))\n",
      "68 sync (1, array([236]))\n",
      "69 sync (1, array([236]))\n",
      "70 other (27, array([190,   1,   8,   1,   1,   1,   4,   2,   2,   2,   1,   2,   1,\n",
      "         1,   2,   2,   1,   2,   1,   1,   1,   3,   2,   1,   1,   1,\n",
      "         1]))\n",
      "71 sync (1, array([236]))\n",
      "72 2-soli (3, array([234,   1,   1]))\n",
      "73 sync (1, array([236]))\n",
      "74 soli (2, array([235,   1]))\n",
      "75 sync (1, array([236]))\n",
      "76 sync (1, array([236]))\n",
      "77 exotic (2, array([235,   1]))\n",
      "78 soli (2, array([235,   1]))\n",
      "79 sync (1, array([236]))\n",
      "80 other (3, array([233,   1,   2]))\n",
      "81 sync (1, array([236]))\n",
      "82 sync (1, array([236]))\n",
      "83 sync (1, array([236]))\n",
      "84 sync (1, array([236]))\n",
      "85 sync (1, array([236]))\n",
      "86 sync (1, array([236]))\n",
      "87 sync (1, array([236]))\n",
      "88 sync (1, array([236]))\n",
      "89 sync (1, array([236]))\n",
      "90 sync (1, array([236]))\n",
      "91 sync (1, array([236]))\n",
      "92 sync (1, array([236]))\n",
      "93 exotic (2, array([235,   1]))\n",
      "94 sync (1, array([236]))\n",
      "95 4-soli (5, array([232,   1,   1,   1,   1]))\n",
      "96 exotic (2, array([235,   1]))\n",
      "97 sync (1, array([236]))\n",
      "98 sync (1, array([236]))\n",
      "99 sync (1, array([236]))\n",
      "100 sync (1, array([236]))\n",
      "101 sync (1, array([236]))\n",
      "102 other (12, array([219,   2,   1,   1,   3,   1,   1,   2,   1,   2,   2,   1]))\n",
      "103 other (3, array([233,   1,   2]))\n",
      "104 sync (1, array([236]))\n",
      "105 sync (1, array([236]))\n",
      "106 sync (1, array([236]))\n",
      "107 sync (1, array([236]))\n",
      "108 exotic (2, array([235,   1]))\n",
      "109 sync (1, array([236]))\n",
      "110 sync (1, array([236]))\n",
      "111 soli (2, array([235,   1]))\n",
      "112 sync (1, array([236]))\n",
      "113 sync (1, array([236]))\n",
      "114 sync (1, array([236]))\n",
      "115 sync (1, array([236]))\n",
      "116 sync (1, array([236]))\n",
      "117 3-soli (4, array([233,   1,   1,   1]))\n",
      "118 soli (2, array([235,   1]))\n",
      "119 2-soli (3, array([234,   1,   1]))\n",
      "120 sync (1, array([236]))\n",
      "121 soli (2, array([235,   1]))\n",
      "122 soli (2, array([235,   1]))\n",
      "123 sync (1, array([236]))\n",
      "124 sync (1, array([236]))\n",
      "125 sync (1, array([236]))\n",
      "126 sync (1, array([236]))\n",
      "127 soli (2, array([235,   1]))\n",
      "128 other (6, array([205,   1,  27,   1,   1,   1]))\n",
      "129 sync (1, array([236]))\n",
      "130 sync (1, array([236]))\n",
      "131 sync (1, array([236]))\n",
      "132 soli (2, array([235,   1]))\n",
      "133 soli (2, array([235,   1]))\n",
      "134 exotic (2, array([235,   1]))\n",
      "135 sync (1, array([236]))\n",
      "136 sync (1, array([236]))\n",
      "137 exotic (2, array([235,   1]))\n",
      "138 sync (1, array([236]))\n",
      "139 2-soli (3, array([234,   1,   1]))\n",
      "140 other (8, array([225,   1,   1,   3,   1,   1,   3,   1]))\n",
      "141 sync (1, array([236]))\n",
      "142 sync (1, array([236]))\n",
      "143 sync (1, array([236]))\n",
      "144 sync (1, array([236]))\n",
      "145 soli (2, array([235,   1]))\n",
      "146 sync (1, array([236]))\n",
      "147 sync (1, array([236]))\n",
      "148 other (19, array([209,   1,   3,   3,   1,   1,   1,   1,   1,   1,   1,   1,   1,\n",
      "         1,   4,   1,   1,   3,   1]))\n",
      "149 sync (1, array([236]))\n",
      "150 sync (1, array([236]))\n",
      "151 soli (2, array([235,   1]))\n",
      "152 sync (1, array([236]))\n",
      "153 sync (1, array([236]))\n",
      "154 sync (1, array([236]))\n",
      "155 soli (2, array([235,   1]))\n",
      "156 sync (1, array([236]))\n",
      "157 sync (1, array([236]))\n",
      "158 2-soli (3, array([234,   1,   1]))\n",
      "159 sync (1, array([236]))\n",
      "160 2-soli (3, array([234,   1,   1]))\n",
      "161 sync (1, array([236]))\n",
      "162 sync (1, array([236]))\n",
      "163 sync (1, array([236]))\n",
      "164 sync (1, array([236]))\n",
      "165 sync (1, array([236]))\n",
      "166 sync (1, array([236]))\n",
      "167 exotic (2, array([235,   1]))\n",
      "168 other (10, array([217,   2,   2,   1,   2,   3,   2,   2,   2,   3]))\n",
      "169 sync (1, array([236]))\n",
      "170 sync (1, array([236]))\n",
      "171 exotic (2, array([235,   1]))\n",
      "172 sync (1, array([236]))\n",
      "173 soli (2, array([235,   1]))\n",
      "174 soli (2, array([235,   1]))\n",
      "175 sync (1, array([236]))\n",
      "176 other (19, array([206,   1,   1,   2,   3,   2,   1,   1,   1,   2,   2,   1,   2,\n",
      "         2,   1,   1,   1,   5,   1]))\n",
      "177 other (9, array([222,   1,   1,   1,   1,   1,   1,   2,   6]))\n",
      "178 sync (1, array([236]))\n",
      "179 sync (1, array([236]))\n",
      "180 sync (1, array([236]))\n",
      "181 soli (2, array([235,   1]))\n",
      "182 other (18, array([206,   1,   1,   2,   2,   2,   4,   1,   2,   3,   1,   1,   1,\n",
      "         1,   1,   1,   1,   5]))\n",
      "183 sync (1, array([236]))\n",
      "184 sync (1, array([236]))\n",
      "185 sync (1, array([236]))\n",
      "186 sync (1, array([236]))\n",
      "187 other (12, array([219,   1,   1,   2,   1,   1,   1,   2,   2,   1,   2,   3]))\n",
      "188 sync (1, array([236]))\n",
      "189 soli (2, array([235,   1]))\n",
      "190 exotic (2, array([235,   1]))\n",
      "191 other (14, array([208,   2,   2,   3,   1,   6,   2,   1,   1,   1,   2,   2,   4,\n",
      "         1]))\n",
      "192 sync (1, array([236]))\n",
      "193 sync (1, array([236]))\n",
      "194 sync (1, array([236]))\n",
      "195 sync (1, array([236]))\n",
      "196 exotic (2, array([235,   1]))\n",
      "197 other (16, array([208,   4,   2,   2,   2,   1,   3,   1,   2,   1,   1,   1,   1,\n",
      "         1,   5,   1]))\n",
      "198 other (20, array([199,   4,   1,   4,   1,   1,   2,   3,   3,   1,   1,   1,   2,\n",
      "         1,   1,   5,   1,   1,   3,   1]))\n",
      "199 other (3, array([232,   2,   2]))\n",
      "200 sync (1, array([236]))\n",
      "201 other (3, array([231,   1,   4]))\n",
      "202 exotic (2, array([235,   1]))\n",
      "203 soli (2, array([235,   1]))\n",
      "204 sync (1, array([236]))\n",
      "205 sync (1, array([236]))\n",
      "206 3-soli (4, array([233,   1,   1,   1]))\n",
      "207 soli (2, array([235,   1]))\n",
      "208 sync (1, array([236]))\n",
      "209 soli (2, array([235,   1]))\n",
      "210 soli (2, array([235,   1]))\n",
      "211 sync (1, array([236]))\n",
      "212 sync (1, array([236]))\n",
      "213 sync (1, array([236]))\n",
      "214 other (7, array([228,   2,   1,   1,   2,   1,   1]))\n",
      "215 sync (1, array([236]))\n",
      "216 sync (1, array([236]))\n",
      "217 sync (1, array([236]))\n",
      "218 soli (2, array([235,   1]))\n",
      "219 sync (1, array([236]))\n",
      "220 2-soli (3, array([234,   1,   1]))\n",
      "221 sync (1, array([236]))\n",
      "222 sync (1, array([236]))\n",
      "223 sync (1, array([236]))\n",
      "224 sync (1, array([236]))\n",
      "225 sync (1, array([236]))\n",
      "226 sync (1, array([236]))\n",
      "227 sync (1, array([236]))\n",
      "228 soli (2, array([235,   1]))\n",
      "229 exotic (2, array([235,   1]))\n",
      "230 sync (1, array([236]))\n",
      "231 soli (2, array([235,   1]))\n",
      "232 exotic (2, array([235,   1]))\n",
      "233 sync (1, array([236]))\n",
      "234 other (7, array([222,   1,   5,   1,   4,   1,   2]))\n",
      "235 sync (1, array([236]))\n",
      "236 sync (1, array([236]))\n",
      "237 sync (1, array([236]))\n",
      "238 sync (1, array([236]))\n",
      "239 exotic (2, array([235,   1]))\n",
      "240 sync (1, array([236]))\n",
      "241 sync (1, array([236]))\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "242 sync (1, array([236]))\n",
      "243 sync (1, array([236]))\n",
      "244 sync (1, array([236]))\n",
      "245 sync (1, array([236]))\n",
      "246 sync (1, array([236]))\n",
      "247 sync (1, array([236]))\n",
      "248 exotic (2, array([235,   1]))\n",
      "249 exotic (2, array([235,   1]))\n",
      "250 sync (1, array([236]))\n",
      "251 sync (1, array([236]))\n",
      "252 3-soli (4, array([233,   1,   1,   1]))\n",
      "253 sync (1, array([236]))\n",
      "254 sync (1, array([236]))\n",
      "255 sync (1, array([236]))\n",
      "256 soli (2, array([235,   1]))\n",
      "257 sync (1, array([236]))\n",
      "258 sync (1, array([236]))\n",
      "259 2-soli (3, array([234,   1,   1]))\n",
      "260 sync (1, array([236]))\n",
      "261 soli (2, array([235,   1]))\n",
      "262 soli (2, array([235,   1]))\n",
      "263 sync (1, array([236]))\n",
      "264 sync (1, array([236]))\n",
      "265 sync (1, array([236]))\n",
      "266 soli (2, array([235,   1]))\n",
      "267 soli (2, array([235,   1]))\n",
      "268 sync (1, array([236]))\n",
      "269 sync (1, array([236]))\n",
      "270 other (17, array([210,   1,   1,   2,   2,   2,   6,   1,   1,   1,   1,   1,   1,\n",
      "         2,   2,   1,   1]))\n",
      "271 sync (1, array([236]))\n",
      "272 sync (1, array([236]))\n",
      "273 soli (2, array([235,   1]))\n",
      "274 other (6, array([226,   1,   1,   2,   2,   4]))\n",
      "275 sync (1, array([236]))\n",
      "276 sync (1, array([236]))\n",
      "277 sync (1, array([236]))\n",
      "278 sync (1, array([236]))\n",
      "279 sync (1, array([236]))\n",
      "280 other (3, array([229,   6,   1]))\n",
      "281 other (3, array([232,   1,   3]))\n",
      "282 sync (1, array([236]))\n",
      "283 other (8, array([225,   1,   1,   1,   1,   5,   1,   1]))\n",
      "284 sync (1, array([236]))\n",
      "285 soli (2, array([235,   1]))\n",
      "286 2-soli (3, array([234,   1,   1]))\n",
      "287 sync (1, array([236]))\n",
      "288 sync (1, array([236]))\n",
      "289 sync (1, array([236]))\n",
      "290 sync (1, array([236]))\n",
      "291 sync (1, array([236]))\n",
      "292 other (2, array([234,   2]))\n",
      "293 sync (1, array([236]))\n",
      "294 sync (1, array([236]))\n",
      "295 soli (2, array([235,   1]))\n",
      "296 soli (2, array([235,   1]))\n",
      "297 sync (1, array([236]))\n",
      "298 sync (1, array([236]))\n",
      "299 sync (1, array([236]))\n",
      "300 other (4, array([231,   3,   1,   1]))\n",
      "301 sync (1, array([236]))\n",
      "302 soli (2, array([235,   1]))\n",
      "303 other (13, array([220,   1,   1,   1,   1,   1,   1,   2,   1,   1,   2,   1,   3]))\n",
      "304 sync (1, array([236]))\n",
      "305 sync (1, array([236]))\n",
      "306 sync (1, array([236]))\n",
      "307 sync (1, array([236]))\n",
      "308 other (19, array([206,   1,   1,   1,   1,   2,   2,   2,   1,   2,   1,   2,   1,\n",
      "         2,   2,   1,   2,   1,   5]))\n",
      "309 sync (1, array([236]))\n",
      "310 sync (1, array([236]))\n",
      "311 sync (1, array([236]))\n",
      "312 sync (1, array([236]))\n",
      "313 sync (1, array([236]))\n",
      "314 sync (1, array([236]))\n",
      "315 sync (1, array([236]))\n",
      "316 soli (2, array([235,   1]))\n",
      "317 sync (1, array([236]))\n",
      "318 sync (1, array([236]))\n",
      "319 sync (1, array([236]))\n",
      "320 sync (1, array([236]))\n",
      "321 sync (1, array([236]))\n",
      "322 sync (1, array([236]))\n",
      "323 sync (1, array([236]))\n",
      "324 sync (1, array([236]))\n",
      "325 sync (1, array([236]))\n",
      "326 soli (2, array([235,   1]))\n",
      "327 sync (1, array([236]))\n",
      "328 sync (1, array([236]))\n",
      "329 sync (1, array([236]))\n",
      "330 2-soli (3, array([234,   1,   1]))\n",
      "331 sync (1, array([236]))\n",
      "332 exotic (2, array([235,   1]))\n",
      "333 sync (1, array([236]))\n",
      "334 sync (1, array([236]))\n",
      "335 sync (1, array([236]))\n",
      "336 sync (1, array([236]))\n",
      "337 exotic (2, array([235,   1]))\n",
      "338 sync (1, array([236]))\n",
      "339 soli (2, array([235,   1]))\n",
      "340 2-soli (3, array([234,   1,   1]))\n",
      "341 sync (1, array([236]))\n",
      "342 sync (1, array([236]))\n",
      "343 sync (1, array([236]))\n",
      "344 exotic (2, array([235,   1]))\n",
      "345 sync (1, array([236]))\n",
      "346 sync (1, array([236]))\n",
      "347 sync (1, array([236]))\n",
      "348 other (4, array([231,   2,   1,   2]))\n",
      "349 sync (1, array([236]))\n",
      "350 sync (1, array([236]))\n",
      "351 sync (1, array([236]))\n",
      "352 other (3, array([233,   1,   2]))\n",
      "353 sync (1, array([236]))\n",
      "354 exotic (2, array([235,   1]))\n",
      "355 sync (1, array([236]))\n",
      "356 sync (1, array([236]))\n",
      "357 sync (1, array([236]))\n",
      "358 other (5, array([224,   1,   3,   3,   5]))\n",
      "359 sync (1, array([236]))\n",
      "360 other (10, array([216,   1,   9,   2,   1,   2,   1,   1,   2,   1]))\n",
      "361 sync (1, array([236]))\n",
      "362 sync (1, array([236]))\n",
      "363 sync (1, array([236]))\n",
      "364 sync (1, array([236]))\n",
      "365 sync (1, array([236]))\n",
      "366 other (3, array([233,   2,   1]))\n",
      "367 sync (1, array([236]))\n",
      "368 soli (2, array([235,   1]))\n",
      "369 sync (1, array([236]))\n",
      "370 sync (1, array([236]))\n",
      "371 sync (1, array([236]))\n",
      "372 soli (2, array([235,   1]))\n",
      "373 other (5, array([231,   1,   2,   1,   1]))\n",
      "374 soli (2, array([235,   1]))\n",
      "375 sync (1, array([236]))\n",
      "376 sync (1, array([236]))\n",
      "377 sync (1, array([236]))\n",
      "378 sync (1, array([236]))\n",
      "379 sync (1, array([236]))\n",
      "380 sync (1, array([236]))\n",
      "381 sync (1, array([236]))\n",
      "382 other (3, array([231,   1,   4]))\n",
      "383 sync (1, array([236]))\n",
      "384 sync (1, array([236]))\n",
      "385 sync (1, array([236]))\n",
      "386 sync (1, array([236]))\n",
      "387 sync (1, array([236]))\n",
      "388 3-soli (4, array([233,   1,   1,   1]))\n",
      "389 other (3, array([233,   1,   2]))\n",
      "390 sync (1, array([236]))\n",
      "391 sync (1, array([236]))\n",
      "392 sync (1, array([236]))\n",
      "393 sync (1, array([236]))\n",
      "394 exotic (2, array([235,   1]))\n",
      "395 sync (1, array([236]))\n",
      "396 sync (1, array([236]))\n",
      "397 sync (1, array([236]))\n",
      "398 sync (1, array([236]))\n",
      "399 exotic (2, array([235,   1]))\n",
      "400 sync (1, array([236]))\n",
      "401 other (4, array([226,   1,   8,   1]))\n",
      "402 soli (2, array([235,   1]))\n",
      "403 sync (1, array([236]))\n",
      "404 sync (1, array([236]))\n",
      "405 sync (1, array([236]))\n",
      "406 sync (1, array([236]))\n",
      "407 sync (1, array([236]))\n",
      "408 sync (1, array([236]))\n",
      "409 sync (1, array([236]))\n",
      "410 sync (1, array([236]))\n",
      "411 sync (1, array([236]))\n",
      "412 sync (1, array([236]))\n",
      "413 sync (1, array([236]))\n",
      "414 soli (2, array([235,   1]))\n",
      "415 sync (1, array([236]))\n",
      "416 sync (1, array([236]))\n",
      "417 sync (1, array([236]))\n",
      "418 other (3, array([233,   1,   2]))\n",
      "419 exotic (2, array([235,   1]))\n",
      "420 other (10, array([209,   1,   1,   1,   1,  15,   1,   3,   2,   2]))\n",
      "421 sync (1, array([236]))\n",
      "422 sync (1, array([236]))\n",
      "423 2-soli (3, array([234,   1,   1]))\n",
      "424 sync (1, array([236]))\n",
      "425 sync (1, array([236]))\n",
      "426 other (18, array([  2,   4,   1,   3,   1,   2, 203,   1,   1,   2,   1,   6,   2,\n",
      "         2,   2,   1,   1,   1]))\n",
      "427 sync (1, array([236]))\n",
      "428 sync (1, array([236]))\n",
      "429 soli (2, array([235,   1]))\n",
      "430 exotic (2, array([235,   1]))\n",
      "431 sync (1, array([236]))\n",
      "432 sync (1, array([236]))\n",
      "433 sync (1, array([236]))\n",
      "434 sync (1, array([236]))\n",
      "435 sync (1, array([236]))\n",
      "436 soli (2, array([235,   1]))\n",
      "437 sync (1, array([236]))\n",
      "438 soli (2, array([235,   1]))\n",
      "439 sync (1, array([236]))\n",
      "440 sync (1, array([236]))\n",
      "441 other (17, array([  3,   1,   3,   2,   1,   1,   3, 202,   6,   2,   2,   1,   3,\n",
      "         1,   2,   2,   1]))\n",
      "442 soli (2, array([235,   1]))\n",
      "443 sync (1, array([236]))\n",
      "444 soli (2, array([235,   1]))\n",
      "445 sync (1, array([236]))\n",
      "446 sync (1, array([236]))\n",
      "447 sync (1, array([236]))\n",
      "448 soli (2, array([235,   1]))\n",
      "449 sync (1, array([236]))\n",
      "450 sync (1, array([236]))\n",
      "451 exotic (2, array([235,   1]))\n",
      "452 sync (1, array([236]))\n",
      "453 sync (1, array([236]))\n",
      "454 sync (1, array([236]))\n",
      "455 sync (1, array([236]))\n",
      "456 sync (1, array([236]))\n",
      "457 other (5, array([230,   2,   1,   1,   2]))\n",
      "458 sync (1, array([236]))\n",
      "459 sync (1, array([236]))\n",
      "460 sync (1, array([236]))\n",
      "461 sync (1, array([236]))\n",
      "462 sync (1, array([236]))\n",
      "463 other (3, array([231,   2,   3]))\n",
      "464 sync (1, array([236]))\n",
      "465 soli (2, array([235,   1]))\n",
      "466 sync (1, array([236]))\n",
      "467 sync (1, array([236]))\n",
      "468 sync (1, array([236]))\n",
      "469 sync (1, array([236]))\n",
      "470 sync (1, array([236]))\n",
      "471 sync (1, array([236]))\n",
      "472 sync (1, array([236]))\n",
      "473 other (68, array([15,  1,  3,  2,  6,  1,  1,  1, 10,  1,  6,  2, 31,  3,  1,  3,  1,\n",
      "        1,  1,  3,  3,  2,  2,  1,  2,  4,  4,  2,  3,  1,  5,  1,  2,  3,\n",
      "        2,  3, 12,  2,  3,  3,  3,  1,  1, 10,  6,  1,  2,  1,  2,  4,  3,\n",
      "        1,  3,  1,  1,  2,  2, 10,  1,  3,  1,  1,  1,  2, 16,  1,  2,  1]))\n",
      "474 sync (1, array([236]))\n",
      "475 sync (1, array([236]))\n",
      "476 sync (1, array([236]))\n",
      "477 sync (1, array([236]))\n",
      "478 soli (2, array([235,   1]))\n",
      "479 other (15, array([208,   4,   2,   2,   2,   1,   1,   1,   1,   1,   2,   1,   8,\n",
      "         1,   1]))\n",
      "480 sync (1, array([236]))\n",
      "481 sync (1, array([236]))\n",
      "482 sync (1, array([236]))\n",
      "483 sync (1, array([236]))\n",
      "484 sync (1, array([236]))\n",
      "485 soli (2, array([235,   1]))\n",
      "486 sync (1, array([236]))\n",
      "487 sync (1, array([236]))\n",
      "488 sync (1, array([236]))\n",
      "489 sync (1, array([236]))\n",
      "490 sync (1, array([236]))\n",
      "491 sync (1, array([236]))\n",
      "492 sync (1, array([236]))\n",
      "493 sync (1, array([236]))\n",
      "494 sync (1, array([236]))\n",
      "495 other (3, array([233,   1,   2]))\n",
      "496 sync (1, array([236]))\n",
      "497 sync (1, array([236]))\n",
      "498 sync (1, array([236]))\n",
      "499 sync (1, array([236]))\n",
      "500 sync (1, array([236]))\n",
      "501 sync (1, array([236]))\n",
      "502 soli (2, array([235,   1]))\n",
      "503 other (4, array([231,   1,   2,   2]))\n",
      "504 sync (1, array([236]))\n",
      "505 sync (1, array([236]))\n",
      "506 sync (1, array([236]))\n",
      "507 sync (1, array([236]))\n",
      "508 sync (1, array([236]))\n",
      "509 sync (1, array([236]))\n",
      "510 other (3, array([232,   1,   3]))\n",
      "511 2-soli (3, array([234,   1,   1]))\n",
      "512 sync (1, array([236]))\n",
      "513 sync (1, array([236]))\n",
      "514 sync (1, array([236]))\n",
      "515 sync (1, array([236]))\n",
      "516 sync (1, array([236]))\n",
      "517 other (3, array([233,   1,   2]))\n",
      "518 sync (1, array([236]))\n",
      "519 sync (1, array([236]))\n",
      "520 sync (1, array([236]))\n",
      "521 other (14, array([206,   1,   1,   4,   1,   2,  11,   1,   2,   2,   1,   1,   2,\n",
      "         1]))\n",
      "522 2-soli (3, array([234,   1,   1]))\n",
      "523 sync (1, array([236]))\n",
      "524 sync (1, array([236]))\n",
      "525 sync (1, array([236]))\n",
      "526 sync (1, array([236]))\n",
      "527 3-soli (4, array([233,   1,   1,   1]))\n",
      "528 2-soli (3, array([234,   1,   1]))\n",
      "529 sync (1, array([236]))\n",
      "530 sync (1, array([236]))\n",
      "531 sync (1, array([236]))\n",
      "532 sync (1, array([236]))\n",
      "533 sync (1, array([236]))\n",
      "534 soli (2, array([235,   1]))\n",
      "535 sync (1, array([236]))\n",
      "536 soli (2, array([235,   1]))\n",
      "537 sync (1, array([236]))\n",
      "538 sync (1, array([236]))\n",
      "539 soli (2, array([235,   1]))\n",
      "540 sync (1, array([236]))\n",
      "541 2-soli (3, array([234,   1,   1]))\n",
      "542 sync (1, array([236]))\n",
      "543 other (25, array([193,   1,   8,   1,   1,   1,   1,   2,   2,   2,   3,   1,   2,\n",
      "         1,   1,   3,   1,   2,   1,   1,   2,   1,   1,   1,   3]))\n",
      "544 2-soli (3, array([234,   1,   1]))\n",
      "545 sync (1, array([236]))\n",
      "546 sync (1, array([236]))\n",
      "547 sync (1, array([236]))\n",
      "548 exotic (2, array([235,   1]))\n",
      "549 soli (2, array([235,   1]))\n",
      "550 sync (1, array([236]))\n",
      "551 sync (1, array([236]))\n",
      "552 sync (1, array([236]))\n",
      "553 sync (1, array([236]))\n",
      "554 other (2, array([232,   4]))\n",
      "555 sync (1, array([236]))\n",
      "556 other (5, array([229,   1,   1,   1,   4]))\n",
      "557 sync (1, array([236]))\n",
      "558 exotic (2, array([235,   1]))\n",
      "559 exotic (2, array([235,   1]))\n",
      "560 exotic (2, array([235,   1]))\n",
      "561 other (12, array([216,   1,   1,   2,   1,   1,   5,   2,   4,   1,   1,   1]))\n",
      "562 sync (1, array([236]))\n",
      "563 sync (1, array([236]))\n",
      "564 exotic (2, array([235,   1]))\n",
      "565 sync (1, array([236]))\n",
      "566 exotic (2, array([235,   1]))\n",
      "567 sync (1, array([236]))\n",
      "568 2-soli (3, array([234,   1,   1]))\n",
      "569 sync (1, array([236]))\n",
      "570 sync (1, array([236]))\n",
      "571 sync (1, array([236]))\n",
      "572 sync (1, array([236]))\n",
      "573 other (4, array([232,   2,   1,   1]))\n",
      "574 other (13, array([209,   1,   6,   2,   2,   1,   1,   2,   2,   1,   7,   1,   1]))\n",
      "575 soli (2, array([235,   1]))\n",
      "576 sync (1, array([236]))\n",
      "577 sync (1, array([236]))\n",
      "578 sync (1, array([236]))\n",
      "579 soli (2, array([235,   1]))\n",
      "580 soli (2, array([235,   1]))\n",
      "581 sync (1, array([236]))\n",
      "582 sync (1, array([236]))\n",
      "583 exotic (2, array([235,   1]))\n",
      "584 other (3, array([232,   1,   3]))\n",
      "585 sync (1, array([236]))\n",
      "586 sync (1, array([236]))\n",
      "587 sync (1, array([236]))\n",
      "588 soli (2, array([235,   1]))\n",
      "589 sync (1, array([236]))\n",
      "590 other (51, array([  4,   2,   1,   9,   1,   3,   2,  22,   1,   1,   4,   1,   3,\n",
      "         2,   1, 105,   1,   1,   1,   1,   2,   1,   2,   2,   2,   1,\n",
      "         2,   3,   1,   1,   3,   1,   3,   1,   1,   2,   2,   3,   7,\n",
      "         2,   2,   1,   1,   2,   2,   1,   8,   2,   5,   3,   1]))\n",
      "591 sync (1, array([236]))\n",
      "592 sync (1, array([236]))\n",
      "593 sync (1, array([236]))\n",
      "594 2-soli (3, array([234,   1,   1]))\n",
      "595 sync (1, array([236]))\n",
      "596 other (8, array([220,   1,   1,   4,   1,   1,   1,   7]))\n",
      "597 soli (2, array([235,   1]))\n",
      "598 sync (1, array([236]))\n",
      "599 sync (1, array([236]))\n",
      "600 sync (1, array([236]))\n",
      "601 sync (1, array([236]))\n",
      "602 sync (1, array([236]))\n",
      "603 sync (1, array([236]))\n",
      "604 sync (1, array([236]))\n",
      "605 sync (1, array([236]))\n",
      "606 other (8, array([226,   1,   2,   1,   1,   1,   3,   1]))\n",
      "607 sync (1, array([236]))\n",
      "608 sync (1, array([236]))\n",
      "609 sync (1, array([236]))\n",
      "610 sync (1, array([236]))\n",
      "611 2-soli (3, array([234,   1,   1]))\n",
      "612 sync (1, array([236]))\n",
      "613 soli (2, array([235,   1]))\n",
      "614 sync (1, array([236]))\n",
      "615 sync (1, array([236]))\n",
      "616 other (16, array([  2,   1,   1,   2,   2,   1,   1,   3, 203,   1,  10,   3,   2,\n",
      "         1,   1,   2]))\n",
      "617 exotic (2, array([235,   1]))\n",
      "618 sync (1, array([236]))\n",
      "619 sync (1, array([236]))\n",
      "620 sync (1, array([236]))\n",
      "621 exotic (2, array([235,   1]))\n",
      "622 sync (1, array([236]))\n",
      "623 sync (1, array([236]))\n",
      "624 sync (1, array([236]))\n",
      "625 sync (1, array([236]))\n",
      "626 sync (1, array([236]))\n",
      "627 sync (1, array([236]))\n",
      "628 soli (2, array([235,   1]))\n",
      "629 sync (1, array([236]))\n",
      "630 sync (1, array([236]))\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "631 sync (1, array([236]))\n",
      "632 other (72, array([20,  1,  1,  3,  3,  4,  1,  2,  1, 11,  1,  2,  2,  1,  1,  1,  3,\n",
      "        2,  2,  2,  2,  8,  5,  1,  1,  4,  1,  1,  3,  3,  3,  1,  6,  2,\n",
      "        1,  2,  3, 12,  4,  7,  3,  1,  2,  2,  3,  3,  1,  5,  1,  1,  1,\n",
      "        1,  2,  3,  2,  1,  6,  2,  1,  2,  3,  1,  2,  1,  2,  1,  2,  4,\n",
      "       40,  1,  1,  1]))\n",
      "633 sync (1, array([236]))\n",
      "634 sync (1, array([236]))\n",
      "635 sync (1, array([236]))\n",
      "636 soli (2, array([235,   1]))\n",
      "637 exotic (2, array([235,   1]))\n",
      "638 sync (1, array([236]))\n",
      "639 sync (1, array([236]))\n",
      "640 sync (1, array([236]))\n",
      "641 sync (1, array([236]))\n",
      "642 sync (1, array([236]))\n",
      "643 sync (1, array([236]))\n",
      "644 sync (1, array([236]))\n",
      "645 other (3, array([233,   2,   1]))\n",
      "646 sync (1, array([236]))\n",
      "647 sync (1, array([236]))\n",
      "648 sync (1, array([236]))\n",
      "649 2-soli (3, array([234,   1,   1]))\n",
      "650 sync (1, array([236]))\n",
      "651 sync (1, array([236]))\n",
      "652 sync (1, array([236]))\n",
      "653 sync (1, array([236]))\n",
      "654 sync (1, array([236]))\n",
      "655 sync (1, array([236]))\n",
      "656 exotic (2, array([235,   1]))\n",
      "657 soli (2, array([235,   1]))\n",
      "658 sync (1, array([236]))\n",
      "659 sync (1, array([236]))\n",
      "660 other (2, array([234,   2]))\n",
      "661 other (64, array([15,  1,  1,  1,  3,  1,  2,  1, 19,  2,  1,  3,  1,  4,  2,  1,  1,\n",
      "       21,  2,  2,  4,  1,  1,  2,  2,  1,  1,  1,  2,  1,  4,  3,  2,  3,\n",
      "        1,  3,  2, 45,  3,  2,  4,  3,  5,  1,  1,  5,  1,  1,  1,  1, 21,\n",
      "        1,  1,  3,  2,  1,  1,  5,  3,  3,  1,  1,  1,  1]))\n",
      "662 soli (2, array([235,   1]))\n",
      "663 sync (1, array([236]))\n",
      "664 sync (1, array([236]))\n",
      "665 sync (1, array([236]))\n",
      "666 other (17, array([205,   2,   1,   1,   1,   4,   2,   3,   1,   2,   1,   1,   2,\n",
      "         1,   5,   1,   3]))\n",
      "667 sync (1, array([236]))\n",
      "668 sync (1, array([236]))\n",
      "669 other (21, array([204,   2,   1,   2,   2,   3,   1,   1,   3,   2,   2,   1,   1,\n",
      "         2,   1,   1,   1,   1,   1,   3,   1]))\n",
      "670 sync (1, array([236]))\n",
      "671 other (16, array([197,   1,   8,   2,   1,   4,   3,   1,   2,   1,   3,   1,   1,\n",
      "         1,   1,   9]))\n",
      "672 sync (1, array([236]))\n",
      "673 other (4, array([231,   1,   2,   2]))\n",
      "674 sync (1, array([236]))\n",
      "675 sync (1, array([236]))\n",
      "676 other (6, array([222,   2,   1,   1,   1,   9]))\n",
      "677 sync (1, array([236]))\n",
      "678 sync (1, array([236]))\n",
      "679 sync (1, array([236]))\n",
      "680 sync (1, array([236]))\n",
      "681 sync (1, array([236]))\n",
      "682 sync (1, array([236]))\n",
      "683 sync (1, array([236]))\n",
      "684 2-soli (3, array([234,   1,   1]))\n",
      "685 4-soli (5, array([232,   1,   1,   1,   1]))\n",
      "686 sync (1, array([236]))\n",
      "687 other (4, array([231,   3,   1,   1]))\n",
      "688 sync (1, array([236]))\n",
      "689 sync (1, array([236]))\n",
      "690 sync (1, array([236]))\n",
      "691 soli (2, array([235,   1]))\n",
      "692 sync (1, array([236]))\n",
      "693 sync (1, array([236]))\n",
      "694 other (9, array([224,   2,   2,   1,   3,   1,   1,   1,   1]))\n",
      "695 sync (1, array([236]))\n",
      "696 exotic (2, array([235,   1]))\n",
      "697 sync (1, array([236]))\n",
      "698 sync (1, array([236]))\n",
      "699 sync (1, array([236]))\n",
      "700 sync (1, array([236]))\n",
      "701 sync (1, array([236]))\n",
      "702 soli (2, array([235,   1]))\n",
      "703 sync (1, array([236]))\n",
      "704 soli (2, array([235,   1]))\n",
      "705 soli (2, array([235,   1]))\n",
      "706 sync (1, array([236]))\n",
      "707 sync (1, array([236]))\n",
      "708 sync (1, array([236]))\n",
      "709 other (3, array([231,   2,   3]))\n",
      "710 exotic (2, array([235,   1]))\n",
      "711 soli (2, array([235,   1]))\n",
      "712 sync (1, array([236]))\n",
      "713 sync (1, array([236]))\n",
      "714 sync (1, array([236]))\n",
      "715 sync (1, array([236]))\n",
      "716 other (19, array([204,   1,   1,   6,   5,   3,   1,   1,   1,   1,   2,   1,   1,\n",
      "         2,   2,   1,   1,   1,   1]))\n",
      "717 sync (1, array([236]))\n",
      "718 exotic (2, array([235,   1]))\n",
      "719 soli (2, array([235,   1]))\n",
      "720 sync (1, array([236]))\n",
      "721 sync (1, array([236]))\n",
      "722 sync (1, array([236]))\n",
      "723 soli (2, array([235,   1]))\n",
      "724 sync (1, array([236]))\n",
      "725 sync (1, array([236]))\n",
      "726 soli (2, array([235,   1]))\n",
      "727 sync (1, array([236]))\n",
      "728 sync (1, array([236]))\n",
      "729 sync (1, array([236]))\n",
      "730 other (17, array([205,   1,   4,   2,   6,   1,   3,   1,   1,   1,   1,   1,   1,\n",
      "         1,   1,   5,   1]))\n",
      "731 sync (1, array([236]))\n",
      "732 sync (1, array([236]))\n",
      "733 sync (1, array([236]))\n",
      "734 other (24, array([201,   2,   1,   4,   2,   3,   1,   1,   2,   1,   1,   1,   2,\n",
      "         1,   2,   1,   1,   1,   2,   1,   1,   1,   2,   1]))\n",
      "735 4-soli (5, array([232,   1,   1,   1,   1]))\n",
      "736 sync (1, array([236]))\n",
      "737 sync (1, array([236]))\n",
      "738 4-soli (5, array([232,   1,   1,   1,   1]))\n",
      "739 sync (1, array([236]))\n",
      "740 other (9, array([220,   1,   1,   6,   1,   3,   2,   1,   1]))\n",
      "741 sync (1, array([236]))\n",
      "742 sync (1, array([236]))\n",
      "743 sync (1, array([236]))\n",
      "744 other (3, array([233,   1,   2]))\n",
      "745 sync (1, array([236]))\n",
      "746 other (3, array([225,   1,  10]))\n",
      "747 exotic (2, array([235,   1]))\n",
      "748 sync (1, array([236]))\n",
      "749 other (3, array([233,   2,   1]))\n",
      "750 sync (1, array([236]))\n",
      "751 sync (1, array([236]))\n",
      "752 soli (2, array([235,   1]))\n",
      "753 sync (1, array([236]))\n",
      "754 sync (1, array([236]))\n",
      "755 exotic (2, array([235,   1]))\n",
      "756 other (3, array([232,   1,   3]))\n",
      "757 exotic (2, array([235,   1]))\n",
      "758 soli (2, array([235,   1]))\n",
      "759 sync (1, array([236]))\n",
      "760 sync (1, array([236]))\n",
      "761 sync (1, array([236]))\n",
      "762 exotic (2, array([235,   1]))\n",
      "763 sync (1, array([236]))\n",
      "764 sync (1, array([236]))\n",
      "765 sync (1, array([236]))\n",
      "766 sync (1, array([236]))\n",
      "767 sync (1, array([236]))\n",
      "768 2-soli (3, array([234,   1,   1]))\n",
      "769 other (3, array([231,   2,   3]))\n",
      "770 sync (1, array([236]))\n",
      "771 sync (1, array([236]))\n",
      "772 soli (2, array([235,   1]))\n",
      "773 soli (2, array([235,   1]))\n",
      "774 sync (1, array([236]))\n",
      "775 sync (1, array([236]))\n",
      "776 sync (1, array([236]))\n",
      "777 sync (1, array([236]))\n",
      "778 sync (1, array([236]))\n",
      "779 soli (2, array([235,   1]))\n",
      "780 sync (1, array([236]))\n",
      "781 sync (1, array([236]))\n",
      "782 sync (1, array([236]))\n",
      "783 sync (1, array([236]))\n",
      "784 sync (1, array([236]))\n",
      "785 sync (1, array([236]))\n",
      "786 sync (1, array([236]))\n",
      "787 sync (1, array([236]))\n",
      "788 sync (1, array([236]))\n",
      "789 sync (1, array([236]))\n",
      "790 sync (1, array([236]))\n",
      "791 sync (1, array([236]))\n",
      "792 sync (1, array([236]))\n",
      "793 sync (1, array([236]))\n",
      "794 sync (1, array([236]))\n",
      "795 sync (1, array([236]))\n",
      "796 sync (1, array([236]))\n",
      "797 sync (1, array([236]))\n",
      "798 sync (1, array([236]))\n",
      "799 soli (2, array([235,   1]))\n",
      "800 sync (1, array([236]))\n",
      "801 soli (2, array([235,   1]))\n",
      "802 sync (1, array([236]))\n",
      "803 sync (1, array([236]))\n",
      "804 sync (1, array([236]))\n",
      "805 sync (1, array([236]))\n",
      "806 other (3, array([231,   1,   4]))\n",
      "807 sync (1, array([236]))\n",
      "808 sync (1, array([236]))\n",
      "809 sync (1, array([236]))\n",
      "810 sync (1, array([236]))\n",
      "811 sync (1, array([236]))\n",
      "812 sync (1, array([236]))\n",
      "813 sync (1, array([236]))\n",
      "814 other (18, array([203,   3,   1,   2,   2,   2,   3,   1,   6,   1,   2,   1,   4,\n",
      "         1,   1,   1,   1,   1]))\n",
      "815 sync (1, array([236]))\n",
      "816 soli (2, array([235,   1]))\n",
      "817 sync (1, array([236]))\n",
      "818 sync (1, array([236]))\n",
      "819 sync (1, array([236]))\n",
      "820 sync (1, array([236]))\n",
      "821 sync (1, array([236]))\n",
      "822 sync (1, array([236]))\n",
      "823 sync (1, array([236]))\n",
      "824 soli (2, array([235,   1]))\n",
      "825 sync (1, array([236]))\n",
      "826 sync (1, array([236]))\n",
      "827 sync (1, array([236]))\n",
      "828 other (5, array([231,   2,   1,   1,   1]))\n",
      "829 sync (1, array([236]))\n",
      "830 sync (1, array([236]))\n",
      "831 sync (1, array([236]))\n",
      "832 sync (1, array([236]))\n",
      "833 sync (1, array([236]))\n",
      "834 2-soli (3, array([234,   1,   1]))\n",
      "835 sync (1, array([236]))\n",
      "836 sync (1, array([236]))\n",
      "837 other (62, array([11,  4,  1,  1, 10,  1,  2, 95,  3,  1,  1,  1,  2,  1,  1,  2,  1,\n",
      "        4,  2,  1,  6,  4, 16,  1,  2,  1,  1,  1,  2,  2,  2,  1,  1,  1,\n",
      "        1,  1,  2,  3,  3,  4,  3,  1,  1,  3,  3,  1,  1,  1,  1,  2,  1,\n",
      "        2,  2,  1,  1,  1,  1,  4,  1,  1,  1,  3]))\n",
      "838 other (4, array([232,   1,   2,   1]))\n",
      "839 sync (1, array([236]))\n",
      "840 sync (1, array([236]))\n",
      "841 sync (1, array([236]))\n",
      "842 sync (1, array([236]))\n",
      "843 sync (1, array([236]))\n",
      "844 sync (1, array([236]))\n",
      "845 sync (1, array([236]))\n",
      "846 sync (1, array([236]))\n",
      "847 sync (1, array([236]))\n",
      "848 other (4, array([226,   1,   1,   8]))\n",
      "849 sync (1, array([236]))\n",
      "850 sync (1, array([236]))\n",
      "851 sync (1, array([236]))\n",
      "852 sync (1, array([236]))\n",
      "853 sync (1, array([236]))\n",
      "854 sync (1, array([236]))\n",
      "855 sync (1, array([236]))\n",
      "856 sync (1, array([236]))\n",
      "857 sync (1, array([236]))\n",
      "858 sync (1, array([236]))\n",
      "859 sync (1, array([236]))\n",
      "860 sync (1, array([236]))\n",
      "861 sync (1, array([236]))\n",
      "862 soli (2, array([235,   1]))\n",
      "863 sync (1, array([236]))\n",
      "864 soli (2, array([235,   1]))\n",
      "865 sync (1, array([236]))\n",
      "866 sync (1, array([236]))\n",
      "867 soli (2, array([235,   1]))\n",
      "868 exotic (2, array([235,   1]))\n",
      "869 other (3, array([233,   1,   2]))\n",
      "870 sync (1, array([236]))\n",
      "871 sync (1, array([236]))\n",
      "872 exotic (2, array([235,   1]))\n",
      "873 sync (1, array([236]))\n",
      "874 sync (1, array([236]))\n",
      "875 sync (1, array([236]))\n",
      "876 sync (1, array([236]))\n",
      "877 sync (1, array([236]))\n",
      "878 sync (1, array([236]))\n",
      "879 sync (1, array([236]))\n",
      "880 sync (1, array([236]))\n",
      "881 sync (1, array([236]))\n",
      "882 soli (2, array([235,   1]))\n",
      "883 sync (1, array([236]))\n",
      "884 other (5, array([231,   1,   2,   1,   1]))\n",
      "885 sync (1, array([236]))\n",
      "886 sync (1, array([236]))\n",
      "887 sync (1, array([236]))\n",
      "888 sync (1, array([236]))\n",
      "889 soli (2, array([235,   1]))\n",
      "890 sync (1, array([236]))\n",
      "891 soli (2, array([235,   1]))\n",
      "892 other (3, array([231,   2,   3]))\n",
      "893 sync (1, array([236]))\n",
      "894 sync (1, array([236]))\n",
      "895 sync (1, array([236]))\n",
      "896 sync (1, array([236]))\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "897 sync (1, array([236]))\n",
      "898 sync (1, array([236]))\n",
      "899 sync (1, array([236]))\n",
      "900 other (22, array([202,   1,   4,   3,   1,   2,   1,   1,   1,   1,   1,   1,   1,\n",
      "         1,   1,   1,   2,   1,   3,   1,   5,   1]))\n",
      "901 sync (1, array([236]))\n",
      "902 sync (1, array([236]))\n",
      "903 sync (1, array([236]))\n",
      "904 sync (1, array([236]))\n",
      "905 sync (1, array([236]))\n",
      "906 sync (1, array([236]))\n",
      "907 soli (2, array([235,   1]))\n",
      "908 sync (1, array([236]))\n",
      "909 sync (1, array([236]))\n",
      "910 other (9, array([222,   2,   1,   1,   1,   2,   4,   1,   2]))\n",
      "911 sync (1, array([236]))\n",
      "912 sync (1, array([236]))\n",
      "913 sync (1, array([236]))\n",
      "914 soli (2, array([235,   1]))\n",
      "915 sync (1, array([236]))\n",
      "916 sync (1, array([236]))\n",
      "917 sync (1, array([236]))\n",
      "918 sync (1, array([236]))\n",
      "919 2-soli (3, array([234,   1,   1]))\n",
      "920 soli (2, array([235,   1]))\n",
      "921 soli (2, array([235,   1]))\n",
      "922 sync (1, array([236]))\n",
      "923 sync (1, array([236]))\n",
      "924 sync (1, array([236]))\n",
      "925 soli (2, array([235,   1]))\n",
      "926 sync (1, array([236]))\n",
      "927 sync (1, array([236]))\n",
      "928 sync (1, array([236]))\n",
      "929 sync (1, array([236]))\n",
      "930 other (4, array([229,   3,   3,   1]))\n",
      "931 sync (1, array([236]))\n",
      "932 sync (1, array([236]))\n",
      "933 sync (1, array([236]))\n",
      "934 sync (1, array([236]))\n",
      "935 sync (1, array([236]))\n",
      "936 sync (1, array([236]))\n",
      "937 soli (2, array([235,   1]))\n",
      "938 sync (1, array([236]))\n",
      "939 sync (1, array([236]))\n",
      "940 2-soli (3, array([234,   1,   1]))\n",
      "941 sync (1, array([236]))\n",
      "942 sync (1, array([236]))\n",
      "943 sync (1, array([236]))\n",
      "944 sync (1, array([236]))\n",
      "945 sync (1, array([236]))\n",
      "946 sync (1, array([236]))\n",
      "947 sync (1, array([236]))\n",
      "948 sync (1, array([236]))\n",
      "949 soli (2, array([235,   1]))\n",
      "950 other (10, array([221,   1,   1,   4,   1,   1,   2,   1,   3,   1]))\n",
      "951 sync (1, array([236]))\n",
      "952 sync (1, array([236]))\n",
      "953 sync (1, array([236]))\n",
      "954 sync (1, array([236]))\n",
      "955 sync (1, array([236]))\n",
      "956 sync (1, array([236]))\n",
      "957 soli (2, array([235,   1]))\n",
      "958 4-soli (5, array([232,   1,   1,   1,   1]))\n",
      "959 other (19, array([208,   1,   2,   2,   1,   3,   1,   3,   1,   1,   2,   1,   1,\n",
      "         1,   1,   1,   1,   4,   1]))\n",
      "960 other (3, array([233,   2,   1]))\n",
      "961 other (4, array([232,   2,   1,   1]))\n",
      "962 sync (1, array([236]))\n",
      "963 3-soli (4, array([233,   1,   1,   1]))\n",
      "964 other (3, array([231,   1,   4]))\n",
      "965 sync (1, array([236]))\n",
      "966 sync (1, array([236]))\n",
      "967 sync (1, array([236]))\n",
      "968 sync (1, array([236]))\n",
      "969 sync (1, array([236]))\n",
      "970 other (3, array([229,   6,   1]))\n",
      "971 soli (2, array([235,   1]))\n",
      "972 other (44, array([  2,   1,   1,   2,   5,   2,   1,   3,   3,   1,  10,   1,   2,\n",
      "         1,   1, 137,   1,   1,   1,   2,   1,   1,   1,   1,   4,   2,\n",
      "        10,   3,   3,   1,   3,   2,   2,   7,   2,   2,   1,   4,   2,\n",
      "         1,   1,   1,   1,   2]))\n",
      "973 sync (1, array([236]))\n",
      "974 sync (1, array([236]))\n",
      "975 3-soli (4, array([233,   1,   1,   1]))\n",
      "976 exotic (2, array([235,   1]))\n",
      "977 soli (2, array([235,   1]))\n",
      "978 soli (2, array([235,   1]))\n",
      "979 sync (1, array([236]))\n",
      "980 sync (1, array([236]))\n",
      "981 sync (1, array([236]))\n",
      "982 sync (1, array([236]))\n",
      "983 sync (1, array([236]))\n",
      "984 sync (1, array([236]))\n",
      "985 sync (1, array([236]))\n",
      "986 sync (1, array([236]))\n",
      "987 other (7, array([226,   2,   1,   1,   1,   1,   4]))\n",
      "988 soli (2, array([235,   1]))\n",
      "989 4-soli (5, array([232,   1,   1,   1,   1]))\n",
      "990 sync (1, array([236]))\n",
      "991 other (4, array([223,   1,  11,   1]))\n",
      "992 sync (1, array([236]))\n",
      "993 sync (1, array([236]))\n",
      "994 sync (1, array([236]))\n",
      "995 soli (2, array([235,   1]))\n",
      "996 sync (1, array([236]))\n",
      "997 sync (1, array([236]))\n",
      "998 sync (1, array([236]))\n",
      "999 soli (2, array([235,   1]))\n"
     ]
    }
   ],
   "source": [
    "run = 48 # alpha=0.24\n",
    "\n",
    "for b in range(af.shape[0]):\n",
    "    erg = detect_clusters(af[b, run, :])\n",
    "    idx = np.argsort(erg[1])\n",
    "    \n",
    "    if np.isnan(erg[3]):    \n",
    "        if erg[0] == 1:\n",
    "            out = \"sync\"\n",
    "        else:\n",
    "            if sum(erg[1][idx][:erg[0]-1]) == erg[0]-1:\n",
    "                out = \"{}-soli\".format(erg[0]-1)\n",
    "            else:\n",
    "                out = \"other\"\n",
    "    else:\n",
    "        if erg[2][idx][0] / ana[3].input_power[erg[3]] < 0:\n",
    "            out = \"exotic\"\n",
    "        else:\n",
    "            out = \"soli\"\n",
    "            \n",
    "    print(b, out, erg[:2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def markers(a):\n",
    "    out = \"o\"\n",
    "    if a < 0:\n",
    "        out = \"s\"\n",
    "    return out"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Javascript object>"
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    {
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\" width=\"826.8333333333334\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[  -1.         -100.34236735]]\n",
      "[[  1.         -83.31880995]]\n",
      "[[  1.         -50.92612737]\n",
      " [ -1.         -41.5930524 ]]\n",
      "[[ -1.         -96.45975749]\n",
      " [ -1.         -38.02228053]\n",
      " [  1.         -18.03131931]]\n",
      "[86 87 88 89 90]\n"
     ]
    }
   ],
   "source": [
    "fig1, f1_axes = plt.subplots(ncols=3, nrows=2, constrained_layout=False, \n",
    "                             gridspec_kw={\"wspace\":0.2, \"hspace\": 0.2, \"left\": 0.2, \"right\":0.95})\n",
    "labels = [\"a\", \"b\", \"c\", \"d\", \"e\", \"f\"]\n",
    "cases = [\"sync\", \"1-solitary\", \"exotic\\n 1-solitary\", \"\", \"\", \"\"]\n",
    "\n",
    "fig1.set_size_inches(8.27, 8.27)\n",
    "\n",
    "scale = 0.1 # scale solitary for sketch\n",
    "\n",
    "counter = 0\n",
    "for row in f1_axes:\n",
    "    for ax in row:\n",
    "        ax.set_xlim(0, n-1)\n",
    "        ax.set_ylim(-1.1, 1.25)\n",
    "        ax.text(0.01, 0.99, labels[counter], ha='left', va='top', fontsize=18, weight='bold', transform=ax.transAxes, zorder=10)\n",
    "        ax.text(0.5, 0.7, cases[counter], ha='center', va='center', fontsize=25, transform=ax.transAxes, zorder=10)\n",
    "        ax.axhline(1, 0, n-1, c=\"k\", linestyle=\":\", linewidth=1)\n",
    "        ax.axhline(0, 0, n-1, c=\"k\", linestyle=\":\", linewidth=1)\n",
    "        ax.axhline(-1, 0, n-1, c=\"k\", linestyle=\":\", linewidth=1)\n",
    "        ax.grid(False)\n",
    "        ax.xaxis.set_visible(True)\n",
    "        counter += 1\n",
    "\n",
    "# sync\n",
    "batch = 0\n",
    "sync = af[batch, run, :] * scale / omega_sol(run) \n",
    "\n",
    "f1_axes[0, 0].scatter(range(n), sync, zorder=10, s=40, c=[cmap(norm(0))])\n",
    "f1_axes[0, 0].set_xticks([1, 236])\n",
    "\n",
    "# normal solitary\n",
    "batch = 10 \n",
    "soli = af[batch, run, :] * scale / omega_sol(run) \n",
    "\n",
    "f1_axes[0, 1].scatter(range(n), soli, zorder=10, s=40, c=[cmap(norm(0))])\n",
    "idx = np.where(np.abs(soli) > .5)[0]\n",
    "print(np.c_[ana[3].input_power[idx], af[batch, run, idx]])\n",
    "f1_axes[0, 1].scatter(idx, soli[idx], zorder=10, s=80, c=[cmap(norm(1))], marker=markers(ana[3].input_power[idx]))\n",
    "f1_axes[0, 1].set_xticks([1, 236])\n",
    "f1_axes[0, 1].set_yticklabels([])\n",
    "\n",
    "\n",
    "# exotic solitary\n",
    "batch = 2 \n",
    "exotic = af[batch, run, :] * scale / omega_sol(run) \n",
    "\n",
    "f1_axes[0, 2].scatter(range(n), exotic, zorder=10, s=40, c=[cmap(norm(0))])\n",
    "idx = np.where(np.abs(exotic) > .5)[0]\n",
    "print(np.c_[ana[3].input_power[idx], af[batch, run, idx]])\n",
    "f1_axes[0, 2].scatter(idx, exotic[idx], zorder=10, s=80, c=[cmap(norm(-1))], marker=markers(ana[3].input_power[idx]))\n",
    "f1_axes[0, 2].set_xticks([1, 236])\n",
    "f1_axes[0, 2].set_yticklabels([])\n",
    "\n",
    "\n",
    "# multisol\n",
    "batch = 119 \n",
    "multisol_d = af[batch, run, :]\n",
    "\n",
    "f1_axes[1, 0].scatter(range(n), multisol_d, zorder=10, s=40, c=[cmap(norm(0))])\n",
    "idx = np.where(np.abs(multisol_d) > .5)[0]\n",
    "for i in idx:\n",
    "    f1_axes[1, 0].scatter(i, multisol_d[i], zorder=10, s=80, c=[cmap(norm(2))], marker=markers(ana[3].input_power[i]))\n",
    "print(np.c_[ana[3].input_power[idx], af[batch, run, idx]])\n",
    "f1_axes[1, 0].set_xlim(175, 205)\n",
    "\n",
    "# multisol\n",
    "batch = 117 \n",
    "multisol_e = af[batch, run, :] \n",
    "\n",
    "f1_axes[1, 1].scatter(range(n), multisol_e, zorder=10, s=40, c=[cmap(norm(0))])\n",
    "idx = np.where(np.abs(multisol_e) > .5)[0]\n",
    "print(np.c_[ana[3].input_power[idx], af[batch, run, idx]])\n",
    "for i in idx:\n",
    "    f1_axes[1, 1].scatter(i, multisol_e[i], zorder=10, s=80, c=[cmap(norm(2))], marker=markers(ana[3].input_power[i]))\n",
    "f1_axes[1, 1].set_xlim(146, 158)\n",
    "f1_axes[1, 1].set_yticklabels([])\n",
    "\n",
    "# multisol\n",
    "batch = 11 \n",
    "multisol_f = af[batch, run, :] \n",
    "\n",
    "f1_axes[1, 2].scatter(range(n), multisol_f, zorder=10, s=40, c=[cmap(norm(0))])\n",
    "idx = np.where(np.abs(multisol_f) > .5)[0]\n",
    "print(idx)\n",
    "for i in idx:\n",
    "    f1_axes[1, 2].scatter(i, multisol_f[i], zorder=10, s=80, c=[cmap(norm(2))], marker=markers(ana[3].input_power[i]))\n",
    "f1_axes[1, 2].set_xlim(83, 92)\n",
    "f1_axes[1, 2].set_yticklabels([])\n",
    "\n",
    "\n",
    "for i in range(3):\n",
    "    f1_axes[1, i].set_ylim(-100, 15)\n",
    "        \n",
    "f1_axes[1, 1].set_xlabel(\"node index\", fontsize=15)\n",
    "f1_axes[0, 0].set_ylabel(r\"$\\frac{\\langle\\dot\\phi_i\\rangle}{\\omega^{lc}_i}$\", rotation=0, fontsize=30, labelpad=20, position=(-0.15, 0.2))\n",
    "f1_axes[1, 0].set_ylabel(r\"$\\langle\\dot\\phi_i\\rangle$\", rotation=0, fontsize=22, labelpad=21, position=(-0.15, 0.4))\n",
    "\n",
    "\n",
    "plt.savefig(\"figures/fig1.pdf\", facecolor=\"w\", bbox_inches = 'tight', pad_inches = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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