tire_playground.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Failed to load fast pacejka, using slow pacejka, you should really compile the fast pacejka its like 3x faster\n"
     ]
    }
   ],
   "source": [
    "import tire.tire_solver as tire_solver\n",
    "import tire.tire_utils as tire_utils"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Failed to load fast pacejka, using slow pacejka, you should really compile the fast pacejka its like 3x faster\n",
      "<tire.tire_solver.Tire object at 0x000001E9E95DB250>\n"
     ]
    }
   ],
   "source": [
    "tire = tire_solver.Tire(tire_utils.H_LC0_18X6_7)\n",
    "print(tire)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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      "0 900\n",
      "0.0 False 0.0\n",
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      "0 1100\n",
      "0.0 False 0.0\n",
      "0 1200\n",
      "0.0 False 0.0\n",
      "0 1300\n",
      "0.0 False 0.0\n",
      "0 1400\n",
      "0.0 False 0.0\n",
      "0 1500\n",
      "0.0 False 0.0\n",
      "0 1600\n",
      "0.0 False 0.0\n",
      "0 1700\n",
      "0.0 False 0.0\n",
      "0 1800\n",
      "0.0 False 0.0\n",
      "0 1900\n",
      "0.0 False 0.0\n",
      "0 2000\n",
      "0.0 False 0.0\n",
      "0 2100\n",
      "0.0 False 0.0\n",
      "0 2200\n",
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      "0 2300\n",
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      "0 2400\n",
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      "0 2500\n",
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      "0 2700\n",
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      "0.0 False 0.0\n",
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      "0 4400\n",
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      "0 4900\n",
      "0.0 False 0.0\n",
      "0 done...\n",
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      "100 -4300\n",
      "-0.06761067957330899 False -299.9873154119221\n",
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      "100 -4100\n",
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      "-0.06761067957330899 False -299.9873154119221\n",
      "100 -1000\n",
      "-0.06761067957330899 False -299.9873154119221\n",
      "100 -900\n",
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      "100 -700\n",
      "-0.06761067957330899 False -299.9873154119221\n",
      "100 -600\n",
      "-0.06761067957330899 False -299.9873154119221\n",
      "100 -500\n",
      "-0.06761067957330899 False -299.9873154119221\n",
      "100 -400\n",
      "-0.06761067957330899 False -299.9873154119221\n",
      "100 -300\n",
      "-0.06761067957330899 False -299.9873154119221\n",
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      "100 100\n",
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      "100 200\n",
      "0.027337378165938706 False 199.7330267973983\n",
      "100 300\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 400\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 500\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 600\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 700\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 800\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 900\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 1000\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 1100\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 1200\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 1300\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 1400\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 1500\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 1600\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 1700\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 1800\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 1900\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 2000\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 2100\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 2200\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 2300\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 2400\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 2500\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 2600\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 2700\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 2800\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 2900\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 3000\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 3100\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 3200\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 3300\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 3400\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 3500\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 3600\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 3700\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 3800\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 3900\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 4000\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 4100\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 4200\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 4300\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 4400\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 4500\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 4600\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 4700\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 4800\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 4900\n",
      "0.09371736675195867 True 295.19325858311373\n",
      "100 done...\n",
      "200 -5000\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -4900\n",
      "-0.09871133350052982 True -599.9367009024036\n",
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      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -4600\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -4500\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -4400\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -4300\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -4200\n",
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      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -4000\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -3900\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -3800\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -3700\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -3600\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -3500\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -3400\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -3300\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -3200\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -3100\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -3000\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -2900\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -2800\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -2700\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -2600\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -2500\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -2400\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -2300\n",
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      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -2000\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -1900\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -1800\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -1700\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -1600\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -1500\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -1400\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -1300\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -1200\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -1100\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -1000\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -900\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -800\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -700\n",
      "-0.09871133350052982 True -599.9367009024036\n",
      "200 -600\n",
      "-0.09899159476903924 False -599.9229791245352\n",
      "200 -500\n",
      "-0.041160104859991435 False -499.84826260497283\n",
      "200 -400\n",
      "-0.028135254004397224 False -399.86691166545234\n",
      "200 -300\n",
      "-0.0193511809525823 False -299.43576350202477\n",
      "200 -200\n",
      "-0.012251273212347041 False -199.98462746206567\n",
      "200 -100\n",
      "-0.005934972754043445 False -100.14480237757438\n",
      "200 0\n",
      "7.510999779323573e-05 False -1.2567463311941474\n",
      "200 100\n",
      "0.006133036805125963 False 99.99615944692889\n",
      "200 200\n",
      "0.012610719884905999 False 199.7740046258561\n",
      "200 300\n",
      "0.02005946872397554 False 299.97756128310584\n",
      "200 400\n",
      "0.02962673557442672 False 399.99478651758506\n",
      "200 500\n",
      "0.04518271594038494 False 499.9694847901005\n",
      "200 600\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 700\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 800\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 900\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 1000\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 1100\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 1200\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 1300\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 1400\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 1500\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 1600\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 1700\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 1800\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 1900\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 2000\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 2100\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 2200\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 2300\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 2400\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 2500\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 2600\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 2700\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 2800\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 2900\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 3000\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 3100\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 3200\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 3300\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 3400\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 3500\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 3600\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 3700\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 3800\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 3900\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 4000\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 4100\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 4200\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 4300\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 4400\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 4500\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 4600\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 4700\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 4800\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 4900\n",
      "0.09727373117984629 True 571.9208623539564\n",
      "200 done...\n",
      "300 -5000\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -4900\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -4800\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -4700\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -4600\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -4500\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -4400\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -4300\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -4200\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -4100\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -4000\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -3900\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -3800\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -3700\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -3600\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -3500\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -3400\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -3300\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -3200\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -3100\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -3000\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -2900\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -2800\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -2700\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -2600\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -2500\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -2400\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -2300\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -2200\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -2100\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -2000\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -1900\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -1800\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -1700\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -1600\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -1500\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -1400\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -1300\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -1200\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -1100\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -1000\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -900\n",
      "-0.10294735293248138 True -880.7619508507499\n",
      "300 -800\n",
      "-0.053198011218241276 False -799.9354793148985\n",
      "300 -700\n",
      "-0.03912282121611475 False -699.9648627114456\n",
      "300 -600\n",
      "-0.030363138436822333 False -599.8028239678245\n",
      "300 -500\n",
      "-0.023693211523477968 False -499.9924100133289\n",
      "300 -400\n",
      "-0.018114137497192054 False -399.76952111025014\n",
      "300 -300\n",
      "-0.01317128358790078 False -299.99045500114437\n",
      "300 -200\n",
      "-0.008609327214906155 False -200.46791893856158\n",
      "300 -100\n",
      "-0.00426040761263967 False -100.5553232115831\n",
      "300 0\n",
      "3.3870598185341346e-06 False -0.07952194237240917\n",
      "300 100\n",
      "0.004295581620719298 False 98.6048810220492\n",
      "300 200\n",
      "0.008734549238293095 False 199.9547848623709\n",
      "300 300\n",
      "0.013464213752268694 False 299.52607179820933\n",
      "300 400\n",
      "0.01868839919413066 False 399.98639986666194\n",
      "300 500\n",
      "0.024741574837771448 False 499.76406532183717\n",
      "300 600\n",
      "0.03227919691810873 False 599.977258621992\n",
      "300 700\n",
      "0.04298493020578491 False 699.9910404690553\n",
      "300 800\n",
      "0.06533599558713805 False 799.9950454546137\n",
      "300 900\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 1000\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 1100\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 1200\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 1300\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 1400\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 1500\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 1600\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 1700\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 1800\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 1900\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 2000\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 2100\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 2200\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 2300\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 2400\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 2500\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 2600\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 2700\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 2800\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 2900\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 3000\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 3100\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 3200\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 3300\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 3400\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 3500\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 3600\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 3700\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 3800\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 3900\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 4000\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 4100\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 4200\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 4300\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 4400\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 4500\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 4600\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 4700\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 4800\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 4900\n",
      "0.10080060621523229 True 830.1834074512902\n",
      "300 done...\n",
      "400 -5000\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -4900\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -4800\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -4700\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -4600\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -4500\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -4400\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -4300\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -4200\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -4100\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -4000\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -3900\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -3800\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -3700\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -3600\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -3500\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -3400\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -3300\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -3200\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -3100\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -3000\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -2900\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -2800\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -2700\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -2600\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -2500\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -2400\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -2300\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -2200\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -2100\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -2000\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -1900\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -1800\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -1700\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -1600\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -1500\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -1400\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -1300\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -1200\n",
      "-0.1073338048343718 True -1148.8250947899658\n",
      "400 -1100\n",
      "-0.06741507385997743 False -1099.9521715163703\n",
      "400 -1000\n",
      "-0.0495107927626412 False -999.3455504784122\n",
      "400 -900\n",
      "-0.039784754910104116 False -899.981850580773\n",
      "400 -800\n",
      "-0.03278381876962666 False -799.7375782926703\n",
      "400 -700\n",
      "-0.02715788854346999 False -699.9787833025891\n",
      "400 -600\n",
      "-0.022348091399442337 False -599.2825671514344\n",
      "400 -500\n",
      "-0.018064516561533704 False -499.90424749243346\n",
      "400 -400\n",
      "-0.014133711640543724 False -398.4518229136892\n",
      "400 -300\n",
      "-0.010441059383156264 False -301.4996026907211\n",
      "400 -200\n",
      "-0.00690318076804145 False -201.73340265429158\n",
      "400 -100\n",
      "-0.0034544092117411913 False -100.70382193018143\n",
      "400 0\n",
      "-3.805638102183075e-05 False 1.1132635582495496\n",
      "400 100\n",
      "0.0033993399478779666 False 98.84750545644101\n",
      "400 200\n",
      "0.006913329392617477 False 199.98261143880697\n",
      "400 300\n",
      "0.010567074468477222 False 299.83284204277874\n",
      "400 400\n",
      "0.014439175720515108 False 399.1415407775462\n",
      "400 500\n",
      "0.018636262921471265 False 499.9852023918766\n",
      "400 600\n",
      "0.0233157909124234 False 599.8535819820316\n",
      "400 700\n",
      "0.0287351289169112 False 699.0370070621633\n",
      "400 800\n",
      "0.03537403165213578 False 799.9168257903992\n",
      "400 900\n",
      "0.04432277096623698 False 899.9874586841772\n",
      "400 1000\n",
      "0.05932140151634048 False 999.9634224132864\n",
      "400 1100\n",
      "0.10467099535914556 True 1069.9800791306313\n",
      "400 1200\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 1300\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 1400\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 1500\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 1600\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 1700\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 1800\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 1900\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 2000\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 2100\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 2200\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 2300\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 2400\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 2500\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 2600\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 2700\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 2800\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 2900\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 3000\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 3100\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 3200\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 3300\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 3400\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 3500\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 3600\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 3700\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 3800\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 3900\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 4000\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 4100\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 4200\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 4300\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 4400\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 4500\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 4600\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 4700\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 4800\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 4900\n",
      "0.10455980501287479 True 1069.9803970999417\n",
      "400 done...\n",
      "500 -5000\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -4900\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -4800\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -4700\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -4600\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -4500\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -4400\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -4300\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -4200\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -4100\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -4000\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -3900\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -3800\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -3700\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -3600\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -3500\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -3400\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -3300\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -3200\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -3100\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -3000\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -2900\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -2800\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -2700\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -2600\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -2500\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -2400\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -2300\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -2200\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -2100\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -2000\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -1900\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -1800\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -1700\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -1600\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -1500\n",
      "-0.11193788065467855 True -1404.126128336628\n",
      "500 -1400\n",
      "-0.0978332719756485 False -1399.9834905402631\n",
      "500 -1300\n",
      "-0.06153490774112718 False -1299.811676272988\n",
      "500 -1200\n",
      "-0.04947157181957502 False -1199.6706568506172\n",
      "500 -1100\n",
      "-0.041521606279083266 False -1099.986351599926\n",
      "500 -1000\n",
      "-0.03542256815645882 False -999.6668314371306\n",
      "500 -900\n",
      "-0.030376159278775718 False -899.9592798022848\n",
      "500 -800\n",
      "-0.026001700297700978 False -798.6258111071148\n",
      "500 -700\n",
      "-0.022086200835055223 False -699.7071112679008\n",
      "500 -600\n",
      "-0.01849607611075184 False -599.9733060335362\n",
      "500 -500\n",
      "-0.015141337249998965 False -500.8406973381434\n",
      "500 -400\n",
      "-0.011956979237211608 False -399.99312208135234\n",
      "500 -300\n",
      "-0.008893093581153798 False -299.99487291387845\n",
      "500 -200\n",
      "-0.005909210667092958 False -202.31687908618335\n",
      "500 -100\n",
      "-0.0029706521590745017 False -100.7673027791711\n",
      "500 0\n",
      "-4.5533222521474716e-05 False 1.5544439357535609\n",
      "500 100\n",
      "0.0028970421191000235 False 98.96295456509228\n",
      "500 200\n",
      "0.005889119509258685 False 199.9905691006703\n",
      "500 300\n",
      "0.008966030777070356 False 299.91597588648955\n",
      "500 400\n",
      "0.0121691952653482 False 399.5880176414984\n",
      "500 500\n",
      "0.015549971646808547 False 498.5695747195051\n",
      "500 600\n",
      "0.019176173181958016 False 599.9796334520408\n",
      "500 700\n",
      "0.02314193043137995 False 699.863686246279\n",
      "500 800\n",
      "0.02758809016105873 False 799.3151149585457\n",
      "500 900\n",
      "0.03274304233939879 False 899.9793121825926\n",
      "500 1000\n",
      "0.03902054731962758 False 999.7282652116305\n",
      "500 1100\n",
      "0.04731372060084543 False 1099.966769330249\n",
      "500 1200\n",
      "0.06031019926173498 False 1199.969470807942\n",
      "500 1300\n",
      "0.10864023705311315 True 1291.3114500467752\n",
      "500 1400\n",
      "0.1085673893186097 True 1291.311823205774\n",
      "500 1500\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 1600\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 1700\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 1800\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 1900\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 2000\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 2100\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 2200\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 2300\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 2400\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 2500\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 2600\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 2700\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 2800\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 2900\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 3000\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 3100\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 3200\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 3300\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 3400\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 3500\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 3600\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 3700\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 3800\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 3900\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 4000\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 4100\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 4200\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 4300\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 4400\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 4500\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 4600\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 4700\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 4800\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 4900\n",
      "0.10861690713383325 True 1291.3116467512452\n",
      "500 done...\n",
      "600 -5000\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -4900\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -4800\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -4700\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -4600\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -4500\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -4400\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -4300\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -4200\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -4100\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -4000\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -3900\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -3800\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -3700\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -3600\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -3500\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -3400\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -3300\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -3200\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -3100\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -3000\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -2900\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -2800\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -2700\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -2600\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -2500\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -2400\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -2300\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -2200\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -2100\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -2000\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -1900\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -1800\n",
      "-0.11632171516575132 True -1646.6651249544639\n",
      "600 -1700\n",
      "-0.11642494557363604 True -1646.6647004012823\n",
      "600 -1600\n",
      "-0.07913288764809787 False -1599.749356864797\n",
      "600 -1500\n",
      "-0.06085867138002604 False -1499.9498878350582\n",
      "600 -1400\n",
      "-0.0509650401075492 False -1399.7721021428606\n",
      "600 -1300\n",
      "-0.04390443755285664 False -1299.9873444522977\n",
      "600 -1200\n",
      "-0.03830076483286728 False -1199.5870960639302\n",
      "600 -1100\n",
      "-0.033583959229961116 False -1099.9346747877903\n",
      "600 -1000\n",
      "-0.02945916936762708 False -997.8860621468706\n",
      "600 -900\n",
      "-0.02575388942888151 False -899.4235706503644\n",
      "600 -800\n",
      "-0.02235581638765083 False -799.9127014678721\n",
      "600 -700\n",
      "-0.01918845848688881 False -699.2868286203209\n",
      "600 -600\n",
      "-0.016196178058887338 False -599.9875986746044\n",
      "600 -500\n",
      "-0.013336566380055356 False -499.978690160952\n",
      "600 -400\n",
      "-0.010575983022194566 False -399.9847984663961\n",
      "600 -300\n",
      "-0.007886554068737757 False -299.99412302008705\n",
      "600 -200\n",
      "-0.005244169397295185 False -202.5969742413434\n",
      "600 -100\n",
      "-0.0026271697551187934 False -100.77992313790496\n",
      "600 0\n",
      "-1.4951823081211938e-05 False 0.5713911854655578\n",
      "600 100\n",
      "0.0026127701921441985 False 99.00527160692018\n",
      "600 200\n",
      "0.005277062725702272 False 199.99363806554987\n",
      "600 300\n",
      "0.008000747090756564 False 299.94717543921695\n",
      "600 400\n",
      "0.010809723236060732 False 399.752679935794\n",
      "600 500\n",
      "0.013734629225416975 False 499.166350455009\n",
      "600 600\n",
      "0.016813189961996055 False 597.7408714054909\n",
      "600 700\n",
      "0.02009453302725156 False 699.9686160671243\n",
      "600 800\n",
      "0.02364381119631395 False 799.8422417511566\n",
      "600 900\n",
      "0.0275540132678543 False 899.359465975744\n",
      "600 1000\n",
      "0.03196480380850629 False 999.9895472034127\n",
      "600 1100\n",
      "0.03710266897238552 False 1099.892211144976\n",
      "600 1200\n",
      "0.04337699316991426 False 1199.184505657121\n",
      "600 1300\n",
      "0.05166404377714728 False 1299.881865767045\n",
      "600 1400\n",
      "0.06454619704330912 False 1399.916439253366\n",
      "600 1500\n",
      "0.11274977479124301 True 1494.177709272132\n",
      "600 1600\n",
      "0.11275769154260973 True 1494.1777995971288\n",
      "600 1700\n",
      "0.11266923221535974 True 1494.1779597224759\n",
      "600 1800\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 1900\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 2000\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 2100\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 2200\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 2300\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 2400\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 2500\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 2600\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 2700\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 2800\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 2900\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 3000\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 3100\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 3200\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 3300\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 3400\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 3500\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 3600\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 3700\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 3800\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 3900\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 4000\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 4100\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 4200\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 4300\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 4400\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 4500\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 4600\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 4700\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 4800\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 4900\n",
      "0.11273885034299524 True 1494.1778706129114\n",
      "600 done...\n",
      "700 -5000\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -4900\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -4800\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -4700\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -4600\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -4500\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -4400\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -4300\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -4200\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -4100\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -4000\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -3900\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -3800\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -3700\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -3600\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -3500\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -3400\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -3300\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -3200\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -3100\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -3000\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -2900\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -2800\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -2700\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -2600\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -2500\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -2400\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -2300\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -2200\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -2100\n",
      "-0.1141443387802529 True -1876.4419065558886\n",
      "700 -2000\n",
      "-0.11414339932072019 True -1876.4419132009386\n",
      "700 -1900\n",
      "-0.11417393419596551 True -1876.4417637097451\n",
      "700 -1800\n",
      "-0.07528544152690012 False -1799.9806437743582\n",
      "700 -1700\n",
      "-0.061543984498899036 False -1699.984331173904\n",
      "700 -1600\n",
      "-0.05294572865105341 False -1599.8481687374488\n",
      "700 -1500\n",
      "-0.04649711964002988 False -1499.9900926112948\n",
      "700 -1400\n",
      "-0.04124864696259523 False -1399.5714521365514\n",
      "700 -1300\n",
      "-0.03676678608041848 False -1299.921790459024\n",
      "700 -1200\n",
      "-0.0328141957676925 False -1197.4030985825257\n",
      "700 -1100\n",
      "-0.02924736621538447 False -1099.206317547133\n",
      "700 -1000\n",
      "-0.02596980527269786 False -999.856084497753\n",
      "700 -900\n",
      "-0.022915010709268893 False -898.416585358623\n",
      "700 -800\n",
      "-0.02003428913462979 False -799.9798413745868\n",
      "700 -700\n",
      "-0.017290149433363218 False -699.9504476068428\n",
      "700 -600\n",
      "-0.014653191566609467 False -599.9477219052429\n",
      "700 -500\n",
      "-0.012099356127673766 False -499.9640044012939\n",
      "700 -400\n",
      "-0.009608355123684992 False -399.98290970183854\n",
      "700 -300\n",
      "-0.0071625192037726056 False -299.9949023858735\n",
      "700 -200\n",
      "-0.004745926102973641 False -202.69534622406098\n",
      "700 -100\n",
      "-0.00234380885190122 False -100.74824851713517\n",
      "700 0\n",
      "5.821049172870943e-05 False -2.419272798510036\n",
      "700 100\n",
      "0.0024746951247881315 False 98.98764128877804\n",
      "700 200\n",
      "0.004920754748193593 False 199.99496132045618\n",
      "700 300\n",
      "0.00741264307120133 False 299.9610762698226\n",
      "700 400\n",
      "0.009968439919967235 False 399.82607542099447\n",
      "700 500\n",
      "0.012608928084559328 False 499.43220960277864\n",
      "700 600\n",
      "0.015358776115846882 False 598.4937893361728\n",
      "700 700\n",
      "0.01824843461129499 False 699.9895298853298\n",
      "700 800\n",
      "0.021316263418003908 False 799.9485680807975\n",
      "700 900\n",
      "0.024612958213503285 False 899.7922796920952\n",
      "700 1000\n",
      "0.028207866690005162 False 999.2891355735505\n",
      "700 1100\n",
      "0.03220034060111484 False 1097.897157297372\n",
      "700 1200\n",
      "0.03674313597546139 False 1199.9306944386985\n",
      "700 1300\n",
      "0.04208525982702769 False 1299.5517238937193\n",
      "700 1400\n",
      "0.048688256503325575 False 1399.9781480473446\n",
      "700 1500\n",
      "0.05757061780132893 False 1499.5212869658385\n",
      "700 1600\n",
      "0.07197667035057857 False 1599.5639173470895\n",
      "700 1700\n",
      "0.11698810373718829 True 1678.5785845380747\n",
      "700 1800\n",
      "0.11705097421158969 True 1678.5784952664912\n",
      "700 1900\n",
      "0.1170402577188035 True 1678.5785148934165\n",
      "700 2000\n",
      "0.11702408617555782 True 1678.5785678048696\n",
      "700 2100\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 2200\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 2300\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 2400\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 2500\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 2600\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 2700\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 2800\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 2900\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 3000\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 3100\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 3200\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 3300\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 3400\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 3500\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 3600\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 3700\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 3800\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 3900\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 4000\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 4100\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 4200\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 4300\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 4400\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 4500\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 4600\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 4700\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 4800\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 4900\n",
      "0.11706641850438844 True 1678.5783961829345\n",
      "700 done...\n",
      "800 -5000\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -4900\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -4800\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -4700\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -4600\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -4500\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -4400\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -4300\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -4200\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -4100\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -4000\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -3900\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -3800\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -3700\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -3600\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -3500\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -3400\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -3300\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -3200\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -3100\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -3000\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -2900\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -2800\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -2700\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -2600\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -2500\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -2400\n",
      "-0.11484090554541847 True -2093.456686512601\n",
      "800 -2300\n",
      "-0.11490370772100052 True -2093.4561643325724\n",
      "800 -2200\n",
      "-0.11490348592519209 True -2093.4562616720273\n",
      "800 -2100\n",
      "-0.11483498724028805 True -2093.4567186639983\n",
      "800 -2000\n",
      "-0.07595075217263271 False -1999.9954455181935\n",
      "800 -1900\n",
      "-0.06383771545369014 False -1899.9911871477198\n",
      "800 -1800\n",
      "-0.05580031822509852 False -1799.8699394688642\n",
      "800 -1700\n",
      "-0.04962535835796707 False -1699.9903728837253\n",
      "800 -1600\n",
      "-0.04453431753785471 False -1599.5293978867776\n",
      "800 -1500\n",
      "-0.040154200604284096 False -1499.9052485402701\n",
      "800 -1400\n",
      "-0.03627501239761328 False -1399.9860419922632\n",
      "800 -1300\n",
      "-0.03276597329901845 False -1298.9949858065086\n",
      "800 -1200\n",
      "-0.029539737892646356 False -1199.8004608658491\n",
      "800 -1100\n",
      "-0.02653431886513922 False -1097.9103424445057\n",
      "800 -1000\n",
      "-0.02370459394449425 False -999.9683627464117\n",
      "800 -900\n",
      "-0.021015473298746777 False -899.9077059175131\n",
      "800 -800\n",
      "-0.018439691017398802 False -799.8816826268678\n",
      "800 -700\n",
      "-0.015955055035556477 False -699.8945567411421\n",
      "800 -600\n",
      "-0.013543091577322102 False -599.927536880466\n",
      "800 -500\n",
      "-0.011188017649229947 False -499.96120080809254\n",
      "800 -400\n",
      "-0.00887599453698014 False -399.98462992706567\n",
      "800 -300\n",
      "-0.006594563555926963 False -299.9961207032196\n",
      "800 -200\n",
      "-0.004332191319664948 False -202.65184213567585\n",
      "800 -100\n",
      "-0.0020779423356397284 False -100.6739115287581\n",
      "800 0\n",
      "0.00017906204770750297 False -0.005427358297069418\n",
      "800 100\n",
      "0.0024499867588664436 False 98.90843960518619\n",
      "800 200\n",
      "0.004746471547730795 False 199.99545296897554\n",
      "800 300\n",
      "0.007080917939346996 False 299.9675443925017\n",
      "800 400\n",
      "0.0094669672722595 False 399.8619578427465\n",
      "800 500\n",
      "0.011920013293781177 False 499.56446112544245\n",
      "800 600\n",
      "0.014457894732039185 False 598.8722363211671\n",
      "800 700\n",
      "0.017101795114255906 False 697.4678372667531\n",
      "800 800\n",
      "0.01987802910405766 False 799.9779067789303\n",
      "800 900\n",
      "0.02281893265786563 False 899.9125342448042\n",
      "800 1000\n",
      "0.025967005987913766 False 999.7029211528611\n",
      "800 1100\n",
      "0.029379049253141363 False 1099.1162167977864\n",
      "800 1200\n",
      "0.03313411742102765 False 1197.6640974482225\n",
      "800 1300\n",
      "0.03734944657919597 False 1299.9371020513454\n",
      "800 1400\n",
      "0.04220543925042871 False 1399.6512203348318\n",
      "800 1500\n",
      "0.04801145750289735 False 1499.9913325692987\n",
      "800 1600\n",
      "0.055365760086612134 False 1599.8380536078207\n",
      "800 1700\n",
      "0.06571287222429778 False 1699.968444609627\n",
      "800 1800\n",
      "0.0849250833052559 False 1799.812846635071\n",
      "800 1900\n",
      "0.12148958681568797 True 1844.5137264059986\n",
      "800 2000\n",
      "0.12161410174509787 True 1844.5132961740287\n",
      "800 2100\n",
      "0.12153625443191421 True 1844.513665306686\n",
      "800 2200\n",
      "0.12156010906693474 True 1844.513650821194\n",
      "800 2300\n",
      "0.12159637560808942 True 1844.5133973891482\n",
      "800 2400\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 2500\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 2600\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 2700\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 2800\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 2900\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 3000\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 3100\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 3200\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 3300\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 3400\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 3500\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 3600\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 3700\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 3800\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 3900\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 4000\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 4100\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 4200\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 4300\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 4400\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 4500\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 4600\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 4700\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 4800\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 4900\n",
      "0.12153364160062205 True 1844.5137054408365\n",
      "800 done...\n",
      "900 -5000\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -4900\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -4800\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -4700\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -4600\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -4500\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -4400\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -4300\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -4200\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -4100\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -4000\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -3900\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -3800\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -3700\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -3600\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -3500\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -3400\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -3300\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -3200\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -3100\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -3000\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -2900\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -2800\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -2700\n",
      "-0.11740114167771021 True -2297.709432018441\n",
      "900 -2600\n",
      "-0.11750925453464758 True -2297.7089544081264\n",
      "900 -2500\n",
      "-0.11749024211004258 True -2297.7090142868096\n",
      "900 -2400\n",
      "-0.11742448080016618 True -2297.709434009033\n",
      "900 -2300\n",
      "-0.11750927451191326 True -2297.708915334886\n",
      "900 -2200\n",
      "-0.07920362765379749 False -2199.4334267868426\n",
      "900 -2100\n",
      "-0.06742720547845234 False -2099.991277601832\n",
      "900 -2000\n",
      "-0.059477892565174016 False -1999.8568131892678\n",
      "900 -1900\n",
      "-0.05332354273243713 False -1899.9881699978823\n",
      "900 -1800\n",
      "-0.048229018184838816 False -1799.4377925631918\n",
      "900 -1700\n",
      "-0.043836929508711306 False -1699.8776718312602\n",
      "900 -1600\n",
      "-0.03994408191562167 False -1599.9802320189024\n",
      "900 -1500\n",
      "-0.03642308837361536 False -1498.7414086324968\n",
      "900 -1400\n",
      "-0.03318857123946066 False -1399.7331885524118\n",
      "900 -1300\n",
      "-0.030179576928802992 False -1297.4086474654298\n",
      "900 -1200\n",
      "-0.02735202463082062 False -1199.9540624540555\n",
      "900 -1100\n",
      "-0.024671283528962532 False -1099.8498746102405\n",
      "900 -1000\n",
      "-0.02211075560932853 False -999.7829363537112\n",
      "900 -900\n",
      "-0.01964885836054841 False -899.7757744731232\n",
      "900 -800\n",
      "-0.017267780298477534 False -799.8133927207789\n",
      "900 -700\n",
      "-0.014952489620800903 False -699.8702198262613\n",
      "900 -600\n",
      "-0.01269002114027694 False -599.9246564028418\n",
      "900 -500\n",
      "-0.010468946843589446 False -499.9646552120957\n",
      "900 -400\n",
      "-0.008278969883698079 False -399.987622803691\n",
      "900 -300\n",
      "-0.0061106019543150526 False -299.99732127849757\n",
      "900 -200\n",
      "-0.0039548922247354375 False -202.49065353628416\n",
      "900 -100\n",
      "-0.001803205914181259 False -100.56062843992478\n",
      "900 0\n",
      "0.0003532171174191399 False -0.022985200187434884\n",
      "900 100\n",
      "0.002523416449621911 False 98.75727854715805\n",
      "900 200\n",
      "0.004716814396342604 False 199.99541007179283\n",
      "900 300\n",
      "0.00694340523681865 False 299.9700119710532\n",
      "900 400\n",
      "0.009214102997605977 False 399.879104523972\n",
      "900 500\n",
      "0.011541072694720527 False 499.6323225817791\n",
      "900 600\n",
      "0.013938185090629267 False 599.0729211311791\n",
      "900 700\n",
      "0.016421591108338428 False 697.9584825478153\n",
      "900 800\n",
      "0.019010763814526543 False 799.9881488905321\n",
      "900 900\n",
      "0.02172908547069005 False 899.9543329948201\n",
      "900 1000\n",
      "0.024606097333792043 False 999.8476201053163\n",
      "900 1100\n",
      "0.02767965569360146 False 1099.55052004945\n",
      "900 1200\n",
      "0.03099983528529436 False 1198.8107205709282\n",
      "900 1300\n",
      "0.034635546840370735 False 1299.9870640452032\n",
      "900 1400\n",
      "0.03868500072543907 False 1399.9265063044347\n",
      "900 1500\n",
      "0.04329703699184344 False 1499.6469237594379\n",
      "900 1600\n",
      "0.04871335494637114 False 1598.5625564711938\n",
      "900 1700\n",
      "0.055372130308976746 False 1699.903574643386\n",
      "900 1800\n",
      "0.06420438393237836 False 1799.9930284835218\n",
      "900 1900\n",
      "0.07795286092983433 False 1899.9950606753355\n",
      "900 2000\n",
      "0.12618060109805163 True 1991.983462131936\n",
      "900 2100\n",
      "0.12618840579046686 True 1991.9833032302336\n",
      "900 2200\n",
      "0.12618725067651215 True 1991.9834429221282\n",
      "900 2300\n",
      "0.12610525664839092 True 1991.9835073113964\n",
      "900 2400\n",
      "0.12615125250000797 True 1991.9834936691173\n",
      "900 2500\n",
      "0.12614353449143223 True 1991.983469723919\n",
      "900 2600\n",
      "0.1261786968950589 True 1991.9834486754116\n",
      "900 2700\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 2800\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 2900\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 3000\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 3100\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 3200\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 3300\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 3400\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 3500\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 3600\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 3700\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 3800\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 3900\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 4000\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 4100\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 4200\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 4300\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 4400\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 4500\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 4600\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 4700\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 4800\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 4900\n",
      "0.12615444735901188 True 1991.9834975336057\n",
      "900 done...\n",
      "1000 -5000\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -4900\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -4800\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -4700\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -4600\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -4500\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -4400\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -4300\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -4200\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -4100\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -4000\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -3900\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -3800\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -3700\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -3600\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -3500\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -3400\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -3300\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -3200\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -3100\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -3000\n",
      "-0.12168440447011664 True -2489.199522260349\n",
      "1000 -2900\n",
      "-0.12156561809139602 True -2489.200021697614\n",
      "1000 -2800\n",
      "-0.12156892610336786 True -2489.200043927721\n",
      "1000 -2700\n",
      "-0.12160386682254104 True -2489.199935826744\n",
      "1000 -2600\n",
      "-0.12167579179738902 True -2489.1993841098483\n",
      "1000 -2500\n",
      "-0.12169321804928172 True -2489.19937282764\n",
      "1000 -2400\n",
      "-0.08480769012016512 False -2399.992194692475\n",
      "1000 -2300\n",
      "-0.07234330742226956 False -2299.98497563786\n",
      "1000 -2200\n",
      "-0.06405968066772104 False -2199.796055706086\n",
      "1000 -2100\n",
      "-0.057686638488164105 False -2099.9811697577907\n",
      "1000 -2000\n",
      "-0.05243148625019308 False -1999.2504651870659\n",
      "1000 -1900\n",
      "-0.04791457020340932 False -1899.824293528233\n",
      "1000 -1800\n",
      "-0.04392168445792577 False -1799.9689463053192\n",
      "1000 -1700\n",
      "-0.04031929153306846 False -1698.3527170542452\n",
      "1000 -1600\n",
      "-0.03701843664077948 False -1599.6193695752931\n",
      "1000 -1500\n",
      "-0.03395578248794148 False -1499.9864200752852\n",
      "1000 -1400\n",
      "-0.031085148724614264 False -1399.9441566556177\n",
      "1000 -1300\n",
      "-0.028371370415190094 False -1299.785516137775\n",
      "1000 -1200\n",
      "-0.02578696020669196 False -1199.6560405674873\n",
      "1000 -1100\n",
      "-0.023309899957348085 False -1099.6050285579902\n",
      "1000 -1000\n",
      "-0.020922157204510343 False -999.6282982020595\n",
      "1000 -900\n",
      "-0.01860865931520703 False -899.6990068474424\n",
      "1000 -800\n",
      "-0.016356561575807345 False -799.7869626377317\n",
      "1000 -700\n",
      "-0.014154709632030582 False -699.8687100994547\n",
      "1000 -600\n",
      "-0.011993233876919598 False -599.9310828078492\n",
      "1000 -500\n",
      "-0.009863234968033598 False -499.9706267167281\n",
      "1000 -400\n",
      "-0.007756532674296044 False -399.9907946385145\n",
      "1000 -300\n",
      "-0.005665458445493582 False -299.9983370796019\n",
      "1000 -200\n",
      "-0.003582676352298418 False -202.2279240535153\n",
      "1000 -100\n",
      "-0.001500993672559701 False -100.41742294948523\n",
      "1000 0\n",
      "0.0005869937854734448 False -0.06744178101251919\n",
      "1000 100\n",
      "0.0026889055621488627 False 98.51592390977737\n",
      "1000 200\n",
      "0.0048126985207721405 False 199.9948899490979\n",
      "1000 300\n",
      "0.006966780976099189 False 299.9697304118737\n",
      "1000 400\n",
      "0.009160300304896712 False 399.8848962716406\n",
      "1000 500\n",
      "0.011403366658246315 False 499.66359026835823\n",
      "1000 600\n",
      "0.013707380626004342 False 599.1759497003452\n",
      "1000 700\n",
      "0.01608543560521778 False 698.2242595165513\n",
      "1000 800\n",
      "0.018552820664241385 False 796.5317819808755\n",
      "1000 900\n",
      "0.021128380966946605 False 899.9714636737924\n",
      "1000 1000\n",
      "0.023834023345863545 False 999.9069900920858\n",
      "1000 1100\n",
      "0.02669794343169434 False 1099.7300433714925\n",
      "1000 1200\n",
      "0.029755938759877212 False 1199.2921025195346\n",
      "1000 1300\n",
      "0.03305500819540179 False 1298.3052135276791\n",
      "1000 1400\n",
      "0.03665944377901285 False 1399.9786437270661\n",
      "1000 1500\n",
      "0.040659266024663715 False 1499.8960903903505\n",
      "1000 1600\n",
      "0.04518891002334204 False 1599.5625801126384\n",
      "1000 1700\n",
      "0.05046129067828712 False 1698.4046450364635\n",
      "1000 1800\n",
      "0.05684914861850082 False 1799.9089662080926\n",
      "1000 1900\n",
      "0.06509748661037665 False 1899.1302318697728\n",
      "1000 2000\n",
      "0.07714614377824225 False 1999.7004004358985\n",
      "1000 2100\n",
      "0.10345339922210221 False 2099.8281019175884\n",
      "1000 2200\n",
      "0.13093822370500097 True 2120.9878025969483\n",
      "1000 2300\n",
      "0.13097755938456018 True 2120.987685113595\n",
      "1000 2400\n",
      "0.13096860865017695 True 2120.987710361748\n",
      "1000 2500\n",
      "0.13102979144203664 True 2120.987617478785\n",
      "1000 2600\n",
      "0.13095614354157428 True 2120.987768098458\n",
      "1000 2700\n",
      "0.13102082391679382 True 2120.9874477492567\n",
      "1000 2800\n",
      "0.13090143874238885 True 2120.987803504294\n",
      "1000 2900\n",
      "0.1309284320636392 True 2120.9878091156406\n",
      "1000 3000\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 3100\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 3200\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 3300\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 3400\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 3500\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 3600\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 3700\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 3800\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 3900\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 4000\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 4100\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 4200\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 4300\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 4400\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 4500\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 4600\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 4700\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 4800\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 4900\n",
      "0.13102612165921637 True 2120.9875777140915\n",
      "1000 done...\n",
      "1100 -5000\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -4900\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -4800\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -4700\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -4600\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -4500\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -4400\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -4300\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -4200\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -4100\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -4000\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -3900\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -3800\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -3700\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -3600\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -3500\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -3400\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -3300\n",
      "-0.12732877012484656 True -2667.9285229753773\n",
      "1100 -3200\n",
      "-0.12741616507283604 True -2667.9282356828744\n",
      "1100 -3100\n",
      "-0.12748752697927473 True -2667.92710740388\n",
      "1100 -3000\n",
      "-0.127418859890626 True -2667.928167601427\n",
      "1100 -2900\n",
      "-0.12730812074423983 True -2667.928527773856\n",
      "1100 -2800\n",
      "-0.12731518858969115 True -2667.9285159649176\n",
      "1100 -2700\n",
      "-0.12742267259266993 True -2667.928220758606\n",
      "1100 -2600\n",
      "-0.09347610193206106 False -2599.9485972074544\n",
      "1100 -2500\n",
      "-0.07890224093712406 False -2499.9558306900635\n",
      "1100 -2400\n",
      "-0.0697616817886571 False -2399.623557179499\n",
      "1100 -2300\n",
      "-0.06288430194628555 False -2299.9604957732636\n",
      "1100 -2200\n",
      "-0.057284446349361494 False -2198.8642293200287\n",
      "1100 -2100\n",
      "-0.052512561059251804 False -2099.7103497644216\n",
      "1100 -2000\n",
      "-0.04832151499994916 False -1999.9431721021738\n",
      "1100 -1900\n",
      "-0.044560148052901954 False -1897.6603333584592\n",
      "1100 -1800\n",
      "-0.04112954165718046 False -1799.3835399058396\n",
      "1100 -1700\n",
      "-0.037959361789442966 False -1699.9570244201918\n",
      "1100 -1600\n",
      "-0.03499916179047453 False -1599.9522161019615\n",
      "1100 -1500\n",
      "-0.03221076501594995 False -1499.7388929328374\n",
      "1100 -1400\n",
      "-0.02956455347812663 False -1399.5236007772758\n",
      "1100 -1300\n",
      "-0.02703698979876923 False -1299.396310146525\n",
      "1100 -1200\n",
      "-0.024608957855612627 False -1199.3740965041038\n",
      "1100 -1100\n",
      "-0.022264625553895374 False -1099.4358988886936\n",
      "1100 -1000\n",
      "-0.019990641638951062 False -999.5467996436065\n",
      "1100 -900\n",
      "-0.017775551769059997 False -899.6728718098067\n",
      "1100 -800\n",
      "-0.015609363007744787 False -799.7886956815908\n",
      "1100 -700\n",
      "-0.013483211330560234 False -699.8797526056184\n",
      "1100 -600\n",
      "-0.011389101761401569 False -599.9415841504971\n",
      "1100 -500\n",
      "-0.00931970005436002 False -499.9771786585418\n",
      "1100 -400\n",
      "-0.0072681608640790705 False -399.9936660219447\n",
      "1100 -300\n",
      "-0.005227963299390985 False -304.7375515202074\n",
      "1100 -200\n",
      "-0.0031928719755446562 False -201.88086825894933\n",
      "1100 -100\n",
      "-0.0011565580411168589 False -100.26062486519079\n",
      "1100 0\n",
      "0.0008874369111105832 False -0.1606835402164961\n",
      "1100 100\n",
      "0.002945754380139871 False 98.15759622827207\n",
      "1100 200\n",
      "0.005025358800809612 False 199.99380508946402\n",
      "1100 300\n",
      "0.007133577921483336 False 299.9669891230151\n",
      "1100 400\n",
      "0.009278378491961203 False 399.8821470601988\n",
      "1100 500\n",
      "0.011468513839462373 False 499.670003516419\n",
      "1100 600\n",
      "0.013713780095995026 False 599.2165271360437\n",
      "1100 700\n",
      "0.016025320184711353 False 698.3512193742918\n",
      "1100 800\n",
      "0.018415998965474138 False 796.8380620120079\n",
      "1100 900\n",
      "0.02090138160539002 False 899.9792130255124\n",
      "1100 1000\n",
      "0.02349935979268134 False 999.9340709604409\n",
      "1100 1100\n",
      "0.026232431485228046 False 1099.8126068107415\n",
      "1100 1200\n",
      "0.02912851126874001 False 1199.5159287904712\n",
      "1100 1300\n",
      "0.032223250674905966 False 1298.8517801771548\n",
      "1100 1400\n",
      "0.035563315776565615 False 1397.4798039005236\n",
      "1100 1500\n",
      "0.039212868522786715 False 1499.9597924062944\n",
      "1100 1600\n",
      "0.04326034936129741 False 1599.8298001699916\n",
      "1100 1700\n",
      "0.04783785441125799 False 1699.365881192151\n",
      "1100 1800\n",
      "0.053153051812300615 False 1799.9881482940898\n",
      "1100 1900\n",
      "0.05956290429824942 False 1899.8754609613966\n",
      "1100 2000\n",
      "0.06777021540634208 False 1998.9873853952568\n",
      "1100 2100\n",
      "0.07953243125773266 False 2099.706116190343\n",
      "1100 2200\n",
      "0.10295605904357086 False 2199.951360640021\n",
      "1100 2300\n",
      "0.13594596895926608 True 2231.5265315588704\n",
      "1100 2400\n",
      "0.13593548124514104 True 2231.5264851313345\n",
      "1100 2500\n",
      "0.13590067534258543 True 2231.526599620539\n",
      "1100 2600\n",
      "0.13598029935543465 True 2231.526169660264\n",
      "1100 2700\n",
      "0.1359102025233763 True 2231.5265946068607\n",
      "1100 2800\n",
      "0.13598105488804232 True 2231.526209407465\n",
      "1100 2900\n",
      "0.1359488839379921 True 2231.5264934438974\n",
      "1100 3000\n",
      "0.13589529703169273 True 2231.526644055409\n",
      "1100 3100\n",
      "0.13585216661131042 True 2231.526671177409\n",
      "1100 3200\n",
      "0.13590999906720888 True 2231.526581588992\n",
      "1100 3300\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 3400\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 3500\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 3600\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 3700\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 3800\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 3900\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 4000\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 4100\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 4200\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 4300\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 4400\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 4500\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 4600\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 4700\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 4800\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 4900\n",
      "0.13597018542828368 True 2231.526310561232\n",
      "1100 done...\n",
      "1200 -5000\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -4900\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -4800\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -4700\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -4600\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -4500\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -4400\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -4300\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -4200\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -4100\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -4000\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -3900\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -3800\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -3700\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -3600\n",
      "-0.13506446520563797 True -2833.894890489293\n",
      "1200 -3500\n",
      "-0.13513422814295167 True -2833.894294118566\n",
      "1200 -3400\n",
      "-0.13511749978322884 True -2833.894522705115\n",
      "1200 -3300\n",
      "-0.13503413749399984 True -2833.8949184022163\n",
      "1200 -3200\n",
      "-0.13512974883655882 True -2833.8943583420864\n",
      "1200 -3100\n",
      "-0.13512597262737513 True -2833.894578913567\n",
      "1200 -3000\n",
      "-0.13511191968681172 True -2833.89463938844\n",
      "1200 -2900\n",
      "-0.13515544570528987 True -2833.894112161919\n",
      "1200 -2800\n",
      "-0.10809243196198685 False -2799.983226692147\n",
      "1200 -2700\n",
      "-0.08788316992124612 False -2699.79025874934\n",
      "1200 -2600\n",
      "-0.07701093391462806 False -2599.1133831365014\n",
      "1200 -2500\n",
      "-0.06920610948618588 False -2499.8909067050045\n",
      "1200 -2400\n",
      "-0.06300620353102253 False -2399.9900362931817\n",
      "1200 -2300\n",
      "-0.057805861670506595 False -2299.444914368881\n",
      "1200 -2200\n",
      "-0.05329042599817647 False -2199.8762630176066\n",
      "1200 -2100\n",
      "-0.04927365053085702 False -2099.9804893212454\n",
      "1200 -2000\n",
      "-0.04563560388047966 False -1998.857450734613\n",
      "1200 -1900\n",
      "-0.0422943620312585 False -1899.845149598736\n",
      "1200 -1800\n",
      "-0.03919087487728898 False -1799.9844800272836\n",
      "1200 -1700\n",
      "-0.03628138846032023 False -1699.7495925414678\n",
      "1200 -1600\n",
      "-0.033532314137834314 False -1599.4345512909335\n",
      "1200 -1500\n",
      "-0.030917242708025847 False -1499.1925923866215\n",
      "1200 -1400\n",
      "-0.02841494548873707 False -1399.0793512340156\n",
      "1200 -1300\n",
      "-0.026008019095333505 False -1299.0914485879703\n",
      "1200 -1200\n",
      "-0.02368194155689168 False -1199.1963477796073\n",
      "1200 -1100\n",
      "-0.02142439502285168 False -1099.3528254021217\n",
      "1200 -1000\n",
      "-0.019224766574066753 False -999.5232934533592\n",
      "1200 -900\n",
      "-0.017073771807769398 False -899.6798953910676\n",
      "1200 -800\n",
      "-0.014963165089727785 False -799.8062806799106\n",
      "1200 -700\n",
      "-0.012885511875117732 False -699.8966468083573\n",
      "1200 -600\n",
      "-0.01083400577408162 False -599.9532625362718\n",
      "1200 -500\n",
      "-0.008802317863397524 False -499.9833597791453\n",
      "1200 -400\n",
      "-0.006784469026821834 False -399.99603661723046\n",
      "1200 -300\n",
      "-0.00477471124635949 False -304.1575621539672\n",
      "1200 -200\n",
      "-0.0027674573044170004 False -201.47272674009488\n",
      "1200 -100\n",
      "-0.0007570127615909587 False -100.11542375167022\n",
      "1200 0\n",
      "0.0012624271053647274 False -0.3337728707726342\n",
      "1200 100\n",
      "0.003296821351239814 False 97.64565264134774\n",
      "1200 200\n",
      "0.005352462246659467 False 199.99192325875487\n",
      "1200 300\n",
      "0.007435925192984427 False 299.96147598486607\n",
      "1200 400\n",
      "0.009554381109697939 False 399.87135657758563\n",
      "1200 500\n",
      "0.01171567440234699 False 499.6558403434394\n",
      "1200 600\n",
      "0.013928540152954673 False 599.2097234038632\n",
      "1200 700\n",
      "0.01620284880915839 False 698.378785268335\n",
      "1200 800\n",
      "0.01854990483452469 False 796.9524212194966\n",
      "1200 900\n",
      "0.020983231934317875 False 899.9826944484845\n",
      "1200 1000\n",
      "0.023518208542719726 False 999.9467430273688\n",
      "1200 1100\n",
      "0.026173894708182037 False 1099.852256824708\n",
      "1200 1200\n",
      "0.028973552708972068 False 1199.6255607054927\n",
      "1200 1300\n",
      "0.03194632518536232 False 1299.1243687307733\n",
      "1200 1400\n",
      "0.03512951979820824 False 1398.0963917535128\n",
      "1200 1500\n",
      "0.038572707518046055 False 1499.9799828252235\n",
      "1200 1600\n",
      "0.04234236795689388 False 1599.9161051227984\n",
      "1200 1700\n",
      "0.0465330714210005 False 1699.6872186539913\n",
      "1200 1800\n",
      "0.05128477629585094 False 1798.960357843589\n",
      "1200 1900\n",
      "0.05681949636455399 False 1899.9736516912812\n",
      "1200 2000\n",
      "0.06352120076033324 False 1999.77067879483\n",
      "1200 2100\n",
      "0.07215655489599945 False 2099.9870526781215\n",
      "1200 2200\n",
      "0.0846883496650471 False 2199.4688593818632\n",
      "1200 2300\n",
      "0.11119567408184701 False 2299.998374800296\n",
      "1200 2400\n",
      "0.14097721611649766 True 2323.5999927216085\n",
      "1200 2500\n",
      "0.14100388075331732 True 2323.5998221950194\n",
      "1200 2600\n",
      "0.14101774529458663 True 2323.599785708434\n",
      "1200 2700\n",
      "0.14096746791139383 True 2323.5999001243786\n",
      "1200 2800\n",
      "0.14095559570029503 True 2323.600027434504\n",
      "1200 2900\n",
      "0.14098774739880138 True 2323.5998606063044\n",
      "1200 3000\n",
      "0.1409792322409016 True 2323.5999860485513\n",
      "1200 3100\n",
      "0.14093283158431313 True 2323.6000801142754\n",
      "1200 3200\n",
      "0.14096405210826124 True 2323.6000154899507\n",
      "1200 3300\n",
      "0.14090099303046177 True 2323.600091292582\n",
      "1200 3400\n",
      "0.14099767310403466 True 2323.5998482202394\n",
      "1200 3500\n",
      "0.14102246159462128 True 2323.599679511536\n",
      "1200 3600\n",
      "0.14090511187837063 True 2323.600056483609\n",
      "1200 3700\n",
      "0.14090511187837063 True 2323.600056483609\n",
      "1200 3800\n",
      "0.14090511187837063 True 2323.600056483609\n",
      "1200 3900\n",
      "0.14090511187837063 True 2323.600056483609\n",
      "1200 4000\n",
      "0.14090511187837063 True 2323.600056483609\n",
      "1200 4100\n",
      "0.14090511187837063 True 2323.600056483609\n",
      "1200 4200\n",
      "0.14090511187837063 True 2323.600056483609\n",
      "1200 4300\n",
      "0.14090511187837063 True 2323.600056483609\n",
      "1200 4400\n",
      "0.14090511187837063 True 2323.600056483609\n",
      "1200 4500\n",
      "0.14090511187837063 True 2323.600056483609\n",
      "1200 4600\n",
      "0.14090511187837063 True 2323.600056483609\n",
      "1200 4700\n",
      "0.14090511187837063 True 2323.600056483609\n",
      "1200 4800\n",
      "0.14090511187837063 True 2323.600056483609\n",
      "1200 4900\n",
      "0.14090511187837063 True 2323.600056483609\n",
      "1200 done...\n",
      "1300 -5000\n",
      "-0.1455108419852142 True -2987.099186713148\n",
      "1300 -4900\n",
      "-0.1455108419852142 True -2987.099186713148\n",
      "1300 -4800\n",
      "-0.1455108419852142 True -2987.099186713148\n",
      "1300 -4700\n",
      "-0.1455108419852142 True -2987.099186713148\n",
      "1300 -4600\n",
      "-0.1455108419852142 True -2987.099186713148\n",
      "1300 -4500\n",
      "-0.1455108419852142 True -2987.099186713148\n",
      "1300 -4400\n",
      "-0.1455108419852142 True -2987.099186713148\n",
      "1300 -4300\n",
      "-0.1455108419852142 True -2987.099186713148\n",
      "1300 -4200\n",
      "-0.1455108419852142 True -2987.099186713148\n",
      "1300 -4100\n",
      "-0.1455108419852142 True -2987.099186713148\n",
      "1300 -4000\n",
      "-0.1455108419852142 True -2987.099186713148\n",
      "1300 -3900\n",
      "-0.1455108419852142 True -2987.099186713148\n",
      "1300 -3800\n",
      "-0.14554934486649707 True -2987.0991127761226\n",
      "1300 -3700\n",
      "-0.14552646204682407 True -2987.0990439985717\n",
      "1300 -3600\n",
      "-0.1455172374455821 True -2987.099099860437\n",
      "1300 -3500\n",
      "-0.14558107623355693 True -2987.0989188448552\n",
      "1300 -3400\n",
      "-0.14553987953548375 True -2987.099155738682\n",
      "1300 -3300\n",
      "-0.14556627347210258 True -2987.0989602111667\n",
      "1300 -3200\n",
      "-0.14548856416092432 True -2987.099180245494\n",
      "1300 -3100\n",
      "-0.14560439990245955 True -2987.098677658035\n",
      "1300 -3000\n",
      "-0.14550611787944295 True -2987.099136669322\n",
      "1300 -2900\n",
      "-0.10130041795526581 False -2899.976707586865\n",
      "1300 -2800\n",
      "-0.08668091630051064 False -2799.9620840663083\n",
      "1300 -2700\n",
      "-0.07717290231305889 False -2699.615350582925\n",
      "1300 -2600\n",
      "-0.0699543694515906 False -2599.956773562753\n",
      "1300 -2500\n",
      "-0.06406134007533744 False -2498.775223814872\n",
      "1300 -2400\n",
      "-0.05903865059438143 False -2399.682801401722\n",
      "1300 -2300\n",
      "-0.054631419520722 False -2299.9382107323404\n",
      "1300 -2200\n",
      "-0.05068217979374125 False -2197.6647566051415\n",
      "1300 -2100\n",
      "-0.04708723529399057 False -2099.4657156032545\n",
      "1300 -2000\n",
      "-0.04377223918440195 False -1997.041066248858\n",
      "1300 -1900\n",
      "-0.04068488104658793 False -1899.8499280389372\n",
      "1300 -1800\n",
      "-0.037783978949954285 False -1799.4609822354464\n",
      "1300 -1700\n",
      "-0.035038589266752636 False -1699.0749387054311\n",
      "1300 -1600\n",
      "-0.032423936938698016 False -1598.8145526404887\n",
      "1300 -1500\n",
      "-0.029919962712978195 False -1498.7151284030128\n",
      "1300 -1400\n",
      "-0.02751012704782585 False -1398.760187281267\n",
      "1300 -1300\n",
      "-0.02518056746365652 False -1298.9087445638186\n",
      "1300 -1200\n",
      "-0.022919487220239888 False -1199.1138777347219\n",
      "1300 -1100\n",
      "-0.020716700519029747 False -1099.3338446275447\n",
      "1300 -1000\n",
      "-0.018563287043137127 False -999.537543504247\n",
      "1300 -900\n",
      "-0.01645132465324007 False -899.7060484826734\n",
      "1300 -800\n",
      "-0.01437367871394289 False -799.8316510209821\n",
      "1300 -700\n",
      "-0.012323832715394249 False -699.9154925342248\n",
      "1300 -600\n",
      "-0.010295749035896097 False -599.9645751896112\n",
      "1300 -500\n",
      "-0.00828375159250259 False -499.9887138936174\n",
      "1300 -400\n",
      "-0.0062824241415100285 False -399.9978386885499\n",
      "1300 -300\n",
      "-0.004286518533358431 False -303.46424505596116\n",
      "1300 -200\n",
      "-0.002290860651362193 False -201.03546474344276\n",
      "1300 -100\n",
      "-0.0002902026786623795 False -100.01729914660137\n",
      "1300 0\n",
      "0.0017207938458261734 False -0.62855728434414\n",
      "1300 100\n",
      "0.003747610980952811 False 96.93192178129692\n",
      "1300 200\n",
      "0.0057961049083988195 False 199.98881090120028\n",
      "1300 300\n",
      "0.007872318653706668 False 299.9523126320052\n",
      "1300 400\n",
      "0.009982899547125328 False 399.8514148598769\n",
      "1300 500\n",
      "0.012135091476156042 False 499.62100666708085\n",
      "1300 600\n",
      "0.014336936302688756 False 599.1598082680227\n",
      "1300 700\n",
      "0.01659748188053204 False 698.3224354636895\n",
      "1300 800\n",
      "0.018927033467733112 False 796.9133902967724\n",
      "1300 900\n",
      "0.021337848685612566 False 899.9837837691725\n",
      "1300 1000\n",
      "0.02384371574495977 False 999.9516905640796\n",
      "1300 1100\n",
      "0.026461593375876967 False 1099.8695353325982\n",
      "1300 1200\n",
      "0.02921193310529397 False 1199.6765633965517\n",
      "1300 1300\n",
      "0.03212001629114973 False 1299.2569385384966\n",
      "1300 1400\n",
      "0.03521770981774483 False 1398.406633023507\n",
      "1300 1500\n",
      "0.03854645139466628 False 1499.9874669261346\n",
      "1300 1600\n",
      "0.04216070878793613 False 1599.9484922856036\n",
      "1300 1700\n",
      "0.04613561497091909 False 1699.8102203006783\n",
      "1300 1800\n",
      "0.05057835779882574 False 1799.3711340439866\n",
      "1300 1900\n",
      "0.055650445139385635 False 1899.9916359524698\n",
      "1300 2000\n",
      "0.06161246354894049 False 1999.9259717781663\n",
      "1300 2100\n",
      "0.06893011720835548 False 2099.4663388951612\n",
      "1300 2200\n",
      "0.0785798050533134 False 2199.946258289489\n",
      "1300 2300\n",
      "0.0933365768022659 False 2299.9735024786023\n",
      "1300 2400\n",
      "0.14605134812079 True 2397.208075449552\n",
      "1300 2500\n",
      "0.14603602766426904 True 2397.2080744431873\n",
      "1300 2600\n",
      "0.14615190401198508 True 2397.2077497535256\n",
      "1300 2700\n",
      "0.14603052850617004 True 2397.208074917157\n",
      "1300 2800\n",
      "0.14617528050865017 True 2397.20756251122\n",
      "1300 2900\n",
      "0.14603946818906335 True 2397.2080754730514\n",
      "1300 3000\n",
      "0.14616045920885462 True 2397.207717047264\n",
      "1300 3100\n",
      "0.1461326914959945 True 2397.207947059303\n",
      "1300 3200\n",
      "0.1460583805494352 True 2397.208074431378\n",
      "1300 3300\n",
      "0.14607660312445028 True 2397.208056191287\n",
      "1300 3400\n",
      "0.14612969505492748 True 2397.207919936185\n",
      "1300 3500\n",
      "0.14617347832401717 True 2397.2076982108133\n",
      "1300 3600\n",
      "0.14604271785968545 True 2397.2080640485815\n",
      "1300 3700\n",
      "0.14619226339390387 True 2397.2074701729575\n",
      "1300 3800\n",
      "0.14609528237153563 True 2397.208038489551\n",
      "1300 3900\n",
      "0.1460477619317195 True 2397.2080750628993\n",
      "1300 4000\n",
      "0.1460477619317195 True 2397.2080750628993\n",
      "1300 4100\n",
      "0.1460477619317195 True 2397.2080750628993\n",
      "1300 4200\n",
      "0.1460477619317195 True 2397.2080750628993\n",
      "1300 4300\n",
      "0.1460477619317195 True 2397.2080750628993\n",
      "1300 4400\n",
      "0.1460477619317195 True 2397.2080750628993\n",
      "1300 4500\n",
      "0.1460477619317195 True 2397.2080750628993\n",
      "1300 4600\n",
      "0.1460477619317195 True 2397.2080750628993\n",
      "1300 4700\n",
      "0.1460477619317195 True 2397.2080750628993\n",
      "1300 4800\n",
      "0.1460477619317195 True 2397.2080750628993\n",
      "1300 4900\n",
      "0.1460477619317195 True 2397.2080750628993\n",
      "1300 done...\n",
      "1400 -5000\n",
      "-0.1602667864149333 True -3127.5413891438216\n",
      "1400 -4900\n",
      "-0.1602667864149333 True -3127.5413891438216\n",
      "1400 -4800\n",
      "-0.1602667864149333 True -3127.5413891438216\n",
      "1400 -4700\n",
      "-0.1602667864149333 True -3127.5413891438216\n",
      "1400 -4600\n",
      "-0.1602667864149333 True -3127.5413891438216\n",
      "1400 -4500\n",
      "-0.1602667864149333 True -3127.5413891438216\n",
      "1400 -4400\n",
      "-0.1602667864149333 True -3127.5413891438216\n",
      "1400 -4300\n",
      "-0.1602667864149333 True -3127.5413891438216\n",
      "1400 -4200\n",
      "-0.1602667864149333 True -3127.5413891438216\n",
      "1400 -4100\n",
      "-0.1603338243796371 True -3127.541267536577\n",
      "1400 -4000\n",
      "-0.16035904409572105 True -3127.541219068733\n",
      "1400 -3900\n",
      "-0.16026527245471928 True -3127.54141622191\n",
      "1400 -3800\n",
      "-0.16026194798989274 True -3127.5414161840954\n",
      "1400 -3700\n",
      "-0.1602386796864762 True -3127.5414148917926\n",
      "1400 -3600\n",
      "-0.1603774863987903 True -3127.5411478069354\n",
      "1400 -3500\n",
      "-0.16022180835308097 True -3127.541416568078\n",
      "1400 -3400\n",
      "-0.16031855505255027 True -3127.5413270050253\n",
      "1400 -3300\n",
      "-0.16039348604970133 True -3127.541015040455\n",
      "1400 -3200\n",
      "-0.16033058236764913 True -3127.541337927932\n",
      "1400 -3100\n",
      "-0.12727706651703694 False -3099.876735802961\n",
      "1400 -3000\n",
      "-0.10078015525893326 False -2999.4895363978835\n",
      "1400 -2900\n",
      "-0.08776930362357573 False -2899.987018404516\n",
      "1400 -2800\n",
      "-0.07873062592456516 False -2799.7702735844828\n",
      "1400 -2700\n",
      "-0.07169207056375998 False -2699.975495086276\n",
      "1400 -2600\n",
      "-0.06587049820471792 False -2599.0915463760984\n",
      "1400 -2500\n",
      "-0.06087007767060631 False -2499.780026627918\n",
      "1400 -2400\n",
      "-0.05646074440421462 False -2399.961914200529\n",
      "1400 -2300\n",
      "-0.05249668782061472 False -2298.364122029451\n",
      "1400 -2200\n",
      "-0.048879768709089236 False -2199.7498202677725\n",
      "1400 -2100\n",
      "-0.045539662713829136 False -2099.9857999386686\n",
      "1400 -2000\n",
      "-0.04242497904092724 False -1999.652495647282\n",
      "1400 -1900\n",
      "-0.0394965698881272 False -1899.1438153842903\n",
      "1400 -1800\n",
      "-0.03672392750865748 False -1798.692295189649\n",
      "1400 -1700\n",
      "-0.03408274474537209 False -1698.4067588018004\n",
      "1400 -1600\n",
      "-0.03155326899964616 False -1598.3119285365128\n",
      "1400 -1500\n",
      "-0.029119169154862474 False -1498.3830265397214\n",
      "1400 -1400\n",
      "-0.026766732065457044 False -1398.5722646139081\n",
      "1400 -1300\n",
      "-0.02448427583189159 False -1298.8269277173958\n",
      "1400 -1200\n",
      "-0.022261710854596307 False -1199.1002589092684\n",
      "1400 -1100\n",
      "-0.020090205008057374 False -1099.356863488736\n",
      "1400 -1000\n",
      "-0.01796192389535114 False -999.5742948764935\n",
      "1400 -900\n",
      "-0.015869825962781452 False -899.7421943397819\n",
      "1400 -800\n",
      "-0.013807497946226899 False -799.8600232208557\n",
      "1400 -700\n",
      "-0.011769020014040883 False -699.9341371277619\n",
      "1400 -600\n",
      "-0.009748852717583233 False -599.9747325844094\n",
      "1400 -500\n",
      "-0.007741739804146899 False -499.99304496091634\n",
      "1400 -400\n",
      "-0.005742622298769838 False -399.999078675355\n",
      "1400 -300\n",
      "-0.0037465619917426717 False -302.69800773294213\n",
      "1400 -200\n",
      "-0.0017486588228187102 False -200.61131774632887\n",
      "1400 -100\n",
      "0.00025600490440306594 False -100.01354165232436\n",
      "1400 0\n",
      "0.0022724492632792475 False -1.0994686111829992\n",
      "1400 100\n",
      "0.004305829008744691 False 95.95469802394928\n",
      "1400 200\n",
      "0.006361758981197959 False 199.98371370420176\n",
      "1400 300\n",
      "0.008445894821518673 False 299.9378969735113\n",
      "1400 400\n",
      "0.010564570513098087 False 399.8196229866009\n",
      "1400 500\n",
      "0.012724657587933834 False 499.5619363924206\n",
      "1400 600\n",
      "0.014933773359062515 False 599.0636641394824\n",
      "1400 700\n",
      "0.017200466498097082 False 698.1827211808034\n",
      "1400 800\n",
      "0.019534439284462423 False 796.7312418008562\n",
      "1400 900\n",
      "0.021947222191670175 False 899.9831026403103\n",
      "1400 1000\n",
      "0.024451629898358564 False 999.9513652412345\n",
      "1400 1100\n",
      "0.027063399348059243 False 1099.8724075241203\n",
      "1400 1200\n",
      "0.02980134333915572 False 1199.6913102491565\n",
      "1400 1300\n",
      "0.03268851110529593 False 1299.3051635072034\n",
      "1400 1400\n",
      "0.03575365492644717 False 1398.5349584297476\n",
      "1400 1500\n",
      "0.03903333161207188 False 1497.0912896714665\n",
      "1400 1600\n",
      "0.042576331601028895 False 1599.9612909765933\n",
      "1400 1700\n",
      "0.046446344886881964 False 1699.8602257473926\n",
      "1400 1800\n",
      "0.050733832001491425 False 1799.5431162501734\n",
      "1400 1900\n",
      "0.055570222127599024 False 1898.6462768043514\n",
      "1400 2000\n",
      "0.061159862345449 False 1999.9656950796896\n",
      "1400 2100\n",
      "0.0678446479811511 False 2099.750668673178\n",
      "1400 2200\n",
      "0.07627501754489979 False 2199.9897964077877\n",
      "1400 2300\n",
      "0.08796754499841915 False 2299.6702356162177\n",
      "1400 2400\n",
      "0.108567753077423 False 2399.993101842226\n",
      "1400 2500\n",
      "0.15133693759972766 True 2452.350534833936\n",
      "1400 2600\n",
      "0.15126301336713563 True 2452.350617696014\n",
      "1400 2700\n",
      "0.15131362467285467 True 2452.3505806894445\n",
      "1400 2800\n",
      "0.1512466853488822 True 2452.35061652339\n",
      "1400 2900\n",
      "0.1512884089775274 True 2452.35061025873\n",
      "1400 3000\n",
      "0.1513363617411886 True 2452.350492466927\n",
      "1400 3100\n",
      "0.15127376245457871 True 2452.3505830095055\n",
      "1400 3200\n",
      "0.15135889868108637 True 2452.3504572309125\n",
      "1400 3300\n",
      "0.15134990933982218 True 2452.3505010022513\n",
      "1400 3400\n",
      "0.15136809424671088 True 2452.350418858068\n",
      "1400 3500\n",
      "0.15132926305316519 True 2452.3505161688213\n",
      "1400 3600\n",
      "0.15126056037687735 True 2452.350612643985\n",
      "1400 3700\n",
      "0.1513044334378478 True 2452.3505326296345\n",
      "1400 3800\n",
      "0.15135069200096057 True 2452.3505158413404\n",
      "1400 3900\n",
      "0.15133296628478768 True 2452.3505446738186\n",
      "1400 4000\n",
      "0.15128761870700516 True 2452.3506056160036\n",
      "1400 4100\n",
      "0.15129514654485135 True 2452.350588608182\n",
      "1400 4200\n",
      "0.15127702451505443 True 2452.3506011596514\n",
      "1400 4300\n",
      "0.15127702451505443 True 2452.3506011596514\n",
      "1400 4400\n",
      "0.15127702451505443 True 2452.3506011596514\n",
      "1400 4500\n",
      "0.15127702451505443 True 2452.3506011596514\n",
      "1400 4600\n",
      "0.15127702451505443 True 2452.3506011596514\n",
      "1400 4700\n",
      "0.15127702451505443 True 2452.3506011596514\n",
      "1400 4800\n",
      "0.15127702451505443 True 2452.3506011596514\n",
      "1400 4900\n",
      "0.15127702451505443 True 2452.3506011596514\n",
      "1400 done...\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "{'0':     fx_target  fz  slip   fx\n",
       " 0       -5000   0   0.0  0.0\n",
       " 1       -4900   0   0.0  0.0\n",
       " 2       -4800   0   0.0  0.0\n",
       " 3       -4700   0   0.0  0.0\n",
       " 4       -4600   0   0.0  0.0\n",
       " ..        ...  ..   ...  ...\n",
       " 95       4500   0   0.0  0.0\n",
       " 96       4600   0   0.0  0.0\n",
       " 97       4700   0   0.0  0.0\n",
       " 98       4800   0   0.0  0.0\n",
       " 99       4900   0   0.0  0.0\n",
       " \n",
       " [100 rows x 4 columns],\n",
       " '100':     fx_target   fz      slip          fx\n",
       " 0       -5000  100 -0.067611 -149.993658\n",
       " 1       -4900  100 -0.067611 -149.993658\n",
       " 2       -4800  100 -0.067611 -149.993658\n",
       " 3       -4700  100 -0.067611 -149.993658\n",
       " 4       -4600  100 -0.067611 -149.993658\n",
       " ..        ...  ...       ...         ...\n",
       " 95       4500  100  0.093717  147.596629\n",
       " 96       4600  100  0.093717  147.596629\n",
       " 97       4700  100  0.093717  147.596629\n",
       " 98       4800  100  0.093717  147.596629\n",
       " 99       4900  100  0.093717  147.596629\n",
       " \n",
       " [100 rows x 4 columns],\n",
       " '200':     fx_target   fz      slip          fx\n",
       " 0       -5000  200 -0.098711 -299.968350\n",
       " 1       -4900  200 -0.098711 -299.968350\n",
       " 2       -4800  200 -0.098711 -299.968350\n",
       " 3       -4700  200 -0.098711 -299.968350\n",
       " 4       -4600  200 -0.098711 -299.968350\n",
       " ..        ...  ...       ...         ...\n",
       " 95       4500  200  0.097274  285.960431\n",
       " 96       4600  200  0.097274  285.960431\n",
       " 97       4700  200  0.097274  285.960431\n",
       " 98       4800  200  0.097274  285.960431\n",
       " 99       4900  200  0.097274  285.960431\n",
       " \n",
       " [100 rows x 4 columns],\n",
       " '300':     fx_target   fz      slip          fx\n",
       " 0       -5000  300 -0.102947 -440.380975\n",
       " 1       -4900  300 -0.102947 -440.380975\n",
       " 2       -4800  300 -0.102947 -440.380975\n",
       " 3       -4700  300 -0.102947 -440.380975\n",
       " 4       -4600  300 -0.102947 -440.380975\n",
       " ..        ...  ...       ...         ...\n",
       " 95       4500  300  0.100801  415.091704\n",
       " 96       4600  300  0.100801  415.091704\n",
       " 97       4700  300  0.100801  415.091704\n",
       " 98       4800  300  0.100801  415.091704\n",
       " 99       4900  300  0.100801  415.091704\n",
       " \n",
       " [100 rows x 4 columns],\n",
       " '400':     fx_target   fz      slip          fx\n",
       " 0       -5000  400 -0.107334 -574.412547\n",
       " 1       -4900  400 -0.107334 -574.412547\n",
       " 2       -4800  400 -0.107334 -574.412547\n",
       " 3       -4700  400 -0.107334 -574.412547\n",
       " 4       -4600  400 -0.107334 -574.412547\n",
       " ..        ...  ...       ...         ...\n",
       " 95       4500  400  0.104560  534.990199\n",
       " 96       4600  400  0.104560  534.990199\n",
       " 97       4700  400  0.104560  534.990199\n",
       " 98       4800  400  0.104560  534.990199\n",
       " 99       4900  400  0.104560  534.990199\n",
       " \n",
       " [100 rows x 4 columns],\n",
       " '500':     fx_target   fz      slip          fx\n",
       " 0       -5000  500 -0.111938 -702.063064\n",
       " 1       -4900  500 -0.111938 -702.063064\n",
       " 2       -4800  500 -0.111938 -702.063064\n",
       " 3       -4700  500 -0.111938 -702.063064\n",
       " 4       -4600  500 -0.111938 -702.063064\n",
       " ..        ...  ...       ...         ...\n",
       " 95       4500  500  0.108617  645.655823\n",
       " 96       4600  500  0.108617  645.655823\n",
       " 97       4700  500  0.108617  645.655823\n",
       " 98       4800  500  0.108617  645.655823\n",
       " 99       4900  500  0.108617  645.655823\n",
       " \n",
       " [100 rows x 4 columns],\n",
       " '600':     fx_target   fz      slip          fx\n",
       " 0       -5000  600 -0.116322 -823.332562\n",
       " 1       -4900  600 -0.116322 -823.332562\n",
       " 2       -4800  600 -0.116322 -823.332562\n",
       " 3       -4700  600 -0.116322 -823.332562\n",
       " 4       -4600  600 -0.116322 -823.332562\n",
       " ..        ...  ...       ...         ...\n",
       " 95       4500  600  0.112739  747.088935\n",
       " 96       4600  600  0.112739  747.088935\n",
       " 97       4700  600  0.112739  747.088935\n",
       " 98       4800  600  0.112739  747.088935\n",
       " 99       4900  600  0.112739  747.088935\n",
       " \n",
       " [100 rows x 4 columns],\n",
       " '700':     fx_target   fz      slip          fx\n",
       " 0       -5000  700 -0.114144 -938.220953\n",
       " 1       -4900  700 -0.114144 -938.220953\n",
       " 2       -4800  700 -0.114144 -938.220953\n",
       " 3       -4700  700 -0.114144 -938.220953\n",
       " 4       -4600  700 -0.114144 -938.220953\n",
       " ..        ...  ...       ...         ...\n",
       " 95       4500  700  0.117066  839.289198\n",
       " 96       4600  700  0.117066  839.289198\n",
       " 97       4700  700  0.117066  839.289198\n",
       " 98       4800  700  0.117066  839.289198\n",
       " 99       4900  700  0.117066  839.289198\n",
       " \n",
       " [100 rows x 4 columns],\n",
       " '800':     fx_target   fz      slip           fx\n",
       " 0       -5000  800 -0.114841 -1046.728343\n",
       " 1       -4900  800 -0.114841 -1046.728343\n",
       " 2       -4800  800 -0.114841 -1046.728343\n",
       " 3       -4700  800 -0.114841 -1046.728343\n",
       " 4       -4600  800 -0.114841 -1046.728343\n",
       " ..        ...  ...       ...          ...\n",
       " 95       4500  800  0.121534   922.256853\n",
       " 96       4600  800  0.121534   922.256853\n",
       " 97       4700  800  0.121534   922.256853\n",
       " 98       4800  800  0.121534   922.256853\n",
       " 99       4900  800  0.121534   922.256853\n",
       " \n",
       " [100 rows x 4 columns],\n",
       " '900':     fx_target   fz      slip           fx\n",
       " 0       -5000  900 -0.117401 -1148.854716\n",
       " 1       -4900  900 -0.117401 -1148.854716\n",
       " 2       -4800  900 -0.117401 -1148.854716\n",
       " 3       -4700  900 -0.117401 -1148.854716\n",
       " 4       -4600  900 -0.117401 -1148.854716\n",
       " ..        ...  ...       ...          ...\n",
       " 95       4500  900  0.126154   995.991749\n",
       " 96       4600  900  0.126154   995.991749\n",
       " 97       4700  900  0.126154   995.991749\n",
       " 98       4800  900  0.126154   995.991749\n",
       " 99       4900  900  0.126154   995.991749\n",
       " \n",
       " [100 rows x 4 columns],\n",
       " '1000':     fx_target    fz      slip           fx\n",
       " 0       -5000  1000 -0.121684 -1244.599761\n",
       " 1       -4900  1000 -0.121684 -1244.599761\n",
       " 2       -4800  1000 -0.121684 -1244.599761\n",
       " 3       -4700  1000 -0.121684 -1244.599761\n",
       " 4       -4600  1000 -0.121684 -1244.599761\n",
       " ..        ...   ...       ...          ...\n",
       " 95       4500  1000  0.131026  1060.493789\n",
       " 96       4600  1000  0.131026  1060.493789\n",
       " 97       4700  1000  0.131026  1060.493789\n",
       " 98       4800  1000  0.131026  1060.493789\n",
       " 99       4900  1000  0.131026  1060.493789\n",
       " \n",
       " [100 rows x 4 columns],\n",
       " '1100':     fx_target    fz      slip           fx\n",
       " 0       -5000  1100 -0.127329 -1333.964261\n",
       " 1       -4900  1100 -0.127329 -1333.964261\n",
       " 2       -4800  1100 -0.127329 -1333.964261\n",
       " 3       -4700  1100 -0.127329 -1333.964261\n",
       " 4       -4600  1100 -0.127329 -1333.964261\n",
       " ..        ...   ...       ...          ...\n",
       " 95       4500  1100  0.135970  1115.763155\n",
       " 96       4600  1100  0.135970  1115.763155\n",
       " 97       4700  1100  0.135970  1115.763155\n",
       " 98       4800  1100  0.135970  1115.763155\n",
       " 99       4900  1100  0.135970  1115.763155\n",
       " \n",
       " [100 rows x 4 columns],\n",
       " '1200':     fx_target    fz      slip           fx\n",
       " 0       -5000  1200 -0.135064 -1416.947445\n",
       " 1       -4900  1200 -0.135064 -1416.947445\n",
       " 2       -4800  1200 -0.135064 -1416.947445\n",
       " 3       -4700  1200 -0.135064 -1416.947445\n",
       " 4       -4600  1200 -0.135064 -1416.947445\n",
       " ..        ...   ...       ...          ...\n",
       " 95       4500  1200  0.140905  1161.800028\n",
       " 96       4600  1200  0.140905  1161.800028\n",
       " 97       4700  1200  0.140905  1161.800028\n",
       " 98       4800  1200  0.140905  1161.800028\n",
       " 99       4900  1200  0.140905  1161.800028\n",
       " \n",
       " [100 rows x 4 columns],\n",
       " '1300':     fx_target    fz      slip           fx\n",
       " 0       -5000  1300 -0.145511 -1493.549593\n",
       " 1       -4900  1300 -0.145511 -1493.549593\n",
       " 2       -4800  1300 -0.145511 -1493.549593\n",
       " 3       -4700  1300 -0.145511 -1493.549593\n",
       " 4       -4600  1300 -0.145511 -1493.549593\n",
       " ..        ...   ...       ...          ...\n",
       " 95       4500  1300  0.146048  1198.604038\n",
       " 96       4600  1300  0.146048  1198.604038\n",
       " 97       4700  1300  0.146048  1198.604038\n",
       " 98       4800  1300  0.146048  1198.604038\n",
       " 99       4900  1300  0.146048  1198.604038\n",
       " \n",
       " [100 rows x 4 columns],\n",
       " '1400':     fx_target    fz      slip           fx\n",
       " 0       -5000  1400 -0.160267 -1563.770695\n",
       " 1       -4900  1400 -0.160267 -1563.770695\n",
       " 2       -4800  1400 -0.160267 -1563.770695\n",
       " 3       -4700  1400 -0.160267 -1563.770695\n",
       " 4       -4600  1400 -0.160267 -1563.770695\n",
       " ..        ...   ...       ...          ...\n",
       " 95       4500  1400  0.151277  1226.175301\n",
       " 96       4600  1400  0.151277  1226.175301\n",
       " 97       4700  1400  0.151277  1226.175301\n",
       " 98       4800  1400  0.151277  1226.175301\n",
       " 99       4900  1400  0.151277  1226.175301\n",
       " \n",
       " [100 rows x 4 columns]}"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "run_list = {}\n",
    "for i in range(0,1500,100):\n",
    "    df = pd.DataFrame()\n",
    "    df['fx_target']=range(-5000,5000,100)\n",
    "    df['fz']=i\n",
    "    def apply_tirecalc(row):\n",
    "        # slipr,_,fx,_,_,_ = tire.s_r_ind_locked(row['fz'],0,0,1,row['fz'],0,0,1,row['fx_target'])\n",
    "        slipr,_,fx=tire.s_r(f_z=row['fz'],s_a=0,v_avg=0,fx_target=row['fx_target'],i_a=0,upper=1.1,lower=-1.1)\n",
    "        print(row['fz'],row['fx_target'])\n",
    "        print(slipr,_,fx)\n",
    "        fx *= tire.scaling_factor\n",
    "        return pd.Series([slipr,fx])\n",
    "    df[['slip','fx']] = df.apply(apply_tirecalc,axis=1)\n",
    "    run_list[f'{i}']=df\n",
    "    print(f\"{i} done...\")\n",
    "run_list"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt \n",
    "\n",
    "for key,value in run_list.items():\n",
    "    # print(key)\n",
    "    # print(value['fz'])\n",
    "    plt.plot(value['slip'],(value['fx']/value['fz'])*0.6,label=f'Fz: {key}',marker='.')\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "# plt.xlim((-2,2))\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "venv",
   "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": "3.8.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}