{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d8baf161",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.5  0.5]\n",
      "[0.33333333 1.        ]\n",
      "[]\n"
     ]
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import scipy\n",
    "from scipy import signal\n",
    "\n",
    "b = [0, 1, 0]\n",
    "a = [3, -4, 1]\n",
    "\n",
    "r,p,k = scipy.signal.residuez(b,a)\n",
    "\n",
    "print(r)\n",
    "print(p)\n",
    "print(k)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3f776ac0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-6.  6.]\n",
      "[-0.25 -0.5 ]\n",
      "[2.]\n"
     ]
    }
   ],
   "source": [
    "b = [32, 0, 4]\n",
    "a = [16, 12, 2]\n",
    "\n",
    "r,p,k = scipy.signal.residuez(b,a)\n",
    "\n",
    "print(r)\n",
    "print(p)\n",
    "print(k)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "94d1b64b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.24 0.4  0.36]\n",
      "[-0.33333333 -0.33333333  0.5       ]\n",
      "[]\n"
     ]
    }
   ],
   "source": [
    "b = [18, 0, 0, 0]\n",
    "a = [18, 3, -4, -1]\n",
    "\n",
    "r,p,k = scipy.signal.residuez(b,a)\n",
    "\n",
    "print(r)\n",
    "print(p)\n",
    "print(k)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "fd4c595d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-1.+0.j -1.-0.j  2.+0.j]\n",
      "[1.+0.j 1.+0.j 2.+0.j]\n",
      "[]\n"
     ]
    }
   ],
   "source": [
    "b = [0, 1, 0, 0]\n",
    "a = [1, -4, 5, -2]\n",
    "\n",
    "r,p,k = scipy.signal.residuez(b,a)\n",
    "\n",
    "print(r)\n",
    "print(p)\n",
    "print(k)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2445ea0a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.8.8"
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 "nbformat": 4,
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