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@cgobat
Last active April 23, 2020 03:02
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Analysis of various electrical components and their effective resistances as a function of voltage
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Ohmicity experiments\n",
"\n",
"Determining the degree to which various circuit components adhere to Ohm's law, $V=IR$"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt, numpy as np, pandas as pd\n",
"from scipy import stats\n",
"from scipy.optimize import curve_fit\n",
"from matplotlib import rcParams\n",
"rcParams['font.family'] = 'serif'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Lightbulbs\n",
"This was a standard incandescent lightbulb, as one might find in a circuitry kit"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"V = np.array([0.05,0.1,0.19,0.37,0.61,0.8,0.98,1.18,1.39,1.62,1.78,2.02,2.25,2.5,3.04,3.47,3.89])\n",
"I = np.array([0.028,0.051,0.087,0.131,0.167,0.191,0.211,0.235,0.259,0.283,0.301,0.326,0.35,0.374,0.422,0.458,0.489])\n",
"R = V/I"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[(0.21604057683056285, 0.001691568133861898), (0.5979725435915293, 0.008034761577640423)]\n",
"0.9986413770548515\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 2400x2100 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"R-squared: 0.9678273146688218\n",
"Resistance: 5.0 ± 0.5 Ω\n",
"8.733712877966234 0.43145917721453486 0.39266285023382785\n"
]
}
],
"source": [
"# First, perform a linear regression on the collected data\n",
"slope, intercept, r_value, p_value, std_err = stats.linregress(V,I)\n",
"\n",
"fit = intercept + slope*V\n",
"maxfit = intercept + (slope+std_err)*np.linspace(0,4,len(I))\n",
"minfit = intercept + (slope-std_err)*np.linspace(0,4,len(I))\n",
"\n",
"powerlaw = lambda x,k,a : k*(x**a) # define a basic power law, kx^a\n",
"params, cov = curve_fit(powerlaw,V,I,p0=[0.5,0.5]) # NLLS regression\n",
"uncertainties = np.sqrt(np.diag(cov)) # uncertainties are the square roots of the diagonal entries of the covariance matrix\n",
"print(list(zip(params,uncertainties)))\n",
"\n",
"residuals = I - powerlaw(V,*params)\n",
"ss_res = np.sum(residuals**2)\n",
"\n",
"ss_tot = np.sum((I-np.mean(I))**2)\n",
"\n",
"r_squared = 1 - (ss_res / ss_tot)\n",
"print(r_squared)\n",
"\n",
"fig = plt.figure(1,figsize=(8,7),dpi=300)\n",
"frame1=fig.add_axes((.1,.3,.8,.6))\n",
"plt.errorbar(V,I, yerr=0.05, xerr=0.05, color=\"navy\", marker=\"\", linestyle=\"\")\n",
"plt.plot(V, fit, 'k--')\n",
"plt.fill_between(np.linspace(0,4,len(I)),minfit,maxfit,color=\"grey\",alpha=0.5)\n",
"\n",
"plt.plot(V,powerlaw(V,*params))\n",
"frame1.set_xticklabels([])\n",
"#plt.title('Lightbulb I-V Curve')\n",
"plt.ylabel(\"Current (A)\")\n",
"plt.xlim((0,4))\n",
"plt.ylim((0,0.6))\n",
"plt.grid(linestyle=\"--\")\n",
"\n",
"\n",
"\n",
"difference = I - fit\n",
"frame2=fig.add_axes((.1,.1,.8,.2)) \n",
"plt.errorbar(V,difference,yerr=0.05,xerr=0.05,marker=\".\",color='navy',linestyle=\"\")\n",
"plt.ylabel('Residuals (A)')\n",
"plt.ylim((-0.85,0.85))\n",
"plt.xlabel(\"Potential (V)\")\n",
"plt.hlines(0,0,5,color=\"k\",linestyle=\"--\")\n",
"plt.xlim((0,4))\n",
"plt.ylim((-.15,.15))\n",
"plt.grid(linestyle=\"--\")\n",
"\n",
"\n",
"plt.show()\n",
"fig.savefig(\"lightbulbgraph.png\",bbox_inches=\"tight\")\n",
"print(\"R-squared:\",r_value**2)\n",
"print(f\"Resistance: {round(np.mean(R),1)} ± {round(np.std(R)/np.sqrt(len(R)),1)} Ω\")\n",
"print(1/slope, 1/(slope-std_err)-1/slope, 1/slope-1/(slope+std_err))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Water"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"water = pd.read_csv(\"water_resistance.csv\")\n",
"water[\"Resistance\"] = water.Voltage/water.Current\n",
"mu = np.mean(water.Resistance)\n",
"alpha = np.std(water.Resistance)/np.sqrt(len(water.Resistance))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"scrolled": true
},
"outputs": [
{
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"text/plain": [
"<Figure size 2400x2100 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"R sqaured: 0.9957084302147244\n",
"Resistance: 1487.1 ± 32.1 Ω\n",
"1625 ± 29 Ω\n"
]
}
],
"source": [
"slope, intercept, r_value, p_value, std_err = stats.linregress(water.Voltage, water.Current)\n",
"fit = intercept + slope*water.Voltage\n",
"maxfit = intercept + (slope+std_err)*np.linspace(0,25,len(water))\n",
"minfit = intercept + (slope-std_err)*np.linspace(0,25,len(water))\n",
"\n",
"\n",
"fig = plt.figure(1,figsize=(8,7),dpi=300)\n",
"frame1=fig.add_axes((.1,.3,.8,.6))\n",
"plt.errorbar(water.Voltage,water.Current,yerr=0.0005, xerr=0.005, color=\"navy\", marker=\".\", linestyle=\"none\")\n",
"plt.plot(water.Voltage, fit, 'k--')\n",
"plt.fill_between(np.linspace(0,25,len(water)),minfit,maxfit,color=\"grey\",alpha=0.5)\n",
"plt.xlim((0,25.1))\n",
"plt.ylim((0,0.017))\n",
"frame1.set_xticklabels([])\n",
"plt.grid(linestyle=\"--\")\n",
"plt.ylabel(\"Current (A)\")\n",
"#plt.title(\"Water as a Resistor\")\n",
"\n",
"difference = water.Current - fit\n",
"frame2=fig.add_axes((.1,.1,.8,.2)) \n",
"plt.errorbar(water.Voltage,difference,yerr=0.0005,xerr=0.005,marker=\".\",color='navy',linestyle=\"\")\n",
"plt.ylim((-0.0015,0.0015))\n",
"plt.xlim((0,25.1))\n",
"plt.ylabel('Residuals (A)')\n",
"plt.xlabel(\"Potential (V)\")\n",
"plt.hlines(0,0,30,color=\"k\",linestyle=\"--\")\n",
"plt.grid(linestyle=\"--\")\n",
"plt.show()\n",
"\n",
"fig.savefig(\"watergraph.png\",bbox_inches=\"tight\")\n",
"R = 1/slope\n",
"alpha_R = 29.\n",
"print(\"R sqaured:\",r_value**2)\n",
"print(f\"Resistance: {round(np.mean(water.Resistance),1)} ± {round(np.std(water.Resistance)/np.sqrt(len(water)),1)} Ω\")\n",
"print(\"%i ± %i Ω\"%(R,alpha_R))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The resistivity of the water can be calculated from the dimensions of the column"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"12.545454545454545 1.882339130191964\n",
"2.1818181818181817 0.1476080256156343\n",
"3.7387548935283483 0.505881042419968\n",
"484.4461797596164 98.25877847989747\n"
]
}
],
"source": [
"lengths = [9.]*7 + [12.,15.,18.,30.]\n",
"diameters = [1.5]*2 + [2.]*5 + [2.5]*2 + [3.]*2\n",
"l = np.mean(lengths)\n",
"d = np.mean(diameters)\n",
"A = np.pi*(d/2)*(d/2)\n",
"alpha_l = np.std(lengths)/np.sqrt(len(lengths))\n",
"alpha_d = np.std(diameters)/np.sqrt(len(diameters))\n",
"alpha_A = np.pi*d/2 * alpha_d\n",
"print(l,alpha_l)\n",
"print(d,alpha_d)\n",
"print(A,alpha_A)\n",
"rho = R*A/l\n",
"alpha_rho = np.sqrt((A/l * alpha_R)**2 + (R/l * alpha_A)**2 + (-R*A/(l**2) * alpha_l)**2)\n",
"print(rho,alpha_rho)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Light-emitting diodes"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"LED = pd.read_csv(\"green_LED.csv\").dropna()\n",
"LED[\"Resistance\"] = LED[\"Voltage\"]/LED[\"Current\"]\n",
"LED[\"Resistance\"][0] = 1.85/0.00009"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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PAf4PcCBwN2CXzFxRabMS2AM4MzO3DGWg0hwUESuANRPlNWvWsGLFiin2kCRJkiRJkiRJkiSNorVr17Jy5cpq1crMXDus8cxljZk5JyLuCrwJ+HNgl+qPgHqG0QrgM8A1EfGmzPzMYEYpSZIkSZIkaVxddNENnHrqRVxyyY2sX7+ZJUsW8pCH3IvjjjuIgw7afdjDkyRJkiQNSSOScyLiUcAngXtRJONMmGranwD2Aj4ZEY8GjsumTRMkSZIkSZIkaeRdeOH1HH/8GVx88Y07/Oy8837BKadcyKpVe3DyyU/k4IOXD2GEkiRJkqRhGvkFxCLicOAbFIk5MDkhJ3bcA4BLgDPKtgG8EHhPn4YoSZIkSZIkaUx9/etXcvjhH2uZmFN13nm/4PDDP8bXv37lgEYmSZIkSRoVI52cExG7AF8GFk1UATcD3wU+ALy11X6ZeUVmPg04ALi43O/lEbGq74OWJEmSJEmSNBYuvPB6nvWs07nttjs6an/bbXfwrGedzoUXXt/nkUmSJEmSRsmoL2v1N8DdKGbAua4s/0dm3j7RICL+tt3OmfmTiHgEcA5wIPB64Ki+jlgaI7feeuuwhyCpQ+vXr2f16tXbyocccghLliwZ4ogkdcr4lZrL+JWay/gdDddc84dhD2Faxx9/RseJORNuu+0OTjjh63zpS8/u06h6Y6+9dh32EGbE+JWay/iVmsv4lZrL572DM+rJOcdQJOZcAjwmM2/q9gCZuSEijgMuBB4fEcsy85Yej1MaS1u3bh32ECR1aOvWraxbt25SWVIzGL9Scxm/UnMZv6Nh773/bdhD6JuLLrph5M8v883DHsKMGL9Scxm/UnMZv1JzGa+DM7LLWkXEAcBuwBbgT2eSmDMhMy8C/h9FMtLBvRmhJEmSJEmSJEmSJEmSNLWRTc4BVpRfz83Mn/bgeBNzqd2/B8eSJEmSJEmSJEmSJEmSpjXKyTn3KL9e1qPj/b782szFkiVJkiRJkiRJkiRJktQ4o5ycc6fy6609Ot6y8uuWHh1PkiRJkiRJkiRJkiRJmtIoJ+f8tvy6V4+O9+Dy6296dDxJkiRJkiRJkiRJkiRpSguGPYApXFt+fUJELMnM9TM9UETsDjyiLP581iOTJEmSJEmS1FdXX/3KYQ9hSmvW/JqnPvWzM97/jDOex8qV9+zhiCRJkiRJo2qUk3POBW4DdgHeAxw3i2OdDOwErAPOm/3QJEmSJEmSJPXTXnvtOuwhTGmvvXbl0EP34Pzzf9H1vqtW7cFTnvKAPoxKkiRJkjSKRnZZq8y8DfgGEMAxEfGpiLhLN8eIiGUR8UngaCCB/8jMLb0frSRJkiRJkqRx8973PpGdd+7u848777yAk09+Yp9GJEmSJEkaRSObnFN6EzCRTPM84JqIOCUinhQRd221Q0QsjojDIuKtwJXA88sf3QH8Q99HLEmSJEmSJGksHHzwck4//VkdJ+jsvPMCTj/9WRx88PI+j0ySJEmSNEpGOjknM38KnEgxew7AUuB44AzgNxFx00TbiLiuLN8MnAO8FrhnuW8Cb8jMqwY3ekmSJEmSJElz3VOe8gDOOecYVq3aY8p2q1btwTnnHONyVpIkSZI0hrqbc3UIMvOfI2IP4ASKJBvYnqyzS6Vcf/eb5RbAKZn5zn6PVRo3CxcuHPYQJHVo0aJF7LfffpPKkprB+JWay/iVmsv4VbcOPng5P/rRsVx00Q189KMXccklv2Lduk0sXbqIhzxkN4499iAOOmj3YQ9zLBi/UnMZv1JzGb9Sc/m8d3AiM6dvNQIi4i+AfwV2ZnuSzpS7ALcBr87MD/ZzbNK4iIgVwJqJ8po1a1ixYsUQRyRJkiRJkiRJkiRJmom1a9eycuXKatXKzFw7rPHMZSO9rFVVZp4C7EORoPNriuSbdtuvy3b7mJgjSZIkSZIkSZIkSZKkYRn5Za2qMvNG4LXAayPiQcCBwN2BZcAtwG+BSzPz8uGNUpIkSZIkSZIkSZIkSSo0KjmnqkzA6TgJJyKOKvf7Wt8GJUmSJEmSJEmSJEmSJFU0NjlnBr4CbGW8zlnqqy1btgx7CJI6tGXLFjZs2LCtvHjxYubPnz/EEUnqlPErNZfxKzWX8Ss1l/ErNZfxKzWX8Ss1l897B2fcElVi2AOQ5pKNGzcOewiSOrRhwwbOOuusbeUjjzySZcuWDXFEkjpl/ErNZfxKzWX8Ss1l/ErNZfxKzWX8Ss3l897BmTfsAUiSJEmSJEmSJEmSJElz1Vgk50TEs4c9BkmSJEmSJEmSJEmSJI2fOZucE4XnRcRa4LPDHo8kSZIkSZIkSZIkSZLGz4JhD2BCROwPPBM4DLgnMB+4Efgh8O+ZeW2Hxwng+cAbgQcA0ZcBS5IkSZIkSZIkSZIkSdMYenJOROwMfBB4AdsTaSa+Pgg4EvjbiHhDZr5ziuPMK4/xBuB+lWNk5Zi393b0kiRJkiRJkiRJkiRJUntDXdYqIhYB3wP+bzmWKLcst4nyTsDbIuJVLY4REXEMcAXwMeD+LY5xB/ARYL8+n5IkSZIkSZIkSZIkSZK0zVCTc4C3AKvK75Mdk3LqdW+JiPtM7BwRhwKXAKcC+7JjUs7tFLPy3C8zT+h0aSxJkiRJkiRJkiRJkiSpF4aWnBMRuwEvZ/KyUwFcC/w3sLr8vpqosxB4Wbn/M4CzgJXsmJSzGXg/sG9mvjQz/3cwZyVJkiRJkiRJkiRJkiRtN8yZc/6MYrkqKGa4eTOwW2buk5mrMvPQzNwH2B04qWwDcHRE3Bf4OLCorJtIytkEnAzsk5l/mZm/HNC5SJIkSZIkSZIkSZIkSTtYMMS+H15+3QI8KTO/36pRZv4KOCkizgW+BewD/AOwhMlJOacAbyvbS5IkSZIkSZIkSZIkSUM3zJlz9qdIrvlEu8Scqsz8HvAJimScP2V7Ys4Xgftn5qtNzJEkSZIkSZIkSZIkSdIoicwcTscRfwCWAo8rE2862efRwJllcSvwisz8QJ+GKKkmIlYAaybKl156KQcccMAQRySpU1u2bGHDhg3byosXL2b+/PlDHJGkThm/UnMZv1JzGb9Scxm/UnMZv1JzGb9Sc1122WUceOCB1aqVmbl2WOOZy4a5rNXS8utlXexzafk1gc+amCMNly+spOaYP38+y5YtG/YwJM2A8Ss1l/ErNZfxKzWX8Ss1l/ErNZfxKzWXz3sHZ5jLWkX59Xdd7HNT5ftTejgWSZIkSZIkSZIkSZIkqeeGmZwDQGZu7aLtlkrxyj4MR5IkSZIkSZIkSZIkSeqZYS5rNSuZ+dtu2kfE3xe75T/2aUiNFxEPAA4B7g3MB35DsezYBd0kUfVpbDsBq4AVwF2BzcB1wPmZeW2P+9oTOBS4L7AQ+D2wtuxrc4/7ug/wEeDxZdUPMvOIXvYhSZIkSZIkSZIkSZKGp7HJOTNwIpCAyTk1EfFM4I3AgW2a3BgRJwPvysxNgxsZRMRS4A3ACcCubdr8CHhzZn53ln09CjgJeHibJjdHxIeBf8rMW2bZVwDHA+8Als7mWMO0eXNPc5Uk9dGmTZu4+uqrt5X33ntvFi1aNMQRSeqU8Ss1l/ErNZfxKzWX8Ss1l/ErNZfxKzWXz3sHZ5ySc1QTETsDHwOeW6m+GPhvYCOwEngMcC/gLcDzI+KozLy6fqw+je9A4KsUM9gA3A58k2JJs7sAhwMPAA4DziwTiF7V7Sw/ETEPeCfwqkr1FcC5wE1lH08EdgFeCzw3Ip6WmRfP8Lz2AU4FjpzJ/qPEP9ZSc2zatIkrrrhiW3n58uW+OZIawviVmsv4lZrL+JWay/iVmsv4lZrL+JWay+e9g2NyzpiKiPnAl4AnlVUbgBdk5ldq7VYAXwHuR5Gsc3ZErMrM6/s8vhXA9ymWsAI4H3hOZl5XaTOPYvaZ91Esw/UKYDFwXJfdnVIeB2AL8DLgI9Ukn3Kpqy8A/we4D/D9iDg8M9d0cU7zgJdTJDotLqsvBx7U5XglSZIkSZIkSZIkSVJDDD05JyIOB2JQ+2mbv2d7Yg7AMzLzzHqjzFwbEUcAlwJ3A/YEPh8Rj8jM7MfAyhl9vsT2xJyfAo/LzHW1sW0FPhgRCXywrD42Is7PzFM77OsYtifmALyk1b6ZeV1EPA64gGImnV2BL0fEgZm5sYN+9gY+wfYls64DXgwsp5i9SJIkSZIkSZIkSZIkzUFDT84Bzp7BPjHD/cS2WWBeV6n6VKvEnAmZ+cuIeAPbE2AeDjwH+FyfhvgKYL9K+eX1xJyaDwN/Dqwqy2+JiM9Psw8RsQR4a6Xq3KmSejLzloh4BfCtsur+wCtrx2jnaRS/tyzH+9rMXBcRL+xgX0mSJEmSJEmSJEmS1FDzhj0AikSbbrYst27303b/AOxcKb+rg30+BtxUKf9TRPQ8uSsi7gK8vlJ1WWZ+b6p9yhl83l2pugfwmg66ew1wz0p52t9DZn4b+Eml6m/KMXfiauAxmfmS6RKHJEmSJEmSJEmSJEnS3DAKyTnZ5Tbb/cZaRCwDnlupujwzL55uv8zcDJxeqdoXeEyPhwfFjDy7Vsqf7nC/M4BbKuUXR0TbpKzyZy+uVP0B+EaHfX2q8v2uFGOezpnA/pn5/Q77kCRJkiRJkiRJkiRJc8AoLGt13YD6ue+A+hl1RwGLKuWzutj3bOD4SvmZbF/iqVeeWSt3NL7MvC0izgceV1btDjwMOLfNLg8DllfKPyoTkDpxdq38TLYv+dVufGs7PLYkSZIkSZIkSZIkSZpDhp6ck5l7D6KfiNg6iH4a4Kha+YIu9l09zbFmpZzV55GVqs3AZV0cYjXbk3OgGF+75JzZ/B4uBm4HdirLj4yIZZl5yxT7SJIkSZIkSZIkSZKkMTQKy1ppsB5aK1/e6Y6Z+XPgtkrVPSJiebv2M7A/kxPGrsrMTV3sX5+d5iFTtJ3N7+E24KpK1QJgZaf7S5IkSZIkSZIkSZKk8WFyzhiJiJ2BfWrVv+jyMNfXyitmPqId1I/V7dh+Oc3xhtWXJEmSJEmSJEmSJEkaU8Nc1uq/gJzD/Y2iBzA5IWsrcGOXx/glkxN8HgicOctxVY9V76sb9fbLI2JpZq6rVpbLZ+3e477qYx95EXFP4B5d7rZvtbBx40ZuuWX61bzmzZvHkiVLdqhfv349W7d2vuLcokWLWLRo0aS6LVu2sGHDho6PAbB48WLmz58/qW7Tpk1s2tT5RE2eU3ueU3vDPKf6WDdv3rxDm6adU91c+Heq85zaG6dzqh9nquM25Zzm4r+T5+Q5tdJu3E0+J5h7/07gOU1lXM9puutvE89pOp5Te55Te6N+TjD16+dWRv2c5uK/k+dU8JxaX3+bfk6teE7teU7tNeGcqjo5vyac01z8d/KcPKe6jRs3dtWXZm5oyTmZecRc7m9E3bVW3pCZW1q2bK+eiXGXWYynrj6+6bM+pm9/F2Bdra7eTy/66uXvYVBeCrx5Ngf48Y9/zM033zxtu6VLl/KoRz1qh/rVq1ezbl39n6e9/fbbjwc+cHIe1IYNGzjrrLM6PgbAkUceybJlyybVXX311VxxxRUdH8Nzas9zam+Uzun666/n7ne/+6S6pp/TXPx38pzaG+dzWr16ddtjNPWcpuI5tec5tTdK57Rw4cJtN1nmzSs+K9H0c5qL/06eU3ue0/axVs2Fc6rznNrznNobxXOaN28eS5cuBYoHG1O9fm5lFM+paq78O1V5TgXPaUerV6+ec+cEc+/fCTynqYzLOdUTADq5/o76Oc3FfyfPqeA5TXbdddd11Zdmbpgz52jwltbKnaf/bXfbNMecjdmOrz62VsdsVzfbvnr5e5Ckvlu4cOGwhyBJ0ljYe++9d7jJIkmS+mfJkiXbHpTccsstXT/YkCRJ3bvzne887CFI0sibN30TzSH1BJJWySzTGWRyTrfjm01yzmz7MjlHkiRJkiRJkiRJkiTtIDJz2GMYGxHxPuBlA+jqpMw8sUX/zwc+Xan6RWbep5sDR8SngD+tVH04M0+Y0Sh3PPZ3gMdWqv4pM9/Uxf7zgTtq1Ydl5nm1docBP6y1W9DNEl8R8U/AGypV38nMx3e6f+U4LwQ+Vqn6waCWYIuIewL36HK3fYGvThTOP/98HvSgB02701xad3GC59Se59Se59Sa59Se59Se59Sa59Se59Se59Sa59Se59Se59Sa59Se59Se59Sa59Se59Se59Sa59Se59Se59Sa59Se59Se59Sa59Se59TebM7p8ssv59BDD61WrczMtV0NQB0xOWeARiA556nA1ypVv83MrpIzIuKLwNGVqn/NzNfMaJQ7HvtLwJ9Uqt6Zma/tYv8lQH0Rv/0zc02t3f7AZbV2SzKz479yEfFO4K8rVV/KzGd2un/lOC9kSMk5MxERK4Btv881a9awYsWKIY5IkiRJkiRJkiRJkjQTa9euZeXKldUqk3P6xGWtxsv6WnlRy1ZT27lWrifDzMZsx1cfG7QeX72fXvTVy9+DJEmSJEmSJEmSJEmaIxYMewBj5hTgWwPo58o29b+vlRdHxPxulnMCltXKN3Wx73Tq46v3NZ1W7VuNr97PxL6t6jvtq5e/h8a49dZbhz0ESR1av349q1ev3lY+5JBDWk65KGn0GL9Scxm/UnMZv1JzGb9Scxm/UnMZv1Jz+bx3cEzOGaBy+qdhTgF1JbCV7TMmzQPuBfyyi2Pcu1b+aQ/G1e5Y9b6mU29/Q2beUm+UmTdHxI0U517d95pZ9NXL30NjdLNmoqTh2rp1K+vWrZtUltQMxq/UXMav1FzGr9Rcxq/UXMav1FzGr9RcxuvguKzVGMnMjcBVteo9ujzM8lp5zcxHtIP6sbodWz1hZqqxDbIvSZIkSZIkSZIkSZI0pkzOGT8X18oP7nTHiLgfsHOl6reZeX1PRlX4MVBdYmvfiFjUxf4ra+VLp2g7m9/DzsA+laotmJwjSZIkSZIkSZIkSZJaMDln/JxRK/9xF/vW235tlmOZpFyC6geVqp2AA7s4RDfjm83v4aEUY5vwg1bLZ0mSJEmSJEmSJEmSJJmcM36+BmyulI/oYt962y/OdjAt1I9Z77OlcjabQytVNwI/nGKXHwI3VMqrImJhJ321GFM/fg+SJEmSJEmSJEmSJGkOMDlnzGTmzcDnK1UPioiHTrdfmbjyrErV1cB3ezw8KMZ2c6X8px3u91RgWaV8amZubde4/NmplapdgSd32Fd1TPXfpyRJkiRJkiRJkiRJ0jYm54ynNwGbKuVXd7DPMcBdKuU3Zubt0+0UEXtGxMsj4viIuMt07TPz98BbK1UHRMSjp+kjgFdVqn4HvGO6vso2v6mUX9WuYaWvxwMrKlVvL8csSZIkSZIkSZIkSZK0A5NzxlBmXgu8s1L1goh4TLv2EbEc+OdK1Y+Az07XT0QcBPwEeC/wIWBNeazp/BvwP5XyeyNiyRTtjwdWVcpvyMxbpuskM9cBf1epOjwijm3XPiKWAidXqn4OvGe6fiRJkiRJkiRJkiRJ0vgyOWd8nQh8u1L+SkQ8rd4oIlYAPwDuVlb9L/CczMwO+ngNsLhSXg68dLqdMnMjcDTwh7LqQcB3ImLP2tjmRcQJwPsr1adl5oc6GNtEX6cCH61Ufaic5WdSbJR9nwk8oKy6GTg6M2/ttC9JkiRJkiRJkiRJkjR+Fgx7ABqOzLwjIp4BfBx4FkUSzVci4iLgv4GNFMs3PZbtSVw/AZ6amb/osJtoUddRQlhm/jgiHgV8FbgPxcw4/xMR3wSupFhi63Bgv8pu7wde2eHYqo4HNgCvAOZTzPLz6oj4L4oknPsDTwQWlu1/CTwtMy/tppOIOA3482maPTIidkh8ysxWv0tJkiRJkiRJkiRJkjTiTM4ZY+UMNc+OiGcDbwT2Bw4qt6pfUyzn9K+ZeVsXXbwLOAq4c1m+EfhAF+O7OCL2p1h66gRgF2CH2X2A84E3Z+Z3uhhbtZ+twCsj4gzgJOAwiqSf/WpNbwE+AvxjZt48k74kSZIkSZIkSZIkSdJ4MTlHZOYXgC9ExAOBQyiWn5oP/Ba4DFidmVtmcNwLIuLBFAk6m4HTM/P3XR7jZuBvIuJNFEkzKyhmzdlMscTWeZl5Tbdja9PXd4HvRsR9KWbq2ZNitpybgLVlX5tmcfwXAi+c/UhHx8KFC6dvJGkkLFq0iP32229SWVIzGL9Scxm/UnMZv1JzGb9Scxm/UnMZv1Jz+bx3cCJzhxV0JKmliFgBrJkor1mzhhUrVgxxRJIkSZIkSZIkSZKkmVi7di0rV66sVq3MzLXDGs9cNm/YA5AkSZIkSZIkSZIkSZLmKpNzJEmSJEmSJEmSJEmSpD4xOUeSJEmSJEmSJEmSJEnqkwXDHoCk5tqyZcuwhyCpQ1u2bGHDhg3byosXL2b+/PlDHJGkThm/UnMZv1JzGb9Scxm/UnMZv1JzGb9Sc/m8d3BMzpE0Yxs3bhz2ECR1aMOGDZx11lnbykceeSTLli0b4ogkdcr4lZrL+JWay/iVmsv4lZrL+JWay/iVmsvnvYPjslaSJEmSJEmSJEmSJElSn5icI0mSJEmSJEmSJEmSJPWJyTmSJEmSJEmSJEmSJElSn5icI0mSJEmSJEmSJEmSJPWJyTmSJEmSJEmSJEmSJElSn5icI0mSJEmSJEmSJEmSJPWJyTmSJEmSJEmSJEmSJElSn5icI0mSJEmSJEmSJEmSJPWJyTmSJEmSJEmSJEmSJElSn5icI0mSJEmSJEmSJEmSJPWJyTmSJEmSJEmSJEmSJElSn0RmDnsMkhoiIlYAaybKl156KQcccMAQRySpU1u2bGHDhg3byosXL2b+/PlDHJGkThm/UnMZv1JzGb9Scxm/UnMZv1JzGb9Sc1122WUceOCB1aqVmbl2WOOZyxYMewCSmssXVlJzzJ8/n2XLlg17GJJmwPiVmsv4lZrL+JWay/iVmsv4lZrL+JWay+e9g+OyVpIkSZIkSZIkSZIkSVKfmJwjSZIkSZIkSZIkSZIk9YnJOZIkSZIkSZIkSZIkSVKfLBj2ACQ11+bNm4c9BEkd2rRpE1dfffW28t57782iRYuGOCJJnTJ+peYyfqXmMn6l5jJ+peYyfqXmMn6l5vJ57+CYnCNpxvxjLTXHpk2buOKKK7aVly9f7psjqSGMX6m5jF+puYxfqbmMX6m5jF+puYxfqbl83js4LmslSZIkSZIkSZIkSZIk9YnJOZIkSZIkSZIkSZIkSVKfmJwjSZIkSZIkSZIkSZIk9YnJOZIkSZIkSZIkSZIkSVKfmJxeE87KAAAgAElEQVQjSZIkSZIkSZIkSZIk9YnJOZIkSZIkSZIkSZIkSVKfmJwjSZIkSZIkSZIkSZIk9YnJOZIkSZIkSZIkSZIkSVKfmJwjSZIkSZIkSZIkSZIk9YnJOZIkSZIkSZIkSZIkSVKfLBj2ACQ117x55vdJTTFv3jyWLl06qSypGYxfqbmMX6m5jF+puYxfqbmMX6m5jF+puYzXwYnMHPYYJDVERKwA1kyU16xZw4oVK4Y4IkmSJEmSJEmSJEnSTKxdu5aVK1dWq1Zm5tphjWcuMw1KkiRJkiRJkiRJkiRJ6hOTcyRJkiRJkiRJkiRJkqQ+MTlHkiRJkiRJkiRJkiRJ6hOTcyRJkiRJkiRJkiRJkqQ+WTDsAUhqrltvvXXYQ5DUofXr17N69ept5UMOOYQlS5YMcUSSOmX8Ss1l/ErNZfxKzWX8Ss1l/ErNZfxKzeXz3sExOUfSjG3dunXYQ5DUoa1bt7Ju3bpJZUnNYPxKzWX8Ss1l/ErNZfxKzWX8Ss1l/ErNZbwOjstaSZIkSZIkSZIkSZIkSX1ico4kSZIkSZIkSZIkSZLUJybnSJIkSZIkSZIkSZIkSX1ico4kSZIkSZIkSZIkSZLUJybnSJIkSZIkSZIkSZIkSX1ico4kSZIkSZIkSZIkSZLUJybnSJIkSZIkSZIkSZIkSX1ico4kSZIkSZIkSZIkSZLUJwuGPQBJjbKwWrjqqqtYsmTJsMYiqQvr16/nuuuu21a+/PLLjV+pIYxfqbmMX6m5jF+puYxfqbmMX6m5jF+pua666qp61cJW7TR7kZnDHoOkhoiIo4CvDnsckiRJkiRJkiRJkqSee1pmfm3Yg5iLXNZKUjd2GfYAJEmSJEmSJEmSJEl94fPgPjE5R1I3lg17AJIkSZIkSZIkSZKkvvB5cJ8sGPYAJDXKhbXyM4GfDmMgkrq2L5OXpXsa8PMhjUVSd4xfqbmMX6m5jF+puYxfqbmMX6m5jF+puR4IfLFSrj8PVo+YnCOpG+tr5Z9m5tqhjERSVyKiXvVz41dqBuNXai7jV2ou41dqLuNXai7jV2ou41dqrhbxW38erB5xWStJkiRJkiRJkiRJkiSpT0zOkSRJkiRJkiRJkiRJkvrE5BxJkiRJkiRJkiRJkiSpT0zOkSRJkiRJkiRJkiRJkvrE5BxJkiRJkiRJkiRJkiSpT0zOkSRJkiRJkiRJkiRJkvrE5BxJkiRJkiRJkiRJkiSpT0zOkSRJkiRJkiRJkiRJkvrE5BxJkiRJkiRJkiRJkiSpT0zOkSRJkiRJkiRJkiRJkvrE5BxJkiRJkiRJkiRJkiSpTxYMewCSGuU3wEm1sqRmMH6l5jJ+peYyfqXmMn6l5jJ+peYyfqXmMn6l5jJ+ByQyc9hjkCRJkiRJkiRJkiRJkuYkl7WSJEmSJEmSJEmSJEmS+sTkHEmSJEmSJEmSJEmSJKlPTM6RJEmSJEmSJEmSJEmS+sTkHEmSJEmSJEmSJEmSJKlPTM6RJEmSJEmSJEmSJEmS+sTkHEmSJEmSJEmSJEmSJKlPTM6RJEmSJEmSJEmSJEmS+sTkHEmSJEmSJEmSJEmSJKlPTM6RJEmSJEmSJEmSJEmS+sTkHEmSJEmSJEmSJEmSJKlPTM6RJEmSJEmSJEmSJEmS+sTkHEmSJEmSJEmSJEmSJKlPFgx7AJIkSZIkSZIkSZI0jiLi3sAfAcuBuwC3AzcBPwcuzMz1QxweABFxIHAQsFtZ9Svgosy8tMf97AI8HLg/sARYD/wMODcz/9DjvgZyTprbjN9tcftHwN7AXYH5FL+D64HVmfmrXvQzF0RmDnsM0liJiOOAdwK7lFVHZubZwxsRRMQ+FH80dwOWAbdR/NFcC1yamZt60MfebP/Dv2ulj58CF2fmbbPtQ+q3cY3fQYuIOwMPAx5I8bu+Fbga+GFm/nqYY1NzGb9Sc41o/O4N/DFwD4px/Q64AbggM2/ocV97AocC9wUWAr+n+DtxfmZu7mE/OwGrgBUUN1I2A9eV/Vzbq340XsY1fptwc1aazrjG76B5/VU/GL9SM0TEYcCzgWcAe07RdCvwPeB9mfm1QYxtQkTMA44DXgfs26bZ1cDbgQ9n5tZZ9LUv8I/AM4GdWjS5A/gy8IbM/Nks+hnYOWnuMn63xexzKWL2QCCmaP5j4IPAv3f7PDgijgDO6mafmksz8yGz2L+3MtPNzW0AG8XN9O8AWduOGNJ47gz8LXBVizFVt1uBjwEP7vL484DHAh+hyMCcqo/NwBeBR8zwXE6b5vjTbX817P8fbqO9jWH8HjHLmLpkhue1G3BKOe5Wx90CfBM4eNj/J9yas41T/PbgeljfXjhNf2fP8vhPH/b/D7fR3kYwfpdR3NC4eor/11uA/wKO6kF/jwLOmaKvP1DcQFk2y36WAm+lSBxo19cPgccM+/+EW3O2cYxf4DDgPcC101z/tpS/m5n2c+Isr7/vGfb/D7fR3sYtfoG9ZhlTf5jheXn9dev5Nk7x24PrYX07cZr+Tpvl8b3/7LZto3iYf0Ht/8hWYDXFw+t/pnhd+W1gY63d14HdBjTOu1IkFVT7Pwd4L3AycG7tZ2cDd5thX89j8j3h3wKfBt5Wfv1t5WcbgReM+jm5zc3N+E2AhwJforiGV4/xP8DHy7h9B/CFWuwmcDldPt9hSM+r+rW5rJXUZxERwF9Q/DFaMuThABARBwOfB/apVF8HfJ/iEwuLKT7ldxhwJ+CFwPMj4k2Z+fZpjh3Ai4DXAvtVfnQHcB5wGcWDhGXAQyg+HbQTcDRwdEScBvxl+klCjYBxi99hiohHAadTvGgE2AD8J8UNnN2ARwN7AE8AHhcRf5eZbxvGWNUMxm9P+MkgDcWIxu8jgc8Cu5dVSXEz5gLgFuBeFMk09wUOBw6PiC8AL8rMDV32NY/ik86vqlRfQXHj5CbgAcATKT5x/FrguRHxtMy8eAbndSDw1XLcUMzu8U3gSorZPg4v+zsMODMiTgZelX5yUG2MY/xGxDOAvwMOrlQncCFwEcXMAIuBBwGPAHam+CDLYyPiG8Cx6RTfGgHjGL/D4vVXvWb89oTxpUE6he1LywD8ADghM6+oN4yI3YF/A55VVj0ZODsiHpl9nGE8IpYAZ1KshgDwa+DozDy31u7hFLPZ3AN4JMV165GZua6Lvp4PfIrts258GPjr6jOicjzvAl5M8Xr6ExERmfnJUTwnzWnGL/wN8CeV8rUUv4NvtxjLzhT3rk6kmNThgcBZEfG4zDyv23ObE4adHeTmNpc34H5M/lT5/1K8+ahm7B0x4DEdwORP5dwOvAKY36LtQykyHavjfdM0x9+ZHbMSTwf2mOJ3dFat/X8Bd+7inE5r0aefXHCb1TaO8VvZ94hZxlRXmcjAkRTL+Uzs/1Xg7rU2C4GTav28cdj/T9xGcxvX+O3B9bC63QHsOU1/Z8+yD2fOcdthG9H4/ZMyJib6Xwsc1KbtMUz+tN+ZwMIu+/tQLRZPAObV2uwJnF9pdxOwsst+VlAkDUwc47x63FPcOHlJ7fxPHfb/E7fR3MY1foEba+d4NrBfm7a7U3x6sNr+cuCeXZzTibO8/jpzjtsO27jGb7nvXrOMqa5mzvH669brbVzjtwfXw/p22DT9nTbL43v/2W3bxuTXj98DdpqmfVAkr1T/T32rz2P8eKWv25ji/SbFPa9Nlfaf6qKfB9f+BnxymvafrbTdONW4hnVObnN7M34T4HOV9tfT5vlvbZ8X134HvwJ26fB8jij3uWbY//49+fcZ9gDc3ObqBrySYuaHiT80H6GYLeaa2h+gIwY4pnkUn96r9v/yafbZk8kPE+8AHjJF+3pyzic6GNdO7PiA70NdnNdp5T4nDvvf3W1ubOMav5X9BvZiB7gnReb2xBjPmuoFLfAvlbZbgccN+/+L22ht4xy/levh2TMc50sr/X25g/YT1+4XDvvf3W1ubCMavw9l8o3Ca5nmITrFLG9bK/t8sIv+jqmd63FTtF1GMaPORNsrgTt12M/OwE8r+14OLJ2i/QmdjsttPLdxjl8GfHOW7Q8jTxv2v7vb3NjGOX7L/faa2GcA5+X1162n2zjHb+V6eM0Mx/mkSn8XddD+NLz/7NajrfL68XZg3w732QW4uRbbj+/T+A6p9fOPHezzL7V9Du2wr/+s7HMTtQ9stmh/T4qVGbp6HT3Ic3Kb25vxmzA5OefPuxjb2bV+/qXD/Y6YzTV/1LZ5SOqXk4A7U7wZemxmvjgzbxnukHg0xXIZE64CPjDVDpl5HcW0axPmA6/psL+bKGYFmFJm3g4cy+TpQ4+LiAd32I/Ua8bv4JxIMW0iFC9o/6L8m9DOSRRLXUHxYONdETG/f8NTAxm/M/fSyvfv63NfUiujGL/vplhmbsKrc5qphzPzW0B1au0XR8RB7dpPKKcdfmul6tzMPHWKfm5h8mvt+1M8oOnEK5i8BO3Lc+ppiz9M8cn+CW+JiKUd9qXxMNbxW7oDOH6a17JkcXfxZRSzGkx4fEQ8vsN+pF4zfgfH6696zfiduZdXvvf9r4bl7Mz8eScNM/NmiqXSq57b+yEBUF1a/Q7g5A72+TdgS6X8tul2iIgjKJZsnvCJzPztVPuUf08+Xal6fEQc2cH4BnJOGitjHb+l9ex4XlP5cK3cr9/BSDM5R+qfrRQP3vbPzO8OezClJ9XKX8/O1qv+Wq38xJatdvSlzPxDJw3Li9j3KlXz2L4OozRoxu8ARMT9KKYznPDNzPzpVPtk5m0U67pOWAH8WR+Gp+YyfmegvJGxoiz+JDO/36++pCmMVPxGxKEUa25P+BXwlQ53f3/l+3nAWzrY5zUUnwKc8K7pdshiPe+fVKr+JiLuMtU+5c9fX6m6LDO/16592U9SPGiZcA9GL+FXwzXu8Quje3NWmo7xOwBef9Unxu8MRMS+FLP1APyeYpkcaRjO7bL9ebXyw3s1kAkRsR+T4/jMzPzNdPtl5o1Mfr7ziIh44DS7vaRW/nTLVjv6VK18wlSNB3xOGh/jHr8AF5bPazpV/x3sFRH37mL/OcHkHKl/npCZL8vM9cMeSMVetfL/dLjfz2rlu3b4SZ2RuzhJHTJ+B+M4YEGl3OkbsM9QTGM4Yco3YBo74xy/PwV+AFzS4fGr/NSgRsGoxe9TauWzMnNLy5Y1mbka+F2l6rERca927SMimJyw+gfgGx2Os3pjclfgOdO0f07ZbkKn198zmDzTx4vLcUswxvFb4ftfNZXxOxhef9UP4xy/11C8/z2/qxEWXkoxGzPAqZm5cQbHkGbjT4Aj2XEWiencUCv34xpX/8D0WV3se3at/Mx2DSNiZ+DJlar1FEvCd2I1xfJ5E55cHq+dgZyTxsbYxy/wDxS/g5dO0aaV+u8A+vN7GGkm50h9Ur6hGDV3rpU3dbhfqzcoS9q03UzxR/lIdvzE/3QGcXGSpjXG8TtoR9fKZ3eyU2b+ksnJDYdExH16NSg12zjHb2a+NTOPyMy/6nhkQETsARxVFm9h8nTi0sCMYPweUiuv6XL/H1e+nwc8e4q2DwOWV8o/yszNHfZzdq083c3C+s87ullTfhqq+vBjd4pxS+Mev6N8c1aa1pjH7yB5/VXPjXP8ZuZp5fvfrmaei4g7AceUxa1Mnp1ZGojM/FFmnp2ZrR5Ud6Mfz3iPqpUv6GLf+t+k+rGqHsXke1z/r8NZpimT/i6qVC0pj9fOoM5JY8D4hcz8Sfk7uLyL47czdrkqY3fC0pi7sVa+R4f73bNWvgNoufZnZm4t/yifnZk3dTvAGv9GSdv1PX4HKSIeDNyvUnXtdGuQ11RfLAbw1J4MTOqPUY/fl7B9FqvTRuhTl9Kw1WPw913uX586+BFTtJ3NDZSLgdsr5UdGxLJWDcv66hTHm4HLuujLG5NqioHF74jfnJWaaJDX34Hw+qsx0oT4/VNgYhnYr2fmNX3oQ+qX+v2kTmdm7khEzAf2r1V38/B9ba28f0S0e4370Fn006qvh7RqNOBzkqYyl+J3puq/gwQ6Whp6LvEPiDReflArr+pwv0Nr5fMz8/aWLWenrxcnqeFGPX67NZA3YNKIGNn4jYiFFEvMQfGG6P29PL7UcPVZr7qNvw21cv0mSdWMr4vlJ+qvqlQtAFa2ab4/k5eUvCozO53NC7z+qjkGGb8z5ftfqbUmxG+3vP5qXDQhfl9W+d4lndU0B9TK3+7x8fcFqstD3Q5082HKX1N8sGzCzuUxW1lRK/+ii34AfjnN8SYM8pykqcyl+J2p+u/ggszsKpE3IhZGxLMj4tMR8ZOIuDkibo+I30bEFRHxhYh4aUTcvYfj7imTc6Tx8jngV5XyEyJi7w72q68b+G+9G9Iks744RcQeEfG6iPh2RPwiIm6NiNsi4pcRcWFEnBwRTzG7WQ00lPjt44udQb0Bk0bBKF9/nwXsVn5/ZmZeOZODRMQDIuKkiDgrIm4or723RsT/RsR5EfH2iDiiZ6OWBqN+g6DbZSHr7e9XTqPfyqCui15/NS4GGb8z1Yv3v3eLiJdFxBkRcU1ErI+IzRFxY0RcGhEfjojnlMm4UlMMLX4jYl5EPCkiPlrG0E3l+9+bIuJnEfG1iHj1DJZV9vqrcTHS19+IeBjbk9uuAL47w+N4/1nD8oTK9wn8e4+P/8Ba+frMzE53Lpelqs8mWT9mu/r6tW469fad9tPPc5KmMpfid6aeUCuf2uX+d6X4MNvngecDDwKWUSTB3w14AMW97vcD10TEO/vwPn7WfHEgjZHMvBX4M7Z/amEB8LmI2KXdPhHxeiav1/mpzPxir8cWEQuAR1eqNlA8zOzGc4CfAW8DHgfcG7gTsAhYDvwR8JfAGcBPIuIZsxy2NDBDit9+vtgZ1BswaehG+foLvLzy/Uw/Nfhqir8Vfw8cAdyL4tp7J2APihmAXgucFREXRMQj2xxHGjX1B2f37XL/3WvlecAOyazlUhf1toO6MTnbfpZHxNIujyENwkDid5Zme3P2ERSzZr0PeArFOS4GdqJIvD0AeDHF++qfR8Txsx2wNCDDjN+LgG8AL6KIoV0pXrvvSvHJ4acC/0oRUx+NiLt2eFyvvxoXo379rb7/fX83Dy0rvP+soYiIP2LyDKmfy8wretxN/bp2ywyOUd/nLi1bzb6vQfXTTV9SS3MwfrsWETtTXEMnXAt8vMvDLAX2oXi98UaKhNu7UlyH9wL+nO3LwS4G/ho4LyL2muGw+8LkHGnMZOZ3gMdT/OEDOAS4OCKOi4g9I2KniNg1Ih4dEf8BvKVstwV4B/DCPg3taUz+Q39yZt7U5TEeSPFG6LvAC4C9Kf4o3wU4CHgzMHHM/YAvR8S7IyJmM3BpUIYQv/18sdPrN2C7GssaZaN4/Y2Ih7J96ayrKR5EzMT+FO8rvgQ8A9iT4np8N+Aw4J3AxrLtwcD3IuI1M+xLGqT/qpX/uNMdy8TzA1v8qNWDtFYP9kb1xmSr9t6Y1CgaVPzOSI9uzu5NkTh/AXACcH+K1+TLKGbV+Gu2P9DfA/hQRHyuvCkqjbJhxu+BFPeN3gL8H4rl5xZRxNCz2T7D1U4UCTwXRUQnS0x5/dW4GNnrb0TsBhxdFtfR/QPBCd5/1rD8XeX7W4DX9aGPerx1swTjhNumOWav+hpUP930JbUz1+J3Jl7M5KWdX5GZm2dwnM8AD87Mf87MSzPzpsy8LTOvzcxPUNzrPrHS/kDgm1N9SHbQFkzfRNJck5lnRcSDgOdR3Fx4GPCRNs2vpHhY96E+ZHICUL45eX2l6jq2P5TsxibgRZn5mVr9bcDFFA9BTwH+k+LhIMBflT9/PVIDDCF+PwO8JDPX1eqvBT4REZ+kmC3jxLJ+4sXOoZl58xTH7fUbsHkUa5vX1yeXRsaoXX8pPs034QPl9KUzcRPw7MysTwn+e+A8iqS9U4AzKRL+5gPviIhbMvPDM+xTGoQzgHdR/J8FWBURe2RmJ0tRPIHW0/gva1HX6mbHqN6YrPczVV/SMA0qfmeqFzdnk2Jmune3uIb/hOLT+h+imAXzyWX9c4CtFLNiSqNqmPH7XeAFmfmrWv0vgdOB0yPiWODDFO9B7wt8KyIOyczrpjiu11+Ni1G+/p5AkVgH8InMnMmMAuD9Zw1BRDwG+JNK1Ss7jKtu1a8tra4/05npe9Nu+xpUP930Je1gjsZvVyLinsBJlaqPZ+bXujjEb4GvAv8D/M1U97DLWfFOiog9gOPK6gdSrP7wgq4G3ifOnCONr+UUmf13BdqtP58Un9hfyo7TivbSsRRTfkJxo/BFmbm+i/0vovjDfHSLN0aTZOZvKGYu+HWl+m/LC6TUFP2O34kXO+8E/m+LxJztnRROYvL6oBMvdqbS6zdgrY4pjaKRuP6WU/A/tyxuZGbrHJ8LfAV4fIvEnEky8yqK6281dt9XJitJIykzrwY+W6max+SbCS1FxDyKxNWWP25R1+r6Nao3Jr3+qhEGGL9d68HN2Z9SvFY/NjP/dZobkxvKvn5SqX5eRBzXZhdp6IYQv7dSxNRHgKNaJObUx/fRWj+7UXyoZSpefzUWRvX6W87KU13ecbp7Vq14/1lDUd6/+Vil6mOZedqQhjMTg5o1apCzUzkTljpi/G7z72yf9XEN8LJuds7MNZn59Mx8bRcfLn0d22dyh+J98Mp2jQfJ5BxpzETEwoh4N8UNvTdSTC96HvAsiml6F1E8MHw4cDLFA8TjgLMi4uyI2LfH49mX4hMVE07KzO91c4zMPLn8w9zRchyZ+Xt2fMP3z930KQ3DoOK3wS92fGOkkTVq11+KxNg7ld9/prw2diUz35iZz8jMCzps/zPgPZWqnZg8zag0il7D9mVhAF4UEW1vIpQPFt5P+yn8Z/oJ3W7165qYA+xLmq2Ri99e3JzNzM+Vr9U/Nn1rKKcKf3Wt+u8jYlE3/UoDNrD4zcxflzF1fGZubNeu5u3A/1bKD4uIJ3a470x4/VWTjNz1l2L55XuX338vMy/v9gDef9YwlIlln6O4bwTF0nEv6WOX9Q9ozmQ51Po+7T70Odu+BtVPN31J28zx+O1YRPw922dy/RXwlPJDJH2VmTcBX65UzQNe2O9+O2FyjjRGImIh8E2KqTQnlrV7XWYekZlfzMxfZubmco2+H2bmX1Gsz3dD2faRwPkR0Wr935mMZwnFH8eJT/t8FvjHXhy7A59h8iePDhmVrEmplVGL37oZvNjp9RuwVseURsKoxW9587P6ZvB9vThuhz5aKx89Smv+SnXlp+efCtxYqX5fRHw1Ip4QEXePiJ0i4t4R8VxgNUV8JfCmFodsteRjq+vXqN6YvFOLOq+/GkkDit+ODeHmbNWZTE4kuA/w2AH1LXVt1OK3xfhuBz5Rqz52il28/mpsjGj8VpODBvn+1/vPmq0PsP0122XA08vE636pr2Ywk2TuTt+bzravQfXTTV9S1VyO345ExAvY/sHMm4EnZea1szlml86plUdiBjuTc6Tx8nbgUZXyqZn5jql2yMxLKdaln/iUzt2B/ygTa2YsInYCPg8cUFZ9FzimXA+w78plei6pVY/EH2apjZGJ3yl082Kn12/AEuh7xrU0Q6MWv08C9im/Pzcz69fDvilnz6nepJ0PHDmo/qWZyMyLKZZgPaNSfRRF0t1vgM3ALygSzf8IuJZiGZlWN/5bPVxotZzrqN6YNDlWjTKA+O3GoG/OblPOhvnDWrXvfzXSRix+W6m//z2yTIJvxeuvxsooxW+ZDPPIsnhtbUx95f1nzUZEvBN4cVm8HHhs+eHIfqrPqrxsBseo79NuzLPta1D9dNOXBIxF/E4rIp5OMWtsULxufWJmXjTT483Q2lp5xYD7b8nkHGlMRMSewEsrVbfT4VISmXkO8K1K1d7AX8xiLPOBT1E8HITiE4NPy/z/7d15uGRFefjx7wvMgMOOCAMoKCIYkUXcEFFARBAVfoooKipBAxj3PTGiEHGLJhJ9MEHBDYwoGkUjLoiCkggaNSziNqC4se+Lwzbv7486zT33TN++vfe9c7+f5znPdFXXqarTc6vP6dNvV+Wd/dbZp+Ybs79c0Jw0l8bvLHq52Bn2B7CbxhXcJ/Vijo7fSf1qsMXzr+adzPxzZh4A7Ay8l7Is3ZXAnZSbDMuA04GXAttl5leAtRvVXFndoG9qt6zcXL0x2a68NyY1p414/HZlQjdnmzz/at6ZC+O3g+aY2gjYfIaynn+14Myh8Vv//PtvmXnvgPX1yvOvehYR7wfeWCUvBvbIzGvG0PQvG+nNI6LrZRSrINXNZqlzpvwt2paaWbN8t+2M8pikhTJ+Z6vrQMrkDGtQgmz3ycwf9lPXgJrXy2tExAYT6Mf0Tky6A5LG5iBgUS39o8z800yF2/gyUF8/+wVAx1/9t1MF5pwCPK/K+i7wrMy8o9e6hqD5xrzxBPogdWNOjN8utL3Yycyb2pQd1wcwadLm1PiNiG2AfavklUxfjm5cPP9q3qpmtbqwy+JLG+m2s1Rl5s0RcVWj/BbA73roWr83Jgc9/16Zmbf0WIc0EaMYv91oc3N278y8tt/6BuD5V/PWpMbvLNoFx2xMmQ2kyfOvFqxJjt+IWA84tEouB04apL4+ef5VTyLiA8CbquS4rx2XUcZKa8a2RcAmwNVd7r8J0793Xg5cNkPZSxrpB7YtNbPmubFZX8s4j0kL3AIavzOKiGdTAnMWUQJz9s3MC3qtZ0jazVR7P6Dd91Vj48w50sLx2Eb6oh73b36I2jkiFvdSQUSsAXyW8sUiTDYwB1Z+Y263hrc0F0x8/HZppouddsb1AUyatLk2fl9JmU4U4MTMvHuAuvrl+VcLxTaN9M86lB3XedHzr9SdXsbvjKqbs2+pkpMMzAHPv1o4hjJ+u+DnX2n4hj1+/xpoLQ19WmZeP2B9/fD8q65FxL8wuS/2qWaWuriR/YgeqmjODHVJh9mqmuO7l3batdU2CHDMx+tDkVIAACAASURBVKQFbIGN37Yi4rnAF5gbgTnQfvbJSVwLTGNwjrRwNKPye53+tlk+gPt3u3MVmPMfwPOrrEkH5sDKb8wTf1OWZjDR8duDXi52xvIBTJoD5sz4jYglwGFV8m7gxH7qGQLPv1ootmukv92hbN/nxYhYC9i6lnUvM39pd3H1fMtDI2LNbtvC868Wjl7Gb1uTvjnbhudfLRQDj98u9fL51/Ov1J2hjd9qKY/6EtOTWNIZPP+qSxFxPPD6KjnJa8evNdLNH5110iz71Q5lvwvcVkvvUi2rM6tqdYZH1bJur+qbybiOSQvUAhy/K4mIg4HPMbWU1VACcyJiv4g4JiIOnb30SpoB8TdkZrsA+7EyOEdaOJpBML3cBICpqdA61dlWFZhzGnBwlTW0wJyI+Lvqjbmf9Xqbb8xXDtofaUTGNn7HdbGTmZcyfVrELSNikx7aal4sNi88pbliYuffNg4FWuvqfikzr+qnkohYq3qfOCYiev3VL3j+1cKxd+3xFcD3O5Qd5AbKo5i+fN65My11UeWfW8taBOzUQ1vemNRC0cv4Xcmobs5GxFHV+Xf3Pnb3/KuFouvxGxG7VmPqVX200xxTCbS9vvb8K3VtoPNvwz7AttXj8zPzJ/1W5P1njVpEfAR4bZXs6toxIk6LiHMi4rAhd+eLjfSePezbLNus6z6ZuRw4s5a1DvCYLtt5HLCklv56Zv6lQ/mxHJMWpoU4fpsi4hB6DMypzq3nVJ+dO9kPeCdTM9L2ovmeMsh1xdAYnCMtHM0bBL1+mdYsvzwzb55tp4hYRJnG7KAqq6vAnOpN+ZyI2G+WJv6O8sb8tNn60sajG+k58cYstTHO8TvOi50vNdJ7dtNIRGwBPKyW9aPM/H03+0oTMJHz7wyG9avBtSjvE++k3BDpWjXDx/aNbM+/WuVExIbAbrWsz2Rmdtjlv5l+o/4JPSxht2cjPdsNlL5u1lTjd9da1lWUfkurlD7Gb3P/Ud6cPYpy/n1et/2pmZM3JqVh6mP87koZU+/po7nmmLpwpuDYiudfqYNBz79tvLL2eNBZc7z/rJGI4gSgFSTaS1D3rsAewIOH2afM/AXwg1rWPhHxgNn2i4ilTA+wO6+qq5PmjM4v6q6XNH9U+rFOhcd8TFogHL/37ftC4FRgdXqbMefhlNdg527aAR4REb3OJn9QI31m21JjZnCOtHCc10g/sZres1tPmqW+lVRfKJwOPLvK6mXGnD2qbWmX/Xtyl+VafXs88KBa1l+A7/VShzRGYx+/jOdi52Tgnlq62w9gL6Qs7dPS8QOYNGGTGL8riYgnMfXr3J9l5rBu6Pd0/gUOZPoMH38ELhpSX6Shi4inRcR1EXFNRKzdw66vovxiCOA64EOdCmfmCuCkWtYGwDO6bKt+/rwZ+Pws5T9flWu3fyfPYvq0/CdV/ZbmpHGN31p747w52+vn382BJ9SyEvhGL3VI4zTu8QusGxHdfjHQ8txGerbPv55/tSBMYPy268NWwDOr5NWU+9PD4P1nDU11b+jfmPoh1UiWwomIJRFxWES8NiK2nX0PAN5ae7wG8Jou9nkt5cv5lr+bbYfM/C7wrVrWiyOiuTz8NNXM6/Vz6FmZeXYX/RvLMWlhcPze179Dgc/Qe2BOP1YHjui2cEQcAPxVLetPlL5OnME50jwWEVtGxKsi4ojq1wWdnElZe7PlgZQP+N20sxZwWCO7OeNFc5/FVZkDq6yhLWU1g6dXH7y69dZG+oRZfuEkDdVcHr+VkV/sZOavKQE6LU+PiIfP0s5awCtqWb8EPtVtP6VhmAfjt51h/mqw7kURsW43BaOsHf6mRvb7Bvw1pNSTHscvwGLg/sADgKd22cZmwOtqWW/JzBu72PUDQP1GzutnKlhra1+mz0b1T5l5Q6d9quffV8vaMSL2nql81U40+nN91V9pbOby+B3XzdmanSLiCbMXu8+bmH6z9UvVtbg0FnN5/Na8YvYi97X1KKbPoHEH8OFO+3j+1Xw1T8Zv0yuY+u7rYzMtud4H7z9rKKr39xOBI6usSxjNF/vrAj8FPgkcD1wUEbPOAJWZPwQ+W8t6c0Q0Z0Gut7MD8IZa1mk9/CjsTcDy6vGGzB6YdzywfvX4Tla+z9TWmI9JqzDH7337vQT4NOVz5i2MNjCn5W3dBNRX5+qPNrJfn5l3jqZbPcpMNze3MW7A7yi/Umtte/ZZzy7AbbV6/gRsPss+72y0fQXwgC7a+rfGfr8GFnUovybwX7Xy3wWW9Hh8rX0Pm6XcTY12ZuxXbZ+Xt3kd7j/pvw23ub8tkPF7fK3srcDOXbSxFWX2i3o7B3f5Wiyl/CKqPo7X6FD+vbWyK4D9Jv134TY/toUwfjvUsxlwV1XH9cD9BnwtN2j065Qu9zuusd9PgMWT/ttwm/vbhMfvMxt/sx3HILA2cH5tn68A0UMfm9epL+tQdl3gV7Wyy+jymhu4X/We0tr3UmCdDuWPbPTryEn/XbjNj20hjF/KjI4fq+13cTfn+Rlep2NmKfd/tXYuAdbvou59KbNVtva7Edhm0n8bbnN/WyDj93W1fe6hfKkw2z4bUmZ+rL82b+rytfD86zaWbSGM3w71rUUJeE/gbmCLIbye3n92G9pWXTue1Pj7GGQ7pkNbR7Qpf16X/VwX+Fltv6uBJ7YptztwTa3chcB6Pb4mL6Hc523V8e/N8yOwDtOvuVcwy3dHkzwmt1Vzc/zet99hwL1Deg3OmaWt4xvlbwJeygzfIVGuQ/7Q2OfoSf/t1DdnzpHmrzdRPry0bM7Ur/Rm8l7gm7X0lsAPI6LtlJwRsWlEnEJZ177lRuC5mXn3DPusCXyZ6dPw7wXcHhHZ7TbLccxkL+DciNhxhr6tHRHvYfoSODcDz8zM6/tsU+rHnBy/bawDnBMRL42INdoViIhnUpbZ2aKW/Y7M7GrK4My8Cng+JXAAyjj+YjSW1IqIxRFxDNOnVDw2M+uviTQO82X81h3B1FJSJ2fmX/qoo5NDI+KrEbF1uycjYuOIOAn4h1r2H4ADcni/YJS60c/4rdsF+HI1jfZKImIvys2Px1dZ3wFemNXdgW5k5klMn1XuxOpXytM+u0fElsBZQGta45uBg7LLWSqr94GDKDc1oMx+9+2q3no7q0XEkcAJtexPZeaJ3R6TNCRzcvxWv5r8OPA3texHAtf0+Pl3qx6OpWV7yvXE7jP0bVFEvB44g6lZc+6iBNEv66M9qV9zcvy2sTpwRkS8oZrBsl1bT6R8/t2hlv2JzPxgNw14/tU8NF/Gb93zgdayOF/OzD8NUFc73n/WoLYCXjamttotq97V98KZeStl9qtzq6xNgPMi4vsR8a8R8eGI+D7wA8pMWVSP984eZ4jKzM9QAnRaM+gcCfw2Ik6JiPdFxKmUoMPWNfedwF9n5qd6bGdsx6RVluO3OKbbvgzBuZTx37I+ZSWFP0TE5yPiAxHx3oj4ZERcDnyNMnM9lNnsX5yZ7xpTX7vS9os2SYOLiAcDv+2i6PfK/bxpjs3MY2Zrok1exzfDzLwrIp5DiTRsLVfzUMoHikuA/6HMYLE25QbBkym/Nmi5mPJGdlGHZp4APH2Wvg/TF4BDKb8+arV/YUT8DPgx5XiWAFsDezP9A+VPgedl5mXj667mgwU8fqFc7BwIPLhKty523lddsP2e8ovCpcAewENq+94OHJWZp87SRvPYzq6CfD5P+RXigcDeEXEm5cJrE8r4ba3TvYIS7fyeXtrRwrDAx+/KnS2Bda02V7DylJ79+AslEPdZTH2eeBbwjIi4gHJz9UZgPWA7ynvFmrX9zwIOzcxrhtAXrULm4vht4xnAFRFxFmVpxaR8SbEb5XoTyq+Hjgfe1mcA2hGUc+prKF8Ungi8oToP3ww8jHK9vbgq/yfgwMy8sJdGMvPiiHgK5Yv7B1Guo38TEd+g/Kp/Q+BJlHHccgJlLXJpmgU8fsd5cxbKbAIPZmoq/78CfhARvwR+SPlF5CJKIPDewEa1fS+nfP79ydh6q3lhAY9fgP8Ffs7UEpFrAv8MvL06715G+aJwk6qtR9T2vQd4G9BVYE6L518N0wIfvzMZxZLO3n/WfHUa8EbKZ0gos0l1/SV1Zl5fnbOOAN5CuQ/8pGqr+x1l2cUTM/PefjqamadW95TeRQlk3Zgy7uruoVwP/0P2uUTrOI9JGtC8Gb+jlJlfjogzKMFGz6HcD9uS8v3U82bY7U+U5cA+MhfvP8dgQciSZtLDh6N2Zv1wFBGPBc6hXPgDXAU8NjP/2GX/nkD5sPIcpj5YzORHlF8Dfnq2X+xHxJ7A97rpQ5dmjYCOiA2AQygf9p7C1GvSzgrgAspa4KfPxZONJm+hjt9a/aux8sVOJ0O52ImIpcCxlF9KtPulYlK+1H97Zv6433a0alvo47dNe8+jBL4BfC0zD+innhnq3gx4AbA/5YPd4g7F76a8bh/KzG8Mqw9atczF8Vudm15NOR/uyNTsE+3cDnwR+EBm/rzrns/c9lMp58XdZihyC+U94l2ZefMA7axP+XLxSKa+8G86H3hnZn6733a0aluo43fA426nm9diCeULi2cB+1CWm5xJUoJ8TwA+k5nLO5TVArVQx2+jvd2A51Kua7ebpfh1wOco17V9j3/PvxoGx+9KbT+Oct8X4KLM3GnQOmt1e/9Z81JErE35Ant94BuZ+as+6wlgJ8qMWEuZWirnZ8D/DTjjVbOtDSnL7WxDmdn9Nsoyzudl5o1DbGdsxyT1Yz6O33GIiM0pM9Y+mPLaLKL8UPQ64CeZefnkejc7g3OkeSwitgIOoExNfXpm3tBHHWtQpuN9JOXXOetSpgW8mfLh7ifDvOAZtep4tqP8mmlTyq/276K8Mf8BON8pCDUXzKfxO+6Lneqi84nAwyljeDnleP67WgZLmqj5NH7HJcqyln9FOf9uTDmev1DeKy4HfjSC5bSkng0yfqvz0w6Uma82pdyQvxu4FvgFZdwOfam2qs9PoATLLqaMq58DP8zMO4fYzmJKIND2lPeluyjXzz/MzN8Nqx2pX/Nx/I5aFVT/UMq43Zxyrb4CuAH4M+Xzr0toaOLm0/iNiI2r9ramnA/XpFyjXwdcBPxiyF9Aev7VnDafxu+4eP9ZkiT1y+AcSZIkSZIkSZIkSZIkaUR6XR9UkiRJkiRJkiRJkiRJUpcMzpEkSZIkSZIkSZIkSZJGxOAcSZIkSZIkSZIkSZIkaUQMzpEkSZIkSZIkSZIkSZJGxOAcSZIkSZIkSZIkSZIkaUQMzpEkSZIkSZIkSZIkSZJGxOAcSZIkSZIkSZIkSZIkaUQMzpEkSZIkSZIkSZIkSZJGxOAcSZIkSZIkSZIkSZIkaUQMzpEkSZIkSZIkSZIkSZJGxOAcSZIkSZIkSZIkSZIkaUQMzpEkSZIkSZIkSZIkSZJGxOAcSZIkSZIkSZIkSZIkaUQMzpEkSZIkSZIkSZIkSZJGxOAcSZIkSZIkSZIkSZIkaUQMzpEkSZIkSZIkSZIkSZJGxOAcSZIkSZIkSZIkSZIkaUQMzpEkSZIkSZIkSZIkSZJGxOAcSZIkSZIkSZIkSZIkaUQMzpEkSZIkSZIkSZIkSZJGxOAcSZIkSZIkSZIkSZIkaUQMzpEkSZIkSZIkSZIkSZJGxOAcSZIkSZIkSZIkSZIkaUQMzpEkSZIkSZI0MlFsPul+1EXEphGx+qT7IUmSJElaGAzOkSRJkiRJkgYQEVtHxOsiYp8J92ObiMgO2+4T6NNTgf8FDh9327N4FvDziHjOpDsiSZIkSVr1GZwjSZIkSZJUExHnzBLgMNO2IiJuiojLI+IrEfHmiNhs0sej0YqIbYELgQ8B346I10y4S3NCRCyKiA8DZwG7AFfXnvtjD+Oq64CiiDi1h/quAbYDvhQRn42ItYd5/JIkSZIk1RmcI0mSJEmSNBwBrA88BDgQ+Cfgioj4WESsO9GeaZSOANappd88qY5k5rLMjNYGvHsS/YiI9YFzgFcD9wKvysyPT6IvM8nMrwIvAu4EXghcYDCdJEmSJGlUDM6RJEmSJEmqycw9GwEOVzSK7FV/viqzGrAh8HjgOOCmquwi4G+ACyNiq3Edw0wi4uWNWUQOnXSfJiki1mi8Ht/pp5pGekHfb4uINYGvALtVWa/KzBPqZTLzgbWxc1qjiuXARrXxdV63bWfmobV6X1tlrwAe1K6+zPwP4FAgge2Bb1aBRZIkSZIkDdWCvlkgSZIkSZI0DFnclJk/ysyjgR2BS2pFHgJ8JyLWm0wPNUInAbfX0sdPqiNzxMeBPavHH8vMf5+l/MmN9FqUGW0GdXj177cz848zFcrMLwLvqZI7Al8YQtuSJEmSJE1jcI4kSZIkSdKQZeYfgGdTlsxp2QZ4x2R6pFHJzF8AOwNvAJ6emR+YcJcmJiKeAby4Sl4FvKWL3c4GftfIe9mA/Xg0sFOVbAb/tHMcsKx6/LSIOLxTYUmSJEmSemVwjiRJkiRJ0ghk5jLgc43so6plf7QKycxlmfmhzPzmpPsyKRGxFvDRWtbxmXnzbPtlZgKfbGTvXAXY9KsV3HMd8NUu+rAceH8t64MRcf8B2pckSZIkaRqDcyRJkiRJkkanGayxNrDHJDoijdiLgC2rx3cCH+th308CKxp5fc2eExH3A15QJU/JzLu63PVU4Ibq8YbAkf20L0mSJElSOwbnSJIkSZIkjc6v2+RtPfZeSKP3mtrj72fmjd3uWC0Dd1Yj+4VVoE2vDgI2qB5/ooc+LAe+Xcv624hYo4/2JUmSJElaiR8wJUmSJEmSRufWNnkbdbtzRGwK7AYspczmcTNwNXB+Zv5xKD0cgoh4ELArsCmwHnA9cBXwP5l57Qja2xDYm6lAp2uBCzLz0mG3NQ4RsTmwI+V41gfuAW4ClgE/zszbJti9WUXELpT+t3yrj2pOBvatpdcHnguc0mM9h1f/XpCZl/S47zeBQ6rHWwD7AN/osQ5JkiRJklZicI4kSZIkSdLorNsm74Y2efeJiKDM/vFW4NFAzFDuEuCfgc9kZnNJoHq5UylLDrVzSkTMFPxwdGYeN0s/X1j1c4cZimVE/AR4b2b+50x1VfVdAmzfqS8RsRbwHuBvgTXb1PFT4NWZ+T8d2nkqK8/S0rJ3ROQMz12WmdtUdWwD/GamNoAnZeZ5HZ4nIh4HHAo8HdimQ9F7I+KrwPsz84JOdU7Qfo30//ZRxxnAdcDGtbyX0UNwTkRsDexZJbueNaem2e/9MDhHkiRJkjQEBudIkiRJkiSNzsPb5F02U+GIeADwReDJtezLge8B1wD3B3YHHgE8Evgk8OqI+H/V0kBjERGbAF+mzOrTcinwfeBGygw6TwEeDDwG+FJEfAs4ODPbzSbUTZvrUpYd2rVDsV2A70bEMzPzO/20Mw4R8Ubgg43sS4H/A34PrAVsB+wBLAGeDRwYEcdm5j+Os69d2reR7nkGo8y8qwoke10te4+I2CYzl3VZzeGUYLY7gNN67QNlGbq7gUVVunlckiRJkiT1xeAcSZIkSZKk0WnOKHIbJYBlJdXSUOcwtVTTLcBRmfm5NmX3pwTmbEIJSLkgIp6Smb9sls3MQykztBARLwc+Xnv6xZl5ai8HVPXzXOAhtWM6PDNPb5QLSrDECZRZbvYFzo2I3TPzjjZVvwnYoHr8SOAfGs+fTAnM+QUlgOlyYDGwc3V8rVmK1gQ+GRHbZuZfmo1UQTtR9XENSjBGy9mZ+dSOL0CpYxm1GY0i4rg2/e3kfrXH1wOHZeZ/NQtFxAbAccArgdWAYyPijsxsBvZMTPX//Jha1k0DLGV2MtODc6DMnvP3XfRjdeClVfL0zLyl18Yz8+6IuJwSGAWwXUSsn5k391qXJEmSJEl1q026A5IkSZIkSauiiNgWOKSR/dHMvLNN2UXAF5gKzFkBPKddYA5AZp4J7A+0gk82o8xOs/Yw+j6TWj9bgTlZ9fP0ZtksTgZeUst+FGUprpVk5jcz87TMPI0SpFS3D3Aw8G5gh8x8R2Z+KjM/lpl/S1lW68+18g8EntPzAY7fvcCB7QJzADLzpsx8FfDhWva7I2KrsfSuOw+izO7TclW/FWXmJcCPGtkvrQJvZrMv5f8dSpBPv65upLcdoC5JkiRJkgCDcyRJkiRJkoauml3my5SZXVqWUYJL2nk905drOiUzz+7URmb+BPhILesRwDE9d7Y3r2N6P0/NzLM67ZCZXwDqS0wdFRE79Njuk4HTMvPtmXlvmzauAI5tZO/fYxuTcE5m/ncX5d5OWaoJyt/Uq0fXpZ5t10hfM2B9zcCazeju//Lw6t/fZOYPBmi/2X+DcyRJkiRJAzM4R5IkSZIkaUBRrB8Rj42IdwEXUYJlWn4LPLXdUjsRsRYlOKfuw81yM/hII31URGzUbb97ERFrAm+Ypf2ZfLKRfmUfXXjHLM+f0Ujv1Ecb4/Jtyv95V0thZeatwAW1rKeNolN92qKRvmHA+j7HVCBSy8s77RARDwAOqJKDzJoDZZmxuge2LSVJkiRJUg8MzpEkSZIkSerN9yIi6xtlGaqbKEvyvB3YoCp7D3ASsHM1u0s7+wBLa+krM/On3XQkM/8IXFjLWofRLef0NKb38+rM/HGX+zZnhzmox7YvzszfdCqQmVczPbBi0x7bGJvM/FFmHp+ZF8xe+j715Za2j4i5cl9vnUZ6pWXbelEFIjWXSds/Ipa2K195MbCIMt4+M0j7wF2NdPP4JEmSJEnq2Vz5EC9JkiRJkjTfJXAL8Dvga8Bbga0y82/azZhTs1cjfVGP7V7YSO/Z4/7davbz/G53rAKT6kEPG0fE1j20/bMuy/259njdHuqfD+rLea3GVADYpDWDV5rBLf1ozn6zBvDSDuVbS1p9IzOvHLDtZnCRwTmSJEmSpIGtMekOSJIkSZIkzTN7ZeY5Q6yvufzSZT3u3yy/8wB96WTQft4CbNyo7/Iu9+024KK+HNKcv+8VEYuB/YBnUV6PrYD1gLW62H0Jgy8hNQz3a6TvHrTCzPxBRPwa2LaW/TLg/c2yEbErsH2VHHRJK1i5/83jkyRJkiSpZ86cI0mSJEmSNFkbN9KdZtlpp1m+Wd+wNOt9Q3N5r05bm/3v30Pbt3dZ7p4e6pyoiDiYEuB0BvBy4LHAJnQXmDOXLG+khxUU9YlG+mER8eQ25Vqz5lwNfH0I7S5qpJvHJ0mSJElSzwzOkSRJkiRJmqz1Gum/9Lh/s/z6A/Slk2Y/B9XLskw55LYnKiKOBr4APLDKuhV4N/B4yuuyemZGfQM+O5nezqoZOLXmkOr9NCsHW72snoiItYFDWuUzcxjBWYsb6duGUKckSZIkaYGb89P7SpIkSZIkreKaM9/0uozOkkb65gH60kmzn8dm5jEjamuVFRH7AP9Yy7oWeGJm/mZCXRrUrY10M7ilL5l5VUScCRxQy35uRLwmM1t/4wcD61aPmzPt9KsZXGRwjiRJkiRpYM6cI0mSJEmSNFnXNdK9zlCzbiPdrG9YmvU221V3/r6Rfuc8DswBuLKR3nCIdZ/cSC8BXlBLt2bSOS8zfzWkNpv9//OQ6pUkSZIkLWAG50iSJEmSJE3WhY30Nj3u3yzfrG9YmvVuMaJ2VlkRsRjYo5H9tUn0ZYiaQTGbDLHuM1k5+OdlABGxLbB7ldcM4hlEs/+/HmLdkiRJkqQFyuAcSZIkSZKkyfpeI71jREQP++80S33D0qx3514riIhnRMQh1bb2kPo1n2zCyvfjup2ZZfUh92VYrgDurKWXDqvizLwH+Ewj+zERsRNweJW+FTh9WG0CmzbSBudIkiRJkgZmcI4kSZIkSdJknQVcVUsvBR7dzY4RsSWwYy3rduA/O+xyb7OKNnWuHhHrVNuaHfq5XTV7SVciYinwVeBzwAeBO7rdd4RWNNJtg6IiYkn1egwaULS8Td6SLvfdbMC2RyIzVwA/q2VtFBGjXNoK4EjgJdXjz2fm7cNoKCJWB7auZf02M28YRt2SJEmSpIXN4BxJkiRJkqQJyszlwL80sl/T5e7Ncv8+SzDBrY30Wm3K7FeVuxV41yz9fF2X/QR4I1P3oj6RmdnDviNRBZbUAzvavR5QZoe5FfjtgE1eD1zXyNu9XcG6Ktjl8QO2PUrfaqS3H1bFmfkb4AeN7COZClYa5pJW2wD1gLTmcUmSJEmS1BeDcyRJkiRJkibveOD8WvpFEfG0TjtExGOAV9ayfgkcM0s7zeCSLdqU2a72+NLGc81+HhkR+8zSJhGxF1OBPNcA/zzbPmNUf01Wej0iYiNg4yrZfD16UgUkNWc2Ojoi1phl1/cwc+DQXNAMYnnUkOtvBuC07mlempnnNwsPYJdG+ptDrFuSJEmStIAZnCNJkiRJkjRhmXk3cDBTgSKrAV+MiBe1Kx8RzwDOZCpg42rgoMy8bZamLqLM3tLy9HpgSERsALy8St5FIzhhhn6eERGvqJYEavZzUUS8Avg6sAZwN3BIZt48Sz/H6bu1x1tFxE6N599ce3zGENp7F3BLLb0b8J8RsUmzYESsHRHHA0cB9wyh7VE5H/h1Lb3vkOs/nemvWcswZ82BMmtUy7UYnCNJkiRJGpKYAzMIS5IkSZIkzRkRcQ6wRy/7ZGYMqe0HAF8EnlzLvpwSQHItsBHwJOARtecvBA7MzCu6bOPvKTOxtFxU1b8E2B94YJX/3sx8Ww/9vAY4G/gjsALYCtgL2LR6/gZKYM5ZM9R5KtA2GKnh7Mx8arVPK+CnGy/OzFPbtLsN5TVcUmXdQjm2G4HHUV5vgGXAzpl5e7XPb7ps977+1tp8MvBVYP1a9nLgO5QZkO4BHgLsQ/k/P7Eqe8gMbRydmccN2q9BRMSrgI9UyTuApZnZXEZtkPpPBI6oZd0NbJGZ1w6p/kWUv91WkNRxmXn0MOqWJEmSJGm2KXMlSZIkSZI0Jpl5bUTsCRwEvBV4NLB1tTVdCvwL6kTw0QAABEpJREFU8KnMvLeHZt4PrA28AbgfsGO1tdxBWXbqmC77+RbgMZSghhe0KX4NcCrwnsy8vs3zE5WZy6qZiE6mvM7rAYc3ip0NHJ6Ztw+pze9HxA6UIKnnAYspsyA9s9paLqraPaMKXprLPgUcTfk7WAIcxlSwzjCczPTgnK8NKzCncjBTgTm3AR8dYt2SJEmSpAXOmXMkSZIkSZLmqIjYlLLs0WbABpRZXa4GLsjM3w9Y9waUWWEeCqxDCcpZBpzb67JT1ZJMTwSWUmZ6WU6Z6edi4OLMnMtLMgEQEatRZsrZiXIMCVwJnJ+Zvxphu+sDuwIPo8yOczvl//iHmfm7UbU7ChFxCPC5KnkF8IjMvGOCXepKNQPTT4EdqqzXZea/TrBLkiRJkqRVjME5kiRJkiRJkoYiIs4ADqiSH8zMN0+yP92IiLcC76uS5wNPzMwVE+ySJEmSJGkVY3COJEmSJEmSpKGIiHWBc4BdKLMPvSAzPz/RTnUQEfsAXwcWAZcBu2XmNZPtlSRJkiRpVbPapDsgSZIkSZIkadWQmbcCTwcuAQL4dEQ8f7K9ai8i9gW+RAnMuQLY18AcSZIkSdIoGJwjSZIkSZIkaWiqAJddgdOANYHTIuJFk+3VdBHxNMqMOesC3wIenZmXTbZXkiRJkqRVlcE5kiRJkiRJkoYqM2/PzBcALwR+Czxkwl1q2hK4BjgK2D8zr59wfyRJkiRJq7DIzEn3QZIkSZIkSdIqKiIWA1tm5rJJ96UlIrYCrs3MOybdF0mSJEnSqs/gHEmSJEmSJEmSJEmSJGlEXNZKkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQRMThHkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQRMThHkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQRMThHkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQRMThHkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQRMThHkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQRMThHkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQRMThHkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQRMThHkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQRMThHkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQRMThHkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQRMThHkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQRMThHkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQRMThHkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQRMThHkiRJkiRJkiRJkiRJGhGDcyRJkiRJkiRJkiRJkqQR+f+fqQ1BQESQRAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 2400x2100 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"R sqaured: 0.9156043369728852\n",
"Resistance: 3636.9 ± 2293.1 Ω\n",
"25.29032258064515 3.5781103348372305 2.7889431517880503\n"
]
}
],
"source": [
"slope, intercept, r_value, p_value, std_err = stats.linregress(LED.Voltage, LED.Current)\n",
"fit = intercept + slope*LED.Voltage\n",
"fitline = intercept + slope*np.linspace(1.8,2.1,len(LED.Voltage))\n",
"maxfit = intercept + (slope+std_err)*np.linspace(1,3,len(LED))\n",
"minfit = intercept + (slope-std_err)*np.linspace(1,3,len(LED))\n",
"\n",
"\n",
"fig = plt.figure(1,figsize=(8,7),dpi=300)\n",
"frame1=fig.add_axes((.1,.3,.8,.6))\n",
"plt.errorbar(LED.Voltage,LED.Current,yerr=0.00005, xerr=0.005, color=\"navy\", marker=\".\", linestyle=\"none\")\n",
"plt.plot(np.linspace(1.8,2.1,len(LED.Voltage)), fitline, 'k--')\n",
"#plt.fill_between(np.linspace(1,3,len(LED)),minfit,maxfit,color=\"grey\",alpha=0.5)\n",
"plt.xlim((1.825,2.025))\n",
"plt.ylim((-0.0005,0.007))\n",
"frame1.set_xticklabels([])\n",
"plt.grid(linestyle=\"--\")\n",
"plt.ylabel(\"Current (A)\")\n",
"#plt.title(\"I-V curve of green LED\")\n",
"\n",
"difference = LED.Current - fit\n",
"frame2=fig.add_axes((.1,.1,.8,.2)) \n",
"plt.errorbar(LED.Voltage,difference,yerr=0.00005,xerr=0.005,marker=\".\",color='navy',linestyle=\"\")\n",
"plt.ylim((-0.0015,0.0015))\n",
"plt.xlim((1.825,2.025))\n",
"plt.ylabel('Residuals (A)')\n",
"plt.xlabel(\"Potential (V)\")\n",
"plt.hlines(0,1,3,color=\"k\",linestyle=\"--\")\n",
"plt.grid(linestyle=\"--\")\n",
"plt.show()\n",
"\n",
"fig.savefig(\"LEDgraph.png\",bbox_inches=\"tight\")\n",
"print(\"R sqaured:\",r_value**2)\n",
"print(f\"Resistance: {round(np.mean(LED.Resistance),1)} ± {round(np.std(LED.Resistance)/np.sqrt(len(LED)),1)} Ω\")\n",
"print(1/slope, 1/(slope-std_err)-1/slope, 1/slope-1/(slope+std_err))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"gist": {
"data": {
"description": "PHYS 2151W/Conductivity & resistance/Ohmicity.ipynb",
"public": true
},
"id": ""
},
"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": "3.6.6"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"position": {
"height": "590.4px",
"left": "1042px",
"right": "20px",
"top": "120px",
"width": "353.4px"
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Current Voltage
0.0000 1.85
0.0005 1.89
0.0010 1.91
0.0020 1.94
0.0030 1.96
0.0040 1.98
0.0050 1.99
0.0060 2.00
Voltage Current
1.05 0.0010
2.05 0.0015
3.02 0.0020
4.03 0.0027
5.03 0.0032
6.03 0.0040
7.00 0.0048
8.01 0.0052
8.99 0.0060
10.02 0.0068
12.00 0.0080
14.09 0.0094
16.08 0.0102
18.01 0.0118
19.91 0.0128
25.0 0.015
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