Skip to content

Instantly share code, notes, and snippets.

@jbernhard

jbernhard/samplertest.ipynb

Created March 27, 2014 14:41
Show Gist options
  • Save jbernhard/9809046 to your computer and use it in GitHub Desktop.
Save jbernhard/9809046 to your computer and use it in GitHub Desktop.
Download ZIP
Display the source blob
Display the rendered blob
Raw
samplertest.ipynb
{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"hypersurface test"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I sampled the hypersurface using the OSU 2+1D algorithm. I oversampled 10,000 times to acquire sufficient statistics. This notebook contains the analysis of the sampled particles."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, load the required Python modules."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Read the OSCAR file and store ID, $p_T$, $\\phi$ for each particle. Only the identified particles $\\pi^+$, $K^+$, $p$ are present."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ID = []\n",
"px = []\n",
"py = []\n",
"\n",
"nev = 0\n",
"\n",
"with open('oscar.dat') as f:\n",
" for l in f:\n",
" s = l.split()\n",
" n = len(s)\n",
" if n == 4:\n",
" nev += 1\n",
" elif n == 11:\n",
" ID.append(int(s[1]))\n",
" px.append(float(s[2]))\n",
" py.append(float(s[3]))\n",
" \n",
"ID = np.array(ID)\n",
"px = np.array(px)\n",
"py = np.array(py)\n",
"pT = np.sqrt(px*px + py*py)\n",
"phi = np.arctan2(py,px)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"np.unique(ID)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
"array([ 211, 321, 2212])"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Calculate average $dN/dy$ for each of the identified particles."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pions = ID == 211\n",
"kaons = ID == 321\n",
"protons = ID == 2212\n",
"species = pions, kaons, protons\n",
"[np.count_nonzero(i)/nev for i in species]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 37,
"text": [
"[64.5457, 15.0317, 2.3593]"
]
}
],
"prompt_number": 37
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot transverse-momentum spectra for each species."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.hist((pT[pions],pT[kaons],pT[protons]), bins=50, histtype='step', log=True, label=(r'$\\pi^+$',r'$K^+$',r'$p$'));\n",
"plt.ylim(1e2,10*nev);\n",
"plt.xlabel('$p_T$')\n",
"plt.ylabel(r'$p_T$ spectrum $\\times$ {}'.format(nev));\n",
"plt.legend();"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"svg": [
"<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
"<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
"<svg height=\"271pt\" version=\"1.1\" viewBox=\"0 0 394 271\" width=\"394pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
" <defs>\n",
" <style type=\"text/css\">\n",
"*{stroke-linecap:butt;stroke-linejoin:round;}\n",
" </style>\n",
" </defs>\n",
" <g id=\"figure_1\">\n",
" <g id=\"patch_1\">\n",
" <path d=\"\n",
"M0 271.256\n",
"L394.975 271.256\n",
"L394.975 0\n",
"L0 0\n",
"z\n",
"\" style=\"fill:#ffffff;\"/>\n",
" </g>\n",
" <g id=\"axes_1\">\n",
" <g id=\"patch_2\">\n",
" <path d=\"\n",
"M45.6 235.7\n",
"L380.4 235.7\n",
"L380.4 12.5\n",
"L45.6 12.5\n",
"z\n",
"\" style=\"fill:#ffffff;\"/>\n",
" </g>\n",
" <g id=\"patch_3\">\n",
" <path clip-path=\"url(#pb8a5cdf050)\" d=\"\n",
"M56.1881 458.9\n",
"M120.14 272.256\n",
"L120.14 266.125\n",
"L125.954 266.125\n",
"L125.954 255.017\n",
"L131.767 255.017\n",
"L131.767 240.573\n",
"L137.581 240.573\n",
"L137.581 234.745\n",
"L143.395 234.745\n",
"L143.395 226.003\n",
"L149.209 226.003\n",
"L149.209 218.745\n",
"L155.023 218.745\n",
"L155.023 212.664\n",
"L160.836 212.664\n",
"L160.836 208.647\n",
"L166.65 208.647\n",
"L166.65 201.86\n",
"L172.464 201.86\n",
"L172.464 196.54\n",
"L178.278 196.54\n",
"L178.278 191.15\n",
"L184.092 191.15\n",
"L184.092 192.226\n",
"L189.905 192.226\n",
"L189.905 183.632\n",
"L195.719 183.632\n",
"L195.719 185.834\n",
"L201.533 185.834\n",
"L201.533 179.35\n",
"L207.347 179.35\n",
"L207.347 175.771\n",
"L213.161 175.771\n",
"L213.161 174.434\n",
"L218.975 174.434\n",
"L218.975 175.021\n",
"L224.788 175.021\n",
"L224.788 174.824\n",
"L230.602 174.824\n",
"L230.602 169.328\n",
"L236.416 169.328\n",
"L236.416 169.411\n",
"L242.23 169.411\n",
"L242.23 167.088\n",
"L248.044 167.088\n",
"L248.044 167.87\n",
"L253.857 167.87\n",
"L253.857 165.102\n",
"L259.671 165.102\n",
"L259.671 165.615\n",
"L265.485 165.615\n",
"L265.485 164.454\n",
"L271.299 164.454\n",
"L271.299 166.324\n",
"L277.113 166.324\n",
"L277.113 165.652\n",
"L282.926 165.652\n",
"L282.926 167.673\n",
"L288.74 167.673\n",
"L288.74 163.68\n",
"L294.554 163.68\n",
"L294.554 166.4\n",
"L300.368 166.4\n",
"L300.368 167.049\n",
"L306.182 167.049\n",
"L306.182 164.812\n",
"L311.995 164.812\n",
"L311.995 164.597\n",
"L317.809 164.597\n",
"L317.809 166.286\n",
"L323.623 166.286\n",
"L323.623 166.286\n",
"L329.437 166.286\n",
"L329.437 168.309\n",
"L335.251 168.309\n",
"L335.251 167.989\n",
"L341.064 167.989\n",
"L341.064 169.287\n",
"L346.878 169.287\n",
"L346.878 138.871\" style=\"fill:none;stroke:#ff0000;\"/>\n",
" </g>\n",
" <g id=\"patch_4\">\n",
" <path clip-path=\"url(#pb8a5cdf050)\" d=\"\n",
"M56.1881 173.619\n",
"L56.1881 272.256\n",
"M73.6295 272.256\n",
"L73.6295 267.826\n",
"L79.4433 267.826\n",
"L79.4433 223.918\n",
"L85.2571 223.918\n",
"L85.2571 197.715\n",
"L91.0709 197.715\n",
"L91.0709 178.458\n",
"L96.8847 178.458\n",
"L96.8847 166.972\n",
"L102.698 166.972\n",
"L102.698 155.355\n",
"L108.512 155.355\n",
"L108.512 146.622\n",
"L114.326 146.622\n",
"L114.326 138.598\n",
"L120.14 138.598\n",
"L120.14 134.177\n",
"L125.954 134.177\n",
"L125.954 129.884\n",
"L131.767 129.884\n",
"L131.767 124.931\n",
"L137.581 124.931\n",
"L137.581 122.035\n",
"L143.395 122.035\n",
"L143.395 118.644\n",
"L149.209 118.644\n",
"L149.209 116.815\n",
"L155.023 116.815\n",
"L155.023 115.278\n",
"L160.836 115.278\n",
"L160.836 113.871\n",
"L166.65 113.871\n",
"L166.65 111.998\n",
"L172.464 111.998\n",
"L172.464 111.461\n",
"L178.278 111.461\n",
"L178.278 110.181\n",
"L184.092 110.181\n",
"L184.092 110.128\n",
"L189.905 110.128\n",
"L189.905 109.713\n",
"L195.719 109.713\n",
"L195.719 110.408\n",
"L201.533 110.408\n",
"L201.533 110.995\n",
"L207.347 110.995\n",
"L207.347 110.92\n",
"L213.161 110.92\n",
"L213.161 111.753\n",
"L218.975 111.753\n",
"L218.975 111.544\n",
"L224.788 111.544\n",
"L224.788 112.436\n",
"L230.602 112.436\n",
"L230.602 112.308\n",
"L236.416 112.308\n",
"L236.416 113.427\n",
"L242.23 113.427\n",
"L242.23 114.215\n",
"L248.044 114.215\n",
"L248.044 116.026\n",
"L253.857 116.026\n",
"L253.857 116.823\n",
"L259.671 116.823\n",
"L259.671 119.377\n",
"L265.485 119.377\n",
"L265.485 118.73\n",
"L271.299 118.73\n",
"L271.299 121.062\n",
"L277.113 121.062\n",
"L277.113 121.958\n",
"L282.926 121.958\n",
"L282.926 123.425\n",
"L288.74 123.425\n",
"L288.74 125.867\n",
"L294.554 125.867\n",
"L294.554 125.226\n",
"L300.368 125.226\n",
"L300.368 127.619\n",
"L306.182 127.619\n",
"L306.182 128.532\n",
"L311.995 128.532\n",
"L311.995 132.425\n",
"L317.809 132.425\n",
"L317.809 131.771\n",
"L323.623 131.771\n",
"L323.623 134.163\n",
"L329.437 134.163\n",
"L329.437 135.459\n",
"L335.251 135.459\n",
"L335.251 139.114\n",
"L341.064 139.114\n",
"L341.064 138.871\n",
"L346.878 138.871\n",
"L346.878 120.5\" style=\"fill:none;stroke:#008000;\"/>\n",
" </g>\n",
" <g id=\"patch_5\">\n",
" <path clip-path=\"url(#pb8a5cdf050)\" d=\"\n",
"M56.1881 458.9\n",
"M56.1881 272.256\n",
"L56.1881 173.619\n",
"L62.0019 173.619\n",
"L62.0019 114.777\n",
"L67.8157 114.777\n",
"L67.8157 93.6688\n",
"L73.6295 93.6688\n",
"L73.6295 81.7057\n",
"L79.4433 81.7057\n",
"L79.4433 73.083\n",
"L85.2571 73.083\n",
"L85.2571 68.9401\n",
"L91.0709 68.9401\n",
"L91.0709 65.1627\n",
"L96.8847 65.1627\n",
"L96.8847 63.4981\n",
"L102.698 63.4981\n",
"L102.698 61.7618\n",
"L108.512 61.7618\n",
"L108.512 61.1022\n",
"L114.326 61.1022\n",
"L114.326 59.8333\n",
"L120.14 59.8333\n",
"L120.14 60.8776\n",
"L125.954 60.8776\n",
"L125.954 60.4416\n",
"L131.767 60.4416\n",
"L131.767 60.3321\n",
"L137.581 60.3321\n",
"L137.581 61.537\n",
"L143.395 61.537\n",
"L143.395 61.4355\n",
"L149.209 61.4355\n",
"L149.209 62.8393\n",
"L155.023 62.8393\n",
"L155.023 63.6898\n",
"L160.836 63.6898\n",
"L160.836 65.1644\n",
"L166.65 65.1644\n",
"L166.65 65.7417\n",
"L172.464 65.7417\n",
"L172.464 67.3966\n",
"L178.278 67.3966\n",
"L178.278 68.1998\n",
"L184.092 68.1998\n",
"L184.092 70.1235\n",
"L189.905 70.1235\n",
"L189.905 71.0934\n",
"L195.719 71.0934\n",
"L195.719 73.1907\n",
"L201.533 73.1907\n",
"L201.533 75.0909\n",
"L207.347 75.0909\n",
"L207.347 75.6312\n",
"L213.161 75.6312\n",
"L213.161 77.9783\n",
"L218.975 77.9783\n",
"L218.975 79.6486\n",
"L224.788 79.6486\n",
"L224.788 80.9739\n",
"L230.602 80.9739\n",
"L230.602 82.539\n",
"L236.416 82.539\n",
"L236.416 85.2989\n",
"L242.23 85.2989\n",
"L242.23 85.9983\n",
"L248.044 85.9983\n",
"L248.044 88.7998\n",
"L253.857 88.7998\n",
"L253.857 89.7314\n",
"L259.671 89.7314\n",
"L259.671 92.6995\n",
"L265.485 92.6995\n",
"L265.485 93.6091\n",
"L271.299 93.6091\n",
"L271.299 96.2558\n",
"L277.113 96.2558\n",
"L277.113 97.9118\n",
"L282.926 97.9118\n",
"L282.926 99.5759\n",
"L288.74 99.5759\n",
"L288.74 101.973\n",
"L294.554 101.973\n",
"L294.554 102.341\n",
"L300.368 102.341\n",
"L300.368 105.646\n",
"L306.182 105.646\n",
"L306.182 107.396\n",
"L311.995 107.396\n",
"L311.995 109.556\n",
"L317.809 109.556\n",
"L317.809 111.029\n",
"L323.623 111.029\n",
"L323.623 113.693\n",
"L329.437 113.693\n",
"L329.437 114.624\n",
"L335.251 114.624\n",
"L335.251 118.403\n",
"L341.064 118.403\n",
"L341.064 120.5\n",
"L346.878 120.5\n",
"L346.878 272.256\" style=\"fill:none;stroke:#0000ff;\"/>\n",
" </g>\n",
" <g id=\"matplotlib.axis_1\">\n",
" <g id=\"xtick_1\">\n",
" <g id=\"line2d_1\">\n",
" <defs>\n",
" <path d=\"\n",
"M0 0\n",
"L0 -4\" id=\"mc7db9fdffb\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
" </defs>\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#mc7db9fdffb\" y=\"235.7\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_2\">\n",
" <defs>\n",
" <path d=\"\n",
"M0 0\n",
"L0 4\" id=\"m5a7d422ac3\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
" </defs>\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m5a7d422ac3\" y=\"12.5\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_1\">\n",
" <!-- 0.0 -->\n",
" <defs>\n",
" <path d=\"\n",
"M31.7812 66.4062\n",
"Q24.1719 66.4062 20.3281 58.9062\n",
"Q16.5 51.4219 16.5 36.375\n",
"Q16.5 21.3906 20.3281 13.8906\n",
"Q24.1719 6.39062 31.7812 6.39062\n",
"Q39.4531 6.39062 43.2812 13.8906\n",
"Q47.125 21.3906 47.125 36.375\n",
"Q47.125 51.4219 43.2812 58.9062\n",
"Q39.4531 66.4062 31.7812 66.4062\n",
"M31.7812 74.2188\n",
"Q44.0469 74.2188 50.5156 64.5156\n",
"Q56.9844 54.8281 56.9844 36.375\n",
"Q56.9844 17.9688 50.5156 8.26562\n",
"Q44.0469 -1.42188 31.7812 -1.42188\n",
"Q19.5312 -1.42188 13.0625 8.26562\n",
"Q6.59375 17.9688 6.59375 36.375\n",
"Q6.59375 54.8281 13.0625 64.5156\n",
"Q19.5312 74.2188 31.7812 74.2188\" id=\"BitstreamVeraSans-Roman-30\"/>\n",
" <path d=\"\n",
"M10.6875 12.4062\n",
"L21 12.4062\n",
"L21 0\n",
"L10.6875 0\n",
"z\n",
"\" id=\"BitstreamVeraSans-Roman-2e\"/>\n",
" </defs>\n",
" <g transform=\"translate(38.31015625 247.2984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_2\">\n",
" <g id=\"line2d_3\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"87.45\" xlink:href=\"#mc7db9fdffb\" y=\"235.7\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_4\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"87.45\" xlink:href=\"#m5a7d422ac3\" y=\"12.5\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_2\">\n",
" <!-- 0.5 -->\n",
" <defs>\n",
" <path d=\"\n",
"M10.7969 72.9062\n",
"L49.5156 72.9062\n",
"L49.5156 64.5938\n",
"L19.8281 64.5938\n",
"L19.8281 46.7344\n",
"Q21.9688 47.4688 24.1094 47.8281\n",
"Q26.2656 48.1875 28.4219 48.1875\n",
"Q40.625 48.1875 47.75 41.5\n",
"Q54.8906 34.8125 54.8906 23.3906\n",
"Q54.8906 11.625 47.5625 5.09375\n",
"Q40.2344 -1.42188 26.9062 -1.42188\n",
"Q22.3125 -1.42188 17.5469 -0.640625\n",
"Q12.7969 0.140625 7.71875 1.70312\n",
"L7.71875 11.625\n",
"Q12.1094 9.23438 16.7969 8.0625\n",
"Q21.4844 6.89062 26.7031 6.89062\n",
"Q35.1562 6.89062 40.0781 11.3281\n",
"Q45.0156 15.7656 45.0156 23.3906\n",
"Q45.0156 31 40.0781 35.4375\n",
"Q35.1562 39.8906 26.7031 39.8906\n",
"Q22.75 39.8906 18.8125 39.0156\n",
"Q14.8906 38.1406 10.7969 36.2812\n",
"z\n",
"\" id=\"BitstreamVeraSans-Roman-35\"/>\n",
" </defs>\n",
" <g transform=\"translate(80.26484375 247.2984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_3\">\n",
" <g id=\"line2d_5\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"129.3\" xlink:href=\"#mc7db9fdffb\" y=\"235.7\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_6\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"129.3\" xlink:href=\"#m5a7d422ac3\" y=\"12.5\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_3\">\n",
" <!-- 1.0 -->\n",
" <defs>\n",
" <path d=\"\n",
"M12.4062 8.29688\n",
"L28.5156 8.29688\n",
"L28.5156 63.9219\n",
"L10.9844 60.4062\n",
"L10.9844 69.3906\n",
"L28.4219 72.9062\n",
"L38.2812 72.9062\n",
"L38.2812 8.29688\n",
"L54.3906 8.29688\n",
"L54.3906 0\n",
"L12.4062 0\n",
"z\n",
"\" id=\"BitstreamVeraSans-Roman-31\"/>\n",
" </defs>\n",
" <g transform=\"translate(122.2296875 247.2984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_4\">\n",
" <g id=\"line2d_7\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"171.15\" xlink:href=\"#mc7db9fdffb\" y=\"235.7\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_8\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"171.15\" xlink:href=\"#m5a7d422ac3\" y=\"12.5\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_4\">\n",
" <!-- 1.5 -->\n",
" <g transform=\"translate(164.184375 247.2984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_5\">\n",
" <g id=\"line2d_9\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"213.0\" xlink:href=\"#mc7db9fdffb\" y=\"235.7\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_10\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"213.0\" xlink:href=\"#m5a7d422ac3\" y=\"12.5\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_5\">\n",
" <!-- 2.0 -->\n",
" <defs>\n",
" <path d=\"\n",
"M19.1875 8.29688\n",
"L53.6094 8.29688\n",
"L53.6094 0\n",
"L7.32812 0\n",
"L7.32812 8.29688\n",
"Q12.9375 14.1094 22.625 23.8906\n",
"Q32.3281 33.6875 34.8125 36.5312\n",
"Q39.5469 41.8438 41.4219 45.5312\n",
"Q43.3125 49.2188 43.3125 52.7812\n",
"Q43.3125 58.5938 39.2344 62.25\n",
"Q35.1562 65.9219 28.6094 65.9219\n",
"Q23.9688 65.9219 18.8125 64.3125\n",
"Q13.6719 62.7031 7.8125 59.4219\n",
"L7.8125 69.3906\n",
"Q13.7656 71.7812 18.9375 73\n",
"Q24.125 74.2188 28.4219 74.2188\n",
"Q39.75 74.2188 46.4844 68.5469\n",
"Q53.2188 62.8906 53.2188 53.4219\n",
"Q53.2188 48.9219 51.5312 44.8906\n",
"Q49.8594 40.875 45.4062 35.4062\n",
"Q44.1875 33.9844 37.6406 27.2188\n",
"Q31.1094 20.4531 19.1875 8.29688\" id=\"BitstreamVeraSans-Roman-32\"/>\n",
" </defs>\n",
" <g transform=\"translate(205.746875 247.2984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_6\">\n",
" <g id=\"line2d_11\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"254.85\" xlink:href=\"#mc7db9fdffb\" y=\"235.7\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_12\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"254.85\" xlink:href=\"#m5a7d422ac3\" y=\"12.5\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_6\">\n",
" <!-- 2.5 -->\n",
" <g transform=\"translate(247.7015625 247.2984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_7\">\n",
" <g id=\"line2d_13\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"296.7\" xlink:href=\"#mc7db9fdffb\" y=\"235.7\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_14\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"296.7\" xlink:href=\"#m5a7d422ac3\" y=\"12.5\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_7\">\n",
" <!-- 3.0 -->\n",
" <defs>\n",
" <path d=\"\n",
"M40.5781 39.3125\n",
"Q47.6562 37.7969 51.625 33\n",
"Q55.6094 28.2188 55.6094 21.1875\n",
"Q55.6094 10.4062 48.1875 4.48438\n",
"Q40.7656 -1.42188 27.0938 -1.42188\n",
"Q22.5156 -1.42188 17.6562 -0.515625\n",
"Q12.7969 0.390625 7.625 2.20312\n",
"L7.625 11.7188\n",
"Q11.7188 9.32812 16.5938 8.10938\n",
"Q21.4844 6.89062 26.8125 6.89062\n",
"Q36.0781 6.89062 40.9375 10.5469\n",
"Q45.7969 14.2031 45.7969 21.1875\n",
"Q45.7969 27.6406 41.2812 31.2656\n",
"Q36.7656 34.9062 28.7188 34.9062\n",
"L20.2188 34.9062\n",
"L20.2188 43.0156\n",
"L29.1094 43.0156\n",
"Q36.375 43.0156 40.2344 45.9219\n",
"Q44.0938 48.8281 44.0938 54.2969\n",
"Q44.0938 59.9062 40.1094 62.9062\n",
"Q36.1406 65.9219 28.7188 65.9219\n",
"Q24.6562 65.9219 20.0156 65.0312\n",
"Q15.375 64.1562 9.8125 62.3125\n",
"L9.8125 71.0938\n",
"Q15.4375 72.6562 20.3438 73.4375\n",
"Q25.25 74.2188 29.5938 74.2188\n",
"Q40.8281 74.2188 47.3594 69.1094\n",
"Q53.9062 64.0156 53.9062 55.3281\n",
"Q53.9062 49.2656 50.4375 45.0938\n",
"Q46.9688 40.9219 40.5781 39.3125\" id=\"BitstreamVeraSans-Roman-33\"/>\n",
" </defs>\n",
" <g transform=\"translate(289.46171875 247.2984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-33\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_8\">\n",
" <g id=\"line2d_15\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"338.55\" xlink:href=\"#mc7db9fdffb\" y=\"235.7\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_16\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"338.55\" xlink:href=\"#m5a7d422ac3\" y=\"12.5\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_8\">\n",
" <!-- 3.5 -->\n",
" <g transform=\"translate(331.41640625 247.2984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-33\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_9\">\n",
" <g id=\"line2d_17\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#mc7db9fdffb\" y=\"235.7\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_18\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#m5a7d422ac3\" y=\"12.5\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_9\">\n",
" <!-- 4.0 -->\n",
" <defs>\n",
" <path d=\"\n",
"M37.7969 64.3125\n",
"L12.8906 25.3906\n",
"L37.7969 25.3906\n",
"z\n",
"\n",
"M35.2031 72.9062\n",
"L47.6094 72.9062\n",
"L47.6094 25.3906\n",
"L58.0156 25.3906\n",
"L58.0156 17.1875\n",
"L47.6094 17.1875\n",
"L47.6094 0\n",
"L37.7969 0\n",
"L37.7969 17.1875\n",
"L4.89062 17.1875\n",
"L4.89062 26.7031\n",
"z\n",
"\" id=\"BitstreamVeraSans-Roman-34\"/>\n",
" </defs>\n",
" <g transform=\"translate(373.025 247.2984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-34\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_10\">\n",
" <!-- $p_T$ -->\n",
" <defs>\n",
" <path d=\"\n",
"M-2.48438 -19.3906\n",
"Q-3.42188 -19.3906 -3.42188 -18.1094\n",
"Q-3.07812 -15.9219 -2.09375 -15.9219\n",
"Q1.03125 -15.9219 2.26562 -15.3594\n",
"Q3.51562 -14.7969 4.20312 -12.5\n",
"L15.4844 32.5156\n",
"Q16.2188 34.375 16.2188 37.3125\n",
"Q16.2188 41.6094 13.2812 41.6094\n",
"Q10.1562 41.6094 8.64062 37.8594\n",
"Q7.125 34.125 5.71875 28.4219\n",
"Q5.71875 27.7812 4.89062 27.7812\n",
"L3.71875 27.7812\n",
"Q3.46875 27.7812 3.17188 28.1406\n",
"Q2.875 28.5156 2.875 28.8125\n",
"Q3.95312 33.1562 4.95312 36.1719\n",
"Q5.95312 39.2031 8.07812 41.6875\n",
"Q10.2031 44.1875 13.375 44.1875\n",
"Q16.7969 44.1875 19.375 42.25\n",
"Q21.9688 40.3281 22.7031 37.0156\n",
"Q25.4375 40.1875 28.75 42.1875\n",
"Q32.0781 44.1875 35.5938 44.1875\n",
"Q39.7969 44.1875 42.8906 41.9375\n",
"Q46 39.7031 47.5625 36.0625\n",
"Q49.125 32.4219 49.125 28.2188\n",
"Q49.125 21.7812 45.8281 14.8906\n",
"Q42.5312 8.01562 36.8906 3.4375\n",
"Q31.25 -1.125 24.8125 -1.125\n",
"Q21.875 -1.125 19.5 0.53125\n",
"Q17.1406 2.20312 15.8281 4.89062\n",
"L11.2812 -12.8906\n",
"Q11.0312 -14.3594 10.9844 -14.5938\n",
"Q10.9844 -15.9219 17.5781 -15.9219\n",
"Q18.6094 -15.9219 18.6094 -17.1875\n",
"Q18.2656 -18.5 18.0469 -18.9375\n",
"Q17.8281 -19.3906 16.8906 -19.3906\n",
"z\n",
"\n",
"M24.9062 1.51562\n",
"Q28.375 1.51562 31.3438 4.375\n",
"Q34.3281 7.23438 36.1875 10.7969\n",
"Q37.5469 13.4844 38.7344 17.3594\n",
"Q39.9375 21.2344 40.8125 25.625\n",
"Q41.7031 30.0312 41.7031 32.625\n",
"Q41.7031 34.9062 41.0938 36.9062\n",
"Q40.4844 38.9219 39.0938 40.2656\n",
"Q37.7031 41.6094 35.4062 41.6094\n",
"Q31.7344 41.6094 28.4844 38.9844\n",
"Q25.25 36.375 22.6094 32.5156\n",
"L22.6094 32.1719\n",
"L17.0938 10.1094\n",
"Q17.7812 6.54688 19.7344 4.03125\n",
"Q21.6875 1.51562 24.9062 1.51562\" id=\"Cmmi10-70\"/>\n",
" <path d=\"\n",
"M4.59375 1.3125\n",
"Q4.64062 1.5625 4.8125 2.1875\n",
"Q4.98438 2.82812 5.25 3.17188\n",
"Q5.51562 3.51562 6 3.51562\n",
"Q14.5938 3.51562 17.3906 4\n",
"Q20.0625 4.6875 20.6094 6.89062\n",
"L34.2812 61.8125\n",
"Q34.7188 63.0312 34.7188 64.0156\n",
"Q34.7188 64.7969 31.2031 64.7969\n",
"L25.3906 64.7969\n",
"Q18.7031 64.7969 15.0625 62.7344\n",
"Q11.4219 60.6875 9.71875 57.3125\n",
"Q8.01562 53.9531 5.32812 46.2969\n",
"Q4.98438 45.4062 4.29688 45.4062\n",
"L3.42188 45.4062\n",
"Q2.39062 45.4062 2.39062 46.6875\n",
"L9.51562 67.3906\n",
"Q9.71875 68.3125 10.5 68.3125\n",
"L69.5781 68.3125\n",
"Q70.6094 68.3125 70.6094 67\n",
"L67.2812 46.2969\n",
"Q67.2812 46 66.9375 45.7031\n",
"Q66.6094 45.4062 66.3125 45.4062\n",
"L65.375 45.4062\n",
"Q64.4062 45.4062 64.4062 46.6875\n",
"Q65.4844 53.7656 65.4844 56.6875\n",
"Q65.4844 60.2031 64.0156 62\n",
"Q62.5469 63.8125 60.2031 64.2969\n",
"Q57.8594 64.7969 54.1094 64.7969\n",
"L48.1875 64.7969\n",
"Q45.5156 64.7969 44.5781 64.2969\n",
"Q43.6562 63.8125 43.0156 61.375\n",
"L29.2969 6.5\n",
"Q29.25 6.29688 29.2188 6.09375\n",
"Q29.2031 5.90625 29.1094 5.60938\n",
"Q29.1094 4.34375 30.6094 4\n",
"Q33.2031 3.51562 41.7031 3.51562\n",
"Q42.6719 3.51562 42.6719 2.20312\n",
"Q42.3281 0.78125 42.125 0.390625\n",
"Q41.9375 0 41.0156 0\n",
"L5.60938 0\n",
"Q4.59375 0 4.59375 1.3125\" id=\"Cmmi10-54\"/>\n",
" </defs>\n",
" <g transform=\"translate(207.55 261.45625)scale(0.1 -0.1)\">\n",
" <use transform=\"translate(0.0 0.8125)\" xlink:href=\"#Cmmi10-70\"/>\n",
" <use transform=\"translate(50.29296875 -24.696875000000006)scale(0.7)\" xlink:href=\"#Cmmi10-54\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"matplotlib.axis_2\">\n",
" <g id=\"ytick_1\">\n",
" <g id=\"line2d_19\">\n",
" <defs>\n",
" <path d=\"\n",
"M0 0\n",
"L4 0\" id=\"md7965d1ba0\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
" </defs>\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#md7965d1ba0\" y=\"235.7\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_20\">\n",
" <defs>\n",
" <path d=\"\n",
"M0 0\n",
"L-4 0\" id=\"md9a1c1a7cd\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
" </defs>\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#md9a1c1a7cd\" y=\"235.7\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_11\">\n",
" <!-- $\\mathdefault{10^{2}}$ -->\n",
" <g transform=\"translate(22.3 238.9703125)scale(0.1 -0.1)\">\n",
" <use transform=\"translate(0.0 0.546875)\" xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
" <use transform=\"translate(63.623046875 0.546875)\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use transform=\"translate(127.24609375 53.046875)scale(0.7)\" xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_2\">\n",
" <g id=\"line2d_21\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#md7965d1ba0\" y=\"161.3\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_22\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#md9a1c1a7cd\" y=\"161.3\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_12\">\n",
" <!-- $\\mathdefault{10^{3}}$ -->\n",
" <g transform=\"translate(22.3 164.5703125)scale(0.1 -0.1)\">\n",
" <use transform=\"translate(0.0 0.546875)\" xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
" <use transform=\"translate(63.623046875 0.546875)\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use transform=\"translate(127.24609375 53.046875)scale(0.7)\" xlink:href=\"#BitstreamVeraSans-Roman-33\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_3\">\n",
" <g id=\"line2d_23\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#md7965d1ba0\" y=\"86.9\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_24\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#md9a1c1a7cd\" y=\"86.9\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_13\">\n",
" <!-- $\\mathdefault{10^{4}}$ -->\n",
" <g transform=\"translate(22.3 90.1203125)scale(0.1 -0.1)\">\n",
" <use transform=\"translate(0.0 0.46562500000000284)\" xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
" <use transform=\"translate(63.623046875 0.46562500000000284)\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use transform=\"translate(127.24609375 52.965625)scale(0.7)\" xlink:href=\"#BitstreamVeraSans-Roman-34\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_4\">\n",
" <g id=\"line2d_25\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#md7965d1ba0\" y=\"12.5\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_26\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#md9a1c1a7cd\" y=\"12.5\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_14\">\n",
" <!-- $\\mathdefault{10^{5}}$ -->\n",
" <g transform=\"translate(22.3 15.7203125)scale(0.1 -0.1)\">\n",
" <use transform=\"translate(0.0 0.46562500000000284)\" xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
" <use transform=\"translate(63.623046875 0.46562500000000284)\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use transform=\"translate(127.24609375 52.965625)scale(0.7)\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_5\">\n",
" <g id=\"line2d_27\">\n",
" <defs>\n",
" <path d=\"\n",
"M0 0\n",
"L2 0\" id=\"m8d45281ad4\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
" </defs>\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"213.303368323\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_28\">\n",
" <defs>\n",
" <path d=\"\n",
"M0 0\n",
"L-2 0\" id=\"me3f9b4022a\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
" </defs>\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"213.303368323\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_6\">\n",
" <g id=\"line2d_29\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"200.202178649\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_30\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"200.202178649\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_7\">\n",
" <g id=\"line2d_31\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"190.906736645\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_32\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"190.906736645\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_8\">\n",
" <g id=\"line2d_33\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"183.696631677\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_34\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"183.696631677\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_9\">\n",
" <g id=\"line2d_35\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"177.805546971\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_36\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"177.805546971\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_10\">\n",
" <g id=\"line2d_37\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"172.824705823\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_38\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"172.824705823\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_11\">\n",
" <g id=\"line2d_39\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"168.510104968\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_40\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"168.510104968\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_12\">\n",
" <g id=\"line2d_41\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"164.704357298\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_42\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"164.704357298\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_13\">\n",
" <g id=\"line2d_43\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"138.903368323\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_44\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"138.903368323\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_14\">\n",
" <g id=\"line2d_45\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"125.802178649\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_46\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"125.802178649\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_15\">\n",
" <g id=\"line2d_47\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"116.506736645\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_48\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"116.506736645\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_16\">\n",
" <g id=\"line2d_49\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"109.296631677\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_50\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"109.296631677\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_17\">\n",
" <g id=\"line2d_51\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"103.405546971\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_52\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"103.405546971\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_18\">\n",
" <g id=\"line2d_53\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"98.4247058229\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_54\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"98.4247058229\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_19\">\n",
" <g id=\"line2d_55\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"94.1101049678\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_56\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"94.1101049678\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_20\">\n",
" <g id=\"line2d_57\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"90.3043572977\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_58\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"90.3043572977\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_21\">\n",
" <g id=\"line2d_59\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"64.5033683226\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_60\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"64.5033683226\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_22\">\n",
" <g id=\"line2d_61\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"51.4021786489\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_62\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"51.4021786489\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_23\">\n",
" <g id=\"line2d_63\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"42.1067366452\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_64\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"42.1067366452\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_24\">\n",
" <g id=\"line2d_65\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"34.8966316774\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_66\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"34.8966316774\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_25\">\n",
" <g id=\"line2d_67\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"29.0055469715\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_68\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"29.0055469715\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_26\">\n",
" <g id=\"line2d_69\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"24.0247058229\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_70\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"24.0247058229\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_27\">\n",
" <g id=\"line2d_71\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"19.7101049678\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_72\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"19.7101049678\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_28\">\n",
" <g id=\"line2d_73\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"45.6\" xlink:href=\"#m8d45281ad4\" y=\"15.9043572977\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_74\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"380.4\" xlink:href=\"#me3f9b4022a\" y=\"15.9043572977\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_15\">\n",
" <!-- $p_T$ spectrum $\\times$ 10000 -->\n",
" <defs>\n",
" <path id=\"BitstreamVeraSans-Roman-20\"/>\n",
" <path d=\"\n",
"M18.1094 8.20312\n",
"L18.1094 -20.7969\n",
"L9.07812 -20.7969\n",
"L9.07812 54.6875\n",
"L18.1094 54.6875\n",
"L18.1094 46.3906\n",
"Q20.9531 51.2656 25.2656 53.625\n",
"Q29.5938 56 35.5938 56\n",
"Q45.5625 56 51.7812 48.0938\n",
"Q58.0156 40.1875 58.0156 27.2969\n",
"Q58.0156 14.4062 51.7812 6.48438\n",
"Q45.5625 -1.42188 35.5938 -1.42188\n",
"Q29.5938 -1.42188 25.2656 0.953125\n",
"Q20.9531 3.32812 18.1094 8.20312\n",
"M48.6875 27.2969\n",
"Q48.6875 37.2031 44.6094 42.8438\n",
"Q40.5312 48.4844 33.4062 48.4844\n",
"Q26.2656 48.4844 22.1875 42.8438\n",
"Q18.1094 37.2031 18.1094 27.2969\n",
"Q18.1094 17.3906 22.1875 11.75\n",
"Q26.2656 6.10938 33.4062 6.10938\n",
"Q40.5312 6.10938 44.6094 11.75\n",
"Q48.6875 17.3906 48.6875 27.2969\" id=\"BitstreamVeraSans-Roman-70\"/>\n",
" <path d=\"\n",
"M14.7031 2.875\n",
"Q14.7031 3.65625 15.1875 4.29688\n",
"L35.9844 25\n",
"L15.1875 45.7969\n",
"Q14.7031 46.2969 14.7031 47.125\n",
"Q14.7031 47.8594 15.2812 48.4844\n",
"Q15.875 49.125 16.7031 49.125\n",
"Q17.3906 49.125 18.2188 48.4844\n",
"L38.9219 27.7812\n",
"L59.5156 48.4844\n",
"Q60.3594 49.125 60.9844 49.125\n",
"Q61.8125 49.125 62.3906 48.5312\n",
"Q62.9844 47.9531 62.9844 47.125\n",
"Q62.9844 46.2969 62.5 45.7969\n",
"L41.7031 25\n",
"L62.5 4.29688\n",
"Q62.9844 3.65625 62.9844 2.875\n",
"Q62.9844 2.04688 62.3906 1.45312\n",
"Q61.8125 0.875 60.9844 0.875\n",
"Q60.25 0.875 59.5156 1.60938\n",
"L38.9219 22.2188\n",
"L18.2188 1.60938\n",
"Q17.4844 0.875 16.7031 0.875\n",
"Q15.875 0.875 15.2812 1.51562\n",
"Q14.7031 2.15625 14.7031 2.875\" id=\"Cmsy10-a3\"/>\n",
" <path d=\"\n",
"M56.2031 29.5938\n",
"L56.2031 25.2031\n",
"L14.8906 25.2031\n",
"Q15.4844 15.9219 20.4844 11.0625\n",
"Q25.4844 6.20312 34.4219 6.20312\n",
"Q39.5938 6.20312 44.4531 7.46875\n",
"Q49.3125 8.73438 54.1094 11.2812\n",
"L54.1094 2.78125\n",
"Q49.2656 0.734375 44.1875 -0.34375\n",
"Q39.1094 -1.42188 33.8906 -1.42188\n",
"Q20.7969 -1.42188 13.1562 6.1875\n",
"Q5.51562 13.8125 5.51562 26.8125\n",
"Q5.51562 40.2344 12.7656 48.1094\n",
"Q20.0156 56 32.3281 56\n",
"Q43.3594 56 49.7812 48.8906\n",
"Q56.2031 41.7969 56.2031 29.5938\n",
"M47.2188 32.2344\n",
"Q47.125 39.5938 43.0938 43.9844\n",
"Q39.0625 48.3906 32.4219 48.3906\n",
"Q24.9062 48.3906 20.3906 44.1406\n",
"Q15.875 39.8906 15.1875 32.1719\n",
"z\n",
"\" id=\"BitstreamVeraSans-Roman-65\"/>\n",
" <path d=\"\n",
"M52 44.1875\n",
"Q55.375 50.25 60.0625 53.125\n",
"Q64.75 56 71.0938 56\n",
"Q79.6406 56 84.2812 50.0156\n",
"Q88.9219 44.0469 88.9219 33.0156\n",
"L88.9219 0\n",
"L79.8906 0\n",
"L79.8906 32.7188\n",
"Q79.8906 40.5781 77.0938 44.375\n",
"Q74.3125 48.1875 68.6094 48.1875\n",
"Q61.625 48.1875 57.5625 43.5469\n",
"Q53.5156 38.9219 53.5156 30.9062\n",
"L53.5156 0\n",
"L44.4844 0\n",
"L44.4844 32.7188\n",
"Q44.4844 40.625 41.7031 44.4062\n",
"Q38.9219 48.1875 33.1094 48.1875\n",
"Q26.2188 48.1875 22.1562 43.5312\n",
"Q18.1094 38.875 18.1094 30.9062\n",
"L18.1094 0\n",
"L9.07812 0\n",
"L9.07812 54.6875\n",
"L18.1094 54.6875\n",
"L18.1094 46.1875\n",
"Q21.1875 51.2188 25.4844 53.6094\n",
"Q29.7812 56 35.6875 56\n",
"Q41.6562 56 45.8281 52.9688\n",
"Q50 49.9531 52 44.1875\" id=\"BitstreamVeraSans-Roman-6d\"/>\n",
" <path d=\"\n",
"M18.3125 70.2188\n",
"L18.3125 54.6875\n",
"L36.8125 54.6875\n",
"L36.8125 47.7031\n",
"L18.3125 47.7031\n",
"L18.3125 18.0156\n",
"Q18.3125 11.3281 20.1406 9.42188\n",
"Q21.9688 7.51562 27.5938 7.51562\n",
"L36.8125 7.51562\n",
"L36.8125 0\n",
"L27.5938 0\n",
"Q17.1875 0 13.2344 3.875\n",
"Q9.28125 7.76562 9.28125 18.0156\n",
"L9.28125 47.7031\n",
"L2.6875 47.7031\n",
"L2.6875 54.6875\n",
"L9.28125 54.6875\n",
"L9.28125 70.2188\n",
"z\n",
"\" id=\"BitstreamVeraSans-Roman-74\"/>\n",
" <path d=\"\n",
"M8.5 21.5781\n",
"L8.5 54.6875\n",
"L17.4844 54.6875\n",
"L17.4844 21.9219\n",
"Q17.4844 14.1562 20.5 10.2656\n",
"Q23.5312 6.39062 29.5938 6.39062\n",
"Q36.8594 6.39062 41.0781 11.0312\n",
"Q45.3125 15.6719 45.3125 23.6875\n",
"L45.3125 54.6875\n",
"L54.2969 54.6875\n",
"L54.2969 0\n",
"L45.3125 0\n",
"L45.3125 8.40625\n",
"Q42.0469 3.42188 37.7188 1\n",
"Q33.4062 -1.42188 27.6875 -1.42188\n",
"Q18.2656 -1.42188 13.375 4.4375\n",
"Q8.5 10.2969 8.5 21.5781\" id=\"BitstreamVeraSans-Roman-75\"/>\n",
" <path d=\"\n",
"M41.1094 46.2969\n",
"Q39.5938 47.1719 37.8125 47.5781\n",
"Q36.0312 48 33.8906 48\n",
"Q26.2656 48 22.1875 43.0469\n",
"Q18.1094 38.0938 18.1094 28.8125\n",
"L18.1094 0\n",
"L9.07812 0\n",
"L9.07812 54.6875\n",
"L18.1094 54.6875\n",
"L18.1094 46.1875\n",
"Q20.9531 51.1719 25.4844 53.5781\n",
"Q30.0312 56 36.5312 56\n",
"Q37.4531 56 38.5781 55.875\n",
"Q39.7031 55.7656 41.0625 55.5156\n",
"z\n",
"\" id=\"BitstreamVeraSans-Roman-72\"/>\n",
" <path d=\"\n",
"M44.2812 53.0781\n",
"L44.2812 44.5781\n",
"Q40.4844 46.5312 36.375 47.5\n",
"Q32.2812 48.4844 27.875 48.4844\n",
"Q21.1875 48.4844 17.8438 46.4375\n",
"Q14.5 44.3906 14.5 40.2812\n",
"Q14.5 37.1562 16.8906 35.375\n",
"Q19.2812 33.5938 26.5156 31.9844\n",
"L29.5938 31.2969\n",
"Q39.1562 29.25 43.1875 25.5156\n",
"Q47.2188 21.7812 47.2188 15.0938\n",
"Q47.2188 7.46875 41.1875 3.01562\n",
"Q35.1562 -1.42188 24.6094 -1.42188\n",
"Q20.2188 -1.42188 15.4531 -0.5625\n",
"Q10.6875 0.296875 5.42188 2\n",
"L5.42188 11.2812\n",
"Q10.4062 8.6875 15.2344 7.39062\n",
"Q20.0625 6.10938 24.8125 6.10938\n",
"Q31.1562 6.10938 34.5625 8.28125\n",
"Q37.9844 10.4531 37.9844 14.4062\n",
"Q37.9844 18.0625 35.5156 20.0156\n",
"Q33.0625 21.9688 24.7031 23.7812\n",
"L21.5781 24.5156\n",
"Q13.2344 26.2656 9.51562 29.9062\n",
"Q5.8125 33.5469 5.8125 39.8906\n",
"Q5.8125 47.6094 11.2812 51.7969\n",
"Q16.75 56 26.8125 56\n",
"Q31.7812 56 36.1719 55.2656\n",
"Q40.5781 54.5469 44.2812 53.0781\" id=\"BitstreamVeraSans-Roman-73\"/>\n",
" <path d=\"\n",
"M48.7812 52.5938\n",
"L48.7812 44.1875\n",
"Q44.9688 46.2969 41.1406 47.3438\n",
"Q37.3125 48.3906 33.4062 48.3906\n",
"Q24.6562 48.3906 19.8125 42.8438\n",
"Q14.9844 37.3125 14.9844 27.2969\n",
"Q14.9844 17.2812 19.8125 11.7344\n",
"Q24.6562 6.20312 33.4062 6.20312\n",
"Q37.3125 6.20312 41.1406 7.25\n",
"Q44.9688 8.29688 48.7812 10.4062\n",
"L48.7812 2.09375\n",
"Q45.0156 0.34375 40.9844 -0.53125\n",
"Q36.9688 -1.42188 32.4219 -1.42188\n",
"Q20.0625 -1.42188 12.7812 6.34375\n",
"Q5.51562 14.1094 5.51562 27.2969\n",
"Q5.51562 40.6719 12.8594 48.3281\n",
"Q20.2188 56 33.0156 56\n",
"Q37.1562 56 41.1094 55.1406\n",
"Q45.0625 54.2969 48.7812 52.5938\" id=\"BitstreamVeraSans-Roman-63\"/>\n",
" </defs>\n",
" <g transform=\"translate(14.7 178.1)rotate(-90.0)scale(0.1 -0.1)\">\n",
" <use transform=\"translate(0.0 0.78125)\" xlink:href=\"#Cmmi10-70\"/>\n",
" <use transform=\"translate(50.29296875 -24.728125000000006)scale(0.7)\" xlink:href=\"#Cmmi10-54\"/>\n",
" <use transform=\"translate(108.69140625 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-20\"/>\n",
" <use transform=\"translate(140.478515625 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-73\"/>\n",
" <use transform=\"translate(192.578125 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-70\"/>\n",
" <use transform=\"translate(256.0546875 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-65\"/>\n",
" <use transform=\"translate(317.578125 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-63\"/>\n",
" <use transform=\"translate(372.55859375 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-74\"/>\n",
" <use transform=\"translate(411.767578125 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-72\"/>\n",
" <use transform=\"translate(452.880859375 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-75\"/>\n",
" <use transform=\"translate(516.259765625 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-6d\"/>\n",
" <use transform=\"translate(613.671875 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-20\"/>\n",
" <use transform=\"translate(663.017578125 0.78125)\" xlink:href=\"#Cmsy10-a3\"/>\n",
" <use transform=\"translate(729.107421875 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-20\"/>\n",
" <use transform=\"translate(760.89453125 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
" <use transform=\"translate(824.517578125 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use transform=\"translate(888.140625 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use transform=\"translate(951.763671875 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use transform=\"translate(1015.38671875 0.78125)\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"patch_6\">\n",
" <path d=\"\n",
"M45.6 235.7\n",
"L380.4 235.7\" style=\"fill:none;stroke:#000000;\"/>\n",
" </g>\n",
" <g id=\"patch_7\">\n",
" <path d=\"\n",
"M45.6 12.5\n",
"L380.4 12.5\" style=\"fill:none;stroke:#000000;\"/>\n",
" </g>\n",
" <g id=\"patch_8\">\n",
" <path d=\"\n",
"M380.4 235.7\n",
"L380.4 12.5\" style=\"fill:none;stroke:#000000;\"/>\n",
" </g>\n",
" <g id=\"patch_9\">\n",
" <path d=\"\n",
"M45.6 235.7\n",
"L45.6 12.5\" style=\"fill:none;stroke:#000000;\"/>\n",
" </g>\n",
" <g id=\"legend_1\">\n",
" <g id=\"patch_10\">\n",
" <path d=\"\n",
"M310.32 74.9412\n",
"L374.4 74.9412\n",
"L374.4 18.5\n",
"L310.32 18.5\n",
"L310.32 74.9412\n",
"z\n",
"\" style=\"fill:#ffffff;stroke:#000000;\"/>\n",
" </g>\n",
" <g id=\"patch_11\">\n",
" <path d=\"\n",
"M315.12 32.4181\n",
"L339.12 32.4181\n",
"L339.12 24.0181\n",
"L315.12 24.0181\n",
"z\n",
"\" style=\"fill:none;stroke:#ff0000;\"/>\n",
" </g>\n",
" <g id=\"text_16\">\n",
" <!-- $p$ -->\n",
" <g transform=\"translate(348.72 32.418125)scale(0.12 -0.12)\">\n",
" <use transform=\"translate(0.0 0.8125)\" xlink:href=\"#Cmmi10-70\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"patch_12\">\n",
" <path d=\"\n",
"M315.12 50.0319\n",
"L339.12 50.0319\n",
"L339.12 41.6319\n",
"L315.12 41.6319\n",
"z\n",
"\" style=\"fill:none;stroke:#008000;\"/>\n",
" </g>\n",
" <g id=\"text_17\">\n",
" <!-- $K^+$ -->\n",
" <defs>\n",
" <path d=\"\n",
"M7.51562 23\n",
"Q6.6875 23 6.14062 23.625\n",
"Q5.60938 24.2656 5.60938 25\n",
"Q5.60938 25.7344 6.14062 26.3594\n",
"Q6.6875 27 7.51562 27\n",
"L36.9219 27\n",
"L36.9219 56.5\n",
"Q36.9219 57.2812 37.5 57.7812\n",
"Q38.0938 58.2969 38.9219 58.2969\n",
"Q39.6562 58.2969 40.2812 57.7812\n",
"Q40.9219 57.2812 40.9219 56.5\n",
"L40.9219 27\n",
"L70.3125 27\n",
"Q71.0469 27 71.5781 26.3594\n",
"Q72.125 25.7344 72.125 25\n",
"Q72.125 24.2656 71.5781 23.625\n",
"Q71.0469 23 70.3125 23\n",
"L40.9219 23\n",
"L40.9219 -6.5\n",
"Q40.9219 -7.28125 40.2812 -7.78125\n",
"Q39.6562 -8.29688 38.9219 -8.29688\n",
"Q38.0938 -8.29688 37.5 -7.78125\n",
"Q36.9219 -7.28125 36.9219 -6.5\n",
"L36.9219 23\n",
"z\n",
"\" id=\"Cmr10-2b\"/>\n",
" <path d=\"\n",
"M4.6875 0\n",
"Q3.71875 0 3.71875 1.3125\n",
"Q3.76562 1.5625 3.90625 2.17188\n",
"Q4.04688 2.78125 4.3125 3.14062\n",
"Q4.59375 3.51562 4.98438 3.51562\n",
"Q11.0781 3.51562 13.4844 4.20312\n",
"Q14.7969 4.64062 15.375 6.89062\n",
"L29.1094 61.8125\n",
"Q29.2969 62.7969 29.2969 63.1875\n",
"Q29.2969 64.2656 28.0781 64.4062\n",
"Q26.2188 64.7969 20.9062 64.7969\n",
"Q19.9219 64.7969 19.9219 66.1094\n",
"Q20.2656 67.3906 20.4531 67.8438\n",
"Q20.6562 68.3125 21.5781 68.3125\n",
"L48.4844 68.3125\n",
"Q49.5156 68.3125 49.5156 67\n",
"Q49.4688 66.75 49.3125 66.1562\n",
"Q49.1719 65.5781 48.9219 65.1875\n",
"Q48.6875 64.7969 48.1875 64.7969\n",
"Q42.0938 64.7969 39.7031 64.1094\n",
"Q38.375 63.625 37.7969 61.375\n",
"L29.6875 29\n",
"L68.8906 59.2812\n",
"Q69 59.4688 70.1406 60.6094\n",
"Q71.2969 61.7656 71.2969 62.8906\n",
"Q71.2969 64.7969 67.9219 64.7969\n",
"Q66.8906 64.7969 66.8906 66.1094\n",
"Q67.0938 66.8906 67.2031 67.3281\n",
"Q67.3281 67.7812 67.6406 68.0469\n",
"Q67.9688 68.3125 68.6094 68.3125\n",
"L87.9844 68.3125\n",
"Q88.5312 68.3125 88.7656 67.9219\n",
"Q89.0156 67.5312 89.0156 67\n",
"Q88.9688 66.75 88.7969 66.1094\n",
"Q88.625 65.4844 88.3594 65.1406\n",
"Q88.0938 64.7969 87.5938 64.7969\n",
"Q80.2812 64.7969 71.5781 58.0156\n",
"Q71.5312 57.9531 71.4375 57.9219\n",
"Q71.3438 57.9062 71.2344 57.875\n",
"Q71.1406 57.8594 71.0938 57.8125\n",
"L50.4844 41.7969\n",
"L65.4844 6.6875\n",
"Q66.8438 4.5 68.4062 4\n",
"Q69.9688 3.51562 73.1875 3.51562\n",
"Q74.2188 3.51562 74.2188 2.20312\n",
"Q73.9219 1.03125 73.625 0.515625\n",
"Q73.3438 0 72.5156 0\n",
"L49.3125 0\n",
"Q48.3906 0 48.3906 1.3125\n",
"Q48.5312 2.34375 48.7188 2.92188\n",
"Q48.9219 3.51562 49.7031 3.51562\n",
"Q52.25 3.51562 54.0312 4.03125\n",
"Q55.8125 4.54688 55.8125 6.39062\n",
"Q55.8125 7.07812 55.7188 7.42188\n",
"L43.3125 36.2812\n",
"L28.7188 25\n",
"L24.125 6.5\n",
"Q23.875 5.28125 23.875 5.07812\n",
"Q23.875 4.04688 25.0938 3.90625\n",
"Q27 3.51562 32.3281 3.51562\n",
"Q33.2969 3.51562 33.2969 2.20312\n",
"Q32.9531 0.78125 32.75 0.390625\n",
"Q32.5625 0 31.5938 0\n",
"z\n",
"\" id=\"Cmmi10-4b\"/>\n",
" </defs>\n",
" <g transform=\"translate(348.72 50.031875)scale(0.12 -0.12)\">\n",
" <use transform=\"translate(0.0 0.3890624999999943)\" xlink:href=\"#Cmmi10-4b\"/>\n",
" <use transform=\"translate(97.203125 43.192187499999996)scale(0.7)\" xlink:href=\"#Cmr10-2b\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"patch_13\">\n",
" <path d=\"\n",
"M315.12 67.6456\n",
"L339.12 67.6456\n",
"L339.12 59.2456\n",
"L315.12 59.2456\n",
"z\n",
"\" style=\"fill:none;stroke:#0000ff;\"/>\n",
" </g>\n",
" <g id=\"text_18\">\n",
" <!-- $\\pi^+$ -->\n",
" <defs>\n",
" <path d=\"\n",
"M10.1094 1.70312\n",
"Q10.1094 2.25 10.5 3.32812\n",
"Q13.2812 9.125 15.6875 14.7188\n",
"Q18.1094 20.3125 20.0312 25.6094\n",
"Q21.9688 30.9062 23.5781 36.9219\n",
"L17.1875 36.9219\n",
"Q13.5312 36.9219 10.3438 34.625\n",
"Q7.17188 32.3281 5.07812 28.8125\n",
"Q4.89062 28.4219 4.5 28.4219\n",
"L3.32812 28.4219\n",
"Q2.39062 28.4219 2.39062 29.3906\n",
"Q2.39062 29.5938 2.59375 29.9844\n",
"Q5.85938 35.5469 9.59375 39.3281\n",
"Q13.3281 43.1094 18.0156 43.1094\n",
"L54.2969 43.1094\n",
"Q55.3281 43.1094 56.0469 42.4219\n",
"Q56.7812 41.75 56.7812 40.5781\n",
"Q56.7812 39.1094 55.7344 38.0156\n",
"Q54.6875 36.9219 53.2188 36.9219\n",
"L40.4844 36.9219\n",
"Q38.875 29.0469 38.7188 21.5781\n",
"Q38.7188 11.9688 42.0938 4.20312\n",
"Q42.3906 3.60938 42.3906 2.98438\n",
"Q42.3906 1.90625 41.75 0.96875\n",
"Q41.1094 0.046875 40.1094 -0.53125\n",
"Q39.1094 -1.125 37.9844 -1.125\n",
"Q35.3594 -1.125 34.375 3.17188\n",
"Q33.4062 7.46875 33.4062 11.5312\n",
"Q33.4062 17.2344 34.375 22.5312\n",
"Q35.3594 27.8281 37.5 36.9219\n",
"L26.6094 36.9219\n",
"Q18.7031 4.89062 17.0938 1.60938\n",
"Q15.6719 -1.125 13.1875 -1.125\n",
"Q11.9688 -1.125 11.0312 -0.3125\n",
"Q10.1094 0.484375 10.1094 1.70312\" id=\"Cmmi10-bc\"/>\n",
" </defs>\n",
" <g transform=\"translate(348.72 67.645625)scale(0.12 -0.12)\">\n",
" <use transform=\"translate(0.0 0.6765625000000028)\" xlink:href=\"#Cmmi10-bc\"/>\n",
" <use transform=\"translate(69.2734375 43.1921875)scale(0.7)\" xlink:href=\"#Cmr10-2b\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <defs>\n",
" <clipPath id=\"pb8a5cdf050\">\n",
" <rect height=\"223.2\" width=\"334.8\" x=\"45.6\" y=\"12.5\"/>\n",
" </clipPath>\n",
" </defs>\n",
"</svg>\n"
],
"text": [
"<matplotlib.figure.Figure at 0x7fd67efdfe50>"
]
}
],
"prompt_number": 35
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot differential flow for each species. This is limited somewhat by statistics."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def vn(n, phi):\n",
" vx = np.sin(n*phi).mean()\n",
" vy = np.cos(n*phi).mean()\n",
" return np.sqrt(vx*vx + vy*vy)\n",
"\n",
"def dvn(n, pTwidth, pT, phi):\n",
" x = []\n",
" for pTmin in np.arange(0, pT.max(), pTwidth):\n",
" cond = (pTmin < pT) & (pT < pTmin+pTwidth)\n",
" N = np.count_nonzero(cond)\n",
" if N > 100:\n",
" x.append([pTmin + .5*pTwidth, vn(n, phi[cond]), N])\n",
" \n",
" return np.array(x).T"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 26
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for i,c,l in zip(species,('b','g','r'),(r'$\\pi^+$',r'$K^+$',r'$p$')):\n",
" p, v, n = dvn(2, .4, pT[i], phi[i])\n",
" err = 1/np.sqrt(n)\n",
" plt.plot(p, v, color=c, label=l)\n",
" plt.fill_between(p, v+err, v-err, alpha=.2, color=c)\n",
"plt.ylim(0,.3);\n",
"plt.xlabel('$p_T$')\n",
"plt.ylabel(r'$v_2$');\n",
"plt.legend();"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"svg": [
"<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
"<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
"<svg height=\"270pt\" version=\"1.1\" viewBox=\"0 0 395 270\" width=\"395pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
" <defs>\n",
" <style type=\"text/css\">\n",
"*{stroke-linecap:butt;stroke-linejoin:round;}\n",
" </style>\n",
" </defs>\n",
" <g id=\"figure_1\">\n",
" <g id=\"patch_1\">\n",
" <path d=\"\n",
"M0 270.795\n",
"L395.954 270.795\n",
"L395.954 0\n",
"L0 0\n",
"z\n",
"\" style=\"fill:#ffffff;\"/>\n",
" </g>\n",
" <g id=\"axes_1\">\n",
" <g id=\"patch_2\">\n",
" <path d=\"\n",
"M46.8203 235.239\n",
"L381.62 235.239\n",
"L381.62 12.0391\n",
"L46.8203 12.0391\n",
"z\n",
"\" style=\"fill:#ffffff;\"/>\n",
" </g>\n",
" <g id=\"PolyCollection_1\">\n",
" <defs>\n",
" <path d=\"\n",
"M65.9517 -108.929\n",
"L65.9517 -118.541\n",
"L104.215 -81.9101\n",
"L142.477 -77.1115\n",
"L180.74 -84.7845\n",
"L219.003 -92.1956\n",
"L257.266 -101.863\n",
"L295.529 -110.09\n",
"L333.792 -121.362\n",
"L372.055 -130.112\n",
"L372.055 -120.592\n",
"L372.055 -120.592\n",
"L333.792 -113.396\n",
"L295.529 -103.356\n",
"L257.266 -96.1411\n",
"L219.003 -87.2526\n",
"L180.74 -80.3857\n",
"L142.477 -72.9796\n",
"L104.215 -77.4437\n",
"L65.9517 -108.929\n",
"z\n",
"\" id=\"C0_0_ef67732d3f\"/>\n",
" </defs>\n",
" <g clip-path=\"url(#p2f8344c2b5)\">\n",
" <use style=\"fill:#0000ff;fill-opacity:0.2;stroke:#0000ff;stroke-opacity:0.2;\" x=\"0.0\" xlink:href=\"#C0_0_ef67732d3f\" y=\"270.7953125\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"PolyCollection_2\">\n",
" <defs>\n",
" <path d=\"\n",
"M104.215 -148.275\n",
"L104.215 -171.39\n",
"L142.477 -105.243\n",
"L180.74 -92.0406\n",
"L219.003 -79.5157\n",
"L257.266 -88.5983\n",
"L295.529 -94.2908\n",
"L333.792 -117.359\n",
"L372.055 -122.362\n",
"L372.055 -109.236\n",
"L372.055 -109.236\n",
"L333.792 -105.989\n",
"L295.529 -84.2176\n",
"L257.266 -79.3752\n",
"L219.003 -70.5985\n",
"L180.74 -82.6066\n",
"L142.477 -93.3227\n",
"L104.215 -148.275\n",
"z\n",
"\" id=\"C1_0_6ca2e61a51\"/>\n",
" </defs>\n",
" <g clip-path=\"url(#p2f8344c2b5)\">\n",
" <use style=\"fill:#008000;fill-opacity:0.2;stroke:#008000;stroke-opacity:0.2;\" x=\"0.0\" xlink:href=\"#C1_0_6ca2e61a51\" y=\"270.7953125\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"PolyCollection_3\">\n",
" <defs>\n",
" <path d=\"\n",
"M142.477 -182.536\n",
"L142.477 -259.998\n",
"L180.74 -161.339\n",
"L219.003 -135.619\n",
"L257.266 -103.436\n",
"L295.529 -94.1261\n",
"L333.792 -72.9134\n",
"L372.055 -102.164\n",
"L372.055 -80.6909\n",
"L372.055 -80.6909\n",
"L333.792 -51.8404\n",
"L295.529 -73.0636\n",
"L257.266 -80.4287\n",
"L219.003 -107.902\n",
"L180.74 -121.049\n",
"L142.477 -182.536\n",
"z\n",
"\" id=\"C2_0_72074a5929\"/>\n",
" </defs>\n",
" <g clip-path=\"url(#p2f8344c2b5)\">\n",
" <use style=\"fill:#ff0000;fill-opacity:0.2;stroke:#ff0000;stroke-opacity:0.2;\" x=\"0.0\" xlink:href=\"#C2_0_72074a5929\" y=\"270.7953125\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_1\">\n",
" <path clip-path=\"url(#p2f8344c2b5)\" d=\"\n",
"M65.9517 157.06\n",
"L104.215 191.118\n",
"L142.477 195.75\n",
"L180.74 188.21\n",
"L219.003 181.071\n",
"L257.266 171.793\n",
"L295.529 164.072\n",
"L333.792 153.416\n",
"L372.055 145.443\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;\"/>\n",
" </g>\n",
" <g id=\"line2d_2\">\n",
" <path clip-path=\"url(#p2f8344c2b5)\" d=\"\n",
"M104.215 110.963\n",
"L142.477 171.513\n",
"L180.74 183.472\n",
"L219.003 195.738\n",
"L257.266 186.809\n",
"L295.529 181.541\n",
"L333.792 159.121\n",
"L372.055 154.996\" style=\"fill:none;stroke:#008000;stroke-linecap:square;\"/>\n",
" </g>\n",
" <g id=\"line2d_3\">\n",
" <path clip-path=\"url(#p2f8344c2b5)\" d=\"\n",
"M142.477 49.528\n",
"L180.74 129.602\n",
"L219.003 149.035\n",
"L257.266 178.863\n",
"L295.529 187.2\n",
"L333.792 208.418\n",
"L372.055 179.368\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;\"/>\n",
" </g>\n",
" <g id=\"matplotlib.axis_1\">\n",
" <g id=\"xtick_1\">\n",
" <g id=\"line2d_4\">\n",
" <defs>\n",
" <path d=\"\n",
"M0 0\n",
"L0 -4\" id=\"mc7db9fdffb\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
" </defs>\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"46.8203125\" xlink:href=\"#mc7db9fdffb\" y=\"235.2390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_5\">\n",
" <defs>\n",
" <path d=\"\n",
"M0 0\n",
"L0 4\" id=\"m5a7d422ac3\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
" </defs>\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"46.8203125\" xlink:href=\"#m5a7d422ac3\" y=\"12.0390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_1\">\n",
" <!-- 0.0 -->\n",
" <defs>\n",
" <path d=\"\n",
"M31.7812 66.4062\n",
"Q24.1719 66.4062 20.3281 58.9062\n",
"Q16.5 51.4219 16.5 36.375\n",
"Q16.5 21.3906 20.3281 13.8906\n",
"Q24.1719 6.39062 31.7812 6.39062\n",
"Q39.4531 6.39062 43.2812 13.8906\n",
"Q47.125 21.3906 47.125 36.375\n",
"Q47.125 51.4219 43.2812 58.9062\n",
"Q39.4531 66.4062 31.7812 66.4062\n",
"M31.7812 74.2188\n",
"Q44.0469 74.2188 50.5156 64.5156\n",
"Q56.9844 54.8281 56.9844 36.375\n",
"Q56.9844 17.9688 50.5156 8.26562\n",
"Q44.0469 -1.42188 31.7812 -1.42188\n",
"Q19.5312 -1.42188 13.0625 8.26562\n",
"Q6.59375 17.9688 6.59375 36.375\n",
"Q6.59375 54.8281 13.0625 64.5156\n",
"Q19.5312 74.2188 31.7812 74.2188\" id=\"BitstreamVeraSans-Roman-30\"/>\n",
" <path d=\"\n",
"M10.6875 12.4062\n",
"L21 12.4062\n",
"L21 0\n",
"L10.6875 0\n",
"z\n",
"\" id=\"BitstreamVeraSans-Roman-2e\"/>\n",
" </defs>\n",
" <g transform=\"translate(39.53046875 246.8375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_2\">\n",
" <g id=\"line2d_6\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"94.6488839286\" xlink:href=\"#mc7db9fdffb\" y=\"235.2390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_7\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"94.6488839286\" xlink:href=\"#m5a7d422ac3\" y=\"12.0390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_2\">\n",
" <!-- 0.5 -->\n",
" <defs>\n",
" <path d=\"\n",
"M10.7969 72.9062\n",
"L49.5156 72.9062\n",
"L49.5156 64.5938\n",
"L19.8281 64.5938\n",
"L19.8281 46.7344\n",
"Q21.9688 47.4688 24.1094 47.8281\n",
"Q26.2656 48.1875 28.4219 48.1875\n",
"Q40.625 48.1875 47.75 41.5\n",
"Q54.8906 34.8125 54.8906 23.3906\n",
"Q54.8906 11.625 47.5625 5.09375\n",
"Q40.2344 -1.42188 26.9062 -1.42188\n",
"Q22.3125 -1.42188 17.5469 -0.640625\n",
"Q12.7969 0.140625 7.71875 1.70312\n",
"L7.71875 11.625\n",
"Q12.1094 9.23438 16.7969 8.0625\n",
"Q21.4844 6.89062 26.7031 6.89062\n",
"Q35.1562 6.89062 40.0781 11.3281\n",
"Q45.0156 15.7656 45.0156 23.3906\n",
"Q45.0156 31 40.0781 35.4375\n",
"Q35.1562 39.8906 26.7031 39.8906\n",
"Q22.75 39.8906 18.8125 39.0156\n",
"Q14.8906 38.1406 10.7969 36.2812\n",
"z\n",
"\" id=\"BitstreamVeraSans-Roman-35\"/>\n",
" </defs>\n",
" <g transform=\"translate(87.4637276786 246.8375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_3\">\n",
" <g id=\"line2d_8\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"142.477455357\" xlink:href=\"#mc7db9fdffb\" y=\"235.2390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_9\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"142.477455357\" xlink:href=\"#m5a7d422ac3\" y=\"12.0390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_3\">\n",
" <!-- 1.0 -->\n",
" <defs>\n",
" <path d=\"\n",
"M12.4062 8.29688\n",
"L28.5156 8.29688\n",
"L28.5156 63.9219\n",
"L10.9844 60.4062\n",
"L10.9844 69.3906\n",
"L28.4219 72.9062\n",
"L38.2812 72.9062\n",
"L38.2812 8.29688\n",
"L54.3906 8.29688\n",
"L54.3906 0\n",
"L12.4062 0\n",
"z\n",
"\" id=\"BitstreamVeraSans-Roman-31\"/>\n",
" </defs>\n",
" <g transform=\"translate(135.407142857 246.8375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_4\">\n",
" <g id=\"line2d_10\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"190.306026786\" xlink:href=\"#mc7db9fdffb\" y=\"235.2390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_11\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"190.306026786\" xlink:href=\"#m5a7d422ac3\" y=\"12.0390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_4\">\n",
" <!-- 1.5 -->\n",
" <g transform=\"translate(183.340401786 246.8375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_5\">\n",
" <g id=\"line2d_12\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"238.134598214\" xlink:href=\"#mc7db9fdffb\" y=\"235.2390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_13\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"238.134598214\" xlink:href=\"#m5a7d422ac3\" y=\"12.0390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_5\">\n",
" <!-- 2.0 -->\n",
" <defs>\n",
" <path d=\"\n",
"M19.1875 8.29688\n",
"L53.6094 8.29688\n",
"L53.6094 0\n",
"L7.32812 0\n",
"L7.32812 8.29688\n",
"Q12.9375 14.1094 22.625 23.8906\n",
"Q32.3281 33.6875 34.8125 36.5312\n",
"Q39.5469 41.8438 41.4219 45.5312\n",
"Q43.3125 49.2188 43.3125 52.7812\n",
"Q43.3125 58.5938 39.2344 62.25\n",
"Q35.1562 65.9219 28.6094 65.9219\n",
"Q23.9688 65.9219 18.8125 64.3125\n",
"Q13.6719 62.7031 7.8125 59.4219\n",
"L7.8125 69.3906\n",
"Q13.7656 71.7812 18.9375 73\n",
"Q24.125 74.2188 28.4219 74.2188\n",
"Q39.75 74.2188 46.4844 68.5469\n",
"Q53.2188 62.8906 53.2188 53.4219\n",
"Q53.2188 48.9219 51.5312 44.8906\n",
"Q49.8594 40.875 45.4062 35.4062\n",
"Q44.1875 33.9844 37.6406 27.2188\n",
"Q31.1094 20.4531 19.1875 8.29688\" id=\"BitstreamVeraSans-Roman-32\"/>\n",
" </defs>\n",
" <g transform=\"translate(230.881473214 246.8375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_6\">\n",
" <g id=\"line2d_14\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"285.963169643\" xlink:href=\"#mc7db9fdffb\" y=\"235.2390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_15\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"285.963169643\" xlink:href=\"#m5a7d422ac3\" y=\"12.0390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_6\">\n",
" <!-- 2.5 -->\n",
" <g transform=\"translate(278.814732143 246.8375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_7\">\n",
" <g id=\"line2d_16\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"333.791741071\" xlink:href=\"#mc7db9fdffb\" y=\"235.2390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_17\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"333.791741071\" xlink:href=\"#m5a7d422ac3\" y=\"12.0390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_7\">\n",
" <!-- 3.0 -->\n",
" <defs>\n",
" <path d=\"\n",
"M40.5781 39.3125\n",
"Q47.6562 37.7969 51.625 33\n",
"Q55.6094 28.2188 55.6094 21.1875\n",
"Q55.6094 10.4062 48.1875 4.48438\n",
"Q40.7656 -1.42188 27.0938 -1.42188\n",
"Q22.5156 -1.42188 17.6562 -0.515625\n",
"Q12.7969 0.390625 7.625 2.20312\n",
"L7.625 11.7188\n",
"Q11.7188 9.32812 16.5938 8.10938\n",
"Q21.4844 6.89062 26.8125 6.89062\n",
"Q36.0781 6.89062 40.9375 10.5469\n",
"Q45.7969 14.2031 45.7969 21.1875\n",
"Q45.7969 27.6406 41.2812 31.2656\n",
"Q36.7656 34.9062 28.7188 34.9062\n",
"L20.2188 34.9062\n",
"L20.2188 43.0156\n",
"L29.1094 43.0156\n",
"Q36.375 43.0156 40.2344 45.9219\n",
"Q44.0938 48.8281 44.0938 54.2969\n",
"Q44.0938 59.9062 40.1094 62.9062\n",
"Q36.1406 65.9219 28.7188 65.9219\n",
"Q24.6562 65.9219 20.0156 65.0312\n",
"Q15.375 64.1562 9.8125 62.3125\n",
"L9.8125 71.0938\n",
"Q15.4375 72.6562 20.3438 73.4375\n",
"Q25.25 74.2188 29.5938 74.2188\n",
"Q40.8281 74.2188 47.3594 69.1094\n",
"Q53.9062 64.0156 53.9062 55.3281\n",
"Q53.9062 49.2656 50.4375 45.0938\n",
"Q46.9688 40.9219 40.5781 39.3125\" id=\"BitstreamVeraSans-Roman-33\"/>\n",
" </defs>\n",
" <g transform=\"translate(326.553459821 246.8375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-33\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_8\">\n",
" <g id=\"line2d_18\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"381.6203125\" xlink:href=\"#mc7db9fdffb\" y=\"235.2390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_19\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"381.6203125\" xlink:href=\"#m5a7d422ac3\" y=\"12.0390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_8\">\n",
" <!-- 3.5 -->\n",
" <g transform=\"translate(374.48671875 246.8375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-33\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_9\">\n",
" <!-- $p_T$ -->\n",
" <defs>\n",
" <path d=\"\n",
"M-2.48438 -19.3906\n",
"Q-3.42188 -19.3906 -3.42188 -18.1094\n",
"Q-3.07812 -15.9219 -2.09375 -15.9219\n",
"Q1.03125 -15.9219 2.26562 -15.3594\n",
"Q3.51562 -14.7969 4.20312 -12.5\n",
"L15.4844 32.5156\n",
"Q16.2188 34.375 16.2188 37.3125\n",
"Q16.2188 41.6094 13.2812 41.6094\n",
"Q10.1562 41.6094 8.64062 37.8594\n",
"Q7.125 34.125 5.71875 28.4219\n",
"Q5.71875 27.7812 4.89062 27.7812\n",
"L3.71875 27.7812\n",
"Q3.46875 27.7812 3.17188 28.1406\n",
"Q2.875 28.5156 2.875 28.8125\n",
"Q3.95312 33.1562 4.95312 36.1719\n",
"Q5.95312 39.2031 8.07812 41.6875\n",
"Q10.2031 44.1875 13.375 44.1875\n",
"Q16.7969 44.1875 19.375 42.25\n",
"Q21.9688 40.3281 22.7031 37.0156\n",
"Q25.4375 40.1875 28.75 42.1875\n",
"Q32.0781 44.1875 35.5938 44.1875\n",
"Q39.7969 44.1875 42.8906 41.9375\n",
"Q46 39.7031 47.5625 36.0625\n",
"Q49.125 32.4219 49.125 28.2188\n",
"Q49.125 21.7812 45.8281 14.8906\n",
"Q42.5312 8.01562 36.8906 3.4375\n",
"Q31.25 -1.125 24.8125 -1.125\n",
"Q21.875 -1.125 19.5 0.53125\n",
"Q17.1406 2.20312 15.8281 4.89062\n",
"L11.2812 -12.8906\n",
"Q11.0312 -14.3594 10.9844 -14.5938\n",
"Q10.9844 -15.9219 17.5781 -15.9219\n",
"Q18.6094 -15.9219 18.6094 -17.1875\n",
"Q18.2656 -18.5 18.0469 -18.9375\n",
"Q17.8281 -19.3906 16.8906 -19.3906\n",
"z\n",
"\n",
"M24.9062 1.51562\n",
"Q28.375 1.51562 31.3438 4.375\n",
"Q34.3281 7.23438 36.1875 10.7969\n",
"Q37.5469 13.4844 38.7344 17.3594\n",
"Q39.9375 21.2344 40.8125 25.625\n",
"Q41.7031 30.0312 41.7031 32.625\n",
"Q41.7031 34.9062 41.0938 36.9062\n",
"Q40.4844 38.9219 39.0938 40.2656\n",
"Q37.7031 41.6094 35.4062 41.6094\n",
"Q31.7344 41.6094 28.4844 38.9844\n",
"Q25.25 36.375 22.6094 32.5156\n",
"L22.6094 32.1719\n",
"L17.0938 10.1094\n",
"Q17.7812 6.54688 19.7344 4.03125\n",
"Q21.6875 1.51562 24.9062 1.51562\" id=\"Cmmi10-70\"/>\n",
" <path d=\"\n",
"M4.59375 1.3125\n",
"Q4.64062 1.5625 4.8125 2.1875\n",
"Q4.98438 2.82812 5.25 3.17188\n",
"Q5.51562 3.51562 6 3.51562\n",
"Q14.5938 3.51562 17.3906 4\n",
"Q20.0625 4.6875 20.6094 6.89062\n",
"L34.2812 61.8125\n",
"Q34.7188 63.0312 34.7188 64.0156\n",
"Q34.7188 64.7969 31.2031 64.7969\n",
"L25.3906 64.7969\n",
"Q18.7031 64.7969 15.0625 62.7344\n",
"Q11.4219 60.6875 9.71875 57.3125\n",
"Q8.01562 53.9531 5.32812 46.2969\n",
"Q4.98438 45.4062 4.29688 45.4062\n",
"L3.42188 45.4062\n",
"Q2.39062 45.4062 2.39062 46.6875\n",
"L9.51562 67.3906\n",
"Q9.71875 68.3125 10.5 68.3125\n",
"L69.5781 68.3125\n",
"Q70.6094 68.3125 70.6094 67\n",
"L67.2812 46.2969\n",
"Q67.2812 46 66.9375 45.7031\n",
"Q66.6094 45.4062 66.3125 45.4062\n",
"L65.375 45.4062\n",
"Q64.4062 45.4062 64.4062 46.6875\n",
"Q65.4844 53.7656 65.4844 56.6875\n",
"Q65.4844 60.2031 64.0156 62\n",
"Q62.5469 63.8125 60.2031 64.2969\n",
"Q57.8594 64.7969 54.1094 64.7969\n",
"L48.1875 64.7969\n",
"Q45.5156 64.7969 44.5781 64.2969\n",
"Q43.6562 63.8125 43.0156 61.375\n",
"L29.2969 6.5\n",
"Q29.25 6.29688 29.2188 6.09375\n",
"Q29.2031 5.90625 29.1094 5.60938\n",
"Q29.1094 4.34375 30.6094 4\n",
"Q33.2031 3.51562 41.7031 3.51562\n",
"Q42.6719 3.51562 42.6719 2.20312\n",
"Q42.3281 0.78125 42.125 0.390625\n",
"Q41.9375 0 41.0156 0\n",
"L5.60938 0\n",
"Q4.59375 0 4.59375 1.3125\" id=\"Cmmi10-54\"/>\n",
" </defs>\n",
" <g transform=\"translate(208.7703125 260.9953125)scale(0.1 -0.1)\">\n",
" <use transform=\"translate(0.0 0.8125)\" xlink:href=\"#Cmmi10-70\"/>\n",
" <use transform=\"translate(50.29296875 -24.696875000000006)scale(0.7)\" xlink:href=\"#Cmmi10-54\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"matplotlib.axis_2\">\n",
" <g id=\"ytick_1\">\n",
" <g id=\"line2d_20\">\n",
" <defs>\n",
" <path d=\"\n",
"M0 0\n",
"L4 0\" id=\"md7965d1ba0\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
" </defs>\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"46.8203125\" xlink:href=\"#md7965d1ba0\" y=\"235.2390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_21\">\n",
" <defs>\n",
" <path d=\"\n",
"M0 0\n",
"L-4 0\" id=\"md9a1c1a7cd\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
" </defs>\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"381.6203125\" xlink:href=\"#md9a1c1a7cd\" y=\"235.2390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_10\">\n",
" <!-- 0.00 -->\n",
" <g transform=\"translate(21.878125 237.9984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use x=\"159.033203125\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_2\">\n",
" <g id=\"line2d_22\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"46.8203125\" xlink:href=\"#md7965d1ba0\" y=\"198.0390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_23\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"381.6203125\" xlink:href=\"#md9a1c1a7cd\" y=\"198.0390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_11\">\n",
" <!-- 0.05 -->\n",
" <g transform=\"translate(22.0875 200.7984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use x=\"159.033203125\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_3\">\n",
" <g id=\"line2d_24\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"46.8203125\" xlink:href=\"#md7965d1ba0\" y=\"160.8390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_25\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"381.6203125\" xlink:href=\"#md9a1c1a7cd\" y=\"160.8390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_12\">\n",
" <!-- 0.10 -->\n",
" <g transform=\"translate(21.878125 163.5984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
" <use x=\"159.033203125\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_4\">\n",
" <g id=\"line2d_26\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"46.8203125\" xlink:href=\"#md7965d1ba0\" y=\"123.6390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_27\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"381.6203125\" xlink:href=\"#md9a1c1a7cd\" y=\"123.6390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_13\">\n",
" <!-- 0.15 -->\n",
" <g transform=\"translate(22.0875 126.3984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-31\"/>\n",
" <use x=\"159.033203125\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_5\">\n",
" <g id=\"line2d_28\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"46.8203125\" xlink:href=\"#md7965d1ba0\" y=\"86.4390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_29\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"381.6203125\" xlink:href=\"#md9a1c1a7cd\" y=\"86.4390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_14\">\n",
" <!-- 0.20 -->\n",
" <g transform=\"translate(21.878125 89.1984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
" <use x=\"159.033203125\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_6\">\n",
" <g id=\"line2d_30\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"46.8203125\" xlink:href=\"#md7965d1ba0\" y=\"49.2390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_31\">\n",
" <g>\n",
" <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"381.6203125\" xlink:href=\"#md9a1c1a7cd\" y=\"49.2390625\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_15\">\n",
" <!-- 0.25 -->\n",
" <g transform=\"translate(22.0875 51.9984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-32\"/>\n",
" <use x=\"159.033203125\" xlink:href=\"#BitstreamVeraSans-Roman-35\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_7\">\n",
" <g id=\"text_16\">\n",
" <!-- 0.30 -->\n",
" <g transform=\"translate(21.878125 14.7984375)scale(0.1 -0.1)\">\n",
" <use xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" <use x=\"63.623046875\" xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n",
" <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-33\"/>\n",
" <use x=\"159.033203125\" xlink:href=\"#BitstreamVeraSans-Roman-30\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"text_17\">\n",
" <!-- $v_2$ -->\n",
" <defs>\n",
" <path d=\"\n",
"M4.98438 0\n",
"L4.98438 2.6875\n",
"Q4.98438 2.9375 5.17188 3.21875\n",
"L20.7031 20.4062\n",
"Q24.2188 24.2188 26.4062 26.7969\n",
"Q28.6094 29.3906 30.75 32.7656\n",
"Q32.9062 36.1406 34.1562 39.625\n",
"Q35.4062 43.1094 35.4062 47.0156\n",
"Q35.4062 51.125 33.8906 54.8594\n",
"Q32.375 58.5938 29.375 60.8438\n",
"Q26.375 63.0938 22.125 63.0938\n",
"Q17.7812 63.0938 14.3125 60.4688\n",
"Q10.8438 57.8594 9.42188 53.7188\n",
"Q9.8125 53.8125 10.5 53.8125\n",
"Q12.75 53.8125 14.3281 52.2969\n",
"Q15.9219 50.7812 15.9219 48.3906\n",
"Q15.9219 46.0938 14.3281 44.5\n",
"Q12.75 42.9219 10.5 42.9219\n",
"Q8.15625 42.9219 6.5625 44.5469\n",
"Q4.98438 46.1875 4.98438 48.3906\n",
"Q4.98438 52.1562 6.39062 55.4375\n",
"Q7.8125 58.7344 10.4688 61.2969\n",
"Q13.1406 63.875 16.4844 65.2344\n",
"Q19.8281 66.6094 23.5781 66.6094\n",
"Q29.2969 66.6094 34.2188 64.1875\n",
"Q39.1562 61.7656 42.0312 57.3438\n",
"Q44.9219 52.9375 44.9219 47.0156\n",
"Q44.9219 42.6719 43.0156 38.7656\n",
"Q41.1094 34.8594 38.125 31.6562\n",
"Q35.1562 28.4688 30.5156 24.4062\n",
"Q25.875 20.3594 24.4219 19\n",
"L13.0938 8.10938\n",
"L22.7031 8.10938\n",
"Q29.7812 8.10938 34.5469 8.21875\n",
"Q39.3125 8.34375 39.5938 8.59375\n",
"Q40.7656 9.85938 42 17.8281\n",
"L44.9219 17.8281\n",
"L42.0938 0\n",
"z\n",
"\" id=\"Cmr10-32\"/>\n",
" <path d=\"\n",
"M10.6875 11.2812\n",
"Q10.6875 13.5312 11.2188 16.2031\n",
"Q11.7656 18.8906 12.2969 20.625\n",
"Q12.8438 22.3594 14.75 27.3906\n",
"Q16.6562 32.4219 16.7031 32.625\n",
"Q18.0156 36.2812 18.0156 38.625\n",
"Q18.0156 41.6094 15.8281 41.6094\n",
"Q11.8594 41.6094 9.29688 37.5312\n",
"Q6.73438 33.4531 5.51562 28.4219\n",
"Q5.32812 27.7812 4.6875 27.7812\n",
"L3.51562 27.7812\n",
"Q2.6875 27.7812 2.6875 28.7188\n",
"L2.6875 29\n",
"Q4.29688 34.9688 7.60938 39.5781\n",
"Q10.9375 44.1875 16.0156 44.1875\n",
"Q19.5781 44.1875 22.0469 41.8438\n",
"Q24.5156 39.5 24.5156 35.8906\n",
"Q24.5156 34.0312 23.6875 31.9844\n",
"Q21.7344 26.9062 20.6094 23.8438\n",
"Q19.4844 20.7969 18.5312 17.0156\n",
"Q17.5781 13.2344 17.5781 10.0156\n",
"Q17.5781 6.25 19.3125 3.875\n",
"Q21.0469 1.51562 24.7031 1.51562\n",
"Q31.6406 1.51562 37.2031 12.2031\n",
"Q38.9688 15.6719 40.5312 20.3594\n",
"Q42.0938 25.0469 42.0938 27.9844\n",
"Q42.0938 31 41.1094 32.6875\n",
"Q40.1406 34.375 38.5781 36.2031\n",
"Q37.0156 38.0312 37.0156 39.1094\n",
"Q37.0156 41.0625 38.625 42.6719\n",
"Q40.2344 44.2812 42.1875 44.2812\n",
"Q44.5781 44.2812 45.625 42.0781\n",
"Q46.6875 39.8906 46.6875 37.1094\n",
"Q46.6875 33.7969 45.7344 29.2031\n",
"Q44.7812 24.6094 43.0938 19.6719\n",
"Q41.4062 14.75 39.9844 11.9219\n",
"Q33.4062 -1.125 24.6094 -1.125\n",
"Q18.3125 -1.125 14.5 2.01562\n",
"Q10.6875 5.17188 10.6875 11.2812\" id=\"Cmmi10-76\"/>\n",
" </defs>\n",
" <g transform=\"translate(14.278125 128.5890625)rotate(-90.0)scale(0.1 -0.1)\">\n",
" <use transform=\"translate(0.0 0.71875)\" xlink:href=\"#Cmmi10-76\"/>\n",
" <use transform=\"translate(48.388671875 -24.790625000000006)scale(0.7)\" xlink:href=\"#Cmr10-32\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"patch_3\">\n",
" <path d=\"\n",
"M46.8203 235.239\n",
"L381.62 235.239\" style=\"fill:none;stroke:#000000;\"/>\n",
" </g>\n",
" <g id=\"patch_4\">\n",
" <path d=\"\n",
"M46.8203 12.0391\n",
"L381.62 12.0391\" style=\"fill:none;stroke:#000000;\"/>\n",
" </g>\n",
" <g id=\"patch_5\">\n",
" <path d=\"\n",
"M381.62 235.239\n",
"L381.62 12.0391\" style=\"fill:none;stroke:#000000;\"/>\n",
" </g>\n",
" <g id=\"patch_6\">\n",
" <path d=\"\n",
"M46.8203 235.239\n",
"L46.8203 12.0391\" style=\"fill:none;stroke:#000000;\"/>\n",
" </g>\n",
" <g id=\"legend_1\">\n",
" <g id=\"patch_7\">\n",
" <path d=\"\n",
"M311.54 74.4803\n",
"L375.62 74.4803\n",
"L375.62 18.0391\n",
"L311.54 18.0391\n",
"L311.54 74.4803\n",
"z\n",
"\" style=\"fill:#ffffff;stroke:#000000;\"/>\n",
" </g>\n",
" <g id=\"line2d_32\">\n",
" <path d=\"\n",
"M319.94 27.7572\n",
"L336.74 27.7572\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;\"/>\n",
" </g>\n",
" <g id=\"line2d_33\"/>\n",
" <g id=\"text_18\">\n",
" <!-- $\\pi^+$ -->\n",
" <defs>\n",
" <path d=\"\n",
"M7.51562 23\n",
"Q6.6875 23 6.14062 23.625\n",
"Q5.60938 24.2656 5.60938 25\n",
"Q5.60938 25.7344 6.14062 26.3594\n",
"Q6.6875 27 7.51562 27\n",
"L36.9219 27\n",
"L36.9219 56.5\n",
"Q36.9219 57.2812 37.5 57.7812\n",
"Q38.0938 58.2969 38.9219 58.2969\n",
"Q39.6562 58.2969 40.2812 57.7812\n",
"Q40.9219 57.2812 40.9219 56.5\n",
"L40.9219 27\n",
"L70.3125 27\n",
"Q71.0469 27 71.5781 26.3594\n",
"Q72.125 25.7344 72.125 25\n",
"Q72.125 24.2656 71.5781 23.625\n",
"Q71.0469 23 70.3125 23\n",
"L40.9219 23\n",
"L40.9219 -6.5\n",
"Q40.9219 -7.28125 40.2812 -7.78125\n",
"Q39.6562 -8.29688 38.9219 -8.29688\n",
"Q38.0938 -8.29688 37.5 -7.78125\n",
"Q36.9219 -7.28125 36.9219 -6.5\n",
"L36.9219 23\n",
"z\n",
"\" id=\"Cmr10-2b\"/>\n",
" <path d=\"\n",
"M10.1094 1.70312\n",
"Q10.1094 2.25 10.5 3.32812\n",
"Q13.2812 9.125 15.6875 14.7188\n",
"Q18.1094 20.3125 20.0312 25.6094\n",
"Q21.9688 30.9062 23.5781 36.9219\n",
"L17.1875 36.9219\n",
"Q13.5312 36.9219 10.3438 34.625\n",
"Q7.17188 32.3281 5.07812 28.8125\n",
"Q4.89062 28.4219 4.5 28.4219\n",
"L3.32812 28.4219\n",
"Q2.39062 28.4219 2.39062 29.3906\n",
"Q2.39062 29.5938 2.59375 29.9844\n",
"Q5.85938 35.5469 9.59375 39.3281\n",
"Q13.3281 43.1094 18.0156 43.1094\n",
"L54.2969 43.1094\n",
"Q55.3281 43.1094 56.0469 42.4219\n",
"Q56.7812 41.75 56.7812 40.5781\n",
"Q56.7812 39.1094 55.7344 38.0156\n",
"Q54.6875 36.9219 53.2188 36.9219\n",
"L40.4844 36.9219\n",
"Q38.875 29.0469 38.7188 21.5781\n",
"Q38.7188 11.9688 42.0938 4.20312\n",
"Q42.3906 3.60938 42.3906 2.98438\n",
"Q42.3906 1.90625 41.75 0.96875\n",
"Q41.1094 0.046875 40.1094 -0.53125\n",
"Q39.1094 -1.125 37.9844 -1.125\n",
"Q35.3594 -1.125 34.375 3.17188\n",
"Q33.4062 7.46875 33.4062 11.5312\n",
"Q33.4062 17.2344 34.375 22.5312\n",
"Q35.3594 27.8281 37.5 36.9219\n",
"L26.6094 36.9219\n",
"Q18.7031 4.89062 17.0938 1.60938\n",
"Q15.6719 -1.125 13.1875 -1.125\n",
"Q11.9688 -1.125 11.0312 -0.3125\n",
"Q10.1094 0.484375 10.1094 1.70312\" id=\"Cmmi10-bc\"/>\n",
" </defs>\n",
" <g transform=\"translate(349.9403125 31.9571875)scale(0.12 -0.12)\">\n",
" <use transform=\"translate(0.0 0.6765625000000028)\" xlink:href=\"#Cmmi10-bc\"/>\n",
" <use transform=\"translate(69.2734375 43.1921875)scale(0.7)\" xlink:href=\"#Cmr10-2b\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_34\">\n",
" <path d=\"\n",
"M319.94 45.3709\n",
"L336.74 45.3709\" style=\"fill:none;stroke:#008000;stroke-linecap:square;\"/>\n",
" </g>\n",
" <g id=\"line2d_35\"/>\n",
" <g id=\"text_19\">\n",
" <!-- $K^+$ -->\n",
" <defs>\n",
" <path d=\"\n",
"M4.6875 0\n",
"Q3.71875 0 3.71875 1.3125\n",
"Q3.76562 1.5625 3.90625 2.17188\n",
"Q4.04688 2.78125 4.3125 3.14062\n",
"Q4.59375 3.51562 4.98438 3.51562\n",
"Q11.0781 3.51562 13.4844 4.20312\n",
"Q14.7969 4.64062 15.375 6.89062\n",
"L29.1094 61.8125\n",
"Q29.2969 62.7969 29.2969 63.1875\n",
"Q29.2969 64.2656 28.0781 64.4062\n",
"Q26.2188 64.7969 20.9062 64.7969\n",
"Q19.9219 64.7969 19.9219 66.1094\n",
"Q20.2656 67.3906 20.4531 67.8438\n",
"Q20.6562 68.3125 21.5781 68.3125\n",
"L48.4844 68.3125\n",
"Q49.5156 68.3125 49.5156 67\n",
"Q49.4688 66.75 49.3125 66.1562\n",
"Q49.1719 65.5781 48.9219 65.1875\n",
"Q48.6875 64.7969 48.1875 64.7969\n",
"Q42.0938 64.7969 39.7031 64.1094\n",
"Q38.375 63.625 37.7969 61.375\n",
"L29.6875 29\n",
"L68.8906 59.2812\n",
"Q69 59.4688 70.1406 60.6094\n",
"Q71.2969 61.7656 71.2969 62.8906\n",
"Q71.2969 64.7969 67.9219 64.7969\n",
"Q66.8906 64.7969 66.8906 66.1094\n",
"Q67.0938 66.8906 67.2031 67.3281\n",
"Q67.3281 67.7812 67.6406 68.0469\n",
"Q67.9688 68.3125 68.6094 68.3125\n",
"L87.9844 68.3125\n",
"Q88.5312 68.3125 88.7656 67.9219\n",
"Q89.0156 67.5312 89.0156 67\n",
"Q88.9688 66.75 88.7969 66.1094\n",
"Q88.625 65.4844 88.3594 65.1406\n",
"Q88.0938 64.7969 87.5938 64.7969\n",
"Q80.2812 64.7969 71.5781 58.0156\n",
"Q71.5312 57.9531 71.4375 57.9219\n",
"Q71.3438 57.9062 71.2344 57.875\n",
"Q71.1406 57.8594 71.0938 57.8125\n",
"L50.4844 41.7969\n",
"L65.4844 6.6875\n",
"Q66.8438 4.5 68.4062 4\n",
"Q69.9688 3.51562 73.1875 3.51562\n",
"Q74.2188 3.51562 74.2188 2.20312\n",
"Q73.9219 1.03125 73.625 0.515625\n",
"Q73.3438 0 72.5156 0\n",
"L49.3125 0\n",
"Q48.3906 0 48.3906 1.3125\n",
"Q48.5312 2.34375 48.7188 2.92188\n",
"Q48.9219 3.51562 49.7031 3.51562\n",
"Q52.25 3.51562 54.0312 4.03125\n",
"Q55.8125 4.54688 55.8125 6.39062\n",
"Q55.8125 7.07812 55.7188 7.42188\n",
"L43.3125 36.2812\n",
"L28.7188 25\n",
"L24.125 6.5\n",
"Q23.875 5.28125 23.875 5.07812\n",
"Q23.875 4.04688 25.0938 3.90625\n",
"Q27 3.51562 32.3281 3.51562\n",
"Q33.2969 3.51562 33.2969 2.20312\n",
"Q32.9531 0.78125 32.75 0.390625\n",
"Q32.5625 0 31.5938 0\n",
"z\n",
"\" id=\"Cmmi10-4b\"/>\n",
" </defs>\n",
" <g transform=\"translate(349.9403125 49.5709375)scale(0.12 -0.12)\">\n",
" <use transform=\"translate(0.0 0.3890624999999943)\" xlink:href=\"#Cmmi10-4b\"/>\n",
" <use transform=\"translate(97.203125 43.192187499999996)scale(0.7)\" xlink:href=\"#Cmr10-2b\"/>\n",
" </g>\n",
" </g>\n",
" <g id=\"line2d_36\">\n",
" <path d=\"\n",
"M319.94 62.9847\n",
"L336.74 62.9847\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;\"/>\n",
" </g>\n",
" <g id=\"line2d_37\"/>\n",
" <g id=\"text_20\">\n",
" <!-- $p$ -->\n",
" <g transform=\"translate(349.9403125 67.1846875)scale(0.12 -0.12)\">\n",
" <use transform=\"translate(0.0 0.8125)\" xlink:href=\"#Cmmi10-70\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <defs>\n",
" <clipPath id=\"p2f8344c2b5\">\n",
" <rect height=\"223.2\" width=\"334.8\" x=\"46.8203125\" y=\"12.0390625\"/>\n",
" </clipPath>\n",
" </defs>\n",
"</svg>\n"
],
"text": [
"<matplotlib.figure.Figure at 0x7fd67eeaa450>"
]
}
],
"prompt_number": 28
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment