{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>"
      ],
      "text/vnd.plotly.v1+html": [
       "<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from scipy.optimize import curve_fit\n",
    "\n",
    "\n",
    "import plotly\n",
    "from plotly.offline import download_plotlyjs, init_notebook_mode, plot, iplot\n",
    "import plotly.graph_objs as go\n",
    "\n",
    "init_notebook_mode(connected=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['id', 'E', 'theta', 'theta_start', 'colNum', 'L', 'state'], dtype='object')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trap18 = pd.read_table(\"../output/trap[18000.0].out\", sep=\"\\\\s+\",comment=\"#\")\n",
    "trap16 = pd.read_table(\"../output/trap[16000.0].out\", sep=\"\\\\s+\",comment=\"#\")\n",
    "trap14 = pd.read_table(\"../output/trap[14000.0].out\", sep=\"\\\\s+\",comment=\"#\")\n",
    "trap12 = pd.read_table(\"../output/trap[12000.0].out\", sep=\"\\\\s+\",comment=\"#\")\n",
    "trap18.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
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         "name": "E = 12 keV",
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3908.2999999999993, 2954.1000000000004, 140.5, 334.2999999999993, 2405.6000000000004, 19.400000000001455, 1450.7999999999993, 3664.2000000000007, 2284.6000000000004, 2056.2000000000007, 3465.0, 3502.2000000000007, 0.0, 1755.5, 702.7000000000007, 215.29999999999927, 3622.6000000000004, 1700.7000000000007, 826.7000000000007, 3715.7000000000007, 178.5, 657.9000000000015, 389.2000000000007, 405.7999999999993, 3375.0, 1333.2999999999993, 2142.2000000000007, 1472.5999999999985, 3727.0, 67.90000000000146, 1176.2999999999993, 682.4000000000015, 1954.0, 1960.7999999999993, 3790.2999999999993, 1959.3999999999996, 3495.7999999999993, 203.90000000000146, 312.09999999999854, 426.90000000000146, 3300.1000000000004, 210.90000000000146, 3991.5, 180.59999999999854, 971.7999999999993, 2086.7000000000007, 16.5, 592.2999999999993, 2066.3999999999996, 1353.5, 561.7999999999993, 3597.5, 2413.2999999999993, 3418.7000000000007, 3780.7999999999993, 3153.5, 476.90000000000146, 1698.2000000000007, 3559.7999999999993, 2426.5, 101.90000000000146, 3620.7000000000007, 920.5, 2966.0, 2946.8999999999996, 1696.0, 3716.7999999999993, 1007.0, 583.0, 1764.6000000000004, 778.4000000000015, 2929.2000000000007, 3366.7999999999993, 3997.8999999999996, 933.0999999999985, 1777.2000000000007, 24.700000000000728, 386.59999999999854, 2555.8999999999996, 1059.2000000000007, 3545.3999999999996, 2094.2000000000007, 1049.9000000000015, 1673.8999999999996, 3318.7999999999993, 3897.0, 2713.7999999999993, 15.599999999998545, 1540.5, 1722.2999999999993, 3072.5, 2532.2999999999993, 2475.1000000000004, 0.0, 3329.2000000000007, 2927.1000000000004, 2184.8999999999996, 2056.0, 2534.7999999999993, 1035.9000000000015, 993.2999999999993, 3417.1000000000004, 2780.3999999999996, 2005.3999999999996, 455.7000000000007, 2169.7000000000007, 3076.2000000000007, 1296.5999999999985, 1452.5, 3916.7000000000007, 3671.7000000000007, 862.7000000000007, 655.2000000000007, 1915.5, 1102.7000000000007, 3619.5, 2276.6000000000004, 2626.5, 3399.2999999999993, 627.0999999999985, 3873.3999999999996, 2412.2000000000007, 2552.6000000000004, 3991.7999999999993, 1633.7999999999993, 1564.2000000000007, 454.40000000000146, 1421.0999999999985, 743.5999999999985, 918.5999999999985, 875.2999999999993, 1675.7999999999993, 3054.5, 3334.7999999999993, 834.5, 3255.1000000000004, 3616.2999999999993, 657.2999999999993, 955.5, 1208.0999999999985, 3207.5, 872.4000000000015, 89.59999999999854, 2174.2999999999993, 3865.8999999999996, 3159.6000000000004, 293.7000000000007, 2449.3999999999996, 2629.5, 159.29999999999927, 2020.5, 1895.0, 2694.1000000000004, 3247.0, 1754.7000000000007, 539.5999999999985, 3783.2000000000007, 1850.0, 1109.7000000000007, 208.20000000000073, 1840.6000000000004, 546.4000000000015, 833.2999999999993, 114.5, 1310.7000000000007, 1179.4000000000015, 2013.7999999999993, 1935.6000000000004, 3009.1000000000004, 3480.7000000000007, 0.2000000000007276, 3052.6000000000004, 1257.5, 1651.7999999999993, 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2335.8999999999996, 1405.5999999999985, 3103.7999999999993, 947.2000000000007, 3644.2000000000007, 55.400000000001455, 2483.2999999999993, 3849.1000000000004, 997.4000000000015, 2391.3999999999996, 190.20000000000073, 1107.9000000000015, 1081.0999999999985, 3109.5, 3231.7000000000007, 3778.6000000000004, 3109.5, 1830.2999999999993, 3238.2999999999993, 2799.2000000000007, 2361.8999999999996, 1120.7000000000007, 2278.1000000000004, 240.29999999999927, 251.70000000000073, 3370.5, 3985.2999999999993, 1978.2000000000007, 1275.0999999999985, 3990.3999999999996, 1496.2999999999993, 3764.2999999999993, 2409.1000000000004, 2922.6000000000004, 3342.2000000000007, 1642.7999999999993, 2400.6000000000004, 2163.7000000000007, 540.5999999999985, 1980.6000000000004, 2916.2999999999993, 357.2999999999993, 1215.9000000000015, 22.900000000001455, 1572.5999999999985, 3361.3999999999996, 2679.2000000000007, 3225.0, 1.5, 326.2999999999993, 2193.6000000000004, 1243.0, 511.2999999999993, 1192.5999999999985, 1146.2000000000007, 2489.8999999999996, 2624.2000000000007, 14.799999999999272, 313.09999999999854, 2182.0, 1789.2999999999993, 745.7000000000007, 710.5999999999985, 3988.2999999999993, 1965.7999999999993, 3525.8999999999996, 3960.6000000000004, 1910.2999999999993, 2892.2000000000007, 184.59999999999854, 1360.7000000000007, 3284.2000000000007, 2153.8999999999996, 3675.7000000000007, 1880.3999999999996, 3668.8999999999996, 3125.0, 1935.2000000000007, 1222.2999999999993, 2734.5, 901.9000000000015, 2448.2000000000007, 3144.0, 24.200000000000728, 3831.3999999999996, 2205.8999999999996, 3013.2000000000007, 2333.5, 2288.2000000000007, 3557.1000000000004, 1216.2999999999993, 3514.5, 3494.2999999999993, 1525.7000000000007, 0.2999999999992724, 1775.0, 25.099999999998545, 801.5999999999985, 366.59999999999854, 371.09999999999854, 43.70000000000073, 3776.2000000000007, 114.90000000000146, 3412.7000000000007, 1461.5999999999985, 3300.2999999999993, 1240.7000000000007, 1123.5, 3838.6000000000004, 640.0, 2422.1000000000004, 1635.3999999999996, 2396.1000000000004, 208.70000000000073, 183.70000000000073, 3014.2000000000007, 288.5, 1181.2000000000007, 835.2000000000007, 2674.7000000000007, 1204.5999999999985, 3587.7000000000007, 2989.7999999999993, 2476.2999999999993, 2030.8999999999996, 164.40000000000146, 193.40000000000146, 3056.8999999999996, 1104.0999999999985, 3089.2999999999993, 3455.5, 3402.1000000000004, 613.5999999999985, 1844.0, 2683.2999999999993, 2269.5, 2163.5, 3230.2000000000007, 13.099999999998545, 2397.7000000000007, 2601.8999999999996, 0.2000000000007276, 1055.9000000000015, 1217.2000000000007, 2296.1000000000004, 527.7999999999993, 2852.1000000000004, 3210.0, 3516.3999999999996, 667.7000000000007, 3629.2000000000007, 3862.7999999999993, 1772.7999999999993, 503.2999999999993, 2745.7999999999993, 3789.7000000000007, 87.70000000000073, 72.70000000000073, 776.0, 2718.5, 3704.7999999999993, 538.7999999999993, 1084.2000000000007, 3086.3999999999996, 1859.7000000000007, 2455.7999999999993, 2541.2000000000007, 2278.2999999999993, 1742.2000000000007, 3372.8999999999996, 1100.2000000000007, 1645.8999999999996, 1911.5, 2237.6000000000004, 2149.7999999999993, 2793.5, 1538.5, 2763.7999999999993, 2880.6000000000004, 2578.7999999999993, 479.7999999999993, 3990.6000000000004, 2667.6000000000004, 2481.0, 2548.7999999999993, 500.5, 12.900000000001455, 2424.7000000000007, 152.90000000000146, 3709.7000000000007, 158.20000000000073, 1847.7000000000007, 909.0, 922.2999999999993, 3673.2000000000007, 3386.3999999999996, 3596.8999999999996, 2861.2999999999993, 2078.6000000000004, 2399.7000000000007, 2073.6000000000004, 538.7000000000007, 3492.8999999999996, 3994.2000000000007, 3240.6000000000004, 2940.7999999999993, 3416.5, 1154.0, 1781.2000000000007, 18.299999999999272, 1860.5, 2550.2999999999993, 805.0999999999985, 1766.6000000000004, 1455.7000000000007, 547.9000000000015, 2722.1000000000004, 1982.7999999999993, 2106.5, 3866.2000000000007, 73.29999999999927, 987.4000000000015, 1035.7000000000007, 3389.7000000000007, 262.09999999999854, 1417.2999999999993, 1994.1000000000004, 488.5, 2349.3999999999996, 2752.6000000000004, 2898.2000000000007, 653.2999999999993, 2852.2000000000007, 1982.2000000000007, 723.0, 3884.2000000000007, 2731.0, 301.7999999999993, 258.7999999999993, 3068.7999999999993, 2509.2000000000007, 125.59999999999854, 513.2000000000007, 3969.2999999999993, 3207.2999999999993, 1959.2000000000007, 1759.1000000000004, 2438.7999999999993, 3449.8999999999996, 765.5999999999985, 3184.1000000000004, 20.200000000000728, 20.599999999998545, 2863.2000000000007, 1756.2000000000007, 3409.7000000000007, 320.09999999999854, 178.70000000000073, 1317.7000000000007, 2609.2999999999993, 1552.7999999999993, 2342.1000000000004, 2406.3999999999996, 2238.6000000000004, 540.5999999999985, 1065.0999999999985, 20.099999999998545, 1029.0999999999985, 1361.7000000000007, 611.9000000000015, 3388.3999999999996, 3853.3999999999996, 2799.5, 3282.8999999999996, 1837.2999999999993, 603.7999999999993, 100.20000000000073, 2563.2000000000007, 1745.7999999999993, 235.70000000000073, 1392.5, 3288.5, 949.4000000000015, 3916.8999999999996, 2529.5, 528.9000000000015, 3131.0, 3651.3999999999996, 631.0, 380.40000000000146, 3881.0, 405.7000000000007, 1049.0999999999985, 487.2000000000007, 3407.1000000000004, 2702.7000000000007, 726.2000000000007, 1990.7000000000007, 104.5, 2734.6000000000004, 320.59999999999854, 137.70000000000073, 1533.9000000000015, 3107.3999999999996, 362.0, 2741.6000000000004, 3105.7000000000007, 2877.2999999999993, 3868.5, 3068.1000000000004, 3591.3999999999996, 2700.2000000000007, 3910.7000000000007, 715.4000000000015, 103.29999999999927, 84.90000000000146, 2667.7000000000007, 2660.3999999999996, 2118.3999999999996, 2957.6000000000004, 3648.5, 2597.2000000000007, 3773.1000000000004, 3562.7999999999993, 1003.5, 747.0, 1784.0, 428.09999999999854, 123.0, 3224.3999999999996, 1603.2999999999993, 2100.3999999999996, 2876.5, 2184.1000000000004, 871.0, 3085.8999999999996, 3699.8999999999996, 2152.6000000000004, 2848.2999999999993, 3268.7000000000007, 389.0, 2048.3999999999996, 3008.6000000000004, 2748.2000000000007, 560.4000000000015, 1479.0999999999985, 3192.8999999999996, 2442.8999999999996, 2101.5, 3020.3999999999996, 317.09999999999854, 2693.0, 2357.3999999999996, 2593.2000000000007, 2734.3999999999996, 3649.7999999999993, 2077.7999999999993, 1711.0, 1403.5999999999985, 1714.7999999999993, 1950.1000000000004, 842.5999999999985, 2854.7000000000007, 841.4000000000015, 2473.1000000000004, 629.0999999999985, 941.5, 2857.0, 3169.2999999999993, 2614.0, 1392.2000000000007, 2759.7000000000007, 1836.0, 1392.0, 3533.1000000000004, 3935.5, 3792.7999999999993, 367.09999999999854, 1101.2999999999993, 2166.6000000000004, 1982.1000000000004, 1739.8999999999996, 804.2999999999993, 3310.2999999999993, 166.5, 1606.2999999999993, 1248.7000000000007, 1092.0999999999985, 396.59999999999854, 2207.8999999999996, 3313.8999999999996, 1935.5, 38.599999999998545, 3238.1000000000004, 2840.6000000000004, 2006.2000000000007, 665.7999999999993, 92.79999999999927, 1609.0, 745.7000000000007, 1363.5, 1222.7000000000007, 250.09999999999854, 169.29999999999927, 2046.1000000000004, 2812.7000000000007, 3457.6000000000004, 1401.5999999999985, 281.59999999999854, 2594.2000000000007, 0.7000000000007276, 158.79999999999927, 766.2000000000007, 515.7000000000007, 1177.7999999999993, 1584.7000000000007, 2958.0, 2387.6000000000004, 1961.1000000000004, 1250.4000000000015, 2118.6000000000004, 1902.7000000000007, 1339.0, 691.5, 2432.5, 528.5999999999985, 1721.8999999999996, 979.7000000000007, 3857.6000000000004, 3163.2000000000007, 68.0, 3889.7000000000007, 2794.7000000000007, 1151.7000000000007, 1704.2999999999993, 2163.5, 29.299999999999272, 2746.3999999999996, 3953.2999999999993, 3581.7999999999993, 3826.5, 12.799999999999272, 1695.7999999999993, 3418.0, 2936.6000000000004, 3938.3999999999996, 1463.5, 525.4000000000015, 3100.5, 2198.5, 68.59999999999854, 1778.6000000000004, 1088.4000000000015, 2089.3999999999996, 2121.5, 2801.1000000000004, 944.0999999999985, 1455.2999999999993, 2740.2000000000007, 3678.5, 1081.5, 3918.1000000000004, 3947.2999999999993, 3561.5, 427.7000000000007, 431.7999999999993, 1187.4000000000015, 1253.2000000000007, 1993.2000000000007, 948.2999999999993, 2298.3999999999996, 1355.2999999999993, 1321.7999999999993, 1955.7000000000007, 2622.6000000000004, 46.70000000000073, 129.0, 3556.2999999999993, 1127.0999999999985, 14.200000000000728, 2760.6000000000004, 1018.0, 2986.8999999999996, 2568.6000000000004, 853.7999999999993, 28.599999999998545, 299.09999999999854, 524.2999999999993, 2761.2000000000007, 1014.0, 3799.2999999999993, 3663.8999999999996, 3515.3999999999996, 457.0, 3558.1000000000004, 3075.1000000000004, 835.4000000000015, 766.7000000000007, 3252.5, 11.799999999999272, 1431.5999999999985, 1535.4000000000015, 1041.2999999999993, 2610.7000000000007, 3908.2999999999993, 2954.1000000000004, 140.5, 334.2999999999993, 2405.6000000000004, 19.400000000001455, 1450.7999999999993, 3664.2000000000007, 2284.6000000000004, 2056.2000000000007, 3465.0, 3502.2000000000007, 0.0, 1755.5, 702.7000000000007, 215.29999999999927, 3622.6000000000004, 1700.7000000000007, 826.7000000000007, 3715.7000000000007, 178.5, 657.9000000000015, 389.2000000000007, 405.7999999999993, 3375.0, 1333.2999999999993, 2142.2000000000007, 1472.5999999999985, 3727.0, 67.90000000000146, 1176.2999999999993, 682.4000000000015, 1954.0, 1960.7999999999993, 3790.2999999999993, 1959.3999999999996, 3495.7999999999993, 203.90000000000146, 312.09999999999854, 426.90000000000146, 3300.1000000000004, 210.90000000000146, 3991.5, 180.59999999999854, 971.7999999999993, 2086.7000000000007, 16.5, 592.2999999999993, 2066.3999999999996, 1353.5, 561.7999999999993, 3597.5, 2413.2999999999993, 3418.7000000000007, 3780.7999999999993, 3153.5, 476.90000000000146, 1698.2000000000007, 3559.7999999999993, 2426.5, 101.90000000000146, 3620.7000000000007, 920.5, 2966.0, 2946.8999999999996, 1696.0, 3716.7999999999993, 1007.0, 583.0, 1764.6000000000004, 778.4000000000015, 2929.2000000000007, 3366.7999999999993, 3997.8999999999996, 933.0999999999985, 1777.2000000000007, 24.700000000000728, 386.59999999999854, 2555.8999999999996, 1059.2000000000007, 3545.3999999999996, 2094.2000000000007, 1049.9000000000015, 1673.8999999999996, 3318.7999999999993, 3897.0, 2713.7999999999993, 15.599999999998545, 1540.5, 1722.2999999999993, 3072.5, 2532.2999999999993, 2475.1000000000004, 0.0, 3329.2000000000007, 2927.1000000000004, 2184.8999999999996, 2056.0, 2534.7999999999993, 1035.9000000000015, 993.2999999999993, 3417.1000000000004, 2780.3999999999996, 2005.3999999999996, 455.7000000000007, 2169.7000000000007, 3076.2000000000007, 1296.5999999999985, 1452.5, 3916.7000000000007, 3671.7000000000007, 862.7000000000007, 655.2000000000007, 1915.5, 1102.7000000000007, 3619.5, 2276.6000000000004, 2626.5, 3399.2999999999993, 627.0999999999985, 3873.3999999999996, 2412.2000000000007, 2552.6000000000004, 3991.7999999999993, 1633.7999999999993, 1564.2000000000007, 454.40000000000146, 1421.0999999999985, 743.5999999999985, 918.5999999999985, 875.2999999999993, 1675.7999999999993, 3054.5, 3334.7999999999993, 834.5, 3255.1000000000004, 3616.2999999999993, 657.2999999999993, 955.5, 1208.0999999999985, 3207.5, 872.4000000000015, 89.59999999999854, 2174.2999999999993, 3865.8999999999996, 3159.6000000000004, 293.7000000000007, 2449.3999999999996, 2629.5, 159.29999999999927, 2020.5, 1895.0, 2694.1000000000004, 3247.0, 1754.7000000000007, 539.5999999999985, 3783.2000000000007, 1850.0, 1109.7000000000007, 208.20000000000073, 1840.6000000000004, 546.4000000000015, 833.2999999999993, 114.5, 1310.7000000000007, 1179.4000000000015, 2013.7999999999993, 1935.6000000000004, 3009.1000000000004, 3480.7000000000007, 0.2000000000007276, 3052.6000000000004, 1257.5, 1651.7999999999993, 3622.2000000000007, 1784.7999999999993, 2638.2999999999993, 3087.6000000000004, 2060.3999999999996, 3032.6000000000004, 3730.7000000000007, 342.59999999999854, 3145.1000000000004, 3538.5, 2537.0, 3504.1000000000004, 1234.9000000000015, 1482.0, 3171.5, 2471.5, 1873.6000000000004, 235.0, 700.7000000000007, 1767.2999999999993, 796.5999999999985, 1530.0, 2327.1000000000004, 74.09999999999854, 248.59999999999854, 3593.7000000000007, 1792.2999999999993, 2314.6000000000004, 2496.8999999999996, 1921.2000000000007, 3765.1000000000004, 3182.5, 1693.1000000000004, 1953.2999999999993, 405.7000000000007, 1581.5, 3681.2000000000007, 29.599999999998545, 3069.0, 2529.2000000000007, 913.0, 266.7000000000007, 2745.7999999999993, 343.40000000000146, 2582.3999999999996, 1051.4000000000015, 3636.2000000000007, 24.900000000001455, 2253.0, 2716.5, 2985.2000000000007, 3444.1000000000004, 1550.9000000000015, 1375.9000000000015, 2856.2000000000007, 2734.5, 2801.3999999999996, 895.0, 2579.2999999999993, 1483.5, 635.2999999999993, 3038.8999999999996, 628.9000000000015, 3565.8999999999996, 1436.4000000000015, 573.0, 13.099999999998545, 3062.2999999999993, 1659.2999999999993, 1249.2999999999993, 339.7999999999993, 1530.7000000000007, 3926.3999999999996, 1353.0, 2232.6000000000004, 39.79999999999927, 198.90000000000146, 971.2000000000007, 3735.6000000000004, 1748.6000000000004, 254.70000000000073, 1307.0, 1773.3999999999996, 3260.5, 2237.7000000000007, 3485.3999999999996, 1499.0999999999985, 216.20000000000073, 868.9000000000015, 580.5999999999985, 701.9000000000015, 3265.2000000000007, 1245.5999999999985, 1288.0, 835.0, 2171.2000000000007, 3024.7000000000007, 3029.7999999999993, 3697.1000000000004, 1358.9000000000015, 3158.5, 2294.8999999999996, 3412.2999999999993, 3754.0, 1759.3999999999996, 3127.6000000000004, 2445.7999999999993, 3651.6000000000004, 2925.2000000000007, 39.0, 3484.2999999999993, 2166.7999999999993, 1643.8999999999996, 1896.7999999999993, 2237.3999999999996, 335.2999999999993, 2017.5, 2211.2000000000007, 515.2000000000007, 2241.6000000000004, 145.79999999999927, 2081.1000000000004, 1781.7000000000007, 1641.1000000000004, 2737.3999999999996, 967.5, 258.59999999999854, 2624.7999999999993, 3426.0, 377.7000000000007, 3276.7000000000007, 1820.3999999999996, 906.0999999999985, 118.90000000000146, 2390.5, 2407.2999999999993, 3295.5, 652.4000000000015, 3944.2000000000007, 374.5, 3483.3999999999996, 1699.2999999999993, 2657.6000000000004, 2290.2000000000007, 3942.8999999999996, 1536.0999999999985, 3187.6000000000004, 1465.9000000000015, 293.2000000000007, 770.5999999999985, 1392.0, 512.2000000000007, 3216.7000000000007, 453.59999999999854, 2104.2999999999993, 1306.2999999999993, 3442.7999999999993, 2803.0, 3445.8999999999996, 2103.3999999999996, 1280.4000000000015, 2768.5, 16.599999999998545, 121.79999999999927, 1714.3999999999996, 3963.1000000000004, 3981.3999999999996, 3116.8999999999996, 3802.1000000000004, 32.20000000000073, 1417.0999999999985, 2367.5, 2017.7000000000007, 709.7000000000007, 2779.2999999999993, 29.099999999998545, 2528.6000000000004, 3708.7999999999993, 3101.2000000000007, 1563.7999999999993, 1361.2999999999993, 3982.8999999999996, 97.59999999999854, 3005.0, 1590.9000000000015, 113.29999999999927, 1769.2000000000007, 681.5, 2933.6000000000004, 3703.0, 3056.1000000000004, 2461.2999999999993, 1550.7000000000007, 3241.8999999999996, 1386.7000000000007, 977.5999999999985, 194.5, 3291.7000000000007, 530.2999999999993, 815.4000000000015, 3423.2999999999993, 1681.7999999999993, 3034.1000000000004, 3311.5, 3590.1000000000004, 3653.6000000000004, 885.4000000000015, 114.29999999999927, 3538.0, 3334.2999999999993, 3230.2999999999993, 1760.7999999999993, 2648.7000000000007, 2841.5, 3034.0, 2924.2000000000007, 767.5, 2151.7000000000007, 77.40000000000146, 3977.8999999999996, 2735.2999999999993, 2563.2000000000007, 1923.3999999999996, 958.0999999999985, 2858.2999999999993, 1801.3999999999996, 1813.6000000000004, 177.79999999999927, 1755.2999999999993, 2836.8999999999996, 1765.2999999999993, 3839.5, 3441.6000000000004, 338.0, 220.79999999999927, 3841.2999999999993, 3475.7999999999993, 3562.7000000000007, 1830.5, 1714.2999999999993, 3703.7000000000007, 1307.5999999999985, 1741.3999999999996, 2091.0, 3089.7000000000007, 3994.7000000000007, 1554.5999999999985, 2021.2999999999993, 3611.5, 179.70000000000073, 295.2000000000007, 489.59999999999854, 3142.3999999999996, 2338.1000000000004, 2805.5, 1103.2999999999993, 1285.0, 64.59999999999854, 2568.6000000000004, 3604.6000000000004, 3022.1000000000004, 547.9000000000015, 530.7000000000007, 414.09999999999854, 1621.3999999999996, 872.5999999999985, 702.7000000000007, 827.9000000000015, 1924.7000000000007, 3921.1000000000004, 169.70000000000073, 418.5, 2347.1000000000004, 3042.7999999999993, 624.0, 2855.5, 65.79999999999927, 3519.7000000000007, 1514.7999999999993, 2729.6000000000004, 3610.1000000000004, 3845.7000000000007, 1520.7000000000007, 1439.0999999999985, 3946.6000000000004, 189.40000000000146, 673.5, 258.2999999999993, 220.59999999999854, 395.2000000000007, 549.5, 1384.2999999999993, 993.0, 3341.3999999999996, 1156.2000000000007, 2536.0, 2325.5, 3687.5, 191.70000000000073, 3637.8999999999996, 1767.2999999999993, 3833.1000000000004, 1956.5, 17.599999999998545, 3158.2000000000007, 829.2999999999993, 1765.2999999999993, 3681.6000000000004, 3308.7000000000007, 3238.2000000000007, 3920.6000000000004, 1686.2000000000007, 1280.2000000000007, 58.5, 621.2999999999993, 2662.8999999999996, 58.20000000000073, 795.0, 946.2000000000007, 1604.0, 1799.1000000000004, 2509.7999999999993, 1405.4000000000015, 3428.5, 836.0999999999985, 2979.2000000000007, 3655.1000000000004, 1442.0999999999985, 870.9000000000015, 2004.2000000000007, 1550.5999999999985, 1589.0999999999985, 0.0, 836.0999999999985, 1079.0, 440.7000000000007, 1412.0999999999985, 2882.5, 1822.7999999999993, 1651.2999999999993, 1991.2000000000007, 1117.0999999999985, 2405.3999999999996, 123.0, 605.7999999999993, 1989.2999999999993, 456.2000000000007, 3178.2000000000007, 2353.3999999999996, 3454.5, 79.09999999999854, 3559.8999999999996, 1839.3999999999996, 2017.7000000000007, 3276.2999999999993, 3352.6000000000004, 3912.2000000000007, 987.9000000000015, 1735.2000000000007, 1235.7999999999993, 3721.0, 750.2000000000007, 3935.1000000000004, 3642.7000000000007, 1031.0999999999985, 133.29999999999927, 433.2999999999993, 3709.5, 3387.7999999999993, 1872.5, 352.7999999999993, 493.40000000000146, 3078.5, 21.5, 3503.7999999999993, 3263.7999999999993, 2194.5, 3118.2999999999993, 3473.7000000000007, 1421.4000000000015, 3591.0, 3837.7999999999993, 2682.7000000000007, 2237.2999999999993, 3356.7000000000007, 3812.5, 2836.1000000000004, 3449.8999999999996, 3468.1000000000004, 357.40000000000146, 3873.2000000000007, 1305.0999999999985, 1774.2999999999993, 19.299999999999272, 1670.8999999999996, 863.7999999999993, 2670.3999999999996, 3415.7000000000007, 1487.5999999999985, 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1334.0999999999985, 2022.1000000000004, 511.5, 14.900000000001455, 2705.1000000000004, 1855.7000000000007, 1069.0, 13.5, 3403.7999999999993, 1864.0, 2541.3999999999996, 2605.3999999999996, 888.2000000000007, 415.7000000000007, 3801.0, 3694.2000000000007, 2382.2999999999993, 1836.0, 2236.1000000000004, 2587.6000000000004, 357.7999999999993, 2147.7000000000007, 2311.7000000000007, 3268.2999999999993, 2491.7000000000007, 3119.0, 2380.1000000000004, 15.400000000001455, 3247.8999999999996, 1204.0, 2223.7000000000007, 1357.5, 3077.1000000000004, 3002.3999999999996, 3553.7000000000007, 1238.7000000000007, 2059.3999999999996, 2289.2999999999993, 3864.2999999999993, 2357.8999999999996, 3692.0, 3074.5, 1231.7999999999993, 1980.6000000000004, 3087.3999999999996, 1034.5, 1217.7000000000007, 1393.2000000000007, 1507.5, 182.90000000000146, 369.90000000000146, 2643.1000000000004, 2874.2999999999993, 642.5, 12.799999999999272, 45.70000000000073, 627.7000000000007, 3129.2000000000007, 170.79999999999927, 2223.2000000000007, 2518.7000000000007, 2712.1000000000004, 1634.6000000000004, 3112.7000000000007, 1607.4000000000015, 1162.0, 3983.1000000000004, 1454.2000000000007, 15.400000000001455, 186.09999999999854, 2012.2000000000007, 3181.7999999999993, 1791.2000000000007, 1038.7000000000007, 2869.7999999999993, 231.0, 2231.3999999999996, 3568.6000000000004, 2110.8999999999996, 3292.5, 1491.5999999999985, 2793.5, 267.2999999999993, 3406.0, 1387.7000000000007, 3624.0, 152.59999999999854, 1534.7000000000007, 15.299999999999272, 3201.0, 1622.6000000000004, 2370.5, 2836.8999999999996, 3627.0, 160.70000000000073, 1695.2000000000007, 3899.2999999999993, 3241.7000000000007, 2649.3999999999996, 2438.1000000000004, 3775.7000000000007, 3966.6000000000004, 13.099999999998545, 68.20000000000073, 1715.7000000000007, 18.799999999999272, 1721.1000000000004, 3693.5, 834.2000000000007, 69.59999999999854, 3869.3999999999996, 0.0, 1268.0, 1731.1000000000004, 2789.8999999999996, 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3631.2999999999993, 2873.5, 2455.1000000000004, 339.7000000000007, 1527.7000000000007, 2420.3999999999996, 3107.7000000000007, 1922.7999999999993, 1003.5, 3738.3999999999996, 3432.5, 2655.7999999999993, 37.20000000000073, 689.5999999999985, 1420.2999999999993, 2590.3999999999996, 1192.4000000000015, 884.0999999999985, 1806.0, 653.7999999999993, 2448.5, 1677.1000000000004, 3179.5, 2411.2000000000007, 735.0, 696.2000000000007, 1858.7000000000007, 905.7999999999993, 1009.2999999999993, 3861.6000000000004, 130.90000000000146, 2220.5, 3106.7000000000007, 3876.2999999999993, 3459.1000000000004, 2387.5, 3707.1000000000004, 964.5999999999985, 2303.7000000000007, 409.2000000000007, 155.40000000000146, 856.7000000000007, 2922.3999999999996, 3849.6000000000004, 51.599999999998545, 487.7999999999993, 1481.4000000000015, 1173.9000000000015, 3449.0, 3197.7000000000007, 1951.1000000000004, 1691.2999999999993, 1428.7000000000007, 1218.9000000000015, 2643.3999999999996, 2432.7999999999993, 2131.7000000000007, 1941.2999999999993, 2488.2999999999993, 2956.0, 3972.1000000000004, 1240.5999999999985, 2236.2000000000007, 3116.7999999999993, 3486.2999999999993, 2684.7000000000007, 3855.2000000000007, 161.90000000000146, 1661.8999999999996, 3429.6000000000004, 28.700000000000728, 3771.6000000000004, 2420.7000000000007, 3421.6000000000004, 3302.7999999999993, 663.7000000000007, 3551.7999999999993, 245.90000000000146, 835.4000000000015, 1232.7000000000007, 1683.5, 1837.2999999999993, 127.0, 2217.8999999999996, 2505.3999999999996, 912.2999999999993, 823.9000000000015, 1089.7999999999993, 3426.7999999999993, 1198.0999999999985, 1308.7000000000007, 914.9000000000015, 1573.7999999999993, 3364.1000000000004, 1017.2999999999993, 749.5999999999985, 2131.5, 800.2000000000007, 1572.7000000000007, 1055.9000000000015, 1373.7000000000007, 733.0, 3073.3999999999996, 1624.1000000000004, 3471.2999999999993, 2663.2999999999993, 256.7999999999993, 33.20000000000073, 18.299999999999272, 3648.2999999999993, 58.29999999999927, 999.0999999999985, 1069.0, 538.5, 451.2000000000007, 897.2000000000007, 736.2000000000007, 3752.8999999999996, 2412.3999999999996, 2160.5, 20.400000000001455, 2801.7999999999993, 1385.7000000000007, 2142.2999999999993, 1146.0, 2184.2000000000007, 2188.8999999999996, 201.40000000000146, 2783.0, 128.09999999999854, 1379.5, 3151.3999999999996, 1117.0, 3990.3999999999996, 1533.4000000000015, 2690.5, 2333.6000000000004, 3545.7000000000007, 1060.0999999999985, 3628.2999999999993, 1231.2000000000007, 3850.2000000000007, 604.0999999999985, 3176.7999999999993, 1143.0, 39.099999999998545, 2235.6000000000004, 3152.6000000000004, 3298.7000000000007, 84.09999999999854, 676.5, 2277.8999999999996, 760.9000000000015, 28.799999999999272, 373.09999999999854, 12.900000000001455, 1255.5999999999985, 2191.7999999999993, 3011.7999999999993, 89.0, 1740.3999999999996, 3105.0, 2787.6000000000004, 2861.2999999999993, 1507.0999999999985, 3954.6000000000004, 2939.6000000000004, 3429.3999999999996, 3869.8999999999996, 3983.2999999999993, 224.09999999999854, 2868.6000000000004, 3705.5, 2765.6000000000004, 2913.3999999999996, 2201.7000000000007, 3762.2000000000007, 2176.8999999999996, 3898.0, 2714.2000000000007, 131.20000000000073, 3405.7999999999993, 2980.2000000000007, 2678.7000000000007, 3805.7999999999993, 1805.0, 2019.2999999999993, 2541.5, 3695.1000000000004, 1788.2000000000007, 368.90000000000146, 3531.1000000000004, 2487.1000000000004, 3229.2999999999993, 679.7999999999993, 833.5999999999985, 1734.2999999999993, 248.20000000000073, 457.7999999999993, 1741.2999999999993, 3773.7000000000007, 1091.7999999999993, 3429.7000000000007, 1215.9000000000015, 2041.5, 1869.3999999999996, 2754.2999999999993, 399.09999999999854, 591.5, 2997.2999999999993, 3143.5, 2685.2000000000007, 0.2000000000007276, 2993.5, 2668.7000000000007, 1190.2999999999993, 3120.7000000000007, 3928.8999999999996, 593.4000000000015, 11.799999999999272, 1576.5, 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1568.5999999999985, 3698.6000000000004, 3306.2000000000007, 1028.0, 3127.1000000000004, 128.79999999999927, 3281.0, 882.2999999999993, 2823.5, 915.7000000000007, 2995.7000000000007, 2244.3999999999996, 2269.2999999999993, 1645.7000000000007, 2135.2999999999993, 87.29999999999927, 545.7000000000007, 833.7999999999993, 2418.0, 1781.5, 2107.7000000000007, 2767.8999999999996, 1176.9000000000015, 777.5999999999985, 3818.2999999999993, 1266.0, 3598.6000000000004, 1706.6000000000004, 542.5, 0.4000000000014552, 3967.6000000000004, 1388.0, 1153.9000000000015, 3042.7999999999993, 719.2999999999993, 3963.8999999999996, 2705.7000000000007, 842.5999999999985, 585.7000000000007, 1715.7999999999993, 339.7000000000007, 3057.8999999999996, 299.2999999999993, 64.20000000000073, 3332.3999999999996, 2136.1000000000004, 2812.8999999999996, 1709.2000000000007, 808.7999999999993, 1322.4000000000015], \"type\": \"histogram\", \"uid\": \"f70bcf27-fa27-11e8-8758-54a050d55942\"}], {\"barmode\": \"overlay\"}, {\"showLink\": true, \"linkText\": \"Export to plot.ly\"})});</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins = 60\n",
    "\n",
    "hist18_plot = go.Histogram(x = 18000 - trap18.E, nbinsx=bins, opacity=0.5, name = \"E = 18 keV\")\n",
    "hist16_plot = go.Histogram(x = 16000 - trap16.E, nbinsx=bins, opacity=0.5, name = \"E = 16 keV\")\n",
    "hist14_plot = go.Histogram(x = 14000 - trap14.E, nbinsx=bins, opacity=0.5, name = \"E = 14 keV\")\n",
    "hist12_plot = go.Histogram(x = 12000 - trap12.E, nbinsx=bins, opacity=0.5, name = \"E = 12 keV\")\n",
    "\n",
    "iplot(go.Figure( data = [hist12_plot, hist14_plot, hist16_plot, hist18_plot], layout= go.Layout(barmode='overlay')))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {},
   "outputs": [],
   "source": [
    "den = False\n",
    "r = None#[300,3900]\n",
    "bins = 40\n",
    "\n",
    "hist18 = np.histogram(a=18000 - trap18.E,range=r,bins=bins,density=den)\n",
    "hist16 = np.histogram(a=16000 - trap16.E,range=r,bins=bins,density=den)\n",
    "hist14 = np.histogram(a=14000 - trap14.E,range=r,bins=bins,density=den)\n",
    "hist12 = np.histogram(a=12000 - trap12.E,range=r,bins=bins,density=den)\n",
    "\n",
    "x = (hist18[1] + np.roll(hist18[1],-1))[:-1]/2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([   0.,  100.,  200.,  300.,  400.,  500.,  600.,  700.,  800.,\n",
       "        900., 1000., 1100., 1200., 1300., 1400., 1500., 1600., 1700.,\n",
       "       1800., 1900., 2000., 2100., 2200., 2300., 2400., 2500., 2600.,\n",
       "       2700., 2800., 2900., 3000., 3100., 3200., 3300., 3400., 3500.,\n",
       "       3600., 3700., 3800., 3900., 4000.])"
      ]
     },
     "execution_count": 148,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hist18[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  50.,  150.,  250.,  350.,  450.,  550.,  650.,  750.,  850.,\n",
       "        950., 1050., 1150., 1250., 1350., 1450., 1550., 1650., 1750.,\n",
       "       1850., 1950., 2050., 2150., 2250., 2350., 2450., 2550., 2650.,\n",
       "       2750., 2850., 2950., 3050., 3150., 3250., 3350., 3450., 3550.,\n",
       "       3650., 3750., 3850., 3950.])"
      ]
     },
     "execution_count": 149,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(x, norm,exp_amp, exp_const):\n",
    "    return norm*( exp_amp * np.exp(-x / exp_const) + 1.0 + 4e-5*x)\n",
    "\n",
    "p_start = [1000, 2.0, 100]\n",
    "\n",
    "hist18_fit, _ = curve_fit(f=f, xdata= x, ydata=hist18[0], sigma=np.sqrt(hist18[0]),p0=p_start)\n",
    "hist16_fit, _ = curve_fit(f=f, xdata= x, ydata=hist16[0], sigma=np.sqrt(hist16[0]),p0=p_start)\n",
    "hist14_fit, _ = curve_fit(f=f, xdata= x, ydata=hist14[0], sigma=np.sqrt(hist14[0]),p0=p_start)\n",
    "hist12_fit, _ = curve_fit(f=f, xdata= x, ydata=hist12[0], sigma=np.sqrt(hist12[0]),p0=p_start)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "hist18_fit\n",
      "[958.2791903    4.99334659  56.85110879]\n",
      "hist16_fit\n",
      "[1115.14533176    4.19228737   61.46792916]\n",
      "hist14_fit\n",
      "[1333.19252298    4.92409339   48.88444575]\n",
      "hist12_fit\n",
      "[1633.62216227    4.73189695   47.9786619 ]\n"
     ]
    }
   ],
   "source": [
    "print(\"hist18_fit\")\n",
    "print(hist18_fit)\n",
    "print(\"hist16_fit\")\n",
    "print(hist16_fit)\n",
    "print(\"hist14_fit\")\n",
    "print(hist14_fit)\n",
    "print(\"hist12_fit\")\n",
    "print(hist12_fit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [
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\"linkText\": \"Export to plot.ly\"})});</script>"
      ],
      "text/vnd.plotly.v1+html": [
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\"linkText\": \"Export to plot.ly\"})});</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plots = [\n",
    "    go.Scatter(x=x,y=hist18[0], name = \"E = 18 keV\"),\n",
    "    go.Scatter(x=x,y=hist16[0], name = \"E = 16 keV\"),\n",
    "    go.Scatter(x=x,y=hist14[0], name = \"E = 14 keV\"),\n",
    "    go.Scatter(x=x,y=hist12[0], name = \"E = 12 keV\"),\n",
    "    \n",
    "    go.Scatter(x=x,y=f(x,*hist18_fit), name = \"E = 18 keV fit\" ),\n",
    "    go.Scatter(x=x,y=f(x,*hist16_fit), name = \"E = 16 keV fit\" ),\n",
    "    go.Scatter(x=x,y=f(x,*hist14_fit), name = \"E = 14 keV fit\" ),\n",
    "    go.Scatter(x=x,y=f(x,*hist12_fit), name = \"E = 12 keV fit\" )\n",
    "]\n",
    "\n",
    "iplot(plots)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "metadata": {},
   "outputs": [
    {
     "data": {
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        {
         "name": "fit",
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         "uid": "14582a6d-fa3b-11e8-b68e-54a050d55942",
         "x": [
          12,
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       "<div id=\"f67f29c3-b6db-40b5-a598-a956b4d54f2d\" style=\"height: 525px; width: 100%;\" class=\"plotly-graph-div\"></div><script type=\"text/javascript\">require([\"plotly\"], function(Plotly) { window.PLOTLYENV=window.PLOTLYENV || {};window.PLOTLYENV.BASE_URL=\"https://plot.ly\";Plotly.newPlot(\"f67f29c3-b6db-40b5-a598-a956b4d54f2d\", [{\"name\": \"trap\", \"x\": [12, 14, 16, 18], \"y\": [7.717669056832135e-05, 6.298358897811854e-05, 5.268245509627406e-05, 4.52716780269093e-05], \"type\": \"scatter\", \"uid\": \"145e6bc6-fa3b-11e8-8a66-54a050d55942\"}, {\"name\": \"fit\", \"x\": [12, 14, 16, 18], \"y\": [7.71266100235273e-05, 6.313383061250027e-05, 5.253221346189225e-05, 4.5321758571703196e-05], \"type\": \"scatter\", \"uid\": \"145e6bc7-fa3b-11e8-95b2-54a050d55942\"}], {}, {\"showLink\": true, \"linkText\": \"Export to plot.ly\"})});</script>"
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       "<div id=\"f67f29c3-b6db-40b5-a598-a956b4d54f2d\" style=\"height: 525px; width: 100%;\" class=\"plotly-graph-div\"></div><script type=\"text/javascript\">require([\"plotly\"], function(Plotly) { window.PLOTLYENV=window.PLOTLYENV || {};window.PLOTLYENV.BASE_URL=\"https://plot.ly\";Plotly.newPlot(\"f67f29c3-b6db-40b5-a598-a956b4d54f2d\", [{\"name\": \"trap\", \"x\": [12, 14, 16, 18], \"y\": [7.717669056832135e-05, 6.298358897811854e-05, 5.268245509627406e-05, 4.52716780269093e-05], \"type\": \"scatter\", \"uid\": \"145e6bc6-fa3b-11e8-8a66-54a050d55942\"}, {\"name\": \"fit\", \"x\": [12, 14, 16, 18], \"y\": [7.71266100235273e-05, 6.313383061250027e-05, 5.253221346189225e-05, 4.5321758571703196e-05], \"type\": \"scatter\", \"uid\": \"145e6bc7-fa3b-11e8-95b2-54a050d55942\"}], {}, {\"showLink\": true, \"linkText\": \"Export to plot.ly\"})});</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "es = np.asarray([12,14,16,18])\n",
    "traps = np.asarray([hist12_fit[0],hist14_fit[0],hist16_fit[0],hist18_fit[0]])/(x[1]-x[0])/211673\n",
    "\n",
    "trap_coefs = np.polynomial.polynomial.polyfit(x = es, y = traps, deg=2)\n",
    "\n",
    "plots =[\n",
    "    go.Scatter(x=es,y=traps, name = \"trap\"),\n",
    "    go.Scatter(x=es,y= np.polynomial.polynomial.polyval(es,trap_coefs), name = \"fit\")\n",
    "]\n",
    "\n",
    "iplot(plots)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 174,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 2.32297694e-04, -1.80176671e-05,  4.23895283e-07])"
      ]
     },
     "execution_count": 174,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trap_coefs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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