t3pa2cls

script for convert .t3pa files to .t3pa_cls

.t3pa file example:

Index $\quad$ Matrix $\quad$ Index $\quad$ ToA $\quad$ ToT $\quad$ FToA $\quad$ Overflow
0 $\quad$ 4574 $\quad$ 832 $\quad$ 29 $\quad$ 6 $\quad$ 0
1 $\quad$ 4831 $\quad$ 832 $\quad$ 35 $\quad$ 7 $\quad$ 0
2 $\quad$ 4575 $\quad$ 832 $\quad$ 100 $\quad$ 8 $\quad$ 0
3 $\quad$ 31031 $\quad$ 1745 $\quad$ 22 $\quad$ 11 $\quad$ 0
.
.
.

.t3pa_cls file example:

% Index $\quad$ Matrix Index $\quad$ [ RowNo, ClmNo ] $\quad$ ToA $\quad$ FToA $\quad$ ( ToA_in_ns ) $\quad$ ToT ( ToT_in_keV ) $\quad$ Overflow
# 1, $\quad$ Nunmasked = 3, $\quad$ Nmasked = 0, $\quad$ Ntot = 3 # Tfirst = 2.0787500000000000e+04 ns, $\quad$ Tlast = 2.0790625000000000e+04 ns, $\quad$ dT = 3.125000 ns, $\quad$ Etot = 64.428148 keV
2 $\quad$ 4575 $\quad$ [ 17, 223 ] $\quad$ 832 $\quad$ 8 $\quad$ ( 2.0787500000000000e+04 ns ) $\quad$ 100 $\quad$ ( 37.867914 keV ) $\quad$ 0
1 $\quad$ 4831 $\quad$ [ 18, 223 ] $\quad$ 832 $\quad$ 7 $\quad$ ( 2.0789062500000000e+04 ns ) $\quad$ 35 $\quad$ ( 14.733453 keV ) $\quad$ 0
0 $\quad$ 4574 $\quad$ [ 17, 222 ] $\quad$ 832 $\quad$ 6 $\quad$ ( 2.0790625000000000e+04 ns ) $\quad$ 29 $\quad$ ( 11.826781 keV ) $\quad$ 0
# 2, $\quad$ Nunmasked = 3, $\quad$ Nmasked = 0, $\quad$ Ntot = 3 # Tfirst = 4.3601562500000000e+04 ns, $\quad$ Tlast = 4.3607812500000000e+04 ns, $\quad$ dT = 6.250000 ns, $\quad$ Etot = 63.577435 keV
5 $\quad$ 30775 $\quad$ [ 120, 55 ] $\quad$ 1745 $\quad$ 15 $\quad$ ( 4.3601562500000000e+04 ns ) $\quad$ 99 $\quad$ ( 37.617059 keV ) $\quad$ 0
4 $\quad$ 30776 $\quad$ [ 120, 56 ] $\quad$ 1745 $\quad$ 13 $\quad$ ( 4.3604687500000000e+04 ns ) $\quad$ 44 $\quad$ ( 14.715446 keV ) $\quad$ 0
3 $\quad$ 31031 $\quad$ [ 121, 55 ] $\quad$ 1745 $\quad$ 11 $\quad$ ( 4.3607812500000000e+04 ns ) $\quad$2 2 $\quad$ ( 11.244929 keV ) $\quad$ 0
.
.
.

import numpy as np
import math
#import pandas as pd
import matplotlib.pyplot as plt

import matplotlib.cm as cm
#from matplotlib.mlab import griddata

from urllib.error import HTTPError # recognise the error stemming from missing data
#import urllib
import urllib.request

t3pa2cls_XII - upravena fce energy(a, b, c, t, ToT, pocet_udalosti, RowNo, ClmNo) - nyni je se pocita i s pripadem "nan" t3pa2cls_XV_pc - zkousim vyzobat vysoke energie (jednotlive interakce) - funkce single_interaction. Dale delam prumernou velikost stopy stopy interakce pro danou energii - funkce size_of_interactions_average. Dale delam spektra 2 casti vyboje podle zadaneho casu - primarne pro double breakdown, tj. funkce energy_spectra_doublebreakdown

#Define an exception which will be raised if the data is missing and stop the notebook execution
class StopExecution(Exception):
    def _render_traceback_(self):
        pass
    
#shot_no = 44395  #test discharge for which the notebook will definitely work
shot_no = 45322
shot = shot_no
identifier='H03-W0051_shot_'+str(shot)+'_450V'
detector = 'H03-W0051'

ds = np.DataSource('/tmp')  # temporary storage for downloaded files
scalars_URL = 'http://golem.fjfi.cvut.cz/shots/{shot_no}/Diagnostics/PlasmaDetection/Results/{name}'

Functions

def get_scalar(shot_no, name):
    return float(ds.open(scalars_URL.format(shot_no=shot_no, name=name)).read())
t_plasma_start = get_scalar(shot_no, 't_plasma_start')
t_plasma_end = get_scalar(shot_no, 't_plasma_end')
is_plasma = get_scalar(shot_no, 'b_plasma')

def get_file(shot, identifier):
    #Pick the discharge to analyse 
    URL = 'http://golem.fjfi.cvut.cz/shots/{shot}/Diagnostics/TimepixDetector/H03/{identifier}.t3pa'
    
    url = URL.format(shot=shot, identifier=identifier)
    try:
        file_name_t3pa=url
        with urllib.request.urlopen(file_name_t3pa) as ft3pa:
            line = ft3pa.readline()
            line = line.decode('utf‐8')
        ft3pa.close
    except HTTPError:
        print('File not found at %s. Aborting notebook execution.' % url)
        raise StopExecution
    
    return file_name_t3pa

def get_file_calib(name_calib):
    #Pick the discharge to analyse 
    URL = 'http://golem.fjfi.cvut.cz/shots/{shot}/Diagnostics/TimepixDetector/calib_matrix_H03/{name_calib}.txt'
    
    url = URL.format(shot=shot, name_calib=name_calib)
    #print(url)
    try:
        file_calib=url
        with urllib.request.urlopen(file_calib) as calib:
            line = calib.readline()
            line = line.decode('utf‐8')
        calib.close
    except HTTPError:
        print('File not found at %s. Aborting notebook execution.' % url)
        raise StopExecution
    
    return file_calib

def load_calib(file_calib):
    with urllib.request.urlopen(file_calib) as fc:
        calib=[] #vytvoreni 1D pole
        for i in range(0,256): #tj. rozsah 0-255
            temp = [] # docasne pole
            for j in range(0,256):
                temp.append(0) #naplneni docasneho pole 0
            calib.append(temp)  #naplneni pole a[] docasnym polem temp
            
        for i in range(0,256): #nacteni calib matice do pole calib
            line = fc.readline()
            line = line.decode('utf‐8')
            word=line.strip().split(' ')
            for j in range(0,256):
                #calib[i][j]=float(word[j]) #i = radek, j = sloupec0
                calib[j][i]=float(word[j]) #j = radek, i = sloupec0 - pouze pro stavajici kalibraci - verze XV
    fc.close       
    return calib

def load_t3pa_file(file_t3pa):
    index=[]
    matrix_index=[]
    ToA=[]
    ToT=[]
    FToA=[]
    overflow=[]
    pocet_udalosti = 0
    with urllib.request.urlopen(file_t3pa) as ft3pa:
        line = ft3pa.readline()
        line = line.decode('utf‐8')
        while True:
            line = ft3pa.readline()
            line = line.decode('utf‐8')
            word=line.strip().split('\t') #v t3pa souboru je oddelovac \t
            if line == '':
                break
            
            index.append(word[0])
            matrix_index.append(word[1])
            ToA.append(float(word[2]))
            ToT.append(float(word[3]))
            FToA.append(float(word[4]))
            overflow.append(float(word[5]))
            pocet_udalosti = pocet_udalosti + 1
    ft3pa.close
    return index,  matrix_index, ToA, ToT, FToA, overflow, pocet_udalosti

def noise(index,  matrix_index, ToA, ToT, FToA, overflow, pocet_udalosti): #tuto fci nemus9m explicitn2 volat - volam ji v fci load_t3pa
    pocet=int(0) #pocet sumicich pixelu
    konst=int(len(index)/1000)+1
    noise_matrix_index=[]
    for i in range(0,konst):      
        pom = [] # pomocne pole
        k=0 #pomocna promenna - udava, kolik je v czklu ve skutecnosti udalosti - aby nebyla chyba 'list index out of range'
        for j in range(0,1001):
            if i*1000+j>=len(index):
                break
            pom.append(matrix_index[i*1000+j])
            k=k+1
        for m in range(0,k):
                count=int(0) #pocet vvyskytu stejneho matrix index behem 1000 udalosti
                index_=int(-1) #budu testovat, jestli pixel na ktery koukam je sumici (abych ho nezapocital 2x)
                
                for p in range(0,pocet):
                    #index=int(p)
                    if pom[m]==noise_matrix_index[p]:
                        index_=p #pixel na ktery jsem uz koukal a byl sumici
                        break
                
                if index_ >=0 and pom[m]==noise_matrix_index[index_]:
                    continue
                                 
                for l in range(0,k):
                    if pom[m]==pom[l]:
                        count=count+1
                ####podminka na sumici pixely
                if count>=50: #kdyz se pixel vyskytne behem tisice udalosti vicekrat nez toto cislo, je sumici 
                    noise_matrix_index.append(pom[m])
                    #noise_matrix_index[pocet]=pom[i]
                    pocet=pocet+1
        pom.clear()           
        
    pocet_udalosti=len(index)
    
    for n in range (0,pocet_udalosti):
        for o in range(0,len(noise_matrix_index)):
            if n >=pocet_udalosti:
                    break
            if(matrix_index[n]==noise_matrix_index[o]):
                del matrix_index[n]
                del index[n]
                del ToA[n]
                del ToT[n]
                del FToA[n]
                del overflow[n]
                pocet_udalosti=pocet_udalosti-1
                continue
    return pocet_udalosti,index,  matrix_index, ToA, ToT, FToA, overflow

def t3pa_data(pocet_udalosti,index,  matrix_index, ToA, ToT, FToA, overflow):
    #rovnou vyhodim sumici pixely
    pocet_udalosti,index,  matrix_index, ToA, ToT, FToA, overflow=noise(index,  matrix_index, ToA, ToT, FToA, overflow, pocet_udalosti)
    RowNo=[]
    ClmNo=[]
    for i in range(0,len(matrix_index)):
        #RowNo.append(int(int(matrix_index[i]))//int(256))
        #ClmNo.append(int(int(matrix_index[i]))%int(256))
        ClmNo.append(int(int(matrix_index[i]))//int(256)) #ver XV - bude pro novou kalibraci - nyn9 to bere 3patnou kalibraci jednotlivych pixelu (cislovani radku a sloupcu stejne jako v pixetu)
        RowNo.append(int(int(matrix_index[i]))%int(256)) ##ver XV - bude super pro novou kalibraci - odpovida radkum a sloupcum v pixetu. Nyni bere spatne kalibrace pixelu (viz fce load_calib)
    return index,  matrix_index, ToA, ToT, FToA, overflow, pocet_udalosti, RowNo, ClmNo

def hit_map(detector,hit_map_fig,RowNo,ClmNo):
    plt.hist2d(RowNo,ClmNo,bins=(256,256),cmap='Blues')
    cb=plt.colorbar()
    cb.set_label('Counts in pixel')
    plt.xlabel('x [pixel]')
    plt.ylabel('y [pixel]')
    plt.title(detector)
    plt.savefig(hit_map_fig, dpi = 1000)
    return

def energy(a, b, c, t, ToT, pocet_udalosti, RowNo, ClmNo):
    E=[] #energy in keV
    #for i in range (0,pocet_udalosti):
    pom=0
    for i in range (0,len(ToT)):
        Sqrt=float(0.0)
        e1=float(0.0)
        e2=float(0.0)
        
        # promenna sqrt je vnitrek odmocniny
        Sqrt =  (((float(b[RowNo[i]][ClmNo[i]])+float(a[RowNo[i]][ClmNo[i]])*float(t[RowNo[i]][ClmNo[i]])-float(ToT[i])))*(((float(b[RowNo[i]][ClmNo[i]])+float(a[RowNo[i]][ClmNo[i]])*float(t[RowNo[i]][ClmNo[i]])-float(ToT[i])))) + (float(4)*float(a[RowNo[i]][ClmNo[i]])*float(c[RowNo[i]][ClmNo[i]]))) #zmena oproti verzi VI
        if float(Sqrt)<float(0):
            E.append(float(0))
            
            
        else:
            '''
            V kalibracni matici a se obcas vyskytne 0 -> ve vypoctu energie
            je tim padem deleni nulou -> energie diverguje. Jak to vyresit?
            zatim polozim energii = 0 (kdyz a=0), pak se uvidi
            
            nakonec udelam limitu vyrazu energie pro a->0 (L'hopital)
            '''
            if a[RowNo[i]][ClmNo[i]]==0:
                e1=((float(t[RowNo[i]][ClmNo[i]]))/float(2)) + ((((float(b[RowNo[i]][ClmNo[i]])+float(a[RowNo[i]][ClmNo[i]])*float(t[RowNo[i]][ClmNo[i]])-float(ToT[i]))*(float(t[RowNo[i]][ClmNo[i]]))) - 2*(float(c[RowNo[i]][ClmNo[i]])))/(float(2)*np.sqrt(float(Sqrt))))
                e2=((float(t[RowNo[i]][ClmNo[i]]))/float(2)) - ((((float(b[RowNo[i]][ClmNo[i]])+float(a[RowNo[i]][ClmNo[i]])*float(t[RowNo[i]][ClmNo[i]])-float(ToT[i]))*(float(t[RowNo[i]][ClmNo[i]]))) - 2*(float(c[RowNo[i]][ClmNo[i]])))/(float(2)*np.sqrt(float(Sqrt))))
                
            
            else:
                e1=((-(float(b[RowNo[i]][ClmNo[i]]) - (float(a[RowNo[i]][ClmNo[i]])*float(t[RowNo[i]][ClmNo[i]]))-float(ToT[i])))+np.sqrt(float(Sqrt)))/(float(2)*float(a[RowNo[i]][ClmNo[i]]))
                e2=((-(float(b[RowNo[i]][ClmNo[i]]) - (float(a[RowNo[i]][ClmNo[i]])*float(t[RowNo[i]][ClmNo[i]]))-float(ToT[i])))-np.sqrt(float(Sqrt)))/(float(2)*float(a[RowNo[i]][ClmNo[i]]))
                
            if a[RowNo[i]][ClmNo[i]]<0:
                e1=-1
                e2=-1
                
            if math.isnan(e1):
                e1=-1 
                
            if math.isnan(e2):
                e2=-1 
                
            if e1<0 and e2<0:
                E.append(float(0))
                
            if e1>=0 and e1>e2:
                E.append(float(e1))
                    
            if e2>=0 and e2>e1:
                E.append(float(e2))
                
            if e1>=0 and e2==e1:
                E.append(float(e1)) 
            
    return E

def Time(ToA, FToA, pocet_udalosti, RowNo, ClmNo):
    T=[] #time in ns
    for i in range (0,pocet_udalosti):
        Time=float(0.0)
        Time=(float(ToA[i])-((float(FToA[i])/float(16))))*float(25)
        T.append(float(Time))
    return T

def Timewalk_parameters_Si():
    #SI - korekce na TimeWalk - parametry
    A = -1.21988
    B = 4.33638
    C = 29.5075
    D = 1
    sigma_A=0.7013
    sigma_B=0.1366
    sigma_C=4.753
    sigma_D=0
    return A, B, C, D, sigma_A, sigma_B, sigma_C, sigma_D

def Timewalk(E,T):
    i=0
    A, B, C, D, sigma_A, sigma_B, sigma_C, sigma_D = Timewalk_parameters_Si()
    while i < len(T):
        timewalk=float(0)
        timewalk = (C / (E[i] - B)) + A 
        if(timewalk<0):
            timewalk=0
        T[i]=T[i]-timewalk
        i=i+1
        
    return E,T

def remove_interactions_with_zero_energy(index, matrix_index, ToA, ToT, FToA, overflow, RowNo, ClmNo, E, T):
    i=0
    treshold=5.015347
    while i < len(T):
        if E[i]<treshold: #E[i] < energy treshold
            index.pop(i)
            matrix_index.pop(i)
            ToA.pop(i)
            ToT.pop(i)
            FToA.pop(i)
            overflow.pop(i)
            RowNo.pop(i)
            ClmNo.pop(i)
            E.pop(i)
            T.pop(i)
            continue
        i=i+1
    return index, matrix_index, ToA, ToT, FToA, overflow, RowNo, ClmNo, E, T

def clustering_new(index, matrix_index, ToA, ToT, FToA, overflow, RowNo, ClmNo, E, T):
    dT=float(50)
    
    indexCl, TCl,ECl, matrix_indexCl, ToACl,ToTCl,FToACl,RowNoCl,ClmNoCl,overflowCl=[],[],[],[],[],[],[],[],[],[]
    StartLastElem=len(T)-1
    
    indexCl.append(int(index[StartLastElem]))
    TCl.append(float(T[StartLastElem]))
    ECl.append(float(E[StartLastElem]))
    matrix_indexCl.append(int(matrix_index[StartLastElem]))
    RowNoCl.append(int(RowNo[StartLastElem]))
    ClmNoCl.append(int(ClmNo[StartLastElem]))
    ToACl.append(float(ToA[StartLastElem]))
    ToTCl.append(float(ToT[StartLastElem]))
    FToACl.append(float(FToA[StartLastElem]))
    overflowCl.append(float(overflow[StartLastElem]))
    
    del index[StartLastElem]
    del T[StartLastElem]
    del E[StartLastElem]
    del matrix_index[StartLastElem]
    del RowNo[StartLastElem]
    del ClmNo[StartLastElem]
    del ToA[StartLastElem]
    del ToT[StartLastElem]
    del FToA[StartLastElem]
    del overflow[StartLastElem]
    
    j=1
    pom=float(TCl[0]+dT)
    while(j >0):
        if(len(T) == 0):
           break
        k=0
        j=0
        while (k<=(len(TCl)-1)):
            i=len(T)-1
            if(len(T) == 0):
                break
            pocet_sousedu=0 #pocet sousednich pixelu - mohou byt maximalne 4
            delka=0
            # verze X
            count=0 #pomocna promanna, kterou urcuji, ze se ma nasledujici cyklus while projit jeste jednou, pokud je i = -1
            while(float(T[i])<=(pom)):
                delka=delka+1
                if(((((int(RowNoCl[k]))==(int(RowNo[i])+1))or((int(RowNoCl[k]))==(int(RowNo[i])-1))) and ((int(ClmNoCl[k]))==(int(ClmNo[i])))) or (((int(RowNoCl[k]))==(int(RowNo[i]))) and (((int(ClmNoCl[k]))==(int(ClmNo[i])+1))or((int(ClmNoCl[k]))==(int(ClmNo[i])-1))))):
                    #beru jen pixely, které mají společnou jednu stranu.
                    #pixely, kter0 spolu sousedí přes roh neuvažuji
                    indexCl.append(int(index[i]))
                    TCl.append(float(T[i]))
                    ECl.append(float(E[i]))
                    matrix_indexCl.append(int(matrix_index[i]))
                    RowNoCl.append(int(RowNo[i]))
                    ClmNoCl.append(int(ClmNo[i]))
                    ToACl.append(float(ToA[i]))
                    ToTCl.append(float(ToT[i]))
                    FToACl.append(float(FToA[i]))
                    overflowCl.append(float(overflow[i]))
                    
                    # Removes i-th Row
                    del index[i]
                    del T[i]
                    del E[i]
                    del matrix_index[i]
                    del RowNo[i]
                    del ClmNo[i]
                    del ToA[i]
                    del ToT[i]
                    del FToA[i]
                    del overflow[i]
                    
                    j=j+1
                    i=len(T)-1
                    pocet_sousedu=pocet_sousedu+1
                    
                    if(len(T) == 0):
                        break
                    
                    if(pocet_sousedu==4):
                        break
                    
                    continue
                
                i=i-1
                if(i==-1): # verze X
                    count=count+1
                    
                if(i<0 and len(T)>0): # verze X
                    i=0
                    if(count>1):
                        break
                    
                if(i>=len(T)):
                    break
            k=k+1
            
        if(len(TCl)>2):
            indexCl, TCl, ECl, matrix_indexCl, RowNoCl, ClmNoCl, ToACl, ToTCl, FToACl, overflowCl = insertionSort(indexCl, TCl, ECl, matrix_indexCl, RowNoCl, ClmNoCl, ToACl, ToTCl, FToACl, overflowCl)
            
    return T, indexCl,TCl, ECl, matrix_indexCl, RowNoCl, ClmNoCl, ToACl, ToTCl, FToACl, overflowCl  

def insertionSort(indexCl, TCl, ECl, matrix_indexCl, RowNoCl, ClmNoCl, ToACl, ToTCl, FToACl, overflowCl):
    # Function to do insertion sort
    # Traverse through 1 to len(arr)
    for i in range(1, len(TCl)):
        key = TCl[i]
        # Move elements of arr[0..i-1], that are
        # greater than key, to one position ahead
        # of their current position
        
        #ostatni
        key1 = indexCl[i]
        key2 = ECl[i]
        key3 = matrix_indexCl[i]
        key4 = RowNoCl[i]
        key5 = ClmNoCl[i]
        key6 = ToACl[i]
        key7 = ToTCl[i]
        key8 = FToACl[i]
        key9 = overflowCl[i]
        
        j = i-1
        while j >= 0 and key < TCl[j] :
                TCl[j + 1] = TCl[j]
                #ostatni
                indexCl[j + 1] = indexCl[j]
                ECl[j + 1] = ECl[j]
                matrix_indexCl[j + 1] = matrix_indexCl[j]
                RowNoCl[j + 1] = RowNoCl[j]
                ClmNoCl[j + 1] = ClmNoCl[j]
                ToACl[j + 1] = ToACl[j]
                ToTCl[j + 1] = ToTCl[j]
                FToACl[j + 1] = FToACl[j]
                overflowCl[j + 1] = overflowCl[j]
                j -= 1
                
        TCl[j + 1] = key
        #ostatni
        indexCl[j + 1] = key1
        ECl[j + 1] = key2
        matrix_indexCl[j + 1] = key3
        RowNoCl[j + 1] =key4
        ClmNoCl[j + 1] = key5
        ToACl[j + 1] = key6
        ToTCl[j + 1] = key7
        FToACl[j + 1] = key8
        overflowCl [j + 1] = key9 
    return indexCl, TCl, ECl, matrix_indexCl, RowNoCl, ClmNoCl, ToACl, ToTCl, FToACl, overflowCl

def file_t3pa_cls_new(file_t3pa_cls,T):
    with open(file_t3pa_cls, "w", encoding="utf-8") as t3pa_cls:
        t3pa_cls.write('%\n')
        t3pa_cls.write('% Index	Matrix Index	[ RowNo, ClmNo ]	ToA	FToA	( ToA_in_ns )	ToT	( ToT_in_keV )	Overflow\n')
        t3pa_cls.write('\n')
        i=1
        T_first=[]
        E_tot=[]
        N_tot=[]
        eventNo=0 #for high_energy_event function
        while(len(T) > 0):
            T, indexCl,TCl, ECl, matrix_indexCl, RowNoCl, ClmNoCl, ToACl, ToTCl, FToACl, overflowCl = clustering_new(index, matrix_index, ToA, ToT, FToA, overflow, RowNo, ClmNo, E, T) 
            Tfirst=float(TCl[0])
            Tlast=float(TCl[len(TCl)-1])
            dT=Tlast-Tfirst
            Etot=float(0)
            for k in range(0,len(TCl)):
                Etot=Etot+float(ECl[k])
            T_first.append(float(Tfirst))
            dT=Tlast-Tfirst
            E_tot.append(float(Etot))
            N_tot.append(len(TCl)) #new in ver. XV
            
            t3pa_cls.write('# '+str(i)+', Nunmasked = '+str(len(TCl))+', Nmasked = 0, Ntot = '+str(len(TCl))+'\n')
            t3pa_cls.write('# Tfirst = '+str(Tfirst)+' ns, Tlast = '+str(Tlast)+' ns, dT = '+str(dT)+' ns, Etot = '+str(Etot)+' keV\n')
            for j in range(0,len(TCl)):
                t3pa_cls.write(str(indexCl[j])+'	'+str(matrix_indexCl[j])+'	[ '+str(RowNoCl[j])+',	'+str(ClmNoCl[j])+' ]	'+str(ToACl[j])+'	'+str(FToACl[j])+'	( '+str(TCl[j])+' ns )	'+str(ToTCl[j])+'	( '+str(ECl[j])+' keV )	'+str(overflowCl[j])+'\n')
            t3pa_cls.write('\n') 
            #eventNo=single_interaction(eventNo,Etot, Tfirst, ECl, TCl, RowNoCl, ClmNoCl,path)
            i=i+1
    t3pa_cls.close
    return T_first, E_tot, N_tot

def energy_spectrum_in_time(Tfirst, Etot): #dela histogram - energie zaznamenana v case 
    pom = 0
    dt=100 #(ns) time width of 1 bin
    
    T_first=0 #cas, kdy prisel trigger a yacalo mereni
    T_last=(max(Tfirst)) #posledni z Tfirst
       
    Delta_T = T_last - T_first
    poc = int(int(Delta_T) / float(dt)) + 1 #pocet casovych oken
    
    T_int_first=[] #cas
    E=[] #energie
    
    for i in range(0,poc):
        T_int_first.append((i*dt) + dt/2)
        E.append(0)
    
    #XII
    for j in range(0,len(Tfirst)):
        time_index=0
        time_index=int(((Tfirst[j]-T_first)/dt))
        if float(Tfirst[j]-T_first) >= (T_int_first[time_index] - dt / 2) and float(Tfirst[j]-T_first) < (T_int_first[time_index] + dt / 2):
            E[time_index]=float(E[time_index])+float(Etot[j])
            pom=pom+1
            
    for l in range(0,len(T_int_first)):
        T_int_first[l]=T_int_first[l]+T_first
        
    caption, T_int_first = energy_in_time_hist(T_int_first, E, figure_E_in_time_hist, t_plasma_start, t_plasma_end, is_plasma, dt)
    return dt, caption, T_int_first, E

def energy_in_time_hist(T_int_first, E,figure_E_in_time_hist, t_plasma_start, t_plasma_end, is_plasma, dt):    
    plt.rcParams.update({'font.size': 20})
    fig, ax = plt.subplots(figsize =(10, 7))
    for k in range(0,len(T_int_first)):
                T_int_first[k] = T_int_first[k] / 1000000
    plt.plot(T_int_first, E, drawstyle='steps-mid')
    plt.title(detector+', #'+str(shot_no))
    plt.xlabel('Time [ms]')
    plt.ylabel('Energy [keV]')
    if is_plasma == 1:
        for t in (t_plasma_start, t_plasma_end):
                plt.axvline(t, color='k', linestyle='--')
                plt.xlim([0, (t_plasma_start + t_plasma_end)])
    else:
        plt.xlim(0,)
        
    plt.ylim(0,) #10 000 keV
    plt.savefig(figure_E_in_time_hist, dpi = 1000)
    caption = '# x = time in ms, count = energy in keV, dT= '+str(dt)+' ns'
    return caption, T_int_first

def hits_in_time_hist_new(T, dt, t_plasma_start, t_plasma_end, is_plasma,figure_count_in_time_hist):
    pom = 0
    
    T_first=0 #cas, kdy prisel trigger a yacalo mereni
    T_last=(max(T)) #posledni z Tfirst
       
    Delta_T = T_last - T_first
    poc = int(int(Delta_T) / float(dt)) + 1 #pocet casovych oken
    
    T_hit=[] #cas
    count=[] #energie
    for i in range(0,poc):
        T_hit.append((i*dt) + dt/2)
        count.append(0)
        
    for j in range(0,len(T)):
        time_index=0
        time_index=int(((T[j]-T_first)/dt))
        k=time_index
        
    for j in range(0,len(T)):
        time_index=0
        time_index=int(((T[j]-T_first)/dt))
        if float(T[j]-T_first) >= (T_hit[time_index] - dt / 2) and float(T[j]-T_first) < (T_hit[time_index] + dt / 2):
                count[time_index] = count[time_index] + 1
                pom=pom+1
      
    for l in range(0,len(T_hit)):
        T_hit[l]=T_hit[l]+T_first
    
    plt.rcParams.update({'font.size': 20})
    fig, ax = plt.subplots(figsize =(10, 7))
    for k in range(0,len(T_hit)):
                T_hit[k] = T_hit[k] / 1000000
    #plt.plot(T_hit, count)
    plt.plot(T_hit, count, drawstyle='steps-mid')
    plt.title(detector+', #'+str(shot_no))
    plt.xlabel('Time [ms]')
    plt.ylabel('Count')
    if is_plasma == 1:
        for t in (t_plasma_start, t_plasma_end):
                plt.axvline(t, color='k', linestyle='--')
                plt.xlim([0, (t_plasma_start + t_plasma_end)])
    else:
        plt.xlim(0,)
        
    plt.ylim(0,) #10 000 keV
    plt.savefig(figure_count_in_time_hist, dpi = 1000)
    caption = '# x = time in ms, dT= '+str(dt)+' ns'
    return caption, T_hit,count

def energy_spectrum(Etot):
    E_min=0
    dE=5 #keV
    E_max=max(Etot)
    pocet=(E_max//dE) + 3
    pocet=int(pocet)
    E_max=float(dE*pocet)
    
    xle=[]
    xre=[]
    xmean=[]
    
    for p in range (0,pocet):
        xle.append(E_min + (p * (E_max - E_min)) / pocet)
        xre.append(xle[p]+dE)
        xmean.append((xle[p] + xre[p]) / 2)
    
    count=[]
    for l in range(0,pocet):
        count.append(0)
    #XII
    for i in range(0,len(Etot)):
        E_index=int(((Etot[i]-E_min)/dE))
        if ((xle[E_index] <= Etot[i]) and (Etot[i] < xre[E_index])):
            count[E_index]=count[E_index]+1
    
    plt.rcParams.update({'font.size': 20})
    fig, ax = plt.subplots(figsize =(10, 7))
    #ax.hist(Etot, bins = xle)
    plt.fill_between(xmean, count,step='mid') #pre mid post
    plt.plot(xmean, count, drawstyle='steps-mid')
    plt.title(detector+', #'+str(shot_no))
    plt.xlabel('Energy [keV]')
    plt.ylabel('Count')
    plt.xlim(0,)
    ax.set_yscale('log') #log scale y
    caption = '# x = energy in keV, dE= '+str(dE)+' keV'
    plt.savefig(figure_E_hist, dpi = 1000)
    return caption, xmean,count, xle, Etot

def hist_file(file_hist, xmean, count, caption ):
    with open(file_hist, "w", encoding="utf-8") as hist:
        hist.write('#\n')
        hist.write('#'+str(caption)+'\n')
        hist.write('# x_mean     count\n')
        hist.write('\n')
        for m in range(0,len(xmean)):
                hist.write(str(xmean[m])+'     '+str(count[m])+'\n')
        
    hist.close
    return T_first, E_tot

def multiplot(icon_fig, x1,y1,x2,y2):
    plt.rcParams.update({'font.size': 20})
    fig, ax = plt.subplots(nrows=2,figsize =(10, 7))
    
    ax[0].plot(x1, y1, drawstyle='steps-mid')
    ax[0].set_xlabel('Time [ms]')
    ax[0].set_ylabel('Energy [keV]')
    if is_plasma == 1:
        for t in (t_plasma_start, t_plasma_end):
                ax[0].axvline(t, color='k', linestyle='--')
                ax[0].set_xlim([0, (t_plasma_start + t_plasma_end)])
    else:
        ax[0].set_xlim(0,)
    ax[0].set_ylim(0,) #keV
    
    #ax[1].hist(y2, bins = x2)
    ax[1].fill_between(x2, y2,step='mid') #pre mid post
    ax[1].plot(x2, y2, drawstyle='steps-mid')
    ax[1].set_xlabel('Energy [keV]')
    ax[1].set_ylabel('Count')
    ax[1].set_xlim(0,)
    #ax[1].set_ylim(0,)
    ax[1].set_yscale('log') #log scale y
    
    fig.subplots_adjust(hspace=0.3)
    
    plt.savefig(icon_fig, dpi = 1000)
    return

def single_interaction(eventNo,Etot, Tfirst, ECl, TCl, RowNoCl, ClmNoCl,path): # ver XV
    #tuto funkci volam ve funkci file_t3pa_cls_new(file_t3pa_cls,T):
    #This function is calling in function file_t3pa_cls_new(file_t3pa_cls,T)
    
    high_E = 1500 #[keV] - zadani, jaka energie je pro me vysoka

    if(Etot>=high_E or len(ECl)>15):
    #if (len(ECl)>15): #len(ECl) = pocet pixelu dane interakce
        print("Total energy of track: "+str(Etot)+" keV\n")
        A, B, C, D, sigma_A, sigma_B, sigma_C, sigma_D = Timewalk_parameters_Si()
        
        ######################
        #SI - rekonstrukce z(t) - parametry
        a=0.0193947
        b=-0.0273934
        sigma_a=0.0004163
        sigma_b=0.009832
        #######################
        
        time=[]
        sigma_time=[]
        time_min = []
        time_max=[]
        z_rec=[]
        z_rec_min=[]
        z_rec_max=[]
        sigma_z_rec=[]
        
        for i in range(0, len(TCl)):
            time.append(TCl[i] - Tfirst)
            #chyba urceni casu = chyba timewalk ->
            sigma_time.append(np.sqrt(((sigma_C / (pow((ECl[i] - B), D)))*(sigma_C / (pow((ECl[i] - B), D)))) + (((sigma_B*C*D) / (pow((ECl[i] - B), (D + 1))))*((sigma_B*C*D) / (pow((ECl[i] - B), (D + 1))))) + (((sigma_D*C*math.log(ECl[i] - B)) / (pow((ECl[i] - B), D)))* ((sigma_D*C*math.log(ECl[i] - B)) / (pow((ECl[i] - B), D)))) + (sigma_A*sigma_A)))
            time_min.append(time[i] - sigma_time[i])
            time_max.append(time[i] + sigma_time[i])

            #//
            #//rekonstrukce hloubky interakce
            z_rec.append(a * time[i] + (b))
            sigma_z_rec.append(np.sqrt(((time[i]*time[i])*(sigma_a*sigma_a)) + (sigma_b*sigma_b) + (a*a)*(sigma_time[i]*sigma_time[i])))
            z_rec_min.append(z_rec[i] - sigma_z_rec[i])
            z_rec_max.append(z_rec[i] + sigma_z_rec[i])
            #//
            
        single_interaction_file=str(path)+'event'+str(eventNo)+'.txt'
        single_interaction_2D_fig=str(path)+'2D_event'+str(eventNo)+'.png'
        single_interaction_3D_fig=str(path)+'3D_event'+str(eventNo)+'.png'
        
        with open(single_interaction_file, "w", encoding="utf-8") as f:
            f.write('#\n')
            f.write('# x_mean   y_mean   z_rec   z_rec_min   z_rec_max   sigma_z_rec\n')
            f.write('#E_tot='+str(Etot)+'\n')
            f.write('\n')
            for m in range(0,len(TCl)):
                    #print(str(RowNoCl[m])+'     '+str(ClmNoCl[m])+'     '+str(z_rec[m])+'     '+str(z_rec_min[m])+'     '+str(z_rec_max[m])+'     '+str(sigma_z_rec[m])+'     '+str(ECl[m])+'\n')
                    f.write(str(RowNoCl[m])+'     '+str(ClmNoCl[m])+'     '+str(z_rec[m])+'     '+str(z_rec_min[m])+'     '+str(z_rec_max[m])+'     '+str(sigma_z_rec[m])+'     '+str(ECl[m])+'\n')

        f.close
        
        ############################### plot
        #binwidth=1
        if ((max(RowNoCl)-min(RowNoCl))>=(max(ClmNoCl)-min(ClmNoCl))):
            rang=max(RowNoCl)-min(RowNoCl)
            #bins=(range((min(RowNoCl)-1), (max(RowNoCl)+3), binwidth), range((min(ClmNoCl)-1), (min(ClmNoCl)+rang+3), binwidth))
            x_min=min(RowNoCl)-1
            x_max=max(RowNoCl)+2
            y_min=min(ClmNoCl)-1
            y_max=min(ClmNoCl)+rang+2
        else:
            rang = max(ClmNoCl)-min(ClmNoCl)
            #bins=(range((min(RowNoCl)-1), (min(RowNoCl)+rang+3), binwidth), range((min(ClmNoCl)-1), (max(ClmNoCl)+3), binwidth))
            x_min=min(RowNoCl)-1
            x_max=min(RowNoCl)+rang+2
            y_min=min(ClmNoCl)-1
            y_max=max(ClmNoCl)+2
            
        ###############$$$$$$$$$$$$$$$$$$$$
        rows, cols = (x_max-x_min, x_max-x_min)
        #arrECl = [[0]*cols]*rows
        arrECl= [[0] * cols for _ in range(rows)]
        for i in range (x_min,x_max):
            for j in range (y_min,y_max):
                for k in range(0,len(RowNoCl)):
                        if ((i==RowNoCl[k]) and (j==ClmNoCl[k])):
                            #print(str(i)+"   "+str(j)+"    "+str(RowNoCl[k])+"    "+str(ClmNoCl[k])+"\n")
                            arrECl[i-x_min][j-y_min]=ECl[k]
        
        arrECl=np.transpose(arrECl)
        arrECl[arrECl == 0] = np.nan
        
        #2D plot
        plt.imshow(arrECl,cmap='jet',  interpolation='none', origin=[(x_min-0.2),(y_min-0.2)], aspect='equal', extent=[x_min-0.2,x_max,y_min-0.2,y_max])
       
        ###############$$$$$$$$$$$$$$$$$$$$
        cb=plt.colorbar(pad=0.005)
        plt.tick_params(axis="x",direction="in")
        plt.tick_params(axis="y",direction="in")
        cb.ax.tick_params(axis='y', direction='in')
        cb.set_label('Energy in pixel [keV]')
        plt.xlabel('x [pixel]')
        plt.ylabel('y [pixel]')
        plt.title('$E_{tot}$ = '+str(round(Etot, 2))+' keV, $N_{tot}$ = '+str(len(ECl)))
        plt.savefig(single_interaction_2D_fig, dpi = 1000)
        plt.show()
        plt.close()
        ############################### plot
        
        
        ############## 3D plot
        # Creating figure
        fig = plt.figure(figsize = (16, 9))
        ax = plt.axes(projection ="3d")

        # Add x, y gridlines 
        ax.grid(b = True, color ='grey', # 
                linestyle ='-.', linewidth = 0.3, 
                alpha = 0.2) 

        # Creating plot
        sctt = ax.scatter3D(RowNoCl, ClmNoCl, z_rec, 
                            alpha = 0.8,
                            c = ECl, 
                            cmap = 'jet', 
                            s = 4000, #size of bubbles in plot
                            marker ='o')
        plt.title('$E_{tot}$ = '+str(round(Etot, 2))+' keV, $N_{tot}$ = '+str(len(ECl)))
        ax.set_xlabel('x [pixel]', fontweight ='bold') 
        ax.set_ylabel('y [pixel]', fontweight ='bold') 
        ax.set_zlabel('z [mm]', fontweight ='bold')
        cb=fig.colorbar(sctt, ax = ax, shrink = 0.5,aspect = 10,pad=0.00005) #
        cb.ax.tick_params(axis='y', direction='in')
        cb.set_label('Energy in pixel [keV]', fontweight ='bold')
        plt.savefig(single_interaction_3D_fig, dpi = 1000)
        # show plot
        plt.show()
        plt.close()
        ############## 3D plot
        
        eventNo=eventNo+1
    return eventNo

def size_of_interactions_average(Etot, Ntot,file_hist):  #ver XV
    E_min=0
    dE=5 #keV
    E_max=max(Etot)
    pocet=(E_max//dE) + 3
    pocet=int(pocet)
    E_max=float(dE*pocet)
    
    xle=[]
    xre=[]
    xmean=[]
    count=[]
    nop=[] #number of pixels
    nop_mean=[] #mean number of pixels in dE
    sigma=[] #root mean square error of the mean - stredni kvadraticka chyba prumeru
    
    for p in range (0,pocet):
        xle.append(E_min + (p * (E_max - E_min)) / pocet)
        xre.append(xle[p]+dE)
        xmean.append((xle[p] + xre[p]) / 2)
        count.append(0)
        nop.append(0) 
        nop_mean.append(0) 
        sigma.append(0)
    
    #XII
    for i in range(0,len(Etot)):
        E_index=int(((Etot[i]-E_min)/dE))
        if ((xle[E_index] <= Etot[i]) and (Etot[i] < xre[E_index])):
            count[E_index]=count[E_index]+1
            nop[E_index]=nop[E_index]+Ntot[i] #ver XV
    
    for l in range(0,pocet):
        if nop[l]!=0:
            nop_mean[l]=float(nop[l])/float(count[l])
    
    #####Computing sigma
    for i in range(0,len(Etot)):
        E_index=int(((Etot[i]-E_min)/dE))
        if ((xle[E_index] <= Etot[i]) and (Etot[i] < xre[E_index])):
            if nop_mean[E_index]!=0:
                sigma[E_index]=sigma[E_index]+((float(Ntot[i])-float(nop_mean[E_index]))*(float(Ntot[i])-float(nop_mean[E_index])))
            
    for l in range(0,pocet):
        if nop[l]!=0 and count[l]>1:
            sigma[l]=np.sqrt(sigma[l]/(float(count[l])*(float(count[l])-1)))
        if nop[l]!=0 and count[l]==1:
            sigma[l]=10
    #####Computing sigma
    
    #####write to file
    with open(file_hist, "w", encoding="utf-8") as hist:
        hist.write('# x_mean [keV]     mean_size_of_interaction [pixel]     sigma_mean_size_of_interaction\n')
        for m in range(0,len(xmean)):
                hist.write(str(xmean[m])+'     '+str(nop_mean[m])+'     '+str(sigma[m])+'\n')
        
    hist.close
    #####write to file
    
    plt.rcParams.update({'font.size': 20})
    fig, ax = plt.subplots(figsize =(10, 7))
    #plt.fill_between(xmean, nop,step='mid',color='blue', alpha=0.3) #pre mid post
    #plt.fill_between(xmean, nop,step='mid') #pre mid post
    plt.plot(xmean, nop_mean, drawstyle='steps-mid')
    plt.errorbar(xmean, nop_mean, yerr = sigma,fmt ='.', linewidth=0.7)
    plt.title(detector+', #'+str(shot_no))
    plt.xlabel('Energy [keV]')
    plt.ylabel('Average size of interaction [pixel]')
    plt.xlim(0,500)
    plt.ylim(0,17)
    #ax.set_yscale('log') #log scale y
    caption = '# x = energy in keV, dE= '+str(dE)+' keV'
    plt.savefig(figure_size_interaction, dpi = 1000)
    return

def energy_spectra_doublebreakdown(Etot, Tfirst, file_hist):
    #this function separates discharge into two parts acording to time Tsep and creates energy spectrum for each part.
    #This is for discharges with double brakdown
    
    Tsep=14636000 # [ns] 
    
    E_min=0
    dE=5 #keV
    E_max=max(Etot)
    pocet=(E_max//dE) + 3
    pocet=int(pocet)
    E_max=float(dE*pocet)
    
    xle=[]
    xre=[]
    xmean=[]
    
    for p in range (0,pocet):
        xle.append(E_min + (p * (E_max - E_min)) / pocet)
        xre.append(xle[p]+dE)
        xmean.append((xle[p] + xre[p]) / 2)
    
    count_first=[]
    count_second=[]
    for l in range(0,pocet):
        count_first.append(0)
        count_second.append(0)
    #XII
    for i in range(0,len(Etot)):
        E_index=int(((Etot[i]-E_min)/dE))
        if ((xle[E_index] <= Etot[i]) and (Etot[i] < xre[E_index])):
            if(Tfirst[i]<Tsep):
                count_first[E_index]=count_first[E_index]+1
            else:
                count_second[E_index]=count_second[E_index]+1
    
    caption = '# x = energy in keV, dE= '+str(dE)+' keV'
    with open(file_hist, "w", encoding="utf-8") as hist:
        hist.write('#\n')
        hist.write('#'+str(caption)+'\n')
        hist.write('# x_mean     count_before_2nd_breakdown     count_2nd_breakdown\n')
        hist.write('\n')
        for m in range(0,len(xmean)):
                hist.write(str(xmean[m])+'     '+str(count_first[m])+'     '+str(count_second[m])+'\n')
        
    hist.close
    
    plt.rcParams.update({'font.size': 20})
    fig, ax = plt.subplots(figsize =(10, 7))
    #plt.fill_between(xmean, count_first,step='mid') #pre mid post
    plt.plot(xmean, count_first, label='Before 2nd breakdown', drawstyle='steps-mid')
    plt.plot(xmean, count_second, label='2nd breakdown', drawstyle='steps-mid')
    plt.legend(loc='best')
    plt.title(detector+', #'+str(shot_no))
    plt.xlabel('Energy [keV]')
    plt.ylabel('Count')
    plt.xlim(0,500)
    ax.set_yscale('log') #log scale y
    plt.savefig(figure_energy_spectra_doublebreakdown, dpi = 1000)
    
    return 

File names

#soubory, ktere ctu
#read files
t3pa=get_file(shot, identifier)
name_calib='caliba'
caliba=get_file_calib(name_calib)
name_calib='calibb'
calibb=get_file_calib(name_calib)
name_calib='calibc'
calibc=get_file_calib(name_calib)
name_calib='calibt'
calibt=get_file_calib(name_calib)

#vytvorene soubory:
#created files
t3pa_cls= 'H03-W0051_shot_'+str(shot)+'_450V.t3pa_cls'
E_hist= 'H03-W0051_shot_'+str(shot)+'_450V_E_hist.txt'
E_in_time_hist= 'H03-W0051_shot_'+str(shot)+'_450V_discharge_energy.txt'
count_in_time_hist= 'H03-W0051_shot_'+str(shot)+'_450V_discharge_hits.txt'
size_interaction= 'H03-W0051_shot_'+str(shot)+'size_interaction.txt'
file_energy_spectra_doublebreakdown= 'H03-W0051_shot_'+str(shot)+'energy_spectra_doublebreakdown.txt'

#created figures
icon_fig='icon-fig'
figure_E_in_time_hist='discharge_energy'
figure_count_in_time_hist='discharge_hits'
figure_E_hist='Energy_spectrum'
hit_map_fig='hit-map'
figure_size_interaction= 'H03-W0051_shot_'+str(shot)+'size_interaction'
figure_energy_spectra_doublebreakdown= 'H03-W0051_shot_'+str(shot)+'energy_spectra_doublebreakdown'

Calling functions

#nactu jednotlive kalibracni matice - abych to nemusel delat v kazde funkci
a=load_calib(caliba)
b=load_calib(calibb)
c=load_calib(calibc)
t=load_calib(calibt)

#nactu a urcim jednotlive hodnoty - abych to nemusel delat v kazde funkci
index,  matrix_index, ToA, ToT, FToA, overflow, pocet_udalosti = load_t3pa_file(t3pa)
index,  matrix_index, ToA, ToT, FToA, overflow, pocet_udalosti, RowNo, ClmNo = t3pa_data(pocet_udalosti,index,  matrix_index, ToA, ToT, FToA, overflow)

Hit map

raw data

#hit map
hit_map(detector,hit_map_fig,RowNo,ClmNo)

Energy and time calculation

Energy and time calculation from raw data.

E=energy(a, b, c, t, ToT, pocet_udalosti, RowNo, ClmNo)
T=Time(ToA, FToA, pocet_udalosti, RowNo, ClmNo)

index, matrix_index, ToA, ToT, FToA, overflow, RowNo, ClmNo, E, T = remove_interactions_with_zero_energy(index, matrix_index, ToA, ToT, FToA, overflow, RowNo, ClmNo, E, T)
E,T=Timewalk(E,T)

#sort by time
T, index, matrix_index, ToA, ToT, FToA, overflow, RowNo, ClmNo, E = (list(t) for t in zip(*sorted(zip(T, index, matrix_index, ToA, ToT, FToA, overflow, RowNo, ClmNo, E), reverse=True))) #serazeni od nejvetsiho po nejmensi

T_pom=T.copy()

#save to file
T_first, E_tot, Ntot = file_t3pa_cls_new(t3pa_cls,T)

Detected energies during the discharge

dt, caption, T_int_first, E = energy_spectrum_in_time(T_first, E_tot)
hist_file(E_in_time_hist, T_int_first, E, caption);

([6.418557029915181,
  70261.38586041154,
  84885.9375,
  183416.11715766828,
  257602.79498638384,
  423808.9600845949,
  426135.63243690215,
  532839.6434992995,
  532917.5820798437,
  568867.5341636096,
  737438.3234783739,
  813110.6105848555,
  851060.6213057807,
  893127.3810361443,
  910757.7694191374,
  931061.3257101481,
  991591.1993586748,
  997433.7307185594,
  1049454.3494200287,
  1106358.7161656702,
  1146160.1251869663,
  1194425.943882569,
  1216871.1678940712,
  1239699.9496262346,
  1335209.2955045223,
  1343463.8824786814,
  1399837.6263333827,
  1458621.1187430331,
  1465224.1379136748,
  1505907.7605237379,
  1512355.3255796316,
  1537392.8266254093,
  1582878.5966419338,
  1629289.1110143578,
  1653025.709651205,
  1681340.5692285001,
  1682809.3691660515,
  1820972.448144754,
  1855627.6452163032,
  1942954.1776342434,
  2094633.764963593,
  2109674.8144330923,
  2121294.4530823217,
  2131751.8368615326,
  2166022.212004223,
  2227206.6184324776,
  2249714.093679102,
  2382134.502723589,
  2401948.3683028426,
  2408661.082861454,
  2420281.3646206744,
  2490548.908192827,
  2569216.065771085,
  2584281.0833060774,
  2667900.0,
  2699515.709644253,
  2717608.8139520404,
  2787348.581707388,
  2941361.91166613,
  2963615.1752033522,
  2998000.521658487,
  3003956.8371418356,
  3024578.7141624214,
  3041410.8354468485,
  3053135.4804660985,
  3057840.2132534254,
  3073545.542787958,
  3175916.7695023627,
  3206256.25,
  3262699.3207031772,
  3284436.008130228,
  3394915.4020076008,
  3445486.1182477004,
  3446187.33068406,
  3558055.427473073,
  3668727.809615889,
  3688504.7092120536,
  3918107.4630939025,
  3944928.292074605,
  3947426.076549797,
  3954135.452069854,
  4102576.0741678067,
  4207358.737622851,
  4233543.84176325,
  4300255.573137771,
  4385736.815326633,
  4406101.647537698,
  4415003.31279698,
  4502307.253001743,
  4546128.213198516,
  4584249.486820666,
  4680857.693675275,
  4710632.907706912,
  4743929.1170778675,
  4763717.288129658,
  4764873.902841219,
  4799310.640451903,
  4825407.8125,
  4959584.610525148,
  4963804.7966241455,
  4963828.65107508,
  4989043.174408218,
  4994083.073523444,
  5001766.359383102,
  5086102.620536018,
  5119336.11587657,
  5172541.997970519,
  5281201.121462145,
  5297263.694257532,
  5390660.831608186,
  5438356.783634296,
  5546907.0789457755,
  5552562.031930719,
  5622629.783983607,
  5735566.555540837,
  5803248.007722567,
  5813536.033404287,
  5865966.60634176,
  5894064.553519207,
  5931132.8125,
  5943316.102267013,
  6065981.596380501,
  6094595.907627196,
  6144680.4754678095,
  6204070.79560283,
  6407729.691407272,
  6412840.348207519,
  6434841.45949563,
  6463284.430965261,
  6464000.999879589,
  6479827.652238497,
  6501919.332968478,
  6639522.578120072,
  6649589.920476234,
  6832031.081725368,
  6881301.52585118,
  6921822.760321054,
  7027073.175818498,
  7108061.856752901,
  7136484.145791895,
  7146863.972929647,
  7193582.407588996,
  7228270.617177786,
  7238981.44780804,
  7299285.858119463,
  7316853.348784296,
  7322885.663624833,
  7339676.061215275,
  7343128.2575444635,
  7360438.6591277,
  7367219.764740159,
  7388917.943456114,
  7493028.63488627,
  7497737.387078389,
  7533126.134594023,
  7547213.59364333,
  7555113.345595878,
  7560590.641889222,
  7620005.224562059,
  7659470.5686957305,
  7659809.671804975,
  7718247.155763746,
  7821410.763048671,
  7830391.357971373,
  7847410.946359444,
  7913252.0105495425,
  7924325.974143884,
  7968988.744951871,
  7979877.220567279,
  8116013.868558037,
  8127414.0625,
  8165264.283061666,
  8168073.906263603,
  8190396.759810695,
  8201606.248259679,
  8224099.423948611,
  8244632.6960855685,
  8253067.852515612,
  8259908.73998268,
  8315498.0053717485,
  8350791.35937222,
  8379699.19373572,
  8480468.72428808,
  8498851.387900667,
  8505103.794279484,
  8509012.8241689,
  8521320.091139523,
  8521356.16594835,
  8522126.345400743,
  8529768.018315459,
  8576177.391039083,
  8578007.479925139,
  8608633.804192785,
  8619419.341035016,
  8654244.448609062,
  8717711.895847369,
  8782300.172397835,
  8782317.132019458,
  8786009.176131517,
  8821691.111777365,
  8859207.284952205,
  8913395.745810136,
  8927726.882156555,
  8978105.632257078,
  8991009.32714777,
  9042333.841901865,
  9053305.169126442,
  9102627.631238008,
  9116303.45887919,
  9127338.006600618,
  9170012.21198297,
  9171589.69291788,
  9214709.28045875,
  9225887.795198102,
  9258260.064313555,
  9282383.355269708,
  9308655.330459917,
  9331053.125,
  9331490.896023864,
  9393695.255350383,
  9399040.350053357,
  9416886.508164894,
  9477547.398698777,
  9538230.736865437,
  9538536.042274551,
  9557025.946109168,
  9592767.030768601,
  9595571.90794816,
  9673046.099341864,
  9684018.898910314,
  9866885.854181087,
  10049164.305986015,
  10107133.193651523,
  10194939.131706275,
  10194945.3125,
  10225164.525106462,
  10461544.895467376,
  10462867.465553641,
  10548174.687786793,
  10577017.296034276,
  10651353.22554708,
  10675667.733075693,
  10681049.233352557,
  10689550.0,
  10758724.107404908,
  10797742.428325774,
  10831438.199800927,
  10913658.506672751,
  10914077.986682253,
  10925345.029476693,
  10947234.247892756,
  10959480.282172969,
  10972313.873716142,
  10974789.888227096,
  11069651.504048545,
  11076035.058867471,
  11136827.645036431,
  11189135.676197197,
  11236126.295018282,
  11278960.558107248,
  11286469.943711743,
  11319969.793778589,
  11362658.043739358,
  11473012.836260818,
  11496112.669591619,
  11608084.695648516,
  11685148.007067751,
  11712991.535878258,
  11736398.733981403,
  11742190.459073476,
  11762691.560922297,
  11789478.735493522,
  11820054.376218455,
  11830270.164730828,
  11868777.565974763,
  11877043.674918827,
  11890673.211856643,
  11894660.746763851,
  11900615.143901749,
  11945663.656912545,
  12007143.267272625,
  12055135.9375,
  12070286.251571758,
  12156370.542658176,
  12226473.2176467,
  12388607.790214881,
  12443766.187517637,
  12506519.148090944,
  12512437.382935127,
  12531582.13315525,
  12847198.71098662,
  12860161.365978668,
  12950198.4375,
  13125341.671556426,
  13192936.38397575,
  13200164.408847995,
  13213619.872202225,
  13230060.323074758,
  13255112.94405806,
  13291001.820787106,
  13320420.374861414,
  13401589.630007433,
  13440492.406288246,
  13455063.770425672,
  13543383.451195018,
  13574207.885010334,
  13614198.850426992,
  13633184.40938798,
  13665675.197189216,
  13713128.135373324,
  13803998.923587622,
  13812167.08928082,
  13839773.414674964,
  13847787.59976893,
  13865888.882617969,
  13890474.994825402,
  13964450.582149178,
  13993363.156056924,
  14015498.298681624,
  14108277.820194531,
  14201980.102646638,
  14205093.230714785,
  14322359.239849888,
  14366581.868176231,
  14367001.785063293,
  14447740.917745167,
  14448005.7093405,
  14487895.767310306,
  14499411.472868681,
  14541395.337643282,
  14563634.904263139,
  14620583.626153925,
  14642385.318896828,
  14648584.705814105,
  14656078.65214173,
  14661098.008898625,
  14734464.647956613,
  14749639.869176542,
  14786431.811275907,
  14809724.818079386,
  14843303.829600686,
  14985797.77050326,
  14991170.559496121,
  14991702.460362673,
  15025108.067543868,
  15053402.08832994,
  15055320.903763553,
  15068094.004899979,
  15083190.82298501,
  15093348.338279292,
  15105388.817553693,
  15151123.307840578,
  15162546.927012553,
  15254468.005440043,
  15360332.243461724,
  15368608.927825112,
  15398134.060507655,
  15472250.213697165,
  15477000.855808899,
  15513892.963896763,
  15539884.322119586,
  15549599.691685773,
  15660111.217818974,
  15675035.837345269,
  15718112.337587453,
  15744602.718378833,
  15747903.022441298,
  15838601.65268993,
  15845865.42773845,
  15878144.38619588,
  15905049.618078407,
  16039305.189400453,
  16192863.571991121,
  16193703.700897655,
  16312137.715821631,
  16328157.8125,
  16395314.0625,
  16403824.730042895,
  16416638.164303714,
  16459786.159314422,
  16507169.932515519,
  16605627.380563937,
  16677575.366905356,
  16729382.898270613,
  16830415.85101534,
  16897611.567244507,
  16902471.532627873,
  17085691.44975192,
  17123967.82283848,
  17143458.58051739,
  17248738.14163858,
  17263421.23752326,
  17298023.405833323,
  17298605.28123183,
  17353739.01932866,
  17382848.073421203,
  17474946.61709059,
  17492407.142657526,
  17520110.13006502,
  17662961.366322473,
  17710381.66406351,
  17910894.73315239,
  18116358.719486978,
  18176323.085935585,
  18286943.045331128,
  18303592.974212606,
  18356240.936637685,
  18397080.732097827,
  18418437.499794323,
  18626959.240298394,
  18655816.112739157,
  18655826.313737966,
  18662408.564438954,
  18837529.968708966,
  19038007.187955596,
  19153172.845421005,
  19292055.204561975,
  19293122.82943564,
  19330155.772061702,
  19380829.170218706,
  19453640.517649587,
  19471879.55503643,
  19502076.958353613,
  19534640.56987128,
  19534700.6189497,
  19536112.970734492,
  19553523.73801672,
  19569785.390606493,
  19573353.58542915,
  19597875.72942162,
  19656078.340688497,
  19657597.20379647,
  19760372.06677061,
  19791356.37498422,
  19808990.44105246,
  19894482.462445956,
  19927760.09396846,
  19929916.219454873,
  20048410.395491328,
  20082997.560633246,
  20106741.45621242,
  20169052.403891984,
  20261624.17223573,
  20272550.470370542,
  20278596.90870545,
  20296459.375198655,
  20320477.92288525,
  20324529.21998578,
  20399193.23856425,
  20408229.87127758,
  20423914.24584747,
  20528852.16826279,
  20639131.13998952,
  20741399.98646136,
  20785260.72463385,
  20788697.570083477,
  20813402.210448913,
  20884176.28214291,
  20957303.160248995,
  21005834.403854985,
  21043916.13858683,
  21050827.0257161,
  21131352.028750837,
  21145364.368509408,
  21222661.778088447,
  21278301.17121575,
  21291677.299538925,
  21310678.957392246,
  21332943.032191657,
  21352241.477136545,
  21379591.682267733,
  21388095.84980279,
  21419163.892733008,
  21511391.50227803,
  21516872.049007084,
  21584134.253878254,
  21669375.37190728,
  21759521.56147797,
  21796773.595696006,
  21846333.584924944,
  21892235.8361974,
  21938137.19724806,
  21957893.995976448,
  22071883.956999913,
  22186271.07718604,
  22219986.43447375,
  22236017.4343691,
  22284991.818500657,
  22363894.552403007,
  22466119.81660796,
  22519591.75148196,
  22619598.94704829,
  22714748.490880612,
  22748516.52346591,
  22793643.63019104,
  22810487.524626102,
  22920476.859215662,
  22933210.443360392,
  22956778.146526214,
  22969354.459345162,
  23019006.03458791,
  23047749.78361113,
  23048200.67600972,
  23119046.700088743,
  23119403.38489236,
  23167141.611870337,
  23203626.798157673,
  23203728.147277296,
  23393445.2989399,
  23394988.008627992,
  23439066.408793602,
  23444160.06326075,
  23457493.254459854,
  23636655.051680107,
  23681871.222973645,
  23726179.478871007,
  23756418.714237545,
  23860004.937850006,
  23891350.932955153,
  23917609.67844896,
  23935478.65205851,
  23985605.632079195,
  24024070.177843615,
  24072808.59109868,
  24086463.33440842,
  24119279.284308195,
  24131060.03724753,
  24133074.25705504,
  24176527.931294475,
  24206252.76307516,
  24320239.01114664,
  24359288.198285718,
  24386090.901931264,
  24386108.31818029,
  24463182.1602585,
  24471547.54832359,
  24483837.712155327,
  24547376.487899978,
  24594774.3108,
  24719788.4854691,
  24800600.939189848,
  24869370.46477914,
  24931086.3151608,
  25046657.355116192,
  25048263.86789148,
  25059481.43269345,
  25191452.18825666,
  25238252.088914305,
  25310905.436021797,
  25363825.701677803,
  25390281.53516617,
  25391096.22428861,
  25452536.96388717,
  25465980.42056463,
  25493879.917770207,
  25505657.95397731,
  25630515.399626337,
  25675902.76528617,
  25693712.865625523,
  25708219.595789243,
  25715464.0625,
  25757672.352711383,
  25807796.776783332,
  25862845.80239462,
  25903240.122097,
  25918929.462848965,
  25943701.995352395,
  26047787.739117727,
  26297009.49263592,
  26343259.031170078,
  26359561.130671516,
  26460327.289173145,
  26504702.70272168,
  26505993.75,
  26531000.734788273,
  26539251.92104454,
  26556644.27061839,
  26611834.27466715,
  26612059.088383764,
  26640061.12573427,
  26652255.909560546,
  26682142.168580096,
  26698450.306352578,
  26725499.682696655,
  26727461.591627166,
  26842022.409185834,
  26881229.967262626,
  26895206.094069142,
  26935707.183402326,
  26940287.02984951,
  26965597.332689855,
  26977942.54233091,
  26989519.055840753,
  27001617.551682234,
  27017612.58767445,
  27045844.39160451,
  27085701.67639084,
  27091732.19321485,
  27113806.98650927,
  27122772.60361041,
  27132540.75683268,
  27137910.117787275,
  27164280.81091691,
  27193956.428542983,
  27200311.539212532,
  27274365.88731863,
  27382288.199222017,
  27511450.21352278,
  27557216.635869034,
  27748437.219590608,
  27759222.972508185,
  27766680.027719025,
  27865589.241060767,
  27875614.590974525,
  27907202.827504776,
  27917601.441007063,
  27929881.844679754,
  27979833.22250541,
  28078760.87741801,
  28188669.144430377,
  28237542.01434642,
  28237591.737699453,
  28381193.1257108,
  28404252.542542767,
  28488412.09111305,
  28531058.87562322,
  28538449.786531482,
  28676049.955059435,
  28685798.888447773,
  28727211.828704514,
  28819454.955088925,
  28852549.951430917,
  28896001.778731305,
  28942062.049774297,
  28947742.53051597,
  28948230.04281677,
  29027969.513080616,
  29065154.547169585,
  29088805.95565151,
  29123530.91369728,
  29152680.456534453,
  29163313.27896438,
  29195450.321058795,
  29242330.5666154,
  29257191.455150213,
  29269258.651898112,
  29426703.69690788,
  29473723.65173809,
  29532664.24823644,
  29534432.92396697,
  29534468.261093717,
  29584128.968009062,
  29598343.837555528,
  29647131.43085307,
  29713320.88662282,
  29759984.671364266,
  29763968.409978144,
  29771884.759346627,
  29807584.747706983,
  29874752.340030435,
  29888513.524649628,
  29902093.11093742,
  29924191.457534753,
  29930428.911032557,
  29940173.066069257,
  29995153.263000257,
  30067388.606577564,
  30126490.94885128,
  30166566.096598558,
  30182097.140797116,
  30212619.744877703,
  30218352.350932658,
  30407234.53591075,
  30407297.550524812,
  30434928.586102344,
  30450149.71523925,
  30457823.391624458,
  30459955.88532759,
  30472463.110639274,
  30515829.36299121,
  30541911.694249004,
  30571720.389231272,
  30624539.0625,
  30667518.5213724,
  30715199.363376264,
  30764091.135919854,
  30780625.749908146,
  30805718.75,
  30863355.8503197,
  30886118.382735122,
  30888914.754080854,
  30890605.73967317,
  30923316.97946889,
  30923324.189988453,
  30944677.779497698,
  30971377.872619174,
  30993128.26642975,
  31000686.750054263,
  31213820.214023914,
  31232893.386579417,
  31259945.67564157,
  31272512.914979603,
  31354454.271036483,
  31482881.620346487,
  31528320.178712018,
  31580254.62690206,
  31580287.374037042,
  31600886.777058933,
  31609232.509042565,
  31636775.808586035,
  31693933.262490503,
  31718763.830431223,
  31830856.040880762,
  31901813.53038646,
  31954877.21340593,
  31958548.23022401,
  32018831.71959862,
  32029112.396110993,
  32048173.650108963,
  32063882.227947865,
  32093111.55872497,
  32133544.636396483,
  32142739.32095187,
  32219655.76669686,
  32285856.774708305,
  32297487.361446653,
  32332940.534609728,
  32334058.473626107,
  32352863.329403717,
  32368270.043001615,
  32380313.441467084,
  32628347.689477593,
  32672568.69498259,
  32714246.417822786,
  32827315.02249091,
  32841196.312657405,
  32862243.227141503,
  32880256.25,
  32944415.869996637,
  33029246.45656156,
  33045687.81425546,
  33060581.448198196,
  33102434.780176256,
  33191313.057492744,
  33207268.07406849,
  33213743.135369807,
  33248761.62531962,
  33366217.723769873,
  33425017.894480415,
  33427468.24117314,
  33433377.955982268,
  33626574.891052864,
  33649715.55072529,
  33650243.913889594,
  33694535.70110297,
  33713464.71543558,
  33755455.42669899,
  33872678.64322051,
  33938189.94552547,
  33960822.16885343,
  33990563.629089355,
  33990567.92214805,
  34012935.554536164,
  34020091.94221111,
  34030564.873058945,
  34119072.590017065,
  34125460.04941125,
  34150647.41835611,
  34244067.44361916,
  34245116.75288299,
  34245320.86814754,
  34281459.2202726,
  34326559.26697927,
  34326628.57547273,
  34340944.16786545,
  34402034.81326883,
  34410737.015317835,
  34525235.31960901,
  34722944.32657938,
  34869868.88638999,
  34887350.1156256,
  34920653.63762391,
  34989304.82426721,
  34991915.74360471,
  35041111.12082712,
  35212616.19065872,
  35443048.7282996,
  35459707.48887161,
  35460057.510501035,
  35509311.03366362,
  35567124.05581433,
  35585812.33711034,
  35594091.653975815,
  35601972.05107238,
  35633237.835563116,
  35687625.47883116,
  35706739.29630743,
  35707785.36409454,
  35709728.765544154,
  35730628.64435554,
  35752968.944112085,
  35823197.15594893,
  35860161.72275501,
  35904376.7812448,
  35905085.06236703,
  35925019.84883279,
  36010540.955028884,
  36024558.02138799,
  36040252.630782284,
  36040298.165088676,
  36217395.9559383,
  36231421.52784989,
  36255898.446440555,
  36409112.92285446,
  36441876.298963204,
  36545152.755976655,
  36758981.62816305,
  36788545.23212028,
  36838948.3232355,
  36842211.33153691,
  36873746.76601994,
  36900092.39973786,
  36912366.07588045,
  36930945.56218344,
  36953680.873806454,
  36965676.30217603,
  37081392.921667375,
  37201860.6013051,
  37235412.5,
  37235422.81185165,
  37239928.81830495,
  37250560.59712637,
  37354589.76294858,
  37424656.004621245,
  37432639.468099095,
  37555166.91618258,
  37565468.20492484,
  37627955.24093704,
  37629113.42870129,
  37631405.72987784,
  37658516.587344795,
  37886241.600412264,
  37963380.24297171,
  38056980.46715201,
  38070899.1331245,
  38161896.46125049,
  38178992.63046703,
  38250308.04918781,
  38370000.73091035,
  38393415.30039864,
  38433336.57998272,
  38503174.833481394,
  38542174.90379019,
  38613080.68824377,
  38613982.346581146,
  38755831.37174548,
  38827316.96256907,
  38892016.12979973,
  39083271.42721773,
  39107652.321064964,
  39113312.96179016,
  39156434.260646954,
  39170242.81021816,
  39181931.70639197,
  39186203.18271625,
  39267931.91195977,
  39302252.38008524,
  39326586.01139452,
  39345160.505613856,
  39364592.04187467,
  39368976.873972364,
  39443559.22872338,
  39528074.870347925,
  39592829.802453876,
  39696934.69360864,
  39763314.787919655,
  39807562.718123995,
  39859312.01314399,
  39897168.17057158,
  39939409.72230715,
  40108210.887063526,
  40123842.28935922,
  40128889.69002098,
  40159404.92740761,
  40230180.91765628,
  40261007.72158357,
  40311250.45008274,
  40311635.015078604,
  40415854.6875,
  40432416.368775435,
  40454788.706165195,
  40473449.03239729,
  40544213.04750079,
  40589071.39840343,
  40594529.171984114,
  40776951.781244166,
  40827934.92801622,
  40855863.447011165,
  40884720.27716677,
  40965409.40081015,
  41060871.73954589,
  41096811.642712265,
  41112976.74400552,
  41115239.97752589,
  41119199.058563925,
  41150397.108431734,
  41242416.525389664,
  41259337.3446274,
  41311890.57524393,
  41345719.91917944,
  41348068.485282935,
  41383071.32859358,
  41407222.11675731,
  41442426.196169116,
  41491354.86681571,
  41586050.63037702,
  41674266.262156285,
  41685782.29509579,
  41715561.50373089,
  41795241.87888677,
  41834836.8264854,
  41868442.00096406,
  41881308.65268373,
  41887023.520843126,
  41897642.65472279,
  42030705.64618763,
  42052093.77787295,
  42099520.87258036,
  42152005.19659522,
  42176523.29761388,
  42200197.254003614,
  42229646.00390581,
  42298024.17820782,
  42298285.458339415,
  42446144.88447064,
  42492964.19927272,
  42570175.75619177,
  42613216.66590496,
  42671478.93744008,
  42771424.84655745,
  42781186.01102502,
  42811222.71568657,
  42816662.814063966,
  42862930.59848328,
  42903581.16701811,
  42917881.995767884,
  42935637.25067355,
  42936976.93525175,
  43034589.20351872,
  43121802.14801974,
  43245728.94831704,
  43280454.76552352,
  43328312.81107225,
  43414289.25088767,
  43496823.4375,
  43516967.28145482,
  43545607.58738491,
  43553017.17064559,
  43690609.64445191,
  43696745.376161605,
  43834165.82334505,
  43835230.950196534,
  43850900.149860665,
  43890095.64605048,
  43899884.581540905,
  43928261.12522656,
  44001736.77261055,
  44023514.78971655,
  44175520.97897391,
  44275188.80375928,
  44303230.96821625,
  44353153.41308404,
  44372873.65862588,
  44373792.20087674,
  44374929.80914848,
  44464214.583471596,
  44506812.70197797,
  44656813.49008176,
  44720540.9644882,
  44729664.22424304,
  44804138.495154575,
  44822270.33875667,
  44875885.96355426,
  44877326.69214854,
  44929306.56540876,
  44953208.85913974,
  44954015.53077158,
  44994631.89987091,
  44997925.930317916,
  45085604.509122476,
  45223465.613583714,
  45228298.584866345,
  45377831.99252778,
  45462003.26317654,
  45472262.40016604,
  45479598.55638643,
  45539484.18275755,
  45575594.62144824,
  45578375.83808448,
  45631338.782671496,
  ...],
 [15.625400081969238,
  15.521282612265743,
  60.86114308353108,
  12.95819660593517,
  13.817025329300105,
  20.251387594909357,
  22.470241778901844,
  17.740467713594605,
  5.076142531008767,
  16.450885660861054,
  18.38086416830192,
  23.412920358201443,
  21.78625240578642,
  10.134848343129647,
  16.84090311526964,
  16.66111125343458,
  17.700154915871302,
  12.947531265120555,
  13.792517964209022,
  20.042599691438696,
  26.531558451722283,
  25.356044774386387,
  26.96355387023538,
  20.32393258506874,
  17.88849343729982,
  14.297049344575457,
  14.220847206504867,
  19.26829033555858,
  18.509279745337555,
  11.047424946836237,
  9.936269536852468,
  9.937381145926024,
  17.591251170464016,
  15.129704859561695,
  18.572444105624196,
  14.73311181651916,
  14.91931966834835,
  12.159702178009907,
  13.381756855050929,
  7.4286814092095526,
  25.835850593382133,
  14.278437899430397,
  20.896226872154713,
  16.101644244694498,
  11.858479173477877,
  16.560133716841218,
  17.092381909605123,
  15.451754433015862,
  14.68416242763107,
  18.974496018192685,
  11.31172068936697,
  17.10086662416802,
  16.937758399909946,
  14.342063403118603,
  61.16612739801424,
  15.27425634053769,
  13.161902893853156,
  13.453148586264078,
  19.751854481550758,
  13.465676822906893,
  17.388628952282588,
  28.136993530185997,
  17.790357521840658,
  14.566292932590956,
  19.285351439831587,
  14.708387463285465,
  15.898462995423763,
  16.233313506328642,
  29.33238139935813,
  13.084517471029464,
  15.21773059741272,
  18.777939729835726,
  15.678297920935918,
  28.671811461639493,
  14.239136676967718,
  15.867571090133163,
  15.67761133629839,
  23.13951605176799,
  11.399298735870156,
  13.36469053313154,
  19.73643970164025,
  17.908792640304767,
  18.332201037979686,
  14.909265768068138,
  10.72105908478586,
  20.97447394287884,
  17.32309458770946,
  5.82800754851369,
  13.165995484025295,
  17.756084045823812,
  13.290095291003945,
  16.65790072202417,
  23.71941571784213,
  20.81823491261195,
  15.339454948239124,
  11.9423098954258,
  13.91851638146011,
  59.59642486110475,
  23.615134488485637,
  11.302669137099109,
  17.41417801262494,
  12.87997245671887,
  16.039405471929975,
  18.744360804496935,
  10.421223664006307,
  11.418457454482946,
  22.649675942396833,
  13.490483291933304,
  14.883169659963205,
  9.24344239674897,
  17.458139362001592,
  6.941108898534062,
  13.41435582461195,
  15.322470182953172,
  12.978608728867785,
  17.99646167439183,
  16.797593224093937,
  22.766626607861042,
  17.214098814648715,
  42.47247081348203,
  17.137270960907518,
  16.44947772932613,
  17.827047352459314,
  12.632199074540049,
  17.169761022598944,
  14.956423054193001,
  21.667741362844765,
  19.484866459167506,
  24.099168846415616,
  61.283207561861296,
  25.720087569936094,
  21.874556076610748,
  12.438918494627954,
  13.871158206732783,
  25.59301763723204,
  11.070901490929153,
  12.86564643483647,
  62.19824904073326,
  12.900581716776582,
  20.8118057571023,
  18.68343801871196,
  120.20640205500403,
  14.071177883136563,
  19.27042389025145,
  7.100740106915321,
  15.635776648560359,
  10.72500614182724,
  6.667392049059146,
  21.48803524915418,
  12.85031695195118,
  13.197119010084194,
  18.897746063733393,
  17.321014289774293,
  7.092081036475082,
  20.896283479300184,
  13.412157310044378,
  22.494101197099646,
  22.60449137414949,
  12.085568762393196,
  16.01704018012291,
  21.619320758990927,
  18.681742728906936,
  27.052040782494082,
  18.73443591116034,
  14.97538533898754,
  16.977049580206852,
  13.090402559937235,
  17.935122330436435,
  18.226754852636606,
  16.75507341942945,
  60.80291004917804,
  15.8545659739796,
  11.94902548825665,
  15.048695699789803,
  24.03332304329515,
  13.122475824725196,
  61.96735545605493,
  12.443961156513524,
  12.97087497948691,
  13.515855581977242,
  18.779480392936975,
  19.361008056134445,
  14.844404965788343,
  9.188007798265705,
  18.300457796612974,
  11.67525595138734,
  14.159965039375104,
  10.99882194656285,
  14.818336368147929,
  12.733351554265777,
  12.727915603370288,
  13.809229949371348,
  20.005975726618402,
  17.80185450306469,
  22.355952530254537,
  15.799303218054593,
  15.64201281156295,
  20.604147136693747,
  25.134640118393484,
  17.190303219223416,
  47.28903583803573,
  11.88002642111247,
  16.318033911852584,
  6.968012241936015,
  14.762202906677597,
  21.169162683205272,
  11.974372058364235,
  16.636755941845202,
  11.693022741052165,
  17.302267744968855,
  23.73642541048077,
  18.04828492815462,
  14.593004161967139,
  16.20020870394224,
  12.408316443313579,
  17.511663264674834,
  18.128668968179667,
  60.17048203958947,
  23.96490136689931,
  8.25658511419773,
  13.98778576770613,
  17.67783610421461,
  12.0584686094246,
  8.932195446158454,
  21.130510311320037,
  12.985542490985926,
  10.891254995109879,
  15.068597315142105,
  12.629573853621068,
  12.817010367270964,
  10.999924384902105,
  15.958566741108353,
  16.624881613141895,
  17.569491075886965,
  58.67116815028094,
  17.056371636514793,
  13.559166639832473,
  15.663709164827399,
  23.59597848814039,
  15.37198303897983,
  15.339116147620356,
  54.51220409253111,
  19.19018939008411,
  56.37508977032847,
  18.304592031947795,
  9.543689208767011,
  15.586276290599521,
  9.9965232835678,
  19.95930556611989,
  23.9700449682314,
  58.423784054146736,
  31.208637457024963,
  10.84491281588996,
  19.416980115959678,
  14.723303854129803,
  8.684662570118384,
  21.69533027343483,
  14.031049880047197,
  14.01140881266859,
  17.581437048676914,
  53.89747482229015,
  21.30835518582496,
  16.695801860958348,
  16.399365405284275,
  15.629870208113894,
  16.322861949625892,
  24.696271114919128,
  17.96842631552412,
  16.206333195392173,
  14.344667726191476,
  13.232779446144647,
  17.26784974352722,
  13.874430486997525,
  14.406686417648677,
  13.167245433044359,
  21.105461633993492,
  15.942901155119493,
  18.76337986445489,
  29.40061907380559,
  13.592277499116495,
  21.667151861781615,
  53.46489880048042,
  16.290924208123137,
  9.533904584977385,
  10.800613080528699,
  17.644118777767957,
  16.448105755148784,
  11.81271065267751,
  26.407222698726024,
  12.860310160394626,
  16.0975414117108,
  15.366647276681697,
  58.368393316159555,
  21.33551542755858,
  16.968533049598474,
  20.512933838330305,
  7.010328766644452,
  20.422852046249005,
  16.95547213499956,
  11.55694264711855,
  15.184651457915209,
  7.822256457518399,
  15.846598019324704,
  13.934018100909613,
  12.298071106143835,
  11.242968685090688,
  16.776235148251786,
  18.490509697555318,
  16.787587251332432,
  14.981195634066879,
  17.186442253915693,
  14.57990856835434,
  5.7053068995269385,
  15.335924557799922,
  22.5357252688489,
  14.92182289183951,
  17.747472922344922,
  12.335543796697985,
  20.225712459461448,
  19.315405093033036,
  9.70896671532443,
  68.02728829522218,
  15.917200930009983,
  12.2542349817453,
  15.863572518668219,
  6.3049069408079745,
  13.216051759265696,
  7.776456974626184,
  19.430252971040098,
  11.167236121017618,
  20.532524048035945,
  19.324498653305138,
  8.857920926776403,
  16.372564735863048,
  17.420363360819923,
  13.52593812890341,
  17.767663120953745,
  12.676064351116423,
  17.621439489341654,
  14.290667314959382,
  11.637648286884392,
  10.223895103990406,
  11.537047680570366,
  12.896679295867688,
  16.01171658171561,
  9.819465666723731,
  13.911926055918936,
  19.729032440142934,
  11.451944795309876,
  14.576348335663884,
  10.765272517413786,
  14.469312879123914,
  20.387388871157444,
  19.357200512847605,
  20.830984806895565,
  13.473088007550032,
  13.86454154951159,
  15.823784983083721,
  19.163545425047168,
  12.605299323278443,
  13.198500189090428,
  20.293762548165972,
  16.129657497441276,
  17.277017424799645,
  10.882993003451979,
  22.47808232410465,
  14.564500262769684,
  19.28257283195719,
  25.158223806290437,
  20.500168279822482,
  16.848412273223225,
  14.699291828682558,
  21.588304611643498,
  17.709475900763962,
  9.520812468311192,
  48.96359595160427,
  59.178350824000155,
  8.148798737028004,
  18.26765348623769,
  15.860201241928092,
  22.780129672617793,
  12.702991547981402,
  28.66939962165186,
  7.634556853717999,
  11.500368730323125,
  18.043995667092332,
  13.779529023310655,
  19.40946783560073,
  18.079709953998538,
  18.984934266670834,
  18.527675646916624,
  10.725707832010208,
  11.078567887590452,
  12.202638189751099,
  16.503882379426877,
  22.96533678191226,
  14.041870504778684,
  12.883772359972225,
  19.926257566915016,
  16.034396579366984,
  25.821456654229458,
  21.531089840516962,
  20.070415284837434,
  63.43182737762328,
  19.668544554405443,
  15.55829147635183,
  11.652454185762059,
  8.928785315354142,
  19.470048771192474,
  14.451798079974436,
  25.450481239670435,
  10.759932331104308,
  18.868936880180232,
  16.133853907608337,
  8.85380827547451,
  19.865021452552035,
  15.0706863285037,
  13.039516475201367,
  15.875933184381068,
  13.278964517150461,
  7.564866910628467,
  14.459564756826996,
  14.175716319867512,
  11.042616711860072,
  9.916012957707212,
  20.620553784686713,
  17.0443306966843,
  14.115158219579662,
  16.617111062488682,
  12.497862416982523,
  11.48245204923746,
  16.362667119130382,
  15.72655718862725,
  17.850939978627405,
  14.283865432028932,
  16.888086277416036,
  18.63672648938104,
  17.822901845348813,
  13.21244802545714,
  12.400198040257353,
  19.043757675552946,
  12.75870080373338,
  18.74684202235306,
  17.099087299987886,
  18.186480573411558,
  17.403597253836786,
  25.949164635808486,
  13.415906281785256,
  13.294834940136909,
  15.691522196675262,
  15.689643057654687,
  9.902134531283505,
  12.971373111650779,
  14.890156342637038,
  24.645328656851174,
  12.421077269892423,
  18.16090691906731,
  24.004937860474357,
  13.791994498384883,
  18.897750028922474,
  17.342193134859038,
  17.059715340426134,
  17.076386249697286,
  16.25200365106913,
  17.885830067790025,
  9.021103433075789,
  7.329682465921845,
  59.885533874757286,
  19.564577086900464,
  12.78460998905703,
  16.96897542125634,
  20.80653962447537,
  14.331647877635703,
  19.82505223859787,
  15.648987884809603,
  8.223548121158442,
  17.27677496310433,
  13.867527858970924,
  20.96971263142923,
  10.082778882116994,
  21.581697580637307,
  13.90080077022048,
  15.969978272508776,
  15.06858896904554,
  18.96074849766773,
  20.61072266143993,
  15.974073999771996,
  20.041069168385782,
  18.32366338386191,
  20.246798064285723,
  13.765099221624283,
  19.257716037106952,
  15.14895112533583,
  19.999249190535025,
  21.015687504586815,
  15.036210761531947,
  11.62548625566729,
  15.970445852007114,
  11.161521190420052,
  13.289205684606857,
  49.805280827062276,
  14.176251384950683,
  19.01098276271106,
  10.864889466315026,
  17.816796713426463,
  16.000596664795292,
  11.517179106882367,
  5.399326355639911,
  16.541143695146033,
  17.313828672908983,
  17.058748249039677,
  5.866723464133697,
  13.33827714907416,
  13.804349710729348,
  12.928112296194348,
  24.992532745799537,
  14.806929466413145,
  20.916069548023792,
  8.850352655113944,
  16.93015618732187,
  17.41988056349271,
  13.01428872139166,
  14.451954890560934,
  19.062288332461353,
  20.584684415339055,
  22.51641363915022,
  20.71934405576905,
  18.355867865361773,
  13.19077513482295,
  13.720807243057699,
  8.259606230078225,
  12.428176817945088,
  7.196202311164499,
  5.216499434753085,
  12.927574111063796,
  19.224975564902117,
  15.816893864156786,
  14.664593634209195,
  19.79277785246079,
  13.11991403497516,
  16.912569487810206,
  15.555531493601828,
  16.607043445459286,
  13.808619451742697,
  14.24824220161588,
  15.686786849931707,
  18.018648687831554,
  17.41614448706147,
  18.84452022485934,
  18.517890463803727,
  14.664501791590553,
  16.49940872846,
  34.74081701382299,
  18.73509110655804,
  17.007156798744855,
  15.509642870514872,
  14.146857618144173,
  20.62289794221074,
  16.54593637108812,
  19.573207852706897,
  65.57107783211812,
  20.25732295974953,
  14.579917501317963,
  17.207781608475038,
  21.464190052196482,
  14.162932494451276,
  8.529556672101862,
  15.938604558148015,
  17.191987352215477,
  10.62968892309455,
  14.851541410025906,
  16.658195777744226,
  17.660017830108462,
  59.49500414459169,
  18.747211804184555,
  19.30920623366566,
  8.582514575748705,
  10.974419843705181,
  23.923219510310474,
  11.435252967454144,
  13.785373266315853,
  8.27659744251287,
  16.267819245452905,
  10.665496169199391,
  18.185829873651805,
  12.079719849201277,
  16.127035767780917,
  14.378714326326454,
  12.985857683644193,
  55.03473433407183,
  11.927338737107139,
  9.650605866433299,
  16.251192194387986,
  24.266705908533673,
  11.267569872950707,
  18.1199365386249,
  12.58056431443661,
  10.28048119309805,
  18.75933428731257,
  12.496031619875675,
  21.721505651877656,
  18.803729119801954,
  13.496037949477838,
  15.668694501844824,
  15.304578616943989,
  16.045420237661727,
  18.501172218469677,
  58.76034125746778,
  20.993064914850116,
  13.970571657183537,
  13.422958833423685,
  16.418916867122952,
  11.41877055756109,
  17.42810027557322,
  13.917125280326328,
  26.334363672481157,
  17.824288158229397,
  17.532290808606575,
  18.641987605362054,
  19.216241027287207,
  10.867429292011318,
  8.97798169529188,
  19.07592469567472,
  22.380120252635912,
  21.778063926956857,
  21.49931943957233,
  14.185843294724952,
  16.876687785426242,
  16.992763336965407,
  10.2188496404392,
  16.069959091791976,
  16.208305132742375,
  15.835129098273814,
  18.670979856880933,
  11.7098189214209,
  17.096249707174543,
  12.574557750547669,
  15.544486358928307,
  61.26787067669342,
  13.797906760737641,
  16.22758889287992,
  15.97815472270565,
  16.324859985127304,
  15.82894535999572,
  8.780461453467238,
  10.158717304714365,
  18.240219471607173,
  11.479942823649223,
  15.700088312533184,
  11.306524369411678,
  12.666432454808099,
  19.55136512850479,
  15.286072759654425,
  15.67875729269054,
  24.680790377397802,
  19.227473187401685,
  19.710203635901145,
  11.786765394537115,
  16.061387836255875,
  19.05444190046464,
  10.379617644093889,
  8.84378988668788,
  22.0345315675877,
  10.098047281351906,
  10.592859185474934,
  15.5438408016126,
  21.944362516189162,
  16.338476923256103,
  15.70439259489238,
  16.061604790456098,
  16.881340985970645,
  25.246283323801222,
  11.388893593866047,
  5.053114567853907,
  17.048129474346315,
  9.10169480485404,
  27.648543375421387,
  13.71261405936077,
  17.923407066378395,
  13.833823262928854,
  10.065289725457916,
  18.259371876331123,
  53.388325170262085,
  14.136255631573762,
  12.966818068937698,
  12.032730213313314,
  12.5443719358506,
  57.85680446568479,
  13.609460083836774,
  13.704896494615939,
  18.449404696218647,
  10.413875984922187,
  17.893030598074116,
  18.872870890976987,
  23.364748559451865,
  18.00715034155499,
  19.947296557987016,
  12.689941415831006,
  17.39049316452356,
  10.60350323752909,
  17.83231750860698,
  51.23447137897289,
  14.565957222296227,
  16.569833565242785,
  14.45496719946274,
  16.426524454496537,
  14.482191692864822,
  10.158902066944632,
  10.68434858448077,
  17.94014679584418,
  8.539793744540514,
  14.125068474919416,
  10.815849685083286,
  16.115463884581665,
  11.611598628342886,
  10.818473332083942,
  17.094827582786888,
  14.559786044028174,
  7.681988392236018,
  13.100292906218856,
  17.989958562595767,
  19.899542733881376,
  16.027481527697457,
  13.372008602463234,
  16.394735102995732,
  21.314620461215675,
  14.095781815406013,
  18.246784651466253,
  28.679514769914917,
  14.005015601200855,
  20.36511211243776,
  12.694492357564512,
  24.587148696744134,
  10.481142274551077,
  20.528037531703138,
  20.892953850914193,
  15.835714979492403,
  60.896270025447166,
  16.44179632069716,
  22.34722533642494,
  21.41262844333588,
  17.115107701470283,
  23.603062238745316,
  24.268206124225458,
  19.900954761236726,
  17.57509983691407,
  24.87990653062713,
  12.083956941596604,
  18.554123987311204,
  6.036737176847612,
  14.334185341921986,
  15.90072095998313,
  42.61380408482101,
  18.38094307710504,
  10.39929810002832,
  12.328780924809314,
  18.77832120071605,
  17.36880995390133,
  12.681776717312452,
  16.193798095594587,
  17.486586119582473,
  15.316183221993045,
  20.898550277209416,
  10.764792699970993,
  10.125772970597033,
  12.465474833715806,
  7.310785822426203,
  17.515113920527206,
  16.016686153480332,
  10.51014680805431,
  19.950747435427896,
  14.382829110813457,
  9.241705735006597,
  5.979619537516025,
  13.266552426482228,
  11.889601642222935,
  13.368194683197904,
  13.014364806437177,
  12.166832755254157,
  15.488160594041853,
  16.194497919092335,
  17.336675565040125,
  15.489750623368952,
  18.20211090616216,
  12.209504711294324,
  12.144205415285784,
  19.203884435750897,
  16.237034076394046,
  13.903135692890244,
  22.248404439506718,
  17.971594723665465,
  25.675798191635124,
  6.987928191566206,
  11.414543037372713,
  11.32392971461831,
  17.145962937568278,
  15.914429731783695,
  8.889454649803374,
  18.1131127357728,
  13.599468224725811,
  15.73686130648982,
  14.394560545212432,
  28.078319072538182,
  15.846402943182037,
  5.264799349042435,
  21.86336102618344,
  16.36871086122693,
  15.802318042058666,
  15.399774653291239,
  10.727031562175032,
  8.658910140627652,
  13.765111784462393,
  11.141710286256476,
  5.5539610891093,
  17.759694194829184,
  13.699668915550607,
  16.609606836090343,
  14.643741738022756,
  14.52316680861784,
  16.691179482217432,
  10.961532024880821,
  28.291872614328213,
  11.914064493862542,
  26.334403703634123,
  22.82393655317666,
  14.034168631234705,
  12.50858948773773,
  13.79823387109882,
  46.3660170675662,
  10.272871640949646,
  18.461052054894356,
  12.573507807306019,
  18.774137887494195,
  14.082037555969707,
  21.986005033438346,
  13.999256160000828,
  13.20426808065657,
  14.926448729753305,
  57.54307827953372,
  10.401639377377071,
  13.640655082790271,
  10.31928613059809,
  17.53329990471927,
  13.462951343830287,
  18.47675244219154,
  13.568640431258519,
  14.969923694127946,
  15.927529997017931,
  11.745615106458304,
  13.833540287372799,
  18.50542617407327,
  10.877034593623025,
  14.58705896836374,
  13.160033696338267,
  21.839951039096043,
  11.323488718584851,
  14.148301912971709,
  12.020464162423954,
  13.471369995276143,
  18.91651677468152,
  17.051897181970414,
  26.452081699604722,
  12.263896670489908,
  9.749618814252136,
  15.166156715952786,
  12.34836455519763,
  19.354488000277804,
  15.230844902759268,
  13.51654701188337,
  14.414059737398343,
  11.65215432396412,
  25.059465676609648,
  20.360232520928598,
  9.430532151713452,
  16.312937781114766,
  18.681576318794086,
  8.405394454716234,
  13.362189044837475,
  20.735736407432405,
  16.454087298295445,
  19.49645243458161,
  16.089861112197344,
  18.029851245760014,
  9.542845593088689,
  9.065355401433454,
  14.605943437533492,
  11.912512474450633,
  12.301044465582141,
  52.65465064602904,
  12.530393656009506,
  23.05686143268572,
  13.671880314017514,
  17.539554427042265,
  13.390602805190447,
  21.339704822388263,
  15.846400094504117,
  17.57221900043614,
  5.668675229681585,
  57.9931733520274,
  22.258479744896388,
  14.44918931645287,
  18.542021420696308,
  11.423779931021057,
  10.246918262567775,
  12.260375009923196,
  15.912723219028559,
  12.902959413036703,
  14.380622663168417,
  11.050815394055999,
  5.383647660210955,
  14.020187048531474,
  13.200721631969575,
  11.527853960180218,
  13.707675454995119,
  20.931597999964417,
  18.04802457531077,
  18.091355667790225,
  13.278631403547646,
  12.14538770626494,
  13.882664238710694,
  16.94927320141223,
  14.27519287654094,
  12.75579717547296,
  15.268983504424368,
  17.081734759695184,
  13.050444876809301,
  15.048823095999822,
  12.132697577091122,
  17.3164959301796,
  5.526329725001152,
  22.197781056290378,
  18.448223236504706,
  18.78899405154293,
  15.595731019606271,
  13.617880501299975,
  15.489773881765087,
  18.899439614930532,
  21.280349571430214,
  12.689671399078373,
  14.387225896735334,
  15.22935885531825,
  7.9385045490485675,
  11.656857977375784,
  10.242136020919311,
  5.3953111602835495,
  10.053101697817024,
  6.062549628320704,
  11.76501727842225,
  15.507702973985797,
  17.76804905214276,
  33.31329281067839,
  17.229051849587712,
  11.651428669979941,
  19.961201936728813,
  59.72465753851706,
  15.312136444639782,
  13.542933584376117,
  28.19558504466116,
  21.31896401730404,
  15.189839495191393,
  15.7555367015846,
  23.753252411051708,
  15.109367853141908,
  7.211982031679973,
  15.7918703803895,
  15.708804348615436,
  12.743627376955471,
  12.49288776290135,
  12.358196870709655,
  10.746008804746284,
  10.714085743087644,
  23.6847090542892,
  11.491874518198458,
  6.766180073309168,
  58.883709471808444,
  15.953844766650427,
  15.771613602800672,
  18.29157609631204,
  18.422161010599318,
  15.596047184301373,
  10.343331524277325,
  15.042540984687104,
  18.212756157865204,
  15.459820279707628,
  16.297403083415407,
  13.282817397003045,
  14.681652827699851,
  18.173366740911074,
  20.268621314268646,
  62.77015734497752,
  14.898173681792873,
  15.552984500710613,
  18.801888689338654,
  27.99545642837834,
  14.574169579774352,
  18.730304499391842,
  14.256126275359952,
  19.77780004759995,
  12.750757124298628,
  10.716782137397846,
  ...])

Energy spectrum

caption, xmean,count, xle, Etot = energy_spectrum(E_tot)
hist_file(E_hist, xmean, count, caption);

([6.418557029915181,
  70261.38586041154,
  84885.9375,
  183416.11715766828,
  257602.79498638384,
  423808.9600845949,
  426135.63243690215,
  532839.6434992995,
  532917.5820798437,
  568867.5341636096,
  737438.3234783739,
  813110.6105848555,
  851060.6213057807,
  893127.3810361443,
  910757.7694191374,
  931061.3257101481,
  991591.1993586748,
  997433.7307185594,
  1049454.3494200287,
  1106358.7161656702,
  1146160.1251869663,
  1194425.943882569,
  1216871.1678940712,
  1239699.9496262346,
  1335209.2955045223,
  1343463.8824786814,
  1399837.6263333827,
  1458621.1187430331,
  1465224.1379136748,
  1505907.7605237379,
  1512355.3255796316,
  1537392.8266254093,
  1582878.5966419338,
  1629289.1110143578,
  1653025.709651205,
  1681340.5692285001,
  1682809.3691660515,
  1820972.448144754,
  1855627.6452163032,
  1942954.1776342434,
  2094633.764963593,
  2109674.8144330923,
  2121294.4530823217,
  2131751.8368615326,
  2166022.212004223,
  2227206.6184324776,
  2249714.093679102,
  2382134.502723589,
  2401948.3683028426,
  2408661.082861454,
  2420281.3646206744,
  2490548.908192827,
  2569216.065771085,
  2584281.0833060774,
  2667900.0,
  2699515.709644253,
  2717608.8139520404,
  2787348.581707388,
  2941361.91166613,
  2963615.1752033522,
  2998000.521658487,
  3003956.8371418356,
  3024578.7141624214,
  3041410.8354468485,
  3053135.4804660985,
  3057840.2132534254,
  3073545.542787958,
  3175916.7695023627,
  3206256.25,
  3262699.3207031772,
  3284436.008130228,
  3394915.4020076008,
  3445486.1182477004,
  3446187.33068406,
  3558055.427473073,
  3668727.809615889,
  3688504.7092120536,
  3918107.4630939025,
  3944928.292074605,
  3947426.076549797,
  3954135.452069854,
  4102576.0741678067,
  4207358.737622851,
  4233543.84176325,
  4300255.573137771,
  4385736.815326633,
  4406101.647537698,
  4415003.31279698,
  4502307.253001743,
  4546128.213198516,
  4584249.486820666,
  4680857.693675275,
  4710632.907706912,
  4743929.1170778675,
  4763717.288129658,
  4764873.902841219,
  4799310.640451903,
  4825407.8125,
  4959584.610525148,
  4963804.7966241455,
  4963828.65107508,
  4989043.174408218,
  4994083.073523444,
  5001766.359383102,
  5086102.620536018,
  5119336.11587657,
  5172541.997970519,
  5281201.121462145,
  5297263.694257532,
  5390660.831608186,
  5438356.783634296,
  5546907.0789457755,
  5552562.031930719,
  5622629.783983607,
  5735566.555540837,
  5803248.007722567,
  5813536.033404287,
  5865966.60634176,
  5894064.553519207,
  5931132.8125,
  5943316.102267013,
  6065981.596380501,
  6094595.907627196,
  6144680.4754678095,
  6204070.79560283,
  6407729.691407272,
  6412840.348207519,
  6434841.45949563,
  6463284.430965261,
  6464000.999879589,
  6479827.652238497,
  6501919.332968478,
  6639522.578120072,
  6649589.920476234,
  6832031.081725368,
  6881301.52585118,
  6921822.760321054,
  7027073.175818498,
  7108061.856752901,
  7136484.145791895,
  7146863.972929647,
  7193582.407588996,
  7228270.617177786,
  7238981.44780804,
  7299285.858119463,
  7316853.348784296,
  7322885.663624833,
  7339676.061215275,
  7343128.2575444635,
  7360438.6591277,
  7367219.764740159,
  7388917.943456114,
  7493028.63488627,
  7497737.387078389,
  7533126.134594023,
  7547213.59364333,
  7555113.345595878,
  7560590.641889222,
  7620005.224562059,
  7659470.5686957305,
  7659809.671804975,
  7718247.155763746,
  7821410.763048671,
  7830391.357971373,
  7847410.946359444,
  7913252.0105495425,
  7924325.974143884,
  7968988.744951871,
  7979877.220567279,
  8116013.868558037,
  8127414.0625,
  8165264.283061666,
  8168073.906263603,
  8190396.759810695,
  8201606.248259679,
  8224099.423948611,
  8244632.6960855685,
  8253067.852515612,
  8259908.73998268,
  8315498.0053717485,
  8350791.35937222,
  8379699.19373572,
  8480468.72428808,
  8498851.387900667,
  8505103.794279484,
  8509012.8241689,
  8521320.091139523,
  8521356.16594835,
  8522126.345400743,
  8529768.018315459,
  8576177.391039083,
  8578007.479925139,
  8608633.804192785,
  8619419.341035016,
  8654244.448609062,
  8717711.895847369,
  8782300.172397835,
  8782317.132019458,
  8786009.176131517,
  8821691.111777365,
  8859207.284952205,
  8913395.745810136,
  8927726.882156555,
  8978105.632257078,
  8991009.32714777,
  9042333.841901865,
  9053305.169126442,
  9102627.631238008,
  9116303.45887919,
  9127338.006600618,
  9170012.21198297,
  9171589.69291788,
  9214709.28045875,
  9225887.795198102,
  9258260.064313555,
  9282383.355269708,
  9308655.330459917,
  9331053.125,
  9331490.896023864,
  9393695.255350383,
  9399040.350053357,
  9416886.508164894,
  9477547.398698777,
  9538230.736865437,
  9538536.042274551,
  9557025.946109168,
  9592767.030768601,
  9595571.90794816,
  9673046.099341864,
  9684018.898910314,
  9866885.854181087,
  10049164.305986015,
  10107133.193651523,
  10194939.131706275,
  10194945.3125,
  10225164.525106462,
  10461544.895467376,
  10462867.465553641,
  10548174.687786793,
  10577017.296034276,
  10651353.22554708,
  10675667.733075693,
  10681049.233352557,
  10689550.0,
  10758724.107404908,
  10797742.428325774,
  10831438.199800927,
  10913658.506672751,
  10914077.986682253,
  10925345.029476693,
  10947234.247892756,
  10959480.282172969,
  10972313.873716142,
  10974789.888227096,
  11069651.504048545,
  11076035.058867471,
  11136827.645036431,
  11189135.676197197,
  11236126.295018282,
  11278960.558107248,
  11286469.943711743,
  11319969.793778589,
  11362658.043739358,
  11473012.836260818,
  11496112.669591619,
  11608084.695648516,
  11685148.007067751,
  11712991.535878258,
  11736398.733981403,
  11742190.459073476,
  11762691.560922297,
  11789478.735493522,
  11820054.376218455,
  11830270.164730828,
  11868777.565974763,
  11877043.674918827,
  11890673.211856643,
  11894660.746763851,
  11900615.143901749,
  11945663.656912545,
  12007143.267272625,
  12055135.9375,
  12070286.251571758,
  12156370.542658176,
  12226473.2176467,
  12388607.790214881,
  12443766.187517637,
  12506519.148090944,
  12512437.382935127,
  12531582.13315525,
  12847198.71098662,
  12860161.365978668,
  12950198.4375,
  13125341.671556426,
  13192936.38397575,
  13200164.408847995,
  13213619.872202225,
  13230060.323074758,
  13255112.94405806,
  13291001.820787106,
  13320420.374861414,
  13401589.630007433,
  13440492.406288246,
  13455063.770425672,
  13543383.451195018,
  13574207.885010334,
  13614198.850426992,
  13633184.40938798,
  13665675.197189216,
  13713128.135373324,
  13803998.923587622,
  13812167.08928082,
  13839773.414674964,
  13847787.59976893,
  13865888.882617969,
  13890474.994825402,
  13964450.582149178,
  13993363.156056924,
  14015498.298681624,
  14108277.820194531,
  14201980.102646638,
  14205093.230714785,
  14322359.239849888,
  14366581.868176231,
  14367001.785063293,
  14447740.917745167,
  14448005.7093405,
  14487895.767310306,
  14499411.472868681,
  14541395.337643282,
  14563634.904263139,
  14620583.626153925,
  14642385.318896828,
  14648584.705814105,
  14656078.65214173,
  14661098.008898625,
  14734464.647956613,
  14749639.869176542,
  14786431.811275907,
  14809724.818079386,
  14843303.829600686,
  14985797.77050326,
  14991170.559496121,
  14991702.460362673,
  15025108.067543868,
  15053402.08832994,
  15055320.903763553,
  15068094.004899979,
  15083190.82298501,
  15093348.338279292,
  15105388.817553693,
  15151123.307840578,
  15162546.927012553,
  15254468.005440043,
  15360332.243461724,
  15368608.927825112,
  15398134.060507655,
  15472250.213697165,
  15477000.855808899,
  15513892.963896763,
  15539884.322119586,
  15549599.691685773,
  15660111.217818974,
  15675035.837345269,
  15718112.337587453,
  15744602.718378833,
  15747903.022441298,
  15838601.65268993,
  15845865.42773845,
  15878144.38619588,
  15905049.618078407,
  16039305.189400453,
  16192863.571991121,
  16193703.700897655,
  16312137.715821631,
  16328157.8125,
  16395314.0625,
  16403824.730042895,
  16416638.164303714,
  16459786.159314422,
  16507169.932515519,
  16605627.380563937,
  16677575.366905356,
  16729382.898270613,
  16830415.85101534,
  16897611.567244507,
  16902471.532627873,
  17085691.44975192,
  17123967.82283848,
  17143458.58051739,
  17248738.14163858,
  17263421.23752326,
  17298023.405833323,
  17298605.28123183,
  17353739.01932866,
  17382848.073421203,
  17474946.61709059,
  17492407.142657526,
  17520110.13006502,
  17662961.366322473,
  17710381.66406351,
  17910894.73315239,
  18116358.719486978,
  18176323.085935585,
  18286943.045331128,
  18303592.974212606,
  18356240.936637685,
  18397080.732097827,
  18418437.499794323,
  18626959.240298394,
  18655816.112739157,
  18655826.313737966,
  18662408.564438954,
  18837529.968708966,
  19038007.187955596,
  19153172.845421005,
  19292055.204561975,
  19293122.82943564,
  19330155.772061702,
  19380829.170218706,
  19453640.517649587,
  19471879.55503643,
  19502076.958353613,
  19534640.56987128,
  19534700.6189497,
  19536112.970734492,
  19553523.73801672,
  19569785.390606493,
  19573353.58542915,
  19597875.72942162,
  19656078.340688497,
  19657597.20379647,
  19760372.06677061,
  19791356.37498422,
  19808990.44105246,
  19894482.462445956,
  19927760.09396846,
  19929916.219454873,
  20048410.395491328,
  20082997.560633246,
  20106741.45621242,
  20169052.403891984,
  20261624.17223573,
  20272550.470370542,
  20278596.90870545,
  20296459.375198655,
  20320477.92288525,
  20324529.21998578,
  20399193.23856425,
  20408229.87127758,
  20423914.24584747,
  20528852.16826279,
  20639131.13998952,
  20741399.98646136,
  20785260.72463385,
  20788697.570083477,
  20813402.210448913,
  20884176.28214291,
  20957303.160248995,
  21005834.403854985,
  21043916.13858683,
  21050827.0257161,
  21131352.028750837,
  21145364.368509408,
  21222661.778088447,
  21278301.17121575,
  21291677.299538925,
  21310678.957392246,
  21332943.032191657,
  21352241.477136545,
  21379591.682267733,
  21388095.84980279,
  21419163.892733008,
  21511391.50227803,
  21516872.049007084,
  21584134.253878254,
  21669375.37190728,
  21759521.56147797,
  21796773.595696006,
  21846333.584924944,
  21892235.8361974,
  21938137.19724806,
  21957893.995976448,
  22071883.956999913,
  22186271.07718604,
  22219986.43447375,
  22236017.4343691,
  22284991.818500657,
  22363894.552403007,
  22466119.81660796,
  22519591.75148196,
  22619598.94704829,
  22714748.490880612,
  22748516.52346591,
  22793643.63019104,
  22810487.524626102,
  22920476.859215662,
  22933210.443360392,
  22956778.146526214,
  22969354.459345162,
  23019006.03458791,
  23047749.78361113,
  23048200.67600972,
  23119046.700088743,
  23119403.38489236,
  23167141.611870337,
  23203626.798157673,
  23203728.147277296,
  23393445.2989399,
  23394988.008627992,
  23439066.408793602,
  23444160.06326075,
  23457493.254459854,
  23636655.051680107,
  23681871.222973645,
  23726179.478871007,
  23756418.714237545,
  23860004.937850006,
  23891350.932955153,
  23917609.67844896,
  23935478.65205851,
  23985605.632079195,
  24024070.177843615,
  24072808.59109868,
  24086463.33440842,
  24119279.284308195,
  24131060.03724753,
  24133074.25705504,
  24176527.931294475,
  24206252.76307516,
  24320239.01114664,
  24359288.198285718,
  24386090.901931264,
  24386108.31818029,
  24463182.1602585,
  24471547.54832359,
  24483837.712155327,
  24547376.487899978,
  24594774.3108,
  24719788.4854691,
  24800600.939189848,
  24869370.46477914,
  24931086.3151608,
  25046657.355116192,
  25048263.86789148,
  25059481.43269345,
  25191452.18825666,
  25238252.088914305,
  25310905.436021797,
  25363825.701677803,
  25390281.53516617,
  25391096.22428861,
  25452536.96388717,
  25465980.42056463,
  25493879.917770207,
  25505657.95397731,
  25630515.399626337,
  25675902.76528617,
  25693712.865625523,
  25708219.595789243,
  25715464.0625,
  25757672.352711383,
  25807796.776783332,
  25862845.80239462,
  25903240.122097,
  25918929.462848965,
  25943701.995352395,
  26047787.739117727,
  26297009.49263592,
  26343259.031170078,
  26359561.130671516,
  26460327.289173145,
  26504702.70272168,
  26505993.75,
  26531000.734788273,
  26539251.92104454,
  26556644.27061839,
  26611834.27466715,
  26612059.088383764,
  26640061.12573427,
  26652255.909560546,
  26682142.168580096,
  26698450.306352578,
  26725499.682696655,
  26727461.591627166,
  26842022.409185834,
  26881229.967262626,
  26895206.094069142,
  26935707.183402326,
  26940287.02984951,
  26965597.332689855,
  26977942.54233091,
  26989519.055840753,
  27001617.551682234,
  27017612.58767445,
  27045844.39160451,
  27085701.67639084,
  27091732.19321485,
  27113806.98650927,
  27122772.60361041,
  27132540.75683268,
  27137910.117787275,
  27164280.81091691,
  27193956.428542983,
  27200311.539212532,
  27274365.88731863,
  27382288.199222017,
  27511450.21352278,
  27557216.635869034,
  27748437.219590608,
  27759222.972508185,
  27766680.027719025,
  27865589.241060767,
  27875614.590974525,
  27907202.827504776,
  27917601.441007063,
  27929881.844679754,
  27979833.22250541,
  28078760.87741801,
  28188669.144430377,
  28237542.01434642,
  28237591.737699453,
  28381193.1257108,
  28404252.542542767,
  28488412.09111305,
  28531058.87562322,
  28538449.786531482,
  28676049.955059435,
  28685798.888447773,
  28727211.828704514,
  28819454.955088925,
  28852549.951430917,
  28896001.778731305,
  28942062.049774297,
  28947742.53051597,
  28948230.04281677,
  29027969.513080616,
  29065154.547169585,
  29088805.95565151,
  29123530.91369728,
  29152680.456534453,
  29163313.27896438,
  29195450.321058795,
  29242330.5666154,
  29257191.455150213,
  29269258.651898112,
  29426703.69690788,
  29473723.65173809,
  29532664.24823644,
  29534432.92396697,
  29534468.261093717,
  29584128.968009062,
  29598343.837555528,
  29647131.43085307,
  29713320.88662282,
  29759984.671364266,
  29763968.409978144,
  29771884.759346627,
  29807584.747706983,
  29874752.340030435,
  29888513.524649628,
  29902093.11093742,
  29924191.457534753,
  29930428.911032557,
  29940173.066069257,
  29995153.263000257,
  30067388.606577564,
  30126490.94885128,
  30166566.096598558,
  30182097.140797116,
  30212619.744877703,
  30218352.350932658,
  30407234.53591075,
  30407297.550524812,
  30434928.586102344,
  30450149.71523925,
  30457823.391624458,
  30459955.88532759,
  30472463.110639274,
  30515829.36299121,
  30541911.694249004,
  30571720.389231272,
  30624539.0625,
  30667518.5213724,
  30715199.363376264,
  30764091.135919854,
  30780625.749908146,
  30805718.75,
  30863355.8503197,
  30886118.382735122,
  30888914.754080854,
  30890605.73967317,
  30923316.97946889,
  30923324.189988453,
  30944677.779497698,
  30971377.872619174,
  30993128.26642975,
  31000686.750054263,
  31213820.214023914,
  31232893.386579417,
  31259945.67564157,
  31272512.914979603,
  31354454.271036483,
  31482881.620346487,
  31528320.178712018,
  31580254.62690206,
  31580287.374037042,
  31600886.777058933,
  31609232.509042565,
  31636775.808586035,
  31693933.262490503,
  31718763.830431223,
  31830856.040880762,
  31901813.53038646,
  31954877.21340593,
  31958548.23022401,
  32018831.71959862,
  32029112.396110993,
  32048173.650108963,
  32063882.227947865,
  32093111.55872497,
  32133544.636396483,
  32142739.32095187,
  32219655.76669686,
  32285856.774708305,
  32297487.361446653,
  32332940.534609728,
  32334058.473626107,
  32352863.329403717,
  32368270.043001615,
  32380313.441467084,
  32628347.689477593,
  32672568.69498259,
  32714246.417822786,
  32827315.02249091,
  32841196.312657405,
  32862243.227141503,
  32880256.25,
  32944415.869996637,
  33029246.45656156,
  33045687.81425546,
  33060581.448198196,
  33102434.780176256,
  33191313.057492744,
  33207268.07406849,
  33213743.135369807,
  33248761.62531962,
  33366217.723769873,
  33425017.894480415,
  33427468.24117314,
  33433377.955982268,
  33626574.891052864,
  33649715.55072529,
  33650243.913889594,
  33694535.70110297,
  33713464.71543558,
  33755455.42669899,
  33872678.64322051,
  33938189.94552547,
  33960822.16885343,
  33990563.629089355,
  33990567.92214805,
  34012935.554536164,
  34020091.94221111,
  34030564.873058945,
  34119072.590017065,
  34125460.04941125,
  34150647.41835611,
  34244067.44361916,
  34245116.75288299,
  34245320.86814754,
  34281459.2202726,
  34326559.26697927,
  34326628.57547273,
  34340944.16786545,
  34402034.81326883,
  34410737.015317835,
  34525235.31960901,
  34722944.32657938,
  34869868.88638999,
  34887350.1156256,
  34920653.63762391,
  34989304.82426721,
  34991915.74360471,
  35041111.12082712,
  35212616.19065872,
  35443048.7282996,
  35459707.48887161,
  35460057.510501035,
  35509311.03366362,
  35567124.05581433,
  35585812.33711034,
  35594091.653975815,
  35601972.05107238,
  35633237.835563116,
  35687625.47883116,
  35706739.29630743,
  35707785.36409454,
  35709728.765544154,
  35730628.64435554,
  35752968.944112085,
  35823197.15594893,
  35860161.72275501,
  35904376.7812448,
  35905085.06236703,
  35925019.84883279,
  36010540.955028884,
  36024558.02138799,
  36040252.630782284,
  36040298.165088676,
  36217395.9559383,
  36231421.52784989,
  36255898.446440555,
  36409112.92285446,
  36441876.298963204,
  36545152.755976655,
  36758981.62816305,
  36788545.23212028,
  36838948.3232355,
  36842211.33153691,
  36873746.76601994,
  36900092.39973786,
  36912366.07588045,
  36930945.56218344,
  36953680.873806454,
  36965676.30217603,
  37081392.921667375,
  37201860.6013051,
  37235412.5,
  37235422.81185165,
  37239928.81830495,
  37250560.59712637,
  37354589.76294858,
  37424656.004621245,
  37432639.468099095,
  37555166.91618258,
  37565468.20492484,
  37627955.24093704,
  37629113.42870129,
  37631405.72987784,
  37658516.587344795,
  37886241.600412264,
  37963380.24297171,
  38056980.46715201,
  38070899.1331245,
  38161896.46125049,
  38178992.63046703,
  38250308.04918781,
  38370000.73091035,
  38393415.30039864,
  38433336.57998272,
  38503174.833481394,
  38542174.90379019,
  38613080.68824377,
  38613982.346581146,
  38755831.37174548,
  38827316.96256907,
  38892016.12979973,
  39083271.42721773,
  39107652.321064964,
  39113312.96179016,
  39156434.260646954,
  39170242.81021816,
  39181931.70639197,
  39186203.18271625,
  39267931.91195977,
  39302252.38008524,
  39326586.01139452,
  39345160.505613856,
  39364592.04187467,
  39368976.873972364,
  39443559.22872338,
  39528074.870347925,
  39592829.802453876,
  39696934.69360864,
  39763314.787919655,
  39807562.718123995,
  39859312.01314399,
  39897168.17057158,
  39939409.72230715,
  40108210.887063526,
  40123842.28935922,
  40128889.69002098,
  40159404.92740761,
  40230180.91765628,
  40261007.72158357,
  40311250.45008274,
  40311635.015078604,
  40415854.6875,
  40432416.368775435,
  40454788.706165195,
  40473449.03239729,
  40544213.04750079,
  40589071.39840343,
  40594529.171984114,
  40776951.781244166,
  40827934.92801622,
  40855863.447011165,
  40884720.27716677,
  40965409.40081015,
  41060871.73954589,
  41096811.642712265,
  41112976.74400552,
  41115239.97752589,
  41119199.058563925,
  41150397.108431734,
  41242416.525389664,
  41259337.3446274,
  41311890.57524393,
  41345719.91917944,
  41348068.485282935,
  41383071.32859358,
  41407222.11675731,
  41442426.196169116,
  41491354.86681571,
  41586050.63037702,
  41674266.262156285,
  41685782.29509579,
  41715561.50373089,
  41795241.87888677,
  41834836.8264854,
  41868442.00096406,
  41881308.65268373,
  41887023.520843126,
  41897642.65472279,
  42030705.64618763,
  42052093.77787295,
  42099520.87258036,
  42152005.19659522,
  42176523.29761388,
  42200197.254003614,
  42229646.00390581,
  42298024.17820782,
  42298285.458339415,
  42446144.88447064,
  42492964.19927272,
  42570175.75619177,
  42613216.66590496,
  42671478.93744008,
  42771424.84655745,
  42781186.01102502,
  42811222.71568657,
  42816662.814063966,
  42862930.59848328,
  42903581.16701811,
  42917881.995767884,
  42935637.25067355,
  42936976.93525175,
  43034589.20351872,
  43121802.14801974,
  43245728.94831704,
  43280454.76552352,
  43328312.81107225,
  43414289.25088767,
  43496823.4375,
  43516967.28145482,
  43545607.58738491,
  43553017.17064559,
  43690609.64445191,
  43696745.376161605,
  43834165.82334505,
  43835230.950196534,
  43850900.149860665,
  43890095.64605048,
  43899884.581540905,
  43928261.12522656,
  44001736.77261055,
  44023514.78971655,
  44175520.97897391,
  44275188.80375928,
  44303230.96821625,
  44353153.41308404,
  44372873.65862588,
  44373792.20087674,
  44374929.80914848,
  44464214.583471596,
  44506812.70197797,
  44656813.49008176,
  44720540.9644882,
  44729664.22424304,
  44804138.495154575,
  44822270.33875667,
  44875885.96355426,
  44877326.69214854,
  44929306.56540876,
  44953208.85913974,
  44954015.53077158,
  44994631.89987091,
  44997925.930317916,
  45085604.509122476,
  45223465.613583714,
  45228298.584866345,
  45377831.99252778,
  45462003.26317654,
  45472262.40016604,
  45479598.55638643,
  45539484.18275755,
  45575594.62144824,
  45578375.83808448,
  45631338.782671496,
  ...],
 [15.625400081969238,
  15.521282612265743,
  60.86114308353108,
  12.95819660593517,
  13.817025329300105,
  20.251387594909357,
  22.470241778901844,
  17.740467713594605,
  5.076142531008767,
  16.450885660861054,
  18.38086416830192,
  23.412920358201443,
  21.78625240578642,
  10.134848343129647,
  16.84090311526964,
  16.66111125343458,
  17.700154915871302,
  12.947531265120555,
  13.792517964209022,
  20.042599691438696,
  26.531558451722283,
  25.356044774386387,
  26.96355387023538,
  20.32393258506874,
  17.88849343729982,
  14.297049344575457,
  14.220847206504867,
  19.26829033555858,
  18.509279745337555,
  11.047424946836237,
  9.936269536852468,
  9.937381145926024,
  17.591251170464016,
  15.129704859561695,
  18.572444105624196,
  14.73311181651916,
  14.91931966834835,
  12.159702178009907,
  13.381756855050929,
  7.4286814092095526,
  25.835850593382133,
  14.278437899430397,
  20.896226872154713,
  16.101644244694498,
  11.858479173477877,
  16.560133716841218,
  17.092381909605123,
  15.451754433015862,
  14.68416242763107,
  18.974496018192685,
  11.31172068936697,
  17.10086662416802,
  16.937758399909946,
  14.342063403118603,
  61.16612739801424,
  15.27425634053769,
  13.161902893853156,
  13.453148586264078,
  19.751854481550758,
  13.465676822906893,
  17.388628952282588,
  28.136993530185997,
  17.790357521840658,
  14.566292932590956,
  19.285351439831587,
  14.708387463285465,
  15.898462995423763,
  16.233313506328642,
  29.33238139935813,
  13.084517471029464,
  15.21773059741272,
  18.777939729835726,
  15.678297920935918,
  28.671811461639493,
  14.239136676967718,
  15.867571090133163,
  15.67761133629839,
  23.13951605176799,
  11.399298735870156,
  13.36469053313154,
  19.73643970164025,
  17.908792640304767,
  18.332201037979686,
  14.909265768068138,
  10.72105908478586,
  20.97447394287884,
  17.32309458770946,
  5.82800754851369,
  13.165995484025295,
  17.756084045823812,
  13.290095291003945,
  16.65790072202417,
  23.71941571784213,
  20.81823491261195,
  15.339454948239124,
  11.9423098954258,
  13.91851638146011,
  59.59642486110475,
  23.615134488485637,
  11.302669137099109,
  17.41417801262494,
  12.87997245671887,
  16.039405471929975,
  18.744360804496935,
  10.421223664006307,
  11.418457454482946,
  22.649675942396833,
  13.490483291933304,
  14.883169659963205,
  9.24344239674897,
  17.458139362001592,
  6.941108898534062,
  13.41435582461195,
  15.322470182953172,
  12.978608728867785,
  17.99646167439183,
  16.797593224093937,
  22.766626607861042,
  17.214098814648715,
  42.47247081348203,
  17.137270960907518,
  16.44947772932613,
  17.827047352459314,
  12.632199074540049,
  17.169761022598944,
  14.956423054193001,
  21.667741362844765,
  19.484866459167506,
  24.099168846415616,
  61.283207561861296,
  25.720087569936094,
  21.874556076610748,
  12.438918494627954,
  13.871158206732783,
  25.59301763723204,
  11.070901490929153,
  12.86564643483647,
  62.19824904073326,
  12.900581716776582,
  20.8118057571023,
  18.68343801871196,
  120.20640205500403,
  14.071177883136563,
  19.27042389025145,
  7.100740106915321,
  15.635776648560359,
  10.72500614182724,
  6.667392049059146,
  21.48803524915418,
  12.85031695195118,
  13.197119010084194,
  18.897746063733393,
  17.321014289774293,
  7.092081036475082,
  20.896283479300184,
  13.412157310044378,
  22.494101197099646,
  22.60449137414949,
  12.085568762393196,
  16.01704018012291,
  21.619320758990927,
  18.681742728906936,
  27.052040782494082,
  18.73443591116034,
  14.97538533898754,
  16.977049580206852,
  13.090402559937235,
  17.935122330436435,
  18.226754852636606,
  16.75507341942945,
  60.80291004917804,
  15.8545659739796,
  11.94902548825665,
  15.048695699789803,
  24.03332304329515,
  13.122475824725196,
  61.96735545605493,
  12.443961156513524,
  12.97087497948691,
  13.515855581977242,
  18.779480392936975,
  19.361008056134445,
  14.844404965788343,
  9.188007798265705,
  18.300457796612974,
  11.67525595138734,
  14.159965039375104,
  10.99882194656285,
  14.818336368147929,
  12.733351554265777,
  12.727915603370288,
  13.809229949371348,
  20.005975726618402,
  17.80185450306469,
  22.355952530254537,
  15.799303218054593,
  15.64201281156295,
  20.604147136693747,
  25.134640118393484,
  17.190303219223416,
  47.28903583803573,
  11.88002642111247,
  16.318033911852584,
  6.968012241936015,
  14.762202906677597,
  21.169162683205272,
  11.974372058364235,
  16.636755941845202,
  11.693022741052165,
  17.302267744968855,
  23.73642541048077,
  18.04828492815462,
  14.593004161967139,
  16.20020870394224,
  12.408316443313579,
  17.511663264674834,
  18.128668968179667,
  60.17048203958947,
  23.96490136689931,
  8.25658511419773,
  13.98778576770613,
  17.67783610421461,
  12.0584686094246,
  8.932195446158454,
  21.130510311320037,
  12.985542490985926,
  10.891254995109879,
  15.068597315142105,
  12.629573853621068,
  12.817010367270964,
  10.999924384902105,
  15.958566741108353,
  16.624881613141895,
  17.569491075886965,
  58.67116815028094,
  17.056371636514793,
  13.559166639832473,
  15.663709164827399,
  23.59597848814039,
  15.37198303897983,
  15.339116147620356,
  54.51220409253111,
  19.19018939008411,
  56.37508977032847,
  18.304592031947795,
  9.543689208767011,
  15.586276290599521,
  9.9965232835678,
  19.95930556611989,
  23.9700449682314,
  58.423784054146736,
  31.208637457024963,
  10.84491281588996,
  19.416980115959678,
  14.723303854129803,
  8.684662570118384,
  21.69533027343483,
  14.031049880047197,
  14.01140881266859,
  17.581437048676914,
  53.89747482229015,
  21.30835518582496,
  16.695801860958348,
  16.399365405284275,
  15.629870208113894,
  16.322861949625892,
  24.696271114919128,
  17.96842631552412,
  16.206333195392173,
  14.344667726191476,
  13.232779446144647,
  17.26784974352722,
  13.874430486997525,
  14.406686417648677,
  13.167245433044359,
  21.105461633993492,
  15.942901155119493,
  18.76337986445489,
  29.40061907380559,
  13.592277499116495,
  21.667151861781615,
  53.46489880048042,
  16.290924208123137,
  9.533904584977385,
  10.800613080528699,
  17.644118777767957,
  16.448105755148784,
  11.81271065267751,
  26.407222698726024,
  12.860310160394626,
  16.0975414117108,
  15.366647276681697,
  58.368393316159555,
  21.33551542755858,
  16.968533049598474,
  20.512933838330305,
  7.010328766644452,
  20.422852046249005,
  16.95547213499956,
  11.55694264711855,
  15.184651457915209,
  7.822256457518399,
  15.846598019324704,
  13.934018100909613,
  12.298071106143835,
  11.242968685090688,
  16.776235148251786,
  18.490509697555318,
  16.787587251332432,
  14.981195634066879,
  17.186442253915693,
  14.57990856835434,
  5.7053068995269385,
  15.335924557799922,
  22.5357252688489,
  14.92182289183951,
  17.747472922344922,
  12.335543796697985,
  20.225712459461448,
  19.315405093033036,
  9.70896671532443,
  68.02728829522218,
  15.917200930009983,
  12.2542349817453,
  15.863572518668219,
  6.3049069408079745,
  13.216051759265696,
  7.776456974626184,
  19.430252971040098,
  11.167236121017618,
  20.532524048035945,
  19.324498653305138,
  8.857920926776403,
  16.372564735863048,
  17.420363360819923,
  13.52593812890341,
  17.767663120953745,
  12.676064351116423,
  17.621439489341654,
  14.290667314959382,
  11.637648286884392,
  10.223895103990406,
  11.537047680570366,
  12.896679295867688,
  16.01171658171561,
  9.819465666723731,
  13.911926055918936,
  19.729032440142934,
  11.451944795309876,
  14.576348335663884,
  10.765272517413786,
  14.469312879123914,
  20.387388871157444,
  19.357200512847605,
  20.830984806895565,
  13.473088007550032,
  13.86454154951159,
  15.823784983083721,
  19.163545425047168,
  12.605299323278443,
  13.198500189090428,
  20.293762548165972,
  16.129657497441276,
  17.277017424799645,
  10.882993003451979,
  22.47808232410465,
  14.564500262769684,
  19.28257283195719,
  25.158223806290437,
  20.500168279822482,
  16.848412273223225,
  14.699291828682558,
  21.588304611643498,
  17.709475900763962,
  9.520812468311192,
  48.96359595160427,
  59.178350824000155,
  8.148798737028004,
  18.26765348623769,
  15.860201241928092,
  22.780129672617793,
  12.702991547981402,
  28.66939962165186,
  7.634556853717999,
  11.500368730323125,
  18.043995667092332,
  13.779529023310655,
  19.40946783560073,
  18.079709953998538,
  18.984934266670834,
  18.527675646916624,
  10.725707832010208,
  11.078567887590452,
  12.202638189751099,
  16.503882379426877,
  22.96533678191226,
  14.041870504778684,
  12.883772359972225,
  19.926257566915016,
  16.034396579366984,
  25.821456654229458,
  21.531089840516962,
  20.070415284837434,
  63.43182737762328,
  19.668544554405443,
  15.55829147635183,
  11.652454185762059,
  8.928785315354142,
  19.470048771192474,
  14.451798079974436,
  25.450481239670435,
  10.759932331104308,
  18.868936880180232,
  16.133853907608337,
  8.85380827547451,
  19.865021452552035,
  15.0706863285037,
  13.039516475201367,
  15.875933184381068,
  13.278964517150461,
  7.564866910628467,
  14.459564756826996,
  14.175716319867512,
  11.042616711860072,
  9.916012957707212,
  20.620553784686713,
  17.0443306966843,
  14.115158219579662,
  16.617111062488682,
  12.497862416982523,
  11.48245204923746,
  16.362667119130382,
  15.72655718862725,
  17.850939978627405,
  14.283865432028932,
  16.888086277416036,
  18.63672648938104,
  17.822901845348813,
  13.21244802545714,
  12.400198040257353,
  19.043757675552946,
  12.75870080373338,
  18.74684202235306,
  17.099087299987886,
  18.186480573411558,
  17.403597253836786,
  25.949164635808486,
  13.415906281785256,
  13.294834940136909,
  15.691522196675262,
  15.689643057654687,
  9.902134531283505,
  12.971373111650779,
  14.890156342637038,
  24.645328656851174,
  12.421077269892423,
  18.16090691906731,
  24.004937860474357,
  13.791994498384883,
  18.897750028922474,
  17.342193134859038,
  17.059715340426134,
  17.076386249697286,
  16.25200365106913,
  17.885830067790025,
  9.021103433075789,
  7.329682465921845,
  59.885533874757286,
  19.564577086900464,
  12.78460998905703,
  16.96897542125634,
  20.80653962447537,
  14.331647877635703,
  19.82505223859787,
  15.648987884809603,
  8.223548121158442,
  17.27677496310433,
  13.867527858970924,
  20.96971263142923,
  10.082778882116994,
  21.581697580637307,
  13.90080077022048,
  15.969978272508776,
  15.06858896904554,
  18.96074849766773,
  20.61072266143993,
  15.974073999771996,
  20.041069168385782,
  18.32366338386191,
  20.246798064285723,
  13.765099221624283,
  19.257716037106952,
  15.14895112533583,
  19.999249190535025,
  21.015687504586815,
  15.036210761531947,
  11.62548625566729,
  15.970445852007114,
  11.161521190420052,
  13.289205684606857,
  49.805280827062276,
  14.176251384950683,
  19.01098276271106,
  10.864889466315026,
  17.816796713426463,
  16.000596664795292,
  11.517179106882367,
  5.399326355639911,
  16.541143695146033,
  17.313828672908983,
  17.058748249039677,
  5.866723464133697,
  13.33827714907416,
  13.804349710729348,
  12.928112296194348,
  24.992532745799537,
  14.806929466413145,
  20.916069548023792,
  8.850352655113944,
  16.93015618732187,
  17.41988056349271,
  13.01428872139166,
  14.451954890560934,
  19.062288332461353,
  20.584684415339055,
  22.51641363915022,
  20.71934405576905,
  18.355867865361773,
  13.19077513482295,
  13.720807243057699,
  8.259606230078225,
  12.428176817945088,
  7.196202311164499,
  5.216499434753085,
  12.927574111063796,
  19.224975564902117,
  15.816893864156786,
  14.664593634209195,
  19.79277785246079,
  13.11991403497516,
  16.912569487810206,
  15.555531493601828,
  16.607043445459286,
  13.808619451742697,
  14.24824220161588,
  15.686786849931707,
  18.018648687831554,
  17.41614448706147,
  18.84452022485934,
  18.517890463803727,
  14.664501791590553,
  16.49940872846,
  34.74081701382299,
  18.73509110655804,
  17.007156798744855,
  15.509642870514872,
  14.146857618144173,
  20.62289794221074,
  16.54593637108812,
  19.573207852706897,
  65.57107783211812,
  20.25732295974953,
  14.579917501317963,
  17.207781608475038,
  21.464190052196482,
  14.162932494451276,
  8.529556672101862,
  15.938604558148015,
  17.191987352215477,
  10.62968892309455,
  14.851541410025906,
  16.658195777744226,
  17.660017830108462,
  59.49500414459169,
  18.747211804184555,
  19.30920623366566,
  8.582514575748705,
  10.974419843705181,
  23.923219510310474,
  11.435252967454144,
  13.785373266315853,
  8.27659744251287,
  16.267819245452905,
  10.665496169199391,
  18.185829873651805,
  12.079719849201277,
  16.127035767780917,
  14.378714326326454,
  12.985857683644193,
  55.03473433407183,
  11.927338737107139,
  9.650605866433299,
  16.251192194387986,
  24.266705908533673,
  11.267569872950707,
  18.1199365386249,
  12.58056431443661,
  10.28048119309805,
  18.75933428731257,
  12.496031619875675,
  21.721505651877656,
  18.803729119801954,
  13.496037949477838,
  15.668694501844824,
  15.304578616943989,
  16.045420237661727,
  18.501172218469677,
  58.76034125746778,
  20.993064914850116,
  13.970571657183537,
  13.422958833423685,
  16.418916867122952,
  11.41877055756109,
  17.42810027557322,
  13.917125280326328,
  26.334363672481157,
  17.824288158229397,
  17.532290808606575,
  18.641987605362054,
  19.216241027287207,
  10.867429292011318,
  8.97798169529188,
  19.07592469567472,
  22.380120252635912,
  21.778063926956857,
  21.49931943957233,
  14.185843294724952,
  16.876687785426242,
  16.992763336965407,
  10.2188496404392,
  16.069959091791976,
  16.208305132742375,
  15.835129098273814,
  18.670979856880933,
  11.7098189214209,
  17.096249707174543,
  12.574557750547669,
  15.544486358928307,
  61.26787067669342,
  13.797906760737641,
  16.22758889287992,
  15.97815472270565,
  16.324859985127304,
  15.82894535999572,
  8.780461453467238,
  10.158717304714365,
  18.240219471607173,
  11.479942823649223,
  15.700088312533184,
  11.306524369411678,
  12.666432454808099,
  19.55136512850479,
  15.286072759654425,
  15.67875729269054,
  24.680790377397802,
  19.227473187401685,
  19.710203635901145,
  11.786765394537115,
  16.061387836255875,
  19.05444190046464,
  10.379617644093889,
  8.84378988668788,
  22.0345315675877,
  10.098047281351906,
  10.592859185474934,
  15.5438408016126,
  21.944362516189162,
  16.338476923256103,
  15.70439259489238,
  16.061604790456098,
  16.881340985970645,
  25.246283323801222,
  11.388893593866047,
  5.053114567853907,
  17.048129474346315,
  9.10169480485404,
  27.648543375421387,
  13.71261405936077,
  17.923407066378395,
  13.833823262928854,
  10.065289725457916,
  18.259371876331123,
  53.388325170262085,
  14.136255631573762,
  12.966818068937698,
  12.032730213313314,
  12.5443719358506,
  57.85680446568479,
  13.609460083836774,
  13.704896494615939,
  18.449404696218647,
  10.413875984922187,
  17.893030598074116,
  18.872870890976987,
  23.364748559451865,
  18.00715034155499,
  19.947296557987016,
  12.689941415831006,
  17.39049316452356,
  10.60350323752909,
  17.83231750860698,
  51.23447137897289,
  14.565957222296227,
  16.569833565242785,
  14.45496719946274,
  16.426524454496537,
  14.482191692864822,
  10.158902066944632,
  10.68434858448077,
  17.94014679584418,
  8.539793744540514,
  14.125068474919416,
  10.815849685083286,
  16.115463884581665,
  11.611598628342886,
  10.818473332083942,
  17.094827582786888,
  14.559786044028174,
  7.681988392236018,
  13.100292906218856,
  17.989958562595767,
  19.899542733881376,
  16.027481527697457,
  13.372008602463234,
  16.394735102995732,
  21.314620461215675,
  14.095781815406013,
  18.246784651466253,
  28.679514769914917,
  14.005015601200855,
  20.36511211243776,
  12.694492357564512,
  24.587148696744134,
  10.481142274551077,
  20.528037531703138,
  20.892953850914193,
  15.835714979492403,
  60.896270025447166,
  16.44179632069716,
  22.34722533642494,
  21.41262844333588,
  17.115107701470283,
  23.603062238745316,
  24.268206124225458,
  19.900954761236726,
  17.57509983691407,
  24.87990653062713,
  12.083956941596604,
  18.554123987311204,
  6.036737176847612,
  14.334185341921986,
  15.90072095998313,
  42.61380408482101,
  18.38094307710504,
  10.39929810002832,
  12.328780924809314,
  18.77832120071605,
  17.36880995390133,
  12.681776717312452,
  16.193798095594587,
  17.486586119582473,
  15.316183221993045,
  20.898550277209416,
  10.764792699970993,
  10.125772970597033,
  12.465474833715806,
  7.310785822426203,
  17.515113920527206,
  16.016686153480332,
  10.51014680805431,
  19.950747435427896,
  14.382829110813457,
  9.241705735006597,
  5.979619537516025,
  13.266552426482228,
  11.889601642222935,
  13.368194683197904,
  13.014364806437177,
  12.166832755254157,
  15.488160594041853,
  16.194497919092335,
  17.336675565040125,
  15.489750623368952,
  18.20211090616216,
  12.209504711294324,
  12.144205415285784,
  19.203884435750897,
  16.237034076394046,
  13.903135692890244,
  22.248404439506718,
  17.971594723665465,
  25.675798191635124,
  6.987928191566206,
  11.414543037372713,
  11.32392971461831,
  17.145962937568278,
  15.914429731783695,
  8.889454649803374,
  18.1131127357728,
  13.599468224725811,
  15.73686130648982,
  14.394560545212432,
  28.078319072538182,
  15.846402943182037,
  5.264799349042435,
  21.86336102618344,
  16.36871086122693,
  15.802318042058666,
  15.399774653291239,
  10.727031562175032,
  8.658910140627652,
  13.765111784462393,
  11.141710286256476,
  5.5539610891093,
  17.759694194829184,
  13.699668915550607,
  16.609606836090343,
  14.643741738022756,
  14.52316680861784,
  16.691179482217432,
  10.961532024880821,
  28.291872614328213,
  11.914064493862542,
  26.334403703634123,
  22.82393655317666,
  14.034168631234705,
  12.50858948773773,
  13.79823387109882,
  46.3660170675662,
  10.272871640949646,
  18.461052054894356,
  12.573507807306019,
  18.774137887494195,
  14.082037555969707,
  21.986005033438346,
  13.999256160000828,
  13.20426808065657,
  14.926448729753305,
  57.54307827953372,
  10.401639377377071,
  13.640655082790271,
  10.31928613059809,
  17.53329990471927,
  13.462951343830287,
  18.47675244219154,
  13.568640431258519,
  14.969923694127946,
  15.927529997017931,
  11.745615106458304,
  13.833540287372799,
  18.50542617407327,
  10.877034593623025,
  14.58705896836374,
  13.160033696338267,
  21.839951039096043,
  11.323488718584851,
  14.148301912971709,
  12.020464162423954,
  13.471369995276143,
  18.91651677468152,
  17.051897181970414,
  26.452081699604722,
  12.263896670489908,
  9.749618814252136,
  15.166156715952786,
  12.34836455519763,
  19.354488000277804,
  15.230844902759268,
  13.51654701188337,
  14.414059737398343,
  11.65215432396412,
  25.059465676609648,
  20.360232520928598,
  9.430532151713452,
  16.312937781114766,
  18.681576318794086,
  8.405394454716234,
  13.362189044837475,
  20.735736407432405,
  16.454087298295445,
  19.49645243458161,
  16.089861112197344,
  18.029851245760014,
  9.542845593088689,
  9.065355401433454,
  14.605943437533492,
  11.912512474450633,
  12.301044465582141,
  52.65465064602904,
  12.530393656009506,
  23.05686143268572,
  13.671880314017514,
  17.539554427042265,
  13.390602805190447,
  21.339704822388263,
  15.846400094504117,
  17.57221900043614,
  5.668675229681585,
  57.9931733520274,
  22.258479744896388,
  14.44918931645287,
  18.542021420696308,
  11.423779931021057,
  10.246918262567775,
  12.260375009923196,
  15.912723219028559,
  12.902959413036703,
  14.380622663168417,
  11.050815394055999,
  5.383647660210955,
  14.020187048531474,
  13.200721631969575,
  11.527853960180218,
  13.707675454995119,
  20.931597999964417,
  18.04802457531077,
  18.091355667790225,
  13.278631403547646,
  12.14538770626494,
  13.882664238710694,
  16.94927320141223,
  14.27519287654094,
  12.75579717547296,
  15.268983504424368,
  17.081734759695184,
  13.050444876809301,
  15.048823095999822,
  12.132697577091122,
  17.3164959301796,
  5.526329725001152,
  22.197781056290378,
  18.448223236504706,
  18.78899405154293,
  15.595731019606271,
  13.617880501299975,
  15.489773881765087,
  18.899439614930532,
  21.280349571430214,
  12.689671399078373,
  14.387225896735334,
  15.22935885531825,
  7.9385045490485675,
  11.656857977375784,
  10.242136020919311,
  5.3953111602835495,
  10.053101697817024,
  6.062549628320704,
  11.76501727842225,
  15.507702973985797,
  17.76804905214276,
  33.31329281067839,
  17.229051849587712,
  11.651428669979941,
  19.961201936728813,
  59.72465753851706,
  15.312136444639782,
  13.542933584376117,
  28.19558504466116,
  21.31896401730404,
  15.189839495191393,
  15.7555367015846,
  23.753252411051708,
  15.109367853141908,
  7.211982031679973,
  15.7918703803895,
  15.708804348615436,
  12.743627376955471,
  12.49288776290135,
  12.358196870709655,
  10.746008804746284,
  10.714085743087644,
  23.6847090542892,
  11.491874518198458,
  6.766180073309168,
  58.883709471808444,
  15.953844766650427,
  15.771613602800672,
  18.29157609631204,
  18.422161010599318,
  15.596047184301373,
  10.343331524277325,
  15.042540984687104,
  18.212756157865204,
  15.459820279707628,
  16.297403083415407,
  13.282817397003045,
  14.681652827699851,
  18.173366740911074,
  20.268621314268646,
  62.77015734497752,
  14.898173681792873,
  15.552984500710613,
  18.801888689338654,
  27.99545642837834,
  14.574169579774352,
  18.730304499391842,
  14.256126275359952,
  19.77780004759995,
  12.750757124298628,
  10.716782137397846,
  ...])

Count of hits during the discharge

caption, T_hit,count1 = hits_in_time_hist_new(T_pom, dt, t_plasma_start, t_plasma_end, is_plasma, figure_count_in_time_hist)
hist_file(count_in_time_hist, T_hit, count1, caption);

([6.418557029915181,
  70261.38586041154,
  84885.9375,
  183416.11715766828,
  257602.79498638384,
  423808.9600845949,
  426135.63243690215,
  532839.6434992995,
  532917.5820798437,
  568867.5341636096,
  737438.3234783739,
  813110.6105848555,
  851060.6213057807,
  893127.3810361443,
  910757.7694191374,
  931061.3257101481,
  991591.1993586748,
  997433.7307185594,
  1049454.3494200287,
  1106358.7161656702,
  1146160.1251869663,
  1194425.943882569,
  1216871.1678940712,
  1239699.9496262346,
  1335209.2955045223,
  1343463.8824786814,
  1399837.6263333827,
  1458621.1187430331,
  1465224.1379136748,
  1505907.7605237379,
  1512355.3255796316,
  1537392.8266254093,
  1582878.5966419338,
  1629289.1110143578,
  1653025.709651205,
  1681340.5692285001,
  1682809.3691660515,
  1820972.448144754,
  1855627.6452163032,
  1942954.1776342434,
  2094633.764963593,
  2109674.8144330923,
  2121294.4530823217,
  2131751.8368615326,
  2166022.212004223,
  2227206.6184324776,
  2249714.093679102,
  2382134.502723589,
  2401948.3683028426,
  2408661.082861454,
  2420281.3646206744,
  2490548.908192827,
  2569216.065771085,
  2584281.0833060774,
  2667900.0,
  2699515.709644253,
  2717608.8139520404,
  2787348.581707388,
  2941361.91166613,
  2963615.1752033522,
  2998000.521658487,
  3003956.8371418356,
  3024578.7141624214,
  3041410.8354468485,
  3053135.4804660985,
  3057840.2132534254,
  3073545.542787958,
  3175916.7695023627,
  3206256.25,
  3262699.3207031772,
  3284436.008130228,
  3394915.4020076008,
  3445486.1182477004,
  3446187.33068406,
  3558055.427473073,
  3668727.809615889,
  3688504.7092120536,
  3918107.4630939025,
  3944928.292074605,
  3947426.076549797,
  3954135.452069854,
  4102576.0741678067,
  4207358.737622851,
  4233543.84176325,
  4300255.573137771,
  4385736.815326633,
  4406101.647537698,
  4415003.31279698,
  4502307.253001743,
  4546128.213198516,
  4584249.486820666,
  4680857.693675275,
  4710632.907706912,
  4743929.1170778675,
  4763717.288129658,
  4764873.902841219,
  4799310.640451903,
  4825407.8125,
  4959584.610525148,
  4963804.7966241455,
  4963828.65107508,
  4989043.174408218,
  4994083.073523444,
  5001766.359383102,
  5086102.620536018,
  5119336.11587657,
  5172541.997970519,
  5281201.121462145,
  5297263.694257532,
  5390660.831608186,
  5438356.783634296,
  5546907.0789457755,
  5552562.031930719,
  5622629.783983607,
  5735566.555540837,
  5803248.007722567,
  5813536.033404287,
  5865966.60634176,
  5894064.553519207,
  5931132.8125,
  5943316.102267013,
  6065981.596380501,
  6094595.907627196,
  6144680.4754678095,
  6204070.79560283,
  6407729.691407272,
  6412840.348207519,
  6434841.45949563,
  6463284.430965261,
  6464000.999879589,
  6479827.652238497,
  6501919.332968478,
  6639522.578120072,
  6649589.920476234,
  6832031.081725368,
  6881301.52585118,
  6921822.760321054,
  7027073.175818498,
  7108061.856752901,
  7136484.145791895,
  7146863.972929647,
  7193582.407588996,
  7228270.617177786,
  7238981.44780804,
  7299285.858119463,
  7316853.348784296,
  7322885.663624833,
  7339676.061215275,
  7343128.2575444635,
  7360438.6591277,
  7367219.764740159,
  7388917.943456114,
  7493028.63488627,
  7497737.387078389,
  7533126.134594023,
  7547213.59364333,
  7555113.345595878,
  7560590.641889222,
  7620005.224562059,
  7659470.5686957305,
  7659809.671804975,
  7718247.155763746,
  7821410.763048671,
  7830391.357971373,
  7847410.946359444,
  7913252.0105495425,
  7924325.974143884,
  7968988.744951871,
  7979877.220567279,
  8116013.868558037,
  8127414.0625,
  8165264.283061666,
  8168073.906263603,
  8190396.759810695,
  8201606.248259679,
  8224099.423948611,
  8244632.6960855685,
  8253067.852515612,
  8259908.73998268,
  8315498.0053717485,
  8350791.35937222,
  8379699.19373572,
  8480468.72428808,
  8498851.387900667,
  8505103.794279484,
  8509012.8241689,
  8521320.091139523,
  8521356.16594835,
  8522126.345400743,
  8529768.018315459,
  8576177.391039083,
  8578007.479925139,
  8608633.804192785,
  8619419.341035016,
  8654244.448609062,
  8717711.895847369,
  8782300.172397835,
  8782317.132019458,
  8786009.176131517,
  8821691.111777365,
  8859207.284952205,
  8913395.745810136,
  8927726.882156555,
  8978105.632257078,
  8991009.32714777,
  9042333.841901865,
  9053305.169126442,
  9102627.631238008,
  9116303.45887919,
  9127338.006600618,
  9170012.21198297,
  9171589.69291788,
  9214709.28045875,
  9225887.795198102,
  9258260.064313555,
  9282383.355269708,
  9308655.330459917,
  9331053.125,
  9331490.896023864,
  9393695.255350383,
  9399040.350053357,
  9416886.508164894,
  9477547.398698777,
  9538230.736865437,
  9538536.042274551,
  9557025.946109168,
  9592767.030768601,
  9595571.90794816,
  9673046.099341864,
  9684018.898910314,
  9866885.854181087,
  10049164.305986015,
  10107133.193651523,
  10194939.131706275,
  10194945.3125,
  10225164.525106462,
  10461544.895467376,
  10462867.465553641,
  10548174.687786793,
  10577017.296034276,
  10651353.22554708,
  10675667.733075693,
  10681049.233352557,
  10689550.0,
  10758724.107404908,
  10797742.428325774,
  10831438.199800927,
  10913658.506672751,
  10914077.986682253,
  10925345.029476693,
  10947234.247892756,
  10959480.282172969,
  10972313.873716142,
  10974789.888227096,
  11069651.504048545,
  11076035.058867471,
  11136827.645036431,
  11189135.676197197,
  11236126.295018282,
  11278960.558107248,
  11286469.943711743,
  11319969.793778589,
  11362658.043739358,
  11473012.836260818,
  11496112.669591619,
  11608084.695648516,
  11685148.007067751,
  11712991.535878258,
  11736398.733981403,
  11742190.459073476,
  11762691.560922297,
  11789478.735493522,
  11820054.376218455,
  11830270.164730828,
  11868777.565974763,
  11877043.674918827,
  11890673.211856643,
  11894660.746763851,
  11900615.143901749,
  11945663.656912545,
  12007143.267272625,
  12055135.9375,
  12070286.251571758,
  12156370.542658176,
  12226473.2176467,
  12388607.790214881,
  12443766.187517637,
  12506519.148090944,
  12512437.382935127,
  12531582.13315525,
  12847198.71098662,
  12860161.365978668,
  12950198.4375,
  13125341.671556426,
  13192936.38397575,
  13200164.408847995,
  13213619.872202225,
  13230060.323074758,
  13255112.94405806,
  13291001.820787106,
  13320420.374861414,
  13401589.630007433,
  13440492.406288246,
  13455063.770425672,
  13543383.451195018,
  13574207.885010334,
  13614198.850426992,
  13633184.40938798,
  13665675.197189216,
  13713128.135373324,
  13803998.923587622,
  13812167.08928082,
  13839773.414674964,
  13847787.59976893,
  13865888.882617969,
  13890474.994825402,
  13964450.582149178,
  13993363.156056924,
  14015498.298681624,
  14108277.820194531,
  14201980.102646638,
  14205093.230714785,
  14322359.239849888,
  14366581.868176231,
  14367001.785063293,
  14447740.917745167,
  14448005.7093405,
  14487895.767310306,
  14499411.472868681,
  14541395.337643282,
  14563634.904263139,
  14620583.626153925,
  14642385.318896828,
  14648584.705814105,
  14656078.65214173,
  14661098.008898625,
  14734464.647956613,
  14749639.869176542,
  14786431.811275907,
  14809724.818079386,
  14843303.829600686,
  14985797.77050326,
  14991170.559496121,
  14991702.460362673,
  15025108.067543868,
  15053402.08832994,
  15055320.903763553,
  15068094.004899979,
  15083190.82298501,
  15093348.338279292,
  15105388.817553693,
  15151123.307840578,
  15162546.927012553,
  15254468.005440043,
  15360332.243461724,
  15368608.927825112,
  15398134.060507655,
  15472250.213697165,
  15477000.855808899,
  15513892.963896763,
  15539884.322119586,
  15549599.691685773,
  15660111.217818974,
  15675035.837345269,
  15718112.337587453,
  15744602.718378833,
  15747903.022441298,
  15838601.65268993,
  15845865.42773845,
  15878144.38619588,
  15905049.618078407,
  16039305.189400453,
  16192863.571991121,
  16193703.700897655,
  16312137.715821631,
  16328157.8125,
  16395314.0625,
  16403824.730042895,
  16416638.164303714,
  16459786.159314422,
  16507169.932515519,
  16605627.380563937,
  16677575.366905356,
  16729382.898270613,
  16830415.85101534,
  16897611.567244507,
  16902471.532627873,
  17085691.44975192,
  17123967.82283848,
  17143458.58051739,
  17248738.14163858,
  17263421.23752326,
  17298023.405833323,
  17298605.28123183,
  17353739.01932866,
  17382848.073421203,
  17474946.61709059,
  17492407.142657526,
  17520110.13006502,
  17662961.366322473,
  17710381.66406351,
  17910894.73315239,
  18116358.719486978,
  18176323.085935585,
  18286943.045331128,
  18303592.974212606,
  18356240.936637685,
  18397080.732097827,
  18418437.499794323,
  18626959.240298394,
  18655816.112739157,
  18655826.313737966,
  18662408.564438954,
  18837529.968708966,
  19038007.187955596,
  19153172.845421005,
  19292055.204561975,
  19293122.82943564,
  19330155.772061702,
  19380829.170218706,
  19453640.517649587,
  19471879.55503643,
  19502076.958353613,
  19534640.56987128,
  19534700.6189497,
  19536112.970734492,
  19553523.73801672,
  19569785.390606493,
  19573353.58542915,
  19597875.72942162,
  19656078.340688497,
  19657597.20379647,
  19760372.06677061,
  19791356.37498422,
  19808990.44105246,
  19894482.462445956,
  19927760.09396846,
  19929916.219454873,
  20048410.395491328,
  20082997.560633246,
  20106741.45621242,
  20169052.403891984,
  20261624.17223573,
  20272550.470370542,
  20278596.90870545,
  20296459.375198655,
  20320477.92288525,
  20324529.21998578,
  20399193.23856425,
  20408229.87127758,
  20423914.24584747,
  20528852.16826279,
  20639131.13998952,
  20741399.98646136,
  20785260.72463385,
  20788697.570083477,
  20813402.210448913,
  20884176.28214291,
  20957303.160248995,
  21005834.403854985,
  21043916.13858683,
  21050827.0257161,
  21131352.028750837,
  21145364.368509408,
  21222661.778088447,
  21278301.17121575,
  21291677.299538925,
  21310678.957392246,
  21332943.032191657,
  21352241.477136545,
  21379591.682267733,
  21388095.84980279,
  21419163.892733008,
  21511391.50227803,
  21516872.049007084,
  21584134.253878254,
  21669375.37190728,
  21759521.56147797,
  21796773.595696006,
  21846333.584924944,
  21892235.8361974,
  21938137.19724806,
  21957893.995976448,
  22071883.956999913,
  22186271.07718604,
  22219986.43447375,
  22236017.4343691,
  22284991.818500657,
  22363894.552403007,
  22466119.81660796,
  22519591.75148196,
  22619598.94704829,
  22714748.490880612,
  22748516.52346591,
  22793643.63019104,
  22810487.524626102,
  22920476.859215662,
  22933210.443360392,
  22956778.146526214,
  22969354.459345162,
  23019006.03458791,
  23047749.78361113,
  23048200.67600972,
  23119046.700088743,
  23119403.38489236,
  23167141.611870337,
  23203626.798157673,
  23203728.147277296,
  23393445.2989399,
  23394988.008627992,
  23439066.408793602,
  23444160.06326075,
  23457493.254459854,
  23636655.051680107,
  23681871.222973645,
  23726179.478871007,
  23756418.714237545,
  23860004.937850006,
  23891350.932955153,
  23917609.67844896,
  23935478.65205851,
  23985605.632079195,
  24024070.177843615,
  24072808.59109868,
  24086463.33440842,
  24119279.284308195,
  24131060.03724753,
  24133074.25705504,
  24176527.931294475,
  24206252.76307516,
  24320239.01114664,
  24359288.198285718,
  24386090.901931264,
  24386108.31818029,
  24463182.1602585,
  24471547.54832359,
  24483837.712155327,
  24547376.487899978,
  24594774.3108,
  24719788.4854691,
  24800600.939189848,
  24869370.46477914,
  24931086.3151608,
  25046657.355116192,
  25048263.86789148,
  25059481.43269345,
  25191452.18825666,
  25238252.088914305,
  25310905.436021797,
  25363825.701677803,
  25390281.53516617,
  25391096.22428861,
  25452536.96388717,
  25465980.42056463,
  25493879.917770207,
  25505657.95397731,
  25630515.399626337,
  25675902.76528617,
  25693712.865625523,
  25708219.595789243,
  25715464.0625,
  25757672.352711383,
  25807796.776783332,
  25862845.80239462,
  25903240.122097,
  25918929.462848965,
  25943701.995352395,
  26047787.739117727,
  26297009.49263592,
  26343259.031170078,
  26359561.130671516,
  26460327.289173145,
  26504702.70272168,
  26505993.75,
  26531000.734788273,
  26539251.92104454,
  26556644.27061839,
  26611834.27466715,
  26612059.088383764,
  26640061.12573427,
  26652255.909560546,
  26682142.168580096,
  26698450.306352578,
  26725499.682696655,
  26727461.591627166,
  26842022.409185834,
  26881229.967262626,
  26895206.094069142,
  26935707.183402326,
  26940287.02984951,
  26965597.332689855,
  26977942.54233091,
  26989519.055840753,
  27001617.551682234,
  27017612.58767445,
  27045844.39160451,
  27085701.67639084,
  27091732.19321485,
  27113806.98650927,
  27122772.60361041,
  27132540.75683268,
  27137910.117787275,
  27164280.81091691,
  27193956.428542983,
  27200311.539212532,
  27274365.88731863,
  27382288.199222017,
  27511450.21352278,
  27557216.635869034,
  27748437.219590608,
  27759222.972508185,
  27766680.027719025,
  27865589.241060767,
  27875614.590974525,
  27907202.827504776,
  27917601.441007063,
  27929881.844679754,
  27979833.22250541,
  28078760.87741801,
  28188669.144430377,
  28237542.01434642,
  28237591.737699453,
  28381193.1257108,
  28404252.542542767,
  28488412.09111305,
  28531058.87562322,
  28538449.786531482,
  28676049.955059435,
  28685798.888447773,
  28727211.828704514,
  28819454.955088925,
  28852549.951430917,
  28896001.778731305,
  28942062.049774297,
  28947742.53051597,
  28948230.04281677,
  29027969.513080616,
  29065154.547169585,
  29088805.95565151,
  29123530.91369728,
  29152680.456534453,
  29163313.27896438,
  29195450.321058795,
  29242330.5666154,
  29257191.455150213,
  29269258.651898112,
  29426703.69690788,
  29473723.65173809,
  29532664.24823644,
  29534432.92396697,
  29534468.261093717,
  29584128.968009062,
  29598343.837555528,
  29647131.43085307,
  29713320.88662282,
  29759984.671364266,
  29763968.409978144,
  29771884.759346627,
  29807584.747706983,
  29874752.340030435,
  29888513.524649628,
  29902093.11093742,
  29924191.457534753,
  29930428.911032557,
  29940173.066069257,
  29995153.263000257,
  30067388.606577564,
  30126490.94885128,
  30166566.096598558,
  30182097.140797116,
  30212619.744877703,
  30218352.350932658,
  30407234.53591075,
  30407297.550524812,
  30434928.586102344,
  30450149.71523925,
  30457823.391624458,
  30459955.88532759,
  30472463.110639274,
  30515829.36299121,
  30541911.694249004,
  30571720.389231272,
  30624539.0625,
  30667518.5213724,
  30715199.363376264,
  30764091.135919854,
  30780625.749908146,
  30805718.75,
  30863355.8503197,
  30886118.382735122,
  30888914.754080854,
  30890605.73967317,
  30923316.97946889,
  30923324.189988453,
  30944677.779497698,
  30971377.872619174,
  30993128.26642975,
  31000686.750054263,
  31213820.214023914,
  31232893.386579417,
  31259945.67564157,
  31272512.914979603,
  31354454.271036483,
  31482881.620346487,
  31528320.178712018,
  31580254.62690206,
  31580287.374037042,
  31600886.777058933,
  31609232.509042565,
  31636775.808586035,
  31693933.262490503,
  31718763.830431223,
  31830856.040880762,
  31901813.53038646,
  31954877.21340593,
  31958548.23022401,
  32018831.71959862,
  32029112.396110993,
  32048173.650108963,
  32063882.227947865,
  32093111.55872497,
  32133544.636396483,
  32142739.32095187,
  32219655.76669686,
  32285856.774708305,
  32297487.361446653,
  32332940.534609728,
  32334058.473626107,
  32352863.329403717,
  32368270.043001615,
  32380313.441467084,
  32628347.689477593,
  32672568.69498259,
  32714246.417822786,
  32827315.02249091,
  32841196.312657405,
  32862243.227141503,
  32880256.25,
  32944415.869996637,
  33029246.45656156,
  33045687.81425546,
  33060581.448198196,
  33102434.780176256,
  33191313.057492744,
  33207268.07406849,
  33213743.135369807,
  33248761.62531962,
  33366217.723769873,
  33425017.894480415,
  33427468.24117314,
  33433377.955982268,
  33626574.891052864,
  33649715.55072529,
  33650243.913889594,
  33694535.70110297,
  33713464.71543558,
  33755455.42669899,
  33872678.64322051,
  33938189.94552547,
  33960822.16885343,
  33990563.629089355,
  33990567.92214805,
  34012935.554536164,
  34020091.94221111,
  34030564.873058945,
  34119072.590017065,
  34125460.04941125,
  34150647.41835611,
  34244067.44361916,
  34245116.75288299,
  34245320.86814754,
  34281459.2202726,
  34326559.26697927,
  34326628.57547273,
  34340944.16786545,
  34402034.81326883,
  34410737.015317835,
  34525235.31960901,
  34722944.32657938,
  34869868.88638999,
  34887350.1156256,
  34920653.63762391,
  34989304.82426721,
  34991915.74360471,
  35041111.12082712,
  35212616.19065872,
  35443048.7282996,
  35459707.48887161,
  35460057.510501035,
  35509311.03366362,
  35567124.05581433,
  35585812.33711034,
  35594091.653975815,
  35601972.05107238,
  35633237.835563116,
  35687625.47883116,
  35706739.29630743,
  35707785.36409454,
  35709728.765544154,
  35730628.64435554,
  35752968.944112085,
  35823197.15594893,
  35860161.72275501,
  35904376.7812448,
  35905085.06236703,
  35925019.84883279,
  36010540.955028884,
  36024558.02138799,
  36040252.630782284,
  36040298.165088676,
  36217395.9559383,
  36231421.52784989,
  36255898.446440555,
  36409112.92285446,
  36441876.298963204,
  36545152.755976655,
  36758981.62816305,
  36788545.23212028,
  36838948.3232355,
  36842211.33153691,
  36873746.76601994,
  36900092.39973786,
  36912366.07588045,
  36930945.56218344,
  36953680.873806454,
  36965676.30217603,
  37081392.921667375,
  37201860.6013051,
  37235412.5,
  37235422.81185165,
  37239928.81830495,
  37250560.59712637,
  37354589.76294858,
  37424656.004621245,
  37432639.468099095,
  37555166.91618258,
  37565468.20492484,
  37627955.24093704,
  37629113.42870129,
  37631405.72987784,
  37658516.587344795,
  37886241.600412264,
  37963380.24297171,
  38056980.46715201,
  38070899.1331245,
  38161896.46125049,
  38178992.63046703,
  38250308.04918781,
  38370000.73091035,
  38393415.30039864,
  38433336.57998272,
  38503174.833481394,
  38542174.90379019,
  38613080.68824377,
  38613982.346581146,
  38755831.37174548,
  38827316.96256907,
  38892016.12979973,
  39083271.42721773,
  39107652.321064964,
  39113312.96179016,
  39156434.260646954,
  39170242.81021816,
  39181931.70639197,
  39186203.18271625,
  39267931.91195977,
  39302252.38008524,
  39326586.01139452,
  39345160.505613856,
  39364592.04187467,
  39368976.873972364,
  39443559.22872338,
  39528074.870347925,
  39592829.802453876,
  39696934.69360864,
  39763314.787919655,
  39807562.718123995,
  39859312.01314399,
  39897168.17057158,
  39939409.72230715,
  40108210.887063526,
  40123842.28935922,
  40128889.69002098,
  40159404.92740761,
  40230180.91765628,
  40261007.72158357,
  40311250.45008274,
  40311635.015078604,
  40415854.6875,
  40432416.368775435,
  40454788.706165195,
  40473449.03239729,
  40544213.04750079,
  40589071.39840343,
  40594529.171984114,
  40776951.781244166,
  40827934.92801622,
  40855863.447011165,
  40884720.27716677,
  40965409.40081015,
  41060871.73954589,
  41096811.642712265,
  41112976.74400552,
  41115239.97752589,
  41119199.058563925,
  41150397.108431734,
  41242416.525389664,
  41259337.3446274,
  41311890.57524393,
  41345719.91917944,
  41348068.485282935,
  41383071.32859358,
  41407222.11675731,
  41442426.196169116,
  41491354.86681571,
  41586050.63037702,
  41674266.262156285,
  41685782.29509579,
  41715561.50373089,
  41795241.87888677,
  41834836.8264854,
  41868442.00096406,
  41881308.65268373,
  41887023.520843126,
  41897642.65472279,
  42030705.64618763,
  42052093.77787295,
  42099520.87258036,
  42152005.19659522,
  42176523.29761388,
  42200197.254003614,
  42229646.00390581,
  42298024.17820782,
  42298285.458339415,
  42446144.88447064,
  42492964.19927272,
  42570175.75619177,
  42613216.66590496,
  42671478.93744008,
  42771424.84655745,
  42781186.01102502,
  42811222.71568657,
  42816662.814063966,
  42862930.59848328,
  42903581.16701811,
  42917881.995767884,
  42935637.25067355,
  42936976.93525175,
  43034589.20351872,
  43121802.14801974,
  43245728.94831704,
  43280454.76552352,
  43328312.81107225,
  43414289.25088767,
  43496823.4375,
  43516967.28145482,
  43545607.58738491,
  43553017.17064559,
  43690609.64445191,
  43696745.376161605,
  43834165.82334505,
  43835230.950196534,
  43850900.149860665,
  43890095.64605048,
  43899884.581540905,
  43928261.12522656,
  44001736.77261055,
  44023514.78971655,
  44175520.97897391,
  44275188.80375928,
  44303230.96821625,
  44353153.41308404,
  44372873.65862588,
  44373792.20087674,
  44374929.80914848,
  44464214.583471596,
  44506812.70197797,
  44656813.49008176,
  44720540.9644882,
  44729664.22424304,
  44804138.495154575,
  44822270.33875667,
  44875885.96355426,
  44877326.69214854,
  44929306.56540876,
  44953208.85913974,
  44954015.53077158,
  44994631.89987091,
  44997925.930317916,
  45085604.509122476,
  45223465.613583714,
  45228298.584866345,
  45377831.99252778,
  45462003.26317654,
  45472262.40016604,
  45479598.55638643,
  45539484.18275755,
  45575594.62144824,
  45578375.83808448,
  45631338.782671496,
  ...],
 [15.625400081969238,
  15.521282612265743,
  60.86114308353108,
  12.95819660593517,
  13.817025329300105,
  20.251387594909357,
  22.470241778901844,
  17.740467713594605,
  5.076142531008767,
  16.450885660861054,
  18.38086416830192,
  23.412920358201443,
  21.78625240578642,
  10.134848343129647,
  16.84090311526964,
  16.66111125343458,
  17.700154915871302,
  12.947531265120555,
  13.792517964209022,
  20.042599691438696,
  26.531558451722283,
  25.356044774386387,
  26.96355387023538,
  20.32393258506874,
  17.88849343729982,
  14.297049344575457,
  14.220847206504867,
  19.26829033555858,
  18.509279745337555,
  11.047424946836237,
  9.936269536852468,
  9.937381145926024,
  17.591251170464016,
  15.129704859561695,
  18.572444105624196,
  14.73311181651916,
  14.91931966834835,
  12.159702178009907,
  13.381756855050929,
  7.4286814092095526,
  25.835850593382133,
  14.278437899430397,
  20.896226872154713,
  16.101644244694498,
  11.858479173477877,
  16.560133716841218,
  17.092381909605123,
  15.451754433015862,
  14.68416242763107,
  18.974496018192685,
  11.31172068936697,
  17.10086662416802,
  16.937758399909946,
  14.342063403118603,
  61.16612739801424,
  15.27425634053769,
  13.161902893853156,
  13.453148586264078,
  19.751854481550758,
  13.465676822906893,
  17.388628952282588,
  28.136993530185997,
  17.790357521840658,
  14.566292932590956,
  19.285351439831587,
  14.708387463285465,
  15.898462995423763,
  16.233313506328642,
  29.33238139935813,
  13.084517471029464,
  15.21773059741272,
  18.777939729835726,
  15.678297920935918,
  28.671811461639493,
  14.239136676967718,
  15.867571090133163,
  15.67761133629839,
  23.13951605176799,
  11.399298735870156,
  13.36469053313154,
  19.73643970164025,
  17.908792640304767,
  18.332201037979686,
  14.909265768068138,
  10.72105908478586,
  20.97447394287884,
  17.32309458770946,
  5.82800754851369,
  13.165995484025295,
  17.756084045823812,
  13.290095291003945,
  16.65790072202417,
  23.71941571784213,
  20.81823491261195,
  15.339454948239124,
  11.9423098954258,
  13.91851638146011,
  59.59642486110475,
  23.615134488485637,
  11.302669137099109,
  17.41417801262494,
  12.87997245671887,
  16.039405471929975,
  18.744360804496935,
  10.421223664006307,
  11.418457454482946,
  22.649675942396833,
  13.490483291933304,
  14.883169659963205,
  9.24344239674897,
  17.458139362001592,
  6.941108898534062,
  13.41435582461195,
  15.322470182953172,
  12.978608728867785,
  17.99646167439183,
  16.797593224093937,
  22.766626607861042,
  17.214098814648715,
  42.47247081348203,
  17.137270960907518,
  16.44947772932613,
  17.827047352459314,
  12.632199074540049,
  17.169761022598944,
  14.956423054193001,
  21.667741362844765,
  19.484866459167506,
  24.099168846415616,
  61.283207561861296,
  25.720087569936094,
  21.874556076610748,
  12.438918494627954,
  13.871158206732783,
  25.59301763723204,
  11.070901490929153,
  12.86564643483647,
  62.19824904073326,
  12.900581716776582,
  20.8118057571023,
  18.68343801871196,
  120.20640205500403,
  14.071177883136563,
  19.27042389025145,
  7.100740106915321,
  15.635776648560359,
  10.72500614182724,
  6.667392049059146,
  21.48803524915418,
  12.85031695195118,
  13.197119010084194,
  18.897746063733393,
  17.321014289774293,
  7.092081036475082,
  20.896283479300184,
  13.412157310044378,
  22.494101197099646,
  22.60449137414949,
  12.085568762393196,
  16.01704018012291,
  21.619320758990927,
  18.681742728906936,
  27.052040782494082,
  18.73443591116034,
  14.97538533898754,
  16.977049580206852,
  13.090402559937235,
  17.935122330436435,
  18.226754852636606,
  16.75507341942945,
  60.80291004917804,
  15.8545659739796,
  11.94902548825665,
  15.048695699789803,
  24.03332304329515,
  13.122475824725196,
  61.96735545605493,
  12.443961156513524,
  12.97087497948691,
  13.515855581977242,
  18.779480392936975,
  19.361008056134445,
  14.844404965788343,
  9.188007798265705,
  18.300457796612974,
  11.67525595138734,
  14.159965039375104,
  10.99882194656285,
  14.818336368147929,
  12.733351554265777,
  12.727915603370288,
  13.809229949371348,
  20.005975726618402,
  17.80185450306469,
  22.355952530254537,
  15.799303218054593,
  15.64201281156295,
  20.604147136693747,
  25.134640118393484,
  17.190303219223416,
  47.28903583803573,
  11.88002642111247,
  16.318033911852584,
  6.968012241936015,
  14.762202906677597,
  21.169162683205272,
  11.974372058364235,
  16.636755941845202,
  11.693022741052165,
  17.302267744968855,
  23.73642541048077,
  18.04828492815462,
  14.593004161967139,
  16.20020870394224,
  12.408316443313579,
  17.511663264674834,
  18.128668968179667,
  60.17048203958947,
  23.96490136689931,
  8.25658511419773,
  13.98778576770613,
  17.67783610421461,
  12.0584686094246,
  8.932195446158454,
  21.130510311320037,
  12.985542490985926,
  10.891254995109879,
  15.068597315142105,
  12.629573853621068,
  12.817010367270964,
  10.999924384902105,
  15.958566741108353,
  16.624881613141895,
  17.569491075886965,
  58.67116815028094,
  17.056371636514793,
  13.559166639832473,
  15.663709164827399,
  23.59597848814039,
  15.37198303897983,
  15.339116147620356,
  54.51220409253111,
  19.19018939008411,
  56.37508977032847,
  18.304592031947795,
  9.543689208767011,
  15.586276290599521,
  9.9965232835678,
  19.95930556611989,
  23.9700449682314,
  58.423784054146736,
  31.208637457024963,
  10.84491281588996,
  19.416980115959678,
  14.723303854129803,
  8.684662570118384,
  21.69533027343483,
  14.031049880047197,
  14.01140881266859,
  17.581437048676914,
  53.89747482229015,
  21.30835518582496,
  16.695801860958348,
  16.399365405284275,
  15.629870208113894,
  16.322861949625892,
  24.696271114919128,
  17.96842631552412,
  16.206333195392173,
  14.344667726191476,
  13.232779446144647,
  17.26784974352722,
  13.874430486997525,
  14.406686417648677,
  13.167245433044359,
  21.105461633993492,
  15.942901155119493,
  18.76337986445489,
  29.40061907380559,
  13.592277499116495,
  21.667151861781615,
  53.46489880048042,
  16.290924208123137,
  9.533904584977385,
  10.800613080528699,
  17.644118777767957,
  16.448105755148784,
  11.81271065267751,
  26.407222698726024,
  12.860310160394626,
  16.0975414117108,
  15.366647276681697,
  58.368393316159555,
  21.33551542755858,
  16.968533049598474,
  20.512933838330305,
  7.010328766644452,
  20.422852046249005,
  16.95547213499956,
  11.55694264711855,
  15.184651457915209,
  7.822256457518399,
  15.846598019324704,
  13.934018100909613,
  12.298071106143835,
  11.242968685090688,
  16.776235148251786,
  18.490509697555318,
  16.787587251332432,
  14.981195634066879,
  17.186442253915693,
  14.57990856835434,
  5.7053068995269385,
  15.335924557799922,
  22.5357252688489,
  14.92182289183951,
  17.747472922344922,
  12.335543796697985,
  20.225712459461448,
  19.315405093033036,
  9.70896671532443,
  68.02728829522218,
  15.917200930009983,
  12.2542349817453,
  15.863572518668219,
  6.3049069408079745,
  13.216051759265696,
  7.776456974626184,
  19.430252971040098,
  11.167236121017618,
  20.532524048035945,
  19.324498653305138,
  8.857920926776403,
  16.372564735863048,
  17.420363360819923,
  13.52593812890341,
  17.767663120953745,
  12.676064351116423,
  17.621439489341654,
  14.290667314959382,
  11.637648286884392,
  10.223895103990406,
  11.537047680570366,
  12.896679295867688,
  16.01171658171561,
  9.819465666723731,
  13.911926055918936,
  19.729032440142934,
  11.451944795309876,
  14.576348335663884,
  10.765272517413786,
  14.469312879123914,
  20.387388871157444,
  19.357200512847605,
  20.830984806895565,
  13.473088007550032,
  13.86454154951159,
  15.823784983083721,
  19.163545425047168,
  12.605299323278443,
  13.198500189090428,
  20.293762548165972,
  16.129657497441276,
  17.277017424799645,
  10.882993003451979,
  22.47808232410465,
  14.564500262769684,
  19.28257283195719,
  25.158223806290437,
  20.500168279822482,
  16.848412273223225,
  14.699291828682558,
  21.588304611643498,
  17.709475900763962,
  9.520812468311192,
  48.96359595160427,
  59.178350824000155,
  8.148798737028004,
  18.26765348623769,
  15.860201241928092,
  22.780129672617793,
  12.702991547981402,
  28.66939962165186,
  7.634556853717999,
  11.500368730323125,
  18.043995667092332,
  13.779529023310655,
  19.40946783560073,
  18.079709953998538,
  18.984934266670834,
  18.527675646916624,
  10.725707832010208,
  11.078567887590452,
  12.202638189751099,
  16.503882379426877,
  22.96533678191226,
  14.041870504778684,
  12.883772359972225,
  19.926257566915016,
  16.034396579366984,
  25.821456654229458,
  21.531089840516962,
  20.070415284837434,
  63.43182737762328,
  19.668544554405443,
  15.55829147635183,
  11.652454185762059,
  8.928785315354142,
  19.470048771192474,
  14.451798079974436,
  25.450481239670435,
  10.759932331104308,
  18.868936880180232,
  16.133853907608337,
  8.85380827547451,
  19.865021452552035,
  15.0706863285037,
  13.039516475201367,
  15.875933184381068,
  13.278964517150461,
  7.564866910628467,
  14.459564756826996,
  14.175716319867512,
  11.042616711860072,
  9.916012957707212,
  20.620553784686713,
  17.0443306966843,
  14.115158219579662,
  16.617111062488682,
  12.497862416982523,
  11.48245204923746,
  16.362667119130382,
  15.72655718862725,
  17.850939978627405,
  14.283865432028932,
  16.888086277416036,
  18.63672648938104,
  17.822901845348813,
  13.21244802545714,
  12.400198040257353,
  19.043757675552946,
  12.75870080373338,
  18.74684202235306,
  17.099087299987886,
  18.186480573411558,
  17.403597253836786,
  25.949164635808486,
  13.415906281785256,
  13.294834940136909,
  15.691522196675262,
  15.689643057654687,
  9.902134531283505,
  12.971373111650779,
  14.890156342637038,
  24.645328656851174,
  12.421077269892423,
  18.16090691906731,
  24.004937860474357,
  13.791994498384883,
  18.897750028922474,
  17.342193134859038,
  17.059715340426134,
  17.076386249697286,
  16.25200365106913,
  17.885830067790025,
  9.021103433075789,
  7.329682465921845,
  59.885533874757286,
  19.564577086900464,
  12.78460998905703,
  16.96897542125634,
  20.80653962447537,
  14.331647877635703,
  19.82505223859787,
  15.648987884809603,
  8.223548121158442,
  17.27677496310433,
  13.867527858970924,
  20.96971263142923,
  10.082778882116994,
  21.581697580637307,
  13.90080077022048,
  15.969978272508776,
  15.06858896904554,
  18.96074849766773,
  20.61072266143993,
  15.974073999771996,
  20.041069168385782,
  18.32366338386191,
  20.246798064285723,
  13.765099221624283,
  19.257716037106952,
  15.14895112533583,
  19.999249190535025,
  21.015687504586815,
  15.036210761531947,
  11.62548625566729,
  15.970445852007114,
  11.161521190420052,
  13.289205684606857,
  49.805280827062276,
  14.176251384950683,
  19.01098276271106,
  10.864889466315026,
  17.816796713426463,
  16.000596664795292,
  11.517179106882367,
  5.399326355639911,
  16.541143695146033,
  17.313828672908983,
  17.058748249039677,
  5.866723464133697,
  13.33827714907416,
  13.804349710729348,
  12.928112296194348,
  24.992532745799537,
  14.806929466413145,
  20.916069548023792,
  8.850352655113944,
  16.93015618732187,
  17.41988056349271,
  13.01428872139166,
  14.451954890560934,
  19.062288332461353,
  20.584684415339055,
  22.51641363915022,
  20.71934405576905,
  18.355867865361773,
  13.19077513482295,
  13.720807243057699,
  8.259606230078225,
  12.428176817945088,
  7.196202311164499,
  5.216499434753085,
  12.927574111063796,
  19.224975564902117,
  15.816893864156786,
  14.664593634209195,
  19.79277785246079,
  13.11991403497516,
  16.912569487810206,
  15.555531493601828,
  16.607043445459286,
  13.808619451742697,
  14.24824220161588,
  15.686786849931707,
  18.018648687831554,
  17.41614448706147,
  18.84452022485934,
  18.517890463803727,
  14.664501791590553,
  16.49940872846,
  34.74081701382299,
  18.73509110655804,
  17.007156798744855,
  15.509642870514872,
  14.146857618144173,
  20.62289794221074,
  16.54593637108812,
  19.573207852706897,
  65.57107783211812,
  20.25732295974953,
  14.579917501317963,
  17.207781608475038,
  21.464190052196482,
  14.162932494451276,
  8.529556672101862,
  15.938604558148015,
  17.191987352215477,
  10.62968892309455,
  14.851541410025906,
  16.658195777744226,
  17.660017830108462,
  59.49500414459169,
  18.747211804184555,
  19.30920623366566,
  8.582514575748705,
  10.974419843705181,
  23.923219510310474,
  11.435252967454144,
  13.785373266315853,
  8.27659744251287,
  16.267819245452905,
  10.665496169199391,
  18.185829873651805,
  12.079719849201277,
  16.127035767780917,
  14.378714326326454,
  12.985857683644193,
  55.03473433407183,
  11.927338737107139,
  9.650605866433299,
  16.251192194387986,
  24.266705908533673,
  11.267569872950707,
  18.1199365386249,
  12.58056431443661,
  10.28048119309805,
  18.75933428731257,
  12.496031619875675,
  21.721505651877656,
  18.803729119801954,
  13.496037949477838,
  15.668694501844824,
  15.304578616943989,
  16.045420237661727,
  18.501172218469677,
  58.76034125746778,
  20.993064914850116,
  13.970571657183537,
  13.422958833423685,
  16.418916867122952,
  11.41877055756109,
  17.42810027557322,
  13.917125280326328,
  26.334363672481157,
  17.824288158229397,
  17.532290808606575,
  18.641987605362054,
  19.216241027287207,
  10.867429292011318,
  8.97798169529188,
  19.07592469567472,
  22.380120252635912,
  21.778063926956857,
  21.49931943957233,
  14.185843294724952,
  16.876687785426242,
  16.992763336965407,
  10.2188496404392,
  16.069959091791976,
  16.208305132742375,
  15.835129098273814,
  18.670979856880933,
  11.7098189214209,
  17.096249707174543,
  12.574557750547669,
  15.544486358928307,
  61.26787067669342,
  13.797906760737641,
  16.22758889287992,
  15.97815472270565,
  16.324859985127304,
  15.82894535999572,
  8.780461453467238,
  10.158717304714365,
  18.240219471607173,
  11.479942823649223,
  15.700088312533184,
  11.306524369411678,
  12.666432454808099,
  19.55136512850479,
  15.286072759654425,
  15.67875729269054,
  24.680790377397802,
  19.227473187401685,
  19.710203635901145,
  11.786765394537115,
  16.061387836255875,
  19.05444190046464,
  10.379617644093889,
  8.84378988668788,
  22.0345315675877,
  10.098047281351906,
  10.592859185474934,
  15.5438408016126,
  21.944362516189162,
  16.338476923256103,
  15.70439259489238,
  16.061604790456098,
  16.881340985970645,
  25.246283323801222,
  11.388893593866047,
  5.053114567853907,
  17.048129474346315,
  9.10169480485404,
  27.648543375421387,
  13.71261405936077,
  17.923407066378395,
  13.833823262928854,
  10.065289725457916,
  18.259371876331123,
  53.388325170262085,
  14.136255631573762,
  12.966818068937698,
  12.032730213313314,
  12.5443719358506,
  57.85680446568479,
  13.609460083836774,
  13.704896494615939,
  18.449404696218647,
  10.413875984922187,
  17.893030598074116,
  18.872870890976987,
  23.364748559451865,
  18.00715034155499,
  19.947296557987016,
  12.689941415831006,
  17.39049316452356,
  10.60350323752909,
  17.83231750860698,
  51.23447137897289,
  14.565957222296227,
  16.569833565242785,
  14.45496719946274,
  16.426524454496537,
  14.482191692864822,
  10.158902066944632,
  10.68434858448077,
  17.94014679584418,
  8.539793744540514,
  14.125068474919416,
  10.815849685083286,
  16.115463884581665,
  11.611598628342886,
  10.818473332083942,
  17.094827582786888,
  14.559786044028174,
  7.681988392236018,
  13.100292906218856,
  17.989958562595767,
  19.899542733881376,
  16.027481527697457,
  13.372008602463234,
  16.394735102995732,
  21.314620461215675,
  14.095781815406013,
  18.246784651466253,
  28.679514769914917,
  14.005015601200855,
  20.36511211243776,
  12.694492357564512,
  24.587148696744134,
  10.481142274551077,
  20.528037531703138,
  20.892953850914193,
  15.835714979492403,
  60.896270025447166,
  16.44179632069716,
  22.34722533642494,
  21.41262844333588,
  17.115107701470283,
  23.603062238745316,
  24.268206124225458,
  19.900954761236726,
  17.57509983691407,
  24.87990653062713,
  12.083956941596604,
  18.554123987311204,
  6.036737176847612,
  14.334185341921986,
  15.90072095998313,
  42.61380408482101,
  18.38094307710504,
  10.39929810002832,
  12.328780924809314,
  18.77832120071605,
  17.36880995390133,
  12.681776717312452,
  16.193798095594587,
  17.486586119582473,
  15.316183221993045,
  20.898550277209416,
  10.764792699970993,
  10.125772970597033,
  12.465474833715806,
  7.310785822426203,
  17.515113920527206,
  16.016686153480332,
  10.51014680805431,
  19.950747435427896,
  14.382829110813457,
  9.241705735006597,
  5.979619537516025,
  13.266552426482228,
  11.889601642222935,
  13.368194683197904,
  13.014364806437177,
  12.166832755254157,
  15.488160594041853,
  16.194497919092335,
  17.336675565040125,
  15.489750623368952,
  18.20211090616216,
  12.209504711294324,
  12.144205415285784,
  19.203884435750897,
  16.237034076394046,
  13.903135692890244,
  22.248404439506718,
  17.971594723665465,
  25.675798191635124,
  6.987928191566206,
  11.414543037372713,
  11.32392971461831,
  17.145962937568278,
  15.914429731783695,
  8.889454649803374,
  18.1131127357728,
  13.599468224725811,
  15.73686130648982,
  14.394560545212432,
  28.078319072538182,
  15.846402943182037,
  5.264799349042435,
  21.86336102618344,
  16.36871086122693,
  15.802318042058666,
  15.399774653291239,
  10.727031562175032,
  8.658910140627652,
  13.765111784462393,
  11.141710286256476,
  5.5539610891093,
  17.759694194829184,
  13.699668915550607,
  16.609606836090343,
  14.643741738022756,
  14.52316680861784,
  16.691179482217432,
  10.961532024880821,
  28.291872614328213,
  11.914064493862542,
  26.334403703634123,
  22.82393655317666,
  14.034168631234705,
  12.50858948773773,
  13.79823387109882,
  46.3660170675662,
  10.272871640949646,
  18.461052054894356,
  12.573507807306019,
  18.774137887494195,
  14.082037555969707,
  21.986005033438346,
  13.999256160000828,
  13.20426808065657,
  14.926448729753305,
  57.54307827953372,
  10.401639377377071,
  13.640655082790271,
  10.31928613059809,
  17.53329990471927,
  13.462951343830287,
  18.47675244219154,
  13.568640431258519,
  14.969923694127946,
  15.927529997017931,
  11.745615106458304,
  13.833540287372799,
  18.50542617407327,
  10.877034593623025,
  14.58705896836374,
  13.160033696338267,
  21.839951039096043,
  11.323488718584851,
  14.148301912971709,
  12.020464162423954,
  13.471369995276143,
  18.91651677468152,
  17.051897181970414,
  26.452081699604722,
  12.263896670489908,
  9.749618814252136,
  15.166156715952786,
  12.34836455519763,
  19.354488000277804,
  15.230844902759268,
  13.51654701188337,
  14.414059737398343,
  11.65215432396412,
  25.059465676609648,
  20.360232520928598,
  9.430532151713452,
  16.312937781114766,
  18.681576318794086,
  8.405394454716234,
  13.362189044837475,
  20.735736407432405,
  16.454087298295445,
  19.49645243458161,
  16.089861112197344,
  18.029851245760014,
  9.542845593088689,
  9.065355401433454,
  14.605943437533492,
  11.912512474450633,
  12.301044465582141,
  52.65465064602904,
  12.530393656009506,
  23.05686143268572,
  13.671880314017514,
  17.539554427042265,
  13.390602805190447,
  21.339704822388263,
  15.846400094504117,
  17.57221900043614,
  5.668675229681585,
  57.9931733520274,
  22.258479744896388,
  14.44918931645287,
  18.542021420696308,
  11.423779931021057,
  10.246918262567775,
  12.260375009923196,
  15.912723219028559,
  12.902959413036703,
  14.380622663168417,
  11.050815394055999,
  5.383647660210955,
  14.020187048531474,
  13.200721631969575,
  11.527853960180218,
  13.707675454995119,
  20.931597999964417,
  18.04802457531077,
  18.091355667790225,
  13.278631403547646,
  12.14538770626494,
  13.882664238710694,
  16.94927320141223,
  14.27519287654094,
  12.75579717547296,
  15.268983504424368,
  17.081734759695184,
  13.050444876809301,
  15.048823095999822,
  12.132697577091122,
  17.3164959301796,
  5.526329725001152,
  22.197781056290378,
  18.448223236504706,
  18.78899405154293,
  15.595731019606271,
  13.617880501299975,
  15.489773881765087,
  18.899439614930532,
  21.280349571430214,
  12.689671399078373,
  14.387225896735334,
  15.22935885531825,
  7.9385045490485675,
  11.656857977375784,
  10.242136020919311,
  5.3953111602835495,
  10.053101697817024,
  6.062549628320704,
  11.76501727842225,
  15.507702973985797,
  17.76804905214276,
  33.31329281067839,
  17.229051849587712,
  11.651428669979941,
  19.961201936728813,
  59.72465753851706,
  15.312136444639782,
  13.542933584376117,
  28.19558504466116,
  21.31896401730404,
  15.189839495191393,
  15.7555367015846,
  23.753252411051708,
  15.109367853141908,
  7.211982031679973,
  15.7918703803895,
  15.708804348615436,
  12.743627376955471,
  12.49288776290135,
  12.358196870709655,
  10.746008804746284,
  10.714085743087644,
  23.6847090542892,
  11.491874518198458,
  6.766180073309168,
  58.883709471808444,
  15.953844766650427,
  15.771613602800672,
  18.29157609631204,
  18.422161010599318,
  15.596047184301373,
  10.343331524277325,
  15.042540984687104,
  18.212756157865204,
  15.459820279707628,
  16.297403083415407,
  13.282817397003045,
  14.681652827699851,
  18.173366740911074,
  20.268621314268646,
  62.77015734497752,
  14.898173681792873,
  15.552984500710613,
  18.801888689338654,
  27.99545642837834,
  14.574169579774352,
  18.730304499391842,
  14.256126275359952,
  19.77780004759995,
  12.750757124298628,
  10.716782137397846,
  ...])

Graph for home page

Detected energies during the discharge + Energy spectrum

multiplot(icon_fig, T_int_first,E,xmean,count)

Average size of interactions

size_of_interactions_average(Etot, Ntot,size_interaction)

Energy spectra for parts of doublebreadown discharges

#energy_spectra_doublebreakdown(Etot, T_first, file_energy_spectra_doublebreakdown)