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 = 47557
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);

([3233013.9140250813,
  3321376.8311738353,
  3428065.1836859803,
  3458655.1324540507,
  3503816.8799012457,
  3635331.958618449,
  4368973.2161615975,
  4408919.117295488,
  4542874.020265146,
  4582959.375,
  4752517.1875,
  4752525.794733301,
  5142481.9560898105,
  5450604.668318619,
  6161380.048681091,
  6363830.902915428,
  6460961.8809551755,
  6477008.25279105,
  6482229.6875,
  6787591.7960648,
  6885046.091704186,
  6892339.121473235,
  6909162.855879997,
  6935274.666269475,
  6940785.410760077,
  6943044.502127035,
  6944010.931768442,
  6985207.524875965,
  6992269.671740794,
  6992352.888216092,
  6996626.410805417,
  7002209.055700495,
  7051491.8113654405,
  7165832.8125,
  7248098.231787791,
  7376571.472490174,
  7405496.117537646,
  7411334.375,
  7415554.6875,
  7444448.4375,
  7485500.780946038,
  7502038.393101411,
  7516560.181794302,
  7519833.3421906335,
  7534424.50343928,
  7549162.01129896,
  7560421.334998123,
  7581364.221329675,
  7583266.489918689,
  7584190.6469802465,
  7590029.608043925,
  7592856.250669783,
  7593853.703000529,
  7595548.224272489,
  7630094.59702455,
  7691656.7334988965,
  7727232.753934512,
  7737746.986723361,
  7769306.746512506,
  7770790.922537088,
  7773578.9129549805,
  7776151.003824469,
  7778575.738324627,
  7779588.274519496,
  7779656.223256057,
  7779973.4355696775,
  7781026.010223399,
  7781156.25,
  7784093.321947347,
  7789554.097656806,
  7793258.962184034,
  7794160.614020299,
  7798642.769082712,
  7801487.074511141,
  7806321.875,
  7806331.464692908,
  7806355.246943181,
  7814948.432378801,
  7825221.934213687,
  7828109.532020055,
  7851502.378080915,
  7851617.628126985,
  7853900.380109773,
  7856906.103506417,
  7859489.2638893565,
  7860506.064220258,
  7860607.966027267,
  7862854.6875,
  7864416.187010569,
  7868303.617181586,
  7869154.4807421565,
  7939400.269274576,
  7941862.339110078,
  7943258.842758505,
  7943721.765642313,
  7961310.857752979,
  7963616.223074091,
  7963682.049387319,
  7966157.8125,
  7966174.2849649275,
  7992090.491469208,
  7992130.539610196,
  7992145.127842469,
  7994483.147431004,
  8012618.058495002,
  8047045.699160907,
  8050591.1022414705,
  8051823.4375,
  8086018.714566769,
  8088326.5625,
  8088337.5,
  8088950.816872239,
  8109211.292808993,
  8124689.0625,
  8129772.156391129,
  8130285.198473332,
  8131259.375,
  8131288.343555778,
  8133355.774360011,
  8133627.692469166,
  8134562.449105601,
  8134696.756457215,
  8137156.345179058,
  8137594.734681209,
  8138893.135247831,
  8139011.909534397,
  8141071.23950463,
  8143863.279555096,
  8143874.457727621,
  8152091.569980802,
  8160473.938338766,
  8171183.763650514,
  8172234.461362576,
  8176185.253678948,
  8189730.6978832,
  8200637.063957189,
  8204663.5040146895,
  8205502.589752843,
  8208140.005250864,
  8209112.226490783,
  8209651.872369857,
  8217002.084437568,
  8240131.25,
  8240668.269413767,
  8252270.987930395,
  8254272.684478908,
  8254650.704441442,
  8257767.499084245,
  8259050.193844789,
  8259216.217422527,
  8259640.443787685,
  8260749.78576074,
  8260763.6960945595,
  8261341.292547931,
  8261504.005878937,
  8262642.48172328,
  8263352.411057269,
  8264463.414615074,
  8264466.439408646,
  8267308.928667781,
  8292415.625,
  8292612.847665795,
  8296852.306463504,
  8298608.638121104,
  8304151.776502148,
  8304659.309761082,
  8306600.0,
  8333970.378804845,
  8368593.617080717,
  8374611.844988256,
  8380529.243942817,
  8380581.4489606405,
  8384879.6875,
  8385965.3768406445,
  8386427.447156576,
  8391214.0625,
  8397220.481675802,
  8417799.531268734,
  8448939.74475347,
  8465539.183929777,
  8502637.37260476,
  8515618.22437106,
  8534123.53778725,
  8534131.25,
  8534132.828799699,
  8534389.54929583,
  8534426.333972983,
  8534749.204348268,
  8534870.152715217,
  8534899.39367399,
  8536173.4375,
  8536697.7878412,
  8542320.816391256,
  8550606.25,
  8552895.3125,
  8553366.769440502,
  8570514.858200673,
  8573509.626711197,
  8575162.395715958,
  8618951.12405528,
  8622502.596516423,
  8641650.824270463,
  8654907.98279311,
  8666395.3919078,
  8671830.150248123,
  8691245.3125,
  8724481.603707997,
  8729425.99870146,
  8736994.745718043,
  8740348.942098439,
  8741016.432027528,
  8742972.188756896,
  8743906.25,
  8744051.5625,
  8745237.5,
  8746761.711871257,
  8747076.605535617,
  8747323.96844191,
  8749025.825917672,
  8749648.268933576,
  8749731.25,
  8749784.329318546,
  8749998.379203534,
  8750786.497107377,
  8753118.75,
  8753276.5625,
  8754225.039100407,
  8758660.427760988,
  8761202.169643525,
  8764819.592378609,
  8765633.502133092,
  8767293.150368474,
  8770387.5,
  8781651.864042358,
  8782076.19002139,
  8789647.834206214,
  8795615.197575603,
  8795955.512831446,
  8799055.938123321,
  8799913.865468612,
  8801668.159457052,
  8801690.676210726,
  8802707.392839836,
  8802842.965565382,
  8804848.11791955,
  8805235.9375,
  8805437.12334303,
  8805630.424942879,
  8805724.199926523,
  8806596.73425239,
  8807102.680070193,
  8808009.375,
  8809940.584604535,
  8810851.452539362,
  8815871.875,
  8818608.884540554,
  8818860.724158168,
  8819638.156271096,
  8819896.521851895,
  8819973.792353176,
  8820038.939174999,
  8820135.302882578,
  8820171.606771268,
  8820917.504369918,
  8821250.148823164,
  8821484.769404862,
  8822044.992471399,
  8822526.771812173,
  8825414.0625,
  8826239.662623642,
  8827887.535117036,
  8828182.691659972,
  8828572.954331461,
  8828869.51577012,
  8828980.782905187,
  8830894.48835677,
  8831090.63213368,
  8832059.941415792,
  8832450.812599106,
  8832562.15069245,
  8832592.558574269,
  8833054.60115438,
  8834643.620174464,
  8836631.22501631,
  8836787.363480056,
  8836909.199321382,
  8837003.179799723,
  8837053.090088129,
  8837462.140774475,
  8837534.830936218,
  8841916.87264134,
  8842452.552645069,
  8842611.837802805,
  8848834.048810659,
  8854165.250310058,
  8856934.36354739,
  8860636.256806687,
  8898593.937865017,
  8969998.4375,
  8978053.412094675,
  9000733.4410982,
  9001331.18016514,
  9019642.714211997,
  9020767.562641865,
  9025337.763381815,
  9026603.023277877,
  9030803.125,
  9045420.076069359,
  9045993.382991709,
  9046752.029367786,
  9047052.216470782,
  9048098.985978182,
  9048635.838129787,
  9048866.43791041,
  9051562.974740567,
  9052934.438907275,
  9053129.95455544,
  9054703.73911806,
  9057800.056608088,
  9057860.708867833,
  9060303.963325,
  9061085.256793043,
  9061429.290222082,
  9061429.6875,
  9061461.09756447,
  9061774.401642838,
  9061847.375721332,
  9062310.063613992,
  9062738.400792863,
  9063205.411271421,
  9063299.765817152,
  9063310.81209359,
  9063338.337652722,
  9063373.4375,
  9063485.022214526,
  9063563.081038544,
  9063726.182186311,
  9064385.67920198,
  9064741.97510296,
  9064984.040431818,
  9064989.921565285,
  9065038.869751832,
  9065104.912964983,
  9065108.846995996,
  9065179.053492995,
  9065541.423584696,
  9066336.605863985,
  9067582.722445909,
  9067860.901049158,
  9068064.721346086,
  9068151.139111836,
  9068174.207655307,
  9069435.9375,
  9069512.442741236,
  9069786.821189787,
  9071896.875,
  9075385.841305528,
  9076356.342602447,
  9077674.149749067,
  9081356.529013125,
  9081386.322102064,
  9082689.0625,
  9083423.962792423,
  9088532.489495832,
  9088595.443452025,
  9088811.281985108,
  9090245.174854012,
  9090413.44465371,
  9090737.584975457,
  9093558.2259565,
  9094866.2822362,
  9097048.392086647,
  9100984.376558373,
  9101742.507188633,
  9110086.02213608,
  9110215.861296006,
  9111081.835944122,
  9113646.875,
  9114900.129392302,
  9115753.64408219,
  9116252.992847368,
  9120698.956502657,
  9122367.015767109,
  9122443.522848228,
  9123951.055116685,
  9127178.368988808,
  9131385.91933831,
  9131599.043632174,
  9131851.507917011,
  9132456.042562384,
  9133054.952653427,
  9133311.191727933,
  9133519.71178468,
  9133563.666152237,
  9133638.284189487,
  9133677.201434152,
  9133724.054739807,
  9133978.980960226,
  9134047.657352872,
  9134093.679160075,
  9134207.287560828,
  9134244.2005149,
  9134508.477133758,
  9135135.480876308,
  9135321.732246215,
  9135328.873413093,
  9135408.190135494,
  9135431.062252875,
  9135468.690885646,
  9135602.949695347,
  9135630.735049129,
  9135656.332390849,
  9135722.26052726,
  9136136.545006132,
  9136792.1875,
  9137693.361228433,
  9138006.836163647,
  9138234.614940744,
  9138377.060128076,
  9138463.663285078,
  9138754.196968952,
  9138905.753662469,
  9139011.227502145,
  9139055.917157872,
  9139273.656781388,
  9140546.656806806,
  9140820.98300576,
  9140831.689182393,
  9140845.985688593,
  9140968.75,
  9141113.541866742,
  9141441.757338975,
  9141639.194019185,
  9141785.86941609,
  9141875.697919378,
  9142219.983198155,
  9143118.24791698,
  9143289.05367514,
  9144057.670461118,
  9146651.678423055,
  9147465.56743143,
  9147522.410309326,
  9150828.128622096,
  9152289.806162927,
  9152712.720983043,
  9152715.01670412,
  9157782.711243823,
  9159035.54795841,
  9162191.38039462,
  9163543.069967419,
  9166659.198111193,
  9167269.509258002,
  9168678.416968424,
  9170448.256156959,
  9171452.23061948,
  9171512.054804249,
  9172032.18093175,
  9172464.746643985,
  9178327.38215391,
  9185640.706681868,
  9188999.996080643,
  9189438.082434218,
  9189508.436068809,
  9191575.0,
  9196368.34795132,
  9197413.878919052,
  9197737.730612384,
  9197906.50641203,
  9197928.468415126,
  9198999.657278,
  9199307.021354578,
  9200160.325447667,
  9200511.263294082,
  9200687.605309706,
  9200744.416869305,
  9200760.224418378,
  9201405.765267583,
  9201495.94502709,
  9201641.651878066,
  9201981.300540335,
  9202329.20564891,
  9202695.526400395,
  9203135.018261893,
  9203275.589275328,
  9203488.687114453,
  9203676.082337333,
  9203934.068540467,
  9204045.094933404,
  9204120.902099473,
  9207425.825225161,
  9207452.122217655,
  9207459.842732646,
  9208392.701927505,
  9208398.766716704,
  9209738.491268842,
  9210039.007134072,
  9210374.684888413,
  9211839.833767463,
  9212535.263576489,
  9214410.9375,
  9215071.298196618,
  9215749.034778615,
  9215808.78592295,
  9216676.168056343,
  9217436.830968352,
  9217787.5,
  9221249.86892611,
  9221374.269831069,
  9223530.54375369,
  9228221.638904104,
  9228910.266655196,
  9232265.161359984,
  9232875.44692498,
  9233653.888344515,
  9233891.733726917,
  9238155.1327243,
  9241921.875,
  9244323.4375,
  9245061.445485434,
  9247386.824218012,
  9248458.000659028,
  9266246.038367841,
  9266704.914655933,
  9267234.353688791,
  9267289.97525474,
  9267746.991781147,
  9267911.058628185,
  9268407.979739064,
  9268612.021076534,
  9268812.179856334,
  9269020.86828937,
  9269110.377373878,
  9269421.966504209,
  9269500.295639,
  9269573.173828235,
  9269580.84466448,
  9269595.869348286,
  9270011.98133402,
  9270013.167642487,
  9270724.470046632,
  9270760.602526162,
  9270842.194141574,
  9271024.745235587,
  9271039.378609,
  9271095.16150777,
  9271334.544940531,
  9271726.482023021,
  9271731.616629578,
  9272100.0600139,
  9272322.201988498,
  9272336.979254458,
  9272528.002736973,
  9273157.028312923,
  9273231.94155796,
  9273393.922074951,
  9273462.305427076,
  9273506.376306156,
  9273716.561161844,
  9273749.918576058,
  9275447.199875353,
  9275549.346317384,
  9275559.565056218,
  9275632.257597324,
  9276348.39212389,
  9276860.797711847,
  9277232.45729698,
  9277844.733515363,
  9278019.767059335,
  9279100.52663465,
  9280460.75267883,
  9281309.571012074,
  9281698.761228994,
  9312067.687432755,
  9321205.484599872,
  9330931.640617415,
  9332478.94277599,
  9334172.972011968,
  9334863.39826534,
  9339636.140963098,
  9341451.820489774,
  9342108.039017698,
  9342649.178492745,
  9345167.774061536,
  9346811.689485488,
  9348236.067031303,
  9348992.829569113,
  9349066.98423083,
  9349629.685970007,
  9350183.922122722,
  9352271.360745605,
  9352629.072814759,
  9353631.514192248,
  9358565.546575049,
  9361044.665440794,
  9361848.365465596,
  9362426.23120117,
  9362625.07052213,
  9363553.646693802,
  9363566.62024614,
  9364809.68892146,
  9365049.921008984,
  9365884.134365,
  9367116.132693894,
  9367754.17661156,
  9368760.750288827,
  9369429.231796274,
  9371014.466657773,
  9373179.70265381,
  9373344.08328889,
  9373937.203974664,
  9374432.534221534,
  9401739.843192851,
  9402859.714958427,
  9428928.125,
  9433525.87810384,
  9434825.865000451,
  9435678.850308161,
  9436784.375,
  9436827.829241434,
  9437244.347560562,
  9437947.583839368,
  9438259.579232141,
  9438917.1875,
  9439827.750069037,
  9440015.520039815,
  9440347.919949794,
  9440686.204969728,
  9440932.939594695,
  9441503.31661061,
  9441538.07162086,
  9443064.518973136,
  9443276.148069568,
  9443999.598603938,
  9444254.174625503,
  9444657.421174854,
  9449237.441594906,
  9451963.511329345,
  9452203.048697026,
  9453551.01487419,
  9456695.554700518,
  9458385.969844231,
  9460717.991942436,
  9460967.963105299,
  9461229.057193622,
  9461383.31124484,
  9461925.26805695,
  9462626.565054787,
  9463397.39175658,
  9467521.036352957,
  9467650.69449412,
  9469033.801254671,
  9469270.178061008,
  9469448.406159975,
  9470099.6787881,
  9470775.980294876,
  9471401.346044255,
  9471734.492652224,
  9471921.865494594,
  9472102.234576672,
  9472293.92822746,
  9472832.540603746,
  9472878.125,
  9472926.956474125,
  9472929.859635124,
  9473135.45078758,
  9473550.95061836,
  9473670.72082417,
  9473715.767057147,
  9473815.536137542,
  9473929.88770082,
  9473937.465053748,
  9473983.664924202,
  9474016.95634039,
  9474324.085611394,
  9474400.064048905,
  9474569.263813432,
  9474617.68624206,
  9474633.682975229,
  9474786.401550695,
  9474840.671847736,
  9475012.217462033,
  9475122.364122808,
  9475268.75,
  9475314.958168214,
  9476201.631339345,
  9476615.969091114,
  9476624.211663222,
  9476679.714582833,
  9476693.0837408,
  9476824.793638755,
  9476952.715514222,
  9476960.522554874,
  9477140.899254192,
  9477235.26483421,
  9477257.302348638,
  9477357.501335206,
  9477364.416730132,
  9477384.396980247,
  9477386.849903874,
  9477389.614359297,
  9477535.479990574,
  9477558.813226683,
  9477578.870933056,
  9477595.027369287,
  9477641.769942649,
  9477655.920600398,
  9477738.9159916,
  9477782.739977686,
  9477840.35555459,
  9477850.366978643,
  9478120.651403582,
  9478131.166407237,
  9478203.590993093,
  9478222.195215868,
  9478318.938812746,
  9478459.986562504,
  9478808.48527761,
  9478836.52117146,
  9479163.027384842,
  9479282.954373537,
  9479501.740516542,
  9479629.989863856,
  9480385.543187238,
  9480492.147753295,
  9480576.605957922,
  9480734.707491493,
  9481347.916495228,
  9481462.439273186,
  9481959.715814576,
  9482454.067381896,
  9482920.613513924,
  9483164.520175476,
  9484460.41642214,
  9485714.478863528,
  9486431.334174166,
  9487342.17943494,
  9487934.675364997,
  9488280.83819548,
  9490596.205790639,
  9491576.457829835,
  9492756.31375535,
  9493443.912912535,
  9493549.058648955,
  9494485.579067431,
  9494969.267688565,
  9495124.880239926,
  9495481.652495483,
  9496858.6179422,
  9498997.935954925,
  9501975.517332222,
  9503642.959741944,
  9514146.326755704,
  9515835.503284967,
  9516330.48099903,
  9516582.869112201,
  9516599.751529638,
  9516700.157649796,
  9517269.031479193,
  9517824.865853703,
  9518725.175281834,
  9523842.28295285,
  9525312.324846907,
  9526638.357989801,
  9526969.372437382,
  9527044.066192346,
  9527572.747329932,
  9527948.368748942,
  9528613.156211888,
  9528703.150841424,
  9530226.079219725,
  9530341.212107077,
  9531572.645411614,
  9532635.498057213,
  9532745.862590073,
  9534237.988993226,
  9534245.243934292,
  9535340.625,
  9544497.102720948,
  9547884.553891536,
  9548264.017421233,
  9549680.126235114,
  9551207.700372765,
  9562231.747951746,
  9562433.76180884,
  9582537.701678827,
  9583089.53262676,
  9585242.87063061,
  9585732.73677045,
  9587526.046952432,
  9587826.60753471,
  9592641.08780812,
  9597236.009012587,
  9601534.375,
  9641914.090507962,
  9647699.504597766,
  9648182.612252884,
  9650008.027764479,
  9651172.915233344,
  9651639.07802026,
  9653512.430619743,
  9654070.73978151,
  9655124.409561262,
  9655761.919412283,
  9655868.572336229,
  9656752.86770059,
  9657959.622618709,
  9663829.550574888,
  9664293.393207138,
  9669622.550189262,
  9674550.0,
  9675461.62093522,
  9675603.125,
  9675897.498328762,
  9676356.573062668,
  9676460.986499602,
  9676603.374786893,
  9676869.900469536,
  9677225.595942011,
  9677233.760030102,
  9677413.936342038,
  9678066.37231021,
  9679134.792882646,
  9679780.38850414,
  9679795.360632747,
  9680327.969228365,
  9680673.618108016,
  9680893.854189513,
  9681000.54123663,
  9683405.795784654,
  9683606.868545093,
  9684733.08636444,
  9685050.243842775,
  9687941.582323907,
  9688032.027436567,
  9688128.723429171,
  9688406.194677792,
  9689045.485716786,
  9689555.343066677,
  9689586.472620515,
  9690357.74111721,
  9690645.831202742,
  9691127.877231477,
  9691377.542791883,
  9691642.978282968,
  9692004.173808077,
  9692011.104490755,
  9693009.503704283,
  9694988.735710705,
  9842631.800649991,
  9845425.025198413,
  9861083.956941858,
  9862477.813135484,
  9862487.51054683,
  9877912.842217222,
  9879893.543914251,
  9881887.82965234,
  9881905.160271553,
  9882153.854534285,
  9883234.971084433,
  9884450.283136155,
  9885528.160328485,
  9885710.39165062,
  9887347.00116996,
  9887556.577211535,
  9887628.864124494,
  9888532.054318378,
  9888931.321270553,
  9892211.852018092,
  9893280.797651798,
  9894131.348197814,
  9894419.52909978,
  9894873.299812095,
  9894972.796482757,
  9895343.204384562,
  9896035.626962606,
  9896459.122052496,
  9897136.091824373,
  9898143.276829341,
  9898830.515300984,
  9900270.737068785,
  9901059.32517533,
  9920918.170883982,
  9921644.794390306,
  9923042.110403081,
  9924188.008542858,
  9927249.148807645,
  9936830.870521976,
  9936917.584265394,
  9937066.104094299,
  9937407.553409204,
  9941424.554103637,
  9942547.431390287,
  9942773.30849365,
  9944849.74353313,
  9946115.444634061,
  9949286.949369095,
  9952613.451756775,
  9952938.55589359,
  9953700.405047406,
  9954093.460248038,
  9955537.97561485,
  9956095.845353844,
  9957303.61362607,
  9958908.662525924,
  9963089.007618906,
  9963305.672800196,
  9965990.614215631,
  9968665.655708369,
  9970149.085169613,
  9980452.132417293,
  9982464.860843722,
  9982535.721212307,
  9984931.553339288,
  9986400.557354791,
  9986919.048873898,
  9987054.55060896,
  9987754.877250502,
  9988404.531577813,
  9988471.852693921,
  9988543.17606129,
  9989400.330689223,
  9989440.730152251,
  9989453.966814905,
  9990202.7902921,
  9990335.108803386,
  9990360.887799447,
  9990435.688079592,
  9991021.053865565,
  9991442.484484706,
  9991613.94019761,
  9991681.37168226,
  9994598.92697616,
  9995723.046879474,
  9996975.434847504,
  9997057.378048202,
  9997875.37175573,
  9999118.768001223,
  9999410.704572983,
  9999569.036697526,
  10000260.045123996,
  10001147.623280652,
  10001494.678425102,
  10003039.02037959,
  10009486.170743693,
  10010396.856469097,
  10012124.753994884,
  10019139.441524282,
  10020031.102903448,
  10020384.427331813,
  10020632.723697284,
  10020735.136482121,
  10021367.720296511,
  10022539.854161901,
  10022687.796952512,
  10022827.039854886,
  10023328.793310106,
  10023524.544837192,
  10023865.562545704,
  10023879.95444114,
  10028854.240875049,
  10033105.141855653,
  10035184.043051504,
  10035599.531981131,
  10035710.992207797,
  10036283.311665146,
  10037490.512347765,
  10040533.940548202,
  10042341.264738984,
  10046351.045725593,
  10049792.67561014,
  10050579.554288736,
  10052353.516949281,
  10052424.0715691,
  10052718.826020317,
  10052819.89095036,
  10053516.229929248,
  10055574.153610105,
  10056015.636676647,
  10058457.593144266,
  10059449.300676223,
  10060813.443532376,
  10060814.845486447,
  10061347.049517838,
  10062896.137122748,
  10065128.550105076,
  10065214.786728462,
  10065218.163985493,
  10065712.380572774,
  10066111.787481893,
  10066309.466754368,
  10066517.366761724,
  10067528.521649543,
  10067757.645368336,
  10067998.559597276,
  10068051.495034382,
  10068148.755206319,
  10068265.015315456,
  10068553.342628427,
  10068787.019478776,
  10068789.145374449,
  ...],
 [5.24100869980833,
  10.55498377187915,
  5.782032810478339,
  9.738283892747694,
  5.331490737435327,
  18.565354389736903,
  24.810376135729665,
  16.554378936432713,
  88.82760366686544,
  49.68255185506684,
  59.04391714190463,
  7.3473043163667295,
  18.548025439886153,
  12.620623643130209,
  16.523524098889048,
  23.16737371354931,
  19.054919594745485,
  12.78104449407046,
  41.08445298059891,
  29.514903879401025,
  19.06673956243936,
  11.2211541254976,
  16.49689925302909,
  8.117642520058157,
  8.02637655895725,
  6.007695616848192,
  8.283548705779385,
  5.6886941403965094,
  75.38379167738154,
  31.37495685180226,
  15.976690394520809,
  60.734590709377954,
  22.82461986758779,
  84.41767467406478,
  17.64145305768927,
  106.41637054695994,
  12.67220319277033,
  81.57208941237243,
  69.95288699861288,
  52.992829434970915,
  7.343074370833832,
  8.822999034080922,
  111.29177359764067,
  5.141986373494094,
  13.335475294268162,
  21.606558763921814,
  14.5677291814328,
  8.372393799685334,
  6.182911379261829,
  34.06669749416533,
  92.71153255380102,
  5.706800635560976,
  9.873140922572992,
  19.988013767947393,
  19.58293328595402,
  20.61198706160655,
  151.26971555432317,
  22.666365365538525,
  14.119611752239901,
  21.594427930640812,
  26.107252827106215,
  69.31729144389966,
  22.97794329446528,
  43.642613217674736,
  35.10379094937643,
  14.934157036776911,
  20.986996535182453,
  59.55439595655877,
  10.518637775331008,
  19.382597809519947,
  8.079705903773588,
  8.122616120616831,
  9.876865002725092,
  10.521960375515896,
  44.399802782821624,
  15.82823977501292,
  23.61074436295906,
  11.119711462818477,
  31.182570739594226,
  7.661033893537377,
  10.131482969876622,
  6.558455290423341,
  6.5483746218821475,
  6.072996516381044,
  11.457791036920023,
  20.110757840062295,
  15.019070102442004,
  87.49556885061428,
  9.856578440585697,
  6.140822254942707,
  5.452961692098628,
  61.042394550165625,
  14.244767279503797,
  46.52303735128189,
  35.70834415125618,
  6.474662430033519,
  5.745908461441704,
  5.659853781112216,
  48.400152585240356,
  6.3805555182498255,
  54.36074515955195,
  10.173358270578039,
  6.458528970096493,
  11.694952397248723,
  7.3709181506952595,
  7.22694296028574,
  9.770403430599249,
  29.75420982837279,
  7.590472166399126,
  36.60181447300322,
  40.2516723506717,
  19.349040129262857,
  5.84074631978134,
  36.074645008322825,
  8.44120655373101,
  19.399629559278512,
  66.77978393742181,
  6.016395674696461,
  8.959191780663478,
  10.5128427380717,
  9.288736676502204,
  84.33452957653569,
  5.821056427881395,
  37.66911465945214,
  37.948403076149326,
  10.315191287581841,
  8.846247348819048,
  12.612624324140661,
  10.904408669789268,
  7.394183961965041,
  17.26952342272185,
  20.449871089162627,
  15.22384638533639,
  14.067909141717319,
  10.362011872624203,
  29.150423025792364,
  13.168672610991248,
  10.382841300385953,
  20.37629772986656,
  93.82007082535371,
  6.536788477317494,
  9.815502721884023,
  47.78715190937224,
  10.451333162073377,
  6.161272047669544,
  12.682674869432052,
  7.879573768049647,
  9.60953529234392,
  9.500870793907168,
  19.379597919191067,
  7.538985345429082,
  14.183309970140396,
  6.692496698201475,
  6.355390540799523,
  8.81467643952007,
  16.195560636855735,
  7.363932115171981,
  8.83772362744364,
  45.62082193653273,
  10.495051052168096,
  73.05600874808009,
  13.902793159021089,
  6.006923182127832,
  10.142932535109274,
  15.82514906113037,
  6.258990937686497,
  71.34776378775534,
  6.275612009450132,
  41.82867942819193,
  50.998424321304384,
  13.48333430354622,
  5.406134971837228,
  77.61466460956123,
  37.50648040869329,
  12.864008534110901,
  36.87209232569348,
  15.628073171441699,
  8.053339932951978,
  99.21977651595344,
  11.322966426123696,
  14.477197607463225,
  13.069559607528657,
  15.33805024335899,
  63.0678231441412,
  5.940826259564791,
  5.483055610434024,
  20.57632070583686,
  62.53072846099877,
  14.365559936091804,
  6.396066980505379,
  28.79838790657395,
  12.934039212898268,
  22.860072550188754,
  29.645290262179326,
  47.264444341382045,
  5.783681724722544,
  10.108944770462937,
  11.545342400487048,
  5.394502260689286,
  13.226895951546563,
  13.248707344780488,
  19.405761679111563,
  49.31739743108379,
  67.31574901568364,
  11.937229464461158,
  56.348550901686274,
  186.9640960673296,
  20.879439381886908,
  61.82108039929889,
  6.333127609076546,
  7.351086247692555,
  16.289399463281764,
  69.02811543520899,
  45.19411903936351,
  106.53629691450422,
  12.60060846702374,
  5.616429418578405,
  9.824679037557365,
  24.576249494752602,
  14.335714366419035,
  40.51417761537253,
  5.3967305403557555,
  12.62366903294177,
  12.131723411437378,
  74.47083221389619,
  43.249889815572054,
  12.86493570353353,
  41.165733096565006,
  12.904387619266894,
  194.80379814103793,
  12.40902207725552,
  15.641267746196473,
  81.62775648488214,
  16.23054812428483,
  6.691354698318761,
  7.398698282814999,
  20.92026732996588,
  6.17834826144074,
  23.600209829868128,
  59.931167279681105,
  5.582188447853076,
  70.46201450232367,
  22.333804308288656,
  93.379318931842,
  8.124511435316823,
  106.86442975163042,
  26.444423258160093,
  5.755355197087989,
  18.94438971169753,
  9.21516264230654,
  29.050105545622095,
  47.829314941155886,
  27.749912055155978,
  24.318152781539617,
  98.86609337781113,
  5.676239016448468,
  5.2392132687692055,
  12.248531555752852,
  6.052129027825188,
  16.491755465129327,
  9.229257365311447,
  8.846852582032769,
  5.794396674924683,
  9.614520915486755,
  7.657966223335635,
  16.69308318758398,
  13.847538519355174,
  24.323761696144473,
  66.90109775277531,
  20.786652727090228,
  7.61598848984847,
  14.500094674567766,
  21.662662441320567,
  12.580748289259537,
  5.588715605747417,
  10.04490532132117,
  11.138875541011844,
  6.882112992450217,
  22.10966093029117,
  9.052533677753525,
  11.761881393110947,
  10.995372913663374,
  14.468734886904336,
  14.847130746391896,
  14.445496640168356,
  5.391800206497578,
  11.214456420563682,
  11.07357228555376,
  13.728870488043222,
  6.136831596620295,
  23.562780417465078,
  7.408562648504016,
  5.665871422165952,
  14.116190294363467,
  82.01899106663336,
  7.599100715199931,
  6.5383380289126665,
  9.495471301288799,
  40.87151049056268,
  8.444466023537322,
  7.297113059202602,
  5.339534378327724,
  17.41787069958593,
  6.547551152165389,
  134.41982270492065,
  14.56746709185592,
  69.1308247163485,
  6.237782155310369,
  7.475680035882823,
  8.549923986120882,
  18.200020384903564,
  7.273501223931766,
  5.394688742240137,
  32.752149115530074,
  5.849962403499808,
  22.404560578358875,
  21.930400246718456,
  23.9022473006602,
  19.78208958039232,
  10.788204969324832,
  19.514705709889427,
  7.374291647359335,
  78.84083519311551,
  88.52792898272634,
  11.387467386296363,
  20.565011025492502,
  8.570391794499335,
  7.31505026526983,
  8.828252217121895,
  12.485127644024896,
  5.919267671046952,
  16.947035273691696,
  7.360548563256287,
  36.897096584746656,
  6.593570781726267,
  26.129310952096834,
  22.776335238277614,
  31.605014913723544,
  14.189367252374605,
  19.084226660510417,
  5.269842179532518,
  17.39863180887712,
  13.00531639531626,
  13.249998471409185,
  15.000753691360856,
  30.614864831823816,
  8.674751023433796,
  21.755283827925666,
  9.300770942962453,
  9.95842617222141,
  5.443883021659228,
  5.658120823515331,
  103.84257385504398,
  5.0973309350238685,
  8.81658768347664,
  41.081498694645326,
  10.980605443142597,
  26.423793783071048,
  17.941575677021834,
  5.834917377154341,
  7.2263600949098885,
  39.24013772105348,
  9.818918062955284,
  12.820372717043043,
  9.444640697520065,
  16.440060145844544,
  26.0726121487533,
  20.392906030226666,
  135.15300775334555,
  16.792459735865357,
  9.956702247066,
  27.65705891691254,
  14.947452536900247,
  7.72310618597229,
  34.89459901164314,
  7.184983633278999,
  12.186340987649084,
  36.33370877950307,
  5.071256822164062,
  22.45627452749489,
  6.4665727870973875,
  12.048990037815198,
  14.324996237332055,
  14.141061334813159,
  28.752233065827433,
  6.2985247284533825,
  11.099437081913962,
  6.586499522787839,
  15.819932981195237,
  17.109480422848655,
  11.56909510194862,
  16.007948484348155,
  10.302800236233983,
  7.465911443041442,
  6.010736296410903,
  6.592141956676468,
  9.91420949373525,
  19.653654252391338,
  5.75842633362315,
  7.5778154746959805,
  13.258258559006476,
  16.99041388449499,
  15.851938991799223,
  37.83791864506709,
  15.39140765752543,
  8.72641872336216,
  7.745781626930375,
  8.189727717088006,
  8.255562113185738,
  25.48591024318573,
  19.116623664923562,
  5.8201017396473995,
  7.748893302954421,
  9.903965329779894,
  55.16162578483315,
  22.679382669786563,
  12.186799460532677,
  5.627457594649682,
  8.568513366032334,
  7.464960080778573,
  5.897795964145188,
  21.52971327695114,
  11.613417942301014,
  13.808417236824218,
  7.684521362990264,
  24.855154781047805,
  15.32997867134217,
  16.92921464866289,
  29.737631896350734,
  71.95761443490696,
  6.40846121392531,
  22.21926870162846,
  6.2839591085719535,
  13.782165009343657,
  5.867490434373718,
  13.819193945572271,
  5.379620593933618,
  30.162651281571545,
  10.912719080984271,
  15.402562806914789,
  27.435157252621387,
  6.574412677042127,
  14.95533315010503,
  18.809943005079994,
  5.626387559947341,
  20.47678547513297,
  14.569120262497185,
  10.568925925694874,
  7.9013856933427835,
  19.86735773271197,
  25.46192335995892,
  7.336444460231373,
  11.616948413794544,
  20.598254222319532,
  5.2207844357896995,
  5.192226136419273,
  5.1876246357156175,
  12.396917518479786,
  12.869292076509087,
  15.262258631532301,
  8.284505790849352,
  8.6206242520415,
  20.711405733045467,
  33.020421379543436,
  10.55250457013719,
  162.13692826919632,
  15.899932976744564,
  12.13030291431713,
  5.728968084230155,
  10.631176357684783,
  5.113946444849278,
  8.862464249960391,
  9.622959914432347,
  15.358690499529356,
  21.192632086834514,
  12.778040411567765,
  21.646766632796886,
  9.930374848563277,
  13.22953334587744,
  11.207634327926185,
  10.449730722644267,
  17.337714662701792,
  6.35204103805039,
  17.79105016493457,
  22.83330049801159,
  21.69329731722405,
  6.703828643881184,
  8.174780648493169,
  5.1793242517465234,
  12.720014577835911,
  17.612125665376798,
  7.781647362278286,
  17.347014074546824,
  5.968597804186003,
  6.654582640685855,
  14.734597724729221,
  13.862636703472237,
  10.08148386779843,
  6.386394089499754,
  86.57824201179517,
  20.759696593279024,
  9.89324188658188,
  10.316873893008065,
  13.624745734500916,
  6.956029454092136,
  31.396015435433153,
  8.218458542049069,
  6.625993033439668,
  7.366324784629839,
  9.139442712480525,
  6.955607836023542,
  190.49913104648155,
  11.906374998936,
  8.736192700643905,
  21.966975196066187,
  23.80781577418655,
  31.704260388178263,
  70.74613153965052,
  134.35482436692186,
  19.902182445311894,
  14.977519206579046,
  43.504750650170074,
  7.687515618775903,
  11.094558601335443,
  20.146670411480315,
  8.349313946564441,
  22.651887345522486,
  29.693701747228708,
  10.453440988354263,
  5.38637466778068,
  5.743067126706868,
  8.011034732890153,
  21.418608461097293,
  16.202312165493954,
  10.739150654456736,
  10.548203417782343,
  6.8800134064729015,
  13.27521337925558,
  15.67805318821034,
  5.190127334864127,
  9.063362923895474,
  11.051416922835326,
  7.51362143012108,
  8.461127633401693,
  21.291660494922453,
  15.63137854725948,
  5.395406359824388,
  6.8389772855412625,
  6.094362448299085,
  16.353811829904647,
  35.5284078027254,
  21.723956678203542,
  10.089375536902045,
  5.181786633971399,
  9.48126762953324,
  10.836612625254016,
  7.649568337946021,
  5.886655135845719,
  7.1002110185890945,
  16.34347835106563,
  20.085786909124923,
  8.38970613590096,
  6.1995468451847815,
  11.057514086986462,
  5.241249680442176,
  23.070313149830316,
  20.73978211435665,
  5.0324705116307555,
  23.335956975752257,
  8.191200631990736,
  5.542669856313272,
  15.782663137653682,
  8.569912760469768,
  25.157433197236273,
  6.317844573649131,
  8.772194587885355,
  13.421570567323545,
  12.89767939041908,
  26.248022677501165,
  163.55325611579377,
  6.523195957196299,
  7.895193391842999,
  30.171947631111227,
  10.059996288434567,
  5.823627046418444,
  6.898837956181927,
  7.531336786937357,
  5.041518146952496,
  13.456983854118521,
  8.032146947510318,
  5.3754838563150855,
  16.054132168562724,
  14.650784687539648,
  19.768577654073205,
  5.040332101893753,
  23.359009384801745,
  11.239756107668349,
  9.815254726329629,
  18.959797936404264,
  18.607642326756057,
  17.508553029033635,
  16.266316943913168,
  17.308499503637716,
  11.846564106517128,
  5.694946087462284,
  13.44902269274133,
  6.552369451944102,
  14.9995849487196,
  5.728302882295749,
  5.331879282694899,
  10.718921334228508,
  23.382111971086758,
  24.913610599589592,
  31.898404678909362,
  10.203526495739395,
  10.188279825928127,
  15.236758887820676,
  81.16583346859964,
  13.92253064493543,
  13.023129612044563,
  8.700722947860415,
  11.462680281916226,
  28.927974457371494,
  5.062141229668123,
  17.388753430015925,
  10.404847566518596,
  23.872747418218943,
  8.354950443264421,
  18.26336785309729,
  7.280282735287568,
  11.924963457784278,
  6.046036948087193,
  7.464236735948993,
  19.961915670359854,
  5.682297572038342,
  7.582249272671284,
  10.363176306124078,
  11.010498708934271,
  21.030808854042956,
  9.544952842210352,
  6.492173453300351,
  19.254697200937397,
  8.744251101134536,
  6.190718060834113,
  16.0497121049401,
  11.5742462588245,
  5.939628042846929,
  7.801481559743631,
  12.485311132330578,
  12.41977199726865,
  8.004812925840483,
  9.22025686649647,
  27.919362513984463,
  9.073807089389708,
  6.029577674128005,
  14.176031957703826,
  9.432906320776278,
  11.11288167582271,
  18.31896705930234,
  6.79961768734437,
  6.710412034907496,
  29.16482113832848,
  16.69085472498944,
  15.640874939941131,
  30.78551228331654,
  13.02972869741287,
  16.765531678422143,
  11.357256451719318,
  14.613289885175666,
  15.763743459240905,
  14.809962878710083,
  6.629568371029924,
  9.14330507902098,
  18.161959366919806,
  8.320740380266683,
  19.017507494391538,
  6.568222685274019,
  30.007583595111193,
  11.939780635786846,
  15.123129036138469,
  18.811742631150345,
  6.865249522975164,
  75.76879155874508,
  10.224088882502654,
  22.70854844276076,
  6.834202603446871,
  19.029763865856392,
  5.291924561010347,
  15.31690685496546,
  18.293674483297103,
  13.58097298941279,
  6.4239544650206435,
  7.195460500418816,
  27.15231933921065,
  13.298329564714354,
  13.8747904498783,
  11.730539090294581,
  11.162238030822126,
  29.061276026681533,
  12.115799706056789,
  6.675480962705466,
  22.203386267799345,
  6.922160764394534,
  19.328310619270873,
  5.155749700293688,
  13.818896043568769,
  14.41102129044572,
  14.672110175152493,
  24.14904134760234,
  6.314704236418173,
  18.052244511022288,
  8.242861286893257,
  8.549397770930458,
  6.122044129968785,
  15.713567135390804,
  17.945752872145693,
  18.323612925154084,
  9.879038802343139,
  7.267347389281009,
  8.363054942276758,
  18.13528576815367,
  7.203268872186461,
  13.62512846098169,
  27.761970984221882,
  7.132922473617956,
  16.45482383524039,
  6.990914533935168,
  14.714991119452295,
  16.42186405079323,
  20.905538171829768,
  6.5353362928855,
  142.82079265765267,
  6.408396523661102,
  19.4082735263275,
  11.261875716507198,
  6.266179942591928,
  16.22490604421965,
  10.539755455326228,
  6.636874634057893,
  10.967949239694438,
  9.385900078912806,
  16.821923586876203,
  7.844487177231961,
  7.478546855295606,
  17.36574883529143,
  7.0903222504897405,
  7.231433650007438,
  7.350598037692165,
  6.995569765842519,
  17.363699018737794,
  18.589606319944192,
  6.984425486926924,
  15.128612146734287,
  19.172612255817782,
  9.37973516456726,
  7.515776159389616,
  7.661269807881984,
  5.964299092879148,
  5.286961479699615,
  15.654519215348758,
  5.82107688097708,
  14.313445028436021,
  15.563660543168309,
  12.263298701238515,
  9.61388127937018,
  7.371334800371626,
  14.685781484410501,
  5.565799329185914,
  15.5630308082299,
  8.04654036134104,
  8.623532914562166,
  16.32900667927575,
  10.503919548003283,
  17.554869069427518,
  17.202722617566273,
  6.749894725631768,
  48.75150663085345,
  35.350098973197476,
  11.419332881860127,
  16.904992681057053,
  16.926811332238863,
  14.530688599931773,
  17.25317874663149,
  6.969080986831445,
  15.770288083588925,
  26.01226567794846,
  18.392594644876187,
  15.780463364968726,
  13.28366565050912,
  13.245707634245033,
  11.937346934018716,
  15.221272364076201,
  40.316847707399205,
  5.534441402218608,
  12.575954812893727,
  8.183447923922051,
  11.481718311956762,
  13.265473807588277,
  21.017881036439437,
  6.080913875589815,
  5.734501881061734,
  35.13724138802455,
  10.327181625402618,
  9.185564509798521,
  7.05541908749863,
  9.549939103049917,
  10.920222727788474,
  5.908924668888488,
  13.636427473360754,
  29.150127787857812,
  18.394634549742698,
  29.91315997858465,
  6.89467451355047,
  7.209045960033021,
  5.246518763607367,
  11.541954875808054,
  13.573608694534554,
  17.83207488887781,
  5.375473440244056,
  15.879151632519717,
  16.903341335229904,
  7.761710438118548,
  18.513300455603776,
  9.37243646377547,
  5.802543706609608,
  11.422252419760438,
  7.641361008589683,
  7.271385640470246,
  13.32916171478485,
  9.915586103844708,
  9.57422831797055,
  8.419876816190753,
  6.970965019599741,
  5.223691688264783,
  7.288177643800239,
  6.260234016774173,
  19.27011606933406,
  9.95491557762576,
  17.466817404471517,
  14.676237291997403,
  6.335035178200979,
  7.516016611306229,
  8.883278735169588,
  6.011362968852693,
  5.119673346713343,
  8.376904101234686,
  15.455862242836233,
  8.121008907593199,
  12.113320231181003,
  11.167323300484641,
  13.556211377124583,
  11.629619315197491,
  14.981861956696713,
  7.214412822967012,
  5.602743820222234,
  11.685278366653533,
  5.849809546822516,
  5.493975127572396,
  17.832954039658997,
  8.442203254199507,
  15.07789679890771,
  13.202205227676476,
  15.389251360512915,
  16.35490353900938,
  5.2226706180403575,
  5.430139085208997,
  8.324629442719367,
  5.767541976575615,
  6.042289158070636,
  5.294130187026622,
  6.616574817818387,
  5.927503858485242,
  7.386756125338521,
  10.37002227074376,
  8.128914320967619,
  9.12630390955457,
  5.716650522076948,
  5.510548461405819,
  7.357498181759542,
  13.03234492547599,
  27.57603619403363,
  6.977109417732059,
  10.404149388139963,
  14.655575027781849,
  7.798142526704725,
  12.457176042714854,
  5.683025271632479,
  11.810200530602252,
  25.797553739853505,
  10.745521437218947,
  10.495611356258634,
  9.850780434370632,
  9.224652268441506,
  5.283230371987155,
  7.539279569246825,
  10.78336182558187,
  10.290726944485302,
  8.035690509191225,
  5.106512557072191,
  13.941273399370711,
  5.8500302849637675,
  8.590003863682297,
  7.256106755910523,
  7.942616020348766,
  5.097377596563311,
  13.119472447624096,
  11.11089187796038,
  9.357504516728644,
  5.863508595018191,
  7.8232491331158105,
  19.208839904600968,
  8.175419320864949,
  19.46764324514904,
  7.818080558463207,
  11.629374438647718,
  6.4658443548164835,
  6.2914733788372565,
  7.547800281745264,
  14.857165271766378,
  8.004724733177554,
  11.994720123949179,
  5.466297963705258,
  16.731747518443804,
  10.641956606357374,
  18.74028357366174,
  22.844163438478084,
  8.158941429521164,
  7.895353419778235,
  11.625970727901832,
  14.494977751749538,
  14.620523678443156,
  7.256352369714457,
  13.635937233521531,
  6.853540861748702,
  5.192492919592518,
  16.57698521582283,
  17.039236891150978,
  8.16712636752565,
  16.159799163806735,
  7.865033031971543,
  5.871501998175183,
  18.009208239043055,
  11.062502006672888,
  8.413895954527792,
  35.853180491873076,
  16.264868188432587,
  8.497725424469163,
  14.408998595080986,
  26.727926052313745,
  7.098302155869798,
  15.387624819340685,
  20.198971686028393,
  5.759064588857624,
  11.625912750224016,
  17.13775896283426,
  7.308957669070798,
  6.211355042655722,
  27.34715034810737,
  8.432971762130554,
  17.38254313956687,
  7.776274642974429,
  52.76874913016117,
  8.05367351618852,
  15.154212135442453,
  17.260043286969687,
  6.253069718419182,
  5.192492919592518,
  18.56900257009105,
  19.597865418645398,
  26.620287161121336,
  7.5557576864484695,
  7.751429661292753,
  6.156615902050596,
  12.54512412872429,
  6.682167824671457,
  17.88777718658225,
  18.616944256404814,
  9.341295991993087,
  14.16652582505891,
  36.89543365113501,
  13.011617954625965,
  6.9305842417385755,
  7.667601401319281,
  8.776764905931577,
  6.555860974364922,
  18.673273795437126,
  8.880613368791998,
  14.505043074090898,
  10.170901897369626,
  14.821531509976012,
  5.827364242460718,
  16.704709337431733,
  7.078200109294538,
  11.324070801130759,
  14.690449641411497,
  16.30855311889756,
  5.375666873760443,
  11.485810917285908,
  21.689637326355655,
  15.26708543884638,
  ...])

Energy spectrum

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

([3233013.9140250813,
  3321376.8311738353,
  3428065.1836859803,
  3458655.1324540507,
  3503816.8799012457,
  3635331.958618449,
  4368973.2161615975,
  4408919.117295488,
  4542874.020265146,
  4582959.375,
  4752517.1875,
  4752525.794733301,
  5142481.9560898105,
  5450604.668318619,
  6161380.048681091,
  6363830.902915428,
  6460961.8809551755,
  6477008.25279105,
  6482229.6875,
  6787591.7960648,
  6885046.091704186,
  6892339.121473235,
  6909162.855879997,
  6935274.666269475,
  6940785.410760077,
  6943044.502127035,
  6944010.931768442,
  6985207.524875965,
  6992269.671740794,
  6992352.888216092,
  6996626.410805417,
  7002209.055700495,
  7051491.8113654405,
  7165832.8125,
  7248098.231787791,
  7376571.472490174,
  7405496.117537646,
  7411334.375,
  7415554.6875,
  7444448.4375,
  7485500.780946038,
  7502038.393101411,
  7516560.181794302,
  7519833.3421906335,
  7534424.50343928,
  7549162.01129896,
  7560421.334998123,
  7581364.221329675,
  7583266.489918689,
  7584190.6469802465,
  7590029.608043925,
  7592856.250669783,
  7593853.703000529,
  7595548.224272489,
  7630094.59702455,
  7691656.7334988965,
  7727232.753934512,
  7737746.986723361,
  7769306.746512506,
  7770790.922537088,
  7773578.9129549805,
  7776151.003824469,
  7778575.738324627,
  7779588.274519496,
  7779656.223256057,
  7779973.4355696775,
  7781026.010223399,
  7781156.25,
  7784093.321947347,
  7789554.097656806,
  7793258.962184034,
  7794160.614020299,
  7798642.769082712,
  7801487.074511141,
  7806321.875,
  7806331.464692908,
  7806355.246943181,
  7814948.432378801,
  7825221.934213687,
  7828109.532020055,
  7851502.378080915,
  7851617.628126985,
  7853900.380109773,
  7856906.103506417,
  7859489.2638893565,
  7860506.064220258,
  7860607.966027267,
  7862854.6875,
  7864416.187010569,
  7868303.617181586,
  7869154.4807421565,
  7939400.269274576,
  7941862.339110078,
  7943258.842758505,
  7943721.765642313,
  7961310.857752979,
  7963616.223074091,
  7963682.049387319,
  7966157.8125,
  7966174.2849649275,
  7992090.491469208,
  7992130.539610196,
  7992145.127842469,
  7994483.147431004,
  8012618.058495002,
  8047045.699160907,
  8050591.1022414705,
  8051823.4375,
  8086018.714566769,
  8088326.5625,
  8088337.5,
  8088950.816872239,
  8109211.292808993,
  8124689.0625,
  8129772.156391129,
  8130285.198473332,
  8131259.375,
  8131288.343555778,
  8133355.774360011,
  8133627.692469166,
  8134562.449105601,
  8134696.756457215,
  8137156.345179058,
  8137594.734681209,
  8138893.135247831,
  8139011.909534397,
  8141071.23950463,
  8143863.279555096,
  8143874.457727621,
  8152091.569980802,
  8160473.938338766,
  8171183.763650514,
  8172234.461362576,
  8176185.253678948,
  8189730.6978832,
  8200637.063957189,
  8204663.5040146895,
  8205502.589752843,
  8208140.005250864,
  8209112.226490783,
  8209651.872369857,
  8217002.084437568,
  8240131.25,
  8240668.269413767,
  8252270.987930395,
  8254272.684478908,
  8254650.704441442,
  8257767.499084245,
  8259050.193844789,
  8259216.217422527,
  8259640.443787685,
  8260749.78576074,
  8260763.6960945595,
  8261341.292547931,
  8261504.005878937,
  8262642.48172328,
  8263352.411057269,
  8264463.414615074,
  8264466.439408646,
  8267308.928667781,
  8292415.625,
  8292612.847665795,
  8296852.306463504,
  8298608.638121104,
  8304151.776502148,
  8304659.309761082,
  8306600.0,
  8333970.378804845,
  8368593.617080717,
  8374611.844988256,
  8380529.243942817,
  8380581.4489606405,
  8384879.6875,
  8385965.3768406445,
  8386427.447156576,
  8391214.0625,
  8397220.481675802,
  8417799.531268734,
  8448939.74475347,
  8465539.183929777,
  8502637.37260476,
  8515618.22437106,
  8534123.53778725,
  8534131.25,
  8534132.828799699,
  8534389.54929583,
  8534426.333972983,
  8534749.204348268,
  8534870.152715217,
  8534899.39367399,
  8536173.4375,
  8536697.7878412,
  8542320.816391256,
  8550606.25,
  8552895.3125,
  8553366.769440502,
  8570514.858200673,
  8573509.626711197,
  8575162.395715958,
  8618951.12405528,
  8622502.596516423,
  8641650.824270463,
  8654907.98279311,
  8666395.3919078,
  8671830.150248123,
  8691245.3125,
  8724481.603707997,
  8729425.99870146,
  8736994.745718043,
  8740348.942098439,
  8741016.432027528,
  8742972.188756896,
  8743906.25,
  8744051.5625,
  8745237.5,
  8746761.711871257,
  8747076.605535617,
  8747323.96844191,
  8749025.825917672,
  8749648.268933576,
  8749731.25,
  8749784.329318546,
  8749998.379203534,
  8750786.497107377,
  8753118.75,
  8753276.5625,
  8754225.039100407,
  8758660.427760988,
  8761202.169643525,
  8764819.592378609,
  8765633.502133092,
  8767293.150368474,
  8770387.5,
  8781651.864042358,
  8782076.19002139,
  8789647.834206214,
  8795615.197575603,
  8795955.512831446,
  8799055.938123321,
  8799913.865468612,
  8801668.159457052,
  8801690.676210726,
  8802707.392839836,
  8802842.965565382,
  8804848.11791955,
  8805235.9375,
  8805437.12334303,
  8805630.424942879,
  8805724.199926523,
  8806596.73425239,
  8807102.680070193,
  8808009.375,
  8809940.584604535,
  8810851.452539362,
  8815871.875,
  8818608.884540554,
  8818860.724158168,
  8819638.156271096,
  8819896.521851895,
  8819973.792353176,
  8820038.939174999,
  8820135.302882578,
  8820171.606771268,
  8820917.504369918,
  8821250.148823164,
  8821484.769404862,
  8822044.992471399,
  8822526.771812173,
  8825414.0625,
  8826239.662623642,
  8827887.535117036,
  8828182.691659972,
  8828572.954331461,
  8828869.51577012,
  8828980.782905187,
  8830894.48835677,
  8831090.63213368,
  8832059.941415792,
  8832450.812599106,
  8832562.15069245,
  8832592.558574269,
  8833054.60115438,
  8834643.620174464,
  8836631.22501631,
  8836787.363480056,
  8836909.199321382,
  8837003.179799723,
  8837053.090088129,
  8837462.140774475,
  8837534.830936218,
  8841916.87264134,
  8842452.552645069,
  8842611.837802805,
  8848834.048810659,
  8854165.250310058,
  8856934.36354739,
  8860636.256806687,
  8898593.937865017,
  8969998.4375,
  8978053.412094675,
  9000733.4410982,
  9001331.18016514,
  9019642.714211997,
  9020767.562641865,
  9025337.763381815,
  9026603.023277877,
  9030803.125,
  9045420.076069359,
  9045993.382991709,
  9046752.029367786,
  9047052.216470782,
  9048098.985978182,
  9048635.838129787,
  9048866.43791041,
  9051562.974740567,
  9052934.438907275,
  9053129.95455544,
  9054703.73911806,
  9057800.056608088,
  9057860.708867833,
  9060303.963325,
  9061085.256793043,
  9061429.290222082,
  9061429.6875,
  9061461.09756447,
  9061774.401642838,
  9061847.375721332,
  9062310.063613992,
  9062738.400792863,
  9063205.411271421,
  9063299.765817152,
  9063310.81209359,
  9063338.337652722,
  9063373.4375,
  9063485.022214526,
  9063563.081038544,
  9063726.182186311,
  9064385.67920198,
  9064741.97510296,
  9064984.040431818,
  9064989.921565285,
  9065038.869751832,
  9065104.912964983,
  9065108.846995996,
  9065179.053492995,
  9065541.423584696,
  9066336.605863985,
  9067582.722445909,
  9067860.901049158,
  9068064.721346086,
  9068151.139111836,
  9068174.207655307,
  9069435.9375,
  9069512.442741236,
  9069786.821189787,
  9071896.875,
  9075385.841305528,
  9076356.342602447,
  9077674.149749067,
  9081356.529013125,
  9081386.322102064,
  9082689.0625,
  9083423.962792423,
  9088532.489495832,
  9088595.443452025,
  9088811.281985108,
  9090245.174854012,
  9090413.44465371,
  9090737.584975457,
  9093558.2259565,
  9094866.2822362,
  9097048.392086647,
  9100984.376558373,
  9101742.507188633,
  9110086.02213608,
  9110215.861296006,
  9111081.835944122,
  9113646.875,
  9114900.129392302,
  9115753.64408219,
  9116252.992847368,
  9120698.956502657,
  9122367.015767109,
  9122443.522848228,
  9123951.055116685,
  9127178.368988808,
  9131385.91933831,
  9131599.043632174,
  9131851.507917011,
  9132456.042562384,
  9133054.952653427,
  9133311.191727933,
  9133519.71178468,
  9133563.666152237,
  9133638.284189487,
  9133677.201434152,
  9133724.054739807,
  9133978.980960226,
  9134047.657352872,
  9134093.679160075,
  9134207.287560828,
  9134244.2005149,
  9134508.477133758,
  9135135.480876308,
  9135321.732246215,
  9135328.873413093,
  9135408.190135494,
  9135431.062252875,
  9135468.690885646,
  9135602.949695347,
  9135630.735049129,
  9135656.332390849,
  9135722.26052726,
  9136136.545006132,
  9136792.1875,
  9137693.361228433,
  9138006.836163647,
  9138234.614940744,
  9138377.060128076,
  9138463.663285078,
  9138754.196968952,
  9138905.753662469,
  9139011.227502145,
  9139055.917157872,
  9139273.656781388,
  9140546.656806806,
  9140820.98300576,
  9140831.689182393,
  9140845.985688593,
  9140968.75,
  9141113.541866742,
  9141441.757338975,
  9141639.194019185,
  9141785.86941609,
  9141875.697919378,
  9142219.983198155,
  9143118.24791698,
  9143289.05367514,
  9144057.670461118,
  9146651.678423055,
  9147465.56743143,
  9147522.410309326,
  9150828.128622096,
  9152289.806162927,
  9152712.720983043,
  9152715.01670412,
  9157782.711243823,
  9159035.54795841,
  9162191.38039462,
  9163543.069967419,
  9166659.198111193,
  9167269.509258002,
  9168678.416968424,
  9170448.256156959,
  9171452.23061948,
  9171512.054804249,
  9172032.18093175,
  9172464.746643985,
  9178327.38215391,
  9185640.706681868,
  9188999.996080643,
  9189438.082434218,
  9189508.436068809,
  9191575.0,
  9196368.34795132,
  9197413.878919052,
  9197737.730612384,
  9197906.50641203,
  9197928.468415126,
  9198999.657278,
  9199307.021354578,
  9200160.325447667,
  9200511.263294082,
  9200687.605309706,
  9200744.416869305,
  9200760.224418378,
  9201405.765267583,
  9201495.94502709,
  9201641.651878066,
  9201981.300540335,
  9202329.20564891,
  9202695.526400395,
  9203135.018261893,
  9203275.589275328,
  9203488.687114453,
  9203676.082337333,
  9203934.068540467,
  9204045.094933404,
  9204120.902099473,
  9207425.825225161,
  9207452.122217655,
  9207459.842732646,
  9208392.701927505,
  9208398.766716704,
  9209738.491268842,
  9210039.007134072,
  9210374.684888413,
  9211839.833767463,
  9212535.263576489,
  9214410.9375,
  9215071.298196618,
  9215749.034778615,
  9215808.78592295,
  9216676.168056343,
  9217436.830968352,
  9217787.5,
  9221249.86892611,
  9221374.269831069,
  9223530.54375369,
  9228221.638904104,
  9228910.266655196,
  9232265.161359984,
  9232875.44692498,
  9233653.888344515,
  9233891.733726917,
  9238155.1327243,
  9241921.875,
  9244323.4375,
  9245061.445485434,
  9247386.824218012,
  9248458.000659028,
  9266246.038367841,
  9266704.914655933,
  9267234.353688791,
  9267289.97525474,
  9267746.991781147,
  9267911.058628185,
  9268407.979739064,
  9268612.021076534,
  9268812.179856334,
  9269020.86828937,
  9269110.377373878,
  9269421.966504209,
  9269500.295639,
  9269573.173828235,
  9269580.84466448,
  9269595.869348286,
  9270011.98133402,
  9270013.167642487,
  9270724.470046632,
  9270760.602526162,
  9270842.194141574,
  9271024.745235587,
  9271039.378609,
  9271095.16150777,
  9271334.544940531,
  9271726.482023021,
  9271731.616629578,
  9272100.0600139,
  9272322.201988498,
  9272336.979254458,
  9272528.002736973,
  9273157.028312923,
  9273231.94155796,
  9273393.922074951,
  9273462.305427076,
  9273506.376306156,
  9273716.561161844,
  9273749.918576058,
  9275447.199875353,
  9275549.346317384,
  9275559.565056218,
  9275632.257597324,
  9276348.39212389,
  9276860.797711847,
  9277232.45729698,
  9277844.733515363,
  9278019.767059335,
  9279100.52663465,
  9280460.75267883,
  9281309.571012074,
  9281698.761228994,
  9312067.687432755,
  9321205.484599872,
  9330931.640617415,
  9332478.94277599,
  9334172.972011968,
  9334863.39826534,
  9339636.140963098,
  9341451.820489774,
  9342108.039017698,
  9342649.178492745,
  9345167.774061536,
  9346811.689485488,
  9348236.067031303,
  9348992.829569113,
  9349066.98423083,
  9349629.685970007,
  9350183.922122722,
  9352271.360745605,
  9352629.072814759,
  9353631.514192248,
  9358565.546575049,
  9361044.665440794,
  9361848.365465596,
  9362426.23120117,
  9362625.07052213,
  9363553.646693802,
  9363566.62024614,
  9364809.68892146,
  9365049.921008984,
  9365884.134365,
  9367116.132693894,
  9367754.17661156,
  9368760.750288827,
  9369429.231796274,
  9371014.466657773,
  9373179.70265381,
  9373344.08328889,
  9373937.203974664,
  9374432.534221534,
  9401739.843192851,
  9402859.714958427,
  9428928.125,
  9433525.87810384,
  9434825.865000451,
  9435678.850308161,
  9436784.375,
  9436827.829241434,
  9437244.347560562,
  9437947.583839368,
  9438259.579232141,
  9438917.1875,
  9439827.750069037,
  9440015.520039815,
  9440347.919949794,
  9440686.204969728,
  9440932.939594695,
  9441503.31661061,
  9441538.07162086,
  9443064.518973136,
  9443276.148069568,
  9443999.598603938,
  9444254.174625503,
  9444657.421174854,
  9449237.441594906,
  9451963.511329345,
  9452203.048697026,
  9453551.01487419,
  9456695.554700518,
  9458385.969844231,
  9460717.991942436,
  9460967.963105299,
  9461229.057193622,
  9461383.31124484,
  9461925.26805695,
  9462626.565054787,
  9463397.39175658,
  9467521.036352957,
  9467650.69449412,
  9469033.801254671,
  9469270.178061008,
  9469448.406159975,
  9470099.6787881,
  9470775.980294876,
  9471401.346044255,
  9471734.492652224,
  9471921.865494594,
  9472102.234576672,
  9472293.92822746,
  9472832.540603746,
  9472878.125,
  9472926.956474125,
  9472929.859635124,
  9473135.45078758,
  9473550.95061836,
  9473670.72082417,
  9473715.767057147,
  9473815.536137542,
  9473929.88770082,
  9473937.465053748,
  9473983.664924202,
  9474016.95634039,
  9474324.085611394,
  9474400.064048905,
  9474569.263813432,
  9474617.68624206,
  9474633.682975229,
  9474786.401550695,
  9474840.671847736,
  9475012.217462033,
  9475122.364122808,
  9475268.75,
  9475314.958168214,
  9476201.631339345,
  9476615.969091114,
  9476624.211663222,
  9476679.714582833,
  9476693.0837408,
  9476824.793638755,
  9476952.715514222,
  9476960.522554874,
  9477140.899254192,
  9477235.26483421,
  9477257.302348638,
  9477357.501335206,
  9477364.416730132,
  9477384.396980247,
  9477386.849903874,
  9477389.614359297,
  9477535.479990574,
  9477558.813226683,
  9477578.870933056,
  9477595.027369287,
  9477641.769942649,
  9477655.920600398,
  9477738.9159916,
  9477782.739977686,
  9477840.35555459,
  9477850.366978643,
  9478120.651403582,
  9478131.166407237,
  9478203.590993093,
  9478222.195215868,
  9478318.938812746,
  9478459.986562504,
  9478808.48527761,
  9478836.52117146,
  9479163.027384842,
  9479282.954373537,
  9479501.740516542,
  9479629.989863856,
  9480385.543187238,
  9480492.147753295,
  9480576.605957922,
  9480734.707491493,
  9481347.916495228,
  9481462.439273186,
  9481959.715814576,
  9482454.067381896,
  9482920.613513924,
  9483164.520175476,
  9484460.41642214,
  9485714.478863528,
  9486431.334174166,
  9487342.17943494,
  9487934.675364997,
  9488280.83819548,
  9490596.205790639,
  9491576.457829835,
  9492756.31375535,
  9493443.912912535,
  9493549.058648955,
  9494485.579067431,
  9494969.267688565,
  9495124.880239926,
  9495481.652495483,
  9496858.6179422,
  9498997.935954925,
  9501975.517332222,
  9503642.959741944,
  9514146.326755704,
  9515835.503284967,
  9516330.48099903,
  9516582.869112201,
  9516599.751529638,
  9516700.157649796,
  9517269.031479193,
  9517824.865853703,
  9518725.175281834,
  9523842.28295285,
  9525312.324846907,
  9526638.357989801,
  9526969.372437382,
  9527044.066192346,
  9527572.747329932,
  9527948.368748942,
  9528613.156211888,
  9528703.150841424,
  9530226.079219725,
  9530341.212107077,
  9531572.645411614,
  9532635.498057213,
  9532745.862590073,
  9534237.988993226,
  9534245.243934292,
  9535340.625,
  9544497.102720948,
  9547884.553891536,
  9548264.017421233,
  9549680.126235114,
  9551207.700372765,
  9562231.747951746,
  9562433.76180884,
  9582537.701678827,
  9583089.53262676,
  9585242.87063061,
  9585732.73677045,
  9587526.046952432,
  9587826.60753471,
  9592641.08780812,
  9597236.009012587,
  9601534.375,
  9641914.090507962,
  9647699.504597766,
  9648182.612252884,
  9650008.027764479,
  9651172.915233344,
  9651639.07802026,
  9653512.430619743,
  9654070.73978151,
  9655124.409561262,
  9655761.919412283,
  9655868.572336229,
  9656752.86770059,
  9657959.622618709,
  9663829.550574888,
  9664293.393207138,
  9669622.550189262,
  9674550.0,
  9675461.62093522,
  9675603.125,
  9675897.498328762,
  9676356.573062668,
  9676460.986499602,
  9676603.374786893,
  9676869.900469536,
  9677225.595942011,
  9677233.760030102,
  9677413.936342038,
  9678066.37231021,
  9679134.792882646,
  9679780.38850414,
  9679795.360632747,
  9680327.969228365,
  9680673.618108016,
  9680893.854189513,
  9681000.54123663,
  9683405.795784654,
  9683606.868545093,
  9684733.08636444,
  9685050.243842775,
  9687941.582323907,
  9688032.027436567,
  9688128.723429171,
  9688406.194677792,
  9689045.485716786,
  9689555.343066677,
  9689586.472620515,
  9690357.74111721,
  9690645.831202742,
  9691127.877231477,
  9691377.542791883,
  9691642.978282968,
  9692004.173808077,
  9692011.104490755,
  9693009.503704283,
  9694988.735710705,
  9842631.800649991,
  9845425.025198413,
  9861083.956941858,
  9862477.813135484,
  9862487.51054683,
  9877912.842217222,
  9879893.543914251,
  9881887.82965234,
  9881905.160271553,
  9882153.854534285,
  9883234.971084433,
  9884450.283136155,
  9885528.160328485,
  9885710.39165062,
  9887347.00116996,
  9887556.577211535,
  9887628.864124494,
  9888532.054318378,
  9888931.321270553,
  9892211.852018092,
  9893280.797651798,
  9894131.348197814,
  9894419.52909978,
  9894873.299812095,
  9894972.796482757,
  9895343.204384562,
  9896035.626962606,
  9896459.122052496,
  9897136.091824373,
  9898143.276829341,
  9898830.515300984,
  9900270.737068785,
  9901059.32517533,
  9920918.170883982,
  9921644.794390306,
  9923042.110403081,
  9924188.008542858,
  9927249.148807645,
  9936830.870521976,
  9936917.584265394,
  9937066.104094299,
  9937407.553409204,
  9941424.554103637,
  9942547.431390287,
  9942773.30849365,
  9944849.74353313,
  9946115.444634061,
  9949286.949369095,
  9952613.451756775,
  9952938.55589359,
  9953700.405047406,
  9954093.460248038,
  9955537.97561485,
  9956095.845353844,
  9957303.61362607,
  9958908.662525924,
  9963089.007618906,
  9963305.672800196,
  9965990.614215631,
  9968665.655708369,
  9970149.085169613,
  9980452.132417293,
  9982464.860843722,
  9982535.721212307,
  9984931.553339288,
  9986400.557354791,
  9986919.048873898,
  9987054.55060896,
  9987754.877250502,
  9988404.531577813,
  9988471.852693921,
  9988543.17606129,
  9989400.330689223,
  9989440.730152251,
  9989453.966814905,
  9990202.7902921,
  9990335.108803386,
  9990360.887799447,
  9990435.688079592,
  9991021.053865565,
  9991442.484484706,
  9991613.94019761,
  9991681.37168226,
  9994598.92697616,
  9995723.046879474,
  9996975.434847504,
  9997057.378048202,
  9997875.37175573,
  9999118.768001223,
  9999410.704572983,
  9999569.036697526,
  10000260.045123996,
  10001147.623280652,
  10001494.678425102,
  10003039.02037959,
  10009486.170743693,
  10010396.856469097,
  10012124.753994884,
  10019139.441524282,
  10020031.102903448,
  10020384.427331813,
  10020632.723697284,
  10020735.136482121,
  10021367.720296511,
  10022539.854161901,
  10022687.796952512,
  10022827.039854886,
  10023328.793310106,
  10023524.544837192,
  10023865.562545704,
  10023879.95444114,
  10028854.240875049,
  10033105.141855653,
  10035184.043051504,
  10035599.531981131,
  10035710.992207797,
  10036283.311665146,
  10037490.512347765,
  10040533.940548202,
  10042341.264738984,
  10046351.045725593,
  10049792.67561014,
  10050579.554288736,
  10052353.516949281,
  10052424.0715691,
  10052718.826020317,
  10052819.89095036,
  10053516.229929248,
  10055574.153610105,
  10056015.636676647,
  10058457.593144266,
  10059449.300676223,
  10060813.443532376,
  10060814.845486447,
  10061347.049517838,
  10062896.137122748,
  10065128.550105076,
  10065214.786728462,
  10065218.163985493,
  10065712.380572774,
  10066111.787481893,
  10066309.466754368,
  10066517.366761724,
  10067528.521649543,
  10067757.645368336,
  10067998.559597276,
  10068051.495034382,
  10068148.755206319,
  10068265.015315456,
  10068553.342628427,
  10068787.019478776,
  10068789.145374449,
  ...],
 [5.24100869980833,
  10.55498377187915,
  5.782032810478339,
  9.738283892747694,
  5.331490737435327,
  18.565354389736903,
  24.810376135729665,
  16.554378936432713,
  88.82760366686544,
  49.68255185506684,
  59.04391714190463,
  7.3473043163667295,
  18.548025439886153,
  12.620623643130209,
  16.523524098889048,
  23.16737371354931,
  19.054919594745485,
  12.78104449407046,
  41.08445298059891,
  29.514903879401025,
  19.06673956243936,
  11.2211541254976,
  16.49689925302909,
  8.117642520058157,
  8.02637655895725,
  6.007695616848192,
  8.283548705779385,
  5.6886941403965094,
  75.38379167738154,
  31.37495685180226,
  15.976690394520809,
  60.734590709377954,
  22.82461986758779,
  84.41767467406478,
  17.64145305768927,
  106.41637054695994,
  12.67220319277033,
  81.57208941237243,
  69.95288699861288,
  52.992829434970915,
  7.343074370833832,
  8.822999034080922,
  111.29177359764067,
  5.141986373494094,
  13.335475294268162,
  21.606558763921814,
  14.5677291814328,
  8.372393799685334,
  6.182911379261829,
  34.06669749416533,
  92.71153255380102,
  5.706800635560976,
  9.873140922572992,
  19.988013767947393,
  19.58293328595402,
  20.61198706160655,
  151.26971555432317,
  22.666365365538525,
  14.119611752239901,
  21.594427930640812,
  26.107252827106215,
  69.31729144389966,
  22.97794329446528,
  43.642613217674736,
  35.10379094937643,
  14.934157036776911,
  20.986996535182453,
  59.55439595655877,
  10.518637775331008,
  19.382597809519947,
  8.079705903773588,
  8.122616120616831,
  9.876865002725092,
  10.521960375515896,
  44.399802782821624,
  15.82823977501292,
  23.61074436295906,
  11.119711462818477,
  31.182570739594226,
  7.661033893537377,
  10.131482969876622,
  6.558455290423341,
  6.5483746218821475,
  6.072996516381044,
  11.457791036920023,
  20.110757840062295,
  15.019070102442004,
  87.49556885061428,
  9.856578440585697,
  6.140822254942707,
  5.452961692098628,
  61.042394550165625,
  14.244767279503797,
  46.52303735128189,
  35.70834415125618,
  6.474662430033519,
  5.745908461441704,
  5.659853781112216,
  48.400152585240356,
  6.3805555182498255,
  54.36074515955195,
  10.173358270578039,
  6.458528970096493,
  11.694952397248723,
  7.3709181506952595,
  7.22694296028574,
  9.770403430599249,
  29.75420982837279,
  7.590472166399126,
  36.60181447300322,
  40.2516723506717,
  19.349040129262857,
  5.84074631978134,
  36.074645008322825,
  8.44120655373101,
  19.399629559278512,
  66.77978393742181,
  6.016395674696461,
  8.959191780663478,
  10.5128427380717,
  9.288736676502204,
  84.33452957653569,
  5.821056427881395,
  37.66911465945214,
  37.948403076149326,
  10.315191287581841,
  8.846247348819048,
  12.612624324140661,
  10.904408669789268,
  7.394183961965041,
  17.26952342272185,
  20.449871089162627,
  15.22384638533639,
  14.067909141717319,
  10.362011872624203,
  29.150423025792364,
  13.168672610991248,
  10.382841300385953,
  20.37629772986656,
  93.82007082535371,
  6.536788477317494,
  9.815502721884023,
  47.78715190937224,
  10.451333162073377,
  6.161272047669544,
  12.682674869432052,
  7.879573768049647,
  9.60953529234392,
  9.500870793907168,
  19.379597919191067,
  7.538985345429082,
  14.183309970140396,
  6.692496698201475,
  6.355390540799523,
  8.81467643952007,
  16.195560636855735,
  7.363932115171981,
  8.83772362744364,
  45.62082193653273,
  10.495051052168096,
  73.05600874808009,
  13.902793159021089,
  6.006923182127832,
  10.142932535109274,
  15.82514906113037,
  6.258990937686497,
  71.34776378775534,
  6.275612009450132,
  41.82867942819193,
  50.998424321304384,
  13.48333430354622,
  5.406134971837228,
  77.61466460956123,
  37.50648040869329,
  12.864008534110901,
  36.87209232569348,
  15.628073171441699,
  8.053339932951978,
  99.21977651595344,
  11.322966426123696,
  14.477197607463225,
  13.069559607528657,
  15.33805024335899,
  63.0678231441412,
  5.940826259564791,
  5.483055610434024,
  20.57632070583686,
  62.53072846099877,
  14.365559936091804,
  6.396066980505379,
  28.79838790657395,
  12.934039212898268,
  22.860072550188754,
  29.645290262179326,
  47.264444341382045,
  5.783681724722544,
  10.108944770462937,
  11.545342400487048,
  5.394502260689286,
  13.226895951546563,
  13.248707344780488,
  19.405761679111563,
  49.31739743108379,
  67.31574901568364,
  11.937229464461158,
  56.348550901686274,
  186.9640960673296,
  20.879439381886908,
  61.82108039929889,
  6.333127609076546,
  7.351086247692555,
  16.289399463281764,
  69.02811543520899,
  45.19411903936351,
  106.53629691450422,
  12.60060846702374,
  5.616429418578405,
  9.824679037557365,
  24.576249494752602,
  14.335714366419035,
  40.51417761537253,
  5.3967305403557555,
  12.62366903294177,
  12.131723411437378,
  74.47083221389619,
  43.249889815572054,
  12.86493570353353,
  41.165733096565006,
  12.904387619266894,
  194.80379814103793,
  12.40902207725552,
  15.641267746196473,
  81.62775648488214,
  16.23054812428483,
  6.691354698318761,
  7.398698282814999,
  20.92026732996588,
  6.17834826144074,
  23.600209829868128,
  59.931167279681105,
  5.582188447853076,
  70.46201450232367,
  22.333804308288656,
  93.379318931842,
  8.124511435316823,
  106.86442975163042,
  26.444423258160093,
  5.755355197087989,
  18.94438971169753,
  9.21516264230654,
  29.050105545622095,
  47.829314941155886,
  27.749912055155978,
  24.318152781539617,
  98.86609337781113,
  5.676239016448468,
  5.2392132687692055,
  12.248531555752852,
  6.052129027825188,
  16.491755465129327,
  9.229257365311447,
  8.846852582032769,
  5.794396674924683,
  9.614520915486755,
  7.657966223335635,
  16.69308318758398,
  13.847538519355174,
  24.323761696144473,
  66.90109775277531,
  20.786652727090228,
  7.61598848984847,
  14.500094674567766,
  21.662662441320567,
  12.580748289259537,
  5.588715605747417,
  10.04490532132117,
  11.138875541011844,
  6.882112992450217,
  22.10966093029117,
  9.052533677753525,
  11.761881393110947,
  10.995372913663374,
  14.468734886904336,
  14.847130746391896,
  14.445496640168356,
  5.391800206497578,
  11.214456420563682,
  11.07357228555376,
  13.728870488043222,
  6.136831596620295,
  23.562780417465078,
  7.408562648504016,
  5.665871422165952,
  14.116190294363467,
  82.01899106663336,
  7.599100715199931,
  6.5383380289126665,
  9.495471301288799,
  40.87151049056268,
  8.444466023537322,
  7.297113059202602,
  5.339534378327724,
  17.41787069958593,
  6.547551152165389,
  134.41982270492065,
  14.56746709185592,
  69.1308247163485,
  6.237782155310369,
  7.475680035882823,
  8.549923986120882,
  18.200020384903564,
  7.273501223931766,
  5.394688742240137,
  32.752149115530074,
  5.849962403499808,
  22.404560578358875,
  21.930400246718456,
  23.9022473006602,
  19.78208958039232,
  10.788204969324832,
  19.514705709889427,
  7.374291647359335,
  78.84083519311551,
  88.52792898272634,
  11.387467386296363,
  20.565011025492502,
  8.570391794499335,
  7.31505026526983,
  8.828252217121895,
  12.485127644024896,
  5.919267671046952,
  16.947035273691696,
  7.360548563256287,
  36.897096584746656,
  6.593570781726267,
  26.129310952096834,
  22.776335238277614,
  31.605014913723544,
  14.189367252374605,
  19.084226660510417,
  5.269842179532518,
  17.39863180887712,
  13.00531639531626,
  13.249998471409185,
  15.000753691360856,
  30.614864831823816,
  8.674751023433796,
  21.755283827925666,
  9.300770942962453,
  9.95842617222141,
  5.443883021659228,
  5.658120823515331,
  103.84257385504398,
  5.0973309350238685,
  8.81658768347664,
  41.081498694645326,
  10.980605443142597,
  26.423793783071048,
  17.941575677021834,
  5.834917377154341,
  7.2263600949098885,
  39.24013772105348,
  9.818918062955284,
  12.820372717043043,
  9.444640697520065,
  16.440060145844544,
  26.0726121487533,
  20.392906030226666,
  135.15300775334555,
  16.792459735865357,
  9.956702247066,
  27.65705891691254,
  14.947452536900247,
  7.72310618597229,
  34.89459901164314,
  7.184983633278999,
  12.186340987649084,
  36.33370877950307,
  5.071256822164062,
  22.45627452749489,
  6.4665727870973875,
  12.048990037815198,
  14.324996237332055,
  14.141061334813159,
  28.752233065827433,
  6.2985247284533825,
  11.099437081913962,
  6.586499522787839,
  15.819932981195237,
  17.109480422848655,
  11.56909510194862,
  16.007948484348155,
  10.302800236233983,
  7.465911443041442,
  6.010736296410903,
  6.592141956676468,
  9.91420949373525,
  19.653654252391338,
  5.75842633362315,
  7.5778154746959805,
  13.258258559006476,
  16.99041388449499,
  15.851938991799223,
  37.83791864506709,
  15.39140765752543,
  8.72641872336216,
  7.745781626930375,
  8.189727717088006,
  8.255562113185738,
  25.48591024318573,
  19.116623664923562,
  5.8201017396473995,
  7.748893302954421,
  9.903965329779894,
  55.16162578483315,
  22.679382669786563,
  12.186799460532677,
  5.627457594649682,
  8.568513366032334,
  7.464960080778573,
  5.897795964145188,
  21.52971327695114,
  11.613417942301014,
  13.808417236824218,
  7.684521362990264,
  24.855154781047805,
  15.32997867134217,
  16.92921464866289,
  29.737631896350734,
  71.95761443490696,
  6.40846121392531,
  22.21926870162846,
  6.2839591085719535,
  13.782165009343657,
  5.867490434373718,
  13.819193945572271,
  5.379620593933618,
  30.162651281571545,
  10.912719080984271,
  15.402562806914789,
  27.435157252621387,
  6.574412677042127,
  14.95533315010503,
  18.809943005079994,
  5.626387559947341,
  20.47678547513297,
  14.569120262497185,
  10.568925925694874,
  7.9013856933427835,
  19.86735773271197,
  25.46192335995892,
  7.336444460231373,
  11.616948413794544,
  20.598254222319532,
  5.2207844357896995,
  5.192226136419273,
  5.1876246357156175,
  12.396917518479786,
  12.869292076509087,
  15.262258631532301,
  8.284505790849352,
  8.6206242520415,
  20.711405733045467,
  33.020421379543436,
  10.55250457013719,
  162.13692826919632,
  15.899932976744564,
  12.13030291431713,
  5.728968084230155,
  10.631176357684783,
  5.113946444849278,
  8.862464249960391,
  9.622959914432347,
  15.358690499529356,
  21.192632086834514,
  12.778040411567765,
  21.646766632796886,
  9.930374848563277,
  13.22953334587744,
  11.207634327926185,
  10.449730722644267,
  17.337714662701792,
  6.35204103805039,
  17.79105016493457,
  22.83330049801159,
  21.69329731722405,
  6.703828643881184,
  8.174780648493169,
  5.1793242517465234,
  12.720014577835911,
  17.612125665376798,
  7.781647362278286,
  17.347014074546824,
  5.968597804186003,
  6.654582640685855,
  14.734597724729221,
  13.862636703472237,
  10.08148386779843,
  6.386394089499754,
  86.57824201179517,
  20.759696593279024,
  9.89324188658188,
  10.316873893008065,
  13.624745734500916,
  6.956029454092136,
  31.396015435433153,
  8.218458542049069,
  6.625993033439668,
  7.366324784629839,
  9.139442712480525,
  6.955607836023542,
  190.49913104648155,
  11.906374998936,
  8.736192700643905,
  21.966975196066187,
  23.80781577418655,
  31.704260388178263,
  70.74613153965052,
  134.35482436692186,
  19.902182445311894,
  14.977519206579046,
  43.504750650170074,
  7.687515618775903,
  11.094558601335443,
  20.146670411480315,
  8.349313946564441,
  22.651887345522486,
  29.693701747228708,
  10.453440988354263,
  5.38637466778068,
  5.743067126706868,
  8.011034732890153,
  21.418608461097293,
  16.202312165493954,
  10.739150654456736,
  10.548203417782343,
  6.8800134064729015,
  13.27521337925558,
  15.67805318821034,
  5.190127334864127,
  9.063362923895474,
  11.051416922835326,
  7.51362143012108,
  8.461127633401693,
  21.291660494922453,
  15.63137854725948,
  5.395406359824388,
  6.8389772855412625,
  6.094362448299085,
  16.353811829904647,
  35.5284078027254,
  21.723956678203542,
  10.089375536902045,
  5.181786633971399,
  9.48126762953324,
  10.836612625254016,
  7.649568337946021,
  5.886655135845719,
  7.1002110185890945,
  16.34347835106563,
  20.085786909124923,
  8.38970613590096,
  6.1995468451847815,
  11.057514086986462,
  5.241249680442176,
  23.070313149830316,
  20.73978211435665,
  5.0324705116307555,
  23.335956975752257,
  8.191200631990736,
  5.542669856313272,
  15.782663137653682,
  8.569912760469768,
  25.157433197236273,
  6.317844573649131,
  8.772194587885355,
  13.421570567323545,
  12.89767939041908,
  26.248022677501165,
  163.55325611579377,
  6.523195957196299,
  7.895193391842999,
  30.171947631111227,
  10.059996288434567,
  5.823627046418444,
  6.898837956181927,
  7.531336786937357,
  5.041518146952496,
  13.456983854118521,
  8.032146947510318,
  5.3754838563150855,
  16.054132168562724,
  14.650784687539648,
  19.768577654073205,
  5.040332101893753,
  23.359009384801745,
  11.239756107668349,
  9.815254726329629,
  18.959797936404264,
  18.607642326756057,
  17.508553029033635,
  16.266316943913168,
  17.308499503637716,
  11.846564106517128,
  5.694946087462284,
  13.44902269274133,
  6.552369451944102,
  14.9995849487196,
  5.728302882295749,
  5.331879282694899,
  10.718921334228508,
  23.382111971086758,
  24.913610599589592,
  31.898404678909362,
  10.203526495739395,
  10.188279825928127,
  15.236758887820676,
  81.16583346859964,
  13.92253064493543,
  13.023129612044563,
  8.700722947860415,
  11.462680281916226,
  28.927974457371494,
  5.062141229668123,
  17.388753430015925,
  10.404847566518596,
  23.872747418218943,
  8.354950443264421,
  18.26336785309729,
  7.280282735287568,
  11.924963457784278,
  6.046036948087193,
  7.464236735948993,
  19.961915670359854,
  5.682297572038342,
  7.582249272671284,
  10.363176306124078,
  11.010498708934271,
  21.030808854042956,
  9.544952842210352,
  6.492173453300351,
  19.254697200937397,
  8.744251101134536,
  6.190718060834113,
  16.0497121049401,
  11.5742462588245,
  5.939628042846929,
  7.801481559743631,
  12.485311132330578,
  12.41977199726865,
  8.004812925840483,
  9.22025686649647,
  27.919362513984463,
  9.073807089389708,
  6.029577674128005,
  14.176031957703826,
  9.432906320776278,
  11.11288167582271,
  18.31896705930234,
  6.79961768734437,
  6.710412034907496,
  29.16482113832848,
  16.69085472498944,
  15.640874939941131,
  30.78551228331654,
  13.02972869741287,
  16.765531678422143,
  11.357256451719318,
  14.613289885175666,
  15.763743459240905,
  14.809962878710083,
  6.629568371029924,
  9.14330507902098,
  18.161959366919806,
  8.320740380266683,
  19.017507494391538,
  6.568222685274019,
  30.007583595111193,
  11.939780635786846,
  15.123129036138469,
  18.811742631150345,
  6.865249522975164,
  75.76879155874508,
  10.224088882502654,
  22.70854844276076,
  6.834202603446871,
  19.029763865856392,
  5.291924561010347,
  15.31690685496546,
  18.293674483297103,
  13.58097298941279,
  6.4239544650206435,
  7.195460500418816,
  27.15231933921065,
  13.298329564714354,
  13.8747904498783,
  11.730539090294581,
  11.162238030822126,
  29.061276026681533,
  12.115799706056789,
  6.675480962705466,
  22.203386267799345,
  6.922160764394534,
  19.328310619270873,
  5.155749700293688,
  13.818896043568769,
  14.41102129044572,
  14.672110175152493,
  24.14904134760234,
  6.314704236418173,
  18.052244511022288,
  8.242861286893257,
  8.549397770930458,
  6.122044129968785,
  15.713567135390804,
  17.945752872145693,
  18.323612925154084,
  9.879038802343139,
  7.267347389281009,
  8.363054942276758,
  18.13528576815367,
  7.203268872186461,
  13.62512846098169,
  27.761970984221882,
  7.132922473617956,
  16.45482383524039,
  6.990914533935168,
  14.714991119452295,
  16.42186405079323,
  20.905538171829768,
  6.5353362928855,
  142.82079265765267,
  6.408396523661102,
  19.4082735263275,
  11.261875716507198,
  6.266179942591928,
  16.22490604421965,
  10.539755455326228,
  6.636874634057893,
  10.967949239694438,
  9.385900078912806,
  16.821923586876203,
  7.844487177231961,
  7.478546855295606,
  17.36574883529143,
  7.0903222504897405,
  7.231433650007438,
  7.350598037692165,
  6.995569765842519,
  17.363699018737794,
  18.589606319944192,
  6.984425486926924,
  15.128612146734287,
  19.172612255817782,
  9.37973516456726,
  7.515776159389616,
  7.661269807881984,
  5.964299092879148,
  5.286961479699615,
  15.654519215348758,
  5.82107688097708,
  14.313445028436021,
  15.563660543168309,
  12.263298701238515,
  9.61388127937018,
  7.371334800371626,
  14.685781484410501,
  5.565799329185914,
  15.5630308082299,
  8.04654036134104,
  8.623532914562166,
  16.32900667927575,
  10.503919548003283,
  17.554869069427518,
  17.202722617566273,
  6.749894725631768,
  48.75150663085345,
  35.350098973197476,
  11.419332881860127,
  16.904992681057053,
  16.926811332238863,
  14.530688599931773,
  17.25317874663149,
  6.969080986831445,
  15.770288083588925,
  26.01226567794846,
  18.392594644876187,
  15.780463364968726,
  13.28366565050912,
  13.245707634245033,
  11.937346934018716,
  15.221272364076201,
  40.316847707399205,
  5.534441402218608,
  12.575954812893727,
  8.183447923922051,
  11.481718311956762,
  13.265473807588277,
  21.017881036439437,
  6.080913875589815,
  5.734501881061734,
  35.13724138802455,
  10.327181625402618,
  9.185564509798521,
  7.05541908749863,
  9.549939103049917,
  10.920222727788474,
  5.908924668888488,
  13.636427473360754,
  29.150127787857812,
  18.394634549742698,
  29.91315997858465,
  6.89467451355047,
  7.209045960033021,
  5.246518763607367,
  11.541954875808054,
  13.573608694534554,
  17.83207488887781,
  5.375473440244056,
  15.879151632519717,
  16.903341335229904,
  7.761710438118548,
  18.513300455603776,
  9.37243646377547,
  5.802543706609608,
  11.422252419760438,
  7.641361008589683,
  7.271385640470246,
  13.32916171478485,
  9.915586103844708,
  9.57422831797055,
  8.419876816190753,
  6.970965019599741,
  5.223691688264783,
  7.288177643800239,
  6.260234016774173,
  19.27011606933406,
  9.95491557762576,
  17.466817404471517,
  14.676237291997403,
  6.335035178200979,
  7.516016611306229,
  8.883278735169588,
  6.011362968852693,
  5.119673346713343,
  8.376904101234686,
  15.455862242836233,
  8.121008907593199,
  12.113320231181003,
  11.167323300484641,
  13.556211377124583,
  11.629619315197491,
  14.981861956696713,
  7.214412822967012,
  5.602743820222234,
  11.685278366653533,
  5.849809546822516,
  5.493975127572396,
  17.832954039658997,
  8.442203254199507,
  15.07789679890771,
  13.202205227676476,
  15.389251360512915,
  16.35490353900938,
  5.2226706180403575,
  5.430139085208997,
  8.324629442719367,
  5.767541976575615,
  6.042289158070636,
  5.294130187026622,
  6.616574817818387,
  5.927503858485242,
  7.386756125338521,
  10.37002227074376,
  8.128914320967619,
  9.12630390955457,
  5.716650522076948,
  5.510548461405819,
  7.357498181759542,
  13.03234492547599,
  27.57603619403363,
  6.977109417732059,
  10.404149388139963,
  14.655575027781849,
  7.798142526704725,
  12.457176042714854,
  5.683025271632479,
  11.810200530602252,
  25.797553739853505,
  10.745521437218947,
  10.495611356258634,
  9.850780434370632,
  9.224652268441506,
  5.283230371987155,
  7.539279569246825,
  10.78336182558187,
  10.290726944485302,
  8.035690509191225,
  5.106512557072191,
  13.941273399370711,
  5.8500302849637675,
  8.590003863682297,
  7.256106755910523,
  7.942616020348766,
  5.097377596563311,
  13.119472447624096,
  11.11089187796038,
  9.357504516728644,
  5.863508595018191,
  7.8232491331158105,
  19.208839904600968,
  8.175419320864949,
  19.46764324514904,
  7.818080558463207,
  11.629374438647718,
  6.4658443548164835,
  6.2914733788372565,
  7.547800281745264,
  14.857165271766378,
  8.004724733177554,
  11.994720123949179,
  5.466297963705258,
  16.731747518443804,
  10.641956606357374,
  18.74028357366174,
  22.844163438478084,
  8.158941429521164,
  7.895353419778235,
  11.625970727901832,
  14.494977751749538,
  14.620523678443156,
  7.256352369714457,
  13.635937233521531,
  6.853540861748702,
  5.192492919592518,
  16.57698521582283,
  17.039236891150978,
  8.16712636752565,
  16.159799163806735,
  7.865033031971543,
  5.871501998175183,
  18.009208239043055,
  11.062502006672888,
  8.413895954527792,
  35.853180491873076,
  16.264868188432587,
  8.497725424469163,
  14.408998595080986,
  26.727926052313745,
  7.098302155869798,
  15.387624819340685,
  20.198971686028393,
  5.759064588857624,
  11.625912750224016,
  17.13775896283426,
  7.308957669070798,
  6.211355042655722,
  27.34715034810737,
  8.432971762130554,
  17.38254313956687,
  7.776274642974429,
  52.76874913016117,
  8.05367351618852,
  15.154212135442453,
  17.260043286969687,
  6.253069718419182,
  5.192492919592518,
  18.56900257009105,
  19.597865418645398,
  26.620287161121336,
  7.5557576864484695,
  7.751429661292753,
  6.156615902050596,
  12.54512412872429,
  6.682167824671457,
  17.88777718658225,
  18.616944256404814,
  9.341295991993087,
  14.16652582505891,
  36.89543365113501,
  13.011617954625965,
  6.9305842417385755,
  7.667601401319281,
  8.776764905931577,
  6.555860974364922,
  18.673273795437126,
  8.880613368791998,
  14.505043074090898,
  10.170901897369626,
  14.821531509976012,
  5.827364242460718,
  16.704709337431733,
  7.078200109294538,
  11.324070801130759,
  14.690449641411497,
  16.30855311889756,
  5.375666873760443,
  11.485810917285908,
  21.689637326355655,
  15.26708543884638,
  ...])

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);

([3233013.9140250813,
  3321376.8311738353,
  3428065.1836859803,
  3458655.1324540507,
  3503816.8799012457,
  3635331.958618449,
  4368973.2161615975,
  4408919.117295488,
  4542874.020265146,
  4582959.375,
  4752517.1875,
  4752525.794733301,
  5142481.9560898105,
  5450604.668318619,
  6161380.048681091,
  6363830.902915428,
  6460961.8809551755,
  6477008.25279105,
  6482229.6875,
  6787591.7960648,
  6885046.091704186,
  6892339.121473235,
  6909162.855879997,
  6935274.666269475,
  6940785.410760077,
  6943044.502127035,
  6944010.931768442,
  6985207.524875965,
  6992269.671740794,
  6992352.888216092,
  6996626.410805417,
  7002209.055700495,
  7051491.8113654405,
  7165832.8125,
  7248098.231787791,
  7376571.472490174,
  7405496.117537646,
  7411334.375,
  7415554.6875,
  7444448.4375,
  7485500.780946038,
  7502038.393101411,
  7516560.181794302,
  7519833.3421906335,
  7534424.50343928,
  7549162.01129896,
  7560421.334998123,
  7581364.221329675,
  7583266.489918689,
  7584190.6469802465,
  7590029.608043925,
  7592856.250669783,
  7593853.703000529,
  7595548.224272489,
  7630094.59702455,
  7691656.7334988965,
  7727232.753934512,
  7737746.986723361,
  7769306.746512506,
  7770790.922537088,
  7773578.9129549805,
  7776151.003824469,
  7778575.738324627,
  7779588.274519496,
  7779656.223256057,
  7779973.4355696775,
  7781026.010223399,
  7781156.25,
  7784093.321947347,
  7789554.097656806,
  7793258.962184034,
  7794160.614020299,
  7798642.769082712,
  7801487.074511141,
  7806321.875,
  7806331.464692908,
  7806355.246943181,
  7814948.432378801,
  7825221.934213687,
  7828109.532020055,
  7851502.378080915,
  7851617.628126985,
  7853900.380109773,
  7856906.103506417,
  7859489.2638893565,
  7860506.064220258,
  7860607.966027267,
  7862854.6875,
  7864416.187010569,
  7868303.617181586,
  7869154.4807421565,
  7939400.269274576,
  7941862.339110078,
  7943258.842758505,
  7943721.765642313,
  7961310.857752979,
  7963616.223074091,
  7963682.049387319,
  7966157.8125,
  7966174.2849649275,
  7992090.491469208,
  7992130.539610196,
  7992145.127842469,
  7994483.147431004,
  8012618.058495002,
  8047045.699160907,
  8050591.1022414705,
  8051823.4375,
  8086018.714566769,
  8088326.5625,
  8088337.5,
  8088950.816872239,
  8109211.292808993,
  8124689.0625,
  8129772.156391129,
  8130285.198473332,
  8131259.375,
  8131288.343555778,
  8133355.774360011,
  8133627.692469166,
  8134562.449105601,
  8134696.756457215,
  8137156.345179058,
  8137594.734681209,
  8138893.135247831,
  8139011.909534397,
  8141071.23950463,
  8143863.279555096,
  8143874.457727621,
  8152091.569980802,
  8160473.938338766,
  8171183.763650514,
  8172234.461362576,
  8176185.253678948,
  8189730.6978832,
  8200637.063957189,
  8204663.5040146895,
  8205502.589752843,
  8208140.005250864,
  8209112.226490783,
  8209651.872369857,
  8217002.084437568,
  8240131.25,
  8240668.269413767,
  8252270.987930395,
  8254272.684478908,
  8254650.704441442,
  8257767.499084245,
  8259050.193844789,
  8259216.217422527,
  8259640.443787685,
  8260749.78576074,
  8260763.6960945595,
  8261341.292547931,
  8261504.005878937,
  8262642.48172328,
  8263352.411057269,
  8264463.414615074,
  8264466.439408646,
  8267308.928667781,
  8292415.625,
  8292612.847665795,
  8296852.306463504,
  8298608.638121104,
  8304151.776502148,
  8304659.309761082,
  8306600.0,
  8333970.378804845,
  8368593.617080717,
  8374611.844988256,
  8380529.243942817,
  8380581.4489606405,
  8384879.6875,
  8385965.3768406445,
  8386427.447156576,
  8391214.0625,
  8397220.481675802,
  8417799.531268734,
  8448939.74475347,
  8465539.183929777,
  8502637.37260476,
  8515618.22437106,
  8534123.53778725,
  8534131.25,
  8534132.828799699,
  8534389.54929583,
  8534426.333972983,
  8534749.204348268,
  8534870.152715217,
  8534899.39367399,
  8536173.4375,
  8536697.7878412,
  8542320.816391256,
  8550606.25,
  8552895.3125,
  8553366.769440502,
  8570514.858200673,
  8573509.626711197,
  8575162.395715958,
  8618951.12405528,
  8622502.596516423,
  8641650.824270463,
  8654907.98279311,
  8666395.3919078,
  8671830.150248123,
  8691245.3125,
  8724481.603707997,
  8729425.99870146,
  8736994.745718043,
  8740348.942098439,
  8741016.432027528,
  8742972.188756896,
  8743906.25,
  8744051.5625,
  8745237.5,
  8746761.711871257,
  8747076.605535617,
  8747323.96844191,
  8749025.825917672,
  8749648.268933576,
  8749731.25,
  8749784.329318546,
  8749998.379203534,
  8750786.497107377,
  8753118.75,
  8753276.5625,
  8754225.039100407,
  8758660.427760988,
  8761202.169643525,
  8764819.592378609,
  8765633.502133092,
  8767293.150368474,
  8770387.5,
  8781651.864042358,
  8782076.19002139,
  8789647.834206214,
  8795615.197575603,
  8795955.512831446,
  8799055.938123321,
  8799913.865468612,
  8801668.159457052,
  8801690.676210726,
  8802707.392839836,
  8802842.965565382,
  8804848.11791955,
  8805235.9375,
  8805437.12334303,
  8805630.424942879,
  8805724.199926523,
  8806596.73425239,
  8807102.680070193,
  8808009.375,
  8809940.584604535,
  8810851.452539362,
  8815871.875,
  8818608.884540554,
  8818860.724158168,
  8819638.156271096,
  8819896.521851895,
  8819973.792353176,
  8820038.939174999,
  8820135.302882578,
  8820171.606771268,
  8820917.504369918,
  8821250.148823164,
  8821484.769404862,
  8822044.992471399,
  8822526.771812173,
  8825414.0625,
  8826239.662623642,
  8827887.535117036,
  8828182.691659972,
  8828572.954331461,
  8828869.51577012,
  8828980.782905187,
  8830894.48835677,
  8831090.63213368,
  8832059.941415792,
  8832450.812599106,
  8832562.15069245,
  8832592.558574269,
  8833054.60115438,
  8834643.620174464,
  8836631.22501631,
  8836787.363480056,
  8836909.199321382,
  8837003.179799723,
  8837053.090088129,
  8837462.140774475,
  8837534.830936218,
  8841916.87264134,
  8842452.552645069,
  8842611.837802805,
  8848834.048810659,
  8854165.250310058,
  8856934.36354739,
  8860636.256806687,
  8898593.937865017,
  8969998.4375,
  8978053.412094675,
  9000733.4410982,
  9001331.18016514,
  9019642.714211997,
  9020767.562641865,
  9025337.763381815,
  9026603.023277877,
  9030803.125,
  9045420.076069359,
  9045993.382991709,
  9046752.029367786,
  9047052.216470782,
  9048098.985978182,
  9048635.838129787,
  9048866.43791041,
  9051562.974740567,
  9052934.438907275,
  9053129.95455544,
  9054703.73911806,
  9057800.056608088,
  9057860.708867833,
  9060303.963325,
  9061085.256793043,
  9061429.290222082,
  9061429.6875,
  9061461.09756447,
  9061774.401642838,
  9061847.375721332,
  9062310.063613992,
  9062738.400792863,
  9063205.411271421,
  9063299.765817152,
  9063310.81209359,
  9063338.337652722,
  9063373.4375,
  9063485.022214526,
  9063563.081038544,
  9063726.182186311,
  9064385.67920198,
  9064741.97510296,
  9064984.040431818,
  9064989.921565285,
  9065038.869751832,
  9065104.912964983,
  9065108.846995996,
  9065179.053492995,
  9065541.423584696,
  9066336.605863985,
  9067582.722445909,
  9067860.901049158,
  9068064.721346086,
  9068151.139111836,
  9068174.207655307,
  9069435.9375,
  9069512.442741236,
  9069786.821189787,
  9071896.875,
  9075385.841305528,
  9076356.342602447,
  9077674.149749067,
  9081356.529013125,
  9081386.322102064,
  9082689.0625,
  9083423.962792423,
  9088532.489495832,
  9088595.443452025,
  9088811.281985108,
  9090245.174854012,
  9090413.44465371,
  9090737.584975457,
  9093558.2259565,
  9094866.2822362,
  9097048.392086647,
  9100984.376558373,
  9101742.507188633,
  9110086.02213608,
  9110215.861296006,
  9111081.835944122,
  9113646.875,
  9114900.129392302,
  9115753.64408219,
  9116252.992847368,
  9120698.956502657,
  9122367.015767109,
  9122443.522848228,
  9123951.055116685,
  9127178.368988808,
  9131385.91933831,
  9131599.043632174,
  9131851.507917011,
  9132456.042562384,
  9133054.952653427,
  9133311.191727933,
  9133519.71178468,
  9133563.666152237,
  9133638.284189487,
  9133677.201434152,
  9133724.054739807,
  9133978.980960226,
  9134047.657352872,
  9134093.679160075,
  9134207.287560828,
  9134244.2005149,
  9134508.477133758,
  9135135.480876308,
  9135321.732246215,
  9135328.873413093,
  9135408.190135494,
  9135431.062252875,
  9135468.690885646,
  9135602.949695347,
  9135630.735049129,
  9135656.332390849,
  9135722.26052726,
  9136136.545006132,
  9136792.1875,
  9137693.361228433,
  9138006.836163647,
  9138234.614940744,
  9138377.060128076,
  9138463.663285078,
  9138754.196968952,
  9138905.753662469,
  9139011.227502145,
  9139055.917157872,
  9139273.656781388,
  9140546.656806806,
  9140820.98300576,
  9140831.689182393,
  9140845.985688593,
  9140968.75,
  9141113.541866742,
  9141441.757338975,
  9141639.194019185,
  9141785.86941609,
  9141875.697919378,
  9142219.983198155,
  9143118.24791698,
  9143289.05367514,
  9144057.670461118,
  9146651.678423055,
  9147465.56743143,
  9147522.410309326,
  9150828.128622096,
  9152289.806162927,
  9152712.720983043,
  9152715.01670412,
  9157782.711243823,
  9159035.54795841,
  9162191.38039462,
  9163543.069967419,
  9166659.198111193,
  9167269.509258002,
  9168678.416968424,
  9170448.256156959,
  9171452.23061948,
  9171512.054804249,
  9172032.18093175,
  9172464.746643985,
  9178327.38215391,
  9185640.706681868,
  9188999.996080643,
  9189438.082434218,
  9189508.436068809,
  9191575.0,
  9196368.34795132,
  9197413.878919052,
  9197737.730612384,
  9197906.50641203,
  9197928.468415126,
  9198999.657278,
  9199307.021354578,
  9200160.325447667,
  9200511.263294082,
  9200687.605309706,
  9200744.416869305,
  9200760.224418378,
  9201405.765267583,
  9201495.94502709,
  9201641.651878066,
  9201981.300540335,
  9202329.20564891,
  9202695.526400395,
  9203135.018261893,
  9203275.589275328,
  9203488.687114453,
  9203676.082337333,
  9203934.068540467,
  9204045.094933404,
  9204120.902099473,
  9207425.825225161,
  9207452.122217655,
  9207459.842732646,
  9208392.701927505,
  9208398.766716704,
  9209738.491268842,
  9210039.007134072,
  9210374.684888413,
  9211839.833767463,
  9212535.263576489,
  9214410.9375,
  9215071.298196618,
  9215749.034778615,
  9215808.78592295,
  9216676.168056343,
  9217436.830968352,
  9217787.5,
  9221249.86892611,
  9221374.269831069,
  9223530.54375369,
  9228221.638904104,
  9228910.266655196,
  9232265.161359984,
  9232875.44692498,
  9233653.888344515,
  9233891.733726917,
  9238155.1327243,
  9241921.875,
  9244323.4375,
  9245061.445485434,
  9247386.824218012,
  9248458.000659028,
  9266246.038367841,
  9266704.914655933,
  9267234.353688791,
  9267289.97525474,
  9267746.991781147,
  9267911.058628185,
  9268407.979739064,
  9268612.021076534,
  9268812.179856334,
  9269020.86828937,
  9269110.377373878,
  9269421.966504209,
  9269500.295639,
  9269573.173828235,
  9269580.84466448,
  9269595.869348286,
  9270011.98133402,
  9270013.167642487,
  9270724.470046632,
  9270760.602526162,
  9270842.194141574,
  9271024.745235587,
  9271039.378609,
  9271095.16150777,
  9271334.544940531,
  9271726.482023021,
  9271731.616629578,
  9272100.0600139,
  9272322.201988498,
  9272336.979254458,
  9272528.002736973,
  9273157.028312923,
  9273231.94155796,
  9273393.922074951,
  9273462.305427076,
  9273506.376306156,
  9273716.561161844,
  9273749.918576058,
  9275447.199875353,
  9275549.346317384,
  9275559.565056218,
  9275632.257597324,
  9276348.39212389,
  9276860.797711847,
  9277232.45729698,
  9277844.733515363,
  9278019.767059335,
  9279100.52663465,
  9280460.75267883,
  9281309.571012074,
  9281698.761228994,
  9312067.687432755,
  9321205.484599872,
  9330931.640617415,
  9332478.94277599,
  9334172.972011968,
  9334863.39826534,
  9339636.140963098,
  9341451.820489774,
  9342108.039017698,
  9342649.178492745,
  9345167.774061536,
  9346811.689485488,
  9348236.067031303,
  9348992.829569113,
  9349066.98423083,
  9349629.685970007,
  9350183.922122722,
  9352271.360745605,
  9352629.072814759,
  9353631.514192248,
  9358565.546575049,
  9361044.665440794,
  9361848.365465596,
  9362426.23120117,
  9362625.07052213,
  9363553.646693802,
  9363566.62024614,
  9364809.68892146,
  9365049.921008984,
  9365884.134365,
  9367116.132693894,
  9367754.17661156,
  9368760.750288827,
  9369429.231796274,
  9371014.466657773,
  9373179.70265381,
  9373344.08328889,
  9373937.203974664,
  9374432.534221534,
  9401739.843192851,
  9402859.714958427,
  9428928.125,
  9433525.87810384,
  9434825.865000451,
  9435678.850308161,
  9436784.375,
  9436827.829241434,
  9437244.347560562,
  9437947.583839368,
  9438259.579232141,
  9438917.1875,
  9439827.750069037,
  9440015.520039815,
  9440347.919949794,
  9440686.204969728,
  9440932.939594695,
  9441503.31661061,
  9441538.07162086,
  9443064.518973136,
  9443276.148069568,
  9443999.598603938,
  9444254.174625503,
  9444657.421174854,
  9449237.441594906,
  9451963.511329345,
  9452203.048697026,
  9453551.01487419,
  9456695.554700518,
  9458385.969844231,
  9460717.991942436,
  9460967.963105299,
  9461229.057193622,
  9461383.31124484,
  9461925.26805695,
  9462626.565054787,
  9463397.39175658,
  9467521.036352957,
  9467650.69449412,
  9469033.801254671,
  9469270.178061008,
  9469448.406159975,
  9470099.6787881,
  9470775.980294876,
  9471401.346044255,
  9471734.492652224,
  9471921.865494594,
  9472102.234576672,
  9472293.92822746,
  9472832.540603746,
  9472878.125,
  9472926.956474125,
  9472929.859635124,
  9473135.45078758,
  9473550.95061836,
  9473670.72082417,
  9473715.767057147,
  9473815.536137542,
  9473929.88770082,
  9473937.465053748,
  9473983.664924202,
  9474016.95634039,
  9474324.085611394,
  9474400.064048905,
  9474569.263813432,
  9474617.68624206,
  9474633.682975229,
  9474786.401550695,
  9474840.671847736,
  9475012.217462033,
  9475122.364122808,
  9475268.75,
  9475314.958168214,
  9476201.631339345,
  9476615.969091114,
  9476624.211663222,
  9476679.714582833,
  9476693.0837408,
  9476824.793638755,
  9476952.715514222,
  9476960.522554874,
  9477140.899254192,
  9477235.26483421,
  9477257.302348638,
  9477357.501335206,
  9477364.416730132,
  9477384.396980247,
  9477386.849903874,
  9477389.614359297,
  9477535.479990574,
  9477558.813226683,
  9477578.870933056,
  9477595.027369287,
  9477641.769942649,
  9477655.920600398,
  9477738.9159916,
  9477782.739977686,
  9477840.35555459,
  9477850.366978643,
  9478120.651403582,
  9478131.166407237,
  9478203.590993093,
  9478222.195215868,
  9478318.938812746,
  9478459.986562504,
  9478808.48527761,
  9478836.52117146,
  9479163.027384842,
  9479282.954373537,
  9479501.740516542,
  9479629.989863856,
  9480385.543187238,
  9480492.147753295,
  9480576.605957922,
  9480734.707491493,
  9481347.916495228,
  9481462.439273186,
  9481959.715814576,
  9482454.067381896,
  9482920.613513924,
  9483164.520175476,
  9484460.41642214,
  9485714.478863528,
  9486431.334174166,
  9487342.17943494,
  9487934.675364997,
  9488280.83819548,
  9490596.205790639,
  9491576.457829835,
  9492756.31375535,
  9493443.912912535,
  9493549.058648955,
  9494485.579067431,
  9494969.267688565,
  9495124.880239926,
  9495481.652495483,
  9496858.6179422,
  9498997.935954925,
  9501975.517332222,
  9503642.959741944,
  9514146.326755704,
  9515835.503284967,
  9516330.48099903,
  9516582.869112201,
  9516599.751529638,
  9516700.157649796,
  9517269.031479193,
  9517824.865853703,
  9518725.175281834,
  9523842.28295285,
  9525312.324846907,
  9526638.357989801,
  9526969.372437382,
  9527044.066192346,
  9527572.747329932,
  9527948.368748942,
  9528613.156211888,
  9528703.150841424,
  9530226.079219725,
  9530341.212107077,
  9531572.645411614,
  9532635.498057213,
  9532745.862590073,
  9534237.988993226,
  9534245.243934292,
  9535340.625,
  9544497.102720948,
  9547884.553891536,
  9548264.017421233,
  9549680.126235114,
  9551207.700372765,
  9562231.747951746,
  9562433.76180884,
  9582537.701678827,
  9583089.53262676,
  9585242.87063061,
  9585732.73677045,
  9587526.046952432,
  9587826.60753471,
  9592641.08780812,
  9597236.009012587,
  9601534.375,
  9641914.090507962,
  9647699.504597766,
  9648182.612252884,
  9650008.027764479,
  9651172.915233344,
  9651639.07802026,
  9653512.430619743,
  9654070.73978151,
  9655124.409561262,
  9655761.919412283,
  9655868.572336229,
  9656752.86770059,
  9657959.622618709,
  9663829.550574888,
  9664293.393207138,
  9669622.550189262,
  9674550.0,
  9675461.62093522,
  9675603.125,
  9675897.498328762,
  9676356.573062668,
  9676460.986499602,
  9676603.374786893,
  9676869.900469536,
  9677225.595942011,
  9677233.760030102,
  9677413.936342038,
  9678066.37231021,
  9679134.792882646,
  9679780.38850414,
  9679795.360632747,
  9680327.969228365,
  9680673.618108016,
  9680893.854189513,
  9681000.54123663,
  9683405.795784654,
  9683606.868545093,
  9684733.08636444,
  9685050.243842775,
  9687941.582323907,
  9688032.027436567,
  9688128.723429171,
  9688406.194677792,
  9689045.485716786,
  9689555.343066677,
  9689586.472620515,
  9690357.74111721,
  9690645.831202742,
  9691127.877231477,
  9691377.542791883,
  9691642.978282968,
  9692004.173808077,
  9692011.104490755,
  9693009.503704283,
  9694988.735710705,
  9842631.800649991,
  9845425.025198413,
  9861083.956941858,
  9862477.813135484,
  9862487.51054683,
  9877912.842217222,
  9879893.543914251,
  9881887.82965234,
  9881905.160271553,
  9882153.854534285,
  9883234.971084433,
  9884450.283136155,
  9885528.160328485,
  9885710.39165062,
  9887347.00116996,
  9887556.577211535,
  9887628.864124494,
  9888532.054318378,
  9888931.321270553,
  9892211.852018092,
  9893280.797651798,
  9894131.348197814,
  9894419.52909978,
  9894873.299812095,
  9894972.796482757,
  9895343.204384562,
  9896035.626962606,
  9896459.122052496,
  9897136.091824373,
  9898143.276829341,
  9898830.515300984,
  9900270.737068785,
  9901059.32517533,
  9920918.170883982,
  9921644.794390306,
  9923042.110403081,
  9924188.008542858,
  9927249.148807645,
  9936830.870521976,
  9936917.584265394,
  9937066.104094299,
  9937407.553409204,
  9941424.554103637,
  9942547.431390287,
  9942773.30849365,
  9944849.74353313,
  9946115.444634061,
  9949286.949369095,
  9952613.451756775,
  9952938.55589359,
  9953700.405047406,
  9954093.460248038,
  9955537.97561485,
  9956095.845353844,
  9957303.61362607,
  9958908.662525924,
  9963089.007618906,
  9963305.672800196,
  9965990.614215631,
  9968665.655708369,
  9970149.085169613,
  9980452.132417293,
  9982464.860843722,
  9982535.721212307,
  9984931.553339288,
  9986400.557354791,
  9986919.048873898,
  9987054.55060896,
  9987754.877250502,
  9988404.531577813,
  9988471.852693921,
  9988543.17606129,
  9989400.330689223,
  9989440.730152251,
  9989453.966814905,
  9990202.7902921,
  9990335.108803386,
  9990360.887799447,
  9990435.688079592,
  9991021.053865565,
  9991442.484484706,
  9991613.94019761,
  9991681.37168226,
  9994598.92697616,
  9995723.046879474,
  9996975.434847504,
  9997057.378048202,
  9997875.37175573,
  9999118.768001223,
  9999410.704572983,
  9999569.036697526,
  10000260.045123996,
  10001147.623280652,
  10001494.678425102,
  10003039.02037959,
  10009486.170743693,
  10010396.856469097,
  10012124.753994884,
  10019139.441524282,
  10020031.102903448,
  10020384.427331813,
  10020632.723697284,
  10020735.136482121,
  10021367.720296511,
  10022539.854161901,
  10022687.796952512,
  10022827.039854886,
  10023328.793310106,
  10023524.544837192,
  10023865.562545704,
  10023879.95444114,
  10028854.240875049,
  10033105.141855653,
  10035184.043051504,
  10035599.531981131,
  10035710.992207797,
  10036283.311665146,
  10037490.512347765,
  10040533.940548202,
  10042341.264738984,
  10046351.045725593,
  10049792.67561014,
  10050579.554288736,
  10052353.516949281,
  10052424.0715691,
  10052718.826020317,
  10052819.89095036,
  10053516.229929248,
  10055574.153610105,
  10056015.636676647,
  10058457.593144266,
  10059449.300676223,
  10060813.443532376,
  10060814.845486447,
  10061347.049517838,
  10062896.137122748,
  10065128.550105076,
  10065214.786728462,
  10065218.163985493,
  10065712.380572774,
  10066111.787481893,
  10066309.466754368,
  10066517.366761724,
  10067528.521649543,
  10067757.645368336,
  10067998.559597276,
  10068051.495034382,
  10068148.755206319,
  10068265.015315456,
  10068553.342628427,
  10068787.019478776,
  10068789.145374449,
  ...],
 [5.24100869980833,
  10.55498377187915,
  5.782032810478339,
  9.738283892747694,
  5.331490737435327,
  18.565354389736903,
  24.810376135729665,
  16.554378936432713,
  88.82760366686544,
  49.68255185506684,
  59.04391714190463,
  7.3473043163667295,
  18.548025439886153,
  12.620623643130209,
  16.523524098889048,
  23.16737371354931,
  19.054919594745485,
  12.78104449407046,
  41.08445298059891,
  29.514903879401025,
  19.06673956243936,
  11.2211541254976,
  16.49689925302909,
  8.117642520058157,
  8.02637655895725,
  6.007695616848192,
  8.283548705779385,
  5.6886941403965094,
  75.38379167738154,
  31.37495685180226,
  15.976690394520809,
  60.734590709377954,
  22.82461986758779,
  84.41767467406478,
  17.64145305768927,
  106.41637054695994,
  12.67220319277033,
  81.57208941237243,
  69.95288699861288,
  52.992829434970915,
  7.343074370833832,
  8.822999034080922,
  111.29177359764067,
  5.141986373494094,
  13.335475294268162,
  21.606558763921814,
  14.5677291814328,
  8.372393799685334,
  6.182911379261829,
  34.06669749416533,
  92.71153255380102,
  5.706800635560976,
  9.873140922572992,
  19.988013767947393,
  19.58293328595402,
  20.61198706160655,
  151.26971555432317,
  22.666365365538525,
  14.119611752239901,
  21.594427930640812,
  26.107252827106215,
  69.31729144389966,
  22.97794329446528,
  43.642613217674736,
  35.10379094937643,
  14.934157036776911,
  20.986996535182453,
  59.55439595655877,
  10.518637775331008,
  19.382597809519947,
  8.079705903773588,
  8.122616120616831,
  9.876865002725092,
  10.521960375515896,
  44.399802782821624,
  15.82823977501292,
  23.61074436295906,
  11.119711462818477,
  31.182570739594226,
  7.661033893537377,
  10.131482969876622,
  6.558455290423341,
  6.5483746218821475,
  6.072996516381044,
  11.457791036920023,
  20.110757840062295,
  15.019070102442004,
  87.49556885061428,
  9.856578440585697,
  6.140822254942707,
  5.452961692098628,
  61.042394550165625,
  14.244767279503797,
  46.52303735128189,
  35.70834415125618,
  6.474662430033519,
  5.745908461441704,
  5.659853781112216,
  48.400152585240356,
  6.3805555182498255,
  54.36074515955195,
  10.173358270578039,
  6.458528970096493,
  11.694952397248723,
  7.3709181506952595,
  7.22694296028574,
  9.770403430599249,
  29.75420982837279,
  7.590472166399126,
  36.60181447300322,
  40.2516723506717,
  19.349040129262857,
  5.84074631978134,
  36.074645008322825,
  8.44120655373101,
  19.399629559278512,
  66.77978393742181,
  6.016395674696461,
  8.959191780663478,
  10.5128427380717,
  9.288736676502204,
  84.33452957653569,
  5.821056427881395,
  37.66911465945214,
  37.948403076149326,
  10.315191287581841,
  8.846247348819048,
  12.612624324140661,
  10.904408669789268,
  7.394183961965041,
  17.26952342272185,
  20.449871089162627,
  15.22384638533639,
  14.067909141717319,
  10.362011872624203,
  29.150423025792364,
  13.168672610991248,
  10.382841300385953,
  20.37629772986656,
  93.82007082535371,
  6.536788477317494,
  9.815502721884023,
  47.78715190937224,
  10.451333162073377,
  6.161272047669544,
  12.682674869432052,
  7.879573768049647,
  9.60953529234392,
  9.500870793907168,
  19.379597919191067,
  7.538985345429082,
  14.183309970140396,
  6.692496698201475,
  6.355390540799523,
  8.81467643952007,
  16.195560636855735,
  7.363932115171981,
  8.83772362744364,
  45.62082193653273,
  10.495051052168096,
  73.05600874808009,
  13.902793159021089,
  6.006923182127832,
  10.142932535109274,
  15.82514906113037,
  6.258990937686497,
  71.34776378775534,
  6.275612009450132,
  41.82867942819193,
  50.998424321304384,
  13.48333430354622,
  5.406134971837228,
  77.61466460956123,
  37.50648040869329,
  12.864008534110901,
  36.87209232569348,
  15.628073171441699,
  8.053339932951978,
  99.21977651595344,
  11.322966426123696,
  14.477197607463225,
  13.069559607528657,
  15.33805024335899,
  63.0678231441412,
  5.940826259564791,
  5.483055610434024,
  20.57632070583686,
  62.53072846099877,
  14.365559936091804,
  6.396066980505379,
  28.79838790657395,
  12.934039212898268,
  22.860072550188754,
  29.645290262179326,
  47.264444341382045,
  5.783681724722544,
  10.108944770462937,
  11.545342400487048,
  5.394502260689286,
  13.226895951546563,
  13.248707344780488,
  19.405761679111563,
  49.31739743108379,
  67.31574901568364,
  11.937229464461158,
  56.348550901686274,
  186.9640960673296,
  20.879439381886908,
  61.82108039929889,
  6.333127609076546,
  7.351086247692555,
  16.289399463281764,
  69.02811543520899,
  45.19411903936351,
  106.53629691450422,
  12.60060846702374,
  5.616429418578405,
  9.824679037557365,
  24.576249494752602,
  14.335714366419035,
  40.51417761537253,
  5.3967305403557555,
  12.62366903294177,
  12.131723411437378,
  74.47083221389619,
  43.249889815572054,
  12.86493570353353,
  41.165733096565006,
  12.904387619266894,
  194.80379814103793,
  12.40902207725552,
  15.641267746196473,
  81.62775648488214,
  16.23054812428483,
  6.691354698318761,
  7.398698282814999,
  20.92026732996588,
  6.17834826144074,
  23.600209829868128,
  59.931167279681105,
  5.582188447853076,
  70.46201450232367,
  22.333804308288656,
  93.379318931842,
  8.124511435316823,
  106.86442975163042,
  26.444423258160093,
  5.755355197087989,
  18.94438971169753,
  9.21516264230654,
  29.050105545622095,
  47.829314941155886,
  27.749912055155978,
  24.318152781539617,
  98.86609337781113,
  5.676239016448468,
  5.2392132687692055,
  12.248531555752852,
  6.052129027825188,
  16.491755465129327,
  9.229257365311447,
  8.846852582032769,
  5.794396674924683,
  9.614520915486755,
  7.657966223335635,
  16.69308318758398,
  13.847538519355174,
  24.323761696144473,
  66.90109775277531,
  20.786652727090228,
  7.61598848984847,
  14.500094674567766,
  21.662662441320567,
  12.580748289259537,
  5.588715605747417,
  10.04490532132117,
  11.138875541011844,
  6.882112992450217,
  22.10966093029117,
  9.052533677753525,
  11.761881393110947,
  10.995372913663374,
  14.468734886904336,
  14.847130746391896,
  14.445496640168356,
  5.391800206497578,
  11.214456420563682,
  11.07357228555376,
  13.728870488043222,
  6.136831596620295,
  23.562780417465078,
  7.408562648504016,
  5.665871422165952,
  14.116190294363467,
  82.01899106663336,
  7.599100715199931,
  6.5383380289126665,
  9.495471301288799,
  40.87151049056268,
  8.444466023537322,
  7.297113059202602,
  5.339534378327724,
  17.41787069958593,
  6.547551152165389,
  134.41982270492065,
  14.56746709185592,
  69.1308247163485,
  6.237782155310369,
  7.475680035882823,
  8.549923986120882,
  18.200020384903564,
  7.273501223931766,
  5.394688742240137,
  32.752149115530074,
  5.849962403499808,
  22.404560578358875,
  21.930400246718456,
  23.9022473006602,
  19.78208958039232,
  10.788204969324832,
  19.514705709889427,
  7.374291647359335,
  78.84083519311551,
  88.52792898272634,
  11.387467386296363,
  20.565011025492502,
  8.570391794499335,
  7.31505026526983,
  8.828252217121895,
  12.485127644024896,
  5.919267671046952,
  16.947035273691696,
  7.360548563256287,
  36.897096584746656,
  6.593570781726267,
  26.129310952096834,
  22.776335238277614,
  31.605014913723544,
  14.189367252374605,
  19.084226660510417,
  5.269842179532518,
  17.39863180887712,
  13.00531639531626,
  13.249998471409185,
  15.000753691360856,
  30.614864831823816,
  8.674751023433796,
  21.755283827925666,
  9.300770942962453,
  9.95842617222141,
  5.443883021659228,
  5.658120823515331,
  103.84257385504398,
  5.0973309350238685,
  8.81658768347664,
  41.081498694645326,
  10.980605443142597,
  26.423793783071048,
  17.941575677021834,
  5.834917377154341,
  7.2263600949098885,
  39.24013772105348,
  9.818918062955284,
  12.820372717043043,
  9.444640697520065,
  16.440060145844544,
  26.0726121487533,
  20.392906030226666,
  135.15300775334555,
  16.792459735865357,
  9.956702247066,
  27.65705891691254,
  14.947452536900247,
  7.72310618597229,
  34.89459901164314,
  7.184983633278999,
  12.186340987649084,
  36.33370877950307,
  5.071256822164062,
  22.45627452749489,
  6.4665727870973875,
  12.048990037815198,
  14.324996237332055,
  14.141061334813159,
  28.752233065827433,
  6.2985247284533825,
  11.099437081913962,
  6.586499522787839,
  15.819932981195237,
  17.109480422848655,
  11.56909510194862,
  16.007948484348155,
  10.302800236233983,
  7.465911443041442,
  6.010736296410903,
  6.592141956676468,
  9.91420949373525,
  19.653654252391338,
  5.75842633362315,
  7.5778154746959805,
  13.258258559006476,
  16.99041388449499,
  15.851938991799223,
  37.83791864506709,
  15.39140765752543,
  8.72641872336216,
  7.745781626930375,
  8.189727717088006,
  8.255562113185738,
  25.48591024318573,
  19.116623664923562,
  5.8201017396473995,
  7.748893302954421,
  9.903965329779894,
  55.16162578483315,
  22.679382669786563,
  12.186799460532677,
  5.627457594649682,
  8.568513366032334,
  7.464960080778573,
  5.897795964145188,
  21.52971327695114,
  11.613417942301014,
  13.808417236824218,
  7.684521362990264,
  24.855154781047805,
  15.32997867134217,
  16.92921464866289,
  29.737631896350734,
  71.95761443490696,
  6.40846121392531,
  22.21926870162846,
  6.2839591085719535,
  13.782165009343657,
  5.867490434373718,
  13.819193945572271,
  5.379620593933618,
  30.162651281571545,
  10.912719080984271,
  15.402562806914789,
  27.435157252621387,
  6.574412677042127,
  14.95533315010503,
  18.809943005079994,
  5.626387559947341,
  20.47678547513297,
  14.569120262497185,
  10.568925925694874,
  7.9013856933427835,
  19.86735773271197,
  25.46192335995892,
  7.336444460231373,
  11.616948413794544,
  20.598254222319532,
  5.2207844357896995,
  5.192226136419273,
  5.1876246357156175,
  12.396917518479786,
  12.869292076509087,
  15.262258631532301,
  8.284505790849352,
  8.6206242520415,
  20.711405733045467,
  33.020421379543436,
  10.55250457013719,
  162.13692826919632,
  15.899932976744564,
  12.13030291431713,
  5.728968084230155,
  10.631176357684783,
  5.113946444849278,
  8.862464249960391,
  9.622959914432347,
  15.358690499529356,
  21.192632086834514,
  12.778040411567765,
  21.646766632796886,
  9.930374848563277,
  13.22953334587744,
  11.207634327926185,
  10.449730722644267,
  17.337714662701792,
  6.35204103805039,
  17.79105016493457,
  22.83330049801159,
  21.69329731722405,
  6.703828643881184,
  8.174780648493169,
  5.1793242517465234,
  12.720014577835911,
  17.612125665376798,
  7.781647362278286,
  17.347014074546824,
  5.968597804186003,
  6.654582640685855,
  14.734597724729221,
  13.862636703472237,
  10.08148386779843,
  6.386394089499754,
  86.57824201179517,
  20.759696593279024,
  9.89324188658188,
  10.316873893008065,
  13.624745734500916,
  6.956029454092136,
  31.396015435433153,
  8.218458542049069,
  6.625993033439668,
  7.366324784629839,
  9.139442712480525,
  6.955607836023542,
  190.49913104648155,
  11.906374998936,
  8.736192700643905,
  21.966975196066187,
  23.80781577418655,
  31.704260388178263,
  70.74613153965052,
  134.35482436692186,
  19.902182445311894,
  14.977519206579046,
  43.504750650170074,
  7.687515618775903,
  11.094558601335443,
  20.146670411480315,
  8.349313946564441,
  22.651887345522486,
  29.693701747228708,
  10.453440988354263,
  5.38637466778068,
  5.743067126706868,
  8.011034732890153,
  21.418608461097293,
  16.202312165493954,
  10.739150654456736,
  10.548203417782343,
  6.8800134064729015,
  13.27521337925558,
  15.67805318821034,
  5.190127334864127,
  9.063362923895474,
  11.051416922835326,
  7.51362143012108,
  8.461127633401693,
  21.291660494922453,
  15.63137854725948,
  5.395406359824388,
  6.8389772855412625,
  6.094362448299085,
  16.353811829904647,
  35.5284078027254,
  21.723956678203542,
  10.089375536902045,
  5.181786633971399,
  9.48126762953324,
  10.836612625254016,
  7.649568337946021,
  5.886655135845719,
  7.1002110185890945,
  16.34347835106563,
  20.085786909124923,
  8.38970613590096,
  6.1995468451847815,
  11.057514086986462,
  5.241249680442176,
  23.070313149830316,
  20.73978211435665,
  5.0324705116307555,
  23.335956975752257,
  8.191200631990736,
  5.542669856313272,
  15.782663137653682,
  8.569912760469768,
  25.157433197236273,
  6.317844573649131,
  8.772194587885355,
  13.421570567323545,
  12.89767939041908,
  26.248022677501165,
  163.55325611579377,
  6.523195957196299,
  7.895193391842999,
  30.171947631111227,
  10.059996288434567,
  5.823627046418444,
  6.898837956181927,
  7.531336786937357,
  5.041518146952496,
  13.456983854118521,
  8.032146947510318,
  5.3754838563150855,
  16.054132168562724,
  14.650784687539648,
  19.768577654073205,
  5.040332101893753,
  23.359009384801745,
  11.239756107668349,
  9.815254726329629,
  18.959797936404264,
  18.607642326756057,
  17.508553029033635,
  16.266316943913168,
  17.308499503637716,
  11.846564106517128,
  5.694946087462284,
  13.44902269274133,
  6.552369451944102,
  14.9995849487196,
  5.728302882295749,
  5.331879282694899,
  10.718921334228508,
  23.382111971086758,
  24.913610599589592,
  31.898404678909362,
  10.203526495739395,
  10.188279825928127,
  15.236758887820676,
  81.16583346859964,
  13.92253064493543,
  13.023129612044563,
  8.700722947860415,
  11.462680281916226,
  28.927974457371494,
  5.062141229668123,
  17.388753430015925,
  10.404847566518596,
  23.872747418218943,
  8.354950443264421,
  18.26336785309729,
  7.280282735287568,
  11.924963457784278,
  6.046036948087193,
  7.464236735948993,
  19.961915670359854,
  5.682297572038342,
  7.582249272671284,
  10.363176306124078,
  11.010498708934271,
  21.030808854042956,
  9.544952842210352,
  6.492173453300351,
  19.254697200937397,
  8.744251101134536,
  6.190718060834113,
  16.0497121049401,
  11.5742462588245,
  5.939628042846929,
  7.801481559743631,
  12.485311132330578,
  12.41977199726865,
  8.004812925840483,
  9.22025686649647,
  27.919362513984463,
  9.073807089389708,
  6.029577674128005,
  14.176031957703826,
  9.432906320776278,
  11.11288167582271,
  18.31896705930234,
  6.79961768734437,
  6.710412034907496,
  29.16482113832848,
  16.69085472498944,
  15.640874939941131,
  30.78551228331654,
  13.02972869741287,
  16.765531678422143,
  11.357256451719318,
  14.613289885175666,
  15.763743459240905,
  14.809962878710083,
  6.629568371029924,
  9.14330507902098,
  18.161959366919806,
  8.320740380266683,
  19.017507494391538,
  6.568222685274019,
  30.007583595111193,
  11.939780635786846,
  15.123129036138469,
  18.811742631150345,
  6.865249522975164,
  75.76879155874508,
  10.224088882502654,
  22.70854844276076,
  6.834202603446871,
  19.029763865856392,
  5.291924561010347,
  15.31690685496546,
  18.293674483297103,
  13.58097298941279,
  6.4239544650206435,
  7.195460500418816,
  27.15231933921065,
  13.298329564714354,
  13.8747904498783,
  11.730539090294581,
  11.162238030822126,
  29.061276026681533,
  12.115799706056789,
  6.675480962705466,
  22.203386267799345,
  6.922160764394534,
  19.328310619270873,
  5.155749700293688,
  13.818896043568769,
  14.41102129044572,
  14.672110175152493,
  24.14904134760234,
  6.314704236418173,
  18.052244511022288,
  8.242861286893257,
  8.549397770930458,
  6.122044129968785,
  15.713567135390804,
  17.945752872145693,
  18.323612925154084,
  9.879038802343139,
  7.267347389281009,
  8.363054942276758,
  18.13528576815367,
  7.203268872186461,
  13.62512846098169,
  27.761970984221882,
  7.132922473617956,
  16.45482383524039,
  6.990914533935168,
  14.714991119452295,
  16.42186405079323,
  20.905538171829768,
  6.5353362928855,
  142.82079265765267,
  6.408396523661102,
  19.4082735263275,
  11.261875716507198,
  6.266179942591928,
  16.22490604421965,
  10.539755455326228,
  6.636874634057893,
  10.967949239694438,
  9.385900078912806,
  16.821923586876203,
  7.844487177231961,
  7.478546855295606,
  17.36574883529143,
  7.0903222504897405,
  7.231433650007438,
  7.350598037692165,
  6.995569765842519,
  17.363699018737794,
  18.589606319944192,
  6.984425486926924,
  15.128612146734287,
  19.172612255817782,
  9.37973516456726,
  7.515776159389616,
  7.661269807881984,
  5.964299092879148,
  5.286961479699615,
  15.654519215348758,
  5.82107688097708,
  14.313445028436021,
  15.563660543168309,
  12.263298701238515,
  9.61388127937018,
  7.371334800371626,
  14.685781484410501,
  5.565799329185914,
  15.5630308082299,
  8.04654036134104,
  8.623532914562166,
  16.32900667927575,
  10.503919548003283,
  17.554869069427518,
  17.202722617566273,
  6.749894725631768,
  48.75150663085345,
  35.350098973197476,
  11.419332881860127,
  16.904992681057053,
  16.926811332238863,
  14.530688599931773,
  17.25317874663149,
  6.969080986831445,
  15.770288083588925,
  26.01226567794846,
  18.392594644876187,
  15.780463364968726,
  13.28366565050912,
  13.245707634245033,
  11.937346934018716,
  15.221272364076201,
  40.316847707399205,
  5.534441402218608,
  12.575954812893727,
  8.183447923922051,
  11.481718311956762,
  13.265473807588277,
  21.017881036439437,
  6.080913875589815,
  5.734501881061734,
  35.13724138802455,
  10.327181625402618,
  9.185564509798521,
  7.05541908749863,
  9.549939103049917,
  10.920222727788474,
  5.908924668888488,
  13.636427473360754,
  29.150127787857812,
  18.394634549742698,
  29.91315997858465,
  6.89467451355047,
  7.209045960033021,
  5.246518763607367,
  11.541954875808054,
  13.573608694534554,
  17.83207488887781,
  5.375473440244056,
  15.879151632519717,
  16.903341335229904,
  7.761710438118548,
  18.513300455603776,
  9.37243646377547,
  5.802543706609608,
  11.422252419760438,
  7.641361008589683,
  7.271385640470246,
  13.32916171478485,
  9.915586103844708,
  9.57422831797055,
  8.419876816190753,
  6.970965019599741,
  5.223691688264783,
  7.288177643800239,
  6.260234016774173,
  19.27011606933406,
  9.95491557762576,
  17.466817404471517,
  14.676237291997403,
  6.335035178200979,
  7.516016611306229,
  8.883278735169588,
  6.011362968852693,
  5.119673346713343,
  8.376904101234686,
  15.455862242836233,
  8.121008907593199,
  12.113320231181003,
  11.167323300484641,
  13.556211377124583,
  11.629619315197491,
  14.981861956696713,
  7.214412822967012,
  5.602743820222234,
  11.685278366653533,
  5.849809546822516,
  5.493975127572396,
  17.832954039658997,
  8.442203254199507,
  15.07789679890771,
  13.202205227676476,
  15.389251360512915,
  16.35490353900938,
  5.2226706180403575,
  5.430139085208997,
  8.324629442719367,
  5.767541976575615,
  6.042289158070636,
  5.294130187026622,
  6.616574817818387,
  5.927503858485242,
  7.386756125338521,
  10.37002227074376,
  8.128914320967619,
  9.12630390955457,
  5.716650522076948,
  5.510548461405819,
  7.357498181759542,
  13.03234492547599,
  27.57603619403363,
  6.977109417732059,
  10.404149388139963,
  14.655575027781849,
  7.798142526704725,
  12.457176042714854,
  5.683025271632479,
  11.810200530602252,
  25.797553739853505,
  10.745521437218947,
  10.495611356258634,
  9.850780434370632,
  9.224652268441506,
  5.283230371987155,
  7.539279569246825,
  10.78336182558187,
  10.290726944485302,
  8.035690509191225,
  5.106512557072191,
  13.941273399370711,
  5.8500302849637675,
  8.590003863682297,
  7.256106755910523,
  7.942616020348766,
  5.097377596563311,
  13.119472447624096,
  11.11089187796038,
  9.357504516728644,
  5.863508595018191,
  7.8232491331158105,
  19.208839904600968,
  8.175419320864949,
  19.46764324514904,
  7.818080558463207,
  11.629374438647718,
  6.4658443548164835,
  6.2914733788372565,
  7.547800281745264,
  14.857165271766378,
  8.004724733177554,
  11.994720123949179,
  5.466297963705258,
  16.731747518443804,
  10.641956606357374,
  18.74028357366174,
  22.844163438478084,
  8.158941429521164,
  7.895353419778235,
  11.625970727901832,
  14.494977751749538,
  14.620523678443156,
  7.256352369714457,
  13.635937233521531,
  6.853540861748702,
  5.192492919592518,
  16.57698521582283,
  17.039236891150978,
  8.16712636752565,
  16.159799163806735,
  7.865033031971543,
  5.871501998175183,
  18.009208239043055,
  11.062502006672888,
  8.413895954527792,
  35.853180491873076,
  16.264868188432587,
  8.497725424469163,
  14.408998595080986,
  26.727926052313745,
  7.098302155869798,
  15.387624819340685,
  20.198971686028393,
  5.759064588857624,
  11.625912750224016,
  17.13775896283426,
  7.308957669070798,
  6.211355042655722,
  27.34715034810737,
  8.432971762130554,
  17.38254313956687,
  7.776274642974429,
  52.76874913016117,
  8.05367351618852,
  15.154212135442453,
  17.260043286969687,
  6.253069718419182,
  5.192492919592518,
  18.56900257009105,
  19.597865418645398,
  26.620287161121336,
  7.5557576864484695,
  7.751429661292753,
  6.156615902050596,
  12.54512412872429,
  6.682167824671457,
  17.88777718658225,
  18.616944256404814,
  9.341295991993087,
  14.16652582505891,
  36.89543365113501,
  13.011617954625965,
  6.9305842417385755,
  7.667601401319281,
  8.776764905931577,
  6.555860974364922,
  18.673273795437126,
  8.880613368791998,
  14.505043074090898,
  10.170901897369626,
  14.821531509976012,
  5.827364242460718,
  16.704709337431733,
  7.078200109294538,
  11.324070801130759,
  14.690449641411497,
  16.30855311889756,
  5.375666873760443,
  11.485810917285908,
  21.689637326355655,
  15.26708543884638,
  ...])

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)