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 = 45724
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);

([2410878.3236715356,
  2510403.198819551,
  2615929.2200102624,
  2629998.243373321,
  2766661.912316664,
  2767078.125,
  2768208.3137393985,
  2768623.4375,
  2768897.9737052866,
  2769000.2969497545,
  2769586.1295495657,
  2770846.9608796416,
  2796650.274862127,
  2796937.981130641,
  2817003.125,
  2822701.5625,
  2828056.25,
  2828421.685323112,
  2828448.2191430377,
  2903261.6610954003,
  2903482.8125,
  2903493.9427056387,
  2904255.831175789,
  2905093.9933023797,
  2906712.3898700243,
  6685524.69849735,
  6686564.0625,
  6688967.1875,
  6689409.375,
  7432315.625,
  7508392.09837665,
  7649671.875,
  7664296.216012348,
  7664918.272628031,
  7667050.0,
  7680006.25,
  7680068.75,
  7684829.662450865,
  7690452.760471836,
  7696848.4375,
  7797453.121789584,
  7825858.956334216,
  7830928.800561078,
  7845356.661056139,
  7845376.209556678,
  7846124.1389946295,
  7856130.872310626,
  7858905.951874148,
  7865723.957956038,
  7890661.91535774,
  7909990.385459922,
  7913989.92115621,
  7925601.976864928,
  7945200.0,
  7963539.728970889,
  7973234.03098498,
  7978973.013713386,
  7980137.5,
  7989136.517302775,
  8024849.73149441,
  8026462.5,
  8034798.509732753,
  8038505.085479431,
  8049293.89512544,
  8065852.693791815,
  8071915.625,
  8074654.390573004,
  8074671.870251026,
  8076404.6875,
  8100972.520812417,
  8113810.9375,
  8128249.05967944,
  8130281.683406384,
  8137787.2757795565,
  8143571.484551034,
  8146166.215359169,
  8147182.8125,
  8164943.163505923,
  8174262.425597695,
  8175638.511843887,
  8182281.318898913,
  8186068.727895767,
  8186223.282907839,
  8190950.746851011,
  8191550.547585426,
  8192191.863016108,
  8192687.669464561,
  8192955.321675962,
  8193169.718463066,
  8193210.9375,
  8193236.389906673,
  8193349.54939631,
  8194068.036054829,
  8194533.660134087,
  8195579.300861744,
  8196082.412735748,
  8196115.230711755,
  8196649.909468041,
  8197001.5625,
  8197329.6875,
  8198357.711489931,
  8200680.2154906485,
  8201998.4375,
  8202209.420706312,
  8203000.510490189,
  8203498.98784903,
  8206497.082026295,
  8219878.125,
  8221086.823001397,
  8222506.699564685,
  8223668.493512889,
  8225927.244786416,
  8226106.25,
  8227229.6875,
  8227308.826466292,
  8227626.542640014,
  8228701.413760497,
  8229275.605591726,
  8231746.156423853,
  8231757.244542709,
  8233394.156323375,
  8233601.5625,
  8234137.0491197305,
  8235282.8125,
  8238854.01218389,
  8239669.2997986665,
  8246612.62536762,
  8247490.56573245,
  8248638.545842616,
  8250777.23942024,
  8254464.573362198,
  8277131.25,
  8284237.206109788,
  8284640.225902416,
  8286074.311811855,
  8308553.125,
  8310658.167135554,
  8312135.109478802,
  8319659.311379047,
  8322722.792899762,
  8324896.875,
  8329883.002840503,
  8334543.75,
  8335927.370971936,
  8335954.6875,
  8336991.92734337,
  8338379.425996713,
  8338541.733768878,
  8339422.183956349,
  8340222.725428227,
  8343085.478921818,
  8343289.844416702,
  8344317.672909291,
  8344915.625,
  8345404.863621374,
  8345426.5625,
  8345848.207698959,
  8345989.938699943,
  8346153.698992726,
  8346164.215654319,
  8347457.349268777,
  8348522.671711577,
  8348777.162102106,
  8350962.5,
  8351002.87592616,
  8351323.395307299,
  8352114.077505234,
  8352145.974499389,
  8352445.3125,
  8352541.024144238,
  8352652.776769662,
  8352840.054901692,
  8352886.681627327,
  8353004.6875,
  8353124.265165087,
  8353219.475734413,
  8353815.424679782,
  8354087.5,
  8354491.879410203,
  8354682.63994126,
  8355634.375,
  8356255.828429344,
  8357529.524749102,
  8358606.97783325,
  8363964.385818912,
  8364945.544898525,
  8367102.267796018,
  8367713.598684543,
  8367717.165014091,
  8381365.872856971,
  8383314.445129049,
  8384406.827433341,
  8384979.6875,
  8386252.57122721,
  8388067.063252847,
  8390513.714471366,
  8392386.360967191,
  8394297.275762876,
  8394797.593697257,
  8396965.262750374,
  8397288.78554846,
  8402190.058280602,
  8402335.629006555,
  8402395.3125,
  8402404.038461521,
  8403473.58431263,
  8407347.11847575,
  8407735.406205578,
  8411228.125,
  8413607.433717694,
  8413909.905538296,
  8413910.670192268,
  8419950.184137661,
  8421927.169771241,
  8422434.352188576,
  8422862.616434796,
  8424074.415081568,
  8424085.256430386,
  8427026.316421926,
  8440126.432648964,
  8444461.846768714,
  8444871.875,
  8446787.39721366,
  8446892.907156602,
  8447378.47337948,
  8447852.659004886,
  8448058.497416416,
  8454673.4375,
  8458239.0625,
  8459402.068268927,
  8460150.727334896,
  8461468.836935855,
  8462017.388849966,
  8462565.913193969,
  8463280.553211931,
  8463287.338167116,
  8464294.884211533,
  8465500.0,
  8466316.647230806,
  8473673.032402148,
  8476302.381019846,
  8479142.272807295,
  8484809.317257449,
  8484990.563863875,
  8486588.063750742,
  8487605.798349537,
  8488505.765883029,
  8489768.135695586,
  8490106.044482287,
  8491155.613774044,
  8491468.75,
  8492191.141995741,
  8492206.25,
  8492996.875,
  8493312.820950605,
  8493828.073703779,
  8495293.141240146,
  8495843.75,
  8496296.55350811,
  8496421.846668623,
  8499760.547874251,
  8500122.93485923,
  8501469.285766782,
  8501571.875,
  8502034.375,
  8502314.0625,
  8502733.92871314,
  8502740.191827064,
  8502827.506934859,
  8503085.662090775,
  8503228.025666617,
  8503230.40041884,
  8504127.63193737,
  8504350.769287294,
  8504435.052400962,
  8504522.908298966,
  8505405.530901086,
  8505485.146081729,
  8505525.225117695,
  8506252.972086912,
  8506810.9375,
  8506884.375,
  8507184.375,
  8507227.973879335,
  8507521.07843339,
  8507665.625,
  8507831.68027428,
  8508315.194037639,
  8509849.254755232,
  8511368.75,
  8515758.624557912,
  8515780.842308866,
  8517482.498709392,
  8518008.5194846,
  8522474.70149918,
  8524144.689541899,
  8524805.524182346,
  8526130.085182643,
  8526413.408435803,
  8526705.064836089,
  8528008.76264624,
  8528440.043330684,
  8529144.929528058,
  8531532.05643427,
  8531745.155298557,
  8532312.046706447,
  8532836.423510551,
  8532917.23816213,
  8533357.8125,
  8533837.592658533,
  8534766.818364752,
  8534785.9375,
  8536841.70762921,
  8537307.8125,
  8537414.379940197,
  8537986.459767135,
  8538521.875,
  8538712.36591431,
  8538762.5,
  8538814.72537783,
  8538990.625,
  8539001.131216317,
  8539099.598446613,
  8539167.1875,
  8539190.625,
  8539737.088355148,
  8540040.625,
  8540218.614176746,
  8540396.345891312,
  8540725.634580642,
  8540784.504340518,
  8541450.460560787,
  8542645.641607357,
  8542826.779327277,
  8542889.417215778,
  8543308.32185903,
  8543310.25269262,
  8545020.170275325,
  8545024.172283255,
  8545335.9375,
  8548920.587333389,
  8552740.123510828,
  8553195.091926847,
  8556315.656275203,
  8556376.620688567,
  8557246.833814757,
  8562895.147390814,
  8565024.864144543,
  8571540.625,
  8573002.722177709,
  8573010.36075693,
  8573915.888103874,
  8574840.625,
  8578035.254702125,
  8579306.079735048,
  8579440.77102915,
  8582091.458768798,
  8583029.15927631,
  8593056.123453137,
  8596302.22262767,
  8596753.752218166,
  8597526.396985212,
  8597611.371847847,
  8598877.471997103,
  8599564.006026367,
  8601749.093198605,
  8603082.063008567,
  8603381.557465391,
  8603785.9375,
  8604077.714791942,
  8605926.127490016,
  8608001.419483462,
  8608219.510071019,
  8612318.75,
  8612337.5,
  8613548.4375,
  8614765.119221132,
  8614806.25,
  8615100.560798777,
  8615434.375,
  8616623.4375,
  8617901.949749034,
  8618849.633732207,
  8627856.972901799,
  8628672.76556347,
  8633327.541922951,
  8633337.265782142,
  8634159.375,
  8634426.017404187,
  8636254.6875,
  8636352.008753005,
  8636418.274708392,
  8642110.9375,
  8644435.643836657,
  8644915.625,
  8645484.684076974,
  8645617.525117625,
  8646345.3125,
  8646618.75,
  8647166.937455889,
  8651315.625,
  8652371.166780133,
  8653623.257948011,
  8653914.0625,
  8654228.859427176,
  8654968.076273452,
  8655014.0625,
  8660681.160312109,
  8663011.96195516,
  8666830.93577553,
  8668646.486024484,
  8673492.174863303,
  8679231.097471183,
  8682822.033737337,
  8683219.857262585,
  8683792.541694736,
  8686081.086040026,
  8686187.438729746,
  8690882.102981929,
  8695883.593261203,
  8696029.76529894,
  8696740.625,
  8696799.266293922,
  8696863.207231224,
  8698010.992289178,
  8698860.53329297,
  8700874.062238058,
  8701008.824347574,
  8701536.190997623,
  8701705.393334394,
  8702407.8125,
  8702599.288363937,
  8703003.952867478,
  8703190.176673476,
  8703896.045987656,
  8703946.875,
  8703957.8125,
  8704025.0,
  8704437.266378084,
  8704442.1875,
  8704607.681131212,
  8704708.84696941,
  8704711.488462374,
  8704740.446142418,
  8704872.796751646,
  8705120.94462212,
  8705126.33411109,
  8705332.591132872,
  8705472.842979673,
  8705599.47905163,
  8705630.904028218,
  8705990.625,
  8705998.044926599,
  8706019.510148393,
  8706171.87053643,
  8706244.674609387,
  8706274.165324863,
  8706281.828060498,
  8707060.9375,
  8707374.75164368,
  8709137.5,
  8710396.82669924,
  8710957.410021486,
  8711057.13645204,
  8711086.250870118,
  8711188.706526453,
  8711254.813945401,
  8711306.25,
  8711370.3125,
  8711371.875,
  8711381.25,
  8711403.82172846,
  8711560.5372734,
  8711609.306850098,
  8711689.0625,
  8711847.447525091,
  8711882.749481456,
  8712005.918889517,
  8712034.29472249,
  8712095.3125,
  8712174.678738652,
  8712307.8125,
  8712350.0,
  8712457.642076911,
  8712527.362639727,
  8712537.751907708,
  8712563.45214821,
  8712571.07854842,
  8712628.125,
  8712666.921106964,
  8712679.88624613,
  8712738.58138614,
  8712792.027167384,
  8712798.867743965,
  8712812.030558364,
  8712820.317164522,
  8712867.1875,
  8712895.3125,
  8712912.660706291,
  8712952.221917484,
  8712980.870870024,
  8712997.111371262,
  8713127.08263455,
  8713213.265281405,
  8713229.0175054,
  8713260.450604578,
  8713318.880186075,
  8713355.678576294,
  8713363.608082386,
  8713385.45173895,
  8713462.987826465,
  8713750.066170972,
  8713838.006337654,
  8713877.95171701,
  8713894.32854513,
  8713961.246162126,
  8713973.589835918,
  8714042.709623784,
  8714075.0,
  8714116.767241819,
  8714126.53631978,
  8714143.75,
  8714168.615011247,
  8714184.748009987,
  8714219.45142512,
  8714243.392907064,
  8714349.775067043,
  8714443.012720903,
  8714450.028623208,
  8714712.482238509,
  8714795.056349294,
  8714860.9375,
  8714977.139708411,
  8714985.087549971,
  8715044.424578642,
  8715327.09122156,
  8715496.521717286,
  8715729.6875,
  8715801.5625,
  8715965.61261938,
  8715995.3125,
  8716590.625,
  8716770.3125,
  8717187.278772678,
  8717464.513385048,
  8717574.03032097,
  8717600.197498929,
  8717854.64628613,
  8718343.75,
  8718514.453421041,
  8718579.247684376,
  8718900.0,
  8718986.578615203,
  8719322.997879887,
  8719360.9375,
  8719378.125,
  8720082.8125,
  8720184.375,
  8720421.875,
  8720644.805180077,
  8722165.625,
  8723105.049697353,
  8723433.516359558,
  8723678.94030864,
  8724104.704355735,
  8724265.248499578,
  8724557.8125,
  8724643.747553607,
  8724810.9375,
  8724856.25,
  8724909.327849347,
  8725269.203266045,
  8725307.186603695,
  8725328.125,
  8725341.027150359,
  8725574.989793774,
  8725581.373311788,
  8725614.53409121,
  8725937.66863704,
  8726099.759890534,
  8726117.562127903,
  8726266.970333127,
  8726382.8125,
  8727119.248757146,
  8727185.846825296,
  8728043.977593357,
  8728188.461899027,
  8728601.501901843,
  8729189.792594785,
  8729464.004947016,
  8729499.6066488,
  8730120.468791382,
  8730710.833528882,
  8731126.327201862,
  8731566.64661125,
  8731617.1875,
  8731805.264237475,
  8731811.600767108,
  8732092.739060948,
  8732102.538358396,
  8732391.50493165,
  8732907.187419726,
  8733039.0625,
  8735904.339169597,
  8737142.900809763,
  8737545.3125,
  8737742.381699061,
  8737823.551639022,
  8738429.211811125,
  8740712.933130981,
  8740893.765070785,
  8741249.056555718,
  8741314.188638005,
  8741321.799507769,
  8741634.261550406,
  8742178.144763405,
  8742270.3125,
  8743393.75,
  8744188.753312992,
  8744880.58124287,
  8744888.844326552,
  8745331.52947666,
  8746075.0,
  8746195.858483717,
  8746304.332266076,
  8747391.174136847,
  8747707.8125,
  8748140.128623227,
  8749379.298051614,
  8749594.359719027,
  8750004.6875,
  8750168.739419512,
  8750787.382003265,
  8751066.308794519,
  8751487.083381778,
  8752882.433905171,
  8753891.544207385,
  8755669.581758143,
  8757181.170100791,
  8757829.6875,
  8758207.444745282,
  8760778.125,
  8762205.19770087,
  8763376.5625,
  8763387.398085866,
  8764199.741669351,
  8764270.600109618,
  8764339.0625,
  8764524.257037459,
  8765208.402103165,
  8766551.704581589,
  8767198.4375,
  8767461.708839295,
  8767472.431998633,
  8768108.255192127,
  8768218.774817461,
  8768372.709235135,
  8771969.608240591,
  8773980.182359867,
  8774412.5,
  8782567.1875,
  8784671.756572064,
  8787294.49206726,
  8787540.542516872,
  8789421.875,
  8792728.920909539,
  8792764.79188214,
  8792928.676165462,
  8794684.375,
  8795774.35075777,
  8796273.4375,
  8796990.625,
  8797910.9375,
  8799000.0,
  8799573.39241775,
  8800164.0625,
  8800240.127932413,
  8801899.814308092,
  8802279.6875,
  8804970.36408821,
  8805103.432885142,
  8805800.99599417,
  8806105.560746351,
  8806905.415365778,
  8810509.375,
  8810531.08404113,
  8810849.951469833,
  8811120.3125,
  8811218.354182247,
  8811462.552660607,
  8812162.408005,
  8812275.0,
  8812660.375091137,
  8813489.0625,
  8813647.65015811,
  8814550.76001554,
  8814861.80377046,
  8814939.685085844,
  8817559.375,
  8818111.811851554,
  8818256.355494704,
  8818537.262441285,
  8820051.5625,
  8820101.503014699,
  8822959.21276047,
  8827941.988681497,
  8829406.763716733,
  8833250.85199438,
  8834003.453277828,
  8834170.157056177,
  8834310.034157857,
  8834509.375,
  8835112.5,
  8835282.278304543,
  8835368.75,
  8835657.080582947,
  8835883.081145152,
  8835885.769504907,
  8835996.953906512,
  8836570.301634165,
  8837673.042753136,
  8838095.906086318,
  8838311.096158748,
  8840365.625,
  8841416.703176046,
  8841616.998273391,
  8841901.741909444,
  8842167.288721781,
  8842564.985044194,
  8842817.020440165,
  8842824.97532107,
  8843246.05449856,
  8843440.625,
  8844183.508412562,
  8844292.1875,
  8847356.37782341,
  8847807.8125,
  8848004.6875,
  8848522.41529729,
  8848846.875,
  8849130.556361986,
  8849490.945834145,
  8850223.622832268,
  8850696.875,
  8850786.279751422,
  8851939.867956774,
  8852402.092211632,
  8852564.285156531,
  8853843.370372154,
  8854782.8125,
  8854905.124015868,
  8855033.772978023,
  8855784.375,
  8857936.845240993,
  8858606.25,
  8858781.228186976,
  8861320.3125,
  8862643.75,
  8867064.0625,
  8867696.09472422,
  8867903.125,
  8868213.109787058,
  8869286.913047241,
  8869717.807921074,
  8870380.549670845,
  8870547.672166448,
  8870753.845836578,
  8871433.099142483,
  8871910.932641659,
  8872054.62502235,
  8872702.147306114,
  8872801.568584977,
  8875810.9375,
  8878020.640657071,
  8878923.4375,
  8883959.375,
  8884807.458627563,
  8885448.146879843,
  8885586.812371016,
  8890498.806168284,
  8893125.90078381,
  8895764.953022089,
  8896752.842351023,
  8897577.208218252,
  8899140.625,
  8899237.256037267,
  8901532.170226738,
  8901556.25,
  8902054.327306965,
  8902811.53314989,
  8903240.625,
  8904390.251866117,
  8906383.657182014,
  8907239.0625,
  8907770.294685803,
  8908378.995376546,
  8908517.1875,
  8908526.5625,
  8908551.20532182,
  8910565.325328523,
  8910620.73039288,
  8910655.935216552,
  8912309.852462547,
  8914161.786295064,
  8914345.889867922,
  8914968.749097824,
  8915232.377955256,
  8915598.4375,
  8915906.123802485,
  8916746.875,
  8916900.0,
  8916990.625,
  8916991.697653824,
  8917076.889262412,
  8917083.720023569,
  8918396.875,
  8921185.423043242,
  8925591.230800554,
  8925646.875,
  8925647.732660053,
  8926157.8125,
  8926264.870244902,
  8926343.525842737,
  8926942.246076696,
  8926964.0625,
  8926986.761591036,
  8927107.695964232,
  8927173.427850712,
  8927422.87515009,
  8928063.640855215,
  8928217.1875,
  8928360.73731133,
  8928640.625,
  8928831.25,
  8929233.720891487,
  8929810.945010945,
  8930300.0,
  8930519.516363552,
  8930889.0625,
  8930918.71930275,
  8930943.410786344,
  8930979.6875,
  8931133.907825671,
  8931161.47324988,
  8931222.502246263,
  8931229.6875,
  8931278.382246917,
  8931281.997719377,
  8931286.31557067,
  8931391.020184333,
  8931442.154953482,
  8931596.349583609,
  8931653.335922657,
  8931825.35960317,
  8931833.014091505,
  8931990.625,
  8932024.747093642,
  8932056.37382221,
  8932057.680976737,
  8932062.5,
  8932070.3125,
  8932102.735891383,
  8932112.5,
  8932185.993209327,
  8932325.0,
  8932326.578947406,
  8932454.6875,
  8932476.453901555,
  8932489.0625,
  8932497.680146521,
  8932501.189565524,
  8932529.411612213,
  8932610.608806951,
  8932610.680122951,
  8932651.712966265,
  8932654.6875,
  8932721.277773103,
  8932726.814594822,
  8932734.278430065,
  8932947.187676953,
  8933104.266046375,
  8933106.25,
  8933131.173979385,
  8933168.373499641,
  8933264.884510199,
  8933265.044256661,
  8933398.97403297,
  8933399.561550714,
  8933423.867209062,
  8933455.231780779,
  8933490.625,
  8933540.890812922,
  8933557.228460552,
  8933648.715850202,
  8933887.337558048,
  8933927.096642511,
  8933929.389098616,
  8933957.930836292,
  8934040.625,
  8934070.221345488,
  8934079.339020628,
  8934159.814206619,
  8934175.946412606,
  8934184.375,
  8934265.147772033,
  8934299.338519797,
  8934340.625,
  8934340.62593064,
  8934356.218859341,
  8934362.495838894,
  8934372.429317439,
  8934393.365248572,
  8934404.6875,
  8934528.125,
  8934537.218556046,
  8934548.11674835,
  8934553.125,
  8934555.059548188,
  8934590.751202464,
  8934645.982001444,
  8934676.5625,
  8934745.867604088,
  8934749.740828361,
  8934785.87191647,
  8934787.5,
  8934833.67215774,
  8934836.220032873,
  8934866.454389209,
  8934889.90058272,
  8934906.489439303,
  8934920.3125,
  8934943.685557885,
  8934946.875,
  8934973.129113695,
  8934976.356132146,
  8935113.213680314,
  8935187.5,
  8935317.269432044,
  8935467.570071079,
  8935493.75,
  8935516.189771505,
  8935598.065754978,
  8935638.920152929,
  8935691.15101252,
  8935699.997679375,
  8935703.629397389,
  8935762.07755329,
  8935781.39224955,
  8935817.1875,
  8935832.8125,
  8935860.82503539,
  8935869.875951892,
  8935880.819837883,
  8935885.104677487,
  8935943.348318996,
  8936002.174562842,
  8936008.977749122,
  8936021.39683765,
  8936103.55827386,
  8936107.870845305,
  8936115.97001779,
  8936140.625,
  8936196.546721553,
  8936258.188643994,
  8936266.704997689,
  8936407.8125,
  8936411.51555184,
  8936427.852173159,
  8936474.071610795,
  8936506.686563648,
  8936558.848620592,
  8936565.063182676,
  8936582.8125,
  8936664.0625,
  8936670.002463756,
  8936679.622924829,
  8936710.157888077,
  8936751.070652543,
  8936771.175205875,
  8936821.057378683,
  8936866.521673711,
  8936880.936519895,
  8936912.5,
  8936931.01097219,
  8936938.923233066,
  8936961.209850136,
  8936972.983746586,
  8937009.144712422,
  8937045.577502562,
  8937125.522131687,
  8937136.805377983,
  8937160.758387579,
  8937213.205227317,
  8937220.3125,
  8937262.5,
  8937270.3125,
  8937271.848882498,
  8937277.82135823,
  8937286.148949895,
  8937316.540822718,
  ...],
 [9.505237401700922,
  11.2450857777582,
  35.35461031297726,
  23.6343589573399,
  12.53864014297411,
  54.510260367366186,
  9.794525130616027,
  70.53365216128226,
  8.967786503183477,
  16.20856995621012,
  18.580788792262926,
  8.33252010932228,
  32.81206231235592,
  17.158762712868427,
  66.23963613090041,
  45.84073582721312,
  77.82948778884808,
  90.66046052326587,
  52.42885456361702,
  64.85916419337745,
  33.22897726067235,
  9.49984131653347,
  9.000709353808398,
  16.944716529992178,
  15.71904995526852,
  5.51862443034914,
  44.13670355912953,
  46.83173475587907,
  38.812231094673045,
  46.7155546682135,
  38.83130805198876,
  55.43784135077246,
  7.966344376785927,
  7.439247466457006,
  66.37206330970605,
  42.12812299801439,
  36.13052203604231,
  6.2640387688412815,
  39.3004767019531,
  59.127187124861585,
  28.46174277108031,
  59.85221243895312,
  52.53963874711694,
  7.2338672701680995,
  6.05214945807366,
  7.318928328425421,
  33.304376362589664,
  80.54550123842415,
  22.766844815387216,
  63.423711444283484,
  41.827083405737305,
  12.800409212308505,
  67.2555137669807,
  62.617981293688366,
  69.55567192372193,
  10.629440491821718,
  22.288621495936784,
  76.38389763705436,
  6.885056586294941,
  14.008161890133117,
  60.05186707603845,
  14.901167354085839,
  101.28118534155917,
  6.792829774160506,
  14.773696540752564,
  31.79536102014663,
  13.918893220561847,
  32.13108836899185,
  35.06057900994338,
  84.5219979279661,
  64.5312736328187,
  9.919422623641228,
  45.21890233287915,
  74.15507316288435,
  81.81981115564204,
  49.03309412991474,
  52.267098089002786,
  10.320006376979892,
  11.01336914974659,
  10.363809748709329,
  6.497946250336138,
  40.38736551386222,
  8.206483972770805,
  27.983805038460993,
  37.256363148765516,
  5.5963416341492564,
  9.478927030662563,
  8.653053137791,
  20.60366293979693,
  61.90577583710126,
  9.745664011308778,
  80.12915419553896,
  70.83421347935226,
  112.71472416126747,
  10.572750315646536,
  40.24939612746835,
  7.02152407486551,
  10.989087859047924,
  62.71922414027287,
  59.60745409521915,
  101.65637425490769,
  7.267523769394934,
  59.629952162245864,
  8.310896389233164,
  15.962058131863284,
  7.274048278149359,
  46.236376215714245,
  36.98505528777866,
  14.006113484552708,
  16.985259582307535,
  58.25806571249184,
  31.985985266274422,
  51.85668818500244,
  57.91243159320358,
  66.95565805893057,
  57.77740802767198,
  14.403352694708786,
  17.891901381008367,
  30.02578648152831,
  106.0226386927665,
  11.828337792551372,
  48.35018461806137,
  54.09191852788453,
  85.67755633123092,
  25.84900965389406,
  17.55314373316142,
  15.054962680616175,
  5.80960795075262,
  5.059620102992501,
  7.311538269908844,
  17.326592963856978,
  42.01928132117774,
  30.3902436893107,
  57.636772721647084,
  8.810217484539274,
  33.69281643938628,
  12.809551989445465,
  8.717336550936103,
  27.326234380687772,
  20.162506450153565,
  105.72216803989804,
  11.438851892177828,
  63.219409489103526,
  87.96696845967517,
  41.91819999834567,
  5.283118279344517,
  14.619588208048341,
  11.825476545359004,
  9.607060077587256,
  75.50004771528342,
  7.445391696431008,
  19.086713099572787,
  48.02072085408588,
  43.17495284226307,
  12.056886002068323,
  36.96444846962101,
  5.093960016357795,
  18.04441567031204,
  9.868980294257534,
  9.46435058001086,
  31.757274292257115,
  19.196615304088663,
  8.631329994200543,
  34.36074053080341,
  9.129317747761165,
  117.22781097458429,
  23.88004222958077,
  66.94745033822842,
  62.418392096983155,
  89.713997951772,
  8.110629623742602,
  8.891779276896553,
  12.531194439613442,
  50.40460805100771,
  6.377755438877668,
  5.869703465353856,
  25.11338005839204,
  49.04382469344176,
  23.64795281772802,
  13.68463032796395,
  46.28466484857514,
  37.939024897687844,
  6.246852639919807,
  10.033307051972733,
  74.66331131568364,
  11.511488308004633,
  7.32007476947525,
  13.42625163175565,
  5.531990223695027,
  24.84348172723731,
  16.632447636569914,
  17.71878989950773,
  101.66880856956575,
  86.82218149816721,
  9.228509312468935,
  13.762465682097593,
  23.44731642479362,
  16.72607089545413,
  96.18235886697413,
  20.458702336033078,
  53.9518053295619,
  14.387020633577112,
  6.056595565568376,
  63.106016893706645,
  20.124923122470115,
  11.365209554661718,
  15.958519746009834,
  21.18650048729981,
  53.994924523757874,
  13.670763100128966,
  48.86674547228447,
  5.5202463864890685,
  11.428263515551778,
  12.231133545071353,
  14.855269992325178,
  7.1523989251243485,
  29.945779364449812,
  8.815051270283185,
  9.131651154350122,
  53.619234609033604,
  20.089581766054273,
  35.1084501804067,
  26.645483296723526,
  18.641497217540568,
  11.719714456005262,
  39.168555244382844,
  18.404562269875093,
  45.643598068679694,
  52.62848238083367,
  6.569409511812483,
  83.30804954363931,
  12.560965421428072,
  64.57265826941412,
  8.445094843982634,
  23.88593932566581,
  29.78474207562683,
  22.23958623775078,
  68.85672265996446,
  21.100583907746593,
  7.463009854240751,
  46.65218794577004,
  46.732716572522136,
  11.038635227255199,
  8.25450997248873,
  12.140265554048575,
  21.98936368079805,
  10.446862191542397,
  42.24597055728413,
  46.57372591017061,
  48.892189662432386,
  44.837132741767455,
  17.361764053152335,
  61.688302015305545,
  124.10761975758899,
  11.669386398708358,
  27.54913328709737,
  55.70584236496167,
  66.4199724470653,
  87.75500801457731,
  5.244353046821316,
  22.66964784996362,
  10.42351224774631,
  6.57449033124626,
  52.7083450272185,
  58.29240946025084,
  34.77760723071012,
  27.861229128801767,
  43.43814029159615,
  14.980911024311473,
  24.07002047912707,
  35.33751518106618,
  18.594922548969453,
  8.041982485014458,
  32.58483943528315,
  18.354334321295863,
  5.439502008623398,
  12.763533415425828,
  61.84200604461307,
  15.875086816139063,
  49.00645403853277,
  43.885532284311026,
  40.48120151406326,
  41.569160663247075,
  106.47733878801806,
  12.581124397055166,
  40.37883036038274,
  8.528021006113699,
  73.87866146717141,
  20.234160737645844,
  48.65459690007284,
  36.27974705913112,
  35.146144209297574,
  23.576169717049943,
  93.92833141107296,
  110.13019110780985,
  10.276086447866568,
  36.359942146684325,
  94.39503576481782,
  44.90194284284223,
  11.773600773627185,
  53.970359948196105,
  20.715337687710534,
  10.577586442819772,
  12.675493344099792,
  36.67278320746289,
  23.029227631042673,
  7.7890156688251855,
  11.207829211584166,
  51.67070047330138,
  11.275694009139578,
  13.699336446002183,
  97.75578101545541,
  79.77856896348304,
  62.752327222176596,
  5.967535234416828,
  61.25052499293868,
  95.08009346485636,
  32.40443340434527,
  30.148643388427168,
  78.87115081346128,
  80.5663543464681,
  22.207109785200092,
  69.09184829663022,
  45.48309092705827,
  58.2655015539358,
  10.53996369117431,
  43.8132562386279,
  10.921841773616052,
  7.422458012006562,
  42.57591975336316,
  18.95011594692333,
  5.357955055404771,
  5.2118884502715,
  15.837800236525451,
  5.970903283444817,
  7.798474027635349,
  76.51240651924736,
  93.45100620326266,
  8.717534587361627,
  66.09563975902847,
  14.389080036454313,
  31.4658423036253,
  74.88653866554542,
  7.614588694368779,
  11.21989388384389,
  27.735248649592094,
  161.60081940006924,
  12.348311530676838,
  50.76742218587892,
  18.881097342543956,
  49.04092354548018,
  16.04906988402631,
  84.97719162377568,
  19.8447854842104,
  78.15361462188072,
  6.103417759986628,
  81.91020646644706,
  5.4395423154191285,
  92.65161558331395,
  12.344380905236491,
  24.127729974204144,
  25.635362966815663,
  102.39576287523934,
  7.969018851357156,
  37.673601471705204,
  14.399954299346993,
  12.69101593744042,
  8.456149883709788,
  30.061762591450925,
  22.438162829354194,
  22.166870407352423,
  5.286689924842319,
  12.567641458178361,
  44.477254519674794,
  100.72823798000206,
  56.69036628793747,
  31.47589638684189,
  95.04116994093691,
  6.8808799207143245,
  33.319506416587465,
  54.44927931357917,
  86.43523394554452,
  13.707863232911313,
  18.664038328886093,
  22.156497356258566,
  10.324155402528548,
  24.62903076150491,
  75.50611495086065,
  8.017925733005665,
  37.82195631127801,
  48.21816984347165,
  13.394229764920512,
  54.31714708624602,
  5.914233142038375,
  75.14155181450522,
  44.363799223998505,
  78.27185710756801,
  68.55324754514496,
  56.4569999741629,
  14.06704395842513,
  104.37282109413499,
  7.365710883477839,
  52.099138141760946,
  66.7019942967429,
  12.50917755443809,
  14.171503570976476,
  41.93333935915177,
  7.571118038820552,
  74.61742913021983,
  36.484361138090044,
  67.50143673124464,
  38.109825929143256,
  25.83689764492063,
  31.698932785101853,
  21.951563110472097,
  8.48320478303177,
  14.351347810796604,
  57.944134262677906,
  8.795795829181822,
  19.078197990837733,
  70.72087851429134,
  72.67335195832541,
  10.146560146420454,
  10.010736882749422,
  15.154534894875791,
  5.784665754137096,
  8.647101420785873,
  13.189429182708864,
  85.1914420480371,
  24.20276309054764,
  58.51662984341288,
  54.09823633853753,
  7.357518749699318,
  154.5994403138975,
  112.09822126368627,
  90.3449321537317,
  52.79390472716291,
  97.63998094825556,
  53.10664886042774,
  59.56529897939595,
  14.463368339098967,
  21.217964316379547,
  17.560036408981954,
  25.43218837443213,
  12.956419025104399,
  69.92293316839968,
  21.18836691926231,
  89.03662496282159,
  84.2624562929496,
  30.329731263669274,
  8.111720273192924,
  52.697143726889195,
  19.5728815807543,
  5.368661863101607,
  23.552729876793784,
  10.25828616207523,
  121.53948364376112,
  12.169911706533417,
  28.68105472687548,
  64.85550434864133,
  99.1289350723663,
  5.459697228130143,
  22.524406713202048,
  12.868435703188618,
  5.300866189083641,
  18.47038471509701,
  15.44640507687709,
  38.006474630440735,
  55.37007708032992,
  69.38031451306811,
  104.32081057331399,
  18.484237122677214,
  13.60786834484762,
  33.708126799941965,
  68.33681490750845,
  7.280548338637993,
  86.70172751316309,
  10.64680772864189,
  27.031707132158914,
  68.35364689126553,
  23.482904119406193,
  51.79246828889838,
  90.43418569215288,
  14.072000964791222,
  19.222315078905915,
  15.997246669747001,
  39.86551596714344,
  8.737967308537465,
  74.25128085033307,
  38.411487026622275,
  25.894847151300834,
  10.45066461320118,
  25.7153325261201,
  23.564721682193614,
  85.88246142545508,
  7.604925632739414,
  100.58994491909273,
  37.17223033046549,
  8.37343003838811,
  13.680164701899194,
  10.58266232135698,
  71.69298195527405,
  7.802856639286231,
  8.737463761616787,
  29.098124851852685,
  23.775414121476054,
  7.651012353621018,
  8.890847358518547,
  32.03632621788909,
  21.636327128478264,
  8.562572172326448,
  14.292323155782523,
  179.09963225213167,
  25.51660099145204,
  9.873706775438414,
  11.143742422182248,
  15.555773695632261,
  7.803666912091468,
  52.42633714133913,
  6.215522833100058,
  33.606964728774,
  53.55659272703391,
  26.115242296267386,
  16.58335736233792,
  18.516168466978662,
  5.15712772512672,
  149.1993192956743,
  5.574517924531046,
  17.719308076625808,
  5.068573459091698,
  6.235369071745583,
  63.71740831065201,
  11.91352554143517,
  18.592381504065234,
  12.375910578030899,
  6.573294986089796,
  66.7136751170274,
  67.0923975622688,
  52.79552063960911,
  6.485152210007509,
  46.78500288189307,
  82.71243685345691,
  87.06447886686824,
  64.89425994435689,
  43.13168791929552,
  26.56748926116468,
  8.393854397249388,
  49.207701146966556,
  56.921950597157874,
  16.67508223343848,
  37.57729418088006,
  51.81532939056399,
  18.116786821205203,
  40.22620339230672,
  65.51638754728096,
  52.03536578563601,
  38.2601483375102,
  65.11165661669392,
  43.093051170057265,
  13.306043094894493,
  60.24845454067124,
  16.528641619893694,
  18.5327763465522,
  59.958170029636875,
  22.612557820296434,
  155.73346291116476,
  30.3735255118774,
  59.96262945214174,
  31.535905124922,
  38.68560954563161,
  14.764787967723235,
  7.245926757652913,
  56.83696750384936,
  72.53909030676476,
  5.636686330138056,
  88.85512315438457,
  9.437893142671896,
  17.986414272722744,
  15.625745651133569,
  13.837343853130612,
  43.6299755980024,
  32.80278790453314,
  72.47296398727156,
  6.568225231767827,
  21.216116867491458,
  29.262908047044018,
  20.54500861934475,
  76.56399214745383,
  33.085273004996786,
  14.72658996558548,
  13.627940950031897,
  7.6607609599042785,
  26.62551778765998,
  7.520295060575047,
  40.846337415298514,
  29.348201340078624,
  39.399234079325254,
  5.220655830036413,
  17.563584587950153,
  10.319827375794553,
  44.540181815141615,
  26.75135892790101,
  76.38484571481999,
  111.51003721539209,
  25.15775813006235,
  46.60271469136169,
  6.292049813324967,
  11.310926576386118,
  7.001780516777298,
  38.12315314903549,
  17.4054661503176,
  12.25610400236559,
  26.985929587955734,
  26.967149062386014,
  26.467067062936167,
  57.9165529972569,
  118.24912053627834,
  36.83253852962311,
  60.53217426611244,
  76.2737647779216,
  14.170399127554278,
  11.594577411171024,
  52.16571510295643,
  12.103767629495865,
  23.069945574191767,
  49.63338562975039,
  49.5523076493133,
  89.01178389286856,
  22.67166835130313,
  7.839726518824226,
  57.1118312533744,
  75.34791419715009,
  85.33892221899251,
  144.51283809724688,
  10.53348406633882,
  16.461920838299044,
  50.50848632700715,
  19.4636071966355,
  27.038312597320893,
  49.92811314925688,
  18.957285036613165,
  40.25011600042133,
  17.322812104350938,
  54.603858519401555,
  7.09491677559793,
  9.122121933463593,
  16.16412182591384,
  51.99992083742714,
  26.950967782809023,
  86.52373229289358,
  33.892019762561084,
  47.01029942210158,
  12.593596705558122,
  33.99670429087301,
  16.600925685201396,
  5.941569697398338,
  19.482840890522063,
  29.49339942224315,
  48.10241460078539,
  55.27778232398493,
  50.32967258931638,
  14.508546045884918,
  6.6100682240160396,
  57.36551291173326,
  45.88345572731563,
  121.78162869079436,
  109.5349290508787,
  9.845401303010297,
  34.555934252304176,
  30.559233380423933,
  70.1508862725623,
  45.96969110355386,
  74.28161159963048,
  51.27300177361708,
  40.48941158014621,
  38.38907878931494,
  5.6758371009223705,
  10.849354652218716,
  56.6887680232376,
  11.209311409515442,
  8.45639133553855,
  26.113439267075854,
  8.809494860241168,
  47.03638418323073,
  123.7384891088364,
  25.628537859316637,
  7.108752720629267,
  61.455274558282504,
  22.599387384804913,
  9.376331195371716,
  16.07357275564786,
  103.18935906270457,
  27.352820580716845,
  42.663365927324676,
  5.028520796135729,
  75.62899608692202,
  82.2923069951609,
  82.83842848163944,
  41.735952451458644,
  46.618310678699096,
  17.477486194079695,
  20.941527131348614,
  70.83411291421373,
  40.20438567328057,
  25.685835946136734,
  29.076992849470003,
  80.6602497132051,
  23.923232378604524,
  8.468155935827244,
  25.791327209431458,
  18.23388955203419,
  79.07715128724456,
  67.56327147300962,
  74.48744295894369,
  29.7671682874434,
  19.454498938874714,
  38.5908365706032,
  7.077980152724184,
  11.253324065509084,
  7.599312417979823,
  166.10285932658195,
  5.4878340637743666,
  21.317889948165046,
  40.664800083155995,
  13.369185056685886,
  34.749493255114956,
  7.169425308877603,
  58.98968822954186,
  32.02587207652734,
  27.84038655125105,
  28.045582746906483,
  18.782994006841058,
  48.89017311039741,
  12.422914203918152,
  95.22430102061264,
  11.333559046004927,
  121.13533022228016,
  136.6909796764885,
  17.497134449089206,
  40.87545337085154,
  8.806523838303413,
  129.35479112607516,
  11.430300279194626,
  52.82947800380833,
  62.87695773604151,
  109.5094647961416,
  30.797915610121066,
  5.830640701792975,
  94.12590995167217,
  59.580756025275974,
  6.323970600226943,
  13.055054729460938,
  52.13157660759138,
  10.238306110563807,
  59.56435121802811,
  8.27507582073938,
  96.44212981316093,
  42.84995040303445,
  54.051967731586146,
  43.5904874498961,
  71.81721097638214,
  17.91807743804334,
  7.998799326033534,
  6.894029740401149,
  19.703195602286655,
  78.9811858317742,
  16.233794686595104,
  5.210786730159755,
  105.8583379180981,
  50.23712294672602,
  17.76368735217552,
  11.13723135130147,
  40.54849999335242,
  16.35953390503806,
  36.26776887348779,
  37.80062562091355,
  54.06352848531236,
  13.938559787953539,
  74.83798066647745,
  5.84177162725784,
  12.903939780811612,
  40.426544613383925,
  10.712893284176777,
  43.72150561871368,
  81.7395868443597,
  55.756968550098925,
  10.25308206492711,
  68.90553828612741,
  6.69366602655343,
  101.89820586469624,
  55.82793512690492,
  6.430147894030381,
  52.73104228038718,
  110.17677919549138,
  28.177083212153146,
  7.3707251609953115,
  114.09925955949828,
  34.41747595561149,
  13.734995448442989,
  50.87683837513549,
  6.321480445410954,
  23.285106465235245,
  7.252885139533252,
  5.3718731235666555,
  69.32725919822472,
  20.075165999100925,
  8.06941573070676,
  69.46099380668052,
  7.088668653702575,
  33.26090897378749,
  110.51143614312323,
  40.992179815633975,
  21.594991595763133,
  66.0814281020304,
  7.968136481098234,
  34.70511440998546,
  8.931249210784584,
  5.993957637478937,
  41.4468190135731,
  12.797991385809436,
  57.28891638311647,
  18.08141912461611,
  24.770409495702484,
  15.16957781478261,
  53.21915317533946,
  10.141184765360709,
  89.06904527242563,
  45.862021400268205,
  5.032192956028386,
  24.962591724637043,
  73.8293820912239,
  5.694134826325948,
  77.42695384518858,
  42.68910277606189,
  8.833454092524857,
  6.2681477876898875,
  79.91251724722628,
  18.972917324189034,
  28.526153703748893,
  9.3055810988046,
  41.98151225693536,
  65.78757153463621,
  54.29848392474017,
  19.97744790083423,
  28.292770852803915,
  46.42233239857681,
  11.555105214284167,
  5.082750388289468,
  16.60913526499374,
  16.697117913863245,
  27.896644452384802,
  8.026987397015139,
  15.811390491283403,
  16.515586786693884,
  15.769901212375366,
  49.18284903186135,
  7.056520222584476,
  9.43834337188554,
  119.75927721797441,
  72.59985500680475,
  55.772560494391776,
  22.715193064677372,
  42.19923034797787,
  9.37895700939876,
  52.5662729895543,
  21.398817743617137,
  42.19373054546462,
  8.229971598206351,
  30.802762321507565,
  19.26000956035976,
  22.861764126215785,
  24.063706822002757,
  197.66018165989212,
  169.52441350079096,
  8.367782113797343,
  32.37493949980079,
  20.575105433765643,
  15.998108989043756,
  26.750829064897125,
  6.537249181790593,
  7.014902728432015,
  46.001455400329824,
  11.010924978672842,
  28.7229539939941,
  15.28722713614902,
  13.110218195766178,
  17.47507538325394,
  22.129890770158944,
  8.527684480676557,
  5.644881814581819,
  88.18846779318626,
  9.566752978290543,
  31.09778248045299,
  15.283120003505694,
  14.356510411948406,
  17.461105543001246,
  60.66499934829895,
  23.514648865636417,
  67.3493692385637,
  33.86331890809293,
  13.761108642069958,
  81.82371166939144,
  20.40828851903425,
  55.68328564478444,
  24.20627794600627,
  20.020511063353684,
  65.52952187558482,
  14.945057772114781,
  14.824129544096703,
  28.443005047653624,
  122.14569514213952,
  17.75580482827548,
  57.039556101921946,
  99.12493247342194,
  61.97520775468695,
  23.48923850503083,
  79.10553465921527,
  67.66134231125625,
  9.44044397665249,
  45.40103788602171,
  70.36690242866162,
  68.9305496115569,
  24.286663833168774,
  22.54555523320889,
  35.0473150010316,
  6.630858229340505,
  5.210680256476463,
  62.52670657598111,
  61.08820330924141,
  47.7331332630367,
  30.106385759227443,
  27.3115352514289,
  43.11988312485249,
  82.60728700804387,
  48.772173097528125,
  10.017782811713355,
  76.63098377847234,
  23.53026475651968,
  158.52570456439074,
  33.369109328416776,
  59.00849178973047,
  28.246271024149245,
  8.212709452721878,
  65.82187288229271,
  11.124081454724564,
  18.21241522794235,
  22.303267967796046,
  141.1392912611424,
  74.44935915523484,
  92.2281277546843,
  26.48342797159338,
  51.146543233939255,
  36.52813329994525,
  25.17614616735694,
  31.687265419693958,
  32.82715752822653,
  22.583202448410578,
  14.090583783751537,
  102.32449857942156,
  12.701408763585382,
  6.542570952636153,
  77.92110984225337,
  72.33670708905647,
  6.315920642506715,
  21.669443090736095,
  100.31852683254579,
  6.884671195625055,
  99.22870644521794,
  10.89458768684488,
  13.136732506867121,
  34.300906150617095,
  42.23210585120889,
  28.705578742877922,
  39.921540464263195,
  39.71150944975019,
  7.5800477376668915,
  60.55119776657464,
  13.348429522347523,
  12.81025262701794,
  19.92324049940388,
  139.7525159998965,
  7.493660300031235,
  63.477186652000164,
  21.312093421296826,
  57.06444993307549,
  27.590648185638173,
  13.454514582960241,
  14.130855905340479,
  15.948151821650544,
  12.05530303355914,
  8.80585757982494,
  72.86415988052119,
  41.47128343455314,
  48.62193226827624,
  31.902675026793872,
  53.577204905891875,
  37.43399891144871,
  56.500473219783395,
  89.690169680374,
  10.247861794945216,
  ...])

Energy spectrum

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

([2410878.3236715356,
  2510403.198819551,
  2615929.2200102624,
  2629998.243373321,
  2766661.912316664,
  2767078.125,
  2768208.3137393985,
  2768623.4375,
  2768897.9737052866,
  2769000.2969497545,
  2769586.1295495657,
  2770846.9608796416,
  2796650.274862127,
  2796937.981130641,
  2817003.125,
  2822701.5625,
  2828056.25,
  2828421.685323112,
  2828448.2191430377,
  2903261.6610954003,
  2903482.8125,
  2903493.9427056387,
  2904255.831175789,
  2905093.9933023797,
  2906712.3898700243,
  6685524.69849735,
  6686564.0625,
  6688967.1875,
  6689409.375,
  7432315.625,
  7508392.09837665,
  7649671.875,
  7664296.216012348,
  7664918.272628031,
  7667050.0,
  7680006.25,
  7680068.75,
  7684829.662450865,
  7690452.760471836,
  7696848.4375,
  7797453.121789584,
  7825858.956334216,
  7830928.800561078,
  7845356.661056139,
  7845376.209556678,
  7846124.1389946295,
  7856130.872310626,
  7858905.951874148,
  7865723.957956038,
  7890661.91535774,
  7909990.385459922,
  7913989.92115621,
  7925601.976864928,
  7945200.0,
  7963539.728970889,
  7973234.03098498,
  7978973.013713386,
  7980137.5,
  7989136.517302775,
  8024849.73149441,
  8026462.5,
  8034798.509732753,
  8038505.085479431,
  8049293.89512544,
  8065852.693791815,
  8071915.625,
  8074654.390573004,
  8074671.870251026,
  8076404.6875,
  8100972.520812417,
  8113810.9375,
  8128249.05967944,
  8130281.683406384,
  8137787.2757795565,
  8143571.484551034,
  8146166.215359169,
  8147182.8125,
  8164943.163505923,
  8174262.425597695,
  8175638.511843887,
  8182281.318898913,
  8186068.727895767,
  8186223.282907839,
  8190950.746851011,
  8191550.547585426,
  8192191.863016108,
  8192687.669464561,
  8192955.321675962,
  8193169.718463066,
  8193210.9375,
  8193236.389906673,
  8193349.54939631,
  8194068.036054829,
  8194533.660134087,
  8195579.300861744,
  8196082.412735748,
  8196115.230711755,
  8196649.909468041,
  8197001.5625,
  8197329.6875,
  8198357.711489931,
  8200680.2154906485,
  8201998.4375,
  8202209.420706312,
  8203000.510490189,
  8203498.98784903,
  8206497.082026295,
  8219878.125,
  8221086.823001397,
  8222506.699564685,
  8223668.493512889,
  8225927.244786416,
  8226106.25,
  8227229.6875,
  8227308.826466292,
  8227626.542640014,
  8228701.413760497,
  8229275.605591726,
  8231746.156423853,
  8231757.244542709,
  8233394.156323375,
  8233601.5625,
  8234137.0491197305,
  8235282.8125,
  8238854.01218389,
  8239669.2997986665,
  8246612.62536762,
  8247490.56573245,
  8248638.545842616,
  8250777.23942024,
  8254464.573362198,
  8277131.25,
  8284237.206109788,
  8284640.225902416,
  8286074.311811855,
  8308553.125,
  8310658.167135554,
  8312135.109478802,
  8319659.311379047,
  8322722.792899762,
  8324896.875,
  8329883.002840503,
  8334543.75,
  8335927.370971936,
  8335954.6875,
  8336991.92734337,
  8338379.425996713,
  8338541.733768878,
  8339422.183956349,
  8340222.725428227,
  8343085.478921818,
  8343289.844416702,
  8344317.672909291,
  8344915.625,
  8345404.863621374,
  8345426.5625,
  8345848.207698959,
  8345989.938699943,
  8346153.698992726,
  8346164.215654319,
  8347457.349268777,
  8348522.671711577,
  8348777.162102106,
  8350962.5,
  8351002.87592616,
  8351323.395307299,
  8352114.077505234,
  8352145.974499389,
  8352445.3125,
  8352541.024144238,
  8352652.776769662,
  8352840.054901692,
  8352886.681627327,
  8353004.6875,
  8353124.265165087,
  8353219.475734413,
  8353815.424679782,
  8354087.5,
  8354491.879410203,
  8354682.63994126,
  8355634.375,
  8356255.828429344,
  8357529.524749102,
  8358606.97783325,
  8363964.385818912,
  8364945.544898525,
  8367102.267796018,
  8367713.598684543,
  8367717.165014091,
  8381365.872856971,
  8383314.445129049,
  8384406.827433341,
  8384979.6875,
  8386252.57122721,
  8388067.063252847,
  8390513.714471366,
  8392386.360967191,
  8394297.275762876,
  8394797.593697257,
  8396965.262750374,
  8397288.78554846,
  8402190.058280602,
  8402335.629006555,
  8402395.3125,
  8402404.038461521,
  8403473.58431263,
  8407347.11847575,
  8407735.406205578,
  8411228.125,
  8413607.433717694,
  8413909.905538296,
  8413910.670192268,
  8419950.184137661,
  8421927.169771241,
  8422434.352188576,
  8422862.616434796,
  8424074.415081568,
  8424085.256430386,
  8427026.316421926,
  8440126.432648964,
  8444461.846768714,
  8444871.875,
  8446787.39721366,
  8446892.907156602,
  8447378.47337948,
  8447852.659004886,
  8448058.497416416,
  8454673.4375,
  8458239.0625,
  8459402.068268927,
  8460150.727334896,
  8461468.836935855,
  8462017.388849966,
  8462565.913193969,
  8463280.553211931,
  8463287.338167116,
  8464294.884211533,
  8465500.0,
  8466316.647230806,
  8473673.032402148,
  8476302.381019846,
  8479142.272807295,
  8484809.317257449,
  8484990.563863875,
  8486588.063750742,
  8487605.798349537,
  8488505.765883029,
  8489768.135695586,
  8490106.044482287,
  8491155.613774044,
  8491468.75,
  8492191.141995741,
  8492206.25,
  8492996.875,
  8493312.820950605,
  8493828.073703779,
  8495293.141240146,
  8495843.75,
  8496296.55350811,
  8496421.846668623,
  8499760.547874251,
  8500122.93485923,
  8501469.285766782,
  8501571.875,
  8502034.375,
  8502314.0625,
  8502733.92871314,
  8502740.191827064,
  8502827.506934859,
  8503085.662090775,
  8503228.025666617,
  8503230.40041884,
  8504127.63193737,
  8504350.769287294,
  8504435.052400962,
  8504522.908298966,
  8505405.530901086,
  8505485.146081729,
  8505525.225117695,
  8506252.972086912,
  8506810.9375,
  8506884.375,
  8507184.375,
  8507227.973879335,
  8507521.07843339,
  8507665.625,
  8507831.68027428,
  8508315.194037639,
  8509849.254755232,
  8511368.75,
  8515758.624557912,
  8515780.842308866,
  8517482.498709392,
  8518008.5194846,
  8522474.70149918,
  8524144.689541899,
  8524805.524182346,
  8526130.085182643,
  8526413.408435803,
  8526705.064836089,
  8528008.76264624,
  8528440.043330684,
  8529144.929528058,
  8531532.05643427,
  8531745.155298557,
  8532312.046706447,
  8532836.423510551,
  8532917.23816213,
  8533357.8125,
  8533837.592658533,
  8534766.818364752,
  8534785.9375,
  8536841.70762921,
  8537307.8125,
  8537414.379940197,
  8537986.459767135,
  8538521.875,
  8538712.36591431,
  8538762.5,
  8538814.72537783,
  8538990.625,
  8539001.131216317,
  8539099.598446613,
  8539167.1875,
  8539190.625,
  8539737.088355148,
  8540040.625,
  8540218.614176746,
  8540396.345891312,
  8540725.634580642,
  8540784.504340518,
  8541450.460560787,
  8542645.641607357,
  8542826.779327277,
  8542889.417215778,
  8543308.32185903,
  8543310.25269262,
  8545020.170275325,
  8545024.172283255,
  8545335.9375,
  8548920.587333389,
  8552740.123510828,
  8553195.091926847,
  8556315.656275203,
  8556376.620688567,
  8557246.833814757,
  8562895.147390814,
  8565024.864144543,
  8571540.625,
  8573002.722177709,
  8573010.36075693,
  8573915.888103874,
  8574840.625,
  8578035.254702125,
  8579306.079735048,
  8579440.77102915,
  8582091.458768798,
  8583029.15927631,
  8593056.123453137,
  8596302.22262767,
  8596753.752218166,
  8597526.396985212,
  8597611.371847847,
  8598877.471997103,
  8599564.006026367,
  8601749.093198605,
  8603082.063008567,
  8603381.557465391,
  8603785.9375,
  8604077.714791942,
  8605926.127490016,
  8608001.419483462,
  8608219.510071019,
  8612318.75,
  8612337.5,
  8613548.4375,
  8614765.119221132,
  8614806.25,
  8615100.560798777,
  8615434.375,
  8616623.4375,
  8617901.949749034,
  8618849.633732207,
  8627856.972901799,
  8628672.76556347,
  8633327.541922951,
  8633337.265782142,
  8634159.375,
  8634426.017404187,
  8636254.6875,
  8636352.008753005,
  8636418.274708392,
  8642110.9375,
  8644435.643836657,
  8644915.625,
  8645484.684076974,
  8645617.525117625,
  8646345.3125,
  8646618.75,
  8647166.937455889,
  8651315.625,
  8652371.166780133,
  8653623.257948011,
  8653914.0625,
  8654228.859427176,
  8654968.076273452,
  8655014.0625,
  8660681.160312109,
  8663011.96195516,
  8666830.93577553,
  8668646.486024484,
  8673492.174863303,
  8679231.097471183,
  8682822.033737337,
  8683219.857262585,
  8683792.541694736,
  8686081.086040026,
  8686187.438729746,
  8690882.102981929,
  8695883.593261203,
  8696029.76529894,
  8696740.625,
  8696799.266293922,
  8696863.207231224,
  8698010.992289178,
  8698860.53329297,
  8700874.062238058,
  8701008.824347574,
  8701536.190997623,
  8701705.393334394,
  8702407.8125,
  8702599.288363937,
  8703003.952867478,
  8703190.176673476,
  8703896.045987656,
  8703946.875,
  8703957.8125,
  8704025.0,
  8704437.266378084,
  8704442.1875,
  8704607.681131212,
  8704708.84696941,
  8704711.488462374,
  8704740.446142418,
  8704872.796751646,
  8705120.94462212,
  8705126.33411109,
  8705332.591132872,
  8705472.842979673,
  8705599.47905163,
  8705630.904028218,
  8705990.625,
  8705998.044926599,
  8706019.510148393,
  8706171.87053643,
  8706244.674609387,
  8706274.165324863,
  8706281.828060498,
  8707060.9375,
  8707374.75164368,
  8709137.5,
  8710396.82669924,
  8710957.410021486,
  8711057.13645204,
  8711086.250870118,
  8711188.706526453,
  8711254.813945401,
  8711306.25,
  8711370.3125,
  8711371.875,
  8711381.25,
  8711403.82172846,
  8711560.5372734,
  8711609.306850098,
  8711689.0625,
  8711847.447525091,
  8711882.749481456,
  8712005.918889517,
  8712034.29472249,
  8712095.3125,
  8712174.678738652,
  8712307.8125,
  8712350.0,
  8712457.642076911,
  8712527.362639727,
  8712537.751907708,
  8712563.45214821,
  8712571.07854842,
  8712628.125,
  8712666.921106964,
  8712679.88624613,
  8712738.58138614,
  8712792.027167384,
  8712798.867743965,
  8712812.030558364,
  8712820.317164522,
  8712867.1875,
  8712895.3125,
  8712912.660706291,
  8712952.221917484,
  8712980.870870024,
  8712997.111371262,
  8713127.08263455,
  8713213.265281405,
  8713229.0175054,
  8713260.450604578,
  8713318.880186075,
  8713355.678576294,
  8713363.608082386,
  8713385.45173895,
  8713462.987826465,
  8713750.066170972,
  8713838.006337654,
  8713877.95171701,
  8713894.32854513,
  8713961.246162126,
  8713973.589835918,
  8714042.709623784,
  8714075.0,
  8714116.767241819,
  8714126.53631978,
  8714143.75,
  8714168.615011247,
  8714184.748009987,
  8714219.45142512,
  8714243.392907064,
  8714349.775067043,
  8714443.012720903,
  8714450.028623208,
  8714712.482238509,
  8714795.056349294,
  8714860.9375,
  8714977.139708411,
  8714985.087549971,
  8715044.424578642,
  8715327.09122156,
  8715496.521717286,
  8715729.6875,
  8715801.5625,
  8715965.61261938,
  8715995.3125,
  8716590.625,
  8716770.3125,
  8717187.278772678,
  8717464.513385048,
  8717574.03032097,
  8717600.197498929,
  8717854.64628613,
  8718343.75,
  8718514.453421041,
  8718579.247684376,
  8718900.0,
  8718986.578615203,
  8719322.997879887,
  8719360.9375,
  8719378.125,
  8720082.8125,
  8720184.375,
  8720421.875,
  8720644.805180077,
  8722165.625,
  8723105.049697353,
  8723433.516359558,
  8723678.94030864,
  8724104.704355735,
  8724265.248499578,
  8724557.8125,
  8724643.747553607,
  8724810.9375,
  8724856.25,
  8724909.327849347,
  8725269.203266045,
  8725307.186603695,
  8725328.125,
  8725341.027150359,
  8725574.989793774,
  8725581.373311788,
  8725614.53409121,
  8725937.66863704,
  8726099.759890534,
  8726117.562127903,
  8726266.970333127,
  8726382.8125,
  8727119.248757146,
  8727185.846825296,
  8728043.977593357,
  8728188.461899027,
  8728601.501901843,
  8729189.792594785,
  8729464.004947016,
  8729499.6066488,
  8730120.468791382,
  8730710.833528882,
  8731126.327201862,
  8731566.64661125,
  8731617.1875,
  8731805.264237475,
  8731811.600767108,
  8732092.739060948,
  8732102.538358396,
  8732391.50493165,
  8732907.187419726,
  8733039.0625,
  8735904.339169597,
  8737142.900809763,
  8737545.3125,
  8737742.381699061,
  8737823.551639022,
  8738429.211811125,
  8740712.933130981,
  8740893.765070785,
  8741249.056555718,
  8741314.188638005,
  8741321.799507769,
  8741634.261550406,
  8742178.144763405,
  8742270.3125,
  8743393.75,
  8744188.753312992,
  8744880.58124287,
  8744888.844326552,
  8745331.52947666,
  8746075.0,
  8746195.858483717,
  8746304.332266076,
  8747391.174136847,
  8747707.8125,
  8748140.128623227,
  8749379.298051614,
  8749594.359719027,
  8750004.6875,
  8750168.739419512,
  8750787.382003265,
  8751066.308794519,
  8751487.083381778,
  8752882.433905171,
  8753891.544207385,
  8755669.581758143,
  8757181.170100791,
  8757829.6875,
  8758207.444745282,
  8760778.125,
  8762205.19770087,
  8763376.5625,
  8763387.398085866,
  8764199.741669351,
  8764270.600109618,
  8764339.0625,
  8764524.257037459,
  8765208.402103165,
  8766551.704581589,
  8767198.4375,
  8767461.708839295,
  8767472.431998633,
  8768108.255192127,
  8768218.774817461,
  8768372.709235135,
  8771969.608240591,
  8773980.182359867,
  8774412.5,
  8782567.1875,
  8784671.756572064,
  8787294.49206726,
  8787540.542516872,
  8789421.875,
  8792728.920909539,
  8792764.79188214,
  8792928.676165462,
  8794684.375,
  8795774.35075777,
  8796273.4375,
  8796990.625,
  8797910.9375,
  8799000.0,
  8799573.39241775,
  8800164.0625,
  8800240.127932413,
  8801899.814308092,
  8802279.6875,
  8804970.36408821,
  8805103.432885142,
  8805800.99599417,
  8806105.560746351,
  8806905.415365778,
  8810509.375,
  8810531.08404113,
  8810849.951469833,
  8811120.3125,
  8811218.354182247,
  8811462.552660607,
  8812162.408005,
  8812275.0,
  8812660.375091137,
  8813489.0625,
  8813647.65015811,
  8814550.76001554,
  8814861.80377046,
  8814939.685085844,
  8817559.375,
  8818111.811851554,
  8818256.355494704,
  8818537.262441285,
  8820051.5625,
  8820101.503014699,
  8822959.21276047,
  8827941.988681497,
  8829406.763716733,
  8833250.85199438,
  8834003.453277828,
  8834170.157056177,
  8834310.034157857,
  8834509.375,
  8835112.5,
  8835282.278304543,
  8835368.75,
  8835657.080582947,
  8835883.081145152,
  8835885.769504907,
  8835996.953906512,
  8836570.301634165,
  8837673.042753136,
  8838095.906086318,
  8838311.096158748,
  8840365.625,
  8841416.703176046,
  8841616.998273391,
  8841901.741909444,
  8842167.288721781,
  8842564.985044194,
  8842817.020440165,
  8842824.97532107,
  8843246.05449856,
  8843440.625,
  8844183.508412562,
  8844292.1875,
  8847356.37782341,
  8847807.8125,
  8848004.6875,
  8848522.41529729,
  8848846.875,
  8849130.556361986,
  8849490.945834145,
  8850223.622832268,
  8850696.875,
  8850786.279751422,
  8851939.867956774,
  8852402.092211632,
  8852564.285156531,
  8853843.370372154,
  8854782.8125,
  8854905.124015868,
  8855033.772978023,
  8855784.375,
  8857936.845240993,
  8858606.25,
  8858781.228186976,
  8861320.3125,
  8862643.75,
  8867064.0625,
  8867696.09472422,
  8867903.125,
  8868213.109787058,
  8869286.913047241,
  8869717.807921074,
  8870380.549670845,
  8870547.672166448,
  8870753.845836578,
  8871433.099142483,
  8871910.932641659,
  8872054.62502235,
  8872702.147306114,
  8872801.568584977,
  8875810.9375,
  8878020.640657071,
  8878923.4375,
  8883959.375,
  8884807.458627563,
  8885448.146879843,
  8885586.812371016,
  8890498.806168284,
  8893125.90078381,
  8895764.953022089,
  8896752.842351023,
  8897577.208218252,
  8899140.625,
  8899237.256037267,
  8901532.170226738,
  8901556.25,
  8902054.327306965,
  8902811.53314989,
  8903240.625,
  8904390.251866117,
  8906383.657182014,
  8907239.0625,
  8907770.294685803,
  8908378.995376546,
  8908517.1875,
  8908526.5625,
  8908551.20532182,
  8910565.325328523,
  8910620.73039288,
  8910655.935216552,
  8912309.852462547,
  8914161.786295064,
  8914345.889867922,
  8914968.749097824,
  8915232.377955256,
  8915598.4375,
  8915906.123802485,
  8916746.875,
  8916900.0,
  8916990.625,
  8916991.697653824,
  8917076.889262412,
  8917083.720023569,
  8918396.875,
  8921185.423043242,
  8925591.230800554,
  8925646.875,
  8925647.732660053,
  8926157.8125,
  8926264.870244902,
  8926343.525842737,
  8926942.246076696,
  8926964.0625,
  8926986.761591036,
  8927107.695964232,
  8927173.427850712,
  8927422.87515009,
  8928063.640855215,
  8928217.1875,
  8928360.73731133,
  8928640.625,
  8928831.25,
  8929233.720891487,
  8929810.945010945,
  8930300.0,
  8930519.516363552,
  8930889.0625,
  8930918.71930275,
  8930943.410786344,
  8930979.6875,
  8931133.907825671,
  8931161.47324988,
  8931222.502246263,
  8931229.6875,
  8931278.382246917,
  8931281.997719377,
  8931286.31557067,
  8931391.020184333,
  8931442.154953482,
  8931596.349583609,
  8931653.335922657,
  8931825.35960317,
  8931833.014091505,
  8931990.625,
  8932024.747093642,
  8932056.37382221,
  8932057.680976737,
  8932062.5,
  8932070.3125,
  8932102.735891383,
  8932112.5,
  8932185.993209327,
  8932325.0,
  8932326.578947406,
  8932454.6875,
  8932476.453901555,
  8932489.0625,
  8932497.680146521,
  8932501.189565524,
  8932529.411612213,
  8932610.608806951,
  8932610.680122951,
  8932651.712966265,
  8932654.6875,
  8932721.277773103,
  8932726.814594822,
  8932734.278430065,
  8932947.187676953,
  8933104.266046375,
  8933106.25,
  8933131.173979385,
  8933168.373499641,
  8933264.884510199,
  8933265.044256661,
  8933398.97403297,
  8933399.561550714,
  8933423.867209062,
  8933455.231780779,
  8933490.625,
  8933540.890812922,
  8933557.228460552,
  8933648.715850202,
  8933887.337558048,
  8933927.096642511,
  8933929.389098616,
  8933957.930836292,
  8934040.625,
  8934070.221345488,
  8934079.339020628,
  8934159.814206619,
  8934175.946412606,
  8934184.375,
  8934265.147772033,
  8934299.338519797,
  8934340.625,
  8934340.62593064,
  8934356.218859341,
  8934362.495838894,
  8934372.429317439,
  8934393.365248572,
  8934404.6875,
  8934528.125,
  8934537.218556046,
  8934548.11674835,
  8934553.125,
  8934555.059548188,
  8934590.751202464,
  8934645.982001444,
  8934676.5625,
  8934745.867604088,
  8934749.740828361,
  8934785.87191647,
  8934787.5,
  8934833.67215774,
  8934836.220032873,
  8934866.454389209,
  8934889.90058272,
  8934906.489439303,
  8934920.3125,
  8934943.685557885,
  8934946.875,
  8934973.129113695,
  8934976.356132146,
  8935113.213680314,
  8935187.5,
  8935317.269432044,
  8935467.570071079,
  8935493.75,
  8935516.189771505,
  8935598.065754978,
  8935638.920152929,
  8935691.15101252,
  8935699.997679375,
  8935703.629397389,
  8935762.07755329,
  8935781.39224955,
  8935817.1875,
  8935832.8125,
  8935860.82503539,
  8935869.875951892,
  8935880.819837883,
  8935885.104677487,
  8935943.348318996,
  8936002.174562842,
  8936008.977749122,
  8936021.39683765,
  8936103.55827386,
  8936107.870845305,
  8936115.97001779,
  8936140.625,
  8936196.546721553,
  8936258.188643994,
  8936266.704997689,
  8936407.8125,
  8936411.51555184,
  8936427.852173159,
  8936474.071610795,
  8936506.686563648,
  8936558.848620592,
  8936565.063182676,
  8936582.8125,
  8936664.0625,
  8936670.002463756,
  8936679.622924829,
  8936710.157888077,
  8936751.070652543,
  8936771.175205875,
  8936821.057378683,
  8936866.521673711,
  8936880.936519895,
  8936912.5,
  8936931.01097219,
  8936938.923233066,
  8936961.209850136,
  8936972.983746586,
  8937009.144712422,
  8937045.577502562,
  8937125.522131687,
  8937136.805377983,
  8937160.758387579,
  8937213.205227317,
  8937220.3125,
  8937262.5,
  8937270.3125,
  8937271.848882498,
  8937277.82135823,
  8937286.148949895,
  8937316.540822718,
  ...],
 [9.505237401700922,
  11.2450857777582,
  35.35461031297726,
  23.6343589573399,
  12.53864014297411,
  54.510260367366186,
  9.794525130616027,
  70.53365216128226,
  8.967786503183477,
  16.20856995621012,
  18.580788792262926,
  8.33252010932228,
  32.81206231235592,
  17.158762712868427,
  66.23963613090041,
  45.84073582721312,
  77.82948778884808,
  90.66046052326587,
  52.42885456361702,
  64.85916419337745,
  33.22897726067235,
  9.49984131653347,
  9.000709353808398,
  16.944716529992178,
  15.71904995526852,
  5.51862443034914,
  44.13670355912953,
  46.83173475587907,
  38.812231094673045,
  46.7155546682135,
  38.83130805198876,
  55.43784135077246,
  7.966344376785927,
  7.439247466457006,
  66.37206330970605,
  42.12812299801439,
  36.13052203604231,
  6.2640387688412815,
  39.3004767019531,
  59.127187124861585,
  28.46174277108031,
  59.85221243895312,
  52.53963874711694,
  7.2338672701680995,
  6.05214945807366,
  7.318928328425421,
  33.304376362589664,
  80.54550123842415,
  22.766844815387216,
  63.423711444283484,
  41.827083405737305,
  12.800409212308505,
  67.2555137669807,
  62.617981293688366,
  69.55567192372193,
  10.629440491821718,
  22.288621495936784,
  76.38389763705436,
  6.885056586294941,
  14.008161890133117,
  60.05186707603845,
  14.901167354085839,
  101.28118534155917,
  6.792829774160506,
  14.773696540752564,
  31.79536102014663,
  13.918893220561847,
  32.13108836899185,
  35.06057900994338,
  84.5219979279661,
  64.5312736328187,
  9.919422623641228,
  45.21890233287915,
  74.15507316288435,
  81.81981115564204,
  49.03309412991474,
  52.267098089002786,
  10.320006376979892,
  11.01336914974659,
  10.363809748709329,
  6.497946250336138,
  40.38736551386222,
  8.206483972770805,
  27.983805038460993,
  37.256363148765516,
  5.5963416341492564,
  9.478927030662563,
  8.653053137791,
  20.60366293979693,
  61.90577583710126,
  9.745664011308778,
  80.12915419553896,
  70.83421347935226,
  112.71472416126747,
  10.572750315646536,
  40.24939612746835,
  7.02152407486551,
  10.989087859047924,
  62.71922414027287,
  59.60745409521915,
  101.65637425490769,
  7.267523769394934,
  59.629952162245864,
  8.310896389233164,
  15.962058131863284,
  7.274048278149359,
  46.236376215714245,
  36.98505528777866,
  14.006113484552708,
  16.985259582307535,
  58.25806571249184,
  31.985985266274422,
  51.85668818500244,
  57.91243159320358,
  66.95565805893057,
  57.77740802767198,
  14.403352694708786,
  17.891901381008367,
  30.02578648152831,
  106.0226386927665,
  11.828337792551372,
  48.35018461806137,
  54.09191852788453,
  85.67755633123092,
  25.84900965389406,
  17.55314373316142,
  15.054962680616175,
  5.80960795075262,
  5.059620102992501,
  7.311538269908844,
  17.326592963856978,
  42.01928132117774,
  30.3902436893107,
  57.636772721647084,
  8.810217484539274,
  33.69281643938628,
  12.809551989445465,
  8.717336550936103,
  27.326234380687772,
  20.162506450153565,
  105.72216803989804,
  11.438851892177828,
  63.219409489103526,
  87.96696845967517,
  41.91819999834567,
  5.283118279344517,
  14.619588208048341,
  11.825476545359004,
  9.607060077587256,
  75.50004771528342,
  7.445391696431008,
  19.086713099572787,
  48.02072085408588,
  43.17495284226307,
  12.056886002068323,
  36.96444846962101,
  5.093960016357795,
  18.04441567031204,
  9.868980294257534,
  9.46435058001086,
  31.757274292257115,
  19.196615304088663,
  8.631329994200543,
  34.36074053080341,
  9.129317747761165,
  117.22781097458429,
  23.88004222958077,
  66.94745033822842,
  62.418392096983155,
  89.713997951772,
  8.110629623742602,
  8.891779276896553,
  12.531194439613442,
  50.40460805100771,
  6.377755438877668,
  5.869703465353856,
  25.11338005839204,
  49.04382469344176,
  23.64795281772802,
  13.68463032796395,
  46.28466484857514,
  37.939024897687844,
  6.246852639919807,
  10.033307051972733,
  74.66331131568364,
  11.511488308004633,
  7.32007476947525,
  13.42625163175565,
  5.531990223695027,
  24.84348172723731,
  16.632447636569914,
  17.71878989950773,
  101.66880856956575,
  86.82218149816721,
  9.228509312468935,
  13.762465682097593,
  23.44731642479362,
  16.72607089545413,
  96.18235886697413,
  20.458702336033078,
  53.9518053295619,
  14.387020633577112,
  6.056595565568376,
  63.106016893706645,
  20.124923122470115,
  11.365209554661718,
  15.958519746009834,
  21.18650048729981,
  53.994924523757874,
  13.670763100128966,
  48.86674547228447,
  5.5202463864890685,
  11.428263515551778,
  12.231133545071353,
  14.855269992325178,
  7.1523989251243485,
  29.945779364449812,
  8.815051270283185,
  9.131651154350122,
  53.619234609033604,
  20.089581766054273,
  35.1084501804067,
  26.645483296723526,
  18.641497217540568,
  11.719714456005262,
  39.168555244382844,
  18.404562269875093,
  45.643598068679694,
  52.62848238083367,
  6.569409511812483,
  83.30804954363931,
  12.560965421428072,
  64.57265826941412,
  8.445094843982634,
  23.88593932566581,
  29.78474207562683,
  22.23958623775078,
  68.85672265996446,
  21.100583907746593,
  7.463009854240751,
  46.65218794577004,
  46.732716572522136,
  11.038635227255199,
  8.25450997248873,
  12.140265554048575,
  21.98936368079805,
  10.446862191542397,
  42.24597055728413,
  46.57372591017061,
  48.892189662432386,
  44.837132741767455,
  17.361764053152335,
  61.688302015305545,
  124.10761975758899,
  11.669386398708358,
  27.54913328709737,
  55.70584236496167,
  66.4199724470653,
  87.75500801457731,
  5.244353046821316,
  22.66964784996362,
  10.42351224774631,
  6.57449033124626,
  52.7083450272185,
  58.29240946025084,
  34.77760723071012,
  27.861229128801767,
  43.43814029159615,
  14.980911024311473,
  24.07002047912707,
  35.33751518106618,
  18.594922548969453,
  8.041982485014458,
  32.58483943528315,
  18.354334321295863,
  5.439502008623398,
  12.763533415425828,
  61.84200604461307,
  15.875086816139063,
  49.00645403853277,
  43.885532284311026,
  40.48120151406326,
  41.569160663247075,
  106.47733878801806,
  12.581124397055166,
  40.37883036038274,
  8.528021006113699,
  73.87866146717141,
  20.234160737645844,
  48.65459690007284,
  36.27974705913112,
  35.146144209297574,
  23.576169717049943,
  93.92833141107296,
  110.13019110780985,
  10.276086447866568,
  36.359942146684325,
  94.39503576481782,
  44.90194284284223,
  11.773600773627185,
  53.970359948196105,
  20.715337687710534,
  10.577586442819772,
  12.675493344099792,
  36.67278320746289,
  23.029227631042673,
  7.7890156688251855,
  11.207829211584166,
  51.67070047330138,
  11.275694009139578,
  13.699336446002183,
  97.75578101545541,
  79.77856896348304,
  62.752327222176596,
  5.967535234416828,
  61.25052499293868,
  95.08009346485636,
  32.40443340434527,
  30.148643388427168,
  78.87115081346128,
  80.5663543464681,
  22.207109785200092,
  69.09184829663022,
  45.48309092705827,
  58.2655015539358,
  10.53996369117431,
  43.8132562386279,
  10.921841773616052,
  7.422458012006562,
  42.57591975336316,
  18.95011594692333,
  5.357955055404771,
  5.2118884502715,
  15.837800236525451,
  5.970903283444817,
  7.798474027635349,
  76.51240651924736,
  93.45100620326266,
  8.717534587361627,
  66.09563975902847,
  14.389080036454313,
  31.4658423036253,
  74.88653866554542,
  7.614588694368779,
  11.21989388384389,
  27.735248649592094,
  161.60081940006924,
  12.348311530676838,
  50.76742218587892,
  18.881097342543956,
  49.04092354548018,
  16.04906988402631,
  84.97719162377568,
  19.8447854842104,
  78.15361462188072,
  6.103417759986628,
  81.91020646644706,
  5.4395423154191285,
  92.65161558331395,
  12.344380905236491,
  24.127729974204144,
  25.635362966815663,
  102.39576287523934,
  7.969018851357156,
  37.673601471705204,
  14.399954299346993,
  12.69101593744042,
  8.456149883709788,
  30.061762591450925,
  22.438162829354194,
  22.166870407352423,
  5.286689924842319,
  12.567641458178361,
  44.477254519674794,
  100.72823798000206,
  56.69036628793747,
  31.47589638684189,
  95.04116994093691,
  6.8808799207143245,
  33.319506416587465,
  54.44927931357917,
  86.43523394554452,
  13.707863232911313,
  18.664038328886093,
  22.156497356258566,
  10.324155402528548,
  24.62903076150491,
  75.50611495086065,
  8.017925733005665,
  37.82195631127801,
  48.21816984347165,
  13.394229764920512,
  54.31714708624602,
  5.914233142038375,
  75.14155181450522,
  44.363799223998505,
  78.27185710756801,
  68.55324754514496,
  56.4569999741629,
  14.06704395842513,
  104.37282109413499,
  7.365710883477839,
  52.099138141760946,
  66.7019942967429,
  12.50917755443809,
  14.171503570976476,
  41.93333935915177,
  7.571118038820552,
  74.61742913021983,
  36.484361138090044,
  67.50143673124464,
  38.109825929143256,
  25.83689764492063,
  31.698932785101853,
  21.951563110472097,
  8.48320478303177,
  14.351347810796604,
  57.944134262677906,
  8.795795829181822,
  19.078197990837733,
  70.72087851429134,
  72.67335195832541,
  10.146560146420454,
  10.010736882749422,
  15.154534894875791,
  5.784665754137096,
  8.647101420785873,
  13.189429182708864,
  85.1914420480371,
  24.20276309054764,
  58.51662984341288,
  54.09823633853753,
  7.357518749699318,
  154.5994403138975,
  112.09822126368627,
  90.3449321537317,
  52.79390472716291,
  97.63998094825556,
  53.10664886042774,
  59.56529897939595,
  14.463368339098967,
  21.217964316379547,
  17.560036408981954,
  25.43218837443213,
  12.956419025104399,
  69.92293316839968,
  21.18836691926231,
  89.03662496282159,
  84.2624562929496,
  30.329731263669274,
  8.111720273192924,
  52.697143726889195,
  19.5728815807543,
  5.368661863101607,
  23.552729876793784,
  10.25828616207523,
  121.53948364376112,
  12.169911706533417,
  28.68105472687548,
  64.85550434864133,
  99.1289350723663,
  5.459697228130143,
  22.524406713202048,
  12.868435703188618,
  5.300866189083641,
  18.47038471509701,
  15.44640507687709,
  38.006474630440735,
  55.37007708032992,
  69.38031451306811,
  104.32081057331399,
  18.484237122677214,
  13.60786834484762,
  33.708126799941965,
  68.33681490750845,
  7.280548338637993,
  86.70172751316309,
  10.64680772864189,
  27.031707132158914,
  68.35364689126553,
  23.482904119406193,
  51.79246828889838,
  90.43418569215288,
  14.072000964791222,
  19.222315078905915,
  15.997246669747001,
  39.86551596714344,
  8.737967308537465,
  74.25128085033307,
  38.411487026622275,
  25.894847151300834,
  10.45066461320118,
  25.7153325261201,
  23.564721682193614,
  85.88246142545508,
  7.604925632739414,
  100.58994491909273,
  37.17223033046549,
  8.37343003838811,
  13.680164701899194,
  10.58266232135698,
  71.69298195527405,
  7.802856639286231,
  8.737463761616787,
  29.098124851852685,
  23.775414121476054,
  7.651012353621018,
  8.890847358518547,
  32.03632621788909,
  21.636327128478264,
  8.562572172326448,
  14.292323155782523,
  179.09963225213167,
  25.51660099145204,
  9.873706775438414,
  11.143742422182248,
  15.555773695632261,
  7.803666912091468,
  52.42633714133913,
  6.215522833100058,
  33.606964728774,
  53.55659272703391,
  26.115242296267386,
  16.58335736233792,
  18.516168466978662,
  5.15712772512672,
  149.1993192956743,
  5.574517924531046,
  17.719308076625808,
  5.068573459091698,
  6.235369071745583,
  63.71740831065201,
  11.91352554143517,
  18.592381504065234,
  12.375910578030899,
  6.573294986089796,
  66.7136751170274,
  67.0923975622688,
  52.79552063960911,
  6.485152210007509,
  46.78500288189307,
  82.71243685345691,
  87.06447886686824,
  64.89425994435689,
  43.13168791929552,
  26.56748926116468,
  8.393854397249388,
  49.207701146966556,
  56.921950597157874,
  16.67508223343848,
  37.57729418088006,
  51.81532939056399,
  18.116786821205203,
  40.22620339230672,
  65.51638754728096,
  52.03536578563601,
  38.2601483375102,
  65.11165661669392,
  43.093051170057265,
  13.306043094894493,
  60.24845454067124,
  16.528641619893694,
  18.5327763465522,
  59.958170029636875,
  22.612557820296434,
  155.73346291116476,
  30.3735255118774,
  59.96262945214174,
  31.535905124922,
  38.68560954563161,
  14.764787967723235,
  7.245926757652913,
  56.83696750384936,
  72.53909030676476,
  5.636686330138056,
  88.85512315438457,
  9.437893142671896,
  17.986414272722744,
  15.625745651133569,
  13.837343853130612,
  43.6299755980024,
  32.80278790453314,
  72.47296398727156,
  6.568225231767827,
  21.216116867491458,
  29.262908047044018,
  20.54500861934475,
  76.56399214745383,
  33.085273004996786,
  14.72658996558548,
  13.627940950031897,
  7.6607609599042785,
  26.62551778765998,
  7.520295060575047,
  40.846337415298514,
  29.348201340078624,
  39.399234079325254,
  5.220655830036413,
  17.563584587950153,
  10.319827375794553,
  44.540181815141615,
  26.75135892790101,
  76.38484571481999,
  111.51003721539209,
  25.15775813006235,
  46.60271469136169,
  6.292049813324967,
  11.310926576386118,
  7.001780516777298,
  38.12315314903549,
  17.4054661503176,
  12.25610400236559,
  26.985929587955734,
  26.967149062386014,
  26.467067062936167,
  57.9165529972569,
  118.24912053627834,
  36.83253852962311,
  60.53217426611244,
  76.2737647779216,
  14.170399127554278,
  11.594577411171024,
  52.16571510295643,
  12.103767629495865,
  23.069945574191767,
  49.63338562975039,
  49.5523076493133,
  89.01178389286856,
  22.67166835130313,
  7.839726518824226,
  57.1118312533744,
  75.34791419715009,
  85.33892221899251,
  144.51283809724688,
  10.53348406633882,
  16.461920838299044,
  50.50848632700715,
  19.4636071966355,
  27.038312597320893,
  49.92811314925688,
  18.957285036613165,
  40.25011600042133,
  17.322812104350938,
  54.603858519401555,
  7.09491677559793,
  9.122121933463593,
  16.16412182591384,
  51.99992083742714,
  26.950967782809023,
  86.52373229289358,
  33.892019762561084,
  47.01029942210158,
  12.593596705558122,
  33.99670429087301,
  16.600925685201396,
  5.941569697398338,
  19.482840890522063,
  29.49339942224315,
  48.10241460078539,
  55.27778232398493,
  50.32967258931638,
  14.508546045884918,
  6.6100682240160396,
  57.36551291173326,
  45.88345572731563,
  121.78162869079436,
  109.5349290508787,
  9.845401303010297,
  34.555934252304176,
  30.559233380423933,
  70.1508862725623,
  45.96969110355386,
  74.28161159963048,
  51.27300177361708,
  40.48941158014621,
  38.38907878931494,
  5.6758371009223705,
  10.849354652218716,
  56.6887680232376,
  11.209311409515442,
  8.45639133553855,
  26.113439267075854,
  8.809494860241168,
  47.03638418323073,
  123.7384891088364,
  25.628537859316637,
  7.108752720629267,
  61.455274558282504,
  22.599387384804913,
  9.376331195371716,
  16.07357275564786,
  103.18935906270457,
  27.352820580716845,
  42.663365927324676,
  5.028520796135729,
  75.62899608692202,
  82.2923069951609,
  82.83842848163944,
  41.735952451458644,
  46.618310678699096,
  17.477486194079695,
  20.941527131348614,
  70.83411291421373,
  40.20438567328057,
  25.685835946136734,
  29.076992849470003,
  80.6602497132051,
  23.923232378604524,
  8.468155935827244,
  25.791327209431458,
  18.23388955203419,
  79.07715128724456,
  67.56327147300962,
  74.48744295894369,
  29.7671682874434,
  19.454498938874714,
  38.5908365706032,
  7.077980152724184,
  11.253324065509084,
  7.599312417979823,
  166.10285932658195,
  5.4878340637743666,
  21.317889948165046,
  40.664800083155995,
  13.369185056685886,
  34.749493255114956,
  7.169425308877603,
  58.98968822954186,
  32.02587207652734,
  27.84038655125105,
  28.045582746906483,
  18.782994006841058,
  48.89017311039741,
  12.422914203918152,
  95.22430102061264,
  11.333559046004927,
  121.13533022228016,
  136.6909796764885,
  17.497134449089206,
  40.87545337085154,
  8.806523838303413,
  129.35479112607516,
  11.430300279194626,
  52.82947800380833,
  62.87695773604151,
  109.5094647961416,
  30.797915610121066,
  5.830640701792975,
  94.12590995167217,
  59.580756025275974,
  6.323970600226943,
  13.055054729460938,
  52.13157660759138,
  10.238306110563807,
  59.56435121802811,
  8.27507582073938,
  96.44212981316093,
  42.84995040303445,
  54.051967731586146,
  43.5904874498961,
  71.81721097638214,
  17.91807743804334,
  7.998799326033534,
  6.894029740401149,
  19.703195602286655,
  78.9811858317742,
  16.233794686595104,
  5.210786730159755,
  105.8583379180981,
  50.23712294672602,
  17.76368735217552,
  11.13723135130147,
  40.54849999335242,
  16.35953390503806,
  36.26776887348779,
  37.80062562091355,
  54.06352848531236,
  13.938559787953539,
  74.83798066647745,
  5.84177162725784,
  12.903939780811612,
  40.426544613383925,
  10.712893284176777,
  43.72150561871368,
  81.7395868443597,
  55.756968550098925,
  10.25308206492711,
  68.90553828612741,
  6.69366602655343,
  101.89820586469624,
  55.82793512690492,
  6.430147894030381,
  52.73104228038718,
  110.17677919549138,
  28.177083212153146,
  7.3707251609953115,
  114.09925955949828,
  34.41747595561149,
  13.734995448442989,
  50.87683837513549,
  6.321480445410954,
  23.285106465235245,
  7.252885139533252,
  5.3718731235666555,
  69.32725919822472,
  20.075165999100925,
  8.06941573070676,
  69.46099380668052,
  7.088668653702575,
  33.26090897378749,
  110.51143614312323,
  40.992179815633975,
  21.594991595763133,
  66.0814281020304,
  7.968136481098234,
  34.70511440998546,
  8.931249210784584,
  5.993957637478937,
  41.4468190135731,
  12.797991385809436,
  57.28891638311647,
  18.08141912461611,
  24.770409495702484,
  15.16957781478261,
  53.21915317533946,
  10.141184765360709,
  89.06904527242563,
  45.862021400268205,
  5.032192956028386,
  24.962591724637043,
  73.8293820912239,
  5.694134826325948,
  77.42695384518858,
  42.68910277606189,
  8.833454092524857,
  6.2681477876898875,
  79.91251724722628,
  18.972917324189034,
  28.526153703748893,
  9.3055810988046,
  41.98151225693536,
  65.78757153463621,
  54.29848392474017,
  19.97744790083423,
  28.292770852803915,
  46.42233239857681,
  11.555105214284167,
  5.082750388289468,
  16.60913526499374,
  16.697117913863245,
  27.896644452384802,
  8.026987397015139,
  15.811390491283403,
  16.515586786693884,
  15.769901212375366,
  49.18284903186135,
  7.056520222584476,
  9.43834337188554,
  119.75927721797441,
  72.59985500680475,
  55.772560494391776,
  22.715193064677372,
  42.19923034797787,
  9.37895700939876,
  52.5662729895543,
  21.398817743617137,
  42.19373054546462,
  8.229971598206351,
  30.802762321507565,
  19.26000956035976,
  22.861764126215785,
  24.063706822002757,
  197.66018165989212,
  169.52441350079096,
  8.367782113797343,
  32.37493949980079,
  20.575105433765643,
  15.998108989043756,
  26.750829064897125,
  6.537249181790593,
  7.014902728432015,
  46.001455400329824,
  11.010924978672842,
  28.7229539939941,
  15.28722713614902,
  13.110218195766178,
  17.47507538325394,
  22.129890770158944,
  8.527684480676557,
  5.644881814581819,
  88.18846779318626,
  9.566752978290543,
  31.09778248045299,
  15.283120003505694,
  14.356510411948406,
  17.461105543001246,
  60.66499934829895,
  23.514648865636417,
  67.3493692385637,
  33.86331890809293,
  13.761108642069958,
  81.82371166939144,
  20.40828851903425,
  55.68328564478444,
  24.20627794600627,
  20.020511063353684,
  65.52952187558482,
  14.945057772114781,
  14.824129544096703,
  28.443005047653624,
  122.14569514213952,
  17.75580482827548,
  57.039556101921946,
  99.12493247342194,
  61.97520775468695,
  23.48923850503083,
  79.10553465921527,
  67.66134231125625,
  9.44044397665249,
  45.40103788602171,
  70.36690242866162,
  68.9305496115569,
  24.286663833168774,
  22.54555523320889,
  35.0473150010316,
  6.630858229340505,
  5.210680256476463,
  62.52670657598111,
  61.08820330924141,
  47.7331332630367,
  30.106385759227443,
  27.3115352514289,
  43.11988312485249,
  82.60728700804387,
  48.772173097528125,
  10.017782811713355,
  76.63098377847234,
  23.53026475651968,
  158.52570456439074,
  33.369109328416776,
  59.00849178973047,
  28.246271024149245,
  8.212709452721878,
  65.82187288229271,
  11.124081454724564,
  18.21241522794235,
  22.303267967796046,
  141.1392912611424,
  74.44935915523484,
  92.2281277546843,
  26.48342797159338,
  51.146543233939255,
  36.52813329994525,
  25.17614616735694,
  31.687265419693958,
  32.82715752822653,
  22.583202448410578,
  14.090583783751537,
  102.32449857942156,
  12.701408763585382,
  6.542570952636153,
  77.92110984225337,
  72.33670708905647,
  6.315920642506715,
  21.669443090736095,
  100.31852683254579,
  6.884671195625055,
  99.22870644521794,
  10.89458768684488,
  13.136732506867121,
  34.300906150617095,
  42.23210585120889,
  28.705578742877922,
  39.921540464263195,
  39.71150944975019,
  7.5800477376668915,
  60.55119776657464,
  13.348429522347523,
  12.81025262701794,
  19.92324049940388,
  139.7525159998965,
  7.493660300031235,
  63.477186652000164,
  21.312093421296826,
  57.06444993307549,
  27.590648185638173,
  13.454514582960241,
  14.130855905340479,
  15.948151821650544,
  12.05530303355914,
  8.80585757982494,
  72.86415988052119,
  41.47128343455314,
  48.62193226827624,
  31.902675026793872,
  53.577204905891875,
  37.43399891144871,
  56.500473219783395,
  89.690169680374,
  10.247861794945216,
  ...])

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);

([2410878.3236715356,
  2510403.198819551,
  2615929.2200102624,
  2629998.243373321,
  2766661.912316664,
  2767078.125,
  2768208.3137393985,
  2768623.4375,
  2768897.9737052866,
  2769000.2969497545,
  2769586.1295495657,
  2770846.9608796416,
  2796650.274862127,
  2796937.981130641,
  2817003.125,
  2822701.5625,
  2828056.25,
  2828421.685323112,
  2828448.2191430377,
  2903261.6610954003,
  2903482.8125,
  2903493.9427056387,
  2904255.831175789,
  2905093.9933023797,
  2906712.3898700243,
  6685524.69849735,
  6686564.0625,
  6688967.1875,
  6689409.375,
  7432315.625,
  7508392.09837665,
  7649671.875,
  7664296.216012348,
  7664918.272628031,
  7667050.0,
  7680006.25,
  7680068.75,
  7684829.662450865,
  7690452.760471836,
  7696848.4375,
  7797453.121789584,
  7825858.956334216,
  7830928.800561078,
  7845356.661056139,
  7845376.209556678,
  7846124.1389946295,
  7856130.872310626,
  7858905.951874148,
  7865723.957956038,
  7890661.91535774,
  7909990.385459922,
  7913989.92115621,
  7925601.976864928,
  7945200.0,
  7963539.728970889,
  7973234.03098498,
  7978973.013713386,
  7980137.5,
  7989136.517302775,
  8024849.73149441,
  8026462.5,
  8034798.509732753,
  8038505.085479431,
  8049293.89512544,
  8065852.693791815,
  8071915.625,
  8074654.390573004,
  8074671.870251026,
  8076404.6875,
  8100972.520812417,
  8113810.9375,
  8128249.05967944,
  8130281.683406384,
  8137787.2757795565,
  8143571.484551034,
  8146166.215359169,
  8147182.8125,
  8164943.163505923,
  8174262.425597695,
  8175638.511843887,
  8182281.318898913,
  8186068.727895767,
  8186223.282907839,
  8190950.746851011,
  8191550.547585426,
  8192191.863016108,
  8192687.669464561,
  8192955.321675962,
  8193169.718463066,
  8193210.9375,
  8193236.389906673,
  8193349.54939631,
  8194068.036054829,
  8194533.660134087,
  8195579.300861744,
  8196082.412735748,
  8196115.230711755,
  8196649.909468041,
  8197001.5625,
  8197329.6875,
  8198357.711489931,
  8200680.2154906485,
  8201998.4375,
  8202209.420706312,
  8203000.510490189,
  8203498.98784903,
  8206497.082026295,
  8219878.125,
  8221086.823001397,
  8222506.699564685,
  8223668.493512889,
  8225927.244786416,
  8226106.25,
  8227229.6875,
  8227308.826466292,
  8227626.542640014,
  8228701.413760497,
  8229275.605591726,
  8231746.156423853,
  8231757.244542709,
  8233394.156323375,
  8233601.5625,
  8234137.0491197305,
  8235282.8125,
  8238854.01218389,
  8239669.2997986665,
  8246612.62536762,
  8247490.56573245,
  8248638.545842616,
  8250777.23942024,
  8254464.573362198,
  8277131.25,
  8284237.206109788,
  8284640.225902416,
  8286074.311811855,
  8308553.125,
  8310658.167135554,
  8312135.109478802,
  8319659.311379047,
  8322722.792899762,
  8324896.875,
  8329883.002840503,
  8334543.75,
  8335927.370971936,
  8335954.6875,
  8336991.92734337,
  8338379.425996713,
  8338541.733768878,
  8339422.183956349,
  8340222.725428227,
  8343085.478921818,
  8343289.844416702,
  8344317.672909291,
  8344915.625,
  8345404.863621374,
  8345426.5625,
  8345848.207698959,
  8345989.938699943,
  8346153.698992726,
  8346164.215654319,
  8347457.349268777,
  8348522.671711577,
  8348777.162102106,
  8350962.5,
  8351002.87592616,
  8351323.395307299,
  8352114.077505234,
  8352145.974499389,
  8352445.3125,
  8352541.024144238,
  8352652.776769662,
  8352840.054901692,
  8352886.681627327,
  8353004.6875,
  8353124.265165087,
  8353219.475734413,
  8353815.424679782,
  8354087.5,
  8354491.879410203,
  8354682.63994126,
  8355634.375,
  8356255.828429344,
  8357529.524749102,
  8358606.97783325,
  8363964.385818912,
  8364945.544898525,
  8367102.267796018,
  8367713.598684543,
  8367717.165014091,
  8381365.872856971,
  8383314.445129049,
  8384406.827433341,
  8384979.6875,
  8386252.57122721,
  8388067.063252847,
  8390513.714471366,
  8392386.360967191,
  8394297.275762876,
  8394797.593697257,
  8396965.262750374,
  8397288.78554846,
  8402190.058280602,
  8402335.629006555,
  8402395.3125,
  8402404.038461521,
  8403473.58431263,
  8407347.11847575,
  8407735.406205578,
  8411228.125,
  8413607.433717694,
  8413909.905538296,
  8413910.670192268,
  8419950.184137661,
  8421927.169771241,
  8422434.352188576,
  8422862.616434796,
  8424074.415081568,
  8424085.256430386,
  8427026.316421926,
  8440126.432648964,
  8444461.846768714,
  8444871.875,
  8446787.39721366,
  8446892.907156602,
  8447378.47337948,
  8447852.659004886,
  8448058.497416416,
  8454673.4375,
  8458239.0625,
  8459402.068268927,
  8460150.727334896,
  8461468.836935855,
  8462017.388849966,
  8462565.913193969,
  8463280.553211931,
  8463287.338167116,
  8464294.884211533,
  8465500.0,
  8466316.647230806,
  8473673.032402148,
  8476302.381019846,
  8479142.272807295,
  8484809.317257449,
  8484990.563863875,
  8486588.063750742,
  8487605.798349537,
  8488505.765883029,
  8489768.135695586,
  8490106.044482287,
  8491155.613774044,
  8491468.75,
  8492191.141995741,
  8492206.25,
  8492996.875,
  8493312.820950605,
  8493828.073703779,
  8495293.141240146,
  8495843.75,
  8496296.55350811,
  8496421.846668623,
  8499760.547874251,
  8500122.93485923,
  8501469.285766782,
  8501571.875,
  8502034.375,
  8502314.0625,
  8502733.92871314,
  8502740.191827064,
  8502827.506934859,
  8503085.662090775,
  8503228.025666617,
  8503230.40041884,
  8504127.63193737,
  8504350.769287294,
  8504435.052400962,
  8504522.908298966,
  8505405.530901086,
  8505485.146081729,
  8505525.225117695,
  8506252.972086912,
  8506810.9375,
  8506884.375,
  8507184.375,
  8507227.973879335,
  8507521.07843339,
  8507665.625,
  8507831.68027428,
  8508315.194037639,
  8509849.254755232,
  8511368.75,
  8515758.624557912,
  8515780.842308866,
  8517482.498709392,
  8518008.5194846,
  8522474.70149918,
  8524144.689541899,
  8524805.524182346,
  8526130.085182643,
  8526413.408435803,
  8526705.064836089,
  8528008.76264624,
  8528440.043330684,
  8529144.929528058,
  8531532.05643427,
  8531745.155298557,
  8532312.046706447,
  8532836.423510551,
  8532917.23816213,
  8533357.8125,
  8533837.592658533,
  8534766.818364752,
  8534785.9375,
  8536841.70762921,
  8537307.8125,
  8537414.379940197,
  8537986.459767135,
  8538521.875,
  8538712.36591431,
  8538762.5,
  8538814.72537783,
  8538990.625,
  8539001.131216317,
  8539099.598446613,
  8539167.1875,
  8539190.625,
  8539737.088355148,
  8540040.625,
  8540218.614176746,
  8540396.345891312,
  8540725.634580642,
  8540784.504340518,
  8541450.460560787,
  8542645.641607357,
  8542826.779327277,
  8542889.417215778,
  8543308.32185903,
  8543310.25269262,
  8545020.170275325,
  8545024.172283255,
  8545335.9375,
  8548920.587333389,
  8552740.123510828,
  8553195.091926847,
  8556315.656275203,
  8556376.620688567,
  8557246.833814757,
  8562895.147390814,
  8565024.864144543,
  8571540.625,
  8573002.722177709,
  8573010.36075693,
  8573915.888103874,
  8574840.625,
  8578035.254702125,
  8579306.079735048,
  8579440.77102915,
  8582091.458768798,
  8583029.15927631,
  8593056.123453137,
  8596302.22262767,
  8596753.752218166,
  8597526.396985212,
  8597611.371847847,
  8598877.471997103,
  8599564.006026367,
  8601749.093198605,
  8603082.063008567,
  8603381.557465391,
  8603785.9375,
  8604077.714791942,
  8605926.127490016,
  8608001.419483462,
  8608219.510071019,
  8612318.75,
  8612337.5,
  8613548.4375,
  8614765.119221132,
  8614806.25,
  8615100.560798777,
  8615434.375,
  8616623.4375,
  8617901.949749034,
  8618849.633732207,
  8627856.972901799,
  8628672.76556347,
  8633327.541922951,
  8633337.265782142,
  8634159.375,
  8634426.017404187,
  8636254.6875,
  8636352.008753005,
  8636418.274708392,
  8642110.9375,
  8644435.643836657,
  8644915.625,
  8645484.684076974,
  8645617.525117625,
  8646345.3125,
  8646618.75,
  8647166.937455889,
  8651315.625,
  8652371.166780133,
  8653623.257948011,
  8653914.0625,
  8654228.859427176,
  8654968.076273452,
  8655014.0625,
  8660681.160312109,
  8663011.96195516,
  8666830.93577553,
  8668646.486024484,
  8673492.174863303,
  8679231.097471183,
  8682822.033737337,
  8683219.857262585,
  8683792.541694736,
  8686081.086040026,
  8686187.438729746,
  8690882.102981929,
  8695883.593261203,
  8696029.76529894,
  8696740.625,
  8696799.266293922,
  8696863.207231224,
  8698010.992289178,
  8698860.53329297,
  8700874.062238058,
  8701008.824347574,
  8701536.190997623,
  8701705.393334394,
  8702407.8125,
  8702599.288363937,
  8703003.952867478,
  8703190.176673476,
  8703896.045987656,
  8703946.875,
  8703957.8125,
  8704025.0,
  8704437.266378084,
  8704442.1875,
  8704607.681131212,
  8704708.84696941,
  8704711.488462374,
  8704740.446142418,
  8704872.796751646,
  8705120.94462212,
  8705126.33411109,
  8705332.591132872,
  8705472.842979673,
  8705599.47905163,
  8705630.904028218,
  8705990.625,
  8705998.044926599,
  8706019.510148393,
  8706171.87053643,
  8706244.674609387,
  8706274.165324863,
  8706281.828060498,
  8707060.9375,
  8707374.75164368,
  8709137.5,
  8710396.82669924,
  8710957.410021486,
  8711057.13645204,
  8711086.250870118,
  8711188.706526453,
  8711254.813945401,
  8711306.25,
  8711370.3125,
  8711371.875,
  8711381.25,
  8711403.82172846,
  8711560.5372734,
  8711609.306850098,
  8711689.0625,
  8711847.447525091,
  8711882.749481456,
  8712005.918889517,
  8712034.29472249,
  8712095.3125,
  8712174.678738652,
  8712307.8125,
  8712350.0,
  8712457.642076911,
  8712527.362639727,
  8712537.751907708,
  8712563.45214821,
  8712571.07854842,
  8712628.125,
  8712666.921106964,
  8712679.88624613,
  8712738.58138614,
  8712792.027167384,
  8712798.867743965,
  8712812.030558364,
  8712820.317164522,
  8712867.1875,
  8712895.3125,
  8712912.660706291,
  8712952.221917484,
  8712980.870870024,
  8712997.111371262,
  8713127.08263455,
  8713213.265281405,
  8713229.0175054,
  8713260.450604578,
  8713318.880186075,
  8713355.678576294,
  8713363.608082386,
  8713385.45173895,
  8713462.987826465,
  8713750.066170972,
  8713838.006337654,
  8713877.95171701,
  8713894.32854513,
  8713961.246162126,
  8713973.589835918,
  8714042.709623784,
  8714075.0,
  8714116.767241819,
  8714126.53631978,
  8714143.75,
  8714168.615011247,
  8714184.748009987,
  8714219.45142512,
  8714243.392907064,
  8714349.775067043,
  8714443.012720903,
  8714450.028623208,
  8714712.482238509,
  8714795.056349294,
  8714860.9375,
  8714977.139708411,
  8714985.087549971,
  8715044.424578642,
  8715327.09122156,
  8715496.521717286,
  8715729.6875,
  8715801.5625,
  8715965.61261938,
  8715995.3125,
  8716590.625,
  8716770.3125,
  8717187.278772678,
  8717464.513385048,
  8717574.03032097,
  8717600.197498929,
  8717854.64628613,
  8718343.75,
  8718514.453421041,
  8718579.247684376,
  8718900.0,
  8718986.578615203,
  8719322.997879887,
  8719360.9375,
  8719378.125,
  8720082.8125,
  8720184.375,
  8720421.875,
  8720644.805180077,
  8722165.625,
  8723105.049697353,
  8723433.516359558,
  8723678.94030864,
  8724104.704355735,
  8724265.248499578,
  8724557.8125,
  8724643.747553607,
  8724810.9375,
  8724856.25,
  8724909.327849347,
  8725269.203266045,
  8725307.186603695,
  8725328.125,
  8725341.027150359,
  8725574.989793774,
  8725581.373311788,
  8725614.53409121,
  8725937.66863704,
  8726099.759890534,
  8726117.562127903,
  8726266.970333127,
  8726382.8125,
  8727119.248757146,
  8727185.846825296,
  8728043.977593357,
  8728188.461899027,
  8728601.501901843,
  8729189.792594785,
  8729464.004947016,
  8729499.6066488,
  8730120.468791382,
  8730710.833528882,
  8731126.327201862,
  8731566.64661125,
  8731617.1875,
  8731805.264237475,
  8731811.600767108,
  8732092.739060948,
  8732102.538358396,
  8732391.50493165,
  8732907.187419726,
  8733039.0625,
  8735904.339169597,
  8737142.900809763,
  8737545.3125,
  8737742.381699061,
  8737823.551639022,
  8738429.211811125,
  8740712.933130981,
  8740893.765070785,
  8741249.056555718,
  8741314.188638005,
  8741321.799507769,
  8741634.261550406,
  8742178.144763405,
  8742270.3125,
  8743393.75,
  8744188.753312992,
  8744880.58124287,
  8744888.844326552,
  8745331.52947666,
  8746075.0,
  8746195.858483717,
  8746304.332266076,
  8747391.174136847,
  8747707.8125,
  8748140.128623227,
  8749379.298051614,
  8749594.359719027,
  8750004.6875,
  8750168.739419512,
  8750787.382003265,
  8751066.308794519,
  8751487.083381778,
  8752882.433905171,
  8753891.544207385,
  8755669.581758143,
  8757181.170100791,
  8757829.6875,
  8758207.444745282,
  8760778.125,
  8762205.19770087,
  8763376.5625,
  8763387.398085866,
  8764199.741669351,
  8764270.600109618,
  8764339.0625,
  8764524.257037459,
  8765208.402103165,
  8766551.704581589,
  8767198.4375,
  8767461.708839295,
  8767472.431998633,
  8768108.255192127,
  8768218.774817461,
  8768372.709235135,
  8771969.608240591,
  8773980.182359867,
  8774412.5,
  8782567.1875,
  8784671.756572064,
  8787294.49206726,
  8787540.542516872,
  8789421.875,
  8792728.920909539,
  8792764.79188214,
  8792928.676165462,
  8794684.375,
  8795774.35075777,
  8796273.4375,
  8796990.625,
  8797910.9375,
  8799000.0,
  8799573.39241775,
  8800164.0625,
  8800240.127932413,
  8801899.814308092,
  8802279.6875,
  8804970.36408821,
  8805103.432885142,
  8805800.99599417,
  8806105.560746351,
  8806905.415365778,
  8810509.375,
  8810531.08404113,
  8810849.951469833,
  8811120.3125,
  8811218.354182247,
  8811462.552660607,
  8812162.408005,
  8812275.0,
  8812660.375091137,
  8813489.0625,
  8813647.65015811,
  8814550.76001554,
  8814861.80377046,
  8814939.685085844,
  8817559.375,
  8818111.811851554,
  8818256.355494704,
  8818537.262441285,
  8820051.5625,
  8820101.503014699,
  8822959.21276047,
  8827941.988681497,
  8829406.763716733,
  8833250.85199438,
  8834003.453277828,
  8834170.157056177,
  8834310.034157857,
  8834509.375,
  8835112.5,
  8835282.278304543,
  8835368.75,
  8835657.080582947,
  8835883.081145152,
  8835885.769504907,
  8835996.953906512,
  8836570.301634165,
  8837673.042753136,
  8838095.906086318,
  8838311.096158748,
  8840365.625,
  8841416.703176046,
  8841616.998273391,
  8841901.741909444,
  8842167.288721781,
  8842564.985044194,
  8842817.020440165,
  8842824.97532107,
  8843246.05449856,
  8843440.625,
  8844183.508412562,
  8844292.1875,
  8847356.37782341,
  8847807.8125,
  8848004.6875,
  8848522.41529729,
  8848846.875,
  8849130.556361986,
  8849490.945834145,
  8850223.622832268,
  8850696.875,
  8850786.279751422,
  8851939.867956774,
  8852402.092211632,
  8852564.285156531,
  8853843.370372154,
  8854782.8125,
  8854905.124015868,
  8855033.772978023,
  8855784.375,
  8857936.845240993,
  8858606.25,
  8858781.228186976,
  8861320.3125,
  8862643.75,
  8867064.0625,
  8867696.09472422,
  8867903.125,
  8868213.109787058,
  8869286.913047241,
  8869717.807921074,
  8870380.549670845,
  8870547.672166448,
  8870753.845836578,
  8871433.099142483,
  8871910.932641659,
  8872054.62502235,
  8872702.147306114,
  8872801.568584977,
  8875810.9375,
  8878020.640657071,
  8878923.4375,
  8883959.375,
  8884807.458627563,
  8885448.146879843,
  8885586.812371016,
  8890498.806168284,
  8893125.90078381,
  8895764.953022089,
  8896752.842351023,
  8897577.208218252,
  8899140.625,
  8899237.256037267,
  8901532.170226738,
  8901556.25,
  8902054.327306965,
  8902811.53314989,
  8903240.625,
  8904390.251866117,
  8906383.657182014,
  8907239.0625,
  8907770.294685803,
  8908378.995376546,
  8908517.1875,
  8908526.5625,
  8908551.20532182,
  8910565.325328523,
  8910620.73039288,
  8910655.935216552,
  8912309.852462547,
  8914161.786295064,
  8914345.889867922,
  8914968.749097824,
  8915232.377955256,
  8915598.4375,
  8915906.123802485,
  8916746.875,
  8916900.0,
  8916990.625,
  8916991.697653824,
  8917076.889262412,
  8917083.720023569,
  8918396.875,
  8921185.423043242,
  8925591.230800554,
  8925646.875,
  8925647.732660053,
  8926157.8125,
  8926264.870244902,
  8926343.525842737,
  8926942.246076696,
  8926964.0625,
  8926986.761591036,
  8927107.695964232,
  8927173.427850712,
  8927422.87515009,
  8928063.640855215,
  8928217.1875,
  8928360.73731133,
  8928640.625,
  8928831.25,
  8929233.720891487,
  8929810.945010945,
  8930300.0,
  8930519.516363552,
  8930889.0625,
  8930918.71930275,
  8930943.410786344,
  8930979.6875,
  8931133.907825671,
  8931161.47324988,
  8931222.502246263,
  8931229.6875,
  8931278.382246917,
  8931281.997719377,
  8931286.31557067,
  8931391.020184333,
  8931442.154953482,
  8931596.349583609,
  8931653.335922657,
  8931825.35960317,
  8931833.014091505,
  8931990.625,
  8932024.747093642,
  8932056.37382221,
  8932057.680976737,
  8932062.5,
  8932070.3125,
  8932102.735891383,
  8932112.5,
  8932185.993209327,
  8932325.0,
  8932326.578947406,
  8932454.6875,
  8932476.453901555,
  8932489.0625,
  8932497.680146521,
  8932501.189565524,
  8932529.411612213,
  8932610.608806951,
  8932610.680122951,
  8932651.712966265,
  8932654.6875,
  8932721.277773103,
  8932726.814594822,
  8932734.278430065,
  8932947.187676953,
  8933104.266046375,
  8933106.25,
  8933131.173979385,
  8933168.373499641,
  8933264.884510199,
  8933265.044256661,
  8933398.97403297,
  8933399.561550714,
  8933423.867209062,
  8933455.231780779,
  8933490.625,
  8933540.890812922,
  8933557.228460552,
  8933648.715850202,
  8933887.337558048,
  8933927.096642511,
  8933929.389098616,
  8933957.930836292,
  8934040.625,
  8934070.221345488,
  8934079.339020628,
  8934159.814206619,
  8934175.946412606,
  8934184.375,
  8934265.147772033,
  8934299.338519797,
  8934340.625,
  8934340.62593064,
  8934356.218859341,
  8934362.495838894,
  8934372.429317439,
  8934393.365248572,
  8934404.6875,
  8934528.125,
  8934537.218556046,
  8934548.11674835,
  8934553.125,
  8934555.059548188,
  8934590.751202464,
  8934645.982001444,
  8934676.5625,
  8934745.867604088,
  8934749.740828361,
  8934785.87191647,
  8934787.5,
  8934833.67215774,
  8934836.220032873,
  8934866.454389209,
  8934889.90058272,
  8934906.489439303,
  8934920.3125,
  8934943.685557885,
  8934946.875,
  8934973.129113695,
  8934976.356132146,
  8935113.213680314,
  8935187.5,
  8935317.269432044,
  8935467.570071079,
  8935493.75,
  8935516.189771505,
  8935598.065754978,
  8935638.920152929,
  8935691.15101252,
  8935699.997679375,
  8935703.629397389,
  8935762.07755329,
  8935781.39224955,
  8935817.1875,
  8935832.8125,
  8935860.82503539,
  8935869.875951892,
  8935880.819837883,
  8935885.104677487,
  8935943.348318996,
  8936002.174562842,
  8936008.977749122,
  8936021.39683765,
  8936103.55827386,
  8936107.870845305,
  8936115.97001779,
  8936140.625,
  8936196.546721553,
  8936258.188643994,
  8936266.704997689,
  8936407.8125,
  8936411.51555184,
  8936427.852173159,
  8936474.071610795,
  8936506.686563648,
  8936558.848620592,
  8936565.063182676,
  8936582.8125,
  8936664.0625,
  8936670.002463756,
  8936679.622924829,
  8936710.157888077,
  8936751.070652543,
  8936771.175205875,
  8936821.057378683,
  8936866.521673711,
  8936880.936519895,
  8936912.5,
  8936931.01097219,
  8936938.923233066,
  8936961.209850136,
  8936972.983746586,
  8937009.144712422,
  8937045.577502562,
  8937125.522131687,
  8937136.805377983,
  8937160.758387579,
  8937213.205227317,
  8937220.3125,
  8937262.5,
  8937270.3125,
  8937271.848882498,
  8937277.82135823,
  8937286.148949895,
  8937316.540822718,
  ...],
 [9.505237401700922,
  11.2450857777582,
  35.35461031297726,
  23.6343589573399,
  12.53864014297411,
  54.510260367366186,
  9.794525130616027,
  70.53365216128226,
  8.967786503183477,
  16.20856995621012,
  18.580788792262926,
  8.33252010932228,
  32.81206231235592,
  17.158762712868427,
  66.23963613090041,
  45.84073582721312,
  77.82948778884808,
  90.66046052326587,
  52.42885456361702,
  64.85916419337745,
  33.22897726067235,
  9.49984131653347,
  9.000709353808398,
  16.944716529992178,
  15.71904995526852,
  5.51862443034914,
  44.13670355912953,
  46.83173475587907,
  38.812231094673045,
  46.7155546682135,
  38.83130805198876,
  55.43784135077246,
  7.966344376785927,
  7.439247466457006,
  66.37206330970605,
  42.12812299801439,
  36.13052203604231,
  6.2640387688412815,
  39.3004767019531,
  59.127187124861585,
  28.46174277108031,
  59.85221243895312,
  52.53963874711694,
  7.2338672701680995,
  6.05214945807366,
  7.318928328425421,
  33.304376362589664,
  80.54550123842415,
  22.766844815387216,
  63.423711444283484,
  41.827083405737305,
  12.800409212308505,
  67.2555137669807,
  62.617981293688366,
  69.55567192372193,
  10.629440491821718,
  22.288621495936784,
  76.38389763705436,
  6.885056586294941,
  14.008161890133117,
  60.05186707603845,
  14.901167354085839,
  101.28118534155917,
  6.792829774160506,
  14.773696540752564,
  31.79536102014663,
  13.918893220561847,
  32.13108836899185,
  35.06057900994338,
  84.5219979279661,
  64.5312736328187,
  9.919422623641228,
  45.21890233287915,
  74.15507316288435,
  81.81981115564204,
  49.03309412991474,
  52.267098089002786,
  10.320006376979892,
  11.01336914974659,
  10.363809748709329,
  6.497946250336138,
  40.38736551386222,
  8.206483972770805,
  27.983805038460993,
  37.256363148765516,
  5.5963416341492564,
  9.478927030662563,
  8.653053137791,
  20.60366293979693,
  61.90577583710126,
  9.745664011308778,
  80.12915419553896,
  70.83421347935226,
  112.71472416126747,
  10.572750315646536,
  40.24939612746835,
  7.02152407486551,
  10.989087859047924,
  62.71922414027287,
  59.60745409521915,
  101.65637425490769,
  7.267523769394934,
  59.629952162245864,
  8.310896389233164,
  15.962058131863284,
  7.274048278149359,
  46.236376215714245,
  36.98505528777866,
  14.006113484552708,
  16.985259582307535,
  58.25806571249184,
  31.985985266274422,
  51.85668818500244,
  57.91243159320358,
  66.95565805893057,
  57.77740802767198,
  14.403352694708786,
  17.891901381008367,
  30.02578648152831,
  106.0226386927665,
  11.828337792551372,
  48.35018461806137,
  54.09191852788453,
  85.67755633123092,
  25.84900965389406,
  17.55314373316142,
  15.054962680616175,
  5.80960795075262,
  5.059620102992501,
  7.311538269908844,
  17.326592963856978,
  42.01928132117774,
  30.3902436893107,
  57.636772721647084,
  8.810217484539274,
  33.69281643938628,
  12.809551989445465,
  8.717336550936103,
  27.326234380687772,
  20.162506450153565,
  105.72216803989804,
  11.438851892177828,
  63.219409489103526,
  87.96696845967517,
  41.91819999834567,
  5.283118279344517,
  14.619588208048341,
  11.825476545359004,
  9.607060077587256,
  75.50004771528342,
  7.445391696431008,
  19.086713099572787,
  48.02072085408588,
  43.17495284226307,
  12.056886002068323,
  36.96444846962101,
  5.093960016357795,
  18.04441567031204,
  9.868980294257534,
  9.46435058001086,
  31.757274292257115,
  19.196615304088663,
  8.631329994200543,
  34.36074053080341,
  9.129317747761165,
  117.22781097458429,
  23.88004222958077,
  66.94745033822842,
  62.418392096983155,
  89.713997951772,
  8.110629623742602,
  8.891779276896553,
  12.531194439613442,
  50.40460805100771,
  6.377755438877668,
  5.869703465353856,
  25.11338005839204,
  49.04382469344176,
  23.64795281772802,
  13.68463032796395,
  46.28466484857514,
  37.939024897687844,
  6.246852639919807,
  10.033307051972733,
  74.66331131568364,
  11.511488308004633,
  7.32007476947525,
  13.42625163175565,
  5.531990223695027,
  24.84348172723731,
  16.632447636569914,
  17.71878989950773,
  101.66880856956575,
  86.82218149816721,
  9.228509312468935,
  13.762465682097593,
  23.44731642479362,
  16.72607089545413,
  96.18235886697413,
  20.458702336033078,
  53.9518053295619,
  14.387020633577112,
  6.056595565568376,
  63.106016893706645,
  20.124923122470115,
  11.365209554661718,
  15.958519746009834,
  21.18650048729981,
  53.994924523757874,
  13.670763100128966,
  48.86674547228447,
  5.5202463864890685,
  11.428263515551778,
  12.231133545071353,
  14.855269992325178,
  7.1523989251243485,
  29.945779364449812,
  8.815051270283185,
  9.131651154350122,
  53.619234609033604,
  20.089581766054273,
  35.1084501804067,
  26.645483296723526,
  18.641497217540568,
  11.719714456005262,
  39.168555244382844,
  18.404562269875093,
  45.643598068679694,
  52.62848238083367,
  6.569409511812483,
  83.30804954363931,
  12.560965421428072,
  64.57265826941412,
  8.445094843982634,
  23.88593932566581,
  29.78474207562683,
  22.23958623775078,
  68.85672265996446,
  21.100583907746593,
  7.463009854240751,
  46.65218794577004,
  46.732716572522136,
  11.038635227255199,
  8.25450997248873,
  12.140265554048575,
  21.98936368079805,
  10.446862191542397,
  42.24597055728413,
  46.57372591017061,
  48.892189662432386,
  44.837132741767455,
  17.361764053152335,
  61.688302015305545,
  124.10761975758899,
  11.669386398708358,
  27.54913328709737,
  55.70584236496167,
  66.4199724470653,
  87.75500801457731,
  5.244353046821316,
  22.66964784996362,
  10.42351224774631,
  6.57449033124626,
  52.7083450272185,
  58.29240946025084,
  34.77760723071012,
  27.861229128801767,
  43.43814029159615,
  14.980911024311473,
  24.07002047912707,
  35.33751518106618,
  18.594922548969453,
  8.041982485014458,
  32.58483943528315,
  18.354334321295863,
  5.439502008623398,
  12.763533415425828,
  61.84200604461307,
  15.875086816139063,
  49.00645403853277,
  43.885532284311026,
  40.48120151406326,
  41.569160663247075,
  106.47733878801806,
  12.581124397055166,
  40.37883036038274,
  8.528021006113699,
  73.87866146717141,
  20.234160737645844,
  48.65459690007284,
  36.27974705913112,
  35.146144209297574,
  23.576169717049943,
  93.92833141107296,
  110.13019110780985,
  10.276086447866568,
  36.359942146684325,
  94.39503576481782,
  44.90194284284223,
  11.773600773627185,
  53.970359948196105,
  20.715337687710534,
  10.577586442819772,
  12.675493344099792,
  36.67278320746289,
  23.029227631042673,
  7.7890156688251855,
  11.207829211584166,
  51.67070047330138,
  11.275694009139578,
  13.699336446002183,
  97.75578101545541,
  79.77856896348304,
  62.752327222176596,
  5.967535234416828,
  61.25052499293868,
  95.08009346485636,
  32.40443340434527,
  30.148643388427168,
  78.87115081346128,
  80.5663543464681,
  22.207109785200092,
  69.09184829663022,
  45.48309092705827,
  58.2655015539358,
  10.53996369117431,
  43.8132562386279,
  10.921841773616052,
  7.422458012006562,
  42.57591975336316,
  18.95011594692333,
  5.357955055404771,
  5.2118884502715,
  15.837800236525451,
  5.970903283444817,
  7.798474027635349,
  76.51240651924736,
  93.45100620326266,
  8.717534587361627,
  66.09563975902847,
  14.389080036454313,
  31.4658423036253,
  74.88653866554542,
  7.614588694368779,
  11.21989388384389,
  27.735248649592094,
  161.60081940006924,
  12.348311530676838,
  50.76742218587892,
  18.881097342543956,
  49.04092354548018,
  16.04906988402631,
  84.97719162377568,
  19.8447854842104,
  78.15361462188072,
  6.103417759986628,
  81.91020646644706,
  5.4395423154191285,
  92.65161558331395,
  12.344380905236491,
  24.127729974204144,
  25.635362966815663,
  102.39576287523934,
  7.969018851357156,
  37.673601471705204,
  14.399954299346993,
  12.69101593744042,
  8.456149883709788,
  30.061762591450925,
  22.438162829354194,
  22.166870407352423,
  5.286689924842319,
  12.567641458178361,
  44.477254519674794,
  100.72823798000206,
  56.69036628793747,
  31.47589638684189,
  95.04116994093691,
  6.8808799207143245,
  33.319506416587465,
  54.44927931357917,
  86.43523394554452,
  13.707863232911313,
  18.664038328886093,
  22.156497356258566,
  10.324155402528548,
  24.62903076150491,
  75.50611495086065,
  8.017925733005665,
  37.82195631127801,
  48.21816984347165,
  13.394229764920512,
  54.31714708624602,
  5.914233142038375,
  75.14155181450522,
  44.363799223998505,
  78.27185710756801,
  68.55324754514496,
  56.4569999741629,
  14.06704395842513,
  104.37282109413499,
  7.365710883477839,
  52.099138141760946,
  66.7019942967429,
  12.50917755443809,
  14.171503570976476,
  41.93333935915177,
  7.571118038820552,
  74.61742913021983,
  36.484361138090044,
  67.50143673124464,
  38.109825929143256,
  25.83689764492063,
  31.698932785101853,
  21.951563110472097,
  8.48320478303177,
  14.351347810796604,
  57.944134262677906,
  8.795795829181822,
  19.078197990837733,
  70.72087851429134,
  72.67335195832541,
  10.146560146420454,
  10.010736882749422,
  15.154534894875791,
  5.784665754137096,
  8.647101420785873,
  13.189429182708864,
  85.1914420480371,
  24.20276309054764,
  58.51662984341288,
  54.09823633853753,
  7.357518749699318,
  154.5994403138975,
  112.09822126368627,
  90.3449321537317,
  52.79390472716291,
  97.63998094825556,
  53.10664886042774,
  59.56529897939595,
  14.463368339098967,
  21.217964316379547,
  17.560036408981954,
  25.43218837443213,
  12.956419025104399,
  69.92293316839968,
  21.18836691926231,
  89.03662496282159,
  84.2624562929496,
  30.329731263669274,
  8.111720273192924,
  52.697143726889195,
  19.5728815807543,
  5.368661863101607,
  23.552729876793784,
  10.25828616207523,
  121.53948364376112,
  12.169911706533417,
  28.68105472687548,
  64.85550434864133,
  99.1289350723663,
  5.459697228130143,
  22.524406713202048,
  12.868435703188618,
  5.300866189083641,
  18.47038471509701,
  15.44640507687709,
  38.006474630440735,
  55.37007708032992,
  69.38031451306811,
  104.32081057331399,
  18.484237122677214,
  13.60786834484762,
  33.708126799941965,
  68.33681490750845,
  7.280548338637993,
  86.70172751316309,
  10.64680772864189,
  27.031707132158914,
  68.35364689126553,
  23.482904119406193,
  51.79246828889838,
  90.43418569215288,
  14.072000964791222,
  19.222315078905915,
  15.997246669747001,
  39.86551596714344,
  8.737967308537465,
  74.25128085033307,
  38.411487026622275,
  25.894847151300834,
  10.45066461320118,
  25.7153325261201,
  23.564721682193614,
  85.88246142545508,
  7.604925632739414,
  100.58994491909273,
  37.17223033046549,
  8.37343003838811,
  13.680164701899194,
  10.58266232135698,
  71.69298195527405,
  7.802856639286231,
  8.737463761616787,
  29.098124851852685,
  23.775414121476054,
  7.651012353621018,
  8.890847358518547,
  32.03632621788909,
  21.636327128478264,
  8.562572172326448,
  14.292323155782523,
  179.09963225213167,
  25.51660099145204,
  9.873706775438414,
  11.143742422182248,
  15.555773695632261,
  7.803666912091468,
  52.42633714133913,
  6.215522833100058,
  33.606964728774,
  53.55659272703391,
  26.115242296267386,
  16.58335736233792,
  18.516168466978662,
  5.15712772512672,
  149.1993192956743,
  5.574517924531046,
  17.719308076625808,
  5.068573459091698,
  6.235369071745583,
  63.71740831065201,
  11.91352554143517,
  18.592381504065234,
  12.375910578030899,
  6.573294986089796,
  66.7136751170274,
  67.0923975622688,
  52.79552063960911,
  6.485152210007509,
  46.78500288189307,
  82.71243685345691,
  87.06447886686824,
  64.89425994435689,
  43.13168791929552,
  26.56748926116468,
  8.393854397249388,
  49.207701146966556,
  56.921950597157874,
  16.67508223343848,
  37.57729418088006,
  51.81532939056399,
  18.116786821205203,
  40.22620339230672,
  65.51638754728096,
  52.03536578563601,
  38.2601483375102,
  65.11165661669392,
  43.093051170057265,
  13.306043094894493,
  60.24845454067124,
  16.528641619893694,
  18.5327763465522,
  59.958170029636875,
  22.612557820296434,
  155.73346291116476,
  30.3735255118774,
  59.96262945214174,
  31.535905124922,
  38.68560954563161,
  14.764787967723235,
  7.245926757652913,
  56.83696750384936,
  72.53909030676476,
  5.636686330138056,
  88.85512315438457,
  9.437893142671896,
  17.986414272722744,
  15.625745651133569,
  13.837343853130612,
  43.6299755980024,
  32.80278790453314,
  72.47296398727156,
  6.568225231767827,
  21.216116867491458,
  29.262908047044018,
  20.54500861934475,
  76.56399214745383,
  33.085273004996786,
  14.72658996558548,
  13.627940950031897,
  7.6607609599042785,
  26.62551778765998,
  7.520295060575047,
  40.846337415298514,
  29.348201340078624,
  39.399234079325254,
  5.220655830036413,
  17.563584587950153,
  10.319827375794553,
  44.540181815141615,
  26.75135892790101,
  76.38484571481999,
  111.51003721539209,
  25.15775813006235,
  46.60271469136169,
  6.292049813324967,
  11.310926576386118,
  7.001780516777298,
  38.12315314903549,
  17.4054661503176,
  12.25610400236559,
  26.985929587955734,
  26.967149062386014,
  26.467067062936167,
  57.9165529972569,
  118.24912053627834,
  36.83253852962311,
  60.53217426611244,
  76.2737647779216,
  14.170399127554278,
  11.594577411171024,
  52.16571510295643,
  12.103767629495865,
  23.069945574191767,
  49.63338562975039,
  49.5523076493133,
  89.01178389286856,
  22.67166835130313,
  7.839726518824226,
  57.1118312533744,
  75.34791419715009,
  85.33892221899251,
  144.51283809724688,
  10.53348406633882,
  16.461920838299044,
  50.50848632700715,
  19.4636071966355,
  27.038312597320893,
  49.92811314925688,
  18.957285036613165,
  40.25011600042133,
  17.322812104350938,
  54.603858519401555,
  7.09491677559793,
  9.122121933463593,
  16.16412182591384,
  51.99992083742714,
  26.950967782809023,
  86.52373229289358,
  33.892019762561084,
  47.01029942210158,
  12.593596705558122,
  33.99670429087301,
  16.600925685201396,
  5.941569697398338,
  19.482840890522063,
  29.49339942224315,
  48.10241460078539,
  55.27778232398493,
  50.32967258931638,
  14.508546045884918,
  6.6100682240160396,
  57.36551291173326,
  45.88345572731563,
  121.78162869079436,
  109.5349290508787,
  9.845401303010297,
  34.555934252304176,
  30.559233380423933,
  70.1508862725623,
  45.96969110355386,
  74.28161159963048,
  51.27300177361708,
  40.48941158014621,
  38.38907878931494,
  5.6758371009223705,
  10.849354652218716,
  56.6887680232376,
  11.209311409515442,
  8.45639133553855,
  26.113439267075854,
  8.809494860241168,
  47.03638418323073,
  123.7384891088364,
  25.628537859316637,
  7.108752720629267,
  61.455274558282504,
  22.599387384804913,
  9.376331195371716,
  16.07357275564786,
  103.18935906270457,
  27.352820580716845,
  42.663365927324676,
  5.028520796135729,
  75.62899608692202,
  82.2923069951609,
  82.83842848163944,
  41.735952451458644,
  46.618310678699096,
  17.477486194079695,
  20.941527131348614,
  70.83411291421373,
  40.20438567328057,
  25.685835946136734,
  29.076992849470003,
  80.6602497132051,
  23.923232378604524,
  8.468155935827244,
  25.791327209431458,
  18.23388955203419,
  79.07715128724456,
  67.56327147300962,
  74.48744295894369,
  29.7671682874434,
  19.454498938874714,
  38.5908365706032,
  7.077980152724184,
  11.253324065509084,
  7.599312417979823,
  166.10285932658195,
  5.4878340637743666,
  21.317889948165046,
  40.664800083155995,
  13.369185056685886,
  34.749493255114956,
  7.169425308877603,
  58.98968822954186,
  32.02587207652734,
  27.84038655125105,
  28.045582746906483,
  18.782994006841058,
  48.89017311039741,
  12.422914203918152,
  95.22430102061264,
  11.333559046004927,
  121.13533022228016,
  136.6909796764885,
  17.497134449089206,
  40.87545337085154,
  8.806523838303413,
  129.35479112607516,
  11.430300279194626,
  52.82947800380833,
  62.87695773604151,
  109.5094647961416,
  30.797915610121066,
  5.830640701792975,
  94.12590995167217,
  59.580756025275974,
  6.323970600226943,
  13.055054729460938,
  52.13157660759138,
  10.238306110563807,
  59.56435121802811,
  8.27507582073938,
  96.44212981316093,
  42.84995040303445,
  54.051967731586146,
  43.5904874498961,
  71.81721097638214,
  17.91807743804334,
  7.998799326033534,
  6.894029740401149,
  19.703195602286655,
  78.9811858317742,
  16.233794686595104,
  5.210786730159755,
  105.8583379180981,
  50.23712294672602,
  17.76368735217552,
  11.13723135130147,
  40.54849999335242,
  16.35953390503806,
  36.26776887348779,
  37.80062562091355,
  54.06352848531236,
  13.938559787953539,
  74.83798066647745,
  5.84177162725784,
  12.903939780811612,
  40.426544613383925,
  10.712893284176777,
  43.72150561871368,
  81.7395868443597,
  55.756968550098925,
  10.25308206492711,
  68.90553828612741,
  6.69366602655343,
  101.89820586469624,
  55.82793512690492,
  6.430147894030381,
  52.73104228038718,
  110.17677919549138,
  28.177083212153146,
  7.3707251609953115,
  114.09925955949828,
  34.41747595561149,
  13.734995448442989,
  50.87683837513549,
  6.321480445410954,
  23.285106465235245,
  7.252885139533252,
  5.3718731235666555,
  69.32725919822472,
  20.075165999100925,
  8.06941573070676,
  69.46099380668052,
  7.088668653702575,
  33.26090897378749,
  110.51143614312323,
  40.992179815633975,
  21.594991595763133,
  66.0814281020304,
  7.968136481098234,
  34.70511440998546,
  8.931249210784584,
  5.993957637478937,
  41.4468190135731,
  12.797991385809436,
  57.28891638311647,
  18.08141912461611,
  24.770409495702484,
  15.16957781478261,
  53.21915317533946,
  10.141184765360709,
  89.06904527242563,
  45.862021400268205,
  5.032192956028386,
  24.962591724637043,
  73.8293820912239,
  5.694134826325948,
  77.42695384518858,
  42.68910277606189,
  8.833454092524857,
  6.2681477876898875,
  79.91251724722628,
  18.972917324189034,
  28.526153703748893,
  9.3055810988046,
  41.98151225693536,
  65.78757153463621,
  54.29848392474017,
  19.97744790083423,
  28.292770852803915,
  46.42233239857681,
  11.555105214284167,
  5.082750388289468,
  16.60913526499374,
  16.697117913863245,
  27.896644452384802,
  8.026987397015139,
  15.811390491283403,
  16.515586786693884,
  15.769901212375366,
  49.18284903186135,
  7.056520222584476,
  9.43834337188554,
  119.75927721797441,
  72.59985500680475,
  55.772560494391776,
  22.715193064677372,
  42.19923034797787,
  9.37895700939876,
  52.5662729895543,
  21.398817743617137,
  42.19373054546462,
  8.229971598206351,
  30.802762321507565,
  19.26000956035976,
  22.861764126215785,
  24.063706822002757,
  197.66018165989212,
  169.52441350079096,
  8.367782113797343,
  32.37493949980079,
  20.575105433765643,
  15.998108989043756,
  26.750829064897125,
  6.537249181790593,
  7.014902728432015,
  46.001455400329824,
  11.010924978672842,
  28.7229539939941,
  15.28722713614902,
  13.110218195766178,
  17.47507538325394,
  22.129890770158944,
  8.527684480676557,
  5.644881814581819,
  88.18846779318626,
  9.566752978290543,
  31.09778248045299,
  15.283120003505694,
  14.356510411948406,
  17.461105543001246,
  60.66499934829895,
  23.514648865636417,
  67.3493692385637,
  33.86331890809293,
  13.761108642069958,
  81.82371166939144,
  20.40828851903425,
  55.68328564478444,
  24.20627794600627,
  20.020511063353684,
  65.52952187558482,
  14.945057772114781,
  14.824129544096703,
  28.443005047653624,
  122.14569514213952,
  17.75580482827548,
  57.039556101921946,
  99.12493247342194,
  61.97520775468695,
  23.48923850503083,
  79.10553465921527,
  67.66134231125625,
  9.44044397665249,
  45.40103788602171,
  70.36690242866162,
  68.9305496115569,
  24.286663833168774,
  22.54555523320889,
  35.0473150010316,
  6.630858229340505,
  5.210680256476463,
  62.52670657598111,
  61.08820330924141,
  47.7331332630367,
  30.106385759227443,
  27.3115352514289,
  43.11988312485249,
  82.60728700804387,
  48.772173097528125,
  10.017782811713355,
  76.63098377847234,
  23.53026475651968,
  158.52570456439074,
  33.369109328416776,
  59.00849178973047,
  28.246271024149245,
  8.212709452721878,
  65.82187288229271,
  11.124081454724564,
  18.21241522794235,
  22.303267967796046,
  141.1392912611424,
  74.44935915523484,
  92.2281277546843,
  26.48342797159338,
  51.146543233939255,
  36.52813329994525,
  25.17614616735694,
  31.687265419693958,
  32.82715752822653,
  22.583202448410578,
  14.090583783751537,
  102.32449857942156,
  12.701408763585382,
  6.542570952636153,
  77.92110984225337,
  72.33670708905647,
  6.315920642506715,
  21.669443090736095,
  100.31852683254579,
  6.884671195625055,
  99.22870644521794,
  10.89458768684488,
  13.136732506867121,
  34.300906150617095,
  42.23210585120889,
  28.705578742877922,
  39.921540464263195,
  39.71150944975019,
  7.5800477376668915,
  60.55119776657464,
  13.348429522347523,
  12.81025262701794,
  19.92324049940388,
  139.7525159998965,
  7.493660300031235,
  63.477186652000164,
  21.312093421296826,
  57.06444993307549,
  27.590648185638173,
  13.454514582960241,
  14.130855905340479,
  15.948151821650544,
  12.05530303355914,
  8.80585757982494,
  72.86415988052119,
  41.47128343455314,
  48.62193226827624,
  31.902675026793872,
  53.577204905891875,
  37.43399891144871,
  56.500473219783395,
  89.690169680374,
  10.247861794945216,
  ...])

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)