
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


#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 = 45257
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}'


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


#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'


#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
hit_map(detector,hit_map_fig,RowNo,ClmNo)


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)


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);

([4058395.9473992097,
  4060026.018989019,
  4060087.6590087973,
  4060733.0018701917,
  4067589.718141056,
  4091101.0414350736,
  4093704.9250939516,
  4108451.400876145,
  4206046.550172074,
  4250562.457233741,
  4268299.61218213,
  4272600.0,
  4303651.270342577,
  4331018.440179262,
  4345726.551239113,
  4367951.5625,
  4398028.082776736,
  4398368.124144356,
  4417215.625,
  4417539.795916874,
  4421358.650846948,
  4422241.0915412055,
  4425934.256880797,
  4426133.487400634,
  4427940.131142011,
  4430047.500947794,
  4435465.625,
  4437095.65670832,
  4439602.641088732,
  4439807.8125,
  4440729.327690143,
  4442235.674603774,
  4442953.269861287,
  4444751.264032289,
  4449254.509094926,
  4449818.309263316,
  4450020.673402786,
  4450980.815845174,
  4451927.220701105,
  4452876.0919550145,
  4453281.25,
  4454006.504594448,
  4454280.207902197,
  4461818.24633656,
  4465815.255614255,
  4466109.339370481,
  4466637.102220526,
  4466768.446280342,
  4469067.614614942,
  4473301.5625,
  4473308.385699948,
  4479689.401349567,
  4479903.125,
  4481046.26235373,
  4484370.384726033,
  4486712.131388081,
  4487059.133053035,
  4489202.278805412,
  4489695.870787421,
  4490204.4339052895,
  4490436.135833555,
  4490928.125,
  4491091.231063606,
  4491543.311524892,
  4491563.988257827,
  4491906.163649908,
  4492025.0,
  4492075.578621169,
  4492383.127338748,
  4492433.395410472,
  4493296.156344952,
  4493366.592149457,
  4494129.258568844,
  4494257.773892421,
  4495294.884349112,
  4495362.379707924,
  4495445.3125,
  4495553.405183439,
  4495779.339729513,
  4497276.5625,
  4498067.718884249,
  4499251.128879167,
  4513850.0,
  4524572.663757419,
  4536234.2025497835,
  4537582.684586262,
  4537737.5,
  4538120.003327147,
  4547213.413784645,
  4555812.177359121,
  4563180.772355592,
  4572717.020130007,
  4577495.78719629,
  4592162.262450689,
  4603246.875,
  4701303.705250384,
  4702512.5,
  4716216.368987776,
  4716258.474325922,
  4720676.34261057,
  4721141.53488506,
  4725910.524929119,
  4747087.273021371,
  4760863.335308492,
  4760929.341432927,
  4798973.871418548,
  4800510.996699598,
  4806223.845181185,
  4807534.558118341,
  4811225.129610959,
  4811240.156239418,
  4816432.3946231175,
  4818143.75,
  4819990.218247255,
  4820010.023817134,
  4820102.787859314,
  4821681.8773253625,
  4823638.86729793,
  4824493.258737822,
  4826662.5,
  4827337.166319987,
  4831331.697456205,
  4831928.125,
  4833310.9375,
  4835122.198078526,
  4836485.9375,
  4849453.526052833,
  4849526.782333742,
  4857198.347953565,
  4857525.4342920715,
  4859777.89471848,
  4860456.28132149,
  4875534.670223309,
  4883921.875,
  4898755.950978317,
  4898759.375,
  4908917.1875,
  4911893.75,
  4918037.018939183,
  4918914.203423979,
  4919070.422508975,
  4926413.650696672,
  4928237.4488075785,
  4928244.074924708,
  4929081.666643676,
  4944132.4177856,
  4944312.5,
  4944695.286285937,
  4946395.3125,
  4959439.0625,
  4959473.765413343,
  4959606.484174399,
  4961378.3662916785,
  4967170.39451478,
  4968651.80471379,
  4974020.3125,
  4980759.852182867,
  4984176.374710454,
  4987523.4375,
  4992028.051088325,
  4995196.925274037,
  4999439.430257492,
  5002664.268985251,
  5005512.476145313,
  5006680.457388186,
  5006884.125662349,
  5014713.21562847,
  5015184.895209279,
  5017491.486757728,
  5017515.928752829,
  5017685.792787721,
  5018531.25,
  5022343.577694746,
  5024736.054831024,
  5024830.483063974,
  5026746.875,
  5031640.625,
  5034802.6788636,
  5046621.875,
  5060129.174591148,
  5074484.044804479,
  5092254.497243437,
  5092750.9126552725,
  5095234.234636919,
  5096026.736828672,
  5104025.0,
  5104679.528008149,
  5104971.194070167,
  5105132.070573594,
  5106471.387088759,
  5108382.090211779,
  5112887.5,
  5116884.375,
  5119134.136860472,
  5121005.71926579,
  5121646.332118217,
  5122386.31368521,
  5125648.767580305,
  5128867.946735332,
  5143401.700838805,
  5151529.054444768,
  5156410.465139631,
  5169746.875,
  5170092.069051717,
  5170889.268226771,
  5177165.625,
  5178122.4499936635,
  5181475.725692805,
  5182100.141754304,
  5193355.9955531815,
  5194306.073634473,
  5195430.940267287,
  5211275.86256045,
  5212841.054378083,
  5213587.5,
  5217468.14025839,
  5226081.114607709,
  5227054.473767454,
  5238583.623139606,
  5243090.283596295,
  5246837.5,
  5247640.625,
  5250350.0,
  5253340.043435801,
  5254382.047936612,
  5255326.5625,
  5257967.730709599,
  5257974.343156729,
  5257997.249703917,
  5258237.568074914,
  5259593.876562086,
  5260378.801214833,
  5261129.243137396,
  5267012.678115029,
  5268337.832579469,
  5273141.9841020955,
  5275804.6875,
  5278620.958756022,
  5284608.890727836,
  5285630.970330582,
  5288140.625,
  5289123.952084735,
  5293834.375,
  5294268.205255693,
  5295535.9375,
  5300797.122617697,
  5303709.076442548,
  5305217.032803907,
  5319737.5,
  5327357.8125,
  5341228.184183436,
  5348218.641009532,
  5353105.507852968,
  5355141.708447462,
  5355527.615107827,
  5361517.1875,
  5362053.471681184,
  5364714.0625,
  5381898.4375,
  5388089.60229357,
  5389306.648236087,
  5391079.8691762695,
  5407904.543814511,
  5412802.665638302,
  5414523.413962483,
  5418392.971045173,
  5418960.9375,
  5419519.394620384,
  5422136.4520665,
  5425232.610003391,
  5429916.640101899,
  5431234.4456326915,
  5432475.527991185,
  5437464.0625,
  5437500.059891494,
  5438951.6425110735,
  5442138.493110198,
  5444690.5704559935,
  5446190.662622232,
  5457907.878291463,
  5459924.6855038395,
  5459943.019071572,
  5462848.0370886065,
  5472344.370775469,
  5475849.769519394,
  5478805.010868622,
  5486236.43487121,
  5486262.962065689,
  5492379.6875,
  5494482.198006592,
  5495083.066484467,
  5496264.971202043,
  5503190.948001255,
  5509080.234479965,
  5515071.008910299,
  5518912.329769276,
  5518918.48177157,
  5524315.73795556,
  5539388.570630715,
  5539807.504592904,
  5548754.607377943,
  5558859.375,
  5565993.75,
  5567248.8343074545,
  5573056.9690317465,
  5574256.25,
  5591291.164613225,
  5591417.218759151,
  5592885.3693343485,
  5599668.618833096,
  5604520.247738821,
  5620576.5625,
  5628640.120021684,
  5631542.700563727,
  5636095.751400584,
  5640054.494733911,
  5640888.738888973,
  5644879.129945209,
  5649474.941696839,
  5650738.689310611,
  5652883.666548948,
  5655315.110688368,
  5655923.663989645,
  5704044.936618352,
  5710923.64222242,
  5716568.75,
  5716614.518449269,
  5734501.5625,
  5734827.802443041,
  5736131.325241272,
  5737520.3125,
  5789520.309858899,
  5803591.5252524,
  5807154.6875,
  5812817.1875,
  5813071.881070419,
  5814355.879863644,
  5815514.926726282,
  5816201.074097964,
  5817378.6842024755,
  5817398.420149213,
  5824835.937111971,
  5826279.261918966,
  5826892.759513174,
  5829613.963577448,
  5840489.588257939,
  5843451.5625,
  5849757.337627814,
  5862227.6458532,
  5862240.625,
  5935388.581519152,
  5942456.722358431,
  5950566.838115654,
  5975075.225869957,
  5991885.272389351,
  5993566.180289998,
  6002152.288535581,
  6006070.3125,
  6046249.9974734895,
  6049288.381388192,
  6050755.339188173,
  6052953.127641535,
  6060717.859932163,
  6061163.192541039,
  6067421.411815609,
  6072566.803226648,
  6078982.285301995,
  6099967.168127066,
  6110949.634173989,
  6113464.39287403,
  6116445.3125,
  6130991.970899931,
  6146787.042551275,
  6180510.574770822,
  6197851.774440062,
  6214048.2440621555,
  6338995.68106692,
  6372721.760473173,
  6372727.838545889,
  6418358.533994809,
  6436936.151694923,
  6498440.625,
  6498502.91009094,
  6508317.894019929,
  6513241.625224908,
  6514555.019436423,
  6519856.233249902,
  6730451.785474549,
  6764922.522439551,
  6842744.540604781,
  6849460.72030619,
  6882182.123269204,
  6890481.050721314,
  6905827.07851473,
  6991876.214354682,
  6991899.069833967,
  6996578.125,
  6996630.711245901,
  7013123.525870488,
  7082061.4133147225,
  7172497.743747908,
  7179017.67796788,
  7238484.700227356,
  7259785.9375,
  7259792.696133997,
  7282212.568756678,
  7283937.464443134,
  7289753.125,
  7294455.104201472,
  7294472.172062835,
  7294477.971005014,
  7321491.145029033,
  7325573.898291035,
  7342923.4375,
  7344662.5,
  7393239.0625,
  7396370.163801907,
  7399027.853444232,
  7424586.389465533,
  7429243.674931523,
  7432946.290287535,
  7438821.832992807,
  7439976.164121989,
  7450269.594876429,
  7461450.177434593,
  7462879.003195114,
  7475425.065965847,
  7497679.6875,
  7516080.476551939,
  7516225.1480371645,
  7517240.402573676,
  7521027.892374241,
  7523640.669238933,
  7526004.19804659,
  7531212.5,
  7533050.491446519,
  7539217.721832455,
  7555328.302103541,
  7592120.713684104,
  7598867.1875,
  7617775.0,
  7617790.148944338,
  7672859.375,
  7673026.5625,
  7673254.590215365,
  7704863.791310354,
  7740477.34024542,
  7755738.722770873,
  7757451.5625,
  7770139.400655701,
  7779854.3189676525,
  7801818.75,
  7840888.153697266,
  7884581.180283015,
  7886780.765846308,
  7889679.559106866,
  7908982.8125,
  7922804.32943369,
  7923644.120407755,
  7941045.291317091,
  7963962.5,
  7984470.213588591,
  7984474.171998058,
  7992488.179239468,
  7998009.375,
  7998833.028918152,
  8006901.980478446,
  8032687.778434409,
  8039960.950711479,
  8042141.711527116,
  8048275.0,
  8050297.76102358,
  8051147.557781336,
  8051728.2154932795,
  8054710.301153258,
  8063893.3671263,
  8068631.541235426,
  8075579.6875,
  8109527.573513529,
  8115603.125,
  8115652.740415538,
  8117923.4375,
  8118739.540334585,
  8127108.4908996085,
  8132765.625,
  8143703.125,
  8149941.397135564,
  8153465.301149871,
  8153537.5,
  8156887.5,
  8162732.05870285,
  8167398.6786036175,
  8184947.527751315,
  8185997.929161987,
  8237051.372719883,
  8261458.579295403,
  8285630.395117875,
  8334046.853252081,
  8427655.620852761,
  8428698.4375,
  8441840.795805376,
  8449584.415679984,
  8477699.734765328,
  8481186.265994716,
  8487589.82746625,
  8488104.6875,
  8491911.379313339,
  8495791.225316914,
  8497124.367557218,
  8506632.8125,
  8507527.940866072,
  8513978.194333857,
  8514866.678597996,
  8517544.009728137,
  8522112.540685691,
  8529259.66318902,
  8529327.632203922,
  8531224.612780858,
  8532168.680644542,
  8532173.538163513,
  8534878.125,
  8573402.545380825,
  8574995.163159683,
  8577371.854869675,
  8616933.98474675,
  8650539.667074053,
  8658889.110917853,
  8660293.75,
  8662245.256791381,
  8663793.853981638,
  8752942.177751748,
  8790140.961818138,
  8795505.325474916,
  8797538.159634426,
  8813296.875,
  8817162.5,
  8845146.698409433,
  8892307.357255243,
  8919092.586869318,
  8919095.088138876,
  8920258.453649402,
  8949215.105601043,
  8950671.875,
  8954979.32015544,
  8981335.9375,
  8981336.741473338,
  8982788.521393308,
  8987329.284782792,
  8996218.148732843,
  9006778.954366,
  9006975.0,
  9009145.675894793,
  9021881.800909799,
  9023547.837282006,
  9026324.23747589,
  9027238.509823237,
  9042662.433696637,
  9072085.9375,
  9086088.943594897,
  9086111.14991886,
  9086771.875,
  9088536.28164125,
  9088954.366158582,
  9107896.242131144,
  9113451.5625,
  9119548.547419231,
  9134041.460460778,
  9134643.267969096,
  9134817.355963118,
  9158124.590876998,
  9159253.877360087,
  9179017.1875,
  9188046.942759633,
  9193668.491663987,
  9202620.087078568,
  9209118.686614357,
  9213317.888568826,
  9216685.188703442,
  9218238.577670297,
  9230104.053486507,
  9230763.660458002,
  9240091.964270063,
  9241722.340206167,
  9255553.125,
  9255576.913420584,
  9276212.149131704,
  9288080.097556809,
  9298565.105099294,
  9300202.419295441,
  9301863.763519485,
  9310560.9375,
  9317386.540796056,
  9324514.603907267,
  9355432.74129726,
  9360840.601469038,
  9361650.901400553,
  9361846.079117393,
  9363891.797286503,
  9374369.437904177,
  9380473.116313387,
  9381325.539576715,
  9396615.535032716,
  9396800.529720044,
  9403862.5,
  9424998.650251927,
  9432482.106387945,
  9434217.935800845,
  9436592.382370334,
  9467616.132655915,
  9473691.256190669,
  9473754.564808654,
  9496006.25,
  9515107.496723024,
  9536596.400824582,
  9550303.394353362,
  9557407.29599924,
  9563343.75,
  9563419.541933797,
  9571153.125,
  9577278.763372326,
  9603029.278504146,
  9607867.79436787,
  9609583.16883727,
  9610315.119810415,
  9633493.75,
  9657723.4375,
  9660248.4375,
  9671674.593290605,
  9676827.343132004,
  9684862.341701461,
  9685476.51390591,
  9707676.394281473,
  9707676.5625,
  9707735.59098163,
  9707747.642093796,
  9708068.671572866,
  9712525.907476317,
  9716228.319865068,
  9724899.883324191,
  9727131.25,
  9734382.8125,
  9752481.25,
  9756060.159241755,
  9770177.513187397,
  9779153.125,
  9795559.375,
  9795641.966497269,
  9795930.35623142,
  9796336.608937614,
  9798030.470066678,
  9799232.076259887,
  9829035.09763328,
  9842002.210838811,
  9849100.575223634,
  9861709.296515854,
  9862805.20328753,
  9862883.484386506,
  9870877.679320175,
  9873694.400472168,
  9893684.375,
  9897528.39718787,
  9928007.946834138,
  9959830.601031788,
  9985282.18274011,
  10017080.548214613,
  10018134.358285338,
  10018558.426383989,
  10037154.6875,
  10038523.087368159,
  10083540.257047188,
  10097459.375,
  10116669.803720389,
  10159026.476266287,
  10184578.216913655,
  10211260.571723709,
  10211319.44342461,
  10218032.29326432,
  10227009.375,
  10259999.43897688,
  10261092.13960186,
  10282793.75,
  10317592.918417007,
  10336160.229080983,
  10350645.676323883,
  10405544.857966945,
  10405562.483878668,
  10424861.295108233,
  10446723.4375,
  10446726.008566998,
  10453998.758411126,
  10454923.99069876,
  10463337.5,
  10467536.521622196,
  10571400.632009886,
  10582924.340001768,
  10604026.449834472,
  10618337.9348853,
  10621013.735479012,
  10649048.4375,
  10680232.094289372,
  10711739.820933042,
  10711752.9742811,
  10737873.374221817,
  10762556.25,
  10765828.125,
  10765837.335701901,
  10772287.5,
  10798870.563361138,
  10811082.617697366,
  10818604.71415179,
  10845964.04320997,
  10875756.220624799,
  10887832.624102127,
  10937545.3125,
  10946828.520357814,
  10989099.658797156,
  10990577.181212705,
  11013657.64090204,
  11013831.78662705,
  11016112.610822449,
  11017002.543135572,
  11017373.97872498,
  11043627.232827127,
  11059843.221275238,
  11066099.21199593,
  11071705.935710201,
  11074018.730765011,
  11086304.6875,
  11086306.215881925,
  11133465.172426222,
  11135562.562212083,
  11157289.599109361,
  11229967.637518024,
  11270908.297544803,
  11317002.405788455,
  11318253.125,
  11337578.125,
  11340660.23450796,
  11399590.625,
  11400750.250400776,
  11439139.631981844,
  11460066.885313751,
  11467634.738311373,
  11481327.218473986,
  11491445.3125,
  11526957.612984862,
  11591705.598503174,
  11600530.571673121,
  11619666.75273813,
  11659485.9601625,
  11660989.3163692,
  11661050.95041705,
  11671798.04813325,
  11693107.327246029,
  11699438.57279432,
  11711719.810300613,
  11718297.98745786,
  11728101.029226461,
  11735106.018063491,
  11757080.751146285,
  11779938.047465732,
  11780056.395400513,
  11787828.357866848,
  11790910.9375,
  11801426.389791984,
  11808574.170653634,
  11818832.680734592,
  11837912.199784853,
  11845718.151443204,
  11845818.875983926,
  11856377.87929889,
  11868801.5625,
  11887070.464099953,
  11896754.905244475,
  11897069.821081903,
  11899185.831860572,
  11915875.6354404,
  11918398.748800043,
  11954246.73526201,
  11958634.375,
  11960878.217760354,
  11961489.119627262,
  11962796.62471885,
  11972148.069371527,
  12016539.291489484,
  12046486.096399067,
  12069386.755715907,
  12095867.1875,
  12103562.5,
  12114941.676699314,
  12120543.61219302,
  12124435.689926757,
  12141985.698939987,
  12158142.595422488,
  12158314.0625,
  12159916.3146793,
  12170971.123101493,
  12171155.854858952,
  12175838.811023612,
  12181418.875251355,
  12196857.151375368,
  12208893.412692524,
  12218649.438989291,
  12220844.578640537,
  12229719.584925678,
  12231284.67237216,
  12231288.249366729,
  12246252.21761978,
  12250918.75,
  12252832.8125,
  12262679.021256542,
  12268663.308686862,
  12294291.639968183,
  12295004.09969554,
  12322506.624176271,
  12340094.691654261,
  12348337.678343313,
  12349847.417814808,
  12350737.163806148,
  12355325.851079108,
  12364399.349654198,
  12369082.155875335,
  12380876.74153315,
  12383017.285163369,
  12390791.130299026,
  12391465.538242511,
  12394967.00101242,
  12399858.694039267,
  12405582.67726503,
  12409104.6875,
  12413253.250435356,
  12415035.9375,
  12415989.212607004,
  12419561.829123696,
  12426664.845572049,
  12426689.1193421,
  12426863.704804556,
  12474839.692704622,
  12477600.182105903,
  12480788.794858325,
  12484208.854057485,
  12496531.25,
  12502364.20852105,
  12508920.3125,
  12516202.851191733,
  12519187.579257362,
  12532157.692077484,
  12532220.952973774,
  12542210.826877464,
  12544696.875,
  12544736.925888687,
  12553978.12572046,
  12563290.625,
  12566390.057727331,
  12570124.787743438,
  12576524.683683522,
  12581366.606156906,
  12600820.031952415,
  12610365.501751434,
  12623502.112985112,
  12624708.425451366,
  12642590.360282928,
  12653437.201314231,
  12664803.733245693,
  12692806.814609583,
  12697897.38625491,
  12749842.055068506,
  12752396.389417397,
  12756575.031000502,
  12770913.516089551,
  12783490.625,
  12786498.4375,
  12801509.730129343,
  12929907.8125,
  12940611.806312468,
  12991198.221709438,
  12994160.955276368,
  13000919.803578135,
  13008142.137823468,
  13012584.375,
  13016314.02446274,
  13024631.224367807,
  13042339.0625,
  13055736.498408454,
  13057926.375063015,
  13071954.449952472,
  13086687.062567644,
  13106178.262220357,
  13106250.481729329,
  13113127.520714475,
  13113940.625,
  13117201.32098846,
  13136795.41942934,
  13138259.375,
  13296039.520626068,
  13302370.310512222,
  13389365.279868992,
  13389419.187110895,
  13389584.375,
  13389636.784429995,
  13389641.660245012,
  13389715.360373778,
  13389850.945397085,
  13389905.423725294,
  13390073.33661942,
  13390360.11410648,
  13390398.488365114,
  13390484.218031,
  13390523.4375,
  13390542.447887743,
  13390568.75,
  13390579.211919654,
  13390584.176648885,
  13390602.41223064,
  13390606.25,
  13390654.6331535,
  13390672.26680381,
  13390704.6875,
  13390707.201783177,
  13390739.064351501,
  13390741.58261399,
  13390743.823232416,
  13390773.390633427,
  13390793.75,
  13390829.6875,
  13390834.262100589,
  13390842.785015289,
  13390844.951030638,
  13390845.430053363,
  13390858.8513167,
  13390879.817112098,
  13390880.980367037,
  13390883.626877155,
  13390885.30307264,
  13390895.3125,
  13390905.937956551,
  13390928.355445106,
  13390929.871898992,
  13390931.189320339,
  13390936.017930975,
  13390944.677398736,
  13390947.08706832,
  13390956.676150808,
  13390960.305471532,
  13390982.350676358,
  13390990.91010586,
  13391014.541610824,
  13391019.585284427,
  13391025.453728942,
  13391028.79448513,
  13391036.959730806,
  13391037.28764785,
  13391064.905595476,
  13391067.1875,
  13391070.377827039,
  13391070.72219548,
  13391089.0625,
  13391103.125,
  13391105.66173189,
  13391112.095140403,
  13391115.870724434,
  13391130.678845419,
  13391132.739629205,
  13391157.168293567,
  13391157.200799927,
  13391164.208058914,
  13391170.233093217,
  13391177.749614453,
  13391177.911553161,
  13391180.516190207,
  13391187.70756402,
  13391201.22212618,
  13391202.981287066,
  13391215.625,
  13391222.685367629,
  13391229.466047794,
  13391235.002824588,
  13391241.07679285,
  13391242.900718246,
  13391254.295208003,
  13391279.6875,
  13391281.047642402,
  13391284.217609024,
  13391285.092327634,
  13391296.586656045,
  13391299.91834046,
  13391305.405653704,
  13391310.9375,
  13391311.4119569,
  13391316.658387128,
  13391321.120283596,
  13391336.119462902,
  13391337.002952922,
  13391339.0625,
  13391342.1875,
  13391350.0,
  13391352.2561409,
  13391362.773572285,
  13391368.151638698,
  13391376.313080756,
  ...],
 [18.076898721089222,
  5.50727114120692,
  5.622901873922908,
  15.716013005300324,
  73.02540034762401,
  29.48626148229035,
  75.97330044275922,
  14.359294863766001,
  59.85080910543458,
  14.780971993628384,
  16.420999776100746,
  63.588562035782445,
  23.85143932008154,
  63.84996808710622,
  6.761260500272808,
  62.65705311478518,
  23.870510698409873,
  34.44249175978287,
  70.61716671687594,
  10.039455047117219,
  109.50343775166861,
  25.67211331273575,
  9.233484622832423,
  17.504475639376913,
  13.342899092765814,
  32.86726025649426,
  53.30305197778557,
  6.311688667724713,
  18.899747836576804,
  42.06728637698503,
  23.015679531374058,
  31.846436339262453,
  21.90111065897707,
  133.57996330673993,
  81.77591423936033,
  33.0499435365077,
  120.05389012028945,
  17.978985299022167,
  13.503573668041891,
  57.38334719139384,
  58.40003638057999,
  29.110744251570825,
  8.582382482023654,
  10.422228330126794,
  13.698592291984065,
  76.44624445143987,
  16.37286341042747,
  23.703344173371978,
  8.526140663141899,
  69.22437827483722,
  17.693145544237733,
  16.41214529254383,
  82.34991856800713,
  10.288441249006329,
  19.976644926374036,
  74.46696341059366,
  10.769476391797873,
  61.890541739208885,
  77.94466738595311,
  62.54602541868663,
  25.185642085458078,
  49.957061139188546,
  8.635373199428733,
  8.98626555480635,
  11.013611097853092,
  8.241435780707228,
  41.38624730501175,
  12.171077857505564,
  16.294640063410935,
  67.16287006864164,
  47.019235973406964,
  20.59189096566672,
  22.232607770776326,
  74.54736299281623,
  7.4553910100645115,
  14.631210830987136,
  119.24371491324393,
  23.92796287588991,
  13.763243061673272,
  58.62474695733647,
  6.145158477104013,
  8.98982521759861,
  45.05505253156874,
  25.277448291374235,
  16.566422226283414,
  26.229566750407315,
  83.94526906408998,
  58.34172955695877,
  70.0346087545195,
  13.839536708390918,
  26.568269319542857,
  58.71919539238401,
  17.123010969049236,
  14.107304072088265,
  51.369054295905315,
  9.875479313950237,
  102.40583567001104,
  7.896479377913899,
  5.311977931652329,
  10.800561915960545,
  8.83447798182812,
  7.0170642311377485,
  5.334203652886394,
  16.112518981799944,
  5.330201447582425,
  16.90098904478785,
  5.818373553404986,
  100.03440442112942,
  8.385846879544347,
  15.459662707997085,
  27.01222128652548,
  31.59256999919026,
  41.60949215360659,
  19.244490548456422,
  12.319875160178334,
  23.287637530409913,
  9.92486383698255,
  25.188527461014257,
  51.87800871513513,
  71.68745296740163,
  31.33286223723881,
  16.97383740374993,
  65.01306727089398,
  61.87642727912856,
  58.314519296539395,
  34.49478647399486,
  16.727579498229822,
  5.0452681011021285,
  26.871055650333094,
  18.82578246219527,
  24.684113401585506,
  7.614605551662513,
  16.200328941993675,
  47.9813458265428,
  8.134535930543644,
  80.86723142674997,
  28.874800497406767,
  39.554791596585815,
  5.325703360518529,
  53.48000305620607,
  21.062576786087646,
  55.752596173261686,
  27.551028903103255,
  122.45188875781241,
  36.16764711791174,
  78.13219661751448,
  44.55823460372638,
  11.086978264855412,
  63.762600267344425,
  35.99321029431933,
  7.210403164407992,
  72.75757449668892,
  7.692904120959393,
  7.143179039322057,
  7.186611950061788,
  58.89249308968343,
  90.41773516463229,
  31.24139651299254,
  77.95736307456147,
  9.269678959961503,
  15.13665656395754,
  5.972084959303349,
  25.62163549230851,
  28.061295226044994,
  8.740489858421746,
  44.60957292094044,
  23.886479891099718,
  12.051423242249324,
  34.10054284258352,
  16.241155492213206,
  32.056927672990014,
  63.655849783674576,
  6.729587887492263,
  18.336215153590217,
  5.87528756576145,
  36.5120992346873,
  56.68783637739028,
  22.04779028062435,
  32.16682877366449,
  21.365286879448984,
  6.699328672433609,
  9.175550011897458,
  20.1181149091368,
  10.915176168463566,
  22.022455222036065,
  45.637478915393515,
  84.54188036366187,
  18.211885419577566,
  19.377364634940214,
  61.60349070491236,
  33.11731876001318,
  60.925414655506486,
  100.6286392162271,
  47.037289702958454,
  30.14081384162291,
  114.5071286024957,
  29.34120972947096,
  16.368963154944932,
  10.068056536320867,
  26.690575337048514,
  6.964423303605153,
  53.14706649121055,
  35.276730064791906,
  9.233217184319106,
  9.511633353880397,
  33.993024254293786,
  61.56095729496239,
  18.683481527119753,
  13.315971346517882,
  24.350599120032797,
  56.743060525297025,
  11.661035408747022,
  98.28969176973031,
  9.722924299480121,
  30.326050259703884,
  20.46403166697353,
  19.26078551428087,
  56.39733331010342,
  19.301585401541058,
  62.283113392040526,
  68.36268872208923,
  81.28018845118726,
  61.64846928973128,
  13.108077226201807,
  7.919803749557075,
  61.93125647197509,
  9.837230606037823,
  12.91607886616985,
  16.59197376822173,
  15.20748662371704,
  48.96645802299165,
  84.79926549579322,
  17.443651248633113,
  10.507392308646061,
  9.629394491849592,
  43.899707533957056,
  76.57938428602517,
  6.5934052938768835,
  46.69722485010692,
  36.26383349733731,
  56.75762698024302,
  5.141654264322371,
  52.92015052736643,
  13.205149926593519,
  45.572929825126344,
  18.269568019135562,
  13.9138220803507,
  17.832138253766768,
  79.4009406302592,
  102.28300426910353,
  7.137096575455102,
  90.71704826850039,
  30.71721546310927,
  16.408591003746196,
  21.3949848600893,
  80.98871389750848,
  5.353943200641596,
  35.212229274483406,
  71.25566926041466,
  17.494178336699196,
  11.81298560442465,
  100.1165529054008,
  25.97633805838943,
  13.438740012369168,
  28.06734696375144,
  12.62189692819996,
  32.20783770136508,
  79.32089402307521,
  11.411461944243317,
  5.602938913312647,
  13.198081624024361,
  9.3918498430187,
  12.067152738487827,
  47.715037358789395,
  7.6250440067757985,
  31.566370382739002,
  10.34083258169008,
  62.36063255313266,
  16.043551730280356,
  14.669407490840648,
  9.07892055212517,
  19.46216046196041,
  38.469219857515604,
  123.88762230511485,
  14.130228392982087,
  5.727651826563023,
  8.568357454444532,
  9.75525911626705,
  44.067578145657166,
  20.42225426464529,
  8.42561602998256,
  5.434387501892274,
  5.632166804888571,
  8.598683347964556,
  68.0820370822853,
  10.871657162460481,
  64.56743555032034,
  6.786268755311105,
  6.412655017878963,
  19.956789446673646,
  33.37674411547328,
  35.191994063602806,
  126.84478717996551,
  14.872992962386054,
  18.637165121135,
  43.96189496397936,
  15.276984496210073,
  13.615890034628238,
  114.06872911742956,
  84.1072744106625,
  14.700284756582255,
  44.06648424977686,
  21.443582212233682,
  12.037036267409103,
  16.927700326294843,
  29.172214529015413,
  48.173481923287554,
  13.17113332617329,
  9.282586361495758,
  22.858799809269293,
  7.944389972972735,
  23.903953147509508,
  57.456774449775324,
  10.586960351614271,
  6.293414761101699,
  54.76982540315711,
  6.561022196877147,
  73.75300154389905,
  60.469446683021935,
  121.89739512531574,
  96.82165440377297,
  11.123581099805984,
  20.014116196631385,
  71.99870486429504,
  76.47419300644545,
  14.414449500996593,
  24.63844588720952,
  5.576547669644813,
  6.998723149243386,
  17.609049265495727,
  22.58152346512012,
  9.33107509537669,
  33.68925670755987,
  6.88334294411913,
  67.73825143821708,
  9.819392308145696,
  47.61769029151014,
  17.679656885352443,
  13.383523197251426,
  64.46081532862144,
  13.378438592831577,
  75.85125806474224,
  29.60503069896464,
  7.687026267043942,
  19.990303811515947,
  12.122842383113472,
  12.298320105454067,
  37.94917221602093,
  64.89227037208842,
  86.59906569486586,
  42.64319753326859,
  14.95158728395153,
  18.321322887552604,
  18.45588898861202,
  21.868388971141666,
  96.8288163240754,
  57.9367466917763,
  14.868179448723225,
  30.60502131366892,
  16.77177630783777,
  29.095512781889063,
  24.877911094937456,
  13.444114546042021,
  10.6044236893331,
  129.12950480218956,
  9.17302661902598,
  37.90175446563765,
  26.449201519956205,
  86.46793951857813,
  18.65425666968109,
  9.519331124619082,
  51.85550627055395,
  5.334611074670078,
  18.55097009162465,
  10.349538224492507,
  21.863015552770896,
  28.19759770743701,
  60.981310727733145,
  58.74254353458418,
  49.64063108428971,
  14.173610842714583,
  5.577019191978017,
  14.232717275471007,
  5.024338982286312,
  10.62390201437485,
  5.489577729933411,
  140.09227858737012,
  5.507492198544243,
  56.66542232370168,
  41.28575634447445,
  24.15143429820693,
  14.326633061076608,
  11.6771884259487,
  38.77905442790652,
  30.106560054821546,
  15.210217852618179,
  45.44745285216767,
  59.20147695135275,
  11.848131259352254,
  16.209110133326227,
  14.38533496824577,
  59.920070228196636,
  11.933399599824007,
  69.24845741011586,
  52.658677623818434,
  67.73638846980084,
  10.902973343875088,
  7.50788727762857,
  21.026598496240915,
  33.890097766147825,
  20.687717251093606,
  27.720007454764115,
  22.570493349996447,
  53.10950853548685,
  35.2662490604299,
  33.46895809713788,
  15.575974131079338,
  62.961356240549975,
  14.112139797628306,
  7.160917562711335,
  14.518740892624688,
  24.651273635462907,
  65.83868096423231,
  31.722453341164304,
  45.113634673889244,
  23.023280278790423,
  17.462214489753983,
  5.469419714357774,
  34.82826342880284,
  74.66623397179217,
  36.25081420874225,
  13.392105832412527,
  36.768498716095685,
  142.96352094128525,
  5.60868469705899,
  24.1258647340465,
  72.46726383327474,
  13.787523059813145,
  42.46512845915057,
  35.380547630705166,
  18.89676956950088,
  30.115610091433027,
  21.32723775502562,
  27.217559421324765,
  5.4413628778930585,
  24.50081458270804,
  31.088630534479055,
  63.72656600368967,
  90.32445897613249,
  23.357761325961782,
  57.63965505938337,
  14.57744756738162,
  8.717349075669329,
  18.96669755261779,
  61.057964592664725,
  11.483715032915534,
  16.816282132730578,
  31.145530840081165,
  9.342599265305699,
  10.457184909376425,
  57.54596721445385,
  10.212780226375752,
  6.599728675931606,
  15.298022546074405,
  10.260121586480324,
  22.746881871324103,
  11.615631909489672,
  35.97128455660004,
  210.07161867081106,
  34.55348686814202,
  10.575458490285088,
  84.04049584147552,
  5.850202658019011,
  7.311982112451463,
  58.66196290997561,
  155.4302309489907,
  19.014943203681902,
  21.42062168090085,
  30.934340952535266,
  79.94777457326046,
  12.871301301490174,
  15.259855852896973,
  24.691284991663426,
  13.145021217242821,
  5.523940262867851,
  18.976053295176467,
  10.011158825087945,
  47.4702647967777,
  6.025029078805608,
  50.382400679789924,
  15.63511897659138,
  11.191893194535359,
  5.03710238534255,
  242.72639101440427,
  18.962779762540436,
  35.787356616396245,
  16.943369786835596,
  27.85860218447307,
  52.4713469083992,
  89.56617383525173,
  6.2442113404992465,
  31.545827525142123,
  43.80192895787478,
  16.033396320692148,
  8.308210426103491,
  143.6079144385642,
  54.155857341104195,
  21.863598902475395,
  34.146777911720065,
  75.56866745474204,
  85.29785419737033,
  13.113151935447974,
  25.886965859608615,
  11.096386918710019,
  22.662503024336175,
  17.885566984121255,
  147.11635766301396,
  50.04815353929548,
  14.733342169137483,
  11.294221827314672,
  11.112503768837078,
  99.04812727476096,
  183.5962839585324,
  112.64286013948671,
  31.89358014759101,
  98.80873408789685,
  101.82203674227296,
  90.97678831247221,
  118.93732372415525,
  30.372079794716296,
  7.852848729385917,
  32.496459022191694,
  42.35138712369016,
  183.5249116642086,
  59.60822769985144,
  12.669697652892514,
  21.0926111258558,
  22.521731139046913,
  29.844077177770583,
  62.0037010434525,
  76.13824077198981,
  43.3578150844747,
  12.113852786722635,
  5.770865144770278,
  12.660300502541869,
  47.47893013475854,
  80.10632593860143,
  80.58392011672956,
  45.18922674973875,
  9.517714740118512,
  36.47453938894038,
  16.43835319915096,
  23.481909416650875,
  96.45202049077224,
  43.43986060473804,
  5.538439157040705,
  57.14314058024106,
  28.865384116152637,
  15.624994498885146,
  22.450220167623677,
  114.32270962465608,
  35.578297989784275,
  7.62793042742591,
  24.297941596894596,
  24.752536327659065,
  93.86110857011109,
  7.878139440174957,
  12.692659988514025,
  53.355627091137904,
  22.556086078469637,
  87.70326941468072,
  7.063982157166255,
  6.860076655615637,
  34.577745250278284,
  5.412061011053685,
  247.37138005188294,
  6.848228828914307,
  46.42447431967451,
  8.798367403871442,
  9.090776707267114,
  91.38079994868593,
  31.89941407959354,
  17.50365310920108,
  108.15689092008341,
  104.75185412583588,
  20.023685906674764,
  72.05583652554584,
  49.815231110698534,
  9.98972546951289,
  8.12373049612872,
  26.795994199625824,
  42.07077509250285,
  44.62818590211568,
  45.32284804522367,
  11.47737357088261,
  12.79490578734285,
  40.20597422677352,
  33.94529101356694,
  17.30828292386484,
  5.649944284361408,
  12.94478514686054,
  40.62845399708384,
  15.513539087995435,
  16.47375639332402,
  7.194103488166916,
  55.413902682874586,
  111.71637050168334,
  5.055146927347089,
  47.58820498764087,
  34.07939579162404,
  34.0762553446255,
  53.55092327286897,
  47.557364943227554,
  37.69038152970105,
  128.0519318436384,
  63.71062949182407,
  73.17383449436491,
  71.57807875807953,
  19.07724651449963,
  23.82464840694271,
  14.759470805023755,
  25.593876806839436,
  37.137027037645176,
  26.18490742219878,
  10.076819117447458,
  14.650776818000686,
  7.968115360166695,
  23.30853908420417,
  168.62440414828086,
  164.1699016718043,
  43.54589005660978,
  75.59888506649672,
  108.76862334466618,
  94.25053511938899,
  43.90610228554626,
  65.43656723597147,
  5.452360139535454,
  12.363123030206665,
  24.644165380537803,
  25.499637113501592,
  20.969029485461682,
  42.706946486731205,
  20.92535301391485,
  59.48182867741628,
  31.500987195606523,
  12.042514087649966,
  6.597838822179428,
  65.49121159497855,
  12.323451633720017,
  55.53546089266559,
  63.590903504276184,
  86.35226362551695,
  82.6236644744254,
  111.25554151135765,
  25.722196622704004,
  23.64479309965016,
  17.76851643080635,
  56.06900130050992,
  7.48132673684686,
  22.919885621272694,
  113.55733211849727,
  15.46423737985487,
  48.95056638351987,
  15.303809518243893,
  98.68968271307281,
  5.867133419372695,
  8.029842603296792,
  29.306347655051887,
  8.898170515344246,
  91.11964905373301,
  60.163162067434584,
  36.22067588815164,
  10.175634693325835,
  8.488823988210024,
  8.05999962923042,
  28.20973617190784,
  7.21873974123603,
  33.639183356582265,
  20.971448045132984,
  126.67292042877403,
  114.84833801205852,
  64.43109869398458,
  9.87950811538566,
  18.058436411461,
  69.26863401904643,
  93.27018859248666,
  23.92707963182121,
  17.721830042120573,
  32.435727746618745,
  18.892234971178667,
  13.175669013820098,
  14.39655901350981,
  34.559612747274045,
  28.783565756266725,
  51.57069197351742,
  14.350198614341375,
  76.58523155805653,
  19.986131704558897,
  18.21188418659293,
  80.86897356891242,
  8.276402709947696,
  29.899800717575047,
  25.289276135016724,
  82.0284016043655,
  12.349020231630883,
  8.114025249416619,
  7.294179235564412,
  30.77201920187659,
  15.580900304795492,
  11.305463353071627,
  20.713563996457,
  17.50258213996456,
  21.778757620970943,
  86.38351038907822,
  13.5000225887459,
  179.42179296535093,
  128.5813569963032,
  73.8442000918465,
  14.813042582581708,
  5.277309320540596,
  11.22636086489035,
  18.017678358991233,
  7.244995224998026,
  15.086122679787277,
  66.43957746929081,
  42.85492531970129,
  56.895216363688995,
  18.96371953326758,
  42.37288594775464,
  15.99030659034376,
  26.010030536307404,
  5.331672409428863,
  23.566574668987066,
  6.159078826913057,
  31.276132452477896,
  16.6682841929349,
  10.242159532647689,
  12.862817236325283,
  6.044025344854859,
  45.304142391271284,
  6.527637710986197,
  6.192844109031954,
  19.603148515107033,
  11.65012490688659,
  116.65819226483967,
  13.32002646243417,
  10.490285973903587,
  63.00828430253769,
  6.451337574201566,
  5.440754942085726,
  50.03064240562111,
  5.95216869472815,
  22.19690995703024,
  105.74743308098002,
  10.868073437550159,
  18.73571649833038,
  55.8674002892651,
  10.688779479348163,
  10.305405441718216,
  7.154967536746945,
  30.263372937061636,
  89.496382517326,
  11.373234125646698,
  70.550954793992,
  21.57913861146895,
  17.570544184162305,
  18.080362364389966,
  20.932994735038093,
  10.916093157665838,
  48.755465282215276,
  7.146050904234362,
  119.27534897475842,
  75.1412215115998,
  6.692172586203996,
  9.532834860079397,
  17.65779104136517,
  10.134483471285797,
  33.288648044117146,
  49.7401541582719,
  70.78357789743387,
  58.97244939288552,
  24.44434605937158,
  10.774230155060096,
  24.606679934250533,
  53.82644829836374,
  19.10193410484826,
  19.30129613358728,
  112.95793666276742,
  24.391004589630647,
  6.788772329622046,
  6.02194450313363,
  16.57468884599739,
  13.162001222528895,
  43.01395263717097,
  56.934674326340755,
  61.530431792091704,
  30.914667655355565,
  5.749759901885741,
  76.59663683888422,
  66.71712438683278,
  61.733117101230846,
  11.210239325134118,
  49.44644572378995,
  97.12039241093505,
  7.744419464684574,
  25.514329586087065,
  33.89011253703843,
  6.575687430682784,
  44.95926810350784,
  12.782053040515377,
  10.243520371656171,
  44.517614570318756,
  15.670828197623395,
  11.283871159255295,
  17.29485637331716,
  26.919154686382935,
  7.537152735182038,
  27.46338579553071,
  8.21633449262243,
  32.937546475453416,
  81.8981621830181,
  31.71969149728599,
  6.7938489032946645,
  41.62985225981125,
  68.49496477688699,
  15.162683315268122,
  56.82347446883216,
  82.81656059630382,
  8.38528431605947,
  24.173065743677864,
  8.926613288716318,
  62.28803429960712,
  15.528899896743013,
  107.68270108258517,
  13.99138074436676,
  11.253892986488621,
  7.090151996078676,
  5.7487690697341804,
  62.33444786312417,
  73.35612345514028,
  10.335069186811978,
  11.128833115376814,
  31.333278007294936,
  134.01825014619058,
  67.85750438862682,
  5.51792314982081,
  20.71830409476883,
  12.710985922562124,
  26.305609727064542,
  12.112982294674401,
  12.243149633152797,
  7.0535618443819565,
  66.29653733902975,
  5.422247158345862,
  12.14203852305835,
  17.32883917053613,
  79.89560256017333,
  59.03631834235209,
  73.70413061140978,
  13.200710890051761,
  52.57594944317344,
  46.88787825789264,
  16.49313847040712,
  69.19079367209537,
  14.610606578628262,
  14.178215006666376,
  7.609679770537984,
  13.301677384614203,
  27.578747922281966,
  34.052634276494004,
  118.6752812869941,
  9.309823343475076,
  49.79472436285974,
  31.47704953524304,
  5.800240493980301,
  38.02178365545685,
  13.50073392584585,
  15.491661333359737,
  5.4828298897342655,
  13.667604492566259,
  54.52340933391401,
  14.094501149209053,
  7.149846706466653,
  49.80672742562944,
  17.031851689108564,
  28.485883340528293,
  23.190879965308046,
  7.769373155038589,
  57.93424693527358,
  5.0296879889225155,
  6.662619582753854,
  21.79420281935949,
  27.73946566493462,
  32.87416606693397,
  19.76534733876916,
  8.72034863449153,
  27.548578154008077,
  89.31116838563068,
  77.67292184755682,
  9.561728053880646,
  134.04724440122774,
  21.740207863373623,
  78.75155044245611,
  59.92702853516076,
  60.50347011890885,
  15.412632537041763,
  42.773861186058944,
  52.21420557881477,
  65.78423153236862,
  56.84784241702165,
  73.84831832216777,
  15.228182340803102,
  64.98077085642191,
  59.472786340663006,
  72.09541532948903,
  6.469537706239994,
  107.63944718658215,
  8.104249193335587,
  9.432819297430282,
  26.63704263553428,
  16.634688171301605,
  58.81173876342052,
  19.330006706444088,
  49.03621683813502,
  88.45617576436945,
  6.702768479715715,
  15.899174987695567,
  20.534197318884637,
  29.907794038766482,
  22.939811804525046,
  31.887365292795458,
  18.533632454197363,
  7.238168359666823,
  13.911184533596082,
  80.1291749792731,
  16.152263374130698,
  23.717018115489683,
  19.491003333546395,
  8.54203346361912,
  9.969845491210988,
  21.100583907746593,
  14.189514945622872,
  34.353925960511,
  67.8497366519087,
  15.196492193116205,
  22.931144655572446,
  65.1717524129082,
  62.08620741785714,
  20.65556304868495,
  35.79397965125777,
  19.33862623115597,
  20.811494608025647,
  22.531830227881436,
  20.1658498638171,
  20.446786759593312,
  15.526938269108753,
  33.938962979493624,
  22.83330049801159,
  7.527819826482967,
  5.498495688184827,
  6.8056648870507885,
  23.248367037366894,
  25.975902528740075,
  98.14213107866327,
  32.70506241924527,
  6.239619122190523,
  7.847273622847176,
  26.77875008615984,
  12.461448354178815,
  5.682238218745671,
  37.30608830817433,
  24.987417948486147,
  97.4656852580693,
  28.162217617358536,
  30.195245635323847,
  86.49152044377901,
  52.54330832051091,
  38.88855497275651,
  5.416927205768996,
  5.894614684673442,
  56.25117231089497,
  100.0005722098493,
  8.040129226185652,
  41.83400779755621,
  30.66466409926123,
  41.98871704045455,
  7.874984535563118,
  87.73126410760747,
  10.305641502717918,
  5.333447028265372,
  ...])


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

([4058395.9473992097,
  4060026.018989019,
  4060087.6590087973,
  4060733.0018701917,
  4067589.718141056,
  4091101.0414350736,
  4093704.9250939516,
  4108451.400876145,
  4206046.550172074,
  4250562.457233741,
  4268299.61218213,
  4272600.0,
  4303651.270342577,
  4331018.440179262,
  4345726.551239113,
  4367951.5625,
  4398028.082776736,
  4398368.124144356,
  4417215.625,
  4417539.795916874,
  4421358.650846948,
  4422241.0915412055,
  4425934.256880797,
  4426133.487400634,
  4427940.131142011,
  4430047.500947794,
  4435465.625,
  4437095.65670832,
  4439602.641088732,
  4439807.8125,
  4440729.327690143,
  4442235.674603774,
  4442953.269861287,
  4444751.264032289,
  4449254.509094926,
  4449818.309263316,
  4450020.673402786,
  4450980.815845174,
  4451927.220701105,
  4452876.0919550145,
  4453281.25,
  4454006.504594448,
  4454280.207902197,
  4461818.24633656,
  4465815.255614255,
  4466109.339370481,
  4466637.102220526,
  4466768.446280342,
  4469067.614614942,
  4473301.5625,
  4473308.385699948,
  4479689.401349567,
  4479903.125,
  4481046.26235373,
  4484370.384726033,
  4486712.131388081,
  4487059.133053035,
  4489202.278805412,
  4489695.870787421,
  4490204.4339052895,
  4490436.135833555,
  4490928.125,
  4491091.231063606,
  4491543.311524892,
  4491563.988257827,
  4491906.163649908,
  4492025.0,
  4492075.578621169,
  4492383.127338748,
  4492433.395410472,
  4493296.156344952,
  4493366.592149457,
  4494129.258568844,
  4494257.773892421,
  4495294.884349112,
  4495362.379707924,
  4495445.3125,
  4495553.405183439,
  4495779.339729513,
  4497276.5625,
  4498067.718884249,
  4499251.128879167,
  4513850.0,
  4524572.663757419,
  4536234.2025497835,
  4537582.684586262,
  4537737.5,
  4538120.003327147,
  4547213.413784645,
  4555812.177359121,
  4563180.772355592,
  4572717.020130007,
  4577495.78719629,
  4592162.262450689,
  4603246.875,
  4701303.705250384,
  4702512.5,
  4716216.368987776,
  4716258.474325922,
  4720676.34261057,
  4721141.53488506,
  4725910.524929119,
  4747087.273021371,
  4760863.335308492,
  4760929.341432927,
  4798973.871418548,
  4800510.996699598,
  4806223.845181185,
  4807534.558118341,
  4811225.129610959,
  4811240.156239418,
  4816432.3946231175,
  4818143.75,
  4819990.218247255,
  4820010.023817134,
  4820102.787859314,
  4821681.8773253625,
  4823638.86729793,
  4824493.258737822,
  4826662.5,
  4827337.166319987,
  4831331.697456205,
  4831928.125,
  4833310.9375,
  4835122.198078526,
  4836485.9375,
  4849453.526052833,
  4849526.782333742,
  4857198.347953565,
  4857525.4342920715,
  4859777.89471848,
  4860456.28132149,
  4875534.670223309,
  4883921.875,
  4898755.950978317,
  4898759.375,
  4908917.1875,
  4911893.75,
  4918037.018939183,
  4918914.203423979,
  4919070.422508975,
  4926413.650696672,
  4928237.4488075785,
  4928244.074924708,
  4929081.666643676,
  4944132.4177856,
  4944312.5,
  4944695.286285937,
  4946395.3125,
  4959439.0625,
  4959473.765413343,
  4959606.484174399,
  4961378.3662916785,
  4967170.39451478,
  4968651.80471379,
  4974020.3125,
  4980759.852182867,
  4984176.374710454,
  4987523.4375,
  4992028.051088325,
  4995196.925274037,
  4999439.430257492,
  5002664.268985251,
  5005512.476145313,
  5006680.457388186,
  5006884.125662349,
  5014713.21562847,
  5015184.895209279,
  5017491.486757728,
  5017515.928752829,
  5017685.792787721,
  5018531.25,
  5022343.577694746,
  5024736.054831024,
  5024830.483063974,
  5026746.875,
  5031640.625,
  5034802.6788636,
  5046621.875,
  5060129.174591148,
  5074484.044804479,
  5092254.497243437,
  5092750.9126552725,
  5095234.234636919,
  5096026.736828672,
  5104025.0,
  5104679.528008149,
  5104971.194070167,
  5105132.070573594,
  5106471.387088759,
  5108382.090211779,
  5112887.5,
  5116884.375,
  5119134.136860472,
  5121005.71926579,
  5121646.332118217,
  5122386.31368521,
  5125648.767580305,
  5128867.946735332,
  5143401.700838805,
  5151529.054444768,
  5156410.465139631,
  5169746.875,
  5170092.069051717,
  5170889.268226771,
  5177165.625,
  5178122.4499936635,
  5181475.725692805,
  5182100.141754304,
  5193355.9955531815,
  5194306.073634473,
  5195430.940267287,
  5211275.86256045,
  5212841.054378083,
  5213587.5,
  5217468.14025839,
  5226081.114607709,
  5227054.473767454,
  5238583.623139606,
  5243090.283596295,
  5246837.5,
  5247640.625,
  5250350.0,
  5253340.043435801,
  5254382.047936612,
  5255326.5625,
  5257967.730709599,
  5257974.343156729,
  5257997.249703917,
  5258237.568074914,
  5259593.876562086,
  5260378.801214833,
  5261129.243137396,
  5267012.678115029,
  5268337.832579469,
  5273141.9841020955,
  5275804.6875,
  5278620.958756022,
  5284608.890727836,
  5285630.970330582,
  5288140.625,
  5289123.952084735,
  5293834.375,
  5294268.205255693,
  5295535.9375,
  5300797.122617697,
  5303709.076442548,
  5305217.032803907,
  5319737.5,
  5327357.8125,
  5341228.184183436,
  5348218.641009532,
  5353105.507852968,
  5355141.708447462,
  5355527.615107827,
  5361517.1875,
  5362053.471681184,
  5364714.0625,
  5381898.4375,
  5388089.60229357,
  5389306.648236087,
  5391079.8691762695,
  5407904.543814511,
  5412802.665638302,
  5414523.413962483,
  5418392.971045173,
  5418960.9375,
  5419519.394620384,
  5422136.4520665,
  5425232.610003391,
  5429916.640101899,
  5431234.4456326915,
  5432475.527991185,
  5437464.0625,
  5437500.059891494,
  5438951.6425110735,
  5442138.493110198,
  5444690.5704559935,
  5446190.662622232,
  5457907.878291463,
  5459924.6855038395,
  5459943.019071572,
  5462848.0370886065,
  5472344.370775469,
  5475849.769519394,
  5478805.010868622,
  5486236.43487121,
  5486262.962065689,
  5492379.6875,
  5494482.198006592,
  5495083.066484467,
  5496264.971202043,
  5503190.948001255,
  5509080.234479965,
  5515071.008910299,
  5518912.329769276,
  5518918.48177157,
  5524315.73795556,
  5539388.570630715,
  5539807.504592904,
  5548754.607377943,
  5558859.375,
  5565993.75,
  5567248.8343074545,
  5573056.9690317465,
  5574256.25,
  5591291.164613225,
  5591417.218759151,
  5592885.3693343485,
  5599668.618833096,
  5604520.247738821,
  5620576.5625,
  5628640.120021684,
  5631542.700563727,
  5636095.751400584,
  5640054.494733911,
  5640888.738888973,
  5644879.129945209,
  5649474.941696839,
  5650738.689310611,
  5652883.666548948,
  5655315.110688368,
  5655923.663989645,
  5704044.936618352,
  5710923.64222242,
  5716568.75,
  5716614.518449269,
  5734501.5625,
  5734827.802443041,
  5736131.325241272,
  5737520.3125,
  5789520.309858899,
  5803591.5252524,
  5807154.6875,
  5812817.1875,
  5813071.881070419,
  5814355.879863644,
  5815514.926726282,
  5816201.074097964,
  5817378.6842024755,
  5817398.420149213,
  5824835.937111971,
  5826279.261918966,
  5826892.759513174,
  5829613.963577448,
  5840489.588257939,
  5843451.5625,
  5849757.337627814,
  5862227.6458532,
  5862240.625,
  5935388.581519152,
  5942456.722358431,
  5950566.838115654,
  5975075.225869957,
  5991885.272389351,
  5993566.180289998,
  6002152.288535581,
  6006070.3125,
  6046249.9974734895,
  6049288.381388192,
  6050755.339188173,
  6052953.127641535,
  6060717.859932163,
  6061163.192541039,
  6067421.411815609,
  6072566.803226648,
  6078982.285301995,
  6099967.168127066,
  6110949.634173989,
  6113464.39287403,
  6116445.3125,
  6130991.970899931,
  6146787.042551275,
  6180510.574770822,
  6197851.774440062,
  6214048.2440621555,
  6338995.68106692,
  6372721.760473173,
  6372727.838545889,
  6418358.533994809,
  6436936.151694923,
  6498440.625,
  6498502.91009094,
  6508317.894019929,
  6513241.625224908,
  6514555.019436423,
  6519856.233249902,
  6730451.785474549,
  6764922.522439551,
  6842744.540604781,
  6849460.72030619,
  6882182.123269204,
  6890481.050721314,
  6905827.07851473,
  6991876.214354682,
  6991899.069833967,
  6996578.125,
  6996630.711245901,
  7013123.525870488,
  7082061.4133147225,
  7172497.743747908,
  7179017.67796788,
  7238484.700227356,
  7259785.9375,
  7259792.696133997,
  7282212.568756678,
  7283937.464443134,
  7289753.125,
  7294455.104201472,
  7294472.172062835,
  7294477.971005014,
  7321491.145029033,
  7325573.898291035,
  7342923.4375,
  7344662.5,
  7393239.0625,
  7396370.163801907,
  7399027.853444232,
  7424586.389465533,
  7429243.674931523,
  7432946.290287535,
  7438821.832992807,
  7439976.164121989,
  7450269.594876429,
  7461450.177434593,
  7462879.003195114,
  7475425.065965847,
  7497679.6875,
  7516080.476551939,
  7516225.1480371645,
  7517240.402573676,
  7521027.892374241,
  7523640.669238933,
  7526004.19804659,
  7531212.5,
  7533050.491446519,
  7539217.721832455,
  7555328.302103541,
  7592120.713684104,
  7598867.1875,
  7617775.0,
  7617790.148944338,
  7672859.375,
  7673026.5625,
  7673254.590215365,
  7704863.791310354,
  7740477.34024542,
  7755738.722770873,
  7757451.5625,
  7770139.400655701,
  7779854.3189676525,
  7801818.75,
  7840888.153697266,
  7884581.180283015,
  7886780.765846308,
  7889679.559106866,
  7908982.8125,
  7922804.32943369,
  7923644.120407755,
  7941045.291317091,
  7963962.5,
  7984470.213588591,
  7984474.171998058,
  7992488.179239468,
  7998009.375,
  7998833.028918152,
  8006901.980478446,
  8032687.778434409,
  8039960.950711479,
  8042141.711527116,
  8048275.0,
  8050297.76102358,
  8051147.557781336,
  8051728.2154932795,
  8054710.301153258,
  8063893.3671263,
  8068631.541235426,
  8075579.6875,
  8109527.573513529,
  8115603.125,
  8115652.740415538,
  8117923.4375,
  8118739.540334585,
  8127108.4908996085,
  8132765.625,
  8143703.125,
  8149941.397135564,
  8153465.301149871,
  8153537.5,
  8156887.5,
  8162732.05870285,
  8167398.6786036175,
  8184947.527751315,
  8185997.929161987,
  8237051.372719883,
  8261458.579295403,
  8285630.395117875,
  8334046.853252081,
  8427655.620852761,
  8428698.4375,
  8441840.795805376,
  8449584.415679984,
  8477699.734765328,
  8481186.265994716,
  8487589.82746625,
  8488104.6875,
  8491911.379313339,
  8495791.225316914,
  8497124.367557218,
  8506632.8125,
  8507527.940866072,
  8513978.194333857,
  8514866.678597996,
  8517544.009728137,
  8522112.540685691,
  8529259.66318902,
  8529327.632203922,
  8531224.612780858,
  8532168.680644542,
  8532173.538163513,
  8534878.125,
  8573402.545380825,
  8574995.163159683,
  8577371.854869675,
  8616933.98474675,
  8650539.667074053,
  8658889.110917853,
  8660293.75,
  8662245.256791381,
  8663793.853981638,
  8752942.177751748,
  8790140.961818138,
  8795505.325474916,
  8797538.159634426,
  8813296.875,
  8817162.5,
  8845146.698409433,
  8892307.357255243,
  8919092.586869318,
  8919095.088138876,
  8920258.453649402,
  8949215.105601043,
  8950671.875,
  8954979.32015544,
  8981335.9375,
  8981336.741473338,
  8982788.521393308,
  8987329.284782792,
  8996218.148732843,
  9006778.954366,
  9006975.0,
  9009145.675894793,
  9021881.800909799,
  9023547.837282006,
  9026324.23747589,
  9027238.509823237,
  9042662.433696637,
  9072085.9375,
  9086088.943594897,
  9086111.14991886,
  9086771.875,
  9088536.28164125,
  9088954.366158582,
  9107896.242131144,
  9113451.5625,
  9119548.547419231,
  9134041.460460778,
  9134643.267969096,
  9134817.355963118,
  9158124.590876998,
  9159253.877360087,
  9179017.1875,
  9188046.942759633,
  9193668.491663987,
  9202620.087078568,
  9209118.686614357,
  9213317.888568826,
  9216685.188703442,
  9218238.577670297,
  9230104.053486507,
  9230763.660458002,
  9240091.964270063,
  9241722.340206167,
  9255553.125,
  9255576.913420584,
  9276212.149131704,
  9288080.097556809,
  9298565.105099294,
  9300202.419295441,
  9301863.763519485,
  9310560.9375,
  9317386.540796056,
  9324514.603907267,
  9355432.74129726,
  9360840.601469038,
  9361650.901400553,
  9361846.079117393,
  9363891.797286503,
  9374369.437904177,
  9380473.116313387,
  9381325.539576715,
  9396615.535032716,
  9396800.529720044,
  9403862.5,
  9424998.650251927,
  9432482.106387945,
  9434217.935800845,
  9436592.382370334,
  9467616.132655915,
  9473691.256190669,
  9473754.564808654,
  9496006.25,
  9515107.496723024,
  9536596.400824582,
  9550303.394353362,
  9557407.29599924,
  9563343.75,
  9563419.541933797,
  9571153.125,
  9577278.763372326,
  9603029.278504146,
  9607867.79436787,
  9609583.16883727,
  9610315.119810415,
  9633493.75,
  9657723.4375,
  9660248.4375,
  9671674.593290605,
  9676827.343132004,
  9684862.341701461,
  9685476.51390591,
  9707676.394281473,
  9707676.5625,
  9707735.59098163,
  9707747.642093796,
  9708068.671572866,
  9712525.907476317,
  9716228.319865068,
  9724899.883324191,
  9727131.25,
  9734382.8125,
  9752481.25,
  9756060.159241755,
  9770177.513187397,
  9779153.125,
  9795559.375,
  9795641.966497269,
  9795930.35623142,
  9796336.608937614,
  9798030.470066678,
  9799232.076259887,
  9829035.09763328,
  9842002.210838811,
  9849100.575223634,
  9861709.296515854,
  9862805.20328753,
  9862883.484386506,
  9870877.679320175,
  9873694.400472168,
  9893684.375,
  9897528.39718787,
  9928007.946834138,
  9959830.601031788,
  9985282.18274011,
  10017080.548214613,
  10018134.358285338,
  10018558.426383989,
  10037154.6875,
  10038523.087368159,
  10083540.257047188,
  10097459.375,
  10116669.803720389,
  10159026.476266287,
  10184578.216913655,
  10211260.571723709,
  10211319.44342461,
  10218032.29326432,
  10227009.375,
  10259999.43897688,
  10261092.13960186,
  10282793.75,
  10317592.918417007,
  10336160.229080983,
  10350645.676323883,
  10405544.857966945,
  10405562.483878668,
  10424861.295108233,
  10446723.4375,
  10446726.008566998,
  10453998.758411126,
  10454923.99069876,
  10463337.5,
  10467536.521622196,
  10571400.632009886,
  10582924.340001768,
  10604026.449834472,
  10618337.9348853,
  10621013.735479012,
  10649048.4375,
  10680232.094289372,
  10711739.820933042,
  10711752.9742811,
  10737873.374221817,
  10762556.25,
  10765828.125,
  10765837.335701901,
  10772287.5,
  10798870.563361138,
  10811082.617697366,
  10818604.71415179,
  10845964.04320997,
  10875756.220624799,
  10887832.624102127,
  10937545.3125,
  10946828.520357814,
  10989099.658797156,
  10990577.181212705,
  11013657.64090204,
  11013831.78662705,
  11016112.610822449,
  11017002.543135572,
  11017373.97872498,
  11043627.232827127,
  11059843.221275238,
  11066099.21199593,
  11071705.935710201,
  11074018.730765011,
  11086304.6875,
  11086306.215881925,
  11133465.172426222,
  11135562.562212083,
  11157289.599109361,
  11229967.637518024,
  11270908.297544803,
  11317002.405788455,
  11318253.125,
  11337578.125,
  11340660.23450796,
  11399590.625,
  11400750.250400776,
  11439139.631981844,
  11460066.885313751,
  11467634.738311373,
  11481327.218473986,
  11491445.3125,
  11526957.612984862,
  11591705.598503174,
  11600530.571673121,
  11619666.75273813,
  11659485.9601625,
  11660989.3163692,
  11661050.95041705,
  11671798.04813325,
  11693107.327246029,
  11699438.57279432,
  11711719.810300613,
  11718297.98745786,
  11728101.029226461,
  11735106.018063491,
  11757080.751146285,
  11779938.047465732,
  11780056.395400513,
  11787828.357866848,
  11790910.9375,
  11801426.389791984,
  11808574.170653634,
  11818832.680734592,
  11837912.199784853,
  11845718.151443204,
  11845818.875983926,
  11856377.87929889,
  11868801.5625,
  11887070.464099953,
  11896754.905244475,
  11897069.821081903,
  11899185.831860572,
  11915875.6354404,
  11918398.748800043,
  11954246.73526201,
  11958634.375,
  11960878.217760354,
  11961489.119627262,
  11962796.62471885,
  11972148.069371527,
  12016539.291489484,
  12046486.096399067,
  12069386.755715907,
  12095867.1875,
  12103562.5,
  12114941.676699314,
  12120543.61219302,
  12124435.689926757,
  12141985.698939987,
  12158142.595422488,
  12158314.0625,
  12159916.3146793,
  12170971.123101493,
  12171155.854858952,
  12175838.811023612,
  12181418.875251355,
  12196857.151375368,
  12208893.412692524,
  12218649.438989291,
  12220844.578640537,
  12229719.584925678,
  12231284.67237216,
  12231288.249366729,
  12246252.21761978,
  12250918.75,
  12252832.8125,
  12262679.021256542,
  12268663.308686862,
  12294291.639968183,
  12295004.09969554,
  12322506.624176271,
  12340094.691654261,
  12348337.678343313,
  12349847.417814808,
  12350737.163806148,
  12355325.851079108,
  12364399.349654198,
  12369082.155875335,
  12380876.74153315,
  12383017.285163369,
  12390791.130299026,
  12391465.538242511,
  12394967.00101242,
  12399858.694039267,
  12405582.67726503,
  12409104.6875,
  12413253.250435356,
  12415035.9375,
  12415989.212607004,
  12419561.829123696,
  12426664.845572049,
  12426689.1193421,
  12426863.704804556,
  12474839.692704622,
  12477600.182105903,
  12480788.794858325,
  12484208.854057485,
  12496531.25,
  12502364.20852105,
  12508920.3125,
  12516202.851191733,
  12519187.579257362,
  12532157.692077484,
  12532220.952973774,
  12542210.826877464,
  12544696.875,
  12544736.925888687,
  12553978.12572046,
  12563290.625,
  12566390.057727331,
  12570124.787743438,
  12576524.683683522,
  12581366.606156906,
  12600820.031952415,
  12610365.501751434,
  12623502.112985112,
  12624708.425451366,
  12642590.360282928,
  12653437.201314231,
  12664803.733245693,
  12692806.814609583,
  12697897.38625491,
  12749842.055068506,
  12752396.389417397,
  12756575.031000502,
  12770913.516089551,
  12783490.625,
  12786498.4375,
  12801509.730129343,
  12929907.8125,
  12940611.806312468,
  12991198.221709438,
  12994160.955276368,
  13000919.803578135,
  13008142.137823468,
  13012584.375,
  13016314.02446274,
  13024631.224367807,
  13042339.0625,
  13055736.498408454,
  13057926.375063015,
  13071954.449952472,
  13086687.062567644,
  13106178.262220357,
  13106250.481729329,
  13113127.520714475,
  13113940.625,
  13117201.32098846,
  13136795.41942934,
  13138259.375,
  13296039.520626068,
  13302370.310512222,
  13389365.279868992,
  13389419.187110895,
  13389584.375,
  13389636.784429995,
  13389641.660245012,
  13389715.360373778,
  13389850.945397085,
  13389905.423725294,
  13390073.33661942,
  13390360.11410648,
  13390398.488365114,
  13390484.218031,
  13390523.4375,
  13390542.447887743,
  13390568.75,
  13390579.211919654,
  13390584.176648885,
  13390602.41223064,
  13390606.25,
  13390654.6331535,
  13390672.26680381,
  13390704.6875,
  13390707.201783177,
  13390739.064351501,
  13390741.58261399,
  13390743.823232416,
  13390773.390633427,
  13390793.75,
  13390829.6875,
  13390834.262100589,
  13390842.785015289,
  13390844.951030638,
  13390845.430053363,
  13390858.8513167,
  13390879.817112098,
  13390880.980367037,
  13390883.626877155,
  13390885.30307264,
  13390895.3125,
  13390905.937956551,
  13390928.355445106,
  13390929.871898992,
  13390931.189320339,
  13390936.017930975,
  13390944.677398736,
  13390947.08706832,
  13390956.676150808,
  13390960.305471532,
  13390982.350676358,
  13390990.91010586,
  13391014.541610824,
  13391019.585284427,
  13391025.453728942,
  13391028.79448513,
  13391036.959730806,
  13391037.28764785,
  13391064.905595476,
  13391067.1875,
  13391070.377827039,
  13391070.72219548,
  13391089.0625,
  13391103.125,
  13391105.66173189,
  13391112.095140403,
  13391115.870724434,
  13391130.678845419,
  13391132.739629205,
  13391157.168293567,
  13391157.200799927,
  13391164.208058914,
  13391170.233093217,
  13391177.749614453,
  13391177.911553161,
  13391180.516190207,
  13391187.70756402,
  13391201.22212618,
  13391202.981287066,
  13391215.625,
  13391222.685367629,
  13391229.466047794,
  13391235.002824588,
  13391241.07679285,
  13391242.900718246,
  13391254.295208003,
  13391279.6875,
  13391281.047642402,
  13391284.217609024,
  13391285.092327634,
  13391296.586656045,
  13391299.91834046,
  13391305.405653704,
  13391310.9375,
  13391311.4119569,
  13391316.658387128,
  13391321.120283596,
  13391336.119462902,
  13391337.002952922,
  13391339.0625,
  13391342.1875,
  13391350.0,
  13391352.2561409,
  13391362.773572285,
  13391368.151638698,
  13391376.313080756,
  ...],
 [18.076898721089222,
  5.50727114120692,
  5.622901873922908,
  15.716013005300324,
  73.02540034762401,
  29.48626148229035,
  75.97330044275922,
  14.359294863766001,
  59.85080910543458,
  14.780971993628384,
  16.420999776100746,
  63.588562035782445,
  23.85143932008154,
  63.84996808710622,
  6.761260500272808,
  62.65705311478518,
  23.870510698409873,
  34.44249175978287,
  70.61716671687594,
  10.039455047117219,
  109.50343775166861,
  25.67211331273575,
  9.233484622832423,
  17.504475639376913,
  13.342899092765814,
  32.86726025649426,
  53.30305197778557,
  6.311688667724713,
  18.899747836576804,
  42.06728637698503,
  23.015679531374058,
  31.846436339262453,
  21.90111065897707,
  133.57996330673993,
  81.77591423936033,
  33.0499435365077,
  120.05389012028945,
  17.978985299022167,
  13.503573668041891,
  57.38334719139384,
  58.40003638057999,
  29.110744251570825,
  8.582382482023654,
  10.422228330126794,
  13.698592291984065,
  76.44624445143987,
  16.37286341042747,
  23.703344173371978,
  8.526140663141899,
  69.22437827483722,
  17.693145544237733,
  16.41214529254383,
  82.34991856800713,
  10.288441249006329,
  19.976644926374036,
  74.46696341059366,
  10.769476391797873,
  61.890541739208885,
  77.94466738595311,
  62.54602541868663,
  25.185642085458078,
  49.957061139188546,
  8.635373199428733,
  8.98626555480635,
  11.013611097853092,
  8.241435780707228,
  41.38624730501175,
  12.171077857505564,
  16.294640063410935,
  67.16287006864164,
  47.019235973406964,
  20.59189096566672,
  22.232607770776326,
  74.54736299281623,
  7.4553910100645115,
  14.631210830987136,
  119.24371491324393,
  23.92796287588991,
  13.763243061673272,
  58.62474695733647,
  6.145158477104013,
  8.98982521759861,
  45.05505253156874,
  25.277448291374235,
  16.566422226283414,
  26.229566750407315,
  83.94526906408998,
  58.34172955695877,
  70.0346087545195,
  13.839536708390918,
  26.568269319542857,
  58.71919539238401,
  17.123010969049236,
  14.107304072088265,
  51.369054295905315,
  9.875479313950237,
  102.40583567001104,
  7.896479377913899,
  5.311977931652329,
  10.800561915960545,
  8.83447798182812,
  7.0170642311377485,
  5.334203652886394,
  16.112518981799944,
  5.330201447582425,
  16.90098904478785,
  5.818373553404986,
  100.03440442112942,
  8.385846879544347,
  15.459662707997085,
  27.01222128652548,
  31.59256999919026,
  41.60949215360659,
  19.244490548456422,
  12.319875160178334,
  23.287637530409913,
  9.92486383698255,
  25.188527461014257,
  51.87800871513513,
  71.68745296740163,
  31.33286223723881,
  16.97383740374993,
  65.01306727089398,
  61.87642727912856,
  58.314519296539395,
  34.49478647399486,
  16.727579498229822,
  5.0452681011021285,
  26.871055650333094,
  18.82578246219527,
  24.684113401585506,
  7.614605551662513,
  16.200328941993675,
  47.9813458265428,
  8.134535930543644,
  80.86723142674997,
  28.874800497406767,
  39.554791596585815,
  5.325703360518529,
  53.48000305620607,
  21.062576786087646,
  55.752596173261686,
  27.551028903103255,
  122.45188875781241,
  36.16764711791174,
  78.13219661751448,
  44.55823460372638,
  11.086978264855412,
  63.762600267344425,
  35.99321029431933,
  7.210403164407992,
  72.75757449668892,
  7.692904120959393,
  7.143179039322057,
  7.186611950061788,
  58.89249308968343,
  90.41773516463229,
  31.24139651299254,
  77.95736307456147,
  9.269678959961503,
  15.13665656395754,
  5.972084959303349,
  25.62163549230851,
  28.061295226044994,
  8.740489858421746,
  44.60957292094044,
  23.886479891099718,
  12.051423242249324,
  34.10054284258352,
  16.241155492213206,
  32.056927672990014,
  63.655849783674576,
  6.729587887492263,
  18.336215153590217,
  5.87528756576145,
  36.5120992346873,
  56.68783637739028,
  22.04779028062435,
  32.16682877366449,
  21.365286879448984,
  6.699328672433609,
  9.175550011897458,
  20.1181149091368,
  10.915176168463566,
  22.022455222036065,
  45.637478915393515,
  84.54188036366187,
  18.211885419577566,
  19.377364634940214,
  61.60349070491236,
  33.11731876001318,
  60.925414655506486,
  100.6286392162271,
  47.037289702958454,
  30.14081384162291,
  114.5071286024957,
  29.34120972947096,
  16.368963154944932,
  10.068056536320867,
  26.690575337048514,
  6.964423303605153,
  53.14706649121055,
  35.276730064791906,
  9.233217184319106,
  9.511633353880397,
  33.993024254293786,
  61.56095729496239,
  18.683481527119753,
  13.315971346517882,
  24.350599120032797,
  56.743060525297025,
  11.661035408747022,
  98.28969176973031,
  9.722924299480121,
  30.326050259703884,
  20.46403166697353,
  19.26078551428087,
  56.39733331010342,
  19.301585401541058,
  62.283113392040526,
  68.36268872208923,
  81.28018845118726,
  61.64846928973128,
  13.108077226201807,
  7.919803749557075,
  61.93125647197509,
  9.837230606037823,
  12.91607886616985,
  16.59197376822173,
  15.20748662371704,
  48.96645802299165,
  84.79926549579322,
  17.443651248633113,
  10.507392308646061,
  9.629394491849592,
  43.899707533957056,
  76.57938428602517,
  6.5934052938768835,
  46.69722485010692,
  36.26383349733731,
  56.75762698024302,
  5.141654264322371,
  52.92015052736643,
  13.205149926593519,
  45.572929825126344,
  18.269568019135562,
  13.9138220803507,
  17.832138253766768,
  79.4009406302592,
  102.28300426910353,
  7.137096575455102,
  90.71704826850039,
  30.71721546310927,
  16.408591003746196,
  21.3949848600893,
  80.98871389750848,
  5.353943200641596,
  35.212229274483406,
  71.25566926041466,
  17.494178336699196,
  11.81298560442465,
  100.1165529054008,
  25.97633805838943,
  13.438740012369168,
  28.06734696375144,
  12.62189692819996,
  32.20783770136508,
  79.32089402307521,
  11.411461944243317,
  5.602938913312647,
  13.198081624024361,
  9.3918498430187,
  12.067152738487827,
  47.715037358789395,
  7.6250440067757985,
  31.566370382739002,
  10.34083258169008,
  62.36063255313266,
  16.043551730280356,
  14.669407490840648,
  9.07892055212517,
  19.46216046196041,
  38.469219857515604,
  123.88762230511485,
  14.130228392982087,
  5.727651826563023,
  8.568357454444532,
  9.75525911626705,
  44.067578145657166,
  20.42225426464529,
  8.42561602998256,
  5.434387501892274,
  5.632166804888571,
  8.598683347964556,
  68.0820370822853,
  10.871657162460481,
  64.56743555032034,
  6.786268755311105,
  6.412655017878963,
  19.956789446673646,
  33.37674411547328,
  35.191994063602806,
  126.84478717996551,
  14.872992962386054,
  18.637165121135,
  43.96189496397936,
  15.276984496210073,
  13.615890034628238,
  114.06872911742956,
  84.1072744106625,
  14.700284756582255,
  44.06648424977686,
  21.443582212233682,
  12.037036267409103,
  16.927700326294843,
  29.172214529015413,
  48.173481923287554,
  13.17113332617329,
  9.282586361495758,
  22.858799809269293,
  7.944389972972735,
  23.903953147509508,
  57.456774449775324,
  10.586960351614271,
  6.293414761101699,
  54.76982540315711,
  6.561022196877147,
  73.75300154389905,
  60.469446683021935,
  121.89739512531574,
  96.82165440377297,
  11.123581099805984,
  20.014116196631385,
  71.99870486429504,
  76.47419300644545,
  14.414449500996593,
  24.63844588720952,
  5.576547669644813,
  6.998723149243386,
  17.609049265495727,
  22.58152346512012,
  9.33107509537669,
  33.68925670755987,
  6.88334294411913,
  67.73825143821708,
  9.819392308145696,
  47.61769029151014,
  17.679656885352443,
  13.383523197251426,
  64.46081532862144,
  13.378438592831577,
  75.85125806474224,
  29.60503069896464,
  7.687026267043942,
  19.990303811515947,
  12.122842383113472,
  12.298320105454067,
  37.94917221602093,
  64.89227037208842,
  86.59906569486586,
  42.64319753326859,
  14.95158728395153,
  18.321322887552604,
  18.45588898861202,
  21.868388971141666,
  96.8288163240754,
  57.9367466917763,
  14.868179448723225,
  30.60502131366892,
  16.77177630783777,
  29.095512781889063,
  24.877911094937456,
  13.444114546042021,
  10.6044236893331,
  129.12950480218956,
  9.17302661902598,
  37.90175446563765,
  26.449201519956205,
  86.46793951857813,
  18.65425666968109,
  9.519331124619082,
  51.85550627055395,
  5.334611074670078,
  18.55097009162465,
  10.349538224492507,
  21.863015552770896,
  28.19759770743701,
  60.981310727733145,
  58.74254353458418,
  49.64063108428971,
  14.173610842714583,
  5.577019191978017,
  14.232717275471007,
  5.024338982286312,
  10.62390201437485,
  5.489577729933411,
  140.09227858737012,
  5.507492198544243,
  56.66542232370168,
  41.28575634447445,
  24.15143429820693,
  14.326633061076608,
  11.6771884259487,
  38.77905442790652,
  30.106560054821546,
  15.210217852618179,
  45.44745285216767,
  59.20147695135275,
  11.848131259352254,
  16.209110133326227,
  14.38533496824577,
  59.920070228196636,
  11.933399599824007,
  69.24845741011586,
  52.658677623818434,
  67.73638846980084,
  10.902973343875088,
  7.50788727762857,
  21.026598496240915,
  33.890097766147825,
  20.687717251093606,
  27.720007454764115,
  22.570493349996447,
  53.10950853548685,
  35.2662490604299,
  33.46895809713788,
  15.575974131079338,
  62.961356240549975,
  14.112139797628306,
  7.160917562711335,
  14.518740892624688,
  24.651273635462907,
  65.83868096423231,
  31.722453341164304,
  45.113634673889244,
  23.023280278790423,
  17.462214489753983,
  5.469419714357774,
  34.82826342880284,
  74.66623397179217,
  36.25081420874225,
  13.392105832412527,
  36.768498716095685,
  142.96352094128525,
  5.60868469705899,
  24.1258647340465,
  72.46726383327474,
  13.787523059813145,
  42.46512845915057,
  35.380547630705166,
  18.89676956950088,
  30.115610091433027,
  21.32723775502562,
  27.217559421324765,
  5.4413628778930585,
  24.50081458270804,
  31.088630534479055,
  63.72656600368967,
  90.32445897613249,
  23.357761325961782,
  57.63965505938337,
  14.57744756738162,
  8.717349075669329,
  18.96669755261779,
  61.057964592664725,
  11.483715032915534,
  16.816282132730578,
  31.145530840081165,
  9.342599265305699,
  10.457184909376425,
  57.54596721445385,
  10.212780226375752,
  6.599728675931606,
  15.298022546074405,
  10.260121586480324,
  22.746881871324103,
  11.615631909489672,
  35.97128455660004,
  210.07161867081106,
  34.55348686814202,
  10.575458490285088,
  84.04049584147552,
  5.850202658019011,
  7.311982112451463,
  58.66196290997561,
  155.4302309489907,
  19.014943203681902,
  21.42062168090085,
  30.934340952535266,
  79.94777457326046,
  12.871301301490174,
  15.259855852896973,
  24.691284991663426,
  13.145021217242821,
  5.523940262867851,
  18.976053295176467,
  10.011158825087945,
  47.4702647967777,
  6.025029078805608,
  50.382400679789924,
  15.63511897659138,
  11.191893194535359,
  5.03710238534255,
  242.72639101440427,
  18.962779762540436,
  35.787356616396245,
  16.943369786835596,
  27.85860218447307,
  52.4713469083992,
  89.56617383525173,
  6.2442113404992465,
  31.545827525142123,
  43.80192895787478,
  16.033396320692148,
  8.308210426103491,
  143.6079144385642,
  54.155857341104195,
  21.863598902475395,
  34.146777911720065,
  75.56866745474204,
  85.29785419737033,
  13.113151935447974,
  25.886965859608615,
  11.096386918710019,
  22.662503024336175,
  17.885566984121255,
  147.11635766301396,
  50.04815353929548,
  14.733342169137483,
  11.294221827314672,
  11.112503768837078,
  99.04812727476096,
  183.5962839585324,
  112.64286013948671,
  31.89358014759101,
  98.80873408789685,
  101.82203674227296,
  90.97678831247221,
  118.93732372415525,
  30.372079794716296,
  7.852848729385917,
  32.496459022191694,
  42.35138712369016,
  183.5249116642086,
  59.60822769985144,
  12.669697652892514,
  21.0926111258558,
  22.521731139046913,
  29.844077177770583,
  62.0037010434525,
  76.13824077198981,
  43.3578150844747,
  12.113852786722635,
  5.770865144770278,
  12.660300502541869,
  47.47893013475854,
  80.10632593860143,
  80.58392011672956,
  45.18922674973875,
  9.517714740118512,
  36.47453938894038,
  16.43835319915096,
  23.481909416650875,
  96.45202049077224,
  43.43986060473804,
  5.538439157040705,
  57.14314058024106,
  28.865384116152637,
  15.624994498885146,
  22.450220167623677,
  114.32270962465608,
  35.578297989784275,
  7.62793042742591,
  24.297941596894596,
  24.752536327659065,
  93.86110857011109,
  7.878139440174957,
  12.692659988514025,
  53.355627091137904,
  22.556086078469637,
  87.70326941468072,
  7.063982157166255,
  6.860076655615637,
  34.577745250278284,
  5.412061011053685,
  247.37138005188294,
  6.848228828914307,
  46.42447431967451,
  8.798367403871442,
  9.090776707267114,
  91.38079994868593,
  31.89941407959354,
  17.50365310920108,
  108.15689092008341,
  104.75185412583588,
  20.023685906674764,
  72.05583652554584,
  49.815231110698534,
  9.98972546951289,
  8.12373049612872,
  26.795994199625824,
  42.07077509250285,
  44.62818590211568,
  45.32284804522367,
  11.47737357088261,
  12.79490578734285,
  40.20597422677352,
  33.94529101356694,
  17.30828292386484,
  5.649944284361408,
  12.94478514686054,
  40.62845399708384,
  15.513539087995435,
  16.47375639332402,
  7.194103488166916,
  55.413902682874586,
  111.71637050168334,
  5.055146927347089,
  47.58820498764087,
  34.07939579162404,
  34.0762553446255,
  53.55092327286897,
  47.557364943227554,
  37.69038152970105,
  128.0519318436384,
  63.71062949182407,
  73.17383449436491,
  71.57807875807953,
  19.07724651449963,
  23.82464840694271,
  14.759470805023755,
  25.593876806839436,
  37.137027037645176,
  26.18490742219878,
  10.076819117447458,
  14.650776818000686,
  7.968115360166695,
  23.30853908420417,
  168.62440414828086,
  164.1699016718043,
  43.54589005660978,
  75.59888506649672,
  108.76862334466618,
  94.25053511938899,
  43.90610228554626,
  65.43656723597147,
  5.452360139535454,
  12.363123030206665,
  24.644165380537803,
  25.499637113501592,
  20.969029485461682,
  42.706946486731205,
  20.92535301391485,
  59.48182867741628,
  31.500987195606523,
  12.042514087649966,
  6.597838822179428,
  65.49121159497855,
  12.323451633720017,
  55.53546089266559,
  63.590903504276184,
  86.35226362551695,
  82.6236644744254,
  111.25554151135765,
  25.722196622704004,
  23.64479309965016,
  17.76851643080635,
  56.06900130050992,
  7.48132673684686,
  22.919885621272694,
  113.55733211849727,
  15.46423737985487,
  48.95056638351987,
  15.303809518243893,
  98.68968271307281,
  5.867133419372695,
  8.029842603296792,
  29.306347655051887,
  8.898170515344246,
  91.11964905373301,
  60.163162067434584,
  36.22067588815164,
  10.175634693325835,
  8.488823988210024,
  8.05999962923042,
  28.20973617190784,
  7.21873974123603,
  33.639183356582265,
  20.971448045132984,
  126.67292042877403,
  114.84833801205852,
  64.43109869398458,
  9.87950811538566,
  18.058436411461,
  69.26863401904643,
  93.27018859248666,
  23.92707963182121,
  17.721830042120573,
  32.435727746618745,
  18.892234971178667,
  13.175669013820098,
  14.39655901350981,
  34.559612747274045,
  28.783565756266725,
  51.57069197351742,
  14.350198614341375,
  76.58523155805653,
  19.986131704558897,
  18.21188418659293,
  80.86897356891242,
  8.276402709947696,
  29.899800717575047,
  25.289276135016724,
  82.0284016043655,
  12.349020231630883,
  8.114025249416619,
  7.294179235564412,
  30.77201920187659,
  15.580900304795492,
  11.305463353071627,
  20.713563996457,
  17.50258213996456,
  21.778757620970943,
  86.38351038907822,
  13.5000225887459,
  179.42179296535093,
  128.5813569963032,
  73.8442000918465,
  14.813042582581708,
  5.277309320540596,
  11.22636086489035,
  18.017678358991233,
  7.244995224998026,
  15.086122679787277,
  66.43957746929081,
  42.85492531970129,
  56.895216363688995,
  18.96371953326758,
  42.37288594775464,
  15.99030659034376,
  26.010030536307404,
  5.331672409428863,
  23.566574668987066,
  6.159078826913057,
  31.276132452477896,
  16.6682841929349,
  10.242159532647689,
  12.862817236325283,
  6.044025344854859,
  45.304142391271284,
  6.527637710986197,
  6.192844109031954,
  19.603148515107033,
  11.65012490688659,
  116.65819226483967,
  13.32002646243417,
  10.490285973903587,
  63.00828430253769,
  6.451337574201566,
  5.440754942085726,
  50.03064240562111,
  5.95216869472815,
  22.19690995703024,
  105.74743308098002,
  10.868073437550159,
  18.73571649833038,
  55.8674002892651,
  10.688779479348163,
  10.305405441718216,
  7.154967536746945,
  30.263372937061636,
  89.496382517326,
  11.373234125646698,
  70.550954793992,
  21.57913861146895,
  17.570544184162305,
  18.080362364389966,
  20.932994735038093,
  10.916093157665838,
  48.755465282215276,
  7.146050904234362,
  119.27534897475842,
  75.1412215115998,
  6.692172586203996,
  9.532834860079397,
  17.65779104136517,
  10.134483471285797,
  33.288648044117146,
  49.7401541582719,
  70.78357789743387,
  58.97244939288552,
  24.44434605937158,
  10.774230155060096,
  24.606679934250533,
  53.82644829836374,
  19.10193410484826,
  19.30129613358728,
  112.95793666276742,
  24.391004589630647,
  6.788772329622046,
  6.02194450313363,
  16.57468884599739,
  13.162001222528895,
  43.01395263717097,
  56.934674326340755,
  61.530431792091704,
  30.914667655355565,
  5.749759901885741,
  76.59663683888422,
  66.71712438683278,
  61.733117101230846,
  11.210239325134118,
  49.44644572378995,
  97.12039241093505,
  7.744419464684574,
  25.514329586087065,
  33.89011253703843,
  6.575687430682784,
  44.95926810350784,
  12.782053040515377,
  10.243520371656171,
  44.517614570318756,
  15.670828197623395,
  11.283871159255295,
  17.29485637331716,
  26.919154686382935,
  7.537152735182038,
  27.46338579553071,
  8.21633449262243,
  32.937546475453416,
  81.8981621830181,
  31.71969149728599,
  6.7938489032946645,
  41.62985225981125,
  68.49496477688699,
  15.162683315268122,
  56.82347446883216,
  82.81656059630382,
  8.38528431605947,
  24.173065743677864,
  8.926613288716318,
  62.28803429960712,
  15.528899896743013,
  107.68270108258517,
  13.99138074436676,
  11.253892986488621,
  7.090151996078676,
  5.7487690697341804,
  62.33444786312417,
  73.35612345514028,
  10.335069186811978,
  11.128833115376814,
  31.333278007294936,
  134.01825014619058,
  67.85750438862682,
  5.51792314982081,
  20.71830409476883,
  12.710985922562124,
  26.305609727064542,
  12.112982294674401,
  12.243149633152797,
  7.0535618443819565,
  66.29653733902975,
  5.422247158345862,
  12.14203852305835,
  17.32883917053613,
  79.89560256017333,
  59.03631834235209,
  73.70413061140978,
  13.200710890051761,
  52.57594944317344,
  46.88787825789264,
  16.49313847040712,
  69.19079367209537,
  14.610606578628262,
  14.178215006666376,
  7.609679770537984,
  13.301677384614203,
  27.578747922281966,
  34.052634276494004,
  118.6752812869941,
  9.309823343475076,
  49.79472436285974,
  31.47704953524304,
  5.800240493980301,
  38.02178365545685,
  13.50073392584585,
  15.491661333359737,
  5.4828298897342655,
  13.667604492566259,
  54.52340933391401,
  14.094501149209053,
  7.149846706466653,
  49.80672742562944,
  17.031851689108564,
  28.485883340528293,
  23.190879965308046,
  7.769373155038589,
  57.93424693527358,
  5.0296879889225155,
  6.662619582753854,
  21.79420281935949,
  27.73946566493462,
  32.87416606693397,
  19.76534733876916,
  8.72034863449153,
  27.548578154008077,
  89.31116838563068,
  77.67292184755682,
  9.561728053880646,
  134.04724440122774,
  21.740207863373623,
  78.75155044245611,
  59.92702853516076,
  60.50347011890885,
  15.412632537041763,
  42.773861186058944,
  52.21420557881477,
  65.78423153236862,
  56.84784241702165,
  73.84831832216777,
  15.228182340803102,
  64.98077085642191,
  59.472786340663006,
  72.09541532948903,
  6.469537706239994,
  107.63944718658215,
  8.104249193335587,
  9.432819297430282,
  26.63704263553428,
  16.634688171301605,
  58.81173876342052,
  19.330006706444088,
  49.03621683813502,
  88.45617576436945,
  6.702768479715715,
  15.899174987695567,
  20.534197318884637,
  29.907794038766482,
  22.939811804525046,
  31.887365292795458,
  18.533632454197363,
  7.238168359666823,
  13.911184533596082,
  80.1291749792731,
  16.152263374130698,
  23.717018115489683,
  19.491003333546395,
  8.54203346361912,
  9.969845491210988,
  21.100583907746593,
  14.189514945622872,
  34.353925960511,
  67.8497366519087,
  15.196492193116205,
  22.931144655572446,
  65.1717524129082,
  62.08620741785714,
  20.65556304868495,
  35.79397965125777,
  19.33862623115597,
  20.811494608025647,
  22.531830227881436,
  20.1658498638171,
  20.446786759593312,
  15.526938269108753,
  33.938962979493624,
  22.83330049801159,
  7.527819826482967,
  5.498495688184827,
  6.8056648870507885,
  23.248367037366894,
  25.975902528740075,
  98.14213107866327,
  32.70506241924527,
  6.239619122190523,
  7.847273622847176,
  26.77875008615984,
  12.461448354178815,
  5.682238218745671,
  37.30608830817433,
  24.987417948486147,
  97.4656852580693,
  28.162217617358536,
  30.195245635323847,
  86.49152044377901,
  52.54330832051091,
  38.88855497275651,
  5.416927205768996,
  5.894614684673442,
  56.25117231089497,
  100.0005722098493,
  8.040129226185652,
  41.83400779755621,
  30.66466409926123,
  41.98871704045455,
  7.874984535563118,
  87.73126410760747,
  10.305641502717918,
  5.333447028265372,
  ...])


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);

([4058395.9473992097,
  4060026.018989019,
  4060087.6590087973,
  4060733.0018701917,
  4067589.718141056,
  4091101.0414350736,
  4093704.9250939516,
  4108451.400876145,
  4206046.550172074,
  4250562.457233741,
  4268299.61218213,
  4272600.0,
  4303651.270342577,
  4331018.440179262,
  4345726.551239113,
  4367951.5625,
  4398028.082776736,
  4398368.124144356,
  4417215.625,
  4417539.795916874,
  4421358.650846948,
  4422241.0915412055,
  4425934.256880797,
  4426133.487400634,
  4427940.131142011,
  4430047.500947794,
  4435465.625,
  4437095.65670832,
  4439602.641088732,
  4439807.8125,
  4440729.327690143,
  4442235.674603774,
  4442953.269861287,
  4444751.264032289,
  4449254.509094926,
  4449818.309263316,
  4450020.673402786,
  4450980.815845174,
  4451927.220701105,
  4452876.0919550145,
  4453281.25,
  4454006.504594448,
  4454280.207902197,
  4461818.24633656,
  4465815.255614255,
  4466109.339370481,
  4466637.102220526,
  4466768.446280342,
  4469067.614614942,
  4473301.5625,
  4473308.385699948,
  4479689.401349567,
  4479903.125,
  4481046.26235373,
  4484370.384726033,
  4486712.131388081,
  4487059.133053035,
  4489202.278805412,
  4489695.870787421,
  4490204.4339052895,
  4490436.135833555,
  4490928.125,
  4491091.231063606,
  4491543.311524892,
  4491563.988257827,
  4491906.163649908,
  4492025.0,
  4492075.578621169,
  4492383.127338748,
  4492433.395410472,
  4493296.156344952,
  4493366.592149457,
  4494129.258568844,
  4494257.773892421,
  4495294.884349112,
  4495362.379707924,
  4495445.3125,
  4495553.405183439,
  4495779.339729513,
  4497276.5625,
  4498067.718884249,
  4499251.128879167,
  4513850.0,
  4524572.663757419,
  4536234.2025497835,
  4537582.684586262,
  4537737.5,
  4538120.003327147,
  4547213.413784645,
  4555812.177359121,
  4563180.772355592,
  4572717.020130007,
  4577495.78719629,
  4592162.262450689,
  4603246.875,
  4701303.705250384,
  4702512.5,
  4716216.368987776,
  4716258.474325922,
  4720676.34261057,
  4721141.53488506,
  4725910.524929119,
  4747087.273021371,
  4760863.335308492,
  4760929.341432927,
  4798973.871418548,
  4800510.996699598,
  4806223.845181185,
  4807534.558118341,
  4811225.129610959,
  4811240.156239418,
  4816432.3946231175,
  4818143.75,
  4819990.218247255,
  4820010.023817134,
  4820102.787859314,
  4821681.8773253625,
  4823638.86729793,
  4824493.258737822,
  4826662.5,
  4827337.166319987,
  4831331.697456205,
  4831928.125,
  4833310.9375,
  4835122.198078526,
  4836485.9375,
  4849453.526052833,
  4849526.782333742,
  4857198.347953565,
  4857525.4342920715,
  4859777.89471848,
  4860456.28132149,
  4875534.670223309,
  4883921.875,
  4898755.950978317,
  4898759.375,
  4908917.1875,
  4911893.75,
  4918037.018939183,
  4918914.203423979,
  4919070.422508975,
  4926413.650696672,
  4928237.4488075785,
  4928244.074924708,
  4929081.666643676,
  4944132.4177856,
  4944312.5,
  4944695.286285937,
  4946395.3125,
  4959439.0625,
  4959473.765413343,
  4959606.484174399,
  4961378.3662916785,
  4967170.39451478,
  4968651.80471379,
  4974020.3125,
  4980759.852182867,
  4984176.374710454,
  4987523.4375,
  4992028.051088325,
  4995196.925274037,
  4999439.430257492,
  5002664.268985251,
  5005512.476145313,
  5006680.457388186,
  5006884.125662349,
  5014713.21562847,
  5015184.895209279,
  5017491.486757728,
  5017515.928752829,
  5017685.792787721,
  5018531.25,
  5022343.577694746,
  5024736.054831024,
  5024830.483063974,
  5026746.875,
  5031640.625,
  5034802.6788636,
  5046621.875,
  5060129.174591148,
  5074484.044804479,
  5092254.497243437,
  5092750.9126552725,
  5095234.234636919,
  5096026.736828672,
  5104025.0,
  5104679.528008149,
  5104971.194070167,
  5105132.070573594,
  5106471.387088759,
  5108382.090211779,
  5112887.5,
  5116884.375,
  5119134.136860472,
  5121005.71926579,
  5121646.332118217,
  5122386.31368521,
  5125648.767580305,
  5128867.946735332,
  5143401.700838805,
  5151529.054444768,
  5156410.465139631,
  5169746.875,
  5170092.069051717,
  5170889.268226771,
  5177165.625,
  5178122.4499936635,
  5181475.725692805,
  5182100.141754304,
  5193355.9955531815,
  5194306.073634473,
  5195430.940267287,
  5211275.86256045,
  5212841.054378083,
  5213587.5,
  5217468.14025839,
  5226081.114607709,
  5227054.473767454,
  5238583.623139606,
  5243090.283596295,
  5246837.5,
  5247640.625,
  5250350.0,
  5253340.043435801,
  5254382.047936612,
  5255326.5625,
  5257967.730709599,
  5257974.343156729,
  5257997.249703917,
  5258237.568074914,
  5259593.876562086,
  5260378.801214833,
  5261129.243137396,
  5267012.678115029,
  5268337.832579469,
  5273141.9841020955,
  5275804.6875,
  5278620.958756022,
  5284608.890727836,
  5285630.970330582,
  5288140.625,
  5289123.952084735,
  5293834.375,
  5294268.205255693,
  5295535.9375,
  5300797.122617697,
  5303709.076442548,
  5305217.032803907,
  5319737.5,
  5327357.8125,
  5341228.184183436,
  5348218.641009532,
  5353105.507852968,
  5355141.708447462,
  5355527.615107827,
  5361517.1875,
  5362053.471681184,
  5364714.0625,
  5381898.4375,
  5388089.60229357,
  5389306.648236087,
  5391079.8691762695,
  5407904.543814511,
  5412802.665638302,
  5414523.413962483,
  5418392.971045173,
  5418960.9375,
  5419519.394620384,
  5422136.4520665,
  5425232.610003391,
  5429916.640101899,
  5431234.4456326915,
  5432475.527991185,
  5437464.0625,
  5437500.059891494,
  5438951.6425110735,
  5442138.493110198,
  5444690.5704559935,
  5446190.662622232,
  5457907.878291463,
  5459924.6855038395,
  5459943.019071572,
  5462848.0370886065,
  5472344.370775469,
  5475849.769519394,
  5478805.010868622,
  5486236.43487121,
  5486262.962065689,
  5492379.6875,
  5494482.198006592,
  5495083.066484467,
  5496264.971202043,
  5503190.948001255,
  5509080.234479965,
  5515071.008910299,
  5518912.329769276,
  5518918.48177157,
  5524315.73795556,
  5539388.570630715,
  5539807.504592904,
  5548754.607377943,
  5558859.375,
  5565993.75,
  5567248.8343074545,
  5573056.9690317465,
  5574256.25,
  5591291.164613225,
  5591417.218759151,
  5592885.3693343485,
  5599668.618833096,
  5604520.247738821,
  5620576.5625,
  5628640.120021684,
  5631542.700563727,
  5636095.751400584,
  5640054.494733911,
  5640888.738888973,
  5644879.129945209,
  5649474.941696839,
  5650738.689310611,
  5652883.666548948,
  5655315.110688368,
  5655923.663989645,
  5704044.936618352,
  5710923.64222242,
  5716568.75,
  5716614.518449269,
  5734501.5625,
  5734827.802443041,
  5736131.325241272,
  5737520.3125,
  5789520.309858899,
  5803591.5252524,
  5807154.6875,
  5812817.1875,
  5813071.881070419,
  5814355.879863644,
  5815514.926726282,
  5816201.074097964,
  5817378.6842024755,
  5817398.420149213,
  5824835.937111971,
  5826279.261918966,
  5826892.759513174,
  5829613.963577448,
  5840489.588257939,
  5843451.5625,
  5849757.337627814,
  5862227.6458532,
  5862240.625,
  5935388.581519152,
  5942456.722358431,
  5950566.838115654,
  5975075.225869957,
  5991885.272389351,
  5993566.180289998,
  6002152.288535581,
  6006070.3125,
  6046249.9974734895,
  6049288.381388192,
  6050755.339188173,
  6052953.127641535,
  6060717.859932163,
  6061163.192541039,
  6067421.411815609,
  6072566.803226648,
  6078982.285301995,
  6099967.168127066,
  6110949.634173989,
  6113464.39287403,
  6116445.3125,
  6130991.970899931,
  6146787.042551275,
  6180510.574770822,
  6197851.774440062,
  6214048.2440621555,
  6338995.68106692,
  6372721.760473173,
  6372727.838545889,
  6418358.533994809,
  6436936.151694923,
  6498440.625,
  6498502.91009094,
  6508317.894019929,
  6513241.625224908,
  6514555.019436423,
  6519856.233249902,
  6730451.785474549,
  6764922.522439551,
  6842744.540604781,
  6849460.72030619,
  6882182.123269204,
  6890481.050721314,
  6905827.07851473,
  6991876.214354682,
  6991899.069833967,
  6996578.125,
  6996630.711245901,
  7013123.525870488,
  7082061.4133147225,
  7172497.743747908,
  7179017.67796788,
  7238484.700227356,
  7259785.9375,
  7259792.696133997,
  7282212.568756678,
  7283937.464443134,
  7289753.125,
  7294455.104201472,
  7294472.172062835,
  7294477.971005014,
  7321491.145029033,
  7325573.898291035,
  7342923.4375,
  7344662.5,
  7393239.0625,
  7396370.163801907,
  7399027.853444232,
  7424586.389465533,
  7429243.674931523,
  7432946.290287535,
  7438821.832992807,
  7439976.164121989,
  7450269.594876429,
  7461450.177434593,
  7462879.003195114,
  7475425.065965847,
  7497679.6875,
  7516080.476551939,
  7516225.1480371645,
  7517240.402573676,
  7521027.892374241,
  7523640.669238933,
  7526004.19804659,
  7531212.5,
  7533050.491446519,
  7539217.721832455,
  7555328.302103541,
  7592120.713684104,
  7598867.1875,
  7617775.0,
  7617790.148944338,
  7672859.375,
  7673026.5625,
  7673254.590215365,
  7704863.791310354,
  7740477.34024542,
  7755738.722770873,
  7757451.5625,
  7770139.400655701,
  7779854.3189676525,
  7801818.75,
  7840888.153697266,
  7884581.180283015,
  7886780.765846308,
  7889679.559106866,
  7908982.8125,
  7922804.32943369,
  7923644.120407755,
  7941045.291317091,
  7963962.5,
  7984470.213588591,
  7984474.171998058,
  7992488.179239468,
  7998009.375,
  7998833.028918152,
  8006901.980478446,
  8032687.778434409,
  8039960.950711479,
  8042141.711527116,
  8048275.0,
  8050297.76102358,
  8051147.557781336,
  8051728.2154932795,
  8054710.301153258,
  8063893.3671263,
  8068631.541235426,
  8075579.6875,
  8109527.573513529,
  8115603.125,
  8115652.740415538,
  8117923.4375,
  8118739.540334585,
  8127108.4908996085,
  8132765.625,
  8143703.125,
  8149941.397135564,
  8153465.301149871,
  8153537.5,
  8156887.5,
  8162732.05870285,
  8167398.6786036175,
  8184947.527751315,
  8185997.929161987,
  8237051.372719883,
  8261458.579295403,
  8285630.395117875,
  8334046.853252081,
  8427655.620852761,
  8428698.4375,
  8441840.795805376,
  8449584.415679984,
  8477699.734765328,
  8481186.265994716,
  8487589.82746625,
  8488104.6875,
  8491911.379313339,
  8495791.225316914,
  8497124.367557218,
  8506632.8125,
  8507527.940866072,
  8513978.194333857,
  8514866.678597996,
  8517544.009728137,
  8522112.540685691,
  8529259.66318902,
  8529327.632203922,
  8531224.612780858,
  8532168.680644542,
  8532173.538163513,
  8534878.125,
  8573402.545380825,
  8574995.163159683,
  8577371.854869675,
  8616933.98474675,
  8650539.667074053,
  8658889.110917853,
  8660293.75,
  8662245.256791381,
  8663793.853981638,
  8752942.177751748,
  8790140.961818138,
  8795505.325474916,
  8797538.159634426,
  8813296.875,
  8817162.5,
  8845146.698409433,
  8892307.357255243,
  8919092.586869318,
  8919095.088138876,
  8920258.453649402,
  8949215.105601043,
  8950671.875,
  8954979.32015544,
  8981335.9375,
  8981336.741473338,
  8982788.521393308,
  8987329.284782792,
  8996218.148732843,
  9006778.954366,
  9006975.0,
  9009145.675894793,
  9021881.800909799,
  9023547.837282006,
  9026324.23747589,
  9027238.509823237,
  9042662.433696637,
  9072085.9375,
  9086088.943594897,
  9086111.14991886,
  9086771.875,
  9088536.28164125,
  9088954.366158582,
  9107896.242131144,
  9113451.5625,
  9119548.547419231,
  9134041.460460778,
  9134643.267969096,
  9134817.355963118,
  9158124.590876998,
  9159253.877360087,
  9179017.1875,
  9188046.942759633,
  9193668.491663987,
  9202620.087078568,
  9209118.686614357,
  9213317.888568826,
  9216685.188703442,
  9218238.577670297,
  9230104.053486507,
  9230763.660458002,
  9240091.964270063,
  9241722.340206167,
  9255553.125,
  9255576.913420584,
  9276212.149131704,
  9288080.097556809,
  9298565.105099294,
  9300202.419295441,
  9301863.763519485,
  9310560.9375,
  9317386.540796056,
  9324514.603907267,
  9355432.74129726,
  9360840.601469038,
  9361650.901400553,
  9361846.079117393,
  9363891.797286503,
  9374369.437904177,
  9380473.116313387,
  9381325.539576715,
  9396615.535032716,
  9396800.529720044,
  9403862.5,
  9424998.650251927,
  9432482.106387945,
  9434217.935800845,
  9436592.382370334,
  9467616.132655915,
  9473691.256190669,
  9473754.564808654,
  9496006.25,
  9515107.496723024,
  9536596.400824582,
  9550303.394353362,
  9557407.29599924,
  9563343.75,
  9563419.541933797,
  9571153.125,
  9577278.763372326,
  9603029.278504146,
  9607867.79436787,
  9609583.16883727,
  9610315.119810415,
  9633493.75,
  9657723.4375,
  9660248.4375,
  9671674.593290605,
  9676827.343132004,
  9684862.341701461,
  9685476.51390591,
  9707676.394281473,
  9707676.5625,
  9707735.59098163,
  9707747.642093796,
  9708068.671572866,
  9712525.907476317,
  9716228.319865068,
  9724899.883324191,
  9727131.25,
  9734382.8125,
  9752481.25,
  9756060.159241755,
  9770177.513187397,
  9779153.125,
  9795559.375,
  9795641.966497269,
  9795930.35623142,
  9796336.608937614,
  9798030.470066678,
  9799232.076259887,
  9829035.09763328,
  9842002.210838811,
  9849100.575223634,
  9861709.296515854,
  9862805.20328753,
  9862883.484386506,
  9870877.679320175,
  9873694.400472168,
  9893684.375,
  9897528.39718787,
  9928007.946834138,
  9959830.601031788,
  9985282.18274011,
  10017080.548214613,
  10018134.358285338,
  10018558.426383989,
  10037154.6875,
  10038523.087368159,
  10083540.257047188,
  10097459.375,
  10116669.803720389,
  10159026.476266287,
  10184578.216913655,
  10211260.571723709,
  10211319.44342461,
  10218032.29326432,
  10227009.375,
  10259999.43897688,
  10261092.13960186,
  10282793.75,
  10317592.918417007,
  10336160.229080983,
  10350645.676323883,
  10405544.857966945,
  10405562.483878668,
  10424861.295108233,
  10446723.4375,
  10446726.008566998,
  10453998.758411126,
  10454923.99069876,
  10463337.5,
  10467536.521622196,
  10571400.632009886,
  10582924.340001768,
  10604026.449834472,
  10618337.9348853,
  10621013.735479012,
  10649048.4375,
  10680232.094289372,
  10711739.820933042,
  10711752.9742811,
  10737873.374221817,
  10762556.25,
  10765828.125,
  10765837.335701901,
  10772287.5,
  10798870.563361138,
  10811082.617697366,
  10818604.71415179,
  10845964.04320997,
  10875756.220624799,
  10887832.624102127,
  10937545.3125,
  10946828.520357814,
  10989099.658797156,
  10990577.181212705,
  11013657.64090204,
  11013831.78662705,
  11016112.610822449,
  11017002.543135572,
  11017373.97872498,
  11043627.232827127,
  11059843.221275238,
  11066099.21199593,
  11071705.935710201,
  11074018.730765011,
  11086304.6875,
  11086306.215881925,
  11133465.172426222,
  11135562.562212083,
  11157289.599109361,
  11229967.637518024,
  11270908.297544803,
  11317002.405788455,
  11318253.125,
  11337578.125,
  11340660.23450796,
  11399590.625,
  11400750.250400776,
  11439139.631981844,
  11460066.885313751,
  11467634.738311373,
  11481327.218473986,
  11491445.3125,
  11526957.612984862,
  11591705.598503174,
  11600530.571673121,
  11619666.75273813,
  11659485.9601625,
  11660989.3163692,
  11661050.95041705,
  11671798.04813325,
  11693107.327246029,
  11699438.57279432,
  11711719.810300613,
  11718297.98745786,
  11728101.029226461,
  11735106.018063491,
  11757080.751146285,
  11779938.047465732,
  11780056.395400513,
  11787828.357866848,
  11790910.9375,
  11801426.389791984,
  11808574.170653634,
  11818832.680734592,
  11837912.199784853,
  11845718.151443204,
  11845818.875983926,
  11856377.87929889,
  11868801.5625,
  11887070.464099953,
  11896754.905244475,
  11897069.821081903,
  11899185.831860572,
  11915875.6354404,
  11918398.748800043,
  11954246.73526201,
  11958634.375,
  11960878.217760354,
  11961489.119627262,
  11962796.62471885,
  11972148.069371527,
  12016539.291489484,
  12046486.096399067,
  12069386.755715907,
  12095867.1875,
  12103562.5,
  12114941.676699314,
  12120543.61219302,
  12124435.689926757,
  12141985.698939987,
  12158142.595422488,
  12158314.0625,
  12159916.3146793,
  12170971.123101493,
  12171155.854858952,
  12175838.811023612,
  12181418.875251355,
  12196857.151375368,
  12208893.412692524,
  12218649.438989291,
  12220844.578640537,
  12229719.584925678,
  12231284.67237216,
  12231288.249366729,
  12246252.21761978,
  12250918.75,
  12252832.8125,
  12262679.021256542,
  12268663.308686862,
  12294291.639968183,
  12295004.09969554,
  12322506.624176271,
  12340094.691654261,
  12348337.678343313,
  12349847.417814808,
  12350737.163806148,
  12355325.851079108,
  12364399.349654198,
  12369082.155875335,
  12380876.74153315,
  12383017.285163369,
  12390791.130299026,
  12391465.538242511,
  12394967.00101242,
  12399858.694039267,
  12405582.67726503,
  12409104.6875,
  12413253.250435356,
  12415035.9375,
  12415989.212607004,
  12419561.829123696,
  12426664.845572049,
  12426689.1193421,
  12426863.704804556,
  12474839.692704622,
  12477600.182105903,
  12480788.794858325,
  12484208.854057485,
  12496531.25,
  12502364.20852105,
  12508920.3125,
  12516202.851191733,
  12519187.579257362,
  12532157.692077484,
  12532220.952973774,
  12542210.826877464,
  12544696.875,
  12544736.925888687,
  12553978.12572046,
  12563290.625,
  12566390.057727331,
  12570124.787743438,
  12576524.683683522,
  12581366.606156906,
  12600820.031952415,
  12610365.501751434,
  12623502.112985112,
  12624708.425451366,
  12642590.360282928,
  12653437.201314231,
  12664803.733245693,
  12692806.814609583,
  12697897.38625491,
  12749842.055068506,
  12752396.389417397,
  12756575.031000502,
  12770913.516089551,
  12783490.625,
  12786498.4375,
  12801509.730129343,
  12929907.8125,
  12940611.806312468,
  12991198.221709438,
  12994160.955276368,
  13000919.803578135,
  13008142.137823468,
  13012584.375,
  13016314.02446274,
  13024631.224367807,
  13042339.0625,
  13055736.498408454,
  13057926.375063015,
  13071954.449952472,
  13086687.062567644,
  13106178.262220357,
  13106250.481729329,
  13113127.520714475,
  13113940.625,
  13117201.32098846,
  13136795.41942934,
  13138259.375,
  13296039.520626068,
  13302370.310512222,
  13389365.279868992,
  13389419.187110895,
  13389584.375,
  13389636.784429995,
  13389641.660245012,
  13389715.360373778,
  13389850.945397085,
  13389905.423725294,
  13390073.33661942,
  13390360.11410648,
  13390398.488365114,
  13390484.218031,
  13390523.4375,
  13390542.447887743,
  13390568.75,
  13390579.211919654,
  13390584.176648885,
  13390602.41223064,
  13390606.25,
  13390654.6331535,
  13390672.26680381,
  13390704.6875,
  13390707.201783177,
  13390739.064351501,
  13390741.58261399,
  13390743.823232416,
  13390773.390633427,
  13390793.75,
  13390829.6875,
  13390834.262100589,
  13390842.785015289,
  13390844.951030638,
  13390845.430053363,
  13390858.8513167,
  13390879.817112098,
  13390880.980367037,
  13390883.626877155,
  13390885.30307264,
  13390895.3125,
  13390905.937956551,
  13390928.355445106,
  13390929.871898992,
  13390931.189320339,
  13390936.017930975,
  13390944.677398736,
  13390947.08706832,
  13390956.676150808,
  13390960.305471532,
  13390982.350676358,
  13390990.91010586,
  13391014.541610824,
  13391019.585284427,
  13391025.453728942,
  13391028.79448513,
  13391036.959730806,
  13391037.28764785,
  13391064.905595476,
  13391067.1875,
  13391070.377827039,
  13391070.72219548,
  13391089.0625,
  13391103.125,
  13391105.66173189,
  13391112.095140403,
  13391115.870724434,
  13391130.678845419,
  13391132.739629205,
  13391157.168293567,
  13391157.200799927,
  13391164.208058914,
  13391170.233093217,
  13391177.749614453,
  13391177.911553161,
  13391180.516190207,
  13391187.70756402,
  13391201.22212618,
  13391202.981287066,
  13391215.625,
  13391222.685367629,
  13391229.466047794,
  13391235.002824588,
  13391241.07679285,
  13391242.900718246,
  13391254.295208003,
  13391279.6875,
  13391281.047642402,
  13391284.217609024,
  13391285.092327634,
  13391296.586656045,
  13391299.91834046,
  13391305.405653704,
  13391310.9375,
  13391311.4119569,
  13391316.658387128,
  13391321.120283596,
  13391336.119462902,
  13391337.002952922,
  13391339.0625,
  13391342.1875,
  13391350.0,
  13391352.2561409,
  13391362.773572285,
  13391368.151638698,
  13391376.313080756,
  ...],
 [18.076898721089222,
  5.50727114120692,
  5.622901873922908,
  15.716013005300324,
  73.02540034762401,
  29.48626148229035,
  75.97330044275922,
  14.359294863766001,
  59.85080910543458,
  14.780971993628384,
  16.420999776100746,
  63.588562035782445,
  23.85143932008154,
  63.84996808710622,
  6.761260500272808,
  62.65705311478518,
  23.870510698409873,
  34.44249175978287,
  70.61716671687594,
  10.039455047117219,
  109.50343775166861,
  25.67211331273575,
  9.233484622832423,
  17.504475639376913,
  13.342899092765814,
  32.86726025649426,
  53.30305197778557,
  6.311688667724713,
  18.899747836576804,
  42.06728637698503,
  23.015679531374058,
  31.846436339262453,
  21.90111065897707,
  133.57996330673993,
  81.77591423936033,
  33.0499435365077,
  120.05389012028945,
  17.978985299022167,
  13.503573668041891,
  57.38334719139384,
  58.40003638057999,
  29.110744251570825,
  8.582382482023654,
  10.422228330126794,
  13.698592291984065,
  76.44624445143987,
  16.37286341042747,
  23.703344173371978,
  8.526140663141899,
  69.22437827483722,
  17.693145544237733,
  16.41214529254383,
  82.34991856800713,
  10.288441249006329,
  19.976644926374036,
  74.46696341059366,
  10.769476391797873,
  61.890541739208885,
  77.94466738595311,
  62.54602541868663,
  25.185642085458078,
  49.957061139188546,
  8.635373199428733,
  8.98626555480635,
  11.013611097853092,
  8.241435780707228,
  41.38624730501175,
  12.171077857505564,
  16.294640063410935,
  67.16287006864164,
  47.019235973406964,
  20.59189096566672,
  22.232607770776326,
  74.54736299281623,
  7.4553910100645115,
  14.631210830987136,
  119.24371491324393,
  23.92796287588991,
  13.763243061673272,
  58.62474695733647,
  6.145158477104013,
  8.98982521759861,
  45.05505253156874,
  25.277448291374235,
  16.566422226283414,
  26.229566750407315,
  83.94526906408998,
  58.34172955695877,
  70.0346087545195,
  13.839536708390918,
  26.568269319542857,
  58.71919539238401,
  17.123010969049236,
  14.107304072088265,
  51.369054295905315,
  9.875479313950237,
  102.40583567001104,
  7.896479377913899,
  5.311977931652329,
  10.800561915960545,
  8.83447798182812,
  7.0170642311377485,
  5.334203652886394,
  16.112518981799944,
  5.330201447582425,
  16.90098904478785,
  5.818373553404986,
  100.03440442112942,
  8.385846879544347,
  15.459662707997085,
  27.01222128652548,
  31.59256999919026,
  41.60949215360659,
  19.244490548456422,
  12.319875160178334,
  23.287637530409913,
  9.92486383698255,
  25.188527461014257,
  51.87800871513513,
  71.68745296740163,
  31.33286223723881,
  16.97383740374993,
  65.01306727089398,
  61.87642727912856,
  58.314519296539395,
  34.49478647399486,
  16.727579498229822,
  5.0452681011021285,
  26.871055650333094,
  18.82578246219527,
  24.684113401585506,
  7.614605551662513,
  16.200328941993675,
  47.9813458265428,
  8.134535930543644,
  80.86723142674997,
  28.874800497406767,
  39.554791596585815,
  5.325703360518529,
  53.48000305620607,
  21.062576786087646,
  55.752596173261686,
  27.551028903103255,
  122.45188875781241,
  36.16764711791174,
  78.13219661751448,
  44.55823460372638,
  11.086978264855412,
  63.762600267344425,
  35.99321029431933,
  7.210403164407992,
  72.75757449668892,
  7.692904120959393,
  7.143179039322057,
  7.186611950061788,
  58.89249308968343,
  90.41773516463229,
  31.24139651299254,
  77.95736307456147,
  9.269678959961503,
  15.13665656395754,
  5.972084959303349,
  25.62163549230851,
  28.061295226044994,
  8.740489858421746,
  44.60957292094044,
  23.886479891099718,
  12.051423242249324,
  34.10054284258352,
  16.241155492213206,
  32.056927672990014,
  63.655849783674576,
  6.729587887492263,
  18.336215153590217,
  5.87528756576145,
  36.5120992346873,
  56.68783637739028,
  22.04779028062435,
  32.16682877366449,
  21.365286879448984,
  6.699328672433609,
  9.175550011897458,
  20.1181149091368,
  10.915176168463566,
  22.022455222036065,
  45.637478915393515,
  84.54188036366187,
  18.211885419577566,
  19.377364634940214,
  61.60349070491236,
  33.11731876001318,
  60.925414655506486,
  100.6286392162271,
  47.037289702958454,
  30.14081384162291,
  114.5071286024957,
  29.34120972947096,
  16.368963154944932,
  10.068056536320867,
  26.690575337048514,
  6.964423303605153,
  53.14706649121055,
  35.276730064791906,
  9.233217184319106,
  9.511633353880397,
  33.993024254293786,
  61.56095729496239,
  18.683481527119753,
  13.315971346517882,
  24.350599120032797,
  56.743060525297025,
  11.661035408747022,
  98.28969176973031,
  9.722924299480121,
  30.326050259703884,
  20.46403166697353,
  19.26078551428087,
  56.39733331010342,
  19.301585401541058,
  62.283113392040526,
  68.36268872208923,
  81.28018845118726,
  61.64846928973128,
  13.108077226201807,
  7.919803749557075,
  61.93125647197509,
  9.837230606037823,
  12.91607886616985,
  16.59197376822173,
  15.20748662371704,
  48.96645802299165,
  84.79926549579322,
  17.443651248633113,
  10.507392308646061,
  9.629394491849592,
  43.899707533957056,
  76.57938428602517,
  6.5934052938768835,
  46.69722485010692,
  36.26383349733731,
  56.75762698024302,
  5.141654264322371,
  52.92015052736643,
  13.205149926593519,
  45.572929825126344,
  18.269568019135562,
  13.9138220803507,
  17.832138253766768,
  79.4009406302592,
  102.28300426910353,
  7.137096575455102,
  90.71704826850039,
  30.71721546310927,
  16.408591003746196,
  21.3949848600893,
  80.98871389750848,
  5.353943200641596,
  35.212229274483406,
  71.25566926041466,
  17.494178336699196,
  11.81298560442465,
  100.1165529054008,
  25.97633805838943,
  13.438740012369168,
  28.06734696375144,
  12.62189692819996,
  32.20783770136508,
  79.32089402307521,
  11.411461944243317,
  5.602938913312647,
  13.198081624024361,
  9.3918498430187,
  12.067152738487827,
  47.715037358789395,
  7.6250440067757985,
  31.566370382739002,
  10.34083258169008,
  62.36063255313266,
  16.043551730280356,
  14.669407490840648,
  9.07892055212517,
  19.46216046196041,
  38.469219857515604,
  123.88762230511485,
  14.130228392982087,
  5.727651826563023,
  8.568357454444532,
  9.75525911626705,
  44.067578145657166,
  20.42225426464529,
  8.42561602998256,
  5.434387501892274,
  5.632166804888571,
  8.598683347964556,
  68.0820370822853,
  10.871657162460481,
  64.56743555032034,
  6.786268755311105,
  6.412655017878963,
  19.956789446673646,
  33.37674411547328,
  35.191994063602806,
  126.84478717996551,
  14.872992962386054,
  18.637165121135,
  43.96189496397936,
  15.276984496210073,
  13.615890034628238,
  114.06872911742956,
  84.1072744106625,
  14.700284756582255,
  44.06648424977686,
  21.443582212233682,
  12.037036267409103,
  16.927700326294843,
  29.172214529015413,
  48.173481923287554,
  13.17113332617329,
  9.282586361495758,
  22.858799809269293,
  7.944389972972735,
  23.903953147509508,
  57.456774449775324,
  10.586960351614271,
  6.293414761101699,
  54.76982540315711,
  6.561022196877147,
  73.75300154389905,
  60.469446683021935,
  121.89739512531574,
  96.82165440377297,
  11.123581099805984,
  20.014116196631385,
  71.99870486429504,
  76.47419300644545,
  14.414449500996593,
  24.63844588720952,
  5.576547669644813,
  6.998723149243386,
  17.609049265495727,
  22.58152346512012,
  9.33107509537669,
  33.68925670755987,
  6.88334294411913,
  67.73825143821708,
  9.819392308145696,
  47.61769029151014,
  17.679656885352443,
  13.383523197251426,
  64.46081532862144,
  13.378438592831577,
  75.85125806474224,
  29.60503069896464,
  7.687026267043942,
  19.990303811515947,
  12.122842383113472,
  12.298320105454067,
  37.94917221602093,
  64.89227037208842,
  86.59906569486586,
  42.64319753326859,
  14.95158728395153,
  18.321322887552604,
  18.45588898861202,
  21.868388971141666,
  96.8288163240754,
  57.9367466917763,
  14.868179448723225,
  30.60502131366892,
  16.77177630783777,
  29.095512781889063,
  24.877911094937456,
  13.444114546042021,
  10.6044236893331,
  129.12950480218956,
  9.17302661902598,
  37.90175446563765,
  26.449201519956205,
  86.46793951857813,
  18.65425666968109,
  9.519331124619082,
  51.85550627055395,
  5.334611074670078,
  18.55097009162465,
  10.349538224492507,
  21.863015552770896,
  28.19759770743701,
  60.981310727733145,
  58.74254353458418,
  49.64063108428971,
  14.173610842714583,
  5.577019191978017,
  14.232717275471007,
  5.024338982286312,
  10.62390201437485,
  5.489577729933411,
  140.09227858737012,
  5.507492198544243,
  56.66542232370168,
  41.28575634447445,
  24.15143429820693,
  14.326633061076608,
  11.6771884259487,
  38.77905442790652,
  30.106560054821546,
  15.210217852618179,
  45.44745285216767,
  59.20147695135275,
  11.848131259352254,
  16.209110133326227,
  14.38533496824577,
  59.920070228196636,
  11.933399599824007,
  69.24845741011586,
  52.658677623818434,
  67.73638846980084,
  10.902973343875088,
  7.50788727762857,
  21.026598496240915,
  33.890097766147825,
  20.687717251093606,
  27.720007454764115,
  22.570493349996447,
  53.10950853548685,
  35.2662490604299,
  33.46895809713788,
  15.575974131079338,
  62.961356240549975,
  14.112139797628306,
  7.160917562711335,
  14.518740892624688,
  24.651273635462907,
  65.83868096423231,
  31.722453341164304,
  45.113634673889244,
  23.023280278790423,
  17.462214489753983,
  5.469419714357774,
  34.82826342880284,
  74.66623397179217,
  36.25081420874225,
  13.392105832412527,
  36.768498716095685,
  142.96352094128525,
  5.60868469705899,
  24.1258647340465,
  72.46726383327474,
  13.787523059813145,
  42.46512845915057,
  35.380547630705166,
  18.89676956950088,
  30.115610091433027,
  21.32723775502562,
  27.217559421324765,
  5.4413628778930585,
  24.50081458270804,
  31.088630534479055,
  63.72656600368967,
  90.32445897613249,
  23.357761325961782,
  57.63965505938337,
  14.57744756738162,
  8.717349075669329,
  18.96669755261779,
  61.057964592664725,
  11.483715032915534,
  16.816282132730578,
  31.145530840081165,
  9.342599265305699,
  10.457184909376425,
  57.54596721445385,
  10.212780226375752,
  6.599728675931606,
  15.298022546074405,
  10.260121586480324,
  22.746881871324103,
  11.615631909489672,
  35.97128455660004,
  210.07161867081106,
  34.55348686814202,
  10.575458490285088,
  84.04049584147552,
  5.850202658019011,
  7.311982112451463,
  58.66196290997561,
  155.4302309489907,
  19.014943203681902,
  21.42062168090085,
  30.934340952535266,
  79.94777457326046,
  12.871301301490174,
  15.259855852896973,
  24.691284991663426,
  13.145021217242821,
  5.523940262867851,
  18.976053295176467,
  10.011158825087945,
  47.4702647967777,
  6.025029078805608,
  50.382400679789924,
  15.63511897659138,
  11.191893194535359,
  5.03710238534255,
  242.72639101440427,
  18.962779762540436,
  35.787356616396245,
  16.943369786835596,
  27.85860218447307,
  52.4713469083992,
  89.56617383525173,
  6.2442113404992465,
  31.545827525142123,
  43.80192895787478,
  16.033396320692148,
  8.308210426103491,
  143.6079144385642,
  54.155857341104195,
  21.863598902475395,
  34.146777911720065,
  75.56866745474204,
  85.29785419737033,
  13.113151935447974,
  25.886965859608615,
  11.096386918710019,
  22.662503024336175,
  17.885566984121255,
  147.11635766301396,
  50.04815353929548,
  14.733342169137483,
  11.294221827314672,
  11.112503768837078,
  99.04812727476096,
  183.5962839585324,
  112.64286013948671,
  31.89358014759101,
  98.80873408789685,
  101.82203674227296,
  90.97678831247221,
  118.93732372415525,
  30.372079794716296,
  7.852848729385917,
  32.496459022191694,
  42.35138712369016,
  183.5249116642086,
  59.60822769985144,
  12.669697652892514,
  21.0926111258558,
  22.521731139046913,
  29.844077177770583,
  62.0037010434525,
  76.13824077198981,
  43.3578150844747,
  12.113852786722635,
  5.770865144770278,
  12.660300502541869,
  47.47893013475854,
  80.10632593860143,
  80.58392011672956,
  45.18922674973875,
  9.517714740118512,
  36.47453938894038,
  16.43835319915096,
  23.481909416650875,
  96.45202049077224,
  43.43986060473804,
  5.538439157040705,
  57.14314058024106,
  28.865384116152637,
  15.624994498885146,
  22.450220167623677,
  114.32270962465608,
  35.578297989784275,
  7.62793042742591,
  24.297941596894596,
  24.752536327659065,
  93.86110857011109,
  7.878139440174957,
  12.692659988514025,
  53.355627091137904,
  22.556086078469637,
  87.70326941468072,
  7.063982157166255,
  6.860076655615637,
  34.577745250278284,
  5.412061011053685,
  247.37138005188294,
  6.848228828914307,
  46.42447431967451,
  8.798367403871442,
  9.090776707267114,
  91.38079994868593,
  31.89941407959354,
  17.50365310920108,
  108.15689092008341,
  104.75185412583588,
  20.023685906674764,
  72.05583652554584,
  49.815231110698534,
  9.98972546951289,
  8.12373049612872,
  26.795994199625824,
  42.07077509250285,
  44.62818590211568,
  45.32284804522367,
  11.47737357088261,
  12.79490578734285,
  40.20597422677352,
  33.94529101356694,
  17.30828292386484,
  5.649944284361408,
  12.94478514686054,
  40.62845399708384,
  15.513539087995435,
  16.47375639332402,
  7.194103488166916,
  55.413902682874586,
  111.71637050168334,
  5.055146927347089,
  47.58820498764087,
  34.07939579162404,
  34.0762553446255,
  53.55092327286897,
  47.557364943227554,
  37.69038152970105,
  128.0519318436384,
  63.71062949182407,
  73.17383449436491,
  71.57807875807953,
  19.07724651449963,
  23.82464840694271,
  14.759470805023755,
  25.593876806839436,
  37.137027037645176,
  26.18490742219878,
  10.076819117447458,
  14.650776818000686,
  7.968115360166695,
  23.30853908420417,
  168.62440414828086,
  164.1699016718043,
  43.54589005660978,
  75.59888506649672,
  108.76862334466618,
  94.25053511938899,
  43.90610228554626,
  65.43656723597147,
  5.452360139535454,
  12.363123030206665,
  24.644165380537803,
  25.499637113501592,
  20.969029485461682,
  42.706946486731205,
  20.92535301391485,
  59.48182867741628,
  31.500987195606523,
  12.042514087649966,
  6.597838822179428,
  65.49121159497855,
  12.323451633720017,
  55.53546089266559,
  63.590903504276184,
  86.35226362551695,
  82.6236644744254,
  111.25554151135765,
  25.722196622704004,
  23.64479309965016,
  17.76851643080635,
  56.06900130050992,
  7.48132673684686,
  22.919885621272694,
  113.55733211849727,
  15.46423737985487,
  48.95056638351987,
  15.303809518243893,
  98.68968271307281,
  5.867133419372695,
  8.029842603296792,
  29.306347655051887,
  8.898170515344246,
  91.11964905373301,
  60.163162067434584,
  36.22067588815164,
  10.175634693325835,
  8.488823988210024,
  8.05999962923042,
  28.20973617190784,
  7.21873974123603,
  33.639183356582265,
  20.971448045132984,
  126.67292042877403,
  114.84833801205852,
  64.43109869398458,
  9.87950811538566,
  18.058436411461,
  69.26863401904643,
  93.27018859248666,
  23.92707963182121,
  17.721830042120573,
  32.435727746618745,
  18.892234971178667,
  13.175669013820098,
  14.39655901350981,
  34.559612747274045,
  28.783565756266725,
  51.57069197351742,
  14.350198614341375,
  76.58523155805653,
  19.986131704558897,
  18.21188418659293,
  80.86897356891242,
  8.276402709947696,
  29.899800717575047,
  25.289276135016724,
  82.0284016043655,
  12.349020231630883,
  8.114025249416619,
  7.294179235564412,
  30.77201920187659,
  15.580900304795492,
  11.305463353071627,
  20.713563996457,
  17.50258213996456,
  21.778757620970943,
  86.38351038907822,
  13.5000225887459,
  179.42179296535093,
  128.5813569963032,
  73.8442000918465,
  14.813042582581708,
  5.277309320540596,
  11.22636086489035,
  18.017678358991233,
  7.244995224998026,
  15.086122679787277,
  66.43957746929081,
  42.85492531970129,
  56.895216363688995,
  18.96371953326758,
  42.37288594775464,
  15.99030659034376,
  26.010030536307404,
  5.331672409428863,
  23.566574668987066,
  6.159078826913057,
  31.276132452477896,
  16.6682841929349,
  10.242159532647689,
  12.862817236325283,
  6.044025344854859,
  45.304142391271284,
  6.527637710986197,
  6.192844109031954,
  19.603148515107033,
  11.65012490688659,
  116.65819226483967,
  13.32002646243417,
  10.490285973903587,
  63.00828430253769,
  6.451337574201566,
  5.440754942085726,
  50.03064240562111,
  5.95216869472815,
  22.19690995703024,
  105.74743308098002,
  10.868073437550159,
  18.73571649833038,
  55.8674002892651,
  10.688779479348163,
  10.305405441718216,
  7.154967536746945,
  30.263372937061636,
  89.496382517326,
  11.373234125646698,
  70.550954793992,
  21.57913861146895,
  17.570544184162305,
  18.080362364389966,
  20.932994735038093,
  10.916093157665838,
  48.755465282215276,
  7.146050904234362,
  119.27534897475842,
  75.1412215115998,
  6.692172586203996,
  9.532834860079397,
  17.65779104136517,
  10.134483471285797,
  33.288648044117146,
  49.7401541582719,
  70.78357789743387,
  58.97244939288552,
  24.44434605937158,
  10.774230155060096,
  24.606679934250533,
  53.82644829836374,
  19.10193410484826,
  19.30129613358728,
  112.95793666276742,
  24.391004589630647,
  6.788772329622046,
  6.02194450313363,
  16.57468884599739,
  13.162001222528895,
  43.01395263717097,
  56.934674326340755,
  61.530431792091704,
  30.914667655355565,
  5.749759901885741,
  76.59663683888422,
  66.71712438683278,
  61.733117101230846,
  11.210239325134118,
  49.44644572378995,
  97.12039241093505,
  7.744419464684574,
  25.514329586087065,
  33.89011253703843,
  6.575687430682784,
  44.95926810350784,
  12.782053040515377,
  10.243520371656171,
  44.517614570318756,
  15.670828197623395,
  11.283871159255295,
  17.29485637331716,
  26.919154686382935,
  7.537152735182038,
  27.46338579553071,
  8.21633449262243,
  32.937546475453416,
  81.8981621830181,
  31.71969149728599,
  6.7938489032946645,
  41.62985225981125,
  68.49496477688699,
  15.162683315268122,
  56.82347446883216,
  82.81656059630382,
  8.38528431605947,
  24.173065743677864,
  8.926613288716318,
  62.28803429960712,
  15.528899896743013,
  107.68270108258517,
  13.99138074436676,
  11.253892986488621,
  7.090151996078676,
  5.7487690697341804,
  62.33444786312417,
  73.35612345514028,
  10.335069186811978,
  11.128833115376814,
  31.333278007294936,
  134.01825014619058,
  67.85750438862682,
  5.51792314982081,
  20.71830409476883,
  12.710985922562124,
  26.305609727064542,
  12.112982294674401,
  12.243149633152797,
  7.0535618443819565,
  66.29653733902975,
  5.422247158345862,
  12.14203852305835,
  17.32883917053613,
  79.89560256017333,
  59.03631834235209,
  73.70413061140978,
  13.200710890051761,
  52.57594944317344,
  46.88787825789264,
  16.49313847040712,
  69.19079367209537,
  14.610606578628262,
  14.178215006666376,
  7.609679770537984,
  13.301677384614203,
  27.578747922281966,
  34.052634276494004,
  118.6752812869941,
  9.309823343475076,
  49.79472436285974,
  31.47704953524304,
  5.800240493980301,
  38.02178365545685,
  13.50073392584585,
  15.491661333359737,
  5.4828298897342655,
  13.667604492566259,
  54.52340933391401,
  14.094501149209053,
  7.149846706466653,
  49.80672742562944,
  17.031851689108564,
  28.485883340528293,
  23.190879965308046,
  7.769373155038589,
  57.93424693527358,
  5.0296879889225155,
  6.662619582753854,
  21.79420281935949,
  27.73946566493462,
  32.87416606693397,
  19.76534733876916,
  8.72034863449153,
  27.548578154008077,
  89.31116838563068,
  77.67292184755682,
  9.561728053880646,
  134.04724440122774,
  21.740207863373623,
  78.75155044245611,
  59.92702853516076,
  60.50347011890885,
  15.412632537041763,
  42.773861186058944,
  52.21420557881477,
  65.78423153236862,
  56.84784241702165,
  73.84831832216777,
  15.228182340803102,
  64.98077085642191,
  59.472786340663006,
  72.09541532948903,
  6.469537706239994,
  107.63944718658215,
  8.104249193335587,
  9.432819297430282,
  26.63704263553428,
  16.634688171301605,
  58.81173876342052,
  19.330006706444088,
  49.03621683813502,
  88.45617576436945,
  6.702768479715715,
  15.899174987695567,
  20.534197318884637,
  29.907794038766482,
  22.939811804525046,
  31.887365292795458,
  18.533632454197363,
  7.238168359666823,
  13.911184533596082,
  80.1291749792731,
  16.152263374130698,
  23.717018115489683,
  19.491003333546395,
  8.54203346361912,
  9.969845491210988,
  21.100583907746593,
  14.189514945622872,
  34.353925960511,
  67.8497366519087,
  15.196492193116205,
  22.931144655572446,
  65.1717524129082,
  62.08620741785714,
  20.65556304868495,
  35.79397965125777,
  19.33862623115597,
  20.811494608025647,
  22.531830227881436,
  20.1658498638171,
  20.446786759593312,
  15.526938269108753,
  33.938962979493624,
  22.83330049801159,
  7.527819826482967,
  5.498495688184827,
  6.8056648870507885,
  23.248367037366894,
  25.975902528740075,
  98.14213107866327,
  32.70506241924527,
  6.239619122190523,
  7.847273622847176,
  26.77875008615984,
  12.461448354178815,
  5.682238218745671,
  37.30608830817433,
  24.987417948486147,
  97.4656852580693,
  28.162217617358536,
  30.195245635323847,
  86.49152044377901,
  52.54330832051091,
  38.88855497275651,
  5.416927205768996,
  5.894614684673442,
  56.25117231089497,
  100.0005722098493,
  8.040129226185652,
  41.83400779755621,
  30.66466409926123,
  41.98871704045455,
  7.874984535563118,
  87.73126410760747,
  10.305641502717918,
  5.333447028265372,
  ...])


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


size_of_interactions_average(Etot, Ntot,size_interaction)


#energy_spectra_doublebreakdown(Etot, T_first, file_energy_spectra_doublebreakdown)

t3pa2cls¶

Functions¶

File names¶

Calling functions¶

Hit map¶

Energy and time calculation¶

Detected energies during the discharge¶

Energy spectrum¶

Count of hits during the discharge¶

Graph for home page¶

Average size of interactions¶

Energy spectra for parts of doublebreadown discharges¶