
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 = 44608
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
    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
        RowNo.append(int(int(matrix_index[i]))%int(256)) #ver XV
    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);

([3568087.6536442884,
  3572484.4906633203,
  3592561.984852291,
  3593072.8283792147,
  3614268.75,
  3620939.0625,
  3642968.3857835634,
  3647429.6875,
  3648034.431551762,
  3648599.094533088,
  3665578.601130058,
  3688667.0261037736,
  3703206.560235718,
  3716842.1875,
  3720732.8125,
  3722671.79733218,
  3729304.980705262,
  3729332.7206129148,
  3734250.6612032442,
  3763264.1341941413,
  3770833.8978557,
  3773869.740799681,
  3776417.2976013334,
  3776699.838799945,
  3787519.1370057627,
  3788671.875,
  3789653.3377642743,
  3794259.1809504395,
  3794363.728345003,
  3794432.5912608183,
  3795826.5625,
  3795853.4004524085,
  3798582.1185976807,
  3812767.1875,
  3812975.0,
  3821577.634369523,
  3829991.26217016,
  3835965.372353185,
  3836218.75,
  3837303.125,
  3838779.848362849,
  3838798.0726992995,
  3843856.4473634707,
  3845706.929920268,
  3856801.5625,
  3884478.8865003474,
  3887193.901923438,
  3890200.0,
  3892642.9170312122,
  3902843.75,
  3914253.8466721433,
  3926579.2749822405,
  3938012.5,
  3948692.115973122,
  3948983.7026204257,
  3949000.717050333,
  3961151.5625,
  3965016.690134964,
  3967458.69088884,
  3984462.5,
  3985225.4278033897,
  4001553.7257474926,
  4002606.7150049047,
  4016911.2266859547,
  4024378.4839128824,
  4024440.5011870554,
  4031822.7810412534,
  4033632.1772141857,
  4043639.0625,
  4065455.2822183687,
  4065960.428040228,
  4070483.152860454,
  4077692.4526899327,
  4084857.5585997803,
  4092248.4375,
  4093815.3618071894,
  4098262.9876926946,
  4100670.2206442663,
  4107692.118066807,
  4108004.8445667676,
  4108613.877817516,
  4109613.8404719406,
  4110451.2054393278,
  4125191.0274819536,
  4129173.77748974,
  4129444.59599475,
  4141403.6808922756,
  4158153.125,
  4168348.33712561,
  4170881.7546201437,
  4178877.177168179,
  4181544.7093867846,
  4183770.0983328237,
  4196728.125,
  4199268.53944339,
  4205196.875,
  4206856.991794685,
  4215078.125,
  4215304.336801294,
  4218114.495089604,
  4219471.355188522,
  4229346.875,
  4229707.8125,
  4234285.9375,
  4235834.630384445,
  4236577.952965543,
  4249996.388654094,
  4250002.628647754,
  4262783.113416358,
  4263715.625,
  4282963.081771146,
  4295149.1011865,
  4297780.735915039,
  4298548.4375,
  4302878.121831724,
  4303622.54439788,
  4304023.3290519435,
  4306251.5625,
  4306987.270876527,
  4313647.531380793,
  4314684.375,
  4323701.5625,
  4325973.4375,
  4331735.1670460645,
  4344061.11538914,
  4352734.242606959,
  4363837.898149827,
  4366615.625,
  4367718.09521446,
  4373729.222134735,
  4377722.9804813,
  4379065.625,
  4379365.625,
  4381806.773047505,
  4385400.585630784,
  4390707.194592746,
  4392213.29555786,
  4394050.027590032,
  4413535.922221913,
  4418624.005246404,
  4429629.104418705,
  4429834.116046537,
  4434028.565699932,
  4434455.95741732,
  4435514.878986751,
  4444050.770661312,
  4444635.9375,
  4445315.625,
  4446370.177809676,
  4453870.3125,
  4458950.0,
  4459711.73642058,
  4459828.372513673,
  4460380.114367577,
  4460621.019530764,
  4461922.830071015,
  4467220.3125,
  4468606.551317057,
  4469941.107099439,
  4473118.9698100295,
  4474880.747591727,
  4477785.053713778,
  4486841.477495021,
  4486959.375,
  4499075.0,
  4499770.089380372,
  4501486.70878891,
  4505145.6047360385,
  4508716.702323278,
  4508726.495504465,
  4509260.9375,
  4514336.572776134,
  4523681.783020551,
  4527572.4321345845,
  4532762.5,
  4534581.25,
  4534639.329609665,
  4538989.713176851,
  4540299.987821761,
  4542647.368210402,
  4543232.567691381,
  4547353.826045308,
  4549313.274392821,
  4554110.18504342,
  4554435.9375,
  4555203.125,
  4555622.728289911,
  4556324.737440674,
  4559326.5625,
  4563274.236631349,
  4563292.505315061,
  4564029.637492625,
  4564541.460876166,
  4569671.170395442,
  4571888.7867928585,
  4579238.877665904,
  4584788.837970589,
  4585523.732266024,
  4585545.08419846,
  4588324.334280329,
  4589367.212511599,
  4590579.571566408,
  4598065.115413578,
  4600848.963886901,
  4602339.214327944,
  4602595.3125,
  4602660.9375,
  4603492.26942713,
  4603836.175976713,
  4604166.450808984,
  4605753.630860872,
  4605988.76221706,
  4607361.691740123,
  4607508.536311662,
  4607723.0113172,
  4608756.651247464,
  4608968.403077775,
  4609804.685769895,
  4610267.774343637,
  4611190.542822777,
  4611748.4375,
  4613338.431808759,
  4613457.659009853,
  4615508.992175633,
  4616272.596229753,
  4616955.811351368,
  4617576.513449726,
  4617782.8125,
  4620436.488355367,
  4620466.513279048,
  4624767.982168657,
  4625044.894501913,
  4626619.115533884,
  4631477.158372559,
  4633423.10883438,
  4634531.25,
  4634538.908454639,
  4634548.260709371,
  4639284.030687847,
  4641675.332904711,
  4667137.5,
  4680437.164904906,
  4686409.375,
  4706752.565952804,
  4708220.553736398,
  4718109.51980132,
  4733916.046287973,
  4749583.495944627,
  4774340.625,
  4787699.970168421,
  4796864.317317292,
  4813151.5625,
  4839746.669799613,
  4840358.151675624,
  4840398.4375,
  4843732.8125,
  4844055.855798664,
  4844152.209289204,
  4845249.331684723,
  4845643.815165853,
  4845811.776217121,
  4849052.4427083535,
  4850385.9375,
  4854850.5591888325,
  4863339.941531198,
  4870598.274545295,
  4878281.25,
  4884426.8737663645,
  4887774.9855253585,
  4906303.076248639,
  4910012.619749279,
  4910304.005864336,
  4912258.909316698,
  4912266.096986656,
  4916355.78934658,
  4920328.449461159,
  4931616.780221179,
  4931663.062838933,
  4931679.308997876,
  4932302.688518498,
  4932302.897418399,
  4933359.824915929,
  4935403.125,
  4937371.097790952,
  4937453.447552863,
  4937906.164821495,
  4940688.101828483,
  4942923.305975193,
  4944276.5625,
  4944859.375,
  4948876.043961245,
  4949462.531590396,
  4950040.580134288,
  4951187.5,
  4951668.305351088,
  4952709.893540361,
  4953954.145432443,
  4954103.125,
  4971546.875,
  4974201.16624521,
  4994212.343035391,
  5008825.888605296,
  5013544.248859151,
  5032009.375,
  5036993.480240526,
  5039431.169901241,
  5042257.372939914,
  5043773.759432594,
  5092034.075263057,
  5106591.698082071,
  5110776.866161432,
  5120670.175048929,
  5123238.943572378,
  5126195.972882056,
  5134362.5,
  5134393.315684322,
  5142803.364379591,
  5144867.651937288,
  5149155.2773496555,
  5149916.176522019,
  5152215.14901494,
  5157262.011202008,
  5157392.10179279,
  5159879.47598629,
  5161196.749743353,
  5162812.5,
  5164415.066060107,
  5165353.5948698055,
  5165416.965968572,
  5165596.875,
  5167927.735350905,
  5171567.9446193,
  5171643.921829926,
  5172324.895719117,
  5173809.096123697,
  5189861.227016566,
  5193141.6879331255,
  5193362.182079574,
  5194109.375,
  5198415.366032545,
  5201736.298308441,
  5204038.861741115,
  5209771.525219174,
  5212656.25,
  5217388.434222764,
  5219453.264033489,
  5220467.1875,
  5222056.347521353,
  5224869.924628991,
  5226072.89895634,
  5228357.299871245,
  5229935.75855659,
  5232273.4375,
  5237352.250020372,
  5240242.1875,
  5244805.576418115,
  5246022.462618229,
  5248362.928734838,
  5249582.399297639,
  5250401.410281459,
  5252049.8689948665,
  5255560.714634434,
  5257222.890601399,
  5259137.659729479,
  5261295.049931753,
  5266364.038619202,
  5268424.563681966,
  5269021.199824827,
  5272797.617517271,
  5274388.113428667,
  5276580.603085354,
  5277562.5,
  5277631.324501911,
  5278620.3125,
  5281711.576380974,
  5282303.063612522,
  5284578.001417062,
  5284580.3485123115,
  5284745.576438495,
  5284896.388361712,
  5288082.043786776,
  5288092.147108891,
  5288480.520509515,
  5288764.537947169,
  5289117.292435902,
  5289407.8125,
  5289892.61155691,
  5290132.221288813,
  5290740.063670163,
  5293574.499181518,
  5294518.75,
  5295882.0579264555,
  5296429.50927499,
  5296910.9375,
  5297346.599068345,
  5297835.9375,
  5297873.4375,
  5298383.577135577,
  5298886.169107395,
  5299133.3141126875,
  5299505.903022059,
  5304666.46489176,
  5310507.939185563,
  5310637.5,
  5312765.915976455,
  5312787.869392759,
  5314678.945467233,
  5315700.131561919,
  5317006.274720059,
  5317450.0,
  5318713.496860173,
  5318724.769113575,
  5326807.8125,
  5330226.1975419875,
  5334254.6875,
  5335609.716719479,
  5339867.133509399,
  5341017.731560605,
  5343954.461125014,
  5352925.33119526,
  5357388.702665219,
  5369495.3125,
  5377955.373084736,
  5391664.986750789,
  5394070.3125,
  5397900.947058753,
  5397908.599202307,
  5398851.5625,
  5398905.088988661,
  5399903.100260478,
  5406664.0625,
  5408193.495628198,
  5408197.868428884,
  5408560.9375,
  5408768.911262968,
  5409377.895815076,
  5409581.25,
  5411440.443422317,
  5412692.1875,
  5412860.9375,
  5412872.625847472,
  5413890.886509449,
  5413995.7030792525,
  5414731.25,
  5418617.662769971,
  5418827.0126602715,
  5420902.972321748,
  5420967.1875,
  5421122.985753376,
  5425755.544170484,
  5435307.966390529,
  5438038.380575115,
  5440406.615500294,
  5443557.771432793,
  5444892.598677883,
  5455267.149981995,
  5465228.118261837,
  5465437.509672762,
  5467640.325592171,
  5478767.949092184,
  5485170.3125,
  5487280.387562843,
  5490655.383753986,
  5492774.208011053,
  5492817.1875,
  5495998.4375,
  5496714.0625,
  5500406.25,
  5500422.478018079,
  5500615.061379578,
  5503157.8125,
  5515068.37904729,
  5522828.490408703,
  5523220.268236069,
  5525290.8390444415,
  5525299.374655095,
  5531313.751236853,
  5538875.983193448,
  5545793.857621543,
  5547612.5,
  5553500.011012199,
  5554563.28562182,
  5578970.9974007895,
  5586339.577249637,
  5592676.763277314,
  5592685.879976398,
  5593140.625,
  5594263.895910686,
  5598755.190589595,
  5624065.625,
  5644840.475564016,
  5646734.375,
  5649825.903892452,
  5652315.112594648,
  5657295.029156505,
  5662346.17947626,
  5668249.045630218,
  5718662.5,
  5763034.231499881,
  5785840.107548917,
  5796534.375,
  5841261.641596891,
  5916814.025742718,
  6107323.4375,
  6107415.690723287,
  6108515.3495837,
  6108656.95861366,
  6114379.6875,
  6160278.110426569,
  6166696.965591164,
  6167284.216202108,
  6217844.8310330305,
  6220206.234525122,
  6233635.281594818,
  6233851.958593994,
  6370521.530149566,
  6373712.508142466,
  6375006.25,
  6377454.6875,
  6388613.891427633,
  6399884.375,
  6415873.413512747,
  6421580.918461385,
  6421872.699258532,
  6426789.9433654435,
  6426851.456082127,
  6427292.261700809,
  6427615.588533539,
  6429503.643597772,
  6429528.6127636265,
  6429543.11123569,
  6430794.436343251,
  6431554.284428097,
  6433262.369536637,
  6434520.2642257875,
  6434882.8125,
  6435557.645824582,
  6436288.361058191,
  6436414.0625,
  6436431.402815384,
  6436890.431154243,
  6437141.385524976,
  6437463.492550236,
  6437501.5625,
  6437508.957594308,
  6437582.8125,
  6437596.875,
  6437793.398846514,
  6437922.851684109,
  6438048.5464181295,
  6439467.1875,
  6439477.198737247,
  6439604.6875,
  6439685.27122936,
  6439891.927025416,
  6439907.990714699,
  6439956.25,
  6440075.870789414,
  6441290.334882268,
  6441295.458113261,
  6442137.5,
  6447215.582605436,
  6447590.625,
  6452810.192751082,
  6453842.1875,
  6457694.926550082,
  6457835.948215578,
  6458125.349446534,
  6458270.3125,
  6458751.928782484,
  6459231.691065544,
  6464855.472600588,
  6467392.371236404,
  6468480.8754521245,
  6481934.375,
  6494828.087828239,
  6494835.24798687,
  6498589.0625,
  6499650.0,
  6505451.096371032,
  6507339.061377622,
  6509099.965251012,
  6511427.03204402,
  6512595.3125,
  6512989.156095887,
  6513229.024211734,
  6514178.636895679,
  6514579.6875,
  6514737.5,
  6515568.27469861,
  6516016.4838660965,
  6517367.1875,
  6517978.072743718,
  6518671.129579059,
  6521668.605684693,
  6522933.524511705,
  6522990.298020782,
  6523925.766472526,
  6524131.25,
  6525726.884547575,
  6527571.704123268,
  6528017.1875,
  6529789.930727654,
  6534743.871221672,
  6538746.263862792,
  6543004.663152019,
  6545860.9375,
  6546764.3484184835,
  6547046.875,
  6550041.247347745,
  6553393.75,
  6553555.467319827,
  6558005.2903915355,
  6561119.719961095,
  6567425.377628225,
  6568504.555417833,
  6569473.4375,
  6570128.424152465,
  6571667.897211726,
  6571720.756378221,
  6572388.878093655,
  6572971.875,
  6574461.950575902,
  6574710.238373172,
  6574870.743152284,
  6575429.395089019,
  6575483.299614547,
  6593423.156712746,
  6597307.324903728,
  6598522.186791938,
  6600311.941513179,
  6601213.195646783,
  6603610.9375,
  6603831.25,
  6603904.675986158,
  6604521.875,
  6605231.25,
  6605417.1875,
  6605962.044260218,
  6607348.790310923,
  6607627.962567744,
  6608331.176820191,
  6610271.670914182,
  6611193.141176203,
  6611276.916015838,
  6612767.456001847,
  6613846.875,
  6616631.551240044,
  6617679.035967796,
  6623528.125,
  6624034.364721578,
  6627607.789325472,
  6631331.333175679,
  6636554.6875,
  6637616.825625267,
  6649810.752542689,
  6649908.439850275,
  6651119.3392973505,
  6651219.434823237,
  6651434.521525389,
  6652836.155983329,
  6653062.340614687,
  6653988.268827439,
  6654535.8796574585,
  6654586.855624624,
  6654592.421575361,
  6656946.875,
  6662534.403317557,
  6663692.1875,
  6665485.196400419,
  6671809.232923466,
  6672985.5963553665,
  6673450.999529561,
  6674767.751175244,
  6680212.5,
  6683797.456659126,
  6684616.196273009,
  6684929.734876694,
  6685951.5625,
  6687029.538916473,
  6688772.722154742,
  6688806.218231778,
  6692221.971552921,
  6692394.074303647,
  6695609.009744307,
  6696054.6875,
  6697405.033437537,
  6697558.30847802,
  6699481.25,
  6699771.5405039,
  6700118.34235101,
  6701088.9317370625,
  6701181.25,
  6704744.307127776,
  6704973.119762209,
  6705573.303793426,
  6706414.039835151,
  6707539.49929313,
  6708213.789223743,
  6708714.559975712,
  6709615.625,
  6712492.1875,
  6715970.607014493,
  6717209.305819116,
  6717530.459074475,
  6718143.830821616,
  6719584.528790959,
  6722722.940401226,
  6725695.3125,
  6726980.609938196,
  6729507.166607961,
  6730270.1619730005,
  6730915.378718992,
  6733900.736978891,
  6735064.91174994,
  6735139.0625,
  6736261.066942011,
  6737805.981442268,
  6737841.269289835,
  6737887.5,
  6738355.727158381,
  6740746.174714413,
  6740799.722668504,
  6741625.821498117,
  6742122.711297215,
  6742835.9375,
  6742925.119754759,
  6743479.6875,
  6745693.75,
  6745760.336581639,
  6745995.053532788,
  6746965.607491332,
  6746993.2046094425,
  6747490.999911164,
  6747581.387689874,
  6747590.625,
  6747959.247275447,
  6749639.5946546085,
  6749670.3125,
  6749852.0480696205,
  6750925.850011457,
  6752439.835799784,
  6752477.682996694,
  6752581.25,
  6752873.8394212555,
  6753682.2375258785,
  6753747.0493896315,
  6753792.1875,
  6754032.8125,
  6755308.816464887,
  6755913.58168247,
  6756163.825435023,
  6756324.795052384,
  6756417.641952941,
  6757136.899315919,
  6757254.533487458,
  6757438.711604754,
  6757525.0,
  6757534.538346207,
  6757546.632731823,
  6757703.002669091,
  6758151.146923125,
  6758587.5,
  6758994.023909321,
  6759114.115173691,
  6759125.023857656,
  6759294.501652263,
  6759561.379913637,
  6760480.663027435,
  6761806.25,
  6762434.095955851,
  6763187.361820996,
  6763319.715549112,
  6765132.824949693,
  6765295.764816888,
  6766866.687631701,
  6768058.799415037,
  6768539.004878154,
  6769884.850927858,
  6770153.125,
  6770650.770997007,
  6771596.756612468,
  6771976.437677667,
  6772297.234733835,
  6772470.3125,
  6772538.564039359,
  6772542.1875,
  6773251.272546911,
  6774319.957175286,
  6776118.75,
  6781643.75,
  6785182.708402723,
  6786172.280761253,
  6786749.037917449,
  6788339.97804816,
  6788573.777365078,
  6788619.009006003,
  6788700.6083720615,
  6789081.25,
  6791379.138037268,
  6791557.8125,
  6793071.232583168,
  6793973.968863786,
  6794734.98568828,
  6795246.875,
  6797107.407939951,
  6797434.70125529,
  6797742.306117443,
  6802083.606273746,
  6802747.864440224,
  6803043.75,
  6804795.3125,
  6804800.900782318,
  6805158.967854613,
  6810812.075659115,
  6810835.028952217,
  6812784.375,
  6812965.625,
  6813081.25,
  6813806.746994698,
  6814423.596722962,
  6814600.305729103,
  6815417.394001564,
  6816962.680926749,
  6818124.601930788,
  6820563.404058875,
  6822248.992465633,
  6822756.25,
  6822836.073772342,
  6824420.12023269,
  6825647.061691371,
  6826286.301844165,
  6827821.875,
  6828523.485128001,
  6829846.875,
  6830425.682769625,
  6831614.0625,
  6833030.6370870825,
  6833496.789067368,
  6833892.591275932,
  6834063.893116539,
  6834260.9375,
  6834609.375,
  6835448.4375,
  6835608.852877812,
  6836676.774872628,
  6836834.71782876,
  6837326.498747029,
  6838129.846156562,
  6838192.1875,
  6838320.3125,
  6838345.3125,
  6839096.360778519,
  6840912.334403686,
  6841120.083654826,
  6842709.76118552,
  6842772.258799513,
  6842957.591812118,
  6843168.087448814,
  6844087.5,
  6845442.1875,
  6845559.375,
  6846778.125,
  6846843.13951057,
  6847269.078541689,
  6847539.484246229,
  6848019.813216118,
  6848020.3125,
  6851503.712684874,
  6851675.0,
  6852559.026334751,
  6852902.766565795,
  6853517.1729365,
  6855541.39725295,
  6856489.0625,
  6857714.657773411,
  6857959.375,
  6858989.7416640585,
  6859729.6875,
  6860502.289787102,
  6861027.800085801,
  6861685.366740322,
  6862567.027424752,
  6863558.389140786,
  6863900.0,
  6864209.581510977,
  6864228.041964142,
  6865040.138785949,
  6865390.625,
  6866076.231461256,
  6866446.875,
  6866785.9375,
  6867440.447518262,
  6868847.202771558,
  6868877.776527397,
  6869850.390558337,
  6870365.645955156,
  6870954.02192751,
  6870958.271067675,
  6871282.197862573,
  6871834.717865755,
  6872036.308613338,
  6872044.527773235,
  6873780.713424028,
  6873834.094837914,
  6874548.4375,
  6876282.802561394,
  6876451.5625,
  6877163.046179291,
  6877227.337885743,
  6877333.458683468,
  6877412.5,
  6877571.830954125,
  6877595.144692141,
  6877980.886763727,
  6878214.348237319,
  6878359.539543437,
  6878363.554546753,
  6878812.121271983,
  6879073.4375,
  6879091.238573822,
  6879113.05794343,
  6879306.495170125,
  6879414.701400161,
  6879476.222160721,
  6879660.3722309405,
  6879969.474611648,
  6881953.279988526,
  6882035.495189732,
  6882083.493494836,
  6882807.748588418,
  6883362.649236495,
  6883406.165170224,
  6883414.430685074,
  6884006.25,
  6885082.843189854,
  6886452.04757177,
  6888035.752835721,
  6890235.415458987,
  6890658.376394469,
  6892127.810701171,
  6892385.9375,
  6892434.007194542,
  6892923.124512406,
  6893151.5625,
  6893893.8165152185,
  6893918.75,
  6894149.677285589,
  6894628.125,
  6894631.25,
  6894634.676485134,
  6894679.28149637,
  6894696.389972838,
  6895223.541481852,
  6895334.137617051,
  6895751.476288999,
  6895939.405953628,
  6896049.588986057,
  6896253.273078677,
  6896450.972364391,
  6896548.235225082,
  6897107.8125,
  6897254.6875,
  6897670.3125,
  6897987.527634493,
  6898010.156451933,
  6898043.781414814,
  6898114.843891611,
  6898143.75,
  6898273.4375,
  6898329.250058817,
  6898452.6233232,
  6898530.143609464,
  6898603.769509643,
  6898633.032754818,
  6898660.409253691,
  6898790.6553665735,
  6898932.680882533,
  6899154.271636392,
  6899307.28428397,
  6899342.226195188,
  6899420.021835642,
  6899432.060191515,
  6899593.086582834,
  6899629.255491887,
  6899856.812679768,
  6900176.357286913,
  6900176.654139712,
  6900364.0625,
  6900440.3066347,
  6900459.375,
  6900503.125,
  6900643.791999285,
  6900737.5,
  6900932.555209946,
  6901501.584614029,
  6901615.256372315,
  6902056.25,
  6902129.809479026,
  6902794.966702415,
  ...],
 [5.952898419370792,
  9.43115614862965,
  75.75896495773972,
  20.469505934699736,
  65.01121067030694,
  43.57584802183509,
  99.79770022009014,
  72.93778007031472,
  11.217266528065743,
  29.384477059542135,
  54.5525719685574,
  10.88446949077907,
  23.545156887566684,
  59.1791836199875,
  54.179826742618836,
  27.07735304824963,
  5.136818371667631,
  26.83084592768343,
  20.30842159078869,
  16.949617184256134,
  15.753581423941604,
  21.93474881371258,
  15.378454454774555,
  25.7019046807669,
  9.68157920786477,
  50.684585777366884,
  8.402389295526708,
  6.242989007223421,
  65.69994059530586,
  5.037835246501236,
  61.210797141455394,
  38.792180493449436,
  54.654974153110345,
  65.59919094695204,
  50.23206075917789,
  8.948360568760478,
  8.654944770187386,
  24.375064318100804,
  75.98642313992099,
  41.860024237509116,
  11.388812850251874,
  19.044277196179493,
  8.39377882217279,
  18.37113155703848,
  70.3954184556357,
  18.238665817256237,
  9.463253894877608,
  45.876793676598155,
  15.746666508042173,
  38.05402365266801,
  6.36289548881951,
  13.572199804018599,
  55.223199320296345,
  27.18549169136382,
  19.93017083276032,
  51.66769247148135,
  66.89825874913292,
  6.668114058329887,
  12.848589793126493,
  62.450215224797695,
  36.04445746603973,
  17.86180185873333,
  11.941650601199884,
  98.2409012884593,
  22.82630991297769,
  5.607231036724131,
  14.034722815997501,
  8.846391796147852,
  65.38978443109107,
  5.562657477201832,
  21.399250163182206,
  28.401280390739146,
  16.058776485542325,
  158.17555362545582,
  59.75974441228347,
  21.22863893572172,
  11.986384436817959,
  6.255662396260217,
  11.02088531456302,
  6.287248689212285,
  9.179977727212577,
  14.157782225565024,
  23.048244384949978,
  24.86820349083165,
  69.03350263709238,
  98.51345319141964,
  35.55222546922499,
  65.24475274015829,
  26.68623941026251,
  6.333130541820419,
  22.45515981732627,
  20.522671725677018,
  10.808675385009446,
  114.22512450468086,
  31.929852181560356,
  62.60988947422945,
  19.15815558250275,
  38.61096819918357,
  75.03121337974176,
  11.87863709503796,
  13.272112587297787,
  42.08248524454554,
  48.65742974815856,
  32.22954471991011,
  82.7650263503486,
  63.17608529649567,
  19.69139343489877,
  28.429035639846806,
  11.633057866596152,
  71.66462326044426,
  7.283266968828865,
  64.95857406721078,
  21.353736555961955,
  42.85348075086555,
  6.7628742115583265,
  95.33964616956962,
  5.699890671714132,
  103.63262610580384,
  60.387383876920694,
  18.215736068310953,
  65.04578228041998,
  103.92998799918075,
  51.653941513826865,
  5.496820959123779,
  41.7465717904008,
  60.40610112657567,
  11.812822195069359,
  87.12196533665596,
  29.618181013258727,
  43.18339261011242,
  21.932851390200103,
  52.54353358010839,
  70.87231785855616,
  16.101504304493094,
  19.737138476463052,
  8.858403146440063,
  68.26857723868376,
  11.171107390552365,
  61.77222999063184,
  83.8427516645433,
  38.873387636015494,
  9.121638561578918,
  31.449930684109948,
  10.699234439693303,
  12.69925168664804,
  8.74099811676128,
  120.16162016952157,
  51.98057610335687,
  8.21661237917755,
  76.6011307277617,
  35.512425492375975,
  40.3899131149762,
  9.549842349977586,
  32.80224112354378,
  8.699555781144875,
  101.50381642697079,
  34.555030213055275,
  5.726206787238052,
  70.45443073320611,
  41.839723337767325,
  65.69235586241106,
  7.312076386977089,
  24.68403075248301,
  47.12511066152342,
  53.68257412184936,
  14.154215186159357,
  43.07355088293693,
  16.186096506931865,
  7.436702999246579,
  62.63563319404301,
  73.65482777676463,
  28.243916740212587,
  67.9305632057229,
  21.253826273607764,
  74.67615463358842,
  79.01238952821357,
  5.546186188872707,
  6.594168762106872,
  28.28614069112486,
  11.997343447636192,
  10.765465380122569,
  7.318792878398419,
  19.031443946580737,
  32.09507128395643,
  72.483227694164,
  60.87444551381204,
  5.318193121354713,
  5.03714690656259,
  43.483139579225565,
  7.920323744593757,
  22.842960022045133,
  9.28947405662491,
  54.119596283654204,
  19.669056940068987,
  24.066089611982886,
  14.280893285658424,
  67.5006204302983,
  11.621977435827013,
  7.522700561004035,
  32.690022694977245,
  103.1059244903283,
  14.517300407218457,
  7.428771934429796,
  17.41598561305462,
  11.373616744985432,
  52.6861184057731,
  101.07586096457969,
  11.258225232460015,
  15.93568102292642,
  28.51404838864849,
  6.868882386640167,
  29.935563663739014,
  18.885425815167494,
  18.670370983377126,
  17.669432567995973,
  25.982437389995617,
  23.16932491634404,
  47.67614290925224,
  9.882343411368355,
  5.701547914217666,
  119.01699049033435,
  26.66712840768801,
  8.207043424853403,
  22.74744857020953,
  12.479412024618203,
  21.66663330712342,
  5.530704703014256,
  59.215066974334135,
  94.40951140360359,
  55.82461809096195,
  7.347284455827203,
  5.15573967265272,
  7.741021042718735,
  9.89177088054146,
  23.391356244830675,
  43.32245678149325,
  25.813165296961188,
  6.728717587081795,
  63.11567285418319,
  16.38283751724062,
  47.21669561921034,
  13.801571898987117,
  98.3784888687675,
  32.722413948489745,
  123.23272361609844,
  7.656463125250251,
  20.399358213013453,
  95.58311495864908,
  43.37901411197833,
  11.081396092285056,
  16.01066998336426,
  61.82302136613553,
  25.0422294868234,
  32.91598239627128,
  34.805533250287624,
  78.34534990824454,
  66.55291199842863,
  18.15339965538726,
  8.823738180950892,
  62.13617016451471,
  6.179888667432159,
  19.848912766412006,
  98.88820858277033,
  12.130861561695665,
  32.097367663315445,
  68.087112312624,
  45.17853635899041,
  30.117295329787027,
  85.07761906223949,
  8.260963954780728,
  130.25643539753779,
  58.39491889031423,
  44.593069161499585,
  5.640700342724626,
  6.041470463502624,
  9.62169774165857,
  78.39577121623766,
  30.173213499317818,
  120.93820239589871,
  29.201821607208707,
  54.87074571264932,
  11.912188008318392,
  64.75323145564693,
  19.111635030589998,
  11.6723074353859,
  67.5357760761506,
  55.45248099259656,
  114.13810726272074,
  63.727553275802165,
  55.79981856687093,
  30.454244976421993,
  7.129780645651795,
  27.66715687079912,
  49.22472294358667,
  29.665518254895638,
  27.82122822984186,
  48.39934649346341,
  37.888440754978454,
  29.049701541326233,
  22.59444868253863,
  5.066053051949825,
  11.5318015957819,
  9.792123044199501,
  53.619350590150056,
  9.113267444953468,
  27.03482778428688,
  7.451634080329348,
  15.299148694991597,
  23.56523808435235,
  5.6763023848682,
  7.203630346160967,
  43.57162744578946,
  26.376514452193092,
  18.24190713993661,
  45.42957384519709,
  22.17435431133248,
  15.939799290630177,
  6.859910708013752,
  6.344713439394875,
  12.115108017108499,
  104.09824222158328,
  53.90921933410614,
  141.05219933172035,
  24.950904003252784,
  8.221431891631163,
  85.00738665487779,
  8.011577649568023,
  11.951198675795446,
  147.80676337796555,
  67.99454202512928,
  45.58430202368801,
  65.56798105674116,
  80.16623267218489,
  41.993546831034266,
  17.91417553146542,
  72.252279420424,
  13.3272324214714,
  96.78975537615233,
  92.21277613166464,
  7.055001219197243,
  28.914752372161,
  14.227806828198913,
  34.61644281927155,
  37.956970969417966,
  59.486397317012866,
  5.8243396785542725,
  49.44847915745082,
  40.25364686169532,
  17.880446196716832,
  31.786461934862036,
  111.86728050835924,
  25.43089399574107,
  44.31533217600991,
  15.126033739052254,
  64.87787102803401,
  12.8745239324638,
  63.46157231569481,
  24.924873904639043,
  13.57022117838894,
  70.55822502406203,
  117.58173652595357,
  6.4527135341751745,
  35.16701103087939,
  15.587402490831472,
  24.240953442794275,
  28.060797131673223,
  31.819322579457037,
  5.22663345849382,
  15.484467976776038,
  91.30381462092893,
  6.961183328017855,
  39.03534803686078,
  5.344481088077237,
  72.78074487241072,
  83.48604146232192,
  27.366309728593773,
  44.2766336359023,
  48.97995048063861,
  13.157727051292383,
  10.443673451563141,
  7.917998754438494,
  34.3981475182591,
  115.93230011161506,
  15.256578171858312,
  9.421737050180909,
  51.417168724094715,
  16.84844847953326,
  8.876979516382018,
  22.430099566113448,
  114.99081549108656,
  54.66305507345574,
  14.466497409369513,
  71.610205452246,
  43.98310249190735,
  71.39477003723835,
  50.133730465399246,
  98.21512888894259,
  30.11483347644954,
  70.31558018830269,
  17.273911962524263,
  9.054290339951283,
  181.59951442241635,
  15.447409787017675,
  37.60383544894711,
  16.18010562506698,
  11.758740634725058,
  15.653260461796101,
  117.34202771316927,
  91.55033496578798,
  43.50782788880423,
  20.86237962379172,
  24.67562930471355,
  41.116246392081486,
  59.116655141210416,
  52.70925506955481,
  16.42634488997715,
  60.68257314869617,
  30.66672931039983,
  14.14359266318868,
  100.87921897899555,
  13.727049338602882,
  73.6826768312963,
  341.0428239142008,
  20.21659964515447,
  86.11621574708361,
  20.413946830503182,
  10.098800868705606,
  117.8462486922821,
  5.076270684722717,
  14.848044990073056,
  213.68038787667217,
  7.513755752821478,
  5.229492493088212,
  42.23748831327691,
  27.43928621618148,
  44.633245038960794,
  50.533198890014965,
  37.58983366485809,
  35.20808086133845,
  53.63734792869985,
  18.86112897351052,
  44.17680975151901,
  16.673319031605544,
  63.98860771012033,
  17.126190471353336,
  16.98848976538248,
  25.834556817427067,
  53.6145566893428,
  5.678598433541107,
  12.795590911908423,
  129.4847273759125,
  7.956130523618067,
  16.545303728539484,
  38.93114504515246,
  8.516681068412296,
  13.40449102362243,
  14.91588874772548,
  9.339595454339333,
  57.345831145963984,
  23.5932558991692,
  148.11087801234615,
  78.76404217348264,
  25.742593616971437,
  87.26734140052999,
  33.058366275713205,
  54.06069019056797,
  99.76871431762555,
  33.60132636787033,
  5.488258012657447,
  7.411359022617441,
  41.19120126846809,
  13.693939989889127,
  14.305071089396328,
  98.17146977078617,
  34.988741741957696,
  20.327655595775237,
  64.45729766066977,
  20.73684718353528,
  9.424091879753684,
  144.71729303379857,
  20.90040127851355,
  17.782952601635657,
  121.8623540631836,
  17.348862316530038,
  31.62642610184531,
  113.63433766098504,
  28.65625145663909,
  14.342418331716454,
  122.36801228645723,
  164.30516123615354,
  74.4968024094868,
  77.42859481968777,
  46.31729665298185,
  19.722216648036564,
  30.528539178908854,
  88.2926387212901,
  9.904621018179958,
  41.989072440628036,
  101.45163958343458,
  7.42622522801048,
  72.71121327999764,
  145.6907398368199,
  11.070734786528122,
  50.56718881277092,
  7.138836151348387,
  56.981696705380294,
  18.5653215301563,
  97.84848011793122,
  87.65198824218628,
  75.7058889895482,
  16.469314974263252,
  7.437911914021712,
  14.882852667767937,
  20.067125874477167,
  32.54919161493599,
  10.628319465007527,
  9.338297591864555,
  90.68899255966697,
  58.2639435873789,
  24.927454133399703,
  112.9975716307371,
  148.88917121229713,
  6.699074554312535,
  19.40566987405193,
  6.019972017363298,
  9.243013150061199,
  38.213420687211034,
  19.77355140062785,
  49.17095808669317,
  5.738520075943288,
  58.83595916706938,
  8.68624955814454,
  55.139490553515245,
  62.36257726468756,
  18.96076889810425,
  110.06162264978073,
  79.27996202736838,
  19.69429654920721,
  72.3440073515494,
  6.511316202908702,
  75.25544360107396,
  12.568683943520911,
  5.891261554299944,
  30.657944455316205,
  27.529503832035164,
  55.993497394728855,
  36.05531344874883,
  193.8950580008612,
  13.097004665660563,
  63.20103882019448,
  79.56081386620744,
  37.61061566145861,
  46.016740316085844,
  6.956671739591337,
  87.20673421770208,
  28.6199884680733,
  117.88956096085204,
  17.766983628489903,
  23.877800071731652,
  15.527168913789852,
  36.30474849743873,
  36.315393876416145,
  28.690814854724493,
  28.915195063911877,
  40.139997510084065,
  22.711613685922583,
  14.982510087480344,
  5.633673368553024,
  58.37025344700606,
  25.443370286346813,
  5.638920022880592,
  14.859355285347993,
  11.427579648693388,
  20.420768305890114,
  183.37161782397803,
  6.481279976581489,
  82.7757167603904,
  70.85665535152276,
  53.629308102033946,
  8.054558762236004,
  28.502999597316755,
  5.8114136043209,
  17.094526384754868,
  102.04927431591481,
  137.1723221032706,
  18.39955607882561,
  71.60453425965756,
  54.36918396632744,
  122.39906955640753,
  21.743071801971798,
  6.382171351311343,
  39.58477994424531,
  79.83333583129678,
  27.471517028235354,
  101.0958100940166,
  12.458749875296283,
  35.5362823362929,
  18.973708535229562,
  29.007283915540654,
  119.03480132379015,
  14.370474871760319,
  107.57229319575376,
  128.85492413183437,
  15.424596618057514,
  25.91120776702268,
  28.05188908458123,
  51.115624530423375,
  9.585459783574379,
  108.39176696803618,
  102.83759075310026,
  63.55153585559265,
  10.091066244682635,
  42.548204432669436,
  7.402120115929168,
  5.413109329363273,
  10.92734478820457,
  143.61513707152065,
  47.90826221880559,
  104.49122024750098,
  6.558999467282643,
  9.18019728630103,
  61.55515996280402,
  10.365326998488436,
  134.86316220187462,
  6.134058240569318,
  50.576795834160606,
  194.04970051316556,
  62.41450139309306,
  21.617732892951054,
  16.279892742662497,
  30.278221754573316,
  12.422325251034213,
  88.83480004555551,
  73.71552376142483,
  11.109757492905302,
  135.54169162653352,
  43.37455068279313,
  36.967797243051315,
  12.692219793427467,
  28.38149396946297,
  19.545389374425568,
  14.66973036641371,
  39.763077650196,
  6.647756229750916,
  8.482809177861105,
  14.95805279867264,
  194.36456979218843,
  38.35428194833429,
  73.17386322150094,
  72.93259736380101,
  5.938510918194854,
  55.82734415598627,
  7.1434890185394675,
  121.03440423609824,
  49.849109515900025,
  109.66253758495314,
  51.70850875754512,
  92.98001319650074,
  5.027057296398227,
  9.458449899123838,
  15.845229139433167,
  6.247269033806191,
  79.8178265145567,
  27.430204397293622,
  8.840134841861007,
  9.537493262294303,
  68.46921113228917,
  15.050552466355581,
  64.79369708117166,
  51.73885776536405,
  46.43504954634476,
  7.4843420691567095,
  10.348686276567083,
  94.05857599038822,
  61.94317633682053,
  41.970524120403155,
  5.486832342740818,
  11.202575997622302,
  61.39339436514673,
  131.9125827759807,
  82.76771386342574,
  26.58425773931289,
  72.56677578551391,
  35.83059349403709,
  8.102428369191886,
  97.04257133110755,
  13.04099347543401,
  54.24908806492988,
  54.71963128169783,
  13.803390895584474,
  22.4666254118823,
  42.57140028394485,
  56.0550716267531,
  17.596674575370503,
  16.58061664187511,
  10.924954210205492,
  50.455115314755346,
  8.531906167397967,
  92.63335435197442,
  17.250487673643015,
  97.81074854407531,
  37.21432487534806,
  16.19694879392828,
  30.784189526664036,
  10.081827301881141,
  15.258779518646074,
  11.376912833566644,
  98.49707386838935,
  74.2258299976322,
  28.167845229917297,
  20.151548936623822,
  28.48824210545778,
  75.4578042544921,
  7.329664237228582,
  12.777633649314165,
  80.43922494107649,
  6.101664285047597,
  56.20393408251901,
  95.85517457231347,
  45.249031236386806,
  58.849014205053166,
  44.986716325339,
  46.21839090878284,
  12.711146341878965,
  15.934046764324709,
  42.43367107061962,
  5.620703793239309,
  51.850614747367175,
  74.76665513600572,
  25.14525587273939,
  130.47720586590276,
  120.0843418173029,
  5.6729053490390235,
  141.50630744694564,
  11.349968431382633,
  36.675247297153994,
  10.933766298759348,
  244.10694276158955,
  63.541423434779226,
  21.72895110848304,
  19.606500238207158,
  12.598129203901838,
  67.31833762097752,
  45.9513928075955,
  101.22697457736811,
  20.77643473478817,
  35.206874973793354,
  40.315105898932565,
  71.96640766924644,
  20.92840049637055,
  8.955445058496887,
  33.263717685209926,
  14.213937399958295,
  5.6396902212676805,
  11.932262334203546,
  25.81367832325426,
  53.840203555303226,
  39.972727988115444,
  123.63927966708685,
  5.521436904847071,
  6.468084262743987,
  10.534839680570625,
  36.52504982536294,
  16.099523275621102,
  47.74139271214964,
  10.085559563659764,
  18.86688523178847,
  7.771492403748091,
  34.126255501881715,
  42.117041559909296,
  13.974868022671574,
  26.06408101045385,
  20.577572396572698,
  27.709994030188113,
  7.775457267100644,
  5.379702287817199,
  37.20954957945029,
  14.726338034223083,
  6.862393002622532,
  103.36006940753555,
  63.678585130177716,
  139.7012385794763,
  12.914340311388532,
  35.49165213082379,
  99.16363062420425,
  35.73370307143555,
  55.3290994082546,
  68.69859364835362,
  37.20420831264756,
  158.70937886715345,
  51.9243139017575,
  57.65664890493652,
  19.24951717922262,
  9.896528524751375,
  297.4118899285859,
  99.33345177902845,
  24.092301974156747,
  62.74137682519451,
  36.90887444815523,
  21.013476797068915,
  130.79282500700822,
  6.02374770948815,
  17.444903973018377,
  5.746758299934898,
  82.24477746067386,
  29.898743506979322,
  133.2261172187377,
  6.505847714966562,
  19.174661804711416,
  16.759072208603335,
  53.85564079462639,
  57.42513970362535,
  95.81642940980637,
  27.609963650131867,
  132.79119806731305,
  31.941021186731117,
  95.3841289927567,
  110.68223155332568,
  40.902505188502474,
  12.004877808262707,
  6.795716038653419,
  9.604023511282056,
  30.444898693102147,
  70.90048545450632,
  9.01606244740973,
  20.045887599153858,
  9.849312665103712,
  72.72796321152913,
  15.315499628305584,
  25.231862924601625,
  15.704268916916265,
  28.317492901545084,
  32.65381470293632,
  188.81000800645637,
  93.02242934534056,
  18.39017795910676,
  97.83083984580219,
  62.12529975843685,
  84.52020146637058,
  112.8809324656826,
  143.5417102935941,
  95.450570836128,
  52.59706642765173,
  28.61231314575776,
  13.265864179018775,
  11.476718139752265,
  16.43184227805527,
  53.25584971383671,
  34.126654430268296,
  61.336228915902666,
  71.3037529354306,
  86.70833357996958,
  6.2043450832649105,
  33.104176993208625,
  14.1355475458753,
  83.63609663512773,
  8.500529709145306,
  47.03836593325278,
  93.36637179473729,
  56.41577286757489,
  69.35200833376565,
  73.21308707476435,
  79.09353842250789,
  5.228374270580437,
  95.01004958019571,
  57.46287398888148,
  21.500246872833255,
  128.7761751663587,
  67.76672818560196,
  34.01030577332732,
  191.2932792287147,
  27.568609283441102,
  84.32286050123007,
  90.07051955833981,
  151.48811757027477,
  12.205872251595013,
  99.07314099010031,
  23.574928462036972,
  53.98528330964966,
  12.493046829463008,
  21.113543038805915,
  198.628258450777,
  7.079999040701776,
  24.520206091729815,
  68.1872113977195,
  11.466604451274389,
  14.634187181062662,
  21.63173367053834,
  64.1928159322367,
  135.1701838286378,
  130.86473161143874,
  95.25249462321952,
  6.245032257040048,
  44.47460914876126,
  29.516655550466222,
  21.191601087293478,
  34.197493689104334,
  19.98646938621292,
  5.35788456826736,
  80.0584009121088,
  16.998969119968045,
  30.598866122595947,
  14.522364352492907,
  21.135833258406358,
  35.11907028776954,
  103.40504377904993,
  14.903762939325825,
  67.12618739974003,
  36.22003590941007,
  7.341371828165273,
  12.314190493928066,
  83.01299926542089,
  27.682290222375652,
  107.1854154319101,
  23.49595154888414,
  9.585290625010131,
  66.7648672246598,
  56.355543589498154,
  25.92411126462953,
  40.008248156958494,
  37.21888598653611,
  7.818322398976962,
  15.966281132837361,
  50.35716533797063,
  10.634377648846211,
  178.12730267608308,
  49.85359653539733,
  11.378925179929729,
  22.088559494842226,
  189.28650905585263,
  33.47955259260632,
  15.54256756191276,
  110.15706373862584,
  5.730597928105436,
  29.467525361691738,
  11.176018263529302,
  266.05864186480255,
  61.71871715843335,
  5.1194997827951685,
  17.637120346234546,
  40.24765175206298,
  58.36618100093447,
  9.038631463179193,
  29.013615892769664,
  51.46021276165168,
  14.32988263247011,
  119.0055180503569,
  22.962664265904344,
  49.737155346347535,
  69.06938082847267,
  43.5665561906943,
  81.60563008243592,
  79.63302380487963,
  15.353226027645027,
  56.3705896486491,
  9.259555438394877,
  146.47445541408035,
  13.576549088068584,
  15.537642265485308,
  13.085783538902676,
  57.66068143300238,
  41.921626596955555,
  44.16893603805317,
  53.954184361278465,
  15.047895790504318,
  107.04505075237122,
  5.615784450398852,
  120.48569176134238,
  60.779892586968835,
  31.14488104540906,
  17.7027696782284,
  131.1784180720054,
  17.020846207707454,
  5.650723573437058,
  200.85170408498925,
  73.5327626628765,
  201.49224650772533,
  37.88652357236481,
  6.683228666868023,
  21.216173493303106,
  7.131660731267969,
  17.062618062503265,
  12.684357515391579,
  58.03480521457872,
  127.32713010990801,
  6.341006421329079,
  25.04204496433117,
  15.922070377616112,
  90.16544285885414,
  26.050822643841343,
  86.33681872695024,
  40.44117495755696,
  9.367170230419301,
  63.989491498000504,
  178.05856871536594,
  22.632326248059535,
  7.475139268077138,
  30.694941535351735,
  77.76945520570938,
  127.66313239374631,
  ...])


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

([3568087.6536442884,
  3572484.4906633203,
  3592561.984852291,
  3593072.8283792147,
  3614268.75,
  3620939.0625,
  3642968.3857835634,
  3647429.6875,
  3648034.431551762,
  3648599.094533088,
  3665578.601130058,
  3688667.0261037736,
  3703206.560235718,
  3716842.1875,
  3720732.8125,
  3722671.79733218,
  3729304.980705262,
  3729332.7206129148,
  3734250.6612032442,
  3763264.1341941413,
  3770833.8978557,
  3773869.740799681,
  3776417.2976013334,
  3776699.838799945,
  3787519.1370057627,
  3788671.875,
  3789653.3377642743,
  3794259.1809504395,
  3794363.728345003,
  3794432.5912608183,
  3795826.5625,
  3795853.4004524085,
  3798582.1185976807,
  3812767.1875,
  3812975.0,
  3821577.634369523,
  3829991.26217016,
  3835965.372353185,
  3836218.75,
  3837303.125,
  3838779.848362849,
  3838798.0726992995,
  3843856.4473634707,
  3845706.929920268,
  3856801.5625,
  3884478.8865003474,
  3887193.901923438,
  3890200.0,
  3892642.9170312122,
  3902843.75,
  3914253.8466721433,
  3926579.2749822405,
  3938012.5,
  3948692.115973122,
  3948983.7026204257,
  3949000.717050333,
  3961151.5625,
  3965016.690134964,
  3967458.69088884,
  3984462.5,
  3985225.4278033897,
  4001553.7257474926,
  4002606.7150049047,
  4016911.2266859547,
  4024378.4839128824,
  4024440.5011870554,
  4031822.7810412534,
  4033632.1772141857,
  4043639.0625,
  4065455.2822183687,
  4065960.428040228,
  4070483.152860454,
  4077692.4526899327,
  4084857.5585997803,
  4092248.4375,
  4093815.3618071894,
  4098262.9876926946,
  4100670.2206442663,
  4107692.118066807,
  4108004.8445667676,
  4108613.877817516,
  4109613.8404719406,
  4110451.2054393278,
  4125191.0274819536,
  4129173.77748974,
  4129444.59599475,
  4141403.6808922756,
  4158153.125,
  4168348.33712561,
  4170881.7546201437,
  4178877.177168179,
  4181544.7093867846,
  4183770.0983328237,
  4196728.125,
  4199268.53944339,
  4205196.875,
  4206856.991794685,
  4215078.125,
  4215304.336801294,
  4218114.495089604,
  4219471.355188522,
  4229346.875,
  4229707.8125,
  4234285.9375,
  4235834.630384445,
  4236577.952965543,
  4249996.388654094,
  4250002.628647754,
  4262783.113416358,
  4263715.625,
  4282963.081771146,
  4295149.1011865,
  4297780.735915039,
  4298548.4375,
  4302878.121831724,
  4303622.54439788,
  4304023.3290519435,
  4306251.5625,
  4306987.270876527,
  4313647.531380793,
  4314684.375,
  4323701.5625,
  4325973.4375,
  4331735.1670460645,
  4344061.11538914,
  4352734.242606959,
  4363837.898149827,
  4366615.625,
  4367718.09521446,
  4373729.222134735,
  4377722.9804813,
  4379065.625,
  4379365.625,
  4381806.773047505,
  4385400.585630784,
  4390707.194592746,
  4392213.29555786,
  4394050.027590032,
  4413535.922221913,
  4418624.005246404,
  4429629.104418705,
  4429834.116046537,
  4434028.565699932,
  4434455.95741732,
  4435514.878986751,
  4444050.770661312,
  4444635.9375,
  4445315.625,
  4446370.177809676,
  4453870.3125,
  4458950.0,
  4459711.73642058,
  4459828.372513673,
  4460380.114367577,
  4460621.019530764,
  4461922.830071015,
  4467220.3125,
  4468606.551317057,
  4469941.107099439,
  4473118.9698100295,
  4474880.747591727,
  4477785.053713778,
  4486841.477495021,
  4486959.375,
  4499075.0,
  4499770.089380372,
  4501486.70878891,
  4505145.6047360385,
  4508716.702323278,
  4508726.495504465,
  4509260.9375,
  4514336.572776134,
  4523681.783020551,
  4527572.4321345845,
  4532762.5,
  4534581.25,
  4534639.329609665,
  4538989.713176851,
  4540299.987821761,
  4542647.368210402,
  4543232.567691381,
  4547353.826045308,
  4549313.274392821,
  4554110.18504342,
  4554435.9375,
  4555203.125,
  4555622.728289911,
  4556324.737440674,
  4559326.5625,
  4563274.236631349,
  4563292.505315061,
  4564029.637492625,
  4564541.460876166,
  4569671.170395442,
  4571888.7867928585,
  4579238.877665904,
  4584788.837970589,
  4585523.732266024,
  4585545.08419846,
  4588324.334280329,
  4589367.212511599,
  4590579.571566408,
  4598065.115413578,
  4600848.963886901,
  4602339.214327944,
  4602595.3125,
  4602660.9375,
  4603492.26942713,
  4603836.175976713,
  4604166.450808984,
  4605753.630860872,
  4605988.76221706,
  4607361.691740123,
  4607508.536311662,
  4607723.0113172,
  4608756.651247464,
  4608968.403077775,
  4609804.685769895,
  4610267.774343637,
  4611190.542822777,
  4611748.4375,
  4613338.431808759,
  4613457.659009853,
  4615508.992175633,
  4616272.596229753,
  4616955.811351368,
  4617576.513449726,
  4617782.8125,
  4620436.488355367,
  4620466.513279048,
  4624767.982168657,
  4625044.894501913,
  4626619.115533884,
  4631477.158372559,
  4633423.10883438,
  4634531.25,
  4634538.908454639,
  4634548.260709371,
  4639284.030687847,
  4641675.332904711,
  4667137.5,
  4680437.164904906,
  4686409.375,
  4706752.565952804,
  4708220.553736398,
  4718109.51980132,
  4733916.046287973,
  4749583.495944627,
  4774340.625,
  4787699.970168421,
  4796864.317317292,
  4813151.5625,
  4839746.669799613,
  4840358.151675624,
  4840398.4375,
  4843732.8125,
  4844055.855798664,
  4844152.209289204,
  4845249.331684723,
  4845643.815165853,
  4845811.776217121,
  4849052.4427083535,
  4850385.9375,
  4854850.5591888325,
  4863339.941531198,
  4870598.274545295,
  4878281.25,
  4884426.8737663645,
  4887774.9855253585,
  4906303.076248639,
  4910012.619749279,
  4910304.005864336,
  4912258.909316698,
  4912266.096986656,
  4916355.78934658,
  4920328.449461159,
  4931616.780221179,
  4931663.062838933,
  4931679.308997876,
  4932302.688518498,
  4932302.897418399,
  4933359.824915929,
  4935403.125,
  4937371.097790952,
  4937453.447552863,
  4937906.164821495,
  4940688.101828483,
  4942923.305975193,
  4944276.5625,
  4944859.375,
  4948876.043961245,
  4949462.531590396,
  4950040.580134288,
  4951187.5,
  4951668.305351088,
  4952709.893540361,
  4953954.145432443,
  4954103.125,
  4971546.875,
  4974201.16624521,
  4994212.343035391,
  5008825.888605296,
  5013544.248859151,
  5032009.375,
  5036993.480240526,
  5039431.169901241,
  5042257.372939914,
  5043773.759432594,
  5092034.075263057,
  5106591.698082071,
  5110776.866161432,
  5120670.175048929,
  5123238.943572378,
  5126195.972882056,
  5134362.5,
  5134393.315684322,
  5142803.364379591,
  5144867.651937288,
  5149155.2773496555,
  5149916.176522019,
  5152215.14901494,
  5157262.011202008,
  5157392.10179279,
  5159879.47598629,
  5161196.749743353,
  5162812.5,
  5164415.066060107,
  5165353.5948698055,
  5165416.965968572,
  5165596.875,
  5167927.735350905,
  5171567.9446193,
  5171643.921829926,
  5172324.895719117,
  5173809.096123697,
  5189861.227016566,
  5193141.6879331255,
  5193362.182079574,
  5194109.375,
  5198415.366032545,
  5201736.298308441,
  5204038.861741115,
  5209771.525219174,
  5212656.25,
  5217388.434222764,
  5219453.264033489,
  5220467.1875,
  5222056.347521353,
  5224869.924628991,
  5226072.89895634,
  5228357.299871245,
  5229935.75855659,
  5232273.4375,
  5237352.250020372,
  5240242.1875,
  5244805.576418115,
  5246022.462618229,
  5248362.928734838,
  5249582.399297639,
  5250401.410281459,
  5252049.8689948665,
  5255560.714634434,
  5257222.890601399,
  5259137.659729479,
  5261295.049931753,
  5266364.038619202,
  5268424.563681966,
  5269021.199824827,
  5272797.617517271,
  5274388.113428667,
  5276580.603085354,
  5277562.5,
  5277631.324501911,
  5278620.3125,
  5281711.576380974,
  5282303.063612522,
  5284578.001417062,
  5284580.3485123115,
  5284745.576438495,
  5284896.388361712,
  5288082.043786776,
  5288092.147108891,
  5288480.520509515,
  5288764.537947169,
  5289117.292435902,
  5289407.8125,
  5289892.61155691,
  5290132.221288813,
  5290740.063670163,
  5293574.499181518,
  5294518.75,
  5295882.0579264555,
  5296429.50927499,
  5296910.9375,
  5297346.599068345,
  5297835.9375,
  5297873.4375,
  5298383.577135577,
  5298886.169107395,
  5299133.3141126875,
  5299505.903022059,
  5304666.46489176,
  5310507.939185563,
  5310637.5,
  5312765.915976455,
  5312787.869392759,
  5314678.945467233,
  5315700.131561919,
  5317006.274720059,
  5317450.0,
  5318713.496860173,
  5318724.769113575,
  5326807.8125,
  5330226.1975419875,
  5334254.6875,
  5335609.716719479,
  5339867.133509399,
  5341017.731560605,
  5343954.461125014,
  5352925.33119526,
  5357388.702665219,
  5369495.3125,
  5377955.373084736,
  5391664.986750789,
  5394070.3125,
  5397900.947058753,
  5397908.599202307,
  5398851.5625,
  5398905.088988661,
  5399903.100260478,
  5406664.0625,
  5408193.495628198,
  5408197.868428884,
  5408560.9375,
  5408768.911262968,
  5409377.895815076,
  5409581.25,
  5411440.443422317,
  5412692.1875,
  5412860.9375,
  5412872.625847472,
  5413890.886509449,
  5413995.7030792525,
  5414731.25,
  5418617.662769971,
  5418827.0126602715,
  5420902.972321748,
  5420967.1875,
  5421122.985753376,
  5425755.544170484,
  5435307.966390529,
  5438038.380575115,
  5440406.615500294,
  5443557.771432793,
  5444892.598677883,
  5455267.149981995,
  5465228.118261837,
  5465437.509672762,
  5467640.325592171,
  5478767.949092184,
  5485170.3125,
  5487280.387562843,
  5490655.383753986,
  5492774.208011053,
  5492817.1875,
  5495998.4375,
  5496714.0625,
  5500406.25,
  5500422.478018079,
  5500615.061379578,
  5503157.8125,
  5515068.37904729,
  5522828.490408703,
  5523220.268236069,
  5525290.8390444415,
  5525299.374655095,
  5531313.751236853,
  5538875.983193448,
  5545793.857621543,
  5547612.5,
  5553500.011012199,
  5554563.28562182,
  5578970.9974007895,
  5586339.577249637,
  5592676.763277314,
  5592685.879976398,
  5593140.625,
  5594263.895910686,
  5598755.190589595,
  5624065.625,
  5644840.475564016,
  5646734.375,
  5649825.903892452,
  5652315.112594648,
  5657295.029156505,
  5662346.17947626,
  5668249.045630218,
  5718662.5,
  5763034.231499881,
  5785840.107548917,
  5796534.375,
  5841261.641596891,
  5916814.025742718,
  6107323.4375,
  6107415.690723287,
  6108515.3495837,
  6108656.95861366,
  6114379.6875,
  6160278.110426569,
  6166696.965591164,
  6167284.216202108,
  6217844.8310330305,
  6220206.234525122,
  6233635.281594818,
  6233851.958593994,
  6370521.530149566,
  6373712.508142466,
  6375006.25,
  6377454.6875,
  6388613.891427633,
  6399884.375,
  6415873.413512747,
  6421580.918461385,
  6421872.699258532,
  6426789.9433654435,
  6426851.456082127,
  6427292.261700809,
  6427615.588533539,
  6429503.643597772,
  6429528.6127636265,
  6429543.11123569,
  6430794.436343251,
  6431554.284428097,
  6433262.369536637,
  6434520.2642257875,
  6434882.8125,
  6435557.645824582,
  6436288.361058191,
  6436414.0625,
  6436431.402815384,
  6436890.431154243,
  6437141.385524976,
  6437463.492550236,
  6437501.5625,
  6437508.957594308,
  6437582.8125,
  6437596.875,
  6437793.398846514,
  6437922.851684109,
  6438048.5464181295,
  6439467.1875,
  6439477.198737247,
  6439604.6875,
  6439685.27122936,
  6439891.927025416,
  6439907.990714699,
  6439956.25,
  6440075.870789414,
  6441290.334882268,
  6441295.458113261,
  6442137.5,
  6447215.582605436,
  6447590.625,
  6452810.192751082,
  6453842.1875,
  6457694.926550082,
  6457835.948215578,
  6458125.349446534,
  6458270.3125,
  6458751.928782484,
  6459231.691065544,
  6464855.472600588,
  6467392.371236404,
  6468480.8754521245,
  6481934.375,
  6494828.087828239,
  6494835.24798687,
  6498589.0625,
  6499650.0,
  6505451.096371032,
  6507339.061377622,
  6509099.965251012,
  6511427.03204402,
  6512595.3125,
  6512989.156095887,
  6513229.024211734,
  6514178.636895679,
  6514579.6875,
  6514737.5,
  6515568.27469861,
  6516016.4838660965,
  6517367.1875,
  6517978.072743718,
  6518671.129579059,
  6521668.605684693,
  6522933.524511705,
  6522990.298020782,
  6523925.766472526,
  6524131.25,
  6525726.884547575,
  6527571.704123268,
  6528017.1875,
  6529789.930727654,
  6534743.871221672,
  6538746.263862792,
  6543004.663152019,
  6545860.9375,
  6546764.3484184835,
  6547046.875,
  6550041.247347745,
  6553393.75,
  6553555.467319827,
  6558005.2903915355,
  6561119.719961095,
  6567425.377628225,
  6568504.555417833,
  6569473.4375,
  6570128.424152465,
  6571667.897211726,
  6571720.756378221,
  6572388.878093655,
  6572971.875,
  6574461.950575902,
  6574710.238373172,
  6574870.743152284,
  6575429.395089019,
  6575483.299614547,
  6593423.156712746,
  6597307.324903728,
  6598522.186791938,
  6600311.941513179,
  6601213.195646783,
  6603610.9375,
  6603831.25,
  6603904.675986158,
  6604521.875,
  6605231.25,
  6605417.1875,
  6605962.044260218,
  6607348.790310923,
  6607627.962567744,
  6608331.176820191,
  6610271.670914182,
  6611193.141176203,
  6611276.916015838,
  6612767.456001847,
  6613846.875,
  6616631.551240044,
  6617679.035967796,
  6623528.125,
  6624034.364721578,
  6627607.789325472,
  6631331.333175679,
  6636554.6875,
  6637616.825625267,
  6649810.752542689,
  6649908.439850275,
  6651119.3392973505,
  6651219.434823237,
  6651434.521525389,
  6652836.155983329,
  6653062.340614687,
  6653988.268827439,
  6654535.8796574585,
  6654586.855624624,
  6654592.421575361,
  6656946.875,
  6662534.403317557,
  6663692.1875,
  6665485.196400419,
  6671809.232923466,
  6672985.5963553665,
  6673450.999529561,
  6674767.751175244,
  6680212.5,
  6683797.456659126,
  6684616.196273009,
  6684929.734876694,
  6685951.5625,
  6687029.538916473,
  6688772.722154742,
  6688806.218231778,
  6692221.971552921,
  6692394.074303647,
  6695609.009744307,
  6696054.6875,
  6697405.033437537,
  6697558.30847802,
  6699481.25,
  6699771.5405039,
  6700118.34235101,
  6701088.9317370625,
  6701181.25,
  6704744.307127776,
  6704973.119762209,
  6705573.303793426,
  6706414.039835151,
  6707539.49929313,
  6708213.789223743,
  6708714.559975712,
  6709615.625,
  6712492.1875,
  6715970.607014493,
  6717209.305819116,
  6717530.459074475,
  6718143.830821616,
  6719584.528790959,
  6722722.940401226,
  6725695.3125,
  6726980.609938196,
  6729507.166607961,
  6730270.1619730005,
  6730915.378718992,
  6733900.736978891,
  6735064.91174994,
  6735139.0625,
  6736261.066942011,
  6737805.981442268,
  6737841.269289835,
  6737887.5,
  6738355.727158381,
  6740746.174714413,
  6740799.722668504,
  6741625.821498117,
  6742122.711297215,
  6742835.9375,
  6742925.119754759,
  6743479.6875,
  6745693.75,
  6745760.336581639,
  6745995.053532788,
  6746965.607491332,
  6746993.2046094425,
  6747490.999911164,
  6747581.387689874,
  6747590.625,
  6747959.247275447,
  6749639.5946546085,
  6749670.3125,
  6749852.0480696205,
  6750925.850011457,
  6752439.835799784,
  6752477.682996694,
  6752581.25,
  6752873.8394212555,
  6753682.2375258785,
  6753747.0493896315,
  6753792.1875,
  6754032.8125,
  6755308.816464887,
  6755913.58168247,
  6756163.825435023,
  6756324.795052384,
  6756417.641952941,
  6757136.899315919,
  6757254.533487458,
  6757438.711604754,
  6757525.0,
  6757534.538346207,
  6757546.632731823,
  6757703.002669091,
  6758151.146923125,
  6758587.5,
  6758994.023909321,
  6759114.115173691,
  6759125.023857656,
  6759294.501652263,
  6759561.379913637,
  6760480.663027435,
  6761806.25,
  6762434.095955851,
  6763187.361820996,
  6763319.715549112,
  6765132.824949693,
  6765295.764816888,
  6766866.687631701,
  6768058.799415037,
  6768539.004878154,
  6769884.850927858,
  6770153.125,
  6770650.770997007,
  6771596.756612468,
  6771976.437677667,
  6772297.234733835,
  6772470.3125,
  6772538.564039359,
  6772542.1875,
  6773251.272546911,
  6774319.957175286,
  6776118.75,
  6781643.75,
  6785182.708402723,
  6786172.280761253,
  6786749.037917449,
  6788339.97804816,
  6788573.777365078,
  6788619.009006003,
  6788700.6083720615,
  6789081.25,
  6791379.138037268,
  6791557.8125,
  6793071.232583168,
  6793973.968863786,
  6794734.98568828,
  6795246.875,
  6797107.407939951,
  6797434.70125529,
  6797742.306117443,
  6802083.606273746,
  6802747.864440224,
  6803043.75,
  6804795.3125,
  6804800.900782318,
  6805158.967854613,
  6810812.075659115,
  6810835.028952217,
  6812784.375,
  6812965.625,
  6813081.25,
  6813806.746994698,
  6814423.596722962,
  6814600.305729103,
  6815417.394001564,
  6816962.680926749,
  6818124.601930788,
  6820563.404058875,
  6822248.992465633,
  6822756.25,
  6822836.073772342,
  6824420.12023269,
  6825647.061691371,
  6826286.301844165,
  6827821.875,
  6828523.485128001,
  6829846.875,
  6830425.682769625,
  6831614.0625,
  6833030.6370870825,
  6833496.789067368,
  6833892.591275932,
  6834063.893116539,
  6834260.9375,
  6834609.375,
  6835448.4375,
  6835608.852877812,
  6836676.774872628,
  6836834.71782876,
  6837326.498747029,
  6838129.846156562,
  6838192.1875,
  6838320.3125,
  6838345.3125,
  6839096.360778519,
  6840912.334403686,
  6841120.083654826,
  6842709.76118552,
  6842772.258799513,
  6842957.591812118,
  6843168.087448814,
  6844087.5,
  6845442.1875,
  6845559.375,
  6846778.125,
  6846843.13951057,
  6847269.078541689,
  6847539.484246229,
  6848019.813216118,
  6848020.3125,
  6851503.712684874,
  6851675.0,
  6852559.026334751,
  6852902.766565795,
  6853517.1729365,
  6855541.39725295,
  6856489.0625,
  6857714.657773411,
  6857959.375,
  6858989.7416640585,
  6859729.6875,
  6860502.289787102,
  6861027.800085801,
  6861685.366740322,
  6862567.027424752,
  6863558.389140786,
  6863900.0,
  6864209.581510977,
  6864228.041964142,
  6865040.138785949,
  6865390.625,
  6866076.231461256,
  6866446.875,
  6866785.9375,
  6867440.447518262,
  6868847.202771558,
  6868877.776527397,
  6869850.390558337,
  6870365.645955156,
  6870954.02192751,
  6870958.271067675,
  6871282.197862573,
  6871834.717865755,
  6872036.308613338,
  6872044.527773235,
  6873780.713424028,
  6873834.094837914,
  6874548.4375,
  6876282.802561394,
  6876451.5625,
  6877163.046179291,
  6877227.337885743,
  6877333.458683468,
  6877412.5,
  6877571.830954125,
  6877595.144692141,
  6877980.886763727,
  6878214.348237319,
  6878359.539543437,
  6878363.554546753,
  6878812.121271983,
  6879073.4375,
  6879091.238573822,
  6879113.05794343,
  6879306.495170125,
  6879414.701400161,
  6879476.222160721,
  6879660.3722309405,
  6879969.474611648,
  6881953.279988526,
  6882035.495189732,
  6882083.493494836,
  6882807.748588418,
  6883362.649236495,
  6883406.165170224,
  6883414.430685074,
  6884006.25,
  6885082.843189854,
  6886452.04757177,
  6888035.752835721,
  6890235.415458987,
  6890658.376394469,
  6892127.810701171,
  6892385.9375,
  6892434.007194542,
  6892923.124512406,
  6893151.5625,
  6893893.8165152185,
  6893918.75,
  6894149.677285589,
  6894628.125,
  6894631.25,
  6894634.676485134,
  6894679.28149637,
  6894696.389972838,
  6895223.541481852,
  6895334.137617051,
  6895751.476288999,
  6895939.405953628,
  6896049.588986057,
  6896253.273078677,
  6896450.972364391,
  6896548.235225082,
  6897107.8125,
  6897254.6875,
  6897670.3125,
  6897987.527634493,
  6898010.156451933,
  6898043.781414814,
  6898114.843891611,
  6898143.75,
  6898273.4375,
  6898329.250058817,
  6898452.6233232,
  6898530.143609464,
  6898603.769509643,
  6898633.032754818,
  6898660.409253691,
  6898790.6553665735,
  6898932.680882533,
  6899154.271636392,
  6899307.28428397,
  6899342.226195188,
  6899420.021835642,
  6899432.060191515,
  6899593.086582834,
  6899629.255491887,
  6899856.812679768,
  6900176.357286913,
  6900176.654139712,
  6900364.0625,
  6900440.3066347,
  6900459.375,
  6900503.125,
  6900643.791999285,
  6900737.5,
  6900932.555209946,
  6901501.584614029,
  6901615.256372315,
  6902056.25,
  6902129.809479026,
  6902794.966702415,
  ...],
 [5.952898419370792,
  9.43115614862965,
  75.75896495773972,
  20.469505934699736,
  65.01121067030694,
  43.57584802183509,
  99.79770022009014,
  72.93778007031472,
  11.217266528065743,
  29.384477059542135,
  54.5525719685574,
  10.88446949077907,
  23.545156887566684,
  59.1791836199875,
  54.179826742618836,
  27.07735304824963,
  5.136818371667631,
  26.83084592768343,
  20.30842159078869,
  16.949617184256134,
  15.753581423941604,
  21.93474881371258,
  15.378454454774555,
  25.7019046807669,
  9.68157920786477,
  50.684585777366884,
  8.402389295526708,
  6.242989007223421,
  65.69994059530586,
  5.037835246501236,
  61.210797141455394,
  38.792180493449436,
  54.654974153110345,
  65.59919094695204,
  50.23206075917789,
  8.948360568760478,
  8.654944770187386,
  24.375064318100804,
  75.98642313992099,
  41.860024237509116,
  11.388812850251874,
  19.044277196179493,
  8.39377882217279,
  18.37113155703848,
  70.3954184556357,
  18.238665817256237,
  9.463253894877608,
  45.876793676598155,
  15.746666508042173,
  38.05402365266801,
  6.36289548881951,
  13.572199804018599,
  55.223199320296345,
  27.18549169136382,
  19.93017083276032,
  51.66769247148135,
  66.89825874913292,
  6.668114058329887,
  12.848589793126493,
  62.450215224797695,
  36.04445746603973,
  17.86180185873333,
  11.941650601199884,
  98.2409012884593,
  22.82630991297769,
  5.607231036724131,
  14.034722815997501,
  8.846391796147852,
  65.38978443109107,
  5.562657477201832,
  21.399250163182206,
  28.401280390739146,
  16.058776485542325,
  158.17555362545582,
  59.75974441228347,
  21.22863893572172,
  11.986384436817959,
  6.255662396260217,
  11.02088531456302,
  6.287248689212285,
  9.179977727212577,
  14.157782225565024,
  23.048244384949978,
  24.86820349083165,
  69.03350263709238,
  98.51345319141964,
  35.55222546922499,
  65.24475274015829,
  26.68623941026251,
  6.333130541820419,
  22.45515981732627,
  20.522671725677018,
  10.808675385009446,
  114.22512450468086,
  31.929852181560356,
  62.60988947422945,
  19.15815558250275,
  38.61096819918357,
  75.03121337974176,
  11.87863709503796,
  13.272112587297787,
  42.08248524454554,
  48.65742974815856,
  32.22954471991011,
  82.7650263503486,
  63.17608529649567,
  19.69139343489877,
  28.429035639846806,
  11.633057866596152,
  71.66462326044426,
  7.283266968828865,
  64.95857406721078,
  21.353736555961955,
  42.85348075086555,
  6.7628742115583265,
  95.33964616956962,
  5.699890671714132,
  103.63262610580384,
  60.387383876920694,
  18.215736068310953,
  65.04578228041998,
  103.92998799918075,
  51.653941513826865,
  5.496820959123779,
  41.7465717904008,
  60.40610112657567,
  11.812822195069359,
  87.12196533665596,
  29.618181013258727,
  43.18339261011242,
  21.932851390200103,
  52.54353358010839,
  70.87231785855616,
  16.101504304493094,
  19.737138476463052,
  8.858403146440063,
  68.26857723868376,
  11.171107390552365,
  61.77222999063184,
  83.8427516645433,
  38.873387636015494,
  9.121638561578918,
  31.449930684109948,
  10.699234439693303,
  12.69925168664804,
  8.74099811676128,
  120.16162016952157,
  51.98057610335687,
  8.21661237917755,
  76.6011307277617,
  35.512425492375975,
  40.3899131149762,
  9.549842349977586,
  32.80224112354378,
  8.699555781144875,
  101.50381642697079,
  34.555030213055275,
  5.726206787238052,
  70.45443073320611,
  41.839723337767325,
  65.69235586241106,
  7.312076386977089,
  24.68403075248301,
  47.12511066152342,
  53.68257412184936,
  14.154215186159357,
  43.07355088293693,
  16.186096506931865,
  7.436702999246579,
  62.63563319404301,
  73.65482777676463,
  28.243916740212587,
  67.9305632057229,
  21.253826273607764,
  74.67615463358842,
  79.01238952821357,
  5.546186188872707,
  6.594168762106872,
  28.28614069112486,
  11.997343447636192,
  10.765465380122569,
  7.318792878398419,
  19.031443946580737,
  32.09507128395643,
  72.483227694164,
  60.87444551381204,
  5.318193121354713,
  5.03714690656259,
  43.483139579225565,
  7.920323744593757,
  22.842960022045133,
  9.28947405662491,
  54.119596283654204,
  19.669056940068987,
  24.066089611982886,
  14.280893285658424,
  67.5006204302983,
  11.621977435827013,
  7.522700561004035,
  32.690022694977245,
  103.1059244903283,
  14.517300407218457,
  7.428771934429796,
  17.41598561305462,
  11.373616744985432,
  52.6861184057731,
  101.07586096457969,
  11.258225232460015,
  15.93568102292642,
  28.51404838864849,
  6.868882386640167,
  29.935563663739014,
  18.885425815167494,
  18.670370983377126,
  17.669432567995973,
  25.982437389995617,
  23.16932491634404,
  47.67614290925224,
  9.882343411368355,
  5.701547914217666,
  119.01699049033435,
  26.66712840768801,
  8.207043424853403,
  22.74744857020953,
  12.479412024618203,
  21.66663330712342,
  5.530704703014256,
  59.215066974334135,
  94.40951140360359,
  55.82461809096195,
  7.347284455827203,
  5.15573967265272,
  7.741021042718735,
  9.89177088054146,
  23.391356244830675,
  43.32245678149325,
  25.813165296961188,
  6.728717587081795,
  63.11567285418319,
  16.38283751724062,
  47.21669561921034,
  13.801571898987117,
  98.3784888687675,
  32.722413948489745,
  123.23272361609844,
  7.656463125250251,
  20.399358213013453,
  95.58311495864908,
  43.37901411197833,
  11.081396092285056,
  16.01066998336426,
  61.82302136613553,
  25.0422294868234,
  32.91598239627128,
  34.805533250287624,
  78.34534990824454,
  66.55291199842863,
  18.15339965538726,
  8.823738180950892,
  62.13617016451471,
  6.179888667432159,
  19.848912766412006,
  98.88820858277033,
  12.130861561695665,
  32.097367663315445,
  68.087112312624,
  45.17853635899041,
  30.117295329787027,
  85.07761906223949,
  8.260963954780728,
  130.25643539753779,
  58.39491889031423,
  44.593069161499585,
  5.640700342724626,
  6.041470463502624,
  9.62169774165857,
  78.39577121623766,
  30.173213499317818,
  120.93820239589871,
  29.201821607208707,
  54.87074571264932,
  11.912188008318392,
  64.75323145564693,
  19.111635030589998,
  11.6723074353859,
  67.5357760761506,
  55.45248099259656,
  114.13810726272074,
  63.727553275802165,
  55.79981856687093,
  30.454244976421993,
  7.129780645651795,
  27.66715687079912,
  49.22472294358667,
  29.665518254895638,
  27.82122822984186,
  48.39934649346341,
  37.888440754978454,
  29.049701541326233,
  22.59444868253863,
  5.066053051949825,
  11.5318015957819,
  9.792123044199501,
  53.619350590150056,
  9.113267444953468,
  27.03482778428688,
  7.451634080329348,
  15.299148694991597,
  23.56523808435235,
  5.6763023848682,
  7.203630346160967,
  43.57162744578946,
  26.376514452193092,
  18.24190713993661,
  45.42957384519709,
  22.17435431133248,
  15.939799290630177,
  6.859910708013752,
  6.344713439394875,
  12.115108017108499,
  104.09824222158328,
  53.90921933410614,
  141.05219933172035,
  24.950904003252784,
  8.221431891631163,
  85.00738665487779,
  8.011577649568023,
  11.951198675795446,
  147.80676337796555,
  67.99454202512928,
  45.58430202368801,
  65.56798105674116,
  80.16623267218489,
  41.993546831034266,
  17.91417553146542,
  72.252279420424,
  13.3272324214714,
  96.78975537615233,
  92.21277613166464,
  7.055001219197243,
  28.914752372161,
  14.227806828198913,
  34.61644281927155,
  37.956970969417966,
  59.486397317012866,
  5.8243396785542725,
  49.44847915745082,
  40.25364686169532,
  17.880446196716832,
  31.786461934862036,
  111.86728050835924,
  25.43089399574107,
  44.31533217600991,
  15.126033739052254,
  64.87787102803401,
  12.8745239324638,
  63.46157231569481,
  24.924873904639043,
  13.57022117838894,
  70.55822502406203,
  117.58173652595357,
  6.4527135341751745,
  35.16701103087939,
  15.587402490831472,
  24.240953442794275,
  28.060797131673223,
  31.819322579457037,
  5.22663345849382,
  15.484467976776038,
  91.30381462092893,
  6.961183328017855,
  39.03534803686078,
  5.344481088077237,
  72.78074487241072,
  83.48604146232192,
  27.366309728593773,
  44.2766336359023,
  48.97995048063861,
  13.157727051292383,
  10.443673451563141,
  7.917998754438494,
  34.3981475182591,
  115.93230011161506,
  15.256578171858312,
  9.421737050180909,
  51.417168724094715,
  16.84844847953326,
  8.876979516382018,
  22.430099566113448,
  114.99081549108656,
  54.66305507345574,
  14.466497409369513,
  71.610205452246,
  43.98310249190735,
  71.39477003723835,
  50.133730465399246,
  98.21512888894259,
  30.11483347644954,
  70.31558018830269,
  17.273911962524263,
  9.054290339951283,
  181.59951442241635,
  15.447409787017675,
  37.60383544894711,
  16.18010562506698,
  11.758740634725058,
  15.653260461796101,
  117.34202771316927,
  91.55033496578798,
  43.50782788880423,
  20.86237962379172,
  24.67562930471355,
  41.116246392081486,
  59.116655141210416,
  52.70925506955481,
  16.42634488997715,
  60.68257314869617,
  30.66672931039983,
  14.14359266318868,
  100.87921897899555,
  13.727049338602882,
  73.6826768312963,
  341.0428239142008,
  20.21659964515447,
  86.11621574708361,
  20.413946830503182,
  10.098800868705606,
  117.8462486922821,
  5.076270684722717,
  14.848044990073056,
  213.68038787667217,
  7.513755752821478,
  5.229492493088212,
  42.23748831327691,
  27.43928621618148,
  44.633245038960794,
  50.533198890014965,
  37.58983366485809,
  35.20808086133845,
  53.63734792869985,
  18.86112897351052,
  44.17680975151901,
  16.673319031605544,
  63.98860771012033,
  17.126190471353336,
  16.98848976538248,
  25.834556817427067,
  53.6145566893428,
  5.678598433541107,
  12.795590911908423,
  129.4847273759125,
  7.956130523618067,
  16.545303728539484,
  38.93114504515246,
  8.516681068412296,
  13.40449102362243,
  14.91588874772548,
  9.339595454339333,
  57.345831145963984,
  23.5932558991692,
  148.11087801234615,
  78.76404217348264,
  25.742593616971437,
  87.26734140052999,
  33.058366275713205,
  54.06069019056797,
  99.76871431762555,
  33.60132636787033,
  5.488258012657447,
  7.411359022617441,
  41.19120126846809,
  13.693939989889127,
  14.305071089396328,
  98.17146977078617,
  34.988741741957696,
  20.327655595775237,
  64.45729766066977,
  20.73684718353528,
  9.424091879753684,
  144.71729303379857,
  20.90040127851355,
  17.782952601635657,
  121.8623540631836,
  17.348862316530038,
  31.62642610184531,
  113.63433766098504,
  28.65625145663909,
  14.342418331716454,
  122.36801228645723,
  164.30516123615354,
  74.4968024094868,
  77.42859481968777,
  46.31729665298185,
  19.722216648036564,
  30.528539178908854,
  88.2926387212901,
  9.904621018179958,
  41.989072440628036,
  101.45163958343458,
  7.42622522801048,
  72.71121327999764,
  145.6907398368199,
  11.070734786528122,
  50.56718881277092,
  7.138836151348387,
  56.981696705380294,
  18.5653215301563,
  97.84848011793122,
  87.65198824218628,
  75.7058889895482,
  16.469314974263252,
  7.437911914021712,
  14.882852667767937,
  20.067125874477167,
  32.54919161493599,
  10.628319465007527,
  9.338297591864555,
  90.68899255966697,
  58.2639435873789,
  24.927454133399703,
  112.9975716307371,
  148.88917121229713,
  6.699074554312535,
  19.40566987405193,
  6.019972017363298,
  9.243013150061199,
  38.213420687211034,
  19.77355140062785,
  49.17095808669317,
  5.738520075943288,
  58.83595916706938,
  8.68624955814454,
  55.139490553515245,
  62.36257726468756,
  18.96076889810425,
  110.06162264978073,
  79.27996202736838,
  19.69429654920721,
  72.3440073515494,
  6.511316202908702,
  75.25544360107396,
  12.568683943520911,
  5.891261554299944,
  30.657944455316205,
  27.529503832035164,
  55.993497394728855,
  36.05531344874883,
  193.8950580008612,
  13.097004665660563,
  63.20103882019448,
  79.56081386620744,
  37.61061566145861,
  46.016740316085844,
  6.956671739591337,
  87.20673421770208,
  28.6199884680733,
  117.88956096085204,
  17.766983628489903,
  23.877800071731652,
  15.527168913789852,
  36.30474849743873,
  36.315393876416145,
  28.690814854724493,
  28.915195063911877,
  40.139997510084065,
  22.711613685922583,
  14.982510087480344,
  5.633673368553024,
  58.37025344700606,
  25.443370286346813,
  5.638920022880592,
  14.859355285347993,
  11.427579648693388,
  20.420768305890114,
  183.37161782397803,
  6.481279976581489,
  82.7757167603904,
  70.85665535152276,
  53.629308102033946,
  8.054558762236004,
  28.502999597316755,
  5.8114136043209,
  17.094526384754868,
  102.04927431591481,
  137.1723221032706,
  18.39955607882561,
  71.60453425965756,
  54.36918396632744,
  122.39906955640753,
  21.743071801971798,
  6.382171351311343,
  39.58477994424531,
  79.83333583129678,
  27.471517028235354,
  101.0958100940166,
  12.458749875296283,
  35.5362823362929,
  18.973708535229562,
  29.007283915540654,
  119.03480132379015,
  14.370474871760319,
  107.57229319575376,
  128.85492413183437,
  15.424596618057514,
  25.91120776702268,
  28.05188908458123,
  51.115624530423375,
  9.585459783574379,
  108.39176696803618,
  102.83759075310026,
  63.55153585559265,
  10.091066244682635,
  42.548204432669436,
  7.402120115929168,
  5.413109329363273,
  10.92734478820457,
  143.61513707152065,
  47.90826221880559,
  104.49122024750098,
  6.558999467282643,
  9.18019728630103,
  61.55515996280402,
  10.365326998488436,
  134.86316220187462,
  6.134058240569318,
  50.576795834160606,
  194.04970051316556,
  62.41450139309306,
  21.617732892951054,
  16.279892742662497,
  30.278221754573316,
  12.422325251034213,
  88.83480004555551,
  73.71552376142483,
  11.109757492905302,
  135.54169162653352,
  43.37455068279313,
  36.967797243051315,
  12.692219793427467,
  28.38149396946297,
  19.545389374425568,
  14.66973036641371,
  39.763077650196,
  6.647756229750916,
  8.482809177861105,
  14.95805279867264,
  194.36456979218843,
  38.35428194833429,
  73.17386322150094,
  72.93259736380101,
  5.938510918194854,
  55.82734415598627,
  7.1434890185394675,
  121.03440423609824,
  49.849109515900025,
  109.66253758495314,
  51.70850875754512,
  92.98001319650074,
  5.027057296398227,
  9.458449899123838,
  15.845229139433167,
  6.247269033806191,
  79.8178265145567,
  27.430204397293622,
  8.840134841861007,
  9.537493262294303,
  68.46921113228917,
  15.050552466355581,
  64.79369708117166,
  51.73885776536405,
  46.43504954634476,
  7.4843420691567095,
  10.348686276567083,
  94.05857599038822,
  61.94317633682053,
  41.970524120403155,
  5.486832342740818,
  11.202575997622302,
  61.39339436514673,
  131.9125827759807,
  82.76771386342574,
  26.58425773931289,
  72.56677578551391,
  35.83059349403709,
  8.102428369191886,
  97.04257133110755,
  13.04099347543401,
  54.24908806492988,
  54.71963128169783,
  13.803390895584474,
  22.4666254118823,
  42.57140028394485,
  56.0550716267531,
  17.596674575370503,
  16.58061664187511,
  10.924954210205492,
  50.455115314755346,
  8.531906167397967,
  92.63335435197442,
  17.250487673643015,
  97.81074854407531,
  37.21432487534806,
  16.19694879392828,
  30.784189526664036,
  10.081827301881141,
  15.258779518646074,
  11.376912833566644,
  98.49707386838935,
  74.2258299976322,
  28.167845229917297,
  20.151548936623822,
  28.48824210545778,
  75.4578042544921,
  7.329664237228582,
  12.777633649314165,
  80.43922494107649,
  6.101664285047597,
  56.20393408251901,
  95.85517457231347,
  45.249031236386806,
  58.849014205053166,
  44.986716325339,
  46.21839090878284,
  12.711146341878965,
  15.934046764324709,
  42.43367107061962,
  5.620703793239309,
  51.850614747367175,
  74.76665513600572,
  25.14525587273939,
  130.47720586590276,
  120.0843418173029,
  5.6729053490390235,
  141.50630744694564,
  11.349968431382633,
  36.675247297153994,
  10.933766298759348,
  244.10694276158955,
  63.541423434779226,
  21.72895110848304,
  19.606500238207158,
  12.598129203901838,
  67.31833762097752,
  45.9513928075955,
  101.22697457736811,
  20.77643473478817,
  35.206874973793354,
  40.315105898932565,
  71.96640766924644,
  20.92840049637055,
  8.955445058496887,
  33.263717685209926,
  14.213937399958295,
  5.6396902212676805,
  11.932262334203546,
  25.81367832325426,
  53.840203555303226,
  39.972727988115444,
  123.63927966708685,
  5.521436904847071,
  6.468084262743987,
  10.534839680570625,
  36.52504982536294,
  16.099523275621102,
  47.74139271214964,
  10.085559563659764,
  18.86688523178847,
  7.771492403748091,
  34.126255501881715,
  42.117041559909296,
  13.974868022671574,
  26.06408101045385,
  20.577572396572698,
  27.709994030188113,
  7.775457267100644,
  5.379702287817199,
  37.20954957945029,
  14.726338034223083,
  6.862393002622532,
  103.36006940753555,
  63.678585130177716,
  139.7012385794763,
  12.914340311388532,
  35.49165213082379,
  99.16363062420425,
  35.73370307143555,
  55.3290994082546,
  68.69859364835362,
  37.20420831264756,
  158.70937886715345,
  51.9243139017575,
  57.65664890493652,
  19.24951717922262,
  9.896528524751375,
  297.4118899285859,
  99.33345177902845,
  24.092301974156747,
  62.74137682519451,
  36.90887444815523,
  21.013476797068915,
  130.79282500700822,
  6.02374770948815,
  17.444903973018377,
  5.746758299934898,
  82.24477746067386,
  29.898743506979322,
  133.2261172187377,
  6.505847714966562,
  19.174661804711416,
  16.759072208603335,
  53.85564079462639,
  57.42513970362535,
  95.81642940980637,
  27.609963650131867,
  132.79119806731305,
  31.941021186731117,
  95.3841289927567,
  110.68223155332568,
  40.902505188502474,
  12.004877808262707,
  6.795716038653419,
  9.604023511282056,
  30.444898693102147,
  70.90048545450632,
  9.01606244740973,
  20.045887599153858,
  9.849312665103712,
  72.72796321152913,
  15.315499628305584,
  25.231862924601625,
  15.704268916916265,
  28.317492901545084,
  32.65381470293632,
  188.81000800645637,
  93.02242934534056,
  18.39017795910676,
  97.83083984580219,
  62.12529975843685,
  84.52020146637058,
  112.8809324656826,
  143.5417102935941,
  95.450570836128,
  52.59706642765173,
  28.61231314575776,
  13.265864179018775,
  11.476718139752265,
  16.43184227805527,
  53.25584971383671,
  34.126654430268296,
  61.336228915902666,
  71.3037529354306,
  86.70833357996958,
  6.2043450832649105,
  33.104176993208625,
  14.1355475458753,
  83.63609663512773,
  8.500529709145306,
  47.03836593325278,
  93.36637179473729,
  56.41577286757489,
  69.35200833376565,
  73.21308707476435,
  79.09353842250789,
  5.228374270580437,
  95.01004958019571,
  57.46287398888148,
  21.500246872833255,
  128.7761751663587,
  67.76672818560196,
  34.01030577332732,
  191.2932792287147,
  27.568609283441102,
  84.32286050123007,
  90.07051955833981,
  151.48811757027477,
  12.205872251595013,
  99.07314099010031,
  23.574928462036972,
  53.98528330964966,
  12.493046829463008,
  21.113543038805915,
  198.628258450777,
  7.079999040701776,
  24.520206091729815,
  68.1872113977195,
  11.466604451274389,
  14.634187181062662,
  21.63173367053834,
  64.1928159322367,
  135.1701838286378,
  130.86473161143874,
  95.25249462321952,
  6.245032257040048,
  44.47460914876126,
  29.516655550466222,
  21.191601087293478,
  34.197493689104334,
  19.98646938621292,
  5.35788456826736,
  80.0584009121088,
  16.998969119968045,
  30.598866122595947,
  14.522364352492907,
  21.135833258406358,
  35.11907028776954,
  103.40504377904993,
  14.903762939325825,
  67.12618739974003,
  36.22003590941007,
  7.341371828165273,
  12.314190493928066,
  83.01299926542089,
  27.682290222375652,
  107.1854154319101,
  23.49595154888414,
  9.585290625010131,
  66.7648672246598,
  56.355543589498154,
  25.92411126462953,
  40.008248156958494,
  37.21888598653611,
  7.818322398976962,
  15.966281132837361,
  50.35716533797063,
  10.634377648846211,
  178.12730267608308,
  49.85359653539733,
  11.378925179929729,
  22.088559494842226,
  189.28650905585263,
  33.47955259260632,
  15.54256756191276,
  110.15706373862584,
  5.730597928105436,
  29.467525361691738,
  11.176018263529302,
  266.05864186480255,
  61.71871715843335,
  5.1194997827951685,
  17.637120346234546,
  40.24765175206298,
  58.36618100093447,
  9.038631463179193,
  29.013615892769664,
  51.46021276165168,
  14.32988263247011,
  119.0055180503569,
  22.962664265904344,
  49.737155346347535,
  69.06938082847267,
  43.5665561906943,
  81.60563008243592,
  79.63302380487963,
  15.353226027645027,
  56.3705896486491,
  9.259555438394877,
  146.47445541408035,
  13.576549088068584,
  15.537642265485308,
  13.085783538902676,
  57.66068143300238,
  41.921626596955555,
  44.16893603805317,
  53.954184361278465,
  15.047895790504318,
  107.04505075237122,
  5.615784450398852,
  120.48569176134238,
  60.779892586968835,
  31.14488104540906,
  17.7027696782284,
  131.1784180720054,
  17.020846207707454,
  5.650723573437058,
  200.85170408498925,
  73.5327626628765,
  201.49224650772533,
  37.88652357236481,
  6.683228666868023,
  21.216173493303106,
  7.131660731267969,
  17.062618062503265,
  12.684357515391579,
  58.03480521457872,
  127.32713010990801,
  6.341006421329079,
  25.04204496433117,
  15.922070377616112,
  90.16544285885414,
  26.050822643841343,
  86.33681872695024,
  40.44117495755696,
  9.367170230419301,
  63.989491498000504,
  178.05856871536594,
  22.632326248059535,
  7.475139268077138,
  30.694941535351735,
  77.76945520570938,
  127.66313239374631,
  ...])


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);

([3568087.6536442884,
  3572484.4906633203,
  3592561.984852291,
  3593072.8283792147,
  3614268.75,
  3620939.0625,
  3642968.3857835634,
  3647429.6875,
  3648034.431551762,
  3648599.094533088,
  3665578.601130058,
  3688667.0261037736,
  3703206.560235718,
  3716842.1875,
  3720732.8125,
  3722671.79733218,
  3729304.980705262,
  3729332.7206129148,
  3734250.6612032442,
  3763264.1341941413,
  3770833.8978557,
  3773869.740799681,
  3776417.2976013334,
  3776699.838799945,
  3787519.1370057627,
  3788671.875,
  3789653.3377642743,
  3794259.1809504395,
  3794363.728345003,
  3794432.5912608183,
  3795826.5625,
  3795853.4004524085,
  3798582.1185976807,
  3812767.1875,
  3812975.0,
  3821577.634369523,
  3829991.26217016,
  3835965.372353185,
  3836218.75,
  3837303.125,
  3838779.848362849,
  3838798.0726992995,
  3843856.4473634707,
  3845706.929920268,
  3856801.5625,
  3884478.8865003474,
  3887193.901923438,
  3890200.0,
  3892642.9170312122,
  3902843.75,
  3914253.8466721433,
  3926579.2749822405,
  3938012.5,
  3948692.115973122,
  3948983.7026204257,
  3949000.717050333,
  3961151.5625,
  3965016.690134964,
  3967458.69088884,
  3984462.5,
  3985225.4278033897,
  4001553.7257474926,
  4002606.7150049047,
  4016911.2266859547,
  4024378.4839128824,
  4024440.5011870554,
  4031822.7810412534,
  4033632.1772141857,
  4043639.0625,
  4065455.2822183687,
  4065960.428040228,
  4070483.152860454,
  4077692.4526899327,
  4084857.5585997803,
  4092248.4375,
  4093815.3618071894,
  4098262.9876926946,
  4100670.2206442663,
  4107692.118066807,
  4108004.8445667676,
  4108613.877817516,
  4109613.8404719406,
  4110451.2054393278,
  4125191.0274819536,
  4129173.77748974,
  4129444.59599475,
  4141403.6808922756,
  4158153.125,
  4168348.33712561,
  4170881.7546201437,
  4178877.177168179,
  4181544.7093867846,
  4183770.0983328237,
  4196728.125,
  4199268.53944339,
  4205196.875,
  4206856.991794685,
  4215078.125,
  4215304.336801294,
  4218114.495089604,
  4219471.355188522,
  4229346.875,
  4229707.8125,
  4234285.9375,
  4235834.630384445,
  4236577.952965543,
  4249996.388654094,
  4250002.628647754,
  4262783.113416358,
  4263715.625,
  4282963.081771146,
  4295149.1011865,
  4297780.735915039,
  4298548.4375,
  4302878.121831724,
  4303622.54439788,
  4304023.3290519435,
  4306251.5625,
  4306987.270876527,
  4313647.531380793,
  4314684.375,
  4323701.5625,
  4325973.4375,
  4331735.1670460645,
  4344061.11538914,
  4352734.242606959,
  4363837.898149827,
  4366615.625,
  4367718.09521446,
  4373729.222134735,
  4377722.9804813,
  4379065.625,
  4379365.625,
  4381806.773047505,
  4385400.585630784,
  4390707.194592746,
  4392213.29555786,
  4394050.027590032,
  4413535.922221913,
  4418624.005246404,
  4429629.104418705,
  4429834.116046537,
  4434028.565699932,
  4434455.95741732,
  4435514.878986751,
  4444050.770661312,
  4444635.9375,
  4445315.625,
  4446370.177809676,
  4453870.3125,
  4458950.0,
  4459711.73642058,
  4459828.372513673,
  4460380.114367577,
  4460621.019530764,
  4461922.830071015,
  4467220.3125,
  4468606.551317057,
  4469941.107099439,
  4473118.9698100295,
  4474880.747591727,
  4477785.053713778,
  4486841.477495021,
  4486959.375,
  4499075.0,
  4499770.089380372,
  4501486.70878891,
  4505145.6047360385,
  4508716.702323278,
  4508726.495504465,
  4509260.9375,
  4514336.572776134,
  4523681.783020551,
  4527572.4321345845,
  4532762.5,
  4534581.25,
  4534639.329609665,
  4538989.713176851,
  4540299.987821761,
  4542647.368210402,
  4543232.567691381,
  4547353.826045308,
  4549313.274392821,
  4554110.18504342,
  4554435.9375,
  4555203.125,
  4555622.728289911,
  4556324.737440674,
  4559326.5625,
  4563274.236631349,
  4563292.505315061,
  4564029.637492625,
  4564541.460876166,
  4569671.170395442,
  4571888.7867928585,
  4579238.877665904,
  4584788.837970589,
  4585523.732266024,
  4585545.08419846,
  4588324.334280329,
  4589367.212511599,
  4590579.571566408,
  4598065.115413578,
  4600848.963886901,
  4602339.214327944,
  4602595.3125,
  4602660.9375,
  4603492.26942713,
  4603836.175976713,
  4604166.450808984,
  4605753.630860872,
  4605988.76221706,
  4607361.691740123,
  4607508.536311662,
  4607723.0113172,
  4608756.651247464,
  4608968.403077775,
  4609804.685769895,
  4610267.774343637,
  4611190.542822777,
  4611748.4375,
  4613338.431808759,
  4613457.659009853,
  4615508.992175633,
  4616272.596229753,
  4616955.811351368,
  4617576.513449726,
  4617782.8125,
  4620436.488355367,
  4620466.513279048,
  4624767.982168657,
  4625044.894501913,
  4626619.115533884,
  4631477.158372559,
  4633423.10883438,
  4634531.25,
  4634538.908454639,
  4634548.260709371,
  4639284.030687847,
  4641675.332904711,
  4667137.5,
  4680437.164904906,
  4686409.375,
  4706752.565952804,
  4708220.553736398,
  4718109.51980132,
  4733916.046287973,
  4749583.495944627,
  4774340.625,
  4787699.970168421,
  4796864.317317292,
  4813151.5625,
  4839746.669799613,
  4840358.151675624,
  4840398.4375,
  4843732.8125,
  4844055.855798664,
  4844152.209289204,
  4845249.331684723,
  4845643.815165853,
  4845811.776217121,
  4849052.4427083535,
  4850385.9375,
  4854850.5591888325,
  4863339.941531198,
  4870598.274545295,
  4878281.25,
  4884426.8737663645,
  4887774.9855253585,
  4906303.076248639,
  4910012.619749279,
  4910304.005864336,
  4912258.909316698,
  4912266.096986656,
  4916355.78934658,
  4920328.449461159,
  4931616.780221179,
  4931663.062838933,
  4931679.308997876,
  4932302.688518498,
  4932302.897418399,
  4933359.824915929,
  4935403.125,
  4937371.097790952,
  4937453.447552863,
  4937906.164821495,
  4940688.101828483,
  4942923.305975193,
  4944276.5625,
  4944859.375,
  4948876.043961245,
  4949462.531590396,
  4950040.580134288,
  4951187.5,
  4951668.305351088,
  4952709.893540361,
  4953954.145432443,
  4954103.125,
  4971546.875,
  4974201.16624521,
  4994212.343035391,
  5008825.888605296,
  5013544.248859151,
  5032009.375,
  5036993.480240526,
  5039431.169901241,
  5042257.372939914,
  5043773.759432594,
  5092034.075263057,
  5106591.698082071,
  5110776.866161432,
  5120670.175048929,
  5123238.943572378,
  5126195.972882056,
  5134362.5,
  5134393.315684322,
  5142803.364379591,
  5144867.651937288,
  5149155.2773496555,
  5149916.176522019,
  5152215.14901494,
  5157262.011202008,
  5157392.10179279,
  5159879.47598629,
  5161196.749743353,
  5162812.5,
  5164415.066060107,
  5165353.5948698055,
  5165416.965968572,
  5165596.875,
  5167927.735350905,
  5171567.9446193,
  5171643.921829926,
  5172324.895719117,
  5173809.096123697,
  5189861.227016566,
  5193141.6879331255,
  5193362.182079574,
  5194109.375,
  5198415.366032545,
  5201736.298308441,
  5204038.861741115,
  5209771.525219174,
  5212656.25,
  5217388.434222764,
  5219453.264033489,
  5220467.1875,
  5222056.347521353,
  5224869.924628991,
  5226072.89895634,
  5228357.299871245,
  5229935.75855659,
  5232273.4375,
  5237352.250020372,
  5240242.1875,
  5244805.576418115,
  5246022.462618229,
  5248362.928734838,
  5249582.399297639,
  5250401.410281459,
  5252049.8689948665,
  5255560.714634434,
  5257222.890601399,
  5259137.659729479,
  5261295.049931753,
  5266364.038619202,
  5268424.563681966,
  5269021.199824827,
  5272797.617517271,
  5274388.113428667,
  5276580.603085354,
  5277562.5,
  5277631.324501911,
  5278620.3125,
  5281711.576380974,
  5282303.063612522,
  5284578.001417062,
  5284580.3485123115,
  5284745.576438495,
  5284896.388361712,
  5288082.043786776,
  5288092.147108891,
  5288480.520509515,
  5288764.537947169,
  5289117.292435902,
  5289407.8125,
  5289892.61155691,
  5290132.221288813,
  5290740.063670163,
  5293574.499181518,
  5294518.75,
  5295882.0579264555,
  5296429.50927499,
  5296910.9375,
  5297346.599068345,
  5297835.9375,
  5297873.4375,
  5298383.577135577,
  5298886.169107395,
  5299133.3141126875,
  5299505.903022059,
  5304666.46489176,
  5310507.939185563,
  5310637.5,
  5312765.915976455,
  5312787.869392759,
  5314678.945467233,
  5315700.131561919,
  5317006.274720059,
  5317450.0,
  5318713.496860173,
  5318724.769113575,
  5326807.8125,
  5330226.1975419875,
  5334254.6875,
  5335609.716719479,
  5339867.133509399,
  5341017.731560605,
  5343954.461125014,
  5352925.33119526,
  5357388.702665219,
  5369495.3125,
  5377955.373084736,
  5391664.986750789,
  5394070.3125,
  5397900.947058753,
  5397908.599202307,
  5398851.5625,
  5398905.088988661,
  5399903.100260478,
  5406664.0625,
  5408193.495628198,
  5408197.868428884,
  5408560.9375,
  5408768.911262968,
  5409377.895815076,
  5409581.25,
  5411440.443422317,
  5412692.1875,
  5412860.9375,
  5412872.625847472,
  5413890.886509449,
  5413995.7030792525,
  5414731.25,
  5418617.662769971,
  5418827.0126602715,
  5420902.972321748,
  5420967.1875,
  5421122.985753376,
  5425755.544170484,
  5435307.966390529,
  5438038.380575115,
  5440406.615500294,
  5443557.771432793,
  5444892.598677883,
  5455267.149981995,
  5465228.118261837,
  5465437.509672762,
  5467640.325592171,
  5478767.949092184,
  5485170.3125,
  5487280.387562843,
  5490655.383753986,
  5492774.208011053,
  5492817.1875,
  5495998.4375,
  5496714.0625,
  5500406.25,
  5500422.478018079,
  5500615.061379578,
  5503157.8125,
  5515068.37904729,
  5522828.490408703,
  5523220.268236069,
  5525290.8390444415,
  5525299.374655095,
  5531313.751236853,
  5538875.983193448,
  5545793.857621543,
  5547612.5,
  5553500.011012199,
  5554563.28562182,
  5578970.9974007895,
  5586339.577249637,
  5592676.763277314,
  5592685.879976398,
  5593140.625,
  5594263.895910686,
  5598755.190589595,
  5624065.625,
  5644840.475564016,
  5646734.375,
  5649825.903892452,
  5652315.112594648,
  5657295.029156505,
  5662346.17947626,
  5668249.045630218,
  5718662.5,
  5763034.231499881,
  5785840.107548917,
  5796534.375,
  5841261.641596891,
  5916814.025742718,
  6107323.4375,
  6107415.690723287,
  6108515.3495837,
  6108656.95861366,
  6114379.6875,
  6160278.110426569,
  6166696.965591164,
  6167284.216202108,
  6217844.8310330305,
  6220206.234525122,
  6233635.281594818,
  6233851.958593994,
  6370521.530149566,
  6373712.508142466,
  6375006.25,
  6377454.6875,
  6388613.891427633,
  6399884.375,
  6415873.413512747,
  6421580.918461385,
  6421872.699258532,
  6426789.9433654435,
  6426851.456082127,
  6427292.261700809,
  6427615.588533539,
  6429503.643597772,
  6429528.6127636265,
  6429543.11123569,
  6430794.436343251,
  6431554.284428097,
  6433262.369536637,
  6434520.2642257875,
  6434882.8125,
  6435557.645824582,
  6436288.361058191,
  6436414.0625,
  6436431.402815384,
  6436890.431154243,
  6437141.385524976,
  6437463.492550236,
  6437501.5625,
  6437508.957594308,
  6437582.8125,
  6437596.875,
  6437793.398846514,
  6437922.851684109,
  6438048.5464181295,
  6439467.1875,
  6439477.198737247,
  6439604.6875,
  6439685.27122936,
  6439891.927025416,
  6439907.990714699,
  6439956.25,
  6440075.870789414,
  6441290.334882268,
  6441295.458113261,
  6442137.5,
  6447215.582605436,
  6447590.625,
  6452810.192751082,
  6453842.1875,
  6457694.926550082,
  6457835.948215578,
  6458125.349446534,
  6458270.3125,
  6458751.928782484,
  6459231.691065544,
  6464855.472600588,
  6467392.371236404,
  6468480.8754521245,
  6481934.375,
  6494828.087828239,
  6494835.24798687,
  6498589.0625,
  6499650.0,
  6505451.096371032,
  6507339.061377622,
  6509099.965251012,
  6511427.03204402,
  6512595.3125,
  6512989.156095887,
  6513229.024211734,
  6514178.636895679,
  6514579.6875,
  6514737.5,
  6515568.27469861,
  6516016.4838660965,
  6517367.1875,
  6517978.072743718,
  6518671.129579059,
  6521668.605684693,
  6522933.524511705,
  6522990.298020782,
  6523925.766472526,
  6524131.25,
  6525726.884547575,
  6527571.704123268,
  6528017.1875,
  6529789.930727654,
  6534743.871221672,
  6538746.263862792,
  6543004.663152019,
  6545860.9375,
  6546764.3484184835,
  6547046.875,
  6550041.247347745,
  6553393.75,
  6553555.467319827,
  6558005.2903915355,
  6561119.719961095,
  6567425.377628225,
  6568504.555417833,
  6569473.4375,
  6570128.424152465,
  6571667.897211726,
  6571720.756378221,
  6572388.878093655,
  6572971.875,
  6574461.950575902,
  6574710.238373172,
  6574870.743152284,
  6575429.395089019,
  6575483.299614547,
  6593423.156712746,
  6597307.324903728,
  6598522.186791938,
  6600311.941513179,
  6601213.195646783,
  6603610.9375,
  6603831.25,
  6603904.675986158,
  6604521.875,
  6605231.25,
  6605417.1875,
  6605962.044260218,
  6607348.790310923,
  6607627.962567744,
  6608331.176820191,
  6610271.670914182,
  6611193.141176203,
  6611276.916015838,
  6612767.456001847,
  6613846.875,
  6616631.551240044,
  6617679.035967796,
  6623528.125,
  6624034.364721578,
  6627607.789325472,
  6631331.333175679,
  6636554.6875,
  6637616.825625267,
  6649810.752542689,
  6649908.439850275,
  6651119.3392973505,
  6651219.434823237,
  6651434.521525389,
  6652836.155983329,
  6653062.340614687,
  6653988.268827439,
  6654535.8796574585,
  6654586.855624624,
  6654592.421575361,
  6656946.875,
  6662534.403317557,
  6663692.1875,
  6665485.196400419,
  6671809.232923466,
  6672985.5963553665,
  6673450.999529561,
  6674767.751175244,
  6680212.5,
  6683797.456659126,
  6684616.196273009,
  6684929.734876694,
  6685951.5625,
  6687029.538916473,
  6688772.722154742,
  6688806.218231778,
  6692221.971552921,
  6692394.074303647,
  6695609.009744307,
  6696054.6875,
  6697405.033437537,
  6697558.30847802,
  6699481.25,
  6699771.5405039,
  6700118.34235101,
  6701088.9317370625,
  6701181.25,
  6704744.307127776,
  6704973.119762209,
  6705573.303793426,
  6706414.039835151,
  6707539.49929313,
  6708213.789223743,
  6708714.559975712,
  6709615.625,
  6712492.1875,
  6715970.607014493,
  6717209.305819116,
  6717530.459074475,
  6718143.830821616,
  6719584.528790959,
  6722722.940401226,
  6725695.3125,
  6726980.609938196,
  6729507.166607961,
  6730270.1619730005,
  6730915.378718992,
  6733900.736978891,
  6735064.91174994,
  6735139.0625,
  6736261.066942011,
  6737805.981442268,
  6737841.269289835,
  6737887.5,
  6738355.727158381,
  6740746.174714413,
  6740799.722668504,
  6741625.821498117,
  6742122.711297215,
  6742835.9375,
  6742925.119754759,
  6743479.6875,
  6745693.75,
  6745760.336581639,
  6745995.053532788,
  6746965.607491332,
  6746993.2046094425,
  6747490.999911164,
  6747581.387689874,
  6747590.625,
  6747959.247275447,
  6749639.5946546085,
  6749670.3125,
  6749852.0480696205,
  6750925.850011457,
  6752439.835799784,
  6752477.682996694,
  6752581.25,
  6752873.8394212555,
  6753682.2375258785,
  6753747.0493896315,
  6753792.1875,
  6754032.8125,
  6755308.816464887,
  6755913.58168247,
  6756163.825435023,
  6756324.795052384,
  6756417.641952941,
  6757136.899315919,
  6757254.533487458,
  6757438.711604754,
  6757525.0,
  6757534.538346207,
  6757546.632731823,
  6757703.002669091,
  6758151.146923125,
  6758587.5,
  6758994.023909321,
  6759114.115173691,
  6759125.023857656,
  6759294.501652263,
  6759561.379913637,
  6760480.663027435,
  6761806.25,
  6762434.095955851,
  6763187.361820996,
  6763319.715549112,
  6765132.824949693,
  6765295.764816888,
  6766866.687631701,
  6768058.799415037,
  6768539.004878154,
  6769884.850927858,
  6770153.125,
  6770650.770997007,
  6771596.756612468,
  6771976.437677667,
  6772297.234733835,
  6772470.3125,
  6772538.564039359,
  6772542.1875,
  6773251.272546911,
  6774319.957175286,
  6776118.75,
  6781643.75,
  6785182.708402723,
  6786172.280761253,
  6786749.037917449,
  6788339.97804816,
  6788573.777365078,
  6788619.009006003,
  6788700.6083720615,
  6789081.25,
  6791379.138037268,
  6791557.8125,
  6793071.232583168,
  6793973.968863786,
  6794734.98568828,
  6795246.875,
  6797107.407939951,
  6797434.70125529,
  6797742.306117443,
  6802083.606273746,
  6802747.864440224,
  6803043.75,
  6804795.3125,
  6804800.900782318,
  6805158.967854613,
  6810812.075659115,
  6810835.028952217,
  6812784.375,
  6812965.625,
  6813081.25,
  6813806.746994698,
  6814423.596722962,
  6814600.305729103,
  6815417.394001564,
  6816962.680926749,
  6818124.601930788,
  6820563.404058875,
  6822248.992465633,
  6822756.25,
  6822836.073772342,
  6824420.12023269,
  6825647.061691371,
  6826286.301844165,
  6827821.875,
  6828523.485128001,
  6829846.875,
  6830425.682769625,
  6831614.0625,
  6833030.6370870825,
  6833496.789067368,
  6833892.591275932,
  6834063.893116539,
  6834260.9375,
  6834609.375,
  6835448.4375,
  6835608.852877812,
  6836676.774872628,
  6836834.71782876,
  6837326.498747029,
  6838129.846156562,
  6838192.1875,
  6838320.3125,
  6838345.3125,
  6839096.360778519,
  6840912.334403686,
  6841120.083654826,
  6842709.76118552,
  6842772.258799513,
  6842957.591812118,
  6843168.087448814,
  6844087.5,
  6845442.1875,
  6845559.375,
  6846778.125,
  6846843.13951057,
  6847269.078541689,
  6847539.484246229,
  6848019.813216118,
  6848020.3125,
  6851503.712684874,
  6851675.0,
  6852559.026334751,
  6852902.766565795,
  6853517.1729365,
  6855541.39725295,
  6856489.0625,
  6857714.657773411,
  6857959.375,
  6858989.7416640585,
  6859729.6875,
  6860502.289787102,
  6861027.800085801,
  6861685.366740322,
  6862567.027424752,
  6863558.389140786,
  6863900.0,
  6864209.581510977,
  6864228.041964142,
  6865040.138785949,
  6865390.625,
  6866076.231461256,
  6866446.875,
  6866785.9375,
  6867440.447518262,
  6868847.202771558,
  6868877.776527397,
  6869850.390558337,
  6870365.645955156,
  6870954.02192751,
  6870958.271067675,
  6871282.197862573,
  6871834.717865755,
  6872036.308613338,
  6872044.527773235,
  6873780.713424028,
  6873834.094837914,
  6874548.4375,
  6876282.802561394,
  6876451.5625,
  6877163.046179291,
  6877227.337885743,
  6877333.458683468,
  6877412.5,
  6877571.830954125,
  6877595.144692141,
  6877980.886763727,
  6878214.348237319,
  6878359.539543437,
  6878363.554546753,
  6878812.121271983,
  6879073.4375,
  6879091.238573822,
  6879113.05794343,
  6879306.495170125,
  6879414.701400161,
  6879476.222160721,
  6879660.3722309405,
  6879969.474611648,
  6881953.279988526,
  6882035.495189732,
  6882083.493494836,
  6882807.748588418,
  6883362.649236495,
  6883406.165170224,
  6883414.430685074,
  6884006.25,
  6885082.843189854,
  6886452.04757177,
  6888035.752835721,
  6890235.415458987,
  6890658.376394469,
  6892127.810701171,
  6892385.9375,
  6892434.007194542,
  6892923.124512406,
  6893151.5625,
  6893893.8165152185,
  6893918.75,
  6894149.677285589,
  6894628.125,
  6894631.25,
  6894634.676485134,
  6894679.28149637,
  6894696.389972838,
  6895223.541481852,
  6895334.137617051,
  6895751.476288999,
  6895939.405953628,
  6896049.588986057,
  6896253.273078677,
  6896450.972364391,
  6896548.235225082,
  6897107.8125,
  6897254.6875,
  6897670.3125,
  6897987.527634493,
  6898010.156451933,
  6898043.781414814,
  6898114.843891611,
  6898143.75,
  6898273.4375,
  6898329.250058817,
  6898452.6233232,
  6898530.143609464,
  6898603.769509643,
  6898633.032754818,
  6898660.409253691,
  6898790.6553665735,
  6898932.680882533,
  6899154.271636392,
  6899307.28428397,
  6899342.226195188,
  6899420.021835642,
  6899432.060191515,
  6899593.086582834,
  6899629.255491887,
  6899856.812679768,
  6900176.357286913,
  6900176.654139712,
  6900364.0625,
  6900440.3066347,
  6900459.375,
  6900503.125,
  6900643.791999285,
  6900737.5,
  6900932.555209946,
  6901501.584614029,
  6901615.256372315,
  6902056.25,
  6902129.809479026,
  6902794.966702415,
  ...],
 [5.952898419370792,
  9.43115614862965,
  75.75896495773972,
  20.469505934699736,
  65.01121067030694,
  43.57584802183509,
  99.79770022009014,
  72.93778007031472,
  11.217266528065743,
  29.384477059542135,
  54.5525719685574,
  10.88446949077907,
  23.545156887566684,
  59.1791836199875,
  54.179826742618836,
  27.07735304824963,
  5.136818371667631,
  26.83084592768343,
  20.30842159078869,
  16.949617184256134,
  15.753581423941604,
  21.93474881371258,
  15.378454454774555,
  25.7019046807669,
  9.68157920786477,
  50.684585777366884,
  8.402389295526708,
  6.242989007223421,
  65.69994059530586,
  5.037835246501236,
  61.210797141455394,
  38.792180493449436,
  54.654974153110345,
  65.59919094695204,
  50.23206075917789,
  8.948360568760478,
  8.654944770187386,
  24.375064318100804,
  75.98642313992099,
  41.860024237509116,
  11.388812850251874,
  19.044277196179493,
  8.39377882217279,
  18.37113155703848,
  70.3954184556357,
  18.238665817256237,
  9.463253894877608,
  45.876793676598155,
  15.746666508042173,
  38.05402365266801,
  6.36289548881951,
  13.572199804018599,
  55.223199320296345,
  27.18549169136382,
  19.93017083276032,
  51.66769247148135,
  66.89825874913292,
  6.668114058329887,
  12.848589793126493,
  62.450215224797695,
  36.04445746603973,
  17.86180185873333,
  11.941650601199884,
  98.2409012884593,
  22.82630991297769,
  5.607231036724131,
  14.034722815997501,
  8.846391796147852,
  65.38978443109107,
  5.562657477201832,
  21.399250163182206,
  28.401280390739146,
  16.058776485542325,
  158.17555362545582,
  59.75974441228347,
  21.22863893572172,
  11.986384436817959,
  6.255662396260217,
  11.02088531456302,
  6.287248689212285,
  9.179977727212577,
  14.157782225565024,
  23.048244384949978,
  24.86820349083165,
  69.03350263709238,
  98.51345319141964,
  35.55222546922499,
  65.24475274015829,
  26.68623941026251,
  6.333130541820419,
  22.45515981732627,
  20.522671725677018,
  10.808675385009446,
  114.22512450468086,
  31.929852181560356,
  62.60988947422945,
  19.15815558250275,
  38.61096819918357,
  75.03121337974176,
  11.87863709503796,
  13.272112587297787,
  42.08248524454554,
  48.65742974815856,
  32.22954471991011,
  82.7650263503486,
  63.17608529649567,
  19.69139343489877,
  28.429035639846806,
  11.633057866596152,
  71.66462326044426,
  7.283266968828865,
  64.95857406721078,
  21.353736555961955,
  42.85348075086555,
  6.7628742115583265,
  95.33964616956962,
  5.699890671714132,
  103.63262610580384,
  60.387383876920694,
  18.215736068310953,
  65.04578228041998,
  103.92998799918075,
  51.653941513826865,
  5.496820959123779,
  41.7465717904008,
  60.40610112657567,
  11.812822195069359,
  87.12196533665596,
  29.618181013258727,
  43.18339261011242,
  21.932851390200103,
  52.54353358010839,
  70.87231785855616,
  16.101504304493094,
  19.737138476463052,
  8.858403146440063,
  68.26857723868376,
  11.171107390552365,
  61.77222999063184,
  83.8427516645433,
  38.873387636015494,
  9.121638561578918,
  31.449930684109948,
  10.699234439693303,
  12.69925168664804,
  8.74099811676128,
  120.16162016952157,
  51.98057610335687,
  8.21661237917755,
  76.6011307277617,
  35.512425492375975,
  40.3899131149762,
  9.549842349977586,
  32.80224112354378,
  8.699555781144875,
  101.50381642697079,
  34.555030213055275,
  5.726206787238052,
  70.45443073320611,
  41.839723337767325,
  65.69235586241106,
  7.312076386977089,
  24.68403075248301,
  47.12511066152342,
  53.68257412184936,
  14.154215186159357,
  43.07355088293693,
  16.186096506931865,
  7.436702999246579,
  62.63563319404301,
  73.65482777676463,
  28.243916740212587,
  67.9305632057229,
  21.253826273607764,
  74.67615463358842,
  79.01238952821357,
  5.546186188872707,
  6.594168762106872,
  28.28614069112486,
  11.997343447636192,
  10.765465380122569,
  7.318792878398419,
  19.031443946580737,
  32.09507128395643,
  72.483227694164,
  60.87444551381204,
  5.318193121354713,
  5.03714690656259,
  43.483139579225565,
  7.920323744593757,
  22.842960022045133,
  9.28947405662491,
  54.119596283654204,
  19.669056940068987,
  24.066089611982886,
  14.280893285658424,
  67.5006204302983,
  11.621977435827013,
  7.522700561004035,
  32.690022694977245,
  103.1059244903283,
  14.517300407218457,
  7.428771934429796,
  17.41598561305462,
  11.373616744985432,
  52.6861184057731,
  101.07586096457969,
  11.258225232460015,
  15.93568102292642,
  28.51404838864849,
  6.868882386640167,
  29.935563663739014,
  18.885425815167494,
  18.670370983377126,
  17.669432567995973,
  25.982437389995617,
  23.16932491634404,
  47.67614290925224,
  9.882343411368355,
  5.701547914217666,
  119.01699049033435,
  26.66712840768801,
  8.207043424853403,
  22.74744857020953,
  12.479412024618203,
  21.66663330712342,
  5.530704703014256,
  59.215066974334135,
  94.40951140360359,
  55.82461809096195,
  7.347284455827203,
  5.15573967265272,
  7.741021042718735,
  9.89177088054146,
  23.391356244830675,
  43.32245678149325,
  25.813165296961188,
  6.728717587081795,
  63.11567285418319,
  16.38283751724062,
  47.21669561921034,
  13.801571898987117,
  98.3784888687675,
  32.722413948489745,
  123.23272361609844,
  7.656463125250251,
  20.399358213013453,
  95.58311495864908,
  43.37901411197833,
  11.081396092285056,
  16.01066998336426,
  61.82302136613553,
  25.0422294868234,
  32.91598239627128,
  34.805533250287624,
  78.34534990824454,
  66.55291199842863,
  18.15339965538726,
  8.823738180950892,
  62.13617016451471,
  6.179888667432159,
  19.848912766412006,
  98.88820858277033,
  12.130861561695665,
  32.097367663315445,
  68.087112312624,
  45.17853635899041,
  30.117295329787027,
  85.07761906223949,
  8.260963954780728,
  130.25643539753779,
  58.39491889031423,
  44.593069161499585,
  5.640700342724626,
  6.041470463502624,
  9.62169774165857,
  78.39577121623766,
  30.173213499317818,
  120.93820239589871,
  29.201821607208707,
  54.87074571264932,
  11.912188008318392,
  64.75323145564693,
  19.111635030589998,
  11.6723074353859,
  67.5357760761506,
  55.45248099259656,
  114.13810726272074,
  63.727553275802165,
  55.79981856687093,
  30.454244976421993,
  7.129780645651795,
  27.66715687079912,
  49.22472294358667,
  29.665518254895638,
  27.82122822984186,
  48.39934649346341,
  37.888440754978454,
  29.049701541326233,
  22.59444868253863,
  5.066053051949825,
  11.5318015957819,
  9.792123044199501,
  53.619350590150056,
  9.113267444953468,
  27.03482778428688,
  7.451634080329348,
  15.299148694991597,
  23.56523808435235,
  5.6763023848682,
  7.203630346160967,
  43.57162744578946,
  26.376514452193092,
  18.24190713993661,
  45.42957384519709,
  22.17435431133248,
  15.939799290630177,
  6.859910708013752,
  6.344713439394875,
  12.115108017108499,
  104.09824222158328,
  53.90921933410614,
  141.05219933172035,
  24.950904003252784,
  8.221431891631163,
  85.00738665487779,
  8.011577649568023,
  11.951198675795446,
  147.80676337796555,
  67.99454202512928,
  45.58430202368801,
  65.56798105674116,
  80.16623267218489,
  41.993546831034266,
  17.91417553146542,
  72.252279420424,
  13.3272324214714,
  96.78975537615233,
  92.21277613166464,
  7.055001219197243,
  28.914752372161,
  14.227806828198913,
  34.61644281927155,
  37.956970969417966,
  59.486397317012866,
  5.8243396785542725,
  49.44847915745082,
  40.25364686169532,
  17.880446196716832,
  31.786461934862036,
  111.86728050835924,
  25.43089399574107,
  44.31533217600991,
  15.126033739052254,
  64.87787102803401,
  12.8745239324638,
  63.46157231569481,
  24.924873904639043,
  13.57022117838894,
  70.55822502406203,
  117.58173652595357,
  6.4527135341751745,
  35.16701103087939,
  15.587402490831472,
  24.240953442794275,
  28.060797131673223,
  31.819322579457037,
  5.22663345849382,
  15.484467976776038,
  91.30381462092893,
  6.961183328017855,
  39.03534803686078,
  5.344481088077237,
  72.78074487241072,
  83.48604146232192,
  27.366309728593773,
  44.2766336359023,
  48.97995048063861,
  13.157727051292383,
  10.443673451563141,
  7.917998754438494,
  34.3981475182591,
  115.93230011161506,
  15.256578171858312,
  9.421737050180909,
  51.417168724094715,
  16.84844847953326,
  8.876979516382018,
  22.430099566113448,
  114.99081549108656,
  54.66305507345574,
  14.466497409369513,
  71.610205452246,
  43.98310249190735,
  71.39477003723835,
  50.133730465399246,
  98.21512888894259,
  30.11483347644954,
  70.31558018830269,
  17.273911962524263,
  9.054290339951283,
  181.59951442241635,
  15.447409787017675,
  37.60383544894711,
  16.18010562506698,
  11.758740634725058,
  15.653260461796101,
  117.34202771316927,
  91.55033496578798,
  43.50782788880423,
  20.86237962379172,
  24.67562930471355,
  41.116246392081486,
  59.116655141210416,
  52.70925506955481,
  16.42634488997715,
  60.68257314869617,
  30.66672931039983,
  14.14359266318868,
  100.87921897899555,
  13.727049338602882,
  73.6826768312963,
  341.0428239142008,
  20.21659964515447,
  86.11621574708361,
  20.413946830503182,
  10.098800868705606,
  117.8462486922821,
  5.076270684722717,
  14.848044990073056,
  213.68038787667217,
  7.513755752821478,
  5.229492493088212,
  42.23748831327691,
  27.43928621618148,
  44.633245038960794,
  50.533198890014965,
  37.58983366485809,
  35.20808086133845,
  53.63734792869985,
  18.86112897351052,
  44.17680975151901,
  16.673319031605544,
  63.98860771012033,
  17.126190471353336,
  16.98848976538248,
  25.834556817427067,
  53.6145566893428,
  5.678598433541107,
  12.795590911908423,
  129.4847273759125,
  7.956130523618067,
  16.545303728539484,
  38.93114504515246,
  8.516681068412296,
  13.40449102362243,
  14.91588874772548,
  9.339595454339333,
  57.345831145963984,
  23.5932558991692,
  148.11087801234615,
  78.76404217348264,
  25.742593616971437,
  87.26734140052999,
  33.058366275713205,
  54.06069019056797,
  99.76871431762555,
  33.60132636787033,
  5.488258012657447,
  7.411359022617441,
  41.19120126846809,
  13.693939989889127,
  14.305071089396328,
  98.17146977078617,
  34.988741741957696,
  20.327655595775237,
  64.45729766066977,
  20.73684718353528,
  9.424091879753684,
  144.71729303379857,
  20.90040127851355,
  17.782952601635657,
  121.8623540631836,
  17.348862316530038,
  31.62642610184531,
  113.63433766098504,
  28.65625145663909,
  14.342418331716454,
  122.36801228645723,
  164.30516123615354,
  74.4968024094868,
  77.42859481968777,
  46.31729665298185,
  19.722216648036564,
  30.528539178908854,
  88.2926387212901,
  9.904621018179958,
  41.989072440628036,
  101.45163958343458,
  7.42622522801048,
  72.71121327999764,
  145.6907398368199,
  11.070734786528122,
  50.56718881277092,
  7.138836151348387,
  56.981696705380294,
  18.5653215301563,
  97.84848011793122,
  87.65198824218628,
  75.7058889895482,
  16.469314974263252,
  7.437911914021712,
  14.882852667767937,
  20.067125874477167,
  32.54919161493599,
  10.628319465007527,
  9.338297591864555,
  90.68899255966697,
  58.2639435873789,
  24.927454133399703,
  112.9975716307371,
  148.88917121229713,
  6.699074554312535,
  19.40566987405193,
  6.019972017363298,
  9.243013150061199,
  38.213420687211034,
  19.77355140062785,
  49.17095808669317,
  5.738520075943288,
  58.83595916706938,
  8.68624955814454,
  55.139490553515245,
  62.36257726468756,
  18.96076889810425,
  110.06162264978073,
  79.27996202736838,
  19.69429654920721,
  72.3440073515494,
  6.511316202908702,
  75.25544360107396,
  12.568683943520911,
  5.891261554299944,
  30.657944455316205,
  27.529503832035164,
  55.993497394728855,
  36.05531344874883,
  193.8950580008612,
  13.097004665660563,
  63.20103882019448,
  79.56081386620744,
  37.61061566145861,
  46.016740316085844,
  6.956671739591337,
  87.20673421770208,
  28.6199884680733,
  117.88956096085204,
  17.766983628489903,
  23.877800071731652,
  15.527168913789852,
  36.30474849743873,
  36.315393876416145,
  28.690814854724493,
  28.915195063911877,
  40.139997510084065,
  22.711613685922583,
  14.982510087480344,
  5.633673368553024,
  58.37025344700606,
  25.443370286346813,
  5.638920022880592,
  14.859355285347993,
  11.427579648693388,
  20.420768305890114,
  183.37161782397803,
  6.481279976581489,
  82.7757167603904,
  70.85665535152276,
  53.629308102033946,
  8.054558762236004,
  28.502999597316755,
  5.8114136043209,
  17.094526384754868,
  102.04927431591481,
  137.1723221032706,
  18.39955607882561,
  71.60453425965756,
  54.36918396632744,
  122.39906955640753,
  21.743071801971798,
  6.382171351311343,
  39.58477994424531,
  79.83333583129678,
  27.471517028235354,
  101.0958100940166,
  12.458749875296283,
  35.5362823362929,
  18.973708535229562,
  29.007283915540654,
  119.03480132379015,
  14.370474871760319,
  107.57229319575376,
  128.85492413183437,
  15.424596618057514,
  25.91120776702268,
  28.05188908458123,
  51.115624530423375,
  9.585459783574379,
  108.39176696803618,
  102.83759075310026,
  63.55153585559265,
  10.091066244682635,
  42.548204432669436,
  7.402120115929168,
  5.413109329363273,
  10.92734478820457,
  143.61513707152065,
  47.90826221880559,
  104.49122024750098,
  6.558999467282643,
  9.18019728630103,
  61.55515996280402,
  10.365326998488436,
  134.86316220187462,
  6.134058240569318,
  50.576795834160606,
  194.04970051316556,
  62.41450139309306,
  21.617732892951054,
  16.279892742662497,
  30.278221754573316,
  12.422325251034213,
  88.83480004555551,
  73.71552376142483,
  11.109757492905302,
  135.54169162653352,
  43.37455068279313,
  36.967797243051315,
  12.692219793427467,
  28.38149396946297,
  19.545389374425568,
  14.66973036641371,
  39.763077650196,
  6.647756229750916,
  8.482809177861105,
  14.95805279867264,
  194.36456979218843,
  38.35428194833429,
  73.17386322150094,
  72.93259736380101,
  5.938510918194854,
  55.82734415598627,
  7.1434890185394675,
  121.03440423609824,
  49.849109515900025,
  109.66253758495314,
  51.70850875754512,
  92.98001319650074,
  5.027057296398227,
  9.458449899123838,
  15.845229139433167,
  6.247269033806191,
  79.8178265145567,
  27.430204397293622,
  8.840134841861007,
  9.537493262294303,
  68.46921113228917,
  15.050552466355581,
  64.79369708117166,
  51.73885776536405,
  46.43504954634476,
  7.4843420691567095,
  10.348686276567083,
  94.05857599038822,
  61.94317633682053,
  41.970524120403155,
  5.486832342740818,
  11.202575997622302,
  61.39339436514673,
  131.9125827759807,
  82.76771386342574,
  26.58425773931289,
  72.56677578551391,
  35.83059349403709,
  8.102428369191886,
  97.04257133110755,
  13.04099347543401,
  54.24908806492988,
  54.71963128169783,
  13.803390895584474,
  22.4666254118823,
  42.57140028394485,
  56.0550716267531,
  17.596674575370503,
  16.58061664187511,
  10.924954210205492,
  50.455115314755346,
  8.531906167397967,
  92.63335435197442,
  17.250487673643015,
  97.81074854407531,
  37.21432487534806,
  16.19694879392828,
  30.784189526664036,
  10.081827301881141,
  15.258779518646074,
  11.376912833566644,
  98.49707386838935,
  74.2258299976322,
  28.167845229917297,
  20.151548936623822,
  28.48824210545778,
  75.4578042544921,
  7.329664237228582,
  12.777633649314165,
  80.43922494107649,
  6.101664285047597,
  56.20393408251901,
  95.85517457231347,
  45.249031236386806,
  58.849014205053166,
  44.986716325339,
  46.21839090878284,
  12.711146341878965,
  15.934046764324709,
  42.43367107061962,
  5.620703793239309,
  51.850614747367175,
  74.76665513600572,
  25.14525587273939,
  130.47720586590276,
  120.0843418173029,
  5.6729053490390235,
  141.50630744694564,
  11.349968431382633,
  36.675247297153994,
  10.933766298759348,
  244.10694276158955,
  63.541423434779226,
  21.72895110848304,
  19.606500238207158,
  12.598129203901838,
  67.31833762097752,
  45.9513928075955,
  101.22697457736811,
  20.77643473478817,
  35.206874973793354,
  40.315105898932565,
  71.96640766924644,
  20.92840049637055,
  8.955445058496887,
  33.263717685209926,
  14.213937399958295,
  5.6396902212676805,
  11.932262334203546,
  25.81367832325426,
  53.840203555303226,
  39.972727988115444,
  123.63927966708685,
  5.521436904847071,
  6.468084262743987,
  10.534839680570625,
  36.52504982536294,
  16.099523275621102,
  47.74139271214964,
  10.085559563659764,
  18.86688523178847,
  7.771492403748091,
  34.126255501881715,
  42.117041559909296,
  13.974868022671574,
  26.06408101045385,
  20.577572396572698,
  27.709994030188113,
  7.775457267100644,
  5.379702287817199,
  37.20954957945029,
  14.726338034223083,
  6.862393002622532,
  103.36006940753555,
  63.678585130177716,
  139.7012385794763,
  12.914340311388532,
  35.49165213082379,
  99.16363062420425,
  35.73370307143555,
  55.3290994082546,
  68.69859364835362,
  37.20420831264756,
  158.70937886715345,
  51.9243139017575,
  57.65664890493652,
  19.24951717922262,
  9.896528524751375,
  297.4118899285859,
  99.33345177902845,
  24.092301974156747,
  62.74137682519451,
  36.90887444815523,
  21.013476797068915,
  130.79282500700822,
  6.02374770948815,
  17.444903973018377,
  5.746758299934898,
  82.24477746067386,
  29.898743506979322,
  133.2261172187377,
  6.505847714966562,
  19.174661804711416,
  16.759072208603335,
  53.85564079462639,
  57.42513970362535,
  95.81642940980637,
  27.609963650131867,
  132.79119806731305,
  31.941021186731117,
  95.3841289927567,
  110.68223155332568,
  40.902505188502474,
  12.004877808262707,
  6.795716038653419,
  9.604023511282056,
  30.444898693102147,
  70.90048545450632,
  9.01606244740973,
  20.045887599153858,
  9.849312665103712,
  72.72796321152913,
  15.315499628305584,
  25.231862924601625,
  15.704268916916265,
  28.317492901545084,
  32.65381470293632,
  188.81000800645637,
  93.02242934534056,
  18.39017795910676,
  97.83083984580219,
  62.12529975843685,
  84.52020146637058,
  112.8809324656826,
  143.5417102935941,
  95.450570836128,
  52.59706642765173,
  28.61231314575776,
  13.265864179018775,
  11.476718139752265,
  16.43184227805527,
  53.25584971383671,
  34.126654430268296,
  61.336228915902666,
  71.3037529354306,
  86.70833357996958,
  6.2043450832649105,
  33.104176993208625,
  14.1355475458753,
  83.63609663512773,
  8.500529709145306,
  47.03836593325278,
  93.36637179473729,
  56.41577286757489,
  69.35200833376565,
  73.21308707476435,
  79.09353842250789,
  5.228374270580437,
  95.01004958019571,
  57.46287398888148,
  21.500246872833255,
  128.7761751663587,
  67.76672818560196,
  34.01030577332732,
  191.2932792287147,
  27.568609283441102,
  84.32286050123007,
  90.07051955833981,
  151.48811757027477,
  12.205872251595013,
  99.07314099010031,
  23.574928462036972,
  53.98528330964966,
  12.493046829463008,
  21.113543038805915,
  198.628258450777,
  7.079999040701776,
  24.520206091729815,
  68.1872113977195,
  11.466604451274389,
  14.634187181062662,
  21.63173367053834,
  64.1928159322367,
  135.1701838286378,
  130.86473161143874,
  95.25249462321952,
  6.245032257040048,
  44.47460914876126,
  29.516655550466222,
  21.191601087293478,
  34.197493689104334,
  19.98646938621292,
  5.35788456826736,
  80.0584009121088,
  16.998969119968045,
  30.598866122595947,
  14.522364352492907,
  21.135833258406358,
  35.11907028776954,
  103.40504377904993,
  14.903762939325825,
  67.12618739974003,
  36.22003590941007,
  7.341371828165273,
  12.314190493928066,
  83.01299926542089,
  27.682290222375652,
  107.1854154319101,
  23.49595154888414,
  9.585290625010131,
  66.7648672246598,
  56.355543589498154,
  25.92411126462953,
  40.008248156958494,
  37.21888598653611,
  7.818322398976962,
  15.966281132837361,
  50.35716533797063,
  10.634377648846211,
  178.12730267608308,
  49.85359653539733,
  11.378925179929729,
  22.088559494842226,
  189.28650905585263,
  33.47955259260632,
  15.54256756191276,
  110.15706373862584,
  5.730597928105436,
  29.467525361691738,
  11.176018263529302,
  266.05864186480255,
  61.71871715843335,
  5.1194997827951685,
  17.637120346234546,
  40.24765175206298,
  58.36618100093447,
  9.038631463179193,
  29.013615892769664,
  51.46021276165168,
  14.32988263247011,
  119.0055180503569,
  22.962664265904344,
  49.737155346347535,
  69.06938082847267,
  43.5665561906943,
  81.60563008243592,
  79.63302380487963,
  15.353226027645027,
  56.3705896486491,
  9.259555438394877,
  146.47445541408035,
  13.576549088068584,
  15.537642265485308,
  13.085783538902676,
  57.66068143300238,
  41.921626596955555,
  44.16893603805317,
  53.954184361278465,
  15.047895790504318,
  107.04505075237122,
  5.615784450398852,
  120.48569176134238,
  60.779892586968835,
  31.14488104540906,
  17.7027696782284,
  131.1784180720054,
  17.020846207707454,
  5.650723573437058,
  200.85170408498925,
  73.5327626628765,
  201.49224650772533,
  37.88652357236481,
  6.683228666868023,
  21.216173493303106,
  7.131660731267969,
  17.062618062503265,
  12.684357515391579,
  58.03480521457872,
  127.32713010990801,
  6.341006421329079,
  25.04204496433117,
  15.922070377616112,
  90.16544285885414,
  26.050822643841343,
  86.33681872695024,
  40.44117495755696,
  9.367170230419301,
  63.989491498000504,
  178.05856871536594,
  22.632326248059535,
  7.475139268077138,
  30.694941535351735,
  77.76945520570938,
  127.66313239374631,
  ...])


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¶