Source code for gwemlightcurves.KNModels.io.DiUj2017


# Modified from: http://www2.yukawa.kyoto-u.ac.jp/~kyohei.kawaguchi/kn_calc_bns1/main.html
# Reference: Dietrich et al. http://adsabs.harvard.edu/cgi-bin/bib_query?arXiv:1612.03665

import numpy as np
import scipy

from .model import register_model
from .. import KNTable

from gwemlightcurves.EjectaFits.DiUj2017 import calc_meje, calc_vej

[docs]def get_DiUj2017_model(table, **kwargs): if not 'mej' in table.colnames: # calc the mass of ejecta table['mej'] = calc_meje(table['m1'], table['mb1'], table['c1'], table['m2'], table['mb2'], table['c2']) # calc the velocity of ejecta table['vej'] = calc_vej(table['m1'],table['c1'],table['m2'],table['c2']) # Throw out smaples where the mass ejecta is less than zero. mask = (table['mej'] > 0) table = table[mask] if len(table) == 0: return table # Log mass ejecta table['mej10'] = np.log10(table['mej']) # Initialize columns timeseries = np.arange(table['tini'][0], table['tmax'][0]+table['dt'][0], table['dt'][0]) table['t'] = [np.zeros(timeseries.size)] table['lbol'] = [np.zeros(timeseries.size)] table['mag'] = [{}] # Loop over samples for isample in range(len(table)): table['t'][isample], table['lbol'][isample], table['mag'][isample] = calc_lc(table['tini'][isample],table['tmax'][isample], table['dt'][isample],table['mej'][isample],table['vej'][isample],table['vmin'][isample], table['th'][isample],table['ph'][isample], table['kappa'][isample], table['eps'][isample],table['alp'][isample],table['eth'][isample],table['flgbct'][isample]) return table
[docs]def calc_lc(tini,tmax,dt,mej,vej,vmin,th,ph,kappa,eps,alp,eth,flgbct): td, bct = setbc_tabular() bc = setbc() lbol_d=[] bc_tmp=[] dc=0 t_d = np.arange(tini,tmax+dt,dt) mag_d = {} for ii in xrange(8): mag_d[ii] = np.array([]) epsBarnes = 0 if epsBarnes: mejtab = (0.001,0.001,0.001,0.005,0.005,0.005,0.01,0.01,0.01,0.05,0.05,0.05) vejtab = (0.1,0.2,0.3,0.1,0.2,0.3,0.1,0.2,0.3,0.1,0.2,0.3) a = (2.01,4.52,8.16,0.81,1.90,3.20,0.56,1.31,2.19,0.27,0.55,0.95) b = (0.28,0.62,1.19,0.19,0.28,0.45,0.17,0.21,0.31,0.10,0.13,0.15) d = (1.12,1.39,1.52,0.86,1.21,1.39,0.74,1.13,1.32,0.60,0.90,1.13) fa = scipy.interpolate.interp2d(mejtab,vejtab,a, kind='linear') fb = scipy.interpolate.interp2d(mejtab,vejtab,b, kind='linear') fd = scipy.interpolate.interp2d(mejtab,vejtab,d, kind='linear') fam = fa(mej,vej) fbm = fb(mej,vej) fdm = fd(mej,vej) for t in t_d: if epsBarnes: eth = 0.36*(np.exp(-fam*t)+ np.log(1+2*fbm*t**fdm)/(2*fbm*t**fdm))[0] lbol=kn_lbol(t,mej,vej,vmin,th,ph,kappa,eps,alp,eth) lbol_d.append(lbol) mbol=mag_bol(lbol,10) tt=t/((mej*100.0)**(1.0/3.2)) bc_tmp=getBC(td,bc,bct,tt,flgbct) for ii in xrange(8): if t > 2.*(mej*100)**(1.0/3.2): mag_d[ii] = np.append(mag_d[ii],mbol-bc_tmp[ii]) else: mag_d[ii] = np.append(mag_d[ii],np.nan) lbol_d = np.array(lbol_d) wavelengths = [3543, 4775.6, 6129.5, 7484.6, 8657.8, 12350, 16620, 21590] wavelength_interp = 9603.1 mag_y = np.zeros(t_d.shape) for ii in xrange(len(t_d)): mags = [mag_d[jj][ii] for jj in xrange(8)] mag_y[ii] = np.interp(wavelength_interp,wavelengths,mags) mag_new = {} mag_new[0] = mag_d[0] mag_new[1] = mag_d[1] mag_new[2] = mag_d[2] mag_new[3] = mag_d[3] mag_new[4] = mag_d[4] mag_new[5] = mag_y mag_new[6] = mag_d[5] mag_new[7] = mag_d[6] mag_new[8] = mag_d[7] return t_d, lbol_d, mag_new
[docs]def mag_bol(lbol,d): f0=2.52e-5 pc=3.08568e18 d0=d*pc return -2.5*np.log(lbol/4/np.pi/d0/d0/f0)/np.log(10.0)
[docs]def getBC(td,bc,bct,tt,flgbct): if flgbct: if (tt<td[0]) or (tt>td[130]): return np.array([np.nan,np.nan,np.nan,np.nan,np.nan,np.nan,np.nan,np.nan]) else: for ii in xrange(130): if (td[ii]<=tt) and (tt<=td[ii+1]): break bc_tmp=np.zeros((8,)) fac=(tt-td[ii])/(td[ii+1]-td[ii]) for jj in xrange(8): bc_tmp[jj]=(1-fac)*bct[jj][ii]+fac*bct[jj][ii+1] if not np.isfinite(bc_tmp[jj]): bc_tmp[jj] = np.nan else: if (tt<2) or (tt>15): return np.array([np.nan,np.nan,np.nan,np.nan,np.nan,np.nan,np.nan,np.nan]) else: bc_tmp=np.zeros((8,)) for jj in xrange(8): if (jj == 0) and (tt>5): bc_tmp[jj]=np.nan elif (jj == 1) and (tt>8.5): bc_tmp[jj]=np.nan else: bc_tmp[jj]=bc[jj][0]+bc[jj][1]*tt+bc[jj][2]*(tt**2.0)+bc[jj][3]*(tt**3.0)+bc[jj][4]*(tt**4.0) if not np.isfinite(bc_tmp[jj]): bc_tmp[jj] = np.nan return bc_tmp
[docs]def kn_lbol(t,mej,vej,vmin,th,ph,kappa,eps,alp,eth): c=2.99792458e10 msun=1.988e33 day=24*3600 lu0=c*day eneu0=msun*c*c lumu0=eneu0/day kappa0=kappa/lu0/lu0*msun eps0=eth*eps/eneu0*day*msun vdiff = vmax(vej,vmin)-vmin if vdiff < 0: tobs = 0.0 else: tobs=(th*mej*kappa0/(2*ph*vdiff))**(1/2.0) if (t<tobs): fac=t/tobs else: fac=1 lbol=(1+th)*mej*fac*eps0*(t**(-alp))*lumu0 return lbol
[docs]def vmax(vej,vmin): return 2.0*vej-vmin
[docs]def setbc(): bc = np.zeros((8,5)) # bc u-band bc[0][0]= 40.01 bc[0][1]=-56.79 bc[0][2]= 25.73 bc[0][3]=-5.207 bc[0][4]=0.3813 # bc g-band bc[1][0]=-6.195 bc[1][1]=4.054 bc[1][2]=-1.754 bc[1][3]=0.2246 bc[1][4]=-0.009813 # bc r-band bc[2][0]=-2.308 bc[2][1]=1.445 bc[2][2]=-0.5740 bc[2][3]=0.0531 bc[2][4]=-0.00152 # bc i-band bc[3][0]=0.6441 bc[3][1]=0.0796 bc[3][2]=-0.122 bc[3][3]=0.00793 bc[3][4]=-0.000122 # bc z-band bc[4][0]=1.072 bc[4][1]=0.3646 bc[4][2]=-0.1032 bc[4][3]=0.00368 bc[4][4]=0.0000126 # bc J-band bc[5][0]=-1.038 bc[5][1]=1.348 bc[5][2]=-0.2364 bc[5][3]=0.0137 bc[5][4]=-0.000261 # bc H-band bc[6][0]=-2.763 bc[6][1]=1.502 bc[6][2]=-0.2133 bc[6][3]=0.0128 bc[6][4]=-0.000288 # bc K-band bc[7][0]=-7.876 bc[7][1]=3.245 bc[7][2]=-0.3946 bc[7][3]=0.0216 bc[7][4]=-0.000443 return bc
[docs]def setbc_tabular(): td= np.zeros((131,)) bct = np.zeros((8,131)) # Rescaled time td[0]=2. td[1]=2.1 td[2]=2.2 td[3]=2.3 td[4]=2.4 td[5]=2.5 td[6]=2.6 td[7]=2.7 td[8]=2.8 td[9]=2.9 td[10]=3. td[11]=3.1 td[12]=3.2 td[13]=3.3 td[14]=3.4000000000000004 td[15]=3.5 td[16]=3.6 td[17]=3.7 td[18]=3.8 td[19]=3.9000000000000004 td[20]=4. td[21]=4.1 td[22]=4.2 td[23]=4.300000000000001 td[24]=4.4 td[25]=4.5 td[26]=4.6 td[27]=4.7 td[28]=4.800000000000001 td[29]=4.9 td[30]=5. td[31]=5.1 td[32]=5.2 td[33]=5.300000000000001 td[34]=5.4 td[35]=5.5 td[36]=5.6 td[37]=5.7 td[38]=5.800000000000001 td[39]=5.9 td[40]=6. td[41]=6.1000000000000005 td[42]=6.2 td[43]=6.3 td[44]=6.4 td[45]=6.5 td[46]=6.6000000000000005 td[47]=6.7 td[48]=6.800000000000001 td[49]=6.9 td[50]=7. td[51]=7.1000000000000005 td[52]=7.2 td[53]=7.300000000000001 td[54]=7.4 td[55]=7.5 td[56]=7.6000000000000005 td[57]=7.7 td[58]=7.800000000000001 td[59]=7.9 td[60]=8. td[61]=8.100000000000001 td[62]=8.2 td[63]=8.3 td[64]=8.4 td[65]=8.5 td[66]=8.600000000000001 td[67]=8.7 td[68]=8.8 td[69]=8.9 td[70]=9. td[71]=9.100000000000001 td[72]=9.2 td[73]=9.3 td[74]=9.4 td[75]=9.5 td[76]=9.600000000000001 td[77]=9.7 td[78]=9.8 td[79]=9.9 td[80]=10. td[81]=10.1 td[82]=10.200000000000001 td[83]=10.3 td[84]=10.4 td[85]=10.5 td[86]=10.6 td[87]=10.700000000000001 td[88]=10.8 td[89]=10.9 td[90]=11. td[91]=11.1 td[92]=11.200000000000001 td[93]=11.3 td[94]=11.4 td[95]=11.5 td[96]=11.600000000000001 td[97]=11.700000000000001 td[98]=11.8 td[99]=11.9 td[100]=12. td[101]=12.100000000000001 td[102]=12.200000000000001 td[103]=12.3 td[104]=12.4 td[105]=12.5 td[106]=12.600000000000001 td[107]=12.700000000000001 td[108]=12.8 td[109]=12.9 td[110]=13. td[111]=13.100000000000001 td[112]=13.200000000000001 td[113]=13.3 td[114]=13.4 td[115]=13.5 td[116]=13.600000000000001 td[117]=13.700000000000001 td[118]=13.8 td[119]=13.9 td[120]=14. td[121]=14.100000000000001 td[122]=14.200000000000001 td[123]=14.3 td[124]=14.4 td[125]=14.5 td[126]=14.600000000000001 td[127]=14.700000000000001 td[128]=14.8 td[129]=14.9 td[130]=15. bct[0][0]=-6.395022155360145 bct[0][1]=-6.654952354994068 bct[0][2]=-6.888948589861781 bct[0][3]=-7.082062657258129 bct[0][4]=-7.275767561238976 bct[0][5]=-7.48698283376036 bct[0][6]=-7.704254284905159 bct[0][7]=-7.909255274422776 bct[0][8]=-8.136286787029755 bct[0][9]=-8.397831990382068 bct[0][10]=-8.676429532903112 bct[0][11]=-8.95916934213983 bct[0][12]=-9.190273332845704 bct[0][13]=-9.3847091829365 bct[0][14]=-9.577094163669008 bct[0][15]=-9.757180803139065 bct[0][16]=-9.930948502387928 bct[0][17]=-10.079303190628535 bct[0][18]=-10.22765787886914 bct[0][19]=-10.45053344660461 bct[0][20]=-10.736186403227379 bct[0][21]=-11.229283785395099 bct[0][22]=-11.791159795420144 bct[0][23]=-12.322140558677862 bct[0][24]=-12.773059471044062 bct[0][25]=-13.203697347917487 bct[0][26]=-13.24431876213202 bct[0][27]=-13.186714579098433 bct[0][28]=-13.130111517871207 bct[0][29]=-13.231804633973873 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bct[1][1]=-3.4381699552906664 bct[1][2]=-3.5555353140699872 bct[1][3]=-3.682657941103013 bct[1][4]=-3.8152758253989987 bct[1][5]=-3.956858845211015 bct[1][6]=-4.094531520516839 bct[1][7]=-4.228014215191751 bct[1][8]=-4.362142790430276 bct[1][9]=-4.495263558325909 bct[1][10]=-4.631451065673255 bct[1][11]=-4.766010285167987 bct[1][12]=-4.9128008578303515 bct[1][13]=-5.058572615733952 bct[1][14]=-5.203908239405083 bct[1][15]=-5.351749661917828 bct[1][16]=-5.498440827816225 bct[1][17]=-5.64339808282588 bct[1][18]=-5.788355337835537 bct[1][19]=-5.938829914010338 bct[1][20]=-6.095729373895152 bct[1][21]=-6.268681806949762 bct[1][22]=-6.445849530968997 bct[1][23]=-6.621899009541406 bct[1][24]=-6.788702616511063 bct[1][25]=-6.948231713330248 bct[1][26]=-7.110141746737961 bct[1][27]=-7.273603831950621 bct[1][28]=-7.437062770804548 bct[1][29]=-7.602513871008245 bct[1][30]=-7.776862263612658 bct[1][31]=-7.944425594529796 bct[1][32]=-8.097683224675071 bct[1][33]=-8.250940854820346 bct[1][34]=-8.409116295486266 bct[1][35]=-8.588716965811205 bct[1][36]=-8.770296637747803 bct[1][37]=-8.93932770304942 bct[1][38]=-9.097453506841612 bct[1][39]=-9.2555793106338 bct[1][40]=-9.413705114425989 bct[1][41]=-9.548278144020891 bct[1][42]=-9.638654247208159 bct[1][43]=-9.727848158603251 bct[1][44]=-9.81460177173779 bct[1][45]=-9.878274374309044 bct[1][46]=-9.941946976880303 bct[1][47]=-10.005619579451556 bct[1][48]=-10.060813216597698 bct[1][49]=-10.094082353315736 bct[1][50]=-10.130683010869419 bct[1][51]=-10.188294195145389 bct[1][52]=-10.301751271403006 bct[1][53]=-10.425026121958318 bct[1][54]=-10.548300972513625 bct[1][55]=-10.671575823068935 bct[1][56]=-10.794850673624243 bct[1][57]=-10.961100132971934 bct[1][58]=-11.092637145584032 bct[1][59]=-11.18737188535205 bct[1][60]=-11.285854552348448 bct[1][61]=-11.3844133415299 bct[1][62]=-11.481520090762153 bct[1][63]=-11.578626839994412 bct[1][64]=-11.675733589226668 bct[1][65]=-11.772840338458924 bct[1][66]=-np.inf 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bct[1][118]=-np.inf bct[1][119]=-np.inf bct[1][120]=-np.inf bct[1][121]=-np.inf bct[1][122]=-np.inf bct[1][123]=-np.inf bct[1][124]=-np.inf bct[1][125]=-np.inf bct[1][126]=-np.inf bct[1][127]=-np.inf bct[1][128]=-np.inf bct[1][129]=-np.inf bct[1][130]=-np.inf bct[2][0]=-1.1944937003628249 bct[2][1]=-1.2587681978190854 bct[2][2]=-1.3227920738605798 bct[2][3]=-1.388915384611205 bct[2][4]=-1.4551675897002387 bct[2][5]=-1.527978460921148 bct[2][6]=-1.6058561728753706 bct[2][7]=-1.684785648364281 bct[2][8]=-1.7661570957017574 bct[2][9]=-1.8446888854024133 bct[2][10]=-1.9235987762103244 bct[2][11]=-1.9986953691171572 bct[2][12]=-2.074994546781418 bct[2][13]=-2.149695378420581 bct[2][14]=-2.2242253161909917 bct[2][15]=-2.2996493972899095 bct[2][16]=-2.377020313124151 bct[2][17]=-2.4559731465163503 bct[2][18]=-2.5349259799085493 bct[2][19]=-2.6153269939782176 bct[2][20]=-2.6928675957633836 bct[2][21]=-2.774163914841278 bct[2][22]=-2.855272486297252 bct[2][23]=-2.936910991681731 bct[2][24]=-3.025773533293651 bct[2][25]=-3.12016230694701 bct[2][26]=-3.219906057710749 bct[2][27]=-3.320597159192505 bct[2][28]=-3.4213155407433646 bct[2][29]=-3.528563447643646 bct[2][30]=-3.641723531009429 bct[2][31]=-3.7548915152190476 bct[2][32]=-3.8686426971596606 bct[2][33]=-3.982393879100275 bct[2][34]=-4.0956730099110255 bct[2][35]=-4.206389657972035 bct[2][36]=-4.316569037225167 bct[2][37]=-4.425903533314796 bct[2][38]=-4.535176189498572 bct[2][39]=-4.644448845682347 bct[2][40]=-4.7537215018661225 bct[2][41]=-4.858865134270627 bct[2][42]=-4.962524236623965 bct[2][43]=-5.0624884548409055 bct[2][44]=-5.1618530911130565 bct[2][45]=-5.2555467168267995 bct[2][46]=-5.349240342540544 bct[2][47]=-5.442933968254287 bct[2][48]=-5.538658652281352 bct[2][49]=-5.6396351490741505 bct[2][50]=-5.747115589116515 bct[2][51]=-5.8561808767259595 bct[2][52]=-5.965973243328374 bct[2][53]=-6.071640876865919 bct[2][54]=-6.1773085104034635 bct[2][55]=-6.282976143941006 bct[2][56]=-6.388643777478551 bct[2][57]=-6.4807562482465375 bct[2][58]=-6.55052247635019 bct[2][59]=-6.6074480898172006 bct[2][60]=-6.655176147902994 bct[2][61]=-6.694859381088254 bct[2][62]=-6.732494921565965 bct[2][63]=-6.770130462043676 bct[2][64]=-6.8077660025213875 bct[2][65]=-6.845401542999099 bct[2][66]=-6.875673355011166 bct[2][67]=-6.901696811016439 bct[2][68]=-6.939822092017933 bct[2][69]=-6.977872586197361 bct[2][70]=-7.014579062386765 bct[2][71]=-7.0446929462260375 bct[2][72]=-7.073420001255991 bct[2][73]=-7.1021470562859434 bct[2][74]=-7.130874111315897 bct[2][75]=-7.159601166345851 bct[2][76]=-7.189679800748022 bct[2][77]=-7.223679259163889 bct[2][78]=-7.2460749788223815 bct[2][79]=-7.253710131377538 bct[2][80]=-7.259543344728238 bct[2][81]=-7.253734397401479 bct[2][82]=-7.247621181246449 bct[2][83]=-7.241423303114622 bct[2][84]=-7.235225424982794 bct[2][85]=-7.229027546850967 bct[2][86]=-7.22282966871914 bct[2][87]=-7.216631790587312 bct[2][88]=-7.205936871373936 bct[2][89]=-7.1919894138482565 bct[2][90]=-7.185842893891987 bct[2][91]=-7.185946396701555 bct[2][92]=-7.186151067967263 bct[2][93]=-7.1922192758203485 bct[2][94]=-7.1990433593525385 bct[2][95]=-7.2067846812335095 bct[2][96]=-7.2145260031144804 bct[2][97]=-7.222267324995451 bct[2][98]=-7.230008646876422 bct[2][99]=-7.237749968757392 bct[2][100]=-7.245491290638363 bct[2][101]=-7.254739463313834 bct[2][102]=-7.264506279593778 bct[2][103]=-7.2661632263056255 bct[2][104]=-7.260072731489626 bct[2][105]=-7.253982236673626 bct[2][106]=-7.245512143821606 bct[2][107]=-7.231543095971819 bct[2][108]=-7.216694781780314 bct[2][109]=-7.20101143860175 bct[2][110]=-7.185328095423185 bct[2][111]=-7.169644752244622 bct[2][112]=-7.153961409066058 bct[2][113]=-7.138278065887494 bct[2][114]=-7.1225947227089295 bct[2][115]=-7.106911379530366 bct[2][116]=-7.090464326688241 bct[2][117]=-7.074489314668876 bct[2][118]=-7.062692041670464 bct[2][119]=-7.058161542607227 bct[2][120]=-7.053631043543992 bct[2][121]=-7.049100544480756 bct[2][122]=-7.049737835924413 bct[2][123]=-7.050431268211568 bct[2][124]=-7.052330981493977 bct[2][125]=-7.054273545650675 bct[2][126]=-7.056216109807375 bct[2][127]=-7.0581586739640745 bct[2][128]=-7.060101238120772 bct[2][129]=-7.062043802277472 bct[2][130]=-7.063986366434171 bct[3][0]=0.38609523271530216 bct[3][1]=0.3490210969018331 bct[3][2]=0.31057498662270305 bct[3][3]=0.2694773567529319 bct[3][4]=0.22701723497647697 bct[3][5]=0.18380374510443853 bct[3][6]=0.14060448846295434 bct[3][7]=0.09763967609161975 bct[3][8]=0.05307478707418645 bct[3][9]=0.01030749728379133 bct[3][10]=-0.031946598905093805 bct[3][11]=-0.0758986518415461 bct[3][12]=-0.12365134573734138 bct[3][13]=-0.17097398616022552 bct[3][14]=-0.2183959209955796 bct[3][15]=-0.2659705958769188 bct[3][16]=-0.31132013433265227 bct[3][17]=-0.35662705400566125 bct[3][18]=-0.40193397367867 bct[3][19]=-0.4466297858088606 bct[3][20]=-0.4917310399645575 bct[3][21]=-0.5397781664015691 bct[3][22]=-0.588430154572423 bct[3][23]=-0.6378045763864683 bct[3][24]=-0.6898148895119767 bct[3][25]=-0.7451464016649201 bct[3][26]=-0.8044086353725005 bct[3][27]=-0.8640312461046007 bct[3][28]=-0.9236603951785824 bct[3][29]=-0.9859576338032234 bct[3][30]=-1.0515319968238648 bct[3][31]=-1.1192546872096087 bct[3][32]=-1.1881641929285152 bct[3][33]=-1.2570736986474218 bct[3][34]=-1.3257245607167376 bct[3][35]=-1.394789419526087 bct[3][36]=-1.4648079585424982 bct[3][37]=-1.5368456448735497 bct[3][38]=-1.608647974737997 bct[3][39]=-1.6804503046024433 bct[3][40]=-1.7522526344668898 bct[3][41]=-1.8223690526108802 bct[3][42]=-1.8935701887443408 bct[3][43]=-1.9632819693760268 bct[3][44]=-2.0327192469485023 bct[3][45]=-2.099560199263639 bct[3][46]=-2.1664011515787758 bct[3][47]=-2.2332421038939123 bct[3][48]=-2.2996525135469272 bct[3][49]=-2.3649496467202353 bct[3][50]=-2.4279602060559258 bct[3][51]=-2.4892070343011437 bct[3][52]=-2.5457229737729286 bct[3][53]=-2.6010454996394867 bct[3][54]=-2.656368025506044 bct[3][55]=-2.7116905513726017 bct[3][56]=-2.76701307723916 bct[3][57]=-2.8210760563508317 bct[3][58]=-2.8735368108686323 bct[3][59]=-2.9258983728498116 bct[3][60]=-2.978658546999684 bct[3][61]=-3.0316585787284582 bct[3][62]=-3.084669668629525 bct[3][63]=-3.1376807585305935 bct[3][64]=-3.1906918484316615 bct[3][65]=-3.2437029383327287 bct[3][66]=-3.2981855175517882 bct[3][67]=-3.353632456422372 bct[3][68]=-3.4082206725724378 bct[3][69]=-3.46285827879853 bct[3][70]=-3.5183834899378326 bct[3][71]=-3.574941858983337 bct[3][72]=-3.631717564862788 bct[3][73]=-3.688493270742242 bct[3][74]=-3.7452689766216944 bct[3][75]=-3.8020446825011462 bct[3][76]=-3.856898958624713 bct[3][77]=-3.9061793201988415 bct[3][78]=-3.955543153117568 bct[3][79]=-4.005013165984747 bct[3][80]=-4.054350704219121 bct[3][81]=-4.102832336240345 bct[3][82]=-4.14682597229144 bct[3][83]=-4.189570835627795 bct[3][84]=-4.2323156989641495 bct[3][85]=-4.275060562300505 bct[3][86]=-4.317805425636861 bct[3][87]=-4.360550288973216 bct[3][88]=-4.4046755450637045 bct[3][89]=-4.449799186589734 bct[3][90]=-4.49238567713181 bct[3][91]=-4.532939431061269 bct[3][92]=-4.573398955606409 bct[3][93]=-4.60839711933168 bct[3][94]=-4.643638213917059 bct[3][95]=-4.679174099705746 bct[3][96]=-4.714709985494432 bct[3][97]=-4.750245871283118 bct[3][98]=-4.785781757071804 bct[3][99]=-4.82131764286049 bct[3][100]=-4.856853528649175 bct[3][101]=-4.888757926634216 bct[3][102]=-4.916987064176154 bct[3][103]=-4.940036307389199 bct[3][104]=-4.959371822966301 bct[3][105]=-4.978707338543405 bct[3][106]=-4.997052004628704 bct[3][107]=-5.013106940817392 bct[3][108]=-5.026369190179245 bct[3][109]=-5.036979257441615 bct[3][110]=-5.047589324703985 bct[3][111]=-5.058199391966355 bct[3][112]=-5.068809459228724 bct[3][113]=-5.079419526491096 bct[3][114]=-5.090029593753465 bct[3][115]=-5.100639661015835 bct[3][116]=-5.110226177346343 bct[3][117]=-5.1181705116419 bct[3][118]=-5.119712402367194 bct[3][119]=-5.12097149374996 bct[3][120]=-5.1222305851327254 bct[3][121]=-5.123489676515492 bct[3][122]=-5.1203056051913265 bct[3][123]=-5.117073265095076 bct[3][124]=-5.1112222253529085 bct[3][125]=-5.105278161207828 bct[3][126]=-5.099334097062746 bct[3][127]=-5.0933900329176645 bct[3][128]=-5.087445968772583 bct[3][129]=-5.081501904627501 bct[3][130]=-5.0755578404824195 bct[4][0]=1.5261441422016604 bct[4][1]=1.508165936913107 bct[4][2]=1.4889063172270438 bct[4][3]=1.4664426010458873 bct[4][4]=1.4421031329434644 bct[4][5]=1.4167195513030892 bct[4][6]=1.3887393762249616 bct[4][7]=1.3597066243370834 bct[4][8]=1.3291317661608713 bct[4][9]=1.2985443258175313 bct[4][10]=1.2687211074246822 bct[4][11]=1.2405716150782125 bct[4][12]=1.2148501337795148 bct[4][13]=1.191153283835013 bct[4][14]=1.1675109155940742 bct[4][15]=1.144323452216552 bct[4][16]=1.1231996212471234 bct[4][17]=1.1051446192420544 bct[4][18]=1.0870896172369855 bct[4][19]=1.0721101768225534 bct[4][20]=1.059960300227151 bct[4][21]=1.0473484709127405 bct[4][22]=1.034793327830716 bct[4][23]=1.0213630240591374 bct[4][24]=1.0054309905898768 bct[4][25]=0.9880320572325879 bct[4][26]=0.9674434425251089 bct[4][27]=0.9463683893287356 bct[4][28]=0.925277936485467 bct[4][29]=0.9010618197487862 bct[4][30]=0.8705627554949844 bct[4][31]=0.8352612054423265 bct[4][32]=0.796983023080082 bct[4][33]=0.7587048407178374 bct[4][34]=0.7197928707240459 bct[4][35]=0.6769101840275943 bct[4][36]=0.6329421244666099 bct[4][37]=0.5832577961700479 bct[4][38]=0.5299544715883221 bct[4][39]=0.4766511470065966 bct[4][40]=0.4233478224248713 bct[4][41]=0.3698748558594276 bct[4][42]=0.30985919901828507 bct[4][43]=0.24892067830215356 bct[4][44]=0.18793272506171355 bct[4][45]=0.12647722544214343 bct[4][46]=0.06502172582257275 bct[4][47]=0.0035662262030025983 bct[4][48]=-0.05746759872553695 bct[4][49]=-0.11741107754691467 bct[4][50]=-0.1775326134896975 bct[4][51]=-0.23689336124857047 bct[4][52]=-0.29393376844369973 bct[4][53]=-0.350167396363407 bct[4][54]=-0.4064010242831138 bct[4][55]=-0.4626346522028206 bct[4][56]=-0.518868280122528 bct[4][57]=-0.572926865872799 bct[4][58]=-0.6258640448269991 bct[4][59]=-0.6780030006056735 bct[4][60]=-0.7296246920866905 bct[4][61]=-0.7806659139608182 bct[4][62]=-0.8315005516532242 bct[4][63]=-0.8823351893456322 bct[4][64]=-0.9331698270380392 bct[4][65]=-0.984004464730446 bct[4][66]=-1.0355883668538979 bct[4][67]=-1.088905105619253 bct[4][68]=-1.1417253670462373 bct[4][69]=-1.194524749980565 bct[4][70]=-1.246948918820226 bct[4][71]=-1.2995989485898356 bct[4][72]=-1.352296490844353 bct[4][73]=-1.404994033098872 bct[4][74]=-1.4576915753533903 bct[4][75]=-1.5103891176079085 bct[4][76]=-1.56293853226573 bct[4][77]=-1.6150582405739542 bct[4][78]=-1.6672873071131158 bct[4][79]=-1.7196554830841402 bct[4][80]=-1.7722794131745574 bct[4][81]=-1.826555746711513 bct[4][82]=-1.8804341826620163 bct[4][83]=-1.9342019046875223 bct[4][84]=-1.9879696267130282 bct[4][85]=-2.041737348738534 bct[4][86]=-2.0955050707640406 bct[4][87]=-2.149272792789547 bct[4][88]=-2.2007584790729786 bct[4][89]=-2.2505936559333137 bct[4][90]=-2.300072849606668 bct[4][91]=-2.349266833585278 bct[4][92]=-2.398431929173931 bct[4][93]=-2.4459227071152045 bct[4][94]=-2.4931434710975906 bct[4][95]=-2.54003657913781 bct[4][96]=-2.5869296871780296 bct[4][97]=-2.6338227952182494 bct[4][98]=-2.6807159032584686 bct[4][99]=-2.727609011298688 bct[4][100]=-2.774502119338907 bct[4][101]=-2.8214274463057127 bct[4][102]=-2.8681488577269842 bct[4][103]=-2.912633723308642 bct[4][104]=-2.955911816696697 bct[4][105]=-2.999189910084752 bct[4][106]=-3.0407015842617438 bct[4][107]=-3.0781312834153063 bct[4][108]=-3.112636335708578 bct[4][109]=-3.144363884998061 bct[4][110]=-3.1760914342875446 bct[4][111]=-3.207818983577029 bct[4][112]=-3.239546532866512 bct[4][113]=-3.271274082155996 bct[4][114]=-3.3030016314454786 bct[4][115]=-3.3347291807349624 bct[4][116]=-3.3631507037561477 bct[4][117]=-3.3902148845499656 bct[4][118]=-3.414339409400906 bct[4][119]=-3.4351306510514075 bct[4][120]=-3.4559218927019075 bct[4][121]=-3.4767131343524094 bct[4][122]=-3.4932599920594507 bct[4][123]=-3.5097607404487103 bct[4][124]=-3.5247362980922747 bct[4][125]=-3.539657676189641 bct[4][126]=-3.554579054287007 bct[4][127]=-3.569500432384372 bct[4][128]=-3.5844218104817376 bct[4][129]=-3.5993431885791027 bct[4][130]=-3.614264566676469 bct[5][0]=0.8625687785530236 bct[5][1]=0.8998257468116381 bct[5][2]=0.9369449781061147 bct[5][3]=0.9720168440102466 bct[5][4]=1.0062838165920958 bct[5][5]=1.04111429270014 bct[5][6]=1.0761040215447266 bct[5][7]=1.1114053175775311 bct[5][8]=1.147331369834863 bct[5][9]=1.181506883417438 bct[5][10]=1.2145469561991766 bct[5][11]=1.2449145635045842 bct[5][12]=1.2713249576512686 bct[5][13]=1.2944347207812958 bct[5][14]=1.3174277337799887 bct[5][15]=1.3369575122714545 bct[5][16]=1.3519712127971482 bct[5][17]=1.3634596670877501 bct[5][18]=1.3749481213783519 bct[5][19]=1.3829238611452839 bct[5][20]=1.3872122338700579 bct[5][21]=1.3894107689916444 bct[5][22]=1.3912852882141085 bct[5][23]=1.3929560093883209 bct[5][24]=1.3910064205831247 bct[5][25]=1.3872194001935432 bct[5][26]=1.3818855699917274 bct[5][27]=1.376187423344631 bct[5][28]=1.3704802289595426 bct[5][29]=1.362360264737382 bct[5][30]=1.3502818239901122 bct[5][31]=1.3372705039866082 bct[5][32]=1.3235490362075926 bct[5][33]=1.309827568428577 bct[5][34]=1.2956945389892063 bct[5][35]=1.279257685515189 bct[5][36]=1.2623045595892812 bct[5][37]=1.241468650931047 bct[5][38]=1.2181934788277056 bct[5][39]=1.1949183067243638 bct[5][40]=1.1716431346210225 bct[5][41]=1.1479277610167056 bct[5][42]=1.1213710707459794 bct[5][43]=1.094630768637213 bct[5][44]=1.0677796767936127 bct[5][45]=1.0398807052373864 bct[5][46]=1.0119817336811594 bct[5][47]=0.9840827621249328 bct[5][48]=0.9559802732977968 bct[5][49]=0.9273515393134443 bct[5][50]=0.8975904936568851 bct[5][51]=0.8675749432965557 bct[5][52]=0.8367517360346443 bct[5][53]=0.8054294308729969 bct[5][54]=0.7741071257113498 bct[5][55]=0.7427848205497027 bct[5][56]=0.7114625153880554 bct[5][57]=0.6795932360080764 bct[5][58]=0.6463376014618795 bct[5][59]=0.6125324378366542 bct[5][60]=0.5787948144146225 bct[5][61]=0.5450418041756591 bct[5][62]=0.511250660639022 bct[5][63]=0.47745951710238377 bct[5][64]=0.44366837356574607 bct[5][65]=0.4098772300291085 bct[5][66]=0.3764201593918445 bct[5][67]=0.34175938321083327 bct[5][68]=0.3080472144215468 bct[5][69]=0.2744146600659149 bct[5][70]=0.24221288225810006 bct[5][71]=0.21051690778598356 bct[5][72]=0.1789273349538516 bct[5][73]=0.14733776212171854 bct[5][74]=0.11574818928958602 bct[5][75]=0.08415861645745348 bct[5][76]=0.05293334519951929 bct[5][77]=0.02276488376697168 bct[5][78]=-0.007206607741498949 bct[5][79]=-0.0369275431281463 bct[5][80]=-0.06664523360561768 bct[5][81]=-0.0963419590283765 bct[5][82]=-0.12534634905935235 bct[5][83]=-0.15415809864402139 bct[5][84]=-0.18296984822869033 bct[5][85]=-0.2117815978133594 bct[5][86]=-0.24059334739802837 bct[5][87]=-0.2694050969826979 bct[5][88]=-0.29726320045408955 bct[5][89]=-0.32443156806059353 bct[5][90]=-0.351067877979208 bct[5][91]=-0.37727790930855565 bct[5][92]=-0.4034588891672603 bct[5][93]=-0.4279560995237458 bct[5][94]=-0.4516421673210853 bct[5][95]=-0.4743439316381764 bct[5][96]=-0.497045695955268 bct[5][97]=-0.5197474602723592 bct[5][98]=-0.5424492245894502 bct[5][99]=-0.5651509889065415 bct[5][100]=-0.5878527532236326 bct[5][101]=-0.6102005874289044 bct[5][102]=-0.6318113098101996 bct[5][103]=-0.6492418654946186 bct[5][104]=-0.6641873275616836 bct[5][105]=-0.6791327896287488 bct[5][106]=-0.6931774065911833 bct[5][107]=-0.7051402825976489 bct[5][108]=-0.7161985153328854 bct[5][109]=-0.7263976189071579 bct[5][110]=-0.7365967224814306 bct[5][111]=-0.7467958260557035 bct[5][112]=-0.756994929629976 bct[5][113]=-0.7671940332042487 bct[5][114]=-0.7773931367785214 bct[5][115]=-0.787592240352794 bct[5][116]=-0.7962676911651713 bct[5][117]=-0.8042843295004606 bct[5][118]=-0.8110255560009487 bct[5][119]=-0.8177213776727413 bct[5][120]=-0.8244171993445338 bct[5][121]=-0.8311130210163266 bct[5][122]=-0.8370579955126625 bct[5][123]=-0.8429948131006036 bct[5][124]=-0.8475889470383994 bct[5][125]=-0.8521353846529259 bct[5][126]=-0.8566818222674524 bct[5][127]=-0.8612282598819789 bct[5][128]=-0.8657746974965055 bct[5][129]=-0.8703211351110316 bct[5][130]=-0.8748675727255582 bct[6][0]=-0.8031771907732801 bct[6][1]=-0.6616432769806067 bct[6][2]=-0.5229297334326294 bct[6][3]=-0.3938712250438224 bct[6][4]=-0.2692090342217983 bct[6][5]=-0.14880741925208732 bct[6][6]=-0.042392617999716456 bct[6][7]=0.05999937114847218 bct[6][8]=0.15125182769451798 bct[6][9]=0.22529162269828318 bct[6][10]=0.2949905276639512 bct[6][11]=0.35725034824180146 bct[6][12]=0.40836641605789503 bct[6][13]=0.4530337540988182 bct[6][14]=0.4974400025347985 bct[6][15]=0.533560175629891 bct[6][16]=0.5605307596774118 bct[6][17]=0.5842683820449969 bct[6][18]=0.6080060044125819 bct[6][19]=0.6272935405256543 bct[6][20]=0.6427301587864034 bct[6][21]=0.6570429256614783 bct[6][22]=0.6710503996930787 bct[6][23]=0.6848572574898931 bct[6][24]=0.6951793407257537 bct[6][25]=0.7052614866591729 bct[6][26]=0.7154786811157541 bct[6][27]=0.7254339840668597 bct[6][28]=0.735393060725723 bct[6][29]=0.7455778733036434 bct[6][30]=0.7536261288286208 bct[6][31]=0.765132268872708 bct[6][32]=0.7777225768669411 bct[6][33]=0.7903128848611738 bct[6][34]=0.8027403126390049 bct[6][35]=0.816391318986692 bct[6][36]=0.8313039037583483 bct[6][37]=0.8423334777949201 bct[6][38]=0.8524615387490426 bct[6][39]=0.8625895997031652 bct[6][40]=0.872717660657288 bct[6][41]=0.8825206088603137 bct[6][42]=0.8929860283470763 bct[6][43]=0.9043703190746943 bct[6][44]=0.915648774376403 bct[6][45]=0.9259262091787491 bct[6][46]=0.9362036439810952 bct[6][47]=0.9464810787834413 bct[6][48]=0.9564094137894618 bct[6][49]=0.965435063355662 bct[6][50]=0.9729934642218909 bct[6][51]=0.980041656424586 bct[6][52]=0.9854419994136597 bct[6][53]=0.9899132124422967 bct[6][54]=0.9943844254709332 bct[6][55]=0.99885563849957 bct[6][56]=1.0033268515282068 bct[6][57]=1.0075327176565485 bct[6][58]=1.0089294091353798 bct[6][59]=1.0098891048766732 bct[6][60]=1.009893680551557 bct[6][61]=1.0091526470945904 bct[6][62]=1.0082630971364777 bct[6][63]=1.0073735471783647 bct[6][64]=1.0064839972202515 bct[6][65]=1.0055944472621385 bct[6][66]=1.004082022228197 bct[6][67]=0.9987475363655638 bct[6][68]=0.9921505821022021 bct[6][69]=0.9855157703904983 bct[6][70]=0.9782006103203108 bct[6][71]=0.9695629150163863 bct[6][72]=0.9606470089774322 bct[6][73]=0.9517311029384775 bct[6][74]=0.9428151968995233 bct[6][75]=0.933899290860569 bct[6][76]=0.9249035164264161 bct[6][77]=0.915676050144737 bct[6][78]=0.906107681815421 bct[6][79]=0.8961056681192958 bct[6][80]=0.8859428666142528 bct[6][81]=0.8747412301131305 bct[6][82]=0.8636233420756178 bct[6][83]=0.8525287568211186 bct[6][84]=0.8414341715666194 bct[6][85]=0.8303395863121203 bct[6][86]=0.8192450010576211 bct[6][87]=0.8081504158031217 bct[6][88]=0.7971780826909902 bct[6][89]=0.7862941698911485 bct[6][90]=0.7753530042047259 bct[6][91]=0.764365968154471 bct[6][92]=0.7533826517084928 bct[6][93]=0.7426149166462809 bct[6][94]=0.7318240842178161 bct[6][95]=0.72100522364839 bct[6][96]=0.710186363078964 bct[6][97]=0.699367502509538 bct[6][98]=0.6885486419401121 bct[6][99]=0.6777297813706862 bct[6][100]=0.6669109208012602 bct[6][101]=0.656468863283211 bct[6][102]=0.646501339832352 bct[6][103]=0.6379291227921996 bct[6][104]=0.629926775752191 bct[6][105]=0.6219244287121823 bct[6][106]=0.6141503833560539 bct[6][107]=0.6069039147866637 bct[6][108]=0.5997449523582546 bct[6][109]=0.5926690934910738 bct[6][110]=0.5855932346238928 bct[6][111]=0.5785173757567117 bct[6][112]=0.5714415168895307 bct[6][113]=0.5643656580223498 bct[6][114]=0.557289799155169 bct[6][115]=0.5502139402879881 bct[6][116]=0.5431312638203162 bct[6][117]=0.5361746733845015 bct[6][118]=0.5297200017551699 bct[6][119]=0.5227211696003639 bct[6][120]=0.5157223374455578 bct[6][121]=0.5087235052907516 bct[6][122]=0.5024655813732288 bct[6][123]=0.49621570639138535 bct[6][124]=0.49062833105232573 bct[6][125]=0.485064489772927 bct[6][126]=0.479500648493528 bct[6][127]=0.4739368072141293 bct[6][128]=0.4683729659347304 bct[6][129]=0.46280912465533164 bct[6][130]=0.4572452833759328 bct[7][0]=-2.7570319209201695 bct[7][1]=-2.5745104153822767 bct[7][2]=-2.394426115465908 bct[7][3]=-2.22602049300832 bct[7][4]=-2.0662313168773636 bct[7][5]=-1.9035842532327483 bct[7][6]=-1.7360276977751554 bct[7][7]=-1.569361389265861 bct[7][8]=-1.4140983373221876 bct[7][9]=-1.2748880356865127 bct[7][10]=-1.1402766521367182 bct[7][11]=-1.0091428848194288 bct[7][12]=-0.8837193250002313 bct[7][13]=-0.7688631391427126 bct[7][14]=-0.6545802905462379 bct[7][15]=-0.5437966763862305 bct[7][16]=-0.43431566246498376 bct[7][17]=-0.3240638288260254 bct[7][18]=-0.21381199518706753 bct[7][19]=-0.10838903384601349 bct[7][20]=-0.009006232633358247 bct[7][21]=0.09145389352765738 bct[7][22]=0.19195510337468666 bct[7][23]=0.29198047012213063 bct[7][24]=0.38946729845563227 bct[7][25]=0.4856369695616392 bct[7][26]=0.5796745441210371 bct[7][27]=0.6733970449946768 bct[7][28]=0.7670986961267448 bct[7][29]=0.8561453109937323 bct[7][30]=0.9387634052049503 bct[7][31]=1.0134070138571047 bct[7][32]=1.0852048177231237 bct[7][33]=1.1570026215891425 bct[7][34]=1.2278826824159788 bct[7][35]=1.2933514157377075 bct[7][36]=1.3574807974983523 bct[7][37]=1.4112311698545068 bct[7][38]=1.4582534847663746 bct[7][39]=1.5052757996782415 bct[7][40]=1.5522981145901085 bct[7][41]=1.5976384809628437 bct[7][42]=1.6296264146628645 bct[7][43]=1.658549999022779 bct[7][44]=1.6871817708217762 bct[7][45]=1.713053499346591 bct[7][46]=1.7389252278714047 bct[7][47]=1.7647969563962194 bct[7][48]=1.7904644286525333 bct[7][49]=1.8156037448872517 bct[7][50]=1.839351647220738 bct[7][51]=1.862802857217034 bct[7][52]=1.8855277026043737 bct[7][53]=1.9080177817256212 bct[7][54]=1.9305078608468678 bct[7][55]=1.9529979399681148 bct[7][56]=1.9754880190893616 bct[7][57]=1.996481210926126 bct[7][58]=2.0133013002663547 bct[7][59]=2.029734702892299 bct[7][60]=2.0456216388527397 bct[7][61]=2.0610484066297055 bct[7][62]=2.0763662292426175 bct[7][63]=2.0916840518555304 bct[7][64]=2.1070018744684433 bct[7][65]=2.1223196970813554 bct[7][66]=2.1368822367224993 bct[7][67]=2.149434800001257 bct[7][68]=2.161569925548716 bct[7][69]=2.1736460057969706 bct[7][70]=2.1846609640164267 bct[7][71]=2.194935430035942 bct[7][72]=2.205054124871465 bct[7][73]=2.2151728197069884 bct[7][74]=2.2252915145425116 bct[7][75]=2.2354102093780344 bct[7][76]=2.245411880915977 bct[7][77]=2.2550740771964906 bct[7][78]=2.264240050111333 bct[7][79]=2.272774800758905 bct[7][80]=2.281201102984583 bct[7][81]=2.288926730098809 bct[7][82]=2.2956495192988124 bct[7][83]=2.302093271567204 bct[7][84]=2.3085370238355964 bct[7][85]=2.314980776103989 bct[7][86]=2.3214245283723813 bct[7][87]=2.327868280640774 bct[7][88]=2.3339010884753555 bct[7][89]=2.3396366758729976 bct[7][90]=2.344955674667918 bct[7][91]=2.349940907395896 bct[7][92]=2.3549105074868932 bct[7][93]=2.358974068853997 bct[7][94]=2.3628144280078778 bct[7][95]=2.3663839362332766 bct[7][96]=2.3699534444586763 bct[7][97]=2.3735229526840755 bct[7][98]=2.377092460909475 bct[7][99]=2.3806619691348745 bct[7][100]=2.3842314773602737 bct[7][101]=2.387619419818451 bct[7][102]=2.390977632064747 bct[7][103]=2.3954785322805416 bct[7][104]=2.399980155855516 bct[7][105]=2.404481779430491 bct[7][106]=2.408860113083282 bct[7][107]=2.41295353906532 bct[7][108]=2.417086255022269 bct[7][109]=2.421256284210027 bct[7][110]=2.4254263133977845 bct[7][111]=2.4295963425855422 bct[7][112]=2.4337663717733005 bct[7][113]=2.4379364009610582 bct[7][114]=2.442106430148816 bct[7][115]=2.446276459336574 bct[7][116]=2.450358172847835 bct[7][117]=2.454302418109301 bct[7][118]=2.457592129102455 bct[7][119]=2.460076759473851 bct[7][120]=2.4625613898452468 bct[7][121]=2.465046020216643 bct[7][122]=2.4670739167754094 bct[7][123]=2.469096851557675 bct[7][124]=2.4704617934678703 bct[7][125]=2.4718033614129973 bct[7][126]=2.4731449293581242 bct[7][127]=2.4744864973032517 bct[7][128]=2.4758280652483786 bct[7][129]=2.4771696331935056 bct[7][130]=2.4785112011386325 return td, bct
register_model('DiUj2017', KNTable, get_DiUj2017_model, usage="table")