The ABINIT Users Mailing List ( CLOSED )

[Josef Zwanziger <jzwanzig@dal.ca>]

Hi, you might try as an alternative USpp2Abinit together with
Vanderbilt's code. I've attached the Al PAW data I made this way. It
uses two projectors in the s and p channel; for aluminum metal, run with
occopt 3 and the default tsmear, 6x6x6 kpt mesh, it converges the total
energy to about 1 part in 10^5 for ecut = 15 Ha. In general I have had
better luck with USpp2Abinit than with atompaw; I don't know why, I
think just because I have put a lot more time into understanding the
Vanderbilt approach (though atompaw should be easier!) I also read your
post yesterday about Bi PAW; that's something I'm playing with too and
will post you something if and when I get something good. I would also
encourage you to set aside some substantial time to get the feel for
making your own pseudo's and paw data; the downloadable files are
typically good for something but not necessarily for your application,
and you will get much more satisfactory answers (and a better feel for
what might be going wrong) if you make your own pseudo's. 

Good luck,

Joe

On Wed, 2007-04-25 at 19:21 +0900, Pio Baettig wrote:
> Dear Abinit-users,
> 
> I have a small problem using PAW implemented in Abinit.
> I downloaded the Al-PAWs (LDA and GGA) from
> http://www.wfu.edu/%7Enatalie/papers/pwpaw/periodictable/periodictable.html
> and started doing convergence tests with respect to number of K-points and
> the cutoff-energy. I am using Abinit 5.3.4
> 
> The first thing I noticed, is that the convergence with respect to the
> energy-cutoff is quite slow, for Al around 35 Ha are needed to converge the
> energy to one mHa. (8*8*8 k-points seem also to be sufficient.)
> 
> I tried the same calculations for a cubic unit cell
> (a=4.05Angst, pos. 0.0 0.0 0.0;0.0 0.5 0.5;0.5 0.0 0.5;0.5 0.5;0.0 , 
> nband=40)
> and for a rhombohedral unit cell
> (a=4.05/SQRT(2), alpha=60 deg, pos:0.0 0.0 0.0, nband=10)
> and then took the difference of
> E(cubic)-(4*E(rhomb)) which should converge to zero quite fast. (even though
> the number of k-points in the irreducible Brillouin-zone is not the same
> for the same mesh in the full BZ, the convergence should still be good),
> but the energy-difference converges to about 0.28 Ha, which I interpret,
> that I cannot compare energies of different structures.
> 
> I did not yet repeat the same calculations with another element in order to
> check whether the problem is with the Al-PAWs or with the method. I hope not
> to have forgotten something important in the inputs.
> 
> Please find attached the inputs used for the cubic and the rhombohedral 
> case.
> I also attach a table with the energies. Lines are for the different 
> k-point-
> meshes, columns for the different cutoff energies.
> First comes LDA, then GGA,
> for each I put a table with the energies of the cubic unit cell, then the
> rhombohedral unit cell, then the difference (c-4r)
> 
> If someone has some insight into the behaviour, I would be very grateful
> 
> Best regards,
> 
> Pio Baettig
> 
> 
> Al LDA      All Energies in Hartree
> Cubic cell, 4 Atoms per cell
> pawecutdg 50
> 
>                  10 Ha        15 Ha        20 Ha        25 Ha        30 Ha  
>       35 Ha        40 Ha
> 2*2*2     -323.818405  -325.507127  -325.547488  -325.556193  -325.563865  
> -325.565574  -325.565747
> 4*4*4     -323.859252  -325.489153  -325.530181  -325.538974  -325.546555  
> -325.548254  -325.548420
> 6*6*6     -323.822893  -325.495309  -325.536682  -325.545438  -325.553077  
> -325.554773  -325.554938
> 8*8*8     -323.840451  -325.497445  -325.538481  -325.547271  -325.554878  
> -325.556571  -325.556736
> 10*10*10  -323.832626  -325.497161  -325.538138  -325.546904  -325.554532  
> -325.556224  -325.556389
> 12*12*12  -323.837675  -325.497580  -325.538388  -325.547160  -325.554784  
> -325.556475  -325.556640
> 14*14*14  -323.834228  -325.498300  -325.539150  -325.547930  -325.555543  
> -325.557237  -325.557402
> 
> Rhombohedral cell, 1 Atom per cell
>                  10 Ha        15 Ha        20 Ha        25 Ha        30 Ha  
>       35 Ha        40 Ha
> 2*2*2      -80.915799   -81.338517   -81.348628   -81.350809   -81.352730   
> -81.353157   -81.353200
> 4*4*4      -80.902754   -81.310862   -81.321181   -81.323385   -81.325284   
> -81.325709   -81.325750
> 6*6*6      -80.887276   -81.306179   -81.316589   -81.318785   -81.320698   
> -81.321123   -81.321164
> 8*8*8      -80.889724   -81.304854   -81.315185   -81.317389   -81.319295   
> -81.319719   -81.319760
> 10*10*10   -80.887267   -81.304314   -81.314631   -81.316829   -81.318740   
> -81.319164   -81.319205
> 12*12*12   -80.888190   -81.304104   -81.314380   -81.316580   -81.318490   
> -81.318914   -81.318955
> 14*14*14   -80.887086   -81.303973   -81.314260   -81.316462   -81.318369   
> -81.318794   -81.318834
> 
> 4Atom-(4*1Atom)LDA
>                  10 Ha        15 Ha        20 Ha        25 Ha        30 Ha  
>       35 Ha        40 Ha
> 2*2*2       -0.155210    -0.153059    -0.152976    -0.152958    -0.152946   
>  -0.152945    -0.152945
> 4*4*4       -0.248235    -0.245706    -0.245458    -0.245432    -0.245420   
>  -0.245418    -0.245418
> 6*6*6       -0.273791    -0.270591    -0.270325    -0.270298    -0.270284   
>  -0.270281    -0.270281
> 8*8*8       -0.281555    -0.278029    -0.277741    -0.277715    -0.277700   
>  -0.277697    -0.277697
> 10*10*10    -0.283558    -0.279907    -0.279614    -0.279588    -0.279571   
>  -0.279568    -0.279569
> 12*12*12    -0.284914    -0.281164    -0.280866    -0.280840    -0.280823   
>  -0.280820    -0.280821
> 14*14*14    -0.285882    -0.282407    -0.282110    -0.282082    -0.282066   
>  -0.282063    -0.282064
> 
> 
> 
> 
> Al GGA cubic unitcell, 4 atoms per cell
>                  10 Ha        15 Ha        20 Ha        25 Ha        30 Ha  
>       35 Ha        40 Ha
> 2*2*2     -324.221240  -325.913822  -325.953945  -325.963125  -325.971014  
> -325.972678  -325.972859
> 4*4*4     -324.262114  -325.896183  -325.937010  -325.946272  -325.954064  
> -325.955718  -325.955893
> 6*6*6     -324.225793  -325.902285  -325.943454  -325.952680  -325.960533  
> -325.962184  -325.962357
> 8*8*8     -324.243307  -325.904338  -325.945162  -325.954425  -325.962245  
> -325.963893  -325.964067
> 10*10*10  -324.235510  -325.904054  -325.944818  -325.954056  -325.961898  
> -325.963545  -325.963719
> 12*12*12  -324.240541  -325.904466  -325.945061  -325.954305  -325.962142  
> -325.963789  -325.963962
> 14*14*14  -324.237230  -325.905400  -325.946050  -325.955299  -325.963124  
> -325.964774  -325.964948
> 
> Rhombohedral cell, 1 Atom per cell
>                  10 Ha        15 Ha        20 Ha        25 Ha        30 Ha  
>       35 Ha        40 Ha
> 2*2*2      -81.016061   -81.439727   -81.449781   -81.452077   -81.454050   
> -81.454466   -81.454511
> 4*4*4      -81.002915   -81.412074   -81.422350   -81.424667   -81.426615   
> -81.427029   -81.427073
> 6*6*6      -80.987461   -81.407435   -81.417806   -81.420114   -81.422076   
> -81.422490   -81.422534
> 8*8*8      -80.989922   -81.406143   -81.416437   -81.418752   -81.420707   
> -81.421120   -81.421163
> 10*10*10   -80.987482   -81.405626   -81.415908   -81.418216   -81.420176   
> -81.420589   -81.420633
> 12*12*12   -80.988412   -81.405432   -81.415674   -81.417984   -81.419942   
> -81.420356   -81.420399
> 14*14*14   -80.987317   -81.405312   -81.415565   -81.417877   -81.419833   
> -81.420246   -81.420290
> 
> 4Atom-(4*1Atom)GGA
>                  10 Ha        15 Ha        20 Ha        25 Ha        30 Ha  
>       35 Ha        40 Ha
> 2*2*2       -0.156995    -0.154916    -0.154821    -0.154816    -0.154816   
>  -0.154814    -0.154814
> 4*4*4       -0.250454    -0.247887    -0.247612    -0.247603    -0.247605   
>  -0.247602    -0.247602
> 6*6*6       -0.275948    -0.272544    -0.272229    -0.272226    -0.272227   
>  -0.272223    -0.272223
> 8*8*8       -0.283621    -0.279767    -0.279414    -0.279416    -0.279419   
>  -0.279413    -0.279414
> 10*10*10    -0.285581    -0.281552    -0.281187    -0.281192    -0.281194   
>  -0.281188    -0.281189
> 12*12*12    -0.286894    -0.282737    -0.282365    -0.282370    -0.282372   
>  -0.282366    -0.282367
> 14*14*14    -0.287963    -0.284151    -0.283791    -0.283791    -0.283794   
>  -0.283789    -0.283789
> 
> 
> plain text document attachment (Al_LDA_fcc.in)
> # Al element test
> # Convergence with respect to the number of k points and e_cut.
> 
> #datasets
> ndtset 49 udtset 7 7 
> 
> #Definition of the k-point grids
> kptopt 1          # Option for the automatic generation of k points, taking
>                   # into account the symmetry
> ngkpt?1 2 2 2
> ngkpt?2 4 4 4
> ngkpt?3 6 6 6
> ngkpt?4 8 8 8
> ngkpt?5 10 10 10
> ngkpt?6 12 12 12
> ngkpt?7 14 14 14
> 
> 
> #Definition of the planewave basis set
> ecut1? 10.0         # Maximal kinetic energy cut-off, in Hartree
> ecut2? 15.0
> ecut3? 20.0
> ecut4? 25.0
> ecut5? 30.0
> ecut6? 35.0
> ecut7? 40.0
> 
> pawecutdg 50
> 
> getwfk 0         # restarting from previous wavefunctions
> 
> #Definition of the unit cell
> acell 4.05 4.05 4.05 angstrom
> angdeg 90.0 90.0 90.0
> chkprim 0
> 
> #Definition of the atom types
> ntypat 1
> znucl 13
> 
> nband 40
> 
> 
> #Definition of the atoms
> natom 4
> typat 1 1
> xred
> 0.0 0.0 0.0
> 0.5 0.5 0.0
> 0.5 0.0 0.5
> 0.0 0.5 0.5
> 
> #Definition of the SCF procedure
> nstep 100          # Maximal number of SCF cycles
> toldfe 1.0d-8     # Convergence Criterion (Hartree)
> #diemac  #does not need to be set, default is metallic
> 
> #DOS
> #prtdos 2 #smearing=1, tetrahedron=2
> 
> #magnetism
> nsppol 1
> 
> plain text document attachment (Al_LDA_rhomb.in)
> # Al element test
> # Convergence with respect to the number of k points and e_cut.
> 
> #datasets
> ndtset 49 udtset 7 7 
> 
> #Definition of the k-point grids
> kptopt 1          # Option for the automatic generation of k points, taking
>                   # into account the symmetry
> ngkpt?1 2 2 2
> ngkpt?2 4 4 4
> ngkpt?3 6 6 6
> ngkpt?4 8 8 8
> ngkpt?5 10 10 10
> ngkpt?6 12 12 12
> ngkpt?7 14 14 14
> 
> #Definition of the planewave basis set
> ecut1? 10.0         # Maximal kinetic energy cut-off, in Hartree
> ecut2? 15.0
> ecut3? 20.0
> ecut4? 25.0
> ecut5? 30.0
> ecut6? 35.0
> ecut7? 40.0
> 
> pawecutdg 50
> 
> getwfk 0         # restarting from previous wavefunctions
> 
> #Definition of the unit cell
> acell 2.8637825 2.8637825 2.8637825 angstrom
> angdeg 60.0 60.0 60.0
> #chkprim 0
> 
> #Definition of the atom types
> ntypat 1
> znucl 13
> nband 10
> 
> #Definition of the atoms
> natom 1
> typat 1
> xred
> 0.0 0.0 0.0
> 
> #Definition of the SCF procedure
> nstep 100          # Maximal number of SCF cycles
> toldfe 1.0d-8     # Convergence Criterion (Hartree)
> #diemac  #does not need to be set, default is metallic
> 
> #DOS
> #prtdos 2 #smearing=1, tetrahedron=2
> 
> #magnetism
> nsppol 1
> 
-- 
Josef W. Zwanziger
Prof. of Chemistry and 
 Canada Research Chair in NMR Studies of Materials
Director, Atlantic Region Magnetic Resonance Centre
Dept. of Chemistry
Dalhousie University
Halifax, NS B3H 4J3 Canada
Tel: +1 (902) 494-1960
Fax: +1 (902) 494-1867
Net: jzwanzig@dal.ca
Web: http://jwz.chem.dal.ca
Aluminium - PAW data extracted from US-psp (D.Vanderbilt) - generated by 
USpp2Abinit v2.1.2
  13.000   3.000 20070330               : zatom,zion,pspdat
  7  2  1 0   630 0.                    : pspcod,pspxc,lmax,lloc,mmax,r2well
 paw3 2212                              : pspfmt,creatorID
  4  8                                  : basis_size,lmn_size
 0 0 1 1                                : orbitals
 4                                      : number_of_meshes
 1 2  630 7.0144766581E-05 1.6666666667E-02 : mesh 1, 
type,size,rad_step[,log_step]
 2 2  626 7.0144766581E-05 1.6666666667E-02 : mesh 2, 
type,size,rad_step[,log_step]
 3 2  668 7.0144766581E-05 1.6666666667E-02 : mesh 3, 
type,size,rad_step[,log_step]
 4 2  713 7.0144766581E-05 1.6666666667E-02 : mesh 4, 
type,size,rad_step[,log_step]
  2.3048606281                          : r_cut(PAW)
 3 0.                                   : shape_type,rshape
===== PHI 1 ===== #phi(r), for phi(r)/r*Ylm)
 1  : radial mesh index
  0.0000000000000000E+00  7.5367270561389829E-06  1.5200062713551429E-05
  2.2992074217974207E-05  3.0914858496103039E-05  3.8970542328600249E-05
  4.7161327162973272E-05  5.5489421518917674E-05  6.3957063347535358E-05
  7.2566535028736494E-05  8.1320155845421082E-05  9.0220281783854592E-05
  9.9269307976581562E-05  1.0846966886485094E-04  1.1782383893719922E-04
  1.2733433347482588E-04  1.3700370928135984E-04  1.4683456543519190E-04
  1.5682954405364576E-04  1.6699133106997288E-04  1.7732265702332953E-04
  1.8782629786163663E-04  1.9850507575729442E-04  2.0936185993570994E-04
  2.2039956751658936E-04  2.3162116436794471E-04  2.4302966597276231E-04
  2.5462813830828037E-04  2.6641969873782124E-04  2.7840751691512869E-04
  2.9059481570115910E-04  3.0298487209328491E-04  3.1558101816686938E-04
  3.2838664202918357E-04  3.4140518878564009E-04  3.5464016151833243E-04
  3.6809512227687805E-04  3.8177369308157539E-04  3.9567955693890029E-04
  4.0981645886938186E-04  4.2418820694791484E-04  4.3879867335658160E-04
  4.5365179545007718E-04  4.6875157683384978E-04  4.8410208845508596E-04
  4.9970746970669753E-04  5.1557192954448147E-04  5.3169974761765079E-04
  5.4809527541295315E-04  5.6476293741261857E-04  5.8170723226639925E-04
  5.9893273397798412E-04  6.1644409310609820E-04  6.3424603798061061E-04
  6.5234337593400181E-04  6.7074099454855817E-04  6.8944386291968122E-04
  7.0845703293571731E-04  7.2778564057473074E-04  7.4743490721865735E-04
  7.6741014098529511E-04  7.8771673807859536E-04  8.0836018415773316E-04
  8.2934605572544781E-04  8.5068002153614714E-04  8.7236784402428197E-04
  8.9441538075350476E-04  9.1682858588711580E-04  9.3961351168032816E-04
  9.6277630999485621E-04  9.8632323383635230E-04  1.0102606389152051E-03
  1.0345949852312080E-03  1.0593328386826124E-03  1.0844808727000553E-03
  1.1100458699058681E-03  1.1360347237992432E-03  1.1624544404677409E-03
  1.1893121403256008E-03  1.2166150598793156E-03  1.2443705535209162E-03
  1.2725860953493964E-03  1.3012692810207055E-03  1.3304278296267160E-03
  1.3600695856035663E-03  1.3902025206697626E-03  1.4208347357944173E-03
  1.4519744631959831E-03  1.4836300683718352E-03  1.5158100521590395E-03
  1.5485230528266369E-03  1.5817778481997612E-03  1.6155833578158981E-03
  1.6499486451135865E-03  1.6848829196538561E-03  1.7203955393746697E-03
  1.7564960128786699E-03  1.7931940017544767E-03  1.8304993229318134E-03
  1.8684219510707127E-03  1.9069720209850605E-03  1.9461598301007198E-03
  1.9859958409484939E-03  2.0264906836921573E-03  2.0676551586918030E-03
  2.1095002391027439E-03  2.1520370735102060E-03  2.1952769886000372E-03
  2.2392314918656866E-03  2.2839122743516628E-03  2.3293312134337147E-03
  2.3755003756359672E-03  2.4224320194852216E-03  2.4701385984026675E-03
  2.5186327636332133E-03  2.5679273672126611E-03  2.6180354649729476E-03
  2.6689703195856528E-03  2.7207454036440011E-03  2.7733744027835447E-03
  2.8268712188417372E-03  2.8812499730565830E-03  2.9365250093045547E-03
  2.9927108973779501E-03  3.0498224363018529E-03  3.1078746576908632E-03
  3.1668828291457336E-03  3.2268624576900621E-03  3.2878292932471405E-03
  3.3497993321570793E-03  3.4127888207343051E-03  3.4768142588654915E-03
  3.5418924036479979E-03  3.6080402730688348E-03  3.6752751497242026E-03
  3.7436145845795806E-03  3.8130764007703473E-03  3.8836786974428984E-03
  3.9554398536361685E-03  4.0283785322034896E-03  4.1025136837746362E-03
  4.1778645507579131E-03  4.2544506713821095E-03  4.3322918837781022E-03
  4.4114083300998627E-03  4.4918204606845908E-03  4.5735490382516498E-03
  4.6566151421399702E-03  4.7410401725835136E-03  4.8268458550243740E-03
  4.9140542444630472E-03  5.0026877298453461E-03  5.0927690384854011E-03
  5.1843212405241357E-03  5.2773677534225733E-03  5.3719323464892343E-03
  5.4680391454406023E-03  5.5657126369944446E-03  5.6649776734970687E-03
  5.7658594775745389E-03  5.8683836468217026E-03  5.9725761585143851E-03
  6.0784633743516548E-03  6.1860720452235323E-03  6.2954293160039339E-03
  6.4065627303673111E-03  6.5195002356275428E-03  6.6342701875976269E-03
  6.7509013554685219E-03  6.8694229267054945E-03  6.9898645119601853E-03
  7.1122561499965438E-03  7.2366283126286427E-03  7.3630119096683338E-03
  7.4914382938805566E-03  7.6219392659440353E-03  7.7545470794149604E-03
  7.8892944456911522E-03  8.0262145389740740E-03  8.1653410012259495E-03
  8.3067079471190724E-03  8.4503499689743307E-03  8.5963021416857327E-03
  8.7446000276276917E-03  8.8952796815415514E-03  9.0483776553978035E-03
  9.2039310032301907E-03  9.3619772859377774E-03  9.5225545760508797E-03
  9.6857014624565901E-03  9.8514570550793986E-03  1.0019860989512292E-02
  1.0190953431593475E-02  1.0364775081923655E-02  1.0541367180318622E-02
  1.0720771510191698E-02  1.0903030402860286E-02  1.1088186741770659E-02
  1.1276283966634812E-02  1.1467366077472917E-02  1.1661477638554792E-02
  1.1858663782233428E-02  1.2058970212663351E-02  1.2262443209396437E-02
  1.2469129630847319E-02  1.2679076917620425E-02  1.2892333095690213E-02
  1.3108946779426015E-02  1.3328967174452417E-02  1.3552444080335900E-02
  1.3779427893088036E-02  1.4009969607475251E-02  1.4244120819124710E-02
  1.4481933726415614E-02  1.4723461132144709E-02  1.4968756444954471E-02
  1.5217873680511996E-02  1.5470867462426253E-02  1.5727793022890766E-02
  1.5988706203038595E-02  1.6253663452995788E-02  1.6522721831619163E-02
  1.6795939005903655E-02  1.7073373250044176E-02  1.7355083444136110E-02
  1.7641129072498381E-02  1.7931570221602210E-02  1.8226467577588300E-02
  1.8525882423354453E-02  1.8829876635195322E-02  1.9138512678974977E-02
  1.9451853605812742E-02  1.9769963047261887E-02  2.0092905209960238E-02
  2.0420744869730965E-02  2.0753547365111313E-02  2.1091378590286102E-02
  2.1434304987402390E-02  2.1782393538240647E-02  2.2135711755217346E-02
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  5.6431946816062305E-02  5.7247997847747915E-02  5.8073381292803067E-02
  5.8908120026116936E-02  5.9752233423244115E-02  6.0605737200401646E-02
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  6.4113832995826542E-02  6.5014384535737935E-02  6.5924334339708568E-02
  6.6843667620362618E-02  6.7772364473561941E-02  6.8710399672798073E-02
  6.9657742458154301E-02  7.0614356319693511E-02  7.1580198775278631E-02
  7.2555221142677900E-02  7.3539368305978306E-02  7.4532578476155936E-02
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  7.8594565986960060E-02  7.9631913298209886E-02  8.0677798597319605E-02
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  4.5421926713955282E-03  1.9579904694352172E-02  3.4844712474680982E-02
  5.0320499211506803E-02  6.5990622162314216E-02  8.1837934780449900E-02
  9.7844810631008292E-02  1.1399316902889002E-01  1.3026450246651930E-01
  1.4663990561833856E-01  1.6310010613316636E-01  1.7962549671354289E-01
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  2.4597701383960224E-01  2.6252493564211593E-01  2.7901532066152374E-01
  2.9542719823751923E-01  3.1173956868596292E-01  3.2793142508421397E-01
  3.4398179539387502E-01  3.5986978024441363E-01  3.7557458767862772E-01
  3.9107556937194743E-01  4.0635225264005698E-01  4.2138437405217188E-01
  4.3615190823288036E-01  4.5063509875928370E-01  4.6481448398837039E-01
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  5.1811657858254245E-01  5.3049720670010614E-01  5.4246493293004938E-01
  5.5400309632614919E-01  5.6509554340237977E-01  5.7572666160301189E-01
  5.8588140983424697E-01  5.9554535567038469E-01  6.0470470971242407E-01
  6.1334636613621207E-01  6.2145794021443712E-01  6.2902781103006578E-01
  6.3604516081788331E-01  6.4250001811623281E-01  6.4838329716871823E-01
  6.5368683952114537E-01  6.5840345157998581E-01  6.6252694265034295E-01
  6.6605215882114432E-01  6.6897501561495321E-01  6.7129252658656535E-01
  6.7300282904341180E-01  6.7410520603790280E-01  6.7460010395951031E-01
  6.7448914692387818E-01  6.7377514539483085E-01  6.7246210229500114E-01
  6.7055521216397951E-01  6.6806085861919018E-01  6.6498660388144870E-01
  6.6134117749226107E-01  6.5713445633239842E-01  6.5237744474826331E-01
  6.4708224544809911E-01  6.4126203140343374E-01  6.3493100822838555E-01
===== PHI 2 ===== #phi(r), for phi(r)/r*Ylm)
 1  : radial mesh index
  0.0000000000000000E+00  1.3722843382777172E-05  2.7676215215183644E-05
  4.1863879529850090E-05  5.6289654402343616E-05  7.0957412266176904E-05
  8.5871161508067979E-05  1.0103492339162181E-04  1.1645277276898636E-04
  1.3212886538810370E-04  1.4806742418970356E-04  1.6427273894382275E-04
  1.8074917069785745E-04  1.9750115207230372E-04  2.1453318860556556E-04
  2.3184986011113014E-04  2.4945582200632232E-04  2.6735580668214696E-04
  2.8555462489468747E-04  3.0405716717985329E-04  3.2286840529176507E-04
  3.4199339366459736E-04  3.6143727089782722E-04  3.8120526126481205E-04
  4.0130267624460884E-04  4.2173491607694493E-04  4.4250747134024323E-04
  4.6362592455260424E-04  4.8509595179564984E-04  5.0692332436113360E-04
  5.2911391042022966E-04  5.5167367671541941E-04  5.7460869027490624E-04
  5.9792512014949909E-04  6.2162923917192636E-04  6.4572742573855402E-04
  6.7022616561350490E-04  6.9513205375520059E-04  7.2045179616537006E-04
  7.4619221176060017E-04  7.7236023426652766E-04  7.9896291413481077E-04
  8.2600742048304760E-04  8.5350104305784494E-04  8.8145119422127860E-04
  9.0986541096102253E-04  9.3875135692446528E-04  9.6811682447717217E-04
  9.9796973678608768E-04  1.0283181499279172E-03  1.0591702550231668E-03
  1.0905343803963585E-03  1.1224189937629810E-03  1.1548327044437682E-03
  1.1877842656069454E-03  1.2212825765391090E-03  1.2553366849454486E-03
  1.2899557892800506E-03  1.3251492411070469E-03  1.3609265474934186E-03
  1.3972973734342673E-03  1.4342715443114125E-03  1.4718590483861829E-03
  1.5100700393272917E-03  1.5489148387746959E-03  1.5884039389403703E-03
  1.6285480052469134E-03  1.6693578790049255E-03  1.7108445801301039E-03
  1.7530193099009892E-03  1.7958934537583137E-03  1.8394785841468792E-03
  1.8837864634009102E-03  1.9288290466737878E-03  1.9746184849130932E-03
  2.0211671278818504E-03  2.0684875272268589E-03  2.1165924395949763E-03
  2.1654948297982180E-03  2.2152078740284879E-03  2.2657449631227626E-03
  2.3171197058795196E-03  2.3693459324271725E-03  2.4224376976452670E-03
  2.4764092846391640E-03  2.5312752082689038E-03  2.5870502187329406E-03
  2.6437493052074083E-03  2.7013876995415445E-03  2.7599808800099043E-03
  2.8195445751219559E-03  2.8800947674896341E-03  2.9416476977534153E-03
  3.0042198685674686E-03  3.0678280486443983E-03  3.1324892768600991E-03
  3.1982208664192279E-03  3.2650404090817796E-03  3.3329657794512499E-03
  3.4020151393248503E-03  3.4722069421062396E-03  3.5435599372812291E-03
  3.6160931749568965E-03  3.6898260104645778E-03  3.7647781090271383E-03
  3.8409694504909922E-03  3.9184203341232782E-03  3.9971513834746236E-03
  4.0771835513079306E-03  4.1585381245935887E-03  4.2412367295715575E-03
  4.3253013368807092E-03  4.4107542667558642E-03  4.4976181942929247E-03
  4.5859161547825043E-03  4.6756715491124709E-03  4.7669081492397744E-03
  4.8596501037319736E-03  4.9539219433788221E-03  5.0497485868742998E-03
  5.1471553465694455E-03  5.2461679342963264E-03  5.3468124672635172E-03
  5.4491154740233597E-03  5.5531039005113567E-03  5.6588051161579524E-03
  5.7662469200729797E-03  5.8754575473030151E-03  5.9864656751618664E-03
  6.0993004296343786E-03  6.2139913918537390E-03  6.3305686046523976E-03
  6.4490625791867309E-03  6.5695043016355112E-03  6.6919252399722058E-03
  6.8163573508111253E-03  6.9428330863273574E-03  7.0713854012504273E-03
  7.2020477599315175E-03  7.3348541434841040E-03  7.4698390569977683E-03
  7.6070375368249123E-03  7.7464851579400300E-03  7.8882180413711762E-03
  8.0322728617031533E-03  8.1786868546519145E-03  8.3274978247096509E-03
  8.4787441528598392E-03  8.6324648043616219E-03  8.7886993366026647E-03
  8.9474879070197012E-03  9.1088712810857616E-03  9.2728908403630801E-03
  9.4395885906205981E-03  9.6090071700148383E-03  9.7811898573328445E-03
  9.9561805802952999E-03  1.0134023923919433E-02  1.0314765138943702E-02
  1.0498450150296070E-02  1.0685125565631086E-02  1.0874838683909122E-02
  1.1067637504030345E-02  1.1263570733514956E-02  1.1462687797229353E-02
  1.1665038846155402E-02  1.1870674766200181E-02  1.2079647187043548E-02
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===== PHI 3 ===== #phi(r), for phi(r)/r*Ylm)
 1  : radial mesh index
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===== PHI 4 ===== #phi(r), for phi(r)/r*Ylm)
 1  : radial mesh index
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===== TPHI 1 ===== #tphi(r), for tphi(r)/r*Ylm)
 1  : radial mesh index
  0.0000000000000000E+00  5.6565176961386521E-07  1.1408100697511716E-06
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  2.8567227894239696E-04  2.9103903318753469E-04  2.9649598286527742E-04
  3.0204464382920741E-04  3.0768655740880845E-04  3.1342329083762065E-04
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  3.3735069894320527E-04  3.4358597765083966E-04  3.4992604849281938E-04
  3.5637267263933457E-04  3.6292764085932815E-04  3.6959277401794118E-04
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  3.9739245527246333E-04  4.0463681535448694E-04  4.1200292651422387E-04
  4.1949283493886229E-04  4.2710862120440339E-04  4.3485240085360498E-04
  4.4272632498364042E-04  4.5073258084363271E-04  4.5887339244223089E-04
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  4.9282799786727171E-04  5.0167627870348406E-04  5.1067326661295720E-04
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  6.0939322395204914E-04  6.2020053755630113E-04  6.3118948233693286E-04
  6.4236311084193433E-04  6.5372452692113742E-04  6.6527688658839560E-04
  6.7702339889825461E-04  6.8896732683735478E-04  7.0111198823081514E-04
  7.1346075666384699E-04  7.2601706241885971E-04  7.3878439342831058E-04
  7.5176629624357043E-04  7.6496637702006866E-04  7.7838830251899724E-04
  7.9203580112584531E-04  8.0591266388605083E-04  8.2002274555805909E-04
  8.3436996568407432E-04  8.4895830967880801E-04  8.6379182993652048E-04
  8.7887464695666953E-04  8.9421095048847416E-04  9.0980500069471053E-04
  9.2566112933506700E-04  9.4178374096938651E-04  9.5817731418112507E-04
  9.7484640282137253E-04  9.9179563727377971E-04  1.0090297257407371E-03
  1.0265534555511720E-03  1.0443716944903202E-03  1.0624893921518414E-03
  1.0809115813126605E-03  1.0996433793309078E-03  1.1186899895673495E-03
  1.1380567028307096E-03  1.1577488988472715E-03  1.1777720477551793E-03
  1.1981317116238450E-03  1.2188335459988933E-03  1.2398833014730585E-03
  1.2612868252834853E-03  1.2830500629358633E-03  1.3051790598558582E-03
  1.3276799630682853E-03  1.3505590229045061E-03  1.3738225947385022E-03
  1.3974771407521350E-03  1.4215292317300550E-03  1.4459855488847711E-03
  1.4708528857123925E-03  1.4961381498795421E-03  1.5218483651419801E-03
  1.5479906732954599E-03  1.5745723361593662E-03  1.6016007375936777E-03
  1.6290833855498209E-03  1.6570279141559746E-03  1.6854420858374165E-03
  1.7143337934724927E-03  1.7437110625848056E-03  1.7735820535722299E-03
  1.8039550639733881E-03  1.8348385307721893E-03  1.8662410327410922E-03
  1.8981712928237303E-03  1.9306381805575688E-03  1.9636507145372548E-03
  1.9972180649193527E-03  2.0313495559691548E-03  2.0660546686502739E-03
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  3.1513846498907633E-03  3.2049132509954633E-03  3.2593414579359364E-03
  3.3146843890894430E-03  3.3709574168819287E-03  3.4281761720558268E-03
  3.4863565480094789E-03  3.5455147052093727E-03  3.6056670756764659E-03
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  4.0560110998711894E-03  4.1247428570546510E-03  4.1946297141697061E-03
  4.2656910827324852E-03  4.3379467004197071E-03  4.4114166365463569E-03
  4.4861212976352134E-03  4.5620814330797760E-03  4.6393181409021527E-03
  4.7178528736074674E-03  4.7977074441364290E-03  4.8789040319176724E-03
  4.9614651890215631E-03  5.0454138464171234E-03  5.1307733203338375E-03
  5.2175673187300426E-03  5.3058199478697096E-03  5.3955557190094126E-03
  5.4867995551973131E-03  5.5795767981860252E-03  5.6739132154612591E-03
  5.7698350073881900E-03  5.8673688144774338E-03  5.9665417247727294E-03
  6.0673812813622626E-03  6.1699154900156997E-03  6.2741728269490420E-03
  6.3801822467194260E-03  6.4879731902519611E-03  6.5975755930008824E-03
  6.7090198932471734E-03  6.8223370405349629E-03  6.9375585042489455E-03
  7.0547162823352168E-03  7.1738429101678471E-03  7.2949714695636240E-03
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  7.8001863021752993E-03  7.9318405223522959E-03  8.0657071644088061E-03
  8.2018234006426514E-03  8.3402270275480181E-03  8.4809564762785058E-03
  8.6240508232846673E-03  8.7695498011288002E-03  8.9174938094799643E-03
  9.0679239262921613E-03  9.2208819191686303E-03  9.3764102569153709E-03
  9.5345521212869301E-03  9.6953514189275416E-03  9.8588527935109718E-03
  1.0025101638082073E-02  1.0194144107603496E-02  1.0366027131710823E-02
  1.0540798427679477E-02  1.0718506513606913E-02  1.0899200721813471E-02
  1.1082931212465518E-02  1.1269748987424368E-02  1.1459705904324694E-02
  1.1652854690886096E-02  1.1849248959461512E-02  1.2048943221826343E-02
  1.2251992904212148E-02  1.2458454362588620E-02  1.2668384898198191E-02
  1.2881842773346835E-02  1.3098887227455449E-02  1.3319578493375792E-02
  1.3543977813975244E-02  1.3772147458994567E-02  1.4004150742182949E-02
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  1.5741061370127374E-02  1.6006144216427924E-02  1.6275680475278519E-02
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  1.7399873751833331E-02  1.7692823836277058E-02  1.7990695098743070E-02
  1.8293570131312310E-02  1.8601532908239529E-02  1.8914668808879775E-02
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  2.0220701729321913E-02  2.0561034769264831E-02  2.0907084047317136E-02
  2.1258945452225748E-02  2.1616716475021867E-02  2.1980496235474170E-02
  2.2350385508962043E-02  2.2726486753774835E-02  2.3108904138842867E-02
  2.3497743571906027E-02  2.3893112728125956E-02  2.4295121079147639E-02
  2.4703879922616346E-02  2.5119502412155874E-02  2.5542103587814179E-02
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  3.0178664043671290E-02  3.0686194854073159E-02  3.1202243718287316E-02
  3.1726953193858508E-02  3.2260468203378703E-02  3.2802936072648350E-02
  3.3354506569397258E-02  3.3915331942569994E-02  3.4485566962180962E-02
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  6.0765795949011187E-02  6.1785746468636438E-02  6.2822742659420769E-02
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  8.6166841328292512E-02  8.7610199887276738E-02  8.9077539663408464E-02
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  1.0005378072072195E-01  1.0172745724164389E-01  1.0342882643503397E-01
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  3.3916142994101262E-01  3.4445888543520975E-01  3.4982309760149988E-01
  3.5525391773444009E-01  3.6075111962498679E-01  3.6631439371903352E-01
  3.7194334090500369E-01  3.7763746590930986E-01  3.8339617027756462E-01
  3.8921874491857533E-01  3.9510436218726347E-01  4.0105206748186623E-01
  4.0706077032997706E-01  4.1312923493733988E-01  4.1925607017267402E-01
  4.2543971896139687E-01  4.3167844706074909E-01  4.3797033118876200E-01
  4.4431324647957809E-01  4.5070485323807119E-01  4.5714258296742621E-01
  4.6362362364447918E-01  4.7014490421925104E-01  4.7670307831725894E-01
  4.8329450712606009E-01  4.8991524145106308E-01  4.9656100293019884E-01
  5.0322716440257453E-01  5.0990872943306809E-01  5.1660031100299753E-01
  5.2329610938689153E-01  5.2998988924708734E-01  5.3667495599186810E-01
  5.4334413145923277E-01  5.4998972900777565E-01  5.5660352811876246E-01
  5.6317674863993517E-01  5.6970002483240489E-01  5.7616337941772000E-01
  5.8255619786371304E-01  5.8886720319565811E-01  5.9508443167469571E-01
  6.0119520974928542E-01  6.0718613275897815E-01  6.1304304595421288E-01
  6.1875102849283625E-01  6.2429438118515590E-01  6.2965661888667701E-01
  6.3482046858328212E-01  6.3976787438011828E-01  6.4448001079555117E-01
  6.4893730597848842E-01  6.5311947671474913E-01  6.5700557736996390E-01
  6.6057406523743400E-01  6.6380288512452434E-01  6.6666957642648494E-01
  6.6915140640860216E-01  6.7122553395385720E-01  6.7286920864213406E-01
  6.7406001071809396E-01  6.7477613828880334E-01  6.7499674898120099E-01
  6.7470236429721442E-01  6.7387534604618782E-01  6.7250045552768112E-01
  6.7056550760225342E-01  6.6806213344567933E-01  6.6498666765811820E-01
  6.6134117749226107E-01  6.5713445633239842E-01  6.5237744474826331E-01
  6.4708224544809911E-01  6.4126203140343374E-01  6.3493100822838555E-01
===== TPHI 2 ===== #tphi(r), for tphi(r)/r*Ylm)
 1  : radial mesh index
  0.0000000000000000E+00  1.3331077303810004E-06  2.6886201097172497E-06
  4.0669136779390795E-06  5.4683713032311170E-06  6.8933822883870153E-06
  8.3423424789515762E-06  9.8156543731804014E-06  1.1313727233847513E-05
  1.2836977201932080E-05  1.4385827412215818E-05  1.5960708110823036E-05
  1.7562056774736326E-05  1.9190318233320637E-05  2.0845944791889859E-05
  2.2529396357350052E-05  2.4241140565954351E-05  2.5981652913204802E-05
  2.7751416885937574E-05  2.9550924096627870E-05  3.1380674419952096E-05
  3.3241176131645133E-05  3.5132946049691245E-05  3.7056509677887886E-05
  3.9012401351822415E-05  4.1001164387301903E-05  4.3023351231277736E-05
  4.5079523615306563E-05  4.7170252711590400E-05  4.9296119291639233E-05
  5.1457713887600034E-05  5.3655636956297230E-05  5.5890499046030122E-05
  5.8162920966173437E-05  6.0473533959628251E-05  6.2822979878171309E-05
  6.5211911360751185E-05  6.7640992014780959E-05  7.0110896600477867E-05
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  1.0464011498361516E+00  1.0414696537824599E+00  1.0354397811674858E+00
  1.0282557358224058E+00  1.0198604764690262E+00  1.0101958601259455E+00
  9.9920281700578872E-01  9.8682156133809207E-01  9.7299184311371467E-01
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  8.3063311931937278E-01  8.0311746363610503E-01  7.7366061526089891E-01
  7.4222563119622675E-01  7.0878282054781094E-01  6.7331120623989071E-01
  6.3580019014941347E-01  5.9625144738487246E-01  5.5468107859445093E-01
  5.1112205268271160E-01  4.6562665273982123E-01  4.1825643581247191E-01
  3.6908088051971494E-01  3.1817749454435951E-01  2.6563201130831338E-01
===== TPHI 3 ===== #tphi(r), for tphi(r)/r*Ylm)
 1  : radial mesh index
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  4.1955514675057498E-01  4.2721157115287012E-01  4.3478966605024222E-01
  4.4227416044546924E-01  4.4964931994683277E-01  4.5689900361418384E-01
  4.6400673092567712E-01  4.7095575953178570E-01  4.7772917440048501E-01
  4.8430998886358517E-01  4.9068125794218703E-01  4.9682620415038642E-01
  5.0272835574089170E-01  5.0837169705203311E-01  5.1374083022898953E-01
  5.1882114710627392E-01  5.2359900943448101E-01  5.2806193488917741E-01
  5.3219878538716070E-01  5.3599995312403881E-01  5.3945753840086297E-01
  5.4256551169717204E-01  5.4531993892530506E-01  5.4771696712971563E-01
  5.4975323443924129E-01  5.5142591141269903E-01  5.5273270901684435E-01
===== TPHI 4 ===== #tphi(r), for tphi(r)/r*Ylm)
 1  : radial mesh index
  0.0000000000000000E+00  9.2852668419027709E-13  3.7767895065724373E-12
  8.6415929237231964E-12  1.5623555935490121E-11  2.4827250342944014E-11
  3.6361343843244690E-11  5.0338748127900319E-11  6.6876772156584518E-11
  8.6097280784555581E-11  1.0812685892780043E-10  1.3309698145630927E-10
  1.6114418901239321E-10  1.9241026995766720E-10  2.2704244865927881E-10
  2.6519358033314406E-10  3.0702235266938408E-10  3.5269349447283067E-10
  4.0237799155942984E-10  4.5625331015756272E-10  5.1450362807181715E-10
  5.7732007387551150E-10  6.4490097440736026E-10  7.1745211085705169E-10
  7.9518698373422789E-10  8.7832708702538207E-10  9.6710219185357748E-10
  1.0617506399666195E-09  1.1625196473904070E-09  1.2696656185956781E-09
  1.3834544715381931E-09  1.5041619739447176E-09  1.6320740912298041E-09
  1.7674873464415052E-09  1.9107091926477239E-09  2.0620583981889022E-09
  2.2218654452372592E-09  2.3904729421177947E-09  2.5682360498617366E-09
  2.7555229234791860E-09  2.9527151684542165E-09  3.1602083129829116E-09
  3.3784122964924279E-09  3.6077519749975853E-09  3.8486676438703743E-09
  4.1016155786173497E-09  4.3670685942801444E-09  4.6455166240953052E-09
  4.9374673180711790E-09  5.2434466621621179E-09  5.5639996187433122E-09
  5.8996907891134815E-09  6.2511050987774498E-09  6.6188485062861691E-09
  7.0035487364382402E-09  7.4058560386742214E-09  7.8264439715235143E-09
  8.2660102139925237E-09  8.7252774048133535E-09  9.2049940105032781E-09
  9.7059352232177672E-09  1.0228903889413011E-08  1.0774731470368729E-08
  1.1344279035657470E-08  1.1938438290683716E-08  1.2558132639454336E-08
  1.3204318283781178E-08  1.3877985360157635E-08  1.4580159115593162E-08
  1.5311901123733319E-08  1.6074310542638044E-08  1.6868525415637437E-08
  1.7695724016732977E-08  1.8557126242061194E-08  1.9453995048989158E-08
  2.0387637944463945E-08  2.1359408524293748E-08  2.2370708065094844E-08
  2.3422987170697994E-08  2.4517747474868429E-08  2.5656543402256932E-08
  2.6840983989564296E-08  2.8072734768968833E-08  2.9353519715936710E-08
  3.0685123263606053E-08  3.2069392386010973E-08  3.3508238752488044E-08
  3.5003640955687897E-08  3.6557646815696151E-08  3.8172375762853585E-08
  3.9850021301953177E-08  4.1592853560582449E-08  4.3403221924473718E-08
  4.5283557762822041E-08  4.7236377246630853E-08  4.9264284263250119E-08
  5.1369973430377643E-08  5.3556233212907050E-08  5.5825949146119490E-08
  5.8182107168835533E-08  6.0627797070266091E-08  6.3166216054428604E-08
  6.5800672426125503E-08  6.8534589402617844E-08  7.1371509055267581E-08
  7.4315096385565948E-08  7.7369143540117625E-08  8.0537574169302384E-08
  8.3824447934498817E-08  8.7233965168919020E-08  9.0770471697275629E-08
  9.4438463819678124E-08  9.8242593465340718E-08  1.0218767352187119E-07
  1.0627868334610823E-07  1.1052077446267547E-07  1.1491927645663010E-07
  1.1947970306680225E-07  1.2420775848664175E-07  1.2910934387962351E-07
  1.3419056411649961E-07  1.3945773474193600E-07  1.4491738917832398E-07
  1.5057628617482463E-07  1.5644141750997550E-07  1.6252001595647260E-07
  1.6881956351703082E-07  1.7534779994053289E-07  1.8211273152798318E-07
  1.8912264023810992E-07  1.9638609310279223E-07  2.0391195196283314E-07
  2.1170938353495712E-07  2.1978786982127879E-07  2.2815721887287470E-07
  2.3682757591947785E-07  2.4580943487772896E-07  2.5511365025083734E-07
  2.6475144943294088E-07  2.7473444543190348E-07  2.8507465002475886E-07
  2.9578448736048557E-07  3.0687680802530370E-07  3.1836490358619047E-07
  3.3026252162885069E-07  3.4258388130692783E-07  3.5534368941980789E-07
  3.6855715703695994E-07  3.8224001668736196E-07  3.9640854013320057E-07
  4.1107955674766362E-07  4.2627047251733854E-07  4.4199928969041293E-07
  4.5828462709259526E-07  4.7514574113341650E-07  4.9260254752634509E-07
  5.1067564374693588E-07  5.2938633225406694E-07  5.4875664450015040E-07
  5.6880936575709970E-07  5.8956806078573000E-07  6.1105710037721499E-07
  6.3330168879619363E-07  6.5632789215611424E-07  6.8016266775846100E-07
  7.0483389442855509E-07  7.3037040388175582E-07  7.5680201315501327E-07
  7.8415955813992962E-07  8.1247492825469185E-07  8.4178110229352411E-07
  8.7211218549360022E-07  9.0350344786073902E-07  9.3599136379655987E-07
  9.6961365307128193E-07  1.0044093231878005E-06  1.0404187131842399E-06
  1.0776835389237931E-06  1.1162469399222837E-06  1.1561535277656427E-06
  1.1974494361712027E-06  1.2401823727485929E-06  1.2844016725178826E-06
  1.3301583532445786E-06  1.3775051726531069E-06  1.4264966875825016E-06
  1.4771893151501676E-06  1.5296413959918566E-06  1.5839132596482370E-06
  1.6400672921709138E-06  1.6981680060231372E-06  1.7582821123530640E-06
  1.8204785957200112E-06  1.8848287913569190E-06  1.9514064650550488E-06
  2.0202878957598175E-06  2.0915519609697585E-06  2.1652802250336458E-06
  2.2415570304440931E-06  2.3204695922292358E-06  2.4021080955475709E-06
  2.4865657965945791E-06  2.5739391269334641E-06  2.6643278013660855E-06
  2.7578349294641868E-06  2.8545671308850229E-06  2.9546346545997118E-06
  3.0581515021670322E-06  3.1652355551898138E-06  3.2760087070957575E-06
  3.3905969993893667E-06  3.5091307625265445E-06  3.6317447615686449E-06
  3.7585783467780577E-06  3.8897756093228249E-06  4.0254855422636086E-06
  4.1658622070020439E-06  4.3110649053757465E-06  4.4612583575913294E-06
  4.6166128861934771E-06  4.7773046062746826E-06  4.9435156221372510E-06
  5.1154342306263445E-06  5.2932551313602691E-06  5.4771796440917931E-06
  5.6674159334423810E-06  5.8641792412592006E-06  6.0676921268533992E-06
  6.2781847153868823E-06  6.4958949546837776E-06  6.7210688807522844E-06
  6.9539608923121374E-06  7.1948340346330959E-06  7.4439602929999806E-06
  7.7016208961307485E-06  7.9681066298849116E-06  8.2437181616112296E-06
  8.5287663754953306E-06  8.8235727192801006E-06  9.1284695627444355E-06
  9.4438005683389949E-06  9.7699210743908890E-06  1.0107198491303585E-05
  1.0456012711192379E-05  1.0816756531410926E-05  1.1189836092439769E-05
  1.1575671330623484E-05  1.1974696446259989E-05  1.2387360387562261E-05
  1.2814127351030484E-05  1.3255477298790783E-05  1.3711906493475908E-05
  1.4183928051241968E-05  1.4672072513536328E-05  1.5176888438252014E-05
  1.5698943010925621E-05  1.6238822676658305E-05  1.6797133793461822E-05
  1.7374503307756054E-05  1.7971579452768606E-05  1.8589032470612649E-05
  1.9227555358845365E-05  1.9887864642336798E-05  2.0570701171306659E-05
  2.1276830946416002E-05  2.2007045971830331E-05  2.2762165137202486E-05
  2.3543035129554635E-05  2.4350531376073011E-05  2.5185559018862617E-05
  2.6049053922744939E-05  2.6941983717218149E-05  2.7865348873737376E-05
  2.8820183819511826E-05  2.9807558089055774E-05  3.0828577514772709E-05
  3.1884385457894940E-05  3.2976164081145959E-05  3.4105135664538922E-05
  3.5272563965772557E-05  3.6479755626735208E-05  3.7728061627679443E-05
  3.9018878790681078E-05  4.0353651334052866E-05  4.1733872479438402E-05
  4.3161086113370519E-05  4.4636888505139204E-05  4.6162930082875723E-05
  4.7740917269825119E-05  4.9372614382844886E-05  5.1059845595237454E-05
  5.2804496966095274E-05  5.4608518538410218E-05  5.6473926508276349E-05
  5.8402805467592819E-05  6.0397310722755696E-05  6.2459670691911886E-05
  6.4592189383434100E-05  6.6797248958367055E-05  6.9077312379687577E-05
  7.1434926151317131E-05  7.3872723149925019E-05  7.6393425552662497E-05
  7.8999847864075749E-05  8.1694900045552500E-05  8.4481590750774409E-05
  8.7363030670760348E-05  9.0342435992210430E-05  9.3423131972983597E-05
  9.6608556638672039E-05  9.9902264604368710E-05  1.0330793102586506E-04
  1.0682935568465416E-04  1.1047046721126744E-04  1.1423532745162246E-04
  1.1812813598121901E-04  1.2215323477218217E-04  1.2631511301832140E-04
  1.3061841212354773E-04  1.3506793085917238E-04  1.3966863069579433E-04
  1.4442564131567990E-04  1.4934426631173282E-04  1.5442998907936166E-04
  1.5968847890776233E-04  1.6512559727735178E-04  1.7074740437032098E-04
  1.7656016580150209E-04  1.8257035957699265E-04  1.8878468328822879E-04
  1.9521006154945734E-04  2.0185365368682317E-04  2.0872286168756830E-04
  2.1582533841811883E-04  2.2316899612013694E-04  2.3076201519391530E-04
  2.3861285327880864E-04  2.4673025464072112E-04  2.5512325987700761E-04
  2.6380121594948868E-04  2.7277378655664254E-04  2.8205096285640967E-04
  2.9164307455142142E-04  3.0156080134886669E-04  3.1181518480761703E-04
  3.2241764058565437E-04  3.3337997110127732E-04  3.4471437862201978E-04
  3.5643347879567457E-04  3.6855031463829988E-04  3.8107837099458268E-04
  3.9403158948644120E-04  4.0742438396628784E-04  4.2127165649191229E-04
  4.3558881384051385E-04  4.5039178457999257E-04  4.6569703671622267E-04
  4.8152159593563195E-04  4.9788306446307677E-04  5.1479964055565109E-04
  5.3229013865375985E-04  5.5037401021148851E-04  5.6907136522903797E-04
  5.8840299451074125E-04  6.0839039267295773E-04  6.2905578192695038E-04
  6.5042213666266773E-04  6.7251320886022048E-04  6.9535355435671571E-04
  7.1896855999703275E-04  7.4338447169804654E-04  7.6862842345680699E-04
  7.9472846733414314E-04  8.2171360444622166E-04  8.4961381699765013E-04
  8.7846010139080088E-04  9.0828450244718291E-04  9.3912014877783933E-04
  9.7100128934096458E-04  1.0039633312261800E-03  1.0380428787061765E-03
  1.0732777735977539E-03  1.1097071369756742E-03  1.1473714122840993E-03
  1.1863124098918838E-03  1.2265733531394369E-03  1.2681989259264459E-03
  1.3112353218912888E-03  1.3557302952346331E-03  1.4017332132413682E-03
  1.4492951105567668E-03  1.4984687452745248E-03  1.5493086568961921E-03
  1.6018712262233516E-03  1.6562147372458846E-03  1.7123994410916236E-03
  1.7704876221047603E-03  1.8305436661224886E-03  1.8926341310215266E-03
  1.9568278196083980E-03  2.0231958549296494E-03  2.0918117580805105E-03
  2.1627515285929980E-03  2.2360937274868409E-03  2.3119195630692583E-03
  2.3903129795721958E-03  2.4713607487183097E-03  2.5551525643097779E-03
  2.6417811399368279E-03  2.7313423099057615E-03  2.8239351334892718E-03
  2.9196620026048434E-03  3.0186287530301848E-03  3.1209447792678166E-03
  3.2267231531742267E-03  3.3360807464723019E-03  3.4491383572692086E-03
  3.5660208407054090E-03  3.6868572438639425E-03  3.8117809450728670E-03
  3.9409297977374500E-03  4.0744462788423717E-03  4.2124776422682083E-03
  4.3551760770702604E-03  4.5026988708718541E-03  4.6552085785282488E-03
  4.8128731962214372E-03  4.9758663411502702E-03  5.1443674369845635E-03
  5.3185619052561689E-03  5.4986413628642528E-03  5.6848038258764163E-03
  5.8772539198118281E-03  6.0762030965966548E-03  6.2818698583869065E-03
  6.4944799884580689E-03  6.7142667893653786E-03  6.9414713285832017E-03
  7.1763426918362641E-03  7.4191382443401163E-03  7.6701239001724444E-03
  7.9295744000012647E-03  8.1977735974003568E-03  8.4750147539863919E-03
  8.7616008436163986E-03  9.0578448658881223E-03  9.3640701691896557E-03
  9.6806107835485360E-03  1.0007811763533646E-02  1.0346029541466866E-02
  1.0695632291204172E-02  1.1057000302748742E-02  1.1430526367960873E-02
  1.1816616177631778E-02  1.2215688730189668E-02  1.2628176752308049E-02
  1.3054527131686656E-02  1.3495201362275638E-02  1.3950676002213331E-02
  1.4421443144746669E-02  1.4908010902401594E-02  1.5410903904668163E-02
  1.5930663809461874E-02  1.6467849828617608E-02  1.7023039267668044E-02
  1.7596828080151193E-02  1.8189831436684085E-02  1.8802684309030721E-02
  1.9436042069381456E-02  2.0090581105049164E-02  2.0766999448773523E-02
  2.1466017424809303E-02  2.2188378310956391E-02  2.2934849016670204E-02
  2.3706220777368326E-02  2.4503309865024955E-02  2.5326958315117224E-02
  2.6178034669957589E-02  2.7057434738412382E-02  2.7966082371970461E-02
  2.8904930257085567E-02  2.9874960723671046E-02  3.0877186569578313E-02
  3.1912651900835413E-02  3.2982432987367381E-02  3.4087639133854326E-02
  3.5229413565315004E-02  3.6408934326932478E-02  3.7627415197551688E-02
  3.8886106616198741E-02  4.0186296620868610E-02  4.1529311798734078E-02
  4.2916518246809095E-02  4.4349322541988645E-02  4.5829172719249522E-02
  4.7357559256666050E-02  4.8936016065735041E-02  5.0566121485353901E-02
  5.2249499277610308E-02  5.3987819623366608E-02  5.5782800115413998E-02
  5.7636206746758074E-02  5.9549854891372191E-02  6.1525610274497752E-02
  6.3565389929318539E-02  6.5671163136540020E-02  6.7844952343114800E-02
  7.0088834056018318E-02  7.2404939706647187E-02  7.4795456481029018E-02
  7.7262628110654222E-02  7.9808755618303986E-02  8.2436198012819567E-02
  8.5147372926263828E-02  8.7944757186435643E-02  9.0830887317149528E-02
  9.3808359958120910E-02  9.6879832195700469E-02  1.0004802179503929E-01
  1.0331570732360523E-01  1.0668572815522390E-01  1.1016098434307604E-01
  1.1374443634925059E-01  1.1743910461761881E-01  1.2124806897587019E-01
  1.2517446785162145E-01  1.2922149728648089E-01  1.3339240973092217E-01
  1.3769051260168130E-01  1.4211916658225127E-01  1.4668178364580844E-01
  1.5138182477862291E-01  1.5622279738068090E-01  1.6120825231881902E-01
  1.6634178060624027E-01  1.7162700968072733E-01  1.7706759925232002E-01
  1.8266723668954937E-01  1.8842963191165391E-01  1.9435851175241756E-01
  2.0045761375949112E-01  2.0673067939116629E-01  2.1318144657070742E-01
  2.1981364155635799E-01  2.2663097008320152E-01  2.3363710773102905E-01
  2.4083568947034584E-01  2.4823029833665031E-01  2.5582445318106206E-01
  2.6362159544343133E-01  2.7162507489205523E-01  2.7983813427229404E-01
  2.8826389280450881E-01  2.9690532847010553E-01  3.0576525902284907E-01
  3.1484632166128196E-01  3.2415095129684390E-01  3.3368135735142251E-01
  3.4343949901737780E-01  3.5342705891286230E-01  3.6364541506535975E-01
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===== CORE_DENSITY =====
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