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taucloud.f
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taucloud.f
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c file: taucloud.f
c
c external routines: taucloud
c
c internal routines: cloudpar, icepar, usrcloud
c
c internal data block: cloudblk
c
c=======================================================================
subroutine taucloud(nz,ncldz,wl,lcld,lwp,tcloud,nre,taucld,wcld,
& imomc,nmom,pmom)
c
c purpose: compute cloud radiometric properties
c
c input:
c
c nz number of atmospheric layers
c ncldz maximum number of cloud layers
c wl wavelength
c lcld cloud layer indecies
c lwp liquid water path of each cloud layer
c tcloud optical depth of each cloud layer
c nre effective radius within each cloud layer
c
c imomc selects a cloud phase function
c 1 isotropic scattering
c 2 rayleigh scattering
c 3 henyey_greenstein(g(re))
c 4 haze L as specified by garcia/siewert
C 5 cloud c.1 as specified by garcia/siewert
c
c output:
c
c taucld increment of cloud optical depth at each vertical grid point
c wcld cloud single scatter albedo at each vertical grid point
c pmom phase function moments multiplied by taucld*wcld
c
use params, only: mxly,nstrms,maxmom,wl55,kr
implicit none
c
real(kr), parameter :: rhoice=.917 ! bulk density of ice (g/cm3):
real(kr) :: pmcld(0:maxmom), pmom(0:maxmom,*),
& lwp(*), tcloud(*), nre(*), lwpth, wcld(*), taucld(*),
& qcld(mxly), q550(mxly), reff, tcld, wt, wl, qc, wc, gc,
& qc550, wc550, gc550
integer :: i, j, k, nz, lcld(*), icnt(mxly), ncmom=0,
& ncldz, nmom, nmomc, imomc, lbot, ltop, ifirst=1
save q550
do j=1,nz
qcld(j)=0.
wcld(j)=0.
taucld(j)=0.
icnt(j)=0
enddo
do 20 i=1,ncldz
call levrng(ncldz,lcld,i,lbot,ltop)
if(lbot.eq.0) goto 20
if(tcloud(i).eq.0..and.lwp(i).eq.0.) goto 20
do 10 j=ltop,lbot
if(ltop.eq.lbot) then
reff=nre(i)
tcld=tcloud(i)
lwpth=lwp(i)
else
wt=float(j-ltop)/(lbot-ltop)
reff=nre(i+1)*(nre(i)/nre(i+1))**wt
c if tcloud(i+1) is zero, spread the opacity uniformly over
c the affected layers. if tcloud(i+1) is nonzero then the
c opacity is distributed such that it linearly increases
c (or decreases) from the bottom to the top layer. The rate
c of increase is controled by tcloud(i+1) which sets the ratio
c of the the opacity in the top layer to that of the bottom
c layer. The total opacity over all layers adds up to
c tcloud(i)
if(tcloud(i+1).eq.0.) then
tcld=tcloud(i)/(lbot-ltop+1)
else
tcld=2*tcloud(i)/((lbot-ltop+1)*(1.+tcloud(i+1)))
tcld=tcld+(lbot-j)*tcld*(tcloud(i+1)-1.)/(lbot-ltop)
endif
if(lwp(i+1).eq.0.) then
lwpth=lwp(i)/(lbot-ltop+1)
else
lwpth=2*lwp(i)/((lbot-ltop+1)*(1.+lwp(i+1)))
lwpth=lwpth+(lbot-j)*lwpth*(lwp(i+1)-1.)/(lbot-ltop)
endif
endif
ncmom=nmom
call cloudpar(wl,reff,qc,wc,gc)
call getmom(imomc,gc,nmom,pmcld)
do k=1,min(nmom,ncmom)
pmom(k,j)=pmcld(k)+pmom(k,j)
enddo
qcld(j)=qc+qcld(j)
wcld(j)=wc+wcld(j)
icnt(j)=1+icnt(j)
if(tcloud(i).ne.0.) then
if(ifirst.eq.1) then
nmomc=nmom
call cloudpar(wl55,reff,qc550,wc550,gc550)
q550(j)=qc550
endif
taucld(j)=tcld*qc/q550(j)+taucld(j)
else
if(lwpth.ne.0.) then
if(reff.lt.0.) then
taucld(j)=-.75*qc*lwpth/reff/rhoice+taucld(j)
else
taucld(j)=.75*qc*lwpth/reff+taucld(j)
endif
endif
endif
10 continue
20 continue
do 30 j=1,nz
if(icnt(j).ne.0) then
qcld(j)=qcld(j)/icnt(j)
wcld(j)=wcld(j)/icnt(j)
do i=1,min(nmom,ncmom)
pmom(i,j)=taucld(j)*wcld(j)*pmom(i,j)/icnt(j)
enddo
endif
30 continue
ifirst=0
return
end
c=======================================================================
subroutine usrcloud(nz,wl,p,taucld,wcld,imomc,nmom,pmom,idb)
c
c purpose: read user specified cloud properties
c this routine is called when tcloud(1) < 0
c
c input:
c wl wavelength
c p pressure array (mb), pressure at surface=p(1)
c imomc phase function type passed to getmom
c nmom number of phase function moments required
c idb if 1 then print diagnostics
c
c output:
c
c taucld increment of cloud optical depth at each vertical grid point
c wcld cloud single scatter albedo at each vertical grid point
c pmom phase function moments multiplied by taucld*wcld
c
c usrcloud format (read on first call only):
c
c read(13,*) (lwp(i),reff(i),fwp(i),reice(i),cldfrac(i)),i=1,nzz)
cc
c lwp liquid water path within layer (g/m2) (default=0)
c reff effective radius of water droplets (microns). (default=8.)
c fwp frozen water path within layer (g/m2) (default=0)
c negative fwp => ccm3 model parameters
c reice effective radius of ice particles (microns) (default=-1)
c reice.le.0 .and. fwp.gt.0 => ccm3 effective
c radius is used (see icepar)
c cldfrac fraction of cloud within layer. to simulate (default=1)
c the effect of partial cloud cover, optical depth is
c reduced by cldfrac**1.5, an empirical result from
c the NCAR Community Climate Model (CCM)
c
c DISCUSSION:
c Cloud records are read from file usrcld.dat starting with
c the lowest layer in the atmosphere. The input file need not
c specify values above the altitude where clouds are present.
c In addition the input record may be terminated before
c reading all the input variables by inserting a forward slash
c in place of the first variable to be ignord. If left
c unspecified, input quantities retain their default of
c lwp=0. reff=10, fwp=0, reice=-1, and cldfrac=1. The radiative
c properties of ice are computed from a CCM3 model
c parameterization contained in subroutine icepar
c
use params, only: maxmom,mxly,kr
implicit none
integer, parameter :: rhoice=.917 ! the bulk density of ice (g/cm3)
real(kr) :: p(*), pmom(0:maxmom,*), lwp(mxly), reff(mxly),
& fwp(mxly), reice(mxly), cldfrac(mxly), wcld(*),taucld(*),
& ww, gw, qw, wi, gi, qi, qcld(mxly), wl, tauw, prat, ri,
& taui, gcld
integer :: i, j, nz, imomc, idb, nmom, ifirst=1
data lwp/mxly*0./
data reff/mxly*8./
data fwp/mxly*0./
data reice/mxly*-1./
data cldfrac/mxly*1./
save lwp,reff,fwp,cldfrac
if(ifirst.eq.1) then
open(unit=13,file='usrcld.dat',form='formatted',status='old')
do i=nz,1,-1
read(13,*,end=100) lwp(i),reff(i),fwp(i),reice(i),cldfrac(i)
enddo
close(unit=13)
100 continue
ifirst=0
endif
if(imomc.lt.0) then
print *,'imomc < 0 not allowed with usrcld.dat option'
stop
endif
if(idb.gt.0) print '(a5,10a11)',
& 'i','p','taucld','tauw','taui','qw','qi','ww','wi','gw','gi'
do i=1,nz
if(lwp(i).gt.0.) then
call cloudpar(wl,reff(i),qw,ww,gw)
tauw=.75*qw*lwp(i)/reff(i)
else
qw=0.
ww=0.
gw=0.
tauw=0.
endif
if(fwp(i).ne.0.) then
prat=p(nz-i+1)/p(1)
ri=reice(i)
if(fwp(i).lt.0) then
call icepar(wl,prat,qi,wi,gi,ri)
else
if(ri.le.0) call icepar(wl,prat,qi,wi,gi,ri)
ri=-abs(ri)
call cloudpar(wl,ri,qi,wi,gi)
endif
taui=.75*qi*abs(fwp(i))/(rhoice*abs(ri))
else
qi=0.
wi=0.
gi=0.
taui=0.
endif
taucld(i)=tauw+taui
if(taucld(i).ne.0.) then
wcld(i)=(tauw*ww+taui*wi)/taucld(i)
gcld=(tauw*gw+taui*gi)/taucld(i)
call getmom(imomc,gcld,nmom,pmom(0,i))
endif
taucld(i)=taucld(i)*cldfrac(i)**1.5
do j=1,nmom
pmom(j,i)=taucld(i)*wcld(i)*pmom(j,i)
enddo
if(idb.gt.0) print '(i5,10es11.3)',
& i,p(nz-i+1),taucld(i),tauw,taui,qw,qi,ww,wi,gw,gi
enddo
return
end
c_end
c=======================================================================
subroutine icepar(wl,prat,qice,wice,gice,rei)
c
c purpose: compute ice radiative parameters using CCM3 ice coefficients.
c
c input:
c wl wavelength (um)
c prat pressure ratio p(z)/p_surface
c
c input/output:
c rei effective radius. if rei.le.0 then replace with
c effective radius from ccm3 ice model
c
c
c output:
c qice extinction coefficient
c wice single scattering albedo of ice
c gice asymmetry factor of ice
c rei effective radius of ice (um)
c
use params, only: kr
implicit none
real(kr) :: abari(4), bbari(4), cbari(4), dbari(4), ebari(4),
& fbari(4), pllow, plhgh, reimax, reimin, wl, rei, prat,
& qice, wice, gice
integer :: iceindx
data abari /3.448e-03,3.448e-03,3.448e-03,3.448e-03/
data bbari /2.431 ,2.431 ,2.431 ,2.431 /
data cbari /1.00e-05 ,1.10e-04 ,1.861e-02,.46658 /
data dbari /0.0 ,1.405e-05,8.328e-04,2.05e-05 /
data ebari /0.7661 ,0.7730 ,0.794 ,0.9595 /
data fbari /5.851e-04,5.665e-04,7.267e-04,1.076e-04/
data pllow /.0/
data plhgh /.4/
data reimax /30./
data reimin /10./
c CCM3 code - partitions solar spectrum to 4 bands.
if(wl.lt.0.69) then
iceindx=1
else if(wl.lt.1.19) then
iceindx=2
else if(wl.lt.2.38) then
iceindx=3
else
iceindx=4
endif
if(rei.le.0.) then
if(prat.gt.plhgh) then
rei=reimin
else
rei=reimax-((reimax-reimin)*((prat-plhgh)/(plhgh-pllow)))
endif
endif
gice=ebari(iceindx)+fbari(iceindx)*rei
wice=1.-cbari(iceindx)-dbari(iceindx)*rei
qice=(abari(iceindx)+(bbari(iceindx)/rei))
return
end
c=======================================================================
SUBROUTINE cloudpar(wl,re,qc,wc,gc)
c
c input:
c wl wavelength in microns
c re effective cloud drop radius (microns)
c output:
c qc mean extinction efficiency (unitless)
c wc single scatter albedo (unitless)
c gc asymmetry factor (unitless)
c
c the parameters contained in this subroutine were computed using
c Wiscombe Mie scattering code, MIEV0. The radius integrations
c were performed over a modified gamma distribution
c f(x)=(x/xm)^(p-1)*exp(-x/xm) where p=7.
c NOTE:
c re < 0 selects scattering parameters for ice spheres
c Mie scattering parameters for water and ice clouds
c
c Wavelength range is 0.29 to 333.33 microns
c
c Wavelengths steps are in equal increments of log(wavelength)
c Hence, the i'th table entry is at wavelenth
c
c wl = 0.29 * (333.33/0.29)**((i-1)/(mxwv-1))
c
c Included in the table are entries for effective radii of
c
c re = 2**((j+1)/2) for j=1,13
c
c This Mie database was created by
c /home/paul/mie/wiscombe/{water,ice}/pmom.cmd
c and formated with
c /home/paul/mie/wiscombe/{water,ice}/mkpmom.pro
use params, only: one, kr
implicit none
real(kr), parameter :: wlmin=0.29, wlmax=333.33, eps=.000001
integer, parameter :: mxwv=400, mre=13
integer :: icall, i, iw, ir
real(kr) :: qq(mxwv,mre),ww(mxwv,mre),gg(mxwv,mre),
& qqi(mxwv,mre),wwi(mxwv,mre),ggi(mxwv,mre),
& fr, fw, gc, qc, re, wc, wl, wmax, wmin, wstep
data icall,wmin,wmax,wstep/0,0.,0.,0./
c
c ---------------- extinction efficiency ----------------
data (qq(i,1),i=1,mxwv)/
& 2.17502666, 2.17705488, 2.17945981, 2.18155527, 2.18386197,
& 2.18641090, 2.18857670, 2.19129729, 2.19366312, 2.19596457,
& 2.19853497, 2.20104814, 2.20371795, 2.20627928, 2.20893717,
& 2.21180654, 2.21439219, 2.21722698, 2.22005177, 2.22292018,
& 2.22576642, 2.22874284, 2.23176241, 2.23473716, 2.23774362,
& 2.24082780, 2.24402070, 2.24720716, 2.25038552, 2.25361443,
& 2.25692534, 2.26020098, 2.26354837, 2.26690340, 2.27032566,
& 2.27374268, 2.27719760, 2.28062248, 2.28411269, 2.28760719,
& 2.29113030, 2.29466820, 2.29824281, 2.30179715, 2.30538130,
& 2.30899572, 2.31262636, 2.31630254, 2.32001519, 2.32378149,
& 2.32762146, 2.33154297, 2.33557439, 2.33973503, 2.34405398,
& 2.34856272, 2.35329628, 2.35829353, 2.36359835, 2.36925769,
& 2.37532187, 2.38184500, 2.38888407, 2.39649868, 2.40475059,
& 2.41370153, 2.42341542, 2.43395329, 2.44537401, 2.45773554,
& 2.47109199, 2.48549771, 2.50098848, 2.51760030, 2.53535986,
& 2.55428433, 2.57437634, 2.59563327, 2.61801910, 2.64149570,
& 2.66603732, 2.69156599, 2.71801019, 2.74528360, 2.77326369,
& 2.80183864, 2.83086061, 2.86014557, 2.88957477, 2.91879225,
& 2.94668722, 2.97444415, 3.00203633, 3.02939057, 3.05576015,
& 3.08073235, 3.10413814, 3.12579226, 3.14543080, 3.16288662,
& 3.17790985, 3.19019771, 3.19952631, 3.20562434, 3.20852327,
& 3.20691943, 3.19620252, 3.18033361, 3.17178464, 3.16243815,
& 3.14695644, 3.12438679, 3.09612036, 3.06194472, 3.02178931,
& 2.97530246, 2.92187381, 2.86102247, 2.79152226, 2.71235824,
& 2.62156391, 2.51724195, 2.39780188, 2.25397897, 2.06965280,
& 1.81314278, 1.47268379, 1.15169585, 1.28466785, 1.53216481,
& 1.85487890, 2.12174034, 2.31310582, 2.47859597, 2.64122748,
& 2.79979491, 2.90341711, 2.95882654, 2.94658995, 2.86584187,
& 2.77218103, 2.66592813, 2.55328059, 2.43995881, 2.33058119,
& 2.22600079, 2.12766719, 2.03446722, 1.94598961, 1.86261523,
& 1.78330398, 1.70802879, 1.63683224, 1.57049978, 1.50879097,
& 1.45302904, 1.40313184, 1.36117184, 1.31957674, 1.27231741,
& 1.21919715, 1.16273332, 1.10242403, 1.03997958, 0.97503036,
& 0.91024303, 0.84782869, 0.78598338, 0.72648561, 0.67700797,
& 0.68004543, 0.80958587, 1.06148815, 1.21916318, 1.06732845,
& 0.92990327, 0.84266120, 0.77429891, 0.71917790, 0.67489249,
& 0.63671166, 0.60254693, 0.57224268, 0.54376388, 0.51730049,
& 0.49202278, 0.46848267, 0.44672537, 0.42581266, 0.40601236,
& 0.38732231, 0.36951771, 0.35282731, 0.33719108, 0.32282090,
& 0.30936635, 0.29687786, 0.28551263, 0.27485919, 0.26570359,
& 0.25775653, 0.25239041, 0.25175655, 0.25901312, 0.27342898,
& 0.29718980, 0.32283768, 0.35670570, 0.39677656, 0.44318610,
& 0.48895615, 0.54749864, 0.60162365, 0.65336853, 0.69634545,
& 0.73471516, 0.76891905, 0.79815042, 0.81967932, 0.83824831,
& 0.85156107, 0.85920340, 0.86628318, 0.86854428, 0.86856580,
& 0.86789280, 0.86537731, 0.86100680, 0.85260862, 0.84360075,
& 0.83239943, 0.81652278, 0.80135447, 0.78186607, 0.76419902,
& 0.74566597, 0.72170585, 0.69796336, 0.67450345, 0.64958209,
& 0.62229031, 0.60202730, 0.58223885, 0.56328470, 0.54505736,
& 0.52727163, 0.50990611, 0.49297634, 0.47528338, 0.45593211,
& 0.43725908, 0.42013198, 0.40361109, 0.38725349, 0.37129331,
& 0.35583365, 0.34084553, 0.32662845, 0.31328207, 0.30051482,
& 0.28836867, 0.27716801, 0.26738128, 0.25871325, 0.25169498,
& 0.24573471, 0.24069007, 0.23662263, 0.23302822, 0.22975561,
& 0.22687808, 0.22466733, 0.22326955, 0.22239502, 0.22159633,
& 0.22182521, 0.22313239, 0.22480163, 0.22632575, 0.22770067,
& 0.22977827, 0.23218539, 0.23447281, 0.23606516, 0.23758155,
& 0.23897120, 0.24005422, 0.24075750, 0.24140766, 0.24041410,
& 0.23857823, 0.23654707, 0.23449720, 0.23238145, 0.22981887,
& 0.22545232, 0.22110908, 0.21650995, 0.21198845, 0.20732638,
& 0.20268758, 0.19721176, 0.19181943, 0.18613218, 0.18070966,
& 0.17568652, 0.17069620, 0.16572662, 0.16076547, 0.15587592,
& 0.15096237, 0.14622231, 0.14167967, 0.13731468, 0.13312168,
& 0.12914601, 0.12484229, 0.12050779, 0.11640624, 0.11245794,
& 0.10855427, 0.10464919, 0.10097606, 0.09758507, 0.09428326,
& 0.09104992, 0.08808544, 0.08513276, 0.08217223, 0.07938257,
& 0.07679242, 0.07432113, 0.07205009, 0.06984399, 0.06770088,
& 0.06561888, 0.06359617, 0.06214036, 0.06082397, 0.05953438,
& 0.05827096, 0.05703313, 0.05586062, 0.05471718, 0.05359612,
& 0.05249694, 0.05142131, 0.05037135, 0.04934165, 0.04833176,
& 0.04735898, 0.04651768, 0.04569063, 0.04487758, 0.04408547,
& 0.04333149, 0.04258981, 0.04186019, 0.04115284, 0.04046454,
& 0.03978714, 0.03913825, 0.03857718, 0.03802390, 0.03747830,
& 0.03693016, 0.03638894, 0.03585538, 0.03529256, 0.03472875,
& 0.03417354, 0.03363883, 0.03311307, 0.03259677, 0.03209499,
& 0.03160060, 0.03111210, 0.03062983, 0.03015471, 0.02970541,
& 0.02926306, 0.02880034, 0.02832900, 0.02786013, 0.02738631,
& 0.02692121, 0.02647947, 0.02604464, 0.02561771, 0.02519749,
& 0.02479647, 0.02440309, 0.02401588, 0.02363460, 0.02327066,
& 0.02291242, 0.02255957, 0.02221145, 0.02186741, 0.02152859/
data (qq(i,2),i=1,mxwv)/
& 2.13798332, 2.13925219, 2.14121342, 2.14302087, 2.14454389,
& 2.14633369, 2.14811230, 2.15019870, 2.15216684, 2.15378094,
& 2.15584373, 2.15777731, 2.15973592, 2.16166997, 2.16378689,
& 2.16593575, 2.16784549, 2.17012668, 2.17208719, 2.17420554,
& 2.17655826, 2.17878199, 2.18132281, 2.18330407, 2.18574071,
& 2.18803787, 2.19039845, 2.19302201, 2.19534039, 2.19793582,
& 2.20031524, 2.20289874, 2.20567107, 2.20836806, 2.21095133,
& 2.21373105, 2.21643114, 2.21926165, 2.22209811, 2.22489476,
& 2.22785592, 2.23078966, 2.23379755, 2.23679447, 2.23991466,
& 2.24296117, 2.24611163, 2.24927950, 2.25246811, 2.25567436,
& 2.25902772, 2.26228857, 2.26560974, 2.26899385, 2.27235270,
& 2.27572775, 2.27916002, 2.28259277, 2.28602648, 2.28948903,
& 2.29299402, 2.29648638, 2.30001974, 2.30355215, 2.30712700,
& 2.31072402, 2.31436896, 2.31805515, 2.32180691, 2.32563615,
& 2.32955813, 2.33359814, 2.33777022, 2.34213328, 2.34669137,
& 2.35149336, 2.35658002, 2.36199999, 2.36780286, 2.37404275,
& 2.38078094, 2.38808084, 2.39600778, 2.40463352, 2.41402841,
& 2.42426777, 2.43542647, 2.44758058, 2.46080685, 2.47520447,
& 2.49055290, 2.50686765, 2.52442575, 2.54340053, 2.56385159,
& 2.58563137, 2.60874343, 2.63316607, 2.65884924, 2.68580270,
& 2.71406054, 2.74336243, 2.77359009, 2.80458641, 2.83639789,
& 2.86914539, 2.89929056, 2.92447400, 2.95171785, 2.98308206,
& 3.01519752, 3.04522467, 3.07343721, 3.09903026, 3.12162685,
& 3.14059973, 3.15504026, 3.16401362, 3.16631794, 3.15989852,
& 3.14246082, 3.11055136, 3.06122589, 2.98802567, 2.86877966,
& 2.64914417, 2.24823785, 1.68687320, 1.65082586, 1.80276322,
& 2.05663753, 2.25913787, 2.40496802, 2.52363515, 2.64168501,
& 2.77308202, 2.89902425, 3.02475595, 3.13580918, 3.19440866,
& 3.22508168, 3.23115849, 3.21329999, 3.17614865, 3.12688971,
& 3.06819391, 3.00411606, 2.93599343, 2.86500192, 2.79205775,
& 2.71830487, 2.64325356, 2.56808257, 2.49391270, 2.42130661,
& 2.35278726, 2.28868771, 2.23401618, 2.18567824, 2.13337469,
& 2.07345867, 2.00666738, 1.93272746, 1.85209572, 1.76304054,
& 1.66803360, 1.56938481, 1.46480370, 1.35238814, 1.23800766,
& 1.17062557, 1.25814593, 1.53864408, 1.80666018, 1.74136353,
& 1.60048425, 1.49206913, 1.39938819, 1.31875503, 1.24944663,
& 1.18757772, 1.13048494, 1.07846689, 1.02890050, 0.98189175,
& 0.93626744, 0.89275277, 0.85150170, 0.81159115, 0.77302444,
& 0.73593479, 0.69997483, 0.66549397, 0.63244063, 0.60123473,
& 0.57131159, 0.54277855, 0.51594448, 0.48996422, 0.46606418,
& 0.44387582, 0.42454937, 0.41302297, 0.41110086, 0.42056698,
& 0.44397256, 0.47131950, 0.50981212, 0.55733794, 0.61353487,
& 0.66908497, 0.74138194, 0.80845982, 0.87330765, 0.92801374,
& 0.97697091, 1.02180791, 1.06119645, 1.09199321, 1.11951602,
& 1.14143550, 1.15647972, 1.17098117, 1.18009853, 1.18668222,
& 1.19206452, 1.19590342, 1.19766498, 1.19458222, 1.19039881,
& 1.18394518, 1.17135620, 1.15939510, 1.14124632, 1.12467051,
& 1.10712790, 1.08210421, 1.05639410, 1.02959049, 0.99969471,
& 0.96512556, 0.93898529, 0.91308397, 0.88795686, 0.86347985,
& 0.83926386, 0.81547731, 0.79197890, 0.76698780, 0.73913848,
& 0.71192718, 0.68603122, 0.66079444, 0.63542688, 0.61038649,
& 0.58576566, 0.56151837, 0.53822154, 0.51596385, 0.49447951,
& 0.47369748, 0.45428184, 0.43682915, 0.42111406, 0.40789378,
& 0.39639977, 0.38641477, 0.37806916, 0.37057266, 0.36368626,
& 0.35748842, 0.35236308, 0.34856409, 0.34564441, 0.34291050,
& 0.34179229, 0.34235492, 0.34365222, 0.34482867, 0.34586433,
& 0.34801191, 0.35076204, 0.35344568, 0.35519850, 0.35690305,
& 0.35849330, 0.35969409, 0.36039451, 0.36111709, 0.35949779,
& 0.35661972, 0.35342786, 0.35023332, 0.34698740, 0.34307635,
& 0.33652633, 0.32998708, 0.32302523, 0.31616625, 0.30910769,
& 0.30207407, 0.29380319, 0.28564483, 0.27701414, 0.26877081,
& 0.26110730, 0.25349978, 0.24593145, 0.23838133, 0.23094511,
& 0.22347386, 0.21626568, 0.20935442, 0.20271324, 0.19634008,
& 0.19030578, 0.18380356, 0.17726648, 0.17107494, 0.16512010,
& 0.15924217, 0.15337250, 0.14784652, 0.14274411, 0.13778329,
& 0.13293341, 0.12848461, 0.12406534, 0.11964417, 0.11547906,
& 0.11161148, 0.10792426, 0.10453162, 0.10124227, 0.09805273,
& 0.09495969, 0.09195992, 0.08978231, 0.08781121, 0.08588430,
& 0.08400035, 0.08215816, 0.08041602, 0.07872003, 0.07706007,
& 0.07543521, 0.07384758, 0.07230001, 0.07078455, 0.06930044,
& 0.06787216, 0.06663447, 0.06541952, 0.06422679, 0.06306614,
& 0.06196215, 0.06087751, 0.05981183, 0.05877952, 0.05777590,
& 0.05678929, 0.05584471, 0.05502670, 0.05422094, 0.05342721,
& 0.05263123, 0.05184607, 0.05107273, 0.05025868, 0.04944408,
& 0.04864248, 0.04787079, 0.04711253, 0.04636840, 0.04564557,
& 0.04493385, 0.04423108, 0.04353771, 0.04285501, 0.04220954,
& 0.04157440, 0.04091078, 0.04023536, 0.03956383, 0.03888561,
& 0.03822013, 0.03758813, 0.03696627, 0.03635591, 0.03575535,
& 0.03518232, 0.03462039, 0.03406746, 0.03352317, 0.03300372,
& 0.03249256, 0.03198923, 0.03149279, 0.03100232, 0.03051943/
data (qq(i,3),i=1,mxwv)/
& 2.10869312, 2.10994959, 2.11140633, 2.11277103, 2.11422896,
& 2.11536121, 2.11695004, 2.11851144, 2.11983109, 2.12128448,
& 2.12290406, 2.12427378, 2.12593651, 2.12752199, 2.12906098,
& 2.13054109, 2.13223219, 2.13380599, 2.13549471, 2.13716388,
& 2.13883781, 2.14053965, 2.14241076, 2.14389253, 2.14597774,
& 2.14763069, 2.14959931, 2.15132356, 2.15322566, 2.15502787,
& 2.15699601, 2.15899014, 2.16102433, 2.16296744, 2.16500926,
& 2.16714239, 2.16919565, 2.17152119, 2.17347479, 2.17582440,
& 2.17812586, 2.18023086, 2.18252206, 2.18482947, 2.18741202,
& 2.18976593, 2.19206786, 2.19451046, 2.19712734, 2.19927979,
& 2.20195913, 2.20460868, 2.20721841, 2.21003222, 2.21257138,
& 2.21535015, 2.21808338, 2.22079682, 2.22379136, 2.22658467,
& 2.22949386, 2.23260593, 2.23552299, 2.23868084, 2.24167609,
& 2.24473333, 2.24787998, 2.25107288, 2.25427008, 2.25750327,
& 2.26077747, 2.26406288, 2.26738620, 2.27073312, 2.27406740,
& 2.27748823, 2.28088045, 2.28429341, 2.28773665, 2.29119539,
& 2.29467297, 2.29816723, 2.30168939, 2.30523252, 2.30881763,
& 2.31244469, 2.31613111, 2.31988573, 2.32373452, 2.32769465,
& 2.33177805, 2.33604360, 2.34052014, 2.34524989, 2.35028577,
& 2.35567641, 2.36148620, 2.36778593, 2.37465405, 2.38218617,
& 2.39050651, 2.39969325, 2.40986061, 2.42113304, 2.43366981,
& 2.44789767, 2.46370196, 2.47966862, 2.49573636, 2.51447392,
& 2.53611541, 2.56007242, 2.58641195, 2.61510921, 2.64629149,
& 2.68005490, 2.71643901, 2.75540113, 2.79707813, 2.84088016,
& 2.88646746, 2.93235302, 2.97695661, 3.02118087, 3.05438161,
& 3.03401637, 2.82029462, 2.20736504, 1.96685779, 1.99823010,
& 2.16106415, 2.28940988, 2.37913322, 2.44473457, 2.50376511,
& 2.56359792, 2.62238908, 2.68873930, 2.76887298, 2.84917426,
& 2.92530346, 2.99790573, 3.06162143, 3.11368728, 3.15467215,
& 3.18417263, 3.20343637, 3.21363235, 3.21554637, 3.20906758,
& 3.19627380, 3.17594481, 3.14931393, 3.11678267, 3.07932758,
& 3.03928494, 2.99739718, 2.95979095, 2.93239808, 2.90570259,
& 2.87324166, 2.83226228, 2.78262997, 2.72195435, 2.64654684,
& 2.55602670, 2.45047402, 2.32708144, 2.17662430, 1.99636972,
& 1.82395816, 1.79886127, 2.02898788, 2.35301685, 2.44095850,
& 2.36579680, 2.27746248, 2.18968177, 2.10384727, 2.02282238,
& 1.94670093, 1.87331951, 1.80390608, 1.73616374, 1.67005050,
& 1.60433435, 1.53977203, 1.47672570, 1.41483545, 1.35354042,
& 1.29323709, 1.23349452, 1.17478526, 1.11712825, 1.06127715,
& 1.00641990, 0.95282000, 0.90102839, 0.84956110, 0.80019069,
& 0.75258124, 0.70687234, 0.67304814, 0.64910203, 0.64281952,
& 0.65700501, 0.67927259, 0.71648842, 0.76698202, 0.82928628,
& 0.89143950, 0.97439528, 1.05156362, 1.12681627, 1.19099045,
& 1.24820960, 1.30166233, 1.34947407, 1.38847625, 1.42405236,
& 1.45427072, 1.47696316, 1.49915755, 1.51610875, 1.53059542,
& 1.54341340, 1.55549169, 1.56569850, 1.57107580, 1.57504904,
& 1.57740808, 1.57322407, 1.56969309, 1.55904830, 1.54945028,
& 1.53938389, 1.52113044, 1.50125325, 1.47851932, 1.45108402,
& 1.41654611, 1.38996530, 1.36316288, 1.33678174, 1.31068814,
& 1.28441143, 1.25846064, 1.23237038, 1.20382631, 1.17095113,
& 1.13821161, 1.10528207, 1.07261980, 1.03890014, 1.00488675,
& 0.97053176, 0.93571740, 0.90145522, 0.86771047, 0.83448863,
& 0.80137235, 0.76968843, 0.74003637, 0.71266198, 0.68858790,
& 0.66707826, 0.64786100, 0.63126296, 0.61609554, 0.60200340,
& 0.58903724, 0.57771480, 0.56852263, 0.56079382, 0.55345875,
& 0.54865283, 0.54646742, 0.54585260, 0.54528731, 0.54470569,
& 0.54592073, 0.54831171, 0.55089056, 0.55235320, 0.55390370,
& 0.55547148, 0.55662739, 0.55720031, 0.55807185, 0.55571741,
& 0.55144519, 0.54661435, 0.54182684, 0.53707272, 0.53129399,
& 0.52163976, 0.51189679, 0.50135422, 0.49089104, 0.48011509,
& 0.46930960, 0.45660460, 0.44399253, 0.43051162, 0.41755992,
& 0.40541157, 0.39333448, 0.38130838, 0.36929464, 0.35744789,
& 0.34551895, 0.33398399, 0.32289293, 0.31221557, 0.30197191,
& 0.29228595, 0.28192002, 0.27151796, 0.26163468, 0.25213447,
& 0.24277574, 0.23345183, 0.22464956, 0.21651274, 0.20861855,
& 0.20092036, 0.19384757, 0.18685448, 0.17988528, 0.17331909,
& 0.16721793, 0.16140804, 0.15604682, 0.15086702, 0.14586158,
& 0.14102377, 0.13634714, 0.13289264, 0.12975894, 0.12670794,
& 0.12373675, 0.12084254, 0.11811424, 0.11546731, 0.11288538,
& 0.11036633, 0.10791252, 0.10552726, 0.10319855, 0.10092463,
& 0.09874038, 0.09683983, 0.09497969, 0.09315877, 0.09139106,
& 0.08971205, 0.08806676, 0.08645427, 0.08489495, 0.08338176,
& 0.08189763, 0.08047837, 0.07924533, 0.07803354, 0.07684249,
& 0.07565257, 0.07448127, 0.07332975, 0.07212290, 0.07091793,
& 0.06973404, 0.06859525, 0.06747789, 0.06638284, 0.06532034,
& 0.06427555, 0.06324537, 0.06223033, 0.06123209, 0.06028872,
& 0.05936145, 0.05839503, 0.05741312, 0.05643792, 0.05545427,
& 0.05448988, 0.05357417, 0.05267388, 0.05179091, 0.05092278,
& 0.05009467, 0.04928317, 0.04848522, 0.04770028, 0.04695141,
& 0.04621495, 0.04549025, 0.04477591, 0.04407059, 0.04337656/
data (qq(i,4),i=1,mxwv)/
& 2.08608413, 2.08718085, 2.08819842, 2.08928776, 2.09026051,
& 2.09133458, 2.09247351, 2.09354448, 2.09475374, 2.09592819,
& 2.09698820, 2.09825253, 2.09944415, 2.10058975, 2.10188723,
& 2.10301042, 2.10440993, 2.10564876, 2.10713172, 2.10819149,
& 2.10947013, 2.11083865, 2.11228514, 2.11354899, 2.11504149,
& 2.11647153, 2.11772227, 2.11944032, 2.12073398, 2.12217474,
& 2.12372160, 2.12518692, 2.12670422, 2.12827706, 2.12999678,
& 2.13142085, 2.13316607, 2.13475418, 2.13644004, 2.13801360,
& 2.13973999, 2.14158034, 2.14336085, 2.14500785, 2.14754248,
& 2.14867210, 2.15053105, 2.15235233, 2.15427756, 2.15617537,
& 2.15817475, 2.16008782, 2.16209793, 2.16414022, 2.16627002,
& 2.16842127, 2.17039990, 2.17264581, 2.17476940, 2.17722082,
& 2.17922306, 2.18139601, 2.18377066, 2.18595934, 2.18852735,
& 2.19084144, 2.19325399, 2.19597149, 2.19838595, 2.20085573,
& 2.20338416, 2.20608950, 2.20859051, 2.21130514, 2.21415663,
& 2.21691465, 2.21960235, 2.22249460, 2.22532177, 2.22823811,
& 2.23119760, 2.23420048, 2.23719168, 2.24030447, 2.24336004,
& 2.24646950, 2.24964976, 2.25286150, 2.25608301, 2.25932121,
& 2.26253939, 2.26582241, 2.26915288, 2.27252769, 2.27591467,
& 2.27931309, 2.28272390, 2.28614759, 2.28958941, 2.29304862,
& 2.29653072, 2.30004168, 2.30359244, 2.30719543, 2.31088018,
& 2.31466842, 2.31852102, 2.32249141, 2.32671952, 2.33127499,
& 2.33619928, 2.34156895, 2.34752536, 2.35422683, 2.36188507,
& 2.37076735, 2.38122392, 2.39368606, 2.40880442, 2.42733002,
& 2.45043492, 2.47953343, 2.51644492, 2.56633377, 2.63695979,
& 2.73646903, 2.80438280, 2.48966694, 2.15578151, 2.10177422,
& 2.18972707, 2.26456690, 2.31655908, 2.35262156, 2.38277960,
& 2.40946722, 2.43095112, 2.45043802, 2.47089243, 2.49408054,
& 2.52004957, 2.55064130, 2.58556533, 2.62389326, 2.66443777,
& 2.70609426, 2.74769092, 2.78883410, 2.82893705, 2.86680984,
& 2.90274501, 2.93540955, 2.96442008, 2.98866057, 3.00792336,
& 3.02198839, 3.03077078, 3.03648925, 3.04872918, 3.06593990,
& 3.08406568, 3.09908509, 3.11101890, 3.11588383, 3.10966635,
& 3.08762121, 3.04506540, 2.97790289, 2.86905861, 2.69852328,
& 2.45939159, 2.28735828, 2.37881136, 2.63521552, 2.83085465,
& 2.87047887, 2.85724258, 2.82630253, 2.78239822, 2.73039556,
& 2.67559981, 2.61768126, 2.55856657, 2.49776578, 2.43501234,
& 2.36961031, 2.30192137, 2.23245740, 2.16206431, 2.08944917,
& 2.01527452, 1.93915737, 1.86155772, 1.78262067, 1.70341992,
& 1.62305439, 1.54199219, 1.46106601, 1.37812603, 1.29532707,
& 1.21259439, 1.12785673, 1.05840755, 0.99532914, 0.95742053,
& 0.94795388, 0.95371586, 0.97912616, 1.02392077, 1.08473706,
& 1.14701998, 1.23365045, 1.31460798, 1.39419651, 1.46257877,
& 1.52303052, 1.58031464, 1.63210475, 1.67565691, 1.71578753,
& 1.75132167, 1.77945089, 1.80704463, 1.83019590, 1.85123301,
& 1.87025559, 1.88947523, 1.90730131, 1.92113745, 1.93348849,
& 1.94530141, 1.95149374, 1.95836437, 1.95874786, 1.95952487,
& 1.96076453, 1.95526111, 1.94776297, 1.93628299, 1.91968000,
& 1.89515257, 1.87585616, 1.85601318, 1.83620429, 1.81630564,
& 1.79586506, 1.77574813, 1.75512981, 1.73167431, 1.70336866,
& 1.67456388, 1.64312804, 1.61127734, 1.57719040, 1.54180443,
& 1.50471973, 1.46561122, 1.42580879, 1.38490987, 1.34344804,
& 1.30030930, 1.25759029, 1.21547580, 1.17526007, 1.13806653,
& 1.10376072, 1.07215190, 1.04398108, 1.01774323, 0.99301237,
& 0.96975309, 0.94857353, 0.93038440, 0.91433358, 0.89892870,
& 0.88709855, 0.87900382, 0.87400436, 0.86951578, 0.86537468,
& 0.86397922, 0.86478364, 0.86644882, 0.86713207, 0.86827159,
& 0.86983430, 0.87118530, 0.87207621, 0.87397659, 0.87195694,
& 0.86715698, 0.86135793, 0.85571909, 0.85037875, 0.84350461,
& 0.83126980, 0.81861663, 0.80435240, 0.78994828, 0.77498752,
& 0.75973231, 0.74151307, 0.72311902, 0.70289445, 0.68316793,
& 0.66430342, 0.64537662, 0.62637138, 0.60720849, 0.58815211,
& 0.56875134, 0.54981065, 0.53141022, 0.51354426, 0.49632597,
& 0.48001266, 0.46263373, 0.44515380, 0.42837855, 0.41219971,
& 0.39624578, 0.38034523, 0.36520466, 0.35113859, 0.33749765,
& 0.32421276, 0.31194299, 0.29987898, 0.28790689, 0.27660036,
& 0.26606229, 0.25602967, 0.24670805, 0.23774523, 0.22912604,
& 0.22083592, 0.21286091, 0.20678002, 0.20123938, 0.19587976,
& 0.19069350, 0.18567327, 0.18096623, 0.17642576, 0.17202219,
& 0.16775009, 0.16361059, 0.15960635, 0.15571795, 0.15194090,
& 0.14832486, 0.14515376, 0.14206679, 0.13906078, 0.13615564,
& 0.13340358, 0.13071999, 0.12810239, 0.12557934, 0.12313955,
& 0.12075731, 0.11848422, 0.11649707, 0.11455292, 0.11265031,
& 0.11076353, 0.10891392, 0.10710233, 0.10522015, 0.10334931,
& 0.10151698, 0.09975738, 0.09803587, 0.09635346, 0.09472474,
& 0.09312759, 0.09155734, 0.09001437, 0.08850069, 0.08707152,
& 0.08566996, 0.08421671, 0.08274542, 0.08128752, 0.07982088,
& 0.07838541, 0.07702288, 0.07568563, 0.07437608, 0.07309065,
& 0.07186520, 0.07066607, 0.06948867, 0.06833217, 0.06722954,
& 0.06614668, 0.06508251, 0.06403495, 0.06300194, 0.06198668/
data (qq(i,5),i=1,mxwv)/
& 2.06820655, 2.06907678, 2.06985450, 2.07070923, 2.07153821,
& 2.07240009, 2.07327151, 2.07405877, 2.07502890, 2.07594180,
& 2.07686520, 2.07781076, 2.07874894, 2.07965040, 2.08064580,
& 2.08158016, 2.08250928, 2.08357215, 2.08455801, 2.08565044,
& 2.08637929, 2.08769488, 2.08875489, 2.08978438, 2.09119201,
& 2.09195542, 2.09307051, 2.09417486, 2.09566021, 2.09656596,
& 2.09772825, 2.09896684, 2.10003686, 2.10122228, 2.10266829,
& 2.10368466, 2.10505676, 2.10627294, 2.10756540, 2.10885644,
& 2.10994577, 2.11153722, 2.11289072, 2.11438799, 2.11563444,
& 2.11702752, 2.11848927, 2.12003207, 2.12152100, 2.12287998,
& 2.12438536, 2.12596536, 2.12761021, 2.12916422, 2.13065577,
& 2.13222671, 2.13384008, 2.13563156, 2.13722587, 2.13888812,
& 2.14061761, 2.14231634, 2.14399195, 2.14580345, 2.14766812,
& 2.14946795, 2.15147948, 2.15331149, 2.15531325, 2.15730000,
& 2.15920115, 2.16103840, 2.16323447, 2.16517234, 2.16729069,
& 2.16925478, 2.17180204, 2.17365289, 2.17592597, 2.17805815,
& 2.18034935, 2.18262458, 2.18497086, 2.18732190, 2.18993735,
& 2.19229698, 2.19462013, 2.19715142, 2.19970536, 2.20224977,
& 2.20480633, 2.20744205, 2.21013236, 2.21287704, 2.21566105,
& 2.21848178, 2.22133803, 2.22423530, 2.22717381, 2.23014522,
& 2.23316383, 2.23621774, 2.23930860, 2.24243641, 2.24560738,
& 2.24880743, 2.25185871, 2.25477719, 2.25798988, 2.26141644,
& 2.26488400, 2.26830220, 2.27171969, 2.27512717, 2.27853608,
& 2.28195477, 2.28539276, 2.28887916, 2.29246712, 2.29624224,
& 2.30038857, 2.30524015, 2.31143141, 2.32040977, 2.33603311,
& 2.37137532, 2.45426416, 2.44946384, 2.20604682, 2.13419557,
& 2.18014622, 2.22571373, 2.25818729, 2.28112984, 2.30040073,
& 2.31750512, 2.33114266, 2.34305668, 2.35338426, 2.36136699,
& 2.36845207, 2.37524247, 2.38214278, 2.38966513, 2.39820385,
& 2.40807438, 2.41940808, 2.43239141, 2.44712353, 2.46356678,
& 2.48175073, 2.50162148, 2.52295828, 2.54527211, 2.56819105,
& 2.59079742, 2.61251926, 2.63217568, 2.65303588, 2.67775917,
& 2.70673823, 2.73902822, 2.77534389, 2.81459999, 2.85631204,
& 2.89715695, 2.93249226, 2.95910835, 2.96320677, 2.91557240,
& 2.75280142, 2.52676201, 2.48015690, 2.59384298, 2.74544239,
& 2.83394647, 2.88375354, 2.91826963, 2.93902302, 2.94725871,
& 2.94816136, 2.94250584, 2.93109941, 2.91520643, 2.89412355,
& 2.86783385, 2.83567119, 2.79767823, 2.75550127, 2.70736241,
& 2.65363932, 2.59395409, 2.52823567, 2.45648146, 2.37949419,
& 2.29647303, 2.20777822, 2.11415458, 2.01308823, 1.90620482,
& 1.79376423, 1.67024875, 1.55999899, 1.44535625, 1.36056030,
& 1.31077492, 1.28606808, 1.28603566, 1.31325352, 1.36183822,
& 1.41526771, 1.49541938, 1.57121015, 1.64651060, 1.71159971,
& 1.76844800, 1.82287967, 1.87235153, 1.91487622, 1.95417786,
& 1.98994458, 2.01923084, 2.04786587, 2.07324982, 2.09701180,
& 2.11866832, 2.14117742, 2.16281676, 2.18176293, 2.19935513,
& 2.21735668, 2.23155284, 2.24632907, 2.25650620, 2.26651025,
& 2.27776742, 2.28519630, 2.29097319, 2.29291487, 2.29087257,
& 2.28247237, 2.27554417, 2.26810193, 2.26050091, 2.25264978,
& 2.24424005, 2.23628497, 2.22780561, 2.21717906, 2.20294452,
& 2.18797851, 2.16855264, 2.14828658, 2.12532520, 2.10047889,
& 2.07296491, 2.04221296, 2.00941515, 1.97365880, 1.93596601,
& 1.89444149, 1.85140610, 1.80609035, 1.76090717, 1.71656728,
& 1.67406821, 1.63346839, 1.59599853, 1.56027949, 1.52597260,
& 1.49290502, 1.46160078, 1.43346810, 1.40771902, 1.38269222,
& 1.36168027, 1.34498692, 1.33325493, 1.32279706, 1.31332016,
& 1.30742574, 1.30502141, 1.30461967, 1.30402958, 1.30455196,
& 1.30626345, 1.30836785, 1.31056821, 1.31500280, 1.31589973,
& 1.31346834, 1.30959499, 1.30618668, 1.30368543, 1.29933238,
& 1.28896904, 1.27771175, 1.26376152, 1.24925303, 1.23394084,
& 1.21783960, 1.19770801, 1.17674363, 1.15228570, 1.12778544,
& 1.10357714, 1.07878339, 1.05338395, 1.02719164, 1.00060153,
& 0.97278589, 0.94501305, 0.91738498, 0.88998175, 0.86317515,
& 0.83752573, 0.80999488, 0.78189069, 0.75425148, 0.72720861,
& 0.70021945, 0.67300582, 0.64650851, 0.62151313, 0.59706151,
& 0.57307357, 0.55058616, 0.52846700, 0.50646114, 0.48545322,
& 0.46565524, 0.44668886, 0.42877817, 0.41157955, 0.39506987,
& 0.37922588, 0.36402419, 0.35186824, 0.34069008, 0.32993704,
& 0.31959191, 0.30963805, 0.30035883, 0.29146108, 0.28288439,
& 0.27461582, 0.26665196, 0.25899169, 0.25160208, 0.24447189,
& 0.23767234, 0.23163033, 0.22579171, 0.22014777, 0.21472745,
& 0.20961125, 0.20465828, 0.19986169, 0.19526058, 0.19083521,
& 0.18654466, 0.18246461, 0.17885970, 0.17535831, 0.17195611,
& 0.16862442, 0.16538107, 0.16222458, 0.15899503, 0.15581037,
& 0.15270871, 0.14973888, 0.14684851, 0.14403814, 0.14132886,
& 0.13868555, 0.13610087, 0.13357413, 0.13110690, 0.12878151,
& 0.12651105, 0.12418008, 0.12183660, 0.11952472, 0.11721121,
& 0.11495440, 0.11281383, 0.11072018, 0.10867617, 0.10667633,
& 0.10477211, 0.10291418, 0.10109536, 0.09931409, 0.09761816,
& 0.09595724, 0.09432944, 0.09273133, 0.09115964, 0.08961877/
data (qq(i,6),i=1,mxwv)/
& 2.05411696, 2.05476093, 2.05542445, 2.05602145, 2.05673957,
& 2.05736589, 2.05815721, 2.05881834, 2.05952716, 2.06018996,
& 2.06094384, 2.06168818, 2.06234145, 2.06310344, 2.06386614,
& 2.06469393, 2.06542754, 2.06618309, 2.06695819, 2.06776166,
& 2.06858897, 2.06941533, 2.07024527, 2.07111263, 2.07197547,
& 2.07282686, 2.07369161, 2.07456946, 2.07545376, 2.07639432,
& 2.07728839, 2.07823086, 2.07916021, 2.08000159, 2.08109283,
& 2.08203435, 2.08302379, 2.08403444, 2.08505797, 2.08608317,
& 2.08717680, 2.08816314, 2.08928466, 2.09025407, 2.09145880,
& 2.09244537, 2.09361911, 2.09477377, 2.09595418, 2.09715438,
& 2.09819961, 2.09934044, 2.10062861, 2.10186815, 2.10311317,
& 2.10433388, 2.10559273, 2.10696149, 2.10810876, 2.10942388,
& 2.11090374, 2.11212969, 2.11371994, 2.11499071, 2.11631060,
& 2.11772799, 2.11924076, 2.12064791, 2.12207150, 2.12361336,
& 2.12504840, 2.12671852, 2.12837768, 2.12970209, 2.13151193,
& 2.13294792, 2.13467789, 2.13643956, 2.13797808, 2.13971138,
& 2.14145851, 2.14318466, 2.14502048, 2.14688516, 2.14867878,
& 2.15072083, 2.15239573, 2.15428305, 2.15624714, 2.15819168,
& 2.16015983, 2.16214848, 2.16418982, 2.16628361, 2.16840315,
& 2.17051125, 2.17272449, 2.17495179, 2.17723060, 2.17938137,
& 2.18178248, 2.18411541, 2.18653321, 2.18895006, 2.19142032,
& 2.19391632, 2.19634652, 2.19869804, 2.20127082, 2.20402932,
& 2.20685768, 2.20969129, 2.21256971, 2.21548724, 2.21845365,
& 2.22147202, 2.22454119, 2.22766376, 2.23084426, 2.23406315,
& 2.23731828, 2.24058032, 2.24386501, 2.24731398, 2.25083137,
& 2.25469613, 2.26597571, 2.29258537, 2.18143511, 2.13118839,
& 2.15849757, 2.18855834, 2.21036124, 2.22608805, 2.23931837,
& 2.25110126, 2.26072168, 2.26951075, 2.27760100, 2.28415132,
& 2.29011202, 2.29568028, 2.30075884, 2.30541325, 2.30978560,
& 2.31392241, 2.31792593, 2.32188511, 2.32587838, 2.32995987,
& 2.33425617, 2.33882332, 2.34377050, 2.34916782, 2.35509562,
& 2.36152601, 2.36842346, 2.37546253, 2.38278770, 2.39101505,
& 2.40057182, 2.41173005, 2.42501092, 2.44101119, 2.46091676,
& 2.48543286, 2.51500559, 2.55087304, 2.59300518, 2.63166356,
& 2.61139894, 2.48055840, 2.40311646, 2.43157744, 2.48926401,
& 2.53388190, 2.57037735, 2.60534668, 2.63847399, 2.66853070,
& 2.69659019, 2.72295141, 2.74690151, 2.76941872, 2.78971767,
& 2.80791521, 2.82277799, 2.83356071, 2.84106755, 2.84384060,
& 2.84131551, 2.83282924, 2.81728816, 2.79389930, 2.76205349,
& 2.72076297, 2.66931129, 2.60717225, 2.53173470, 2.44213629,
& 2.33791590, 2.20967865, 2.08132863, 1.92886686, 1.79913509,
& 1.70239902, 1.63908076, 1.60349882, 1.60286760, 1.62921667,
& 1.66550636, 1.72914433, 1.79113674, 1.85388613, 1.90855753,
& 1.95569682, 2.00122190, 2.04268622, 2.07890534, 2.11233115,
& 2.14328790, 2.16921377, 2.19439626, 2.21748805, 2.23942614,
& 2.25948095, 2.28053308, 2.30108595, 2.32012796, 2.33808374,
& 2.35684037, 2.37357402, 2.39066625, 2.40525365, 2.41938996,
& 2.43496060, 2.44939351, 2.46288323, 2.47371864, 2.48249650,
& 2.48787975, 2.49208951, 2.49613523, 2.50011563, 2.50398088,
& 2.50761199, 2.51184559, 2.51587033, 2.51912761, 2.52113247,
& 2.52276111, 2.52008677, 2.51676702, 2.51152277, 2.50480032,
& 2.49571466, 2.48363519, 2.46916986, 2.45112824, 2.43061233,
& 2.40546346, 2.37728953, 2.34430909, 2.30919838, 2.27173185,
& 2.23384666, 2.19584727, 2.15913296, 2.12301302, 2.08740306,
& 2.05200076, 2.01700735, 1.98404872, 1.95275223, 1.92183030,
& 1.89396334, 1.86962521, 1.85129035, 1.83491778, 1.82013488,
& 1.80899131, 1.80216825, 1.79846919, 1.79589880, 1.79511058,
& 1.79632819, 1.79877126, 1.80216968, 1.80898035, 1.81408882,
& 1.81623924, 1.81686163, 1.81838071, 1.82157373, 1.82323492,
& 1.82032061, 1.81634116, 1.80921245, 1.80132675, 1.79284811,
& 1.78335631, 1.77006781, 1.75547171, 1.73624921, 1.71625805,
& 1.69552636, 1.67367744, 1.65065360, 1.62609124, 1.60038745,
& 1.57227528, 1.54323494, 1.51326966, 1.48253644, 1.45175755,
& 1.42187381, 1.38910294, 1.35464907, 1.31931233, 1.28376579,
& 1.24732709, 1.20954096, 1.17119706, 1.13393533, 1.09659779,
& 1.05911875, 1.02291322, 0.98677623, 0.95014876, 0.91422421,
& 0.87946033, 0.84543943, 0.81223166, 0.77996767, 0.74865896,
& 0.71831310, 0.68893379, 0.66402185, 0.64068013, 0.61813128,
& 0.59636211, 0.57535821, 0.55577022, 0.53695840, 0.51880342,
& 0.50129026, 0.48441535, 0.46817762, 0.45253184, 0.43746081,
& 0.42307484, 0.41003764, 0.39748421, 0.38539773, 0.37382850,
& 0.36291718, 0.35240680, 0.34228238, 0.33259776, 0.32331842,
& 0.31437802, 0.30589294, 0.29827940, 0.29093742, 0.28385562,
& 0.27702653, 0.27043021, 0.26405671, 0.25766641, 0.25142890,
& 0.24539651, 0.23963928, 0.23407461, 0.22870089, 0.22354980,
& 0.21856016, 0.21371973, 0.20902373, 0.20447034, 0.20018937,
& 0.19603764, 0.19184370, 0.18767549, 0.18359342, 0.17954448,
& 0.17561692, 0.17189540, 0.16827704, 0.16476318, 0.16134495,
& 0.15809684, 0.15494408, 0.15187432, 0.14888415, 0.14604434,
& 0.14327748, 0.14057951, 0.13794412, 0.13536531, 0.13284895/
data (qq(i,7),i=1,mxwv)/
& 2.04292679, 2.04345584, 2.04394841, 2.04449677, 2.04498100,
& 2.04555130, 2.04607344, 2.04664254, 2.04707193, 2.04773879,
& 2.04831982, 2.04891729, 2.04947448, 2.05006957, 2.05066252,
& 2.05136728, 2.05188251, 2.05246615, 2.05314517, 2.05378556,
& 2.05458999, 2.05503869, 2.05568361, 2.05637288, 2.05705523,
& 2.05771661, 2.05844760, 2.05907869, 2.05981398, 2.06053400,
& 2.06122065, 2.06193972, 2.06268358, 2.06346512, 2.06412601,
& 2.06501889, 2.06571960, 2.06660628, 2.06734228, 2.06816840,
& 2.06910706, 2.06983709, 2.07069325, 2.07150078, 2.07231116,
& 2.07326126, 2.07406402, 2.07494712, 2.07588601, 2.07678294,
& 2.07762551, 2.07860970, 2.07953358, 2.08056903, 2.08146000,
& 2.08259320, 2.08351636, 2.08446288, 2.08550620, 2.08639598,
& 2.08754086, 2.08863521, 2.08964777, 2.09077358, 2.09197688,
& 2.09304690, 2.09418678, 2.09521651, 2.09642196, 2.09757328,
& 2.09883595, 2.09991646, 2.10112095, 2.10241914, 2.10365915,
& 2.10490036, 2.10601854, 2.10737395, 2.10869360, 2.11008978,
& 2.11148000, 2.11276555, 2.11419702, 2.11561060, 2.11698246,
& 2.11843348, 2.11982489, 2.12152028, 2.12280083, 2.12435079,
& 2.12588573, 2.12740803, 2.12898946, 2.13058972, 2.13220334,
& 2.13388658, 2.13556790, 2.13719106, 2.13896751, 2.14072323,
& 2.14240813, 2.14421701, 2.14604497, 2.14788318, 2.14982080,
& 2.15166569, 2.15351629, 2.15531826, 2.15728188, 2.15936255,
& 2.16149378, 2.16363215, 2.16580367, 2.16800785, 2.17025161,
& 2.17254281, 2.17487764, 2.17727113, 2.17972875, 2.18224859,
& 2.18484569, 2.18752074, 2.19031525, 2.19340110, 2.19677806,
& 2.20011997, 2.20142627, 2.19591856, 2.14499521, 2.11690831,
& 2.13536215, 2.15609050, 2.17118526, 2.18218684, 2.19137931,
& 2.19948387, 2.20612431, 2.21224546, 2.21794057, 2.22267699,
& 2.22710562, 2.23136377, 2.23539996, 2.23923302, 2.24294806,
& 2.24654555, 2.25006080, 2.25352168, 2.25693989, 2.26028681,
& 2.26362133, 2.26688528, 2.27009749, 2.27323484, 2.27631211,
& 2.27934670, 2.28233504, 2.28537798, 2.28885293, 2.29267859,
& 2.29670906, 2.30083036, 2.30511904, 2.30955291, 2.31425476,
& 2.31943583, 2.32553458, 2.33349633, 2.34518576, 2.36308503,
& 2.37687349, 2.33985448, 2.30043578, 2.31498837, 2.33906937,
& 2.35306096, 2.36411214, 2.37522674, 2.38690662, 2.39918685,
& 2.41229367, 2.42645383, 2.44143510, 2.45760489, 2.47487473,
& 2.49348688, 2.51311493, 2.53345180, 2.55460024, 2.57626629,
& 2.59797573, 2.61938453, 2.63957763, 2.65768433, 2.67237854,
& 2.68265247, 2.68690038, 2.68316579, 2.66907382, 2.64075994,
& 2.59540057, 2.52163148, 2.42910123, 2.29360533, 2.15646219,
& 2.03412366, 1.94308162, 1.87650323, 1.84765303, 1.84900343,
& 1.86534834, 1.90745282, 1.95132077, 1.99729753, 2.03795505,
& 2.07271862, 2.10661554, 2.13756537, 2.16495347, 2.19017744,
& 2.21379566, 2.23390079, 2.25330520, 2.27145505, 2.28881383,
& 2.30472827, 2.32141757, 2.33779430, 2.35337687, 2.36817288,
& 2.38364816, 2.39816523, 2.41281939, 2.42630529, 2.43934369,
& 2.45345116, 2.46764350, 2.48141193, 2.49375653, 2.50543261,
& 2.51599813, 2.52488136, 2.53391647, 2.54307127, 2.55232930,
& 2.56169391, 2.57165980, 2.58175254, 2.59211874, 2.60297918,
& 2.61400032, 2.62250805, 2.63096619, 2.63888264, 2.64639163,
& 2.65289927, 2.65800500, 2.66176081, 2.66321921, 2.66313028,
& 2.65991879, 2.65403247, 2.64343381, 2.62985611, 2.61218119,
& 2.59224629, 2.57032895, 2.54737806, 2.52352238, 2.49891210,
& 2.47318935, 2.44611764, 2.41896105, 2.39189434, 2.36444306,
& 2.33778596, 2.31246471, 2.29227257, 2.27408814, 2.25759649,
& 2.24368310, 2.23374009, 2.22726917, 2.22305179, 2.22085643,
& 2.22100616, 2.22294450, 2.22649193, 2.23376918, 2.24171162,
& 2.24785662, 2.25278163, 2.25879288, 2.26679277, 2.27401400,
& 2.27952790, 2.28417325, 2.28622842, 2.28766608, 2.28906918,
& 2.28970218, 2.28828931, 2.28575087, 2.27923036, 2.27171707,
& 2.26284385, 2.25299072, 2.24209833, 2.22974467, 2.21617842,
& 2.20008945, 2.18258739, 2.16349220, 2.14295197, 2.12182307,
& 2.10113215, 2.07785749, 2.05238986, 2.02459455, 1.99560940,
& 1.96481466, 1.93160546, 1.89582396, 1.85961556, 1.82205987,
& 1.78305328, 1.74372792, 1.70350206, 1.66140103, 1.61832249,
& 1.57487011, 1.53076375, 1.48544359, 1.44022238, 1.39517975,
& 1.35039401, 1.30594182, 1.26559842, 1.22653472, 1.18808663,
& 1.15026963, 1.11312151, 1.07805526, 1.04384744, 1.01031101,
& 0.97747111, 0.94536084, 0.91401523, 0.88342518, 0.85360384,
& 0.82474309, 0.79783303, 0.77168643, 0.74630278, 0.72180635,
& 0.69849086, 0.67589438, 0.65400976, 0.63292384, 0.61260086,
& 0.59295690, 0.57419252, 0.55700046, 0.54040283, 0.52438498,
& 0.50907892, 0.49430847, 0.48004684, 0.46595258, 0.45226145,
& 0.43904594, 0.42641178, 0.41423175, 0.40250522, 0.39128989,
& 0.38047075, 0.37003249, 0.35996124, 0.35024542, 0.34111440,
& 0.33230707, 0.32356760, 0.31498984, 0.30665052, 0.29845878,
& 0.29055834, 0.28306866, 0.27583531, 0.26885310, 0.26210791,
& 0.25570986, 0.24954014, 0.24357499, 0.23780654, 0.23234518,
& 0.22706228, 0.22194828, 0.21698979, 0.21217412, 0.20750852/
data (qq(i,8),i=1,mxwv)/
& 2.03409195, 2.03448105, 2.03489804, 2.03530455, 2.03574800,
& 2.03614974, 2.03657389, 2.03700686, 2.03747296, 2.03791094,
& 2.03835917, 2.03877401, 2.03929281, 2.03973341, 2.04024744,
& 2.04067302, 2.04115009, 2.04165006, 2.04214668, 2.04264116,
& 2.04315805, 2.04366279, 2.04417443, 2.04472423, 2.04525638,
& 2.04574156, 2.04634523, 2.04685712, 2.04750466, 2.04800057,
& 2.04852676, 2.04916525, 2.04978752, 2.05033755, 2.05093026,
& 2.05153990, 2.05212212, 2.05279970, 2.05340719, 2.05407929,
& 2.05466604, 2.05531549, 2.05597448, 2.05659604, 2.05730271,
& 2.05805349, 2.05871820, 2.05937719, 2.06012940, 2.06085539,
& 2.06144619, 2.06232929, 2.06298208, 2.06386471, 2.06454563,
& 2.06533241, 2.06608367, 2.06694388, 2.06778264, 2.06849313,
& 2.06926894, 2.07017803, 2.07093024, 2.07186890, 2.07273865,
& 2.07356000, 2.07443881, 2.07538271, 2.07627702, 2.07712650,
& 2.07808161, 2.07902193, 2.07999992, 2.08093429, 2.08202982,
& 2.08285427, 2.08392286, 2.08491611, 2.08603597, 2.08694625,
& 2.08802629, 2.08906388, 2.09014988, 2.09125614, 2.09235644,
& 2.09346247, 2.09453702, 2.09575915, 2.09693122, 2.09810066,
& 2.09927440, 2.10039735, 2.10170078, 2.10293865, 2.10419941,
& 2.10545444, 2.10681272, 2.10808325, 2.10936117, 2.11069441,
& 2.11210871, 2.11342502, 2.11493516, 2.11630774, 2.11775494,
& 2.11921978, 2.12064910, 2.12204456, 2.12355256, 2.12514472,
& 2.12676716, 2.12839437, 2.13004255, 2.13171005, 2.13341022,
& 2.13513088, 2.13689613, 2.13868451, 2.14052343, 2.14239740,
& 2.14431787, 2.14628696, 2.14833307, 2.15057421, 2.15302491,
& 2.15553546, 2.15670848, 2.14728212, 2.11633348, 2.10072613,
& 2.11380601, 2.12835598, 2.13896060, 2.14674926, 2.15321541,
& 2.15885830, 2.16349316, 2.16778779, 2.17179608, 2.17516732,
& 2.17834997, 2.18142986, 2.18436670, 2.18718195, 2.18993378,
& 2.19262481, 2.19528127, 2.19792366, 2.20056152, 2.20317674,
& 2.20581079, 2.20842195, 2.21102190, 2.21358585, 2.21611333,
& 2.21860814, 2.22104883, 2.22349954, 2.22630215, 2.22941303,
& 2.23271680, 2.23610020, 2.23961782, 2.24318075, 2.24674726,
& 2.25020742, 2.25344920, 2.25650620, 2.25912738, 2.26108980,
& 2.26009393, 2.24443913, 2.23007250, 2.24403191, 2.26100516,