# ************************************************ 
#     This table  has been made by using ../../Data/BaseM/ice 
#     with Bremsstrahlung formula: # 1
#     and  Pair creation  formula: # 2.
#     Tue Jan 12 22:47:16 JST 2010 by pts/4 Jan using
#     version uv8.80  
#     host was lhcfw1 
# 
#name   Format    H2O ice
ice 	2
#
#  Elem	 rho(g/cm^3)	Gas/Solid(1/0) refl.index  Birks c

	2         0.918		0         1.33     0 0 0
# 	Z	A  	N
	1	1.008	2
	8	16	1
#  ⟨Z/A⟩   I[eV]   a       k      x0    x1     Cbar  delta0
0.55509  75.0 0.0912  3.4773  0.2586  2.8190    3.5873 0.00
 Excitation (Ionization) potential =  75.00 eV
  radation length=   39.3035562357890      cm   36.0806646244543      g/cm^2
  <Aeff>=   14.3223872113677      <Zeff=>   7.24353372731127      <Z2/A>=    3.66341030195382
  plasma energy=  2.056960014584285E-008 GeV no density=  9.205686318716697E+022 /cm^3
  <Z2eff=>   52.4687808586960       <Z/A>=  0.555090000000000     
 Migdal s1=  1.117887615752544E-004
  Conversion factors:
  g/cm^2 to cm=   1.08932461873638     
  mb to /(g/cm2)=  1.002798073934281E-004 mb to /cm=  9.205686318716698E-005 mb to /X0=  3.618162099167151E-003
  If a comound is specified as an Atom, use the
  following instead:   4.204701779896184E-005  3.859916233944697E-005  1.517084347662803E-003
  pi x Re**2 * N* Z /A *X0g  = 0.15 Z/A*X0g=   3.00886139314626     
  media.A, Z, Z^2=   6.00533333333333        3.33333333333333        22.0000000000000
 
  **** Sternheimers consts
  a, b, c =  8.522630201920867E-002   17.6532735112991       -3.58730000000000
  x0, x1 =  0.258600000000000        2.81900000000000     
  sa=  9.120000000000000E-002
  minimum dEdx_restricted= NaN                     GeV/(g/cm^2)  with Tcut=  1.000000000000000E-004 GeV
 
  **** photoelectric consts
 b0, b1, b2=  0.420387122756792        1.76799601967414        1.82216071158457
 fa, a, p=   1.08224933415380       5.102864245803217E-004  1.117793544986158E-004
 l, ek=   7.77363957102152       7.135754196782650E-007
 
#-#-#-#-#-#-#-#-#-#-#-#-
  constant for Seltzer Brems sampling table 
  7.110000000000000E-004  1.000000000000000E-005  -3.14813039927023       0.100000000000000       0.100000000000000        1.00000000000000               42  2.250000000000000E-002  5.239342437244473E-002  5.239342437244473E-002  0.000000000000000E+000  0.562341325190349       1.405853312975873E-002          42          41          41
 
 ice     
 Seltzer Brems total X-sec. table upto E=  0.100000000000000      GeV
  7.1100000E-04   3.534923    
  8.0216373E-04   3.404457    
  9.0501638E-04   3.402679    
  1.0210568E-03   3.485378    
  1.1519756E-03   3.623542    
  1.2996809E-03   3.804708    
  1.4663247E-03   4.010113    
  1.6543354E-03   4.231194    
  1.8664527E-03   4.471064    
  2.1057676E-03   4.723776    
  2.3757671E-03   4.991012    
  2.6803855E-03   5.265749    
  3.0240619E-03   5.545748    
  3.4118043E-03   5.821746    
  3.8492626E-03   6.099203    
  4.3428112E-03   6.369710    
  4.8996424E-03   6.640873    
  5.5278698E-03   6.918199    
  6.2366482E-03   7.193193    
  7.0363050E-03   7.465055    
  7.9384930E-03   7.733559    
  8.9563597E-03   7.995904    
  1.0104735E-02   8.256424    
  1.1400355E-02   8.477839    
  1.2862097E-02   8.732064    
  1.4511263E-02   8.977888    
  1.6371883E-02   9.218078    
  1.8471070E-02   9.460135    
  2.0839414E-02   9.693499    
  2.3511423E-02   9.930718    
  2.6526034E-02   10.16303    
  2.9927177E-02   10.38656    
  3.3764411E-02   10.61127    
  3.8093653E-02   10.83176    
  4.2977981E-02   11.04766    
  4.8488580E-02   11.26298    
  5.4705739E-02   11.47216    
  6.1720055E-02   11.67309    
  6.9633737E-02   11.87337    
  7.8562111E-02   12.06956    
  8.8635273E-02   12.26467    
  0.1000000       11.42444    
 
 Selzter Brems sampling table; log(v/vmin)/(1-u)
    2.53925    2.48931    2.44553    2.40656    2.37156    2.33979    2.31084
    2.28424    2.25963    2.23682    2.21562    2.19577    2.17720    2.15971
    2.14326    2.12771    2.11304    2.09914    2.08593    2.07334    2.06135
    2.04990    2.03900    2.02858    2.01861    2.00909    1.99999    1.99127
    1.98289    1.97484    1.96711    1.95974    1.95263    1.94577    1.93921
    1.93287    1.92682    1.92090    1.91538    1.90965    1.90454
 
    2.80751    2.75076    2.70142    2.65777    2.61880    2.58350    2.55143
    2.52217    2.49525    2.47041    2.44735    2.42590    2.40591    2.38722
    2.36961    2.35304    2.33741    2.32263    2.30868    2.29546    2.28294
    2.27103    2.25963    2.24878    2.23842    2.22853    2.21909    2.21002
    2.20143    2.19314    2.18526    2.17764    2.17037    2.16337    2.15669
    2.15018    2.14403    2.13794    2.13241    2.12654    2.12141
 
    3.02608    2.96472    2.91159    2.86494    2.82332    2.78611    2.75246
    2.72181    2.69368    2.66779    2.64386    2.62160    2.60080    2.58135
    2.56311    2.54602    2.52993    2.51473    2.50028    2.48652    2.47339
    2.46097    2.44912    2.43781    2.42707    2.41690    2.40716    2.39782
    2.38895    2.38040    2.37230    2.36449    2.35704    2.34995    2.34304
    2.33656    2.33021    2.32427    2.31852    2.31303    2.30753
 
    3.21704    3.15211    3.09627    3.04730    3.00409    2.96542    2.93050
    2.89868    2.86960    2.84285    2.81810    2.79510    2.77372    2.75382
    2.73520    2.71758    2.70082    2.68490    2.66987    2.65562    2.64203
    2.62923    2.61709    2.60554    2.59456    2.58415    2.57422    2.56474
    2.55571    2.54712    2.53895    2.53112    2.52368    2.51657    2.50975
    2.50325    2.49698    2.49099    2.48546    2.48000    2.47449
 
    3.39165    3.32400    3.26588    3.21527    3.17051    3.13048    3.09438
    3.06162    3.03173    3.00422    2.97889    2.95549    2.93380    2.91338
    2.89401    2.87564    2.85837    2.84202    2.82652    2.81201    2.79829
    2.78526    2.77293    2.76125    2.75021    2.73973    2.72979    2.72036
    2.71138    2.70283    2.69476    2.68701    2.67963    2.67260    2.66590
    2.65952    2.65350    2.64765    2.64204    2.63637    2.63155
 
    3.55662    3.48613    3.42561    3.37289    3.32642    3.28499    3.24788
    3.21437    3.18390    3.15609    3.13059    3.10706    3.08487    3.06399
    3.04424    3.02581    3.00828    2.99195    2.97665    2.96215    2.94853
    2.93567    2.92355    2.91210    2.90130    2.89110    2.88141    2.87228
    2.86355    2.85531    2.84756    2.84012    2.83303    2.82635    2.81995
    2.81383    2.80810    2.80239    2.79730    2.79208    2.78732
 
    3.71607    3.64345    3.58123    3.52708    3.47943    3.43716    3.39936
    3.36532    3.33444    3.30635    3.28052    3.25623    3.23338    3.21195
    3.19188    3.17298    3.15547    3.13901    3.12355    3.10903    3.09541
    3.08262    3.07060    3.05926    3.04856    3.03848    3.02898    3.01999
    3.01147    3.00346    2.99585    2.98860    2.98176    2.97521    2.96904
    2.96317    2.95764    2.95221    2.94706    2.94220    2.93775
 
    3.87231    3.79836    3.73509    3.68011    3.63183    3.58898    3.55072
    3.51631    3.48515    3.45674    3.43053    3.40615    3.38342    3.36219
    3.34231    3.32374    3.30631    3.28995    3.27460    3.26015    3.24657
    3.23376    3.22173    3.21037    3.19963    3.18951    3.17993    3.17089
    3.16232    3.15424    3.14652    3.13928    3.13232    3.12574    3.11956
    3.11364    3.10799    3.10269    3.09753    3.09236    3.08808
 
    4.02531    3.95038    3.88637    3.83073    3.78175    3.73827    3.69939
    3.66442    3.63273    3.60370    3.57679    3.55170    3.52838    3.50655
    3.48625    3.46724    3.44945    3.43280    3.41717    3.40255    3.38879
    3.37589    3.36376    3.35233    3.34160    3.33147    3.32193    3.31295
    3.30442    3.29637    3.28881    3.28163    3.27485    3.26842    3.26230
    3.25654    3.25103    3.24567    3.24083    3.23590    3.23165
 
    4.17743    4.10188    4.03734    3.98113    3.93153    3.88742    3.84796
    3.81243    3.78017    3.75038    3.72274    3.69710    3.67313    3.65089
    3.63014    3.61078    3.59270    3.57581    3.56002    3.54524    3.53141
    3.51845    3.50633    3.49491    3.48421    3.47414    3.46468    3.45577
    3.44738    3.43946    3.43200    3.42496    3.41828    3.41197    3.40609
    3.40046    3.39513    3.39001    3.38531    3.38069    3.37644
 
    4.32568    4.24905    4.18364    4.12671    4.07653    4.03206    3.99236
    3.95666    3.92414    3.89406    3.86621    3.84032    3.81632    3.79402
    3.77326    3.75397    3.73598    3.71922    3.70360    3.68903    3.67542
    3.66270    3.65080    3.63963    3.62920    3.61939    3.61020    3.60156
    3.59346    3.58582    3.57862    3.57190    3.56549    3.55950    3.55385
    3.54843    3.54347    3.53853    3.53415    3.53006    3.52577
 
    4.47302    4.39550    4.32941    4.27194    4.22144    4.17680    4.13705
    4.10130    4.06858    4.03836    4.01047    3.98451    3.96057    3.93834
    3.91768    3.89853    3.88075    3.86419    3.84882    3.83451    3.82116
    3.80870    3.79710    3.78625    3.77610    3.76662    3.75776    3.74944
    3.74162    3.73432    3.72741    3.72096    3.71488    3.70914    3.70375
    3.69866    3.69397    3.68935    3.68510    3.68101    3.67735
 
    4.61927    4.54142    4.47503    4.41733    4.36663    4.32183    4.28187
    4.24586    4.21277    4.18219    4.15388    4.12774    4.10359    4.08122
    4.06049    4.04130    4.02352    4.00703    3.99172    3.97753    3.96431
    3.95201    3.94056    3.92990    3.91998    3.91068    3.90203    3.89391
    3.88630    3.87920    3.87258    3.86635    3.86051    3.85493    3.84982
    3.84499    3.84045    3.83603    3.83211    3.82811    3.82466
 
    4.76638    4.68872    4.62244    4.56476    4.51406    4.46907    4.42887
    4.39242    4.35877    4.32774    4.29894    4.27246    4.24793    4.22528
    4.20437    4.18503    4.16716    4.15063    4.13532    4.12112    4.10797
    4.09576    4.08444    4.07390    4.06409    4.05497    4.04644    4.03850
    4.03110    4.02416    4.01771    4.01164    4.00600    4.00063    3.99573
    3.99107    3.98671    3.98259    3.97869    3.97526    3.97162
 
    4.91260    4.83549    4.76969    4.71245    4.66203    4.61719    4.57701
    4.54032    4.50637    4.47504    4.44600    4.41926    4.39457    4.37179
    4.35078    4.33139    4.31352    4.29703    4.28179    4.26770    4.25467
    4.24257    4.23139    4.22102    4.21138    4.20245    4.19414    4.18639
    4.17919    4.17247    4.16619    4.16034    4.15487    4.14979    4.14506
    4.14049    4.13636    4.13251    4.12879    4.12513    4.12207
 
    5.05863    4.98253    4.91776    4.86147    4.81183    4.76761    4.72781
    4.69126    4.65737    4.62598    4.59695    4.57019    4.54547    4.52274
    4.50179    4.48249    4.46473    4.44835    4.43325    4.41936    4.40649
    4.39463    4.38366    4.37349    4.36408    4.35536    4.34728    4.33978
    4.33279    4.32632    4.32028    4.31466    4.30943    4.30448    4.29995
    4.29577    4.29175    4.28798    4.28474    4.28111    4.27828
 
    5.20381    5.12854    5.06457    5.00895    4.95985    4.91597    4.87634
    4.83977    4.80569    4.77409    4.74493    4.71795    4.69313    4.67030
    4.64929    4.62999    4.61225    4.59593    4.58094    4.56714    4.55440
    4.54271    4.53189    4.52191    4.51267    4.50416    4.49625    4.48894
    4.48218    4.47586    4.47005    4.46464    4.45961    4.45487    4.45053
    4.44645    4.44265    4.43911    4.43580    4.43253    4.42991
 
    5.34715    5.27193    5.20792    5.15218    5.10283    5.05864    5.01854
    4.98126    4.94660    4.91429    4.88455    4.85710    4.83186    4.80867
    4.78741    4.76792    4.75004    4.73365    4.71862    4.70479    4.69210
    4.68043    4.66970    4.65980    4.65071    4.64228    4.63453    4.62739
    4.62072    4.61458    4.60890    4.60364    4.59879    4.59419    4.59008
    4.58604    4.58242    4.57911    4.57598    4.57309    4.57024
 
    5.49002    5.41507    5.35120    5.29550    5.24609    5.20173    5.16128
    5.12345    5.08819    5.05537    5.02510    4.99718    4.97154    4.94807
    4.92656    4.90688    4.88890    4.87244    4.85739    4.84358    4.83090
    4.81933    4.80867    4.79890    4.78988    4.78159    4.77399    4.76693
    4.76044    4.75448    4.74897    4.74381    4.73912    4.73474    4.73071
    4.72692    4.72343    4.72008    4.71720    4.71421    4.71171
 
    5.63227    5.55761    5.49387    5.43820    5.38871    5.34421    5.30335
    5.26496    5.22907    5.19569    5.16486    5.13648    5.11045    5.08664
    5.06489    5.04505    5.02694    5.01042    4.99531    4.98151    4.96891
    4.95738    4.94678    4.93711    4.92822    4.92008    4.91260    4.90568
    4.89937    4.89350    4.88811    4.88315    4.87858    4.87429    4.87044
    4.86677    4.86353    4.86030    4.85765    4.85452    4.85230
 
    5.77388    5.69950    5.63591    5.58028    5.53074    5.48609    5.44484
    5.40589    5.36931    5.33539    5.30399    5.27511    5.24872    5.22459
    5.20264    5.18262    5.16440    5.14782    5.13272    5.11895    5.10637
    5.09493    5.08443    5.07488    5.06614    5.05808    5.05076    5.04399
    5.03780    5.03214    5.02689    5.02205    5.01766    5.01358    5.00981
    5.00625    5.00312    5.00019    4.99734    4.99463    4.99244
 
    5.91478    5.84064    5.77719    5.72157    5.67199    5.62720    5.58550
    5.54597    5.50872    5.47420    5.44226    5.41294    5.38617    5.36178
    5.33959    5.31947    5.30116    5.28453    5.26946    5.25572    5.24324
    5.23187    5.22151    5.21209    5.20347    5.19556    5.18840    5.18181
    5.17576    5.17022    5.16514    5.16049    5.15623    5.15228    5.14858
    5.14530    5.14227    5.13946    5.13671    5.13443    5.13209
 
    6.05503    5.98115    5.91778    5.86218    5.81251    5.76754    5.72535
    5.68519    5.64728    5.61215    5.57970    5.54996    5.52287    5.49825
    5.47591    5.45570    5.43736    5.42076    5.40572    5.39208    5.37969
    5.36848    5.35825    5.34895    5.34052    5.33278    5.32577    5.31934
    5.31350    5.30812    5.30318    5.29868    5.29459    5.29079    5.28733
    5.28420    5.28112    5.27842    5.27589    5.27341    5.27158
 
    6.19913    6.12627    6.06364    6.00884    5.96015    5.91597    5.87506
    5.83670    5.80048    5.76633    5.73422    5.70415    5.67620    5.65029
    5.62638    5.60440    5.58424    5.56582    5.54894    5.53357    5.51951
    5.50670    5.49498    5.48434    5.47459    5.46571    5.45758    5.45017
    5.44341    5.43720    5.43149    5.42634    5.42153    5.41717    5.41319
    5.40953    5.40618    5.40302    5.40011    5.39784    5.39508
 
    6.33843    6.26581    6.20330    6.14850    6.09974    6.05534    6.01404
    5.97517    5.93838    5.90358    5.87088    5.84026    5.81184    5.78554
    5.76133    5.73916    5.71886    5.70034    5.68347    5.66808    5.65409
    5.64137    5.62978    5.61924    5.60966    5.60091    5.59300    5.58573
    5.57914    5.57312    5.56762    5.56260    5.55797    5.55378    5.54996
    5.54638    5.54325    5.54013    5.53758    5.53499    5.53268
 
    6.47626    6.40374    6.34119    6.28634    6.23739    6.19266    6.15093
    6.11149    6.07409    6.03871    6.00545    5.97439    5.94558    5.91901
    5.89464    5.87237    5.85205    5.83357    5.81675    5.80150    5.78769
    5.77513    5.76372    5.75338    5.74401    5.73551    5.72777    5.72073
    5.71434    5.70857    5.70324    5.69841    5.69399    5.68998    5.68636
    5.68303    5.67996    5.67708    5.67442    5.67216    5.67000
 
    6.61306    6.54057    6.47794    6.42290    6.37370    6.32860    6.28634
    6.24629    6.20826    6.17231    6.13856    6.10709    6.07799    6.05127
    6.02681    6.00452    5.98426    5.96586    5.94925    5.93416    5.92054
    5.90822    5.89705    5.88697    5.87782    5.86957    5.86206    5.85527
    5.84915    5.84352    5.83845    5.83382    5.82968    5.82581    5.82232
    5.81909    5.81624    5.81359    5.81130    5.80867    5.80696
 
    6.74977    6.67729    6.61457    6.55939    6.50994    6.46440    6.42161
    6.38092    6.34226    6.30568    6.27140    6.23952    6.21014    6.18320
    6.15864    6.13632    6.11612    6.09785    6.08134    6.06643    6.05300
    6.04089    6.02998    6.02013    6.01120    6.00317    5.99591    5.98934
    5.98344    5.97804    5.97316    5.96876    5.96477    5.96110    5.95782
    5.95485    5.95205    5.94963    5.94719    5.94484    5.94329
 
    6.88469    6.81208    6.74913    6.69366    6.64383    6.59782    6.55437
    6.51304    6.47372    6.43659    6.40184    6.36964    6.34004    6.31299
    6.28843    6.26621    6.24612    6.22805    6.21175    6.19710    6.18393
    6.17206    6.16143    6.15181    6.14321    6.13541    6.12841    6.12207
    6.11642    6.11126    6.10661    6.10239    6.09860    6.09515    6.09197
    6.08921    6.08658    6.08433    6.08218    6.08006    6.07838
 
    7.02030    6.94762    6.88449    6.82880    6.77861    6.73209    6.68804
    6.64599    6.60601    6.56826    6.53302    6.50047    6.47062    6.44347
    6.41886    6.39668    6.37670    6.35876    6.34267    6.32822    6.31527
    6.30366    6.29325    6.28391    6.27555    6.26803    6.26125    6.25515
    6.24968    6.24476    6.24032    6.23628    6.23265    6.22941    6.22645
    6.22377    6.22135    6.21908    6.21696    6.21507    6.21360
 
    7.15463    7.08178    7.01839    6.96239    6.91179    6.86469    6.81995
    6.77720    6.73652    6.69819    6.66250    6.62961    6.59958    6.57235
    6.54777    6.52568    6.50585    6.48808    6.47222    6.45801    6.44533
    6.43398    6.42384    6.41476    6.40660    6.39933    6.39283    6.38693
    6.38168    6.37695    6.37275    6.36891    6.36548    6.36233    6.35953
    6.35700    6.35473    6.35258    6.35070    6.34898    6.34752
 
    7.28667    7.21348    7.14965    7.09321    7.04208    6.99435    6.94886
    6.90537    6.86400    6.82514    6.78904    6.75593    6.72579    6.69856
    6.67406    6.65210    6.63248    6.61499    6.59936    6.58545    6.57304
    6.56197    6.55212    6.54333    6.53544    6.52843    6.52218    6.51656
    6.51154    6.50699    6.50295    6.49934    6.49607    6.49314    6.49048
    6.48813    6.48588    6.48396    6.48218    6.48046    6.47922
 
    7.41935    7.34584    7.28167    7.22483    7.17321    7.12485    7.07865
    7.03443    6.99241    6.95302    6.91660    6.88325    6.85304    6.82580
    6.80144    6.77966    6.76026    6.74301    6.72766    6.71404    6.70192
    6.69114    6.68156    6.67302    6.66542    6.65866    6.65264    6.64728
    6.64248    6.63814    6.63434    6.63086    6.62779    6.62501    6.62250
    6.62024    6.61831    6.61649    6.61490    6.61328    6.61196
 
    7.55109    7.47725    7.41268    7.35546    7.30333    7.25432    7.20742
    7.16249    7.11992    7.08007    7.04335    7.00987    6.97966    6.95252
    6.92833    6.90678    6.88764    6.87069    6.85562    6.84229    6.83051
    6.82002    6.81075    6.80251    6.79518    6.78868    6.78291    6.77777
    6.77315    6.76909    6.76542    6.76216    6.75923    6.75662    6.75427
    6.75220    6.75019    6.74868    6.74698    6.74542    6.74443
 
    7.68163    7.60741    7.54245    7.48482    7.43218    7.38254    7.33497
    7.28942    7.24634    7.20615    7.16924    7.13573    7.10558    7.07864
    7.05467    7.03340    7.01460    6.99795    6.98327    6.97026    6.95877
    6.94862    6.93968    6.93170    6.92469    6.91847    6.91291    6.90801
    6.90362    6.89975    6.89630    6.89320    6.89049    6.88798    6.88581
    6.88385    6.88217    6.88051    6.87898    6.87746    6.87664
 
    7.81177    7.73721    7.67191    7.61394    7.56088    7.51067    7.46252
    7.41646    7.37296    7.33255    7.29555    7.26209    7.23210    7.20541
    7.18173    7.16081    7.14235    7.12610    7.11174    7.09911    7.08797
    7.07817    7.06954    7.06188    7.05512    7.04920    7.04388    7.03923
    7.03506    7.03139    7.02811    7.02526    7.02265    7.02033    7.01825
    7.01647    7.01479    7.01330    7.01201    7.01062    7.00977
 
    7.94156    7.86668    7.80111    7.74284    7.68939    7.63870    7.59002
    7.54351    7.49972    7.45916    7.42220    7.38889    7.35916    7.33277
    7.30946    7.28894    7.27086    7.25499    7.24103    7.22879    7.21801
    7.20858    7.20026    7.19290    7.18645    7.18075    7.17573    7.17131
    7.16737    7.16392    7.16083    7.15811    7.15566    7.15354    7.15163
    7.14994    7.14834    7.14709    7.14583    7.14464    7.14372
 
    8.07155    7.99647    7.93067    7.87217    7.81835    7.76724    7.71812
    7.67127    7.62728    7.58670    7.54982    7.51675    7.48732    7.46130
    7.43840    7.41828    7.40064    7.38520    7.37167    7.35981    7.34942
    7.34030    7.33230    7.32528    7.31913    7.31374    7.30892    7.30476
    7.30105    7.29773    7.29487    7.29232    7.29001    7.28803    7.28623
    7.28464    7.28328    7.28189    7.28076    7.27964    7.27895
 
    8.20127    8.12597    8.05999    8.00127    7.94716    7.89564    7.84616
    7.79904    7.75492    7.71437    7.67769    7.64488    7.61582    7.59022
    7.56776    7.54809    7.53086    7.51585    7.50274    7.49129    7.48125
    7.47252    7.46486    7.45813    7.45229    7.44711    7.44258    7.43863
    7.43512    7.43206    7.42936    7.42695    7.42484    7.42298    7.42126
    7.41982    7.41848    7.41724    7.41628    7.41551    7.41455
 
    8.32987    8.25440    8.18827    8.12940    8.07501    8.02318    7.97341
    7.92614    7.88203    7.84164    7.80524    7.77282    7.74422    7.71909
    7.69709    7.67793    7.66120    7.64663    7.63395    7.62292    7.61329
    7.60490    7.59761    7.59119    7.58564    7.58074    7.57643    7.57272
    7.56940    7.56652    7.56400    7.56178    7.55974    7.55804    7.55653
    7.55518    7.55389    7.55283    7.55176    7.55088    7.55030
 
    8.45819    8.38256    8.31633    8.25733    8.20270    8.15060    8.10060
    8.05320    8.00916    7.96897    7.93291    7.90093    7.87278    7.84814
    7.82667    7.80798    7.79176    7.77766    7.76540    7.75478    7.74557
    7.73753    7.73052    7.72443    7.71914    7.71451    7.71050    7.70696
    7.70386    7.70112    7.69876    7.69669    7.69484    7.69326    7.69180
    7.69056    7.68946    7.68834    7.68748    7.68697    7.68612
 
    8.71075    8.65946    8.61848    8.58539    8.55844    8.53630    8.51801
    8.50285    8.49019    8.47960    8.47070    8.46322    8.45691    8.45160
    8.44707    8.44325    8.43998    8.43721    8.43488    8.43285    8.43114
    8.42968    8.42843    8.42734    8.42643    8.42562    8.42493    8.42434
    8.42382    8.42342    8.42305    8.42274    8.42240    8.42215    8.42197
    8.42181    8.42159    8.42135    8.42145    8.42099    7.17233
 
 
 Seltzer Brems sampling tbl in B; log(v/vmin)
   17.61874   18.84461   17.57630   17.62799   17.61098   17.59835   17.50835
   17.56758   17.50394   17.40823   17.30876   17.18915   17.02049   16.81523
   16.57189   16.28946   15.95828   15.59405   15.19906   14.77804   14.34118
   13.89516   13.44302   12.99288   12.54802   12.11222   11.68728   11.27530
   10.87697   10.49219   10.12135    9.76380    9.41906    9.08706    8.76735
    8.45980    8.16459    7.88167    7.61063    7.35164    7.10403
 
   28.02134   27.99600   27.99620   27.99681   27.99801   27.94810   27.89025
   27.70828   27.53251   27.28984   26.91489   26.47587   25.94198   25.31793
   24.61091   23.82491   22.99616   22.14328   21.27341   20.40749   19.55486
   18.72521   17.92163   17.15092   16.41310   15.70914   15.04000   14.40199
   13.79517   13.21684   12.66454   12.13815   11.63641   11.15946   10.70632
   10.27667    9.86938    9.48389    9.11897    8.77327    8.44547
 
   40.07917   40.15315   40.15356   40.04466   40.00626   39.88055   39.65878
   39.25922   38.87911   38.19189   37.32377   36.27397   35.07065   33.76542
   32.37516   30.95009   29.51298   28.09891   26.72705   25.40436   24.13941
   22.93709   21.79947   20.72518   19.71115   18.75654   17.85599   17.00614
   16.20271   15.44451   14.72835   14.05354   13.41755   12.81860   12.25529
   11.72511   11.22594   10.75635   10.31381    9.89676    9.50330
 
   53.92019   55.35069   53.85546   53.83928   53.73369   53.46500   53.13552
   52.23264   51.17230   49.81662   48.14170   46.22809   44.12862   41.93445
   39.74195   37.58217   35.49379   33.50192   31.62044   29.84911   28.18665
   26.63231   25.17767   23.81877   22.54718   21.35608   20.23966   19.19348
   18.21314   17.29601   16.43833   15.63576   14.88501   14.18301   13.52602
   12.91132   12.33522   11.79548   11.28884   10.81330   10.36590
 
   69.29311   70.59754   69.28445   69.15610   68.90838   68.38192   67.57298
   66.06212   64.16805   61.71349   58.87434   55.81075   52.62694   49.46604
   46.41127   43.50653   40.78330   38.24365   35.88511   33.69528   31.67090
   29.79386   28.05224   26.43130   24.92222   23.51790   22.21204   20.99725
   19.86784   18.81788   17.84197   16.93427   16.08926   15.30253   14.56971
   13.88559   13.24731   12.65058   12.09243   11.56931   11.07918
 
   85.12694   85.87245   85.12103   84.91283   84.44343   83.51752   81.83249
   79.64707   76.46252   72.70537   68.55008   64.24729   59.95848   55.86234
   52.01093   48.43942   45.15547   42.14149   39.37167   36.83438   34.49874
   32.34678   30.35585   28.51486   26.81023   25.23319   23.77360   22.42485
   21.17675   20.02242   18.95428   17.96511   17.04780   16.19657   15.40570
   14.66967   13.98405   13.34492   12.74785   12.19016   11.66822
 
  100.96023  101.16394  100.78906  100.57803   99.84529   98.36834   95.96289
   92.36225   87.68168   82.43448   76.89040   71.34359   66.02099   61.07443
   56.51336   52.38223   48.62863   45.22344   42.11703   39.28374   36.68894
   34.30428   32.11115   30.09261   28.23557   26.52784   24.95532   23.50910
   22.17619   20.94814   19.81445   18.76761   17.79883   16.90147   16.06875
   15.29519   14.57527   13.90474   13.27960   12.69618   12.15012
 
  116.52952  116.46531  116.46878  115.99390  114.86918  112.63484  108.91845
  103.95968   97.67550   90.80280   83.82766   77.13118   70.87297   65.15735
   60.02007   55.41148   51.27352   47.54468   44.17241   41.10262   38.29703
   35.73233   33.38475   31.23741   29.27297   27.47460   25.82565   24.31344
   22.92441   21.64692   20.46988   19.38429   18.38030   17.45118   16.58969
   15.78970   15.04567   14.35286   13.70711   13.10423   12.54031
 
  131.51708  131.77242  131.39818  130.78059  129.15367  125.98510  121.13318
  114.18389  106.29120   97.83126   89.53005   81.75058   74.66966   68.31960
   62.68585   57.69111   53.24071   49.25640   45.66175   42.40298   39.43654
   36.74078   34.28496   32.05002   30.01354   28.15712   26.46054   24.90786
   23.48395   22.17604   20.97216   19.86222   18.83641   17.88656   17.00604
   16.18825   15.42780   14.71936   14.05898   13.44221   12.86528
 
  144.38852  144.04994  144.24481  143.39757  141.24722  137.07243  130.75409
  122.35551  112.74693  102.97080   93.55825   84.92799   77.19852   70.37932
   64.38568   59.11064   54.43280   50.26793   46.52430   43.14205   40.08024
   37.30734   34.79511   32.51661   30.44939   28.56778   26.85187   25.28394
   23.84763   22.52876   21.31449   20.19421   19.15937   18.20078   17.31151
   16.48531   15.71631   14.99996   14.33142   13.70658   13.12221
 
  157.96441  159.35860  157.65754  156.57373  153.72900  148.36475  140.47034
  130.08701  118.94016  107.70348   97.15868   87.67556   79.34495   72.04832
   65.71050   60.18889   55.31108   50.98408   47.12011   43.64665   40.51938
   37.70258   35.15704   32.85693   30.77075   28.87542   27.14926   25.57264
   24.12870   22.80353   21.58383   20.45916   19.41943   18.45666   17.56337
   16.73298   15.96017   15.24005   14.56798   13.93978   13.35203
 
  170.46811  171.63008  170.11863  168.58464  164.93747  158.26142  148.60739
  136.47391  123.67255  111.16187   99.72333   89.55153   80.70242   73.05939
   66.46188   60.73638   55.71124   51.27612   47.33176   43.81322   40.66481
   37.83686   35.29135   32.99314   30.91213   29.02245   27.30183   25.73028
   24.29146   22.97052   21.75472   20.63349   19.59668   18.63628   17.74486
   16.91612   16.14469   15.42566   14.75440   14.12673   13.53907
 
  183.41675  183.89732  182.76601  180.81687  176.17728  167.85573  155.99218
  142.12505  127.68275  114.04626  101.71188   90.95077   81.68302   73.72578
   66.89354   60.99280   55.84283   51.31816   47.32833   43.78725   40.63264
   37.81404   35.28262   33.00190   30.94065   29.06905   27.36550   25.80883
   24.38350   23.07460   21.86938   20.75645   19.72687   18.77199   17.88530
   17.06056   16.29223   15.57553   14.90612   14.27990   13.69316
 
  194.95921  196.16057  193.88924  191.50565  185.71275  175.59767  161.87669
  145.98463  130.25635  115.67169  102.75381   91.56676   81.97553   73.80798
   66.81731   60.79205   55.55954   51.00034   46.99593   43.46797   40.34089
   37.55852   35.06818   32.82936   30.80613   28.97163   27.30040   25.77330
   24.37333   23.08613   21.89895   20.80235   19.78584   18.84245   17.96550
   17.14844   16.38660   15.67536   15.01035   14.38778   13.80407
 
  206.59741  205.37741  205.19803  202.03939  194.82657  182.72862  166.85924
  149.19020  132.06020  116.63413  103.20110   91.69394   81.90228   73.59556
   66.48993   60.39187   55.11523   50.54108   46.54651   43.04460   39.95378
   37.21373   34.76716   32.57240   30.59394   28.79962   27.16592   25.67247
   24.30313   23.04295   21.88004   20.80374   19.80543   18.87722   18.01291
   17.20668   16.45359   15.74940   15.09023   14.47231   13.89275
 
  217.97366  217.63216  215.93195  211.92965  203.09035  188.91200  170.77731
  151.32818  132.94782  116.84244  102.99419   91.29192   81.41596   73.02673
   65.88630   59.76553   54.49551   49.93400   45.97131   42.50712   39.46074
   36.76897   34.37244   32.22803   30.29672   28.54681   26.95587   25.50184
   24.16771   22.94059   21.80723   20.75725   19.78190   18.87336   18.02591
   17.23358   16.49195   15.79675   15.14459   14.53262   13.95745
 
  229.23456  229.88374  226.85207  221.47703  210.56319  194.03020  173.87606
  152.69421  133.28440  116.58478  102.47987   90.62470   80.66509   72.25103
   65.09712   58.98988   53.74164   49.22591   45.30768   41.89799   38.90897
   36.27348   33.93530   31.84351   29.96295   28.26165   26.71439   25.30089
   24.00389   22.80930   21.70596   20.68298   19.73100   18.84307   18.01346
   17.23631   16.50759   15.82319   15.18023   14.57595   14.00751
 
  240.72843  239.08659  237.76857  231.02028  217.41165  198.13171  175.87713
  153.46483  133.36550  116.22574  101.81886   89.85615   79.82268   71.36654
   64.19545   58.11262   52.92094   48.46496   44.61302   41.26968   38.34878
   35.77699   33.49878   31.46649   29.63771   27.98458   26.48053   25.10554
   23.84274   22.67902   21.60186   20.60250   19.67135   18.80247   17.98926
   17.22706   16.51194   15.84006   15.20838   14.61442   14.05538
 
  252.17031  251.33153  248.68171  240.07060  223.49292  201.41207  177.17698
  153.69120  132.83812  115.36548  100.82781   88.78042   78.74358   70.28186
   63.16506   57.14506   52.01796   47.63433   43.86262   40.59311   37.74151
   35.23739   33.02281   31.04758   29.27329   27.66989   26.21166   24.87687
   23.65065   22.51939   21.47201   20.49797   19.59041   18.74188   17.94722
   17.20156   16.50142   15.84285   15.22319   14.64005   14.09107
 
  263.47740  263.57386  259.40129  248.55276  228.68784  203.76397  177.72414
  153.18253  131.87820  114.17399   99.57908   87.50097   77.46284   69.07799
   62.02498   56.08607   51.05617   46.75727   43.06741   39.87714   37.09942
   34.66481   32.51583   30.60110   28.88301   27.32997   25.91752   24.62557
   23.43685   22.33962   21.32243   20.37604   19.49245   18.66582   17.89104
   17.16311   16.47875   15.83445   15.22786   14.65647   14.11806
 
  274.64242  272.76605  269.92749  256.46678  233.02024  205.25598  177.55196
  152.12035  130.49657  112.65823   98.07739   86.02117   76.05918   67.75674
   60.80761   54.97597   50.03642   45.83928   42.23942   39.13150   36.43300
   34.07204   31.98850   30.13454   28.47321   26.97126   25.60630   24.35639
   23.20683   22.14449   21.15832   20.24038   19.38232   18.57855   17.82391
   17.11454   16.44698   15.81782   15.22488   14.66575   14.13852
 
  285.52557  285.00308  280.06984  263.58678  236.38294  205.87372  176.65376
  150.50133  128.69147  110.87721   96.32223   84.36771   74.51345   66.33200
   59.51301   53.79919   48.98316   44.88525   41.38641   38.36862   35.74987
   33.46126   31.44436   29.65235   28.04767   26.59906   25.28078   24.07480
   22.96466   21.93754   20.98381   20.09462   19.26283   18.48259   17.74930
   17.05926   16.40889   15.79548   15.21670   14.67048   14.15482
 
  296.34192  294.18935  290.01903  270.13870  238.99060  205.83250  175.13362
  148.70858  126.59179  108.85161   94.44542   82.63074   72.88937   64.86396
   58.18600   52.59761   47.90451   43.92070   40.51726   37.59262   35.05594
   32.84148   30.89092   29.16226   27.61414   26.21686   24.94662   23.78340
   22.71324   21.72190   20.80062   19.94118   19.13612   18.37983   17.66860
   16.99822   16.36586   15.76843   15.20424   14.67112   14.16771
 
  305.73509  303.37285  298.05983  272.95878  241.01131  206.78124  174.39152
  146.68124  124.64138  106.85866   92.47147   80.74629   71.14187   63.25073
   56.70962   51.27471   46.71381   42.84426   39.55139   36.72018   34.26832
   32.13006   30.25098   28.58668   27.09742   25.75457   24.53498   23.41838
   22.38943   21.43746   20.55117   19.72374   18.94822   18.21905   17.53230
   16.88399   16.27150   15.69264   15.14510   14.62728   14.13738
 
  316.31070  315.60315  307.24161  277.77179  242.34822  205.93184  172.47861
  144.34767  122.22317  104.63310   90.38392   78.83785   69.41530   61.70790
   55.32668   50.04609   45.60796   41.86291   38.67249   35.93306   33.56516
   31.50044   29.68921   28.08513   26.65163   25.35972   24.18629   23.11280
   22.12363   21.20745   20.35429   19.55683   18.80873   18.10454   17.44014
   16.81237   16.21868   15.65674   15.12440   14.62041   14.14325
 
  326.44616  324.78212  315.65871  281.60264  242.87118  204.51746  169.98978
  141.70242  119.71757  102.23274   88.18141   76.82376   67.63300   60.12447
   53.93406   48.80219   44.51448   40.89119   37.80497   35.16118   32.87434
   30.88505   29.14091   27.59624   26.21768   24.97696   23.84966   22.81754
   21.86736   20.98683   20.16658   19.39882   18.67784   17.99829   17.35652
   16.74916   16.17384   15.62841   15.11129   14.62110   14.15626
 
  336.29015  333.95897  323.69239  284.60204  242.67575  202.64105  167.27715
  138.93570  116.94860   99.72757   85.90991   74.78931   65.83620   58.53041
   52.52315   47.56784   43.42223   39.92036   36.94571   34.39589   32.19385
   30.27810   28.59957   27.11457   25.79099   24.59927   23.51731   22.52746
   21.61619   20.77061   19.98267   19.24455   18.55060   17.89558   17.27634
   16.68954   16.13268   15.60402   15.10191   14.62532   14.17277
 
  346.26433  343.13389  331.15210  287.14692  242.02455  200.46418  164.41878
  135.92645  114.22880   97.25286   83.65823   72.76828   64.04878   56.97075
   51.14804   46.34493   42.33878   38.96116   36.09564   33.63797   31.51680
   29.67395   28.05878   26.63187   25.36094   24.21869   23.18067   22.23287
   21.35841   20.54802   19.79215   19.08399   18.41700   17.78723   17.19049
   16.62429   16.08647   15.57465   15.08803   14.62527   14.18541
 
  355.75648  352.30706  337.84724  288.78529  240.69122  197.89432  161.06794
  132.97758  111.44827   94.74003   81.38142   70.75691   62.28712   55.41591
   49.78676   45.14813   41.28756   38.03197   35.26942   32.90534   30.86784
   29.09493   27.54398   26.17522   24.95650   23.85982   22.86702   21.95801
   21.12100   20.34485   19.62007   18.94049   18.30038   17.69458   17.12011
   16.57393   16.05405   15.55896   15.08704   14.63758   14.20971
 
  365.50358  364.52910  344.34987  289.96940  238.98609  195.08807  157.90480
  129.80304  108.63105   92.20416   79.16808   68.78882   60.53697   53.86938
   48.43162   43.94813   40.23384   37.09603   34.43780   32.16528   30.20528
   28.50262   27.01468   25.70208   24.53445   23.48493   22.53517   21.66671
   20.86600   20.12403   19.43104   18.78074   18.16783   17.58711   17.03532
   16.50986   16.00912   15.53093   15.07475   14.63932   14.22411
 
  374.98149  373.69936  350.08813  290.47338  236.76623  192.01641  154.61320
  126.72218  105.77276   89.70241   76.97705   66.83594   58.81654   52.37205
   47.11304   42.79150   39.20755   36.19110   33.63463   31.45117   29.56884
   27.93592   26.51005   25.25101   24.13343   23.12995   22.22210   21.39153
   20.62759   19.91818   19.25658   18.63466   18.04770   17.49131   16.96181
   16.45668   15.97415   15.51272   15.07169   14.64992   14.24686
 
  383.94500  382.86827  355.06202  290.25966  234.06765  188.70396  151.20511
  123.41494  102.97325   87.23729   74.81001   64.95318   57.14561   50.91064
   45.85201   41.67853   38.23312   35.33638   32.87897   30.78451   28.97854
   27.41333   26.04547   24.84208   23.77160   22.81240   21.94457   21.15151
   20.42156   19.74396   19.11125   18.51680   17.95480   17.42134   16.91278
   16.42669   15.96141   15.51556   15.08837   14.67906   14.28703
 
  393.02158  392.03595  359.46234  289.59218  231.03365  185.19977  147.40204
  120.22088  100.04839   84.69386   72.63087   63.03527   55.48786   49.45879
   44.58780   40.57095   37.25680   34.47539   32.11832   30.10768   28.37743
   26.87773   25.56833   24.41687   23.39480   22.48003   21.65168   20.89672
   20.20073   19.55510   18.95210   18.38501   17.84882   17.33873   16.85159
   16.38531   15.93798   15.50837   15.09562   14.69933   14.31918
 
  401.88081  398.15152  363.28921  288.39570  227.64057  181.52846  143.82036
  116.81967   97.09784   82.13436   70.40187   61.16393   53.84399   48.04464
   43.35161   39.49245   36.30899   33.64153   31.38302   29.45433   27.79794
   26.36401   25.11280   24.01261   23.03686   22.16367   21.37513   20.65596
   19.99402   19.37967   18.80569   18.26527   17.75345   17.26656   16.80028
   16.35300   15.92291   15.50889   15.11022   14.72641   14.35733
 
  410.48321  407.31697  366.35191  286.67036  223.96014  177.72930  140.17684
  113.54825   94.03180   79.50276   68.20417   59.28710   52.23424   46.66908
   42.16467   38.45913   35.39607   32.83979   30.67329   28.82769   27.24269
   25.87023   24.67551   23.62505   22.69545   21.86548   21.11499   20.43161
   19.80283   19.21946   18.67409   18.16032   17.67268   17.20800   16.76231
   16.33341   15.91972   15.52052   15.13479   14.76286   14.40429
 
  419.05912  416.48150  369.22274  284.71777  220.08792  173.86594  136.50222
  110.42322   91.14737   76.92471   66.00232   57.40743   50.64149   45.29206
   40.97664   37.43281   34.50065   32.06129   29.98582   28.21592   26.69705
   25.38228   24.23963   23.23721   22.35257   21.56291   20.85289   20.20633
   19.61215   19.06085   18.54490   18.05792   17.59576   17.15320   16.72799
   16.31736   15.91993   15.53521   15.16233   14.80162   14.45300
 
  427.35785  425.64520  371.13887  282.04810  215.94061  169.88965  133.07518
  107.26857   88.14987   74.33596   63.79346   55.57672   49.08332   43.95395
   39.82784   36.44405   33.63426   31.30081   29.31648   27.62486   26.17078
   24.91438   23.82210   22.86618   22.02384   21.27548   20.60281   19.99137
   19.43040   18.90998   18.42298   17.96235   17.52404   17.10370   16.69806
   16.30522   15.92365   15.55258   15.19229   14.84257   14.50353
 
  435.31681  431.75682  371.52813  278.54843  211.51836  165.78097  129.28209
  103.91633   85.32381   71.85427   61.69416   53.76714   47.55907   42.65428
   38.70761   35.46918   32.79068   30.56298   28.66895   27.05443   25.66629
   24.46646   23.42459   22.51332   21.71289   21.00209   20.36473   19.78673
   19.25688   18.76510   18.30422   17.86819   17.45237   17.05282   16.66596
   16.29030   15.92413   15.56706   15.21883   14.88006   14.55061
 
  443.24202  440.91900  371.72572  274.89721  206.92849  161.50566  125.71071
  100.68379   82.56793   69.47626   59.66292   52.05778   46.10559   41.40601
   37.61534   34.53115   31.96951   29.83799   28.03542   26.49222   25.16850
   24.02405   23.03164   22.16573   21.40636   20.73349   20.13073   19.58558
   19.08570   18.62283   18.18826   17.77694   17.38405   17.00491   16.63680
   16.27801   15.92696   15.58341   15.24727   14.91909   14.59926
 
  450.94769  447.02914  371.35029  270.98150  202.23081  157.14695  121.79699
   97.42965   79.89514   67.20996   57.74427   50.42534   44.72542   40.22477
   36.60373   33.65432   31.20168   29.16435   27.44654   25.97208   24.70997
   23.61805   22.67235   21.85062   21.12845   20.49231   19.92374   19.40996
   18.93993   18.50380   18.09463   17.70617   17.33417   16.97437   16.62402
   16.28059   15.94333   15.61215   15.28685   14.96798   14.65647
 
  458.59900  453.13862  370.40189  266.83907  197.41345  152.74403  118.16402
   94.32709   77.21553   64.99922   55.90138   48.87152   43.41974   39.08384
   35.62209   32.80806   30.45745   28.51400   26.87238   25.46993   24.26359
   23.22616   22.32648   21.54387   20.86123   20.26020   19.72538   19.24176
   18.80058   18.39093   18.00638   17.64101   17.28964   16.94856   16.61480
   16.28663   15.96281   15.64344   15.32852   15.01895   14.71542
 
  427.46879  276.15781  257.10282  210.27371  160.30667  122.28439   95.62341
   77.26747   64.15436   54.57414   47.37398   41.86672   37.52574   34.04656
   31.23058   28.91414   26.97886   25.35282   23.97158   22.78831   21.77032
   20.88915   20.12263   19.45604   18.87023   18.35336   17.89418   17.48262
   17.10866   16.76493   16.44439   16.14121   15.84941   15.56556   15.28660
   15.01044   14.73622   14.46314   14.19155   13.92207   13.65544
 
 
  constant for Brems sampling table at low energies
   77.5760644334607       1.000000000000000E-004  1.000000000000000E-002  -2.00000000000000        77.5760644334607       0.123638343187719       0.100000000000000        1.00000000000000               38  2.250000000000000E-002  0.105127776846498       0.105127776846498       0.000000000000000E+000  0.562341325190349       1.405853312975873E-002          38          41          41
 
 ice     
 Brems total X-sec. table upto E=   77.5760644334609      GeV
  9.9999998E-03   4.695508    
  1.2738778E-02   5.143427    
  1.6227648E-02   5.598015    
  2.0672040E-02   6.048318    
  2.6333652E-02   6.497007    
  3.3545855E-02   6.931465    
  4.2733323E-02   7.360045    
  5.4437030E-02   7.783118    
  6.9346130E-02   8.192528    
  8.8338494E-02   8.595266    
  0.1125325       8.477825    
  0.1433526       8.835728    
  0.1826137       9.189717    
  0.2326275       9.540219    
  0.2963390       9.887631    
  0.3774997       10.23232    
  0.4808885       10.57462    
  0.6125932       10.91485    
  0.7803690       11.25326    
  0.9940947       11.59013    
   1.266355       11.92565    
   1.613182       12.26003    
   2.054996       12.59230    
   2.617815       12.92651    
   3.334776       13.26432    
   4.248097       13.59773    
   5.411557       13.91041    
   6.893662       14.18937    
   8.781683       14.42300    
   11.18679       14.60184    
   14.25060       14.71995    
   18.15353       14.77747    
   23.12538       14.77755    
   29.45891       14.72427    
   37.52705       14.62366    
   47.80487       14.48209    
   60.89757       14.30538    
   77.57607       13.95748    
 
 Brems sampling table at low E for Small Eg
    3.97123    3.91262    3.86195    3.81737    3.77764    3.74184    3.70924
    3.67926    3.65150    3.62562    3.60137    3.57852    3.55690    3.53591
    3.51523    3.49474    3.47480    3.45514    3.43622    3.41786    3.40014
    3.38304    3.36667    3.35100    3.33602    3.32169    3.30804    3.29505
    3.28266    3.27087    3.25966    3.24896    3.23878    3.22915    3.21993
    3.21118    3.20274    3.19488    3.18726    3.17982    3.17311
 
    4.23961    4.18153    4.13134    4.08720    4.04790    4.01247    3.98007
    3.95030    3.92287    3.89742    3.87361    3.85108    3.82957    3.80883
    3.78868    3.76906    3.74989    3.73114    3.71284    3.69495    3.67754
    3.66065    3.64426    3.62842    3.61311    3.59838    3.58422    3.57063
    3.55761    3.54510    3.53316    3.52178    3.51085    3.50048    3.49060
    3.48101    3.47197    3.46338    3.45513    3.44727    3.43986
 
    4.50313    4.44491    4.39448    4.35006    4.31044    4.27457    4.24171
    4.21152    4.18363    4.15763    4.13308    4.10965    4.08703    4.06502
    4.04350    4.02246    4.00181    3.98164    3.96197    3.94281    3.92427
    3.90635    3.88907    3.87246    3.85659    3.84133    3.82682    3.81294
    3.79975    3.78713    3.77519    3.76389    3.75312    3.74286    3.73316
    3.72386    3.71509    3.70689    3.69900    3.69181    3.68439
 
    4.76536    4.70687    4.65605    4.61119    4.57108    4.53461    4.50117
    4.47039    4.44182    4.41502    4.38945    4.36480    4.34077    4.31726
    4.29417    4.27154    4.24940    4.22782    4.20686    4.18661    4.16708
    4.14835    4.13046    4.11337    4.09710    4.08165    4.06702    4.05311
    4.04001    4.02760    4.01583    4.00476    3.99430    3.98436    3.97501
    3.96622    3.95796    3.94994    3.94267    3.93566    3.92902
 
    5.02715    4.96832    4.91708    4.87170    4.83098    4.79383    4.75971
    4.72825    4.69887    4.67102    4.64422    4.61810    4.59248    4.56730
    4.54256    4.51833    4.49474    4.47185    4.44977    4.42859    4.40833
    4.38903    4.37073    4.35339    4.33700    4.32157    4.30703    4.29329
    4.28043    4.26832    4.25691    4.24624    4.23625    4.22683    4.21798
    4.20969    4.20178    4.19440    4.18768    4.18093    4.17494
 
    5.28547    5.22591    5.17383    5.12761    5.08597    5.04784    5.01284
    4.98041    4.94992    4.92075    4.89239    4.86458    4.83722    4.81028
    4.78391    4.75820    4.73331    4.70938    4.68645    4.66467    4.64400
    4.62445    4.60606    4.58879    4.57259    4.55739    4.54316    4.52987
    4.51745    4.50585    4.49502    4.48487    4.47539    4.46655    4.45826
    4.45061    4.44337    4.43657    4.43019    4.42394    4.41874
 
    5.54210    5.48165    5.42864    5.38147    5.33881    5.29973    5.26377
    5.23033    5.19862    5.16796    5.13798    5.10845    5.07935    5.05084
    5.02304    4.99614    4.97032    4.94570    4.92232    4.90027    4.87954
    4.86015    4.84198    4.82503    4.80929    4.79458    4.78092    4.76822
    4.75641    4.74548    4.73530    4.72579    4.71702    4.70880    4.70120
    4.69418    4.68752    4.68136    4.67567    4.67036    4.66530
 
    5.79664    5.73517    5.68121    5.63311    5.58946    5.54948    5.51267
    5.47821    5.44525    5.41318    5.38164    5.35055    5.32003    5.29025
    5.26143    5.23380    5.20752    5.18264    5.15928    5.13741    5.11704
    5.09807    5.08049    5.06417    5.04907    5.03511    5.02221    5.01026
    4.99923    4.98908    4.97966    4.97091    4.96289    4.95544    4.94855
    4.94212    4.93614    4.93070    4.92559    4.92074    4.91639
 
    6.05084    5.98854    5.93374    5.88481    5.84031    5.79960    5.76199
    5.72655    5.69242    5.65899    5.62608    5.59371    5.56206    5.53142
    5.50204    5.47412    5.44778    5.42310    5.40012    5.37877    5.35901
    5.34077    5.32399    5.30850    5.29429    5.28120    5.26914    5.25810
    5.24789    5.23856    5.22996    5.22208    5.21472    5.20801    5.20183
    5.19619    5.19082    5.18601    5.18168    5.17761    5.17352
 
    6.30260    6.23942    6.18380    6.13409    6.08885    6.04750    6.00915
    5.97281    5.93755    5.90293    5.86887    5.83553    5.80317    5.77211
    5.74261    5.71481    5.68887    5.66474    5.64245    5.62194    5.60305
    5.58577    5.56993    5.55546    5.54218    5.53006    5.51897    5.50887
    5.49960    5.49110    5.48337    5.47628    5.46979    5.46381    5.45831
    5.45327    5.44860    5.44434    5.44042    5.43698    5.43357
 
    6.62332    6.57299    6.53065    6.49481    6.46433    6.43823    6.41576
    6.39634    6.37948    6.36478    6.35194    6.34069    6.33080    6.32207
    6.31439    6.30757    6.30155    6.29621    6.29147    6.28726    6.28350
    6.28014    6.27714    6.27448    6.27207    6.26993    6.26804    6.26630
    6.26476    6.26337    6.26215    6.26094    6.25997    6.25904    6.25823
    6.25747    6.25690    6.25617    6.25565    6.25506    6.25466
 
    6.87414    6.82385    6.78169    6.74622    6.71615    6.69052    6.66857
    6.64969    6.63336    6.61920    6.60688    6.59615    6.58674    6.57851
    6.57126    6.56489    6.55928    6.55433    6.54994    6.54609    6.54266
    6.53959    6.53688    6.53447    6.53232    6.53041    6.52872    6.52721
    6.52584    6.52467    6.52350    6.52259    6.52166    6.52091    6.52026
    6.51958    6.51902    6.51840    6.51811    6.51751    6.51719
 
    7.12327    7.07296    7.03102    6.99585    6.96618    6.94103    6.91957
    6.90120    6.88540    6.87174    6.85994    6.84968    6.84075    6.83294
    6.82614    6.82016    6.81493    6.81035    6.80629    6.80275    6.79961
    6.79682    6.79439    6.79222    6.79029    6.78858    6.78707    6.78574
    6.78453    6.78347    6.78253    6.78165    6.78096    6.78030    6.77961
    6.77914    6.77855    6.77806    6.77772    6.77756    6.77710
 
    7.37079    7.32047    7.27871    7.24385    7.21458    7.18987    7.16892
    7.15103    7.13572    7.12256    7.11122    7.10141    7.09293    7.08555
    7.07915    7.07356    7.06869    7.06442    7.06067    7.05742    7.05456
    7.05202    7.04979    7.04787    7.04613    7.04463    7.04327    7.04207
    7.04104    7.04010    7.03927    7.03854    7.03786    7.03729    7.03676
    7.03633    7.03582    7.03558    7.03519    7.03522    7.03464
 
    7.61684    7.56649    7.52490    7.49034    7.46148    7.43722    7.41672
    7.39930    7.38449    7.37179    7.36093    7.35156    7.34350    7.33651
    7.33048    7.32525    7.32071    7.31676    7.31332    7.31029    7.30769
    7.30539    7.30338    7.30162    7.30009    7.29874    7.29750    7.29647
    7.29555    7.29476    7.29400    7.29337    7.29281    7.29229    7.29182
    7.29154    7.29118    7.29072    7.29042    7.29068    7.29007
 
    7.86153    7.81115    7.76973    7.73548    7.70701    7.68317    7.66315
    7.64622    7.63187    7.61964    7.60921    7.60026    7.59260    7.58602
    7.58034    7.57542    7.57118    7.56752    7.56435    7.56160    7.55920
    7.55709    7.55530    7.55372    7.55234    7.55114    7.55005    7.54916
    7.54830    7.54758    7.54699    7.54643    7.54592    7.54553    7.54516
    7.54477    7.54444    7.54434    7.54422    7.54362    7.54361
 
    8.10500    8.05458    8.01334    7.97941    7.95132    7.92794    7.90838
    7.89191    7.87801    7.86623    7.85624    7.84772    7.84043    7.83421
    7.82885    7.82427    7.82034    7.81692    7.81401    7.81146    7.80929
    7.80739    7.80574    7.80433    7.80308    7.80200    7.80108    7.80025
    7.79954    7.79894    7.79839    7.79791    7.79749    7.79710    7.79675
    7.79655    7.79618    7.79604    7.79573    7.79541    7.79549
 
    8.34737    8.29692    8.25587    8.22226    8.19459    8.17165    8.15254
    8.13655    8.12309    8.11176    8.10217    8.09404    8.08714    8.08125
    8.07625    8.07196    8.06827    8.06512    8.06242    8.06011    8.05811
    8.05640    8.05492    8.05361    8.05252    8.05156    8.05072    8.05003
    8.04938    8.04883    8.04837    8.04798    8.04759    8.04728    8.04705
    8.04684    8.04658    8.04640    8.04634    8.04644    8.04592
 
    8.58875    8.53830    8.49746    8.46421    8.43694    8.41444    8.39580
    8.38027    8.36727    8.35636    8.34718    8.33944    8.33289    8.32733
    8.32261    8.31862    8.31520    8.31230    8.30980    8.30769    8.30586
    8.30431    8.30296    8.30184    8.30084    8.29999    8.29922    8.29859
    8.29805    8.29757    8.29718    8.29679    8.29649    8.29621    8.29597
    8.29578    8.29565    8.29537    8.29523    8.29497    8.29509
 
    8.82929    8.77887    8.73827    8.70535    8.67851    8.65648    8.63829
    8.62321    8.61067    8.60019    8.59139    8.58401    8.57782    8.57259
    8.56817    8.56443    8.56125    8.55857    8.55627    8.55434    8.55266
    8.55126    8.55005    8.54904    8.54814    8.54739    8.54674    8.54617
    8.54573    8.54531    8.54492    8.54465    8.54431    8.54411    8.54391
    8.54379    8.54357    8.54348    8.54321    8.54351    8.54315
 
    9.06909    9.01873    8.97839    8.94586    8.91944    8.89786    8.88015
    8.86553    8.85341    8.84334    8.83495    8.82794    8.82206    8.81713
    8.81297    8.80949    8.80656    8.80408    8.80196    8.80020    8.79868
    8.79740    8.79632    8.79540    8.79460    8.79392    8.79335    8.79285
    8.79248    8.79209    8.79179    8.79154    8.79126    8.79111    8.79095
    8.79085    8.79060    8.79061    8.79053    8.79064    8.79028
 
    9.30828    9.25800    9.21794    9.18580    9.15984    9.13874    9.12148
    9.10731    9.09563    9.08596    9.07795    9.07128    9.06571    9.06109
    9.05720    9.05394    9.05122    9.04894    9.04699    9.04537    9.04401
    9.04285    9.04187    9.04106    9.04036    9.03974    9.03923    9.03884
    9.03844    9.03813    9.03784    9.03768    9.03746    9.03729    9.03708
    9.03704    9.03692    9.03683    9.03672    9.03687    9.03659
 
    9.54704    9.49692    9.45719    9.42550    9.40003    9.37942    9.36267
    9.34897    9.33775    9.32850    9.32091    9.31461    9.30941    9.30508
    9.30151    9.29853    9.29607    9.29404    9.29233    9.29094    9.28976
    9.28884    9.28806    9.28743    9.28696    9.28656    9.28630    9.28613
    9.28604    9.28605    9.28621    9.28636    9.28671    9.28723    9.28800
    9.28914    9.29085    9.29395    9.29999    9.31825    9.32762
 
    9.78511    9.73511    9.69570    9.66440    9.63934    9.61918    9.60284
    9.58956    9.57870    9.56981    9.56248    9.55646    9.55147    9.54737
    9.54394    9.54110    9.53873    9.53677    9.53512    9.53374    9.53256
    9.53158    9.53073    9.53003    9.52941    9.52890    9.52839    9.52801
    9.52760    9.52726    9.52689    9.52655    9.52618    9.52575    9.52525
    9.52463    9.52377    9.52240    9.48385    9.46797    9.44828
 
   10.02239    9.97246    9.93329    9.90230    9.87760    9.85777    9.84174
    9.82873    9.81811    9.80940    9.80221    9.79629    9.79134    9.78722
    9.78377    9.78083    9.77832    9.77616    9.77427    9.77258    9.77105
    9.76965    9.76835    9.76705    9.76579    9.76450    9.76317    9.76170
    9.76011    9.75834    9.75624    9.75374    9.75071    9.74684    9.74176
    9.73466    9.71500    9.70418    9.68012    9.68136    9.69296
 
   10.25980   10.21006   10.17123   10.14067   10.11639   10.09699   10.08137
   10.06873   10.05844   10.05004   10.04312   10.03741   10.03266   10.02869
   10.02533   10.02248   10.02002   10.01786   10.01597   10.01424   10.01267
   10.01115   10.00971   10.00826   10.00679   10.00528   10.00366   10.00183
    9.99986    9.99755    9.99489    9.99165    9.98766    9.98250    9.96881
    9.95637    9.96806    9.98567   10.01464   10.05846   10.11806
 
   10.49906   10.44995   10.41192   10.38221   10.35886   10.34037   10.32569
   10.31397   10.30462   10.29715   10.29116   10.28640   10.28264   10.27966
   10.27735   10.27556   10.27423   10.27329   10.27269   10.27234   10.27224
   10.27236   10.27271   10.27326   10.27402   10.27502   10.27627   10.27776
   10.27956   10.28179   10.28455   10.28790   10.28690   10.29280   10.31062
   10.34709   10.39631   10.46128   10.54538   10.65101   10.78070
 
   10.74155   10.69375   10.65720   10.62910   10.60741   10.59068   10.57778
   10.56793   10.56049   10.55499   10.55111   10.54850   10.54701   10.54646
   10.54670   10.54764   10.54925   10.55146   10.55427   10.55764   10.56165
   10.56627   10.57158   10.57771   10.58470   10.59272   10.60201   10.61279
   10.62543   10.64047   10.65418   10.67618   10.71140   10.76014   10.82905
   10.91674   11.02545   11.15868   11.31997   11.51274   11.74363
 
   10.98839   10.94283   10.90872   10.88321   10.86424   10.85034   10.84041
   10.83367   10.82948   10.82741   10.82713   10.82837   10.83091   10.83468
   10.83955   10.84548   10.85243   10.86045   10.86955   10.87984   10.89142
   10.90438   10.91897   10.93543   10.95408   10.97529   10.99965   11.02780
   11.05945   11.09567   11.14613   11.21355   11.29993   11.40767   11.53937
   11.69830   11.88816   12.11379   12.38126   12.69761   13.07408
 
   11.24059   11.19836   11.16783   11.14609   11.13108   11.12136   11.11584
   11.11370   11.11442   11.11750   11.12269   11.12974   11.13851   11.14892
   11.16093   11.17452   11.18980   11.20683   11.22576   11.24679   11.27017
   11.29619   11.32526   11.35793   11.39475   11.43656   11.48447   11.53766
   11.60266   11.68498   11.78764   11.91309   12.06434   12.24476   12.45842
   12.71033   13.00691   13.35616   13.76897   14.25967   14.84749
 
   11.49870   11.46102   11.43530   11.41866   11.40904   11.40497   11.40541
   11.40961   11.41698   11.42719   11.43991   11.45501   11.47240   11.49202
   11.51395   11.53828   11.56513   11.59475   11.62740   11.66346   11.70334
   11.74760   11.79694   11.85225   11.91456   11.98527   12.06364   12.15601
   12.27333   12.41262   12.57866   12.77495   13.00572   13.27603   13.59217
   13.96231   14.39693   14.90967   15.51996   15.19796   17.15320
 
   11.76272   11.73080   11.71116   11.70092   11.69806   11.70115   11.70913
   11.72133   11.73720   11.75643   11.77878   11.80415   11.83254   11.86398
   11.89862   11.93667   11.97838   12.02414   12.07441   12.12975   12.19083
   12.25853   12.33394   12.41833   12.51335   12.61876   12.74248   12.89034
   13.06684   13.27300   13.51369   13.79398   14.11981   14.49894   14.94095
   15.45863   16.06895   16.79574   15.82936   13.21400   20.10316
 
   12.03236   12.00733   11.99495   11.99236   11.99760   12.00922   12.02627
   12.04806   12.07414   12.10423   12.13818   12.17592   12.21760   12.26330
   12.31330   12.36791   12.42760   12.49290   12.56445   12.64312   12.72987
   12.82597   12.93285   13.05249   13.18387   13.33715   13.51972   13.72884
   13.97340   14.25604   14.58268   14.96035   15.39764   15.90586   16.49943
   17.19818   18.02913   19.03113   18.73222   16.23937   23.83632
 
   12.30723   12.29014   12.28612   12.29236   12.30690   12.32837   12.35588
   12.38876   12.42665   12.46930   12.51666   12.56878   12.62581   12.68805
   12.75586   12.82971   12.91026   12.99822   13.09452   13.20027   13.31684
   13.44586   13.58940   13.74694   13.92814   14.13905   14.38052   14.65976
   14.98040   15.34863   15.77220   16.26064   16.82611   17.48463   18.25742
   19.17389   20.27614   21.62590   21.95357   19.81713   28.52332
 
   12.58675   12.57856   12.58388   12.59995   12.62489   12.65738   12.69657
   12.74187   12.79295   12.84968   12.91208   12.98030   13.05459   13.13538
   13.22317   13.31864   13.42260   13.53601   13.66008   13.79627   13.94633
   14.11235   14.29475   14.50104   14.73758   15.00827   15.31757   15.67096
   16.07482   16.53731   17.06831   17.68063   18.39087   19.22112   20.20170
   21.37522   22.80420   24.58470   25.47864   23.99361   34.37679
 
   12.87033   12.87185   12.88736   12.91417   12.95045   12.99496   13.04688
   13.10573   13.17125   13.24337   13.32222   13.40802   13.50119   13.60227
   13.71196   13.83105   13.96062   14.10191   14.25641   14.42590   14.61263
   14.81754   15.04499   15.30554   15.60073   15.93607   16.31703   16.75033
   17.24419   17.80881   18.45705   19.20562   20.07655   21.09978   22.31674
   23.78755   25.60221   27.66362   23.06685   46.13371   41.65944
 
   13.15745   13.16938   13.19578   13.23410   13.28253   13.33992   13.40550
   13.47889   13.55988   13.64850   13.74498   13.84966   13.96310   14.08598
   14.21915   14.36365   14.52074   14.69196   14.87911   15.08441   15.31049
   15.55787   15.83806   16.15198   16.50880   16.91215   17.36880   17.88683
   18.47641   19.15027   19.92468   20.82098   21.86764   23.10381   24.58498
   26.39278   28.65341   30.74922   26.68619   53.37237   50.69387
 
   13.45576   13.47847   13.51617   13.56639   13.62746   13.69826   13.77815
   13.86673   13.96395   14.06990   14.18489   14.30942   14.44417   14.58997
   14.74785   14.91905   15.10513   15.30784   15.52939   15.77239   16.03800
   16.33384   16.66631   17.04177   17.46266   17.93698   18.47276   19.07977
   19.77036   20.56001   21.46896   22.52373   23.76046   25.22902   27.00174
   29.18647   31.95465   33.93023   30.57910   61.15819   61.93171
 
 
 Brems sampling tbl at low E for large Eg
  168.46334  167.58817  166.18082  159.23996  145.87857  129.76294  113.50445
   98.73285   85.55627   74.37123   65.07721   57.38583   50.90516   45.44581
   40.83140   36.91195   33.58370   30.73026   28.28107   26.16032   24.31924
   22.70723   21.29223   20.04233   18.92985   17.93648   17.04194   16.23185
   15.49394   14.81726   14.19373   13.61591   13.07819   12.57592   12.10520
   11.66239   11.24500   10.85048   10.47689   10.12249    9.78612
 
  186.25329  186.14889  183.60489  170.23796  153.47362  135.04818  116.18151
   99.45809   85.18643   73.58744   64.12189   56.26749   49.74463   44.30194
   39.73185   35.89294   32.64414   29.88551   27.52489   25.48782   23.72057
   22.18270   20.83280   19.64164   18.58482   17.64079   16.79407   16.02764
   15.32965   14.69041   14.10096   13.55440   13.04562   12.56955   12.12285
   11.70185   11.30409   10.92728   10.56970   10.23002    9.90649
 
  204.17065  204.68380  200.43131  181.07510  159.43744  137.78816  116.39479
   98.33567   83.61453   71.91522   62.41059   54.56607   48.14315   42.82993
   38.40323   34.71131   31.59396   28.95561   26.70623   24.77258   23.09615
   21.63988   20.36257   19.23737   18.24002   17.35074   16.55246   15.83110
   15.17498   14.57348   14.01905   13.50489   13.02540   12.57645   12.15411
   11.75557   11.37836   11.02023   10.67946   10.35477   10.04490
 
  221.93216  220.15596  216.46878  189.92084  163.29825  138.60700  115.35286
   96.51465   81.52173   69.72521   60.34989   52.64594   46.34272   41.20886
   36.96007   33.43147   30.46526   27.96688   25.83876   24.00946   22.43097
   21.05953   19.85758   18.80070   17.86486   17.03206   16.28483   15.61018
   14.99684   14.43467   13.91626   13.43534   12.98652   12.56592   12.16957
   11.79498   11.43946   11.10132   10.77863   10.47015   10.17516
 
  239.68527  238.63638  231.52716  196.96313  165.29670  137.50937  113.36541
   94.00433   78.82088   67.26708   58.02731   50.54187   44.44751   39.48776
   35.44018   32.09968   29.28848   26.92373   24.92655   23.21237   21.73135
   20.44495   19.32095   18.33459   17.46212   16.68479   15.98969   15.36217
   14.79202   14.27040   13.78938   13.34288   12.92606   12.53466   12.16589
   11.81642   11.48416   11.16699   10.86379   10.57308   10.29398
 
  256.70162  257.09422  244.27594  201.71581  165.35378  135.75071  110.43987
   90.81222   75.80780   64.48735   55.56857   48.34165   42.48213   37.74252
   33.91190   30.76071   28.11829   25.90059   24.03414   22.43104   21.04996
   19.85458   18.80838   17.89206   17.08227   16.36221   15.71866   15.13813
   14.61137   14.12912   13.68485   13.27255   12.88727   12.52502   12.18307
   11.85869   11.54933   11.25323   10.96911   10.69557   10.43221
 
  273.44761  272.48688  255.28518  204.74517  163.91452  132.71271  106.88479
   87.27175   72.48848   61.39146   52.81941   45.96769   40.43109   35.97659
   32.36763   29.41729   26.95710   24.88943   23.14705   21.66053   20.38004
   19.27122   18.30343   17.45403   16.70596   16.04232   15.45017   14.91695
   14.43332   13.99141   13.58431   13.20623   12.85283   12.52068   12.20618
   11.90676   11.62056   11.34566   11.08065   10.82442   10.57642
 
  289.92057  287.85794  264.36609  206.24303  161.24594  129.02617  103.31056
   83.55187   69.06015   58.16473   49.94291   43.47817   38.31689   34.14999
   30.82030   28.07960   25.81300   23.90187   22.29117   20.91875   19.73378
   18.70522   17.81102   17.02653   16.33558   15.72479   15.18202   14.69547
   14.25600   13.85563   13.48777   13.14601   12.82693   12.52590   12.24011
   11.96718   11.70466   11.45089   11.20490   10.96544   10.73226
 
  305.82341  303.21057  270.56814  204.93315  157.24528  124.06999   99.11701
   79.49303   65.52647   54.99138   47.10104   41.06676   36.25808   32.42062
   29.32462   26.78970   24.69989   22.94397   21.45516   20.19981   19.10914
   18.16420   17.34162   16.62192   15.98918   15.43176   14.93663   14.49469
   14.09693   13.73525   13.40353   13.09582   12.80794   12.53626   12.27718
   12.02879   11.78881   11.55524   11.32750   11.10420   10.88545
 
  321.38632  318.54757  274.84538  202.58758  152.48868  119.09992   94.61009
   75.42582   61.89027   51.93400   44.53402   38.84403   34.37211   30.83183
   27.94509   25.61324   23.68179   22.06661   20.69631   19.53734   18.53947
   17.67376   16.91890   16.26051   15.68287   15.17482   14.72615   14.32820
   13.97105   13.64749   13.35104   13.07636   12.81890   12.57487   12.34172
   12.11661   11.89725   11.68234   11.47095   11.26223   11.05617
 
  206.62845  205.81059  193.53005  161.47063  125.07069   95.96419   75.57976
   61.04844   50.75277   43.09554   37.32755   32.92210   29.43632   26.66297
   24.39133   22.53122   20.98271   19.67125   18.55800   17.60359   16.77922
   16.06563   15.44354   14.89902   14.42183   14.00318   13.63136   13.30213
   13.00734   12.74183   12.50000   12.27695   12.06862   11.87175   11.68249
   11.49840   11.31742   11.13829   10.95971   10.78134   10.60283
 
  216.30620  214.99921  198.52361  160.03268  120.71752   91.60075   71.66417
   57.62703   47.88092   40.75849   35.39472   31.29917   28.07400   25.48625
   23.39557   21.67376   20.23339   19.02302   17.99259   17.11306   16.35240
   15.69754   15.13050   14.63657   14.20535   13.82824   13.49613   13.20354
   12.94307   12.70948   12.49723   12.30133   12.11837   11.94424   11.77558
   11.60987   11.44523   11.28004   11.11356   10.94554   10.77591
 
  225.75774  224.18201  202.36667  157.11827  115.69002   86.60646   67.44274
   54.36657   45.19941   38.54051   33.57985   29.78435   26.78849   24.40790
   22.46302   20.87278   19.54700   18.42475   17.47547   16.66523   15.97168
   15.37477   14.85767   14.41167   14.02543   13.69001   13.39634   13.13872
   12.91114   12.70785   12.52354   12.35379   12.19425   12.04104   11.89129
   11.74238   11.59209   11.43941   11.28365   11.12439   10.96211
 
  235.01246  233.35996  204.48808  152.95459  110.22820   82.23459   63.52111
   51.26785   42.70880   36.50214   31.88328   28.35077   25.59920   23.39992
   21.61476   20.13637   18.91101   17.88138   17.01055   16.26654   15.63426
   15.09269   14.62874   14.22913   13.88482   13.58842   13.33197   13.10818
   12.91207   12.73751   12.57950   12.43399   12.29605   12.16234   12.02963
   11.89551   11.75793   11.61596   11.46914   11.31732   11.16112
 
  244.09720  239.48313  205.07915  147.73110  104.50025   77.23418   59.90003
   48.33143   40.31352   34.58357   30.30520   27.05276   24.50620   22.47636
   20.82977   19.46447   18.33786   17.39281   16.59374   15.92013   15.34541
   14.85795   14.44169   14.08721   13.78485   13.52590   13.30410   13.11199
   12.94510   12.79785   12.66467   12.54127   12.42327   12.30692   12.18954
   12.06835   11.94170   11.80897   11.66938   11.52360   11.37212
 
  253.03606  248.65349  204.14053  141.71253   98.67415   72.23200   56.27781
   45.39437   38.10979   32.78496   28.84570   25.86323   23.50945   21.63718
   20.10800   18.85701   17.82121   16.95893   16.23289   15.61935   15.10498
   14.66815   14.30021   13.98745   13.72405   13.50119   13.31169   13.14976
   13.01041   12.88833   12.77756   12.67437   12.57421   12.47387   12.36970
   12.25971   12.14258   12.01719   11.88360   11.74231   11.59420
 
  261.85037  254.77000  201.48212  135.16349   92.88187   67.85456   52.65490
   42.78365   36.00186   31.16644   27.50481   24.75511   22.58973   20.85432
   19.45987   18.31389   17.36718   16.57963   15.91991   15.37059   14.91018
   14.52320   14.20041   13.92816   13.70241   13.51187   13.35376   13.22020
   13.10648   13.00727   12.91711   12.83239   12.74813   12.66140   12.56877
   12.46837   12.35896   12.23959   12.11043   11.97247   11.82659
 
  270.55885  260.88399  197.29514  128.23540   87.23134   64.10217   49.63586
   40.33605   34.08571   29.60802   26.28253   23.75544   21.74700   20.15571
   18.87481   17.82700   16.96943   16.25478   15.66661   15.17372   14.76358
   14.42526   14.14225   13.90934   13.71715   13.55925   13.42933   13.32155
   13.23139   13.15262   13.08151   13.01310   12.94335   12.86831   12.78567
   12.69310   12.58965   12.47478   12.34897   12.21300   12.06821
 
  279.17777  266.99596  191.96154  121.15493   81.77071   59.72337   46.61656
   38.21493   32.36137   28.22970   25.17880   22.83710   21.00035   19.54125
   18.36319   17.41223   16.62785   15.98920   15.46096   15.02539   14.66510
   14.36754   14.12570   13.92774   13.76832   13.63976   13.53533   13.45164
   13.38282   13.32353   13.26900   13.21528   13.15755   13.09307   13.01874
   12.93261   12.83369   12.72185   12.59793   12.46284   12.31821
 
  287.72119  273.10629  185.29100  114.03558   76.55992   55.97009   43.89922
   36.09381   30.82881   26.97144   24.15414   22.00006   20.31140   18.98289
   17.91444   17.05350   16.34857   15.77787   15.30684   14.92232   14.60935
   14.35452   14.14699   13.98343   13.85321   13.74986   13.67086   13.60877
   13.55932   13.51721   13.47780   13.43668   13.38996   13.33411   13.26622
   13.18497   13.08952   12.97953   12.85629   12.72095   12.57540
 
  296.20115  276.16375  177.66535  107.06609   71.64690   52.84240   41.48388
   34.29920   29.29636   25.83323   23.24794   21.24426   19.71836   18.49454
   17.52850   16.75072   16.12526   15.61578   15.20024   14.86446   14.59364
   14.37725   14.20617   14.07162   13.96774   13.89094   13.83290   13.79078
   13.75858   13.73200   13.70576   13.67604   13.63850   13.58952   13.52721
   13.44931   13.35575   13.24650   13.12281   12.98633   12.83895
 
  304.62796  279.22005  169.46639  100.28442   67.03181   49.71458   39.06855
   32.50466   27.95567   24.75509   22.38133   20.56963   19.18289   18.07612
   17.20528   16.51180   15.95166   15.50289   15.14111   14.85179   14.61797
   14.43801   14.29761   14.19079   14.11205   14.05704   14.01948   13.99504
   13.97873   13.96588   13.95179   13.93139   13.90170   13.85854   13.79982
   13.72413   13.63117   13.52143   13.39640   13.25783   13.10783
 
  312.98225  282.27541  160.88511   93.80381   62.72666   46.58672   36.95525
   30.87341   26.80667   23.79693   21.63307   20.00311   18.72407   17.72756
   16.94472   16.32074   15.82773   15.43424   15.12152   14.87462   14.67970
   14.53014   14.41761   14.33619   14.28066   14.24587   14.22646   14.21837
   14.21653   14.21594   14.21178   14.19999   14.17636   14.13756   14.08149
   14.00663   13.91333   13.80222   13.67485   13.53336   13.38026
 
  321.36814  279.22669  151.92173   87.62439   58.74346   44.08453   35.14396
   29.40541   25.65777   22.95868   20.96371   19.49066   18.32270   17.43486
   16.74677   16.19343   15.75963   15.41965   15.14940   14.93622   14.77623
   14.65596   14.57009   14.51121   14.47657   14.46015   14.45740   14.46354
   14.47453   14.48459   14.48952   14.48473   14.46554   14.42981   14.37504
   14.30015   14.20518   14.09162   13.96116   13.81600   13.65890
 
  329.83035  279.22899  143.14863   81.85930   55.07032   41.58235   33.33271
   28.26375   24.70049   22.24029   20.41259   19.05922   18.01699   17.22585
   16.60095   16.12187   15.74114   15.44437   15.21289   15.03987   14.90761
   14.81333   14.75137   14.71440   14.69859   14.69886   14.71038   14.73039
   14.75268   14.77223   14.78469   14.78500   14.76975   14.73580   14.68097
   14.60459   14.50719   14.39022   14.25560   14.10613   13.94439
 
  338.17230  276.17907  134.37519   76.43325   51.68340   39.08022   31.82344
   26.95905   23.83902   21.58185   19.90090   18.68178   17.76864   17.05867
   16.50724   16.08214   15.75987   15.50350   15.31202   15.16621   15.06321
   14.99338   14.95204   14.93445   14.93551   14.95098   14.97676   15.00772
   15.03996   15.06759   15.08612   15.09107   15.07846   15.04485   14.98928
   14.91077   14.81012   14.68903   14.54972   14.39535   14.22872
 
  345.98986  270.07700  125.60152   71.30860   48.52309   37.20370   30.31421
   25.98062   22.97763   20.92348   19.46801   18.35831   17.53942   16.91938
   16.43437   16.07426   15.79098   15.57739   15.41514   15.30233   15.22163
   15.17365   15.15115   15.15007   15.16741   15.19649   15.23402   15.27553
   15.31636   15.35143   15.37512   15.38322   15.37220   15.33890   15.28182
   15.20062   15.09621   14.97093   14.82703   14.66764   14.49626
 
  352.96131  260.92284  117.01842   66.44769   45.56555   34.70169   28.80506
   24.83918   22.21203   20.38489   19.03516   18.06183   17.34843   16.79402
   16.38233   16.06636   15.82207   15.64635   15.51432   15.42556   15.36675
   15.33835   15.33334   15.34803   15.37699   15.41886   15.46681   15.51794
   15.56641   15.60731   15.63512   15.64609   15.63626   15.60236   15.54365
   15.45998   15.35221   15.22281   15.07453   14.91081   14.73476
 
  358.79943  251.76839  108.62595   61.88822   42.77499   32.82528   27.59780
   23.86088   21.54219   19.84635   18.64172   17.79234   17.15746   16.66866
   16.31985   16.04252   15.84074   15.69562   15.58972   15.52290   15.48509
   15.47388   15.48315   15.51166   15.55256   15.60390   15.66154   15.72029
   15.77525   15.82093   15.85264   15.86607   15.85679   15.82273   15.76243
   15.67628   15.56583   15.43303   15.28116   15.11367   14.93396
 
  363.26921  239.56197  100.61490   57.55485   40.13950   31.57438   26.08880
   23.04569   20.77673   19.30788   18.28766   17.52287   16.94740   16.54331
   16.22612   16.00274   15.83458   15.71535   15.63340   15.58458   15.56314
   15.56657   15.58891   15.62754   15.67945   15.73985   15.80534   15.87082
   15.93105   15.98123   16.01597   16.03117   16.02323   15.98899   15.92793
   15.84025   15.72739   15.59224   15.43767   15.26750   15.08497
 
  366.22413  227.35537   92.98530   53.48526   37.63523   29.69806   24.88166
   22.06752   20.10701   18.82928   17.89430   17.22650   16.73737   16.37618
   16.12197   15.92313   15.78496   15.69077   15.62946   15.60084   15.59278
   15.60956   15.64280   15.69218   15.75165   15.81876   15.89045   15.96138
   16.02622   16.08017   16.11783   16.13511   16.12799   16.09430   16.03299
   15.94471   15.83108   15.69449   15.53860   15.36680   15.18276
 
  367.66833  215.14864   85.54640   49.60410   35.26217   27.82179   23.67459
   21.25244   19.43736   18.29092   17.50100   16.93016   16.50828   16.19515
   15.97617   15.81169   15.70431   15.62680   15.58585   15.56841   15.57396
   15.60054   15.64283   15.69883   15.76612   15.83916   15.91603   15.99110
   16.05988   16.11682   16.15724   16.17643   16.17097   16.13846   16.07797
   15.99021   15.87653   15.73999   15.58373   15.41163   15.22731
 
  367.68053  199.89005   78.67973   45.98673   33.02032   26.57100   22.76934
   20.27441   18.86342   17.81244   17.10774   16.60694   16.24105   15.98630
   15.79916   15.66843   15.58025   15.52349   15.49465   15.49058   15.50672
   15.54178   15.59091   15.65246   15.72571   15.80354   15.88369   15.96245
   16.03421   16.09401   16.13717   16.15864   16.15511   16.12458   16.06583
   15.97928   15.86684   15.73145   15.57610   15.40487   15.22124
 
  366.36309  184.63139   72.19453   42.63315   30.90968   24.69486   21.56238
   19.62244   18.19389   17.33401   16.71455   16.28376   15.97387   15.74965
   15.60137   15.49338   15.41902   15.37594   15.36385   15.36738   15.39380
   15.43335   15.49096   15.55646   15.63340   15.71453   15.79808   15.87961
   15.95352   16.01614   16.06134   16.08527   16.08448   16.05623   15.99970
   15.91566   15.80557   15.67242   15.51930   15.35001   15.16810
 
  363.86600  172.42444   66.09082   39.46799   28.93024   23.44415   20.65720
   18.80753   17.62006   16.85563   16.32141   15.93372   15.68766   15.49915
   15.37242   15.27862   15.22686   15.19897   15.19351   15.20864   15.23799
   15.28665   15.34504   15.41593   15.49512   15.57869   15.66452   15.74796
   15.82417   15.88872   15.93615   15.96276   15.96456   15.93911   15.88617
   15.80521   15.69855   15.56845   15.41845   15.25211   15.07313
 
  360.34816  157.16568   60.55934   36.56662   27.08200   22.19347   19.75207
   17.99267   17.04628   16.37731   15.92832   15.61067   15.38245   15.22090
   15.11234   15.04805   15.00383   14.98772   14.99163   15.01442   15.05014
   15.10180   15.16483   15.23769   15.31687   15.40263   15.48957   15.57399
   15.65170   15.71822   15.76773   15.79701   15.80178   15.78015   15.73074
   15.65403   15.55124   15.42540   15.27949   15.11695   14.94158
 
  355.95496  144.95867   55.40935   33.89134   25.36495   20.94282   18.84697
   17.34083   16.47254   15.89904   15.49600   15.23385   15.05824   14.92882
   14.84196   14.79375   14.76235   14.75698   14.76619   14.79130   14.83035
   14.88573   14.95048   15.02360   15.10609   15.19174   15.27921   15.36423
   15.44309   15.51078   15.56271   15.59435   15.60264   15.58468   15.53935
   15.46739   15.36960   15.24845   15.10725   14.94929   14.77824
 
   13.86764   13.73290   13.82832   13.88390   13.87094   14.06490   14.02044
   13.91928   13.89137   13.86704   13.88523   13.91558   13.91462   13.94200
   13.95878   13.99194   14.02644   14.07068   14.11871   14.17822   14.24217
   14.31572   14.39742   14.48562   14.57950   14.67806   14.77759   14.87530
   14.96747   15.04959   15.11766   15.16708   15.19387   15.19530   15.16994
   15.11749   15.03900   14.93621   14.81234   14.67039   14.51407
 
 
  constant for Brems sampling table at high energies
  7.757606443346066E-004   77.5760644334607        1.88972774332042               50  2.500000000000000E-002  0.100000000000000        6162085.83182880       2.500000000000000E-002  0.200000000000000        1.00000000000000               33  0.000000000000000E+000  0.668740304976422               21          20  3.343701524882110E-002          50  7.500000000000000E-002   367052.125519688        4.00000000000000
 
 ice     
 Brems total X-sec. table with C.S+LPM upto E=   6162085.83182881      GeV
   77.57607       13.35348    
   97.66248       13.13204    
   122.9498       13.01015    
   154.7846       12.85545    
   194.8623       12.67232    
   245.3171       12.46552    
   308.8359       12.24146    
   388.8013       12.00032    
   489.4719       11.74547    
   616.2086       11.48125    
   775.7606       11.20774    
   976.6248       10.92863    
   1229.498       10.64256    
   1547.846       10.35251    
   1948.623       10.05879    
   2453.171       9.762169    
   3088.359       9.464947    
   3888.013       9.164282    
   4894.719       8.863878    
   6162.086       8.561501    
   7757.606       8.259159    
   9766.248       7.956712    
   12294.98       7.654440    
   15478.46       7.353484    
   19486.23       7.053095    
   24531.71       6.753865    
   30883.59       6.456303    
   38880.13       6.160908    
   48947.19       5.868198    
   61620.86       5.578737    
   77576.06       5.293120    
   97662.48       5.011979    
   122949.8       4.736451    
   154784.6       4.466182    
   194862.3       4.202321    
   245317.1       3.945505    
   308835.9       3.696340    
   388801.3       3.455309    
   489471.9       3.222868    
   616208.6       2.999566    
   775760.6       2.785672    
   976624.8       2.581489    
   1229498.       2.387237    
   1547846.       2.203050    
   1948623.       2.028984    
   2453170.       1.865088    
   3088359.       1.711150    
   3888013.       1.567126    
   4894719.       1.432727    
   6162086.       1.307662    
 
 Brems with LPM sampling tbl for small Eg
    0.33224    0.29852    0.26902    0.24304    0.22005    0.19964    0.18146
    0.16523    0.15073    0.13774    0.12611    0.11569    0.10635    0.09799
    0.09046    0.08378    0.07788    0.07269    0.06807    0.06396    0.06030
    0.05701    0.05405    0.05138    0.04896    0.04675    0.04473    0.04287
    0.04114    0.03954    0.04866    0.04495    0.03513
 
    0.33771    0.30383    0.27417    0.24803    0.22488    0.20431    0.18598
    0.16960    0.15495    0.14182    0.13006    0.11951    0.11005    0.10156
    0.09393    0.08717    0.08121    0.07595    0.07126    0.06708    0.06333
    0.05997    0.05694    0.05419    0.05170    0.04942    0.04732    0.04539
    0.04359    0.04191    0.04996    0.04688    0.03723
 
    0.34247    0.30858    0.27888    0.25268    0.22946    0.20881    0.19038
    0.17391    0.15915    0.14592    0.13405    0.12340    0.11384    0.10523
    0.09754    0.09075    0.08472    0.07939    0.07463    0.07038    0.06656
    0.06312    0.06001    0.05719    0.05462    0.05226    0.05009    0.04808
    0.04621    0.04445    0.05120    0.04876    0.03947
 
    0.34755    0.31365    0.28391    0.25766    0.23437    0.21363    0.19511
    0.17853    0.16367    0.15034    0.13836    0.12760    0.11794    0.10921
    0.10147    0.09462    0.08854    0.08313    0.07828    0.07395    0.07005
    0.06652    0.06333    0.06043    0.05777    0.05533    0.05308    0.05099
    0.04904    0.04719    0.05237    0.05058    0.04186
 
    0.35291    0.31900    0.28924    0.26293    0.23957    0.21875    0.20014
    0.18346    0.16849    0.15505    0.14296    0.13209    0.12231    0.11351
    0.10572    0.09880    0.09264    0.08714    0.08222    0.07779    0.07380
    0.07019    0.06690    0.06391    0.06116    0.05864    0.05630    0.05412
    0.05208    0.05014    0.05347    0.05233    0.04443
 
    0.35859    0.32469    0.29489    0.26854    0.24512    0.22421    0.20550
    0.18873    0.17365    0.16010    0.14790    0.13693    0.12697    0.11810
    0.11024    0.10325    0.09701    0.09143    0.08641    0.08189    0.07781
    0.07410    0.07072    0.06763    0.06479    0.06217    0.05974    0.05747
    0.05533    0.05330    0.05450    0.05401    0.04717
 
    0.36449    0.33060    0.30079    0.27439    0.25090    0.22992    0.21112
    0.19425    0.17907    0.16541    0.15310    0.14201    0.13195    0.12304
    0.11511    0.10804    0.10171    0.09603    0.09091    0.08629    0.08211
    0.07830    0.07482    0.07163    0.06869    0.06597    0.06344    0.06107
    0.05883    0.05669    0.05547    0.05562    0.05010
 
    0.37064    0.33677    0.30694    0.28051    0.25697    0.23592    0.21703
    0.20006    0.18478    0.17102    0.15860    0.14736    0.13726    0.12828
    0.12029    0.11313    0.10671    0.10093    0.09571    0.09098    0.08669
    0.08277    0.07919    0.07589    0.07285    0.07002    0.06739    0.06491
    0.06257    0.06032    0.05638    0.05716    0.05322
 
    0.37703    0.34319    0.31336    0.28690    0.26330    0.24218    0.22322
    0.20616    0.19079    0.17692    0.16440    0.15301    0.14290    0.13385
    0.12579    0.11854    0.11201    0.10613    0.10080    0.09597    0.09156
    0.08754    0.08384    0.08043    0.07728    0.07434    0.07160    0.06902
    0.06656    0.06420    0.05723    0.05861    0.05654
 
    0.38369    0.34988    0.32006    0.29358    0.26994    0.24876    0.22973
    0.21258    0.19712    0.18315    0.17048    0.15904    0.14886    0.13979
    0.13159    0.12424    0.11762    0.11163    0.10620    0.10125    0.09673
    0.09259    0.08877    0.08525    0.08199    0.07894    0.07608    0.07339
    0.07082    0.06833    0.05802    0.05999    0.06006
 
    0.39056    0.35680    0.32699    0.30050    0.27682    0.25559    0.23649
    0.21927    0.20372    0.18967    0.17687    0.16541    0.15517    0.14601
    0.13772    0.13029    0.12356    0.11746    0.11191    0.10685    0.10221
    0.09795    0.09402    0.09038    0.08699    0.08383    0.08086    0.07804
    0.07535    0.07273    0.07012    0.06129    0.06380
 
    0.39764    0.36394    0.33416    0.30766    0.28397    0.26269    0.24354
    0.22625    0.21062    0.19644    0.18359    0.17210    0.16180    0.15255
    0.14421    0.13667    0.12984    0.12363    0.11796    0.11278    0.10802
    0.10363    0.09958    0.09582    0.09231    0.08903    0.08593    0.08299
    0.08017    0.07742    0.07466    0.06251    0.06777
 
    0.40494    0.37131    0.34157    0.31508    0.29137    0.27007    0.25086
    0.23351    0.21782    0.20352    0.19066    0.17914    0.16879    0.15947
    0.15104    0.14340    0.13646    0.13013    0.12435    0.11904    0.11416
    0.10965    0.10547    0.10159    0.09795    0.09454    0.09132    0.08825
    0.08530    0.08241    0.07949    0.06366    0.07197
 
    0.41245    0.37890    0.34920    0.32274    0.29903    0.27770    0.25846
    0.24106    0.22528    0.21094    0.19811    0.18656    0.17615    0.16674
    0.15823    0.15049    0.14344    0.13699    0.13109    0.12566    0.12065
    0.11601    0.11171    0.10769    0.10393    0.10039    0.09704    0.09384
    0.09075    0.08771    0.08463    0.06473    0.07642
 
    0.42023    0.38679    0.35716    0.33072    0.30702    0.28569    0.26642
    0.24898    0.23305    0.21877    0.20584    0.19426    0.18380    0.17433
    0.16573    0.15789    0.15074    0.14418    0.13815    0.13260    0.12747
    0.12270    0.11827    0.11412    0.11023    0.10656    0.10307    0.09974
    0.09651    0.09332    0.09007    0.06573    0.08112
 
    0.42818    0.39485    0.36529    0.33890    0.31522    0.29389    0.27461
    0.25713    0.24119    0.22691    0.21400    0.20239    0.19188    0.18234
    0.17365    0.16571    0.15844    0.15177    0.14562    0.13994    0.13468
    0.12978    0.12521    0.12094    0.11691    0.11310    0.10948    0.10600
    0.10262    0.09928    0.09585    0.06667    0.08609
 
    0.43634    0.40314    0.37367    0.34734    0.32370    0.30238    0.28311
    0.26550    0.24970    0.23544    0.22253    0.21091    0.20034    0.19072
    0.18195    0.17391    0.16654    0.15974    0.15347    0.14767    0.14227
    0.13724    0.13254    0.12812    0.12396    0.12001    0.11625    0.11263
    0.10910    0.10560    0.10198    0.06755    0.09134
 
    0.44477    0.41171    0.38235    0.35610    0.33251    0.31122    0.29193
    0.27432    0.25856    0.24431    0.23150    0.21975    0.20914    0.19946
    0.19060    0.18247    0.17498    0.16808    0.16169    0.15575    0.15023
    0.14507    0.14023    0.13568    0.13138    0.12729    0.12338    0.11961
    0.11593    0.11226    0.10846    0.12526    0.09686
 
    0.45336    0.42046    0.39122    0.36506    0.34154    0.32030    0.30093
    0.28348    0.26777    0.25355    0.24073    0.22906    0.21840    0.20865
    0.19970    0.19147    0.18388    0.17686    0.17034    0.16428    0.15863
    0.15333    0.14835    0.14366    0.13922    0.13499    0.13093    0.12701
    0.12317    0.11933    0.11533    0.12606    0.10269
 
    0.46222    0.42950    0.40040    0.37435    0.35091    0.32968    0.31039
    0.29307    0.27743    0.26330    0.25041    0.23871    0.22801    0.21819
    0.20917    0.20085    0.19315    0.18602    0.17938    0.17320    0.16741
    0.16198    0.15687    0.15203    0.14745    0.14307    0.13887    0.13479
    0.13079    0.12677    0.12257    0.12680    0.10882
 
    0.47132    0.43880    0.40986    0.38393    0.36059    0.33927    0.32016
    0.30297    0.28743    0.27333    0.26049    0.24876    0.23802    0.22815
    0.21904    0.21063    0.20284    0.19559    0.18884    0.18253    0.17661
    0.17105    0.16580    0.16083    0.15610    0.15157    0.14722    0.14299
    0.13882    0.13462    0.13021    0.12748    0.11527
 
    0.48062    0.44831    0.41954    0.39377    0.37038    0.34936    0.33044
    0.31337    0.29791    0.28385    0.27103    0.25928    0.24850    0.23856
    0.22938    0.22088    0.21298    0.20563    0.19875    0.19232    0.18627
    0.18057    0.17519    0.17007    0.16520    0.16053    0.15602    0.15163
    0.14729    0.14290    0.13827    0.12811    0.12205
 
    0.49017    0.45810    0.42953    0.40391    0.38062    0.35980    0.34110
    0.32416    0.30878    0.29477    0.28196    0.27020    0.25938    0.24939
    0.24014    0.23155    0.22355    0.21609    0.20910    0.20254    0.19637
    0.19054    0.18501    0.17976    0.17474    0.16992    0.16525    0.16070
    0.15619    0.15161    0.14676    0.12869    0.12916
 
    0.49998    0.46816    0.43981    0.41428    0.39126    0.37064    0.35215
    0.33535    0.32006    0.30610    0.29330    0.28154    0.27068    0.26064
    0.25132    0.24265    0.23456    0.22699    0.21989    0.21321    0.20691
    0.20095    0.19529    0.18990    0.18473    0.17976    0.17494    0.17022
    0.16554    0.16077    0.15569    0.12923    0.13662
 
    0.51004    0.47850    0.45035    0.42494    0.40231    0.38190    0.36362
    0.34695    0.33175    0.31784    0.30507    0.29330    0.28241    0.27232
    0.26294    0.25419    0.24601    0.23834    0.23113    0.22434    0.21792
    0.21182    0.20603    0.20049    0.19518    0.19006    0.18509    0.18021
    0.17534    0.17038    0.16507    0.15871    0.14443
 
    0.52042    0.48919    0.46112    0.43620    0.41384    0.39367    0.37556
    0.35885    0.34376    0.32991    0.31717    0.30541    0.29451    0.28438
    0.27494    0.26612    0.25786    0.25010    0.24278    0.23588    0.22934
    0.22312    0.21719    0.21152    0.20607    0.20081    0.19567    0.19063
    0.18559    0.18042    0.17487    0.16819    0.15257
 
    0.53099    0.50004    0.47226    0.44767    0.42558    0.40579    0.38768
    0.37132    0.35631    0.34252    0.32981    0.31805    0.30712    0.29696
    0.28746    0.27857    0.27023    0.26237    0.25496    0.24794    0.24128
    0.23494    0.22888    0.22308    0.21748    0.21207    0.20678    0.20157
    0.19634    0.19098    0.18518    0.17816    0.16110
 
    0.54184    0.51109    0.48384    0.45959    0.43779    0.41821    0.40043
    0.38419    0.36928    0.35555    0.34287    0.33111    0.32017    0.30997
    0.30043    0.29147    0.28305    0.27510    0.26759    0.26047    0.25369
    0.24723    0.24105    0.23511    0.22938    0.22381    0.21837    0.21298
    0.20758    0.20201    0.19597    0.18859    0.17000
 
    0.55292    0.52261    0.49585    0.47196    0.45055    0.43118    0.41356
    0.39737    0.38257    0.36891    0.35627    0.34453    0.33358    0.32335
    0.31377    0.30476    0.29626    0.28824    0.28063    0.27341    0.26653
    0.25996    0.25365    0.24758    0.24171    0.23600    0.23041    0.22486
    0.21927    0.21350    0.20721    0.19947    0.17925
 
    0.56423    0.53453    0.50824    0.48475    0.46361    0.44447    0.42702
    0.41103    0.39633    0.38274    0.37014    0.35842    0.34747    0.33722
    0.32759    0.31852    0.30996    0.30186    0.29417    0.28685    0.27987
    0.27318    0.26676    0.26056    0.25456    0.24870    0.24295    0.23724
    0.23148    0.22549    0.21895    0.21085    0.18889
 
    0.57604    0.54692    0.52109    0.49797    0.47713    0.45821    0.44095
    0.42510    0.41050    0.39699    0.38443    0.37272    0.36178    0.35151
    0.34185    0.33273    0.32411    0.31594    0.30817    0.30076    0.29367
    0.28688    0.28034    0.27402    0.26789    0.26189    0.25599    0.25012
    0.24417    0.23798    0.23118    0.22271    0.19955
 
    0.58818    0.55964    0.53427    0.51152    0.49097    0.47229    0.45521
    0.43952    0.42502    0.41158    0.39908    0.38740    0.37646    0.36618
    0.35650    0.34734    0.33867    0.33044    0.32259    0.31509    0.30792
    0.30102    0.29437    0.28794    0.28168    0.27555    0.26950    0.26347
    0.25734    0.25094    0.24388    0.23504    0.21097
 
    0.60062    0.57269    0.54778    0.52541    0.50516    0.48672    0.46983
    0.45428    0.43990    0.42654    0.41409    0.40245    0.39153    0.38124
    0.37154    0.36235    0.35363    0.34534    0.33743    0.32985    0.32259
    0.31560    0.30885    0.30230    0.29592    0.28966    0.28347    0.27728
    0.27098    0.26437    0.25706    0.24783    0.22284
 
    0.61337    0.58607    0.56162    0.53962    0.51967    0.50147    0.48477
    0.46937    0.45511    0.44184    0.42946    0.41785    0.40695    0.39667
    0.38696    0.37774    0.36899    0.36064    0.35267    0.34503    0.33769
    0.33061    0.32376    0.31711    0.31061    0.30423    0.29790    0.29155
    0.28508    0.27827    0.27069    0.26109    0.23517
 
    0.62676    0.59976    0.57577    0.55413    0.53448    0.51653    0.50002
    0.48478    0.47064    0.45747    0.44515    0.43360    0.42272    0.41245
    0.40273    0.39350    0.38471    0.37633    0.36830    0.36060    0.35319
    0.34603    0.33909    0.33233    0.32573    0.31922    0.31277    0.30627
    0.29963    0.29261    0.28478    0.27480    0.24795
 
    0.64012    0.61397    0.59043    0.56914    0.54978    0.53205    0.51573
    0.50064    0.48662    0.47353    0.46129    0.44978    0.43893    0.42867
    0.41895    0.40970    0.40089    0.39247    0.38439    0.37663    0.36915
    0.36191    0.35489    0.34804    0.34133    0.33471    0.32812    0.32148
    0.31467    0.30746    0.29937    0.28899    0.26121
 
    0.65379    0.62823    0.60517    0.58426    0.56519    0.54770    0.53159
    0.51665    0.50276    0.48978    0.47761    0.46616    0.45535    0.44512
    0.43540    0.42615    0.41732    0.40887    0.40076    0.39295    0.38542
    0.37811    0.37102    0.36408    0.35728    0.35055    0.34384    0.33706
    0.33009    0.32268    0.31434    0.30358    0.27486
 
    0.66799    0.64271    0.62014    0.59960    0.58084    0.56360    0.54768
    0.53292    0.51915    0.50628    0.49420    0.48281    0.47204    0.46184
    0.45215    0.44290    0.43406    0.42559    0.41745    0.40961    0.40202
    0.39466    0.38749    0.38048    0.37359    0.36676    0.35994    0.35303
    0.34590    0.33830    0.32971    0.31856    0.28893
 
    0.68209    0.65764    0.63550    0.61532    0.59685    0.57986    0.56414
    0.54953    0.53590    0.52313    0.51113    0.49980    0.48909    0.47892
    0.46924    0.46001    0.45117    0.44268    0.43452    0.42663    0.41901
    0.41159    0.40437    0.39728    0.39031    0.38338    0.37645    0.36941
    0.36213    0.35434    0.34551    0.33397    0.30344
 
    0.69640    0.67254    0.65088    0.63109    0.61293    0.59618    0.58067
    0.56623    0.55274    0.54009    0.52818    0.51693    0.50628    0.49616
    0.48651    0.47729    0.46845    0.45996    0.45179    0.44388    0.43622
    0.42876    0.42148    0.41434    0.40729    0.40028    0.39325    0.38609
    0.37867    0.37070    0.36162    0.34971    0.31829
 
    0.71110    0.68779    0.66639    0.64700    0.62915    0.61266    0.59736
    0.58310    0.56975    0.55722    0.54541    0.53424    0.52365    0.51358
    0.50397    0.49477    0.48595    0.47747    0.46928    0.46137    0.45368
    0.44619    0.43886    0.43167    0.42455    0.41747    0.41034    0.40307
    0.39551    0.38737    0.37806    0.36577    0.33350
 
    0.72563    0.70292    0.68219    0.66317    0.64562    0.62938    0.61429
    0.60021    0.58701    0.57459    0.56288    0.55180    0.54127    0.53125
    0.52167    0.51251    0.50371    0.49524    0.48705    0.47912    0.47142
    0.46390    0.45654    0.44929    0.44212    0.43496    0.42775    0.42038
    0.41269    0.40438    0.39484    0.38217    0.34908
 
    0.74044    0.71816    0.69791    0.67928    0.66207    0.64610    0.63122
    0.61732    0.60427    0.59199    0.58038    0.56939    0.55894    0.54898
    0.53945    0.53033    0.52155    0.51310    0.50492    0.49699    0.48928
    0.48175    0.47436    0.46707    0.45985    0.45263    0.44534    0.43787
    0.43006    0.42160    0.41183    0.39880    0.36493
 
    0.75511    0.73361    0.71383    0.69559    0.67856    0.66286    0.64820
    0.63448    0.62159    0.60944    0.59795    0.58705    0.57668    0.56679
    0.55732    0.54824    0.53950    0.53107    0.52291    0.51499    0.50728
    0.49973    0.49233    0.48501    0.47775    0.47048    0.46312    0.45557
    0.44764    0.43903    0.42905    0.41565    0.38104
 
    0.76972    0.74885    0.72958    0.71174    0.69518    0.67975    0.66531
    0.65178    0.63905    0.62703    0.61565    0.60485    0.59456    0.58474
    0.57533    0.56630    0.55760    0.54919    0.54105    0.53315    0.52543
    0.51789    0.51047    0.50313    0.49584    0.48852    0.48110    0.47347
    0.46543    0.45667    0.44648    0.43274    0.39744
 
    0.78444    0.76420    0.74532    0.72789    0.71167    0.69651    0.68232
    0.66898    0.65641    0.64453    0.63328    0.62258    0.61238    0.60263
    0.59329    0.58431    0.57566    0.56729    0.55918    0.55130    0.54360
    0.53606    0.52863    0.52128    0.51396    0.50661    0.49914    0.49143
    0.48331    0.47441    0.46403    0.44994    0.41401
 
    0.79891    0.77933    0.76108    0.74407    0.72818    0.71330    0.69934
    0.68620    0.67379    0.66206    0.65093    0.64033    0.63022    0.62056
    0.61128    0.60236    0.59376    0.58544    0.57736    0.56950    0.56182
    0.55429    0.54687    0.53951    0.53217    0.52479    0.51727    0.50951
    0.50129    0.49227    0.48169    0.46728    0.43077
 
    0.81328    0.79436    0.77665    0.76007    0.74452    0.72993    0.71621
    0.70327    0.69104    0.67946    0.66845    0.65796    0.64795    0.63837
    0.62917    0.62031    0.61177    0.60349    0.59546    0.58763    0.57998
    0.57246    0.56505    0.55770    0.55035    0.54295    0.53540    0.52758
    0.51928    0.51014    0.49939    0.48465    0.44764
 
    0.82748    0.80924    0.79207    0.77592    0.76074    0.74644    0.73296
    0.72023    0.70818    0.69674    0.68587    0.67550    0.66558    0.65609
    0.64697    0.63818    0.62969    0.62147    0.61349    0.60570    0.59807
    0.59059    0.58319    0.57584    0.56849    0.56107    0.55349    0.54563
    0.53726    0.52801    0.51709    0.50205    0.46460
 
    0.84144    0.82390    0.80729    0.79160    0.77678    0.76278    0.74955
    0.73703    0.72516    0.71387    0.70313    0.69287    0.68307    0.67366
    0.66462    0.65591    0.64748    0.63932    0.63138    0.62364    0.61605
    0.60859    0.60122    0.59388    0.58654    0.57911    0.57152    0.56361
    0.55518    0.54584    0.53475    0.51942    0.48162
 
 
 Brems with LPM smp tbl; (sqrt(v)-sqrt(vmin)/(1-u)
   13.13237   13.11300   13.13548   13.19529   13.16442   13.18276   13.22831
   13.30011   13.41256   13.56600   13.75760   13.97575   14.18659   14.34190
   14.39102   14.30357   14.08334   13.76194   13.38091   12.97833   12.58278
 
   13.07270   13.11302   13.07588   13.04440   13.06867   13.12358   13.16097
   13.23665   13.34875   13.50157   13.69386   13.90906   14.11951   14.27533
   14.32583   14.24114   14.02433   13.70635   13.32823   12.92808   12.53432
 
   12.99159   13.01767   12.99243   13.04442   13.02081   13.04467   13.08402
   13.15732   13.26582   13.41641   13.60556   13.81989   14.02839   14.18443
   14.23722   14.15619   13.94398   13.63058   13.25650   12.85965   12.46844
 
   12.89064   12.92231   12.89109   12.89354   12.92506   12.92630   12.97822
   13.05157   13.16061   13.30847   13.49568   13.70729   13.91467   14.07121
   14.12705   14.05055   13.84402   13.53617   13.16710   12.77430   12.38629
 
   12.77267   12.73159   12.77186   12.74265   12.78143   12.80794   12.86281
   12.93000   13.03952   13.18404   13.36719   13.57674   13.78235   13.93910
   13.99785   13.92698   13.72679   13.42558   13.06240   12.67450   12.29023
 
   12.63765   12.63623   12.64071   12.59176   12.63781   12.66987   12.71858
   12.79262   12.89621   13.04110   13.22019   13.42731   13.63078   13.78768
   13.84997   13.78502   13.59236   13.29867   12.94234   12.55996   12.18003
 
   12.49060   12.44550   12.49167   12.44088   12.49419   12.53181   12.57438
   12.64474   12.74346   12.88385   13.06195   13.26446   13.46561   13.62281
   13.68871   13.63004   13.44566   13.16026   12.81117   12.43490   12.05979
 
   12.33172   12.35014   12.33070   12.28999   12.35058   12.37404   12.41099
   12.48108   12.57812   12.71647   12.88968   13.08832   13.28702   13.44474
   13.51409   13.46242   13.28658   13.01002   12.66910   12.29955   11.92961
 
   12.16262   12.15941   12.16378   12.13911   12.15910   12.19657   12.23804
   12.30695   12.40339   12.53695   12.70633   12.90113   13.09726   13.25476
   13.32797   13.28370   13.11686   12.84980   12.51740   12.15498   11.79076
 
   11.98357   11.96868   11.98492   11.98822   12.01550   12.01912   12.05552
   12.12237   12.21930   12.34740   12.51198   12.70301   12.89609   13.05380
   13.13065   13.09372   12.93656   12.67943   12.35626   12.00148   11.64329
 
   11.79754   11.77794   11.80011   11.83734   11.82404   11.84170   11.87306
   11.93262   12.02587   12.14991   12.31098   12.49722   12.68778   12.84479
   12.92542   12.89591   12.74868   12.50179   12.18809   11.84147   11.48975
 
   11.60523   11.58721   11.60337   11.53558   11.63259   11.64459   11.68106
   11.73771   11.82629   11.94659   12.10338   12.28489   12.47205   12.62895
   12.71284   12.69084   12.55363   12.31747   12.01370   11.67556   11.33048
 
   11.40729   11.39647   11.40664   11.38470   11.44115   11.44751   11.47952
   11.53238   11.62060   11.73747   11.88924   12.06714   12.25024   12.40644
   12.49400   12.47937   12.35215   12.12702   11.83345   11.50410   11.16606
 
   11.20499   11.20574   11.20394   11.23383   11.20187   11.23075   11.26845
   11.32718   11.41196   11.52461   11.67143   11.84404   12.02367   12.17874
   12.26971   12.26257   12.14551   11.93153   11.64851   11.32816   10.99749
 
   10.99677   11.01500   10.99528   10.93208   11.01046   11.03374   11.05745
   11.11685   11.19407   11.30599   11.44716   11.61463   11.79042   11.94470
   12.03845   12.03862   11.93202   11.72937   11.45723   11.14633   10.82335
 
   10.78683   10.82427   10.78662   10.78122   10.81906   10.81705   10.84653
   10.90140   10.97643   11.08369   11.22213   11.38412   11.55580   11.70838
   11.80498   11.81221   11.71583   11.52457   11.26348   10.96225   10.64712
 
   10.57401   10.53816   10.57199   10.63035   10.57983   10.60041   10.63567
   10.68084   10.75903   10.85977   10.99211   11.15050   11.31786   11.46920
   11.56800   11.58221   11.49580   11.31619   11.06622   10.77478   10.46776
 
   10.35747   10.34743   10.35737   10.32862   10.38845   10.38380   10.41531
   10.46042   10.53243   10.63219   10.75997   10.91277   11.07628   11.22535
   11.32657   11.34736   11.27123   11.10305   10.86449   10.58315   10.28452
 
   10.14059   10.15669   10.14275   10.17776   10.14925   10.16722   10.19503
   10.24015   10.30924   10.40503   10.52710   10.67506   10.83425   10.98139
   11.08439   11.11155   11.04519   10.88850   10.66137   10.39031   10.10021
 
    9.92069    9.96595    9.92217    9.87605    9.91006    9.95068    9.97482
   10.01479   10.08317   10.17426   10.29214   10.43435   10.58908   10.73421
   10.83884   10.87178   10.81490   10.66987   10.45446   10.19379    9.91247
 
    9.69928    9.67985    9.70159    9.72520    9.71873    9.71450    9.74513
    9.78958    9.85422    9.94190   10.05509   10.19268   10.34219   10.48514
   10.59087   10.62968   10.58223   10.44860   10.24487    9.99486    9.72252
 
    9.47770    9.48911    9.48102    9.42350    9.47958    9.49804    9.52508
    9.56452    9.62554    9.70998    9.81875    9.95007   10.09592   10.23612
   10.34268   10.38682   10.34847   10.22605   10.03395    9.79475    9.53156
 
    9.25485    9.29838    9.25448    9.27265    9.24045    9.28162    9.30512
    9.33961    9.39712    9.47649    9.58034    9.70754    9.84816    9.98563
   10.09277   10.14167   10.11227   10.00108    9.82069    9.59235    9.33848
 
    9.03111    9.01227    9.03390    8.97096    9.04915    9.04556    9.07567
    9.10963    9.16585    9.24144    9.34265    9.46410    9.60048    9.73433
    9.84175    9.89531    9.87429    9.77408    9.60524    9.38798    9.14360
 
    8.80677    8.82153    8.80736    8.82013    8.81005    8.82921    8.84631
    8.88502    8.93486    9.00684    9.10292    9.21977    9.35137    9.48257
    9.58994    9.64740    9.63449    9.54510    9.38803    9.18172    8.94712
 
    8.58076    8.53543    8.58082    8.51845    8.57097    8.59323    8.61703
    8.65536    8.70102    8.77270    8.86255    8.97455    9.10163    9.22889
    9.33591    9.39720    9.39208    9.31325    9.16783    8.97276    8.74803
 
    8.35611    8.34469    8.35429    8.36762    8.37972    8.37696    8.39739
    8.42585    8.47057    8.53700    8.62426    8.73141    8.85276    8.97690
    9.08323    9.14789    9.15005    9.08146    8.94751    8.76365    8.54890
 
    8.13131    8.15396    8.13371    8.06596    8.14067    8.14107    8.16828
    8.19649    8.24039    8.30375    8.38531    8.48838    8.60474    8.72512
    8.83042    8.89779    8.90693    8.84838    8.72571    8.55313    8.34844
 
    7.90545    7.86785    7.90718    7.91513    7.90164    7.92487    7.93925
    7.96730    8.01049    8.06896    8.14708    8.24448    8.35611    8.47239
    8.57632    8.64617    8.66193    8.61293    8.50148    8.34010    8.14749
 
    7.68056    7.67711    7.68065    7.61349    7.71042    7.68906    7.71031
    7.73826    7.77775    7.83463    7.90821    8.00166    8.10835    8.22107
    8.32339    8.39522    8.41674    8.37700    8.27668    8.12655    7.94620
 
    7.45606    7.48638    7.45412    7.46267    7.47143    7.47294    7.48146
    7.50938    7.54839    7.60074    7.67140    7.75992    7.86217    7.97056
    8.07092    8.14414    8.17128    8.14040    8.05080    7.91177    7.74022
 
    7.23166    7.20027    7.23355    7.16104    7.23245    7.23722    7.26222
    7.28066    7.31930    7.36927    7.43528    7.51829    7.61612    7.72030
    7.81847    7.89283    7.92496    7.90268    7.82354    7.70023    7.53274
 
    7.00765    7.00954    7.00702    7.01023    6.99348    7.02117    7.03353
    7.05729    7.09047    7.13627    7.19852    7.27772    7.37091    7.47072
    7.56675    7.64173    7.67843    7.66387    7.59514    7.48431    7.32419
 
    6.78427    6.81880    6.78645    6.85942    6.80233    6.80517    6.80493
    6.82887    6.86192    6.90569    6.96380    7.03821    7.12655    7.22238
    7.31556    7.39090    7.43166    7.42469    7.36582    7.26623    7.11489
 
    6.56171    6.53270    6.55992    6.55780    6.56340    6.56956    6.58593
    6.60580    6.63363    6.67554    6.72975    6.80068    6.88372    6.97512
    7.06580    7.14096    7.18507    7.18514    7.13826    7.04058    6.89942
 
    6.34130    6.34196    6.33936    6.40700    6.32449    6.35363    6.36700
    6.38288    6.40868    6.44778    6.49904    6.56512    6.64381    6.73112
    6.81856    6.89323    6.94024    6.94676    6.91330    6.81966    6.68907
 
    6.12121    6.15122    6.11879    6.10540    6.13337    6.13774    6.13865
    6.16011    6.18400    6.22045    6.26900    6.33058    6.40468    6.48760
    6.57183    6.64565    6.69507    6.71019    6.67746    6.59715    6.47829
 
    5.90258    5.86512    5.90419    5.95461    5.89449    5.90226    5.91988
    5.93749    5.95957    5.99550    6.03961    6.09797    6.16772    6.24619
    6.32712    6.39973    6.45093    6.47214    6.44504    6.37461    6.26380
 
    5.68646    5.67438    5.68959    5.65302    5.70341    5.68644    5.70120
    5.72018    5.74154    5.77291    5.81482    5.86820    5.93358    6.00842
    6.08547    6.15650    6.20926    6.23453    6.21319    6.14875    6.05519
 
    5.47164    5.48365    5.46903    5.50223    5.46456    5.47066    5.49209
    5.50302    5.52069    5.55072    5.59065    5.64032    5.70222    5.77214
    5.84575    5.91503    5.97212    5.99995    5.98143    5.92777    5.84781
 
    5.25902    5.29291    5.26039    5.20066    5.27350    5.27452    5.27356
    5.28600    5.30621    5.33283    5.36842    5.41614    5.47292    5.53887
    5.60907    5.67599    5.73340    5.75909    5.75107    5.70868    5.63919
 
    5.04949    5.00681    5.05175    5.04988    5.03469    5.05881    5.06460
    5.07429    5.09196    5.11727    5.15071    5.19472    5.24767    5.30959
    5.37576    5.44102    5.49969    5.52428    5.52038    5.48937    5.43712
 
    4.84219    4.81607    4.84311    4.89910    4.84365    4.84314    4.85571
    4.86787    4.88101    4.90403    4.93619    4.97602    5.02573    5.08320
    5.14586    5.21151    5.26450    5.29153    5.29507    5.27575    5.23528
 
    4.63791    4.62533    4.64044    4.59754    4.65262    4.64710    4.64689
    4.66157    4.67334    4.69502    4.72354    4.76091    4.80707    4.86066
    4.91968    4.98181    5.03234    5.06219    5.07341    5.06579    5.03924
 
    4.43740    4.43460    4.43776    4.44677    4.46161    4.45109    4.44763
    4.45540    4.47198    4.49023    4.51661    4.55028    4.59295    4.64290
    4.69871    4.75784    4.80452    4.83749    4.85647    4.85802    4.84778
 
    4.24007    4.24386    4.24105    4.29600    4.22286    4.23552    4.24843
    4.25966    4.27084    4.28771    4.31280    4.34316    4.38266    4.42882
    4.48321    4.53524    4.58074    4.61711    4.64190    4.65674    4.65846
 
    4.04686    4.05313    4.04434    3.99447    4.03187    4.05916    4.05878
    4.06404    4.07294    4.09131    4.11207    4.14132    4.17744    4.21984
    4.27070    4.31906    4.36231    4.40239    4.43497    4.46060    4.47570
 
    3.85750    3.86239    3.85955    3.84370    3.84090    3.86325    3.86918
    3.87367    3.88132    3.89713    3.91698    3.94381    3.97657    4.01735
    4.06343    4.10618    4.14956    4.19316    4.23342    4.26950    4.29758
 
    3.67252    3.67165    3.67476    3.69294    3.69767    3.66736    3.67965
    3.68341    3.69597    3.70902    3.72747    3.75058    3.78063    3.81973
    3.85935    3.89992    3.94380    3.99040    4.03804    4.08390    4.12464
 
    3.49210    3.48092    3.48997    3.54218    3.50672    3.49108    3.49964
    3.50354    3.51382    3.52503    3.54097    3.56337    3.59021    3.62691
    3.66179    3.70027    3.74486    3.79532    3.84977    3.90481    3.95730
 
 
  constant for Pair  sampling table at low energies
  1.100000000000000E-003  -2.95860731484178       8.000000000000000E-003   77.5760644334607        37091.5032679739               48          48  5.000000000000000E-002   1.00000000000000               41  2.375000000000000E-002  0.103156065067281       0.000000000000000E+000  0.472870804501588               41  1.182177011253970E-002  0.103156065067281       4.684879822416502E-002
 
 ice     
total pair x-sec. at low E
  1.1000012E-03  4.1857369E-05
  1.3949196E-03  2.4037596E-03
  1.7689080E-03  1.0257731E-02
  2.2431654E-03  2.4015889E-02
  2.8445749E-03  4.3041106E-02
  3.6072268E-03  6.6486232E-02
  4.5743515E-03  9.3556888E-02
  5.8007692E-03  0.1235713    
  7.3559987E-03  0.1559585    
  9.3281968E-03  0.1902160    
  1.1829156E-02  0.2265756    
  1.5000641E-02  0.2633811    
  1.9022426E-02  0.3004554    
  2.4122480E-02  0.3374824    
  3.0589897E-02  0.3741799    
  3.8791280E-02  0.4102816    
  4.9191512E-02  0.4455280    
  6.2380124E-02  0.4796653    
  7.9104699E-02  0.5124603    
  0.1003133      0.5437561    
  0.1272080      0.5732691    
  0.1613134      0.5995008    
  0.2045628      0.6238044    
  0.2594076      0.6459239    
  0.3289567      0.6655226    
  0.4171524      0.6827986    
  0.5289941      0.6979016    
  0.6708214      0.7110099    
  0.8506736      0.7224083    
   1.078745      0.7320465    
   1.367965      0.7402872    
   1.734727      0.7472622    
   2.199820      0.7531331    
   2.789608      0.7580709    
   3.537524      0.7621970    
   4.485960      0.7656340    
   5.688679      0.7684901    
   7.213857      0.7708583    
   9.147946      0.7728266    
   11.60058      0.7744417    
   14.71078      0.7757802    
   18.65485      0.7768834    
   23.65636      0.7777787    
   29.99880      0.7785205    
   38.04171      0.7791287    
   48.24097      0.7796260    
   61.17474      0.7800251    
   77.57614      0.7737484    
 
 Pair table (v-.5)/(1-u) at low E
    0.03277    0.03221    0.03176    0.03138    0.03105    0.03077    0.03050
    0.03028    0.03006    0.02988    0.02970    0.02954    0.02940    0.02926
    0.02912    0.02900    0.02891    0.02880    0.02870    0.02861    0.02853
    0.02846    0.02838    0.02831    0.02826    0.02820    0.02815    0.02811
    0.02805    0.02801    0.02797    0.02796    0.02790    0.02788    0.02785
    0.02788    0.02784    0.02788    0.02779    0.02788    0.02781
 
    0.12348    0.12135    0.11963    0.11818    0.11694    0.11585    0.11487
    0.11399    0.11320    0.11248    0.11181    0.11120    0.11064    0.11012
    0.10963    0.10919    0.10877    0.10838    0.10801    0.10768    0.10738
    0.10708    0.10681    0.10656    0.10633    0.10611    0.10591    0.10574
    0.10556    0.10541    0.10527    0.10517    0.10505    0.10495    0.10486
    0.10481    0.10473    0.10472    0.10469    0.10460    0.10465
 
    0.19498    0.19160    0.18889    0.18660    0.18464    0.18293    0.18140
    0.18002    0.17878    0.17764    0.17660    0.17564    0.17477    0.17396
    0.17320    0.17250    0.17185    0.17124    0.17068    0.17016    0.16968
    0.16921    0.16880    0.16841    0.16805    0.16771    0.16741    0.16714
    0.16687    0.16665    0.16642    0.16625    0.16607    0.16593    0.16582
    0.16567    0.16558    0.16553    0.16555    0.16535    0.16545
 
    0.25139    0.24707    0.24360    0.24071    0.23822    0.23604    0.23411
    0.23237    0.23080    0.22938    0.22807    0.22688    0.22578    0.22476
    0.22383    0.22296    0.22215    0.22141    0.22071    0.22006    0.21945
    0.21890    0.21838    0.21789    0.21745    0.21705    0.21666    0.21633
    0.21602    0.21572    0.21547    0.21524    0.21504    0.21483    0.21466
    0.21458    0.21445    0.21434    0.21432    0.21423    0.21427
 
    0.29599    0.29098    0.28699    0.28367    0.28083    0.27835    0.27615
    0.27419    0.27243    0.27082    0.26936    0.26802    0.26680    0.26567
    0.26462    0.26366    0.26278    0.26194    0.26118    0.26046    0.25980
    0.25920    0.25864    0.25811    0.25763    0.25718    0.25676    0.25641
    0.25606    0.25576    0.25549    0.25520    0.25499    0.25478    0.25464
    0.25452    0.25435    0.25433    0.25429    0.25419    0.25418
 
    0.33134    0.32589    0.32157    0.31800    0.31495    0.31231    0.30998
    0.30791    0.30605    0.30438    0.30286    0.30146    0.30019    0.29903
    0.29795    0.29696    0.29606    0.29522    0.29445    0.29371    0.29306
    0.29245    0.29186    0.29134    0.29087    0.29041    0.29000    0.28964
    0.28930    0.28897    0.28872    0.28847    0.28827    0.28808    0.28791
    0.28776    0.28764    0.28759    0.28749    0.28744    0.28745
 
    0.35949    0.35379    0.34931    0.34565    0.34252    0.33984    0.33749
    0.33541    0.33354    0.33188    0.33037    0.32901    0.32775    0.32663
    0.32558    0.32462    0.32376    0.32295    0.32219    0.32152    0.32088
    0.32030    0.31977    0.31927    0.31883    0.31840    0.31802    0.31769
    0.31737    0.31708    0.31684    0.31661    0.31640    0.31623    0.31610
    0.31595    0.31586    0.31578    0.31576    0.31570    0.31569
 
    0.38200    0.37624    0.37176    0.36810    0.36504    0.36240    0.36011
    0.35809    0.35630    0.35470    0.35327    0.35198    0.35081    0.34975
    0.34879    0.34790    0.34711    0.34637    0.34568    0.34508    0.34452
    0.34399    0.34352    0.34308    0.34269    0.34233    0.34200    0.34172
    0.34144    0.34121    0.34098    0.34078    0.34064    0.34050    0.34035
    0.34025    0.34016    0.34011    0.34000    0.33993    0.34002
 
    0.40015    0.39446    0.39008    0.38654    0.38358    0.38106    0.37889
    0.37700    0.37533    0.37386    0.37254    0.37137    0.37031    0.36937
    0.36851    0.36772    0.36702    0.36638    0.36581    0.36529    0.36480
    0.36438    0.36399    0.36363    0.36331    0.36303    0.36276    0.36254
    0.36232    0.36212    0.36195    0.36182    0.36168    0.36158    0.36146
    0.36139    0.36135    0.36129    0.36132    0.36111    0.36122
 
    0.41315    0.40767    0.40352    0.40024    0.39754    0.39527    0.39335
    0.39170    0.39026    0.38901    0.38790    0.38694    0.38607    0.38530
    0.38463    0.38404    0.38350    0.38301    0.38261    0.38222    0.38188
    0.38159    0.38133    0.38110    0.38089    0.38071    0.38055    0.38040
    0.38028    0.38016    0.38008    0.38001    0.37992    0.37989    0.37984
    0.37978    0.37976    0.37972    0.37965    0.37972    0.37970
 
    0.42615    0.42103    0.41720    0.41420    0.41175    0.40973    0.40802
    0.40658    0.40533    0.40426    0.40333    0.40255    0.40185    0.40126
    0.40073    0.40028    0.39988    0.39953    0.39926    0.39901    0.39879
    0.39861    0.39844    0.39832    0.39821    0.39813    0.39806    0.39800
    0.39795    0.39792    0.39789    0.39785    0.39784    0.39782    0.39784
    0.39782    0.39785    0.39782    0.39789    0.39782    0.39782
 
    0.43675    0.43201    0.42852    0.42580    0.42362    0.42184    0.42035
    0.41912    0.41807    0.41719    0.41645    0.41582    0.41530    0.41487
    0.41450    0.41419    0.41394    0.41374    0.41358    0.41345    0.41337
    0.41330    0.41326    0.41324    0.41323    0.41323    0.41327    0.41328
    0.41332    0.41334    0.41339    0.41342    0.41346    0.41351    0.41353
    0.41355    0.41359    0.41365    0.41363    0.41355    0.41364
 
    0.44552    0.44118    0.43801    0.43559    0.43367    0.43211    0.43085
    0.42984    0.42898    0.42831    0.42775    0.42728    0.42693    0.42664
    0.42645    0.42629    0.42617    0.42611    0.42608    0.42610    0.42613
    0.42619    0.42625    0.42633    0.42643    0.42653    0.42665    0.42675
    0.42687    0.42697    0.42708    0.42717    0.42726    0.42737    0.42742
    0.42749    0.42758    0.42765    0.42762    0.42755    0.42766
 
    0.45284    0.44889    0.44605    0.44391    0.44224    0.44094    0.43990
    0.43908    0.43844    0.43793    0.43756    0.43727    0.43708    0.43696
    0.43691    0.43689    0.43695    0.43701    0.43712    0.43725    0.43741
    0.43757    0.43776    0.43794    0.43815    0.43834    0.43853    0.43874
    0.43892    0.43911    0.43928    0.43945    0.43958    0.43971    0.43983
    0.43994    0.44002    0.44006    0.44014    0.44006    0.44019
 
    0.45900    0.45545    0.45292    0.45106    0.44965    0.44857    0.44776
    0.44714    0.44669    0.44638    0.44616    0.44607    0.44603    0.44608
    0.44616    0.44630    0.44649    0.44671    0.44694    0.44719    0.44748
    0.44776    0.44805    0.44834    0.44865    0.44894    0.44922    0.44950
    0.44978    0.45005    0.45028    0.45049    0.45072    0.45088    0.45103
    0.45120    0.45128    0.45142    0.45140    0.45163    0.45152
 
    0.46423    0.46105    0.45885    0.45727    0.45610    0.45527    0.45465
    0.45425    0.45398    0.45386    0.45383    0.45388    0.45403    0.45421
    0.45445    0.45474    0.45505    0.45541    0.45578    0.45617    0.45655
    0.45696    0.45737    0.45776    0.45817    0.45856    0.45894    0.45931
    0.45966    0.45999    0.46029    0.46059    0.46085    0.46110    0.46126
    0.46144    0.46162    0.46171    0.46173    0.46181    0.46187
 
    0.46872    0.46592    0.46402    0.46271    0.46179    0.46118    0.46077
    0.46057    0.46049    0.46055    0.46068    0.46092    0.46121    0.46156
    0.46194    0.46237    0.46284    0.46332    0.46382    0.46433    0.46484
    0.46536    0.46588    0.46640    0.46688    0.46737    0.46786    0.46830
    0.46874    0.46914    0.46950    0.46987    0.47017    0.47047    0.47072
    0.47093    0.47110    0.47127    0.47129    0.47137    0.47142
 
    0.47260    0.47016    0.46857    0.46751    0.46684    0.46646    0.46626
    0.46625    0.46637    0.46659    0.46692    0.46730    0.46774    0.46824
    0.46880    0.46937    0.46997    0.47057    0.47121    0.47185    0.47248
    0.47312    0.47374    0.47436    0.47496    0.47555    0.47612    0.47665
    0.47716    0.47762    0.47809    0.47851    0.47888    0.47922    0.47952
    0.47974    0.47993    0.48012    0.48020    0.48044    0.48033
 
    0.47599    0.47390    0.47262    0.47182    0.47139    0.47122    0.47124
    0.47141    0.47172    0.47212    0.47260    0.47315    0.47376    0.47442
    0.47511    0.47582    0.47657    0.47733    0.47807    0.47884    0.47959
    0.48035    0.48108    0.48181    0.48252    0.48319    0.48384    0.48447
    0.48505    0.48562    0.48614    0.48661    0.48703    0.48743    0.48776
    0.48803    0.48827    0.48847    0.48855    0.48879    0.48871
 
    0.47899    0.47723    0.47624    0.47572    0.47551    0.47556    0.47578
    0.47615    0.47664    0.47722    0.47787    0.47858    0.47937    0.48016
    0.48100    0.48187    0.48274    0.48362    0.48450    0.48539    0.48627
    0.48713    0.48800    0.48881    0.48962    0.49040    0.49115    0.49185
    0.49254    0.49315    0.49375    0.49428    0.49477    0.49523    0.49557
    0.49593    0.49622    0.49640    0.49658    0.49650    0.49668
 
    0.48164    0.48023    0.47952    0.47925    0.47929    0.47954    0.47996
    0.48052    0.48120    0.48194    0.48278    0.48364    0.48457    0.48553
    0.48653    0.48751    0.48854    0.48955    0.49056    0.49157    0.49257
    0.49356    0.49451    0.49546    0.49636    0.49724    0.49807    0.49888
    0.49964    0.50033    0.50098    0.50158    0.50214    0.50264    0.50308
    0.50345    0.50376    0.50396    0.50419    0.50427    0.50426
 
    0.48408    0.48304    0.48264    0.48264    0.48293    0.48343    0.48409
    0.48489    0.48578    0.48674    0.48777    0.48885    0.48999    0.49116
    0.49235    0.49355    0.49478    0.49600    0.49724    0.49848    0.49970
    0.50092    0.50213    0.50334    0.50453    0.50563    0.50663    0.50750
    0.50818    0.50917    0.51017    0.51046    0.51134    0.51225    0.51192
    0.51261    0.51348    0.51450    0.51176    0.51184    0.51358
 
    0.48628    0.48557    0.48548    0.48575    0.48629    0.48702    0.48790
    0.48891    0.49001    0.49117    0.49239    0.49368    0.49501    0.49637
    0.49775    0.49915    0.50058    0.50192    0.50323    0.50451    0.50589
    0.50705    0.50837    0.50939    0.51064    0.51187    0.51263    0.51374
    0.51481    0.51584    0.51686    0.51697    0.51779    0.51856    0.51938
    0.52014    0.51880    0.51914    0.51932    0.51924    0.52064
 
    0.48827    0.48791    0.48808    0.48861    0.48941    0.49035    0.49147
    0.49267    0.49397    0.49533    0.49676    0.49824    0.49969    0.50116
    0.50264    0.50406    0.50560    0.50699    0.50851    0.50980    0.51126
    0.51272    0.51385    0.51520    0.51652    0.51781    0.51907    0.51975
    0.52085    0.52189    0.52285    0.52381    0.52469    0.52437    0.52494
    0.52543    0.52583    0.52609    0.52627    0.52651    0.52761
 
    0.49010    0.49006    0.49053    0.49131    0.49234    0.49353    0.49484
    0.49625    0.49774    0.49923    0.50078    0.50235    0.50391    0.50556
    0.50710    0.50878    0.51045    0.51192    0.51356    0.51518    0.51654
    0.51809    0.51960    0.52108    0.52252    0.52352    0.52479    0.52604
    0.52721    0.52832    0.52937    0.53041    0.53042    0.53107    0.53173
    0.53227    0.53268    0.53293    0.53312    0.53336    0.53433
 
    0.49177    0.49204    0.49279    0.49383    0.49507    0.49649    0.49795
    0.49952    0.50113    0.50277    0.50444    0.50621    0.50790    0.50969
    0.51148    0.51314    0.51492    0.51669    0.51845    0.51998    0.52165
    0.52329    0.52491    0.52647    0.52767    0.52912    0.53047    0.53179
    0.53303    0.53423    0.53533    0.53638    0.53657    0.53737    0.53801
    0.53858    0.53896    0.53937    0.53956    0.53980    0.54050
 
    0.49331    0.49389    0.49489    0.49617    0.49762    0.49916    0.50078
    0.50252    0.50428    0.50607    0.50795    0.50977    0.51167    0.51359
    0.51539    0.51728    0.51917    0.52106    0.52291    0.52454    0.52633
    0.52806    0.52976    0.53142    0.53304    0.53427    0.53572    0.53707
    0.53838    0.53964    0.54080    0.54190    0.54286    0.54384    0.54379
    0.54438    0.54485    0.54521    0.54561    0.54585    0.54622
 
    0.49471    0.49557    0.49683    0.49828    0.49990    0.50159    0.50341
    0.50528    0.50715    0.50913    0.51113    0.51308    0.51511    0.51713
    0.51903    0.52104    0.52305    0.52501    0.52697    0.52873    0.53057
    0.53240    0.53418    0.53590    0.53758    0.53919    0.54075    0.54190
    0.54325    0.54456    0.54577    0.54682    0.54786    0.54882    0.54968
    0.55050    0.55133    0.55217    0.55337    0.55121    0.55145
 
    0.49600    0.49713    0.49856    0.50019    0.50196    0.50384    0.50577
    0.50779    0.50980    0.51188    0.51399    0.51605    0.51816    0.52029
    0.52241    0.52439    0.52648    0.52853    0.53056    0.53254    0.53448
    0.53622    0.53806    0.53983    0.54155    0.54319    0.54477    0.54630
    0.54773    0.54908    0.55037    0.55110    0.55205    0.55294    0.55371
    0.55434    0.55487    0.55534    0.55563    0.55588    0.55625
 
    0.49718    0.49852    0.50014    0.50193    0.50386    0.50589    0.50793
    0.51008    0.51220    0.51439    0.51661    0.51875    0.52096    0.52316
    0.52536    0.52755    0.52971    0.53173    0.53381    0.53588    0.53789
    0.53985    0.54178    0.54365    0.54528    0.54695    0.54858    0.55012
    0.55159    0.55298    0.55427    0.55545    0.55656    0.55758    0.55845
    0.55865    0.55927    0.55965    0.55995    0.56019    0.56044
 
    0.49824    0.49978    0.50156    0.50352    0.50556    0.50772    0.50989
    0.51211    0.51439    0.51661    0.51889    0.52120    0.52349    0.52571
    0.52795    0.53020    0.53244    0.53463    0.53681    0.53883    0.54089
    0.54290    0.54487    0.54676    0.54860    0.55037    0.55206    0.55366
    0.55499    0.55639    0.55772    0.55891    0.56000    0.56099    0.56188
    0.56268    0.56331    0.56394    0.56375    0.56383    0.56417
 
    0.49919    0.50089    0.50285    0.50492    0.50709    0.50934    0.51163
    0.51392    0.51626    0.51862    0.52094    0.52330    0.52566    0.52801
    0.53033    0.53257    0.53485    0.53709    0.53932    0.54149    0.54361
    0.54567    0.54761    0.54955    0.55141    0.55322    0.55494    0.55656
    0.55813    0.55957    0.56079    0.56203    0.56314    0.56415    0.56502
    0.56572    0.56637    0.56681    0.56721    0.56777    0.56743
 
    0.50004    0.50191    0.50400    0.50618    0.50847    0.51078    0.51315
    0.51552    0.51793    0.52034    0.52276    0.52518    0.52756    0.52995
    0.53233    0.53469    0.53703    0.53933    0.54152    0.54373    0.54589
    0.54800    0.55007    0.55205    0.55391    0.55575    0.55751    0.55915
    0.56071    0.56218    0.56353    0.56481    0.56590    0.56693    0.56782
    0.56862    0.56917    0.56966    0.57017    0.57073    0.57026
 
    0.50079    0.50282    0.50501    0.50729    0.50966    0.51206    0.51448
    0.51694    0.51940    0.52184    0.52431    0.52678    0.52924    0.53169
    0.53406    0.53646    0.53883    0.54117    0.54347    0.54571    0.54790
    0.55004    0.55212    0.55413    0.55607    0.55795    0.55970    0.56140
    0.56299    0.56446    0.56583    0.56712    0.56824    0.56928    0.57018
    0.57098    0.57163    0.57197    0.57232    0.57240    0.57270
 
    0.50148    0.50361    0.50590    0.50829    0.51070    0.51316    0.51565
    0.51812    0.52065    0.52317    0.52568    0.52817    0.53066    0.53314
    0.53561    0.53802    0.54042    0.54280    0.54511    0.54740    0.54963
    0.55180    0.55391    0.55595    0.55792    0.55981    0.56160    0.56330
    0.56493    0.56646    0.56780    0.56909    0.57025    0.57129    0.57225
    0.57302    0.57360    0.57405    0.57445    0.57469    0.57479
 
    0.50208    0.50434    0.50669    0.50913    0.51161    0.51411    0.51665
    0.51919    0.52172    0.52428    0.52683    0.52938    0.53191    0.53441
    0.53690    0.53936    0.54179    0.54418    0.54652    0.54884    0.55111
    0.55329    0.55543    0.55749    0.55948    0.56138    0.56322    0.56497
    0.56660    0.56810    0.56950    0.57080    0.57201    0.57307    0.57400
    0.57472    0.57533    0.57590    0.57625    0.57633    0.57657
 
    0.50261    0.50494    0.50737    0.50987    0.51238    0.51494    0.51751
    0.52009    0.52267    0.52525    0.52784    0.53040    0.53296    0.53548
    0.53799    0.54049    0.54294    0.54538    0.54774    0.55006    0.55234
    0.55457    0.55674    0.55881    0.56081    0.56276    0.56460    0.56635
    0.56797    0.56953    0.57095    0.57225    0.57345    0.57452    0.57547
    0.57629    0.57696    0.57732    0.57772    0.57796    0.57807
 
    0.50306    0.50547    0.50797    0.51050    0.51306    0.51564    0.51824
    0.52085    0.52347    0.52608    0.52867    0.53126    0.53386    0.53640
    0.53895    0.54144    0.54393    0.54638    0.54876    0.55112    0.55340
    0.55565    0.55783    0.55992    0.56196    0.56390    0.56577    0.56753
    0.56919    0.57074    0.57216    0.57349    0.57471    0.57578    0.57673
    0.57754    0.57819    0.57873    0.57919    0.57959    0.57935
 
    0.50346    0.50593    0.50845    0.51103    0.51363    0.51624    0.51888
    0.52151    0.52413    0.52676    0.52939    0.53201    0.53461    0.53718
    0.53973    0.54225    0.54474    0.54720    0.54962    0.55199    0.55428
    0.55655    0.55874    0.56087    0.56290    0.56485    0.56673    0.56849
    0.57017    0.57172    0.57320    0.57454    0.57573    0.57676    0.57771
    0.57852    0.57917    0.57972    0.58001    0.58025    0.58042
 
    0.50381    0.50632    0.50889    0.51150    0.51412    0.51675    0.51940
    0.52206    0.52471    0.52735    0.53001    0.53262    0.53524    0.53784
    0.54041    0.54293    0.54545    0.54791    0.55036    0.55271    0.55503
    0.55731    0.55952    0.56165    0.56371    0.56568    0.56754    0.56932
    0.57102    0.57258    0.57405    0.57538    0.57659    0.57770    0.57863
    0.57949    0.58014    0.58069    0.58115    0.58123    0.58132
 
    0.50411    0.50666    0.50925    0.51189    0.51452    0.51718    0.51985
    0.52252    0.52520    0.52786    0.53051    0.53314    0.53578    0.53837
    0.54096    0.54351    0.54603    0.54851    0.55096    0.55333    0.55569
    0.55794    0.56015    0.56229    0.56437    0.56633    0.56822    0.57002
    0.57172    0.57330    0.57477    0.57610    0.57732    0.57839    0.57934
    0.58015    0.58088    0.58135    0.58180    0.58188    0.58207
 
    0.50436    0.50694    0.50956    0.51222    0.51487    0.51756    0.52023
    0.52292    0.52559    0.52826    0.53092    0.53359    0.53622    0.53883
    0.54142    0.54398    0.54652    0.54899    0.55146    0.55386    0.55618
    0.55847    0.56070    0.56284    0.56492    0.56690    0.56878    0.57057
    0.57227    0.57386    0.57532    0.57668    0.57789    0.57900    0.57994
    0.58080    0.58145    0.58200    0.58229    0.58253    0.58270
 
    0.50457    0.50718    0.50982    0.51249    0.51518    0.51786    0.52054
    0.52323    0.52593    0.52862    0.53129    0.53395    0.53659    0.53922
    0.54182    0.54440    0.54692    0.54942    0.55188    0.55429    0.55663
    0.55892    0.56115    0.56330    0.56538    0.56738    0.56927    0.57107
    0.57278    0.57436    0.57584    0.57722    0.57846    0.57956    0.58053
    0.58138    0.58202    0.58254    0.58294    0.58318    0.58321
 
    0.50477    0.50740    0.51005    0.51272    0.51542    0.51812    0.52081
    0.52351    0.52622    0.52889    0.53158    0.53424    0.53690    0.53953
    0.54214    0.54471    0.54725    0.54976    0.55223    0.55464    0.55699
    0.55928    0.56151    0.56369    0.56577    0.56777    0.56966    0.57147
    0.57319    0.57478    0.57623    0.57762    0.57883    0.57993    0.58091
    0.58171    0.58242    0.58297    0.58327    0.58351    0.58365
 
    0.50492    0.50757    0.51024    0.51292    0.51562    0.51833    0.52102
    0.52375    0.52644    0.52915    0.53184    0.53449    0.53715    0.53980
    0.54240    0.54500    0.54755    0.55004    0.55250    0.55492    0.55728
    0.55959    0.56184    0.56399    0.56608    0.56807    0.56999    0.57180
    0.57351    0.57510    0.57659    0.57794    0.57920    0.58030    0.58124
    0.58210    0.58275    0.58330    0.58359    0.58383    0.58400
 
    0.50505    0.50770    0.51039    0.51309    0.51580    0.51849    0.52122
    0.52393    0.52663    0.52934    0.53203    0.53472    0.53736    0.54001
    0.54262    0.54521    0.54777    0.55027    0.55277    0.55516    0.55754
    0.55985    0.56207    0.56424    0.56634    0.56833    0.57024    0.57208
    0.57379    0.57537    0.57685    0.57823    0.57948    0.58058    0.58156
    0.58236    0.58307    0.58362    0.58392    0.58416    0.58430
 
    0.50516    0.50782    0.51051    0.51322    0.51593    0.51864    0.52137
    0.52409    0.52679    0.52950    0.53221    0.53487    0.53755    0.54021
    0.54282    0.54541    0.54796    0.55047    0.55294    0.55538    0.55774
    0.56005    0.56229    0.56447    0.56656    0.56857    0.57047    0.57230
    0.57403    0.57563    0.57711    0.57849    0.57972    0.58086    0.58178
    0.58262    0.58332    0.58384    0.58424    0.58448    0.58454
 
    0.50568    0.50838    0.51111    0.51384    0.51657    0.51931    0.52205
    0.52479    0.52752    0.53023    0.53296    0.53565    0.53833    0.54099
    0.54361    0.54624    0.54879    0.55133    0.55382    0.55624    0.55864
    0.56095    0.56320    0.56538    0.56749    0.56951    0.57144    0.57327
    0.57499    0.57660    0.57811    0.57949    0.58073    0.58182    0.58280
    0.58365    0.58436    0.58491    0.58521    0.58545    0.58556
 
 
 Pair table at low E; v
    0.53545    0.53545    0.53545    0.53545    0.53544    0.53544    0.53542
    0.53542    0.53540    0.53537    0.53535    0.53532    0.53529    0.53524
    0.53519    0.53514    0.53509    0.53502    0.53495    0.53487    0.53478
    0.53469    0.53458    0.53447    0.53436    0.53423    0.53410    0.53395
    0.53380    0.53363    0.53346    0.53328    0.53309    0.53288    0.53266
    0.53244    0.53220    0.53195    0.53169    0.53142    0.53113
 
    0.53780    0.53779    0.53779    0.53779    0.53778    0.53778    0.53776
    0.53775    0.53774    0.53771    0.53768    0.53765    0.53762    0.53757
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    0.53458    0.53433    0.53406    0.53379    0.53349    0.53319
 
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    0.54094    0.54064    0.54033    0.54000    0.53965    0.53930
 
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    0.55133    0.55096    0.55056    0.55015    0.54972    0.54926
 
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    0.56544    0.56496    0.56446    0.56393    0.56338    0.56280
 
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    0.58287    0.58226    0.58162    0.58095    0.58025    0.57952
 
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    0.60311    0.60235    0.60155    0.60072    0.59985    0.59894
 
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    0.62561    0.62469    0.62373    0.62271    0.62165    0.62054
 
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    0.64981    0.64871    0.64756    0.64635    0.64508    0.64376
 
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    0.67511    0.67381    0.67247    0.67106    0.66957    0.66802
 
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    0.70092    0.69944    0.69789    0.69627    0.69457    0.69280
 
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    0.72671    0.72504    0.72329    0.72146    0.71955    0.71755
 
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    0.75200    0.75015    0.74821    0.74617    0.74405    0.74183
 
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    0.80190    0.80175    0.80157    0.80134    0.80108    0.80077    0.80041
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    0.78799    0.78659    0.78511    0.78353    0.78188    0.78014    0.77830
    0.77637    0.77434    0.77222    0.76999    0.76767    0.76524
 
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    0.82709    0.82693    0.82673    0.82648    0.82619    0.82586    0.82548
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    0.82031    0.81936    0.81834    0.81724    0.81606    0.81480    0.81346
    0.81203    0.81052    0.80891    0.80723    0.80543    0.80355    0.80156
    0.79947    0.79728    0.79499    0.79259    0.79009    0.78747
 
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    0.85058    0.85041    0.85019    0.84993    0.84962    0.84927    0.84886
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    0.84331    0.84230    0.84121    0.84003    0.83877    0.83743    0.83600
    0.83447    0.83286    0.83114    0.82933    0.82742    0.82540    0.82329
    0.82106    0.81873    0.81629    0.81373    0.81105    0.80826
 
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    0.87217    0.87198    0.87176    0.87147    0.87114    0.87077    0.87034
    0.86983    0.86928    0.86865    0.86796    0.86720    0.86637    0.86545
    0.86446    0.86339    0.86223    0.86099    0.85966    0.85824    0.85672
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    0.84095    0.83850    0.83593    0.83322    0.83041    0.82747
 
    0.89217    0.89217    0.89215    0.89212    0.89207    0.89199    0.89187
    0.89171    0.89152    0.89128    0.89098    0.89065    0.89024    0.88979
    0.88927    0.88868    0.88803    0.88730    0.88649    0.88562    0.88466
    0.88362    0.88250    0.88129    0.87998    0.87859    0.87711    0.87552
    0.87383    0.87205    0.87016    0.86816    0.86606    0.86384    0.86152
    0.85906    0.85650    0.85381    0.85101    0.84806    0.84500
 
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    0.90076    0.89960    0.89835    0.89700    0.89555    0.89401    0.89237
    0.89062    0.88877    0.88682    0.88476    0.88258    0.88029    0.87788
    0.87536    0.87271    0.86994    0.86704    0.86400    0.86084
 
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    0.92456    0.92436    0.92410    0.92378    0.92342    0.92299    0.92250
    0.92193    0.92131    0.92061    0.91983    0.91897    0.91802    0.91701
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    0.90549    0.90360    0.90159    0.89949    0.89726    0.89491    0.89246
    0.88986    0.88716    0.88432    0.88137    0.87827    0.87504
 
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    0.93826    0.93811    0.93790    0.93763    0.93727    0.93683    0.93629
    0.93566    0.93494    0.93413    0.93322    0.93221    0.93111    0.92992
    0.92864    0.92727    0.92582    0.92426    0.92262    0.92086    0.91903
    0.91710    0.91507    0.91293    0.91070    0.90835    0.90589    0.90334
    0.90066    0.89786    0.89496    0.89192    0.88875    0.88546
 
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    0.94977    0.94962    0.94941    0.94912    0.94877    0.94833    0.94779
    0.94716    0.94645    0.94564    0.94474    0.94376    0.94267    0.94150
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    0.92890    0.92691    0.92479    0.92258    0.92027    0.91784    0.91530
    0.91265    0.90988    0.90698    0.90396    0.90081    0.89753
 
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    0.95952    0.95938    0.95916    0.95888    0.95851    0.95806    0.95753
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    0.93901    0.93704    0.93498    0.93282    0.93053    0.92815    0.92565
    0.92303    0.92029    0.91743    0.91444    0.91131    0.90806
 
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    0.93196    0.92926    0.92645    0.92349    0.92041    0.91718
 
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    0.97446    0.97429    0.97407    0.97377    0.97339    0.97293    0.97239
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    0.93965    0.93701    0.93425    0.93135    0.92831    0.92514
 
    0.98026    0.98026    0.98026    0.98026    0.98023    0.98020    0.98011
    0.97999    0.97982    0.97958    0.97927    0.97889    0.97844    0.97793
    0.97732    0.97665    0.97592    0.97511    0.97422    0.97326    0.97224
    0.97114    0.96995    0.96869    0.96734    0.96591    0.96440    0.96279
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    0.94627    0.94369    0.94098    0.93813    0.93516    0.93204
 
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    0.98446    0.98428    0.98404    0.98373    0.98336    0.98292    0.98240
    0.98183    0.98119    0.98048    0.97971    0.97887    0.97796    0.97697
    0.97592    0.97480    0.97359    0.97230    0.97092    0.96947    0.96794
    0.96629    0.96456    0.96273    0.96079    0.95875    0.95660    0.95433
    0.95194    0.94943    0.94680    0.94401    0.94110    0.93804
 
    0.98833    0.98832    0.98832    0.98832    0.98829    0.98825    0.98816
    0.98804    0.98785    0.98761    0.98730    0.98694    0.98651    0.98601
    0.98546    0.98487    0.98420    0.98347    0.98266    0.98180    0.98087
    0.97987    0.97880    0.97765    0.97643    0.97512    0.97373    0.97226
    0.97068    0.96903    0.96725    0.96539    0.96342    0.96134    0.95914
    0.95683    0.95439    0.95181    0.94912    0.94627    0.94327
 
    0.99116    0.99116    0.99116    0.99116    0.99113    0.99108    0.99099
    0.99086    0.99066    0.99042    0.99014    0.98978    0.98937    0.98891
    0.98840    0.98781    0.98718    0.98649    0.98574    0.98494    0.98407
    0.98312    0.98210    0.98102    0.97985    0.97861    0.97729    0.97588
    0.97438    0.97279    0.97110    0.96930    0.96741    0.96540    0.96328
    0.96104    0.95867    0.95617    0.95355    0.95077    0.94785
 
    0.99337    0.99337    0.99337    0.99337    0.99334    0.99328    0.99319
    0.99305    0.99287    0.99264    0.99236    0.99201    0.99164    0.99120
    0.99072    0.99019    0.98960    0.98896    0.98826    0.98750    0.98668
    0.98579    0.98483    0.98381    0.98271    0.98153    0.98028    0.97894
    0.97751    0.97598    0.97437    0.97265    0.97083    0.96889    0.96684
    0.96467    0.96238    0.95996    0.95741    0.95472    0.95187
 
    0.99508    0.99508    0.99508    0.99508    0.99505    0.99498    0.99489
    0.99476    0.99458    0.99437    0.99409    0.99378    0.99343    0.99302
    0.99258    0.99208    0.99154    0.99094    0.99029    0.98958    0.98882
    0.98799    0.98708    0.98613    0.98509    0.98399    0.98279    0.98151
    0.98015    0.97870    0.97716    0.97551    0.97376    0.97190    0.96993
    0.96785    0.96563    0.96329    0.96081    0.95820    0.95543
 
    0.99639    0.99638    0.99638    0.99638    0.99635    0.99629    0.99620
    0.99606    0.99590    0.99568    0.99544    0.99515    0.99482    0.99446
    0.99405    0.99359    0.99309    0.99255    0.99194    0.99127    0.99056
    0.98979    0.98896    0.98805    0.98708    0.98603    0.98491    0.98370
    0.98241    0.98103    0.97956    0.97799    0.97632    0.97454    0.97264
    0.97063    0.96849    0.96623    0.96384    0.96130    0.95861
 
    0.99737    0.99736    0.99736    0.99736    0.99733    0.99727    0.99718
    0.99706    0.99689    0.99671    0.99648    0.99623    0.99592    0.99559
    0.99521    0.99480    0.99434    0.99383    0.99328    0.99267    0.99201
    0.99129    0.99052    0.98967    0.98876    0.98777    0.98672    0.98559
    0.98436    0.98305    0.98166    0.98017    0.97856    0.97686    0.97505
    0.97312    0.97108    0.96891    0.96658    0.96414    0.96154
 
    0.99811    0.99810    0.99810    0.99810    0.99807    0.99801    0.99792
    0.99781    0.99766    0.99749    0.99728    0.99705    0.99678    0.99647
    0.99614    0.99576    0.99533    0.99488    0.99436    0.99381    0.99321
    0.99254    0.99181    0.99102    0.99017    0.98925    0.98825    0.98719
    0.98603    0.98480    0.98346    0.98205    0.98053    0.97890    0.97717
    0.97533    0.97335    0.97127    0.96904    0.96668    0.96417
 
    0.99865    0.99864    0.99864    0.99863    0.99861    0.99855    0.99848
    0.99837    0.99823    0.99808    0.99790    0.99769    0.99744    0.99717
    0.99686    0.99653    0.99615    0.99572    0.99525    0.99475    0.99419
    0.99356    0.99289    0.99216    0.99137    0.99050    0.98957    0.98857
    0.98747    0.98630    0.98505    0.98370    0.98225    0.98072    0.97906
    0.97729    0.97541    0.97340    0.97125    0.96898    0.96657
 
    0.99905    0.99904    0.99904    0.99903    0.99901    0.99895    0.99887
    0.99878    0.99868    0.99854    0.99837    0.99819    0.99796    0.99772
    0.99744    0.99714    0.99679    0.99641    0.99598    0.99551    0.99499
    0.99443    0.99380    0.99312    0.99237    0.99158    0.99070    0.98975
    0.98873    0.98763    0.98645    0.98517    0.98380    0.98232    0.98073
    0.97904    0.97725    0.97531    0.97326    0.97106    0.96873
 
    0.99934    0.99933    0.99933    0.99931    0.99930    0.99925    0.99918
    0.99910    0.99899    0.99887    0.99873    0.99857    0.99837    0.99815
    0.99791    0.99762    0.99732    0.99697    0.99657    0.99614    0.99567
    0.99514    0.99456    0.99393    0.99325    0.99249    0.99168    0.99078
    0.98982    0.98878    0.98766    0.98645    0.98514    0.98374    0.98223
    0.98061    0.97889    0.97703    0.97507    0.97295    0.97069
 
    0.99954    0.99953    0.99953    0.99952    0.99950    0.99946    0.99940
    0.99932    0.99924    0.99914    0.99900    0.99886    0.99868    0.99850
    0.99827    0.99801    0.99773    0.99741    0.99706    0.99667    0.99622
    0.99574    0.99520    0.99462    0.99398    0.99328    0.99250    0.99168
    0.99077    0.98979    0.98872    0.98758    0.98633    0.98500    0.98356
    0.98202    0.98035    0.97857    0.97667    0.97464    0.97246
 
    0.99969    0.99968    0.99968    0.99968    0.99965    0.99960    0.99956
    0.99949    0.99942    0.99933    0.99921    0.99908    0.99893    0.99876
    0.99855    0.99834    0.99808    0.99779    0.99745    0.99710    0.99669
    0.99625    0.99574    0.99521    0.99460    0.99394    0.99323    0.99245
    0.99160    0.99067    0.98966    0.98856    0.98737    0.98611    0.98472
    0.98324    0.98165    0.97993    0.97810    0.97612    0.97400
 
    0.99979    0.99978    0.99978    0.99978    0.99975    0.99972    0.99967
    0.99963    0.99955    0.99947    0.99937    0.99926    0.99912    0.99897
    0.99879    0.99859    0.99835    0.99809    0.99778    0.99746    0.99708
    0.99667    0.99621    0.99571    0.99514    0.99452    0.99385    0.99311
    0.99231    0.99142    0.99046    0.98942    0.98828    0.98706    0.98575
    0.98431    0.98276    0.98110    0.97930    0.97737    0.97531
 
    0.99986    0.99985    0.99985    0.99985    0.99982    0.99980    0.99976
    0.99971    0.99965    0.99957    0.99950    0.99939    0.99927    0.99913
    0.99898    0.99878    0.99857    0.99834    0.99806    0.99776    0.99741
    0.99703    0.99660    0.99613    0.99559    0.99501    0.99437    0.99367
    0.99291    0.99207    0.99115    0.99015    0.98906    0.98787    0.98659
    0.98521    0.98371    0.98208    0.98034    0.97845    0.97643
 
    0.99991    0.99990    0.99990    0.99990    0.99988    0.99985    0.99982
    0.99978    0.99973    0.99967    0.99959    0.99950    0.99939    0.99927
    0.99912    0.99895    0.99875    0.99854    0.99828    0.99801    0.99769
    0.99732    0.99692    0.99648    0.99598    0.99543    0.99483    0.99416
    0.99343    0.99262    0.99174    0.99076    0.98971    0.98856    0.98731
    0.98597    0.98450    0.98292    0.98119    0.97936    0.97736
 
    0.99994    0.99993    0.99993    0.99993    0.99991    0.99988    0.99987
    0.99982    0.99978    0.99973    0.99967    0.99958    0.99949    0.99938
    0.99924    0.99909    0.99891    0.99871    0.99848    0.99821    0.99792
    0.99758    0.99720    0.99677    0.99630    0.99578    0.99520    0.99456
    0.99386    0.99306    0.99221    0.99128    0.99026    0.98913    0.98791
    0.98660    0.98515    0.98359    0.98191    0.98008    0.97811
 
    0.99996    0.99995    0.99995    0.99995    0.99994    0.99992    0.99989
    0.99986    0.99983    0.99978    0.99972    0.99965    0.99956    0.99946
    0.99934    0.99920    0.99904    0.99884    0.99862    0.99838    0.99811
    0.99779    0.99743    0.99702    0.99658    0.99608    0.99551    0.99489
    0.99420    0.99345    0.99261    0.99170    0.99069    0.98959    0.98840
    0.98709    0.98567    0.98414    0.98247    0.98067    0.97871
 
    0.99997    0.99997    0.99997    0.99997    0.99995    0.99994    0.99992
    0.99989    0.99986    0.99981    0.99977    0.99971    0.99962    0.99952
    0.99942    0.99929    0.99914    0.99896    0.99876    0.99853    0.99826
    0.99795    0.99762    0.99722    0.99679    0.99630    0.99577    0.99516
    0.99449    0.99376    0.99293    0.99203    0.99104    0.98996    0.98878
    0.98749    0.98608    0.98457    0.98291    0.98112    0.97918
 
    0.99998    0.99998    0.99998    0.99998    0.99996    0.99996    0.99995
    0.99991    0.99988    0.99985    0.99979    0.99975    0.99967    0.99958
    0.99949    0.99937    0.99921    0.99906    0.99886    0.99865    0.99839
    0.99810    0.99776    0.99740    0.99697    0.99650    0.99596    0.99537
    0.99471    0.99399    0.99319    0.99230    0.99132    0.99024    0.98908
    0.98780    0.98640    0.98489    0.98324    0.98147    0.97953
 
    0.99999    0.99998    0.99998    0.99998    0.99998    0.99997    0.99995
    0.99994    0.99991    0.99988    0.99983    0.99977    0.99971    0.99963
    0.99954    0.99942    0.99930    0.99913    0.99894    0.99873    0.99849
    0.99821    0.99789    0.99753    0.99711    0.99664    0.99612    0.99554
    0.99489    0.99417    0.99337    0.99249    0.99153    0.99046    0.98930
    0.98802    0.98663    0.98514    0.98349    0.98172    0.97979
 
    0.99999    0.99999    0.99999    0.99999    0.99999    0.99999    0.99999
    0.99997    0.99996    0.99994    0.99992    0.99988    0.99983    0.99977
    0.99970    0.99960    0.99950    0.99936    0.99919    0.99901    0.99878
    0.99852    0.99822    0.99788    0.99748    0.99704    0.99654    0.99597
    0.99533    0.99463    0.99385    0.99298    0.99202    0.99098    0.98982
    0.98857    0.98718    0.98569    0.98407    0.98230    0.98039
 
 
 constant used in Pair cre. sampling with LPM
   37091.5032679739               25  2.500000000000000E-002  0.100000000000000       0.000000000000000E+000   1.00000000000000               41   4.56927443504756        9316964.37831169
 
 ice     
Pair total x-sec. with LPM
   37091.50      0.7737615    
   46695.44      0.7731058    
   58786.07      0.7731058    
   74007.28      0.7731058    
   93169.64      0.7731058    
   117293.6      0.7731058    
   147663.9      0.7731058    
   185897.9      0.7720299    
   234031.6      0.7725418    
   294628.3      0.7722451    
   370915.0      0.7712309    
   466954.4      0.7688242    
   587860.7      0.7637013    
   740072.8      0.7556685    
   931696.4      0.7445866    
   1172936.      0.7297345    
   1476639.      0.7113123    
   1858979.      0.6893684    
   2340316.      0.6641328    
   2946283.      0.6360074    
   3709150.      0.6055373    
   4669544.      0.5732674    
   5878607.      0.5397924    
   7400728.      0.5057205    
   9316964.      0.4715426    
 
 Pair table with LPM
    1.00000    0.99026    0.98040    0.97041    0.96026    0.94999    0.93958
    0.92904    0.91834    0.90749    0.89651    0.88537    0.87406    0.86262
    0.85102    0.83926    0.82734    0.81525    0.80302    0.79063    0.77807
    0.76536    0.75248    0.73947    0.72629    0.71298    0.69951    0.68591
    0.67218    0.65831    0.64434    0.63024    0.61605    0.60175    0.58738
    0.57293    0.55842    0.54386    0.52926    0.51464    0.50000
 
    1.00000    0.99021    0.98029    0.97025    0.96008    0.94976    0.93931
    0.92872    0.91798    0.90710    0.89608    0.88490    0.87357    0.86210
    0.85047    0.83868    0.82674    0.81464    0.80239    0.78999    0.77743
    0.76472    0.75185    0.73883    0.72567    0.71237    0.69892    0.68534
    0.67163    0.65779    0.64385    0.62980    0.61563    0.60139    0.58706
    0.57266    0.55820    0.54370    0.52915    0.51458    0.50000
 
    1.00000    0.99021    0.98029    0.97025    0.96008    0.94976    0.93931
    0.92872    0.91798    0.90710    0.89608    0.88490    0.87357    0.86210
    0.85047    0.83868    0.82674    0.81464    0.80239    0.78999    0.77743
    0.76472    0.75185    0.73883    0.72567    0.71237    0.69892    0.68534
    0.67163    0.65779    0.64385    0.62980    0.61563    0.60139    0.58706
    0.57266    0.55820    0.54370    0.52915    0.51458    0.50000
 
    1.00000    0.99021    0.98029    0.97025    0.96008    0.94976    0.93931
    0.92872    0.91798    0.90710    0.89608    0.88490    0.87357    0.86210
    0.85047    0.83868    0.82674    0.81464    0.80239    0.78999    0.77743
    0.76472    0.75185    0.73883    0.72567    0.71237    0.69892    0.68534
    0.67163    0.65779    0.64385    0.62980    0.61563    0.60139    0.58706
    0.57266    0.55820    0.54370    0.52915    0.51458    0.50000
 
    1.00000    0.99021    0.98029    0.97025    0.96008    0.94976    0.93931
    0.92872    0.91798    0.90710    0.89608    0.88490    0.87357    0.86210
    0.85047    0.83868    0.82674    0.81464    0.80239    0.78999    0.77743
    0.76472    0.75185    0.73883    0.72567    0.71237    0.69892    0.68534
    0.67163    0.65779    0.64385    0.62980    0.61563    0.60139    0.58706
    0.57266    0.55820    0.54370    0.52915    0.51458    0.50000
 
    1.00000    0.99021    0.98029    0.97025    0.96008    0.94976    0.93931
    0.92872    0.91798    0.90710    0.89608    0.88490    0.87357    0.86210
    0.85047    0.83868    0.82674    0.81464    0.80239    0.78999    0.77743
    0.76472    0.75185    0.73883    0.72567    0.71237    0.69892    0.68534
    0.67163    0.65779    0.64385    0.62980    0.61563    0.60139    0.58706
    0.57266    0.55820    0.54370    0.52915    0.51458    0.50000
 
    1.00000    0.99021    0.98029    0.97025    0.96008    0.94976    0.93931
    0.92872    0.91798    0.90710    0.89608    0.88490    0.87357    0.86210
    0.85047    0.83868    0.82674    0.81464    0.80239    0.78999    0.77743
    0.76472    0.75185    0.73883    0.72567    0.71237    0.69892    0.68534
    0.67163    0.65779    0.64385    0.62980    0.61563    0.60139    0.58706
    0.57266    0.55820    0.54370    0.52915    0.51458    0.50000
 
    1.00000    0.99023    0.98032    0.97030    0.96014    0.94984    0.93940
    0.92883    0.91810    0.90723    0.89623    0.88508    0.87377    0.86231
    0.85070    0.83894    0.82702    0.81493    0.80271    0.79032    0.77778
    0.76508    0.75225    0.73925    0.72612    0.71281    0.69934    0.68573
    0.67195    0.65815    0.64410    0.63008    0.61580    0.60159    0.58730
    0.57293    0.55831    0.54384    0.52933    0.51480    0.50000
 
    1.00000    0.99023    0.98031    0.97028    0.96011    0.94981    0.93935
    0.92878    0.91805    0.90717    0.89616    0.88499    0.87368    0.86221
    0.85059    0.83881    0.82688    0.81480    0.80256    0.79012    0.77752
    0.76476    0.75182    0.73883    0.72558    0.71231    0.69891    0.68521
    0.67155    0.65776    0.64366    0.62966    0.61554    0.60134    0.58706
    0.57246    0.55805    0.54358    0.52908    0.51455    0.50000
 
    1.00000    0.99023    0.98032    0.97028    0.96012    0.94982    0.93938
    0.92879    0.91808    0.90722    0.89620    0.88503    0.87373    0.86227
    0.85065    0.83881    0.82684    0.81470    0.80250    0.79003    0.77753
    0.76475    0.75194    0.73898    0.72573    0.71248    0.69909    0.68538
    0.67173    0.65796    0.64405    0.63004    0.61592    0.60148    0.58719
    0.57283    0.55840    0.54391    0.52939    0.51484    0.50000
 
    1.00000    0.99024    0.98035    0.97033    0.96018    0.94988    0.93946
    0.92890    0.91819    0.90734    0.89634    0.88520    0.87385    0.86237
    0.85075    0.83895    0.82710    0.81498    0.80282    0.79037    0.77790
    0.76527    0.75233    0.73939    0.72629    0.71305    0.69947    0.68595
    0.67228    0.65847    0.64454    0.63049    0.61612    0.60187    0.58754
    0.57312    0.55864    0.54409    0.52951    0.51489    0.50000
 
    1.00000    0.99027    0.98042    0.97042    0.96030    0.95005    0.93966
    0.92913    0.91846    0.90763    0.89661    0.88549    0.87421    0.86279
    0.85128    0.83953    0.82772    0.81574    0.80350    0.79122    0.77876
    0.76600    0.75322    0.74028    0.72717    0.71390    0.70031    0.68675
    0.67303    0.65918    0.64518    0.63107    0.61662    0.60229    0.58786
    0.57335    0.55877    0.54413    0.52945    0.51474    0.50000
 
    1.00000    0.99033    0.98054    0.97062    0.96058    0.95040    0.94007
    0.92962    0.91898    0.90824    0.89736    0.88633    0.87514    0.86388
    0.85236    0.84080    0.82905    0.81702    0.80495    0.79270    0.78027
    0.76754    0.75476    0.74182    0.72869    0.71540    0.70177    0.68815
    0.67438    0.66046    0.64639    0.63218    0.61785    0.60340    0.58885
    0.57401    0.55931    0.54454    0.52972    0.51487    0.50000
 
    1.00000    0.99044    0.98075    0.97094    0.96101    0.95094    0.94071
    0.93035    0.91988    0.90928    0.89852    0.88761    0.87663    0.86547
    0.85406    0.84257    0.83089    0.81896    0.80692    0.79472    0.78231
    0.76972    0.75682    0.74386    0.73072    0.71739    0.70387    0.69017
    0.67631    0.66214    0.64796    0.63364    0.61918    0.60460    0.58990
    0.57511    0.56022    0.54527    0.53027    0.51505    0.50000
 
    1.00000    0.99058    0.98104    0.97137    0.96159    0.95164    0.94158
    0.93142    0.92113    0.91068    0.90015    0.88938    0.87853    0.86749
    0.85621    0.84481    0.83321    0.82143    0.80936    0.79719    0.78481
    0.77222    0.75943    0.74644    0.73313    0.71974    0.70615    0.69237
    0.67840    0.66425    0.64993    0.63545    0.62066    0.60591    0.59102
    0.57602    0.56093    0.54577    0.53054    0.51529    0.50000
 
    1.00000    0.99076    0.98142    0.97196    0.96235    0.95263    0.94283
    0.93288    0.92281    0.91257    0.90221    0.89162    0.88093    0.87003
    0.85894    0.84757    0.83608    0.82438    0.81246    0.80032    0.78788
    0.77531    0.76251    0.74949    0.73624    0.72277    0.70910    0.69510
    0.68100    0.66672    0.65224    0.63758    0.62276    0.60778    0.59267
    0.57743    0.56197    0.54655    0.53107    0.51554    0.50000
 
    1.00000    0.99100    0.98190    0.97266    0.96331    0.95387    0.94431
    0.93467    0.92483    0.91485    0.90466    0.89431    0.88371    0.87298
    0.86202    0.85085    0.83938    0.82777    0.81591    0.80381    0.79148
    0.77891    0.76600    0.75295    0.73966    0.72612    0.71234    0.69833
    0.68409    0.66964    0.65487    0.64001    0.62497    0.60975    0.59439
    0.57888    0.56326    0.54754    0.53176    0.51586    0.50000
 
    1.00000    0.99128    0.98246    0.97352    0.96449    0.95536    0.94610
    0.93671    0.92712    0.91738    0.90740    0.89727    0.88691    0.87634
    0.86547    0.85444    0.84315    0.83161    0.81983    0.80772    0.79542
    0.78286    0.77003    0.75692    0.74356    0.72993    0.71597    0.70182
    0.68744    0.67280    0.65793    0.64284    0.62754    0.61200    0.59635
    0.58053    0.56459    0.54853    0.53241    0.51621    0.50000
 
    1.00000    0.99160    0.98310    0.97449    0.96581    0.95702    0.94811
    0.93899    0.92971    0.92019    0.91048    0.90052    0.89036    0.87997
    0.86932    0.85841    0.84719    0.83576    0.82404    0.81207    0.79978
    0.78722    0.77433    0.76119    0.74776    0.73404    0.72004    0.70575
    0.69115    0.67632    0.66122    0.64587    0.63031    0.61451    0.59854
    0.58238    0.56609    0.54966    0.53315    0.51659    0.50000
 
    1.00000    0.99197    0.98382    0.97561    0.96731    0.95887    0.95026
    0.94144    0.93244    0.92323    0.91373    0.90403    0.89408    0.88383
    0.87336    0.86260    0.85155    0.84023    0.82856    0.81663    0.80441
    0.79186    0.77900    0.76583    0.75231    0.73849    0.72437    0.70993
    0.69517    0.68013    0.66480    0.64920    0.63333    0.61723    0.60092
    0.58439    0.56772    0.55092    0.53402    0.51701    0.50000
 
    1.00000    0.99235    0.98461    0.97680    0.96888    0.96081    0.95252
    0.94404    0.93531    0.92637    0.91717    0.90766    0.89793    0.88792
    0.87762    0.86701    0.85607    0.84486    0.83332    0.82146    0.80926
    0.79673    0.78387    0.77065    0.75709    0.74318    0.72894    0.71434
    0.69941    0.68416    0.66858    0.65271    0.63655    0.62010    0.60343
    0.58654    0.56947    0.55224    0.53488    0.51746    0.50000
 
    1.00000    0.99276    0.98544    0.97805    0.97051    0.96279    0.95487
    0.94669    0.93829    0.92962    0.92065    0.91143    0.90191    0.89207
    0.88195    0.87151    0.86076    0.84965    0.83822    0.82642    0.81428
    0.80178    0.78890    0.77566    0.76205    0.74807    0.73369    0.71896
    0.70385    0.68837    0.67255    0.65640    0.63990    0.62313    0.60609
    0.58880    0.57131    0.55365    0.53582    0.51793    0.50000
 
    1.00000    0.99319    0.98629    0.97933    0.97219    0.96484    0.95724
    0.94939    0.94126    0.93288    0.92420    0.91520    0.90591    0.89631
    0.88638    0.87609    0.86549    0.85452    0.84318    0.83147    0.81939
    0.80692    0.79406    0.78080    0.76714    0.75306    0.73858    0.72371
    0.70840    0.69272    0.67665    0.66022    0.64343    0.62628    0.60885
    0.59116    0.57322    0.55510    0.53683    0.51842    0.50000
 
    1.00000    0.99361    0.98717    0.98061    0.97385    0.96685    0.95960
    0.95206    0.94425    0.93613    0.92771    0.91897    0.90992    0.90051
    0.89077    0.88067    0.87020    0.85935    0.84814    0.83652    0.82452
    0.81208    0.79923    0.78597    0.77224    0.75811    0.74353    0.72850
    0.71302    0.69713    0.68082    0.66410    0.64698    0.62951    0.61166
    0.59355    0.57517    0.55657    0.53781    0.51893    0.50000
 
    1.00000    0.99404    0.98804    0.98188    0.97549    0.96885    0.96191
    0.95469    0.94718    0.93932    0.93118    0.92268    0.91384    0.90466
    0.89510    0.88517    0.87487    0.86417    0.85307    0.84155    0.82961
    0.81722    0.80441    0.79113    0.77740    0.76318    0.74849    0.73334
    0.71772    0.70162    0.68505    0.66804    0.65062    0.63278    0.61457
    0.59604    0.57720    0.55809    0.53884    0.51945    0.50000
 
 
# ************muon tab*********************** 
#     This table  has been made by using ../../Data/BaseM/ice 
#     with nuclear interaction formula: 1
#     Tue Jan 12 22:47:57 JST 2010 by pts/4 using 
#      version uv8.80  
# 
-------------------------------------------
 constant used in muon pair creation sampling
  1.000000000000000E-004  0.100000000000000       0.200000000000000        18.7228090715071        74536.8454427106       1.000000000000000E-002         101          19          38   93836.3288428027
 
 ice     
 Muon pair cre. total X-sec. table (Prob./X0) upto E=   93836.3288428028      GeV
   18.72281      7.2330753E-03
   23.57062      8.5179685E-03
   29.67365      9.8822899E-03
   37.35691      1.1299158E-02
   47.02957      1.2749847E-02
   59.20672      1.4219176E-02
   74.53684      1.5694134E-02
   93.83633      1.7163184E-02
   118.1329      1.8615887E-02
   148.7206      2.0042680E-02
   187.2281      2.1434769E-02
   235.7062      2.2784095E-02
   296.7365      2.4083339E-02
   373.5692      2.5325969E-02
   470.2957      2.6506303E-02
   592.0672      2.7619593E-02
   745.3685      2.8662091E-02
   938.3633      2.9631129E-02
   1181.329      3.0525157E-02
   1487.206      3.1343777E-02
   1872.281      3.2087706E-02
   2357.062      3.2758731E-02
   2967.365      3.3359587E-02
   3735.692      3.3893820E-02
   4702.957      3.4365617E-02
   5920.672      3.4779601E-02
   7453.685      3.5140678E-02
   9383.633      3.5453834E-02
   11813.29      3.5724010E-02
   14872.06      3.5955966E-02
   18722.81      3.6154207E-02
   23570.62      3.6322910E-02
   29673.65      3.6465906E-02
   37356.91      3.6586639E-02
   47029.57      3.6688205E-02
   59206.72      3.6773331E-02
   74536.84      3.6844425E-02
   93836.33      3.6903579E-02
 
 ice     
dE/dx(v<vmin)/Emu (/(g/cm2))by muon pair cre.
   18.72281      0.0000000E+00
   23.57062      3.0873429E-11
   29.67365      2.1854271E-10
   37.35691      6.0842420E-10
   47.02957      1.2134056E-09
   59.20672      2.0314077E-09
   74.53684      3.0519640E-09
   93.83633      4.2598551E-09
   118.1329      5.6373177E-09
   148.7206      7.1654238E-09
   187.2281      8.8249417E-09
   235.7062      1.0596843E-08
   296.7365      1.2462571E-08
   373.5692      1.4404148E-08
   470.2957      1.6404185E-08
   592.0672      1.8445823E-08
   745.3685      2.0512671E-08
   938.3633      2.2588743E-08
   1181.329      2.4658457E-08
   1487.206      2.6706669E-08
   1872.281      2.8718818E-08
   2357.062      3.0681093E-08
   2967.365      3.2580708E-08
   3735.692      3.4406153E-08
   4702.957      3.6147469E-08
   5920.672      3.7796482E-08
   7453.685      3.9346943E-08
   9383.633      4.0794603E-08
   11813.29      4.2137177E-08
   14872.06      4.3374243E-08
   18722.81      4.4507050E-08
   23570.62      4.5538300E-08
   29673.65      4.6471882E-08
   37356.91      4.7312614E-08
   47029.57      4.8065999E-08
   59206.72      4.8737970E-08
   74536.84      4.9334702E-08
   93836.33      4.9862432E-08
 
 ice     
dE/dx(v<vmax)/Emu (/(g/cm2))by muon pair cre.
   18.72281      6.7375396E-07
   23.57062      7.3517765E-07
   29.67365      7.9660884E-07
   37.35691      8.5765583E-07
   47.02957      9.1792219E-07
   59.20672      9.7701900E-07
   74.53684      1.0345717E-06
   93.83633      1.0902206E-06
   118.1329      1.1436384E-06
   148.7206      1.1945331E-06
   187.2281      1.2426624E-06
   235.7062      1.2878360E-06
   296.7365      1.3299231E-06
   373.5692      1.3688515E-06
   470.2957      1.4046044E-06
   592.0672      1.4372184E-06
   745.3685      1.4667745E-06
   938.3633      1.4933921E-06
   1181.329      1.5172203E-06
   1487.206      1.5384304E-06
   1872.281      1.5572090E-06
   2357.062      1.5737504E-06
   2967.365      1.5882518E-06
   3735.692      1.6009086E-06
   4702.957      1.6119093E-06
   5920.672      1.6214340E-06
   7453.685      1.6296513E-06
   9383.633      1.6367172E-06
   11813.29      1.6427747E-06
   14872.06      1.6479530E-06
   18722.81      1.6523682E-06
   23570.62      1.6561237E-06
   29673.65      1.6593109E-06
   37356.91      1.6620102E-06
   47029.57      1.6642916E-06
   59206.72      1.6662167E-06
   74536.84      1.6678381E-06
   93836.33      1.6692017E-06
 
 constant used in muon Brems sampling
  1.000000000000000E-004  0.100000000000000       0.200000000000000        26.7468701021531        67185.1000949476       1.000000000000000E-002         101          18          36   84581.0298034642
 
 ice     
 Muon brems total X-sec. table (Prob./X0) upto E=   84581.0298034643      GeV
   26.74687      4.9987622E-04
   33.67231      5.0536665E-04
   42.39093      5.1048503E-04
   53.36702      5.1529316E-04
   67.18510      5.1979674E-04
   84.58103      5.2400219E-04
   106.4812      5.2791683E-04
   134.0519      5.3154881E-04
   168.7613      5.3490693E-04
   212.4579      5.3800095E-04
   267.4687      5.4084125E-04
   336.7231      5.4343895E-04
   423.9093      5.4580573E-04
   533.6702      5.4795388E-04
   671.8510      5.4989592E-04
   845.8103      5.5164477E-04
   1064.812      5.5321353E-04
   1340.519      5.5461505E-04
   1687.613      5.5586244E-04
   2124.579      5.5696821E-04
   2674.687      5.5794470E-04
   3367.231      5.5880379E-04
   4239.093      5.5955682E-04
   5336.702      5.6021434E-04
   6718.510      5.6078652E-04
   8458.103      5.6128262E-04
   10648.12      5.6171132E-04
   13405.19      5.6208053E-04
   16876.13      5.6239747E-04
   21245.79      5.6266866E-04
   26746.87      5.6290004E-04
   33672.32      5.6309690E-04
   42390.93      5.6326383E-04
   53367.02      5.6340510E-04
   67185.10      5.6352426E-04
   84581.03      5.6362461E-04
 
 ice     
dE/dx(v<vmin)/Emu (/(g/cm2))by muon brems
   26.74687      1.8203751E-10
   33.67231      1.8205011E-10
   42.39093      1.8206012E-10
   53.36702      1.8206808E-10
   67.18510      1.8207441E-10
   84.58103      1.8207943E-10
   106.4812      1.8208343E-10
   134.0519      1.8208661E-10
   168.7613      1.8208912E-10
   212.4579      1.8209113E-10
   267.4687      1.8209272E-10
   336.7231      1.8209398E-10
   423.9093      1.8209499E-10
   533.6702      1.8209578E-10
   671.8510      1.8209642E-10
   845.8103      1.8209692E-10
   1064.812      1.8209732E-10
   1340.519      1.8209764E-10
   1687.613      1.8209789E-10
   2124.579      1.8209810E-10
   2674.687      1.8209825E-10
   3367.231      1.8209838E-10
   4239.093      1.8209848E-10
   5336.702      1.8209856E-10
   6718.510      1.8209863E-10
   8458.103      1.8209867E-10
   10648.12      1.8209871E-10
   13405.19      1.8209874E-10
   16876.13      1.8209877E-10
   21245.79      1.8209879E-10
   26746.87      1.8209881E-10
   33672.32      1.8209882E-10
   42390.93      1.8209884E-10
   53367.02      1.8209884E-10
   67185.10      1.8209885E-10
   84581.03      1.8209885E-10
 
 ice     
dE/dx(v<vmax)/Emu (/(g/cm2))by muon brems
   26.74687      7.9944220E-07
   33.67231      8.3084888E-07
   42.39093      8.6007913E-07
   53.36702      8.8892210E-07
   67.18510      9.1732034E-07
   84.58103      9.4521289E-07
   106.4812      9.7253564E-07
   134.0519      9.9922215E-07
   168.7613      1.0252044E-06
   212.4579      1.0504140E-06
   267.4687      1.0747833E-06
   336.7231      1.0982470E-06
   423.9093      1.1207435E-06
   533.6702      1.1422165E-06
   671.8510      1.1626167E-06
   845.8103      1.1819029E-06
   1064.812      1.2000437E-06
   1340.519      1.2170178E-06
   1687.613      1.2328155E-06
   2124.579      1.2474380E-06
   2674.687      1.2608982E-06
   3367.231      1.2732197E-06
   4239.093      1.2844359E-06
   5336.702      1.2945895E-06
   6718.510      1.3037308E-06
   8458.103      1.3119159E-06
   10648.12      1.3192060E-06
   13405.19      1.3256654E-06
   16876.13      1.3313597E-06
   21245.79      1.3363551E-06
   26746.87      1.3407166E-06
   33672.32      1.3445076E-06
   42390.93      1.3477883E-06
   53367.02      1.3506157E-06
   67185.10      1.3530429E-06
   84581.03      1.3551186E-06
 
 constant used in muon Nuc. int. sampling
  1.000000000000000E-004  0.100000000000000       0.200000000000000        41.2141989517787        65320.1033514121       1.000000000000000E-002         101          17          34   82233.1380101141
 
 ice     
 Muon Nuc. Int. total X-sec. table (Prob./X0) upto E=   82233.1380101142      GeV
   41.21420      1.3141758E-04
   51.88560      1.4466254E-04
   65.32011      1.5875990E-04
   82.23314      1.7246297E-04
   103.5254      1.8824954E-04
   130.3307      2.0259821E-04
   164.0767      2.1843189E-04
   206.5603      2.3441788E-04
   260.0440      2.5124973E-04
   327.3760      2.6916480E-04
   412.1420      2.8634505E-04
   518.8560      3.0638854E-04
   653.2010      3.2426391E-04
   822.3314      3.4404482E-04
   1035.254      3.6404468E-04
   1303.307      3.8500479E-04
   1640.767      4.0730342E-04
   2065.603      4.2852931E-04
   2600.440      4.5343692E-04
   3273.760      4.7540519E-04
   4121.420      4.9968431E-04
   5188.560      5.2425638E-04
   6532.010      5.4987409E-04
   8223.313      5.6398514E-04
   10352.54      5.5247481E-04
   13033.07      5.4505473E-04
   16407.67      5.4395996E-04
   20656.03      5.4309273E-04
   26004.40      5.4266880E-04
   32737.60      5.4285367E-04
   41214.20      5.4368388E-04
   51885.60      5.4513919E-04
   65320.10      5.4716173E-04
   82233.14      5.4990180E-04
 
   1.888868491531601E-002 = power of energy dependence at higher energies
 ice     
dE/dx(v<vmin)/Emu (/(g/cm2))by muon Nuc. int
   41.21420      0.0000000E+00
   51.88560      0.0000000E+00
   65.32011      0.0000000E+00
   82.23314      0.0000000E+00
   103.5254      0.0000000E+00
   130.3307      0.0000000E+00
   164.0767      0.0000000E+00
   206.5603      0.0000000E+00
   260.0440      0.0000000E+00
   327.3760      0.0000000E+00
   412.1420      0.0000000E+00
   518.8560      0.0000000E+00
   653.2010      0.0000000E+00
   822.3314      0.0000000E+00
   1035.254      0.0000000E+00
   1303.307      0.0000000E+00
   1640.767      0.0000000E+00
   2065.603      0.0000000E+00
   2600.440      0.0000000E+00
   3273.760      0.0000000E+00
   4121.420      0.0000000E+00
   5188.560      0.0000000E+00
   6532.010      0.0000000E+00
   8223.313      3.3913875E-11
   10352.54      1.2215630E-10
   13033.07      1.8177011E-10
   16407.67      2.1617891E-10
   20656.03      2.4358465E-10
   26004.40      2.6519742E-10
   32737.60      2.8169275E-10
   41214.20      2.9363673E-10
   51885.60      3.0257943E-10
   65320.10      3.0885933E-10
   82233.14      3.1282754E-10
 
   7.232781250525955E-002 = power of energy dependence at higher energies
 ice     
dE/dx(v<vmax)/Emu (/(g/cm2))by muon Nuc. int
   41.21420      4.0576609E-07
   51.88560      4.0619491E-07
   65.32011      4.0597601E-07
   82.23314      4.0553067E-07
   103.5254      4.0516159E-07
   130.3307      4.0504531E-07
   164.0767      4.0534835E-07
   206.5603      4.0622587E-07
   260.0440      4.0779884E-07
   327.3760      4.1005424E-07
   412.1420      4.1296110E-07
   518.8560      4.1647027E-07
   653.2010      4.2052298E-07
   822.3314      4.2506673E-07
   1035.254      4.3003035E-07
   1303.307      4.3535661E-07
   1640.767      4.4098974E-07
   2065.603      4.4687934E-07
   2600.440      4.5298063E-07
   3273.760      4.5925447E-07
   4121.420      4.6566691E-07
   5188.560      4.7218904E-07
   6532.010      4.7879621E-07
   8223.313      4.8546758E-07
   10352.54      4.9218579E-07
   13033.07      4.9893913E-07
   16407.67      5.0573141E-07
   20656.03      5.1257501E-07
   26004.40      5.1948564E-07
   32737.60      5.2648033E-07
   41214.20      5.3357621E-07
   51885.60      5.4078981E-07
   65320.10      5.4813631E-07
   82233.14      5.5562901E-07
 
   5.878218843794277E-002 = power of energy dependence at higher energies
 muon nuc. int.  sampling table
   -1.72969   -1.45794   -1.25674   -1.11868   -1.01572   -0.93473   -0.86890
   -0.81390   -0.76690   -0.72603   -0.68998   -0.65779   -0.62877   -0.60237
   -0.57819   -0.55588   -0.53519   -0.51590   -0.49784   -0.48096   -0.46513
   -0.45023   -0.43618   -0.42289   -0.41028   -0.39830   -0.38689   -0.37599
   -0.36558   -0.35560   -0.34603   -0.33683   -0.32799   -0.31947   -0.31125
   -0.30331   -0.29564   -0.28821   -0.28102   -0.27405   -0.26728   -0.26070
   -0.25431   -0.24809   -0.24203   -0.23613   -0.23038   -0.22476   -0.21928
   -0.21392   -0.20869   -0.20356   -0.19855   -0.19364   -0.18882   -0.18410
   -0.17947   -0.17492   -0.17046   -0.16607   -0.16175   -0.15751   -0.15333
   -0.14922   -0.14517   -0.14117   -0.13723   -0.13334   -0.12950   -0.12571
   -0.12196   -0.11825   -0.11458   -0.11095   -0.10735   -0.10378   -0.10024
   -0.09672   -0.09322   -0.08975   -0.08629   -0.08284   -0.07940   -0.07596
   -0.07252   -0.06908   -0.06563   -0.06217   -0.05867   -0.05515   -0.05159
   -0.04796   -0.04427   -0.04049   -0.03655   -0.03248   -0.02794   -0.02309
   -0.01866   -0.01274   -0.00111
 
   -1.92969   -1.62250   -1.40007   -1.24701   -1.13265   -1.04303   -0.97014
   -0.90908   -0.85676   -0.81111   -0.77068   -0.73443   -0.70159   -0.67177
   -0.64461   -0.61972   -0.59677   -0.57551   -0.55572   -0.53723   -0.51989
   -0.50357   -0.48817   -0.47359   -0.45976   -0.44661   -0.43408   -0.42211
   -0.41067   -0.39969   -0.38916   -0.37904   -0.36929   -0.35989   -0.35082
   -0.34206   -0.33358   -0.32536   -0.31740   -0.30967   -0.30217   -0.29487
   -0.28777   -0.28086   -0.27412   -0.26755   -0.26113   -0.25487   -0.24875
   -0.24276   -0.23690   -0.23116   -0.22554   -0.22003   -0.21462   -0.20932
   -0.20411   -0.19899   -0.19396   -0.18901   -0.18414   -0.17934   -0.17461
   -0.16996   -0.16537   -0.16084   -0.15636   -0.15195   -0.14758   -0.14327
   -0.13900   -0.13477   -0.13059   -0.12644   -0.12233   -0.11825   -0.11419
   -0.11017   -0.10616   -0.10218   -0.09821   -0.09425   -0.09030   -0.08635
   -0.08241   -0.07846   -0.07450   -0.07053   -0.06652   -0.06249   -0.05840
   -0.05426   -0.05004   -0.04571   -0.04125   -0.03659   -0.03171   -0.02594
   -0.02049   -0.01430   -0.00070
 
   -2.12969   -1.78736   -1.54332   -1.37483   -1.24904   -1.15038   -1.06983
   -1.00203   -0.94360   -0.89232   -0.84716   -0.80711   -0.77121   -0.73877
   -0.70923   -0.68215   -0.65719   -0.63405   -0.61252   -0.59239   -0.57351
   -0.55574   -0.53896   -0.52307   -0.50799   -0.49364   -0.47995   -0.46688
   -0.45436   -0.44235   -0.43082   -0.41972   -0.40903   -0.39872   -0.38875
   -0.37911   -0.36978   -0.36073   -0.35195   -0.34341   -0.33512   -0.32704
   -0.31918   -0.31151   -0.30403   -0.29672   -0.28958   -0.28261   -0.27579
   -0.26913   -0.26260   -0.25622   -0.24996   -0.24382   -0.23781   -0.23190
   -0.22610   -0.22040   -0.21480   -0.20929   -0.20387   -0.19853   -0.19327
   -0.18809   -0.18298   -0.17794   -0.17296   -0.16805   -0.16319   -0.15839
   -0.15364   -0.14894   -0.14429   -0.13968   -0.13511   -0.13058   -0.12608
   -0.12161   -0.11716   -0.11274   -0.10834   -0.10395   -0.09958   -0.09521
   -0.09084   -0.08646   -0.08208   -0.07767   -0.07324   -0.06876   -0.06424
   -0.05965   -0.05498   -0.05020   -0.04526   -0.04014   -0.03471   -0.02880
   -0.02207   -0.01555   -0.00044
 
   -2.32969   -1.95232   -1.68627   -1.50190   -1.36431   -1.25582   -1.16662
   -1.09094   -1.02622   -0.97033   -0.92135   -0.87791   -0.83898   -0.80378
   -0.77172   -0.74233   -0.71521   -0.69008   -0.66666   -0.64476   -0.62421
   -0.60484   -0.58654   -0.56919   -0.55271   -0.53702   -0.52203   -0.50770
   -0.49396   -0.48077   -0.46812   -0.45596   -0.44426   -0.43298   -0.42209
   -0.41157   -0.40140   -0.39154   -0.38198   -0.37271   -0.36370   -0.35494
   -0.34642   -0.33811   -0.33002   -0.32213   -0.31442   -0.30689   -0.29953
   -0.29233   -0.28528   -0.27837   -0.27160   -0.26497   -0.25846   -0.25206
   -0.24578   -0.23961   -0.23354   -0.22757   -0.22169   -0.21589   -0.21019
   -0.20456   -0.19901   -0.19354   -0.18813   -0.18279   -0.17751   -0.17229
   -0.16712   -0.16200   -0.15694   -0.15192   -0.14694   -0.14200   -0.13709
   -0.13222   -0.12737   -0.12255   -0.11775   -0.11296   -0.10819   -0.10342
   -0.09865   -0.09387   -0.08908   -0.08428   -0.07944   -0.07456   -0.06963
   -0.06462   -0.05953   -0.05431   -0.04895   -0.04337   -0.03748   -0.03121
   -0.02362   -0.01660   -0.00028
 
   -2.52969   -2.11716   -1.82856   -1.62793   -1.47763   -1.35808   -1.25905
   -1.17651   -1.10649   -1.04599   -0.99294   -0.94586   -0.90364   -0.86544
   -0.83060   -0.79863   -0.76910   -0.74169   -0.71612   -0.69218   -0.66970
   -0.64858   -0.62868   -0.60986   -0.59202   -0.57507   -0.55893   -0.54354
   -0.52881   -0.51471   -0.50118   -0.48818   -0.47566   -0.46360   -0.45197
   -0.44072   -0.42984   -0.41931   -0.40909   -0.39918   -0.38955   -0.38019
   -0.37107   -0.36220   -0.35354   -0.34510   -0.33686   -0.32881   -0.32093
   -0.31323   -0.30569   -0.29830   -0.29106   -0.28396   -0.27699   -0.27014
   -0.26342   -0.25681   -0.25031   -0.24391   -0.23761   -0.23140   -0.22529
   -0.21925   -0.21330   -0.20743   -0.20163   -0.19590   -0.19023   -0.18463
   -0.17908   -0.17359   -0.16815   -0.16276   -0.15742   -0.15211   -0.14684
   -0.14160   -0.13640   -0.13122   -0.12606   -0.12091   -0.11578   -0.11066
   -0.10554   -0.10041   -0.09526   -0.09010   -0.08491   -0.07967   -0.07437
   -0.06900   -0.06354   -0.05795   -0.05219   -0.04621   -0.03994   -0.03318
   -0.02512   -0.01746   -0.00018
 
   -2.72969   -2.28170   -1.96981   -1.75235   -1.58803   -1.45600   -1.34864
   -1.25951   -1.18380   -1.11831   -1.06082   -1.00970   -0.96378   -0.92216
   -0.88413   -0.84929   -0.81727   -0.78767   -0.76019   -0.73457   -0.71059
   -0.68807   -0.66685   -0.64680   -0.62780   -0.60977   -0.59260   -0.57623
   -0.56058   -0.54559   -0.53122   -0.51742   -0.50414   -0.49135   -0.47901
   -0.46709   -0.45556   -0.44440   -0.43358   -0.42308   -0.41289   -0.40298
   -0.39333   -0.38395   -0.37480   -0.36587   -0.35716   -0.34865   -0.34033
   -0.33219   -0.32423   -0.31643   -0.30878   -0.30128   -0.29393   -0.28671
   -0.27961   -0.27263   -0.26577   -0.25902   -0.25236   -0.24581   -0.23935
   -0.23297   -0.22669   -0.22048   -0.21434   -0.20828   -0.20228   -0.19635
   -0.19048   -0.18466   -0.17889   -0.17318   -0.16751   -0.16187   -0.15628
   -0.15072   -0.14519   -0.13968   -0.13419   -0.12872   -0.12326   -0.11780
   -0.11234   -0.10688   -0.10140   -0.09589   -0.09035   -0.08476   -0.07911
   -0.07338   -0.06754   -0.06158   -0.05543   -0.04906   -0.04237   -0.03517
   -0.02679   -0.01826   -0.00011
 
   -2.92969   -2.44582   -2.10991   -1.87461   -1.69442   -1.55118   -1.43549
   -1.33927   -1.25737   -1.18636   -1.12384   -1.06816   -1.01839   -0.97359
   -0.93295   -0.89584   -0.86176   -0.83029   -0.80109   -0.77390   -0.74847
   -0.72461   -0.70215   -0.68095   -0.66088   -0.64184   -0.62373   -0.60648
   -0.59000   -0.57424   -0.55914   -0.54464   -0.53070   -0.51729   -0.50436
   -0.49188   -0.47982   -0.46815   -0.45683   -0.44586   -0.43520   -0.42485
   -0.41477   -0.40495   -0.39538   -0.38605   -0.37694   -0.36803   -0.35933
   -0.35081   -0.34247   -0.33429   -0.32628   -0.31842   -0.31070   -0.30312
   -0.29566   -0.28833   -0.28112   -0.27402   -0.26702   -0.26013   -0.25333
   -0.24662   -0.23999   -0.23345   -0.22698   -0.22059   -0.21427   -0.20801
   -0.20181   -0.19566   -0.18957   -0.18353   -0.17754   -0.17158   -0.16566
   -0.15977   -0.15392   -0.14808   -0.14227   -0.13647   -0.13068   -0.12489
   -0.11910   -0.11330   -0.10748   -0.10163   -0.09574   -0.08980   -0.08380
   -0.07771   -0.07151   -0.06517   -0.05865   -0.05188   -0.04477   -0.03715
   -0.02857   -0.01903   -0.00007
 
   -3.12969   -2.60937   -2.24871   -1.99407   -1.79758   -1.64367   -1.51905
   -1.41509   -1.32629   -1.24916   -1.18184   -1.12246   -1.06954   -1.02196
   -0.97887   -0.93958   -0.90354   -0.87031   -0.83954   -0.81092   -0.78420
   -0.75916   -0.73563   -0.71345   -0.69249   -0.67263   -0.65375   -0.63577
   -0.61861   -0.60219   -0.58646   -0.57136   -0.55684   -0.54287   -0.52939
   -0.51638   -0.50379   -0.49162   -0.47981   -0.46837   -0.45725   -0.44644
   -0.43592   -0.42567   -0.41568   -0.40594   -0.39642   -0.38712   -0.37803
   -0.36913   -0.36041   -0.35187   -0.34349   -0.33527   -0.32719   -0.31926
   -0.31146   -0.30379   -0.29623   -0.28880   -0.28147   -0.27424   -0.26711
   -0.26007   -0.25312   -0.24626   -0.23947   -0.23275   -0.22611   -0.21953
   -0.21301   -0.20655   -0.20014   -0.19378   -0.18747   -0.18120   -0.17496
   -0.16875   -0.16258   -0.15642   -0.15029   -0.14416   -0.13805   -0.13193
   -0.12581   -0.11968   -0.11352   -0.10734   -0.10111   -0.09483   -0.08847
   -0.08203   -0.07547   -0.06875   -0.06185   -0.05469   -0.04717   -0.03913
   -0.03027   -0.01978   -0.00004
 
   -3.32969   -2.77226   -2.38598   -2.11000   -1.89833   -1.73307   -1.59874
   -1.48616   -1.39047   -1.30839   -1.23697   -1.17408   -1.11815   -1.06798
   -1.02264   -0.98139   -0.94364   -0.90892   -0.87684   -0.84703   -0.81922
   -0.79317   -0.76870   -0.74562   -0.72380   -0.70312   -0.68346   -0.66474
   -0.64687   -0.62978   -0.61341   -0.59770   -0.58259   -0.56804   -0.55402
   -0.54048   -0.52738   -0.51471   -0.50243   -0.49051   -0.47894   -0.46769
   -0.45674   -0.44607   -0.43567   -0.42553   -0.41562   -0.40593   -0.39646
   -0.38718   -0.37810   -0.36920   -0.36046   -0.35189   -0.34347   -0.33519
   -0.32705   -0.31905   -0.31116   -0.30340   -0.29574   -0.28819   -0.28074
   -0.27338   -0.26612   -0.25893   -0.25183   -0.24480   -0.23785   -0.23095
   -0.22412   -0.21735   -0.21063   -0.20396   -0.19734   -0.19075   -0.18420
   -0.17768   -0.17119   -0.16472   -0.15826   -0.15182   -0.14538   -0.13895
   -0.13250   -0.12604   -0.11955   -0.11303   -0.10647   -0.09984   -0.09314
   -0.08633   -0.07941   -0.07233   -0.06504   -0.05749   -0.04956   -0.04109
   -0.03173   -0.02052   -0.00003
 
   -3.52969   -2.93440   -2.52146   -2.22272   -1.99640   -1.81894   -1.67391
   -1.55339   -1.45199   -1.36520   -1.28990   -1.22378   -1.16517   -1.11275
   -1.06553   -1.02262   -0.98338   -0.94728   -0.91389   -0.88287   -0.85394
   -0.82685   -0.80139   -0.77740   -0.75472   -0.73322   -0.71279   -0.69334
   -0.67477   -0.65702   -0.64001   -0.62369   -0.60800   -0.59289   -0.57832
   -0.56426   -0.55066   -0.53750   -0.52474   -0.51237   -0.50035   -0.48866
   -0.47729   -0.46621   -0.45541   -0.44486   -0.43457   -0.42450   -0.41466
   -0.40502   -0.39558   -0.38632   -0.37724   -0.36832   -0.35956   -0.35095
   -0.34248   -0.33415   -0.32594   -0.31785   -0.30987   -0.30201   -0.29424
   -0.28657   -0.27900   -0.27150   -0.26409   -0.25676   -0.24949   -0.24230
   -0.23516   -0.22808   -0.22106   -0.21408   -0.20715   -0.20026   -0.19340
   -0.18657   -0.17977   -0.17299   -0.16622   -0.15946   -0.15271   -0.14595
   -0.13918   -0.13239   -0.12558   -0.11872   -0.11182   -0.10485   -0.09780
   -0.09064   -0.08336   -0.07590   -0.06824   -0.06028   -0.05194   -0.04303
   -0.03320   -0.02128   -0.00002
 
   -3.72969   -3.09575   -2.65486   -2.33333   -2.09152   -1.90075   -1.74573
   -1.61833   -1.51146   -1.42034   -1.34158   -1.27273   -1.21182   -1.15735
   -1.10824   -1.06362   -1.02282   -0.98530   -0.95060   -0.91838   -0.88833
   -0.86020   -0.83377   -0.80886   -0.78532   -0.76301   -0.74182   -0.72163
   -0.70238   -0.68396   -0.66632   -0.64940   -0.63313   -0.61746   -0.60236
   -0.58778   -0.57368   -0.56004   -0.54681   -0.53398   -0.52152   -0.50941
   -0.49761   -0.48613   -0.47493   -0.46400   -0.45332   -0.44288   -0.43267
   -0.42267   -0.41288   -0.40327   -0.39385   -0.38459   -0.37550   -0.36656
   -0.35777   -0.34911   -0.34058   -0.33218   -0.32389   -0.31572   -0.30764
   -0.29967   -0.29179   -0.28399   -0.27628   -0.26864   -0.26107   -0.25358
   -0.24614   -0.23876   -0.23144   -0.22416   -0.21693   -0.20973   -0.20257
   -0.19544   -0.18833   -0.18124   -0.17416   -0.16709   -0.16002   -0.15295
   -0.14586   -0.13875   -0.13160   -0.12442   -0.11718   -0.10986   -0.10247
   -0.09496   -0.08731   -0.07948   -0.07143   -0.06309   -0.05433   -0.04498
   -0.03467   -0.02207   -0.00001
 
   -3.92969   -3.25624   -2.78585   -2.44169   -2.18334   -1.97906   -1.81546
   -1.68153   -1.56971   -1.47485   -1.39309   -1.32157   -1.25827   -1.20169
   -1.15068   -1.10435   -1.06199   -1.02305   -0.98705   -0.95363   -0.92246
   -0.89328   -0.86588   -0.84006   -0.81567   -0.79255   -0.77059   -0.74968
   -0.72974   -0.71067   -0.69240   -0.67487   -0.65802   -0.64181   -0.62617
   -0.61108   -0.59649   -0.58236   -0.56868   -0.55540   -0.54250   -0.52996
   -0.51775   -0.50586   -0.49427   -0.48295   -0.47190   -0.46109   -0.45052
   -0.44017   -0.43002   -0.42008   -0.41032   -0.40073   -0.39131   -0.38205
   -0.37293   -0.36396   -0.35512   -0.34641   -0.33781   -0.32933   -0.32096
   -0.31268   -0.30450   -0.29640   -0.28839   -0.28046   -0.27260   -0.26480
   -0.25707   -0.24940   -0.24178   -0.23420   -0.22667   -0.21918   -0.21172
   -0.20429   -0.19687   -0.18948   -0.18210   -0.17472   -0.16734   -0.15995
   -0.15254   -0.14510   -0.13764   -0.13012   -0.12254   -0.11489   -0.10715
   -0.09928   -0.09127   -0.08307   -0.07464   -0.06589   -0.05672   -0.04694
   -0.03614   -0.02289   -0.00001
 
   -4.00000   -3.26239   -2.77002   -2.41784   -2.15227   -1.94771   -1.78571
   -1.65428   -1.54503   -1.45226   -1.37215   -1.30201   -1.23990   -1.18434
   -1.13424   -1.08871   -1.04707   -1.00876   -0.97335   -0.94045   -0.90977
   -0.88105   -0.85406   -0.82863   -0.80459   -0.78181   -0.76016   -0.73955
   -0.71988   -0.70108   -0.68306   -0.66577   -0.64915   -0.63315   -0.61772
   -0.60283   -0.58843   -0.57449   -0.56098   -0.54787   -0.53514   -0.52276
   -0.51071   -0.49897   -0.48752   -0.47635   -0.46543   -0.45476   -0.44432
   -0.43410   -0.42408   -0.41425   -0.40461   -0.39515   -0.38584   -0.37670
   -0.36770   -0.35884   -0.35011   -0.34150   -0.33302   -0.32464   -0.31637
   -0.30820   -0.30012   -0.29213   -0.28422   -0.27639   -0.26863   -0.26094
   -0.25331   -0.24574   -0.23822   -0.23075   -0.22332   -0.21592   -0.20857
   -0.20123   -0.19393   -0.18663   -0.17935   -0.17208   -0.16480   -0.15752
   -0.15022   -0.14290   -0.13554   -0.12813   -0.12067   -0.11313   -0.10550
   -0.09776   -0.08987   -0.08180   -0.07350   -0.06489   -0.05586   -0.04622
   -0.03560   -0.02265    0.00000
 
   -4.00000   -3.22603   -2.71602   -2.35696   -2.09384   -1.89457   -1.73832
   -1.61145   -1.50576   -1.41589   -1.33821   -1.27014   -1.20981   -1.15583
   -1.10710   -1.06280   -1.02227   -0.98496   -0.95046   -0.91840   -0.88849
   -0.86047   -0.83414   -0.80932   -0.78586   -0.76361   -0.74248   -0.72234
   -0.70313   -0.68475   -0.66715   -0.65025   -0.63400   -0.61835   -0.60327
   -0.58870   -0.57462   -0.56098   -0.54776   -0.53494   -0.52248   -0.51037
   -0.49857   -0.48709   -0.47588   -0.46495   -0.45426   -0.44382   -0.43360
   -0.42360   -0.41379   -0.40418   -0.39474   -0.38548   -0.37638   -0.36743
   -0.35862   -0.34995   -0.34141   -0.33299   -0.32469   -0.31650   -0.30841
   -0.30042   -0.29252   -0.28471   -0.27698   -0.26932   -0.26174   -0.25422
   -0.24677   -0.23937   -0.23202   -0.22473   -0.21747   -0.21026   -0.20307
   -0.19592   -0.18879   -0.18168   -0.17458   -0.16748   -0.16039   -0.15329
   -0.14618   -0.13904   -0.13187   -0.12466   -0.11740   -0.11006   -0.10264
   -0.09510   -0.08743   -0.07958   -0.07151   -0.06313   -0.05435   -0.04498
   -0.03465   -0.02212    0.00000
 
   -4.00000   -3.19498   -2.67180   -2.31068   -2.05265   -1.85897   -1.70665
   -1.58281   -1.47952   -1.39161   -1.31557   -1.24890   -1.18977   -1.13683
   -1.08903   -1.04555   -1.00576   -0.96912   -0.93522   -0.90372   -0.87431
   -0.84677   -0.82088   -0.79646   -0.77338   -0.75149   -0.73069   -0.71087
   -0.69195   -0.67386   -0.65652   -0.63987   -0.62387   -0.60846   -0.59359
   -0.57924   -0.56536   -0.55192   -0.53890   -0.52626   -0.51398   -0.50204
   -0.49041   -0.47909   -0.46804   -0.45726   -0.44673   -0.43643   -0.42636
   -0.41649   -0.40682   -0.39734   -0.38804   -0.37891   -0.36993   -0.36111
   -0.35242   -0.34388   -0.33546   -0.32716   -0.31898   -0.31091   -0.30293
   -0.29506   -0.28728   -0.27958   -0.27197   -0.26443   -0.25696   -0.24956
   -0.24222   -0.23494   -0.22771   -0.22053   -0.21339   -0.20629   -0.19923
   -0.19219   -0.18518   -0.17819   -0.17122   -0.16425   -0.15728   -0.15031
   -0.14332   -0.13632   -0.12928   -0.12221   -0.11508   -0.10789   -0.10060
   -0.09322   -0.08569   -0.07800   -0.07009   -0.06188   -0.05328   -0.04409
   -0.03397   -0.02174    0.00000
 
   -4.00000   -3.16180   -2.62711   -2.27077   -2.01928   -1.82993   -1.68079
   -1.55939   -1.45804   -1.37172   -1.29700   -1.23145   -1.17329   -1.12120
   -1.07414   -1.03132   -0.99211   -0.95601   -0.92260   -0.89153   -0.86253
   -0.83536   -0.80982   -0.78572   -0.76294   -0.74133   -0.72079   -0.70122
   -0.68253   -0.66466   -0.64753   -0.63108   -0.61527   -0.60004   -0.58535
   -0.57116   -0.55744   -0.54415   -0.53127   -0.51878   -0.50664   -0.49483
   -0.48334   -0.47214   -0.46122   -0.45056   -0.44015   -0.42997   -0.42001
   -0.41026   -0.40071   -0.39134   -0.38215   -0.37312   -0.36425   -0.35553
   -0.34696   -0.33852   -0.33020   -0.32201   -0.31393   -0.30596   -0.29809
   -0.29032   -0.28264   -0.27504   -0.26753   -0.26009   -0.25273   -0.24543
   -0.23819   -0.23101   -0.22389   -0.21681   -0.20978   -0.20278   -0.19583
   -0.18890   -0.18199   -0.17511   -0.16824   -0.16138   -0.15453   -0.14767
   -0.14080   -0.13391   -0.12699   -0.12004   -0.11303   -0.10596   -0.09880
   -0.09154   -0.08415   -0.07660   -0.06882   -0.06077   -0.05232   -0.04330
   -0.03336   -0.02141    0.00000
 
   -4.00000   -3.12779   -2.58875   -2.23989   -1.99332   -1.80733   -1.66065
   -1.54113   -1.44126   -1.35615   -1.28244   -1.21773   -1.16030   -1.10884
   -1.06233   -1.02000   -0.98123   -0.94552   -0.91246   -0.88172   -0.85301
   -0.82611   -0.80081   -0.77695   -0.75437   -0.73297   -0.71261   -0.69322
   -0.67470   -0.65699   -0.64002   -0.62372   -0.60805   -0.59295   -0.57840
   -0.56434   -0.55074   -0.53758   -0.52482   -0.51244   -0.50042   -0.48872
   -0.47734   -0.46625   -0.45543   -0.44488   -0.43457   -0.42449   -0.41463
   -0.40497   -0.39551   -0.38624   -0.37714   -0.36821   -0.35943   -0.35080
   -0.34232   -0.33396   -0.32574   -0.31763   -0.30964   -0.30176   -0.29397
   -0.28629   -0.27870   -0.27119   -0.26376   -0.25641   -0.24913   -0.24192
   -0.23477   -0.22768   -0.22064   -0.21365   -0.20671   -0.19980   -0.19293
   -0.18609   -0.17928   -0.17249   -0.16571   -0.15895   -0.15219   -0.14542
   -0.13865   -0.13186   -0.12504   -0.11818   -0.11128   -0.10431   -0.09727
   -0.09012   -0.08284   -0.07540   -0.06775   -0.05981   -0.05150   -0.04262
   -0.03284   -0.02113    0.00000
 
 
