# ************************************************ 
#     This table  has been made by using ../../Data/BaseM/Pb 
#     with Bremsstrahlung formula: # 1
#     and  Pair creation  formula: # 1.
#     Tue Apr 20 20:25:32 GMT+0900 1999 by KASAHARA Katsuaki using
#     version epics.uv5.00  
# 
#name   Format    Lead
Pb 	1
#
#  Elem	 rho(g/cm^3)	Gas/Solid(1/0)  refl.index Birks c

1         11.35             0               0      0 0 0
# 	Z	A  	N
	82	207.2	1

 Excitation (Ionization) potential = 825.77 eV
 radation length=  .561170302491934 cm  6.36928293328345 g/cm^2
 <Aeff>=  207.200000000000 <Zeff=>  82.0000000000000 <Z2/A>=   32.4517374517375
 plasma energy=  6.107221575761273E-008 GeV no density=  3.298805576496140E+022 /cm^3
 <Z2eff=>  6724.00000000000 <Z/A>=  .395752895752896
Migdal s1=  5.636035528139460E-004
 Conversion factors:
 g/cm^2 to cm=  8.810572687224670E-002
 mb to /(g/cm2)=  2.906436631274131E-006 mb to /cm=  3.298805576496140E-005 mb to /X0=  1.851191723224420E-005
 If a comound is specified as an Atom, use the
 following instead:   2.906436631274131E-006  3.298805576496140E-005  1.851191723224420E-005
 pi x Re**2 * N* Z /A *X0g  = 0.15 Z/A*X0g=  .378685688323710
 media.A, Z, Z^2=  207.200000000000  82.0000000000000  6724.00000000000

 **** Sternheimers consts
 a, b, c =  6.078764767490300E-002  13.5269936162868 -6.20963860875504
 x0, x1 =  .524342217544501  3.00000000000000
 sa, xa =  .250083379238658  1.34816297888726
 minimum dEdx_restricted=  9.213813795083350E-004 GeV/(g/cm^2)  with Tcut=  1.000000000000000E-004 GeV

 **** photoelectric consts
b0, b1, b2=  .233986857464622  1.24176309396325  .283877650514991
fa, a, p=  1.16471072213009  4.202259984614372E-004  .194106041290394
l, ek=  5.43750000000000  9.144640000000000E-005

#-#-#-#-#-#-#-#-#-#-#-#-
 constant for Seltzer Brems sampling table 
  7.110000000000000E-004  1.000000000000000E-005 -3.14813039927023  .100000000000000  .100000000000000  1.00000000000000  21  4.736842105263160E-002  .107406519963512  .107406519963512  .000000000000000  .562341325190349  2.811706625951750E-002  21  20  21

Pb      
Seltzer Brems total X-sec. table upto E=  .100000000000000 GeV
  7.110000E-04  6.09576
  9.104920E-04  5.59974
  1.165957E-03  5.55174
  1.493101E-03  5.70264
  1.912034E-03  5.95079
  2.448512E-03  6.24844
  3.135514E-03  6.56894
  4.015274E-03  6.89911
  5.141878E-03  7.24068
  6.584583E-03  7.58787
  8.432082E-03  7.93329
  1.079795E-02  8.28055
  1.382763E-02  8.62861
  1.770738E-02  8.98170
  2.267571E-02  9.33920
  2.903805E-02  9.69980
  3.718552E-02  10.0635
  4.761902E-02  10.4310
  6.097994E-02  10.7975
  7.808965E-02  11.1593
  .100000  11.5729

Selzter Brems sampling table; log(v/vmin)/(1-u)
    2.83202    2.77419    2.72490    2.68247    2.64577    2.61381    2.58580
    2.56108    2.53913    2.51956    2.50204    2.48622    2.47195    2.45903
    2.44724    2.43658    2.42689    2.41787    2.40992    2.40235

    3.37181    3.28158    3.21004    3.15190    3.10377    3.06337    3.02891
    2.99934    2.97358    2.95111    2.93133    2.91382    2.89827    2.88436
    2.87197    2.86078    2.85076    2.84163    2.83328    2.82593

    3.74227    3.63618    3.55563    3.49190    3.44016    3.39736    3.36133
    3.33076    3.30447    3.28163    3.26174    3.24426    3.22888    3.21529
    3.20326    3.19255    3.18302    3.17442    3.16674    3.15983

    4.06149    3.94766    3.86300    3.79717    3.74449    3.70135    3.66555
    3.63528    3.60943    3.58718    3.56800    3.55134    3.53681    3.52408
    3.51290    3.50306    3.49433    3.48666    3.47990    3.47369

    4.35914    4.24140    4.15519    4.08892    4.03644    3.99396    3.95881
    3.92925    3.90424    3.88299    3.86478    3.84914    3.83565    3.82393
    3.81376    3.80487    3.79702    3.79021    3.78423    3.77889

    4.65017    4.53108    4.44490    4.37934    4.32777    4.28634    4.25210
    4.22361    4.19976    4.17966    4.16263    4.14813    4.13574    4.12509
    4.11592    4.10799    4.10111    4.09520    4.08983    4.08535

    4.93505    4.81608    4.73091    4.66665    4.61655    4.57631    4.54331
    4.51611    4.49355    4.47469    4.45892    4.44559    4.43429    4.42474
    4.41654    4.40954    4.40352    4.39825    4.39394    4.38998

    5.22005    5.10237    5.01886    4.95631    4.90782    4.86887    4.83723
    4.81134    4.79010    4.77253    4.75791    4.74574    4.73554    4.72694
    4.71965    4.71353    4.70826    4.70386    4.69989    4.69672

    5.50248    5.38628    5.30409    5.24275    5.19526    5.15713    5.12639
    5.10144    5.08115    5.06452    5.05087    5.03955    5.03016    5.02238
    5.01584    5.01039    5.00577    5.00183    4.99856    4.99576

    5.78321    5.66863    5.58790    5.52784    5.48134    5.44409    5.41423
    5.39024    5.37089    5.35520    5.34244    5.33200    5.32339    5.31632
    5.31050    5.30559    5.30153    5.29813    5.29541    5.29294

    6.06377    5.95113    5.87203    5.81345    5.76796    5.73164    5.70277
    5.67975    5.66138    5.64662    5.63473    5.62509    5.61727    5.61090
    5.60570    5.60134    5.59782    5.59495    5.59251    5.59044

    6.34319    6.23259    6.15515    6.09804    6.05351    6.01813    5.99023
    5.96820    5.95077    5.93695    5.92591    5.91707    5.90994    5.90423
    5.89955    5.89579    5.89270    5.89015    5.88811    5.88639

    6.62118    6.51272    6.43706    6.38145    6.33793    6.30361    6.27676
    6.25578    6.23932    6.22639    6.21621    6.20815    6.20176    6.19664
    6.19250    6.18921    6.18655    6.18436    6.18255    6.18119

    6.89615    6.78960    6.71559    6.66134    6.61883    6.58557    6.55982
    6.53989    6.52446    6.51246    6.50311    6.49579    6.49001    6.48549
    6.48188    6.47902    6.47671    6.47494    6.47355    6.47220

    7.16875    7.06387    6.99125    6.93804    6.89635    6.86406    6.83929
    6.82034    6.80582    6.79466    6.78605    6.77938    6.77421    6.77017
    6.76702    6.76450    6.76257    6.76103    6.75972    6.75871

    7.43882    7.33537    7.26396    7.21164    7.17070    7.13930    7.11549
    7.09745    7.08379    7.07342    7.06549    7.05945    7.05478    7.05122
    7.04838    7.04624    7.04456    7.04324    7.04203    7.04130

    7.70586    7.60351    7.53316    7.48157    7.44139    7.41089    7.38801
    7.37090    7.35806    7.34844    7.34116    7.33568    7.33149    7.32833
    7.32584    7.32398    7.32257    7.32142    7.32057    7.31979

    7.96942    7.86770    7.79807    7.74695    7.70743    7.67782    7.65586
    7.63963    7.62761    7.61866    7.61200    7.60704    7.60330    7.60048
    7.59828    7.59671    7.59543    7.59451    7.59374    7.59313

    8.23067    8.12937    8.06042    8.00974    7.97100    7.94233    7.92135
    7.90600    7.89477    7.88652    7.88044    7.87596    7.87262    7.87013
    7.86825    7.86683    7.86577    7.86495    7.86439    7.86385

    8.49019    8.38941    8.32125    8.27119    8.23344    8.20586    8.18591
    8.17151    8.16111    8.15354    8.14804    8.14402    8.14105    8.13888
    8.13726    8.13606    8.13507    8.13446    8.13384    8.13352

    8.75615    8.66296    8.60336    8.56397    8.53732    8.51901    8.50627
    8.49733    8.49101    8.48650    8.48330    8.48097    8.47931    8.47807
    8.47720    8.47653    8.47603    8.47570    8.47555    8.42367


Seltzer Brems sampling tbl in B; log(v/vmin)
    5.03927    4.98296    5.03968    5.03930    5.03778    5.03600    5.03499
    5.02514    5.01994    5.00810    4.99194    4.97293    4.94880    4.91742
    4.87681    4.82722    4.76941    4.70439    4.63277    4.55432    4.46917

    8.58246    8.64718    8.57775    8.57953    8.57614    8.56784    8.55654
    8.53043    8.49284    8.43858    8.36403    8.27111    8.15580    8.01637
    7.85283    7.66865    7.46471    7.24527    7.01291    6.77290    6.52974

   12.58058   12.67808   12.58482   12.58334   12.57098   12.54606   12.49438
   12.42982   12.31475   12.15850   11.95015   11.69305   11.39115   11.04718
   10.66891   10.26456    9.84322    9.41309    8.98168    8.55549    8.13943

   16.77069   16.70825   16.75659   16.74791   16.71705   16.65144   16.53355
   16.35724   16.09790   15.75066   15.32162   14.81844   14.25182   13.64090
   13.00224   12.35312   11.70714   11.07381   10.46106    9.87417    9.31753

   21.09071   21.11528   21.05792   21.03621   20.96736   20.82475   20.58915
   20.21500   19.70551   19.06290   18.30772   17.47488   16.59549   15.69760
   14.80583   13.93676   13.10117   12.30576   11.55460   10.84958   10.19150

   25.15734   25.14213   25.16845   25.12228   25.00096   24.75701   24.32249
   23.67542   22.78581   21.72782   20.58291   19.40302   18.23299   17.10233
   16.02393   15.00437   14.04571   13.14870   12.31138   11.53396   10.81428

   29.24061   29.35652   29.36006   29.26770   29.10352   28.71855   27.97604
   26.84657   25.43544   23.88625   22.32489   20.81919   19.40569   18.09448
   16.88139   15.75682   14.71672   13.75437   12.86446   12.04263   11.28516

   32.91284   33.18860   33.15744   33.02613   32.86124   32.25436   31.02565
   29.29927   27.31566   25.30225   23.39298   21.64238   20.06606   18.64758
   17.36256   16.18799   15.11279   14.12560   13.21776   12.38123   11.61099

   36.43180   36.82792   36.77399   36.58960   36.37227   35.46153   33.64962
   31.27279   28.69359   26.22630   24.01471   22.07166   20.38454   18.91010
   17.60191   16.42318   15.35094   14.36670   13.46113   12.62582   11.85692

   39.77549   40.08409   40.13830   39.89689   39.58039   38.26457   35.77269
   32.67424   29.53293   26.68577   24.25149   22.18952   20.44961   18.96203
   17.66596   16.51037   15.46384   14.50210   13.61653   12.79762   12.04232

   42.93606   43.33799   43.26232   43.04693   42.47927   40.49797   37.21912
   33.46031   29.86960   26.76492   24.19960   22.08482   20.33550   18.86572
   17.60122   16.48283   15.47436   14.54884   13.69546   12.90473   12.17317

   45.92834   46.20891   46.17001   45.86314   44.91937   42.16450   38.08534
   33.74538   29.81987   26.54824   23.92496   21.80984   20.08935   18.66108
   17.44647   16.37910   15.42066   14.54090   13.72876   12.97332   12.27176

   48.85623   49.26870   48.94496   48.37849   46.93185   43.34627   38.48741
   33.63390   29.45758   26.10898   23.49367   21.42742   19.76567   18.39702
   17.24233   16.23224   15.32875   14.50041   13.73462   13.01924   12.35122

   51.60957   51.94587   51.48015   50.51056   48.34756   43.87024   38.32309
   33.13320   28.84839   25.51142   22.96580   20.98398   19.40612   18.11212
   17.02657   16.07842   15.23416   14.45963   13.74199   13.06759   12.43334

   54.31957   54.62182   54.01413   52.57305   49.27238   43.75037   37.69491
   32.37139   28.12250   24.86763   22.40740   20.51073   19.01779   17.80520
   16.79561   15.91821   15.13864   14.42100   13.75207   13.11855   12.51795

   56.96596   57.10609   56.51139   54.34677   49.60556   43.15749   36.80010
   31.48614   27.33628   24.18987   21.82911   20.02725   18.62335   17.49735
   16.56933   15.76621   15.05313   14.39314   13.77260   13.17903   12.61092

   59.53493   59.58950   58.86476   55.67144   49.48443   42.27622   35.74696
   30.49464   26.48160   23.47695   21.24540   19.55570   18.25094   17.21546
   16.36846   15.63819   14.99026   14.38672   13.81290   13.25750   12.71991

   62.05001   62.07222   60.99091   56.61082   49.14797   41.22930   34.51859
   29.35691   25.54729   22.74871   20.68448   19.12407   17.92657   16.97569
   16.20644   15.54545   14.96008   14.41100   13.88177   13.36130   12.85131

   64.50742   64.55438   62.98531   57.23812   48.41366   39.92494   33.22336
   28.22451   24.64655   22.05287   20.14983   18.71555   17.62218   16.75861
   16.06745   15.47765   14.95422   14.45779   13.97028   13.48217   12.99715

   66.90113   67.03607   64.85998   57.31037   47.21157   38.49486   31.96286
   27.18323   23.80534   21.38654   19.62943   18.32195   17.33574   16.56553
   15.95528   15.43393   14.96913   14.52163   14.07304   13.61533   13.15298

   69.56533 2045.11118  302.43493  123.55754   71.30199   48.80405   36.97296
   29.91881   25.37263   22.30023   20.14820   18.60844   17.48834   16.65444
   16.01252   15.48930   15.02808   14.58867   14.14905   13.70066   13.24689


 constant for Brems sampling table at low energies
  34.5773127401412  1.000000000000000E-004  1.000000000000000E-002 -2.00000000000000  34.5773127401412  9.999999915975831E-003  .100000000000000  1.00000000000000  35  4.736842105263160E-002  .104082095235256  .104082095235256  .000000000000000  .562341325190349  2.811706625951750E-002  35  20  21

Pb      
Brems total X-sec. table upto E=  34.5773127401412 GeV
  1.000000E-02  4.94437
  1.270814E-02  5.30186
  1.614969E-02  5.65936
  2.052326E-02  6.01665
  2.608125E-02  6.37353
  3.314443E-02  6.73101
  4.212041E-02  7.08791
  5.352722E-02  7.44587
  6.802315E-02  7.79990
  8.644480E-02  8.15221
  .109855  8.56715
  .139606  8.91529
  .177413  9.26035
  .225459  9.60272
  .286516  9.94275
  .364109  10.2818
  .462715  10.6205
  .588025  10.9470
  .747270  11.2471
  .949642  11.5073
  1.20682  11.7165
  1.53364  11.8678
  1.94897  11.9587
  2.47678  11.9903
  3.14753  11.9663
  3.99993  11.8923
  5.08317  11.7743
  6.45976  11.6189
  8.20916  11.4316
  10.4323  11.2180
  13.2575  10.9828
  16.8479  10.7298
  21.4105  10.4626
  27.2088  10.1840
  34.5773  9.85825

Brems sampling table at low E for Small Eg
    4.11661    4.01796    3.94336    3.88463    3.83708    3.79782    3.76479
    3.73647    3.71137    3.68921    3.66973    3.65257    3.63746    3.62416
    3.61244    3.60207    3.59284    3.58467    3.57745    3.57104

    4.37468    4.27667    4.20270    4.14476    4.09808    4.05965    4.02748
    3.99949    3.97483    3.95327    3.93446    3.91806    3.90373    3.89126
    3.88032    3.87074    3.86237    3.85500    3.84843    3.84268

    4.63138    4.53386    4.46053    4.40337    4.35755    4.31998    4.28848
    4.26090    4.23685    4.21602    4.19800    4.18249    4.16906    4.15743
    4.14741    4.13869    4.13106    4.12446    4.11861    4.11356

    4.88718    4.79022    4.71755    4.66112    4.61605    4.57929    4.54815
    4.52098    4.49753    4.47743    4.46025    4.44557    4.43297    4.42224
    4.41297    4.40506    4.39816    4.39219    4.38698    4.38265

    5.14285    5.04655    4.97461    4.91896    4.87471    4.83868    4.80781
    4.78111    4.75834    4.73899    4.72264    4.70881    4.69713    4.68716
    4.67870    4.67153    4.66535    4.66016    4.65543    4.65164

    5.39558    5.29950    5.22798    5.17290    5.12928    5.09369    5.06304
    5.03683    5.01474    4.99624    4.98071    4.96772    4.95684    4.94769
    4.93998    4.93347    4.92797    4.92322    4.91937    4.91588

    5.64682    5.55071    5.47948    5.42490    5.38188    5.34657    5.31624
    5.29067    5.26937    5.25168    5.23708    5.22494    5.21486    5.20647
    5.19949    5.19367    5.18874    5.18469    5.18128    5.17822

    5.89629    5.79988    5.72866    5.67431    5.63165    5.59635    5.56632
    5.54138    5.52082    5.50399    5.49020    5.47888    5.46958    5.46194
    5.45560    5.45041    5.44607    5.44236    5.43926    5.43684

    6.14453    6.04783    5.97680    5.92290    5.88077    5.84565    5.81625
    5.79213    5.77254    5.75666    5.74383    5.73337    5.72489    5.71799
    5.71232    5.70768    5.70384    5.70072    5.69800    5.69591

    6.39070    6.29344    6.22240    6.16882    6.12702    6.09215    6.06345
    6.04025    6.02162    6.00671    5.99475    5.98516    5.97742    5.97124
    5.96614    5.96209    5.95871    5.95599    5.95358    5.95190

    6.63832    6.54481    6.47848    6.43043    6.39495    6.36833    6.34809
    6.33260    6.32060    6.31129    6.30397    6.29820    6.29368    6.29008
    6.28721    6.28494    6.28303    6.28159    6.28050    6.27937

    6.88338    6.78945    6.72346    6.67612    6.64149    6.61574    6.59638
    6.58167    6.57041    6.56175    6.55504    6.54982    6.54571    6.54248
    6.53995    6.53791    6.53631    6.53505    6.53396    6.53315

    7.12672    7.03239    6.96679    6.92019    6.88641    6.86155    6.84303
    6.82911    6.81854    6.81049    6.80433    6.79955    6.79588    6.79300
    6.79074    6.78902    6.78763    6.78654    6.78549    6.78490

    7.36849    7.27383    7.20867    7.16284    7.12995    7.10596    7.08828
    7.07509    7.06521    7.05776    7.05209    7.04777    7.04446    7.04187
    7.03987    7.03832    7.03715    7.03625    7.03542    7.03486

    7.60891    7.51396    7.44931    7.40429    7.37228    7.34918    7.33230
    7.31986    7.31061    7.30370    7.29851    7.29460    7.29161    7.28936
    7.28759    7.28623    7.28523    7.28444    7.28385    7.28324

    7.84800    7.75283    7.68868    7.64444    7.61328    7.59096    7.57480
    7.56297    7.55422    7.54769    7.54276    7.53896    7.53602    7.53361
    7.53149    7.52955    7.52722    7.52387    7.51510    7.49512

    8.08592    7.99054    7.92692    7.88343    7.85303    7.83142    7.81583
    7.80444    7.79601    7.78963    7.78471    7.78077    7.77744    7.77438
    7.77128    7.76766    7.76254    7.75315    7.75553    7.78712

    8.32410    8.22909    8.16657    8.12443    8.09546    8.07530    8.06116
    8.05124    8.04432    8.03958    8.03645    8.03461    8.03381    8.03406
    8.03542    8.03836    8.04487    8.07491    8.14020    8.24968

    8.56419    8.47077    8.41059    8.37117    8.34519    8.32823    8.31761
    8.31157    8.30902    8.30935    8.31230    8.31788    8.32655    8.33925
    8.35796    8.38789    8.44955    8.55392    8.71019    8.92915

    8.80776    8.71772    8.66179    8.62722    8.60660    8.59561    8.59168
    8.59328    8.59961    8.61043    8.62605    8.64738    8.67619    8.71564
    8.77249    8.86711    9.01165    9.21674    9.49703    9.87389

    9.05604    8.97165    8.92240    8.89535    8.88319    8.88174    8.88864
    8.90275    8.92370    8.95199    8.98885    9.03664    9.09938    9.18430
    9.31067    9.49387    9.74596   10.08434   10.53438   11.13711

    9.30981    9.23359    9.19377    9.17734    9.17713    9.18926    9.21173
    9.24387    9.28608    9.33979    9.40763    9.49409    9.60648    9.76202
    9.97934   10.27268   10.66095   11.17279   11.85365   12.78100

    9.56937    9.50398    9.47644    9.47384    9.48928    9.51922    9.56220
    9.61821    9.68856    9.77599    9.88502   10.02293   10.20354   10.44913
   10.77527   11.20210   11.75965   12.49463   13.48610   14.88057

    9.83468    9.78271    9.77023    9.78464    9.81934    9.87130    9.93964
   10.02526   10.13057   10.25992   10.42019   10.62234   10.88867   11.23838
   11.69109   12.27673   13.04082   14.05818   15.46322   17.52758

   10.10540   10.06928   10.07452   10.10887   10.16624   10.24412   10.34242
   10.46298   10.60963   10.78859   11.00952   11.28989   11.65305   12.11983
   12.71731   13.48807   14.49967   15.86814   17.81515   20.83496

   10.38104   10.36295   10.38829   10.44528   10.52837   10.63570   10.76806
   10.92842   11.12214   11.35767   11.64807   12.01735   12.48690   13.08287
   13.84289   14.82572   16.12824   17.92464   20.56910   24.94132

   10.66104   10.66292   10.71042   10.79238   10.90388   11.04379   11.21382
   11.41821   11.66408   11.96222   12.33101   12.79567   13.37998   14.11668
   15.05624   16.27766   17.91572   20.22322   23.74854   30.01609

   10.94478   10.96828   11.03974   11.14869   11.29087   11.46598   11.67674
   11.92880   12.23109   12.59716   13.05090   13.61644   14.32249   15.21106
   16.34611   17.83160   19.84950   22.75508   27.36955   36.26676

   11.23176   11.27831   11.37523   11.51288   11.68768   11.90023   12.15437
   12.45714   12.81950   13.25892   13.80143   14.47237   15.30677   16.35619
   17.70110   19.47430   21.91477   25.50662   31.43981   43.94392

   11.52147   11.59228   11.71594   11.88367   12.09271   12.34455   12.64420
   13.00023   13.42569   13.94258   14.57659   15.35674   16.32481   17.54332
   19.11095   21.19351   24.09649   28.46118   35.95844   53.35283

   11.81346   11.90953   12.06098   12.25996   12.50454   12.79720   13.14410
   13.55546   14.04700   14.64391   15.37163   16.26403   17.37029   18.76481
   20.56621   22.97736   26.37951   31.59975   40.91467   64.86313

   12.10739   12.22955   12.40967   12.64086   12.92207   13.25675   13.65238
   14.12077   14.68125   15.35908   16.18210   17.18918   18.43731   20.01356
   22.05827   24.81451   28.74851   34.90110   46.28807   78.91918

   12.40295   12.55192   12.76141   13.02557   13.34429   13.72200   14.16750
   14.69440   15.32555   16.08501   17.00453   18.12811   19.52105   21.28376
   23.57958   26.69516   31.18956   38.34422   52.05144   96.05800

   12.69983   12.87620   13.11567   13.41343   13.77033   14.19186   14.68813
   15.27537   15.97752   16.81934   17.83604   19.07753   20.61751   22.57037
   25.12380   28.61050   33.68966   41.90819   58.17152  116.92651

   12.99824   13.19791   13.46268   13.78895   14.17833   14.63638   15.18180
   15.83097   16.60507   17.52741   18.64142   20.00027   21.68675   23.82939
   26.64055   30.50040   36.17226   45.48425   64.46039  141.69043


Brems sampling tbl at low E for large Eg
   27.36598   27.45969   27.45098   27.30907   27.08198   26.26877   24.60711
   22.48412   20.25618   18.20823   16.44419   14.97762   13.75775   12.74204
   11.88697   11.15408   10.51187    9.93687    9.41336    8.92880    8.47770

   29.92986   29.98390   29.99941   29.75115   29.34078   28.12659   25.89010
   23.28072   20.71044   18.46050   16.59144   15.07961   13.84585   12.83264
   11.98835   11.26959   10.64232   10.08313    9.57495    9.10423    8.66578

   32.41472   32.50219   32.41173   31.95069   31.24956   29.52385   26.75683
   23.69422   20.86375   18.48377   16.56824   15.05605   13.84580   12.86111
   12.04405   11.34959   10.74413   10.20549    9.71680    9.26346    8.84090

   34.86348   35.01512   34.79471   34.16769   32.96429   30.52376   27.14332
   23.76236   20.78720   18.36848   16.45951   14.97058   13.78955   12.83765
   12.05328   11.39071   10.81536   10.30460    9.84092    9.40921    9.00460

   37.33067   37.33326   37.16080   36.29501   34.35209   31.07177   27.23186
   23.60481   20.57583   18.15948   16.27519   14.82181   13.67887   12.76647
   12.02140   11.39775   10.85832   10.38025    9.94554    9.53852    9.15446

   39.71378   39.83700   39.43929   38.20386   35.29241   31.19709   26.99945
   23.27146   20.25345   17.88345   16.05815   14.65307   13.55927   12.69426
   11.99406   11.41378   10.91329   10.47057   10.06579    9.68320    9.31891

   42.07443   42.14679   41.66630   39.77447   35.91148   31.14809   26.62340
   22.81756   19.82873   17.53480   15.78752   14.45723   13.42962   12.62219
   11.97099   11.43514   10.97358   10.56504   10.19033    9.83256    9.48785

   44.39791   44.45320   43.78282   41.15056   36.37544   30.87589   26.06180
   22.19010   19.27699   17.11357   15.49106   14.26034   13.30727   12.55943
   11.95442   11.46107   11.03871   10.66660   10.32320    9.99082    9.66531

   46.68794   46.75673   45.82493   42.24779   36.33711   30.27807   25.39855
   21.58888   18.79420   16.73471   15.20934   14.05927   13.17297   12.48584
   11.93623   11.49173   11.11215   10.77712   10.46412   10.15594    9.84813

   48.94303   49.05783   47.76924   42.96755   35.95674   29.53849   24.68479
   21.00068   18.31842   16.37110   14.93970   13.87297   13.05613   12.43364
   11.93979   11.54651   11.20898   10.90851   10.62345   10.33736   10.04530

 1783.97283 1783.97283  254.13308  101.73514   57.97088   39.30507   29.53024
   23.71056   19.96286   17.41797   15.62266   14.33184   13.38473   12.68029
   12.14637   11.72967   11.38770   11.08712   10.80236   10.51790   10.22598

 1498.70461 1498.70461  223.67556   91.84611   53.19131   36.52587   27.71751
   22.46645   19.08364   16.78665   15.17930   14.02810   13.19312   12.58063
   12.12248   11.76861   11.47832   11.21848   10.96510   10.70322   10.42692

 1261.39968 1261.39968  197.68654   83.11546   48.92431   34.03447   26.10008
   21.35825   18.30195   16.23496   14.80051   13.78381   13.05315   12.52556
   12.13779   11.84147   11.59763   11.37438   11.14827   10.90510   10.64130

 1064.65817 1064.65817  175.37213   75.45084   45.13429   31.81647   24.65214
   20.37212   17.61581   15.76550   14.49054   13.59500   12.96332   12.51314
   12.18954   11.94567   11.74451   11.55336   11.35046   11.12267   10.86804

  904.11788  904.11788  155.85309   68.70981   41.76446   29.80951   23.36266
   19.49189   17.02182   15.37239   14.24307   13.46086   12.91817   12.54126
   12.27621   12.08064   11.91651   11.75383   11.56991   11.35407   11.10585

  769.30240  769.30240  139.07232   62.76351   38.76899   27.99490   22.20372
   18.73334   16.51716   15.05013   14.05702   13.37895   12.91848   12.60781
   12.39696   12.24420   12.11321   11.97450   11.80641   11.59917   11.35443

  657.74205  657.74205  124.56618   57.48056   36.10565   26.43389   21.18593
   18.07142   16.09322   14.79335   13.92890   13.34694   12.96139   12.71076
   12.54826   12.43475   12.33299   12.21413   12.05819   11.85654   11.61264

  565.62793  565.62793  111.84669   52.78359   33.70001   24.97831   20.27578
   17.48805   15.73340   14.59170   13.83943   13.34647   13.02906   12.83355
   12.71578   12.63616   12.55967   12.45803   12.31112   12.11280   11.86807

  486.66884  486.66884  100.59265   48.56448   31.50969   23.68932   19.46486
   16.96844   15.41693   14.41709   13.77267   13.35806   13.10404   12.95807
   12.87919   12.83035   12.77592   12.68824   12.54870   12.35215   12.10562

  420.67672  420.67672   90.63751   44.74089   29.49374   22.47169   18.70727
   16.48785   15.12329   14.25668   13.70768   13.36568   13.16758   13.06617
   13.02155   12.99964   12.96469   12.88896   12.75505   12.55973   12.31143

  364.79177  364.79177   81.75501   41.24463   27.62165   21.35218   17.99696
   16.03273   14.83850   14.09418   13.63128   13.35338   13.20473   13.14239
   13.12857   13.12942   13.11127   13.04623   12.91787   12.72400   12.47452

  316.34441  316.34441   73.80228   38.02392   25.87407   20.28365   17.31122
   15.59085   14.55541   13.91754   13.53052   13.31060   13.20675   13.17673
   13.18932   13.21080   13.20705   13.15154   13.02870   12.83738   12.58830

  275.14458  275.14458   66.60057   35.05291   24.23985   19.26156   16.64786
   15.16103   14.26123   13.72257   13.40267   13.23372   13.16490   13.16464
   13.19970   13.23796   13.24748   13.20092   13.08431   12.89655   12.64943

  239.66663  239.66663   60.13805   32.31280   22.71305   18.32268   16.02463
   14.72208   13.95565   13.50149   13.24262   13.11753   13.08167   13.10517
   13.15830   13.21086   13.23209   13.19465   13.08489   12.90231   12.65892

  209.14780  209.14780   54.31939   29.78946   21.29070   17.42658   15.42203
   14.29426   13.63846   13.26177   13.05527   12.96538   12.95573   12.99828
   13.06714   13.13212   13.16371   13.13529   13.03330   12.85740   12.61938

  182.44374  182.44374   49.08499   27.47348   19.96832   16.57146   14.83920
   13.86686   13.31548   12.99947   12.83806   12.77899   12.79200   12.85028
   12.93163   13.00691   13.04722   13.02802   12.93450   12.76651   12.53557

  159.55453  159.55453   44.38716   25.35074   18.74293   15.79527   14.27551
   13.44980   12.98044   12.72207   12.59841   12.56344   12.59411   12.66474
   12.75583   12.83939   12.88880   12.87840   12.79403   12.63504   12.41247

  139.71722  139.71722   40.16631   23.41180   17.60932   15.01751   13.73001
   13.03232   12.63914   12.42939   12.33622   12.32388   12.36693   12.44796
   12.54651   12.63690   12.69372   12.69229   12.61742   12.46837   12.25546

  122.55035  122.55035   36.37473   21.64253   16.56374   14.31501   13.22083
   12.61395   12.29129   12.12507   12.05890   12.06194   12.11659   12.20441
   12.30840   12.40465   12.46817   12.47457   12.40997   12.27171   12.06935

  107.48168  107.48168   32.96472   20.03585   15.60023   13.68533   12.70892
   12.21463   11.94257   11.81266   11.76629   11.78441   11.84666   11.93946
   12.04692   12.14732   12.21621   12.23118   12.17669   12.04959   11.85883

   94.51120   94.51120   29.91244   18.57291   14.71356   13.04796   12.23119
   11.81329   11.59270   11.49199   11.46581   11.49293   11.56080   11.65667
   11.76611   11.86960   11.94360   11.96601   11.92156   11.80615   11.62748

   83.25744   83.25744   27.18211   17.24664   13.89553   12.47790   11.78594
   11.42950   11.24712   11.16646   11.15469   11.19081   11.26136   11.35960
   11.47001   11.57513   11.65320   11.68301   11.64829   11.54508   11.37872

   73.33889   73.33889   24.72602   16.04053   13.14090   11.93383   11.33432
   11.04231   10.89957   10.83976   10.83786   10.87970   10.95321   11.05179
   11.16198   11.26754   11.34908   11.38507   11.36032   11.26896   11.11542

   64.75556   64.75556   22.52034   14.94752   12.44296   11.41299   10.91285
   10.67142   10.54956   10.50779   10.51763   10.56119   10.63748   10.73500
   10.84401   10.94942   11.03370   11.07549   11.06001   10.98063   10.84010

    9.77089    9.82285    9.77556    9.77265    9.77624    9.77255    9.80014
    9.81482    9.84863    9.89632    9.96169   10.04225   10.14358   10.26019
   10.38766   10.51286   10.62000   10.69029   10.70645   10.65974   10.55111


 constant for Brems sampling table at high energies
  3.457731274014121E-004  34.5773127401412  1.53879123799871  50  5.000000000000000E-002  .100000000000000  2746573.57903858  5.000000000000000E-002  .200000000000000  1.00000000000000  17  .000000000000000  .668740304976422  16  15  4.458268699842813E-002  50  7.500000000000000E-002  163602.990545026  4.00000000000000

Pb      
Brems total X-sec. table with C.S+LPM upto E=  2746573.57903858 GeV
  34.5773  9.77962
  43.5303  9.48480
  54.8013  9.21717
  68.9908  8.94221
  86.8543  8.66075
  109.343  8.37358
  137.655  8.08547
  173.297  7.79222
  218.168  7.49669
  274.657  7.20218
  345.773  6.90558
  435.303  6.60904
  548.013  6.31475
  689.908  6.02108
  868.543  5.72955
  1093.43  5.44191
  1376.55  5.15738
  1732.97  4.87717
  2181.68  4.60308
  2746.57  4.33417
  3457.73  4.07261
  4353.03  3.81770
  5480.13  3.57143
  6899.08  3.33346
  8685.43  3.10411
  10934.3  2.88466
  13765.5  2.67484
  17329.7  2.47495
  21816.8  2.28503
  27465.7  2.10573
  34577.3  1.93666
  43530.3  1.77776
  54801.3  1.62889
  68990.8  1.48987
  86854.3  1.36042
  109343.  1.24026
  137655.  1.12902
  173297.  1.02640
  218168.  .931883
  274657.  .845030
  345773.  .765392
  435303.  .692516
  548013.  .625952
  689908.  .565257
  868543.  .510002
  1.093431E+06  .459773
  1.376548E+06  .414177
  1.732971E+06  .372837
  2.181681E+06  .335402
  2.746573E+06  .301541

Brems with LPM sampling tbl for small Eg
     .46963     .40854     .35951     .31941     .28631     .25913     .23657
     .21758     .20142     .18751     .17538     .16469     .15514     .14645
     .13834     .13037     .12100

     .47639     .41509     .36578     .32576     .29345     .26691     .24461
     .22584     .20975     .19581     .18359     .17276     .16303     .15413
     .14576     .13745     .12733

     .48537     .42447     .37542     .33590     .30382     .27735     .25513
     .23615     .21990     .20575     .19329     .18220     .17219     .16298
     .15428     .14554     .13451

     .49462     .43416     .38546     .34646     .31466     .28826     .26599
     .24698     .23055     .21619     .20349     .19214     .18184     .17233
     .16327     .15409     .14207

     .50420     .44422     .39608     .35756     .32600     .29967     .27739
     .25827     .24167     .22710     .21417     .20255     .19196     .18214
     .17272     .16309     .14998

     .51412     .45457     .40706     .36902     .33772     .31149     .28919
     .26998     .25323     .23846     .22529     .21341     .20254     .19240
     .18263     .17253     .15825

     .52425     .46512     .41878     .38116     .35008     .32393     .30160
     .28228     .26536     .25039     .23699     .22484     .21368     .20322
     .19308     .18249     .16693

     .53481     .47668     .43067     .39352     .36269     .33665     .31432
     .29492     .27786     .26270     .24908     .23668     .22524     .21446
     .20396     .19287     .17594

     .54547     .48815     .44328     .40654     .37594     .34998     .32764
     .30814     .29094     .27559     .26174     .24909     .23736     .22626
     .21538     .20379     .18537

     .55656     .50063     .45605     .41978     .38943     .36359     .34126
     .32170     .30437     .28885     .27479     .26190     .24990     .23850
     .22724     .21514     .19513

     .56792     .51301     .46951     .43365     .40353     .37779     .35545
     .33582     .31837     .30268     .28841     .27528     .26301     .25129
     .23965     .22703     .20532

     .58021     .52635     .48308     .44773     .41787     .39225     .36995
     .35027     .33271     .31687     .30241     .28905     .27652     .26450
     .25249     .23935     .21583

     .59245     .53957     .49739     .46238     .43276     .40725     .38497
     .36524     .34758     .33159     .31695     .30337     .29058     .27826
     .26588     .25221     .22675

     .60547     .55368     .51173     .47724     .44787     .42251     .40027
     .38052     .36278     .34666     .33185     .31807     .30504     .29242
     .27969     .26549     .23893

     .61852     .56768     .52676     .49260     .46348     .43825     .41605
     .39628     .37846     .36222     .34726     .33328     .32001     .30711
     .29402     .27930     .25208

     .63189     .58244     .54179     .50813     .47929     .45421     .43209
     .41231     .39444     .37810     .36300     .34884     .33536     .32219
     .30875     .29352     .26566

     .64591     .59709     .55744     .52412     .49553     .47060     .44854
     .42877     .41085     .39442     .37919     .36486     .35117     .33774
     .32396     .30823     .27974

     .65987     .61239     .57305     .54020     .51193     .48717     .46520
     .44546     .42752     .41102     .39567     .38120     .36731     .35364
     .33954     .32333     .29421

     .67435     .62757     .58920     .55672     .52869     .50409     .48221
     .46251     .44455     .42799     .41254     .39793     .38387     .36997
     .35555     .33885     .30915

     .68876     .64328     .60525     .57325     .54554     .52115     .49939
     .47973     .46177     .44518     .42965     .41493     .40071     .38659
     .37188     .35471     .32445

     .70355     .65883     .62176     .59015     .56270     .53849     .51684
     .49724     .47930     .46267     .44708     .43226     .41788     .40357
     .38857     .37095     .34017

     .71823     .67482     .63835     .60699     .57988     .55589     .53438
     .51486     .49695     .48032     .46468     .44977     .43527     .42077
     .40551     .38746     .35621

     .73319     .69057     .65484     .62413     .59730     .57351     .55214
     .53270     .51483     .49820     .48253     .46755     .45294     .43827
     .42276     .40429     .37261

     .74797     .70669     .67161     .64133     .61464     .59110     .56989
     .55056     .53275     .51614     .50045     .48542     .47071     .45590
     .44016     .42130     .38926

     .76293     .72269     .68814     .65837     .63219     .60886     .58780
     .56858     .55083     .53426     .51857     .50349     .48871     .47376
     .45781     .43857     .40622

     .77783     .73858     .70494     .67563     .64977     .62667     .60560
     .58650     .56884     .55231     .53664     .52154     .50670     .49164
     .47550     .45591     .42333

     .79243     .75448     .72153     .69253     .66704     .64421     .62352
     .60455     .58697     .57050     .55485     .53974     .52485     .50969
     .49337     .47344     .44071

     .80705     .77022     .73791     .70961     .68445     .66185     .64133
     .62251     .60503     .58862     .57301     .55791     .54299     .52775
     .51127     .49103     .45821

     .82149     .78579     .75439     .72658     .70178     .67943     .65911
     .64025     .62289     .60657     .59101     .57593     .56100     .54569
     .52909     .50857     .47576

     .83556     .80119     .77056     .74325     .71867     .69662     .67651
     .65799     .64074     .62451     .60901     .59397     .57903     .56368
     .54695     .52617     .49344

     .84950     .81634     .78637     .75965     .73559     .71380     .69389
     .67553     .65841     .64227     .62684     .61184     .59691     .58153
     .56470     .54369     .51113

     .86311     .83112     .80214     .77595     .75226     .73074     .71103
     .69282     .67584     .65980     .64445     .62951     .61460     .59920
     .58229     .56108     .52879

     .87634     .84579     .81762     .79198     .76868     .74744     .72794
     .70977     .69292     .67700     .66175     .64687     .63201     .61661
     .59964     .57826     .54632

     .88929     .86001     .83269     .80759     .78457     .76363     .74438
     .72654     .70983     .69403     .67887     .66406     .64925     .63386
     .61684     .59531     .56382

     .90185     .87386     .84727     .82280     .80032     .77967     .76063
     .74296     .72641     .71072     .69566     .68094     .66618     .65082
     .63377     .61213     .58117

     .91398     .88721     .86166     .83777     .81568     .79533     .77651
     .75901     .74260     .72704     .71209     .69745     .68276     .66743
     .65037     .62865     .59832

     .92559     .90030     .87563     .85233     .83064     .81057     .79197
     .77465     .75838     .74296     .72812     .71357     .69896     .68368
     .66662     .64484     .61523

     .93692     .91294     .88915     .86644     .84516     .82538     .80700
     .78985     .77373     .75844     .74371     .72927     .71474     .69952
     .68249     .66068     .63187

     .94779     .92513     .90222     .88010     .85923     .83962     .82149
     .80455     .78861     .77345     .75885     .74451     .73007     .71492
     .69794     .67613     .64821

     .95817     .93679     .91476     .89312     .87270     .85355     .83565
     .81888     .80310     .78807     .77358     .75936     .74501     .72994
     .71300     .69122     .66427

     .96807     .94798     .92673     .90585     .88585     .86699     .84932
     .83273     .81709     .80220     .78784     .77372     .75947     .74448
     .72762     .70591     .67999

     .97751     .95860     .93838     .91809     .89850     .87994     .86248
     .84608     .83058     .81582     .80158     .78758     .77343     .75854
     .74175     .72014     .69533

     .98649     .96888     .94952     .92983     .91064     .89237     .87513
     .85890     .84355     .82892     .81480     .80091     .78688     .77209
     .75540     .73391     .71027

     .99497     .97866     .96017     .94106     .92228     .90429     .88726
     .87120     .85599     .84149     .82749     .81372     .79980     .78512
     .76854     .74722     .72479

    1.00310     .98797     .97032     .95178     .93340     .91569     .89887
     .88296     .86790     .85353     .83965     .82600     .81220     .79763
     .78117     .76005     .73890

    1.01078     .99681     .97996     .96200     .94399     .92656     .90995
     .89421     .87928     .86503     .85128     .83774     .82406     .80962
     .79330     .77240     .75256

    1.01804    1.00517     .98912     .97169     .95408     .93691     .92051
     .90492     .89013     .87600     .86237     .84896     .83539     .82108
     .80491     .78429     .76579

    1.02489    1.01309     .99781     .98094     .96370     .94681     .93060
     .91519     .90054     .88640     .87289     .85960     .84616     .83199
     .81597     .79566     .77853

    1.03130    1.02052    1.00598     .98961     .97273     .95609     .93998
     .92474     .91025     .89640     .88300     .86983     .85651     .84247
     .82663     .80666     .79091

    1.03733    1.02751    1.01369     .99782     .98121     .96486     .94906
     .93398     .91963     .90589     .89262     .87956     .86637     .85248
     .83684     .81724     .80287


Brems with LPM smp tbl; (sqrt(v)-sqrt(vmin)/(1-u)
    9.65485    9.64095    9.65657    9.66562    9.68108    9.73176    9.80956
    9.92928   10.09651   10.29277   10.47591   10.57646   10.53541   10.34354
   10.04098    9.68421

    9.46496    9.45991    9.46601    9.48459    9.50230    9.53946    9.61284
    9.72902    9.89026   10.08185   10.26248   10.36651   10.33485   10.15606
    9.86645    9.52047

    9.26847    9.27887    9.26978    9.25464    9.29289    9.34091    9.41011
    9.52223    9.67830    9.86364   10.04137   10.14868   10.12681    9.96117
    9.68488    9.35027

    9.06802    9.06765    9.06978    9.07176    9.09837    9.13597    9.20435
    9.31222    9.46157    9.64135    9.81604    9.92599    9.91345    9.76138
    9.49873    9.17578

    8.86292    8.85643    8.86412    8.88776    8.88835    8.92471    8.99254
    9.09570    9.23915    9.41375    9.58528    9.69765    9.69471    9.55592
    9.30725    8.99634

    8.65347    8.64521    8.65469    8.65523    8.67816    8.71342    8.77774
    8.87598    9.01400    9.18207    9.34989    9.46423    9.47007    9.34491
    9.11054    8.81216

    8.44343    8.43398    8.44526    8.47050    8.46795    8.50216    8.55996
    8.65642    8.78709    8.94951    9.11376    9.22998    9.24421    9.13228
    8.91218    8.62641

    8.22849    8.22276    8.23017    8.23688    8.25745    8.28457    8.33920
    8.43035    8.55652    8.71230    8.87223    8.98984    9.01217    8.91337
    8.70786    8.43523

    8.01376    8.01153    8.01508    8.00326    8.03181    8.06707    8.12160
    8.20608    8.32616    8.47545    8.63123    8.74946    8.77959    8.69359
    8.50247    8.24498

    7.79539    7.80030    7.79622    7.81669    7.82108    7.84321    7.89490
    7.97702    8.09216    8.23463    8.38617    8.50477    8.54200    8.46871
    8.29228    8.04989

    7.57775    7.58908    7.57925    7.58272    7.59537    7.62576    7.67441
    7.74975    7.85837    7.99545    8.14205    8.26046    8.30455    8.24339
    8.08134    7.85326

    7.35749    7.34767    7.35851    7.34802    7.36945    7.40201    7.44792
    7.51935    7.62290    7.75354    7.89514    8.01336    8.06321    8.01400
    7.86640    7.64377

    7.13829    7.13644    7.13965    7.16147    7.15880    7.17832    7.22456
    7.29075    7.38965    7.51388    7.65002    7.76692    7.82225    7.78435
    7.65496    7.43900

    6.91742    6.92522    6.91891    6.92679    6.93293    6.95468    6.99825
    7.06233    7.15369    7.27213    7.40297    7.51861    7.57876    7.55168
    7.43654    7.22497

    6.69785    6.68381    6.69818    6.69212    6.70709    6.73734    6.77202
    6.83240    6.91998    7.03201    7.15815    7.27158    7.33589    7.31912
    7.21626    7.01487

    6.47750    6.47258    6.47933    6.50560    6.49651    6.51381    6.54895
    6.60428    6.68651    6.79226    6.91260    7.02381    7.09155    7.08534
    6.98571    6.80367

    6.25873    6.26136    6.26049    6.27132    6.27085    6.29038    6.32296
    6.37801    6.45428    6.55415    6.66886    6.77765    6.84829    6.85438
    6.75955    6.58651

    6.04000    6.05013    6.04164    6.03706    6.04521    6.06701    6.10010
    6.15023    6.22230    6.31642    6.42609    6.53162    6.60442    6.61716
    6.53200    6.37459

    5.82320    5.80872    5.82469    5.80318    5.83486    5.84994    5.88035
    5.92588    5.99348    6.08151    6.18546    6.28802    6.36224    6.37959
    6.29937    6.15930

    5.60721    5.59749    5.60774    5.61706    5.62450    5.63291    5.66068
    5.70334    5.76586    5.84820    5.94618    6.04541    6.12223    6.13584
    6.07158    5.94937

    5.39363    5.38627    5.39457    5.38395    5.39929    5.41606    5.44117
    5.48263    5.54046    5.61773    5.71031    5.80548    5.88472    5.89736
    5.84190    5.73820

    5.18155    5.17504    5.18139    5.19860    5.18921    5.20546    5.22776
    5.26367    5.31720    5.38942    5.47656    5.56766    5.64436    5.66021
    5.61734    5.53276

    4.97249    4.96381    4.97388    4.96662    4.97955    4.99506    5.01452
    5.04818    5.09808    5.16515    5.24656    5.33392    5.40603    5.42209
    5.39329    5.32764

    4.76551    4.75258    4.76637    4.78240    4.76988    4.78470    4.80437
    4.83446    4.88111    4.94303    5.01950    5.10397    5.16573    5.19001
    5.17491    5.12893

    4.56223    4.57153    4.56264    4.55120    4.57563    4.58069    4.59735
    4.62581    4.66822    4.72612    4.79693    4.87828    4.93314    4.96011
    4.95884    4.93161

    4.36152    4.36030    4.36268    4.36848    4.36648    4.37683    4.39348
    4.42059    4.45845    4.51196    4.57807    4.65227    4.70432    4.73681
    4.74932    4.73890

    4.16526    4.17925    4.16650    4.18652    4.17272    4.17932    4.19573
    4.21876    4.25467    4.30294    4.36529    4.42788    4.47808    4.51747
    4.54350    4.55351

    3.97273    3.96802    3.97220    3.95721    3.97912    3.98812    3.99807
    4.02198    4.05397    4.09848    4.15736    4.21116    4.26093    4.30662
    4.34584    4.37116

    3.78382    3.78697    3.78357    3.77676    3.78587    3.79709    3.80658
    3.82860    3.85732    3.89853    3.95098    3.99952    4.04688    4.09927
    4.15090    4.19429

    3.60001    3.60592    3.60060    3.59743    3.60812    3.61245    3.62122
    3.64024    3.66663    3.70430    3.75019    3.79199    3.84324    3.90223
    3.96387    4.02481

    3.42075    3.42487    3.42140    3.41885    3.43063    3.42794    3.43898
    3.45691    3.48091    3.51697    3.55496    3.59389    3.64430    3.70978
    3.78521    3.85977

    3.24627    3.24382    3.24598    3.24102    3.25338    3.25598    3.26284
    3.27857    3.30111    3.33287    3.36326    3.40042    3.45356    3.52552
    3.61120    3.70103

    3.07657    3.06277    3.07621    3.06432    3.07651    3.08419    3.09284
    3.10524    3.12627    3.15381    3.17951    3.21653    3.27186    3.35032
    3.44436    3.54924

    2.91255    2.91189    2.91211    2.93647    2.91511    2.91877    2.92594
    2.93854    2.95636    2.98038    3.00365    3.03851    3.09733    3.18144
    3.28565    3.40275

    2.75387    2.76101    2.75367    2.76201    2.75409    2.75974    2.76817
    2.77682    2.79426    2.81255    2.83242    2.86885    2.93111    3.02074
    3.13492    3.26281

    2.60064    2.61014    2.60088    2.58869    2.60855    2.60707    2.61350
    2.62171    2.63707    2.65153    2.67061    2.70828    2.77408    2.86823
    2.98997    3.12929

    2.45299    2.45926    2.45376    2.46419    2.44825    2.46077    2.46194
    2.47158    2.48575    2.49487    2.51419    2.55431    2.62366    2.72439
    2.85252    3.00320

    2.31097    2.30839    2.31041    2.29274    2.31844    2.31458    2.31946
    2.32802    2.33834    2.34678    2.36550    2.40878    2.48133    2.58686
    2.72217    2.88179

    2.17463    2.18769    2.17461    2.17049    2.17399    2.18101    2.18309
    2.18942    2.19773    2.20362    2.22572    2.27138    2.34705    2.45691
    2.59974    2.76656

    2.04420    2.03681    2.04446    2.04937    2.04500    2.04759    2.04981
    2.05741    2.06200    2.06959    2.09242    2.14098    2.22117    2.33466
    2.48289    2.65773

    1.91947    1.91611    1.91998    1.92936    1.91639    1.92054    1.92563
    1.93195    1.93398    1.94104    1.96636    2.01808    2.10167    2.21963
    2.37276    2.55495

    1.80041    1.79541    1.80115    1.81047    1.80324    1.80603    1.80451
    1.81144    1.81178    1.81978    1.84832    1.90266    1.98950    2.11191
    2.26915    2.45809

    1.68698    1.67471    1.68610    1.69234    1.69033    1.69163    1.69246
    1.69583    1.69535    1.70577    1.73629    1.79468    1.88403    2.00986
    2.17174    2.36670

    1.57908    1.58418    1.57859    1.57569    1.57790    1.58363    1.58350
    1.58518    1.58473    1.59721    1.63106    1.69250    1.78547    1.91419
    2.08026    2.28118

    1.47665    1.46348    1.47674    1.46017    1.48093    1.47579    1.48062
    1.48106    1.48178    1.49588    1.53258    1.59662    1.69316    1.82473
    1.99455    2.19993

    1.37955    1.37296    1.37867    1.39310    1.38420    1.38043    1.38378
    1.38184    1.38363    1.40116    1.44085    1.50730    1.60632    1.74087
    1.91462    2.12364

    1.28767    1.28243    1.28814    1.27981    1.28795    1.29147    1.29004
    1.28917    1.29220    1.31127    1.35389    1.42372    1.52513    1.66261
    1.83912    2.05214

    1.20081    1.19191    1.20138    1.21498    1.20703    1.20261    1.20233
    1.20140    1.20556    1.22797    1.27286    1.34586    1.44937    1.58935
    1.76836    1.98515

    1.11900    1.13156    1.11839    1.10319    1.12636    1.12004    1.12066
    1.11851    1.12466    1.14946    1.19776    1.27288    1.37884    1.52149
    1.70254    1.92281

    1.04195    1.04103    1.04106    1.04022    1.04604    1.04382    1.04206
    1.04053    1.04950    1.07753    1.12738    1.20478    1.31334    1.45774
    1.64124    1.86462


 constant for Pair  sampling table at low energies
  1.100000000000000E-003 -2.95860731484178  8.000000000000000E-003  34.5773127401412  3000.00000000000  44  44  5.000000000000000E-002  1.00000000000000  21  4.750000000000000E-002  .104590664019546  .000000000000000  .472870804501588  21  2.364354022507940E-002  .104590664019546  4.931876948698510E-002

Pb      
total pair x-sec. at low E
  1.100000E-03  3.452587E-05
  1.399534E-03  2.039163E-03
  1.780631E-03  8.712601E-03
  2.265503E-03  2.038278E-02
  2.882407E-03  3.649008E-02
  3.667296E-03  5.630596E-02
  4.665914E-03  7.915305E-02
  5.936457E-03  .104453
  7.552974E-03  .131722
  9.609674E-03  .189455
  1.222642E-02  .233357
  1.555572E-02  .278038
  1.979159E-02  .322900
  2.518090E-02  .367294
  3.203775E-02  .410491
  4.076174E-02  .451823
  5.186129E-02  .490695
  6.598329E-02  .526694
  8.395076E-02  .559597
  .106811  .589306
  .135896  .615823
  .172901  .639247
  .219982  .659743
  .279884  .677519
  .356097  .692815
  .453064  .705894
  .576434  .717001
  .733400  .726384
  .933107  .734273
  1.18719  .740879
  1.51047  .746392
  1.92178  .750978
  2.44508  .754784
  3.11089  .757935
  3.95800  .760538
  5.03577  .762685
  6.40703  .764451
  8.15168  .765902
  10.3714  .767092
  13.1956  .768067
  16.7888  .768865
  21.3604  .769518
  27.1769  .770051
  34.5773  .772258

Pair table (v-.5)/(1-u) at low E
     .03277     .03176     .03105     .03050     .03006     .02970     .02940
     .02912     .02891     .02870     .02853     .02838     .02826     .02815
     .02805     .02797     .02790     .02785     .02784     .02779     .02781

     .12460     .12070     .11799     .11591     .11422     .11282     .11163
     .11062     .10976     .10899     .10835     .10777     .10729     .10687
     .10651     .10622     .10600     .10581     .10568     .10563     .10560

     .19673     .19059     .18631     .18303     .18039     .17820     .17634
     .17477     .17340     .17223     .17121     .17032     .16958     .16894
     .16840     .16794     .16757     .16731     .16714     .16704     .16696

     .25347     .24562     .24020     .23605     .23273     .22998     .22768
     .22570     .22401     .22256     .22131     .22022     .21929     .21850
     .21783     .21728     .21686     .21650     .21630     .21608     .21610

     .29817     .28913     .28293     .27823     .27448     .27141     .26884
     .26666     .26480     .26320     .26184     .26066     .25965     .25877
     .25808     .25749     .25702     .25665     .25643     .25617     .25619

     .33351     .32370     .31707     .31209     .30815     .30495     .30228
     .30004     .29815     .29652     .29515     .29396     .29296     .29211
     .29140     .29083     .29037     .29001     .28973     .28959     .28956

     .36156     .35138     .34458     .33954     .33562     .33245     .32984
     .32767     .32586     .32430     .32299     .32189     .32095     .32017
     .31952     .31900     .31856     .31826     .31802     .31792     .31785

     .38395     .37371     .36700     .36209     .35831     .35530     .35285
     .35084     .34918     .34778     .34663     .34564     .34484     .34417
     .34360     .34315     .34281     .34255     .34236     .34219     .34221

     .40194     .39191     .38545     .38078     .37726     .37450     .37230
     .37051     .36908     .36788     .36689     .36609     .36543     .36490
     .36447     .36412     .36386     .36367     .36350     .36339     .36341

     .39607     .38589     .37926     .37479     .37145     .36880     .36671
     .36497     .36352     .36230     .36133     .36062     .36005     .35959
     .35921     .35891     .35864     .35848     .35838     .35820     .35826

     .41282     .40316     .39736     .39329     .39025     .38791     .38612
     .38477     .38372     .38288     .38222     .38171     .38129     .38101
     .38078     .38057     .38047     .38042     .38038     .38042     .38024

     .42617     .41744     .41214     .40849     .40594     .40407     .40268
     .40164     .40089     .40033     .39993     .39967     .39949     .39936
     .39931     .39931     .39931     .39930     .39929     .39925     .39930

     .43716     .42920     .42447     .42139     .41928     .41783     .41682
     .41614     .41571     .41545     .41535     .41535     .41540     .41551
     .41563     .41580     .41594     .41608     .41619     .41623     .41617

     .44625     .43905     .43500     .43243     .43080     .42976     .42916
     .42888     .42880     .42888     .42910     .42938     .42970     .43004
     .43036     .43066     .43092     .43120     .43136     .43140     .43152

     .45384     .44751     .44409     .44209     .44095     .44039     .44024
     .44035     .44069     .44113     .44166     .44225     .44286     .44346
     .44403     .44454     .44501     .44536     .44561     .44573     .44579

     .46028     .45482     .45207     .45068     .45009     .45003     .45032
     .45088     .45160     .45244     .45334     .45426     .45516     .45601
     .45682     .45751     .45809     .45858     .45893     .45921     .45927

     .46582     .46125     .45921     .45844     .45842     .45885     .45964
     .46065     .46177     .46299     .46424     .46548     .46668     .46783
     .46886     .46979     .47057     .47118     .47169     .47197     .47203

     .47064     .46696     .46565     .46549     .46602     .46700     .46824
     .46969     .47122     .47283     .47443     .47602     .47753     .47895
     .48020     .48134     .48228     .48306     .48360     .48396     .48403

     .47486     .47207     .47149     .47193     .47301     .47448     .47618
     .47803     .47997     .48195     .48390     .48580     .48760     .48926
     .49076     .49209     .49319     .49405     .49475     .49511     .49527

     .47857     .47667     .47676     .47782     .47938     .48131     .48346
     .48573     .48802     .49036     .49262     .49482     .49688     .49880
     .50054     .50205     .50332     .50437     .50513     .50548     .50572

     .48188     .48081     .48155     .48314     .48520     .48757     .49011
     .49274     .49541     .49804     .50062     .50311     .50544     .50760
     .50954     .51125     .51269     .51386     .51470     .51514     .51536

     .48480     .48453     .48587     .48796     .49047     .49324     .49615
     .49911     .50212     .50506     .50793     .51068     .51327     .51565
     .51779     .51968     .52126     .52252     .52344     .52396     .52420

     .48741     .48787     .48977     .49230     .49522     .49834     .50160
     .50489     .50820     .51143     .51457     .51757     .52038     .52298
     .52530     .52737     .52908     .53043     .53146     .53198     .53225

     .48972     .49087     .49325     .49620     .49949     .50296     .50651
     .51010     .51366     .51715     .52055     .52376     .52680     .52958
     .53209     .53427     .53613     .53758     .53863     .53939     .53952

     .49179     .49353     .49636     .49970     .50331     .50707     .51091
     .51476     .51858     .52230     .52589     .52931     .53253     .53549
     .53814     .54048     .54243     .54403     .54514     .54590     .54604

     .49361     .49589     .49914     .50280     .50670     .51074     .51480
     .51890     .52290     .52685     .53063     .53423     .53763     .54074
     .54352     .54598     .54802     .54965     .55084     .55152     .55184

     .49523     .49799     .50159     .50555     .50971     .51396     .51826
     .52253     .52676     .53087     .53482     .53859     .54210     .54535
     .54828     .55083     .55297     .55468     .55592     .55676     .55696

     .49667     .49985     .50374     .50795     .51233     .51680     .52127
     .52574     .53012     .53436     .53849     .54239     .54603     .54941
     .55244     .55508     .55731     .55911     .56038     .56114     .56144

     .49793     .50147     .50564     .51007     .51465     .51927     .52393
     .52851     .53303     .53744     .54168     .54569     .54947     .55294
     .55606     .55877     .56109     .56291     .56424     .56500     .56533

     .49902     .50289     .50729     .51190     .51666     .52142     .52620
     .53093     .53556     .54008     .54442     .54855     .55242     .55598
     .55918     .56199     .56435     .56620     .56758     .56834     .56869

     .50000     .50413     .50872     .51351     .51838     .52327     .52818
     .53300     .53775     .54236     .54680     .55100     .55495     .55859
     .56185     .56472     .56710     .56904     .57041     .57134     .57157

     .50084     .50522     .50997     .51487     .51986     .52487     .52986
     .53479     .53962     .54431     .54882     .55310     .55712     .56080
     .56413     .56705     .56947     .57142     .57282     .57367     .57402

     .50157     .50613     .51103     .51606     .52114     .52623     .53130
     .53630     .54121     .54595     .55054     .55488     .55895     .56270
     .56607     .56901     .57150     .57346     .57490     .57582     .57610

     .50219     .50694     .51195     .51705     .52223     .52740     .53252
     .53759     .54254     .54737     .55199     .55639     .56049     .56429
     .56769     .57067     .57320     .57523     .57663     .57748     .57786

     .50274     .50762     .51271     .51792     .52313     .52837     .53356
     .53866     .54367     .54855     .55321     .55764     .56179     .56563
     .56907     .57209     .57461     .57666     .57812     .57896     .57933

     .50320     .50820     .51339     .51863     .52392     .52920     .53442
     .53958     .54461     .54951     .55423     .55871     .56288     .56674
     .57023     .57324     .57580     .57787     .57935     .58028     .58057

     .50361     .50870     .51394     .51924     .52457     .52988     .53515
     .54035     .54541     .55035     .55509     .55959     .56379     .56769
     .57116     .57423     .57683     .57886     .58034     .58127     .58160

     .50395     .50912     .51441     .51974     .52511     .53046     .53575
     .54098     .54608     .55104     .55582     .56032     .56455     .56846
     .57199     .57506     .57765     .57973     .58125     .58209     .58246

     .50425     .50947     .51480     .52017     .52556     .53094     .53626
     .54152     .54663     .55161     .55641     .56094     .56519     .56912
     .57264     .57571     .57835     .58039     .58190     .58291     .58317

     .50449     .50976     .51513     .52054     .52596     .53134     .53669
     .54195     .54709     .55209     .55690     .56145     .56571     .56964
     .57319     .57630     .57889     .58099     .58248     .58340     .58376

     .50471     .51002     .51540     .52084     .52627     .53167     .53704
     .54230     .54748     .55248     .55730     .56187     .56614     .57008
     .57363     .57676     .57938     .58149     .58297     .58389     .58425

     .50487     .51021     .51564     .52109     .52653     .53195     .53732
     .54261     .54778     .55281     .55763     .56220     .56651     .57046
     .57401     .57712     .57975     .58187     .58338     .58422     .58465

     .50502     .51039     .51583     .52128     .52674     .53217     .53756
     .54286     .54805     .55308     .55789     .56249     .56679     .57076
     .57431     .57745     .58007     .58219     .58371     .58455     .58498

     .50570     .51118     .51669     .52219     .52771     .53319     .53862
     .54395     .54918     .55425     .55911     .56375     .56808     .57207
     .57568     .57884     .58148     .58359     .58516     .58600     .58639


Pair table at low E; v
     .53545     .53545     .53544     .53542     .53540     .53535     .53529
     .53519     .53509     .53495     .53478     .53458     .53436     .53410
     .53380     .53346     .53309     .53266     .53220     .53169     .53113

     .53805     .53804     .53804     .53802     .53799     .53793     .53787
     .53777     .53765     .53751     .53733     .53712     .53687     .53660
     .53627     .53591     .53551     .53505     .53456     .53401     .53341

     .54575     .54574     .54573     .54571     .54567     .54561     .54553
     .54541     .54527     .54509     .54488     .54463     .54433     .54399
     .54360     .54317     .54268     .54215     .54154     .54089     .54016

     .55829     .55829     .55827     .55824     .55819     .55812     .55801
     .55786     .55768     .55745     .55718     .55686     .55649     .55605
     .55556     .55501     .55439     .55370     .55294     .55210     .55118

     .57527     .57527     .57525     .57521     .57515     .57505     .57491
     .57472     .57449     .57419     .57383     .57342     .57294     .57238
     .57175     .57103     .57023     .56934     .56835     .56726     .56608

     .59615     .59614     .59612     .59607     .59599     .59586     .59569
     .59544     .59514     .59477     .59431     .59379     .59316     .59246
     .59164     .59072     .58970     .58856     .58731     .58591     .58440

     .62028     .62028     .62025     .62019     .62008     .61992     .61969
     .61939     .61901     .61854     .61799     .61732     .61654     .61565
     .61463     .61349     .61220     .61078     .60920     .60747     .60556

     .64694     .64694     .64690     .64683     .64670     .64650     .64622
     .64586     .64540     .64482     .64413     .64332     .64237     .64128
     .64003     .63863     .63706     .63533     .63339     .63127     .62895

     .67539     .67539     .67534     .67526     .67510     .67486     .67453
     .67409     .67355     .67286     .67204     .67106     .66993     .66862
     .66714     .66546     .66359     .66150     .65920     .65666     .65389

     .70487     .70487     .70482     .70472     .70453     .70425     .70387
     .70335     .70270     .70190     .70094     .69980     .69848     .69695
     .69523     .69326     .69107     .68864     .68595     .68298     .67975

     .73467     .73466     .73460     .73449     .73427     .73396     .73351
     .73293     .73218     .73126     .73016     .72886     .72734     .72559
     .72360     .72135     .71885     .71606     .71298     .70958     .70587

     .76411     .76409     .76404     .76390     .76367     .76331     .76281
     .76214     .76131     .76027     .75903     .75757     .75585     .75388
     .75165     .74912     .74630     .74316     .73969     .73589     .73172

     .79262     .79260     .79254     .79239     .79213     .79173     .79118
     .79044     .78951     .78837     .78700     .78536     .78347     .78129
     .77881     .77601     .77289     .76942     .76558     .76137     .75676

     .81971     .81970     .81963     .81946     .81918     .81874     .81814
     .81734     .81632     .81507     .81356     .81179     .80972     .80734
     .80463     .80159     .79818     .79440     .79022     .78563     .78061

     .84502     .84500     .84493     .84475     .84444     .84397     .84331
     .84245     .84136     .84001     .83838     .83646     .83424     .83167
     .82876     .82549     .82182     .81776     .81326     .80835     .80296

     .86825     .86823     .86815     .86796     .86764     .86713     .86643
     .86551     .86434     .86291     .86118     .85914     .85676     .85404
     .85095     .84746     .84358     .83926     .83451     .82929     .82358

     .88925     .88923     .88915     .88895     .88860     .88807     .88733
     .88636     .88513     .88361     .88179     .87964     .87715     .87429
     .87103     .86739     .86330     .85879     .85381     .84834     .84237

     .90794     .90792     .90783     .90762     .90726     .90671     .90594
     .90492     .90364     .90206     .90015     .89792     .89532     .89235
     .88897     .88519     .88095     .87627     .87111     .86545     .85928

     .92433     .92431     .92422     .92400     .92362     .92305     .92225
     .92120     .91988     .91825     .91628     .91397     .91130     .90825
     .90478     .90088     .89656     .89175     .88647     .88068     .87435

     .93849     .92328     .92304     .92230     .92147     .92028     .91886
     .91713     .91520     .91278     .91033     .90741     .90409     .90065
     .89676     .89240     .88770     .88272     .87726     .87129     .86479

     .95056     .93940     .93908     .93847     .93750     .93647     .93501
     .93341     .93140     .92924     .92664     .92384     .92071     .91715
     .91325     .90908     .90448     .89939     .89382     .88788     .88149

     .96070     .95248     .95211     .95157     .95073     .94956     .94831
     .94665     .94484     .94259     .94021     .93745     .93429     .93095
     .92718     .92300     .91838     .91343     .90803     .90212     .89570

     .96911     .96305     .96271     .96212     .96138     .96034     .95900
     .95754     .95569     .95369     .95131     .94863     .94570     .94238
     .93866     .93462     .93019     .92533     .91997     .91410     .90772

     .97599     .97153     .97121     .97067     .96990     .96896     .96776
     .96628     .96463     .96264     .96040     .95789     .95503     .95182
     .94830     .94439     .94006     .93527     .93004     .92433     .91809

     .98155     .97825     .97796     .97747     .97677     .97586     .97474
     .97339     .97178     .96995     .96785     .96541     .96270     .95968
     .95628     .95250     .94830     .94370     .93865     .93306     .92693

     .98598     .98354     .98327     .98281     .98217     .98136     .98031
     .97906     .97758     .97586     .97384     .97160     .96903     .96614
     .96289     .95929     .95530     .95085     .94594     .94051     .93452

     .98946     .98766     .98741     .98700     .98642     .98566     .98472
     .98355     .98219     .98058     .97874     .97664     .97422     .97148
     .96844     .96500     .96118     .95691     .95216     .94693     .94113

     .99217     .99084     .99063     .99027     .98974     .98905     .98818
     .98714     .98588     .98441     .98270     .98073     .97848     .97592
     .97304     .96980     .96615     .96208     .95754     .95249     .94691

     .99424     .99327     .99309     .99276     .99229     .99167     .99089
     .98994     .98881     .98746     .98588     .98407     .98199     .97959
     .97689     .97381     .97038     .96650     .96217     .95734     .95197

     .99582     .99511     .99495     .99466     .99424     .99369     .99300
     .99215     .99112     .98989     .98846     .98679     .98486     .98263
     .98010     .97723     .97398     .97031     .96620     .96158     .95644

     .99699     .99649     .99633     .99609     .99573     .99524     .99462
     .99386     .99294     .99183     .99053     .98899     .98720     .98516
     .98281     .98011     .97706     .97358     .96969     .96530     .96037

     .99786     .99749     .99737     .99714     .99684     .99641     .99587
     .99520     .99436     .99337     .99219     .99079     .98915     .98725
     .98506     .98256     .97969     .97642     .97273     .96855     .96384

     .99850     .99823     .99813     .99794     .99767     .99729     .99682
     .99622     .99548     .99460     .99352     .99224     .99075     .98900
     .98696     .98462     .98194     .97887     .97535     .97137     .96685

     .99896     .99877     .99868     .99852     .99828     .99796     .99755
     .99702     .99636     .99557     .99459     .99344     .99207     .99045
     .98856     .98637     .98386     .98095     .97762     .97381     .96945

     .99928     .99915     .99908     .99894     .99874     .99847     .99810
     .99763     .99705     .99634     .99545     .99440     .99315     .99166
     .98991     .98786     .98547     .98271     .97953     .97587     .97168

     .99951     .99941     .99935     .99925     .99906     .99883     .99851
     .99810     .99758     .99694     .99615     .99519     .99403     .99266
     .99103     .98909     .98684     .98422     .98115     .97763     .97356

     .99967     .99960     .99956     .99945     .99931     .99910     .99884
     .99848     .99802     .99744     .99672     .99584     .99477     .99349
     .99195     .99013     .98797     .98545     .98250     .97908     .97511

     .99978     .99973     .99970     .99961     .99949     .99932     .99907
     .99875     .99834     .99782     .99717     .99636     .99537     .99416
     .99271     .99097     .98890     .98646     .98361     .98027     .97638

     .99986     .99982     .99979     .99973     .99962     .99947     .99925
     .99898     .99861     .99814     .99753     .99678     .99585     .99471
     .99334     .99166     .98966     .98730     .98449     .98121     .97740

     .99991     .99988     .99985     .99979     .99972     .99958     .99940
     .99915     .99882     .99839     .99782     .99712     .99625     .99515
     .99383     .99221     .99026     .98794     .98519     .98197     .97821

     .99994     .99992     .99990     .99986     .99978     .99966     .99951
     .99928     .99899     .99857     .99806     .99740     .99656     .99551
     .99421     .99264     .99073     .98846     .98574     .98256     .97882

     .99996     .99995     .99992     .99989     .99983     .99973     .99959
     .99939     .99912     .99873     .99825     .99762     .99680     .99579
     .99452     .99298     .99111     .98885     .98616     .98300     .97928

     .99998     .99997     .99995     .99992     .99986     .99979     .99965
     .99947     .99921     .99885     .99840     .99777     .99699     .99600
     .99475     .99322     .99138     .98914     .98648     .98332     .97963

     .99999     .99998     .99998     .99998     .99995     .99992     .99983
     .99970     .99949     .99920     .99877     .99822     .99748     .99653
     .99534     .99384     .99203     .98983     .98721     .98409     .98042


constant used in Pair cre. sampling with LPM
  3000.00000000000  25  2.500000000000000E-002  .100000000000000  .000000000000000  1.00000000000000  41  3.47712125471966  753565.929452875

Pb      
Pair total x-sec. with LPM
  3000.00  .772288
  3776.78  .776237
  4754.68  .776965
  5985.79  .776755
  7535.66  .774060
  9486.83  .769022
  11943.2  .760144
  15035.6  .748279
  18928.7  .732419
  23829.8  .712603
  30000.0  .689106
  37767.8  .662442
  47546.8  .632941
  59857.9  .601230
  75356.6  .567935
  94868.3  .533628
  119432.  .498908
  150356.  .464358
  189287.  .430386
  238298.  .397375
  300000.  .365660
  377678.  .335435
  475468.  .306858
  598579.  .280028
  753566.  .255000

Pair table with LPM
    1.00000     .99029     .98043     .97045     .96033     .95008     .93969
     .92915     .91846     .90765     .89666     .88554     .87424     .86282
     .85122     .83947     .82755     .81548     .80325     .79086     .77830
     .76560     .75273     .73970     .72653     .71321     .69973     .68613
     .67238     .65851     .64452     .63041     .61620     .60189     .58750
     .57303     .55851     .54392     .52930     .51466     .50000

    1.00000     .99020     .98025     .97019     .95998     .94964     .93917
     .92855     .91779     .90688     .89582     .88462     .87327     .86176
     .85009     .83828     .82630     .81408     .80183     .78930     .77676
     .76406     .75106     .73809     .72498     .71172     .69809     .68459
     .67096     .65721     .64333     .62934     .61525     .60075     .58653
     .57222     .55787     .54345     .52900     .51451     .50000

    1.00000     .99018     .98023     .97016     .95994     .94959     .93911
     .92847     .91770     .90679     .89571     .88450     .87313     .86160
     .84989     .83800     .82609     .81388     .80167     .78931     .77660
     .76397     .75119     .73824     .72515     .71191     .69828     .68480
     .67118     .65743     .64357     .62958     .61549     .60130     .58702
     .57228     .55790     .54348     .52901     .51451     .50000

    1.00000     .99018     .98025     .97016     .95995     .94961     .93912
     .92850     .91773     .90681     .89573     .88450     .87312     .86155
     .84997     .83825     .82623     .81422     .80206     .78974     .77724
     .76443     .75167     .73874     .72567     .71244     .69905     .68551
     .67154     .65778     .64389     .62987     .61575     .60152     .58720
     .57280     .55833     .54380     .52922     .51462     .50000

    1.00000     .99023     .98031     .97027     .96011     .94979     .93934
     .92876     .91802     .90708     .89613     .88496     .87374     .86227
     .85078     .83913     .82732     .81522     .80312     .79086     .77843
     .76582     .75305     .73989     .72683     .71360     .70021     .68667
     .67298     .65914     .64515     .63105     .61682     .60248     .58769
     .57322     .55867     .54406     .52939     .51471     .50000

    1.00000     .99029     .98045     .97047     .96037     .95013     .93975
     .92922     .91859     .90781     .89689     .88593     .87482     .86344
     .85206     .84051     .82879     .81689     .80480     .79241     .78002
     .76745     .75470     .74176     .72865     .71536     .70190     .68827
     .67421     .66031     .64625     .63206     .61774     .60330     .58876
     .57412     .55939     .54461     .52977     .51489     .50000

    1.00000     .99039     .98067     .97082     .96084     .95072     .94045
     .93009     .91961     .90908     .89841     .88750     .87655     .86544
     .85413     .84254     .83092     .81911     .80714     .79494     .78257
     .77000     .75722     .74407     .73095     .71764     .70415     .69048
     .67662     .66260     .64842     .63408     .61960     .60499     .59026
     .57543     .56050     .54551     .53046     .51506     .50000

    1.00000     .99055     .98098     .97128     .96145     .95150     .94147
     .93133     .92112     .91070     .90022     .88956     .87862     .86765
     .85650     .84515     .83360     .82185     .80990     .79758     .78524
     .77270     .75994     .74697     .73378     .72039     .70680     .69300
     .67901     .66483     .65046     .63594     .62100     .60621     .59129
     .57625     .56112     .54592     .53064     .51533     .50000

    1.00000     .99075     .98138     .97190     .96229     .95261     .94285
     .93293     .92297     .91283     .90244     .89199     .88136     .87051
     .85947     .84821     .83665     .82499     .81312     .80102     .78870
     .77615     .76334     .75032     .73707     .72358     .70987     .69577
     .68165     .66734     .65283     .63813     .62326     .60823     .59304
     .57774     .56233     .54683     .53126     .51564     .50000

    1.00000     .99100     .98190     .97266     .96337     .95400     .94451
     .93494     .92519     .91526     .90519     .89492     .88444     .87366
     .86279     .85168     .84034     .82877     .81696     .80489     .79258
     .78001     .76719     .75399     .74070     .72715     .71337     .69933
     .68506     .67057     .65584     .64092     .62580     .61049     .59503
     .57942     .56369     .54786     .53195     .51599     .50000

    1.00000     .99129     .98249     .97358     .96465     .95560     .94648
     .93714     .92770     .91805     .90820     .89808     .88781     .87733
     .86658     .85561     .84438     .83289     .82114     .80901     .79676
     .78422     .77142     .75832     .74496     .73132     .71741     .70323
     .68878     .67408     .65914     .64396     .62856     .61296     .59704
     .58113     .56507     .54891     .53265     .51634     .50000

    1.00000     .99163     .98318     .97465     .96609     .95744     .94859
     .93961     .93043     .92098     .91140     .90157     .89152     .88120
     .87063     .85978     .84858     .83721     .82557     .81362     .80138
     .78886     .77602     .76289     .74945     .73571     .72166     .70732
     .69268     .67766     .66249     .64708     .63140     .61551     .59941
     .58314     .56671     .55014     .53347     .51675     .50000

    1.00000     .99201     .98392     .97585     .96767     .95934     .95087
     .94221     .93328     .92419     .91485     .90525     .89539     .88526
     .87481     .86413     .85317     .84191     .83035     .81846     .80625
     .79374     .78088     .76771     .75418     .74027     .72611     .71163
     .69683     .68172     .66630     .65059     .63462     .61839     .60193
     .58526     .56843     .55146     .53437     .51719     .50000

    1.00000     .99241     .98476     .97709     .96931     .96139     .95325
     .94488     .93630     .92748     .91839     .90902     .89935     .88944
     .87923     .86872     .85789     .84673     .83526     .82343     .81127
     .79871     .78587     .77265     .75910     .74517     .73089     .71625
     .70125     .68592     .67024     .65425     .63797     .62140     .60455
     .58750     .57026     .55285     .53531     .51766     .50000

    1.00000     .99284     .98563     .97840     .97102     .96345     .95565
     .94762     .93935     .93081     .92194     .91283     .90343     .89373
     .88371     .87334     .86266     .85163     .84020     .82847     .81637
     .80390     .79105     .77782     .76420     .75018     .73577     .72098
     .70580     .69023     .67431     .65804     .64143     .62451     .60727
     .58981     .57212     .55426     .53625     .51815     .50000

    1.00000     .99326     .98652     .97971     .97272     .96551     .95808
     .95037     .94239     .93410     .92556     .91669     .90752     .89802
     .88818     .87798     .86742     .85653     .84527     .83361     .82157
     .80914     .79630     .78304     .76937     .75526     .74075     .72582
     .71046     .69467     .67850     .66194     .64501     .62773     .61013
     .59221     .57408     .55574     .53725     .51865     .50000

    1.00000     .99371     .98742     .98103     .97440     .96757     .96047
     .95306     .94538     .93740     .92912     .92049     .91155     .90224
     .89259     .88258     .87220     .86144     .85029     .83872     .82676
     .81437     .80154     .78828     .77456     .76039     .74577     .73070
     .71518     .69919     .68277     .66590     .64865     .63102     .61303
     .59472     .57613     .55732     .53832     .51917     .50000

    1.00000     .99415     .98829     .98231     .97607     .96957     .96276
     .95570     .94831     .94061     .93258     .92419     .91544     .90636
     .89692     .88709     .87687     .86623     .85520     .84373     .83184
     .81950     .80668     .79342     .77969     .76546     .75075     .73553
     .71984     .70366     .68700     .66988     .65230     .63430     .61589
     .59716     .57811     .55882     .53933     .51970     .50000

    1.00000     .99459     .98916     .98353     .97765     .97149     .96502
     .95824     .95113     .94370     .93589     .92776     .91926     .91038
     .90112     .89146     .88139     .87090     .85999     .84863     .83680
     .82452     .81176     .79847     .78472     .77044     .75565     .74033
     .72448     .70811     .69120     .67380     .65593     .63758     .61882
     .59966     .58016     .56038     .54038     .52023     .50000

    1.00000     .99502     .98997     .98472     .97918     .97332     .96716
     .96067     .95383     .94663     .93909     .93119     .92290     .91422
     .90514     .89565     .88575     .87540     .86462     .85336     .84162
     .82938     .81666     .80341     .78963     .77532     .76046     .74501
     .72902     .71248     .69538     .67772     .65955     .64087     .62172
     .60214     .58219     .56189     .54140     .52074     .50000

    1.00000     .99541     .99075     .98583     .98060     .97506     .96918
     .96296     .95637     .94944     .94213     .93444     .92635     .91787
     .90899     .89967     .88990     .87969     .86901     .85787     .84621
     .83405     .82137     .80813     .79435     .78001     .76507     .74955
     .73343     .71672     .69941     .68151     .66301     .64401     .62449
     .60452     .58414     .56342     .54243     .52126     .50000

    1.00000     .99580     .99148     .98689     .98196     .97669     .97109
     .96511     .95878     .95208     .94498     .93751     .92962     .92133
     .91261     .90345     .89384     .88377     .87322     .86217     .85061
     .83851     .82586     .81266     .79888     .78451     .76952     .75392
     .73767     .72078     .70329     .68517     .66644     .64712     .62725
     .60689     .58609     .56491     .54344     .52177     .50000

    1.00000     .99615     .99216     .98785     .98321     .97822     .97286
     .96714     .96104     .95455     .94767     .94038     .93269     .92458
     .91602     .90702     .89756     .88761     .87717     .86622     .85474
     .84274     .83015     .81696     .80318     .78880     .77375     .75807
     .74173     .72473     .70706     .68872     .66973     .65012     .62992
     .60919     .58797     .56635     .54441     .52226     .50000

    1.00000     .99648     .99279     .98876     .98438     .97962     .97451
     .96902     .96313     .95684     .95016     .94308     .93555     .92760
     .91921     .91036     .90102     .89121     .88090     .87005     .85865
     .84670     .83416     .82101     .80724     .79284     .77778     .76204
     .74560     .72847     .71064     .69210     .67288     .65299     .63247
     .61138     .58973     .56770     .54533     .52272     .50000

    1.00000     .99680     .99337     .98960     .98547     .98093     .97604
     .97074     .96507     .95898     .95248     .94556     .93821     .93043
     .92217     .91346     .90427     .89457     .88435     .87360     .86228
     .85040     .83790     .82481     .81106     .79664     .78155     .76574
     .74923     .73198     .71399     .69527     .67579     .65566     .63485
     .61343     .59146     .56903     .54623     .52317     .50000


# ************muon tab*********************** 
#     This table  has been made by using ../../Data/BaseM/Pb 
#     with nuclear interaction formula: 1
#     Tue Apr 20 20:26:49 GMT+0900 1999 by KASAHARA using 
#      version epics.uv5.00  
# 
-------------------------------------------
constant used in muon pair creation sampling
  1.000000000000000E-004  .100000000000000  .200000000000000  3.71961506413632  93432.5061004267  1.000000000000000E-002  101  23  45  93432.5061004267

Pb      
Muon pair cre. total X-sec. table (Prob./X0) upto E=  93432.5061004268 GeV
  3.71961  2.151806E-03
  4.68272  2.803912E-03
  5.89519  3.563535E-03
  7.42161  4.471703E-03
  9.34325  5.507166E-03
  11.7625  6.692952E-03
  14.8081  8.041280E-03
  18.6422  9.555058E-03
  23.4692  1.122814E-02
  29.5460  1.299592E-02
  37.1962  1.481810E-02
  46.8272  1.666651E-02
  58.9519  1.851831E-02
  74.2161  2.035411E-02
  93.4325  2.215712E-02
  117.625  2.391263E-02
  148.081  2.560782E-02
  186.422  2.723166E-02
  234.692  2.877483E-02
  295.460  3.022977E-02
  371.962  3.159066E-02
  468.272  3.285349E-02
  589.519  3.401604E-02
  742.161  3.507784E-02
  934.325  3.604010E-02
  1176.25  3.690552E-02
  1480.81  3.767816E-02
  1864.22  3.836312E-02
  2346.92  3.896631E-02
  2954.60  3.949418E-02
  3719.61  3.995342E-02
  4682.72  4.035080E-02
  5895.19  4.069291E-02
  7421.61  4.098604E-02
  9343.25  4.123611E-02
  11762.5  4.144857E-02
  14808.1  4.162836E-02
  18642.2  4.177992E-02
  23469.2  4.190722E-02
  29546.0  4.201376E-02
  37196.2  4.210259E-02
  46827.2  4.217638E-02
  58951.9  4.223745E-02
  74216.1  4.228780E-02
  93432.5  4.232915E-02

Pb      
dE/dx(v<vmin)/Emu (/(g/cm2))by muon pair cre.
  3.71961  .000000
  4.68272  .000000
  5.89519  .000000
  7.42161  .000000
  9.34325  .000000
  11.7625  .000000
  14.8081  .000000
  18.6422  .000000
  23.4692  2.031416E-10
  29.5460  1.557824E-09
  37.1962  4.448872E-09
  46.8272  8.981862E-09
  58.9519  1.513938E-08
  74.2161  2.283487E-08
  93.4325  3.194175E-08
  117.625  4.231084E-08
  148.081  5.378126E-08
  186.422  6.618720E-08
  234.692  7.936204E-08
  295.460  9.314081E-08
  371.962  1.073616E-07
  468.272  1.218667E-07
  589.519  1.365034E-07
  742.161  1.511250E-07
  934.325  1.655928E-07
  1176.25  1.797775E-07
  1480.81  1.935615E-07
  1864.22  2.068410E-07
  2346.92  2.195279E-07
  2954.60  2.315509E-07
  3719.61  2.428566E-07
  4682.72  2.534087E-07
  5895.19  2.631880E-07
  7421.61  2.721903E-07
  9343.25  2.804249E-07
  11762.5  2.879123E-07
  14808.1  2.946823E-07
  18642.2  3.007713E-07
  23469.2  3.062209E-07
  29546.0  3.110756E-07
  37196.2  3.153817E-07
  46827.2  3.191854E-07
  58951.9  3.225323E-07
  74216.1  3.254664E-07
  93432.5  3.280294E-07

Pb      
dE/dx(v<vmax)/Emu (/(g/cm2))by muon pair cre.
  3.71961  2.119597E-06
  4.68272  2.499440E-06
  5.89519  2.898731E-06
  7.42161  3.313986E-06
  9.34325  3.741539E-06
  11.7625  4.177601E-06
  14.8081  4.618221E-06
  18.6422  5.059853E-06
  23.4692  5.498613E-06
  29.5460  5.930888E-06
  37.1962  6.353186E-06
  46.8272  6.762448E-06
  58.9519  7.155724E-06
  74.2161  7.530495E-06
  93.4325  7.884797E-06
  117.625  8.217005E-06
  148.081  8.526129E-06
  186.422  8.811555E-06
  234.692  9.073230E-06
  295.460  9.311440E-06
  371.962  9.526845E-06
  468.272  9.720407E-06
  589.519  9.893311E-06
  742.161  1.004687E-05
  934.325  1.018253E-05
  1176.25  1.030177E-05
  1480.81  1.040609E-05
  1864.22  1.049696E-05
  2346.92  1.057578E-05
  2954.60  1.064392E-05
  3719.61  1.070259E-05
  4682.72  1.075297E-05
  5895.19  1.079609E-05
  7421.61  1.083291E-05
  9343.25  1.086425E-05
  11762.5  1.089088E-05
  14808.1  1.091346E-05
  18642.2  1.093255E-05
  23469.2  1.094868E-05
  29546.0  1.096227E-05
  37196.2  1.097371E-05
  46827.2  1.098332E-05
  58951.9  1.099139E-05
  74216.1  1.099814E-05
  93432.5  1.100380E-05

constant used in muon Brems sampling
  1.000000000000000E-004  .100000000000000  .200000000000000  5.31373580590903  84217.0370532209  1.000000000000000E-002  101  22  43  84217.0370532209

Pb      
Muon brems total X-sec. table (Prob./X0) upto E=  84217.0370532210 GeV
  5.31374  4.494142E-04
  6.68960  4.583083E-04
  8.42170  4.668023E-04
  10.6023  4.748690E-04
  13.3475  4.824983E-04
  16.8035  4.896938E-04
  21.1544  4.964866E-04
  26.6318  5.028687E-04
  33.5274  5.088377E-04
  42.2085  5.144023E-04
  53.1374  5.195726E-04
  66.8960  5.243601E-04
  84.2170  5.287773E-04
  106.023  5.328445E-04
  133.475  5.365795E-04
  168.035  5.399889E-04
  211.544  5.430890E-04
  266.318  5.458969E-04
  335.274  5.484300E-04
  422.085  5.507063E-04
  531.374  5.527437E-04
  668.960  5.545601E-04
  842.170  5.561730E-04
  1060.23  5.575999E-04
  1334.75  5.588572E-04
  1680.35  5.599608E-04
  2115.44  5.609262E-04
  2663.18  5.617674E-04
  3352.74  5.624979E-04
  4220.85  5.631300E-04
  5313.74  5.636751E-04
  6689.60  5.641436E-04
  8421.70  5.645450E-04
  10602.3  5.648879E-04
  13347.5  5.651800E-04
  16803.5  5.654280E-04
  21154.4  5.656380E-04
  26631.8  5.658154E-04
  33527.4  5.659648E-04
  42208.5  5.660903E-04
  53137.4  5.661956E-04
  66896.0  5.662837E-04
  84217.0  5.663572E-04

Pb      
dE/dx(v<vmin)/Emu (/(g/cm2))by muon brems
  5.31374  1.035225E-09
  6.68960  1.035440E-09
  8.42170  1.035612E-09
  10.6023  1.035748E-09
  13.3475  1.035857E-09
  16.8035  1.035943E-09
  21.1544  1.036011E-09
  26.6318  1.036066E-09
  33.5274  1.036109E-09
  42.2085  1.036143E-09
  53.1374  1.036171E-09
  66.8960  1.036192E-09
  84.2170  1.036210E-09
  106.023  1.036223E-09
  133.475  1.036234E-09
  168.035  1.036243E-09
  211.544  1.036250E-09
  266.318  1.036255E-09
  335.274  1.036260E-09
  422.085  1.036263E-09
  531.374  1.036266E-09
  668.960  1.036268E-09
  842.170  1.036270E-09
  1060.23  1.036271E-09
  1334.75  1.036272E-09
  1680.35  1.036273E-09
  2115.44  1.036274E-09
  2663.18  1.036274E-09
  3352.74  1.036275E-09
  4220.85  1.036275E-09
  5313.74  1.036275E-09
  6689.60  1.036276E-09
  8421.70  1.036276E-09
  10602.3  1.036276E-09
  13347.5  1.036276E-09
  16803.5  1.036276E-09
  21154.4  1.036276E-09
  26631.8  1.036276E-09
  33527.4  1.036276E-09
  42208.5  1.036276E-09
  53137.4  1.036276E-09
  66896.0  1.036276E-09
  84217.0  1.036276E-09

Pb      
dE/dx(v<vmax)/Emu (/(g/cm2))by muon brems
  5.31374  2.645776E-06
  6.68960  2.859292E-06
  8.42170  3.083783E-06
  10.6023  3.305198E-06
  13.3475  3.525280E-06
  16.8035  3.744582E-06
  21.1544  3.966490E-06
  26.6318  4.185614E-06
  33.5274  4.401370E-06
  42.2085  4.613173E-06
  53.1374  4.820444E-06
  66.8960  5.022605E-06
  84.2170  5.219082E-06
  106.023  5.411736E-06
  133.475  5.598044E-06
  168.035  5.777139E-06
  211.544  5.948536E-06
  266.318  6.111798E-06
  335.274  6.266554E-06
  422.085  6.412504E-06
  531.374  6.549434E-06
  668.960  6.677211E-06
  842.170  6.795799E-06
  1060.23  6.905247E-06
  1334.75  7.005697E-06
  1680.35  7.097372E-06
  2115.44  7.180571E-06
  2663.18  7.255658E-06
  3352.74  7.323052E-06
  4220.85  7.383215E-06
  5313.74  7.436640E-06
  6689.60  7.483838E-06
  8421.70  7.525326E-06
  10602.3  7.561621E-06
  13347.5  7.593225E-06
  16803.5  7.620622E-06
  21154.4  7.644273E-06
  26631.8  7.664607E-06
  33527.4  7.682022E-06
  42208.5  7.696882E-06
  53137.4  7.709517E-06
  66896.0  7.720223E-06
  84217.0  7.729262E-06

constant used in muon Nuc. int. sampling
  1.000000000000000E-004  .100000000000000  .200000000000000  16.9294248129371  67397.2541137657  1.000000000000000E-002  101  19  38  84848.1158889686

Pb      
Muon Nuc. Int. total X-sec. table (Prob./X0) upto E=  84848.1158889687 GeV
  16.9294  1.180261E-05
  21.3129  1.350726E-05
  26.8313  1.503429E-05
  33.7786  1.672380E-05
  42.5248  1.850585E-05
  53.5355  2.034653E-05
  67.3973  2.233569E-05
  84.8481  2.420288E-05
  106.817  2.647099E-05
  134.475  2.847755E-05
  169.294  3.065549E-05
  213.129  3.294699E-05
  268.313  3.529131E-05
  337.786  3.781434E-05
  425.248  4.016715E-05
  535.355  4.302075E-05
  673.973  4.554440E-05
  848.481  4.826528E-05
  1068.17  5.112192E-05
  1344.75  5.403264E-05
  1692.94  5.715361E-05
  2131.29  6.005833E-05
  2683.13  6.356161E-05
  3377.86  6.666904E-05
  4252.48  6.999590E-05
  5353.55  7.347903E-05
  6739.73  7.701453E-05
  8484.81  7.833201E-05
  10681.7  7.708501E-05
  13447.5  7.647792E-05
  16929.4  7.636226E-05
  21312.9  7.627983E-05
  26831.3  7.624834E-05
  33778.6  7.628527E-05
  42524.8  7.639034E-05
  53535.5  7.657193E-05
  67397.3  7.681421E-05
  84848.1  7.714192E-05

  1.610439894572950E-002 = power of energy dependence at higher energies
Pb      
dE/dx(v<vmin)/Emu (/(g/cm2))by muon Nuc. int
  16.9294  .000000
  21.3129  .000000
  26.8313  .000000
  33.7786  .000000
  42.5248  .000000
  53.5355  .000000
  67.3973  .000000
  84.8481  .000000
  106.817  .000000
  134.475  .000000
  169.294  .000000
  213.129  .000000
  268.313  .000000
  337.786  .000000
  425.248  .000000
  535.355  .000000
  673.973  .000000
  848.481  .000000
  1068.17  .000000
  1344.75  .000000
  1692.94  .000000
  2131.29  .000000
  2683.13  .000000
  3377.86  .000000
  4252.48  .000000
  5353.55  .000000
  6739.73  .000000
  8484.81  3.482409E-11
  10681.7  9.757241E-11
  13447.5  1.390077E-10
  16929.4  1.661108E-10
  21312.9  1.878749E-10
  26831.3  2.048395E-10
  33778.6  2.181251E-10
  42524.8  2.280386E-10
  53535.5  2.354706E-10
  67397.3  2.408376E-10
  84848.1  2.444797E-10

  8.152991963353404E-002 = power of energy dependence at higher energies
Pb      
dE/dx(v<vmax)/Emu (/(g/cm2))by muon Nuc. int
  16.9294  3.177196E-07
  21.3129  3.225972E-07
  26.8313  3.261540E-07
  33.7786  3.286290E-07
  42.5248  3.302079E-07
  53.5355  3.310550E-07
  67.3973  3.313823E-07
  84.8481  3.315328E-07
  106.817  3.317061E-07
  134.475  3.320323E-07
  169.294  3.326346E-07
  213.129  3.336290E-07
  268.313  3.350908E-07
  337.786  3.369987E-07
  425.248  3.393292E-07
  535.355  3.420475E-07
  673.973  3.451119E-07
  848.481  3.484842E-07
  1068.17  3.521205E-07
  1344.75  3.559805E-07
  1692.94  3.600274E-07
  2131.29  3.642279E-07
  2683.13  3.685530E-07
  3377.86  3.729774E-07
  4252.48  3.774794E-07
  5353.55  3.820405E-07
  6739.73  3.866453E-07
  8484.81  3.912808E-07
  10681.7  3.959363E-07
  13447.5  4.006031E-07
  16929.4  4.052737E-07
  21312.9  4.099426E-07
  26831.3  4.146048E-07
  33778.6  4.192567E-07
  42524.8  4.238952E-07
  53535.5  4.285181E-07
  67397.3  4.331236E-07
  84848.1  4.377103E-07

  4.608809305544072E-002 = power of energy dependence at higher energies
muon nuc. int.  sampling table
   -1.34328   -1.12748    -.96597    -.85565    -.77353    -.70909    -.65662
    -.61270    -.57514    -.54255    -.51391    -.48843    -.46556    -.44486
    -.42599    -.40869    -.39274    -.37795    -.36420    -.35136    -.33932
    -.32801    -.31734    -.30726    -.29771    -.28864    -.28001    -.27178
    -.26393    -.25641    -.24922    -.24231    -.23568    -.22929    -.22315
    -.21722    -.21150    -.20597    -.20063    -.19545    -.19043    -.18557
    -.18084    -.17625    -.17179    -.16745    -.16323    -.15911    -.15509
    -.15117    -.14735    -.14361    -.13995    -.13638    -.13288    -.12945
    -.12610    -.12280    -.11957    -.11640    -.11329    -.11024    -.10724
    -.10430    -.10140    -.09855    -.09574    -.09297    -.09025    -.08756
    -.08491    -.08229    -.07970    -.07714    -.07461    -.07210    -.06962
    -.06715    -.06471    -.06228    -.05987    -.05746    -.05507    -.05268
    -.05030    -.04791    -.04552    -.04312    -.04070    -.03826    -.03580
    -.03332    -.03065    -.02800    -.02538    -.02234    -.01831    -.01544
    -.01318    -.00988    -.00272

   -1.54328   -1.29056   -1.10780    -.98281    -.88982    -.81685    -.75740
    -.70777    -.66545    -.62872    -.59640    -.56763    -.54176    -.51831
    -.49690    -.47722    -.45904    -.44216    -.42642    -.41168    -.39784
    -.38479    -.37246    -.36077    -.34967    -.33909    -.32900    -.31936
    -.31013    -.30131    -.29285    -.28474    -.27694    -.26945    -.26223
    -.25526    -.24854    -.24204    -.23576    -.22967    -.22378    -.21806
    -.21251    -.20711    -.20187    -.19677    -.19180    -.18696    -.18224
    -.17763    -.17314    -.16875    -.16446    -.16026    -.15615    -.15213
    -.14819    -.14432    -.14054    -.13682    -.13317    -.12958    -.12606
    -.12259    -.11918    -.11583    -.11252    -.10926    -.10605    -.10287
    -.09974    -.09665    -.09359    -.09057    -.08758    -.08462    -.08168
    -.07877    -.07587    -.07300    -.07014    -.06730    -.06447    -.06164
    -.05882    -.05599    -.05316    -.05032    -.04746    -.04458    -.04166
    -.03870    -.03570    -.03260    -.02930    -.02603    -.02219    -.01690
    -.01403    -.01113    -.00171

   -1.74328   -1.45373   -1.24945   -1.10951   -1.00535    -.92365    -.85734
    -.80198    -.75470    -.71361    -.67739    -.64507    -.61594    -.58946
    -.56521    -.54285    -.52213    -.50286    -.48493    -.46818    -.45249
    -.43773    -.42381    -.41064    -.39816    -.38631    -.37502    -.36424
    -.35395    -.34409    -.33464    -.32556    -.31684    -.30843    -.30033
    -.29251    -.28496    -.27765    -.27057    -.26371    -.25706    -.25060
    -.24432    -.23822    -.23228    -.22650    -.22086    -.21536    -.20999
    -.20476    -.19964    -.19463    -.18973    -.18494    -.18024    -.17564
    -.17113    -.16670    -.16236    -.15809    -.15390    -.14978    -.14572
    -.14173    -.13780    -.13393    -.13012    -.12636    -.12265    -.11898
    -.11536    -.11178    -.10825    -.10474    -.10128    -.09784    -.09444
    -.09106    -.08770    -.08437    -.08105    -.07775    -.07445    -.07117
    -.06789    -.06460    -.06131    -.05801    -.05469    -.05134    -.04796
    -.04453    -.04102    -.03744    -.03377    -.02980    -.02580    -.02003
    -.01468    -.01231    -.00108

   -1.94328   -1.61717   -1.39108   -1.23590   -1.12031   -1.02993    -.95648
    -.89500    -.84237    -.79648    -.75586    -.71947    -.68669    -.65706
    -.63008    -.60535    -.58256    -.56145    -.54181    -.52347    -.50626
    -.49008    -.47481    -.46037    -.44667    -.43364    -.42124    -.40939
    -.39806    -.38721    -.37680    -.36679    -.35716    -.34788    -.33893
    -.33028    -.32191    -.31381    -.30597    -.29836    -.29097    -.28379
    -.27680    -.27000    -.26338    -.25693    -.25063    -.24448    -.23848
    -.23261    -.22687    -.22125    -.21575    -.21036    -.20507    -.19989
    -.19480    -.18981    -.18490    -.18008    -.17533    -.17066    -.16607
    -.16154    -.15708    -.15268    -.14834    -.14406    -.13983    -.13565
    -.13152    -.12743    -.12339    -.11938    -.11541    -.11147    -.10757
    -.10369    -.09984    -.09602    -.09221    -.08842    -.08464    -.08088
    -.07711    -.07335    -.06958    -.06579    -.06199    -.05816    -.05429
    -.05036    -.04637    -.04228    -.03807    -.03373    -.02898    -.02419
    -.01578    -.01303    -.00068

   -2.14328   -1.78082   -1.53255   -1.36168   -1.23463   -1.13508   -1.05389
    -.98563    -.92687    -.87561    -.83069    -.79086    -.75517    -.72292
    -.69356    -.66665    -.64185    -.61887    -.59749    -.57750    -.55876
    -.54112    -.52447    -.50871    -.49376    -.47953    -.46597    -.45301
    -.44061    -.42872    -.41731    -.40633    -.39575    -.38555    -.37570
    -.36617    -.35695    -.34801    -.33934    -.33092    -.32274    -.31478
    -.30702    -.29947    -.29212    -.28495    -.27795    -.27112    -.26445
    -.25793    -.25155    -.24530    -.23919    -.23320    -.22733    -.22156
    -.21591    -.21036    -.20490    -.19954    -.19426    -.18907    -.18396
    -.17893    -.17397    -.16908    -.16426    -.15950    -.15480    -.15015
    -.14556    -.14102    -.13653    -.13208    -.12768    -.12331    -.11898
    -.11468    -.11041    -.10616    -.10193    -.09773    -.09353    -.08935
    -.08517    -.08099    -.07680    -.07260    -.06838    -.06412    -.05983
    -.05547    -.05104    -.04652    -.04186    -.03702    -.03189    -.02641
    -.01773    -.01331    -.00043

   -2.34328   -1.94448   -1.67366   -1.48678   -1.34773   -1.23824   -1.14835
   -1.07251   -1.00808    -.95246    -.90372    -.86051    -.82179    -.78679
    -.75492    -.72570    -.69876    -.67378    -.65052    -.62877    -.60836
    -.58914    -.57097    -.55376    -.53741    -.52184    -.50698    -.49279
    -.47921    -.46621    -.45374    -.44175    -.43022    -.41910    -.40838
    -.39802    -.38800    -.37829    -.36889    -.35977    -.35090    -.34229
    -.33391    -.32576    -.31781    -.31005    -.30249    -.29510    -.28788
    -.28082    -.27392    -.26715    -.26053    -.25403    -.24766    -.24141
    -.23528    -.22925    -.22332    -.21749    -.21176    -.20612    -.20056
    -.19508    -.18968    -.18436    -.17910    -.17391    -.16879    -.16372
    -.15871    -.15376    -.14886    -.14400    -.13919    -.13441    -.12968
    -.12498    -.12031    -.11566    -.11104    -.10644    -.10185    -.09727
    -.09270    -.08813    -.08355    -.07895    -.07433    -.06968    -.06498
    -.06022    -.05538    -.05043    -.04535    -.04007    -.03456    -.02850
    -.02064    -.01337    -.00027

   -2.54328   -2.10802   -1.81410   -1.61082   -1.45888   -1.33826   -1.23919
   -1.15699   -1.08726   -1.02704    -.97426    -.92743    -.88544    -.84745
    -.81283    -.78105    -.75171    -.72449    -.69910    -.67540    -.65320
    -.63234    -.61268    -.59409    -.57648    -.55975    -.54381    -.52861
    -.51408    -.50016    -.48681    -.47398    -.46164    -.44975    -.43827
    -.42718    -.41646    -.40608    -.39601    -.38625    -.37677    -.36755
    -.35858    -.34984    -.34133    -.33303    -.32493    -.31701    -.30928
    -.30171    -.29431    -.28706    -.27996    -.27299    -.26616    -.25945
    -.25287    -.24640    -.24003    -.23378    -.22762    -.22156    -.21558
    -.20970    -.20389    -.19817    -.19251    -.18693    -.18142    -.17597
    -.17058    -.16525    -.15997    -.15474    -.14955    -.14441    -.13931
    -.13425    -.12922    -.12421    -.11923    -.11427    -.10933    -.10440
    -.09947    -.09455    -.08961    -.08466    -.07968    -.07467    -.06961
    -.06448    -.05927    -.05395    -.04849    -.04283    -.03688    -.03044
    -.02358    -.01340    -.00017

   -2.74328   -2.27130   -1.95360   -1.73332   -1.56725   -1.43485   -1.32788
   -1.23911   -1.16374   -1.09857   -1.04138    -.99057    -.94493    -.90357
    -.86592    -.83151    -.79988    -.77064    -.74349    -.71818    -.69449
    -.67224    -.65128    -.63148    -.61272    -.59490    -.57795    -.56178
    -.54632    -.53153    -.51734    -.50372    -.49061    -.47798    -.46580
    -.45404    -.44266    -.43165    -.42098    -.41063    -.40058    -.39081
    -.38131    -.37206    -.36304    -.35425    -.34568    -.33730    -.32911
    -.32111    -.31328    -.30561    -.29809    -.29072    -.28349    -.27640
    -.26943    -.26257    -.25584    -.24921    -.24268    -.23626    -.22992
    -.22368    -.21752    -.21144    -.20544    -.19951    -.19365    -.18786
    -.18213    -.17645    -.17083    -.16526    -.15974    -.15426    -.14882
    -.14341    -.13804    -.13270    -.12738    -.12208    -.11680    -.11152
    -.10625    -.10097    -.09569    -.09038    -.08505    -.07968    -.07426
    -.06877    -.06319    -.05749    -.05164    -.04558    -.03922    -.03243
    -.02495    -.01351    -.00011

   -2.94328   -2.43419   -2.09216   -1.85382   -1.67217   -1.52938   -1.41414
   -1.31835   -1.23687   -1.16627   -1.10416   -1.04908    -.99993    -.95567
    -.91553    -.87888    -.84521    -.81412    -.78528    -.75842    -.73329
    -.70972    -.68753    -.66658    -.64675    -.62794    -.61005    -.59300
    -.57672    -.56114    -.54622    -.53189    -.51813    -.50487    -.49209
    -.47976    -.46783    -.45629    -.44510    -.43425    -.42371    -.41347
    -.40350    -.39380    -.38434    -.37512    -.36611    -.35732    -.34872
    -.34030    -.33207    -.32400    -.31609    -.30833    -.30071    -.29324
    -.28589    -.27866    -.27156    -.26456    -.25768    -.25089    -.24420
    -.23760    -.23109    -.22466    -.21831    -.21204    -.20583    -.19970
    -.19362    -.18761    -.18165    -.17574    -.16987    -.16406    -.15828
    -.15254    -.14683    -.14114    -.13549    -.12985    -.12422    -.11860
    -.11299    -.10737    -.10174    -.09608    -.09040    -.08468    -.07890
    -.07304    -.06709    -.06102    -.05478    -.04832    -.04156    -.03436
    -.02633    -.01379    -.00007

   -3.14328   -2.59661   -2.22959   -1.97178   -1.77495   -1.62160   -1.49755
   -1.39415   -1.30593   -1.22968   -1.16321   -1.10458   -1.05232   -1.00534
    -.96278    -.92397    -.88838    -.85555    -.82514    -.79685    -.77044
    -.74569    -.72242    -.70049    -.67975    -.66008    -.64138    -.62357
    -.60656    -.59029    -.57470    -.55973    -.54534    -.53148    -.51812
    -.50521    -.49274    -.48066    -.46895    -.45760    -.44657    -.43586
    -.42543    -.41527    -.40537    -.39571    -.38628    -.37706    -.36805
    -.35923    -.35060    -.34214    -.33384    -.32570    -.31771    -.30986
    -.30215    -.29456    -.28709    -.27974    -.27250    -.26537    -.25833
    -.25138    -.24453    -.23776    -.23107    -.22446    -.21792    -.21144
    -.20503    -.19868    -.19239    -.18615    -.17995    -.17380    -.16769
    -.16162    -.15557    -.14956    -.14356    -.13759    -.13162    -.12567
    -.11971    -.11375    -.10777    -.10177    -.09574    -.08966    -.08352
    -.07731    -.07099    -.06454    -.05791    -.05106    -.04389    -.03624
    -.02772    -.01430    -.00004

   -3.34328   -2.75847   -2.36567   -2.08670   -1.87572   -1.71119   -1.57765
   -1.46599   -1.37155   -1.29054   -1.22005   -1.15797   -1.10275   -1.05320
   -1.00840    -.96764    -.93032    -.89599    -.86422    -.83470    -.80713
    -.78130    -.75702    -.73412    -.71247    -.69193    -.67241    -.65382
    -.63607    -.61909    -.60282    -.58720    -.57218    -.55772    -.54378
    -.53031    -.51730    -.50470    -.49248    -.48064    -.46913    -.45794
    -.44706    -.43645    -.42612    -.41603    -.40618    -.39656    -.38714
    -.37793    -.36891    -.36006    -.35139    -.34288    -.33452    -.32631
    -.31824    -.31030    -.30248    -.29478    -.28719    -.27971    -.27234
    -.26506    -.25787    -.25076    -.24374    -.23680    -.22992    -.22312
    -.21638    -.20970    -.20308    -.19651    -.18999    -.18351    -.17707
    -.17067    -.16429    -.15795    -.15162    -.14531    -.13902    -.13272
    -.12643    -.12013    -.11381    -.10746    -.10108    -.09465    -.08815
    -.08157    -.07488    -.06805    -.06104    -.05379    -.04621    -.03812
    -.02914    -.01509    -.00003

   -3.54328   -2.91972   -2.50021   -2.19964   -1.97427   -1.79783   -1.65409
   -1.53521   -1.43518   -1.34955   -1.27522   -1.20994   -1.15203   -1.10021
   -1.05347   -1.01095    -.97204    -.93621    -.90307    -.87226    -.84351
    -.81658    -.79127    -.76740    -.74483    -.72343    -.70310    -.68373
    -.66524    -.64756    -.63061    -.61435    -.59872    -.58366    -.56914
    -.55513    -.54157    -.52846    -.51574    -.50341    -.49143    -.47978
    -.46844    -.45740    -.44664    -.43613    -.42587    -.41584    -.40604
    -.39644    -.38703    -.37781    -.36877    -.35989    -.35118    -.34261
    -.33419    -.32590    -.31773    -.30969    -.30177    -.29396    -.28624
    -.27863    -.27111    -.26368    -.25633    -.24906    -.24187    -.23474
    -.22768    -.22068    -.21373    -.20684    -.19999    -.19319    -.18643
    -.17970    -.17300    -.16633    -.15968    -.15304    -.14641    -.13978
    -.13315    -.12651    -.11985    -.11316    -.10643    -.09964    -.09279
    -.08584    -.07879    -.07158    -.06418    -.05653    -.04853    -.04001
    -.03058    -.01617    -.00002

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