# ************************************************ 
#     This table  has been made by using ../../Data/BaseM/Ta 
#     with Bremsstrahlung formula: # 1
#     and  Pair creation  formula: # 1.
#     Mon Jun 28 20:11:20 GMT+0900 1999 by KASAHARA Katsuaki using
#     version epics.uv5.10  
# 
#name   Format    Tantalum
Ta 	1
#
#  Elem	 rho(g/cm^3)	Gas/Solid(1/0)  refl.index Birks c

1         16.6            0              0         0 0 0
# 	Z	A  	N
	73	180.9479 1


 Excitation (Ionization) potential = 738.50 eV
 radation length=  .410694310590369 cm  6.81752555580013 g/cm^2
 <Aeff>=  180.947900000000 <Zeff=>  73.0000000000000 <Z2/A>=   29.4504661286481
 plasma energy=  7.457141705748500E-008 GeV no density=  5.524654843742314E+022 /cm^3
 <Z2eff=>  5329.00000000000 <Z/A>=  .403431042858193
Migdal s1=  5.215705490880150E-004
 Conversion factors:
 g/cm^2 to cm=  6.024096385542170E-002
 mb to /(g/cm2)=  3.328105327555610E-006 mb to /cm=  5.524654843742320E-005 mb to /X0=  2.268944312300493E-005
 If a comound is specified as an Atom, use the
 following instead:   3.328105327555610E-006  5.524654843742320E-005  2.268944312300493E-005
 pi x Re**2 * N* Z /A *X0g  = 0.15 Z/A*X0g=  .413200022925598
 media.A, Z, Z^2=  180.947900000000  73.0000000000000  5329.00000000000

 **** Sternheimers consts
 a, b, c =  6.196701112629340E-002  13.7503869181251 -5.58684479573883
 x0, x1 =  .321311431383018  3.00000000000000
 sa, xa =  .213671107651401  1.21294938352525
 minimum dEdx_restricted=  9.517891082979990E-004 GeV/(g/cm^2)  with Tcut=  1.000000000000000E-004 GeV

 **** photoelectric consts
b0, b1, b2=  .258268046206644  1.22439701384147  .454010363318542
fa, a, p=  1.14607421535362  4.390584987806363E-004  .133032124943449
l, ek=  5.71875000000000  7.247440000000000E-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

Ta      
Seltzer Brems total X-sec. table upto E=  .100000000000000 GeV
  7.110000E-04  5.88132
  9.104920E-04  5.37887
  1.165957E-03  5.34518
  1.493101E-03  5.51972
  1.912034E-03  5.79688
  2.448512E-03  6.12631
  3.135514E-03  6.48032
  4.015274E-03  6.84438
  5.141878E-03  7.21240
  6.584583E-03  7.57845
  8.432082E-03  7.93836
  1.079795E-02  8.29826
  1.382763E-02  8.67183
  1.770738E-02  9.05217
  2.267571E-02  9.40581
  2.903805E-02  9.75270
  3.718552E-02  10.1073
  4.761902E-02  10.4717
  6.097994E-02  10.8311
  7.808965E-02  11.1903
  .100000  11.5674

Selzter Brems sampling table; log(v/vmin)/(1-u)
    2.81653    2.75506    2.70315    2.65878    2.62058    2.58741    2.55840
    2.53285    2.51021    2.49002    2.47195    2.45567    2.44093    2.42758
    2.41548    2.40449    2.39439    2.38515    2.37691    2.36911

    3.34626    3.25288    3.17931    3.11975    3.07051    3.02918    2.99400
    2.96377    2.93744    2.91447    2.89423    2.87631    2.86038    2.84612
    2.83340    2.82191    2.81158    2.80220    2.79376    2.78604

    3.71137    3.60268    3.52066    3.45607    3.40375    3.36055    3.32424
    3.29343    3.26691    3.24390    3.22378    3.20613    3.19058    3.17684
    3.16465    3.15375    3.14405    3.13543    3.12764    3.12055

    4.03155    3.91615    3.83072    3.76443    3.71144    3.66802    3.63203
    3.60154    3.57547    3.55304    3.53368    3.51682    3.50213    3.48925
    3.47791    3.46792    3.45913    3.45124    3.44420    3.43807

    4.33316    4.21434    4.12741    4.06060    4.00769    3.96484    3.92931
    3.89940    3.87407    3.85252    3.83406    3.81818    3.80444    3.79255
    3.78217    3.77311    3.76517    3.75821    3.75199    3.74658

    4.62847    4.50815    4.42106    4.35488    4.30296    4.26120    4.22674
    4.19808    4.17405    4.15383    4.13665    4.12205    4.10953    4.09882
    4.08954    4.08155    4.07454    4.06844    4.06328    4.05860

    4.91672    4.79652    4.71046    4.64565    4.59521    4.55463    4.52141
    4.49403    4.47129    4.45234    4.43641    4.42299    4.41159    4.40192
    4.39367    4.38658    4.38047    4.37533    4.37082    4.36677

    5.20397    5.08534    5.00100    4.93775    4.88861    4.84902    4.81678
    4.79042    4.76875    4.75081    4.73589    4.72343    4.71298    4.70414
    4.69671    4.69040    4.68501    4.68052    4.67658    4.67316

    5.48919    5.37202    5.28905    5.22703    5.17894    5.14023    5.10893
    5.08357    5.06291    5.04596    5.03203    5.02049    5.01096    5.00295
    4.99631    4.99065    4.98600    4.98193    4.97848    4.97571

    5.77252    5.65728    5.57599    5.51544    5.46842    5.43068    5.40039
    5.37603    5.35638    5.34042    5.32742    5.31679    5.30802    5.30084
    5.29486    5.28990    5.28573    5.28232    5.27927    5.27693

    6.05514    5.94232    5.86300    5.80416    5.75830    5.72158    5.69235
    5.66902    5.65035    5.63538    5.62328    5.61352    5.60554    5.59907
    5.59374    5.58936    5.58579    5.58279    5.58015    5.57821

    6.33577    6.22527    6.14781    6.09056    6.04569    6.00995    5.98169
    5.95938    5.94171    5.92764    5.91640    5.90742    5.90021    5.89440
    5.88968    5.88580    5.88271    5.88006    5.87809    5.87623

    6.61221    6.50296    6.42654    6.37020    6.32587    6.29081    6.26336
    6.24189    6.22505    6.21180    6.20136    6.19309    6.18652    6.18127
    6.17708    6.17366    6.17087    6.16868    6.16689    6.16538

    6.88450    6.77571    6.69979    6.64388    6.59985    6.56540    6.53869
    6.51803    6.50202    6.48956    6.47983    6.47220    6.46620    6.46148
    6.45776    6.45478    6.45230    6.45046    6.44897    6.44762

    7.15884    7.05210    6.97781    6.92311    6.88002    6.84661    6.82096
    6.80135    6.78629    6.77471    6.76578    6.75883    6.75345    6.74924
    6.74595    6.74334    6.74135    6.73966    6.73832    6.73732

    7.43142    7.32707    7.25478    7.20154    7.15966    7.12743    7.10299
    7.08445    7.07040    7.05973    7.05157    7.04531    7.04054    7.03681
    7.03395    7.03169    7.02989    7.02858    7.02737    7.02660

    7.70004    7.59712    7.52618    7.47390    7.43293    7.40178    7.37838
    7.36086    7.34771    7.33783    7.33037    7.32473    7.32045    7.31715
    7.31466    7.31275    7.31126    7.31006    7.30909    7.30842

    7.96431    7.86182    7.79144    7.73944    7.69904    7.66870    7.64617
    7.62948    7.61713    7.60796    7.60110    7.59597    7.59213    7.58922
    7.58701    7.58537    7.58399    7.58301    7.58232    7.58166

    8.22671    8.12485    8.05522    8.00370    7.96409    7.93470    7.91315
    7.89738    7.88584    7.87735    7.87111    7.86649    7.86304    7.86050
    7.85858    7.85713    7.85598    7.85521    7.85458    7.85401

    8.48683    8.38535    8.31654    8.26566    8.22709    8.19886    8.17842
    8.16366    8.15297    8.14521    8.13958    8.13545    8.13241    8.13014
    8.12847    8.12727    8.12634    8.12566    8.12514    8.12465

    8.75596    8.66260    8.60285    8.56331    8.53652    8.51803    8.50509
    8.49593    8.48936    8.48455    8.48094    8.47816    8.47589    8.47387
    8.47183    8.46951    8.46616    8.46016    8.44287    8.39037


Seltzer Brems sampling tbl in B; log(v/vmin)
    5.29382    5.34535    5.28884    5.29213    5.29128    5.29134    5.28364
    5.28533    5.27485    5.25975    5.24126    5.21530    5.18343    5.14390
    5.09380    5.03351    4.96385    4.88619    4.80083    4.70824    4.60857

    9.29495    9.20507    9.29840    9.29145    9.28637    9.27344    9.24702
    9.21223    9.16798    9.09877    9.00526    8.88343    8.73427    8.55590
    8.34972    8.11915    7.86808    7.60042    7.32277    7.04062    6.75964

   13.85446   13.80503   13.86451   13.85461   13.83652   13.80107   13.73369
   13.63404   13.49032   13.28416   13.01129   12.68197   12.29404   11.85934
   11.38793   10.89251   10.38466    9.87508    9.37353    8.88614    8.41764

   18.50687   18.40740   18.49140   18.47839   18.44087   18.35922   18.20218
   17.97052   17.63158   17.19073   16.64273   16.00726   15.30486   14.55816
   13.79116   13.02420   12.27213   11.54620   10.85416   10.20032    9.58723

   23.20490   23.19842   23.17695   23.14195   23.05584   22.87385   22.55853
   22.08683   21.44904   20.64524   19.71777   18.70797   17.65593   16.60101
   15.56530   14.56821   13.62084   12.73190   11.90336   11.13495   10.42539

   27.61257   27.60893   27.62391   27.56078   27.39966   27.07927   26.52175
   25.69530   24.60705   23.33064   21.96799   20.58577   19.23422   17.93819
   16.71337   15.56593   14.49873   13.51284   12.60513   11.77229   11.00939

   32.07542   32.20670   32.18720   32.06211   31.82854   31.30120   30.34188
   28.94871   27.26443   25.44955   23.64463   21.92321   20.32087   18.84280
   17.48555   16.24082   15.10226   14.06216   13.11196   12.24343   11.45020

   36.16695   36.42191   36.37978   36.20207   35.91684   35.06270   33.50264
   31.42185   29.10907   26.80194   24.63599   22.66115   20.89264   19.30985
   17.88713   16.60384   15.44417   14.39199   13.43374   12.55738   11.75587

   40.12376   40.44415   40.37946   40.15872   39.78074   38.41749   36.10424
   33.27059   30.35344   27.60840   25.15793   23.01017   21.14336   19.51321
   18.07295   16.78739   15.63341   14.58888   13.63911   12.77078   11.97647

   43.92684   44.27345   44.15053   43.87557   43.31620   41.24286   38.04841
   34.47244   31.02715   27.94535   25.30167   23.05227   21.14625   19.51271
   18.08980   16.83085   15.70510   14.68770   13.76226   12.91515   12.13850

   47.56528   47.90998   47.72881   47.56703   46.28938   43.26230   39.25856
   35.08974   31.25270   27.93973   25.16868   22.87112   20.96192   19.35628
   17.97625   16.76416   15.68456   14.70778   13.81840   13.00153   12.25070

   51.05288   51.54446   51.10258   50.77614   48.79448   44.78157   39.95850
   35.24360   31.08927   27.62886   24.80928   22.51717   20.64749   19.09841
   17.77987   16.63046   15.60896   14.68299   13.83775   13.05825   12.33837

   54.56898   54.98663   54.41505   53.60409   50.97645   46.02297   40.37029
   35.09577   30.65658   27.08786   24.28318   22.05418   20.26442   18.79490
   17.55541   16.47670   15.52006   14.65117   13.85534   13.11732   12.43199

   57.91034   58.23668   57.47576   55.96839   52.58389   46.66906   40.28386
   34.60584   29.98631   26.39828   23.66185   21.53811   19.85356   18.48011
   17.32850   16.32670   15.43762   14.62824   13.88391   13.18894   12.53816

   61.00222   61.10411   60.35640   58.19225   53.36924   46.32815   39.43434
   33.65187   29.11711   25.64574   23.01933   20.99687   19.40722   18.12372
   17.05870   16.13489   15.31605   14.56752   13.87457   13.22228   12.60719

   63.95533   63.97039   63.14059   59.84641   53.39137   45.55845   38.37772
   32.59633   28.16995   24.83674   22.34473   20.43883   18.95512   17.76574
   16.78685   15.94300   15.19638   14.50989   13.86845   13.25845   12.67743

   66.84481   66.83574   65.70926   61.02296   53.04288   44.51950   37.15299
   31.41900   27.15139   24.00994   21.68118   19.91097   18.54043   17.44398
   16.54943   15.78191   15.10631   14.48113   13.89018   13.32063   12.77206

   69.70637   69.70031   68.01481   61.86597   52.44521   43.22873   35.74967
   30.17639   26.14334   23.20882   21.05469   19.42405   18.16455   17.16499
   16.35548   15.66442   15.05744   14.49143   13.94793   13.41615   12.89728

   72.47065   72.37355   70.11700   62.24337   51.34265   41.66288   34.30915
   28.96549   25.18434   22.45362   20.45576   18.95242   17.80562   16.90373
   16.18296   15.57064   15.03027   14.51982   14.02127   13.52458   13.03262

   75.18684   75.23697   71.90854   61.93581   49.86521   40.05374   32.94315
   27.82589   24.26720   21.72838   19.88911   18.51675   17.48450   16.67995
   16.04520   15.50646   15.02936   14.57126   14.11444   13.65049   13.18311

   77.96979 1519.86749  267.41017  116.00839   68.67902   47.66419   36.38518
   29.60154   25.19882   22.19172   20.08206   18.56675   17.46140   16.63672
   16.00211   15.48301   15.02491   14.58754   14.14924   13.70173   13.24851


 constant for Brems sampling table at low energies
  35.9422067990508  1.000000000000000E-004  1.000000000000000E-002 -2.00000000000000  35.9422067990508  6.837349340140100E-003  .100000000000000  1.00000000000000  35  4.736842105263160E-002  .104576609959972  .104576609959972  .000000000000000  .562341325190349  2.811706625951750E-002  35  20  21

Ta      
Brems total X-sec. table upto E=  35.9422067990509 GeV
  1.000000E-02  4.94726
  1.272262E-02  5.31758
  1.618651E-02  5.69342
  2.059348E-02  6.05549
  2.620031E-02  6.41301
  3.333366E-02  6.76500
  4.240916E-02  7.12392
  5.395557E-02  7.47879
  6.864563E-02  7.83235
  8.733524E-02  8.18608
  .111113  8.57801
  .141365  8.92745
  .179854  9.27380
  .228821  9.61747
  .291120  9.95958
  .370381  10.3029
  .471222  10.6374
  .599518  10.9489
  .762744  11.2235
  .970411  11.4489
  1.23462  11.6171
  1.57076  11.7243
  1.99841  11.7711
  2.54251  11.7606
  3.23473  11.6981
  4.11543  11.5898
  5.23591  11.4421
  6.66145  11.2611
  8.47511  11.0521
  10.7826  10.8205
  13.7182  10.5705
  17.4532  10.3055
  22.2050  10.0285
  28.2506  9.74211
  35.9422  9.40170

Brems sampling table at low E for Small Eg
    4.10910    4.01081    3.93637    3.87776    3.83027    3.79103    3.75801
    3.72962    3.70433    3.68200    3.66231    3.64493    3.62966    3.61618
    3.60427    3.59377    3.58440    3.57617    3.56890    3.56225

    4.36852    4.27060    4.19661    4.13857    4.09174    4.05317    4.02082
    3.99254    3.96758    3.94568    3.92655    3.90988    3.89529    3.88257
    3.87146    3.86170    3.85311    3.84559    3.83889    3.83301

    4.62502    4.52640    4.45190    4.39365    4.34678    4.30831    4.27593
    4.24744    4.22257    4.20102    4.18239    4.16630    4.15240    4.14038
    4.12992    4.12087    4.11301    4.10612    4.10003    4.09481

    4.88280    4.78480    4.71101    4.65349    4.60742    4.56970    4.53762
    4.50951    4.48522    4.46442    4.44660    4.43138    4.41834    4.40719
    4.39758    4.38930    4.38219    4.37611    4.37061    4.36605

    5.14072    5.04371    4.97096    4.91451    4.86948    4.83273    4.80102
    4.77354    4.75006    4.73015    4.71328    4.69900    4.68688    4.67664
    4.66787    4.66040    4.65405    4.64865    4.64382    4.63987

    5.39623    5.29994    5.22821    5.17290    5.12900    5.09311    5.06195
    5.03527    5.01275    4.99383    4.97799    4.96468    4.95353    4.94419
    4.93632    4.92966    4.92401    4.91923    4.91522    4.91164

    5.64913    5.55259    5.48084    5.42574    5.38222    5.34636    5.31539
    5.28926    5.26745    5.24934    5.23434    5.22192    5.21161    5.20303
    5.19583    5.18983    5.18482    5.18054    5.17694    5.17399

    5.90088    5.80424    5.73275    5.67808    5.63502    5.59916    5.56853
    5.54299    5.52196    5.50470    5.49058    5.47896    5.46946    5.46158
    5.45513    5.44973    5.44523    5.44153    5.43832    5.43582

    6.15099    6.05401    5.98261    5.92835    5.88579    5.85009    5.82008
    5.79544    5.77539    5.75914    5.74595    5.73525    5.72657    5.71948
    5.71370    5.70890    5.70503    5.70182    5.69925    5.69688

    6.39876    6.30105    6.22952    6.17551    6.13325    6.09778    6.06851
    6.04481    6.02577    6.01055    5.99829    5.98849    5.98059    5.97425
    5.96907    5.96488    5.96147    5.95874    5.95635    5.95450

    6.65011    6.55650    6.49014    6.44210    6.40662    6.38003    6.35983
    6.34434    6.33238    6.32309    6.31579    6.31009    6.30555    6.30196
    6.29911    6.29687    6.29502    6.29345    6.29216    6.29132

    6.89621    6.80220    6.73619    6.68886    6.65425    6.62854    6.60922
    6.59454    6.58331    6.57468    6.56799    6.56274    6.55867    6.55552
    6.55300    6.55097    6.54938    6.54814    6.54703    6.54623

    7.14059    7.04620    6.98059    6.93401    6.90027    6.87545    6.85697
    6.84308    6.83256    6.82454    6.81841    6.81366    6.80997    6.80711
    6.80491    6.80318    6.80174    6.80070    6.79969    6.79909

    7.38343    7.28872    7.22356    7.17777    7.14491    7.12098    7.10333
    7.09019    7.08034    7.07291    7.06728    7.06297    7.05971    7.05713
    7.05519    7.05361    7.05244    7.05148    7.05076    7.05017

    7.62481    7.52981    7.46513    7.42010    7.38810    7.36500    7.34810
    7.33563    7.32635    7.31935    7.31407    7.30999    7.30682    7.30431
    7.30215    7.30020    7.29820    7.29537    7.28870    7.26436

    7.86467    7.76930    7.70501    7.66062    7.62928    7.60677    7.59035
    7.57821    7.56906    7.56206    7.55654    7.55200    7.54804    7.54431
    7.54034    7.53554    7.52852    7.51570    7.50621    7.52099

    8.10425    8.00894    7.94543    7.90210    7.87187    7.85045    7.83508
    7.82391    7.81572    7.80962    7.80503    7.80150    7.79868    7.79632
    7.79417    7.79191    7.78950    7.80492    7.85060    7.93323

    8.34525    8.25103    8.18943    8.14832    8.12052    8.10171    8.08912
    8.08100    8.07618    8.07398    8.07397    8.07599    8.08018    8.08706
    8.09769    8.11567    8.16014    8.24174    8.36770    8.54682

    8.58929    8.49786    8.43989    8.40296    8.37981    8.36613    8.35928
    8.35765    8.36034    8.36699    8.37763    8.39286    8.41392    8.44319
    8.48625    8.56211    8.68198    8.85439    9.09099    9.40944

    8.83776    8.75129    8.69931    8.66915    8.65360    8.64845    8.65130
    8.66083    8.67657    8.69875    8.72826    8.76697    8.81811    8.88795
    8.99551    9.15320    9.37162    9.66512   10.05455   10.57261

    9.09156    9.01261    8.96931    8.94899    8.94450    8.95190    8.96909
    8.99526    9.03056    9.07607    9.13406    9.20831    9.30508    9.44137
    9.63452    9.89488   10.23932   10.69188   11.29007   12.09553

    9.35116    9.28239    9.25070    9.24342    9.25371    9.27792    9.31444
    9.36310    9.42491    9.50220    9.59894    9.72159    9.88385   10.10601
   10.40160   10.78757   11.28998   11.94858   12.82867   14.04918

    9.61659    9.56066    9.54341    9.55242    9.58117    9.62646    9.68729
    9.76425    9.85950    9.97691   10.12267   10.30745   10.55293   10.87435
   11.29050   11.82696   12.52366   13.44469   14.70326   16.52036

    9.88756    9.84695    9.84687    9.87523    9.92593    9.99634   10.08614
   10.19694   10.33220   10.49762   10.70205   10.96378   11.30291   11.73732
   12.29243   13.00573   13.93683   15.18665   16.94377   19.61579

   10.16362   10.14062   10.16016   10.21065   10.28647   10.38564   10.50871
   10.65839   10.83960   11.06022   11.33337   11.68193   12.12425   12.68453
   13.39663   14.31376   15.52241   17.17608   19.57995   23.46631

   10.44419   10.44082   10.48218   10.55723   10.66097   10.79217   10.95226
   11.14522   11.37768   11.65982   12.01101   12.45294   13.00758   13.70499
   14.59170   15.73956   17.27042   19.40971   22.63596   28.23209

   10.72867   10.74670   10.81172   10.91345   11.04751   11.21348   11.41385
   11.65389   11.94208   12.29206   12.72719   13.26840   13.94254   14.78859
   15.86618   17.27079   19.16870   21.88011   26.13060   34.10911

   11.01653   11.05742   11.14773   11.27790   11.44434   11.64742   11.89078
   12.18111   12.52888   12.95245   13.47519   14.12039   14.92091   15.92531
   17.20872   18.89455   21.20290   24.57511   30.07434   41.33518

   11.30725   11.37230   11.48921   11.64933   11.84982   12.09200   12.38063
   12.72393   13.13484   13.63560   14.24890   15.00206   15.93471   17.10593
   18.60851   20.59787   23.35787   27.47820   34.46860   50.19840

   11.60035   11.69060   11.83524   12.02651   12.26245   12.54530   12.88103
   13.27949   13.75724   14.33712   15.04332   15.90774   16.97727   18.32256
   20.05605   22.36890   25.61825   30.57131   39.30549   61.04931

   11.89544   12.01178   12.18504   12.40847   12.68096   13.00578   13.39014
   13.84558   14.39260   15.05324   15.85406   16.83235   18.04268   19.56818
   21.54255   24.19631   27.96903   33.83380   44.56757   74.31071

   12.19220   12.33538   12.53803   12.79442   13.10438   13.47221   13.90639
   14.42107   15.03832   15.78054   16.67731   17.77145   19.12573   20.83645
   23.05997   26.06953   30.39539   37.24381   50.22868   90.49040

   12.49037   12.66101   12.89366   13.18367   13.53184   13.94351   14.42848
   15.00428   15.69216   16.51637   17.50993   18.72141   20.22202   22.12193
   24.60144   27.97916   32.88370   40.77993   56.25587  110.19972

   12.78970   12.98834   13.25148   13.57567   13.96261   14.41875   14.95588
   15.59365   16.35221   17.25838   18.34929   19.67914   21.32790   23.42006
   26.16094   29.91711   35.42179   44.42162   62.61225  134.17204

   13.09203   13.31539   13.60525   13.95940   14.37960   14.87693   15.46804
   16.16815   16.99760   17.98441   19.17264   20.62049   22.41715   24.70163
   27.70478   31.84237   37.95646   48.09147   69.15804  162.83342


Brems sampling tbl at low E for large Eg
   30.43638   30.47934   30.27077   30.26170   29.71696   28.24236   26.02932
   23.56792   21.15558   18.99179   17.12452   15.55131   14.23293   13.12938
   12.19863   11.40205   10.70516   10.08549    9.52684    9.01591    8.54524

   33.40633   33.57855   33.22836   33.02695   32.18426   30.14920   27.31850
   24.33810   21.58306   19.20152   17.22194   15.60253   14.27455   13.17935
   12.26800   11.49341   10.81947   10.22167    9.68326    9.18906    8.73305

   36.28585   36.48265   36.13264   35.45305   34.29927   31.71098   28.30338
   24.84669   21.76242   19.19604   17.13779   15.51529   14.21633   13.16308
   12.29325   11.55657   10.91474   10.34595    9.83229    9.35952    8.92160

   39.11296   39.19110   38.86516   37.94514   36.11087   32.63464   28.59699
   24.80357   21.59680   19.01401   16.97545   15.38476   14.12105   13.10692
   12.27492   11.57584   10.96918   10.43228    9.94656    9.49739    9.07913

   41.92745   42.08387   41.58033   40.25303   37.43227   33.11718   28.57857
   24.55771   21.29155   18.72001   16.72546   15.18264   13.96911   13.00316
   12.21619   11.56001   10.99292   10.49194   10.03852    9.61593    9.21992

   44.59637   44.59168   44.14803   42.19836   38.17026   33.12101   28.24986
   24.12114   20.86041   18.34583   16.42658   14.95634   13.80892   12.89973
   12.16233   11.55079   11.02480   10.56194   10.14108    9.74576    9.37111

   47.29458   47.28519   46.62808   43.80466   38.73156   32.97027   27.76794
   23.54849   20.32378   17.91218   16.09772   14.72248   13.65246   12.80645
   12.12015   11.55353   11.06871   10.64390   10.25700    9.88927    9.53617

   49.92513   49.97500   48.93768   45.19234   38.96254   32.44587   27.04679
   22.85546   19.75778   17.47447   15.77045   14.48047   13.47990   12.69648
   12.06580   11.55237   11.11496   10.73067   10.37734   10.03660    9.70440

   52.53087   52.47119   51.14865   46.13576   38.70268   31.67889   26.28299
   22.17940   19.20694   17.04175   15.44338   14.24156   13.31520   12.59814
   12.02584   11.56548   11.17323   10.82898   10.50857   10.19435    9.88177

   55.10684   55.15510   53.16615   46.61639   38.09746   30.80797   25.46792
   21.50568   18.66892   16.63170   15.13576   14.02415   13.17395   12.52461
   12.01220   11.60514   11.25839   10.95187   10.66194   10.37143   10.07595

 1300.06841 1300.06841  221.08774   94.50296   55.40480   38.13639   28.90980
   23.35520   19.75463   17.28424   15.53747   14.27369   13.34617   12.65504
   12.13103   11.72171   11.38528   11.08885   10.80694   10.52446   10.23424

 1111.48547 1111.48547  197.30469   85.99120   51.08265   35.54453   27.20639
   22.18035   18.90994   16.67826   15.10823   13.98305   13.16379   12.56298
   12.11278   11.76494   11.47921   11.22315   10.97230   10.71210   10.43727

  954.09417  954.09417  176.50078   78.35309   47.20242   33.21153   25.68432
   21.12362   18.15842   16.14918   14.74427   13.74715   13.03221   12.51399
   12.13261   11.84176   11.60200   11.38179   11.15793   10.91642   10.65345

  822.96739  822.96739  158.21546   71.55034   43.71945   31.11930   24.31599
   20.18045   17.49745   15.69543   14.44460   13.56882   12.94732   12.50606
   12.18907   11.95007   11.75165   11.56360   11.36239   11.13582   10.88207

  709.92368  709.92368  142.05844   65.49695   40.59110   29.25048   23.07415
   19.33620   16.93059   15.31547   14.20825   13.44228   12.90999   12.53986
   12.27996   12.08878   11.92778   11.76700   11.58498   11.37022   11.12233

  615.35797  615.35797  127.91245   60.11354   37.79613   27.55724   21.97373
   18.60924   16.44444   15.00854   14.03477   13.37068   12.91881   12.61350
   12.40735   12.25843   12.13045   11.99337   11.82657   11.62009   11.37537

  535.84547  535.84547  115.44501   55.29695   35.27811   26.05574   21.00360
   17.96276   16.02955   14.75741   13.90785   13.33603   12.95863   12.71421
   12.55632   12.44564   12.34642   12.22936   12.07439   11.87362   11.63009

  467.00450  467.00450  104.35897   50.94622   32.98127   24.64473   20.09598
   17.38075   15.66447   14.54490   13.80622   13.32381   13.01307   12.82286
   12.70785   12.63121   12.55754   12.45771   12.31224   12.11528   11.87142

  408.07574  408.07574   94.36873   46.96496   30.86173   23.34550   19.28012
   16.84821   15.32834   14.35041   13.71639   13.31100   13.06217   12.92042
   12.84435   12.79754   12.74598   12.66073   12.52356   12.32944   12.08471

  357.34483  357.34483   85.36741   43.30857   28.88674   22.14465   18.49271
   16.34125   15.00715   14.15762   13.61762   13.28342   13.08975   12.99056
   12.94884   12.92905   12.89716   12.82453   12.69449   12.50285   12.25798

  313.09654  313.09654   77.22413   39.93712   27.03548   20.99447   17.74866
   15.84739   14.68153   13.95445   13.49947   13.22876   13.08338   13.02334
   13.01115   13.01421   12.99916   12.93837   12.81505   12.62695   12.38287

  274.56891  274.56891   69.85563   36.81532   25.29681   19.92960   17.04573
   15.36546   14.35682   13.73665   13.35665   13.14167   13.03803   13.01051
   13.02441   13.04727   13.04706   12.99696   12.88098   12.69689   12.45520

  240.99959  240.99959   63.17855   33.92676   23.66480   18.90843   16.34493
   14.89491   14.02670   13.49647   13.18409   13.01868   12.95124   12.95121
   12.98658   13.02609   13.03960   12.99961   12.89113   12.71285   12.47508

  211.62600  211.62600   57.12143   31.25731   22.13798   17.93035   15.68386
   14.42529   13.68502   13.23769   12.98426   12.85975   12.82301   12.84541
   12.89901   12.95329   12.97837   12.94825   12.84840   12.67690   12.44474

  185.87617  185.87617   51.64855   28.79759   20.71413   16.99447   15.06210
   13.96662   13.33165   12.96023   12.75712   12.66834   12.65701   12.69853
   12.76644   12.83248   12.86784   12.84806   12.75692   12.59376   12.36879

  163.36878  163.36878   46.71225   26.53581   19.39175   16.13936   14.44142
   13.50856   12.97259   12.66785   12.50767   12.44786   12.45814   12.51414
   12.59292   12.66889   12.71419   12.70359   12.62225   12.46837   12.25201

  143.72243  143.72243   42.25290   24.46491   18.16861   15.32493   13.85931
   13.06107   12.61371   12.36044   12.23834   12.20346   12.23006   12.29676
   12.38527   12.46933   12.52271   12.52138   12.45018   12.30654   12.09975

  126.36494  126.36494   38.24668   22.57074   17.03948   14.54903   13.31474
   12.62361   12.24866   12.04540   11.95152   11.93678   11.97642   12.05360
   12.14822   12.23902   12.29957   12.30732   12.24598   12.11324   11.91720

  111.29635  111.29635   34.63396   20.84154   15.99989   13.84901   12.76891
   12.19575   11.88323   11.72258   11.65462   11.65464   11.70452   11.78727
   11.88716   11.98262   12.04968   12.06563   12.01469   11.89325   11.70886

   98.13519   98.13519   31.40282   19.27021   15.04236   13.18263   12.27719
   11.78687   11.52292   11.39163   11.34492   11.35864   11.41675   11.50407
   11.60681   11.70534   11.77792   11.80156   11.76107   11.65133   11.47901

   86.49997   86.49997   28.49362   17.84026   14.16243   12.54805   11.78191
   11.37609   11.16153   11.06005   11.02986   11.05387   11.11549   11.20576
   11.31055   11.41137   11.48843   11.51937   11.48881   11.39117   11.23144

   76.39070   76.39070   25.88253   16.54463   13.35112   11.98076   11.31910
   10.98287   10.80445   10.72363   10.70919   10.73846   10.80559   10.89675
   11.00171   11.10432   11.18442   11.22195   11.20135   11.11534   10.96845

   67.61663   67.61663   23.53376   15.36680   12.60396   11.43978   10.86900
   10.58630   10.44543   10.38606   10.38283   10.41925   10.48697   10.57884
   10.68300   10.78575   10.86879   10.91263   10.90081   10.82691   10.69315

   59.79629   59.79629   21.43539   14.29735   11.91275   10.92172   10.44891
   10.20596   10.09597   10.05073   10.05552   10.09431   10.16319   10.25372
   10.35705   10.45925   10.54436   10.59328   10.59035   10.52802   10.40710

    9.32066    9.25064    9.32252    9.32275    9.32512    9.31373    9.35190
    9.36816    9.39410    9.43503    9.49446    9.56865    9.66112    9.76966
    9.88873   10.00820   10.11366   10.18814   10.21477   10.18368   10.09407


 constant for Brems sampling table at high energies
  3.594220679905083E-004  35.9422067990508  1.55560473863906  50  5.000000000000000E-002  .100000000000000  2854990.96787851  5.000000000000000E-002  .200000000000000  1.00000000000000  17  .000000000000000  .668740304976422  16  15  4.458268699842813E-002  50  7.500000000000000E-002  170061.003968248  4.00000000000000

Ta      
Brems total X-sec. table with C.S+LPM upto E=  2854990.96787852 GeV
  35.9422  9.34703
  45.2486  9.03607
  56.9646  8.76122
  71.7141  8.48389
  90.2827  8.19867
  113.659  7.90908
  143.089  7.61914
  180.138  7.32532
  226.780  7.03014
  285.499  6.73629
  359.422  6.44158
  452.486  6.14783
  569.646  5.85694
  717.141  5.56787
  902.827  5.28197
  1136.59  5.00095
  1430.89  4.72412
  1801.38  4.45335
  2267.80  4.18850
  2854.99  3.93101
  3594.22  3.68078
  4524.86  3.43920
  5696.46  3.20621
  7171.41  2.98226
  9028.27  2.76819
  11365.9  2.56390
  14308.9  2.36963
  18013.8  2.18552
  22678.0  2.01189
  28549.9  1.84845
  35942.2  1.69511
  45248.6  1.55170
  56964.6  1.41798
  71714.1  1.29367
  90282.7  1.17841
  113659.  1.07198
  143088.  .973849
  180138.  .883579
  226780.  .800725
  285499.  .724838
  359422.  .655464
  452486.  .592158
  569646.  .534484
  717141.  .482022
  902827.  .434368
  1.136592E+06  .391139
  1.430885E+06  .351971
  1.801378E+06  .316525
  2.267800E+06  .284484
  2.854991E+06  .255548

Brems with LPM sampling tbl for small Eg
     .48765     .42736     .37888     .33919     .30669     .27984     .25733
     .23820     .22175     .20745     .19486     .18367     .17357     .16431
     .15557     .14686     .13618

     .49563     .43521     .38654     .34752     .31570     .28926     .26693
     .24788     .23142     .21702     .20430     .19293     .18262     .17310
     .16407     .15496     .14340

     .50516     .44522     .39711     .35857     .32698     .30063     .27831
     .25916     .24253     .22793     .21497     .20334     .19274     .18292
     .17353     .16397     .15137

     .51506     .45555     .40806     .37000     .33868     .31243     .29010
     .27086     .25408     .23928     .22610     .21420     .20332     .19319
     .18344     .17341     .15969

     .52516     .46608     .41975     .38212     .35102     .32485     .30249
     .28315     .26620     .25121     .23779     .22563     .21446     .20401
     .19389     .18337     .16843

     .53570     .47761     .43163     .39446     .36362     .33756     .31521
     .29578     .27870     .26352     .24988     .23747     .22602     .21525
     .20477     .19376     .17750

     .54635     .48908     .44422     .40746     .37685     .35088     .32851
     .30900     .29177     .27640     .26254     .24988     .23815     .22706
     .21620     .20469     .18700

     .55744     .50155     .45698     .42070     .39034     .36449     .34213
     .32256     .30521     .28967     .27560     .26270     .25070     .23930
     .22807     .21605     .19682

     .56879     .51392     .47043     .43456     .40443     .37867     .35632
     .33668     .31921     .30350     .28922     .27608     .26381     .25209
     .24049     .22795     .20708

     .58108     .52725     .48400     .44863     .41876     .39313     .37081
     .35112     .33355     .31769     .30323     .28987     .27733     .26532
     .25334     .24028     .21766

     .59332     .54047     .49829     .46328     .43365     .40813     .38584
     .36610     .34843     .33242     .31777     .30419     .29140     .27909
     .26674     .25315     .22866

     .60634     .55457     .51263     .47814     .44876     .42339     .40114
     .38138     .36363     .34750     .33268     .31890     .30587     .29327
     .28056     .26644     .23997

     .61938     .56857     .52766     .49350     .46437     .43913     .41692
     .39714     .37931     .36307     .34809     .33411     .32085     .30796
     .29489     .28025     .25218

     .63274     .58332     .54269     .50902     .48018     .45509     .43296
     .41318     .39530     .37895     .36384     .34969     .33620     .32304
     .30963     .29447     .26575

     .64676     .59797     .55833     .52500     .49641     .47147     .44941
     .42964     .41171     .39528     .38003     .36571     .35202     .33860
     .32485     .30918     .27981

     .66072     .61326     .57394     .54109     .51281     .48805     .46607
     .44633     .42838     .41188     .39653     .38206     .36818     .35451
     .34043     .32427     .29428

     .67519     .62844     .59008     .55760     .52957     .50497     .48309
     .46338     .44541     .42885     .41340     .39880     .38474     .37085
     .35645     .33980     .30921

     .68959     .64414     .60613     .57413     .54642     .52203     .50026
     .48060     .46264     .44604     .43052     .41580     .40158     .38747
     .37278     .35566     .32450

     .70437     .65969     .62263     .59102     .56357     .53936     .51771
     .49812     .48017     .46354     .44796     .43313     .41876     .40446
     .38948     .37190     .34020

     .71905     .67566     .63921     .60785     .58075     .55676     .53525
     .51573     .49782     .48119     .46556     .45065     .43616     .42167
     .40643     .38841     .35622

     .73399     .69141     .65570     .62499     .59816     .57438     .55300
     .53357     .51570     .49907     .48341     .46843     .45383     .43917
     .42368     .40524     .37260

     .74876     .70752     .67245     .64219     .61550     .59197     .57076
     .55143     .53362     .51701     .50133     .48630     .47161     .45681
     .44109     .42225     .38923

     .76371     .72351     .68898     .65921     .63304     .60972     .58867
     .56945     .55170     .53513     .51945     .50438     .48961     .47467
     .45873     .43951     .40616

     .77859     .73939     .70577     .67647     .65062     .62752     .60645
     .58737     .56971     .55319     .53752     .52244     .50760     .49256
     .47643     .45685     .42325

     .79318     .75527     .72235     .69337     .66788     .64506     .62437
     .60541     .58784     .57137     .55573     .54063     .52575     .51061
     .49431     .47439     .44060

     .80778     .77100     .73872     .71043     .68528     .66269     .64218
     .62336     .60589     .58949     .57389     .55880     .54389     .52866
     .51220     .49197     .45807

     .82221     .78655     .75518     .72739     .70259     .68026     .65995
     .64110     .62374     .60743     .59188     .57682     .56190     .54661
     .53001     .50951     .47558

     .83626     .80194     .77133     .74404     .71948     .69744     .67734
     .65883     .64160     .62537     .60988     .59485     .57992     .56459
     .54787     .52710     .49323

     .85018     .81707     .78714     .76043     .73639     .71461     .69471
     .67636     .65925     .64312     .62770     .61272     .59780     .58244
     .56562     .54461     .51089

     .86377     .83184     .80289     .77671     .75305     .73154     .71184
     .69364     .67667     .66064     .64531     .63038     .61549     .60011
     .58320     .56199     .52851

     .87697     .84648     .81836     .79273     .76945     .74822     .72858
     .71058     .69375     .67784     .66260     .64773     .63289     .61751
     .60054     .57915     .54600

     .88991     .86069     .83340     .80833     .78533     .76441     .74517
     .72734     .71065     .69486     .67971     .66492     .65012     .63475
     .61774     .59619     .56346

     .90245     .87452     .84797     .82353     .80106     .78043     .76141
     .74375     .72721     .71154     .69649     .68178     .66704     .65169
     .63465     .61298     .58077

     .91456     .88785     .86234     .83848     .81642     .79607     .77727
     .75978     .74339     .72784     .71291     .69828     .68361     .66830
     .65125     .62948     .59787

     .92615     .90092     .87629     .85301     .83135     .81130     .79272
     .77540     .75915     .74374     .72892     .71439     .69979     .68453
     .66748     .64565     .61474

     .93746     .91355     .88980     .86711     .84586     .82610     .80773
     .79059     .77449     .75921     .74450     .73008     .71556     .70036
     .68333     .66146     .63134

     .94831     .92571     .90284     .88075     .85991     .84031     .82221
     .80528     .78936     .77421     .75963     .74531     .73088     .71574
     .69876     .67688     .64762

     .95866     .93736     .91536     .89376     .87337     .85423     .83635
     .81961     .80383     .78882     .77435     .76014     .74580     .73074
     .71381     .69195     .66364

     .96854     .94852     .92733     .90647     .88650     .86766     .85000
     .83343     .81781     .80293     .78858     .77448     .76025     .74527
     .72840     .70659     .67931

     .97797     .95913     .93895     .91870     .89913     .88059     .86315
     .84675     .83128     .81653     .80231     .78832     .77419     .75931
     .74251     .72078     .69460

     .98692     .96938     .95008     .93042     .91126     .89301     .87579
     .85956     .84423     .82961     .81551     .80164     .78761     .77283
     .75612     .73452     .70949

     .99540     .97915     .96071     .94163     .92287     .90491     .88790
     .87184     .85665     .84217     .82819     .81443     .80052     .78584
     .76924     .74778     .72397

    1.00350     .98844     .97083     .95233     .93397     .91629     .89949
     .88360     .86854     .85419     .84032     .82669     .81289     .79833
     .78184     .76057     .73802

    1.01117     .99725     .98046     .96252     .94455     .92714     .91054
     .89482     .87991     .86567     .85193     .83841     .82473     .81029
     .79394     .77286     .75164

    1.01840    1.00560     .98960     .97221     .95462     .93748     .92108
     .90552     .89074     .87663     .86301     .84960     .83604     .82173
     .80552     .78469     .76482

    1.02524    1.01351     .99828     .98144     .96423     .94735     .93116
     .91576     .90098     .88701     .87351     .86023     .84679     .83260
     .81655     .79601     .77751

    1.03164    1.02092    1.00643     .99010     .97325     .95662     .94052
     .92531     .91083     .89698     .88360     .87043     .85712     .84307
     .82718     .80696     .78985

    1.03764    1.02790    1.01411     .99829     .98170     .96537     .94959
     .93453     .92018     .90646     .89319     .88014     .86695     .85304
     .83732     .81745     .80176

    1.04328    1.03446    1.02135    1.00597     .98985     .97378     .95818
     .94327     .92905     .91545     .90230     .88936     .87630     .86253
     .84701     .82753     .81324

    1.04856    1.04061    1.02813    1.01332     .99755     .98172     .96631
     .95154     .93746     .92397     .91093     .89811     .88517     .87155
     .85624     .83720     .82429


Brems with LPM smp tbl; (sqrt(v)-sqrt(vmin)/(1-u)
    9.22018    9.21849    9.22258    9.24530    9.24436    9.28970    9.36094
    9.47220    9.62579    9.81005    9.98708   10.09499   10.07536    9.91310
    9.64010    9.30829

    9.02424    9.03745    9.02636    9.01537    9.05015    9.09115    9.15829
    9.26556    9.41409    9.59224    9.76653    9.87723    9.86696    9.71759
    9.45797    9.13754

    8.82362    8.82624    8.82448    8.83212    8.85555    8.88622    8.95261
    9.05404    9.19765    9.37036    9.54090    9.65404    9.65262    9.51637
    9.27039    8.96184

    8.61775    8.61502    8.61883    8.64814    8.64555    8.67502    8.74091
    8.83936    8.97548    9.14252    9.30941    9.42459    9.43179    9.30880
    9.07691    8.78066

    8.41071    8.40379    8.41129    8.41599    8.43552    8.47010    8.52925
    8.62145    8.75257    8.91314    9.07673    9.19338    9.20905    9.09902
    8.88113    8.59736

    8.19840    8.19257    8.19997    8.18312    8.22526    8.25261    8.30855
    8.39877    8.52401    8.67915    8.83823    8.95599    8.97970    8.88271
    8.67913    8.40837

    7.98586    7.98135    7.98677    7.99766    7.99969    8.03515    8.09097
    8.17620    8.29567    8.44487    8.59983    8.71805    8.74911    8.66496
    8.47570    8.21996

    7.76943    7.77012    7.76980    7.76369    7.78913    7.81762    7.87038
    7.95045    8.06363    8.20659    8.35690    8.47549    8.51375    8.44192
    8.26718    8.02645

    7.55340    7.55889    7.55472    7.57787    7.57867    7.60017    7.64686
    7.72489    7.83285    7.96867    8.11495    8.23332    8.27786    8.21811
    8.05761    7.83116

    7.33459    7.34767    7.33586    7.34354    7.35287    7.37648    7.42344
    7.49615    7.59838    7.72869    7.86977    7.98744    8.03810    7.99007
    7.84397    7.62302

    7.11659    7.10626    7.11701    7.10922    7.12710    7.15909    7.20009
    7.26923    7.36613    7.48967    7.62554    7.74256    7.79851    7.76163
    7.63352    7.41929

    6.89681    6.89504    6.89816    6.92269    6.91647    6.93545    6.97683
    7.04081    7.13217    7.24919    7.38020    7.49545    7.55613    7.52996
    7.41609    7.20636

    6.67816    6.68381    6.67931    6.68839    6.69075    6.71192    6.75370
    6.81256    6.89946    7.01098    7.13624    7.24965    7.31416    7.29809
    7.19654    6.99710

    6.45866    6.47258    6.46046    6.45411    6.48022    6.49466    6.52758
    6.58447    6.66601    6.77127    6.89160    7.00253    7.07076    7.06520
    6.96695    6.78671

    6.24061    6.23118    6.24162    6.26759    6.25451    6.27122    6.30463
    6.35819    6.43477    6.53443    6.64871    6.75729    6.82818    6.83476
    6.74160    6.57039

    6.02258    6.01995    6.02278    6.03333    6.02887    6.05408    6.08175
    6.13206    6.20378    6.29796    6.40679    6.51217    6.58499    6.59840
    6.51472    6.35914

    5.80639    5.80872    5.80771    5.79982    5.81865    5.83083    5.86205
    5.90940    5.97596    6.06369    6.16703    6.26919    6.34349    6.36136
    6.28289    6.14459

    5.59099    5.59749    5.59076    5.61371    5.60829    5.61381    5.64239
    5.68687    5.74836    5.83103    5.92862    6.02720    6.10395    6.11848
    6.05577    5.93527

    5.37794    5.38627    5.37947    5.38097    5.38320    5.40324    5.42592
    5.46616    5.52395    5.60119    5.69319    5.78790    5.86713    5.88069
    5.82675    5.72472

    5.16638    5.17504    5.16630    5.14787    5.17316    5.18643    5.21254
    5.24722    5.30169    5.37353    5.45988    5.55070    5.62724    5.64423
    5.60273    5.51989

    4.95778    4.96381    4.95879    4.96364    4.96347    4.97602    4.99930
    5.03339    5.08258    5.14927    5.23033    5.31903    5.38977    5.40676
    5.37942    5.31536

    4.75128    4.75258    4.75128    4.73168    4.75383    4.77190    4.78914
    4.81967    4.86659    4.92778    5.00411    5.08793    5.14996    5.17538
    5.16158    5.11717

    4.54844    4.54135    4.54944    4.54859    4.55967    4.56793    4.58215
    4.61268    4.65371    4.71151    4.78198    4.86286    4.91805    4.94615
    4.94615    4.92034

    4.34818    4.36030    4.34948    4.36588    4.35052    4.36408    4.38129
    4.40582    4.44493    4.49797    4.56354    4.63745    4.69009    4.72334
    4.73725    4.72811

    4.15235    4.14908    4.15329    4.13618    4.15679    4.16658    4.18055
    4.20565    4.24116    4.28959    4.35120    4.41396    4.46450    4.50480
    4.53192    4.54320

    3.96024    3.96802    3.96089    3.95497    3.96329    3.97542    3.98592
    4.00887    4.04047    4.08514    4.14370    4.19784    4.24800    4.29445
    4.33487    4.36142

    3.77176    3.75680    3.77225    3.77452    3.77004    3.78439    3.79443
    3.81550    3.84480    3.88582    3.93815    3.98678    4.03459    4.08772
    4.14041    4.18492

    3.58837    3.57574    3.58928    3.59519    3.59229    3.59975    3.60908
    3.62879    3.65508    3.69220    3.73777    3.78011    3.83158    3.89146
    3.95386    4.01590

    3.40952    3.39469    3.41008    3.41661    3.41480    3.42145    3.42984
    3.44545    3.46936    3.50550    3.54296    3.58232    3.63327    3.69948
    3.77580    3.85123

    3.23546    3.24382    3.23654    3.23916    3.23767    3.24333    3.25374
    3.26713    3.28959    3.32141    3.35210    3.38971    3.44316    3.51569
    3.60226    3.69294

    3.06618    3.06277    3.06678    3.06246    3.07592    3.07154    3.08072
    3.09544    3.11475    3.14297    3.16917    3.20611    3.26227    3.34110
    3.43587    3.54161

    2.90257    2.91189    2.90268    2.88688    2.89942    2.91235    2.91684
    2.92874    2.94677    2.97015    2.99331    3.02893    3.08815    3.17283
    3.27763    3.39548

    2.74430    2.73084    2.74424    2.76015    2.75350    2.75329    2.75605
    2.76702    2.78468    2.80294    2.82290    2.85984    2.92254    3.01257
    3.12724    3.25580

    2.59148    2.57996    2.59145    2.58682    2.59285    2.59443    2.60140
    2.61193    2.62846    2.64192    2.66150    2.69984    2.76592    2.86052
    2.98286    3.12272

    2.44422    2.45926    2.44433    2.46233    2.44766    2.44813    2.45284
    2.46341    2.47617    2.48587    2.50589    2.54642    2.61610    2.71712
    2.84564    2.99690

    2.30260    2.30839    2.30287    2.29125    2.30286    2.30820    2.31038
    2.31987    2.32973    2.33840    2.35800    2.40117    2.47437    2.58003
    2.71574    2.87582

    2.16665    2.15751    2.16706    2.16900    2.17352    2.16842    2.17402
    2.18128    2.19009    2.19644    2.21863    2.26460    2.34048    2.45053
    2.59363    2.76086

    2.03660    2.03681    2.03692    2.04788    2.04453    2.04120    2.04374
    2.04926    2.05435    2.06242    2.08532    2.13448    2.21500    2.32872
    2.47724    2.65237

    1.91225    1.91611    1.91243    1.92787    1.91591    1.91415    1.91955
    1.92543    1.92729    1.93447    1.96006    2.01213    2.09590    2.21412
    2.36743    2.54993

    1.79356    1.79541    1.79361    1.80898    1.78766    1.79345    1.79845
    1.80492    1.80509    1.81321    1.84243    1.89699    1.98392    2.10669
    2.26404    2.45324

    1.68048    1.67471    1.68044    1.69122    1.67487    1.68530    1.68641
    1.68933    1.68868    1.69980    1.73080    1.78929    1.87905    2.00493
    2.16696    2.36219

    1.57294    1.58418    1.57293    1.57458    1.57755    1.57729    1.57745
    1.58029    1.57900    1.59184    1.62595    1.68738    1.78068    1.90955
    2.07581    2.27684

    1.47084    1.46348    1.47108    1.45905    1.46548    1.47565    1.47457
    1.47456    1.47606    1.49052    1.52788    1.59205    1.68876    1.82023
    1.99033    2.19576

    1.37407    1.37296    1.37489    1.39235    1.36886    1.37415    1.37776
    1.37698    1.37887    1.39640    1.43615    1.50300    1.60211    1.73681
    1.91061    2.11972

    1.28250    1.28243    1.28248    1.27870    1.28760    1.28513    1.28698
    1.28429    1.28744    1.30710    1.34997    1.41969    1.52131    1.65869
    1.83532    2.04847

    1.19594    1.19191    1.19572    1.21386    1.19158    1.19628    1.19928
    1.19652    1.20080    1.22380    1.26895    1.34210    1.44574    1.58571
    1.76478    1.98165

    1.11443    1.10138    1.11462    1.10244    1.11103    1.11376    1.11763
    1.11364    1.12086    1.14589    1.19385    1.26940    1.37541    1.51814
    1.69918    1.91948

    1.03765    1.04103    1.03729    1.03947    1.03071    1.03754    1.03903
    1.03727    1.04570    1.07397    1.12387    1.20157    1.31010    1.45453
    1.63798    1.86146

     .96544     .95051     .96562     .97762     .96585     .96765     .96648
     .96418     .97627    1.00623    1.05941    1.13862    1.24903    1.39532
    1.58106    1.80740

     .89762     .89016     .89772     .91651     .90122     .89786     .89697
     .89759     .91066     .94267     .99849    1.07972    1.19258    1.34020
    1.52808    1.75695


 constant for Pair  sampling table at low energies
  1.100000000000000E-003 -2.95860731484178  8.000000000000000E-003  35.9422067990508  2051.20481927711  45  45  5.000000000000000E-002  1.00000000000000  21  4.750000000000000E-002  .102595728488201  .000000000000000  .472870804501588  21  2.364354022507940E-002  .102595728488201  4.828789809056262E-002

Ta      
total pair x-sec. at low E
  1.100000E-03  3.704452E-05
  1.393120E-03  2.104079E-03
  1.764348E-03  8.974406E-03
  2.234498E-03  2.101748E-02
  2.829929E-03  3.768343E-02
  3.584028E-03  5.823480E-02
  4.539072E-03  8.197774E-02
  5.748609E-03  .108316
  7.280455E-03  .136748
  9.220495E-03  .187785
  1.167750E-02  .230050
  1.478923E-02  .273072
  1.873016E-02  .316353
  2.372123E-02  .359330
  3.004228E-02  .401410
  3.804772E-02  .441933
  4.818638E-02  .480331
  6.102673E-02  .516178
  7.728866E-02  .549181
  9.788396E-02  .579194
  .123967  .606186
  .157001  .630211
  .198838  .651391
  .251822  .669905
  .318926  .685958
  .403911  .699776
  .511542  .711592
  .647854  .721641
  .820490  .730143
  1.03913  .737307
  1.31603  .743321
  1.66671  .748353
  2.11084  .752552
  2.67332  .756048
  3.38569  .758950
  4.28789  .761357
  5.43049  .763348
  6.87756  .764992
  8.71025  .766347
  11.0313  .767463
  13.9708  .768380
  17.6937  .769134
  22.4085  .769753
  28.3798  .770261
  35.9422  .770676

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

     .12305     .11921     .11652     .11447     .11281     .11141     .11025
     .10924     .10839     .10763     .10700     .10643     .10595     .10554
     .10519     .10490     .10468     .10449     .10436     .10432     .10428

     .19429     .18822     .18399     .18076     .17814     .17597     .17415
     .17258     .17124     .17007     .16907     .16821     .16746     .16682
     .16628     .16583     .16549     .16519     .16500     .16496     .16487

     .25057     .24281     .23745     .23334     .23004     .22732     .22503
     .22309     .22141     .21997     .21872     .21765     .21672     .21594
     .21529     .21474     .21429     .21397     .21375     .21362     .21355

     .29512     .28616     .28000     .27533     .27161     .26855     .26599
     .26382     .26198     .26039     .25901     .25784     .25683     .25599
     .25528     .25466     .25420     .25383     .25361     .25335     .25339

     .33049     .32073     .31412     .30915     .30522     .30202     .29937
     .29714     .29524     .29361     .29222     .29104     .29004     .28919
     .28848     .28789     .28742     .28706     .28684     .28664     .28662

     .35866     .34851     .34172     .33668     .33274     .32955     .32693
     .32476     .32293     .32138     .32003     .31892     .31800     .31720
     .31654     .31600     .31557     .31522     .31503     .31493     .31483

     .38123     .37099     .36425     .35931     .35551     .35248     .35000
     .34797     .34628     .34487     .34367     .34268     .34186     .34117
     .34060     .34013     .33978     .33951     .33930     .33921     .33915

     .39943     .38936     .38285     .37815     .37458     .37177     .36953
     .36771     .36622     .36500     .36400     .36317     .36248     .36192
     .36146     .36110     .36083     .36062     .36047     .36044     .36036

     .39724     .38687     .38052     .37598     .37254     .36983     .36768
     .36602     .36467     .36357     .36266     .36192     .36132     .36082
     .36043     .36011     .35988     .35973     .35957     .35954     .35947

     .41328     .40381     .39791     .39376     .39076     .38850     .38674
     .38538     .38430     .38345     .38280     .38227     .38188     .38157
     .38134     .38119     .38104     .38099     .38088     .38084     .38083

     .42641     .41761     .41228     .40867     .40610     .40421     .40282
     .40176     .40100     .40045     .40005     .39977     .39958     .39946
     .39940     .39938     .39938     .39939     .39940     .39944     .39938

     .43712     .42909     .42436     .42124     .41911     .41761     .41657
     .41588     .41541     .41516     .41504     .41501     .41505     .41514
     .41523     .41537     .41549     .41560     .41566     .41570     .41576

     .44598     .43875     .43462     .43201     .43033     .42924     .42861
     .42826     .42814     .42820     .42837     .42861     .42891     .42923
     .42952     .42982     .43007     .43028     .43047     .43043     .43057

     .45343     .44700     .44349     .44142     .44020     .43955     .43932
     .43936     .43962     .44001     .44049     .44103     .44158     .44211
     .44264     .44311     .44353     .44387     .44409     .44429     .44432

     .45978     .45416     .45128     .44976     .44905     .44890     .44910
     .44954     .45020     .45093     .45174     .45260     .45343     .45423
     .45499     .45567     .45623     .45670     .45700     .45727     .45729

     .46521     .46044     .45825     .45731     .45714     .45746     .45813
     .45900     .46004     .46115     .46232     .46349     .46461     .46570
     .46667     .46753     .46828     .46883     .46924     .46951     .46962

     .46996     .46605     .46453     .46421     .46456     .46537     .46649
     .46782     .46925     .47074     .47225     .47373     .47514     .47646
     .47767     .47873     .47965     .48034     .48085     .48113     .48132

     .47411     .47107     .47025     .47052     .47141     .47271     .47427
     .47601     .47782     .47967     .48152     .48330     .48500     .48659
     .48802     .48929     .49036     .49120     .49185     .49221     .49234

     .47780     .47561     .47546     .47629     .47771     .47946     .48145
     .48359     .48577     .48796     .49012     .49222     .49420     .49602
     .49769     .49916     .50037     .50133     .50206     .50249     .50265

     .48106     .47970     .48021     .48159     .48347     .48567     .48807
     .49054     .49308     .49562     .49809     .50046     .50270     .50477
     .50665     .50829     .50968     .51078     .51154     .51205     .51222

     .48399     .48341     .48451     .48641     .48874     .49135     .49410
     .49695     .49980     .50264     .50541     .50804     .51052     .51283
     .51490     .51671     .51823     .51944     .52033     .52093     .52105

     .48659     .48676     .48843     .49076     .49351     .49650     .49959
     .50277     .50592     .50906     .51207     .51497     .51768     .52018
     .52246     .52443     .52610     .52740     .52840     .52900     .52914

     .48893     .48978     .49194     .49472     .49783     .50116     .50457
     .50802     .51148     .51485     .51813     .52123     .52418     .52687
     .52929     .53143     .53323     .53464     .53569     .53629     .53651

     .49102     .49247     .49510     .49825     .50172     .50534     .50905
     .51276     .51646     .52006     .52356     .52689     .53001     .53288
     .53548     .53774     .53965     .54118     .54223     .54299     .54317

     .49289     .49490     .49793     .50144     .50520     .50908     .51306
     .51701     .52092     .52475     .52844     .53195     .53526     .53828
     .54102     .54339     .54542     .54699     .54821     .54881     .54913

     .49454     .49705     .50046     .50427     .50829     .51243     .51661
     .52078     .52488     .52891     .53277     .53645     .53991     .54308
     .54593     .54843     .55056     .55220     .55347     .55423     .55444

     .49600     .49896     .50268     .50676     .51103     .51538     .51976
     .52411     .52839     .53257     .53661     .54044     .54401     .54732
     .55028     .55289     .55508     .55682     .55811     .55879     .55912

     .49731     .50065     .50467     .50897     .51343     .51797     .52252
     .52705     .53148     .53578     .53996     .54392     .54762     .55103
     .55410     .55677     .55904     .56085     .56215     .56299     .56321

     .49846     .50213     .50641     .51092     .51555     .52025     .52495
     .52958     .53416     .53861     .54288     .54695     .55075     .55424
     .55740     .56015     .56248     .56431     .56566     .56651     .56677

     .49947     .50345     .50792     .51259     .51738     .52222     .52703
     .53179     .53649     .54103     .54540     .54956     .55345     .55704
     .56027     .56309     .56544     .56737     .56875     .56951     .56985

     .50035     .50458     .50923     .51407     .51897     .52393     .52883
     .53371     .53848     .54313     .54758     .55181     .55577     .55942
     .56272     .56559     .56802     .56993     .57133     .57217     .57249

     .50114     .50558     .51037     .51533     .52034     .52539     .53039
     .53536     .54021     .54489     .54943     .55373     .55777     .56147
     .56480     .56772     .57018     .57214     .57357     .57450     .57474

     .50181     .50644     .51137     .51642     .52152     .52664     .53173
     .53674     .54165     .54644     .55101     .55538     .55945     .56320
     .56659     .56955     .57205     .57402     .57548     .57632     .57666

     .50240     .50717     .51221     .51735     .52253     .52771     .53285
     .53792     .54290     .54771     .55235     .55676     .56088     .56467
     .56808     .57110     .57362     .57562     .57705     .57797     .57828

     .50290     .50780     .51292     .51814     .52338     .52860     .53380
     .53892     .54395     .54882     .55347     .55794     .56208     .56592
     .56938     .57239     .57494     .57694     .57845     .57929     .57965

     .50334     .50835     .51354     .51881     .52409     .52937     .53461
     .53976     .54484     .54972     .55443     .55891     .56309     .56696
     .57042     .57348     .57605     .57809     .57960     .58045     .58079

     .50371     .50881     .51406     .51937     .52469     .53002     .53530
     .54048     .54555     .55050     .55522     .55974     .56396     .56783
     .57133     .57440     .57696     .57903     .58051     .58143     .58175

     .50404     .50919     .51450     .51984     .52521     .53057     .53586
     .54109     .54619     .55114     .55592     .56043     .56466     .56856
     .57207     .57516     .57774     .57979     .58133     .58226     .58256

     .50430     .50953     .51487     .52025     .52565     .53101     .53634
     .54157     .54671     .55167     .55648     .56100     .56526     .56917
     .57270     .57578     .57840     .58045     .58199     .58291     .58323

     .50454     .50981     .51518     .52058     .52600     .53138     .53674
     .54200     .54715     .55212     .55694     .56147     .56575     .56968
     .57322     .57631     .57893     .58100     .58248     .58341     .58378

     .50472     .51005     .51544     .52088     .52629     .53171     .53707
     .54233     .54750     .55251     .55730     .56187     .56616     .57008
     .57363     .57676     .57938     .58143     .58297     .58390     .58424

     .50489     .51025     .51566     .52111     .52653     .53196     .53733
     .54263     .54778     .55281     .55763     .56220     .56649     .57043
     .57399     .57713     .57975     .58182     .58338     .58422     .58462

     .50504     .51040     .51584     .52130     .52674     .53218     .53756
     .54286     .54803     .55305     .55789     .56248     .56677     .57072
     .57429     .57742     .58003     .58214     .58363     .58455     .58494

     .50516     .51054     .51599     .52146     .52693     .53235     .53775
     .54306     .54824     .55326     .55812     .56269     .56700     .57095
     .57453     .57765     .58028     .58236     .58387     .58488     .58520


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

     .53794     .53794     .53793     .53791     .53788     .53783     .53776
     .53766     .53755     .53740     .53722     .53701     .53677     .53649
     .53617     .53581     .53541     .53495     .53446     .53392     .53332

     .54532     .54532     .54531     .54529     .54525     .54519     .54511
     .54499     .54485     .54467     .54446     .54422     .54392     .54358
     .54320     .54278     .54230     .54176     .54116     .54051     .53979

     .55737     .55736     .55735     .55732     .55727     .55720     .55709
     .55694     .55677     .55655     .55628     .55596     .55559     .55517
     .55468     .55414     .55353     .55285     .55210     .55127     .55037

     .57369     .57369     .57367     .57364     .57357     .57347     .57334
     .57315     .57293     .57264     .57229     .57188     .57141     .57087
     .57024     .56954     .56876     .56789     .56692     .56585     .56469

     .59380     .59380     .59378     .59373     .59365     .59352     .59335
     .59311     .59281     .59246     .59201     .59150     .59089     .59020
     .58940     .58851     .58751     .58640     .58518     .58383     .58234

     .61710     .61710     .61707     .61701     .61690     .61675     .61653
     .61624     .61587     .61541     .61487     .61422     .61346     .61259
     .61160     .61048     .60924     .60785     .60631     .60462     .60277

     .64291     .64291     .64287     .64280     .64267     .64248     .64221
     .64186     .64141     .64085     .64018     .63939     .63847     .63740
     .63620     .63483     .63331     .63161     .62974     .62767     .62541

     .67054     .67054     .67050     .67041     .67026     .67003     .66971
     .66928     .66875     .66808     .66728     .66633     .66523     .66396
     .66252     .66089     .65907     .65704     .65480     .65234     .64964

     .69928     .69928     .69923     .69913     .69895     .69868     .69830
     .69780     .69717     .69641     .69547     .69436     .69307     .69159
     .68990     .68799     .68586     .68349     .68087     .67799     .67484

     .72845     .72844     .72838     .72827     .72806     .72776     .72732
     .72675     .72603     .72513     .72406     .72279     .72131     .71961
     .71767     .71550     .71305     .71033     .70733     .70404     .70043

     .75740     .75739     .75733     .75720     .75697     .75662     .75613
     .75550     .75468     .75367     .75246     .75103     .74936     .74744
     .74526     .74280     .74004     .73699     .73360     .72989     .72583

     .78558     .78557     .78551     .78536     .78511     .78472     .78417
     .78346     .78255     .78144     .78010     .77850     .77665     .77453
     .77210     .76938     .76633     .76294     .75920     .75507     .75058

     .81251     .81250     .81243     .81227     .81199     .81157     .81097
     .81019     .80920     .80798     .80650     .80477     .80274     .80042
     .79777     .79479     .79146     .78776     .78367     .77918     .77428

     .83781     .83780     .83773     .83755     .83725     .83679     .83615
     .83530     .83423     .83291     .83131     .82944     .82725     .82475
     .82189     .81868     .81509     .81110     .80671     .80187     .79659

     .86120     .86118     .86111     .86092     .86060     .86010     .85942
     .85852     .85737     .85596     .85426     .85225     .84993     .84725
     .84421     .84079     .83697     .83273     .82805     .82292     .81731

     .88248     .88246     .88238     .88218     .88184     .88132     .88060
     .87964     .87842     .87694     .87515     .87303     .87057     .86776
     .86456     .86095     .85694     .85248     .84757     .84218     .83630

     .90156     .90154     .90146     .90125     .90089     .90034     .89960
     .89859     .89732     .89576     .89388     .89168     .88912     .88618
     .88284     .87909     .87491     .87029     .86518     .85960     .85348

     .91843     .91841     .91832     .91810     .91773     .91717     .91638
     .91534     .91403     .91241     .91048     .90819     .90555     .90251
     .89907     .89522     .89091     .88615     .88092     .87517     .86889

     .93312     .93310     .93301     .93279     .93240     .93182     .93101
     .92994     .92860     .92694     .92496     .92262     .91991     .91682
     .91332     .90938     .90500     .90015     .89481     .88897     .88258

     .94576     .93703     .93664     .93607     .93518     .93397     .93265
     .93091     .92902     .92669     .92422     .92137     .91811     .91465
     .91080     .90653     .90183     .89676     .89131     .88537     .87890

     .95647     .95016     .94978     .94915     .94836     .94727     .94585
     .94429     .94234     .94023     .93773     .93495     .93187     .92841
     .92457     .92040     .91585     .91085     .90537     .89941     .89293

     .96545     .96087     .96053     .95994     .95912     .95807     .95680
     .95521     .95344     .95131     .94895     .94628     .94324     .93990
     .93621     .93213     .92764     .92270     .91730     .91146     .90509

     .97286     .96952     .96921     .96866     .96789     .96691     .96566
     .96421     .96245     .96049     .95821     .95561     .95274     .94952
     .94593     .94195     .93757     .93278     .92753     .92177     .91547

     .97892     .97647     .97615     .97565     .97493     .97403     .97287
     .97147     .96986     .96798     .96580     .96337     .96061     .95750
     .95405     .95023     .94601     .94135     .93620     .93056     .92438

     .98379     .98198     .98172     .98126     .98060     .97973     .97866
     .97738     .97586     .97407     .97205     .96973     .96709     .96415
     .96086     .95720     .95311     .94859     .94360     .93811     .93208

     .98768     .98634     .98610     .98567     .98506     .98427     .98329
     .98210     .98067     .97904     .97713     .97494     .97247     .96969
     .96655     .96304     .95912     .95478     .94995     .94463     .93875

     .99073     .98976     .98952     .98913     .98859     .98786     .98698
     .98587     .98456     .98304     .98127     .97923     .97691     .97428
     .97131     .96797     .96423     .96006     .95544     .95029     .94459

     .99310     .99238     .99217     .99183     .99135     .99068     .98987
     .98888     .98767     .98627     .98463     .98274     .98057     .97810
     .97530     .97214     .96859     .96462     .96018     .95523     .94974

     .99492     .99440     .99422     .99390     .99346     .99289     .99215
     .99124     .99015     .98887     .98736     .98562     .98360     .98130
     .97867     .97568     .97233     .96854     .96430     .95957     .95428

     .99630     .99591     .99574     .99549     .99509     .99458     .99391
     .99311     .99212     .99096     .98958     .98798     .98610     .98396
     .98149     .97871     .97553     .97194     .96791     .96338     .95832

     .99733     .99705     .99691     .99667     .99634     .99587     .99529
     .99456     .99368     .99262     .99137     .98989     .98817     .98618
     .98389     .98127     .97828     .97489     .97107     .96674     .96190

     .99810     .99789     .99777     .99756     .99727     .99687     .99636
     .99570     .99491     .99396     .99282     .99148     .98988     .98804
     .98591     .98345     .98065     .97745     .97381     .96969     .96506

     .99866     .99851     .99841     .99822     .99797     .99762     .99717
     .99660     .99590     .99503     .99399     .99276     .99130     .98960
     .98762     .98532     .98269     .97966     .97620     .97228     .96782

     .99906     .99895     .99887     .99872     .99849     .99819     .99779
     .99729     .99666     .99589     .99494     .99382     .99248     .99091
     .98906     .98692     .98443     .98157     .97828     .97450     .97021

     .99935     .99927     .99919     .99907     .99889     .99861     .99828
     .99782     .99727     .99657     .99572     .99470     .99346     .99200
     .99028     .98827     .98592     .98319     .98004     .97643     .97227

     .99956     .99950     .99944     .99934     .99917     .99894     .99864
     .99824     .99775     .99711     .99635     .99540     .99428     .99292
     .99130     .98941     .98717     .98456     .98153     .97802     .97398

     .99970     .99966     .99960     .99951     .99937     .99919     .99892
     .99857     .99812     .99756     .99686     .99599     .99494     .99367
     .99216     .99035     .98823     .98571     .98278     .97937     .97543

     .99980     .99976     .99973     .99966     .99953     .99937     .99914
     .99883     .99842     .99792     .99728     .99647     .99549     .99430
     .99287     .99113     .98909     .98666     .98381     .98047     .97661

     .99987     .99985     .99981     .99975     .99965     .99949     .99930
     .99902     .99866     .99820     .99760     .99687     .99594     .99481
     .99344     .99178     .98978     .98743     .98464     .98137     .97756

     .99991     .99989     .99988     .99981     .99972     .99960     .99942
     .99917     .99885     .99843     .99788     .99718     .99631     .99522
     .99390     .99229     .99034     .98804     .98529     .98207     .97830

     .99994     .99994     .99991     .99986     .99978     .99968     .99952
     .99930     .99901     .99861     .99809     .99743     .99660     .99556
     .99426     .99269     .99080     .98851     .98581     .98262     .97888

     .99996     .99996     .99994     .99990     .99983     .99974     .99961
     .99939     .99912     .99875     .99826     .99764     .99683     .99581
     .99456     .99301     .99114     .98888     .98621     .98304     .97933

     .99998     .99997     .99995     .99992     .99986     .99979     .99966
     .99948     .99922     .99887     .99840     .99779     .99701     .99602
     .99478     .99326     .99139     .98917     .98650     .98335     .97966

     .99999     .99998     .99996     .99995     .99990     .99983     .99970
     .99954     .99929     .99896     .99851     .99792     .99714     .99616
     .99494     .99343     .99159     .98937     .98672     .98358     .97990


constant used in Pair cre. sampling with LPM
  2051.20481927711  25  2.500000000000000E-002  .100000000000000  .000000000000000  1.00000000000000  41  3.31200902820875  515239.355378923

Ta      
Pair total x-sec. with LPM
  2051.20  .772434
  2582.31  .772693
  3250.94  .773534
  4092.69  .773852
  5152.39  .771674
  6486.48  .767530
  8165.99  .760010
  10280.4  .748806
  12942.2  .734137
  16293.3  .715507
  20512.0  .693067
  25823.1  .667422
  32509.4  .638825
  40926.9  .607836
  51523.9  .575066
  64864.8  .541134
  81659.9  .506657
  102804.  .472149
  129422.  .438121
  162933.  .404939
  205120.  .372975
  258231.  .342438
  325094.  .313502
  409269.  .286277
  515239.  .260845

Pair table with LPM
    1.00000     .99027     .98043     .97045     .96033     .95007     .93967
     .92915     .91846     .90763     .89664     .88552     .87423     .86280
     .85120     .83944     .82754     .81545     .80323     .79084     .77828
     .76557     .75270     .73968     .72651     .71318     .69971     .68611
     .67236     .65849     .64450     .63039     .61618     .60188     .58749
     .57302     .55850     .54392     .52930     .51465     .50000

    1.00000     .99020     .98028     .97021     .96001     .94968     .93922
     .92861     .91785     .90696     .89591     .88471     .87337     .86188
     .85023     .83842     .82645     .81434     .80204     .78956     .77686
     .76417     .75133     .73815     .72505     .71180     .69841     .68487
     .67096     .65722     .64335     .62938     .61530     .60113     .58687
     .57217     .55782     .54342     .52896     .51449     .50000

    1.00000     .99020     .98025     .97018     .95997     .94962     .93916
     .92852     .91776     .90685     .89579     .88459     .87322     .86172
     .85003     .83817     .82613     .81405     .80167     .78931     .77682
     .76414     .75114     .73820     .72512     .71189     .69852     .68500
     .67109     .65736     .64351     .62954     .61547     .60130     .58704
     .57271     .55831     .54385     .52896     .51449     .50000

    1.00000     .99018     .98025     .97016     .95995     .94961     .93912
     .92849     .91773     .90681     .89574     .88447     .87313     .86160
     .84986     .83813     .82624     .81403     .80187     .78954     .77706
     .76443     .75141     .73849     .72542     .71220     .69883     .68531
     .67165     .65785     .64361     .62962     .61552     .60131     .58702
     .57265     .55821     .54370     .52916     .51459     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92870     .91798     .90705     .89600     .88479     .87356     .86217
     .85053     .83887     .82706     .81509     .80279     .79052     .77810
     .76550     .75272     .73979     .72644     .71323     .69986     .68634
     .67266     .65885     .64490     .63083     .61663     .60232     .58792
     .57344     .55888     .54393     .52932     .51467     .50000

    1.00000     .99027     .98040     .97042     .96029     .95004     .93964
     .92907     .91839     .90757     .89671     .88561     .87447     .86320
     .85162     .84005     .82832     .81641     .80433     .79206     .77946
     .76690     .75415     .74122     .72812     .71485     .70140     .68780
     .67403     .66011     .64578     .63163     .61734     .60294     .58844
     .57385     .55918     .54444     .52966     .51484     .50000

    1.00000     .99036     .98060     .97071     .96069     .95054     .94024
     .92979     .91932     .90865     .89794     .88708     .87597     .86481
     .85349     .84199     .83018     .81835     .80634     .79414     .78176
     .76917     .75640     .74344     .73029     .71676     .70329     .68963
     .67580     .66181     .64766     .63336     .61892     .60435     .58966
     .57489     .56002     .54508     .53008     .51505     .50000

    1.00000     .99050     .98089     .97115     .96128     .95126     .94117
     .93095     .92069     .91019     .89967     .88897     .87811     .86695
     .85577     .84440     .83283     .82105     .80909     .79691     .78437
     .77183     .75908     .74612     .73295     .71959     .70602     .69226
     .67831     .66417     .64987     .63540     .62076     .60600     .59084
     .57588     .56082     .54568     .53049     .51525     .50000

    1.00000     .99068     .98127     .97172     .96203     .95228     .94244
     .93252     .92240     .91222     .90186     .89124     .88056     .86968
     .85860     .84733     .83582     .82401     .81213     .80003     .78770
     .77514     .76236     .74934     .73611     .72265     .70897     .69508
     .68077     .66649     .65203     .63740     .62259     .60763     .59253
     .57730     .56198     .54656     .53108     .51555     .50000

    1.00000     .99093     .98174     .97245     .96305     .95359     .94401
     .93436     .92455     .91453     .90440     .89407     .88355     .87281
     .86178     .85064     .83927     .82767     .81583     .80376     .79145
     .77888     .76606     .75300     .73956     .72604     .71228     .69828
     .68406     .66961     .65496     .64009     .62505     .60982     .59445
     .57892     .56329     .54755     .53174     .51589     .50000

    1.00000     .99122     .98232     .97334     .96427     .95513     .94593
     .93655     .92696     .91726     .90734     .89721     .88682     .87627
     .86550     .85448     .84322     .83172     .81994     .80790     .79549
     .78297     .77015     .75708     .74374     .73013     .71625     .70211
     .68773     .67308     .65821     .64310     .62779     .61228     .59659
     .58075     .56463     .54857     .53243     .51623     .50000

    1.00000     .99154     .98298     .97436     .96569     .95692     .94796
     .93891     .92965     .92017     .91045     .90057     .89045     .88007
     .86945     .85857     .84742     .83591     .82424     .81229     .80004
     .78751     .77468     .76156     .74814     .73442     .72042     .70612
     .69155     .67669     .66145     .64611     .63052     .61472     .59873
     .58255     .56623     .54979     .53325     .51665     .50000

    1.00000     .99191     .98373     .97552     .96722     .95878     .95022
     .94146     .93244     .92327     .91386     .90420     .89428     .88409
     .87356     .86285     .85184     .84055     .82896     .81705     .80483
     .79230     .77946     .76629     .75280     .73898     .72476     .71032
     .69558     .68052     .66518     .64956     .63367     .61753     .60118
     .58463     .56792     .55104     .53409     .51706     .50000

    1.00000     .99230     .98454     .97674     .96886     .96081     .95257
     .94410     .93545     .92654     .91737     .90794     .89819     .88821
     .87795     .86739     .85651     .84533     .83382     .82198     .80981
     .79729     .78437     .77117     .75763     .74373     .72949     .71489
     .69995     .68467     .66908     .65317     .63696     .62049     .60377
     .58681     .56969     .55241     .53501     .51752     .50000

    1.00000     .99271     .98539     .97803     .97053     .96287     .95495
     .94685     .93848     .92985     .92091     .91174     .90226     .89249
     .88241     .87202     .86129     .85021     .83880     .82699     .81487
     .80239     .78954     .77631     .76271     .74871     .73435     .71959
     .70446     .68898     .67311     .65692     .64041     .62358     .60649
     .58912     .57156     .55383     .53596     .51800     .50000

    1.00000     .99314     .98629     .97933     .97225     .96493     .95739
     .94959     .94152     .93314     .92452     .91560     .90635     .89678
     .88689     .87666     .86604     .85509     .84380     .83213     .82008
     .80762     .79478     .78152     .76786     .75380     .73930     .72441
     .70910     .69339     .67727     .66079     .64396     .62678     .60930
     .59153     .57354     .55530     .53695     .51851     .50000

    1.00000     .99358     .98717     .98064     .97393     .96699     .95979
     .95231     .94453     .93647     .92809     .91941     .91039     .90104
     .89129     .88125     .87083     .86002     .84882     .83724     .82525
     .81284     .80001     .78674     .77303     .75890     .74429     .72926
     .71378     .69786     .68151     .66475     .64756     .63002     .61215
     .59396     .57551     .55684     .53798     .51902     .50000

    1.00000     .99403     .98806     .98194     .97559     .96900     .96214
     .95495     .94749     .93969     .93159     .92313     .91431     .90517
     .89567     .88580     .87553     .86486     .85378     .84229     .83038
     .81802     .80520     .79192     .77819     .76398     .74931     .73414
     .71847     .70235     .68576     .66872     .65124     .63335     .61508
     .59646     .57752     .55836     .53901     .51954     .50000

    1.00000     .99447     .98891     .98318     .97721     .97095     .96438
     .95753     .95034     .94282     .93496     .92673     .91817     .90923
     .89991     .89021     .88009     .86956     .85860     .84722     .83537
     .82307     .81030     .79704     .78326     .76899     .75422     .73894
     .72314     .70682     .69000     .67265     .65486     .63662     .61796
     .59893     .57956     .55992     .54007     .52007     .50000

    1.00000     .99490     .98974     .98438     .97875     .97280     .96656
     .95998     .95307     .94579     .93818     .93021     .92187     .91312
     .90400     .89446     .88451     .87412     .86329     .85200     .84025
     .82800     .81525     .80199     .78823     .77392     .75908     .74368
     .72771     .71122     .69418     .67660     .65851     .63993     .62088
     .60143     .58162     .56150     .54110     .52059     .50000

    1.00000     .99531     .99053     .98551     .98020     .97457     .96862
     .96232     .95565     .94865     .94126     .93351     .92538     .91683
     .90789     .89852     .88873     .87847     .86776     .85658     .84490
     .83273     .82003     .80679     .79299     .77865     .76374     .74824
     .73217     .71550     .69825     .68042     .66203     .64312     .62368
     .60382     .58356     .56298     .54213     .52111     .50000

    1.00000     .99569     .99126     .98658     .98158     .97623     .97056
     .96450     .95811     .95133     .94418     .93664     .92870     .92036
     .91158     .90238     .89272     .88261     .87202     .86094     .84936
     .83723     .82458     .81136     .79758     .78321     .76824     .75266
     .73646     .71963     .70216     .68410     .66545     .64622     .62646
     .60620     .58552     .56448     .54315     .52163     .50000

    1.00000     .99606     .99197     .98757     .98286     .97779     .97236
     .96656     .96040     .95385     .94691     .93957     .93182     .92365
     .91506     .90601     .89651     .88653     .87606     .86507     .85357
     .84153     .82893     .81574     .80196     .78757     .77253     .75687
     .74057     .72360     .70597     .68770     .66879     .64926     .62915
     .60852     .58743     .56594     .54413     .52212     .50000

    1.00000     .99639     .99262     .98850     .98406     .97924     .97405
     .96848     .96253     .95620     .94946     .94231     .93475     .92675
     .91831     .90942     .90006     .89019     .87984     .86897     .85755
     .84557     .83302     .81988     .80608     .79169     .77663     .76091
     .74451     .72741     .70962     .69114     .67199     .65218     .63176
     .61076     .58927     .56730     .54506     .52259     .50000

    1.00000     .99671     .99322     .98937     .98516     .98057     .97561
     .97025     .96452     .95837     .95182     .94486     .93746     .92963
     .92135     .91259     .90336     .89362     .88337     .87260     .86126
     .84934     .83685     .82372     .80997     .79557     .78048     .76469
     .74820     .73098     .71304     .69437     .67498     .65488     .63416
     .61283     .59097     .56865     .54597     .52304     .50000


