# ************************************************ 
#     This table  has been made by using ../../Data/BaseM/W 
#     with Bremsstrahlung formula: # 1
#     and  Pair creation  formula: # 1.
#     Tue Apr 20 21:07:20 GMT+0900 1999 by KASAHARA Katsuaki using
#     version epics.uv5.00  
# 
#name   Format    tangsten
W 	1
#
#  Elem	 rho(g/cm^3)	Gas/Solid(1/0)  refl.index Birks c

1         19.3	        0                0         0 0 0
# 	Z	A  	N
	74	183.92	1
 Excitation (Ionization) potential = 748.20 eV
 radation length=  .350542471434070 cm  6.76546969867755 g/cm^2
 <Aeff>=  183.920000000000 <Zeff=>  74.0000000000000 <Z2/A>=   29.7738147020444
 plasma energy=  8.029966449211830E-008 GeV no density=  6.319445319160510E+022 /cm^3
 <Z2eff=>  5476.00000000000 <Z/A>=  .402348847324924
Migdal s1=  5.263229412456792E-004
 Conversion factors:
 g/cm^2 to cm=  5.181347150259070E-002
 mb to /(g/cm2)=  3.274323999565030E-006 mb to /cm=  6.319445319160510E-005 mb to /X0=  2.215233980270990E-005
 If a comound is specified as an Atom, use the
 following instead:   3.274323999565030E-006  6.319445319160510E-005  2.215233980270990E-005
 pi x Re**2 * N* Z /A *X0g  = 0.15 Z/A*X0g=  .408945057990519
 media.A, Z, Z^2=  183.920000000000  74.0000000000000  5476.00000000000

 **** Sternheimers consts
 a, b, c =  6.180078588448800E-002  13.7243077594678 -5.46490763772035
 x0, x1 =  .281559917258480  3.00000000000000
 sa, xa =  .207478386214742  1.18647583610182
 minimum dEdx_restricted=  9.459007666835840E-004 GeV/(g/cm^2)  with Tcut=  1.000000000000000E-004 GeV

 **** photoelectric consts
b0, b1, b2=  .255350966840928  1.22523541736694  .436266202337835
fa, a, p=  1.14802721229267  4.370739987470003E-004  .139026181284099
l, ek=  5.68750000000000  7.447360000000000E-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

W       
Seltzer Brems total X-sec. table upto E=  .100000000000000 GeV
  7.110000E-04  5.89805
  9.104920E-04  5.40427
  1.165957E-03  5.36921
  1.493101E-03  5.54221
  1.912034E-03  5.81415
  2.448512E-03  6.13584
  3.135514E-03  6.48162
  4.015274E-03  6.83681
  5.141878E-03  7.19626
  6.584583E-03  7.55457
  8.432082E-03  7.90805
  1.079795E-02  8.26345
  1.382763E-02  8.63432
  1.770738E-02  9.01514
  2.267571E-02  9.37155
  2.903805E-02  9.71822
  3.718552E-02  10.0782
  4.761902E-02  10.4562
  6.097994E-02  10.8247
  7.808965E-02  11.1879
  .100000  11.5695

Selzter Brems sampling table; log(v/vmin)/(1-u)
    2.81893    2.75820    2.70692    2.66308    2.62532    2.59253    2.56387
    2.53860    2.51621    2.49626    2.47839    2.46228    2.44773    2.43451
    2.42253    2.41165    2.40174    2.39267    2.38424    2.37673

    3.34910    3.25646    3.18302    3.12310    3.07340    3.03172    2.99643
    2.96626    2.94023    2.91757    2.89778    2.88034    2.86492    2.85122
    2.83895    2.82798    2.81811    2.80926    2.80126    2.79388

    3.71448    3.60613    3.52445    3.46011    3.40803    3.36505    3.32888
    3.29824    3.27186    3.24893    3.22894    3.21142    3.19597    3.18228
    3.17017    3.15934    3.14969    3.14106    3.13328    3.12636

    4.03443    3.91908    3.83371    3.76749    3.71456    3.67123    3.63530
    3.60486    3.57886    3.55650    3.53714    3.52036    3.50570    3.49285
    3.48157    3.47164    3.46287    3.45497    3.44802    3.44186

    4.33598    4.21718    4.13022    4.06336    4.01039    3.96750    3.93192
    3.90199    3.87666    3.85507    3.83660    3.82074    3.80701    3.79508
    3.78469    3.77566    3.76766    3.76076    3.75452    3.74912

    4.63151    4.51164    4.42471    4.35842    4.30622    4.26418    4.22940
    4.20041    4.17610    4.15564    4.13824    4.12343    4.11076    4.09989
    4.09049    4.08240    4.07532    4.06912    4.06378    4.05915

    4.92015    4.80062    4.71485    4.65002    4.59940    4.55859    4.52511
    4.49746    4.47452    4.45536    4.43926    4.42568    4.41417    4.40436
    4.39604    4.38890    4.38272    4.37743    4.37287    4.36885

    5.20792    5.08992    5.00609    4.94325    4.89446    4.85517    4.82317
    4.79702    4.77550    4.75771    4.74292    4.73055    4.72022    4.71149
    4.70408    4.69787    4.69253    4.68804    4.68406    4.68076

    5.49374    5.37752    5.29524    5.23376    5.18604    5.14765    5.11663
    5.09147    5.07095    5.05416    5.04030    5.02887    5.01938    5.01148
    5.00487    4.99931    4.99466    4.99073    4.98739    4.98448

    5.77763    5.66358    5.58315    5.52325    5.47674    5.43938    5.40939
    5.38526    5.36575    5.34993    5.33708    5.32655    5.31785    5.31076
    5.30482    5.29990    5.29581    5.29238    5.28960    5.28711

    6.06065    5.94923    5.87092    5.81283    5.76755    5.73124    5.70232
    5.67926    5.66078    5.64593    5.63398    5.62432    5.61643    5.61004
    5.60474    5.60043    5.59690    5.59391    5.59134    5.58943

    6.34150    6.23251    6.15614    6.09970    6.05544    6.02015    5.99223
    5.97015    5.95264    5.93878    5.92767    5.91879    5.91167    5.90589
    5.90120    5.89739    5.89430    5.89184    5.88967    5.88796

    6.61793    6.51028    6.43498    6.37947    6.33576    6.30117    6.27404
    6.25281    6.23616    6.22309    6.21274    6.20455    6.19808    6.19288
    6.18873    6.18532    6.18265    6.18043    6.17882    6.17719

    6.88986    6.78264    6.70779    6.65268    6.60924    6.57519    6.54879
    6.52835    6.51250    6.50017    6.49058    6.48302    6.47711    6.47244
    6.46869    6.46580    6.46336    6.46153    6.46011    6.45872

    7.16371    7.05834    6.98498    6.93097    6.88837    6.85528    6.82990
    6.81043    6.79552    6.78405    6.77521    6.76836    6.76300    6.75888
    6.75556    6.75305    6.75102    6.74941    6.74793    6.74704

    7.43660    7.33353    7.26202    7.20929    7.16773    7.13574    7.11143
    7.09300    7.07904    7.06840    7.06030    7.05408    7.04931    7.04565
    7.04282    7.04056    7.03884    7.03748    7.03642    7.03551

    7.70464    7.60270    7.53220    7.48015    7.43929    7.40817    7.38479
    7.36727    7.35415    7.34427    7.33683    7.33118    7.32691    7.32362
    7.32116    7.31921    7.31766    7.31647    7.31568    7.31490

    7.96656    7.86457    7.79444    7.74261    7.70232    7.67202    7.64954
    7.63291    7.62057    7.61141    7.60457    7.59947    7.59562    7.59271
    7.59048    7.58885    7.58753    7.58653    7.58575    7.58518

    8.22748    8.12580    8.05634    8.00499    7.96552    7.93625    7.91478
    7.89908    7.88758    7.87913    7.87291    7.86831    7.86488    7.86233
    7.86040    7.85892    7.85781    7.85704    7.85650    7.85588

    8.48710    8.38572    8.31692    8.26604    8.22750    8.19930    8.17888
    8.16411    8.15344    8.14568    8.14004    8.13590    8.13285    8.13064
    8.12895    8.12772    8.12674    8.12612    8.12545    8.12513

    8.75585    8.66244    8.60263    8.56304    8.53616    8.51759    8.50454
    8.49526    8.48855    8.48356    8.47975    8.47669    8.47408    8.47156
    8.46890    8.46560    8.46070    8.45135    8.42862    8.39118


Seltzer Brems sampling tbl in B; log(v/vmin)
    5.25758    5.34535    5.25487    5.25633    5.25517    5.25507    5.24822
    5.24682    5.24090    5.22432    5.20632    5.18021    5.14959    5.11107
    5.06200    5.00330    4.93545    4.85936    4.77564    4.68489    4.58691

    9.21549    9.20507    9.21704    9.21337    9.20713    9.19477    9.17221
    9.14193    9.09160    9.02536    8.93531    8.81571    8.66994    8.49543
    8.29447    8.06890    7.82242    7.56105    7.28935    7.01223    6.73422

   13.71639   13.80503   13.72362   13.71542   13.69843   13.66432   13.61179
   13.50762   13.36268   13.15967   12.89511   12.57381   12.19598   11.77141
   11.31004   10.82435   10.32658    9.82649    9.33322    8.85276    8.38957

   18.31492   18.21860   18.30257   18.28948   18.25179   18.17227   18.01810
   17.78968   17.46554   17.03424   16.50015   15.87896   15.19105   14.46034
   13.70841   12.95426   12.21417   11.49826   10.81509   10.16852    9.56124

   22.95722   23.00904   22.92834   22.89861   22.81347   22.63692   22.33101
   21.87183   21.25048   20.46424   19.55878   18.56646   17.53628   16.49879
   15.48052   14.49821   13.56358   12.68511   11.86491   11.10383   10.39994

   27.32100   27.41917   27.32735   27.26533   27.10992   26.79717   26.25311
   25.44743   24.38280   23.13332   21.79807   20.44184   19.11150   17.83364
   16.62542   15.49348   14.44077   13.46644   12.56748   11.74054   10.98219

   31.74996   31.82668   31.83083   31.72160   31.49216   30.97757   30.03384
   28.67924   27.02116   25.24016   23.47173   21.77891   20.19780   18.73793
   17.39732   16.16864   15.04325   14.01427   13.07180   12.20858   11.41940

   35.80874   36.04152   35.97550   35.80947   35.53084   34.69817   33.17457
   31.13100   28.85920   26.59217   24.45770   22.51134   20.76814   19.20665
   17.80147   16.53148   15.38211   14.33809   13.38668   12.51652   11.72033

   39.71818   40.06349   39.92728   39.70932   39.33988   38.01025   35.73627
   32.96840   30.09684   27.39821   24.97933   22.86189   21.01992   19.40983
   17.98576   16.71277   15.56876   14.53160   13.58775   12.72493   11.93543

   43.45334   43.70218   43.62667   43.36231   42.81377   40.79540   37.67996
   34.15955   30.77035   27.73504   25.12551   22.90565   21.02271   19.40926
   18.00116   16.75405   15.63750   14.62676   13.70690   12.86452   12.09266

   47.01269   47.33848   47.14518   46.98284   45.73886   42.78790   38.87702
   34.78011   31.00392   27.73442   24.99837   22.72675   20.84122   19.25396
   17.88775   16.68639   15.61494   14.64425   13.75961   12.94746   12.20113

   50.41775   50.78223   50.44728   50.13046   48.20635   44.29503   39.57106
   34.94117   30.85085   27.43389   24.64831   22.38094   20.53130   18.99845
   17.69381   16.55400   15.53908   14.61889   13.77796   13.00246   12.28700

   53.85444   54.22424   53.69999   52.90870   50.36269   45.53847   40.00292
   34.82493   30.43060   26.90838   24.12986   21.92495   20.15318   18.69945
   17.47200   16.40331   15.45253   14.58823   13.79615   13.06199   12.38041

   57.13338   57.47415   56.72480   55.24925   51.96998   46.21095   39.96744
   34.35217   29.78877   26.23658   23.52530   21.42035   19.75168   18.39237
   17.25220   16.25868   15.37547   14.57017   13.82884   13.13688   12.48994

   60.17974   60.34149   59.56956   57.48006   52.77170   45.88262   39.12402
   33.43260   28.95197   25.51963   22.90870   20.89857   19.31909   18.04688
   16.99119   16.07408   15.26029   14.51510   13.82477   13.17555   12.56346

   63.06962   63.39837   62.32979   59.20255   52.68740   44.94159   37.98483
   32.39460   28.08219   24.79345   22.29605   20.37238   18.87950   17.69158
   16.71926   15.88264   15.14013   14.45606   13.81643   13.20856   12.63074

   65.93515   66.26366   64.92223   60.37902   52.27150   43.87112   36.80216
   31.31236   27.15591   24.02808   21.66523   19.85816   18.46823   17.37413
   16.48919   15.73033   15.05808   14.43391   13.84393   13.27625   12.73074

   68.83120   68.93750   67.23966   61.23849   51.92842   42.87428   35.57873
   30.10479   26.11964   23.19020   21.01969   19.37571   18.11546   17.12109
   16.32007   15.63595   15.03167   14.46650   13.92429   13.39420   12.87718

   71.60413   71.61070   69.35372   61.70790   51.02947   41.47493   34.18041
   28.88567   25.11930   22.40536   20.41904   18.92210   17.78048   16.88364
   16.16664   15.55665   15.01820   14.50967   14.01238   13.51675   13.02568

   74.29850   74.28338   71.26450   61.48526   49.56546   39.87776   32.83924
   27.75948   24.22219   21.68881   19.85809   18.49557   17.46955   16.67001
   16.03781   15.50085   15.02377   14.56687   14.11095   13.64767   13.18082

   77.06510 1578.09212  271.18055  116.80040   68.95807   47.79140   36.44653
   29.64497   25.21820   22.20764   20.08998   18.57216   17.46521   16.64040
   16.00416   15.48510   15.02653   14.58914   14.15052   13.70298   13.24953


 constant for Brems sampling table at low energies
  35.7797324205443  1.000000000000000E-004  1.000000000000000E-002 -2.00000000000000  35.7797324205443  5.880828966130864E-003  .100000000000000  1.00000000000000  35  4.736842105263160E-002  .104518737893041  .104518737893041  .000000000000000  .562341325190349  2.811706625951750E-002  35  20  21

W       
Brems total X-sec. table upto E=  35.7797324205442 GeV
  1.000000E-02  4.93302
  1.272093E-02  5.30038
  1.618220E-02  5.67470
  2.058525E-02  6.03685
  2.618635E-02  6.39371
  3.331146E-02  6.74494
  4.237527E-02  7.10939
  5.390526E-02  7.47212
  6.857248E-02  7.82845
  8.723056E-02  8.18356
  .110965  8.57672
  .141158  8.92600
  .179566  9.27220
  .228425  9.61572
  .290578  9.95885
  .369642  10.3010
  .470219  10.6300
  .598162  10.9314
  .760917  11.1915
  .967957  11.3994
  1.23133  11.5484
  1.56637  11.6366
  1.99256  11.6649
  2.53473  11.6375
  3.22441  11.5602
  4.10174  11.4389
  5.21780  11.2803
  6.63752  11.0902
  8.44354  10.8741
  10.7410  10.6365
  13.6635  10.3816
  17.3812  10.1127
  22.1106  9.83292
  28.1267  9.54448
  35.7797  9.24946

Brems sampling table at low E for Small Eg
    4.11237    4.01525    3.94177    3.88395    3.83713    3.79845    3.76588
    3.73788    3.71296    3.69093    3.67145    3.65434    3.63922    3.62592
    3.61418    3.60376    3.59455    3.58636    3.57906    3.57263

    4.37176    4.27509    4.20216    4.14496    4.09883    4.06085    4.02898
    4.00114    3.97652    3.95493    3.93605    3.91957    3.90518    3.89263
    3.88164    3.87199    3.86346    3.85601    3.84954    3.84367

    4.62806    4.53070    4.45728    4.39987    4.35372    4.31579    4.28389
    4.25584    4.23129    4.21001    4.19164    4.17574    4.16202    4.15013
    4.13983    4.13083    4.12307    4.11625    4.11036    4.10510

    4.88544    4.78863    4.71580    4.65906    4.61361    4.57640    4.54474
    4.51700    4.49301    4.47244    4.45482    4.43976    4.42688    4.41579
    4.40630    4.39817    4.39107    4.38494    4.37981    4.37513

    5.14333    5.04755    4.97574    4.91997    4.87548    4.83912    4.80777
    4.78058    4.75731    4.73756    4.72081    4.70666    4.69465    4.68446
    4.67581    4.66844    4.66210    4.65677    4.65196    4.64803

    5.39897    5.30409    5.23324    5.17848    5.13497    5.09934    5.06840
    5.04187    5.01943    5.00060    4.98480    4.97156    4.96047    4.95110
    4.94329    4.93663    4.93096    4.92613    4.92232    4.91870

    5.65078    5.55514    5.48394    5.42912    5.38573    5.34996    5.31900
    5.29285    5.27102    5.25292    5.23791    5.22548    5.21513    5.20649
    5.19932    5.19333    5.18828    5.18407    5.18058    5.17748

    5.90065    5.80420    5.73291    5.67845    5.63558    5.59990    5.56944
    5.54407    5.52317    5.50600    5.49195    5.48041    5.47093    5.46314
    5.45666    5.45135    5.44694    5.44323    5.44023    5.43751

    6.15025    6.05331    5.98198    5.92777    5.88528    5.84963    5.81969
    5.79509    5.77508    5.75889    5.74572    5.73505    5.72640    5.71930
    5.71357    5.70883    5.70485    5.70163    5.69903    5.69677

    6.39761    6.29991    6.22844    6.17444    6.13214    6.09666    6.06737
    6.04368    6.02463    6.00940    5.99717    5.98737    5.97946    5.97313
    5.96796    5.96372    5.96035    5.95748    5.95528    5.95335

    6.64874    6.55515    6.48880    6.44076    6.40529    6.37868    6.35847
    6.34298    6.33103    6.32171    6.31442    6.30869    6.30418    6.30058
    6.29777    6.29545    6.29362    6.29212    6.29102    6.28994

    6.89473    6.80071    6.73471    6.68740    6.65278    6.62707    6.60772
    6.59306    6.58181    6.57317    6.56649    6.56125    6.55719    6.55400
    6.55145    6.54949    6.54790    6.54658    6.54563    6.54471

    7.13898    7.04460    6.97899    6.93241    6.89866    6.87385    6.85536
    6.84145    6.83094    6.82291    6.81677    6.81201    6.80833    6.80548
    6.80323    6.80155    6.80009    6.79907    6.79834    6.79745

    7.38169    7.28698    7.22182    7.17602    7.14316    7.11922    7.10158
    7.08844    7.07859    7.07116    7.06550    7.06121    7.05793    7.05535
    7.05342    7.05187    7.05067    7.04972    7.04893    7.04839

    7.62283    7.52776    7.46303    7.41793    7.38585    7.36266    7.34566
    7.33307    7.32364    7.31649    7.31098    7.30667    7.30316    7.30022
    7.29745    7.29456    7.29105    7.28517    7.26950    7.25272

    7.86265    7.76728    7.70298    7.65857    7.62721    7.60468    7.58824
    7.57605    7.56689    7.55985    7.55429    7.54968    7.54567    7.54183
    7.53778    7.53281    7.52549    7.51445    7.52066    7.55376

    8.10269    8.00761    7.94436    7.90129    7.87138    7.85032    7.83534
    7.82468    7.81707    7.81171    7.80798    7.80555    7.80415    7.80369
    7.80419    7.80593    7.81365    7.84786    7.91561    8.02291

    8.34464    8.25110    8.19021    8.14991    8.12303    8.10529    8.09395
    8.08729    8.08423    8.08414    8.08671    8.09199    8.10035    8.11280
    8.13127    8.16407    8.23016    8.33678    8.49175    8.70597

    8.59005    8.49993    8.44336    8.40800    8.38666    8.37505    8.37062
    8.37186    8.37796    8.38869    8.40436    8.42589    8.45507    8.49514
    8.55556    8.65522    8.80260    9.00744    9.28351    9.65095

    8.84022    8.75583    8.70607    8.67843    8.66574    8.66391    8.67062
    8.68470    8.70586    8.73453    8.77204    8.82075    8.88481    8.97350
    9.10566    9.29255    9.54537    9.88071   10.32308   10.91077

    9.09590    9.01983    8.97968    8.96287    8.96242    8.97448    8.99712
    9.02968    9.07258    9.12728    9.19652    9.28483    9.40043    9.56313
    9.78473   10.08012   10.46710   10.97317   11.64175   12.54727

    9.35735    9.29231    9.26463    9.26192    9.27739    9.30763    9.35116
    9.40806    9.47966    9.56877    9.68000    9.82078   10.00844   10.26028
   10.58963   11.01708   11.57128   12.29765   13.27198   14.63540

    9.62458    9.57317    9.56081    9.57536    9.61042    9.66303    9.73237
    9.81935    9.92652   10.05827   10.22162   10.42973   10.70339   11.05817
   11.51307   12.09790   12.85669   13.86234   15.24492   17.26627

    9.89719    9.86185    9.86745    9.90224    9.96027   10.03917   10.13888
   10.26135   10.41043   10.59252   10.81764   11.10631   11.47639   11.94680
   12.54580   13.31439   14.31877   15.67239   17.59090   20.55238

   10.17469   10.15762   10.18354   10.24124   10.32530   10.43402   10.56822
   10.73094   10.92771   11.16705   11.46427   11.84135   12.31680   12.91633
   13.67685   14.65634   15.94988   17.72836   20.33750   24.63153

   10.45652   10.45965   10.50800   10.59095   10.70372   10.84534   11.01760
   11.22486   11.47432   11.77714   12.15451   12.62649   13.21586   13.95550
   14.89481   16.11173   17.73918   20.02563   23.50827   29.67165

   10.74208   10.76710   10.83964   10.94983   11.09358   11.27076   11.48417
   11.73954   12.04600   12.41882   12.88094   13.45312   14.16380   15.05434
   16.18821   17.66818   19.67387   22.55534   27.11895   35.87813

   11.03081   11.07912   11.17738   11.31650   11.49316   11.70807   11.96520
   12.27172   12.63874   13.08670   13.63700   14.31397   15.15226   16.20313
   17.54616   19.31297   21.73971   25.30451   31.17834   43.50034

   11.32225   11.39505   11.52029   11.68972   11.90087   12.15536   12.45833
   12.81850   13.24991   13.77576   14.41696   15.20253   16.17391   17.39320
   18.95824   21.03355   23.92143   28.25590   35.68463   52.83987

   11.61594   11.71424   11.86750   12.06840   12.31534   12.61090   12.96145
   13.37731   13.87651   14.48170   15.21593   16.11311   17.22209   18.61675
   20.41493   22.81786   26.20353   31.39056   40.62702   64.26158

   11.91153   12.03619   12.21831   12.45165   12.73541   13.07327   13.47280
   13.94650   14.51540   15.20083   16.02973   17.04095   18.29119   19.86698
   21.90771   24.65490   28.57099   34.68721   45.98541   78.20527

   12.20869   12.36041   12.57211   12.83862   13.16009   13.54119   13.99083
   14.52463   15.16367   15.93006   16.85489   17.98199   19.37638   21.13794
   23.42916   26.53472   31.00958   38.12471   51.73261   95.20050

   12.50714   12.68653   12.92838   13.22867   13.58851   14.01364   14.51448
   15.10968   15.81901   16.66702   17.68848   18.93281   20.47360   22.42465
   24.97263   28.44828   33.50637   41.68184   57.83411  115.88333

   12.80669   13.01424   13.28672   13.62128   14.02002   14.48975   15.04343
   15.70012   16.47962   17.40958   18.52803   19.89047   21.57929   23.72267
   26.53242   30.38771   36.04923   45.33837   64.25241  141.01431

   13.10712   13.34326   13.64677   14.01598   14.45401   14.96893   15.57662
   16.29449   17.14425   18.15569   19.37142   20.85255   22.69045   25.02824
   28.10365   32.34600   38.62741   49.07562   70.94697  171.50270


Brems sampling tbl at low E for large Eg
   30.08877   30.10189   29.91682   29.91418   29.38366   27.95029   25.79436
   23.35949   20.99138   18.85917   17.01518   15.45958   14.15607   13.06297
   12.14265   11.35351   10.66335   10.04833    9.49305    8.98465    8.51582

   33.00340   33.20016   32.82621   32.63411   31.81154   29.80154   27.05646
   24.14552   21.42803   19.07454   17.11623   15.51495   14.19935   13.11499
   12.21284   11.44545   10.77766   10.18417    9.64864    9.15689    8.70249

   35.83132   35.91402   35.69418   35.02430   33.89832   31.39041   28.05420
   24.66095   21.61736   19.07901   17.04105   15.43380   14.14539   13.10178
   12.24033   11.51027   10.87460   10.30972    9.79889    9.32786    8.89158

   38.61370   38.62166   38.37859   37.48524   35.70707   32.31267   28.36595
   24.63781   21.46944   18.90799   16.89090   15.31157   14.05839   13.05160
   12.22776   11.53441   10.93237   10.39894    9.91595    9.46815    9.05120

   41.40656   41.51379   41.03381   39.80671   37.01234   32.71008   28.28745
   24.38002   21.18134   18.65120   16.67532   15.13636   13.92176   12.95536
   12.17125   11.51920   10.95657   10.45894   10.00738    9.58623    9.19124

   44.06358   44.21127   43.56536   41.79631   37.70742   32.61774   27.89334
   23.92869   20.78386   18.33594   16.43260   14.95012   13.78127   12.85815
   12.11660   11.50834   10.98716   10.52759   10.10832    9.71346    9.33940

   46.72403   46.90453   46.06882   43.35291   38.24830   32.49770   27.52105
   23.45631   20.33020   17.94273   16.11525   14.71207   13.61817   12.76180
   12.07751   11.51963   11.04171   10.62013   10.23341    9.86559    9.51320

   49.31546   49.21338   48.37812   44.74975   38.69778   32.29816   26.95656
   22.77591   19.69301   17.42265   15.72893   14.44695   13.45499   12.67750
   12.05033   11.53908   11.10265   10.71971   10.36783   10.02852    9.69711

   51.89836   51.89973   50.60077   45.73775   38.45199   31.53693   26.17656
   22.11166   19.16117   17.00938   15.41713   14.22018   13.29888   12.58538
   12.01567   11.55725   11.16646   10.82268   10.50303   10.18967    9.87777

   54.43735   54.39293   52.65384   46.28186   37.86385   30.67301   25.38384
   21.45001   18.63628   16.60373   15.11740   14.00816   13.16143   12.51642
   12.00678   11.60155   11.25561   10.94871   10.65915   10.36918   10.07411

 1349.84476 1349.84476  224.65181   95.26116   55.67606   38.24748   28.96336
   23.39438   19.77154   17.29858   15.54687   14.28011   13.34947   12.65743
   12.13212   11.72201   11.38510   11.08838   10.80630   10.52350   10.23309

 1153.63657 1153.63657  200.10599   86.59874   51.30400   35.67443   27.26903
   22.21415   18.92975   16.69062   15.11633   13.98685   13.16648   12.56402
   12.11356   11.76500   11.47885   11.22220   10.97127   10.71084   10.43587

  986.51979  986.51979  178.71812   78.87360   47.38353   33.32496   25.72003
   21.14289   18.17575   16.15621   14.75137   13.75028   13.03442   12.51469
   12.13245   11.84111   11.60149   11.38073   11.15655   10.91486   10.65200

  847.76436  847.76436  160.03954   71.97194   43.87152   31.22082   24.34597
   20.19663   17.51297   15.70133   14.45096   13.57145   12.94917   12.50650
   12.18871   11.94927   11.75061   11.56213   11.36068   11.13422   10.88022

  730.90628  730.90628  143.56064   65.84319   40.72156   29.30391   23.09991
   19.36037   16.93871   15.32053   14.21407   13.44625   12.91157   12.54100
   12.28081   12.08889   11.92745   11.76674   11.58424   11.36939   11.12147

  631.57202  631.57202  129.10470   60.39384   37.90199   27.60059   22.01360
   18.62048   16.45103   15.01266   14.03746   13.37252   12.91887   12.61355
   12.40670   12.25741   12.12883   11.99176   11.82475   11.61818   11.37344

  548.43532  548.43532  116.37497   55.51129   35.35414   26.08687   21.01861
   17.96059   16.02828   14.75661   13.90231   13.33224   12.95350   12.70776
   12.54878   12.43780   12.33870   12.22163   12.06688   11.86623   11.62278

  477.30532  477.30532  105.05046   51.09223   33.02373   24.66212   20.10436
   17.36474   15.64904   14.52768   13.78991   13.30575   12.99539   12.80458
   12.68945   12.61195   12.53848   12.43874   12.29388   12.09736   11.85421

  415.89672  415.89672   94.89330   47.05207   30.86763   23.34791   19.24336
   16.81810   15.29860   14.31666   13.68422   13.27692   13.02824   12.88579
   12.80898   12.76221   12.71074   12.62636   12.48993   12.29718   12.05395

  363.25823  363.25823   85.70120   43.33442   28.85608   22.09288   18.44878
   16.28674   14.95707   14.10738   13.56460   13.22991   13.03591   12.93601
   12.89454   12.87401   12.84248   12.77086   12.64248   12.45307   12.21049

  317.86540  317.86540   77.41483   39.90406   26.97050   20.92864   17.67900
   15.77900   14.61123   13.88400   13.42817   13.15585   13.00965   12.94706
   12.93517   12.93792   12.92343   12.86411   12.74335   12.55813   12.31723

  278.00246  278.00246   69.91517   36.73515   25.20125   19.81205   16.95114
   15.27335   14.26658   13.64237   13.26470   13.04773   12.94327   12.91350
   12.92681   12.94923   12.95031   12.90214   12.78934   12.60928   12.37160

  243.28860  243.28860   63.14271   33.80653   23.54389   18.78050   16.24534
   14.78985   13.91678   13.38612   13.07156   12.90550   12.83673   12.83439
   12.86805   12.90790   12.92223   12.88490   12.78036   12.60665   12.37388

  213.34275  213.34275   57.02599   31.10882   21.99619   17.79388   15.56122
   14.29753   13.55577   13.10770   12.85383   12.72744   12.69005   12.71065
   12.76234   12.81602   12.84248   12.81563   12.72009   12.55410   12.32757

  187.21141  187.21141   51.49350   28.62554   20.55519   16.85098   14.91713
   13.82684   13.18932   12.81829   12.61135   12.52038   12.50808   12.54673
   12.61300   12.67877   12.71550   12.69885   12.61296   12.45565   12.23709

  164.13177  164.13177   46.50951   26.34493   19.21940   15.99039   14.29382
   13.35710   12.81740   12.51031   12.34918   12.28778   12.29450   12.34807
   12.42546   12.50087   12.54747   12.54044   12.46450   12.31714   12.10760

  144.10392  144.10392   42.02633   24.25990   17.98583   15.13252   13.69077
   12.89833   12.44589   12.19503   12.06970   12.03130   12.05546   12.12005
   12.20584   12.28909   12.34410   12.34626   12.28049   12.14372   11.94444

  126.55568  126.55568   37.99627   22.35868   16.84926   14.39276   13.12578
   12.44986   12.07440   11.86842   11.77532   11.75604   11.79335   11.86626
   11.95889   12.04869   12.11073   12.12156   12.06653   11.94083   11.75264

  111.29635  111.29635   34.38355   20.62713   15.80371   13.65114   12.59776
   12.02138   11.70259   11.53786   11.46837   11.46708   11.51299   11.59295
   11.68998   11.78430   11.85225   11.87190   11.82680   11.71300   11.53648

   98.13518   98.13518   31.14049   19.05110   14.84247   12.98324   12.08640
   11.59167   11.33613   11.20309   11.15371   11.16429   11.21803   11.30280
   11.40317   11.50064   11.57401   11.60117   11.56635   11.46410   11.30011

   86.49997   86.49997   28.23130   17.62116   13.95955   12.38662   11.59051
   11.18058   10.96855   10.86390   10.83370   10.85447   10.91328   11.00021
   11.10180   11.20132   11.27883   11.31297   11.28807   11.19785   11.04657

   76.19995   76.19995   25.62022   16.32317   13.14677   11.77958   11.12747
   10.77701   10.60543   10.52753   10.50810   10.53575   10.59866   10.68697
   10.78855   10.88947   10.97041   11.01091   10.99569   10.91728   10.77890

   67.23515   67.23515   23.27145   15.14535   12.39813   11.23799   10.67710
   10.39056   10.24634   10.18617   10.17931   10.21321   10.27776   10.36570
   10.46746   10.56869   10.65157   10.69787   10.69153   10.62474   10.49944

   59.41480   59.41480   21.17309   14.07827   11.70693   10.71996   10.23811
   10.01028    9.89092    9.84716    9.84962    9.88672    9.95296   10.03994
   10.13979   10.23997   10.32434   10.37582   10.37799   10.32262   10.21016

   52.54817   52.54817   19.28934   13.10778   11.06720   10.22302    9.82824
    9.63550    9.54480    9.51023    9.51888    9.55960    9.62417    9.70962
    9.80688    9.90592    9.99115   10.04670   10.05690   10.01244    9.91303


 constant for Brems sampling table at high energies
  3.577973242054430E-004  35.7797324205443  1.55363708836339  50  5.000000000000000E-002  .100000000000000  2842085.16925181  5.000000000000000E-002  .200000000000000  1.00000000000000  17  .000000000000000  .668740304976422  16  15  4.458268699842813E-002  50  7.500000000000000E-002  169292.254400854  4.00000000000000

W       
Brems total X-sec. table with C.S+LPM upto E=  2842085.16925182 GeV
  35.7797  9.15518
  45.0440  8.84412
  56.7071  8.56865
  71.3900  8.28653
  89.8746  7.99925
  113.145  7.71216
  142.442  7.41956
  179.323  7.12521
  225.755  6.83259
  284.209  6.53797
  357.797  6.24402
  450.440  5.95310
  567.071  5.66320
  713.900  5.37618
  898.746  5.09408
  1131.45  4.81556
  1424.42  4.54307
  1793.23  4.27599
  2257.55  4.01623
  2842.09  3.76331
  3577.97  3.51902
  4504.40  3.28311
  5670.71  3.05597
  7139.00  2.83870
  8987.46  2.63111
  11314.5  2.43347
  14244.2  2.24586
  17932.3  2.06881
  22575.5  1.90198
  28420.9  1.74528
  35779.7  1.59856
  45044.0  1.46163
  56707.1  1.33421
  71390.0  1.21591
  89874.6  1.10662
  113145.  1.00576
  142442.  .912912
  179323.  .827629
  225755.  .749463
  284209.  .677961
  357797.  .612676
  450440.  .553166
  567071.  .499007
  713900.  .449789
  898746.  .405121
  1.131455E+06  .364635
  1.424417E+06  .327981
  1.793235E+06  .294836
  2.257548E+06  .264894
  2.842085E+06  .237871

Brems with LPM sampling tbl for small Eg
     .49603     .43615     .38797     .34856     .31633     .28959     .26707
     .24785     .23127     .21679     .20400     .19258     .18224     .17272
     .16369     .15463     .14336

     .50423     .44424     .39603     .35744     .32583     .29946     .27714
     .25800     .24139     .22681     .21389     .20228     .19172     .18194
     .17261     .16315     .15093

     .51406     .45448     .40689     .36879     .33744     .31118     .28885
     .26962     .25286     .23809     .22493     .21307     .20223     .19214
     .18245     .17253     .15922

     .52410     .46491     .41853     .38084     .34972     .32354     .30119
     .28185     .26493     .24995     .23656     .22444     .21331     .20290
     .19284     .18243     .16793

     .53459     .47640     .43032     .39311     .36224     .33618     .31382
     .29441     .27735     .26219     .24858     .23620     .22480     .21407
     .20365     .19275     .17697

     .54517     .48777     .44286     .40606     .37542     .34944     .32707
     .30757     .29037     .27502     .26118     .24855     .23686     .22582
     .21502     .20362     .18645

     .55620     .50020     .45554     .41922     .38884     .36298     .34063
     .32106     .30373     .28822     .27417     .26131     .24934     .23799
     .22682     .21491     .19625

     .56747     .51248     .46895     .43304     .40288     .37712     .35477
     .33513     .31768     .30199     .28774     .27463     .26240     .25073
     .23918     .22675     .20648

     .57972     .52578     .48245     .44705     .41715     .39152     .36920
     .34952     .33196     .31612     .30168     .28835     .27586     .26389
     .25197     .23902     .21704

     .59189     .53893     .49670     .46166     .43200     .40648     .38418
     .36445     .34679     .33081     .31618     .30263     .28987     .27760
     .26531     .25183     .22802

     .60488     .55301     .51098     .47646     .44706     .42168     .39943
     .37967     .36193     .34582     .33103     .31727     .30428     .29172
     .27907     .26506     .23931

     .61787     .56694     .52598     .49178     .46263     .43738     .41517
     .39540     .37758     .36135     .34639     .33244     .31921     .30636
     .29335     .27880     .25100

     .63118     .58167     .54096     .50726     .47840     .45330     .43116
     .41138     .39351     .37718     .36209     .34795     .33450     .32138
     .30802     .29296     .26426

     .64518     .59628     .55658     .52322     .49460     .46965     .44758
     .42781     .40989     .39347     .37824     .36394     .35028     .33690
     .32319     .30761     .27828

     .65910     .61155     .57215     .53927     .51097     .48618     .46420
     .44446     .42651     .41002     .39469     .38023     .36638     .35275
     .33872     .32264     .29270

     .67355     .62669     .58827     .55575     .52769     .50308     .48119
     .46148     .44352     .42696     .41153     .39694     .38290     .36904
     .35469     .33812     .30759

     .68793     .64239     .60454     .57225     .54453     .52011     .49833
     .47867     .46071     .44412     .42861     .41390     .39971     .38563
     .37098     .35393     .32284

     .70271     .65790     .62078     .58913     .56166     .53743     .51577
     .49617     .47822     .46160     .44602     .43120     .41686     .40258
     .38764     .37013     .33851

     .71737     .67388     .63737     .60595     .57881     .55481     .53328
     .51376     .49585     .47922     .46359     .44869     .43422     .41975
     .40455     .38660     .35449

     .73232     .68961     .65383     .62308     .59622     .57241     .55103
     .53159     .51372     .49709     .48143     .46646     .45186     .43723
     .42177     .40340     .37085

     .74708     .70573     .67060     .64028     .61355     .58999     .56877
     .54943     .53161     .51501     .49933     .48431     .46963     .45484
     .43915     .42037     .38744

     .76204     .72172     .68710     .65730     .63109     .60774     .58668
     .56744     .54970     .53312     .51744     .50237     .48761     .47269
     .45678     .43761     .40436

     .77689     .73755     .70384     .67449     .64860     .62547     .60456
     .58546     .56778     .55125     .53558     .52049     .50566     .49063
     .47452     .45499     .42148

     .79153     .75350     .72050     .69146     .66594     .64309     .62238
     .60340     .58583     .56935     .55371     .53861     .52374     .50861
     .49233     .47246     .43876

     .80616     .76925     .73688     .70853     .68335     .66073     .64020
     .62137     .60389     .58748     .57187     .55678     .54188     .52666
     .51022     .49004     .45623

     .82057     .78476     .75331     .72546     .70062     .67825     .65790
     .63920     .62184     .60551     .58995     .57488     .55996     .54468
     .52810     .50762     .47379

     .83469     .80024     .76954     .74220     .71758     .69551     .67540
     .65686     .63962     .62338     .60789     .59285     .57793     .56260
     .54590     .52516     .49138

     .84864     .81539     .78537     .75860     .73452     .71271     .69279
     .67442     .65730     .64116     .62573     .61074     .59582     .58046
     .56365     .54268     .50905

     .86227     .83019     .80114     .77491     .75121     .72966     .70995
     .69174     .67474     .65870     .64336     .62842     .61353     .59815
     .58126     .56007     .52667

     .87550     .84487     .81665     .79098     .76765     .74639     .72689
     .70870     .69185     .67593     .66067     .64580     .63095     .61557
     .59861     .57725     .54418

     .88848     .85913     .83174     .80661     .78355     .76260     .74334
     .72549     .70878     .69298     .67782     .66302     .64821     .63284
     .61584     .59431     .56166

     .90107     .87299     .84634     .82184     .79933     .77866     .75962
     .74194     .72538     .70969     .69464     .67992     .66517     .64981
     .63278     .61113     .57899

     .91323     .88637     .86076     .83683     .81473     .79435     .77552
     .75802     .74160     .72604     .71109     .69646     .68178     .66646
     .64941     .62766     .59612

     .92496     .89949     .87476     .85142     .82972     .80963     .79102
     .77368     .75742     .74199     .72715     .71261     .69800     .68274
     .66569     .64387     .61302

     .93622     .91216     .88831     .86557     .84426     .82447     .80608
     .78892     .77280     .75751     .74279     .72835     .71382     .69861
     .68158     .65972     .62965

     .94712     .92438     .90141     .87926     .85837     .83874     .82060
     .80365     .78772     .77255     .75795     .74362     .72918     .71404
     .69705     .67518     .64598

     .95753     .93608     .91400     .89242     .87187     .85270     .83479
     .81803     .80224     .78721     .77273     .75850     .74416     .72909
     .71215     .69030     .66204

     .96747     .94730     .92600     .90508     .88505     .86619     .84850
     .83191     .81627     .80138     .78701     .77290     .75865     .74367
     .72679     .70499     .67775

     .97694     .95795     .93767     .91736     .89775     .87917     .86170
     .84529     .82980     .81503     .80079     .78679     .77265     .75776
     .74095     .71923     .69308

     .98594     .96826     .94886     .92913     .90993     .89164     .87440
     .85816     .84280     .82818     .81405     .80017     .78614     .77134
     .75463     .73302     .70802

     .99446     .97808     .95954     .94040     .92160     .90360     .88657
     .87050     .85529     .84079     .82679     .81302     .79909     .78441
     .76780     .74634     .72255

    1.00261     .98742     .96973     .95116     .93276     .91504     .89821
     .88230     .86724     .85287     .83899     .82534     .81153     .79695
     .78046     .75918     .73666

    1.01033     .99629     .97941     .96141     .94339     .92595     .90933
     .89359     .87866     .86441     .85066     .83712     .82343     .80897
     .79261     .77153     .75033

    1.01761    1.00469     .98860     .97115     .95352     .93635     .91993
     .90434     .88955     .87542     .86179     .84837     .83480     .82047
     .80424     .78342     .76356

    1.02450    1.01265     .99734     .98043     .96319     .94628     .93007
     .91465     .90001     .88585     .87234     .85905     .84560     .83139
     .81533     .79478     .77630

    1.03094    1.02011    1.00554     .98915     .97225     .95561     .93947
     .92424     .90974     .89589     .88249     .86931     .85598     .84191
     .82602     .80579     .78869

    1.03699    1.02713    1.01327     .99739     .98075     .96439     .94859
     .93351     .91915     .90542     .89213     .87907     .86587     .85194
     .83622     .81633     .80065

    1.04266    1.03374    1.02056    1.00510     .98895     .97285     .95724
     .94231     .92808     .91446     .90129     .88835     .87527     .86149
     .84595     .82647     .81218

    1.04798    1.03994    1.02737    1.01251     .99670     .98084     .96542
     .95063     .93652     .92303     .90997     .89714     .88420     .87056
     .85524     .83619     .82328

    1.05295    1.04570    1.03389    1.01949    1.00401     .98839     .97314
     .95850     .94452     .93114     .91819     .90548     .89265     .87918
     .86408     .84549     .83397


Brems with LPM smp tbl; (sqrt(v)-sqrt(vmin)/(1-u)
    9.03258    9.03744    9.03390    9.06464    9.06573    9.09753    9.16746
    9.27386    9.42297    9.60167    9.77625    9.88640    9.87579    9.72588
    9.46568    9.14484

    8.83429    8.82622    8.83579    8.83435    8.85624    8.89902    8.96182
    9.06570    9.20850    9.38166    9.55316    9.66589    9.66403    9.52707
    9.28037    8.97120

    8.63060    8.64518    8.63202    8.65074    8.66155    8.69408    8.75315
    8.85265    8.98928    9.15630    9.32417    9.43876    9.44553    9.32180
    9.08901    8.79195

    8.42565    8.43396    8.42637    8.41897    8.45163    8.48295    8.54459
    8.63641    8.76835    8.93007    9.09353    9.21019    9.22510    9.11413
    8.89527    8.61062

    8.21483    8.22274    8.21695    8.23425    8.24144    8.27174    8.32691
    8.41536    8.54173    8.69727    8.85668    8.97452    8.99741    8.89945
    8.69481    8.42306

    8.00381    8.01152    8.00563    8.00138    8.03121    8.05431    8.10934
    8.19446    8.31535    8.46421    8.61992    8.73830    8.76871    8.68339
    8.49290    8.23628

    7.78841    7.80029    7.79055    7.81556    7.80554    7.83684    7.88878
    7.97038    8.08427    8.22714    8.37821    8.49685    8.53433    8.46157
    8.28553    8.04422

    7.57348    7.55889    7.57547    7.58197    7.59513    7.61940    7.66830
    7.74478    7.85446    7.99109    8.13745    8.25577    8.29987    8.23894
    8.07715    7.85045

    7.35535    7.34766    7.35661    7.34764    7.36933    7.40196    7.44485
    7.51768    7.62093    7.75167    7.89305    8.01101    8.06086    8.01177
    7.86427    7.64284

    7.13812    7.13644    7.13965    7.16146    7.15879    7.17831    7.22151
    7.29076    7.38866    7.51326    7.64961    7.76664    7.82205    7.78420
    7.65524    7.44032

    6.91877    6.92521    6.91891    6.92678    6.93293    6.95468    6.99825
    7.06232    7.15567    7.27336    7.40463    7.52004    7.58022    7.55307
    7.43871    7.22760

    6.70063    6.71398    6.70195    6.69286    6.72248    6.73740    6.77509
    6.83571    6.92291    7.03509    7.16103    7.27475    7.33902    7.32207
    7.21463    7.01918

    6.48137    6.47258    6.48310    6.50634    6.49675    6.51390    6.55203
    6.60760    6.69042    6.79659    6.91672    7.02813    7.09593    7.08953
    6.99077    6.80932

    6.26362    6.26135    6.26426    6.27206    6.27108    6.29671    6.32905
    6.38295    6.45914    6.55970    6.67419    6.78309    6.85368    6.86013
    6.76602    6.59305

    6.04567    6.05012    6.04730    6.03817    6.06071    6.07335    6.10619
    6.15682    6.22813    6.32257    6.43223    6.53821    6.61083    6.62430
    6.53949    6.38209

    5.82962    5.83890    5.83035    5.85205    5.83517    5.85630    5.88644
    5.93247    6.00029    6.08889    6.19241    6.29514    6.36944    6.38762
    6.30763    6.16738

    5.61417    5.62767    5.61528    5.61855    5.62497    5.63933    5.66680
    5.70994    5.77267    5.85557    5.95396    6.05308    6.13025    6.14461
    6.08063    5.95813

    5.40111    5.38627    5.40211    5.38544    5.41490    5.42246    5.45031
    5.48921    5.54823    5.62569    5.71846    5.81400    5.89375    5.90701
    5.85145    5.74733

    5.18938    5.17504    5.19082    5.20046    5.20494    5.21190    5.23389
    5.27191    5.32594    5.39799    5.48510    5.57642    5.65397    5.67042
    5.62730    5.54238

    4.98064    4.99399    4.98143    4.96811    4.99516    5.00145    5.02364
    5.05639    5.10680    5.17369    5.25549    5.34323    5.41643    5.43253
    5.40364    5.33736

    4.77386    4.78276    4.77392    4.78389    4.78549    4.79109    4.81349
    4.84432    4.88981    4.95217    5.02881    5.11352    5.17607    5.20086
    5.18544    5.13896

    4.57077    4.57153    4.57207    4.55306    4.57622    4.58715    4.60650
    4.63404    4.67694    4.73526    4.80623    4.88551    4.94392    4.97110
    4.96957    4.94168

    4.37072    4.36030    4.37023    4.36997    4.38209    4.38323    4.40259
    4.42879    4.46811    4.52168    4.58775    4.66003    4.71608    4.74849
    4.76079    4.74942

    4.17396    4.17925    4.17404    4.18801    4.17319    4.18573    4.20184
    4.22698    4.26337    4.31206    4.37497    4.43851    4.48911    4.52861
    4.55419    4.56352

    3.98146    3.96802    3.98164    4.00681    3.97969    3.99457    4.00721
    4.03019    4.06266    4.10758    4.16701    4.22176    4.27214    4.31771
    4.35659    4.38112

    3.79293    3.78697    3.79300    3.77862    3.80159    3.80353    3.81570
    3.83680    3.86697    3.90823    3.96142    4.01063    4.05823    4.11059
    4.16193    4.20445

    3.60863    3.60592    3.60814    3.59892    3.60860    3.61885    3.63033
    3.64843    3.67626    3.71336    3.76020    3.80251    3.85416    3.91307
    3.97418    4.03440

    3.42928    3.42487    3.42895    3.42034    3.43110    3.44055    3.44807
    3.46509    3.49053    3.52481    3.56496    3.60440    3.65498    3.72043
    3.79537    3.86906

    3.25469    3.24382    3.25541    3.24289    3.25397    3.26243    3.27196
    3.28676    3.30977    3.34192    3.37324    3.41062    3.46401    3.53569
    3.62110    3.71011

    3.08482    3.09294    3.08564    3.06619    3.09222    3.09063    3.10195
    3.11505    3.13395    3.16285    3.18907    3.22643    3.28208    3.36031
    3.45387    3.55812

    2.92063    2.91189    2.92154    2.93833    2.93081    2.92521    2.93505
    2.94672    2.96500    2.98941    3.01280    3.04811    3.10693    3.19111
    3.29469    3.41126

    2.76176    2.76101    2.76121    2.76350    2.76968    2.76612    2.77425
    2.78499    2.80193    2.82158    2.84155    2.87815    2.94049    3.02994
    3.14371    3.27095

    2.60833    2.61014    2.60843    2.59018    2.60903    2.61346    2.61958
    2.62988    2.64570    2.65993    2.67933    2.71729    2.78305    2.87697
    2.99841    3.13706

    2.46044    2.45926    2.46131    2.46568    2.46384    2.46715    2.47102
    2.47973    2.49340    2.50327    2.52290    2.56302    2.63221    2.73282
    2.86050    3.00971

    2.31820    2.30839    2.31796    2.34194    2.31890    2.32097    2.32853
    2.33454    2.34600    2.35457    2.37380    2.41694    2.48967    2.59483
    2.72981    2.88893

    2.18159    2.18769    2.18215    2.17198    2.18957    2.18739    2.18916
    2.19595    2.20539    2.21141    2.23362    2.27953    2.35498    2.46444
    2.60703    2.77326

    2.05090    2.03681    2.05012    2.05048    2.04536    2.05394    2.05887
    2.06392    2.06964    2.07737    2.09990    2.14856    2.22870    2.34189
    2.48973    2.66416

    1.92591    1.91611    1.92564    1.93048    1.93185    1.92687    1.93168
    1.93846    1.94067    1.94822    1.97345    2.02539    2.10880    2.22642
    2.37926    2.56095

    1.80659    1.79541    1.80681    1.81159    1.80359    1.80617    1.81357
    1.81794    1.81845    1.82634    1.85541    1.90941    1.99603    2.11840
    2.27521    2.46366

    1.69288    1.70488    1.69364    1.69383    1.69080    1.69802    1.69853
    1.70235    1.70204    1.71233    1.74298    1.80089    1.89038    2.01591
    2.17747    2.37201

    1.58472    1.58418    1.58425    1.57681    1.57825    1.58378    1.58956
    1.59169    1.59140    1.60377    1.63734    1.69843    1.79121    1.91981
    2.08566    2.28616

    1.48201    1.49366    1.48240    1.46129    1.48129    1.48212    1.48667
    1.48594    1.48750    1.50184    1.53846    1.60227    1.69871    1.82992
    1.99952    2.20457

    1.38465    1.37296    1.38432    1.39422    1.38455    1.38677    1.38684
    1.38835    1.38935    1.40652    1.44634    1.51268    1.61148    1.74578
    1.91926    2.12794

    1.29251    1.28243    1.29191    1.28056    1.28819    1.29157    1.29606
    1.29405    1.29696    1.31662    1.35898    1.42856    1.52990    1.66709
    1.84344    2.05620

    1.20538    1.19191    1.20515    1.21572    1.20727    1.20890    1.20835
    1.20626    1.21032    1.23272    1.27795    1.35042    1.45375    1.59353
    1.77235    1.98888

    1.12332    1.13156    1.12405    1.10431    1.12672    1.12638    1.12671
    1.12177    1.12943    1.15422    1.20206    1.27717    1.38303    1.52539
    1.70621    1.92621

    1.04603    1.04103    1.04672    1.04134    1.04640    1.04396    1.04811
    1.04541    1.05331    1.08170    1.13169    1.20881    1.31714    1.46136
    1.64459    1.86777

     .97331     .98068     .97317     .97911     .96632     .97403     .97254
     .97230     .98388    1.01336    1.06604    1.14531    1.25569    1.40172
    1.58724    1.81321

     .90501     .89016     .90527     .91800     .90169     .90424     .90602
     .90409     .91732     .94980    1.00513    1.08615    1.19866    1.34618
    1.53372    1.76244

     .84092     .82981     .84114     .85764     .83730     .84074     .83956
     .84076     .85648     .89043     .94814    1.03130    1.14528    1.29459
    1.48404    1.71512


 constant for Pair  sampling table at low energies
  1.100000000000000E-003 -2.95860731484178  8.000000000000000E-003  35.7797324205443  1764.24870466321  45  45  5.000000000000000E-002  1.00000000000000  21  4.750000000000000E-002  .102551009163754  .000000000000000  .472870804501588  21  2.364354022507940E-002  .102551009163754  4.827737310295250E-002

W       
total pair x-sec. at low E
  1.100000E-03  3.677779E-05
  1.392976E-03  2.087085E-03
  1.763984E-03  8.901560E-03
  2.233807E-03  2.084737E-02
  2.828764E-03  3.737969E-02
  3.582183E-03  5.776735E-02
  4.536268E-03  8.132225E-02
  5.744467E-03  .107453
  7.274460E-03  .135662
  9.211954E-03  .187016
  1.166548E-02  .229325
  1.477249E-02  .272408
  1.870703E-02  .315751
  2.368950E-02  .358791
  2.999900E-02  .400936
  3.798900E-02  .441519
  4.810706E-02  .479967
  6.091999E-02  .515860
  7.714555E-02  .548904
  9.769265E-02  .578953
  .123712  .605976
  .156662  .630027
  .198388  .651231
  .251227  .669763
  .318139  .685833
  .402873  .699665
  .510175  .711495
  .646056  .721554
  .818127  .730066
  1.03603  .737238
  1.31197  .743259
  1.66140  .748298
  2.10390  .752503
  2.66426  .756003
  3.37386  .758910
  4.27246  .761320
  5.41040  .763314
  6.85141  .764960
  8.67623  .766318
  10.9871  .767436
  13.9134  .768355
  17.6191  .769110
  22.3118  .769730
  28.2544  .770239
  35.7797  .770655

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

     .12301     .11917     .11649     .11443     .11277     .11138     .11022
     .10921     .10836     .10760     .10697     .10640     .10592     .10551
     .10516     .10487     .10465     .10446     .10433     .10429     .10425

     .19423     .18817     .18394     .18071     .17809     .17592     .17410
     .17254     .17118     .17003     .16902     .16816     .16741     .16677
     .16623     .16578     .16544     .16514     .16495     .16492     .16482

     .25050     .24275     .23739     .23328     .22998     .22726     .22497
     .22303     .22135     .21992     .21866     .21759     .21667     .21588
     .21523     .21468     .21424     .21391     .21369     .21356     .21350

     .29505     .28609     .27994     .27527     .27155     .26849     .26593
     .26376     .26190     .26032     .25895     .25778     .25677     .25593
     .25519     .25461     .25414     .25377     .25355     .25329     .25333

     .33042     .32067     .31406     .30909     .30516     .30196     .29931
     .29706     .29516     .29355     .29216     .29098     .28998     .28913
     .28842     .28783     .28736     .28700     .28673     .28658     .28655

     .35859     .34844     .34166     .33660     .33266     .32949     .32687
     .32468     .32285     .32130     .31998     .31886     .31791     .31711
     .31646     .31592     .31548     .31517     .31497     .31475     .31476

     .38118     .37092     .36418     .35926     .35544     .35241     .34994
     .34791     .34621     .34479     .34362     .34262     .34178     .34110
     .34053     .34005     .33970     .33942     .33925     .33915     .33908

     .39938     .38930     .38278     .37810     .37451     .37170     .36946
     .36766     .36615     .36492     .36392     .36310     .36242     .36185
     .36139     .36105     .36075     .36053     .36042     .36025     .36029

     .39670     .38630     .37995     .37540     .37197     .36927     .36707
     .36538     .36403     .36293     .36202     .36127     .36067     .36017
     .35977     .35944     .35919     .35902     .35889     .35878     .35881

     .41286     .40335     .39744     .39329     .39026     .38799     .38623
     .38484     .38377     .38293     .38225     .38173     .38132     .38101
     .38077     .38060     .38049     .38041     .38040     .38036     .38026

     .42606     .41724     .41188     .40827     .40568     .40378     .40238
     .40133     .40054     .39998     .39958     .39929     .39910     .39896
     .39890     .39890     .39887     .39891     .39892     .39896     .39888

     .43683     .42877     .42402     .42090     .41876     .41724     .41622
     .41550     .41503     .41476     .41463     .41461     .41464     .41472
     .41482     .41494     .41505     .41517     .41526     .41537     .41533

     .44574     .43849     .43434     .43173     .43003     .42895     .42828
     .42793     .42783     .42786     .42802     .42826     .42855     .42887
     .42917     .42949     .42974     .42995     .43014     .43025     .43019

     .45324     .44678     .44325     .44117     .43995     .43930     .43905
     .43910     .43934     .43972     .44019     .44073     .44127     .44183
     .44231     .44280     .44320     .44354     .44376     .44395     .44399

     .45960     .45396     .45108     .44956     .44884     .44867     .44888
     .44931     .44994     .45068     .45149     .45233     .45318     .45397
     .45471     .45537     .45594     .45642     .45674     .45694     .45702

     .46507     .46029     .45807     .45713     .45697     .45727     .45793
     .45881     .45984     .46095     .46212     .46328     .46440     .46548
     .46645     .46733     .46806     .46866     .46907     .46934     .46939

     .46985     .46592     .46439     .46405     .46443     .46523     .46634
     .46764     .46907     .47056     .47206     .47354     .47497     .47629
     .47747     .47853     .47944     .48017     .48068     .48096     .48112

     .47402     .47096     .47013     .47039     .47128     .47259     .47415
     .47585     .47768     .47953     .48136     .48314     .48485     .48642
     .48787     .48912     .49019     .49103     .49168     .49204     .49217

     .47771     .47552     .47536     .47619     .47760     .47937     .48135
     .48345     .48565     .48783     .49000     .49208     .49407     .49590
     .49754     .49902     .50024     .50121     .50189     .50233     .50250

     .48101     .47963     .48011     .48150     .48338     .48557     .48797
     .49046     .49300     .49550     .49799     .50036     .50260     .50467
     .50654     .50816     .50956     .51066     .51145     .51188     .51209

     .48392     .48336     .48445     .48633     .48866     .49126     .49402
     .49687     .49971     .50255     .50531     .50794     .51044     .51274
     .51479     .51661     .51815     .51938     .52024     .52076     .52094

     .48656     .48670     .48837     .49070     .49345     .49643     .49952
     .50269     .50586     .50896     .51200     .51489     .51759     .52011
     .52237     .52436     .52601     .52734     .52831     .52883     .52905

     .48889     .48972     .49188     .49466     .49778     .50109     .50452
     .50796     .51140     .51478     .51806     .52118     .52410     .52680
     .52923     .53136     .53314     .53458     .53560     .53628     .53643

     .49098     .49243     .49506     .49821     .50167     .50530     .50900
     .51271     .51640     .52003     .52351     .52684     .52997     .53283
     .53542     .53767     .53957     .54112     .54223     .54283     .54310

     .49285     .49486     .49789     .50140     .50516     .50906     .51301
     .51698     .52089     .52469     .52840     .53191     .53520     .53823
     .54097     .54336     .54538     .54699     .54812     .54880     .54908

     .49451     .49701     .50042     .50423     .50825     .51238     .51658
     .52076     .52485     .52888     .53274     .53642     .53987     .54305
     .54591     .54839     .55052     .55220     .55339     .55407     .55439

     .49598     .49893     .50266     .50674     .51099     .51536     .51973
     .52408     .52836     .53254     .53657     .54040     .54399     .54729
     .55025     .55286     .55504     .55676     .55803     .55879     .55908

     .49729     .50063     .50465     .50895     .51341     .51795     .52249
     .52702     .53145     .53578     .53993     .54388     .54758     .55100
     .55407     .55676     .55900     .56080     .56215     .56299     .56318

     .49845     .50213     .50639     .51090     .51553     .52022     .52492
     .52956     .53413     .53858     .54286     .54691     .55073     .55422
     .55737     .56012     .56247     .56431     .56566     .56651     .56675

     .49946     .50343     .50790     .51259     .51736     .52219     .52700
     .53179     .53646     .54102     .54538     .54954     .55343     .55702
     .56024     .56306     .56544     .56732     .56867     .56951     .56983

     .50035     .50457     .50921     .51405     .51897     .52391     .52883
     .53370     .53848     .54310     .54756     .55179     .55577     .55940
     .56269     .56556     .56798     .56993     .57133     .57217     .57247

     .50112     .50556     .51037     .51531     .52034     .52536     .53039
     .53533     .54018     .54489     .54943     .55371     .55775     .56147
     .56480     .56772     .57018     .57214     .57357     .57450     .57473

     .50180     .50642     .51135     .51640     .52152     .52662     .53171
     .53674     .54165     .54641     .55101     .55536     .55945     .56320
     .56659     .56954     .57205     .57402     .57548     .57632     .57665

     .50238     .50716     .51219     .51733     .52251     .52769     .53285
     .53792     .54287     .54770     .55235     .55676     .56088     .56467
     .56808     .57107     .57362     .57562     .57705     .57797     .57827

     .50290     .50780     .51292     .51812     .52336     .52860     .53380
     .53892     .54393     .54879     .55347     .55792     .56208     .56592
     .56935     .57239     .57494     .57694     .57845     .57929     .57964

     .50332     .50835     .51354     .51880     .52409     .52937     .53461
     .53976     .54481     .54972     .55443     .55891     .56309     .56696
     .57042     .57348     .57605     .57809     .57952     .58045     .58079

     .50371     .50881     .51406     .51937     .52469     .53002     .53530
     .54048     .54555     .55050     .55522     .55974     .56396     .56783
     .57133     .57440     .57696     .57902     .58051     .58143     .58175

     .50402     .50919     .51450     .51984     .52521     .53055     .53586
     .54109     .54619     .55114     .55592     .56043     .56466     .56856
     .57207     .57516     .57774     .57979     .58133     .58225     .58256

     .50430     .50953     .51487     .52025     .52565     .53101     .53634
     .54157     .54671     .55167     .55648     .56100     .56526     .56917
     .57270     .57578     .57839     .58045     .58199     .58291     .58323

     .50454     .50981     .51518     .52058     .52600     .53138     .53674
     .54200     .54715     .55212     .55694     .56147     .56575     .56968
     .57322     .57631     .57893     .58100     .58256     .58341     .58378

     .50472     .51004     .51544     .52086     .52629     .53171     .53707
     .54233     .54750     .55251     .55730     .56187     .56616     .57011
     .57366     .57676     .57938     .58143     .58297     .58390     .58425

     .50489     .51025     .51566     .52109     .52653     .53196     .53733
     .54263     .54778     .55281     .55763     .56220     .56649     .57043
     .57401     .57713     .57975     .58182     .58338     .58422     .58463

     .50504     .51040     .51584     .52128     .52674     .53218     .53756
     .54286     .54803     .55305     .55789     .56248     .56677     .57074
     .57429     .57742     .58003     .58214     .58363     .58455     .58494

     .50516     .51054     .51599     .52146     .52693     .53235     .53775
     .54306     .54824     .55326     .55812     .56269     .56700     .57097
     .57453     .57765     .58028     .58241     .58395     .58488     .58521


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     .53331

     .54532     .54532     .54531     .54528     .54525     .54518     .54510
     .54499     .54485     .54467     .54446     .54421     .54392     .54358
     .54320     .54277     .54229     .54175     .54116     .54051     .53979

     .55736     .55736     .55734     .55731     .55726     .55719     .55708
     .55694     .55676     .55654     .55627     .55595     .55558     .55516
     .55467     .55413     .55352     .55284     .55209     .55126     .55036

     .57368     .57367     .57366     .57362     .57356     .57346     .57332
     .57313     .57291     .57262     .57227     .57187     .57140     .57085
     .57023     .56953     .56875     .56787     .56690     .56584     .56468

     .59378     .59377     .59375     .59371     .59363     .59350     .59333
     .59309     .59279     .59244     .59199     .59147     .59087     .59018
     .58938     .58849     .58749     .58638     .58515     .58380     .58232

     .61707     .61706     .61703     .61698     .61687     .61671     .61650
     .61621     .61583     .61538     .61483     .61418     .61343     .61256
     .61157     .61045     .60921     .60782     .60628     .60460     .60274

     .64287     .64287     .64283     .64276     .64263     .64244     .64217
     .64182     .64137     .64081     .64014     .63935     .63843     .63737
     .63616     .63479     .63327     .63158     .62970     .62763     .62538

     .67049     .67049     .67045     .67036     .67021     .66998     .66966
     .66923     .66870     .66803     .66723     .66628     .66518     .66391
     .66248     .66084     .65902     .65699     .65475     .65230     .64960

     .69923     .69922     .69917     .69907     .69889     .69862     .69825
     .69775     .69712     .69635     .69541     .69431     .69302     .69153
     .68984     .68794     .68581     .68344     .68082     .67794     .67479

     .72838     .72838     .72832     .72821     .72800     .72769     .72726
     .72669     .72596     .72507     .72400     .72273     .72125     .71955
     .71761     .71544     .71299     .71027     .70727     .70398     .70037

     .75733     .75732     .75727     .75713     .75690     .75655     .75606
     .75543     .75461     .75360     .75239     .75096     .74929     .74737
     .74519     .74274     .73998     .73693     .73354     .72983     .72577

     .78551     .78550     .78544     .78529     .78504     .78464     .78410
     .78339     .78248     .78137     .78003     .77843     .77658     .77446
     .77204     .76931     .76626     .76287     .75913     .75501     .75051

     .81244     .81243     .81236     .81220     .81192     .81149     .81090
     .81012     .80913     .80791     .80643     .80469     .80267     .80035
     .79770     .79472     .79139     .78769     .78360     .77911     .77421

     .83774     .83773     .83765     .83748     .83718     .83671     .83608
     .83523     .83416     .83284     .83124     .82937     .82718     .82468
     .82182     .81861     .81502     .81103     .80664     .80181     .79653

     .86113     .86111     .86103     .86085     .86053     .86003     .85935
     .85844     .85730     .85589     .85419     .85218     .84986     .84718
     .84414     .84072     .83690     .83267     .82798     .82286     .81725

     .88241     .88239     .88231     .88211     .88177     .88125     .88053
     .87957     .87836     .87687     .87508     .87296     .87050     .86769
     .86449     .86088     .85687     .85241     .84751     .84212     .83624

     .90150     .90148     .90139     .90118     .90083     .90028     .89953
     .89852     .89725     .89569     .89382     .89161     .88905     .88611
     .88278     .87903     .87485     .87023     .86512     .85954     .85342

     .91836     .91835     .91826     .91804     .91767     .91711     .91632
     .91528     .91397     .91234     .91042     .90813     .90549     .90245
     .89902     .89516     .89086     .88609     .88086     .87511     .86883

     .93307     .93305     .93295     .93273     .93235     .93176     .93096
     .92989     .92854     .92689     .92491     .92257     .91986     .91676
     .91326     .90932     .90495     .90010     .89476     .88892     .88252

     .94571     .93655     .93616     .93559     .93470     .93351     .93217
     .93038     .92853     .92624     .92372     .92089     .91764     .91413
     .91029     .90605     .90134     .89624     .89080     .88486     .87841

     .95643     .94978     .94940     .94879     .94798     .94688     .94547
     .94391     .94196     .93983     .93735     .93453     .93146     .92802
     .92418     .91997     .91543     .91044     .90497     .89902     .89253

     .96541     .96057     .96022     .95964     .95881     .95777     .95650
     .95491     .95313     .95101     .94863     .94597     .94293     .93955
     .93589     .93181     .92731     .92237     .91697     .91112     .90475

     .97283     .96929     .96897     .96842     .96766     .96666     .96542
     .96396     .96222     .96024     .95796     .95536     .95248     .94926
     .94568     .94170     .93730     .93251     .92725     .92150     .91519

     .97889     .97629     .97597     .97546     .97476     .97384     .97268
     .97130     .96967     .96779     .96560     .96315     .96041     .95731
     .95383     .95002     .94579     .94112     .93599     .93033     .92415

     .98377     .98186     .98158     .98110     .98045     .97958     .97852
     .97722     .97570     .97391     .97189     .96957     .96693     .96398
     .96069     .95701     .95294     .94842     .94341     .93792     .93188

     .98766     .98623     .98600     .98556     .98495     .98417     .98317
     .98199     .98055     .97891     .97701     .97482     .97233     .96955
     .96641     .96290     .95897     .95462     .94980     .94448     .93860

     .99071     .98967     .98945     .98906     .98850     .98778     .98689
     .98578     .98447     .98295     .98116     .97913     .97681     .97417
     .97119     .96785     .96412     .95994     .95532     .95017     .94448

     .99309     .99233     .99211     .99177     .99127     .99063     .98980
     .98880     .98762     .98620     .98456     .98266     .98050     .97802
     .97522     .97206     .96851     .96452     .96008     .95513     .94964

     .99491     .99434     .99416     .99386     .99342     .99283     .99209
     .99118     .99010     .98881     .98730     .98555     .98354     .98123
     .97860     .97561     .97226     .96847     .96423     .95948     .95420

     .99629     .99587     .99572     .99545     .99506     .99454     .99387
     .99307     .99209     .99092     .98953     .98792     .98606     .98391
     .98145     .97865     .97547     .97188     .96785     .96333     .95825

     .99733     .99703     .99688     .99665     .99630     .99585     .99527
     .99454     .99366     .99260     .99134     .98985     .98814     .98615
     .98386     .98123     .97824     .97484     .97102     .96669     .96185

     .99809     .99787     .99775     .99755     .99725     .99685     .99634
     .99568     .99489     .99394     .99280     .99144     .98986     .98801
     .98588     .98342     .98062     .97741     .97378     .96966     .96501

     .99865     .99849     .99839     .99822     .99796     .99761     .99716
     .99658     .99588     .99501     .99398     .99274     .99128     .98958
     .98760     .98530     .98265     .97964     .97619     .97224     .96779

     .99906     .99895     .99886     .99870     .99849     .99819     .99779
     .99727     .99665     .99587     .99493     .99380     .99247     .99089
     .98905     .98690     .98442     .98155     .97825     .97449     .97019

     .99935     .99927     .99919     .99907     .99887     .99861     .99826
     .99782     .99726     .99656     .99570     .99468     .99345     .99198
     .99026     .98825     .98590     .98318     .98002     .97639     .97225

     .99956     .99949     .99943     .99932     .99917     .99894     .99863
     .99824     .99774     .99711     .99633     .99540     .99426     .99290
     .99130     .98940     .98715     .98455     .98153     .97802     .97397

     .99970     .99966     .99960     .99951     .99937     .99917     .99892
     .99856     .99812     .99756     .99684     .99599     .99494     .99367
     .99214     .99034     .98821     .98571     .98277     .97937     .97542

     .99980     .99976     .99973     .99965     .99953     .99937     .99914
     .99882     .99842     .99790     .99726     .99647     .99549     .99430
     .99285     .99113     .98907     .98664     .98379     .98047     .97659

     .99987     .99984     .99981     .99974     .99965     .99949     .99930
     .99902     .99865     .99820     .99760     .99685     .99594     .99481
     .99344     .99177     .98978     .98741     .98462     .98136     .97754

     .99991     .99989     .99986     .99981     .99972     .99960     .99942
     .99917     .99885     .99843     .99788     .99717     .99631     .99522
     .99389     .99228     .99034     .98802     .98529     .98207     .97830

     .99994     .99994     .99991     .99986     .99978     .99968     .99952
     .99930     .99901     .99861     .99809     .99743     .99659     .99556
     .99426     .99269     .99078     .98851     .98581     .98262     .97888

     .99996     .99996     .99994     .99990     .99983     .99974     .99959
     .99939     .99912     .99875     .99826     .99764     .99683     .99581
     .99456     .99301     .99114     .98888     .98619     .98304     .97933

     .99998     .99997     .99995     .99992     .99986     .99979     .99966
     .99948     .99922     .99887     .99840     .99779     .99701     .99602
     .99477     .99326     .99139     .98917     .98650     .98335     .97965

     .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
  1764.24870466321  25  2.500000000000000E-002  .100000000000000  .000000000000000  1.00000000000000  41  3.24655980724103  443159.238305188

W       
Pair total x-sec. with LPM
  1764.25  .772418
  2221.06  .772747
  2796.15  .773577
  3520.14  .773839
  4431.59  .771606
  5579.04  .767367
  7023.60  .759736
  8842.19  .748428
  11131.7  .733634
  14013.9  .714878
  17642.5  .692327
  22210.6  .666578
  27961.5  .637893
  35201.4  .606834
  44315.9  .574015
  55790.4  .540053
  70236.0  .505564
  88421.9  .471063
  111317.  .437055
  140139.  .403905
  176425.  .371982
  222106.  .341493
  279615.  .312610
  352014.  .285442
  443159.  .260066

Pair table with LPM
    1.00000     .99027     .98043     .97045     .96033     .95008     .93967
     .92915     .91846     .90763     .89664     .88552     .87423     .86280
     .85120     .83944     .82754     .81547     .80323     .79084     .77828
     .76557     .75270     .73968     .72651     .71318     .69972     .68611
     .67237     .65849     .64450     .63040     .61618     .60188     .58749
     .57302     .55850     .54392     .52930     .51466     .50000

    1.00000     .99020     .98026     .97021     .96001     .94968     .93922
     .92860     .91785     .90694     .89590     .88471     .87336     .86187
     .85021     .83840     .82644     .81432     .80202     .78953     .77685
     .76415     .75132     .73814     .72503     .71178     .69839     .68486
     .67096     .65722     .64335     .62938     .61530     .60112     .58686
     .57218     .55782     .54342     .52897     .51449     .50000

    1.00000     .99018     .98025     .97018     .95997     .94962     .93914
     .92852     .91775     .90684     .89579     .88457     .87321     .86170
     .84995     .83816     .82612     .81405     .80167     .78931     .77680
     .76414     .75114     .73821     .72512     .71189     .69852     .68470
     .67110     .65737     .64351     .62954     .61547     .60130     .58704
     .57270     .55830     .54342     .52897     .51450     .50000

    1.00000     .99018     .98025     .97016     .95995     .94961     .93912
     .92849     .91773     .90681     .89574     .88447     .87305     .86160
     .84988     .83814     .82626     .81406     .80189     .78957     .77709
     .76444     .75144     .73852     .72545     .71222     .69885     .68533
     .67167     .65787     .64364     .62965     .61554     .60134     .58704
     .57267     .55822     .54371     .52917     .51459     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92872     .91798     .90705     .89600     .88480     .87357     .86219
     .85056     .83891     .82708     .81510     .80283     .79057     .77813
     .76553     .75276     .73982     .72648     .71327     .69989     .68637
     .67270     .65888     .64492     .63085     .61665     .60234     .58794
     .57344     .55851     .54394     .52932     .51467     .50000

    1.00000     .99027     .98042     .97042     .96030     .95005     .93966
     .92908     .91840     .90760     .89674     .88564     .87452     .86323
     .85166     .84010     .82836     .81646     .80437     .79212     .77952
     .76694     .75421     .74128     .72818     .71490     .70146     .68785
     .67408     .66015     .64583     .63167     .61738     .60298     .58847
     .57388     .55920     .54446     .52967     .51484     .50000

    1.00000     .99036     .98060     .97073     .96070     .95055     .94022
     .92982     .91935     .90870     .89799     .88712     .87603     .86488
     .85355     .84205     .83024     .81843     .80642     .79421     .78184
     .76925     .75648     .74352     .73014     .71685     .70337     .68971
     .67588     .66188     .64772     .63341     .61897     .60440     .58971
     .57492     .56005     .54510     .53009     .51506     .50000

    1.00000     .99052     .98090     .97117     .96130     .95129     .94120
     .93099     .92074     .91024     .89973     .88903     .87818     .86703
     .85584     .84447     .83291     .82114     .80918     .79700     .78448
     .77192     .75917     .74621     .73304     .71968     .70611     .69234
     .67839     .66425     .64993     .63545     .62082     .60604     .59089
     .57592     .56085     .54571     .53051     .51526     .50000

    1.00000     .99070     .98129     .97175     .96206     .95232     .94248
     .93256     .92246     .91228     .90192     .89133     .88065     .86977
     .85870     .84742     .83593     .82412     .81223     .80013     .78780
     .77525     .76246     .74945     .73622     .72275     .70907     .69517
     .68086     .66659     .65213     .63748     .62266     .60769     .59259
     .57735     .56202     .54659     .53109     .51556     .50000

    1.00000     .99094     .98176     .97247     .96308     .95364     .94407
     .93443     .92463     .91460     .90449     .89416     .88364     .87292
     .86189     .85075     .83939     .82780     .81597     .80389     .79157
     .77900     .76620     .75312     .73968     .72616     .71240     .69840
     .68417     .66972     .65506     .64019     .62513     .60990     .59451
     .57898     .56334     .54759     .53176     .51590     .50000

    1.00000     .99122     .98235     .97337     .96432     .95519     .94599
     .93656     .92704     .91734     .90743     .89732     .88692     .87640
     .86562     .85461     .84336     .83184     .82008     .80804     .79563
     .78310     .77030     .75722     .74388     .73026     .71638     .70224
     .68784     .67319     .65831     .64319     .62787     .61235     .59665
     .58080     .56468     .54861     .53245     .51624     .50000

    1.00000     .99155     .98301     .97440     .96574     .95698     .94804
     .93899     .92974     .92028     .91056     .90069     .89057     .88021
     .86959     .85871     .84756     .83607     .82439     .81243     .80019
     .78767     .77483     .76171     .74829     .73457     .72055     .70626
     .69167     .67681     .66157     .64621     .63062     .61481     .59880
     .58262     .56629     .54983     .53328     .51666     .50000

    1.00000     .99192     .98374     .97555     .96728     .95885     .95029
     .94155     .93253     .92338     .91396     .90430     .89440     .88422
     .87370     .86298     .85198     .84069     .82911     .81721     .80500
     .79247     .77962     .76644     .75295     .73913     .72491     .71047
     .69571     .68065     .66530     .64967     .63378     .61763     .60126
     .58471     .56797     .55109     .53412     .51708     .50000

    1.00000     .99232     .98457     .97677     .96891     .96087     .95264
     .94419     .93554     .92664     .91749     .90806     .89831     .88834
     .87809     .86753     .85667     .84550     .83399     .82215     .80997
     .79746     .78454     .77134     .75779     .74389     .72964     .71505
     .70009     .68481     .66921     .65328     .63707     .62059     .60386
     .58689     .56975     .55246     .53504     .51754     .50000

    1.00000     .99273     .98542     .97808     .97059     .96293     .95504
     .94694     .93858     .92995     .92101     .91186     .90240     .89263
     .88256     .87217     .86144     .85038     .83897     .82716     .81504
     .80256     .78971     .77648     .76287     .74888     .73451     .71975
     .70462     .68912     .67324     .65705     .64052     .62369     .60658
     .58919     .57162     .55387     .53600     .51802     .50000

    1.00000     .99316     .98631     .97938     .97230     .96499     .95747
     .94968     .94163     .93325     .92464     .91572     .90649     .89692
     .88703     .87681     .86619     .85526     .84397     .83230     .82024
     .80779     .79494     .78168     .76803     .75396     .73946     .72457
     .70926     .69354     .67741     .66092     .64408     .62689     .60939
     .59162     .57360     .55536     .53699     .51852     .50000

    1.00000     .99360     .98721     .98069     .97398     .96705     .95986
     .95238     .94462     .93656     .92822     .91953     .91051     .90116
     .89144     .88139     .87098     .86018     .84899     .83741     .82542
     .81301     .80018     .78690     .77322     .75907     .74446     .72942
     .71393     .69801     .68165     .66488     .64768     .63013     .61225
     .59404     .57557     .55688     .53802     .51904     .50000

    1.00000     .99404     .98809     .98199     .97565     .96906     .96220
     .95502     .94758     .93980     .93169     .92326     .91445     .90531
     .89582     .88593     .87568     .86501     .85394     .84246     .83053
     .81818     .80537     .79209     .77836     .76415     .74947     .73429
     .71862     .70250     .68590     .66885     .65136     .63346     .61517
     .59654     .57758     .55841     .53905     .51956     .50000

    1.00000     .99448     .98895     .98322     .97726     .97102     .96445
     .95760     .95043     .94292     .93507     .92684     .91830     .90936
     .90005     .89034     .88024     .86971     .85877     .84737     .83553
     .82323     .81046     .79720     .78342     .76916     .75438     .73909
     .72329     .70697     .69014     .67278     .65498     .63673     .61805
     .59901     .57962     .55997     .54010     .52009     .50000

    1.00000     .99491     .98977     .98441     .97880     .97286     .96662
     .96006     .95316     .94588     .93829     .93032     .92197     .91325
     .90414     .89460     .88465     .87426     .86344     .85215     .84040
     .82815     .81541     .80216     .78838     .77409     .75924     .74381
     .72786     .71136     .69431     .67673     .65863     .64003     .62098
     .60151     .58168     .56154     .54113     .52061     .50000

    1.00000     .99531     .99056     .98556     .98025     .97463     .96868
     .96238     .95573     .94874     .94137     .93362     .92548     .91695
     .90801     .89864     .88885     .87861     .86791     .85671     .84505
     .83288     .82018     .80694     .79314     .77880     .76389     .74839
     .73230     .71563     .69838     .68054     .66214     .64322     .62377
     .60389     .58363     .56303     .54216     .52113     .50000

    1.00000     .99570     .99129     .98663     .98162     .97630     .97062
     .96458     .95818     .95141     .94427     .93673     .92881     .92046
     .91169     .90250     .89285     .88274     .87215     .86108     .84949
     .83738     .82473     .81152     .79774     .78336     .76839     .75280
     .73660     .71976     .70229     .68422     .66556     .64633     .62655
     .60629     .58559     .56453     .54318     .52164     .50000

    1.00000     .99607     .99200     .98760     .98290     .97784     .97240
     .96662     .96047     .95393     .94700     .93966     .93192     .92376
     .91517     .90612     .89663     .88665     .87618     .86520     .85371
     .84167     .82906     .81588     .80210     .78771     .77267     .75701
     .74070     .72373     .70610     .68782     .66890     .64936     .62925
     .60860     .58749     .56598     .54416     .52214     .50000

    1.00000     .99641     .99264     .98853     .98409     .97929     .97410
     .96854     .96261     .95628     .94953     .94241     .93484     .92686
     .91842     .90952     .90017     .89031     .87997     .86909     .85767
     .84571     .83315     .81998     .80622     .79182     .77677     .76104
     .74463     .72754     .70974     .69125     .67208     .65227     .63184
     .61083     .58932     .56735     .54509     .52260     .50000

    1.00000     .99673     .99323     .98939     .98519     .98061     .97565
     .97031     .96458     .95844     .95190     .94494     .93755     .92973
     .92144     .91268     .90347     .89373     .88349     .87270     .86138
     .84946     .83697     .82384     .81010     .79569     .78060     .76481
     .74832     .73110     .71315     .69447     .67508     .65496     .63424
     .61290     .59102     .56869     .54600     .52306     .50000


