# ************************************************ 
#     This table  has been made by using ../../Data/BaseM/Hegas 
#     with Bremsstrahlung formula: # 1
#     and  Pair creation  formula: # 1.
#     Tue Apr 20 21:04:26 GMT+0900 1999 by KASAHARA Katsuaki using
#     version epics.uv5.00  
# 
#name   Format    He gas
Hegas 	1
#
#  Elem	 rho(g/cm^3)	Gas/Solid(1/0)  refl.index Birks c

1         0.1786e-3		1          34.9   0 0 0
# 	Z	A  	N
	2	4.0026	1

 Excitation (Ionization) potential =  26.00 eV
 radation length=  534393.654703134 cm  95.4427067299797 g/cm^2
 <Aeff>=  4.00260000000000 <Zeff=>  2.00000000000000 <Z2/A>=   .999350422225553
 plasma energy=  2.722189315522490E-010 GeV no density=  2.687137397241792E+019 /cm^3
 <Z2eff=>  4.00000000000000 <Z/A>=  .499675211112777
Migdal s1=  4.740067042814653E-005
 Conversion factors:
 g/cm^2 to cm=  5599.10414333707
 mb to /(g/cm2)=  1.504556213461250E-004 mb to /cm=  2.687137397241793E-008 mb to /X0=  1.435989174401510E-002
 If a comound is specified as an Atom, use the
 following instead:   1.504556213461250E-004  2.687137397241793E-008  1.435989174401510E-002
 pi x Re**2 * N* Z /A *X0g  = 0.15 Z/A*X0g=  7.16464706137669
 media.A, Z, Z^2=  4.00260000000000  2.00000000000000  4.00000000000000

 **** Sternheimers consts
 a, b, c =  7.675011607235722E-002  20.4434423511072 -10.1196012136644
 x0, x1 =  1.67392027885210  4.00000000000000
 sa, xa =  .191450965549345  2.19704761854090
 minimum dEdx_restricted=  1.753162336615870E-003 GeV/(g/cm^2)  with Tcut=  1.000000000000000E-004 GeV

 **** photoelectric consts
b0, b1, b2=  1.00539452532994  1.86212219940567  2.01675227914600
fa, a, p=  1.08263836975596  5.109459999990850E-004  1.299629422515982E-006
l, ek=  7.93750000000000  5.440000000000000E-008

#-#-#-#-#-#-#-#-#-#-#-#-
 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

Hegas   
Seltzer Brems total X-sec. table upto E=  .100000000000000 GeV
  7.110000E-04  2.81125
  9.104920E-04  2.93974
  1.165957E-03  3.33694
  1.493101E-03  3.87940
  1.912034E-03  4.50133
  2.448512E-03  5.18250
  3.135514E-03  5.89995
  4.015274E-03  6.61687
  5.141878E-03  7.33031
  6.584583E-03  8.02945
  8.432082E-03  8.71303
  1.079795E-02  9.28521
  1.382763E-02  9.93002
  1.770738E-02  10.5586
  2.267571E-02  11.1708
  2.903805E-02  11.7712
  3.718552E-02  12.3538
  4.761902E-02  12.9071
  6.097994E-02  13.4213
  7.808965E-02  13.9079
  .100000  11.5424

Selzter Brems sampling table; log(v/vmin)/(1-u)
    2.43427    2.32744    2.24538    2.17928    2.12405    2.07680    2.03540
    1.99874    1.96601    1.93597    1.90846    1.88400    1.86157    1.84090
    1.82198    1.80454    1.78849    1.77360    1.75981    1.74699

    2.91459    2.78323    2.68420    2.60578    2.54084    2.48552    2.43711
    2.39546    2.35770    2.32347    2.29248    2.26449    2.23915    2.21616
    2.19524    2.17619    2.15873    2.14284    2.12814    2.11450

    3.27130    3.12462    3.01499    2.92841    2.85663    2.79717    2.74394
    2.69602    2.65348    2.61580    2.58241    2.55276    2.52628    2.50260
    2.48124    2.46199    2.44461    2.42873    2.41423    2.40112

    3.58951    3.42996    3.31127    3.21769    3.14237    3.07519    3.01582
    2.96426    2.91965    2.88093    2.84715    2.81752    2.79140    2.76820
    2.74757    2.72905    2.71248    2.69744    2.68394    2.67164

    3.89310    3.72446    3.59903    3.50187    3.42180    3.35264    3.29289
    3.24122    3.19649    3.15756    3.12356    3.09373    3.06741    3.04412
    3.02343    3.00499    2.98843    2.97358    2.96028    2.94812

    4.19013    4.01460    3.88356    3.78178    3.69606    3.62286    3.56055
    3.50748    3.46211    3.42317    3.38949    3.36028    3.33477    3.31235
    3.29265    3.27520    3.25966    3.24588    3.23355    3.22255

    4.48348    4.30293    4.16780    4.06096    3.97024    3.89366    3.82943
    3.77544    3.72987    3.69116    3.65805    3.62960    3.60499    3.58356
    3.56489    3.54846    3.53400    3.52133    3.51005    3.49996

    4.77795    4.59453    4.45585    4.34324    4.24738    4.16740    4.10112
    4.04617    4.00029    3.96177    3.92915    3.90138    3.87757    3.85709
    3.83931    3.82391    3.81047    3.79866    3.78830    3.77916

    5.07159    4.88600    4.74295    4.62299    4.52079    4.43640    4.36740
    4.31091    4.26430    4.22561    4.19317    4.16580    4.14258    4.12278
    4.10578    4.09113    4.07845    4.06755    4.05781    4.04951

    5.36350    5.17603    5.02903    4.90187    4.79316    4.70424    4.63245
    4.57437    4.52702    4.48810    4.45579    4.42884    4.40621    4.38701
    4.37071    4.35680    4.34485    4.33458    4.32569    4.31803

    5.65371    5.46450    5.31365    5.17898    5.06356    4.97013    4.89566
    4.83613    4.78815    4.74917    4.71716    4.69067    4.66863    4.65018
    4.63461    4.62143    4.61027    4.60073    4.59245    4.58545

    5.95295    5.76632    5.61751    5.48634    5.36942    5.26912    5.18574
    5.11748    5.06177    5.01627    4.97885    4.94802    4.92238    4.90104
    4.88317    4.86813    4.85540    4.84457    4.83538    4.82764

    6.23886    6.05038    5.89762    5.75978    5.63591    5.53045    5.44400
    5.37423    5.31807    5.27271    5.23588    5.20581    5.18114    5.16078
    5.14385    5.12981    5.11797    5.10805    5.09987    5.09266

    6.51836    6.32604    6.16750    6.02208    5.89196    5.78298    5.69521
    5.62547    5.57012    5.52593    5.49051    5.46187    5.43861    5.41953
    5.40394    5.39101    5.38031    5.37147    5.36408    5.35770

    6.79485    6.59884    6.43439    6.28146    6.14572    6.03410    5.94578
    5.87670    5.82257    5.77988    5.74598    5.71889    5.69709    5.67946
    5.66511    5.65339    5.64371    5.63581    5.62904    5.62367

    7.06731    6.86708    6.69618    6.53553    6.39468    6.28108    6.19282
    6.12479    6.07215    6.03110    5.99886    5.97337    5.95308    5.93678
    5.92367    5.91300    5.90438    5.89731    5.89153    5.88666

    7.33585    7.13111    6.95354    6.78566    6.64080    6.52636    6.43897
    6.37252    6.32174    6.28259    6.25215    6.22828    6.20949    6.19456
    6.18265    6.17310    6.16537    6.15916    6.15409    6.14988

    7.60201    7.39306    7.20926    7.03529    6.88795    6.77386    6.68811
    6.62378    6.57515    6.53808    6.50954    6.48740    6.47012    6.45654
    6.44582    6.43731    6.43045    6.42497    6.42043    6.41700

    7.86798    7.65576    7.46673    7.28838    7.14019    7.02756    6.94415
    6.88231    6.83606    6.80119    6.77460    6.75421    6.73843    6.72622
    6.71657    6.70908    6.70308    6.69832    6.69464    6.69149

    8.13294    7.91819    7.72494    7.54378    7.39614    7.28583    7.20522
    7.14615    7.10245    7.06981    7.04523    7.02655    7.01224    7.00128
    6.99274    6.98613    6.98098    6.97682    6.97364    6.97102

    8.70594    8.61157    8.55143    8.51168    8.48475    8.46619    8.45325
    8.44416    8.43771    8.43310    8.42982    8.42743    8.42569    8.42444
    8.42352    8.42280    8.42239    8.42204    8.42161    5.82351


Seltzer Brems sampling tbl in B; log(v/vmin)
   64.77581   64.59843   63.72023   60.48054   54.26388   46.53984   39.17522
   33.05031   28.21190   24.43414   21.44395   19.01285   16.98500   15.26321
   13.78728   12.51396   11.39618   10.40470    9.52363    8.74225    8.04882

  167.17709  166.72221  158.57137  135.44677  106.68143   82.59981   65.24376
   53.09130   44.43653   37.94313   32.80726   28.64595   25.19820   22.27492
   19.76479   17.61680   15.77975   14.20392   12.84679   11.67078   10.64490

  314.19772  311.53426  277.79556  211.04930  151.95031  112.12200   86.51739
   69.63925   57.76264   48.81076   41.71748   35.89871   31.07371   27.07549
   23.76283   21.00527   18.69033   16.73197   15.06051   13.62361   12.37804

  481.26688  472.71248  390.42811  269.67281  184.16497  132.73361  101.38668
   81.21490   66.99600   56.05658   47.29095   40.23870   34.56093   29.97177
   26.22875   23.13831   20.55861   18.38074   16.52916   14.94008   13.56556

  649.87585  631.96940  481.32700  309.77879  204.69011  145.35385  110.33411
   88.00481   72.08895   59.74223   50.03686   42.41551   36.38811   31.56012
   27.63765   24.40542   21.70650   19.42847   17.48954   15.82571   14.38584

  796.80133  766.49068  541.36221  332.83505  215.57164  151.70831  114.54930
   90.81785   73.76650   60.81375   50.85901   43.15019   37.09924   32.26267
   28.33186   25.08549   22.36922   20.07198   18.11031   16.42095   14.95467

  937.22694  878.74381  577.00407  344.41164  220.60349  154.22495  115.68765
   90.85263   73.28214   60.33581   50.56014   43.04137   37.14242   32.42044
   28.57246   25.38611   22.71209   20.44192   18.49599   16.81402   15.34927

 1061.82327  949.99859  586.41747  344.70140  219.87128  153.08360  114.01546
   88.69144   71.23222   58.69214   49.37359   42.23747   36.62607   32.11848
   28.43020   25.36404   22.77798   20.57248   18.67448   17.02827   15.58995

 1185.63359  990.08096  578.00294  337.13764  214.77549  149.36682  110.46826
   85.45752   68.54754   56.59226   47.78993   41.07823   35.80613   31.56189
   28.07341   25.15864   22.68564   20.56525   18.73124   17.13431   15.73480

 1310.43706 1003.35622  555.08017  323.50295  206.86580  143.72952  105.79385
   81.62122   65.50623   54.22741   45.98551   39.72095   34.80332   30.83693
   27.56664   24.82024   22.47844   20.45954   18.70444   17.16919   15.81973

 1434.86288  996.49899  524.04929  306.18161  197.09166  136.78774  100.42841
   77.46218   62.28621   51.74134   44.06604   38.25118   33.69143   30.00888
   26.96366   24.39588   22.19548   20.28791   18.62074   17.15587   15.86346

 1542.45252 1002.89017  518.33811  288.39276  185.82221  129.02818   94.66691
   73.09883   58.82762   48.93725   41.81247   36.45726   32.28309   28.91854
   26.13294   23.77398   21.73882   19.96044   18.39456   17.01046   15.78400

 1662.38601  982.32488  489.87432  269.93518  173.87292  120.82184   88.86335
   68.84896   55.63390   46.47813   39.88596   34.95064   31.11278   28.02101
   25.45623   23.27813   21.38964   19.73038   18.26046   16.95443   15.79208

 1778.87709  955.59722  461.32282  253.21262  162.62006  112.55504   83.01164
   64.59421   52.50535   44.12581   38.09131   33.56765   30.04591   27.20281
   24.83942   22.82730   21.07700   19.53243   18.15801   16.93071   15.83347

 1892.09825  927.10774  433.18282  236.93069  152.09750  104.87086   77.59585
   60.64851   49.57044   41.88657   36.36035   32.21899   29.00041   26.40164
   24.23848   22.39312   20.78081   19.35030   18.06915   16.91817   15.88290

 2002.80167  897.24915  406.17863  221.71116  142.43647   97.91270   72.55050
   56.96607   46.82719   39.80210   34.74382   30.95727   28.02501   25.65675
   23.68408   21.99731   20.51883   19.19868   18.00790   16.92996   15.95437

 2109.67904  862.97727  382.34792  207.82226  132.26334   91.03557   67.64158
   53.47271   44.23213   37.83749   33.21630   29.76877   27.10753   24.96217
   23.17683   21.64532   20.29620   19.08275   17.97844   16.97002   16.04982

 2210.76139  830.21262  359.56377  194.17865  121.49649   84.13259   62.95170
   50.15027   41.78689   35.98213   31.77343   28.64873   26.24212   24.31276
   22.70798   21.32786   20.10410   18.99254   17.97014   17.02663   16.15805

 2304.80037  801.63149  336.27399  180.27097  111.44244   77.54178   58.58581
   47.05535   39.47540   34.22212   30.40608   27.57852   25.41438   23.68871
   22.25789   21.02347   19.91909   18.90556   17.96175   17.08038   16.26116

 2393.26727  770.36888  313.31840  166.69681  102.65730   71.61854   54.58096
   44.19746   37.32785   32.58017   29.12405   26.57373   24.63787   23.10553
   21.83810   20.74370   19.75441   18.83429   17.96433   17.14132   16.36805

 1989.29348  270.36233  167.44387   99.89278   66.99542   49.49995   39.17611
   32.57512   28.08063   24.87497   22.51102   20.72889   19.35882   18.28277
   17.41281   16.67806   16.02459   15.41527   14.82784   14.25533   13.69863


 constant for Brems sampling table at low energies
  119.082589285517  1.000000000000000E-004  1.000000000000000E-002 -2.00000000000000  635.498314929035  119.082589285517  .100000000000000  1.00000000000000  40  4.736842105263160E-002  .104508929979684  .104508929979684  .000000000000000  .562341325190349  2.811706625951750E-002  40  20  21

Hegas   
Brems total X-sec. table upto E=  119.082589285517 GeV
  1.000000E-02  4.88418
  1.272064E-02  5.38282
  1.618147E-02  5.92244
  2.058386E-02  6.46294
  2.618398E-02  7.00736
  3.330770E-02  7.53958
  4.236952E-02  8.06792
  5.389674E-02  8.58071
  6.856010E-02  9.07842
  8.721283E-02  9.56060
  .110940  8.54446
  .141123  8.90494
  .179518  9.26129
  .228358  9.61394
  .290486  9.96334
  .369517  10.3099
  .470049  10.6539
  .597932  10.9958
  .760608  11.3357
  .967542  11.6741
  1.23077  12.0111
  1.56562  12.3469
  1.99157  12.6817
  2.53341  13.0157
  3.22266  13.3490
  4.09943  13.6817
  5.21473  14.0138
  6.63348  14.3456
  8.43820  14.6771
  10.7339  15.0082
  13.6543  15.3391
  17.3691  15.6698
  22.0946  16.0003
  28.1057  16.3307
  35.7523  16.6610
  45.4792  16.9912
  57.8524  17.3213
  73.5920  17.6514
  93.6137  17.9814
  119.083  18.1066

Brems sampling table at low E for Small Eg
    3.87507    3.74147    3.63671    3.54922    3.47299    3.40474    3.33886
    3.27241    3.20832    3.14876    3.09463    3.04605    3.00265    2.96396
    2.92942    2.89850    2.87079    2.84584    2.82346    2.80308

    4.14413    4.01161    3.90772    3.82034    3.74489    3.67707    3.61211
    3.54852    3.48660    3.42739    3.37185    3.32066    3.27391    3.23157
    3.19329    3.15885    3.12775    3.09973    3.07459    3.05152

    4.40413    4.26907    4.16179    4.07067    3.99103    3.91727    3.84503
    3.77391    3.70529    3.64087    3.58165    3.52810    3.48005    3.43722
    3.39904    3.36500    3.33463    3.30761    3.28325    3.26154

    4.66229    4.52442    4.41353    4.31848    4.23424    4.15354    4.07343
    3.99492    3.92051    3.85213    3.79062    3.73599    3.68779    3.64541
    3.60808    3.57515    3.54603    3.52040    3.49737    3.47711

    4.91983    4.77893    4.66405    4.56482    4.47493    4.38650    4.29815
    4.21273    4.13349    4.06231    3.99960    3.94488    3.89730    3.85593
    3.81993    3.78851    3.76098    3.73676    3.71537    3.69660

    5.17307    5.02803    4.90832    4.80415    4.70744    4.61048    4.51418
    4.42298    4.34059    4.26824    4.20569    4.15199    4.10586    4.06622
    4.03201    4.00245    3.97668    3.95426    3.93469    3.91753

    5.42427    5.27480    5.15020    5.04083    4.93667    4.83131    4.72814
    4.63298    4.54910    4.47700    4.41576    4.36381    4.31973    4.28226
    4.25019    4.22268    4.19896    4.17841    4.16059    4.14509

    5.67519    5.52153    5.39239    5.27782    5.16614    5.05317    4.94483
    4.84753    4.76379    4.69311    4.63397    4.58441    4.54282    4.50770
    4.47792    4.45263    4.43099    4.41229    4.39640    4.38248

    5.92504    5.76736    5.63386    5.51431    5.39556    5.27640    5.16494
    5.06740    4.98520    4.91697    4.86056    4.81384    4.77494    4.74248
    4.71512    4.69205    4.67251    4.65577    4.64169    4.62935

    6.17302    6.01142    5.87394    5.74954    5.62441    5.50067    5.38800
    5.29178    5.21217    5.14706    5.09384    5.05016    5.01416    4.98430
    4.95949    4.93866    4.92115    4.90643    4.89370    4.88307

    6.60304    6.50781    6.44082    6.39242    6.35668    6.32986    6.30946
    6.29378    6.28164    6.27221    6.26476    6.25892    6.25433    6.25062
    6.24774    6.24538    6.24342    6.24197    6.24087    6.23967

    6.85422    6.75913    6.69279    6.64530    6.61054    6.58470    6.56525
    6.55046    6.53912    6.53038    6.52361    6.51829    6.51417    6.51091
    6.50833    6.50624    6.50460    6.50327    6.50217    6.50142

    7.10344    7.00841    6.94266    6.89605    6.86226    6.83738    6.81884
    6.80487    6.79429    6.78620    6.78001    6.77521    6.77146    6.76858
    6.76636    6.76456    6.76317    6.76200    6.76126    6.76040

    7.35080    7.25576    7.19063    7.14487    7.11202    7.08808    7.07041
    7.05724    7.04735    7.03988    7.03419    7.02987    7.02652    7.02400
    7.02194    7.02043    7.01922    7.01824    7.01751    7.01689

    7.59644    7.50137    7.43685    7.39195    7.36005    7.33701    7.32018
    7.30776    7.29855    7.29163    7.28644    7.28253    7.27954    7.27723
    7.27549    7.27415    7.27316    7.27235    7.27174    7.27116

    7.84051    7.74542    7.68153    7.63750    7.60653    7.58438    7.56836
    7.55667    7.54807    7.54169    7.53695    7.53341    7.53073    7.52873
    7.52719    7.52599    7.52510    7.52442    7.52396    7.52346

    8.08316    7.98808    7.92486    7.88172    7.85167    7.83041    7.81516
    7.80417    7.79613    7.79026    7.78594    7.78275    7.78037    7.77857
    7.77720    7.77619    7.77540    7.77487    7.77442    7.77404

    8.32454    8.22953    8.16702    8.12478    8.09565    8.07524    8.06077
    8.05041    8.04295    8.03755    8.03360    8.03071    8.02859    8.02702
    8.02584    8.02496    8.02427    8.02378    8.02346    8.02310

    8.56482    8.46994    8.40817    8.36687    8.33865    8.31909    8.30534
    8.29561    8.28869    8.28370    8.28013    8.27751    8.27561    8.27422
    8.27320    8.27244    8.27191    8.27136    8.27108    8.27086

    8.80414    8.70948    8.64848    8.60812    8.58081    8.56208    8.54905
    8.53993    8.53348    8.52892    8.52564    8.52330    8.52162    8.52036
    8.51947    8.51886    8.51828    8.51792    8.51762    8.51750

    9.04266    8.94826    8.88812    8.84870    8.82230    8.80435    8.79203
    8.78347    8.77751    8.77329    8.77032    8.76823    8.76671    8.76564
    8.76487    8.76427    8.76385    8.76364    8.76332    8.76316

    9.28050    9.18646    9.12718    9.08872    9.06323    9.04608    9.03439
    9.02638    9.02085    9.01700    9.01431    9.01243    9.01108    9.01013
    9.00946    9.00895    9.00865    9.00841    9.00829    9.00801

    9.51777    9.42415    9.36579    9.32831    9.30371    9.28731    9.27629
    9.26879    9.26366    9.26012    9.25771    9.25600    9.25479    9.25399
    9.25337    9.25296    9.25262    9.25247    9.25230    9.25215

    9.75458    9.66150    9.60405    9.56754    9.54383    9.52820    9.51777
    9.51075    9.50601    9.50278    9.50059    9.49906    9.49801    9.49729
    9.49675    9.49639    9.49614    9.49592    9.49573    9.49571

    9.99106    9.89854    9.84207    9.80653    9.78369    9.76877    9.75892
    9.75237    9.74799    9.74504    9.74304    9.74169    9.74075    9.74012
    9.73968    9.73934    9.73912    9.73903    9.73890    9.73877

   10.22725   10.13537   10.07989   10.04532   10.02333   10.00910    9.99982
    9.99372    9.98967    9.98697    9.98517    9.98396    9.98312    9.98257
    9.98217    9.98192    9.98169    9.98155    9.98151    9.98142

   10.46323   10.37205   10.31757   10.28398   10.26281   10.24928   10.24053
   10.23482   10.23111   10.22863   10.22701   10.22590   10.22519   10.22469
   10.22434   10.22414   10.22399   10.22384   10.22369   10.22372

   10.69906   10.60864   10.55518   10.52255   10.50218   10.48930   10.48106
   10.47575   10.47231   10.47007   10.46860   10.46762   10.46697   10.46657
   10.46624   10.46606   10.46589   10.46575   10.46590   10.46572

   10.93478   10.84516   10.79274   10.76105   10.74148   10.72922   10.72149
   10.71653   10.71336   10.71132   10.70999   10.70913   10.70855   10.70818
   10.70794   10.70774   10.70763   10.70756   10.70749   10.70747

   11.17045   11.08167   11.03028   10.99954   10.98075   10.96910   10.96180
   10.95720   10.95428   10.95243   10.95123   10.95046   10.94995   10.94961
   10.94938   10.94928   10.94918   10.94905   10.94919   10.94902

   11.40607   11.31817   11.26783   11.23801   11.21998   11.20892   11.20206
   11.19778   11.19511   11.19342   11.19234   11.19163   11.19118   11.19089
   11.19072   11.19063   11.19051   11.19044   11.19059   11.19040

   11.64171   11.55474   11.50541   11.47651   11.45921   11.44871   11.44227
   11.43830   11.43582   11.43428   11.43333   11.43272   11.43230   11.43205
   11.43190   11.43181   11.43176   11.43167   11.60283   11.43163

   11.87736   11.79133   11.74307   11.71507   11.69848   11.68850   11.68247
   11.67877   11.67649   11.67511   11.67421   11.67368   11.67332   11.67311
   11.67298   11.67290   11.67282   10.06489    7.08375   11.67275

   12.11306   12.02801   11.98078   11.95366   11.93776   11.92830   11.92263
   11.91920   11.91711   11.91586   11.91507   11.91456   11.91429   11.91411
   11.91394   11.91387   11.91384   10.34046    7.34115   11.91377

   12.34883   12.26477   12.21858   12.19233   12.17707   12.16811   12.16279
   12.15961   12.15769   12.15656   12.15586   12.15543   12.15516   12.15498
   12.15488   12.15481   12.15481    8.11086   13.18297   12.15472

   12.58467   12.50164   12.45647   12.43105   12.41645   12.40796   12.40297
   12.40001   12.39827   12.39721   12.39657   12.39621   12.39596   12.39582
   12.39575   12.39568   12.39568    8.34790   13.59419   12.39560

   12.82059   12.73859   12.69445   12.66986   12.65589   12.64782   12.64315
   12.64041   12.63881   12.63785   12.63731   12.63697   12.63676   12.63664
   12.63654   12.63650   12.63649    8.58765   14.01134   12.63644

   13.05661   12.97565   12.93251   12.90874   12.89536   12.88774   12.88337
   12.88081   12.87934   12.87850   12.87798   12.87770   12.87750   12.87742
   12.87731   12.87729    9.04907   11.46723    8.43099   12.87723

   13.29273   13.21282   13.17069   13.14769   13.13490   13.12768   13.12358
   13.12122   13.11989   13.11910   13.11865   13.11840   13.11823   13.11815
   13.11807   13.11802    9.30470   11.81887    8.78339   13.11799

   13.52926   13.45041   13.40926   13.38704   13.37478   13.36796   13.36412
   13.36194   13.36070   13.36002   13.35960   13.35937   13.35925   13.35913
   13.35912   13.35908    9.56302   12.17526    9.14655   13.35903


Brems sampling tbl at low E for large Eg
  805.32362  578.07408  318.96068  194.04654  128.13210   90.73332   67.22184
   51.79279   41.37078   34.10286   28.85591   24.93347   21.91520   19.52407
   17.58140   15.96477   14.59369   13.41160   12.37862   11.46503   10.65141

  896.61451  618.43044  330.27759  190.62431  123.77415   87.39097   64.62190
   49.78960   39.86106   32.94266   27.94190   24.21738   21.36770   19.11973
   17.29655   15.78056   14.49285   13.37929   12.40066   11.53048   10.75076

  990.23440  627.90056  318.45450  182.88068  118.66109   83.43723   61.57720
   47.56625   38.23267   31.76724   27.09116   23.61327   20.94643   18.83841
   17.12495   15.69454   14.47594   13.41903   12.48686   11.65467   10.90649

 1084.69802  632.77223  305.70094  174.94327  113.34333   79.41920   58.56552
   45.38373   36.64076   30.59884   26.23403   22.98464   20.49311   18.52454
   16.92263   15.58416   14.44048   13.44559   12.56412   11.77368   11.05893

 1179.65235  631.94292  292.34438  166.96061  108.16712   75.56310   55.60423
   43.23300   35.05116   29.42486   25.36310   22.33575   20.01623   18.18562
   16.69689   15.45115   14.38403   13.45381   12.62627   11.88008   11.20175

 1270.97255  625.63157  279.36950  159.26538  102.87681   71.72894   52.68551
   41.13209   33.51815   28.29912   24.53705   21.72458   19.57447   17.87914
   16.50169   15.34771   14.35779   13.49186   12.71733   12.01481   11.37147

 1360.52969  612.34048  267.63601  152.34642   96.82496   67.22113   49.62816
   38.96370   31.97989   27.18749   23.71629   21.11579   19.13209   17.57127
   16.30602   15.24742   14.33795   13.53806   12.81793   12.15912   11.55037

 1449.38182  602.75377  255.45697  144.61677   90.41735   62.64141   46.64738
   36.89648   30.50540   26.10289   22.90966   20.51572   18.69133   17.26295
   16.10802   15.14326   14.31429   13.58030   12.91436   12.29883   11.72457

 1535.71334  589.08920  243.28732  136.41188   84.51508   58.38347   43.83863
   34.94122   29.10145   25.05754   22.13302   19.93542   18.26514   16.96464
   15.91835   15.04662   14.29738   13.62926   13.01681   12.44376   11.90280

 1619.20961  572.50435  230.96974  127.94073   78.91807   54.64195   41.29643
   33.14938   27.80459   24.08982   21.41428   19.40283   17.87835   16.69998
   15.75882   14.97730   14.30428   13.69944   13.13768   12.60418   12.09351

  217.08364  203.05685  130.90346   79.11598   53.09894   39.11650   30.82590
   25.52094   21.90813   19.32007   17.40986   15.96326   14.84766   13.97513
   13.28079   12.71376   12.23227   11.80435   11.40520   11.02031   10.64226

  227.23233  208.43382  126.36084   74.89547   50.18748   37.10222   29.40079
   24.46523   21.09675   18.69678   16.92908   15.59602   14.57934   13.79196
   13.17260   12.67118   12.24740   11.86717   11.50719   11.15288   10.79797

  237.14102  212.27871  121.14376   70.70417   47.40212   35.21742   28.05663
   23.47344   20.34680   18.12300   16.48811   15.26787   14.34706   13.64384
   13.09783   12.66016   12.29017   11.95529   11.63122   11.30393   10.96900

  246.84072  214.59226  115.45647   66.61860   44.76370   33.43157   26.79783
   22.54806   19.65373   17.59216   16.09272   14.98281   14.15492   13.53289
   13.05742   12.68097   12.36207   12.06863   11.77646   11.47327   11.15540

  256.35983  215.18453  109.50299   62.68670   42.28466   31.78919   25.62697
   21.69053   19.01240   17.11629   15.74332   14.74113   14.00564   13.46112
   13.05362   12.73376   12.46244   12.20638   11.94286   11.66000   11.35575

  265.72389  214.05618  103.46324   58.94678   39.96834   30.25248   24.54488
   20.90135   18.42919   16.68800   15.44260   14.54644   13.89809   13.42867
   13.08451   12.81818   12.59024   12.36776   12.12901   11.86280   11.56933

  274.95562  211.39853   97.44534   55.42047   37.81497   28.82160   23.55168
   20.18062   17.90419   16.31497   15.19311   14.39705   13.83235   13.43473
   13.15021   12.93279   12.74397   12.55129   12.33349   12.08053   11.79489

  284.07492  207.02143   91.55722   52.11748   35.82100   27.49516   22.64671
   19.52802   17.43720   15.99708   14.99231   14.29297   13.80845   13.47753
   13.24808   13.07614   12.92253   12.75549   12.55459   12.31205   12.03130

  293.09911  201.30683   85.88280   49.03801   33.97907   26.30941   21.80954
   18.94279   17.03386   15.73408   14.84252   14.23410   13.82512   13.55618
   13.37680   13.24568   13.12316   12.97818   12.79086   12.55531   12.27690

  302.04319  194.44590   80.47010   46.18456   32.28253   25.18318   21.03898
   18.41403   16.68778   15.52197   14.74117   14.21867   13.87990   13.66711
   13.53443   13.43996   13.34475   13.21785   13.04085   12.80937   12.53092

  310.92003  186.62978   75.34318   43.54543   30.72249   24.19129   20.35216
   17.96126   16.39831   15.36797   14.68545   14.24309   13.96904   13.80943
   13.71897   13.65696   13.58491   13.47264   13.30252   13.07236   12.79185

  319.74069  178.04953   70.53797   41.11362   29.29076   23.25195   19.74757
   17.56312   16.17108   15.26041   14.67277   14.30558   14.09131   13.97956
   13.92708   13.89361   13.84131   13.74038   13.57442   13.34334   13.05853

  328.51459  169.08690   66.04265   38.87501   27.97841   22.40072   19.20441
   17.23921   15.99340   15.20277   14.70290   14.40429   14.24418   14.17475
   14.15605   14.14788   14.11238   14.01950   13.85504   13.62063   13.33016

  337.24966  159.74212   61.86921   36.82256   26.77948   21.67440   18.74044
   16.97857   15.87699   15.19099   14.77067   14.53570   14.42394   14.39325
   14.40528   14.41881   14.39610   14.30843   14.14312   13.90366   13.60571

  345.95255  150.58759   58.01769   34.93978   25.68726   20.99178   18.35442
   16.77027   15.80940   15.22110   14.87603   14.69457   14.62816   14.63240
   14.67073   14.70278   14.69054   14.60565   14.43716   14.19078   13.88439

  354.62877  141.24195   54.45235   33.21490   24.69727   20.39025   18.02646
   16.62411   15.78430   15.28915   15.01136   14.88093   14.85439   14.88949
   14.95179   14.99881   14.99409   14.90989   14.73616   14.48140   14.16553

  363.28288  132.27756   51.18512   31.63850   23.80504   19.90719   17.75563
   16.52933   15.80747   15.39118   15.17406   15.09129   15.09891   15.16278
   15.24509   15.30542   15.30604   15.21956   15.03913   14.77470   14.44827

  371.91870  123.69448   48.18023   30.19878   23.00684   19.46264   17.56024
   16.48554   15.87266   15.52707   15.36408   15.32213   15.36176   15.44954
   15.54999   15.62051   15.62391   15.53409   15.34531   15.07009   14.73250

  380.53940  115.49276   45.41383   28.88633   22.30192   19.09551   17.42114
   16.49270   15.96772   15.69308   15.57643   15.57006   15.63805   15.74900
   15.86382   15.94259   15.94740   15.85221   15.65398   15.36697   15.01755

  389.14762  107.67245   42.89787   27.69642   21.68580   18.84317   17.33740
   16.54001   16.09846   15.88140   15.80854   15.83508   15.92778   16.05745
   16.18596   16.27120   16.27529   16.17329   15.96436   15.66494   15.30307

  397.74561  100.42432   40.59655   26.62199   21.15698   18.62659   17.30882
   16.61711   16.25880   16.09588   16.05788   16.11371   16.22852   16.37499
   16.51505   16.60531   16.60678   16.49706   16.27592   15.96357   15.58893

  406.33522   93.55765   38.48603   25.65832   20.71099   18.44392   17.31558
   16.74414   16.44238   16.32491   16.32191   16.40247   16.53905   16.70076
   16.84975   16.94334   16.94109   16.82220   16.58876   16.26247   15.87458

  414.91800   87.26318   36.55439   24.80069   20.34409   18.37208   17.37578
   16.88976   16.65508   16.57217   16.60050   16.70304   16.85682   17.03195
   17.19011   17.28479   17.27781   17.14873   16.90175   16.56142   16.16026

  423.49523   81.35020   34.80161   24.04440   20.05255   18.29189   17.46990
   17.06398   16.87852   16.83765   16.88859   17.01197   17.18188   17.36955
   17.53403   17.62971   17.61656   17.47599   17.21492   16.85999   16.44534

  432.06798   76.00944   33.20385   23.38943   19.83114   18.31886   17.59674
   17.26618   17.12446   17.11341   17.18605   17.32740   17.51295   17.71169
   17.88224   17.97645   17.95648   17.80365   17.52803   17.15819   16.72995

  440.63711   71.05016   31.76112   22.82871   19.67463   18.37242   17.75539
   17.48557   17.38052   17.39556   17.49284   17.65109   17.84874   18.05744
   18.23263   18.32562   18.29673   18.13141   17.84080   17.45582   17.01377

  449.20333   66.47237   30.44954   22.35754   19.57781   18.45043   17.94482
   17.72160   17.65245   17.69149   17.80624   17.97940   18.18921   18.40678
   18.58590   18.67551   18.63818   18.45888   18.15294   17.75286   17.29697

  457.76722   62.27606   29.26914   21.97355   19.53546   18.55076   18.14503
   17.97376   17.93389   17.99343   18.12367   18.31235   18.53436   18.75876
   18.94063   19.02673   18.97953   18.78610   18.46446   18.04885   17.57918

  466.32924   58.46124   28.21989   21.66732   19.54234   18.71048   18.37390
   18.23114   18.22449   18.30498   18.45004   18.64799   18.88158   19.11337
   19.29680   19.37869   19.32077   19.11305   18.77506   18.34402   17.86058

   18.10853   18.02453   18.10932   18.11483   18.12566   18.13021   18.18897
   18.26518   18.37208   18.51583   18.70788   18.94048   19.19721   19.44523
   19.63626   19.71762   19.65214   19.43208   19.07953   18.63417   18.13816


 constant for Brems sampling table at high energies
  6.354983149290351E-003  635.498314929035  2.80311440332749  50  5.000000000000000E-002  .100000000000000  50479425.4667836  5.000000000000000E-002  .200000000000000  1.00000000000000  17  .000000000000000  .668740304976422  16  15  4.458268699842813E-002  50  7.500000000000000E-002  3006868.27776572  4.00000000000000

Hegas   
Brems total X-sec. table with C.S+LPM upto E=  50479425.4667837 GeV
  635.498  14.7490
  800.045  14.9145
  1007.20  15.2234
  1267.99  15.5323
  1596.30  15.8411
  2009.62  16.1487
  2529.96  16.4591
  3185.04  16.7716
  4009.72  17.0757
  5047.94  17.3626
  6354.98  17.6201
  8000.45  17.8361
  10072.0  18.0032
  12679.9  18.1174
  15963.0  18.1781
  20096.2  18.1870
  25299.6  18.1479
  31850.4  18.0639
  40097.2  17.9427
  50479.4  17.7887
  63549.8  17.6078
  80004.5  17.4024
  100720.  17.1774
  126799.  16.9362
  159630.  16.6821
  200962.  16.4177
  252996.  16.1449
  318504.  15.8638
  400972.  15.5781
  504794.  15.2879
  635498.  14.9950
  800045.  14.6982
  1.007197E+06  14.3986
  1.267986E+06  14.0970
  1.596300E+06  13.7940
  2.009622E+06  13.4902
  2.529964E+06  13.1857
  3.185036E+06  12.8790
  4.009723E+06  12.5728
  5.047943E+06  12.2662
  6.354983E+06  11.9603
  8.000450E+06  11.6530
  1.007197E+07  11.3451
  1.267986E+07  11.0370
  1.596300E+07  10.7289
  2.009622E+07  10.4212
  2.529964E+07  10.1138
  3.185036E+07  9.80677
  4.009723E+07  9.49887
  5.047942E+07  9.19134

Brems with LPM sampling tbl for small Eg
     .20498     .14891     .10902     .08031     .05949     .04433     .03323
     .02508     .01906     .01460     .00997     .01018     .00557     .00617
     .00349     .00220     .00298

     .20284     .14689     .10720     .07871     .05813     .04318     .03227
     .02428     .01841     .01407     .00962     .00983     .00541     .00601
     .00343     .00219     .00307

     .20021     .14455     .10517     .07699     .05668     .04198     .03129
     .02348     .01775     .01354     .00928     .00948     .00525     .00584
     .00336     .00217     .00301

     .19796     .14255     .10344     .07553     .05546     .04097     .03046
     .02280     .01721     .01310     .00900     .00920     .00512     .00571
     .00332     .00218     .00298

     .19619     .14098     .10209     .07439     .05452     .04019     .02983
     .02229     .01680     .01277     .00879     .00900     .00504     .00563
     .00332     .00221     .00299

     .19488     .13983     .10110     .07355     .05383     .03963     .02937
     .02193     .01651     .01255     .00866     .00887     .00500     .00559
     .00334     .00226     .00303

     .19402     .13907     .10046     .07302     .05338     .03927     .02908
     .02170     .01634     .01242     .00859     .00881     .00500     .00561
     .00340     .00234     .00309

     .19357     .13868     .10012     .07274     .05316     .03909     .02895
     .02160     .01626     .01237     .00858     .00881     .00504     .00566
     .00348     .00245     .00318

     .19357     .13869     .10013     .07275     .05318     .03912     .02898
     .02164     .01630     .01242     .00863     .00887     .00511     .00575
     .00359     .00258     .00329

     .19398     .13905     .10045     .07303     .05341     .03932     .02915
     .02179     .01644     .01255     .00874     .00899     .00522     .00589
     .00373     .00274     .00342

     .19477     .13975     .10106     .07355     .05386     .03969     .02947
     .02206     .01668     .01276     .00891     .00918     .00536     .00606
     .00390     .00294     .00358

     .19590     .14075     .10193     .07429     .05448     .04022     .02991
     .02244     .01700     .01304     .00913     .00941     .00553     .00627
     .00409     .00315     .00376

     .19733     .14203     .10304     .07523     .05528     .04089     .03047
     .02291     .01740     .01339     .00939     .00969     .00573     .00651
     .00431     .00340     .00396

     .19905     .14356     .10437     .07637     .05624     .04169     .03115
     .02348     .01788     .01380     .00970     .01001     .00596     .00678
     .00455     .00367     .00418

     .20105     .14535     .10592     .07770     .05736     .04264     .03194
     .02414     .01845     .01429     .01006     .01039     .00622     .00708
     .00481     .00397     .00442

     .20332     .14737     .10768     .07921     .05864     .04371     .03284
     .02490     .01909     .01484     .01046     .01082     .00651     .00742
     .00510     .00429     .00469

     .20574     .14954     .10958     .08084     .06002     .04488     .03382
     .02573     .01979     .01544     .01090     .01128     .00681     .00779
     .00540     .00463     .00499

     .20842     .15195     .11169     .08266     .06157     .04619     .03492
     .02666     .02058     .01612     .01140     .01180     .00716     .00819
     .00573     .00500     .00531

     .21129     .15453     .11396     .08462     .06324     .04760     .03612
     .02767     .02144     .01686     .01194     .01236     .00753     .00862
     .00608     .00540     .00565

     .21428     .15723     .11634     .08667     .06500     .04910     .03739
     .02875     .02236     .01765     .01251     .01296     .00792     .00908
     .00645     .00581     .00603

     .21748     .16012     .11889     .08889     .06691     .05073     .03877
     .02993     .02337     .01852     .01496     .01089     .01174     .00760
     .00979     .00915     .00643

     .22082     .16315     .12158     .09124     .06893     .05246     .04025
     .03118     .02445     .01946     .01579     .01150     .01241     .00807
     .01040     .00981     .00686

     .22429     .16632     .12440     .09370     .07106     .05428     .04181
     .03252     .02560     .02045     .01668     .01217     .01313     .00856
     .01105     .01050     .00733

     .22790     .16962     .12734     .09628     .07330     .05622     .04347
     .03395     .02683     .02152     .01764     .01288     .01390     .00909
     .01174     .01123     .00783

     .23165     .17305     .13042     .09900     .07566     .05826     .04523
     .03547     .02815     .02267     .01866     .01364     .01473     .00966
     .01248     .01201     .00837

     .23551     .17660     .13361     .10181     .07813     .06040     .04708
     .03707     .02955     .02390     .01976     .01674     .01035     .01191
     .00871     .00829     .00895

     .23950     .18028     .13693     .10476     .08071     .06265     .04904
     .03877     .03103     .02520     .02093     .01780     .01354     .01560
     .01150     .01110     .00957

     .24360     .18408     .14037     .10783     .08341     .06501     .05110
     .04057     .03261     .02659     .02219     .01893     .01442     .01662
     .01227     .01191     .01023

     .24777     .18796     .14389     .11097     .08619     .06745     .05324
     .04244     .03426     .02808     .02353     .02015     .01536     .01770
     .01310     .01276     .01094

     .25211     .19200     .14757     .11428     .08913     .07004     .05551
     .04444     .03602     .02964     .02495     .02144     .01635     .01885
     .01398     .01367     .01170

     .25656     .19616     .15138     .11771     .09219     .07275     .05790
     .04655     .03790     .03134     .02646     .02282     .01741     .02008
     .01491     .01462     .01251

     .26105     .20038     .15525     .12121     .09532     .07553     .06037
     .04874     .03984     .03308     .02808     .02430     .01855     .02139
     .01591     .01564     .01338

     .26571     .20476     .15930     .12488     .09862     .07847     .06298
     .05107     .04191     .03498     .02980     .02587     .02282     .01857
     .01380     .01356     .01430

     .27047     .20926     .16346     .12868     .10204     .08154     .06572
     .05352     .04410     .03698     .03162     .02754     .02436     .01983
     .01476     .01453     .01529

     .27534     .21388     .16774     .13259     .10558     .08473     .06858
     .05609     .04641     .03909     .03356     .02932     .02600     .02117
     .01578     .01557     .01635

     .28030     .21860     .17214     .13664     .10926     .08805     .07157
     .05878     .04885     .04132     .03561     .03122     .02775     .02261
     .01686     .01667     .01748

     .28537     .22344     .17667     .14080     .11306     .09150     .07470
     .06161     .05143     .04370     .03780     .03324     .02962     .02414
     .01801     .01784     .01869

     .29054     .22839     .18132     .14511     .11701     .09509     .07796
     .06457     .05413     .04619     .04012     .03538     .03161     .02853
     .02131     .02115     .01997

     .29585     .23348     .18612     .14957     .12111     .09884     .08138
     .06769     .05699     .04885     .04258     .03766     .03373     .03050
     .02796     .02781     .02134

     .30126     .23870     .19105     .15416     .12535     .10274     .08494
     .07096     .06003     .05167     .04519     .04009     .03598     .03260
     .02989     .02976     .02281

     .30677     .24404     .19611     .15890     .12975     .10679     .08867
     .07436     .06322     .05465     .04796     .04267     .03839     .03485
     .03196     .03183     .02437

     .31243     .24953     .20134     .16382     .13432     .11102     .09258
     .07799     .06658     .05778     .05089     .04540     .04094     .03723
     .03416     .03404     .02603

     .31823     .25518     .20674     .16891     .13908     .11544     .09668
     .08176     .07012     .06109     .05399     .04830     .04366     .03977
     .03649     .03639     .02779

     .32408     .26089     .21222     .17410     .14395     .11998     .10090
     .08565     .07388     .06462     .05729     .05139     .04655     .04249
     .03896     .03887     .02968

     .33013     .26681     .21792     .17951     .14905     .12476     .10537
     .08989     .07780     .06832     .06076     .05465     .04962     .04537
     .04167     .04158     .03168

     .33631     .27289     .22379     .18511     .15434     .12974     .11004
     .09425     .08193     .07222     .06444     .05811     .05287     .04844
     .04455     .04447     .03381

     .34262     .27911     .22982     .19088     .15982     .13491     .11491
     .09892     .08637     .07634     .06833     .06178     .05633     .05169
     .04762     .03357     .03607

     .34897     .28541     .23594     .19676     .16542     .14023     .11988
     .10370     .09090     .08072     .07246     .06569     .06002     .05517
     .05089     .03590     .03849

     .35554     .29193     .24230     .20290     .17129     .14581     .12519
     .10877     .09573     .08531     .07681     .06980     .06391     .05886
     .05437     .03836     .04105

     .36225     .29861     .24884     .20923     .17737     .15162     .13069
     .11410     .10082     .09015     .08141     .07416     .06805     .06277
     .05807     .04099     .04377


Brems with LPM smp tbl; (sqrt(v)-sqrt(vmin)/(1-u)
   14.51727   14.52946   14.52173   14.54884   14.58856   14.68614   14.85700
   15.11285   15.43476   15.74413   15.90674   15.80496   15.43518   14.89107
   14.28456   13.69779

   14.74752   14.74072   14.75202   14.78580   14.81597   14.92455   15.09918
   15.36065   15.69026   16.00309   16.16057   16.04465   15.65689   15.09634
   14.47711   13.88159

   14.97778   14.98215   14.98231   15.02278   15.05865   15.15663   15.33839
   15.60870   15.94609   16.26251   16.41401   16.28344   15.87780   15.30083
   14.66915   14.06493

   15.20804   15.19340   15.21260   15.21189   15.28621   15.39520   15.58081
   15.85689   16.20115   16.52101   16.66663   16.52156   16.09792   15.50465
   14.86053   14.24799

   15.43829   15.43483   15.44290   15.44887   15.51370   15.62747   15.82027
   16.10707   16.45757   16.77992   16.91930   16.75890   16.31717   15.70775
   15.05143   14.43062

   15.66855   15.67625   15.67319   15.68587   15.75646   15.86604   16.06285
   16.35561   16.71428   17.03927   17.17155   16.99565   16.53555   15.91022
   15.24177   14.61283

   15.89881   15.88750   15.90349   15.92288   15.98400   16.09842   16.30565
   16.60440   16.97027   17.29772   17.42299   17.23155   16.75328   16.11190
   15.43168   14.79478

   16.12753   16.12892   16.13378   16.15990   16.21157   16.33719   16.54538
   16.85166   17.22557   17.55528   17.67263   17.46521   16.96881   16.31168
   15.61973   14.97518

   16.35952   16.37035   16.36597   16.39730   16.45454   16.57599   16.78832
   17.10252   17.48424   17.81591   17.92503   17.70152   17.18656   16.51371
   15.81004   15.15779

   16.59198   16.58159   16.59816   16.63472   16.68228   16.81493   17.03141
   17.35534   17.74319   18.07696   18.17748   17.93755   17.40406   16.71533
   16.00029   15.34051

   16.82335   16.82301   16.82846   16.87177   16.92519   17.04747   17.27462
   17.60662   18.00143   18.33642   18.42865   18.17167   17.61972   16.91553
   16.18920   15.52199

   17.04654   17.03425   17.05311   17.05983   17.13736   17.28013   17.51173
   17.84952   18.25069   18.58697   18.67023   18.39691   17.82726   17.10808
   16.37093   15.69685

   17.25758   17.24549   17.26454   17.29317   17.36388   17.49336   17.73330
   18.07893   18.48686   18.82389   18.89862   18.60930   18.02271   17.28967
   16.54244   15.86194

   17.45271   17.45673   17.45898   17.47527   17.55894   17.69374   17.93936
   18.28960   18.70471   19.04246   19.10915   18.80509   18.20299   17.45704
   16.70075   16.01442

   17.62532   17.63780   17.63265   17.65328   17.72218   17.87478   18.12051
   18.47819   18.89793   19.23583   19.29478   18.97794   18.36203   17.60487
   16.84054   16.14908

   17.77188   17.75851   17.77802   17.82570   17.88365   18.02341   18.27355
   18.63769   19.06238   19.39994   19.45278   19.12445   18.49685   17.73007
   16.95908   16.26335

   17.89425   17.90940   17.90073   17.94575   17.99802   18.15275   18.40480
   18.77149   19.19893   19.53742   19.58432   19.24650   18.60913   17.83447
   17.05787   16.35868

   17.98365   17.96975   17.99135   18.01155   18.09523   18.24334   18.49859
   18.86936   19.29939   19.63738   19.68020   19.33553   18.69112   17.91064
   17.13000   16.42832

   18.04281   18.03011   18.04987   18.07102   18.14460   18.30165   18.56117
   18.93290   19.36573   19.70389   19.74355   19.39439   18.74521   17.96107
   17.17773   16.47432

   18.07565   18.09046   18.08196   18.12527   18.17704   18.33398   18.59556
   18.96897   19.40196   19.74014   19.77897   19.42712   18.77537   17.98893
   17.20420   16.49988

   18.07698   18.09046   18.08385   18.12564   18.19244   18.34029   18.59547
   18.97067   19.40404   19.74216   19.78029   19.42839   18.77655   17.99012
   17.20527   16.50092

   18.05151   18.06029   18.05931   18.07289   18.16047   18.30815   18.57057
   18.94323   19.37502   19.71328   19.75274   19.40308   18.75318   17.96841
   17.18472   16.48108

   18.00129   17.99993   18.00834   18.01492   18.11157   18.26273   18.51735
   18.88824   19.31907   19.65684   19.69904   19.35322   18.70728   17.92569
   17.14426   16.44203

   17.92849   17.93958   17.93472   17.95247   18.03070   18.18518   18.43923
   18.80758   19.23732   19.57571   19.62106   19.28068   18.64058   17.86370
   17.08553   16.38536

   17.83414   17.84905   17.84033   17.88592   17.93327   18.08815   18.33921
   18.70636   19.13169   19.46968   19.51971   19.18664   18.55396   17.78320
   17.00931   16.31190

   17.72236   17.72834   17.72895   17.76812   17.81962   17.97180   18.22363
   18.58453   19.00649   19.34504   19.39964   19.07505   18.45133   17.68781
   16.91904   16.22474

   17.59364   17.60764   17.60058   17.64696   17.68964   17.84243   18.08614
   18.44392   18.86281   19.20036   19.26096   18.94636   18.33291   17.57772
   16.81488   16.12442

   17.45028   17.45675   17.45711   17.47492   17.55884   17.69371   17.93623
   18.28792   18.70266   19.03976   19.10639   18.80267   18.20074   17.45499
   16.69882   16.01249

   17.29715   17.30587   17.30420   17.34892   17.39680   17.53856   17.77386
   18.12176   18.53127   18.86798   18.94107   18.64914   18.05934   17.32358
   16.57465   15.89288

   17.13028   17.12481   17.13619   17.17205   17.23395   17.36408   17.59909
   17.94025   18.34454   18.68106   18.76093   18.48120   17.90494   17.18021
   16.43906   15.76238

   16.95358   16.94375   16.95874   16.99332   17.05526   17.18314   17.41188
   17.74861   18.14664   18.48232   18.56969   18.30322   17.74094   17.02794
   16.29531   15.62408

   16.77230   16.76268   16.77752   16.81385   16.86109   16.99588   17.22167
   17.55022   17.94490   18.27922   18.37324   18.12000   17.57225   16.87141
   16.14751   15.48200

   16.58119   16.58162   16.58687   16.63252   16.66634   16.80209   17.02212
   17.34339   17.73087   18.06436   18.16576   17.92649   17.39395   16.70600
   15.99152   15.33200

   16.38424   16.37039   16.39055   16.40219   16.47137   16.60191   16.81331
   17.12993   17.51096   17.84318   17.95185   17.72656   17.20975   16.53518
   15.83029   15.17723

   16.18251   16.18933   16.18857   16.21864   16.27596   16.38891   16.60151
   16.91147   17.28615   17.61701   17.73238   17.52120   17.02051   16.35957
   15.66491   15.01852

   15.97684   15.97809   15.98282   15.98648   16.06519   16.18233   16.38662
   16.68799   17.05748   17.38583   17.50834   17.31128   16.82685   16.18018
   15.49589   14.85640

   15.76782   15.76685   15.77330   15.80145   15.85409   15.96932   16.16560
   16.46303   16.82386   17.15106   17.27971   17.09751   16.62956   15.99727
   15.32376   14.69131

   15.55586   15.55561   15.56189   15.56819   15.64301   15.75004   15.94473
   16.23307   16.58854   16.91264   17.04792   16.87999   16.42872   15.81123
   15.14874   14.52371

   15.34048   15.34438   15.34482   15.38169   15.41624   15.53069   15.71768
   15.99990   16.34833   16.66999   16.81212   16.65815   16.22408   15.62156
   14.97039   14.35306

   15.12318   15.13314   15.12776   15.14733   15.20486   15.30505   15.49078
   15.76692   16.10735   16.42569   16.57353   16.43391   16.01685   15.42969
   14.79003   14.18058

   14.90428   14.89173   14.90881   14.91261   14.97813   15.07949   15.26088
   15.53071   15.86361   16.17990   16.33275   16.20733   15.80737   15.23565
   14.60786   14.00649

   14.68274   14.68049   14.68797   14.72539   14.75121   14.85389   15.03104
   15.29122   15.61811   15.93047   16.08886   15.97727   15.59457   15.03868
   14.42299   13.82994

   14.45907   14.46925   14.46336   14.48957   14.52419   14.62829   14.79818
   15.05021   15.36981   15.67884   15.84235   15.74442   15.37908   14.83904
   14.23579   13.65126

   14.23721   14.22784   14.24064   14.25413   14.29731   14.40280   14.56544
   14.81112   15.12387   15.42893   15.59769   15.51255   15.16437   14.64037
   14.04954   13.47364

   14.01167   14.01661   14.01604   14.01834   14.07034   14.17100   14.32974
   14.56883   14.87414   15.17552   15.34814   15.27636   14.94538   14.43759
   13.85964   13.29272

   13.78514   13.77519   13.78955   13.78219   13.84328   13.93921   14.09413
   14.32672   14.62366   14.92052   15.09733   15.03836   14.72455   14.23318
   13.66820   13.11051

   13.55807   13.56396   13.56118   13.59352   13.61604   13.70739   13.85549
   14.08138   14.37252   14.66537   14.84528   14.79897   14.50232   14.02748
   13.47571   12.92737

   13.33345   13.32255   13.33659   13.35776   13.38915   13.47577   13.62320
   13.84132   14.12362   14.41253   14.59597   14.56147   14.28165   13.82322
   13.28462   12.74583

   13.10587   13.11131   13.11011   13.12164   13.16217   13.24416   13.38482
   13.59809   13.87305   14.15687   14.34273   14.32017   14.05711   13.61539
   13.09031   12.56127

   12.87810   12.86990   12.88175   12.88516   12.93511   13.01256   13.14652
   13.35332   13.62177   13.90102   14.08918   14.07790   13.83161   13.40649
   12.89521   12.37613


 constant for Pair  sampling table at low energies
  1.100000000000000E-003 -2.95860731484178  8.000000000000000E-003  119.082589285517  190649496.080627  50  50  5.000000000000000E-002  1.00000000000000  21  4.750000000000000E-002  .102743991511214  .000000000000000  .472870804501588  21  2.364354022507940E-002  .102743991511214  4.579100515701830E-002

Hegas   
total pair x-sec. at low E
  1.100000E-03  3.817092E-05
  1.393595E-03  2.174410E-03
  1.765553E-03  9.275631E-03
  2.236787E-03  2.172126E-02
  2.833796E-03  3.894090E-02
  3.590151E-03  6.017131E-02
  4.548379E-03  8.469505E-02
  5.762363E-03  .111895
  7.300366E-03  .141256
  9.248869E-03  .172490
  1.171744E-02  .205351
  1.484488E-02  .239044
  1.880705E-02  .273376
  2.382674E-02  .308183
  3.018621E-02  .343308
  3.824305E-02  .378577
  4.845031E-02  .413763
  6.138193E-02  .448568
  7.776506E-02  .482613
  9.852093E-02  .515474
  .124817  .546722
  .158131  .575983
  .200337  .602973
  .253808  .627517
  .321550  .649551
  .407373  .669104
  .516103  .686278
  .653853  .701230
  .828370  .714145
  1.04947  .725227
  1.32957  .734679
  1.68444  .742699
  2.13403  .749475
  2.70361  .755176
  3.42522  .759956
  4.33943  .763952
  5.49764  .767283
  6.96499  .770053
  8.82398  .772351
  11.1791  .774253
  14.1629  .775826
  17.9431  .777123
  22.7321  .778191
  28.7995  .779069
  36.4862  .779790
  46.2245  .780382
  58.5621  .780867
  74.1926  .781265
  93.9949  .781590
  119.083  .781855

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

     .12316     .11932     .11663     .11457     .11290     .11152     .11036
     .10934     .10849     .10773     .10710     .10653     .10605     .10564
     .10529     .10500     .10478     .10459     .10446     .10442     .10438

     .19447     .18840     .18416     .18093     .17830     .17614     .17431
     .17275     .17140     .17023     .16922     .16837     .16761     .16697
     .16644     .16598     .16564     .16534     .16515     .16512     .16502

     .25079     .24302     .23765     .23354     .23024     .22753     .22524
     .22328     .22160     .22016     .21892     .21784     .21693     .21615
     .21548     .21492     .21448     .21415     .21393     .21380     .21374

     .29535     .28638     .28022     .27555     .27182     .26877     .26620
     .26404     .26218     .26059     .25923     .25804     .25705     .25619
     .25548     .25490     .25439     .25403     .25380     .25375     .25360

     .33071     .32095     .31434     .30937     .30544     .30224     .29959
     .29736     .29545     .29383     .29244     .29126     .29027     .28939
     .28868     .28809     .28761     .28730     .28704     .28684     .28684

     .35888     .34873     .34193     .33689     .33295     .32978     .32716
     .32497     .32314     .32159     .32027     .31914     .31822     .31742
     .31675     .31622     .31579     .31545     .31521     .31512     .31506

     .38144     .37120     .36446     .35953     .35572     .35268     .35022
     .34819     .34650     .34509     .34390     .34291     .34207     .34138
     .34082     .34036     .33999     .33973     .33955     .33938     .33938

     .39963     .38956     .38304     .37835     .37478     .37197     .36973
     .36791     .36643     .36521     .36422     .36338     .36269     .36214
     .36169     .36134     .36106     .36083     .36070     .36060     .36059

     .41433     .40471     .39868     .39447     .39133     .38894     .38709
     .38561     .38445     .38353     .38279     .38222     .38176     .38139
     .38112     .38091     .38073     .38063     .38057     .38054     .38049

     .42692     .41791     .41239     .40858     .40582     .40375     .40220
     .40102     .40011     .39943     .39893     .39854     .39827     .39808
     .39794     .39785     .39781     .39778     .39772     .39768     .39773

     .43720     .42884     .42381     .42042     .41801     .41629     .41504
     .41413     .41350     .41305     .41277     .41260     .41250     .41248
     .41248     .41250     .41255     .41261     .41268     .41271     .41267

     .44568     .43796     .43342     .43043     .42840     .42698     .42604
     .42540     .42503     .42481     .42474     .42476     .42485     .42498
     .42513     .42528     .42543     .42557     .42564     .42567     .42573

     .45273     .44565     .44157     .43897     .43729     .43619     .43553
     .43516     .43502     .43505     .43518     .43540     .43566     .43597
     .43625     .43651     .43676     .43698     .43709     .43713     .43724

     .45863     .45216     .44853     .44633     .44497     .44418     .44381
     .44369     .44378     .44404     .44438     .44479     .44522     .44567
     .44611     .44650     .44682     .44710     .44735     .44746     .44748

     .46361     .45773     .45455     .45271     .45170     .45121     .45108
     .45124     .45156     .45205     .45259     .45318     .45381     .45441
     .45498     .45549     .45591     .45629     .45651     .45671     .45674

     .46786     .46256     .45982     .45835     .45765     .45747     .45762
     .45804     .45860     .45931     .46007     .46085     .46164     .46240
     .46311     .46375     .46428     .46475     .46505     .46517     .46531

     .47154     .46681     .46451     .46340     .46304     .46315     .46360
     .46427     .46511     .46604     .46703     .46803     .46901     .46994
     .47079     .47158     .47223     .47275     .47316     .47328     .47344

     .47474     .47059     .46873     .46802     .46800     .46845     .46919
     .47017     .47128     .47246     .47369     .47492     .47609     .47721
     .47823     .47915     .47990     .48052     .48095     .48131     .48135

     .47758     .47402     .47263     .47234     .47270     .47350     .47458
     .47584     .47724     .47871     .48019     .48165     .48307     .48439
     .48559     .48663     .48753     .48822     .48874     .48902     .48920

     .48013     .47718     .47629     .47644     .47720     .47837     .47979
     .48140     .48310     .48486     .48662     .48833     .48997     .49149
     .49287     .49408     .49514     .49594     .49651     .49695     .49703

     .48247     .48014     .47978     .48038     .48156     .48311     .48491
     .48686     .48889     .49094     .49297     .49494     .49680     .49854
     .50014     .50151     .50270     .50361     .50432     .50467     .50484

     .48462     .48296     .48312     .48418     .48580     .48774     .48991
     .49219     .49454     .49690     .49921     .50144     .50356     .50550
     .50727     .50882     .51014     .51117     .51196     .51240     .51255

     .48660     .48562     .48632     .48787     .48990     .49223     .49474
     .49738     .50003     .50268     .50526     .50774     .51010     .51226
     .51422     .51593     .51737     .51855     .51939     .51983     .52005

     .48847     .48814     .48937     .49137     .49382     .49652     .49939
     .50233     .50529     .50823     .51107     .51380     .51638     .51874
     .52087     .52277     .52433     .52561     .52648     .52700     .52724

     .49019     .49052     .49228     .49472     .49754     .50059     .50378
     .50701     .51027     .51346     .51656     .51952     .52229     .52486
     .52718     .52918     .53090     .53226     .53324     .53376     .53403

     .49181     .49276     .49500     .49785     .50103     .50440     .50789
     .51140     .51490     .51834     .52166     .52483     .52780     .53056
     .53301     .53520     .53699     .53842     .53953     .54013     .54036

     .49332     .49485     .49752     .50073     .50425     .50791     .51168
     .51543     .51918     .52281     .52637     .52972     .53287     .53578
     .53839     .54068     .54262     .54415     .54529     .54597     .54616

     .49471     .49677     .49986     .50341     .50720     .51113     .51512
     .51911     .52306     .52692     .53063     .53417     .53748     .54054
     .54328     .54567     .54770     .54931     .55044     .55113     .55143

     .49600     .49854     .50199     .50582     .50988     .51405     .51824
     .52243     .52657     .53059     .53446     .53816     .54161     .54480
     .54767     .55018     .55229     .55394     .55516     .55592     .55617

     .49717     .50015     .50391     .50801     .51227     .51663     .52103
     .52540     .52967     .53385     .53789     .54172     .54529     .54858
     .55156     .55414     .55634     .55807     .55937     .56005     .56037

     .49823     .50160     .50563     .50994     .51442     .51894     .52349
     .52800     .53244     .53677     .54090     .54485     .54853     .55193
     .55499     .55767     .55992     .56169     .56299     .56383     .56407

     .49920     .50289     .50716     .51167     .51631     .52098     .52567
     .53032     .53486     .53929     .54355     .54760     .55137     .55487
     .55800     .56072     .56304     .56487     .56619     .56695     .56731

     .50005     .50404     .50851     .51319     .51795     .52277     .52758
     .53232     .53697     .54150     .54584     .54997     .55384     .55740
     .56060     .56341     .56575     .56765     .56898     .56990     .57012

     .50081     .50505     .50970     .51452     .51940     .52433     .52923
     .53407     .53881     .54342     .54783     .55203     .55597     .55960
     .56284     .56571     .56808     .57000     .57143     .57219     .57253

     .50150     .50594     .51073     .51566     .52065     .52567     .53064
     .53556     .54037     .54506     .54953     .55380     .55779     .56147
     .56478     .56767     .57008     .57202     .57347     .57432     .57461

     .50211     .50671     .51163     .51665     .52172     .52681     .53186
     .53685     .54171     .54646     .55100     .55531     .55936     .56308
     .56641     .56934     .57180     .57376     .57519     .57611     .57638

     .50262     .50739     .51240     .51750     .52265     .52779     .53291
     .53793     .54285     .54764     .55223     .55660     .56069     .56443
     .56782     .57077     .57326     .57523     .57666     .57758     .57788

     .50307     .50796     .51306     .51824     .52343     .52862     .53378
     .53886     .54383     .54865     .55329     .55768     .56181     .56558
     .56899     .57198     .57449     .57647     .57796     .57888     .57915

     .50347     .50846     .51362     .51886     .52410     .52934     .53453
     .53964     .54465     .54951     .55416     .55861     .56275     .56655
     .57000     .57299     .57550     .57756     .57902     .57986     .58021

     .50382     .50888     .51409     .51938     .52467     .52995     .53518
     .54032     .54536     .55023     .55491     .55937     .56354     .56737
     .57081     .57383     .57640     .57843     .57991     .58084     .58111

     .50411     .50924     .51451     .51982     .52514     .53045     .53569
     .54087     .54593     .55082     .55553     .56002     .56419     .56806
     .57152     .57455     .57713     .57913     .58064     .58149     .58186

     .50436     .50955     .51486     .52020     .52555     .53086     .53613
     .54135     .54641     .55132     .55605     .56056     .56476     .56862
     .57211     .57517     .57774     .57978     .58129     .58214     .58249

     .50457     .50981     .51515     .52051     .52588     .53121     .53651
     .54172     .54682     .55176     .55651     .56099     .56523     .56909
     .57260     .57565     .57823     .58027     .58178     .58262     .58301

     .50475     .51004     .51538     .52078     .52616     .53152     .53683
     .54205     .54715     .55212     .55687     .56137     .56559     .56948
     .57301     .57604     .57863     .58070     .58219     .58311     .58344

     .50490     .51021     .51558     .52099     .52639     .53175     .53709
     .54232     .54744     .55239     .55716     .56168     .56592     .56981
     .57333     .57640     .57900     .58103     .58251     .58344     .58380

     .50503     .51036     .51576     .52118     .52659     .53197     .53730
     .54255     .54766     .55262     .55742     .56193     .56618     .57008
     .57360     .57669     .57928     .58135     .58284     .58376     .58409

     .50515     .51050     .51589     .52131     .52675     .53214     .53748
     .54272     .54785     .55283     .55761     .56215     .56640     .57032
     .57382     .57692     .57952     .58157     .58308     .58392     .58434

     .50523     .51060     .51602     .52145     .52687     .53227     .53762
     .54287     .54801     .55300     .55777     .56233     .56657     .57048
     .57401     .57711     .57969     .58178     .58324     .58424     .58454

     .50531     .51069     .51611     .52154     .52698     .53238     .53774
     .54300     .54815     .55312     .55790     .56246     .56673     .57064
     .57417     .57724     .57985     .58194     .58340     .58441     .58470


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

     .53769     .53769     .53768     .53766     .53763     .53758     .53751
     .53741     .53730     .53715     .53698     .53677     .53653     .53625
     .53593     .53557     .53518     .53472     .53424     .53369     .53310

     .54434     .54433     .54432     .54430     .54427     .54420     .54413
     .54401     .54388     .54371     .54350     .54325     .54297     .54263
     .54227     .54184     .54138     .54085     .54027     .53963     .53894

     .55521     .55520     .55519     .55516     .55512     .55504     .55494
     .55480     .55463     .55442     .55416     .55385     .55350     .55309
     .55262     .55210     .55151     .55086     .55014     .54934     .54847

     .56999     .56999     .56997     .56993     .56987     .56978     .56965
     .56947     .56926     .56899     .56866     .56827     .56782     .56730
     .56671     .56605     .56530     .56447     .56356     .56255     .56144

     .58827     .58827     .58825     .58820     .58813     .58801     .58785
     .58762     .58734     .58701     .58659     .58610     .58553     .58489
     .58414     .58330     .58235     .58131     .58015     .57888     .57748

     .60957     .60957     .60954     .60949     .60939     .60924     .60904
     .60876     .60842     .60800     .60748     .60687     .60617     .60535
     .60443     .60339     .60222     .60092     .59948     .59790     .59617

     .63332     .63332     .63329     .63322     .63310     .63292     .63267
     .63234     .63192     .63140     .63077     .63004     .62918     .62818
     .62706     .62579     .62437     .62278     .62103     .61911     .61700

     .65894     .65893     .65890     .65882     .65867     .65846     .65816
     .65777     .65727     .65664     .65590     .65502     .65399     .65281
     .65146     .64995     .64825     .64636     .64428     .64198     .63946

     .68581     .68581     .68576     .68567     .68550     .68525     .68490
     .68444     .68386     .68313     .68226     .68123     .68002     .67864
     .67706     .67530     .67331     .67110     .66866     .66597     .66304

     .71335     .71335     .71329     .71319     .71300     .71271     .71231
     .71177     .71109     .71026     .70926     .70807     .70669     .70510
     .70329     .70126     .69898     .69644     .69364     .69056     .68719

     .74099     .74098     .74093     .74081     .74059     .74026     .73981
     .73920     .73844     .73750     .73637     .73502     .73346     .73167
     .72963     .72732     .72475     .72188     .71872     .71523     .71143

     .76821     .76820     .76814     .76801     .76777     .76740     .76689
     .76622     .76537     .76432     .76306     .76157     .75983     .75783
     .75556     .75299     .75013     .74694     .74343     .73955     .73532

     .79457     .79456     .79449     .79434     .79408     .79367     .79312
     .79238     .79144     .79029     .78891     .78726     .78536     .78317
     .78067     .77785     .77471     .77122     .76735     .76312     .75848

     .81968     .81966     .81959     .81943     .81914     .81871     .81810
     .81730     .81629     .81504     .81353     .81175     .80968     .80730
     .80460     .80156     .79814     .79437     .79019     .78559     .78058

     .84324     .84322     .84315     .84297     .84267     .84219     .84154
     .84069     .83960     .83826     .83663     .83473     .83251     .82996
     .82707     .82380     .82016     .81611     .81165     .80675     .80138

     .86503     .86501     .86493     .86474     .86442     .86392     .86323
     .86232     .86116     .85973     .85802     .85599     .85364     .85094
     .84787     .84441     .84056     .83628     .83156     .82638     .82072

     .88491     .88489     .88481     .88461     .88427     .88374     .88301
     .88205     .88084     .87933     .87752     .87540     .87293     .87010
     .86688     .86325     .85922     .85474     .84980     .84439     .83847

     .90280     .90278     .90270     .90249     .90213     .90158     .90083
     .89982     .89854     .89698     .89510     .89289     .89032     .88738
     .88404     .88028     .87610     .87145     .86634     .86073     .85461

     .91870     .91868     .91859     .91838     .91801     .91744     .91665
     .91562     .91430     .91269     .91075     .90846     .90582     .90277
     .89934     .89548     .89119     .88642     .88117     .87542     .86914

     .93266     .93264     .93254     .93232     .93194     .93136     .93055
     .92948     .92813     .92648     .92449     .92217     .91946     .91636
     .91286     .90892     .90455     .89971     .89437     .88852     .88215

     .94475     .94474     .94473     .94466     .94449     .94411     .94347
     .94250     .94116     .93944     .93733     .93484     .93194     .92867
     .92499     .92091     .91639     .91142     .90599     .90006     .89361

     .95511     .95510     .95509     .95502     .95482     .95443     .95377
     .95277     .95141     .94967     .94757     .94509     .94224     .93900
     .93537     .93132     .92687     .92195     .91656     .91066     .90424

     .96387     .96387     .96385     .96378     .96357     .96316     .96247
     .96143     .96006     .95833     .95625     .95380     .95100     .94781
     .94425     .94028     .93588     .93104     .92572     .91988     .91350

     .97121     .97120     .97119     .97110     .97089     .97044     .96972
     .96868     .96730     .96559     .96354     .96115     .95842     .95531
     .95182     .94793     .94363     .93887     .93363     .92787     .92156

     .97727     .97727     .97725     .97717     .97693     .97647     .97572
     .97467     .97331     .97163     .96963     .96730     .96465     .96164
     .95824     .95446     .95025     .94559     .94045     .93478     .92856

     .98223     .98223     .98221     .98211     .98186     .98139     .98064
     .97959     .97825     .97662     .97469     .97244     .96987     .96695
     .96367     .95999     .95590     .95135     .94632     .94076     .93463

     .98625     .98624     .98622     .98612     .98585     .98536     .98461
     .98358     .98228     .98070     .97885     .97670     .97423     .97143
     .96825     .96469     .96071     .95628     .95135     .94591     .93990

     .98945     .98945     .98943     .98931     .98904     .98853     .98779
     .98680     .98555     .98405     .98228     .98023     .97785     .97517
     .97210     .96867     .96481     .96050     .95570     .95037     .94447

     .99199     .99198     .99195     .99185     .99156     .99105     .99033
     .98939     .98820     .98677     .98509     .98314     .98089     .97830
     .97536     .97206     .96832     .96413     .95946     .95425     .94849

     .99398     .99397     .99394     .99382     .99353     .99303     .99234
     .99145     .99034     .98899     .98741     .98556     .98340     .98094
     .97812     .97494     .97134     .96729     .96275     .95767     .95203

     .99551     .99551     .99547     .99535     .99505     .99458     .99393
     .99309     .99206     .99080     .98931     .98755     .98552     .98318
     .98049     .97743     .97396     .97004     .96564     .96071     .95522

     .99669     .99668     .99665     .99652     .99624     .99579     .99518
     .99441     .99344     .99227     .99088     .98922     .98731     .98509
     .98252     .97960     .97626     .97249     .96825     .96347     .95812

     .99758     .99757     .99754     .99741     .99713     .99672     .99616
     .99545     .99455     .99347     .99217     .99063     .98883     .98672
     .98429     .98149     .97830     .97469     .97059     .96599     .96081

     .99825     .99824     .99821     .99807     .99783     .99745     .99693
     .99628     .99546     .99446     .99325     .99181     .99012     .98813
     .98583     .98319     .98015     .97668     .97276     .96832     .96333

     .99875     .99874     .99871     .99859     .99834     .99801     .99754
     .99694     .99620     .99528     .99416     .99282     .99123     .98938
     .98720     .98469     .98180     .97849     .97475     .97049     .96568

     .99911     .99910     .99907     .99895     .99874     .99843     .99802
     .99747     .99680     .99595     .99493     .99368     .99220     .99045
     .98841     .98603     .98329     .98015     .97657     .97249     .96788

     .99937     .99937     .99934     .99923     .99903     .99876     .99839
     .99790     .99729     .99652     .99556     .99441     .99303     .99140
     .98948     .98725     .98464     .98167     .97824     .97434     .96989

     .99956     .99956     .99953     .99942     .99927     .99902     .99869
     .99825     .99768     .99698     .99611     .99504     .99376     .99224
     .99044     .98832     .98587     .98303     .97977     .97602     .97173

     .99970     .99969     .99966     .99957     .99943     .99922     .99891
     .99852     .99801     .99737     .99657     .99557     .99439     .99297
     .99127     .98928     .98696     .98424     .98112     .97750     .97336

     .99979     .99979     .99976     .99968     .99956     .99936     .99910
     .99875     .99829     .99770     .99695     .99605     .99494     .99361
     .99201     .99013     .98791     .98531     .98231     .97880     .97477

     .99986     .99985     .99982     .99976     .99966     .99949     .99924
     .99894     .99851     .99798     .99729     .99645     .99541     .99416
     .99265     .99085     .98873     .98625     .98332     .97992     .97598

     .99991     .99990     .99988     .99982     .99972     .99958     .99937
     .99908     .99869     .99821     .99758     .99679     .99581     .99464
     .99320     .99149     .98945     .98702     .98419     .98086     .97700

     .99994     .99993     .99992     .99987     .99978     .99966     .99946
     .99920     .99885     .99839     .99781     .99708     .99616     .99503
     .99368     .99201     .99003     .98768     .98489     .98162     .97781

     .99996     .99995     .99994     .99989     .99981     .99971     .99954
     .99930     .99898     .99856     .99801     .99733     .99646     .99537
     .99406     .99245     .99051     .98820     .98546     .98224     .97847

     .99997     .99997     .99995     .99992     .99986     .99975     .99960
     .99939     .99910     .99870     .99818     .99752     .99670     .99566
     .99437     .99279     .99090     .98861     .98591     .98272     .97899

     .99998     .99998     .99996     .99993     .99988     .99979     .99965
     .99946     .99918     .99882     .99833     .99770     .99689     .99587
     .99462     .99308     .99120     .98894     .98626     .98310     .97938

     .99999     .99998     .99998     .99995     .99989     .99981     .99969
     .99951     .99925     .99891     .99844     .99783     .99705     .99606
     .99481     .99328     .99144     .98919     .98652     .98338     .97967

     .99999     .99999     .99999     .99995     .99991     .99983     .99973
     .99956     .99931     .99898     .99854     .99794     .99716     .99619
     .99497     .99345     .99161     .98938     .98673     .98358     .97989

    1.00000     .99999     .99999     .99999     .99996     .99993     .99984
     .99970     .99950     .99919     .99878     .99822     .99749     .99654
     .99533     .99385     .99202     .98983     .98719     .98406     .98038


constant used in Pair cre. sampling with LPM
  190649496.080627  25  2.500000000000000E-002  .100000000000000  .000000000000000  1.00000000000000  41  8.28023566169628  47888988237.9066

Hegas   
Pair total x-sec. with LPM
  1.906495E+08  .773998
  2.400135E+08  .773381
  3.021591E+08  .773381
  3.803957E+08  .773381
  4.788899E+08  .773381
  6.028867E+08  .773381
  7.589893E+08  .773381
  9.555109E+08  .773381
  1.202917E+09  .773381
  1.514383E+09  .773381
  1.906495E+09  .773381
  2.400135E+09  .772486
  3.021591E+09  .771853
  3.803958E+09  .771973
  4.788899E+09  .770535
  6.028867E+09  .767377
  7.589893E+09  .762685
  9.555109E+09  .755086
  1.202917E+10  .743884
  1.514383E+10  .729692
  1.906495E+10  .711851
  2.400135E+10  .690281
  3.021591E+10  .665680
  3.803958E+10  .638107
  4.788899E+10  .608123

Pair table with LPM
    1.00000     .99026     .98038     .97039     .96026     .94997     .93957
     .92901     .91831     .90748     .89648     .88534     .87403     .86259
     .85098     .83921     .82729     .81522     .80299     .79058     .77802
     .76531     .75245     .73943     .72625     .71294     .69947     .68588
     .67215     .65828     .64431     .63021     .61602     .60173     .58736
     .57291     .55841     .54385     .52925     .51464     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92872     .91798     .90710     .89608     .88490     .87357     .86210
     .85047     .83868     .82674     .81464     .80239     .78999     .77743
     .76472     .75185     .73883     .72567     .71237     .69892     .68534
     .67163     .65779     .64385     .62980     .61563     .60139     .58706
     .57266     .55820     .54370     .52915     .51458     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92872     .91798     .90710     .89608     .88490     .87357     .86210
     .85047     .83868     .82674     .81464     .80239     .78999     .77743
     .76472     .75185     .73883     .72567     .71237     .69892     .68534
     .67163     .65779     .64385     .62980     .61563     .60139     .58706
     .57266     .55820     .54370     .52915     .51458     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92872     .91798     .90710     .89608     .88490     .87357     .86210
     .85047     .83868     .82674     .81464     .80239     .78999     .77743
     .76472     .75185     .73883     .72567     .71237     .69892     .68534
     .67163     .65779     .64385     .62980     .61563     .60139     .58706
     .57266     .55820     .54370     .52915     .51458     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92872     .91798     .90710     .89608     .88490     .87357     .86210
     .85047     .83868     .82674     .81464     .80239     .78999     .77743
     .76472     .75185     .73883     .72567     .71237     .69892     .68534
     .67163     .65779     .64385     .62980     .61563     .60139     .58706
     .57266     .55820     .54370     .52915     .51458     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92872     .91798     .90710     .89608     .88490     .87357     .86210
     .85047     .83868     .82674     .81464     .80239     .78999     .77743
     .76472     .75185     .73883     .72567     .71237     .69892     .68534
     .67163     .65779     .64385     .62980     .61563     .60139     .58706
     .57266     .55820     .54370     .52915     .51458     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92872     .91798     .90710     .89608     .88490     .87357     .86210
     .85047     .83868     .82674     .81464     .80239     .78999     .77743
     .76472     .75185     .73883     .72567     .71237     .69892     .68534
     .67163     .65779     .64385     .62980     .61563     .60139     .58706
     .57266     .55820     .54370     .52915     .51458     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92872     .91798     .90710     .89608     .88490     .87357     .86210
     .85047     .83868     .82674     .81464     .80239     .78999     .77743
     .76472     .75185     .73883     .72567     .71237     .69892     .68534
     .67163     .65779     .64385     .62980     .61563     .60139     .58706
     .57266     .55820     .54370     .52915     .51458     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92872     .91798     .90710     .89608     .88490     .87357     .86210
     .85047     .83868     .82674     .81464     .80239     .78999     .77743
     .76472     .75185     .73883     .72567     .71237     .69892     .68534
     .67163     .65779     .64385     .62980     .61563     .60139     .58706
     .57266     .55820     .54370     .52915     .51458     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92872     .91798     .90710     .89608     .88490     .87357     .86210
     .85047     .83868     .82674     .81464     .80239     .78999     .77743
     .76472     .75185     .73883     .72567     .71237     .69892     .68534
     .67163     .65779     .64385     .62980     .61563     .60139     .58706
     .57266     .55820     .54370     .52915     .51458     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92872     .91798     .90710     .89608     .88490     .87357     .86210
     .85047     .83868     .82674     .81464     .80239     .78999     .77743
     .76472     .75185     .73883     .72567     .71237     .69892     .68534
     .67163     .65779     .64385     .62980     .61563     .60139     .58706
     .57266     .55820     .54370     .52915     .51458     .50000

    1.00000     .99023     .98032     .97028     .96012     .94982     .93938
     .92881     .91808     .90722     .89620     .88505     .87374     .86227
     .85065     .83889     .82697     .81489     .80265     .79026     .77772
     .76502     .75218     .73919     .72604     .71275     .69933     .68571
     .67202     .65809     .64416     .62992     .61580     .60157     .58725
     .57257     .55814     .54365     .52913     .51457     .50000

    1.00000     .99023     .98034     .97031     .96015     .94987     .93943
     .92887     .91816     .90730     .89629     .88514     .87385     .86239
     .85079     .83904     .82713     .81506     .80283     .79046     .77789
     .76511     .75229     .73916     .72604     .71277     .69915     .68561
     .67195     .65816     .64425     .62992     .61580     .60160     .58731
     .57295     .55852     .54404     .52953     .51498     .50000

    1.00000     .99023     .98034     .97031     .96015     .94985     .93943
     .92886     .91814     .90728     .89628     .88512     .87383     .86237
     .85076     .83901     .82700     .81493     .80260     .79025     .77755
     .76488     .75206     .73909     .72572     .71247     .69906     .68552
     .67184     .65804     .64412     .62974     .61560     .60138     .58706
     .57267     .55822     .54371     .52916     .51459     .50000

    1.00000     .99026     .98037     .97036     .96023     .94996     .93954
     .92899     .91830     .90746     .89649     .88535     .87406     .86259
     .85091     .83921     .82720     .81518     .80300     .79049     .77801
     .76536     .75255     .73960     .72648     .71296     .69957     .68602
     .67233     .65851     .64457     .63050     .61633     .60167     .58733
     .57290     .55840     .54385     .52926     .51464     .50000

    1.00000     .99029     .98046     .97050     .96040     .95017     .93980
     .92930     .91865     .90788     .89687     .88575     .87453     .86309
     .85159     .83978     .82798     .81600     .80387     .79157     .77892
     .76632     .75353     .74059     .72748     .71421     .70079     .68692
     .67322     .65937     .64539     .63128     .61705     .60272     .58829
     .57378     .55920     .54456     .52987     .51516     .50000

    1.00000     .99035     .98058     .97068     .96064     .95048     .94018
     .92976     .91914     .90838     .89747     .88650     .87525     .86399
     .85256     .84097     .82905     .81713     .80505     .79279     .78034
     .76772     .75473     .74177     .72865     .71535     .70189     .68827
     .67449     .66056     .64648     .63227     .61793     .60315     .58862
     .57399     .55928     .54452     .52971     .51487     .50000

    1.00000     .99044     .98077     .97097     .96105     .95100     .94079
     .93041     .91991     .90934     .89855     .88769     .87667     .86538
     .85404     .84254     .83085     .81898     .80677     .79455     .78213
     .76954     .75675     .74377     .73061     .71726     .70373     .68978
     .67592     .66190     .64772     .63340     .61895     .60437     .58968
     .57489     .56002     .54507     .53008     .51505     .50000

    1.00000     .99059     .98106     .97141     .96163     .95171     .94167
     .93148     .92115     .91076     .90020     .88940     .87853     .86747
     .85624     .84470     .83311     .82131     .80933     .79714     .78475
     .77216     .75917     .74619     .73301     .71962     .70604     .69226
     .67831     .66418     .64988     .63541     .62080     .60604     .59118
     .57619     .56112     .54567     .53048     .51525     .50000

    1.00000     .99078     .98142     .97196     .96236     .95266     .94282
     .93284     .92278     .91250     .90211     .89156     .88073     .86980
     .85870     .84739     .83588     .82415     .81207     .79992     .78756
     .77497     .76217     .74915     .73591     .72245     .70877     .69489
     .68081     .66652     .65205     .63717     .62237     .60743     .59234
     .57714     .56184     .54645     .53100     .51551     .50000

    1.00000     .99100     .98188     .97266     .96329     .95385     .94427
     .93452     .92467     .91467     .90441     .89404     .88348     .87270
     .86172     .85040     .83898     .82735     .81548     .80337     .79102
     .77845     .76562     .75256     .73925     .72571     .71175     .69776
     .68354     .66910     .65446     .63963     .62461     .60942     .59409
     .57862     .56304     .54737     .53161     .51582     .50000

    1.00000     .99126     .98244     .97349     .96444     .95528     .94598
     .93655     .92690     .91712     .90716     .89698     .88659     .87589
     .86507     .85401     .84270     .83115     .81934     .80729     .79498
     .78240     .76942     .75633     .74298     .72937     .71549     .70137
     .68700     .67239     .65755     .64250     .62724     .61180     .59618
     .58042     .56452     .54853     .53244     .51615     .50000

    1.00000     .99158     .98307     .97443     .96574     .95689     .94791
     .93873     .92941     .91988     .91013     .90011     .88992     .87948
     .86880     .85787     .84667     .83521     .82337     .81136     .79910
     .78652     .77369     .76055     .74713     .73343     .71943     .70517
     .69062     .67582     .66076     .64545     .62992     .61405     .59813
     .58204     .56581     .54947     .53302     .51653     .50000

    1.00000     .99194     .98377     .97552     .96716     .95869     .95000
     .94115     .93211     .92278     .91329     .90356     .89356     .88331
     .87280     .86201     .85085     .83950     .82786     .81593     .80367
     .79113     .77827     .76508     .75160     .73780     .72369     .70927
     .69445     .67944     .66416     .64860     .63279     .61675     .60050
     .58405     .56745     .55070     .53386     .51696     .50000

    1.00000     .99232     .98454     .97669     .96871     .96056     .95225
     .94372     .93491     .92591     .91666     .90716     .89738     .88726
     .87691     .86628     .85535     .84411     .83256     .82069     .80848
     .79594     .78307     .76986     .75623     .74234     .72812     .71355
     .69866     .68344     .66790     .65208     .63596     .61959     .60297
     .58615     .56916     .55201     .53472     .51738     .50000


