# ************************************************ 
#     This table  has been made by using ../../Data/BaseM/G-10 
#     with Bremsstrahlung formula: # 1
#     and  Pair creation  formula: # 1.
#     Mon Feb 21 18:28:25 GMT+0900 2000 by KASAHARA Katsuaki using
#     version epics.uv5.30  
# 
#name   Format    G-10
Gten 	1
#
#  Elem	 rho(g/cm^3)	Gas/Solid(1/0)  refl.index Birks c

8         1.75			0         0       0 0 0
# 	Z	A  	N
	6	12.01	28
	1	1	34
	8	15.99	22
	7	14	1
	14	28.09	6
	20	40.08	3
	13	26.98	2
	5	10.81	4
 Excitation (Ionization) potential = 101.20 eV
 radation length=  17.1843574307471 cm  30.0726255038074 g/cm^2
 <Aeff>=  19.0460750062386 <Zeff=>  9.49660738211917 <Z2/A>=   4.73512530747567
 plasma energy=  2.728867646830240E-008 GeV no density=  9.392480860753630E+020 /cm^3
 <Z2eff=>  90.1855517701204 <Z/A>=  .512459448861003
Migdal s1=  1.339091159124992E-004
 Conversion factors:
 g/cm^2 to cm=  .571428571428572
 mb to /(g/cm2)=  5.367131920430644E-007 mb to /cm=  9.392480860753630E-007 mb to /X0=  1.614037482726411E-005
 If a comound is specified as an Atom, use the
 following instead:   3.161878076205950E-005  5.533286633360410E-005  9.508597527444030E-004
 pi x Re**2 * N* Z /A *X0g  = 0.15 Z/A*X0g=  2.31523511471550
 media.A, Z, Z^2=  1122.04000000000  575.000000000000  5313.00000000000

 **** Sternheimers consts
 a, b, c =  7.871377508375360E-002  17.7255110643240 -3.62229154886252
 x0, x1 =  .200000002980232  3.00000000000000
 sa, xa =  .123045351423177  .786428916817706
 minimum dEdx_restricted=  1.512145956942080E-003 GeV/(g/cm^2)  with Tcut=  1.000000000000000E-004 GeV

 **** photoelectric consts
b0, b1, b2=  .784973144242775  1.72985507609961  1.74516377996667
fa, a, p=  1.08233072606243  5.097824950304674E-004  6.636232378184110E-004
l, ek=  7.70323101930878  1.226523504073640E-006

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

Gten    
Seltzer Brems total X-sec. table upto E=  .100000000000000 GeV
  7.110000E-04  3.79952
  9.104920E-04  3.60207
  1.165957E-03  3.79840
  1.493101E-03  4.17257
  1.912034E-03  4.63210
  2.448512E-03  5.14818
  3.135514E-03  5.69482
  4.015274E-03  6.24294
  5.141878E-03  6.78225
  6.584583E-03  7.30708
  8.432082E-03  7.82763
  1.079795E-02  8.31070
  1.382763E-02  8.80171
  1.770738E-02  9.26985
  2.267571E-02  9.72684
  2.903805E-02  10.1735
  3.718552E-02  10.6076
  4.761902E-02  11.0291
  6.097994E-02  11.4343
  7.808965E-02  11.8335
  .100000  11.4469

Selzter Brems sampling table; log(v/vmin)/(1-u)
    2.57842    2.48258    2.40738    2.34607    2.29464    2.25061    2.21246
    2.17883    2.14910    2.12250    2.09839    2.07663    2.05702    2.03903
    2.02257    2.00756    1.99367    1.98089    1.96916    1.95822

    3.07350    2.95594    2.86628    2.79464    2.73561    2.68600    2.64327
    2.60603    2.57361    2.54463    2.51859    2.49519    2.47412    2.45505
    2.43782    2.42207    2.40781    2.39465    2.38282    2.37175

    3.44474    3.31591    3.21910    3.14244    3.08010    3.02771    2.98353
    2.94462    2.91024    2.87981    2.85291    2.82897    2.80766    2.78861
    2.77151    2.75618    2.74226    2.72965    2.71842    2.70792

    3.77740    3.64072    3.53878    3.45934    3.39499    3.34202    3.29603
    3.25599    3.22118    3.19085    3.16434    3.14105    3.12056    3.10239
    3.08629    3.07187    3.05905    3.04754    3.03700    3.02783

    4.09369    3.95298    3.84868    3.76759    3.70260    3.64855    3.60232
    3.56253    3.52805    3.49809    3.47196    3.44908    3.42893    3.41121
    3.39550    3.38161    3.36923    3.35816    3.34856    3.33955

    4.40180    4.25865    4.15272    4.07064    4.00487    3.94973    3.90285
    3.86276    3.82839    3.79880    3.77323    3.75108    3.73177    3.71496
    3.70021    3.68727    3.67594    3.66584    3.65694    3.64900

    4.70330    4.55925    4.45271    4.37020    4.30350    4.24741    4.19997
    4.15976    4.12557    4.09642    4.07148    4.05009    4.03165    4.01573
    4.00194    3.98997    3.97945    3.97039    3.96226    3.95525

    5.00281    4.85996    4.75424    4.67181    4.60422    4.54721    4.49920
    4.45878    4.42474    4.39600    4.37165    4.35097    4.33334    4.31825
    4.30532    4.29418    4.28456    4.27629    4.26900    4.26270

    5.29910    5.15852    5.05462    4.97301    4.90506    4.84757    4.79928
    4.75892    4.72521    4.69702    4.67336    4.65344    4.63666    4.62247
    4.61035    4.60010    4.59128    4.58383    4.57714    4.57169

    5.59268    5.45443    5.35226    5.27140    5.20293    5.14474    5.09598
    5.05546    5.02190    4.99406    4.97094    4.95173    4.93568    4.92218
    4.91086    4.90137    4.89323    4.88651    4.88056    4.87559

    5.88277    5.74571    5.64392    5.56253    5.49241    5.43262    5.38274
    5.34162    5.30786    5.28021    5.25744    5.23871    5.22323    5.21043
    5.19976    5.19081    5.18333    5.17705    5.17175    5.16730

    6.17281    6.03773    5.93758    5.85729    5.78847    5.72872    5.67752
    5.63429    5.59827    5.56839    5.54374    5.52342    5.50668    5.49282
    5.48137    5.47188    5.46391    5.45731    5.45174    5.44721

    6.45797    6.32397    6.22414    6.14310    6.07270    6.01128    5.95880
    5.91488    5.87864    5.84895    5.82474    5.80505    5.78894    5.77583
    5.76509    5.75625    5.74903    5.74307    5.73790    5.73394

    6.73890    6.60536    6.50536    6.42313    6.35097    6.28808    6.23481
    6.19074    6.15482    6.12580    6.10244    6.08361    6.06848    6.05626
    6.04634    6.03831    6.03181    6.02641    6.02203    6.01844

    7.01678    6.88336    6.78282    6.69902    6.62498    6.56070    6.50682
    6.46284    6.42749    6.39928    6.37688    6.35906    6.34486    6.33354
    6.32448    6.31720    6.31136    6.30667    6.30265    6.29963

    7.29139    7.15763    7.05623    6.97057    6.89450    6.82891    6.77460
    6.73087    6.69621    6.66893    6.64751    6.63069    6.61748    6.60703
    6.59882    6.59222    6.58705    6.58286    6.57936    6.57674

    7.56269    7.42830    7.32582    7.23823    7.16029    7.09371    7.03934
    6.99622    6.96250    6.93631    6.91603    6.90026    6.88802    6.87852
    6.87103    6.86514    6.86056    6.85688    6.85383    6.85159

    7.83075    7.69568    7.59222    7.50288    7.42354    7.35658    7.30272
    7.26061    7.22815    7.20327    7.18420    7.16960    7.15838    7.14975
    7.14305    7.13786    7.13381    7.13062    7.12806    7.12609

    8.09711    7.96175    7.85773    7.76722    7.68724    7.62066    7.56789
    7.52723    7.49632    7.47294    7.45523    7.44183    7.43169    7.42392
    7.41800    7.41342    7.40995    7.40715    7.40504    7.40336

    8.36124    8.22540    8.12072    8.02924    7.94915    7.88345    7.83222
    7.79332    7.76414    7.74235    7.72606    7.71388    7.70474    7.69787
    7.69265    7.68872    7.68560    7.68328    7.68147    7.68012

    8.72049    8.62488    8.56389    8.52358    8.49628    8.47749    8.46438
    8.45517    8.44865    8.44402    8.44068    8.43829    8.43656    8.43528
    8.43436    8.43365    8.43313    8.43272    8.43255    7.44963


Seltzer Brems sampling tbl in B; log(v/vmin)
   13.25537   13.31812   13.25088   13.24270   13.21406   13.15438   13.04428
   12.88333   12.63915   12.30795   11.88467   11.39320   10.85559   10.29598
    9.73463    9.18300    8.64855    8.13475    7.64520    7.18314    6.75142

   29.23505   29.28904   29.21116   29.10797   28.84030   28.30937   27.43559
   26.21615   24.71159   23.03664   21.30467   19.60956   18.00273   16.51382
   15.14272   13.88787   12.74690   11.71710   10.79126    9.96007    9.21468

   49.82761   49.86770   49.71346   49.24723   48.09516   45.99493   43.00590
   39.45697   35.75952   32.18983   28.90704   25.95523   23.31904   20.97515
   18.90435   17.08277   15.48638   14.08583   12.85575   11.77274   10.81714

   71.38082   71.27085   71.04371   69.74350   66.68561   61.73563   55.64555
   49.39328   43.58146   38.43013   33.94021   30.03499   26.65489   23.73738
   21.22544   19.06309   17.19737   15.58141   14.17638   12.94963   11.87437

   92.14976   92.13285   91.42135   88.62506   82.55861   73.87378   64.48686
   55.84020   48.39256   42.11071   36.79587   32.29674   28.49427   25.27769
   22.54840   20.22128   18.22705   16.50750   15.01623   13.71740   12.58060

  110.23299  110.15392  108.86219  104.01172   94.29692   81.86047   69.66446
   59.21181   50.66848   43.69852   37.95986   33.21443   29.26983   25.96670
   23.17967   20.81255   18.78752   17.04178   15.52704   14.20654   13.04963

  128.03905  127.78556  125.54597  117.71629  103.51832   87.29019   72.67173
   60.80365   51.47106   44.07459   38.16285   33.37489   29.44097   26.17009
   23.41801   21.08104   19.07846   17.34747   15.84184   14.52598   13.37095

  144.45415  143.69543  140.16173  128.47707  109.46038   89.94622   73.57901
   60.81323   51.01750   43.48180   37.60203   32.92124   29.11608   25.96825
   23.32384   21.07526   19.14113   17.46123   15.99224   14.70249   13.56625

  160.63933  159.21310  153.65864  136.99581  112.91305   90.62568   73.10074
   59.85924   49.93256   42.43276   36.68211   32.17000   28.53833   25.54939
   23.04094   20.90570   19.06319   17.45508   16.04154   14.79305   13.68719

  176.47162  174.53020  165.78656  142.99220  114.04704   89.71899   71.58206
   58.24542   48.43931   41.12644   35.57082   31.25965   27.82007   25.00390
   22.64593   20.63395   18.89330   17.36803   16.02019   14.82302   13.75712

  192.15933  189.83860  176.29518  146.34036  113.54219   87.93934   69.48463
   56.24355   46.67358   39.63302   34.34063   30.26514   27.03623   24.40236
   22.19786   20.31416   18.67805   17.23880   15.96073   14.82096   13.80197

  206.81150  204.18676  184.24232  147.81734  111.65900   85.31080   66.84102
   53.88285   44.67805   37.97981   32.98685   29.16597   26.15751   23.71263
   21.66818   19.91895   18.39562   17.04938   15.84869   14.77184   13.80515

  221.60673  218.33761  190.59415  147.00747  108.58416   82.00356   63.88824
   51.40685   42.65756   36.33770   31.65532   28.09214   25.29870   23.03870
   21.15115   19.53503   18.12401   16.87078   15.74739   14.73442   13.82020

  235.48350  231.52954  194.40863  144.36509  104.58890   78.22383   60.70721
   48.84913   40.61359   34.70781   30.34948   27.04618   24.46807   22.38858
   20.65494   19.16925   17.86823   16.70805   15.66124   14.71128   13.84863

  248.93104  243.76307  196.10393  140.46434  100.08408   74.28856   57.47046
   46.30304   38.60103   33.11679   29.07926   26.03143   23.66303   21.75955
   20.17555   18.81706   17.62443   16.55522   15.58450   14.69723   13.88557

  261.95210  255.03878  195.78826  135.62391   95.30075   70.34069   54.32381
   43.82663   36.66013   31.58598   27.86639   25.06810   22.90170   21.16762
   19.72703   18.49134   17.40346   16.42359   15.52649   14.69985   13.93763

  274.44028  264.97577  193.61769  130.10770   90.21491   66.32893   51.20427
   41.43789   34.80760   30.13356   26.72028   24.16087   22.18617   20.61530
   19.31409   18.19842   17.21323   16.31908   15.49308   14.72415   14.00839

  286.41864  273.19301  189.90354  124.21227   84.99452   62.26271   48.19286
   39.14939   33.05075   28.77179   25.65152   23.31877   21.52662   20.10998
   18.94367   17.94522   17.05915   16.24769   15.48856   14.77295   14.09945

  297.83915  279.69086  184.73020  118.08024   79.83809   58.26854   45.25492
   36.96308   31.39071   27.48981   24.65297   22.53165   20.91463   19.64374
   18.60503   17.71877   16.92786   16.19491   15.49922   14.83368   14.19908

  309.00144  284.46967  178.46856  111.61037   74.82533   54.56670   42.55393
   34.94643   29.86087   26.30842   23.72811   21.80717   20.35561   19.22793
   18.31220   17.52976   16.82678   16.16693   15.53056   14.91168   14.31354

  299.47624  256.43780  158.61146   94.38029   63.11934   46.53903   36.81407
   30.62819   26.45180   23.50176   21.35145   19.75144   18.54113   17.60622
   16.85832   16.22933   15.66654   15.13296   14.60793   14.08543   13.56778


 constant for Brems sampling table at low energies
  70.8860782650792  1.000000000000000E-004  1.000000000000000E-002 -2.00000000000000  70.8860782650792  6.485714231218610E-002  .100000000000000  1.00000000000000  38  4.736842105263160E-002  .104069214862252  .104069214862252  .000000000000000  .562341325190349  2.811706625951750E-002  38  20  21

Gten    
Brems total X-sec. table upto E=  70.8860782650790 GeV
  1.000000E-02  4.72440
  1.270777E-02  5.15948
  1.614873E-02  5.59361
  2.052143E-02  6.02271
  2.607816E-02  6.44975
  3.313951E-02  6.86358
  4.211291E-02  7.27251
  5.351610E-02  7.67529
  6.800701E-02  8.06907
  8.642173E-02  8.45930
  .109823  8.46136
  .139560  8.81451
  .177350  9.16395
  .225372  9.51009
  .286397  9.85332
  .363947  10.1940
  .462495  10.5324
  .587728  10.8689
  .746871  11.2036
  .949107  11.5369
  1.20610  11.8689
  1.53269  12.1988
  1.94770  12.5348
  2.47510  12.8703
  3.14529  13.1935
  3.99697  13.4912
  5.07925  13.7504
  6.45459  13.9602
  8.20234  14.1136
  10.4233  14.2061
  13.2457  14.2407
  16.8324  14.2199
  21.3902  14.1475
  27.1822  14.0320
  34.5425  13.8820
  43.8958  13.6969
  55.7817  13.4852
  70.8861  13.2493

Brems sampling table at low E for Small Eg
    3.99452    3.88299    3.79815    3.73022    3.67361    3.62510    3.58252
    3.54286    3.50525    3.46999    3.43739    3.40754    3.38040    3.35587
    3.33368    3.31365    3.29563    3.27935    3.26467    3.25152

    4.25931    4.14868    4.06457    3.99715    3.94116    3.89357    3.85125
    3.81223    3.77561    3.74116    3.70894    3.67906    3.65150    3.62628
    3.60335    3.58255    3.56365    3.54662    3.53129    3.51740

    4.52039    4.40967    4.32529    4.25737    4.20087    4.15246    4.10853
    4.06743    4.02869    3.99233    3.95855    3.92756    3.89936    3.87384
    3.85090    3.83032    3.81195    3.79542    3.78082    3.76765

    4.78023    4.66923    4.58435    4.51579    4.45860    4.40875    4.36275
    4.31933    4.27840    4.24030    4.20531    4.17356    4.14509    4.11969
    4.09712    4.07717    4.05952    4.04383    4.02989    4.01772

    5.03974    4.92845    4.84298    4.77362    4.71556    4.66392    4.61557
    4.56973    4.52668    4.48707    4.45117    4.41908    4.39066    4.36569
    4.34372    4.32454    4.30768    4.29295    4.28019    4.26881

    5.29573    5.18340    5.09677    5.02625    4.96673    4.91284    4.86185
    4.81359    4.76878    4.72806    4.69177    4.65980    4.63190    4.60764
    4.58667    4.56847    4.55268    4.53902    4.52732    4.51695

    5.55004    5.43653    5.34870    5.27696    5.21590    5.15965    5.10618
    5.05589    5.00981    4.96864    4.93247    4.90115    4.87413    4.85093
    4.83111    4.81409    4.79957    4.78699    4.77642    4.76713

    5.80276    5.68797    5.59891    5.52609    5.46342    5.40493    5.34931
    5.29764    5.25102    5.21005    5.17462    5.14434    5.11864    5.09680
    5.07834    5.06270    5.04949    5.03813    5.02859    5.02044

    6.05432    5.93832    5.84823    5.77460    5.71034    5.64988    5.59276
    5.54041    5.49400    5.45385    5.41971    5.39091    5.36672    5.34650
    5.32960    5.31535    5.30345    5.29347    5.28494    5.27787

    6.30343    6.18591    6.09453    6.01985    5.95383    5.89159    5.83342
    5.78101    5.73541    5.69661    5.66409    5.63702    5.61463    5.59606
    5.58070    5.56800    5.55744    5.54864    5.54121    5.53508

    6.60666    6.51047    6.44259    6.39351    6.35726    6.33003    6.30935
    6.29344    6.28115    6.27154    6.26404    6.25813    6.25346    6.24972
    6.24673    6.24433    6.24243    6.24084    6.23958    6.23860

    6.85437    6.75831    6.69116    6.64308    6.60790    6.58174    6.56206
    6.54708    6.53563    6.52676    6.51989    6.51457    6.51034    6.50705
    6.50445    6.50239    6.50075    6.49939    6.49851    6.49746

    7.10039    7.00444    6.93802    6.89091    6.85678    6.83165    6.81291
    6.79881    6.78811    6.77993    6.77365    6.76880    6.76507    6.76212
    6.75987    6.75802    6.75658    6.75551    6.75458    6.75385

    7.34486    7.24901    7.18331    7.13714    7.10403    7.07987    7.06204
    7.04876    7.03877    7.03124    7.02551    7.02113    7.01773    7.01519
    7.01312    7.01161    7.01034    7.00941    7.00853    7.00801

    7.58791    7.49216    7.42716    7.38195    7.34980    7.32660    7.30964
    7.29713    7.28783    7.28087    7.27562    7.27166    7.26865    7.26636
    7.26457    7.26322    7.26220    7.26140    7.26073    7.26019

    7.82965    7.73400    7.66973    7.62546    7.59428    7.57200    7.55587
    7.54409    7.53543    7.52901    7.52421    7.52063    7.51795    7.51592
    7.51441    7.51321    7.51223    7.51156    7.51094    7.51059

    8.07022    7.97470    7.91118    7.86784    7.83763    7.81623    7.80091
    7.78982    7.78175    7.77583    7.77148    7.76824    7.76584    7.76404
    7.76270    7.76165    7.76085    7.76020    7.75975    7.75945

    8.30975    8.21438    8.15163    8.10922    8.07997    8.05944    8.04489
    8.03448    8.02698    8.02152    8.01755    8.01462    8.01249    8.01089
    8.00971    8.00883    8.00813    8.00756    8.00721    8.00694

    8.54835    8.45321    8.39124    8.34978    8.32145    8.30179    8.28799
    8.27820    8.27122    8.26621    8.26258    8.25997    8.25805    8.25664
    8.25559    8.25482    8.25427    8.25388    8.25357    8.25323

    8.78615    8.69127    8.63013    8.58963    8.56222    8.54339    8.53030
    8.52112    8.51464    8.51004    8.50675    8.50438    8.50267    8.50144
    8.50050    8.49989    8.49933    8.49904    8.49873    8.49851

    9.02326    8.92871    8.86842    8.82888    8.80240    8.78439    8.77198
    8.76339    8.75736    8.75313    8.75014    8.74801    8.74650    8.74542
    8.74460    8.74401    8.74365    8.74329    8.74320    8.74290

    9.25991    9.16579    9.10646    9.06795    9.04245    9.02529    9.01366
    9.00570    9.00026    8.99655    8.99403    8.99236    8.99132    8.99078
    8.99068    8.99108    8.99221    8.99485    9.00349    8.95524

    9.49533    9.40141    9.34271    9.30484    9.27986    9.26306    9.25154
    9.24353    9.23778    9.23355    9.23022    9.22747    9.22489    9.22222
    9.21911    9.21482    9.20820    9.19515    9.15138    9.12874

    9.73034    9.63670    9.57863    9.54141    9.51693    9.50042    9.48900
    9.48086    9.47480    9.46998    9.46583    9.46190    9.45778    9.45292
    9.44665    9.43764    9.42303    9.39402    9.39553    9.44314

    9.96626    9.87343    9.81659    9.78065    9.75738    9.74198    9.73162
    9.72448    9.71939    9.71563    9.71264    9.71005    9.70755    9.70478
    9.70144    9.69672    9.67882    9.71695    9.80041    9.95193

   10.20447   10.11359   10.05920   10.02587   10.00532    9.99282    9.98554
    9.98182    9.98063    9.98139    9.98381    9.98791    9.99393   10.00248
   10.01489   10.02916   10.08851   10.21103   10.41095   10.71183

   10.44633   10.35909   10.30896   10.28029   10.26483   10.25792   10.25693
   10.26037   10.26748   10.27809   10.29246   10.31145   10.33652   10.37049
   10.41449   10.49701   10.66214   10.90892   11.26915   11.78215

   10.69296   10.61150   10.56795   10.54661   10.53927   10.54148   10.55083
   10.56621   10.58734   10.61468   10.64943   10.69383   10.75153   10.82512
   10.94247   11.13292   11.42319   11.83476   12.41260   13.22799

   10.94507   10.87182   10.83755   10.82657   10.83084   10.84619   10.87061
   10.90345   10.94515   10.99712   11.06194   11.14383   11.24974   11.38817
   11.60772   11.93139   12.38250   13.00666   13.87710   15.12490

   11.20314   11.14071   11.11860   11.12127   11.14093   11.17379   11.21835
   11.27464   11.34400   11.42912   11.53443   11.66690   11.83385   12.07340
   12.41433   12.89090   13.54116   14.43525   15.69488   17.56258

   11.46685   11.41773   11.41053   11.42995   11.46859   11.52311   11.59265
   11.67805   11.78180   11.90818   12.06391   12.25882   12.51188   12.86684
   13.35045   14.00754   14.89819   16.12947   17.90212   20.65626

   11.73599   11.70253   11.71288   11.75206   11.81313   11.89331   11.99244
   12.11241   12.25701   12.43243   12.64807   12.91604   13.27383   13.75745
   14.40423   15.27011   16.44527   18.09048   20.52809   24.54410

   12.01019   11.99464   12.02495   12.08668   12.17336   12.28288   12.41594
   12.57552   12.76698   12.99865   13.28311   13.63633   14.10941   14.73511
   15.56192   16.66503   18.17069   20.31392   23.59821   29.39585

   12.28865   12.29286   12.34522   12.43182   12.54680   12.68877   12.85934
   13.06279   13.30615   13.60014   13.95994   14.41232   15.00949   15.78908
   16.81304   18.18043   20.06303   22.79400   27.13583   35.42806

   12.57059   12.59600   12.67205   12.78538   12.93080   13.10768   13.31867
   13.56935   13.86863   14.22976   14.66792   15.23716   15.96591   16.90991
   18.14697   19.80434   22.10957   25.52174   31.15808   42.91132

   12.85605   12.90421   13.00559   13.14756   13.32559   13.53990   13.79423
   14.09561   14.45487   14.88809   15.41607   16.09803   16.96485   18.08237
   19.54648   21.51718   24.28793   28.47248   35.65790   52.14930

   13.14422   13.21632   13.34430   13.51632   13.72859   13.98225   14.28213
   14.63677   15.05913   15.56517   16.19210   16.99001   18.00058   19.29949
   21.00309   23.30825   26.58450   31.63071   40.63238   63.54378

   13.43491   13.53199   13.68773   13.89112   14.13913   14.43383   14.78125
   15.19154   15.67978   16.26620   16.99317   17.91057   19.06449   20.55138
   22.50500   25.16302   28.98039   34.97117   46.05958   77.56307


Brems sampling tbl at low E for large Eg
  116.43907  115.78685  109.26489   93.27511   74.69429   58.82611   46.98520
   38.22190   31.74870   26.91381   23.25209   20.42967   18.20840   16.42838
   14.96600   13.73811   12.68546   11.76744   10.95578   10.23055    9.57652

  128.85593  127.97933  117.47625   97.54242   75.58949   58.55575   46.27456
   37.42845   31.01094   26.29343   22.75005   20.03420   17.91101   16.21535
   14.82888   13.66571   12.66802   11.79692   11.02457   10.33123    9.70369

  141.16745  139.96306  124.76856   99.62577   75.22359   57.47638   45.08545
   36.34745   30.11641   25.57792   22.19173   19.60571   17.59372   15.99270
   14.68593   13.59121   12.65175   11.82973   11.09854   10.43908    9.83922

  153.33937  151.73765  130.64356  100.35345   74.04906   55.97334   43.62574
   35.11396   29.11570   24.78873   21.57970   19.13815   17.24560   15.74231
   14.51947   13.49647   12.61785   11.84732   11.15974   10.53665    9.96633

  165.48400  163.30375  135.10113   99.94065   72.26169   54.13029   41.99519
   33.76295   28.04871   23.94788   20.92410   18.63386   16.86385   15.46256
   14.32660   13.37701   12.56151   11.84520   11.20377   10.61956   10.08113

  177.05794  173.90190  137.80932   98.45523   69.95329   52.02676   40.25302
   32.37913   26.96601   23.11428   20.28671   18.15101   16.50466   15.20715
   14.15699   13.28113   12.52913   11.86641   11.27022   10.72365   10.21608

  188.43796  183.72240  139.10271   96.21679   67.26921   49.64572   38.41142
   30.95974   25.88487   22.28399   19.65531   17.67295   16.15043   14.95364
   13.98877   13.18725   12.49981   11.89249   11.34278   10.83406   10.35699

  199.57485  192.76632  138.98360   93.48391   64.38642   47.17914   36.50694
   29.52520   24.80561   21.46902   19.03809   17.20898   15.80545   14.70714
   13.82726   13.10007   12.47773   11.92653   11.42353   10.95238   10.50490

  210.38915  200.46358  137.51396   90.17272   61.32669   44.71575   34.62115
   28.13033   23.76679   20.68230   18.44626   16.76696   15.47914   14.47824
   13.68113   13.02630   12.46695   11.96987   11.51179   11.07687   10.65758

  221.04023  207.19614  135.02985   86.39907   58.15281   42.32144   32.88139
   26.85453   22.80917   19.96850   17.90930   16.36714   15.19085   14.28473
   13.57052   12.98708   12.48840   12.04131   11.62418   11.22183   10.82801

  205.48949  192.38227  124.22563   74.96824   50.18340   36.90075   29.03531
   24.03980   20.65210   18.25453   16.50235   15.18789   14.18939   13.41861
   12.81400   12.32553   11.91227   11.54312   11.19445   10.85144   10.50796

  215.06615  197.37608  119.93265   70.93858   47.40198   34.97915   27.67403
   23.04953   19.91553   17.70081   16.08734   14.88632   13.98218   13.29423
   12.75966   12.33162   11.96987   11.64316   11.32790   11.01021   10.68484

  224.41732  201.21946  114.96553   66.94062   44.74448   33.18615   26.41226
   22.13319   19.24017   17.19646   15.71705   14.62545   13.81463   13.20481
   12.73802   12.36717   12.05353   11.76564   11.48033   11.18457   10.87468

  233.57235  203.34119  109.57615   63.04140   42.23170   31.49119   25.25439
   21.29324   18.61543   16.74253   15.39222   14.40930   13.68590   13.15163
   12.74803   12.43145   12.16270   11.90986   11.65121   11.37435   11.07701

  242.55807  204.12327  103.92074   59.29355   39.87534   29.93847   24.16486
   20.52083   18.05434   16.33959   15.11576   14.23471   13.59752   13.13401
   12.79059   12.52414   12.29636   12.07539   11.83944   11.57822   11.29059

  251.39853  203.18498   98.16724   55.72826   37.67870   28.49017   23.18246
   19.81639   17.55112   15.98786   14.88786   14.10357   13.54715   13.15120
   12.86452   12.64437   12.45347   12.26043   12.04415   11.79531   11.51509

  260.11503  200.52686   92.44758   52.36714   35.64351   27.18633   22.26960
   19.18022   17.11202   15.69505   14.70607   14.01596   13.53611   13.20239
   12.96787   12.79071   12.63253   12.46384   12.26390   12.02468   11.74920

  268.72613  196.53087   86.84580   49.22227   33.76545   25.94673   21.44455
   18.61191   16.72472   15.44971   14.57292   13.97019   13.56078   13.28588
   13.09941   12.96067   12.83206   12.68415   12.49728   12.26520   11.99201

  277.24803  191.19750   81.43388   46.29855   32.03866   24.84749   20.70609
   18.11083   16.40097   15.25919   14.48574   13.96444   13.61988   13.39988
   13.25715   13.15275   13.05010   12.91984   12.74334   12.51545   12.24273

  285.69472  184.71790   76.27175   43.58904   30.45651   23.84666   20.03401
   17.66608   16.13439   15.11570   14.43944   13.99527   13.71226   13.54083
   13.43847   13.36554   13.28557   13.16972   13.00035   12.77448   12.50023

  294.07830  177.47391   71.38347   41.09149   29.01008   22.94061   19.44553
   17.29723   15.92436   15.02269   14.43630   14.06078   13.83535   13.70872
   13.64201   13.59641   13.53603   13.43190   13.26762   13.04152   12.76369

  302.38109  169.27510   66.79304   38.79179   27.68970   22.12539   18.93876
   16.99299   15.76428   14.97224   14.46861   14.15920   13.98299   13.89817
   13.86448   13.84342   13.79958   13.70423   13.54206   13.31384   13.03108

  310.81765  160.88468   62.53634   36.70179   26.49987   21.40285   18.49561
   16.75389   15.66050   14.97213   14.54403   14.29404   14.16509   14.11732
   14.11265   14.11334   14.08314   13.99382   13.83183   13.59872   13.30925

  319.22140  152.11214   58.57765   34.79085   25.42120   20.72582   18.13127
   16.56758   15.60581   15.01028   14.65211   14.45471   14.36924   14.35537
   14.37711   14.39689   14.37788   14.29208   14.12759   13.88863   13.59096

  327.30548  143.33911   54.89316   33.02836   24.43205   20.16388   17.80347
   16.42151   15.58075   15.07074   14.77738   14.62892   14.58181   14.59782
   14.64363   14.67951   14.66914   14.58508   14.41688   14.17075   13.86440

  334.74648  134.37499   51.42329   31.38133   23.51079   19.62974   17.52697
   16.30313   15.57193   15.14135   14.90179   14.79739   14.78419   14.82841
   14.89522   14.94451   14.94101   14.85790   14.68525   14.43182   14.11721

  341.22219  125.41062   48.16804   29.82385   22.64176   19.15620   17.26072
   16.19027   15.56028   15.19880   15.01256   14.94616   14.96277   15.03078
   15.11481   15.17671   15.17871   15.09581   14.91926   14.65908   14.33701

  346.46580  116.63681   45.07974   28.33942   21.81078   18.65902   17.00203
   16.07121   15.53290   15.23121   15.08928   15.05778   15.10147   15.19047
   15.29017   15.36191   15.36947   15.28665   15.10691   14.84190   14.51392

  350.30069  108.05363   42.14646   26.91627   21.01113   18.21389   16.74947
   15.93491   15.47119   15.23077   15.12934   15.12697   15.19276   15.29918
   15.41160   15.49266   15.50449   15.42308   15.24146   14.97315   14.64129

  352.61781   99.66111   39.38014   25.55204   20.23537   17.73933   16.46376
   15.77044   15.38084   15.18961   15.12000   15.14326   15.22800   15.34877
   15.47300   15.56157   15.57841   15.49913   15.31810   15.04868   14.71512

  353.49490   91.65003   36.75692   24.24673   19.48722   17.31529   16.18345
   15.57805   15.25597   15.10405   15.06640   15.11014   15.21087   15.34373
   15.47627   15.57223   15.59399   15.51830   15.33931   15.07116   14.73813

  352.99202   84.21116   34.30066   23.00507   18.76444   16.82324   15.87034
   15.36796   15.09651   14.98166   14.96846   15.02932   15.14257   15.28400
   15.42416   15.52617   15.55324   15.48218   15.30718   15.04226   14.71226

  351.20788   77.15375   31.98751   21.82704   18.06703   16.38079   15.56219
   15.11947   14.90848   14.82241   14.82870   14.90250   15.02433   15.17325
   15.31942   15.42656   15.45993   15.39440   15.22520   14.96595   14.64076

  348.34837   70.66857   29.82938   20.71736   17.40022   15.95088   15.22220
   14.86406   14.68613   14.63033   14.65227   14.73672   14.86735   15.02056
   15.17091   15.28288   15.32183   15.26319   15.10131   14.84937   14.53081

  344.63040   64.56487   27.81436   19.68074   16.76549   15.49492   14.88860
   14.59157   14.44774   14.41302   14.44924   14.54235   14.67649   14.83408
   14.98752   15.10354   15.14805   15.09708   14.94377   14.70035   14.38999

  340.03965   58.84265   25.95435   18.70539   16.15762   15.08917   14.56028
   14.30141   14.18690   14.17031   14.21697   14.31585   14.45427   14.61291
   14.76791   14.88756   14.93786   14.89521   14.75162   14.51814   14.21714

  334.78803   53.88341   24.22552   17.79837   15.57811   14.65586   14.19973
   13.99387   13.90984   13.90989   13.96305   14.06766   14.20558   14.36524
   14.52101   14.64390   14.69995   14.66580   14.53257   14.31016   14.01987

  328.93596   49.11491   22.63977   16.95263   15.02471   14.23325   13.86331
   13.68910   13.62235   13.62779   13.68992   13.79598   13.93540   14.09378
   14.25025   14.37469   14.43641   14.41089   14.28912   14.07868   13.79987


 constant for Brems sampling table at high energies
  7.088607826507923E-004  70.8860782650792  1.85056094990333  50  5.000000000000000E-002  .100000000000000  5630681.34148277  5.000000000000000E-002  .200000000000000  1.00000000000000  17  .000000000000000  .668740304976422  16  15  4.458268699842813E-002  50  7.500000000000000E-002  335398.371739643  4.00000000000000

Gten    
Brems total X-sec. table with C.S+LPM upto E=  5630681.34148278 GeV
  70.8861  12.7159
  89.2403  12.4408
  112.347  12.2683
  141.436  12.0720
  178.058  11.8538
  224.161  11.6190
  282.203  11.3694
  355.272  11.1081
  447.261  10.8413
  563.068  10.5638
  708.861  10.2805
  892.403  9.99065
  1123.47  9.69973
  1414.36  9.40472
  1780.58  9.10775
  2241.61  8.80937
  2822.03  8.50915
  3552.72  8.20757
  4472.61  7.90520
  5630.68  7.60611
  7088.61  7.30468
  8924.03  7.00397
  11234.7  6.70669
  14143.6  6.40926
  17805.8  6.11396
  22416.1  5.82272
  28220.3  5.53360
  35527.2  5.24830
  44726.1  4.96850
  56306.8  4.69300
  70886.1  4.42399
  89240.3  4.16086
  112347.  3.90535
  141436.  3.65700
  178058.  3.41740
  224161.  3.18637
  282203.  2.96420
  355272.  2.75188
  447261.  2.54925
  563068.  2.35655
  708861.  2.17379
  892403.  2.00143
  1.123469E+06  1.83914
  1.414363E+06  1.68684
  1.780578E+06  1.54435
  2.241614E+06  1.41145
  2.822026E+06  1.28787
  3.552720E+06  1.17321
  4.472609E+06  1.06732
  5.630681E+06  .969652

Brems with LPM sampling tbl for small Eg
     .35576     .29231     .24272     .20324     .17149     .14580     .12495
     .10817     .09491     .08427     .07571     .06868     .06283     .05788
     .05359     .04976     .04606

     .36221     .29847     .24858     .20881     .17676     .15080     .12965
     .11275     .09932     .08857     .07975     .07253     .06649     .06135
     .05688     .05285     .04886

     .36782     .30408     .25411     .21419     .18197     .15582     .13450
     .11749     .10391     .09292     .08399     .07659     .07036     .06503
     .06036     .05612     .05183

     .37371     .31000     .25995     .21989     .18750     .16116     .13967
     .12252     .10878     .09767     .08854     .08093     .07450     .06897
     .06410     .05964     .05499

     .37992     .31624     .26612     .22594     .19338     .16685     .14519
     .12795     .11404     .10272     .09339     .08557     .07893     .07319
     .06810     .06339     .05836

     .38638     .32274     .27258     .23228     .19956     .17281     .15109
     .13371     .11964     .10811     .09855     .09051     .08365     .07769
     .07237     .06741     .06194

     .39307     .32952     .27932     .23892     .20605     .17914     .15736
     .13983     .12557     .11383     .10405     .09578     .08868     .08248
     .07693     .07170     .06575

     .40006     .33660     .28638     .24589     .21290     .18576     .16395
     .14628     .13184     .11988     .10986     .10135     .09402     .08758
     .08178     .07627     .06979

     .40732     .34397     .29376     .25321     .22010     .19294     .17088
     .15307     .13843     .12626     .11600     .10725     .09967     .09299
     .08693     .08112     .07407

     .41470     .35149     .30131     .26070     .22745     .20020     .17828
     .16031     .14547     .13305     .12255     .11355     .10571     .09876
     .09243     .08631     .07862

     .42242     .35938     .30925     .26862     .23523     .20812     .18596
     .16785     .15280     .14016     .12942     .12015     .11206     .10485
     .09824     .09180     .08340

     .43038     .36754     .31748     .27685     .24337     .21626     .19401
     .17575     .16051     .14764     .13665     .12713     .11877     .11129
     .10439     .09762     .08846

     .43845     .37583     .32588     .28528     .25176     .22466     .20257
     .18415     .16870     .15559     .14433     .13454     .12591     .11814
     .11095     .10382     .09383

     .44685     .38449     .33467     .29404     .26065     .23376     .21141
     .19286     .17721     .16387     .15236     .14230     .13339     .12535
     .11785     .11036     .09947

     .45548     .39341     .34376     .30319     .27012     .24310     .22066
     .20198     .18614     .17256     .16080     .15048     .14129     .13295
     .12514     .11728     .10540

     .46433     .40259     .35314     .31262     .27968     .25284     .23034
     .21153     .19549     .18168     .16966     .15907     .14960     .14097
     .13284     .12459     .11166

     .47342     .41203     .36282     .32256     .28982     .26301     .24046
     .22151     .20527     .19124     .17896     .16810     .15834     .14941
     .14096     .13231     .11824

     .48274     .42175     .37267     .33282     .30038     .27349     .25101
     .23192     .21550     .20124     .18871     .17757     .16753     .15830
     .14951     .14045     .12515

     .49233     .43178     .38294     .34350     .31125     .28451     .26197
     .24274     .22614     .21166     .19888     .18748     .17715     .16761
     .15849     .14902     .13239

     .50217     .44210     .39369     .35467     .32266     .29596     .27337
     .25401     .23724     .22254     .20952     .19785     .18724     .17739
     .16793     .15803     .13999

     .51225     .45271     .40485     .36625     .33446     .30783     .28521
     .26574     .24880     .23389     .22063     .20870     .19780     .18764
     .17783     .16750     .14795

     .52265     .46358     .41630     .37815     .34660     .32007     .29742
     .27786     .26076     .24566     .23217     .21998     .20881     .19834
     .18819     .17741     .15625

     .53337     .47476     .42804     .39035     .35906     .33264     .31000
     .29036     .27313     .25784     .24414     .23170     .22025     .20949
     .19899     .18776     .16489

     .54419     .48652     .44064     .40333     .37225     .34591     .32325
     .30351     .28612     .27065     .25671     .24403     .23230     .22123
     .21037     .19868     .17397

     .55538     .49850     .45318     .41634     .38553     .35931     .33668
     .31688     .29938     .28374     .26961     .25669     .24470     .23333
     .22213     .20998     .18335

     .56669     .51109     .46654     .43012     .39953     .37340     .35076
     .33090     .31327     .29746     .28312     .26996     .25771     .24604
     .23448     .22186     .19318

     .57847     .52386     .48033     .44393     .41362     .38763     .36503
     .34513     .32741     .31146     .29694     .28357     .27107     .25912
     .24722     .23413     .20330

     .59083     .53724     .49398     .45847     .42838     .40250     .37993
     .35998     .34216     .32606     .31136     .29777     .28502     .27279
     .26054     .24698     .21450

     .60338     .55075     .50852     .47304     .44323     .41751     .39499
     .37503     .35714     .34093     .32607     .31230     .29932     .28681
     .27424     .26020     .22649

     .61608     .56483     .52289     .48825     .45869     .43310     .41064
     .39066     .37269     .35636     .34135     .32739     .31419     .30141
     .28850     .27399     .23902

     .62964     .57903     .53808     .50348     .47423     .44882     .42643
     .40647     .38847     .37205     .35691     .34278     .32937     .31634
     .30312     .28815     .25193

     .64301     .59372     .55310     .51930     .49032     .46506     .44275
     .42279     .40474     .38824     .37298     .35869     .34508     .33181
     .31826     .30283     .26536

     .65708     .60850     .56883     .53513     .50647     .48140     .45919
     .43928     .42121     .40465     .38929     .37486     .36108     .34758
     .33374     .31786     .27914

     .67098     .62368     .58440     .55147     .52308     .49818     .47607
     .45620     .43812     .42151     .40606     .39150     .37754     .36383
     .34969     .33336     .29341

     .68545     .63893     .60058     .56805     .53971     .51503     .49305
     .47324     .45518     .43854     .42302     .40835     .39425     .38034
     .36593     .34917     .30801

     .69974     .65449     .61656     .58451     .55672     .53224     .51039
     .49065     .47261     .45595     .44037     .42560     .41137     .39726
     .38259     .36540     .32305

     .71446     .67005     .63305     .60143     .57395     .54948     .52777
     .50812     .49013     .47346     .45785     .44301     .42866     .41439
     .39947     .38188     .33838

     .72899     .68585     .64929     .61817     .59103     .56700     .54544
     .52589     .50794     .49129     .47565     .46075     .44629     .43186
     .41671     .39871     .35410

     .74378     .70152     .66591     .63524     .60840     .58459     .56320
     .54375     .52587     .50924     .49359     .47865     .46410     .44954
     .43416     .41578     .37010

     .75842     .71748     .68256     .65218     .62571     .60216     .58095
     .56163     .54383     .52724     .51160     .49663     .48202     .46734
     .45176     .43301     .38634

     .77318     .73315     .69900     .66931     .64317     .61986     .59883
     .57963     .56192     .54539     .52977     .51478     .50012     .48533
     .46957     .45047     .40284

     .78787     .74907     .71564     .68644     .66065     .63743     .61660
     .59755     .57994     .56348     .54790     .53292     .51822     .50335
     .48742     .46799     .41949

     .80227     .76478     .73209     .70327     .67785     .65508     .63445
     .61555     .59805     .58166     .56613     .55116     .53644     .52149
     .50542     .48567     .43636

     .81665     .78020     .74833     .72019     .69514     .67263     .65220
     .63345     .61607     .59978     .58429     .56936     .55462     .53962
     .52342     .50337     .45334

     .83072     .79570     .76461     .73700     .71233     .68992     .66972
     .65115     .63390     .61771     .60230     .58741     .57269     .55765
     .54133     .52101     .47034

     .84468     .81090     .78061     .75340     .72913     .70719     .68721
     .66880     .65169     .63560     .62027     .60543     .59073     .57566
     .55924     .53867     .48744

     .85836     .82583     .79627     .76978     .74590     .72425     .70447
     .68625     .66927     .65330     .63806     .62328     .60861     .59353
     .57703     .55622     .50454

     .87171     .84040     .81182     .78590     .76241     .74105     .72149
     .70344     .68662     .67076     .65562     .64092     .62628     .61120
     .59464     .57362     .52157

     .88467     .85480     .82709     .80174     .77866     .75745     .73814
     .72030     .70363     .68790     .67287     .65825     .64367     .62861
     .61199     .59078     .53849

     .89735     .86880     .84195     .81706     .79442     .77367     .75460
     .73694     .72043     .70483     .68991     .67537     .66086     .64582
     .62917     .60777     .55533


Brems with LPM smp tbl; (sqrt(v)-sqrt(vmin)/(1-u)
   12.49799   12.50766   12.50039   12.52269   12.54635   12.62656   12.75359
   12.94674   13.20343   13.47358   13.66524   13.67226   13.45296   13.05578
   12.56778   12.06583

   12.39510   12.38698   12.39850   12.40691   12.44886   12.51740   12.64546
   12.83728   13.08974   13.35814   13.55029   13.56191   13.35005   12.96052
   12.47885   11.98159

   12.27528   12.26629   12.27774   12.28740   12.31975   12.39530   12.52186
   12.70928   12.95799   13.22341   13.41668   13.43348   13.22998   12.84925
   12.37498   11.88329

   12.14044   12.14560   12.14376   12.16528   12.18983   12.26029   12.37973
   12.56621   12.81025   13.07205   13.26574   13.28857   13.09456   12.72369
   12.25792   11.77250

   11.99141   11.99473   11.99468   11.99234   12.04383   12.10614   12.22531
   12.40635   12.64656   12.90480   13.09936   13.12817   12.94452   12.58459
   12.12813   11.64976

   11.83118   11.84386   11.83428   11.86501   11.88185   11.94545   12.05855
   12.23648   12.46990   12.72553   12.92013   12.95545   12.78261   12.43446
   11.98827   11.51752

   11.66125   11.66281   11.66445   11.68798   11.70415   11.77206   11.88262
   12.05494   12.28443   12.53488   12.72990   12.77200   12.61052   12.27485
   11.83941   11.37692

   11.48153   11.48176   11.48518   11.50910   11.52588   11.58590   11.69750
   11.86511   12.08703   12.33359   12.52825   12.57726   12.42786   12.10530
   11.68142   11.22783

   11.29344   11.30071   11.29647   11.32835   11.33183   11.39329   11.50317
   11.66361   11.88087   12.12300   12.31747   12.37316   12.23602   11.92724
   11.51553   11.07127

   11.10242   11.08948   11.10588   11.09943   11.13776   11.20071   11.30277
   11.46231   11.67187   11.90882   12.10318   12.16554   12.04040   11.74556
   11.34636   10.91180

   10.90282   10.90842   10.90585   10.91646   10.94304   11.00162   11.09621
   11.24931   11.45412   11.68538   11.87892   11.94770   11.83543   11.55500
   11.16891   10.74455

   10.69833   10.69719   10.70016   10.73238   10.73279   10.78992   10.88670
   11.03313   11.23158   11.45718   11.64949   11.72428   11.62452   11.35891
   10.98628   10.57257

   10.49326   10.48596   10.49637   10.50087   10.52276   10.58463   10.67421
   10.81543   11.00729   11.22808   11.41882   11.49994   11.41228   11.16132
   10.80230   10.39949

   10.28214   10.27473   10.28502   10.31570   10.31220   10.36660   10.45564
   10.59287   10.77725   10.99231   11.18177   11.26824   11.19271   10.95694
   10.61202   10.22055

   10.06837   10.06350   10.06990   10.08197   10.10150   10.14856   10.23407
   10.36543   10.54552   10.75374   10.94134   11.03290   10.96962   10.74893
   10.41846   10.03861

    9.85251    9.85227    9.85479    9.84826    9.89082    9.93058   10.01259
   10.13815   10.31101   10.51300   10.69842   10.79486   10.74344   10.53790
   10.22194    9.85408

    9.63493    9.64104    9.63779    9.66198    9.66480    9.71261    9.78813
    9.90936   10.07477   10.27076   10.45392   10.55474   10.51439   10.32404
   10.02277    9.66715

    9.41587    9.42981    9.41702    9.42717    9.43863    9.48836    9.56072
    9.67741    9.83785   10.02703   10.20738   10.31195   10.28303   10.10756
    9.82125    9.47807

    9.19480    9.18840    9.19626    9.19237    9.22767    9.26412    9.33338
    9.44562    9.59817    9.78181    9.95838   10.06684   10.04843    9.88790
    9.61669    9.28626

    8.97293    8.97717    8.97549    9.00538    9.00149    9.03996    9.10615
    9.21232    9.35879    9.53572    9.70911    9.82028    9.81217    9.66624
    9.41012    9.09274

    8.75051    8.73577    8.75284    8.77023    8.77529    8.80956    8.87599
    8.97756    9.11871    9.28944    9.45870    9.57264    9.57429    9.44287
    9.20186    8.89769

    8.52641    8.52454    8.52831    8.53472    8.54899    8.58543    8.64588
    8.74293    8.87688    9.04101    9.20676    9.32273    9.33373    9.21642
    8.99073    8.69996

    8.30073    8.31331    8.30189    8.29885    8.32260    8.35505    8.41587
    8.50681    8.63436    8.79175    8.95327    9.07053    9.09027    8.98706
    8.77667    8.49964

    8.07846    8.07190    8.07925    8.06373    8.09648    8.13108    8.18598
    8.27254    8.39508    8.54669    8.70372    8.82171    8.84976    8.76002
    8.56450    8.30113

    7.85238    7.86067    7.85284    7.87566    7.87009    7.90080    7.95617
    8.03676    8.15310    8.29762    8.45011    8.56860    8.60405    8.52759
    8.34730    8.09963

    7.62972    7.61926    7.63020    7.64057    7.64402    7.67694    7.72648
    7.80450    7.91435    8.05273    8.20043    8.31886    8.36131    8.29729
    8.13185    7.89984

    7.40407    7.40803    7.40568    7.40512    7.41786    7.44684    7.49386
    7.56910    7.67293    7.80514    7.94757    8.06545    8.11430    8.06266
    7.91199    7.69557

    7.18167    7.19680    7.18305    7.17005    7.19184    7.22308    7.26742
    7.33715    7.43570    7.56104    7.69860    7.81570    7.87001    7.82985
    7.69373    7.48536

    6.95717    6.95540    6.95854    6.98239    6.98085    6.99929    7.03799
    7.10370    7.19577    7.31549    7.44771    7.56347    7.62257    7.59371
    7.47549    7.27646

    6.73569    6.74417    6.73591    6.74734    6.75489    6.77564    6.81174
    6.87208    6.96005    7.07345    7.20029    7.31430    7.37789    7.35927
    7.25583    7.06909

    6.51301    6.50276    6.51329    6.51231    6.52895    6.54582    6.58258
    6.64066    6.72363    6.83056    6.95178    7.06384    7.13091    7.12217
    7.03230    6.85214

    6.29324    6.29153    6.29445    6.27803    6.30328    6.32238    6.35961
    6.41269    6.49037    6.59177    6.70712    6.81669    6.88667    6.89061
    6.80372    6.64281

    6.07310    6.08031    6.07372    6.09115    6.09263    6.10514    6.13364
    6.18486    6.25736    6.35273    6.46260    6.56881    6.64143    6.65450
    6.57725    6.42699

    5.85593    5.86908    5.85676    5.85727    5.86712    5.88185    5.91391
    5.96051    6.02753    6.11716    6.22191    6.32481    6.39890    6.41925
    6.35245    6.21812

    5.63919    5.62767    5.63981    5.62340    5.65680    5.66483    5.69121
    5.73631    5.79892    5.88257    5.98175    6.08125    6.15643    6.18246
    6.12232    6.00529

    5.42563    5.41644    5.42664    5.43804    5.43155    5.44796    5.47470
    5.51556    5.57445    5.65265    5.74578    5.84149    5.92115    5.94756
    5.89869    5.79925

    5.21323    5.20522    5.21346    5.20493    5.22150    5.23737    5.25826
    5.29659    5.35117    5.42368    5.51155    5.60329    5.68281    5.70799
    5.67257    5.59132

    5.00437    4.99399    5.00407    5.02033    5.01168    5.02690    5.04497
    5.08107    5.13103    5.19935    5.28190    5.36915    5.44732    5.47612
    5.45314    5.39038

    4.79804    4.81293    4.79844    4.78874    4.80216    4.81659    4.83786
    4.86898    4.91499    4.97840    5.05514    5.14023    5.21401    5.24369
    5.23745    5.18970

    4.59430    4.60171    4.59471    4.60527    4.60788    4.61256    4.63082
    4.65866    4.70208    4.76022    4.83211    4.91563    4.97994    5.01766
    5.02104    4.99513

    4.39442    4.39048    4.39475    4.37482    4.39875    4.40871    4.42694
    4.45342    4.49324    4.54723    4.61398    4.69236    4.75378    4.79709
    4.81051    4.80250

    4.19760    4.20943    4.19857    4.19286    4.20499    4.21119    4.22617
    4.25158    4.28750    4.33757    4.39951    4.47249    4.53186    4.57745
    4.60653    4.61449

    4.00526    3.99820    4.00616    4.01165    4.01148    4.02002    4.03153
    4.05478    4.08774    4.13305    4.19273    4.25504    4.31325    4.36495
    4.40656    4.43354

    3.81693    3.81715    3.81753    3.83119    3.81823    3.82899    3.84002
    3.86138    3.89202    3.93366    3.98872    4.04551    4.10326    4.16073
    4.21432    4.25588

    3.63256    3.63610    3.63267    3.65149    3.64036    3.64429    3.65463
    3.67299    3.70032    3.73877    3.78909    3.84152    3.89708    3.96050
    4.02554    4.08527

    3.45328    3.45504    3.45347    3.47291    3.46286    3.46598    3.47237
    3.48963    3.51458    3.54957    3.59502    3.64187    3.70083    3.77005
    3.84414    3.91864

    3.27872    3.27399    3.27804    3.29508    3.28561    3.28780    3.29623
    3.31128    3.33475    3.36786    3.40686    3.45131    3.50961    3.58444
    3.67091    3.75818

    3.10909    3.12312    3.11017    3.11875    3.10885    3.11606    3.12624
    3.13958    3.15892    3.18938    3.22464    3.26587    3.32612    3.40679
    3.50263    3.60377

    2.94439    2.94207    2.94418    2.94280    2.94735    2.95060    2.95931
    2.97122    2.98995    3.01651    3.04628    3.08914    3.15182    3.23785
    3.34125    3.45630

    2.78532    2.79119    2.78573    2.76835    2.78633    2.79156    2.79853
    2.80949    2.82591    2.84986    2.87739    2.91879    2.98404    3.07533
    3.18898    3.31405


 constant for Pair  sampling table at low energies
  1.100000000000000E-003 -2.95860731484178  8.000000000000000E-003  70.8860782650792  19457.1428571429  48  48  5.000000000000000E-002  1.00000000000000  21  4.750000000000000E-002  .102322729037130  .000000000000000  .472870804501588  21  2.364354022507940E-002  .102322729037130  4.665918281769980E-002

Gten    
total pair x-sec. at low E
  1.100000E-03  4.151311E-05
  1.392244E-03  2.345197E-03
  1.762131E-03  1.000034E-02
  2.230288E-03  2.342345E-02
  2.822823E-03  4.200592E-02
  3.572780E-03  6.492803E-02
  4.521985E-03  9.141725E-02
  5.723370E-03  .120809
  7.243935E-03  .152544
  9.168478E-03  .186313
  1.160433E-02  .221623
  1.468732E-02  .257525
  1.858940E-02  .293723
  2.352817E-02  .329973
  2.977905E-02  .366054
  3.769065E-02  .401724
  4.770417E-02  .436679
  6.037805E-02  .470551
  7.641908E-02  .502956
  9.672184E-02  .533550
  .122419  .562069
  .154942  .588343
  .196107  .612284
  .248208  .633875
  .314151  .653159
  .397613  .670232
  .503250  .685232
  .636952  .698325
  .806175  .709691
  1.02036  .719510
  1.29144  .727957
  1.63455  .735195
  2.06881  .741375
  2.61844  .746632
  3.31410  .751089
  4.19458  .754856
  5.30898  .758028
  6.71945  .760692
  8.50465  .762923
  10.7641  .764786
  13.6239  .766339
  17.2435  .767630
  21.8247  .768700
  27.6229  .769586
  34.9617  .770318
  44.2502  .770923
  56.0065  .771421
  70.8861  .771831

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

     .12283     .11900     .11632     .11427     .11261     .11122     .11006
     .10905     .10820     .10744     .10681     .10624     .10577     .10536
     .10501     .10472     .10450     .10431     .10418     .10414     .10410

     .19395     .18790     .18367     .18044     .17783     .17567     .17384
     .17229     .17093     .16978     .16877     .16790     .16717     .16653
     .16599     .16554     .16520     .16490     .16471     .16468     .16458

     .25017     .24243     .23706     .23297     .22968     .22696     .22467
     .22273     .22106     .21961     .21837     .21730     .21638     .21559
     .21495     .21439     .21395     .21363     .21341     .21328     .21320

     .29470     .28574     .27959     .27493     .27121     .26816     .26560
     .26343     .26159     .26000     .25864     .25745     .25644     .25560
     .25489     .25430     .25384     .25347     .25325     .25299     .25301

     .33006     .32032     .31371     .30875     .30482     .30163     .29896
     .29673     .29484     .29322     .29183     .29065     .28962     .28876
     .28808     .28749     .28700     .28666     .28643     .28628     .28621

     .35825     .34811     .34131     .33628     .33234     .32915     .32654
     .32435     .32251     .32095     .31963     .31852     .31759     .31678
     .31611     .31558     .31516     .31483     .31462     .31446     .31441

     .38086     .37061     .36388     .35893     .35512     .35207     .34961
     .34757     .34589     .34447     .34326     .34226     .34144     .34075
     .34017     .33970     .33936     .33906     .33885     .33875     .33873

     .39909     .38901     .38249     .37779     .37420     .37139     .36915
     .36732     .36583     .36460     .36359     .36276     .36206     .36150
     .36105     .36069     .36040     .36019     .36004     .36000     .35993

     .41348     .40386     .39787     .39367     .39055     .38819     .38634
     .38490     .38375     .38285     .38212     .38156     .38113     .38077
     .38051     .38029     .38014     .38003     .37994     .37998     .37991

     .42626     .41730     .41183     .40808     .40537     .40336     .40185
     .40072     .39986     .39922     .39874     .39840     .39814     .39798
     .39788     .39781     .39777     .39775     .39771     .39775     .39772

     .43675     .42848     .42354     .42026     .41794     .41630     .41514
     .41431     .41374     .41337     .41314     .41302     .41297     .41301
     .41305     .41310     .41319     .41323     .41332     .41328     .41335

     .44543     .43788     .43348     .43064     .42874     .42747     .42662
     .42612     .42583     .42571     .42573     .42584     .42600     .42619
     .42641     .42660     .42681     .42696     .42709     .42721     .42716

     .45267     .44583     .44195     .43957     .43806     .43713     .43664
     .43640     .43641     .43656     .43681     .43714     .43751     .43787
     .43825     .43857     .43890     .43913     .43930     .43934     .43945

     .45877     .45261     .44927     .44732     .44619     .44562     .44541
     .44550     .44576     .44616     .44665     .44720     .44776     .44831
     .44884     .44930     .44971     .45004     .45031     .45051     .45049

     .46395     .45847     .45562     .45409     .45335     .45311     .45322
     .45359     .45414     .45479     .45552     .45628     .45704     .45777
     .45846     .45906     .45959     .46001     .46031     .46059     .46058

     .46840     .46357     .46122     .46011     .45974     .45985     .46027
     .46095     .46178     .46270     .46367     .46466     .46563     .46656
     .46741     .46815     .46880     .46931     .46969     .46988     .47002

     .47226     .46807     .46624     .46554     .46556     .46601     .46679
     .46779     .46890     .47010     .47134     .47257     .47377     .47488
     .47592     .47684     .47763     .47825     .47871     .47899     .47906

     .47564     .47212     .47077     .47054     .47095     .47179     .47291
     .47423     .47566     .47716     .47868     .48018     .48160     .48294
     .48414     .48522     .48613     .48685     .48742     .48769     .48783

     .47865     .47577     .47496     .47519     .47602     .47724     .47873
     .48040     .48216     .48395     .48575     .48749     .48917     .49072
     .49214     .49337     .49443     .49523     .49588     .49623     .49636

     .48133     .47913     .47885     .47955     .48081     .48243     .48428
     .48630     .48836     .49047     .49254     .49455     .49646     .49823
     .49983     .50123     .50242     .50334     .50407     .50451     .50461

     .48376     .48223     .48250     .48366     .48535     .48737     .48959
     .49190     .49430     .49668     .49903     .50129     .50342     .50540
     .50720     .50876     .51009     .51115     .51191     .51242     .51252

     .48598     .48511     .48592     .48753     .48962     .49201     .49456
     .49723     .49992     .50257     .50517     .50769     .51003     .51223
     .51419     .51592     .51735     .51852     .51933     .51985     .52004

     .48801     .48779     .48911     .49115     .49364     .49637     .49924
     .50220     .50519     .50810     .51096     .51369     .51627     .51864
     .52078     .52266     .52424     .52549     .52638     .52698     .52714

     .48985     .49027     .49207     .49454     .49737     .50043     .50361
     .50685     .51008     .51325     .51635     .51931     .52208     .52462
     .52694     .52894     .53066     .53197     .53300     .53352     .53377

     .49155     .49257     .49481     .49767     .50083     .50419     .50766
     .51114     .51462     .51803     .52133     .52449     .52745     .53018
     .53262     .53478     .53659     .53800     .53905     .53965     .53991

     .49312     .49467     .49734     .50052     .50399     .50763     .51134
     .51509     .51877     .52239     .52591     .52924     .53236     .53525
     .53785     .54011     .54201     .54353     .54463     .54524     .54554

     .49455     .49660     .49964     .50315     .50689     .51077     .51472
     .51867     .52258     .52638     .53005     .53355     .53684     .53986
     .54257     .54496     .54693     .54852     .54968     .55044     .55064

     .49584     .49836     .50173     .50551     .50951     .51360     .51776
     .52188     .52596     .52994     .53377     .53744     .54085     .54400
     .54682     .54931     .55137     .55303     .55427     .55496     .55523

     .49703     .49994     .50362     .50764     .51185     .51615     .52047
     .52478     .52902     .53314     .53711     .54089     .54442     .54768
     .55062     .55318     .55532     .55708     .55827     .55912     .55933

     .49808     .50137     .50531     .50954     .51394     .51840     .52289
     .52734     .53170     .53597     .54006     .54395     .54761     .55096
     .55398     .55663     .55885     .56062     .56192     .56276     .56296

     .49903     .50263     .50680     .51123     .51580     .52041     .52502
     .52960     .53408     .53845     .54267     .54666     .55041     .55385
     .55696     .55965     .56195     .56377     .56506     .56591     .56616

     .49988     .50376     .50813     .51273     .51743     .52217     .52690
     .53160     .53619     .54065     .54496     .54904     .55287     .55640
     .55955     .56232     .56464     .56652     .56787     .56871     .56897

     .50065     .50476     .50931     .51403     .51887     .52370     .52854
     .53333     .53801     .54258     .54696     .55111     .55501     .55861
     .56183     .56466     .56702     .56893     .57034     .57118     .57142

     .50132     .50565     .51033     .51519     .52011     .52505     .52998
     .53486     .53961     .54426     .54871     .55292     .55688     .56054
     .56380     .56667     .56908     .57101     .57239     .57331     .57356

     .50192     .50643     .51124     .51619     .52121     .52624     .53123
     .53618     .54101     .54569     .55020     .55449     .55851     .56220
     .56552     .56844     .57088     .57281     .57427     .57512     .57541

     .50244     .50709     .51202     .51706     .52216     .52725     .53231
     .53731     .54221     .54695     .55152     .55584     .55990     .56363
     .56700     .56994     .57244     .57440     .57583     .57675     .57701

     .50289     .50769     .51270     .51782     .52297     .52813     .53325
     .53830     .54322     .54802     .55263     .55700     .56111     .56487
     .56828     .57125     .57374     .57576     .57722     .57806     .57838

     .50329     .50820     .51329     .51846     .52368     .52888     .53405
     .53913     .54412     .54894     .55360     .55800     .56213     .56594
     .56937     .57236     .57489     .57690     .57836     .57920     .57955

     .50364     .50863     .51380     .51902     .52428     .52953     .53473
     .53986     .54489     .54975     .55442     .55886     .56301     .56685
     .57029     .57331     .57582     .57788     .57934     .58018     .58055

     .50394     .50901     .51424     .51951     .52481     .53008     .53531
     .54047     .54551     .55043     .55511     .55958     .56376     .56760
     .57108     .57409     .57664     .57869     .58015     .58100     .58140

     .50421     .50934     .51460     .51993     .52524     .53056     .53583
     .54099     .54606     .55099     .55572     .56020     .56439     .56825
     .57173     .57477     .57733     .57940     .58088     .58181     .58211

     .50444     .50962     .51493     .52028     .52563     .53095     .53625
     .54145     .54652     .55147     .55621     .56070     .56492     .56880
     .57230     .57536     .57794     .57999     .58145     .58246     .58272

     .50462     .50986     .51520     .52057     .52594     .53130     .53660
     .54182     .54693     .55188     .55664     .56114     .56537     .56927
     .57276     .57585     .57843     .58048     .58194     .58294     .58322

     .50480     .51007     .51542     .52081     .52620     .53158     .53690
     .54212     .54725     .55221     .55699     .56152     .56575     .56964
     .57316     .57624     .57883     .58091     .58243     .58327     .58365

     .50493     .51024     .51562     .52103     .52645     .53182     .53715
     .54240     .54752     .55250     .55729     .56180     .56606     .56997
     .57349     .57656     .57916     .58124     .58275     .58360     .58400

     .50506     .51040     .51578     .52120     .52663     .53201     .53736
     .54262     .54774     .55274     .55751     .56206     .56632     .57024
     .57376     .57685     .57944     .58151     .58308     .58392     .58430

     .50516     .51052     .51593     .52135     .52679     .53219     .53753
     .54280     .54793     .55294     .55774     .56227     .56654     .57045
     .57400     .57708     .57969     .58178     .58324     .58424     .58454


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

     .53778     .53777     .53776     .53775     .53772     .53766     .53760
     .53750     .53739     .53724     .53706     .53685     .53661     .53633
     .53601     .53565     .53525     .53480     .53431     .53377     .53317

     .54468     .54467     .54466     .54464     .54460     .54454     .54446
     .54435     .54421     .54404     .54383     .54358     .54329     .54296
     .54259     .54217     .54169     .54116     .54057     .53993     .53923

     .55595     .55594     .55593     .55590     .55586     .55578     .55568
     .55553     .55536     .55514     .55489     .55457     .55422     .55380
     .55333     .55280     .55220     .55154     .55081     .55000     .54912

     .57126     .57125     .57124     .57120     .57114     .57105     .57092
     .57073     .57052     .57024     .56991     .56951     .56905     .56852
     .56792     .56724     .56649     .56564     .56470     .56368     .56256

     .59017     .59017     .59014     .59010     .59002     .58990     .58974
     .58951     .58922     .58888     .58845     .58795     .58737     .58671
     .58595     .58509     .58412     .58306     .58188     .58058     .57915

     .61216     .61216     .61213     .61207     .61197     .61182     .61162
     .61133     .61098     .61055     .61002     .60940     .60868     .60784
     .60690     .60583     .60463     .60330     .60183     .60021     .59844

     .63663     .63662     .63659     .63652     .63640     .63622     .63596
     .63562     .63519     .63466     .63401     .63326     .63238     .63136
     .63021     .62891     .62745     .62582     .62403     .62206     .61990

     .66295     .66294     .66290     .66283     .66268     .66246     .66215
     .66175     .66123     .66060     .65983     .65893     .65787     .65667
     .65529     .65373     .65198     .65005     .64792     .64556     .64298

     .69048     .69048     .69043     .69034     .69016     .68991     .68955
     .68907     .68848     .68773     .68684     .68578     .68455     .68313
     .68151     .67970     .67765     .67540     .67289     .67014     .66713

     .71860     .71860     .71854     .71844     .71824     .71794     .71753
     .71698     .71629     .71543     .71441     .71319     .71178     .71015
     .70830     .70621     .70388     .70128     .69840     .69525     .69179

     .74672     .74671     .74666     .74653     .74631     .74598     .74551
     .74489     .74411     .74315     .74198     .74061     .73901     .73718
     .73508     .73273     .73008     .72715     .72391     .72035     .71646

     .77430     .77429     .77423     .77409     .77385     .77347     .77295
     .77226     .77139     .77032     .76903     .76750     .76573     .76368
     .76136     .75874     .75581     .75255     .74895     .74499     .74067

     .80089     .80087     .80081     .80065     .80039     .79997     .79940
     .79865     .79770     .79652     .79510     .79343     .79148     .78924
     .78669     .78382     .78061     .77703     .77310     .76877     .76403

     .82609     .82608     .82601     .82584     .82555     .82510     .82448
     .82367     .82263     .82136     .81982     .81801     .81590     .81347
     .81071     .80761     .80413     .80028     .79602     .79135     .78624

     .84962     .84961     .84953     .84935     .84904     .84856     .84790
     .84702     .84591     .84455     .84291     .84096     .83870     .83611
     .83315     .82983     .82613     .82201     .81747     .81249     .80704

     .87127     .87125     .87117     .87098     .87065     .87014     .86944
     .86851     .86733     .86588     .86413     .86208     .85969     .85695
     .85382     .85032     .84640     .84206     .83727     .83201     .82627

     .89089     .89088     .89079     .89059     .89024     .88971     .88897
     .88799     .88676     .88523     .88341     .88125     .87874     .87587
     .87261     .86895     .86486     .86031     .85531     .84984     .84385

     .90845     .90843     .90834     .90813     .90777     .90722     .90645
     .90543     .90414     .90256     .90065     .89842     .89582     .89284
     .88946     .88567     .88145     .87675     .87159     .86593     .85974

     .92395     .92393     .92384     .92362     .92324     .92268     .92187
     .92082     .91951     .91788     .91591     .91361     .91094     .90787
     .90442     .90053     .89619     .89139     .88611     .88032     .87400

     .93745     .93745     .93743     .93737     .93718     .93679     .93614
     .93514     .93376     .93201     .92986     .92733     .92439     .92108
     .91737     .91324     .90871     .90371     .89827     .89234     .88589

     .94907     .94907     .94905     .94899     .94878     .94838     .94770
     .94668     .94530     .94353     .94139     .93887     .93598     .93270
     .92903     .92496     .92045     .91550     .91009     .90418     .89776

     .95895     .95894     .95893     .95884     .95863     .95823     .95751
     .95648     .95508     .95333     .95120     .94872     .94587     .94265
     .93904     .93503     .93061     .92572     .92037     .91452     .90813

     .96724     .96723     .96722     .96713     .96692     .96648     .96575
     .96468     .96328     .96154     .95946     .95704     .95426     .95111
     .94758     .94366     .93931     .93452     .92926     .92349     .91717

     .97412     .97411     .97409     .97401     .97376     .97330     .97256
     .97149     .97012     .96841     .96637     .96401     .96132     .95827
     .95484     .95102     .94678     .94210     .93694     .93125     .92503

     .97975     .97975     .97973     .97963     .97938     .97890     .97815
     .97708     .97573     .97407     .97212     .96983     .96724     .96429
     .96098     .95727     .95316     .94859     .94354     .93799     .93187

     .98432     .98431     .98430     .98420     .98393     .98344     .98267
     .98164     .98032     .97873     .97685     .97468     .97218     .96934
     .96616     .96259     .95860     .95416     .94924     .94380     .93781

     .98798     .98797     .98796     .98784     .98757     .98706     .98632
     .98531     .98406     .98254     .98075     .97866     .97630     .97359
     .97052     .96708     .96322     .95893     .95415     .94885     .94298

     .99088     .99087     .99084     .99073     .99045     .98994     .98922
     .98826     .98706     .98563     .98393     .98197     .97971     .97713
     .97421     .97090     .96718     .96303     .95841     .95325     .94753

     .99314     .99314     .99311     .99299     .99270     .99222     .99151
     .99061     .98949     .98814     .98656     .98471     .98257     .98012
     .97732     .97416     .97059     .96659     .96210     .95711     .95154

     .99490     .99489     .99486     .99474     .99445     .99399     .99332
     .99249     .99145     .99019     .98870     .98696     .98495     .98263
     .97997     .97696     .97354     .96968     .96536     .96052     .95511

     .99624     .99624     .99621     .99608     .99580     .99536     .99475
     .99396     .99301     .99184     .99047     .98884     .98695     .98476
     .98224     .97938     .97611     .97241     .96825     .96357     .95833

     .99726     .99725     .99722     .99709     .99683     .99642     .99586
     .99514     .99426     .99319     .99191     .99039     .98863     .98657
     .98420     .98147     .97836     .97482     .97082     .96631     .96124

     .99802     .99801     .99798     .99786     .99760     .99722     .99672
     .99607     .99526     .99429     .99311     .99171     .99005     .98812
     .98587     .98330     .98034     .97696     .97313     .96879     .96391

     .99859     .99858     .99855     .99843     .99820     .99785     .99741
     .99681     .99608     .99519     .99409     .99280     .99126     .98945
     .98733     .98490     .98209     .97887     .97521     .97105     .96634

     .99900     .99899     .99896     .99884     .99864     .99834     .99793
     .99739     .99674     .99592     .99491     .99371     .99228     .99059
     .98861     .98629     .98364     .98058     .97708     .97309     .96855

     .99930     .99929     .99926     .99915     .99897     .99870     .99833
     .99786     .99727     .99652     .99559     .99448     .99315     .99157
     .98971     .98753     .98501     .98209     .97875     .97491     .97054

     .99951     .99951     .99948     .99938     .99922     .99897     .99865
     .99823     .99769     .99701     .99617     .99513     .99390     .99242
     .99066     .98861     .98621     .98344     .98022     .97653     .97230

     .99967     .99966     .99963     .99955     .99940     .99919     .99891
     .99853     .99804     .99742     .99664     .99568     .99454     .99315
     .99150     .98955     .98728     .98461     .98153     .97794     .97384

     .99977     .99977     .99974     .99966     .99954     .99935     .99909
     .99876     .99832     .99775     .99704     .99615     .99508     .99377
     .99222     .99037     .98819     .98563     .98264     .97918     .97516

     .99985     .99984     .99981     .99975     .99964     .99949     .99926
     .99895     .99854     .99802     .99737     .99654     .99554     .99432
     .99284     .99107     .98896     .98649     .98359     .98021     .97627

     .99990     .99989     .99988     .99981     .99972     .99959     .99937
     .99910     .99873     .99826     .99765     .99689     .99594     .99476
     .99336     .99165     .98962     .98721     .98438     .98107     .97721

     .99993     .99993     .99991     .99986     .99977     .99965     .99947
     .99922     .99889     .99845     .99788     .99716     .99626     .99515
     .99379     .99214     .99016     .98781     .98503     .98177     .97796

     .99996     .99995     .99993     .99989     .99983     .99972     .99955
     .99932     .99902     .99861     .99807     .99740     .99653     .99546
     .99415     .99255     .99061     .98831     .98556     .98234     .97857

     .99997     .99996     .99995     .99992     .99986     .99977     .99961
     .99940     .99912     .99874     .99824     .99758     .99676     .99572
     .99444     .99287     .99096     .98869     .98597     .98278     .97905

     .99998     .99997     .99996     .99993     .99988     .99979     .99967
     .99947     .99921     .99885     .99837     .99775     .99694     .99593
     .99466     .99312     .99125     .98899     .98630     .98313     .97941

     .99999     .99998     .99998     .99995     .99990     .99983     .99971
     .99952     .99928     .99893     .99847     .99786     .99708     .99609
     .99484     .99331     .99145     .98922     .98655     .98339     .97969

     .99999     .99999     .99999     .99995     .99991     .99985     .99974
     .99957     .99933     .99901     .99855     .99796     .99719     .99622
     .99498     .99347     .99162     .98940     .98674     .98360     .97990


constant used in Pair cre. sampling with LPM
  19457.1428571429  25  2.500000000000000E-002  .100000000000000  .000000000000000  1.00000000000000  41  4.28907906756251  4887413.31388007

Gten    
Pair total x-sec. with LPM
  19457.1  .773617
  24495.1  .772937
  30837.5  .772937
  38822.1  .772937
  48874.1  .772937
  61528.9  .772937
  77460.3  .772222
  97516.7  .772055
  122766.  .772754
  154554.  .771984
  194571.  .769449
  244951.  .765422
  308375.  .758389
  388221.  .747688
  488741.  .733931
  615289.  .716405
  774603.  .695047
  975167.  .670582
  1.227663E+06  .643052
  1.545536E+06  .613038
  1.945714E+06  .581084
  2.449509E+06  .547787
  3.083749E+06  .513773
  3.882210E+06  .479529
  4.887414E+06  .445612

Pair table with LPM
    1.00000     .99026     .98040     .97041     .96027     .95000     .93960
     .92904     .91836     .90751     .89652     .88538     .87409     .86263
     .85104     .83927     .82735     .81527     .80303     .79064     .77808
     .76537     .75251     .73949     .72631     .71299     .69954     .68593
     .67220     .65834     .64435     .63026     .61606     .60176     .58739
     .57294     .55843     .54387     .52926     .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     .99023     .98032     .97028     .96012     .94981     .93937
     .92878     .91807     .90719     .89617     .88502     .87370     .86224
     .85062     .83884     .82693     .81484     .80260     .79021     .77767
     .76496     .75212     .73911     .72596     .71267     .69925     .68563
     .67194     .65801     .64408     .62985     .61572     .60150     .58719
     .57253     .55810     .54362     .52910     .51456     .50000

    1.00000     .99023     .98032     .97028     .96012     .94982     .93938
     .92881     .91808     .90722     .89620     .88505     .87373     .86227
     .85065     .83889     .82696     .81489     .80265     .79026     .77769
     .76490     .75206     .73893     .72581     .71254     .69893     .68540
     .67174     .65796     .64406     .62974     .61564     .60146     .58719
     .57284     .55844     .54398     .52948     .51452     .50000

    1.00000     .99021     .98031     .97027     .96009     .94978     .93932
     .92873     .91801     .90713     .89610     .88493     .87360     .86213
     .85050     .83872     .82670     .81461     .80228     .78991     .77720
     .76453     .75171     .73874     .72538     .71214     .69875     .68521
     .67155     .65776     .64385     .62951     .61540     .60119     .58691
     .57254     .55812     .54364     .52912     .51456     .50000

    1.00000     .99023     .98032     .97030     .96012     .94982     .93938
     .92881     .91808     .90722     .89622     .88505     .87373     .86222
     .85053     .83880     .82679     .81475     .80257     .79005     .77757
     .76492     .75212     .73916     .72580     .71256     .69918     .68565
     .67198     .65818     .64425     .63021     .61605     .60144     .58712
     .57273     .55826     .54375     .52919     .51461     .50000

    1.00000     .99026     .98038     .97039     .96026     .94999     .93960
     .92905     .91837     .90755     .89652     .88535     .87412     .86265
     .85113     .83932     .82751     .81553     .80338     .79108     .77845
     .76583     .75306     .74013     .72703     .71378     .70037     .68653
     .67285     .65902     .64507     .63099     .61679     .60250     .58810
     .57362     .55907     .54446     .52980     .51512     .50000

    1.00000     .99030     .98049     .97054     .96047     .95026     .93992
     .92945     .91879     .90800     .89704     .88604     .87478     .86350
     .85206     .84045     .82853     .81661     .80453     .79226     .77982
     .76720     .75422     .74128     .72818     .71490     .70146     .68785
     .67409     .66018     .64613     .63194     .61763     .60289     .58839
     .57380     .55913     .54441     .52963     .51483     .50000

    1.00000     .99039     .98067     .97083     .96085     .95074     .94048
     .93006     .91952     .90893     .89809     .88721     .87618     .86488
     .85354     .84202     .83031     .81844     .80624     .79401     .78161
     .76902     .75624     .74328     .73013     .71680     .70328     .68936
     .67553     .66153     .64739     .63310     .61868     .60413     .58947
     .57472     .55988     .54497     .53001     .51501     .50000

    1.00000     .99053     .98095     .97124     .96142     .95142     .94134
     .93111     .92075     .91032     .89965     .88892     .87803     .86697
     .85572     .84418     .83259     .82081     .80882     .79664     .78425
     .77166     .75868     .74572     .73255     .71918     .70562     .69188
     .67794     .66383     .64956     .63511     .62053     .60581     .59096
     .57601     .56096     .54555     .53040     .51521     .50000

    1.00000     .99072     .98130     .97178     .96212     .95235     .94248
     .93247     .92237     .91206     .90166     .89109     .88024     .86933
     .85821     .84690     .83538     .82365     .81156     .79942     .78707
     .77450     .76171     .74870     .73547     .72203     .70837     .69451
     .68043     .66617     .65172     .63687     .62210     .60719     .59214
     .57697     .56170     .54635     .53093     .51548     .50000

    1.00000     .99093     .98176     .97247     .96305     .95354     .94393
     .93415     .92429     .91425     .90398     .89359     .88302     .87223
     .86124     .84992     .83851     .82688     .81501     .80291     .79058
     .77801     .76519     .75213     .73884     .72531     .71137     .69739
     .68320     .66879     .65417     .63936     .62438     .60922     .59391
     .57847     .56292     .54728     .53156     .51579     .50000

    1.00000     .99120     .98231     .97329     .96420     .95499     .94566
     .93621     .92652     .91674     .90676     .89657     .88618     .87548
     .86465     .85358     .84228     .83073     .81893     .80686     .79456
     .78199     .76902     .75595     .74261     .72901     .71516     .70105
     .68670     .67212     .65730     .64227     .62703     .61161     .59602
     .58028     .56441     .54844     .53238     .51612     .50000

    1.00000     .99152     .98293     .97425     .96549     .95661     .94762
     .93841     .92907     .91953     .90977     .89973     .88953     .87910
     .86842     .85748     .84628     .83482     .82298     .81098     .79871
     .78617     .77332     .76020     .74680     .73310     .71913     .70488
     .69035     .67556     .66051     .64523     .62972     .61387     .59797
     .58191     .56571     .54938     .53297     .51651     .50000

    1.00000     .99187     .98363     .97532     .96694     .95843     .94973
     .94086     .93180     .92246     .91296     .90322     .89323     .88297
     .87244     .86156     .85050     .83916     .82752     .81559     .80335
     .79081     .77795     .76478     .75131     .73751     .72342     .70900
     .69420     .67921     .66394     .64841     .63262     .61660     .60037
     .58394     .56736     .55063     .53382     .51694     .50000

    1.00000     .99226     .98440     .97652     .96851     .96033     .95200
     .94344     .93464     .92564     .91637     .90685     .89707     .88694
     .87661     .86597     .85505     .84382     .83227     .82038     .80819
     .79566     .78280     .76958     .75596     .74209     .72788     .71332
     .69844     .68325     .66773     .65191     .63581     .61946     .60286
     .58606     .56907     .55194     .53468     .51736     .50000

    1.00000     .99265     .98522     .97776     .97013     .96235     .95431
     .94608     .93761     .92887     .91987     .91055     .90099     .89114
     .88097     .87051     .85972     .84859     .83714     .82534     .81312
     .80062     .78776     .77453     .76094     .74697     .73263     .71792
     .70286     .68743     .67167     .65557     .63915     .62246     .60550
     .58830     .57090     .55330     .53561     .51783     .50000

    1.00000     .99308     .98609     .97904     .97181     .96438     .95669
     .94878     .94061     .93215     .92338     .91436     .90502     .89538
     .88540     .87510     .86445     .85345     .84206     .83035     .81826
     .80578     .79293     .77967     .76601     .75196     .73751     .72266
     .70740     .69177     .67575     .65938     .64264     .62559     .60825
     .59064     .57281     .55479     .53662     .51831     .50000

    1.00000     .99351     .98696     .98031     .97347     .96639     .95907
     .95147     .94357     .93540     .92693     .91814     .90903     .89959
     .88981     .87963     .86915     .85828     .84705     .83541     .82339
     .81095     .79810     .78483     .77113     .75701     .74245     .72746
     .71202     .69617     .67991     .66325     .64621     .62880     .61104
     .59301     .57473     .55624     .53759     .51883     .50000

    1.00000     .99393     .98785     .98159     .97512     .96841     .96140
     .95409     .94653     .93864     .93041     .92188     .91299     .90374
     .89414     .88419     .87386     .86314     .85200     .84046     .82851
     .81611     .80329     .79002     .77627     .76208     .74743     .73230
     .71671     .70066     .68413     .66719     .64984     .63208     .61396
     .59551     .57677     .55780     .53861     .51934     .50000

    1.00000     .99438     .98869     .98284     .97672     .97034     .96366
     .95669     .94939     .94176     .93382     .92548     .91683     .90781
     .89841     .88862     .87844     .86785     .85685     .84541     .83353
     .82119     .80839     .79511     .78136     .76711     .75235     .73709
     .72135     .70510     .68837     .67115     .65347     .63533     .61682
     .59794     .57875     .55931     .53965     .51986     .50000


