# ************************************************ 
#     This table  has been made by using ../../Data/BaseM/Air 
#     with Bremsstrahlung formula: # 1
#     and  Pair creation  formula: # 1.
#     Sun Feb 20 17:33:05 GMT+0900 2000 by K Kasahara using
#     version epics.uv5.20  
# 
#name   Format    Air; 78 % N, 21 % O  1 % Ar
Air 	1
#   treated as 0.78N2+ 0.21O2+ Ar 
#  Elem	 rho(g/cm^3)	Gas/Solid(1/0) refl.index               Birks corr.
#                                     (for gas, (n-1)*10^6)

3         1.205e-3		  1    293                       0  0  0
# 	Z	A  	N
	7	14	1.56
	8	16	.42
	18	40	.01



 Excitation (Ionization) potential =  94.85 eV
 radation length=  30345.8238510213 cm  36.5667177404807 g/cm^2
 <Aeff>=  14.8232044198895 <Zeff=>  7.38531248984307 <Z2/A>=   3.67955801104972
 plasma energy=  7.068253007525040E-010 GeV no density=  2.505757846512431E+019 /cm^3
 <Z2eff=>  54.5428405726321 <Z/A>=  .499309392265193
Migdal s1=  1.132427492947624E-004
 Conversion factors:
 g/cm^2 to cm=  829.875518672199
 mb to /(g/cm2)=  2.079467092541440E-005 mb to /cm=  2.505757846512431E-008 mb to /X0=  7.603928622358070E-004
 If a comound is specified as an Atom, use the
 following instead:   4.062641605292582E-005  4.895483134377561E-008  1.485574688614671E-003
 pi x Re**2 * N* Z /A *X0g  = 0.15 Z/A*X0g=  2.74296309438006
 media.A, Z, Z^2=  28.9600000000000  14.4600000000000  106.560000000000

 **** Sternheimers consts
 a, b, c =  7.669392629469960E-002  17.8550844500045 -10.7996053186701
 x0, x1 =  1.80992110187981  4.00000000000000
 sa, xa =  .234479196557531  2.34468203297647
 minimum dEdx_restricted=  1.531306373390642E-003 GeV/(g/cm^2)  with Tcut=  1.000000000000000E-004 GeV

 **** photoelectric consts
b0, b1, b2=  .837040793358242  1.76555510327119  1.81720239676198
fa, a, p=  1.08225005092134  5.102636716397890E-004  1.266202816937010E-004
l, ek=  7.76920898469240  7.417826317877964E-007

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

Air     
Seltzer Brems total X-sec. table upto E=  .100000000000000 GeV
  7.110000E-04  3.58022
  9.104920E-04  3.43800
  1.165957E-03  3.66932
  1.493101E-03  4.05941
  1.912034E-03  4.52892
  2.448512E-03  5.05815
  3.135514E-03  5.61880
  4.015274E-03  6.18014
  5.141878E-03  6.73991
  6.584583E-03  7.29326
  8.432082E-03  7.82032
  1.079795E-02  8.31336
  1.382763E-02  8.82515
  1.770738E-02  9.31380
  2.267571E-02  9.79097
  2.903805E-02  10.2567
  3.718552E-02  10.7081
  4.761902E-02  11.1446
  6.097994E-02  11.5670
  7.808965E-02  11.9725
  .100000  11.4255

Selzter Brems sampling table; log(v/vmin)/(1-u)
    2.53937    2.44152    2.36503    2.30265    2.25038    2.20553    2.16664
    2.13233    2.10205    2.07478    2.05004    2.02778    2.00760    1.98918
    1.97232    1.95685    1.94261    1.92955    1.91742    1.90612

    3.03865    2.91910    2.82803    2.75546    2.69547    2.64516    2.60153
    2.56361    2.53047    2.50075    2.47404    2.45000    2.42833    2.40876
    2.39094    2.37482    2.36000    2.34653    2.33427    2.32282

    3.41204    3.27971    3.18019    3.10153    3.03785    2.98470    2.93983
    2.90032    2.86547    2.83470    2.80748    2.78331    2.76176    2.74249
    2.72519    2.70964    2.69553    2.68278    2.67139    2.66074

    3.74577    3.60543    3.50079    3.41951    3.35380    3.29953    3.25218
    3.21099    3.17520    3.14403    3.11677    3.09284    3.07173    3.05301
    3.03641    3.02163    3.00828    2.99641    2.98572    2.97602

    4.06289    3.91897    3.81198    3.72853    3.66146    3.60521    3.55699
    3.51535    3.47924    3.44783    3.42037    3.39633    3.37516    3.35648
    3.33998    3.32524    3.31226    3.30057    3.29029    3.28077

    4.37081    4.22375    4.11468    4.03004    3.96192    3.90450    3.85556
    3.81369    3.77772    3.74677    3.72001    3.69679    3.67655    3.65889
    3.64337    3.62974    3.61773    3.60711    3.59777    3.58936

    4.67264    4.52419    4.41439    4.32944    4.26042    4.20220    4.15288
    4.11106    4.07552    4.04517    4.01923    3.99693    3.97772    3.96109
    3.94667    3.93408    3.92306    3.91355    3.90508    3.89763

    4.97361    4.82687    4.71775    4.63229    4.56147    4.50154    4.45100
    4.40847    4.37260    4.34232    4.31666    4.29484    4.27625    4.26029
    4.24658    4.23481    4.22457    4.21580    4.20802    4.20131

    5.27056    5.12584    5.01794    4.93237    4.86030    4.79913    4.74774
    4.70479    4.66893    4.63896    4.61380    4.59263    4.57474    4.55957
    4.54666    4.53568    4.52628    4.51813    4.51120    4.50518

    5.56384    5.42025    5.31287    5.22687    5.15325    5.09062    5.03824
    4.99478    4.95885    4.92908    4.90437    4.88377    4.86654    4.85214
    4.83998    4.82972    4.82101    4.81353    4.80740    4.80187

    5.85658    5.71580    5.61011    5.52429    5.44931    5.38521    5.33179
    5.28778    5.25171    5.22214    5.19784    5.17781    5.16124    5.14749
    5.13603    5.12647    5.11836    5.11166    5.10581    5.10107

    6.14844    6.01012    5.90636    5.82216    5.74917    5.68512    5.62970
    5.58263    5.54320    5.51039    5.48328    5.46086    5.44228    5.42695
    5.41422    5.40360    5.39478    5.38746    5.38107    5.37602

    6.43392    6.29650    6.19277    6.10742    6.03233    5.96602    5.90886
    5.86075    5.82087    5.78812    5.76135    5.73951    5.72161    5.70700
    5.69505    5.68515    5.67704    5.67029    5.66458    5.66003

    6.71483    6.57756    6.47320    6.38612    6.30871    6.24042    6.18209
    6.13360    6.09398    6.06185    6.03595    6.01505    5.99816    5.98454
    5.97343    5.96440    5.95707    5.95108    5.94615    5.94200

    6.99254    6.85486    6.74943    6.66019    6.58025    6.51008    6.45085
    6.40232    6.36321    6.33196    6.30706    6.28720    6.27140    6.25871
    6.24861    6.24041    6.23380    6.22848    6.22424    6.22054

    7.26682    7.12820    7.02129    6.92951    6.84691    6.77497    6.71507
    6.66672    6.62831    6.59801    6.57419    6.55544    6.54067    6.52902
    6.51969    6.51232    6.50642    6.50178    6.49804    6.49480

    7.53772    7.39773    7.28898    7.19453    7.10944    7.03612    6.97598
    6.92819    6.89078    6.86166    6.83907    6.82150    6.80781    6.79712
    6.78874    6.78205    6.77690    6.77269    6.76945    6.76670

    7.80544    7.66391    7.55337    7.45642    7.36935    7.29532    7.23562
    7.18889    7.15281    7.12514    7.10389    7.08760    7.07500    7.06532
    7.05778    7.05187    7.04736    7.04362    7.04073    7.03854

    8.07084    7.92822    7.81636    7.71762    7.62949    7.55569    7.49715
    7.45199    7.41762    7.39158    7.37185    7.35689    7.34548    7.33678
    7.33011    7.32489    7.32088    7.31784    7.31547    7.31344

    8.33546    8.19209    8.07930    7.97927    7.89080    7.81790    7.76094
    7.71768    7.68520    7.66091    7.64271    7.62907    7.61880    7.61106
    7.60520    7.60066    7.59728    7.59453    7.59258    7.59090

    8.71166    8.61538    8.55397    8.51336    8.48587    8.46692    8.45373
    8.44445    8.43787    8.43318    8.42981    8.42739    8.42565    8.42435
    8.42341    8.42269    8.42225    8.42187    8.42141    7.26833


Seltzer Brems sampling tbl in B; log(v/vmin)
   17.97887   18.02931   17.97400   17.93393   17.84044   17.64619   17.31611
   16.82602   16.17082   15.35964   14.46280   13.53011   12.61029   11.73132
   10.90742   10.14107    9.43134    8.77368    8.16725    7.61092    7.10308

   41.36751   41.37673   41.27908   40.90168   39.96817   38.25566   35.81916
   32.90948   29.90071   27.00655   24.34608   21.95558   19.82875   17.94418
   16.27124   14.78228   13.46140   12.29284   11.25803   10.34172    9.52815

   72.11397   72.03162   71.66522   70.00726   66.21676   60.38239   53.64432
   47.08627   41.24181   36.20489   31.90698   28.23086   25.06290   22.32292
   19.95358   17.90846   16.14241   14.61277   13.28467   12.12578   11.11139

  104.40202  104.31140  103.15126   98.68880   89.66355   78.02751   66.64538
   56.84243   48.79154   42.20146   36.72394   32.12067   28.23703   24.95486
   22.17702   19.81780   17.80304   16.07401   14.58144   13.28736   12.15908

  135.46644  135.31307  132.82840  123.75075  107.84985   90.22191   74.87943
   62.66811   53.12071   45.50731   39.28747   34.15285   29.90430   26.37398
   23.41761   20.92207   18.79946   16.97939   15.40919   14.04647   12.85768

  162.35502  161.96019  157.55448  142.82321  119.96352   97.34255   79.12825
   65.35412   54.91691   46.75064   40.21120   34.90558   30.56919   26.98792
   24.00059   21.48307   19.34155   17.50326   15.91499   14.53469   13.32855

  188.61658  187.64402  180.24647  158.08130  128.06833  101.37166   81.07858
   66.23056   55.20833   46.77713   40.17771   34.91394   30.64609   27.13169
   24.19784   21.72239   19.61077   17.79358   16.21921   14.84806   13.64697

  212.56003  210.84014  198.57698  167.84827  131.88230  102.48969   80.97573
   65.53824   54.26303   45.84242   39.39275   34.32347   30.23883   26.88059
   24.07224   21.69201   19.65347   17.89031   16.35527   15.01091   13.82910

  236.25350  233.44817  213.69389  173.71995  132.98722  101.77139   79.63096
   63.98034   52.74974   44.51416   38.30249   33.47372   29.60562   26.43097
   23.77228   21.51185   19.56715   17.87679   16.39704   15.09451   13.94420

  259.55868  255.85083  225.47642  176.00882  131.65416   99.60304   77.38799
   61.90204   50.93455   42.98718   37.04882   32.47671   28.84269   25.86804
   23.37425   21.24495   19.40284   17.79227   16.37598   15.12465   14.01674

  281.75440  276.90709  233.54268  175.30933  128.06342   95.95991   74.29512
   59.38335   48.89022   41.31177   35.67584   31.36855   27.96462   25.18976
   22.86643   20.87834   19.15198   17.63489   16.29237   15.09955   14.03774

  302.50588  295.28362  238.50186  173.46646  124.15695   92.16869   70.97471
   56.59414   46.63074   39.47401   34.19043   30.17218   27.01336   24.44455
   22.29344   20.44981   18.84222   17.42279   16.15996   15.03234   14.02447

  323.84427  313.45864  240.60582  169.09410  119.19026   87.88804   67.45575
   53.80159   44.40581   37.70006   32.76699   29.03360   26.10998   23.73915
   21.75443   20.05142   18.56036   17.23723   16.05374   14.99103   14.03660

  343.96784  328.95544  239.79697  163.40308  113.66589   83.31389   63.83338
   50.98432   42.20315   35.96304   31.38547   27.93221   25.23882   23.06047
   21.23771   19.67122   18.29562   17.06855   15.96428   14.96662   14.06516

  363.51456  342.34656  236.76962  156.88810  107.95161   78.75398   60.25643
   48.23332   40.05780   34.28494   30.05274   26.87103   24.39708   22.40474
   20.73777   19.30402   18.04240   16.91077   15.88557   14.95262   14.10387

  382.47154  353.25147  231.86010  149.92982  102.17248   74.31831   56.81651
   45.59816   38.01121   32.68399   28.78850   25.86889   23.60444   21.78725
   20.27024   18.96393   17.81252   16.77392   15.82622   14.95646   14.15884

  400.66974  361.48018  225.38063  142.60300   96.22430   69.88957   53.49537
   43.06905   36.06380   31.16820   27.59294   24.92419   22.86108   21.21281
   19.83947   18.65645   17.61113   16.66310   15.79007   14.98156   14.23313

  418.10640  367.03342  217.69099  135.14286   90.23464   65.46246   50.27123
   40.66535   34.22690   29.74465   26.48090   24.04533   22.17421   20.68762
   19.45221   18.38836   17.44521   16.58354   15.78189   15.03044   14.32716

  434.87674  369.53035  209.09101  127.92607   84.50309   61.13611   47.15357
   38.37134   32.50958   28.42283   25.44076   23.21735   21.52448   20.19302
   19.09460   18.15138   17.30970   16.53129   15.79666   15.09799   14.43547

  450.90218  369.16233  199.70110  120.39503   79.00467   57.13186   44.28729
   36.24445   30.90264   27.18542   24.47899   22.45699   20.93378   19.74585
   18.77359   17.93943   17.19057   16.48993   15.81831   15.16921   14.54547

  430.87104  256.24705  159.86484   95.52547   64.02694   47.27134   37.41499
   31.14890   26.90934   23.90612   21.71304   20.07186   18.82486   17.85364
   17.07358   16.41527   15.82541   15.26745   14.72126   14.18033   13.64733


 constant for Brems sampling table at low energies
  77.0769320180599  1.000000000000000E-004  1.000000000000000E-002 -2.00000000000000  94.1908705778637  77.0769320180599  .100000000000000  1.00000000000000  38  4.736842105263160E-002  .105052011340642  .105052011340642  .000000000000000  .562341325190349  2.811706625951750E-002  38  20  21

Air     
Brems total X-sec. table upto E=  77.0769320180601 GeV
  1.000000E-02  4.69008
  1.273656E-02  5.13571
  1.622199E-02  5.58548
  2.066122E-02  6.03072
  2.631528E-02  6.47420
  3.351661E-02  6.90353
  4.268862E-02  7.32708
  5.437059E-02  7.74429
  6.924941E-02  8.15350
  8.819990E-02  8.55178
  .112336  8.47602
  .143078  8.83362
  .182232  9.18733
  .232101  9.53758
  .295616  9.88477
  .376513  10.2293
  .479548  10.5714
  .610779  10.9114
  .777922  11.2497
  .990805  11.5863
  1.26194  11.9217
  1.60728  12.2559
  2.04712  12.5891
  2.60733  12.9216
  3.32084  13.2533
  4.22961  13.5844
  5.38707  13.9150
  6.86127  14.2452
  8.73889  14.5750
  11.1303  14.9046
  14.1762  15.2339
  18.0556  15.5630
  22.9966  15.8919
  29.2898  16.2207
  37.3051  16.5494
  47.5139  16.8780
  60.5163  17.2065
  77.0769  17.5359

Brems sampling table at low E for Small Eg
    3.97716    3.86445    3.77874    3.70987    3.65220    3.60242    3.55833
    3.51659    3.47659    3.43889    3.40390    3.37182    3.34262    3.31620
    3.29236    3.27080    3.25147    3.23390    3.21833    3.20388

    4.24527    4.13370    4.04891    3.98059    3.92357    3.87465    3.83095
    3.79037    3.75198    3.71554    3.68110    3.64892    3.61907    3.59162
    3.56649    3.54363    3.52283    3.50404    3.48708    3.47161

    4.50886    4.39705    4.31179    4.24273    4.18491    4.13482    4.08908
    4.04595    4.00483    3.96586    3.92940    3.89565    3.86477    3.83673
    3.81142    3.78871    3.76833    3.74997    3.73359    3.71900

    4.77113    4.65879    4.57271    4.50264    4.44362    4.39171    4.34338
    4.29730    4.25336    4.21204    4.17387    4.13904    4.10769    4.07956
    4.05454    4.03235    4.01270    3.99526    3.97985    3.96608

    5.03293    4.91993    4.83284    4.76160    4.70110    4.64687    4.59555
    4.54634    4.49970    4.45637    4.41691    4.38148    4.34999    4.32223
    4.29784    4.27643    4.25764    4.24127    4.22687    4.21413

    5.29124    5.17672    5.08791    5.01487    4.95241    4.89527    4.84064
    4.78834    4.73932    4.69451    4.65437    4.61894    4.58791    4.56092
    4.53751    4.51723    4.49962    4.48427    4.47104    4.45953

    5.54788    5.43155    5.34083    5.26590    5.20122    5.14098    5.08309
    5.02813    4.97743    4.93185    4.89170    4.85685    4.82676    4.80094
    4.77880    4.75982    4.74359    4.72949    4.71759    4.70716

    5.80273    5.68445    5.59179    5.51512    5.44814    5.38496    5.32431
    5.26743    5.21586    5.17040    5.13099    5.09732    5.06865    5.04432
    5.02374    5.00629    4.99145    4.97886    4.96800    4.95886

    6.05601    5.93590    5.84159    5.76347    5.69434    5.62862    5.56593
    5.50808    5.45662    5.41198    5.37399    5.34195    5.31501    5.29248
    5.27357    5.25769    5.24436    5.23315    5.22374    5.21565

    6.30793    6.18617    6.09041    6.01096    5.93979    5.87191    5.80787
    5.74984    5.69914    5.65601    5.61978    5.58968    5.56470    5.54402
    5.52688    5.51269    5.50078    5.49097    5.48260    5.47572

    6.62246    6.52557    6.45734    6.40804    6.37167    6.34437    6.32363
    6.30771    6.29541    6.28580    6.27830    6.27239    6.26772    6.26401
    6.26101    6.25869    6.25677    6.25525    6.25378    6.25291

    6.87292    6.77629    6.70889    6.66068    6.62545    6.59928    6.57958
    6.56463    6.55318    6.54436    6.53751    6.53216    6.52799    6.52473
    6.52216    6.52010    6.51848    6.51715    6.51616    6.51519

    7.12170    7.02529    6.95871    6.91154    6.87742    6.85231    6.83360
    6.81955    6.80890    6.80076    6.79452    6.78970    6.78598    6.78310
    6.78084    6.77898    6.77758    6.77649    6.77553    6.77488

    7.36890    7.27271    7.20691    7.16077    7.12769    7.10360    7.08583
    7.07261    7.06270    7.05520    7.04951    7.04516    7.04181    7.03925
    7.03731    7.03569    7.03447    7.03358    7.03275    7.03221

    7.61466    7.51865    7.45365    7.40849    7.37645    7.35332    7.33644
    7.32402    7.31477    7.30788    7.30270    7.29878    7.29580    7.29350
    7.29178    7.29045    7.28939    7.28853    7.28796    7.28745

    7.85910    7.76328    7.69905    7.65486    7.62382    7.60165    7.58561
    7.57392    7.56533    7.55899    7.55424    7.55070    7.54806    7.54606
    7.54452    7.54337    7.54246    7.54176    7.54130    7.54082

    8.10232    8.00672    7.94328    7.90007    7.86999    7.84872    7.83350
    7.82252    7.81453    7.80869    7.80438    7.80120    7.79883    7.79706
    7.79567    7.79470    7.79394    7.79343    7.79297    7.79255

    8.34448    8.24909    8.18645    8.14421    8.11510    8.09472    8.08029
    8.06997    8.06254    8.05715    8.05323    8.05037    8.04826    8.04671
    8.04552    8.04465    8.04406    8.04349    8.04311    8.04283

    8.58570    8.49056    8.42874    8.38746    8.35929    8.33977    8.32608
    8.31640    8.30953    8.30458    8.30102    8.29841    8.29654    8.29518
    8.29415    8.29339    8.29279    8.29235    8.29198    8.29185

    8.82606    8.73122    8.67025    8.62994    8.60272    8.58404    8.57107
    8.56199    8.55560    8.55107    8.54781    8.54550    8.54382    8.54262
    8.54171    8.54109    8.54066    8.54016    8.54002    8.53977

    9.06569    8.97121    8.91112    8.87178    8.84548    8.82763    8.81536
    8.80685    8.80093    8.79676    8.79383    8.79175    8.79025    8.78917
    8.78843    8.78787    8.78743    8.78714    8.78695    8.78674

    9.30471    9.21066    9.15147    9.11312    9.08773    9.07066    9.05905
    9.05110    9.04560    9.04179    9.03912    9.03727    9.03595    9.03501
    9.03433    9.03385    9.03349    9.03322    9.03293    9.03291

    9.54322    9.44966    9.39139    9.35403    9.32953    9.31325    9.30228
    9.29485    9.28975    9.28627    9.28386    9.28216    9.28100    9.28017
    9.27960    9.27921    9.27890    9.27864    9.27858    9.27839

    9.78131    9.68829    9.63099    9.59460    9.57100    9.55544    9.54511
    9.53814    9.53346    9.53025    9.52809    9.52658    9.52555    9.52481
    9.52433    9.52398    9.52368    9.52359    9.52352    9.52329

   10.01906    9.92665    9.87032    9.83493    9.81219    9.79737    9.78760
    9.78111    9.77678    9.77387    9.77187    9.77055    9.76961    9.76900
    9.76853    9.76824    9.76803    9.76796    9.76791    9.76768

   10.25653   10.16479   10.10946   10.07504   10.05316   10.03905   10.02983
   10.02378   10.01979   10.01711   10.01534   10.01413   10.01334   10.01277
   10.01237   10.01215   10.01197   10.01174   10.01175   10.01165

   10.49382   10.40278   10.34846   10.31503   10.29398   10.28053   10.27187
   10.26622   10.26252   10.26011   10.25849   10.25742   10.25672   10.25620
   10.25589   10.25565   10.25547   10.25548   10.25538   10.25526

   10.73094   10.64067   10.58739   10.55491   10.53466   10.52189   10.51371
   10.50847   10.50506   10.50285   10.50139   10.50043   10.49982   10.49940
   10.49911   10.49892   10.49875   10.49864   10.49846   10.49857

   10.96796   10.87849   10.82625   10.79472   10.77529   10.76312   10.75545
   10.75056   10.74743   10.74542   10.74409   10.74325   10.74269   10.74233
   10.74207   10.74194   10.74178   10.74180   10.74170   10.74163

   11.20491   11.11631   11.06510   11.03451   11.01585   11.00430   10.99708
   10.99253   10.98965   10.98782   10.98662   10.98586   10.98540   10.98507
   10.98484   10.98472   10.98464   10.98457   10.98464   10.98448

   11.44183   11.35412   11.30396   11.27430   11.25639   11.24542   11.23864
   11.23441   11.23176   11.23009   11.22904   11.22836   11.22792   11.22765
   11.22746   11.22737   11.22728   11.22722   11.22724   11.22714

   11.67876   11.59196   11.54285   11.51412   11.49692   11.48652   11.48014
   11.47623   11.47378   11.47227   11.47133   11.47073   11.47033   11.47008
   11.46993   11.46980   11.46977   11.46975   11.65155   11.46967

   11.91568   11.82987   11.78179   11.75395   11.73748   11.72760   11.72163
   11.71797   11.71575   11.71436   11.71351   11.71297   11.71264   11.71245
   11.71229   11.71219   11.71214   10.10969    7.12536   11.71207

   12.15268   12.06783   12.02080   11.99384   11.97805   11.96869   11.96309
   11.95970   11.95765   11.95641   11.95562   11.95517   11.95487   11.95467
   11.95454   11.95446   11.95445   10.38711    7.38509   11.95437

   12.38972   12.30588   12.25988   12.23379   12.21868   12.20981   12.20453
   12.20139   12.19953   12.19839   12.19769   12.19729   12.19703   12.19686
   12.19674   12.19667   12.19668    8.15187   13.25402   12.19660

   12.62683   12.54402   12.49907   12.47382   12.45932   12.45092   12.44599
   12.44309   12.44136   12.44032   12.43970   12.43934   12.43910   12.43897
   12.43891   12.43884   12.43876    8.39059   13.66837   12.43875

   12.86403   12.78226   12.73833   12.71389   12.70005   12.69208   12.68747
   12.68476   12.68319   12.68225   12.68168   12.68138   12.68118   12.68107
   12.68098   12.68094   15.09258   11.18367    8.15106   12.68086

   13.10209   13.02132   12.97839   12.95475   12.94150   12.93395   12.92962
   12.92714   12.92569   12.92484   12.92435   12.92406   12.92388   12.92376
   12.92371   12.92368    9.09815   11.53466    8.49811   12.92361


Brems sampling tbl at low E for large Eg
  169.20386  167.87951  145.81104  112.78110   84.76650   64.39734   50.35272
   40.39815   33.24744   28.01204   24.09980   21.11143   18.77618   16.90997
   15.37995   14.09489   12.99220   12.02978   11.17823   10.41727    9.73265

  187.12682  185.49657  152.72862  115.40155   84.40904   63.50019   49.22788
   39.33080   32.32565   27.26975   23.51325   20.65524   18.43511   16.66562
   15.22061   14.00548   12.96194   12.04922   11.23853   10.51115    9.85365

  205.10028  202.13674  158.35670  115.45021   82.82869   61.76882   47.63043
   38.01971   31.29061   26.46307   22.89543   20.18640   18.09084   16.42457
   15.06493   13.92261   12.94068   12.07897   11.31104   10.61862    9.98971

  222.89710  217.79689  161.96464  114.27034   80.62014   59.68653   45.85391
   36.58466   30.17198   25.60047   22.23544   19.68626   17.71745   16.15693
   14.88653   13.81954   12.90054   12.09282   11.37046   10.71594   10.11777

  240.65640  232.28661  163.75795  112.11932   77.94913   57.36436   43.97355
   35.08865   29.00799   24.69537   21.54029   19.15334   17.31561   15.86182
   14.68239   13.69221   12.83907   12.08747   11.41361   10.79932   10.23480

  257.67138  244.65565  163.71751  109.19777   74.93310   54.89269   42.03493
   33.56794   27.85116   23.81173   20.86510   18.64473   16.93955   15.59246
   14.50185   13.58764   12.79931   12.10398   11.47748   10.90315   10.37138

  274.39660  255.09422  162.21706  105.72880   71.59908   52.16687   40.00805
   32.04852   26.69924   22.93345   20.20224   18.14349   16.56777   15.32719
   14.32565   13.48781   12.76469   12.12536   11.54694   11.01288   10.51377

  290.79527  263.60383  159.45215  101.95124   68.18839   49.36604   37.94230
   30.52688   25.57495   22.08274   19.55904   17.65834   16.20417   15.06722
   14.15420   13.39370   12.73776   12.15668   11.62668   11.13241   10.66508

  306.77973  269.61514  155.51070   97.93084   64.77779   46.64085   35.91112
   29.04316   24.47795   21.26727   18.94833   17.19823   15.85770   14.81921
   13.99257   13.30930   12.72173   12.19927   11.71762   11.26218   10.82484

  322.23399  273.32048  150.77808   93.43260   61.22564   44.05215   34.05850
   27.68577   23.47243   20.51592   18.38420   16.78331   15.55752   14.61529
   13.87088   13.25860   12.73236   12.26167   11.82344   11.40262   10.99242

  205.64908  192.57681  124.71704   75.44609   50.60651   37.27079   29.36595
   24.34191   20.93229   18.51318   16.73740   15.40551   14.38865   13.60038
   12.97979   12.47547   12.04744   11.66431   11.30259   10.94751   10.59312

  215.27587  197.76084  120.39985   71.38787   47.80173   35.33955   27.99995
   23.33875   20.18206   17.95091   16.31424   15.09491   14.17261   13.46779
   12.91734   12.47439   12.09915   11.75944   11.43217   11.10320   10.76769

  224.67828  201.41317  115.40855   67.35667   45.12165   33.49795   26.73368
   22.41993   19.49916   17.43422   15.93333   14.82333   13.99504   13.36930
   12.88762   12.50333   12.17732   11.87766   11.58098   11.27490   10.95522

  233.88543  203.72517  109.97115   63.42660   42.58781   31.83356   25.55252
   21.55709   18.86702   16.96805   15.59795   14.59651   13.85756   13.30707
   12.89093   12.56203   12.28140   12.01793   11.74877   11.46200   11.15540

  242.92398  204.31620  104.26777   59.65027   40.21115   30.23320   24.45896
   20.78247   18.29854   16.55668   15.31093   14.41299   13.75918   13.28222
   12.92679   12.64914   12.41080   12.17982   11.93414   11.66340   11.36718

  251.81782  203.37756   98.47826   56.05890   37.99721   28.77777   23.45410
   20.06587   17.78212   16.19668   15.07259   14.27299   13.70134   13.29220
   12.99471   12.76485   12.56404   12.36154   12.13598   11.87843   11.59003

  260.58809  200.90985   92.71069   52.67644   35.94550   27.46712   22.53791
   19.41759   17.32986   15.88806   14.88292   14.17483   13.68164   13.33713
   13.09275   12.90668   12.73966   12.56196   12.35339   12.10595   11.82266

  269.25324  196.72287   87.07298   49.51025   34.05243   26.22133   21.70984
   18.83735   16.92951   15.63456   14.73941   14.12199   13.70010   13.41524
   13.21964   13.07262   12.93614   12.77992   12.58494   12.34480   12.06452

  277.82929  191.38926   81.62516   46.56758   32.31363   25.11713   20.94999
   18.32471   16.59897   15.43220   14.64196   14.10751   13.75307   13.52390
   13.37345   13.26178   13.15154   13.01324   12.82916   12.59383   12.31429

  286.33014  184.71872   76.43908   43.84387   30.72022   24.11166   20.27565
   17.87872   16.31956   15.28071   14.58791   14.13133   13.84052   13.66131
   13.55150   13.47159   13.38433   13.26141   13.08485   12.85206   12.57135

  294.76782  177.28382   71.52686   41.33211   29.26404   23.16236   19.66630
   17.49860   16.09687   15.17979   14.57708   14.19334   13.95870   13.82475
   13.75178   13.70003   13.63297   13.52220   13.35106   13.11828   12.83456

  303.15266  169.08487   66.92445   39.02530   27.93690   22.34436   19.13920
   17.17311   15.92433   15.12157   14.60431   14.28658   14.10394   14.01250
   13.97303   13.94617   13.89631   13.79441   13.62627   13.39150   13.10328

  311.49341  160.50360   62.63191   36.91404   26.72912   21.61445   18.69249
   16.92181   15.80735   15.10944   14.66933   14.41087   14.27614   14.22177
   14.21250   14.20792   14.17235   14.07713   13.90923   13.67070   13.37629

  319.79739  151.73096   58.64933   34.98422   25.63400   20.93066   18.30593
   16.71322   15.73961   15.13565   14.76708   14.56278   14.47041   14.45175
   14.46823   14.48328   14.45953   14.36881   14.19897   13.95487   13.65298

  328.07071  142.76711   54.96482   33.22642   24.64408   20.36840   17.97796
   16.56707   15.71451   15.19609   14.89487   14.73873   14.68672   14.69880
   14.73959   14.77124   14.75667   14.66784   14.49449   14.24320   13.93248

  336.31850  133.99368   51.57840   31.62651   23.75564   19.84769   17.72690
   16.48297   15.73789   15.29443   15.05009   14.93871   14.92134   14.96203
   15.02456   15.07028   15.06216   14.97330   14.79448   14.53487   14.21450

  344.54506  125.41076   48.47816   30.17034   22.96494   19.44544   17.53295
   16.42969   15.79145   15.42305   15.22774   15.15756   15.17315   15.23880
   15.32119   15.37891   15.37528   15.28427   15.09850   14.82905   14.49818

  352.75406  117.20916   45.62833   28.85321   22.26752   19.08139   17.39534
   16.42737   15.88095   15.57414   15.43027   15.39523   15.43960   15.52914
   15.62739   15.69503   15.69441   15.59948   15.40554   15.12515   14.78321

  360.94856  109.38893   43.04085   27.66098   21.66037   18.79352   17.31344
   16.47567   16.00014   15.75523   15.65002   15.64999   15.72074   15.83031
   15.94324   16.01869   16.01872   15.91862   15.71477   15.42298   15.06905

  369.13111  101.95012   40.66801   26.58658   21.13978   18.58031   17.26753
   16.54342   16.14893   15.95484   15.88956   15.91835   16.01288   16.14054
   16.26674   16.34892   16.34790   16.24075   16.02630   15.72190   15.35557

  377.30383   94.89274   38.52174   25.62764   20.70127   18.43993   17.27571
   16.65064   16.32695   16.17274   16.14369   16.19854   16.31475   16.45987
   16.59721   16.68356   16.68028   16.56525   16.33876   16.02128   15.64226

  385.46849   88.40756   36.56626   24.77709   20.33960   18.33102   17.31803
   16.78660   16.52184   16.40885   16.40985   16.49054   16.62635   16.78645
   16.93326   17.02322   17.01588   16.89143   16.65246   16.32114   15.92892

  393.62656   82.49460   34.78964   24.03259   20.05029   18.29096   17.41254
   16.95073   16.73934   16.66294   16.69042   16.79249   16.94638   17.11932
   17.27492   17.36570   17.35388   17.21899   16.96659   16.62104   16.21539

  401.77928   76.77236   33.17997   23.38706   19.82963   18.27902   17.52061
   17.14278   16.96718   16.92737   16.98038   17.10271   17.27240   17.45859
   17.62012   17.71164   17.69345   17.54729   17.28062   16.92056   16.50159

  409.92766   71.81310   31.72532   22.83342   19.67089   18.33167   17.65984
   17.35167   17.21706   17.20561   17.27948   17.42106   17.60430   17.80138
   17.96885   18.05993   18.03417   17.87597   17.59485   17.21994   16.78709

  418.07253   67.04457   30.42568   22.37168   19.56959   18.36862   17.82946
   17.57700   17.47661   17.49377   17.58772   17.74400   17.94212   18.14865
   18.32114   18.41002   18.37605   18.20469   17.90842   17.51848   17.07197

  426.21457   62.65753   29.24527   21.99005   19.52126   18.50572   18.02841
   17.81818   17.75158   17.78780   17.90243   18.07324   18.28454   18.49945
   18.67553   18.76137   18.71868   18.53347   18.22163   17.81642   17.35613

   17.53785   17.45231   17.53702   17.54227   17.55332   17.58199   17.62090
   17.68056   17.78024   17.92047   18.10120   18.31989   18.56501   18.80451
   18.99471   19.08621   19.04014   18.84619   18.52224   18.10437   17.63254


 constant for Brems sampling table at high energies
  9.419087057786370E-004  94.1908705778637  1.97400881096913  50  5.000000000000000E-002  .100000000000000  7481846.79532578  5.000000000000000E-002  .200000000000000  1.00000000000000  17  .000000000000000  .668740304976422  16  15  4.458268699842813E-002  50  7.500000000000000E-002  445665.289965940  4.00000000000000

Air     
Brems total X-sec. table with C.S+LPM upto E=  7481846.79532579 GeV
  94.1909  14.7649
  118.579  14.9207
  149.282  15.2297
  187.936  15.5370
  236.597  15.8498
  297.858  16.1651
  374.981  16.4715
  472.073  16.7601
  594.304  17.0216
  748.185  17.2386
  941.909  17.4067
  1185.79  17.5217
  1492.82  17.5807
  1879.35  17.5904
  2365.97  17.5505
  2978.58  17.4669
  3749.81  17.3437
  4720.73  17.1885
  5943.04  17.0090
  7481.85  16.8030
  9419.09  16.5777
  11857.9  16.3367
  14928.2  16.0809
  18793.5  15.8174
  23659.7  15.5442
  29785.8  15.2639
  37498.1  14.9766
  47207.3  14.6854
  59430.4  14.3943
  74818.5  14.0970
  94190.9  13.7974
  118579.  13.4961
  149282.  13.1915
  187936.  12.8887
  236597.  12.5838
  297858.  12.2780
  374981.  11.9702
  472073.  11.6661
  594304.  11.3587
  748185.  11.0510
  941909.  10.7432
  1.185793E+06  10.4355
  1.492825E+06  10.1281
  1.879355E+06  9.81939
  2.365968E+06  9.51302
  2.978577E+06  9.20539
  3.749806E+06  8.89853
  4.720726E+06  8.59179
  5.943042E+06  8.28484
  7.481847E+06  7.98127

Brems with LPM sampling tbl for small Eg
     .24896     .18905     .14477     .11157     .08646     .06737     .05278
     .04159     .03298     .02632     .02116     .01714     .01399     .00721
     .00870     .00546     .00676

     .24511     .18533     .14130     .10842     .08366     .06490     .05063
     .03973     .03137     .02494     .01997     .01611     .01095     .01207
     .00658     .01042     .00631

     .24096     .18149     .13783     .10535     .08097     .06257     .04863
     .03802     .02992     .02370     .01891     .01521     .01037     .01144
     .00627     .00384     .00600

     .23711     .17794     .13465     .10253     .07852     .06046     .04682
     .03648     .02861     .02259     .01798     .01442     .00755     .00827
     .01012     .00682     .00577

     .23364     .17476     .13179     .10002     .07634     .05859     .04523
     .03513     .02747     .02164     .01718     .01167     .01225     .00654
     .00797     .00522     .00561

     .23064     .17202     .12934     .09787     .07448     .05700     .04388
     .03400     .02652     .02085     .01652     .01127     .01184     .00637
     .00778     .00516     .00552

     .22813     .16972     .12730     .09609     .07295     .05570     .04278
     .03308     .02576     .02022     .01601     .01095     .01153     .00626
     .00766     .00514     .00549

     .22615     .16792     .12570     .09470     .07176     .05469     .04194
     .03238     .02518     .01975     .01564     .01074     .01132     .00622
     .00762     .00519     .00552

     .22472     .16662     .12456     .09371     .07091     .05398     .04135
     .03190     .02479     .01944     .01541     .01063     .01122     .00623
     .00766     .00531     .00560

     .22377     .16576     .12380     .09306     .07037     .05353     .04098
     .03160     .02457     .01927     .01529     .01059     .01120     .00629
     .00777     .00548     .00573

     .22339     .16542     .12351     .09281     .07017     .05337     .04087
     .03152     .02452     .01926     .01531     .01065     .01129     .00642
     .00795     .00573     .00590

     .22351     .16554     .12362     .09292     .07027     .05348     .04097
     .03163     .02464     .01939     .01545     .01080     .01146     .00660
     .00821     .00604     .00611

     .22402     .16602     .12405     .09331     .07062     .05379     .04125
     .03189     .02488     .01962     .01568     .01101     .01171     .00683
     .00852     .00641     .00637

     .22503     .16694     .12488     .09404     .07127     .05435     .04175
     .03233     .02527     .01999     .01602     .01130     .01203     .00711
     .00890     .00685     .00666

     .22642     .16821     .12603     .09506     .07216     .05513     .04243
     .03293     .02580     .02046     .01647     .01166     .01244     .00744
     .00934     .00736     .00699

     .22817     .16982     .12747     .09633     .07327     .05610     .04327
     .03367     .02646     .02105     .01700     .01209     .01291     .00781
     .00984     .00793     .00737

     .23025     .17173     .12919     .09785     .07460     .05726     .04428
     .03454     .02723     .02174     .01764     .01469     .00859     .00973
     .00629     .01041     .00778

     .23263     .17392     .13115     .09959     .07612     .05858     .04543
     .03555     .02811     .02253     .01837     .01536     .00906     .01028
     .00675     .01124     .00824

     .23528     .17636     .13335     .10154     .07783     .06007     .04673
     .03668     .02911     .02341     .01918     .01611     .00957     .01088
     .00726     .01213     .00873

     .23820     .17905     .13578     .10370     .07973     .06174     .04818
     .03795     .03022     .02440     .02009     .01695     .01013     .01154
     .00781     .01310     .00927

     .24134     .18197     .13842     .10605     .08180     .06355     .04976
     .03933     .03144     .02548     .02109     .01787     .01334     .01526
     .01063     .00919     .00986

     .24470     .18508     .14124     .10857     .08403     .06551     .05148
     .04084     .03277     .02667     .02218     .01888     .01414     .01618
     .01138     .01002     .01049

     .24828     .18841     .14427     .11128     .08643     .06762     .05334
     .04248     .03422     .02797     .02336     .01996     .01499     .01718
     .01218     .01090     .01117

     .25206     .19193     .14749     .11418     .08900     .06989     .05534
     .04424     .03579     .02935     .02464     .02113     .01591     .01825
     .01304     .01183     .01190

     .25595     .19557     .15082     .11718     .09168     .07227     .05744
     .04610     .03744     .03086     .02603     .02240     .01964     .01268
     .01631     .01515     .01269

     .26006     .19943     .15437     .12039     .09455     .07482     .05970
     .04811     .03923     .03247     .02751     .02376     .02089     .01354
     .01744     .01637     .01354

     .26434     .20346     .15807     .12375     .09757     .07751     .06210
     .05024     .04114     .03423     .02909     .02522     .02223     .01788
     .01289     .01193     .01444

     .26870     .20758     .16188     .12722     .10070     .08031     .06460
     .05248     .04314     .03606     .03080     .02679     .02368     .01908
     .01384     .01294     .01541

     .27326     .21189     .16588     .13088     .10401     .08329     .06726
     .05487     .04529     .03803     .03262     .02847     .02522     .02036
     .01483     .01399     .01645

     .27795     .21635     .17003     .13468     .10746     .08640     .07007
     .05740     .04758     .04016     .03456     .03026     .02688     .02173
     .01589     .01511     .01756

     .28278     .22095     .17433     .13863     .11107     .08967     .07302
     .06006     .04999     .04237     .03662     .03217     .02865     .02319
     .01702     .01630     .01875

     .28776     .22572     .17880     .14276     .11484     .09310     .07613
     .06289     .05258     .04477     .03884     .03420     .03053     .02475
     .01822     .01755     .02001

     .29283     .23058     .18337     .14700     .11873     .09665     .07936
     .06583     .05529     .04729     .04116     .03638     .03255     .02943
     .02678     .02616     .02136

     .29806     .23561     .18812     .15142     .12281     .10038     .08277
     .06895     .05817     .04997     .04365     .03869     .03471     .03143
     .02864     .02807     .02280

     .30341     .24077     .19301     .15599     .12703     .10427     .08634
     .07220     .06122     .05281     .04630     .04115     .03700     .03357
     .03063     .03010     .02434

     .30891     .24610     .19807     .16073     .13144     .10834     .09009
     .07567     .06443     .05582     .04910     .04377     .03944     .03586
     .03274     .03225     .02598

     .31456     .25159     .20331     .16566     .13603     .11260     .09403
     .07928     .06781     .05899     .05207     .04654     .04204     .03829
     .03499     .03454     .02772

     .32024     .25713     .20861     .17067     .14072     .11696     .09808
     .08309     .07143     .06238     .05524     .04951     .04482     .04089
     .03740     .03698     .02958

     .32615     .26291     .21416     .17593     .14567     .12158     .10239
     .08709     .07520     .06593     .05857     .05264     .04776     .04365
     .04008     .03969     .03155

     .33212     .26877     .21980     .18130     .15073     .12633     .10684
     .09123     .07922     .06971     .06213     .05598     .05090     .04661
     .04285     .04250     .03366

     .33829     .27484     .22567     .18691     .15604     .13133     .11152
     .09574     .08341     .07368     .06588     .05951     .05423     .04974
     .04579     .03196     .03589

     .34460     .28107     .23172     .19270     .16154     .13654     .11642
     .10040     .08783     .07788     .06984     .06326     .05776     .05307
     .04893     .03422     .03827

     .35104     .28745     .23793     .19868     .16725     .14195     .12150
     .10530     .09250     .08231     .07404     .06723     .06151     .05662
     .05227     .03661     .04079

     .35762     .29399     .24432     .20484     .17315     .14758     .12687
     .11045     .09742     .08699     .07848     .07143     .06550     .06038
     .05582     .03915     .04347

     .36434     .30069     .25088     .21120     .17927     .15344     .13245
     .11587     .10260     .09193     .08317     .07589     .06972     .06438
     .05961     .04185     .04632

     .37124     .30759     .25767     .21780     .18564     .15956     .13839
     .12155     .10810     .09712     .08812     .08059     .07419     .06863
     .06362     .05486     .04934

     .37826     .31464     .26463     .22459     .19221     .16585     .14452
     .12752     .11379     .10261     .09335     .08558     .07894     .07313
     .06789     .05858     .05255

     .38547     .32189     .27181     .23163     .19905     .17239     .15094
     .13375     .11981     .10838     .09887     .09084     .08395     .07791
     .07242     .06252     .05594

     .39286     .32935     .27922     .23891     .20616     .17923     .15766
     .14028     .12612     .11444     .10467     .09639     .08925     .08296
     .07722     .06669     .05971

     .40032     .33690     .28674     .24633     .21343     .18647     .16479
     .14721     .13281     .12087     .11084     .10229     .09489     .08834
     .08234     .07114     .06385


Brems with LPM smp tbl; (sqrt(v)-sqrt(vmin)/(1-u)
   14.51731   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

   14.74756   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

   14.97781   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

   15.20806   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

   15.43654   15.43483   15.44101   15.44850   15.51358   15.62742   15.82025
   16.10533   16.45549   16.77793   16.91750   16.75714   16.31539   15.70625
   15.04998   14.42917

   15.66922   15.67625   15.67508   15.68624   15.75658   15.86609   16.06288
   16.35562   16.71429   17.03997   17.17201   16.99632   16.53616   15.91077
   15.24235   14.61340

   15.90422   15.91768   15.90915   15.92400   15.98436   16.10489   16.30877
   16.60955   16.97647   17.30439   17.42884   17.23716   16.75832   16.11662
   15.43612   14.79907

   16.13743   16.12892   16.14322   16.16177   16.22742   16.34368   16.55474
   16.86191   17.23583   17.56590   17.68304   17.47538   16.97804   16.32029
   15.62784   14.98297

   16.36500   16.37035   16.36975   16.39805   16.45477   16.57609   16.79460
   17.10939   17.49039   17.82186   17.93091   17.70698   17.19165   16.51836
   15.81453   15.16213

   16.58508   16.58159   16.59061   16.63323   16.68180   16.80207   17.02521
   17.34852   17.73599   18.06894   18.17024   17.93042   17.39765   16.70940
   15.99467   15.33509

   16.78653   16.79283   16.79260   16.81680   16.87726   17.00883   17.23726
   17.56732   17.96024   18.29514   18.38864   18.13450   17.58549   16.88378
   16.15917   15.49316

   16.96714   16.97390   16.97382   16.99627   17.05618   17.19618   17.42752
   17.76227   18.16212   18.49764   18.58470   18.31693   17.75349   17.03961
   16.30630   15.63468

   17.12716   17.12479   17.13239   17.17128   17.21843   17.36405   17.59594
   17.93680   18.34144   18.67769   18.75771   18.47806   17.90201   17.17752
   16.43649   15.75999

   17.25656   17.24550   17.26265   17.29280   17.34850   17.49340   17.73020
   18.07725   18.48588   18.82257   18.89725   18.60819   18.02179   17.28879
   16.54162   15.86117

   17.35662   17.36621   17.36270   17.40836   17.46141   17.59672   17.83629
   18.18511   18.59733   18.93483   19.00545   18.70871   18.11432   17.37469
   16.62284   15.93933

   17.42670   17.42656   17.43255   17.47006   17.52675   17.66788   17.91125
   18.26221   18.67578   19.01300   19.08080   18.77911   18.17907   17.43478
   16.67970   15.99407

   17.46703   17.45674   17.47409   17.47827   17.57516   17.71308   17.95494
   18.30674   18.72120   19.05846   19.12467   18.81956   18.21628   17.46932
   16.71238   16.02557

   17.47848   17.48692   17.48541   17.52840   17.57576   17.71967   17.96438
   18.31882   18.73364   19.07122   19.13705   18.83097   18.22684   17.47918
   16.72165   16.03455

   17.46244   17.45675   17.46843   17.47715   17.55954   17.70668   17.94873
   18.30165   18.71607   19.05312   19.11966   18.81485   18.21198   17.46544
   16.70861   16.02198

   17.41981   17.42657   17.42690   17.46895   17.52640   17.66140   17.90501
   18.25536   18.66855   19.00564   19.07347   18.77208   18.17273   17.42887
   16.67409   15.98872

   17.35396   17.36622   17.36083   17.40800   17.46131   17.59669   17.83315
   18.18342   18.59421   18.93146   19.00275   18.70614   18.11182   17.37234
   16.62067   15.93728

   17.26712   17.27569   17.27399   17.29505   17.36449   17.50630   17.74268
   18.08923   18.49719   18.83462   18.90867   18.61893   18.03162   17.29779
   16.55018   15.86942

   17.16015   17.15498   17.16639   17.17801   17.25111   17.39646   17.63033
   17.97280   18.37754   18.71443   18.79332   18.51137   17.93248   17.20584
   16.46337   15.78575

   17.03542   17.03427   17.04180   17.05761   17.13667   17.26719   17.49925
   17.83757   18.23835   18.57431   18.65846   18.38577   17.81692   17.09845
   16.36188   15.68815

   16.89902   16.91357   16.90589   16.93498   16.99100   17.12513   17.35580
   17.68875   18.08590   18.42173   18.51051   18.24821   17.69021   16.98085
   16.25088   15.58136

   16.74676   16.73251   16.75298   16.76111   16.84440   16.97004   17.19672
   17.52284   17.91604   18.25059   18.34551   18.09433   17.54848   16.84931
   16.12673   15.46194

   16.58299   16.58162   16.58875   16.63289   16.68172   16.80206   17.02210
   17.34512   17.73295   18.06636   18.16807   17.92843   17.39559   16.70762
   15.99298   15.33340

   16.41243   16.40056   16.41887   16.45567   16.50355   16.62775   16.84448
   17.16064   17.54280   17.87503   17.98263   17.75518   17.23612   16.55966
   15.85339   15.19943

   16.23106   16.21950   16.23576   16.27585   16.32458   16.44048   16.65442
   16.96432   17.34051   17.67133   17.78527   17.57068   17.06608   16.40190
   15.70477   15.05669

   16.04260   16.03844   16.04889   16.04741   16.13023   16.24694   16.45516
   16.75964   17.13025   17.45931   17.57967   17.37852   16.88887   16.23759
   15.54997   14.90823

   15.84815   15.85738   15.85258   15.86499   15.93521   16.04684   16.25278
   16.54991   16.91399   17.24091   17.36759   17.17976   16.70551   16.06759
   15.38992   14.75477

   15.64713   15.64614   15.65249   15.68184   15.72472   15.84043   16.04121
   16.33185   16.68981   17.01495   17.14781   16.97358   16.51531   15.89140
   15.22409   14.59594

   15.44369   15.43491   15.44864   15.45007   15.52938   15.63394   15.82654
   16.11223   16.46380   16.78665   16.92523   16.76461   16.32222   15.71255
   15.05588   14.43489

   15.23520   15.22367   15.24101   15.26544   15.31847   15.42111   15.60889
   15.88764   16.23188   16.55207   16.69630   16.54971   16.12377   15.52873
   14.88308   14.26955

   15.02385   15.01243   15.02772   15.03183   15.09208   15.20198   15.38827
   15.65810   15.99722   16.31391   16.46428   16.33112   15.92183   15.34173
   14.70744   14.10159

   14.80884   14.80120   14.81254   14.84573   14.88075   14.98274   15.16146
   15.42706   15.75763   16.07220   16.22774   16.10825   15.71586   15.15083
   14.52829   13.93046

   14.59045   14.58996   14.59548   14.61139   14.65418   14.76362   14.93477
   15.19105   15.51530   15.82692   15.98717   15.88125   15.50571   14.95639
   14.34580   13.75623

   14.37411   14.37872   14.37843   14.37707   14.44288   14.53816   14.70821
   14.95865   15.27527   15.58331   15.74890   15.65571   15.29692   14.76303
   14.16458   13.58329

   14.15232   14.16749   14.15571   14.18950   14.21591   14.31265   14.47549
   14.71962   15.02943   15.33355   15.50349   15.42377   15.08211   14.56416
   13.97810   13.40560

   13.93205   13.92608   13.93677   13.95483   13.98930   14.08733   14.24605
   14.48419   14.78588   15.08615   15.25988   15.19278   14.86791   14.36586
   13.79243   13.22871

   13.70813   13.71484   13.71217   13.71905   13.77760   13.86185   14.01350
   14.24377   14.53855   14.83389   15.01193   14.95715   14.64923   14.16349
   13.60299   13.04844

   13.48320   13.47343   13.48758   13.48328   13.55070   13.63019   13.77805
   14.00192   14.28951   14.58081   14.76228   14.71985   14.42881   13.95947
   13.41207   12.86692

   13.25763   13.26219   13.26109   13.29500   13.32361   13.39851   13.54267
   13.76022   14.04076   14.32747   14.51179   14.48128   14.20694   13.75402
   13.22002   12.68441

   13.03166   13.02078   13.03462   13.05888   13.08142   13.16698   13.30745
   13.51873   13.79128   14.07325   14.26005   14.24144   13.98378   13.54735
   13.02681   12.50103

   12.80537   12.80955   12.80814   12.82278   12.85448   12.93545   13.07230
   13.27570   13.54108   13.81883   14.00801   14.00063   13.75939   13.33953
   12.83275   12.31690

   12.57750   12.56814   12.58167   12.58668   12.62756   12.70397   12.83417
   13.03290   13.29016   13.56286   13.75429   13.75725   13.53242   13.12937
   12.63648   12.13091

   12.35025   12.35690   12.35331   12.35023   12.40056   12.47251   12.59921
   12.79023   13.04055   13.30796   13.50064   13.51386   13.30517   12.91895
   12.44003   11.94481

   12.12188   12.11549   12.12496   12.11379   12.17359   12.24110   12.36127
   12.54608   12.78922   13.05158   13.24537   13.26865   13.07588   12.70640
   12.24178   11.75724

   11.89278   11.90426   11.89661   11.92519   11.94656   12.00972   12.12343
   12.30210   12.53819   12.79430   12.98889   13.02188   12.84499   12.49226
   12.04213   11.56845

   11.66646   11.66285   11.67015   11.68914   11.70455   11.77854   11.88884
   12.06171   12.28945   12.54071   12.73559   12.77759   12.61574   12.27974
   11.84401   11.38128


 constant for Pair  sampling table at low energies
  1.100000000000000E-003 -2.95860731484178  8.000000000000000E-003  77.0769320180599  28257261.4107884  48  48  5.000000000000000E-002  1.00000000000000  21  4.750000000000000E-002  .103096419881820  .000000000000000  .472870804501588  21  2.364354022507940E-002  .103096419881820  4.683525219905790E-002

Air     
total pair x-sec. at low E
  1.100000E-03  4.051777E-05
  1.394727E-03  2.324175E-03
  1.768420E-03  9.917630E-03
  2.242239E-03  2.322039E-02
  2.843010E-03  4.161734E-02
  3.604747E-03  6.428984E-02
  4.570579E-03  9.046998E-02
  5.795189E-03  .119499
  7.347913E-03  .150824
  9.316665E-03  .183915
  1.181291E-02  .218611
  1.497798E-02  .253917
  1.899108E-02  .289536
  2.407943E-02  .325231
  3.053111E-02  .360804
  3.871141E-02  .396052
  4.908349E-02  .430715
  6.223459E-02  .464456
  7.890931E-02  .496886
  .100052  .527637
  .126859  .556418
  .160849  .583029
  .203945  .607356
  .258589  .629355
  .327874  .649047
  .415722  .666513
  .527108  .681885
  .668338  .695330
  .847408  .707027
  1.07446  .717160
  1.36234  .725903
  1.72736  .733418
  2.19017  .739854
  2.77699  .745345
  3.52104  .750012
  4.46444  .753964
  5.66062  .757299
  7.17729  .760104
  9.10032  .762457
  11.5386  .764423
  14.6302  .766063
  18.5501  .767427
  23.5203  .768558
  29.8221  .769494
  37.8125  .770268
  47.9437  .770907
  60.7894  .771433
  77.0769  .771866

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

     .12344     .11959     .11689     .11483     .11315     .11177     .11060
     .10959     .10873     .10797     .10734     .10677     .10629     .10587
     .10552     .10523     .10501     .10482     .10469     .10465     .10461

     .19490     .18882     .18457     .18133     .17871     .17653     .17470
     .17313     .17179     .17061     .16960     .16874     .16799     .16735
     .16681     .16635     .16601     .16576     .16552     .16549     .16539

     .25130     .24352     .23814     .23403     .23072     .22799     .22570
     .22375     .22207     .22063     .21937     .21830     .21738     .21659
     .21595     .21539     .21496     .21459     .21437     .21424     .21419

     .29589     .28690     .28074     .27606     .27233     .26928     .26672
     .26454     .26268     .26110     .25972     .25856     .25755     .25669
     .25598     .25537     .25491     .25456     .25427     .25422     .25410

     .33124     .32148     .31487     .30990     .30596     .30276     .30011
     .29787     .29598     .29435     .29296     .29178     .29077     .28992
     .28922     .28865     .28819     .28780     .28756     .28741     .28736

     .35939     .34923     .34244     .33740     .33347     .33029     .32768
     .32549     .32366     .32211     .32080     .31967     .31873     .31794
     .31728     .31676     .31633     .31602     .31578     .31569     .31560

     .38192     .37168     .36495     .36002     .35621     .35318     .35072
     .34869     .34702     .34561     .34443     .34345     .34262     .34191
     .34135     .34091     .34054     .34028     .34009     .33993     .33992

     .40008     .39001     .38350     .37881     .37526     .37246     .37024
     .36843     .36693     .36572     .36474     .36391     .36323     .36268
     .36223     .36186     .36158     .36139     .36122     .36112     .36113

     .41471     .40513     .39917     .39501     .39192     .38958     .38774
     .38633     .38521     .38429     .38360     .38304     .38262     .38227
     .38201     .38182     .38168     .38159     .38149     .38145     .38145

     .42734     .41843     .41298     .40924     .40656     .40457     .40308
     .40196     .40113     .40049     .40003     .39970     .39946     .39931
     .39920     .39913     .39910     .39906     .39905     .39901     .39908

     .43767     .42947     .42454     .42127     .41898     .41736     .41621
     .41540     .41484     .41449     .41426     .41415     .41412     .41414
     .41422     .41427     .41435     .41443     .41452     .41448     .41454

     .44624     .43872     .43434     .43151     .42964     .42838     .42756
     .42704     .42678     .42668     .42671     .42682     .42700     .42721
     .42742     .42764     .42783     .42799     .42808     .42819     .42821

     .45337     .44655     .44270     .44033     .43884     .43793     .43745
     .43723     .43725     .43741     .43768     .43800     .43838     .43876
     .43914     .43949     .43978     .44005     .44022     .44026     .44036

     .45937     .45323     .44992     .44797     .44686     .44630     .44611
     .44620     .44649     .44689     .44738     .44793     .44849     .44904
     .44957     .45006     .45045     .45080     .45102     .45121     .45124

     .46447     .45900     .45616     .45465     .45390     .45367     .45378
     .45416     .45471     .45535     .45609     .45684     .45759     .45831
     .45901     .45961     .46012     .46056     .46089     .46108     .46111

     .46883     .46400     .46166     .46055     .46016     .46026     .46069
     .46133     .46214     .46305     .46401     .46500     .46596     .46687
     .46769     .46844     .46909     .46960     .46998     .47017     .47028

     .47261     .46841     .46656     .46585     .46584     .46627     .46700
     .46798     .46906     .47023     .47146     .47265     .47383     .47495
     .47596     .47683     .47760     .47824     .47864     .47892     .47903

     .47591     .47235     .47099     .47070     .47107     .47186     .47295
     .47424     .47563     .47709     .47857     .48003     .48143     .48274
     .48393     .48499     .48590     .48658     .48715     .48743     .48754

     .47885     .47592     .47507     .47522     .47599     .47718     .47863
     .48022     .48193     .48369     .48545     .48717     .48881     .49032
     .49171     .49294     .49397     .49477     .49542     .49577     .49587

     .48147     .47921     .47887     .47948     .48067     .48223     .48404
     .48600     .48803     .49008     .49211     .49408     .49595     .49770
     .49926     .50065     .50181     .50275     .50343     .50386     .50396

     .48385     .48223     .48242     .48352     .48513     .48708     .48923
     .49153     .49386     .49619     .49850     .50072     .50282     .50478
     .50653     .50808     .50938     .51042     .51115     .51159     .51177

     .48602     .48505     .48577     .48733     .48934     .49166     .49416
     .49676     .49941     .50203     .50459     .50706     .50938     .51153
     .51347     .51516     .51658     .51772     .51856     .51900     .51923

     .48801     .48769     .48892     .49092     .49332     .49598     .49882
     .50172     .50463     .50754     .51034     .51304     .51558     .51793
     .52001     .52188     .52345     .52467     .52559     .52611     .52630

     .48983     .49014     .49187     .49427     .49704     .50003     .50317
     .50636     .50954     .51268     .51573     .51865     .52139     .52392
     .52619     .52818     .52985     .53119     .53219     .53279     .53295

     .49151     .49242     .49460     .49738     .50049     .50380     .50721
     .51066     .51409     .51748     .52074     .52385     .52679     .52948
     .53190     .53404     .53581     .53726     .53831     .53891     .53912

     .49305     .49451     .49712     .50024     .50368     .50724     .51093
     .51462     .51829     .52186     .52534     .52863     .53173     .53459
     .53715     .53942     .54130     .54277     .54388     .54448     .54478

     .49447     .49644     .49943     .50286     .50657     .51040     .51431
     .51822     .52208     .52586     .52951     .53298     .53624     .53923
     .54191     .54429     .54625     .54786     .54900     .54968     .54992

     .49577     .49820     .50152     .50525     .50920     .51326     .51738
     .52147     .52551     .52948     .53328     .53688     .54028     .54339
     .54621     .54867     .55072     .55237     .55359     .55435     .55455

     .49694     .49978     .50341     .50740     .51156     .51581     .52010
     .52439     .52859     .53267     .53662     .54037     .54389     .54711
     .55004     .55256     .55471     .55642     .55766     .55834     .55867

     .49800     .50122     .50512     .50932     .51366     .51810     .52255
     .52697     .53129     .53552     .53960     .54346     .54709     .55041
     .55341     .55605     .55823     .56001     .56130     .56198     .56233

     .49895     .50250     .50662     .51102     .51553     .52011     .52469
     .52925     .53370     .53803     .54223     .54620     .54990     .55334
     .55642     .55909     .56137     .56320     .56452     .56528     .56556

     .49981     .50364     .50797     .51252     .51718     .52189     .52660
     .53124     .53583     .54026     .54454     .54859     .55240     .55588
     .55905     .56179     .56413     .56594     .56732     .56808     .56840

     .50057     .50464     .50914     .51384     .51862     .52346     .52825
     .53302     .53767     .54221     .54655     .55069     .55458     .55814
     .56136     .56416     .56651     .56841     .56979     .57055     .57089

     .50125     .50554     .51018     .51499     .51990     .52480     .52972
     .53454     .53930     .54389     .54833     .55254     .55647     .56011
     .56335     .56623     .56861     .57054     .57192     .57284     .57307

     .50186     .50632     .51109     .51603     .52100     .52601     .53099
     .53589     .54069     .54538     .54987     .55414     .55813     .56180
     .56513     .56803     .57045     .57239     .57380     .57464     .57496

     .50238     .50700     .51188     .51690     .52197     .52705     .53209
     .53705     .54192     .54666     .55120     .55552     .55957     .56329
     .56663     .56956     .57204     .57397     .57543     .57628     .57660

     .50283     .50759     .51258     .51768     .52281     .52794     .53303
     .53806     .54299     .54776     .55236     .55672     .56081     .56455
     .56793     .57090     .57339     .57539     .57682     .57774     .57801

     .50325     .50812     .51318     .51833     .52353     .52871     .53387
     .53894     .54391     .54871     .55336     .55776     .56187     .56565
     .56908     .57204     .57457     .57658     .57804     .57889     .57923

     .50360     .50855     .51369     .51891     .52414     .52938     .53457
     .53969     .54468     .54955     .55420     .55863     .56277     .56658
     .57003     .57302     .57555     .57756     .57902     .57986     .58026

     .50390     .50895     .51415     .51940     .52467     .52995     .53518
     .54032     .54536     .55023     .55492     .55937     .56354     .56739
     .57084     .57387     .57640     .57843     .57991     .58084     .58114

     .50416     .50928     .51453     .51982     .52514     .53043     .53569
     .54087     .54593     .55082     .55553     .56002     .56419     .56807
     .57152     .57458     .57713     .57919     .58065     .58149     .58188

     .50439     .50957     .51486     .52018     .52553     .53084     .53613
     .54132     .54639     .55132     .55605     .56054     .56476     .56862
     .57211     .57517     .57774     .57978     .58129     .58214     .58251

     .50459     .50981     .51513     .52049     .52586     .53121     .53651
     .54170     .54679     .55174     .55651     .56100     .56523     .56911
     .57260     .57565     .57827     .58032     .58178     .58279     .58304

     .50477     .51004     .51537     .52076     .52614     .53149     .53681
     .54202     .54715     .55209     .55687     .56137     .56561     .56950
     .57301     .57608     .57867     .58076     .58227     .58311     .58348

     .50490     .51021     .51558     .52097     .52637     .53175     .53706
     .54230     .54744     .55239     .55716     .56170     .56594     .56985
     .57336     .57643     .57904     .58108     .58259     .58344     .58385

     .50503     .51036     .51575     .52116     .52657     .53195     .53730
     .54255     .54766     .55265     .55742     .56197     .56622     .57013
     .57365     .57672     .57932     .58140     .58292     .58376     .58416

     .50513     .51048     .51589     .52131     .52673     .53212     .53748
     .54272     .54788     .55286     .55765     .56219     .56644     .57036
     .57390     .57698     .57957     .58167     .58316     .58408     .58442


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

     .53779     .53779     .53778     .53776     .53773     .53768     .53762
     .53751     .53740     .53726     .53708     .53687     .53663     .53635
     .53603     .53567     .53527     .53482     .53433     .53379     .53319

     .54475     .54474     .54473     .54471     .54467     .54461     .54453
     .54442     .54428     .54410     .54390     .54365     .54336     .54303
     .54265     .54223     .54176     .54123     .54064     .54000     .53929

     .55610     .55610     .55608     .55605     .55601     .55593     .55583
     .55568     .55551     .55529     .55503     .55472     .55436     .55395
     .55347     .55294     .55234     .55168     .55095     .55014     .54925

     .57152     .57151     .57150     .57146     .57140     .57131     .57117
     .57099     .57077     .57049     .57016     .56976     .56931     .56877
     .56817     .56749     .56673     .56588     .56494     .56391     .56278

     .59056     .59056     .59053     .59049     .59041     .59029     .59012
     .58989     .58960     .58926     .58883     .58833     .58775     .58708
     .58631     .58546     .58449     .58341     .58223     .58093     .57949

     .61269     .61268     .61266     .61260     .61250     .61235     .61214
     .61186     .61150     .61107     .61054     .60991     .60919     .60835
     .60740     .60633     .60513     .60378     .60231     .60068     .59890

     .63730     .63730     .63726     .63720     .63707     .63689     .63663
     .63629     .63586     .63532     .63468     .63392     .63303     .63201
     .63085     .62955     .62808     .62645     .62464     .62267     .62050

     .66377     .66376     .66372     .66364     .66349     .66327     .66296
     .66256     .66204     .66140     .66063     .65972     .65866     .65745
     .65606     .65450     .65275     .65081     .64866     .64629     .64370

     .69143     .69143     .69138     .69129     .69111     .69085     .69049
     .69001     .68942     .68867     .68777     .68671     .68547     .68404
     .68242     .68059     .67854     .67627     .67375     .67099     .66796

     .71967     .71966     .71961     .71950     .71930     .71900     .71859
     .71804     .71734     .71648     .71545     .71423     .71281     .71117
     .70931     .70722     .70486     .70226     .69936     .69620     .69272

     .74788     .74787     .74781     .74769     .74747     .74713     .74666
     .74604     .74526     .74429     .74312     .74174     .74014     .73829
     .73619     .73382     .73116     .72822     .72496     .72138     .71747

     .77553     .77552     .77546     .77532     .77507     .77469     .77417
     .77348     .77261     .77153     .77024     .76870     .76692     .76486
     .76253     .75989     .75695     .75368     .75006     .74609     .74175

     .80216     .80214     .80208     .80192     .80165     .80124     .80067
     .79991     .79895     .79777     .79634     .79467     .79271     .79046
     .78790     .78502     .78179     .77821     .77425     .76991     .76516

     .82738     .82736     .82729     .82712     .82683     .82638     .82577
     .82495     .82391     .82263     .82108     .81926     .81714     .81471
     .81194     .80882     .80533     .80147     .79719     .79251     .78738

     .85090     .85088     .85081     .85063     .85032     .84983     .84917
     .84829     .84718     .84581     .84416     .84221     .83994     .83734
     .83438     .83105     .82732     .82320     .81864     .81364     .80817

     .87251     .87249     .87241     .87222     .87189     .87138     .87067
     .86974     .86856     .86710     .86535     .86329     .86090     .85814
     .85502     .85149     .84757     .84322     .83841     .83314     .82738

     .89208     .89206     .89198     .89178     .89143     .89089     .89015
     .88918     .88794     .88640     .88457     .88241     .87990     .87702
     .87374     .87007     .86597     .86143     .85642     .85091     .84492

     .90957     .90955     .90946     .90925     .90889     .90834     .90756
     .90654     .90525     .90366     .90176     .89951     .89691     .89393
     .89054     .88674     .88250     .87780     .87263     .86695     .86077

     .92498     .92496     .92487     .92465     .92428     .92371     .92291
     .92185     .92053     .91889     .91694     .91463     .91194     .90888
     .90542     .90151     .89718     .89237     .88709     .88130     .87497

     .93840     .93839     .93838     .93831     .93813     .93776     .93712
     .93615     .93482     .93309     .93096     .92846     .92556     .92225
     .91856     .91445     .90992     .90494     .89950     .89357     .88712

     .94992     .94991     .94990     .94983     .94964     .94925     .94859
     .94759     .94623     .94450     .94237     .93989     .93701     .93375
     .93008     .92602     .92153     .91660     .91119     .90529     .89886

     .95970     .95969     .95967     .95960     .95939     .95899     .95830
     .95728     .95590     .95416     .95207     .94960     .94677     .94357
     .93998     .93598     .93155     .92668     .92133     .91548     .90910

     .96789     .96788     .96787     .96778     .96757     .96714     .96643
     .96538     .96401     .96229     .96021     .95780     .95503     .95190
     .94839     .94448     .94014     .93536     .93010     .92433     .91801

     .97468     .97467     .97465     .97457     .97433     .97389     .97315
     .97210     .97073     .96903     .96702     .96467     .96199     .95895
     .95553     .95172     .94749     .94281     .93766     .93199     .92576

     .98023     .98022     .98021     .98010     .97987     .97940     .97865
     .97760     .97626     .97461     .97266     .97040     .96781     .96488
     .96158     .95789     .95377     .94921     .94417     .93861     .93250

     .98472     .98471     .98470     .98459     .98433     .98385     .98310
     .98208     .98076     .97918     .97731     .97514     .97267     .96984
     .96666     .96310     .95910     .95468     .94977     .94434     .93835

     .98831     .98830     .98828     .98817     .98790     .98741     .98666
     .98568     .98442     .98290     .98113     .97906     .97669     .97399
     .97094     .96751     .96367     .95936     .95459     .94930     .94343

     .99114     .99114     .99112     .99100     .99072     .99022     .98950
     .98856     .98737     .98593     .98426     .98231     .98004     .97747
     .97454     .97125     .96754     .96339     .95876     .95360     .94788

     .99336     .99335     .99332     .99320     .99293     .99243     .99176
     .99085     .98974     .98840     .98682     .98496     .98284     .98039
     .97760     .97444     .97087     .96687     .96238     .95738     .95180

     .99507     .99506     .99503     .99491     .99462     .99416     .99351
     .99268     .99163     .99039     .98891     .98718     .98517     .98284
     .98020     .97717     .97376     .96989     .96557     .96071     .95530

     .99638     .99637     .99634     .99622     .99593     .99549     .99490
     .99411     .99316     .99201     .99063     .98901     .98711     .98492
     .98240     .97954     .97627     .97256     .96839     .96369     .95844

     .99736     .99736     .99733     .99721     .99693     .99652     .99598
     .99526     .99438     .99332     .99204     .99053     .98875     .98669
     .98432     .98159     .97846     .97492     .97090     .96638     .96129

     .99810     .99809     .99806     .99794     .99768     .99732     .99682
     .99616     .99536     .99439     .99320     .99180     .99014     .98820
     .98596     .98336     .98040     .97701     .97317     .96882     .96391

     .99865     .99864     .99861     .99849     .99826     .99792     .99747
     .99689     .99616     .99526     .99417     .99286     .99132     .98951
     .98739     .98494     .98211     .97889     .97520     .97103     .96630

     .99905     .99904     .99901     .99889     .99869     .99838     .99797
     .99745     .99678     .99596     .99497     .99377     .99232     .99063
     .98864     .98632     .98364     .98056     .97705     .97304     .96849

     .99933     .99933     .99929     .99919     .99901     .99873     .99838
     .99791     .99730     .99655     .99564     .99453     .99318     .99158
     .98973     .98753     .98500     .98208     .97871     .97485     .97046

     .99954     .99953     .99950     .99941     .99924     .99901     .99869
     .99827     .99772     .99703     .99619     .99516     .99391     .99243
     .99067     .98860     .98619     .98340     .98017     .97647     .97223

     .99968     .99968     .99965     .99957     .99942     .99922     .99893
     .99855     .99806     .99743     .99666     .99570     .99454     .99315
     .99149     .98954     .98725     .98458     .98147     .97789     .97377

     .99979     .99978     .99975     .99967     .99955     .99937     .99912
     .99877     .99833     .99776     .99705     .99616     .99508     .99377
     .99221     .99035     .98816     .98559     .98259     .97911     .97510

     .99986     .99985     .99982     .99976     .99965     .99950     .99927
     .99896     .99855     .99803     .99738     .99655     .99553     .99431
     .99282     .99105     .98894     .98646     .98354     .98016     .97622

     .99990     .99990     .99988     .99982     .99973     .99959     .99938
     .99910     .99874     .99826     .99765     .99688     .99593     .99476
     .99334     .99163     .98960     .98719     .98434     .98101     .97715

     .99994     .99993     .99991     .99987     .99978     .99965     .99949
     .99923     .99889     .99845     .99789     .99715     .99625     .99514
     .99378     .99212     .99015     .98779     .98499     .98173     .97791

     .99996     .99995     .99994     .99989     .99983     .99972     .99955
     .99933     .99902     .99861     .99807     .99739     .99653     .99545
     .99414     .99252     .99058     .98828     .98553     .98230     .97851

     .99997     .99997     .99995     .99992     .99986     .99977     .99962
     .99940     .99913     .99875     .99823     .99759     .99675     .99571
     .99443     .99286     .99095     .98866     .98594     .98276     .97900

     .99998     .99998     .99996     .99993     .99988     .99979     .99967
     .99947     .99921     .99885     .99836     .99773     .99692     .99592
     .99465     .99311     .99123     .98897     .98627     .98310     .97938

     .99999     .99998     .99998     .99995     .99991     .99983     .99971
     .99952     .99928     .99893     .99847     .99786     .99707     .99608
     .99484     .99330     .99144     .98921     .98654     .98338     .97967

     .99999     .99999     .99999     .99996     .99992     .99985     .99974
     .99957     .99933     .99899     .99855     .99796     .99718     .99620
     .99498     .99346     .99161     .98938     .98673     .98358     .97987


constant used in Pair cre. sampling with LPM
  28257261.4107884  25  2.500000000000000E-002  .100000000000000  .000000000000000  1.00000000000000  41  7.45113006933792  7097903152.93787

Air     
Pair total x-sec. with LPM
  2.825726E+07  .773746
  3.557378E+07  .773088
  4.478474E+07  .773088
  5.638065E+07  .773088
  7.097903E+07  .773088
  8.935730E+07  .773088
  1.124942E+08  .773088
  1.416218E+08  .771930
  1.782913E+08  .772241
  2.244554E+08  .772083
  2.825726E+08  .771609
  3.557379E+08  .768692
  4.478474E+08  .764116
  5.638065E+08  .756482
  7.097903E+08  .745198
  8.935731E+08  .730789
  1.124942E+09  .712633
  1.416218E+09  .690717
  1.782913E+09  .665734
  2.244554E+09  .637778
  2.825726E+09  .607433
  3.557379E+09  .575250
  4.478474E+09  .541824
  5.638065E+09  .507771
  7.097903E+09  .473577

Pair table with LPM
    1.00000     .99026     .98040     .97041     .96026     .94999     .93958
     .92904     .91834     .90749     .89651     .88537     .87406     .86262
     .85102     .83926     .82734     .81525     .80302     .79063     .77807
     .76536     .75249     .73947     .72630     .71298     .69951     .68591
     .67218     .65831     .64434     .63025     .61605     .60176     .58738
     .57293     .55842     .54386     .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     .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     .97030     .96014     .94984     .93940
     .92883     .91811     .90725     .89625     .88509     .87379     .86233
     .85072     .83895     .82703     .81496     .80273     .79035     .77781
     .76511     .75228     .73928     .72615     .71286     .69940     .68573
     .67205     .65825     .64415     .63013     .61601     .60152     .58723
     .57287     .55845     .54398     .52948     .51493     .50000

    1.00000     .99023     .98032     .97028     .96012     .94982     .93938
     .92879     .91808     .90720     .89620     .88503     .87373     .86227
     .85065     .83887     .82696     .81487     .80264     .79021     .77760
     .76490     .75193     .73895     .72582     .71235     .69895     .68542
     .67176     .65797     .64377     .62977     .61567     .60147     .58719
     .57284     .55843     .54396     .52904     .51453     .50000

    1.00000     .99023     .98032     .97030     .96014     .94984     .93940
     .92881     .91810     .90723     .89622     .88506     .87376     .86230
     .85069     .83889     .82691     .81474     .80253     .79017     .77750
     .76485     .75204     .73885     .72576     .71252     .69914     .68561
     .67196     .65817     .64396     .62996     .61586     .60166     .58737
     .57300     .55857     .54409     .52957     .51502     .50000

    1.00000     .99023     .98034     .97031     .96015     .94987     .93943
     .92886     .91814     .90730     .89629     .88514     .87377     .86233
     .85067     .83881     .82694     .81492     .80273     .79023     .77775
     .76510     .75231     .73935     .72600     .71276     .69937     .68583
     .67215     .65834     .64440     .63034     .61582     .60157     .58724
     .57283     .55835     .54381     .52923     .51462     .50000

    1.00000     .99027     .98042     .97042     .96030     .95005     .93967
     .92915     .91848     .90765     .89666     .88552     .87420     .86285
     .85133     .83955     .82774     .81576     .80363     .79115     .77871
     .76611     .75332     .74038     .72728     .71402     .70033     .68678
     .67308     .65924     .64527     .63117     .61695     .60263     .58821
     .57370     .55912     .54448     .52980     .51470     .50000

    1.00000     .99033     .98054     .97060     .96055     .95037     .94004
     .92959     .91895     .90818     .89727     .88628     .87505     .86378
     .85235     .84061     .82887     .81696     .80488     .79261     .78017
     .76736     .75459     .74165     .72853     .71524     .70179     .68817
     .67439     .66046     .64638     .63218     .61753     .60311     .58858
     .57396     .55926     .54451     .52970     .51486     .50000

    1.00000     .99043     .98074     .97091     .96096     .95087     .94064
     .93026     .91976     .90919     .89840     .88754     .87641     .86526
     .85392     .84241     .83074     .81872     .80668     .79447     .78207
     .76948     .75669     .74372     .73056     .71721     .70345     .68977
     .67592     .66191     .64774     .63342     .61897     .60439     .58969
     .57490     .56003     .54509     .53009     .51506     .50000

    1.00000     .99056     .98103     .97135     .96156     .95161     .94155
     .93137     .92104     .91065     .90002     .88932     .87844     .86741
     .85606     .84466     .83308     .82130     .80932     .79714     .78475
     .77198     .75920     .74623     .73304     .71967     .70609     .69232
     .67836     .66423     .64992     .63545     .62083     .60607     .59119
     .57620     .56083     .54569     .53049     .51525     .50000

    1.00000     .99075     .98139     .97192     .96230     .95254     .94270
     .93278     .92266     .91245     .90209     .89153     .88073     .86983
     .85874     .84743     .83593     .82421     .81214     .80001     .78767
     .77509     .76229     .74928     .73603     .72258     .70890     .69501
     .68092     .66662     .65192     .63728     .62248     .60752     .59243
     .57722     .56190     .54650     .53104     .51553     .50000

    1.00000     .99099     .98186     .97262     .96323     .95377     .94424
     .93452     .92469     .91470     .90446     .89411     .88355     .87280
     .86182     .85053     .83915     .82752     .81567     .80357     .79124
     .77866     .76583     .75277     .73947     .72575     .71198     .69798
     .68376     .66932     .65467     .63982     .62479     .60959     .59423
     .57875     .56314     .54744     .53167     .51585     .50000

    1.00000     .99126     .98243     .97346     .96442     .95528     .94599
     .93659     .92696     .91723     .90728     .89712     .88667     .87609
     .86527     .85423     .84295     .83141     .81962     .80756     .79525
     .78255     .76974     .75664     .74329     .72968     .71580     .70167
     .68730     .67267     .65782     .64274     .62747     .61200     .59635
     .58055     .56463     .54860     .53234     .51618     .50000

    1.00000     .99158     .98307     .97443     .96575     .95693     .94799
     .93884     .92954     .92004     .91024     .90032     .89014     .87974
     .86909     .85818     .84699     .83555     .82372     .81174     .79948
     .78692     .77409     .76095     .74752     .73381     .71982     .70554
     .69098     .67616     .66108     .64575     .63006     .61430     .59835
     .58223     .56597     .54958     .53311     .51657     .50000

    1.00000     .99194     .98377     .97553     .96722     .95876     .95011
     .94131     .93229     .92300     .91354     .90383     .89387     .88363
     .87315     .86230     .85125     .83991     .82830     .81637     .80413
     .79159     .77874     .76556     .75207     .73826     .72414     .70961
     .69488     .67985     .66455     .64897     .63313     .61705     .60077
     .58428     .56762     .55084     .53395     .51699     .50000

    1.00000     .99232     .98455     .97674     .96879     .96069     .95240
     .94386     .93514     .92617     .91695     .90748     .89773     .88764
     .87733     .86672     .85581     .84460     .83305     .82119     .80900
     .79647     .78359     .77030     .75676     .74287     .72863     .71406
     .69915     .68391     .66835     .65248     .63634     .61992     .60327
     .58641     .56936     .55214     .53482     .51743     .50000

    1.00000     .99273     .98537     .97797     .97042     .96268     .95470
     .94654     .93812     .92942     .92046     .91117     .90165     .89184
     .88171     .87125     .86048     .84939     .83794     .82615     .81394
     .80145     .78858     .77535     .76175     .74777     .73340     .71868
     .70356     .68811     .67231     .65617     .63970     .62295     .60593
     .58867     .57120     .55353     .53576     .51790     .50000

    1.00000     .99316     .98624     .97926     .97208     .96470     .95710
     .94924     .94111     .93266     .92397     .91499     .90568     .89606
     .88612     .87585     .86521     .85419     .84286     .83115     .81908
     .80662     .79375     .78049     .76684     .75277     .73830     .72341
     .70813     .69247     .67642     .65999     .64319     .62609     .60869
     .59102     .57312     .55502     .53673     .51839     .50000

    1.00000     .99358     .98711     .98054     .97376     .96673     .95947
     .95191     .94405     .93594     .92750     .91875     .90968     .90028
     .89051     .88038     .86991     .85908     .84785     .83624     .82421
     .81178     .79893     .78567     .77195     .75781     .74324     .72821
     .71276     .69687     .68058     .66387     .64678     .62928     .61149
     .59340     .57505     .55648     .53775     .51890     .50000

    1.00000     .99401     .98798     .98180     .97540     .96873     .96178
     .95452     .94700     .93914     .93098     .92248     .91363     .90440
     .89484     .88491     .87460     .86388     .85278     .84126     .82931
     .81693     .80410     .79082     .77708     .76288     .74821     .73307
     .71745     .70134     .68480     .66782     .65040     .63260     .61441
     .59589     .57708     .55800     .53878     .51942     .50000


# ************muon tab*********************** 
#     This table  has been made by using ../../Data/BaseM/Air 
#     with nuclear interaction formula: 1
#     Sun Feb 20 17:39:39 GMT+0900 2000 by K using 
#      version epics.uv5.20  
# 
-------------------------------------------
constant used in muon pair creation sampling
  1.000000000000000E-004  .100000000000000  .200000000000000  18.4826551756518  73580.7755629467  1.000000000000000E-002  101  19  38  92632.7081757169

Air     
Muon pair cre. total X-sec. table (Prob./X0) upto E=  92632.7081757171 GeV
  18.4827  7.193900E-03
  23.2683  8.478221E-03
  29.2930  9.844374E-03
  36.8777  1.126443E-02
  46.4263  1.271928E-02
  58.4473  1.419351E-02
  73.5808  1.567394E-02
  92.6327  1.714887E-02
  116.618  1.860773E-02
  146.813  2.004086E-02
  184.827  2.143936E-02
  232.683  2.279506E-02
  292.930  2.410056E-02
  368.777  2.534926E-02
  464.263  2.653538E-02
  584.473  2.765413E-02
  735.808  2.870168E-02
  926.327  2.967533E-02
  1166.18  3.057350E-02
  1468.13  3.139576E-02
  1848.27  3.214281E-02
  2326.83  3.281647E-02
  2929.30  3.341948E-02
  3687.77  3.395543E-02
  4642.63  3.442854E-02
  5844.73  3.484351E-02
  7358.08  3.520528E-02
  9263.27  3.551890E-02
  11661.8  3.578936E-02
  14681.3  3.602146E-02
  18482.7  3.621975E-02
  23268.3  3.638842E-02
  29293.0  3.653134E-02
  36877.7  3.665197E-02
  46426.3  3.675341E-02
  58447.3  3.683841E-02
  73580.8  3.690937E-02
  92632.7  3.696840E-02

Air     
dE/dx(v<vmin)/Emu (/(g/cm2))by muon pair cre.
  18.4827  .000000
  23.2683  2.545246E-11
  29.2930  2.010052E-10
  36.8777  5.755369E-10
  46.4263  1.162957E-09
  58.4473  1.961822E-09
  73.5808  2.962111E-09
  92.6327  4.148937E-09
  116.618  5.504788E-09
  146.813  7.010942E-09
  184.827  8.648333E-09
  232.683  1.039807E-08
  292.930  1.224173E-08
  368.777  1.416143E-08
  464.263  1.613989E-08
  584.473  1.816035E-08
  735.808  2.020651E-08
  926.327  2.226246E-08
  1166.18  2.431269E-08
  1468.13  2.634211E-08
  1848.27  2.833621E-08
  2326.83  3.028120E-08
  2929.30  3.216430E-08
  3687.77  3.397399E-08
  4642.63  3.570032E-08
  5844.73  3.733508E-08
  7358.08  3.887201E-08
  9263.27  4.030686E-08
  11661.8  4.163733E-08
  14681.3  4.286300E-08
  18482.7  4.398512E-08
  23268.3  4.500639E-08
  29293.0  4.593070E-08
  36877.7  4.676286E-08
  46426.3  4.750836E-08
  58447.3  4.817312E-08
  73580.8  4.876330E-08
  92632.7  4.928510E-08

Air     
dE/dx(v<vmax)/Emu (/(g/cm2))by muon pair cre.
  18.4827  6.646229E-07
  23.2683  7.254500E-07
  29.2930  7.863046E-07
  36.8777  8.467858E-07
  46.4263  9.065091E-07
  58.4473  9.650813E-07
  73.5808  1.022132E-06
  92.6327  1.077301E-06
  116.618  1.130258E-06
  146.813  1.180714E-06
  184.827  1.228426E-06
  232.683  1.273202E-06
  292.930  1.314911E-06
  368.777  1.353480E-06
  464.263  1.388894E-06
  584.473  1.421187E-06
  735.808  1.450442E-06
  926.327  1.476778E-06
  1166.18  1.500344E-06
  1468.13  1.521312E-06
  1848.27  1.539868E-06
  2326.83  1.556205E-06
  2929.30  1.570521E-06
  3687.77  1.583009E-06
  4642.63  1.593858E-06
  5844.73  1.603247E-06
  7358.08  1.611343E-06
  9263.27  1.618302E-06
  11661.8  1.624264E-06
  14681.3  1.629359E-06
  18482.7  1.633701E-06
  23268.3  1.637393E-06
  29293.0  1.640525E-06
  36877.7  1.643176E-06
  46426.3  1.645417E-06
  58447.3  1.647306E-06
  73580.8  1.648897E-06
  92632.7  1.650235E-06

constant used in muon Brems sampling
  1.000000000000000E-004  .100000000000000  .200000000000000  26.4037931080739  66323.3296485571  1.000000000000000E-002  101  18  36  83496.1250893700

Air     
Muon brems total X-sec. table (Prob./X0) upto E=  83496.1250893702 GeV
  26.4038  4.991255E-04
  33.2404  5.046403E-04
  41.8472  5.097804E-04
  52.6825  5.146087E-04
  66.3233  5.191313E-04
  83.4961  5.233544E-04
  105.115  5.272852E-04
  132.332  5.309320E-04
  166.597  5.343035E-04
  209.733  5.374097E-04
  264.038  5.402609E-04
  332.404  5.428683E-04
  418.472  5.452436E-04
  526.825  5.473992E-04
  663.233  5.493478E-04
  834.961  5.511022E-04
  1051.15  5.526756E-04
  1323.32  5.540811E-04
  1665.97  5.553317E-04
  2097.33  5.564402E-04
  2640.38  5.574188E-04
  3324.04  5.582796E-04
  4184.72  5.590339E-04
  5268.25  5.596924E-04
  6632.33  5.602653E-04
  8349.61  5.607619E-04
  10511.5  5.611909E-04
  13233.2  5.615603E-04
  16659.7  5.618773E-04
  20973.3  5.621485E-04
  26403.8  5.623798E-04
  33240.4  5.625766E-04
  41847.2  5.627434E-04
  52682.5  5.628845E-04
  66323.3  5.630035E-04
  83496.1  5.631037E-04

Air     
dE/dx(v<vmin)/Emu (/(g/cm2))by muon brems
  26.4038  1.794520E-10
  33.2404  1.794643E-10
  41.8472  1.794741E-10
  52.6825  1.794819E-10
  66.3233  1.794881E-10
  83.4961  1.794930E-10
  105.115  1.794969E-10
  132.332  1.795000E-10
  166.597  1.795025E-10
  209.733  1.795045E-10
  264.038  1.795060E-10
  332.404  1.795072E-10
  418.472  1.795082E-10
  526.825  1.795090E-10
  663.233  1.795096E-10
  834.961  1.795101E-10
  1051.15  1.795105E-10
  1323.32  1.795108E-10
  1665.97  1.795111E-10
  2097.33  1.795113E-10
  2640.38  1.795114E-10
  3324.04  1.795115E-10
  4184.72  1.795116E-10
  5268.25  1.795117E-10
  6632.33  1.795118E-10
  8349.61  1.795118E-10
  10511.5  1.795119E-10
  13233.2  1.795119E-10
  16659.7  1.795119E-10
  20973.3  1.795119E-10
  26403.8  1.795120E-10
  33240.4  1.795120E-10
  41847.2  1.795120E-10
  52682.5  1.795120E-10
  66323.3  1.795120E-10
  83496.1  1.795120E-10

Air     
dE/dx(v<vmax)/Emu (/(g/cm2))by muon brems
  26.4038  7.851459E-07
  33.2404  8.162964E-07
  41.8472  8.452586E-07
  52.6825  8.738448E-07
  66.3233  9.019943E-07
  83.4961  9.296443E-07
  105.115  9.567310E-07
  132.332  9.831886E-07
  166.597  1.008949E-06
  209.733  1.033945E-06
  264.038  1.058108E-06
  332.404  1.081374E-06
  418.472  1.103681E-06
  526.825  1.124974E-06
  663.233  1.145202E-06
  834.961  1.164325E-06
  1051.15  1.182311E-06
  1323.32  1.199139E-06
  1665.97  1.214800E-06
  2097.33  1.229293E-06
  2640.38  1.242633E-06
  3324.04  1.254842E-06
  4184.72  1.265953E-06
  5268.25  1.276010E-06
  6632.33  1.285062E-06
  8349.61  1.293165E-06
  10511.5  1.300380E-06
  13233.2  1.306771E-06
  16659.7  1.312403E-06
  20973.3  1.317342E-06
  26403.8  1.321653E-06
  33240.4  1.325399E-06
  41847.2  1.328640E-06
  52682.5  1.331432E-06
  66323.3  1.333828E-06
  83496.1  1.335876E-06

constant used in muon Nuc. int. sampling
  1.000000000000000E-004  .100000000000000  .200000000000000  40.7451833474073  64576.7637128858  1.000000000000000E-002  101  17  34  81297.3288495795

Air     
Muon Nuc. Int. total X-sec. table (Prob./X0) upto E=  81297.3288495795 GeV
  40.7452  1.310902E-04
  51.2951  1.443953E-04
  64.5768  1.583871E-04
  81.2973  1.723823E-04
  102.347  1.876847E-04
  128.848  2.024248E-04
  162.210  2.183629E-04
  204.210  2.342787E-04
  257.085  2.511979E-04
  323.650  2.689821E-04
  407.452  2.865528E-04
  512.951  3.059776E-04
  645.768  3.243481E-04
  812.973  3.442804E-04
  1023.47  3.641881E-04
  1288.48  3.852567E-04
  1622.09  4.073945E-04
  2042.10  4.291028E-04
  2570.85  4.532557E-04
  3236.50  4.758112E-04
  4074.52  5.002873E-04
  5129.51  5.247434E-04
  6457.68  5.504867E-04
  8129.73  5.669718E-04
  10234.7  5.552148E-04
  12884.8  5.474453E-04
  16220.9  5.463560E-04
  20421.0  5.454634E-04
  25708.5  5.450228E-04
  32365.0  5.451491E-04
  40745.2  5.459398E-04
  51295.1  5.473127E-04
  64576.8  5.492579E-04
  81297.3  5.518548E-04

  1.794662665985883E-002 = power of energy dependence at higher energies
Air     
dE/dx(v<vmin)/Emu (/(g/cm2))by muon Nuc. int
  40.7452  .000000
  51.2951  .000000
  64.5768  .000000
  81.2973  .000000
  102.347  .000000
  128.848  .000000
  162.210  .000000
  204.210  .000000
  257.085  .000000
  323.650  .000000
  407.452  .000000
  512.951  .000000
  645.768  .000000
  812.973  .000000
  1023.47  .000000
  1288.48  .000000
  1622.09  .000000
  2042.10  .000000
  2570.85  .000000
  3236.50  .000000
  4074.52  .000000
  5129.51  .000000
  6457.68  .000000
  8129.73  2.807180E-11
  10234.7  1.163751E-10
  12884.8  1.773294E-10
  16220.9  2.117984E-10
  20421.0  2.393522E-10
  25708.5  2.611831E-10
  32365.0  2.778167E-10
  40745.2  2.899072E-10
  51295.1  2.990123E-10
  64576.8  3.054035E-10
  81297.3  3.095129E-10

  7.494852815063913E-002 = power of energy dependence at higher energies
Air     
dE/dx(v<vmax)/Emu (/(g/cm2))by muon Nuc. int
  40.7452  4.023329E-07
  51.2951  4.028545E-07
  64.5768  4.027072E-07
  81.2973  4.023190E-07
  102.347  4.019831E-07
  128.848  4.018831E-07
  162.210  4.021842E-07
  204.210  4.030401E-07
  257.085  4.045752E-07
  323.650  4.067816E-07
  407.452  4.096254E-07
  512.951  4.130630E-07
  645.768  4.170390E-07
  812.973  4.215000E-07
  1023.47  4.263682E-07
  1288.48  4.315880E-07
  1622.09  4.371165E-07
  2042.10  4.428972E-07
  2570.85  4.488858E-07
  3236.50  4.550434E-07
  4074.52  4.613367E-07
  5129.51  4.677369E-07
  6457.68  4.742195E-07
  8129.73  4.807641E-07
  10234.7  4.873534E-07
  12884.8  4.939729E-07
  16220.9  5.006108E-07
  20421.0  5.072571E-07
  25708.5  5.139038E-07
  32365.0  5.205442E-07
  40745.2  5.271727E-07
  51295.1  5.337852E-07
  64576.8  5.403780E-07
  81297.3  5.469484E-07

  5.289883443973254E-002 = power of energy dependence at higher energies
muon nuc. int.  sampling table
   -1.72472   -1.45269   -1.25199   -1.11430   -1.01163    -.93087    -.86523
    -.81039    -.76354    -.72280    -.68686    -.65479    -.62586    -.59956
    -.57547    -.55325    -.53264    -.51343    -.49545    -.47862    -.46285
    -.44801    -.43401    -.42076    -.40820    -.39626    -.38489    -.37404
    -.36366    -.35372    -.34419    -.33503    -.32622    -.31773    -.30955
    -.30164    -.29400    -.28661    -.27944    -.27250    -.26576    -.25921
    -.25285    -.24665    -.24063    -.23475    -.22902    -.22343    -.21798
    -.21265    -.20743    -.20233    -.19734    -.19245    -.18766    -.18297
    -.17836    -.17383    -.16939    -.16503    -.16074    -.15651    -.15236
    -.14827    -.14424    -.14026    -.13635    -.13248    -.12866    -.12489
    -.12116    -.11748    -.11383    -.11022    -.10664    -.10309    -.09957
    -.09607    -.09260    -.08914    -.08570    -.08227    -.07885    -.07544
    -.07202    -.06861    -.06518    -.06173    -.05826    -.05476    -.05122
    -.04762    -.04395    -.04018    -.03631    -.03218    -.02790    -.02253
    -.01677    -.01320    -.00113

   -1.92472   -1.61718   -1.39522   -1.24252   -1.12845   -1.03907    -.96638
    -.90549    -.85333    -.80783    -.76753    -.73141    -.69869    -.66897
    -.64190    -.61708    -.59421    -.57301    -.55328    -.53485    -.51756
    -.50130    -.48595    -.47142    -.45764    -.44453    -.43204    -.42011
    -.40870    -.39777    -.38727    -.37718    -.36747    -.35811    -.34907
    -.34034    -.33189    -.32371    -.31577    -.30808    -.30060    -.29333
    -.28626    -.27937    -.27266    -.26612    -.25973    -.25349    -.24740
    -.24143    -.23560    -.22989    -.22429    -.21880    -.21342    -.20814
    -.20295    -.19786    -.19285    -.18793    -.18308    -.17831    -.17360
    -.16897    -.16440    -.15990    -.15545    -.15105    -.14671    -.14242
    -.13817    -.13397    -.12981    -.12569    -.12160    -.11754    -.11351
    -.10951    -.10553    -.10157    -.09762    -.09369    -.08976    -.08584
    -.08191    -.07799    -.07405    -.07010    -.06612    -.06210    -.05804
    -.05392    -.04972    -.04543    -.04098    -.03638    -.03141    -.02626
    -.01842    -.01417    -.00071

   -2.12472   -1.78196   -1.53838   -1.37024   -1.24475   -1.14634   -1.06600
    -.99840    -.94016    -.88905    -.84402    -.80409    -.76830    -.73596
    -.70650    -.67950    -.65461    -.63155    -.61008    -.59002    -.57119
    -.55347    -.53674    -.52091    -.50587    -.49157    -.47793    -.46489
    -.45242    -.44045    -.42896    -.41790    -.40725    -.39697    -.38704
    -.37743    -.36813    -.35912    -.35037    -.34187    -.33360    -.32556
    -.31773    -.31009    -.30264    -.29536    -.28825    -.28131    -.27451
    -.26787    -.26137    -.25501    -.24878    -.24266    -.23667    -.23079
    -.22501    -.21933    -.21375    -.20826    -.20286    -.19755    -.19231
    -.18715    -.18206    -.17704    -.17209    -.16719    -.16236    -.15758
    -.15285    -.14818    -.14354    -.13896    -.13441    -.12989    -.12541
    -.12096    -.11654    -.11214    -.10776    -.10339    -.09904    -.09469
    -.09034    -.08599    -.08162    -.07724    -.07283    -.06838    -.06388
    -.05931    -.05467    -.04990    -.04500    -.03989    -.03454    -.02867
    -.02067    -.01475    -.00045

   -2.32472   -1.94684   -1.68123   -1.49722   -1.35994   -1.25171   -1.16276
   -1.08731   -1.02278    -.96705    -.91821    -.87489    -.83608    -.80098
    -.76902    -.73971    -.71267    -.68761    -.66427    -.64244    -.62195
    -.60264    -.58440    -.56711    -.55068    -.53504    -.52010    -.50582
    -.49213    -.47898    -.46637    -.45425    -.44258    -.43133    -.42048
    -.40999    -.39985    -.39002    -.38049    -.37125    -.36227    -.35354
    -.34504    -.33676    -.32869    -.32082    -.31314    -.30563    -.29830
    -.29112    -.28409    -.27721    -.27047    -.26385    -.25736    -.25099
    -.24473    -.23858    -.23253    -.22658    -.22072    -.21495    -.20926
    -.20366    -.19813    -.19267    -.18729    -.18196    -.17670    -.17150
    -.16636    -.16126    -.15622    -.15121    -.14626    -.14134    -.13645
    -.13160    -.12677    -.12197    -.11719    -.11242    -.10766    -.10291
    -.09817    -.09341    -.08864    -.08386    -.07904    -.07418    -.06927
    -.06429    -.05922    -.05403    -.04869    -.04313    -.03730    -.03093
    -.02357    -.01515    -.00028

   -2.52472   -2.11161   -1.82344   -1.62318   -1.47320   -1.35396   -1.25521
   -1.17290   -1.10307   -1.04274    -.98984    -.94290    -.90080    -.86271
    -.82798    -.79610    -.76667    -.73934    -.71386    -.68999    -.66758
    -.64652    -.62667    -.60790    -.59012    -.57322    -.55712    -.54177
    -.52709    -.51302    -.49953    -.48656    -.47408    -.46206    -.45045
    -.43924    -.42839    -.41788    -.40770    -.39781    -.38821    -.37887
    -.36978    -.36093    -.35230    -.34389    -.33567    -.32764    -.31979
    -.31211    -.30459    -.29722    -.29000    -.28292    -.27597    -.26914
    -.26244    -.25585    -.24937    -.24299    -.23671    -.23052    -.22442
    -.21841    -.21248    -.20662    -.20084    -.19513    -.18948    -.18390
    -.17837    -.17290    -.16747    -.16210    -.15677    -.15148    -.14623
    -.14101    -.13583    -.13066    -.12552    -.12040    -.11528    -.11018
    -.10507    -.09996    -.09484    -.08969    -.08452    -.07930    -.07403
    -.06868    -.06324    -.05767    -.05194    -.04599    -.03972    -.03298
    -.02561    -.01548    -.00018

   -2.72472   -2.27609   -1.96461   -1.74754   -1.58359   -1.45190   -1.34483
   -1.25594   -1.18044   -1.11513   -1.05780   -1.00684    -.96106    -.91956
    -.88165    -.84692    -.81498    -.78547    -.75806    -.73251    -.70859
    -.68613    -.66497    -.64497    -.62603    -.60804    -.59091    -.57458
    -.55897    -.54403    -.52969    -.51592    -.50268    -.48991    -.47760
    -.46571    -.45421    -.44307    -.43228    -.42181    -.41164    -.40175
    -.39214    -.38277    -.37364    -.36474    -.35604    -.34755    -.33925
    -.33114    -.32319    -.31541    -.30778    -.30030    -.29296    -.28575
    -.27868    -.27172    -.26487    -.25813    -.25150    -.24496    -.23852
    -.23216    -.22589    -.21969    -.21358    -.20753    -.20155    -.19563
    -.18978    -.18398    -.17823    -.17253    -.16687    -.16126    -.15568
    -.15014    -.14462    -.13913    -.13366    -.12821    -.12277    -.11733
    -.11189    -.10644    -.10098    -.09549    -.08997    -.08440    -.07877
    -.07306    -.06724    -.06130    -.05518    -.04883    -.04216    -.03504
    -.02707    -.01589    -.00011

   -2.92472   -2.44015   -2.10466   -1.86977   -1.69000   -1.54712   -1.43174
   -1.33577   -1.25410   -1.18330   -1.12098   -1.06546   -1.01583    -.97116
    -.93063    -.89362    -.85962    -.82823    -.79911    -.77198    -.74662
    -.72281    -.70041    -.67926    -.65924    -.64024    -.62217    -.60496
    -.58852    -.57279    -.55771    -.54325    -.52934    -.51595    -.50305
    -.49059    -.47855    -.46690    -.45562    -.44466    -.43403    -.42369
    -.41363    -.40384    -.39429    -.38497    -.37588    -.36699    -.35831
    -.34980    -.34148    -.33332    -.32533    -.31748    -.30978    -.30221
    -.29477    -.28746    -.28026    -.27318    -.26620    -.25932    -.25253
    -.24584    -.23923    -.23270    -.22625    -.21987    -.21356    -.20732
    -.20113    -.19501    -.18893    -.18291    -.17693    -.17099    -.16508
    -.15921    -.15337    -.14755    -.14175    -.13597    -.13020    -.12443
    -.11865    -.11287    -.10706    -.10123    -.09537    -.08945    -.08346
    -.07740    -.07122    -.06490    -.05840    -.05165    -.04458    -.03700
    -.02854    -.01643    -.00007

   -3.12472   -2.60365   -2.24343   -1.98924   -1.79321   -1.63969   -1.51540
   -1.41172   -1.32319   -1.24628   -1.17915   -1.11993   -1.06715   -1.01969
    -.97671    -.93751    -.90156    -.86842    -.83771    -.80915    -.78249
    -.75750    -.73402    -.71188    -.69096    -.67114    -.65229    -.63435
    -.61722    -.60083    -.58513    -.57006    -.55557    -.54161    -.52816
    -.51517    -.50261    -.49046    -.47868    -.46725    -.45615    -.44535
    -.43485    -.42463    -.41466    -.40493    -.39543    -.38615    -.37707
    -.36818    -.35948    -.35096    -.34259    -.33438    -.32633    -.31841
    -.31062    -.30296    -.29542    -.28800    -.28068    -.27347    -.26635
    -.25933    -.25240    -.24554    -.23877    -.23207    -.22544    -.21887
    -.21237    -.20592    -.19953    -.19318    -.18688    -.18062    -.17440
    -.16821    -.16205    -.15591    -.14979    -.14368    -.13758    -.13148
    -.12538    -.11926    -.11312    -.10695    -.10074    -.09448    -.08814
    -.08172    -.07517    -.06848    -.06160    -.05446    -.04697    -.03895
    -.03001    -.01714    -.00004

   -3.32472   -2.76650   -2.38068   -2.10521   -1.89404   -1.72920   -1.59524
   -1.48299   -1.38757   -1.30570   -1.23446   -1.17174   -1.11595   -1.06589
   -1.02065    -.97949    -.94182    -.90717    -.87514    -.84539    -.81763
    -.79164    -.76720    -.74416    -.72238    -.70174    -.68212    -.66343
    -.64559    -.62853    -.61218    -.59649    -.58141    -.56688    -.55288
    -.53936    -.52629    -.51363    -.50137    -.48947    -.47792    -.46668
    -.45575    -.44510    -.43472    -.42458    -.41469    -.40502    -.39556
    -.38630    -.37723    -.36834    -.35962    -.35106    -.34265    -.33439
    -.32627    -.31827    -.31040    -.30264    -.29500    -.28746    -.28003
    -.27268    -.26543    -.25826    -.25117    -.24415    -.23721    -.23033
    -.22351    -.21675    -.21004    -.20339    -.19677    -.19020    -.18366
    -.17716    -.17068    -.16422    -.15778    -.15136    -.14493    -.13851
    -.13208    -.12563    -.11916    -.11266    -.10611    -.09950    -.09281
    -.08603    -.07912    -.07206    -.06480    -.05726    -.04936    -.04090
    -.03151    -.01806    -.00003

   -3.52472   -2.92861   -2.51615   -2.21801   -1.99223   -1.81523   -1.67062
   -1.55043   -1.44929   -1.36272   -1.28760   -1.22163   -1.16314   -1.11083
   -1.06370   -1.02087    -.98170    -.94566    -.91233    -.88137    -.85249
    -.82544    -.80002    -.77607    -.75342    -.73195    -.71156    -.69213
    -.67359    -.65587    -.63888    -.62258    -.60691    -.59182    -.57728
    -.56323    -.54965    -.53651    -.52377    -.51141    -.49941    -.48773
    -.47638    -.46531    -.45452    -.44399    -.43371    -.42366    -.41383
    -.40420    -.39477    -.38552    -.37645    -.36755    -.35880    -.35020
    -.34174    -.33342    -.32522    -.31715    -.30918    -.30133    -.29357
    -.28592    -.27835    -.27087    -.26347    -.25614    -.24889    -.24171
    -.23458    -.22751    -.22050    -.21354    -.20662    -.19973    -.19289
    -.18607    -.17928    -.17251    -.16576    -.15901    -.15227    -.14553
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