# ************************************************ 
#     This table  has been made by using ../../Data/BaseM/StdRock 
#     with Bremsstrahlung formula: # 1
#     and  Pair creation  formula: # 1.
#     Mon Apr 26 14:24:25 GMT+0900 1999 by KASAHARA Katsuaki using
#     version epics.uv5.00  
# 
#name format   standard rock.
StdRock  1
#      Z=11, A=22, Z/A = 0.5, Z^2/A = 5.5 rho = 2.8
#
#  Elem	 rho(g/cm^3)	Gas/Solid(1/0)  refl.index Birks c

1         2.8             0               0      0 0 0
# 	Z	A  	N
	11	22	1


 Excitation (Ionization) potential = 143.00 eV
 radation length=  9.47833772318209 cm  26.5393456249098 g/cm^2
 <Aeff>=  22.0000000000000 <Zeff=>  11.0000000000000 <Z2/A>=   5.50000000000000
 plasma energy=  3.409555100595970E-008 GeV no density=  7.664537618181820E+022 /cm^3
 <Z2eff=>  121.000000000000 <Z/A>=  .500000000000000
Migdal s1=  1.476928974662934E-004
 Conversion factors:
 g/cm^2 to cm=  .357142857142857
 mb to /(g/cm2)=  2.737334863636363E-005 mb to /cm=  7.664537618181820E-005 mb to /X0=  7.264707603716093E-004
 If a comound is specified as an Atom, use the
 following instead:   2.737334863636363E-005  7.664537618181820E-005  7.264707603716093E-004
 pi x Re**2 * N* Z /A *X0g  = 0.15 Z/A*X0g=  1.99353775097435
 media.A, Z, Z^2=  22.0000000000000  11.0000000000000  121.000000000000

 **** Sternheimers consts
 a, b, c =  7.680000364780430E-002  17.0339461666303 -3.86846630259671
 x0, x1 =  .200000002980232  3.00000000000000
 sa, xa =  .134259580400959  .839875455373621
 minimum dEdx_restricted=  1.422006060646450E-003 GeV/(g/cm^2)  with Tcut=  1.000000000000000E-004 GeV

 **** photoelectric consts
b0, b1, b2=  .751520261105498  1.70517532055935  1.69586908461414
fa, a, p=  1.08246814226367  5.093664999723131E-004  3.309024293391350E-004
l, ek=  7.65625000000000  1.645600000000000E-006

#-#-#-#-#-#-#-#-#-#-#-#-
 constant for Seltzer Brems sampling table 
  7.110000000000000E-004  1.000000000000000E-005 -3.14813039927023  .100000000000000  .100000000000000  1.00000000000000  21  4.736842105263160E-002  .107406519963512  .107406519963512  .000000000000000  .562341325190349  2.811706625951750E-002  21  20  21

StdRock 
Seltzer Brems total X-sec. table upto E=  .100000000000000 GeV
  7.110000E-04  3.85881
  9.104920E-04  3.64447
  1.165957E-03  3.83795
  1.493101E-03  4.19793
  1.912034E-03  4.64722
  2.448512E-03  5.15273
  3.135514E-03  5.68393
  4.015274E-03  6.21633
  5.141878E-03  6.75931
  6.584583E-03  7.28599
  8.432082E-03  7.79713
  1.079795E-02  8.27980
  1.382763E-02  8.75538
  1.770738E-02  9.20305
  2.267571E-02  9.63646
  2.903805E-02  10.0581
  3.718552E-02  10.4705
  4.761902E-02  10.8709
  6.097994E-02  11.2564
  7.808965E-02  11.6371
  .100000  11.4568

Selzter Brems sampling table; log(v/vmin)/(1-u)
    2.57656    2.48125    2.40651    2.34552    2.29431    2.25044    2.21242
    2.17888    2.14925    2.12277    2.09875    2.07710    2.05756    2.03966
    2.02334    2.00843    1.99473    1.98199    1.97030    1.95958

    3.07433    2.95768    2.86875    2.79769    2.73918    2.69001    2.64771
    2.61093    2.57891    2.55037    2.52485    2.50194    2.48131    2.46271
    2.44585    2.43057    2.41665    2.40394    2.39230    2.38156

    3.44779    3.31932    3.22271    3.14657    3.08517    3.03397    2.99102
    2.95367    2.92086    2.89201    2.86656    2.84398    2.82393    2.80599
    2.78993    2.77547    2.76247    2.75071    2.74008    2.73027

    3.78386    3.64896    3.54868    3.47074    3.40782    3.35621    3.31175
    3.27319    3.23976    3.21066    3.18525    3.16299    3.14335    3.12595
    3.11053    3.09679    3.08450    3.07352    3.06364    3.05474

    4.10215    3.96333    3.86083    3.78149    3.71819    3.66584    3.62132
    3.58313    3.55013    3.52150    3.49655    3.47473    3.45560    3.43870
    3.42379    3.41063    3.39892    3.38848    3.37915    3.37074

    4.41183    4.27098    4.16722    4.08711    4.02314    3.96985    3.92471
    3.88624    3.85326    3.82492    3.80047    3.77926    3.76083    3.74478
    3.73074    3.71840    3.70748    3.69793    3.68948    3.68198

    4.71493    4.57515    4.47279    4.39387    4.33047    4.27735    4.23254
    4.19452    4.16226    4.13474    4.11120    4.09100    4.07362    4.05858
    4.04561    4.03427    4.02438    4.01579    4.00842    4.00172

    5.01623    4.87950    4.78003    4.70319    4.64076    4.58824    4.54400
    4.50669    4.47524    4.44865    4.42614    4.40698    4.39069    4.37673
    4.36476    4.35448    4.34565    4.33802    4.33133    4.32556

    5.31316    5.17690    5.07734    4.99981    4.93585    4.88197    4.83674
    4.79891    4.76728    4.74081    4.71862    4.69994    4.68421    4.67093
    4.65961    4.65001    4.64176    4.63470    4.62864    4.62354

    5.60698    5.47197    5.37295    5.29527    5.23021    5.17515    5.12911
    5.09083    5.05913    5.03288    5.01104    4.99289    4.97776    4.96508
    4.95441    4.94543    4.93788    4.93135    4.92601    4.92131

    5.89827    5.76465    5.66623    5.58836    5.52208    5.46580    5.41888
    5.38017    5.34838    5.32231    5.30090    5.28326    5.26870    5.25664
    5.24664    5.23831    5.23125    5.22546    5.22060    5.21631

    6.18811    6.05627    5.95944    5.88220    5.81614    5.75944    5.71160
    5.67184    5.63907    5.61221    5.59021    5.57220    5.55740    5.54528
    5.53527    5.52699    5.52009    5.51435    5.50966    5.50564

    6.47461    6.34406    6.24782    6.17003    6.10269    6.04476    5.99612
    5.95607    5.92344    5.89697    5.87558    5.85824    5.84421    5.83277
    5.82342    5.81582    5.80954    5.80446    5.80008    5.79666

    6.75702    6.62724    6.53114    6.45239    6.38365    6.32470    6.27567
    6.23575    6.20363    6.17788    6.15732    6.14090    6.12772    6.11711
    6.10854    6.10163    6.09602    6.09142    6.08764    6.08467

    7.03638    6.90698    6.81068    6.73066    6.66042    6.60050    6.55123
    6.51161    6.48016    6.45526    6.43564    6.42007    6.40781    6.39800
    6.39025    6.38402    6.37897    6.37496    6.37166    6.36902

    7.31228    7.18282    7.08598    7.00439    6.93252    6.87172    6.82232
    6.78316    6.75243    6.72847    6.70976    6.69515    6.68372    6.67475
    6.66763    6.66209    6.65755    6.65410    6.65138    6.64889

    7.58397    7.45407    7.35645    7.27321    7.19988    7.13850    7.08934
    7.05090    7.02115    6.99822    6.98057    6.96691    6.95638    6.94819
    6.94178    6.93681    6.93282    6.92975    6.92734    6.92530

    7.85227    7.72184    7.62344    7.53869    7.46436    7.40294    7.35446
    7.31708    7.28856    7.26684    7.25030    7.23769    7.22804    7.22064
    7.21490    7.21054    7.20705    7.20436    7.20236    7.20057

    8.11890    7.98808    7.88912    7.80322    7.72847    7.66763    7.62032
    7.58435    7.55724    7.53687    7.52155    7.51003    7.50128    7.49463
    7.48960    7.48575    7.48281    7.48048    7.47861    7.47724

    8.38309    8.25199    8.15266    8.06603    7.99147    7.93173    7.88597
    7.85167    7.82615    7.80722    7.79316    7.78268    7.77484    7.76898
    7.76458    7.76116    7.75861    7.75664    7.75506    7.75397

    8.72484    8.62967    8.56896    8.52884    8.50170    8.48303    8.47001
    8.46086    8.45438    8.44978    8.44647    8.44410    8.44236    8.44112
    8.44019    8.43955    8.43900    8.43865    8.43832    7.66355


Seltzer Brems sampling tbl in B; log(v/vmin)
   13.28479   13.31812   13.28486   13.27403   13.25232   13.20407   13.12220
   12.98381   12.77251   12.45941   12.04788   11.55001   10.99375   10.41199
    9.82876    9.25845    8.70693    8.17884    7.67773    7.20690    6.76832

   29.57900   29.66096   29.55993   29.45728   29.20367   28.69893   27.86480
   26.63925   25.10217   23.35874   21.54785   19.78051   18.11840   16.58706
   15.18718   13.91348   12.76039   11.72214   10.79036    9.95522    9.20706

   50.55866   50.61902   50.42985   49.97890   48.81487   46.68831   43.64200
   39.97453   36.13543   32.43958   29.05312   26.03065   23.35744   20.98949
   18.89952   17.06423   15.45935   14.05496   12.82425   11.74261   10.78975

   72.23056   72.21486   71.88200   70.54953   67.40633   62.32683   56.08290
   49.66034   43.70123   38.44708   33.88511   29.95181   26.56132   23.64402
   21.13432   18.97637   17.11555   15.50524   14.10651   12.88589   11.81625

   93.00548   92.89039   92.23869   89.37309   83.10794   74.19324   64.62175
   55.80884   48.26339   41.92161   36.58729   32.09616   28.31133   25.11286
   22.39848   20.08665   18.10645   16.39948   14.91988   13.63161   12.50444

  110.81573  110.72321  109.40825  104.42774   94.47271   81.80280   69.44465
   58.89474   50.32217   43.35415   37.63889   32.92980   29.01730   25.74381
   22.98436   20.64173   18.63800   16.91029   15.41164   14.10466   12.95922

  128.04913  127.78556  125.58164  117.78461  103.04338   86.55619   71.99085
   60.22700   50.96624   43.61947   37.74593   32.99446   29.10298   25.87391
   23.16323   20.86551   18.89803   17.19620   15.71244   14.41186   13.26625

  143.73246  142.93460  139.64998  128.22731  108.23447   88.52726   72.47139
   60.03756   50.43311   42.96924   37.12424   32.47788   28.71586   25.61473
   23.01934   20.81871   18.92934   17.28728   15.84577   14.57302   13.44539

  159.59214  158.07105  153.03930  136.29233  111.49078   89.20457   71.97280
   59.04128   49.31109   41.92434   36.23539   31.76914   28.17817   25.22764
   22.75786   20.65780   18.84882   17.27075   15.88168   14.65227   13.56073

  175.06466  173.00667  165.07151  141.79426  112.53176   88.37934   70.51278
   57.41744   47.78740   40.60301   35.13233   30.87864   27.48278   24.70150
   22.37437   20.39203   18.67928   17.17957   15.85429   14.67707   13.62831

  190.12682  187.74292  175.37712  144.80860  111.80156   86.45986   68.32895
   55.37958   46.00691   39.10051   33.89628   29.87842   26.68861   24.08687
   21.91165   20.05623   18.44782   17.03487   15.78110   14.66279   13.66259

  204.39493  201.51873  183.35979  145.38857  109.57751   83.67191   65.64723
   53.01944   44.02421   37.46706   32.56328   28.79531   25.82255   23.40543
   21.38672   19.66351   18.16640   16.84585   15.66958   14.61488   13.66740

  218.42789  215.28773  189.31763  144.15995  106.32612   80.27548   62.65179
   50.53105   41.99049   35.80909   31.21633   27.70575   24.94892   22.71428
   20.85129   19.26076   17.87599   16.65009   15.55267   14.56349   13.67047

  231.45459  228.09781  192.63061  141.13935  102.20713   76.43849   59.46269
   47.95879   39.92590   34.15874   29.88951   26.63850   24.09577   22.04228
   20.33324   18.87354   17.59979   16.46791   15.44908   14.52513   13.68552

  243.98491  240.33087  193.74076  136.91746   97.62527   72.46295   56.24519
   45.40253   37.90144   32.54501   28.59430   25.59974   23.26631   21.38908
   19.83099   18.49913   17.33497   16.29616   15.35531   14.49596   13.70933

  256.06385  251.41551  192.83993  131.81524   92.79045   68.48404   53.08388
   42.91846   35.95625   30.99627   27.35959   24.61280   22.48085   20.77413
   19.36116   18.15398   17.09638   16.14794   15.28265   14.48558   13.74980

  267.72351  261.35220  190.22749  126.10355   87.73417   64.48464   49.98972
   40.54366   34.10594   29.53771   26.19430   23.67853   21.74003   20.19886
   18.93115   17.84913   16.89686   16.03706   15.24435   14.50586   13.81684

  278.91284  269.56921  186.04765  120.02933   82.56432   60.51060   47.00392
   38.27956   32.36969   28.18127   25.11392   22.81806   21.06006   19.67691
   18.54835   17.58701   16.73665   15.96110   15.23638   14.55225   13.90566

  289.59459  276.06687  180.46843  113.66893   77.46063   56.67104   44.14080
   36.12348   30.71531   26.89913   24.11033   22.02762   20.44203   19.20724
   18.20713   17.35693   16.60119   15.90393   15.24319   14.60956   14.00300

  300.06496  280.65479  173.95622  107.11021   72.51314   53.05451   41.48119
   34.11901   29.18056   25.71100   23.18371   21.30204   19.88106   18.78817
   17.91045   17.16709   16.50023   15.87663   15.27470   14.68761   14.11686

  295.92315  251.47840  156.79748   93.58737   62.65575   46.21410   36.56210
   30.41985   26.26878   23.34155   21.20834   19.62049   18.42118   17.49705
   16.76047   16.14272   15.59117   15.06840   14.55326   14.03891   13.52857


 constant for Brems sampling table at low energies
  67.5005778082284  1.000000000000000E-004  1.000000000000000E-002 -2.00000000000000  67.5005778082284  4.053571394511632E-002  .100000000000000  1.00000000000000  38  4.736842105263160E-002  .103494797038617  .103494797038617  .000000000000000  .562341325190349  2.811706625951750E-002  38  20  21

StdRock 
Brems total X-sec. table upto E=  67.5005778082283 GeV
  1.000000E-02  4.72968
  1.269097E-02  5.16253
  1.610607E-02  5.58394
  2.044016E-02  5.99778
  2.594055E-02  6.40700
  3.292107E-02  6.80223
  4.178003E-02  7.19526
  5.302291E-02  7.57780
  6.729122E-02  7.95515
  8.539908E-02  8.32785
  .108380  8.45077
  .137544  8.80140
  .174557  9.14840
  .221530  9.49218
  .281143  9.83312
  .356798  10.1716
  .452811  10.5078
  .574661  10.8421
  .729300  11.1748
  .925553  11.5061
  1.17462  11.8342
  1.49070  12.1691
  1.89184  12.5059
  2.40093  12.8263
  3.04702  13.1201
  3.86696  13.3720
  4.90755  13.5773
  6.22816  13.7244
  7.90413  13.8134
  10.0311  13.8433
  12.7305  13.8193
  16.1562  13.7455
  20.5038  13.6283
  26.0213  13.4742
  33.0235  13.2892
  41.9100  13.0784
  53.1879  12.8462
  67.5006  12.5952

Brems sampling table at low E for Small Eg
    4.00338    3.89358    3.81011    3.74346    3.68820    3.64105    3.59991
    3.56207    3.52649    3.49331    3.46271    3.43471    3.40931    3.38630
    3.36557    3.34688    3.33000    3.31478    3.30109    3.28871

    4.26683    4.15773    4.07474    4.00841    3.95350    3.90731    3.86590
    3.82764    3.79179    3.75837    3.72746    3.69910    3.67330    3.64999
    3.62895    3.60998    3.59303    3.57768    3.56396    3.55166

    4.52776    4.41878    4.33566    4.26905    4.21385    4.16691    4.12406
    4.08393    4.04632    4.01145    3.97951    3.95061    3.92456    3.90128
    3.88054    3.86211    3.84565    3.83113    3.81822    3.80659

    4.78754    4.67854    4.59515    4.52804    4.47253    4.42428    4.37956
    4.33744    4.29813    4.26204    4.22938    4.20016    4.17423    4.15135
    4.13116    4.11339    4.09779    4.08398    4.07202    4.06123

    5.04692    4.93785    4.85408    4.78640    4.73042    4.68050    4.63365
    4.58949    4.54861    4.51156    4.47848    4.44926    4.42368    4.40137
    4.38193    4.36498    4.35030    4.33745    4.32618    4.31646

    5.30250    5.19256    5.10786    5.03927    4.98216    4.93013    4.88098
    4.83490    4.79276    4.75510    4.72199    4.69319    4.66828    4.64683
    4.62836    4.61245    4.59869    4.58681    4.57676    4.56777

    5.55560    5.44446    5.35868    5.28915    5.23063    5.17653    5.12524
    5.07766    5.03479    4.99711    4.96446    4.93647    4.91252    4.89216
    4.87480    4.86005    4.84739    4.83671    4.82753    4.81948

    5.80803    5.69581    5.60902    5.53859    5.47867    5.42248    5.36942
    5.32090    5.27789    5.24068    5.20891    5.18203    5.15937    5.14026
    5.12416    5.11062    5.09918    5.08945    5.08127    5.07425

    6.05853    5.94509    5.85731    5.78627    5.72469    5.66666    5.61243
    5.56360    5.52114    5.48493    5.45449    5.42902    5.40786    5.39016
    5.37549    5.36325    5.35295    5.34429    5.33714    5.33100

    6.30660    6.19194    6.10328    6.03173    5.96859    5.90916    5.85436
    5.80594    5.76447    5.72974    5.70092    5.67711    5.65756    5.64145
    5.62812    5.61715    5.60807    5.60047    5.59426    5.58895

    6.59671    6.50093    6.43330    6.38438    6.34824    6.32110    6.30044
    6.28459    6.27232    6.26276    6.25525    6.24936    6.24463    6.24094
    6.23795    6.23556    6.23362    6.23208    6.23069    6.22980

    6.84291    6.74722    6.68028    6.63230    6.59719    6.57109    6.55142
    6.53645    6.52498    6.51613    6.50926    6.50393    6.49969    6.49644
    6.49376    6.49172    6.49009    6.48878    6.48749    6.48678

    7.08745    6.99181    6.92553    6.87849    6.84438    6.81926    6.80051
    6.78640    6.77570    6.76750    6.76123    6.75634    6.75258    6.74965
    6.74733    6.74551    6.74414    6.74301    6.74219    6.74133

    7.33043    7.23483    7.16922    7.12309    7.08996    7.06579    7.04794
    7.03463    7.02463    7.01706    7.01130    7.00690    7.00351    7.00093
    6.99885    6.99734    6.99610    6.99511    6.99427    6.99372

    7.57198    7.47641    7.41147    7.36626    7.33410    7.31085    7.29385
    7.28129    7.27196    7.26498    7.25970    7.25573    7.25269    7.25036
    7.24858    7.24726    7.24614    7.24527    7.24457    7.24416

    7.81223    7.71672    7.65247    7.60816    7.57694    7.55461    7.53842
    7.52659    7.51789    7.51144    7.50663    7.50303    7.50031    7.49826
    7.49670    7.49548    7.49459    7.49389    7.49321    7.49288

    8.05132    7.95590    7.89234    7.84895    7.81867    7.79722    7.78184
    7.77070    7.76260    7.75663    7.75223    7.74900    7.74654    7.74475
    7.74340    7.74229    7.74156    7.74092    7.74036    7.74010

    8.28937    8.19406    8.13126    8.08878    8.05944    8.03884    8.02423
    8.01376    8.00621    8.00072    7.99671    7.99377    7.99159    7.98998
    7.98876    7.98788    7.98725    7.98672    7.98622    7.98598

    8.52650    8.43138    8.36933    8.32779    8.29938    8.27963    8.26575
    8.25592    8.24889    8.24383    8.24018    8.23754    8.23559    8.23416
    8.23313    8.23233    8.23173    8.23126    8.23099    8.23072

    8.76284    8.66795    8.60672    8.56611    8.53862    8.51970    8.50655
    8.49731    8.49077    8.48611    8.48280    8.48042    8.47869    8.47741
    8.47649    8.47582    8.47532    8.47503    8.47474    8.47447

    8.99871    8.90420    8.84392    8.80437    8.77790    8.75993    8.74762
    8.73914    8.73331    8.72932    8.72662    8.72489    8.72388    8.72351
    8.72368    8.72464    8.72673    8.73134    8.74635    8.66885

    9.23319    9.13880    9.07910    9.04021    9.01427    8.99668    8.98454
    8.97603    8.96996    8.96549    8.96205    8.95928    8.95684    8.95439
    8.95170    8.94813    8.94266    8.92589    8.86755    8.85595

    9.46692    9.37260    9.31339    9.27499    9.24943    9.23196    9.21975
    9.21090    9.20422    9.19888    9.19422    9.18976    9.18507    9.17956
    9.17244    9.16223    9.14269    9.11438    9.13278    9.18696

    9.70189    9.60838    9.55046    9.51341    9.48915    9.47293    9.46191
    9.45425    9.44878    9.44469    9.44147    9.43871    9.43608    9.43324
    9.42984    9.42347    9.41090    9.46141    9.55281    9.70867

    9.93923    9.84772    9.79231    9.75803    9.73668    9.72355    9.71586
    9.71190    9.71061    9.71144    9.71410    9.71858    9.72521    9.73463
    9.74727    9.76860    9.83692    9.97070   10.17584   10.47759

   10.18054   10.09287   10.04198   10.01267    9.99678    9.98970    9.98878
    9.99257   10.00031   10.01183   10.02747   10.04810   10.07539   10.11240
   10.15908   10.26110   10.43653   10.67767   11.03964   11.54851

   10.42632   10.34451   10.30035   10.27853   10.27095   10.27322   10.28294
   10.29899   10.32111   10.34982   10.38639   10.43313   10.49395   10.57142
   10.69864   10.90515   11.19569   11.60995   12.18505   12.98894

   10.67776   10.60432   10.56965   10.55844   10.56278   10.57855   10.60376
   10.63776   10.68104   10.73504   10.80248   10.88780   10.99626   11.14784
   11.37798   11.70880   12.15827   12.78092   13.64200   14.86778

   10.93482   10.87229   10.84984   10.85237   10.87221   10.90564   10.95113
   11.00877   11.07991   11.16735   11.27560   11.41189   11.58546   11.83660
   12.18643   12.66663   13.31705   14.20436   15.44656   17.27639

   11.19768   11.14857   11.14118   11.16063   11.19966   11.25496   11.32567
   11.41273   11.51865   11.64777   11.80700   12.00406   12.26790   12.63173
   13.12297   13.78114   14.66745   15.88542   17.62904   20.32118

   11.46584   11.43246   11.44268   11.48195   11.54348   11.62454   11.72499
   11.84676   11.99371   12.17207   12.39147   12.66487   13.03264   13.52359
   14.17393   15.03801   16.20389   17.82756   20.22121   24.13890

   11.73889   11.72340   11.75359   11.81539   11.90251   12.01289   12.14724
   12.30861   12.50236   12.73699   13.02416   13.38751   13.86895   14.49976
   15.32720   16.42456   17.91518   20.02739   23.24833   28.89365

   12.01626   12.02051   12.07272   12.15939   12.27479   12.41760   12.58945
   12.79465   13.04029   13.33720   13.69704   14.16287   14.76702   15.54926
   16.57066   17.92797   19.78890   22.47755   26.73132   34.79050

   12.29730   12.32291   12.39889   12.51240   12.65837   12.83624   13.04868
   13.30133   13.60312   13.96751   14.41200   14.98314   15.71737   16.66140
   17.89236   19.53481   21.81080   25.16685   30.68351   42.08117

   12.58147   12.62977   12.73101   12.87304   13.05147   13.26663   13.52221
   13.82535   14.18691   14.62047   15.15918   15.84107   16.71141   17.82629
   19.28079   21.23159   23.96540   28.07952   35.10893   51.07377

   12.86830   12.94044   13.06815   13.24007   13.45258   13.70684   14.00773
   14.36385   14.78817   15.29851   15.93288   16.72990   17.74132   19.03483
   20.72524   23.00543   26.23653   31.19636   40.00088   62.14439

   13.15738   13.25429   13.40952   13.61250   13.86037   14.15526   14.50323
   14.91442   15.40379   15.99382   16.72536   17.64364   18.80019   20.27899
   22.21587   24.84393   28.60819   34.49669   45.34312   75.75093

   13.44847   13.57102   13.75465   13.98967   14.27408   14.61093   15.00752
   15.47561   16.03051   16.70468   17.53807   18.57610   19.88129   21.55085
   23.74324   26.73499   31.06385   37.95661   51.10788   92.44289


Brems sampling tbl at low E for large Eg
  116.02729  115.03189  109.13506   92.96652   73.93362   58.04573   46.32519
   37.71194   31.35328   26.61024   23.01303   20.23041   18.03729   16.27388
   14.82448   13.60679   12.56383   11.65576   10.85472   10.14032    9.49669

  128.11987  126.84277  117.74721   96.30114   74.46398   57.58546   45.54115
   36.88870   30.61590   25.99367   22.51331   19.83981   17.74318   16.06397
   14.68817   13.53380   12.54495   11.68331   10.92129   10.23907    9.62214

  139.80662  138.63390  124.84946   97.96599   73.93139   56.39770   44.29930
   35.78926   29.70433   25.25979   21.93782   19.39605   17.41010   15.82526
   14.52845   13.44283   12.51301   11.70082   10.98067   10.33338    9.74553

  151.28116  150.02638  130.46287   98.29144   72.62113   54.79920   42.81228
   34.53059   28.68876   24.45744   21.30706   18.91046   17.04180   15.55565
   14.34354   13.32933   12.46128   11.70174   11.02642   10.41652    9.85976

  162.65689  161.21023  134.55152   97.49766   70.72303   52.91039   41.14052
   33.17786   27.60859   23.60073   20.63598   18.38692   16.64027   15.25606
   14.13112   13.19183   12.38805   11.68369   11.05586   10.48610    9.96274

  173.48837  171.61629  136.85469   95.68087   68.33631   50.81386   39.40167
   31.78551   26.52088   22.75637   19.98146   17.88370   16.26174   14.97935
   13.94153   13.07809   12.33935   11.69101   11.11010   10.57962   10.08812

  184.24920  181.24500  137.84993   93.20080   65.60251   48.49101   37.56913
   30.38131   25.44865   21.93164   19.34366   17.38915   15.88353   14.70027
   13.75153   12.96708   12.29792   11.70877   11.17725   10.68664   10.22652

  194.63524  190.09738  137.24199   90.14647   62.64713   46.07334   35.70729
   28.95952   24.37082   21.11377   18.71951   16.91354   15.52538   14.44056
   13.57742   12.86765   12.26384   11.73069   11.24590   10.79341   10.36405

  204.83879  197.98424  135.45016   86.62955   59.57394   43.68311   33.89486
   27.59400   23.33711   20.32646   18.11977   16.45919   15.18789   14.20079
   13.42179   12.78608   12.24694   11.76881   11.32938   10.91373   10.51309

  214.85865  204.52574  132.66771   82.79901   56.44496   41.34656   32.16403
   26.31277   22.37029   19.59553   17.56907   16.05172   14.89418   14.00149
   13.30342   12.73827   12.26084   11.83455   11.43740   11.05509   10.67978

  200.55675  188.37771  122.96050   74.54554   49.96934   36.73432   28.91693
   23.93465   20.56011   18.16663   16.41702   15.10712   14.11017   13.34300
   12.74212   12.25735   11.84890   11.48485   11.14117   10.80327   10.46456

  209.84650  193.37100  118.85837   70.59614   47.22235   34.82687   27.58148
   22.94806   19.82571   17.61428   16.00293   14.80617   13.90464   13.21892
   12.68867   12.26462   11.90740   11.58557   11.27540   10.96265   10.64190

  218.91968  197.21400  114.08216   66.66431   44.59330   33.04556   26.32538
   22.04508   19.15215   17.11108   15.63340   14.54583   13.73745   13.13067
   12.66788   12.30080   11.99192   11.70904   11.42858   11.13760   10.83203

  227.80446  199.52616  108.84795   62.82177   42.10374   31.39941   25.15310
   21.20766   18.53496   16.65807   15.31169   14.33008   13.61024   13.07857
   12.67936   12.36670   12.10232   11.85420   11.59993   11.32773   11.03462

  236.52665  200.49880  103.34771   59.12114   39.76609   29.85438   24.08629
   20.43725   17.97505   16.25588   15.03573   14.15756   13.52208   13.06291
   12.72336   12.46098   12.23678   12.02032   11.78887   11.53194   11.24846

  245.10938  199.94187   97.72552   55.59364   37.58518   28.41254   23.10702
   19.73452   17.47284   15.90858   14.80823   14.02842   13.47434   13.08109
   12.79869   12.58226   12.39508   12.20594   11.99402   11.74936   11.47321

  253.57308  197.66519   92.11329   52.26558   35.56197   27.11363   22.19655
   19.09965   17.02847   15.61249   14.62930   13.94276   13.46467   13.13417
   12.90342   12.72909   12.57491   12.40993   12.21421   11.97906   11.70739

  261.93559  194.05069   86.60701   49.14432   33.69365   25.87803   21.37344
   18.53240   16.64785   15.37133   14.49638   13.89714   13.49066   13.21860
   13.03564   12.89954   12.77480   12.63083   12.44803   12.21969   11.95045

  270.21244  189.09884   81.27864   46.23949   31.97510   24.78218   20.63663
   18.03222   16.32463   15.18113   14.40941   13.89153   13.55232   13.33353
   13.19405   13.09263   12.99359   12.86674   12.69425   12.47027   12.20124

  278.41708  183.00078   76.17619   43.54415   30.39894   23.78382   19.96575
   17.58812   16.05844   15.04168   14.36576   13.92415   13.64471   13.47629
   13.37601   13.30587   13.22895   13.11685   12.95142   12.72940   12.45862

  286.51419  175.94760   71.33565   41.05369   28.95327   22.87809   19.37743
   17.21937   15.84242   14.94493   14.36266   13.98968   13.76657   13.64235
   13.57816   13.53513   13.47772   13.37734   13.21676   12.99419   12.72003

  294.74961  168.32107   66.81680   38.77758   27.64783   22.06900   18.85466
   16.91677   15.68934   14.90265   14.40284   14.09519   13.92291   13.83993
   13.80873   13.78986   13.74931   13.65696   13.49864   13.27339   12.99375

  303.01076  160.12146   62.58397   36.69701   26.46249   21.34830   18.43137
   16.67811   15.59188   14.90648   14.48334   14.23523   14.10867   14.06263
   14.06020   14.06332   14.03559   13.94969   13.79060   13.56070   13.27408

  310.85770  151.53971   58.61337   34.76487   25.36442   20.66333   18.04425
   16.47950   15.52392   14.93254   14.57845   14.38182   14.29789   14.28615
   14.31036   14.33223   14.31602   14.23361   14.07271   13.83706   13.54282

  318.04682  142.76673   54.85734   32.95290   24.33498   20.04568   17.68957
   16.30866   15.47224   14.96496   14.67525   14.52614   14.48063   14.49865
   14.54554   14.58402   14.57660   14.49702   14.33339   14.09196   13.79022

  324.20850  133.80264   51.29207   31.23518   23.35552   19.48771   17.36367
   16.14307   15.41757   14.98792   14.75328   14.64900   14.63583   14.68025
   14.74811   14.79989   14.80062   14.72263   14.55687   14.31012   14.00186

  329.22903  124.64755   47.92952   29.60229   22.42008   18.90855   17.04649
   15.98217   15.35355   14.99363   14.80742   14.73992   14.75733   14.82457
   14.90913   14.97349   14.98099   14.90514   14.73719   14.48643   14.17333

  332.82963  115.68302   44.72198   28.03304   21.51599   18.38144   16.73545
   15.79377   15.26130   14.96270   14.82240   14.78845   14.83025   14.91710
   15.01633   15.09062   15.10450   15.03106   14.86298   14.61006   14.29363

  335.01718  106.90911   41.69331   26.52978   20.64473   17.86777   16.39297
   15.58839   15.14093   14.89518   14.79324   14.78944   14.85215   14.95511
   15.06767   15.15129   15.17070   15.10062   14.93384   14.68041   14.36317

  335.76371   98.51661   38.83161   25.09251   19.80406   17.32744   16.05659
   15.36575   14.98623   14.79101   14.72239   14.74106   14.82174   14.93858
   15.06028   15.15166   15.17745   15.11181   14.94782   14.69658   14.38064

  335.19855   90.50554   36.13686   23.72360   18.99624   16.83977   15.72665
   15.12605   14.80337   14.65023   14.60988   14.64856   14.74274   14.86925
   14.99967   15.09863   15.13005   15.06980   14.91047   14.66325   14.35041

  333.42038   82.87593   33.60907   22.42776   18.22275   16.32696   15.36564
   14.85931   14.59256   14.47678   14.45831   14.51199   14.61765   14.75267
   14.88925   14.99425   15.03183   14.97789   14.82497   14.58370   14.27593

  330.58837   75.81853   31.26015   21.20734   17.48508   15.82884   15.01172
   14.57587   14.35987   14.27067   14.27273   14.33827   14.45265   14.59332
   14.73589   14.84591   14.88981   14.84266   14.69742   14.46355   14.16297

  326.85946   69.33336   29.06627   20.06469   16.78397   15.34571   14.64609
   14.27585   14.09932   14.03957   14.05819   14.13437   14.25392   14.39940
   14.54500   14.65940   14.70933   14.67040   14.53369   14.30896   14.01656

  322.37761   63.22967   27.03933   18.99981   16.12018   14.87788   14.26890
   13.96960   13.82909   13.79105   13.81966   13.90369   14.02760   14.17540
   14.32346   14.44157   14.49746   14.46633   14.33938   14.12470   13.84216

  317.26867   57.69820   25.16741   18.01034   15.49219   14.42472   13.89880
   13.65694   13.54303   13.52127   13.56219   13.65144   13.77741   13.92679
   14.07604   14.19717   14.25875   14.23614   14.11932   13.91560   13.64375

  311.63868   52.54822   23.43859   17.08921   14.89779   13.98534   13.53537
   13.33763   13.25310   13.24151   13.28816   13.38099   13.50948   13.65714
   13.80682   13.93042   13.99734   13.98310   13.87756   13.68542   13.42518

  305.55251   47.97047   21.84093   16.23406   14.33397   13.55849   13.17800
   13.01136   12.94703   12.94792   13.00260   13.09579   13.22253   13.37012
   13.51927   13.64451   13.71616   13.71058   13.61595   13.43638   13.18847


 constant for Brems sampling table at high energies
  6.750057780822840E-004  67.5005778082284  1.82930749042882  50  5.000000000000000E-002  .100000000000000  5361761.48132791  5.000000000000000E-002  .200000000000000  1.00000000000000  17  .000000000000000  .668740304976422  16  15  4.458268699842813E-002  50  7.500000000000000E-002  319379.833705906  4.00000000000000

StdRock 
Brems total X-sec. table with C.S+LPM upto E=  5361761.48132792 GeV
  67.5006  12.1817
  84.9782  11.8757
  106.981  11.6752
  134.681  11.4543
  169.554  11.2163
  213.456  10.9646
  268.725  10.7020
  338.304  10.4309
  425.900  10.1529
  536.176  9.86950
  675.006  9.58021
  849.782  9.28837
  1069.81  8.99265
  1346.81  8.69533
  1695.54  8.39875
  2134.56  8.09867
  2687.25  7.79769
  3383.04  7.49886
  4259.00  7.19859
  5361.76  6.89896
  6750.06  6.60055
  8497.82  6.30582
  10698.1  6.01171
  13468.1  5.72039
  16955.4  5.43374
  21345.6  5.15007
  26872.5  4.87184
  33830.4  4.59838
  42590.0  4.33141
  53617.6  4.07074
  67500.6  3.81772
  84978.2  3.57222
  106981.  3.33551
  134681.  3.10754
  169554.  2.88868
  213456.  2.67968
  268725.  2.48047
  338304.  2.29124
  425900.  2.11207
  536176.  1.94322
  675006.  1.78444
  849782.  1.63558
  1.069812E+06  1.49648
  1.346814E+06  1.36688
  1.695538E+06  1.24650
  2.134556E+06  1.13494
  2.687247E+06  1.03199
  3.383043E+06  .937116
  4.258998E+06  .849897
  5.361762E+06  .769891

Brems with LPM sampling tbl for small Eg
     .37500     .31157     .26166     .22166     .18926     .16288     .14128
     .12409     .11026     .09906     .08985     .08218     .07569     .07010
     .06520     .06074     .05626

     .38220     .31851     .26834     .22808     .19541     .16877     .14700
     .12963     .11561     .10419     .09477     .08687     .08016     .07436
     .06924     .06454     .05970

     .38848     .32485     .27464     .23427     .20146     .17462     .15280
     .13531     .12115     .10954     .09990     .09179     .08486     .07885
     .07351     .06856     .06331

     .39502     .33147     .28124     .24078     .20784     .18085     .15899
     .14138     .12704     .11522     .10537     .09703     .08989     .08364
     .07807     .07285     .06716

     .40188     .33843     .28819     .24765     .21459     .18740     .16553
     .14779     .13327     .12125     .11117     .10260     .09522     .08874
     .08292     .07742     .07124

     .40903     .34570     .29547     .25488     .22171     .19451     .17242
     .15455     .13985     .12762     .11731     .10851     .10088     .09416
     .08808     .08229     .07557

     .41633     .35314     .30295     .26232     .22902     .20174     .17979
     .16177     .14687     .13441     .12386     .11480     .10693     .09994
     .09359     .08749     .08017

     .42397     .36096     .31082     .27017     .23676     .20942     .18745
     .16930     .15421     .14153     .13073     .12143     .11329     .10605
     .09942     .09300     .08502

     .43187     .36906     .31901     .27837     .24488     .21776     .19550
     .17721     .16193     .14902     .13799     .12843     .12003     .11252
     .10560     .09884     .09014

     .43990     .37732     .32738     .28677     .25327     .22618     .20405
     .18561     .17013     .15698     .14569     .13586     .12719     .11940
     .11218     .10507     .09558

     .44827     .38594     .33615     .29552     .26216     .23509     .21291
     .19435     .17867     .16529     .15375     .14366     .13471     .12663
     .11912     .11164     .10129

     .45687     .39484     .34522     .30456     .27148     .24462     .22219
     .20349     .18762     .17402     .16222     .15187     .14264     .13427
     .12644     .11859     .10731

     .46571     .40401     .35459     .31412     .28122     .25439     .23190
     .21307     .19701     .18318     .17113     .16050     .15100     .14233
     .13418     .12594     .11364

     .47478     .41345     .36426     .32397     .29139     .26446     .24205
     .22308     .20683     .19277     .18047     .16957     .15979     .15082
     .14234     .13370     .12031

     .48415     .42323     .37420     .33433     .30193     .27517     .25269
     .23349     .21706     .20278     .19023     .17907     .16900     .15973
     .15092     .14187     .12730

     .49374     .43325     .38450     .34512     .31293     .28620     .26360
     .24437     .22776     .21326     .20047     .18903     .17868     .16911
     .15996     .15048     .13464

     .50361     .44362     .39510     .35618     .32424     .29758     .27501
     .25566     .23888     .22417     .21114     .19944     .18880     .17892
     .16943     .15952     .14232

     .51365     .45399     .40644     .36791     .33618     .30958     .28697
     .26750     .25055     .23562     .22234     .21038     .19945     .18926
     .17942     .16907     .15040

     .52406     .46509     .41795     .37987     .34838     .32187     .29925
     .27968     .26258     .24745     .23394     .22173     .21052     .20002
     .18983     .17903     .15880

     .53480     .47633     .42975     .39214     .36090     .33451     .31189
     .29225     .27500     .25970     .24597     .23351     .22203     .21123
     .20069     .18944     .16755

     .54565     .48813     .44239     .40516     .37413     .34782     .32518
     .30544     .28805     .27256     .25861     .24589     .23413     .22303
     .21213     .20041     .17674

     .55688     .50018     .45500     .41824     .38748     .36129     .33867
     .31888     .30138     .28572     .27157     .25862     .24660     .23520
     .22396     .21177     .18623

     .56825     .51281     .46839     .43206     .40152     .37543     .35281
     .33295     .31532     .29949     .28514     .27195     .25967     .24797
     .23637     .22371     .19617

     .58009     .52565     .48221     .44594     .41568     .38972     .36714
     .34725     .32953     .31356     .29903     .28563     .27310     .26111
     .24917     .23604     .20640

     .59249     .53906     .49595     .46051     .43048     .40464     .38208
     .36215     .34432     .32822     .31350     .29989     .28711     .27484
     .26255     .24893     .21708

     .60510     .55265     .51051     .47515     .44539     .41971     .39722
     .37727     .35937     .34315     .32828     .31448     .30148     .28893
     .27631     .26222     .22873

     .61787     .56677     .52497     .49040     .46089     .43535     .41290
     .39294     .37497     .35864     .34361     .32962     .31640     .30358
     .29062     .27606     .24135

     .63146     .58103     .54017     .50569     .47650     .45112     .42876
     .40881     .39081     .37438     .35923     .34508     .33164     .31858
     .30530     .29027     .25435

     .64489     .59575     .55527     .52155     .49262     .46740     .44511
     .42517     .40713     .39062     .37535     .36103     .34740     .33409
     .32050     .30500     .26786

     .65899     .61059     .57103     .53743     .50882     .48379     .46161
     .44171     .42365     .40709     .39171     .37727     .36346     .34992
     .33603     .32008     .28174

     .67295     .62580     .58665     .55379     .52546     .50060     .47852
     .45866     .44060     .42398     .40852     .39394     .37997     .36621
     .35203     .33563     .29610

     .68742     .64109     .60285     .57014     .54213     .51750     .49555
     .47575     .45770     .44106     .42553     .41085     .39673     .38277
     .36831     .35148     .31079

     .70176     .65667     .61887     .58691     .55918     .53474     .51291
     .49319     .47516     .45850     .44291     .42813     .41387     .39973
     .38501     .36774     .32591

     .71649     .67227     .63538     .60384     .57620     .55200     .53032
     .51069     .49271     .47605     .46043     .44558     .43121     .41690
     .40193     .38425     .34133

     .73105     .68808     .65166     .62062     .59353     .56955     .54802
     .52848     .51054     .49389     .47825     .46334     .44886     .43440
     .41920     .40112     .35712

     .74590     .70384     .66835     .63776     .61099     .58703     .56568
     .54626     .52839     .51177     .49613     .48118     .46662     .45202
     .43661     .41815     .37315

     .76050     .71974     .68493     .65465     .62823     .60473     .58355
     .56424     .54646     .52988     .51424     .49926     .48463     .46991
     .45429     .43546     .38951

     .77526     .73542     .70138     .67178     .64569     .62243     .60143
     .58225     .56455     .54803     .53241     .51742     .50273     .48791
     .47211     .45293     .40607

     .78977     .75132     .71801     .68890     .66298     .63999     .61920
     .60017     .58258     .56613     .55054     .53556     .52084     .50594
     .48997     .47046     .42279

     .80433     .76702     .73430     .70572     .68037     .65764     .63703
     .61816     .60068     .58430     .56876     .55379     .53905     .52407
     .50796     .48813     .43971

     .81868     .78244     .75069     .72263     .69764     .67517     .65476
     .63604     .61868     .60239     .58691     .57197     .55723     .54219
     .52595     .50582     .45673

     .83273     .79790     .76694     .73941     .71479     .69244     .67227
     .65373     .63650     .62031     .60491     .59001     .57527     .56020
     .54384     .52345     .47378

     .84666     .81306     .78290     .75579     .73158     .70968     .68973
     .67135     .65425     .63817     .62285     .60800     .59329     .57819
     .56173     .54108     .49092

     .86029     .82783     .79853     .77213     .74831     .72671     .70696
     .68876     .67180     .65584     .64060     .62582     .61113     .59603
     .57948     .55860     .50804

     .87360     .84250     .81404     .78821     .76478     .74346     .72394
     .70590     .68910     .67325     .65812     .64341     .62877     .61366
     .59706     .57596     .52510

     .88652     .85684     .82926     .80400     .78098     .75982     .74054
     .72272     .70607     .69036     .67532     .66069     .64611     .63102
     .61437     .59308     .54204

     .89915     .87079     .84407     .81928     .79669     .77600     .75695
     .73931     .72281     .70723     .69231     .67776     .66324     .64818
     .63149     .61003     .55889

     .91137     .88434     .85842     .83438     .81220     .79181     .77299
     .75554     .73920     .72375     .70894     .69450     .68004     .66502
     .64830     .62670     .57557

     .92317     .89742     .87252     .84908     .82733     .80723     .78866
     .77138     .75520     .73989     .72520     .71085     .69648     .68150
     .66478     .64303     .59203

     .93448     .91019     .88620     .86336     .84203     .82225     .80389
     .78681     .77079     .75561     .74105     .72680     .71251     .69759
     .68087     .65902     .60824


Brems with LPM smp tbl; (sqrt(v)-sqrt(vmin)/(1-u)
   11.97139   11.96449   11.97387   11.98818   12.01205   12.08679   12.20671
   12.38608   12.62437   12.88286   13.07705   13.10651   12.92427   12.56576
   12.11070   11.63327

   11.84208   11.84381   11.84556   11.86719   11.88250   11.95827   12.07086
   12.24819   12.48187   12.73766   12.93223   12.96703   12.79363   12.44474
   11.99775   11.52656

   11.69898   11.69294   11.70215   11.69539   11.75210   11.81054   11.92269
   12.09521   12.32546   12.57717   12.77193   12.81271   12.64873   12.31025
   11.87244   11.40814

   11.54387   11.54208   11.54742   11.56919   11.59050   11.65005   11.76225
   11.93057   12.15510   12.40341   12.59798   12.64485   12.49125   12.16414
   11.73631   11.27960

   11.37711   11.39121   11.37947   11.39255   11.41295   11.48306   11.58948
   11.75255   11.97290   12.21637   12.41132   12.46413   12.32134   12.00653
   11.58941   11.14093

   11.20026   11.21016   11.20209   11.21405   11.23483   11.30328   11.40444
   11.56458   11.77985   12.01805   12.21284   12.27185   12.14068   11.83868
   11.43308   10.99355

   11.01851   11.02911   11.02094   11.03482   11.05649   11.11716   11.21640
   11.37168   11.58095   11.81491   12.00909   12.07385   11.95430   11.66559
   11.27181   10.84156

   10.82722   10.81788   10.83035   10.85372   10.86238   10.92461   11.01916
   11.16883   11.37226   11.60118   11.79403   11.86536   11.75749   11.48265
   11.10144   10.68104

   10.62985   10.63683   10.63222   10.62333   10.66788   10.71938   10.81586
   10.96110   11.15677   11.38009   11.57255   11.64943   11.55367   11.29300
   10.92493   10.51486

   10.43048   10.42560   10.43220   10.44038   10.47321   10.52040   10.60950
   10.74844   10.93955   11.15745   11.34846   11.43098   11.34701   11.10065
   10.74580   10.34636

   10.22453   10.21438   10.22652   10.25632   10.26302   10.30881   10.39712
   10.53094   10.71455   10.92753   11.11668   11.20492   11.13271   10.90100
   10.55998   10.17159

   10.01513   10.00315   10.01706   10.02372   10.05268   10.09720   10.17867
   10.31026   10.48785   10.69412   10.88152   10.97422   10.91393   10.69702
   10.37006    9.99317

    9.80296    9.79192    9.80573    9.79076    9.84225    9.87933    9.96032
   10.08638   10.25739   10.45794   10.64256   10.74024   10.69141   10.48927
   10.17669    9.81156

    9.58849    9.58069    9.59062    9.60486    9.61634    9.66142    9.73897
    9.85930   10.02421   10.21897   10.40160   10.50326   10.46560   10.27827
    9.98020    9.62719

    9.37096    9.36946    9.37362    9.37080    9.40560    9.44350    9.51463
    9.63071    9.78829    9.97721   10.15686   10.26241   10.23543   10.06307
    9.77976    9.43921

    9.15259    9.15823    9.15474    9.18417    9.17952    9.21934    9.29040
    9.40062    9.55266    9.73522    9.91093   10.01977   10.00359    9.84584
    9.57748    9.24952

    8.93202    8.94700    8.93398    8.94938    8.95341    8.99521    9.06320
    9.16903    9.31431    9.49046    9.66305    9.77454    9.76856    9.62530
    9.37194    9.05695

    8.71247    8.70559    8.71322    8.71461    8.74251    8.77109    8.83913
    8.93758    9.07721    9.24737    9.41611    9.53029    9.53360    9.40447
    9.16610    8.86418

    8.48986    8.49436    8.49057    8.47947    8.51633    8.54702    8.60906
    8.70467    8.83742    9.00091    9.16594    9.28196    9.29421    9.17936
    8.95616    8.66762

    8.26552    8.25295    8.26604    8.29176    8.29001    8.32294    8.37905
    8.46856    8.59593    8.75298    8.91381    9.03107    9.05219    8.95127
    8.74316    8.46826

    8.04407    8.04172    8.04529    8.05702    8.06401    8.09902    8.15225
    8.23765    8.35865    8.50856    8.66517    8.78323    8.81244    8.72466
    8.53155    8.27028

    7.81901    7.83049    7.82076    7.82155    7.83780    7.86882    7.91944
    8.00193    8.11674    8.26085    8.41250    8.53114    8.56773    8.49317
    8.31510    8.06923

    7.59691    7.58909    7.59813    7.58646    7.61173    7.64496    7.69281
    7.76967    7.87901    8.01663    8.16331    8.28209    8.32553    8.26332
    8.09996    7.86934

    7.37204    7.37786    7.37361    7.39878    7.38552    7.41485    7.46323
    7.53593    7.63859    7.76970    7.91179    8.02965    8.07926    8.02911
    7.88066    7.66495

    7.15005    7.13645    7.15098    7.16371    7.17467    7.19107    7.23375
    7.30402    7.40140    7.52630    7.66333    7.78029    7.83531    7.79675
    7.66418    7.45510

    6.92615    6.92522    6.92647    6.92829    6.94857    6.96733    7.00740
    7.07058    7.16349    7.28141    7.41292    7.52845    7.58841    7.56090
    7.44420    7.24599

    6.70499    6.71399    6.70573    6.69362    6.72273    6.74375    6.78119
    6.84066    6.92780    7.04004    7.16599    7.27966    7.34383    7.32658
    7.22418    7.03830

    6.48279    6.47259    6.48311    6.50635    6.49675    6.51391    6.55203
    6.60926    6.69140    6.79784    6.91839    7.02988    7.09739    7.08992
    7.00035    6.82185

    6.26330    6.26136    6.26426    6.27207    6.27109    6.29672    6.32905
    6.38130    6.45916    6.55909    6.67422    6.78281    6.85348    6.85798
    6.77713    6.61223

    6.04360    6.05013    6.04353    6.03743    6.06048    6.07326    6.10312
    6.15517    6.22618    6.32072    6.42976    6.53562    6.60857    6.62200
    6.54549    6.39685

    5.82670    5.83890    5.82658    5.85131    5.83494    5.85621    5.88337
    5.92917    5.99737    6.08582    6.18913    6.29202    6.36615    6.38639
    6.32049    6.18791

    5.61037    5.59750    5.61151    5.61781    5.62473    5.63300    5.66376
    5.70665    5.76878    5.85190    5.94987    6.04881    6.12485    6.14953
    6.09075    5.97563

    5.39710    5.38627    5.39834    5.38470    5.39953    5.42239    5.44725
    5.48591    5.54434    5.62139    5.71439    5.80945    5.88882    5.91464
    5.86705    5.76968

    5.18511    5.17504    5.18517    5.19934    5.18945    5.20556    5.23083
    5.26697    5.32109    5.39372    5.48063    5.57161    5.65036    5.67555
    5.64496    5.56227

    4.97660    4.96381    4.97766    4.96737    4.97979    4.99516    5.01759
    5.05148    5.10197    5.16943    5.25104    5.33814    5.41498    5.44381
    5.42218    5.36160

    4.76999    4.78276    4.77015    4.78315    4.77012    4.79102    4.80742
    4.83940    4.88595    4.94791    5.02435    5.10874    5.18117    5.21475
    5.20597    5.16075

    4.56737    4.57153    4.56830    4.55232    4.57599    4.58706    4.60344
    4.63074    4.67403    4.73160    4.80259    4.88476    4.95182    4.98632
    4.99102    4.96732

    4.36792    4.36030    4.36834    4.36960    4.36683    4.38320    4.39956
    4.42716    4.46521    4.51864    4.58493    4.66214    4.72259    4.76626
    4.78395    4.77534

    4.17162    4.17925    4.17216    4.18764    4.17307    4.18568    4.20181
    4.22533    4.26046    4.30963    4.37091    4.44262    4.50139    4.54720
    4.57777    4.59000

    3.97978    3.96802    3.97975    3.95870    3.97960    3.99453    4.00719
    4.02854    4.06169    4.10636    4.16499    4.22866    4.28343    4.33817
    4.37851    4.40760

    3.79197    3.78697    3.79300    3.77862    3.80159    3.80353    3.81571
    3.83680    3.86600    3.90701    3.96143    4.01691    4.07420    4.13206
    4.18705    4.23076

    3.60821    3.60592    3.60814    3.59892    3.60860    3.61885    3.63033
    3.64843    3.67529    3.71276    3.76225    3.81354    3.86892    3.93284
    3.99917    4.06085

    3.42951    3.42487    3.42895    3.42034    3.43110    3.44055    3.44807
    3.46509    3.49053    3.52420    3.56903    3.61480    3.67354    3.74322
    3.81866    3.89511

    3.25557    3.24382    3.25541    3.24289    3.25397    3.26243    3.27196
    3.28839    3.31073    3.34313    3.38132    3.42514    3.48320    3.55873
    3.64630    3.73543

    3.08658    3.09294    3.08753    3.06656    3.09234    3.09688    3.10196
    3.11669    3.13587    3.16709    3.19952    3.24058    3.30279    3.38199
    3.47895    3.58194

    2.92258    2.91189    2.92343    2.93870    2.93093    2.93146    2.93807
    2.94834    2.96692    2.99485    3.02241    3.06473    3.12753    3.21419
    3.31868    3.43532

    2.76420    2.76101    2.76498    2.76425    2.76991    2.77242    2.77729
    2.78826    2.80385    2.82701    2.85436    2.89553    2.96099    3.05276
    3.16724    3.29399

    2.61122    2.61014    2.61220    2.59092    2.60926    2.61976    2.62262
    2.63314    2.64857    2.66717    2.69129    2.73546    2.80387    2.89910
    3.02116    3.15895

    2.46374    2.45926    2.46319    2.46606    2.46396    2.46720    2.47404
    2.48299    2.49723    2.51290    2.53762    2.58111    2.65275    2.75323
    2.88217    3.03031

    2.32184    2.30839    2.32173    2.34269    2.31914    2.32726    2.33157
    2.33943    2.35174    2.36418    2.38889    2.43498    2.50956    2.61578
    2.75038    2.90867


 constant for Pair  sampling table at low energies
  1.100000000000000E-003 -2.95860731484178  8.000000000000000E-003  67.5005778082284  12160.7142857143  47  47  5.000000000000000E-002  1.00000000000000  21  4.750000000000000E-002  .104085104462404  .000000000000000  .472870804501588  21  2.364354022507940E-002  .104085104462404  4.756805295811653E-002

StdRock 
total pair x-sec. at low E
  1.100000E-03  4.201357E-05
  1.397905E-03  2.457100E-03
  1.776490E-03  1.049384E-02
  2.257605E-03  2.455661E-02
  2.869017E-03  4.397916E-02
  3.646013E-03  6.788778E-02
  4.633437E-03  9.546769E-02
  5.888280E-03  .126022
  7.482962E-03  .158968
  9.509521E-03  .193865
  1.208492E-02  .230237
  1.535779E-02  .267156
  1.951704E-02  .304312
  2.480271E-02  .341460
  3.151985E-02  .378374
  4.005615E-02  .414782
  5.090429E-02  .450330
  6.469034E-02  .484594
  8.220998E-02  .517153
  .104474  .547658
  .132768  .575866
  .168725  .601634
  .214420  .624907
  .272490  .645705
  .346286  .664115
  .440069  .680278
  .559249  .694368
  .710707  .706576
  .903183  .717097
  1.14779  .726120
  1.45863  .733822
  1.85366  .740371
  2.35568  .745916
  2.99365  .750594
  3.80440  .754527
  4.83472  .757823
  6.14407  .760576
  7.80803  .762871
  9.92263  .764778
  12.6099  .766359
  16.0250  .767666
  20.3649  .768745
  25.8802  .769634
  32.8891  .770366
  41.7962  .770967
  53.1156  .771460
  67.5006  .771864

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

     .12421     .12032     .11762     .11554     .11386     .11246     .11129
     .11027     .10941     .10865     .10800     .10743     .10695     .10653
     .10618     .10589     .10567     .10547     .10534     .10530     .10527

     .19611     .18999     .18572     .18245     .17982     .17763     .17579
     .17421     .17285     .17169     .17067     .16979     .16903     .16841
     .16785     .16742     .16704     .16679     .16655     .16652     .16643

     .25273     .24492     .23951     .23537     .23205     .22932     .22701
     .22505     .22337     .22190     .22066     .21958     .21866     .21787
     .21721     .21666     .21623     .21587     .21568     .21546     .21545

     .29740     .28838     .28219     .27750     .27375     .27069     .26812
     .26595     .26408     .26248     .26112     .25994     .25893     .25808
     .25735     .25679     .25631     .25592     .25566     .25551     .25548

     .33275     .32296     .31633     .31134     .30741     .30421     .30155
     .29931     .29742     .29579     .29441     .29324     .29221     .29139
     .29067     .29008     .28960     .28928     .28902     .28882     .28882

     .36083     .35066     .34387     .33882     .33489     .33171     .32912
     .32693     .32511     .32357     .32225     .32114     .32022     .31943
     .31877     .31825     .31781     .31751     .31727     .31717     .31709

     .38327     .37302     .36630     .36139     .35760     .35459     .35213
     .35012     .34846     .34705     .34588     .34491     .34408     .34341
     .34286     .34241     .34206     .34179     .34158     .34148     .34144

     .40131     .39127     .38479     .38013     .37658     .37382     .37160
     .36982     .36835     .36714     .36616     .36536     .36469     .36415
     .36371     .36336     .36309     .36291     .36276     .36272     .36264

     .41576     .40625     .40034     .39621     .39317     .39086     .38908
     .38767     .38657     .38572     .38504     .38451     .38410     .38378
     .38354     .38335     .38321     .38312     .38309     .38298     .38302

     .42832     .41949     .41413     .41045     .40781     .40587     .40442
     .40334     .40255     .40196     .40152     .40122     .40101     .40089
     .40081     .40075     .40073     .40075     .40071     .40075     .40074

     .43861     .43050     .42566     .42246     .42025     .41868     .41757
     .41682     .41632     .41600     .41581     .41575     .41575     .41581
     .41589     .41598     .41608     .41618     .41624     .41628     .41629

     .44710     .43971     .43544     .43271     .43089     .42970     .42893
     .42849     .42828     .42824     .42831     .42846     .42867     .42891
     .42916     .42939     .42959     .42976     .42987     .43006     .43002

     .45420     .44752     .44379     .44150     .44010     .43926     .43885
     .43870     .43876     .43898     .43929     .43966     .44009     .44050
     .44089     .44129     .44162     .44185     .44202     .44221     .44222

     .46016     .45418     .45098     .44913     .44812     .44764     .44753
     .44767     .44801     .44848     .44904     .44963     .45025     .45084
     .45140     .45192     .45234     .45269     .45298     .45310     .45318

     .46523     .45993     .45724     .45582     .45517     .45503     .45524
     .45568     .45632     .45705     .45783     .45867     .45948     .46027
     .46099     .46166     .46219     .46265     .46295     .46322     .46325

     .46958     .46495     .46275     .46177     .46151     .46172     .46226
     .46302     .46393     .46494     .46599     .46705     .46808     .46907
     .46997     .47078     .47145     .47200     .47238     .47273     .47275

     .47335     .46938     .46770     .46715     .46730     .46787     .46877
     .46985     .47110     .47238     .47371     .47504     .47631     .47751
     .47860     .47957     .48039     .48107     .48156     .48175     .48192

     .47667     .47337     .47221     .47212     .47268     .47368     .47493
     .47637     .47794     .47954     .48116     .48275     .48426     .48569
     .48698     .48813     .48909     .48985     .49042     .49070     .49086

     .47962     .47700     .47639     .47680     .47779     .47919     .48081
     .48261     .48450     .48643     .48833     .49019     .49196     .49360
     .49510     .49640     .49752     .49838     .49905     .49949     .49955

     .48227     .48034     .48028     .48118     .48262     .48443     .48642
     .48858     .49080     .49303     .49523     .49735     .49936     .50122
     .50292     .50440     .50562     .50660     .50735     .50771     .50793

     .48468     .48343     .48395     .48531     .48719     .48938     .49177
     .49425     .49678     .49930     .50178     .50415     .50641     .50848
     .51035     .51200     .51336     .51446     .51530     .51574     .51594

     .48686     .48630     .48735     .48920     .49148     .49404     .49677
     .49959     .50241     .50521     .50796     .51058     .51306     .51533
     .51738     .51919     .52070     .52189     .52276     .52328     .52351

     .48886     .48897     .49053     .49282     .49548     .49841     .50146
     .50456     .50767     .51076     .51374     .51660     .51926     .52176
     .52399     .52593     .52755     .52888     .52985     .53037     .53060

     .49069     .49142     .49349     .49618     .49920     .50244     .50577
     .50917     .51256     .51586     .51909     .52215     .52502     .52769
     .53007     .53218     .53394     .53534     .53636     .53705     .53718

     .49236     .49368     .49620     .49924     .50260     .50613     .50975
     .51339     .51702     .52055     .52398     .52725     .53030     .53313
     .53566     .53790     .53977     .54123     .54231     .54299     .54321

     .49389     .49577     .49867     .50205     .50570     .50950     .51337
     .51725     .52107     .52480     .52842     .53186     .53510     .53806
     .54074     .54307     .54505     .54663     .54771     .54839     .54868

     .49529     .49765     .50092     .50459     .50850     .51255     .51662
     .52071     .52472     .52865     .53243     .53603     .53939     .54251
     .54531     .54774     .54979     .55144     .55266     .55342     .55359

     .49654     .49934     .50293     .50688     .51102     .51527     .51953
     .52378     .52799     .53205     .53600     .53974     .54323     .54646
     .54935     .55189     .55405     .55573     .55700     .55776     .55798

     .49769     .50086     .50474     .50893     .51325     .51768     .52213
     .52652     .53087     .53510     .53916     .54302     .54663     .54996
     .55296     .55558     .55779     .55955     .56082     .56159     .56187

     .49872     .50222     .50633     .51072     .51524     .51982     .52441
     .52894     .53343     .53777     .54194     .54591     .54964     .55307
     .55614     .55883     .56111     .56292     .56422     .56506     .56530

     .49963     .50343     .50777     .51231     .51698     .52169     .52641
     .53107     .53565     .54010     .54438     .54845     .55227     .55577
     .55893     .56168     .56400     .56584     .56719     .56804     .56830

     .50042     .50450     .50900     .51371     .51852     .52334     .52817
     .53294     .53761     .54215     .54652     .55067     .55457     .55813
     .56135     .56415     .56652     .56842     .56983     .57067     .57092

     .50114     .50543     .51010     .51495     .51986     .52478     .52969
     .53454     .53932     .54395     .54838     .55260     .55654     .56017
     .56346     .56633     .56874     .57067     .57205     .57297     .57319

     .50177     .50626     .51107     .51601     .52102     .52604     .53101
     .53596     .54078     .54548     .54998     .55426     .55827     .56196
     .56527     .56816     .57063     .57259     .57402     .57478     .57515

     .50233     .50697     .51188     .51692     .52201     .52711     .53217
     .53716     .54204     .54679     .55136     .55569     .55975     .56348
     .56682     .56977     .57226     .57422     .57566     .57658     .57683

     .50282     .50760     .51260     .51772     .52288     .52804     .53315
     .53819     .54314     .54793     .55254     .55691     .56100     .56477
     .56816     .57115     .57366     .57564     .57705     .57789     .57827

     .50324     .50814     .51323     .51840     .52362     .52883     .53400
     .53908     .54407     .54891     .55353     .55794     .56208     .56589
     .56931     .57229     .57484     .57684     .57827     .57920     .57950

     .50361     .50859     .51376     .51900     .52426     .52951     .53470
     .53983     .54486     .54971     .55438     .55883     .56300     .56682
     .57026     .57327     .57582     .57782     .57933     .58018     .58053

     .50392     .50899     .51422     .51948     .52479     .53007     .53531
     .54046     .54551     .55043     .55510     .55958     .56376     .56762
     .57107     .57412     .57668     .57869     .58015     .58115     .58141

     .50419     .50934     .51460     .51993     .52524     .53055     .53582
     .54102     .54608     .55099     .55572     .56021     .56441     .56829
     .57175     .57480     .57737     .57940     .58088     .58180     .58214

     .50442     .50962     .51493     .52027     .52563     .53097     .53627
     .54147     .54655     .55149     .55624     .56074     .56496     .56885
     .57232     .57539     .57798     .58005     .58153     .58245     .58276

     .50462     .50988     .51520     .52058     .52596     .53132     .53662
     .54184     .54695     .55191     .55667     .56119     .56541     .56931
     .57281     .57588     .57847     .58053     .58202     .58294     .58327

     .50480     .51008     .51544     .52083     .52624     .53160     .53692
     .54217     .54728     .55226     .55702     .56155     .56579     .56969
     .57322     .57630     .57887     .58097     .58243     .58343     .58370

     .50495     .51026     .51564     .52104     .52647     .53184     .53718
     .54242     .54755     .55253     .55732     .56186     .56612     .57001
     .57354     .57662     .57924     .58129     .58283     .58375     .58406

     .50506     .51041     .51580     .52124     .52665     .53206     .53739
     .54265     .54779     .55277     .55758     .56211     .56636     .57029
     .57381     .57692     .57952     .58156     .58308     .58408     .58435

     .50516     .51053     .51594     .52137     .52681     .53221     .53757
     .54282     .54798     .55297     .55777     .56233     .56658     .57050
     .57403     .57714     .57972     .58183     .58332     .58424     .58460


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

     .53787     .53786     .53785     .53784     .53781     .53775     .53769
     .53759     .53748     .53733     .53715     .53694     .53670     .53642
     .53610     .53574     .53534     .53489     .53440     .53385     .53325

     .54504     .54503     .54502     .54500     .54496     .54490     .54482
     .54470     .54457     .54439     .54418     .54393     .54364     .54331
     .54293     .54250     .54203     .54149     .54090     .54026     .53955

     .55673     .55673     .55672     .55669     .55664     .55657     .55646
     .55632     .55614     .55592     .55566     .55534     .55498     .55456
     .55408     .55354     .55294     .55226     .55152     .55071     .54981

     .57261     .57261     .57259     .57255     .57249     .57239     .57226
     .57207     .57185     .57157     .57122     .57082     .57036     .56982
     .56921     .56852     .56775     .56689     .56593     .56489     .56374

     .59219     .59218     .59216     .59211     .59204     .59191     .59174
     .59151     .59121     .59087     .59043     .58992     .58932     .58865
     .58786     .58698     .58600     .58491     .58371     .58238     .58092

     .61490     .61490     .61487     .61482     .61471     .61456     .61435
     .61406     .61369     .61324     .61271     .61207     .61133     .61048
     .60951     .60841     .60719     .60582     .60432     .60266     .60085

     .64012     .64012     .64008     .64002     .63989     .63970     .63943
     .63909     .63865     .63810     .63744     .63667     .63576     .63472
     .63354     .63220     .63070     .62904     .62720     .62518     .62296

     .66718     .66717     .66713     .66705     .66690     .66667     .66635
     .66595     .66542     .66476     .66398     .66305     .66197     .66072
     .65931     .65771     .65593     .65395     .65174     .64934     .64669

     .69539     .69538     .69533     .69524     .69506     .69480     .69443
     .69394     .69332     .69257     .69165     .69056     .68930     .68784
     .68619     .68431     .68223     .67990     .67734     .67451     .67142

     .72410     .72409     .72404     .72393     .72372     .72342     .72300
     .72244     .72172     .72085     .71980     .71855     .71710     .71543
     .71353     .71140     .70899     .70634     .70338     .70015     .69661

     .75269     .75268     .75263     .75249     .75227     .75192     .75145
     .75082     .75002     .74902     .74784     .74643     .74480     .74292
     .74077     .73836     .73565     .73265     .72933     .72568     .72169

     .78062     .78061     .78055     .78040     .78015     .77977     .77924
     .77853     .77764     .77655     .77523     .77366     .77185     .76976
     .76738     .76470     .76170     .75837     .75468     .75064     .74621

     .80741     .80740     .80733     .80717     .80690     .80648     .80590
     .80513     .80415     .80295     .80150     .79979     .79780     .79551
     .79290     .78998     .78669     .78305     .77903     .77461     .76978

     .83268     .83267     .83260     .83243     .83213     .83167     .83105
     .83021     .82916     .82786     .82628     .82444     .82228     .81982
     .81700     .81384     .81029     .80636     .80203     .79727     .79206

     .85615     .85613     .85606     .85587     .85556     .85507     .85439
     .85350     .85237     .85098     .84931     .84733     .84502     .84238
     .83938     .83601     .83224     .82806     .82344     .81836     .81283

     .87760     .87759     .87750     .87731     .87697     .87646     .87574
     .87480     .87360     .87212     .87036     .86826     .86584     .86305
     .85989     .85632     .85235     .84795     .84308     .83776     .83193

     .89694     .89692     .89683     .89663     .89628     .89573     .89498
     .89400     .89274     .89120     .88935     .88716     .88462     .88170
     .87841     .87469     .87055     .86596     .86091     .85536     .84930

     .91412     .91410     .91401     .91379     .91343     .91287     .91209
     .91106     .90975     .90816     .90624     .90396     .90135     .89833
     .89493     .89108     .88681     .88209     .87688     .87117     .86492

     .92918     .92916     .92906     .92884     .92846     .92788     .92709
     .92603     .92469     .92304     .92106     .91874     .91604     .91297
     .90947     .90555     .90119     .89637     .89106     .88523     .87887

     .94220     .94219     .94218     .94211     .94192     .94154     .94088
     .93988     .93852     .93678     .93463     .93212     .92921     .92592
     .92223     .91813     .91360     .90863     .90319     .89727     .89082

     .95332     .95331     .95330     .95323     .95302     .95262     .95194
     .95092     .94955     .94779     .94566     .94317     .94030     .93705
     .93340     .92936     .92488     .91997     .91457     .90869     .90227

     .96269     .96268     .96266     .96258     .96237     .96194     .96124
     .96021     .95881     .95707     .95497     .95251     .94970     .94653
     .94295     .93897     .93458     .92974     .92443     .91860     .91224

     .97048     .97048     .97046     .97038     .97015     .96970     .96898
     .96792     .96654     .96482     .96277     .96037     .95763     .95453
     .95105     .94717     .94288     .93813     .93292     .92717     .92090

     .97690     .97689     .97687     .97679     .97654     .97607     .97533
     .97427     .97290     .97123     .96923     .96692     .96427     .96126
     .95790     .95413     .94995     .94532     .94021     .93459     .92842

     .98210     .98209     .98208     .98198     .98173     .98124     .98049
     .97945     .97811     .97649     .97456     .97234     .96979     .96691
     .96366     .96002     .95596     .95146     .94649     .94099     .93493

     .98628     .98627     .98626     .98615     .98588     .98538     .98464
     .98361     .98234     .98078     .97895     .97682     .97438     .97162
     .96851     .96499     .96107     .95671     .95187     .94650     .94058

     .98959     .98958     .98957     .98945     .98918     .98867     .98794
     .98697     .98574     .98426     .98253     .98051     .97820     .97557
     .97258     .96920     .96542     .96121     .95650     .95129     .94551

     .99218     .99218     .99215     .99204     .99175     .99126     .99055
     .98962     .98847     .98708     .98545     .98355     .98136     .97885
     .97600     .97278     .96915     .96508     .96053     .95547     .94983

     .99419     .99418     .99415     .99403     .99375     .99328     .99260
     .99174     .99065     .98937     .98783     .98605     .98399     .98162
     .97891     .97583     .97235     .96844     .96405     .95913     .95366

     .99573     .99572     .99569     .99557     .99528     .99483     .99421
     .99341     .99241     .99121     .98979     .98813     .98619     .98395
     .98138     .97844     .97513     .97138     .96714     .96239     .95710

     .99689     .99688     .99685     .99673     .99646     .99603     .99546
     .99472     .99381     .99271     .99139     .98983     .98803     .98592
     .98349     .98072     .97755     .97396     .96989     .96533     .96020

     .99776     .99775     .99772     .99760     .99734     .99695     .99643
     .99576     .99493     .99391     .99270     .99127     .98957     .98759
     .98531     .98268     .97968     .97624     .97236     .96797     .96303

     .99840     .99840     .99837     .99824     .99800     .99765     .99718
     .99659     .99583     .99490     .99379     .99245     .99087     .98903
     .98688     .98439     .98154     .97827     .97456     .97035     .96560

     .99887     .99887     .99884     .99871     .99850     .99820     .99777
     .99722     .99654     .99570     .99468     .99345     .99199     .99025
     .98824     .98590     .98319     .98010     .97655     .97251     .96795

     .99921     .99921     .99918     .99907     .99887     .99860     .99822
     .99773     .99712     .99634     .99541     .99427     .99291     .99130
     .98941     .98720     .98466     .98170     .97832     .97445     .97005

     .99946     .99945     .99942     .99933     .99914     .99890     .99858
     .99814     .99757     .99689     .99602     .99497     .99372     .99221
     .99044     .98835     .98593     .98313     .97989     .97617     .97192

     .99963     .99962     .99959     .99950     .99936     .99915     .99884
     .99846     .99796     .99732     .99653     .99557     .99439     .99299
     .99133     .98936     .98706     .98437     .98126     .97768     .97355

     .99975     .99974     .99971     .99963     .99951     .99931     .99906
     .99870     .99826     .99768     .99695     .99607     .99497     .99366
     .99209     .99022     .98803     .98545     .98245     .97897     .97496

     .99983     .99982     .99979     .99973     .99963     .99946     .99923
     .99891     .99850     .99798     .99731     .99648     .99546     .99423
     .99273     .99096     .98886     .98637     .98346     .98007     .97614

     .99989     .99988     .99987     .99980     .99971     .99956     .99936
     .99907     .99871     .99822     .99761     .99683     .99587     .99471
     .99329     .99158     .98954     .98713     .98429     .98096     .97710

     .99993     .99992     .99990     .99986     .99977     .99964     .99946
     .99920     .99887     .99842     .99784     .99713     .99623     .99511
     .99374     .99209     .99011     .98776     .98498     .98172     .97790

     .99995     .99994     .99993     .99988     .99982     .99970     .99955
     .99932     .99900     .99859     .99805     .99737     .99651     .99544
     .99412     .99251     .99058     .98827     .98553     .98231     .97854

     .99997     .99996     .99995     .99992     .99986     .99975     .99961
     .99940     .99911     .99873     .99822     .99757     .99674     .99571
     .99442     .99285     .99094     .98867     .98596     .98277     .97903

     .99998     .99997     .99996     .99993     .99988     .99979     .99965
     .99947     .99919     .99884     .99836     .99773     .99694     .99591
     .99466     .99311     .99125     .98899     .98630     .98313     .97940

     .99999     .99998     .99998     .99995     .99990     .99983     .99971
     .99952     .99928     .99893     .99847     .99786     .99708     .99609
     .99484     .99331     .99147     .98922     .98655     .98341     .97970

     .99999     .99998     .99998     .99998     .99995     .99992     .99983
     .99969     .99950     .99919     .99878     .99821     .99748     .99654
     .99533     .99385     .99202     .98982     .98720     .98407     .98039


constant used in Pair cre. sampling with LPM
  12160.7142857143  25  2.500000000000000E-002  .100000000000000  .000000000000000  1.00000000000000  41  4.08495908490658  3054633.32117505

StdRock 
Pair total x-sec. with LPM
  12160.7  .773580
  15309.4  .772894
  19273.4  .772894
  24263.8  .772894
  30546.3  .772894
  38455.6  .772313
  48412.7  .772219
  60947.9  .772618
  76728.9  .772356
  96596.0  .771372
  121607.  .767881
  153094.  .762351
  192734.  .753567
  242638.  .741149
  305463.  .725393
  384556.  .705878
  484127.  .682733
  609480.  .656560
  767289.  .627628
  965960.  .596455
  1.216071E+06  .563720
  1.530943E+06  .529931
  1.927343E+06  .495715
  2.426382E+06  .461559
  3.054633E+06  .427955

Pair table with LPM
    1.00000     .99027     .98040     .97041     .96027     .95000     .93960
     .92905     .91836     .90751     .89652     .88538     .87409     .86265
     .85104     .83927     .82735     .81528     .80305     .79064     .77810
     .76539     .75251     .73950     .72632     .71300     .69954     .68594
     .67220     .65834     .64436     .63026     .61606     .60177     .58739
     .57294     .55843     .54387     .52926     .51464     .50000

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

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

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

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

    1.00000     .99023     .98031     .97028     .96011     .94981     .93935
     .92878     .91805     .90717     .89616     .88499     .87368     .86221
     .85059     .83881     .82688     .81481     .80256     .79017     .77763
     .76492     .75206     .73906     .72591     .71262     .69918     .68562
     .67192     .65810     .64416     .63012     .61598     .60168     .58722
     .57283     .55839     .54366     .52913     .51457     .50000

    1.00000     .99023     .98032     .97028     .96011     .94981     .93937
     .92878     .91805     .90719     .89617     .88500     .87370     .86224
     .85061     .83884     .82691     .81483     .80259     .79020     .77766
     .76495     .75210     .73906     .72581     .71253     .69894     .68540
     .67172     .65792     .64376     .62975     .61563     .60143     .58714
     .57243     .55802     .54356     .52906     .51454     .50000

    1.00000     .99021     .98031     .97027     .96009     .94978     .93934
     .92875     .91801     .90714     .89611     .88494     .87362     .86216
     .85053     .83875     .82682     .81469     .80238     .78999     .77732
     .76464     .75180     .73864     .72552     .71226     .69886     .68505
     .67141     .65763     .64374     .62973     .61563     .60142     .58676
     .57241     .55801     .54356     .52906     .51454     .50000

    1.00000     .99023     .98031     .97028     .96011     .94981     .93935
     .92876     .91804     .90717     .89616     .88499     .87366     .86221
     .85050     .83874     .82674     .81469     .80235     .78999     .77749
     .76463     .75183     .73888     .72579     .71254     .69915     .68532
     .67168     .65791     .64401     .63000     .61588     .60166     .58735
     .57297     .55852     .54362     .52910     .51456     .50000

    1.00000     .99023     .98034     .97031     .96015     .94987     .93943
     .92887     .91816     .90730     .89629     .88508     .87373     .86231
     .85062     .83892     .82706     .81489     .80273     .79041     .77793
     .76528     .75229     .73935     .72625     .71299     .69960     .68605
     .67235     .65852     .64426     .63021     .61605     .60178     .58742
     .57298     .55847     .54390     .52929     .51465     .50000

    1.00000     .99027     .98043     .97045     .96035     .95010     .93972
     .92921     .91854     .90769     .89672     .88558     .87438     .86304
     .85145     .83982     .82803     .81588     .80378     .79151     .77908
     .76647     .75368     .74073     .72738     .71413     .70072     .68715
     .67343     .65956     .64557     .63143     .61718     .60282     .58835
     .57380     .55883     .54418     .52948     .51474     .50000

    1.00000     .99035     .98057     .97066     .96064     .95048     .94018
     .92970     .91911     .90836     .89756     .88651     .87543     .86419
     .85265     .84110     .82938     .81748     .80541     .79296     .78056
     .76797     .75520     .74225     .72912     .71582     .70234     .68869
     .67488     .66064     .64655     .63233     .61797     .60350     .58892
     .57425     .55950     .54468     .52982     .51492     .50000

    1.00000     .99046     .98080     .97102     .96110     .95106     .94083
     .93050     .92011     .90952     .89887     .88795     .87699     .86587
     .85458     .84310     .83131     .81948     .80747     .79528     .78288
     .77029     .75750     .74452     .73113     .71779     .70427     .69056
     .67667     .66262     .64840     .63404     .61953     .60489     .59014
     .57528     .56033     .54531     .53024     .51513     .50000

    1.00000     .99062     .98112     .97150     .96175     .95185     .94186
     .93174     .92155     .91113     .90064     .88999     .87917     .86806
     .85690     .84554     .83399     .82223     .81026     .79809     .78556
     .77299     .76021     .74723     .73403     .72062     .70701     .69320
     .67920     .66501     .65065     .63611     .62142     .60659     .59138
     .57633     .56118     .54596     .53067     .51535     .50000

    1.00000     .99082     .98153     .97211     .96256     .95292     .94317
     .93333     .92330     .91317     .90285     .89230     .88165     .87080
     .85975     .84849     .83689     .82522     .81332     .80120     .78887
     .77630     .76350     .75046     .73719     .72371     .70999     .69606
     .68171     .66739     .65286     .63815     .62327     .60823     .59305
     .57774     .56233     .54683     .53125     .51564     .50000

    1.00000     .99107     .98203     .97286     .96360     .95425     .94476
     .93519     .92545     .91547     .90539     .89512     .88462     .87392
     .86292     .85180     .84043     .82885     .81701     .80494     .79261
     .78004     .76720     .75396     .74066     .72710     .71329     .69925
     .68497     .67047     .65574     .64082     .62570     .61040     .59494
     .57935     .56363     .54781     .53192     .51597     .50000

    1.00000     .99136     .98263     .97378     .96484     .95579     .94666
     .93731     .92785     .91817     .90832     .89816     .88787     .87736
     .86660     .85561     .84437     .83286     .82110     .80906     .79665
     .78410     .77128     .75817     .74480     .73115     .71724     .70305
     .68861     .67392     .65898     .64382     .62844     .61286     .59710
     .58103     .56499     .54884     .53261     .51632     .50000

    1.00000     .99169     .98328     .97480     .96624     .95756     .94869
     .93969     .93049     .92109     .91140     .90156     .89147     .88113
     .87054     .85967     .84853     .83704     .82537     .81341     .80116
     .78861     .77576     .76262     .74917     .73543     .72139     .70705
     .69242     .67752     .66224     .64683     .63118     .61531     .59923
     .58298     .56658     .55005     .53342     .51674     .50000

    1.00000     .99206     .98403     .97594     .96775     .95940     .95092
     .94222     .93327     .92414     .91476     .90514     .89526     .88509
     .87460     .86390     .85291     .84162     .83002     .81812     .80592
     .79337     .78051     .76733     .75381     .73996     .72571     .71123
     .69644     .68134     .66594     .65026     .63430     .61811     .60167
     .58505     .56823     .55130     .53427     .51715     .50000

    1.00000     .99245     .98484     .97715     .96937     .96139     .95324
     .94482     .93621     .92736     .91824     .90884     .89912     .88918
     .87894     .86840     .85754     .84637     .83486     .82304     .81086
     .79833     .78541     .77219     .75863     .74470     .73042     .71579
     .70081     .68548     .66983     .65386     .63761     .62107     .60428
     .58725     .57005     .55269     .53521     .51764     .50000

    1.00000     .99288     .98568     .97843     .97102     .96342     .95557
     .94752     .93920     .93063     .92171     .91257     .90314     .89339
     .88334     .87296     .86225     .85119     .83979     .82798     .81586
     .80338     .79052     .77728     .76365     .74963     .73523     .72044
     .70528     .68974     .67382     .65758     .64101     .62413     .60696
     .58952     .57189     .55407     .53613     .51809     .50000

    1.00000     .99329     .98655     .97970     .97269     .96545     .95797
     .95022     .94221     .93388     .92529     .91639     .90717     .89764
     .88776     .87756     .86695     .85603     .84473     .83308     .82102
     .80856     .79571     .78243     .76876     .75467     .74015     .72522
     .70989     .69413     .67797     .66144     .64455     .62731     .60976
     .59193     .57382     .55555     .53712     .51859     .50000

    1.00000     .99374     .98743     .98100     .97434     .96746     .96032
     .95289     .94515     .93714     .92881     .92016     .91117     .90183
     .89213     .88209     .87168     .86089     .84971     .83813     .82613
     .81373     .80088     .78762     .77390     .75974     .74511     .73005
     .71453     .69857     .68219     .66534     .64813     .63054     .61260
     .59434     .57582     .55706     .53814     .51910     .50000

    1.00000     .99416     .98830     .98226     .97598     .96944     .96262
     .95550     .94807     .94033     .93224     .92384     .91505     .90594
     .89645     .88659     .87634     .86568     .85462     .84315     .83121
     .81886     .80605     .79276     .77901     .76479     .75010     .73490
     .71920     .70304     .68641     .66932     .65179     .63385     .61551
     .59680     .57782     .55859     .53917     .51962     .50000

    1.00000     .99459     .98913     .98347     .97756     .97137     .96484
     .95803     .95087     .94340     .93559     .92739     .91885     .90993
     .90064     .89095     .88087     .87034     .85940     .84803     .83617
     .82388     .81110     .79783     .78405     .76977     .75499     .73967
     .72384     .70749     .69062     .67324     .65540     .63710     .61839
     .59929     .57985     .56015     .54022     .52015     .50000


# ************muon tab*********************** 
#     This table  has been made by using ../../Data/BaseM/StdRock 
#     with nuclear interaction formula: 1
#     Mon Apr 26 14:25:37 GMT+0900 1999 by KASAHARA using 
#      version epics.uv5.00  
# 
-------------------------------------------
constant used in muon pair creation sampling
  1.000000000000000E-003  .100000000000000  .200000000000000  14.1752426804946  89439.7347904717  1.000000000000000E-002  101  20  39  89439.7347904717

StdRock 
Muon pair cre. total X-sec. table (Prob./X0) upto E=  89439.7347904719 GeV
  14.1752  4.034994E-03
  17.8456  4.476800E-03
  22.4662  4.917464E-03
  28.2833  5.354112E-03
  35.6066  5.783902E-03
  44.8261  6.204025E-03
  56.4327  6.611726E-03
  71.0445  7.004349E-03
  89.4397  7.379415E-03
  112.598  7.734702E-03
  141.752  8.068337E-03
  178.456  8.378875E-03
  224.662  8.665355E-03
  282.833  8.927328E-03
  356.066  9.164848E-03
  448.261  9.378438E-03
  564.327  9.569017E-03
  710.445  9.737827E-03
  894.397  9.886340E-03
  1125.98  1.001618E-02
  1417.52  1.012902E-02
  1784.56  1.022657E-02
  2246.62  1.031048E-02
  2828.33  1.038230E-02
  3560.66  1.044351E-02
  4482.61  1.049544E-02
  5643.27  1.053931E-02
  7104.45  1.057622E-02
  8943.97  1.060713E-02
  11259.8  1.063291E-02
  14175.2  1.065432E-02
  17845.6  1.067202E-02
  22466.2  1.068658E-02
  28283.3  1.069851E-02
  35606.6  1.070825E-02
  44826.1  1.071617E-02
  56432.7  1.072259E-02
  71044.5  1.072777E-02
  89439.7  1.073194E-02

StdRock 
dE/dx(v<vmin)/Emu (/(g/cm2))by muon pair cre.
  14.1752  4.627437E-08
  17.8456  5.847867E-08
  22.4662  7.174970E-08
  28.2833  8.594348E-08
  35.6066  1.009161E-07
  44.8261  1.165252E-07
  56.4327  1.326303E-07
  71.0445  1.490937E-07
  89.4397  1.657796E-07
  112.598  1.825550E-07
  141.752  1.992895E-07
  178.456  2.158566E-07
  224.662  2.321349E-07
  282.833  2.480098E-07
  356.066  2.633761E-07
  448.261  2.781399E-07
  564.327  2.922206E-07
  710.445  3.055529E-07
  894.397  3.180876E-07
  1125.98  3.297919E-07
  1417.52  3.406489E-07
  1784.56  3.506565E-07
  2246.62  3.598258E-07
  2828.33  3.681792E-07
  3560.66  3.757484E-07
  4482.61  3.825720E-07
  5643.27  3.886941E-07
  7104.45  3.941619E-07
  8943.97  3.990244E-07
  11259.8  4.033311E-07
  14175.2  4.071305E-07
  17845.6  4.104701E-07
  22466.2  4.133948E-07
  28283.3  4.159474E-07
  35606.6  4.181676E-07
  44826.1  4.200923E-07
  56432.7  4.217555E-07
  71044.5  4.231884E-07
  89439.7  4.244191E-07

StdRock 
dE/dx(v<vmax)/Emu (/(g/cm2))by muon pair cre.
  14.1752  8.650250E-07
  17.8456  9.522769E-07
  22.4662  1.040069E-06
  28.2833  1.127822E-06
  35.6066  1.214931E-06
  44.8261  1.300805E-06
  56.4327  1.384880E-06
  71.0445  1.466594E-06
  89.4397  1.545436E-06
  112.598  1.620928E-06
  141.752  1.692670E-06
  178.456  1.760323E-06
  224.662  1.823641E-06
  282.833  1.882459E-06
  356.066  1.936703E-06
  448.261  1.986375E-06
  564.327  2.031554E-06
  710.445  2.072381E-06
  894.397  2.109045E-06
  1125.98  2.141780E-06
  1417.52  2.170840E-06
  1784.56  2.196505E-06
  2246.62  2.219057E-06
  2828.33  2.238782E-06
  3560.66  2.255960E-06
  4482.61  2.270860E-06
  5643.27  2.283735E-06
  7104.45  2.294823E-06
  8943.97  2.304340E-06
  11259.8  2.312486E-06
  14175.2  2.319439E-06
  17845.6  2.325359E-06
  22466.2  2.330387E-06
  28283.3  2.334650E-06
  35606.6  2.338255E-06
  44826.1  2.341299E-06
  56432.7  2.343865E-06
  71044.5  2.346024E-06
  89439.7  2.347838E-06

constant used in muon Brems sampling
  1.000000000000000E-003  .100000000000000  .200000000000000  20.2503466864209  80618.0822205840  1.000000000000000E-002  101  19  37  80618.0822205840

StdRock 
Muon brems total X-sec. table (Prob./X0) upto E=  80618.0822205841 GeV
  20.2503  3.082631E-04
  25.4937  3.141310E-04
  32.0946  3.196805E-04
  40.4048  3.249145E-04
  50.8666  3.298410E-04
  64.0372  3.344568E-04
  80.6181  3.387669E-04
  101.492  3.427776E-04
  127.771  3.464967E-04
  160.854  3.499328E-04
  202.503  3.530957E-04
  254.937  3.559960E-04
  320.946  3.586454E-04
  404.048  3.610561E-04
  508.666  3.632409E-04
  640.372  3.652131E-04
  806.181  3.669864E-04
  1014.92  3.685744E-04
  1277.71  3.699909E-04
  1608.54  3.712493E-04
  2025.03  3.723631E-04
  2549.37  3.733450E-04
  3209.46  3.742073E-04
  4040.48  3.749618E-04
  5086.66  3.756196E-04
  6403.72  3.761910E-04
  8061.81  3.766857E-04
  10149.2  3.771124E-04
  12777.1  3.774794E-04
  16085.4  3.777939E-04
  20250.3  3.780626E-04
  25493.7  3.782915E-04
  32094.6  3.784860E-04
  40404.8  3.786507E-04
  50866.6  3.787898E-04
  64037.2  3.789071E-04
  80618.1  3.790057E-04

StdRock 
dE/dx(v<vmin)/Emu (/(g/cm2))by muon brems
  20.2503  2.264598E-09
  25.4937  2.266573E-09
  32.0946  2.268156E-09
  40.4048  2.269422E-09
  50.8666  2.270433E-09
  64.0372  2.271241E-09
  80.6181  2.271884E-09
  101.492  2.272397E-09
  127.771  2.272805E-09
  160.854  2.273130E-09
  202.503  2.273388E-09
  254.937  2.273594E-09
  320.946  2.273757E-09
  404.048  2.273887E-09
  508.666  2.273990E-09
  640.372  2.274072E-09
  806.181  2.274137E-09
  1014.92  2.274189E-09
  1277.71  2.274230E-09
  1608.54  2.274263E-09
  2025.03  2.274289E-09
  2549.37  2.274309E-09
  3209.46  2.274326E-09
  4040.48  2.274339E-09
  5086.66  2.274349E-09
  6403.72  2.274357E-09
  8061.81  2.274364E-09
  10149.2  2.274369E-09
  12777.1  2.274373E-09
  16085.4  2.274376E-09
  20250.3  2.274379E-09
  25493.7  2.274381E-09
  32094.6  2.274383E-09
  40404.8  2.274384E-09
  50866.6  2.274385E-09
  64037.2  2.274386E-09
  80618.1  2.274386E-09

StdRock 
dE/dx(v<vmax)/Emu (/(g/cm2))by muon brems
  20.2503  8.671992E-07
  25.4937  9.096055E-07
  32.0946  9.515946E-07
  40.4048  9.933556E-07
  50.8666  1.034684E-06
  64.0372  1.075365E-06
  80.6181  1.115301E-06
  101.492  1.154394E-06
  127.771  1.192543E-06
  160.854  1.229645E-06
  202.503  1.265598E-06
  254.937  1.300304E-06
  320.946  1.333668E-06
  404.048  1.365603E-06
  508.666  1.396028E-06
  640.372  1.424876E-06
  806.181  1.452092E-06
  1014.92  1.477636E-06
  1277.71  1.501483E-06
  1608.54  1.523625E-06
  2025.03  1.544070E-06
  2549.37  1.562844E-06
  3209.46  1.579987E-06
  4040.48  1.595552E-06
  5086.66  1.609607E-06
  6403.72  1.622229E-06
  8061.81  1.633502E-06
  10149.2  1.643517E-06
  12777.1  1.652370E-06
  16085.4  1.660155E-06
  20250.3  1.666969E-06
  25493.7  1.672904E-06
  32094.6  1.678052E-06
  40404.8  1.682498E-06
  50866.6  1.686321E-06
  64037.2  1.689597E-06
  80618.1  1.692394E-06

constant used in muon Nuc. int. sampling
  1.000000000000000E-003  .100000000000000  .200000000000000  35.7250825940993  89737.3502326772  1.000000000000000E-002  101  18  35  89737.3502326772

StdRock 
Muon Nuc. Int. total X-sec. table (Prob./X0) upto E=  89737.3502326773 GeV
  35.7251  8.741728E-05
  44.9752  9.675374E-05
  56.6204  1.060730E-04
  71.2809  1.162976E-04
  89.7374  1.253309E-04
  112.973  1.369306E-04
  142.224  1.478069E-04
  179.050  1.588777E-04
  225.410  1.708346E-04
  283.774  1.826508E-04
  357.251  1.955939E-04
  449.752  2.069192E-04
  566.204  2.215033E-04
  712.809  2.351754E-04
  897.373  2.339438E-04
  1129.73  2.274199E-04
  1422.24  2.249598E-04
  1790.50  2.235758E-04
  2254.10  2.223598E-04
  2837.74  2.213690E-04
  3572.51  2.206637E-04
  4497.52  2.202845E-04
  5662.04  2.201895E-04
  7128.09  2.203790E-04
  8973.74  2.209355E-04
  11297.3  2.219599E-04
  14222.4  2.234918E-04
  17905.0  2.252860E-04
  22541.0  2.272827E-04
  28377.4  2.295004E-04
  35725.1  2.319669E-04
  44975.2  2.347115E-04
  56620.4  2.377583E-04
  71280.9  2.409725E-04
  89737.4  2.442914E-04

  5.886193566086260E-002 = power of energy dependence at higher energies
StdRock 
dE/dx(v<vmin)/Emu (/(g/cm2))by muon Nuc. int
  35.7251  .000000
  44.9752  .000000
  56.6204  .000000
  71.2809  .000000
  89.7374  .000000
  112.973  .000000
  142.224  .000000
  179.050  .000000
  225.410  .000000
  283.774  .000000
  357.251  .000000
  449.752  .000000
  566.204  .000000
  712.809  .000000
  897.373  5.275060E-10
  1129.73  1.126590E-09
  1422.24  1.470248E-09
  1790.50  1.717782E-09
  2254.10  1.914537E-09
  2837.74  2.069457E-09
  3572.51  2.185427E-09
  4497.52  2.274321E-09
  5662.04  2.337791E-09
  7128.09  2.382024E-09
  8973.74  2.410768E-09
  11297.3  2.421832E-09
  14222.4  2.418023E-09
  17905.0  2.411348E-09
  22541.0  2.404131E-09
  28377.4  2.396089E-09
  35725.1  2.386934E-09
  44975.2  2.376154E-09
  56620.4  2.363563E-09
  71280.9  2.354265E-09
  89737.4  2.349905E-09

 -1.258434727929770E-002 = power of energy dependence at higher energies
StdRock 
dE/dx(v<vmax)/Emu (/(g/cm2))by muon Nuc. int
  35.7251  3.920826E-07
  44.9752  3.932116E-07
  56.6204  3.935007E-07
  71.2809  3.933788E-07
  89.7374  3.930063E-07
  112.973  3.928329E-07
  142.224  3.929475E-07
  179.050  3.935038E-07
  225.410  3.946478E-07
  283.774  3.964455E-07
  357.251  3.988681E-07
  449.752  4.018771E-07
  566.204  4.054285E-07
  712.809  4.094773E-07
  897.373  4.139356E-07
  1129.73  4.187606E-07
  1422.24  4.239066E-07
  1790.50  4.293159E-07
  2254.10  4.349432E-07
  2837.74  4.407487E-07
  3572.51  4.466976E-07
  4497.52  4.527601E-07
  5662.04  4.589106E-07
  7128.09  4.651277E-07
  8973.74  4.713931E-07
  11297.3  4.776919E-07
  14222.4  4.840113E-07
  17905.0  4.903410E-07
  22541.0  4.966724E-07
  28377.4  5.029986E-07
  35725.1  5.093137E-07
  44975.2  5.156133E-07
  56620.4  5.218935E-07
  71280.9  5.281514E-07
  89737.4  5.343846E-07

  5.136034537908154E-002 = power of energy dependence at higher energies
muon nuc. int.  sampling table
   -1.66761   -1.40349   -1.20870   -1.07519    -.97568    -.89743    -.83378
    -.78061    -.73521    -.69576    -.66099    -.62999    -.60205    -.57668
    -.55346    -.53207    -.51226    -.49382    -.47658    -.46039    -.44513
    -.43074    -.41717    -.40433    -.39216    -.38059    -.36957    -.35906
    -.34901    -.33939    -.33017    -.32131    -.31279    -.30458    -.29667
    -.28903    -.28164    -.27450    -.26759    -.26089    -.25438    -.24807
    -.24193    -.23596    -.23015    -.22450    -.21898    -.21360    -.20835
    -.20322    -.19821    -.19330    -.18851    -.18381    -.17921    -.17470
    -.17028    -.16594    -.16168    -.15749    -.15338    -.14933    -.14535
    -.14143    -.13757    -.13377    -.13002    -.12632    -.12267    -.11906
    -.11550    -.11198    -.10849    -.10504    -.10162    -.09824    -.09487
    -.09154    -.08822    -.08493    -.08165    -.07838    -.07512    -.07186
    -.06861    -.06535    -.06208    -.05880    -.05550    -.05216    -.04879
    -.04536    -.04187    -.03830    -.03455    -.03070    -.02642    -.02153
    -.01751    -.01235    -.00129

   -1.86761   -1.56772   -1.35167   -1.20321   -1.09238   -1.00549    -.93487
    -.87579    -.82522    -.78117    -.74222    -.70736    -.67584    -.64708
    -.62074    -.59658    -.57432    -.55369    -.53450    -.51656    -.49974
    -.48391    -.46898    -.45485    -.44144    -.42870    -.41656    -.40496
    -.39387    -.38325    -.37305    -.36325    -.35382    -.34473    -.33596
    -.32749    -.31930    -.31136    -.30367    -.29621    -.28897    -.28193
    -.27508    -.26842    -.26192    -.25559    -.24942    -.24339    -.23750
    -.23174    -.22610    -.22059    -.21519    -.20990    -.20471    -.19961
    -.19462    -.18971    -.18489    -.18015    -.17548    -.17089    -.16637
    -.16192    -.15753    -.15320    -.14893    -.14471    -.14054    -.13643
    -.13236    -.12833    -.12434    -.12039    -.11648    -.11259    -.10874
    -.10491    -.10111    -.09732    -.09355    -.08979    -.08604    -.08230
    -.07856    -.07481    -.07104    -.06727    -.06346    -.05962    -.05574
    -.05179    -.04777    -.04364    -.03940    -.03493    -.03027    -.02462
    -.01921    -.01389    -.00081

   -2.06761   -1.73228   -1.49465   -1.33087   -1.20862   -1.11285   -1.03479
    -.96922    -.91285    -.86348    -.81966    -.78074    -.74586    -.71433
    -.68562    -.65930    -.63504    -.61256    -.59164    -.57209    -.55375
    -.53649    -.52020    -.50478    -.49014    -.47622    -.46295    -.45027
    -.43814    -.42650    -.41533    -.40458    -.39424    -.38425    -.37462
    -.36529    -.35627    -.34753    -.33905    -.33081    -.32281    -.31502
    -.30744    -.30006    -.29285    -.28582    -.27895    -.27224    -.26568
    -.25926    -.25296    -.24680    -.24075    -.23482    -.22900    -.22329
    -.21768    -.21217    -.20675    -.20142    -.19618    -.19102    -.18595
    -.18094    -.17601    -.17114    -.16634    -.16160    -.15691    -.15228
    -.14771    -.14318    -.13869    -.13425    -.12985    -.12548    -.12115
    -.11684    -.11257    -.10831    -.10408    -.09986    -.09565    -.09144
    -.08724    -.08303    -.07882    -.07458    -.07032    -.06602    -.06168
    -.05727    -.05278    -.04819    -.04344    -.03853    -.03329    -.02780
    -.02073    -.01505    -.00051

   -2.26761   -1.89698   -1.63737   -1.45780   -1.32392   -1.21859   -1.13224
   -1.05920    -.99628    -.94190    -.89426    -.85200    -.81413    -.77990
    -.74873    -.72015    -.69380    -.66938    -.64663    -.62537    -.60541
    -.58662    -.56886    -.55205    -.53607    -.52087    -.50636    -.49248
    -.47919    -.46643    -.45417    -.44236    -.43097    -.41999    -.40938
    -.39914    -.38922    -.37963    -.37032    -.36129    -.35252    -.34399
    -.33569    -.32761    -.31974    -.31205    -.30455    -.29723    -.29007
    -.28306    -.27621    -.26950    -.26292    -.25647    -.25014    -.24393
    -.23783    -.23183    -.22593    -.22013    -.21443    -.20881    -.20327
    -.19781    -.19243    -.18712    -.18187    -.17669    -.17157    -.16651
    -.16151    -.15655    -.15165    -.14678    -.14196    -.13718    -.13243
    -.12771    -.12303    -.11836    -.11372    -.10909    -.10447    -.09986
    -.09525    -.09063    -.08600    -.08136    -.07668    -.07197    -.06720
    -.06237    -.05745    -.05241    -.04723    -.04184    -.03616    -.03008
    -.02238    -.01600    -.00032

   -2.46761   -2.06163   -1.77956   -1.58385   -1.43756   -1.32161   -1.22567
   -1.14531   -1.07713   -1.01824    -.96662    -.92083    -.87977    -.84264
    -.80879    -.77774    -.74908    -.72249    -.69771    -.67450    -.65270
    -.63214    -.61272    -.59436    -.57695    -.56041    -.54466    -.52963
    -.51526    -.50149    -.48828    -.47558    -.46337    -.45159    -.44023
    -.42925    -.41863    -.40834    -.39836    -.38869    -.37928    -.37014
    -.36124    -.35258    -.34413    -.33589    -.32784    -.31998    -.31230
    -.30478    -.29742    -.29021    -.28315    -.27622    -.26942    -.26274
    -.25618    -.24973    -.24339    -.23715    -.23101    -.22496    -.21899
    -.21312    -.20732    -.20159    -.19594    -.19036    -.18484    -.17938
    -.17398    -.16863    -.16334    -.15809    -.15288    -.14772    -.14259
    -.13749    -.13243    -.12738    -.12236    -.11736    -.11237    -.10739
    -.10240    -.09741    -.09241    -.08739    -.08234    -.07725    -.07210
    -.06689    -.06158    -.05615    -.05056    -.04475    -.03867    -.03209
    -.02409    -.01674    -.00020

   -2.66761   -2.22604   -1.92083   -1.70848   -1.54862   -1.42050   -1.31588
   -1.22904   -1.15532   -1.09159   -1.03567    -.98599    -.94139    -.90100
    -.86412    -.83022    -.79896    -.77006    -.74322    -.71819    -.69476
    -.67275    -.65201    -.63240    -.61383    -.59619    -.57940    -.56338
    -.54806    -.53340    -.51933    -.50582    -.49282    -.48029    -.46820
    -.45652    -.44523    -.43429    -.42369    -.41340    -.40341    -.39370
    -.38424    -.37504    -.36607    -.35731    -.34877    -.34042    -.33226
    -.32428    -.31647    -.30882    -.30132    -.29396    -.28674    -.27965
    -.27269    -.26585    -.25912    -.25249    -.24598    -.23955    -.23323
    -.22699    -.22083    -.21476    -.20876    -.20283    -.19696    -.19116
    -.18542    -.17974    -.17411    -.16852    -.16298    -.15749    -.15203
    -.14660    -.14120    -.13583    -.13048    -.12514    -.11982    -.11450
    -.10918    -.10386    -.09852    -.09316    -.08776    -.08232    -.07682
    -.07125    -.06557    -.05977    -.05380    -.04760    -.04109    -.03409
    -.02601    -.01743    -.00013

   -2.86761   -2.39006   -2.06099   -1.83115   -1.65606   -1.51634   -1.40355
   -1.30981   -1.23010   -1.16105   -1.10033   -1.04627    -.99769    -.95393
    -.91422    -.87794    -.84461    -.81382    -.78525    -.75863    -.73373
    -.71035    -.68834    -.66756    -.64788    -.62920    -.61143    -.59449
    -.57830    -.56282    -.54798    -.53372    -.52002    -.50682    -.49410
    -.48182    -.46994    -.45845    -.44732    -.43652    -.42604    -.41585
    -.40595    -.39630    -.38689    -.37772    -.36876    -.36001    -.35145
    -.34308    -.33489    -.32685    -.31898    -.31126    -.30368    -.29623
    -.28891    -.28172    -.27464    -.26767    -.26080    -.25403    -.24736
    -.24078    -.23429    -.22787    -.22153    -.21527    -.20907    -.20294
    -.19686    -.19085    -.18488    -.17897    -.17310    -.16727    -.16148
    -.15572    -.14999    -.14429    -.13861    -.13294    -.12728    -.12163
    -.11597    -.11031    -.10463    -.09892    -.09318    -.08739    -.08153
    -.07559    -.06955    -.06337    -.05702    -.05043    -.04350    -.03608
    -.02795    -.01809    -.00008

   -3.00000   -2.47547   -2.13092   -1.88764   -1.70111   -1.55569   -1.43796
   -1.33975   -1.25588   -1.18310   -1.11958   -1.06351   -1.01351    -.96854
    -.92778    -.89059    -.85646    -.82497    -.79579    -.76863    -.74325
    -.71947    -.69709    -.67600    -.65604    -.63713    -.61916    -.60204
    -.58570    -.57006    -.55508    -.54069    -.52686    -.51354    -.50070
    -.48830    -.47630    -.46470    -.45345    -.44254    -.43194    -.42164
    -.41162    -.40186    -.39234    -.38306    -.37400    -.36514    -.35648
    -.34801    -.33972    -.33159    -.32362    -.31580    -.30812    -.30058
    -.29317    -.28588    -.27871    -.27165    -.26469    -.25783    -.25107
    -.24440    -.23782    -.23132    -.22489    -.21854    -.21225    -.20603
    -.19987    -.19377    -.18772    -.18172    -.17576    -.16984    -.16397
    -.15812    -.15231    -.14651    -.14074    -.13499    -.12924    -.12350
    -.11775    -.11200    -.10622    -.10043    -.09459    -.08870    -.08275
    -.07672    -.07058    -.06430    -.05784    -.05115    -.04411    -.03658
    -.02797    -.01880    -.00005

   -3.00000   -2.43957   -2.08987   -1.83972   -1.65421   -1.50885   -1.39034
   -1.29216   -1.20938   -1.13835   -1.07652   -1.02206    -.97359    -.93009
    -.89074    -.85491    -.82211    -.79189    -.76389    -.73785    -.71352
    -.69071    -.66925    -.64900    -.62984    -.61167    -.59438    -.57791
    -.56218    -.54713    -.53270    -.51885    -.50554    -.49271    -.48034
    -.46839    -.45684    -.44566    -.43483    -.42432    -.41411    -.40419
    -.39453    -.38513    -.37596    -.36702    -.35830    -.34977    -.34144
    -.33328    -.32529    -.31747    -.30980    -.30228    -.29489    -.28764
    -.28052    -.27351    -.26661    -.25983    -.25315    -.24656    -.24007
    -.23366    -.22734    -.22110    -.21494    -.20884    -.20282    -.19686
    -.19095    -.18510    -.17931    -.17356    -.16786    -.16220    -.15658
    -.15099    -.14543    -.13989    -.13437    -.12887    -.12338    -.11790
    -.11242    -.10692    -.10141    -.09588    -.09031    -.08470    -.07903
    -.07327    -.06742    -.06143    -.05527    -.04888    -.04218    -.03498
    -.02657    -.01814    -.00003

   -3.00000   -2.42914   -2.06538   -1.81269   -1.62380   -1.47635   -1.35842
   -1.26145   -1.17997   -1.11032   -1.04991    -.99689    -.94977    -.90749
    -.86924    -.83439    -.80243    -.77297    -.74567    -.72026    -.69652
    -.67425    -.65330    -.63352    -.61481    -.59705    -.58016    -.56406
    -.54869    -.53397    -.51987    -.50633    -.49331    -.48076    -.46867
    -.45698    -.44569    -.43475    -.42416    -.41388    -.40389    -.39419
    -.38474    -.37555    -.36659    -.35785    -.34931    -.34098    -.33282
    -.32485    -.31705    -.30940    -.30190    -.29455    -.28733    -.28025
    -.27328    -.26644    -.25971    -.25308    -.24655    -.24012    -.23378
    -.22753    -.22136    -.21527    -.20926    -.20331    -.19744    -.19162
    -.18586    -.18016    -.17451    -.16891    -.16336    -.15784    -.15236
    -.14692    -.14150    -.13611    -.13074    -.12539    -.12004    -.11471
    -.10937    -.10403    -.09867    -.09329    -.08787    -.08241    -.07689
    -.07130    -.06560    -.05978    -.05379    -.04758    -.04106    -.03406
    -.02581    -.01775    -.00002

   -3.00000   -2.41047   -2.03832   -1.78033   -1.59005   -1.44412   -1.32806
   -1.23321   -1.15388   -1.08612   -1.02732    -.97560    -.92961    -.88831
    -.85094    -.81687    -.78562    -.75680    -.73009    -.70522    -.68197
    -.66016    -.63964    -.62027    -.60193    -.58453    -.56798    -.55220
    -.53712    -.52270    -.50887    -.49559    -.48282    -.47052    -.45866
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