# ************************************************ 
#     This table  has been made by using ../../Data/BaseM/sp 
#     with Bremsstrahlung formula: # 1
#     and  Pair creation  formula: # 1.
#     Tue Apr 20 20:30:00 GMT+0900 1999 by KASAHARA Katsuaki using
#     version epics.uv5.00  
# 
#name   Format    very thin H atom for 'sp'
sp 	1
#
#  Elem	 rho(g/cm^3)	Gas/Solid(1/0)  refl.index   Birks c

1         1.d-10        1                   1.       0 0 0
# 	Z	A  	N
	1	1.008	1
 Excitation (Ionization) potential =  18.70 eV
 radation length=  630406020688.942 cm  63.0406020688942 g/cm^2
 <Aeff>=  1.00800000000000 <Zeff=>  1.00000000000000 <Z2/A>=   .992063492063492
 plasma energy=  2.870142300548323E-013 GeV no density=  59743419642857.1 /cm^3
 <Z2eff=>  1.00000000000000 <Z/A>=  .992063492063492
Migdal s1=  2.986055122577562E-005
 Conversion factors:
 g/cm^2 to cm=  10000000000.0000
 mb to /(g/cm2)=  5.974341964285714E-004 mb to /cm=  5.974341964285714E-014 mb to /X0=  3.766261143940313E-002
 If a comound is specified as an Atom, use the
 following instead:   5.974341964285714E-004  5.974341964285714E-014  3.766261143940313E-002
 pi x Re**2 * N* Z /A *X0g  = 0.15 Z/A*X0g=  9.39559027266189
 media.A, Z, Z^2=  1.00800000000000  1.00000000000000  1.00000000000000

 **** Sternheimers consts
 a, b, c =  .152380959618659  21.1025882978312 -23.1701155076066
 x0, x1 =  5.05345777148766  5.00000000000000
 sa, xa =  694.587082777015  5.03042027274426
 minimum dEdx_restricted=  3.592361336280170E-003 GeV/(g/cm^2)  with Tcut=  1.000000000000000E-004 GeV

 **** photoelectric consts
b0, b1, b2=  1.04404214957152  1.88092469266534  2.05644418387278
fa, a, p=  1.08280444146691  5.109864999997711E-004  1.065194267042343E-007
l, ek=  7.96875000000000  1.360000000000000E-008

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

sp      
Seltzer Brems total X-sec. table upto E=  .100000000000000 GeV
  7.110000E-04  2.09444
  9.104920E-04  2.36087
  1.165957E-03  2.82815
  1.493101E-03  3.41828
  1.912034E-03  4.08117
  2.448512E-03  4.81302
  3.135514E-03  5.59216
  4.015274E-03  6.37727
  5.141878E-03  7.15544
  6.584583E-03  7.92462
  8.432082E-03  8.69070
  1.079795E-02  9.33163
  1.382763E-02  10.0642
  1.770738E-02  10.7700
  2.267571E-02  11.4650
  2.903805E-02  12.1481
  3.718552E-02  12.8055
  4.761902E-02  13.4263
  6.097994E-02  13.9935
  7.808965E-02  14.5269
  .100000  11.3085

Selzter Brems sampling table; log(v/vmin)/(1-u)
    2.37018    2.25687    2.17108    2.10264    2.04545    1.99671    1.95417
    1.91700    1.88316    1.85242    1.82486    1.80046    1.77758    1.75615
    1.73618    1.71757    1.70021    1.68402    1.66911    1.65485

    2.82757    2.69006    2.58870    2.50833    2.44235    2.38500    2.33548
    2.29184    2.25056    2.21235    2.17737    2.14557    2.11668    2.09036
    2.06638    2.04450    2.02449    2.00606    1.98923    1.97352

    3.16919    3.01451    2.89944    2.80901    2.73474    2.67114    2.61141
    2.55739    2.50950    2.46724    2.42988    2.39676    2.36726    2.34088
    2.31716    2.29573    2.27629    2.25864    2.24242    2.22771

    3.47362    3.30206    3.17641    3.07852    2.99563    2.91937    2.85283
    2.79576    2.74679    2.70456    2.66786    2.63573    2.60742    2.58229
    2.55990    2.53980    2.52177    2.50544    2.49042    2.47705

    3.76670    3.58332    3.44920    3.34514    3.25616    3.17931    3.11334
    3.05669    3.00791    2.96564    2.92880    2.89653    2.86804    2.84283
    2.82032    2.80023    2.78222    2.76589    2.75111    2.73793

    4.05359    3.85904    3.71657    3.60334    3.50701    3.42590    3.35787
    3.30053    3.25189    3.21026    3.17437    3.14321    3.11596    3.09202
    3.07086    3.05208    3.03535    3.02032    3.00681    2.99481

    4.33721    4.13371    3.98406    3.86183    3.75983    3.67584    3.60667
    3.54923    3.50104    3.46025    3.42541    3.39543    3.36943    3.34676
    3.32686    3.30937    3.29386    3.28014    3.26793    3.25685

    4.62332    4.41394    4.25660    4.12597    4.01879    3.93214    3.86185
    3.80421    3.75643    3.71632    3.68240    3.65345    3.62853    3.60698
    3.58825    3.57184    3.55753    3.54489    3.53354    3.52367

    4.91245    4.69974    4.53482    4.39560    4.28267    4.19271    4.12070
    4.06239    4.01450    3.97473    3.94138    3.91317    3.88913    3.86846
    3.85067    3.83524    3.82179    3.80997    3.79966    3.79063

    5.20069    4.98502    4.81299    4.66500    4.54590    4.45229    4.37831
    4.31903    4.27088    4.23131    4.19838    4.17077    4.14748    4.12762
    4.11063    4.09602    4.08342    4.07245    4.06292    4.05466

    5.48651    5.26691    5.08687    4.92932    4.80381    4.70657    4.63072
    4.57067    4.52241    4.48309    4.45074    4.42383    4.40127    4.38222
    4.36613    4.35233    4.34056    4.33042    4.32164    4.31407

    5.78450    5.56640    5.38922    5.23334    5.10070    4.99234    4.90527
    4.83535    4.77885    4.73277    4.69493    4.66360    4.63750    4.61557
    4.59706    4.58143    4.56807    4.55672    4.54687    4.53846

    6.06795    5.84657    5.66258    5.49783    5.35805    5.24539    5.15618
    5.08551    5.02909    4.98359    4.94659    4.91628    4.89119    4.87039
    4.85301    4.83834    4.82605    4.81550    4.80662    4.79905

    6.34749    6.12208    5.93044    5.75732    5.61214    5.49712    5.40749
    5.33741    5.28211    5.23799    5.20251    5.17365    5.15005    5.13062
    5.11453    5.10108    5.08988    5.08048    5.07249    5.06580

    6.62420    6.39424    6.19431    6.01293    5.86318    5.74672    5.65737
    5.58840    5.53460    5.49210    5.45824    5.43100    5.40893    5.39093
    5.37614    5.36389    5.35384    5.34541    5.33839    5.33242

    6.89727    6.66209    6.45321    6.26371    6.11006    5.99282    5.90423
    5.83671    5.78457    5.74384    5.71168    5.68608    5.66550    5.64887
    5.63532    5.62431    5.61515    5.60774    5.60145    5.59629

    7.16775    6.92702    6.70910    6.51226    6.35589    6.23877    6.15154
    6.08582    6.03561    5.99678    5.96641    5.94243    5.92340    5.90813
    5.89583    5.88585    5.87771    5.87115    5.86577    5.86114

    7.43652    7.19050    6.96431    6.76172    6.60409    6.48803    6.40273
    6.33918    6.29114    6.25432    6.22580    6.20354    6.18597    6.17205
    6.16094    6.15200    6.14484    6.13897    6.13443    6.13037

    7.70655    7.45636    7.22348    7.01700    6.85939    6.74515    6.66217
    6.60102    6.55524    6.52051    6.49388    6.47328    6.45724    6.44456
    6.43465    6.42671    6.42038    6.41531    6.41130    6.40786

    7.97569    7.72216    7.48405    7.27552    7.11919    7.00744    6.92719
    6.86862    6.82522    6.79263    6.76788    6.74893    6.73429    6.72294
    6.71403    6.70709    6.70156    6.69712    6.69366    6.69080

    8.65386    8.55706    8.49558    8.45491    8.42732    8.40826    8.39492
    8.38552    8.37884    8.37405    8.37060    8.36814    8.36633    8.36502
    8.36402    8.36330    8.36277    8.36231    8.36200    5.24869


Seltzer Brems sampling tbl in B; log(v/vmin)
  136.22596  136.71982  129.07417  108.68660   84.10521   64.23879   50.15240
   40.41367   33.52265   28.50522   24.69935   21.67945   19.20904   17.14498
   15.40130   13.89180   12.55611   11.37417   10.33549    9.42440    8.62564

  384.36468  380.79929  314.77847  217.45585  147.99406  105.97424   80.39269
   64.09430   53.00273   44.79268   38.39774   33.28748   29.00351   25.33782
   22.22964   19.61188   17.40942   15.54968   13.96809   12.60876   11.42803

  770.15046  729.38782  510.79134  311.71002  201.14299  141.27240  106.67303
   84.98783   69.87239   58.51682   49.34445   41.79105   35.63213   30.64928
   26.61308   23.30947   20.57821   18.29453   16.36725   14.71974   13.29728

 1228.38748 1125.31725  676.07741  381.51048  239.73918  167.16386  126.17482
  100.46241   81.89077   67.24087   55.62086   46.53166   39.41633   33.80133
   29.29964   25.64191   22.62399   20.10672   17.98155   16.16989   14.60863

 1702.35042 1504.42716  795.76959  427.67852  264.47352  183.56687  138.45213
  109.51263   87.88668   71.17524   58.47514   48.81512   41.36693   35.51512
   30.84094   27.03822   23.89804   21.27328   19.05512   17.16003   15.52362

 2135.13717 1781.51461  866.03741  453.71340  278.21150  192.58411  144.76339
  112.92324   89.47067   72.11883   59.25972   49.59115   42.16342   36.33075
   31.65736   27.84435   24.68569   22.03458   19.78461   17.85473   16.18344

 2579.59089 1966.55704  900.14851  466.04815  284.68552  196.48170  146.15299
  112.41682   88.54545   71.40789   58.86850   49.47451   42.25272   36.56797
   31.99554   28.24947   25.13296   22.50546   20.26636   18.33903   16.66575

 3015.10615 2039.85740  899.49017  465.20597  284.39070  195.38011  143.17265
  108.97216   85.71678   69.37348   57.50563   48.60806   41.74442   36.31353
   31.92109   28.30418   25.27867   22.71686   20.52488   18.63137   16.98175

 3456.23326 2032.70307  875.94692  454.38503  279.02664  190.68760  137.84209
  104.24027   81.99478   66.62523   55.55183   47.26377   40.85318   35.75404
   31.60361   28.15860   25.25328   22.77349   20.63823   18.78507   17.16715

 3887.92052 1970.44978  837.31622  437.11512  269.17131  182.59294  131.00152
   98.94369   78.01932   63.67950   53.39445   45.70888   39.75537   35.00283
   31.11134   27.85825   25.09348   22.71577   20.65498   18.85803   17.28504

 4313.14555 1875.08371  789.21596  416.31434  257.04747  172.61220  123.44367
   93.38469   73.95030   60.68493   51.19240   44.09439   38.58141   34.16346
   30.52435   27.46295   24.84523   22.58204   20.61024   18.88412   17.36838

 4670.49867 1810.76765  757.40057  393.63763  242.25781  161.12144  115.00232
   87.26361   69.41957   57.28267   48.60649   42.12238   37.07620   33.01683
   29.65778   26.81607   24.37044   22.24288   20.38029   18.74172   17.30009

 5070.83178 1699.93184  707.80116  368.54284  225.82855  149.93874  107.27325
   81.80146   65.44953   54.33619   46.39466   40.45383   35.82316   32.08383
   28.97575   26.32998   24.03861   22.03276   20.26683   18.70709   17.33029

 5450.88598 1589.16298  657.56510  344.20817  209.09876  138.80569   99.80153
   76.56281   61.66030   51.51802   44.26917   38.84910   34.61327   31.18060
   28.31457   25.85979   23.72036   21.83469   20.16518   18.68358   17.37132

 5823.38776 1481.74118  608.58800  321.14222  194.42339  128.78915   93.00487
   71.75227   58.14711   48.87610   42.26172   37.31742   33.44937   30.30746
   27.67104   25.40207   23.41017   21.64375   20.06990   18.66650   17.41891

 6187.40590 1387.23425  566.27785  299.84222  181.15660  119.42317   86.67780
   67.29046   54.90079   46.44793   40.41265   35.89913   32.36782   29.49093
   27.06784   24.97358   23.12495   21.47471   19.99535   18.66891   17.48476

 6535.51473 1299.93625  528.48413  276.18260  167.02082  110.40102   80.65291
   63.07640   51.83731   44.15365   38.66443   34.55500   31.33844   28.71298
   26.49310   24.56705   22.85744   21.32161   19.93520   18.68441   17.56282

 6863.17006 1225.58528  496.29699  252.50896  151.23729  101.27000   74.76934
   59.01266   48.92425   41.97695   36.99864   33.26895   30.34865   27.96456
   25.94444   24.18182   22.60763   21.18275   19.88675   18.70927   17.64741

 7162.83708 1154.83922  464.77684  230.60468  136.35079   92.63368   69.18320
   55.17292   46.14910   39.90610   35.40245   32.02508   29.37315   27.21404
   25.38834   23.78586   22.34467   21.02905   19.82208   18.71682   17.71408

 7443.78871 1088.46764  429.51156  210.24956  123.96955   85.02572   64.22857
   51.71651   43.58680   37.94510   33.85788   30.81298   28.42907   26.49100
   24.85256   23.40634   22.09527   20.88676   19.76631   18.73031   17.78349

 5798.51943  300.31004  181.62411  107.62259   72.17565   53.42757   42.38682
   35.33293   30.51527   27.07069   24.51338   22.55450   21.01287   19.76453
   18.72110   17.81535   16.99732   16.23588   15.51321   14.82321   14.16734


 constant for Brems sampling table at low energies
  150.000000000000  1.000000000000000E-004  1.000000000000000E-002 -2.00000000000000  1134999990.46326  150.000000000000  .100000000000000  1.00000000000000  41  4.736842105263160E-002  .104402281476392  .104402281476392  .000000000000000  .562341325190349  2.811706625951750E-002  41  20  21

sp      
Brems total X-sec. table upto E=  150.000000000000 GeV
  1.000000E-02  4.67263
  1.271752E-02  5.20101
  1.617352E-02  5.78733
  2.056870E-02  6.38099
  2.615828E-02  6.98351
  3.326683E-02  7.57359
  4.230714E-02  8.15671
  5.380417E-02  8.72595
  6.842554E-02  9.26974
  8.702029E-02  9.79784
  .110668  8.35098
  .140742  8.71573
  .178989  9.07557
  .227630  9.43095
  .289489  9.78233
  .368158  10.1301
  .468205  10.4748
  .595441  10.8166
  .757253  11.1560
  .963038  11.4932
  1.22474  11.8286
  1.55757  12.1624
  1.98084  12.4948
  2.51914  12.8260
  3.20372  13.1562
  4.07434  13.4856
  5.18155  13.8142
  6.58964  14.1423
  8.38038  14.4698
  10.6578  14.7970
  13.5540  15.1237
  17.2374  15.4502
  21.9216  15.7765
  27.8789  16.1025
  35.4550  16.4283
  45.0900  16.7541
  57.3432  17.0797
  72.9263  17.4052
  92.7442  17.7306
  117.948  18.0560
  150.000  18.3825

Brems sampling table at low E for Small Eg
    3.77853    3.62732    3.50797    3.40727    3.31894    3.23837    3.15671
    3.07699    3.00300    2.93644    2.87743    2.82536    2.77942    2.73877
    2.70267    2.67049    2.64158    2.61569    2.59210    2.57104

    4.04468    3.89376    3.77392    3.67290    3.58539    3.50436    3.42582
    3.34960    3.27695    3.20926    3.14732    3.09131    3.04095    2.99581
    2.95538    2.91916    2.88653    2.85715    2.83055    2.80661

    4.29954    4.14534    4.02134    3.91624    3.82332    3.73431    3.64693
    3.56254    3.48349    3.41135    3.34666    3.28919    3.23832    3.19334
    3.15343    3.11797    3.08637    3.05814    3.03296    3.01011

    4.55362    4.39587    4.26741    4.15751    4.05756    3.95939    3.86279
    3.77091    3.68677    3.61175    3.54580    3.48815    3.43785    3.39380
    3.35513    3.32106    3.29095    3.26433    3.24055    3.21923

    4.80791    4.64640    4.51328    4.39788    4.28966    4.18156    4.07589
    3.97761    3.88983    3.81324    3.74710    3.69014    3.64097    3.59840
    3.56133    3.52897    3.50052    3.47556    3.45342    3.43366

    5.05911    4.89276    4.75398    4.63199    4.51407    4.39562    4.28195
    4.17904    4.08946    4.01289    3.94782    3.89243    3.84514    3.80454
    3.76950    3.73913    3.71265    3.68949    3.66901    3.65103

    5.30985    5.13843    4.99374    4.86475    4.73675    4.60870    4.48877
    4.38324    4.29347    4.21810    4.15491    4.10172    4.05669    4.01837
    3.98553    3.95723    3.93283    3.91153    3.89279    3.87659

    5.56033    5.38390    5.23362    5.09724    4.95952    4.82349    4.69959
    4.59344    4.50500    4.43178    4.37116    4.32059    4.27815    4.24226
    4.21178    4.18571    4.16330    4.14392    4.12721    4.11257

    5.81173    5.63085    5.47553    5.33188    5.18540    5.04341    4.91773
    4.81255    4.72642    4.65607    4.59834    4.55063    4.51093    4.47762
    4.44953    4.42569    4.40532    4.38785    4.37276    4.35988

    6.06091    5.87529    5.71526    5.56441    5.41042    5.26479    5.13941
    5.03669    4.95378    4.88681    4.83237    4.78773    4.75088    4.72027
    4.69456    4.67296    4.65462    4.63897    4.62567    4.61431

    6.55395    6.45577    6.38725    6.33787    6.30138    6.27396    6.25307
    6.23698    6.22450    6.21476    6.20709    6.20103    6.19621    6.19239
    6.18933    6.18691    6.18493    6.18328    6.18208    6.18088

    6.80888    6.71156    6.64414    6.59596    6.56072    6.53448    6.51468
    6.49960    6.48803    6.47907    6.47211    6.46666    6.46243    6.45903
    6.45634    6.45421    6.45259    6.45118    6.45019    6.44918

    7.06188    6.96523    6.89879    6.85173    6.81763    6.79248    6.77372
    6.75958    6.74881    6.74060    6.73426    6.72936    6.72553    6.72256
    6.72026    6.71845    6.71693    6.71586    6.71493    6.71415

    7.31299    7.21683    7.15128    7.10528    7.07225    7.04815    7.03034
    7.01705    7.00704    6.99948    6.99372    6.98930    6.98590    6.98330
    6.98127    6.97966    6.97841    6.97738    6.97668    6.97605

    7.56224    7.46647    7.40173    7.35673    7.32473    7.30162    7.28471
    7.27222    7.26292    7.25595    7.25070    7.24672    7.24371    7.24141
    7.23960    7.23826    7.23716    7.23633    7.23569    7.23517

    7.80973    7.71425    7.65031    7.60628    7.57527    7.55309    7.53704
    7.52529    7.51664    7.51022    7.50546    7.50188    7.49919    7.49713
    7.49559    7.49440    7.49347    7.49273    7.49232    7.49179

    8.05556    7.96034    7.89716    7.85408    7.82404    7.80277    7.78751
    7.77648    7.76845    7.76255    7.75818    7.75496    7.75256    7.75076
    7.74938    7.74836    7.74763    7.74692    7.74648    7.74617

    8.29988    8.20487    8.14248    8.10033    8.07123    8.05085    8.03636
    8.02600    8.01854    8.01310    8.00913    8.00624    8.00410    8.00250
    8.00131    8.00040    7.99981    7.99923    7.99882    7.99856

    8.54280    8.44803    8.38643    8.34522    8.31706    8.29751    8.28378
    8.27405    8.26711    8.26212    8.25851    8.25589    8.25399    8.25261
    8.25156    8.25080    8.25022    8.24975    8.24943    8.24921

    8.78447    8.68999    8.62918    8.58892    8.56168    8.54296    8.52994
    8.52081    8.51437    8.50979    8.50652    8.50417    8.50246    8.50124
    8.50032    8.49967    8.49920    8.49873    8.49862    8.49832

    9.02506    8.93089    8.87091    8.83159    8.80527    8.78735    8.77502
    8.76647    8.76048    8.75629    8.75332    8.75119    8.74970    8.74861
    8.74780    8.74724    8.74677    8.74649    8.74623    8.74611

    9.26469    9.17089    9.11177    9.07341    9.04797    9.03085    9.01918
    9.01117    9.00563    9.00176    8.99907    8.99718    8.99581    8.99486
    8.99418    8.99372    8.99329    8.99312    8.99291    8.99274

    9.50350    9.41013    9.35191    9.31450    9.28994    9.27358    9.26254
    9.25505    9.24991    9.24639    9.24395    9.24225    9.24104    9.24020
    9.23962    9.23918    9.23884    9.23872    9.23850    9.23838

    9.74163    9.64875    9.59143    9.55498    9.53130    9.51567    9.50525
    9.49824    9.49349    9.49026    9.48805    9.48652    9.48545    9.48474
    9.48420    9.48384    9.48354    9.48340    9.48313    9.48316

    9.97918    9.88684    9.83049    9.79499    9.77216    9.75726    9.74742
    9.74087    9.73647    9.73351    9.73151    9.73017    9.72920    9.72857
    9.72814    9.72781    9.72758    9.72741    9.72741    9.72723

   10.21626   10.12454   10.06914   10.03462   10.01262    9.99842    9.98913
    9.98301    9.97895    9.97625    9.97446    9.97323    9.97241    9.97184
    9.97144    9.97116    9.97101    9.97078    9.97077    9.97069

   10.45295   10.36191   10.30750   10.27393   10.25275   10.23923   10.23046
   10.22478   10.22103   10.21857   10.21692   10.21584   10.21509   10.21459
   10.21429   10.21407   10.21390   10.21379   10.21353   10.21363

   10.68936   10.59905   10.54562   10.51301   10.49265   10.47976   10.47151
   10.46621   10.46276   10.46052   10.45903   10.45804   10.45742   10.45698
   10.45669   10.45646   10.45638   10.45620   10.45603   10.45614

   10.92552   10.83600   10.78359   10.75192   10.73235   10.72008   10.71233
   10.70738   10.70419   10.70214   10.70082   10.69994   10.69937   10.69902
   10.69874   10.69855   10.69846   10.69843   10.69848   10.69829

   11.16153   11.07282   11.02144   10.99069   10.97190   10.96024   10.95294
   10.94832   10.94540   10.94355   10.94233   10.94158   10.94105   10.94074
   10.94052   10.94038   10.94028   10.94016   10.94015   10.94012

   11.39742   11.30957   11.25921   11.22940   11.21133   11.20027   11.19341
   11.18912   11.18642   11.18472   11.18365   11.18296   11.18250   11.18223
   11.18201   11.18190   11.18183   11.18181   11.18188   11.18170

   11.63321   11.54627   11.49696   11.46802   11.45070   11.44019   11.43374
   11.42976   11.42727   11.42574   11.42477   11.42413   11.42376   11.42351
   11.42333   11.42326   11.42314   11.42313   11.59191   11.42307

   11.86899   11.78297   11.73468   11.70664   11.69004   11.68005   11.67399
   11.67029   11.66801   11.66661   11.66573   11.66520   11.66486   11.66462
   11.66448   11.66438   11.66432   10.05521    7.07478   11.66425

   12.10473   12.01967   11.97240   11.94526   11.92932   11.91985   11.91417
   11.91072   11.90864   11.90738   11.90658   11.90608   11.90580   11.90559
   11.90548   11.90540   11.90539   10.33077    7.33204   11.90528

   12.34048   12.25640   12.21018   12.18388   12.16862   12.15964   12.15430
   12.15112   12.14919   12.14804   12.14734   12.14689   12.14665   12.14646
   12.14635   12.14627   12.14629    8.10253   13.16854   12.14620

   12.57627   12.49319   12.44799   12.42254   12.40791   12.39940   12.39440
   12.39143   12.38968   12.38862   12.38801   12.38762   12.38736   12.38721
   12.38714   12.38711   12.38705    8.33936   13.57935   12.38701

   12.81210   12.73006   12.68586   12.66124   12.64723   12.63916   12.63447
   12.63173   12.63012   12.62918   12.62859   12.62826   12.62804   12.62794
   12.62783   12.62783   12.62773    8.57888   13.99607   12.62773

   13.04799   12.96698   12.92380   12.89998   12.88657   12.87894   12.87456
   12.87201   12.87053   12.86967   12.86915   12.86886   12.86869   12.86857
   12.86850   12.86842    9.03969   11.45436    8.41820   12.86839

   13.28396   13.20400   13.16181   13.13879   13.12596   13.11872   13.11461
   13.11225   13.11089   13.11012   13.10965   13.10939   13.10923   13.10915
   13.10907   13.10902    9.29509   11.80564    8.77003   13.10900

   13.52001   13.44110   13.39990   13.37764   13.36537   13.35853   13.35469
   13.35251   13.35127   13.35056   13.35015   13.34990   13.34978   13.34970
   13.34963   13.34957    9.55279   12.16113    9.13203   13.34956

   13.75671   13.67885   13.63861   13.61708   13.60535   13.59888   13.59527
   13.59324   13.59213   13.59146   13.59111   13.59090   13.59076   13.59071
   13.59064   15.53988   11.99613   15.57867   12.91540   13.59060


Brems sampling tbl at low E for large Eg
 2146.77425 1063.91220  484.34486  266.19811  167.21882  114.12486   81.86552
   61.62208   48.41137   39.40720   33.00862   28.29414   24.69868   21.87100
   19.58563   17.69328   16.09317   14.71740   13.51730   12.45950   11.52032

 2404.14591 1095.58799  493.36153  258.89611  161.40716  109.25571   77.98271
   58.70289   46.28841   37.85492   31.87202   27.47113   24.11192   21.46781
   19.32286   17.54035   16.02650   14.71783   13.56934   12.55167   11.64338

 2697.24943 1065.91476  471.84957  247.92520  153.95202  103.32546   73.91183
   55.89690   44.33859   36.49197   30.91493   26.80983   23.67032   21.19497
   19.18012   17.49693   16.06055   14.81109   13.70813   12.72461   11.84263

 3003.46370 1030.57389  446.83695  235.96091  146.82822   97.90144   70.09048
   53.24771   42.46821   35.15844   29.96064   26.13332   23.20665   20.89568
   19.00965   17.42821   16.07075   14.88343   13.82840   12.88230   12.02931

 3313.63689  992.53671  422.90035  224.23403  139.79444   92.65563   66.32624
   50.64362   40.61958   33.83106   28.99987   25.44300   22.72121   20.57061
   18.81097   17.32888   16.05126   14.92791   13.92437   13.01926   12.19901

 3616.37148  955.32643  400.17800  212.67997  132.27331   87.43541   62.60566
   48.08952   38.82735   32.56306   28.09364   24.80205   22.27653   20.27833
   18.63684   17.25031   16.04980   14.98871   14.03583   13.17180   12.38463

 3917.49242  919.78526  378.67421  200.04465  122.29664   81.51699   58.79174
   45.53345   37.05589   31.30604   27.19043   24.15304   21.81872   19.96905
   18.44710   17.15752   16.03586   15.03918   14.13889   13.31765   12.56526

 4212.80908  889.59325  360.05262  188.02012  111.88661   74.98161   54.82955
   42.93635   35.27073   30.05434   26.29201   23.49747   21.35159   19.64485
   18.24071   17.05043   16.01080   15.08085   14.23491   13.45783   12.74095

 4494.71271  852.03242  339.65802  175.07701  103.06056   69.20972   51.27125
   40.56582   33.59872   28.84914   25.41301   22.84909   20.88131   19.31036
   18.01779   16.92448   15.96745   15.10522   14.31508   13.58313   12.90281

 4768.71494  820.47001  318.37360  161.38119   95.15527   64.28555   48.10093
   38.41381   32.09042   27.74149   24.58714   22.22238   20.41951   18.98886
   17.81517   16.81888   15.94289   15.14812   14.41310   13.72562   13.08013

  242.50207  225.35510  142.02745   85.20114   57.14966   42.15123   33.31600
   27.62727   23.76157   20.99127   18.93142   17.35749   16.12206   15.13311
   14.32095   13.63623   13.03937   12.50051   11.99819   11.51955   11.05933

  254.20235  231.11780  136.98562   80.69811   54.08513   40.07409   31.82238
   26.53442   22.92824   20.34653   18.42892   16.96324   15.81864   14.90733
   14.16622   13.54487   13.00550   12.51620   12.05594   11.61181   11.17887

  265.61171  235.15691  131.20907   76.22641   51.15032   38.08859   30.41046
   25.50587   22.15052   19.74385   17.95883   16.59611   15.54035   14.70686
   14.03561   13.47800   12.99458   12.55380   12.13350   11.72159   11.31362

  276.76437  237.47330  124.97379   71.86971   48.36760   36.20415   29.10392
   24.54424   21.41785   19.18054   17.51943   16.26018   15.29136   14.53569
   13.93350   13.43846   13.00928   12.61479   12.23186   11.84927   11.46377

  287.69226  237.68639  118.47204   67.68075   45.74946   34.46531   27.88635
   23.64072   20.74335   18.65721   17.11619   15.95750   15.07436   14.39582
   13.86280   13.42799   13.05098   12.69967   12.35144   11.99525   11.62912

  298.42466  236.17831  111.89573   63.69785   43.30148   32.87448   26.73996
   22.80638   20.10928   18.17425   16.75192   15.69172   14.89446   14.29099
   13.82426   13.44825   13.12020   12.80921   12.49209   12.15900   11.80963

  308.98798  232.56833  105.37695   59.94031   41.02319   31.35296   25.70288
   22.04123   19.52782   17.73546   16.42661   15.46462   14.75169   14.22215
   13.82001   13.49879   13.21705   12.94219   12.65315   12.33977   12.00397

  319.40580  227.42926   99.01171   56.42260   38.91101   29.97792   24.71735
   21.32442   18.99281   17.34084   16.14531   15.27790   14.64729   14.18934
   13.84874   13.57972   13.34038   13.09875   12.83340   12.53661   12.21139

  329.69900  220.57092   92.88399   53.14492   36.95911   28.70771   23.82030
   20.66561   18.51599   16.99392   15.90782   15.13320   14.58366   14.19341
   13.91112   13.68998   13.48942   13.27666   13.03188   12.74832   12.43090

  339.88588  212.75678   87.05374   50.10506   35.15784   27.49915   22.99092
   20.07416   18.07862   16.69440   15.71648   15.03213   14.55826   14.23346
   14.00513   13.82807   13.66263   13.47503   13.24710   12.97370   12.66118

  349.98241  203.79653   81.54505   47.29368   33.49906   26.42744   22.22752
   19.52858   17.69839   16.44193   15.57107   14.97282   14.57226   14.30673
   14.12944   13.99302   13.85801   13.69233   13.47758   13.21087   12.90107

  360.00245  194.07203   76.38194   44.70141   31.97309   25.41011   21.54728
   19.04843   17.37465   16.23993   15.46882   14.95512   14.62186   14.41321
   14.28200   14.18222   14.07399   13.92600   13.72127   13.45889   13.14922

  369.95794  183.96506   71.56450   42.31652   30.57025   24.52170   20.91021
   18.61213   17.10083   16.08428   15.41206   14.97545   14.70581   14.55019
   14.46082   14.39366   14.30860   14.17483   13.97723   13.71607   13.40446

  379.85920  173.66662   67.09280   40.12486   29.28234   23.68037   20.35277
   18.24964   16.87630   15.97841   15.39803   15.03368   14.82278   14.71491
   14.66318   14.62528   14.55985   14.43725   14.24338   13.98121   13.66580

  389.71507  163.36765   62.95497   38.11469   28.10040   22.92168   19.83519
   17.92921   16.70669   15.91823   15.42406   15.12625   14.97029   14.90558
   14.88845   14.87501   14.82572   14.71103   14.51849   14.25329   13.93241

  399.53306  153.25904   59.15102   36.27185   27.01773   22.20366   19.41309
   17.68087   16.59144   15.90341   15.48491   15.25135   15.14458   15.11950
   15.13186   15.14086   15.10468   14.99494   14.80130   14.53086   14.20291

  409.31955  143.53165   55.64519   34.57986   26.02687   21.60171   19.02799
   17.47304   16.51810   15.92999   15.58303   15.40545   15.34318   15.35303
   15.39352   15.42077   15.39428   15.28708   15.09030   14.81313   14.47685

  419.07985  134.18557   52.42558   33.03164   25.12407   21.03583   18.71720
   17.32586   16.49243   15.99016   15.71330   15.58680   15.56487   15.60624
   15.66999   15.71265   15.69379   15.58650   15.38446   15.09882   14.75337

  428.81837  125.22084   49.48025   31.61305   24.30486   20.54342   18.46079
   17.23888   16.50811   16.08759   15.87060   15.79192   15.80595   15.87552
   15.95999   16.01557   16.00118   15.89197   15.68278   15.38759   15.03199

  438.53880  116.82827   46.77342   30.31466   23.56701   20.16277   18.27724
   17.19123   16.56502   16.21841   16.05491   16.01732   16.06397   16.15910
   16.26153   16.32691   16.31528   16.20188   15.98425   15.67861   15.31204

  448.24422  108.81714   44.30511   29.12705   22.90902   19.81484   18.12844
   17.18289   16.65712   16.37505   16.26127   16.26136   16.33653   16.45434
   16.57193   16.64572   16.63495   16.51602   16.28843   15.97128   15.59303

  457.93720  101.56895   42.03952   28.04313   22.32938   19.53821   18.03299
   17.22392   16.77819   16.56125   16.48961   16.52052   16.62366   16.76032
   16.89192   16.97149   16.95934   16.83300   16.59478   16.26518   15.87500

  467.61991   94.70223   39.97667   27.05820   21.82587   19.29277   18.00948
   17.30380   16.93417   16.76549   16.73492   16.79661   16.92163   17.07527
   17.21807   17.30215   17.28728   17.15263   16.90227   16.55970   16.15706

  477.29416   88.40773   38.08076   26.16989   21.39699   19.15633   18.01958
   17.41211   17.11292   16.99162   16.99467   17.08267   17.22929   17.39836
   17.55048   17.63722   17.61841   17.47426   17.21095   16.85487   16.43937

  486.96149   82.49472   36.35181   25.37114   21.04049   19.04953   18.06295
   17.55897   17.31430   17.23575   17.26884   17.38044   17.54410   17.72870
   17.88848   17.97620   17.95189   17.79685   17.52030   17.15005   16.72161

  496.62317   77.15394   34.77788   24.66429   20.75338   19.01039   18.13895
   17.72347   17.53819   17.49399   17.55489   17.68644   17.86739   18.06349
   18.23071   18.31860   18.28734   18.12048   17.82978   17.44525   17.00344

  506.28025   72.38539   33.32319   24.04228   20.53269   18.99844   18.26603
   17.91556   17.77830   17.76623   17.84767   18.00066   18.19663   18.40372
   18.57648   18.66279   18.62393   18.44484   18.13914   17.74005   17.28491

  515.93363   67.80759   32.01160   23.50510   20.37318   19.05079   18.40515
   18.13476   18.02826   18.04852   18.15219   18.32127   18.53179   18.74844
   18.92508   19.00934   18.96166   18.76921   18.44839   18.03420   17.56592

  525.58401   63.80202   30.80732   23.05040   20.27113   19.12667   18.59359
   18.36002   18.30004   18.34066   18.46328   18.64823   18.87033   19.09673
   19.27653   19.35715   19.29968   19.09363   18.75726   18.32797   17.84618

  535.23198   59.98719   29.72229   22.67346   20.22204   19.22426   18.79251
   18.61155   18.57512   18.63875   18.78090   18.97977   19.21353   19.44765
   19.62942   19.70625   19.63845   19.41774   19.06546   18.62088   18.12570

   18.38451   18.40601   18.38355   18.39052   18.40177   18.43945   18.47099
   18.54100   18.65535   18.80761   19.00618   19.24484   19.50866   19.76291
   19.95601   20.03449   19.96084   19.72954   19.36404   18.90644   18.39930


 constant for Brems sampling table at high energies
  11349.9999046326  1134999990.46326  9.05499585788002  50  5.000000000000000E-002  .100000000000000  90156253883675.6  5.000000000000000E-002  .200000000000000  1.00000000000000  17  .000000000000000  .668740304976422  16  15  4.458268699842813E-002  50  7.500000000000000E-002  5370266744089.58  4.00000000000000

sp      
Brems total X-sec. table with C.S+LPM upto E=  90156253883675.8 GeV
  1.135000E+09  14.7197
  1.428880E+09  14.9030
  1.798854E+09  15.2116
  2.264623E+09  15.5202
  2.850991E+09  15.8278
  3.589185E+09  16.1365
  4.518516E+09  16.4472
  5.688475E+09  16.7520
  7.161366E+09  17.0390
  9.015626E+09  17.2966
  1.135000E+10  17.5139
  1.428880E+10  17.6834
  1.798854E+10  17.8008
  2.264623E+10  17.8650
  2.850991E+10  17.8775
  3.589185E+10  17.8399
  4.518516E+10  17.7611
  5.688475E+10  17.6415
  7.161366E+10  17.4905
  9.015625E+10  17.3104
  1.135000E+11  17.1062
  1.428880E+11  16.8822
  1.798854E+11  16.6423
  2.264623E+11  16.3895
  2.850991E+11  16.1263
  3.589185E+11  15.8527
  4.518516E+11  15.5746
  5.688475E+11  15.2886
  7.161366E+11  14.9997
  9.015626E+11  14.7062
  1.135000E+12  14.4093
  1.428880E+12  14.1099
  1.798854E+12  13.8087
  2.264623E+12  13.5065
  2.850991E+12  13.2033
  3.589185E+12  12.8994
  4.518516E+12  12.5936
  5.688475E+12  12.2875
  7.161366E+12  11.9814
  9.015625E+12  11.6747
  1.135000E+13  11.3672
  1.428880E+13  11.0595
  1.798854E+13  10.7518
  2.264623E+13  10.4445
  2.850991E+13  10.1375
  3.589185E+13  9.83093
  4.518516E+13  9.52326
  5.688475E+13  9.21683
  7.161366E+13  8.90969
  9.015625E+13  8.60346

Brems with LPM sampling tbl for small Eg
     .04811     .02457     .01261     .00588     .00319     .00174     .00096
     .00053     .00030     .00017     .00010     .00006     .00004     .00002
     .00002     .00001    0.00000

     .15995     .10958     .07563     .05252     .03671     .02584     .01834
     .01315     .00906     .00518     .00523     .00314     .00340     .00226
     .00170     .00169     .00160

     .16275     .11196     .07759     .05411     .03798     .02685     .01914
     .01378     .00950     .00543     .00548     .00329     .00356     .00237
     .00308     .00308     .00172

     .16564     .11443     .07964     .05578     .03932     .02792     .01999
     .01446     .01059     .00605     .00611     .00367     .00397     .00265
     .00198     .00198     .00185

     .16857     .11695     .08174     .05749     .04070     .02902     .02087
     .01516     .01115     .00637     .00644     .00386     .00418     .00279
     .00209     .00209     .00199

     .17157     .11952     .08389     .05926     .04213     .03017     .02179
     .01590     .01174     .00822     .00479     .00498     .00311     .00359
     .00269     .00269     .00213

     .17461     .12214     .08609     .06108     .04361     .03137     .02275
     .01667     .01237     .00865     .00874     .00525     .00568     .00379
     .00284     .00284     .00229

     .17770     .12482     .08835     .06295     .04514     .03261     .02375
     .01748     .01302     .00911     .00921     .00552     .00598     .00399
     .00299     .00299     .00246

     .18085     .12756     .09067     .06488     .04672     .03389     .02480
     .01832     .01371     .00960     .00969     .00582     .00630     .00420
     .00315     .00315     .00264

     .18407     .13037     .09306     .06687     .04837     .03524     .02589
     .01921     .01444     .01011     .01021     .00613     .00663     .00442
     .00331     .00331     .00284

     .18736     .13326     .09553     .06893     .05007     .03664     .02704
     .02015     .01521     .01065     .01076     .00645     .00699     .00466
     .00349     .00349     .00306

     .19071     .13620     .09805     .07106     .05184     .03810     .02823
     .02114     .01602     .01234     .00720     .00748     .00467     .00540
     .00405     .00405     .00330

     .19407     .13917     .10061     .07322     .05364     .03959     .02947
     .02215     .01686     .01304     .00932     .00968     .00605     .00699
     .00524     .00524     .00355

     .19755     .14226     .10328     .07548     .05554     .04117     .03077
     .02324     .01777     .01380     .00986     .01024     .00640     .00739
     .00554     .00554     .00383

     .20111     .14542     .10602     .07782     .05751     .04281     .03214
     .02437     .01872     .01460     .01043     .01084     .00678     .00782
     .00587     .00587     .00413

     .20466     .14860     .10878     .08019     .05951     .04449     .03354
     .02555     .01970     .01543     .01103     .01146     .00716     .00827
     .00620     .00620     .00445

     .20834     .15189     .11167     .08266     .06161     .04626     .03503
     .02679     .02075     .01633     .01167     .01212     .00758     .00875
     .00656     .00656     .00480

     .21209     .15526     .11463     .08522     .06378     .04810     .03658
     .02810     .02186     .01727     .01234     .01283     .00802     .00926
     .00694     .00694     .00517

     .21585     .15867     .11762     .08781     .06601     .04999     .03818
     .02945     .02301     .01826     .01479     .00887     .00961     .01109
     .00832     .00832     .00557

     .21973     .16218     .12074     .09052     .06833     .05197     .03986
     .03089     .02424     .01931     .01572     .01155     .01251     .00834
     .00625     .00625     .00600

     .22371     .16580     .12395     .09333     .07076     .05405     .04164
     .03240     .02553     .02043     .01670     .01227     .01329     .00886
     .00664     .00664     .00646

     .22772     .16947     .12722     .09619     .07324     .05618     .04347
     .03397     .02689     .02160     .01775     .01304     .01412     .00941
     .01223     .01223     .00696

     .23183     .17323     .13059     .09916     .07582     .05841     .04539
     .03563     .02832     .02285     .01886     .01386     .01500     .01000
     .01299     .01299     .00750

     .23601     .17707     .13404     .10221     .07849     .06073     .04739
     .03736     .02982     .02417     .02003     .01700     .01062     .01227
     .00920     .00920     .00807

     .24026     .18099     .13758     .10535     .08124     .06313     .04947
     .03917     .03140     .02556     .02128     .01812     .01387     .01602
     .01201     .01201     .00869

     .24461     .18503     .14123     .10861     .08411     .06564     .05166
     .04108     .03308     .02704     .02261     .01932     .01479     .01708
     .01281     .01281     .00935

     .24907     .18917     .14500     .11198     .08709     .06826     .05396
     .04309     .03485     .02860     .02401     .02059     .01576     .01820
     .01365     .01365     .01006

     .25354     .19334     .14881     .11540     .09013     .07094     .05632
     .04517     .03668     .03025     .02551     .02195     .01681     .01941
     .01455     .01455     .01083

     .25817     .19767     .15277     .11897     .09333     .07377     .05881
     .04738     .03864     .03199     .02710     .02340     .01791     .02068
     .01551     .01551     .01165

     .26289     .20211     .15685     .12267     .09663     .07671     .06142
     .04969     .04070     .03387     .02878     .02493     .01908     .02204
     .01653     .01653     .01253

     .26763     .20658     .16098     .12642     .10001     .07973     .06411
     .05209     .04284     .03580     .03057     .02657     .02346     .01915
     .01436     .01436     .01347

     .27252     .21121     .16527     .13033     .10354     .08290     .06695
     .05463     .04511     .03790     .03247     .02831     .02506     .02046
     .01534     .01534     .01448

     .27751     .21594     .16967     .13437     .10720     .08619     .06991
     .05729     .04751     .04009     .03447     .03016     .02676     .02185
     .01639     .01639     .01557

     .28259     .22078     .17419     .13852     .11098     .08962     .07300
     .06008     .05004     .04241     .03661     .03212     .02857     .02333
     .01750     .01750     .01673

     .28777     .22573     .17882     .14280     .11490     .09317     .07622
     .06300     .05269     .04485     .03887     .03421     .03051     .02491
     .01868     .01868     .01798

     .29307     .23082     .18361     .14723     .11896     .09688     .07959
     .06607     .05550     .04746     .04126     .03643     .03257     .02941
     .02206     .02205     .01931

     .29848     .23602     .18851     .15180     .12317     .10073     .08312
     .06929     .05847     .05020     .04381     .03878     .03476     .03145
     .02888     .02888     .02074

     .30398     .24133     .19354     .15650     .12752     .10473     .08678
     .07262     .06158     .05309     .04650     .04129     .03709     .03362
     .03088     .03088     .02227

     .30961     .24679     .19873     .16137     .13204     .10891     .09063
     .07618     .06486     .05615     .04935     .04394     .03957     .03593
     .03301     .03301     .02391

     .31530     .25232     .20401     .16633     .13667     .11320     .09460
     .07981     .06834     .05940     .05238     .04677     .04221     .03841
     .03528     .03528     .02567

     .32118     .25805     .20950     .17152     .14153     .11772     .09880
     .08375     .07198     .06281     .05557     .04976     .04501     .04103
     .03769     .03769     .02754

     .32719     .26394     .21515     .17688     .14657     .12244     .10320
     .08781     .07581     .06641     .05895     .05293     .04798     .04382
     .04021     .04021     .02954

     .33324     .26988     .22088     .18233     .15171     .12727     .10772
     .09210     .07988     .07024     .06254     .05631     .05116     .04681
     .04301     .04301     .03168

     .33950     .27604     .22684     .18803     .15711     .13235     .11251
     .09659     .08411     .07425     .06633     .05987     .05451     .04997
     .04598     .03251     .03397

     .34588     .28235     .23296     .19390     .16269     .13764     .11746
     .10130     .08858     .07849     .07033     .06364     .05807     .05333
     .04915     .03475     .03640

     .35240     .28880     .23925     .19996     .16848     .14313     .12265
     .10625     .09337     .08296     .07456     .06764     .06185     .05690
     .05251     .03713     .03901

     .35905     .29541     .24571     .20620     .17446     .14884     .12803
     .11145     .09832     .08767     .07903     .07188     .06586     .06069
     .05610     .03967     .04179

     .36583     .30218     .25235     .21263     .18065     .15476     .13372
     .11692     .10354     .09265     .08376     .07636     .07012     .06472
     .05991     .04236     .04475

     .37275     .30910     .25917     .21927     .18706     .16092     .13962
     .12265     .10898     .09789     .08875     .08111     .07462     .06900
     .06396     .05539     .04791

     .37985     .31623     .26620     .22614     .19372     .16732     .14582
     .12863     .11475     .10340     .09401     .08612     .07939     .07353
     .06826     .05911     .05127


Brems with LPM smp tbl; (sqrt(v)-sqrt(vmin)/(1-u)
   14.51726   14.52946   14.52173   14.54884   14.58856   14.68614   14.85700
   15.11285   15.43476   15.74413   15.90674   15.80496   15.43518   14.89107
   14.28456   13.69779

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

   14.97777   14.98215   14.98231   15.02278   15.05865   15.15663   15.33839
   15.60870   15.94609   16.26251   16.41401   16.28344   15.87780   15.30083
   14.66915   14.06493

   15.20803   15.19340   15.21260   15.21189   15.28621   15.39520   15.58081
   15.85689   16.20115   16.52101   16.66663   16.52156   16.09792   15.50465
   14.86053   14.24799

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

   15.66787   15.67625   15.67319   15.68587   15.75646   15.86604   16.06285
   16.35388   16.71327   17.03864   17.17064   16.99485   16.53499   15.90960
   15.24123   14.61234

   15.89748   15.88750   15.90349   15.92288   15.98400   16.09842   16.30253
   16.60272   16.96929   17.29640   17.42163   17.23027   16.75196   16.11084
   15.43055   14.79371

   16.12837   16.12892   16.13378   16.15990   16.21157   16.33719   16.54538
   16.85339   17.22659   17.55592   17.67354   17.46601   16.96951   16.31240
   15.62044   14.97586

   16.36041   16.37035   16.36597   16.39730   16.45454   16.57599   16.78832
   17.10426   17.48526   17.81654   17.92594   17.70232   17.18740   16.51442
   15.81083   15.15853

   16.58902   16.58159   16.59439   16.63397   16.68204   16.80850   17.02831
   17.35193   17.74012   18.07364   18.17431   17.93448   17.40134   16.71282
   15.99791   15.33819

   16.80798   16.82301   16.81336   16.82090   16.90909   17.03454   17.25902
   17.58950   17.98499   18.31908   18.41230   18.15613   17.60544   16.90225
   16.17664   15.50998

   17.01399   17.00407   17.02101   17.05349   17.10482   17.24779   17.47739
   17.81357   18.21464   18.55028   18.63519   18.36420   17.79696   17.08003
   16.34448   15.67142

   17.20523   17.21532   17.21168   17.23484   17.29961   17.44168   17.67712
   18.02071   18.42809   18.76517   18.84209   18.55676   17.97436   17.24469
   16.49994   15.82104

   17.37072   17.36620   17.37780   17.41134   17.47763   17.60970   17.85193
   18.20052   18.61388   18.95085   19.02047   18.72301   18.12734   17.38675
   16.63427   15.95037

   17.50996   17.51709   17.51561   17.53436   17.60818   17.75197   17.99872
   18.35306   18.76874   19.10667   19.17085   18.86251   18.25581   17.50609
   16.74714   16.05909

   17.62496   17.63780   17.63077   17.65291   17.72206   17.87474   18.12049
   18.47818   18.89793   19.23583   19.29478   18.97757   18.36178   17.60458
   16.84024   16.14879

   17.70684   17.69816   17.71384   17.71722   17.81878   17.95876   18.20482
   18.56738   18.98891   19.32763   19.38268   19.05957   18.43703   17.67457
   16.90650   16.21265

   17.75886   17.75851   17.76481   17.77519   17.86768   18.01052   18.26108
   18.62397   19.04789   19.38589   19.43852   19.11139   18.48483   17.71893
   16.94858   16.25322

   17.78425   17.78869   17.79124   17.82832   17.88449   18.03644   18.28923
   18.65140   19.07580   19.41404   19.46606   19.13686   18.50828   17.74068
   16.96903   16.27303

   17.77903   17.78869   17.78558   17.82720   17.88413   18.02995   18.28297
   18.64628   19.07065   19.40796   19.46057   19.13163   18.50347   17.73620
   16.96481   16.26893

   17.74570   17.75852   17.75160   17.77259   17.85158   17.99758   18.24858
   18.60848   19.03236   19.37048   19.42439   19.09823   18.47274   17.70774
   16.93786   16.24299

   17.69035   17.69816   17.69685   17.71387   17.78718   17.93948   18.18926
   18.54850   18.97140   19.30884   19.36482   19.04295   18.42194   17.66044
   16.89316   16.19985

   17.61182   17.60763   17.61757   17.65031   17.72124   17.86172   18.10483
   18.46274   18.88351   19.22113   19.28061   18.96458   18.34968   17.59329
   16.82964   16.13854

   17.51368   17.51710   17.51940   17.53512   17.60843   17.75842   18.00184
   18.35650   18.77291   19.11070   19.17451   18.86631   18.25920   17.50934
   16.75020   16.06197

   17.39809   17.39640   17.40425   17.41658   17.49456   17.64202   17.88003
   18.23140   18.64378   18.98093   19.05024   18.75034   18.15264   17.41026
   16.65646   15.97171

   17.26550   17.27569   17.27211   17.29468   17.36437   17.50626   17.74265
   18.08747   18.49617   18.83256   18.90682   18.61731   18.03005   17.29644
   16.54892   15.86817

   17.11826   17.12481   17.12486   17.16981   17.21798   17.35120   17.58663
   17.92655   18.33116   18.66773   18.74820   18.46920   17.89370   17.16988
   16.42927   15.75303

   16.96252   16.97392   16.96818   16.99518   17.05585   17.18972   17.42129
   17.75718   18.15701   18.49305   18.57972   18.31226   17.74926   17.03570
   16.30257   15.63105

   16.79307   16.79286   16.79829   16.81795   16.89291   17.02159   17.24343
   17.57414   17.96747   18.30250   18.39597   18.14099   17.59162   16.88934
   16.16449   15.49830

   16.61449   16.61180   16.62085   16.63923   16.69899   16.83447   17.05645
   17.37931   17.76791   18.10230   18.20206   17.96036   17.42514   16.73486
   16.01868   15.35819

   16.43146   16.43074   16.43774   16.45940   16.52000   16.64715   16.86319
   17.18116   17.56441   17.89627   18.00349   17.77468   17.25400   16.57616
   15.86902   15.21438

   16.23905   16.24968   16.24520   16.27771   16.32517   16.44705   16.66071
   16.97291   17.34980   17.68065   17.79385   17.57888   17.07352   16.40890
   15.71134   15.06303

   16.04115   16.03844   16.04700   16.04703   16.13012   16.24689   16.45513
   16.75790   17.12923   17.45797   17.57829   17.37704   16.88742   16.23633
   15.54878   14.90711

   15.83866   15.82720   15.84314   15.86313   15.91937   16.04035   16.24032
   16.53972   16.90378   17.23033   17.35722   17.16999   16.69644   16.05931
   15.38216   14.74733

   15.63227   15.64614   15.63739   15.67885   15.70853   15.82747   16.02562
   16.31652   16.67342   16.99843   17.13159   16.95839   16.50121   15.87833
   15.21185   14.58420

   15.42141   15.43491   15.42599   15.44560   15.49746   15.61454   15.80475
   16.08837   16.43926   16.76157   16.90097   16.74162   16.30101   15.69298
   15.03747   14.41723

   15.20788   15.19349   15.21270   15.21198   15.28630   15.39529   15.58090
   15.85699   16.20126   16.52114   16.66677   16.52137   16.09773   15.50452
   14.86041   14.24785

   14.99226   14.98226   14.99752   15.02586   15.05970   15.16976   15.35410
   15.62414   15.96151   16.27844   16.42986   16.29841   15.89167   15.31371
   14.68122   14.07648

   14.77354   14.77102   14.77857   14.79115   14.84824   14.95047   15.12417
   15.38971   15.71892   16.03281   16.18884   16.07163   15.68190   15.11948
   14.49887   13.90235

   14.55556   14.55978   14.55962   14.55645   14.62155   14.72500   14.89754
   15.15374   15.47664   15.78760   15.94884   15.84489   15.47209   14.92521
   14.31663   13.72835

   14.33319   14.34855   14.33690   14.36887   14.39456   14.49944   14.66474
   14.91456   15.23057   15.53750   15.70348   15.61296   15.25737   14.72645
   14.13021   13.55056

   14.10905   14.10714   14.11419   14.13344   14.18294   14.26759   14.43208
   14.67386   14.98169   15.28521   15.45597   15.37841   15.04010   14.52523
   13.94170   13.37091

   13.88715   13.89590   13.89147   13.89802   13.95610   14.04219   14.19951
   14.43505   14.73620   15.03527   15.21028   15.14552   14.82409   14.32534
   13.75449   13.19257

   13.66148   13.65449   13.66499   13.66188   13.72905   13.81043   13.96395
   14.19303   14.48692   14.78184   14.96018   14.90796   14.60357   14.12128
   13.56344   13.01087

   13.43512   13.44325   13.43850   13.47359   13.50194   13.57870   13.72849
   13.95120   14.23586   14.52686   14.70887   14.66923   14.38167   13.91573
   13.37120   12.82807

   13.20838   13.20184   13.21202   13.23746   13.25972   13.34713   13.49009
   13.70790   13.98620   14.27234   14.45671   14.42889   14.15835   13.70908
   13.17797   12.64447

   12.98144   12.99061   12.98555   13.00135   13.03276   13.11555   13.25485
   13.46472   13.73577   14.01690   14.20425   14.18793   13.93405   13.50134
   12.98387   12.46022

   12.75436   12.74920   12.75719   12.76487   12.80571   12.88398   13.01970
   13.22172   13.48563   13.76189   13.95141   13.94596   13.70864   13.29263
   12.78888   12.27531

   12.52710   12.53796   12.53071   12.52878   12.57880   12.65252   12.78160
   12.97896   13.23478   13.50670   13.69780   13.70340   13.48217   13.08279
   12.59299   12.08967

   12.29877   12.29655   12.30236   12.29233   12.35181   12.42107   12.54666
   12.73463   12.98424   13.24993   13.44299   13.45860   13.25361   12.87107
   12.39540   11.90258


 constant for Pair  sampling table at low energies
  1.100000000000000E-003 -2.95860731484178  8.000000000000000E-003  150.000000000000  340500000000000.  51  51  5.000000000000000E-002  1.00000000000000  21  4.750000000000000E-002  .102693971477949  .000000000000000  .472870804501588  21  2.364354022507940E-002  .102693971477949  4.531974657430230E-002

sp      
total pair x-sec. at low E
  1.100000E-03  3.337637E-05
  1.393435E-03  1.899413E-03
  1.765146E-03  8.102180E-03
  2.236014E-03  1.897382E-02
  2.832491E-03  3.401669E-02
  3.588083E-03  5.256444E-02
  4.545237E-03  7.399046E-02
  5.757719E-03  9.775610E-02
  7.293642E-03  .123410
  9.239286E-03  .150694
  1.170395E-02  .179410
  1.482608E-02  .208858
  1.878107E-02  .238876
  2.379109E-02  .269338
  3.013757E-02  .300143
  3.817704E-02  .331202
  4.836111E-02  .362431
  6.126186E-02  .393733
  7.760401E-02  .424976
  9.830558E-02  .455971
  .124529  .486464
  .157749  .516140
  .199830  .544653
  .253136  .571663
  .320662  .596879
  .406202  .620087
  .514560  .641160
  .651823  .660059
  .825703  .676820
  1.04597  .691538
  1.32499  .704349
  1.67844  .715417
  2.12618  .724914
  2.69336  .733017
  3.41183  .739893
  4.32197  .745704
  5.47489  .750594
  6.93537  .754695
  8.78544  .758124
  11.1290  .760983
  14.0978  .763360
  17.8585  .765333
  22.6224  .766966
  28.6572  .768316
  36.3017  .769429
  45.9855  .770346
  58.2526  .771100
  73.7920  .771720
  93.4767  .772228
  118.412  .772645
  150.000  .772986

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

     .12312     .11928     .11659     .11454     .11286     .11148     .11032
     .10931     .10846     .10770     .10706     .10649     .10602     .10561
     .10525     .10496     .10475     .10455     .10442     .10438     .10435

     .19441     .18834     .18411     .18087     .17825     .17608     .17426
     .17269     .17135     .17018     .16917     .16831     .16756     .16692
     .16638     .16593     .16559     .16529     .16510     .16507     .16497

     .25071     .24295     .23758     .23347     .23017     .22746     .22517
     .22321     .22154     .22010     .21886     .21777     .21685     .21608
     .21541     .21486     .21442     .21409     .21387     .21374     .21368

     .29527     .28630     .28015     .27548     .27175     .26869     .26613
     .26397     .26211     .26052     .25916     .25798     .25698     .25612
     .25541     .25484     .25433     .25396     .25374     .25348     .25353

     .33063     .32088     .31426     .30930     .30537     .30218     .29952
     .29727     .29538     .29376     .29238     .29119     .29017     .28932
     .28861     .28802     .28755     .28723     .28697     .28677     .28676

     .35880     .34864     .34185     .33681     .33288     .32969     .32708
     .32491     .32306     .32150     .32019     .31907     .31812     .31732
     .31669     .31615     .31573     .31539     .31515     .31506     .31498

     .38138     .37112     .36439     .35945     .35565     .35262     .35015
     .34811     .34642     .34501     .34381     .34282     .34201     .34130
     .34074     .34027     .33993     .33963     .33942     .33932     .33930

     .39957     .38948     .38298     .37827     .37471     .37192     .36968
     .36786     .36636     .36516     .36413     .36331     .36262     .36206
     .36161     .36126     .36097     .36077     .36065     .36054     .36051

     .41428     .40464     .39863     .39440     .39128     .38887     .38702
     .38556     .38438     .38345     .38271     .38214     .38167     .38132
     .38105     .38083     .38065     .38053     .38045     .38049     .38041

     .42687     .41786     .41233     .40852     .40576     .40369     .40214
     .40096     .40004     .39936     .39886     .39848     .39819     .39801
     .39787     .39778     .39773     .39768     .39767     .39763     .39765

     .43716     .42880     .42376     .42036     .41796     .41623     .41498
     .41407     .41344     .41298     .41270     .41251     .41242     .41240
     .41239     .41244     .41247     .41253     .41256     .41253     .41258

     .44563     .43791     .43335     .43036     .42833     .42691     .42597
     .42532     .42494     .42472     .42464     .42466     .42476     .42488
     .42502     .42518     .42532     .42544     .42553     .42564     .42561

     .45268     .44558     .44149     .43890     .43719     .43610     .43541
     .43504     .43491     .43491     .43505     .43526     .43551     .43578
     .43606     .43633     .43658     .43679     .43691     .43695     .43704

     .45857     .45208     .44844     .44621     .44485     .44403     .44363
     .44349     .44357     .44381     .44414     .44452     .44495     .44538
     .44580     .44617     .44649     .44677     .44693     .44713     .44713

     .46354     .45763     .45441     .45254     .45148     .45094     .45079
     .45091     .45120     .45164     .45216     .45273     .45330     .45387
     .45441     .45490     .45530     .45564     .45587     .45606     .45611

     .46775     .46240     .45958     .45805     .45728     .45701     .45711
     .45744     .45796     .45857     .45928     .46001     .46074     .46144
     .46210     .46270     .46320     .46363     .46393     .46405     .46415

     .47136     .46651     .46409     .46288     .46240     .46239     .46271
     .46326     .46399     .46481     .46568     .46656     .46745     .46830
     .46907     .46976     .47036     .47084     .47117     .47137     .47146

     .47447     .47013     .46807     .46717     .46696     .46722     .46778
     .46855     .46945     .47046     .47152     .47258     .47360     .47459
     .47547     .47629     .47696     .47749     .47793     .47813     .47823

     .47717     .47333     .47163     .47104     .47111     .47160     .47241
     .47341     .47453     .47573     .47697     .47820     .47938     .48051
     .48155     .48246     .48322     .48381     .48428     .48456     .48465

     .47957     .47618     .47487     .47459     .47494     .47572     .47675
     .47799     .47935     .48076     .48220     .48361     .48496     .48624
     .48739     .48843     .48931     .48998     .49053     .49088     .49091

     .48169     .47881     .47787     .47794     .47859     .47964     .48096
     .48245     .48404     .48568     .48733     .48894     .49047     .49192
     .49322     .49439     .49535     .49616     .49673     .49701     .49716

     .48363     .48123     .48071     .48113     .48212     .48347     .48506
     .48683     .48867     .49057     .49244     .49426     .49600     .49762
     .49909     .50037     .50146     .50232     .50300     .50328     .50349

     .48541     .48354     .48344     .48423     .48558     .48726     .48918
     .49122     .49334     .49548     .49760     .49965     .50158     .50339
     .50501     .50645     .50765     .50863     .50931     .50975     .50990

     .48707     .48574     .48609     .48730     .48900     .49103     .49326
     .49558     .49800     .50039     .50276     .50504     .50719     .50920
     .51099     .51258     .51392     .51498     .51574     .51626     .51637

     .48863     .48787     .48868     .49030     .49237     .49473     .49730
     .49993     .50261     .50527     .50789     .51040     .51278     .51496
     .51692     .51866     .52012     .52126     .52210     .52270     .52281

     .49012     .48994     .49122     .49324     .49568     .49839     .50125
     .50419     .50715     .51009     .51292     .51566     .51824     .52060
     .52275     .52461     .52620     .52747     .52839     .52891     .52912

     .49153     .49191     .49365     .49609     .49889     .50192     .50508
     .50830     .51153     .51471     .51778     .52074     .52351     .52606
     .52837     .53038     .53208     .53341     .53438     .53506     .53520

     .49287     .49382     .49601     .49880     .50194     .50529     .50873
     .51222     .51568     .51910     .52240     .52554     .52849     .53123
     .53368     .53582     .53763     .53909     .54009     .54070     .54097

     .49413     .49562     .49824     .50139     .50484     .50846     .51218
     .51591     .51959     .52321     .52672     .53005     .53318     .53607
     .53866     .54093     .54282     .54437     .54545     .54613     .54636

     .49533     .49732     .50033     .50381     .50756     .51143     .51536
     .51930     .52323     .52702     .53072     .53421     .53749     .54051
     .54324     .54563     .54763     .54924     .55038     .55106     .55132

     .49645     .49891     .50226     .50605     .51003     .51413     .51829
     .52242     .52652     .53049     .53435     .53800     .54143     .54459
     .54742     .54990     .55197     .55366     .55488     .55564     .55584

     .49749     .50037     .50406     .50808     .51230     .51661     .52095
     .52526     .52951     .53365     .53763     .54143     .54497     .54824
     .55118     .55376     .55590     .55764     .55889     .55957     .55990

     .49844     .50173     .50568     .50992     .51434     .51883     .52332
     .52778     .53218     .53645     .54056     .54446     .54813     .55148
     .55453     .55718     .55940     .56118     .56247     .56332     .56352

     .49933     .50293     .50713     .51159     .51616     .52080     .52544
     .53004     .53455     .53892     .54315     .54716     .55091     .55437
     .55749     .56018     .56250     .56433     .56565     .56641     .56671

     .50014     .50403     .50843     .51306     .51778     .52254     .52731
     .53200     .53662     .54111     .54542     .54952     .55335     .55688
     .56007     .56285     .56518     .56704     .56842     .56918     .56950

     .50085     .50500     .50958     .51435     .51919     .52407     .52895
     .53374     .53844     .54301     .54741     .55158     .55549     .55907
     .56232     .56513     .56750     .56942     .57077     .57162     .57193

     .50150     .50587     .51059     .51548     .52044     .52541     .53034
     .53524     .54001     .54467     .54912     .55337     .55732     .56097
     .56426     .56711     .56953     .57148     .57288     .57373     .57402

     .50208     .50663     .51148     .51646     .52152     .52657     .53158
     .53654     .54137     .54608     .55059     .55488     .55890     .56259
     .56591     .56883     .57127     .57321     .57467     .57551     .57581

     .50259     .50730     .51225     .51732     .52244     .52756     .53262
     .53764     .54253     .54729     .55186     .55620     .56026     .56398
     .56735     .57029     .57277     .57472     .57613     .57697     .57734

     .50303     .50787     .51292     .51805     .52323     .52841     .53353
     .53859     .54353     .54833     .55293     .55730     .56139     .56517
     .56854     .57152     .57403     .57602     .57742     .57827     .57864

     .50342     .50836     .51350     .51868     .52392     .52912     .53429
     .53939     .54437     .54921     .55383     .55823     .56236     .56616
     .56956     .57256     .57508     .57710     .57856     .57940     .57974

     .50377     .50879     .51398     .51922     .52449     .52975     .53494
     .54006     .54508     .54995     .55461     .55904     .56317     .56699
     .57043     .57343     .57597     .57796     .57945     .58037     .58067

     .50406     .50915     .51440     .51968     .52497     .53027     .53550
     .54064     .54567     .55057     .55526     .55971     .56386     .56771
     .57115     .57418     .57670     .57877     .58025     .58118     .58144

     .50430     .50948     .51474     .52006     .52540     .53070     .53596
     .54113     .54618     .55110     .55581     .56027     .56445     .56829
     .57177     .57479     .57735     .57936     .58090     .58183     .58209

     .50452     .50973     .51505     .52038     .52574     .53107     .53633
     .54153     .54661     .55151     .55626     .56073     .56493     .56880
     .57226     .57531     .57787     .57990     .58139     .58231     .58263

     .50471     .50996     .51530     .52067     .52603     .53137     .53665
     .54186     .54696     .55189     .55661     .56111     .56534     .56921
     .57269     .57573     .57832     .58039     .58187     .58280     .58308

     .50486     .51014     .51550     .52090     .52627     .53163     .53693
     .54216     .54723     .55219     .55694     .56144     .56566     .56954
     .57304     .57608     .57868     .58071     .58220     .58312     .58346

     .50500     .51031     .51568     .52109     .52647     .53185     .53716
     .54238     .54748     .55245     .55720     .56170     .56594     .56983
     .57334     .57641     .57896     .58103     .58252     .58344     .58377

     .50510     .51045     .51582     .52124     .52663     .53202     .53735
     .54258     .54769     .55266     .55742     .56194     .56617     .57007
     .57358     .57663     .57921     .58130     .58276     .58376     .58403

     .50520     .51055     .51595     .52137     .52678     .53217     .53748
     .54273     .54785     .55283     .55758     .56212     .56635     .57025
     .57377     .57683     .57941     .58146     .58300     .58393     .58424


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

     .53765     .53764     .53763     .53761     .53759     .53753     .53747
     .53737     .53726     .53711     .53693     .53672     .53648     .53621
     .53589     .53553     .53513     .53468     .53420     .53365     .53306

     .54416     .54415     .54414     .54412     .54409     .54402     .54395
     .54383     .54370     .54353     .54332     .54308     .54280     .54246
     .54210     .54167     .54121     .54068     .54010     .53948     .53878

     .55481     .55481     .55480     .55477     .55472     .55465     .55455
     .55441     .55424     .55403     .55377     .55346     .55312     .55271
     .55225     .55172     .55114     .55049     .54978     .54899     .54812

     .56931     .56930     .56929     .56925     .56919     .56910     .56897
     .56880     .56859     .56831     .56799     .56760     .56716     .56665
     .56606     .56540     .56467     .56385     .56294     .56194     .56084

     .58726     .58725     .58723     .58719     .58711     .58699     .58683
     .58661     .58633     .58600     .58559     .58511     .58454     .58391
     .58317     .58234     .58140     .58037     .57923     .57797     .57660

     .60818     .60817     .60815     .60810     .60800     .60785     .60765
     .60738     .60704     .60662     .60611     .60551     .60482     .60402
     .60310     .60207     .60092     .59964     .59822     .59666     .59495

     .63154     .63154     .63151     .63144     .63132     .63114     .63090
     .63057     .63016     .62964     .62903     .62830     .62745     .62647
     .62536     .62411     .62271     .62114     .61941     .61752     .61544

     .65677     .65677     .65673     .65665     .65651     .65630     .65600
     .65562     .65512     .65451     .65377     .65290     .65189     .65073
     .64940     .64791     .64623     .64437     .64231     .64004     .63756

     .68329     .68328     .68324     .68315     .68298     .68273     .68239
     .68193     .68136     .68064     .67978     .67876     .67758     .67621
     .67466     .67291     .67095     .66877     .66637     .66372     .66082

     .71051     .71050     .71045     .71034     .71015     .70987     .70947
     .70894     .70828     .70745     .70646     .70530     .70393     .70237
     .70059     .69858     .69633     .69382     .69106     .68801     .68469

     .73787     .73787     .73781     .73769     .73748     .73716     .73671
     .73611     .73536     .73443     .73331     .73199     .73045     .72868
     .72666     .72438     .72184     .71901     .71589     .71245     .70869

     .76489     .76488     .76482     .76468     .76445     .76409     .76359
     .76292     .76208     .76105     .75980     .75833     .75661     .75464
     .75240     .74986     .74703     .74389     .74041     .73659     .73241

     .79111     .79109     .79103     .79088     .79062     .79022     .78967
     .78894     .78802     .78688     .78552     .78389     .78201     .77984
     .77737     .77459     .77148     .76802     .76421     .76002     .75543

     .81615     .81613     .81607     .81590     .81562     .81519     .81459
     .81380     .81280     .81156     .81007     .80831     .80626     .80391
     .80124     .79822     .79485     .79111     .78698     .78243     .77747

     .83971     .83969     .83962     .83945     .83915     .83868     .83804
     .83719     .83611     .83478     .83317     .83129     .82909     .82657
     .82370     .82047     .81687     .81285     .80843     .80358     .79827

     .86157     .86155     .86147     .86129     .86097     .86047     .85979
     .85888     .85773     .85632     .85462     .85261     .85029     .84760
     .84456     .84114     .83731     .83307     .82839     .82325     .81764

     .88157     .88155     .88147     .88127     .88094     .88041     .87969
     .87874     .87752     .87605     .87425     .87214     .86969     .86688
     .86368     .86009     .85609     .85164     .84674     .84136     .83548

     .89964     .89962     .89953     .89933     .89897     .89842     .89767
     .89668     .89541     .89386     .89200     .88980     .88724     .88431
     .88100     .87726     .87311     .86848     .86340     .85782     .85174

     .91575     .91573     .91564     .91542     .91506     .91450     .91371
     .91268     .91138     .90977     .90784     .90557     .90293     .89991
     .89649     .89265     .88837     .88363     .87840     .87268     .86643

     .92994     .92992     .92983     .92960     .92922     .92865     .92785
     .92678     .92545     .92379     .92181     .91949     .91680     .91372
     .91021     .90630     .90193     .89710     .89178     .88595     .87959

     .94229     .94228     .94227     .94220     .94202     .94166     .94103
     .94005     .93873     .93700     .93490     .93240     .92951     .92623
     .92255     .91846     .91392     .90896     .90352     .89759     .89114

     .95291     .95290     .95289     .95282     .95262     .95224     .95157
     .95059     .94924     .94750     .94540     .94291     .94005     .93680
     .93316     .92911     .92464     .91970     .91430     .90840     .90197

     .96193     .96193     .96191     .96184     .96163     .96122     .96053
     .95952     .95815     .95642     .95433     .95188     .94906     .94586
     .94228     .93829     .93387     .92901     .92367     .91782     .91143

     .96952     .96951     .96950     .96941     .96920     .96877     .96805
     .96702     .96565     .96393     .96186     .95946     .95670     .95358
     .95007     .94616     .94183     .93705     .93179     .92600     .91968

     .97583     .97582     .97580     .97572     .97548     .97503     .97429
     .97325     .97188     .97018     .96818     .96583     .96314     .96011
     .95669     .95288     .94865     .94396     .93879     .93310     .92685

     .98101     .98100     .98098     .98088     .98065     .98016     .97941
     .97837     .97702     .97538     .97342     .97116     .96857     .96562
     .96231     .95860     .95447     .94989     .94482     .93924     .93309

     .98522     .98521     .98520     .98509     .98483     .98434     .98358
     .98254     .98124     .97966     .97778     .97559     .97310     .97025
     .96704     .96346     .95943     .95497     .95001     .94453     .93848

     .98860     .98860     .98858     .98846     .98819     .98769     .98694
     .98594     .98467     .98315     .98135     .97926     .97686     .97413
     .97105     .96756     .96366     .95931     .95446     .94910     .94316

     .99130     .99129     .99126     .99115     .99087     .99036     .98962
     .98866     .98747     .98601     .98430     .98231     .98001     .97739
     .97441     .97105     .96727     .96303     .95830     .95304     .94721

     .99342     .99341     .99338     .99326     .99297     .99247     .99177
     .99085     .98970     .98833     .98671     .98481     .98263     .98011
     .97725     .97400     .97034     .96621     .96161     .95647     .95075

     .99507     .99506     .99503     .99491     .99460     .99412     .99346
     .99258     .99151     .99022     .98868     .98688     .98480     .98240
     .97965     .97651     .97295     .96897     .96446     .95945     .95384

     .99634     .99633     .99630     .99616     .99587     .99542     .99478
     .99397     .99297     .99175     .99030     .98860     .98662     .98432
     .98168     .97865     .97523     .97135     .96697     .96207     .95658

     .99731     .99730     .99727     .99713     .99684     .99642     .99583
     .99507     .99414     .99300     .99164     .99003     .98815     .98596
     .98343     .98051     .97720     .97344     .96919     .96441     .95905

     .99804     .99803     .99800     .99786     .99759     .99719     .99665
     .99595     .99508     .99403     .99276     .99124     .98944     .98736
     .98494     .98215     .97896     .97532     .97120     .96655     .96134

     .99858     .99858     .99855     .99841     .99817     .99779     .99730
     .99666     .99585     .99488     .99368     .99225     .99056     .98858
     .98627     .98359     .98053     .97703     .97304     .96854     .96347

     .99899     .99898     .99895     .99881     .99858     .99825     .99781
     .99721     .99648     .99557     .99446     .99312     .99152     .98965
     .98745     .98489     .98196     .97859     .97477     .97041     .96551

     .99928     .99928     .99925     .99912     .99891     .99862     .99821
     .99768     .99701     .99615     .99512     .99387     .99236     .99059
     .98850     .98608     .98328     .98005     .97637     .97218     .96745

     .99950     .99949     .99946     .99935     .99915     .99890     .99853
     .99804     .99742     .99664     .99568     .99451     .99310     .99143
     .98946     .98716     .98449     .98141     .97787     .97385     .96928

     .99965     .99964     .99961     .99951     .99935     .99911     .99877
     .99835     .99777     .99705     .99617     .99507     .99376     .99219
     .99033     .98815     .98560     .98266     .97929     .97543     .97102

     .99976     .99975     .99972     .99963     .99949     .99928     .99899
     .99858     .99807     .99740     .99658     .99556     .99434     .99286
     .99110     .98903     .98662     .98381     .98058     .97687     .97262

     .99984     .99983     .99980     .99972     .99960     .99942     .99914
     .99879     .99832     .99771     .99695     .99600     .99484     .99345
     .99181     .98984     .98755     .98486     .98177     .97818     .97405

     .99989     .99988     .99985     .99979     .99968     .99952     .99927
     .99895     .99852     .99796     .99724     .99637     .99529     .99399
     .99242     .99056     .98838     .98580     .98281     .97933     .97532

     .99993     .99992     .99990     .99984     .99974     .99960     .99938
     .99908     .99868     .99818     .99752     .99670     .99569     .99446
     .99298     .99121     .98910     .98661     .98372     .98033     .97641

     .99995     .99994     .99993     .99988     .99979     .99965     .99947
     .99920     .99883     .99836     .99775     .99698     .99604     .99486
     .99346     .99175     .98972     .98733     .98449     .98118     .97732

     .99997     .99996     .99994     .99990     .99982     .99972     .99953
     .99929     .99895     .99853     .99795     .99723     .99633     .99521
     .99386     .99222     .99024     .98791     .98513     .98186     .97807

     .99998     .99997     .99996     .99993     .99986     .99976     .99959
     .99938     .99906     .99866     .99813     .99744     .99658     .99552
     .99420     .99260     .99068     .98838     .98564     .98242     .97867

     .99999     .99998     .99996     .99993     .99989     .99978     .99964
     .99943     .99915     .99877     .99827     .99761     .99679     .99577
     .99449     .99291     .99102     .98875     .98605     .98286     .97914

     .99999     .99998     .99998     .99995     .99989     .99982     .99968
     .99950     .99922     .99887     .99838     .99777     .99696     .99596
     .99470     .99316     .99129     .98904     .98637     .98320     .97949

     .99999     .99999     .99999     .99996     .99991     .99983     .99971
     .99954     .99929     .99895     .99849     .99788     .99710     .99611
     .99488     .99335     .99150     .98928     .98661     .98345     .97975

    1.00000     .99999     .99999     .99999     .99996     .99993     .99984
     .99970     .99950     .99920     .99878     .99822     .99749     .99653
     .99534     .99384     .99202     .98983     .98719     .98406     .98038


constant used in Pair cre. sampling with LPM
  340500000000000.  25  2.500000000000000E-002  .100000000000000  .000000000000000  1.00000000000000  41  14.5321171162488  8.552973299290130E+016

sp      
Pair total x-sec. with LPM
  3.405000E+14  .774463
  4.286641E+14  .773924
  5.396561E+14  .773924
  6.793868E+14  .773924
  8.552973E+14  .773924
  1.076756E+15  .773924
  1.355555E+15  .773924
  1.706543E+15  .773924
  2.148410E+15  .773924
  2.704688E+15  .772909
  3.405000E+15  .772696
  4.286641E+15  .772151
  5.396561E+15  .770690
  6.793868E+15  .768233
  8.552973E+15  .763184
  1.076755E+16  .755953
  1.355555E+16  .745167
  1.706543E+16  .731490
  2.148410E+16  .714214
  2.704688E+16  .693195
  3.405000E+16  .669135
  4.286641E+16  .642075
  5.396561E+16  .612485
  6.793868E+16  .580953
  8.552973E+16  .548062

Pair table with LPM
    1.00000     .99026     .98038     .97038     .96023     .94996     .93954
     .92898     .91828     .90743     .89643     .88528     .87399     .86253
     .85091     .83915     .82723     .81515     .80291     .79050     .77795
     .76524     .75238     .73935     .72618     .71286     .69941     .68581
     .67208     .65822     .64425     .63016     .61597     .60169     .58732
     .57288     .55838     .54383     .52924     .51463     .50000

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

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

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

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

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

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

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

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

    1.00000     .99023     .98032     .97030     .96014     .94984     .93940
     .92881     .91810     .90723     .89622     .88506     .87376     .86230
     .85069     .83892     .82700     .81492     .80270     .79031     .77776
     .76507     .75222     .73923     .72609     .71280     .69938     .68583
     .67214     .65827     .64434     .63018     .61604     .60182     .58729
     .57291     .55847     .54397     .52913     .51457     .50000

    1.00000     .99023     .98034     .97030     .96014     .94985     .93941
     .92884     .91811     .90726     .89625     .88509     .87379     .86234
     .85073     .83897     .82705     .81498     .80276     .79037     .77784
     .76510     .75216     .73918     .72588     .71260     .69919     .68563
     .67172     .65792     .64399     .62996     .61583     .60128     .58697
     .57259     .55815     .54366     .52913     .51457     .50000

    1.00000     .99024     .98034     .97033     .96017     .94988     .93946
     .92889     .91817     .90733     .89632     .88519     .87389     .86245
     .85084     .83909     .82716     .81503     .80280     .79032     .77779
     .76495     .75212     .73915     .72603     .71276     .69910     .68556
     .67188     .65808     .64415     .63012     .61561     .60138     .58706
     .57267     .55822     .54371     .52916     .51459     .50000

    1.00000     .99026     .98038     .97038     .96024     .94997     .93957
     .92902     .91834     .90751     .89654     .88541     .87415     .86271
     .85108     .83927     .82740     .81524     .80305     .79072     .77802
     .76539     .75258     .73963     .72651     .71325     .69957     .68602
     .67233     .65851     .64457     .63051     .61634     .60207     .58771
     .57288     .55839     .54384     .52925     .51463     .50000

    1.00000     .99029     .98045     .97048     .96038     .95014     .93978
     .92927     .91862     .90783     .89687     .88575     .87446     .86298
     .85146     .83979     .82781     .81583     .80369     .79137     .77891
     .76606     .75327     .74031     .72719     .71391     .70047     .68689
     .67286     .65899     .64500     .63089     .61666     .60231     .58788
     .57337     .55878     .54414     .52945     .51474     .50000

    1.00000     .99035     .98058     .97068     .96064     .95048     .94019
     .92976     .91917     .90836     .89753     .88647     .87533     .86393
     .85249     .84089     .82912     .81704     .80494     .79267     .78024
     .76762     .75483     .74163     .72850     .71521     .70176     .68814
     .67437     .66044     .64637     .63218     .61786     .60342     .58853
     .57392     .55922     .54448     .52967     .51485     .50000

    1.00000     .99044     .98077     .97095     .96102     .95097     .94077
     .93041     .91991     .90926     .89845     .88758     .87655     .86524
     .85389     .84237     .83067     .81879     .80674     .79432     .78190
     .76929     .75651     .74353     .73037     .71704     .70352     .68982
     .67569     .66168     .64752     .63321     .61877     .60421     .58953
     .57476     .55992     .54499     .53003     .51503     .50000

    1.00000     .99058     .98104     .97138     .96160     .95168     .94160
     .93139     .92110     .91062     .90005     .88921     .87832     .86726
     .85600     .84443     .83283     .82102     .80903     .79684     .78445
     .77184     .75905     .74585     .73267     .71929     .70572     .69196
     .67802     .66390     .64962     .63517     .62059     .60586     .59101
     .57607     .56102     .54591     .53074     .51522     .50000

    1.00000     .99076     .98139     .97192     .96232     .95255     .94270
     .93269     .92260     .91227     .90186     .89129     .88053     .86948
     .85836     .84704     .83550     .82377     .81182     .79949     .78713
     .77454     .76174     .74872     .73549     .72203     .70837     .69451
     .68044     .66617     .65173     .63711     .62208     .60717     .59211
     .57695     .56168     .54634     .53093     .51548     .50000

    1.00000     .99097     .98183     .97259     .96320     .95371     .94408
     .93430     .92443     .91439     .90408     .89368     .88309     .87229
     .86129     .85006     .83851     .82685     .81496     .80285     .79050
     .77792     .76510     .75203     .73874     .72521     .71144     .69726
     .68306     .66865     .65404     .63923     .62425     .60910     .59381
     .57838     .56285     .54721     .53152     .51577     .50000

    1.00000     .99123     .98238     .97340     .96430     .95510     .94573
     .93629     .92664     .91677     .90676     .89655     .88615     .87540
     .86456     .85346     .84214     .83057     .81875     .80669     .79436
     .78179     .76894     .75571     .74236     .72876     .71490     .70080
     .68645     .67187     .65707     .64205     .62683     .61143     .59587
     .58015     .56431     .54837     .53235     .51628     .50000

    1.00000     .99155     .98299     .97431     .96555     .95666     .94764
     .93841     .92904     .91947     .90969     .89960     .88938     .87891
     .86822     .85726     .84605     .83456     .82281     .81068     .79839
     .78582     .77297     .75985     .74643     .73274     .71877     .70452
     .69001     .67524     .66021     .64495     .62947     .61377     .59776
     .58173     .56556     .54927     .53289     .51646     .50000

    1.00000     .99189     .98368     .97536     .96696     .95843     .94968
     .94079     .93169     .92233     .91279     .90301     .89298     .88270
     .87214     .86132     .85014     .83877     .82711     .81515     .80289
     .79034     .77747     .76431     .75083     .73704     .72295     .70855
     .69387     .67878     .66352     .64801     .63225     .61627     .60007
     .58369     .56715     .55048     .53370     .51686     .50000

    1.00000     .99227     .98444     .97652     .96848     .96027     .95190
     .94332     .93446     .92542     .91613     .90658     .89675     .88667
     .87621     .86556     .85459     .84333     .83176     .81988     .80766
     .79511     .78225     .76904     .75550     .74153     .72732     .71278
     .69792     .68274     .66725     .65147     .63540     .61909     .60254
     .58577     .56884     .55178     .53459     .51730     .50000

    1.00000     .99267     .98525     .97773     .97007     .96224     .95420
     .94590     .93739     .92861     .91956     .91026     .90060     .89071
     .88052     .87002     .85920     .84805     .83657     .82475     .81258
     .80000     .78713     .77389     .76030     .74633     .73201     .71731
     .70226     .68687     .67112     .65506     .63870     .62203     .60512
     .58798     .57064     .55313     .53550     .51776     .50000

    1.00000     .99308     .98608     .97898     .97172     .96424     .95650
     .94855     .94033     .93183     .92301     .91395     .90458     .89489
     .88488     .87455     .86387     .85284     .84141     .82967     .81757
     .80508     .79221     .77895     .76530     .75125     .73680     .72197
     .70674     .69111     .67513     .65879     .64211     .62509     .60780
     .59026     .57248     .55453     .53643     .51824     .50000


