# ************************************************ 
#     This table  has been made by using ../../Data/BaseM/BGO 
#     with Bremsstrahlung formula: # 1
#     and  Pair creation  formula: # 1.
#     Sun Feb 20 17:40:30 GMT+0900 2000 by K Kasahara using
#     version epics.uv5.20  
# 
#name   Format    Bi4Ge3O12
BGO 	1
#
#  Elem	 rho(g/cm^3)	Gas/Solid(1/0)   refl.index Birks C

3         7.1			0          2.15     0 0 0
# 	Z	A  	N
	83	208.98	4
	32	72.81	3
	8	16	12


 Excitation (Ionization) potential = 484.46 eV
 radation length=  1.12321504481774 cm  7.97482681820598 g/cm^2
 <Aeff>=  155.386889637742 <Zeff=>  62.5639755985657 <Z2/A>=   25.1903558390500
 plasma energy=  4.978614553556850E-008 GeV no density=  3.430590971236010E+021 /cm^3
 <Z2eff=>  3914.25104269792 <Z/A>=  .420427648734304
Migdal s1=  4.705950765365880E-004
 Conversion factors:
 g/cm^2 to cm=  .140845070422535
 mb to /(g/cm2)=  4.831818269346491E-007 mb to /cm=  3.430590971236010E-006 mb to /X0=  3.853291391508200E-006
 If a comound is specified as an Atom, use the
 following instead:   3.875575805680630E-006  2.751658822033250E-005  3.090704587113212E-005
 pi x Re**2 * N* Z /A *X0g  = 0.15 Z/A*X0g=  .503705599894340
 media.A, Z, Z^2=  1246.35000000000  524.000000000000  31396.0000000000

 **** Sternheimers consts
 a, b, c =  6.457768991286470E-002  14.5935598549645 -5.55171294129447
 x0, x1 =  .309858446658260  3.00000000000000
 sa, xa =  .211858762322495  1.20532197257178
 minimum dEdx_restricted=  1.051956946415710E-003 GeV/(g/cm^2)  with Tcut=  1.000000000000000E-004 GeV

 **** photoelectric consts
b0, b1, b2=  .292698852763634  1.23192571166203  .627811948368085
fa, a, p=  1.12744896734660  4.581576100279324E-004  .172813342138733
l, ek=  6.04487576254482  5.323381418069172E-005

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

BGO     
Seltzer Brems total X-sec. table upto E=  .100000000000000 GeV
  7.110000E-04  5.87208
  9.104920E-04  5.40014
  1.165957E-03  5.37638
  1.493101E-03  5.54843
  1.912034E-03  5.81658
  2.448512E-03  6.13557
  3.135514E-03  6.47824
  4.015274E-03  6.83123
  5.141878E-03  7.19165
  6.584583E-03  7.55303
  8.432082E-03  7.91420
  1.079795E-02  8.27481
  1.382763E-02  8.64371
  1.770738E-02  9.01824
  2.267571E-02  9.38095
  2.903805E-02  9.73575
  3.718552E-02  10.0976
  4.761902E-02  10.4719
  6.097994E-02  10.8400
  7.808965E-02  11.2049
  .100000  11.5625

Selzter Brems sampling table; log(v/vmin)/(1-u)
    2.81877    2.75747    2.70551    2.66096    2.62253    2.58909    2.55982
    2.53399    2.51106    2.49062    2.47227    2.45573    2.44077    2.42722
    2.41489    2.40370    2.39348    2.38418    2.37560    2.36765

    3.35398    3.26075    3.18718    3.12746    3.07798    3.03641    3.00096
    2.97045    2.94388    2.92064    2.90014    2.88197    2.86576    2.85131
    2.83831    2.82666    2.81610    2.80664    2.79814    2.79016

    3.72293    3.61436    3.53202    3.46693    3.41405    3.37033    3.33348
    3.30219    3.27519    3.25171    3.23118    3.21312    3.19725    3.18315
    3.17065    3.15955    3.14957    3.14066    3.13286    3.12550

    4.04198    3.92597    3.83971    3.77260    3.71884    3.67477    3.63818
    3.60712    3.58051    3.55760    3.53775    3.52052    3.50548    3.49226
    3.48070    3.47043    3.46133    3.45332    3.44624    3.43983

    4.34020    4.22053    4.13277    4.06520    4.01158    3.96810    3.93199
    3.90152    3.87569    3.85367    3.83477    3.81852    3.80441    3.79219
    3.78153    3.77220    3.76405    3.75684    3.75050    3.74492

    4.63202    4.51100    4.42323    4.35625    4.30345    4.26086    4.22554
    4.19603    4.17128    4.15034    4.13254    4.11739    4.10439    4.09322
    4.08360    4.07522    4.06794    4.06158    4.05602    4.05129

    4.91791    4.79707    4.71024    4.64451    4.59308    4.55154    4.51734
    4.48903    4.46545    4.44573    4.42915    4.41513    4.40324    4.39313
    4.38444    4.37703    4.37069    4.36514    4.36040    4.35626

    5.20355    5.08414    4.99903    4.93498    4.88510    4.84472    4.81174
    4.78466    4.76234    4.74381    4.72839    4.71546    4.70463    4.69548
    4.68778    4.68122    4.67562    4.67092    4.66679    4.66324

    5.48689    5.36930    5.28592    5.22339    5.17469    5.13529    5.10330
    5.07725    5.05595    5.03848    5.02403    5.01209    5.00217    4.99384
    4.98694    4.98110    4.97618    4.97204    4.96836    4.96547

    5.76930    5.65357    5.57183    5.51074    5.46306    5.42449    5.39340
    5.36828    5.34790    5.33135    5.31782    5.30672    5.29759    5.29003
    5.28379    5.27861    5.27432    5.27064    5.26745    5.26502

    6.05074    5.93705    5.85697    5.79734    5.75052    5.71275    5.68249
    5.65820    5.63874    5.62305    5.61033    5.60007    5.59167    5.58480
    5.57923    5.57461    5.57076    5.56762    5.56505    5.56275

    6.33093    6.21930    6.14087    6.08267    6.03672    5.99985    5.97044
    5.94702    5.92831    5.91334    5.90135    5.89165    5.88387    5.87758
    5.87246    5.86825    5.86480    5.86198    5.85969    5.85780

    6.60836    6.49816    6.42085    6.36354    6.31806    6.28177    6.25306
    6.23037    6.21244    6.19825    6.18696    6.17803    6.17083    6.16515
    6.16054    6.15677    6.15379    6.15140    6.14940    6.14772

    6.88222    6.77288    6.69623    6.63941    6.59423    6.55847    6.53043
    6.50851    6.49137    6.47794    6.46743    6.45910    6.45260    6.44741
    6.44327    6.44001    6.43730    6.43529    6.43350    6.43213

    7.15575    7.04808    6.97275    6.91686    6.87236    6.83740    6.81026
    6.78924    6.77300    6.76041    6.75065    6.74303    6.73715    6.73246
    6.72880    6.72598    6.72370    6.72186    6.72021    6.71922

    7.42785    7.32234    7.24884    7.19420    7.15069    7.11679    7.09069
    7.07071    7.05540    7.04369    7.03471    7.02779    7.02248    7.01834
    7.01510    7.01259    7.01068    7.00910    7.00796    7.00690

    7.69614    7.59203    7.51977    7.46593    7.42317    7.39017    7.36503
    7.34597    7.33156    7.32066    7.31238    7.30608    7.30129    7.29764
    7.29478    7.29265    7.29089    7.28954    7.28846    7.28774

    7.95965    7.85574    7.78384    7.73009    7.68775    7.65542    7.63110
    7.61288    7.59927    7.58907    7.58143    7.57571    7.57138    7.56809
    7.56563    7.56374    7.56220    7.56111    7.56032    7.55955

    8.22139    8.11787    8.04657    7.99313    7.95145    7.92004    7.89667
    7.87940    7.86663    7.85719    7.85020    7.84502    7.84113    7.83824
    7.83607    7.83440    7.83315    7.83226    7.83158    7.83089

    8.48125    8.37807    8.30739    8.25436    8.21355    8.18319    8.16089
    8.14461    8.13271    8.12403    8.11765    8.11299    8.10956    8.10700
    8.10512    8.10367    8.10263    8.10182    8.10110    8.10074

    8.75381    8.66046    8.60076    8.56132    8.53462    8.51627    8.50350
    8.49455    8.48822    8.48370    8.48048    8.47817    8.47650    8.47528
    8.47436    8.47368    8.47321    8.47287    8.47269    8.35261


Seltzer Brems sampling tbl in B; log(v/vmin)
    5.24243    5.16415    5.24354    5.24066    5.24030    5.23882    5.24038
    5.23290    5.22136    5.20500    5.18897    5.16516    5.13670    5.10007
    5.05260    4.99476    4.92887    4.85480    4.77318    4.68441    4.58836

    8.99849    9.01911    8.99619    8.99520    8.99123    8.98172    8.95887
    8.93703    8.88941    8.82935    8.74621    8.63839    8.50466    8.34447
    8.15846    7.94956    7.72121    7.47607    7.21905    6.95544    6.69013

   13.27589   13.24155   13.28923   13.27697   13.26286   13.23332   13.18011
   13.09280   12.95895   12.77700   12.53564   12.23850   11.89299   11.50125
   11.07563   10.62442   10.15859    9.68685    9.21817    8.75857    8.31349

   17.78581   17.84101   17.77151   17.76006   17.72295   17.64447   17.50063
   17.28635   16.98443   16.58300   16.08442   15.50404   14.86037   14.17379
   13.46461   12.75094   12.04689   11.36247   10.70602   10.08192    9.49332

   22.45054   22.44091   22.41930   22.38854   22.30652   22.13569   21.84394
   21.40410   20.80711   20.05442   19.18932   18.24311   17.25741   16.26384
   15.28694   14.34365   13.44352   12.59327   11.79584   11.05229   10.36201

   26.85818   26.84991   26.87659   26.81045   26.66194   26.36506   25.85531
   25.06815   24.02690   22.81181   21.51635   20.19891   18.90773   17.67119
   16.50198   15.40460   14.37953   13.42686   12.54409   11.72849   10.97761

   31.29856   31.44665   31.41507   31.30595   31.09477   30.61183   29.70551
   28.37820   26.75332   25.00011   23.26351   21.60872   20.06770   18.64808
   17.34223   16.14056   15.03514   14.01899   13.08498   12.22663   11.43933

   35.31919   35.47093   35.57122   35.39806   35.13740   34.38123   32.92655
   30.92475   28.67115   26.41331   24.30731   22.39463   20.68950   19.16516
   17.79406   16.55017   15.41676   14.38000   13.43026   12.55845   11.75955

   39.17210   39.49251   39.51080   39.27169   38.90277   37.76764   35.65740
   32.91548   30.01691   27.29064   24.87314   22.77359   20.96258   19.38842
   18.00229   16.76081   15.63567   14.60610   13.66153   12.79336   11.99715

   42.82336   43.32132   43.17424   42.87260   42.38532   40.67125   37.71551
   34.20983   30.74478   27.66523   25.05427   22.85173   20.99967   19.41918
   18.04516   16.82512   15.72475   14.71861   13.79667   12.94762   12.16743

   46.29586   46.76698   46.62110   46.30911   45.43820   42.91982   39.11250
   34.90721   31.00503   27.67743   24.94318   22.69607   20.84458   19.29040
   17.95494   16.77670   15.71879   14.75182   13.86462   13.04527   12.29026

   49.58178   50.02001   49.79198   49.35278   47.97600   44.55038   39.88521
   35.09000   30.86472   27.38874   24.60852   22.37129   20.55701   19.05386
   17.77373   16.65294   15.64882   14.73116   13.88757   13.10579   12.38212

   52.84825   53.27125   52.86576   52.12140   50.12407   45.66583   40.17896
   34.90958   30.44967   26.89340   24.12765   21.94446   20.19820   18.76520
   17.55479   16.49806   15.55367   14.69016   13.89520   13.15513   12.46657

   55.93866   56.33037   55.67585   54.47835   51.63023   46.08287   39.92477
   34.34986   29.79352   26.25873   23.55506   21.46343   19.80708   18.46014
   17.32889   16.34085   15.46025   14.65365   13.90871   13.21176   12.55875

   58.88427   59.19755   58.40122   56.59581   52.40730   45.79372   39.11933
   33.45078   28.96872   25.53776   22.94595   20.95025   19.38430   18.12177
   17.07248   16.15975   15.34696   14.60045   13.90697   13.25280   12.63497

   61.69362   61.87296   61.04209   58.22619   52.42191   45.02342   38.08154
   32.42611   28.06407   24.77064   22.30390   20.41968   18.95408   17.77967
   16.81313   15.97681   15.23381   14.54795   13.90550   13.29317   12.70957

   64.44641   64.54745   63.52708   59.39551   52.03744   43.97070   36.88833
   31.31751   27.11627   23.98802   21.66680   19.90638   18.54842   17.46906
   16.58607   15.82520   15.15066   14.52397   13.93105   13.35889   12.80728

   67.19742   67.22118   65.76092   60.26438   51.53110   42.75769   35.54157
   30.10540   26.12608   23.21336   21.06526   19.44350   18.19574   17.20873
   16.40878   15.72144   15.11326   14.54362   13.99681   13.46179   12.93928

   69.85463   69.89429   67.80332   60.72904   50.57675   41.28888   34.12879
   28.88879   25.16373   22.46752   20.49271   19.00209   17.86563   16.96932
   16.25113   15.63789   15.09486   14.58060   14.07783   13.57665   13.08044

   72.45236   72.37619   69.69018   60.58898   49.16584   39.71193   32.77831
   27.77820   24.26966   21.76049   19.94052   18.57978   17.55643   16.75788
   16.12395   15.58282   15.10059   14.63695   14.17494   13.70553   13.23338

   74.96005 1377.27383  279.46743  119.45775   70.10963   48.38392   36.82748
   29.89189   25.40550   22.35132   20.20951   18.67472   17.55009   16.71211
   16.06510   15.53617   15.06893   14.62410   14.17889   13.72583   13.26795


 constant for Brems sampling table at low energies
  37.8368738304753  1.000000000000000E-004  1.000000000000000E-002 -2.00000000000000  37.8368738304753  1.598591535863742E-002  .100000000000000  1.00000000000000  35  4.736842105263160E-002  .105232801376566  .105232801376566  .000000000000000  .562341325190349  2.811706625951750E-002  35  20  21

BGO     
Brems total X-sec. table upto E=  37.8368738304753 GeV
  1.000000E-02  4.92519
  1.274186E-02  5.29576
  1.623550E-02  5.66940
  2.068704E-02  6.03689
  2.635914E-02  6.40041
  3.358644E-02  6.75943
  4.279537E-02  7.12513
  5.452926E-02  7.49006
  6.948042E-02  7.84969
  8.853097E-02  8.20910
  .112805  8.59734
  .143734  8.94923
  .183144  9.29797
  .233360  9.64398
  .297344  9.98761
  .378872  10.3292
  .482753  10.6719
  .615117  11.0173
  .783773  11.3540
  .998673  11.6671
  1.27249  11.9423
  1.62139  12.1675
  2.06596  12.3344
  2.63242  12.4395
  3.35419  12.4832
  4.27386  12.4695
  5.44569  12.4033
  6.93882  12.2913
  8.84135  12.1397
  11.2655  11.9547
  14.3544  11.7421
  18.2901  11.5068
  23.3050  11.2530
  29.6949  10.9844
  37.8369  10.6090

Brems sampling table at low E for Small Eg
    4.10687    4.00756    3.93255    3.87356    3.82574    3.78613    3.75276
    3.72394    3.69813    3.67518    3.65484    3.63685    3.62096    3.60690
    3.59447    3.58340    3.57361    3.56481    3.55705    3.55018

    4.36813    4.26933    4.19484    4.13641    4.08925    4.05030    4.01758
    3.98887    3.96336    3.94088    3.92112    3.90380    3.88856    3.87518
    3.86340    3.85305    3.84387    3.83588    3.82856    3.82234

    4.62732    4.52845    4.45389    4.39551    4.34851    4.30981    4.27708
    4.24813    4.22271    4.20054    4.18119    4.16440    4.14977    4.13705
    4.12594    4.11630    4.10782    4.10046    4.09382    4.08822

    4.88637    4.78799    4.71394    4.65612    4.60972    4.57163    4.53899
    4.51021    4.48518    4.46355    4.44487    4.42880    4.41495    4.40301
    4.39269    4.38377    4.37606    4.36938    4.36347    4.35849

    5.14560    5.04805    4.97491    4.91802    4.87251    4.83520    4.80277
    4.77443    4.75001    4.72912    4.71125    4.69601    4.68302    4.67192
    4.66247    4.65435    4.64740    4.64131    4.63625    4.63178

    5.40231    5.30538    5.23314    5.17727    5.13278    5.09612    5.06408
    5.03638    5.01274    4.99271    4.97578    4.96148    4.94941    4.93919
    4.93054    4.92323    4.91698    4.91163    4.90705    4.90329

    5.65641    5.55918    5.48690    5.43121    5.38699    5.35022    5.31821
    5.29086    5.26779    5.24847    5.23233    5.21881    5.20756    5.19808
    5.19019    5.18353    5.17800    5.17325    5.16940    5.16591

    5.90876    5.81110    5.73869    5.68311    5.63910    5.60210    5.57022
    5.54336    5.52103    5.50250    5.48716    5.47453    5.46403    5.45539
    5.44823    5.44223    5.43730    5.43309    5.42948    5.42670

    6.16007    6.06205    5.98976    5.93451    5.89090    5.85391    5.82253
    5.79646    5.77503    5.75745    5.74309    5.73135    5.72176    5.71389
    5.70743    5.70215    5.69775    5.69420    5.69132    5.68864

    6.40899    6.31024    6.23771    6.18260    6.13906    6.10214    6.07133
    6.04609    6.02559    6.00899    5.99560    5.98476    5.97605    5.96892
    5.96315    5.95850    5.95467    5.95154    5.94888    5.94677

    6.66347    6.56973    6.50334    6.45530    6.41987    6.39329    6.37314
    6.35770    6.34578    6.33649    6.32925    6.32358    6.31907    6.31550
    6.31262    6.31037    6.30859    6.30711    6.30590    6.30491

    6.91122    6.81708    6.75107    6.70377    6.66921    6.64355    6.62427
    6.60964    6.59846    6.58985    6.58320    6.57800    6.57397    6.57078
    6.56830    6.56632    6.56473    6.56345    6.56226    6.56160

    7.15721    7.06273    6.99713    6.95061    6.91693    6.89217    6.87375
    6.85991    6.84943    6.84146    6.83534    6.83065    6.82702    6.82419
    6.82195    6.82024    6.81883    6.81772    6.81690    6.81620

    7.40166    7.30687    7.24175    7.19601    7.16323    7.13936    7.12178
    7.10871    7.09892    7.09153    7.08592    7.08166    7.07840    7.07584
    7.07392    7.07239    7.07118    7.07028    7.06960    7.06897

    7.64471    7.54969    7.48510    7.44020    7.40831    7.38534    7.36859
    7.35624    7.34709    7.34027    7.33514    7.33128    7.32833    7.32612
    7.32438    7.32306    7.32209    7.32131    7.32066    7.32015

    7.88655    7.79137    7.72738    7.68333    7.65238    7.63028    7.61435
    7.60271    7.59418    7.58786    7.58318    7.57969    7.57706    7.57507
    7.57360    7.57246    7.57156    7.57080    7.57031    7.56993

    8.12705    8.03169    7.96821    7.92490    7.89470    7.87328    7.85788
    7.84666    7.83839    7.83217    7.82742    7.82365    7.82053    7.81772
    7.81495    7.81177    7.80733    7.79940    7.77713    7.74317

    8.36621    8.27055    8.20745    8.16469    8.13497    8.11391    8.09868
    8.08744    8.07889    8.07214    8.06655    8.06157    8.05675    8.05151
    8.04525    8.03671    8.02316    7.99906    7.98761    8.00583

    8.60545    8.50992    8.44762    8.40582    8.37707    8.35690    8.34244
    8.33186    8.32389    8.31763    8.31246    8.30785    8.30336    8.29848
    8.29255    8.28447    8.27496    8.29061    8.34123    8.43691

    8.84644    8.75215    8.69177    8.65216    8.62574    8.60803    8.59619
    8.58843    8.58358    8.58093    8.57999    8.58053    8.58255    8.58625
    8.59222    8.60543    8.65122    8.74026    8.88014    9.08549

    9.09080    8.99945    8.94279    8.90736    8.88557    8.87292    8.86674
    8.86538    8.86795    8.87402    8.88362    8.89721    8.91593    8.94180
    8.98129    9.05911    9.18731    9.37642    9.64144   10.00299

    9.33985    9.25365    9.20309    9.17452    9.16037    9.15630    9.15986
    9.16971    9.18537    9.20704    9.23559    9.27280    9.32180    9.38902
    9.49843    9.66482    9.90066   10.22327   10.65795   11.24530

    9.59448    9.51599    9.47428    9.45565    9.45269    9.46130    9.47935
    9.50601    9.54142    9.58672    9.64408    9.71724    9.81236    9.95051
   10.15119   10.42832   10.80123   11.29825   11.96449   12.87691

    9.85510    9.78699    9.75705    9.75170    9.76372    9.78936    9.82698
    9.87642    9.93869   10.01616   10.11281   10.23503   10.39825   10.62679
   10.93714   11.34920   11.89289   12.61482   13.59388   14.97554

   10.12168   10.06664   10.05139   10.06256   10.09330   10.14032   10.20257
   10.28073   10.37693   10.49507   10.64139   10.82681   11.07719   11.41058
   11.84927   12.42219   13.17490   14.18238   15.57887   17.63677

   10.39391   10.35441   10.35656   10.38734   10.44032   10.51278   10.60443
   10.71685   10.85358   11.02037   11.22617   11.49078   11.83962   12.29218
   12.87792   13.63886   14.64281   16.00627   17.95229   20.97910

   10.67130   10.64963   10.67166   10.72485   10.80329   10.90491   11.03026
   11.18206   11.36536   11.58806   11.86333   12.21829   12.67551   13.26003
   14.01128   14.98800   16.28774   18.08646   20.74225   25.14733

   10.95324   10.95140   10.99549   11.07354   11.18025   11.31429   11.47711
   11.67274   11.90791   12.19292   12.54784   13.00044   13.57408   14.30293
   15.23730   16.45710   18.09880   20.41865   23.97368   30.32068

   11.23915   11.25889   11.32690   11.43193   11.56933   11.73856   11.94213
   12.18541   12.47698   12.83023   13.27222   13.82771   14.52609   15.40982
   16.54362   18.03290   20.06228   22.99303   27.66326   36.71804

   11.52847   11.57124   11.66478   11.79858   11.96870   12.17550   12.42258
   12.71673   13.06856   13.49651   14.02923   14.69264   15.52207   16.57031
   17.91853   19.70172   22.16285   25.79590   31.81978   44.60660

   11.82064   11.88769   12.00809   12.17213   12.37667   12.62299   12.91582
   13.26353   13.67884   14.18630   14.81280   15.58795   16.55423   17.77523
   19.35103   21.45047   24.38485   28.80978   36.44224   54.31286

   12.11521   12.20758   12.35591   12.55140   12.79177   13.07917   13.41962
   13.82306   14.30564   14.89504   15.61754   16.50765   17.61542   19.01642
   20.83136   23.26677   26.71209   32.01453   41.51878   66.23387

   12.41179   12.53035   12.70751   12.93546   13.21274   13.54255   13.93213
   14.39307   14.94625   15.61877   16.43901   17.44664   18.69964   20.28661
   22.35036   25.13897   29.12906   35.38820   47.02875   80.85065

   12.71003   12.85551   13.06223   13.32343   13.63854   14.01177   14.45167
   14.97187   15.59756   16.35424   17.27348   18.40053   19.80183   21.57958
   23.90035   27.05671   31.62085   38.90879   52.94317   98.74644

   13.01530   13.18582   13.41997   13.71209   14.06251   14.47637   14.96247
   15.54219   16.24314   17.08485   18.10368   19.35109   20.90216   22.87333
   25.45578   28.98903   34.14736   42.51812   59.16640  120.41311


Brems sampling tbl at low E for large Eg
   29.45361   29.53570   29.52748   29.34507   28.97878   27.90113   25.90243
   23.47903   21.03741   18.82762   16.94977   15.39615   14.10767   13.03584
   12.13513   11.36358   10.68857   10.08568    9.53809    9.03335    8.56513

   32.30254   32.44391   32.34178   32.01730   31.42686   29.80022   27.16926
   24.23722   21.45780   19.05168   17.06893   15.46902   14.16942   13.10400
   12.21940   11.46631   10.81015   10.22579    9.69596    9.20654    8.75222

   35.09982   35.34622   35.01957   34.43476   33.54883   31.24765   27.96673
   24.61395   21.58395   19.05072   17.02261   15.42130   14.14274   13.10975
   12.25838   11.53685   10.90760   10.34740    9.83937    9.36922    8.93213

   37.79391   37.86345   37.63201   36.82462   35.31708   32.15338   28.28946
   24.59677   21.43954   18.88947   16.87638   15.30691   14.06375   13.06720
   12.25151   11.56537   10.96880   10.43939    9.95820    9.51101    9.09339

   40.47949   40.56486   40.21523   39.06320   36.60935   32.62383   28.26515
   24.35796   21.15048   18.61693   16.64796   15.12638   13.92948   12.97807
   12.20435   11.55832   10.99976   10.50474   10.05445    9.63367    9.23791

   43.04512   43.07141   42.67477   40.98162   37.33693   32.58405   27.95327
   23.94073   20.74877   18.27248   16.37608   14.92022   13.78473   12.88675
   12.16016   11.55801   11.03894   10.58049   10.16214    9.76744    9.39285

   45.64257   45.76391   45.08242   42.57058   37.87524   32.42376   27.46671
   23.40663   20.26497   17.88317   16.07379   14.69762   13.63255   12.79745
   12.12433   11.56973   11.09263   10.67080   10.28420    9.91613    9.56251

   48.18899   48.26251   47.31973   43.94340   38.20950   32.02004   26.80371
   22.70387   19.66301   17.42301   15.74429   14.47474   13.48941   12.71603
   12.09391   11.58570   11.15093   10.76802   10.41469   10.07381    9.74025

   50.69406   50.75795   49.48232   44.93804   37.99032   31.26965   26.04788
   22.04236   19.13277   17.00693   15.43313   14.24841   13.33605   12.62952
   12.06411   11.60758   11.21722   10.87297   10.55176   10.23629    9.92186

   53.16814   53.25071   51.51110   45.53129   37.45197   30.42607   25.24596
   21.38600   18.61096   16.61077   15.14213   14.04579   13.20401   12.56450
   12.05816   11.65570   11.31057   11.00297   10.71108   10.41841   10.12071

 1619.01890 1091.45215  229.40271   96.87497   56.32833   38.59340   29.16831
   23.52567   19.87279   17.37704   15.61595   14.34286   13.40732   12.71119
   12.18231   11.76953   11.42963   11.12958   10.84442   10.55903   10.26586

 1695.39015 1020.13949  204.40840   87.90680   51.82730   35.88897   27.42956
   22.32145   19.01087   16.75650   15.17714   14.04567   13.22156   12.61487
   12.16159   11.81090   11.52255   11.26342   11.00970   10.74663   10.46905

 1769.78683  917.48130  182.15823   79.85787   47.77666   33.52539   25.85475
   21.23623   18.24263   16.22077   14.80881   13.80506   13.08543   12.56349
   12.17965   11.88639   11.64474   11.42195   11.19525   10.95111   10.68575

 1842.48344  811.91090  162.83368   72.73887   44.16295   31.37957   24.44159
   20.26885   17.57350   15.75812   14.50330   13.62275   12.99772   12.55443
   12.23527   11.99408   11.79435   11.60375   11.39998   11.17120   10.91494

 1913.72886  713.55316  145.85269   66.43538   40.93748   29.43170   23.18058
   19.41424   16.99450   15.37437   14.26196   13.49279   12.95799   12.58559
   12.32490   12.13185   11.96936   11.80661   11.62245   11.40529   11.15515

 1983.74458  626.04418  130.87117   60.85148   38.05962   27.70447   22.06376
   18.66814   16.49713   15.05664   14.08138   13.41463   12.96095   12.65498
   12.44778   12.29758   12.16819   12.02932   11.86061   11.65198   11.40525

 2053.27063  548.05683  117.80703   55.86509   35.49756   26.14568   21.06598
   18.01700   16.08555   14.81137   13.95831   13.38605   13.00753   12.76243
   12.60382   12.49175   12.39164   12.27287   12.11581   11.91281   11.66687

 2122.75778  480.35970  106.38679   51.45066   33.20967   24.77756   20.19799
   17.47691   15.75109   14.62934   13.89173   13.40815   13.09732   12.90674
   12.79217   12.71430   12.63929   12.53661   12.38811   12.18739   11.93968

 2190.07250  421.43037   96.20556   47.51180   31.15058   23.58151   19.45084
   17.00198   15.47894   14.50136   13.86561   13.46134   13.21279   13.07160
   12.99661   12.94923   12.89544   12.80624   12.66339   12.46279   12.21150

 2252.45295  370.31749   87.16835   43.96146   29.27633   22.46113   18.75909
   16.59798   15.25436   14.39926   13.86147   13.52783   13.33524   13.23889
   13.19817   13.17789   13.14232   13.06342   12.92431   12.72253   12.46699

 2307.18026  325.30580   79.09655   40.72432   27.54968   21.44039   18.13431
   16.21981   15.04490   14.31036   13.85596   13.58647   13.44602   13.38867
   13.37924   13.38155   13.36164   13.29137   13.15501   12.95152   12.69194

 2351.94644  286.39636   71.82338   37.74155   25.94382   20.46909   17.55230
   15.86471   14.84289   14.21471   13.83596   13.62485   13.52766   13.50459
   13.52212   13.54456   13.53830   13.47547   13.34157   13.13712   12.87445

 2385.22653  251.68226   65.21780   34.97785   24.43938   19.57854   16.99026
   15.51009   14.62905   14.09647   13.78858   13.62894   13.56901   13.57667
   13.61725   13.65643   13.66156   13.60588   13.47497   13.27086   13.00645

 2406.35152  221.54546   59.22026   32.41912   23.02817   18.72618   16.44662
   15.15513   14.40290   13.95534   13.70860   13.59169   13.56506   13.59761
   13.65707   13.71136   13.72691   13.67794   13.55120   13.34853   13.08462

 2415.44710  195.22322   53.77117   30.04418   21.70349   17.90926   15.90112
   14.79915   14.15801   13.78731   13.59086   13.51131   13.51331   13.56556
   13.64089   13.70770   13.73302   13.69129   13.56963   13.37051   13.10887

 2413.28859  171.95270   48.84674   27.84833   20.46387   17.12719   15.39138
   14.43168   13.89429   13.58853   13.43787   13.38951   13.41371   13.48322
   13.57210   13.64909   13.68312   13.64911   13.53361   13.33971   13.08211

 2400.87203  151.35249   44.38735   25.81978   19.30558   16.37844   14.87876
   14.07292   13.61150   13.36266   13.25203   13.22969   13.27114   13.35416
   13.45334   13.53970   13.58213   13.55561   13.44761   13.26065   13.00900

 2379.48508  133.61342   40.34531   23.95620   18.22637   15.66210   14.38179
   13.69184   13.31563   13.11724   13.03580   13.03525   13.09177   13.18468
   13.29210   13.38523   13.43532   13.41699   13.31742   13.13869   12.89486

 2350.37865  117.97253   36.69677   22.24579   17.22401   15.01645   13.89997
   13.31894   13.00645   12.84834   12.79415   12.81135   12.87923   12.98020
   13.09312   13.19253   13.24972   13.23947   13.14912   12.97969   12.74488

 2314.74322  104.04833   33.39405   20.68384   16.29402   14.40045   13.43248
   12.94354   12.68977   12.56721   12.53195   12.56307   12.63838   12.74519
   12.86323   12.96734   13.03064   13.02829   12.94774   12.78885   12.56427

 2273.70680   92.03158   30.42521   19.25621   15.43341   13.77372   12.97876
   12.57559   12.36541   12.26992   12.25418   12.29381   12.37661   12.48686
   12.60711   12.71488   12.78342   12.78970   12.71886   12.57117   12.35770

 2228.25519   81.35004   27.75447   17.95582   14.63622   13.21215   12.53755
   12.20416   12.03301   11.96386   11.96067   12.00869   12.09629   12.20788
   12.33024   12.44039   12.51384   12.52761   12.46726   12.33121   12.12988

 2179.19480   72.00372   25.34606   16.76853   13.89796   12.67474   12.12694
   11.83902   11.69829   11.64882   11.65631   11.71104   11.80104   11.91362
   12.03596   12.14751   12.22516   12.24663   12.19666   12.07267   11.88385

 2127.23944   63.99261   23.17613   15.68963   13.21266   12.19821   11.70785
   11.46934   11.36094   11.32839   11.34598   11.40421   11.49448   11.60672
   11.72762   11.84041   11.92149   11.95002   11.91022   11.79860   11.62267

   10.51719   10.58579   10.51472   10.51937   10.52344   10.54845   10.55269
   10.56920   10.61019   10.66290   10.73682   10.82963   10.94489   11.07649
   11.21651   11.35111   11.45894   11.51925   11.51503   11.43999   11.29835


 constant for Brems sampling table at high energies
  3.783687383047530E-004  37.8368738304753  1.57791524680323  50  5.000000000000000E-002  .100000000000000  3005489.71972468  5.000000000000000E-002  .200000000000000  1.00000000000000  17  .000000000000000  .668740304976422  16  15  4.458268699842813E-002  50  7.500000000000000E-002  179025.644880561  4.00000000000000

BGO     
Brems total X-sec. table with C.S+LPM upto E=  3005489.71972469 GeV
  37.8369  10.5404
  47.6338  10.2027
  59.9674  9.94923
  75.4945  9.68532
  95.0419  9.41199
  119.651  9.13181
  150.631  8.84737
  189.634  8.55788
  238.735  8.26464
  300.549  7.96853
  378.369  7.67381
  476.338  7.37570
  599.674  7.07707
  754.945  6.78074
  950.419  6.48369
  1196.51  6.18800
  1506.31  5.89565
  1896.34  5.60513
  2387.35  5.31795
  3005.49  5.03590
  3783.69  4.75797
  4763.38  4.48623
  5996.74  4.22032
  7549.45  3.96185
  9504.19  3.71052
  11965.1  3.46790
  15063.1  3.23383
  18963.4  3.00871
  23873.5  2.79349
  30054.9  2.58802
  37836.9  2.39256
  47633.8  2.20721
  59967.4  2.03236
  75494.5  1.86772
  95041.9  1.71319
  119651.  1.56860
  150631.  1.43373
  189634.  1.30831
  238735.  1.19196
  300549.  1.08450
  378369.  .985387
  476338.  .894185
  599674.  .810454
  754945.  .733742
  950419.  .663598
  1.196507E+06  .599576
  1.506313E+06  .541238
  1.896336E+06  .488161
  2.387345E+06  .439941
  3.005490E+06  .396191

Brems with LPM sampling tbl for small Eg
     .43890     .37669     .32698     .28649     .25315     .22589     .20362
     .18519     .16975     .15666     .14544     .13569     .12710     .11942
     .11237     .10560     .09805

     .44671     .38430     .33441     .29367     .26033     .23337     .21135
     .19296     .17745     .16423     .15284     .14289     .13408     .12615
     .11883     .11173     .10356

     .45482     .39269     .34295     .30222     .26921     .24251     .22027
     .20178     .18610     .17267     .16104     .15083     .14176     .13355
     .12592     .11845     .10955

     .46322     .40139     .35186     .31136     .27858     .25194     .22967
     .21106     .19520     .18156     .16969     .15923     .14988     .14138
     .13343     .12556     .11587

     .47190     .41042     .36107     .32084     .28842     .26171     .23954
     .22081     .20478     .19092     .17880     .16807     .15845     .14965
     .14137     .13310     .12253

     .48091     .41982     .37061     .33088     .29868     .27216     .24993
     .23098     .21478     .20070     .18835     .17736     .16745     .15835
     .14973     .14104     .12952

     .49017     .42951     .38061     .34141     .30943     .28297     .26063
     .24165     .22527     .21099     .19838     .18713     .17693     .16752
     .15856     .14943     .13687

     .49976     .43956     .39100     .35224     .32054     .29415     .27185
     .25275     .23621     .22171     .20887     .19735     .18687     .17714
     .16783     .15825     .14456

     .50954     .44967     .40211     .36378     .33230     .30598     .28363
     .26442     .24770     .23299     .21990     .20811     .19733     .18730
     .17762     .16757     .15265

     .51970     .46053     .41346     .37559     .34436     .31813     .29577
     .27645     .25958     .24467     .23134     .21929     .20823     .19788
     .18784     .17732     .16107

     .53022     .47161     .42512     .38773     .35676     .33064     .30828
     .28889     .27187     .25677     .24322     .23092     .21958     .20891
     .19852     .18751     .16984

     .54087     .48279     .43765     .40066     .36990     .34385     .32146
     .30197     .28479     .26949     .25572     .24315     .23153     .22054
     .20977     .19827     .17905

     .55164     .49522     .45020     .41366     .38317     .35724     .33487
     .31531     .29801     .28254     .26855     .25575     .24385     .23255
     .22142     .20942     .18856

     .56320     .50776     .46354     .42743     .39715     .37131     .34893
     .32928     .31185     .29620     .28200     .26895     .25678     .24517
     .23365     .22114     .19853

     .57498     .52058     .47687     .44128     .41126     .38555     .36320
     .34351     .32597     .31017     .29578     .28251     .27007     .25816
     .24628     .23327     .20879

     .58695     .53395     .49105     .45583     .42603     .40043     .37809
     .35834     .34069     .32474     .31015     .29665     .28396     .27174
     .25950     .24596     .21966

     .59992     .54757     .50559     .47046     .44094     .41547     .39318
     .37341     .35568     .33960     .32484     .31114     .29820     .28570
     .27310     .25905     .23200

     .61271     .56168     .52009     .48573     .45644     .43109     .40884
     .38904     .37122     .35501     .34009     .32619     .31301     .30022
     .28726     .27270     .24488

     .62632     .57600     .53532     .50105     .47206     .44687     .42468
     .40488     .38701     .37070     .35564     .34155     .32815     .31509
     .30179     .28673     .25817

     .63982     .59076     .55048     .51694     .48819     .46315     .44102
     .42122     .40329     .38688     .37168     .35742     .34381     .33049
     .31685     .30129     .27197

     .65397     .60568     .56628     .53286     .50443     .47955     .45752
     .43774     .41979     .40330     .38799     .37358     .35978     .34621
     .33225     .31621     .28616

     .66802     .62096     .58198     .54928     .52110     .49639     .47444
     .45469     .43671     .42016     .40474     .39019     .37620     .36240
     .34812     .33160     .30084

     .68259     .63635     .59824     .56568     .53782     .51331     .49147
     .47177     .45379     .43720     .42171     .40703     .39288     .37886
     .36428     .34730     .31587

     .69704     .65201     .61435     .58251     .55491     .53058     .50885
     .48921     .47124     .45461     .43904     .42426     .40995     .39573
     .38086     .36342     .33136

     .71188     .66772     .63094     .59951     .57198     .54788     .52629
     .50672     .48878     .47214     .45652     .44165     .42721     .41280
     .39767     .37980     .34714

     .72657     .68363     .64730     .61636     .58937     .56546     .54400
     .52451     .50661     .48997     .47431     .45936     .44480     .43022
     .41483     .39653     .36332

     .74154     .69951     .66409     .63358     .60688     .58299     .56169
     .54230     .52445     .50783     .49215     .47714     .46249     .44776
     .43214     .41344     .37974

     .75627     .71551     .68074     .65053     .62419     .60074     .57959
     .56031     .54252     .52592     .51024     .49518     .48044     .46557
     .44973     .43064     .39651

     .77116     .73130     .69730     .66774     .64171     .61848     .59750
     .57833     .56061     .54406     .52838     .51330     .49849     .48349
     .46745     .44800     .41350

     .78581     .74732     .71402     .68493     .65905     .63608     .61530
     .59627     .57865     .56215     .54649     .53140     .51654     .50145
     .48522     .46543     .43064

     .80051     .76312     .73039     .70183     .67650     .65378     .63317
     .61427     .59674     .58031     .56468     .54959     .53470     .51952
     .50313     .48301     .44801

     .81499     .77865     .74688     .71882     .69382     .67134     .65092
     .63217     .61475     .59839     .58281     .56773     .55282     .53757
     .52104     .50062     .46548

     .82917     .79423     .76321     .73566     .71102     .68866     .66846
     .64986     .63257     .61630     .60078     .58574     .57082     .55552
     .53886     .51817     .48299

     .84323     .80949     .77924     .75210     .72786     .70595     .68594
     .66750     .65033     .63416     .61871     .60370     .58879     .57345
     .55668     .53575     .50060

     .85699     .82435     .79497     .76852     .74465     .72300     .70320
     .68492     .66788     .65181     .63643     .62148     .60659     .59122
     .57436     .55321     .51819

     .87042     .83913     .81056     .78465     .76117     .73979     .72019
     .70208     .68517     .66921     .65392     .63903     .62417     .60880
     .59187     .57051     .53572

     .88345     .85357     .82585     .80050     .77740     .75616     .73682
     .71890     .70214     .68630     .67111     .65629     .64147     .62611
     .60912     .58761     .55314

     .89619     .86759     .84071     .81582     .79315     .77238     .75324
     .73550     .71888     .70316     .68807     .67333     .65857     .64322
     .62620     .60453     .57048

     .90852     .88122     .85513     .83098     .80870     .78822     .76930
     .75174     .73527     .71967     .70468     .69003     .67533     .66001
     .64297     .62119     .58764

     .92042     .89438     .86931     .84573     .82386     .80366     .78497
     .76758     .75126     .73579     .72091     .70635     .69172     .67645
     .65940     .63753     .60459

     .93182     .90724     .88304     .86006     .83860     .81869     .80022
     .78299     .76683     .75149     .73673     .72227     .70772     .69249
     .67546     .65353     .62128

     .94292     .91966     .89635     .87396     .85292     .83331     .81506
     .79790     .78190     .76670     .75206     .73771     .72324     .70808
     .69107     .66912     .63766

     .95350     .93155     .90912     .88732     .86657     .84729     .82930
     .81246     .79663     .78156     .76704     .75278     .73841     .72332
     .70635     .68439     .65380

     .96363     .94297     .92141     .90014     .87996     .86097     .84321
     .82656     .81086     .79593     .78153     .76739     .75311     .73810
     .72119     .69924     .66961

     .97329     .95390     .93317     .91262     .89285     .87417     .85662
     .84014     .82460     .80980     .79552     .78149     .76732     .75240
     .73554     .71365     .68505

     .98249     .96429     .94455     .92460     .90524     .88685     .86952
     .85322     .83783     .82316     .80900     .79508     .78102     .76619
     .74942     .72760     .70010

     .99116     .97432     .95544     .93608     .91713     .89903     .88191
     .86579     .85053     .83599     .82196     .80815     .79419     .77946
     .76279     .74108     .71476

     .99949     .98385     .96583     .94705     .92850     .91068     .89378
     .87782     .86271     .84830     .83438     .82069     .80684     .79222
     .77565     .75409     .72899

    1.00738     .99291     .97572     .95751     .93935     .92181     .90512
     .88932     .87435     .86006     .84627     .83270     .81896     .80445
     .78799     .76660     .74279

    1.01484    1.00150     .98511     .96746     .94969     .93241     .91593
     .90029     .88545     .87129     .85762     .84417     .83055     .81616
     .79983     .77864     .75616


Brems with LPM smp tbl; (sqrt(v)-sqrt(vmin)/(1-u)
   10.35628   10.36517   10.35852   10.37795   10.39262   10.44341   10.53247
   10.67140   10.85878   11.07473   11.26472   11.34960   11.26978   11.02874
   10.67884   10.28339

   10.17757   10.18413   10.17927   10.19913   10.21449   10.26380   10.34780
   10.48237   10.66373   10.87540   11.06394   11.15293   11.08359   10.85526
   10.51737   10.13160

    9.99142   10.00309    9.99436   10.01919   10.02082   10.07158   10.15709
   10.28512   10.46193   10.66808   10.85451   10.94829   10.88907   10.67375
   10.34842    9.97289

    9.79908    9.79187    9.80191    9.78996    9.82677    9.87923    9.95719
   10.08130   10.25236   10.45347   10.63825   10.73599   10.68717   10.48542
   10.17306    9.80823

    9.60148    9.61082    9.60379    9.60743    9.63232    9.67421    9.75430
    9.87259   10.03804   10.23345   10.41600   10.51757   10.47927   10.29100
    9.99206    9.63833

    9.39828    9.39960    9.40001    9.42378    9.42235    9.46914    9.54532
    9.65901    9.81797   10.00744   10.18737   10.29250   10.26428   10.09009
    9.80495    9.46286

    9.19205    9.18838    9.19434    9.19197    9.22752    9.25778    9.33031
    9.44227    9.59519    9.77863    9.95539   10.06382   10.04557    9.88517
    9.61407    9.28384

    8.98172    8.97715    8.98301    9.00685    9.00194    9.04639    9.11535
    9.22063    9.36766    9.54514    9.71882    9.83007    9.82166    9.67509
    9.41831    9.10044

    8.77077    8.76592    8.77169    8.77394    8.79163    8.83502    8.89742
    8.99916    9.14040    9.31137    9.48147    9.59513    9.59602    9.46320
    9.22088    8.91546

    8.55544    8.55470    8.55659    8.54029    8.58110    8.61735    8.67651
    8.77284    8.90843    9.07359    9.23956    9.35487    9.36482    9.24584
    9.01815    8.72565

    8.33704    8.34347    8.33773    8.35370    8.35512    8.39339    8.45264
    8.54336    8.67278    8.83181    8.99400    9.11119    9.12941    9.02415
    8.81122    8.53196

    8.12060    8.13224    8.12264    8.12008    8.14464    8.17582    8.22888
    8.31738    8.44034    8.59290    8.75106    8.86900    8.89539    8.80318
    8.60488    8.33883

    7.89952    7.89084    7.90000    7.88497    7.91854    7.95190    8.00212
    8.08656    8.20323    8.34939    8.50278    8.62133    8.65529    8.57616
    8.39268    8.14145

    7.68072    7.67961    7.68114    7.69841    7.70782    7.72806    7.77852
    7.85756    7.96934    8.10876    8.25757    8.37610    8.41703    8.35009
    8.18133    7.94380

    7.45836    7.46838    7.46039    7.46370    7.48188    7.50430    7.55197
    7.62542    7.73079    7.86418    8.00833    8.12663    8.17385    8.11921
    7.96500    7.74056

    7.23833    7.22697    7.23965    7.22900    7.25598    7.28058    7.32553
    7.39510    7.49547    7.62312    7.76172    7.87931    7.93233    7.88935
    7.75093    7.53763

    7.01578    7.01575    7.01702    7.04171    7.02994    7.05685    7.09915
    7.16327    7.25843    7.37932    7.51318    7.62921    7.68740    7.65547
    7.53210    7.32199

    6.79555    6.80452    6.79628    6.80703    6.80409    6.83324    6.87290
    6.93494    7.02360    7.13903    7.26727    7.38157    7.44415    7.42282
    7.31224    7.11346

    6.57380    6.56311    6.57555    6.57237    6.59342    6.60966    6.64674
    6.70511    6.78806    6.89726    7.01983    7.13205    7.19840    7.18701
    7.08771    6.89588

    6.35440    6.35188    6.35482    6.33772    6.36762    6.38616    6.42068
    6.47710    6.55573    6.65836    6.77543    6.88528    6.95476    6.95529
    6.86310    6.68453

    6.13441    6.14065    6.13597    6.15121    6.14193    6.16274    6.19777
    6.24924    6.32265    6.41922    6.53076    6.63779    6.70968    6.71820
    6.62989    6.46739

    5.91691    5.92943    5.91713    5.91695    5.93145    5.94560    5.97493
    6.02318    6.09276    6.18355    6.28950    6.39330    6.46691    6.48103
    6.40247    6.25607

    5.69968    5.68802    5.70018    5.68308    5.70597    5.72859    5.75524
    5.79893    5.86310    5.94824    6.04878    6.14925    6.22485    6.24166
    6.17471    6.04169

    5.48528    5.47679    5.48512    5.49734    5.49574    5.51164    5.53565
    5.57648    5.63661    5.71699    5.81145    5.90847    5.98658    6.00370
    5.94370    5.83311

    5.27189    5.26557    5.27194    5.26423    5.28569    5.29480    5.31921
    5.35584    5.41230    5.48670    5.57628    5.66893    5.74569    5.76173
    5.71852    5.62332

    5.06181    5.05434    5.06255    5.07963    5.07587    5.08431    5.10589
    5.14028    5.19210    5.26105    5.34484    5.43347    5.50704    5.52638
    5.49274    5.41985

    4.85340    4.84311    4.85315    4.84729    4.86610    4.87390    4.89267
    4.92486    4.97310    5.03758    5.11594    5.20359    5.26914    5.29345
    5.27321    5.21664

    4.64890    4.66206    4.64942    4.66382    4.65668    4.66366    4.68564
    4.71452    4.75917    4.81870    4.89198    4.97449    5.03584    5.06109
    5.05505    5.02054

    4.44737    4.45083    4.44757    4.43299    4.44742    4.46597    4.48170
    4.50758    4.54833    4.60318    4.67170    4.74795    4.80246    4.83716
    4.84467    4.82602

    4.24888    4.23960    4.24950    4.25065    4.25354    4.26216    4.27788
    4.30408    4.34158    4.39223    4.45550    4.52453    4.57673    4.61425
    4.63534    4.63836

    4.05478    4.05855    4.05520    4.06907    4.05991    4.07094    4.08320
    4.10560    4.13886    4.18582    4.24579    4.30615    4.35473    4.40144
    4.43321    4.45347

    3.86458    3.87750    3.86468    3.88824    3.86653    3.87985    3.88864
    3.91053    3.94117    3.98394    4.04090    4.09026    4.14105    4.19141
    4.23856    4.27447

    3.67838    3.66627    3.67794    3.66043    3.68856    3.68888    3.70021
    3.72049    3.74847    3.78716    3.83794    3.88226    3.93160    3.98879
    4.04775    4.10231

    3.49722    3.48522    3.49685    3.48148    3.49582    3.50433    3.51793
    3.53547    3.56076    3.59609    3.63813    3.67923    3.73191    3.79552
    3.86461    3.93445

    3.32075    3.33434    3.32143    3.30365    3.31856    3.33235    3.33876
    3.35546    3.37801    3.41131    3.44630    3.48500    3.53788    3.60769
    3.68949    3.77284

    3.14919    3.15329    3.14978    3.12658    3.15669    3.15428    3.16570
    3.18046    3.20119    3.23156    3.26040    3.29646    3.35359    3.42795
    3.51964    3.61760

    2.98265    2.97224    2.98190    2.99797    2.97992    2.98877    2.99875
    3.01043    3.02930    3.05563    3.07920    3.11666    3.17468    3.25700
    3.35711    3.46907

    2.82173    2.82136    2.82157    2.82314    2.81878    2.82967    2.83492
    2.84705    2.86331    2.88593    2.90708    2.94353    3.00492    3.09274
    3.20354    3.32610

    2.66622    2.67049    2.66690    2.64944    2.67312    2.67073    2.67722
    2.68865    2.70416    2.72061    2.74039    2.78011    2.84481    2.93657
    3.05522    3.18960

    2.51623    2.51961    2.51600    2.52420    2.51258    2.52433    2.52559
    2.53521    2.54990    2.56268    2.58268    2.62270    2.69069    2.78969
    2.91442    3.05965

    2.37184    2.36874    2.37265    2.35275    2.36765    2.37814    2.38010
    2.39001    2.40246    2.41092    2.43113    2.47323    2.54492    2.64855
    2.78088    2.93658

    2.23300    2.24804    2.23308    2.22975    2.23807    2.23826    2.24067
    2.24812    2.25798    2.26651    2.28810    2.33301    2.40700    2.51503
    2.65426    2.81832

    2.10016    2.09716    2.10105    2.10825    2.10896    2.10478    2.10736
    2.11445    2.12125    2.12822    2.15157    2.19925    2.27812    2.38951
    2.53540    2.70675

    1.97301    1.97646    1.97279    1.98750    1.98010    1.97762    1.98012
    1.98571    1.99033    1.99783    2.02228    2.07302    2.15523    2.27125
    2.42225    2.60121

    1.85154    1.85576    1.85208    1.86824    1.85173    1.85687    1.85598
    1.86354    1.86428    1.87293    1.90025    1.95428    2.03970    2.16076
    2.31565    2.50151

    1.73571    1.73506    1.73514    1.74973    1.73870    1.73622    1.74091
    1.74630    1.74592    1.75650    1.78620    1.84326    1.93127    2.05565
    2.21537    2.40757

    1.62546    1.61436    1.62574    1.63271    1.62615    1.62817    1.62893
    1.63238    1.63336    1.64552    1.67817    1.73805    1.82956    1.95708
    2.12115    2.31968

    1.52069    1.52383    1.52012    1.51644    1.52894    1.52022    1.52599
    1.52660    1.52752    1.54057    1.57651    1.63943    1.73471    1.86473
    2.03283    2.23607

    1.42131    1.43331    1.42205    1.40167    1.41711    1.42487    1.42615
    1.42576    1.42651    1.44286    1.48161    1.54738    1.64514    1.77830
    1.94996    2.15744

    1.32720    1.31261    1.32774    1.33534    1.32062    1.32962    1.32937
    1.32982    1.33220    1.35115    1.39266    1.46107    1.56141    1.69746
    1.87263    2.08375


 constant for Pair  sampling table at low energies
  1.100000000000000E-003 -2.95860731484178  8.000000000000000E-003  37.8368738304753  4795.77464788732  45  45  5.000000000000000E-002  1.00000000000000  21  4.750000000000000E-002  .103102785491932  .000000000000000  .472870804501588  21  2.364354022507940E-002  .103102785491932  4.840707721828114E-002

BGO     
total pair x-sec. at low E
  1.100000E-03  3.557391E-05
  1.394747E-03  2.040841E-03
  1.768472E-03  8.708649E-03
  2.242338E-03  2.038971E-02
  2.843176E-03  3.654379E-02
  3.605011E-03  5.645204E-02
  4.570981E-03  7.944011E-02
  5.795784E-03  .104929
  7.348775E-03  .132434
  9.317894E-03  .185566
  1.181464E-02  .228015
  1.498040E-02  .271259
  1.899442E-02  .314770
  2.408401E-02  .357967
  3.053737E-02  .400225
  3.871992E-02  .440901
  4.909500E-02  .479443
  6.225010E-02  .515404
  7.893013E-02  .548508
  .100080  .578628
  .126896  .605714
  .160898  .629819
  .204011  .651066
  .258676  .669630
  .327989  .685720
  .415875  .699568
  .527309  .711413
  .668602  .721486
  .847756  .730009
  1.07491  .737191
  1.36294  .743222
  1.72814  .748269
  2.19120  .752482
  2.77834  .755989
  3.52280  .758902
  4.46673  .761316
  5.66361  .763314
  7.18118  .764964
  9.10539  .766324
  11.5452  .767443
  14.6388  .768363
  18.5612  .769119
  23.5348  .769739
  29.8409  .770247
  37.8369  .770663

Pair table (v-.5)/(1-u) at low E
     .03277     .03176     .03105     .03050     .03006     .02970     .02940
     .02912     .02891     .02870     .02853     .02838     .02826     .02815
     .02805     .02797     .02790     .02785     .02784     .02779     .02781

     .12344     .11959     .11690     .11483     .11316     .11177     .11061
     .10959     .10874     .10798     .10734     .10677     .10629     .10588
     .10553     .10524     .10502     .10482     .10470     .10465     .10462

     .19491     .18883     .18458     .18134     .17872     .17654     .17471
     .17314     .17179     .17062     .16961     .16875     .16799     .16735
     .16682     .16636     .16602     .16576     .16553     .16549     .16540

     .25131     .24353     .23815     .23404     .23073     .22800     .22571
     .22376     .22208     .22064     .21938     .21831     .21738     .21660
     .21595     .21540     .21497     .21460     .21438     .21425     .21420

     .29590     .28691     .28075     .27607     .27234     .26929     .26672
     .26454     .26269     .26111     .25973     .25857     .25756     .25669
     .25599     .25538     .25492     .25457     .25428     .25422     .25411

     .33125     .32149     .31488     .30991     .30597     .30277     .30012
     .29788     .29599     .29435     .29297     .29179     .29077     .28993
     .28923     .28865     .28820     .28781     .28757     .28742     .28737

     .35940     .34924     .34245     .33741     .33347     .33030     .32769
     .32549     .32367     .32212     .32081     .31968     .31874     .31795
     .31731     .31677     .31633     .31603     .31579     .31570     .31560

     .38193     .37169     .36495     .36002     .35622     .35319     .35073
     .34870     .34702     .34562     .34443     .34346     .34263     .34194
     .34136     .34091     .34055     .34029     .34010     .33993     .33993

     .40008     .39002     .38351     .37882     .37527     .37247     .37025
     .36843     .36696     .36573     .36474     .36392     .36324     .36268
     .36224     .36187     .36159     .36140     .36123     .36112     .36114

     .39644     .38619     .37958     .37491     .37153     .36890     .36679
     .36508     .36367     .36248     .36144     .36060     .36002     .35954
     .35919     .35889     .35867     .35848     .35833     .35829     .35826

     .41280     .40307     .39718     .39308     .39004     .38770     .38585
     .38443     .38338     .38254     .38186     .38133     .38093     .38059
     .38035     .38018     .38004     .37990     .37991     .37980     .37984

     .42596     .41709     .41174     .40807     .40542     .40354     .40213
     .40106     .40028     .39971     .39930     .39900     .39882     .39869
     .39861     .39856     .39857     .39857     .39858     .39862     .39858

     .43674     .42869     .42389     .42077     .41861     .41709     .41606
     .41533     .41488     .41460     .41446     .41443     .41447     .41456
     .41466     .41476     .41488     .41502     .41509     .41512     .41515

     .44573     .43843     .43430     .43167     .42997     .42887     .42822
     .42787     .42776     .42780     .42796     .42820     .42849     .42881
     .42912     .42940     .42963     .42980     .42999     .43011     .43016

     .45326     .44678     .44326     .44117     .43997     .43933     .43908
     .43914     .43938     .43977     .44025     .44078     .44133     .44188
     .44240     .44289     .44328     .44366     .44388     .44407     .44406

     .45964     .45402     .45115     .44963     .44894     .44876     .44898
     .44942     .45005     .45081     .45163     .45248     .45331     .45411
     .45487     .45555     .45610     .45655     .45682     .45702     .45717

     .46513     .46036     .45817     .45725     .45709     .45741     .45806
     .45897     .45999     .46111     .46227     .46343     .46456     .46561
     .46660     .46747     .46819     .46881     .46919     .46955     .46959

     .46992     .46602     .46451     .46420     .46456     .46538     .46651
     .46781     .46925     .47074     .47225     .47373     .47516     .47648
     .47770     .47876     .47969     .48040     .48094     .48129     .48134

     .47412     .47109     .47027     .47053     .47145     .47275     .47432
     .47604     .47785     .47972     .48157     .48336     .48508     .48666
     .48810     .48936     .49042     .49129     .49191     .49218     .49238

     .47782     .47564     .47550     .47635     .47776     .47953     .48151
     .48365     .48583     .48803     .49020     .49229     .49427     .49609
     .49775     .49921     .50044     .50139     .50209     .50261     .50271

     .48111     .47976     .48027     .48166     .48354     .48574     .48814
     .49064     .49318     .49569     .49817     .50054     .50278     .50484
     .50672     .50836     .50974     .51082     .51163     .51215     .51230

     .48404     .48347     .48459     .48648     .48882     .49143     .49417
     .49703     .49988     .50272     .50549     .50812     .51063     .51292
     .51498     .51680     .51832     .51952     .52041     .52101     .52115

     .48666     .48684     .48849     .49085     .49360     .49656     .49968
     .50284     .50601     .50912     .51216     .51505     .51777     .52028
     .52255     .52453     .52617     .52752     .52847     .52906     .52925

     .48898     .48985     .49201     .49479     .49792     .50123     .50465
     .50812     .51156     .51493     .51821     .52134     .52428     .52698
     .52940     .53155     .53333     .53475     .53583     .53635     .53663

     .49107     .49255     .49518     .49834     .50180     .50543     .50914
     .51286     .51656     .52017     .52368     .52701     .53014     .53300
     .53561     .53785     .53978     .54128     .54236     .54304     .54328

     .49294     .49497     .49800     .50151     .50528     .50918     .51314
     .51709     .52104     .52485     .52856     .53208     .53536     .53841
     .54114     .54353     .54554     .54714     .54833     .54901     .54924

     .49459     .49711     .50052     .50434     .50837     .51250     .51671
     .52086     .52499     .52900     .53287     .53656     .54001     .54318
     .54605     .54856     .55064     .55234     .55358     .55426     .55454

     .49606     .49902     .50276     .50685     .51110     .51545     .51983
     .52419     .52850     .53266     .53670     .54052     .54412     .54741
     .55039     .55298     .55515     .55690     .55814     .55898     .55921

     .49736     .50070     .50472     .50905     .51351     .51803     .52259
     .52712     .53156     .53586     .54003     .54399     .54770     .55112
     .55418     .55685     .55910     .56093     .56225     .56301     .56330

     .49851     .50220     .50646     .51097     .51561     .52031     .52501
     .52965     .53423     .53868     .54295     .54700     .55081     .55433
     .55747     .56024     .56257     .56439     .56576     .56653     .56685

     .49951     .50350     .50797     .51266     .51744     .52227     .52709
     .53185     .53653     .54110     .54546     .54963     .55351     .55710
     .56031     .56314     .56554     .56739     .56877     .56969     .56991

     .50039     .50463     .50928     .51410     .51902     .52396     .52889
     .53377     .53854     .54317     .54762     .55185     .55582     .55948
     .56276     .56564     .56807     .56999     .57142     .57219     .57254

     .50116     .50562     .51041     .51537     .52039     .52542     .53043
     .53539     .54024     .54496     .54947     .55378     .55780     .56153
     .56486     .56776     .57023     .57221     .57366     .57451     .57479

     .50184     .50646     .51139     .51645     .52155     .52667     .53176
     .53678     .54169     .54647     .55105     .55540     .55950     .56326
     .56663     .56959     .57209     .57408     .57549     .57633     .57670

     .50242     .50720     .51223     .51737     .52255     .52774     .53288
     .53795     .54293     .54774     .55239     .55678     .56091     .56472
     .56814     .57114     .57366     .57568     .57714     .57798     .57832

     .50292     .50784     .51294     .51816     .52341     .52863     .53383
     .53895     .54396     .54883     .55351     .55796     .56213     .56595
     .56941     .57243     .57494     .57700     .57846     .57930     .57968

     .50336     .50837     .51356     .51883     .52412     .52940     .53464
     .53979     .54484     .54976     .55447     .55893     .56314     .56699
     .57046     .57351     .57606     .57810     .57961     .58045     .58082

     .50373     .50883     .51408     .51940     .52472     .53004     .53530
     .54050     .54558     .55051     .55526     .55976     .56398     .56786
     .57136     .57440     .57700     .57903     .58051     .58144     .58178

     .50405     .50921     .51452     .51986     .52523     .53057     .53587
     .54109     .54622     .55117     .55592     .56045     .56468     .56858
     .57210     .57516     .57778     .57985     .58133     .58226     .58258

     .50432     .50955     .51489     .52026     .52565     .53103     .53634
     .54160     .54671     .55171     .55648     .56102     .56528     .56919
     .57273     .57582     .57840     .58051     .58199     .58291     .58325

     .50454     .50983     .51518     .52060     .52602     .53141     .53674
     .54200     .54715     .55215     .55694     .56149     .56577     .56969
     .57322     .57634     .57893     .58105     .58256     .58341     .58380

     .50474     .51006     .51544     .52088     .52631     .53172     .53707
     .54236     .54751     .55251     .55733     .56189     .56618     .57011
     .57366     .57677     .57938     .58149     .58297     .58390     .58426

     .50491     .51025     .51566     .52111     .52656     .53198     .53735
     .54263     .54781     .55281     .55763     .56222     .56651     .57046
     .57401     .57713     .57975     .58182     .58338     .58423     .58464

     .50504     .51042     .51585     .52130     .52676     .53220     .53756
     .54286     .54805     .55308     .55789     .56249     .56677     .57074
     .57431     .57742     .58003     .58214     .58371     .58455     .58496

     .50516     .51054     .51599     .52146     .52693     .53237     .53775
     .54306     .54824     .55329     .55812     .56271     .56702     .57097
     .57453     .57768     .58032     .58241     .58395     .58488     .58522


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

     .53795     .53795     .53794     .53792     .53789     .53784     .53777
     .53767     .53756     .53741     .53724     .53702     .53678     .53650
     .53618     .53582     .53542     .53497     .53447     .53393     .53333

     .54537     .54537     .54536     .54534     .54530     .54524     .54515
     .54504     .54490     .54472     .54451     .54426     .54397     .54363
     .54325     .54282     .54234     .54180     .54121     .54056     .53984

     .55747     .55747     .55746     .55743     .55738     .55730     .55720
     .55705     .55687     .55665     .55638     .55606     .55570     .55527
     .55478     .55424     .55363     .55295     .55219     .55137     .55046

     .57388     .57387     .57385     .57382     .57375     .57365     .57352
     .57333     .57310     .57282     .57246     .57206     .57159     .57104
     .57042     .56971     .56893     .56805     .56708     .56602     .56485

     .59407     .59407     .59405     .59400     .59392     .59379     .59362
     .59338     .59308     .59272     .59228     .59176     .59115     .59046
     .58966     .58876     .58776     .58665     .58542     .58407     .58257

     .61746     .61746     .61743     .61738     .61727     .61711     .61689
     .61660     .61623     .61577     .61522     .61457     .61381     .61294
     .61195     .61083     .60958     .60818     .60664     .60495     .60309

     .64338     .64337     .64334     .64327     .64314     .64294     .64267
     .64232     .64187     .64131     .64063     .63985     .63892     .63785
     .63664     .63527     .63374     .63204     .63016     .62808     .62582

     .67110     .67110     .67106     .67097     .67082     .67059     .67026
     .66983     .66930     .66863     .66783     .66688     .66577     .66450
     .66306     .66142     .65959     .65755     .65531     .65284     .65013

     .69993     .69992     .69987     .69978     .69959     .69932     .69895
     .69845     .69781     .69704     .69610     .69499     .69370     .69221
     .69051     .68860     .68646     .68408     .68146     .67857     .67541

     .72917     .72916     .72910     .72899     .72878     .72847     .72804
     .72747     .72674     .72584     .72477     .72349     .72201     .72030
     .71836     .71618     .71372     .71099     .70798     .70468     .70106

     .75818     .75817     .75811     .75798     .75775     .75739     .75691
     .75627     .75545     .75443     .75322     .75178     .75011     .74818
     .74600     .74353     .74077     .73770     .73431     .73058     .72651

     .78640     .78639     .78633     .78618     .78592     .78553     .78499
     .78427     .78336     .78224     .78090     .77930     .77745     .77531
     .77288     .77015     .76709     .76369     .75994     .75581     .75129

     .81335     .81334     .81327     .81311     .81283     .81240     .81181
     .81102     .81003     .80881     .80732     .80558     .80356     .80122
     .79857     .79558     .79224     .78853     .78443     .77994     .77501

     .83866     .83864     .83857     .83839     .83809     .83763     .83699
     .83614     .83506     .83374     .83214     .83026     .82807     .82556
     .82269     .81948     .81587     .81188     .80747     .80262     .79733

     .86203     .86201     .86193     .86174     .86142     .86093     .86024
     .85934     .85819     .85677     .85507     .85306     .85073     .84804
     .84500     .84157     .83775     .83349     .82881     .82366     .81805

     .88328     .88326     .88318     .88298     .88264     .88211     .88139
     .88043     .87921     .87773     .87593     .87381     .87135     .86852
     .86532     .86171     .85769     .85322     .84830     .84291     .83701

     .90231     .90230     .90221     .90200     .90165     .90109     .90034
     .89934     .89806     .89650     .89462     .89241     .88985     .88690
     .88357     .87982     .87563     .87099     .86588     .86028     .85417

     .91912     .91911     .91902     .91880     .91843     .91786     .91707
     .91604     .91472     .91311     .91116     .90887     .90623     .90319
     .89975     .89589     .89158     .88682     .88156     .87582     .86954

     .93376     .93374     .93365     .93342     .93304     .93246     .93165
     .93058     .92923     .92757     .92559     .92324     .92054     .91745
     .91394     .90999     .90561     .90077     .89542     .88957     .88319

     .94633     .94632     .94617     .94557     .94421     .94194     .93875
     .93468     .93080     .92780     .92473     .92167     .91820     .91457
     .91058     .90614     .90144     .89636     .89080     .88474     .87815

     .95698     .95697     .95682     .95619     .95480     .95251     .94933
     .94580     .94324     .94064     .93798     .93497     .93179     .92820
     .92430     .92010     .91547     .91037     .90484     .89892     .89247

     .96589     .96588     .96571     .96506     .96364     .96135     .95830
     .95599     .95381     .95154     .94899     .94622     .94308     .93972
     .93597     .93182     .92727     .92235     .91697     .91109     .90466

     .97324     .97323     .97305     .97237     .97092     .96867     .96640
     .96457     .96268     .96055     .95819     .95553     .95261     .94933
     .94568     .94172     .93735     .93252     .92722     .92140     .91512

     .97924     .97923     .97904     .97832     .97687     .97483     .97326
     .97170     .96994     .96798     .96576     .96329     .96048     .95735
     .95390     .95007     .94581     .94110     .93597     .93032     .92415

     .98406     .98405     .98385     .98312     .98170     .98014     .97888
     .97746     .97588     .97407     .97201     .96965     .96700     .96405
     .96074     .95705     .95296     .94844     .94346     .93796     .93191

     .98789     .98787     .98766     .98693     .98559     .98451     .98341
     .98215     .98070     .97903     .97708     .97490     .97242     .96962
     .96645     .96295     .95903     .95468     .94986     .94453     .93865

     .99091     .99088     .99067     .98994     .98888     .98801     .98705
     .98589     .98458     .98303     .98125     .97921     .97688     .97422
     .97126     .96793     .96419     .96001     .95538     .95024     .94455

     .99324     .99322     .99299     .99228     .99150     .99076     .98992
     .98890     .98768     .98628     .98464     .98273     .98056     .97809
     .97529     .97213     .96858     .96460     .96016     .95521     .94972

     .99503     .99501     .99478     .99413     .99356     .99294     .99217
     .99126     .99017     .98887     .98736     .98561     .98360     .98129
     .97866     .97569     .97233     .96855     .96431     .95958     .95429

     .99639     .99636     .99614     .99560     .99515     .99461     .99394
     .99312     .99214     .99097     .98959     .98799     .98612     .98397
     .98152     .97871     .97555     .97196     .96793     .96341     .95835

     .99740     .99738     .99715     .99675     .99637     .99590     .99531
     .99458     .99370     .99264     .99138     .98991     .98819     .98620
     .98391     .98130     .97831     .97493     .97110     .96679     .96195

     .99815     .99813     .99791     .99761     .99729     .99689     .99638
     .99572     .99493     .99398     .99284     .99150     .98992     .98806
     .98593     .98349     .98069     .97750     .97386     .96974     .96511

     .99870     .99867     .99848     .99826     .99799     .99764     .99718
     .99662     .99590     .99505     .99402     .99278     .99134     .98963
     .98765     .98536     .98272     .97971     .97626     .97233     .96787

     .99909     .99907     .99890     .99873     .99851     .99820     .99780
     .99730     .99668     .99590     .99497     .99384     .99250     .99094
     .98909     .98696     .98448     .98161     .97832     .97456     .97027

     .99937     .99935     .99923     .99909     .99889     .99863     .99828
     .99784     .99728     .99659     .99574     .99472     .99348     .99204
     .99031     .98830     .98596     .98324     .98009     .97646     .97230

     .99957     .99955     .99946     .99934     .99918     .99896     .99865
     .99825     .99775     .99713     .99636     .99542     .99429     .99295
     .99133     .98944     .98720     .98461     .98158     .97807     .97403

     .99971     .99969     .99961     .99952     .99938     .99919     .99893
     .99858     .99813     .99757     .99687     .99601     .99496     .99370
     .99219     .99039     .98825     .98575     .98281     .97941     .97546

     .99981     .99979     .99974     .99966     .99954     .99937     .99914
     .99884     .99843     .99792     .99728     .99649     .99551     .99432
     .99289     .99117     .98911     .98668     .98383     .98051     .97663

     .99987     .99985     .99982     .99974     .99965     .99950     .99930
     .99903     .99868     .99820     .99762     .99688     .99596     .99483
     .99346     .99180     .98981     .98745     .98466     .98139     .97758

     .99992     .99991     .99986     .99982     .99973     .99960     .99944
     .99919     .99886     .99843     .99790     .99719     .99632     .99524
     .99391     .99230     .99036     .98806     .98531     .98209     .97832

     .99995     .99994     .99991     .99986     .99979     .99968     .99953
     .99931     .99901     .99861     .99811     .99745     .99661     .99556
     .99428     .99271     .99080     .98853     .98583     .98264     .97890

     .99997     .99996     .99994     .99990     .99984     .99974     .99961
     .99941     .99913     .99877     .99828     .99764     .99683     .99582
     .99456     .99302     .99114     .98890     .98621     .98305     .97933

     .99998     .99997     .99996     .99993     .99986     .99979     .99967
     .99948     .99922     .99887     .99841     .99780     .99701     .99602
     .99478     .99326     .99141     .98917     .98651     .98335     .97966

     .99999     .99998     .99998     .99998     .99995     .99992     .99983
     .99970     .99949     .99920     .99877     .99822     .99748     .99653
     .99534     .99384     .99203     .98983     .98721     .98408     .98042


constant used in Pair cre. sampling with LPM
  4795.77464788732  25  2.500000000000000E-002  .100000000000000  .000000000000000  1.00000000000000  41  3.68085876752973  1204644.12666058

BGO     
Pair total x-sec. with LPM
  4795.77  .772416
  6037.52  .771835
  7600.79  .773026
  9568.83  .773552
  12046.4  .773109
  15165.6  .770185
  19092.3  .764915
  24035.8  .755848
  30259.3  .743797
  38094.2  .727798
  47957.7  .707896
  60375.2  .684360
  76007.9  .657702
  95688.3  .628255
  120464.  .596642
  151656.  .563480
  190923.  .529338
  240358.  .494807
  302593.  .460463
  380942.  .426709
  479577.  .393922
  603752.  .362432
  760079.  .332431
  956883.  .304072
  1.204644E+06  .277453

Pair table with LPM
    1.00000     .99027     .98043     .97045     .96033     .95008     .93967
     .92915     .91846     .90763     .89664     .88552     .87423     .86280
     .85120     .83944     .82754     .81547     .80323     .79084     .77828
     .76557     .75270     .73968     .72651     .71318     .69972     .68611
     .67237     .65850     .64450     .63040     .61618     .60188     .58749
     .57302     .55850     .54392     .52930     .51466     .50000

    1.00000     .99021     .98029     .97024     .96006     .94975     .93929
     .92869     .91795     .90707     .89603     .88485     .87353     .86204
     .85041     .83862     .82667     .81457     .80231     .78989     .77734
     .76461     .75171     .73861     .72546     .71202     .69861     .68506
     .67117     .65740     .64351     .62951     .61541     .60088     .58664
     .57232     .55793     .54350     .52903     .51452     .50000

    1.00000     .99020     .98026     .97019     .96000     .94967     .93919
     .92858     .91781     .90691     .89587     .88467     .87331     .86181
     .85015     .83834     .82635     .81416     .80190     .78938     .77683
     .76397     .75115     .73818     .72506     .71180     .69818     .68467
     .67104     .65728     .64341     .62941     .61496     .60081     .58657
     .57227     .55790     .54348     .52901     .51451     .50000

    1.00000     .99020     .98025     .97018     .95997     .94962     .93914
     .92852     .91776     .90685     .89579     .88457     .87322     .86163
     .84998     .83811     .82619     .81400     .80180     .78944     .77673
     .76409     .75131     .73837     .72527     .71202     .69839     .68491
     .67128     .65753     .64365     .62967     .61557     .60136     .58708
     .57234     .55796     .54351     .52903     .51452     .50000

    1.00000     .99020     .98026     .97019     .96000     .94965     .93919
     .92857     .91781     .90690     .89584     .88461     .87324     .86169
     .85012     .83839     .82638     .81437     .80221     .78989     .77741
     .76460     .75182     .73890     .72582     .71258     .69918     .68565
     .67167     .65790     .64400     .62998     .61584     .60160     .58727
     .57286     .55838     .54383     .52925     .51464     .50000

    1.00000     .99023     .98034     .97031     .96015     .94985     .93941
     .92886     .91813     .90720     .89625     .88509     .87389     .86243
     .85094     .83930     .82749     .81541     .80331     .79104     .77860
     .76600     .75322     .74007     .72700     .71377     .70037     .68682
     .67311     .65927     .64528     .63116     .61692     .60257     .58778
     .57329     .55872     .54409     .52942     .51472     .50000

    1.00000     .99030     .98048     .97051     .96043     .95020     .93986
     .92934     .91871     .90797     .89704     .88610     .87501     .86362
     .85224     .84071     .82899     .81709     .80500     .79261     .78022
     .76765     .75489     .74195     .72883     .71554     .70207     .68843
     .67437     .66046     .64640     .63219     .61786     .60340     .58884
     .57418     .55945     .54465     .52980     .51490     .50000

    1.00000     .99041     .98071     .97088     .96091     .95081     .94056
     .93023     .91975     .90923     .89858     .88769     .87673     .86562
     .85433     .84274     .83112     .81933     .80733     .79516     .78277
     .77019     .75743     .74427     .73114     .71783     .70433     .69065
     .67678     .66275     .64856     .63420     .61971     .60509     .59034
     .57550     .56056     .54555     .53048     .51509     .50000

    1.00000     .99056     .98101     .97135     .96154     .95161     .94160
     .93148     .92127     .91087     .90040     .88975     .87882     .86787
     .85671     .84536     .83382     .82207     .81011     .79780     .78547
     .77291     .76015     .74717     .73398     .72059     .70698     .69318
     .67918     .66499     .65062     .63607     .62114     .60633     .59139
     .57634     .56119     .54596     .53068     .51535     .50000

    1.00000     .99078     .98144     .97198     .96238     .95274     .94299
     .93308     .92312     .91300     .90263     .89219     .88155     .87072
     .85967     .84843     .83686     .82522     .81335     .80125     .78892
     .77636     .76356     .75054     .73728     .72379     .71006     .69596
     .68184     .66751     .65298     .63827     .62339     .60834     .59314
     .57782     .56240     .54688     .53129     .51566     .50000

    1.00000     .99102     .98194     .97272     .96346     .95412     .94465
     .93510     .92536     .91543     .90537     .89510     .88464     .87388
     .86300     .85191     .84057     .82899     .81718     .80512     .79279
     .78024     .76740     .75421     .74091     .72736     .71356     .69952
     .68524     .67073     .65599     .64106     .62592     .61061     .59513
     .57950     .56376     .54791     .53199     .51600     .50000

    1.00000     .99133     .98255     .97367     .96476     .95573     .94662
     .93729     .92786     .91822     .90838     .89826     .88801     .87753
     .86680     .85583     .84460     .83311     .82136     .80924     .79697
     .78445     .77163     .75853     .74517     .73152     .71760     .70341
     .68895     .67424     .65929     .64410     .62869     .61307     .59715
     .58121     .56514     .54896     .53269     .51636     .50000

    1.00000     .99166     .98324     .97474     .96618     .95754     .94872
     .93975     .93060     .92117     .91158     .90177     .89172     .88140
     .87083     .85999     .84879     .83743     .82578     .81384     .80161
     .78907     .77624     .76310     .74965     .73590     .72185     .70750
     .69286     .67783     .66265     .64721     .63153     .61563     .59951
     .58323     .56678     .55020     .53350     .51677     .50000

    1.00000     .99204     .98399     .97593     .96777     .95947     .95101
     .94234     .93345     .92435     .91502     .90543     .89558     .88546
     .87501     .86434     .85339     .84212     .83056     .81867     .80647
     .79394     .78109     .76791     .75438     .74047     .72630     .71181
     .69700     .68188     .66645     .65074     .63475     .61850     .60203
     .58535     .56850     .55151     .53441     .51721     .50000

    1.00000     .99244     .98483     .97718     .96940     .96149     .95338
     .94501     .93645     .92764     .91856     .90920     .89953     .88963
     .87942     .86892     .85809     .84695     .83546     .82365     .81149
     .79891     .78606     .77287     .75930     .74537     .73108     .71643
     .70142     .68608     .67039     .65439     .63810     .62149     .60465
     .58758     .57032     .55289     .53534     .51767     .50000

    1.00000     .99287     .98569     .97848     .97111     .96355     .95577
     .94776     .93949     .93095     .92210     .91300     .90362     .89391
     .88389     .87354     .86286     .85183     .84040     .82867     .81657
     .80410     .79125     .77801     .76438     .75037     .73595     .72115
     .70597     .69039     .67446     .65818     .64155     .62459     .60737
     .58989     .57219     .55431     .53629     .51817     .50000

    1.00000     .99329     .98658     .97977     .97282     .96561     .95818
     .95049     .94253     .93424     .92571     .91686     .90769     .89819
     .88836     .87817     .86761     .85671     .84545     .83381     .82177
     .80933     .79647     .78323     .76955     .75544     .74092     .72599
     .71062     .69483     .67865     .66208     .64513     .62783     .61023
     .59229     .57415     .55580     .53729     .51867     .50000

    1.00000     .99374     .98748     .98109     .97448     .96766     .96056
     .95316     .94550     .93754     .92925     .92065     .91171     .90241
     .89274     .88274     .87237     .86161     .85046     .83891     .82694
     .81455     .80172     .78844     .77474     .76056     .74594     .73086
     .71533     .69934     .68292     .66603     .64878     .63112     .61312
     .59480     .57620     .55736     .53836     .51918     .50000

    1.00000     .99418     .98833     .98237     .97614     .96966     .96287
     .95580     .94843     .94073     .93270     .92434     .91560     .90652
     .89707     .88725     .87702     .86640     .85537     .84391     .83201
     .81968     .80686     .79360     .77985     .76563     .75091     .73569
     .71999     .70381     .68714     .67000     .65242     .63441     .61598
     .59723     .57817     .55886     .53936     .51971     .50000

    1.00000     .99461     .98919     .98359     .97773     .97157     .96511
     .95834     .95124     .94381     .93601     .92788     .91940     .91051
     .90127     .89161     .88155     .87106     .86015     .84878     .83697
     .82468     .81193     .79864     .78489     .77061     .75581     .74048
     .72463     .70826     .69133     .67393     .65604     .63769     .61891
     .59974     .58022     .56042     .54041     .52024     .50000

    1.00000     .99503     .99001     .98476     .97924     .97340     .96725
     .96076     .95393     .94674     .93922     .93131     .92303     .91436
     .90528     .89581     .88590     .87556     .86477     .85351     .84177
     .82955     .81683     .80358     .78980     .77547     .76059     .74516
     .72917     .71262     .69551     .67785     .65966     .64096     .62181
     .60221     .58225     .56195     .54143     .52076     .50000

    1.00000     .99543     .99079     .98588     .98066     .97514     .96926
     .96305     .95647     .94955     .94224     .93455     .92648     .91801
     .90911     .89980     .89005     .87984     .86916     .85802     .84637
     .83422     .82153     .80828     .79450     .78016     .76522     .74970
     .73357     .71685     .69954     .68163     .66312     .64411     .62458
     .60460     .58420     .56347     .54246     .52127     .50000

    1.00000     .99581     .99151     .98693     .98200     .97675     .97115
     .96519     .95887     .95217     .94509     .93761     .92974     .92146
     .91274     .90359     .89397     .88390     .87336     .86231     .85075
     .83865     .82601     .81281     .79903     .78466     .76966     .75406
     .73781     .72091     .70341     .68528     .66655     .64722     .62735
     .60697     .58615     .56495     .54347     .52179     .50000

    1.00000     .99618     .99220     .98789     .98327     .97828     .97292
     .96720     .96111     .95463     .94776     .94048     .93281     .92469
     .91615     .90714     .89768     .88775     .87731     .86636     .85490
     .84287     .83028     .81712     .80334     .78892     .77389     .75821
     .74186     .72486     .70717     .68883     .66983     .65022     .63001
     .60926     .58802     .56639     .54445     .52227     .50000

    1.00000     .99650     .99282     .98879     .98443     .97968     .97457
     .96908     .96320     .95693     .95025     .94317     .93566     .92771
     .91933     .91048     .90115     .89133     .88102     .87017     .85879
     .84684     .83430     .82114     .80738     .79298     .77792     .76217
     .74573     .72860     .71075     .69221     .67298     .65308     .63256
     .61145     .58979     .56775     .54536     .52274     .50000


