# ************************************************ 
#     This table  has been made by using ../../Data/BaseM/Al 
#     with Bremsstrahlung formula: # 1
#     and  Pair creation  formula: # 2.
#     2003ǯ  6 24  01:19:48 JST by KASAHARA Katsuaki using
#     version uv8.00  
#     host was canx6 
# 
#name   Format    Alminum
Al 	1
#
#  Elem	 rho(g/cm^3)	Gas/Solid(1/0)  refl.index Birks c

1         2.70            0              0         0 0 0
# 	Z	A  	N
	13	26.98	1

 Excitation (Ionization) potential = 166.00 eV
  radation length=   8.89160596567383       cm   24.0073361073193       g/cm^2
  <Aeff>=   26.9800000000000       <Zeff=>   13.0000000000000       <Z2/A>=    6.26389918458117
  plasma energy=   3.28674704419775D-008  GeV no density=   6.02660084877687D+022  /cm^3
  <Z2eff=>   169.000000000000       <Z/A>=  0.481838398813936     
 Migdal s1=   1.65092263539636D-004
  Conversion factors:
  g/cm^2 to cm=  0.370370370370370     
  mb to /(g/cm2)=   2.23207438843588D-005  mb to /cm=   6.02660084877687D-005  mb to /X0=   5.35861600597194D-004
  If a comound is specified as an Atom, use the
  following instead:    2.23207438843588D-005   6.02660084877687D-005   5.35861600597194D-004
  pi x Re**2 * N* Z /A *X0g  = 0.15 Z/A*X0g=   1.73783935965619     
  media.A, Z, Z^2=   26.9800000000000        13.0000000000000        169.000000000000
 
  **** Sternheimers consts
  a, b, c =   7.40103815731249D-002   16.7356598504370       -4.24011957571898
  x0, x1 =  0.200000002980232        3.00000000000000     
  sa, xa =  0.151189849821012       0.920564399670523     
  minimum dEdx_restricted=   1.36896327499208D-003  GeV/(g/cm^2)  with Tcut=   1.00000000000000D-004  GeV
 
  **** photoelectric consts
 b0, b1, b2=  0.355508583731179        1.67329892893568        1.63277196307458
 fa, a, p=   1.08275406053135        5.08701600000000D-004   5.62714089243600D-004
 l, ek=   7.59375000000000        2.29840000000000D-006
 
#-#-#-#-#-#-#-#-#-#-#-#-
  constant for Seltzer Brems sampling table 
   7.11000000000000D-004   1.00000000000000D-005  -3.14813039927023       0.100000000000000       0.100000000000000        1.00000000000000               42   2.25000000000000D-002   5.23934243724447D-002   5.23934243724447D-002   0.00000000000000D+000  0.562341325190349        1.40585331297587D-002          42          41          41
 
 Al      
 Seltzer Brems total X-sec. table upto E=  0.100000000000000       GeV
   7.110000E-04   3.981272    
   8.021637E-04   3.781690    
   9.050164E-04   3.734151    
   1.021057E-03   3.781300    
   1.151976E-03   3.889644    
   1.299681E-03   4.041549    
   1.466325E-03   4.224387    
   1.654335E-03   4.428195    
   1.866453E-03   4.651865    
   2.105768E-03   4.889023    
   2.375767E-03   5.133548    
   2.680385E-03   5.383969    
   3.024062E-03   5.638619    
   3.411804E-03   5.887901    
   3.849263E-03   6.143292    
   4.342811E-03   6.402201    
   4.899642E-03   6.659961    
   5.527870E-03   6.912560    
   6.236648E-03   7.164047    
   7.036305E-03   7.411698    
   7.938493E-03   7.655582    
   8.956360E-03   7.893173    
   1.010474E-02   8.128243    
   1.140036E-02   8.351811    
   1.286210E-02   8.581006    
   1.451126E-02   8.801865    
   1.637188E-02   9.017033    
   1.847107E-02   9.233334    
   2.083941E-02   9.441839    
   2.351142E-02   9.653194    
   2.652603E-02   9.860499    
   2.992718E-02   10.06110    
   3.376441E-02   10.26379    
   3.809365E-02   10.46512    
   4.297798E-02   10.66288    
   4.848858E-02   10.85647    
   5.470574E-02   11.04697    
   6.172005E-02   11.23557    
   6.963374E-02   11.42070    
   7.856211E-02   11.60046    
   8.863527E-02   11.78265    
  0.1000000       11.46813    
 
 Selzter Brems sampling table; log(v/vmin)/(1-u)
    2.59463    2.54674    2.50462    2.46707    2.43326    2.40256    2.37454
    2.34884    2.32507    2.30304    2.28257    2.26345    2.24556    2.22875
    2.21295    2.19805    2.18396    2.17065    2.15805    2.14606    2.13466
    2.12379    2.11341    2.10355    2.09410    2.08510    2.07651    2.06826
    2.06035    2.05277    2.04555    2.03858    2.03192    2.02542    2.01933
    2.01342    2.00777    2.00215    1.99679    1.99167    1.98687
 
    2.86220    2.80760    2.76008    2.71803    2.68039    2.64644    2.61548
    2.58721    2.56123    2.53725    2.51502    2.49435    2.47509    2.45708
    2.44023    2.42434    2.40937    2.39528    2.38195    2.36935    2.35741
    2.34610    2.33534    2.32508    2.31531    2.30598    2.29709    2.28862
    2.28052    2.27278    2.26537    2.25822    2.25146    2.24489    2.23868
    2.23261    2.22682    2.22134    2.21607    2.21098    2.20593
 
    3.08065    3.02159    2.97043    2.92546    2.88538    2.84939    2.81690
    2.78729    2.76019    2.73522    2.71217    2.69081    2.67091    2.65231
    2.63490    2.61859    2.60329    2.58889    2.57529    2.56236    2.55010
    2.53845    2.52746    2.51694    2.50696    2.49749    2.48845    2.47982
    2.47160    2.46377    2.45624    2.44914    2.44225    2.43569    2.42946
    2.42344    2.41763    2.41212    2.40680    2.40173    2.39692
 
    3.27193    3.20969    3.15608    3.10911    3.06746    3.03020    2.99661
    2.96602    2.93805    2.91241    2.88873    2.86678    2.84641    2.82746
    2.80975    2.79317    2.77753    2.76273    2.74869    2.73551    2.72296
    2.71111    2.69991    2.68930    2.67920    2.66961    2.66052    2.65189
    2.64365    2.63578    2.62833    2.62121    2.61440    2.60787    2.60168
    2.59568    2.59017    2.58463    2.57942    2.57458    2.56975
 
    3.44749    3.38285    3.32743    3.27900    3.23623    3.19801    3.16353
    3.13226    3.10379    3.07763    3.05355    3.03130    3.01073    2.99159
    2.97357    2.95661    2.94055    2.92555    2.91131    2.89790    2.88532
    2.87342    2.86214    2.85148    2.84140    2.83184    2.82278    2.81419
    2.80605    2.79827    2.79096    2.78396    2.77722    2.77089    2.76482
    2.75906    2.75352    2.74837    2.74319    2.73841    2.73388
 
    3.61469    3.54829    3.49138    3.44185    3.39813    3.35912    3.32403
    3.29230    3.26342    3.23697    3.21270    3.19034    3.16958    3.15005
    3.13169    3.11448    3.09831    3.08310    3.06888    3.05550    3.04289
    3.03101    3.01979    3.00922    2.99925    2.98985    2.98093    2.97250
    2.96451    2.95694    2.94975    2.94291    2.93647    2.93031    2.92443
    2.91894    2.91350    2.90851    2.90383    2.89905    2.89474
 
    3.77623    3.70834    3.65030    3.59984    3.55538    3.51577    3.48028
    3.44823    3.41909    3.39249    3.36814    3.34560    3.32448    3.30464
    3.28618    3.26878    3.25257    3.23746    3.22325    3.20990    3.19739
    3.18564    3.17459    3.16420    3.15440    3.14518    3.13647    3.12827
    3.12052    3.11317    3.10620    3.09962    3.09333    3.08742    3.08183
    3.07651    3.07138    3.06654    3.06211    3.05803    3.05352
 
    3.93381    3.86474    3.80582    3.75470    3.70974    3.66983    3.63412
    3.60197    3.57284    3.54632    3.52201    3.49955    3.47868    3.45927
    3.44115    3.42423    3.40844    3.39364    3.37974    3.36672    3.35451
    3.34302    3.33221    3.32200    3.31241    3.30337    3.29483    3.28679
    3.27916    3.27198    3.26513    3.25872    3.25254    3.24677    3.24131
    3.23609    3.23113    3.22631    3.22195    3.21794    3.21366
 
    4.08790    4.01774    3.95801    3.90627    3.86087    3.82063    3.78475
    3.75252    3.72340    3.69691    3.67257    3.65009    3.62925    3.60986
    3.59183    3.57506    3.55936    3.54473    3.53103    3.51821    3.50619
    3.49492    3.48433    3.47439    3.46505    3.45628    3.44801    3.44019
    3.43286    3.42591    3.41935    3.41321    3.40732    3.40180    3.39658
    3.39159    3.38699    3.38261    3.37823    3.37418    3.37050
 
    4.24097    4.16998    4.10962    4.05747    4.01177    3.97137    3.93543
    3.90322    3.87417    3.84775    3.82344    3.80099    3.78022    3.76095
    3.74308    3.72645    3.71097    3.69653    3.68306    3.67047    3.65870
    3.64769    3.63741    3.62774    3.61867    3.61018    3.60218    3.59470
    3.58761    3.58099    3.57475    3.56880    3.56323    3.55805    3.55309
    3.54842    3.54394    3.53983    3.53581    3.53178    3.52854
 
    4.39132    4.31993    4.25934    4.20698    4.16116    4.12067    4.08467
    4.05243    4.02337    3.99681    3.97239    3.94990    3.92904    3.90975
    3.89189    3.87527    3.85985    3.84550    3.83213    3.81968    3.80805
    3.79721    3.78707    3.77761    3.76875    3.76042    3.75264    3.74533
    3.73851    3.73205    3.72603    3.72038    3.71496    3.70994    3.70523
    3.70079    3.69655    3.69259    3.68879    3.68531    3.68192
 
    4.54079    4.46935    4.40881    4.35653    4.31073    4.27032    4.23438
    4.20218    4.17311    4.14649    4.12198    4.09939    4.07851    4.05927
    4.04138    4.02484    4.00946    3.99520    3.98198    3.96965    3.95819
    3.94748    3.93754    3.92825    3.91957    3.91146    3.90388    3.89680
    3.89018    3.88396    3.87811    3.87265    3.86756    3.86268    3.85821
    3.85395    3.84990    3.84616    3.84266    3.83910    3.83606
 
    4.68839    4.61720    4.55701    4.50510    4.45970    4.41966    4.38405
    4.35217    4.32327    4.29676    4.27241    4.24991    4.22919    4.21005
    4.19237    4.17598    4.16082    4.14675    4.13373    4.12163    4.11039
    4.09994    4.09023    4.08120    4.07278    4.06492    4.05762    4.05079
    4.04439    4.03845    4.03287    4.02759    4.02278    4.01819    4.01389
    4.00985    4.00601    4.00242    3.99903    3.99600    3.99305
 
    4.83626    4.76577    4.70642    4.65537    4.61079    4.57150    4.53657
    4.50525    4.47677    4.45062    4.42657    4.40438    4.38398    4.36513
    4.34772    4.33163    4.31675    4.30302    4.29026    4.27849    4.26757
    4.25745    4.24803    4.23929    4.23119    4.22364    4.21663    4.21007
    4.20398    4.19831    4.19300    4.18802    4.18336    4.17913    4.17503
    4.17124    4.16776    4.16437    4.16137    4.15818    4.15560
 
    4.98286    4.91290    4.85406    4.80353    4.75945    4.72059    4.68600
    4.65493    4.62660    4.60054    4.57656    4.55451    4.53420    4.51546
    4.49817    4.48222    4.46753    4.45397    4.44142    4.42984    4.41911
    4.40922    4.40003    4.39151    4.38363    4.37631    4.36952    4.36322
    4.35737    4.35188    4.34684    4.34211    4.33771    4.33351    4.32976
    4.32611    4.32274    4.31960    4.31671    4.31408    4.31143
 
    5.12831    5.05843    4.99962    4.94912    4.90502    4.86608    4.83138
    4.80012    4.77151    4.74522    4.72100    4.69873    4.67824    4.65938
    4.64201    4.62604    4.61134    4.59780    4.58531    4.57379    4.56315
    4.55335    4.54432    4.53595    4.52820    4.52100    4.51438    4.50822
    4.50252    4.49722    4.49231    4.48774    4.48349    4.47957    4.47584
    4.47238    4.46921    4.46627    4.46350    4.46105    4.45844
 
    5.27291    5.20312    5.14437    5.09382    5.04969    5.01066    4.97581
    4.94431    4.91537    4.88880    4.86430    4.84182    4.82112    4.80212
    4.78466    4.76864    4.75388    4.74036    4.72790    4.71644    4.70589
    4.69618    4.68726    4.67900    4.67139    4.66438    4.65788    4.65186
    4.64630    4.64114    4.63640    4.63197    4.62788    4.62411    4.62049
    4.61733    4.61416    4.61139    4.60867    4.60634    4.60395
 
    5.41664    5.34709    5.28853    5.23814    5.19411    5.15510    5.12025
    5.08860    5.05946    5.03265    5.00798    4.98535    4.96450    4.94542
    4.92789    4.91184    4.89709    4.88359    4.87121    4.85983    4.84937
    4.83979    4.83099    4.82287    4.81539    4.80853    4.80215    4.79630
    4.79091    4.78592    4.78133    4.77707    4.77316    4.76950    4.76607
    4.76301    4.76007    4.75736    4.75475    4.75258    4.75031
 
    5.55969    5.49046    5.43211    5.38190    5.33796    5.29901    5.26416
    5.23235    5.20304    5.17598    5.15114    5.12828    5.10732    5.08811
    5.07052    5.05442    5.03970    5.02622    5.01387    5.00257    4.99221
    4.98273    4.97403    4.96608    4.95874    4.95201    4.94581    4.94011
    4.93487    4.93001    4.92558    4.92145    4.91767    4.91415    4.91091
    4.90795    4.90506    4.90257    4.90004    4.89802    4.89588
 
    5.70215    5.63324    5.57516    5.52513    5.48131    5.44243    5.40760
    5.37564    5.34610    5.31881    5.29377    5.27073    5.24959    5.23028
    5.21262    5.19647    5.18175    5.16828    5.15601    5.14476    5.13453
    5.12513    5.11655    5.10870    5.10149    5.09490    5.08887    5.08328
    5.07820    5.07349    5.06919    5.06520    5.06156    5.05823    5.05504
    5.05218    5.04949    5.04703    5.04500    5.04250    5.04081
 
    5.84398    5.77544    5.71761    5.66776    5.62409    5.58529    5.55043
    5.51834    5.48860    5.46106    5.43580    5.41256    5.39129    5.37183
    5.35412    5.33794    5.32322    5.30980    5.29756    5.28641    5.27625
    5.26699    5.25854    5.25081    5.24374    5.23728    5.23138    5.22598
    5.22103    5.21649    5.21228    5.20850    5.20496    5.20169    5.19871
    5.19594    5.19347    5.19121    5.18892    5.18712    5.18517
 
    5.98511    5.91694    5.85936    5.80972    5.76615    5.72748    5.69260
    5.66030    5.63035    5.60261    5.57710    5.55368    5.53227    5.51272
    5.49493    5.47875    5.46404    5.45067    5.43850    5.42745    5.41740
    5.40825    5.39991    5.39231    5.38541    5.37908    5.37333    5.36808
    5.36328    5.35888    5.35488    5.35116    5.34778    5.34471    5.34181
    5.33929    5.33686    5.33462    5.33258    5.33086    5.32897
 
    6.12565    6.05784    6.00056    5.95109    5.90767    5.86906    5.83414
    5.80164    5.77144    5.74350    5.71776    5.69418    5.67262    5.65303
    5.63519    5.61903    5.60434    5.59103    5.57896    5.56803    5.55810
    5.54908    5.54090    5.53346    5.52670    5.52058    5.51495    5.50989
    5.50521    5.50096    5.49709    5.49357    5.49031    5.48734    5.48466
    5.48209    5.47988    5.47784    5.47583    5.47417    5.47246
 
    6.26667    6.19945    6.14261    6.09352    6.05080    6.01280    5.97816
    5.94615    5.91637    5.88873    5.86310    5.83949    5.81779    5.79789
    5.77972    5.76316    5.74807    5.73436    5.72190    5.71058    5.70031
    5.69098    5.68249    5.67478    5.66777    5.66143    5.65562    5.65038
    5.64560    5.64120    5.63723    5.63358    5.63030    5.62724    5.62449
    5.62189    5.61956    5.61754    5.61561    5.61378    5.61209
 
    6.40627    6.33942    6.28285    6.23396    6.19143    6.15350    6.11877
    6.08660    6.05660    6.02872    6.00291    5.97910    5.95726    5.93728
    5.91907    5.90250    5.88744    5.87379    5.86145    5.85023    5.84009
    5.83088    5.82258    5.81500    5.80816    5.80197    5.79636    5.79128
    5.78660    5.78239    5.77857    5.77509    5.77189    5.76901    5.76635
    5.76402    5.76174    5.75970    5.75800    5.75618    5.75469
 
    6.54446    6.47794    6.42159    6.37286    6.33044    6.29252    6.25766
    6.22530    6.19507    6.16699    6.14099    6.11705    6.09512    6.07512
    6.05693    6.04042    6.02547    6.01193    5.99970    5.98866    5.97868
    5.96967    5.96154    5.95417    5.94753    5.94151    5.93609    5.93117
    5.92669    5.92265    5.91898    5.91565    5.91265    5.90992    5.90742
    5.90518    5.90310    5.90122    5.89948    5.89760    5.89640
 
    6.68174    6.61547    6.55929    6.51069    6.46834    6.43038    6.39538
    6.36280    6.33233    6.30405    6.27789    6.25387    6.23189    6.21188
    6.19376    6.17734    6.16251    6.14915    6.13711    6.12623    6.11647
    6.10765    6.09972    6.09256    6.08616    6.08032    6.07509    6.07037
    6.06609    6.06223    6.05871    6.05553    6.05265    6.05008    6.04772
    6.04555    6.04364    6.04189    6.04031    6.03907    6.03739
 
    6.81892    6.75295    6.69698    6.64849    6.60624    6.56821    6.53303
    6.50023    6.46951    6.44099    6.41466    6.39053    6.36850    6.34850
    6.33042    6.31410    6.29940    6.28617    6.27428    6.26362    6.25402
    6.24541    6.23770    6.23072    6.22448    6.21888    6.21383    6.20928
    6.20516    6.20145    6.19808    6.19507    6.19234    6.18987    6.18766
    6.18556    6.18382    6.18219    6.18050    6.17913    6.17799
 
    6.95440    6.88861    6.83272    6.78428    6.74204    6.70387    6.66851
    6.63542    6.60446    6.57573    6.54928    6.52506    6.50302    6.48305
    6.46507    6.44888    6.43435    6.42132    6.40963    6.39920    6.38982
    6.38141    6.37391    6.36718    6.36111    6.35570    6.35086    6.34648
    6.34258    6.33902    6.33582    6.33298    6.33041    6.32812    6.32599
    6.32411    6.32228    6.32090    6.31927    6.31842    6.31693
 
    7.09054    7.02500    6.96923    6.92092    6.87870    6.84042    6.80484
    6.77145    6.74026    6.71130    6.68467    6.66035    6.63831    6.61838
    6.60046    6.58442    6.57003    6.55714    6.54567    6.53540    6.52621
    6.51805    6.51073    6.50418    6.49833    6.49312    6.48845    6.48425
    6.48047    6.47711    6.47408    6.47135    6.46892    6.46671    6.46472
    6.46299    6.46129    6.45976    6.45849    6.45743    6.45627
 
    7.22543    7.16005    7.10438    7.05609    7.01384    6.97541    6.93957
    6.90589    6.87444    6.84527    6.81849    6.79409    6.77202    6.75216
    6.73436    6.71841    6.70421    6.69153    6.68022    6.67015    6.66122
    6.65323    6.64613    6.63980    6.63413    6.62913    6.62459    6.62057
    6.61698    6.61379    6.61088    6.60833    6.60600    6.60397    6.60206
    6.60040    6.59877    6.59746    6.59619    6.59481    6.59414
 
    7.35805    7.29266    7.23695    7.18863    7.14626    7.10757    7.07145
    7.03744    7.00570    6.97634    6.94943    6.92501    6.90297    6.88318
    6.86552    6.84975    6.83573    6.82326    6.81220    6.80234    6.79362
    6.78585    6.77896    6.77285    6.76739    6.76255    6.75824    6.75442
    6.75096    6.74794    6.74517    6.74275    6.74053    6.73863    6.73683
    6.73529    6.73378    6.73254    6.73138    6.73029    6.72945
 
    7.49100    7.42568    7.37000    7.32166    7.27923    7.24037    7.20394
    7.16966    7.13767    7.10813    7.08116    7.05672    7.03474    7.01508
    6.99754    6.98197    6.96815    6.95590    6.94507    6.93544    6.92694
    6.91943    6.91276    6.90685    6.90158    6.89696    6.89280    6.88914
    6.88590    6.88296    6.88040    6.87807    6.87598    6.87414    6.87253
    6.87099    6.86969    6.86859    6.86733    6.86660    6.86562
 
    7.62271    7.55743    7.50174    7.45345    7.41093    7.37186    7.33521
    7.30064    7.26847    7.23882    7.21180    7.18740    7.16552    7.14602
    7.12869    7.11335    7.09975    7.08777    7.07718    7.06780    7.05954
    7.05226    7.04580    7.04011    7.03506    7.03062    7.02664    7.02319
    7.02009    7.01733    7.01485    7.01266    7.01075    7.00904    7.00743
    7.00607    7.00494    7.00370    7.00288    7.00164    7.00105
 
    7.75329    7.68801    7.63230    7.58400    7.54142    7.50213    7.46522
    7.43042    7.39811    7.36839    7.34137    7.31707    7.29536    7.27607
    7.25898    7.24388    7.23057    7.21883    7.20849    7.19941    7.19142
    7.18435    7.17817    7.17268    7.16785    7.16360    7.15981    7.15649
    7.15353    7.15094    7.14865    7.14658    7.14477    7.14315    7.14170
    7.14039    7.13919    7.13825    7.13722    7.13622    7.13574
 
    7.88423    7.81896    7.76323    7.71494    7.67226    7.63277    7.59561
    7.56062    7.52817    7.49841    7.47147    7.44729    7.42578    7.40670
    7.38988    7.37504    7.36202    7.35055    7.34051    7.33169    7.32392
    7.31715    7.31117    7.30590    7.30128    7.29719    7.29363    7.29046
    7.28768    7.28520    7.28304    7.28110    7.27937    7.27792    7.27651
    7.27531    7.27426    7.27321    7.27263    7.27174    7.27103
 
    8.01447    7.94919    7.89346    7.84518    7.80240    7.76274    7.72535
    7.69023    7.65771    7.62797    7.60115    7.57716    7.55588    7.53709
    7.52052    7.50601    7.49327    7.48215    7.47239    7.46384    7.45634
    7.44980    7.44407    7.43907    7.43463    7.43076    7.42735    7.42440
    7.42172    7.41944    7.41737    7.41557    7.41394    7.41252    7.41126
    7.41020    7.40915    7.40822    7.40748    7.40689    7.40621
 
    8.14402    8.07875    8.02299    7.97475    7.93193    7.89208    7.85454
    7.81935    7.78683    7.75720    7.73058    7.70683    7.68585    7.66737
    7.65116    7.63700    7.62459    7.61378    7.60432    7.59609    7.58888
    7.58261    7.57711    7.57231    7.56813    7.56446    7.56123    7.55841
    7.55592    7.55374    7.55178    7.55009    7.54860    7.54732    7.54616
    7.54516    7.54425    7.54348    7.54261    7.54188    7.54147
 
    8.27367    8.20851    8.15286    8.10474    8.06191    8.02203    7.98438
    7.94918    7.91673    7.88729    7.86089    7.83746    7.81678    7.79865
    7.78280    7.76896    7.75692    7.74643    7.73729    7.72935    7.72244
    7.71643    7.71118    7.70659    7.70259    7.69914    7.69606    7.69339
    7.69111    7.68906    7.68724    7.68567    7.68426    7.68305    7.68198
    7.68104    7.68024    7.67945    7.67883    7.67805    7.67767
 
    8.40252    8.33754    8.28209    8.23421    8.19146    8.15159    8.11399
    8.07886    8.04660    8.01742    7.99133    7.96824    7.94797    7.93022
    7.91477    7.90131    7.88965    7.87951    7.87070    7.86308    7.85642
    7.85070    7.84568    7.84135    7.83756    7.83428    7.83138    7.82887
    7.82667    7.82479    7.82309    7.82163    7.82035    7.81926    7.81825
    7.81731    7.81656    7.81580    7.81514    7.81479    7.81427
 
    8.53062    8.46574    8.41041    8.36269    8.31997    8.28006    8.24244
    8.20742    8.17534    8.14640    8.12066    8.09794    8.07805    8.06071
    8.04564    8.03259    8.02127    8.01147    8.00299    7.99568    7.98930
    7.98383    7.97904    7.97493    7.97136    7.96825    7.96555    7.96319
    7.96115    7.95933    7.95777    7.95644    7.95524    7.95421    7.95328
    7.95249    7.95172    7.95116    7.95072    7.95027    7.94965
 
    8.72953    8.67895    8.63848    8.60579    8.57914    8.55731    8.53926
    8.52428    8.51179    8.50136    8.49259    8.48522    8.47901    8.47376
    8.46931    8.46555    8.46235    8.45966    8.45733    8.45537    8.45368
    8.45224    8.45099    8.44994    8.44906    8.44825    8.44760    8.44701
    8.44653    8.44613    8.44571    8.44544    8.44517    8.44490    8.44470
    8.44452    8.44434    8.44407    8.44411    8.44372    7.74477
 
 
 Seltzer Brems sampling tbl in B; log(v/vmin)
   11.80847   13.04627   11.77792   11.79368   11.81221   11.80380   11.84955
   11.72951   11.81493   11.76148   11.74560   11.73867   11.71894   11.67605
   11.63635   11.57279   11.50726   11.41861   11.30879   11.18105   11.03190
   10.86451   10.67627   10.47400   10.25838   10.03153    9.79774    9.55972
    9.31855    9.07665    8.83548    8.59504    8.35680    8.12159    7.89009
    7.66239    7.43952    7.22180    7.01016    6.80453    6.60553
 
   18.20106   19.15515   18.23432   18.20956   18.20055   18.19024   18.23374
   18.09305   18.11537   18.06988   18.02943   17.95142   17.84095   17.71109
   17.54341   17.34460   17.10354   16.81437   16.48336   16.11456   15.71404
   15.29218   14.85144   14.40235   13.94911   13.49779   13.05034   12.61171
   12.18139   11.76178   11.35259   10.95431   10.56774   10.19341    9.83219
    9.48478    9.15121    8.83173    8.52572    8.23304    7.95310
 
   25.49514   25.28161   25.46767   25.50260   25.48080   25.46578   25.35732
   25.34766   25.32298   25.19055   25.01095   24.80780   24.51913   24.18582
   23.77505   23.28629   22.73683   22.12363   21.46374   20.76326   20.04437
   19.31711   18.58921   17.87202   17.16842   16.48539   15.82462   15.18665
   14.57258   13.98131   13.41461   12.87153   12.35310   11.85824   11.38707
   10.93844   10.51240   10.10768    9.72343    9.35854    9.01220
 
   33.72336   34.40717   33.65948   33.70655   33.69722   33.65190   33.52270
   33.49735   33.25341   33.00638   32.61073   32.14703   31.56369   30.87844
   30.07290   29.17464   28.20122   27.16703   26.09992   25.02110   23.95103
   22.90023   21.88060   20.89676   19.95313   19.05008   18.18684   17.36271
   16.57817   15.83232   15.12496   14.45519   13.82206   13.22384   12.65930
   12.12610   11.62259   11.14725   10.69777   10.27329    9.87211
 
   42.72018   43.56016   42.62183   42.70904   42.66134   42.56983   42.34900
   42.17437   41.78318   41.26322   40.54527   39.66783   38.62927   37.44056
   36.11438   34.69319   33.21997   31.72046   30.22650   28.76543   27.35012
   25.99592   24.70396   23.47354   22.30643   21.19957   20.15305   19.16418
   18.23154   17.35415   16.52856   15.75363   15.02584   14.34289   13.70133
   13.09830   12.53110   11.99759   11.49527   11.02217   10.57670
 
   51.81201   52.72866   51.78776   51.76431   51.69994   51.53733   51.20759
   50.71514   50.14560   49.24425   48.07115   46.67452   45.05318   43.26557
   41.36472   39.40282   37.44001   35.50070   33.62456   31.82516   30.11405
   28.49483   26.96490   25.52320   24.16619   22.89217   21.69633   20.57701
   19.52848   18.54841   17.63246   16.77630   15.97608   15.22760   14.52664
   13.86993   13.25430   12.67635   12.13377   11.62409   11.14561
 
   60.84188   61.90624   60.77475   60.79167   60.66552   60.39370   60.01791
   59.23383   58.12052   56.69047   54.97616   52.93921   50.67128   48.25879
   45.78170   43.30840   40.89366   38.56974   36.35774   34.26917   32.30349
   30.45871   28.73133   27.11515   25.60641   24.19885   22.88868   21.66916
   20.53369   19.47649   18.49236   17.57561   16.72131   15.92369   15.17890
   14.48237   13.83072   13.22029   12.64793   12.11178   11.60868
 
   69.71069   71.08915   69.76693   69.63772   69.43568   69.01837   68.42073
   67.21190   65.59019   63.58495   61.16877   58.39679   55.45438   52.42481
   49.39811   46.45718   43.64078   40.98361   38.48530   36.15406   33.97918
   31.95173   30.06662   28.31664   26.69225   25.18727   23.79240   22.49955
   21.30011   20.18733   19.15352   18.19353   17.29974   16.46738   15.69122
   14.96653   14.28923   13.65580   13.06310   12.50762   11.98684
 
   78.23193   77.24582   78.19403   78.11238   77.81791   77.22380   76.32308
   74.59677   72.42737   69.72786   66.51578   63.03482   59.39241   55.76916
   52.24811   48.89801   45.74291   42.80456   40.07928   37.54994   35.20814
   33.04128   31.04209   29.19459   27.48987   25.91473   24.46092   23.11646
   21.87352   20.72247   19.65528   18.66591   17.74646   16.89079   16.09430
   15.35114   14.65725   14.00881   13.40225   12.83429   12.30189
 
   85.56027   86.42987   85.48404   85.38920   84.99181   84.20110   82.73289
   80.68914   77.93513   74.50388   70.57297   66.41520   62.21313   58.09365
   54.17381   50.50308   47.09523   43.95028   41.05911   38.39498   35.94502
   33.69424   31.62693   29.72471   27.97528   26.36403   24.87877   23.50894
   22.24319   21.07325   19.99065   18.98715   18.05584   17.19038   16.38413
   15.63273   14.93125   14.27578   13.66266   13.08854   12.55031
 
   93.19978   92.57964   93.15100   92.92597   92.41243   91.36070   89.52919
   86.82641   83.27683   78.99526   74.32363   69.47666   64.65477   60.04429
   55.73750   51.76928   48.12986   44.80736   41.77016   38.99797   36.46132
   34.14841   32.03055   30.09239   28.31334   26.68038   25.17802   23.79440
   22.51791   21.33938   20.24920   19.23978   18.30289   17.43181   16.62113
   15.86507   15.15905   14.49934   13.88184   13.30361   12.76118
 
  100.23417   98.72513  100.05669   99.86068   99.17822   97.82754   95.38890
   92.13165   87.74736   82.64237   77.24379   71.72731   66.37007   61.35533
   56.73148   52.53135   48.71327   45.25214   42.11425   39.26772   36.68290
   34.33469   32.19571   30.24551   28.46019   26.82457   25.32260   23.94112
   22.66769   21.49259   20.40634   19.40052   18.46682   17.59844   16.78939
   16.03462   15.32930   14.66959   14.05172   13.47264   12.92898
 
  107.52343  107.90653  107.33955  106.94286  106.09579  104.44257  101.61926
   97.30993   91.95041   85.88147   79.65865   73.52337   67.70559   62.33376
   57.44587   53.03304   49.06415   45.48967   42.26978   39.36641   36.74445
   34.37425   32.22820   30.27412   28.49428   26.86635   25.37483   24.00352
   22.74227   21.57841   20.50286   19.50652   18.58152   17.72064   16.91768
   16.16782   15.46640   14.80929   14.19297   13.61461   13.07134
 
  114.01350  114.04666  113.47972  113.12144  112.15526  110.23208  106.84804
  101.62018   95.06925   88.08305   81.15513   74.50228   68.32954   62.71126
   57.64022   53.09992   49.02368   45.37642   42.10751   39.17781   36.54890
   34.18320   32.04647   30.11291   28.35448   26.75182   25.28515   23.93978
   22.70223   21.56094   20.50695   19.52992   18.62210   17.77609   16.98567
   16.24634   15.55301   14.90248   14.29108   13.71613   13.17521
 
  120.66728  120.18362  119.99714  119.44733  118.29506  115.96016  111.74420
  105.42321   97.88853   90.03573   82.36853   75.23244   68.71942   62.87613
   57.64455   52.98253   48.82795   45.12634   41.83196   38.89740   36.27306
   33.92359   31.80911   29.90187   28.17232   26.59684   25.15883   23.83968
   22.62785   21.51109   20.47852   19.52105   18.63095   17.80054   17.02381
   16.29592   15.61265   14.97025   14.36581   13.79660   13.26043
 
  127.38003  126.31774  126.51208  125.80827  124.39665  121.45640  116.22536
  108.83736  100.28664   91.60406   83.32813   75.73408   68.90872   62.83904
   57.44634   52.67937   48.46987   44.74830   41.45029   38.52491   35.92432
   33.60361   31.52302   29.64828   27.95276   26.41087   25.00311   23.71331
   22.52789   21.43476   20.42376   19.48580   18.61287   17.79790   17.03498
   16.31970   15.64762   15.01535   14.42004   13.85903   13.33037
 
  133.99466  132.44932  132.83444  132.05414  130.31741  126.60864  120.23731
  111.83346  102.15085   92.71784   83.90949   75.92241   68.83777   62.57064
   57.05482   52.22107   47.97929   44.25151   40.96992   38.07254   35.50516
   33.22128   31.17800   29.34366   27.68626   26.18066   24.80759   23.54946
   22.39270   21.32534   20.33841   19.42180   18.56776   17.77017   17.02316
   16.32177   15.66258   15.04196   14.45715   13.90576   13.38587
 
  140.49893  141.62427  139.15460  138.22263  136.03359  131.40705  123.77521
  114.08282  103.57571   93.37638   84.11233   75.79740   68.48766   62.09886
   56.51151   51.63924   47.39283   43.67911   40.42144   37.55887   35.03328
   32.79118   30.79137   28.99822   27.38147   25.91463   24.57771   23.35360
   22.22835   21.18985   20.22814   19.33493   18.50238   17.72406   16.99428
   16.30856   15.66354   15.05549   14.48201   13.94082   13.43008
 
  146.99767  147.75218  145.28234  144.35151  141.59286  135.88088  126.85315
  116.08226  104.56541   93.70214   83.97782   75.41421   67.95457   61.46598
   55.83763   50.95791   46.72310   43.03628   39.82045   37.00263   34.52149
   32.32390   30.37195   28.62371   27.04833   25.62227   24.32340   23.13429
   22.04159   21.03245   20.09812   19.22971   18.41917   17.66104   16.94968
   16.28070   15.65059   15.05602   14.49491   13.96484   13.46407
 
  153.39128  153.87805  151.59861  150.36564  146.87617  139.90320  129.71179
  117.30923  105.10102   93.68347   83.61645   74.82157   67.23494   60.68335
   55.04172   50.17580   45.98129   42.33663   39.17021   36.40345   33.97203
   31.82751   29.92305   28.22148   26.69166   25.30668   24.04732   22.89460
   21.83444   20.85663   19.95038   19.10709   18.32053   17.58359   16.89158
   16.24018   15.62575   15.04583   14.49770   13.97950   13.48938
 
  159.68303  160.00208  157.53219  156.22751  151.85974  143.45931  131.74035
  118.24989  105.18034   93.31915   82.94888   74.01919   66.34774   59.77867
   54.15474   49.33214   45.17956   41.59452   38.48221   35.77368   33.39749
   31.30621   29.45332   27.80023   26.31517   24.97413   23.75396   22.63841
   21.61292   20.66650   19.78905   18.97245   18.21004   17.49490   16.82311
   16.18980   15.59204   15.02718   14.49263   13.98683   13.50786
 
  165.78227  166.12440  163.65462  161.86187  156.42439  146.45152  133.19356
  118.71559  104.88445   92.60006   82.04793   73.03002   65.32825   58.76379
   53.18557   48.41023   44.32325   40.80941   37.76363   35.11607   32.80264
   30.76601   28.96608   27.36422   25.92611   24.62874   23.44953   22.37185
   21.38101   20.46667   19.61865   18.82889   18.09085   17.39878   16.74737
   16.13289   15.55244   15.00297   14.48251   13.98920   13.52197
 
  171.82085  172.24517  169.58500  167.38172  160.65354  148.96773  134.11388
  118.72936  104.32279   91.71438   80.95849   71.88480   64.17923   57.66846
   52.14606   47.45043   43.44357   39.99629   37.02264   34.44335   32.19289
   30.21551   28.47018   26.91798   25.52835   24.27482   23.13684   22.09656
   21.14082   20.25899   19.44033   18.67832   17.96541   17.29603   16.66569
   16.07036   15.50727   14.97350   14.46762   13.98741   13.53194
 
  177.59765  178.36451  175.13281  172.52357  164.33265  150.85167  134.72811
  118.25049  103.37582   90.52772   79.71050   70.60405   62.93428   56.48944
   51.04417   46.42748   42.50288   39.14471   36.24716   33.73969   31.55533
   29.63793   27.94828   26.44845   25.10721   23.89787   22.80171   21.80038
   20.88050   20.03086   19.24306   18.50884   17.82168   17.17602   16.56739
   15.99188   15.44680   14.92983   14.43891   13.97241   13.52944
 
  183.49465  184.48253  181.06044  177.66400  167.78359  152.39650  134.87567
  117.51889  102.18429   89.18794   78.32236   69.22733   61.64038   55.27471
   49.91560   45.40765   41.57055   38.29960   35.48053   33.04615   30.92845
   29.07319   27.43869   25.99061   24.69708   23.53228   22.47713   21.51321
   20.62859   19.81172   19.05359   18.34704   17.68547   17.06330   16.47615
   15.92019   15.39312   14.89243   14.41642   13.96352   13.53277
 
  189.09962  187.54974  186.60565  182.42652  170.61297  153.29940  134.41062
  116.45591  100.79801   87.60643   76.73602   67.74192   60.25056   54.00404
   48.76592   44.36389   40.63176   37.44935   34.71734   32.35838   30.31120
   28.51838   26.94072   25.54389   24.29871   23.17766   22.16366   21.23785
   20.38750   19.60310   18.87428   18.19501   17.55861   16.95916   16.39311
   15.85661   15.34715   14.86237   14.40069   13.96106   13.54223
 
  194.50853  193.66517  192.14970  186.77345  172.90429  153.66796  133.68706
  115.08954   99.13766   85.91341   75.07630   66.17934   58.80612   52.69362
   47.58661   43.30539   39.68152   36.59958   33.95447   31.67388   29.69657
   27.96774   26.44788   25.10429   23.90509   22.82911   21.85533   20.96686
   20.15148   19.39885   18.69977   18.04715   17.43538   16.85892   16.31380
   15.79633   15.30436   14.83557   14.38829   13.96159   13.55452
 
  199.98814  199.77962  197.50204  191.00621  174.86029  153.69777  132.49728
  113.47103   97.42495   84.18745   73.39481   64.60176   57.37002   51.38917
   46.41167   42.25015   38.73375   35.74694   33.18928   30.98746   29.08035
   27.41368   25.95217   24.65937   23.50815   22.47563   21.54185   20.69065
   19.90958   19.18828   18.51870   17.89350   17.30664   16.75341   16.22918
   15.73101   15.25678   14.80380   14.37119   13.95787   13.56296
 
  205.16730  205.89315  202.85339  194.67277  176.19485  153.18369  131.04461
  111.54695   95.43705   82.28950   71.63966   62.97379   55.89826   50.07260
   45.23795   41.19580   37.79873   34.91378   32.44713   30.32264   28.48667
   26.88433   25.47865   24.23731   23.13413   22.14469   21.25029   20.43555
   19.68789   18.99817   18.35647   17.75770   17.19516   16.66385   16.16026
   15.68049   15.22292   14.78566   14.36673   13.96589   13.58217
 
  210.49310  208.95538  208.01319  198.22527  177.24193  152.40933  129.46589
  109.55450   93.40885   80.36625   69.82849   61.33436   54.41836   48.75008
   44.05978   40.14586   36.85499   34.06899   31.69192   29.64727   27.87938
   26.33756   24.98894   23.79879   22.74131   21.79569   20.94058   20.16252
   19.44935   18.79047   18.17835   17.60614   17.06821   16.55988   16.07696
   15.61688   15.17685   14.75542   14.35119   13.96355   13.59184
 
  215.66087  215.06713  213.17213  201.28698  177.76312  151.23308  127.39081
  107.45706   91.31893   78.40435   68.03121   59.70438   52.96410   47.44614
   42.89540   39.11417   35.93742   33.24948   30.95680   28.99112   27.29272
   25.81393   24.52012   23.38062   22.36930   21.46433   20.64860   19.90701
   19.22660   18.59821   18.01420   17.46817   16.95439   16.46821   16.00582
   15.56408   15.14117   14.73495   14.34483   13.96984   13.60947
 
  220.53733  221.17818  217.75822  203.78261  177.71077  149.65020  125.11927
  105.25335   89.16658   76.40339   66.24755   58.08366   51.51635   46.17453
   41.77560   38.11630   35.05201   32.46944   30.26444   28.37551   26.74656
   25.32977   24.09091   22.99991   22.03372   21.17012   20.39192   19.68491
   19.03604   18.43740   17.88055   17.35917   16.86846   16.40295   15.95967
   15.53521   15.12787   14.73588   14.35852   13.99475   13.64460
 
  225.51267  224.23773  222.53430  206.05128  177.40699  147.87095  123.05484
  102.83484   86.98397   74.38347   64.37283   56.45447   50.08160   44.89854
   40.65254   37.12376   34.17675   31.68785   29.57082   27.75582   26.18957
   24.83052   23.64402   22.60149   21.67955   20.85699   20.11816   19.44655
   18.83142   18.26319   17.73468   17.23944   16.77267   16.32896   15.90545
   15.49886   15.10789   14.73037   14.36580   14.01389   13.67417
 
  230.41601  230.34744  226.92827  208.01773  176.75646  145.86124  120.57692
  100.35622   84.67029   72.28171   62.52298   54.84225   48.65883   43.64505
   39.55646   36.16731   33.33540   30.93762   28.90593   27.15927   25.65640
   24.35292   23.21508   22.21953   21.33924   20.55769   19.85620   19.22065
   18.63954   18.10296   17.60303   17.13442   16.69101   16.26923   15.86482
   15.47574   15.09997   14.73636   14.38402   14.04289   13.71283
 
  235.17918  236.45663  230.94020  209.41819  175.67577  143.60165  117.97830
   97.81235   82.31832   70.15603   60.69671   53.21927   47.24744   42.42742
   38.48705   35.23108   32.51572   30.21862   28.26590   26.59189   25.14949
   23.89896   22.80919   21.85829   21.02005   20.27839   19.61310   19.01325
   18.46432   17.95834   17.48655   17.04314   16.62345   16.22230   15.83649
   15.46413   15.10285   14.75224   14.41135   14.08048   13.75941
 
  239.84674  239.51418  234.95156  210.17730  174.14114  141.09716  115.26144
   95.20459   79.92888   68.06675   58.85504   51.61264   45.86658   41.20437
   37.42389   34.29960   31.69968   29.49774   27.63192   26.02940   24.64905
   23.45443   22.41626   21.50933   20.71242   20.00786   19.37838   18.81074
   18.29198   17.81389   17.36867   16.94928   16.55081   16.16982   15.80231
   15.44618   15.09981   14.76236   14.43330   14.11285   13.80112
 
  244.40985  245.62235  238.58093  210.44587  172.24808  138.40651  112.45469
   92.71142   77.60661   66.01942   57.08017   50.05165   44.49898   40.03233
   36.39865   33.39690   30.90589   28.80380   27.01560   25.48722   24.16764
   23.02967   22.03973   21.17697   20.41999   19.75231   19.15734   18.62151
   18.13245   17.68174   17.26101   16.86483   16.48765   16.12573   15.77586
   15.43540   15.10318   14.77847   14.46063   14.15007   13.84721
 
  248.90638  248.67884  241.82837  210.29932  170.09208  135.56885  109.57697
   90.01675   75.26193   64.01790   55.29612   48.53809   43.18385   38.89840
   35.40175   32.53131   30.14077   28.13236   26.42474   24.96250   23.70792
   22.62069   21.67973   20.85986   20.14165   19.50974   18.94829   18.44335
   17.98315   17.55963   17.16365   16.78985   16.43363   16.09077   15.75753
   15.43242   15.11377   14.80104   14.49399   14.19291   13.89840
 
  253.31943  251.73483  244.88462  209.77537  167.64934  132.58915  106.63069
   87.44821   72.99119   62.00276   53.58167   47.04524   41.90234   37.77509
   34.42303   31.67172   29.38632   27.46930   25.83676   24.44621   23.25257
   22.22147   21.32610   20.54810   19.86901   19.27202   18.74158   18.26644
   17.83425   17.43611   17.06505   16.71379   16.37826   16.05426   15.73814
   15.42821   15.12301   14.82219   14.52566   14.23387   13.94738
 
  257.56611  257.84179  247.36821  208.79870  164.95572  129.49192  103.62770
   84.68593   70.70259   60.03628   51.85992   45.57426   40.65524   36.70435
   33.49366   30.85740   28.67288   26.83841   25.28573   23.96273   22.82893
   21.85244   21.00610   20.27021   19.62617   19.06063   18.56004   18.11116
   17.70538   17.33175   16.98368   16.65419   16.33818   16.03199   15.73170
   15.43583   15.14282   14.85281   14.56564   14.28195   14.00263
 
  261.85748  260.89701  249.66070  207.44473  162.09480  126.34073  100.59868
   82.07273   68.40571   58.12443   50.25252   44.18141   39.44436   35.67371
   32.59411   30.07350   27.98898   26.24020   24.75691   23.49714   22.42235
   21.49539   20.69603   20.00064   19.39276   18.86036   18.38890   17.96789
   17.58756   17.23814   16.91273   16.60417   16.30734   16.01788   15.73314
   15.45047   15.16968   14.88998   14.61173   14.33592   14.06355
 
  255.07217  270.05484  251.18981  205.03508  156.04823  118.85832   93.06539
   74.90835   62.19764   52.81482   45.82737   40.46171   36.23042   32.87190
   30.14187   27.90094   26.03339   24.45928   23.12843   21.99325   21.01817
   20.17794   19.45183   18.82130   18.27168   17.79010   17.36561   16.98668
   16.64522   16.33310   16.04334   15.76922   15.50626   15.24942   14.99627
   14.74427   14.49259   14.24047   13.98812   13.73647   13.48636
 
 
  constant for Brems sampling table at low energies
   63.8481205758033        1.00000000000000D-004   1.00000000000000D-002  -2.00000000000000        63.8481205758033        4.20370366838243D-002  0.100000000000000        1.00000000000000               38   2.25000000000000D-002  0.102841841025864       0.102841841025864        0.00000000000000D+000  0.562341325190349        1.40585331297587D-002          38          41          41
 
 Al      
 Brems total X-sec. table upto E=   63.8481205758034       GeV
   1.000000E-02   4.733848    
   1.267190E-02   5.158964    
   1.605771E-02   5.574223    
   2.034818E-02   5.983606    
   2.578501E-02   6.388942    
   3.267452E-02   6.781928    
   4.140483E-02   7.173186    
   5.246780E-02   7.555081    
   6.648669E-02   7.930624    
   8.425129E-02   8.296478    
  0.1067624       8.438659    
  0.1352883       8.786512    
  0.1714360       9.130834    
  0.2172421       9.472018    
  0.2752870       9.810433    
  0.3488411       10.14642    
  0.4420480       10.48028    
  0.5601590       10.81229    
  0.7098280       11.14271    
  0.8994872       11.47175    
   1.139821       11.79933    
   1.444371       12.13222    
   1.830292       12.46480    
   2.319329       12.78364    
   2.939031       13.07810    
   3.724312       13.33202    
   4.719412       13.53693    
   5.980393       13.68555    
   7.578296       13.77694    
   9.603143       13.81006    
   12.16901       13.78858    
   15.42045       13.71989    
   19.54065       13.60670    
   24.76172       13.45600    
   31.37781       13.27447    
   39.76165       13.06696    
   50.38558       12.83680    
   63.84812       12.45295    
 
 Brems sampling table at low E for Small Eg
    4.01443    3.95849    3.91009    3.86758    3.82983    3.79598    3.76537
    3.73745    3.71181    3.68812    3.66616    3.64566    3.62647    3.60833
    3.59081    3.57385    3.55751    3.54160    3.52629    3.51164    3.49754
    3.48398    3.47103    3.45862    3.44679    3.43548    3.42474    3.41449
    3.40474    3.39541    3.38660    3.37820    3.37016    3.36252    3.35535
    3.34848    3.34188    3.33561    3.32946    3.32407    3.31859
 
    4.27576    4.22016    4.17200    4.12972    4.09218    4.05852    4.02807
    4.00029    3.97480    3.95152    3.93001    3.90981    3.89068    3.87231
    3.85471    3.83770    3.82125    3.80532    3.79003    3.77528    3.76110
    3.74750    3.73443    3.72197    3.71002    3.69864    3.68780    3.67748
    3.66762    3.65824    3.64931    3.64090    3.63280    3.62516    3.61788
    3.61103    3.60446    3.59831    3.59241    3.58664    3.58141
 
    4.53445    4.47895    4.43084    4.38857    4.35100    4.31731    4.28680
    4.25892    4.23346    4.21013    4.18838    4.16784    4.14812    4.12920
    4.11088    4.09313    4.07601    4.05951    4.04364    4.02838    4.01378
    3.99985    3.98654    3.97388    3.96189    3.95043    3.93963    3.92936
    3.91964    3.91048    3.90179    3.89357    3.88581    3.87847    3.87143
    3.86490    3.85861    3.85273    3.84713    3.84205    3.83702
 
    4.79203    4.73662    4.68851    4.64621    4.60860    4.57484    4.54421
    4.51622    4.49076    4.46725    4.44510    4.42394    4.40359    4.38389
    4.36479    4.34632    4.32855    4.31147    4.29510    4.27947    4.26457
    4.25043    4.23699    4.22431    4.21234    4.20101    4.19034    4.18028
    4.17081    4.16192    4.15350    4.14563    4.13821    4.13124    4.12459
    4.11847    4.11257    4.10725    4.10216    4.09709    4.09255
 
    5.04909    4.99378    4.94569    4.90336    4.86570    4.83180    4.80103
    4.77298    4.74739    4.72352    4.70082    4.67897    4.65783    4.63730
    4.61743    4.59829    4.57991    4.56233    4.54557    4.52965    4.51458
    4.50036    4.48694    4.47434    4.46250    4.45139    4.44097    4.43120
    4.42205    4.41348    4.40547    4.39795    4.39096    4.38434    4.37820
    4.37240    4.36705    4.36190    4.35722    4.35286    4.34858
 
    5.30251    5.24695    5.19859    5.15598    5.11801    5.08384    5.05275
    5.02453    4.99860    4.97415    4.95068    4.92802    4.90600    4.88463
    4.86405    4.84426    4.82538    4.80742    4.79043    4.77440    4.75929
    4.74516    4.73190    4.71952    4.70798    4.69716    4.68716    4.67774
    4.66904    4.66091    4.65332    4.64629    4.63975    4.63360    4.62786
    4.62257    4.61757    4.61299    4.60852    4.60435    4.60087
 
    5.55363    5.49766    5.44894    5.40602    5.36777    5.33330    5.30197
    5.27359    5.24723    5.22214    5.19792    5.17443    5.15157    5.12954
    5.10837    5.08819    5.06902    5.05092    5.03392    5.01797    5.00307
    4.98921    4.97630    4.96431    4.95314    4.94283    4.93326    4.92438
    4.91618    4.90857    4.90153    4.89495    4.88893    4.88331    4.87803
    4.87318    4.86876    4.86458    4.86075    4.85703    4.85371
 
    5.80416    5.74782    5.69874    5.65550    5.61694    5.58216    5.55066
    5.52199    5.49511    5.46927    5.44430    5.42001    5.39649    5.37392
    5.35239    5.33198    5.31275    5.29470    5.27788    5.26222    5.24770
    5.23425    5.22184    5.21033    5.19972    5.18998    5.18099    5.17267
    5.16504    5.15794    5.15151    5.14550    5.13995    5.13482    5.13013
    5.12579    5.12172    5.11797    5.11453    5.11146    5.10843
 
    6.05302    5.99625    5.94682    5.90326    5.86444    5.82940    5.79781
    5.76880    5.74137    5.71493    5.68926    5.66435    5.64044    5.61760
    5.59595    5.57558    5.55656    5.53885    5.52246    5.50730    5.49334
    5.48048    5.46871    5.45784    5.44790    5.43879    5.43045    5.42280
    5.41573    5.40932    5.40341    5.39799    5.39297    5.38844    5.38415
    5.38034    5.37673    5.37355    5.37042    5.36762    5.36513
 
    6.30011    6.24300    6.19337    6.14971    6.11081    6.07577    6.04422
    6.01505    5.98718    5.96030    5.93419    5.90903    5.88494    5.86214
    5.84070    5.82071    5.80213    5.78499    5.76920    5.75474    5.74146
    5.72935    5.71828    5.70817    5.69895    5.69057    5.68288    5.67594
    5.66952    5.66371    5.65842    5.65352    5.64910    5.64505    5.64133
    5.63791    5.63480    5.63210    5.62924    5.62703    5.62477
 
    6.58529    6.53571    6.49387    6.45843    6.42820    6.40231    6.37999
    6.36069    6.34390    6.32926    6.31647    6.30524    6.29538    6.28667
    6.27897    6.27218    6.26616    6.26080    6.25603    6.25182    6.24803
    6.24467    6.24168    6.23899    6.23660    6.23445    6.23248    6.23078
    6.22920    6.22779    6.22653    6.22543    6.22437    6.22343    6.22265
    6.22192    6.22117    6.22055    6.21990    6.21929    6.21900
 
    6.82972    6.78005    6.73831    6.70310    6.67321    6.64769    6.62584
    6.60698    6.59068    6.57652    6.56420    6.55343    6.54402    6.53575
    6.52850    6.52208    6.51646    6.51147    6.50704    6.50315    6.49968
    6.49661    6.49386    6.49145    6.48928    6.48733    6.48560    6.48406
    6.48271    6.48145    6.48035    6.47934    6.47845    6.47765    6.47689
    6.47636    6.47570    6.47507    6.47463    6.47387    6.47386
 
    7.07249    7.02270    6.98106    6.94607    6.91651    6.89139    6.86996
    6.85156    6.83573    6.82203    6.81017    6.79988    6.79088    6.78303
    6.77615    6.77015    6.76486    6.76021    6.75611    6.75253    6.74934
    6.74652    6.74401    6.74182    6.73986    6.73814    6.73660    6.73521
    6.73403    6.73293    6.73193    6.73105    6.73031    6.72963    6.72894
    6.72844    6.72788    6.72744    6.72703    6.72658    6.72636
 
    7.31371    7.26380    7.22223    7.18749    7.15825    7.13354    7.11252
    7.09458    7.07919    7.06597    7.05455    7.04466    7.03609    7.02865
    7.02215    7.01649    7.01156    7.00723    7.00344    7.00009    6.99718
    6.99459    6.99235    6.99033    6.98859    6.98704    6.98567    6.98441
    6.98333    6.98238    6.98157    6.98080    6.98010    6.97953    6.97899
    6.97851    6.97811    6.97772    6.97732    6.97723    6.97675
 
    7.55353    7.50348    7.46200    7.42750    7.39860    7.37428    7.35368
    7.33619    7.32126    7.30846    7.29749    7.28801    7.27985    7.27279
    7.26667    7.26133    7.25671    7.25267    7.24917    7.24609    7.24342
    7.24105    7.23902    7.23722    7.23563    7.23424    7.23302    7.23190
    7.23097    7.23013    7.22935    7.22870    7.22812    7.22764    7.22716
    7.22676    7.22632    7.22597    7.22591    7.22572    7.22526
 
    7.79204    7.74187    7.70052    7.66625    7.63770    7.61376    7.59360
    7.57656    7.56206    7.54971    7.53916    7.53010    7.52233    7.51562
    7.50984    7.50485    7.50053    7.49678    7.49352    7.49069    7.48823
    7.48611    7.48423    7.48260    7.48118    7.47991    7.47883    7.47788
    7.47700    7.47625    7.47562    7.47506    7.47452    7.47407    7.47368
    7.47333    7.47310    7.47276    7.47237    7.47237    7.47209
 
    8.02941    7.97913    7.93789    7.90390    7.87571    7.85217    7.83246
    7.81585    7.80180    7.78989    7.77973    7.77107    7.76366    7.75731
    7.75188    7.74718    7.74314    7.73966    7.73667    7.73407    7.73181
    7.72984    7.72815    7.72668    7.72541    7.72430    7.72331    7.72245
    7.72169    7.72104    7.72047    7.71996    7.71955    7.71917    7.71881
    7.71848    7.71821    7.71808    7.71775    7.71756    7.71747
 
    8.26576    8.21540    8.17431    8.14059    8.11276    8.08965    8.07037
    8.05421    8.04059    8.02909    8.01936    8.01111    8.00405    7.99804
    7.99292    7.98851    7.98474    7.98153    7.97875    7.97634    7.97427
    7.97251    7.97096    7.96963    7.96848    7.96751    7.96663    7.96589
    7.96522    7.96467    7.96415    7.96370    7.96338    7.96300    7.96266
    7.96245    7.96223    7.96199    7.96187    7.96150    7.96156
 
    8.50119    8.45080    8.40987    8.37647    8.34902    8.32634    8.30751
    8.29179    8.27861    8.26754    8.25821    8.25031    8.24360    8.23793
    8.23310    8.22900    8.22547    8.22248    8.21992    8.21770    8.21583
    8.21422    8.21284    8.21162    8.21058    8.20969    8.20895    8.20827
    8.20768    8.20720    8.20675    8.20640    8.20608    8.20575    8.20553
    8.20530    8.20510    8.20499    8.20476    8.20468    8.20455
 
    8.73587    8.68545    8.64474    8.61166    8.58462    8.56238    8.54398
    8.52870    8.51596    8.50530    8.49636    8.48883    8.48247    8.47712
    8.47257    8.46872    8.46546    8.46269    8.46032    8.45828    8.45658
    8.45510    8.45383    8.45278    8.45186    8.45106    8.45035    8.44977
    8.44926    8.44883    8.44846    8.44811    8.44786    8.44756    8.44737
    8.44718    8.44699    8.44680    8.44665    8.44670    8.44657
 
    8.96992    8.91952    8.87903    8.84633    8.81972    8.79792    8.77998
    8.76517    8.75285    8.74261    8.73406    8.72691    8.72088    8.71583
    8.71159    8.70800    8.70498    8.70242    8.70026    8.69843    8.69688
    8.69558    8.69445    8.69353    8.69274    8.69206    8.69149    8.69101
    8.69065    8.69034    8.69009    8.68992    8.68975    8.68978    8.68976
    8.68991    8.69023    8.69087    8.68646    8.65319    8.63699
 
    9.20275    9.15228    9.11194    9.07947    9.05314    9.03166    9.01403
    8.99949    8.98743    8.97740    8.96900    8.96195    8.95604    8.95101
    8.94675    8.94311    8.93998    8.93724    8.93488    8.93277    8.93090
    8.92923    8.92764    8.92616    8.92473    8.92331    8.92189    8.92040
    8.91882    8.91705    8.91503    8.91271    8.90987    8.90636    8.90172
    8.89536    8.87814    8.85222    8.83502    8.84214    8.82068
 
    9.43509    9.38457    9.34439    9.31217    9.28614    9.26495    9.24761
    9.23333    9.22150    9.21164    9.20338    9.19645    9.19055    9.18553
    9.18122    9.17747    9.17420    9.17128    9.16863    9.16622    9.16396
    9.16182    9.15973    9.15760    9.15549    9.15324    9.15088    9.14826
    9.14531    9.14197    9.13810    9.13335    9.12757    9.12028    9.10391
    9.08967    9.08140    9.08259    9.09278    9.11252    9.14463
 
    9.66839    9.61816    9.57844    9.54677    9.52133    9.50079    9.48407
    9.47039    9.45915    9.44990    9.44222    9.43584    9.43050    9.42601
    9.42223    9.41903    9.41626    9.41390    9.41183    9.40999    9.40837
    9.40687    9.40548    9.40415    9.40285    9.40155    9.40024    9.39882
    9.39727    9.39560    9.39359    9.39129    9.38505    9.37804    9.38312
    9.39797    9.42342    9.46083    9.51131    9.57651    9.65780
 
    9.90387    9.85441    9.81566    9.78510    9.76083    9.74148    9.72600
    9.71360    9.70368    9.69573    9.68943    9.68446    9.68060    9.67764
    9.67548    9.67398    9.67304    9.67260    9.67262    9.67302    9.67384
    9.67505    9.67661    9.67858    9.68096    9.68388    9.68728    9.69133
    9.69618    9.70201    9.70380    9.71398    9.73504    9.76501    9.80741
    9.86366    9.93534   10.02399   10.13166   10.26098   10.41495
 
   10.14320   10.09536   10.05844   10.02984   10.00767    9.99052    9.97732
    9.96731    9.95987    9.95453    9.95096    9.94887    9.94804    9.94833
    9.94960    9.95176    9.95479    9.95863    9.96328    9.96877    9.97514
    9.98246    9.99079   10.00033   10.01122   10.02373   10.03812   10.05486
   10.07304   10.09206   10.12430   10.17258   10.23217   10.30741   10.40004
   10.51215   10.64609   10.80471   10.99167   11.21097   11.46882
 
   10.38724   10.34204   10.30797   10.28242   10.26346   10.24968   10.24003
   10.23375   10.23022   10.22904   10.22985   10.23242   10.23653   10.24212
   10.24905   10.25732   10.26693   10.27792   10.29034   10.30430   10.31998
   10.33758   10.35732   10.37961   10.40483   10.43355   10.46649   10.50101
   10.54576   10.60863   10.68253   10.77589   10.88798   11.02156   11.17942
   11.36453   11.58098   11.83366   12.12872   12.47481   12.88188
 
   10.63678   10.59534   10.56530   10.54400   10.52955   10.52052   10.51588
   10.51488   10.51696   10.52170   10.52879   10.53806   10.54935   10.56257
   10.57775   10.59493   10.61412   10.63552   10.65926   10.68567   10.71500
   10.74767   10.78419   10.82518   10.87146   10.92284   10.98070   11.05424
   11.14316   11.25234   11.37870   11.53021   11.70758   11.91419   12.15434
   12.43305   12.75710   13.13488   13.57760   14.10045   14.72448
 
   10.89191   10.85537   10.83054   10.81476   10.80613   10.80324   10.80507
   10.81095   10.82031   10.83278   10.84813   10.86618   10.88688   10.91020
   10.93622   10.96510   10.99696   11.03213   11.07090   11.11375   11.16117
   11.21380   11.27250   11.33827   11.41064   11.49411   11.59482   11.71462
   11.85580   12.02077   12.21249   12.43451   12.69105   12.98727   13.32962
   13.72660   14.18896   14.73114   15.37342   16.14406   17.08433
 
   11.15275   11.12230   11.10388   11.09487   11.09338   11.09805   11.10792
   11.12227   11.14063   11.16269   11.18826   11.21722   11.24961   11.28551
   11.32506   11.36851   11.41622   11.46855   11.52608   11.58945   11.65944
   11.73702   11.82345   11.91845   12.02702   12.15519   12.30492   12.47869
   12.67931   12.91034   13.17579   13.48069   13.83116   14.23490   14.70207
   15.24564   15.88329   16.63935   17.54871   18.66307   20.06472
 
   11.41896   11.39567   11.38480   11.38376   11.39069   11.40425   11.42352
   11.44788   11.47688   11.51027   11.54792   11.58980   11.63603   11.68680
   11.74238   11.80315   11.86959   11.94234   12.02212   12.10983   12.20660
   12.31383   12.43036   12.56508   12.71802   12.89618   13.10078   13.33506
   13.60283   13.90872   14.25842   14.65879   15.11872   15.64956   16.26606
   16.98853   17.84447   18.87375   20.13557   21.72314   23.79557
 
   11.68981   11.67465   11.67231   11.68025   11.69667   11.72028   11.75020
   11.78587   11.82691   11.87310   11.92444   11.98099   12.04293   12.11056
   12.18434   12.26475   12.35249   12.44840   12.55342   12.66881   12.79605
   12.93521   13.09137   13.27023   13.47600   13.70885   13.97368   14.27464
   14.61670   15.00607   15.45028   15.95882   16.54406   17.22209   18.01457
   18.95106   20.07404   21.44623   23.16586   25.39719   28.44136
 
   11.96511   11.95895   11.96607   11.98396   12.01088   12.04561   12.08735
   12.13556   12.18995   12.25038   12.31692   12.38974   12.46914   12.55554
   12.64955   12.75181   12.86326   12.98492   13.11807   13.26427   13.42440
   13.60142   13.80295   14.03023   14.28931   14.58103   14.91084   15.28406
   15.70707   16.18787   16.73642   17.36550   18.09174   18.93727   19.93258
   21.12026   22.56306   24.35696   26.65952   33.35621   34.19335
 
   12.24415   12.24778   12.26511   12.29377   12.33207   12.37886   12.43338
   12.49516   12.56400   12.63987   12.72289   12.81336   12.91169   13.01845
   13.13440   13.26038   13.39753   13.54715   13.71085   13.89029   14.08599
   14.30728   14.55567   14.83451   15.14966   15.50395   15.90303   16.35351
   16.86353   17.44315   18.10524   18.86647   19.74868   20.78173   22.00684
   23.48362   25.30171   27.60373   30.63344   39.22052   41.29415
 
   12.52631   12.54034   12.56856   12.60866   12.65904   12.71862   12.78671
   12.86294   12.94716   13.03944   13.13998   13.24920   13.36768   13.49611
   13.63540   13.78662   13.95116   14.13054   14.32671   14.53987   14.77772
   15.04410   15.34226   15.67610   16.05015   16.46991   16.94182   17.47398
   18.07641   18.76157   19.54565   20.44982   21.50217   22.74154   24.22271
   26.02636   28.27660   31.17818   35.09645   45.68807   50.04188
 
   12.81114   12.83613   12.87576   12.92787   12.99093   13.06394   13.14627
   13.23766   13.33801   13.44751   13.56648   13.69541   13.83503   13.98621
   14.15004   14.32782   14.52109   14.73178   14.96076   15.21351   15.49479
   15.80818   16.15758   16.54742   16.98309   17.47098   18.01897   18.63665
   19.33615   20.13274   21.04635   22.10314   23.33857   24.80189   26.56387
   28.73044   31.46912   35.06389   40.04534   52.72721   60.79661
 
   13.09835   13.13474   13.18628   13.25090   13.32715   13.41415   13.51134
   13.61849   13.73565   13.86308   14.00120   14.15067   14.31235   14.48723
   14.67665   14.88205   15.10531   15.34752   15.61207   15.90548   16.23153
   16.59315   16.99508   17.44244   17.94153   18.49980   19.12646   19.83287
   20.63347   21.54658   22.59620   23.81423   25.24419   26.94722   29.01251
   31.57575   34.85651   39.23763   42.48723   47.65689   73.99121
 
   13.39643   13.44444   13.50809   13.58544   13.67517   13.77646   13.88882
   14.01215   14.14657   14.29244   14.45028   14.62092   14.80530   15.00462
   15.22038   15.45430   15.70848   15.98363   16.28776   16.62293   16.99222
   17.40295   17.85844   18.36467   18.92868   19.55920   20.26687   21.06496
   21.97036   23.00469   24.19639   25.58364   27.21889   29.17657   31.56672
   34.55943   38.43504   43.69607   47.04601   54.85282   90.23640
 
 
 Brems sampling tbl at low E for large Eg
  100.01646  101.15669   98.80048   98.11485   95.93590   91.31770   84.73017
   77.30760   69.41009   61.96196   55.38233   49.62831   44.62773   40.30693
   36.57696   33.34375   30.54268   28.11201   25.99710   24.14785   22.52112
   21.09008   19.82455   18.69732   17.69215   16.79002   15.97613   15.23874
   14.56616   13.95009   13.38253   12.85793   12.36996   11.91500   11.48950
   11.08991   10.71346   10.35812   10.02136    9.70147    9.39733
 
  110.24669  110.47344  108.86899  107.87597  104.25548   97.74457   88.83209
   79.43973   70.43427   62.34810   55.27581   49.22893   44.07559   39.66585
   35.89822   32.67283   29.90162   27.51040   25.44197   23.64053   22.06828
   20.68595   19.46558   18.38465   17.42047   16.55843   15.78294   15.08090
   14.44217   13.85716   13.31896   12.82120   12.35859   11.92697   11.52293
   11.14312   10.78493   10.44586   10.12403    9.81789    9.52624
 
  120.15633  119.76934  118.92070  117.13298  111.45134  102.27878   91.39958
   80.39803   70.46634   61.80045   54.42505   48.25600   43.05141   38.64597
   34.93131   31.76956   29.07633   26.76521   24.76907   23.04188   21.53551
   20.21815   19.05540   18.02704   17.11477   16.29748   15.56469   14.90197
   14.29943   13.74859   13.24198   12.77326   12.33761   11.93099   11.54963
   11.19071   10.85185   10.53028   10.22459    9.93299    9.65427
 
  129.93563  129.04621  128.76641  125.84713  117.52095  105.53932   92.43172
   80.34793   69.70195   60.62400   53.11288   46.90602   41.73547   37.40924
   33.78841   30.73743   28.14225   25.92702   24.02397   22.37636   20.94913
   19.69984   18.60158   17.63127   16.77238   16.00508   15.31610   14.69568
   14.13202   13.61719   13.14369   12.70565   12.29837   11.91798   11.56093
   11.22436   10.90569   10.60290   10.31413   10.03784    9.77317
 
  139.64322  138.30596  138.59656  133.94331  122.34488  107.52694   92.53270
   79.29296   68.14559   59.00448   51.46379   45.29345   40.22996   36.03160
   32.53813   29.60534   27.12898   25.01996   23.21844   21.66407   20.31507
   19.14097   18.10889   17.20165   16.39729   15.68104   15.04053   14.46317
   13.93973   13.46205   13.02336   12.61743   12.24003   11.88719   11.55533
   11.24218   10.94538   10.66223   10.39143   10.13166    9.88178
 
  148.91290  147.55050  147.65196  140.78327  125.59028  107.61855   91.40412
   77.40008   66.18583   57.00685   49.56187   43.53190   38.61669   34.57374
   31.22666   28.44187   26.10331   24.11264   22.41632   20.95748   19.69637
   18.59691   17.63619   16.79043   16.04204   15.37895   14.78495   14.25193
   13.76956   13.33001   12.92652   12.55332   12.20576   11.88075   11.57443
   11.28462   11.00881   10.74493   10.49173   10.24751   10.01159
 
  158.11896  156.78168  156.50345  146.81798  127.68621  107.06520   89.35077
   75.16335   63.73079   54.69540   47.41102   41.59773   36.87963   33.03873
   29.88864   27.27389   25.07377   23.21708   21.63155   20.26815   19.09171
   18.06437   17.16711   16.38035   15.68458   15.06957   14.52370   14.03429
   13.59418   13.19449   12.82832   12.49030   12.17588   11.88076   11.60211
   11.33711   11.08352   10.83969   10.60386   10.37514   10.15298
 
  167.06857  166.00123  164.77178  151.14583  128.18177  105.87031   86.98012
   72.42310   61.07232   52.19396   45.17316   39.60287   35.11821   31.49968
   28.53673   26.08697   24.04199   22.31457   20.84512   19.58066   18.48844
   17.53972   16.71233   15.98564   15.34593   14.78260   14.28189   13.83655
   13.43671   13.07442   12.74315   12.43797   12.15352   11.88618   11.63291
   11.39130   11.15874   10.93375   10.71494   10.50146   10.29250
 
  175.82760  175.21070  172.45793  154.10584  127.48349  103.41115   83.99327
   69.50931   58.21339   49.62568   42.89039   37.60392   33.39232   29.98648
   27.22533   24.93919   23.04076   21.44134   20.08225   18.91568   17.90921
   17.03740   16.27632   15.61178   15.02796   14.51345   14.05992   13.65614
   13.29538   12.96984   12.67327   12.39978   12.14499   11.90523   11.67702
   11.45812   11.24613   11.03949   10.83694   10.63773   10.44149
 
  184.30767  184.41153  179.18195  155.69910  125.67669   99.68967   80.39273
   66.09753   55.34853   47.05283   40.64382   35.62966   31.68391   28.52845
   25.96591   23.84749   22.08967   20.61296   19.35961   18.28687   17.36533
   16.57143   15.88062   15.27722   14.74947   14.28476   13.87552   13.51084
   13.18614   12.89364   12.62833   12.38467   12.15771   11.94407   11.74004
   11.54273   11.35022   11.16088   10.97334   10.78711   10.60209
 
  200.11857  199.70279  187.99390  157.73449  122.69165   94.70779   74.36700
   60.06468   49.78983   42.25154   36.57346   32.18728   28.76045   26.01437
   23.78977   21.95011   20.42284   19.13763   18.04012   17.10548   16.29963
   15.60086   14.99465   14.46760   14.00671   13.60284   13.24742   12.93283
   12.65366   12.40295   12.17607   11.96832   11.77493   11.59247   11.41781
   11.24814   11.08093   10.91504   10.74931   10.58308   10.41628
 
  209.36106  208.89116  192.98740  156.56061  118.62535   90.34505   70.45208
   56.80738   47.01470   39.97531   34.68094   30.61943   27.41824   24.88075
   22.81601   21.10979   19.69344   18.50547   17.49195   16.62927   15.88759
   15.24987   14.69818   14.22108   13.80548   13.44372   13.12718   12.84940
   12.60372   12.38453   12.18647   12.00518   11.83621   11.67594   11.52086
   11.36867   11.21676   11.06436   10.90992   10.75328   10.59457
 
  218.38690  218.07395  196.83064  154.02348  113.88479   85.35145   66.53355
   53.54750   44.42980   37.81807   32.90629   29.13245   26.17199   23.81727
   21.90536   20.33386   19.02683   17.92313   16.99587   16.20210   15.52415
   14.94173   14.44358   14.01350   13.64198   13.32103   13.04317   12.79995
   12.58626   12.39656   12.22604   12.06954   11.92340   11.78324   11.64608
   11.50958   11.37153   11.23053   11.08604   10.93771   10.78565
 
  227.22424  224.20169  199.14304  150.23718  108.69798   80.98015   62.61247
   50.44930   41.93972   35.84032   31.24984   27.75371   25.02183   22.83808
   21.07888   19.62235   18.41047   17.40049   16.54385   15.82064   15.20382
   14.68082   14.23074   13.84803   13.51893   13.23717   12.99432   12.78451
   12.60140   12.43963   12.29432   12.16108   12.03570   11.91400   11.79298
   11.67048   11.54445   11.41357   11.27730   11.13554   10.98900
 
  235.89882  233.37557  200.11590  145.42881  103.23307   75.98029   58.99186
   47.51335   39.64086   33.92222   29.71178   26.48333   23.94863   21.94320
   20.30506   18.96722   17.85683   16.92756   16.14776   15.49126   14.93454
   14.46253   14.06336   13.72457   13.43627   13.19091   12.98174   12.80319
   12.64800   12.51238   12.39089   12.27887   12.17234   12.06705   11.96079
   11.85047   11.73449   11.61207   11.48257   11.34625   11.20368
 
  244.43377  239.49533  199.55918  139.86302   97.65801   71.60451   55.37005
   44.74004   37.43753   32.18407   28.29221   25.29429   22.97160   21.11859
   19.61533   18.37641   17.35955   16.51413   15.80349   15.21061   14.71082
   14.29125   13.93756   13.64143   13.39118   13.18103   13.00334   12.85419
   12.72582   12.61431   12.51431   12.42168   12.33196   12.24177   12.14793
   12.04814   11.94084   11.82502   11.70093   11.56860   11.42901
 
  252.84959  248.66314  197.47341  133.65368   92.06898   67.22742   52.04965
   42.29294   35.42584   30.56590   26.99118   24.21365   22.07152   20.36422
   18.97819   17.84983   16.92477   16.15513   15.51489   14.98181   14.53791
   14.16464   13.85705   13.59859   13.38367   13.20637   13.05923   12.93672
   12.83294   12.74338   12.66317   12.58795   12.51321   12.43612   12.35310
   12.26200   12.16188   12.05163   11.93131   11.80170   11.66374
 
  261.16424  254.77751  193.85909  127.10291   86.59776   63.47532   49.03088
   39.84560   33.60585   29.06778   25.76921   23.24138   21.26752   19.68002
   18.41450   17.38738   16.54616   15.85046   15.27788   14.80151   14.40771
   14.08263   13.81424   13.59444   13.41378   13.26702   13.14632   13.04883
   12.96747   12.89795   12.83569   12.77582   12.71474   12.64859   12.57492
   12.49136   12.39645   12.29030   12.17259   12.04444   11.90711
 
  269.39335  260.88984  189.09813  120.36200   81.29251   59.09679   46.01181
   37.72469   31.88173   27.74968   24.66577   22.35039   20.52121   19.07989
   17.92416   16.98896   16.22363   15.60003   15.09237   14.66964   14.32549
   14.04297   13.81290   13.62738   13.47739   13.35823   13.26372   13.18835
   13.12754   13.07641   13.02976   12.98407   12.93456   12.87827   12.81202
   12.73411   12.64356   12.53980   12.42355   12.29577   12.15813
 
  277.55037  263.94905  183.00021  113.54446   76.21318   55.96950   43.59671
   35.60376   30.25354   26.49164   23.68079   21.54063   19.85170   18.53582
   17.48618   16.64651   15.96328   15.40866   14.95434   14.58615   14.28590
   14.04341   13.84740   13.69426   13.57322   13.47893   13.40731   13.35338
   13.31129   13.27636   13.24434   13.21046   13.17126   13.12299   13.06293
   12.98941   12.90138   12.79886   12.68300   12.55460   12.41558
 
  285.64011  270.05829  176.13788  106.76367   71.38385   52.21619   40.87949
   33.80930   28.81709   25.35361   22.77480   20.78506   19.27806   18.07565
   17.12137   16.36790   15.75263   15.26154   14.86372   14.54131   14.28358
   14.07951   13.91779   13.79193   13.69719   13.62683   13.57732   13.54175
   13.51598   13.49616   13.47654   13.45339   13.42276   13.38082   13.32556
   13.25499   13.16848   13.06632   12.94955   12.81950   12.67833
 
  293.83200  273.11486  168.51145  100.24601   66.86433   49.08851   38.76628
   32.01490   27.57233   24.33555   21.94777   20.16462   18.76193   17.68535
   16.82966   16.14512   15.60403   15.17336   14.82447   14.54805   14.32924
   14.15581   14.02607   13.92700   13.85651   13.80709   13.77618   13.75817
   13.74769   13.74105   13.73272   13.71850   13.69475   13.65812   13.60603
   13.53677   13.45065   13.34740   13.22864   13.09602   12.95181
 
  301.99479  273.11885  160.50267   93.91631   62.64279   45.96077   36.65308
   30.54692   26.32767   23.43741   21.23905   19.59826   18.32240   17.35090
   16.59011   15.98607   15.51122   15.12937   14.82864   14.59346   14.40691
   14.26790   14.16287   14.08990   14.04010   14.01132   13.99764   13.99467
   13.99796   14.00258   14.00370   13.99732   13.97931   13.94618   13.89603
   13.82760   13.74036   13.63508   13.51357   13.37756   13.22959
 
  309.80711  273.12200  151.92098   87.85007   58.67161   43.45867   34.84185
   29.07900   25.27463   22.53938   20.56982   19.08594   17.95941   17.07228
   16.39227   15.86681   15.44319   15.11481   14.85650   14.65821   14.50595
   14.39124   14.31311   14.26120   14.23259   14.22111   14.22325   14.23377
   14.24926   14.26392   14.27356   14.27361   14.25983   14.22948   14.18062
   14.11150   14.02248   13.91488   13.78993   13.65028   13.49844
 
  317.01416  273.12449  143.14805   81.97203   54.92697   40.95658   33.03067
   27.77429   24.22170   21.76122   19.97943   18.62765   17.61558   16.83550
   16.22571   15.76347   15.39993   15.11495   14.89619   14.72941   14.60502
   14.51915   14.46161   14.42952   14.41843   14.42282   14.43867   14.46213
   14.48810   14.51187   14.52852   14.53371   14.52363   14.49522   14.44645
   14.37656   14.28581   14.17516   14.04684   13.90340   13.74762
 
  323.22602  267.02303  134.18400   76.35763   51.37314   38.45451   31.21957
   26.46967   23.26459   21.04302   19.38913   18.19639   17.29091   16.59874
   16.06956   15.66011   15.35045   15.10523   14.92399   14.78769   14.68807
   14.62471   14.58741   14.57357   14.57909   14.59638   14.62492   14.65964
   14.69436   14.72580   14.74859   14.75839   14.75140   14.72447   14.67601
   14.60527   14.51239   14.39942   14.26811   14.12134   13.96204
 
  328.23973  260.92109  125.21968   70.96925   47.99820   36.57805   29.40856
   25.32823   22.30759   20.32491   18.83828   17.76521   16.96629   16.36202
   15.90302   15.55675   15.28235   15.08075   14.92803   14.82009   14.74436
   14.70113   14.68282   14.68340   14.70158   14.73280   14.77169   14.81494
   14.85802   14.89595   14.92375   14.93736   14.93317   14.90746   14.85938
   14.78775   14.69386   14.57881   14.44515   14.29588   14.13396
 
  331.87966  254.81878  116.25518   65.80692   44.80218   34.07610   27.89948
   24.02381   21.44638   19.60690   18.32686   17.36105   16.66083   16.12534
   15.72608   15.42953   15.19566   15.02679   14.90437   14.81693   14.76317
   14.73714   14.73440   14.74905   14.77862   14.81932   14.86754   14.91859
   14.96810   15.01207   15.04469   15.06170   15.05961   15.03574   14.98816
   14.91686   14.82197   14.70587   14.57092   14.42007   14.25635
 
  334.12500  242.61269  107.48129   60.90836   41.77315   32.19973   26.39049
   22.88255   20.58527   18.94882   17.77618   16.95697   16.33634   15.87478
   15.53876   15.27846   15.08419   14.94335   14.84114   14.77820   14.74181
   14.73046   14.74018   14.76551   14.80577   14.85450   14.90997   14.96827
   15.02374   15.07197   15.10887   15.12922   15.12985   15.10765   15.06124
   14.99043   14.89589   14.77972   14.64428   14.49282   14.32846
 
  334.95107  233.45811   99.08880   56.31125   38.89919   30.32341   25.18337
   21.90442   19.72426   18.29083   17.26494   16.55297   16.01192   15.61036
   15.32027   15.09562   14.93558   14.82065   14.74234   14.69747   14.67494
   14.67660   14.69635   14.73275   14.78014   14.83698   14.89775   14.96130
   15.02151   15.07412   15.11437   15.13803   15.14099   15.12098   15.07671
   15.00712   14.91389   14.79856   14.66398   14.51294   14.34903
 
  334.44800  218.19982   91.07774   51.94024   36.20416   28.44714   23.67453
   20.76334   18.95901   17.69275   16.75378   16.12212   15.66850   15.33210
   15.07064   14.88900   14.75606   14.66365   14.60801   14.57479   14.56797
   14.58011   14.60867   14.65083   14.70464   14.76683   14.83315   14.90071
   14.96507   15.02101   15.06427   15.09102   15.09674   15.07959   15.03763
   14.97051   14.87934   14.76602   14.63316   14.48375   14.32126
 
  332.79610  205.99315   83.44814   47.90838   33.68804   26.57094   22.46754
   19.78537   18.19383   17.03495   16.28203   15.71828   15.32516   15.02610
   14.82110   14.66658   14.55187   14.48220   14.43821   14.41992   14.42366
   14.44334   14.47917   14.52807   14.58652   14.65296   14.72300   14.79420
   14.86101   14.91998   14.96659   14.99571   15.00466   14.99040   14.95135
   14.88749   14.79918   14.68857   14.55848   14.41183   14.25175
 
  330.06173  190.73460   76.39075   44.14032   31.32699   24.69482   21.26061
   18.97046   17.42875   16.49684   15.77106   15.31454   14.96284   14.72020
   14.54046   14.41248   14.32306   14.27146   14.24091   14.23294   14.24211
   14.26864   14.31179   14.36462   14.42740   14.49685   14.56982   14.64307
   14.71238   14.77393   14.82291   14.85515   14.86698   14.85596   14.82041
   14.75997   14.67560   14.56878   14.44225   14.29896   14.14215
 
  326.41471  178.52773   69.90557   40.67372   29.14484   23.44411   20.05374
   17.99264   16.75937   15.89901   15.29947   14.91088   14.60063   14.40049
   14.24955   14.14264   14.07583   14.03147   14.01617   14.01716   14.03411
   14.06511   14.11050   14.16724   14.23320   14.30502   14.37946   14.45469
   14.52599   14.58918   14.64039   14.67540   14.69059   14.68296   14.65137
   14.59539   14.51505   14.41286   14.29075   14.15167   13.99886
 
  322.01794  163.26904   63.80188   37.47091   27.10582   22.19344   18.84694
   17.17785   16.09005   15.36103   14.86726   14.50731   14.23851   14.06701
   13.94837   13.86501   13.81023   13.77700   13.76802   13.77589   13.79975
   13.83512   13.88496   13.94425   14.01124   14.08399   14.16002   14.23592
   14.30814   14.37290   14.42616   14.46365   14.48207   14.47846   14.45115
   14.39964   14.32429   14.22692   14.10972   13.97552   13.82743
 
  316.98928  151.06208   58.07967   34.53187   25.23377   20.31749   17.94189
   16.52606   15.51641   14.82313   14.39583   14.10383   13.89555   13.73364
   13.63696   13.57167   13.52629   13.50807   13.50437   13.51886   13.54713
   13.58547   13.63721   13.69749   13.76458   13.83899   13.91513   13.99109
   14.06425   14.13055   14.18540   14.22522   14.24659   14.24686   14.22411
   14.17740   14.10740   14.01538   13.90367   13.77498   13.63202
 
  311.41002  138.85508   52.92969   31.81894   23.49290   19.06690   17.03687
   15.71138   14.84723   14.34506   13.96377   13.70044   13.53364   13.40040
   13.32568   13.27059   13.23640   13.22472   13.22923   13.24612   13.27635
   13.31852   13.36929   13.43036   13.49907   13.57153   13.64839   13.72404
   13.79788   13.86469   13.92098   13.96291   13.98757   13.99156   13.97333
   13.93178   13.86724   13.78131   13.67545   13.55240   13.41522
 
   12.36762   13.73289   12.30243   12.37680   12.36871   12.18929   12.51238
   12.45324   12.36228   12.37359   12.39321   12.38333   12.41047   12.42913
   12.44451   12.46327   12.49719   12.52723   12.57014   12.61546   12.66741
   12.72869   12.79415   12.86790   12.94568   13.02764   13.11329   13.20013
   13.28372   13.36231   13.43222   13.48892   13.52977   13.55115   13.55125
   13.52867   13.48307   13.41569   13.32791   13.22195   13.10055
 
 
  constant for Brems sampling table at high energies
   6.38481205758033D-004   63.8481205758033        1.80514811795698               50   2.50000000000000D-002  0.100000000000000        5071636.49074409        2.50000000000000D-002  0.200000000000000        1.00000000000000               33   0.00000000000000D+000  0.668740304976422               21          20   3.34370152488211D-002          50   7.50000000000000D-002   302098.186327657        4.00000000000000
 
 Al      
 Brems total X-sec. table with C.S+LPM upto E=   5071636.49074410       GeV
   63.84812       12.18349    
   80.38002       11.87545    
   101.1925       11.67512    
   127.3937       11.45393    
   160.3792       11.21649    
   201.9055       10.96456    
   254.1839       10.70323    
   319.9986       10.43171    
   402.8544       10.15256    
   507.1636       9.868794    
   638.4812       9.579749    
   803.8002       9.288308    
   1011.924       8.992402    
   1273.938       8.696009    
   1603.792       8.397027    
   2019.055       8.097519    
   2541.839       7.796880    
   3199.986       7.496298    
   4028.544       7.196739    
   5071.637       6.897750    
   6384.812       6.599915    
   8038.002       6.303781    
   10119.25       6.009902    
   12739.38       5.718855    
   16037.92       5.431975    
   20190.55       5.148444    
   25418.39       4.869649    
   31999.86       4.596261    
   40285.44       4.328960    
   50716.36       4.068413    
   63848.12       3.815257    
   80380.02       3.570020    
   101192.5       3.333139    
   127393.8       3.105134    
   160379.2       2.886466    
   201905.5       2.677402    
   254184.0       2.478204    
   319998.6       2.289046    
   402854.4       2.110084    
   507163.7       1.941227    
   638481.2       1.782507    
   803800.2       1.633720    
   1011924.       1.494743    
   1273938.       1.365244    
   1603792.       1.245009    
   2019055.       1.133635    
   2541840.       1.030740    
   3199986.      0.9359041    
   4028544.      0.8487510    
   5071636.      0.7688078    
 
 Brems with LPM sampling tbl for small Eg
    0.37523    0.34152    0.31180    0.28542    0.26189    0.24082    0.22189
    0.20485    0.18948    0.17561    0.16308    0.15172    0.14151    0.13241
    0.12425    0.11697    0.11044    0.10455    0.09923    0.09440    0.09001
    0.08601    0.08234    0.07896    0.07584    0.07296    0.07026    0.06774
    0.06536    0.06309    0.06089    0.04273    0.05642
 
    0.38241    0.34857    0.31872    0.29221    0.26855    0.24734    0.22828
    0.21110    0.19560    0.18159    0.16894    0.15743    0.14714    0.13796
    0.12979    0.12242    0.11579    0.10980    0.10437    0.09944    0.09494
    0.09082    0.08704    0.08355    0.08033    0.07733    0.07453    0.07190
    0.06941    0.06702    0.06470    0.04470    0.05986
 
    0.38869    0.35489    0.32506    0.29854    0.27485    0.25359    0.23447
    0.21723    0.20165    0.18757    0.17477    0.16326    0.15293    0.14375
    0.13545    0.12802    0.12130    0.11522    0.10969    0.10466    0.10006
    0.09584    0.09195    0.08836    0.08503    0.08192    0.07901    0.07627
    0.07367    0.07116    0.06871    0.04664    0.06348
 
    0.39523    0.36149    0.33168    0.30516    0.28144    0.26015    0.24097
    0.22367    0.20803    0.19387    0.18096    0.16945    0.15912    0.14983
    0.14151    0.13399    0.12719    0.12101    0.11538    0.11024    0.10553
    0.10119    0.09720    0.09349    0.09005    0.08683    0.08381    0.08095
    0.07822    0.07560    0.07301    0.04852    0.06733
 
    0.40205    0.36838    0.33860    0.31209    0.28836    0.26704    0.24782
    0.23046    0.21475    0.20047    0.18756    0.17602    0.16566    0.15634
    0.14793    0.14033    0.13343    0.12715    0.12141    0.11616    0.11134
    0.10689    0.10277    0.09895    0.09539    0.09205    0.08891    0.08593
    0.08308    0.08032    0.07759    0.05035    0.07142
 
    0.40916    0.37556    0.34583    0.31933    0.29560    0.27426    0.25500
    0.23760    0.22184    0.20740    0.19453    0.18297    0.17257    0.16320
    0.15472    0.14702    0.14002    0.13364    0.12780    0.12243    0.11749
    0.11292    0.10869    0.10475    0.10106    0.09761    0.09434    0.09123
    0.08825    0.08535    0.08246    0.05211    0.07575
 
    0.41649    0.38299    0.35331    0.32684    0.30312    0.28176    0.26248
    0.24504    0.22915    0.21473    0.20192    0.19034    0.17990    0.17046
    0.16190    0.15412    0.14702    0.14052    0.13457    0.12908    0.12402
    0.11933    0.11497    0.11091    0.10710    0.10351    0.10011    0.09688
    0.09376    0.09071    0.08766    0.05380    0.08035
 
    0.42409    0.39068    0.36107    0.33465    0.31094    0.28959    0.27029
    0.25282    0.23689    0.22248    0.20969    0.19809    0.18761    0.17810
    0.16947    0.16159    0.15439    0.14778    0.14171    0.13611    0.13092
    0.12611    0.12162    0.11742    0.11349    0.10977    0.10624    0.10287
    0.09961    0.09641    0.09318    0.11070    0.08521
 
    0.43193    0.39864    0.36912    0.34275    0.31907    0.29772    0.27842
    0.26083    0.24492    0.23063    0.21785    0.20624    0.19571    0.18614
    0.17742    0.16945    0.16215    0.15543    0.14924    0.14352    0.13821
    0.13326    0.12865    0.12432    0.12025    0.11639    0.11273    0.10921
    0.10581    0.10245    0.09904    0.11253    0.09035
 
    0.44006    0.40691    0.37748    0.35118    0.32755    0.30623    0.28693
    0.26928    0.25350    0.23925    0.22634    0.21473    0.20417    0.19454
    0.18574    0.17768    0.17028    0.16345    0.15715    0.15130    0.14586
    0.14079    0.13604    0.13158    0.12737    0.12338    0.11958    0.11592
    0.11236    0.10884    0.10524    0.11425    0.09577
 
    0.44838    0.41538    0.38606    0.35984    0.33626    0.31498    0.29563
    0.27808    0.26235    0.24813    0.23533    0.22370    0.21309    0.20340
    0.19452    0.18637    0.17886    0.17192    0.16549    0.15952    0.15395
    0.14875    0.14386    0.13927    0.13492    0.13079    0.12684    0.12303
    0.11931    0.11562    0.11183    0.11584    0.10149
 
    0.45697    0.42413    0.39494    0.36882    0.34532    0.32409    0.30471
    0.28736    0.27169    0.25751    0.24470    0.23305    0.22239    0.21264
    0.20369    0.19544    0.18783    0.18078    0.17423    0.16813    0.16244
    0.15710    0.15209    0.14735    0.14286    0.13859    0.13449    0.13053
    0.12665    0.12279    0.11879    0.11733    0.10752
 
    0.46581    0.43316    0.40412    0.37811    0.35470    0.33342    0.31423
    0.29698    0.28141    0.26731    0.25449    0.24280    0.23211    0.22230
    0.21326    0.20493    0.19722    0.19006    0.18339    0.17717    0.17135
    0.16588    0.16073    0.15585    0.15122    0.14680    0.14255    0.13844
    0.13440    0.13035    0.12614    0.11872    0.11386
 
    0.47488    0.44243    0.41355    0.38767    0.36437    0.34318    0.32417
    0.30705    0.29157    0.27752    0.26471    0.25301    0.24228    0.23240
    0.22330    0.21487    0.20706    0.19979    0.19301    0.18666    0.18071
    0.17511    0.16982    0.16480    0.16003    0.15546    0.15106    0.14678
    0.14257    0.13834    0.13391    0.12000    0.12053
 
    0.48426    0.45203    0.42334    0.39761    0.37433    0.35342    0.33441
    0.31743    0.30205    0.28805    0.27527    0.26356    0.25280    0.24287
    0.23370    0.22519    0.21728    0.20991    0.20301    0.19655    0.19047
    0.18474    0.17931    0.17416    0.16924    0.16452    0.15997    0.15553
    0.15115    0.14673    0.14208    0.12119    0.12752
 
    0.49384    0.46186    0.43336    0.40777    0.38467    0.36396    0.34518
    0.32834    0.31304    0.29910    0.28633    0.27461    0.26382    0.25384
    0.24460    0.23600    0.22800    0.22052    0.21351    0.20692    0.20072
    0.19485    0.18929    0.18400    0.17893    0.17407    0.16936    0.16475
    0.16019    0.15558    0.15070    0.14504    0.13487
 
    0.50368    0.47196    0.44369    0.41818    0.39524    0.37494    0.35637
    0.33966    0.32446    0.31056    0.29782    0.28610    0.27527    0.26524
    0.25593    0.24726    0.23916    0.23158    0.22446    0.21776    0.21143
    0.20543    0.19973    0.19430    0.18909    0.18407    0.17920    0.17443
    0.16970    0.16488    0.15977    0.15378    0.14257
 
    0.51378    0.48235    0.45417    0.42894    0.40643    0.38634    0.36798
    0.35142    0.33631    0.32247    0.30975    0.29802    0.28716    0.27709
    0.26772    0.25897    0.25078    0.24310    0.23587    0.22905    0.22260
    0.21647    0.21064    0.20507    0.19971    0.19454    0.18952    0.18458
    0.17967    0.17465    0.16929    0.16296    0.15063
 
    0.52416    0.49304    0.46504    0.44028    0.41806    0.39802    0.38002
    0.36360    0.34858    0.33480    0.32211    0.31038    0.29950    0.28939
    0.27996    0.27114    0.26286    0.25509    0.24775    0.24082    0.23424
    0.22799    0.22203    0.21631    0.21082    0.20550    0.20031    0.19521
    0.19011    0.18488    0.17928    0.17260    0.15905
 
    0.53485    0.50394    0.47639    0.45197    0.43004    0.41038    0.39254
    0.37613    0.36121    0.34749    0.33483    0.32311    0.31222    0.30207
    0.29259    0.28370    0.27536    0.26749    0.26005    0.25302    0.24633
    0.23995    0.23386    0.22801    0.22237    0.21690    0.21156    0.20629
    0.20101    0.19557    0.18972    0.18269    0.16783
 
    0.54575    0.51511    0.48814    0.46407    0.44244    0.42300    0.40532
    0.38918    0.37436    0.36070    0.34808    0.33636    0.32546    0.31527
    0.30574    0.29679    0.28836    0.28041    0.27288    0.26573    0.25893
    0.25244    0.24621    0.24023    0.23445    0.22883    0.22333    0.21789
    0.21242    0.20678    0.20067    0.19327    0.17700
 
    0.55683    0.52680    0.50024    0.47659    0.45533    0.43610    0.41859
    0.40257    0.38785    0.37426    0.36168    0.34998    0.33906    0.32886
    0.31928    0.31027    0.30178    0.29374    0.28612    0.27888    0.27197
    0.26536    0.25902    0.25290    0.24699    0.24122    0.23557    0.22996
    0.22430    0.21845    0.21208    0.20431    0.18652
 
    0.56828    0.53886    0.51280    0.48952    0.46856    0.44956    0.43223
    0.41636    0.40174    0.38822    0.37568    0.36400    0.35309    0.34286
    0.33325    0.32419    0.31563    0.30752    0.29982    0.29248    0.28547
    0.27875    0.27229    0.26605    0.26000    0.25409    0.24828    0.24251
    0.23667    0.23060    0.22398    0.21581    0.19642
 
    0.58020    0.55137    0.52578    0.50287    0.48220    0.46344    0.44630
    0.43057    0.41605    0.40261    0.39012    0.37846    0.36755    0.35731
    0.34767    0.33856    0.32994    0.32176    0.31398    0.30655    0.29944
    0.29262    0.28604    0.27968    0.27350    0.26746    0.26150    0.25556
    0.24953    0.24325    0.23636    0.22781    0.20670
 
    0.59246    0.56422    0.53910    0.51656    0.49619    0.47766    0.46071
    0.44512    0.43072    0.41736    0.40492    0.39329    0.38239    0.37214
    0.36247    0.35333    0.34466    0.33642    0.32857    0.32106    0.31385
    0.30693    0.30025    0.29377    0.28746    0.28128    0.27518    0.26907
    0.26287    0.25638    0.24922    0.24027    0.21745
 
    0.60534    0.57740    0.55274    0.53058    0.51051    0.49223    0.47547
    0.46003    0.44574    0.43246    0.42008    0.40849    0.39761    0.38735
    0.37767    0.36850    0.35978    0.35149    0.34357    0.33598    0.32870
    0.32168    0.31489    0.30831    0.30188    0.29557    0.28932    0.28306
    0.27667    0.26997    0.26254    0.25320    0.22961
 
    0.61822    0.59119    0.56697    0.54516    0.52537    0.50731    0.49073
    0.47543    0.46125    0.44805    0.43572    0.42417    0.41330    0.40305
    0.39335    0.38415    0.37539    0.36704    0.35906    0.35140    0.34404
    0.33693    0.33005    0.32335    0.31680    0.31036    0.30397    0.29756
    0.29099    0.28408    0.27639    0.26664    0.24227
 
    0.63146    0.60505    0.58129    0.55985    0.54036    0.52254    0.50615
    0.49100    0.47695    0.46384    0.45159    0.44007    0.42923    0.41899
    0.40929    0.40007    0.39129    0.38290    0.37486    0.36715    0.35971
    0.35252    0.34555    0.33875    0.33210    0.32554    0.31902    0.31245
    0.30571    0.29859    0.29063    0.28049    0.25534
 
    0.64530    0.61917    0.59589    0.57481    0.55562    0.53804    0.52185
    0.50687    0.49294    0.47993    0.46774    0.45629    0.44548    0.43526
    0.42556    0.41633    0.40753    0.39911    0.39103    0.38325    0.37576
    0.36850    0.36144    0.35456    0.34780    0.34113    0.33448    0.32776
    0.32086    0.31354    0.30532    0.29477    0.26885
 
    0.65909    0.63377    0.61094    0.59022    0.57131    0.55397    0.53797
    0.52313    0.50933    0.49642    0.48430    0.47290    0.46213    0.45193
    0.44223    0.43300    0.42418    0.41573    0.40761    0.39979    0.39223
    0.38491    0.37778    0.37081    0.36395    0.35717    0.35039    0.34354
    0.33647    0.32895    0.32047    0.30953    0.28284
 
    0.67313    0.64841    0.62606    0.60571    0.58711    0.57001    0.55421
    0.53954    0.52586    0.51306    0.50103    0.48969    0.47896    0.46879
    0.45912    0.44989    0.44106    0.43259    0.42444    0.41659    0.40898
    0.40160    0.39440    0.38735    0.38041    0.37353    0.36664    0.35965
    0.35243    0.34471    0.33598    0.32463    0.29720
 
    0.68765    0.66323    0.64136    0.62139    0.60310    0.58624    0.57064
    0.55614    0.54260    0.52991    0.51797    0.50670    0.49603    0.48590
    0.47625    0.46703    0.45820    0.44972    0.44156    0.43367    0.42603
    0.41860    0.41134    0.40422    0.39720    0.39023    0.38323    0.37611
    0.36874    0.36083    0.35185    0.34012    0.31195
 
    0.70203    0.67843    0.65699    0.63740    0.61939    0.60279    0.58739
    0.57305    0.55964    0.54706    0.53521    0.52401    0.51340    0.50331
    0.49368    0.48448    0.47566    0.46718    0.45900    0.45108    0.44341
    0.43593    0.42862    0.42145    0.41435    0.40729    0.40019    0.39296
    0.38543    0.37735    0.36811    0.35599    0.32712
 
    0.71677    0.69357    0.67261    0.65341    0.63572    0.61936    0.60417
    0.59001    0.57675    0.56429    0.55253    0.54142    0.53087    0.52083
    0.51124    0.50206    0.49326    0.48478    0.47659    0.46867    0.46097
    0.45346    0.44611    0.43888    0.43172    0.42458    0.41739    0.41005
    0.40238    0.39413    0.38465    0.37214    0.34260
 
    0.73143    0.70900    0.68848    0.66950    0.65214    0.63604    0.62106
    0.60708    0.59396    0.58163    0.56998    0.55895    0.54847    0.53848
    0.52894    0.51980    0.51101    0.50255    0.49437    0.48644    0.47872
    0.47119    0.46380    0.45653    0.44932    0.44211    0.43483    0.42738
    0.41960    0.41117    0.40146    0.38858    0.35840
 
    0.74608    0.72426    0.70424    0.68580    0.66875    0.65291    0.63815
    0.62434    0.61137    0.59916    0.58762    0.57667    0.56626    0.55634
    0.54685    0.53774    0.52898    0.52053    0.51236    0.50443    0.49670
    0.48915    0.48174    0.47443    0.46716    0.45989    0.45254    0.44500
    0.43709    0.42850    0.41856    0.40531    0.37453
 
    0.76093    0.73971    0.72004    0.70200    0.68528    0.66971    0.65517
    0.64155    0.62874    0.61666    0.60523    0.59438    0.58405    0.57419
    0.56476    0.55569    0.54697    0.53855    0.53039    0.52247    0.51475
    0.50719    0.49976    0.49241    0.48511    0.47779    0.47037    0.46274
    0.45472    0.44598    0.43583    0.42221    0.39089
 
    0.77556    0.75498    0.73595    0.71830    0.70190    0.68660    0.67228
    0.65885    0.64620    0.63425    0.62293    0.61218    0.60193    0.59215
    0.58276    0.57375    0.56507    0.55668    0.54855    0.54063    0.53292
    0.52536    0.51792    0.51055    0.50322    0.49585    0.48837    0.48066
    0.47253    0.46365    0.45329    0.43932    0.40751
 
    0.79015    0.77022    0.75170    0.73446    0.71840    0.70338    0.68930
    0.67605    0.66357    0.65176    0.64056    0.62991    0.61975    0.61004
    0.60073    0.59177    0.58314    0.57478    0.56668    0.55879    0.55109
    0.54353    0.53609    0.52871    0.52135    0.51395    0.50642    0.49864
    0.49042    0.48140    0.47084    0.45653    0.42429
 
    0.80473    0.78544    0.76735    0.75054    0.73482    0.72008    0.70623
    0.69319    0.68088    0.66921    0.65814    0.64759    0.63753    0.62790
    0.61865    0.60976    0.60117    0.59287    0.58480    0.57694    0.56925
    0.56171    0.55427    0.54689    0.53952    0.53209    0.52452    0.51667
    0.50836    0.49922    0.48847    0.47383    0.44122
 
    0.81904    0.80043    0.78296    0.76658    0.75120    0.73669    0.72308
    0.71024    0.69809    0.68657    0.67563    0.66519    0.65523    0.64568
    0.63651    0.62768    0.61915    0.61089    0.60286    0.59504    0.58738
    0.57986    0.57243    0.56505    0.55766    0.55022    0.54261    0.53471
    0.52632    0.51706    0.50614    0.49119    0.45827
 
    0.83314    0.81521    0.79829    0.78235    0.76733    0.75317    0.73980
    0.72716    0.71520    0.70383    0.69301    0.68269    0.67282    0.66336
    0.65427    0.64550    0.63703    0.62882    0.62084    0.61306    0.60543
    0.59793    0.59052    0.58314    0.57576    0.56830    0.56066    0.55273
    0.54426    0.53490    0.52381    0.50855    0.47541
 
    0.84702    0.82979    0.81343    0.79794    0.78329    0.76943    0.75632
    0.74389    0.73210    0.72088    0.71020    0.69999    0.69023    0.68086
    0.67184    0.66315    0.65474    0.64659    0.63866    0.63092    0.62333
    0.61586    0.60847    0.60111    0.59374    0.58627    0.57861    0.57064
    0.56211    0.55265    0.54140    0.52586    0.49257
 
    0.86064    0.84412    0.82833    0.81331    0.79903    0.78548    0.77262
    0.76041    0.74879    0.73774    0.72718    0.71710    0.70744    0.69816
    0.68923    0.68061    0.67227    0.66418    0.65630    0.64861    0.64106
    0.63362    0.62626    0.61892    0.61156    0.60409    0.59643    0.58842
    0.57984    0.57029    0.55890    0.54309    0.50972
 
    0.87392    0.85813    0.84292    0.82836    0.81447    0.80124    0.78863
    0.77664    0.76521    0.75431    0.74390    0.73394    0.72438    0.71520
    0.70635    0.69781    0.68955    0.68152    0.67370    0.66605    0.65855
    0.65115    0.64382    0.63651    0.62916    0.62170    0.61403    0.60600
    0.59739    0.58776    0.57623    0.56017    0.52681
 
    0.88688    0.87182    0.85720    0.84312    0.82962    0.81670    0.80437
    0.79260    0.78135    0.77061    0.76034    0.75050    0.74105    0.73197
    0.72321    0.71475    0.70655    0.69859    0.69083    0.68324    0.67579
    0.66843    0.66114    0.65386    0.64654    0.63909    0.63142    0.62337
    0.61472    0.60503    0.59337    0.57708    0.54381
 
    0.89946    0.88513    0.87112    0.85752    0.84442    0.83183    0.81977
    0.80822    0.79717    0.78659    0.77646    0.76674    0.75740    0.74842
    0.73975    0.73137    0.72325    0.71535    0.70765    0.70012    0.69272
    0.68541    0.67816    0.67092    0.66362    0.65619    0.64853    0.64048
    0.63179    0.62204    0.61028    0.59377    0.56068
 
    0.91168    0.89810    0.88469    0.87159    0.85888    0.84663    0.83483
    0.82351    0.81266    0.80224    0.79225    0.78265    0.77343    0.76454
    0.75596    0.74766    0.73961    0.73179    0.72416    0.71668    0.70934
    0.70208    0.69487    0.68767    0.68040    0.67300    0.66534    0.65729
    0.64859    0.63878    0.62692    0.61021    0.57739
 
    0.92347    0.91062    0.89783    0.88522    0.87293    0.86100    0.84948
    0.83839    0.82773    0.81748    0.80763    0.79816    0.78904    0.78026
    0.77177    0.76355    0.75558    0.74783    0.74026    0.73285    0.72556
    0.71835    0.71119    0.70403    0.69680    0.68942    0.68179    0.67374
    0.66503    0.65518    0.64323    0.62634    0.59387
 
    0.93485    0.92275    0.91056    0.89846    0.88656    0.87498    0.86374
    0.85288    0.84241    0.83233    0.82262    0.81328    0.80427    0.79558
    0.78719    0.77905    0.77116    0.76348    0.75598    0.74863    0.74139
    0.73424    0.72714    0.72002    0.71282    0.70548    0.69787    0.68983
    0.68111    0.67123    0.65920    0.64216    0.61012
 
 
 Brems with LPM smp tbl; (sqrt(v)-sqrt(vmin)/(1-u)
   11.96974   11.96858   11.97291   11.98813   11.96754   11.99931   12.04582
   12.11173   12.20333   12.33288   12.49760   12.68817   12.88076   13.03834
   13.11558   13.07894   12.92254   12.66619   12.34367   11.98961   11.63188
 
   11.84110   11.87323   11.84177   11.83726   11.87183   11.88104   11.91139
   11.97996   12.07016   12.19711   12.35789   12.54535   12.73638   12.89374
   12.97353   12.94219   12.79268   12.54336   12.22757   11.87898   11.52575
 
   11.69724   11.68251   11.69870   11.68640   11.72825   11.72336   11.76739
   11.83245   11.92124   12.04506   12.20277   12.38617   12.57500   12.73203
   12.81450   12.78901   12.64697   12.40578   12.09725   11.75494   11.40668
 
   11.54179   11.58716   11.54370   11.53553   11.53682   11.58541   11.61382
   11.67446   11.75976   11.88089   12.03519   12.21493   12.40088   12.55752
   12.64267   12.62307   12.48911   12.25647   11.95599   11.62059   11.27788
 
   11.37541   11.39643   11.37678   11.38466   11.39325   11.40805   11.44109
   11.50076   11.58576   11.70465   11.85520   12.03175   12.21462   12.37046
   12.45865   12.44508   12.31971   12.09627   11.80442   11.47634   11.13955
 
   11.19928   11.20570   11.19794   11.23379   11.20184   11.23072   11.26841
   11.32189   11.40560   11.51843   11.66574   11.83779   12.01719   12.17243
   12.26336   12.25622   12.13965   11.92587   11.64320   11.32317   10.99272
 
   11.01606   11.01498   11.01909   11.08293   11.01043   11.05341   11.07660
   11.13259   11.21614   11.32637   11.46826   11.63625   11.81237   11.96628
   12.05995   12.05951   11.95179   11.74810   11.47496   11.16318   10.83947
 
   10.82588   10.82424   10.82832   10.78119   10.81904   10.85642   10.88485
   10.93815   11.01739   11.12443   11.26284   11.42724   11.59948   11.75252
   11.84840   11.85449   11.75622   11.56281   11.29958   10.99656   10.67995
 
   10.62984   10.63351   10.63159   10.63033   10.62765   10.65947   10.69315
   10.73857   10.81570   10.91874   11.05234   11.21186   11.38025   11.53200
   11.63037   11.64251   11.55370   11.37096   11.11814   10.82403   10.51488
 
   10.42758   10.44278   10.42890   10.47947   10.43628   10.46254   10.48235
   10.53386   10.60477   10.70527   10.83540   10.98916   11.15439   11.30424
   11.40470   11.42341   11.34387   11.17209   10.92993   10.64532   10.34390
 
   10.22275   10.25205   10.22620   10.17775   10.24491   10.24596   10.28120
   10.32404   10.39407   10.49015   10.61625   10.76534   10.92594   11.07388
   11.17628   11.20092   11.13087   10.96979   10.73851   10.46349   10.17011
 
   10.01355    9.96594   10.01159   10.02690   10.00572   10.04909   10.07054
   10.11434   10.17732   10.27136   10.39215   10.53636   10.69262   10.83847
   10.94255   10.97308   10.91217   10.76234   10.54192   10.27689    9.99180
 
    9.80112    9.77521    9.80293    9.87604    9.81439    9.83258    9.85038
    9.89430    9.96081   10.04892   10.16451   10.30330   10.45607   10.59971
   10.70504   10.74109   10.68950   10.55049   10.34135   10.08654    9.80998
 
    9.58685    9.58447    9.58832    9.57434    9.57523    9.61610    9.63987
    9.67440    9.73827    9.82285    9.93475   10.06923   10.21770   10.35864
   10.46495   10.50637   10.46379   10.33591   10.13801    9.89344    9.62578
 
    9.36888    9.39374    9.36774    9.42349    9.38392    9.39965    9.41986
    9.45465    9.51286    9.59518    9.70289    9.83216    9.97526   10.11381
   10.22085   10.26722   10.23334   10.11636    9.92998    9.69600    9.43741
 
    9.15054    9.10763    9.15312    9.12180    9.14479    9.16358    9.19994
    9.23505    9.28770    9.36794    9.46896    9.59413    9.73283    9.86835
    9.97572   10.02687   10.00146    9.89537    9.72041    9.49722    9.24774
 
    8.93073    8.91690    8.93255    8.97096    8.95351    8.94721    8.97053
    9.01036    9.06280    9.13711    9.23571    9.35515    9.48889    9.62172
    9.72914    9.78429    9.76706    9.67173    9.50824    9.29583    9.05584
 
    8.70980    8.72616    8.71197    8.66928    8.71441    8.73088    8.75076
    8.78583    8.83505    8.90672    9.00040    9.11524    9.24425    9.37365
    9.48094    9.54009    9.53056    9.44574    9.29374    9.09228    8.86182
 
    8.48801    8.53543    8.49140    8.51845    8.47534    8.51458    8.53107
    8.55623    8.60756    8.67476    8.76442    8.87442    8.99891    9.12480
    9.23170    9.29418    9.29238    9.21765    9.07698    8.88660    8.66597
 
    8.26459    8.24932    8.26486    8.21679    8.28409    8.27866    8.30191
    8.33200    8.37722    8.44125    8.52778    8.63270    8.75217    8.87433
    8.98051    9.04605    9.05132    8.98669    8.85738    8.67814    8.46743
 
    8.04198    8.05859    8.04429    8.06596    8.04505    8.06245    8.07284
    8.10792    8.15026    8.21018    8.29183    8.39107    8.50627    8.62520
    8.72990    8.79839    8.81014    8.75532    8.63724    8.46899    8.26842
 
    7.81825    7.77248    7.81776    7.76431    7.80603    7.82661    7.85339
    7.87879    7.92046    7.97756    8.05388    8.14954    8.25973    8.37510
    8.47821    8.54895    8.56687    8.52159    8.41452    8.25747    8.07015
 
    7.59433    7.58175    7.59719    7.61349    7.61482    7.61047    7.62448
    7.64981    7.69093    7.74538    7.81798    7.90811    8.01404    8.12465
    8.22647    8.29871    8.32264    8.28631    8.19010    8.04421    7.86885
 
    7.37085    7.39101    7.37066    7.31185    7.37583    7.39436    7.39566
    7.42619    7.46167    7.51364    7.58143    7.66775    7.76846    7.87528
    7.97493    8.04875    8.07796    8.05022    7.96466    7.83149    7.66314
 
    7.14738    7.10490    7.15009    7.16104    7.13686    7.15865    7.17645
    7.19753    7.23268    7.28036    7.34558    7.42747    7.52371    7.62643
    7.72363    7.79834    7.83226    7.81288    7.73776    7.61706    7.45564
 
    6.92419    6.91417    6.92356    6.85942    6.94569    6.94262    6.94779
    6.96902    7.00396    7.04950    7.11175    7.18825    7.27909    7.37768
    7.47283    7.54814    7.58619    7.57466    7.50962    7.40001    7.24193
 
    6.70290    6.72343    6.70299    6.70861    6.70675    6.70699    6.72874
    6.74585    6.77859    6.82105    6.87861    6.95103    7.03742    7.13181
    7.22433    7.29955    7.34160    7.33720    7.28550    7.18199    7.03270
 
    6.48123    6.43733    6.48242    6.55780    6.46783    6.49104    6.50025
    6.52284    6.55040    6.59106    6.64614    6.71482    6.79586    6.88590
    6.97544    7.05047    7.09581    7.09827    7.05652    6.96103    6.82186
 
    6.26054    6.24659    6.26186    6.25620    6.27671    6.27512    6.28136
    6.29997    6.32555    6.36346    6.41435    6.47869    6.55579    6.64158
    6.72794    6.80230    6.85030    6.85902    6.82552    6.73392    6.60589
 
    6.04204    6.05585    6.04130    6.10540    6.03782    6.05924    6.06255
    6.07726    6.10404    6.13824    6.18587    6.24639    6.31860    6.40045
    6.48314    6.55649    6.60674    6.62590    6.59413    6.51139    6.39536
 
    5.82424    5.86512    5.82669    5.80381    5.84672    5.82378    5.84381
    5.85986    5.87970    5.91344    5.95803    6.01507    6.08286    6.15978
    6.23947    6.31158    6.36341    6.38734    6.36125    6.28836    6.18518
 
    5.60813    5.57901    5.60613    5.65302    5.60787    5.60797    5.62515
    5.63744    5.66176    5.69100    5.73216    5.78564    5.84923    5.92222
    5.99798    6.06846    6.12206    6.14834    6.12852    6.06623    5.97239
 
    5.39472    5.38828    5.39749    5.35144    5.41679    5.41181    5.40657
    5.42550    5.44406    5.47092    5.50953    5.55903    5.61905    5.68770
    5.76009    5.82850    5.88720    5.91054    5.89323    5.84211    5.76580
 
    5.18299    5.19754    5.18289    5.20066    5.17797    5.19608    5.19756
    5.20853    5.22660    5.25511    5.29014    5.33519    5.39092    5.45565
    5.52438    5.59058    5.64834    5.67335    5.66303    5.62334    5.55848
 
    4.97377    5.00681    4.97425    5.04988    4.98693    4.98038    4.98863
    4.99686    5.01551    5.03968    5.07264    5.11501    5.16614    5.22654
    5.29161    5.35805    5.41116    5.43803    5.43520    5.40735    5.35641
 
    4.76794    4.72070    4.76562    4.74832    4.74813    4.76472    4.77976
    4.79049    4.80463    4.82851    4.85832    4.89753    4.94601    5.00235
    5.06344    5.12890    5.17708    5.20633    5.21132    5.19237    5.15843
 
    4.56473    4.52997    4.56294    4.59754    4.55712    4.56869    4.58046
    4.58424    4.60009    4.61963    4.64846    4.68365    4.72847    4.78095
    4.83854    4.89956    4.94573    4.97531    4.98801    4.98340    4.96167
 
    4.36526    4.33923    4.36623    4.29600    4.36611    4.37269    4.37173
    4.38328    4.39577    4.41690    4.44173    4.47512    4.51611    4.56431
    4.62081    4.67627    4.71882    4.75166    4.77215    4.77916    4.77129
 
    4.16916    4.14849    4.16952    4.14523    4.17511    4.17673    4.18204
    4.18758    4.19774    4.21643    4.23940    4.26919    4.30689    4.35233
    4.40494    4.45448    4.49645    4.53276    4.56108    4.57755    4.58520
 
    3.97700    3.95776    3.97877    3.99447    3.98413    3.98079    3.98293
    3.99199    4.00296    4.02014    4.04014    4.06852    4.10338    4.14491
    4.19477    4.23742    4.28097    4.31955    4.35538    4.38293    4.40266
 
    3.78909    3.76702    3.78802    3.84370    3.79316    3.78489    3.79336
    3.80167    3.81445    3.82800    3.84650    3.87216    3.90420    3.94443
    3.98671    4.02727    4.06962    4.11255    4.15559    4.19392    4.22646
 
    3.60567    3.57629    3.60323    3.54218    3.60220    3.60860    3.61332
    3.61659    3.62612    3.63999    3.65844    3.68097    3.70992    3.74782
    3.78452    3.82295    3.86557    3.91301    3.96247    4.01100    4.05591
 
    3.42682    3.38555    3.42440    3.39142    3.41125    3.43233    3.43334
    3.43675    3.44708    3.45802    3.47465    3.49489    3.52178    3.55597
    3.58843    3.62518    3.66903    3.72003    3.77622    3.83426    3.89083
 
    3.25285    3.29018    3.25154    3.24067    3.26804    3.25609    3.26287
    3.26214    3.27122    3.28206    3.29509    3.31476    3.34033    3.36784
    3.39753    3.43375    3.47907    3.53412    3.59674    3.66373    3.73134
 
    3.08383    3.09945    3.08464    3.08992    3.07711    3.07987    3.09246
    3.09276    3.09856    3.11016    3.12228    3.13963    3.16421    3.18767
    3.21503    3.25082    3.29793    3.35653    3.42523    3.50046    3.57842
 
    2.92006    2.90871    2.91773    2.93917    2.93393    2.92326    2.92209
    2.92859    2.93512    2.94232    2.95491    2.97034    2.99206    3.01245
    3.03854    3.07468    3.12372    3.18625    3.26060    3.34369    3.43133
 
    2.76160    2.71798    2.76275    2.78842    2.74302    2.76666    2.76123
    2.76963    2.77484    2.78232    2.79294    2.80772    2.82574    2.84258
    2.86936    2.90657    2.95788    3.02386    3.10357    3.19381    3.29051
 
    2.60866    2.62261    2.60777    2.63767    2.59984    2.61008    2.60986
    2.61587    2.62074    2.62633    2.63635    2.64996    2.66393    2.68127
    2.70661    2.74510    2.79896    2.86870    2.95338    3.05035    3.15554
 
    2.46120    2.43187    2.45875    2.48693    2.45668    2.45352    2.46800
    2.46730    2.47279    2.47814    2.48636    2.49964    2.51033    2.52555
    2.55267    2.59264    2.64878    2.72194    2.81123    2.91431    3.02714
 
    2.31940    2.33651    2.32165    2.33619    2.31352    2.31655    2.32616
    2.32391    2.32797    2.33392    2.34168    2.35146    2.36109    2.37860
    2.40520    2.44728    2.50592    2.58222    2.67589    2.78468    2.90474
 
 
  constant for Pair  sampling table at low energies
   1.10000000000000D-003  -2.95860731484177        8.00000000000000D-003   63.8481205758033        12611.1111111111               47          47   5.00000000000000D-002   1.00000000000000               41   2.37500000000000D-002  0.103559900713016        0.00000000000000D+000  0.472870804501588               41   1.18217701125397D-002  0.103559900713016        4.74478891987136D-002
 
 Al      
total pair x-sec. at low E
   1.100001E-03   4.352753E-05
   1.396217E-03   2.519560E-03
   1.772201E-03   1.075571E-02
   2.249432E-03   2.517641E-02
   2.855175E-03   4.510714E-02
   3.624037E-03   6.965647E-02
   4.599944E-03   9.799048E-02
   5.838650E-03  0.1293944    
   7.410923E-03  0.1632704    
   9.406590E-03  0.1993572    
   1.193966E-02  0.2370519    
   1.515486E-02  0.2748832    
   1.923587E-02  0.3129468    
   2.441585E-02  0.3508353    
   3.099073E-02  0.3882213    
   3.933613E-02  0.4248037    
   4.992885E-02  0.4602944    
   6.337404E-02  0.4944170    
   8.043987E-02  0.5269676    
  0.1021013      0.5578933    
  0.1295959      0.5857179    
  0.1644944      0.6109519    
  0.2087906      0.6341539    
  0.2650152      0.6547797    
  0.3363805      0.6729259    
  0.4269634      0.6887625    
  0.5419391      0.7026747    
  0.6878765      0.7144222    
  0.8731128      0.7245002    
   1.108231      0.7331045    
   1.406663      0.7403845    
   1.785460      0.7465045    
   2.266261      0.7516226    
   2.876536      0.7559096    
   3.651150      0.7594768    
   4.634359      0.7624373    
   5.882332      0.7649041    
   7.466369      0.7669259    
   9.476967      0.7686081    
   12.02899      0.7699772    
   15.26825      0.7711147    
   19.37979      0.7720374    
   24.59852      0.7728006    
   31.22258      0.7734258    
   39.63043      0.7739372    
   50.30239      0.7743466    
   63.84818      0.7734937    
 
 Pair table (v-.5)/(1-u) at low E
    0.03277    0.03221    0.03176    0.03138    0.03105    0.03077    0.03050
    0.03028    0.03006    0.02988    0.02970    0.02954    0.02940    0.02926
    0.02912    0.02900    0.02891    0.02880    0.02870    0.02861    0.02853
    0.02846    0.02838    0.02831    0.02826    0.02820    0.02815    0.02811
    0.02805    0.02801    0.02797    0.02796    0.02790    0.02788    0.02785
    0.02788    0.02784    0.02788    0.02779    0.02788    0.02781
 
    0.12380    0.12166    0.11994    0.11849    0.11723    0.11613    0.11516
    0.11428    0.11348    0.11277    0.11209    0.11148    0.11093    0.11040
    0.10991    0.10947    0.10905    0.10866    0.10829    0.10795    0.10765
    0.10735    0.10708    0.10683    0.10660    0.10638    0.10618    0.10601
    0.10583    0.10568    0.10554    0.10544    0.10532    0.10521    0.10513
    0.10507    0.10500    0.10498    0.10495    0.10487    0.10492
 
    0.19547    0.19209    0.18937    0.18708    0.18511    0.18339    0.18186
    0.18048    0.17923    0.17809    0.17705    0.17609    0.17521    0.17440
    0.17364    0.17293    0.17229    0.17168    0.17111    0.17060    0.17011
    0.16966    0.16923    0.16884    0.16848    0.16814    0.16783    0.16756
    0.16730    0.16708    0.16687    0.16667    0.16650    0.16635    0.16624
    0.16609    0.16600    0.16595    0.16597    0.16577    0.16588
 
    0.25197    0.24765    0.24417    0.24128    0.23878    0.23659    0.23465
    0.23291    0.23135    0.22991    0.22862    0.22742    0.22631    0.22530
    0.22436    0.22348    0.22268    0.22192    0.22122    0.22059    0.21998
    0.21941    0.21890    0.21842    0.21798    0.21756    0.21719    0.21683
    0.21652    0.21622    0.21597    0.21574    0.21554    0.21538    0.21522
    0.21508    0.21495    0.21484    0.21481    0.21473    0.21479
 
    0.29661    0.29159    0.28760    0.28426    0.28142    0.27894    0.27674
    0.27477    0.27301    0.27139    0.26994    0.26860    0.26737    0.26624
    0.26520    0.26424    0.26334    0.26252    0.26174    0.26105    0.26038
    0.25976    0.25920    0.25868    0.25819    0.25775    0.25733    0.25697
    0.25663    0.25633    0.25602    0.25577    0.25557    0.25537    0.25524
    0.25505    0.25498    0.25486    0.25482    0.25472    0.25475
 
    0.33195    0.32650    0.32217    0.31860    0.31556    0.31291    0.31058
    0.30850    0.30665    0.30497    0.30345    0.30206    0.30079    0.29963
    0.29855    0.29756    0.29664    0.29580    0.29503    0.29432    0.29365
    0.29303    0.29247    0.29193    0.29147    0.29100    0.29060    0.29024
    0.28990    0.28959    0.28930    0.28905    0.28886    0.28867    0.28848
    0.28838    0.28822    0.28819    0.28814    0.28796    0.28805
 
    0.36008    0.35437    0.34990    0.34623    0.34311    0.34042    0.33808
    0.33599    0.33413    0.33246    0.33096    0.32959    0.32835    0.32720
    0.32618    0.32522    0.32434    0.32353    0.32279    0.32210    0.32149
    0.32089    0.32037    0.31987    0.31944    0.31901    0.31863    0.31831
    0.31799    0.31770    0.31744    0.31723    0.31703    0.31685    0.31668
    0.31656    0.31649    0.31637    0.31639    0.31621    0.31630
 
    0.38256    0.37679    0.37232    0.36865    0.36559    0.36295    0.36067
    0.35865    0.35686    0.35527    0.35385    0.35256    0.35139    0.35033
    0.34937    0.34849    0.34768    0.34696    0.34628    0.34568    0.34511
    0.34461    0.34411    0.34368    0.34330    0.34295    0.34263    0.34232
    0.34205    0.34182    0.34161    0.34140    0.34125    0.34108    0.34095
    0.34088    0.34077    0.34076    0.34073    0.34067    0.34063
 
    0.40067    0.39498    0.39061    0.38706    0.38410    0.38160    0.37943
    0.37755    0.37588    0.37441    0.37310    0.37193    0.37087    0.36994
    0.36908    0.36832    0.36760    0.36697    0.36640    0.36589    0.36541
    0.36499    0.36458    0.36423    0.36392    0.36363    0.36337    0.36314
    0.36292    0.36275    0.36258    0.36243    0.36229    0.36217    0.36207
    0.36204    0.36192    0.36191    0.36189    0.36182    0.36184
 
    0.41408    0.40863    0.40453    0.40128    0.39860    0.39638    0.39448
    0.39284    0.39143    0.39018    0.38910    0.38816    0.38732    0.38656
    0.38590    0.38533    0.38480    0.38435    0.38394    0.38357    0.38325
    0.38297    0.38271    0.38250    0.38230    0.38213    0.38198    0.38185
    0.38172    0.38162    0.38156    0.38148    0.38142    0.38134    0.38133
    0.38126    0.38122    0.38126    0.38118    0.38126    0.38120
 
    0.42697    0.42191    0.41812    0.41517    0.41275    0.41076    0.40909
    0.40767    0.40645    0.40541    0.40451    0.40373    0.40306    0.40248
    0.40198    0.40154    0.40116    0.40085    0.40057    0.40034    0.40014
    0.39997    0.39984    0.39972    0.39962    0.39956    0.39950    0.39943
    0.39940    0.39937    0.39936    0.39934    0.39932    0.39934    0.39932
    0.39934    0.39930    0.39934    0.39927    0.39934    0.39933
 
    0.43746    0.43279    0.42935    0.42667    0.42452    0.42277    0.42132
    0.42010    0.41910    0.41825    0.41754    0.41694    0.41644    0.41602
    0.41568    0.41539    0.41517    0.41499    0.41484    0.41475    0.41466
    0.41462    0.41460    0.41458    0.41460    0.41462    0.41464    0.41469
    0.41472    0.41479    0.41484    0.41486    0.41493    0.41497    0.41499
    0.41506    0.41510    0.41506    0.41514    0.41506    0.41513
 
    0.44616    0.44188    0.43878    0.43639    0.43452    0.43301    0.43179
    0.43079    0.42999    0.42932    0.42881    0.42839    0.42804    0.42779
    0.42760    0.42748    0.42740    0.42736    0.42737    0.42740    0.42744
    0.42751    0.42760    0.42771    0.42783    0.42794    0.42807    0.42819
    0.42831    0.42845    0.42856    0.42866    0.42879    0.42886    0.42896
    0.42903    0.42907    0.42913    0.42911    0.42934    0.42919
 
    0.45343    0.44956    0.44678    0.44469    0.44307    0.44180    0.44082
    0.44004    0.43944    0.43896    0.43863    0.43839    0.43822    0.43812
    0.43812    0.43813    0.43820    0.43831    0.43843    0.43860    0.43876
    0.43897    0.43918    0.43939    0.43959    0.43982    0.44004    0.44025
    0.44046    0.44066    0.44083    0.44101    0.44116    0.44131    0.44145
    0.44159    0.44164    0.44173    0.44176    0.44183    0.44182
 
    0.45956    0.45608    0.45363    0.45184    0.45048    0.44945    0.44869
    0.44811    0.44771    0.44744    0.44728    0.44721    0.44723    0.44729
    0.44743    0.44759    0.44781    0.44807    0.44832    0.44862    0.44892
    0.44923    0.44956    0.44988    0.45021    0.45053    0.45084    0.45114
    0.45143    0.45169    0.45197    0.45221    0.45243    0.45263    0.45279
    0.45295    0.45304    0.45318    0.45315    0.45338    0.45328
 
    0.46478    0.46169    0.45956    0.45805    0.45695    0.45617    0.45562
    0.45526    0.45505    0.45497    0.45500    0.45508    0.45527    0.45551
    0.45580    0.45611    0.45647    0.45686    0.45727    0.45769    0.45811
    0.45856    0.45899    0.45943    0.45986    0.46027    0.46068    0.46107
    0.46145    0.46179    0.46213    0.46244    0.46271    0.46297    0.46316
    0.46336    0.46351    0.46365    0.46378    0.46386    0.46379
 
    0.46925    0.46655    0.46475    0.46350    0.46267    0.46211    0.46179
    0.46163    0.46162    0.46173    0.46191    0.46220    0.46254    0.46294
    0.46339    0.46385    0.46435    0.46489    0.46544    0.46598    0.46654
    0.46710    0.46765    0.46819    0.46872    0.46923    0.46976    0.47021
    0.47067    0.47112    0.47151    0.47187    0.47221    0.47251    0.47275
    0.47303    0.47321    0.47330    0.47349    0.47341    0.47353
 
    0.47315    0.47080    0.46930    0.46835    0.46776    0.46743    0.46733
    0.46737    0.46756    0.46786    0.46822    0.46867    0.46918    0.46974
    0.47033    0.47096    0.47162    0.47229    0.47296    0.47364    0.47431
    0.47499    0.47567    0.47633    0.47696    0.47759    0.47818    0.47874
    0.47929    0.47979    0.48026    0.48071    0.48110    0.48147    0.48175
    0.48202    0.48226    0.48246    0.48254    0.48246    0.48264
 
    0.47654    0.47457    0.47339    0.47269    0.47234    0.47226    0.47237
    0.47261    0.47299    0.47347    0.47401    0.47465    0.47532    0.47603
    0.47677    0.47755    0.47836    0.47917    0.47997    0.48079    0.48159
    0.48239    0.48318    0.48395    0.48468    0.48541    0.48610    0.48677
    0.48740    0.48797    0.48853    0.48904    0.48947    0.48989    0.49024
    0.49055    0.49076    0.49101    0.49120    0.49112    0.49125
 
    0.47955    0.47794    0.47706    0.47663    0.47653    0.47668    0.47699
    0.47745    0.47802    0.47866    0.47940    0.48018    0.48102    0.48190
    0.48282    0.48374    0.48468    0.48562    0.48657    0.48751    0.48844
    0.48936    0.49026    0.49115    0.49199    0.49282    0.49360    0.49437
    0.49507    0.49572    0.49635    0.49691    0.49745    0.49791    0.49831
    0.49863    0.49894    0.49914    0.49937    0.49945    0.49944
 
    0.48229    0.48104    0.48048    0.48034    0.48051    0.48089    0.48146
    0.48214    0.48293    0.48380    0.48474    0.48574    0.48679    0.48787
    0.48898    0.49010    0.49124    0.49240    0.49354    0.49471    0.49586
    0.49700    0.49814    0.49925    0.50036    0.50144    0.50252    0.50357
    0.50452    0.50533    0.50590    0.50683    0.50708    0.50795    0.50884
    0.50830    0.50917    0.51019    0.50746    0.50754    0.50961
 
    0.48474    0.48388    0.48363    0.48379    0.48423    0.48486    0.48565
    0.48657    0.48759    0.48870    0.48986    0.49107    0.49233    0.49363
    0.49496    0.49629    0.49766    0.49903    0.50038    0.50170    0.50294
    0.50409    0.50540    0.50642    0.50768    0.50852    0.50968    0.51082
    0.51194    0.51234    0.51332    0.51432    0.51528    0.51496    0.51571
    0.51650    0.51745    0.51871    0.52076    0.51574    0.51695
 
    0.48695    0.48644    0.48651    0.48694    0.48762    0.48849    0.48953
    0.49067    0.49189    0.49320    0.49455    0.49598    0.49743    0.49888
    0.50031    0.50171    0.50309    0.50458    0.50587    0.50735    0.50856
    0.50996    0.51135    0.51271    0.51365    0.51491    0.51613    0.51730
    0.51848    0.51883    0.51979    0.52072    0.52159    0.52245    0.52332
    0.52224    0.52261    0.52292    0.52305    0.52313    0.52441
 
    0.48897    0.48880    0.48915    0.48987    0.49080    0.49191    0.49317
    0.49451    0.49595    0.49743    0.49889    0.50047    0.50198    0.50350
    0.50514    0.50661    0.50825    0.50987    0.51126    0.51284    0.51441
    0.51564    0.51713    0.51856    0.51997    0.52133    0.52216    0.52338
    0.52452    0.52563    0.52667    0.52766    0.52858    0.52830    0.52893
    0.52944    0.52980    0.53018    0.53032    0.53040    0.53148
 
    0.49081    0.49096    0.49163    0.49259    0.49376    0.49510    0.49657
    0.49807    0.49960    0.50119    0.50289    0.50452    0.50628    0.50790
    0.50967    0.51143    0.51302    0.51474    0.51648    0.51818    0.51960
    0.52121    0.52280    0.52433    0.52584    0.52731    0.52826    0.52955
    0.53077    0.53194    0.53303    0.53407    0.53510    0.53600    0.53561
    0.53615    0.53664    0.53703    0.53716    0.53724    0.53809
 
    0.49249    0.49297    0.49388    0.49511    0.49650    0.49800    0.49960
    0.50126    0.50297    0.50478    0.50654    0.50841    0.51020    0.51207
    0.51397    0.51571    0.51757    0.51942    0.52124    0.52306    0.52460
    0.52632    0.52800    0.52963    0.53123    0.53276    0.53384    0.53522
    0.53650    0.53773    0.53888    0.53997    0.54097    0.54194    0.54285
    0.54374    0.54291    0.54335    0.54360    0.54368    0.54418
 
    0.49401    0.49478    0.49598    0.49739    0.49893    0.50060    0.50235
    0.50416    0.50607    0.50793    0.50990    0.51181    0.51380    0.51580
    0.51778    0.51964    0.52160    0.52354    0.52547    0.52735    0.52900
    0.53079    0.53252    0.53422    0.53587    0.53743    0.53895    0.54040
    0.54135    0.54258    0.54371    0.54474    0.54570    0.54652    0.54724
    0.54786    0.54840    0.54876    0.54900    0.54908    0.54989
 
    0.49541    0.49646    0.49786    0.49942    0.50116    0.50300    0.50494
    0.50689    0.50892    0.51093    0.51301    0.51504    0.51712    0.51924
    0.52132    0.52342    0.52537    0.52737    0.52939    0.53135    0.53330
    0.53519    0.53684    0.53858    0.54029    0.54192    0.54349    0.54501
    0.54643    0.54776    0.54903    0.55019    0.55073    0.55159    0.55238
    0.55302    0.55359    0.55401    0.55435    0.55443    0.55485
 
    0.49667    0.49797    0.49954    0.50132    0.50321    0.50517    0.50720
    0.50932    0.51148    0.51360    0.51579    0.51797    0.52011    0.52228
    0.52447    0.52664    0.52879    0.53080    0.53288    0.53491    0.53691
    0.53885    0.54077    0.54262    0.54441    0.54590    0.54754    0.54906
    0.55051    0.55190    0.55315    0.55436    0.55543    0.55644    0.55736
    0.55820    0.55898    0.55857    0.55886    0.55910    0.55930
 
    0.49782    0.49931    0.50105    0.50297    0.50503    0.50713    0.50927
    0.51149    0.51374    0.51594    0.51822    0.52051    0.52278    0.52498
    0.52725    0.52946    0.53168    0.53387    0.53602    0.53813    0.54009
    0.54208    0.54404    0.54593    0.54776    0.54951    0.55121    0.55280
    0.55433    0.55551    0.55682    0.55799    0.55910    0.56007    0.56093
    0.56168    0.56241    0.56298    0.56365    0.56470    0.56325
 
    0.49885    0.50053    0.50243    0.50449    0.50666    0.50885    0.51112
    0.51340    0.51572    0.51807    0.52038    0.52272    0.52506    0.52741
    0.52972    0.53203    0.53422    0.53645    0.53866    0.54083    0.54295
    0.54502    0.54704    0.54887    0.55073    0.55252    0.55423    0.55584
    0.55738    0.55882    0.56017    0.56142    0.56238    0.56339    0.56430
    0.56500    0.56565    0.56609    0.56649    0.56641    0.56670
 
    0.49974    0.50159    0.50364    0.50582    0.50808    0.51037    0.51273
    0.51512    0.51749    0.51989    0.52230    0.52472    0.52709    0.52947
    0.53185    0.53419    0.53652    0.53880    0.54099    0.54321    0.54537
    0.54747    0.54951    0.55149    0.55341    0.55518    0.55693    0.55860
    0.56015    0.56160    0.56295    0.56418    0.56532    0.56632    0.56717
    0.56791    0.56855    0.56896    0.56931    0.56939    0.56968
 
    0.50056    0.50254    0.50472    0.50701    0.50935    0.51174    0.51414
    0.51658    0.51906    0.52149    0.52395    0.52640    0.52887    0.53131
    0.53369    0.53608    0.53843    0.54076    0.54307    0.54532    0.54749
    0.54963    0.55172    0.55372    0.55566    0.55751    0.55929    0.56096
    0.56254    0.56406    0.56540    0.56668    0.56783    0.56886    0.56970
    0.57049    0.57118    0.57171    0.57211    0.57203    0.57224
 
    0.50128    0.50340    0.50568    0.50804    0.51043    0.51289    0.51537
    0.51786    0.52037    0.52288    0.52539    0.52787    0.53037    0.53284
    0.53530    0.53773    0.54012    0.54249    0.54482    0.54709    0.54931
    0.55148    0.55357    0.55563    0.55758    0.55947    0.56127    0.56297
    0.56458    0.56610    0.56751    0.56876    0.56993    0.57098    0.57189
    0.57266    0.57333    0.57369    0.57409    0.57433    0.57444
 
    0.50191    0.50414    0.50651    0.50893    0.51140    0.51390    0.51643
    0.51897    0.52153    0.52406    0.52661    0.52915    0.53167    0.53416
    0.53665    0.53913    0.54155    0.54393    0.54629    0.54860    0.55086
    0.55306    0.55518    0.55724    0.55925    0.56114    0.56296    0.56469
    0.56633    0.56786    0.56925    0.57055    0.57174    0.57281    0.57376
    0.57457    0.57522    0.57555    0.57590    0.57630    0.57630
 
    0.50247    0.50478    0.50722    0.50971    0.51222    0.51478    0.51735
    0.51991    0.52249    0.52509    0.52764    0.53022    0.53276    0.53531
    0.53782    0.54029    0.54276    0.54519    0.54755    0.54988    0.55216
    0.55438    0.55654    0.55863    0.56063    0.56257    0.56439    0.56616
    0.56781    0.56936    0.57076    0.57209    0.57326    0.57436    0.57529
    0.57608    0.57678    0.57730    0.57754    0.57762    0.57788
 
    0.50295    0.50535    0.50783    0.51036    0.51294    0.51552    0.51811
    0.52071    0.52334    0.52594    0.52853    0.53114    0.53370    0.53627
    0.53881    0.54132    0.54377    0.54622    0.54862    0.55095    0.55326
    0.55550    0.55767    0.55979    0.56180    0.56375    0.56559    0.56737
    0.56904    0.57058    0.57204    0.57333    0.57453    0.57558    0.57649
    0.57732    0.57801    0.57850    0.57885    0.57893    0.57922
 
    0.50338    0.50583    0.50836    0.51093    0.51353    0.51614    0.51878
    0.52139    0.52404    0.52666    0.52930    0.53191    0.53450    0.53707
    0.53964    0.54216    0.54465    0.54710    0.54952    0.55189    0.55420
    0.55645    0.55864    0.56076    0.56282    0.56475    0.56662    0.56840
    0.57008    0.57165    0.57309    0.57445    0.57564    0.57675    0.57764
    0.57844    0.57907    0.57959    0.58000    0.58024    0.58033
 
    0.50373    0.50624    0.50881    0.51142    0.51404    0.51667    0.51932
    0.52197    0.52463    0.52728    0.52991    0.53254    0.53516    0.53775
    0.54033    0.54287    0.54536    0.54785    0.55026    0.55267    0.55496
    0.55724    0.55944    0.56157    0.56362    0.56561    0.56749    0.56923
    0.57092    0.57249    0.57397    0.57529    0.57650    0.57759    0.57857
    0.57935    0.58005    0.58057    0.58098    0.58122    0.58128
 
    0.50405    0.50660    0.50919    0.51183    0.51446    0.51712    0.51980
    0.52245    0.52513    0.52779    0.53046    0.53309    0.53572    0.53834
    0.54091    0.54348    0.54599    0.54847    0.55089    0.55329    0.55565
    0.55792    0.56011    0.56226    0.56432    0.56630    0.56819    0.56999
    0.57169    0.57326    0.57476    0.57609    0.57732    0.57839    0.57933
    0.58014    0.58079    0.58134    0.58179    0.58187    0.58205
 
    0.50432    0.50690    0.50952    0.51217    0.51483    0.51750    0.52019
    0.52287    0.52556    0.52821    0.53090    0.53354    0.53619    0.53880
    0.54139    0.54395    0.54648    0.54899    0.55143    0.55382    0.55617
    0.55847    0.56067    0.56284    0.56491    0.56689    0.56879    0.57057
    0.57226    0.57385    0.57535    0.57667    0.57793    0.57899    0.57998
    0.58079    0.58144    0.58199    0.58245    0.58253    0.58271
 
    0.50453    0.50716    0.50980    0.51245    0.51514    0.51782    0.52052
    0.52321    0.52591    0.52859    0.53127    0.53392    0.53656    0.53921
    0.54179    0.54437    0.54692    0.54941    0.55187    0.55429    0.55663
    0.55892    0.56115    0.56330    0.56538    0.56737    0.56928    0.57109
    0.57280    0.57439    0.57587    0.57725    0.57846    0.57960    0.58053
    0.58138    0.58209    0.58253    0.58294    0.58318    0.58324
 
    0.50473    0.50736    0.51003    0.51270    0.51540    0.51810    0.52079
    0.52349    0.52620    0.52889    0.53157    0.53424    0.53689    0.53953
    0.54214    0.54471    0.54727    0.54975    0.55223    0.55463    0.55702
    0.55931    0.56154    0.56370    0.56579    0.56779    0.56970    0.57152
    0.57321    0.57483    0.57629    0.57765    0.57887    0.57997    0.58096
    0.58177    0.58242    0.58297    0.58342    0.58350    0.58369
 
    0.50490    0.50755    0.51022    0.51291    0.51560    0.51830    0.52102
    0.52373    0.52644    0.52914    0.53183    0.53451    0.53717    0.53979
    0.54242    0.54499    0.54755    0.55007    0.55253    0.55494    0.55731
    0.55962    0.56185    0.56403    0.56611    0.56811    0.57003    0.57185
    0.57354    0.57516    0.57662    0.57801    0.57923    0.58034    0.58129
    0.58216    0.58283    0.58329    0.58375    0.58383    0.58406
 
    0.50503    0.50770    0.51037    0.51307    0.51578    0.51849    0.52121
    0.52393    0.52665    0.52933    0.53203    0.53471    0.53738    0.54003
    0.54264    0.54523    0.54779    0.55029    0.55279    0.55519    0.55757
    0.55988    0.56211    0.56428    0.56638    0.56837    0.57031    0.57212
    0.57384    0.57542    0.57691    0.57830    0.57952    0.58062    0.58161
    0.58242    0.58315    0.58362    0.58408    0.58416    0.58437
 
    0.50514    0.50782    0.51051    0.51321    0.51592    0.51864    0.52137
    0.52408    0.52681    0.52950    0.53221    0.53489    0.53757    0.54020
    0.54284    0.54544    0.54798    0.55049    0.55297    0.55541    0.55777
    0.56010    0.56234    0.56451    0.56660    0.56861    0.57054    0.57237
    0.57408    0.57569    0.57717    0.57856    0.57980    0.58090    0.58188
    0.58268    0.58340    0.58394    0.58424    0.58448    0.58462
 
    0.50568    0.50840    0.51112    0.51386    0.51659    0.51934    0.52207
    0.52481    0.52755    0.53027    0.53300    0.53569    0.53837    0.54104
    0.54369    0.54629    0.54887    0.55139    0.55388    0.55633    0.55870
    0.56105    0.56331    0.56549    0.56759    0.56962    0.57155    0.57339
    0.57510    0.57671    0.57823    0.57959    0.58085    0.58196    0.58296
    0.58378    0.58444    0.58502    0.58537    0.58577    0.58570
 
 
 Pair table at low E; v
    0.53545    0.53545    0.53545    0.53545    0.53544    0.53544    0.53542
    0.53542    0.53540    0.53537    0.53535    0.53532    0.53529    0.53524
    0.53519    0.53514    0.53509    0.53502    0.53495    0.53487    0.53478
    0.53469    0.53458    0.53447    0.53436    0.53423    0.53410    0.53395
    0.53380    0.53363    0.53346    0.53328    0.53309    0.53288    0.53266
    0.53244    0.53220    0.53195    0.53169    0.53142    0.53113
 
    0.53786    0.53785    0.53785    0.53785    0.53784    0.53784    0.53782
    0.53781    0.53780    0.53777    0.53774    0.53771    0.53768    0.53763
    0.53757    0.53752    0.53746    0.53739    0.53732    0.53723    0.53714
    0.53704    0.53693    0.53681    0.53669    0.53655    0.53641    0.53625
    0.53609    0.53591    0.53573    0.53553    0.53533    0.53511    0.53488
    0.53464    0.53439    0.53412    0.53384    0.53354    0.53324
 
    0.54499    0.54499    0.54499    0.54499    0.54497    0.54497    0.54495
    0.54494    0.54491    0.54489    0.54485    0.54481    0.54477    0.54472
    0.54466    0.54459    0.54452    0.54444    0.54434    0.54424    0.54413
    0.54401    0.54389    0.54374    0.54360    0.54344    0.54326    0.54308
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    0.54116    0.54086    0.54054    0.54021    0.53986    0.53950
 
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    0.73031    0.72861    0.72684    0.72498    0.72303    0.72100
 
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    0.78031    0.77825    0.77610    0.77384    0.77149    0.76903
 
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    0.80345    0.80124    0.79893    0.79649    0.79395    0.79130
 
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    0.82502    0.82265    0.82018    0.81760    0.81489    0.81207
 
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    0.84481    0.84232    0.83972    0.83701    0.83416    0.83119
 
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    0.86277    0.86018    0.85747    0.85464    0.85168    0.84858
 
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    0.87885    0.87619    0.87340    0.87048    0.86744    0.86425
 
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    0.89313    0.89041    0.88758    0.88459    0.88148    0.87824
 
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    0.90428    0.90149    0.89859    0.89556    0.89241    0.88912
 
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    0.91593    0.91316    0.91029    0.90728    0.90414    0.90087
 
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    0.92595    0.92323    0.92038    0.91742    0.91430    0.91105
 
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    0.93457    0.93191    0.92911    0.92617    0.92311    0.91991
 
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    0.94200    0.93938    0.93664    0.93376    0.93075    0.92760
 
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    0.94836    0.94582    0.94314    0.94033    0.93738    0.93429
 
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    0.95384    0.95136    0.94875    0.94602    0.94313    0.94012
 
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    0.95855    0.95615    0.95361    0.95094    0.94814    0.94519
 
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    0.96261    0.96029    0.95782    0.95524    0.95251    0.94962
 
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    0.96613    0.96388    0.96152    0.95900    0.95634    0.95356
 
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    0.96921    0.96705    0.96475    0.96233    0.95976    0.95705
 
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    0.97197    0.96989    0.96769    0.96534    0.96287    0.96025
 
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    0.99740    0.99725    0.99707    0.99686    0.99660    0.99633    0.99601
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    0.98525    0.98399    0.98266    0.98121    0.97966    0.97801    0.97626
    0.97439    0.97240    0.97028    0.96803    0.96564    0.96312
 
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    0.99808    0.99794    0.99777    0.99757    0.99736    0.99710    0.99681
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    0.97654    0.97464    0.97262    0.97046    0.96816    0.96571
 
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    0.99857    0.99845    0.99830    0.99813    0.99793    0.99771    0.99746
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    0.97845    0.97664    0.97469    0.97262    0.97041    0.96807
 
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    0.99894    0.99883    0.99871    0.99856    0.99837    0.99818    0.99795
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    0.98945    0.98840    0.98725    0.98602    0.98471    0.98329    0.98177
    0.98015    0.97840    0.97654    0.97455    0.97243    0.97016
 
    0.99944    0.99943    0.99943    0.99943    0.99940    0.99935    0.99929
    0.99922    0.99913    0.99900    0.99888    0.99873    0.99855    0.99835
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    0.99551    0.99498    0.99437    0.99373    0.99301    0.99224    0.99138
    0.99047    0.98948    0.98841    0.98725    0.98599    0.98465    0.98320
    0.98164    0.97998    0.97818    0.97628    0.97422    0.97204
 
    0.99962    0.99961    0.99961    0.99961    0.99958    0.99953    0.99949
    0.99942    0.99933    0.99924    0.99912    0.99898    0.99883    0.99865
    0.99843    0.99821    0.99795    0.99764    0.99731    0.99694    0.99653
    0.99607    0.99557    0.99502    0.99441    0.99374    0.99302    0.99223
    0.99136    0.99043    0.98941    0.98831    0.98712    0.98584    0.98445
    0.98296    0.98136    0.97963    0.97779    0.97581    0.97367
 
    0.99974    0.99973    0.99973    0.99973    0.99970    0.99967    0.99962
    0.99956    0.99949    0.99941    0.99930    0.99918    0.99905    0.99889
    0.99869    0.99850    0.99825    0.99798    0.99767    0.99734    0.99696
    0.99654    0.99607    0.99555    0.99499    0.99436    0.99369    0.99295
    0.99212    0.99124    0.99028    0.98922    0.98810    0.98686    0.98553
    0.98410    0.98254    0.98087    0.97907    0.97715    0.97507
 
    0.99983    0.99982    0.99982    0.99982    0.99979    0.99976    0.99973
    0.99968    0.99962    0.99954    0.99945    0.99934    0.99922    0.99907
    0.99890    0.99872    0.99851    0.99826    0.99797    0.99767    0.99732
    0.99693    0.99649    0.99602    0.99549    0.99491    0.99425    0.99355
    0.99277    0.99193    0.99102    0.99001    0.98891    0.98774    0.98644
    0.98505    0.98354    0.98191    0.98017    0.97828    0.97625
 
    0.99988    0.99988    0.99988    0.99988    0.99986    0.99983    0.99980
    0.99975    0.99969    0.99963    0.99956    0.99946    0.99936    0.99922
    0.99907    0.99890    0.99870    0.99847    0.99823    0.99794    0.99762
    0.99725    0.99684    0.99640    0.99589    0.99535    0.99474    0.99406
    0.99333    0.99252    0.99162    0.99066    0.98961    0.98845    0.98720
    0.98584    0.98438    0.98279    0.98108    0.97924    0.97724
 
    0.99992    0.99992    0.99992    0.99992    0.99990    0.99987    0.99984
    0.99981    0.99976    0.99970    0.99964    0.99955    0.99946    0.99934
    0.99921    0.99905    0.99886    0.99867    0.99844    0.99816    0.99786
    0.99752    0.99714    0.99671    0.99624    0.99572    0.99514    0.99450
    0.99378    0.99300    0.99214    0.99120    0.99017    0.98905    0.98783
    0.98651    0.98507    0.98350    0.98182    0.97999    0.97802
 
    0.99995    0.99994    0.99994    0.99994    0.99993    0.99991    0.99988
    0.99985    0.99982    0.99976    0.99970    0.99962    0.99955    0.99944
    0.99932    0.99916    0.99901    0.99881    0.99860    0.99834    0.99807
    0.99775    0.99738    0.99698    0.99653    0.99602    0.99546    0.99485
    0.99416    0.99340    0.99256    0.99164    0.99064    0.98954    0.98835
    0.98704    0.98562    0.98408    0.98241    0.98061    0.97866
 
    0.99997    0.99996    0.99996    0.99996    0.99995    0.99993    0.99991
    0.99988    0.99985    0.99981    0.99975    0.99969    0.99961    0.99952
    0.99940    0.99927    0.99912    0.99894    0.99874    0.99850    0.99824
    0.99793    0.99758    0.99720    0.99676    0.99627    0.99573    0.99512
    0.99445    0.99372    0.99290    0.99200    0.99100    0.98992    0.98875
    0.98745    0.98605    0.98452    0.98287    0.98107    0.97915
 
    0.99998    0.99997    0.99997    0.99997    0.99996    0.99996    0.99993
    0.99991    0.99988    0.99983    0.99979    0.99973    0.99965    0.99958
    0.99947    0.99935    0.99921    0.99904    0.99884    0.99863    0.99837
    0.99808    0.99774    0.99738    0.99695    0.99648    0.99594    0.99535
    0.99469    0.99396    0.99315    0.99227    0.99129    0.99022    0.98905
    0.98777    0.98638    0.98487    0.98322    0.98143    0.97951
 
    0.99999    0.99998    0.99998    0.99998    0.99998    0.99996    0.99995
    0.99992    0.99990    0.99986    0.99983    0.99977    0.99970    0.99963
    0.99952    0.99941    0.99928    0.99913    0.99894    0.99873    0.99847
    0.99819    0.99787    0.99751    0.99710    0.99662    0.99610    0.99552
    0.99488    0.99415    0.99336    0.99247    0.99151    0.99044    0.98928
    0.98800    0.98663    0.98512    0.98347    0.98170    0.97978
 
    0.99999    0.99998    0.99998    0.99998    0.99998    0.99998    0.99998
    0.99997    0.99995    0.99994    0.99992    0.99988    0.99983    0.99977
    0.99969    0.99960    0.99950    0.99936    0.99919    0.99901    0.99878
    0.99852    0.99821    0.99788    0.99748    0.99704    0.99654    0.99597
    0.99533    0.99463    0.99385    0.99298    0.99203    0.99098    0.98982
    0.98857    0.98720    0.98570    0.98407    0.98230    0.98039
 
 
 constant used in Pair cre. sampling with LPM
   12611.1111111111               25   2.50000000000000D-002  0.100000000000000        0.00000000000000D+000   1.00000000000000               41   4.10075335208982        3167767.88862597
 
 Al      
Pair total x-sec. with LPM
   12611.11      0.7735097    
   15876.45      0.7728119    
   19987.26      0.7728119    
   25162.47      0.7728120    
   31677.68      0.7728120    
   39879.84      0.7719666    
   50205.74      0.7723384    
   63205.28      0.7728167    
   79570.73      0.7723916    
   100173.6      0.7703854    
   126111.1      0.7661355    
   158764.5      0.7593192    
   199872.6      0.7490507    
   251624.8      0.7352284    
   316776.8      0.7178872    
   398798.3      0.6967923    
   502057.4      0.6723632    
   632052.8      0.6448967    
   795707.3      0.6149309    
   1001736.      0.5829994    
   1261111.      0.5497271    
   1587645.      0.5156597    
   1998726.      0.4813740    
   2516248.      0.4473921    
   3167768.      0.4141004    
 
 Pair table with LPM
    1.00000    0.99027    0.98040    0.97041    0.96027    0.95000    0.93960
    0.92905    0.91836    0.90752    0.89654    0.88538    0.87409    0.86265
    0.85105    0.83929    0.82737    0.81528    0.80306    0.79066    0.77810
    0.76539    0.75253    0.73951    0.72634    0.71302    0.69955    0.68595
    0.67221    0.65834    0.64437    0.63027    0.61607    0.60178    0.58740
    0.57295    0.55844    0.54387    0.52927    0.51464    0.50000
 
    1.00000    0.99021    0.98029    0.97025    0.96008    0.94976    0.93931
    0.92872    0.91798    0.90710    0.89608    0.88490    0.87357    0.86210
    0.85047    0.83868    0.82674    0.81464    0.80239    0.78999    0.77743
    0.76472    0.75185    0.73883    0.72567    0.71237    0.69892    0.68534
    0.67163    0.65779    0.64385    0.62980    0.61563    0.60139    0.58706
    0.57266    0.55820    0.54370    0.52915    0.51458    0.50000
 
    1.00000    0.99021    0.98029    0.97025    0.96008    0.94976    0.93931
    0.92872    0.91798    0.90710    0.89608    0.88490    0.87357    0.86210
    0.85047    0.83868    0.82674    0.81464    0.80239    0.78999    0.77743
    0.76472    0.75185    0.73883    0.72567    0.71237    0.69892    0.68534
    0.67163    0.65779    0.64385    0.62980    0.61563    0.60139    0.58706
    0.57266    0.55820    0.54370    0.52915    0.51458    0.50000
 
    1.00000    0.99021    0.98029    0.97025    0.96008    0.94976    0.93931
    0.92872    0.91798    0.90710    0.89608    0.88490    0.87357    0.86210
    0.85047    0.83868    0.82674    0.81464    0.80239    0.78999    0.77743
    0.76472    0.75185    0.73883    0.72567    0.71237    0.69892    0.68534
    0.67163    0.65779    0.64385    0.62980    0.61563    0.60139    0.58706
    0.57266    0.55820    0.54370    0.52915    0.51458    0.50000
 
    1.00000    0.99021    0.98029    0.97025    0.96008    0.94976    0.93931
    0.92872    0.91798    0.90710    0.89608    0.88490    0.87357    0.86210
    0.85047    0.83868    0.82674    0.81464    0.80239    0.78999    0.77743
    0.76472    0.75185    0.73883    0.72567    0.71237    0.69892    0.68534
    0.67163    0.65779    0.64385    0.62980    0.61563    0.60139    0.58706
    0.57266    0.55820    0.54370    0.52915    0.51458    0.50000
 
    1.00000    0.99023    0.98032    0.97028    0.96012    0.94982    0.93938
    0.92879    0.91808    0.90720    0.89620    0.88503    0.87373    0.86227
    0.85065    0.83887    0.82696    0.81487    0.80264    0.79025    0.77770
    0.76501    0.75216    0.73916    0.72602    0.71273    0.69931    0.68572
    0.67199    0.65810    0.64407    0.63005    0.61578    0.60156    0.58726
    0.57272    0.55829    0.54382    0.52909    0.51455    0.50000
 
    1.00000    0.99023    0.98031    0.97027    0.96011    0.94979    0.93935
    0.92876    0.91804    0.90716    0.89614    0.88497    0.87366    0.86219
    0.85056    0.83880    0.82687    0.81478    0.80253    0.79014    0.77756
    0.76478    0.75186    0.73886    0.72564    0.71236    0.69883    0.68529
    0.67162    0.65767    0.64378    0.62977    0.61546    0.60127    0.58699
    0.57265    0.55824    0.54353    0.52904    0.51453    0.50000
 
    1.00000    0.99021    0.98029    0.97025    0.96008    0.94976    0.93931
    0.92872    0.91798    0.90710    0.89608    0.88490    0.87357    0.86210
    0.85047    0.83868    0.82667    0.81452    0.80221    0.78983    0.77721
    0.76453    0.75159    0.73863    0.72551    0.71210    0.69872    0.68519
    0.67154    0.65756    0.64367    0.62967    0.61555    0.60135    0.58682
    0.57248    0.55806    0.54360    0.52909    0.51455    0.50000
 
    1.00000    0.99023    0.98031    0.97027    0.96011    0.94979    0.93934
    0.92876    0.91804    0.90716    0.89614    0.88497    0.87362    0.86213
    0.85041    0.83868    0.82671    0.81457    0.80238    0.79005    0.77743
    0.76479    0.75199    0.73889    0.72579    0.71254    0.69915    0.68543
    0.67177    0.65799    0.64407    0.63003    0.61589    0.60142    0.58711
    0.57271    0.55826    0.54374    0.52919    0.51460    0.50000
 
    1.00000    0.99024    0.98037    0.97034    0.96021    0.94993    0.93951
    0.92895    0.91825    0.90742    0.89639    0.88519    0.87394    0.86248
    0.85088    0.83920    0.82728    0.81528    0.80302    0.79073    0.77827
    0.76565    0.75272    0.73978    0.72669    0.71343    0.70002    0.68629
    0.67260    0.65877    0.64481    0.63073    0.61652    0.60221    0.58760
    0.57313    0.55859    0.54399    0.52935    0.51469    0.50000
 
    1.00000    0.99030    0.98048    0.97051    0.96043    0.95022    0.93986
    0.92936    0.91869    0.90788    0.89695    0.88589    0.87473    0.86337
    0.85192    0.84022    0.82845    0.81654    0.80433    0.79208    0.77964
    0.76704    0.75412    0.74119    0.72808    0.71481    0.70137    0.68776
    0.67384    0.65995    0.64592    0.63176    0.61747    0.60306    0.58856
    0.57396    0.55908    0.54437    0.52961    0.51481    0.50000
 
    1.00000    0.99038    0.98064    0.97079    0.96079    0.95068    0.94039
    0.92995    0.91943    0.90878    0.89797    0.88708    0.87597    0.86478
    0.85334    0.84182    0.83013    0.81826    0.80611    0.79389    0.78149
    0.76888    0.75611    0.74302    0.72989    0.71657    0.70308    0.68941
    0.67557    0.66157    0.64727    0.63298    0.61857    0.60404    0.58939
    0.57465    0.55983    0.54493    0.52998    0.51500    0.50000
 
    1.00000    0.99052    0.98092    0.97118    0.96134    0.95133    0.94122
    0.93096    0.92060    0.91016    0.89951    0.88877    0.87782    0.86674
    0.85549    0.84399    0.83237    0.82058    0.80859    0.79630    0.78393
    0.77135    0.75856    0.74559    0.73240    0.71891    0.70535    0.69160
    0.67768    0.66357    0.64930    0.63486    0.62028    0.60541    0.59059
    0.57566    0.56064    0.54554    0.53040    0.51521    0.50000
 
    1.00000    0.99070    0.98127    0.97173    0.96204    0.95223    0.94236
    0.93235    0.92220    0.91195    0.90150    0.89092    0.88010    0.86918
    0.85806    0.84666    0.83514    0.82342    0.81149    0.79934    0.78689
    0.77431    0.76153    0.74852    0.73530    0.72187    0.70822    0.69436
    0.68019    0.66595    0.65152    0.63693    0.62217    0.60726    0.59221
    0.57705    0.56179    0.54644    0.53090    0.51546    0.50000
 
    1.00000    0.99091    0.98171    0.97240    0.96296    0.95344    0.94381
    0.93404    0.92414    0.91410    0.90383    0.89344    0.88285    0.87202
    0.86103    0.84983    0.83840    0.82668    0.81481    0.80273    0.79038
    0.77781    0.76501    0.75186    0.73858    0.72507    0.71133    0.69735
    0.68316    0.66875    0.65414    0.63933    0.62425    0.60910    0.59381
    0.57839    0.56285    0.54722    0.53152    0.51577    0.50000
 
    1.00000    0.99119    0.98226    0.97321    0.96409    0.95489    0.94555
    0.93606    0.92638    0.91659    0.90659    0.89635    0.88595    0.87533
    0.86443    0.85336    0.84205    0.83050    0.81869    0.80656    0.79426
    0.78170    0.76888    0.75579    0.74245    0.72886    0.71499    0.70081
    0.68647    0.67189    0.65708    0.64206    0.62683    0.61142    0.59578
    0.58007    0.56421    0.54825    0.53222    0.51612    0.50000
 
    1.00000    0.99149    0.98289    0.97417    0.96540    0.95652    0.94749
    0.93829    0.92893    0.91935    0.90958    0.89960    0.88935    0.87891
    0.86822    0.85728    0.84603    0.83457    0.82285    0.81084    0.79858
    0.78602    0.77311    0.75999    0.74659    0.73290    0.71893    0.70468
    0.69017    0.67534    0.66031    0.64505    0.62955    0.61384    0.59794
    0.58189    0.56568    0.54937    0.53297    0.51648    0.50000
 
    1.00000    0.99184    0.98359    0.97526    0.96687    0.95832    0.94962
    0.94071    0.93165    0.92236    0.91280    0.90305    0.89304    0.88279
    0.87222    0.86143    0.85036    0.83901    0.82737    0.81538    0.80314
    0.79060    0.77775    0.76458    0.75108    0.73730    0.72321    0.70881
    0.69411    0.67912    0.66385    0.64831    0.63253    0.61650    0.60029
    0.58388    0.56729    0.55059    0.53379    0.51693    0.50000
 
    1.00000    0.99223    0.98435    0.97643    0.96842    0.96024    0.95187
    0.94331    0.93450    0.92548    0.91622    0.90670    0.89687    0.88682
    0.87647    0.86582    0.85485    0.84362    0.83205    0.82018    0.80799
    0.79543    0.78259    0.76937    0.75584    0.74195    0.72773    0.71319
    0.69830    0.68311    0.66761    0.65178    0.63571    0.61937    0.60276
    0.58598    0.56902    0.55191    0.53468    0.51734    0.50000
 
    1.00000    0.99262    0.98519    0.97768    0.97005    0.96223    0.95422
    0.94596    0.93748    0.92873    0.91970    0.91042    0.90086    0.89100
    0.88081    0.87032    0.85954    0.84841    0.83694    0.82513    0.81298
    0.80047    0.78761    0.77438    0.76077    0.74681    0.73248    0.71777
    0.70271    0.68731    0.67153    0.65545    0.63906    0.62238    0.60540
    0.58822    0.57084    0.55329    0.53561    0.51781    0.50000
 
    1.00000    0.99305    0.98605    0.97897    0.97173    0.96427    0.95658
    0.94866    0.94048    0.93200    0.92326    0.91422    0.90485    0.89521
    0.88523    0.87490    0.86425    0.85325    0.84190    0.83016    0.81808
    0.80560    0.79275    0.77947    0.76583    0.75179    0.73733    0.72248
    0.70725    0.69160    0.67559    0.65923    0.64252    0.62548    0.60813
    0.59053    0.57271    0.55471    0.53656    0.51830    0.50000
 
    1.00000    0.99348    0.98693    0.98025    0.97340    0.96630    0.95898
    0.95135    0.94346    0.93530    0.92680    0.91799    0.90888    0.89942
    0.88964    0.87949    0.86900    0.85813    0.84689    0.83526    0.82322
    0.81078    0.79794    0.78466    0.77097    0.75684    0.74228    0.72730
    0.71189    0.69603    0.67978    0.66312    0.64609    0.62870    0.61098
    0.59294    0.57467    0.55619    0.53756    0.51880    0.50000
 
    1.00000    0.99392    0.98780    0.98153    0.97506    0.96832    0.96130
    0.95402    0.94642    0.93850    0.93029    0.92173    0.91285    0.90360
    0.89400    0.88404    0.87370    0.86297    0.85184    0.84029    0.82835
    0.81596    0.80312    0.78985    0.77612    0.76193    0.74726    0.73214
    0.71656    0.70052    0.68402    0.66706    0.64972    0.63197    0.61386
    0.59542    0.57670    0.55775    0.53858    0.51932    0.50000
 
    1.00000    0.99435    0.98866    0.98278    0.97666    0.97027    0.96358
    0.95660    0.94929    0.94166    0.93368    0.92536    0.91671    0.90768
    0.89828    0.88848    0.87830    0.86770    0.85670    0.84525    0.83337
    0.82104    0.80822    0.79496    0.78120    0.76696    0.75221    0.73695
    0.72121    0.70497    0.68824    0.67102    0.65336    0.63523    0.61673
    0.59787    0.57870    0.55926    0.53962    0.51985    0.50000
 
    1.00000    0.99477    0.98948    0.98399    0.97822    0.97215    0.96577
    0.95907    0.95205    0.94468    0.93696    0.92889    0.92043    0.91161
    0.90240    0.89278    0.88276    0.87231    0.86143    0.85009    0.83828
    0.82601    0.81324    0.79996    0.78620    0.77190    0.75708    0.74173
    0.72583    0.70938    0.69242    0.67495    0.65699    0.63854    0.61966
    0.60038    0.58075    0.56083    0.54066    0.52037    0.50000
 
 
# ************muon tab*********************** 
#     This table  has been made by using ../../Data/BaseM/Al 
#     with nuclear interaction formula: 1
#     2003ǯ  6 24  01:20:43 JST by KASAHARA using 
#      version uv8.00  
# 
-------------------------------------------
 constant used in muon pair creation sampling
   1.00000000000000D-004  0.100000000000000       0.200000000000000        12.6827011144161        80022.4341598796        1.00000000000000D-002         101          20          39   80022.4341598796
 
 Al      
 Muon pair cre. total X-sec. table (Prob./X0) upto E=   80022.4341598798       GeV
   12.68270       5.738591E-03
   15.96657       6.881973E-03
   20.10073       8.165088E-03
   25.30532       9.568843E-03
   31.85750       1.104438E-02
   40.10622       1.256671E-02
   50.49074       1.411660E-02
   63.56408       1.567809E-02
   80.02243       1.723735E-02
   100.7423       1.878203E-02
   126.8270       2.030098E-02
   159.6657       2.178408E-02
   201.0073       2.322211E-02
   253.0532       2.460683E-02
   318.5750       2.593088E-02
   401.0622       2.718798E-02
   504.9074       2.837287E-02
   635.6408       2.948147E-02
   800.2244       3.051093E-02
   1007.423       3.145962E-02
   1268.270       3.232720E-02
   1596.657       3.311459E-02
   2010.073       3.382383E-02
   2530.531       3.445800E-02
   3185.750       3.502105E-02
   4010.622       3.551759E-02
   5049.074       3.595270E-02
   6356.408       3.633169E-02
   8002.244       3.665998E-02
   10074.23       3.694288E-02
   12682.70       3.718548E-02
   15966.58       3.739260E-02
   20100.73       3.756869E-02
   25305.32       3.771780E-02
   31857.50       3.784359E-02
   40106.22       3.794931E-02
   50490.74       3.803785E-02
   63564.08       3.811172E-02
   80022.44       3.817314E-02
 
 Al      
dE/dx(v<vmin)/Emu (/(g/cm2))by muon pair cre.
   12.68270       0.000000E+00
   15.96657       0.000000E+00
   20.10073       0.000000E+00
   25.30532       1.101281E-10
   31.85750       5.078875E-10
   40.10622       1.242347E-09
   50.49074       2.325282E-09
   63.56408       3.748140E-09
   80.02243       5.490825E-09
   100.7423       7.526724E-09
   126.8270       9.825803E-09
   159.6657       1.235654E-08
   201.0073       1.508711E-08
   253.0532       1.798605E-08
   318.5750       2.102266E-08
   401.0622       2.416706E-08
   504.9074       2.739022E-08
   635.6408       3.066391E-08
   800.2244       3.396063E-08
   1007.423       3.725366E-08
   1268.270       4.051713E-08
   1596.657       4.372625E-08
   2010.073       4.685766E-08
   2530.531       4.988983E-08
   3185.750       5.280352E-08
   4010.622       5.558219E-08
   5049.074       5.821238E-08
   6356.408       6.068388E-08
   8002.244       6.298986E-08
   10074.23       6.512676E-08
   12682.70       6.709406E-08
   15966.58       6.889397E-08
   20100.73       7.053109E-08
   25305.32       7.201184E-08
   31857.50       7.334417E-08
   40106.22       7.453707E-08
   50490.74       7.560018E-08
   63564.08       7.654352E-08
   80022.44       7.737714E-08
 
 Al      
dE/dx(v<vmax)/Emu (/(g/cm2))by muon pair cre.
   12.68270       9.210086E-07
   15.96657       1.017968E-06
   20.10073       1.115798E-06
   25.30532       1.213814E-06
   31.85750       1.311347E-06
   40.10622       1.407722E-06
   50.49074       1.502279E-06
   63.56408       1.594391E-06
   80.02243       1.683453E-06
   100.7423       1.768921E-06
   126.8270       1.850312E-06
   159.6657       1.927229E-06
   201.0073       1.999364E-06
   253.0532       2.066508E-06
   318.5750       2.128549E-06
   401.0622       2.185468E-06
   504.9074       2.237332E-06
   635.6408       2.284279E-06
   800.2244       2.326510E-06
   1007.423       2.364273E-06
   1268.270       2.397849E-06
   1596.657       2.427543E-06
   2010.073       2.453672E-06
   2530.531       2.476555E-06
   3185.750       2.496508E-06
   4010.622       2.513834E-06
   5049.074       2.528822E-06
   6356.408       2.541741E-06
   8002.244       2.552842E-06
   10074.23       2.562352E-06
   12682.70       2.570476E-06
   15966.58       2.577399E-06
   20100.73       2.583284E-06
   25305.32       2.588275E-06
   31857.50       2.592500E-06
   40106.22       2.596070E-06
   50490.74       2.599080E-06
   63564.08       2.601615E-06
   80022.44       2.603746E-06
 
 constant used in muon Brems sampling
   1.00000000000000D-004  0.100000000000000       0.200000000000000        18.1181444491658        72129.6322233696        1.00000000000000D-002         101          19          38   90805.8269493675
 
 Al      
 Muon brems total X-sec. table (Prob./X0) upto E=   90805.8269493677       GeV
   18.11814       4.449986E-04
   22.80939       4.511312E-04
   28.71532       4.569208E-04
   36.15045       4.623716E-04
   45.51072       4.674923E-04
   57.29461       4.722923E-04
   72.12963       4.767725E-04
   90.80582       4.809407E-04
   114.3178       4.848056E-04
   143.9175       4.883769E-04
   181.1814       4.916652E-04
   228.0939       4.946817E-04
   287.1532       4.974385E-04
   361.5045       4.999484E-04
   455.1072       5.022245E-04
   572.9460       5.042807E-04
   721.2963       5.061306E-04
   908.0583       5.077886E-04
   1143.178       5.092687E-04
   1439.175       5.105847E-04
   1811.814       5.117503E-04
   2280.939       5.127788E-04
   2871.532       5.136827E-04
   3615.045       5.144743E-04
   4551.072       5.151650E-04
   5729.460       5.157654E-04
   7212.963       5.162856E-04
   9080.583       5.167347E-04
   11431.78       5.171211E-04
   14391.75       5.174526E-04
   18118.14       5.177360E-04
   22809.39       5.179776E-04
   28715.32       5.181830E-04
   36150.45       5.183570E-04
   45510.72       5.185042E-04
   57294.60       5.186283E-04
   72129.63       5.187326E-04
   90805.83       5.188202E-04
 
 Al      
dE/dx(v<vmin)/Emu (/(g/cm2))by muon brems
   18.11814       2.517875E-10
   22.80939       2.518118E-10
   28.71532       2.518312E-10
   36.15045       2.518466E-10
   45.51072       2.518588E-10
   57.29461       2.518686E-10
   72.12963       2.518763E-10
   90.80582       2.518824E-10
   114.3178       2.518873E-10
   143.9175       2.518912E-10
   181.1814       2.518943E-10
   228.0939       2.518967E-10
   287.1532       2.518987E-10
   361.5045       2.519002E-10
   455.1072       2.519014E-10
   572.9460       2.519024E-10
   721.2963       2.519032E-10
   908.0583       2.519038E-10
   1143.178       2.519043E-10
   1439.175       2.519047E-10
   1811.814       2.519050E-10
   2280.939       2.519052E-10
   2871.532       2.519054E-10
   3615.045       2.519056E-10
   4551.072       2.519057E-10
   5729.460       2.519058E-10
   7212.963       2.519059E-10
   9080.583       2.519059E-10
   11431.78       2.519060E-10
   14391.75       2.519060E-10
   18118.14       2.519061E-10
   22809.39       2.519061E-10
   28715.32       2.519061E-10
   36150.45       2.519061E-10
   45510.72       2.519061E-10
   57294.60       2.519061E-10
   72129.63       2.519061E-10
   90805.83       2.519061E-10
 
 Al      
dE/dx(v<vmax)/Emu (/(g/cm2))by muon brems
   18.11814       9.367383E-07
   22.80939       9.843684E-07
   28.71532       1.031562E-06
   36.15045       1.078222E-06
   45.51072       1.124635E-06
   57.29461       1.170432E-06
   72.12963       1.215424E-06
   90.80582       1.259500E-06
   114.3178       1.302547E-06
   143.9175       1.344450E-06
   181.1814       1.385093E-06
   228.0939       1.424365E-06
   287.1532       1.462158E-06
   361.5045       1.498371E-06
   455.1072       1.532911E-06
   572.9460       1.565701E-06
   721.2963       1.596674E-06
   908.0583       1.625781E-06
   1143.178       1.652990E-06
   1439.175       1.678286E-06
   1811.814       1.701676E-06
   2280.939       1.723183E-06
   2871.532       1.742847E-06
   3615.045       1.760727E-06
   4551.072       1.776893E-06
   5729.460       1.791430E-06
   7212.963       1.804430E-06
   9080.583       1.815995E-06
   11431.78       1.826230E-06
   14391.75       1.835241E-06
   18118.14       1.843137E-06
   22809.39       1.850023E-06
   28715.32       1.856002E-06
   36150.45       1.861170E-06
   45510.72       1.865619E-06
   57294.60       1.869435E-06
   72129.63       1.872694E-06
   90805.83       1.875469E-06
 
 constant used in muon Nuc. int. sampling
   1.00000000000000D-004  0.100000000000000       0.200000000000000        33.3782087205047        83842.2695931305        1.00000000000000D-002         101          18          35   83842.2695931305
 
 Al      
 Muon Nuc. Int. total X-sec. table (Prob./X0) upto E=   83842.2695931306       GeV
   33.37821       7.557227E-05
   42.02068       8.358211E-05
   52.90089       9.193638E-05
   66.59828       1.009768E-04
   83.84227       1.094327E-04
   105.5512       1.198642E-04
   132.8810       1.287001E-04
   167.2873       1.386106E-04
   210.6023       1.488918E-04
   265.1325       1.595150E-04
   333.7821       1.709918E-04
   420.2068       1.816115E-04
   529.0090       1.947567E-04
   665.9828       2.058614E-04
   838.4227       2.182349E-04
   1055.512       2.310922E-04
   1328.810       2.443112E-04
   1672.873       2.585468E-04
   2106.023       2.716922E-04
   2651.325       2.878675E-04
   3337.821       3.016223E-04
   4202.067       3.167892E-04
   5290.089       3.325560E-04
   6659.828       3.486846E-04
   8384.227       3.554351E-04
   10555.12       3.488569E-04
   13288.10       3.451210E-04
   16728.73       3.444712E-04
   21060.23       3.439835E-04
   26513.25       3.437578E-04
   33378.21       3.438959E-04
   42020.68       3.443966E-04
   52900.89       3.452932E-04
   66598.28       3.465003E-04
   83842.27       3.481630E-04
 
    1.79731536202509D-002  = power of energy dependence at higher energies
 Al      
dE/dx(v<vmin)/Emu (/(g/cm2))by muon Nuc. int
   33.37821       0.000000E+00
   42.02068       0.000000E+00
   52.90089       0.000000E+00
   66.59828       0.000000E+00
   83.84227       0.000000E+00
   105.5512       0.000000E+00
   132.8810       0.000000E+00
   167.2873       0.000000E+00
   210.6023       1.403621E-24
   265.1325       0.000000E+00
   333.7821       0.000000E+00
   420.2068       0.000000E+00
   529.0090       0.000000E+00
   665.9828       0.000000E+00
   838.4227       0.000000E+00
   1055.512       0.000000E+00
   1328.810       0.000000E+00
   1672.873       2.272952E-25
   2106.023       0.000000E+00
   2651.325       0.000000E+00
   3337.821       0.000000E+00
   4202.067       0.000000E+00
   5290.089       0.000000E+00
   6659.828       0.000000E+00
   8384.227       3.945783E-11
   10555.12       1.196083E-10
   13288.10       1.724843E-10
   16728.73       2.048752E-10
   21060.23       2.307997E-10
   26513.25       2.510817E-10
   33378.21       2.668009E-10
   42020.68       2.781226E-10
   52900.89       2.866721E-10
   66598.28       2.926803E-10
   83842.27       2.965460E-10
 
    7.35332293472167D-002  = power of energy dependence at higher energies
 Al      
dE/dx(v<vmax)/Emu (/(g/cm2))by muon Nuc. int
   33.37821       3.865036E-07
   42.02068       3.879409E-07
   52.90089       3.884997E-07
   66.59828       3.884501E-07
   83.84227       3.881988E-07
   105.5512       3.880162E-07
   132.8810       3.880637E-07
   167.2873       3.884963E-07
   210.6023       3.894592E-07
   265.1325       3.910561E-07
   333.7821       3.932694E-07
   420.2068       3.960660E-07
   529.0090       3.994033E-07
   665.9828       4.032270E-07
   838.4227       4.074834E-07
   1055.512       4.121138E-07
   1328.810       4.170637E-07
   1672.873       4.222824E-07
   2106.023       4.277244E-07
   2651.325       4.333492E-07
   3337.821       4.391216E-07
   4202.067       4.450111E-07
   5290.089       4.509917E-07
   6659.828       4.570414E-07
   8384.227       4.631416E-07
   10555.12       4.692769E-07
   13288.10       4.754343E-07
   16728.73       4.816031E-07
   21060.23       4.877747E-07
   26513.25       4.939417E-07
   33378.21       5.000983E-07
   42020.68       5.062399E-07
   52900.89       5.123624E-07
   66598.28       5.184630E-07
   83842.27       5.245392E-07
 
    5.10033565072947D-002  = power of energy dependence at higher energies
 muon nuc. int.  sampling table
   -1.63810   -1.37813   -1.18640   -1.05503   -0.95715   -0.88020   -0.81755
   -0.76524   -0.72058   -0.68179   -0.64761   -0.61714   -0.58970   -0.56479
   -0.54200   -0.52103   -0.50161   -0.48354   -0.46666   -0.45082   -0.43591
   -0.42182   -0.40848   -0.39585   -0.38388   -0.37251   -0.36168   -0.35134
   -0.34147   -0.33201   -0.32295   -0.31424   -0.30587   -0.29781   -0.29004
   -0.28254   -0.27529   -0.26828   -0.26149   -0.25492   -0.24854   -0.24234
   -0.23633   -0.23047   -0.22478   -0.21923   -0.21383   -0.20856   -0.20341
   -0.19839   -0.19348   -0.18868   -0.18398   -0.17939   -0.17488   -0.17047
   -0.16614   -0.16190   -0.15773   -0.15364   -0.14961   -0.14566   -0.14177
   -0.13794   -0.13417   -0.13045   -0.12679   -0.12318   -0.11961   -0.11609
   -0.11261   -0.10917   -0.10577   -0.10240   -0.09907   -0.09576   -0.09248
   -0.08923   -0.08600   -0.08278   -0.07958   -0.07639   -0.07322   -0.07004
   -0.06687   -0.06369   -0.06051   -0.05731   -0.05409   -0.05084   -0.04756
   -0.04421   -0.04081   -0.03731   -0.03367   -0.02995   -0.02555   -0.02116
   -0.01725   -0.01195   -0.00138
 
   -1.83810   -1.54223   -1.32924   -1.18295   -1.07379   -0.98817   -0.91861
   -0.86043   -0.81067   -0.76735   -0.72906   -0.69483   -0.66389   -0.63569
   -0.60979   -0.58598   -0.56403   -0.54370   -0.52478   -0.50709   -0.49051
   -0.47492   -0.46020   -0.44627   -0.43306   -0.42050   -0.40854   -0.39712
   -0.38619   -0.37573   -0.36569   -0.35604   -0.34675   -0.33781   -0.32917
   -0.32083   -0.31277   -0.30496   -0.29740   -0.29006   -0.28294   -0.27602
   -0.26928   -0.26273   -0.25635   -0.25013   -0.24406   -0.23814   -0.23235
   -0.22670   -0.22116   -0.21575   -0.21045   -0.20526   -0.20017   -0.19517
   -0.19027   -0.18546   -0.18073   -0.17608   -0.17151   -0.16701   -0.16258
   -0.15822   -0.15392   -0.14968   -0.14550   -0.14137   -0.13729   -0.13326
   -0.12928   -0.12534   -0.12144   -0.11758   -0.11375   -0.10995   -0.10618
   -0.10244   -0.09872   -0.09502   -0.09134   -0.08767   -0.08401   -0.08035
   -0.07669   -0.07303   -0.06936   -0.06567   -0.06196   -0.05821   -0.05442
   -0.05057   -0.04664   -0.04262   -0.03848   -0.03411   -0.02959   -0.02399
   -0.01903   -0.01354   -0.00087
 
   -2.03810   -1.70667   -1.47211   -1.31056   -1.18998   -1.09555   -1.01864
   -0.95408   -0.89864   -0.85014   -0.80705   -0.76864   -0.73422   -0.70311
   -0.67478   -0.64881   -0.62487   -0.60270   -0.58205   -0.56277   -0.54467
   -0.52765   -0.51158   -0.49637   -0.48193   -0.46820   -0.45512   -0.44262
   -0.43066   -0.41919   -0.40818   -0.39759   -0.38740   -0.37757   -0.36807
   -0.35889   -0.35001   -0.34141   -0.33306   -0.32496   -0.31708   -0.30942
   -0.30197   -0.29471   -0.28763   -0.28072   -0.27397   -0.26738   -0.26093
   -0.25462   -0.24845   -0.24240   -0.23647   -0.23065   -0.22494   -0.21933
   -0.21382   -0.20841   -0.20308   -0.19784   -0.19269   -0.18761   -0.18261
   -0.17769   -0.17284   -0.16805   -0.16333   -0.15867   -0.15406   -0.14951
   -0.14501   -0.14056   -0.13615   -0.13179   -0.12746   -0.12317   -0.11892
   -0.11469   -0.11049   -0.10631   -0.10215   -0.09800   -0.09387   -0.08974
   -0.08562   -0.08149   -0.07735   -0.07319   -0.06901   -0.06479   -0.06053
   -0.05620   -0.05179   -0.04728   -0.04263   -0.03781   -0.03268   -0.02702
   -0.02055   -0.01478   -0.00055
 
   -2.23810   -1.87127   -1.61475   -1.43746   -1.30531   -1.20145   -1.11639
   -1.04455   -0.98254   -0.92886   -0.88182   -0.84010   -0.80272   -0.76893
   -0.73816   -0.70995   -0.68394   -0.65984   -0.63740   -0.61641   -0.59673
   -0.57819   -0.56068   -0.54410   -0.52835   -0.51336   -0.49906   -0.48539
   -0.47229   -0.45973   -0.44765   -0.43603   -0.42482   -0.41400   -0.40354
   -0.39342   -0.38364   -0.37415   -0.36496   -0.35605   -0.34738   -0.33896
   -0.33077   -0.32279   -0.31501   -0.30743   -0.30003   -0.29280   -0.28573
   -0.27882   -0.27205   -0.26543   -0.25893   -0.25257   -0.24633   -0.24020
   -0.23418   -0.22827   -0.22245   -0.21673   -0.21110   -0.20556   -0.20010
   -0.19472   -0.18941   -0.18418   -0.17901   -0.17391   -0.16886   -0.16388
   -0.15894   -0.15406   -0.14923   -0.14444   -0.13969   -0.13498   -0.13031
   -0.12566   -0.12105   -0.11645   -0.11188   -0.10732   -0.10278   -0.09824
   -0.09370   -0.08916   -0.08461   -0.08003   -0.07543   -0.07080   -0.06611
   -0.06135   -0.05651   -0.05156   -0.04645   -0.04115   -0.03555   -0.02960
   -0.02212   -0.01582   -0.00035
 
   -2.43810   -2.03585   -1.75692   -1.56354   -1.41911   -1.30481   -1.21037
   -1.13099   -1.06365   -1.00549   -0.95452   -0.90931   -0.86877   -0.83212
   -0.79872   -0.76808   -0.73981   -0.71358   -0.68914   -0.66627   -0.64478
   -0.62453   -0.60537   -0.58722   -0.57001   -0.55366   -0.53808   -0.52322
   -0.50901   -0.49539   -0.48233   -0.46978   -0.45769   -0.44605   -0.43481
   -0.42395   -0.41345   -0.40328   -0.39342   -0.38384   -0.37455   -0.36551
   -0.35671   -0.34814   -0.33979   -0.33164   -0.32369   -0.31591   -0.30832
   -0.30089   -0.29361   -0.28648   -0.27950   -0.27265   -0.26593   -0.25933
   -0.25285   -0.24648   -0.24021   -0.23404   -0.22798   -0.22200   -0.21611
   -0.21030   -0.20457   -0.19892   -0.19334   -0.18782   -0.18237   -0.17698
   -0.17165   -0.16637   -0.16114   -0.15596   -0.15082   -0.14572   -0.14066
   -0.13563   -0.13063   -0.12565   -0.12070   -0.11576   -0.11084   -0.10592
   -0.10100   -0.09608   -0.09115   -0.08619   -0.08121   -0.07619   -0.07111
   -0.06596   -0.06072   -0.05537   -0.04985   -0.04413   -0.03813   -0.03165
   -0.02372   -0.01664   -0.00022
 
   -2.63810   -2.20021   -1.89823   -1.68828   -1.53047   -1.40423   -1.30084
   -1.21505   -1.14223   -1.07929   -1.02408   -0.97504   -0.93104   -0.89119
   -0.85482   -0.82141   -0.79053   -0.76195   -0.73541   -0.71065   -0.68746
   -0.66569   -0.64516   -0.62577   -0.60739   -0.58993   -0.57331   -0.55745
   -0.54229   -0.52777   -0.51385   -0.50047   -0.48760   -0.47519   -0.46322
   -0.45166   -0.44047   -0.42964   -0.41914   -0.40895   -0.39906   -0.38944
   -0.38007   -0.37096   -0.36207   -0.35340   -0.34494   -0.33667   -0.32859
   -0.32068   -0.31294   -0.30536   -0.29793   -0.29064   -0.28349   -0.27646
   -0.26957   -0.26279   -0.25612   -0.24956   -0.24310   -0.23674   -0.23047
   -0.22429   -0.21819   -0.21217   -0.20623   -0.20036   -0.19456   -0.18882
   -0.18314   -0.17752   -0.17195   -0.16642   -0.16095   -0.15551   -0.15011
   -0.14474   -0.13941   -0.13410   -0.12881   -0.12354   -0.11827   -0.11302
   -0.10776   -0.10250   -0.09723   -0.09193   -0.08660   -0.08123   -0.07580
   -0.07030   -0.06469   -0.05897   -0.05307   -0.04696   -0.04053   -0.03362
   -0.02547   -0.01737   -0.00014
 
   -2.83810   -2.36422   -2.03844   -1.81116   -1.63841   -1.50036   -1.38889
   -1.29627   -1.21754   -1.14937   -1.08946   -1.03613   -0.98817   -0.94487
   -0.90558   -0.86969   -0.83670   -0.80623   -0.77795   -0.75159   -0.72692
   -0.70377   -0.68197   -0.66138   -0.64188   -0.62337   -0.60576   -0.58896
   -0.57292   -0.55757   -0.54285   -0.52871   -0.51512   -0.50203   -0.48941
   -0.47722   -0.46543   -0.45403   -0.44298   -0.43226   -0.42185   -0.41174
   -0.40191   -0.39233   -0.38300   -0.37390   -0.36502   -0.35634   -0.34785
   -0.33955   -0.33142   -0.32345   -0.31565   -0.30799   -0.30047   -0.29309
   -0.28583   -0.27870   -0.27168   -0.26477   -0.25796   -0.25126   -0.24465
   -0.23813   -0.23169   -0.22533   -0.21905   -0.21285   -0.20671   -0.20063
   -0.19462   -0.18866   -0.18276   -0.17690   -0.17109   -0.16532   -0.15959
   -0.15389   -0.14822   -0.14258   -0.13696   -0.13135   -0.12575   -0.12016
   -0.11457   -0.10896   -0.10335   -0.09770   -0.09203   -0.08630   -0.08052
   -0.07465   -0.06868   -0.06257   -0.05629   -0.04978   -0.04294   -0.03560
   -0.02740   -0.01806   -0.00009
 
   -3.03810   -2.52774   -2.17751   -1.93161   -1.74260   -1.59408   -1.47401
   -1.37401   -1.28877   -1.21475   -1.14969   -1.09225   -1.04102   -0.99493
   -0.95314   -0.91502   -0.88002   -0.84773   -0.81780   -0.78993   -0.76389
   -0.73947   -0.71651   -0.69484   -0.67434   -0.65491   -0.63645   -0.61886
   -0.60208   -0.58603   -0.57066   -0.55590   -0.54171   -0.52804   -0.51487
   -0.50214   -0.48984   -0.47794   -0.46640   -0.45521   -0.44434   -0.43377
   -0.42349   -0.41347   -0.40371   -0.39418   -0.38489   -0.37580   -0.36691
   -0.35822   -0.34970   -0.34136   -0.33317   -0.32515   -0.31726   -0.30952
   -0.30191   -0.29442   -0.28705   -0.27979   -0.27264   -0.26560   -0.25865
   -0.25179   -0.24502   -0.23833   -0.23172   -0.22518   -0.21871   -0.21231
   -0.20597   -0.19969   -0.19345   -0.18727   -0.18114   -0.17504   -0.16899
   -0.16296   -0.15697   -0.15099   -0.14504   -0.13911   -0.13318   -0.12725
   -0.12133   -0.11539   -0.10943   -0.10345   -0.09742   -0.09135   -0.08521
   -0.07898   -0.07264   -0.06616   -0.05950   -0.05259   -0.04533   -0.03759
   -0.02905   -0.01874   -0.00005
 
   -3.23810   -2.69067   -2.31521   -2.04897   -1.84450   -1.68502   -1.55567
   -1.44756   -1.35519   -1.27572   -1.20651   -1.14552   -1.09121   -1.04243
   -0.99829   -0.95808   -0.92125   -0.88732   -0.85593   -0.82676   -0.79956
   -0.77409   -0.75014   -0.72757   -0.70622   -0.68598   -0.66675   -0.64842
   -0.63093   -0.61420   -0.59817   -0.58278   -0.56798   -0.55374   -0.54000
   -0.52674   -0.51392   -0.50150   -0.48947   -0.47780   -0.46646   -0.45544
   -0.44472   -0.43427   -0.42409   -0.41415   -0.40445   -0.39496   -0.38569
   -0.37661   -0.36772   -0.35900   -0.35045   -0.34206   -0.33382   -0.32573
   -0.31777   -0.30994   -0.30223   -0.29463   -0.28715   -0.27977   -0.27249
   -0.26530   -0.25821   -0.25119   -0.24426   -0.23740   -0.23061   -0.22389
   -0.21722   -0.21062   -0.20407   -0.19757   -0.19112   -0.18470   -0.17832
   -0.17198   -0.16566   -0.15937   -0.15309   -0.14683   -0.14057   -0.13432
   -0.12806   -0.12179   -0.11550   -0.10917   -0.10280   -0.09638   -0.08989
   -0.08330   -0.07660   -0.06974   -0.06269   -0.05539   -0.04773   -0.03954
   -0.03050   -0.01943   -0.00003
 
   -3.43810   -2.85292   -2.45130   -2.16287   -1.94398   -1.77278   -1.63330
   -1.51670   -1.41841   -1.33418   -1.26098   -1.19661   -1.13945   -1.08824
   -1.04202   -1.00004   -0.96165   -0.92633   -0.89366   -0.86330   -0.83497
   -0.80843   -0.78350   -0.75999   -0.73776   -0.71669   -0.69667   -0.67760
   -0.65939   -0.64198   -0.62530   -0.60929   -0.59390   -0.57908   -0.56479
   -0.55100   -0.53766   -0.52474   -0.51223   -0.50009   -0.48829   -0.47683
   -0.46567   -0.45480   -0.44420   -0.43386   -0.42376   -0.41388   -0.40423
   -0.39477   -0.38551   -0.37643   -0.36753   -0.35878   -0.35020   -0.34176
   -0.33346   -0.32529   -0.31725   -0.30932   -0.30151   -0.29381   -0.28620
   -0.27870   -0.27128   -0.26395   -0.25670   -0.24952   -0.24242   -0.23538
   -0.22841   -0.22149   -0.21463   -0.20781   -0.20104   -0.19431   -0.18762
   -0.18096   -0.17433   -0.16771   -0.16112   -0.15453   -0.14796   -0.14138
   -0.13479   -0.12818   -0.12156   -0.11489   -0.10818   -0.10141   -0.09457
   -0.08762   -0.08055   -0.07332   -0.06589   -0.05819   -0.05011   -0.04148
   -0.03196   -0.02016   -0.00002
 
   -3.63810   -3.01445   -2.58552   -2.27465   -2.04077   -1.85692   -1.70695
   -1.58334   -1.47947   -1.39072   -1.31385   -1.24648   -1.18687   -1.13358
   -1.08551   -1.04182   -1.00185   -0.96508   -0.93108   -0.89949   -0.87003
   -0.84243   -0.81650   -0.79207   -0.76897   -0.74707   -0.72626   -0.70645
   -0.68754   -0.66946   -0.65214   -0.63551   -0.61953   -0.60414   -0.58930
   -0.57498   -0.56113   -0.54772   -0.53473   -0.52212   -0.50987   -0.49797
   -0.48638   -0.47510   -0.46409   -0.45335   -0.44286   -0.43260   -0.42257
   -0.41275   -0.40312   -0.39369   -0.38443   -0.37534   -0.36641   -0.35764
   -0.34900   -0.34050   -0.33213   -0.32389   -0.31575   -0.30773   -0.29981
   -0.29199   -0.28426   -0.27662   -0.26905   -0.26157   -0.25416   -0.24681
   -0.23953   -0.23230   -0.22513   -0.21801   -0.21093   -0.20389   -0.19689
   -0.18992   -0.18297   -0.17604   -0.16913   -0.16223   -0.15533   -0.14843
   -0.14151   -0.13458   -0.12762   -0.12062   -0.11357   -0.10645   -0.09925
   -0.09195   -0.08451   -0.07691   -0.06909   -0.06099   -0.05249   -0.04343
   -0.03342   -0.02092   -0.00001
 
   -3.83810   -3.17518   -2.71759   -2.38437   -2.13459   -1.93723   -1.77840
   -1.64810   -1.53902   -1.44622   -1.36619   -1.29617   -1.23418   -1.17874
   -1.12874   -1.08331   -1.04176   -1.00355   -0.96822   -0.93541   -0.90481
   -0.87616   -0.84924   -0.82388   -0.79990   -0.77718   -0.75560   -0.73505
   -0.71543   -0.69668   -0.67872   -0.66148   -0.64491   -0.62896   -0.61358
   -0.59873   -0.58437   -0.57048   -0.55701   -0.54394   -0.53125   -0.51891
   -0.50690   -0.49520   -0.48379   -0.47266   -0.46178   -0.45115   -0.44075
   -0.43056   -0.42058   -0.41080   -0.40119   -0.39176   -0.38250   -0.37339
   -0.36443   -0.35560   -0.34691   -0.33835   -0.32990   -0.32156   -0.31333
   -0.30520   -0.29716   -0.28921   -0.28135   -0.27356   -0.26584   -0.25819
   -0.25061   -0.24308   -0.23560   -0.22818   -0.22080   -0.21345   -0.20614
   -0.19886   -0.19161   -0.18437   -0.17714   -0.16992   -0.16271   -0.15548
   -0.14824   -0.14098   -0.13369   -0.12635   -0.11896   -0.11150   -0.10395
   -0.09629   -0.08849   -0.08051   -0.07230   -0.06380   -0.05488   -0.04538
   -0.03489   -0.02175   -0.00001
 
   -4.00000   -3.28826   -2.80338   -2.45250   -2.18869   -1.98229   -1.81800
   -1.68395   -1.57241   -1.47779   -1.39610   -1.32459   -1.26128   -1.20466
   -1.15359   -1.10720   -1.06478   -1.02576   -0.98969   -0.95618   -0.92494
   -0.89569   -0.86822   -0.84233   -0.81786   -0.79467   -0.77264   -0.75167
   -0.73166   -0.71252   -0.69419   -0.67660   -0.65969   -0.64342   -0.62772
   -0.61257   -0.59793   -0.58375   -0.57001   -0.55668   -0.54373   -0.53114
   -0.51888   -0.50695   -0.49530   -0.48394   -0.47284   -0.46199   -0.45138
   -0.44098   -0.43079   -0.42080   -0.41100   -0.40137   -0.39191   -0.38261
   -0.37346   -0.36445   -0.35557   -0.34682   -0.33819   -0.32967   -0.32126
   -0.31295   -0.30473   -0.29660   -0.28856   -0.28059   -0.27270   -0.26488
   -0.25711   -0.24941   -0.24176   -0.23415   -0.22659   -0.21907   -0.21158
   -0.20412   -0.19668   -0.18926   -0.18185   -0.17445   -0.16705   -0.15963
   -0.15220   -0.14475   -0.13726   -0.12973   -0.12214   -0.11447   -0.10671
   -0.09884   -0.09082   -0.08262   -0.07418   -0.06544   -0.05628   -0.04651
   -0.03576   -0.02270   -0.00001
 
   -4.00000   -3.23282   -2.73127   -2.37702   -2.11374   -1.91297   -1.75495
   -1.62675   -1.51994   -1.42912   -1.35062   -1.28184   -1.22088   -1.16632
   -1.11709   -1.07232   -1.03137   -0.99368   -0.95882   -0.92643   -0.89621
   -0.86791   -0.84131   -0.81624   -0.79254   -0.77007   -0.74872   -0.72839
   -0.70898   -0.69042   -0.67264   -0.65557   -0.63917   -0.62337   -0.60814
   -0.59343   -0.57920   -0.56543   -0.55209   -0.53914   -0.52656   -0.51433
   -0.50243   -0.49083   -0.47952   -0.46848   -0.45769   -0.44715   -0.43683
   -0.42673   -0.41683   -0.40713   -0.39760   -0.38825   -0.37906   -0.37003
   -0.36114   -0.35239   -0.34377   -0.33527   -0.32689   -0.31862   -0.31045
   -0.30239   -0.29442   -0.28653   -0.27873   -0.27100   -0.26335   -0.25576
   -0.24824   -0.24077   -0.23336   -0.22599   -0.21867   -0.21139   -0.20414
   -0.19693   -0.18973   -0.18256   -0.17539   -0.16824   -0.16108   -0.15392
   -0.14675   -0.13956   -0.13233   -0.12506   -0.11774   -0.11035   -0.10287
   -0.09528   -0.08755   -0.07965   -0.07152   -0.06310   -0.05428   -0.04487
   -0.03451   -0.02200    0.00000
 
   -4.00000   -3.20829   -2.69218   -2.33219   -2.07225   -1.87654   -1.72268
   -1.59757   -1.49322   -1.40441   -1.32758   -1.26022   -1.20049   -1.14700
   -1.09871   -1.05479   -1.01459   -0.97759   -0.94335   -0.91153   -0.88183
   -0.85401   -0.82786   -0.80321   -0.77990   -0.75779   -0.73679   -0.71678
   -0.69768   -0.67941   -0.66191   -0.64510   -0.62895   -0.61339   -0.59839
   -0.58390   -0.56989   -0.55633   -0.54318   -0.53042   -0.51803   -0.50598
   -0.49425   -0.48282   -0.47167   -0.46080   -0.45017   -0.43978   -0.42961
   -0.41966   -0.40991   -0.40034   -0.39096   -0.38174   -0.37269   -0.36378
   -0.35502   -0.34640   -0.33791   -0.32954   -0.32128   -0.31314   -0.30509
   -0.29715   -0.28930   -0.28153   -0.27385   -0.26624   -0.25871   -0.25124
   -0.24384   -0.23649   -0.22919   -0.22195   -0.21475   -0.20758   -0.20045
   -0.19336   -0.18628   -0.17923   -0.17219   -0.16515   -0.15812   -0.15109
   -0.14404   -0.13697   -0.12988   -0.12274   -0.11555   -0.10829   -0.10095
   -0.09350   -0.08592   -0.07816   -0.07019   -0.06193   -0.05327   -0.04404
   -0.03387   -0.02165    0.00000
 
   -4.00000   -3.17668   -2.64867   -2.29094   -2.03712   -1.84606   -1.69555
   -1.57302   -1.47072   -1.38359   -1.30817   -1.24201   -1.18330   -1.13072
   -1.08322   -1.04001   -1.00044   -0.96401   -0.93030   -0.89895   -0.86969
   -0.84228   -0.81651   -0.79221   -0.76922   -0.74743   -0.72671   -0.70698
   -0.68813   -0.67011   -0.65284   -0.63626   -0.62031   -0.60496   -0.59015
   -0.57585   -0.56202   -0.54863   -0.53565   -0.52305   -0.51082   -0.49892
   -0.48733   -0.47605   -0.46504   -0.45430   -0.44380   -0.43354   -0.42351
   -0.41368   -0.40404   -0.39460   -0.38533   -0.37623   -0.36729   -0.35850
   -0.34985   -0.34134   -0.33295   -0.32469   -0.31654   -0.30850   -0.30056
   -0.29272   -0.28497   -0.27730   -0.26972   -0.26222   -0.25478   -0.24742
   -0.24011   -0.23286   -0.22567   -0.21852   -0.21142   -0.20436   -0.19733
   -0.19033   -0.18336   -0.17641   -0.16947   -0.16254   -0.15562   -0.14869
   -0.14174   -0.13478   -0.12780   -0.12077   -0.11369   -0.10655   -0.09932
   -0.09199   -0.08453   -0.07690   -0.06906   -0.06093   -0.05241   -0.04333
   -0.03333   -0.02136    0.00000
 
   -4.00000   -3.14519   -2.60934   -2.25792   -2.00950   -1.82206   -1.67422
   -1.55373   -1.45306   -1.36726   -1.29294   -1.22772   -1.16983   -1.11796
   -1.07109   -1.02843   -0.98937   -0.95339   -0.92008   -0.88911   -0.86020
   -0.83310   -0.80763   -0.78360   -0.76087   -0.73932   -0.71883   -0.69931
   -0.68067   -0.66284   -0.64575   -0.62934   -0.61356   -0.59837   -0.58371
   -0.56955   -0.55586   -0.54261   -0.52976   -0.51729   -0.50518   -0.49340
   -0.48193   -0.47075   -0.45986   -0.44922   -0.43883   -0.42867   -0.41873
   -0.40900   -0.39946   -0.39011   -0.38093   -0.37192   -0.36307   -0.35436
   -0.34580   -0.33737   -0.32907   -0.32089   -0.31283   -0.30487   -0.29701
   -0.28925   -0.28158   -0.27399   -0.26649   -0.25906   -0.25171   -0.24442
   -0.23719   -0.23002   -0.22291   -0.21584   -0.20882   -0.20183   -0.19488
   -0.18796   -0.18107   -0.17420   -0.16734   -0.16049   -0.15365   -0.14680
   -0.13994   -0.13307   -0.12616   -0.11922   -0.11223   -0.10518   -0.09804
   -0.09080   -0.08344   -0.07591   -0.06816   -0.06014   -0.05173   -0.04277
   -0.03290   -0.02112    0.00000
 
   -4.00000   -3.11238   -2.57772   -2.23312   -1.98877   -1.80412   -1.65831
   -1.53939   -1.43995   -1.35516   -1.28169   -1.21718   -1.15990   -1.10856
   -1.06216   -1.01992   -0.98122   -0.94558   -0.91258   -0.88189   -0.85323
   -0.82637   -0.80112   -0.77729   -0.75476   -0.73338   -0.71306   -0.69369
   -0.67520   -0.65751   -0.64056   -0.62428   -0.60862   -0.59354   -0.57900
   -0.56495   -0.55136   -0.53821   -0.52545   -0.51308   -0.50105   -0.48936
   -0.47797   -0.46688   -0.45606   -0.44550   -0.43519   -0.42510   -0.41524
   -0.40557   -0.39611   -0.38682   -0.37771   -0.36877   -0.35998   -0.35134
   -0.34284   -0.33448   -0.32624   -0.31812   -0.31011   -0.30221   -0.29441
   -0.28671   -0.27910   -0.27157   -0.26412   -0.25676   -0.24946   -0.24222
   -0.23505   -0.22794   -0.22088   -0.21387   -0.20690   -0.19998   -0.19309
   -0.18622   -0.17939   -0.17257   -0.16578   -0.15899   -0.15220   -0.14541
   -0.13862   -0.13180   -0.12496   -0.11808   -0.11115   -0.10416   -0.09709
   -0.08992   -0.08263   -0.07517   -0.06750   -0.05955   -0.05123   -0.04235
   -0.03258   -0.02095    0.00000
 
 
