Notes on the electron excitation rate coe0cients for argon and

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¼
5 C A=
C65
!"!#%$&')(%*+,*-%.#"%!/01!!"%%*23/00 )..3450
687 &9:!*;!* 7 <('*=&"> ¼@?%?)A)BDCFE @GHJI%>K9:!(L$MN"%!O!P9Q%.JR
0.S!T!*U.('%*"<)('VI% C LWI%!.09QWXI%'!"!2"%.3% !.F9QM.ZY[!T.@G\$]R
013"%^*V(_4` !"!aGb)5JI%.%$c<4 7 9d)*`!*feg!(('
687 &9:!*;!*heP!((> ¼X?%?!A)B Y[%g*!."<!T!*iJjk('*U(h9Q%.30-.S!
"<!l<4 7 J(m!. C 6n7 o(N!. C > ¼X?%?!A > 7 l)* 7 39:!*p> ¼@?%?<q@BrC LQ"%.! !.
9:k.ZY[%mXjk4k"%*2GH!.S)(lY[0-('-mJI%.%$+('a3*.30d9Q%W$)*
X)('3%* 68s )('.r> ¼X?%?%t >eP09m0-*%*;(u!. C > v)w%w ¼BDCdx *i('Q"%.! !.y9QM-.y('-
X)('3%*z)('lk{Q3*<('NY[%N.(%*,%..3%*b!lX!.30.)('z<4;*<('"%')(*"
('h%.3.%*2%d(%*-d@I%#U|z}jMG.3.!*1.('%*~*"!4€('0-(%*
687 &9:!*;!*heP!((> ¼X?%?!A > 7 l)* 7 39:!*p> ¼@?%?<q@BrC
 *h39:$%('!*<(L‚=0 !*<('V(_4#0z3*;(g"%.! !.ƒ9Qk.3b('o%.3.3!* !.K*"!4
.%N$L.('%*MR„%*#$ )LX)(p>…M†‡[ˆ‰ŠHLJ‹ *z!
…-†ŒŽ…-‘p’~“ …M‰•”– —˜ ‰•”J‘ – — ’f˜ ‘‰[™ š!›  ‰ ˆ‰
œ ¼}

˜
˜ ›
GO…M‘d(,3%*ž)('3%*~*"!4%>O…-‰•”J– —P:('z(!.Ÿ*-")4~Y[%d(, [R
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k{Q3*<(#Y[%:(a ¢Rr('£¤jM3(¥(')(',!* ˜ ‰[™O:(a.!(h')(,k{Q3*<( C
Lk0-H('N('9Q%*Q('N3"%<(Z !*Wu!%0*<(Y[%('u.%!Yƒ.3(%*:*"!4
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*0-('!.
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v
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GOl³ib(g%.3.%*:%N('3%*p>´:('P.J('%*;I!.3M3(_4#)*
¾§‡¢´MŠŒ ¹ › ‰ ˆ&‰ ½ › ‰€ˆ&´ ‰ œ 
d(i|z¦jkG..3S!*1I%.3M3(_43('0M('!*p> ‰d3d('-,.3(%*Ÿ9:!>3d('-
.(%*5 !"!W!*iˆ&‰g3o(d.('%*5(9Q› $&')(0 C *";('Q.S)(%*$
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…5Œ › ‰ ´ œ A=
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œ q%
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('Q& (g*%9:!.3ž;|z¦jkG..3S!*#.('%*;*"!4#-(30-('3%* C L=0
ˆ‰ … … ¿%…
Œ
»

³
[
‡
y
…
Š
œ 
º
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¹ ‰ ˆ&‰
ˆ&‰ ˆ‰
›
b('-o)('gMJ{:*=( C
! " $ #;C@5 9gBC68
 "!%*d3o39:$.3L*%.3u"%!Z!*d39Q%€()Y•('*:0#!oY[*-ªY[%FkR
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('!* ˜ ‰•”)> !*.!(mX)(('*" ˜ ‰[™ C L!*MR_*0-('!.§%..3%* ). %gJ('3%*
Z9d!3*.34T0N('o%* !*<(H !"!u('!*€Y[Z!Y  & %h%*  !*:.S)('3OX¦(('3*"
6n7 39d!*;!*- 7 3=(*="-> ¼X?%?!A >-$" CZt w B
³( '
9 * ),+ .1/ 032 46587:9
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L JjMV()(%*U)('dk{Q3*<('/Y[%T(!"%%*2)(%9 GO;!.0.S¦('20-*-"
('NJjMV()(%*Q%Z(%*"%3I!*Q<4:!3 !* 6 §!- !*-> ¼@?%t B Y[%('u·KJ
JjMV('#€()(L)*W<6
4 L"%"<)(' 6 L"%"<!€('> ¼@N? M!q}B Y[%(ª·POWJjMV('#€()(L)*
!.3 ¼ )(Pk{Q3*<('OY[%L.J('%*9Q$ !(bJjMV()(%*!Y ('o!"%%*)(%9 C
I•Ÿ˜+Žf›E™œŽf‘Œ
Š2‹‘Œ†™œ‹"® º
zŽf‘Œ²’†“©Œa”L’–•—Œ–˜© ž ½ ™
4aŒ šœ®
½
½
½ ¼
,.3, 234(,325
8 234:9<= ; 4 8 2>5?4:9 = 5
, = 4:BC2D4(,E= ; 4(, = 5
BC2 5 4 8 = 4JIK234 8 = ;
L
•Ÿ§<‹wŒ–4™œŽf‘Œ†™
¼P¼%C q
¼P%¼ C
¼P%¼ C M
¼P%¼ C8t
¼ Cv
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¼}qMC w
¼}qMC q
‡3 !·¦ˆ!Š
˜ Œ %) ) + ‡3 ¦ˆ!Š
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˜'/(0 Œ 8·7 ) + / ‡3 @š%7@š}ˆ1Š
˜'6 Œ A *) + / ‡ ) ¦ˆ!Š
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)+ )
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Œ
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6 §!- !*-> ¼@?%t
6 §!- !*-> ¼@?%t
6 §!- !*-> ¼@?%t
6 §!- !*-> ¼@?%t
6 LF"!"<!(> ¼@?NM%q@B
6 LF"!"<!(> ¼@N? M%q@B
6 LF"!"<!(> ¼@N? M%q@B
6 LF"!"<!(> ¼@N? M%q@B
6 LF"!"<!(> ¼@?NM%q@B
('d"!%0$-> xx R xN >
(' )(l$*=(/!..y(d!(oJjM3('U(')(' C L:')(
k{Q3*<('OY[%b('-o¤jM3(;(')('ª!P.3('*W(). ¼%C
Lg)(' MJ{Q*<('O.3('#*#(). ¼ ! ('!P0;*#9QM.pX).0-.S)(%*
Y[%ª)"%%*h !"%lGOT(T.('%*z*"!4h€('30-(%*ª!09Qz(d
|z¦jkGH..3S!* 6 eg0-9m0*%*ƒ> ¼@?%? k>eg0-9m0*%*h!* 7 &9:!*p> ¼X?%?%t BrC
x YF9Q%T!0')4hª-3a*,!.0.S)(*"('-mJjMV()(%*h')(TMJ{:*=(
('O!..(%*T!9m.3<4 E X4%! 6 E X4%! B !F¤j-3(')('3%*m%F(%*/Y[%
v q JjMV('h(')('N)Yy!"%%* C
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L %*3žX)(%*5*"!4¡Y[%/!"%%*2l…-‘Œ *)' NmC X!.30.)('Q('#3%*3žX¦R
('!*U')(Wk{Q*<(/(W!*ž)('3%*5%/ ('3%*+9:!0-2<4UTk('!02(/!. C
6 Tk('!0-hJ(ª). C > ¼@?%?%q¦B L0 C L4$%W( V 'X !!.0-(o0-*()*<(_4 C  ‹-(
('z(Y
Tk('!0-U(). C )('z*i(':'!*"! ¼ R š M N 0-*-"z(':kdGO3((*5=4
s -.3$ 68s 3.3$p> ¼@?!?%t¦B "!3I%
‡3 )n·%·}ˆ&‰Š
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š ),+ A
B
B
B
B
!*;*#('g!*"% ¼ R ¼ w/ N
‡3 ) ¦ˆ‰Š
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+
)
0-(('-y‹(
0lY[! 6 eg0-9m0*%*ƒ> ¼@?%? k>}eg0-9m0*-!*,!* 7 &9:!*p> ¼X?%?%t B
Gb!
‡3 %7¦ˆ‰Š ˜ ‘FŒ )#*% /
x *(b‹ (Z"%.! !.k9:k.MX!.30.š )('3%** ),6n+ 7 o!* 7 &9:!*p> ¼X?%?<q}B ('L%Z¤R
('!*P )(b)Y !$$g!*- L*"!.S!*-€R]eg!.* 6 !$$;!*- L*"%.!*€R]eg%.3*ƒ> ¼@? q}B
Gb!d0£('¡!.0.S¦('#('z%*3žX)(%*2)('hk{Q3*<(#)d3
g!** )O(W!. C
6 g!**!J(N!. C > ¼@?%t%q}BDC
/10./ <C;DE7:=8DFG79DH>I; =@ D<
K;97E7=
9,93=?>
Lm.!(o%.3.3!*;%ª(%*zuY[!0*,3*h('-T%ªJ('3%*,!..(%*;!]R
9T.z<4 E X4<! 6 E @4%!- BrC  ‹(N('('-TX).0-.S)(;')(oMJ{Q*<( *('-
'!*"! ¼6M N 3
‡ ˜ ‰[™ ŠZŒ )'%F’ * % ‡•ˆ&‰Š’ ‡ ‡•ˆ&‰ŠŠ ) ‡ ‡•ˆ&‰ŠŠ ½
š š ) )
)) ) #o® 5 9PB C@8
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E @GHJI%>FI!*2*¡z.S)(3I!.34,9Q$.3QXjk4k"%*2-!"%dh*=09ml!YL$&
X!*,lY[!9Q C %(0* )(.V4W('lJjM€(P:)(d(uY[%uXjk4k"%*a3*.303*"')(
k{Q3*<('Y[%9:!*<4 !Y=(F.3I)!*<(
!(%*- 6 L.S !%*;!*u !"%.3 )(ž!> ¼X?%t M>
u %4k
(u!. C > ¼@?!? vk> 7 39d!*)* 7 3=(*="-> ¼@?%?!A¦BrC 0W(,('3mXjk4M"!*
!O&*h0;(Q€('0M4.(%*"<)(3I%g9Q%.0.!H-!"% C
Lh('!('!.O%*3h9Q%9Q*<('0-9 ('')*Y[W%WJ('!*~Y[%:)('%9QXjk4k"%*¥
6 E ¨=9d)*;J(u!. C > ¼@?%? M}BDC
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q
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Š2‹‘Œ†™œ‹"® ºE
Žf‘Œ²’†“Œa”L’–•—Œ–˜pW ž ½ ™
A C ¼Xt
¼}qMC q
4k" Tk(')('
½ ½ ½ ½ !
?-C ¼A
?-C +q ¼
¼ v Cw
u%*MR k4 " T=()(
½ ½ ½ ½ ¼%C ?
˜
˜
˜
"
"
˜ ˜ ˜
‡3 7¦ˆ‰Š
Œ)# *) + + ‡3N· n· š %7¦ˆ‰Š
Œ * *) + ‡ )# ·7¦ˆ&‰Š
š )+
š
‡3 %H%7)¦ˆ‰Š
+
Œ %*7) Œ % *) + ‡3 %H*)¦ˆ‰Š
Œ¸·š *) + / ‡3 *'%7¦ˆ‰Š
š ) + Œ¸·H)·
86 7 !N!*zeg3.9Q%)> ¼X?%? w B @I!u!*z)0-9:a|z¦jkG.3.S)*#.(%*;*"!4-€R
('30-(%*d!*W‹(H}I!O!*d.(%*d(9Q$&')(0ª'!*"!ª!Y ¼ M NmC LPJjMV(¦R
('!*/*"!4mY[!y('L*!*MR 4k&"g(')('Z!*/('L(_Gg.@GH(Z')S)(3I! 4k"
(¦('O)ª"!3I%*W*:(!.3PvT)G..ƒ!( %$%*-*"m)('uk{Q3*<(' C L
(_GH+')S)(3I! 4k"2(')('#.€('Ÿ*~('!.avU!dG.. !W(' ½ s #" ½ %s $
('')*V('!*5 XI!W*"!."!.3m &&J(m%*i(':.(%*5%.3.%*!.§.3% C L:')(
k{Q3*<('TY[!l!(oJjM3('U(')('m!YO¦('%9Q/Xjk4k"%*+!:"!3I%*U<4(':')(
k{Q3*<( ˜(' X!.30.)('TY[%9^(H(')(!.k%(%*-§Y[%§¤jM3(')('3%*m!Y¦('%9Q
@jk4k"%*:"%VI%*Q<4 7 !-!*-deP.39:! 687 !O!*zeg3.9Q%)> ¼X?%? w B !*0--('!(€R
*"('l')(lMJ{Q*<( !Yy!..
!(N!(%*N"%VI%*h*(!-.Tv C LmJjM3('
(¦('u!g!09:h(Q@I!o(!.*"!4)Y ¼ v NTC
LJjM3(¦('!*£k{Q3*<(';!,!*3('*<(;GOV('£(%a$%(¥X).3
6 eP09m0-*%*,)* 7 39d!*ƒ> ¼@?%?%t B 0M(
%p¤j-3(
3*P.S)(ƒG%¨ 68s )('.r> ¼@?!?%t >
eg0-9m0*%*h(u!. C >v!w%w%w BrCFE T*G¥‹(H9d!-u('l(' )('uk{Q3*<(bY[%
('gJjM3(¦('!*;* ) œ ½ s  +" œ  )` C
0PO
Q
=?> 9SR:<C;9=?> @B<C;D 7=8DFG7:9DH>I;
L:3%*3žX)(%*,*"!4aY[%P('-Q3%*3žX)(%*,)Yb)(%9Q/Xjk4M"!*¡3 …-— lŒ N
6 L. !%*;!*
u%"!. )(ž!> ¼@?!t B !*-(g%*-žX¦('!*W')(gk{Q3*<(N @š 3‡ 7¦ˆ‰Š
ˆ ‰ [¼ Z
˜ ‘FG
Œ % ,‹(('a@(š ')(#k{Q3*<(d"!3I%*+=4
(!¨)*1Y[%9 6n7 g(u!. C > ¼@?%?!A¦B GO ),+ 1
LF. S!%*;!*- N%"%.3 ¦('ž 6 LF. S!%*;!*- N%"%.)('ž)> ¼@?%t BrC
0./ <C;DE7:=8DFG79DH>I; =@ D<
K;97E7=
9,93=?>
L,'¦(';%*€(!*<(:Y[%:.S!€('3;%..3%*/)YP.3(%*-:GO3(£)(%9Q#Xjk4M"!*Ÿ
X!.30.)('a=4z*<('"%'¦('*-":('-/.S)('3T%..33%*;!g('3%*a@I%g!*i!09:
|z¦jkGH..3S!**-")45-(30-('3%* C LQ.!(/%..33%*,%l(%*iPY[%0-*
=4¸‹((*"~ )(Y[%9 ('5('%J('!.T!.0.S¦('!*h<4¸L%9:!a!*- u&J(
6 L!9d!N!*- N&J(X> ¼@N? M%q@B Y[%
N )*Y[%9 (#JIkG«<4 x ('3¨)XGH
!* x 39m0 6 x ('¨¦XGHQ)* x -9m0-> ¼@?!? w B Y[%
NmC  ‹(ª)Yy('lX!.30MR
.S)(')(gk{Q3*<(N*#('g!*"% ¼M N 3
‡ ˜ ‰[™ ŠZŒ *%!· ’ %!· · ‡[ˆ‰Š · ‡ ‡[ˆ‰Š3Š )· ‡ ‡•ˆ&‰ŠŠ]½
š) š )
) ) )
C J®O = 9P*
C #o® 5
E Gb30-(H)('Zk{Q*<(Y[% .3(%*l9Q$ !J(¤jM3(')('3%*l!*T3%*3žX¦R
('!*W!Y
('ª@jk4k"%*;9Q%.30-. )HGH..ƒ!H('-P')(ªk{Q*<(LY[%.!(ª%..3%*
!Y§.('%* C
8032 46587:9
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L JjMV()(%*2)('WMJ{Q*<('/Y[%T(9:%.30.S!oXjk4M"!*X!.30.)('2=4¡*MR
('"!')(*"/('-l¤j-3(')('3%*h%uJ('!*u@I! )*z!09Q,|z¦jkG..3S!*.J('%*
*"!43(-0-('3%*WY[0*J('!*z!*-;‹(N@I%ª)*h.J('%*;(9Q$&')(0g!*"%g!Y ¼
M N !Q.3('*a(!-. C Ld%lJ('!*o!/()¨!*iY[%9 ('Q )('!J(
%9Q$.3#<4 s .3$ 68s .$> 7 @GL(%*h!* s .3$> ¼@N? M)t¦BDC
Lg'¦('Pk{Q*<(OGl!"!* !.3.34/0-;*W(P.!%')( 9QM.ƒ!Y ('-
@jk4k"%* !"%5-I%.%$¸<4 s )(. 68s )('.r> ¼@?!?%t¦B !*Ž.S¦('$0-.3¸3*
M
!.
4ŒnŽ>’–œ•—“>˜
½
½
½
½
+
½
+
+
+
½
½
+
+
Š2‹‘Œ†™œ‹w“>›—¥ º "! +
)(gk{Q3*<('LY[%L¤j-3(')('3%*!Y(gXjM4k"%*z9Q%.0.3 C
%
')(* ,+&-/. "3+&-/. 9 +&-/. ')(4 w C w%v
w C ¼X?
w C t
w C N? M M
¼!C <v M
AC q
Cw
t-CnA
?-C ? M
¼XAC M
zŽf‘Œ²’†“©Œa”L’–•—Œ–˜© ž ½
™
˜ " ŒŒ š ·
˜ ‰[”" Œ š
˜  Œ @ š
˜  Œ n·
˜  Œ š n·%·
˜ ‰[½ ” Œ ˜ @ š
˜ ¶ ŒŒ
˜¶ Œ
˜ # $&%
21
0
21
0
0
21
) ) H 7% ‡3 % '¦ˆ&‰Š
) + ‡ ) ) ¦ˆ&‰Š
) + ‡3 š *)¦ˆ‰Š
) + ‡3 š ·¦ˆ‰Š
) + + ‡3 ¦ˆ‰Š
) + ‡ %!·} ˆ&‰Š
) + ‡3 š H %7¦ˆ‰Š
) + / ‡3W *% ¦ˆ‰Š
) + + ‡3 ) ¦ˆ‰Š
) + ‡ '¦ˆ&‰Š
)+ š
6 eP09m0-*%*zJ(u!. C > v!w!w%w BDC L J4+!W &&*<(/Y[!9 (%0+<4 7 #J(
!. C 6n7 lJ(N!. C > ¼@?!?!A > 7 o!* 7 9d)*p> ¼@?!?<q}B *:(3!"!* !. "!.% ).9Qk.
X!.30.)('3%*W!YXjM4k"%* C
80PO
Q
=?> 9SR:<C;9=?> @B<C;D 7=8DFG7:9DH>I;
L 3%*3žX)(%* *"!4P!Yk('-Z9Q%.30-.S!pXjk4k"%*l ¼ v C w L NTC LF')(ZMJ{Q*<(
Y[%L%*-žX¦('!*W!Y ('gXjk4M"!*z9Q%.30-. 3
3‡ 7¦ˆ‰'Š
+ ˆ ‰
˜ ‘yŒ % (!¨)*1Y[%9 6n7 g(u!. C > ¼@?%?!A¦B GO ),+ 1 ,‹(('a (')(#k{Q3*<(d"!3I%*+=4
LF. S!%*;!*- N%"%.3 ¦('ž 6 LF. S!%*;!*- N%"%.)('ž)> ¼@?%t BrC
80./ <C;DE7:=8DFG79DH>I; =@ D<
K;97E7=
9,93=?>
Lm.!(o%.3.3!*;%ª(%*zuY[!0*,3*h('-T%ªJ('3%*,!..(%*;!]R
9T.<4 s .$ 6ns .3$ BDC  ‹(!YN('-#X!.30.)('2')(#k{Q3*<(Q*U('-
'!*"! ¼6M N 3
‡ ˜ ‰[™ ŠZŒ )' ’ ‡•ˆ&‰Š’ ‡ ‡•ˆ&‰ŠŠ H · ‡ ‡•ˆ&‰ŠŠ]½
š ) š ) š š ) )
)) )
t
100000
10000
c
1000
100
10
1
1
10
"%0- ¼ L;!..33%* !.F*-")4+.%/$&Q.('%*MR„%*2$ )/X)(+…-†m!
Y[0*(%*h!Yy(l.('%*z(9Q$&')(0gˆ&‰HY[%ª)"%%*ƒ>Xjk4k"%*¦('%9 !*-zXjk4M"!*
9:%.30. C
?
C : C659
C6:B:
L :%..3%* ).*"!4.%P$&l.('%*MR„%*a$ )PX)(i…-†P)lWY[0*-('3%*i!Y
('P.J('%*W('9:$)('0uˆ‰H3b-}GO*3*d‹ "%0 ¼ Y[%H!"%!*p>-Xjk4k"%*;)(%9«)*
@jk4k"%*T9Q%.0.3 C  (
[email protected](%*P(9Q$&')(0y.S!€('3§('!*Y[
ƒ(F%9Q* !*<(
%*<('0M('%N('W('-m%.3.3!* !.p*"!4,.3% C  (P3"%,.3J('!*z('9:$)('0T('-
*"!4#.3%b…M†!4k9Q$-('!(L('/%9QGO )(O-"%H('!*#…-‘ C %b9Q%.0.!Z"<!
0;!bXjk4k"%*;!-3(%* ). *"!4:.%b*.0-ªJjM3(¦('!*d!YIk-')(%* ).&)*
!(')('3%* !.*"!4.JI%.>=9Q%.0.!§-MS)(%*/J(' C Lk0-3*Q9Q%.30-.S!y"%!…-†
L3"%*V‹ X!*<(.34W-"%b(' )*Y[!L*%.3P"<!N)(N/"%3I!*;.3(%*#(9Q$&')(0 C
x */('-§G%¨l('L.J('%*/*"!4m€('30-(%*m3!09Q/('PN|z¦jkG.3.S)*
!*g('F‹(('O('-Z)('FMJ{:*=( 3
I)!.3P3*g(F'!*-"% ¼ M NmC LZ &&J()Y-('-
.(%*o*"!4o3(-0-('3%*P%*g('F!..33%* !.¦*"!4g.3%
$ .3(%*kR_!*P$ !
)('~3*1)"%%*+3 )"%;/3*=I!€('"%)('1.JGO 6 eP09m0*-%*p>&v!w%w ¼JBrC
Ll('-T!..33%* !.*"!4;.3%NOX).0-.S)(GO.3gI)!€4k*"('o.3J('!*z*kR
")4#€('0-(%*WY[0-*(%*#Y[!9 |z¦jkG.3.S)*( 0-4=I!(4k*a3('0M('!* C
C@5 =:
C65
Ll)('PMJ{Q*<('O0h(QJI)!.0 ¦(' ('-P%.3.%*!.K*"!4.3%L$L.J('%*
%*U$!oX)(+!dJIkG2Y[%l!"%%*2!*-2)('!9:3d!*-U9:!.0.S)oXjk4k"%* C
Ll.('%**"!4W€('30-(%*#3O!09:;(&o|z}jMG.3.!*;!*#('P‹(O(
('g'¦('gk{Q3*<(NbI)!.3#*W(g'!*-"% ¼ 6M NmC
L3bJIkGŽGH!L*V(')('d<4#$!Y C |h3¨! 7 39:!*)( *VI%V(_4W!Yb!.3VR
Y[%*d)(H¨!.J4 C L3uG%¨#GH! $ )('!..V4W0$$%(a<4;L *-3I%3(_4h!Y
x .!* ! 0-* C
¼w
5 H®
­ ®)®b® :
6 L"%"<)('> ¼@? M%q¦B L"%"<!€('> L C œ ¼@?NM%q!JC H%9:$--*3I%l%$-(X).
!*;%.3.%*!.
)('dY[% !S¦('!*,!J('!* C&xxC  C
"!$#%# ><v t t!KA MkC
6 L. !%*;!*u%"!. )(ž!> ¼@?!t B L.!%*p> C !*-N%"%.3 ¦('ž!> oC œ ¼@?!t JC b¦R
3# )('aY[!m9:k.*-"z!Yu.3(3X!. !"!/*2"%! jk4M"!* C $%(
7 R ¼P¼ ª> H@GO* H@I! N%*ž*-Y[!=0*-"> Eªq)A w q > b!* C
6 eP09m0-*%*p> ¼@?%? B eg0-9m0*-!*p'> & C C œ ¼X?%? ¤)
C ('*+,.-/%#%#"%01
23
4 1562+#$%78"JC s ('-3> *3I!3(_4#)Y b!.33Y[%*Sl)( H¨!.4 C
6 eP09m0-*%*p>&v!w%w ¼B eg0-9m0*-!*p> & C C œDv!w%w ¼@JC *:(ª &ƒ(L)Yp('u.3JR
('%*,*"!4;€('30-(%*;%*h(T$-.S!9dQ$ !')9:J('u)YF!"!%*z3 )"% 
"%.3% !.œ[I!%.0-9:uXI%!"%  9:k.€('0M4 C9:;#)=<'"%%%#><'
?%@
2A(%%"3
?+8! > ¼ w M Mbt ¼%C
6 eP09m0-*%*zJ(u!. C > v!w!w ¼B eP09m0*-%*pB> & C C > u%0-ž*J('@I> xC e C > s )(.r>
C C >b)* 7 39:!*p>H| C  C œDv!w%w ¼@JC *+('-h.J('%*"%)('VIMV(_4U!Yª"!
*V(_4/XjM4k"%*:-!"% CC D"
E: "!$#%#GF0HJI:-K-L2@ "!$#%# K> A ¦¼P¼ w%w ¼P¼ w ?-C
6 eP09m0-*%*,)* 7 39d!*ƒ> ¼@?%?%t B eg0-9m0*-!*p"> & C C !* 7 &9:!*p>
| C  C œ ¼@?%?%t JC |z!"%*J('3h3*0J('!*1)*~$.!9:a9Q$& !**1i$.!* !
*-0(3I!o-!"% GC :;#)M<'/%%#@<'
?%0
2N(E%%"
?+8! > M8t #?<qMC
6 eP09m0-*%*,)* 7 39d!*ƒ> ¼@?%?%t B eg0-9m0*-!*pO> & C C )* 7 &9:!*p>
| C  C œ ¼@?!?%t ¤C |hM-.!*,9QX!0*<('ªY[%u:$-.S!* )u3*0J('3I!lXjk4k"%*a-€R
!"% GC P;#))<'"/%%#Q<'
?%*
2R(%%"
?+8! > M ¼ E¼ v C
6 eP09m0-*%*zJ(u!. C > v!w!w%w B eP09m0*-%*pC> & C C >p|z)'!¨=<(!*-}I>  C | C > s }R
('.r> C C >eg!$* ¦('p> NmC s C >!* 7 39:!*p>M| C  C œrv!w%w!w JC *W('ª$.S!9d
$ !!9Q('L!Y/$.!* !*0-('VI%PXjk4k"%*; !"% C:"
S "!T#%#SF0H
I:-K-L2)"!$#%# (> ¼ %v E¼ ¼%C
6 E @4%!- BTE X4<!r>| C  (!YN.J('%*MR  T%/J('3%*mGO3(v q JjM3('
(')(' C Y•('$ VUWU/X .S C %.%! C -0 U !..33%'* YO )(' U .J('%**0-('!. U X4<! C (jk( C
¼¼
6 E ¨=9d)*;J(u!. C > ¼@?%? M¦BoE 3¨k9:!*p>  C s C >|h¨) R u!$ !-!>+| C > H )$*p>
C TC >Z!* E 0-(> lC 7 C œ ¼X?%?NM%¤C *:('0(0 &ƒ('3*¡(' % !..33%*dY[‚=0*J4 C>%%-"!T# %#$/% 4 4 /# >v AH ¼P¼X? E¼ v%v C
6 x (¨¦XGbQ!* x 39m0'M> ¼@?%? w B x ('¨¦XGH-> C !* x 9T0'->  C œ ¼@?!? w JC H%
(%*
Y[%
!..33%*ƒ)Y.3J('!*§)*l$-!('!* GOV('l)('!9:3yXjM4k"%* C
"!T#C
2 /
?% F0 4 > ¼@H? M bq ¼!C
6 g!**!J(N!. C > ¼@?%t%q¦B g!** !r> HC > )'->§| C >§!*- 0 X !¨)M> C œ ¼@?%t<q%¤C  *
!-I)!*-;¨=*J('3 9:k.ƒ!Y .3J('!*MR_X!9/R_¤jM3( P .S!L3*.303*"T('-
Ik)('3%* !.!.¦j-)('3%*g* P œ
 !*l%.3.%*!.)9QVjM3*"L!Y P œ
¤JC 3
B I:-K-L2M "!T#%# > q M8A %w ? dA <v%v C
6 N%€4M
J(ª). C > ¼@?%? v B u%4kr> xC  C > N%(*¨=4!>  C C >F|z¦(I%J4%JI&>  C  C >)*
TM3.S!¨)}I> NmC s C œ ¼@?%? v JC P*J('P9QT)Y§('-l*!*MR_‚k0-.3309 !"!l3*
*V('!"%*MR„XjM4k"%*h9QVjk(0 :C P;#))<'"%%%# <'
?%0
2R(E%%"
?+8! > ¼' v!w M
v%v!w C
687 !N!*zeg3.9Q%)> ¼X?%? w B 7 !> gC gC !*-Qeg3.9Q%)> H'C oC œ ¼@?!? w JBC $ )('
JjM3(¦('!*d!*-:3%*ž)('3%*/%('3%*FY[%F.3(%*Q9Q$ !J(Z%*d¦('%9QLXjk4<R
"%* C D"
BS "!T#C
2 /
?% F0 4 > ¼@H? v M M %w qMC
687 XGL('%*h!* s .3$> ¼XN? M!t)B 7 XGL('%*ƒ> T C  C )* s .3$>  C NTC œ ¼XN? M!t<¤C L§jMV(¦R
('3%*W!Y( % (¦(' !Y <4:.@G¥*"!4d.3(%*- C D"
=
"!T#%# B> H? ¦¼ w q%q ¼ w tMC
687 o(N). C > ¼@?%?!A)B 7 !> C >-eP'XI!> TC C > 7 9d)*p>=| C  C >k!* E > TC`C
œ ¼X?%?!A=¤C eP.! !.y9QM-.!Y$.S)9:-9Q(43*53"%*3(_4iXjk4M"!*¡-€R
!"% C "
B 4 P +% 4 %$%E<'$ 4 ! > ¼X³A ¼' ¼}q¦A ¼}q%q%qMC
687 l!* 7 &9:!*p> ¼X?%?<q¦B 7 )> C !* 7 &9:!*p>b| C  C œ ¼@?%?%q%JC eP.! !.
9QM.!Y  > >H. !*  U 3"%MR_-*3(_4$.!9:/ !"! C "" <'
?%Q
2R(E%%"
?+8!*I > ¼ t t w C
687 &9:!*;!*heP!((> ¼X?%?!A!B 7 &9:!*p>;| C  C !*«eP!((> gC  C
œ ¼X?%?!A=¤C 3"%*~)Yª3"%MR„*3(_42$-.S!9da!0Y[%9d)(S!.3m$k*" C
x * !*%9m!> | C !* N %*pE> & C >-3('!> "!$#%#= ('"1
1L6# 5 >
$ !"! ¼ ¼P¼X?-C  X)9Q s #> NGZ!¨ C
¼v
687 &9:!*;!* 7 <('*=&"> ¼@?%?)A!B 7 9d)*p>)| C  C !* 7 3<('*=">  C & C
œ ¼X?%?!A=¤C P1
? -+%#)0P;#)F@+#$%78"%#
2A 4 #0P%$%%#%#1
"8!C &!!*
4 TM%*-> uJG Z%¨ C
.3
68s )('.r> ¼@?%?!t)B s )(.D> C C œ ¼X?%?%t<¤C N %.309QO@I!!"%:9:k.*-"P!Yp3"%*-3(_4
3 !"% C |z!( 8O('3> *-3I%3(_4!Y b!.VY[%*-ST¦( H¨!.34 C
68s .$ B s .$>  C NmC H%9Q$3.S)(%* !Y~.3(%* %²J('3%*f0- C
Y•('$ VUWU/X .S C %.%! C -0 U !..33%'* YO )( U .3('%**0-('!. U .(%* C (jk( C
68s 3.$ƒ> ¼@?%?!t)B s .3$p>) C | C œ ¼X?%?%t<¤C H!9:$0M()(%*m)Yƒ)('LMJ{:*=(Y[%.3JR
('%*9Q$ !(%..3%* C |h9:!'!*-09 u ?C U L 7 | ?%Kt U¦A -> L.J('%*
! 7 !&!')(%4!> *VI%V(_4#!Y b!.VY[%*-S-> H¨!.4 C
6 !$$h!* L*"%.S)*]R€eP%.-*p> ¼@? q}B !$-$p> TC !* L*"!.S!*-€R]eg!.*p> s C
œ ¼X? q%¤C !('!.%Z(%*Y[%3%*3žX)(%*T!*:)(('!9Q*<(F*"<!F<4.3JR
('%*,39:$ )( C xC s %V('3I!l3%*3žX)(%* C "
9 ? "!T#%# > A ¦¼XA A
¼XKA M!?-C
6 Tk('!0-hJ(ª). C > ¼@?%?%q¦B Tk('!0p> ElC C > * !0.V(X> s C > 7 3*@4!> C e C '> TM9:V('p> C  C >
!* Tk('3*"%> gC HC œ ¼X?%?<q%¤C  %.30-('g$ )('!.!*-h(')(!.p%ª(%*-NY[%
.3J('!*MR_39:$ )(o%*-žX¦('!*i)YO!"!%*5Y[%9 ('%.5(' ¼ w%w%wh NTN
C "!$#
5$, I > q v ¦¼P¼P¼}q ¼P¼ v A-C
6 !3 !* -> ¼X?%t B !3 !* -> C œ ¼@?%t JC L§jMV()(%*h!Yy('- ¼ > ¼ / > ¼ ½ )*
¼ .JI%.3u)YF!"!%*h<4;.@GbR„*"!4;.3J('!* SC "!$# 5$, I :> A ¼ w%w M ¼ w ¼@qMC
6 L!9d!N!*- N&J(X> ¼@N? M%q}B L%9:!> 7 C TC !* u&J(X> oC C œ ¼XN? M%q%¤C  kR
*09 7 @GbR_*"!4,.('%*a)((*"W<4,)('%9QgXjk4k"%* =C "!$# 3
5$, I > ¼ v ¦¼ M v ? ¼ M !w C
¼