Upload
others
View
0
Download
0
Embed Size (px)
Citation preview
! "#$%%
! " # $ % & ' ( ) & % & '
&'(')*+,,
! !"###$ %
& '! (!(!))(!* +,-&*"./#0*+ , -+./0-12.
3.&4&56
3.3. 7+,,+"""1 2"
-()*'.*/*01)' '#'%'2&%#'3')
34 "56734184 7##7
!"#
$%&'(')*+,$+&-.+),*+//'0$%&'(')*+,"))+%//'(')*+,$+&-.+),*+//'',$1+//'(')*+,,$1+//'(')*+,
2* 34 5'3*6784 4 44 944
:' 9*678
""71 2 9 27 "7
"""""7*+ , -+./02.""019) !
2""" 9 ""7 1 % !29 9 1 !
.0#38988:;0
9 9
9
! "#$ ""
#%&#"
#
;
:
<
=
>
2
'/ +/,$$'*//%
;-'6%
')/-)/%
'-?$'6%
=$'6%
"*/'&+$/%
2/-)/%
@AB@
@A@C3@AB@
@AB@C3@AB@
B@ABB@CB@A9B@
BB@A3B@C9B@ADB@
@A3@
E@AD@C@AD@
≥
9≤F
G≤F9
G≤
G≤
≤ GG0$H,'&IG
GFG0$H,'&FGE
A6'HJJ +/,J'$&K6$*'L)K)*+,C AM/8+/+)K)*+,*/0$*+/'0,8+)6'L'))*+,N/6O@PCG A&/&N/'+&6)&N/'+M/8+/%)K)*+,
*%4#*45*04'&6&)*&'01)45'(*)*/57
*%4#*45*04'&6)('058(0+'&9%&'&*01)*:,0;7
Q+$,9
Q+$,
#38988:;0.1
$9)29 !9 : 9)2 ! : !2 9
:9) 29 ! ) !
"";& 2 72)
3.0. 77<= ,>?=,<"7"1 2 +,-&*";7<;:2
%=>2'7?+ 7,-&*";7<; % !
2(<?.?+ <.,-&*";7<; %
3.1. 7<7,> @,+++,-&*"77##/#
# #" = == === 3.A. 7++7?B,,+ +,-&*"<"<#3.C. 77,7 &) + !
2 )&) + 3.9. 77>,7"."& !
2 8'! 2 9 !
(! 2 9 !
2
".7& 2 !
*%)22".+".7*+ , -+./02.
0.$(DE&F6
7"@2
$&+8/%R:%)*+,N/6'*G$))8,//KS/$M/K+)0')'K-),/'*6G-6MK*7,''M/8+/+')/'*/'('
)0')'-),/'*69!'&+$)+$)*+,N/6'*/'&+$&'5J6 )*+,N/6'*5%1KS0'&+.+/L0$)**+,
(''*/%'$(/M %0'*5-0$'5-6 #'5/'&0'*KS)*+,N/6S J$-G'M/87.-76'8+),*'&0*)*+,N/6+GM/6-&/'1+T
/%/+-6MK*7,&,8+)6'+)0'/+/+UV<6,+('$7$M&+.+/%)*+,N/6'*5%')*+.+/%1KS0'&+T
.+/L'.+),*+//KSM5/L5'0-)6+,)%/+-6MK*,NBU)'*/K+''M/8+/%)*+,N/6'*-),/**7,)%/*/'*N$M$,K*+&K+)*+,N/6)*+T
,N/6G$M$',//K+)DEB(
*+ , -+./02.
.A#38988:;0
W-6*G'M/87.%),'8/6)*+,O&0-PR
!A/6*/%'.+('/M/8+/%C
2A&0KT)*+,N/6OM+$6N/K+5JJ-M/K+PC
XA6*$ +*K+('(+//K+O/6*/%PC
<A0$%&K+,$-8,K+7&/+) +/,/K+C
YAJ(-$/K+7&/+) +/,/K+C
ZAH$,+&/K+7&/+) +/,/K+C
"A$,-,/K+,0:"<C
;A$,-,/K+,0:"XG:"X=C
[A/,$+*K+,0:!C
WA6,+$ 5/K+C
A6)+/'/'*K+,$-8,K+C
W-6*G'M/87.%)0')'-),/'*6)*+,N/6R
2A0'5*+)/K+C
A0',''8/K+C
#A*),$*+&K+C
:A0$),$*+&K+C
WA/),+//K+C
!A/),'N/K+G'0'$/K+C
A/0'N/K+G*+/87.+C
A6'/)'N/K+G,'$ +*K+C
"A$-8/K+C
;A(''*/K+
W-6*G'M/87.%')/'*/'+/M/8+/+)*+,N/6R
A5%0$'&K?+//KS0$'M*'5),*+//KSM5/LC
A5%'.+),*+//KSM5/LC
WA5%1KSOK,'*KSP0'&+.+/LC
UA5%/$-1/'('')*+.+/%C
"A5%$-5/6'*?S,C
A5%6/+&,'($J8+)6S,++*M'//KS),-5L
:*-M/8/'+8)'OADDPG'M/87.++/'&+$)+$
\J$O J$KPG'M/87.%6'8+),*'&0*)*+,NT
/6+
\J$KG'M/87.+&'./'),N&0**,,S
$+SM/8/% J$ OADDDPG'M/87.%/'&+$&'T
5J6 C
W-6* J$G'M/87.+6&,8+)6'+)0'/+/+
6,+('$7$M&+.+/%)*+,N/6'*0';2BB
V V V VVVAVVAVVAV VV
→
→
→
→→
→
→
→
77@ 2 2)2)% ! '
!(!(!(! (!(! 2
%)9 " 2(! 9)(
#38988:;0.C
! ,-&*"<"<#:2
@ 1 1 '! 2!
)2;#$ #"9)#7;!@AB ;'
C !
2<##$ #<9)#".@! 0'
! 2)!
2;#$% 2)20#$ #79)##<@AB ;'
!2
;#$ #79)##<@AB ;'
C
1.GF'D&6
0"& )
* "
1.0., 07"8 !
:) 9
*+ , -+./02.077&
070: )2!
) 2 '! 2
) ! 295#DE;#D 2 <#.#,)(
! 2! ;##,)
* 2 2)2 77#$2)%) F! 2
*+ , -+./02.
.9#38988:;0
07;$ 9)!2 '
! (!(!%99)(!
1.1.H,, 00"G % 00""&##=======
,-&*"77##/#&)) !
======1)% !
===8
&##=
)&== '! ) 2
2 ! ))(
!22)22! )(
! 2)2 00"7&#==G G !
;G,-&*/6#<,-&*";5"H
,-&*.;#7H,-&*""0/"-
8 G,-&*7""0#2
G2 !2 : 2
2 2
2&F2 %
2
00"0I#== ! H) !& !2 ! H#"-
00";8 ! '
! !(
#38988:;0.8
! )2)(! (! H ) !
00"<& 2 !
%) !:
00""+00"<*+ , -+./02.00".8 !
00"/&===007& % )007"& ) !
01 % ,-&*"<"<#7#I-
I )0
'
( &'
) # *
+#
, ,- - -- --- , ,- - -- ---
>+15-/S'5%.&)%0'5/0$%1+/+&8),%&G0'5678+//K&6$M8/K&JTM&]
>+15-/S'5%.&)%0'5/0$%1+/+&8),%&G6','$K+0$$',+*K678,+%&'(-,0$/&,N$M/-70'%$/'),N]
>+15-/S'5%.&)%0'5/0$%1+/+&8),%&5'),-0/K&5%0$6')/'*+/%&+,8+)6&8),%&G5'),-0/K&6$+T0+1/K&',&&+,8+)6'LJ'NT('L/5'),-0/KS5%0$6')/'*+/%M'T% '//KS8),%SO6$'&+0$'S'5/KS*K67T8,++LP
>+15-5'),-0/K&5%0$6')/'*+/%&+,8+)6& 8),%& &+,8+)6'LJ'N('LG )'0$6)7.+L)% ) */-,$+//+L0'*+$S/'),N7 M'% '//KS ' '*'6 0+$+('$'5'6/+M'$'*//KS,'6'*+5-.S5+,+L
XM'% '//K+ *,-6G )-1.+ 5%0$+5'S$/+/% 0$)'+5/,+N/KS 0$'*'T5'*G ?/-$'*G 6++L )'+5/,+N/KS?/-$'*',&+S/8+)6S0'*$+15+/L
XM'% %-),$'L),*5%M.,K',/T,%1+/%)6$-8*/%
XM'% %)6'GM1&'*5$-(S5+,T+L5%6$+0+/%0$'*'5'**&+),SG (5+0$'*'50'5*+$(7,)%&+S/8+)6&*'M5+LT),*%&
)/'*/%M'% %:'0'/,+N/%M'% %
9
9
9
9
9
9
9AA
9
9
9
999
9
9
9
9
9
9
9AA
9^
9^
9^
9^
9^
9^
9^AA
9^
9^
9^GB
9^GB
9^GB
9GB
9GB9^9GB
GB
GB
GB
GB
GB
GB
GBAA
]$'&+)*+,N/6'*)$M$%5/K&&0&)'*),$'+//K&"_$&+8/+A/'&/N/'+/0$%1+/+)*+,N/6G6#
.;#38988:;0
00774)0 " !,-&*"<"<# <#,)! 0
*+ , -+./02.0070*?-+./02.0008%99)000"8%99)2)
'#57+ 2
22 (#6<+ 2
22!
:'!%99)
) (!) 2
07$ !(
!%99)2!07$2"67#77$ % 2 1JK ! 2 +2-%99)#57
*+ , -+./02.00078%99) !
!
00;G 00;"8 )2
%) 2H H !
* )2) !
I == %)
:== ! ==$ ==
L 2!
*+ , -+./0-12.00;7@ !
:'! ) !
(! ) !
2) 2 2* 2
00;08 )=='
!! 22)24 2!H ) : ! == % 2 F)(
!2 (
!) (!2 )
8 )==
):2
: ==)
*+ , -+./12.00;;8 2#<M 2
2 "2<#$
& H2! 2#"M "<#$+#7<M 2 2 H H"20;$
*+ , -+./02.00;<1 =2!
) 2 !
*7 -+./12.00<J@ H
'!,-&*70<""N+ %)2
% (!,-&*7""//NN+2)(!-2 '! 6+/7+ %)
% (! "<+/6+ %) !
2 $
H 2 G 2) 2
,-&*7""//*+ , -+./02.00.1H 00."1H
;2 2 !H
#38988:;0.I
]#"'))L)6'LY+5+$ 5+L),*-+,;2"B3ADD]]#"'))L)6'LY+5+$ 5+L),*-+,;2"B3BADDOM5+)N5++P
.3J#38988:;0
$2 H 9))) !%99 !
29
=
G
!+ 2 $
'
./##+#
*
, ,- - --
0,,
---
>+15-/S'5%.&)%0'5/0$%1+/+&
8),%&G0'5678+//K&6$M8/K&JT
M&
>+15-/S'5%.&)%0'5/0$%1+/+&
8),%&5'),-0/K&5%0$6')/'*+/%
&+,8+)6& 8),%& 5'),-0/K&
5%0$6')/'*+/%0'*+$S/'),%&8),+LM
M'% '//'('&,+$
>+15-8),%&)*+,N/6'*6))MT
.,K ``G 6','$K+0$0'*$+15+/$'T
8+LM'% &'(-,'6M,N)%0'5/0$%1+T
/+&G5'),-0/K&/$-1/K&&+,T
8+)6&8),%&
>+15- 0'*+$S/'),N7 )'+5/,+N/'('
?/-$6+%5'),-0/K&5%0$T
6')/'*+/%&+,8+)6&8),%&G66'T
,'$K&?/-$ O6+NP0$6$+0+/0$0'T
&'.)6'KM1&MM'% '//'('
&,+$
>+15-/S'5%.&)%0'5/0$%1+/+&
5+,%&*K678,++LG*),$'+//KS*)*+T
,N/6G&+,8+)6&8),%&0')+
-5+/%M'% '//'L'''86*K678T
,+%O+)&++,)%P
>+15-/S'5%.&)%0'5/0$%1+/+&
8),%&5$-(&&+,8+)6&8),%T
&G$)0''1+//K&&+15-/&'0'$T
/'L0'*+$S/'),N7]]]&+15-/S'5%.T
&)%0'5/0$%1+/+&8),%&'0'$/'L
0'*+$S/'),N7R
5%/S'5%.S)%0'5/0$%1+/+&8)T
,%& +M 0'6$K,% 8+$+M M*'8/-7
&))-,'./'L&+/++9GB&&C
8+$+M M*'8/-7 &))- ,'./'L /+
&+/++9GB&&
9
9
A
A
A
9
A
]A]]
A
A
9
B
A
A
A
3
9
9
9
A
A
9
A
3
3
B
B
A
3
12 10, 0,,12 10,
9
9
A
A
A
9
A
]#'M5-?/K+MM'$K]]-,-,+86]]]2&0$'1+/+9
#38988:;0.33
$&+8/%R#8),%SGM,KS6'&0-/5'&M0%//KSG0-,-,+86/+M&+$%7,9!6'&0+6,-7.+M5+% O"_GZUUG&0KG),$,+$K5$P ,$+'*/+/+$)0$'),$/%+,)%
a/8+/%0-,+L-,+86*'M5-?/KSMM'$'*',/')%,)%,'N6'6-),/'*6+H,SM5+L*)*+,N/6$+'*/+/+$)0$'),$/%+,)%/0$'*'5H+6,$'0$'*'56G66','$K&)*+,N/60$)'+5/%7,
,'N6'0$-),/'*6+
GH %99 <##$
2; <##$%
'
! 2 9
!
)
+.(
! !
2
2'
! 2!
7<+"#(
! 27<+6
*+ , -+./02.00.7CH=>7#)!
2!
!
G2=><;H
4) H !
%)
*+ , -+./0-12.00.0GIK 9
'
#<+#==(
"#+ =(
"#+) =2"$
2
:) =2"$!
2H"#KO$<#K
*7 -+./12.1.A., ,0;"8
8 ,-&*"<"<#
&@AB,-&*"/;"7
&*
,-&*"<5.0
0;7GH
0;7"& )
9 !
0;77&,-&*";7<;!
'
=>7#+ (
=>70+
.30#38988:;0
8 !
&=>P"H =>P/=>P6
& !
2 <
0;70&
5<E0 Q 2 7<E< D&'
;6+=>7#(
".6RRRRH=>7#
: ;,-&*"<"<#
*
0;770;70*+ , -+./12.0;7;I ,-&*"/<"., !
%) ,-&*"/<".
!
0;7<@ "!
2 2
IHH <(
% " H "<
HH )
1 2
1 < )H 2!
I )%
H !
*+ , -+./0-12.0;7.1 !
HH ) 9 !
) 7<S
0;7/L H H
% 2 <* !
2%2 %!
22
0;76I 2 !
0#
0;758 !
'
#<S + T";$"< (
"7S + T";$"<(
7#S + T7/(
0#S + T7/$77(
;#S + T;#(
<#S + T;#
8 H )
#6S
#38988:;0.31
B
) ###"% 3
2*+,N/66))M.,K `R)*+,'0$'0-)67.+H+&+/,KG)-1.+5%M.,K',*(0KG/'/+M..7T.+',0$6')/'*+/%6/S'5%.&)%0'5/0$%1+/+&8),%&C)*+,'0$'0-)67.+H+&+/,KG)-1.+5%M.,K',0$6')/'*+/%6/S'5%.&)%0'5/0$%1+/+&8),%&C5$-(+H+&+/,KG)-1.+5%M.,K',0$6')/'*+/%6/S'5%.&)%0'5/0$%T1+/+&8),%&
92*+,N/65$-(S6))'*M.,KR)*+,'0$'0-)67.+H+&+/,KG)-1.+5%M.,K',*(0KG/'/+M..7T.+',0$6')/'*+/%6/S'5%.&)%0'5/0$%1+/+&8),%&CH+&+/,KM6+$&T8+)6S&,+$'*C8),/+),/5$,/KS6+$&8+)6S&0'*KS0,$'/'*G%*%7.S)%)'),*/'L8),N7)*+,N/6C)*+,'0$'0-)67.+H+&+/,KG)-1.+5%M.,K',0$6')/'*+/%6/S'5%.&)%0'5/0$%1+/+&8),%&G5$-(+H+&+/,KGM)678+/+&H+&+/,'*M6+$&8+)T6S&,+$'*
2*+,N/6*),$*+&K+)*+,N/6G)'*&+.+//K+))),+&'L*+/,% 6'/5 '/$'*/%*'M5-SR
H+&+/,KO6$'&+6+$&8+)6SPG)-1.+5%M.,K',0$6')/'*+/%6/S'5%T.&)%0'5/0$%1+/+&8),%&C
6+$&8+)6+H+&+/,K5$-(+H+&+/,K)*+,N/6'*
GB
GB
GE
G9
GB
GBG9
*+ , -+./02.8 2))U<U"02
;# "S
8 7# "S
0;7"#J HH ! '
!I"#2+7<S(!I"#+<#S*
% %)! 2
0;7""$HH ! .
:'9G3*6782*9G35'G*6784G4G944G94G44G4G44G4GE4
#"#
+"4
5##
##
G9G9BGGGEG3
GGBGG3G9G3
2*GE5'BG*6784BG4G44G43G443G4G44G49G449G4G44G4G4
#"#
+"4
5##
##
G3AAAAAA
9G9GB3GEG9DG3GG
$&+8/+#/,KGM(','*+//K+MM'% '//'('&,+$G*/,KG)-1.+5%$M($-MT60$'*'5'*',/,%1+/%G5'1/K*K5+$1*,N6$-,%.L&'&+/,GB!b&
.3A#38988:;0
HH '!2 (!) H!
H H%99)
0;75+0;7""*+ , -+./02.0;7"7J !
/
E
&#"&
66"
+"#64
6&
:'*6782*5'9*67849
G9BEGBG
GBBGEGB
*+ , -+./02.0;7"0J 0
%)0;7";J) )
)0V"O0"
6"
+ *+ , -+./12.0;7"<I !
%) :'!
(! !
2K:!"K:!0" (!
H=>7#7?#2%
*+ , -+./02.0;7".J2
%)0;7"/8 )'! F22 !
%)(!F 2
2 )%)(!20;7"6$H !
2 0;7"5$2 !
&=>7#7?#H
2"K0;77#1 !
+,-&*5<#0* ! "5/"
#38988:;0.3C
0;7"5;077#*+ , -+./02.0;77"*
I 2
"##0;7771 22=>7#0;770M 2
91 % !
0;77;8 )H % )% ) 62! 0.#D %2 H
3
7& 6
#66 #6"6
B
B
B
B
B
B
8
2*+,N/6G0$+5/M/8+//K+5%H6)0-, *-)'T*%SR
T8),'L0+$+),$'L6$+(-$-7.S-),$'L),*O/),'NT/K+G/0'N/K+)*+,N/65$P
T$+56'L0+$+),$'L6$+(-$-7.S-),$'L),*O)*+,NT/65%0'5)*+,66$,/G*,$/5$P
T0+$+),$'L6$+(-$-7.S-),$'L),*,'N6'0$-),T/'*6+
$&+8/+a 60$/&7,0+$+&+.+/+0'5*1/'('H+&+/,M'5/'('6$L/+('0''1+T/%*5$-('+'$,/'
0;77<8 ) =>7#7?#!9) !
& H 2 '
"<+(0#+ 0;77.@
,-&*7.#57:,-&*7.#57 !
0;77/ 2 ! "#D
0;77;+0;77/*+ , -+./02.0;776$2
22) L
/<#$0;775C==29)
) 2 )2 2
0;70#&)) )H 22 '
.39#38988:;0
! (! H"##D&(! H"#Q (!H
H.H H"#1 %H ) 2 H.* ! )(
! 2 2 !L2%* ! 7## 7K
0;70"&)) 2) 2 %! )2!% 2!
: )2%)
0;707* I <#Q 2% 2
0;776+0;707*<7 -+./02.0;700 2HH !
22 H ! !
8) 2H : )! H
I 2H !
*7 -+./12.0;0$ 0;0":
2 ! 06#$+..#$1 2
: 2 %)2)
& !
I
$2 )2 2 !..#$
0;071 1JK 1JK% !) ! 2
* )0;0"0;07*+ , -+./02.0;001 !
%)
#38988:;0.38
0;0;1 ,-&*"/<</ 2%
- )!
2 007"0077*+ , -+./02.0;0<I !
)222 0;0.8 2
2 !
0;0/:2 !2 ) !
0;0.0;0/*<7 -+./02.0;0642 %!
2 0;05$ ==
H 2! ! H ) $ 2 $! H2
$&+8/++(6'-),$/&K&*,-6&',/')%,*,-6G6','$K+&'(-,K,N+(6'-5+/K$-6'L0$*K5+$(*/0$'*'5O?/-$G6+%PG,61+$+MN'*K+*,-6+MJ6) G/0$&+$G),'0'$T/K&(L6&)&'M,*+$5+*7.&)&'&
T 2 )%) ) 22 2) H ==
: 9 H !) $ %!
0;0"#8) H H ) 2! : ) ! H
0;0""T 6# 2 %) F2!2 0;;
0;06+0;0""*<7 -+./12.0;;1 0;;"& 2!
'! 22
,-&*"/<</(! % (! (! H ,-&*/055 H!
(
.3;#38988:;0
! )% (! 8
0;;71 H ,-&*/055!
,-&*"/<</: H !
0;;0&H ,-&*/055
1 % ==!
=== ))
&H ==H H
&H ===H! H ,-&*/05.#N
*+ , -+./02.0;;;8 H ,-&*/055
2 2 5&"6#D !H
]#"'))L)6'LY+5+$ 5+L),*-+,;2"B99ADD
D
( + 6 +6/9:+"
;+
+" 4
:'GB*6782*GB5'G*6784G4BG44BG43G4
GG3G9G
GBG9BGBGB
*+ , -+./0-12.0;;<@ )
)
* 2H )
- F2 * 2 ! H ! 2 *
@ !'
!H )! H 2 H (
!2 H ! %)(
#38988:;0.3I
!H ! 2 2 (
!H
H
*+ , -+./0-12.0;;.1
$ !
'"#"5";770;;/- 2)
H ) ! ! ))+
$) =) )
$ H)9 ) I!
*+ , -+./0-12.0;;68H F!
2
: 2!
1 ! % !9 '
!7<+2!)(
!;+ $
%! 2#"<
1 H!H 2 #"
0;;5$) H ! 2H
* ,-&*7/;.,-&*56#.H )6
0;;60;;5*+ , -+./02.0;;"#$ %!
L !
) 2 !L ) ! 2
0;;""8 ) )2!H 2
.0J#38988:;0
*7 -+./02.0;;"7: 9 2
H 2% !29 2 ! H %:9!) 2
0;;"0- H ! 9 H 2!9) 2 H 9
0;;";&H 2) !
&H !2
0;;"<& !2%2 !H
4 )2 9 )H
0;;"7+0;;"<*<7 -+./12.0;<* 0;<"1 2!
2 7<E< D& H "#8 % 1JK 9 2! "" 1JK 9 ! ""
3 . <(
0'$/%0'*+$S/'),NM)('$+&'('&,+$]\'6'N&0K-),+6%//'L6'K]]XM'% %0$'*'5'**/-,$+//+('&'/,10$)'+5/,+N/KS0$'*'5'*G?/-$'*G
6++LG/+0'5*+$(+&KS&+S/8+)6'L/($-M6+RTM$+M/KTM0'*/S'$5TM,+0'),'L6'('0'*/S'$5TM6$+&/L'$(/8+)6'L$+M/K0'*K?+//'L,*+$5'),XM'% %0$'*'5'**/-,$+//+('&'/,10$)'+5/,+N/KS0$'*'5'*G?/-$'*G
6++LG0'5*+$(+&KS&+S/8+)6'L/($-M6+RTM$+M/KTM0'*/S'$5TM,+0'),'L6'('0'*/S'$5TM6$+&/L'$(/8+)6'L$+M/K0'*K?+//'L,*+$5'),:+,MM'% '//KSO6$'&+6+$&6P&,+$'**M*)&'),',,00,$'T
/'*R
D9
DDB9
EED3
3 . <(
TcG#BTc9EG#99TcT)-6M/+&,+&0+$,-$K:+,M,+$&'$+6,*/KS0),&))O6$'&+0$'*'5'*0,$'/'*PRT0$+))T&))K/')/'*+J+/'N/KS)&')5$+*+)/K&/0'/,++&T0$+))T&))K/')/'*+J+/'N/KS)&')&/+$N/K&/0'/,++&T0$+))T&))K/')/'*+&+&/'*KS)&':+,M(+,/6),+6),',:+,G'6$?+//K+&'8+*/'J'$&N5+(5/K&H&%&:+,M$+M/KO/+5%M'% '//KS ++LPRT'K8/'LT)+6'/'*'L:+,M5+$+*G-&(G,+6),%,0#K678,+RT+M-6M/%,+&0+$,-$KT)-6M/+&,+&0+$,-$K"-6'%,6G6/'06,0G,61+/$-1/K+0'*+$S/'),G6','$K+*H6)0-,
O0$$',+)*+,N/6P0'5+1,8),'&-0$6')/'*+/7RTM&+,'*TM5$-(S&,+$'*&',60-)6'$+(-$-7.S00$,'*RT+M-6M/%,+&0+$,-$KG)-&1/'L0$'656'LT+M-6M/%,+&0+$,-$KG+M0$'656T)-6M/+&,+&0+$,-$K'$0-)6'/5+/),'$'*RT+M-6M/%,+&0+$,-$KT)-6M/+&,+&0+$,-$K!+0$*+5+//K+&,+$K'*+$S/'),N'd+6,G')*+.+&%H6)0'M '//K&)*+,N/6'&
BB99B]]]
A9BD
EDBA9
3B
BB]]]
EB
DB3B]]]
B]]]]]]D
]XM&+$+/%0$'*'5%,5%)*+,N/6'*G-),/**+&KS/+0')$+5),*+//'/'0'$/-70'*+$S/'),N]]c)*),/5$,S,+S/8+)6S-)'*%S/6'/6$+,/K+,0K($-00K&0/+-6M/5$-(%
,+&0+$,-$]]]:'0-),&%$'8%,+&0+$,-$G-6M//%*!:/5//KL&,+$M5++
3. <(
. <(
3
&',6"_,$/)J'$&,'T$R
T+M-6M/%,+&0+$,-$KT)-6M/+&,+&0+$,-$KR
DDBBB9
E
EEE3BD9939
9B
'$0-)6'/5+/),'$RT+M-6M/%,+&0+$,-$KT)-6M/+&,+&0+$,-$K#),$*+&K+)*+,N/6RT7%8),N)0K,,+N/'('0'T
,'67%8),N*),$'+//'L0'*+$ST
/'),
999
^
B
BB
*+ , -+./0-12.
#38988:;0.03
0;<7& 2
*+ , -+./02.0;<0C)
% !
0;<;8H
))
2
0;<<$ )
) % )H
'
5#D&+ (
"0#D&+
0;<;0;<<*<7 -+./02.0;.&
&
8
A.'D&6DEK&
;"& ,-&*"7"##;
;7C)
2
*+ , -+./02.;0&
;0"+;00
;0"$
2 1JK 9 !
2
;07& 7"
7"C;#
- 1JK !
0<1JK 0< !
2"#
* 2 )
)
;00& 1JK 9
2 7<E< D& ""!
2 H2"0#D&8 !
H !
7
;;&
2 '
! +;07(
! 2 2 !
7<E< D& H2'
"7#D&+
""(
.00#38988:;0
#38988:;0.01
"/<D&+) !
;0+;;*+ , -+./02.;<+;/*?<-+./02.;6$2)1JK
1JK
*+ , -+./02.;5*?-+./12.;"#& )
%!
22 H
G
H
- !
H
*7 -+./12.
C.!K
<"$'
!(
!
% +! (
!1JK2 (
!%)'
,-&*7.#"+
(
,-&*7.#.+
8%)
B !
<71 ! !
)%) H
21JK 2
H
<"<7*+ , -+./02.
9.K'&&K'!
.":
!
9.0.K,+<7< .7"1 F!
"7
G 2 2
.0A#38988:;0
9
#
) #
#
#6 #"
$'*+$6*'M5+L),*%&+S/T8+)6SJ6,'$'**/+?/+L)$+5K0$,$/)0'$,$'*/
9$'*+$66'/)+$* -06'*T6
XM&+/+/+)'0$',*+/%M'T% *S''5/'&'+),'8+//'&)'T),'%/0$/'$&N/KS6&,8+)T6S-)'*%S)0K,/L
$'*+$60$*N/'),)'$6H+6,$'&'/,1/'L)S+&K
B$'*+$6/8%0$*N/'T),&$6$'*6
$'*+$66'&0+6,/'),EX)0K,/+/*('-),'L8*'),N3X)0K,/+H+6,$8+)6'L0$'8T
/'),M'% * S''5/'&'+),'T8+//'& )'),'%/ 0$ /'$&N/KS6&,8+)6S-)'*%S)0K,/L
D2*+,',+S/8+)6+M&+$+/%$'*+$6M.,/KS)'+5/+/LXM&+$+/+6'HJJ +/,&'.T
/'),
9$'*+$6),+0+/M.,K''T'8+6
X)0K,/+/$5'0'&+S
X)0K,/+/-$'*+/N?-&
B$'*+$6)'',*+,),*%($,T/KS-),/'*'8/KS$M&+$'*8+$,+T1&
$'*+$6&))K
E$'*+$60$'8/'),&$6$'*T6
3X)0K,/+$-8/KS)*+,N/T6'*6*'M5+L),*7'5/'8/KS-5$'*
DX)0K,/+-M6$+0+/%/$),%(*7.++-)+
9X)0K,/+-M6$+0+/%/*'M5+L),*+6$-,%.+('&'&+/,
9X)0K,/+-M6$+0+/%/*'M5+L),*+M(7.+('&'&+/,
99X)0K,/+0$'8/'),6$+0+T/%0,$'/'*
9X)0K,/+&+S/8+)6'L0$'8T/'),6'$0-)'*H+&+/,'*G'+)0+T8*7.S+M'0)/'),N
90$+5++/+-),'L8*'),/T0'N/KS/),'N/KS)*+,N/6'*
A
A
^
^
^
^A
^
AA
A
AA
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
9
9
A9
A
9
9
9
A
A
A
A
A
A
A
^
^
^
^
^
^^
^
^^
^
^^
^
^
^
^
^
^
^
^
^
^
^
3
3B
9
3A3
B9
99
9
GBG99B;23E
9 9G
G9B
3;2E
9B
9;23B
9D9G9EG93
99E
ED
E3
E39
EB
E
EEEB
E3
EDE3
E3
E3BE
E
E
E
E9
EB
EB9
EB
EBEBBGEB
EBE
EBD
A
A
A
A
A
AA
A
AA
A
AA
A
A
A
A
A
A
A
A
A
A
A
#
#" 8(!=>?>1
66
"
#"
A
A
20'?/'L
e
#K'$'8T/KLeA
#K'$'8T/KLAA
A
AA
A
A
A
A
A
A
A
A
A
A
A
.
#38988:;0.0C
#
) #
#
#6 #"
9BX)0K,/+&+S/8+)6'L0$'8T/'),0$'*'5'**/-,$?$/$'*
9$'*+$6-(0'*'$',?$/T$'*
9E$'*+$6J6) ?$/$'*93$'*+$6-),$'L),*5%M.T
,K0$'*'5'*',/,%1+/%)6$-8T*/%
9DXM&+$+/+,+0'*'('$+1&
$'*+$6*'M5+L),*%,+&0+$T,-$0$5,+N/'L$',+
$'*+$6*+$'%,/'),*'M/6T/'*+/%0'1$
9X)0K,/%/-),'L8*'),N6*')0&+/+/7
X)0K,/%-),'L8*'),M'T% '//KS5+,+L6,'6&0'*+$ST/'),/'('$M$%5
$'*+$65'0-),&'),-),T/'*6/)('$+&KL&,+$
B$'*+$6-),$'L),*5%$M$%5T66'/5+/),'$'*
X)0K,/+),$+/%$+M/'*KS5+,+L
E$'*+$6)'',*+,),*%5+,+L)'$'8/KS+5/ $'8+L5'6-&+/T,
3$'*+$6M.,K',6'$$'M68+),*5+6'$,*/KS0'6$K,L
D$'*+$60$'8/'),) +0+/%6'6$)'8/KS0'6$K,L)')/'*/K&&,+$'&
$'*+$66'/),$-6,*/KS,$+T'*/L
$'*+$6H+&+/,'*G0$+5/MT/8+//KS5%0$)'+5/+/%)*+,NT/6'*6)+,
9X)0K,/+$+MN'*KS)'+5/+T/L$+MN'*KS)N/6'*
XM&+$+/+0-,+L-,+86*'MT5-?/KSMM'$'*
X)0K,/+/'/$-1+/+$+TM'//)/KS8),',
BX)0K,/+/*$'-),'L8T*'),N
A
AA
A
A
A
A
A
A
A
A
A
^]
^]
^]
A
A
A
A
A
A
9
A9
A
A
A
A
A
A
A
A
A
A
A
A
9
A
A
A
9
^
^^
^
^
^
^
^
^
^
^
^
^
^
^
^
^
^
^
^
^
99
9999B
BGBGBB
B9
9
9G
9
9B
9B9GG9G9G9EA99G993A9G 3AGBAB9A99
9G99G9
EB
EBEB9
EBEAEGE
E
EE
EE
E3EEE
E33
ED
EE AE9
E
E
E99GE
EB3
E3
A
A
A
AA
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
9
#
#" 8(!=>?>1
66
"
#"
.
A
AA
A
A
A
A
A
A
A
A
A
#K'$'8/KL
e
e
A
A
A
A
A
A
.09#38988:;0
#
) #
#
#6 #"
X)0K,/+/*$'0$'8/'),N5,+N/'+
EX)0K,/+/*$'0$'8/'),N6$,6'*$+&+//'+
3X)0K,/+/-5$/-70$'8T/'),N
DX)0K,/+/-5$/-7-),'LT8*'),N
BX)0K,/+/*'M5+L),*+'5T/'8/KS-5$'*
BX)0K,/+ / ,+0'-),'L8T*'),N0$H6)0-,
B9X)0K,/+ / ,+0'-),'L8T*'),N0$,+&0+$,-$+,$/)0'$,$'T*/%S$/+/%
BX)0K,/+/*'M5+L),*+)&+T/K,+&0+$,-$
BX)0K,/+/S''5'-),'L8T*'),N0$H6)0-,
BBX)0K,/+/S''5'-),'L8T*'),N0$,+&0+$,-$+,$/)0'$,$'T*/%S$/+/%
BX)0K,/+/*'M5+L),*+/+%)0')+5-7.&+('',,*/+&
BEX)0K,/+/*'M5+L),*+)'T/+8/'L$5
B3X)0K,/+ / 5/&8+)6'+*'M5+L),*+0K
BDX)0K,/+/),,8+)6'+*'MT5+L),*+0K
X)0K,/+ / ($'-),'L8T*'),N
X)0K,/+/*'M5+L),*+)'T%/'(',-&/
9 X)0K,/+ / S&8+)6-7),'L6'),N
X)0K,/+/),'L6'),N6*'MT5+L),*75+M/J $-7.S)$+5),*
X)0K,/%,+$&'),'L6'),5+T,+L)*+,N/6
B$'*+$6-),$'L),*',$M$-T?+/%&0K
XM&+$+/+ M/8+/% -,+86,'6
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
!
!
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
^
^
^
^
^
^
^
^
^
^
^
^
^
^
^
^
^
^
^
^
^
9G99G99G99G99G9
9
3G 3E
9
9
3G 3E;23B
9
9
9
9
9
9
9
B
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
E
EE
E3
EE
E3D
B
9
99
9B
9
9
9
9
99
9
9
9B
A
A
A
A
A
#
#" 8(!=>?>1
66
"
#"
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
.
$&+8/%RU)'*/K+''M/8+/%G0$/%,K+*, +Re^4 A)0K,/+0$'*'5%,CeA4 A)0K,/%/+0$'*'5%,Ce!4 A)0K,/+0$'*'5%,G+)H,'-6M/'*),/5$,S,+S/8+)6S-)'*%S/6'/6$+,/K+
,0K)*+,N/6'*G'5/$M*9&+)G0$H,'&0'6$L/+L&+$+'5/'M)0K,/LO5,+NT/'+6$,6'*$+&+//'+P%*%+,)%'%M,+N/K&C
] A$+6'&+/5-+,)%0$'*'5,N*0$' +))+0$'M*'5),*5')'$'8/KS'0+$ LC9A)0K,/%0$'*'5%,'5/$M*9&+))'',*+,),*+//'
#38988:;0.08
9d+&)0K,/L6'/6$+,/'(',0)*+,N/6'0$+5+%+,)%*M*)&'),','d+&,+S/8+)6S,$+'*/LG-),/'*+//KS*),/5$,S,+S/8+)6S-)'*%S/5//KL,0($-00-)*+,N/6'*
2*+,N/6G0'5*+$(*?+)%0+$'58+)6&,0'*K&)0K,/%&G0'),*6+/+0'5+1,#,+S/8+)6'')/'*//KS)-8%S5'0-)6+,)%M&+/+/+0')+5'*,+N/'),0$'*+5+/%)0K,T
/L6-;')'))+#'(/*+8-;<8 7
.771 ,-&*"67;7N % "0";1 F 7.H H
]#"'))L)6'LY+5+$ 5+L),*-+,;2"BEEDEADD]]B60=2')8-;<,7
0)()&$%')2&9)�+
5@ @"
1>?,
A1,==,,,,
=1,=A1,,
0,==1,,
1B=0,,
=0=1B,
?==0,
=,,,=A0,,,
U)+//KL6'/,$'N
!'$& N/KL6'/,$'N
+(8+//KL6'/,$'N
d+& *KT'$6
$+&'8/'+8)'
W$6'*'8/'+8)'
d+& *KT'$6
$+&'8/'+8)'
W$6'*'8/'+8)'
d+& *KT'$6
$+&'8/'+8)'
W$6'*'8/'+8)'
B
B
9
3
3
9
9
B
9
9
9
9
9
3
9
9
9
9
9
B
9
B
9
3
3
B
9
9
B
9B
B
9B
E
3
B
]]
0)($5&$%')2&9)�+
5@ @"
1>?,
A1,==,,,,
=1,=A1,,
0,==1,,
1B=0,,
=0=1B,
?==0,
=,,,=A0,,,
U)+//KL6'/,$'N
d+&*KT'$6
$+&'8T/'+8)'
BB
33
9
*#
T%9T%
T%9T%
BB
33
99
99
.0;#38988:;0
5@ @"
1>?,
A1,==,,,,
=1,=A1,,
0,==1,,
1B=0,,
=0=1B,
?==0,
=,,,=A0,,,
U)+//KL6'/,$'N
!'$&N/KL6'/,$'N
+(8+//KL6'/,$'N
W$6'*'8T/'+8)'
d+&*KT'$6
$+&'8T/'+8)'
W$6'*'8T/'+8)'
d+&*KT'$6
$+&'8T/'+8)'
W$6'*'8T/'+8)'
99
99
99
99
B
BB
9
BE
99
9
ED
BE
33
3
ED
99
3
39
*+ , -+./02..701 F!
21 2! F 2F
.7;1 2 F 2 F 2!
9 291 2 2.70.7;*<7 -+./02..7<*?-+./32.9.1.K,7< .0"1 ."7
H !
*+ , -+./0-12..07-F 2F !
"0";-F +,-&*".6;7N
*+ , -+./02..004 F"7.0;1 !
2 .0<T .
*#
T%9T%
T%9T%
T%9T%
T%9T%
T%9T%
T%9T%
T%9T%
99
BB
99
99
99
99
33
99
99
99
BB
B
99
99
33
99
B
BE
]#"'))L)6'LY+5+$ 5+L),*-+,;2"B9ADDOM5+)N5++P
#38988:;0.0I
.0.J2 9! H "0";
.0/1 ! 2
1 F !
$
J 22 21 F2 2 2.061 !
2.05*?-+./02.9.A.7<7< .;"* )2
! ) %!
.;74 -F !2 "7
.;01 H) 2)2)
.;;J9 2 2 ) 2 2
1 F2 2 2.<:
!
G 2 29
8.!%(K(&)
8.3.&77,,@,+, /"":
<#,) T9
H#<Q%99 H H0Q%99
/"78 % '
!"#+ )% (!"#+)9 (!#7 #< +
% (!#<+1 !
9 1 2 % !
: 7< % )+% ! ;
.1J#38988:;0
* % 2 ! H0Q 2% H7Q!
L 2 H
/""/"7*+ , -+./02.8.0. 7, 7<=/7"4 !
,-&*".5.7 $
)/774 22 %!
2 2 H
:'! % % 2
H % % (
! %% % !
2 L%2 2)
*+ , -+./02./701
2/7" "7 !,-&*".5.7
/7;&
/7<1 ./
*+ , -+./02./01 )
) ! 2 !2 2
*+ , -+./02.8.A.K,,,<7,<=< ,,/;"I %
2,-&*50#71 2H
& ! H! 22 )
/;7L2 %)2,-&*5;#"1 2H J22 ! H
#38988:;0.13
& ! H! 22 )
/;"/;7*+ , -+./02./;01 ) 1 ) 2
H4 )2 H <#( HJ .#"H.#+7
1 2)J2 H!
H H 2
: ) !! H !
/<1 % 2! ! %)
:! % 2
@1JK2! % ! 2%%
: % !2)2 % 2 H F
*+ , -+./02.8.9.K,,+,,/."1 H !
)/.71
H2 ,-&*"6.7#1 ! 2
/."/.7*+ , -+./02.//1 !
)8.;.K,,@,,=/6"* 2H & !
2 ! 2 .$I2!/#$SK
G# "#E" K4 ),-&*";7<;
H % 2% 4)0#E" 2
& $-2
.10#38988:;0
/674 ) $2!2@2)% ) !)
1 ) H !292H
& ) 2 "##$) ;7$ <##$) !H;7$- 2 ) !" 1 !
I )0 % '
! 2 9(! 2
2 (! !
9 ) 2 (
! 9 2 2)) !
/6"/67*+ , -+./02./604% ) !
2/674 <#,)2!
#<$SK4 7#2 2""#2
: " H7<Q
$==222)2! H!0)
J2 H )
* 2 2 )
*+ , -+./0-12./604% )2!
&2 22!
0#1 2 % 2 :4 ! 2 0#G2 2 22! 0
1 ) +/60*7 -+./02./6;8%99) 2 01 2 % 2 2 !
& ' 2 28%99)WXYϕ!29
#38988:;0.11
ϕ =⋅
( + $(! + $(# + K
1 9 ! 2229: %99)29 Q+$,
/6<1 ,-&*";7<; % =>P<"<
1 ! $22
12 : !2 % 2
1 !H ! !
1 2),-&*";7<; % 2
$ 224)2 !
20#E" J2 % )!
)/6.4 H 2 !
0I 2 !
20#E" ),-&*";7<;H @ 22H 1 ! H) !9 M22 !1 %% H
*+ , -+./12./6/4 )
% ; 2% 2L !
4 %
"/<E< $<#,)) % "#E#" K WXYϕ#5$)% 2 #<
4 ) "<C"<2 2 2% "E#" ;
12% ! )2 H ! 2) % 0#+;#
J ) )2#"QF7#( +0#E<
.1A#38988:;0
J2% ! H% <#
T% H7# !2 !H H2! !
*+ , -+./0-12./661 !
H!2
4 !2 2
J 2 ) H
C%DC ##"&DC&%
Q+$,
/654 9!
"" 4 & !)7###E<# -
*7 -+./12.8.I.!<+,=/5"& 7<E< D&
E7D&;<Q6#Q9 6;"#/1
$ H".
.
* "
#
a.,/KL-('
f$6'),N
:)*+,N/6'*RT0$%&'('',$1+//'(')*+,'$)0$+5+T+/%T5$-(S6))'*)*+,'$)0$+5++/%
2)*+,
)*+.+//'),N
gB
gg
g
g9
g3g
g
g@
g
/57K /57"4 9 H M H ,-&*"/.".2!
'! H H
2)+ (
!% 29 H !2)+ H
#38988:;0.1C
J % % H 2! H (
!2) H (
! H ) H
1 H ,-&*"/."./5774 9
,-&*"/.".J 9
,-&*"./#0M )
Z ,-&*"./#02 E"<
[ ) J 9 ! %
J9 H
) +! + H
/5704 !
@
!
/57"+/570*+ , -+./02./57;M !
2 '
!9 "### < H7Q9(
! 9 9) %99 ! ,-&*6007 1 ! 9 !
!(
! ! "#+"< !2"##+"<#Q
/57<: 9 % !
2 2 )2!29 9 1 )E7Q 2 999 !
/57.: +
2;1 !
!
.19#38988:;0
1 % ,-&*<5.7N*+ , -+./02./504 /50"$2 2:
2 <QB2) 9 !
) /5074 '!+ <2
(! + "<
2 (!2)+ H - <&29 :!
2 % %99)
/500&2 ! 22 9 ) +) 9
1 9 + ) 9 ! 9
/50;: + !,-&*"./#0 α#D"6#D ∆α 99 <D
:) ∆α\"D+7D
: 2
8 !
4 2)99 ! + )
(
,-&*"./#0 !
α<D"/<D ∆α\"#D #D5#D"6#D:2) !
H ! )
(
!
),-&*"./#0 ∆α∆ϕ <D
/50<4 9 2) ! ,-&*"./#0
:99 )
(
/50.1 : % 2!
7J % H
1 2#D5#D"6#D
]#"'))L)6'LY+5+$ 5+L),*-+,;2"BB9A9
#38988:;0.18
& 2
/50/&#α#ϕ
#αβ αϕβ 2 9!
& #α29
#α\*α
S+
,α\-. +9 α](
- +% 29 ! (
/ )O(+ + )
$ 2/50./5061 2
"####
9
#
\0S#αβ
0 +%99) (#αβ + αβ8%99) 029
= ΣΦ
ΣΦ+
: 2!2
& Φ 29!
H 29
Φ\Σ#
Ω
#+ 9!
#"6#D <D(
Ω+ G .&2)Φ
29 H
,-&*"/.".: 2) 9
Φ\57#
# + &2) 21JK!
/505* 22%99)9 0
78%99)9 0
29
1
=
#
+ (#
+ 9%
G#229 '
# ==∑
D
αα
+9 (
.1;#38988:;0
# ==∑
D
αα
+ 9
#α + α( α + 9 <D"<D7<D/<6<D5<D"#<D""<D".<D
"/<D/5;- %99)/5;"8%99)η 2 )
'!/5;7(/5;0 /50(! 9 H /5;;/5;78%99) 2H
ΦΣΦ
2 7<D&
η = ⋅ΦΣΦ
"##Q
/5;0&29 "/
E
2*+,N/6)&0&/6*/%$MT$%5/K&&0&*K)'6'('5*+/%R
T5%)*+,N/6'*GJ','&+,$8+)6'+,+'6'T,'$KS&++,')N)&&+,$
T5%)*+,N/6'*GJ','&+,$8+)6'+,+'6'T,'$KS&++,0')6'),N)&&+,$
2*+,N/6 ) 7&/+) +/,/K& 5$-(&,$-8,K&&0&R
T5%/1/+L0'-)J+$K
T5%*+$S/+L0'-)J+$K
* E
Φ Ω = ⋅=∑ α α
α
Φ Ω = ⋅==∑∑ α β αβ
βα
Φ ==∑
αα
Φ ==∑9
αα
$&+8/+ Ω α AM'/N/KL,++)/KL-('G)'',*+,),*-7.Lα
G)$C
Ωαβ A,++)/KL-('G*K5+%+&KL*0$'),$/),*+MM'/N/'('-(Ωα5*-&%&+$5'/N/K&0')6'),%T&G6''$5/$-7.&-(&βG)$C
β AH6*,'$N/KL-('G($5
8%99)0 2H∆Φ
!
) αα
!
8%99)0
29
0
=
−−
=∑9
9
ϕ ϕϕ ϕ
ϕΩ
ϕ + ,-&*"./#0 (Ωϕϕ + )
ϕϕ
#38988:;0.1I
: 2J$-%99)0
29
:H %99)0!
2 α
/5;;8%99)9 H η )29
η = ⋅⋅⋅
"##
--
-
-
+% )
2 (-
+ H 2$
2(-
+ H 2$2$!
,-&*7705(-
+ H BH 2!
22 I ,-&*"/.".1 2) ! 2 27<D& %99),-&*.67<2 2 $!2(
-
+H BH 2!21 9
*+ , -+./02./5<4 /5<", 2 2 9 %
9 ! H 29 ) +) 9 :2)! (
,-&*"./#0
1 ∆α
, 2 2O29
2
= α
α
#α + α(Kα + ) !
2 2 : 2 2
:%2 ! ) 2 2%
1 ! 2 !9
2
= ⋅α
α
ΦΦ
Φ + ( Φ +
.AJ#38988:;0
/5.4 %99) /5."8%99) ρ ρ
2!
)! %99) 29 '
ρ ρ ρ ρ= =
ρ ρ
+%99) !
(-
- +H% )9
@ )%99) 2 9 )
:%99) ! ! )
/5.78%99) 2 7#D
/5/4 %99) /5/"8%99) τ !
2,-&*"##0./5/78%99) τ !
2H HH )2
4 F29 H !;D )!29
τ =
-
-+H% )9
@ )%99) 2 9
/5/0- H %99) !H<Q
*+ , -+./02./564
!
/56"4 22 /570 0#D"<#
/567& ! 2 ) + 1 )) ) + -) ) % )
1 )) 9 /560 !
) + ! )) !)
-
#38988:;0.A3
/56;&2)2 !) 2 ! 2
J
*+ , -+./02./56<$)
1 ) !
9 2:2 H 2
! 2
/56.1 ! 22 !
/558%99) ) 29 '
!
3 = − =∑
"#
9
∆Φαα
(
!
= ⋅ ∑ ∑−
= =
α βαβ
∆Φ
∆Φαβ +αβ 2Φ \"###
/5"#- Gγ
!" <+/ 22 !
2 2 29
γ
=
γ!"
+ 9 (4
!"+ 2
% 2 H(+
!"+ !
% 2% H
Q+$,B Q+$,EQ+$,
: !)
*+ , -+./02.
.A0#38988:;0
/5""8%99)0# 29 !
0
# =
#
+(
#
+ 9 +!
/"#4 ,-&*".6;7G%
/5""/"#*+ , -+./02./""4 H ,-&*
"7"#768.30.K,,7, /"7"*?-+./02./"771 H
2 H ! ! % 6E#< 1 % )J2 !
8.31.K,,,=,/"0"1 ) 2!
) H 2
/"071 H2 2
1 2 !2 2 H2"# % !2
/"001 9 H 2 2
*7 -+./12./";1 H H!
2#<Q&2) !
J 2! H 2 )
8.3C.!<+7<=/"<"1 2
2 &H2H ! ;#C;#C<$ <: 2 9 - I $ H ;##E" & !
#38988:;0.A1
H 21
G 2 H "##E" &2 H H H!
9) !H 22 :9 ) 2
*+ , -+./0-12./"<74 2 !
2 ' 2 2! 2 ) @HH 2 H
: HH )
&2 H H !9 ) ) H H"#
*+ , -+./02./"<01
G 2
$ '
"<+2 ("#+1 !
&2 H 9 )
*+ , -+./0-12./"<;1 2 !
G 2 2
$ +" : !
)2"#S&2 H 9 )
*+ , -+./12./"<<4 2!
& 2@HH ) 2 H )!
$ 22 ),-&*7/;.,-&*56#. 2
@2 !2H
$ +"4
.AA#38988:;0
&2 H ! H ! H HH! ) 0.#D
*+ , -+./02./"<.4 2) !
2 & 2! 2
1 +" 4!
&2 H H !
/"</4 % 2 2/1 2 22 ! $ H%!2 7O0.G !
2% 2 1 ! %
4),-&* ";7<; H 2 0#E" 2
&2 H'
! (!2
(!%99 2 (! H(! H) H % 2 !
(
! 2 ! %
1 2! H2
% H H2 % 2
*+ , -+./02./"</"&2
C"/DCDC 6
Q+$,E
22 2 & 2 !
/ - 2 H! 1 H <##E#< #<"#E###" "0#E##" % 2 .<S
: !2 2
&2
H2! <E7 D& 2 % 0
#38988:;0.AC
J2 !2 H%)2 9 J H 2
/"</7J2 2!2 2 2 &!2 2"##E##< % 24 % 2 5#D4 2
-)+/"<//"</"/"</"/"</7*<7 -+./12./"<64
/"<6" 2
" !
& 2 H H
/"<67$2 2! G H2 " .
&2 H2 /"<60J 2 "
/$ 2)
&2 H2 /"<5- 2
9 2"#DE#<D&29 1 9 2&
J2
/"<"#4 ! H %!
-H % 2 !2+ 2 .##)O
^ H 2
&2 H H H)) H %% ) !20
/"<""1 H
/"<"71 9) 2 J 29 2 2
8 H 2 2$ +"1 %
.A9#38988:;0
/"<"0@ H !2H HH !
1 2.
G 7<) H ")OG)H 2 #<E#"< 2 2
$%H 22 !8 2 $ +"
&2 H H!H 7 7#E" H H
*+ , -+./02.8.39.!<+7<=/"."-F HF !
/".7& )
"##I- !
/".04 1 2 !
* % !
) !6J % ! 2 % ! 7#0#
8 % 1 ) !
4 !
'.#$2 T7/$77(;#$2 T";$"<422)
H 1 2B*4 2 H
)'"7#
D&+2.#$)T7/(
"7<
D&+)$77("0#
D&+2"##+0##$)T7/(
"0<
D&+)$771 H ) 2 : 2
!)*: 4 "#<
4 !"#. 1JK""#+ 1JK,-&*".6#5
#38988:;0.A8
4 1JK 9 5$ !
1JK ""#!+ 1JK
* 2 2 ,-&*".6#5
& 2 ) & ) 2H
* 2 H - ! <
&2 H % H<D& %
1 )% ! H22
*+ , -+./02./".0"* )H
))! 2/".0 &!22 H ,-&*/0551 22 2 H %)!8H 2% 2 !)
J 2'! )H H!
"#(! ) H!
"#) !
/".07* % )H !)) 2/".0
$ 2 6 &!
2 2
2 2
2
7<E7 &)) 2
6 1 ! 2)% 2 1 ) !) 2 9 ;< 1 9 ! ;< 7<E" &
2
2) 2 !) 2 7<E7 &!
2 2
2)! 7<E7 )!
.A;#38988:;0
2 .#E7
&)2)) 2)) 222 2 !,-&*".5.7
J 2! ! H"##D& 2) H"7<D& )! H"##D& 2 H5#D&
1 2! H"0#D& 2) !H"<#D& 2 H"0#D&
/".0"/".07*<7 -+./02./".00@H=J7#76 #
*7 -+./12./".;1 !
2 5V"#D_5\7<D& ! * 2E7D&&!2 H
2!/".0 + ""#
&2/".01 )% 2H2%!4"#)$ )7#2;+2
1 H !)/67
&2 H H ! 9 9 ! G % !)% HI & !)7#I-
*+ , -+./02./".<4/".<"4 %)
2======```=`==`=== 7#/,-&*".5.7
1 2 < )/67% 2 )/60 % #. !
/".<74 ;,-&*"<"<# 7<E< D&5<E0 Q".62H=>7#76#,-&*";7<;=>7#76#+;6
#38988:;0.AI
1 L H % !2 22
1 2 !2% 2 )/67/60 <
/".<"/".<7*+ , -+./02./".<01 2
7; 2H 2/</".<;J2 )
20 H ) 9) 2 H :!H ! 2 & 2 2
/"..42 ,-&*7;.60
/".<;/"..*+ , -+./02./".."*?-+./02./"./42
9) 2 ,-&*7;.60*+ , -+./02./"./"*?-+./02./".6* 2
a5V7< E<bD&H"7<D&5+H 9 ! /".0
C % 2 a5V7< E<bD&/<D&
J2! "229' )( H2 %! 2(% !(2 (9 ) H2
*+ , -+./02./".51 2 2
HH94 ) 2 7;# H9 /#E7 D& 2 2
J2 )9)
8.38.K,,,=7/"/"L) 2!
2224 )2 "<C"<
8 ) ! ,-&*7#;;6 #<E#" 4 9 %"7#E< ) "7E7
L2 H H0# 2% 22 "#E" 7<#E< %
.CJ#38988:;0
1 2H
% 2 2
/"/74 2 !
H 2 !
)
* 2/".0 2'
!2 ""!
/".0 H !
(
!2)2
#5( "# "" 2
'
7#Q )
2H2 (
(
% H(
$ 2 H
G 9 62
&2 H ""!
H"7#D&2!
)% 9 6
1JK0<#D& "6#D&
/"/"/"/7*+ , -+./02./"/0$ )
!
2
9 '
!
)\#5#0a)%)%&V)%& V)%S)%b(
!2)
)\#5#0a)
'%)
%&V)
'%&S)
S)
% V )
=∑
S)%
b
)%
+ %)(
2"6(
)%
\" + T";2.#$(
)%
\#< + T";2;#$(
)%&
)%&
)'%&
+
1JK (
)%
+ 2( 2"5(
)'%
+ %) ( 2
7#(
)
+ 1JK !
) ( 2,-&*".6#5(
+ %)1JK7! ( 2
,-&*".6#5(
8 + 1JK( 2
,-&*".6#5(
)%
+ 1JK
#38988:;0.C3
/"/0"$ )%&
! )
%& 1JK)
'%&
29
)&\"+) α
) α + 27"αGα29
ασ
=−
+ 1JKD&(
+ 1JKD&(
σ
+
T99
&)
&\"
Tα \"0)&\#)
"\#
3
! & 8(!=F=,,
=0 10 2, >, F0 =,, =0, 1,, A,, 0,, F0, =,,,
c9EO5%)*+,N/6'*5%1KS0'&+.+/LP
c9EO5%)*+,N/6'*5%'.+),*+//KS0$'TM*'5),*+//KS 0'&+.+T/LP
c
G9B
G
A
G9
G9B
A
GE
G9
A
G9
GE
A
G9B
G9
A
G
G9B
A
GB
G
A
G
GB
A
A
G
G9B
A
A
G
A
A
GB
A
A
G
]!+M*),',8)&0*)*+,N/6+
$G "+ #*
$&+8/%R
U)'*/K+''M/8+/%R
AM&+$+//%,+&0+$,-$0$'*'5G@2C
A0$+5+N/%,+&0+$,-$/($+*0$'*'5O)&,PG@2
9c)
%
GEBG,'*J'$&-S*+$'%,/'),*'M/6/'*+/%0'1$O P',)*+,N/6'*/+
-8,K*7,c)
%GG,'h
$'&+1-,'8/K+M/8+/%*K8)%7,0'J'$&-+
D
%
b
GEB
GD
G3
GE
G3B
GBD9
GD
GEE
GDB
GD3
G
G
G
9G
.C0#38988:;0
( )
= +−
−
−G
(5+A )'',*+,),*+//'G,8/'+M/8+/+5%,8/KS
M/8+/L&+/N?+(''N?+('G
8+&0'-8+/'0$)0K,/C
%
A1L?+,8/K+M/8+/%
)'',*+,),*+//'G&+/N?++'N?++G8+&0'-T
8+//K+0$)0K,/
$&+8/+A$+1&$',K"_G*'M/67.L0$6'$',6'M&6/-,'&6'/5+/),'$+Ca2A$+1&$',K"_G*'M/67.L0$/+M1(/&0KO5,+N/KL0-)6'*'L$+1&P
*.;H ( 6
#".;H
".;H
(6 #"( #"I.;H
#".;H
".;H
5/'&0'*KL"_
:*-S&0'*KL"_
!'++,%1+KL/'T&N/KL$+1&#+$'%,/'),N /),-0+T/% /'++ ,%1+'('/'&N/'('$+1&
!'++,%1+KL/'T&N/KL$+1&#+$'%,/'),N /),-0+T/% /'++ ,%1+'('/'&N/'('$+1&
^2
G
A
A
2
G
A
A
2 O 2P
G
A
A
2 2
G
O^2P^^O^2P
G
O^2P^^2 2
G9
9
9
)2')*'.$)/**
α Θ9α: α Θ9α:
GGG9GGGBGGEG3GDG
9G9G9G3GG9GGG3GG9GG
GGE3GBG993GGEGGDGBBGGB
GDBGD3GDEGD3GD33GDDGDD9GDDEGDDBGDDEEGDDEEGDD39B
α Θ9α: α Θ9α:
GG9GGGBGGEG3GD9G9G9
GDGEGEEG3G393G3B9G3E9G3DGDGD9GD
G3BGBG9BG3GEG3GDGGG9GG
GDD3BGDD3DEGDDDE3GDDDBDBGDDDEEGDDD33EGDDDDBGDDDD39GDDDDD9GDDDDDGDDDDD3GDDDDDD
8 9%&
\706D&8 2 9
%& 277'
9
+ (#%
+
#38988:;0.C1
$&+8/+:%,+6-8S&,+$'**&+),'M/8+/L5'1/K)0'NM'*,N)%M/8+/%
8 2 1JK 2,-&*".6#5
& 22 [ !
1JK % σ [!
29 '
9
=
∑
(
σ
=∑ −O P
9
9+ 1JKD&
$&+8/+c)M&+$+//%,+&0+$,-$'0'$/'L0'*+$S/'),&+/N?+M&+$+//'L,+&0+$,-$K*,'86+O)&,9PG,'0$$)8+,+'0'$/'L0'*+$S/'),)0'NM-7,M/8+/+,+&0+$,-$KGM&+$+/T/'+*,'86+
/"/07* % 2!70 2 0<E< D& "" 7
4 2 !2 1 ! 6
/"/00* 2) 2! 1JK7#
/"/0;* 2 '
.#$+ T";(7##$+ T7/(
99
'
! <(G
;+,/6)+6),',2,+6',+6),','),$''H,+/RT*K)'6'('5*+/%T/M6'('5*+/%'*/S'$5O#VP'0$'0+/'&+,&+,6$,O'$(),+6'P'H,+/,+$+J,,O*)/P'&5KO60$'/P'6$'/,_&/'0),KY+/'0),K O0$+))T0'$'?6P / -T
&1/'L')/'*+2,+6'0),6
AAA9AAAA9B9B9AAAAA
93BB3E9AD99BB9BB999B9
3BEBDEB9BDAABBAEBBE
]:%/+-6M//KS&,+$'*,+&0+$,-$-'0$+5+%7,0';29
.CA#38988:;0
9
( (&#
]
!*/-,$+//+L0'*+$S/'),$))+*,+T%OH6$/$-7.+L$+?+,6P*M'/+0$'+6T '5/'('M6,'5/KS0%,+/&0KGT1L?+('6"_
!/$-1/'L0'*+$S/'),)*+,N/6RP )*+$S-0')+$+5/+0$'+6 "_A
5%0',''8/KS*),$*+&KS)*+,N/T6'*C
P*&+),+6'/,6,$'*/%-M0'5*+))0','6'&A5%0'5*+)/KS)*+,N/6'*C
*P*&+),+/'N?+('/($+*6'$0-))*+,N/6G)'0$6)7.+(')%)5+$+*%/T/K&.,'&GA 5% /),+//KS )*+,N/T6'*C
(P*)+$+5/+')/'*/%)*+,N/6A5%/),'N/KS/0'N/KS)*+,N/6'*
!6'$0-)+O0'*+$S/'),P/'++/T($+,'('"_
!M'% 0$'*'5'**/-,$+//+('&'/T,1*&+),+/'N?+('/($+*
A
!*/-,$+//+L0'*+$S/'),$))+*,+%H+&+/,'*6'/),$-6 M('$78S&,+$'*G0$&K67.S6$))+*,+7#)*+,N/6S)/+)6'N6&$))+*,+%&,+$&'0$K-)T,/**7,/'5/'&M/SG&+7.+&/T'N?L/($+*$',)-,),*('$78S&,+T$'**H+&+/,S6'/),$-6 G0$&K67T.S6$))+*,+7G,+$&'0$K-),/**T7,/0),&))'*'&0,$'/+
!/$-1/'L0'*+$S/'),)*+,N/6RP*&+),+6'/,6,$'*/%6'$0-))*+,NT
/6)'0'$/'L0'*+$S/'),N7A5%0',''8T/KSG/),+//KS*),$*+&KS)*+,N/6'*C
P*&+),+6'/,6,$'*/%-M0'5*+))0','6'&A5%0'5*+)/KS)*+,N/6'*C
*P*)+$+5/+')/'*/%)*+,N/6'*A5%/),'N/KS/0'N/KS)*+,N/6'*C
A
!M'% 0$'*'5'**/-,$+//+('&'/,T1*&+),+S**'5*0,$'/
!'0'$/'L0'*+$S/'),.,G/6','$'&-),/**7,O6$+0%,P)*+,N/6*M'/+0$%T&'('$5 '//'('/($+*G0$-)'*G8,'$)),'%/+', +/,$6'K&0K/6*T/%5'.,&+/++B&&
]XM&+$+/+,+&0+$,-$K*,'86+0$'*'5%,0$,+&0+$,-$+OBgBP@2/0$%1+/G/'&/NT/'(')&0&/'&/N/'L&'./'),G-6M//'L*&$6$'*6+)*+,N/6
0##$+ T7/ !(
"###$+ T;# 1 %
! "#
/"/0<1 2 !2
/"/0.$ 1JK 22
421JK1JK !1JK2 !!/"/"
$ 2 H 2, 2 2)2
J )2 2 * %70 2
1
#38988:;0.CC
T 21 2H
$ 1JK )%
29
)
% =
-"+
H !
: 1JK % 2)
%\"
/"/0/J 2 ! ,-&*"7"##;
/"/0/"/0"+/"/0/*<7 -+./02./"/;1 H 2
C# # ,?D=,==
Q+$,3
&2 !22 !0#E< G !H2 0#Q)2 H
1 H!
G 21 H !
J
!
*+ , -+./12./"61 )
,-&*707"./"51 !
9 H ,-&*707".
;.!&''&-$K&&-'&K''&G'&
6" F )%) ,-&*"6.7# '
! !% +2H !F (
!
$&+8/%R:'0-)6+,)%5'0'/,+N/'-6MK*,N-)'*/'+/&+/'*/+O+)'/'&++,)%P9:%)*+,N/6'*G0$+5/M/8+//KS5%)'+5/+/%*)*+,%.-7/75'0-)67.S)'+5/+/+)'
)*+,N/6&5$-('(',0G*&$6$'*6+*H6)0-, '//'&5'6-&+/,+5'1/'K,N-6M/'-)'*/'+''M/8+/+)'+5/%+&'(')*+,N/6
! $
$&+8/+!&$6$'*6+0+$+/')/KS)*+,N/6'*6))M.,K```-6MK*7,/'&/N/'+/0$%1+/+O/*/+?/+L),'$'/+)*+,N/6PC
!2,)<#,) (
!2$ !2-C( $-+!(+
.C9#38988:;0
$&+8/+:'0-)6+,)%/)*+,N/6SG)/1+//KS0,$'/&,0c#BG/+//'),N/'&/N/-7&'./'),N&0G+))*+,N/6-5'*+,*'$%7,,$+'*/%&0B0$)0K,/)&T0&&'./'),N7#,C
!%99)WXYϕ !(
!2=>7# 2 (
! ==
===: H <(H "<# )H 0<(
! 2!
&H "'"'"(
!
%)(
! !
(
! %)2 !
F %7;
9
+*
;+@
:'*6782*5'*67844B4
GBG3G
J 2 !F
$&+8/+:'0-)6+,)%*&+),'//+)+/%5//'(')&*'/)*+,N/6-6MK*,N&/&NT/'+$)),'%/+5'')*+.+&'(''d+6,*H6)0-, T'//'&5'6-&+/,+C
!c& H R2 H ! (
!) % 2 (! 2 ,-&*"<"<#
@AB; (c&R ! H !
F % (!% %)
(! 1 % + !
*+ , -+./12.67: )
F % !
: *+ , -+./02.67"$ )!
) 2
%) 2 2 7<
#38988:;0.C8
677&))
%) !
2) !
T ! 2)% 'c:)!R
67"677*<7 -+./02.60&
6; ,-&*";"572
)'cA - Rcd R! 5
1 ! 22 2
: 2 ! H
1 ),-&*";"57
6<@ )! ,-&*707". %
1 1 !
8
: F !% 2 H 1 %% -%% % 2%
6;6<*+ , -+./02.6.@ !
9 H
6/@
66@ !8 & +,-&*"<6;.
*7 -+./02.
I.#&'&E#6
5"4 2%)
, %)'!"6+%)2
(!7;+ 2 2
(!0#+ 2 2 !
:% %)+"6
%)20# 2 )
*+ , -+./02.
.C;#38988:;0
9999999BE99999BB9999999B99E939D9999999B99E939D9999
!"#$%&!%#'()
> ?8?@?"
; +
(+
#6 +"
+#6"
( #6"
(+
(#
^^^^^^^^AAAAA^^^^^^^^^^^^^^^^^^A^^^^^^^i^^^^^A^^A
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^A^^^^^^^^^
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
^^^^AA^^^^^^^^^^^^^^^^A^^^^^^^^^^^^^^^^^^^^^^^AA^
^^^AAA^^AAAAA^^^AA^^^AAA^^A^^^^^AA^^^^^^^^^^^A^^^
#38988:;0.CI
; +
(+
#6 +"
+#6"
( #6"
(+
(#
999999999B9999E99399D999999BE3D9BE3D9BBB9BBBB93BB9E3D
^A^^^^A^^AA^^^^^^^AA^^^^^^^^^^^^^^^^^A^^^AA^^^^^^^^A^^^^
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^A^^^^^^^^^^^^^^^^^^
A^^^^A^^^^^A^^^^^^^^^^^^^^^^^^^^^A^^^^^^^^^^^^^^^^^^^^^^
A^AA^A^^^AAA^^^^^^^^A^A^AAAA^^^A^AAAAA^^^AA^^^AAAA^^^^^^
AAAAAAA^^AAA^A^^^AAA^^A^^^^^A^A^^A^^^^^^^AA^A^AAAA^A^^^^
!"#$%&!%6-;')'))+#'(/*+8-;<8 7
.9J#38988:;0
!"#$%&!%*+,-
? 8 AB@C?
! .
'*+$S/'),NG / 6','$'L/+0')$+5),*+//'&'/,$-7,-),/**7,)*+,N/6O0','6G),+/KG0'G6$K?6),',0P
+0'*'L$+1&)*+,N/6G0$6','$'&,+&0+$,-$$MT8/KSH+&+/,'*)*+,N/6/+M&+/%+,)%'++8+&/@M&/
,6$K,K+,'6'0$'*'5%.+8),)*+,N/6G6','$K+&'(-,%*,N)%0$8/'L0'$1+/%H+6,$8+)6&,'6'&0$H6)0-T,
;6L?/-$6+NG%*%7.L)%)'),*/'L8),N7)*+T,N/6G )-1.L 5% 0$)'+5/+/% )*+,N/6 6 0,7T.+L)+,)0'&'.N7?,+0)+N/'L*6
2*+,N/6G&+7.L*'M&'1/'),N0+$+&+.+/%*5'N))T,+&K0'5*+)6G)6','$'L'/&++,&+S/8+)6'+H+6,$8+)T6'+)'+5/+/+
+&0+$,-$G0$6','$'L0$')S'5,$M$-?+/+)('$+&KS&,+$'*O0*+/+G'-(*/+G*K5++/+5K&G,+/+,5P
';292*+,N/6G0$+5/M/8+//K+5%$',K*)'1/KS-)'*T
%SH6)0-, *',/'?+/&+S/8+)6S/($-M'6O($-00-)T'*LH6)0-, /+&+/++>90';2EB$&+$&,T6S)*+,N/6'*%*%7,)%)*+,N/65%$+&'/,/KS&),+$)T6SG),$',+N/KS0'.5'65$-(S/'(8/KS ++L
0'$/%0'*+$S/'),N
U),/'**?L)% ,+0'*'L $+1&)*+,N/6
'6'*+5-.+8),
2'+5/,+N/KL?/-$6+N
+$+5*1/'L)*+,N/6)')0+ TN/K&H+6,$'&+S/8+)6&0$)'+T5/,+N/K&-),$'L),*'&
$,8+)6%,+&0+$,-$
2('$+&KL O/+)('$+&KLP&,+$2*+,N/65%$',K*)'1/KS
-)'*%SH6)0-,
!"#$%&!%6-;')'))+#'(/*+8-;<8 7
!"#$%&!%. /0 10
DE?8D?F?D" G C
'$0-)"_*)*+,N/6S)6'$0-)'&M/+)('$+&'('&,+$5'1+/K,N',5+/','0'$/'L0'*+$S/'),)+5-7.&'$M'&R
T$)),'%/+&+15-6'$0-)'&"_'0'$/'L0'*+$S/'),N75'1/'K,N/+&+/++&&CT*'M5-?/KLMM'$&+15-/$-1/'L0'*+$S/'),N76'$0-))*+,N/6'0'$/'L0'*+$S/'),N75'T
1+/K,N&+/++&&CT*'M5-?/KLMM'$&+15-6'$0-)'&"_*/-,$+//+L0'*+$S/'),N76'$0-))*+,N/65'1+/K,N
/+&+/++&&0'*)+L0'*+$S/'),6'$0-)"_c)6'$0-))*+,N/6M(','*+/M)('$+&'('&,+$G,''/5'1+/K,N-5+/',"_/
$)),'%/+/+&+/++&&&+15-"_6'$0-)'&)*+,N/65'1//S'5,N)%0+$+('$'56M/+)('T$+&'('&,+$ O/0$&+$GM),'*'L),,'./'LGB&&P/$)),'%/&&',"_G0$8+&5'1/K)'S$/%,N)%$)),'%/%&+15-6'$0-)'&"_'0'$/'L0'*+$S/'),N7G&+15-'0'$/'L0'*+$S/')T,N7*/-,$+//+L/$-1/'L0'*+$S/'),N7)*+,N/6
9+0'*%M.,5'1/'+)0+8*,N/'0'$/'L0'*+$S/'),,+&0+$,-$-G/+0$+*K?7.-79@2c))*+,N/6G0$+5/M/8+//KL5%/+0')$+5),*+//'L-),/'*6/'0'$/-70'*+$S/'),NM
/+)('$+&'('&,+$G/+-5'*+,*'$%+,-6M//K&*K?+,$+'*/%&G'/5'1+/K,N)6'/),$-$'*/,6&'$M'&G8,'K*)-8+5+J+6,"_*,+8+/+B&/$',K)*+,N/6,+&0+$,-$'&',6"_/+0$+*K?B@2G/'0'$/'L0'*+$S/'),A3@2
!"#$%&!%.6 '(')(%0)*&'01)8-;<7
!"#$%&!%2#'()
?A
M)0$+N/K&),+/6&7'L(-/KO8+$,Pa5+)N5++0-,N-,+86,'65'1+/M&+T$%,N)%0'5/+0-/6,$/'L/"M&+$K5/K*&&+,$S
Q+$,
9jT'$M/KL0M)*/-,$+//&-('&/+'++3@O8+$,9P
Q+$,9
-,N-,+86)$+$'&O8+$,P
Q+$,
#38988:;0.93
Q+$,E
2'8+/+/%5*-S5+,+LO8+$,P
C
Q+$,
BM)$)S'5%.&)%),+/6&O8+$,kBP
Q+$,B
M&+15-?+),($//'L(''*6'L*/,M'% '//'L),+/6'LO8+$,P
Q+$,
EM&+15-6$-('L(''*6'L*/,M'% '//'L),+/6'LO8+$,EP
.90#38988:;0
!"#$%&!%#'()
DD
XM&+$,+N/'L&0'L)8,7,),'8/6)*+,)'),N/K&)*+,'*K&0','6'&G0$&+/%+&KL0$)0K,/%S)*+,N/6'*($5-$-+&KL0-,+&)$*/+/%)$'8&)*+,'M&+$,+N/K&&0&0';239
XM&+$,+N/K+&0K',$7,M0$,&0G)'',*+,),*-7.S,$+'*/%&),/5$,'*,+S/T8+)6S-)'*L0'5*+$(/-,KS0$+5*$,+N/'&-),$+/7
#)+H+&+/,K)S+&KG'+)0+8*7.+/'$&N/-7$',-&0K*'*$+&%),$+/%G,61+0$M&+T$+/H+6,$8+)6S0$&+,$'*)*+,'*'('0','6G5'1/K)'',*+,),*'*,N),/5$,&,+S/8+)6&-)'*%&/',5+N/KL,0($-00-&0
2*+,'*'L0','6M&+$,+N/KS&05'1+/K,N/+&+/++GD/'&/N/'(')*+,'*'('0','6#$+&%),$+/%&0/6*/%AB8G(M'$M$%5/KS&0A982,N/'),N)*+,'*'('0','6M&+$,+N/KS&0S$6,+$M-+,5'0-),&'+M&+/+/+)*+,'*'('0'T
,'6/''0$+5+%+,)%66)$+5/++6*5$,8+)6'+',6'/+/+/+&+/++8+&M,$+SM&+$+/LG0$'M*+5+/T/KS0')+),$+/%)/,+$*&*$+&+//+&+/++98:'0-),&'+M&+/+/+)*+,'*'('0','60$H,'&A/+'++gl
#$+&% $',K &0K 5'1/' K,N MJ6)$'*/' *1-$/+ ) -6M/+& 5,KG *$+&+/ ('$+/%0'50) G0$'*'5%.+('M&+$+/%
2*+,'*'L0','6M&+$,+N/KS&0)+5-+,0$'*+$%,NR5%&0/6*/%A8+$+MB8H6)0-,T G5%(M'$M$%5/KS&0&'./'),N75'B#,A8+$+M8H6)0-, C5%(M'$M$%5/KS&0&'.T/'),N7B#,'++A8+$+M98H6)0-, :'0-),&'+M&+/+/+)*+,'*'('0','6G'0$+5+%+&'+,61+G 66 0')+ ),$+/%GA /+ '++ g l
XM&+$,+N/K+&0K5'1/KS$/,N)%*-)'*%SG-6M//KS*0E9*&+),SG0$+5'S$/%7.SS',&+S/8+)6S0'*$+15+/LG,61+M..+//KS',0$%&'('*'M5+L),*%-8),'('0','6)*+,
!"#$%&!%6-;')'))+#'(/*+8-;<7
!"#$%&!%3*+,-
A ? ? "F
* *#D
!'$&N/'(')0'/+/%a..+//KL',0K*'5K)&0&/6*/%G/+MT
..+//KL',6$K,KL)(M'$M$%5/K&&0&a..+//KL',0K*'5K)(M'$M$%5/K&&0&;+$&+,8/KL)(M'$M$%5/K&&0&
GB
9GGBG
#38988:;0.91
!"#$%&!%4*+,-
>HDDCDC"
)01)4'&'0')4'$904Ω%#*∆α:I
$ !#" $ !#"
@A9m@9@A@@Am@@A3m@3@Am@@A9m@9@Am@@Am@@A3m@3@A9m@9@A99m@99@A9m@9@A9m@9@A93m@93@Am@@A9m@9@Am@@Am@@A3m@3@Am@@A9m@9@Am@@Am@
@@B@E@D@@@B@E@D@9@9@9B@9E@9D@@@B@E@D@@@B@
G3GBGDG9EGG9BGD9GBEGGEGE33G3BBGD9GGG93G3G9BGDGEGGDGBD
@A3@3@AB@B@AB9@B9@AB@B@AB@B@AB3@B3@A@@A9@9@A@@A@@A3@3@AE@E@AE9@E9@AE@E@AE@E@AE3@E3@A3@3@A39@39@A3@3@A3@3@A33@33@AD@
E@D@B@B@BB@BE@BD@@@B@E@D@E@E@EB@EE@ED@3@3@3B@3E@3D@
GBGBGEGEDGEDG3G3E9GDGDBGD3G9EG9EG9E9G9DBG99G9DG9DG9G9EEG93G93EG9D
9
)01)4'&'0')4'$904Ω%#*∆α:!I
$ !#" $
@A9GB@9GB@AEGB@EGB@A9GB@9GB@AEGB@EGB@A99GB@99GB@A9EGB@9EGB@A9GB@9GB@AEGB@EGB@A9GB@9GB@AEGB@EGB@AB9GB@B9GB@ABEGB@BEGB@A9GB@9GB@AEGB@EGB@AE9GB@E9GB@AEEGB@EEGB@A39GB@39GB@A3EGB@3EGB@ADG@
@B@@B@9@9B@@B@@B@B@BB@@B@E@EB@3@3B@D@
GGE3GDBEGDG3BG9EG9EGGB9G3EGDDGDGEEGD3GBBGB9DBGBD3GBG9E3
EEGB@A3@E9GB@AEEGB@EGB@AE9GB@9GB@AEGB@BEGB@A9GB@B9GB@ABEGB@EGB@AB9GB@9GB@AEGB@EGB@A9GB@9GB@AEGB@9EGB@A9GB@99GB@A9EGB@EGB@A99GB@9GB@AEGB@EGB@A9GB@9GB@AEGB@DEGB@A9GB@D9GB@ADEGB@DG@AD9GB@
3@EB@E@B@@BB@B@B@@B@@9B@9@B@@B@@DB@D@
.9A#38988:;0
)01)4'&'0')4'$904Ω%#*∆α:,I
$ !#" $
@A@@A9@9@A@@A@@AB@B@A@@AE@E@A3@3@AD@
B@B@9B@B@B@BB@B@EB@3B@
GDBG93GG93GEEG3DEGDDGB3GD
E@A3@@AE@B@A@@AB@@A@9@A@@A9@@A@D@A@
EB@B@BB@B@B@9B@B@B@DB@
A'&4#'59#))4'&'0')4'$904Ω%#*∆ϕ:!I
$ !#" $
@A9GB@9GB@AEGB@EGB@A9GB@9GB@AEGB@EGB@A99GB@99GB@A9EGB@9EGB@A9GB@9GB@AEGB@EGB@A9GB@9GB@AEGB@EGB@AB9GB@B9GB@ABEGB@BEGB@A9GB@9GB@AEGB@EGB@AE9GB@E9GB@AEEGB@EEGB@A39GB@39GB@ADG@
@B@@B@9@9B@@B@@B@B@BB@@B@E@EB@3@3B@
EEGB@A3@E9GB@AEEGB@EGB@AE9GB@9GB@AEGB@BEGB@A9GB@B9GB@ABEGB@EGB@AB9GB@9GB@AEGB@EGB@A9GB@9GB@AEGB@9EGB@A9GB@99GB@A9EGB@EGB@A99GB@9GB@AEGB@EGB@A9GB@9GB@AEGB@3EGB@A9GB@DG@ADEGB@
3@EB@E@B@@BB@B@B@@B@@9B@9@B@@B@@DB@
G3GEGEBGEGE9GDGG9GB3GBGDGG3G9G9G9GGE
B
A'&4#'59#))4'&'0')4'$904Ω%#*∆ϕ:,I
$ !#" $
@A@@A9@9@A@@A@@AB@B@A@@AE@E@A3@3@AD@
B@B@9B@B@B@BB@B@EB@3B@
E@A3@@AE@B@A@@AB@@A@9@A@@A9@@A@D@A@
EB@B@BB@B@B@9B@B@B@DB@
GG9DG9EG9DG9BGEG9DGEDG9E
!"#$%&!%46-;')'))+#'(/*+8-;<7
#38988:;0.9C
!"#$%&!%5*+,-
FG
C& DCDC DCDC DCDCD C DC"DC DC DC
/DC
$-1//'+-5$/'+-),$'L),*')'),',M,$+S')/'*/KS8),+LRT6'$0-)CT-5$/'('H+&+/,CT)0-)6'*'('&+S/M&'$0-) 6 )'),', M 6'1-SG 6','$KL %*%+,)% /0$*%7.+L 5% -5$/'(' H+&+/, )-1, 5%
1+),6'('6$+0+/%//+&*)+S8),+L-),$'L),*U5$/KLH+&+/,)'),',M/6'/+8/6G?,'6G0$-1/K$-862>))-5$/'('H+&+/,$*/OG9BgGP6(!6'/+8/6&'',6&++,0'-)J+T$8+)6-70+$+5/778),N$5-)'&&&GM(','*+//-7M60$'/#0'&5),*+$5'),N7/+&+/++>O6()n&&P!6'/+8/6M6$+0+//?,'6+&'',6,6&'$M'&G8,'K$)),'%/+&+15-+('*+$?/'L0')6'),N70+$+5/+L8),6'$0-)*&'&+/,0+$+5)$)K*/+&)0-)6'*'('&+S/M&)'),*T%'A9&&$'M*+5+/+-)%0$-1/K*)1,'&0''1+/*/N7,'/S/S'50$-1/K*&&+,T$S5'1/'K,N$*/'!b&&V'50$-1/KH/+$(7-5$$+(-$-7,0$0'&'.(L67
20-)6'*'L&+S/M&)'),',M(''*60$-1/K3>))(''*6$*/(#&'&+/,G6'(5J6),'$'0-)6+,-5$/KLH+&+/,G0$-1/)0-)6'*'L(''*65'1/)'M5*,N-)+',95'!
!"#$%&!%56-;')'))+#'(/*+8-;<8 7
!"#$%&!%6*+,-
? "F
X)0K,,+N/% 6&+$ O8+$, P &++,J'$&- 6- 0$++00+5G ++ 0',''6 ,$ '6'*K+),+/6*K0'/+/K5*'L/K&M0+$J'$$'*//'('),'*'('&+,)+,6G$)),'%/+&+15-5*'L/KT&),+/6&5'1/'K,NB&&G8+,*+$,%),+/6*K0'/+/M)0'?/'('),:&+,$',*+$),L0+$J'T$$'*//KS),+/'6A',5'9&&C0'*+$S/'),N',*+$),LM/&+,/+&+/++l*)+L0'*+$S/'),),+/"M&+$K*/-,$+//+('0$'),$/),*6&+$K5'1/KK,N,6+G8,'K$)),'%/+&+15-7'L8),N7)0KT,-+&'(')*+,N/6*/-,$+//&),+/6&6&+$KK'/+&+/++9&&G*/-,$+//+$M&+$K6&+$K5'1/KK,N/+&+/++DQDQD&&#/-,$+//%%0'*+$S/'),N6&+$K5'1/&+,N&,'*-78+$/-7'6$)T6-$M&+$+/6&+$5'1/K,NM6$K,
'&+.+/+G*6','$'&-),/'*+/6&+$G5'1/'K,NM..+/'',)6*'M/%6G*'*$+&%M&+$+T/L*'M5-?/K+,+8+/%5'1/KK,N'($/8+/KZ,'/+',/'),)%66'/*+6 '//K&0','6&G*KMK*+&K&/($+*'&)*+,N/6>/&N/'+$)),'%/+',*+$S/+L0'*+$S/'),/$-1/KS'6'*KS),+/'66&+$K5'0'),'$'//S'd+6,'*5'1/')'),*%,N&&
+&0+$,-$-'6$-17.+L)$+5K)*+,N/6*/-,$)0K,,+N/'L6&+$KM&+$%7,0$0'&'.,+$T&'&+,$+$&'&+,$ 5'1+//S'5,N)%/ -$'*/+ ('$M'/,N/'L0')6'),G 0$'S'5%.+L 8+$+M )*+,'*'L +/,$)*+,N/6/$)),'%/B&&',1L?+L6/+&-8),)0K,-+&'(')*+,N/6+$&'&+,$M..7,',*%/%0$%&'(',+0'*'('M-8+/%)*+,N/60$0'&'.5*-S /5$'*M0'$'*/T/'('&+,G*),*+//KS'5/*5$-('LG5/'L&&
.99#38988:;0
'5*+)/K+)*+,N/60'&+.7,*)0K,,+N/-76&+$-,6G8,'KS)*+,'*'L +/,$/S'5)%*(+'&+,$8+)6'& +/,$+6&+$K
',''8/K+/),+//K+)*+,N/6M6$+0%7,/'6$?+//'L*&,'*KL8+$/KL *+,5+$+*%//'L5')6+,'./'LB&&"M&+$K5')65'1/KK,N,6&G8,'K++6$%*K),-0M6'/,-$KM6$+0+//'T(')*+,N/6/+&+/++8+&/&&G$)),'%/+',6$+*5')65'*/-,$+//+L0'*+$S/'),6&+$K5'1/'K,N/+&+/++&&:')6-)M6$+0+//K&0',''8/K&)*+,N/6'&0'&+.7,/+0')$+5),*+//'/0','T6+G5')6-)M6$+0+//K&/),+//K&)*+,N/6'&A/+0')$+5),*+//'/)0'?/'L),+/+)0K,,+N/'L6&+$Kc))*+,N/60$+5/M/8+/5%/+0')$+5),*+//'L-),/'*6/'0'$/-70'*+$S/'),NM/+)('$T+&'('&,+$G,'*&+),'5+$+*%//'L5')6)0'NM-7,0/+NM/+)('$+&'('M'% '//'('&,+$
2*+,N/6G0$+5/M/8+//K+5%6$+0+/%*-(S0'&+.+/%G)0K,K*7,*-(-G'$M'*//'&5*-&%,$+&%5')6&$+'*/+65')6&/'(8/K-6M//K&*K?+
#),$*+&K+)*+,N/6)0K,K*7,/)0K,,+N/'&0','6+G0$+5),*+//'&/8+$,9)/'*-0','6M(',**7,M5+$+*%//'L5')6,'./'L9&&)',*+$),+&5%)*+,N/6"M&+$K5')65'1/KK,N,6&G8,'K++6$%*K),-0M6'/,-$K)*+,N/6/+&+/++8+&/&&W'6'*K+),+/6M(',*%7,M5+$+*%//'L5')6,'./'LD&&0'&+.7,/$)),'%/BAEB&&',&+),-),/'*6)*+,N/6*')/'*/-75')6-#+$S/%%),+/60','65'1//S'5,N)%/$)),'%/'6''9B&&',*+$S/+L0')6'L0'*+$S/'),)*+,N/65'1/K,N0',/')'+5/+/)'6'*K&),+/6&c)/*+$S/+L0'*+$S/'),)*+,N/6&+7,)%5),/ '//K+H+&+/,K0$)'+5/,+N/K+6'$'6G,''/5'1/K/+0')$+5),*+//')'0$6),N)%)*+$S/+L),+/6'L0','6)/'**/-,$+//%%0'*+$S/'),N0','65'1/KK,N'6$?+/K&,'*'L/+&+,8+)6'L8+$/'L6$)6'LX)0K,,+N/KL0',''65'1+//S'5,N)%/$)),'%//+&+/++&&',),+/G0'0','66&+$K
2*+,N/6G*),$*+&K+*),+/-G)0K,K*7,/,6'&1+)0K,,+N/'&0','6+G/'5')6$)0'T(7,)%*+$,6N/'
+$+/')/K+ )*+,N/6-),/**7,/5+$+*%//'L5')6+ ,'./'LB&&G'6$?+//'L8+$/'L&,'*'L6$)6'L
"M&+$5')65'1+/K,N,6&G8,'K++6$%*K),-0M6'/,-$K)*+,N/6G-),/'*+//'('*/'++/+('0$%,/'+$'8++0''1+/+G0$6','$'&'/&'1+,'0$'6/-,N)%G/'/+&+/++8+&/&&")),'%/+',6$+*5')65'*/-,$+//+L0'*+$S/'),6&+$K5'1/'K,N/+&+/++&&
!"#$%&!%66-;')'))+#'(/*+8-;<8 7
%4&&'01)+;'#
Q+$,
CCC6C ##"
Q+$,9
%4&&'01)4J%&0
#38988:;0.98
!"#$%&!%7 /0 10
> ?
'8+),*'$%5'*)65$'*/%**K)',-5'1/''0$+5+%,N)%M(','*,++&)*+,N/65%615'L6'/6$+,/'L-06'*6#&+),'-6*Ke45'1/'0$'),*%,N)%8)'0')+5/+('5'0-),&'('$%5G0$6','T$'&($/,$-+,)%)'S$//'),NM5+%-06'*60$++,$/)0'$,$'*/S$/+/
$)65$'*/)*+,N/6'*,'N6'*'5/5*$%5?,$S0-/6,$/-7/7/&$6$'*'8T/'&M/6+/+0$'*'5%,
"M&+$K&$6$'*'8/'('M/6*K$7,)%M(','*,++&0$'M*'N/'*M*)&'),',$M&+$'*-0T6'*6G0$H,'&5/615'('0$%&'-('N/65'1/K,N/+&+/++5*-S$M&+$'**K)',K")),'%/+&+15-0$%&'-('N/6&G$M5++//K&?,$ST0-/6,$/'L/+LG5'1/'K,N/+&+/++0''*/K*K)'T,K0$%&'-('N/6
</G0+$+8+$6*7.+*+$S/L0$%&'-('N/6G5'1/K&+,N,'./-G0$+*K?7.-7/+&+/++8+&*5*$M,'./-/L6'/,-$0$%&'-('N/6'*G*KS'5,NMS$M&+$K/+&+/++8+&/B&&
!"#$%&!%76 '(')(%0)*&'01)8-;<7
!"#$%&!%*+,-
G8DC @A AB?C?@??F>D
D FKA
2 +N7'0$+5++/%-)'*LG0$6','$KS66%T','6'0$'*'5%.%8),N)*+,N/6&'1+,)8T,,N)%/S'5%.+L)%0'5/0$%1+/+&)0')'/'L*KM*,N0'$1+/+H+6,$8+)6&,'6'&0$)-8L/'&0$6')/'*+/G0$'*'5%,)+5-7.+)0K,/%
2*+,N/60'56787,6),'8/6-,'6)/'&/N/K&M/8+/+&/0$%1+/%8),',K,'6G-6TM//K&*&$6$'*6+)*+,N/65/M0'7)'*),'8/6,'65'1+/K,NMM+&+/
XM&+$%7,,'6G6','$KL0$',+6+,&+15-)0K,K*+&'L8),N7)*+,N/6MM+&%7.&6'/,6,'&2'0$',*+/+M&+$,+N/'L +00$H,'&5'1/'K,NO9gBP&M&+$,+N/% +0N/+5'1/)'5+$1,N/5-6,*/'),c)06'*'+M/8+/+M&+$+//'(','60$+*K?+,GE&_G,'5//-7)0K,-+&-78),N)*+,N/6)8,7,/S'5%.+L)%0'5/0$%1+/+&
$'*'5%, M&+$+/+ /0$%1+/% &+15- )0K,-+&'L8),N7)*+,N/67'L+('8),N7G5'),-0/'L5%)-8L/'('0$6')/'*+/%2'0$',*+/+M&+$,+N/'L +00$H,'&5'1/'K,NOBgBP&
c)06'*'+M/8+/+M&+$+//'('/0$%1+/%'++#G,'5//-7)0K,-+&-78),N)*+,N/6)8,7,/S'5%.+L)%0'5/0$%1+/+&
!"#$%&!%6 '(')(%0)*&'01)8-;< 7
.9;#38988:;0
4'!&5(%&(
3.'&E'&D&!,+@,=7,+<L'
0.$'"%%%)K+#,B+'7,+08.J8.;0/0;IA
1.,7 ?H13;0:;3.,<!HCI;M3:;9-!HCI;M0M3:8I++/3*3I;82-!HCI;M0M0:8I++/3*3I;82-!HCI;M0MA:8I++/3*3I;12/0*3I;82-!HCI;M0M3I:;3++/3*3I;82
A.E&!#31;0;:8A-#38988:8I
C.(F('!&MGF%$!(
!#"#
9.B,,= K+#,3J.JI.I0/33C9
8.E%&* , 0JJ0B.2+ +/3-0-1-,><+,3I;9B.-?3I;8B.-7,3I;IB.*$A:;8-33:;8-8:;I2
#38988:;0.9I
!#"#
;29ADB;29AE3;239AD;239AE3;2D9A33;2DAD;29AD;2993A3;29A3D;299EAEB;2DA3;299DAED;29EAD;2BD9AE;29AE;239BAD;2EA39;2EDA3D;2EDDADE
;2E3BAE;23BAD9;23EA39;2DBA3;2D3AD;2AEB;2EAE3;2D9AD
;29BAD
;2BBAD
;2B3AED;2BDAED;2EAED
;23DA33;239A39;2D9AE
;2EAED;2E9AE9;2EBAE9;2EBBEA33;2EA39
;2399AE9;239A3;293AD;29AEB;29EEA39;299AE3;29BAED;293A3;29D9A3
BB$'1+/+ED9EE9G EEEEEEG0$'1+/+9G 9EDDG EBBED99ED9G9GG
E99999DG EBBEDE93
9G99GE3GE3BGE3G EBEG EB9
G 9G 99G 9G99G G 9GEB9G 3
33#*'5/% 8),NG ED99G
EDG EDBG EDGEDG EDB
EG EEG EE9G E9G E9G E9G
EBG E9EE9G0$'1+/+9G G 9ED9G ED99G ED3G
ED99E9G 3EE9BE3G EDG 3BBEG EE99
).)=,F,F>'#" J=2JKLLJMMNNNJOLPQRPSROJSTUVPWXYWQZ[\OLPQRPSROJST
" .3*'JE).)C J]'" ^=,A,>1'_ J>
.`,B,=,1
"+56,'$8#91:,+S/8+)6L$+56,'$".;1<,
'$$+6,'$*!<,'&0N7,+$/%*+$),6=!>? ,@
)J&J ,1A02=2J,FJ1,,,J(=?J,1J1,,1J. 1>J,AJ1,,1J5J JJF?,J5JJF?0J!A,,%J(2B,2J$J1>?J