Verification and application of numerically generated magnetic ...


     !#"$%
& ('*)+

, ,
 $-).
/  0 &1.23 ,
542'64 ,
&$7489) ':.;#
/  4 ?A@BDCFEAGEIH,JKEILNMNO/PQ=/RTSVU:UXWYJVLZWY@,[\OF]^=`_AWY@FUXEIabOFcd=/P EIefJg?A@Fhi6?A@Fhkjl=Fmn?XJKWY@BZWpoqM MsrutwvIx(y{z|tA}&~s\x€‚},ƒ‚„…†„ˆ‡:„q‰Š‡ ‹ y{z|t\ƒ‚Œt‚Žq:‘ƒ‚…Kb’ “”‚…†z•…†},ƒ‚„…†„ˆ‡:„6–#‹s”‚… ‰Dƒ‚—+tAz|˜\’ ™›š œ#ž“+Ÿ{r ƒsƒb b~‚…tA„…( \},’ž¡k”‚}`˜:”‚z¢ƒ‚„”‚…†},ƒ‚„‹p£ ¤\’ ¥¦x§¤F¨D©`ª¤k–#‹D”‚… ‰Dƒ‚—+tAz|˜\’6–”‚‹NŒtA}q [ y{z|t\ƒ‚Œt«y.:‘ƒ‚…(~sƒ ¬­t®‚ \‹ftA„ \‹‚b’y{‹N…†}&~s”‚„ \}¯š}q…†°A”‚‹Dƒ‚…†„ˆb’ y^‹N…†}&~s”‚„ \},’±ž”‚—³²q”‚‹Dƒb”‚µ´X¶2·Y©/¸IxZ´‚©`·¤\’3š ¹ a rutwvIx(y{z|tA}&~s\x€‚},ƒ‚„…†„ˆ‡:„q‰Š‡ ‹ y{z|t\ƒ‚Œt‚Žq:‘ƒ‚…Kb’ “”‚…†z•…†},ƒ‚„…†„ˆ‡:„6–#‹s”‚… ‰Dƒ‚—+tAz|˜\’ ™Qš­œ#ž“+Ÿ{rƒsƒb b~‚…tA„ˆ…( \},’»º  \z•„g¼YŒtA}q},ƒ‚„‹p£½A’ ¥¦x¶2·F¨D©/¶k–¾tA‹D~s:…†}:¿\’–”‚‹NŒtA}q i š}q…†°A”‚‹Dƒ‚…†„ˆµ ‰ rutA‹‚\z|tA}`˜\’6À{ \z†zK”(¿:” y#tA‹Db’rutA‹‚\z|tA}`˜Á½,´¨D©q½A’3š ¹ ¾Â ÃFħÅfÆDÇ\ÈNŠɆÊË(̑ÍΧςÊYˈͧÐwË2ÏNÑbÒÔӢʑÍZÕNÖ2×pØYÖ(ςÙwӢʑÍË(Ó¢ÎFڈÓÔÛ{ܑÒÝÕsˈӢςÊXڧާՂÊÕNÊ\ՂÒÔØbڈӢÚςÑpË(̑ÍՂߑߑҢӢÎfÕsà ËˆÓ¢Ï‚Ê ÏNÑ,á\ͧÒÝâwà†ÕNÒ¢ÓÔ×pʑÍfâÎÏwÏpÖ(âbÓ¢Ê\ÕNËˆÍ ÚØbځˈͧÛ1Ú ×pͧʑÍfÖ(ÕNˈÍZâ¾ÊwܑÛ#ͧÖ(Ó¢ÎfÕNÒ¢ÒÔؾÑãֈÏpÛäÛ1ÕN×pʑÍà ˈςÌwØbâbÖ(ÏbâbØwÊ\ÕNÛ#ÓÝÎÍZåpÜ\ÓÔÒ¢ÓÔæ\ֈÓÝÕ^ӢڭߑÖ(ÍfڈͧÊYË(Ífâç‘è­Ì‘ÓÝÚ&Ñ|ÕNÛ#Ó¢ÒÔØ6ÏNÑ,ڈØbÚéË(ͧÛ1Ú ÕNÒ¢Ò¢ÏsêÚ&ڈςÛ#Í ë

ì

í­îï1ðwñ,ò†óôDõ ôIöb÷VôYø{ùYòðw÷î ú ͧÐbÓÔæ‘Ó¢Ò¢ÓûËéؾӢÊˈ̑ÍÎ̑ÏpӢΧÍÏNÑˈ̑ÍΧÏYÏpÖ(â‘ÓÔÊ\ÕNˈÍZÚ§ÞwÕNÊ\â6ׂØwÖ(ςÙwÓÔÊ\ÍˈÓÝÎڈςҢü‚ÍfÖ(ÚÏNѕË(Í§Ê âbÓÔѕà ÑãÍfÖ/ÓÔÊ^Ë(̑ӢÚ/ֈÍZځßAÍfÎËfçYýÍfցËÕNÓ¢Ê+Ë(Ö(ՂÊ\ÚéÑãÏpֈÛ1ÕNˈӢςÊ\Ú,ÕNÖ(Í&ˈ̑ÍfֈͧÑãςÖ(Í&Ö(ÍfåYܑӢÖ(Ífâ{ÓÔÊ#ςÖâbÍfÖË(Ï Î§Ï‚Û#ß\ÕNÖ(ͻߑÌwØwڈÓÝΧڭÖ(ÍfڈܑÒûËÚ§ç‘þΧΧςÖâbÓÔÊ\ׂҢ؂ÞwæXÍfÊ\Î̑Û1ÕNÖ(ÙbÚ&ÏNÑqÕ{ҢӢʑÍfՂÖ&Û#ÓÝÎÖ(ςӢÊ\ځË(ÕNæ\ÓÔÒÔà ÓÔËéØՂֈÍÎfÕNÖ(ֈӢÍfâ6ςÜbËæAÍËéê&ͧÍfÊËéêÏ1ڈÓÔÛ#Ó¢Ò¢Õ‚Ö ×‚ØwֈÏpÙwÓÔʑͧˈÓÝÎ ÎÏbâbÍfÚfç\
ÿ AÏpÖË ÓÝÚÕNÒÝځÏ#ß‘Ü‘Ë ÏpÊ+Ë(Ì‘Í ü‚ÍfֈÓÔáXΧÕNˈӢςÊ.ςÑ\Ë(Ì‘Í ÚßAÍfΧӢՂÒbߑֈÏpßXÍfցË(ÓÔÍZÚ,ÏNÑ\Ë(ׂ̑ͭÍfʑͧÖÕsË(Ífâ+ڈØbÚéË(ͧÛ1Ú,ˈÌ\ֈÏpÜ‘×‚Ì Î§Í§ÖˆË(ÕNÓ¢Ê âbӢՂׂʑÏYÚéË(Ó¢ÎfÚ§ç 

    !#"$%#&(')*"+,"-)./,0."
213)*456#87#$%9(')./1)./:/
;.#"p0."ARhQ;.05'8;.$/ n>p0iVg"U

ë

s 6& $Q'8t$''6)./!C%#)*4J6J1e#60%e0.V+D$-1)*"RQU 4/C19&'C)*805S"$/&'8/Vg"051¬0%6$/T>a-SVX05''0?>y%vu#"$Q)*"05).-6$/,02).%%6"A$//6 4.#051e#,"Ate#"AVX0."A1­).h).).'vU

ì

0.4.05&/f/,&%6 05ŸÉ x d-B6>a- 05O).C/a2"A).%).'
"0.K('8$/L0.VP/,#;.#"A).'
H#"A1e$Q).''8t0—/,J''t)*$)*" N J /,#;.#"A).'1e$/F69Vg05''80`>a646M+r:0c051e('8#,S6%6#,#"A1C)*805[0.V!6SC8).' 05U %8805(/#B>p /# 8N \H JJ @A ü œ BI&/ N J ú ú %3ú JJ @A V ü U JJ @A %G?1]^U JJ @BA %_  ?  J U J U J

ì

] M {5d

ì ë

Ÿa0`>2B([0."A%6#"w,030.D().c62"#("$/,$Q)*805h] M d-B>p205/,&(')*, U

ú

J ü ? JJ @A U

!` J ü X JJ @A

a `cb @A X

ì

] Mz|Qd

).% U

ú

 U J

J @A ü J

<  8< @A3 b @A Q J ü Q  Xd JJ @A X  

ì

] M }5d

ù fðIò VôYñðwñQðsõ2õq÷_fðIòˆKôYñlô~‘T’nð`“\ñ,ùYòˆ_2ZôAô`Œ#Qãñ:ðIòù^øk”øNòù•’nø ˜

‹ -ŒAŽ  ˆ

ì

ì

àƒ2"A$1)*"R„)*a05%805/2] Mz|Qdw).(%h] M }5dw1('8JA
B?>a8 6w).%90.Vl] M ›5d-B.>pE%6#"A;.p6t"$')*05 D#\>t#$6E/&6"V_).E')*D$'/  øj r J ü$Xas 5ø JJ 7

M

ì ëNì d

] M

¥&6"#"A1e0.".B05[6 /&6"AVg).=øeü¢ø37†>t )?;. j '2%Lú3 j ü$ # ü$ &%oøm

rø j Oø

J 7 %ø(')%Lú3 j ü$ &%eøm')%ú=ù J J

ì ë

] M {5d

/,038L05'%/ ú3 j ü$XEú  Ë.ËOÌft

ì ë

] M |Qd

u3ÏÒOÓwvtÑØÕ5ӁÖ:×^Ö
Þ2Õcx!υÑÖTÖ
ÒOÙpÓ\×!Ø+Õ.ÏÊÐ`ßÐ`Õ.Ï(Û Ð

Na#"A.B:>t"$/,$Q /,#;.#"-).'!%)*4505/,#/ Ci0."A%6#" ,0F#;~).'&()*,36 s &).'\t20.D). #TS %ûiü$ %ø_')%ú S %ûiü$ c{ s

M

ì ë

] M ˜.d

6#"A#VX0.".B+).'80564e62K($'%G'6.B68L/A605&'%cI&1e#"A#).'C'8t0[/,ae6a'C6.B >a'21e#,"A=0519D()*054y P"P y \\ b]zy P‚\ d /L%6#(C,$%cDQpf)*" 60`>b)*D('8a,024.$6#"A)*,JD0.30Q0."A%()*,a/,aÊ…¥46M

ì

)*"c6c6"A#c1#,"A„$'8$1e$Q/e).%…6}5).0.D(C).ÊVX0."D0.

/,a6#"#;.#")*$)*"A64Qd("#"A$/,$O t § M$rl0wV_).#'8)*,!051()*"A/,05
B•!"05//,$/ /458Vga#"=69%()./6

%$X Fy j $BP).#0."A%4Z,0y] M ›5d-Mw1'C)*"A'8t#"e().6$'Bl6G"05/A/,$//60`>

6 "$/#).'8$%€1e#,"AIX

'C6$/†)*"3)*D(/,$Q#B
82/=C1e('8$%€)*2$/, s &).O8$/=/605&'C%€D%$O#).'TVg0."=D0. /,J8605&6S"$/#).'C646MŸa0.,G)*e)}5).0.D().WC/9H$,$%W,0ƒDf s &).'EVg0." 69\>t0G/,^0.VP9/).1e/,,"$).1ÈV_&805/$M x Z¥T846M{3>t "$/$OJ6 I&1e#"AC#).'05&6,(&!Vg0."p6†#&6";*)*&6"051e056$Q/#M – 45). BI6J"$/&'8/p"$')*,$%f,0S6 ¥ § „)*"=%6#(,$%cDIa6#"$)./E05/,=VX0."w2 § fDQ2B(6 /6$)*"aVX0."L9 § c/L"$')*,$%G,0o Ž 6"05&45  jŽ ü

ì

ë

 5 3 J J ü$X – rø j JJ 7 r  ø j JJ 7

[

Ž 

ìì

] M ˜.d

– 60.6#"21e0.").Q s &().O8nJA€#).FD9"$).%'8p€%/,('C)$ "$).%6a#" ¬ ­ s ® ü ­®•¯ ­ ® M x c6905O,Ha0.VT69 § B66 ).).'0.4.05&/w,#"A1 "$).%/ ¯P ¦ @7 ] M {.{5d ©° ª « ¬ ° ­s ®  ,§

M

M

ì

M

>a ¬ ° ­ s ® ü ­®3¯ ­ ® M ¯P ±

x —0."A%6#"S,0ƒ056$S6„\>t0€(C&6"$/#Bl6fR.#p#$…63\>t0 0I0."A%()*,2/,a64e05/,"A).Qa19&(/,L605'%

M

M

ªc«K¬ ­s ® ü ° ª« ¬ ° ­ s ® 

ì

] M {~|Qd

ŸJ0?>2B/A†6=,$1e#"A)*&6"A4."-).%8$Q/EVX0."Ln>p0f0Q0."A%()*,=/,a8„)9%"$p051e+)*"A/,05f0.V
6(Qp030I0."A%C)*, /,p00I0."A%()*,2/,L "A)*,$/).%=Vg" s & $#8$/
D+)./,$%=052!¥ § 2).%26E § =)*"A "$/,$Q,$% M(ra6=;~).'C&6$/w)*" %$O#).'("0?;64e6205(//,,$L€"A)*,$/aF&8/w0.V ›w· ]_'8#Vg-dE).%FVX"A s &6$(#8$/L[&(8/E0.V ›w· ]g"A845Q-d T Vg"051 6='6$)*" x rJÅ#).'#&(')*805/pD().¸/,$%„05„6=¥ § Z]_'`d).%f6  § €]_¸ "05//,$/•d-M 

¹°»!»ºe³Æ¶w ¿

J¸Ç¹a¾  a¿9A»T 

 2e»P·¼¸? aº¶

2 e³Æ»P
¶LÁ

 a¿E¶L³Æ¶w¿Y»P½ e-ÁA-Â
A e³ x G/a/,$805 B+>pS#)*""t=05'82B+620I0."A%)*,9/,Ë8Ê &Æ Ê‚Ë8Ê Æ&ʂË&Ê Æ8Ê>Ë8Ê U ù y y b]zy d û U Æ&ʂË&Ê 8Æ Ê>Ë8Ê Æ&ʂË8Ê

]ˆ{IM š5d

6#"A#VX0."„]ˆ{IM ‚5dED$051e$/ ‡ ÆÇÉÈ

M

ü 

ì ø3¶ 7 

¿¼d7  7¿ 

¶

̟U

¶  ¿  ¿ Æ8Ê>Ë8Ê  ø 7 ¼d7 7 ‡

M

ü

 U

ú

]

y

MM [ a MM [[

M[ M a M[ [

y Ly y  Æ&ʂË8Ê &Æ Ê‚Ë8Ê Æ8Ê>Ë8Ê Æ8Ê>Ë8Ê U Î y y ¯]zy d û U Æ8Ê>Ë8Ê 8Æ Ê>Ë8Ê Æ&ʂË8Ê

]ˆ{IM ›5d

x c6 /).12Vg)./A805 B>t20.D). ‡ ÆÇwÈ

[

ü ü



ì ø3¶ 7



¶

Ì U

U ø 7 Æ8Ê>Ë8Ê   ¶ ‡

[



ø



2Æ&M[ʂË8Ê yXÆ&[aʂË&Ê LyXÆ8[[Ê>Ë8Ê y:Æ&MaʂË8Ê y MM y [[ b]zy M[ d [ Æ8Ê>Ë8Ê Æ&ʂË8Ê Æ&ʂË&Ê y

U U



û

Î

ë

]ˆ{IM #œ d

ì*œ

í­îï1ðwñ,ò†óôDõ ôIöb÷VôYø{ùYòðw÷î ¥&6"6#"-1e0.".B>pe%6#"-8;.99"$'C)*805/VX0."†6R.#Ë8Ê

ü

ë

¶  ¶  ¶ ü ü ]=Ó ©wÔ y d   5ø 3ø 7  5 ø‹¼ 3ø 7 Æ ÇÉÈ

ëbë d

]ˆ{IM

Ÿa0`>2B6O;*)*"A).(20.VP6€'C)./,0?;[ s & )*805Z>a["$/,$J,0c0I0."A%C)*, ,"A).(/,VX0."U 1)*805/a1e05/,$/E62"-&'8]_/,# ).'/0F] M {~|Qd,d

ì

]=Ó ©wÔ yd

ª Æ8Ê>Ë8Ê ü¬]=Ó ©ÕÔ yd ª « ÆÇÉÈ ù Æ&ʂË8Ê « ÆÇÉÈ

ëNì d

]ˆ{IM

>a-[F&6"A[1('8$/E)*#B+VX0."6S051e()*"A/05G0.V6 +Op9%6#$%G05/A%6#"L69/).1e2Š(&6Hf&6D

Vg0."TD0.0%6$/#M*àƒw"0#$%S>a8S6w051e()*"-/,05S0.V6w1e#,"ACp$'$1e$O/$M*ra6p"-&'8$/

0.2

α bθ

BN

1.5 1.1 0.7

-π

0

π

0.1 0.0

-π

θ

0

π

θ

¥T845&6"A=‚  ]_¦
#Vg-d § 051e()*"-/,05c0.V6 60."A13).'87#$%c1)*456#2K$'%cVg0."2 †žpŸJžÇ]_"05//,$/•d-M]_ma45O-dL6).1e=VX0."J6260."A13).'87#$%G051e056$Q#M

ì

]_'C6`dp).%

"$'C)*64[6$/ s &).O8$/2Vg0."93\>t0i0I%6$/S)*"f458;.$hDIa6#"At)*("0."A)*,.M.F0."#0?;.#"$B.E1#,"A 0519D()*05‰y y ƒ]zy d BI)*$)*"A649e6/).1eK45&6".BI/P"-).#).''8tG>a''p"$/$O).%b%/#&/A/9"A$/&'8/SVg"051

ì

)c'$)*" x rJ®(/,)*D('\p—&/ƒ6—/1e+'8 Ž UÚ¶®1e0I%$'=)./[60."A1GBEVg0."[>aCA 60¢/,$#).'2,"-)./,Vg0."A1)*805/Z)*"…" s &8"$% MJrL6h"A$'8#;~).Qi051e()*"A/05^)*$)*"A/Z

í­îï1ðwñ,ò†óôDõ ôIöb÷VôYø{ùYòðw÷î

1.8

50.0

1.0

5.0

0.2

g12

g11

ìbì

-π

0

-40.0

π

-π

0

θ

θ 2.2

g11g22-(g12)2

g22

160.0 80.0 0.0

-π

0

π

1.4 0.6

-π

0

θ

2.0

0.0

0.2

ω2

ω1

2.0

-π

0

π

θ

¥T845&6" ˜  § 051()*"A/,05„0.Vl621e#,"A$'8$1$O/wVg0."2 )*VX,#"J"$/#).'C646M

-2.0

π

π

-1.5

ì

]_'6`d!).%F†žpŸJžÇ]_"05//,$/-d

-π

θ

0

¥T845&6"Fš  § 051e()*"A/05@0.V†6[#&";~)*&"[051e056$Q/Vg0."„2 ]_"05//,$/•dw)*Vg,#"a"$/#).'C646M

π

ì

θ

]_'C6`d9).%¯†žpŸJž

ù fðIò VôYñðwñQðsõ2õq÷_fðIòˆKôYñlô~‘T’nð`“\ñ,ùYòˆ_2ZôAô`Œ#Qãñ:ðIòù^øk”øNòù•’nø

ì{

0.3

1.4

0.2

0.8

0.1

ω

γ

‹ -ŒAŽ  ˆ

0

0.2 0.4 ky ρs

0.2

0.6

0

0.2 0.4 ky ρs

0.6

ì

¥T845&6"AS› –ª« /#).€VX0."¥ Ž UÚ¶W4.#051e#,"L¢"A)*,$/G¢&8/30.V¡³[²ÛM=]_ma845Q-d § 051e()*"-/,05y0.V 6 Vg" s &6$#8$/wG&(8/E0.VM³[²>ÛB6>a6#"A:Û¬/w621)`j,0."a"-).%&/#M

¥T846Mp›IMt¥60."3F‰ xxx U\‰­#)./,.B!6€'6$)*"("0.#"8$/0.V†6F(/,)*D('\t€"A$/"A8Dh]=Ó ©wÔ yd ü  {.}…).•U Æ ÇÉÈ ÆÇÉÈ 0."A%(64—,0@6F"A&('8@]ˆ{IM d-Mw¥60."c6$/,Z#).'#&')*805(/#B!8„/).//&(1e$%y)*„6Z60.",U

ëbë

1).'C87#$%y805y%$/8nL—"-)*,$/ ƒ&(8/0.V6³[²¶PMp]_mJ845Q-d § 051e()*"-/,05i0.V s &6$#8$/wG&(8/E0.VM³[²>¶!M

‹Ü

²¢ PÁA · ·

rL6†).1 0.V
C/p>t0."R„/t,0%"A)$>±)*,,$Q805G,0e6=%8;.#"-/8\t#"GH('8058,$%WCÊ0."A%6#"e,0—;.#"AVXt

ù fðIò VôYñðwñQðsõ2õq÷_fðIòˆKôYñlô~‘T’nð`“\ñ,ùYòˆ_2ZôAô`Œ#Qãñ:ðIòù^øk”øNòù•’nø

ì}

‹ -ŒAŽ  ˆ

#"Vg0."A1e$% x r°4.a6$f>p0."R64 >a83).„ž!¥ x rb s &'C8D"A&(1ÅVg0."t6a,0.R*).1)*Rf‰ xxAx U\‰SB 0.V6 /).1 '8#;.$'
)./w>J8c6 1e0%6$'! Ž l¶…056K45&6"-)*805 M rL6("$/,$Q:).).'8E)./
"$/,"A,$%=,0J6P)~HC/,2B>t #').1 )*L6="A0.#"L%#K(8805„Vg0."L6 '0I#).'
/A6$)*"a/ —–˜š™œ›PüT{) S %V')!ù

>a8

iü

' %eø # )  y P"P 

ì

]– U d

rL6¡}O).0.D().G0.VT62/,t)*"A%

).'84.#D"A)B(>p20.D().  %V')

ì ü

ì ü

6587 y ` „ P –Í  6587 „ç%ㄠ–Í 

l»y P Ù %ø] %G0Il%_ † ù y P"P y P ` ½Ky P Ù † ')%øI] %eøm')%‰0 † y P"P Í

] – U|Qd

).%GK(().''8< —
˜š™œ›!ü

ì

 85 7 , y P Ù „ b] Ù ] `Id6„èy P `   U U –Í y P"P †a† Í

] – Un}5d

ù fðIò VôYñðwñQðsõ2õq÷_fðIòˆKôYñlô~‘T’nð`“\ñ,ùYòˆ_2ZôAô`Œ#Qãñ:ðIòù^øk”øNòù•’nø

ì˜

‹ -ŒAŽ  ˆ

r)*RIC64e6=Š(&HG)$;.#"-)*4..B+>t2$%G&6F>a8 é —
˜š™œ›"êPü

ì

65&7 7 ù :Í  Í

] – Un‚5d

ìì

I&/w"#,"-8#;IC646=HI("$//805[0.V Ž VX0."a6 ¥ § —]_/,# ).'/,0Z] M }5d,d-M

ë

ÉE)./,$%i05Z6"#"$/$O)*805y] – U d-B >tS"A#>L"A8,G] – Un}5dCZ)„Vg0."A1¨>a-€'$%/ 8/$'8V:,03I&1e#"-#).'#;~).'C&)*805G;)62¥T¦r^1e#0I% M+6&#$//8;.$'p ()$;. ü ü

%V'  S %V'

y ‚P \ % øaù  y P"P y %øm'2% „ P>\ † ù y P"P y P‚\  #TS % „   y P"P † %ú‰



ü

ë

¥&"6#"L>t 60.=()*#B+).'80564e2K$'%G'C6.BIL605'%/ #TS % üY ~ ¯ B6I&/ ¯~ {– ~  y P‚\ —
˜ž™œ›!ü „  

5û y P‚P †

] – U«˜.d

ì ë

– /L)eK(().' /,,#
B>t2/&6D(/8&6,=6=;*).'&6=0.VT62/,,"A$).1 V_&805—]_/,#„] M š5d,d-BI&/ —
˜š™œ›Pü

 y „ P‚\  Oû y "P P †

] – Unš5d

rLtVg0."A1 ] – Unš5dT/1e05/P/&8)*D('pVg0."P#).'#&')*C64†6L'80#).'6/6$)*">a8S6Lram –a§ žpm 0%6.M

ìš

í­îï1ðwñ,ò†óôDõ ôIöb÷VôYø{ùYòðw÷î

Þ ´e´„»!.ßë¹ àGì  2 a¸— J¸—»rßS´ »!·+· 

íîIïœð1ñ

x  6PVg05''80?>J646B$>tp)*,,$1e(:,0a4.$#"A).'87#.B`"A)*6#":(). "A0?;.!H"$/A/8053]ˆ{IM š5d-M

2M X[ Aa

I$#8K(#).''a8h63"A0Q0.VE0.VEHI("$//805¢]_ÉpU d2)./9VX05'C'80?>a/„]g"#$)*,$%@C%$/2)*"A /&11$%+d ü

ˆ'%G

ü

Ø

]

a U @/ ö a ')ö @ üå{»Ø a U @ɐ]Éö M ')ö [ d6')ö @ {“Ø a Ð ]zy MM ö [ Ly M[ ö M d M  ]±]zy M[ ö [ Ly [[ ö M d [  U U ]zy Ma ö [ ny [a ö M d a   U Ò

]_ÉpUn{5d

rL6$ B ]/ˆŠ')%‰=d S %_ó°ü¬]/ˆŠ')%G†d S ö ô ó Uô

]_ÉpU|Qd

ë

>a- B605[/&D(/,8&605f0.V62H"$/A/805—]_ÉpUn{5d-B+"A$).%'8pG05/,&'C)*,4¼üÁfB”óµü ø(BMò „ü ø+B

ù fðIò VôYñðwñQðsõ2õq÷_fðIòˆKôYñlô~‘T’nð`“\ñ,ùYòˆ_2ZôAô`Œ#Qãñ:ðIòù^øk”øNòù•’nø

ì›

ò

‹ -ŒAŽ  ˆ

[

ü±úG).%¥ò

a

ü¯û!BI&/

a

M M y [[ b]zy M[ d [ ’çU  ú U  üT{»Ø a ‘ y MM y [[ y]zy M[ d [ ’ Ð U ú

]/ˆo')%Ged S %øüTI{“Ø Ð ‘/y

U

ŸJ0?>2B(>p 0.2)*#B45;.$G62"#("$/,$Q)*805 #

a MM y [[

{ȯ ]zy

b]zy

M[ d [ düå{»Ø a  [[

üå{“

a   [

M M y [a Ly M[ y Ma ’,U  û Ò U y2MM.yX[a!ny2M[y2Ma  U ]  y MM y [[ ¯]zy M[ d [ û Ò U ü$ &%Wò M ')%Wò [ B6>p24.#

]_ÉpUn}5d

  ü ü¼    

]_ÉpUn‚5d

]÷‘=y

ü$

[

rL(/E05#'&%6$/L62"0I0.V:Vg0."L6 HI"A$//805—]ˆ{IM š5d-M

ø¬»P¸?»P »!»P·

ë

o •q àÅMt‰9Mt‰ù™NJ)*$/,$'##"$BpàÇMpŸ9MEMpN8A605
B}6Mp‰9M § ).''8$
B”}6Mp¦!Mt605##B ¥T'&6H

ë ë

§ 0Q0."-%)*,$/w).%€F)*456#C2¥T8$'%FI,"A&(&6"3]I"-64.#"$B6Ét#"A'
B ›.› d-M

ì

o `q – M€hMF‰†1/#B€SMFÉE)*,$1). BƒhM – M€Ép##"?B€ÉM x M § 056$ BFàÅMF‰0."A'C).% B SM:àÇMN).11e#,#B § Mƒú21GB»}MlžLMƒú2/#a'#