{VERSION 6 0 "IBM INTEL LINUX" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal " -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {PARA 0 "" 0 "" {TEXT 256 88 "variational_compound_pendulum.mw s 9/28/04 Euler-Lagrange equations for double pendulum" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 216 "restart:\nEt:=(m1*(a1*l1*thd)^2 + \+ m2*( (l1*thd)^2 + (a2*l2*phd)^2 + 2*l1*l2*a2*thd*phd*cos(ph-th)))/2;\n Er:=(m1*k1^2*thd^2+m2*k2^2*phd^2)/2;\nV:=-g*(m1*a1*l1*cos(th)+m2*(l1*c os(th)+a2*l2*cos(ph)));\nL:=simplify(Et+Er-V);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#EtG,&*,\"\"#!\"\"%#m1G\"\"\"%#a1GF'%#l1GF'%$thdGF'F* *&#F*F'F**&%#m2GF*,(*&)F,F'F*)F-F'F*F**()%#a2GF'F*)%#l2GF'F*)%$phdGF'F *F**0F'F*F,F*F:F*F8F*F-F*F%#ErG,&**\"\"#!\"\"%#m1G\"\"\"%#k1GF' %$thdGF'F***F'F(%#m2GF*%#k2GF'%$phdGF'F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"VG,$*&%\"gG\"\"\",&**%#m1GF(%#a1GF(%#l1GF(-%$cosG6#%#thGF(F( *&%#m2GF(,&*&F-F(F.F(F(*(%#a2GF(%#l2GF(-F/6#%#phGF(F(F(F(F(!\"\"" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%\"LG,4*,\"\"#!\"\"%#m1G\"\"\"%#a1GF' %#l1GF'%$thdGF'F***F'F(%#m2GF*F,F'F-F'F**,F'F(F/F*%#a2GF'%#l2GF'%$phdG F'F**0F/F*F,F*F2F*F1F*F-F*F3F*-%$cosG6#,&%#phGF*%#thGF(F*F***F'F(F)F*% #k1GF'F-F'F***F'F(F/F*%#k2GF'F3F'F**,%\"gGF*F)F*F+F*F,F*-F66#F:F*F***F @F*F/F*F,F*FAF*F**,F@F*F/F*F1F*F2F*-F66#F9F*F*" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 266 "dfdy1:= subs(th=th(t),ph=ph(t),thd=thd(t),phd =phd(t),diff(L,th));\ndfdy2:= subs(th=th(t),ph=ph(t),thd=thd(t),phd=ph d(t),diff(L,ph));\ndfdy1d:=subs(th=th(t),ph=ph(t),thd=thd(t),phd=phd(t ),diff(L,thd));\ndfdy2d:=subs(th=th(t),ph=ph(t),thd=thd(t),phd=phd(t), diff(L,phd));\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&dfdy1G,(*0%#m2G \"\"\"%#l1GF(%#l2GF(%#a2GF(-%$thdG6#%\"tGF(-%$phdGF.F(-%$sinG6#,&-%#ph GF.F(-%#thGF.!\"\"F(F(*,%\"gGF(%#m1GF(%#a1GF(F)F(-F36#F8F(F:**F%&dfdy2G,&*0%#m2G\"\"\" %#l1GF(%#l2GF(%#a2GF(-%$thdG6#%\"tGF(-%$phdGF.F(-%$sinG6#,&-%#phGF.F(- %#thGF.!\"\"F(F:*,%\"gGF(F'F(F+F(F*F(-F36#F6F(F:" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'dfdy1dG,***%#m1G\"\"\")%#a1G\"\"#F()%#l1GF+F(-%$thdG 6#%\"tGF(F(*(%#m2GF(F,F(F.F(F(*.F3F(F-F(%#l2GF(%#a2GF(-%$phdGF0F(-%$co sG6#,&-%#phGF0F(-%#thGF0!\"\"F(F(*(F'F()%#k1GF+F(F.F(F(" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%'dfdy2dG,(**%#m2G\"\"\")%#a2G\"\"#F()%#l2GF+F( -%$phdG6#%\"tGF(F(*.F'F(%#l1GF(F-F(F*F(-%$thdGF0F(-%$cosG6#,&-%#phGF0F (-%#thGF0!\"\"F(F(*(F'F()%#k2GF+F(F.F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 219 "# \"subs\" syntax: subs( old1=new1, old2=new2, ..., \+ expression)\nELeqn1:=subs(phd(t)=diff(ph(t),t),thd(t)=diff(th(t),t), d fdy1=diff(dfdy1d,t));\nELeqn2:=subs(phd(t)=diff(ph(t),t),thd(t)=diff(t h(t),t), dfdy2=diff(dfdy2d,t));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%' ELeqn1G/,(*0%#m2G\"\"\"%#l1GF)%#l2GF)%#a2GF)-%%diffG6$-%#thG6#%\"tGF3F )-F.6$-%#phGF2F3F)-%$sinG6#,&F6F)F0!\"\"F)F)*,%\"gGF)%#m1GF)%#a1GF)F*F )-F96#F0F)F<**F>F)F(F)F*F)FAF)F<,,**F?F))F@\"\"#F))F*FGF)-F.6$F0-%\"$G 6$F3FGF)F)*(F(F)FHF)FIF)F)*.F(F)F*F)F+F)F,F)-F.6$F6FKF)-%$cosGF:F)F)*0 F(F)F*F)F+F)F,F)F4F)F8F),&F4F)F-F%'ELeqn2G/,&*0%#m2G\"\"\"%#l1GF)%#l2GF)%#a2 GF)-%%diffG6$-%#thG6#%\"tGF3F)-F.6$-%#phGF2F3F)-%$sinG6#,&F6F)F0!\"\"F )F<*,%\"gGF)F(F)F,F)F+F)-F96#F6F)F<,***F(F))F,\"\"#F))F+FDF)-F.6$F6-% \"$G6$F3FDF)F)*.F(F)F*F)F+F)F,F)-F.6$F0FHF)-%$cosGF:F)F)*0F(F)F*F)F+F) F,F)F-F)F8F),&F4F)F-F " 0 "" {MPLTEXT 1 0 150 "#LINEARIZATION OF SINE AND COSINE AT th=0, p h=0:\nid:=x->x;\none:=x->1;\nEL1:=eval(subs(cos=one,sin=id,ELeqn1));\n EL2:=eval(subs(cos=one,sin=id,ELeqn2));\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#idGj+6#%\"xG6\"6$%)operatorG%&arrowGF(9$F(F(F(6#\"\" !" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$oneGj+6#%\"xG6\"6$%)operatorG% &arrowGF(\"\"\"F(F(F(6#\"\"!" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$EL1 G/,(*0%#m2G\"\"\"%#l1GF)%#l2GF)%#a2GF)-%%diffG6$-%#thG6#%\"tGF3F)-F.6$ -%#phGF2F3F),&F6F)F0!\"\"F)F)*,%\"gGF)%#m1GF)%#a1GF)F*F)F0F)F9**F;F)F( F)F*F)F0F)F9,,**F%$EL 2G/,&*0%#m2G\"\"\"%#l1GF)%#l2GF)%#a2GF)-%%diffG6$-%#thG6#%\"tGF3F)-F.6 $-%#phGF2F3F),&F6F)F0!\"\"F)F9*,%\"gGF)F(F)F,F)F+F)F6F)F9,***F(F))F,\" \"#F))F+F?F)-F.6$F6-%\"$G6$F3F?F)F)*,F(F)F*F)F+F)F,F)-F.6$F0FCF)F)*0F( F)F*F)F+F)F,F)F-F)F8F),&F4F)F-F9F)F9*(F(F))%#k2GF?F)FAF)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 321 "EL1:=expand(subs(diff(ph(t),t,t)=p htt, diff(ph(t),t)=pht,\n diff(th(t),t,t)=thtt, diff(t h(t),t)=tht,\n ph(t)=ph,th(t)=th, EL1) );\nEL2:=expand (subs(diff(ph(t),t,t)=phtt, diff(ph(t),t)=pht,\n diff( th(t),t,t)=thtt, diff(th(t),t)=tht,\n ph(t)=ph,th(t)=t h, EL2) );\n\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$EL1G/,**0%#m2G\" \"\"%#l1GF)%#l2GF)%#a2GF)%$thtGF)%$phtGF)%#phGF)F)*0F(F)F*F)F+F)F,F)F- F)F.F)%#thGF)!\"\"*,%\"gGF)%#m1GF)%#a1GF)F*F)F1F)F2**F4F)F(F)F*F)F1F)F 2,2**F5F))F6\"\"#F))F*F;F)%%thttGF)F)*(F(F)F%$ EL2G/,(*0%#m2G\"\"\"%#l1GF)%#l2GF)%#a2GF)%$thtGF)%$phtGF)%#phGF)!\"\"* 0F(F)F*F)F+F)F,F)F-F)F.F)%#thGF)F)*,%\"gGF)F(F)F,F)F+F)F/F)F0,0**F(F)) F,\"\"#F))F+F8F)%%phttGF)F)*,F(F)F*F)F+F)F,F)%%thttGF)F)F'F0*.F(F)F*F) F+F)F,F))F-F8F)F/F)F)F1F)*.F(F)F*F)F+F)F,F)F>F)F2F)F0*(F(F))%#k2GF8F)F :F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "EL1:=rhs(EL1)-lhs( EL1);\nEL2:=rhs(EL2)-lhs(EL2);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$E L1G,2**%#m1G\"\"\")%#a1G\"\"#F()%#l1GF+F(%%thttGF(F(*(%#m2GF(F,F(F.F(F (*,F0F(F-F(%#l2GF(%#a2GF(%%phttGF(F(*.F0F(F-F(F2F(F3F()%$phtGF+F(%#phG F(!\"\"*.F0F(F-F(F2F(F3F(F6F(%#thGF(F(*(F'F()%#k1GF+F(F.F(F(*,%\"gGF(F 'F(F*F(F-F(F;F(F(**F@F(F0F(F-F(F;F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$EL2G,.**%#m2G\"\"\")%#a2G\"\"#F()%#l2GF+F(%%phttGF(F(*,F'F(%#l1G F(F-F(F*F(%%thttGF(F(*.F'F(F0F(F-F(F*F()%$thtGF+F(%#phGF(F(*.F'F(F0F(F -F(F*F(F3F(%#thGF(!\"\"*(F'F()%#k2GF+F(F.F(F(*,%\"gGF(F'F(F*F(F-F(F5F( F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 385 "#MY WAY OF LINEARIZI NG EL1 and EL2 in th, ph, and their derivatives:\nzap:=x->subs(ph=0,ph t=0,th=0,tht=0,thtt=0,phtt=0,x);\nEL1linear:=zap(coeff(EL1,thtt))*thtt + zap(coeff(EL1,phtt))*phtt\n +zap(coeff(EL1,th))*th + zap(c oeff(EL1,ph))*ph + zap(EL1);\nEL2linear:=zap(coeff(EL2,thtt))*thtt + z ap(coeff(EL2,phtt))*phtt\n +zap(coeff(EL2,th))*th+zap(coeff(E L2,ph))*ph+zap(EL2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$zapGj+6#%\" xG6\"6$%)operatorG%&arrowGF(-%%subsG6)/%#phG\"\"!/%$phtGF1/%#thGF1/%$t htGF1/%%thttGF1/%%phttGF19$F(F(F(6#F1" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%*EL1linearG,(*&,(*(%#m1G\"\"\")%#a1G\"\"#F*)%#l1GF-F*F**&%#m2GF*F .F*F**&F)F*)%#k1GF-F*F*F*%%thttGF*F**,F1F*F/F*%#l2GF*%#a2GF*%%phttGF*F **&,&**%\"gGF*F)F*F,F*F/F*F**(F=F*F1F*F/F*F*F*%#thGF*F*" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%*EL2linearG,(*,%#m2G\"\"\"%#l1GF(%#l2GF(%#a2GF (%%thttGF(F(*&,&*(F'F()F+\"\"#F()F*F1F(F(*&F'F()%#k2GF1F(F(F(%%phttGF( F(*,%\"gGF(F'F(F+F(F*F(%#phGF(F(" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "solve(\{EL1linear,EL2linear \},\{thtt,phtt\});\nassign(%);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#<$/% %phttG,$*,%#l2G\"\"\"%#a2GF)%\"gGF),,**)%#l1G\"\"#F)%#m1GF)%#a1GF)%#th GF)!\"\"*(F.F)%#m2GF)F3F)F4*(F6F)F.F)%#phGF)F)**F1F))F2F0F)F.F)F8F)F)* (F1F))%#k1GF0F)F8F)F)F),,*,F1F)F:F)F.F))F*F0F))F(F0F)F)**F1F)F:F)F.F)) %#k2GF0F)F)*(F6F)F.F)FCF)F)**F1F)FF4F4" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 109 "A:=[[coeff(thtt,th),coeff(thtt,ph) ],\n [coeff( phtt,th),coeff( phtt,ph)]] ;\n#simplify(A[1,2]-A [2,1]);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%\"AG7$7$,$**%\"gG\"\"\"%# l1GF*,***)%#a2G\"\"#F*)%#l2GF0F*%#m1GF*%#a1GF*F**(%#m2GF*F.F*F1F*F**() %#k2GF0F*F3F*F4F*F**&F6F*F8F*F*F*,,*,F3F*)F4F0F*)F+F0F*F.F*F1F*F***F3F *F=F*F>F*F8F*F**(F6F*F>F*F8F*F***F3F*)%#k1GF0F*F.F*F1F*F**(F3F*FBF*F8F *F*!\"\"FE*.F)F*F+F*F6F*F/F0F2F0F;FE7$,$*,F2F*F/F*F)F*,&*(F>F*F3F*F4F* FE*&F6F*F>F*FEF*F;FEFE,$*,F2F*F/F*F)F*,(*(F3F*F=F*F>F*F*FLF**&F3F*FBF* F*F*F;FEFE" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 533 "EXAMPLE:\nL1 :=0.3*m;\nL2:=0.35*m;\nM1:=L1*rho/m;\nM2:=L2*rho/m;\nE_t:=subs(g=10*m, m1=M1,m2=M2,l1=L1,l2=L2,a1=1/2,a2=1/2,k1=L1/sqrt(12),k2=L2/sqrt(12),Et );\nE_r:=subs(g=10*m,m1=M1,m2=M2,l1=L1,l2=L2,a1=1/2,a2=1/2,k1=L1/sqrt( 12),k2=L2/sqrt(12),Er);\nA1:=subs(g=10*m,m1=M1,m2=M2,l1=L1,l2=L2,a1=1/ 2,a2=1/2,k1=L1/sqrt(12),k2=L2/sqrt(12),A);\neigendata:=linalg[eigenvec ts](A1);\nevalf(%);\neigenvalues:=[evalf(linalg[eigenvals](A1))];\nneg :=x->-x:\nfreqs:=map(sqrt@neg,eigenvalues);\nfreq_to_period:=x->evalf( 2*Pi/x):\nperiods:=map(freq_to_period,freqs);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#L1G,$*&$\"\"$!\"\"\"\"\"%\"mGF*F*" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%#L2G,$*&$\"#N!\"#\"\"\"%\"mGF*F*" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%#M1G,$*&$\"\"$!\"\"\"\"\"%$rhoGF*F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#M2G,$*&$\"#N!\"#\"\"\"%$rhoGF*F*" }}{PARA 12 " " 1 "" {XPPMATH 20 "6#>%$E_tG,&**$\"++++vL!#7\"\"\"%$rhoGF*)%\"mG\"\"# F*)%$thdGF.F*F**($\"++++]%$E_rG,&**$\"+++ +D6!#7\"\"\"%$rhoGF*)%\"mG\"\"#F*)%$thdGF.F*F***$\"+L$eky\"F)F*F+F*F,F *)%$phdGF.F*F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#A1G7$7$$!+')))))) )))!\")$\"+ommmYF)7$$\"+Vr&G9\"!\"($!+H9dG5F/" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%*eigendataG6$7%$!+IT,^A!\")\"\"\"<#K%'vectorG6#7$$\"+ Y%,eigenvaluesG7$$!+JT,^A!\")$!+0*eBp\"!\"( " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&freqsG7$$\"+e`[WZ!\"*$\"+bp!4I \"!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(periodsG7$$\"+_LJC8!\"*$ \"+&))\\)H[!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 368 "#EXTRACT THE EIGENDATA AND CONSTRUCT THE GENERAL SOLUTION\nm:=1;\nN:=2;\nfor i from 1 to N do\n lambda[i]:=evalf(eigendata[i][1]);\n v[i]:=conve rt(evalf(op(eigendata[i][3])),list);\n sol[i]:=expand((c[i]*cos(sqrt (-lambda[i])*t)\n +d[i]*sin(sqrt(-lambda[i])*t))*v[i]);\nod: unassign('i'):\ngensol:=unapply(sol[1]+sol[2],t);\ngensold:=unapply(d iff(gensol(t),t),t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"mG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"NG\"\"#" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%'gensolGj+6#%\"tG6\"6$%)operatorG%&arrowGF(7$,**($\"+ ue8Ib!#5\"\"\"&%\"cG6#\"\"#F2-%$cosG6#,$*&$\"+ap!4I\"!\")F29$F2F2F2!\" \"*($\"+ue8IbF1F2&%\"dGF5F2-%$sinGF9F2F@*($\"+Y%(gensoldGj+6#%\"tG6\"6 $%)operatorG%&arrowGF(7$,**($\"+:A>%>(!\"*\"\"\"&%\"cG6#\"\"#F2-%$sinG 6#,$*&$\"+ap!4I\"!\")F29$F2F2F2F2*($\"+:A>%>(F1F2&%\"dGF5F2-%$cosGF9F2 !\"\"*($\"+.soGFF1F2&F46#F2F2-F86#,$*&$\"+d`[WZF1F2F?F2F2F2FG*($\"+.so GFF1F2&FDFLF2-FFFNF2F2,**($\"+9&R'Q7F>F2F3F2F7F2FG*($\"+9&R'Q7F>F2FCF2 FEF2F2*($\"+1%*G\")QF1F2FKF2FMF2FG*($\"+1%*G\")QF1F2FVF2FWF2F2F(F(F(6# \"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 793 "th0:=0; ph0:=0.1; thd0:=.2; phd0:=.2;\nics:=\{gensol(0)[1]=th0,\n gensol(0)[2]=ph0 ,\n gensold(0)[1]=thd0,\n gensold(0)[2]=phd0\};\nsolve(ics, \{c[1],c[2],d[1],d[2]\});\nassign(%);\nplot( [gensol(t)[1],gensol(t)[2 ],t=0..10],labels=[\"theta\",\"phi\"]);\nsnapshot:=(th,ph)->plots[disp lay](plottools[line](\n [0,0],\n [L1*sin(th),-L1 *cos(th)],color=red,thickness=2\n ),\n plo ttools[line](\n [L1*sin(th),-L1*cos(th)],\n [L1* sin(th)+L2*sin(ph),\n -L1*cos(th)-L2*cos(ph)],color=blue,th ickness=2 \n )\n):\ndt:=0.04:\nplots[display]( seq(snapsh ot(gensol(i*dt)[1],gensol(i*dt)[2]),\n i=1..150) ,i nsequence=true,\n axes=none,scaling=constrained);\nu nassign('c[1]','c[2]','d[1]','d[2]'):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$th0G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$ph0G$\"\"\"!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%thd0G$\"\"#!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%phd0G$ \"\"#!\"\"" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$icsG<&/,&*&$\"+ue8Ib! #5\"\"\"&%\"cG6#\"\"#F,!\"\"*&$\"+Y%>(!\"*F,&%\"dGF/ F,F1*&$\"+.soGFFFF,&FHF6F,F,$F0F1/,&*&$\"+9&R'Q7!\")F,FGF,F,*&$\"+1%*G \")QFFF,FLF,F,FM" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<&/&%\"cG6#\"\"\"$ \"+ue8Ib!#6/&%\"dG6#\"\"#$!+1!e[t$!#7/&F.F'$\"+ta$[M'F+/&F&F/$\"+Y5F, 7$$\"3m4tO:6mKrF0$\"3#f>>\\Q`n,\"F,7$$\"3#*z7\"=#oI(=\"!#>$\"3Pg5G;;=z **FE7$$\"3e@(*)>#)yzs\"FE$\"3s3w>Zh*ei*FE7$$\"3XpYt!RKLK#FE$\"36DP4E$R e7*FE7$$\"3)[=/%z.DfHFE$\"3e4\"R\"=X7,&)FE7$$\"3hF2$Q_r)>OFE$\"3s#4'p+ p4xxFE7$$\"3)4OG/Pq!)G%FE$\"3AxpJk`^\")pFE7$$\"3[lC#H&)yf%\\FE$\"3?S9l 7jy9 DgWFE7$$\"3bm0!*>*o'zmFE$\"3TssGOnSsOFE7$$\"3a)oB'e8zsuFE$\"3OX7%z7(oL BFE7$$\"3iYFv:K@dyFE$\"31PdyE#*)\\W\"FE7$$\"3Ux'oU@h.)yFE$\"3#p$[%*[e \\A8FE7$$\"316&)yF93\")yFE$\"3@@/\"H#R%oA\"FE7$$\"3@0]>,\\@fyFE$\"3,]J br)GA\"FE7$$\"3Cg*z_'yUwmFE$\"3:n2\"o #>BI`L0$FE$\"3j]-$[mB)GZFE7$$\"3,_%\\(*Q#GbBFE$\"3Sg BuJ#H$p_FE7$$\"30Q()*R))>Bm\"FE$\"3-!\\Se7c:x&FE7$$\"3;^?`7$4R')*F0$\" 3iXoqio:FE$\"3Sr2XmV`upFE7$$!3s%p*pL>dn@FE$\"3'[<4S n%eYoFE7$$!3%yXCF_\">VBFE$\"3'>'y3x,PwmFE7$$!3+rKLU:t&\\#FE$\"3=c:2*>x PY'FE7$$!3/xo%pQI]i#FE$\"3)**)*=lp-!4iFE7$$!3vKO+'e_T\"GFE$\"3=15e0tCv bFE7$$!3A'*Rj\\!=G\"HFE$\"3]m%*fs7$Gy%FE7$$!3-xnL$RCg#HFE$\"3@Ix(>22U% QFE7$$!3jAFyy^KhGFE$\"3LFV6#4Cix#FE7$$!38E^)4`r&GFFE$\"3;-]&)*Ro'*f\"F E7$$!3J`@Q!*\\eRDFE$\"3#o2a$p=%oQ$F07$$!3S(\\'=S:x2BFE$!3'>fo*e#f!*z*F 07$$!3W;5'G^)oZ?FE$!3He5o::OFBFE7$$!3;n_[\"\\xXx\"FE$!3digWtK%Qn$FE7$$ !359$R(Rt(Q]\"FE$!3(G@&o;eE*)\\FE7$$!3Ag\"oCHX\"\\7FE$!3eda'op6AD'FE7$ $!3VP&zB)4&o-\"FE$!3925Zg3EDuFE7$$!3*y1[x\\LP])F0$!3l\">&zsh<#[)FE7$$! 3^v\"**=ilQJ(F0$!3'phW(yl!)*R*FE7$$!3o\\:#)ffz%z'F0$!3^m>9Wa(e,\"F,7$$ !3_T(R@o0%=qF0$!3&Q(QqtIRu5F,7$$!3H.D&H:.SU(F0$!3?3n&R^#z'4\"F,7$$!3fQ P=?^:I!)F0$!3>SD)p8)\\96F,7$$!37!\\Z)*F0$!3>#y\\z8\"F,7$$!3X\"e%*= i;De\"FE$!3;r5WQ$y:7\"F,7$$!3:]$GlkCy)>FE$!3Cql89s#y3\"F,7$$!3'y&*Hn' \\`_CFE$!3CPEz(4a!Q5F,7$$!3t-a#4mb]'HFE$!3_(R+&oFKT(*FE7$$!3i$*H/jd%=^ $FE$!3M7\"[e&e%H)*)FE7$$!35')eZ+'=y2%FE$!3no-N3OkI\")FE7$$!3$3#[5eTzYY FE$!3&>q)R!ey<@(FE7$$!3aj/\")[sS*>&FE$!3zqrochffiFE7$$!35aw1^Ns@dFE$!3 Gd*QYbC&)H&FE7$$!3I+1!\\&R](>'FE$!3(4tGw)4xcVFE7$$!3.4+MNeS6mFE$!3=4[1 4KChMFE7$$!3qm=D@JW*>(FE$!3<%\\E@$)Q_!>FE7$$!3#*3zV) [5zF07$$!3ui%pX\"HdztFE$!3.eEt9)4\\%fF07$$!3<39'zr#\\LtFE$!3Shdw*zsyK% F07$$!3y\\*)\\D@EfsFE$!3z]#**RjUW1$F07$$!3>.i[vC\"p:(FE$!3%*)p-_YIm:#F 07$$!3;p\\b^p!*ooFE$!3pM,pY2h+9F07$$!3w/m/MYStkFE$!3)*3DV$*>6:?F07$$!3 (*y!4\"z.j*Q&FE$!3\"p6/#32DXpF07$$!3f9rY$RS**)RFE$!3`S@'R_&\\r:FE7$$!3 hs@(oS%elKFE$!3t%H:g\"Q`g?FE7$$!3&[m\"z')o^6DFE$!3[b4B'[?Ud#FE7$$!3WG& QShg;u\"FE$!3eF%o-K\"H\"4$FE7$$!3T,quhFx,(*F0$!35f'*)H)G:!f$FE7$$!3$y$ 4_Bt?6@F0$!3E_F0$!3-(G%zclu[WFE7$$\"3HiE+1T 3;7FE$!3b\\;&e.())oZFE7$$\"3-:?K1bof=FE$!3On8`%*)>F*\\FE7$$\"3)[yrI/fB W#FE$!3USYA'Qta5&FE7$$\"37EEDSYPbHFE$!3%4?yH%))=&4&FE7$$\"3?'f(R4y#=R$ FE$!357)QvYhI&\\FE7$$\"3fWX6-kzYPFE$!3vY@s\"e*ptYFE7$$\"3%3&*Q+/Yu,%FE $!3$o+'H6bHbUFE7$$\"3L\"ym&o:3.UFE$!37-4EvNq*p$FE7$$\"3vF0!zFV^I%FE$!3 kw8\"G0BC,$FE7$$\"35-JPk![rK%FE$!3^/I4ik[-AFE7$$\"3%y$QF4k)Q9%FE$!3mc1 $))>R.#>F07$$\"3(o#*=TI#e9PFE$\"3CAv@G:TR@FE7$$\"38Td4!G>pV$FE$\"3e\"= -]W8xO$FE7$$\"3N:y<>u!\\8$FE$\"3?bzOdGf.YFE7$$\"3y+R?FaSAGFE$\"3W!4i># 4a?eFE7$$\"3&[$pzJ,G8DFE$\"3kXT)=kr@*pFE7$$\"3.,^]7`De>FE$\"3#)=AB%of( )4*FE7$$\"3M&*>[5a'fc\"FE$\"39xE#>+$3u5F,7$$\"3_z\\4F_qa9FE$\"33Lw`T9? M6F,7$$\"3'=fe!*41!49FE$\"3#QwsGU5z<\"F,7$$\"3b5rb%H&379FE$\"3!ew*p%*y L$>\"F,7$$\"3g`#**fJyGV\"FE$\"3&p(=M:pQ/7F,7$$\"3@uX(\\*4_r9FE$\"3B14f n0-67F,7$$\"3PK)*G\"Q**z_\"FE$\"3*['y)Q'*GK@\"F,7$$\"33#R25Se]%>FE$\"3 w(R+P\"eT+\\YB`**FE7$$\"3nc34z*3i[$FE$\"3&[`9-0A]3*FE7$$\"3WT[sl:oaRFE$\"3kl +PDluA\")FE7$$\"3yYAb*\\UzU%FE$\"3!HDnDibJ4(FE7$$\"3i7#oDz)=!*[FE$\"3F cSHItICgFE7$$\"3x.lxM!oaK&FE$\"3'QHk7BZZ%\\FE7$$\"3R.qg\"og\"=dFE$\"3# *Q(3`'Qn#)QFE7$$\"3!p;g;JaM0'FE$\"3[&=7G-<^'GFE7$$\"3g\"H4%)\\2$*\\'FE $\"3Wk\"Q&*4#=h5FE7$$\"3[UZ`!eiod'FE$!3mf\"=D4FK-$F07$$\"3!p3s-`:A`'FE $!3)=A5\"fI+*f&F07$$\"3@Vvj5`3hkFE$!3kY-zKp&Q#yF07$$\"3^.wL*y%HjjFE$!3 oa$>>K[8p*F07$$\"3qj)>]/V)QiFE$!333#3x2(z>6FE7$$\"3FwP\\vi$3\"fFE$!31= \"\\caKHJ\"FE7$$\"3l'\\L-)pd![&FE$!3N)f#y4(f[O\"FE7$$\"3Hu'HOg]3M%FE$! 3)4me^^L*z5FE7$$\"3cPPnfm-**GFE$!3sS[,PY6`PF07$$\"3gG]W.#G()4#FE$\"3L? 2Q:1ep%)!#@7$$\"3=prX\\:gm7FE$\"3$G)H7c#e'\\eF07$$\"3+\"R(>\\(fg>%F0$ \"3+YrX#fk**4\"FE7$$!3ij')R29\\\\UF0$\"3/g+9f!)f.;FE7$$!3?!oS\"=Y))\\7 FE$\"34Yoe/X-q?FE7$$!3j%Q)y6xiQ?FE$\"3^Hdi!zfWZ#FE7$$!3GCr+^.nvFFE$\"3 Ge1o'e^Rz#FE7$$!3)4V4X*f*pW$FE$\"3B+z'3c*43IFE7$$!309M**>&)>cSFE$\"3#) Q-_fUP+JFE7$$!3ea:SKMDsXFE$\"3=FQp_]U[IFE7$$!3E*R5TFE7$$!3\"49ALwpkb&FE$\"36'4\"QHnCM;F E7$$!3%yYv#Rh:!f&FE$\"3c_$=/dWvF\"FE7$$!37Nv2RLC\"e&FE$\"3O`@&RkLEf%F0 7$$!3^ccEq$)*oZ&FE$!3>_xqHoq_[F07$$!3zMUF5U&pG&FE$!3whGW=o%f`\"FE7$$!3 Pzh4%ofN-&FE$!3bR\"RCaQ)oEFE7$$!3Dy-esXx+ZFE$!3!yX#eOK\"p&QFE7$$!3\"=[ $e'o1TL%FE$!38sOdW4%32&FE7$$!3'*e&f+X0+%RFE$!3Fi#z$=s()ziFE7$$!3&3km\\ )yKNNFE$!3j-%G6i#z_uFE7$$!3_01ZWPzOJFE$!3l[!Q?,?)e&)FE7$$!3A[BrroWgFFE $!3@?Y!H#FE$!3h3MHftC.6F,7$$!31+DjC`c7=FE$!3uuk x>BH*>\"F,7$$!3m0o].u./fcl\"FE$!3Z*RiSg!)o B\"F,7$$!3H%REMg\"zo;FE$!30czW[VaK7F,7$$!3](*[Qe!yHu\"FE$!3r'3>)z>z77F ,7$$!3mL>5'>8P1#FE$!3S=')f&=/!H6F,7$$!3qX&*pzsSzDFE$!3V!4K59p]#**FE7$$ !3$\\ET>'[vFKFE$!3d/`eNsUY\")FE7$$!3+I-*f\\k(GRFE$!3zGX#zc\"Q+hFE7$$!3 fYB\")Q9$HJ%FE$!3kU8!RZwG*[FE7$$!36^RT[8'*oYFE$!3oTzj@GW$o$FE7$$!3du:$ **e*)3)\\FE$!3%o*>\">D1?]#FE7$$!30$)poL!*pL_FE$!3%>e`[2dqP\"FE7$$!3'*Q Mp')H!QT&FE$!3=^hW9-3[LF07$$!3SVLy6e[4bFE$\"3'yFrI7fd,'F07$$!3$o.V3i(G 6bFE$\"3X'Q#oU?l79FE7$$!3RSB;Q6K7aFE$\"3Pi1j^%eK3#FE7$$!3P`Mi\\:mB`FE$ \"3E$G50cDCO#FE7$$!3e*G1]!4^3_FE$\"3<$*)Q3MRHg#FE7$$!3V![l1TCo1&FE$\"3 p9kk-SF/GFE7$$!39$RkNPZ()*[FE$\"3dZ:C,WAmHFE7$$!3)Q+LX/^\\[%FE$\"3SOYW (z`F<$FE7$$!3*><;ybW?(RFE$\"3E!p_#3^CFKFE7$$!3k!Q!plM$yO$FE$\"3Sl/sFE$\"3)yyg!3Uz' f#FE7$$!36Y$4\"=@wB6FE$\"3K_;m.;7#=#FE7$$!3OP'yd*yRwFF0$\"3RY:L7cU,F3I#FE$\"3.OhobgpS9F07$$\"3jBvOdhI7JFE$!3RLKKTeB5KF07$$\" 3^Rf77T[qQFE$!3YUnj_>.^rF07$$\"3#yB@j[u'fXFE$!39H(4j@uYK*F07$$\"33:([:Pok\\'FE$!3DXiI]&4ud(F07$$\"3#o)QAWax wlFE$!30bB?<4kaaF07$$\"3K,pckv#Rl'FE$!3$pNM@%Qq*3\"Fhdm7$$\"3b*R\"4Qv' Gi'FE$\"33DPXwG%zi'F07$$\"3CJheXL%)*['FE$\"3`)e1Sd&Hi9FE7$$\"3&fc!3?B$ QE'FE$\"3uM+()3%)zpBFE7$$\"3XkqR8?pofFE$\"33CkWif?ELFE7$$\"3,hc+4z!)4c FE$\"3t1'e'f$z-M%FE7$$\"3TFlK&zE1?&FE$\"3]S'y*e+N(Q&FE7$$\"3p8OXwehbZF E$\"3[;FIxy>TkFE7$$\"35h\"Q/zO)*G%FE$\"3pAZ9M%*yuuFE7$$\"33,@T;U]=QFE$ \"3*\\L=XKU5Y)FE7$$\"34Iwp$yTlN$FE$\"3a@H'e6$ft$*FE7$$\"3-f:0n![\"=HFE $\"3$QqEXra(=5F,7$$\"3\"*o#H)H;!G;#FE$\"3QO0*[0jJ9\"F,7$$\"3e5Yc)fjoj \"FE$\"31-JImW)[?\"F,7$$\"3*>ITo]G![:FE$\"3)Rm:'RCR47F,7$$\"323\\)*4XL x9FE$\"3EYN=$*QO47F,7$$\"3Q'H&e/#[]U\"FE$\"3\\rYa2Yw/7F,7$$\"3Ksh')\\f F\"R\"FE$\"3]#osMH*e&>\"F,7$$\"3IGZ;%)f*)y8FE$\"3Qwg<=Vjj6F,7$$\"3t$*Q ?+5&yV\"FE$\"3&\\^Mg)H.96F,7$$\"398`qvZ85U 9NdGn_@FE$\"3kHhQ8<=^!)FE7$$\"3QhYw;5=C%FE$!3B!fz9&>K/DFE7$$\"3ws)\\.*>I& 4%FE$!3Jox?ot.-RFE7$$\"3q(p)[$*>l$*RFE$!3%y%>$z$zAEUFE7$$\"3#*)R)[[7jk QFE$!36iHq)z^i]%FE7$$\"3!*4%Rnfg\"3PFE$!3l/#)yf?TTZFE7$$\"3zh\")G'e&QC NFE$!3(*G1AOgRJ\\FE7$$\"3c#H'>DoiwIFE$!3)RgTp!o]w^FE7$$\"3'pEx&)ppp_#F E$!3#y5[%4`rY_FE7$$\"3![!p`@dV%)=FE$!3=JqHoe,`^FE7$$\"3\\XmUh6FE$!3 5Q0\\Z#Q=\"\\FE7$$\"3g:4[^i!>s$F0$!3yl+c4#QWa%FE7$$!3&3qM!\\l+`YF0$!3c **QT!*p7wSFE7$$!3v4ve(oDAL\"FE$!36p_F^dONNFE7$$!3oa/o!*GM3AFE$!3&zBdke bF&HFE7$$!3&\\\">7WF'G2$FE$!3;!4^\"er&*fBFE7$$!38$3Bur0^!RFE$!3b*)y#*z jd)y\"FE7$$!3m7=(ovd^o%FE$!3y&H*f+P0p7FE7$$!33zaK]:]%R&FE$!3C&4dk6WfH) F07$$!3PjB6#f-m,'FE$!3?Z%*Q*=g<&\\F07$$!3E&f]pdIu`'FE$!37-!eGHhm'GF07$ $!3E8q,zD3\"*oFE$!3`'QehfBe?#F07$$!3OMuSv,9frFE$!3Q'ft/qs9j#F07$$!3-&> 0mcG+E(FE$!3DC()QDKqek5FE7$$!3MQk)>.*RTtFE$!3+/WhaT9[:FE7$$!3Vmb%>&QEsrFE$!3YvrWR] DG@FE7$$!3K%GG#Q\"Gm#pFE$!376wvFTp$z#FE7$$!3oI6))G!fsB'FE$!3!y.H'=5`BV FE7$$!3^NFfyDB[`FE$!3FN&ob$fB/gFE7$$!3qgKl)y)\\[VFE$!3WT3uY-u!o(FE7$$! 3ZP\\#)==YKLFE$!3+#zi*e%z5>*FE7$$!3-k.mD@**\\AFE$!3)=XyhdfO0\"F,7$$!3M Te]ej8*Q\"FE$!3_I_#Hh%4D6F,7$$!3l\\&)3EHO>7FE$!3]WS[+jPJ6F,7$$!38.yS^: yp5FE$!3468c?usK6F,7$$!3$fN$*3uD1T*F0$!3:8928!f!H6F,7$$!3t\")[Z0MuO$)F 0$!3@*)38V%=.7\"F,7$$!3$[%[?!=+)yuF0$!3*e*yB>**[16F,7$$!3(yDN$R6OPoF0$ !3%4*p>;Zf(3\"F,7$$!3\\y(4$>r#4T'F0$!3#[=r35\"pj5F,7$$!3#z'f+>U&f>'F0$ !3w4(e7'R([.\"F,7$$!38EE4Dbt5tF0$!3)*3-(GBWgt)FE7$$!3B]%\\JPhK5\"FE$!3 Q$[Dk(oN,lFE7$$!3SnHw.7hb8FE$!3:u%Q??TN@&FE7$$!3tAB;X)H:j\"FE$!3=y8j8y U_QFE7$$!3Q%ft:I/T\">FE$!32]*oDFx4X#FE7$$!3sI9SSj%f=#FE$!3*37\\9b$4V5F E7$$!3#z&Q1QFv.CFE$\"3`E:c>M]8=F07$$!3^VF$*\\F4)e#FE$\"34-T=#p;;O\"FE7 $$!3nEAiSO?GFFE$\"3#\\O(HeRCwCFE7$$!35c*=#oiP9GFE$\"3to)H))))[b]$FE7$$ !3_/NHJMAQGFE$\"3Fa_[=')4KWFE7$$!3)eGE!)p9Hz#FE$\"3nG^UV^7T_FE7$$!3?#y =*f;PtEFE$\"3&GcR7rr3#fFE7$$!3$fI?5c=kZ#FE$\"3#4:+yRiGY'FE7$$!3E92,\"R %)3?#FE$\"3)*Q.W,\")3ioFE7$$!3AN\"[yw`w%=FE$\"3*47o`J/r6(FE7$$!3hiSZT_ m>9FE$\"3e0ne(GQ+B(FE7$$!3?!>'y4*p&=#*F0$\"3v2uc'[0l?(FE7$$\"3d_D,/1]T DF0$\"3JR__gl#))y'FE7$$\"3=W-jem11;FE$\"3Ccdf!3v,(fFE7$$\"3Z:fkKix)Q#F E$\"3#*\\14-CB,aFE7$$\"3]lX!fXd'yJFE$\"3vXM/)QT5y%FE7$$\"3\"H#oD>xtdRF E$\"3s?I9O6_PTFE7$$\"3O6D5D7-3ZFE$\"3[w9$>4-))\\$FE7$$\"3.KCYd>D`gFE$ \"3c+Q2%f')RM#FE7$$\"3$ysFvz/&*3(FE$\"3\"R;4FDpD^\"FE7$$\"3RPd%)=PzguF E$\"3bpf$=9`kE\"FE7$$\"3W%f\"Q`%fDs(FE$\"3rCB7Y_?^6FE7$$\"3uYnuo:j5yFE $\"39oi8IR@X6FE7$$\"3vwv;*Q7FE7$$\"3Ou@=*Rp(**yFE$\"3!3!QnX'FE$ \"3)>UTI#Rk%)RFE7$$\"3S>$oKmF`$fFE$\"3*4\"z)p)y:RZFE7$$\"39/GA:D^j`FE$ \"3VC]wDc*\\_&FE7$$\"3BDDx>\\$FE$\"33DOvhM(o#yFE7$$\"3\")oa*f/ah'G FE$\"3qkpvrvB$\\)FE7$$\"3lx:tF>djAFE$\"3be1x!>,)p!*FE7$$\"3&*oMX@8mz6F E$\"3?j![nf>=()*FE7$$\"3+b\\A&*eKwKF0$\"3n@gz')R#)45F,7$$\"3&Q(3u^YW#e \"F0$\"3Q+rqz)Ga+\"F,7$$\"3'*zH_s&=4f(!#A$\"3!pf^g%y]o**FE7$$!3qgkz#=: %R7F0$\"3t!3nT_^0%)*FE7$$!3Z\"H[w-t6O#F0$\"3]dZ2#)GMq'*FE7$$!3&fL2!\\n ;ASF0$\"3n5d1#H5U?*FE7$$!31iPS4;a=\\F0$\"3Pm=w ofJaF0$\"3#*Gjq/2e$*RF07$$\"3Eb>oijKkyF0$!3H^>GiU(*[)*F07$$\"3s\\`T!*R (*35FE$!31no]o([\\L#FE7$$\"3/\"z$zY](f>\"FE$!3%*f1x=oR@OFE7$$\"3>4lEDF0$!3]79_S@^Q!*FE7$$!3gXhyI6()**=F 0$!3k(3Y&=[!R**)FE7$$!34K&yYhMU$pF0$!3<$oWSp:H\"))FE7$$!3-!e!\\X!Q*[=F E$!3+&35Na514)FE7$$!38:l6?$**>8$FE$!3='G#fl6L&*pFE7$$!3[`]j:Q!3z$FE$!3 ](RC0&GhbjFE7$$!3ui)[K$)*[VWFE$!3%QQ@U\"yd#o&FE7$$!3(\\Z(>%pel2&FE$!33 T%*RBG$z*\\FE7$$!3z9)oEB$pwcFE$!3w\")f,?mABVFE7$$!3&eXn-2pxs'FE$!3#yo, A%)pc3$FE7$$!3E\"QKKj/g](FE$!3_7XeZkI=@FE7$$!3f\"[_d2a/U\"FE7$$!3CATiG$pP`(FE$!3jM[R\" )yNm=FE7$$!34/V$otb\"*o'FE$!3_Z%)e4vlxFFE7$$!3$y'fZ4zhQhFE$!3Cf/SqudoL FE7$$!3jF'G8**[)>bFE$!3.usJ=rx@SFE7$$!3SUEF-p&y%[FE$!3'[ea_<\\Ir%FE7$$ !3/UDNH@zQTFE$!3b!o()**HJkT&FE7$$!3b;[M4I[4MFE$!3,$\\w$)*))*\\5'FE7$$! 3(=Dq,b_pn#FE$!3#fm_u!*)o^nFE7$$!3#zFZ'z5$z&>FE$!3v\"3$p%)*H,L(FE7$$!3 Qp>nF\"z$o7FE$!3uJ_VMVX:yFE7$$!3-xq(R5<7*fF0$!3kBYwI>x'>)FE7$$\"3=!>S0 ztC\"yF^_q$!3_zB4=oNJ%)FE7$$\"3F&HMP$GJ,aF0$!3#HLN'oy],&)FE7$$\"30$\\a p5;D))*F0$!3Wp')GJ=M%R)FE7$$\"3*[Dk/0`&y6FE$!39G7p]Cnr#)FE7$$\"3[#o<%e XdX8FE$!3$e#[.e;D-\")FE7$$\"3*ot6J#o)*)[\"FE$!3kY@;Q2+')yFE7$$\"3=)R!) fvj'3;FE$!3R%QUQZ(>BwFE7$$\"3%GAYIC@tx\"FE$!3G#>!Rj1#3'pFE7$$\"3&Hd6Vj eX&=FE$!3:f!*>5sPChFE7$$\"3)on:,kkk%=FE$!31%HP2@#\\G^FE7$$\"3r?ECUL(>w \"FE$!3EW%\\B@VF*RFE7$$\"3UX\"Gw!3a7;FE$!3b$[Tf]&3TFFE7$$\"3$)[xJi0u69 FE$!3)R9FE7$$\"3xwl$H\\`Ne'F0$\"3a'3#)>c(QNGFE7$$\"3HpmD3\" Hk7%F0$\"300\"*e!Hd)4UFE7$$\"3[masPp)))f'Fhdm$\"3il%>Dk?1T'FE7$$!3N$)) H#z3:M6F0$\"3(f\"G+JB**Q#)FE7$$!3Zw:I'HRW@\"F0$\"3RU(Q&pAqu*)FE7$$!3W( \\Rd3x)znFhdm$\"3Oj#R\\nVed*FE7$$!3]Ok%HL2Nn\"Fhdm$\"360(yutGL#)*FE7$$ \"3H2mC>\"oi3&Fhdm$\"3Nb(z#[;W.5F,7$$\"3MH$o&**eK^8F0$\"3k?\"3.Sg3-\"F ,7$$\"3\\t4&>ev4O#F0$\"3TIFYN$fX.\"F,7$$\"30$*ecgskONF0$\"3x63Qv#HX/\" F,7$$\"3[cz09hDw[F0$\"39!f(\\`;y]5F,7$$\"3D**)[&z'plP'F0$\"3\"[J0rQ[L0 \"F,7$$\"3^21UQNAL!)F0$\"3h0l]E;G_5F,7$$\"3_v%e[xd#z6FE$\"3`]Q%o.b&R5F ,7$$\"3(\\s;\"G(z(4;FE$\"3TYIi`mS85F,7$$\"3&4fF:2gTg#FE$\"3FGq%zyYZD*F E7$$\"3d-x2sHb7PFE$\"3hHN\")3ML,!)FE7$$\"3f$oke.ZtK%FE$\"3g_0a(>!\\>sF E7$$\"3[6/@936M\\FE$\"3K!*=B\">1'FE$\"3?z!>0Zous%FE7$$\"3([J5_l'\\xpFE$\"3;.g)= '=P&>$FE7$$\"3#GxZC\"G>zvFE$\"3$4wS_$y:u>FE7$$\"3G(=M2i?!QxFE$\"3]P\"Q V*)HF_\"FE7$$\"3)[1&*RNTNz(FE$\"3MT4bJ#*4$>\"FE7$$\"3R0?@h!)R\"y(FE$\" 3!*>5Ma\"Hi2\"FE7$$\"3P!)H6kNNUxFE$\"3.k.!H?h+#**F07$$\"3#*3YB0')QwwFE $\"3Z`:bjJ11%*F07$$\"3F\"3xx][Oe(FE$\"3fk1!4U`$>#*F07$$\"3P)oA>3JN&pFE $\"3>q:%yJ(Hj6FE7$$\"3oQ&Q?Igz%fFE$\"3C9/EpiL&eAF E$\"3ittC2Z(er%FE7$$\"3&Rph9yq4Y\"FE$\"3crRmdw0v_FE7$$\"30d\\+:t\"=%oF 0$\"3^`xxVj4ndFE7$$!3SU^KihaSbFhdm$\"35*Q`$z*)3nhFE7$$!3>;Na1DUk8FE$\" 3Vc^MhnI/mFE7$$!3#e$y#p\\$**oBFE$\"3t?i[^T\")[kFE7$$!3IL$R'erxkDFE$\"3 mQmda(fuI'FE7$$!3&**yFKs%=PFFE$\"3K#*y07:&R7'FE7$$!3zb5$[]8f)GFE$\"3g \"4x4Y_#)*eFE7$$!36_J>KJ%3,$FE$\"3XY!Rs'4kIcFE7$$!3jGj`:It*=$FE$\"3GUN 8%QkB(\\FE7$$!3kE%))*f$*\\wKFE$\"3%y4eSkqv:%FE7$$!3M`M5AGUxKFE$\"3K\"* H4+vl@KFE7$$!3c>s**p?!G?$FE$\"3A^?nG*=];#FE7$$!32^'y?\\-A1$FE$\"3uvl(G m/x+\"FE7$$!3Tc'G_2'*p'GFE$!3ip.T^&\\*G(p4\"F,7$$!3g]&zzI=[J*F0$!3$e&\\xKt**=6F,7$$!3ZSP^\"p#fY (*F0$!3^_,XZtaO6F,7$$!33VYvrD%o.\"FE$!3=z:iWnc\\6F,7$$!3)GV#G(=b!=6FE$ !3DOI_)fG!e6F,7$$!3W[@t;]h97FE$!3MSuqk)z=;\"F,7$$!3Xm8!pu'eG8FE$!3jYPv !4&\\h6F,7$$!3_9$z(*)obf9FE$!3y50N$4Gp:\"F,7$$!37u7)45tpg\"FE$!3@48LIx D[6F,7$$!3BUuDx;E[>FE$!3cC>76R/>6F,7$$!3f]S:f2TXBFE$!3%ftKpIf\\2\"F,7$ $!3;*HrW4G)pKFE$!3_*eG\"G/'H[*FE7$$!3ug[,>>L!H%FE$!3!3GIR0gF$yFE7$$!3y nx\"Q.AO![FE$!3/=:G,J-?pFE7$$!3e,zKj`@+`FE$!3rmO,$fp6)fFE7$$!3I96]'eFg w&FE$!3b]h=y;vS]FE7$$!3b))peb4S(='FE$!3_hJjBTyATFE7$$!3Ig9rffbYoFE$!3e v$3tSLPW#FE7$$!3!)G#pS&[d!>(FE$!3aW]6@L%=5\"FE7$$!3x8\\$pk69A(FE$!3!\\ Al;!=Uc!)F07$$!3\\9ED`OPAsFE$!3M;o(*\\/PhaF07$$!33Uuaq!eG>(FE$!3*H3:xf GlC$F07$$!3A'HjLs$[KrFE$!3I?(=W!3\\@9F07$$!3:kqM^\\4TqFE$\"3*f&fD***pN (y!#B7$$!3)fh&4ZOw=pFE$\"36;lD-!f%R5F07$$!3()*>)*eU*ylnFE$\"3:+dg]/$\\ n\"F07$$!33>g4Dzp#e'FE$\"3t$pfU'zp>>F07$$!3R1P)3fKtc&FE$!3s&>*zj.mIxFh dm7$$!3fyu(o!G%p;%FE$!3I()*fUyOfP)F07$$!3Y4B`n2;gLFE$!3;])z)z='eM\"FE7 $$!3&)f%>)fJ\"o]#FE$!3\\5l*y)Hb->FE7$$!325RT_f*pi\"FE$!30)=/@CIrZ#FE7$ $!31>>jO8%FE$\"3&G:2#4:rh>FE7$$\"3[\"GOx@DV'QF E$\"3u)RMb#*)=TJFE7$$\"3zzNc$FE$\"3vA%*4l-`RVFE7$$\"30W&)G@,gWKFE $\"37d\\*>S3;`&FE7$$\"3WDh\"oDr2#HFE$\"3mkDu^o1#p'FE7$$\"3eW!\\^%=J0EF E$\"3?o/==$zfz(FE7$$\"3.h$*fYv,Ve@Zu/j\"FE $\"3\\WZ-++3N6F,7$$\"3t&\\)=3'\\y`\"FE$\"3(pl=@3dQ=\"F,7$$\"3?ZPE6$32_ \"FE$\"3@\"\\M!)G,P@\"F,7$$\"3(R:&3!RM9a\"FE$\"3]q6ZSwJ@7F,7$$\"3&f@wE ^c=e\"FE$\"3\\kiD.$>SA\"F,7$$\"3ZZY%*R&o=k\"FE$\"3)Q4k(\\Y\"=A\"F,7$$ \"3r,^mC4=@AFE$\"39i/4TRyR6F,7$$\"3?t KNgK9eHFE$\"3*=ivYE9[)**FE7$$\"3fT(GE)yE*Q$FE$\"3qg8d?J5z!*FE7$$\"3C=r 0rxeUQFE$\"3\\$p![nh0u!)FE7$$\"3%QaWc%RE-VFE$\"3cvL\\#)R'y*pFE7$$\"3m! \\#>f=v^ZFE$\"3#=Hwuky,)eFE7$$\"3(=`hFL@k[&FE$\"3)=3U'[a]YQFE7$$\"3U!G #3Ki)y.'FE$\"38p25l,[\\>FE7$$\"3R:nT#))f'=iFE$\"3)>!Gj))4J,6FE7$$\"3T6 Z#**)GfCjFE$\"3+'*=ShpfAMF07$$\"3*z,R'[`**[jFE$!3JGAJw&\\@9$F07$$\"32J \"=k?tpG'FE$!3^s;-a)*=w&)F07$$\"3%Q5'f.&\\DA'FE$!3f.%))ym7X3\"FE7$$\"3 @n^%eDmb8'FE$!3)f>Byqn1G\"FE7$$\"3U-9'*p.(f-'FE$!3\">$yo6;qX9FE7$$\"3# 4aSX7QQ*eFE$!3%Rg7\\0[%z:FE7$$\"3NFv*4%f\"Hc&FE$!3Zqcf-Y\\`kgwSFE$!3@FDVEpUt:FE7$$\"3kdV(f? $e[FFE$!3aZWLh()))*o*F07$$\"3F?L\\X)*pV>FE$!3VKh)=%pPb_F07$$\"3NhdY$\\ LO5\"FE$!3%y***y/$3dG$Fhdm7$$\"3?wl)e\"y)zX#F0$\"3;e8H!*[0H[F07$$!38f' 3U9g\">hF0$\"3aadwlF<[**F07$$!3IN5@Zll^9FE$\"3V`Dq1'=gZ\"FE7$$!3[ZbeC) 3hD#FE$\"3!4^Bv>z0!>FE7$$!34&[!fS$*)*3IFE$\"3]@lvBkKWAFE7$$!3)G&)HCD/b p$FE$\"3&>%*GWN?c[#FE7$$!3,W)Q\"yQw-VFE$\"3aqoW%*>01EFE7$$!3,EP$p8S,#[ FE$\"3?ACQ![V5f#FE7$$!3:)Qm)o>\\U]FE$\"3_'3m*oGOHDFE7$$!3K9<5uibR_FE$ \"3)pYU8%>LICFE7$$!3$)G]cGrv5aFE$\"3u*eVk&**R$H#FE7$$!3%yF5LD+db&FE$\" 3p3D#)[AK=@FE7$$!35rL\\*3vTn&FE$\"3a#*=^kL;0>FE7$$!3%y'Gs*\\bhw&FE$\"3 D;(H!RyHa;FE7$$!3<];Q\"4*zJeFE$\"3**[/Q5'3kO\"FE7$$!3(Qe8z;X9(eFE$\"3! yj$zxI[U5FE7$$!3we\"QTr))\\(eFE$\"3#)H![^A^&>HF07$$!3;RNW%>sHy&FE$!3Ln [)oJQ&FE$!3<\"Qv)psT/DFE7$$!3-Cj\"=c(*fv%FE$!3')44= e)***[YFE7$$!3%f46iw#G(Q%FE$!3r6;b:$*e[dFE7$$!3;r+'=)>K**RFE$!3$)=P_^l %R$oFE7$$!37B7')>gb0OFE$!3h0o/7RW!)yFE7$$!38h'H$\\4A>KFE$!3y!)\\>?-)R' ))FE7$$!3hjZ0M0g=DFE$!3%f>#3t\\@b5F,7$$!3%4'\\)exLf)>FE$!3L:D`Er#R<\"F ,7$$!3%))\\8n.tQ!=FE$!3(pUZgJ'p57F,7$$!3d\"yf!3tm&o\"FE$!3!z$G#QIa5B\" F,7$$!3DK[8'=#e^;FE$!33:I.[P*[B\"F,7$$!3F['3N^vWj\"FE$!3f[h$*)=dWB\"F, 7$$!3KGrqg$*RM;FE$!3H(3VFnQ(H7F,7$$!3T**>vSpE^;FE$!3>R8%\\Nd2A\"F,7$$! 3/Z&eJ;'*y*=FE$!3Q*4W/K_%Q6F,7$$!3?+MId3B#R#FE$!3hr&f5=)=2**FE7$$!3)\\ F[\"yPJ4FFE$!3Yf&\\'=nil*)FE7$$!3#3k>d<()p0$FE$!3#QX_F.m$=zFE7$$!3!>76 #\\F\\@MFE$!3SN_G&oR3z'FE7$$!3yPB=H#o\")y$FE$!3<7_MarB5cFE7$$!3JSp\"e+ \"*=9%FE$!3b@d0iCt/WFE7$$!39D)o'Qn`nWFE$!3,lpehio-KFE7$$!36vdi%\\R/v%F E$!3c,f[yX%=.#FE7$$!3wTUY5*Ro(\\FE$!3rS3H4\\d&=*F07$$!3g&H_zrH@@&FE$\" 3#R@l2O+8/\"FE7$$!3ev\"G-E4l4&FE$\"35,6M$o>._#FE7$$!3vi\")QrwU4]FE$\"3 #e&*G'4=P'z#FE7$$!3))\\T%p$*p&)*[FE$\"3)H5]\"3$3p.$FE7$$!3]nd%*3&zQw%F E$\"3XdmfH1VTKFE7$$!31aNu9nX0YFE$\"3%QigEl0(4MFE7$$!3(z]`06*f=UFE$\"3! Qba')o4zj$FE7$$!3&H2(znJ\">u$FE$\"32msa$)p$\\s$FE7$$!3AC**))oUeYDFE$\" 3Pr!QOn:$4NFE7$$!33ca_Tmr&4\"FE$\"3AG1(f5Nn'GFE7$$!3zCK#[N_>1$F0$\"3> \"[Y6fg8V#FE7$$\"3-f\"yetr^1&F0$\"3M\\[u)*f(*[>FE7$$\"3AZ8IgbzE8FE$\"3 k7zi(RtIW\"FE7$$\"3N!4K#zIsQ@FE$\"3`Vk[tI'oP*F07$$\"3L.CVv#4l#HFE$\"3[ V#yJ#>#oc%F07$$\"3)=dXZ;0\\n$FE$\"3Ajk#*e`,1BFhdm7$$\"3*f,wlp.'pVFE$!3 OYGd'\\ksT$F07$$\"3%yySy^9w*\\FE$!3a(3\"*3:MS='F07$$\"3N.2iL(>8d&FE$!3 v(*f')e&=r&zF07$$\"3)Gg:>H<)[gFE$!3bI+*HR=BV)F07$$\"3l/\"*G4i&)[iFE$!3 (**)4VJI#y9)F07$$\"3*f+)Gke.AkFE$!3!odm?6SA](F07$$\"3&)*4h_*eznlFE$!3' o*)Q2%)='*['F07$$\"3s4n*\\vjdo'FE$!3Y%o[:*\\82^F07$$\"3sMJ%e!ovvnFE$!3 S@H*)>L7bLF07$$\"3@gkv$)HyPoFE$!3>?3G\\a3P7F07$$\"3z_'Qp-S?(oFE$\"3iHb 7RoKS7F07$$\"3G)=)pvK\"*yoFE$\"30M>d'z_t1%F07$$\"3R!z31rkH\"oFE$\"3RLx Mvtgr5FE7$$\"3y%\\*3q0gYmFE$\"3`(G)RV#)=d=FE7$$\"3rPpTgY6*Q'FE$\"3@!>* *H.Uau#FE7$$\"3*px%*o**H@0'FE$\"3T]^W:Oa9PFE7$$\"3C,FjK\"G#\\cFE$\"3Ha DhoT_RZFE7$$\"3c&H&FE$\"3s^0%4i:Iz&FE7$$\"3YY<2>^<2ZFE$\"3v;Y@q7 2YoFE7$$\"3Z\">=Ih74?%FE$\"3a=j&=bP!pyFE7$$\"3_IG1Sz[$p$FE$\"3ZbWsb.XK ))FE7$$\"3z%z!pcF<,KFE$\"3v^e(y_Gzq*FE7$$\"3GE/caLf]BFE$\"33#*yBn=806F ,7$$\"33q'4lacOq\"FE$\"3?fiK[kf\"=\"F,7$$\"39uPo7ty\"e\"FE$\"3-Wkx(zQ. >\"F,7$$\"3*z?g=xKtZ\"FE$\"3q[iW?**p%>\"F,7$$\"3O]O))e\"o2R\"FE$\"3IS, :u3h%>\"F,7$$\"3vzc8sZTA8FE$\"3cZBd:0.!>\"F,7$$\"3B87bozVs7FE$\"35Lq1K e%4=\"F,7$$\"3(Q;K;HY3C\"FE$\"3<$*elm'pFE7$$\"37tJL6yG$Q#FE$\"3<#=j2xTtx&FE7$$\"3xvw6t$Q8o#FE$\"3l7+ )Q@KS`%FE7$$\"3>mG8r>)[(HFE$\"3._Kp9Z)QE$FE7$$\"3^LZ2OS]bKFE$\"3=gRcB# **e'>FE7$$\"3n]>u\"3k9]$FE$\"3,4jrY.cwpF07$$\"3k.B\\n$e&)p$FE$!3dV\"G* \\q\\I^F07$$\"3(*zXc7_\"Q$QFE$!3a)[$=^*Q/k\"FE7$$\"33,C(f&z!f*QFE$!3O: vq(Qt9m#FE7$$\"3XI3rn)>b(QFE$!3QZ@A(o(\\cNFE7$$\"3`(3TB2]cw$FE$!3Z&3C% =0y4VFE7$$\"3'39&H$H^=c$FE$!3IxUk<%Q*4\\FE7$$\"3NG7p1'ySU$FE$!3^6RK&H- .:&FE7$$\"3P`%RmC#RiKFE$!3i*[N/7I-N&FE7$$\"3n]iw^O,xIFE$!3s]3&)=-j4bFE 7$$\"3S6)HmuR$oGFE$!3@?*)f$z7(GcFE7$$\"3e9k#f'zb$Q#FE$!3)4`\">1dD[dFE7 $$\"3&pm5-vCY\"=FE$!3N&G/y56kr&FE7$$\"3ZIYFZtmq6FE$!3B_%Q$=j9XbFE7$$\" 3w#)pf9IAJYF0$!3aOp(*\\^W]_FE7$$!3^9a?`[tXHF0$!3P`3%pl!z^[FE7$$!3k*Q\" e\"[^t3\"FE$!3e&G-qsW:P%FE7$$!3+LzxL?&F07$$!33?;IvAQVtFE$!376sw tYq8`F07$$!31&f)Hl#*4XuFE$!3\"\\\"[.6))GueF07$$!3kR!zZ?B%>vFE$!3]aL%=w Rhx'F07$$!3vGG\\?0DmvFE$!3Ok+Yh$>*=!)F07$$!3!fZY,(=l&e(FE$!3#4y].^=%*f *F07$$!3Q#3)plGU'R(FE$!3BZ_D;Jb8>FE7$$!3nbMi_ukFE$!3^9(QCzG40\"F,7$$!3K<4n6WP$>\"FE$!3F#)oUv*)z,6F,7$$!3O+)f?W'*y .\"FE$!3C177?3q06F,7$$!319k5w/ny*)F0$!35t#=a?))e5\"F,7$$!3m^7RLGVPxF0$ !3qR>$=3-B5\"F,7$$!3GJ'4CZk'emF0$!31w@()zT!\\4\"F,7$$!3BrtUHKgWdF0$!39 uZy&HxO3\"F,7$$!3I'30mh,j*\\F0$!3d**)=$\\aio5F,7$$!3\"pD(\\%4COT%F0$!3 xdl]7Rx\\5F,7$$!3Ah^?6=D&*RF0$!3!fSK#4\"pr-\"F,7$$!32CN_fz!>3%F0$!3k,* )3[$o*y()FE7$$!3[bU#oV0e*pF0$!3SJ,=yX1OmFE7$$!3jcc'=GOzA*F0$!3c*eAgg6' y`FE7$$!3d@VKoeGy6FE$!3F;yB;9`NSFE7$$!3kxK%oUP(\\9FE$!36:!)*y$y\")QEFE 7$$!3Gt029*y+s\"FE$!3$>Jx\\.o=A\"FE7$$!3$4Ac)\\$z?(>FE$\"3c@;D$*3Z:=F0 7$$!3!QLK]?S*)=#FE$\"3Ys2^nLKQ:FE7$$!3=$\\Yl9w[N#FE$\"3Lxh!eGTq\"GFE7$ $!3*p;)ePNmbCFE$\"32/@9V'G*))RFE7$$!3y*G$*[yQ\"zCFE$\"3Hf!3*RqtG]FE7$$ !31wMKY-j:CFE$\"3m&o%HvS]:fFE7$$!37V+Mg&4$eAFE$\"3E*pi2$o=9jjEn(FE7$$!3\"G;YY^/xW)F0$\"3GQ(\\h-(31xFE7$$!33 FjL/g'==$F0$\"34VA)GZVMg(FE7$$\"3K\"4uxKZ?,*F0$\"3mnSkGeBOqFE7$$\"3l@O yZiErAFE$\"3+x?.,M=\"4'FE7$$\"3V:ya6'R<)HFE$\"3nu%[8cvU_&FE7$$\"3Sq*GU o#3\"p$FE$\"3Gs-p'oOD#\\FE7$$\"3hkLK^,N&Q%FE$\"3p&zRJ')QyI%FE7$$\"3!oQ )>%G420&FE$\"3@UHIq$FE7$$\"3^A<'o0()>C'FE$\"3%o9,$QjK+EFE7$$\"3>J` =o]BprFE$\"3R:(Hx8v\"pFE7$$\"3\\V) pUql@-(FE$\"3tJK*pE*fCIFE7$$\"3Cxq)z5THb'FE$\"3Cv<$\\%\\D\"p$FE7$$\"3' Q#4FAVM7gFE$\"3K_%RI%*e?U%FE7$$\"31pBEs=m9aFE$\"3Wd-'3<)>$>&FE7$$\"3[x w6\"4!RvZFE$\"3d:u$*)*Q+zfFE7$$\"30z>1[Ac\")FE7$$\" 3s5vsO\\8H@FE$\"3%\\@')y0/Vt)FE7$$\"33@B[CQD;5FE$\"3')z?J[1s0&*FE7$$\" 3tb_TEn'fE\"F0$\"3zeen(em6t*FE7$$!3e'yzZX`iN&Fhdm$\"37'yAPIr;p*FE7$$!3 -\"fDxPu[:#F0$\"3rjfPGd:7'*FE7$$!3'3#e%[cQ_DZWnF0$\"3I,k'*flU*)))FE7$$!3B o(oN$G$>!zF0$\"3'\\2&z1+?*G)FE7$$!3(G,9#GOH#3)F0$\"3j#*)p`H-&\\mFE7$$! 3D,&*zLrUXeF0$\"3hS$pO$\\6=XFE7$$!3'zF.Jr*oZSF0$\"3hgFdt>&\\J$FE7$$!3. ?pSxr?Y>F0$\"34M/`MX3]?FE7$$\"3nJ]a()3J_LFhdm$\"3%)\\zYM$32[(F07$$\"34 &HkhDDvm#F0$!3!\\`[gbWfl&F07$$\"3l92Py4J\"3&F0$!3Y%4'e(>]3'>FE7$$\"3lJ \"\\QvPPC(F0$!32%G8wKA$3LFE7$$\"30WPRpo\"Q+*F0$!3M))yJ+\"ozd%FE7$$\"3N %fj?!=QA5FE$!3:z]?$*H1UdFE7$$\"3j$QoP3!Ry5FE$!3Hn)**=x9gx'FE7$$\"3Sps+ 0&='e5FE$!3]a@N)o!3fwFE7$$\"3#4xzJ=J\"e&*F0$!3?(4=sol\\P)FE7$$\"3&*>8z k^7bwF0$!3ByP?'>$G7*)FE7$$\"3`,!o7.['pjF0$!3(3WkZPU=6*FE7$$\"3o/yuJ]=i [F0$!3sljT\\V'[E*FE7$$\"3J!)R>B0iNJF0$!3+Q'4Ig<9P*FE7$$\"3cN\")4!HNZ> \"F0$!32%4Ld?1>V*FE7$$!3^c4,akd,LF0$!3U[/&4t!)=[X9FE$!3w;u,8mu!*))FE7$$!3VD\"y!p+T)3#FE$! 3du;wHU!4T)FE7$$!32$G#eWPNpFFE$!3M8S3^`y:yFE7$$!3\"*R(=Eep?Z$FE$!3niiE '*3'48(FE-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-%+AXESLABELSG6$Q&theta6\"Q$p hiFedy-%%VIEWG6$%(DEFAULTGFjdy" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}{PARA 13 "" 1 "" {GLPLOT2D 387 387 387 {PLOTDATA 2 "6%-%(ANIMATEG6bt7$-%'CURVESG6%7$7$$\"\"!F-F,7$$\" +rgukM!#7$!+>**z**H!#5-%'COLOURG6&%$RGBG$\"*++++\"!\")F,F,-%*THICKNESS G6#\"\"#-F(6%7$F.7$$\"+?lNRQ!#6$!+:uK#['F4-F66&F8F,F,F9F<7$-F(6%7$F+7$ $\"+.[#yi)F1$!+(3f()*HF4F5F<-F(6%7$FO7$$\"+!oIX'QFF$!+(>je['F4FIF<7$-F (6%7$F+7$$\"+&pEfW\"FF$!+nM^'*HF4F5F<-F(6%7$Fjn7$$\"+[Qc^OFF$!+*yc&*[' F4FIF<7$-F(6%7$F+7$$\"+9qmk>FF$!+$*)fN*HF4F5F<-F(6%7$F[p7$$\"+>c0=LFF$ !+cA%4\\'F4FIF<7$-F(6%7$F+7$$\"+#eYPH#FF$!+e$=7*HF4F5F<-F(6%7$F\\q7$$ \"+>#GY)HFF$!+5k`!\\'F4FIF<7$-F(6%7$F+7$$\"+:`[YBFF$!+m#43*HF4F5F<-F(6 %7$F]r7$$\"+eTiSFFF$!+Pte!\\'F4FIF<7$-F(6%7$F+7$$\"+9f;(4#FF$!+[3m#*HF 4F5F<-F(6%7$F^s7$$\"+DjP>EFF$!+]7F#\\'F4FIF<7$-F(6%7$F+7$$\"+?52)e\"FF $!+pPz&*HF4F5F<-F(6%7$F_t7$$\"+eoZ!f#FF$!+@!eV\\'F4FIF<7$-F(6%7$F+7$$ \"+eSC'>*F1$!+a,f)*HF4F5F<-F(6%7$F`u7$$\"+h7hqDFF$!+YSp%\\'F4FIF<7$-F( 6%7$F+7$$\"+\")G3bAF1$!+U_\"***HF4F5F<-F(6%7$Fav7$$\"+3Em\\CFF$!+Z6%G \\'F4FIF<7$-F(6%7$F+7$$!+r/Z8OF1$!+sBy**HF4F5F<-F(6%7$Fbw7$$\"+lkOC@FF $!+(RW4\\'F4FIF<7$-F(6%7$F+7$$!+![$yDuF1$!+A33**HF4F5F<-F(6%7$Fcx7$$\" +=lfH:FF$!+Pwp\"\\'F4FIF<7$-F(6%7$F+7$$!+DN[%y)F1$!+0Or)*HF4F5F<-F(6%7 $Fdy7$$\"+:#)G)f'F1$!+Z:L&\\'F4FIF<7$-F(6%7$F+7$$!+nb>fzF1$!+,S%*)*HF4 F5F<-F(6%7$Fez7$$!+lW'*GUF1$!+:_u)\\'F4FIF<7$-F(6%7$F+7$$!+]vj\"z&F1$! +(*3W**HF4F5F<-F(6%7$Ff[l7$$!+Kwv#['F4FIF<7$-F(6%7$F+7$$!+!)*z&[9FF$!+_1]'*HF4F5F< -F(6%7$F\\bl7$$!+8$pB'QFF$!+Lt;)['F4FIF<7$-F(6%7$F+7$$!+yfO+>FF$!+l\\( R*HF4F5F<-F(6%7$F]cl7$$!+EGI@LFF$!+-%*3\"\\'F4FIF<7$-F(6%7$F+7$$!+6*\\ d<#FF$!+&y*4#*HF4F5F<-F(6%7$F^dl7$$!+wy%*oFFF$!+eqf\"\\'F4FIF<7$-F(6%7 $F+7$$!+XX8&=#FF$!+&RJ?*HF4F5F<-F(6%7$F_el7$$!+QkU2BFF$!+I+,#\\'F4FIF< 7$-F(6%7$F+7$$!+.8\"z*=FF$!+O0*R*HF4F5F<-F(6%7$F`fl7$$!+7.J%)>FF$!+s)z R\\'F4FIF<7$-F(6%7$F+7$$!+%4H9N\"FF$!+?X&p*HF4F5F<-F(6%7$Fagl7$$!+q0*G y\"FF$!+o&)o'\\'F4FIF<7$-F(6%7$F+7$$!+i$R(HkF1$!+&*3J**HF4F5F<-F(6%7$F bhl7$$!+=&G4j\"FF$!+ai\"z\\'F4FIF<7$-F(6%7$F+7$$\"+G&GdQ*!#8$!+=`)***H F4F5F<-F(6%7$Fcil7$$!+g?yC9FF$!+,\"*o'\\'F4FIF<7$-F(6%7$F+7$$\"+dl@GsF 1$!+)3H\"**HF4F5F<-F(6%7$Fejl7$$!+qG9i5FF$!+cXd%\\'F4FIF<7$-F(6%7$F+7$ $\"+#Gr%R6FF$!+G_$y*HF4F5F<-F(6%7$Ff[m7$$!*g_8u%FF$!+TO6%\\'F4FIF<7$-F (6%7$F+7$$\"+Etf'H\"FF$!+\\n>(*HF4F5F<-F(6%7$Fg\\m7$$\"+Ys'H^$F1$!+a*> f\\'F4FIF<7$-F(6%7$F+7$$\"+w*=T@\"FF$!+&=Uv*HF4F5F<-F(6%7$Fh]m7$$\"+#p d&f8FF$!+n>^(\\'F4FIF<7$-F(6%7$F+7$$\"+@9z9(*F1$!+MmU)*HF4F5F<-F(6%7$F i^m7$$\"+;'=kV#FF$!+3&f`\\'F4FIF<7$-F(6%7$F+7$$\"+_nCZoF1$!+&[=#**HF4F 5F<-F(6%7$Fj_m7$$\"+*Q&*HV$FF$!+8=T)['F4FIF<7$-F(6%7$F+7$$\"+\"fX.u%F1 $!+iai**HF4F5F<-F(6%7$F[am7$$\"+pMn-UFF$!+>xqzkF4FIF<7$-F(6%7$F+7$$\"+ 05X-VF1$!+m9p**HF4F5F<-F(6%7$F\\bm7$$\"+!)*\\nj%FF$!+)R@VZ'F4FIF<7$-F( 6%7$F+7$$\"+#f6Z*eF1$!+<3U**HF4F5F<-F(6%7$F]cm7$$\"+t9U(o%FF$!+[xMvkF4 FIF<7$-F(6%7$F+7$$\"+ztLE#*F1$!+44e)*HF4F5F<-F(6%7$F^dm7$$\"+qH\\vVFF$ !+*\\2:['F4FIF<7$-F(6%7$F+7$$\"+\\\"zEM\"FF$!+[Q*p*HF4F5F<-F(6%7$F_em7 $$\"+bGj%y$FF$!+(ok%)['F4FIF<7$-F(6%7$F+7$$\"+SdqFFF$!+%)4j $*HF4F5F<-F(6%7$Fagm7$$\"+c9u'G#FF$!+GEZ$\\'F4FIF<7$-F(6%7$F+7$$\"+;Ib G>FF$!+@Zz$*HF4F5F<-F(6%7$Fbhm7$$\"+/%=Ej\"FF$!+3'pO\\'F4FIF<7$-F(6%7$ F+7$$\"+0UE;;FF$!+')Hk&*HF4F5F<-F(6%7$Fcim7$$\"+EpWS6FF$!+R&>`\\'F4FIF <7$-F(6%7$F+7$$\"+%3g)[5FF$!+Ff;)*HF4F5F<-F(6%7$Fdjm7$$\"+meug!)F1$!+> <3)\\'F4FIF<7$-F(6%7$F+7$$\"+#=So>$F1$!+l'H)**HF4F5F<-F(6%7$Fe[n7$$\"+ ;%3@n&F1$!+O@u*\\'F4FIF<7$-F(6%7$F+7$$!+6&*4)Q%F1$!+f!z'**HF4F5F<-F(6% 7$Ff\\n7$$\"+N*RaD$F1$!+NV%))\\'F4FIF<7$-F(6%7$F+7$$!+tlB)3\"FF$!+&eD! )*HF4F5F<-F(6%7$Fg]n7$$!),Yd@FF$!+D)*R'\\'F4FIF<7$-F(6%7$F+7$$!+?&o\"> :FF$!+w5:'*HF4F5F<-F(6%7$Fh^n7$$!+#4)e$[&F1$!+HW![\\'F4FIF<7$-F(6%7$F+ 7$$!+)R@yn\"FF$!+=XI&*HF4F5F<-F(6%7$Fi_n7$$!+`WKv7FF$!+wI2&\\'F4FIF<7$ -F(6%7$F+7$$!+s)*ox:FF$!+>'[e*HF4F5F<-F(6%7$Fj`n7$$!+JC_d@FF$!+#Ho`\\' F4FIF<7$-F(6%7$F+7$$!+$=RQH\"FF$!+o'3s*HF4F5F<-F(6%7$F[bn7$$!+ha***3$F F$!+0of#\\'F4FIF<7$-F(6%7$F+7$$!+5#=bT*F1$!+.@_)*HF4F5F<-F(6%7$F\\cn7$ $!+(4m8$RFF$!+P(Gd['F4FIF<7$-F(6%7$F+7$$!+%[ZbW'F1$!+-vI**HF4F5F<-F(6% 7$F]dn7$$!+[+pRXFF$!+tbcxkF4FIF<7$-F(6%7$F+7$$!+?f$3,&F1$!+'\\\"e**HF4 F5F<-F(6%7$F^en7$$!+Ya#z![FF$!+5?)HZ'F4FIF<7$-F(6%7$F+7$$!+G0\\qbF1$!+ $y#[**HF4F5F<-F(6%7$F_fn7$$!+Fo)yo%FF$!+4/-vkF4FIF<7$-F(6%7$F+7$$!+`gq NzF1$!+E-&*)*HF4F5F<-F(6%7$F`gn7$$!+T5s*>%FF$!+4nL#['F4FIF<7$-F(6%7$F+ 7$$!+[*G@8\"FF$!+YI'y*HF4F5F<-F(6%7$Fahn7$$!+95:GMFF$!+,RK!\\'F4FIF<7$ -F(6%7$F+7$$!+3H+c9FF$!+wYY'*HF4F5F<-F(6%7$Fbin7$$!+7!)p/DFF$!+OK*[\\' F4FIF<7$-F(6%7$F+7$$!+6fFU;FF$!+5:]&*HF4F5F<-F(6%7$Fcjn7$$!+r,4w:FF$!+ __\\&\\'F4FIF<7$-F(6%7$F+7$$!+P2l&f\"FF$!+#\\`d*HF4F5F<-F(6%7$Fd[o7$$! +>p@owF1$!+')>x%\\'F4FIF<7$-F(6%7$F+7$$!+8R/v7FF$!+9#*G(*HF4F5F<-F(6%7 $Fe\\o7$$!*Q\\<\\\"FF$!+:zZ&\\'F4FIF<7$-F(6%7$F+7$$!+)R&>jqF1$!+1%o\"* *HF4F5F<-F(6%7$Ff]o7$$\"+&[i/q#F1$!+)H1y\\'F4FIF<7$-F(6%7$F+7$$\"+J(fd ?#Ffil$!+*=*****HF4F5F<-F(6%7$Fg^o7$$\"+ExkYaF1$!+)**3'*\\'F4FIF<7$-F( 6%7$F+7$$\"+b`P*z(F1$!+\"*f)*)*HF4F5F<-F(6%7$Fh_o7$$\"+\\sL!p(F1$!+@e) *)\\'F4FIF<7$-F(6%7$F+7$$\"+,#>!G9FF$!+T$*f'*HF4F5F<-F(6%7$Fi`o7$$\"+d ,aZ5FF$!+HDR'\\'F4FIF<7$-F(6%7$F+7$$\"+TI+`=FF$!+J=F%*HF4F5F<-F(6%7$Fj ao7$$\"+bxJh9FF$!+cE0%\\'F4FIF<7$-F(6%7$F+7$$\"+4HQ&*>FF$!+BnN$*HF4F5F <-F(6%7$F[co7$$\"+BY;T?FF$!+HPN$\\'F4FIF<7$-F(6%7$F+7$$\"+*HyF'=FF$!+x 6@%*HF4F5F<-F(6%7$F\\do7$$\"+oIw`FFF$!+;p2$\\'F4FIF<7$-F(6%7$F+7$$\"+* RSh_\"FF$!+Wc6'*HF4F5F<-F(6%7$F]eo7$$\"+;4R0NFF$!+I[^!\\'F4FIF<7$-F(6% 7$F+7$$\"+o;.+6FF$!+RD)z*HF4F5F<-F(6%7$F^fo7$$\"+9\\'Q;%FF$!+Wma%['F4F IF<7$-F(6%7$F+7$$\"+(*Q[;rF1$!+4e:**HF4F5F<-F(6%7$F_go7$$\"+Pn4$f%FF$! +\")ocxkF4FIF<7$-F(6%7$F+7$$\"+[!>_m%F1$!+Ssj**HF4F5F<-F(6%7$F`ho7$$\" +2ZL)o%FF$!+2:3ukF4FIF<7$-F(6%7$F+7$$\"+To*H?%F1$!+mbq**HF4F5F<-F(6%7$ Faio7$$\"+B\\@,WFF$!+;B*pZ'F4FIF<7$-F(6%7$F+7$$\"+609VcF1$!+-#p%**HF4F 5F<-F(6%7$Fbjo7$$\"+ep7^PFF$!+b2$\\['F4FIF<7$-F(6%7$F+7$$\"+QMd'G)F1$! +F`&))*HF4F5F<-F(6%7$Fc[p7$$\"+&>)QBGFF$!+)[mJ\\'F4FIF<7$-F(6%7$F+7$$ \"+?s(=5\"FF$!+hd(z*HF4F5F<-F(6%7$Fd\\p7$$\"+-o\"Gv\"FF$!+\"Rqt\\'F4FI F<7$-F(6%7$F+7$$\"+A'f?E\"FF$!+nTM(*HF4F5F<-F(6%7$Fe]p7$$\"+Qb[CpF1$!+ F1)o\\'F4FIF<7$-F(6%7$F+7$$\"+US'3@\"FF$!+^`b(*HF4F5F<-F(6%7$Ff^p7$$!* nslC#FF$!+C-h%\\'F4FIF<7$-F(6%7$F+7$$\"+W4y8!*F1$!+dbk)*HF4F5F<-F(6%7$ Fg_p7$$!+;X#p;*F1$!+&R?R\\'F4FIF<7$-F(6%7$F+7$$\"+)>Sn_$F1$!+&p#z**HF4 F5F<-F(6%7$Fh`p7$$!+'R=yO\"FF$!+J9c&\\'F4FIF<7$-F(6%7$F+7$$!+w(*yENF1$ !+*o#z**HF4F5F<-F(6%7$Fiap7$$!+Y=3D;FF$!+a!zu\\'F4FIF<7$-F(6%7$F+7$$!+ KI.)3\"FF$!+Cj-)*HF4F5F<-F(6%7$Fjbp7$$!+'4P.y\"FF$!+k:M(\\'F4FIF<7$-F( 6%7$F+7$$!+d(yVr\"FF$!+/v4&*HF4F5F<-F(6%7$F[dp7$$!+WT1T>FF$!+%4C]\\'F4 FIF<7$-F(6%7$F+7$$!+\"R#e:@FF$!+A7`#*HF4F5F<-F(6%7$F\\ep7$$!+yos'>#FF$ !+;=_#\\'F4FIF<7$-F(6%7$F+7$$!+'oprA#FF$!+O9s\"*HF4F5F<-F(6%7$F]fp7$$! +\"fS**e#FF$!+FM`\"\\'F4FIF<7$-F(6%7$F+7$$!+MGK^?FF$!+u&yH*HF4F5F<-F(6 %7$F^gp7$$!+DKh+JFF$!+[`S\"\\'F4FIF<7$-F(6%7$F+7$$!+c[-b;FF$!+U8V&*HF4 F5F<-F(6%7$F_hp7$$!+.!\\xk$FF$!+_Rv*['F4FIF<7$-F(6%7$F+7$$!+5o-_6FF$!+ Tsy(*HF4F5F<-F(6%7$F`ip7$$!+D3a4TFF$!++$p_['F4FIF<7$-F(6%7$F+7$$!+U3XF nF1$!+&fX#**HF4F5F<-F(6%7$Fajp7$$!+sdXcVFF$!+\"H1)zkF4FIF<7$-F(6%7$F+7 $$!+m5$pH$F1$!+K)=)**HF4F5F<-F(6%7$Fb[q7$$!+#4=iG%FF$!+VRQxkF4FIF<7$-F (6%7$F+7$$!+!f.'z=F1$!+=6%***HF4F5F<-F(6%7$Fc\\q7$$!+W&p+&QFF$!+f(H2[' F4FIF<7$-F(6%7$F+7$$!+;uq)[#F1$!+rn*)**HF4F5F<-F(6%7$Fd]q7$$!+R66mIFF$ !+)**R&)['F4FIF<7$-F(6%7$F+7$$!+8\"e*4XF1$!+')4m**HF4F5F<-F(6%7$Fe^q7$ $!+LqK>?FF$!+;a9'\\'F4FIF<7$-F(6%7$F+7$$!+;+t!)oF1$!+A3@**HF4F5F<-F(6% 7$Ff_q7$$!+CRij%)F1$!+G]<*\\'F4FIF<7$-F(6%7$F+7$$!+`Aw!R)F1$!+cj#))*HF 4F5F<-F(6%7$Fg`q7$$\"+FDOaHF1$!+Kr)p\\'F4FIF<7$-F(6%7$F+7$$!+Y4eB!)F1$ !+Wo#*)*HF4F5F<-F(6%7$Fhaq7$$\"+fItm7FF$!+!e0G\\'F4FIF<7$-F(6%7$F+7$$! +5_rY_F1$!+l6a**HF4F5F<-F(6%7$Fibq7$$\"+!Rv%y>FF$!+E'y0\\'F4FIF<7$-F(6 %7$F+7$$!+$Q#4^FF$!+%)y#Q*H F4F5F<-F(6%7$F]gq7$$\"+2ltPEFF$!+Q))4$\\'F4FIF<7$-F(6%7$F+7$$\"+I$omG# FF$!+_DF\"*HF4F5F<-F(6%7$F^hq7$$\"+(Qj-q#FF$!+r\"G5\\'F4FIF<7$-F(6%7$F +7$$\"+,1IdBFF$!+;Us!*HF4F5F<-F(6%7$F_iq7$$\"+NHNzGFF$!+a[L!\\'F4FIF<7 $-F(6%7$F+7$$\"+2pXIOFF$!+[w9#['F4FIF<7$-F(6%7$F+7$$!+: IZQ7F1$!+OW(***HF4F5F<-F(6%7$Fe_r7$$\"+1C`wIFF$!+z;J&['F4FIF<7$-F(6%7$ F+7$$!+KP=@8F1$!+34(***HF4F5F<-F(6%7$Ff`r7$$\"++Wh)>#FF$!+N=?#\\'F4FIF <7$-F(6%7$F+7$$\"+>oi_BFfil$!+y!*****HF4F5F<-F(6%7$Fgar7$$\"+dv%*z5FF$ !+#R/%)\\'F4FIF<7$-F(6%7$F+7$$\"+j!ozT#F1$!+cD!***HF4F5F<-F(6%7$Fhbr7$ $!+J4FH9F1$!+.6p*\\'F4FIF<7$-F(6%7$F+7$$\"+d()[BSF1$!+!=I(**HF4F5F<-F( 6%7$Ficr7$$!+AIr58FF$!+3a`&\\'F4FIF<7$-F(6%7$F+7$$\"+4l5**RF1$!+TMt**H F4F5F<-F(6%7$Fjdr7$$!+?WH!G#FF$!+5iX*['F4FIF<7$-F(6%7$F+7$$\"+\"oGPu\" F1$!+B$\\***HF4F5F<-F(6%7$F[fr7$$!+Y>qdHFF$!+@q!f['F4FIF<7$-F(6%7$F+7$ $!+*>%>6FF1$!+)[x)**HF4F5F<-F(6%7$F\\gr7$$!+!RK^J$FF$!+(>:m['F4FIF<7$- F(6%7$F+7$$!+PJ>)o)F1$!+e;u)*HF4F5F<-F(6%7$F]hr7$$!+jf7\"R$FF$!+67k*[' F4FIF<7$-F(6%7$F+7$$!+_MX-:FF$!+h`B'*HF4F5F<-F(6%7$F^ir7$$!+'fJlF$FF$! +]it\"\\'F4FIF<7$-F(6%7$F+7$$!+\"Q-o.#FF$!+Tx2$*HF4F5F<-F(6%7$F_jr7$$! +[[C)3$FF$!+a!)\\\"\\'F4FIF<7$-F(6%7$F+7$$!+92k_BFF$!+44w!*HF4F5F<-F(6 %7$F`[s7$$!+vvGNHFF$!+3fF!\\'F4FIF<7$-F(6%7$F+7$$!+=wCxBFF$!+Cjc!*HF4F 5F<-F(6%7$Fa\\s7$$!+10t')GFF$!+'[&>!\\'F4FIF<7$-F(6%7$F+7$$!+I-p-@FF$! +%3AE*HF4F5F<-F(6%7$Fb]s7$$!+7uh^HFF$!+$R#f\"\\'F4FIF<7$-F(6%7$F+7$$!+ 25!ze\"FF$!+qYz&*HF4F5F<-F(6%7$Fc^s7$$!+NWnwIFF$!+%)oi#\\'F4FIF<7$-F(6 %7$F+7$$!+GP;T%*F1$!+RS^)*HF4F5F<-F(6%7$Fd_s7$$!+nfJiJFF$!+5yZ\"\\'F4F IF<7$-F(6%7$F+7$$!+@0.nIF1$!+=K%)**HF4F5F<-F(6%7$Fe`s7$$!+E\"=C4$FF$!+ $fR()['F4FIF<7$-F(6%7$F+7$$\"+_?j'*>F1$!+dN$***HF4F5F<-F(6%7$Ffas7$$!+ **4joFFF$!+GSK(['F4FIF<7$-F(6%7$F+7$$\"+ke'z#\\F1$!+D_f**HF4F5F<-F(6%7 $Fgbs7$$!+*4z\"R@FF$!+e]o*['F4FIF<7$-F(6%7$F+7$$\"+(el*GbF1$!+m/\\**HF 4F5F<-F(6%7$Fhcs7$$!+4fC;7FF$!+qj,&\\'F4FIF<7$-F(6%7$F+7$$\"+XcFbUF1$! +&>)p**HF4F5F<-F(6%7$Fids7$$!*kf'\\zF1$!+?QL*\\'F4FIF<7$-F(6%7$F+7$$\" +()p>t?F1$!+j$G***HF4F5F<-F(6%7$Fjes7$$\"+AB#p8\"FF$!+HOp)\\'F4FIF<7$- F(6%7$F+7$$\"+&ea*==Ffil$!+\\%*****HF4F5F<-F(6%7$F[gs7$$\"+#)>KuAFF$!+ g-s#\\'F4FIF<7$-F(6%7$F+7$$!+;igkKFfil$!+C#)****HF4F5F<-F(6%7$F\\hs7$$ \"+&y*H)=$FF$!+3g9&['F4FIF<7$-F(6%7$F+7$$\"+**psA7F1$!+#3v***HF4F5F<-F (6%7$F]is7$$\"+F$H@y$FF$!+:uy!['F4FIF<7$-F(6%7$F+7$$\"+m\"z$))[F1$!+.< g**HF4F5F<-F(6%7$F^js7$$\"+xUvCSFF$!+*)[p\"['F4FIF<7$-F(6%7$F+7$$\"+N/ /35FF$!+YfI)*HF4F5F<-F(6%7$F_[t7$$\"+?Yd_RFF$!+Ny*e['F4FIF<7$-F(6%7$F+ 7$$\"+'Q0-d\"FF$!+Sz)e*HF4F5F<-F(6%7$F`\\t7$$\"+\"\\Wul$FF$!+I(e'*['F4 FIF<7$-F(6%7$F+7$$\"+^cGV?FF$!+^N.$*HF4F5F<-F(6%7$Fa]t7$$\"+Q1%>E$FF$! +28\"4\\'F4FIF<7$-F(6%7$F+7$$\"+QKY2BFF$!+fG6\"*HF4F5F<-F(6%7$Fb^t7$$ \"+@PX&)GFF$!+zbj!\\'F4FIF<7$-F(6%7$F+7$$\"+EOU'G#FF$!+AWF\"*HF4F5F<-F (6%7$Fc_t7$$\"+LPj5EFF$!+eU7\"\\'F4FIF<7$-F(6%7$F+7$$\"+G;En>FF$!+aGa$ *HF4F5F<-F(6%7$Fd`t7$$\"+6vEhCFF$!+0U>$\\'F4FIF<7$-F(6%7$F+7$$\"+d&GXS \"FF$!+i.r'*HF4F5F<-F(6%7$Feat7$$\"+x'HzR#FF$!+)H+`\\'F4FIF<7$-F(6%7$F +7$$\"+PgBuqF1$!+/e;**HF4F5F<-F(6%7$Ffbt7$$\"+s5(=L#FF$!+:SR&\\'F4FIF< 7$-F(6%7$F+7$$\"+-ZFm7Ffil$!+L(*****HF4F5F<-F(6%7$Fgct7$$\"+4f*H:#FF$! +!G\\M\\'F4FIF<7$-F(6%7$F+7$$!+6y..bF1$!+M_\\**HF4F5F<-F(6%7$Fhdt7$$\" +#)fpjF1$!+_]R'\\'F4FIF<7$-F(6%7$F+7$$!+QmLi')F 1$!+Q\"\\()*HF4F5F<-F(6%7$F[ht7$$!+\"p*RJ!*F1$!+#>Z()\\'F4FIF<7$-F(6%7 $F+7$$!+\"Q3ZH'F1$!+Q&R$**HF4F5F<-F(6%7$F\\it7$$!+'3*4d?FF$!+AnU'\\'F4 FIF<7$-F(6%7$F+7$$!+WNxRRF1$!+#HT(**HF4F5F<-F(6%7$F]jt7$$!+T426JFF$!+' yy\"*['F4FIF<7$-F(6%7$F+7$$!+4h%=t#F1$!+9c()**HF4F5F<-F(6%7$F^[u7$$!+& )pk@RFF$!+iv!3['F4FIF<-%*AXESSTYLEG6#%%NONEG-%(SCALINGG6#%,CONSTRAINED G" 1 2 0 1 10 0 2 9 1 1 1 1.000000 45.000000 45.000000 0 0 "Curve 1" " Curve 2" }}}}{PARA 0 "" 0 "" {TEXT -1 73 "... both eigenvalues negati ve (as expected), to get sqrt(-lambda) real. " }}}{MARK "15" 0 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }