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12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math Bold" -1 5 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Hyperlink" -1 17 "Times" 1 12 0 128 128 1 2 2 1 2 2 2 0 0 0 1 }{CSTYLE "Caption Text" -1 214 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{PSTYLE "" -1 216 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{CSTYLE "" -1 215 "T imes" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }} {SECT 0 {EXCHG {PARA 216 "" 0 "" {TEXT 210 172 "In this Maple file, w e compute the Casimir coefficients of the Lax matrix L associated to t he second element of the Painlev\351 2 hierarchy in relation with the \+ spectral curve" }{TEXT 210 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "restart:\n" }{MPLTEXT 1 0 40 "P1:=x-> Pinfty01+Pinfty11*x+Pinft y21*x^2" }{MPLTEXT 1 0 13 "+Pinfty31*x^3" }{MPLTEXT 1 0 2 ";\n" } {MPLTEXT 1 0 66 "P2:=x-> Pinfty02+Pinfty12*x+Pinfty22*x^2+Pinfty32*x^3 +Pinfty42*x^4" }{MPLTEXT 1 0 13 "+Pinfty52*x^5" }{MPLTEXT 1 0 13 "+Pin fty62*x^6" }{MPLTEXT 1 0 2 ";\n" }{MPLTEXT 1 0 45 "SpectralCurve:=unap ply( y^2-P1(x)*y+P2(x),y);" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I#P1G6\"f *6#I\"xGF$F$6$I)operatorGF$I&arrowGF$F$,*I)Pinfty01GF$\"\"\"*&I)Pinfty 11GF$F-F'F-F-*&I)Pinfty21GF$F-)F'\"\"#F-F-*&I)Pinfty31GF$F-)F'\"\"$F-F -F$F$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I#P2G6\"f*6#I\"xGF$F$6$I)ope ratorGF$I&arrowGF$F$,0I)Pinfty02GF$\"\"\"*&I)Pinfty12GF$F-F'F-F-*&I)Pi nfty22GF$F-)F'\"\"#F-F-*&I)Pinfty32GF$F-)F'\"\"$F-F-*&I)Pinfty42GF$F-) F'\"\"%F-F-*&I)Pinfty52GF$F-)F'\"\"&F-F-*&I)Pinfty62GF$F-)F'\"\"'F-F-F $F$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I.SpectralCurveG6\"f*6#I\"yGF$ F$6$I)operatorGF$I&arrowGF$F$,4*$)F'\"\"#\"\"\"F/*&,**&)I\"xGF$\"\"$F/ I)Pinfty31GF$F/F/*&)F4F.F/I)Pinfty21GF$F/F/*&F4F/I)Pinfty11GF$F/F/I)Pi nfty01GF$F/F/F'F/!\"\"*&I)Pinfty62GF$F/)F4\"\"'F/F/*&I)Pinfty52GF$F/)F 4\"\"&F/F/*&I)Pinfty42GF$F/)F4\"\"%F/F/*&I)Pinfty32GF$F/F3F/F/*&I)Pinf ty22GF$F/F8F/F/*&I)Pinfty12GF$F/F4F/F/I)Pinfty02GF$F/F$F$F$" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "DiaginftySheet1:=" }{MPLTEXT 1 0 13 "-tinfty14*x^3" }{MPLTEXT 1 0 58 "-tinfty13*x^2-tinfty12*x-tin fty11-tinfty10/x+Unknown/x^2;\n" }{MPLTEXT 1 0 17 "DiaginftySheet2:=" }{MPLTEXT 1 0 13 "-tinfty24*x^3" }{MPLTEXT 1 0 59 "-tinfty23*x^2-tinft y22*x-tinfty21-tinfty20/x+Unknown2/x^2;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I0DiaginftySheet1G6\",.*&I)tinfty14GF$\"\"\")I\"xGF$\"\" $F(!\"\"*&I)tinfty13GF$F()F*\"\"#F(F,*&I)tinfty12GF$F(F*F(F,I)tinfty11 GF$F,*&I)tinfty10GF$F(F*F,F,*&I(UnknownGF$F(F/F,F(" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I0DiaginftySheet2G6\",.*&I)tinfty24GF$\"\"\")I\"xGF$\" \"$F(!\"\"*&I)tinfty23GF$F()F*\"\"#F(F,*&I)tinfty22GF$F(F*F(F,I)tinfty 21GF$F,*&I)tinfty20GF$F(F*F,F,*&I)Unknown2GF$F(F/F,F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 216 67 "Expression of P_1 in terms of the diagon al expansion in both sheets" }{TEXT 216 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "series(DiaginftySheet1+DiaginftySheet2-P1(x),x=inf inity);\n" }{MPLTEXT 1 0 32 "Pinfty01:=-(tinfty11+tinfty21);\n" } {MPLTEXT 1 0 32 "Pinfty11:=-(tinfty12+tinfty22);\n" }{MPLTEXT 1 0 32 " Pinfty21:=-(tinfty13+tinfty23);\n" }{MPLTEXT 1 0 32 "Pinfty31:=-(tinft y14+tinfty24);\n" }{MPLTEXT 1 0 79 "CoherenceEquation1:=residue(Diagin ftySheet1+DiaginftySheet2-P1(x),x=infinity);\n" }{MPLTEXT 1 0 20 "tinf ty20:=-tinfty10;" }{MPLTEXT 1 0 1 "\n" }}{PARA 11 "" 1 "" {XPPMATH 20 ",&*&,&I)tinfty10G6\"!\"\"I)tinfty20GF&F'\"\"\"I\"xGF&F'F)*&,&I(Unknow nGF&F)I)Unknown2GF&F)F))F*\"\"#F'F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "> I)Pinfty01G6\",&I)tinfty11GF$!\"\"I)tinfty21GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty11G6\",&I)tinfty12GF$!\"\"I)tinfty22GF$F'" }} {PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty21G6\",&I)tinfty13GF$!\"\"I)tin fty23GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty31G6\",&I)tinfty1 4GF$!\"\"I)tinfty24GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coherence Equation1G6\",&I)tinfty10GF$\"\"\"I)tinfty20GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)tinfty20G6\",$I)tinfty10GF$!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 216 17 "Study at infinity" }{TEXT 216 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "series(SpectralCurve(DiaginftySheet 1),x=infinity,6):\n" }{MPLTEXT 1 0 53 "series(SpectralCurve(DiaginftyS heet2),x=infinity,6):\n" }{MPLTEXT 1 0 59 "residue(x^(-8)*SpectralCurv e(DiaginftySheet1),x=infinity);\n" }{MPLTEXT 1 0 58 "residue(x^(-8)*Sp ectralCurve(DiaginftySheet2),x=infinity);" }{MPLTEXT 1 0 1 "\n" } {MPLTEXT 1 0 69 "EQinfty1:=residue(x^(-7)*SpectralCurve(DiaginftySheet 1),x=infinity);\n" }{MPLTEXT 1 0 68 "EQinfty2:=residue(x^(-7)*Spectral Curve(DiaginftySheet2),x=infinity);" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 69 "EQinfty3:=residue(x^(-6)*SpectralCurve(DiaginftySheet1),x=infini ty);\n" }{MPLTEXT 1 0 68 "EQinfty4:=residue(x^(-6)*SpectralCurve(Diagi nftySheet2),x=infinity);" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 69 "EQinf ty5:=residue(x^(-5)*SpectralCurve(DiaginftySheet1),x=infinity);\n" } {MPLTEXT 1 0 69 "EQinfty6:=residue(x^(-5)*SpectralCurve(DiaginftySheet 2),x=infinity);\n" }{MPLTEXT 1 0 69 "EQinfty7:=residue(x^(-4)*Spectral Curve(DiaginftySheet1),x=infinity);\n" }{MPLTEXT 1 0 69 "EQinfty8:=res idue(x^(-4)*SpectralCurve(DiaginftySheet2),x=infinity);\n" }{MPLTEXT 1 0 69 "EQinfty9:=residue(x^(-3)*SpectralCurve(DiaginftySheet1),x=infi nity);\n" }{MPLTEXT 1 0 70 "EQinfty10:=residue(x^(-3)*SpectralCurve(Di aginftySheet2),x=infinity);\n" }{MPLTEXT 1 0 70 "EQinfty11:=residue(x^ (-2)*SpectralCurve(DiaginftySheet1),x=infinity);\n" }{MPLTEXT 1 0 70 " EQinfty12:=residue(x^(-2)*SpectralCurve(DiaginftySheet2),x=infinity); \n" }{MPLTEXT 1 0 70 "EQinfty13:=residue(x^(-1)*SpectralCurve(Diaginft ySheet1),x=infinity);\n" }{MPLTEXT 1 0 70 "EQinfty14:=residue(x^(-1)*S pectralCurve(DiaginftySheet2),x=infinity);\n" }{MPLTEXT 1 0 1 "\n" }} {PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 " \"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)EQinfty1G6\",(*$)I)tinfty14G F$\"\"#\"\"\"!\"\"*&,&F(F+I)tinfty24GF$F+F*F(F*F+I)Pinfty62GF$F+" }} {PARA 11 "" 1 "" {XPPMATH 20 ">I)EQinfty2G6\",(*$)I)tinfty24GF$\"\"#\" \"\"!\"\"*&,&I)tinfty14GF$F+F(F+F*F(F*F+I)Pinfty62GF$F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)EQinfty3G6\",**(\"\"#\"\"\"I)tinfty14GF$F(I)tinf ty13GF$F(!\"\"*&,&F)F+I)tinfty24GF$F+F(F*F(F+*&,&F*F+I)tinfty23GF$F+F( F)F(F+I)Pinfty52GF$F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)EQinfty4G6\" ,**(\"\"#\"\"\"I)tinfty24GF$F(I)tinfty23GF$F(!\"\"*&,&I)tinfty14GF$F+F )F+F(F*F(F+*&,&I)tinfty13GF$F+F*F+F(F)F(F+I)Pinfty52GF$F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)EQinfty5G6\",.*(\"\"#\"\"\"I)tinfty14GF$F(I)ti nfty12GF$F(!\"\"*$)I)tinfty13GF$F'F(F+*&,&F)F+I)tinfty24GF$F+F(F*F(F+* &,&F.F+I)tinfty23GF$F+F(F.F(F+*&,&F*F+I)tinfty22GF$F+F(F)F(F+I)Pinfty4 2GF$F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)EQinfty6G6\",.*(\"\"#\"\"\" I)tinfty24GF$F(I)tinfty22GF$F(!\"\"*$)I)tinfty23GF$F'F(F+*&,&I)tinfty1 4GF$F+F)F+F(F*F(F+*&,&I)tinfty13GF$F+F.F+F(F.F(F+*&,&I)tinfty12GF$F+F* F+F(F)F(F+I)Pinfty42GF$F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)EQinfty7 G6\",0*(\"\"#\"\"\"I)tinfty14GF$F(I)tinfty11GF$F(!\"\"*(F'F(I)tinfty13 GF$F(I)tinfty12GF$F(F+*&,&F)F+I)tinfty24GF$F+F(F*F(F+*&,&F-F+I)tinfty2 3GF$F+F(F.F(F+*&,&F.F+I)tinfty22GF$F+F(F-F(F+*&,&F*F+I)tinfty21GF$F+F( F)F(F+I)Pinfty32GF$F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)EQinfty8G6\" ,0*(\"\"#\"\"\"I)tinfty24GF$F(I)tinfty21GF$F(!\"\"*(F'F(I)tinfty23GF$F (I)tinfty22GF$F(F+*&,&I)tinfty14GF$F+F)F+F(F*F(F+*&,&I)tinfty13GF$F+F- F+F(F.F(F+*&,&I)tinfty12GF$F+F.F+F(F-F(F+*&,&I)tinfty11GF$F+F*F+F(F)F( F+I)Pinfty32GF$F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)EQinfty9G6\",2*( \"\"#\"\"\"I)tinfty14GF$F(I)tinfty10GF$F(!\"\"*(F'F(I)tinfty13GF$F(I)t infty11GF$F(F+*$)I)tinfty12GF$F'F(F+*&,&F)F+I)tinfty24GF$F+F(F*F(F+*&, &F-F+I)tinfty23GF$F+F(F.F(F+*&,&F1F+I)tinfty22GF$F+F(F1F(F+*&,&F.F+I)t infty21GF$F+F(F-F(F+I)Pinfty22GF$F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "> I*EQinfty10G6\",2*(\"\"#\"\"\"I)tinfty10GF$F(I)tinfty24GF$F(F(*(F'F(I) tinfty23GF$F(I)tinfty21GF$F(!\"\"*$)I)tinfty22GF$F'F(F.*&,&I)tinfty14G F$F.F*F.F(F)F(F(*&,&I)tinfty13GF$F.F,F.F(F-F(F.*&,&I)tinfty12GF$F.F1F. F(F1F(F.*&,&I)tinfty11GF$F.F-F.F(F,F(F.I)Pinfty22GF$F." }}{PARA 11 "" 1 "" {XPPMATH 20 ">I*EQinfty11G6\",2*(\"\"#\"\"\"I)tinfty14GF$F(I(Unkn ownGF$F(F(*(F'F(I)tinfty13GF$F(I)tinfty10GF$F(!\"\"*(F'F(I)tinfty12GF$ F(I)tinfty11GF$F(F.*&,&F)F.I)tinfty24GF$F.F(F*F(F(*&,&F,F.I)tinfty23GF $F.F(F-F(F.*&,&F0F.I)tinfty22GF$F.F(F1F(F.*&,&F1F.I)tinfty21GF$F.F(F0F (F.I)Pinfty12GF$F." }}{PARA 11 "" 1 "" {XPPMATH 20 ">I*EQinfty12G6\",2 *(\"\"#\"\"\"I)tinfty24GF$F(I)Unknown2GF$F(F(*(F'F(I)tinfty10GF$F(I)ti nfty23GF$F(F(*(F'F(I)tinfty22GF$F(I)tinfty21GF$F(!\"\"*&,&I)tinfty14GF $F1F)F1F(F*F(F(*&,&I)tinfty13GF$F1F-F1F(F,F(F(*&,&I)tinfty12GF$F1F/F1F (F0F(F1*&,&I)tinfty11GF$F1F0F1F(F/F(F1I)Pinfty12GF$F1" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I*EQinfty13G6\",0*(\"\"#\"\"\"I)tinfty13GF$F(I(Unkno wnGF$F(F(*(F'F(I)tinfty12GF$F(I)tinfty10GF$F(!\"\"*$)I)tinfty11GF$F'F( F.*&,&F)F.I)tinfty23GF$F.F(F*F(F(*&,&F,F.I)tinfty22GF$F.F(F-F(F.*&,&F1 F.I)tinfty21GF$F.F(F1F(F.I)Pinfty02GF$F." }}{PARA 11 "" 1 "" {XPPMATH 20 ">I*EQinfty14G6\",0*(\"\"#\"\"\"I)tinfty23GF$F(I)Unknown2GF$F(F(*(F 'F(I)tinfty10GF$F(I)tinfty22GF$F(F(*$)I)tinfty21GF$F'F(!\"\"*&,&I)tinf ty13GF$F1F)F1F(F*F(F(*&,&I)tinfty12GF$F1F-F1F(F,F(F(*&,&I)tinfty11GF$F 1F0F1F(F0F(F1I)Pinfty02GF$F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "Pinfty62:=factor(solve(EQinfty1,Pinfty62));\n" }{MPLTEXT 1 0 44 "Pinfty52:=factor(solve(EQinfty3,Pinfty52));\n" }{MPLTEXT 1 0 44 "Pinf ty42:=factor(solve(EQinfty5,Pinfty42));\n" }{MPLTEXT 1 0 44 "Pinfty32: =factor(solve(EQinfty7,Pinfty32));\n" }{MPLTEXT 1 0 43 "Pinfty22:=fact or(solve(EQinfty9,Pinfty22));" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 20 " simplify(EQinfty2);\n" }{MPLTEXT 1 0 20 "simplify(EQinfty4);\n" } {MPLTEXT 1 0 20 "simplify(EQinfty6);\n" }{MPLTEXT 1 0 20 "simplify(EQi nfty8);\n" }{MPLTEXT 1 0 20 "simplify(EQinfty10);" }{MPLTEXT 1 0 1 "\n " }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty62G6\"*&I)tinfty14GF$\"\"\" I)tinfty24GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty52G6\",&*&I) tinfty13GF$\"\"\"I)tinfty24GF$F(F(*&I)tinfty14GF$F(I)tinfty23GF$F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty42G6\",(*&I)tinfty12GF$\"\"\" I)tinfty24GF$F(F(*&I)tinfty13GF$F(I)tinfty23GF$F(F(*&I)tinfty14GF$F(I) tinfty22GF$F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty32G6\",**&I) tinfty11GF$\"\"\"I)tinfty24GF$F(F(*&I)tinfty12GF$F(I)tinfty23GF$F(F(*& I)tinfty13GF$F(I)tinfty22GF$F(F(*&I)tinfty14GF$F(I)tinfty21GF$F(F(" }} {PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty22G6\",,*&I)tinfty10GF$\"\"\"I) tinfty14GF$F(!\"\"*&F'F(I)tinfty24GF$F(F(*&I)tinfty11GF$F(I)tinfty23GF $F(F(*&I)tinfty12GF$F(I)tinfty22GF$F(F(*&I)tinfty13GF$F(I)tinfty21GF$F (F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}} {EXCHG {PARA 0 "" 0 "" {TEXT 215 23 "Summary of coefficients" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "Pinfty01:=Pinfty01;\n" } {MPLTEXT 1 0 20 "Pinfty11:=Pinfty11;\n" }{MPLTEXT 1 0 20 "Pinfty21:=Pi nfty21;\n" }{MPLTEXT 1 0 19 "Pinfty31:=Pinfty31;" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 20 "Pinfty02:=Pinfty02;\n" }{MPLTEXT 1 0 20 "Pinfty12:= Pinfty12;\n" }{MPLTEXT 1 0 20 "Pinfty22:=Pinfty22;\n" }{MPLTEXT 1 0 20 "Pinfty32:=Pinfty32;\n" }{MPLTEXT 1 0 20 "Pinfty42:=Pinfty42;\n" } {MPLTEXT 1 0 20 "Pinfty52:=Pinfty52;\n" }{MPLTEXT 1 0 19 "Pinfty62:=Pi nfty62;" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 12 "P1:=unapply(" } {MPLTEXT 1 0 20 "P1(lambda),lambda);\n" }{MPLTEXT 1 0 12 "P2:=unapply( " }{MPLTEXT 1 0 19 "P2(lambda),lambda);" }{MPLTEXT 1 0 1 "\n" } {MPLTEXT 1 0 1 "\n" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty01G6\",&I )tinfty11GF$!\"\"I)tinfty21GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)P infty11G6\",&I)tinfty12GF$!\"\"I)tinfty22GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty21G6\",&I)tinfty13GF$!\"\"I)tinfty23GF$F'" }} {PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty31G6\",&I)tinfty14GF$!\"\"I)tin fty24GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty02G6\"F#" }} {PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty12G6\"F#" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty22G6\",,*&I)tinfty10GF$\"\"\"I)tinfty14GF$F(!\" \"*&F'F(I)tinfty24GF$F(F(*&I)tinfty11GF$F(I)tinfty23GF$F(F(*&I)tinfty1 2GF$F(I)tinfty22GF$F(F(*&I)tinfty13GF$F(I)tinfty21GF$F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty32G6\",**&I)tinfty11GF$\"\"\"I)tinfty24G F$F(F(*&I)tinfty12GF$F(I)tinfty23GF$F(F(*&I)tinfty13GF$F(I)tinfty22GF$ F(F(*&I)tinfty14GF$F(I)tinfty21GF$F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty42G6\",(*&I)tinfty12GF$\"\"\"I)tinfty24GF$F(F(*&I)tinfty13G F$F(I)tinfty23GF$F(F(*&I)tinfty14GF$F(I)tinfty22GF$F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty52G6\",&*&I)tinfty13GF$\"\"\"I)tinfty24GF$ F(F(*&I)tinfty14GF$F(I)tinfty23GF$F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I)Pinfty62G6\"*&I)tinfty14GF$\"\"\"I)tinfty24GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I#P1G6\"f*6#I'lambdaGF$F$6$I)operatorGF$I&arrowGF$F$ ,,I)tinfty11GF$!\"\"I)tinfty21GF$F-*&,&I)tinfty12GF$F-I)tinfty22GF$F- \"\"\"F'F3F3*&,&I)tinfty13GF$F-I)tinfty23GF$F-F3)F'\"\"#F3F3*&,&I)tinf ty14GF$F-I)tinfty24GF$F-F3)F'\"\"$F3F3F$F$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I#P2G6\"f*6#I'lambdaGF$F$6$I)operatorGF$I&arrowGF$F$,0I) Pinfty02GF$\"\"\"*&I)Pinfty12GF$F-F'F-F-*&,,*&I)tinfty10GF$F-I)tinfty1 4GF$F-!\"\"*&F3F-I)tinfty24GF$F-F-*&I)tinfty11GF$F-I)tinfty23GF$F-F-*& I)tinfty12GF$F-I)tinfty22GF$F-F-*&I)tinfty13GF$F-I)tinfty21GF$F-F-F-)F '\"\"#F-F-*&,**&F9F-F7F-F-*&F " 0 "" {MPLTEXT 1 0 0 "" }}}} {MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }