lie-algebras-and-their-representations

diff --git a/cover.tex b/cover.tex
@@ -8,7 +8,6 @@
 
 % The cover itself
 \thispagestyle{empty}
-\setcounter{page}{0}
 \begin{tikzpicture}[remember picture,overlay]
   %%%%%%%%%%%%%%%%%%%% Background %%%%%%%%%%%%%%%%%%%%%%%%
   \fill[mosgreen] (current page.south west) rectangle (current page.north east);
@@ -65,5 +64,20 @@
 \clearpage
 \null
 \thispagestyle{empty}
-\setcounter{page}{0}
 \clearpage
+
+% Title page
+\clearpage
+\null
+\thispagestyle{empty}
+\vspace*{\stretch{1}} % Some space at the top
+\begin{center}        % Centralize text
+\huge                 % Make the text larger
+{\bfseries\thetitle}
+\par
+\LARGE                % Make the text not that large
+\theauthor
+\par
+\par                  % End the paragraph
+\end{center}
+\vspace{\stretch{3}}  % Space at bottom is three times that at the top

diff --git a/images/by.eps b/images/by.eps
@@ -0,0 +1,2727 @@
+%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(R) 8.0
%%AI8_CreatorVersion: 13.0.1
%%For: (Alex Roberts) ()
%%Title: (by.eps)
%%CreationDate: 3/27/08 4:26 PM
%%BoundingBox: 340 278 461 321
%%HiResBoundingBox: 340.5 278.5 460.5 320.5
%%DocumentProcessColors: Cyan Magenta Yellow Black
%%DocumentSuppliedResources: procset Adobe_level2_AI5 1.2 0
%%+ procset Adobe_ColorImage_AI6 1.3 0
%%+ procset Adobe_Illustrator_AI5 1.3 0
%%+ procset Adobe_cshow 2.0 8
%%+ procset Adobe_shading_AI8 1.0 0
%AI5_FileFormat 4.0
%AI3_ColorUsage: Color
%AI3_IncludePlacedImages
%AI7_ImageSettings: 1
%%CMYKProcessColor: 0.74902 0.678431 0.670588 0.901961 ([Registration])
%%AI6_ColorSeparationSet: 1 1 (AI6 Default Color Separation Set) 
%%+ Options: 1 16 0 1 1 1 0 0 0 0 1 1 1 18 0 0 0 0 0 0 0 0 -1 -1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 2 3 4
%%+ PPD: 1 21 0 0 60 45 2 2 1 0 0 1 0 0 0 0 0 0 0 0 -1 -1 () 
%AI3_Cropmarks: 340.5 278.5 460.5 320.5
%AI3_TemplateBox: 400.5 299.5 400.5 299.5
%AI3_TileBox: 112 -56 688 678
%AI3_DocumentPreview: Macintosh_ColorPic
%AI5_ArtSize: 800 600
%AI5_RulerUnits: 6
%AI5_ArtFlags: 0 0 0 1 0 0 1 0 0
%AI5_TargetResolution: 800
%AI5_NumLayers: 1
%AI8_OpenToView: -381 756 1 1566 923 26 0 0 73 75 0 0
%AI5_OpenViewLayers: 7
%%PageOrigin:0 0
%AI7_GridSettings: 48 8 48 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%AI9_Flatten: 1
%AI12_CMSettings: 00.MS
%AI7_Thumbnail: 128 48 8
%%BeginData: 7956 Hex Bytes
%0000330000660000990000CC0033000033330033660033990033CC0033FF
%0066000066330066660066990066CC0066FF009900009933009966009999
%0099CC0099FF00CC0000CC3300CC6600CC9900CCCC00CCFF00FF3300FF66
%00FF9900FFCC3300003300333300663300993300CC3300FF333300333333
%3333663333993333CC3333FF3366003366333366663366993366CC3366FF
%3399003399333399663399993399CC3399FF33CC0033CC3333CC6633CC99
%33CCCC33CCFF33FF0033FF3333FF6633FF9933FFCC33FFFF660000660033
%6600666600996600CC6600FF6633006633336633666633996633CC6633FF
%6666006666336666666666996666CC6666FF669900669933669966669999
%6699CC6699FF66CC0066CC3366CC6666CC9966CCCC66CCFF66FF0066FF33
%66FF6666FF9966FFCC66FFFF9900009900339900669900999900CC9900FF
%9933009933339933669933999933CC9933FF996600996633996666996699
%9966CC9966FF9999009999339999669999999999CC9999FF99CC0099CC33
%99CC6699CC9999CCCC99CCFF99FF0099FF3399FF6699FF9999FFCC99FFFF
%CC0000CC0033CC0066CC0099CC00CCCC00FFCC3300CC3333CC3366CC3399
%CC33CCCC33FFCC6600CC6633CC6666CC6699CC66CCCC66FFCC9900CC9933
%CC9966CC9999CC99CCCC99FFCCCC00CCCC33CCCC66CCCC99CCCCCCCCCCFF
%CCFF00CCFF33CCFF66CCFF99CCFFCCCCFFFFFF0033FF0066FF0099FF00CC
%FF3300FF3333FF3366FF3399FF33CCFF33FFFF6600FF6633FF6666FF6699
%FF66CCFF66FFFF9900FF9933FF9966FF9999FF99CCFF99FFFFCC00FFCC33
%FFCC66FFCC99FFCCCCFFCCFFFFFF33FFFF66FFFF99FFFFCC110000001100
%000011111111220000002200000022222222440000004400000044444444
%550000005500000055555555770000007700000077777777880000008800
%000088888888AA000000AA000000AAAAAAAABB000000BB000000BBBBBBBB
%DD000000DD000000DDDDDDDDEE000000EE000000EEEEEEEE0000000000FF
%00FF0000FFFFFF0000FF00FFFFFF00FFFFFF
%524C45A8FD7DF827A8F8275258527D5258527D5258527D5258527D525852
%7D5258527D5258527D5258527D5258527D5258527D5258527D5258527D52
%58527D5258527D5258527D5258527D5258527D5258527D5258527D525852
%7D5258527D5258527D5258527D5258527D5258527D5258527D5258527D52
%58527D5258527D5258527D5258527DF8F8F852A87D837DA87D837DA87D83
%7DA87D837DA87D847DA87D837DA87D837DA87D837DA87D837DA87D837DA8
%7D837DA87D837DA87D837DA87D837DA87D837DA87D837DA87D837DA87D83
%7DA87D837DA883A87DA883A87DA87D837DA87D837DA87D837DA87D837DA8
%7D837DA87D837DA87D837DA87D837DA87D837DA87D837D7DF8F8FD127D83
%FD3A7DFD05525858FD297D52F8F852A87D837D837D837D837D837DA87D83
%5258275227272752527D7DA87D837D837D837D837D837D837D837D837D83
%7D837D837D837D837D837D837D837D837D837D837D837D837D837DA87D52
%2727FD05F827277D7DA87D837D837D837D837D837D837D837D837D837D83
%7D837D837D837D837D837D837D837D837D7DF8F8FD0C7D837D52FD0BF827
%2DFD2D7D5227FD0BF8275883FD247D52F8F858837D837D7D7D837D7D7DA8
%5227FD0FF8527DA87D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D
%7D837D7D7D837D7D7D837D7D7D837D7D7DA82DFD04F8527DA8A8A87D52F8
%F8F82752A87D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D
%837D7D7D837D7D7D837D7DF8F8FD0B7D27FD06F82727525227FD07F82758
%83FD267D27F8F8F852FD08FFA827F8F8F85283FD227D52F8F858A87D837D
%837D837D7DFD05F8277DFD07FFA87D27FD04F8277DA87D837D837D837D83
%7D837D837D837D837D837D837D837D837D837D837D837D837D837DA852F8
%F827A8FD04FF7D27A8FD04FF7DF8F8F852A87D837D837D837D837D837D83
%7D837D837D837D837D837D837D837D837D837D837D7DF8F8FD097DFD05F8
%7DFD0CFF7D27F8F8F827FD237D8352F8F8F8A8FD04FF7DF8F8F8A8FD04FF
%7DF8F827FD217D8352F8F852A87D7D7D837D8327F8F8F827FD0FFFA852F8
%F8F8277D837D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D
%837D7D7D837D7D7D27F8F87DFD05FF52F8F8F8A8FD05FF52F8F8527D837D
%7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D83FD047D
%F8F859FD057D8327F8F8F827FD12FF52F8F8F827FD227DF8F827FD07FF27
%2752FD07FFF8F8F8FD217D52F8F852A87D837DA852F8F8F827FD14FF52F8
%F8F8587D837D837D837D837D837D837D837D837D837D837D837D837D837D
%837D837DA827F8F8A8FD05FFA8527D527D52FD06FF7DF8F852A87D837D83
%7D837D837D837D837D837D837D837D837D837D837D837D837D837D7DF8F8
%FD067D27F8F8F8A8FD14FFA827F8F8F8FD207D27F827FD06FFFD06F827FD
%05FFA8F8F852FD207D52F8F858837D837D58F8F8F87DFD16FF7DF8F8F852
%A87D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D83FD047D
%F8F852FD06FFFD06F827FD06FF27F827837D837D7D7D837D7D7D837D7D7D
%837D7D7D837D7D7D837D7D7D837D7D7D837D7DF8F8FD047D8327F8F827FD
%18FF27F8F827FD1E7D52F8F87DFD06FFFD06F827FD06FF52F827FD207D52
%F8F858A87DA87D27F8F87DFD05FF7D5227527DFD05FF7D52277DA8FD04FF
%7DF8F8F87D7D837D837D837D837D837D837D837D837D837D837D837D837D
%837D837D7DF8F87DFD06FF27FD05F852FD06FF52F827837D837D837D837D
%837D837D837D837D837D837D837D837D837D837D837D837D7DF8F8FD047D
%52F8F8F8FD05FF27FD05F827FFFFA8FD06F852FFFFFFA8F8F8F852FD1D7D
%52F8F87DFD06FFFD06F827FD06FF52F827FD1F7D8352F8F852A87DA827F8
%F827FD04FF27F8F8F82727F8F852FFF8F8F82727F8F8F87DFFFFFF27F8F8
%527D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D
%7DF8F87DFD06FF52FD05F87DFD06FF27F827A87D7D7D837D7D7D837D7D7D
%837D7D7D837D7D7D837D7D7D837D7D7D83FD047DF8F8597D7D7D27F8F852
%FFFFFFA8F8F8F87DFFA82727A852F8F827A8FF7DF827A8FFFFFF52F8F827
%83FD1D7D27F852FD07FF52F8F8F87DFD06FFA827F827FD207D52F8F852A8
%7D8327F8F87DFFFFFF7DF8F827FFFFFFA8FFFF27F8F87DFFFFFFA8FD05FF
%7DF8F8277D837D837D837D837D837D837D837D837D837D837D837D837D83
%7D837DA827F8F8FD07FF52F8F8F87DFD06FFA8F8F852A87D837D837D837D
%837D837D837D837D837D837D837D837D837D837D837D837D7DF8F8FD047D
%27F8F87DFFFFFF52F8F852FD06FFF8F8F8A8FD09FF7DF8F8F8FD1E7D52F8
%F852FD06FF52F8F8F87DFD06FF27F8F8FD217D52F8F858837D8327F8F87D
%FFFFFF7DF8F852FD06FF27F8F8A8FD09FF7DF8F8277D837D7D7D837D7D7D
%837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D27F827A8FD05FF52
%F8F8F87DFD05FF7DF8F8527D7D7D837D7D7D837D7D7D837D7D7D837D7D7D
%837D7D7D837D7D7D837D7D7D837D7DF8F8FD047D27F8F852FFFFFF52F8F8
%27FFFFFF7D52FF27F8F87DFFFFFF7D7DFD04FF7DF8F827FD1E7D8352F8F8
%27FD05FF52F8F8F87DFD04FFA8F8F8F852FD217D52F8F858A87DA827F8F8
%52FD04FFF8F8F852A87DF8F8527DF8F8F87DA852F8F87DFFFFFF52F8F852
%7D837D837D837D837D837D837D837D837D837D837D837D837D837D837D83
%7DA827F8F852FD04FF52F8F8F87DFFFFFFA827F8F852A87D837D837D837D
%837D837D837D837D837D837D837D837D837D837D837D837D837D7DF8F8FD
%047D52F8F8F8FD04FF7DFD07F87DFF27FD07F8A8FFFFFF27F8F82D83FD20
%7DF8F8F8277DFFFFFFA8FFA8FFFFFF7DF8F8F827FD227D8352F8F852A87D
%8352F8F8F8A8FD04FF7DFD05F8A8FFFFFF52FD04F827FD05FFF8F8F8FD04
%7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D83
%7D7D27F8F8F827A8A8FFFFFFA87D27F8F8F827A87D7D7D837D7D7D837D7D
%7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D83FD047DF8F859FD04
%7DF8F8F852FD06FF7D7D7DFFFFFFA8FFFFA87DA8A8FD05FF52F8F8F859FD
%237D27FD06F827FD06F852FD257D52F8F852A87D837D52F8F8F8FD18FF27
%F8F827A87D837D837D837D837D837D837D837D837D837D837D837D837D83
%7D837D837D837D837DA85227FD09F8527DA87D837D837D837D837D837D83
%7D837D837D837D837D837D837D837D837D837D837D837D837D7DF8F8FD05
%7D52F8F8F827FD16FF52F8F8F8FD267D837D7D525227272752527D7D83FD
%267D52F8F858837D837DA827F8F8F87DFD14FFA8F8F8F8277D7D7D837D7D
%7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D83
%7D7D7D837D847DA87D847DA87D7D7D837D7D7D837D7D7D837D7D7D837D7D
%7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7DF8F8FD077DFD
%04F87DFD12FFA8FD04F852FD047D837D7D7D837D7D7D837D7D7D837D7D7D
%837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D
%7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D837D7D7D
%837D7D7D837D7D7DA852F8F8527D52587D847D7DFD04F87DFD10FFA8FD04
%F852A87D7D527D5258527D5258527D5258527D5258527D5258527D525852
%7D5258527D5258527D5258527D5258527D5258527D5258527D5258527D52
%58527D5258527D5258527D5258527D5258527D5258527D5258527D525852
%7D5252FD06F8277D7D7D52FD04F852FD0EFF7DFD04F827837D7DFD60F852
%7D837D52FD04F827A8FD0AFFA852FD04F827A87DA827FD61F8587D7D7D52
%FD05F82752A8A8FFA8A87D7D27FD05F8277D7D8352FD63F87D7DA87D7DFD
%09F827FD07F82752A87DA858FD27F852A87DA87D2727A852F8F8527D27FD
%30F8FD057D27FD0EF85258A87D8352FD28F87DFFA8A8FFA8F8A8FFF8F8FF
%FFFD32F87D7D837DA87D522727FD07F827527D7D837DA85227FD28F87DFF
%F8F87DFFF852FF7D7DFF27FD33F8527D837D7D7D83587DFD0552FD077D27
%FD2AF87DFF7D7DFF52F8F8A8FFFF7DFD35F82758A87DA87D847DA87DA87D
%A87D837DA87D7D27FD2BF87DFF7DA8FFFFF8F827FFFF27FD37F827527D83
%7D7D7D837D7D7D837D7D5227FD2DF87DFFF8F852FF52F8F8A8A8FD3AF827
%2752527D587D587D5252FD30F87DFF7D7DA8FF27F8F8FFA8FD75F87DFD04
%A852F8F8F87DA8FDFCF8FD2EF852FD7F27FD7FFFFF
%%EndData
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_level2_AI5 1.2 0
+%%Title: (Adobe Illustrator (R) Version 5.0 Level 2 Emulation)
+%%Version: 1.2 0
+%%CreationDate: (04/10/93) ()
+%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
+userdict /Adobe_level2_AI5 26 dict dup begin
+	put
+	/packedarray where not
+	{
+		userdict begin
+		/packedarray
+		{
+			array astore readonly
+		} bind def
+		/setpacking /pop load def
+		/currentpacking false def
+	 end
+		0
+	} if
+	pop
+	userdict /defaultpacking currentpacking put true setpacking
+	/initialize
+	{
+		Adobe_level2_AI5 begin
+	} bind def
+	/terminate
+	{
+		currentdict Adobe_level2_AI5 eq
+		{
+		 end
+		} if
+	} bind def
+	mark
+	/setcustomcolor where not
+	{
+		/findcmykcustomcolor
+		{
+			(AI8_CMYK_CustomColor)
+			6 packedarray
+		} bind def
+		/findrgbcustomcolor
+		{
+			(AI8_RGB_CustomColor)
+			5 packedarray
+		} bind def
+		/setcustomcolor
+		{
+			exch 
+			aload pop dup
+			(AI8_CMYK_CustomColor) eq
+			{
+				pop pop
+				4
+				{
+					4 index mul
+					4 1 roll
+				} repeat
+				5 -1 roll pop
+				setcmykcolor
+			}
+			{
+				dup (AI8_RGB_CustomColor) eq
+				{
+					pop pop
+					3
+					{
+						1 exch sub
+						3 index mul 
+						1 exch sub
+						3 1 roll
+					} repeat
+					4 -1 roll pop
+					setrgbcolor
+				}
+				{
+					pop
+					4
+					{
+						4 index mul 4 1 roll
+					} repeat
+					5 -1 roll pop
+					setcmykcolor
+				} ifelse
+			} ifelse
+		}
+		def
+	} if
+	/setAIseparationgray
+	{
+		false setoverprint
+		0 setgray
+		/setseparationgray where{
+			pop setseparationgray
+		}{
+			/setcolorspace where{
+				pop
+				[/Separation (All) /DeviceCMYK {dup dup dup}] setcolorspace
+				1 exch sub setcolor
+			}{
+				setgray
+			}ifelse
+		}ifelse
+	} def
+	
+	/gt38? mark {version cvr cvx exec} stopped {cleartomark true} {38 gt exch pop} ifelse def
+	userdict /deviceDPI 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt put
+	userdict /level2?
+	systemdict /languagelevel known dup
+	{
+		pop systemdict /languagelevel get 2 ge
+	} if
+	put
+/level2ScreenFreq
+{
+ begin
+		60
+		HalftoneType 1 eq
+		{
+			pop Frequency
+		} if
+		HalftoneType 2 eq
+		{
+			pop GrayFrequency
+		} if
+		HalftoneType 5 eq
+		{
+			pop Default level2ScreenFreq
+		} if
+ end
+} bind def
+userdict /currentScreenFreq  
+	level2? {currenthalftone level2ScreenFreq} {currentscreen pop pop} ifelse put
+level2? not
+	{
+		/setcmykcolor where not
+		{
+			/setcmykcolor
+			{
+				exch .11 mul add exch .59 mul add exch .3 mul add
+				1 exch sub setgray
+			} def
+		} if
+		/currentcmykcolor where not
+		{
+			/currentcmykcolor
+			{
+				0 0 0 1 currentgray sub
+			} def
+		} if
+		/setoverprint where not
+		{
+			/setoverprint /pop load def
+		} if
+		/selectfont where not
+		{
+			/selectfont
+			{
+				exch findfont exch
+				dup type /arraytype eq
+				{
+					makefont
+				}
+				{
+					scalefont
+				} ifelse
+				setfont
+			} bind def
+		} if
+		/cshow where not
+		{
+			/cshow
+			{
+				[
+				0 0 5 -1 roll aload pop
+				] cvx bind forall
+			} bind def
+		} if
+	} if
+	cleartomark
+	/anyColor?
+	{
+		add add add 0 ne
+	} bind def
+	/testColor
+	{
+		gsave
+		setcmykcolor currentcmykcolor
+		grestore
+	} bind def
+	/testCMYKColorThrough
+	{
+		testColor anyColor?
+	} bind def
+	userdict /composite?
+	1 0 0 0 testCMYKColorThrough
+	0 1 0 0 testCMYKColorThrough
+	0 0 1 0 testCMYKColorThrough
+	0 0 0 1 testCMYKColorThrough
+	and and and
+	put
+	composite? not
+	{
+		userdict begin
+		gsave
+		/cyan? 1 0 0 0 testCMYKColorThrough def
+		/magenta? 0 1 0 0 testCMYKColorThrough def
+		/yellow? 0 0 1 0 testCMYKColorThrough def
+		/black? 0 0 0 1 testCMYKColorThrough def
+		grestore
+		/isCMYKSep? cyan? magenta? yellow? black? or or or def
+		/customColor? isCMYKSep? not def
+	 end
+	} if
+ end defaultpacking setpacking
+%%EndResource
+%%BeginProcSet: Adobe_ColorImage_AI6 1.3 0
+userdict /Adobe_ColorImage_AI6 known not
+{
+	userdict /Adobe_ColorImage_AI6 53 dict put 
+} if
+userdict /Adobe_ColorImage_AI6 get begin
+/initialize { 
+	Adobe_ColorImage_AI6 begin
+	Adobe_ColorImage_AI6 {
+		dup type /arraytype eq {
+			dup xcheck {
+				bind
+			} if
+		} if
+		pop pop
+	} forall
+} def
+/terminate { end } def
+currentdict /Adobe_ColorImage_AI6_Vars known not {
+	/Adobe_ColorImage_AI6_Vars 41 dict def
+} if
+Adobe_ColorImage_AI6_Vars begin
+	/plateindex -1 def
+	/_newproc null def
+	/_proc1 null def
+	/_proc2 null def
+	/sourcearray 4 array def
+	/_ptispace null def
+	/_ptiname null def
+	/_pti0 0 def
+	/_pti1 0 def
+	/_ptiproc null def
+	/_ptiscale 0 def
+	/_pticomps 0 def
+	/_ptibuf 0 string def
+	/_gtigray 0 def
+	/_cticmyk null def
+	/_rtirgb null def
+	/XIEnable true def
+	/XIType 0 def
+	/XIEncoding 0 def
+	/XICompression 0 def
+	/XIChannelCount 0 def
+	/XIBitsPerPixel 0 def
+	/XIImageHeight 0 def
+	/XIImageWidth 0 def
+	/XIImageMatrix null def
+	/XIRowBytes 0 def
+	/XIFile null def
+	/XIBuffer1 null def
+	/XIBuffer2 null def
+	/XIBuffer3 null def
+	/XIDataProc null def
+	/XIColorSpace /DeviceGray def
+	/XIColorValues 0 def
+	/XIPlateList false def
+end
+/ci6colorimage /colorimage where {/colorimage get}{null} ifelse def
+/ci6image systemdict /image get def
+/ci6curtransfer systemdict /currenttransfer get def
+/ci6curoverprint /currentoverprint where {/currentoverprint get}{{_of}} ifelse def
+/ci6foureq {
+	4 index ne {
+		pop pop pop false
+	}{
+		4 index ne {
+			pop pop false
+		}{
+			4 index ne {
+				pop false
+			}{
+				4 index eq
+			} ifelse
+		} ifelse
+	} ifelse
+} def
+/ci6testplate {
+	Adobe_ColorImage_AI6_Vars begin
+		/plateindex -1 def
+		/setcmykcolor where {
+			pop
+			gsave
+			1 0 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
+			0 1 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
+			0 0 1 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
+			0 0 0 1 setcmykcolor systemdict /currentgray get exec 1 exch sub
+			grestore
+			1 0 0 0 ci6foureq { 
+				/plateindex 0 def
+			}{
+				0 1 0 0 ci6foureq { 
+					/plateindex 1 def
+				}{
+					0 0 1 0 ci6foureq {
+						/plateindex 2 def
+					}{
+						0 0 0 1 ci6foureq { 
+							/plateindex 3 def
+						}{
+							0 0 0 0 ci6foureq {
+								/plateindex 5 def
+							} if
+						} ifelse
+					} ifelse
+				} ifelse
+			} ifelse
+			pop pop pop pop
+		} if
+		plateindex
+ end
+} def
+/ci6concatprocs {
+	/packedarray where {
+		pop dup type /packedarraytype eq 2 index type
+		/packedarraytype eq or
+	}{
+		false
+	} ifelse
+	{
+		/_proc2 exch cvlit def
+		/_proc1 exch cvlit def
+		_proc1 aload pop
+		_proc2 aload pop
+		_proc1 length
+		_proc2 length add
+		packedarray cvx
+	}{
+		/_proc2 exch cvlit def
+		/_proc1 exch cvlit def
+		/_newproc _proc1 length _proc2 length add array def
+		_newproc 0 _proc1 putinterval
+		_newproc _proc1 length _proc2 putinterval
+		_newproc cvx
+	} ifelse
+} def
+/ci6istint {
+	type /arraytype eq 
+} def
+/ci6isspot {
+	dup type /arraytype eq {
+		dup length 1 sub get /Separation eq
+	}{
+		pop false
+	} ifelse
+} def
+/ci6spotname {
+	dup ci6isspot {dup length 2 sub get}{pop ()} ifelse
+} def
+/ci6altspace {
+	aload pop pop pop ci6colormake
+} def
+/ci6numcomps {
+	dup /DeviceGray eq {
+		pop 1
+	}{
+		dup /DeviceRGB eq {
+			pop 3
+		}{
+			/DeviceCMYK eq {
+				4
+			}{
+				1
+			} ifelse
+		} ifelse
+	} ifelse
+} def
+/ci6marksplate {
+	dup /DeviceGray eq {
+		pop plateindex 3 eq
+	}{
+		dup /DeviceRGB eq {
+			pop plateindex 5 ne
+		}{
+			dup /DeviceCMYK eq {
+				pop plateindex 5 ne
+			}{
+				dup ci6isspot {
+					/findcmykcustomcolor where {
+						pop
+						dup length 2 sub get
+						0.1 0.1 0.1 0.1 5 -1 roll
+						findcmykcustomcolor 1 setcustomcolor
+						systemdict /currentgray get exec
+						1 ne
+					}{
+						pop plateindex 5 ne
+					} ifelse
+				}{
+					pop plateindex 5 ne
+				} ifelse
+			} ifelse
+		} ifelse
+	} ifelse
+} def
+/ci6colormake {
+	dup ci6numcomps
+	exch 1 index 2 add 1 roll
+	dup 1 eq {pop}{array astore} ifelse
+	exch
+} def
+/ci6colorexpand {
+	dup ci6spotname exch
+	dup ci6istint {
+		ci6altspace
+		exch 4 1 roll
+	}{
+		1 3 1 roll
+	} ifelse
+} def
+/ci6colortint {
+	dup /DeviceGray eq {
+		3 1 roll 1 exch sub mul 1 exch sub exch
+	}{
+		dup /DeviceRGB eq {
+			3 1 roll {1 exch sub 1 index mul 1 exch sub exch} forall pop 3 array astore exch
+		}{
+			dup /DeviceCMYK eq {
+				3 1 roll {1 index mul exch} forall pop 4 array astore exch
+			}{
+				3 1 roll mul exch
+			} ifelse
+		} ifelse
+	} ifelse
+} def
+/ci6colortocmyk {
+	dup /DeviceGray eq {
+		pop 1 exch sub 0 0 0 4 -1 roll 4 array astore
+	}{
+		dup /DeviceRGB eq {
+			pop aload pop _rgbtocmyk 4 array astore
+		}{
+			dup /DeviceCMYK eq {
+				pop
+			}{
+				ci6altspace ci6colortint ci6colortocmyk
+			} ifelse
+		} ifelse
+	} ifelse
+} def
+/ci6makeimagedict {
+	7 dict begin
+		/ImageType 1 def
+		/Decode exch def
+		/DataSource exch def
+		/ImageMatrix exch def
+		/BitsPerComponent exch def
+		/Height exch def
+		/Width exch def
+	currentdict end
+} def
+/ci6stringinvert {
+	0 1 2 index length 1 sub {
+		dup 2 index exch get 255 exch sub 2 index 3 1 roll put
+	} for
+} def
+/ci6stringknockout {
+	0 1 2 index length 1 sub {
+		255 2 index 3 1 roll put
+	} for
+} def
+/ci6stringapply {
+	0 1 4 index length 1 sub {
+		dup
+		4 index exch get
+		3 index 3 1 roll
+		3 index exec
+	} for
+	pop exch pop
+} def
+/ci6walkrgbstring {
+	0 3 index
+	dup length 1 sub 0 3 3 -1 roll {
+		3 getinterval {} forall
+		5 index exec
+		3 index
+	} for
+	
+	 5 {pop} repeat
+} def
+/ci6walkcmykstring
+{
+	0 3 index
+	dup length 1 sub 0 4 3 -1 roll {
+		4 getinterval {} forall
+		
+		6 index exec
+		
+		3 index
+		
+	} for
+	
+	5 { pop } repeat
+	
+} def
+/ci6putrgbtograystr
+{
+	.11 mul exch
+	
+	.59 mul add exch
+	
+	.3 mul add
+	
+	cvi 3 copy put
+	
+	pop 1 add
+} def
+/ci6putcmyktograystr
+{
+	exch .11 mul add
+	
+	exch .59 mul add
+	
+	exch .3 mul add
+	
+	dup 255 gt { pop 255 } if
+	
+	255 exch sub cvi 3 copy put
+	
+	pop 1 add
+} def
+/ci6rgbtograyproc {	
+	Adobe_ColorImage_AI6_Vars begin 
+		sourcearray 0 get exec
+		XIBuffer3
+		dup 3 1 roll 
+		
+		/ci6putrgbtograystr load exch
+		ci6walkrgbstring
+ end
+} def
+/ci6cmyktograyproc {	
+	Adobe_ColorImage_AI6_Vars begin
+		sourcearray 0 get exec
+		XIBuffer3
+		dup 3 1 roll 
+		
+		/ci6putcmyktograystr load exch
+		ci6walkcmykstring
+ end
+} def
+/ci6separatecmykproc {	
+	Adobe_ColorImage_AI6_Vars begin
+		sourcearray 0 get exec
+		
+		XIBuffer3
+		
+		0 2 index
+		
+		plateindex 4 2 index length 1 sub {
+			get 255 exch sub
+			
+			3 copy put pop 1 add
+			
+			2 index
+		} for
+		pop pop exch pop
+ end
+} def
+	
+/ci6compositeimage {
+	dup 1 eq {
+		pop pop image
+	}{
+		/ci6colorimage load null ne {
+			ci6colorimage
+		}{
+			3 1 roll pop
+			sourcearray 0 3 -1 roll put
+			3 eq {/ci6rgbtograyproc}{/ci6cmyktograyproc} ifelse load
+			image
+		} ifelse
+	} ifelse
+} def
+/ci6knockoutimage {
+	gsave
+	0 ci6curtransfer exec 1 ci6curtransfer exec
+	eq {
+		0 ci6curtransfer exec 0.5 lt
+	}{
+		0 ci6curtransfer exec 1 ci6curtransfer exec gt
+	} ifelse
+	{{pop 0}}{{pop 1}} ifelse
+	systemdict /settransfer get exec
+	ci6compositeimage
+	grestore
+} def
+/ci6drawimage {
+	ci6testplate -1 eq {
+		pop ci6compositeimage
+	}{
+		dup type /arraytype eq {
+			dup length plateindex gt {plateindex get}{pop false} ifelse
+		}{
+			{
+				true
+			}{
+				dup 1 eq {plateindex 3 eq}{plateindex 3 le} ifelse
+			} ifelse
+		} ifelse
+		{
+			dup 1 eq {
+				pop pop ci6image
+			}{
+				dup 3 eq {
+					ci6compositeimage
+				}{
+					pop pop
+					sourcearray 0 3 -1 roll put
+					/ci6separatecmykproc load
+					ci6image
+				} ifelse
+			} ifelse
+		}{
+			ci6curoverprint {
+				7 {pop} repeat
+			}{
+				ci6knockoutimage
+			} ifelse
+		} ifelse
+	} ifelse
+} def
+/ci6proctintimage {
+	/_ptispace exch store /_ptiname exch store /_pti1 exch store /_pti0 exch store /_ptiproc exch store
+	/_pticomps _ptispace ci6numcomps store
+	/_ptiscale _pti1 _pti0 sub store
+	level2? {
+		_ptiname length 0 gt version cvr 2012 ge and {
+			[/Separation _ptiname _ptispace {_ptiproc}] setcolorspace
+			[_pti0 _pti1] ci6makeimagedict ci6image
+		}{
+			[/Indexed _ptispace 255 {255 div _ptiscale mul _pti0 add _ptiproc}] setcolorspace
+			[0 255] ci6makeimagedict ci6image
+		} ifelse
+	}{
+		_pticomps 1 eq {
+			{
+				dup
+				{
+					255 div _ptiscale mul _pti0 add _ptiproc 255 mul cvi put
+				} ci6stringapply
+			} ci6concatprocs ci6image
+		}{
+			{
+				dup length _pticomps mul dup _ptibuf length ne {/_ptibuf exch string store}{pop} ifelse
+				_ptibuf {
+					exch _pticomps mul exch 255 div _ptiscale mul _pti0 add _ptiproc
+					_pticomps 2 add -2 roll
+					_pticomps 1 sub -1 0 {
+						1 index add 2 index exch
+						5 -1 roll
+						255 mul cvi put
+					} for
+					pop pop
+				} ci6stringapply
+			} ci6concatprocs false _pticomps
+			/ci6colorimage load null eq {7 {pop} repeat}{ci6colorimage} ifelse
+		} ifelse
+	} ifelse
+} def
+/ci6graytintimage {
+	/_gtigray 5 -1 roll store
+	{1 _gtigray sub mul 1 exch sub} 4 1 roll
+	/DeviceGray ci6proctintimage
+} def
+/ci6cmyktintimage {
+	/_cticmyk 5 -1 roll store
+	{_cticmyk {1 index mul exch} forall pop} 4 1 roll
+	/DeviceCMYK ci6proctintimage
+} def
+/ci6rgbtintimage {
+	/_rtirgb 5 -1 roll store
+	{_rtirgb {1 exch sub 1 index mul 1 exch sub exch} forall pop} 4 1 roll
+	/DeviceRGB ci6proctintimage
+} def
+/ci6tintimage {
+	ci6testplate -1 eq {
+		ci6colorexpand
+		3 -1 roll 5 -1 roll {0}{0 exch} ifelse 4 2 roll
+		dup /DeviceGray eq {
+			pop ci6graytintimage
+		}{
+			dup /DeviceRGB eq {
+				pop ci6rgbtintimage
+			}{
+				pop ci6cmyktintimage
+			} ifelse
+		} ifelse
+	}{
+		dup ci6marksplate {
+			plateindex 5 lt {
+				ci6colortocmyk plateindex get
+				dup 0 eq ci6curoverprint and {
+					7 {pop} repeat
+				}{
+					1 exch sub
+					exch {1 0}{0 1} ifelse () ci6graytintimage
+				} ifelse
+			}{
+				pop exch {0}{0 exch} ifelse 0 3 1 roll () ci6graytintimage
+			} ifelse
+		}{
+			ci6curoverprint {
+				8 {pop} repeat
+			}{
+				pop pop pop
+				{pop 1} 0 1 () /DeviceGray ci6proctintimage
+			} ifelse
+		} ifelse
+	} ifelse
+} def
+/XINullImage {
+} def
+/XIImageMask {
+	XIImageWidth XIImageHeight false
+	[XIImageWidth 0 0 XIImageHeight neg 0 0]
+	/XIDataProc load
+	imagemask
+} def
+/XIImageTint {
+	XIImageWidth XIImageHeight XIBitsPerPixel
+	[XIImageWidth 0 0 XIImageHeight neg 0 0]
+	/XIDataProc load
+	XIType 3 eq XIColorValues XIColorSpace ci6tintimage
+} def
+/XIImage {
+	XIImageWidth XIImageHeight XIBitsPerPixel
+	[XIImageWidth 0 0 XIImageHeight neg 0 0]
+	/XIDataProc load
+	false XIChannelCount XIPlateList ci6drawimage
+} def
+/XG {
+	pop pop
+} def
+/XF {
+	13 {pop} repeat
+} def
+/Xh {
+	Adobe_ColorImage_AI6_Vars begin
+		gsave
+		/XIType exch def
+		/XIImageHeight exch def
+		/XIImageWidth exch def
+		/XIImageMatrix exch def
+		0 0 moveto
+		XIImageMatrix concat
+		XIImageWidth XIImageHeight scale
+		
+		/_lp /null ddef
+		_fc
+		/_lp /imagemask ddef
+ end
+} def
+/XH {
+	Adobe_ColorImage_AI6_Vars begin
+		grestore
+ end
+} def
+/XIEnable {
+	Adobe_ColorImage_AI6_Vars /XIEnable 3 -1 roll put
+} def
+/XC {
+	Adobe_ColorImage_AI6_Vars begin
+		ci6colormake
+		/XIColorSpace exch def
+		/XIColorValues exch def
+ end
+} def
+/XIPlates {
+	Adobe_ColorImage_AI6_Vars begin
+		/XIPlateList exch def
+ end
+} def
+/XI
+{
+	Adobe_ColorImage_AI6_Vars begin
+		gsave
+		/XIType exch def
+		cvi dup
+		256 idiv /XICompression exch store
+		256 mod /XIEncoding exch store
+		pop pop
+		/XIChannelCount exch def
+		/XIBitsPerPixel exch def
+		/XIImageHeight exch def
+		/XIImageWidth exch def
+		pop pop pop pop
+		/XIImageMatrix exch def
+		XIBitsPerPixel 1 eq {
+			XIImageWidth 8 div ceiling cvi
+		}{
+			XIImageWidth XIChannelCount mul
+		} ifelse
+		/XIRowBytes exch def
+		XIEnable {
+			/XIBuffer3 XIImageWidth string def
+			XICompression 0 eq {
+				/XIBuffer1 XIRowBytes string def
+				XIEncoding 0 eq {
+					{currentfile XIBuffer1 readhexstring pop}
+				}{
+					{currentfile XIBuffer1 readstring pop}
+				} ifelse
+			}{
+				/XIBuffer1 256 string def
+				/XIBuffer2 XIRowBytes string def
+				{currentfile XIBuffer1 readline pop (%) anchorsearch {pop} if}
+				/ASCII85Decode filter /DCTDecode filter
+				/XIFile exch def
+				{XIFile XIBuffer2 readstring pop}
+			} ifelse
+			/XIDataProc exch def
+			
+			XIType 1 ne {
+				0 setgray
+			} if
+			XIType 1 eq {
+				XIImageMask
+			}{
+				XIType 2 eq XIType 3 eq or {
+					XIImageTint
+				}{
+					XIImage
+				} ifelse
+			} ifelse
+		}{
+			XINullImage
+		} ifelse
+		/XIPlateList false def
+		grestore
+ end
+} def
+end
+%%EndProcSet
+%%BeginResource: procset Adobe_Illustrator_AI5 1.3 0
+%%Title: (Adobe Illustrator (R) Version 8.0 Full Prolog)
+%%Version: 1.3 0
+%%CreationDate: (3/7/1994) ()
+%%Copyright: ((C) 1987-1998 Adobe Systems Incorporated All Rights Reserved)
+currentpacking true setpacking
+userdict /Adobe_Illustrator_AI5_vars 112 dict dup begin
+put
+/_?cmyk false def
+/_eo false def
+/_lp /none def
+/_pf
+{
+} def
+/_ps
+{
+} def
+/_psf
+{
+} def
+/_pss
+{
+} def
+/_pjsf
+{
+} def
+/_pjss
+{
+} def
+/_pola 0 def
+/_doClip 0 def
+/cf currentflat def
+/_lineorientation 0 def
+/_charorientation 0 def
+/_yokoorientation 0 def
+/_tm matrix def
+/_renderStart
+[
+/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0
+] def
+/_renderEnd
+[
+null null null null /i1 /i1 /i1 /i1
+] def
+/_render -1 def
+/_shift [0 0] def
+/_ax 0 def
+/_ay 0 def
+/_cx 0 def
+/_cy 0 def
+/_leading
+[
+0 0
+] def
+/_ctm matrix def
+/_mtx matrix def
+/_sp 16#020 def
+/_hyphen (-) def
+/_fontSize 0 def
+/_fontAscent 0 def
+/_fontDescent 0 def
+/_fontHeight 0 def
+/_fontRotateAdjust 0 def
+/Ss 256 string def
+Ss 0 (fonts/) putinterval
+/_cnt 0 def
+/_scale [1 1] def
+/_nativeEncoding 0 def
+/_useNativeEncoding 0 def
+/_tempEncode 0 def
+/_pntr 0 def
+/_tDict 2 dict def
+/_hfname 100 string def
+/_hffound false def
+/Tx
+{
+} def
+/Tj
+{
+} def
+/CRender
+{
+} def
+/_AI3_savepage
+{
+} def
+/_gf null def
+/_cf 4 array def
+/_rgbf 3 array def
+/_if null def
+/_of false def
+/_fc
+{
+} def
+/_gs null def
+/_cs 4 array def
+/_rgbs 3 array def
+/_is null def
+/_os false def
+/_sc
+{
+} def
+/_pd 1 dict def
+/_ed 15 dict def
+/_pm matrix def
+/_fm null def
+/_fd null def
+/_fdd null def
+/_sm null def
+/_sd null def
+/_sdd null def
+/_i null def
+/_lobyte 0 def
+/_hibyte 0 def
+/_cproc null def
+/_cscript 0 def
+/_hvax 0 def
+/_hvay 0 def
+/_hvwb 0 def
+/_hvcx 0 def
+/_hvcy 0 def
+/_bitfont null def
+/_bitlobyte 0 def
+/_bithibyte 0 def
+/_bitkey null def
+/_bitdata null def
+/_bitindex 0 def
+/discardSave null def
+/buffer 256 string def
+/beginString null def
+/endString null def
+/endStringLength null def
+/layerCnt 1 def
+/layerCount 1 def
+/perCent (%) 0 get def
+/perCentSeen? false def
+/newBuff null def
+/newBuffButFirst null def
+/newBuffLast null def
+/clipForward? false def
+end
+userdict /Adobe_Illustrator_AI5 known not {
+	userdict /Adobe_Illustrator_AI5 100 dict put
+} if
+userdict /Adobe_Illustrator_AI5 get begin
+/initialize
+{
+	Adobe_Illustrator_AI5 dup begin
+	Adobe_Illustrator_AI5_vars begin
+	/_aicmykps where {pop /_?cmyk _aicmykps def}if
+	discardDict
+	{
+		bind pop pop
+	} forall
+	dup /nc get begin
+	{
+		dup xcheck 1 index type /operatortype ne and
+		{
+			bind
+		} if
+		pop pop
+	} forall
+ end
+	newpath
+} def
+/terminate
+{
+ end
+ end
+} def
+/_
+null def
+/ddef
+{
+	Adobe_Illustrator_AI5_vars 3 1 roll put
+} def
+/xput
+{
+	dup load dup length exch maxlength eq
+	{
+		dup dup load dup
+		length 2 mul dict copy def
+	} if
+	load begin
+	def
+ end
+} def
+/npop
+{
+	{
+		pop
+	} repeat
+} def
+/hswj
+{
+	dup stringwidth 3 2 roll
+	{
+		_hvwb eq { exch _hvcx add exch _hvcy add } if
+		exch _hvax add exch _hvay add
+	} cforall
+} def
+/vswj
+{
+	0 0 3 -1 roll
+	{
+		dup 255 le
+		_charorientation 1 eq
+		and
+		{
+			dup cstring stringwidth 5 2 roll
+			_hvwb eq { exch _hvcy sub exch _hvcx sub } if
+			exch _hvay sub exch _hvax sub
+			4 -1 roll sub exch
+			3 -1 roll sub exch
+		}
+		{
+			_hvwb eq { exch _hvcy sub exch _hvcx sub } if
+			exch _hvay sub exch _hvax sub
+			_fontHeight sub
+		} ifelse
+	} cforall
+} def
+/swj
+{
+	6 1 roll
+	/_hvay exch ddef
+	/_hvax exch ddef
+	/_hvwb exch ddef
+	/_hvcy exch ddef
+	/_hvcx exch ddef
+	_lineorientation 0 eq { hswj } { vswj } ifelse
+} def
+/sw
+{
+	0 0 0 6 3 roll swj
+} def
+/vjss
+{
+	4 1 roll
+	{
+		dup cstring
+		dup length 1 eq
+		_charorientation 1 eq
+		and
+		{
+			-90 rotate
+			currentpoint
+			_fontRotateAdjust add
+			moveto
+			gsave
+			false charpath currentpoint
+			5 index setmatrix stroke
+			grestore
+			_fontRotateAdjust sub
+			moveto
+			_sp eq
+			{
+				5 index 5 index rmoveto
+			} if
+			2 copy rmoveto
+			90 rotate
+		}
+		{
+			currentpoint
+			_fontHeight sub
+			5 index sub
+			3 index _sp eq
+			{
+				9 index sub
+			} if
+	
+			currentpoint
+			exch 4 index stringwidth pop 2 div sub
+			exch _fontAscent sub
+			moveto
+	
+			gsave
+			2 index false charpath
+			6 index setmatrix stroke
+			grestore
+	
+			moveto pop pop
+		} ifelse
+	} cforall
+	6 npop
+} def
+/hjss
+{
+	4 1 roll
+	{
+		dup cstring
+		gsave
+		false charpath currentpoint
+		5 index setmatrix stroke
+		grestore
+		moveto
+		_sp eq
+		{
+			5 index 5 index rmoveto
+		} if
+		2 copy rmoveto
+	} cforall
+	6 npop
+} def
+/jss
+{
+	_lineorientation 0 eq { hjss } { vjss } ifelse
+} def
+/ss
+{
+	0 0 0 7 3 roll jss
+} def
+/vjsp
+{
+	4 1 roll
+	{
+		dup cstring
+		dup length 1 eq
+		_charorientation 1 eq
+		and
+		{
+			-90 rotate
+			currentpoint
+			_fontRotateAdjust add
+			moveto
+			false charpath
+            currentpoint
+			_fontRotateAdjust sub
+			moveto
+			_sp eq
+			{
+				5 index 5 index rmoveto
+			} if
+			2 copy rmoveto
+			90 rotate
+		}
+		{
+			currentpoint
+			_fontHeight sub
+			5 index sub
+			3 index _sp eq
+			{
+				9 index sub
+			} if
+	
+			currentpoint
+			exch 4 index stringwidth pop 2 div sub
+			exch _fontAscent sub
+			moveto
+	
+			2 index false charpath
+	
+			moveto pop pop
+		} ifelse
+	} cforall
+	6 npop
+} def
+/hjsp
+{
+    4 1 roll
+    {
+        dup cstring
+        false charpath
+        _sp eq
+        {
+            5 index 5 index rmoveto
+        } if
+        2 copy rmoveto
+    } cforall
+    6 npop
+} def
+/jsp
+{
+	matrix currentmatrix
+    _lineorientation 0 eq {hjsp} {vjsp} ifelse
+} def
+/sp
+{
+    matrix currentmatrix
+    0 0 0 7 3 roll
+    _lineorientation 0 eq {hjsp} {vjsp} ifelse
+} def
+/pl
+{
+	transform
+	0.25 sub round 0.25 add exch
+	0.25 sub round 0.25 add exch
+	itransform
+} def
+/setstrokeadjust where
+{
+	pop true setstrokeadjust
+	/c
+	{
+		curveto
+	} def
+	/C
+	/c load def
+	/v
+	{
+		currentpoint 6 2 roll curveto
+	} def
+	/V
+	/v load def
+	/y
+	{
+		2 copy curveto
+	} def
+	/Y
+	/y load def
+	/l
+	{
+		lineto
+	} def
+	/L
+	/l load def
+	/m
+	{
+		moveto
+	} def
+}
+{
+	/c
+	{
+		pl curveto
+	} def
+	/C
+	/c load def
+	/v
+	{
+		currentpoint 6 2 roll pl curveto
+	} def
+	/V
+	/v load def
+	/y
+	{
+		pl 2 copy curveto
+	} def
+	/Y
+	/y load def
+	/l
+	{
+		pl lineto
+	} def
+	/L
+	/l load def
+	/m
+	{
+		pl moveto
+	} def
+} ifelse
+/d
+{
+	setdash
+} def
+/cf
+{
+} def
+/i
+{
+	dup 0 eq
+	{
+		pop cf
+	} if
+	setflat
+} def
+/j
+{
+	setlinejoin
+} def
+/J
+{
+	setlinecap
+} def
+/M
+{
+	setmiterlimit
+} def
+/w
+{
+	setlinewidth
+} def
+/XR
+{
+	0 ne
+	/_eo exch ddef
+} def
+/H
+{
+} def
+/h
+{
+	closepath
+} def
+/N
+{
+	_pola 0 eq
+	{
+		_doClip 1 eq
+		{
+			_eo {eoclip} {clip} ifelse /_doClip 0 ddef
+		} if
+		newpath
+	}
+	{
+		/CRender
+		{
+			N
+		} ddef
+	} ifelse
+} def
+/n
+{
+	N
+} def
+/F
+{
+	_pola 0 eq
+	{
+		_doClip 1 eq
+		{
+			gsave _pf grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _fc
+			/_doClip 0 ddef
+		}
+		{
+			_pf
+		} ifelse
+	}
+	{
+		/CRender
+		{
+			F
+		} ddef
+	} ifelse
+} def
+/f
+{
+	closepath
+	F
+} def
+/S
+{
+	_pola 0 eq
+	{
+		_doClip 1 eq
+		{
+			gsave _ps grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _sc
+			/_doClip 0 ddef
+		}
+		{
+			_ps
+		} ifelse
+	}
+	{
+		/CRender
+		{
+			S
+		} ddef
+	} ifelse
+} def
+/s
+{
+	closepath
+	S
+} def
+/B
+{
+	_pola 0 eq
+	{
+		_doClip 1 eq
+		gsave F grestore
+		{
+			gsave S grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _sc
+			/_doClip 0 ddef
+		}
+		{
+			S
+		} ifelse
+	}
+	{
+		/CRender
+		{
+			B
+		} ddef
+	} ifelse
+} def
+/b
+{
+	closepath
+	B
+} def
+/W
+{
+	/_doClip 1 ddef
+} def
+/*
+{
+	count 0 ne
+	{
+		dup type /stringtype eq
+		{
+			pop
+		} if
+	} if
+	newpath
+} def
+/u
+{
+} def
+/U
+{
+} def
+/q
+{
+	_pola 0 eq
+	{
+		gsave
+	} if
+} def
+/Q
+{
+	_pola 0 eq
+	{
+		grestore
+	} if
+} def
+/*u
+{
+	_pola 1 add /_pola exch ddef
+} def
+/*U
+{
+	_pola 1 sub /_pola exch ddef
+	_pola 0 eq
+	{
+		CRender
+	} if
+} def
+/D
+{
+	pop
+} def
+/*w
+{
+} def
+/*W
+{
+} def
+/`
+{
+	/_i save ddef
+	clipForward?
+	{
+		nulldevice
+	} if
+	6 1 roll 4 npop
+	concat pop
+	userdict begin
+	/showpage
+	{
+	} def
+	0 setgray
+	0 setlinecap
+	1 setlinewidth
+	0 setlinejoin
+	10 setmiterlimit
+	[] 0 setdash
+	/setstrokeadjust where {pop false setstrokeadjust} if
+	newpath
+	0 setgray
+	false setoverprint
+} def
+/~
+{
+ end
+	_i restore
+} def
+/_rgbtocmyk
+{
+	3
+	{
+		1 exch sub 3 1 roll
+	} repeat
+	3 copy 1 4 1 roll
+	3
+	{
+		3 index 2 copy gt
+		{
+			exch
+		} if
+		pop 4 1 roll
+	} repeat
+	pop pop pop
+	4 1 roll
+	3
+	{
+		3 index sub
+		3 1 roll
+	} repeat
+	4 -1 roll
+} def
+/setrgbfill
+{
+	_rgbf astore pop
+	/_fc
+	{
+		_lp /fill ne
+		{
+			_of setoverprint
+			_rgbf aload pop setrgbcolor
+			/_lp /fill ddef
+		} if
+	} ddef
+	/_pf
+	{
+		_fc
+		_eo {eofill} {fill} ifelse
+	} ddef
+	/_psf
+	{
+		_fc
+		hvashow
+	} ddef
+	/_pjsf
+	{
+		_fc
+		hvawidthshow
+	} ddef
+	/_lp /none ddef
+} def
+/setrgbstroke
+{
+	_rgbs astore pop
+	/_sc
+	{
+		_lp /stroke ne
+		{
+			_os setoverprint
+			_rgbs aload pop setrgbcolor
+			/_lp /stroke ddef
+		} if
+	} ddef
+	/_ps
+	{
+		_sc
+		stroke
+	} ddef
+	/_pss
+	{
+		_sc
+		ss
+	} ddef
+	/_pjss
+	{
+		_sc
+		jss
+	} ddef
+	/_lp /none ddef
+} def
+/O
+{
+	0 ne
+	/_of exch ddef
+	/_lp /none ddef
+} def
+/R
+{
+	0 ne
+	/_os exch ddef
+	/_lp /none ddef
+} def
+/g
+{
+	/_gf exch ddef
+	/_fc
+	{
+		_lp /fill ne
+		{
+			_of setoverprint
+			_gf setgray
+			/_lp /fill ddef
+		} if
+	} ddef
+	/_pf
+	{
+		_fc
+		_eo {eofill} {fill} ifelse
+	} ddef
+	/_psf
+	{
+		_fc
+		hvashow
+	} ddef
+	/_pjsf
+	{
+		_fc
+		hvawidthshow
+	} ddef
+	/_lp /none ddef
+} def
+/G
+{
+	/_gs exch ddef
+	/_sc
+	{
+		_lp /stroke ne
+		{
+			_os setoverprint
+			_gs setgray
+			/_lp /stroke ddef
+		} if
+	} ddef
+	/_ps
+	{
+		_sc
+		stroke
+	} ddef
+	/_pss
+	{
+		_sc
+		ss
+	} ddef
+	/_pjss
+	{
+		_sc
+		jss
+	} ddef
+	/_lp /none ddef
+} def
+/k
+{
+	_cf astore pop
+	/_fc
+	{
+		_lp /fill ne
+		{
+			_of setoverprint
+			_cf aload pop setcmykcolor
+			/_lp /fill ddef
+		} if
+	} ddef
+	/_pf
+	{
+		_fc
+		_eo {eofill} {fill} ifelse
+	} ddef
+	/_psf
+	{
+		_fc
+		hvashow
+	} ddef
+	/_pjsf
+	{
+		_fc
+		hvawidthshow
+	} ddef
+	/_lp /none ddef
+} def
+/K
+{
+	_cs astore pop
+	/_sc
+	{
+		_lp /stroke ne
+		{
+			_os setoverprint
+			_cs aload pop setcmykcolor
+			/_lp /stroke ddef
+		} if
+	} ddef
+	/_ps
+	{
+		_sc
+		stroke
+	} ddef
+	/_pss
+	{
+		_sc
+		ss
+	} ddef
+	/_pjss
+	{
+		_sc
+		jss
+	} ddef
+	/_lp /none ddef
+} def
+/Xa
+{
+	_?cmyk {
+		3 npop k
+	}{
+		setrgbfill 4 npop
+	} ifelse
+} def
+/XA
+{
+	_?cmyk {
+		3 npop K
+	}{
+		setrgbstroke 4 npop
+	} ifelse
+} def
+/Xs
+{
+	/_gf exch ddef
+	5 npop
+	/_fc
+	{
+		_lp /fill ne
+		{
+			_of setoverprint
+			_gf setAIseparationgray
+			/_lp /fill ddef
+		} if
+	} ddef
+	/_pf
+	{
+		_fc
+		_eo {eofill} {fill} ifelse
+	} ddef
+	/_psf
+	{
+		_fc
+		hvashow
+	} ddef
+	/_pjsf
+	{
+		_fc
+		hvawidthshow
+	} ddef
+	/_lp /none ddef
+} def
+/XS
+{
+	/_gs exch ddef
+	5 npop
+	/_sc
+	{
+		_lp /stroke ne
+		{
+			_os setoverprint
+			_gs setAIseparationgray
+			/_lp /stroke ddef
+		} if
+	} ddef
+	/_ps
+	{
+		_sc
+		stroke
+	} ddef
+	/_pss
+	{
+		_sc
+		ss
+	} ddef
+	/_pjss
+	{
+		_sc
+		jss
+	} ddef
+	/_lp /none ddef
+} def
+/Xx
+{
+	exch
+	/_gf exch ddef
+	0 eq {
+		findcmykcustomcolor
+	}{
+		_?cmyk {true}{/findrgbcustomcolor where{pop false}{true}ifelse}ifelse
+		{
+			4 1 roll 3 npop
+			findcmykcustomcolor
+		}{
+			8 -4 roll 4 npop
+			findrgbcustomcolor
+		} ifelse
+	} ifelse
+	/_if exch ddef
+	/_fc
+	{
+		_lp /fill ne
+		{
+			_of setoverprint
+			_if _gf 1 exch sub setcustomcolor
+			/_lp /fill ddef
+		} if
+	} ddef
+	/_pf
+	{
+		_fc
+		_eo {eofill} {fill} ifelse
+	} ddef
+	/_psf
+	{
+		_fc
+		hvashow
+	} ddef
+	/_pjsf
+	{
+		_fc
+		hvawidthshow
+	} ddef
+	/_lp /none ddef
+} def
+/XX
+{
+	exch
+	/_gs exch ddef
+	0 eq {
+		findcmykcustomcolor
+	}{
+		_?cmyk {true}{/findrgbcustomcolor where{pop false}{true}ifelse}ifelse
+		{
+			4 1 roll 3 npop
+			findcmykcustomcolor
+		}{
+			8 -4 roll 4 npop
+			findrgbcustomcolor
+		} ifelse
+	} ifelse
+	/_is exch ddef
+	/_sc
+	{
+		_lp /stroke ne
+		{
+			_os setoverprint
+			_is _gs 1 exch sub setcustomcolor
+			/_lp /stroke ddef
+		} if
+	} ddef
+	/_ps
+	{
+		_sc
+		stroke
+	} ddef
+	/_pss
+	{
+		_sc
+		ss
+	} ddef
+	/_pjss
+	{
+		_sc
+		jss
+	} ddef
+	/_lp /none ddef
+} def
+/x
+{
+	/_gf exch ddef
+	findcmykcustomcolor
+	/_if exch ddef
+	/_fc
+	{
+		_lp /fill ne
+		{
+			_of setoverprint
+			_if _gf 1 exch sub setcustomcolor
+			/_lp /fill ddef
+		} if
+	} ddef
+	/_pf
+	{
+		_fc
+		_eo {eofill} {fill} ifelse
+	} ddef
+	/_psf
+	{
+		_fc
+		hvashow
+	} ddef
+	/_pjsf
+	{
+		_fc
+		hvawidthshow
+	} ddef
+	/_lp /none ddef
+} def
+/X
+{
+	/_gs exch ddef
+	findcmykcustomcolor
+	/_is exch ddef
+	/_sc
+	{
+		_lp /stroke ne
+		{
+			_os setoverprint
+			_is _gs 1 exch sub setcustomcolor
+			/_lp /stroke ddef
+		} if
+	} ddef
+	/_ps
+	{
+		_sc
+		stroke
+	} ddef
+	/_pss
+	{
+		_sc
+		ss
+	} ddef
+	/_pjss
+	{
+		_sc
+		jss
+	} ddef
+	/_lp /none ddef
+} def
+/XK
+{
+	3 -1 roll pop
+	0 eq
+	{
+		1 exch sub
+		3 {dup 3 1 roll mul 5 1 roll} repeat
+		mul 4 1 roll
+		K
+	}
+	{
+		1 exch sub 4 1 roll
+		3 {1 exch sub 3 index mul 1 exch sub 3 1 roll} repeat
+		4 -1 roll pop
+		XA
+	} ifelse
+} def
+/Xk
+{
+	3 -1 roll pop
+	0 eq
+	{
+		1 exch sub
+		3 {dup 3 1 roll mul 5 1 roll} repeat
+		mul 4 1 roll
+		k
+	}
+	{
+		1 exch sub 4 1 roll
+		3 {1 exch sub 3 index mul 1 exch sub 3 1 roll} repeat
+		4 -1 roll pop
+		Xa
+	} ifelse
+} def
+/A
+{
+	pop
+} def
+/annotatepage
+{
+userdict /annotatepage 2 copy known {get exec} {pop pop} ifelse
+} def
+/XT {
+	pop pop
+} def
+/Xt {
+	pop
+} def
+/discard
+{
+	save /discardSave exch store
+	discardDict begin
+	/endString exch store
+	gt38?
+	{
+		2 add
+	} if
+	load
+	stopped
+	pop
+ end
+	discardSave restore
+} bind def
+userdict /discardDict 7 dict dup begin
+put
+/pre38Initialize
+{
+	/endStringLength endString length store
+	/newBuff buffer 0 endStringLength getinterval store
+	/newBuffButFirst newBuff 1 endStringLength 1 sub getinterval store
+	/newBuffLast newBuff endStringLength 1 sub 1 getinterval store
+} def
+/shiftBuffer
+{
+	newBuff 0 newBuffButFirst putinterval
+	newBuffLast 0
+	currentfile read not
+	{
+	stop
+	} if
+	put
+} def
+0
+{
+	pre38Initialize
+	mark
+	currentfile newBuff readstring exch pop
+	{
+		{
+			newBuff endString eq
+			{
+				cleartomark stop
+			} if
+			shiftBuffer
+		} loop
+	}
+	{
+	stop
+	} ifelse
+} def
+1
+{
+	pre38Initialize
+	/beginString exch store
+	mark
+	currentfile newBuff readstring exch pop
+	{
+		{
+			newBuff beginString eq
+			{
+				/layerCount dup load 1 add store
+			}
+			{
+				newBuff endString eq
+				{
+					/layerCount dup load 1 sub store
+					layerCount 0 eq
+					{
+						cleartomark stop
+					} if
+				} if
+			} ifelse
+			shiftBuffer
+		} loop
+	} if
+} def
+2
+{
+	mark
+	{
+		currentfile buffer {readline} stopped {
+			% assume error was due to overfilling the buffer
+		}{
+			not
+			{
+				stop
+			} if
+			endString eq {
+				cleartomark stop
+			} if
+		}ifelse
+	} loop
+} def
+3
+{
+	/beginString exch store
+	/layerCnt 1 store
+	mark
+	{
+		currentfile buffer {readline} stopped {
+			% assume error was due to overfilling the buffer
+		}{
+			not
+			{
+				stop
+			} if
+			dup beginString eq
+			{
+				pop /layerCnt dup load 1 add store
+			}
+			{
+				endString eq
+				{
+					layerCnt 1 eq
+					{
+						cleartomark stop
+					}
+					{
+						/layerCnt dup load 1 sub store
+					} ifelse
+				} if
+			} ifelse
+		}ifelse
+	} loop
+} def
+end
+userdict /clipRenderOff 15 dict dup begin
+put
+{
+	/n /N /s /S /f /F /b /B
+}
+{
+	{
+		_doClip 1 eq
+		{
+			/_doClip 0 ddef _eo {eoclip} {clip} ifelse
+		} if
+		newpath
+	} def
+} forall
+/Tr /pop load def
+/Bb {} def
+/BB /pop load def
+/Bg {12 npop} def
+/Bm {6 npop} def
+/Bc /Bm load def
+/Bh {4 npop} def
+end
+/Lb
+{
+	6 npop
+	7 2 roll
+	5 npop
+	0 eq
+	{
+		0 eq
+		{
+			(%AI5_BeginLayer) 1 (%AI5_EndLayer--) discard
+		}
+		{
+			
+			/clipForward? true def
+			
+			/Tx /pop load def
+			/Tj /pop load def
+			
+			currentdict end clipRenderOff begin begin
+		} ifelse
+	}
+	{
+		0 eq
+		{
+			save /discardSave exch store
+		} if
+	} ifelse
+} bind def
+/LB
+{
+	discardSave dup null ne
+	{
+		restore
+	}
+	{
+		pop
+		clipForward?
+		{
+			currentdict
+		 end
+		 end
+		 begin
+					
+			/clipForward? false ddef
+		} if
+	} ifelse
+} bind def
+/Pb
+{
+	pop pop
+	0 (%AI5_EndPalette) discard
+} bind def
+/Np
+{
+	0 (%AI5_End_NonPrinting--) discard
+} bind def
+/Ln /pop load def
+/Ap
+/pop load def
+/Ar
+{
+	72 exch div
+	0 dtransform dup mul exch dup mul add sqrt
+	dup 1 lt
+	{
+		pop 1
+	} if
+	setflat
+} def
+/Mb
+{
+	q
+} def
+/Md
+{
+} def
+/MB
+{
+	Q
+} def
+/nc 4 dict def
+nc begin
+/setgray
+{
+	pop
+} bind def
+/setcmykcolor
+{
+	4 npop
+} bind def
+/setrgbcolor
+{
+	3 npop
+} bind def
+/setcustomcolor
+{
+	2 npop
+} bind def
+currentdict readonly pop
+end
+/XP
+{
+	4 npop
+} bind def
+/XD
+{
+	pop
+} bind def
+end
+setpacking
+%%EndResource
+%%BeginResource: procset Adobe_cshow 2.0 8
+%%Title: (Writing System Operators)
+%%Version: 2.0 8
+%%CreationDate: (1/23/89) ()
+%%Copyright: ((C) 1992-1996 Adobe Systems Incorporated All Rights Reserved)
+currentpacking true setpacking
+userdict /Adobe_cshow 14 dict dup begin put
+/initialize
+{
+	Adobe_cshow begin
+	Adobe_cshow
+	{
+		dup xcheck
+		{
+			bind
+		} if
+		pop pop
+	} forall
+ end
+	Adobe_cshow begin
+} def
+/terminate
+{
+currentdict Adobe_cshow eq
+	{
+ end
+	} if
+} def
+/cforall
+{
+	/_lobyte 0 ddef
+	/_hibyte 0 ddef
+	/_cproc exch ddef
+	/_cscript currentfont /FontScript known { currentfont /FontScript get } { -1 } ifelse ddef
+	{
+		/_lobyte exch ddef
+		_hibyte 0 eq
+		_cscript 1 eq
+		_lobyte 129 ge _lobyte 159 le and
+		_lobyte 224 ge _lobyte 252 le and or and
+		_cscript 2 eq
+		_lobyte 161 ge _lobyte 254 le and and
+		_cscript 3 eq
+		_lobyte 161 ge _lobyte 254 le and and
+    	_cscript 25 eq
+		_lobyte 161 ge _lobyte 254 le and and
+    	_cscript -1 eq
+		or or or or and
+		{
+			/_hibyte _lobyte ddef
+		}
+		{
+			_hibyte 256 mul _lobyte add
+			_cproc
+			/_hibyte 0 ddef
+		} ifelse
+	} forall
+} def
+/cstring
+{
+	dup 256 lt
+	{
+		(s) dup 0 4 3 roll put
+	}
+	{
+		dup 256 idiv exch 256 mod
+		(hl) dup dup 0 6 5 roll put 1 4 3 roll put
+	} ifelse
+} def
+/clength
+{
+	0 exch
+	{ 256 lt { 1 } { 2 } ifelse add } cforall
+} def
+/hawidthshow
+{
+	{
+		dup cstring
+		show
+		_hvax _hvay rmoveto
+		_hvwb eq { _hvcx _hvcy rmoveto } if
+	} cforall
+} def
+/vawidthshow
+{
+	{
+		dup 255 le
+		_charorientation 1 eq
+		and
+		{
+			-90 rotate
+			0 _fontRotateAdjust rmoveto
+			cstring
+			_hvcx _hvcy _hvwb _hvax _hvay 6 -1 roll awidthshow
+			0 _fontRotateAdjust neg rmoveto
+			90 rotate
+		}
+		{
+			currentpoint
+			_fontHeight sub
+			exch _hvay sub exch _hvax sub
+			2 index _hvwb eq { exch _hvcy sub exch _hvcx sub } if
+			3 2 roll
+			cstring
+			dup stringwidth pop 2 div neg _fontAscent neg rmoveto
+			show
+			moveto
+		} ifelse
+	} cforall
+} def
+/hvawidthshow
+{
+	6 1 roll
+	/_hvay exch ddef
+	/_hvax exch ddef
+	/_hvwb exch ddef
+	/_hvcy exch ddef
+	/_hvcx exch ddef
+	_lineorientation 0 eq { hawidthshow } { vawidthshow } ifelse
+} def
+/hvwidthshow
+{
+	0 0 3 -1 roll hvawidthshow
+} def
+/hvashow
+{
+	0 0 0 6 -3 roll hvawidthshow
+} def
+/hvshow
+{
+	0 0 0 0 0 6 -1 roll hvawidthshow
+} def
+currentdict readonly pop end
+setpacking
+%%EndResource
+%%BeginResource: procset Adobe_shading_AI8 1.0 0
+%%Title: (Adobe Illustrator 8 Shading Procset)
+%%Version: 1.0 0
+%%CreationDate: (12/17/97) ()
+%%Copyright: ((C) 1987-1997 Adobe Systems Incorporated All Rights Reserved)
+userdict /defaultpacking currentpacking put true setpacking
+userdict /Adobe_shading_AI8 10 dict dup begin put
+/initialize {
+	Adobe_shading_AI8 begin
+	Adobe_shading_AI8 bdprocs
+	Mesh /initialize get exec
+} def
+/terminate {
+	currentdict Adobe_shading_AI8 eq {
+	 end
+	} if
+} def
+/bdprocs {
+	{
+		dup xcheck 1 index type /arraytype eq and {
+			bind
+		} if
+		pop pop
+	} forall
+} def
+/X! {pop} def
+/X# {pop pop} def
+/Mesh 40 dict def
+Mesh begin
+/initialize {
+	Mesh bdprocs
+	Mesh begin
+		/emulate? /AI8MeshEmulation where {
+			pop AI8MeshEmulation
+		}{
+			systemdict /shfill known not
+		} ifelse def
+ end
+} def
+/bd {
+	shadingdict begin
+} def
+/paint {
+	emulate? {
+	 end
+	}{
+		/_lp /none ddef _fc /_lp /none ddef
+		
+		/AIColorSpace AIColorSpace tocolorspace store
+		/ColorSpace AIColorSpace topsspace store
+		
+		version_ge_3010.106 not systemdict /setsmoothness known and {
+			0.0001 setsmoothness
+		} if
+		
+		composite? {
+			/DataSource getdatasrc def
+			Matrix concat
+			currentdict end
+			shfill
+		}{
+			AIColorSpace makesmarks AIPlateList markingplate and not isoverprint and {
+			 end
+			}{
+				/ColorSpace /DeviceGray store
+				/Decode [0 1 0 1 0 1] store
+				/DataSource getplatesrc def
+				Matrix concat
+				currentdict end
+				shfill
+			} ifelse
+		} ifelse
+	} ifelse
+} def
+/shadingdict 12 dict def
+shadingdict begin
+	/ShadingType 6 def
+	/BitsPerCoordinate 16 def
+	/BitsPerComponent 8 def
+	/BitsPerFlag 8 def
+end
+/datafile null def
+/databuf 256 string def
+/dataptr 0 def
+/srcspace null def
+/srcchannels 0 def
+/dstchannels 0 def
+/dstplate 0 def
+/srctodstcolor null def
+/getplatesrc {
+	/srcspace AIColorSpace store
+	/srcchannels AIColorSpace getnchannels store
+	/dstchannels 1 store
+	/dstplate getplateindex store
+	/srctodstcolor srcspace makesmarks {
+		dstplate 4 eq {
+			{1 exch sub}
+		}{
+			{srcspace tocmyk 3 dstplate sub index 1 exch sub 5 1 roll 4 {pop} repeat}
+		} ifelse
+	}{
+		{srcchannels {pop} repeat 1}
+	} ifelse store
+	/datafile getdatasrc store
+	/rdpatch168 load DataLength () /SubFileDecode filter
+} def
+/getdatasrc {
+	/rdcmntline load /ASCII85Decode filter
+} def
+/rdpatch168 {
+	/dataptr 0 store
+	49 rdcount
+	4 {
+		dup {pop srcchannels getint8} if
+		dup {pop srctodstcolor dstchannels putint8 true} if
+	} repeat
+	{databuf 0 dataptr getinterval}{()} ifelse
+} def
+/rdpatch3216 {
+	/dataptr 0 store
+	97 rdcount
+	4 {
+		dup {pop srcchannels getint16} if
+		dup {pop srctodstcolor dstchannels putint16 true} if
+	} repeat
+	{databuf 0 dataptr getinterval}{()} ifelse
+} def
+/rdcount {
+	dup 0 gt {
+		datafile databuf dataptr 4 -1 roll getinterval readstring
+		exch length dataptr add /dataptr exch store
+	}{
+		true
+	} ifelse
+} def
+/getint8 {
+	mark true 3 -1 roll
+	{
+		dup {pop datafile read} if
+		dup {pop 255 div true} if
+	} repeat
+	{
+		counttomark 1 add -1 roll pop true
+	}{
+		cleartomark false
+	} ifelse
+} def
+/putint8 {
+	dup dataptr add /dataptr exch store
+	dataptr exch
+	{
+		1 sub exch
+		255 mul cvi
+		databuf 2 index
+		3 -1 roll put
+	} repeat
+	pop
+} def 
+/getint16 {
+	mark true 3 -1 roll
+	{
+		dup {pop datafile read} if
+		dup {pop 256 mul datafile read} if
+		dup {pop add 65535 div true} if
+	} repeat
+	{
+		counttomark 1 add -1 roll pop true
+	}{
+		cleartomark false
+	} ifelse
+} def
+/putint16 {
+	dup 2 mul dataptr add /dataptr exch store
+	dataptr exch
+	{
+		2 sub exch
+		65535 mul cvi dup
+		256 idiv databuf 3 index 3 -1 roll put
+		256 mod databuf 2 index 1 add 3 -1 roll put
+	} repeat
+	pop
+} def 
+/srcbuf 256 string def
+/rdcmntline {
+	currentfile srcbuf readline pop
+	(%) anchorsearch {pop} if
+} def
+/getplateindex {
+	0 [cyan? magenta? yellow? black? customColor?] {{exit} if 1 add} forall
+} def
+/aicsarray 4 array def
+/aicsaltvals 4 array def
+/aicsaltcolr aicsaltvals def
+/tocolorspace {
+	dup type /arraytype eq {
+		mark exch aload pop
+		aicsarray 0 3 -1 roll put
+		aicsarray 1 3 -1 roll put
+		dup aicsarray 2 3 -1 roll put
+		gettintxform aicsarray 3 3 -1 roll put
+		counttomark aicsaltvals 0 3 -1 roll getinterval /aicsaltcolr exch store
+		aicsaltcolr astore pop pop
+		aicsarray
+	} if
+} def
+/subtintxform {aicsaltcolr {1 index mul exch} forall pop} def
+/addtintxform {aicsaltcolr {1 sub 1 index mul 1 add exch} forall pop} def
+/gettintxform {
+	/DeviceRGB eq {/addtintxform}{/subtintxform} ifelse load
+} def
+/getnchannels {
+	dup type /arraytype eq {0 get} if
+	colorspacedict exch get begin Channels end
+} def
+/makesmarks {
+	composite? {
+		pop true
+	}{
+		dup dup type /arraytype eq {0 get} if
+		colorspacedict exch get begin MarksPlate end
+	} ifelse
+} def
+/markingplate {
+	composite? {
+		pop true
+	}{
+		dup type /arraytype eq {
+			dup length getplateindex gt {getplateindex get}{pop false} ifelse
+		} if
+	} ifelse
+} def
+/tocmyk {
+	dup dup type /arraytype eq {0 get} if
+	colorspacedict exch get begin ToCMYK end
+} def
+/topsspace {
+	dup dup type /arraytype eq {0 get} if
+	colorspacedict exch get begin ToPSSpace end
+} def
+/colorspacedict 5 dict dup begin
+	/DeviceGray 4 dict dup begin
+		/Channels 1 def
+		/MarksPlate {pop black?} def
+		/ToCMYK {pop 1 exch sub 0 0 0 4 -1 roll} def
+		/ToPSSpace {} def
+ end def
+	/DeviceRGB 4 dict dup begin
+		/Channels 3 def
+		/MarksPlate {pop isCMYKSep?} def
+		/ToCMYK {pop _rgbtocmyk} def
+		/ToPSSpace {} def
+ end def
+	/DeviceCMYK 4 dict dup begin
+		/Channels 4 def
+		/MarksPlate {pop isCMYKSep?} def
+		/ToCMYK {pop} def
+		/ToPSSpace {} def
+ end def
+	/Separation 4 dict dup begin
+		/Channels 1 def
+		/MarksPlate {
+			/findcmykcustomcolor where {
+				pop dup 1 exch ToCMYK 5 -1 roll 1 get
+				findcmykcustomcolor 1 setcustomcolor
+				systemdict /currentgray get exec
+				1 ne
+			}{
+				pop false
+			} ifelse
+		} def
+		/ToCMYK {
+			dup 2 get mark exch 4 2 roll
+			3 get exec
+			counttomark -1 roll tocmyk
+			5 -1 roll pop
+		} def
+		/ToPSSpace {} def
+ end def
+	/Process 4 dict dup begin
+		/Channels 1 def
+		/MarksPlate {
+			isCMYKSep? {
+				1 exch ToCMYK 4 array astore getplateindex get 0 ne 
+			}{
+				pop false
+			} ifelse
+		} def
+		/ToCMYK {
+			dup 2 get mark exch 4 2 roll
+			3 get exec
+			counttomark -1 roll tocmyk
+			5 -1 roll pop
+		} def
+		/ToPSSpace {
+			4 array copy dup 0 /Separation put
+		} def
+ end def
+end def
+/isoverprint {
+	/currentoverprint where {pop currentoverprint}{_of} ifelse
+} def
+/version_ge_3010.106 {
+   version {cvr} stopped {
+      pop
+      false
+   }{
+      3010.106 ge
+   } ifelse
+} def
+end
+end
+defaultpacking setpacking
+%%EndResource
+%%EndProlog
%%BeginSetup
userdict /_useSmoothShade false put
userdict /_aicmykps true put
userdict /_forceToCMYK true put
Adobe_level2_AI5 /initialize get exec
+Adobe_cshow /initialize get exec
+Adobe_ColorImage_AI6 /initialize get exec
+Adobe_shading_AI8 /initialize get exec
+Adobe_Illustrator_AI5 /initialize get exec
+%AI3_BeginRider
currentpacking true setpacking
setpacking
%AI3_EndRider
%AI5_Begin_NonPrinting
Np
%AI8_PluginGroupInfo
(Adobe Path Blends) (Adobe Blends Plugin) (LiveBlends.aip)
%AI8_PluginGroupInfo
(Adobe Tracing Object) (Tracing) (TracingSuite.aip)
%AI8_PluginGroupInfo
(Adobe Scatter Brush Tool) (Adobe Scatter Brush Plugin) (ScatterBrushTool.aip)
%AI8_PluginGroupInfo
(Adobe Scatter Brush Tool) (Adobe Scatter Brush Plugin) (ScatterBrushTool.aip)
%AI8_PluginGroupInfo
(Adobe PatternOnPath Brush Tool) (Adobe Pattern Brush Plugin) (ArtBrushTool.aip)
%AI8_PluginGroupInfo
(Adobe PatternOnPath Brush Tool) (Adobe Pattern Brush Plugin) (ArtBrushTool.aip)
%AI8_PluginGroupInfo
(Adobe ArtOnPath Brush Tool) (Adobe Art Brush Plugin) (ArtBrushTool.aip)
%AI8_PluginGroupInfo
(Adobe ArtOnPath Brush Tool) (Adobe Art Brush Plugin) (ArtBrushTool.aip)
%AI8_PluginGroupInfo
(Adobe Calligraphic Brush Tool) (Adobe Calligraphic Brush Plugin) (CalligBrushTool.aip)
%AI8_PluginGroupInfo
(Adobe Flare Plugin) (Flare) (Flare.aip)
%AI8_PluginGroupInfo
(Adobe Symbolism) (Adobe Symbolism) (ParticleSystem.aip)
%AI8_PluginGroupInfo
(Adobe Deform Plugin) (Adobe Envelope Plugin) (Envelope and Warp.aip)
%AI8_PluginGroupInfo
(Pathfinder Suite) (Adobe Compound Shape) (PathFinderS.aip)
%AI8_PluginGroupInfo
(Adobe Planar Group) (Adobe Live Paint Plugin) (Live Paint.aip)
%AI5_End_NonPrinting--
%AI5_BeginPalette
0 0 Pb
0.74902 0.678431 0.670588 0.901961 ([Registration]) 0 Xs
([Registration])
Pc
PB
%AI5_EndPalette
%%EndSetup
%AI5_BeginLayer
1 1 1 1 0 0 1 0 79 128 255 0 50 Lb
(svg2759) Ln
0 A
u
U
u
u
0 O
0.34902 0.231373 0.305882 0 0.666667 0.698039 0.670588 Xa
0 J 0 j 1 w 4 M []0 d
0 XR
343.6401 319.9927 m
456.9941 319.791 L
458.5781 319.791 459.9922 320.0259 459.9922 316.6309 C
459.8535 279.3018 L
340.7793 279.3018 L
340.7793 316.7695 L
340.7793 318.4438 340.9414 319.9927 343.6401 319.9927 C
f
*u
1 D
0.74902 0.678431 0.670588 0.901961 0 0 0 Xa
458.252 320.5 m
342.7471 320.5 L
341.5083 320.5 340.5 319.4922 340.5 318.2534 C
340.5 279.0068 L
340.5 278.7266 340.7275 278.5 341.0073 278.5 C
459.9922 278.5 L
460.2725 278.5 460.5 278.7266 460.5 279.0068 C
460.5 318.2534 L
460.5 319.4922 459.4922 320.5 458.252 320.5 C
f
0 D
342.7471 319.4849 m
458.252 319.4849 L
458.9316 319.4849 459.4844 318.9326 459.4844 318.2534 C
459.4844 302.4063 459.4844 290.9775 V
376.6597 290.9775 L
373.6338 285.5068 367.8042 281.792 361.1133 281.792 c
354.4199 281.792 348.5918 285.5039 345.5674 290.9775 C
341.5151 290.9775 L
341.5151 302.4063 341.5151 318.2534 Y
341.5151 318.9326 342.0679 319.4849 342.7471 319.4849 C
f
*U
u
*u
0 0 0 0 1 1 1 Xa
414.3086 287.752 m
414.625 287.752 414.9121 287.7246 415.1738 287.6689 C
415.4336 287.6133 415.6563 287.5225 415.8418 287.3955 C
416.0273 287.2695 416.1719 287.1006 416.2744 286.8906 C
416.376 286.6797 416.4277 286.4219 416.4277 286.1113 c
416.4277 285.7773 416.3516 285.5 416.1992 285.2783 C
416.0479 285.0547 415.8223 284.873 415.5254 284.7305 C
415.9355 284.6133 416.2412 284.4082 416.4434 284.1133 c
416.6445 283.8203 416.7461 283.4648 416.7461 283.0508 c
416.7461 282.7168 416.6807 282.4277 416.5508 282.1836 C
416.4209 281.9395 416.2451 281.7402 416.0254 281.5859 C
415.8057 281.4307 415.5547 281.3164 415.2725 281.2422 C
414.9902 281.168 414.7012 281.1309 414.4033 281.1309 C
411.1875 281.1309 L
411.1875 287.752 L
414.3086 287.752 L
414.3086 287.752 L
f
1 D
414.123 285.0742 m
414.3828 285.0742 414.5957 285.1367 414.7637 285.2598 C
414.9316 285.3828 415.0146 285.583 415.0146 285.8604 c
415.0146 286.0146 414.9863 286.1416 414.9316 286.2402 C
414.875 286.3389 414.8008 286.416 414.708 286.4717 C
414.6152 286.5273 414.5078 286.5664 414.3877 286.5869 c
414.2676 286.6084 414.1406 286.6191 414.0117 286.6191 C
412.6465 286.6191 L
412.6465 285.0742 L
414.123 285.0742 L
f
414.208 282.2637 m
414.3506 282.2637 414.4863 282.2773 414.6172 282.3057 c
414.7461 282.334 414.8613 282.3809 414.9609 282.4443 C
415.0605 282.5098 415.1387 282.5977 415.1973 282.709 C
415.2578 282.8203 415.2861 282.9629 415.2861 283.1357 c
415.2861 283.4746 415.1895 283.7178 414.998 283.8633 C
414.8057 284.0078 414.5518 284.0801 414.2363 284.0801 C
412.6465 284.0801 L
412.6465 282.2637 L
414.208 282.2637 L
f
*U
0 D
417.0029 287.752 m
418.6367 287.752 L
420.1875 285.1367 L
421.7285 287.752 L
423.3516 287.752 L
420.8936 283.6719 L
420.8936 281.1309 L
419.4336 281.1309 L
419.4336 283.709 L
417.0029 287.752 L
f
U
u
374.7539 300.894 m
374.7588 293.3643 368.6577 287.2578 361.1274 287.252 C
353.5977 287.248 347.4888 293.3477 347.4844 300.8774 C
347.4844 300.8828 347.4844 300.8882 347.4844 300.894 C
347.48 308.4238 353.5811 314.5308 361.1108 314.5352 C
368.6421 314.54 374.7495 308.4395 374.7539 300.9102 C
374.7539 300.9053 374.7539 300.8994 374.7539 300.894 C
f
u
*u
0.74902 0.678431 0.670588 0.901961 0 0 0 Xa
372.2031 311.9985 m
375.2266 308.9751 376.7388 305.2729 376.7388 300.894 c
376.7388 296.5137 375.2529 292.8516 372.2813 289.9063 C
369.1279 286.8037 365.4004 285.2529 361.1001 285.2529 c
356.8511 285.2529 353.1885 286.791 350.1133 289.8672 C
347.0371 292.9424 345.4995 296.6182 345.4995 300.894 c
345.4995 305.1689 347.0371 308.8706 350.1133 311.9985 C
353.1104 315.0225 356.7729 316.5347 361.1001 316.5347 c
365.479 316.5347 369.1797 315.0225 372.2031 311.9985 C
f
1 D
352.1484 309.9648 m
349.5923 307.3828 348.3149 304.3589 348.3149 300.8896 c
348.3149 297.4219 349.5801 294.4229 352.1094 291.8945 C
354.6396 289.3643 357.6514 288.0996 361.146 288.0996 c
364.6406 288.0996 367.6782 289.377 370.2603 291.9326 C
372.7119 294.3066 373.938 297.291 373.938 300.8896 c
373.938 304.4614 372.6919 307.4937 370.2012 309.9839 C
367.7109 312.4741 364.6924 313.7197 361.146 313.7197 c
357.5996 313.7197 354.5996 312.4678 352.1484 309.9648 C
f
0 D
358.8755 302.4155 m
358.4849 303.2671 357.9004 303.6929 357.1206 303.6929 c
355.7417 303.6929 355.0527 302.7646 355.0527 300.9092 c
355.0527 299.0537 355.7417 298.127 357.1206 298.127 c
358.0308 298.127 358.6812 298.5781 359.0713 299.4834 C
360.9819 298.4658 L
360.0713 296.8477 358.7046 296.0391 356.8828 296.0391 c
355.4775 296.0391 354.3516 296.4697 353.5063 297.3301 C
352.6597 298.1914 352.2373 299.3799 352.2373 300.894 c
352.2373 302.3813 352.6733 303.5625 353.5454 304.4375 c
354.417 305.312 355.5029 305.749 356.8052 305.749 c
358.731 305.749 360.1099 304.9902 360.9438 303.4741 C
358.8755 302.4155 L
f
367.8657 302.4155 m
367.4746 303.2671 366.9014 303.6929 366.146 303.6929 c
364.7397 303.6929 364.0361 302.7646 364.0361 300.9092 c
364.0361 299.0537 364.7397 298.127 366.146 298.127 c
367.0576 298.127 367.6963 298.5781 368.0605 299.4834 C
370.0142 298.4658 L
369.105 296.8477 367.7402 296.0391 365.9219 296.0391 c
364.5186 296.0391 363.395 296.4697 362.5503 297.3301 C
361.707 298.1914 361.2842 299.3799 361.2842 300.894 c
361.2842 302.3813 361.7134 303.5625 362.5708 304.4375 C
363.4277 305.312 364.5186 305.749 365.8442 305.749 c
367.7666 305.749 369.1436 304.9902 369.9746 303.4741 C
367.8657 302.4155 L
f
*U
U
/AdobeObjectMatrix (1.000000 0.000000 0.000000 1.000000 -289.615692 99.065300) XT
U
/AdobeObjectMatrix (0.872921 0.000000 0.000000 0.872921 50.125359 143.214401) XT
u
0 0 0 0 1 1 1 Xa
416.7676 316.0215 m
422.6982 316.0215 427.5059 311.2139 427.5059 305.2832 c
427.5059 299.353 422.6982 294.5449 416.7676 294.5449 c
410.8359 294.5449 406.0273 299.353 406.0273 305.2832 c
406.0273 311.2139 410.8359 316.0215 416.7676 316.0215 c
f
u
1 D
0.74902 0.678431 0.670588 0.901961 0 0 0 Xa
419.875 308.3901 m
419.875 308.8042 419.5391 309.1392 419.127 309.1392 C
414.3828 309.1392 L
413.9707 309.1392 413.6348 308.8042 413.6348 308.3901 C
413.6348 303.6475 L
414.957 303.6475 L
414.957 298.0313 L
418.5518 298.0313 L
418.5518 303.6475 L
419.875 303.6475 L
419.875 308.3901 L
419.875 308.3901 L
f
0 D
416.7539 313.0083 m
417.6504 313.0083 418.377 312.2817 418.377 311.3857 c
418.377 310.4897 417.6504 309.7632 416.7539 309.7632 c
415.8584 309.7632 415.1318 310.4897 415.1318 311.3857 c
415.1318 312.2817 415.8584 313.0083 416.7539 313.0083 c
f
U
*u
1 D
416.7402 317.1143 m
413.5273 317.1143 410.8086 315.9937 408.583 313.752 C
406.2998 311.4331 405.1582 308.6885 405.1582 305.5195 c
405.1582 302.3511 406.2998 299.6255 408.583 297.3457 C
410.8672 295.0654 413.5859 293.9258 416.7402 293.9258 c
419.9336 293.9258 422.7012 295.0742 425.041 297.375 C
427.248 299.5576 428.3516 302.2729 428.3516 305.5195 c
428.3516 308.7666 427.2285 311.5103 424.9844 313.752 C
422.7383 315.9937 419.9912 317.1143 416.7402 317.1143 c
f
0 D
416.7695 315.0278 m
419.4004 315.0278 421.6367 314.0996 423.4746 312.2446 C
425.332 310.4092 426.2598 308.1675 426.2598 305.5195 c
426.2598 302.853 425.3516 300.6401 423.5322 298.8818 C
421.6152 296.9883 419.3623 296.041 416.7695 296.041 c
414.1748 296.041 411.9395 296.9785 410.0645 298.8525 C
408.1855 300.7275 407.248 302.9497 407.248 305.5195 c
407.248 308.0903 408.1973 310.3315 410.0938 312.2446 C
411.9121 314.0996 414.1367 315.0278 416.7695 315.0278 c
f
*U
U
U
/AdobeObjectMatrix (0.993773 0.000000 0.000000 0.993670 -177.692673 0.000001) XT
U
LB
%AI5_EndLayer--
%AI3_BeginCrops
userdict /AI3_noCropMarks known not {
0 A
u
u
0 R
0 G
0 J 0 j 0.5 w 4 M []0 d
0 XR
331.5 278.5 m
304.5 278.5 L
S
340.5 269.5 m
340.5 242.5 L
S
U
u
331.5 320.5 m
304.5 320.5 L
S
340.5 329.5 m
340.5 356.5 L
S
U
u
469.5 320.5 m
496.5 320.5 L
S
460.5 329.5 m
460.5 356.5 L
S
U
u
469.5 278.5 m
496.5 278.5 L
S
460.5 269.5 m
460.5 242.5 L
S
U
U
} if
%AI3_EndCrops
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI5 /terminate get exec
+Adobe_shading_AI8 /terminate get exec
+Adobe_ColorImage_AI6 /terminate get exec
+Adobe_cshow /terminate get exec
+Adobe_level2_AI5 /terminate get exec
+%%EOF
+
\ No newline at end of file

diff --git a/preamble.tex b/preamble.tex
@@ -91,6 +91,43 @@
    \clearpage            % Skip a page
   }
 
+% Catalographic sheet environment
+\newenvironment{catalographiccard}
+  {\clearpage
+   \thispagestyle{empty}
+   \vspace*{1cm} % Some space at the top
+   \begin{center}
+   This work is licensed under a \textbf{Creative Commons Attributions 4.0
+   International License}
+   \par
+   \vspace{1em}
+   \includegraphics[width=2cm]{images/by.eps}
+   \end{center}
+   \null\vfill
+   \begin{center}
+   Catalographic card created with data inserted by the author\\
+   Carlos Benjamin de Lyra Library\\
+   Institute of Mathematic and Statistics of the University of São Paulo
+   \par
+   \vspace{1em}
+   \begin{tabular}{p{13.7cm}}
+   \hline
+   \begin{small}
+  }
+  {\par
+   \end{small}
+   \\ \hline
+   \end{tabular}
+   \par
+   \vspace{1em}
+   Librarians at the Library and Information Service Carlos Benjamin de Lyra of
+   IME-USP, responsible for the cataloging structure of the publication
+   according to AACR2:\\
+   Maria Lúcia Ribeiro CRB-8/2766; Stela do Nascimento Madruga CRB 8/7534.
+   \end{center}
+   \clearpage
+  }
+
 % Command to define the subtitle in the cover of the book
 \newcommand{\subtitle}[1]{\def\thesubtitle{#1}}
 

diff --git a/tcc.tex b/tcc.tex
@@ -8,6 +8,22 @@
 
 \input{cover}
 
+\begin{catalographiccard}
+\begin{verbatim}
+Garcia, Thiago Brevidelli
+Lie Algebras & their Representations / Thiago Brevidelli Garcia; orientadora,
+Iryna Kashuba. - São Paulo, 2022.
+62 p.
+
+Trabalho de Conclusão de Curso (Graduação) - Matemática / Instituto de Matemática
+e Estatística / Universidade de São Paulo.
+Bibliografia
+
+1. ÁLGEBRA ABSTRATA. 2. ÁLGEBRAS DE LIE. 3. TEORIA DE REPRESENTAÇÕES.
+I. Kashuba, Iryna. II. Título.
+\end{verbatim}
+\end{catalographiccard}
+
 \begin{dedication}
   To Violeta
 \end{dedication}