The equivalence of cooling to the gradient flow when the cooling step $n_c$ and the continuous flow step of gradient flow $\tau$ are matched is generalized to gauge actions that include rectangular terms. By expanding the link variables up to subleading terms in perturbation theory, we relate $n_c$ and $\tau$ and show that the results for the topological charge become equivalent when rescaling $\tau \simeq n_c/({3-15 c_1)$ where $c_1$ is the Symanzik coefficient multiplying the rectangular term. We, subsequently, apply cooling and the gradient flow using the Wilson, the Symanzik tree-level improved and the Iwasaki gauge actions to configurations produced with $N_f=2+1+1$ twisted mass fermions. We compute the topological charge, its distribution and the correlators between cooling and gradient flow at three values of the lattice spacing demonstrating that the perturbative rescaling $\tau \simeq n_c/({3-15 c_1)$ leads to equivalent results. \begin{center \today \end{center
action_B55_Iwasaki.tex
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/C3 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C4 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 180 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C5 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc
	2 copy moveto
	2 copy vpt 180 270 arc closepath fill
	vpt 0 360 arc} bind def
/C6 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C7 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C8 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 270 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C9 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 270 450 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill
	2 copy moveto
	2 copy vpt 90 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C11 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 180 arc closepath fill
	2 copy moveto
	2 copy vpt 270 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C12 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 180 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C13 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc closepath fill
	2 copy moveto
	2 copy vpt 180 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C14 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 360 arc closepath fill
	vpt 0 360 arc} bind def
/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
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/Square {dup Rec} bind def
/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def
/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def
/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def
/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def
/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill
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/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
	2 copy vpt Square fill Bsquare} bind def
/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def
/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
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/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
	Bsquare} bind def
/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def
/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
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/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
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/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def
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%
% PostScript Level 1 Pattern Fill routine for rectangles
% Usage: x y w h s a XX PatternFill
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%	 XX = 0/1 for no/yes cross-hatch
%
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  0 PFa 6 get ne {
	0 1 PFs PFa 4 get div 1 add floor cvi
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%
/languagelevel where
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%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
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/Pat1 exch def
<< Tile8x8
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>> matrix makepattern
/Pat4 exch def
<< Tile8x8
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>> matrix makepattern
/Pat5 exch def
<< Tile8x8
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>> matrix makepattern
/Pat6 exch def
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>> matrix makepattern
/Pat7 exch def
<< Tile8x8
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>> matrix makepattern
/Pat8 exch def
<< Tile8x8
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>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
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} def
%
% Substitute for Level 2 pattern fill codes with
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%
/Level1PatternFill {
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/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
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/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def
/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def
/C1 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C2 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C3 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C4 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 180 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C5 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc
	2 copy moveto
	2 copy vpt 180 270 arc closepath fill
	vpt 0 360 arc} bind def
/C6 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C7 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C8 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 270 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C9 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 270 450 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill
	2 copy moveto
	2 copy vpt 90 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C11 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 180 arc closepath fill
	2 copy moveto
	2 copy vpt 270 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C12 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 180 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C13 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc closepath fill
	2 copy moveto
	2 copy vpt 180 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C14 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 360 arc closepath fill
	vpt 0 360 arc} bind def
/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill
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/Square {dup Rec} bind def
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/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def
/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def
/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill
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/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
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/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def
/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
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/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
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/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def
/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
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%
% PostScript Level 1 Pattern Fill routine for rectangles
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%
/languagelevel where
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%
% PostScript level 2 pattern fill definitions
%
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/Pat4 exch def
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>> matrix makepattern
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/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
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/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
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%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
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%
% Substitute for Level 2 pattern fill codes with
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%
/Level1PatternFill {
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/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
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correlation_coefficient_Iwasaki.tex
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correlation_coefficient_Symanzik.tex
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/hpt2 hpt 2 mul def
/Lshow {currentpoint stroke M 0 vshift R 
	Blacktext {gsave 0 setgray show grestore} {show} ifelse} def
/Rshow {currentpoint stroke M dup stringwidth pop neg vshift R
	Blacktext {gsave 0 setgray show grestore} {show} ifelse} def
/Cshow {currentpoint stroke M dup stringwidth pop -2 div vshift R 
	Blacktext {gsave 0 setgray show grestore} {show} ifelse} def
/UP {dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def
  /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def} def
/DL {Color {setrgbcolor Solid {pop []} if 0 setdash}
 {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse} def
/BL {stroke userlinewidth 2 mul setlinewidth
	Rounded {1 setlinejoin 1 setlinecap} if} def
/AL {stroke userlinewidth 2 div setlinewidth
	Rounded {1 setlinejoin 1 setlinecap} if} def
/UL {dup gnulinewidth mul /userlinewidth exch def
	dup 1 lt {pop 1} if 10 mul /udl exch def} def
/PL {stroke userlinewidth setlinewidth
	Rounded {1 setlinejoin 1 setlinecap} if} def
3.8 setmiterlimit
% Default Line colors
/LCw {1 1 1} def
/LCb {0 0 0} def
/LCa {0 0 0} def
/LC0 {1 0 0} def
/LC1 {0 1 0} def
/LC2 {0 0 1} def
/LC3 {1 0 1} def
/LC4 {0 1 1} def
/LC5 {1 1 0} def
/LC6 {0 0 0} def
/LC7 {1 0.3 0} def
/LC8 {0.5 0.5 0.5} def
% Default Line Types
/LTw {PL [] 1 setgray} def
/LTb {BL [] LCb DL} def
/LTa {AL [1 udl mul 2 udl mul] 0 setdash LCa setrgbcolor} def
/LT0 {PL [] LC0 DL} def
/LT1 {PL [4 dl1 2 dl2] LC1 DL} def
/LT2 {PL [2 dl1 3 dl2] LC2 DL} def
/LT3 {PL [1 dl1 1.5 dl2] LC3 DL} def
/LT4 {PL [6 dl1 2 dl2 1 dl1 2 dl2] LC4 DL} def
/LT5 {PL [3 dl1 3 dl2 1 dl1 3 dl2] LC5 DL} def
/LT6 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC6 DL} def
/LT7 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC7 DL} def
/LT8 {PL [2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 4 dl2] LC8 DL} def
/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def
/Dia {stroke [] 0 setdash 2 copy vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V closepath stroke
  Pnt} def
/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V
  currentpoint stroke M
  hpt neg vpt neg R hpt2 0 V stroke
 } def
/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V closepath stroke
  Pnt} def
/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M
  hpt2 vpt2 neg V currentpoint stroke M
  hpt2 neg 0 R hpt2 vpt2 V stroke} def
/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V closepath stroke
  Pnt} def
/Star {2 copy Pls Crs} def
/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V closepath fill} def
/TriUF {stroke [] 0 setdash vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V closepath fill} def
/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V closepath stroke
  Pnt} def
/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V closepath fill} def
/DiaF {stroke [] 0 setdash vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V closepath fill} def
/Pent {stroke [] 0 setdash 2 copy gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  closepath stroke grestore Pnt} def
/PentF {stroke [] 0 setdash gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  closepath fill grestore} def
/Circle {stroke [] 0 setdash 2 copy
  hpt 0 360 arc stroke Pnt} def
/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def
/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def
/C1 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C2 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C3 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C4 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 180 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C5 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc
	2 copy moveto
	2 copy vpt 180 270 arc closepath fill
	vpt 0 360 arc} bind def
/C6 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C7 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C8 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 270 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C9 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 270 450 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill
	2 copy moveto
	2 copy vpt 90 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C11 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 180 arc closepath fill
	2 copy moveto
	2 copy vpt 270 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C12 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 180 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C13 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc closepath fill
	2 copy moveto
	2 copy vpt 180 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C14 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 360 arc closepath fill
	vpt 0 360 arc} bind def
/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
	neg 0 rlineto closepath} bind def
/Square {dup Rec} bind def
/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def
/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def
/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def
/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def
/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill
	exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
	2 copy vpt Square fill Bsquare} bind def
/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def
/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
	Bsquare} bind def
/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
	Bsquare} bind def
/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def
/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
	2 copy vpt Square fill Bsquare} bind def
/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
	2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def
/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def
/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def
/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def
/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def
/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def
/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def
/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def
/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def
/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def
/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def
/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def
/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def
/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def
/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def
/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def
/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def
/DiaE {stroke [] 0 setdash vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V closepath stroke} def
/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V closepath stroke} def
/TriUE {stroke [] 0 setdash vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V closepath stroke} def
/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V closepath stroke} def
/PentE {stroke [] 0 setdash gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  closepath stroke grestore} def
/CircE {stroke [] 0 setdash 
  hpt 0 360 arc stroke} def
/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def
/DiaW {stroke [] 0 setdash vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V Opaque stroke} def
/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V Opaque stroke} def
/TriUW {stroke [] 0 setdash vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V Opaque stroke} def
/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V Opaque stroke} def
/PentW {stroke [] 0 setdash gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  Opaque stroke grestore} def
/CircW {stroke [] 0 setdash 
  hpt 0 360 arc Opaque stroke} def
/BoxFill {gsave Rec 1 setgray fill grestore} def
/Density {
  /Fillden exch def
  currentrgbcolor
  /ColB exch def /ColG exch def /ColR exch def
  /ColR ColR Fillden mul Fillden sub 1 add def
  /ColG ColG Fillden mul Fillden sub 1 add def
  /ColB ColB Fillden mul Fillden sub 1 add def
  ColR ColG ColB setrgbcolor} def
/BoxColFill {gsave Rec PolyFill} def
/PolyFill {gsave Density fill grestore grestore} def
/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def
%
% PostScript Level 1 Pattern Fill routine for rectangles
% Usage: x y w h s a XX PatternFill
%	x,y = lower left corner of box to be filled
%	w,h = width and height of box
%	  a = angle in degrees between lines and x-axis
%	 XX = 0/1 for no/yes cross-hatch
%
/PatternFill {gsave /PFa [ 9 2 roll ] def
  PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate
  PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec
  gsave 1 setgray fill grestore clip
  currentlinewidth 0.5 mul setlinewidth
  /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def
  0 0 M PFa 5 get rotate PFs -2 div dup translate
  0 1 PFs PFa 4 get div 1 add floor cvi
	{PFa 4 get mul 0 M 0 PFs V} for
  0 PFa 6 get ne {
	0 1 PFs PFa 4 get div 1 add floor cvi
	{PFa 4 get mul 0 2 1 roll M PFs 0 V} for
 } if
  stroke grestore} def
%
/languagelevel where
 {pop languagelevel} {1} ifelse
 2 lt
	{/InterpretLevel1 true def}
	{/InterpretLevel1 Level1 def}
 ifelse
%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8}
	bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} 
>> matrix makepattern
/Pat1 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
	0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke}
>> matrix makepattern
/Pat2 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L
	8 8 L 8 0 L 0 0 L fill}
>> matrix makepattern
/Pat3 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
	0 12 M 12 0 L stroke}
>> matrix makepattern
/Pat4 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
	0 -4 M 12 8 L stroke}
>> matrix makepattern
/Pat5 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
	0 12 M 8 -4 L 4 12 M 10 0 L stroke}
>> matrix makepattern
/Pat6 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
	0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
>> matrix makepattern
/Pat7 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
	12 0 M -4 8 L 12 4 M 0 10 L stroke}
>> matrix makepattern
/Pat8 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
	-4 0 M 12 8 L -4 4 M 8 10 L stroke}
>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
  TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
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correlation_coefficient_Wilson.tex
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equivalence_iwasaki.tex
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equivalence_symanzik.tex
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equivalence_wilson.tex
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Gaussian_Iwasaki.tex
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/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def
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/CircE {stroke [] 0 setdash 
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/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M
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/TriUW {stroke [] 0 setdash vpt 1.12 mul add M
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/PentW {stroke [] 0 setdash gsave
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/CircW {stroke [] 0 setdash 
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/BoxFill {gsave Rec 1 setgray fill grestore} def
/Density {
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  /ColB ColB Fillden mul Fillden sub 1 add def
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/PolyFill {gsave Density fill grestore grestore} def
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%
% PostScript Level 1 Pattern Fill routine for rectangles
% Usage: x y w h s a XX PatternFill
%	x,y = lower left corner of box to be filled
%	w,h = width and height of box
%	  a = angle in degrees between lines and x-axis
%	 XX = 0/1 for no/yes cross-hatch
%
/PatternFill {gsave /PFa [ 9 2 roll ] def
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	{PFa 4 get mul 0 M 0 PFs V} for
  0 PFa 6 get ne {
	0 1 PFs PFa 4 get div 1 add floor cvi
	{PFa 4 get mul 0 2 1 roll M PFs 0 V} for
 } if
  stroke grestore} def
%
/languagelevel where
 {pop languagelevel} {1} ifelse
 2 lt
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%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
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	bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
<< Tile8x8
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>> matrix makepattern
/Pat1 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
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>> matrix makepattern
/Pat2 exch def
<< Tile8x8
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>> matrix makepattern
/Pat3 exch def
<< Tile8x8
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>> matrix makepattern
/Pat4 exch def
<< Tile8x8
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>> matrix makepattern
/Pat5 exch def
<< Tile8x8
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>> matrix makepattern
/Pat6 exch def
<< Tile8x8
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>> matrix makepattern
/Pat7 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
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>> matrix makepattern
/Pat8 exch def
<< Tile8x8
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>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
  TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
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end
showpage
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plot3d_Symanzik.tex
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/LC2 {0 0 1} def
/LC3 {1 0 1} def
/LC4 {0 1 1} def
/LC5 {1 1 0} def
/LC6 {0 0 0} def
/LC7 {1 0.3 0} def
/LC8 {0.5 0.5 0.5} def
% Default Line Types
/LTw {PL [] 1 setgray} def
/LTb {BL [] LCb DL} def
/LTa {AL [1 udl mul 2 udl mul] 0 setdash LCa setrgbcolor} def
/LT0 {PL [] LC0 DL} def
/LT1 {PL [4 dl1 2 dl2] LC1 DL} def
/LT2 {PL [2 dl1 3 dl2] LC2 DL} def
/LT3 {PL [1 dl1 1.5 dl2] LC3 DL} def
/LT4 {PL [6 dl1 2 dl2 1 dl1 2 dl2] LC4 DL} def
/LT5 {PL [3 dl1 3 dl2 1 dl1 3 dl2] LC5 DL} def
/LT6 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC6 DL} def
/LT7 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC7 DL} def
/LT8 {PL [2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 4 dl2] LC8 DL} def
/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def
/Dia {stroke [] 0 setdash 2 copy vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V closepath stroke
  Pnt} def
/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V
  currentpoint stroke M
  hpt neg vpt neg R hpt2 0 V stroke
 } def
/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V closepath stroke
  Pnt} def
/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M
  hpt2 vpt2 neg V currentpoint stroke M
  hpt2 neg 0 R hpt2 vpt2 V stroke} def
/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V closepath stroke
  Pnt} def
/Star {2 copy Pls Crs} def
/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V closepath fill} def
/TriUF {stroke [] 0 setdash vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V closepath fill} def
/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V closepath stroke
  Pnt} def
/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V closepath fill} def
/DiaF {stroke [] 0 setdash vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V closepath fill} def
/Pent {stroke [] 0 setdash 2 copy gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  closepath stroke grestore Pnt} def
/PentF {stroke [] 0 setdash gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  closepath fill grestore} def
/Circle {stroke [] 0 setdash 2 copy
  hpt 0 360 arc stroke Pnt} def
/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def
/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def
/C1 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C2 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C3 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C4 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 180 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C5 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc
	2 copy moveto
	2 copy vpt 180 270 arc closepath fill
	vpt 0 360 arc} bind def
/C6 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C7 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C8 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 270 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C9 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 270 450 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill
	2 copy moveto
	2 copy vpt 90 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C11 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 180 arc closepath fill
	2 copy moveto
	2 copy vpt 270 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C12 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 180 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C13 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc closepath fill
	2 copy moveto
	2 copy vpt 180 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C14 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 360 arc closepath fill
	vpt 0 360 arc} bind def
/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
	neg 0 rlineto closepath} bind def
/Square {dup Rec} bind def
/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def
/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def
/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def
/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def
/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill
	exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
	2 copy vpt Square fill Bsquare} bind def
/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def
/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
	Bsquare} bind def
/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
	Bsquare} bind def
/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def
/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
	2 copy vpt Square fill Bsquare} bind def
/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
	2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def
/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def
/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def
/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def
/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def
/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def
/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def
/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def
/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def
/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def
/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def
/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def
/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def
/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def
/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def
/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def
/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def
/DiaE {stroke [] 0 setdash vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V closepath stroke} def
/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V closepath stroke} def
/TriUE {stroke [] 0 setdash vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V closepath stroke} def
/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V closepath stroke} def
/PentE {stroke [] 0 setdash gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  closepath stroke grestore} def
/CircE {stroke [] 0 setdash 
  hpt 0 360 arc stroke} def
/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def
/DiaW {stroke [] 0 setdash vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V Opaque stroke} def
/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V Opaque stroke} def
/TriUW {stroke [] 0 setdash vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V Opaque stroke} def
/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V Opaque stroke} def
/PentW {stroke [] 0 setdash gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  Opaque stroke grestore} def
/CircW {stroke [] 0 setdash 
  hpt 0 360 arc Opaque stroke} def
/BoxFill {gsave Rec 1 setgray fill grestore} def
/Density {
  /Fillden exch def
  currentrgbcolor
  /ColB exch def /ColG exch def /ColR exch def
  /ColR ColR Fillden mul Fillden sub 1 add def
  /ColG ColG Fillden mul Fillden sub 1 add def
  /ColB ColB Fillden mul Fillden sub 1 add def
  ColR ColG ColB setrgbcolor} def
/BoxColFill {gsave Rec PolyFill} def
/PolyFill {gsave Density fill grestore grestore} def
/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def
%
% PostScript Level 1 Pattern Fill routine for rectangles
% Usage: x y w h s a XX PatternFill
%	x,y = lower left corner of box to be filled
%	w,h = width and height of box
%	  a = angle in degrees between lines and x-axis
%	 XX = 0/1 for no/yes cross-hatch
%
/PatternFill {gsave /PFa [ 9 2 roll ] def
  PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate
  PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec
  gsave 1 setgray fill grestore clip
  currentlinewidth 0.5 mul setlinewidth
  /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def
  0 0 M PFa 5 get rotate PFs -2 div dup translate
  0 1 PFs PFa 4 get div 1 add floor cvi
	{PFa 4 get mul 0 M 0 PFs V} for
  0 PFa 6 get ne {
	0 1 PFs PFa 4 get div 1 add floor cvi
	{PFa 4 get mul 0 2 1 roll M PFs 0 V} for
 } if
  stroke grestore} def
%
/languagelevel where
 {pop languagelevel} {1} ifelse
 2 lt
	{/InterpretLevel1 true def}
	{/InterpretLevel1 Level1 def}
 ifelse
%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8}
	bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} 
>> matrix makepattern
/Pat1 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
	0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke}
>> matrix makepattern
/Pat2 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L
	8 8 L 8 0 L 0 0 L fill}
>> matrix makepattern
/Pat3 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
	0 12 M 12 0 L stroke}
>> matrix makepattern
/Pat4 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
	0 -4 M 12 8 L stroke}
>> matrix makepattern
/Pat5 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
	0 12 M 8 -4 L 4 12 M 10 0 L stroke}
>> matrix makepattern
/Pat6 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
	0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
>> matrix makepattern
/Pat7 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
	12 0 M -4 8 L 12 4 M 0 10 L stroke}
>> matrix makepattern
/Pat8 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
	-4 0 M 12 8 L -4 4 M 8 10 L stroke}
>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
  TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
gnudict begin
gsave
doclip
0 0 translate
0.050 0.050 scale
0 setgray
newpath
gsave % colour palette begin
/maxcolors 0 def
/HSV2RGB {  exch dup 0.0 eq {pop exch pop dup dup} % achromatic gray
  { /HSVs exch def /HSVv exch def 6.0 mul dup floor dup 3 1 roll sub
     /HSVf exch def /HSVi exch cvi def /HSVp HSVv 1.0 HSVs sub mul def
	 /HSVq HSVv 1.0 HSVs HSVf mul sub mul def 
	 /HSVt HSVv 1.0 HSVs 1.0 HSVf sub mul sub mul def
	 /HSVi HSVi 6 mod def 0 HSVi eq {HSVv HSVt HSVp}
	 {1 HSVi eq {HSVq HSVv HSVp}{2 HSVi eq {HSVp HSVv HSVt}
	 {3 HSVi eq {HSVp HSVq HSVv}{4 HSVi eq {HSVt HSVp HSVv}
	 {HSVv HSVp HSVq} ifelse} ifelse} ifelse} ifelse} ifelse
  } ifelse} def
/Constrain {
  dup 0 lt {0 exch pop}{dup 1 gt {1 exch pop} if} ifelse} def
/YIQ2RGB {
  3 copy -1.702 mul exch -1.105 mul add add Constrain 4 1 roll
  3 copy -0.647 mul exch -0.272 mul add add Constrain 5 1 roll
  0.621 mul exch -0.956 mul add add Constrain 3 1 roll } def
/CMY2RGB {  1 exch sub exch 1 exch sub 3 2 roll 1 exch sub 3 1 roll exch } def
/XYZ2RGB {  3 copy -0.9017 mul exch -0.1187 mul add exch 0.0585 mul exch add
  Constrain 4 1 roll 3 copy -0.0279 mul exch 1.999 mul add exch
  -0.9844 mul add Constrain 5 1 roll -0.2891 mul exch -0.5338 mul add
  exch 1.91 mul exch add Constrain 3 1 roll} def
/SelectSpace {ColorSpace (HSV) eq {HSV2RGB}{ColorSpace (XYZ) eq {
  XYZ2RGB}{ColorSpace (CMY) eq {CMY2RGB}{ColorSpace (YIQ) eq {YIQ2RGB}
  if} ifelse} ifelse} ifelse} def
/InterpolatedColor false def
/cF7 {sqrt} bind def	% sqrt(x)
/cF5 {dup dup mul mul} bind def	% x^3
/cF15 {360 mul sin} bind def	% sin(360x)
/pm3dround {maxcolors 0 gt {dup 1 ge
	{pop 1} {maxcolors mul floor maxcolors 1 sub div} ifelse} if} def
/pm3dGamma 1.0 1.5 Gamma mul div def
/ColorSpace (RGB) def
Color InterpolatedColor or { % COLOUR vs. GRAY map
  InterpolatedColor { %% Interpolation vs. RGB-Formula
    /g {stroke pm3dround /grayv exch def interpolate
        SelectSpace setrgbcolor} bind def
  }{
  /g {stroke pm3dround dup cF7 Constrain exch dup cF5 Constrain exch cF15 Constrain 
       SelectSpace setrgbcolor} bind def
  } ifelse
}{
  /g {stroke pm3dround pm3dGamma exp setgray} bind def
} ifelse
1.000 UL
LTb
1.000 UP
%pm3d_map_begin
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/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8}
	bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} 
>> matrix makepattern
/Pat1 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
	0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke}
>> matrix makepattern
/Pat2 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L
	8 8 L 8 0 L 0 0 L fill}
>> matrix makepattern
/Pat3 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
	0 12 M 12 0 L stroke}
>> matrix makepattern
/Pat4 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
	0 -4 M 12 8 L stroke}
>> matrix makepattern
/Pat5 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
	0 12 M 8 -4 L 4 12 M 10 0 L stroke}
>> matrix makepattern
/Pat6 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
	0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
>> matrix makepattern
/Pat7 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
	12 0 M -4 8 L 12 4 M 0 10 L stroke}
>> matrix makepattern
/Pat8 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
	-4 0 M 12 8 L -4 4 M 8 10 L stroke}
>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
  TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
gnudict begin
gsave
doclip
0 0 translate
0.050 0.050 scale
0 setgray
newpath
gsave % colour palette begin
/maxcolors 0 def
/HSV2RGB {  exch dup 0.0 eq {pop exch pop dup dup} % achromatic gray
  { /HSVs exch def /HSVv exch def 6.0 mul dup floor dup 3 1 roll sub
     /HSVf exch def /HSVi exch cvi def /HSVp HSVv 1.0 HSVs sub mul def
	 /HSVq HSVv 1.0 HSVs HSVf mul sub mul def 
	 /HSVt HSVv 1.0 HSVs 1.0 HSVf sub mul sub mul def
	 /HSVi HSVi 6 mod def 0 HSVi eq {HSVv HSVt HSVp}
	 {1 HSVi eq {HSVq HSVv HSVp}{2 HSVi eq {HSVp HSVv HSVt}
	 {3 HSVi eq {HSVp HSVq HSVv}{4 HSVi eq {HSVt HSVp HSVv}
	 {HSVv HSVp HSVq} ifelse} ifelse} ifelse} ifelse} ifelse
  } ifelse} def
/Constrain {
  dup 0 lt {0 exch pop}{dup 1 gt {1 exch pop} if} ifelse} def
/YIQ2RGB {
  3 copy -1.702 mul exch -1.105 mul add add Constrain 4 1 roll
  3 copy -0.647 mul exch -0.272 mul add add Constrain 5 1 roll
  0.621 mul exch -0.956 mul add add Constrain 3 1 roll } def
/CMY2RGB {  1 exch sub exch 1 exch sub 3 2 roll 1 exch sub 3 1 roll exch } def
/XYZ2RGB {  3 copy -0.9017 mul exch -0.1187 mul add exch 0.0585 mul exch add
  Constrain 4 1 roll 3 copy -0.0279 mul exch 1.999 mul add exch
  -0.9844 mul add Constrain 5 1 roll -0.2891 mul exch -0.5338 mul add
  exch 1.91 mul exch add Constrain 3 1 roll} def
/SelectSpace {ColorSpace (HSV) eq {HSV2RGB}{ColorSpace (XYZ) eq {
  XYZ2RGB}{ColorSpace (CMY) eq {CMY2RGB}{ColorSpace (YIQ) eq {YIQ2RGB}
  if} ifelse} ifelse} ifelse} def
/InterpolatedColor false def
/cF7 {sqrt} bind def	% sqrt(x)
/cF5 {dup dup mul mul} bind def	% x^3
/cF15 {360 mul sin} bind def	% sin(360x)
/pm3dround {maxcolors 0 gt {dup 1 ge
	{pop 1} {maxcolors mul floor maxcolors 1 sub div} ifelse} if} def
/pm3dGamma 1.0 1.5 Gamma mul div def
/ColorSpace (RGB) def
Color InterpolatedColor or { % COLOUR vs. GRAY map
  InterpolatedColor { %% Interpolation vs. RGB-Formula
    /g {stroke pm3dround /grayv exch def interpolate
        SelectSpace setrgbcolor} bind def
  }{
  /g {stroke pm3dround dup cF7 Constrain exch dup cF5 Constrain exch cF15 Constrain 
       SelectSpace setrgbcolor} bind def
  } ifelse
}{
  /g {stroke pm3dround pm3dGamma exp setgray} bind def
} ifelse
1.000 UL
LTb
1.000 UP
%pm3d_map_begin
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plot_fit_gaussian_iwasaki.tex
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/LTa {AL [1 udl mul 2 udl mul] 0 setdash LCa setrgbcolor} def
/LT0 {PL [] LC0 DL} def
/LT1 {PL [4 dl1 2 dl2] LC1 DL} def
/LT2 {PL [2 dl1 3 dl2] LC2 DL} def
/LT3 {PL [1 dl1 1.5 dl2] LC3 DL} def
/LT4 {PL [6 dl1 2 dl2 1 dl1 2 dl2] LC4 DL} def
/LT5 {PL [3 dl1 3 dl2 1 dl1 3 dl2] LC5 DL} def
/LT6 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC6 DL} def
/LT7 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC7 DL} def
/LT8 {PL [2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 4 dl2] LC8 DL} def
/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def
/Dia {stroke [] 0 setdash 2 copy vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V closepath stroke
  Pnt} def
/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V
  currentpoint stroke M
  hpt neg vpt neg R hpt2 0 V stroke
 } def
/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V closepath stroke
  Pnt} def
/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M
  hpt2 vpt2 neg V currentpoint stroke M
  hpt2 neg 0 R hpt2 vpt2 V stroke} def
/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V closepath stroke
  Pnt} def
/Star {2 copy Pls Crs} def
/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V closepath fill} def
/TriUF {stroke [] 0 setdash vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V closepath fill} def
/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V closepath stroke
  Pnt} def
/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V closepath fill} def
/DiaF {stroke [] 0 setdash vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V closepath fill} def
/Pent {stroke [] 0 setdash 2 copy gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  closepath stroke grestore Pnt} def
/PentF {stroke [] 0 setdash gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  closepath fill grestore} def
/Circle {stroke [] 0 setdash 2 copy
  hpt 0 360 arc stroke Pnt} def
/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def
/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def
/C1 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C2 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C3 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C4 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 180 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C5 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc
	2 copy moveto
	2 copy vpt 180 270 arc closepath fill
	vpt 0 360 arc} bind def
/C6 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C7 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C8 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 270 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C9 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 270 450 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill
	2 copy moveto
	2 copy vpt 90 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C11 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 180 arc closepath fill
	2 copy moveto
	2 copy vpt 270 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C12 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 180 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C13 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc closepath fill
	2 copy moveto
	2 copy vpt 180 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C14 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 360 arc closepath fill
	vpt 0 360 arc} bind def
/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
	neg 0 rlineto closepath} bind def
/Square {dup Rec} bind def
/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def
/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def
/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def
/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def
/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill
	exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
	2 copy vpt Square fill Bsquare} bind def
/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def
/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
	Bsquare} bind def
/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
	Bsquare} bind def
/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def
/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
	2 copy vpt Square fill Bsquare} bind def
/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
	2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def
/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def
/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def
/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def
/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def
/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def
/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def
/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def
/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def
/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def
/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def
/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def
/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def
/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def
/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def
/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def
/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def
/DiaE {stroke [] 0 setdash vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V closepath stroke} def
/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V closepath stroke} def
/TriUE {stroke [] 0 setdash vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V closepath stroke} def
/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V closepath stroke} def
/PentE {stroke [] 0 setdash gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  closepath stroke grestore} def
/CircE {stroke [] 0 setdash 
  hpt 0 360 arc stroke} def
/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def
/DiaW {stroke [] 0 setdash vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V Opaque stroke} def
/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V Opaque stroke} def
/TriUW {stroke [] 0 setdash vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V Opaque stroke} def
/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V Opaque stroke} def
/PentW {stroke [] 0 setdash gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  Opaque stroke grestore} def
/CircW {stroke [] 0 setdash 
  hpt 0 360 arc Opaque stroke} def
/BoxFill {gsave Rec 1 setgray fill grestore} def
/Density {
  /Fillden exch def
  currentrgbcolor
  /ColB exch def /ColG exch def /ColR exch def
  /ColR ColR Fillden mul Fillden sub 1 add def
  /ColG ColG Fillden mul Fillden sub 1 add def
  /ColB ColB Fillden mul Fillden sub 1 add def
  ColR ColG ColB setrgbcolor} def
/BoxColFill {gsave Rec PolyFill} def
/PolyFill {gsave Density fill grestore grestore} def
/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def
%
% PostScript Level 1 Pattern Fill routine for rectangles
% Usage: x y w h s a XX PatternFill
%	x,y = lower left corner of box to be filled
%	w,h = width and height of box
%	  a = angle in degrees between lines and x-axis
%	 XX = 0/1 for no/yes cross-hatch
%
/PatternFill {gsave /PFa [ 9 2 roll ] def
  PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate
  PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec
  gsave 1 setgray fill grestore clip
  currentlinewidth 0.5 mul setlinewidth
  /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def
  0 0 M PFa 5 get rotate PFs -2 div dup translate
  0 1 PFs PFa 4 get div 1 add floor cvi
	{PFa 4 get mul 0 M 0 PFs V} for
  0 PFa 6 get ne {
	0 1 PFs PFa 4 get div 1 add floor cvi
	{PFa 4 get mul 0 2 1 roll M PFs 0 V} for
 } if
  stroke grestore} def
%
/languagelevel where
 {pop languagelevel} {1} ifelse
 2 lt
	{/InterpretLevel1 true def}
	{/InterpretLevel1 Level1 def}
 ifelse
%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8}
	bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} 
>> matrix makepattern
/Pat1 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
	0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke}
>> matrix makepattern
/Pat2 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L
	8 8 L 8 0 L 0 0 L fill}
>> matrix makepattern
/Pat3 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
	0 12 M 12 0 L stroke}
>> matrix makepattern
/Pat4 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
	0 -4 M 12 8 L stroke}
>> matrix makepattern
/Pat5 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
	0 12 M 8 -4 L 4 12 M 10 0 L stroke}
>> matrix makepattern
/Pat6 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
	0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
>> matrix makepattern
/Pat7 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
	12 0 M -4 8 L 12 4 M 0 10 L stroke}
>> matrix makepattern
/Pat8 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
	-4 0 M 12 8 L -4 4 M 8 10 L stroke}
>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
  TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
gnudict begin
gsave
doclip
0 0 translate
0.050 0.050 scale
0 setgray
newpath
1.000 UL
LTb
1830 640 M
63 0 V
4096 0 R
-63 0 V
1830 1333 M
63 0 V
4096 0 R
-63 0 V
1830 2026 M
63 0 V
4096 0 R
-63 0 V
1830 2720 M
63 0 V
4096 0 R
-63 0 V
1830 3413 M
63 0 V
4096 0 R
-63 0 V
1830 4106 M
63 0 V
4096 0 R
-63 0 V
1830 4799 M
63 0 V
4096 0 R
-63 0 V
2246 640 M
0 63 V
0 4096 R
0 -63 V
3078 640 M
0 63 V
0 4096 R
0 -63 V
3910 640 M
0 63 V
0 4096 R
0 -63 V
4741 640 M
0 63 V
0 4096 R
0 -63 V
5573 640 M
0 63 V
0 4096 R
0 -63 V
stroke
1830 4799 N
0 -4159 V
4159 0 V
0 4159 V
-4159 0 V
Z stroke
LCb setrgbcolor
LTb
LCb setrgbcolor
LTb
1.000 UP
1.000 UL
LTb
1.000 UL
LT0
LCb setrgbcolor
LT0
5206 4586 543 100 40 30 0 PatternFill
5206 4586 N
543 0 V
0 100 V
-543 0 V
0 -100 V
Z stroke
LT0
gsave 1830 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 1872 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 1914 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 1956 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 1998 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2040 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2082 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2124 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2166 640 N 0 0 V 42 0 V 0 1 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2208 641 N 0 -1 V 42 1 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2250 641 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2292 641 N 0 0 V 42 0 V 0 1 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2334 642 N 0 -1 V 42 1 V 0 1 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2376 643 N 0 -1 V 42 1 V 0 1 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2418 644 N 0 -1 V 42 1 V 0 2 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2460 646 N 0 -2 V 42 2 V 0 2 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2502 648 N 0 -2 V 42 3 V 0 3 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2544 652 N 0 -3 V 42 4 V 0 3 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2586 656 N 0 -3 V 42 5 V 0 5 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2628 663 N 0 -5 V 42 6 V 0 7 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2670 671 N 0 -7 V 42 9 V 0 9 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2712 682 N 0 -9 V 42 12 V 0 10 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2754 695 N 0 -10 V 42 15 V 0 13 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2796 713 N 0 -13 V 42 19 V 0 17 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2838 736 N 0 -17 V 42 25 V 0 20 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2880 764 N 0 -20 V 42 30 V 0 24 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2922 798 N 0 -24 V 42 38 V 0 29 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2964 841 N 0 -29 V 42 46 V 0 34 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3006 892 N 0 -34 V 42 55 V 0 39 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3048 952 N 0 -39 V 42 65 V 0 45 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3090 1023 N 0 -45 V 42 77 V 0 51 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3132 1106 N 0 -51 V 42 89 V 0 57 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3174 1201 N 0 -57 V 42 101 V 0 63 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3216 1308 N 0 -63 V 42 113 V 0 70 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3258 1428 N 0 -70 V 42 126 V 0 75 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3300 1559 N 0 -75 V 42 137 V 0 81 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3342 1702 N 0 -81 V 42 148 V 0 84 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3384 1853 N 0 -84 V 42 155 V 0 89 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3426 2013 N 0 -89 V 42 161 V 0 92 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3468 2177 N 0 -92 V 42 164 V 0 95 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3510 2344 N 0 -95 V 42 164 V 0 96 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3552 2509 N 0 -96 V 42 159 V 0 97 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3594 2669 N 0 -97 V 42 151 V 0 98 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3636 2821 N 0 -98 V 42 139 V 0 98 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3678 2960 N 0 -98 V 42 123 V 0 97 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3720 3082 N 0 -97 V 42 103 V 0 97 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3762 3185 N 0 -97 V 42 80 V 0 96 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3804 3264 N 0 -96 V 42 55 V 0 96 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3846 3319 N 0 -96 V 42 28 V 0 96 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3888 3347 N 0 -96 V 43 0 V 0 96 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3931 3347 N 0 -96 V 42 -28 V 0 96 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3973 3319 N 0 -96 V 42 -55 V 0 96 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4015 3264 N 0 -96 V 42 -80 V 0 97 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4057 3185 N 0 -97 V 42 -103 V 0 97 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4099 3082 N 0 -97 V 42 -123 V 0 98 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4141 2960 N 0 -98 V 42 -139 V 0 98 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4183 2821 N 0 -98 V 42 -151 V 0 97 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4225 2669 N 0 -97 V 42 -159 V 0 96 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4267 2509 N 0 -96 V 42 -164 V 0 95 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4309 2344 N 0 -95 V 42 -164 V 0 92 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4351 2177 N 0 -92 V 42 -161 V 0 89 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4393 2013 N 0 -89 V 42 -155 V 0 84 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4435 1853 N 0 -84 V 42 -148 V 0 81 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4477 1702 N 0 -81 V 42 -137 V 0 75 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4519 1559 N 0 -75 V 42 -126 V 0 70 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4561 1428 N 0 -70 V 42 -113 V 0 63 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4603 1308 N 0 -63 V 42 -101 V 0 57 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4645 1201 N 0 -57 V 42 -89 V 0 51 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4687 1106 N 0 -51 V 42 -77 V 0 45 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4729 1023 N 0 -45 V 42 -65 V 0 39 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4771 952 N 0 -39 V 42 -55 V 0 34 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4813 892 N 0 -34 V 42 -46 V 0 29 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4855 841 N 0 -29 V 42 -38 V 0 24 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4897 798 N 0 -24 V 42 -30 V 0 20 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4939 764 N 0 -20 V 42 -25 V 0 17 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4981 736 N 0 -17 V 42 -19 V 0 13 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5023 713 N 0 -13 V 42 -15 V 0 10 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5065 695 N 0 -10 V 42 -12 V 0 9 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5107 682 N 0 -9 V 42 -9 V 0 7 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5149 671 N 0 -7 V 42 -6 V 0 5 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5191 663 N 0 -5 V 42 -5 V 0 3 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5233 656 N 0 -3 V 42 -4 V 0 3 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5275 652 N 0 -3 V 42 -3 V 0 2 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5317 648 N 0 -2 V 42 -2 V 0 2 V /TransparentPatterns true def
 Pattern6 fill grestore
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/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def
/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def
/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def
/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def
/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def
/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def
/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def
/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def
/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def
/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def
/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def
/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def
/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def
/DiaE {stroke [] 0 setdash vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V closepath stroke} def
/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V closepath stroke} def
/TriUE {stroke [] 0 setdash vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V closepath stroke} def
/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V closepath stroke} def
/PentE {stroke [] 0 setdash gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  closepath stroke grestore} def
/CircE {stroke [] 0 setdash 
  hpt 0 360 arc stroke} def
/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def
/DiaW {stroke [] 0 setdash vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V Opaque stroke} def
/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V Opaque stroke} def
/TriUW {stroke [] 0 setdash vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V Opaque stroke} def
/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V Opaque stroke} def
/PentW {stroke [] 0 setdash gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  Opaque stroke grestore} def
/CircW {stroke [] 0 setdash 
  hpt 0 360 arc Opaque stroke} def
/BoxFill {gsave Rec 1 setgray fill grestore} def
/Density {
  /Fillden exch def
  currentrgbcolor
  /ColB exch def /ColG exch def /ColR exch def
  /ColR ColR Fillden mul Fillden sub 1 add def
  /ColG ColG Fillden mul Fillden sub 1 add def
  /ColB ColB Fillden mul Fillden sub 1 add def
  ColR ColG ColB setrgbcolor} def
/BoxColFill {gsave Rec PolyFill} def
/PolyFill {gsave Density fill grestore grestore} def
/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def
%
% PostScript Level 1 Pattern Fill routine for rectangles
% Usage: x y w h s a XX PatternFill
%	x,y = lower left corner of box to be filled
%	w,h = width and height of box
%	  a = angle in degrees between lines and x-axis
%	 XX = 0/1 for no/yes cross-hatch
%
/PatternFill {gsave /PFa [ 9 2 roll ] def
  PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate
  PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec
  gsave 1 setgray fill grestore clip
  currentlinewidth 0.5 mul setlinewidth
  /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def
  0 0 M PFa 5 get rotate PFs -2 div dup translate
  0 1 PFs PFa 4 get div 1 add floor cvi
	{PFa 4 get mul 0 M 0 PFs V} for
  0 PFa 6 get ne {
	0 1 PFs PFa 4 get div 1 add floor cvi
	{PFa 4 get mul 0 2 1 roll M PFs 0 V} for
 } if
  stroke grestore} def
%
/languagelevel where
 {pop languagelevel} {1} ifelse
 2 lt
	{/InterpretLevel1 true def}
	{/InterpretLevel1 Level1 def}
 ifelse
%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8}
	bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} 
>> matrix makepattern
/Pat1 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
	0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke}
>> matrix makepattern
/Pat2 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L
	8 8 L 8 0 L 0 0 L fill}
>> matrix makepattern
/Pat3 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
	0 12 M 12 0 L stroke}
>> matrix makepattern
/Pat4 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
	0 -4 M 12 8 L stroke}
>> matrix makepattern
/Pat5 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
	0 12 M 8 -4 L 4 12 M 10 0 L stroke}
>> matrix makepattern
/Pat6 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
	0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
>> matrix makepattern
/Pat7 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
	12 0 M -4 8 L 12 4 M 0 10 L stroke}
>> matrix makepattern
/Pat8 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
	-4 0 M 12 8 L -4 4 M 8 10 L stroke}
>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
  TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
gnudict begin
gsave
doclip
0 0 translate
0.050 0.050 scale
0 setgray
newpath
1.000 UL
LTb
1830 640 M
63 0 V
4096 0 R
-63 0 V
1830 1333 M
63 0 V
4096 0 R
-63 0 V
1830 2026 M
63 0 V
4096 0 R
-63 0 V
1830 2720 M
63 0 V
4096 0 R
-63 0 V
1830 3413 M
63 0 V
4096 0 R
-63 0 V
1830 4106 M
63 0 V
4096 0 R
-63 0 V
1830 4799 M
63 0 V
4096 0 R
-63 0 V
2246 640 M
0 63 V
0 4096 R
0 -63 V
3078 640 M
0 63 V
0 4096 R
0 -63 V
3910 640 M
0 63 V
0 4096 R
0 -63 V
4741 640 M
0 63 V
0 4096 R
0 -63 V
5573 640 M
0 63 V
0 4096 R
0 -63 V
stroke
1830 4799 N
0 -4159 V
4159 0 V
0 4159 V
-4159 0 V
Z stroke
LCb setrgbcolor
LTb
LCb setrgbcolor
LTb
1.000 UP
1.000 UL
LTb
1.000 UL
LT0
LCb setrgbcolor
LT0
5206 4586 543 100 40 30 0 PatternFill
5206 4586 N
543 0 V
0 100 V
-543 0 V
0 -100 V
Z stroke
LT0
gsave 1830 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 1872 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 1914 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 1956 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 1998 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2040 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2082 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2124 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2166 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2208 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2250 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2292 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2334 640 N 0 0 V 42 0 V 0 1 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2376 641 N 0 -1 V 42 1 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2418 641 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2460 641 N 0 0 V 42 1 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2502 642 N 0 0 V 42 0 V 0 2 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2544 644 N 0 -2 V 42 2 V 0 1 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2586 645 N 0 -1 V 42 2 V 0 2 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2628 648 N 0 -2 V 42 3 V 0 3 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 2670 652 N 0 -3 V 42 4 V 0 4 V /TransparentPatterns true def
 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
gsave 3174 1066 N 0 -50 V 42 96 V 0 58 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3216 1170 N 0 -58 V 42 113 V 0 65 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3258 1290 N 0 -65 V 42 130 V 0 73 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3300 1428 N 0 -73 V 42 147 V 0 81 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3342 1583 N 0 -81 V 42 164 V 0 87 V /TransparentPatterns true def
 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
gsave 3510 2339 N 0 -103 V 42 204 V 0 106 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3552 2546 N 0 -106 V 42 203 V 0 109 V /TransparentPatterns true def
 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
gsave 3678 3134 N 0 -110 V 42 165 V 0 110 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3720 3299 N 0 -110 V 42 140 V 0 109 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3762 3438 N 0 -109 V 42 110 V 0 109 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3804 3548 N 0 -109 V 42 76 V 0 108 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3846 3623 N 0 -108 V 42 39 V 0 108 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3888 3662 N 0 -108 V 43 0 V 0 108 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3931 3662 N 0 -108 V 42 -39 V 0 108 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 3973 3623 N 0 -108 V 42 -76 V 0 109 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4015 3548 N 0 -109 V 42 -110 V 0 109 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4057 3438 N 0 -109 V 42 -140 V 0 110 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4099 3299 N 0 -110 V 42 -165 V 0 110 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4141 3134 N 0 -110 V 42 -184 V 0 109 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4183 2949 N 0 -109 V 42 -197 V 0 109 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4225 2752 N 0 -109 V 42 -203 V 0 106 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4267 2546 N 0 -106 V 42 -204 V 0 103 V /TransparentPatterns true def
 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
gsave 4603 1170 N 0 -58 V 42 -96 V 0 50 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4645 1066 N 0 -50 V 42 -80 V 0 43 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4687 979 N 0 -43 V 42 -67 V 0 36 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4729 905 N 0 -36 V 42 -54 V 0 31 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 4771 846 N 0 -31 V 42 -43 V 0 25 V /TransparentPatterns true def
 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
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 Pattern6 fill grestore
gsave 5023 674 N 0 -7 V 42 -8 V 0 5 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5065 664 N 0 -5 V 42 -6 V 0 4 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5107 657 N 0 -4 V 42 -4 V 0 3 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5149 652 N 0 -3 V 42 -3 V 0 2 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5191 648 N 0 -2 V 42 -2 V 0 1 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5233 645 N 0 -1 V 42 -2 V 0 2 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5275 644 N 0 -2 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5317 642 N 0 0 V 42 -1 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5359 641 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5401 641 N 0 0 V 42 -1 V 0 1 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5443 641 N 0 -1 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5485 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5527 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5569 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5611 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5653 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5695 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5737 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5779 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5821 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5863 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5905 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
gsave 5947 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern6 fill grestore
1.000 UL
LT2
LCb setrgbcolor
LT2
5206 4386 543 100 40 -30 0 PatternFill
5206 4386 N
543 0 V
0 100 V
-543 0 V
0 -100 V
Z stroke
LT2
gsave 1830 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 1872 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 1914 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 1956 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 1998 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 2040 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 2082 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 2124 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 2166 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 2208 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 2250 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 2292 640 N 0 0 V 42 0 V 0 0 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 2334 640 N 0 0 V 42 0 V 0 1 V /TransparentPatterns true def
 Pattern7 fill grestore
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 Pattern7 fill grestore
gsave 2418 641 N 0 0 V 42 0 V 0 1 V /TransparentPatterns true def
 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
gsave 3552 2550 N 0 -106 V 42 202 V 0 108 V /TransparentPatterns true def
 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
gsave 3804 3543 N 0 -109 V 42 75 V 0 108 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 3846 3617 N 0 -108 V 42 39 V 0 107 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 3888 3655 N 0 -107 V 43 0 V 0 107 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 3931 3655 N 0 -107 V 42 -39 V 0 108 V /TransparentPatterns true def
 Pattern7 fill grestore
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 Pattern7 fill grestore
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 Pattern7 fill grestore
gsave 4057 3434 N 0 -109 V 42 -139 V 0 110 V /TransparentPatterns true def
 Pattern7 fill grestore
gsave 4099 3296 N 0 -110 V 42 -163 V 0 110 V /TransparentPatterns true def
 Pattern7 fill grestore
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 Pattern7 fill grestore
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plot_iwasaki_average_action_b55.tex
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/C2 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C3 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C4 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 180 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C5 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc
	2 copy moveto
	2 copy vpt 180 270 arc closepath fill
	vpt 0 360 arc} bind def
/C6 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C7 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 270 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C8 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 270 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C9 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 270 450 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill
	2 copy moveto
	2 copy vpt 90 180 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C11 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 180 arc closepath fill
	2 copy moveto
	2 copy vpt 270 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C12 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 180 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C13 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 0 90 arc closepath fill
	2 copy moveto
	2 copy vpt 180 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/C14 {BL [] 0 setdash 2 copy moveto
	2 copy vpt 90 360 arc closepath fill
	vpt 0 360 arc} bind def
/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill
	vpt 0 360 arc closepath} bind def
/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
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/Square {dup Rec} bind def
/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def
/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def
/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def
/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def
/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill
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/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
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/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def
/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
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/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
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/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def
/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
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/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
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%
% PostScript Level 1 Pattern Fill routine for rectangles
% Usage: x y w h s a XX PatternFill
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%	w,h = width and height of box
%	  a = angle in degrees between lines and x-axis
%	 XX = 0/1 for no/yes cross-hatch
%
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  0 PFa 6 get ne {
	0 1 PFs PFa 4 get div 1 add floor cvi
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  stroke grestore} def
%
/languagelevel where
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 2 lt
	{/InterpretLevel1 true def}
	{/InterpretLevel1 Level1 def}
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%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8}
	bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
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/Pat1 exch def
<< Tile8x8
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>> matrix makepattern
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<< Tile8x8
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>> matrix makepattern
/Pat3 exch def
<< Tile8x8
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>> matrix makepattern
/Pat4 exch def
<< Tile8x8
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>> matrix makepattern
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<< Tile8x8
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<< Tile8x8
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>> matrix makepattern
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<< Tile8x8
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>> matrix makepattern
/Pat8 exch def
<< Tile8x8
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>> matrix makepattern
/Pat9 exch def
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/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
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} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
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/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
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plot_iwasaki_nc.tex
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plot_sampling.tex
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stroke 612 1341 M
2 178 V
3 -43 V
2 180 V
2 44 V
3 42 V
2 5 V
3 -178 V
2 308 V
2 -222 V
3 -133 V
2 -182 V
3 91 V
2 -1 V
2 1 V
3 -90 V
2 -129 V
3 83 V
2 0 V
2 -360 V
3 451 V
2 69 V
3 66 V
2 87 V
2 184 V
3 -48 V
2 -178 V
3 -45 V
2 0 V
2 -43 V
3 134 V
2 -178 V
3 -133 V
2 41 V
2 -4 V
3 3 V
2 3 V
3 46 V
2 46 V
2 83 V
3 -263 V
2 399 V
3 -54 V
2 -125 V
2 -179 V
3 128 V
2 98 V
3 -178 V
2 134 V
2 86 V
3 23 V
2 -294 V
3 137 V
2 90 V
2 -181 V
3 -216 V
2 310 V
3 9 V
2 -5 V
2 20 V
3 61 V
2 45 V
3 66 V
2 -21 V
2 -135 V
3 -87 V
2 33 V
3 11 V
2 127 V
2 -127 V
3 89 V
2 -45 V
3 4 V
2 -47 V
2 127 V
3 4 V
2 -267 V
3 -2 V
2 -224 V
2 224 V
3 93 V
2 488 V
3 -83 V
2 -47 V
2 57 V
3 -99 V
2 -87 V
3 174 V
2 45 V
2 -210 V
3 -55 V
2 -48 V
3 5 V
2 -3 V
2 -45 V
3 -41 V
2 -50 V
3 179 V
2 -44 V
2 134 V
3 -134 V
2 71 V
3 72 V
2 -10 V
2 -122 V
stroke 861 1534 M
3 -53 V
2 -52 V
3 -36 V
2 43 V
2 -53 V
3 -133 V
2 206 V
3 17 V
2 -38 V
2 88 V
3 91 V
2 -49 V
3 179 V
2 -2 V
2 -88 V
3 -132 V
2 45 V
3 90 V
2 -45 V
2 0 V
3 -89 V
2 134 V
3 94 V
2 88 V
2 179 V
3 -90 V
2 -136 V
3 -171 V
2 263 V
2 221 V
3 -312 V
2 3 V
3 -86 V
2 -12 V
2 3 V
3 -1 V
2 137 V
3 -135 V
2 -45 V
2 -14 V
3 14 V
2 -360 V
3 265 V
2 48 V
2 -130 V
3 -134 V
2 -90 V
3 6 V
2 -13 V
2 45 V
3 49 V
2 6 V
3 202 V
2 -31 V
2 45 V
3 138 V
2 -136 V
3 -47 V
2 135 V
2 2 V
3 -45 V
2 -178 V
2 130 V
3 -39 V
2 130 V
3 -182 V
2 183 V
2 -180 V
3 -50 V
2 12 V
3 39 V
2 -224 V
2 -47 V
3 178 V
2 -45 V
3 48 V
2 3 V
2 -93 V
3 4 V
2 34 V
3 -112 V
2 278 V
2 -70 V
3 46 V
2 88 V
3 44 V
2 90 V
2 -132 V
3 -42 V
2 177 V
3 -88 V
2 45 V
2 -138 V
3 -36 V
2 36 V
3 -66 V
2 155 V
2 1 V
3 43 V
2 2 V
3 -46 V
2 -130 V
2 168 V
3 -81 V
stroke 1111 1567 M
2 -2 V
3 -46 V
2 -135 V
2 -7 V
3 5 V
2 2 V
3 132 V
2 -87 V
2 163 V
3 -117 V
2 91 V
3 0 V
2 -219 V
2 305 V
3 -269 V
2 46 V
3 182 V
2 -46 V
2 1 V
3 45 V
2 -401 V
3 175 V
2 221 V
2 94 V
3 -89 V
2 -93 V
3 -129 V
2 131 V
2 44 V
3 -179 V
2 91 V
3 180 V
2 -46 V
2 -49 V
3 -84 V
2 84 V
3 50 V
2 -137 V
2 -134 V
3 179 V
2 -180 V
3 44 V
2 2 V
2 -44 V
3 45 V
2 -80 V
3 -22 V
2 63 V
2 -51 V
3 -5 V
2 -44 V
3 -129 V
2 86 V
2 -134 V
3 131 V
2 -128 V
3 86 V
2 45 V
2 -91 V
3 233 V
2 -131 V
3 33 V
2 47 V
2 44 V
3 -44 V
2 -180 V
3 0 V
2 -92 V
2 34 V
3 147 V
2 91 V
3 43 V
2 -43 V
2 -183 V
3 46 V
2 -5 V
3 -211 V
2 117 V
2 145 V
3 -46 V
2 86 V
3 -42 V
2 -132 V
2 197 V
3 253 V
2 44 V
3 89 V
2 47 V
2 -88 V
3 -49 V
2 -168 V
3 257 V
2 -132 V
2 89 V
3 -187 V
2 -36 V
3 1 V
2 -91 V
2 79 V
3 126 V
2 -251 V
3 86 V
2 174 V
2 -35 V
stroke 1360 1475 M
3 -100 V
2 -81 V
3 -138 V
2 140 V
2 43 V
3 -44 V
2 46 V
3 44 V
2 2 V
2 11 V
3 7 V
2 69 V
3 1 V
2 -134 V
2 229 V
3 -188 V
2 1 V
3 47 V
2 44 V
2 -272 V
3 53 V
2 40 V
3 -141 V
2 4 V
2 89 V
3 -42 V
2 88 V
3 -131 V
2 177 V
2 -88 V
3 -60 V
2 15 V
3 44 V
2 -45 V
2 88 V
3 93 V
2 0 V
2 -79 V
3 41 V
2 173 V
3 6 V
2 -93 V
2 89 V
3 -184 V
2 220 V
3 47 V
2 -224 V
2 93 V
3 268 V
2 -87 V
3 47 V
2 -46 V
2 -134 V
3 -44 V
2 -47 V
3 43 V
2 -43 V
2 -49 V
3 -36 V
2 45 V
3 43 V
2 134 V
2 -56 V
3 -128 V
2 219 V
3 -50 V
2 103 V
2 -266 V
3 -95 V
2 41 V
3 1 V
2 47 V
2 86 V
3 -89 V
2 -86 V
3 45 V
2 -177 V
2 -4 V
3 46 V
2 -135 V
3 5 V
2 129 V
2 -94 V
3 -90 V
2 228 V
3 -46 V
2 220 V
2 -35 V
3 -138 V
2 -91 V
3 180 V
2 46 V
2 -147 V
3 14 V
2 10 V
3 273 V
2 122 V
2 2 V
3 41 V
2 -86 V
3 4 V
2 -9 V
2 183 V
3 -274 V
stroke 1610 1518 M
2 7 V
3 38 V
2 -31 V
2 -67 V
3 51 V
2 134 V
3 -219 V
2 0 V
2 240 V
3 -198 V
2 92 V
3 44 V
2 -45 V
2 -46 V
3 -131 V
2 -3 V
3 139 V
2 -173 V
2 33 V
3 -45 V
2 -46 V
3 -92 V
2 44 V
2 -85 V
3 44 V
2 39 V
3 11 V
2 87 V
2 -180 V
3 1 V
2 -23 V
3 69 V
2 108 V
2 -110 V
3 50 V
2 -3 V
3 224 V
2 -90 V
2 -95 V
3 6 V
2 38 V
3 84 V
2 51 V
2 -41 V
3 129 V
2 3 V
3 94 V
2 -225 V
2 49 V
3 178 V
2 92 V
3 17 V
2 -201 V
2 179 V
3 41 V
2 -257 V
3 -6 V
2 -89 V
2 -48 V
3 -267 V
2 171 V
3 -87 V
2 -88 V
2 -45 V
3 40 V
2 -41 V
3 2 V
2 1 V
2 133 V
3 44 V
2 -59 V
3 18 V
2 42 V
2 136 V
3 -225 V
2 9 V
3 75 V
2 4 V
2 94 V
3 84 V
2 -50 V
3 -83 V
2 -87 V
2 89 V
3 89 V
2 0 V
3 177 V
2 136 V
2 134 V
3 -266 V
2 -48 V
3 94 V
2 -48 V
2 -41 V
3 119 V
2 -206 V
3 -7 V
2 -88 V
2 44 V
3 -40 V
2 -138 V
3 269 V
2 1 V
2 90 V
stroke 1859 1566 M
3 -47 V
2 2 V
3 -90 V
2 -114 V
2 25 V
3 -92 V
2 0 V
2 91 V
3 -136 V
2 90 V
3 135 V
2 136 V
2 -134 V
3 7 V
2 -8 V
3 37 V
2 -85 V
2 -32 V
3 80 V
2 -92 V
3 -46 V
2 77 V
2 149 V
3 -89 V
2 -43 V
3 88 V
2 -90 V
2 92 V
3 46 V
2 -1 V
3 138 V
2 83 V
2 -42 V
3 -92 V
2 -184 V
3 -178 V
2 95 V
2 42 V
3 -38 V
2 -50 V
3 -136 V
2 180 V
2 12 V
3 -188 V
2 -98 V
3 131 V
2 7 V
2 -91 V
3 -39 V
2 -2 V
3 0 V
2 88 V
2 223 V
3 3 V
2 -153 V
3 -77 V
2 48 V
2 -87 V
3 -2 V
2 93 V
3 -46 V
2 -1 V
2 2 V
3 -4 V
2 181 V
3 -137 V
2 -37 V
2 -46 V
3 135 V
2 -5 V
3 -308 V
2 -47 V
2 43 V
3 129 V
2 -178 V
3 -136 V
2 -174 V
2 185 V
3 308 V
2 71 V
3 -74 V
2 1 V
2 134 V
3 87 V
2 -132 V
3 -136 V
2 1 V
2 -89 V
3 224 V
2 -90 V
3 4 V
2 88 V
2 92 V
3 88 V
2 -1 V
3 -45 V
2 -45 V
2 3 V
3 -93 V
2 -7 V
3 142 V
2 46 V
2 -93 V
3 94 V
stroke 2109 1342 M
2 -137 V
3 182 V
2 -270 V
2 41 V
3 -44 V
2 -44 V
3 2 V
2 50 V
2 126 V
3 -89 V
2 1 V
3 2 V
2 102 V
2 122 V
3 -182 V
2 52 V
3 -96 V
2 250 V
2 62 V
3 -179 V
2 91 V
3 88 V
2 88 V
2 26 V
3 111 V
2 -225 V
3 96 V
2 -47 V
2 -45 V
3 -85 V
2 -4 V
3 45 V
2 -1 V
2 -133 V
3 177 V
2 -47 V
3 -42 V
2 -90 V
2 127 V
3 142 V
2 180 V
3 -177 V
2 -91 V
2 -1 V
3 -46 V
2 44 V
3 44 V
2 -133 V
2 -229 V
3 6 V
2 272 V
3 40 V
2 36 V
2 -81 V
3 -93 V
2 -86 V
3 -48 V
2 -86 V
2 139 V
3 126 V
2 -43 V
3 -143 V
2 55 V
2 -47 V
3 134 V
2 46 V
3 -43 V
2 -177 V
2 87 V
3 -37 V
2 -99 V
3 314 V
2 -181 V
2 85 V
3 99 V
2 91 V
3 88 V
2 41 V
2 -41 V
3 -44 V
2 95 V
2 -49 V
3 -91 V
2 44 V
3 -136 V
2 2 V
2 -135 V
3 -46 V
2 -136 V
3 100 V
2 81 V
2 40 V
3 53 V
2 -12 V
3 -81 V
2 -178 V
2 133 V
3 90 V
2 -90 V
3 45 V
2 -90 V
2 -45 V
3 -46 V
2 -43 V
stroke 2358 1071 M
3 44 V
2 46 V
2 -60 V
3 102 V
2 -89 V
3 49 V
2 176 V
2 -90 V
3 -44 V
2 135 V
3 45 V
2 -89 V
2 -84 V
3 -227 V
2 220 V
3 48 V
2 87 V
2 91 V
3 90 V
2 -134 V
3 -179 V
2 228 V
2 -184 V
3 -1 V
2 -137 V
3 86 V
2 230 V
2 -132 V
3 -46 V
2 -47 V
3 46 V
2 41 V
2 -83 V
3 1 V
2 -3 V
3 175 V
2 -89 V
2 46 V
3 42 V
2 2 V
3 50 V
2 -93 V
2 0 V
3 310 V
2 -90 V
3 -311 V
2 178 V
2 182 V
3 -131 V
2 -138 V
3 -44 V
2 -90 V
2 0 V
3 93 V
2 258 V
3 9 V
2 85 V
2 -171 V
3 -2 V
2 358 V
3 -146 V
2 239 V
2 137 V
3 42 V
2 -43 V
3 -93 V
2 -221 V
stroke
LT2
362 1514 M
3 -35 V
2 224 V
3 -46 V
2 -135 V
2 133 V
3 -44 V
2 -5 V
3 48 V
2 -87 V
2 135 V
3 -181 V
2 -89 V
3 91 V
2 -183 V
2 2 V
3 87 V
2 138 V
3 -46 V
2 44 V
2 -135 V
3 -45 V
2 81 V
3 -218 V
2 178 V
2 -40 V
3 175 V
2 -147 V
3 59 V
2 86 V
2 -176 V
3 -2 V
2 181 V
3 -43 V
2 92 V
2 -87 V
3 -136 V
2 57 V
3 30 V
2 -89 V
2 44 V
3 93 V
2 43 V
3 133 V
2 -288 V
2 -206 V
3 90 V
2 50 V
3 -4 V
2 -45 V
2 46 V
3 135 V
2 45 V
3 -1 V
2 -90 V
2 224 V
3 -267 V
2 135 V
3 -92 V
2 -46 V
2 -180 V
3 6 V
2 175 V
3 43 V
2 135 V
2 4 V
3 -1 V
2 0 V
3 -1 V
2 -1 V
2 6 V
3 -180 V
2 72 V
3 3 V
2 -30 V
2 -101 V
3 -237 V
2 283 V
3 -40 V
2 168 V
2 55 V
3 92 V
2 -46 V
3 -180 V
2 0 V
2 -44 V
3 -136 V
2 90 V
3 0 V
2 -133 V
2 -46 V
3 46 V
2 89 V
2 -44 V
3 2 V
2 -232 V
3 15 V
2 81 V
2 87 V
3 -136 V
2 183 V
3 85 V
2 2 V
2 87 V
3 -41 V
stroke 612 1385 M
2 174 V
3 -40 V
2 92 V
2 42 V
3 134 V
2 -85 V
3 -45 V
2 135 V
2 -181 V
3 -89 V
2 -227 V
3 136 V
2 -1 V
2 -40 V
3 -49 V
2 -87 V
3 41 V
2 -44 V
2 -315 V
3 492 V
2 41 V
3 9 V
2 88 V
2 225 V
3 -46 V
2 -138 V
3 -131 V
2 45 V
2 -43 V
3 134 V
2 -144 V
3 -135 V
2 -36 V
2 -2 V
3 46 V
2 3 V
3 46 V
2 50 V
2 79 V
3 -262 V
2 399 V
3 -85 V
2 -95 V
2 -90 V
3 2 V
2 135 V
3 -178 V
2 134 V
2 86 V
3 47 V
2 -272 V
3 91 V
2 89 V
2 -180 V
3 -122 V
2 222 V
3 24 V
2 48 V
2 -81 V
3 86 V
2 -43 V
3 179 V
2 -4 V
2 -177 V
3 -85 V
2 37 V
3 7 V
2 126 V
2 -126 V
3 45 V
2 -44 V
3 89 V
2 -89 V
2 92 V
3 84 V
2 -312 V
3 -3 V
2 -268 V
2 224 V
3 255 V
2 370 V
3 -81 V
2 44 V
2 -13 V
3 -121 V
2 -86 V
3 173 V
2 135 V
2 -267 V
3 -125 V
2 34 V
3 -40 V
2 -3 V
2 56 V
3 -105 V
2 3 V
3 44 V
2 1 V
2 134 V
3 -89 V
2 39 V
3 90 V
2 -41 V
2 -128 V
stroke 861 1528 M
3 -41 V
2 -58 V
3 -33 V
2 38 V
2 -59 V
3 -80 V
2 227 V
3 -113 V
2 62 V
2 51 V
3 51 V
2 -36 V
3 162 V
2 45 V
2 -89 V
3 -133 V
2 45 V
3 90 V
2 -48 V
2 -41 V
3 -45 V
2 135 V
3 93 V
2 43 V
2 179 V
3 -45 V
2 -136 V
3 -134 V
2 226 V
2 214 V
3 -304 V
2 1 V
3 -49 V
2 -45 V
2 -4 V
3 46 V
2 94 V
3 -91 V
2 -89 V
2 -8 V
3 8 V
2 -271 V
3 180 V
2 44 V
2 -176 V
3 -91 V
2 -87 V
3 50 V
2 -57 V
2 42 V
3 96 V
2 -10 V
3 140 V
2 3 V
2 -40 V
3 223 V
2 -182 V
3 -43 V
2 178 V
2 -45 V
3 0 V
2 -220 V
2 139 V
3 68 V
2 101 V
3 -225 V
2 226 V
2 -223 V
3 -93 V
2 94 V
3 -46 V
2 -213 V
2 32 V
3 87 V
2 1 V
3 50 V
2 0 V
2 -92 V
3 -38 V
2 -14 V
3 14 V
2 213 V
2 -41 V
3 47 V
2 87 V
3 48 V
2 43 V
2 -90 V
3 46 V
2 90 V
3 -89 V
2 46 V
2 -138 V
3 -84 V
2 84 V
3 -37 V
2 130 V
2 -3 V
3 41 V
2 4 V
3 -10 V
2 -169 V
2 140 V
3 -50 V
stroke 1111 1567 M
2 -2 V
3 -91 V
2 -90 V
2 -86 V
3 84 V
2 2 V
3 131 V
2 -86 V
2 131 V
3 -86 V
2 92 V
3 2 V
2 -175 V
2 258 V
3 -268 V
2 46 V
3 196 V
2 -102 V
2 88 V
3 0 V
2 -361 V
3 90 V
2 267 V
2 93 V
3 -89 V
2 -92 V
3 -175 V
2 175 V
2 0 V
3 -135 V
2 139 V
3 134 V
2 -92 V
2 -4 V
3 -88 V
2 93 V
3 0 V
2 -47 V
2 -134 V
3 91 V
2 -227 V
3 179 V
2 -42 V
2 -45 V
3 45 V
2 -49 V
3 5 V
2 10 V
2 -11 V
3 -9 V
2 -175 V
3 -39 V
2 41 V
2 -44 V
3 46 V
2 -44 V
3 82 V
2 -40 V
2 -45 V
3 232 V
2 -138 V
3 -5 V
2 92 V
2 44 V
3 -44 V
2 -175 V
3 -5 V
2 -91 V
2 2 V
3 178 V
2 136 V
3 -2 V
2 -41 V
2 -158 V
3 60 V
2 -45 V
3 -262 V
2 148 V
2 171 V
3 -81 V
2 163 V
3 -47 V
2 -176 V
2 180 V
3 269 V
2 45 V
3 -2 V
2 137 V
2 -87 V
3 -3 V
2 -138 V
3 138 V
2 -89 V
2 89 V
3 -178 V
2 -45 V
3 1 V
2 -91 V
2 88 V
3 91 V
2 -226 V
3 128 V
2 96 V
2 1 V
stroke 1360 1474 M
3 -173 V
2 -52 V
3 -95 V
2 142 V
2 0 V
3 43 V
2 46 V
3 -45 V
2 47 V
2 -47 V
3 6 V
2 127 V
3 0 V
2 -176 V
2 296 V
3 -211 V
2 -61 V
3 109 V
2 -1 V
2 -271 V
3 51 V
2 41 V
3 -93 V
2 43 V
2 72 V
3 -112 V
2 89 V
3 -44 V
2 89 V
2 -43 V
3 -90 V
2 45 V
3 44 V
2 -46 V
2 90 V
3 47 V
2 90 V
2 -127 V
3 29 V
2 189 V
3 -2 V
2 -86 V
2 88 V
3 -226 V
2 132 V
3 137 V
2 -229 V
2 94 V
3 310 V
2 36 V
3 -73 V
2 -91 V
2 -90 V
3 -42 V
2 -95 V
3 46 V
2 1 V
2 -2 V
3 -83 V
2 84 V
3 45 V
2 49 V
2 -58 V
3 -69 V
2 206 V
3 -45 V
2 98 V
2 -222 V
3 -94 V
2 -48 V
3 90 V
2 2 V
2 85 V
3 -92 V
2 -81 V
3 87 V
2 -209 V
2 -15 V
3 1 V
2 -44 V
3 -66 V
2 154 V
2 -93 V
3 -90 V
2 182 V
3 84 V
2 -42 V
2 194 V
3 -190 V
2 -90 V
3 220 V
2 5 V
2 -178 V
3 45 V
2 4 V
3 338 V
2 109 V
2 -43 V
3 40 V
2 -44 V
3 4 V
2 -5 V
2 47 V
3 -183 V
stroke 1610 1519 M
2 5 V
3 -7 V
2 48 V
2 -109 V
3 -29 V
2 266 V
3 -261 V
2 -1 V
2 177 V
3 -119 V
2 75 V
3 44 V
2 0 V
2 -49 V
3 -172 V
2 -3 V
3 181 V
2 -221 V
2 39 V
3 -50 V
2 -40 V
3 -134 V
2 43 V
2 -43 V
3 44 V
2 -3 V
3 -29 V
2 124 V
2 -135 V
3 2 V
2 40 V
3 5 V
2 -1 V
2 -2 V
3 49 V
2 38 V
3 184 V
2 -134 V
2 -4 V
3 -40 V
2 38 V
3 80 V
2 9 V
2 5 V
3 89 V
2 45 V
3 92 V
2 -225 V
2 48 V
3 179 V
2 93 V
3 -42 V
2 -142 V
2 178 V
3 35 V
2 -211 V
3 -78 V
2 -55 V
2 -50 V
3 -205 V
2 72 V
3 -50 V
2 -88 V
2 -45 V
3 85 V
2 -86 V
3 46 V
2 45 V
2 0 V
3 89 V
2 -70 V
3 70 V
2 1 V
2 136 V
3 -140 V
2 -41 V
3 86 V
2 -40 V
2 13 V
3 121 V
2 -9 V
3 -81 V
2 -133 V
2 134 V
3 179 V
2 -90 V
3 134 V
2 136 V
2 169 V
3 -213 V
2 -136 V
3 179 V
2 -89 V
2 0 V
3 -1 V
2 -131 V
3 -4 V
2 -45 V
2 3 V
3 -43 V
2 -137 V
3 269 V
2 1 V
2 89 V
stroke 1859 1565 M
3 -45 V
2 -45 V
3 -43 V
2 -125 V
2 80 V
3 -137 V
2 0 V
2 91 V
3 -179 V
2 133 V
3 90 V
2 222 V
2 -220 V
3 47 V
2 10 V
3 27 V
2 -130 V
2 7 V
3 84 V
2 -93 V
3 -47 V
2 31 V
2 67 V
3 40 V
2 -43 V
3 43 V
2 -45 V
2 92 V
3 44 V
2 1 V
3 133 V
2 42 V
2 5 V
3 -93 V
2 -141 V
3 -220 V
2 176 V
2 -82 V
3 0 V
2 -46 V
3 -102 V
2 146 V
2 -43 V
3 -93 V
2 -91 V
3 50 V
2 -3 V
2 -91 V
3 19 V
2 -59 V
3 86 V
2 45 V
2 223 V
3 -43 V
2 -143 V
3 -49 V
2 56 V
2 -45 V
3 -44 V
2 47 V
3 0 V
2 44 V
2 0 V
3 -46 V
2 91 V
3 -51 V
2 -30 V
2 37 V
3 9 V
2 34 V
3 -358 V
2 49 V
2 -90 V
3 216 V
2 -178 V
3 -137 V
2 -175 V
2 137 V
3 314 V
2 174 V
3 -177 V
2 90 V
2 89 V
3 89 V
2 -134 V
3 -137 V
2 2 V
2 -90 V
3 181 V
2 -92 V
3 93 V
2 51 V
2 87 V
3 90 V
2 -4 V
3 -45 V
2 -46 V
2 -41 V
3 -47 V
2 -2 V
3 91 V
2 91 V
2 -86 V
3 85 V
stroke 2109 1340 M
2 -135 V
3 227 V
2 -314 V
2 85 V
3 -42 V
2 -91 V
3 5 V
2 43 V
2 87 V
3 -46 V
2 1 V
3 2 V
2 93 V
2 52 V
3 -58 V
2 43 V
3 -168 V
2 169 V
2 176 V
3 -224 V
2 139 V
3 89 V
2 135 V
2 -1 V
3 -37 V
2 -92 V
3 44 V
2 -1 V
2 -43 V
3 -134 V
2 88 V
3 0 V
2 44 V
2 -177 V
3 221 V
2 -45 V
3 -47 V
2 -87 V
2 48 V
3 222 V
2 89 V
3 -90 V
2 -133 V
2 43 V
3 -179 V
2 135 V
3 44 V
2 -135 V
2 -229 V
3 5 V
2 298 V
3 15 V
2 -44 V
2 1 V
3 -55 V
2 -80 V
3 -50 V
2 -173 V
2 179 V
3 128 V
2 4 V
3 -95 V
2 -39 V
2 -1 V
3 -44 V
2 133 V
3 -88 V
2 -88 V
2 43 V
3 53 V
2 -144 V
3 358 V
2 -312 V
2 218 V
3 53 V
2 134 V
3 12 V
2 74 V
2 4 V
3 -89 V
2 138 V
2 -137 V
3 -33 V
2 76 V
3 -180 V
2 -44 V
2 -132 V
3 -4 V
2 -136 V
3 50 V
2 131 V
2 81 V
3 9 V
2 -3 V
3 -131 V
2 -43 V
2 87 V
3 0 V
2 -45 V
3 45 V
2 -45 V
2 -91 V
3 -45 V
2 -42 V
stroke 2358 1072 M
3 2 V
2 88 V
2 -54 V
3 53 V
2 -47 V
3 90 V
2 135 V
2 -48 V
3 -86 V
2 90 V
3 90 V
2 -89 V
2 -41 V
3 -315 V
2 265 V
3 46 V
2 89 V
2 48 V
3 88 V
2 -90 V
3 -222 V
2 271 V
2 -9 V
3 -175 V
2 -137 V
3 46 V
2 315 V
2 -179 V
3 -45 V
2 -47 V
3 47 V
2 -43 V
2 -4 V
3 2 V
2 90 V
3 91 V
2 -95 V
2 47 V
3 49 V
2 -6 V
3 52 V
2 -135 V
2 0 V
3 217 V
2 82 V
3 -349 V
2 137 V
2 178 V
3 -130 V
2 -138 V
3 89 V
2 -134 V
2 -2 V
3 50 V
2 254 V
3 13 V
2 45 V
2 -137 V
3 48 V
2 314 V
3 -142 V
2 234 V
2 138 V
3 175 V
2 -133 V
3 -46 V
2 -262 V
stroke
LTa
360 1386 M
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
stroke
LTb
360 2519 N
360 252 L
2159 0 V
0 2267 V
-2159 0 V
Z stroke
0.500 UP
0.500 UL
LTb
0.500 UL
LTb
2520 479 M
63 0 V
2096 0 R
-63 0 V
2520 932 M
63 0 V
2096 0 R
-63 0 V
2520 1386 M
63 0 V
2096 0 R
-63 0 V
2520 1839 M
63 0 V
2096 0 R
-63 0 V
2520 2292 M
63 0 V
2096 0 R
-63 0 V
2520 252 M
0 63 V
0 2204 R
0 -63 V
2760 252 M
0 63 V
0 2204 R
0 -63 V
3000 252 M
0 63 V
0 2204 R
0 -63 V
3240 252 M
0 63 V
0 2204 R
0 -63 V
3480 252 M
0 63 V
0 2204 R
0 -63 V
3719 252 M
0 63 V
0 2204 R
0 -63 V
3959 252 M
0 63 V
0 2204 R
0 -63 V
4199 252 M
0 63 V
0 2204 R
0 -63 V
4439 252 M
0 63 V
0 2204 R
0 -63 V
4679 252 M
0 63 V
0 2204 R
0 -63 V
stroke
2520 2519 N
0 -2267 V
2159 0 V
0 2267 V
-2159 0 V
Z stroke
LCb setrgbcolor
LTb
LCb setrgbcolor
LTb
0.500 UP
0.500 UL
LTb
0.500 UL
LT0
2522 1478 M
3 225 V
2 79 V
3 -160 V
2 -64 V
2 9 V
3 -78 V
2 121 V
3 131 V
2 -178 V
2 168 V
3 -296 V
2 170 V
3 -127 V
2 -102 V
2 -35 V
3 173 V
2 97 V
3 -46 V
2 4 V
2 -51 V
3 -178 V
2 88 V
3 -92 V
2 93 V
2 -89 V
3 134 V
2 34 V
3 6 V
2 4 V
2 -90 V
3 -44 V
2 143 V
3 -90 V
2 129 V
2 -45 V
3 -223 V
2 89 V
3 4 V
2 -55 V
2 227 V
3 -43 V
2 133 V
3 86 V
2 -223 V
2 -224 V
3 3 V
2 89 V
3 -98 V
2 10 V
2 2 V
3 224 V
2 -42 V
3 -32 V
2 -60 V
2 137 V
3 -135 V
2 88 V
3 -136 V
2 89 V
2 -275 V
3 8 V
2 177 V
3 46 V
2 93 V
2 44 V
3 42 V
2 46 V
3 -135 V
2 5 V
2 26 V
3 -33 V
2 50 V
3 37 V
2 -77 V
2 -152 V
3 -199 V
2 381 V
3 -175 V
2 51 V
2 290 V
3 -71 V
2 -44 V
3 34 V
2 -175 V
2 -86 V
3 131 V
2 -177 V
3 90 V
2 -145 V
2 1 V
3 -80 V
2 5 V
2 45 V
3 78 V
2 -307 V
3 277 V
2 -93 V
2 131 V
3 -225 V
2 137 V
3 45 V
2 90 V
2 131 V
3 -89 V
stroke 2772 1384 M
2 136 V
3 -44 V
2 310 V
2 -86 V
3 -44 V
2 85 V
3 -75 V
2 171 V
2 -137 V
3 -93 V
2 -183 V
3 49 V
2 -42 V
2 -1 V
3 -130 V
2 -137 V
3 171 V
2 4 V
2 -274 V
3 324 V
2 132 V
3 -43 V
2 137 V
2 221 V
3 -113 V
2 -20 V
3 -181 V
2 43 V
2 -2 V
3 51 V
2 -141 V
3 -175 V
2 43 V
2 37 V
3 -165 V
2 42 V
3 137 V
2 -3 V
2 89 V
3 -225 V
2 411 V
3 -9 V
2 -221 V
2 -136 V
3 134 V
2 134 V
3 -265 V
2 96 V
2 123 V
3 51 V
2 -187 V
3 -39 V
2 3 V
2 2 V
3 -228 V
2 352 V
3 88 V
2 -135 V
2 -35 V
3 303 V
2 -37 V
3 51 V
2 -183 V
2 -7 V
3 0 V
2 -131 V
3 -45 V
2 271 V
2 -182 V
3 90 V
2 -89 V
3 222 V
2 -207 V
2 220 V
3 -145 V
2 -187 V
3 3 V
2 -269 V
2 268 V
3 -35 V
2 492 V
3 -47 V
2 -41 V
2 217 V
3 -268 V
2 30 V
3 64 V
2 129 V
2 -353 V
3 -1 V
2 131 V
3 -132 V
2 1 V
2 -3 V
3 -131 V
2 -45 V
3 263 V
2 -46 V
2 96 V
3 -134 V
2 131 V
3 -41 V
2 2 V
2 -46 V
stroke 3021 1570 M
3 -135 V
2 -4 V
3 -45 V
2 -41 V
2 -90 V
3 -52 V
2 277 V
3 -181 V
2 197 V
2 68 V
3 92 V
2 -219 V
3 349 V
2 -41 V
2 -85 V
3 -142 V
2 15 V
3 82 V
2 -43 V
2 82 V
3 -87 V
2 92 V
3 -43 V
2 267 V
2 45 V
3 -40 V
2 -138 V
3 -181 V
2 358 V
2 179 V
3 -228 V
2 -302 V
3 259 V
2 -4 V
2 -174 V
3 49 V
2 128 V
3 -176 V
2 1 V
2 -3 V
3 0 V
2 -317 V
3 227 V
2 43 V
2 -132 V
3 -135 V
2 -133 V
3 90 V
2 -18 V
2 55 V
3 -125 V
2 130 V
3 135 V
2 43 V
2 -89 V
3 312 V
2 -177 V
3 -88 V
2 266 V
2 -130 V
3 -131 V
2 -95 V
2 94 V
3 42 V
2 89 V
3 -93 V
2 137 V
2 -267 V
3 45 V
2 -88 V
3 3 V
2 -97 V
2 50 V
3 -92 V
2 26 V
3 106 V
2 85 V
2 -64 V
3 -195 V
2 42 V
3 -176 V
2 444 V
2 -131 V
3 126 V
2 134 V
3 -83 V
2 177 V
2 -135 V
3 -44 V
2 172 V
3 5 V
2 -41 V
2 -4 V
3 -265 V
2 4 V
3 -3 V
2 266 V
2 -45 V
3 122 V
2 -78 V
3 -8 V
2 -258 V
2 266 V
3 -46 V
stroke 3271 1609 M
2 90 V
3 -311 V
2 -3 V
2 1 V
3 -45 V
2 88 V
3 221 V
2 -50 V
2 5 V
3 -131 V
2 197 V
3 -106 V
2 -138 V
2 361 V
3 -413 V
2 57 V
3 92 V
2 -47 V
2 187 V
3 60 V
2 -468 V
3 261 V
2 176 V
2 -31 V
3 -47 V
2 -179 V
3 35 V
2 93 V
2 -44 V
3 -135 V
2 -3 V
3 232 V
2 83 V
2 -131 V
3 -138 V
2 240 V
3 24 V
2 -218 V
2 -47 V
3 130 V
2 -262 V
3 -1 V
2 176 V
2 -40 V
3 -47 V
2 -46 V
3 -42 V
2 130 V
2 -15 V
3 -72 V
2 -134 V
3 -89 V
2 -37 V
2 -9 V
3 225 V
2 -177 V
3 42 V
2 -1 V
2 -89 V
3 228 V
2 -91 V
3 1 V
2 220 V
2 -127 V
3 -95 V
2 -89 V
3 -51 V
2 -165 V
2 37 V
3 283 V
2 30 V
3 213 V
2 -133 V
2 -218 V
3 89 V
2 -132 V
3 -49 V
2 95 V
2 89 V
3 10 V
2 122 V
3 -46 V
2 -308 V
2 225 V
3 305 V
2 10 V
3 56 V
2 81 V
2 -3 V
3 -264 V
2 -49 V
3 226 V
2 -47 V
2 88 V
3 -223 V
2 -1 V
3 9 V
2 -54 V
2 0 V
3 46 V
2 -4 V
3 -44 V
2 181 V
2 -84 V
stroke 3520 1436 M
3 -92 V
2 -93 V
3 -175 V
2 219 V
2 88 V
3 -88 V
2 48 V
3 42 V
2 3 V
2 -91 V
3 256 V
2 -163 V
3 47 V
2 -138 V
2 177 V
3 -50 V
2 -222 V
3 345 V
2 10 V
2 -308 V
3 73 V
2 -35 V
3 -94 V
2 90 V
2 130 V
3 -167 V
2 219 V
3 -347 V
2 178 V
2 -48 V
3 -44 V
2 -1 V
3 1 V
2 -1 V
2 134 V
3 134 V
2 -87 V
2 -89 V
3 -78 V
2 296 V
3 -44 V
2 7 V
2 -42 V
3 -63 V
2 193 V
3 177 V
2 -357 V
2 36 V
3 234 V
2 172 V
3 -209 V
2 -89 V
2 -140 V
3 87 V
2 -1 V
3 88 V
2 -289 V
2 67 V
3 -130 V
2 46 V
3 308 V
2 -88 V
2 127 V
3 -46 V
2 91 V
3 -129 V
2 123 V
2 -344 V
3 -46 V
2 87 V
3 58 V
2 71 V
2 3 V
3 -172 V
2 -91 V
3 170 V
2 -266 V
2 135 V
3 -86 V
2 -225 V
3 -45 V
2 310 V
2 -45 V
3 -51 V
2 273 V
3 -99 V
2 145 V
2 -37 V
3 -135 V
2 -8 V
3 137 V
2 -86 V
2 -154 V
3 66 V
2 130 V
3 180 V
2 132 V
2 -122 V
3 210 V
2 -126 V
3 2 V
2 172 V
2 -126 V
3 -138 V
stroke 3770 1523 M
2 15 V
3 -11 V
2 125 V
2 -214 V
3 213 V
2 -44 V
3 -182 V
2 -80 V
2 354 V
3 -229 V
2 92 V
3 91 V
2 -178 V
2 260 V
3 -218 V
2 -15 V
3 -25 V
2 -141 V
2 5 V
3 41 V
2 -133 V
3 -45 V
2 125 V
2 -207 V
3 82 V
2 -33 V
3 79 V
2 88 V
2 -180 V
3 -43 V
2 218 V
3 31 V
2 -29 V
2 -53 V
3 13 V
2 -92 V
3 278 V
2 -140 V
2 41 V
3 -1 V
2 42 V
3 -38 V
2 174 V
2 -88 V
3 136 V
2 0 V
3 -39 V
2 -52 V
2 2 V
3 139 V
2 89 V
3 2 V
2 -97 V
2 95 V
3 88 V
2 -179 V
3 -87 V
2 -172 V
2 -31 V
3 -165 V
2 49 V
3 -47 V
2 -3 V
2 -2 V
3 -83 V
2 -136 V
3 173 V
2 -123 V
2 183 V
3 43 V
2 -51 V
3 93 V
2 -47 V
2 99 V
3 -187 V
2 89 V
3 -87 V
2 130 V
2 -214 V
3 140 V
2 33 V
3 2 V
2 36 V
2 5 V
3 92 V
2 0 V
3 263 V
2 137 V
2 -39 V
3 -138 V
2 -177 V
3 132 V
2 26 V
2 61 V
3 49 V
2 -270 V
3 96 V
2 -150 V
2 9 V
3 41 V
2 -218 V
3 221 V
2 89 V
2 11 V
stroke 4019 1530 M
3 29 V
2 6 V
3 -178 V
2 -92 V
2 6 V
3 -78 V
2 28 V
2 178 V
3 -355 V
2 91 V
3 177 V
2 186 V
2 37 V
3 -133 V
2 -8 V
3 97 V
2 -223 V
2 87 V
3 77 V
2 -123 V
3 45 V
2 -41 V
2 88 V
3 -133 V
2 88 V
3 87 V
2 -84 V
2 -45 V
3 135 V
2 170 V
3 94 V
2 44 V
2 -44 V
3 -178 V
2 -48 V
3 -268 V
2 223 V
2 2 V
3 -90 V
2 -138 V
3 44 V
2 136 V
2 1 V
3 -221 V
2 -132 V
3 131 V
2 43 V
2 -153 V
3 61 V
2 -43 V
3 -85 V
2 131 V
2 181 V
3 -51 V
2 -53 V
3 -81 V
2 -38 V
2 86 V
3 -86 V
2 134 V
3 -48 V
2 -176 V
2 134 V
3 -2 V
2 180 V
3 -266 V
2 132 V
2 -88 V
3 89 V
2 -40 V
3 -281 V
2 50 V
2 -43 V
3 48 V
2 -51 V
3 -136 V
2 -184 V
2 97 V
3 404 V
2 46 V
3 -52 V
2 -39 V
2 220 V
3 7 V
2 -3 V
3 -227 V
2 2 V
2 33 V
3 59 V
2 37 V
3 -38 V
2 41 V
2 221 V
3 52 V
2 -87 V
3 -7 V
2 -36 V
2 -4 V
3 -182 V
2 45 V
3 189 V
2 -46 V
2 -12 V
3 141 V
stroke 4269 1430 M
2 -225 V
3 138 V
2 -226 V
2 -40 V
3 -46 V
2 0 V
3 39 V
2 1 V
2 268 V
3 -94 V
2 -215 V
3 131 V
2 44 V
2 180 V
3 -96 V
2 139 V
3 -316 V
2 442 V
2 -210 V
3 -8 V
2 10 V
3 -49 V
2 396 V
2 3 V
3 25 V
2 -345 V
3 107 V
2 -4 V
2 -89 V
3 7 V
2 -54 V
3 54 V
2 -44 V
2 -59 V
3 56 V
2 123 V
3 131 V
2 -352 V
2 216 V
3 97 V
2 136 V
3 -136 V
2 -87 V
2 -45 V
3 -48 V
2 130 V
3 4 V
2 -89 V
2 -271 V
3 -68 V
2 343 V
3 -3 V
2 212 V
2 -97 V
3 -118 V
2 -51 V
3 -85 V
2 -136 V
2 136 V
3 138 V
2 -6 V
3 -4 V
2 -215 V
2 -2 V
3 134 V
2 -40 V
3 87 V
2 -310 V
2 90 V
3 -2 V
2 -130 V
3 309 V
2 -223 V
2 177 V
3 93 V
2 42 V
3 54 V
2 216 V
2 41 V
3 -348 V
2 348 V
2 -88 V
3 -3 V
2 -128 V
3 -1 V
2 -223 V
2 -3 V
3 -85 V
2 -138 V
3 178 V
2 132 V
2 -41 V
3 45 V
2 82 V
3 -217 V
2 -265 V
2 177 V
3 107 V
2 -64 V
3 134 V
2 -179 V
2 -2 V
3 -89 V
2 -84 V
stroke 4518 986 M
3 84 V
2 48 V
2 86 V
3 -42 V
2 39 V
3 89 V
2 11 V
2 -50 V
3 -180 V
2 269 V
3 45 V
2 -132 V
2 -46 V
3 -223 V
2 92 V
3 300 V
2 6 V
2 2 V
3 50 V
2 -136 V
3 -47 V
2 179 V
2 -223 V
3 1 V
2 -50 V
3 134 V
2 92 V
2 4 V
3 -50 V
2 -89 V
3 -43 V
2 -46 V
2 44 V
3 4 V
2 72 V
3 109 V
2 -95 V
2 133 V
3 84 V
2 43 V
3 -40 V
2 -226 V
2 49 V
3 265 V
2 65 V
3 -459 V
2 213 V
2 233 V
3 -135 V
2 -191 V
3 12 V
2 -48 V
2 2 V
3 89 V
2 268 V
3 -85 V
2 176 V
2 -261 V
3 83 V
2 272 V
3 -131 V
2 265 V
2 204 V
3 -21 V
2 0 V
3 -135 V
2 -314 V
stroke
LT2
2522 1478 M
3 225 V
2 124 V
3 -159 V
2 -110 V
2 9 V
3 7 V
2 36 V
3 175 V
2 -264 V
2 255 V
3 -297 V
2 83 V
3 -40 V
2 -225 V
2 44 V
3 129 V
2 53 V
3 87 V
2 -131 V
2 80 V
3 -129 V
2 42 V
3 -224 V
2 181 V
2 -88 V
3 178 V
2 -90 V
3 129 V
2 4 V
2 -134 V
3 -45 V
2 184 V
3 -92 V
2 91 V
2 -45 V
3 -222 V
2 88 V
3 -132 V
2 128 V
2 180 V
3 -42 V
2 135 V
3 69 V
2 -209 V
2 -225 V
3 3 V
2 90 V
3 -87 V
2 -1 V
2 2 V
3 180 V
2 2 V
3 42 V
2 -133 V
2 136 V
3 -181 V
2 89 V
3 -47 V
2 6 V
2 -187 V
3 -86 V
2 267 V
3 -44 V
2 223 V
2 -41 V
3 43 V
2 85 V
3 -176 V
2 13 V
2 27 V
3 -128 V
2 137 V
3 36 V
2 -47 V
2 -140 V
3 -256 V
2 395 V
3 -172 V
2 48 V
2 268 V
3 -90 V
2 -46 V
3 83 V
2 -135 V
2 -86 V
3 43 V
2 -133 V
3 131 V
2 -261 V
2 67 V
3 53 V
2 -73 V
2 1 V
3 40 V
2 -269 V
3 217 V
2 -79 V
2 175 V
3 -180 V
2 91 V
3 5 V
2 86 V
2 176 V
3 -3 V
stroke 2772 1470 M
2 51 V
3 0 V
2 264 V
2 -85 V
3 -44 V
2 2 V
3 43 V
2 137 V
2 -138 V
3 -93 V
2 -232 V
3 59 V
2 -48 V
2 3 V
3 -50 V
2 -130 V
3 173 V
2 -1 V
2 -316 V
3 367 V
2 43 V
3 32 V
2 146 V
2 182 V
3 -53 V
2 -128 V
3 -178 V
2 89 V
2 -4 V
3 96 V
2 -186 V
3 -174 V
2 44 V
2 -5 V
3 -125 V
2 43 V
3 138 V
2 -4 V
2 44 V
3 -180 V
2 460 V
3 -145 V
2 -90 V
2 -224 V
3 177 V
2 136 V
3 -267 V
2 93 V
2 172 V
3 50 V
2 -232 V
3 -38 V
2 -84 V
2 79 V
3 -137 V
2 316 V
3 84 V
2 -216 V
2 48 V
3 219 V
2 -87 V
3 91 V
2 -130 V
2 -9 V
3 5 V
2 -136 V
3 -45 V
2 270 V
2 -181 V
3 90 V
2 -44 V
3 90 V
2 -112 V
2 194 V
3 -81 V
2 -182 V
3 -92 V
2 -181 V
2 180 V
3 53 V
2 487 V
3 -85 V
2 45 V
2 85 V
3 -263 V
2 -10 V
3 144 V
2 128 V
2 -263 V
3 -90 V
2 87 V
3 -88 V
2 1 V
2 42 V
3 -131 V
2 -135 V
3 262 V
2 45 V
2 50 V
3 -44 V
2 168 V
3 -167 V
2 3 V
2 -63 V
stroke 3021 1554 M
3 -119 V
2 -4 V
3 -46 V
2 6 V
2 -136 V
3 -45 V
2 275 V
3 -52 V
2 -39 V
2 128 V
3 94 V
2 -177 V
3 265 V
2 161 V
2 -205 V
3 -141 V
2 40 V
3 11 V
2 0 V
2 -3 V
3 0 V
2 92 V
3 -43 V
2 218 V
2 182 V
3 -89 V
2 -224 V
3 -133 V
2 357 V
2 179 V
3 -271 V
2 -172 V
3 84 V
2 126 V
2 -216 V
3 42 V
2 180 V
3 -221 V
2 0 V
2 4 V
3 38 V
2 -318 V
3 138 V
2 49 V
2 -92 V
3 -180 V
2 -88 V
3 88 V
2 -11 V
2 51 V
3 -127 V
2 88 V
3 179 V
2 83 V
2 -131 V
3 344 V
2 -207 V
3 -89 V
2 221 V
2 -129 V
3 -88 V
2 -50 V
2 94 V
3 -1 V
2 133 V
3 -56 V
2 55 V
2 -222 V
3 -45 V
2 45 V
3 -129 V
2 -62 V
2 97 V
3 -87 V
2 -35 V
3 75 V
2 93 V
2 -77 V
3 -101 V
2 43 V
3 -289 V
2 402 V
2 -56 V
3 209 V
2 94 V
3 -87 V
2 220 V
2 -169 V
3 -7 V
2 43 V
3 45 V
2 -43 V
2 84 V
3 -263 V
2 45 V
3 -89 V
2 311 V
2 -90 V
3 82 V
2 -38 V
3 -90 V
2 -130 V
2 219 V
3 -90 V
stroke 3271 1564 M
2 134 V
3 -308 V
2 80 V
2 -87 V
3 0 V
2 88 V
3 176 V
2 -84 V
2 -43 V
3 -46 V
2 217 V
3 -168 V
2 -53 V
2 307 V
3 -407 V
2 104 V
3 82 V
2 -35 V
2 128 V
3 55 V
2 -453 V
3 266 V
2 127 V
2 -24 V
3 -4 V
2 -140 V
3 40 V
2 92 V
2 -92 V
3 -87 V
2 5 V
3 180 V
2 83 V
2 -176 V
3 -221 V
2 308 V
3 88 V
2 -221 V
2 -5 V
3 10 V
2 -140 V
3 -16 V
2 145 V
2 -85 V
3 0 V
2 -89 V
3 1 V
2 133 V
2 1 V
3 -88 V
2 -99 V
3 -83 V
2 7 V
2 -96 V
3 223 V
2 -134 V
3 -13 V
2 4 V
2 -38 V
3 228 V
2 -135 V
3 -44 V
2 265 V
2 -131 V
3 -47 V
2 -134 V
3 -90 V
2 -110 V
2 24 V
3 333 V
2 -17 V
3 217 V
2 -53 V
2 -263 V
3 88 V
2 -87 V
3 -180 V
2 92 V
2 135 V
3 -41 V
2 132 V
3 -2 V
2 -247 V
2 161 V
3 355 V
2 1 V
3 11 V
2 171 V
2 -90 V
3 -308 V
2 39 V
3 181 V
2 -87 V
2 167 V
3 -260 V
2 -1 V
3 18 V
2 -63 V
2 0 V
3 91 V
2 -93 V
3 0 V
2 137 V
2 -85 V
stroke 3520 1391 M
3 -91 V
2 -48 V
3 -52 V
2 55 V
2 128 V
3 -88 V
2 49 V
3 40 V
2 -36 V
2 -50 V
3 257 V
2 -205 V
3 130 V
2 -181 V
2 264 V
3 -47 V
2 -266 V
3 240 V
2 24 V
2 -308 V
3 81 V
2 -126 V
3 75 V
2 6 V
2 179 V
3 -218 V
2 134 V
3 -176 V
2 94 V
2 -5 V
3 -7 V
2 -129 V
3 136 V
2 -45 V
2 177 V
3 49 V
2 0 V
2 -98 V
3 -35 V
2 181 V
3 -47 V
2 45 V
2 -40 V
3 -192 V
2 232 V
3 189 V
2 -236 V
2 -45 V
3 227 V
2 264 V
3 -256 V
2 -88 V
2 -143 V
3 46 V
2 71 V
3 -72 V
2 -45 V
2 -5 V
3 -129 V
2 1 V
3 310 V
2 -133 V
2 125 V
3 -42 V
2 134 V
3 -222 V
2 179 V
2 -306 V
3 -49 V
2 -2 V
3 176 V
2 43 V
2 53 V
3 -220 V
2 -181 V
3 304 V
2 -222 V
2 -42 V
3 -39 V
2 -183 V
3 -1 V
2 220 V
2 -3 V
3 -49 V
2 316 V
3 -43 V
2 2 V
2 53 V
3 -179 V
2 -52 V
3 182 V
2 -42 V
2 -132 V
3 -2 V
2 50 V
3 264 V
2 213 V
2 -163 V
3 125 V
2 -85 V
3 -43 V
2 218 V
2 -127 V
3 -178 V
stroke 3770 1483 M
2 174 V
3 -129 V
2 37 V
2 -77 V
3 121 V
2 -2 V
3 -136 V
2 -171 V
2 352 V
3 -178 V
2 3 V
3 176 V
2 -133 V
2 128 V
3 -132 V
2 -89 V
3 -39 V
2 -6 V
2 -41 V
3 85 V
2 -177 V
3 -45 V
2 84 V
2 -211 V
3 127 V
2 -41 V
3 130 V
2 0 V
2 -135 V
3 -127 V
2 260 V
3 123 V
2 -35 V
2 -124 V
3 -5 V
2 -76 V
3 260 V
2 -138 V
2 86 V
3 -46 V
2 87 V
3 51 V
2 40 V
2 -43 V
3 137 V
2 -45 V
3 5 V
2 -9 V
2 -126 V
3 223 V
2 4 V
3 3 V
2 74 V
2 -76 V
3 173 V
2 -179 V
3 -133 V
2 -80 V
2 -27 V
3 -216 V
2 8 V
3 -92 V
2 122 V
2 -41 V
3 -128 V
2 -88 V
3 175 V
2 -125 V
2 218 V
3 3 V
2 -48 V
3 92 V
2 -45 V
2 9 V
3 -98 V
2 44 V
3 -41 V
2 128 V
2 -129 V
3 93 V
2 -4 V
3 43 V
2 -49 V
2 49 V
3 93 V
2 41 V
3 262 V
2 97 V
2 4 V
3 -137 V
2 -178 V
3 43 V
2 84 V
2 4 V
3 85 V
2 -262 V
3 88 V
2 -184 V
2 51 V
3 39 V
2 -261 V
3 266 V
2 46 V
2 42 V
stroke 4019 1518 M
3 45 V
2 -43 V
3 -133 V
2 -92 V
2 47 V
3 -127 V
2 35 V
2 134 V
3 -309 V
2 89 V
3 133 V
2 269 V
2 -2 V
3 -132 V
2 33 V
3 -33 V
2 -92 V
2 89 V
3 -40 V
2 -91 V
3 80 V
2 -80 V
2 88 V
3 -42 V
2 9 V
3 121 V
2 -85 V
2 -45 V
3 136 V
2 172 V
3 91 V
2 45 V
2 -5 V
3 -217 V
2 -49 V
3 -314 V
2 270 V
2 3 V
3 -104 V
2 -206 V
3 125 V
2 92 V
2 -1 V
3 -224 V
2 -67 V
3 113 V
2 -80 V
2 -49 V
3 80 V
2 1 V
3 -43 V
2 47 V
2 91 V
3 38 V
2 -89 V
3 -45 V
2 48 V
2 1 V
3 -87 V
2 133 V
3 -4 V
2 -85 V
2 0 V
3 -1 V
2 135 V
3 -209 V
2 160 V
2 -128 V
3 136 V
2 -126 V
3 -197 V
2 -40 V
2 1 V
3 136 V
2 -167 V
3 -64 V
2 -225 V
2 95 V
3 361 V
2 88 V
3 -51 V
2 -40 V
2 221 V
3 6 V
2 37 V
3 -222 V
2 -43 V
2 82 V
3 10 V
2 34 V
3 -35 V
2 45 V
2 174 V
3 65 V
2 -58 V
3 -94 V
2 3 V
2 45 V
3 -92 V
2 -2 V
3 138 V
2 -52 V
2 52 V
3 131 V
stroke 4269 1470 M
2 -176 V
3 49 V
2 -269 V
2 5 V
3 -44 V
2 -2 V
3 37 V
2 1 V
2 266 V
3 -93 V
2 -257 V
3 193 V
2 26 V
2 137 V
3 -138 V
2 308 V
3 -339 V
2 294 V
2 -124 V
3 61 V
2 -63 V
3 39 V
2 399 V
2 -127 V
3 139 V
2 -359 V
3 4 V
2 43 V
2 -89 V
3 6 V
2 -53 V
3 51 V
2 -8 V
2 -90 V
3 182 V
2 83 V
3 -46 V
2 -179 V
2 50 V
3 224 V
2 46 V
3 -52 V
2 -173 V
2 -41 V
3 -10 V
2 221 V
3 -89 V
2 -84 V
2 -270 V
3 -49 V
2 367 V
3 -46 V
2 256 V
2 -131 V
3 -128 V
2 -93 V
3 -2 V
2 -90 V
2 4 V
3 180 V
2 -2 V
3 -2 V
2 -174 V
2 -44 V
3 87 V
2 5 V
3 87 V
2 -266 V
2 0 V
3 45 V
2 -141 V
3 317 V
2 -222 V
2 136 V
3 179 V
2 82 V
3 -32 V
2 173 V
2 87 V
3 -194 V
2 189 V
2 5 V
3 -135 V
2 -85 V
3 -6 V
2 -216 V
2 -5 V
3 -129 V
2 37 V
3 2 V
2 177 V
2 4 V
3 0 V
2 125 V
3 -215 V
2 -131 V
2 40 V
3 49 V
2 -47 V
3 133 V
2 -179 V
2 -46 V
3 41 V
2 -128 V
stroke 4518 1028 M
3 43 V
2 7 V
2 84 V
3 0 V
2 39 V
3 90 V
2 7 V
2 -2 V
3 -176 V
2 221 V
3 44 V
2 -132 V
2 -5 V
3 -262 V
2 93 V
3 383 V
2 -80 V
2 2 V
3 41 V
2 -83 V
3 -136 V
2 223 V
2 -222 V
3 1 V
2 -53 V
3 92 V
2 179 V
2 -40 V
3 -90 V
2 -20 V
3 -26 V
2 -86 V
2 84 V
3 38 V
2 -2 V
3 60 V
2 -50 V
2 131 V
3 -1 V
2 92 V
3 -43 V
2 -180 V
2 1 V
3 224 V
2 146 V
3 -415 V
2 219 V
2 142 V
3 -164 V
2 -120 V
3 59 V
2 -94 V
2 4 V
3 162 V
2 150 V
3 4 V
2 97 V
2 -317 V
3 164 V
2 282 V
3 -134 V
2 266 V
2 177 V
3 99 V
2 -92 V
3 -43 V
2 -445 V
stroke
LTa
2520 1386 M
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
stroke
LTb
2520 2519 N
0 -2267 V
2159 0 V
0 2267 V
-2159 0 V
Z stroke
0.500 UP
0.500 UL
LTb
0.500 UL
LTb
4680 479 M
63 0 V
2096 0 R
-63 0 V
4680 932 M
63 0 V
2096 0 R
-63 0 V
4680 1386 M
63 0 V
2096 0 R
-63 0 V
4680 1839 M
63 0 V
2096 0 R
-63 0 V
4680 2292 M
63 0 V
2096 0 R
-63 0 V
4680 252 M
0 63 V
0 2204 R
0 -63 V
4920 252 M
0 63 V
0 2204 R
0 -63 V
5160 252 M
0 63 V
0 2204 R
0 -63 V
5400 252 M
0 63 V
0 2204 R
0 -63 V
5640 252 M
0 63 V
0 2204 R
0 -63 V
5879 252 M
0 63 V
0 2204 R
0 -63 V
6119 252 M
0 63 V
0 2204 R
0 -63 V
6359 252 M
0 63 V
0 2204 R
0 -63 V
6599 252 M
0 63 V
0 2204 R
0 -63 V
6839 252 M
0 63 V
0 2204 R
0 -63 V
stroke
4680 2519 N
0 -2267 V
2159 0 V
0 2267 V
-2159 0 V
Z stroke
LCb setrgbcolor
LTb
LCb setrgbcolor
LTb
0.500 UP
0.500 UL
LTb
0.500 UL
LT0
4682 1520 M
3 182 V
2 0 V
3 1 V
2 81 V
2 -133 V
3 -261 V
2 309 V
3 1 V
2 -266 V
2 135 V
3 82 V
2 -175 V
3 0 V
2 -223 V
2 -44 V
3 309 V
2 3 V
3 -45 V
2 -1 V
2 174 V
3 -483 V
2 180 V
3 -52 V
2 51 V
2 -94 V
3 269 V
2 -395 V
3 524 V
2 -345 V
2 125 V
3 -44 V
2 47 V
3 263 V
2 -86 V
2 -260 V
3 -93 V
2 88 V
3 1 V
2 -6 V
2 312 V
3 -86 V
2 46 V
3 264 V
2 -443 V
2 -138 V
3 44 V
2 -171 V
3 130 V
2 -42 V
2 -44 V
3 673 V
2 -365 V
3 -130 V
2 -46 V
2 270 V
3 -6 V
2 -5 V
3 -169 V
2 -47 V
2 -227 V
3 3 V
2 177 V
3 -127 V
2 308 V
2 -38 V
3 43 V
2 309 V
3 -271 V
2 -304 V
2 173 V
3 -42 V
2 44 V
3 87 V
2 -220 V
2 84 V
3 -137 V
2 358 V
3 -91 V
2 3 V
2 181 V
3 -46 V
2 -89 V
3 222 V
2 -268 V
2 -177 V
3 265 V
2 -221 V
3 -1 V
2 -131 V
2 -94 V
3 45 V
2 3 V
2 -43 V
3 91 V
2 -228 V
3 178 V
2 -178 V
2 93 V
3 78 V
2 -36 V
3 91 V
2 177 V
2 133 V
3 43 V
stroke 4932 1606 M
2 -86 V
3 44 V
2 138 V
2 -48 V
3 -171 V
2 42 V
3 88 V
2 223 V
2 -266 V
3 126 V
2 -354 V
3 -85 V
2 43 V
2 263 V
3 -266 V
2 -267 V
3 398 V
2 41 V
2 -357 V
3 273 V
2 132 V
3 43 V
2 6 V
2 267 V
3 -310 V
2 173 V
3 -88 V
2 133 V
2 -132 V
3 -130 V
2 217 V
3 -313 V
2 45 V
2 1 V
3 -88 V
2 -217 V
3 260 V
2 -40 V
2 174 V
3 -131 V
2 405 V
3 -140 V
2 -135 V
2 -221 V
3 93 V
2 176 V
3 -223 V
2 92 V
2 88 V
3 92 V
2 -182 V
3 -177 V
2 -133 V
2 174 V
3 -222 V
2 316 V
3 217 V
2 -133 V
2 -131 V
3 353 V
2 48 V
3 -176 V
2 130 V
2 -133 V
3 0 V
2 -134 V
3 -48 V
2 137 V
2 -89 V
3 -42 V
2 85 V
3 179 V
2 -8 V
2 52 V
3 -172 V
2 -186 V
3 309 V
2 -532 V
2 133 V
3 1 V
2 369 V
3 -5 V
2 46 V
2 308 V
3 -227 V
2 4 V
3 49 V
2 -2 V
2 -180 V
3 -132 V
2 45 V
3 -88 V
2 306 V
2 -221 V
3 -92 V
2 45 V
3 224 V
2 -43 V
2 43 V
3 -266 V
2 269 V
3 -174 V
2 -136 V
2 222 V
stroke 5181 1614 M
3 -268 V
2 172 V
3 -264 V
2 85 V
2 -130 V
3 169 V
2 229 V
3 -130 V
2 90 V
2 42 V
3 92 V
2 -48 V
3 136 V
2 -42 V
2 -178 V
3 -90 V
2 172 V
3 -82 V
2 -2 V
2 -41 V
3 -5 V
2 221 V
3 -39 V
2 92 V
2 45 V
3 175 V
2 -267 V
3 -87 V
2 310 V
2 179 V
3 -404 V
2 -174 V
3 308 V
2 -1 V
2 -267 V
3 90 V
2 91 V
3 -180 V
2 -176 V
2 89 V
3 44 V
2 -318 V
3 401 V
2 -41 V
2 -48 V
3 -356 V
2 -1 V
3 89 V
2 44 V
2 87 V
3 -174 V
2 175 V
3 -34 V
2 126 V
2 -174 V
3 441 V
2 -132 V
3 -223 V
2 445 V
2 -393 V
3 172 V
2 -357 V
2 267 V
3 -220 V
2 176 V
3 38 V
2 182 V
2 -312 V
3 46 V
2 -397 V
3 352 V
2 -267 V
2 136 V
3 -179 V
2 220 V
3 -45 V
2 90 V
2 218 V
3 -133 V
2 -266 V
3 -137 V
2 97 V
2 265 V
3 45 V
2 224 V
3 -133 V
2 177 V
2 -131 V
3 -179 V
2 222 V
3 133 V
2 -310 V
2 134 V
3 -93 V
2 -46 V
3 -176 V
2 446 V
2 41 V
3 91 V
2 -220 V
3 130 V
2 -397 V
2 267 V
3 44 V
stroke 5431 1699 M
2 -85 V
3 -273 V
2 -42 V
2 -3 V
3 130 V
2 269 V
3 51 V
2 -183 V
2 -43 V
3 83 V
2 95 V
3 -46 V
2 -91 V
2 273 V
3 -451 V
2 92 V
3 2 V
2 41 V
2 140 V
3 45 V
2 -540 V
3 487 V
2 -174 V
2 50 V
3 -46 V
2 -2 V
3 -45 V
2 219 V
2 -128 V
3 124 V
2 -222 V
3 186 V
2 174 V
2 -44 V
3 -535 V
2 358 V
3 218 V
2 -220 V
2 -222 V
3 179 V
2 -184 V
3 89 V
2 91 V
2 44 V
3 -85 V
2 -224 V
3 -1 V
2 93 V
2 215 V
3 -260 V
2 82 V
3 -354 V
2 -86 V
2 262 V
3 180 V
2 -351 V
3 132 V
2 -51 V
2 -85 V
3 355 V
2 -48 V
3 -86 V
2 181 V
2 -45 V
3 -223 V
2 -218 V
3 -353 V
2 389 V
2 -216 V
3 486 V
2 -175 V
3 310 V
2 -4 V
2 -133 V
3 -43 V
2 -136 V
3 -90 V
2 267 V
2 88 V
3 -130 V
2 -216 V
3 -41 V
2 -53 V
2 400 V
3 229 V
2 -135 V
3 225 V
2 133 V
2 -43 V
3 -359 V
2 85 V
3 182 V
2 86 V
2 2 V
3 -223 V
2 -89 V
3 133 V
2 -221 V
2 261 V
3 -130 V
2 -132 V
3 42 V
2 225 V
2 -90 V
stroke 5680 1474 M
3 -91 V
2 -172 V
3 -141 V
2 400 V
2 -262 V
3 88 V
2 1 V
3 85 V
2 -211 V
2 124 V
3 308 V
2 -262 V
3 135 V
2 -2 V
2 3 V
3 -2 V
2 -269 V
3 269 V
2 43 V
2 -136 V
3 -43 V
2 39 V
3 -175 V
2 43 V
2 271 V
3 124 V
2 -124 V
3 -222 V
2 -43 V
2 -41 V
3 -269 V
2 178 V
3 42 V
2 171 V
2 -121 V
3 218 V
2 1 V
2 -92 V
3 -216 V
2 527 V
3 -130 V
2 44 V
2 43 V
3 -353 V
2 397 V
3 4 V
2 -181 V
2 89 V
3 225 V
2 268 V
3 -574 V
2 43 V
2 -51 V
3 -218 V
2 -45 V
3 484 V
2 -400 V
2 -86 V
3 88 V
2 -130 V
3 310 V
2 88 V
2 303 V
3 -261 V
2 -171 V
3 -6 V
2 94 V
2 -267 V
3 80 V
2 45 V
3 49 V
2 41 V
2 93 V
3 -137 V
2 -222 V
3 352 V
2 -355 V
2 266 V
3 -267 V
2 -397 V
3 86 V
2 269 V
2 262 V
3 -397 V
2 399 V
3 -217 V
2 222 V
2 -2 V
3 -305 V
2 81 V
3 225 V
2 -88 V
2 -176 V
3 175 V
2 87 V
3 138 V
2 -127 V
2 -133 V
3 355 V
2 -176 V
3 174 V
2 178 V
2 1 V
3 -313 V
stroke 5930 1523 M
2 42 V
3 -173 V
2 349 V
2 -179 V
3 90 V
2 -87 V
3 -181 V
2 -44 V
2 316 V
3 -94 V
2 -89 V
3 9 V
2 -137 V
2 310 V
3 -49 V
2 0 V
3 -173 V
2 -51 V
2 -170 V
3 129 V
2 -180 V
3 45 V
2 41 V
2 -130 V
3 85 V
2 -220 V
3 356 V
2 -224 V
2 178 V
3 -86 V
2 -40 V
3 432 V
2 -348 V
2 -85 V
3 306 V
2 -181 V
3 407 V
2 -357 V
2 129 V
3 -43 V
2 -219 V
3 181 V
2 -1 V
2 -42 V
3 353 V
2 -45 V
3 -174 V
2 128 V
2 -43 V
3 93 V
2 174 V
3 93 V
2 -227 V
2 -260 V
3 356 V
2 -138 V
3 -175 V
2 -136 V
2 83 V
3 -353 V
2 220 V
3 -47 V
2 398 V
2 -268 V
3 -135 V
2 -91 V
3 -251 V
2 82 V
2 309 V
3 47 V
2 -135 V
3 -82 V
2 -92 V
2 180 V
3 -50 V
2 47 V
3 -47 V
2 7 V
2 37 V
3 6 V
2 85 V
3 -44 V
2 86 V
2 44 V
3 -41 V
2 134 V
3 225 V
2 134 V
2 132 V
3 -311 V
2 -180 V
3 91 V
2 88 V
2 -84 V
3 176 V
2 -183 V
3 -86 V
2 85 V
2 -175 V
3 132 V
2 -357 V
3 312 V
2 4 V
2 1 V
stroke 6179 1477 M
3 -88 V
2 43 V
3 129 V
2 -308 V
2 -2 V
3 -88 V
2 84 V
2 224 V
3 -310 V
2 -44 V
3 178 V
2 97 V
2 349 V
3 -266 V
2 42 V
3 -171 V
2 34 V
2 49 V
3 -44 V
2 -2 V
3 46 V
2 -85 V
2 175 V
3 -265 V
2 307 V
3 -214 V
2 123 V
2 -303 V
3 443 V
2 43 V
3 47 V
2 88 V
2 0 V
3 -311 V
2 -130 V
3 -97 V
2 92 V
2 44 V
3 -1 V
2 -313 V
3 136 V
2 265 V
2 -43 V
3 -178 V
2 -135 V
3 174 V
2 0 V
2 41 V
3 -129 V
2 42 V
3 -350 V
2 221 V
2 179 V
3 83 V
2 -87 V
3 -4 V
2 -43 V
2 43 V
3 -299 V
2 88 V
3 259 V
2 -349 V
2 174 V
3 -46 V
2 182 V
3 -225 V
2 137 V
2 -51 V
3 94 V
2 42 V
3 -535 V
2 135 V
2 -3 V
3 -87 V
2 -263 V
3 215 V
2 -93 V
2 8 V
3 488 V
2 -220 V
3 131 V
2 -42 V
2 220 V
3 177 V
2 -133 V
3 -356 V
2 1 V
2 177 V
3 87 V
2 -87 V
3 42 V
2 -132 V
2 271 V
3 181 V
2 -4 V
3 -178 V
2 132 V
2 -87 V
3 -313 V
2 219 V
3 97 V
2 -134 V
2 221 V
3 266 V
stroke 6429 1694 M
2 -401 V
3 46 V
2 -530 V
2 262 V
3 43 V
2 -87 V
3 43 V
2 42 V
2 531 V
3 -352 V
2 -311 V
3 179 V
2 2 V
2 177 V
3 -87 V
2 221 V
3 -184 V
2 228 V
2 -43 V
3 41 V
2 -218 V
3 220 V
2 354 V
2 -172 V
3 -43 V
2 -182 V
3 46 V
2 88 V
2 -261 V
3 45 V
2 -223 V
3 219 V
2 45 V
2 -180 V
3 395 V
2 -39 V
3 -133 V
2 -88 V
2 45 V
3 178 V
2 -38 V
3 -6 V
2 -1 V
2 42 V
3 -180 V
2 180 V
3 -44 V
2 -47 V
2 -355 V
3 -45 V
2 360 V
3 -91 V
2 224 V
2 86 V
3 -3 V
2 -396 V
3 -45 V
2 -88 V
2 173 V
3 181 V
2 -179 V
3 89 V
2 -90 V
2 -173 V
3 174 V
2 0 V
3 -43 V
2 -266 V
2 2 V
3 1 V
2 -4 V
3 356 V
2 -399 V
2 353 V
3 51 V
2 176 V
3 -42 V
2 265 V
2 5 V
3 -232 V
2 315 V
2 -221 V
3 -2 V
2 85 V
3 -258 V
2 -273 V
2 176 V
3 -353 V
2 173 V
3 219 V
2 -300 V
2 176 V
3 130 V
2 -39 V
3 -139 V
2 -176 V
2 133 V
3 135 V
2 -89 V
3 -45 V
2 82 V
2 -130 V
3 -49 V
2 -263 V
stroke 6678 848 M
3 223 V
2 -1 V
2 2 V
3 132 V
2 130 V
3 -394 V
2 482 V
2 -257 V
3 -183 V
2 314 V
3 132 V
2 -171 V
2 -53 V
3 -264 V
2 88 V
3 529 V
2 87 V
2 -392 V
3 134 V
2 -43 V
3 -134 V
2 0 V
2 -135 V
3 88 V
2 -92 V
3 52 V
2 480 V
2 -393 V
3 218 V
2 -1 V
3 -178 V
2 -173 V
2 174 V
3 -43 V
2 176 V
3 -40 V
2 -133 V
2 355 V
3 -176 V
2 218 V
3 133 V
2 -443 V
2 1 V
3 181 V
2 395 V
3 -534 V
2 225 V
2 -41 V
3 83 V
2 -355 V
3 91 V
2 43 V
2 -46 V
3 176 V
2 97 V
3 -132 V
2 350 V
2 -485 V
3 134 V
2 271 V
3 -3 V
2 8 V
2 401 V
3 93 V
2 -54 V
3 -89 V
2 -400 V
stroke
LT2
4682 1477 M
3 356 V
2 -90 V
3 4 V
2 37 V
2 -131 V
3 -308 V
2 309 V
3 89 V
2 -310 V
2 267 V
3 -48 V
2 -218 V
3 -1 V
2 -180 V
2 87 V
3 222 V
2 -42 V
3 46 V
2 -1 V
2 85 V
3 -396 V
2 93 V
3 -98 V
2 183 V
2 -137 V
3 225 V
2 -350 V
3 435 V
2 -259 V
2 83 V
3 0 V
2 92 V
3 87 V
2 45 V
2 -304 V
3 -183 V
2 222 V
3 -132 V
2 39 V
2 312 V
3 -42 V
2 135 V
3 130 V
2 -395 V
2 -185 V
3 89 V
2 -128 V
3 218 V
2 -130 V
2 -88 V
3 610 V
2 -346 V
3 -86 V
2 0 V
2 179 V
3 38 V
2 -45 V
3 -85 V
2 -90 V
2 -182 V
3 -131 V
2 266 V
3 -39 V
2 263 V
2 -80 V
3 172 V
2 179 V
3 -225 V
2 -307 V
2 219 V
3 -219 V
2 132 V
3 44 V
2 -177 V
2 82 V
3 -45 V
2 224 V
3 -179 V
2 135 V
2 182 V
3 -6 V
2 -131 V
3 179 V
2 -267 V
2 -134 V
3 265 V
2 -176 V
3 -2 V
2 -179 V
2 -47 V
3 49 V
2 -44 V
2 -87 V
3 179 V
2 -184 V
3 136 V
2 -132 V
2 -84 V
3 163 V
2 -81 V
3 136 V
2 132 V
2 130 V
3 5 V
stroke 4932 1520 M
2 2 V
3 -45 V
2 269 V
2 -91 V
3 -42 V
2 -42 V
3 -1 V
2 265 V
2 -222 V
3 83 V
2 -355 V
3 3 V
2 -132 V
2 348 V
3 -351 V
2 -179 V
3 398 V
2 -3 V
2 -271 V
3 274 V
2 91 V
3 88 V
2 -41 V
2 310 V
3 -176 V
2 43 V
3 -137 V
2 48 V
2 -45 V
3 -42 V
2 129 V
3 -222 V
2 -46 V
2 -87 V
3 0 V
2 -217 V
3 172 V
2 4 V
2 174 V
3 -174 V
2 360 V
3 -8 V
2 -135 V
2 -221 V
3 -42 V
2 311 V
3 -224 V
2 134 V
2 4 V
3 180 V
2 -230 V
3 -131 V
2 -132 V
2 219 V
3 -180 V
2 185 V
3 174 V
2 -90 V
2 -41 V
3 308 V
2 45 V
3 -222 V
2 90 V
2 -176 V
3 86 V
2 -259 V
3 78 V
2 186 V
2 -180 V
3 90 V
2 -47 V
3 265 V
2 -53 V
2 54 V
3 -175 V
2 -226 V
3 217 V
2 -265 V
2 0 V
3 47 V
2 542 V
3 -268 V
2 43 V
2 268 V
3 -138 V
2 2 V
3 49 V
2 131 V
2 -313 V
3 -90 V
2 47 V
3 -132 V
2 220 V
2 -47 V
3 -91 V
2 -131 V
3 182 V
2 86 V
2 87 V
3 -310 V
2 267 V
3 -217 V
2 -48 V
2 222 V
stroke 5181 1657 M
3 -224 V
2 85 V
3 -222 V
2 -41 V
2 86 V
3 40 V
2 269 V
3 -130 V
2 -133 V
2 264 V
3 94 V
2 -92 V
3 91 V
2 -41 V
2 -89 V
3 -178 V
2 302 V
3 -125 V
2 -45 V
2 3 V
3 -49 V
2 135 V
3 0 V
2 50 V
2 90 V
3 131 V
2 -180 V
3 -221 V
2 399 V
2 224 V
3 -273 V
2 -260 V
3 261 V
2 46 V
2 -312 V
3 89 V
2 92 V
3 -223 V
2 -266 V
2 349 V
3 -41 V
2 -315 V
3 399 V
2 -39 V
2 -93 V
3 -400 V
2 43 V
3 136 V
2 131 V
2 -45 V
3 -1 V
2 -43 V
3 96 V
2 128 V
2 -221 V
3 401 V
2 -135 V
3 -267 V
2 490 V
2 -348 V
3 127 V
2 -403 V
2 313 V
3 -177 V
2 92 V
3 168 V
2 50 V
2 -313 V
3 -43 V
2 -128 V
3 86 V
2 -227 V
2 181 V
3 -45 V
2 0 V
3 87 V
2 90 V
2 220 V
3 -180 V
2 -310 V
3 -134 V
2 271 V
2 175 V
3 3 V
2 355 V
3 -221 V
2 135 V
2 -91 V
3 -174 V
2 220 V
3 90 V
2 -223 V
2 90 V
3 -95 V
2 -1 V
3 -174 V
2 315 V
2 82 V
3 5 V
2 -133 V
3 173 V
2 -398 V
2 223 V
3 45 V
stroke 5431 1655 M
2 46 V
3 -314 V
2 0 V
2 -44 V
3 83 V
2 313 V
3 -80 V
2 -230 V
2 90 V
3 87 V
2 137 V
3 -139 V
2 -132 V
2 318 V
3 -319 V
2 -40 V
3 2 V
2 130 V
2 92 V
3 48 V
2 -407 V
3 179 V
2 1 V
2 51 V
3 -92 V
2 0 V
3 43 V
2 129 V
2 -83 V
3 122 V
2 -218 V
3 184 V
2 174 V
2 -43 V
3 -623 V
2 446 V
3 175 V
2 -225 V
2 -175 V
3 136 V
2 -141 V
3 -85 V
2 265 V
2 -45 V
3 3 V
2 -225 V
3 2 V
2 46 V
2 350 V
3 -436 V
2 124 V
3 -348 V
2 -47 V
2 175 V
3 179 V
2 -178 V
3 46 V
2 -46 V
2 -45 V
3 311 V
2 -136 V
3 1 V
2 226 V
2 -176 V
3 -136 V
2 -177 V
3 -260 V
2 210 V
2 -173 V
3 400 V
2 -44 V
3 355 V
2 -93 V
2 -220 V
3 45 V
2 -90 V
3 -91 V
2 221 V
2 91 V
3 -175 V
2 -39 V
3 -176 V
2 -52 V
2 358 V
3 226 V
2 -89 V
3 180 V
2 221 V
2 44 V
3 -490 V
2 44 V
3 266 V
2 -2 V
2 -41 V
3 -180 V
2 0 V
3 89 V
2 -222 V
2 307 V
3 -262 V
2 -44 V
3 -4 V
2 179 V
2 -86 V
stroke 5680 1387 M
3 40 V
2 -173 V
3 -273 V
2 491 V
2 -220 V
3 87 V
2 -87 V
3 219 V
2 -212 V
2 38 V
3 350 V
2 -308 V
3 137 V
2 -47 V
2 49 V
3 -47 V
2 -269 V
3 401 V
2 -45 V
2 -180 V
3 44 V
2 40 V
3 -176 V
2 -45 V
2 317 V
3 -11 V
2 -78 V
3 -179 V
2 -42 V
2 47 V
3 -309 V
2 174 V
3 174 V
2 85 V
2 -124 V
3 173 V
2 0 V
2 -132 V
3 -263 V
2 527 V
3 -40 V
2 87 V
2 -130 V
3 -179 V
2 310 V
3 50 V
2 -97 V
2 -87 V
3 267 V
2 316 V
3 -621 V
2 45 V
2 -95 V
3 -130 V
2 131 V
3 218 V
2 -176 V
2 -51 V
3 -82 V
2 -174 V
3 221 V
2 132 V
2 306 V
3 -261 V
2 -40 V
3 -51 V
2 95 V
2 -178 V
3 34 V
2 -43 V
3 94 V
2 130 V
2 89 V
3 -177 V
2 -265 V
3 351 V
2 -358 V
2 182 V
3 -224 V
2 -391 V
3 -8 V
2 444 V
2 221 V
3 -444 V
2 443 V
3 -260 V
2 260 V
2 -126 V
3 -178 V
2 128 V
3 225 V
2 -129 V
2 -137 V
3 131 V
2 42 V
3 230 V
2 -37 V
2 -269 V
3 310 V
2 -131 V
3 41 V
2 310 V
2 1 V
3 -312 V
stroke 5930 1523 M
2 173 V
3 -304 V
2 303 V
2 -44 V
3 1 V
2 -42 V
3 -136 V
2 -176 V
2 357 V
3 -137 V
2 -86 V
3 178 V
2 -177 V
2 265 V
3 43 V
2 -179 V
3 -132 V
2 -5 V
2 -172 V
3 175 V
2 -265 V
3 174 V
2 -131 V
2 -90 V
3 -1 V
2 -89 V
3 311 V
2 -88 V
2 40 V
3 -83 V
2 -129 V
3 434 V
2 -261 V
2 -130 V
3 263 V
2 -48 V
3 319 V
2 -315 V
2 133 V
3 -89 V
2 -86 V
3 51 V
2 84 V
2 -87 V
3 353 V
2 0 V
3 -309 V
2 218 V
2 -130 V
3 180 V
2 130 V
3 135 V
2 -223 V
2 -217 V
3 311 V
2 -182 V
3 1 V
2 -181 V
2 -5 V
3 -352 V
2 265 V
3 -48 V
2 269 V
2 -140 V
3 -221 V
2 -90 V
3 -165 V
2 39 V
2 308 V
3 88 V
2 -221 V
3 -37 V
2 -91 V
2 179 V
3 -6 V
2 47 V
3 -178 V
2 135 V
2 -91 V
3 48 V
2 -2 V
3 45 V
2 130 V
2 -43 V
3 2 V
2 134 V
3 267 V
2 90 V
2 90 V
3 -180 V
2 -226 V
3 135 V
2 46 V
2 -40 V
3 132 V
2 -226 V
3 -43 V
2 41 V
2 -130 V
3 175 V
2 -356 V
3 224 V
2 134 V
2 -86 V
stroke 6179 1477 M
3 -88 V
2 -46 V
3 219 V
2 -265 V
2 -131 V
3 41 V
2 218 V
2 47 V
3 -399 V
2 0 V
3 223 V
2 10 V
2 478 V
3 -309 V
2 0 V
3 -175 V
2 -51 V
2 224 V
3 -87 V
2 41 V
3 -42 V
2 -41 V
2 220 V
3 -354 V
2 308 V
3 -87 V
2 40 V
2 -215 V
3 265 V
2 132 V
3 -39 V
2 174 V
2 177 V
3 -488 V
2 -219 V
3 36 V
2 48 V
2 45 V
3 41 V
2 -357 V
3 181 V
2 265 V
2 -176 V
3 -89 V
2 -91 V
3 174 V
2 -132 V
2 218 V
3 -220 V
2 1 V
3 -262 V
2 220 V
2 88 V
3 172 V
2 -174 V
3 -2 V
2 0 V
2 -44 V
3 -258 V
2 178 V
3 304 V
2 -484 V
2 176 V
3 45 V
2 178 V
3 -311 V
2 223 V
2 -93 V
3 49 V
2 -2 V
3 -490 V
2 177 V
2 -2 V
3 -128 V
2 -223 V
3 216 V
2 -48 V
2 -39 V
3 490 V
2 -88 V
3 -44 V
2 1 V
2 89 V
3 262 V
2 -87 V
3 -401 V
2 47 V
2 89 V
3 173 V
2 -130 V
3 88 V
2 -179 V
2 271 V
3 269 V
2 -136 V
3 -133 V
2 -41 V
2 86 V
3 -180 V
2 44 V
3 95 V
2 -1 V
2 131 V
3 264 V
stroke 6429 1647 M
2 -395 V
3 -2 V
2 -355 V
2 175 V
3 -43 V
2 -1 V
3 -1 V
2 220 V
2 355 V
3 -353 V
2 -353 V
3 309 V
2 -84 V
2 175 V
3 -43 V
2 178 V
3 -181 V
2 312 V
2 -176 V
3 218 V
2 -305 V
3 174 V
2 357 V
2 -174 V
3 -40 V
2 -51 V
3 -43 V
2 43 V
2 -130 V
3 -45 V
2 -217 V
3 216 V
2 89 V
2 -223 V
3 482 V
2 -127 V
3 -46 V
2 -132 V
2 2 V
3 89 V
2 6 V
3 -6 V
2 44 V
2 42 V
3 -135 V
2 222 V
3 -89 V
2 -88 V
2 -312 V
3 -90 V
2 317 V
3 -91 V
2 311 V
2 87 V
3 -90 V
2 -308 V
3 -47 V
2 -134 V
2 88 V
3 225 V
2 -134 V
3 44 V
2 -133 V
2 -87 V
3 174 V
2 -41 V
3 2 V
2 -314 V
2 -87 V
3 265 V
2 -180 V
3 402 V
2 -312 V
2 266 V
3 94 V
2 43 V
3 92 V
2 177 V
2 49 V
3 -186 V
2 227 V
2 -224 V
3 -2 V
2 42 V
3 -127 V
2 -315 V
2 175 V
3 -309 V
2 129 V
3 88 V
2 -125 V
2 87 V
3 -1 V
2 138 V
3 -99 V
2 -128 V
2 -1 V
3 352 V
2 -263 V
3 2 V
2 -8 V
2 -217 V
3 172 V
2 -352 V
stroke 6678 848 M
3 223 V
2 -2 V
2 92 V
3 -1 V
2 129 V
3 -215 V
2 394 V
2 -303 V
3 -6 V
2 94 V
3 218 V
2 -133 V
2 -134 V
3 -353 V
2 134 V
3 483 V
2 132 V
2 -304 V
3 90 V
2 1 V
3 -137 V
2 2 V
2 -178 V
3 88 V
2 -48 V
3 224 V
2 221 V
2 -308 V
3 219 V
2 -88 V
3 -89 V
2 -218 V
2 131 V
3 132 V
2 0 V
3 4 V
2 -178 V
2 399 V
3 -132 V
2 44 V
3 262 V
2 -399 V
2 -86 V
3 138 V
2 353 V
3 -533 V
2 355 V
2 47 V
3 -6 V
2 -266 V
3 47 V
2 -46 V
2 -2 V
3 178 V
2 140 V
3 -133 V
2 221 V
2 -400 V
3 267 V
2 137 V
3 42 V
2 92 V
2 226 V
3 187 V
2 -59 V
3 -130 V
2 -401 V
stroke
LTa
4680 1386 M
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
stroke
LTb
4680 2519 N
0 -2267 V
2159 0 V
0 2267 V
-2159 0 V
Z stroke
0.500 UP
0.500 UL
LTb
0.500 UL
LTb
360 2747 M
63 0 V
2096 0 R
-63 0 V
360 3200 M
63 0 V
2096 0 R
-63 0 V
360 3654 M
63 0 V
2096 0 R
-63 0 V
360 4107 M
63 0 V
2096 0 R
-63 0 V
360 4560 M
63 0 V
2096 0 R
-63 0 V
360 2520 M
0 63 V
0 2204 R
0 -63 V
600 2520 M
0 63 V
0 2204 R
0 -63 V
840 2520 M
0 63 V
0 2204 R
0 -63 V
1080 2520 M
0 63 V
0 2204 R
0 -63 V
1320 2520 M
0 63 V
0 2204 R
0 -63 V
1559 2520 M
0 63 V
0 2204 R
0 -63 V
1799 2520 M
0 63 V
0 2204 R
0 -63 V
2039 2520 M
0 63 V
0 2204 R
0 -63 V
2279 2520 M
0 63 V
0 2204 R
0 -63 V
2519 2520 M
0 63 V
0 2204 R
0 -63 V
stroke
360 4787 N
0 -2267 V
2159 0 V
0 2267 V
-2159 0 V
Z stroke
LCb setrgbcolor
LTb
LCb setrgbcolor
LTb
0.500 UP
0.500 UL
LTb
0.500 UL
LT0
362 3474 M
3 181 V
2 -204 V
3 157 V
2 223 V
2 2 V
3 141 V
2 -152 V
3 76 V
2 253 V
2 -318 V
3 134 V
2 -357 V
3 218 V
2 99 V
2 60 V
3 -198 V
2 221 V
3 -224 V
2 5 V
2 -184 V
3 157 V
2 82 V
3 -209 V
2 -75 V
2 -111 V
3 -58 V
2 0 V
3 0 V
2 106 V
2 -3 V
3 141 V
2 -118 V
3 -17 V
2 473 V
2 0 V
3 -95 V
2 41 V
3 -21 V
2 -83 V
2 -5 V
3 72 V
2 -232 V
3 -133 V
2 260 V
2 -227 V
3 -78 V
2 -121 V
3 2 V
2 26 V
2 -66 V
3 -83 V
2 396 V
3 -207 V
2 171 V
2 35 V
3 -333 V
2 71 V
3 129 V
2 -105 V
2 240 V
3 0 V
2 -242 V
3 68 V
2 85 V
2 -26 V
3 136 V
2 4 V
3 22 V
2 173 V
2 -20 V
3 14 V
2 -185 V
3 38 V
2 178 V
2 -67 V
3 -133 V
2 82 V
3 33 V
2 -132 V
2 -199 V
3 35 V
2 -229 V
3 297 V
2 1 V
2 0 V
3 -84 V
2 181 V
3 -51 V
2 -88 V
2 140 V
3 -52 V
2 210 V
2 108 V
3 -8 V
2 -189 V
3 56 V
2 -156 V
2 152 V
3 -228 V
2 -15 V
3 -333 V
2 227 V
2 27 V
3 115 V
stroke 612 3574 M
2 -196 V
3 -89 V
2 142 V
2 2 V
3 253 V
2 4 V
3 -155 V
2 210 V
2 -23 V
3 -25 V
2 0 V
3 -407 V
2 119 V
2 113 V
3 54 V
2 -84 V
3 0 V
2 67 V
2 -85 V
3 23 V
2 163 V
3 -6 V
2 -92 V
2 205 V
3 -25 V
2 219 V
3 -241 V
2 247 V
2 -112 V
3 158 V
2 -7 V
3 297 V
2 -268 V
2 -86 V
3 -175 V
2 47 V
3 -146 V
2 11 V
2 126 V
3 -91 V
2 -180 V
3 66 V
2 -146 V
2 173 V
3 62 V
2 -247 V
3 67 V
2 -1 V
2 114 V
3 -48 V
2 11 V
3 -74 V
2 0 V
2 -135 V
3 27 V
2 202 V
3 -295 V
2 88 V
2 47 V
3 -95 V
2 205 V
3 49 V
2 -251 V
2 92 V
3 -69 V
2 30 V
3 28 V
2 -35 V
2 203 V
3 0 V
2 22 V
3 -8 V
2 27 V
2 -143 V
3 126 V
2 128 V
3 -287 V
2 88 V
2 -182 V
3 0 V
2 25 V
3 -27 V
2 270 V
2 50 V
3 -178 V
2 46 V
3 -96 V
2 126 V
2 12 V
3 22 V
2 -8 V
3 -152 V
2 -262 V
2 177 V
3 155 V
2 -148 V
3 218 V
2 24 V
2 94 V
3 -158 V
2 0 V
3 -188 V
2 -45 V
2 114 V
stroke 861 3451 M
3 132 V
2 -108 V
3 0 V
2 -26 V
2 22 V
3 -19 V
2 -64 V
3 -7 V
2 232 V
2 -27 V
3 46 V
2 -91 V
3 119 V
2 -255 V
2 -83 V
3 18 V
2 0 V
3 190 V
2 0 V
2 14 V
3 86 V
2 13 V
3 -133 V
2 -83 V
2 99 V
3 32 V
2 78 V
3 18 V
2 87 V
2 -19 V
3 81 V
2 194 V
3 -6 V
2 0 V
2 -7 V
3 177 V
2 77 V
3 -269 V
2 -318 V
2 46 V
3 114 V
2 -192 V
3 18 V
2 234 V
2 -208 V
3 248 V
2 -186 V
3 222 V
2 -19 V
2 4 V
3 -142 V
2 47 V
3 16 V
2 -47 V
2 -57 V
3 88 V
2 -20 V
3 0 V
2 200 V
2 -52 V
3 91 V
2 -277 V
2 12 V
3 -2 V
2 0 V
3 2 V
2 -205 V
2 -53 V
3 -128 V
2 177 V
3 -41 V
2 0 V
2 106 V
3 5 V
2 -250 V
3 200 V
2 75 V
2 93 V
3 20 V
2 -36 V
3 8 V
2 -42 V
2 -335 V
3 137 V
2 -57 V
3 -33 V
2 150 V
2 -239 V
3 0 V
2 -16 V
3 299 V
2 92 V
2 18 V
3 0 V
2 -60 V
3 -43 V
2 194 V
2 -217 V
3 -1 V
2 43 V
3 68 V
2 161 V
2 -99 V
3 24 V
stroke 1111 3806 M
2 -62 V
3 157 V
2 -139 V
2 49 V
3 -69 V
2 196 V
3 -199 V
2 23 V
2 -221 V
3 0 V
2 -68 V
3 250 V
2 -2 V
2 -324 V
3 -100 V
2 333 V
3 53 V
2 0 V
2 93 V
3 -76 V
2 21 V
3 -176 V
2 223 V
2 133 V
3 3 V
2 104 V
3 28 V
2 -244 V
2 66 V
3 -48 V
2 5 V
3 108 V
2 -265 V
2 129 V
3 95 V
2 -159 V
3 -68 V
2 23 V
2 -155 V
3 -28 V
2 257 V
3 -73 V
2 0 V
2 -139 V
3 88 V
2 47 V
3 4 V
2 79 V
2 -146 V
3 121 V
2 -123 V
3 -67 V
2 107 V
2 79 V
3 57 V
2 -12 V
3 198 V
2 51 V
2 -102 V
3 -264 V
2 40 V
3 111 V
2 -42 V
2 -92 V
3 98 V
2 109 V
3 132 V
2 -149 V
2 -163 V
3 -1 V
2 -147 V
3 199 V
2 11 V
2 30 V
3 213 V
2 -131 V
3 0 V
2 77 V
2 -215 V
3 252 V
2 -125 V
3 84 V
2 0 V
2 -152 V
3 149 V
2 -93 V
3 224 V
2 -310 V
2 92 V
3 -110 V
2 63 V
3 194 V
2 -35 V
2 44 V
3 -8 V
2 89 V
3 -173 V
2 -91 V
2 -57 V
3 99 V
2 -84 V
3 43 V
2 -1 V
2 -151 V
stroke 1360 3680 M
3 262 V
2 -200 V
3 159 V
2 39 V
2 31 V
3 -29 V
2 -109 V
3 0 V
2 -126 V
2 -205 V
3 -20 V
2 241 V
3 0 V
2 -27 V
2 -282 V
3 -121 V
2 359 V
3 -25 V
2 0 V
2 49 V
3 0 V
2 0 V
3 -1 V
2 -266 V
2 172 V
3 -197 V
2 109 V
3 -118 V
2 178 V
2 145 V
3 21 V
2 47 V
3 61 V
2 -133 V
2 3 V
3 -46 V
2 137 V
2 0 V
3 -2 V
2 -134 V
3 -136 V
2 -111 V
2 -334 V
3 101 V
2 -13 V
3 134 V
2 -44 V
2 -107 V
3 281 V
2 -66 V
3 92 V
2 -24 V
2 22 V
3 -63 V
2 -110 V
3 247 V
2 -132 V
2 -153 V
3 137 V
2 7 V
3 -97 V
2 -93 V
2 -73 V
3 66 V
2 116 V
3 -163 V
2 189 V
2 131 V
3 99 V
2 234 V
3 -121 V
2 -57 V
2 -43 V
3 17 V
2 -88 V
3 271 V
2 44 V
2 -15 V
3 -52 V
2 -18 V
3 265 V
2 -124 V
2 47 V
3 7 V
2 27 V
3 67 V
2 100 V
2 -106 V
3 -450 V
2 162 V
3 39 V
2 -174 V
2 24 V
3 41 V
2 -45 V
3 130 V
2 -135 V
2 -71 V
3 -37 V
2 56 V
3 66 V
2 -120 V
2 97 V
3 172 V
stroke 1610 3765 M
2 -65 V
3 0 V
2 150 V
2 -149 V
3 -186 V
2 -86 V
3 285 V
2 50 V
2 -75 V
3 37 V
2 14 V
3 -222 V
2 334 V
2 -130 V
3 52 V
2 -139 V
3 197 V
2 0 V
2 -78 V
3 -339 V
2 87 V
3 -7 V
2 139 V
2 107 V
3 -291 V
2 -94 V
3 185 V
2 88 V
2 89 V
3 -109 V
2 62 V
3 -15 V
2 132 V
2 -129 V
3 78 V
2 8 V
3 -117 V
2 -145 V
2 81 V
3 -12 V
2 -64 V
3 363 V
2 -291 V
2 45 V
3 -132 V
2 -105 V
3 63 V
2 -166 V
2 0 V
3 140 V
2 -51 V
3 -169 V
2 85 V
2 138 V
3 354 V
2 0 V
3 -136 V
2 92 V
2 26 V
3 115 V
2 19 V
3 0 V
2 -208 V
2 67 V
3 -112 V
2 88 V
3 -160 V
2 0 V
2 -73 V
3 261 V
2 -292 V
3 -151 V
2 -187 V
2 161 V
3 374 V
2 -161 V
3 -125 V
2 86 V
2 82 V
3 -187 V
2 15 V
3 320 V
2 -267 V
2 241 V
3 37 V
2 -29 V
3 -76 V
2 -16 V
2 75 V
3 -60 V
2 46 V
3 -88 V
2 0 V
2 -76 V
3 171 V
2 -118 V
3 -64 V
2 -25 V
2 297 V
3 -124 V
2 -241 V
3 93 V
2 107 V
2 -17 V
stroke 1859 3542 M
3 119 V
2 57 V
3 -90 V
2 -43 V
2 245 V
3 -268 V
2 22 V
2 138 V
3 -250 V
2 203 V
3 -66 V
2 -110 V
2 -162 V
3 70 V
2 48 V
3 33 V
2 8 V
2 153 V
3 -82 V
2 -84 V
3 41 V
2 -69 V
2 -233 V
3 -14 V
2 -28 V
3 292 V
2 -133 V
2 206 V
3 -1 V
2 91 V
3 -60 V
2 139 V
2 -132 V
3 25 V
2 -46 V
3 15 V
2 140 V
2 3 V
3 92 V
2 0 V
3 23 V
2 -90 V
2 117 V
3 -230 V
2 -86 V
3 -93 V
2 -26 V
2 66 V
3 -89 V
2 36 V
3 -10 V
2 -89 V
2 219 V
3 -8 V
2 214 V
3 -225 V
2 -177 V
2 -69 V
3 -137 V
2 19 V
3 113 V
2 1 V
2 299 V
3 0 V
2 -203 V
3 -160 V
2 361 V
2 -166 V
3 -82 V
2 385 V
3 -28 V
2 -140 V
2 -146 V
3 -45 V
2 36 V
3 -119 V
2 126 V
2 21 V
3 15 V
2 36 V
3 -207 V
2 178 V
2 -359 V
3 48 V
2 79 V
3 -89 V
2 74 V
2 227 V
3 -34 V
2 14 V
3 53 V
2 151 V
2 95 V
3 -365 V
2 124 V
3 -144 V
2 127 V
2 -90 V
3 21 V
2 203 V
3 111 V
2 -134 V
2 64 V
3 0 V
stroke 2109 3627 M
2 95 V
3 124 V
2 104 V
2 0 V
3 -87 V
2 -131 V
3 53 V
2 0 V
2 -39 V
3 265 V
2 -154 V
3 -163 V
2 -60 V
2 61 V
3 113 V
2 133 V
3 -90 V
2 245 V
2 -262 V
3 0 V
2 135 V
3 -154 V
2 2 V
2 0 V
3 -116 V
2 0 V
3 -319 V
2 339 V
2 110 V
3 -104 V
2 59 V
3 204 V
2 -207 V
2 -26 V
3 -213 V
2 81 V
3 24 V
2 -44 V
2 -124 V
3 105 V
2 11 V
3 -72 V
2 44 V
2 -95 V
3 248 V
2 -287 V
3 27 V
2 146 V
2 -262 V
3 102 V
2 184 V
3 -321 V
2 116 V
2 -53 V
3 229 V
2 -134 V
3 90 V
2 -12 V
2 -58 V
3 -107 V
2 -21 V
3 228 V
2 30 V
2 212 V
3 -342 V
2 74 V
3 115 V
2 -162 V
2 113 V
3 75 V
2 61 V
3 -248 V
2 25 V
2 -183 V
3 47 V
2 -48 V
3 0 V
2 118 V
2 -160 V
3 223 V
2 0 V
2 120 V
3 81 V
2 -152 V
3 178 V
2 66 V
2 -204 V
3 -126 V
2 241 V
3 -149 V
2 0 V
2 0 V
3 109 V
2 0 V
3 -2 V
2 240 V
2 -217 V
3 26 V
2 -442 V
3 143 V
2 -90 V
2 -7 V
3 50 V
2 -89 V
stroke 2358 3315 M
3 113 V
2 71 V
2 -21 V
3 -46 V
2 -233 V
3 71 V
2 68 V
2 -155 V
3 -27 V
2 133 V
3 183 V
2 -74 V
2 -235 V
3 327 V
2 188 V
3 -71 V
2 -73 V
2 143 V
3 51 V
2 39 V
3 136 V
2 -228 V
2 116 V
3 244 V
2 -164 V
3 -197 V
2 48 V
2 15 V
3 -17 V
2 -269 V
3 84 V
2 -117 V
2 342 V
3 85 V
2 13 V
3 -249 V
2 -51 V
2 -130 V
3 35 V
2 60 V
3 67 V
2 90 V
2 66 V
3 -24 V
2 -69 V
3 89 V
2 70 V
2 176 V
3 -216 V
2 150 V
3 23 V
2 49 V
2 -72 V
3 -70 V
2 -38 V
3 224 V
2 -87 V
2 0 V
3 -70 V
2 -46 V
3 -25 V
2 28 V
2 56 V
3 21 V
2 -191 V
3 -5 V
2 0 V
stroke
LT2
362 3411 M
3 180 V
2 -115 V
3 219 V
2 93 V
2 -2 V
3 213 V
2 -61 V
3 -141 V
2 278 V
2 -266 V
3 20 V
2 -176 V
3 184 V
2 82 V
2 12 V
3 -52 V
2 66 V
3 -160 V
2 -7 V
2 -148 V
3 22 V
2 117 V
3 -112 V
2 -116 V
2 -179 V
3 38 V
2 0 V
3 0 V
2 12 V
2 170 V
3 -62 V
2 -17 V
3 5 V
2 531 V
2 0 V
3 -112 V
2 -27 V
3 -111 V
2 71 V
2 -3 V
3 -21 V
2 -97 V
3 -130 V
2 180 V
2 -346 V
3 69 V
2 -193 V
3 18 V
2 9 V
2 -33 V
3 57 V
2 198 V
3 -157 V
2 251 V
2 -144 V
3 -292 V
2 193 V
3 54 V
2 -68 V
2 249 V
3 0 V
2 -179 V
3 -23 V
2 155 V
2 -88 V
3 145 V
2 34 V
3 -24 V
2 91 V
2 82 V
3 -101 V
2 -35 V
3 -68 V
2 267 V
2 -193 V
3 -12 V
2 -12 V
3 -15 V
2 -185 V
2 8 V
3 -75 V
2 -69 V
3 182 V
2 67 V
2 0 V
3 -85 V
2 115 V
3 -121 V
2 -85 V
2 234 V
3 -73 V
2 285 V
2 48 V
3 66 V
2 -188 V
3 -98 V
2 -52 V
2 65 V
3 -131 V
2 -86 V
3 -217 V
2 103 V
2 50 V
3 48 V
stroke 612 3484 M
2 -136 V
3 15 V
2 44 V
2 45 V
3 222 V
2 -24 V
3 -114 V
2 191 V
2 39 V
3 -21 V
2 0 V
3 -388 V
2 117 V
2 56 V
3 0 V
2 28 V
3 0 V
2 47 V
2 -152 V
3 130 V
2 27 V
3 124 V
2 -52 V
2 86 V
3 -81 V
2 256 V
3 -180 V
2 157 V
2 -86 V
3 114 V
2 43 V
3 271 V
2 -291 V
2 -45 V
3 -71 V
2 -127 V
3 -119 V
2 158 V
2 89 V
3 -90 V
2 -248 V
3 111 V
2 -198 V
2 148 V
3 133 V
2 -174 V
3 -26 V
2 28 V
2 44 V
3 -18 V
2 27 V
3 -126 V
2 0 V
2 33 V
3 -47 V
2 53 V
3 -119 V
2 -68 V
2 133 V
3 -29 V
2 8 V
3 169 V
2 -222 V
2 4 V
3 -113 V
2 -15 V
3 216 V
2 -44 V
2 110 V
3 0 V
2 70 V
3 -5 V
2 43 V
2 -84 V
3 103 V
2 -14 V
3 -132 V
2 -19 V
2 -163 V
3 0 V
2 92 V
3 -96 V
2 255 V
2 205 V
3 -383 V
2 182 V
3 -64 V
2 81 V
2 50 V
3 -44 V
2 14 V
3 -68 V
2 -351 V
2 158 V
3 204 V
2 -139 V
3 115 V
2 -55 V
2 221 V
3 -186 V
2 0 V
3 -122 V
2 -135 V
2 202 V
stroke 861 3471 M
3 25 V
2 -102 V
3 0 V
2 -9 V
2 148 V
3 -106 V
2 -12 V
3 52 V
2 96 V
2 25 V
3 -33 V
2 -15 V
3 141 V
2 -166 V
2 -133 V
3 -18 V
2 0 V
3 142 V
2 0 V
2 147 V
3 19 V
2 -17 V
3 -43 V
2 -164 V
2 147 V
3 -31 V
2 81 V
3 54 V
2 -18 V
2 -26 V
3 248 V
2 115 V
3 45 V
2 0 V
2 -73 V
3 157 V
2 92 V
3 -265 V
2 -364 V
2 -4 V
3 205 V
2 -146 V
3 -42 V
2 93 V
2 70 V
3 156 V
2 -309 V
3 390 V
2 -49 V
2 -6 V
3 -175 V
2 42 V
3 110 V
2 -220 V
2 118 V
3 19 V
2 1 V
3 0 V
2 245 V
2 -140 V
3 131 V
2 -419 V
2 88 V
3 44 V
2 0 V
3 3 V
2 -229 V
2 -189 V
3 77 V
2 64 V
3 -43 V
2 30 V
2 99 V
3 30 V
2 -176 V
3 167 V
2 115 V
2 57 V
3 -75 V
2 2 V
3 -3 V
2 -77 V
2 -230 V
3 130 V
2 -134 V
3 28 V
2 105 V
2 -108 V
3 0 V
2 -70 V
3 292 V
2 -29 V
2 157 V
3 0 V
2 -92 V
3 -107 V
2 272 V
2 -147 V
3 -82 V
2 89 V
3 -38 V
2 199 V
2 -158 V
3 -20 V
stroke 1111 3721 M
2 27 V
3 149 V
2 -14 V
2 -96 V
3 -66 V
2 241 V
3 -199 V
2 62 V
2 -352 V
3 0 V
2 -23 V
3 108 V
2 71 V
2 -206 V
3 -15 V
2 156 V
3 85 V
2 0 V
2 161 V
3 -171 V
2 149 V
3 -221 V
2 201 V
2 179 V
3 44 V
2 -43 V
3 -66 V
2 -126 V
2 99 V
3 -87 V
2 75 V
3 101 V
2 -221 V
2 -25 V
3 182 V
2 -242 V
3 -5 V
2 69 V
2 -220 V
3 18 V
2 176 V
3 -86 V
2 0 V
2 -50 V
3 149 V
2 -39 V
3 72 V
2 19 V
2 -68 V
3 136 V
2 -290 V
3 -44 V
2 104 V
2 94 V
3 23 V
2 74 V
3 220 V
2 -24 V
2 -131 V
3 -220 V
2 82 V
3 20 V
2 50 V
2 -159 V
3 225 V
2 42 V
3 163 V
2 -161 V
2 -121 V
3 2 V
2 -182 V
3 62 V
2 194 V
2 5 V
3 129 V
2 30 V
3 0 V
2 -111 V
2 -29 V
3 37 V
2 -30 V
3 26 V
2 0 V
2 -54 V
3 42 V
2 -44 V
3 248 V
2 -295 V
2 90 V
3 -178 V
2 66 V
3 226 V
2 26 V
2 -54 V
3 94 V
2 25 V
3 -176 V
2 -116 V
2 62 V
3 22 V
2 -88 V
3 -21 V
2 -1 V
2 -84 V
stroke 1360 3679 M
3 265 V
2 -270 V
3 154 V
2 -30 V
2 98 V
3 49 V
2 -125 V
3 0 V
2 -168 V
2 -154 V
3 -5 V
2 239 V
3 0 V
2 14 V
2 -313 V
3 -188 V
2 447 V
3 -122 V
2 0 V
2 -32 V
3 0 V
2 0 V
3 163 V
2 -73 V
2 -21 V
3 -159 V
2 126 V
3 -212 V
2 68 V
2 200 V
3 199 V
2 -87 V
3 156 V
2 -109 V
2 -113 V
3 -36 V
2 149 V
2 0 V
3 -112 V
2 -65 V
3 -56 V
2 -143 V
2 -271 V
3 84 V
2 -86 V
3 123 V
2 -15 V
2 1 V
3 157 V
2 19 V
3 -65 V
2 88 V
2 -66 V
3 90 V
2 -221 V
3 204 V
2 -138 V
2 -68 V
3 161 V
2 33 V
3 -108 V
2 -161 V
2 -15 V
3 22 V
2 92 V
3 -146 V
2 212 V
2 134 V
3 154 V
2 92 V
3 -47 V
2 -22 V
2 -97 V
3 52 V
2 -64 V
3 159 V
2 88 V
2 90 V
3 -46 V
2 -123 V
3 238 V
2 -59 V
2 13 V
3 68 V
2 46 V
3 -32 V
2 87 V
2 -35 V
3 -450 V
2 69 V
3 135 V
2 -224 V
2 -1 V
3 88 V
2 20 V
3 67 V
2 -22 V
2 -106 V
3 -166 V
2 138 V
3 25 V
2 -135 V
2 160 V
3 93 V
stroke 1610 3726 M
2 12 V
3 0 V
2 42 V
2 -153 V
3 -46 V
2 -217 V
3 356 V
2 107 V
2 -197 V
3 81 V
2 31 V
3 -181 V
2 315 V
2 -28 V
3 -95 V
2 -75 V
3 124 V
2 0 V
2 -44 V
3 -279 V
2 38 V
3 71 V
2 63 V
2 69 V
3 -292 V
2 19 V
3 161 V
2 27 V
2 29 V
3 76 V
2 -21 V
3 -63 V
2 135 V
2 -227 V
3 154 V
2 27 V
3 -182 V
2 -25 V
2 6 V
3 65 V
2 -72 V
3 271 V
2 -236 V
2 12 V
3 -103 V
2 -9 V
3 -60 V
2 -112 V
2 0 V
3 75 V
2 -41 V
3 -42 V
2 92 V
2 89 V
3 334 V
2 0 V
3 -153 V
2 46 V
2 91 V
3 85 V
2 49 V
3 0 V
2 -162 V
2 -1 V
3 -113 V
2 105 V
3 -168 V
2 0 V
2 -46 V
3 93 V
2 -181 V
3 14 V
2 -351 V
2 112 V
3 378 V
2 -177 V
3 -49 V
2 125 V
2 5 V
3 -143 V
2 -9 V
3 184 V
2 -76 V
2 211 V
3 -66 V
2 100 V
3 -115 V
2 -11 V
2 33 V
3 -68 V
2 100 V
3 -43 V
2 0 V
2 -87 V
3 88 V
2 -157 V
3 5 V
2 77 V
2 74 V
3 -51 V
2 -172 V
3 92 V
2 43 V
2 41 V
stroke 1859 3559 M
3 134 V
2 -42 V
3 23 V
2 -20 V
2 109 V
3 -182 V
2 -63 V
2 202 V
3 -182 V
2 116 V
3 94 V
2 -275 V
2 -134 V
3 1 V
2 69 V
3 85 V
2 102 V
2 95 V
3 -39 V
2 -108 V
3 -98 V
2 -16 V
2 -234 V
3 -38 V
2 4 V
3 219 V
2 -174 V
2 338 V
3 -134 V
2 259 V
3 -168 V
2 105 V
2 -109 V
3 135 V
2 -77 V
3 -12 V
2 245 V
2 -79 V
3 58 V
2 0 V
3 23 V
2 -88 V
2 88 V
3 -91 V
2 -159 V
3 -68 V
2 22 V
2 17 V
3 -154 V
2 45 V
3 -21 V
2 -89 V
2 332 V
3 -75 V
2 193 V
3 -158 V
2 -247 V
2 -11 V
3 -163 V
2 34 V
3 4 V
2 44 V
2 286 V
3 0 V
2 -171 V
3 -114 V
2 351 V
2 -237 V
3 23 V
2 367 V
3 -89 V
2 -94 V
2 -198 V
3 -42 V
2 71 V
3 -121 V
2 135 V
2 -101 V
3 54 V
2 125 V
3 -196 V
2 178 V
2 -414 V
3 147 V
2 60 V
3 -127 V
2 21 V
2 377 V
3 -107 V
2 -2 V
3 -5 V
2 249 V
2 -22 V
3 -220 V
2 1 V
3 -68 V
2 71 V
2 -54 V
3 -56 V
2 154 V
3 220 V
2 -47 V
2 -29 V
3 32 V
stroke 2109 3654 M
2 146 V
3 12 V
2 149 V
2 0 V
3 7 V
2 -220 V
3 16 V
2 0 V
2 -25 V
3 219 V
2 -79 V
3 -206 V
2 -66 V
2 -16 V
3 217 V
2 222 V
3 -153 V
2 133 V
2 -184 V
3 0 V
2 103 V
3 -176 V
2 163 V
2 0 V
3 -107 V
2 0 V
3 -404 V
2 382 V
2 -24 V
3 24 V
2 -22 V
3 220 V
2 -221 V
2 -44 V
3 -112 V
2 -9 V
3 -21 V
2 -34 V
2 23 V
3 -74 V
2 135 V
3 -73 V
2 122 V
2 -127 V
3 84 V
2 -92 V
3 -46 V
2 64 V
2 -289 V
3 249 V
2 192 V
3 -332 V
2 -18 V
2 35 V
3 183 V
2 -130 V
3 0 V
2 137 V
2 -116 V
3 -53 V
2 -57 V
3 315 V
2 -201 V
2 305 V
3 -141 V
2 -35 V
3 6 V
2 -121 V
2 163 V
3 49 V
2 81 V
3 -309 V
2 -69 V
2 22 V
3 0 V
2 -86 V
3 0 V
2 66 V
2 -28 V
3 86 V
2 0 V
2 149 V
3 19 V
2 -19 V
3 148 V
2 72 V
2 -156 V
3 -97 V
2 165 V
3 -176 V
2 0 V
2 0 V
3 236 V
2 0 V
3 -62 V
2 227 V
2 -224 V
3 110 V
2 -373 V
3 14 V
2 -156 V
2 43 V
3 51 V
2 -160 V
stroke 2358 3275 M
3 173 V
2 90 V
2 -63 V
3 2 V
2 -235 V
3 -66 V
2 54 V
2 -5 V
3 -132 V
2 198 V
3 157 V
2 16 V
2 -175 V
3 195 V
2 169 V
3 -60 V
2 -34 V
2 165 V
3 153 V
2 -158 V
3 43 V
2 -183 V
2 207 V
3 258 V
2 -234 V
3 -79 V
2 -29 V
2 41 V
3 -108 V
2 -139 V
3 -1 V
2 -91 V
2 381 V
3 -3 V
2 52 V
3 -359 V
2 47 V
2 -132 V
3 94 V
2 62 V
3 76 V
2 62 V
2 82 V
3 -18 V
2 -65 V
3 37 V
2 52 V
2 172 V
3 -157 V
2 182 V
3 21 V
2 -16 V
2 -51 V
3 -89 V
2 22 V
3 195 V
2 -63 V
2 0 V
3 -118 V
2 -36 V
3 -67 V
2 135 V
2 40 V
3 -77 V
2 -166 V
3 -94 V
2 0 V
stroke
LTa
360 3654 M
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
stroke
LTb
360 4787 N
0 -2267 V
2159 0 V
0 2267 V
-2159 0 V
Z stroke
0.500 UP
0.500 UL
LTb
0.500 UL
LTb
2520 2747 M
63 0 V
2096 0 R
-63 0 V
2520 3200 M
63 0 V
2096 0 R
-63 0 V
2520 3654 M
63 0 V
2096 0 R
-63 0 V
2520 4107 M
63 0 V
2096 0 R
-63 0 V
2520 4560 M
63 0 V
2096 0 R
-63 0 V
2520 2520 M
0 63 V
0 2204 R
0 -63 V
2760 2520 M
0 63 V
0 2204 R
0 -63 V
3000 2520 M
0 63 V
0 2204 R
0 -63 V
3240 2520 M
0 63 V
0 2204 R
0 -63 V
3480 2520 M
0 63 V
0 2204 R
0 -63 V
3719 2520 M
0 63 V
0 2204 R
0 -63 V
3959 2520 M
0 63 V
0 2204 R
0 -63 V
4199 2520 M
0 63 V
0 2204 R
0 -63 V
4439 2520 M
0 63 V
0 2204 R
0 -63 V
4679 2520 M
0 63 V
0 2204 R
0 -63 V
stroke
2520 4787 N
0 -2267 V
2159 0 V
0 2267 V
-2159 0 V
Z stroke
LCb setrgbcolor
LTb
LCb setrgbcolor
LTb
0.500 UP
0.500 UL
LTb
0.500 UL
LT0
2522 3500 M
3 8 V
2 -175 V
3 233 V
2 226 V
2 19 V
3 207 V
2 -142 V
3 153 V
2 -13 V
2 -459 V
3 292 V
2 -196 V
3 181 V
2 203 V
2 -202 V
3 -94 V
2 92 V
3 -109 V
2 86 V
2 -309 V
3 54 V
2 192 V
3 -177 V
2 -20 V
2 -225 V
3 122 V
2 0 V
3 0 V
2 -19 V
2 180 V
3 -130 V
2 -67 V
3 44 V
2 393 V
2 0 V
3 -32 V
2 147 V
3 90 V
2 -203 V
2 132 V
3 136 V
2 -288 V
3 -284 V
2 202 V
2 -224 V
3 -159 V
2 -70 V
3 13 V
2 28 V
2 -81 V
3 -9 V
2 408 V
3 -132 V
2 19 V
2 129 V
3 -528 V
2 203 V
3 111 V
2 -95 V
2 249 V
3 0 V
2 -246 V
3 89 V
2 -71 V
2 157 V
3 152 V
2 -18 V
3 -23 V
2 285 V
2 36 V
3 9 V
2 -273 V
3 -85 V
2 278 V
2 14 V
3 -224 V
2 11 V
3 123 V
2 -232 V
2 -154 V
3 14 V
2 -117 V
3 54 V
2 21 V
2 0 V
3 22 V
2 43 V
3 47 V
2 86 V
2 108 V
3 -131 V
2 397 V
2 -58 V
3 13 V
2 -156 V
3 30 V
2 -70 V
2 84 V
3 -221 V
2 -91 V
3 -274 V
2 14 V
2 205 V
3 45 V
stroke 2772 3503 M
2 -58 V
3 -103 V
2 45 V
2 -87 V
3 358 V
2 -136 V
3 21 V
2 264 V
2 -211 V
3 -99 V
2 0 V
3 -182 V
2 245 V
2 -127 V
3 284 V
2 -120 V
3 0 V
2 30 V
2 39 V
3 -46 V
2 56 V
3 23 V
2 -151 V
2 199 V
3 63 V
2 86 V
3 -126 V
2 131 V
2 -150 V
3 129 V
2 92 V
3 225 V
2 -310 V
2 16 V
3 68 V
2 -229 V
3 -150 V
2 42 V
2 285 V
3 -174 V
2 -279 V
3 117 V
2 -7 V
2 -61 V
3 93 V
2 -179 V
3 178 V
2 -20 V
2 -133 V
3 -24 V
2 46 V
3 75 V
2 0 V
2 -152 V
3 -78 V
2 333 V
3 -269 V
2 157 V
2 -222 V
3 -77 V
2 31 V
3 260 V
2 -239 V
2 49 V
3 -118 V
2 264 V
3 95 V
2 -101 V
2 235 V
3 0 V
2 -100 V
3 122 V
2 -190 V
2 -6 V
3 134 V
2 -12 V
3 -150 V
2 68 V
2 -211 V
3 0 V
2 130 V
3 -171 V
2 362 V
2 90 V
3 -246 V
2 69 V
3 -5 V
2 49 V
2 -70 V
3 306 V
2 -130 V
3 -306 V
2 -160 V
2 -3 V
3 184 V
2 67 V
3 -44 V
2 43 V
2 180 V
3 47 V
2 0 V
3 -270 V
2 -54 V
2 45 V
stroke 3021 3487 M
3 11 V
2 -244 V
3 0 V
2 129 V
2 23 V
3 20 V
2 -41 V
3 111 V
2 80 V
2 121 V
3 -45 V
2 -75 V
3 10 V
2 -179 V
2 -266 V
3 155 V
2 0 V
3 -22 V
2 0 V
2 303 V
3 50 V
2 36 V
3 44 V
2 -284 V
2 -61 V
3 139 V
2 44 V
3 69 V
2 128 V
2 22 V
3 115 V
2 202 V
3 -154 V
2 0 V
2 147 V
3 -66 V
2 192 V
3 -202 V
2 -344 V
2 96 V
3 261 V
2 -345 V
3 -107 V
2 122 V
2 -94 V
3 296 V
2 -163 V
3 236 V
2 -55 V
2 -24 V
3 -126 V
2 138 V
3 86 V
2 -210 V
2 -107 V
3 134 V
2 55 V
3 0 V
2 123 V
2 63 V
3 65 V
2 -221 V
2 -41 V
3 -70 V
2 0 V
3 -143 V
2 -100 V
2 -97 V
3 -147 V
2 191 V
3 28 V
2 42 V
2 264 V
3 -398 V
2 -70 V
3 137 V
2 211 V
2 58 V
3 -40 V
2 116 V
3 -156 V
2 -81 V
2 -109 V
3 155 V
2 -134 V
3 25 V
2 22 V
2 -48 V
3 0 V
2 -274 V
3 584 V
2 -85 V
2 134 V
3 0 V
2 4 V
3 -178 V
2 173 V
2 -72 V
3 69 V
2 -238 V
3 -37 V
2 281 V
2 -23 V
3 -38 V
stroke 3271 3793 M
2 -134 V
3 113 V
2 -53 V
2 111 V
3 52 V
2 -23 V
3 -94 V
2 207 V
2 -344 V
3 0 V
2 -337 V
3 319 V
2 -1 V
2 -266 V
3 -21 V
2 268 V
3 67 V
2 0 V
2 29 V
3 -95 V
2 168 V
3 -66 V
2 224 V
2 -106 V
3 60 V
2 183 V
3 -84 V
2 -144 V
2 -31 V
3 -80 V
2 119 V
3 46 V
2 -192 V
2 231 V
3 -38 V
2 -183 V
3 -234 V
2 146 V
2 -29 V
3 -44 V
2 34 V
3 227 V
2 0 V
2 -167 V
3 170 V
2 -194 V
3 -15 V
2 208 V
2 7 V
3 -43 V
2 -224 V
3 -91 V
2 159 V
2 69 V
3 -17 V
2 149 V
3 334 V
2 -4 V
2 -197 V
3 -464 V
2 93 V
3 209 V
2 7 V
2 -90 V
3 353 V
2 -19 V
3 226 V
2 -290 V
2 -522 V
3 391 V
2 -99 V
3 197 V
2 -73 V
2 -136 V
3 164 V
2 11 V
3 0 V
2 3 V
2 -184 V
3 206 V
2 -145 V
3 79 V
2 0 V
2 -175 V
3 300 V
2 -153 V
3 178 V
2 -197 V
2 -27 V
3 -112 V
2 267 V
3 100 V
2 -46 V
2 244 V
3 -262 V
2 141 V
3 -83 V
2 -90 V
2 -229 V
3 269 V
2 -216 V
3 -34 V
2 103 V
2 59 V
stroke 3520 3896 M
3 53 V
2 -214 V
3 213 V
2 -101 V
2 383 V
3 -219 V
2 -49 V
3 0 V
2 -315 V
2 -257 V
3 112 V
2 286 V
3 0 V
2 -89 V
2 -381 V
3 41 V
2 299 V
3 62 V
2 0 V
2 -84 V
3 0 V
2 0 V
3 58 V
2 -349 V
2 239 V
3 -55 V
2 36 V
3 -171 V
2 60 V
2 306 V
3 28 V
2 -2 V
3 59 V
2 -92 V
2 78 V
3 -154 V
2 109 V
2 0 V
3 19 V
2 -254 V
3 -102 V
2 -14 V
2 -322 V
3 195 V
2 -73 V
3 110 V
2 21 V
2 -167 V
3 296 V
2 -152 V
3 0 V
2 150 V
2 51 V
3 -109 V
2 -207 V
3 290 V
2 -82 V
2 -280 V
3 205 V
2 177 V
3 -331 V
2 -26 V
2 38 V
3 2 V
2 60 V
3 -187 V
2 121 V
2 430 V
3 -109 V
2 119 V
3 -64 V
2 -85 V
2 -154 V
3 201 V
2 -130 V
3 327 V
2 -95 V
2 226 V
3 -128 V
2 7 V
3 450 V
2 -161 V
2 89 V
3 -240 V
2 90 V
3 206 V
2 -73 V
2 -84 V
3 -430 V
2 70 V
3 46 V
2 -221 V
2 88 V
3 110 V
2 -127 V
3 -49 V
2 289 V
2 -251 V
3 -41 V
2 2 V
3 40 V
2 6 V
2 -55 V
3 -56 V
stroke 3770 3458 M
2 372 V
3 0 V
2 -129 V
2 82 V
3 -201 V
2 -65 V
3 225 V
2 183 V
2 -278 V
3 72 V
2 -32 V
3 -214 V
2 360 V
2 -71 V
3 -9 V
2 -53 V
3 46 V
2 0 V
2 -48 V
3 -289 V
2 41 V
3 173 V
2 74 V
2 -133 V
3 -219 V
2 57 V
3 165 V
2 20 V
2 115 V
3 175 V
2 -89 V
3 -173 V
2 204 V
2 -205 V
3 209 V
2 -115 V
3 -158 V
2 -301 V
2 238 V
3 -70 V
2 239 V
3 93 V
2 -232 V
2 4 V
3 -88 V
2 -160 V
3 67 V
2 -117 V
2 0 V
3 286 V
2 -20 V
3 -207 V
2 -143 V
2 247 V
3 275 V
2 0 V
3 -33 V
2 -2 V
2 190 V
3 99 V
2 -39 V
3 0 V
2 -110 V
2 -4 V
3 -51 V
2 -119 V
3 -76 V
2 0 V
2 -74 V
3 284 V
2 -292 V
3 -182 V
2 -58 V
2 159 V
3 387 V
2 -247 V
3 -125 V
2 62 V
2 -3 V
3 -84 V
2 -60 V
3 138 V
2 141 V
2 44 V
3 -16 V
2 128 V
3 -60 V
2 -235 V
2 210 V
3 -71 V
2 54 V
3 -33 V
2 0 V
2 -109 V
3 27 V
2 -35 V
3 81 V
2 -39 V
2 344 V
3 -225 V
2 -355 V
3 6 V
2 155 V
2 16 V
stroke 4019 3449 M
3 333 V
2 -4 V
3 -171 V
2 65 V
2 39 V
3 -14 V
2 -93 V
2 179 V
3 -221 V
2 221 V
3 18 V
2 -373 V
2 -104 V
3 -95 V
2 137 V
3 45 V
2 277 V
2 -122 V
3 173 V
2 -160 V
3 -99 V
2 -100 V
2 -201 V
3 -107 V
2 -8 V
3 146 V
2 65 V
2 233 V
3 -31 V
2 19 V
3 115 V
2 240 V
2 -242 V
3 -8 V
2 22 V
3 -166 V
2 131 V
2 243 V
3 -27 V
2 0 V
3 -35 V
2 -42 V
2 129 V
3 -207 V
2 -128 V
3 -100 V
2 89 V
2 50 V
3 -111 V
2 -37 V
3 -107 V
2 169 V
2 104 V
3 -39 V
2 273 V
3 -272 V
2 -185 V
2 -1 V
3 -25 V
2 -103 V
3 216 V
2 -172 V
2 445 V
3 0 V
2 -248 V
3 -461 V
2 686 V
2 -200 V
3 -175 V
2 429 V
3 -277 V
2 140 V
2 -29 V
3 -198 V
2 1 V
3 -21 V
2 -43 V
2 42 V
3 89 V
2 23 V
3 -267 V
2 274 V
2 -385 V
3 -90 V
2 285 V
3 -184 V
2 100 V
2 135 V
3 -25 V
2 -59 V
3 255 V
2 100 V
2 -15 V
3 -109 V
2 -163 V
3 78 V
2 55 V
2 -79 V
3 -117 V
2 236 V
3 239 V
2 -262 V
2 42 V
3 52 V
stroke 4269 3569 M
2 239 V
3 -17 V
2 264 V
2 0 V
3 -219 V
2 -131 V
3 123 V
2 0 V
2 69 V
3 117 V
2 18 V
3 -279 V
2 76 V
2 1 V
3 -18 V
2 113 V
3 16 V
2 136 V
2 -246 V
3 0 V
2 229 V
3 -377 V
2 123 V
2 0 V
3 -40 V
2 0 V
3 -354 V
2 362 V
2 15 V
3 -106 V
2 110 V
3 195 V
2 -305 V
2 172 V
3 -139 V
2 -18 V
3 34 V
2 -193 V
2 -42 V
3 -44 V
2 240 V
3 -152 V
2 -26 V
2 -12 V
3 45 V
2 -101 V
3 1 V
2 138 V
2 -288 V
3 133 V
2 154 V
3 -271 V
2 187 V
2 -71 V
3 93 V
2 -142 V
3 137 V
2 177 V
2 -171 V
3 -206 V
2 45 V
3 333 V
2 -152 V
2 221 V
3 -293 V
2 54 V
3 195 V
2 -142 V
2 -79 V
3 244 V
2 -10 V
3 -11 V
2 -206 V
2 -86 V
3 51 V
2 -99 V
3 0 V
2 3 V
2 -20 V
3 -68 V
2 0 V
2 354 V
3 85 V
2 -238 V
3 355 V
2 -67 V
2 -305 V
3 12 V
2 96 V
3 -5 V
2 0 V
2 0 V
3 204 V
2 0 V
3 72 V
2 31 V
2 -236 V
3 56 V
2 -294 V
3 -153 V
2 94 V
2 -70 V
3 5 V
2 -15 V
stroke 4518 3279 M
3 -11 V
2 212 V
2 152 V
3 -117 V
2 -242 V
3 -43 V
2 80 V
2 -63 V
3 -134 V
2 93 V
3 240 V
2 -219 V
2 99 V
3 165 V
2 228 V
3 -106 V
2 41 V
2 110 V
3 40 V
2 35 V
3 16 V
2 -242 V
2 154 V
3 203 V
2 -203 V
3 1 V
2 -180 V
2 136 V
3 -87 V
2 -75 V
3 20 V
2 -44 V
2 186 V
3 -23 V
2 0 V
3 -142 V
2 177 V
2 -213 V
3 67 V
2 -115 V
3 99 V
2 78 V
2 54 V
3 77 V
2 -222 V
3 116 V
2 -1 V
2 274 V
3 -248 V
2 326 V
3 -79 V
2 109 V
2 -18 V
3 -142 V
2 -63 V
3 173 V
2 -40 V
2 0 V
3 -156 V
2 80 V
3 -18 V
2 137 V
2 -109 V
3 -46 V
2 -106 V
3 -71 V
2 0 V
stroke
LT2
2522 3499 M
3 -18 V
2 -56 V
3 283 V
2 142 V
2 -66 V
3 295 V
2 -165 V
3 9 V
2 244 V
2 -441 V
3 95 V
2 -190 V
3 332 V
2 104 V
2 -301 V
3 -39 V
2 152 V
3 -161 V
2 77 V
2 -277 V
3 -24 V
2 297 V
3 -156 V
2 1 V
2 -380 V
3 191 V
2 0 V
3 0 V
2 70 V
2 44 V
3 -126 V
2 -51 V
3 92 V
2 454 V
2 0 V
3 -68 V
2 87 V
3 -107 V
2 8 V
2 102 V
3 56 V
2 -247 V
3 -180 V
2 168 V
2 -188 V
3 -185 V
2 -60 V
3 118 V
2 -156 V
2 -119 V
3 171 V
2 260 V
3 10 V
2 36 V
2 -24 V
3 -427 V
2 263 V
3 2 V
2 -25 V
2 183 V
3 0 V
2 -1 V
3 -282 V
2 79 V
2 55 V
3 235 V
2 18 V
3 49 V
2 88 V
2 28 V
3 163 V
2 -325 V
3 75 V
2 127 V
2 -26 V
3 -39 V
2 -139 V
3 -46 V
2 -86 V
2 -64 V
3 -86 V
2 96 V
3 -135 V
2 150 V
2 0 V
3 -24 V
2 25 V
3 13 V
2 -18 V
2 138 V
3 -75 V
2 429 V
2 -240 V
3 283 V
2 -289 V
3 7 V
2 -142 V
2 35 V
3 -34 V
2 -156 V
3 -191 V
2 -117 V
2 270 V
3 -82 V
stroke 2772 3374 M
2 -10 V
3 -22 V
2 -50 V
2 20 V
3 499 V
2 -419 V
3 196 V
2 223 V
2 -97 V
3 -209 V
2 0 V
3 -145 V
2 212 V
2 -150 V
3 355 V
2 -137 V
3 0 V
2 -12 V
2 68 V
3 -84 V
2 24 V
3 107 V
2 -238 V
2 287 V
3 -92 V
2 169 V
3 -123 V
2 111 V
2 -75 V
3 118 V
2 117 V
3 286 V
2 -377 V
2 -41 V
3 16 V
2 -178 V
3 -157 V
2 134 V
2 267 V
3 -161 V
2 -270 V
3 156 V
2 -157 V
2 -17 V
3 206 V
2 -233 V
3 54 V
2 45 V
2 -70 V
3 -112 V
2 95 V
3 15 V
2 0 V
2 -116 V
3 -165 V
2 455 V
3 -284 V
2 64 V
2 -113 V
3 19 V
2 -164 V
3 351 V
2 -294 V
2 25 V
3 -93 V
2 234 V
3 118 V
2 -15 V
2 134 V
3 0 V
2 -48 V
3 -35 V
2 26 V
2 -15 V
3 118 V
2 -98 V
3 -61 V
2 -11 V
2 -84 V
3 0 V
2 108 V
3 -244 V
2 299 V
2 202 V
3 -317 V
2 25 V
3 -89 V
2 223 V
2 -61 V
3 231 V
2 -218 V
3 -84 V
2 -305 V
2 143 V
3 117 V
2 -1 V
3 -6 V
2 20 V
2 147 V
3 -25 V
2 0 V
3 -184 V
2 4 V
2 57 V
stroke 3021 3508 M
3 -10 V
2 -223 V
3 0 V
2 109 V
2 -44 V
3 176 V
2 -154 V
3 243 V
2 1 V
2 77 V
3 -33 V
2 -143 V
3 186 V
2 -153 V
2 -370 V
3 105 V
2 0 V
3 71 V
2 0 V
2 350 V
3 -2 V
2 -105 V
3 104 V
2 -180 V
2 -20 V
3 8 V
2 -2 V
3 175 V
2 68 V
2 -22 V
3 161 V
2 153 V
3 -62 V
2 0 V
2 64 V
3 15 V
2 206 V
3 -252 V
2 -366 V
2 -51 V
3 367 V
2 -237 V
3 -50 V
2 -23 V
2 -19 V
3 234 V
2 -242 V
3 346 V
2 27 V
2 -68 V
3 -195 V
2 188 V
3 132 V
2 -260 V
2 -51 V
3 165 V
2 33 V
3 0 V
2 142 V
2 -39 V
3 38 V
2 -240 V
2 51 V
3 -132 V
2 0 V
3 -30 V
2 -96 V
2 -227 V
3 -37 V
2 132 V
3 27 V
2 19 V
2 286 V
3 -288 V
2 -137 V
3 92 V
2 131 V
2 98 V
3 -67 V
2 170 V
3 -167 V
2 -104 V
2 -147 V
3 212 V
2 -67 V
3 -39 V
2 36 V
2 -91 V
3 0 V
2 -99 V
3 396 V
2 -11 V
2 172 V
3 0 V
2 -106 V
3 -85 V
2 154 V
2 -118 V
3 145 V
2 -179 V
3 -185 V
2 334 V
2 -30 V
3 -102 V
stroke 3271 3747 M
2 -157 V
3 159 V
2 58 V
2 87 V
3 6 V
2 -30 V
3 -83 V
2 141 V
2 -446 V
3 0 V
2 -183 V
3 258 V
2 140 V
2 -402 V
3 90 V
2 300 V
3 -29 V
2 0 V
2 24 V
3 19 V
2 156 V
3 -156 V
2 219 V
2 -40 V
3 68 V
2 44 V
3 -109 V
2 -69 V
2 -26 V
3 -111 V
2 198 V
3 94 V
2 -156 V
2 93 V
3 -5 V
2 -273 V
3 -145 V
2 109 V
2 -91 V
3 137 V
2 17 V
3 123 V
2 0 V
2 -136 V
3 95 V
2 -224 V
3 95 V
2 179 V
2 20 V
3 -38 V
2 -292 V
3 -66 V
2 309 V
2 -101 V
3 108 V
2 106 V
3 258 V
2 76 V
2 -246 V
3 -461 V
2 177 V
3 62 V
2 133 V
2 -133 V
3 310 V
2 7 V
3 245 V
2 -336 V
2 -169 V
3 71 V
2 -151 V
3 69 V
2 205 V
2 -187 V
3 125 V
2 -7 V
3 0 V
2 46 V
2 -67 V
3 -21 V
2 -110 V
3 91 V
2 0 V
2 -96 V
3 247 V
2 -161 V
3 251 V
2 -183 V
2 0 V
3 -9 V
2 -147 V
3 185 V
2 48 V
2 66 V
3 67 V
2 19 V
3 -91 V
2 -9 V
2 -224 V
3 110 V
2 -100 V
3 -68 V
2 134 V
2 21 V
stroke 3520 3878 M
3 7 V
2 -168 V
3 166 V
2 -172 V
2 323 V
3 -18 V
2 -143 V
3 0 V
2 -204 V
2 -241 V
3 41 V
2 275 V
3 0 V
2 77 V
2 -281 V
3 -129 V
2 92 V
3 60 V
2 0 V
2 19 V
3 0 V
2 0 V
3 90 V
2 -310 V
2 232 V
3 -130 V
2 101 V
3 5 V
2 -126 V
2 337 V
3 20 V
2 -37 V
3 97 V
2 -10 V
2 -146 V
3 -116 V
2 200 V
2 0 V
3 -72 V
2 -256 V
3 106 V
2 -212 V
2 -283 V
3 238 V
2 -41 V
3 105 V
2 -80 V
2 -176 V
3 369 V
2 29 V
3 -280 V
2 322 V
2 47 V
3 -176 V
2 -218 V
3 284 V
2 93 V
2 -369 V
3 169 V
2 167 V
3 -282 V
2 -157 V
2 53 V
3 -4 V
2 252 V
3 -366 V
2 -14 V
2 697 V
3 -99 V
2 0 V
3 -48 V
2 -12 V
2 -206 V
3 215 V
2 -95 V
3 238 V
2 -73 V
2 258 V
3 -182 V
2 -32 V
3 339 V
2 58 V
2 150 V
3 -306 V
2 72 V
3 130 V
2 20 V
2 -215 V
3 -360 V
2 151 V
3 33 V
2 -270 V
2 -2 V
3 140 V
2 -45 V
3 -49 V
2 240 V
2 -103 V
3 -187 V
2 64 V
3 16 V
2 -30 V
2 3 V
3 -17 V
stroke 3770 3530 M
2 190 V
3 0 V
2 43 V
2 65 V
3 -178 V
2 -153 V
3 204 V
2 237 V
2 -286 V
3 87 V
2 -6 V
3 -325 V
2 493 V
2 -115 V
3 -3 V
2 -302 V
3 223 V
2 0 V
2 -1 V
3 -272 V
2 -43 V
3 263 V
2 27 V
2 -90 V
3 -224 V
2 21 V
3 91 V
2 134 V
2 63 V
3 208 V
2 -180 V
3 -25 V
2 76 V
2 -111 V
3 154 V
2 -102 V
3 -155 V
2 -108 V
2 196 V
3 -122 V
2 248 V
3 -1 V
2 -193 V
2 8 V
3 -90 V
2 -114 V
3 -39 V
2 -55 V
2 0 V
3 175 V
2 17 V
3 -198 V
2 -50 V
2 192 V
3 211 V
2 0 V
3 64 V
2 -29 V
2 253 V
3 13 V
2 -104 V
3 0 V
2 -74 V
2 178 V
3 -226 V
2 -55 V
3 -117 V
2 0 V
2 -76 V
3 300 V
2 -291 V
3 -222 V
2 -13 V
2 135 V
3 408 V
2 -222 V
3 -180 V
2 161 V
2 -160 V
3 28 V
2 -66 V
3 132 V
2 3 V
2 247 V
3 -309 V
2 198 V
3 1 V
2 -158 V
2 87 V
3 44 V
2 156 V
3 -94 V
2 0 V
2 -95 V
3 77 V
2 -183 V
3 7 V
2 33 V
2 364 V
3 -217 V
2 -204 V
3 -64 V
2 181 V
2 34 V
stroke 4019 3560 M
3 164 V
2 34 V
3 -45 V
2 -17 V
2 -45 V
3 45 V
2 -71 V
2 66 V
3 -146 V
2 125 V
3 159 V
2 -334 V
2 -205 V
3 29 V
2 67 V
3 98 V
2 98 V
2 93 V
3 86 V
2 -172 V
3 -96 V
2 -146 V
2 -279 V
3 -15 V
2 42 V
3 156 V
2 -33 V
2 292 V
3 -16 V
2 95 V
3 -69 V
2 192 V
2 -218 V
3 61 V
2 55 V
3 -212 V
2 193 V
2 194 V
3 -99 V
2 0 V
3 -5 V
2 -21 V
2 201 V
3 -229 V
2 -68 V
3 -153 V
2 180 V
2 -32 V
3 -90 V
2 -163 V
3 -13 V
2 100 V
2 275 V
3 -102 V
2 142 V
3 -206 V
2 -100 V
2 0 V
3 -57 V
2 -77 V
3 -14 V
2 -24 V
2 422 V
3 0 V
2 -210 V
3 -357 V
2 526 V
2 -248 V
3 -45 V
2 426 V
3 -220 V
2 114 V
2 -210 V
3 -132 V
2 76 V
3 -144 V
2 65 V
2 116 V
3 -50 V
2 93 V
3 -240 V
2 198 V
2 -402 V
3 31 V
2 292 V
3 -178 V
2 158 V
2 76 V
3 -3 V
2 -4 V
3 155 V
2 102 V
2 -71 V
3 -154 V
2 20 V
3 -27 V
2 -41 V
2 -22 V
3 49 V
2 30 V
3 303 V
2 -176 V
2 -67 V
3 285 V
stroke 4269 3766 M
2 108 V
3 24 V
2 139 V
2 0 V
3 -250 V
2 63 V
3 50 V
2 0 V
2 -70 V
3 117 V
2 87 V
3 -263 V
2 56 V
2 -110 V
3 162 V
2 -21 V
3 0 V
2 236 V
2 -283 V
3 0 V
2 223 V
3 -266 V
2 71 V
2 0 V
3 -69 V
2 0 V
3 -386 V
2 368 V
2 -32 V
3 115 V
2 39 V
3 113 V
2 -350 V
2 232 V
3 -222 V
2 87 V
3 -33 V
2 -76 V
2 4 V
3 -157 V
2 173 V
3 -78 V
2 -7 V
2 -42 V
3 50 V
2 -47 V
3 -32 V
2 16 V
2 -206 V
3 109 V
2 204 V
3 -340 V
2 331 V
2 -215 V
3 172 V
2 -201 V
3 225 V
2 -8 V
2 -38 V
3 -133 V
2 50 V
3 222 V
2 -181 V
2 192 V
3 -34 V
2 -116 V
3 180 V
2 -110 V
2 11 V
3 125 V
2 34 V
3 -122 V
2 -207 V
2 -106 V
3 116 V
2 -145 V
3 0 V
2 0 V
2 -37 V
3 -136 V
2 0 V
2 471 V
3 44 V
2 -24 V
3 199 V
2 -20 V
2 -131 V
3 -138 V
2 89 V
3 -93 V
2 0 V
2 0 V
3 212 V
2 0 V
3 60 V
2 198 V
2 -362 V
3 122 V
2 -262 V
3 -278 V
2 65 V
2 43 V
3 85 V
2 -164 V
stroke 4518 3257 M
3 37 V
2 159 V
2 107 V
3 4 V
2 -298 V
3 -75 V
2 56 V
2 -22 V
3 -89 V
2 153 V
3 204 V
2 -115 V
2 -105 V
3 245 V
2 221 V
3 -153 V
2 128 V
2 49 V
3 45 V
2 33 V
3 60 V
2 -291 V
2 245 V
3 184 V
2 -287 V
3 -2 V
2 -34 V
2 73 V
3 -89 V
2 -107 V
3 62 V
2 -221 V
2 325 V
3 -34 V
2 -43 V
3 -52 V
2 27 V
2 -159 V
3 20 V
2 -84 V
3 224 V
2 23 V
2 77 V
3 -63 V
2 -116 V
3 32 V
2 89 V
2 247 V
3 -317 V
2 424 V
3 -106 V
2 93 V
2 7 V
3 -146 V
2 -114 V
3 308 V
2 -41 V
2 0 V
3 -199 V
2 65 V
3 -83 V
2 158 V
2 76 V
3 -151 V
2 -189 V
3 -101 V
2 0 V
stroke
LTa
2520 3654 M
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
stroke
LTb
2520 4787 N
0 -2267 V
2159 0 V
0 2267 V
-2159 0 V
Z stroke
0.500 UP
0.500 UL
LTb
0.500 UL
LTb
4680 2747 M
63 0 V
2096 0 R
-63 0 V
4680 3200 M
63 0 V
2096 0 R
-63 0 V
4680 3654 M
63 0 V
2096 0 R
-63 0 V
4680 4107 M
63 0 V
2096 0 R
-63 0 V
4680 4560 M
63 0 V
2096 0 R
-63 0 V
4680 2520 M
0 63 V
0 2204 R
0 -63 V
4920 2520 M
0 63 V
0 2204 R
0 -63 V
5160 2520 M
0 63 V
0 2204 R
0 -63 V
5400 2520 M
0 63 V
0 2204 R
0 -63 V
5640 2520 M
0 63 V
0 2204 R
0 -63 V
5879 2520 M
0 63 V
0 2204 R
0 -63 V
6119 2520 M
0 63 V
0 2204 R
0 -63 V
6359 2520 M
0 63 V
0 2204 R
0 -63 V
6599 2520 M
0 63 V
0 2204 R
0 -63 V
6839 2520 M
0 63 V
0 2204 R
0 -63 V
stroke
4680 4787 N
0 -2267 V
2159 0 V
0 2267 V
-2159 0 V
Z stroke
LCb setrgbcolor
LTb
LCb setrgbcolor
LTb
0.500 UP
0.500 UL
LTb
0.500 UL
LT0
4682 3672 M
3 -282 V
2 -362 V
3 341 V
2 401 V
2 40 V
3 252 V
2 -208 V
3 -20 V
2 266 V
2 -555 V
3 397 V
2 -224 V
3 -101 V
2 445 V
2 -365 V
3 -15 V
2 218 V
3 -336 V
2 315 V
2 36 V
3 -350 V
2 182 V
3 -10 V
2 -128 V
2 -380 V
3 45 V
2 0 V
3 0 V
2 139 V
2 129 V
3 111 V
2 -225 V
3 -44 V
2 253 V
2 0 V
3 333 V
2 217 V
3 -59 V
2 -51 V
2 -395 V
3 217 V
2 -199 V
3 -249 V
2 360 V
2 -380 V
3 109 V
2 -244 V
3 0 V
2 41 V
2 -216 V
3 -66 V
2 336 V
3 257 V
2 88 V
2 -372 V
3 -403 V
2 445 V
3 242 V
2 -353 V
2 287 V
3 0 V
2 -106 V
3 -48 V
2 133 V
2 -25 V
3 180 V
2 93 V
3 -178 V
2 420 V
2 -65 V
3 89 V
2 -290 V
3 68 V
2 5 V
2 170 V
3 -354 V
2 61 V
3 164 V
2 -161 V
2 -67 V
3 -262 V
2 0 V
3 130 V
2 -108 V
2 0 V
3 -64 V
2 -220 V
3 439 V
2 105 V
2 118 V
3 -181 V
2 317 V
2 201 V
3 -26 V
2 -420 V
3 19 V
2 240 V
2 -349 V
3 -114 V
2 -42 V
3 -7 V
2 -489 V
2 452 V
3 24 V
stroke 4932 3434 M
2 -7 V
3 -88 V
2 109 V
2 -366 V
3 485 V
2 -47 V
3 -88 V
2 312 V
2 0 V
3 -162 V
2 0 V
3 -197 V
2 74 V
2 -30 V
3 135 V
2 130 V
3 0 V
2 -22 V
2 394 V
3 -261 V
2 -104 V
3 -45 V
2 -4 V
2 -38 V
3 239 V
2 -135 V
3 180 V
2 -173 V
2 -41 V
3 105 V
2 94 V
3 246 V
2 -247 V
2 19 V
3 -170 V
2 55 V
3 -156 V
2 89 V
2 357 V
3 -420 V
2 -206 V
3 309 V
2 -179 V
2 -173 V
3 178 V
2 -113 V
3 224 V
2 151 V
2 -172 V
3 -466 V
2 179 V
3 -133 V
2 0 V
2 171 V
3 -285 V
2 449 V
3 -336 V
2 136 V
2 -97 V
3 173 V
2 -212 V
3 152 V
2 -378 V
2 287 V
3 -89 V
2 378 V
3 -42 V
2 197 V
2 26 V
3 0 V
2 -113 V
3 -42 V
2 0 V
2 110 V
3 24 V
2 -113 V
3 -49 V
2 161 V
2 -339 V
3 0 V
2 159 V
3 -464 V
2 555 V
2 288 V
3 -442 V
2 -44 V
3 172 V
2 113 V
2 -393 V
3 876 V
2 -418 V
3 -241 V
2 -532 V
2 285 V
3 137 V
2 -4 V
3 90 V
2 93 V
2 311 V
3 -288 V
2 0 V
3 -31 V
2 243 V
2 -282 V
stroke 5181 3607 M
3 -174 V
2 -275 V
3 0 V
2 73 V
2 278 V
3 5 V
2 -306 V
3 309 V
2 89 V
2 2 V
3 -88 V
2 -94 V
3 117 V
2 -46 V
2 -382 V
3 178 V
2 0 V
3 -174 V
2 0 V
2 381 V
3 61 V
2 137 V
3 -181 V
2 200 V
2 -401 V
3 94 V
2 -66 V
3 178 V
2 244 V
2 236 V
3 186 V
2 -305 V
3 217 V
2 0 V
2 -174 V
3 25 V
2 421 V
3 -383 V
2 -401 V
2 23 V
3 557 V
2 -472 V
3 82 V
2 -105 V
2 -304 V
3 293 V
2 -87 V
3 548 V
2 -200 V
2 -1 V
3 -199 V
2 199 V
3 95 V
2 -316 V
2 -65 V
3 43 V
2 463 V
3 0 V
2 4 V
2 50 V
3 -50 V
2 -493 V
2 135 V
3 -39 V
2 0 V
3 -136 V
2 -69 V
2 -184 V
3 -130 V
2 3 V
3 176 V
2 113 V
2 331 V
3 -417 V
2 -231 V
3 157 V
2 244 V
2 180 V
3 -66 V
2 44 V
3 93 V
2 -449 V
2 109 V
3 197 V
2 -24 V
3 -84 V
2 -88 V
2 151 V
3 0 V
2 -315 V
3 276 V
2 112 V
2 -64 V
3 0 V
2 379 V
3 -428 V
2 180 V
2 64 V
3 245 V
2 -244 V
3 -417 V
2 444 V
2 -68 V
3 -111 V
stroke 5431 3722 M
2 267 V
3 18 V
2 -457 V
2 196 V
3 200 V
2 -22 V
3 -313 V
2 132 V
2 -248 V
3 0 V
2 -265 V
3 160 V
2 216 V
2 -310 V
3 -117 V
2 500 V
3 108 V
2 0 V
2 -310 V
3 -84 V
2 374 V
3 42 V
2 3 V
2 150 V
3 73 V
2 195 V
3 47 V
2 -288 V
2 -265 V
3 150 V
2 -42 V
3 -175 V
2 -25 V
2 267 V
3 -199 V
2 -258 V
3 -78 V
2 9 V
2 11 V
3 291 V
2 152 V
3 25 V
2 0 V
2 -64 V
3 240 V
2 -508 V
3 68 V
2 420 V
2 -265 V
3 -65 V
2 -138 V
3 -44 V
2 265 V
2 -65 V
3 -41 V
2 157 V
3 197 V
2 222 V
2 -200 V
3 -715 V
2 313 V
3 10 V
2 273 V
2 -219 V
3 344 V
2 -133 V
3 553 V
2 -646 V
2 -157 V
3 156 V
2 -137 V
3 267 V
2 -149 V
2 -222 V
3 357 V
2 -266 V
3 0 V
2 331 V
2 -183 V
3 68 V
2 -84 V
3 26 V
2 0 V
2 144 V
3 -83 V
2 -69 V
3 266 V
2 -43 V
2 -244 V
3 -51 V
2 294 V
3 44 V
2 49 V
2 357 V
3 -314 V
2 -289 V
3 109 V
2 -221 V
2 -111 V
3 136 V
2 -132 V
3 -95 V
2 334 V
2 2 V
stroke 5680 3901 M
3 -4 V
2 -151 V
3 201 V
2 -219 V
2 442 V
3 -291 V
2 -158 V
3 0 V
2 -136 V
2 -264 V
3 134 V
2 446 V
3 0 V
2 -113 V
2 -210 V
3 -18 V
2 -127 V
3 267 V
2 0 V
2 108 V
3 0 V
2 0 V
3 -157 V
2 -444 V
2 272 V
3 -160 V
2 246 V
3 16 V
2 -107 V
2 308 V
3 72 V
2 64 V
3 -132 V
2 -198 V
2 152 V
3 141 V
2 18 V
2 0 V
3 -157 V
2 -224 V
3 -19 V
2 -136 V
2 -313 V
3 376 V
2 -114 V
3 132 V
2 -18 V
2 -268 V
3 445 V
2 -304 V
3 59 V
2 163 V
2 63 V
3 -220 V
2 -133 V
3 244 V
2 63 V
2 -314 V
3 265 V
2 95 V
3 -378 V
2 -179 V
2 -19 V
3 283 V
2 -196 V
3 177 V
2 -139 V
2 427 V
3 179 V
2 -285 V
3 26 V
2 -158 V
2 41 V
3 31 V
2 -74 V
3 446 V
2 -198 V
2 200 V
3 -115 V
2 157 V
3 252 V
2 36 V
2 68 V
3 -293 V
2 5 V
3 270 V
2 -180 V
2 20 V
3 -270 V
2 -41 V
3 -63 V
2 -118 V
2 44 V
3 182 V
2 -236 V
3 34 V
2 445 V
2 -257 V
3 -57 V
2 -6 V
3 -102 V
2 -244 V
2 304 V
3 67 V
stroke 5930 3670 M
2 -146 V
3 0 V
2 86 V
2 -23 V
3 -266 V
2 130 V
3 355 V
2 137 V
2 -333 V
3 155 V
2 -196 V
3 -33 V
2 273 V
2 1 V
3 111 V
2 -309 V
3 -46 V
2 0 V
2 225 V
3 -579 V
2 242 V
3 173 V
2 -60 V
2 60 V
3 -658 V
2 284 V
3 110 V
2 290 V
2 264 V
3 -18 V
2 -92 V
3 -179 V
2 -41 V
2 179 V
3 -44 V
2 -217 V
3 60 V
2 -489 V
2 334 V
3 88 V
2 357 V
3 -133 V
2 -293 V
2 25 V
3 15 V
2 -174 V
3 -86 V
2 -337 V
2 0 V
3 577 V
2 -110 V
3 -46 V
2 135 V
2 -66 V
3 203 V
2 0 V
3 -21 V
2 106 V
2 181 V
3 242 V
2 -133 V
3 0 V
2 -69 V
2 133 V
3 -282 V
2 86 V
3 -181 V
2 0 V
2 -69 V
3 382 V
2 -510 V
3 -132 V
2 -121 V
2 247 V
3 182 V
2 -155 V
3 20 V
2 -131 V
2 46 V
3 -287 V
2 327 V
3 27 V
2 111 V
2 -2 V
3 -84 V
2 180 V
3 38 V
2 -244 V
2 119 V
3 -137 V
2 151 V
3 23 V
2 0 V
2 -178 V
3 -106 V
2 326 V
3 84 V
2 -130 V
2 161 V
3 -272 V
2 -157 V
3 3 V
2 152 V
2 28 V
stroke 6179 3519 M
3 284 V
2 49 V
3 -46 V
2 -269 V
2 76 V
3 129 V
2 -198 V
2 221 V
3 -24 V
2 19 V
3 179 V
2 -333 V
2 -289 V
3 -88 V
2 131 V
3 293 V
2 109 V
2 -21 V
3 -105 V
2 59 V
3 -357 V
2 -220 V
2 -139 V
3 -218 V
2 262 V
3 156 V
2 -85 V
2 293 V
3 66 V
2 1 V
3 0 V
2 202 V
2 -21 V
3 170 V
2 -21 V
3 -93 V
2 -460 V
2 471 V
3 106 V
2 0 V
3 -63 V
2 109 V
2 -91 V
3 -108 V
2 -48 V
3 84 V
2 -104 V
2 21 V
3 -293 V
2 47 V
3 49 V
2 175 V
2 41 V
3 -287 V
2 622 V
3 -396 V
2 -472 V
2 242 V
3 91 V
2 -179 V
3 111 V
2 -110 V
2 294 V
3 0 V
2 -315 V
3 -65 V
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2 -162 V
3 -110 V
2 431 V
3 -247 V
2 107 V
2 -268 V
3 2 V
2 41 V
3 -63 V
2 -6 V
2 155 V
3 -108 V
2 270 V
3 -445 V
2 198 V
2 -578 V
3 158 V
2 285 V
3 87 V
2 -194 V
2 20 V
3 223 V
2 -88 V
3 244 V
2 -44 V
2 25 V
3 157 V
2 -165 V
3 -17 V
2 -195 V
2 -47 V
3 -158 V
2 223 V
3 465 V
2 -463 V
2 180 V
3 20 V
stroke 6429 3543 M
2 688 V
3 -200 V
2 -39 V
2 0 V
3 -69 V
2 40 V
3 179 V
2 0 V
2 -285 V
3 287 V
2 -83 V
3 -495 V
2 265 V
2 -65 V
3 240 V
2 -219 V
3 140 V
2 175 V
2 -160 V
3 0 V
2 -80 V
3 -71 V
2 43 V
2 0 V
3 -112 V
2 0 V
3 -405 V
2 186 V
2 89 V
3 -69 V
2 71 V
3 178 V
2 -291 V
2 375 V
3 -25 V
2 151 V
3 -326 V
2 -158 V
2 85 V
3 -107 V
2 353 V
3 -330 V
2 68 V
2 -112 V
3 86 V
2 -157 V
3 -87 V
2 117 V
2 -28 V
3 -116 V
2 78 V
3 14 V
2 290 V
2 -285 V
3 240 V
2 -158 V
3 -81 V
2 285 V
2 -245 V
3 -265 V
2 153 V
3 399 V
2 -174 V
2 108 V
3 -85 V
2 83 V
3 -36 V
2 195 V
2 -241 V
3 152 V
2 132 V
3 -179 V
2 -195 V
2 85 V
3 154 V
2 -352 V
3 0 V
2 -4 V
2 -242 V
3 333 V
2 0 V
2 183 V
3 128 V
2 -197 V
3 376 V
2 -326 V
2 -27 V
3 -242 V
2 262 V
3 -2 V
2 0 V
2 0 V
3 309 V
2 0 V
3 6 V
2 -43 V
2 -247 V
3 8 V
2 -391 V
3 -67 V
2 310 V
2 -40 V
3 -177 V
2 -114 V
stroke 6678 3138 M
3 160 V
2 82 V
2 74 V
3 353 V
2 -470 V
3 17 V
2 -172 V
2 -63 V
3 -113 V
2 107 V
3 147 V
2 58 V
2 22 V
3 -44 V
2 600 V
3 -157 V
2 2 V
2 -90 V
3 230 V
2 149 V
3 240 V
2 -419 V
2 27 V
3 221 V
2 -203 V
3 69 V
2 -24 V
2 -219 V
3 107 V
2 -398 V
3 178 V
2 131 V
2 87 V
3 -234 V
2 174 V
3 -224 V
2 23 V
2 -113 V
3 68 V
2 -5 V
3 117 V
2 154 V
2 178 V
3 -26 V
2 -314 V
3 161 V
2 -111 V
2 338 V
3 -378 V
2 441 V
3 72 V
2 326 V
2 -200 V
3 -178 V
2 -127 V
3 -3 V
2 43 V
2 0 V
3 -261 V
2 111 V
3 67 V
2 245 V
2 -68 V
3 -67 V
2 -404 V
3 -70 V
2 0 V
stroke
LT2
4682 3652 M
3 -218 V
2 -404 V
3 405 V
2 313 V
2 -49 V
3 249 V
2 -116 V
3 21 V
2 338 V
2 -603 V
3 334 V
2 -92 V
3 -149 V
2 404 V
2 -403 V
3 -69 V
2 332 V
3 -336 V
2 204 V
2 -9 V
3 -218 V
2 139 V
3 -30 V
2 -19 V
2 -426 V
3 113 V
2 0 V
3 0 V
2 71 V
2 129 V
3 -43 V
2 -28 V
3 -174 V
2 366 V
2 0 V
3 330 V
2 -45 V
3 -22 V
2 170 V
2 -438 V
3 287 V
2 -182 V
3 -266 V
2 247 V
2 -223 V
3 -71 V
2 -156 V
3 2 V
2 -132 V
2 -155 V
3 114 V
2 265 V
3 240 V
2 46 V
2 -459 V
3 -185 V
2 443 V
3 68 V
2 -154 V
2 287 V
3 0 V
2 -242 V
3 -157 V
2 154 V
2 263 V
3 -61 V
2 68 V
3 19 V
2 204 V
2 156 V
3 -111 V
2 -246 V
3 -64 V
2 134 V
2 131 V
3 -334 V
2 24 V
3 263 V
2 -182 V
2 -22 V
3 -328 V
2 263 V
3 -197 V
2 0 V
2 0 V
3 -18 V
2 -159 V
3 331 V
2 66 V
2 113 V
3 -202 V
2 296 V
2 223 V
3 83 V
2 -218 V
3 -160 V
2 176 V
2 -507 V
3 43 V
2 -24 V
3 -68 V
2 -422 V
2 427 V
3 -21 V
stroke 4932 3389 M
2 -71 V
3 -3 V
2 -41 V
2 -41 V
3 358 V
2 61 V
3 -240 V
2 398 V
2 0 V
3 -225 V
2 0 V
3 -203 V
2 5 V
2 20 V
3 201 V
2 109 V
3 0 V
2 0 V
2 150 V
3 -41 V
2 30 V
3 -155 V
2 -112 V
2 92 V
3 148 V
2 -21 V
3 202 V
2 -461 V
2 153 V
3 131 V
2 119 V
3 -64 V
2 150 V
2 -312 V
3 -6 V
2 44 V
3 -156 V
2 90 V
2 443 V
3 -460 V
2 -186 V
3 485 V
2 -510 V
2 -15 V
3 222 V
2 -139 V
3 111 V
2 155 V
2 -201 V
3 -350 V
2 89 V
3 -64 V
2 0 V
2 60 V
3 -174 V
2 509 V
3 -374 V
2 158 V
2 -187 V
3 201 V
2 -83 V
3 38 V
2 -309 V
2 155 V
3 -157 V
2 510 V
3 -108 V
2 200 V
2 -41 V
3 0 V
2 -65 V
3 -67 V
2 327 V
2 -87 V
3 -22 V
2 -43 V
3 -182 V
2 116 V
2 -269 V
3 0 V
2 266 V
3 -489 V
2 533 V
2 182 V
3 -403 V
2 45 V
3 42 V
2 136 V
2 -327 V
3 827 V
2 -477 V
3 -179 V
2 -355 V
2 175 V
3 26 V
2 284 V
3 -217 V
2 289 V
2 89 V
3 -49 V
2 0 V
3 -116 V
2 92 V
2 92 V
stroke 5181 3850 M
3 -507 V
2 -141 V
3 0 V
2 3 V
2 306 V
3 -38 V
2 -156 V
3 335 V
2 -134 V
2 46 V
3 24 V
2 -207 V
3 53 V
2 148 V
2 -532 V
3 286 V
2 0 V
3 -194 V
2 0 V
2 379 V
3 219 V
2 -66 V
3 -43 V
2 74 V
2 -385 V
3 202 V
2 -181 V
3 228 V
2 178 V
2 210 V
3 206 V
2 -149 V
3 86 V
2 0 V
2 -66 V
3 49 V
2 198 V
3 -354 V
2 -296 V
2 -88 V
3 493 V
2 -274 V
3 -3 V
2 -218 V
2 -37 V
3 222 V
2 -87 V
3 486 V
2 -399 V
2 302 V
3 -280 V
2 63 V
3 205 V
2 -139 V
2 -135 V
3 48 V
2 200 V
3 0 V
2 200 V
2 -109 V
3 178 V
2 -561 V
2 90 V
3 92 V
2 0 V
3 -247 V
2 -113 V
2 -115 V
3 -109 V
2 -20 V
3 200 V
2 110 V
2 181 V
3 -421 V
2 -119 V
3 114 V
2 180 V
2 286 V
3 -132 V
2 109 V
3 50 V
2 -470 V
2 197 V
3 130 V
2 3 V
3 -198 V
2 92 V
2 37 V
3 0 V
2 -203 V
3 120 V
2 180 V
2 112 V
3 0 V
2 157 V
3 -341 V
2 161 V
2 83 V
3 135 V
2 -224 V
3 -282 V
2 419 V
2 -109 V
3 -2 V
stroke 5431 3831 M
2 108 V
3 114 V
2 -374 V
2 110 V
3 160 V
2 -2 V
3 -203 V
2 109 V
2 -467 V
3 0 V
2 -178 V
3 230 V
2 106 V
2 -269 V
3 -17 V
2 355 V
3 19 V
2 0 V
2 -67 V
3 -60 V
2 199 V
3 61 V
2 70 V
2 105 V
3 116 V
2 86 V
3 177 V
2 -332 V
2 -261 V
3 -4 V
2 177 V
3 -62 V
2 -244 V
2 415 V
3 -438 V
2 -111 V
3 -137 V
2 100 V
2 -58 V
3 222 V
2 72 V
3 239 V
2 0 V
2 -2 V
3 108 V
2 -503 V
3 150 V
2 291 V
2 -20 V
3 -332 V
2 38 V
3 -200 V
2 244 V
2 157 V
3 -261 V
2 244 V
3 290 V
2 41 V
2 -178 V
3 -736 V
2 270 V
3 27 V
2 303 V
2 -48 V
3 299 V
2 -178 V
3 448 V
2 -669 V
2 -3 V
3 154 V
2 -158 V
3 24 V
2 162 V
2 -224 V
3 114 V
2 66 V
3 0 V
2 -24 V
2 40 V
3 199 V
2 -194 V
3 26 V
2 0 V
2 100 V
3 -83 V
2 18 V
3 182 V
2 -65 V
2 -91 V
3 -160 V
2 159 V
3 220 V
2 73 V
2 242 V
3 -264 V
2 -248 V
3 -1 V
2 -220 V
2 -1 V
3 135 V
2 -156 V
3 -180 V
2 379 V
2 -89 V
stroke 5680 3812 M
3 175 V
2 -215 V
3 108 V
2 -219 V
2 441 V
3 -66 V
2 -270 V
3 0 V
2 -267 V
2 -135 V
3 334 V
2 290 V
3 0 V
2 -47 V
2 -447 V
3 -111 V
2 93 V
3 372 V
2 0 V
2 -288 V
3 0 V
2 0 V
3 115 V
2 -447 V
2 294 V
3 -249 V
2 225 V
3 128 V
2 -129 V
2 129 V
3 338 V
2 64 V
3 -239 V
2 -113 V
2 89 V
3 47 V
2 61 V
2 0 V
3 -198 V
2 -158 V
3 -84 V
2 -155 V
2 -340 V
3 443 V
2 -44 V
3 281 V
2 -323 V
2 -26 V
3 289 V
2 -218 V
3 66 V
2 69 V
2 221 V
3 -312 V
2 -69 V
3 206 V
2 61 V
2 -379 V
3 111 V
2 292 V
3 -355 V
2 -179 V
2 45 V
3 196 V
2 90 V
3 -242 V
2 -4 V
2 580 V
3 -17 V
2 -288 V
3 45 V
2 -179 V
2 -46 V
3 295 V
2 -159 V
3 356 V
2 -107 V
2 178 V
3 60 V
2 -87 V
3 293 V
2 65 V
2 21 V
3 -268 V
2 -65 V
3 180 V
2 19 V
2 -45 V
3 -249 V
2 -129 V
3 113 V
2 -246 V
2 -2 V
3 134 V
2 -104 V
3 149 V
2 292 V
2 -234 V
3 4 V
2 -69 V
3 50 V
2 -286 V
2 82 V
3 290 V
stroke 5930 3783 M
2 -173 V
3 0 V
2 219 V
2 -221 V
3 -155 V
2 -25 V
3 422 V
2 88 V
2 -441 V
3 246 V
2 -194 V
3 -120 V
2 420 V
2 -103 V
3 106 V
2 -198 V
3 -23 V
2 0 V
2 161 V
3 -690 V
2 306 V
3 289 V
2 -42 V
2 -4 V
3 -774 V
2 441 V
3 43 V
2 337 V
2 197 V
3 47 V
2 -132 V
3 -157 V
2 -85 V
2 263 V
3 -175 V
2 -131 V
3 62 V
2 -314 V
2 225 V
3 -23 V
2 400 V
3 -155 V
2 -202 V
2 26 V
3 -96 V
2 -130 V
3 -64 V
2 -315 V
2 0 V
3 467 V
2 -64 V
3 -114 V
2 155 V
2 -1 V
3 95 V
2 0 V
3 88 V
2 85 V
2 158 V
3 222 V
2 -68 V
3 0 V
2 -158 V
2 219 V
3 -259 V
2 19 V
3 -221 V
2 0 V
2 41 V
3 273 V
2 -512 V
3 -133 V
2 -75 V
2 310 V
3 50 V
2 -65 V
3 -115 V
2 32 V
2 -3 V
3 -224 V
2 240 V
3 -124 V
2 284 V
2 -42 V
3 46 V
2 -110 V
3 129 V
2 -69 V
2 -37 V
3 86 V
2 132 V
3 -1 V
2 0 V
2 -178 V
3 23 V
2 -67 V
3 260 V
2 -155 V
2 338 V
3 -314 V
2 -287 V
3 -22 V
2 263 V
2 -84 V
stroke 6179 3452 M
3 550 V
2 -41 V
3 -268 V
2 -22 V
2 -81 V
3 197 V
2 -267 V
2 133 V
3 64 V
2 22 V
3 135 V
2 -312 V
2 -225 V
3 -41 V
2 67 V
3 269 V
2 86 V
2 66 V
3 -61 V
2 -28 V
3 -354 V
2 -91 V
2 -449 V
3 115 V
2 111 V
3 175 V
2 -18 V
2 269 V
3 22 V
2 23 V
3 111 V
2 70 V
2 -113 V
3 151 V
2 45 V
3 -114 V
2 -216 V
2 402 V
3 65 V
2 0 V
3 -264 V
2 131 V
2 20 V
3 -175 V
2 -91 V
3 146 V
2 -60 V
2 133 V
3 -360 V
2 -171 V
3 2 V
2 285 V
2 112 V
3 -268 V
2 580 V
3 -249 V
2 -466 V
2 283 V
3 -237 V
2 -115 V
3 156 V
2 -63 V
2 578 V
3 0 V
2 -599 V
3 -111 V
2 423 V
2 -160 V
3 -68 V
2 453 V
3 -223 V
2 64 V
2 -223 V
3 -44 V
2 88 V
3 -1 V
2 -94 V
2 267 V
3 -239 V
2 158 V
3 -225 V
2 89 V
2 -469 V
3 -17 V
2 307 V
3 130 V
2 -212 V
2 128 V
3 200 V
2 -69 V
3 361 V
2 -157 V
2 -110 V
3 67 V
2 -92 V
3 25 V
2 -90 V
2 -130 V
3 -269 V
2 528 V
3 447 V
2 -553 V
2 91 V
3 200 V
stroke 6429 3677 M
2 379 V
3 -135 V
2 158 V
2 0 V
3 -181 V
2 47 V
3 63 V
2 0 V
2 -132 V
3 359 V
2 -67 V
3 -445 V
2 196 V
2 -218 V
3 371 V
2 -240 V
3 -64 V
2 378 V
2 -202 V
3 0 V
2 -86 V
3 45 V
2 -24 V
2 0 V
3 -201 V
2 0 V
3 -317 V
2 232 V
2 43 V
3 -135 V
2 137 V
3 158 V
2 -318 V
2 201 V
3 62 V
2 199 V
3 -242 V
2 -135 V
2 -45 V
3 -157 V
2 314 V
3 -286 V
2 219 V
2 -20 V
3 -1 V
2 -26 V
3 -134 V
2 51 V
2 -71 V
3 -118 V
2 79 V
3 14 V
2 223 V
2 -371 V
3 243 V
2 -27 V
3 -106 V
2 242 V
2 -91 V
3 -197 V
2 -21 V
3 397 V
2 -262 V
2 288 V
3 -201 V
2 82 V
3 9 V
2 107 V
2 -261 V
3 306 V
2 108 V
3 -177 V
2 -179 V
2 -24 V
3 48 V
2 -198 V
3 0 V
2 39 V
2 -197 V
3 178 V
2 0 V
2 403 V
3 -49 V
2 -90 V
3 119 V
2 22 V
2 -226 V
3 -305 V
2 352 V
3 16 V
2 0 V
2 0 V
3 204 V
2 0 V
3 23 V
2 -39 V
2 -184 V
3 55 V
2 -325 V
3 -91 V
2 332 V
2 -60 V
3 -242 V
2 81 V
stroke 6678 3336 M
3 47 V
2 -108 V
2 95 V
3 412 V
2 -466 V
3 -53 V
2 -39 V
2 -62 V
3 -155 V
2 107 V
3 213 V
2 81 V
2 -224 V
3 66 V
2 600 V
3 -111 V
2 -25 V
2 49 V
3 71 V
2 195 V
3 263 V
2 -355 V
2 -170 V
3 245 V
2 -138 V
3 47 V
2 -45 V
2 -310 V
3 195 V
2 -266 V
3 -21 V
2 177 V
2 157 V
3 -305 V
2 220 V
3 -71 V
2 -17 V
2 -203 V
3 41 V
2 -66 V
3 246 V
2 70 V
2 155 V
3 19 V
2 -339 V
3 206 V
2 -46 V
2 229 V
3 -381 V
2 578 V
3 25 V
2 172 V
2 -177 V
3 -179 V
2 -38 V
3 22 V
2 132 V
2 0 V
3 -374 V
2 150 V
3 137 V
2 152 V
2 26 V
3 -113 V
2 -271 V
3 -244 V
2 0 V
stroke
LTa
4680 3654 M
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
22 0 V
22 0 V
21 0 V
22 0 V
22 0 V
stroke
LTb
4680 4787 N
0 -2267 V
2159 0 V
0 2267 V
-2159 0 V
Z stroke
0.500 UP
0.500 UL
LTb
stroke
grestore
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plot_symanzik_average_action_b55.tex
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plot_symanzik_average_action_d45.tex
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/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
  TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
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plot_symanzik_nc.tex
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plot_topological_charge.tex
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	2 copy vpt Square fill Bsquare} bind def
/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
	2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def
/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def
/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def
/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def
/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def
/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def
/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def
/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def
/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def
/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def
/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def
/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def
/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def
/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def
/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def
/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def
/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def
/DiaE {stroke [] 0 setdash vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V closepath stroke} def
/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V closepath stroke} def
/TriUE {stroke [] 0 setdash vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V closepath stroke} def
/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V closepath stroke} def
/PentE {stroke [] 0 setdash gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  closepath stroke grestore} def
/CircE {stroke [] 0 setdash 
  hpt 0 360 arc stroke} def
/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def
/DiaW {stroke [] 0 setdash vpt add M
  hpt neg vpt neg V hpt vpt neg V
  hpt vpt V hpt neg vpt V Opaque stroke} def
/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M
  0 vpt2 neg V hpt2 0 V 0 vpt2 V
  hpt2 neg 0 V Opaque stroke} def
/TriUW {stroke [] 0 setdash vpt 1.12 mul add M
  hpt neg vpt -1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt 1.62 mul V Opaque stroke} def
/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M
  hpt neg vpt 1.62 mul V
  hpt 2 mul 0 V
  hpt neg vpt -1.62 mul V Opaque stroke} def
/PentW {stroke [] 0 setdash gsave
  translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
  Opaque stroke grestore} def
/CircW {stroke [] 0 setdash 
  hpt 0 360 arc Opaque stroke} def
/BoxFill {gsave Rec 1 setgray fill grestore} def
/Density {
  /Fillden exch def
  currentrgbcolor
  /ColB exch def /ColG exch def /ColR exch def
  /ColR ColR Fillden mul Fillden sub 1 add def
  /ColG ColG Fillden mul Fillden sub 1 add def
  /ColB ColB Fillden mul Fillden sub 1 add def
  ColR ColG ColB setrgbcolor} def
/BoxColFill {gsave Rec PolyFill} def
/PolyFill {gsave Density fill grestore grestore} def
/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def
%
% PostScript Level 1 Pattern Fill routine for rectangles
% Usage: x y w h s a XX PatternFill
%	x,y = lower left corner of box to be filled
%	w,h = width and height of box
%	  a = angle in degrees between lines and x-axis
%	 XX = 0/1 for no/yes cross-hatch
%
/PatternFill {gsave /PFa [ 9 2 roll ] def
  PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate
  PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec
  gsave 1 setgray fill grestore clip
  currentlinewidth 0.5 mul setlinewidth
  /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def
  0 0 M PFa 5 get rotate PFs -2 div dup translate
  0 1 PFs PFa 4 get div 1 add floor cvi
	{PFa 4 get mul 0 M 0 PFs V} for
  0 PFa 6 get ne {
	0 1 PFs PFa 4 get div 1 add floor cvi
	{PFa 4 get mul 0 2 1 roll M PFs 0 V} for
 } if
  stroke grestore} def
%
/languagelevel where
 {pop languagelevel} {1} ifelse
 2 lt
	{/InterpretLevel1 true def}
	{/InterpretLevel1 Level1 def}
 ifelse
%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8}
	bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} 
>> matrix makepattern
/Pat1 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
	0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke}
>> matrix makepattern
/Pat2 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L
	8 8 L 8 0 L 0 0 L fill}
>> matrix makepattern
/Pat3 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
	0 12 M 12 0 L stroke}
>> matrix makepattern
/Pat4 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
	0 -4 M 12 8 L stroke}
>> matrix makepattern
/Pat5 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
	0 12 M 8 -4 L 4 12 M 10 0 L stroke}
>> matrix makepattern
/Pat6 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
	0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
>> matrix makepattern
/Pat7 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
	12 0 M -4 8 L 12 4 M 0 10 L stroke}
>> matrix makepattern
/Pat8 exch def
<< Tile8x8
 /PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
	-4 0 M 12 8 L -4 4 M 8 10 L stroke}
>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
  TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
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LT2
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LT2
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%3266 894 TriU
3277 894 TriU
%3288 894 TriU
%3300 894 TriU
3311 894 TriU
%3323 894 TriU
%3334 894 TriU
3346 894 TriU
%3357 894 TriU
%3369 894 TriU
3380 893 TriU
%3392 893 TriU
%3403 893 TriU
3415 893 TriU
%3426 893 TriU
%3438 893 TriU
3449 893 TriU
%3461 893 TriU
%3472 893 TriU
3483 893 TriU
%3495 893 TriU
%3506 893 TriU
3518 893 TriU
%3529 893 TriU
%3541 893 TriU
3552 893 TriU
%3564 893 TriU
%3575 893 TriU
3587 893 TriU
%3598 893 TriU
%3610 893 TriU
3621 893 TriU
%3633 893 TriU
%3644 893 TriU
3655 893 TriU
%3667 893 TriU
%3678 893 TriU
3690 893 TriU
%3701 893 TriU
%3713 893 TriU
3724 893 TriU
%3736 893 TriU
%3747 893 TriU
3759 893 TriU
%3770 894 TriU
%3782 894 TriU
3793 894 TriU
%3805 894 TriU
%3816 894 TriU
3828 894 TriU
%3839 894 TriU
%3850 895 TriU
3862 895 TriU
%3873 895 TriU
%3885 895 TriU
3896 896 TriU
%3908 896 TriU
%3919 896 TriU
3931 897 TriU
%3942 897 TriU
%3954 898 TriU
3965 898 TriU
%3977 899 TriU
%3988 900 TriU
4000 901 TriU
%4011 902 TriU
%4023 903 TriU
4034 904 TriU
%4045 906 TriU
%4057 908 TriU
4068 911 TriU
%4080 915 TriU
%4091 920 TriU
4103 926 TriU
%4114 933 TriU
%4126 942 TriU
4137 951 TriU
%4149 958 TriU
%4160 962 TriU
4172 964 TriU
%4183 965 TriU
%4195 966 TriU
4206 966 TriU
%4218 966 TriU
%4229 966 TriU
4240 966 TriU
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%4263 965 TriU
4275 965 TriU
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%4298 965 TriU
4309 965 TriU
%4321 965 TriU
%4332 964 TriU
4344 964 TriU
%4355 964 TriU
%4367 964 TriU
4378 964 TriU
%4390 964 TriU
%4401 964 TriU
4412 963 TriU
%4424 963 TriU
%4435 963 TriU
4447 963 TriU
%4458 963 TriU
%4470 962 TriU
4481 962 TriU
%4493 962 TriU
%4504 962 TriU
4516 962 TriU
%4527 962 TriU
%4539 961 TriU
4550 961 TriU
%4562 961 TriU
%4573 961 TriU
4585 960 TriU
%4596 960 TriU
%4607 960 TriU
4619 960 TriU
%4630 959 TriU
%4642 959 TriU
4653 959 TriU
%4665 958 TriU
%4676 958 TriU
0.650 UP
0.650 UL
LTb
2547 1327 DiaF
%2574 1658 DiaF
2601 1633 DiaF
%2628 1595 DiaF
2655 1593 DiaF
%2682 1623 DiaF
2709 1659 DiaF
%2736 1674 DiaF
2763 1675 DiaF
%2790 1677 DiaF
2817 1679 DiaF
%2844 1688 DiaF
2871 1706 DiaF
%2898 1734 DiaF
2925 1769 DiaF
%2952 1808 DiaF
2979 1843 DiaF
%3006 1861 DiaF
3033 1865 DiaF
%3060 1867 DiaF
3087 1868 DiaF
%3114 1868 DiaF
3141 1868 DiaF
%3168 1868 DiaF
3195 1869 DiaF
%3222 1869 DiaF
3249 1869 DiaF
%3276 1869 DiaF
3303 1869 DiaF
%3330 1869 DiaF
3357 1869 DiaF
%3384 1869 DiaF
3411 1869 DiaF
%3438 1869 DiaF
3465 1869 DiaF
%3492 1869 DiaF
3519 1869 DiaF
%3546 1868 DiaF
3573 1868 DiaF
%3600 1868 DiaF
3626 1868 DiaF
%3653 1867 DiaF
3680 1867 DiaF
%3707 1866 DiaF
3734 1866 DiaF
%3761 1865 DiaF
3788 1864 DiaF
%3815 1863 DiaF
3842 1861 DiaF
%3869 1859 DiaF
3896 1857 DiaF
%3923 1853 DiaF
3950 1846 DiaF
%3977 1836 DiaF
4004 1819 DiaF
%4031 1801 DiaF
4058 1793 DiaF
%4085 1791 DiaF
4112 1791 DiaF
%4139 1791 DiaF
4166 1790 DiaF
%4193 1790 DiaF
4220 1790 DiaF
%4247 1790 DiaF
4274 1790 DiaF
%4301 1790 DiaF
4328 1790 DiaF
%4355 1790 DiaF
4382 1790 DiaF
%4409 1790 DiaF
4436 1790 DiaF
%4463 1790 DiaF
4490 1790 DiaF
%4517 1790 DiaF
4544 1790 DiaF
%4571 1790 DiaF
4598 1790 DiaF
%4625 1790 DiaF
4652 1790 DiaF
%4679 1790 DiaF
0.650 UP
0.650 UL
LTb
2531 762 Dia
%2543 1222 Dia
%2554 1456 Dia
2566 1559 Dia
%2577 1592 Dia
%2589 1580 Dia
2600 1545 Dia
%2612 1507 Dia
%2623 1475 Dia
2635 1448 Dia
%2646 1428 Dia
%2658 1416 Dia
2669 1413 Dia
%2681 1418 Dia
%2692 1428 Dia
2704 1440 Dia
%2715 1450 Dia
%2726 1458 Dia
2738 1464 Dia
%2749 1470 Dia
%2761 1476 Dia
2772 1482 Dia
%2784 1488 Dia
%2795 1491 Dia
2807 1492 Dia
%2818 1491 Dia
%2830 1491 Dia
2841 1491 Dia
%2853 1495 Dia
%2864 1504 Dia
2876 1519 Dia
%2887 1539 Dia
%2898 1565 Dia
2910 1591 Dia
%2921 1614 Dia
%2933 1632 Dia
2944 1645 Dia
%2956 1656 Dia
%2967 1665 Dia
2979 1673 Dia
%2990 1679 Dia
%3002 1684 Dia
3013 1687 Dia
%3025 1688 Dia
%3036 1689 Dia
3048 1690 Dia
%3059 1690 Dia
%3071 1690 Dia
3082 1690 Dia
%3093 1690 Dia
%3105 1691 Dia
3116 1691 Dia
%3128 1691 Dia
%3139 1691 Dia
3151 1691 Dia
%3162 1691 Dia
%3174 1691 Dia
3185 1691 Dia
%3197 1691 Dia
%3208 1691 Dia
3220 1691 Dia
%3231 1691 Dia
%3243 1691 Dia
3254 1691 Dia
%3266 1691 Dia
%3277 1691 Dia
3288 1691 Dia
%3300 1691 Dia
%3311 1691 Dia
3323 1691 Dia
%3334 1691 Dia
%3346 1691 Dia
3357 1691 Dia
%3369 1691 Dia
%3380 1691 Dia
3392 1691 Dia
%3403 1691 Dia
%3415 1691 Dia
3426 1691 Dia
%3438 1691 Dia
%3449 1691 Dia
3461 1691 Dia
%3472 1691 Dia
%3483 1691 Dia
3495 1691 Dia
%3506 1691 Dia
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3529 1691 Dia
%3541 1691 Dia
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3564 1691 Dia
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%3587 1691 Dia
3598 1691 Dia
%3610 1691 Dia
%3621 1691 Dia
3633 1691 Dia
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3667 1691 Dia
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%3690 1691 Dia
3701 1691 Dia
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3736 1691 Dia
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%3759 1691 Dia
3770 1691 Dia
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%3793 1691 Dia
3805 1691 Dia
%3816 1691 Dia
%3828 1690 Dia
3839 1690 Dia
%3850 1690 Dia
%3862 1690 Dia
3873 1690 Dia
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3908 1690 Dia
%3919 1690 Dia
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3942 1690 Dia
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%3965 1690 Dia
3977 1690 Dia
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4011 1690 Dia
%4023 1689 Dia
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4045 1689 Dia
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4080 1689 Dia
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4114 1689 Dia
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4149 1689 Dia
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4183 1688 Dia
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%4206 1688 Dia
4218 1688 Dia
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4252 1688 Dia
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4286 1687 Dia
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4321 1687 Dia
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4355 1686 Dia
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4390 1686 Dia
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4424 1685 Dia
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4458 1684 Dia
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4493 1683 Dia
%4504 1683 Dia
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4527 1682 Dia
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%4550 1681 Dia
4562 1680 Dia
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%4585 1679 Dia
4596 1678 Dia
%4607 1677 Dia
%4619 1676 Dia
4630 1675 Dia
%4642 1673 Dia
%4653 1671 Dia
4665 1669 Dia
4676 1666 Dia
0.650 UP
0.650 UL
LT2
2547 1396 CircleF
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2601 1518 CircleF
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2655 1475 CircleF
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2709 1426 CircleF
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2925 1440 CircleF
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3141 1433 CircleF
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4652 1429 CircleF
%4679 1429 CircleF
0.650 UP
0.650 UL
LT2
2531 825 Circle
%2543 1316 Circle
%2554 1476 Circle
2566 1521 Circle
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2600 1537 Circle
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2635 1542 Circle
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2704 1551 Circle
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2738 1547 Circle
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2807 1538 Circle
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2876 1531 Circle
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2910 1529 Circle
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2944 1528 Circle
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3116 1522 Circle
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3254 1519 Circle
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0.650 UP
0.650 UL
LT3
2520 1401 BoxF
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0.650 UP
0.650 UL
LT3
2520 1401 Box
%2531 1075 Box
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2554 868 Box
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0.500 UL
LTb
2520 2519 N
0 -2267 V
2159 0 V
0 2267 V
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Z stroke
0.500 UP
0.500 UL
LTb
0.500 UL
LTb
4680 252 M
63 0 V
2096 0 R
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4680 705 M
63 0 V
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4680 1159 M
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4680 1612 M
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4680 2066 M
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4680 2519 M
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5220 252 M
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5490 252 M
0 63 V
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0 -63 V
5760 252 M
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0 -63 V
6029 252 M
0 63 V
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0 -63 V
6299 252 M
0 63 V
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0 -63 V
6569 252 M
0 63 V
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0 2204 R
0 -63 V
stroke
4680 2519 N
0 -2267 V
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Z stroke
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LTb
LCb setrgbcolor
LTb
0.650 UP
0.650 UL
LTb
0.650 UP
0.650 UL
LT0
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%6731 1152 TriUF
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0.650 UP
0.650 UL
LT0
4680 1488 TriU
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4723 935 TriU
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4766 1106 TriU
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4809 1117 TriU
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4852 1075 TriU
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5325 1058 TriU
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5497 1059 TriU
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0.650 UP
0.650 UL
LTb
4707 1274 DiaF
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4761 1659 DiaF
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4815 1585 DiaF
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6812 1528 DiaF
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0.650 UP
0.650 UL
LTb
4701 1071 Dia
%4723 1464 Dia
4744 1572 Dia
%4766 1569 Dia
4787 1516 Dia
%4809 1465 Dia
4830 1427 Dia
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4873 1374 Dia
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4916 1343 Dia
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4959 1313 Dia
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5002 1289 Dia
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5045 1282 Dia
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5088 1279 Dia
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5131 1277 Dia
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5217 1274 Dia
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5518 1268 Dia
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6077 1261 Dia
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0.6500 UP
0.6500 UL
LT2
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0.650 UP
0.650 UL
LT2
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%4723 1504 Circle
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0.650 UP
0.650 UL
LT3
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0.650 UP
0.650 UL
LT3
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0.500 UL
LTb
4680 2519 N
0 -2267 V
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0 2267 V
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Z stroke
0.500 UP
0.500 UL
LTb
0.500 UL
LTb
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360 4787 M
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630 2520 M
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900 2520 M
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1170 2520 M
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1440 2520 M
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1709 2520 M
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1979 2520 M
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2249 2520 M
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2519 2520 M
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0 -63 V
stroke
360 4787 N
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Z stroke
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LTb
LCb setrgbcolor
LTb
0.650 UP
0.650 UL
LTb
0.650 UP
0.650 UL
LT0
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0.650 UP
0.650 UL
LT0
360 3349 TriU
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392 3663 TriU
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0.650 UP
0.650 UL
LTb
360 2643 DiaF
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414 3734 DiaF
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468 3729 DiaF
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522 3738 DiaF
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0.650 UP
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LTb
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2303 3336 Dia
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0.650 UP
0.650 UL
LT2
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0.650 UP
0.650 UL
LT2
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LT3
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LT3
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457 4051 Box
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490 4010 Box
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522 3989 Box
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554 3975 Box
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587 3969 Box
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619 3957 Box
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651 3918 Box
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684 3875 Box
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716 3841 Box
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749 3838 Box
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781 3851 Box
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813 3879 Box
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846 3903 Box
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878 3910 Box
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911 3916 Box
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943 3926 Box
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975 3943 Box
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1008 3969 Box
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1040 3990 Box
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1072 4009 Box
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1105 4035 Box
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1137 4048 Box
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1170 4054 Box
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1202 4055 Box
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1234 4055 Box
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1267 4056 Box
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1299 4056 Box
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1332 4057 Box
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1364 4057 Box
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1396 4058 Box
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1429 4059 Box
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1461 4060 Box
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1493 4061 Box
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1526 4062 Box
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1558 4065 Box
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1591 4069 Box
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1623 4075 Box
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1655 4090 Box
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1720 4130 Box
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1753 4130 Box
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1785 4128 Box
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1817 4125 Box
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1850 4122 Box
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1882 4116 Box
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1914 4105 Box
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1947 4082 Box
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1979 4061 Box
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2012 4058 Box
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2044 4057 Box
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%2068 4057 Box
2076 4057 Box
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2109 4058 Box
%2117 4058 Box
%2125 4058 Box
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2141 4058 Box
%2149 4058 Box
%2157 4058 Box
%2165 4058 Box
2174 4058 Box
%2182 4058 Box
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2206 4058 Box
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2238 4058 Box
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2271 4058 Box
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2303 4058 Box
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2335 4058 Box
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2400 4058 Box
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2465 4058 Box
%2473 4058 Box
%2481 4058 Box
%2489 4058 Box
2497 4058 Box
%2506 4058 Box
%2514 4058 Box
0.500 UL
LTb
360 4787 N
0 -2267 V
2159 0 V
0 2267 V
-2159 0 V
Z stroke
0.500 UP
0.500 UL
LTb
0.500 UL
LTb
2520 2520 M
63 0 V
2096 0 R
-63 0 V
2520 2973 M
63 0 V
2096 0 R
-63 0 V
2520 3427 M
63 0 V
2096 0 R
-63 0 V
2520 3880 M
63 0 V
2096 0 R
-63 0 V
2520 4334 M
63 0 V
2096 0 R
-63 0 V
2520 4787 M
63 0 V
2096 0 R
-63 0 V
2520 2520 M
0 63 V
0 2204 R
0 -63 V
2790 2520 M
0 63 V
0 2204 R
0 -63 V
3060 2520 M
0 63 V
0 2204 R
0 -63 V
3330 2520 M
0 63 V
0 2204 R
0 -63 V
3600 2520 M
0 63 V
0 2204 R
0 -63 V
3869 2520 M
0 63 V
0 2204 R
0 -63 V
4139 2520 M
0 63 V
0 2204 R
0 -63 V
4409 2520 M
0 63 V
0 2204 R
0 -63 V
4679 2520 M
0 63 V
0 2204 R
0 -63 V
stroke
2520 4787 N
0 -2267 V
2159 0 V
0 2267 V
-2159 0 V
Z stroke
LCb setrgbcolor
LTb
LCb setrgbcolor
LTb
0.650 UP
0.650 UL
LTb
0.650 UP
0.650 UL
LT0
2520 3349 TriUF
%2547 3672 TriUF
2574 3712 TriUF
%2601 3737 TriUF
2628 3707 TriUF
%2655 3685 TriUF
2682 3678 TriUF
%2709 3696 TriUF
2736 3727 TriUF
%2763 3755 TriUF
2790 3748 TriUF
%2817 3725 TriUF
2844 3697 TriUF
%2871 3675 TriUF
2898 3665 TriUF
%2925 3664 TriUF
2952 3666 TriUF
%2979 3668 TriUF
3006 3670 TriUF
%3033 3672 TriUF
3060 3675 TriUF
%3087 3677 TriUF
3114 3679 TriUF
%3141 3681 TriUF
3168 3680 TriUF
%3195 3680 TriUF
3222 3687 TriUF
%3249 3695 TriUF
3276 3702 TriUF
%3303 3711 TriUF
3330 3726 TriUF
%3357 3747 TriUF
3384 3758 TriUF
%3411 3760 TriUF
3438 3759 TriUF
%3465 3758 TriUF
3492 3755 TriUF
%3519 3750 TriUF
3546 3741 TriUF
%3573 3726 TriUF
3600 3708 TriUF
%3626 3700 TriUF
3653 3698 TriUF
%3680 3698 TriUF
3707 3698 TriUF
%3734 3698 TriUF
3761 3699 TriUF
%3788 3699 TriUF
3815 3699 TriUF
%3842 3700 TriUF
3869 3700 TriUF
%3896 3700 TriUF
3923 3701 TriUF
%3950 3701 TriUF
3977 3701 TriUF
%4004 3701 TriUF
4031 3702 TriUF
%4058 3702 TriUF
4085 3702 TriUF
%4112 3702 TriUF
4139 3703 TriUF
%4166 3703 TriUF
4193 3704 TriUF
%4220 3704 TriUF
4247 3704 TriUF
%4274 3705 TriUF
4301 3705 TriUF
%4328 3706 TriUF
4355 3707 TriUF
%4382 3708 TriUF
4409 3709 TriUF
%4436 3710 TriUF
4463 3712 TriUF
%4490 3715 TriUF
4517 3719 TriUF
%4544 3726 TriUF
4571 3738 TriUF
%4598 3758 TriUF
4625 3773 TriUF
%4652 3776 TriUF
4679 3777 TriUF
0.650 UP
0.650 UL
LT0
2520 3349 TriU
%2531 3203 TriU
%2543 3509 TriU
2554 3672 TriU
%2566 3760 TriU
%2577 3819 TriU
2589 3850 TriU
%2600 3854 TriU
%2612 3844 TriU
2623 3834 TriU
%2635 3828 TriU
%2646 3823 TriU
2658 3816 TriU
%2669 3807 TriU
%2681 3798 TriU
2692 3790 TriU
%2704 3784 TriU
%2715 3781 TriU
2726 3778 TriU
%2738 3770 TriU
%2749 3758 TriU
2761 3747 TriU
%2772 3739 TriU
%2784 3733 TriU
2795 3730 TriU
%2807 3729 TriU
%2818 3727 TriU
2830 3722 TriU
%2841 3714 TriU
%2853 3704 TriU
2864 3692 TriU
%2876 3680 TriU
%2887 3667 TriU
2898 3655 TriU
%2910 3646 TriU
%2921 3641 TriU
2933 3641 TriU
%2944 3645 TriU
%2956 3653 TriU
2967 3661 TriU
%2979 3669 TriU
%2990 3675 TriU
3002 3680 TriU
%3013 3685 TriU
%3025 3689 TriU
3036 3695 TriU
%3048 3701 TriU
%3059 3709 TriU
3071 3717 TriU
%3082 3727 TriU
%3093 3735 TriU
3105 3741 TriU
%3116 3744 TriU
%3128 3746 TriU
3139 3747 TriU
%3151 3748 TriU
%3162 3749 TriU
3174 3749 TriU
%3185 3749 TriU
%3197 3750 TriU
3208 3750 TriU
%3220 3751 TriU
%3231 3751 TriU
3243 3751 TriU
%3254 3752 TriU
%3266 3752 TriU
3277 3753 TriU
%3288 3754 TriU
%3300 3755 TriU
3311 3756 TriU
%3323 3758 TriU
%3334 3760 TriU
3346 3763 TriU
%3357 3767 TriU
%3369 3772 TriU
3380 3778 TriU
%3392 3785 TriU
%3403 3790 TriU
3415 3792 TriU
%3426 3790 TriU
%3438 3785 TriU
3449 3778 TriU
%3461 3769 TriU
%3472 3760 TriU
3483 3753 TriU
%3495 3749 TriU
%3506 3747 TriU
3518 3745 TriU
%3529 3745 TriU
%3541 3744 TriU
3552 3744 TriU
%3564 3743 TriU
%3575 3742 TriU
3587 3742 TriU
%3598 3741 TriU
%3610 3740 TriU
3621 3740 TriU
%3633 3739 TriU
%3644 3738 TriU
3655 3737 TriU
%3667 3736 TriU
%3678 3734 TriU
3690 3733 TriU
%3701 3731 TriU
%3713 3729 TriU
3724 3726 TriU
%3736 3723 TriU
%3747 3719 TriU
3759 3713 TriU
%3770 3707 TriU
%3782 3698 TriU
3793 3688 TriU
%3805 3677 TriU
%3816 3667 TriU
3828 3660 TriU
%3839 3654 TriU
%3850 3649 TriU
3862 3643 TriU
%3873 3636 TriU
%3885 3628 TriU
3896 3620 TriU
%3908 3612 TriU
%3919 3606 TriU
3931 3602 TriU
%3942 3600 TriU
%3954 3599 TriU
3965 3599 TriU
%3977 3599 TriU
%3988 3599 TriU
4000 3599 TriU
%4011 3599 TriU
%4023 3599 TriU
4034 3599 TriU
%4045 3599 TriU
%4057 3599 TriU
4068 3599 TriU
%4080 3599 TriU
%4091 3599 TriU
4103 3599 TriU
%4114 3599 TriU
%4126 3599 TriU
4137 3599 TriU
%4149 3599 TriU
%4160 3599 TriU
4172 3599 TriU
%4183 3599 TriU
%4195 3599 TriU
4206 3600 TriU
%4218 3600 TriU
%4229 3600 TriU
4240 3600 TriU
%4252 3600 TriU
%4263 3600 TriU
4275 3600 TriU
%4286 3600 TriU
%4298 3600 TriU
4309 3600 TriU
%4321 3600 TriU
%4332 3600 TriU
4344 3600 TriU
%4355 3601 TriU
%4367 3601 TriU
4378 3601 TriU
%4390 3601 TriU
%4401 3601 TriU
4412 3601 TriU
%4424 3601 TriU
%4435 3601 TriU
4447 3602 TriU
%4458 3602 TriU
%4470 3602 TriU
4481 3602 TriU
%4493 3602 TriU
%4504 3603 TriU
4516 3603 TriU
%4527 3603 TriU
%4539 3603 TriU
4550 3604 TriU
%4562 3604 TriU
%4573 3604 TriU
4585 3605 TriU
%4596 3605 TriU
%4607 3605 TriU
4619 3606 TriU
%4630 3607 TriU
%4642 3607 TriU
4653 3608 TriU
%4665 3609 TriU
%4676 3610 TriU
0.650 UP
0.650 UL
LTb
2520 2643 DiaF
%2547 3271 DiaF
2574 3717 DiaF
%2601 3811 DiaF
2628 3785 DiaF
%2655 3779 DiaF
2682 3809 DiaF
%2709 3850 DiaF
2736 3865 DiaF
%2763 3855 DiaF
2790 3843 DiaF
%2817 3843 DiaF
2844 3842 DiaF
%2871 3829 DiaF
2898 3819 DiaF
%2925 3798 DiaF
2952 3778 DiaF
%2979 3759 DiaF
3006 3736 DiaF
%3033 3716 DiaF
3060 3706 DiaF
%3087 3702 DiaF
3114 3700 DiaF
%3141 3699 DiaF
3168 3698 DiaF
%3195 3697 DiaF
3222 3696 DiaF
%3249 3695 DiaF
3276 3694 DiaF
%3303 3694 DiaF
3330 3693 DiaF
%3357 3693 DiaF
3384 3692 DiaF
%3411 3692 DiaF
3438 3691 DiaF
%3465 3691 DiaF
3492 3690 DiaF
%3519 3690 DiaF
3546 3690 DiaF
%3573 3689 DiaF
3600 3689 DiaF
%3626 3688 DiaF
3653 3688 DiaF
%3680 3688 DiaF
3707 3687 DiaF
%3734 3687 DiaF
3761 3687 DiaF
%3788 3687 DiaF
3815 3686 DiaF
%3842 3686 DiaF
3869 3685 DiaF
%3896 3685 DiaF
3923 3685 DiaF
%3950 3684 DiaF
3977 3684 DiaF
%4004 3684 DiaF
4031 3683 DiaF
%4058 3683 DiaF
4085 3682 DiaF
%4112 3682 DiaF
4139 3681 DiaF
%4166 3680 DiaF
4193 3680 DiaF
%4220 3679 DiaF
4247 3678 DiaF
%4274 3677 DiaF
4301 3677 DiaF
%4328 3675 DiaF
4355 3674 DiaF
%4382 3673 DiaF
4409 3671 DiaF
%4436 3670 DiaF
4463 3667 DiaF
%4490 3665 DiaF
4517 3661 DiaF
%4544 3656 DiaF
4571 3649 DiaF
%4598 3639 DiaF
4625 3621 DiaF
%4652 3596 DiaF
4679 3570 DiaF
0.650 UP
0.650 UL
LTb
2520 2643 Dia
%2531 2926 Dia
%2543 3160 Dia
2554 3413 Dia
%2566 3579 Dia
%2577 3648 Dia
2589 3659 Dia
%2600 3646 Dia
%2612 3631 Dia
2623 3627 Dia
%2635 3630 Dia
%2646 3634 Dia
2658 3633 Dia
%2669 3632 Dia
%2681 3631 Dia
2692 3628 Dia
%2704 3619 Dia
%2715 3604 Dia
2726 3584 Dia
%2738 3560 Dia
%2749 3534 Dia
2761 3510 Dia
%2772 3491 Dia
%2784 3478 Dia
2795 3471 Dia
%2807 3468 Dia
%2818 3466 Dia
2830 3464 Dia
%2841 3459 Dia
%2853 3452 Dia
2864 3442 Dia
%2876 3431 Dia
%2887 3418 Dia
2898 3405 Dia
%2910 3392 Dia
%2921 3382 Dia
2933 3374 Dia
%2944 3371 Dia
%2956 3371 Dia
2967 3372 Dia
%2979 3372 Dia
%2990 3369 Dia
3002 3364 Dia
%3013 3360 Dia
%3025 3357 Dia
3036 3356 Dia
%3048 3355 Dia
%3059 3354 Dia
3071 3354 Dia
%3082 3353 Dia
%3093 3353 Dia
3105 3353 Dia
%3116 3352 Dia
%3128 3352 Dia
3139 3351 Dia
%3151 3351 Dia
%3162 3350 Dia
3174 3350 Dia
%3185 3350 Dia
%3197 3349 Dia
3208 3349 Dia
%3220 3348 Dia
%3231 3348 Dia
3243 3348 Dia
%3254 3347 Dia
%3266 3347 Dia
3277 3347 Dia
%3288 3346 Dia
%3300 3346 Dia
3311 3346 Dia
%3323 3345 Dia
%3334 3345 Dia
3346 3345 Dia
%3357 3344 Dia
%3369 3344 Dia
3380 3344 Dia
%3392 3344 Dia
%3403 3343 Dia
3415 3343 Dia
%3426 3343 Dia
%3438 3342 Dia
3449 3342 Dia
%3461 3342 Dia
%3472 3342 Dia
3483 3342 Dia
%3495 3341 Dia
%3506 3341 Dia
3518 3341 Dia
%3529 3341 Dia
%3541 3340 Dia
3552 3340 Dia
%3564 3340 Dia
%3575 3340 Dia
3587 3340 Dia
%3598 3339 Dia
%3610 3339 Dia
3621 3339 Dia
%3633 3339 Dia
%3644 3339 Dia
3655 3338 Dia
%3667 3338 Dia
%3678 3338 Dia
3690 3338 Dia
%3701 3338 Dia
%3713 3337 Dia
3724 3337 Dia
%3736 3337 Dia
%3747 3337 Dia
3759 3337 Dia
%3770 3337 Dia
%3782 3336 Dia
3793 3336 Dia
%3805 3336 Dia
%3816 3336 Dia
3828 3336 Dia
%3839 3335 Dia
%3850 3335 Dia
3862 3335 Dia
%3873 3335 Dia
%3885 3335 Dia
3896 3334 Dia
%3908 3334 Dia
%3919 3334 Dia
3931 3334 Dia
%3942 3334 Dia
%3954 3333 Dia
3965 3333 Dia
%3977 3333 Dia
%3988 3333 Dia
4000 3332 Dia
%4011 3332 Dia
%4023 3332 Dia
4034 3331 Dia
%4045 3331 Dia
%4057 3331 Dia
4068 3330 Dia
%4080 3330 Dia
%4091 3329 Dia
4103 3329 Dia
%4114 3328 Dia
%4126 3328 Dia
4137 3327 Dia
%4149 3327 Dia
%4160 3326 Dia
4172 3325 Dia
%4183 3324 Dia
%4195 3323 Dia
4206 3322 Dia
%4218 3320 Dia
%4229 3319 Dia
4240 3317 Dia
%4252 3314 Dia
%4263 3311 Dia
4275 3307 Dia
%4286 3302 Dia
%4298 3296 Dia
4309 3289 Dia
%4321 3280 Dia
%4332 3272 Dia
4344 3264 Dia
%4355 3259 Dia
%4367 3256 Dia
4378 3255 Dia
%4390 3254 Dia
%4401 3254 Dia
4412 3253 Dia
%4424 3253 Dia
%4435 3253 Dia
4447 3253 Dia
%4458 3253 Dia
%4470 3253 Dia
4481 3253 Dia
%4493 3253 Dia
%4504 3253 Dia
4516 3253 Dia
%4527 3253 Dia
%4539 3253 Dia
4550 3253 Dia
%4562 3253 Dia
%4573 3253 Dia
4585 3253 Dia
%4596 3253 Dia
%4607 3253 Dia
4619 3253 Dia
%4630 3253 Dia
%4642 3253 Dia
4653 3253 Dia
%4665 3253 Dia
%4676 3252 Dia
0.650 UP
0.650 UL
LT2
2520 3460 CircleF
%2547 3158 CircleF
2574 3194 CircleF
%2601 3190 CircleF
2628 3224 CircleF
%2655 3260 CircleF
2682 3312 CircleF
%2709 3370 CircleF
2736 3399 CircleF
%2763 3393 CircleF
2790 3373 CircleF
%2817 3341 CircleF
2844 3310 CircleF
%2871 3295 CircleF
2898 3289 CircleF
%2925 3286 CircleF
2952 3284 CircleF
%2979 3283 CircleF
3006 3282 CircleF
%3033 3281 CircleF
3060 3281 CircleF
%3087 3280 CircleF
3114 3280 CircleF
%3141 3281 CircleF
3168 3281 CircleF
%3195 3283 CircleF
3222 3285 CircleF
%3249 3289 CircleF
3276 3296 CircleF
%3303 3307 CircleF
3330 3323 CircleF
%3357 3337 CircleF
3384 3344 CircleF
%3411 3345 CircleF
3438 3345 CircleF
%3465 3345 CircleF
3492 3345 CircleF
%3519 3345 CircleF
3546 3344 CircleF
%3573 3344 CircleF
3600 3344 CircleF
%3626 3343 CircleF
3653 3343 CircleF
%3680 3342 CircleF
3707 3342 CircleF
%3734 3342 CircleF
3761 3341 CircleF
%3788 3341 CircleF
3815 3340 CircleF
%3842 3340 CircleF
3869 3340 CircleF
%3896 3339 CircleF
3923 3339 CircleF
%3950 3338 CircleF
3977 3338 CircleF
%4004 3337 CircleF
4031 3337 CircleF
%4058 3337 CircleF
4085 3336 CircleF
%4112 3336 CircleF
4139 3335 CircleF
%4166 3335 CircleF
4193 3335 CircleF
%4220 3334 CircleF
4247 3334 CircleF
%4274 3333 CircleF
4301 3333 CircleF
%4328 3333 CircleF
4355 3332 CircleF
%4382 3332 CircleF
4409 3331 CircleF
%4436 3331 CircleF
4463 3331 CircleF
%4490 3330 CircleF
4517 3330 CircleF
%4544 3329 CircleF
4571 3329 CircleF
%4598 3328 CircleF
4625 3327 CircleF
%4652 3327 CircleF
4679 3326 CircleF
0.650 UP
0.650 UL
LT2
2520 3460 Circle
%2531 3232 Circle
%2543 3140 Circle
2554 3085 Circle
%2566 3044 Circle
%2577 3036 Circle
2589 3055 Circle
%2600 3089 Circle
%2612 3135 Circle
2623 3189 Circle
%2635 3240 Circle
%2646 3277 Circle
2658 3301 Circle
%2669 3316 Circle
%2681 3324 Circle
2692 3326 Circle
%2704 3324 Circle
%2715 3322 Circle
2726 3322 Circle
%2738 3326 Circle
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2761 3343 Circle
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2795 3352 Circle
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2830 3351 Circle
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2864 3368 Circle
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2898 3354 Circle
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2933 3345 Circle
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2967 3341 Circle
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3002 3334 Circle
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3036 3320 Circle
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3071 3305 Circle
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3105 3315 Circle
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3139 3337 Circle
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3174 3345 Circle
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%3197 3346 Circle
3208 3346 Circle
%3220 3346 Circle
%3231 3346 Circle
3243 3346 Circle
%3254 3345 Circle
%3266 3345 Circle
3277 3345 Circle
%3288 3345 Circle
%3300 3345 Circle
3311 3345 Circle
%3323 3345 Circle
%3334 3345 Circle
3346 3344 Circle
%3357 3344 Circle
%3369 3344 Circle
3380 3344 Circle
%3392 3344 Circle
%3403 3344 Circle
3415 3344 Circle
%3426 3343 Circle
%3438 3343 Circle
3449 3343 Circle
%3461 3343 Circle
%3472 3343 Circle
3483 3343 Circle
%3495 3343 Circle
%3506 3342 Circle
3518 3342 Circle
%3529 3342 Circle
%3541 3342 Circle
3552 3342 Circle
%3564 3342 Circle
%3575 3342 Circle
3587 3341 Circle
%3598 3341 Circle
%3610 3341 Circle
3621 3341 Circle
%3633 3341 Circle
%3644 3341 Circle
3655 3341 Circle
%3667 3340 Circle
%3678 3340 Circle
3690 3340 Circle
%3701 3340 Circle
%3713 3340 Circle
3724 3340 Circle
%3736 3340 Circle
%3747 3339 Circle
3759 3339 Circle
%3770 3339 Circle
%3782 3339 Circle
3793 3339 Circle
%3805 3339 Circle
%3816 3339 Circle
3828 3338 Circle
%3839 3338 Circle
%3850 3338 Circle
3862 3338 Circle
%3873 3338 Circle
%3885 3338 Circle
3896 3338 Circle
%3908 3337 Circle
%3919 3337 Circle
3931 3337 Circle
%3942 3337 Circle
%3954 3337 Circle
3965 3337 Circle
%3977 3337 Circle
%3988 3336 Circle
4000 3336 Circle
%4011 3336 Circle
%4023 3336 Circle
4034 3336 Circle
%4045 3336 Circle
%4057 3336 Circle
4068 3335 Circle
%4080 3335 Circle
%4091 3335 Circle
4103 3335 Circle
%4114 3335 Circle
%4126 3335 Circle
4137 3335 Circle
%4149 3334 Circle
%4160 3334 Circle
4172 3334 Circle
%4183 3334 Circle
%4195 3334 Circle
4206 3334 Circle
%4218 3334 Circle
%4229 3333 Circle
4240 3333 Circle
%4252 3333 Circle
%4263 3333 Circle
4275 3333 Circle
%4286 3333 Circle
%4298 3333 Circle
4309 3332 Circle
%4321 3332 Circle
%4332 3332 Circle
4344 3332 Circle
%4355 3332 Circle
%4367 3332 Circle
4378 3332 Circle
%4390 3331 Circle
%4401 3331 Circle
4412 3331 Circle
%4424 3331 Circle
%4435 3331 Circle
4447 3331 Circle
%4458 3331 Circle
%4470 3330 Circle
4481 3330 Circle
%4493 3330 Circle
%4504 3330 Circle
4516 3330 Circle
%4527 3330 Circle
%4539 3329 Circle
4550 3329 Circle
%4562 3329 Circle
%4573 3329 Circle
4585 3329 Circle
%4596 3329 Circle
%4607 3328 Circle
4619 3328 Circle
%4630 3328 Circle
%4642 3328 Circle
4653 3328 Circle
%4665 3327 Circle
%4676 3327 Circle
0.650 UP
0.650 UL
LT3
2520 3554 BoxF
%2547 3929 BoxF
2574 4088 BoxF
%2601 4113 BoxF
2628 4093 BoxF
%2655 4066 BoxF
2682 4016 BoxF
%2709 3949 BoxF
2736 3907 BoxF
%2763 3880 BoxF
2790 3853 BoxF
%2817 3826 BoxF
2844 3804 BoxF
%2871 3791 BoxF
2898 3789 BoxF
%2925 3795 BoxF
2952 3801 BoxF
%2979 3805 BoxF
3006 3809 BoxF
%3033 3812 BoxF
3060 3817 BoxF
%3087 3824 BoxF
3114 3834 BoxF
%3141 3849 BoxF
3168 3865 BoxF
%3195 3876 BoxF
3222 3880 BoxF
%3249 3882 BoxF
3276 3883 BoxF
%3303 3884 BoxF
3330 3885 BoxF
%3357 3885 BoxF
3384 3886 BoxF
%3411 3887 BoxF
3438 3888 BoxF
%3465 3888 BoxF
3492 3889 BoxF
%3519 3890 BoxF
3546 3890 BoxF
%3573 3891 BoxF
3600 3892 BoxF
%3626 3892 BoxF
3653 3893 BoxF
%3680 3894 BoxF
3707 3895 BoxF
%3734 3896 BoxF
3761 3898 BoxF
%3788 3899 BoxF
3815 3901 BoxF
%3842 3903 BoxF
3869 3906 BoxF
%3896 3911 BoxF
3923 3918 BoxF
%3950 3931 BoxF
3977 3949 BoxF
%4004 3965 BoxF
4031 3970 BoxF
%4058 3971 BoxF
4085 3972 BoxF
%4112 3972 BoxF
4139 3972 BoxF
%4166 3972 BoxF
4193 3973 BoxF
%4220 3973 BoxF
4247 3973 BoxF
%4274 3973 BoxF
4301 3973 BoxF
%4328 3973 BoxF
4355 3973 BoxF
%4382 3973 BoxF
4409 3973 BoxF
%4436 3974 BoxF
4463 3974 BoxF
%4490 3974 BoxF
4517 3974 BoxF
%4544 3974 BoxF
4571 3974 BoxF
%4598 3974 BoxF
4625 3974 BoxF
%4652 3974 BoxF
4679 3974 BoxF
0.650 UP
0.650 UL
LT3
2520 3554 Box
%2531 3845 Box
%2543 3986 Box
2554 4070 Box
%2566 4133 Box
%2577 4157 Box
2589 4159 Box
%2600 4155 Box
%2612 4150 Box
2623 4143 Box
%2635 4133 Box
%2646 4125 Box
2658 4120 Box
%2669 4118 Box
%2681 4119 Box
2692 4122 Box
%2704 4124 Box
%2715 4126 Box
2726 4129 Box
%2738 4137 Box
%2749 4151 Box
2761 4170 Box
%2772 4191 Box
%2784 4209 Box
2795 4224 Box
%2807 4234 Box
%2818 4239 Box
2830 4240 Box
%2841 4238 Box
%2853 4236 Box
2864 4233 Box
%2876 4231 Box
%2887 4228 Box
2898 4225 Box
%2910 4222 Box
%2921 4221 Box
2933 4220 Box
%2944 4219 Box
%2956 4219 Box
2967 4219 Box
%2979 4220 Box
%2990 4220 Box
3002 4220 Box
%3013 4220 Box
%3025 4219 Box
3036 4219 Box
%3048 4218 Box
%3059 4216 Box
3071 4214 Box
%3082 4210 Box
%3093 4206 Box
3105 4200 Box
%3116 4193 Box
%3128 4188 Box
3139 4186 Box
%3151 4186 Box
%3162 4189 Box
3174 4194 Box
%3185 4200 Box
%3197 4207 Box
3208 4215 Box
%3220 4222 Box
%3231 4227 Box
3243 4231 Box
%3254 4233 Box
%3266 4235 Box
3277 4236 Box
%3288 4236 Box
%3300 4237 Box
3311 4237 Box
%3323 4238 Box
%3334 4238 Box
3346 4238 Box
%3357 4238 Box
%3369 4239 Box
3380 4239 Box
%3392 4239 Box
%3403 4239 Box
3415 4240 Box
%3426 4240 Box
%3438 4240 Box
3449 4240 Box
%3461 4240 Box
%3472 4240 Box
3483 4240 Box
%3495 4241 Box
%3506 4241 Box
3518 4241 Box
%3529 4241 Box
%3541 4241 Box
3552 4241 Box
%3564 4241 Box
%3575 4241 Box
3587 4241 Box
%3598 4241 Box
%3610 4242 Box
3621 4242 Box
%3633 4242 Box
%3644 4242 Box
3655 4242 Box
%3667 4242 Box
%3678 4242 Box
3690 4242 Box
%3701 4242 Box
%3713 4242 Box
3724 4242 Box
%3736 4242 Box
%3747 4242 Box
3759 4242 Box
%3770 4242 Box
%3782 4242 Box
3793 4242 Box
%3805 4242 Box
%3816 4242 Box
3828 4242 Box
%3839 4242 Box
%3850 4242 Box
3862 4242 Box
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%3885 4242 Box
3896 4242 Box
%3908 4242 Box
%3919 4242 Box
3931 4242 Box
%3942 4242 Box
%3954 4242 Box
3965 4242 Box
%3977 4242 Box
%3988 4242 Box
4000 4242 Box
%4011 4242 Box
%4023 4241 Box
4034 4241 Box
%4045 4241 Box
%4057 4241 Box
4068 4241 Box
%4080 4241 Box
%4091 4241 Box
4103 4241 Box
%4114 4241 Box
%4126 4241 Box
4137 4241 Box
%4149 4241 Box
%4160 4241 Box
4172 4241 Box
%4183 4241 Box
%4195 4241 Box
4206 4241 Box
%4218 4241 Box
%4229 4241 Box
4240 4241 Box
%4252 4241 Box
%4263 4241 Box
4275 4241 Box
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%4298 4241 Box
4309 4241 Box
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4344 4241 Box
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4412 4240 Box
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4447 4240 Box
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4481 4240 Box
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4516 4240 Box
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4550 4240 Box
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4585 4240 Box
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%4607 4240 Box
4619 4240 Box
%4630 4240 Box
%4642 4240 Box
4653 4240 Box
%4665 4240 Box
%4676 4240 Box
0.500 UL
LTb
2520 4787 N
0 -2267 V
2159 0 V
0 2267 V
-2159 0 V
Z stroke
0.500 UP
0.500 UL
LTb
0.500 UL
LTb
4680 2520 M
63 0 V
2096 0 R
-63 0 V
4680 2973 M
63 0 V
2096 0 R
-63 0 V
4680 3427 M
63 0 V
2096 0 R
-63 0 V
4680 3880 M
63 0 V
2096 0 R
-63 0 V
4680 4334 M
63 0 V
2096 0 R
-63 0 V
4680 4787 M
63 0 V
2096 0 R
-63 0 V
4680 2520 M
0 63 V
0 2204 R
0 -63 V
4950 2520 M
0 63 V
0 2204 R
0 -63 V
5220 2520 M
0 63 V
0 2204 R
0 -63 V
5490 2520 M
0 63 V
0 2204 R
0 -63 V
5760 2520 M
0 63 V
0 2204 R
0 -63 V
6029 2520 M
0 63 V
0 2204 R
0 -63 V
6299 2520 M
0 63 V
0 2204 R
0 -63 V
6569 2520 M
0 63 V
0 2204 R
0 -63 V
6839 2520 M
0 63 V
0 2204 R
0 -63 V
stroke
4680 4787 N
0 -2267 V
2159 0 V
0 2267 V
-2159 0 V
Z stroke
LCb setrgbcolor
LTb
LCb setrgbcolor
LTb
0.650 UP
0.650 UL
LTb
0.650 UP
0.650 UL
LT0
4680 3349 TriUF
%4707 3664 TriUF
4734 3734 TriUF
%4761 3814 TriUF
4788 3866 TriUF
%4815 3856 TriUF
4842 3818 TriUF
%4869 3811 TriUF
4896 3819 TriUF
%4923 3822 TriUF
4950 3828 TriUF
%4977 3846 TriUF
5004 3869 TriUF
%5031 3890 TriUF
5058 3902 TriUF
%5085 3904 TriUF
5112 3898 TriUF
%5139 3884 TriUF
5166 3872 TriUF
%5193 3868 TriUF
5220 3867 TriUF
%5247 3867 TriUF
5274 3868 TriUF
%5301 3868 TriUF
5328 3869 TriUF
%5355 3870 TriUF
5382 3870 TriUF
%5409 3870 TriUF
5436 3871 TriUF
%5463 3871 TriUF
5490 3872 TriUF
%5517 3872 TriUF
5544 3872 TriUF
%5571 3873 TriUF
5598 3873 TriUF
%5625 3873 TriUF
5652 3873 TriUF
%5679 3873 TriUF
5706 3874 TriUF
%5733 3874 TriUF
5760 3874 TriUF
%5786 3874 TriUF
5813 3874 TriUF
%5840 3874 TriUF
5867 3875 TriUF
%5894 3875 TriUF
5921 3875 TriUF
%5948 3875 TriUF
5975 3875 TriUF
%6002 3875 TriUF
6029 3875 TriUF
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6083 3875 TriUF
%6110 3875 TriUF
6137 3875 TriUF
%6164 3876 TriUF
6191 3876 TriUF
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6245 3876 TriUF
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6299 3876 TriUF
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6353 3876 TriUF
%6380 3876 TriUF
6407 3876 TriUF
%6434 3876 TriUF
6461 3876 TriUF
%6488 3876 TriUF
6515 3876 TriUF
%6542 3876 TriUF
6569 3876 TriUF
%6596 3877 TriUF
6623 3877 TriUF
%6650 3877 TriUF
6677 3877 TriUF
%6704 3877 TriUF
6731 3877 TriUF
%6758 3877 TriUF
6785 3877 TriUF
%6812 3877 TriUF
6839 3877 TriUF
0.650 UP
0.650 UL
LT0
4680 3349 TriU
%4701 3469 TriU
4723 3725 TriU
%4744 3876 TriU
4766 3985 TriU
%4787 4021 TriU
4809 4030 TriU
%4830 4041 TriU
4852 4044 TriU
%4873 4034 TriU
4895 4026 TriU
%4916 4029 TriU
4938 4039 TriU
%4959 4052 TriU
4981 4060 TriU
%5002 4066 TriU
5024 4072 TriU
%5045 4077 TriU
5067 4081 TriU
%5088 4085 TriU
5110 4088 TriU
%5131 4090 TriU
5153 4093 TriU
%5174 4096 TriU
5196 4098 TriU
5217 4100 TriU
%5239 4102 TriU
5260 4104 TriU
%5282 4106 TriU
5303 4108 TriU
%5325 4110 TriU
5346 4111 TriU
%5368 4113 TriU
5389 4114 TriU
%5411 4115 TriU
5432 4117 TriU
%5454 4118 TriU
5475 4119 TriU
%5497 4120 TriU
5518 4121 TriU
%5540 4122 TriU
5561 4123 TriU
%5583 4124 TriU
5604 4124 TriU
%5626 4125 TriU
5647 4126 TriU
%5669 4126 TriU
5690 4127 TriU
%5712 4128 TriU
5733 4128 TriU
%5755 4129 TriU
5776 4129 TriU
%5798 4130 TriU
5819 4130 TriU
%5841 4131 TriU
5862 4131 TriU
%5884 4131 TriU
5905 4132 TriU
%5927 4132 TriU
5948 4132 TriU
%5970 4133 TriU
5991 4133 TriU
%6013 4133 TriU
6034 4134 TriU
%6056 4134 TriU
6077 4134 TriU
%6099 4135 TriU
6120 4135 TriU
%6142 4135 TriU
6163 4135 TriU
%6185 4135 TriU
6206 4136 TriU
%6228 4136 TriU
6249 4136 TriU
%6271 4136 TriU
6292 4136 TriU
%6314 4137 TriU
6335 4137 TriU
%6357 4137 TriU
6378 4137 TriU
%6400 4137 TriU
6421 4138 TriU
%6443 4138 TriU
6464 4138 TriU
%6486 4138 TriU
6507 4138 TriU
%6529 4138 TriU
6550 4138 TriU
%6572 4139 TriU
6593 4139 TriU
%6615 4139 TriU
6636 4139 TriU
%6658 4139 TriU
6679 4139 TriU
%6701 4139 TriU
6722 4140 TriU
%6744 4140 TriU
6765 4140 TriU
%6787 4140 TriU
6808 4140 TriU
%6830 4140 TriU
0.650 UP
0.650 UL
LTb
4680 2643 DiaF
%4707 3151 DiaF
4734 3649 DiaF
%4761 3837 DiaF
4788 3881 DiaF
%4815 3900 DiaF
4842 3915 DiaF
%4869 3939 DiaF
4896 3967 DiaF
%4923 3995 DiaF
4950 4025 DiaF
%4977 4058 DiaF
5004 4088 DiaF
%5031 4107 DiaF
5058 4114 DiaF
%5085 4116 DiaF
5112 4119 DiaF
%5139 4122 DiaF
5166 4125 DiaF
%5193 4128 DiaF
5220 4130 DiaF
%5247 4132 DiaF
5274 4134 DiaF
%5301 4135 DiaF
5328 4136 DiaF
%5355 4137 DiaF
5382 4138 DiaF
%5409 4138 DiaF
5436 4139 DiaF
%5463 4139 DiaF
5490 4139 DiaF
%5517 4139 DiaF
5544 4139 DiaF
%5571 4140 DiaF
5598 4140 DiaF
%5625 4140 DiaF
5652 4140 DiaF
%5679 4140 DiaF
5706 4140 DiaF
%5733 4140 DiaF
5760 4139 DiaF
%5786 4139 DiaF
5813 4139 DiaF
%5840 4139 DiaF
5867 4139 DiaF
%5894 4139 DiaF
5921 4139 DiaF
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5975 4139 DiaF
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6029 4139 DiaF
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6083 4139 DiaF
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6245 4138 DiaF
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6299 4138 DiaF
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6353 4138 DiaF
%6380 4138 DiaF
6407 4138 DiaF
%6434 4138 DiaF
6461 4138 DiaF
%6488 4138 DiaF
6515 4138 DiaF
%6542 4138 DiaF
6569 4138 DiaF
%6596 4138 DiaF
6623 4138 DiaF
%6650 4138 DiaF
6677 4138 DiaF
%6704 4139 DiaF
6731 4139 DiaF
%6758 4139 DiaF
6785 4139 DiaF
%6812 4139 DiaF
6839 4139 DiaF
0.650 UP
0.650 UL
LTb
4680 2643 Dia
%4701 3056 Dia
4723 3476 Dia
%4744 3661 Dia
4766 3673 Dia
%4787 3638 Dia
4809 3602 Dia
%4830 3563 Dia
4852 3528 Dia
%4873 3501 Dia
4895 3490 Dia
%4916 3498 Dia
4938 3521 Dia
%4959 3551 Dia
4981 3575 Dia
%5002 3590 Dia
5024 3600 Dia
%5045 3605 Dia
5067 3608 Dia
%5088 3609 Dia
5110 3609 Dia
%5131 3610 Dia
5153 3610 Dia
%5174 3610 Dia
5196 3610 Dia
%5217 3610 Dia
5239 3611 Dia
%5260 3611 Dia
5282 3611 Dia
%5303 3611 Dia
5325 3611 Dia
%5346 3611 Dia
5368 3610 Dia
%5389 3610 Dia
5411 3609 Dia
%5432 3609 Dia
5454 3608 Dia
%5475 3608 Dia
5497 3607 Dia
%5518 3607 Dia
5540 3606 Dia
%5561 3606 Dia
5583 3605 Dia
%5604 3605 Dia
5626 3604 Dia
%5647 3604 Dia
5669 3603 Dia
%5690 3603 Dia
5712 3602 Dia
%5733 3602 Dia
5755 3602 Dia
%5776 3601 Dia
5798 3601 Dia
%5819 3600 Dia
5841 3600 Dia
%5862 3600 Dia
5884 3600 Dia
%5905 3599 Dia
5927 3599 Dia
%5948 3599 Dia
5970 3599 Dia
%5991 3598 Dia
6013 3598 Dia
%6034 3598 Dia
6056 3598 Dia
%6077 3598 Dia
6099 3597 Dia
%6120 3597 Dia
6142 3597 Dia
%6163 3597 Dia
6185 3597 Dia
%6206 3597 Dia
6228 3597 Dia
%6249 3597 Dia
6271 3597 Dia
%6292 3597 Dia
6314 3596 Dia
%6335 3596 Dia
6357 3596 Dia
%6378 3596 Dia
6400 3596 Dia
%6421 3596 Dia
6443 3596 Dia
%6464 3596 Dia
6486 3596 Dia
%6507 3596 Dia
6529 3596 Dia
%6550 3596 Dia
6572 3596 Dia
%6593 3596 Dia
6615 3596 Dia
%6636 3596 Dia
6658 3596 Dia
%6679 3596 Dia
6701 3596 Dia
%6722 3596 Dia
6744 3596 Dia
%6765 3596 Dia
6787 3597 Dia
%6808 3597 Dia
6830 3597 Dia
0.650 UP
0.650 UL
LT2
4680 3460 CircleF
%4707 3128 CircleF
4734 3135 CircleF
%4761 3100 CircleF
4788 3083 CircleF
%4815 3078 CircleF
4842 3097 CircleF
%4869 3107 CircleF
4896 3092 CircleF
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4950 3014 CircleF
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5004 2969 CircleF
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5058 2971 CircleF
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5112 2962 CircleF
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5166 2933 CircleF
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5220 2920 CircleF
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5274 2916 CircleF
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5328 2914 CircleF
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5382 2912 CircleF
%5409 2911 CircleF
5436 2910 CircleF
%5463 2909 CircleF
5490 2909 CircleF
%5517 2908 CircleF
5544 2908 CircleF
%5571 2907 CircleF
5598 2907 CircleF
%5625 2906 CircleF
5652 2906 CircleF
%5679 2906 CircleF
5706 2905 CircleF
%5733 2905 CircleF
5760 2905 CircleF
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5813 2904 CircleF
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5867 2904 CircleF
%5894 2904 CircleF
5921 2903 CircleF
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5975 2903 CircleF
%6002 2903 CircleF
6029 2902 CircleF
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6083 2902 CircleF
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6137 2902 CircleF
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6245 2901 CircleF
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6299 2900 CircleF
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6353 2900 CircleF
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6407 2899 CircleF
%6434 2899 CircleF
6461 2899 CircleF
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6515 2899 CircleF
%6542 2898 CircleF
6569 2898 CircleF
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6623 2898 CircleF
%6650 2898 CircleF
6677 2898 CircleF
%6704 2897 CircleF
6731 2897 CircleF
%6758 2897 CircleF
6785 2897 CircleF
%6812 2897 CircleF
6839 2896 CircleF
0.650 UP
0.650 UL
LT2
4680 3460 Circle
%4701 3084 Circle
4723 2979 Circle
%4744 2907 Circle
4766 2900 Circle
%4787 2911 Circle
4809 2921 Circle
%4830 2947 Circle
4852 2986 Circle
%4873 3025 Circle
4895 3048 Circle
%4916 3053 Circle
4938 3049 Circle
%4959 3045 Circle
4981 3042 Circle
%5002 3040 Circle
5024 3041 Circle
%5045 3045 Circle
5067 3052 Circle
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plot_wilson_average_action_b55.tex
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%
% PostScript Level 1 Pattern Fill routine for rectangles
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/languagelevel where
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% PostScript level 2 pattern fill definitions
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%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
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%
% Substitute for Level 2 pattern fill codes with
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%
/Level1PatternFill {
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/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
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%
% Now test for support of Level 2 code
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Level1 {Level1PatternFill} {Level2PatternFill} ifelse
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/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
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plot_wilson_average_action_d45.tex
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topology.tex
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\newcommand{\C}{\mathcal{C}} % Fractur C
\def\gm{\gamma}
\def\nn{\nonumber\\}

\def\eq#1{Eq.~(\ref{#1})}
\def\fig#1{Fig. \ref{#1}}
\def\tbl#1{Table \ref{#1}}
\def\sec#1{Section \ref{#1}}

\def\cyp{a}
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\begin{document}
\begin{titlepage}
  {\vspace{-0.5cm} \normalsize
  \hfill \parbox{60mm}{
DESY 15-168}}\\[10mm]
  \begin{center}
    \begin{LARGE}
      \textbf{Topological charge using cooling and the gradient flow } \\
    \end{LARGE}
  \end{center}

\vspace{.5cm}

\vspace{-0.8cm}
  \baselineskip 20pt plus 2pt minus 2pt
  \begin{center}
    \textbf{
      C.~Alexandrou$^{(\cyp, \cyi)}$,
      A.~Athenodorou$^{(\cyp, \cyi)}$,
      K.~Jansen$^{(\nic)}$
}
  \end{center}

  \begin{center}
    \begin{footnotesize}
      \noindent 	
 	$^{(\cyp)}$ Department of Physics, University of Cyprus, P.O. Box 20537,
 	1678 Nicosia, Cyprus\\	
 	$^{(\cyi)}$ Computation-based Science and Technology Research Center, The Cyprus Institute, 20 Kavafi Str., Nicosia 2121, Cyprus \\
      $^{(\nic)}$ NIC, DESY, Platanenallee 6, D-15738 Zeuthen, Germany\\
     \vspace{0.2cm}
    \end{footnotesize}
  \end{center}



\begin{center}
\vspace{0.8in}
  \hspace{-0.8in}\includegraphics[draft=false,width=.06\linewidth]{etmc_logo_full.ps}
\end{center}

\begin{abstract}
The equivalence of cooling to the gradient flow when the cooling step $n_c$ and the continuous flow step of gradient flow $\tau$ are matched
is generalized to gauge actions that include rectangular terms.  By expanding the link variables up to subleading terms  in perturbation theory, 
we relate $n_c$ and $\tau$ and  show that the results for the topological charge become equivalent when rescaling $\tau \simeq n_c/({3-15 c_1})$ where $c_1$ is the Symanzik coefficient multiplying the rectangular term. We, subsequently, apply  cooling  and the gradient flow using  the Wilson, the Symanzik tree-level improved and the Iwasaki gauge actions to configurations  produced with $N_f=2+1+1$ twisted mass fermions.  We compute the topological charge, its distribution and the correlators between cooling and gradient flow at three values of the lattice spacing demonstrating that the perturbative rescaling $\tau \simeq n_c/({3-15 c_1})$ leads to  equivalent results. 
\begin{center}
\today
\end{center}
 \end{abstract}
\end{titlepage}


\newpage
\clearpage 

\tableofcontents

\newpage
\section{Introduction}
\label{sec:Introduction}
Besides the interest by itself, the calculation of the topological properties of gauge field configurations is needed for several investigations in lattice QCD. These may involve a direct use of the topological charge in observables or its use as a measure of auto-correlations. The former, for example, includes the computation
of the $CP$-odd form factor $F_3$ and subsequently the neutron electric dipole moment (nEDM)~\cite{Shintani:2005xg}. This would shed light on the question whether the value of the nEDM is zero or not and can therefore give hints of possible beyond the standard model physics. There is a number of smoothing techniques that could be applied to extract the topological charge ${\cal Q}$, each one accompanied by its advantages and disadvantages~\cite{Muller-Preussker:2015daa,Cichy:2014qta}.
The gluonic definition of the topological charge density in Euclidean time-space is
given by
\bea
q(x) = \frac{1}{32 \pi^2} \epsilon_{\mu \nu \rho \sigma} {\rm Tr} \left\{ G_{\mu \nu}  G_{\rho \sigma} \right\}\, ,
\label{eq:topological_charge_density_def}
\eea
with $G_{\mu \nu}$ the gluonic field strength tensor and $\epsilon_{\mu \nu \rho \sigma}$ the totally antisymmetric tensor. The introduction of the gradient flow~\cite{Luscher:2010iy,Luscher:2011bx,Luscher:2013vga} with its purturbatively proven renormalizability properties provides 
an attractive  field-theoretic smoothing technique as compared to other techniques such  as cooling and smearing, for which one can
argue about the  arbitrariness of their smoothing scale. The differential character of gradient-flow, however, makes it slower in comparison to other field-theoretic smoothers, such as cooling~\cite{Bonati:2014tqa}.

 
Recently it was demonstrated in Ref.~\cite{Bonati:2014tqa} that using the  Wilson
action,  gradient flow and cooling are equivalent if   the gradient flow time $\tau$ and the number of cooling steps $n_c$ are appropriately matched.
  By expanding the link matrices perturbatively in the lattice spacing $a$ 
it was shown  that at subleading order the two methods exhibit equivalence if one sets $\tau=n_c/3$. 
This analytic result was verified  by a numerical investigation of  a number of observables such as the average action and the topological susceptibility  confirming that the two procedures indeed produce equivalent results. This suggests that in cases where high statistics
are needed  such as, for example,  for the evaluation of higher moments of the topological charge~\cite{Vicari:2008jw}, instead of  using the more expensive gradient flow, one can opt to employing cooling to evaluate quantities of interest. Of course in some applications, such as the scale setting through $t_0$, where  only a few hundreds of configurations are needed the computational cost is negligible and  whether  cooling or the gradient flow is used is not an important issue. 

Studies that utilize dynamical quark simulations such as those pursued by the European Twisted Mass Collaboration (ETMC)~\cite{Baron:2010bv,Boucaud:2008xu,Abdel-Rehim:2015pwa} make use of configurations produced with Symanzik improved gauge  actions, such as the Iwasaki and the Symanzik tree-level improved actions~\cite{Weisz:1982zw}. %The topological properties are different for the various actions; for instance the Iwasaki action leads to stable instantons, while the Symanzik tree-level improved and Wilson actions lead to unstable instantons. 
It is interesting to extend the study of Ref.~\cite{Bonati:2014tqa} to explore the use of  Symanzik improved actions in the smoothing procedure. This choice will alter the relation between the
scales  $\tau \simeq n_c/3$ since this depends on the choice of the smoothing action.
 We deliver the relation between gradient flow and cooling, by expanding the basic smoothing steps at subleading order in $a$ for Symanzik improved actions.
 Subsequently we test the validity of the formula numerically using ETMC configurations produced with $N_f=2+1+1$ twisted mass fermions and the Iwasaki gauge action. In addition to the Wilson action, we employ  as smoothing actions the Symanzik tree-level improved and the Iwasaki actions enabling us to generalize the correspondence. We test the equivalence on the topological charge itself as well as on the average action and the susceptibility. We also examine
the degree of correlation among the results obtained with cooling and the gradient flow through the correlation coefficient. All observables suggest that the two smoothers become equivalent after a few transient cooling steps. 

This article is organized as follows: In \sec{sec:Simulation_Details}, we provide the relevant details  regarding the production of the $N_f=2+1+1$ configurations, in \sec{sec:The_Topological_Charge}, we explain the different definitions of the topological charge density operators used for the calculation of the topological charge and  in \sec{Cooling_Gradient_Flow_equivalence}, we provide a short description of the cooling and gradient-flow techniques for smoothing a gauge configuration in order to set the ground for their analytical comparison. We then compare the two smoothers by expanding the link variables perturbatively in $a$. In~\sec{sec:results} we provide numerical evidence of this equivalence by evaluating  a number of relevant observables. Finally, in \sec{sec:conclusions}, we summarize and  conclude.

\section{Configurations}
\label{sec:Simulation_Details}
The gauge  configurations are produced by the ETMC~\cite{Baron:2010bv} using the Iwasaki improved action for the gluonic part
\bea
    S_G =  \frac{\beta}{N}\sum_x\Biggl(  c_0\sum_{\substack{
      \mu,\nu=1\\1\leq\mu<\nu}}^4\left \{1-{\rm Re } {\rm Tr} (U^{1\times1}_{x,\mu,\nu})\right \}\Bigr. 
     \Bigl.+
    c_1\sum_{\substack{\mu,\nu=1\\\mu\neq\nu}}^4\left \{1
    -{\rm Re } {\rm Tr}(U^{1\times2}_{x,\mu,\nu})\right \}\Biggr)\,,
  \label{eq:Sg_Iwasaki}  
\eea
with $\beta=2 N/g^2_0$, $N=3$ and $U^{1\times1}_{x,\mu,\nu}$ the plaquette and $U^{1\times2}_{x,\mu,\nu}$ rectangular $(1\times2)$ Wilson loops. The Symanzik coefficients are set $c_0=3.648$ and $c_{1}=-0.331$ and obey the relation $c_0+8 c_1=1$.  The twisted mass fermion action at maximal twist is employed. The formulation provides automatic ${\cal O}(a)$ improvement~\cite{Frezzotti:2000nk,Frezzotti:2003ni}, infrared regularization of small eigenvalues and fast simulations with dynamical fermions. For the doublet of light quarks the action is
\be
S_F^{(l)}\left[\chi^{(l)},\overline{\chi}^{(l)},U \right]= a^4\sum_x  \overline{\chi}^{(l)}(x)\bigl(D_W[U] + m_{0,l} + i \mu_l \gamma_5\tau^3  \bigr ) \chi^{(l)}(x)\,,
\label{eq:Action_TML}
\ee
where $\tau^3$ is the third Pauli matrix acting in the flavour space, $m_{0,l}$ the bare untwisted light quark mass and $\mu_l$ the bare twisted light quark mass.  The massless Wilson-Dirac operator is given by 
\be \label{eq:wilson_term}
D_W[U] = \frac{1}{2} \gamma_{\mu}(\nabla_{\mu} + \nabla_{\mu}^{*})
-\frac{ar}{2} \nabla_{\mu}
\nabla^*_{\mu}\,,
\ee
with the forward and backward covariant derivatives given by
\be
\nabla_\mu \psi(x)= \frac{1}{a}\biggl[U_\mu(x)\psi(x+a\hat{\mu})-\psi(x)\biggr]
\hspace*{0.5cm} {\rm and}\hspace*{0.5cm} 
\nabla^*_{\mu}\psi(x)=-\frac{1}{a}\biggl[U^\dagger_{\mu}(x-a\hat{\mu})\psi(x-a\hat{\mu})-\psi(x)\biggr]\,.
\ee
The fields $ \chi^{(l)}(x)$ are in the ``twisted basis'' and are related to the fields in the physical basis  $\psi^{(l)}$ through the transformations
\be
\psi^{(l)}(x)=\frac{1}{\sqrt{2}}\left(\idnty+ i \tau^3\gamma_5\right) \chi^{(l)}(x) \hspace*{0.5cm} {\rm and}\hspace*{0.5cm} 
\overline{\psi}^{(l)}(x)=\overline{\chi}^{(l)}(x) \frac{1}{\sqrt{2}}\left(\idnty + i \tau^3\gamma_5\right)\,.
\ee
Apart from the doublet of light quarks, we also include a twisted heavy mass-split doublet $\chi^{(h)} = \left(\chi_c,\chi_s \right)$ for the strange and charm quarks. The associated action is expressed as
\be
S_F^{(h)}\left[\chi^{(h)},\overline{\chi}^{(h)},U \right]= a^4\sum_x  \overline{\chi}^{(h)}(x)\bigl(D_W[U] + m_{0,h} + i\mu_\sigma \gamma_5\tau^1 + \tau^3\mu_\delta  \bigr ) \chi^{(h)}(x)\,,
\label{eq:Action_heavy}
\ee
with $m_{0,h}$ the bare untwisted quark mass for the heavy doublet, $\mu_\sigma$ the bare twisted mass along the $\tau^1$ direction and $\mu_\delta$ the mass splitting in the $\tau^3$ direction. The heavy quark fields in the twisted basis are related to those in the physical basis through
\be
\psi^{(h)}(x)=\frac{1}{\sqrt{2}}\left(\idnty+ i \tau^1\gamma_5\right) \chi^{(h)}(x),\qquad
\overline{\psi}^{(h)}(x)=\overline{\chi}^{(h)}(x) \frac{1}{\sqrt{2}}\left(\idnty + i \tau^1\gamma_5\right)\,.
\ee 
Unless stated otherwise, the quark fields will be understood as ``physical fields''. The fermionic action in \eq{eq:Action_TML} breaks parity and isospin at non-vanishing lattice spacing with the latter inducing a cut-off effect of ${\cal O}(a^2)$~\cite{Frezzotti:2003ni}. For more details on the twisted mass fermions see Ref.~\cite{Baron:2010bv}.

In order to test  the equivalence between the two smoothing procedures we only need  a single ensemble  and a large number of configurations with a fine enough lattice spacing and relatively small pion mass. However, in order to investigate the behavior of observables as a function of the lattice spacing we include   two additional ensembles, the pion mass of which is approximately the same as the one used for the more high statistics study. To this end, we selected the ensembles A60.24, B55.32 and D45.32sc in the notation of Ref.~\cite{Baron:2011sf} at three different lattice spacings so the continuum limit can be taken. The details of the ensembles can be found in~\tbl{Table:params}. 
\begin{table}[ht]
\begin{center}
\begin{tabular}{c|llll}
\hline\hline
\multicolumn{4}{c}{A60.24, $\beta=1.90$, $a=0.094(1)$~fm,   ${r_0/a}=5.231(38)$}\\\hline
$24^3\times 48$, $L=2.1$~fm  &$a\mu$ & 0.0060  \\
                               & No. of confs & 1160  \\
                               & $a\,m_\pi$& 0.17275(45)(23) \\
                               & $Lm_\pi $    & 4.15   \\
                               & $m_\pi$ & 0.362 GeV  \\\hline \hline
\multicolumn{4}{c}{B55.32, $\beta=1.95$, $a=0.082(1)$~fm,   ${r_0/a}=5.710(41)$}\\\hline
$32^3\times 64$, $L=2.6$~fm  &$a\mu$ & 0.0055  \\
                               & No. of confs & 4650  \\
                               & $a\,m_\pi$& 0.15518(21)(33)\\
                               & $Lm_\pi $    & 4.97   \\
                               & $m_\pi$ & 0.372 GeV  \\\hline \hline
\multicolumn{4}{c}{D45.32sc, $\beta=2.10$, $a=0.064(1)$~fm,   ${r_0/a}=7.538(58)$}\\\hline
$32^3\times 64$, $L=2.0$~fm  &$a\mu$ & 0.0045  \\
                               & No. of confs & 949  \\
                               & $a\,m_\pi$& 0.12087(40) \\
                               & $Lm_\pi $    & 3.89   \\
                               & $m_\pi$ & 0.368 GeV  \\\hline \hline
\end{tabular}
\caption{Input parameters ($\beta,L,a\mu$) of our lattice calculation for the ensembles A60.24, B55.32 and D45.32sc
  with the corresponding lattice spacing $a$, determined from the
  nucleon mass, and pion mass $a m_{\pi}$ in lattice units.}
\label{Table:params}
\end{center}
\end{table}

\section{Topological Charge}
\label{sec:The_Topological_Charge}
\subsection{Definition of the Topological Charge on the Lattice}
\label{Topologica_Charge}
The topological charge of a gauge field is formally defined as the four--dimensional Euclidean integral over space-time 
\bea
{\cal Q}=\int d^4 x \,q(x)\, ,
\label{eq:topological_charge_continuum}
\eea
where the topological charge density $q(x)$ is defined in Eq.~(\ref{eq:topological_charge_density_def}).

In practice, any valid lattice discretization of $q(x) \to q_L(x)$ leading to the right continuum expression of~\eq{eq:topological_charge_density_def} can be used for the evaluation of the lattice equivalence of Eq.~(\ref{eq:topological_charge_continuum}), given by
\bea
{\cal Q}=a^4 \sum_{x} q_L(x)\, .
\eea
 However, depending on the discretization of the operator $q_L(x)$  lattice artifacts affecting the total topological charge $\cal Q$ vary. Hence, we do not expect to obtain an exact integer\footnote{Of course one can obtain an exact integer when applying the Atiyah-Singer index theorem~\cite{Niedermayer:1998bi,Atiyah:1971rm} $Q=n_--n_+$ and employing the number of Dirac zero modes $n_{\pm}$ with positive (+) and negative (-) chiralities obtained with the Overlap-Dirac operator~\cite{Neuberger:1997fp}.} value for the topological charge. Nevertheless, we expect that the total topological charge, for some definitions for the topological charge density,  converge faster and are closer to an integer than that obtained by other definitions. To investigate the different definitions we use  a number of lattice discretizations. The simplest lattice discretization, which can be constructed is based on the simple plaquette, depicted  pictorially in Fig.~\ref{fig:paths}
\bea
G^{\rm plaq}_{\mu \nu}(x)={\rm Im} \left[ U_{\mu}(x) U_{\nu}(x+ a {\hat \mu}) U^{\dagger}_{\mu}(x + a {\hat \nu}) U^{\dagger}_{\nu}(x) \right]\,,
\eea
with
\bea
q^{\rm plaq}_{L}(x) = \frac{1}{32 \pi^2} \epsilon_{\mu \nu \rho \sigma} {\rm Tr} \left\{ G^{\rm plaq}_{\mu \nu}  G^{\rm plaq}_{\rho \sigma} \right\}\,.
\label{eq:plaquette_definition}
\eea
This is a computationally cheap definition which, however, leads to lattice artifacts of order ${\cal O}(a^2)$. Nevertheless, this is still an adequate definition having been used in several determinations of the topological susceptibility in the past~\cite{Hart:2001pj,Hart:2004}.  

Indubitably, the most common definition of the topological charge density is the clover definition given by
\bea
q^{\rm clov}_{L}(x) = \frac{1}{32 \pi^2} \epsilon_{\mu \nu \rho \sigma} {\rm Tr} \left\{ G^{\rm clov}_{\mu \nu}  G^{\rm clov}_{\rho \sigma} \right\}\,,
\label{eq:Clover_definition}
\eea
with $G^{\rm clov}_{\mu\nu}(x)$ the usual clover leaf (second picture in Fig.~\ref{fig:paths}) defined as
\bea
G^{\rm clov}_{\mu\nu}(x) &=& \frac{\rm Im}{4}\Bigl[
U_{\mu}(x)U_{\nu}(x+ a \hat\mu)U_{\mu}^{\dag}(x+a \hat\nu)U_{\nu}^{\dag}(x)\nn
&+&
U_{\nu}(x)U^{\dag}_{\mu}(x-a\hat\mu+a\hat\nu)U_{\nu}^{\dag}(x-a \hat\mu)U_{\mu}(x-a \hat\mu)\nn
&+& U^{\dag}_{\mu}(x-a \hat\mu)U^{\dag}_{\nu}(x-a \hat\mu-a \hat\nu)
    U_{\mu}(x-a \hat\mu-a \hat\nu)U_{\nu}(x-a \hat\nu)\nn
&+&
U^{\dag}_{\nu}(x-a \hat\nu)U_{\mu}(x-a \hat\nu)U_{\nu}(x+a \hat\mu-a \hat\nu)U^{\dag}_{\mu}(x)
\Bigr]\,.
\eea
 However, this definition still carries a leading correction term of ${\cal O}(a^2)$. Hence, an improved definition of the topological charge density, which removes tree-level discretization errors and converges as ${\cal O}(a^4)$ in the continuum limit is also considered. Such a definition, given in Refs.~\cite{Shintani:2005xg,deForcrand:1997sq,AliKhan:2001ym}, is
\bea
q^{\rm imp}_L (x) = c_0 q^{\rm clov}_{L}(x) + c_1 q^{\rm rect}_{L}(x)\,,
\label{eq:Improved_definition}
\eea
where $q^{\rm clov}_{L}(x)$ is the ordinary clover topological charge density in \eq{eq:Clover_definition} and $q^{\rm rect}_{L}(x)$ is the clover-like operators where instead of squares we make use of horizontally--and vertically--oriented rectangular Wilson loops of size $2 \times 1 $ and $1 \times 2$ respectively
\bea
q^{\rm rect}_{L}(x) = \frac{2}{32\pi^2}\epsilon_{\mu\nu \rho \sigma} {\rm Tr} \left\{ G^{\rm rect}_{\mu \nu}  G^{\rm rect}_{\rho \sigma} \right\}\,,
\eea
with
\bea
G^{\rm rect}_{\mu\nu}(x) &=& \frac{\rm Im}{8} \Big[
    U_{\mu}(x)U_{\nu}(x+a \hat\mu)U_{\nu}(x+a \hat\mu+a \hat\nu)U_{\mu}^{\dag}(x+2a\hat\nu)
    U_{\nu}^{\dag}(x+a\hat\nu)U_{\nu}^{\dag}(x)\nn
&+&
U_{\nu}(x)U_{\nu}(x+a\hat\nu)U^{\dag}_{\mu}(x-a\hat\mu+2a\hat\nu)U_{\nu}^{\dag}(x-a\hat\mu+a\hat\nu)
    U_{\nu}^{\dag}(x-a\hat\mu)U_{\mu}(x-a\hat\mu)\nn
&+&
U^{\dag}_{\mu}(x-a\hat\mu)U^{\dag}_{\nu}(x-a\hat\mu-a\hat\nu)U^{\dag}_{\nu}(x-a\hat\mu-2a\hat\nu)
    U_{\mu}(x-a\hat\mu-2a\hat\nu)U_{\nu}(x-2a\hat\nu)U_{\nu}(x-a\hat\nu)\nn
&+&
U^{\dag}_{\nu}(x-a\hat\nu)U^{\dag}_{\nu}(x-2a\hat\nu)U_{\mu}(x-2a\hat\nu)
U_{\nu}(x+a\hat\mu-2a\hat\nu)U_{\nu}(x+a\hat\mu-a\hat\nu)U^{\dag}_{\mu}(x) \nn
&+& U_{\mu}(x)U_{\mu}(x+a\hat\mu)U_{\nu}(x+2a\hat\mu)U_{\mu}^{\dag}(x+a\hat\nu+a\hat\mu)
    U_{\mu}^{\dag}(x+a\hat\nu)U_{\nu}^{\dag}(x)\nn
&+&
U_{\nu}(x)U^{\dag}_{\mu}(x-a\hat\mu+a\hat\nu)U_{\mu}^{\dag}(x-2a\hat\mu+a\hat\nu)
    U_{\nu}^{\dag}(x-2a\hat\mu)U_{\mu}(x-2a\hat\mu)U_{\mu}(x-a\hat\mu)\nn
&+&
U^{\dag}_{\mu}(x-a\hat\mu)U^{\dag}_{\mu}(x-2a\hat\mu)U^{\dag}_{\nu}(x-2a\hat\mu-a\hat\nu)
U_{\mu}(x-2a\hat\mu-a\hat\nu)U_{\mu}(x-a\hat\mu-a\hat\nu)U_{\nu}(x-a\hat\nu)\nn
&+&
U^{\dag}_{\nu}(x-a\hat\nu)U_{\mu}(x-a\hat\nu)U_{\mu}(x-a\hat\nu+a\hat\mu)U_{\nu}(x+2a\hat\mu-a\hat\nu)
    U^{\dag}_{\mu}(x+a\hat\mu)U^{\dag}_{\mu}(x)\Big]\,.
\eea
In order to remove the discretization error at tree-level one should use the Symanzik tree-level coefficients $c_1=-1/12$ and $c_0=5/3$. A diagrammatic representation of the three definitions of $G^{r}_{\mu\nu}(x)$ ($r\equiv$plaq, clov, rect) used in our investigation is provided in Fig.~\ref{fig:paths}.
\begin{figure}[h!]
\centering
\includegraphics[scale=0.075]{qplaquette.eps}  \ \ \ \ \ \includegraphics[scale=0.075]{qclover.eps} \ \ \ \ \ \includegraphics[scale=0.075]{qrectangle1.eps} \ \ \ \ \ \includegraphics[scale=0.075]{qrectangle2.eps} \put(-40,89){$x$} \put(-190,46){$x$} \put(-340,46){$x$} \put(-446,4){$x$} \put(-432,-7){${\hat \mu}$} \put(-405,17){${\hat \nu}$} \put(-445,55){$G^{\rm plaq}_{\mu \nu}(x)$}   \put(-360,95){$G^{\rm clov}_{\mu \nu}(x)$} \put(-215,95){$G^{\rm rect \ 1}_{\mu \nu}(x)$ } \put(-65,180){$G^{\rm rect \ 2}_{\mu \nu}(x)$ }
\centering
\caption{\label{fig:paths} From left to right, we represent pictorially the plaquette operator used for the definition of the $G^{\rm plaq}_{\mu \nu}$, the ordinary clover $G^{\rm clov}_{\mu \nu}$ and the rectangle clovers $G^{\rm rect \ 1}_{\mu \nu}$, $G^{\rm rect \ 2}_{\mu \nu}$ such that $G^{\rm rect}_{\mu \nu}=G^{\rm rect \ 1}_{\mu \nu}+G^{\rm rect \ 2}_{\mu \nu}$.}
\end{figure}

 Ultraviolet fluctuations of the gauge fields entering in the
definition of e.g. the topological charge  lead to non-integer values. Thus,
 methods to suppress these ultraviolet fluctuations are employed.
Such techniques include cooling and the more recently introduced gradient flow.
We examine both these techniques using, beyond the Wilson, the Symanzik tree-level improved and Iwasaki actions.

\section{Equivalence of Cooling with Gradient-Flow}
\label{Cooling_Gradient_Flow_equivalence}
We smooth out the ultraviolet fluctuations using the action in \eq{eq:Sg_Iwasaki}. The Symanzik coefficients must satisfy $c_0 + 8 c_1 = 1$ and aside from this requirement, the value of $c_1$ can be chosen arbitrarily. The case of $c_1=0$ corresponds to the ordinary Wilson action.  In addition to the Iwasaki action we also consider the Symanzik tree-level improved action with $c_1=-1/12$. Any discrepencies resulting from different smoothing actions are interpeted as lattice artifacts and are expected to vanish in the continuum limit.

Smoothing a gauge link $U_{\mu}(x)$ can be accomplished by its replacement by some other link that minimizes the local action. To this purpose it makes more sense to rewrite the gauge action of Eq.~(\ref{eq:Sg_Iwasaki}) as
\bea
S_G &=& \frac{\beta}{N} {\rm Re} \Tr \{ {\it X}^\dagger_{\mu}(x) {\it U}_{\mu}(x) \} + \{ {\rm terms \ independent \ of} \ {\it U}_{\mu}(x) \}\,,
\label{Local_Gauge_Action}
\eea   
where $X_{\mu}(x)$ is the sum of all the path ordered products of link matrices, called the ``staples'', which interact with the link $U_{\mu}(x)$. The main components in the Wilson action  are the plaquettes and thus  the staples resulting from the square component of the action  extend over $1 \times 1$ squares (in lattice units). For the rectangular part of the action the staples extend over rectangles of sizes $1 \times 2$ and $2 \times 1$. We can, therefore, write  $X_{\mu}(x)$ as
\bea
X_{\mu} (x)= c_0 X^{\rm plaq}_{\mu} (x)+ c_1 X^{\rm rect}_{\mu}(x)\,,
\label{eq:Sum_Staples}
\eea
with 
\begin{equation}\label{eq:Wilson_Staples}
\begin{aligned}
X^{\rm plaq}_{\mu}(x)=\sum_{\nu\ge 0, \nu\neq\mu}\Big[ U_{\nu}(x)U_{\mu}(x+a\hat{\nu})U_{\nu}^{\dag}(x+a\hat{\mu})+U_{\nu}^{\dag}(x-a\hat{\nu})U_{\mu}(x-a\hat{\nu})U_{\nu}(x-a\hat{\nu}+a\hat{\mu})\Big]\,,
\end{aligned}
\end{equation}
and
\bea
X^{\rm rect}_{\mu}(x)&=& \sum_{\nu\ge 0, \nu\neq\mu}\Big[ U_{\nu}(x) U_{\nu}(x+a\hat{\nu}) U_{\mu}(x+2a\hat{\nu})U_{\nu}^{\dag}(x+a\hat{\nu}+a\hat{\mu})U_{\nu}^{\dag}(x+a\hat{\mu})+ \nonumber \\
&+&U_{\nu}^{\dag}(x-a\hat{\nu}) U_{\nu}^{\dag}(x-2a\hat{\nu}) U_{\mu}(x-2a\hat{\nu})U_{\nu}(x-2a\hat{\nu}+a\hat{\mu})U_{\nu}(x-a\hat{\nu}+a\hat{\mu}) \Big]\  \nonumber \\
&+& \sum_{\nu\ge 0, \nu\neq\mu}\Big[ U_{\nu}(x) U_{\mu}(x+a\hat{\nu}) U_{\mu}(x+a\hat{\nu}+a\hat{\mu})U_{\nu}^{\dag}(x+2a\hat{\mu})U_{\mu}^{\dag}(x+a\hat{\mu})+ \nonumber \\
&+&U_{\nu}^{\dag}(x-a\hat{\nu}) U_{\mu}(x-a\hat{\nu}) U_{\mu}(x-a\hat{\nu}+a\hat{\mu})U_{\nu}(x-a\hat{\nu}+2a\hat{\mu})U^{\dagger}_{\mu}(x+a\hat{\mu}) \Big]\  \nonumber \\
&+& \sum_{\nu\ge 0, \nu\neq\mu}\Big[ U^{\dagger}_{\mu}(x-a\hat{\mu}) U_{\nu}(x-a\hat{\mu}) U_{\mu}(x-a\hat{\mu}+a\hat{\nu})U_{\mu}(x+a\hat{\nu})U_{\nu}^{\dag}(x+a\hat{\mu})+ \nonumber \\
&+&U_{\mu}^{\dag}(x-a\hat{\mu}) U^{\dagger}_{\nu}(x-a\hat{\nu}-a\hat{\mu}) U_{\mu}(x-a\hat{\nu}-a\hat{\mu})U_{\mu}(x-a\hat{\nu})U_{\nu}(x-a\hat{\nu}+a\hat{\mu}) \Big]\,.
\label{eq:Rectangle_Staples}
\eea
According to the above two equations, for a given link $U_{\mu}(x)$, the total number of plaquette and rectangular staples interacting with it is 6 and 18 respectively.
\subsection{Cooling}
\label{Cooling}
Cooling is applied to a link variable $U_{\mu}(x) \in SU(N)$ by updating it, from an old value $U^{\rm old}_{\mu}(x)$ to $U^{\rm new}_{\mu}(x)$, according to the probability density
\be
P(U) \propto {\rm exp}\left\{ \lim_{\beta \to \infty} \beta \frac{1}{N} {\rm Re} \Tr {\it X_{\mu}}^\dagger(x) {\it U_{\mu}}(x)  \right \}\,.
\label{eq:Probability_Density_Cooling}
\ee
The basic step of the cooling algorithm is to replace the given link $U^{\rm old}_{\mu}(x)$ by an $SU(N)$ group element, which minimizes locally the action, while all the other links remain unaltered. This is done by choosing a matrix $U^{\rm new}_{\mu}(x) \in SU(N)$ that maximizes 
\bea
{\rm Re} \Tr \{ {\it U}^{\rm new}_{\mu}(x) {\it X}^{\dagger}_{\mu}(x)  \}\,.
\eea
In the case of an $SU(2)$ gauge theory, the maximization is achieved by
\be
U^{\rm new}_{\mu}(x) = \frac{X_{\mu} (x)}{ \sqrt{{\deter} X_{\mu} (x)}}\,.
\label{eq:case_of_su2}
\ee  
For $SU(N)$ the maximization can be implemented by using the Cabibbo-Marinari algorithm~\cite{Cabibbo:1982zn}; one has to iterate the maximization over all the $SU(2)$ subgroups embedded into $SU(N)$.

We iterate this procedure so that all the links on all sites are updated. Such a  sweep over the whole lattice is called a cooling step and will denote by $n_c$ the number of cooling steps performed. 
During the sweep  the link variables, which have already been updated, are subsequently used for the update of the links still retaining their old value. 

\subsection{Gradient flow}
\label{sec:Gradient_Flow}
The gradient flow is defined as the solution of the evolution equations~\cite{Luscher:2010iy,Luscher:2011bx,Luscher:2013vga}
\bea
\dot{V}_{\mu} \left( x, \tau \right) & = & -g_0^2 \left[ \partial_{x, \mu} S_G(V(\tau)) \right] V_{\mu} \left(x, \tau \right) \nonumber \\
V_{\mu} \left( x, 0 \right) & = & U_{\mu} \left( x \right)\,,
\label{eq:Definition_Gradient_Flow}
\eea
where $\tau$ is the total gradient flow time. In the above equation the link derivative is defined as
\bea
\partial_{x, \mu} S_G(U) & = & i \sum_{a} T^a \frac{\rm d}{{\rm d} s} S_G \left( e^{is Y^a} U  \right) \Bigg|_{s=0} \nonumber \\
                     & \equiv & i \sum_{a} T^a \partial^{(a)}_{x,\mu} S_G(U)\,,
\eea
with
\begin{equation}
Y^a(y,\nu)=\left\{\begin{array}{ll} T^a & \mathrm{if}\ (y,\nu)=(x,\mu) \\ 0 & 
\mathrm{if}\ (y,\nu) \neq(x,\mu)\,, \end{array} \right. \ 
\end{equation}
and $T^a$ ($a=1,\cdots, N^2-1$) the Hermitian generators of the $SU(N)$ group. If we now set $\Omega_{\mu} = U_{\mu}(x) X^{\dagger}_{\mu} (x)$ we obtain
\bea
g_0^2 \partial_{x,\mu} S_G(U) = \frac{1}{2} \left( \Omega_{\mu} - \Omega^{\dagger}_{\mu}  \right) - \frac{1}{2N} {\rm Tr} \left( \Omega_{\mu} - \Omega^{\dagger}_{\mu}  \right).
\label{eq:g02_partial_S}
\eea
The last equation provides all we need in order to smooth the gauge fields according to the Eqs.~(\ref{eq:Definition_Gradient_Flow}). Evolving the gauge fields via gradient flow requires the numerical integration of Eqs.~(\ref{eq:Definition_Gradient_Flow}). This is performed using the third order Runge-Kutta scheme as  explained in Ref.~\cite{Luscher:2013vga}. For the exponentiation of the Lie-algebra fields required for the integration, we apply the algorithm described in Ref.~\cite{Morningstar:2003gk}. We investigate how the elementary integration step $\epsilon$ affects our results and find that $\epsilon=0.02$ is a safe option as this was also pointed out in Ref.~\cite{Bonati:2014tqa}; we observe that smaller elementary integration steps give the same results. We therefore set $\epsilon=0.02$ for the integration step.
   
\subsection{Perturbative relation between cooling and the gradient flow}
\label{perturbative_procedure}
Both cooling and gradient flow can be used  to remove the ultraviolet fluctuations.   Both should lead to the same topological properties 
provided that we are close enough to the continuum limit. 
Assuming that we are in the perturbative regime 
we can carry out a perturbative comparison in order to obtain an analytic relation between the scales involved in the two procedures following
Ref.~\cite{Bonati:2014tqa} where the relation
\bea
\tau \simeq n_c /3\,,  
\eea 
was derived for the Wilson action.
 In this work we derive a more general expression of the form $\tau =n_c \times f(c_1)$ for smoothing actions that, in addition to the plaquette, also include a rectangular term. 

In the perturbative regime the link variables can be expanded as
\bea
  U_{\mu} (x) \simeq \idnty + i \sum_{a} u^a_{\mu}(x) T^a\,,
\label{eq:Link_Variable_Expansion}
\eea
with $u^a_{\mu}(x)$ $\in$ {\bf R} is assumed to be infinitesimal.

Using Eqs.~(\ref{eq:Wilson_Staples})~and~(\ref{eq:Rectangle_Staples}) the plaquette and rectangular staples are written as
\bea
X^{\rm plaq}_{\mu} (x)   \simeq   6 + i \sum_{a} w^a_{\mu}(x) T^a \ \ \ \ {\rm and} \ \ \ \ X^{\rm rect}_{\mu} (x)  \simeq   18 + i \sum_{a} v^a_{\mu}(x) T^a\,,
\eea
where  $w^a_{\mu}(x)$ and $v^a_{\mu}(x)$ are infinitesimal quantities. The leading coefficients with values 6 and 18 appearing in the above equations are just the number of plaquettes and rectangles interacting with the link on which the gradient flow evolution is applied. We can, therefore, write the sum of staples (\eq{eq:Sum_Staples}) as
\bea
X_{\mu} (x) \simeq 6 c_0 + 18 c_1 + i c_0 \sum_{a}  w^a_{\mu}(x) T^a + i c_1 \sum_{a} v^a_{\mu}(x) T^a\,,
\label{eq:equation_xmu}
\eea
and, subsequently, $\Omega_{\mu}(x)$ as 
\bea
\Omega_{\mu}(x) \simeq 6 c_0 +18 c_1 + i \sum_{a} \left[ (6 c_0 +18 c_1) u^a_{\mu}(x) - \left( c_0 w_{\mu}^a(x) + c_1 v^a_{\mu}(x) \right)   \right] T^a\,.
\eea
Hence, \eq{eq:g02_partial_S} becomes
\bea
g_0^2 \partial_{x,\mu} S_G(U) = i \sum_{a} \left[ (6 c_0 +18 c_1) u^a_{\mu}(x) - \left( c_0 w_{\mu}^a(x) + c_1 v^a_{\mu}(x) \right)   \right] T^a\,.
\eea
Using the above expression, the evolution of the gradient flow can be approximated as
\bea
u_{\mu}^a (x,\tau+\epsilon) \simeq u_{\mu}^{a} (x,\tau) - \epsilon \left[  (6 c_0 +18 c_1) u^a_{\mu}(x,\tau) - \left( c_0 w_{\mu}^a(x,\tau) + c_1 v^a_{\mu}(x,\tau) \right)   \right]\,.
\label{WilsonUpdate}
\eea
For the cooling procedure, one needs to consider that  the link $U_{\mu}(x)$ is substituted with the projection of $X_{\mu}$ over the gauge group. Namely, for the case of an $SU(2)$ gauge theory this projection is manifested by \eq{eq:case_of_su2} where we substitute $X_{\mu}(x)$ by \eq{eq:equation_xmu}. In the perturbative approximation this leads to~\footnote{This can be derived easily for $SU(2)$ where one can explicitly expand \eq{eq:case_of_su2}. Making use of the Mercator series expansion of the logarithm we write
\bea
{\rm det} X_{\mu} \left( x \right) = (6 c_0 + 18 c_1)^2 {\rm det} \left( \idnty + i \sum_{a} \frac{\left( c_0 w_{\mu}^a(x) + c_1 v^a_{\mu}(x) \right)}{6 c_0 + 18 c_1} T^a  \right) = (6 c_0 + 18 c_1)^2 \left( 1 + {\cal O} \left( \Tr \left\{ T^a \right\} \right) + {\cal O} \left( a^2 \right) \right).
\eea
Thus, the expansion of \eq{eq:case_of_su2} gives
\bea
\frac{X_{\mu}}{\sqrt{\deter X_{\mu}(x)}} = \frac{1}{(6 c_0 + 18 c_1)} \left(  6 c_0 + 18 c_1 + i c_0 \sum_{a}  w^a_{\mu}(x) T^a + i c_1 \sum_{a} v^a_{\mu}(x) T^a  \right) = \idnty + i \sum_{a} \frac{\left( c_0 w_{\mu}^a(x) + c_1 v^a_{\mu}(x) \right)}{6 c_0 + 18 c_1} T^a\,. 
\eea
}
\bea
U^{\rm new}_{\mu}(x) \simeq \idnty + i \sum_{a} \frac{\left( c_0 w_{\mu}^a(x) + c_1 v^a_{\mu}(x) \right)}{6 c_0 + 18 c_1} T^a\,.
\eea
The above update corresponds to the substitution
\bea
u^a_{\mu} (x) \to \frac{\left( c_0 w_{\mu}^a(x) + c_1 v^a_{\mu}(x) \right)}{6 c_0 + 18 c_1}\,.
\label{CoolingUpdate}
\eea
Comparing  Eqs.~[\ref{WilsonUpdate}] and~[\ref{CoolingUpdate}] we observe that the gradient flow would evolve the same as cooling if one chooses a step of $\epsilon = 1/ {(6 c_0 + 18 c_1)}$. In addition, during a whole cooling step the link variables, which have already been updated are subsequently used for the update of the remaining links that await update; this corresponds to a speed-up of a factor of two. Therefore, the predicted perturbative relation between the flow time $\tau$ and the number of cooling steps $n_c$ so that both smoothers have the same effect on the gauge field is
\bea
\tau \simeq \frac{n_c}{3c_0+9c_1} = \frac{n_c}{3-15 c_1}\,.
\label{eq:perturbative_expression}
\eea 
The cooling/gradient flow rescaling factors for our choice of actions are given in \tbl{tab:rescaling}.\par
\begin{table}[ht]
\begin{center}
\begin{tabular}{lccc}
\hline \hline Smoothing action & $c_0$ & $c_1$ & $n_c/\tau$ \\
\hline \hline Wilson &  1 & 0 & 3 \\
Symanzik tr.level  & $\frac{5}{3}$ & $-\frac{1}{12}$ & 4.25 \\
Iwasaki & 3.648 & -0.331  & 7.965 \\ \hline \hline 
\end{tabular}
\caption{\label{tab:rescaling} Leading order perturbative rescaling between the number of cooling steps and gradient flow time such that the two smoothing techniques are equivalent. These numbers are according to \eq{eq:perturbative_expression}.}
\end{center}
\end{table}
An important question, which needs to be answered is how one tunes the smoothing parameters as the continuum limit is approached; this has been extensively discussed in Ref.~\cite{Bonati:2014tqa} and we will briefly comment on how this is modified here. In practice, by applying the smoothing procedure on some configurations    the ultraviolet (UV) properties of the theory up to some length scale $\lambda_S$ are modified by suppressing the UV fluctuations at smaller length scales. For this to 
be a viable procedure  we need to show that by altering the UV part of the 
theory the  continuum results remain unchangeable and, thus, the underlying physics does not depend on $\lambda_S$. Thus, one needs to choose the length scale $\lambda_S$, which for procedures like cooling often was taken arbitrarily; in other words the choice of the smoothing parameters such as $n_c$ in the case of cooling but also for other
smearing techniques such as APE~\cite{Albanese:1987ds,Bonnet:2000dc}, HYP~\cite{Hasenfratz:2001hp,Durr:2006ky} and Stout~\cite{Morningstar:2003gk,Moran:2008ra}  is not entirely  clear.  The gradient flow, on the other hand, provides a smoothing procedure where this length scale is quantified as discussed below. Namely, it has been shown that one can simply renormalize composite operators at fixed physical flow time with \par    
\bea
\lambda_S \simeq \sqrt{8 t} \, ,
\eea
with $t=a^2 \tau$ being the gradient flow time in physical units. We can, therefore, translate the length scale $\lambda_S$ as a function of the cooling step $n_c$ according to the formula
\bea
\lambda_S \simeq a \sqrt{\frac{8 n_c}{3-15c_1} }.
\eea
Given that the validity of \eq{eq:perturbative_expression} is confirmed numerically, we end up with an expression for an associate length scale $\lambda_S$ for the case of cooling as well.  One can also generalize this correspondance for the cases of other smoothers, such as the APE and stout smearing~\cite{Alexandrou:topology}. \par

As an example we consider the continuum limit of the topological susceptibility which is used in this work. According to Refs.~\cite{Luscher:2010iy,Luscher:2013vga} one reads the topological susceptibility at a fixed value (in physical units) of $\lambda_S =\sqrt{8 t} = O(0.1 {\rm fm})$ such that $\lambda_S$ is not too small so that discretisation effects are suppressed, as well as not too large so that the topological content of the gauge field is preserved. Practically, $\lambda_S$ should correspond to a plateau for the topological susceptibility which should be scale invariant. Hence, we extract the value of the topological susceptibility at fixed $\lambda_S$ for a sequence of lattice spacings and then extrapolate it in the continuum limit.

\section{Numerical Results}
\label{sec:results}

\subsection{Topological Charge}
\label{sec:results_on_topological_charge}
We apply  cooling and gradient flow on $N_f=2+1+1$ twisted mass fermions  gauge configurations  with $\beta=1.90$, $\beta=1.95$ and $\beta=2.10$ using the Wilson (\eq{eq:Sg_Iwasaki} with $c_1=0$), Symanzik tree-level improved (\eq{eq:Sg_Iwasaki} with $c_1=-1/12$) and Iwasaki (\eq{eq:Sg_Iwasaki} with $c_1=-0.331$) actions.  We measure the average action, as well as the plaquette (\eq{eq:plaquette_definition}), clover (\eq{eq:Clover_definition}) and improved (\eq{eq:Improved_definition}) definitions of the topological charge for every cooling step $n_c$. Gradient flow is costlier and, thus, we take measurements for every $\Delta \tau=0.1$ in units of gradient flow time (which corresponds to five integration steps for $\epsilon=0.02$) instead of every integration step. We cover in total $60-100$ cooling steps while for the gradient flow we fix the maximum gradient flow time according to the perturbative expression of \eq{eq:perturbative_expression} and the maximum number of cooling steps. The cooling/gradient flow rescaling factors used are taken from \tbl{tab:rescaling}.\par
\begin{figure}[h!]
\centerline{ \scalebox{1.2}{\input{plot_topological_charge.tex}\put(-320,230){\scriptsize $\beta=1.90$ -- Wilson}\put(-234,230){\scriptsize $\beta=1.90$ -- Symanzik tree-level}\put(-100,230){\scriptsize $\beta=1.90$ -- Iwasaki}\put(-320,115){\scriptsize $\beta=2.10$ -- Wilson}\put(-234,115){\scriptsize $\beta=2.10$ -- Symanzik tree-level}\put(-100,115){\scriptsize $\beta=2.10$ -- Iwasaki}}}
\vspace{1.0cm}
\caption{\label{fig:topological_charge_Actions} The improved definition of the topological charge as a function of $n_c$ for cooling and $\tau$ rescaled by a factor of 3, 4.25 and 7.965 for gradient flow extracted with Wilson (left), Symanzik tree-level improved (middle) and Iwasaki (right) smoothing actions respectively. The different colors correspond to the four different configurations chosen randomly while filled and open symbols correspond to cooling and gradient flow respectively. Upper panel is for $\beta=1.90$ and lower panel for $\beta=2.10$.}
\end{figure}
The behavior of the topological charge ${\cal Q}$ for single configurations as a function of $n_c$ and $\tau$ is investigated for cooling and gradient flow, respectively for a given smoothing action and lattice spacing. In \fig{fig:topological_charge_Actions} we present the improved definition of the topological charge as a function of $n_c$ and $\tau$ for four randomly chosen configurations. We show results for $\beta=1.90$ and $\beta=2.10$. For $\beta=1.90$ we observe that the topological charge for a given configuration whithin the whole range of $n_c$ / $(3-15c_1) \times \tau$  yield  different values for cooling and gradient flow.  The difference in the value of the topological charge is not surprising since the different smoothers have different lattice artifacts and do not need to agree at non-zero values of the lattice spacing. For $\beta=2.10$ 
the values become closer as expected. Thus, 
  as one approaches the continuum limit the two different procedures
converge. We note that the topological charge itself is not the main quantity of interest. It provides only a measure on the fluctuations and an input for the topological susceptibility, which is the physically relevant quantity. In the next section we will  thus  focus on the relevant physical observables. In this section, we restrict the presentation to the topological charge.
Another  observation from the results shown in \fig{fig:topological_charge_Actions} is that for the  Wilson and Symanzik tree-level improved  actions the topological charge ${\cal Q}$ as a function of $n_c$ or $\tau$ is not really constant. As can be seen  in the left and middle panels  of \fig{fig:topological_charge_Actions},  the topological charge  obtains different values
 with increasing $n_c$ and $\tau$. This behavior, although still present, appears to be supressed for our finest lattices with $\beta=2.10$.  Using the Iwasaki action, we observe that the topological charge  fluctuates for $n_c \in$ $[0,20-30]$ and then becomes completely stable no matter what the lattice spacing is. These results have been observed when applying cooling in previous studies and they comply 
with theoretical expectations from an, admittedly, semi-classical picture. Namely, at finite lattice spacing the lattice action deviates from its continuum limit with deviations that increase as the gauge fields become larger. Instantons have a scale parameter $\lambda$, which enters non-trivially the action. As one decreases $\lambda$, the gauge fields
are expected to  become  larger modifying the gauge action 
as well. The lattice action can be written~\cite{deForcrand:1997sq,GarciaPerez:1993ki} (on dimensional grounds) as
\bea
S_{\rm Lat} (a,\lambda) = S_{\rm cont} \left\{  1 + \left( a/\lambda \right)^2 a_2 + \left( a/\lambda \right)^4 a_4 + {\cal O}\left( a/\lambda \right)^6    \right\}
\eea      
with $a_2=-1/5$ for Wilson, $a_2=0, a_4=-17/210$ for Symanzik and  $a_2=+2.972/5$ for Iwasaki. Stable instanton solutions require a lattice action which increases by decreasing the scale parameter $\lambda$. This requirement is fullfield only for the Iwasaki action and that is  the reason why one observes stable topological charge. On the contrary, for the Wilson and Symanzik tree-level improved actions, the solutions are not stable; this is reflected in the 
fact that the values of the topological charge jump to different values.
Nevertheless, stability sets in as $a \to 0$; this is visible for the case of $\beta=2.10$  in \fig{fig:topological_charge_Actions} where we observe less 
changes in the value of ${\cal Q}$.
\begin{figure}[h]
\centerline{ \scalebox{0.75}{\input{comparison_definitions.tex}}}
\caption{\label{fig:topological_charge_comparison_definitions} An example of the behavior of the topological charge for a single configuration as a function of $n_c$ and $\tau$ rescaled by $7.965$ for cooling (open symbols) and gradient flow (filled symbols) for two different configurations. With the red circles we present the improved, with green diamonds the clover and with blue squares the plaquette definition of the topological charge. The smoothing has been performed with the Iwasaki action.}
\end{figure}
\begin{figure}[h]
\centerline{ \scalebox{1.2}{\input{plot_sampling.tex}\put(-320,230){\scriptsize $\beta=1.95$ -- Wilson}\put(-234,230){\scriptsize $\beta=1.95$ -- Symanzik tree-level}\put(-100,230){\scriptsize $\beta=1.95$ -- Iwasaki}\put(-320,115){\scriptsize $\beta=2.10$ -- Wilson}\put(-234,115){\scriptsize $\beta=2.10$ -- Symanzik tree-level}\put(-100,115){\scriptsize $\beta=2.10$ -- Iwasaki}}}
\vspace{1.0cm}
\caption{\label{fig:sampling.tex} The time history of the topological charge which has been extracted by cooling (blue dashed line) and gradient flow (red solid line) at $n_c=50$ and the corresponding flow time for each different choice of smoothing action. In the upper row we present results for $\beta=1.95$ and in the lower results for $\beta=2.10$.}
\end{figure}
Comparing results for  the three different definitions of the topological charge density, we observe that for the improved case the topological charge converges closer and faster to a near integer value compared to the other two definitions. All three definitions for the  three ensembles give topological charges, which converge to the same near integer as a function of the relevant smoothing scale. These two observations suggest that indeed the three topological charge definitions differ only due to  lattice artifacts. Such a comparison is meaningful only if the topological charge acquires stability and hence, we consider the  Iwasaki action. In  \fig{fig:topological_charge_comparison_definitions}, we   observe that for the clover as well as for the improved definition, the topological charge converges faster than when the plaquette definition is used in particular in the case when cooling is performed. 

In \fig{fig:sampling.tex} we present an example of the time history (first 900 configurations) of the topological charge ${\cal Q}$ for gauge configurations that  have been cooled using $n_c=50$. We also include the time history when using
the gradient flow for a step of $\tau=n_c/(3-15c_1)$. Results are shown for $\beta=1.95$ and $\beta=2.10$ for the three gauge actions. As can be seen,
 the topological charge does not suffer from large autocorrelations and
the time histories between cooling and the gradient flow are very similar. This similarity can be quantified by the calculation of the linear correlation coefficient, which is the topic of \sec{sec:results_on_correlation_coefficient}. \par 

Additionally, in \fig{fig:B55distribution}, we provide the histogram of the topological charge for both cooling and gradient flow for the three  actions.  We observe that the histograms exhibit nearly gaussian distributions in particular for the $\beta=1.95$ ensemble where a large number of configurations is analyzed.  As expected, the distributions using cooling or the gradient flow look very similar for all three  actions and the associated gaussian fits fall on top of each other. This already points to  the equivalence anticipated for the topological susceptibility. \par 
\begin{figure}[h]
\centerline{ \scalebox{1.15}{\scalebox{0.6}{\input{Gaussian_Wilson.tex}\put(-250,190){\Large Wilson}} \hspace{-3.45cm} \scalebox{0.6}{\input{Gaussian_Symanzik.tex}\put(-250,190){\Large  Symanzik tree-level}} \hspace{-3.45cm} \scalebox{0.6}{\input{Gaussian_Iwasaki.tex}\put(-250,190){\Large Iwasaki}}}}\vspace{-1.1cm}
\centerline{ \scalebox{1.15}{\scalebox{0.6}{\input{plot_fit_gaussian_wilson.tex}\put(-250,190){\Large Wilson}} \hspace{-3.45cm} \scalebox{0.6}{\input{plot_fit_gaussian_symanzik.tex}\put(-250,190){\Large  Symanzik tree-level}} \hspace{-3.45cm} \scalebox{0.6}{\input{plot_fit_gaussian_iwasaki.tex}\put(-250,190){\Large Iwasaki}}}}
\caption{\label{fig:B55distribution} The distribution (first row) of the topological charge for $\beta=1.95$ and the accosiated gaussian fit (second row). In blue we present the distribution obtained via cooling at $n_c=50$ and in red the distribution obtained via gradient flow at $\tau=16.7$, $\tau=11.8$ and $\tau=6.3$ for Wilson, Symanzik tree-level improved and Iwasaki  actions, respectively.}
\end{figure}
\subsection{Average Action Density}
\label{sec:results_on_average_action_density}
As a common scale for the two smoothing techniques we can use the action, the minimization of which defines both smoothers. Instead of looking at the action we  consider the dimensionless average action density $\left\langle \bar{S}_{\rm G} \right\rangle$ $\in[0,1)$ defined as
\bea
\left\langle \bar{S}_{\rm G} \right\rangle & = & 1 - \left\langle \frac{c_0 \sum_{x} \sum_{\substack{
      \mu,\nu=1\\1\leq\mu<\nu}}^4 {\rm Re} \Tr U^{1\times1}_{x,\mu,\nu} + c_1 \sum_{x} \sum_{\substack{\mu,\nu=1\\\mu\neq\nu}}^4 {\rm Re} \Tr(U^{1\times2}_{x,\mu,\nu})}{\left( 6 c_0 + 12 c_1 \right)Va^{-4}N}   \right\rangle.
\label{eq:action_density_definition}
\eea
In \fig{fig:Action_Density} we present the average action density for $\beta=1.95$ as a function of $n_c$ and the perturbatively determined values of the
gradient flow time, namely  $3 \times, \, 4.25 \times, \ {\rm and} \ 7.965 \times \tau$ for the Wilson, the Symanzik tree-level improved and the Iwasaki  actions, respectively.  As expected from the findings of Ref.~\cite{Bonati:2014tqa}, for the Wilson action, the rescaling  $n_c=3\tau$  leads to  equivalent
results  for this quantity between gradient flow and cooling for small values of $n_c$ and $\tau$. For instance for $\beta=1.95$ where our results are more accurate we find that for $n_c \geq 20$ the average action for both procedures becomes the same. Our results show that a  similar behavior is observed also for the other two actions. Namely, the average action density  deviates for small values of the smoothing scales but for $n_c {\sim} 30 $, for the Symanzik tree-level improved, and $n_c {\sim} 50 $, for the Iwasaki action, they become equal.  Similar behavior is also observed for $\beta=1.90$ and $\beta=2.10$ showing the  equivalence of the two procedures in evaluating the average action  density.
\begin{figure}[!h]
\centerline{ \scalebox{1.15}{\scalebox{0.60}{\input{action_B55_Wilson.tex}\put(-250,40){\Large Wilson}} \hspace{-3.45cm} \scalebox{0.60}{\input{action_B55_Symanzik.tex}\put(-250,40){\Large Symanzik tree-level}} \hspace{-3.45cm} \scalebox{0.60}{\input{action_B55_Iwasaki.tex}\put(-250,40){\Large Iwasaki}}}}
\caption{\label{fig:Action_Density} The average action density $\langle S_G \rangle$ as a function of the cooling step $n_c$ and the corresponding gradient flow time $n_c/(3-15c_1)$ for $\beta=1.95$ and the three smoothing actions Wilson, Symanzik tree-level (tr.l) and Iwasaki.}
\end{figure}
\begin{figure}[!h]
\centerline{ \scalebox{1.15}{\scalebox{0.6}{\input{equivalence_wilson.tex}\put(-250,190){\Large Wilson}} \hspace{-3.45cm} \scalebox{0.6}{\input{equivalence_symanzik.tex}\put(-250,190){\Large  Symanzik tree-level}} \hspace{-3.45cm} \scalebox{0.6}{\input{equivalence_iwasaki.tex}\put(-250,190){\Large Iwasaki}}}}
\caption{\label{fig:divergence_function} The behavior of $\tau(n_c)$ as a function of $n_c$ for Wilson, Symanzik tree-level improved and Iwasaki smoothing actions. The lines corresponds to $\tau=n_c/3$, $\tau=n_c/4.25$ and $\tau=n_c/7.965$ for Wilson, Symanzik tree-level improved and Iwasaki actions, respectively.}
\end{figure}
Following Ref.~\cite{Bonati:2014tqa} we define $\tau (n_c)$ as  the gradient flow time $\tau$ for which the average action density changes by the same amount as when $n_c$ cooling steps are performed. This function is evaluated
 by interpolating between the discrete gradient flow time steps with cubic splines. In \fig{fig:divergence_function} we report the function $\tau (n_c)$ for the three different  actions, for our three different ensembles. We observe that for each action used the results are in  agreement  for the three ensembles giving the first indication that the equivalence between the gradient flow and cooling has a well-defined continuum limit. In addition to the functions $\tau (n_c)$ we also plot the lines $\tau=n_c/3$, $\tau=n_c/4.25$ and $\tau=n_c/7.965$ for the  Wilson, Symanzik tree-level and Iwasaki actions, respectively. Obviously these linear functions provide good approximations of $\tau (n_c)$ for each choice of action even for the ranges of $n_c$ where equivalence in~\fig{fig:Action_Density} does not hold. Since the average action plays the role of a common scale between the two procedures and $\tau (n_c)$ has such a good agreement with the perturbative lines, there is little doubt that the approximation $\tau (n_c) = n_c / (3-15 c_1)$ provides an adequate rescaling between $n_c$ and $\tau$ with finite lattice spacing corrections playing an insignificant role.\par

\subsection{Topological Susceptibility}
\label{sec:results_on_susceptibility}
In this section we examine results on the topological susceptibility defined as
\bea
\chi= \frac{\langle {\cal Q}^2 \rangle}{a^4 V}\,.
\label{eq:topological_susceptibility}
\end{eqnarray}
The topological susceptibility has been investigated extensively using several  techniques  such as smearing and cooling~\cite{AliKhan:2001ym,Durr:2006ky,Cundy:2002hv} and recently determinations of $\chi$ make use of the gradient flow~\cite{Sommer:2014} as well as the spectral projectors method~\cite{Cichy:2013rra,Engel:2014eea}.  The question we would like to address here is not the detailed determination of the topological susceptibility, which will be the subject of another 
followup paper, but rather its use as a comparison between cooling and gradient flow for the three actions considered in the previous sections.
\begin{figure}[tb]
\centerline{ \scalebox{1.15}{\scalebox{0.6}{\input{plot_wilson_nc.tex}\put(-250,220){\Large Wilson}} \hspace{-3.45cm} \scalebox{0.6}{\input{plot_symanzik_nc.tex}\put(-250,220){\Large  Symanzik tree-level}} \hspace{-3.45cm} \scalebox{0.6}{\input{plot_iwasaki_nc.tex}\put(-250,220){\Large Iwasaki}}}}
\caption{\label{fig:susceptibility_B55} The topological susceptibility $r_0 \chi^4$ units of $r_0$ computed using the three different definitions of the topological charge density, namely the plaquette, the clover and the improved definition, as a function of the  cooling step and the associated gradient flow time. From left to right we show results for the Wilson, Symanzik tree-level improved and Iwasaki actions. The results when using the plaquette definition coincide with those obtained using the clover definition.}
\end{figure}
\begin{figure}[h]
\centerline{ \scalebox{0.6}{\input{plot_wilson_average_action_b55.tex}\put(-250,220){\Large $\beta=1.95$ -- Wilson}} \hspace{-3.45cm} \scalebox{0.6}{\input{plot_symanzik_average_action_b55.tex}\put(-250,220){\Large  $\beta=1.95$ -- Symanzik tr.l}} \hspace{-3.45cm} \scalebox{0.6}{\input{plot_iwasaki_average_action_b55.tex}\put(-250,220){\Large $\beta=1.95$ -- Iwasaki}}}
\centerline{ \scalebox{0.6}{\input{plot_wilson_average_action_d45.tex}\put(-250,220){\Large $\beta=2.10$ -- Wilson}} \hspace{-3.45cm} \scalebox{0.6}{\input{plot_symanzik_average_action_d45.tex}\put(-250,220){\Large  $\beta=2.10$ -- Symanzik tr.l}} \hspace{-3.45cm} \scalebox{0.6}{\input{plot_iwasaki_average_action_d45.tex}\put(-250,220){\Large $\beta=2.10$ -- Iwasaki}}}
\caption{\label{fig:Topological_susc} The susceptibility as a function of the average action density $\langle {\overline S_G} \rangle$ for $\beta=1.95$ (top) and $\beta=2.10$ (bottom)  ensembles and the three  actions.}
\end{figure}
In \fig{fig:susceptibility_B55} we show $r_0 \chi^{1/4}$ as a function of the number of cooling steps and the gradient flow time rescaled by the corresponding perturbative factor for $\beta=1.95$. We do so for the three different actions used in the cooling and gradient flow procedure, namely the Wilson, the Symanzik tree-level improved and the Iwasaki actions, for the three lattice definitions of the topological charge density; to reveal the associated correspondence we collect the results for both procedures in the same plot. We observe that for a given action  after a few cooling steps $n_c \leq 10$ or the equivalent gradient flow time $\tau=n_c/(3-15 c_1)$ the  susceptibilities computed using the plaquette or the  clover definition of the topological charge density are almost indistinguishable. In general, such an agreement is not expected at finite lattice spacings and  one might see deviations for very large statistics. However, for our current statistical accuracy  both definitions give the same results and we thus only considered the susceptibility based on the clover definition of the topological charge. The results in \fig{fig:susceptibility_B55} also show the very good agreement between cooling and  the gradient flow for the topological susceptibilities obtained using the same definition for the topological charge density and the same action. As a matter of fact for even a very small number of cooling steps i.e. $n_c \sim 5$ and the corresponding gradient flow time $\tau \sim 5/{(3-15c_1)}$ the two values of the topological susceptibilities become the same. For larger number of cooling steps and the associated gradient flow times  the two topological susceptibilities become almost indistinguishable. Thus, the perturbative matching between the two smoothers $\tau \simeq n_c/(3-15 c_1)$ is confirmed as far as results on the topological susceptibility are concerned.\par     

In \fig{fig:Topological_susc} we present the topological susceptibility $r_0 \chi^{1/4}$ as a function of the average action density  defined as the common scale for cooling and the gradient flow. The susceptibility $\chi$ has been extracted for the clover and improved definitions of the topological charge density and computed using the ensembles with $\beta=1.95$ and $\beta=2.10$ for our three  actions. We observe that for all three actions and for both definitions of the topological charge density as well as for $n_c \geq 2$ we obtain very good  agreement. For our most accurate calculation using the  $\beta=1.95$ ensemble, results on $\chi$ obtained using cooling and gradient flow are in excellent agreement, but differ for the clover and improved definitions of $\chi$. Complementarily, for our finest lattice spacing ensemble with $\beta=2.10$, we observe that  the topological susceptibilities for the clover and improved definitions of the topological charge density become closer  for $n_c \simeq 6, \ 10, \ 20$ for Wilson, Symanzik tree-level improved and Iwasaki smoothing actions, respectively. This is in accordance with the fact that the topological susceptibility based on the two different definitions of the topological charge density is expected to become the same  towards the continuum limit. \par

Returning to Fig. \ref{fig:susceptibility_B55} one can see that
there is  a plateau for the topological susceptibility as a function of the smoothing scale when the clover/plaquette definitions are used for  the topological charge density which sets in when the Wilson action is used for $n_c \sim 40$.
A plateau is also observed for the improved definition if the Symanzik tree-level improved action is used for $n_c \sim 40$. On the contrary, when using the Iwasaki action, the 
susceptibility increases with $n_c$ (or equivalently with $\tau$). This means that  $n_c$ is not large enough for the Iwasaki action.

\subsection{Correlation Coefficient}
\label{sec:results_on_correlation_coefficient}
In the previous sections we showed that cooling and gradient flow provide results, which are equivalent for  the average action density and the topological susceptibility under  the perturbative rescaling of \eq{eq:perturbative_expression}. In this section, we examine the linear correlation coefficient for these
two procedures, defined as \par 
\begin{eqnarray}
c_{{\cal Q}_1(n_c) ,{{\cal Q}_2 (\tau)}}=\frac{\left\langle  \left( {\cal Q}_1 - {\overline {\cal Q}_1} \right) \left( {\cal Q}_{2} - {\overline {\cal Q}_{2}} \right)  \right\rangle}{\sqrt{\left\langle  \left( {\cal Q}_{1} - {\overline {\cal Q}_{1}} \right)^2  \right\rangle \left\langle  \left( {\cal Q}_{2} - {\overline {\cal Q}_{2}} \right)^2  \right\rangle}}\, ,
\label{eq:correlation_coefficient}
\eea 
where  $\{ {\cal Q}_1 (n_c) \}$ and $\{ {\cal Q}_2 (n_c) \}$ are the two sets of values of the topological charge obtained using cooling at $n_c$ and gradient flow at $\tau$ respectively on the same gauge configurations. This implies that $c_{{\cal Q}_1(n_c) ,{{\cal Q}_2 (\tau)}}$ is a matrix of size $n_c \times \tau$. The question we would like to answer in this section is  the level of correlation between sets of topological charges extracted via cooling and gradient flow using the same action. For this discussion we
employ the  topological charge using  the improved definition. The results for the other two definitions are similar.
\begin{figure}[h!]
\centerline{ \scalebox{0.70}{\input{correlation_coefficient_Wilson.tex}\put(-250,80){\Large Wilson}} \hspace{-3.98cm} \scalebox{0.70}{\input{correlation_coefficient_Symanzik.tex}\put(-250,80){\Large  Symanzik tree-level}} \hspace{-3.98cm} \scalebox{0.70}{\input{correlation_coefficient_Iwasaki.tex}\put(-250,80){\Large Iwasaki}}}
\caption{\label{fig:correlation_coefficient} The diagonal elements of the correlation coefficient $c_{{\cal Q}_1(n_c), {\cal Q}_2(\tau)}$ defined in \eq{eq:correlation_coefficient} for the Wilson, Symanzik tree-level improved and Iwasaki  actions respectively  for $\beta=1.90$, $\beta=1.95$ and $\beta=2.10$. We consider the topological charge extracted using the improved definition.}
\end{figure}
 In~\fig{fig:correlation_coefficient} we represent results for the correlation coefficient using  the three  actions for our three ensembles. 

We show the diagonal elements (for $n_c=(3-15 c_1) \tau$) of the correlation coefficient matrix $c_{ {\cal Q}_1(n_c), {\cal Q}_2 (\tau)}$ when $n_c$ and $\tau$ are matched with the perturbative expression~\eq{eq:perturbative_expression}. When the Wilson action is used, we observe that   for $n_c>1$ and as we increase $n_c$ the coefficient drops till  it reaches a nearly stable value ($n_c > 10-20$). This value is approximately $\sim$93.5\% for $\beta=1.90$, $\sim$95\% for $\beta=1.95$ and $\sim$98\% for $\beta=2.10$. Clearly, as $a \to 0$ the correlation coeffient approaches  unity. This indicates that the correspondence between cooling and gradient flow  has a well--defined continuum limit.
A similar behavior is observed when  the Symanzik tree-level improved action is used obtaining $\sim$93\% for $\beta=1.90$, $\sim$95\% for $\beta=1.95$ and $\sim$97.5\% for $\beta=2.10$. Finally and likewise when the Iwasaki smoothing action is used the level of correlation is  $\sim$92.5\% for $\beta=1.90$, $\sim$94\% for $\beta=1.95$ and $\sim$96.5\% for $\beta=2.10$. \par
\begin{figure}[h!]
\vspace{-0.5cm}
\centerline{ \scalebox{0.95}{\input{plot3d_Wilson.tex}\put(-260,220){\Large Wilson}\put(-260,52){\line(1,1){158}}} \hspace{-3.75cm} \scalebox{0.95}{\input{plot3d_Symanzik}\put(-260,220){\Large  Symanzik tree-level}\put(-260,52){\line(1,1){158}}}}
\vspace{-0.5cm}
\caption{\label{fig:correlation_coefficient_3d} The correlation coefficient matrices $c_{ {\cal Q}_1 (n_c){\cal Q}_2 (\tau)}$ for the Wilson and Symanzik tree-level improved action. We consider topological charge extracted for $\beta=1.95$ and the improved definition of the topological charge density.}
\end{figure}
In \fig{fig:correlation_coefficient_3d} we provide density plots for the full correlation coefficient matrix $c_{ {\cal Q}_1 (n_c) {\cal Q}_2 (\tau)}$ for the Wilson and Symanzik tree-level improved actions obtained when the improved topological charge is employed for $\beta=1.95$. When excluding the very first cooling steps (e.g. $n_c \lesssim 10$), the matrix $c_{ {\cal Q}_1 {\cal Q}_2}$ appears to be nearly diagonal with the diagonal line denoting the equation $n_c = (3-15 c_1) \tau$. This behavior is more pronounced for the case of the Wilson and Symanzik tree-level improved actions. 
Thus these results corroborate the fact that cooling the gauge configurations with $n_c$ steps has almost the same effect as evolving these configurations via gradient flow for $\tau=n_c/(3-15 c_1)$. We expect that at the continuum limit the corresponding distributions become perfectly diagonal with the maximum along the diagonal and corresponding to a correlation coefficient of 100\%.\par
\section{Conclusions}
\label{sec:conclusions}
In this article we provide a comparison of the results on observables such as the topological charge and the susceptibility obtained using gradient flow or cooling. It extends the analysis of Ref.~\cite{Bonati:2014tqa} to include  gauge actions with  rectangular terms. The comparison is realized both analytically in perturbation theory and numerically.
 For our analytic analysis we follow the perturbative
treatment of Ref.~\cite{Bonati:2014tqa}, which was performed for the Wilson action
and we show how to generalize it  to Symanzik improved actions with rectangular parts. More specifically, we derive the corresponding relation between the continuous gradient flow time $\tau$ and the number of the discrete cooling steps $n_c$ by expanding the flow steps  perturbatively including terms up to ${\cal O}(a)$. The relation we obtain is $\tau \simeq n_c/(3-15 c_1)$ where $c_1$ is the coefficient which multiplies the rectangular term in the gauge action. This becomes exact as $a \to 0$ and does not depend on the details of the gauge group; although this is derived for $SU(2)$ the generalization to $SU(3)$ is straight forward.
For the numerical results  we use configurations produced with $N_f=2+1+1$ twisted mass fermions and the Iwasaki gauge action.  Although strictly  speaking
the relation we derived is valid only as $a\to 0$, we  confirm numerically that the  action density, used as a common scale, coincides for both procedures. \par


 By investigating the time histories of the topological charge we observe that these behave in the same manner for both smoothing procedures indicating
equivalence between them.  The histograms of the  topological charge distributions for fixed $n_c$ and $\tau \sim n_c/(3-15 n_c)$  are almost the same for both smoothers and approximately Gaussian having the same width. This 
 already suggests an equivalence for the topological susceptibility, which is 
confirmed by calculating the topological susceptibility $\chi$ for all three lattice definitions of the topological charge density as a function of the smoothing scale and the average action for both smoothers. This enables us to demonstrate that after a very few cooling steps $n_c \sim 2$ the topological susceptibility for gradient flow and cooling become equivalent; this holds for all tested smoothing actions and all lattice definitions of the topological charge.     


Finally we look at the correlation coefficient, which can be used to reveal  similarities between the different definitions of the topological charge.  We observe maximum correlation  for gauge configurations that have been smoothed via gradient flow or cooling according to the relation  $\tau \simeq n_c/(3-15 c_1)$.
In addition, we observe that  after a few cooling steps the correlation coefficient becomes stable with  increasing value  towards the unity as we 
approach the continuum limit (decreasing the lattice spacing). For instance already for our finest lattice with $\beta=2.10$ the correlation coefficient is $\sim 98 \%$, $\sim 97.5 \%$ and $\sim 96.5 \%$ when smoothing with Wilson, Symanzik tree-level improved and Iwasaki action, respectively. \par

The main conclusion of this study is that  one can use  cooling or the gradient flow in order to extract the topological properties of configurations smoothed with gauge actions, which include square and rectangular terms. This equivalence is manifested by using the relation $\tau=n_c/(3-15c_1)$ derived in perturbation theory. In practice, this means that one may opt to use cooling to extract the topological charge ${\cal Q}$. An approximate comparison between the gradient flow time $\tau$ with integration step $\epsilon=0.01$ and cooling step $n_c$ for an action, which includes rectangular terms gives ${\rm cpu}\_{\rm time}(\tau=1)/{\rm cpu}\_{\rm time}(n_c=1) \simeq 160$. Hence, for the Symanzik tree-level improved action, gradient flow is slower than cooling by a factor of $\sim 38$ while for the Iwasaki action by $\sim 20$. These estimates depend on the integrator used for the gradient flow and the integration step $\epsilon$. The speed-up cooling gives in comparison to gradient flow is $O(10)$ and this could decrease the computational cost by the same factor in investigations where one is mainly interested in the topological susceptibility and where a large number of configurations is required. \par

\section*{Acknowledgments}
We would like to thank all members of ETMC for the most enjoyable collaboration. Numerical calculations have used HPC resources from John von Neumann-Institute for Computing on the JUQUEEN and JUROPA systems at the research center in J\"ulich. Additional computational resources were provided by the Cy-Tera machine at The Cyprus Institute funded by the Cyprus Research Promotion Foundation (RPF), ${\rm NEAY\Pi O \Delta OMH}$/${\Sigma}$TPATH/0308/31. A.A is indebted to K.~Cichy, B.~Lucini, H.~Panagopoulos and M.~Teper for enlighting discussions on topology, and A.~Ramos for usefull discussions on the implementation of the gradient flow. A.~A. acknowledges the hospitality of the Cyprus Institute where part of this work was carried out.

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\bibitem{AliKhan:2001ym}
A.~Ali Khan {\it et al.} [CP-PACS Collaboration], {\it ``Topological susceptibility in lattice QCD with two flavors of dynamical quarks''}, Phys.\ Rev.\ D {\bf 64} (2001) 114501 [hep-lat/0106010].

\bibitem{Cabibbo:1982zn}
N.~Cabibbo and E.~Marinari, {\it ``A new method for updating $SU(N)$ matrices in computer simulations of gauge theories''}, Phys.\ Lett.\ B {\bf 119} (1982) 387.

\bibitem{Morningstar:2003gk}
C.~Morningstar and M.~J.~Peardon, {\it ``Analytic Smearing of $SU(3)$ Link Variables in Lattice QCD''}, Phys.\ Rev.\ D {\bf 69} (2004) 054501 [hep-lat/0311018].

\bibitem{Albanese:1987ds}
  M.~Albanese {\it et al.} [APE Collaboration], {\it ``Glueball Masses and String Tension in Lattice QCD''}, Phys.\ Lett.\ B {\bf 192} (1987) 163.

\bibitem{Bonnet:2000dc}
F.~D.~R.~Bonnet, P.~Fitzhenry, D.~B.~Leinweber, M.~R.~Stanford and A.~G.~Williams, {\it ``Calibration of smearing and cooling algorithms in SU(3): Color gauge theory''}, Phys.\ Rev.\ D {\bf 62} (2000) 094509 [hep-lat/0001018].

\bibitem{Hasenfratz:2001hp}
  A.~Hasenfratz and F.~Knechtli, {\it ``Flavor symmetry and the static potential with hypercubic blocking''}, Phys.\ Rev.\ D {\bf 64} (2001) 034504 [hep-lat/0103029].

\bibitem{Durr:2006ky}
S.~Durr, Z.~Fodor, C.~Holbling and T.~Kurth, {\it ``Precision study of the SU(3) topological susceptibility in the continuum''}, JHEP {\bf 0704} (2007) 055 [hep-lat/0612021].

\bibitem{Moran:2008ra}
P.~J.~Moran and D.~B.~Leinweber, {\it ``Over-improved stout-link smearing''}, Phys.\ Rev.\ D {\bf 77} (2008) 094501 [arXiv:0801.1165 [hep-lat]].

\bibitem{Alexandrou:topology}
C.~Alexandrou {\it et al.}, {\it in preparation}

\bibitem{GarciaPerez:1993ki}
M.~Garcia Perez, A.~Gonzalez-Arroyo, J.~R.~Snippe and P.~van Baal, {\it ``Instantons from over-improved cooling''}, Nucl.\ Phys.\ B {\bf 413} (1994) 535 [hep-lat/9309009].  

\bibitem{Cundy:2002hv}
N. Cundy, M. Teper and U. Wenger, {\it ``Topology and chiral symmetry breaking in $SU(N)$ gauge theories''}, Phys.\ Rev.\ D {\bf 66} (2002) 094505 [hep-lat/0203030].

\bibitem{Sommer:2014}
M.~Bruno {\it et al.} [ALPHA Collaboration], {\it ``Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations''}, JHEP {\bf 1408} (2014) 150 [arXiv:1406.5363 [hep-lat]].

\bibitem{Cichy:2013rra}
  K.~Cichy {\it et al.} [ETM Collaboration], {\it ``Topological susceptibility from the twisted mass Dirac operator spectrum,''}, JHEP {\bf 1402} (2014) 119 [arXiv:1312.5161 [hep-lat]].

\bibitem{Engel:2014eea}
  G.~P.~Engel, L.~Giusti, S.~Lottini and R.~Sommer, {\it ``Spectral density of the Dirac operator in two-flavor QCD,''}, Phys.\ Rev.\ D {\bf 91} (2015) 5, 054505 [arXiv:1411.6386 [hep-lat]].


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\end{document}

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{Morningstar:2003gk C.~Morningstar and M.~J.~Peardon, {``Analytic Smearing of $SU(3)$ Link Variables in Lattice QCD'', Phys.\ Rev.\ D {69 (2004) 054501 [hep-lat/0311018].
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{Bonnet:2000dc F.~D.~R.~Bonnet, P.~Fitzhenry, D.~B.~Leinweber, M.~R.~Stanford and A.~G.~Williams, {``Calibration of smearing and cooling algorithms in SU(3): Color gauge theory'', Phys.\ Rev.\ D {62 (2000) 094509 [hep-lat/0001018].
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{Hasenfratz:2001hp A.~Hasenfratz and F.~Knechtli, {``Flavor symmetry and the static potential with hypercubic blocking'', Phys.\ Rev.\ D {64 (2001) 034504 [hep-lat/0103029].
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{Durr:2006ky S.~Durr, Z.~Fodor, C.~Holbling and T.~Kurth, {``Precision study of the SU(3) topological susceptibility in the continuum'', JHEP {0704 (2007) 055 [hep-lat/0612021].
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{Moran:2008ra P.~J.~Moran and D.~B.~Leinweber, {``Over-improved stout-link smearing'', Phys.\ Rev.\ D {77 (2008) 094501 [arXiv:0801.1165 [hep-lat]].
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