Content-Type: multipart/mixed; boundary="-------------9810140952327" This is a multi-part message in MIME format. ---------------9810140952327 Content-Type: text/plain; name="98-645.comments" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="98-645.comments" This paper is available in French, search for prepublication 432 at/ Ce travail est aussi disponible en fran ais, cherchez la pr publication 432 l'URL: http://www-fourier.ujf-grenoble.fr/PREP/prep.html ---------------9810140952327 Content-Type: text/plain; name="98-645.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="98-645.keywords" eigenvalues, scattering matrix, Bohr-Sommerfeld conditions, semi-classics, saddle point, Morse lemma. ---------------9810140952327 Content-Type: application/postscript; name="bs1.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="bs1.ps" %!PS-Adobe-2.0 %%Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software %%Title: bs1.dvi %%Pages: 46 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentPaperSizes: Letter %%EndComments %DVIPSCommandLine: dvips bs1 -o bs1.ps %DVIPSParameters: dpi=600, comments removed %DVIPSSource: TeX output 1998.10.08:1447 %%BeginProcSet: tex.pro /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72 mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1} ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if} forall round exch round exch]setmatrix}N /@landscape{/isls true N}B /@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies X}B /FMat[1 0 0 -1 0 0]N /FBB[0 0 0 0]N /nn 0 N /IE 0 N /ctr 0 N /df-tail{ /nn 8 dict N nn begin /FontType 3 N /FontMatrix fntrx N /FontBBox FBB N string /base X array /BitMaps X /BuildChar{CharBuilder}N /Encoding IE N end dup{/foo setfont}2 array copy cvx N load 0 nn put /ctr 0 N[}B /df{ /sf 1 N /fntrx FMat N df-tail}B /dfs{div /sf X /fntrx[sf 0 0 sf neg 0 0] N df-tail}B /E{pop nn dup definefont setfont}B /ch-width{ch-data dup length 5 sub get}B /ch-height{ch-data dup length 4 sub get}B /ch-xoff{ 128 ch-data dup length 3 sub get sub}B /ch-yoff{ch-data dup length 2 sub get 127 sub}B /ch-dx{ch-data dup length 1 sub get}B /ch-image{ch-data dup type /stringtype ne{ctr get /ctr ctr 1 add N}if}B /id 0 N /rw 0 N /rc 0 N /gp 0 N /cp 0 N /G 0 N /sf 0 N /CharBuilder{save 3 1 roll S dup /base get 2 index get S /BitMaps get S get /ch-data X pop /ctr 0 N ch-dx 0 ch-xoff ch-yoff ch-height sub ch-xoff ch-width add ch-yoff setcachedevice ch-width ch-height true[1 0 0 -1 -.1 ch-xoff sub ch-yoff .1 sub]{ch-image}imagemask restore}B /D{/cc X dup type /stringtype ne{]} if nn /base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{dup dup length 1 sub dup 2 index S get sf div put}if put /ctr ctr 1 add N}B /I{ cc 1 add D}B /bop{userdict /bop-hook known{bop-hook}if /SI save N @rigin 0 0 moveto /V matrix currentmatrix dup 1 get dup mul exch 0 get dup mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N /eop{SI restore userdict /eop-hook known{eop-hook}if showpage}N /@start{userdict /start-hook known{start-hook}if pop /VResolution X /Resolution X 1000 div /DVImag X /IE 256 array N 0 1 255{IE S 1 string dup 0 3 index put cvn put}for 65781.76 div /vsize X 65781.76 div /hsize X}N /p{show}N /RMat[1 0 0 -1 0 0]N /BDot 260 string N /rulex 0 N /ruley 0 N /v{/ruley X /rulex X V}B /V {}B /RV statusdict begin /product where{pop product dup length 7 ge{0 7 getinterval dup(Display)eq exch 0 4 getinterval(NeXT)eq or}{pop false} ifelse}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale rulex ruley false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR rulex ruley scale 1 1 false RMat{BDot}imagemask grestore}}ifelse B /QV{gsave newpath transform round exch round exch itransform moveto rulex 0 rlineto 0 ruley neg rlineto rulex neg 0 rlineto fill grestore}B /a{moveto}B /delta 0 N /tail {dup /delta X 0 rmoveto}B /M{S p delta add tail}B /b{S p tail}B /c{-4 M} B /d{-3 M}B /e{-2 M}B /f{-1 M}B /g{0 M}B /h{1 M}B /i{2 M}B /j{3 M}B /k{ 4 M}B /w{0 rmoveto}B /l{p -4 w}B /m{p -3 w}B /n{p -2 w}B /o{p -1 w}B /q{ p 1 w}B /r{p 2 w}B /s{p 3 w}B /t{p 4 w}B /x{0 S rmoveto}B /y{3 2 roll p a}B /bos{/SS save N}B /eos{SS restore}B end %%EndProcSet %%BeginProcSet: special.pro TeXDict begin /SDict 200 dict N SDict begin /@SpecialDefaults{/hs 612 N /vs 792 N /ho 0 N /vo 0 N /hsc 1 N /vsc 1 N /ang 0 N /CLIP 0 N /rwiSeen false N /rhiSeen false N /letter{}N /note{}N /a4{}N /legal{}N}B /@scaleunit 100 N /@hscale{@scaleunit div /hsc X}B /@vscale{@scaleunit div /vsc X}B /@hsize{/hs X /CLIP 1 N}B /@vsize{/vs X /CLIP 1 N}B /@clip{ /CLIP 2 N}B /@hoffset{/ho X}B /@voffset{/vo X}B /@angle{/ang X}B /@rwi{ 10 div /rwi X /rwiSeen true N}B /@rhi{10 div /rhi X /rhiSeen true N}B /@llx{/llx X}B /@lly{/lly X}B /@urx{/urx X}B /@ury{/ury X}B /magscale true def end /@MacSetUp{userdict /md known{userdict /md get type /dicttype eq{userdict begin md length 10 add md maxlength ge{/md md dup length 20 add dict copy def}if end md begin /letter{}N /note{}N /legal{} N /od{txpose 1 0 mtx defaultmatrix dtransform S atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{itransform lineto} }{6 -2 roll transform 6 -2 roll transform 6 -2 roll transform{ itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll curveto}}{{ closepath}}pathforall newpath counttomark array astore /gc xdf pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack}if}N /txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1 -1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop 90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr 2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4 -1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S TR}if}N /cp {pop pop showpage pm restore}N end}if}if}N /normalscale{Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale}if 0 setgray} N /psfts{S 65781.76 div N}N /startTexFig{/psf$SavedState save N userdict maxlength dict begin /magscale true def normalscale currentpoint TR /psf$ury psfts /psf$urx psfts /psf$lly psfts /psf$llx psfts /psf$y psfts /psf$x psfts currentpoint /psf$cy X /psf$cx X /psf$sx psf$x psf$urx psf$llx sub div N /psf$sy psf$y psf$ury psf$lly sub div N psf$sx psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub TR /showpage{}N /erasepage{}N /copypage{}N /p 3 def @MacSetUp}N /doclip{ psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath moveto}N /endTexFig{end psf$SavedState restore}N /@beginspecial{SDict begin /SpecialSave save N gsave normalscale currentpoint TR @SpecialDefaults count /ocount X /dcount countdictstack N}N /@setspecial {CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR }{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury lineto closepath clip}if /showpage{}N /erasepage{}N /copypage{}N newpath }N /@endspecial{count ocount sub{pop}repeat countdictstack dcount sub{ end}repeat grestore SpecialSave restore end}N /@defspecial{SDict begin} N /@fedspecial{end}B /li{lineto}B /rl{rlineto}B /rc{rcurveto}B /np{ /SaveX currentpoint /SaveY X N 1 setlinecap newpath}N /st{stroke SaveX SaveY moveto}N /fil{fill SaveX SaveY moveto}N /ellipse{/endangle X /startangle X /yrad X /xrad X /savematrix matrix currentmatrix N TR xrad yrad scale 0 0 1 startangle endangle arc savematrix setmatrix}N end %%EndProcSet TeXDict begin 40258431 52099146 1000 600 600 (bs1.dvi) @start /Fa 28 123 df<00001F00000000001F00000000003F80000000003F80000000 003F80000000003F80000000003F80000000003F80000000003F80000000003F80000000 003F80000000003F80000000003F80000000003F80000000003F80000000003F80000000 003F80000000003F8000007FFFFFFFFF807FFFFFFFFF80FFFFFFFFFFC0FFFFFFFFFFC0FF FFFFFFFFC07FFFFFFFFF807FFFFFFFFF8000003F80000000003F80000000003F80000000 003F80000000003F80000000003F80000000003F80000000003F80000000003F80000000 003F80000000003F80000000003F80000000003F80000000003F80000000003F80000000 003F80000000001F00000000001F0000002A2B7CB333>43 D<7FFFFFFFFE7FFFFFFFFEFF FFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFE7FFFFFFFFE28077BA133>45 D<1F003F807FC0FFE0FFE0FFE0FFE0FFE07FC03F801F000B0B6C8A33>I<000000007800 000000F800000001FC00000001FC00000003FC00000003FC00000007F800000007F80000 000FF00000000FF00000001FE00000001FE00000001FC00000003FC00000003FC0000000 7F800000007F80000000FF00000000FF00000001FE00000001FE00000001FC00000003FC 00000003FC00000007F800000007F80000000FF00000000FF00000001FE00000001FE000 00001FC00000003FC00000003FC00000007F800000007F80000000FF00000000FF000000 01FE00000001FE00000001FC00000003FC00000003FC00000007F800000007F80000000F F00000000FF00000000FE00000001FE00000001FE00000003FC00000003FC00000007F80 0000007F80000000FF00000000FF00000000FE00000001FE00000001FE00000003FC0000 0003FC00000007F800000007F80000000FF00000000FF00000000FE00000001FE0000000 1FE00000003FC00000003FC00000007F800000007F80000000FF00000000FF00000000FE 00000000FE000000007C000000007C00000000264D7AC433>I<1F003F807FC0FFE0FFE0 FFE0FFE0FFE07FC03F801F00000000000000000000000000000000000000000000000000 0000000000000000000000000000000000001F003F807FC0FFE0FFE0FFE0FFE0FFE07FC0 3F801F000B2B6CAA33>58 D<00001F80000000003FC0000000007FE0000000007FE00000 00007FE000000000FFF000000000FFF000000000FFF000000000F9F000000001F9F80000 0001F9F800000001F9F800000001F9F800000001F9F800000003F9FC00000003F9FC0000 0003F0FC00000003F0FC00000007F0FE00000007F0FE00000007F0FE00000007F0FE0000 0007E07E0000000FE07F0000000FE07F0000000FE07F0000000FE07F0000001FC03F8000 001FC03F8000001FC03F8000001FC03F8000001FC03F8000003F801FC000003F801FC000 003F801FC000003F801FC000007F801FE000007F000FE000007F000FE000007FFFFFE000 007FFFFFE00000FFFFFFF00000FFFFFFF00000FFFFFFF00000FFFFFFF00001FE0007F800 01FC0003F80001FC0003F80001FC0003F80001FC0003F80003FC0003FC0003F80001FC00 03F80001FC0003F80001FC0007F80001FE0007F00000FE007FFF000FFFE0FFFF801FFFF0 FFFFC03FFFF0FFFFC03FFFF0FFFF801FFFF07FFF000FFFE02C3E7DBD33>65 D<00001FE007800000FFFC07C00003FFFF0FC0000FFFFF8FC0001FFFFFFFC0003FFFFFFF C0007FF81FFFC000FFC007FFC001FF8003FFC003FE0001FFC003FC0000FFC007F80000FF C007F800007FC00FF000007FC00FE000003FC01FE000003FC01FC000003FC03FC000001F C03F8000001FC03F8000001FC07F8000001FC07F0000000F807F00000000007F00000000 00FF0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE00000000 00FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE00000000 00FE0000000000FE0000000000FF00000000007F00000000007F00000000007F00000000 007F8000000F803F8000001FC03F8000001FC03FC000001FC01FC000001FC01FE000001F C00FE000003FC00FF000003F8007F800003F8007F800007F8003FC0000FF0003FE0000FF 0001FF8003FE0000FFC007FC00007FF81FF800003FFFFFF000001FFFFFE000000FFFFFC0 000003FFFF00000000FFFC000000001FE000002A3F7CBD33>67 D<3FFFFFFF807FFFFFFF C0FFFFFFFFE0FFFFFFFFE07FFFFFFFC03FFFFFFF800003F800000003F800000003F80000 0003F800000003F800000003F800000003F800000003F800000003F800000003F8000000 03F800000003F800000003F800000003F800000003F800000003F800000003F800000003 F800000003F800000003F800000003F800000003F800000003F800000003F800000003F8 00000003F800000003F800000003F800000003F800000003F800000003F800000003F800 000003F800000003F800000003F800000003F800000003F800000003F800000003F80000 0003F800000003F800000003F800000003F800000003F800000003F800000003F8000000 03F800000003F800000003F800003FFFFFFF807FFFFFFFC0FFFFFFFFE0FFFFFFFFE07FFF FFFFC03FFFFFFF80233D78BC33>73 D<3FFFFFFC00007FFFFFFF8000FFFFFFFFE000FFFF FFFFF8007FFFFFFFFC003FFFFFFFFE0001FC000FFF0001FC0003FF8001FC0000FF8001FC 00007FC001FC00003FC001FC00001FE001FC00000FE001FC00000FE001FC00000FF001FC 000007F001FC000007F001FC000007F001FC000007F001FC000007F001FC000007F001FC 00000FF001FC00000FE001FC00000FE001FC00001FE001FC00003FC001FC00007FC001FC 0000FF8001FC0003FF8001FC000FFF0001FFFFFFFE0001FFFFFFFC0001FFFFFFF80001FF FFFFE00001FFFFFF800001FFFFFC000001FC0000000001FC0000000001FC0000000001FC 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC 0000000001FC0000000001FC0000000001FC000000003FFFE00000007FFFF0000000FFFF F8000000FFFFF80000007FFFF00000003FFFE00000002C3D7EBC33>80 D<7FFFFF800000FFFFFFF80000FFFFFFFE0000FFFFFFFF0000FFFFFFFF80007FFFFFFFC0 0003F800FFE00003F8003FF00003F8000FF80003F80007F80003F80003FC0003F80001FC 0003F80001FC0003F80000FE0003F80000FE0003F80000FE0003F80000FE0003F80000FE 0003F80000FE0003F80000FE0003F80001FC0003F80001FC0003F80003FC0003F80007F8 0003F8000FF80003F8003FF00003F800FFE00003FFFFFFC00003FFFFFF800003FFFFFF00 0003FFFFFE000003FFFFFF000003FFFFFF800003F800FFC00003F8003FC00003F8001FE0 0003F8000FE00003F8000FF00003F80007F00003F80007F00003F80007F00003F80007F0 0003F80007F00003F80007F00003F80007F00003F80007F00003F80007F00003F80007F0 0003F80007F03E03F80007F07F03F80007F07F03F80007F07F03F80007F07F03F80007F8 7F03F80003F8FF7FFFC003F8FEFFFFE001FFFEFFFFE001FFFCFFFFE000FFFCFFFFE0007F F87FFFC0003FF0000000000FC0303E7EBC33>82 D<001FFC00000000FFFF80000003FFFF E0000007FFFFF000000FFFFFFC00001FFFFFFE00001FF007FF00001FE001FF00001FE000 FF80001FE0003F80000FC0003FC0000780001FC0000000001FE0000000000FE000000000 0FE0000000000FE0000000000FE0000000000FE00000000FFFE0000001FFFFE000001FFF FFE000007FFFFFE00001FFFFFFE00007FFFF0FE0000FFFC00FE0001FFC000FE0003FF000 0FE0007FC0000FE0007F80000FE000FF00000FE000FE00000FE000FE00000FE000FE0000 0FE000FE00000FE000FE00000FE000FF00001FE0007F00001FE0007F80007FE0003FE000 FFF0003FF807FFFFF01FFFFFFFFFF80FFFFFFFFFF807FFFFF3FFF803FFFFC1FFF800FFFF 003FF0001FF00000002D2E7BAC33>97 D<3FFC000000007FFE00000000FFFE00000000FF FE000000007FFE000000003FFE0000000000FE0000000000FE0000000000FE0000000000 FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000 FE0000000000FE0000000000FE01FE000000FE0FFFC00000FE1FFFF00000FE7FFFF80000 FEFFFFFE0000FFFFFFFF0000FFFE07FF0000FFF800FF8000FFE0007FC000FFC0003FE000 FF80001FE000FF80000FF000FF00000FF000FF000007F000FE000007F800FE000003F800 FE000003F800FE000003FC00FE000001FC00FE000001FC00FE000001FC00FE000001FC00 FE000001FC00FE000001FC00FE000001FC00FE000001FC00FE000001FC00FE000003FC00 FE000003F800FE000003F800FF000007F800FF000007F000FF80000FF000FF80000FE000 FFC0001FE000FFC0003FC000FFE0007FC000FFF801FF8000FFFE07FF0000FFFFFFFE0000 FEFFFFFC0000FE7FFFF800007E3FFFE000003C0FFF8000000003FE00002E3E7FBC33>I< 0000FF80000007FFF000001FFFFC00003FFFFE0000FFFFFF0001FFFFFF8003FF80FFC007 FE003FE007F8000FF00FF00007F01FE00007F81FC00003F83FC00003FC3F800001FC7F80 0001FC7F000001FC7F000001FE7F000000FEFF000000FEFE000000FEFFFFFFFFFEFFFFFF FFFEFFFFFFFFFEFFFFFFFFFEFFFFFFFFFEFFFFFFFFFCFE00000000FF000000007F000000 007F000000007F000000003F800000003F8000007C1FC00000FE1FE00000FE0FF00000FE 0FF80001FE07FC0003FC03FF000FFC01FFC03FF800FFFFFFF0007FFFFFE0003FFFFFC000 0FFFFF000003FFFC0000007FE000272E7BAC33>101 D<0000003FE0000001FFFC000007 FFFE00001FFFFE00003FFFFF00007FFFFF0000FFC0FF0000FF00FF0001FE007E0001FC00 3C0003FC00000003F800000003F800000003F800000003F800000003F800000003F80000 0003F800000003F800003FFFFFFFF87FFFFFFFFCFFFFFFFFFCFFFFFFFFFCFFFFFFFFFC7F FFFFFFF80003F800000003F800000003F800000003F800000003F800000003F800000003 F800000003F800000003F800000003F800000003F800000003F800000003F800000003F8 00000003F800000003F800000003F800000003F800000003F800000003F800000003F800 000003F800000003F800000003F800000003F800000003F800000003F800000003F80000 0003F800000003F800000003F800003FFFFFFF807FFFFFFFC07FFFFFFFC07FFFFFFFC07F FFFFFFC03FFFFFFF80283E7DBD33>I<0001FE001FE0000FFFC0FFF0003FFFF3FFF8007F FFFFFFFC00FFFFFFFFFC01FFFFFFFFFC03FF03FFE1FC07FC00FF80F807F8007F80600FF0 003FC0000FE0001FC0000FE0001FC0001FE0001FE0001FC0000FE0001FC0000FE0001FC0 000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FE0001FE0000FE0001FC0000FE0 001FC0000FF0003FC00007F8007F800007FC00FF800003FF03FF000003FFFFFE000007FF FFFC000007FFFFF8000007FFFFF000000FCFFFC000000F81FE0000000F80000000000F80 000000000FC0000000000FC00000000007E00000000007F00000000007FFFFFC000003FF FFFFC00001FFFFFFF00007FFFFFFFC000FFFFFFFFF001FFFFFFFFF801FE00007FF803FC0 00007FC03F0000001FE07F0000000FE07E00000007E0FE00000007F0FC00000003F0FC00 000003F0FC00000003F0FC00000003F0FC00000003F0FE00000007F07E00000007E07F00 00000FE03F8000001FC03FE000007FC01FF80001FF800FFF801FFF0007FFFFFFFE0003FF FFFFFC0000FFFFFFF000003FFFFFC000000FFFFF00000000FFF000002E447DAB33>I<3F FC000000007FFE00000000FFFE00000000FFFE000000007FFE000000003FFE0000000000 FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000 FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE01FF000000 FE07FFC00000FE1FFFF00000FE7FFFF80000FEFFFFF80000FFFFFFFC0000FFFF07FE0000 FFF801FE0000FFF000FE0000FFE000FF0000FFC0007F0000FF80007F0000FF80007F0000 FF00007F0000FF00007F0000FF00007F0000FE00007F0000FE00007F0000FE00007F0000 FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000 FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000 FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000 FE00007F003FFFF80FFFFC7FFFFC1FFFFEFFFFFE3FFFFFFFFFFE3FFFFF7FFFFC1FFFFE3F FFF80FFFFC303D7FBC33>I<0000E000000003F800000003F800000007FC00000007FC00 000007FC00000003F800000003F800000000E00000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000000003F FFF800007FFFFC00007FFFFC00007FFFFC00007FFFFC00003FFFFC00000001FC00000001 FC00000001FC00000001FC00000001FC00000001FC00000001FC00000001FC00000001FC 00000001FC00000001FC00000001FC00000001FC00000001FC00000001FC00000001FC00 000001FC00000001FC00000001FC00000001FC00000001FC00000001FC00000001FC0000 0001FC00000001FC00000001FC00000001FC00000001FC00000001FC00000001FC000000 01FC00007FFFFFFFC0FFFFFFFFE0FFFFFFFFF0FFFFFFFFF0FFFFFFFFE07FFFFFFFC0243E 78BD33>I<00000070000001FC000001FC000003FE000003FE000003FE000001FC000001 FC0000007000000000000000000000000000000000000000000000000000000000000000 000000000000000000003FFFFC007FFFFE00FFFFFE00FFFFFE007FFFFE003FFFFE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000001 FE000001FC000001FC180001FC7E0003F87E0007F8FF0007F0FF000FF0FF803FE0FFFFFF C07FFFFF803FFFFF001FFFFE000FFFF80001FFE0001F557BBD33>I<3FFFFC00007FFFFE 0000FFFFFE0000FFFFFE00007FFFFE00003FFFFE00000000FE00000000FE00000000FE00 000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0000 0000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE000000 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000 FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE 00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00 000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0000 0000FE00000000FE00000000FE00003FFFFFFFF87FFFFFFFFCFFFFFFFFFEFFFFFFFFFE7F FFFFFFFC3FFFFFFFF8273D7ABC33>108 D<000001FF00003FFC07FFC0007FFE1FFFF000 FFFE7FFFF800FFFEFFFFF8007FFFFFFFFC003FFFFF07FE0000FFF801FE0000FFF000FE00 00FFE000FF0000FFC0007F0000FF80007F0000FF80007F0000FF00007F0000FF00007F00 00FF00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F00 00FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F00 00FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F00 00FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F003FFFF80FFFFC 7FFFFC1FFFFEFFFFFE3FFFFFFFFFFE3FFFFF7FFFFC1FFFFE3FFFF80FFFFC302C7FAB33> 110 D<0001FE0000000FFFC000003FFFF000007FFFF80000FFFFFC0001FFFFFE0003FF03 FF0007FC00FF800FF8007FC00FF0003FC01FE0001FE01FC0000FE03F800007F03F800007 F07F800007F87F000003F87F000003F87F000003F8FE000001FCFE000001FCFE000001FC FE000001FCFE000001FCFE000001FCFE000001FCFE000001FCFE000001FCFE000001FCFF 000003FC7F000003F87F000003F87F800007F83F800007F03FC0000FF03FC0000FF01FE0 001FE01FF0003FE00FF8007FC007FC00FF8003FF03FF0001FFFFFE0000FFFFFC00007FFF F800003FFFF000000FFFC0000001FE0000262E7AAC33>I<000001FE00003FFC0FFFC000 7FFE1FFFF000FFFE7FFFF800FFFEFFFFFE007FFFFFFFFF003FFFFE07FF0000FFF800FF80 00FFE0007FC000FFC0003FE000FF80001FE000FF80000FF000FF00000FF000FF000007F0 00FE000007F800FE000003F800FE000003F800FE000003FC00FE000001FC00FE000001FC 00FE000001FC00FE000001FC00FE000001FC00FE000001FC00FE000001FC00FE000001FC 00FE000001FC00FE000003FC00FE000003F800FE000003F800FF000007F800FF000007F0 00FF80000FF000FF80000FE000FFC0001FE000FFC0003FC000FFE0007FC000FFF801FF80 00FFFE07FF0000FFFFFFFE0000FEFFFFFC0000FE7FFFF80000FE3FFFE00000FE0FFF8000 00FE03FE000000FE0000000000FE0000000000FE0000000000FE0000000000FE00000000 00FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE00000000 00FE0000000000FE0000000000FE0000000000FE000000003FFFF80000007FFFFC000000 FFFFFE000000FFFFFE0000007FFFFC0000003FFFF80000002E427FAB33>I<00000003FE 007FFF801FFF80FFFFC07FFFE0FFFFC1FFFFE0FFFFC3FFFFF0FFFFC7FFFFF07FFFCFFE0F F0001FDFF00FF0001FFFC007E0001FFF8003C0001FFF000000001FFE000000001FFC0000 00001FF8000000001FF8000000001FF0000000001FF0000000001FE0000000001FE00000 00001FE0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC00000 00001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC00000 00001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC00000 00001FC00000007FFFFFFE0000FFFFFFFF0000FFFFFFFF0000FFFFFFFF0000FFFFFFFF00 007FFFFFFE00002C2C7DAB33>114 D<001FFE0F0000FFFF8F8003FFFFFF800FFFFFFF80 1FFFFFFF803FFFFFFF803FF007FF807F8001FF807F0000FF80FE00007F80FC00007F80FC 00003F80FC00003F80FC00003F80FE00003F807F00001F007FC00000003FF80000003FFF C000001FFFFF00000FFFFFE00003FFFFF80000FFFFFC00001FFFFF000000FFFF80000007 FFC00000007FC00000001FE07C00000FE0FE000007F0FE000003F0FE000003F0FF000003 F0FF000003F0FF800003F0FF800007F0FFC00007E0FFE0000FE0FFF0003FC0FFFE01FFC0 FFFFFFFF80FFFFFFFF00FDFFFFFE00FCFFFFF800F83FFFE0007807FF0000242E79AC33> I<0003C00000000007E0000000000FE0000000000FE0000000000FE0000000000FE00000 00000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE00000 003FFFFFFFFC007FFFFFFFFE00FFFFFFFFFE00FFFFFFFFFE00FFFFFFFFFE007FFFFFFFFC 00000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE00000 00000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE00000 00000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE00000 00000FE0000000000FE0000000000FE0000000000FE0001F00000FE0003F80000FE0003F 80000FE0003F80000FE0003F80000FE0003F80000FE0007F80000FF0007F000007F000FF 000007F801FF000007FE07FE000003FFFFFC000001FFFFF8000000FFFFF00000007FFFE0 0000001FFF8000000007FC000029387EB633>I<3FFC001FFE007FFE003FFF00FFFE007F FF00FFFE007FFF007FFE003FFF003FFE001FFF0000FE00007F0000FE00007F0000FE0000 7F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE0000 7F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE0000 7F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE0000 7F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE0000FF0000FE0000 FF0000FE0001FF0000FE0001FF0000FF0003FF00007F800FFF00007FE03FFFFC003FFFFF FFFE003FFFFFFFFF001FFFFF7FFF000FFFFE7FFE0003FFF83FFC0000FFC00000302C7FAA 33>I<7FFF8007FFF8FFFFC00FFFFCFFFFE01FFFFCFFFFE01FFFFCFFFFC00FFFFC7FFF80 07FFF80FC000000FC00FE000001FC007E000001F8007E000001F8007E000001F8007E000 001F8007E000001F8007F000003F8003F000003F0003F000003F0003F000003F0003F00F C03F0003F01FE03F0003F01FE03F0001F83FF07E0001F83FF07E0001F83FF07E0001F87F F87E0001F87CF87E0001F87CF87E0000F87CF87C0000FCFCFCFC0000FCFCFCFC0000FCFC FCFC0000FCF87CFC0000FCF87CFC00007CF87CF800007DF87EF800007DF03EF800007DF0 3EF800007FF03FF800007FF03FF800003FE01FF000003FE01FF000003FE01FF000003FC0 0FF000000F8007C0002E2B7EAA33>119 D<0FFFFFFFFF801FFFFFFFFFC03FFFFFFFFFC0 3FFFFFFFFFC03FFFFFFFFFC03FFFFFFFFF803F800000FF003F800001FE003F800003FC00 3F800007F8003F80000FF0001F00001FE0000000003FC0000000007F8000000000FF0000 000001FE0000000003FC0000000007F8000000000FF0000000001FE0000000003FC00000 00007F8000000000FF0000000001FE0000000003FC0000000007F8000000000FF0000000 001FE0000000003FC0000000007F8000000000FF00000F8001FE00001FC003FC00001FC0 07F800001FC00FF000001FC01FE000001FC03FC000001FC07FFFFFFFFFC0FFFFFFFFFFC0 FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC07FFFFFFFFF802A2B7DAA33>122 D E /Fb 4 52 df<00000E00000000000E00000000000E00000000000E00000000000E00 000000000E00000000000E00000000000E00000000000E00000000000E00000000000E00 000000000E00000000000E00000000000E00000000000E00000000000E00000000000E00 000000000E00000000000E00000000000E000000FFFFFFFFFFE0FFFFFFFFFFE0FFFFFFFF FFE000000E00000000000E00000000000E00000000000E00000000000E00000000000E00 000000000E00000000000E00000000000E00000000000E00000000000E00000000000E00 000000000E00000000000E00000000000E00000000000E00000000000E00000000000E00 000000000E00000000000E0000002B2B7DA333>43 D<00380000780001F8001FF800FEF8 00E0F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F8 0000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F8 0000F80000F80000F80000F80000F80000F80001FC00FFFFF8FFFFF815267BA521>49 D<00FF000003FFE0000E03F0001800F80030007C0060007E0078003F00FC003F00FE001F 80FE001F80FE001F80FE001F807C001F8000001F8000001F0000003F0000003E0000007E 0000007C000000F8000001F0000003E0000003C00000078000000E0000001C0000003800 000070018000E001800180018003000300060003000C0003001FFFFF003FFFFF007FFFFE 00FFFFFE00FFFFFE0019267DA521>I<00FF000003FFE0000F01F8001C007C0030007E00 3C003E007E003F007E003F007E003F007E003F003C003F0000003E0000007E0000007C00 0000F8000001F0000007E00001FF800001FF00000001E0000000F00000007C0000003E00 00003F0000001F0000001F8000001F8038001F807C001F80FE001F80FE001F80FE001F00 FC003F0078003E0070007C003800F8001F01F00007FFC00000FF000019277DA521>I E /Fc 1 1 df0 D E /Fd 10 122 df<0003F80000001FFF0000007E0FC00000F803E00001E000F00003C0 00780007C0007C000F80003E000F80003E001F00001F001F00001F003F00001F803F0000 1F803F00001F807E00000FC07E00000FC07E00000FC07E00000FC07E00000FC07E00000F C0FE00000FE0FE00000FE0FE00000FE0FE00000FE0FE00000FE0FE00000FE0FE00000FE0 FE00000FE0FE00000FE0FE00000FE0FE00000FE0FE00000FE0FE00000FE0FE00000FE0FE 00000FE0FE00000FE0FE00000FE0FE00000FE0FE00000FE07E00000FC07E00000FC07E00 000FC07E00000FC07F00001FC03F00001F803F00001F803F00001F801F00001F001F8000 3F000F80003E000F80003E0007C0007C0003E000F80001F001F00000F803E000007E0FC0 00001FFF00000003F80000233A7DB72A>48 D<000FF00000007FFE000001FFFF800003E0 3FE0000F000FF0000E0007F8001C0003FC00380001FE00300001FE00700000FF00600000 FF00FC0000FF00FF00007F80FF80007F80FF80007F80FF80007F80FF80007F80FF80007F 807F00007F801C00007F800000007F80000000FF00000000FF00000000FF00000001FE00 000001FC00000003FC00000003F800000007F000000007E00000000FE00000001FC00000 003F800000003F000000007C00000000F800000001F000000003E000000007C00000000F 800000000F000000001E000180003C000180007800018000F000038001E000030003C000 030007800003000E000007000FFFFFFF001FFFFFFF003FFFFFFF007FFFFFFE00FFFFFFFE 00FFFFFFFE00FFFFFFFE0021387CB72A>50 D<1C007F00FF80FF80FF80FF80FF807F001C 000000000000000000000000000000000000000000000000000000000000000000000000 001C007F00FF80FF80FF80FF80FF807F001C00092479A317>58 D<7FFFFFFFFFFFF8FFFF FFFFFFFFFCFFFFFFFFFFFFFC7FFFFFFFFFFFF80000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000007FFFFFFFFFFFF8FFFFFFFFFFFFFCFFFFFFFFFFFFFC7FFFFFFFFFFF F836167B9F41>61 D<0003FC00001FFF80007E03E001F8007003F000F807E001FC0FC003 FC0FC003FC1F8003FC3F8003FC3F0001F87F0000F07F0000007F0000007E000000FE0000 00FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE0000 007E0000007F0000007F0000003F0000063F8000061F80000E1FC0000C0FC0001C07E000 3803F0007001F800E0007C07C0001FFF000007F8001F277DA525>99 D<0007F800001FFF00007C0FC001F803E003F001F007E001F80FC000F81F80007C1F8000 7C3F00007E3F00003E7F00003E7F00003F7E00003FFE00003FFE00003FFE00003FFFFFFF FFFFFFFFFFFE000000FE000000FE000000FE000000FE0000007E0000007E0000007F0000 007F0000003F0000033F8000031F8000070FC0000607C0000E07E0001C01F0003800F800 70007E03E0001FFF800003FC0020277EA525>101 D<03F000FFF000FFF000FFF0000FF0 0003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F0 0003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F0 0003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F0 0003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F0 0003F00007F800FFFFC0FFFFC0FFFFC0123A7EB917>108 D<00FF030003FFE7000F80FF 001E003F003C001F0078000F0070000700F0000700F0000700F0000300F8000300F80003 00FC000300FF0000007FE000007FFF00003FFFE0001FFFF8000FFFFC0003FFFE0000FFFF 000007FF8000007F8000001F80C0000FC0C00007C0C00007C0E00003C0E00003C0E00003 C0F00003C0F0000380F8000780FC000780FC000F00FF001E00F3C07C00E1FFF000C03F80 001A277DA521>115 D<0018000000180000001800000018000000180000003800000038 00000038000000780000007800000078000000F8000001F8000003F8000007F800001FFF FF00FFFFFF00FFFFFF0001F8000001F8000001F8000001F8000001F8000001F8000001F8 000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8 000001F8000001F8000001F800C001F800C001F800C001F800C001F800C001F800C001F8 00C001F800C001F800C000FC01C000FC0180007C0380007E0300003F0700000FFE000001 F8001A347FB220>I121 D E /Fe 2 91 df82 D<1FFFFFFFFC1FFFFFFFFC183E00701818F00060381BC000E0301F0000C0703E00 01C0E03C000380C03C000301C03800070180380006038030000E070030001C0600300018 0E000000380C000000301C0000007038000000E030000000C070000001C0E000000180C0 00000381C00000070180000006038000000E070000000C060000001C0E000000380C0000 00301C0000007038000300E030000300C070000301C06000070180E000070381C0000607 0180000E060380001E0E0300001E0C0700003E1C0E000076380C0000E6301C0001CE7018 00078C6038003E0CFFFFFFFFFCFFFFFFFFFC282E7EAD38>90 D E /Ff 1 83 df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g 4 52 df<0000000E0000001E0000003C00000078000000F0000001E0000003C0000007C0 00000F8000001F0000003E0000003E0000007C000000F8000001F8000001F0000003E000 0007E0000007C000000FC000000F8000001F8000001F0000003F0000003E0000007E0000 007C000000FC000000FC000001F8000001F8000001F8000003F0000003F0000003F00000 07E0000007E0000007E000000FE000000FC000000FC000000FC000001FC000001F800000 1F8000001F8000003F8000003F8000003F8000003F0000003F0000007F0000007F000000 7F0000007F0000007F0000007E0000007E0000007E000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE0000007E0000007E0000007E0000007F0000007F000000 7F0000007F0000007F0000003F0000003F0000003F8000003F8000003F8000001F800000 1F8000001F8000001FC000000FC000000FC000000FC000000FE0000007E0000007E00000 07E0000003F0000003F0000003F0000001F8000001F8000001F8000000FC000000FC0000 007C0000007E0000003E0000003F0000001F0000001F8000000F8000000FC0000007C000 0007E0000003E0000001F0000001F8000000F80000007C0000003E0000003E0000001F00 00000F80000007C0000003C0000001E0000000F0000000780000003C0000001E0000000E 1F8F73EA33>40 DI<00000FFE00000000007FFFE000000003FFFFF80000000FFFFF FE0000001FE00FFF8000003E0001FFE00000FC00007FF00001F000003FF80003E000000F FC0003C0000007FE000780000003FF000F00000003FF800E00000001FF801E00000000FF C01C00000000FFC03C000000007FE038000000007FE078000000003FF070000000003FF0 70000000003FF070000000003FF0FF800000001FF8FFE00000001FF8FFE00000001FF8FF F00000001FF8FFF00000001FF8FFF00000001FF8FFF00000001FF8FFF00000001FF8FFF0 0000001FF87FE00000001FF83FC00000001FF806000000001FF000000000003FF0000000 00003FF000000000003FF000000000003FE000000000007FE000000000007FE000000000 00FFC00000000000FFC00000000000FF800000000001FF800000000001FF000000000003 FE000000000007FE000000000007FC00000000000FF800000000000FF000000000001FF0 00000000003FE000000000007FC000000000007F800000000000FF000000000001FE0000 00000003FC000000000003F8000000000007F000000000000FE000000000001FC0000000 00003F8000000000007F0000000000007E000000000000FC000000000001F80000000000 03F0000000000007E000000000000FC000000000001F8000000000003F0000000000003E 0000000000007C000000380000F8000000380001F0000000380003E0000000380007C000 000070000F8000000070001F0000000070001E0000000070003C00000000700078000000 00F000F000000000F001E000000000E003C000000001E0078000000003E00FFFFFFFFFFF E00FFFFFFFFFFFE01FFFFFFFFFFFE03FFFFFFFFFFFE07FFFFFFFFFFFE0FFFFFFFFFFFFC0 FFFFFFFFFFFFC0FFFFFFFFFFFFC0FFFFFFFFFFFFC0355E7ADD42>50 D<000003FF80000000003FFFF800000001FFFFFE00000007FFFFFF8000001FFC00FFE000 003FC0003FF800007E00000FFC0000F8000007FE0001F0000003FF0003E0000001FF8007 C0000000FF800780000000FFC00F000000007FE00FE00000007FE00FF80000007FE01FFC 0000003FF01FFE0000003FF01FFE0000003FF01FFE0000003FF01FFE0000003FF01FFE00 00003FF01FFE0000003FF00FFC0000003FF007F80000003FF001E00000003FF000000000 007FE000000000007FE000000000007FE000000000007FC00000000000FFC00000000000 FF800000000001FF800000000001FF000000000003FF000000000003FE000000000007FC 00000000000FF800000000001FF000000000003FE000000000007F800000000000FF0000 00000003FC0000000001FFF000000000FFFFC000000000FFFF8000000000FFFFF8000000 000001FE0000000000003F8000000000001FE0000000000007F8000000000003FC000000 000001FE000000000001FF000000000000FF8000000000007FC000000000007FE0000000 00003FE000000000003FF000000000003FF800000000001FF800000000001FF800000000 001FFC00000000001FFC00000000000FFC00000000000FFE00000000000FFE0700000000 0FFE1FC00000000FFE7FF00000000FFE7FF00000000FFEFFF80000000FFEFFF80000000F FEFFF80000000FFEFFF80000000FFEFFF80000000FFEFFF80000001FFCFFF00000001FFC FFE00000001FFC7FC00000001FF878000000003FF878000000003FF03C000000003FF03C 000000007FE01E000000007FE01F00000000FFC00F80000001FF8007C0000001FF8003E0 000003FF0001F8000007FE0000FE00001FF800003FC0003FF000001FFC01FFE0000007FF FFFF80000001FFFFFE000000003FFFF00000000003FF80000037607BDD42>I E /Fh 4 107 df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i 4 105 df<00000000000001FFE00000000000000000003FFFFF000000000000 000001FFFFFFE0000000000000000FFE007FF8000000000000003FE00007FE0000000000 0001FF800001FF00000000000007FE0000007FC000000000000FF80000003FE000000000 003FE00000001FF00000000000FF800000000FF80000000001FF0000000007FC00000000 03FE0000000003FE000000000FF80000000001FF000000001FF00000000001FF80000000 3FE00000000000FF800000007FC000000000007FC0000000FF8000000000007FE0000001 FF0000000000003FE0000003FE0000000000003FF0000007FC0000000000003FF000000F FC0000000000001FF800001FF80000000000001FF800003FF00000000000001FF800007F E00000000000001FFC0000FFE00000000000000FFC0001FFC00000000000000FFC0001FF 800000000000000FFE0003FF800000000000000FFE0007FF000000000000000FFE000FFF 000000000000000FFE000FFE000000000000000FFE001FFE000000000000000FFF001FFC 000000000000000FFF003FFC000000000000000FFF007FF8000000000000000FFF007FF8 000000000000000FFF00FFF0000000000000000FFF00FFF0000000000000000FFF01FFE0 000000000000000FFF01FFE0000000000000000FFF03FFE0000000000000000FFF03FFC0 000000000000001FFF07FFC0000000000000001FFF07FFC0000000000000001FFF07FF80 000000000000001FFF0FFF80000000000000001FFE0FFF80000000000000001FFE0FFF00 000000000000003FFE1FFF00000000000000003FFE1FFF00000000000000003FFE1FFF00 000000000000003FFE3FFE00000000000000007FFC3FFE00000000000000007FFC3FFE00 000000000000007FFC3FFE00000000000000007FFC7FFE0000000000000000FFF87FFC00 00000000000000FFF87FFC0000000000000000FFF87FFC0000000000000001FFF07FFC00 00000000000001FFF07FFC0000000000000001FFF07FF80000000000000003FFE07FF800 00000000000003FFE0FFF80000000000000007FFC0FFF80000000000000007FFC0FFF800 00000000000007FF80FFF8000000000000000FFF80FFF8000000000000000FFF00FFF800 0000000000001FFF00FFF8000000000000001FFE007FF8000000000000003FFE007FF800 0000000000003FFC007FF8000000000000007FFC007FF8000000000000007FF8007FF800 000000000000FFF0007FF800000000000000FFF0007FF800000000000001FFE0003FF800 000000000003FFC0003FF800000000000003FF80003FFC00000000000007FF80001FFC00 00000000000FFF00001FFC0000000000000FFE00001FFC0000000000001FFC00000FFE00 00000000003FF800000FFE0000000000007FF0000007FE000000000000FFE0000007FF00 0000000000FFC0000003FF000000000001FF80000003FF800000000003FF00000001FF80 0000000007FE00000000FFC0000000000FFC00000000FFC0000000003FF0000000007FE0 000000007FE0000000003FF000000000FFC0000000001FF800000001FF00000000000FFC 00000007FE000000000007FE0000001FF8000000000001FF0000003FE0000000000000FF C00001FF800000000000003FF00007FE000000000000000FFE007FF80000000000000003 FFFFFFC000000000000000007FFFFE00000000000000000007FFC0000000000000606879 E46B>79 D<003FFFFFFFFFFFFFFFFFFFF8003FFFFFFFFFFFFFFFFFFFFC007FFFFFFFFFFF FFFFFFFFFC007FFFFFFFFFFFFFFFFFFFFC007FFF800007FFE00001FFFC00FFF0000003FF 8000003FF800FFC0000007FF8000000FF800FF00000007FF80000003F801FC00000007FF 00000001F801F800000007FF00000001F801F00000000FFF00000001F803E00000000FFF 00000000F003E00000000FFE00000000F007C00000000FFE00000000F007800000001FFE 00000000F007800000001FFE00000000F00F000000001FFC00000000F00F000000001FFC 00000000F00E000000003FFC00000000E01E000000003FFC00000000E01E000000003FF8 00000000E01C000000003FF800000000E03C000000007FF800000000E038000000007FF8 00000000E038000000007FF000000001E078000000007FF000000001C07000000000FFF0 00000001C07000000000FFF000000001C0F000000000FFE000000001C0E000000000FFE0 00000001C0E000000001FFE000000001C0C000000001FFE000000001800000000001FFC0 00000000000000000001FFC000000000000000000003FFC000000000000000000003FFC0 00000000000000000003FF8000000000000000000003FF8000000000000000000007FF80 00000000000000000007FF8000000000000000000007FF0000000000000000000007FF00 0000000000000000000FFF000000000000000000000FFF000000000000000000000FFE00 0000000000000000000FFE000000000000000000001FFE000000000000000000001FFE00 0000000000000000001FFC000000000000000000001FFC000000000000000000003FFC00 0000000000000000003FFC000000000000000000003FF8000000000000000000003FF800 0000000000000000007FF8000000000000000000007FF8000000000000000000007FF000 0000000000000000007FF000000000000000000000FFF000000000000000000000FFF000 000000000000000000FFE000000000000000000000FFE000000000000000000001FFE000 000000000000000001FFE000000000000000000001FFC000000000000000000001FFC000 000000000000000003FFC000000000000000000003FFC000000000000000000003FF8000 000000000000000003FF8000000000000000000007FF8000000000000000000007FF8000 000000000000000007FF0000000000000000000007FF000000000000000000000FFF0000 00000000000000000FFF000000000000000000000FFE000000000000000000000FFE0000 00000000000000001FFE000000000000000000001FFE000000000000000000001FFC0000 00000000000000001FFC000000000000000000003FFC000000000000000000003FFC0000 00000000000000003FF8000000000000000000003FF8000000000000000000007FF80000 00000000000000007FF8000000000000000000007FF000000000000000000000FFF00000 0000000000000000FFF000000000000000000001FFF80000000000000000001FFFFF0000 000000000007FFFFFFFFFFF8000000000007FFFFFFFFFFFC00000000000FFFFFFFFFFFF8 000000000007FFFFFFFFFFF800000000005E617CE052>84 D<0000000FFFFFFFFFFFFFFF F80000001FFFFFFFFFFFFFFFF80000001FFFFFFFFFFFFFFFF80000003FFFFFFFFFFFFFFF F00000003FFFFF80000001FFF00000003FFFF000000001FFE00000003FFF0000000003FF C00000007FFC0000000007FF800000007FF0000000000FFF000000007FE0000000001FFE 00000000FF80000000003FFC00000000FF00000000007FF800000000FE0000000000FFF8 00000000FC0000000000FFF000000001F80000000001FFE000000001F80000000003FFC0 00000001F00000000007FF8000000003E0000000000FFF0000000003E0000000001FFE00 00000003C0000000003FFC0000000003C0000000003FFC000000000780000000007FF800 000000078000000000FFF000000000070000000001FFE0000000000F0000000003FFC000 0000000F0000000007FF80000000000E000000000FFF00000000000E000000001FFF0000 0000001E000000001FFE00000000001C000000003FFC00000000001C000000007FF80000 0000001800000000FFF000000000000000000001FFE000000000000000000003FFC00000 0000000000000007FF800000000000000000000FFF800000000000000000000FFF000000 000000000000001FFE000000000000000000003FFC000000000000000000007FF8000000 00000000000000FFF000000000000000000001FFE000000000000000000003FFC0000000 00000000000007FFC000000000000000000007FF800000000000000000000FFF00000000 0000000000001FFE000000000000000000003FFC000000000000000000007FF800000000 000000000000FFF000000000000000000001FFE000000000000000000001FFE000000000 000000000003FFC000000000000000000007FF800000000000000000000FFF0000000000 00000000001FFE000000000000000000003FFC000000000000000000007FF80000000000 0000000000FFF800000000000000000000FFF000000000000000000001FFE00000000000 0000000003FFC00000000C000000000007FF800000000E00000000000FFF000000001E00 000000001FFE000000001C00000000003FFC000000001C00000000007FFC000000003C00 000000007FF800000000380000000000FFF000000000380000000001FFE0000000007800 00000003FFC000000000780000000007FF800000000070000000000FFF0000000000F000 0000001FFE0000000000F0000000003FFE0000000000E0000000003FFC0000000001E000 0000007FF80000000001E000000000FFF00000000003C000000001FFE00000000003C000 000003FFC00000000007C000000007FF80000000000F800000000FFF00000000000F8000 00000FFF00000000001F800000001FFE00000000003F800000003FFC00000000003F0000 00007FF800000000007F00000000FFF00000000000FF00000001FFE00000000003FE0000 0003FFC00000000007FE00000007FFC0000000001FFE00000007FF80000000007FFC0000 000FFF0000000001FFFC0000001FFE000000000FFFFC0000003FFC00000001FFFFF80000 007FFFFFFFFFFFFFFFF80000007FFFFFFFFFFFFFFFF8000000FFFFFFFFFFFFFFFFF80000 007FFFFFFFFFFFFFFFF00000005D6278E160>90 D<0000003F000000000000007FFF8000 000000000FFFFF8000000000000FFFFF0000000000001FFFFF0000000000000FFFFF0000 00000000000FFF0000000000000007FE0000000000000003FE0000000000000007FE0000 000000000007FE0000000000000007FC0000000000000007FC000000000000000FFC0000 00000000000FFC000000000000000FF8000000000000000FF8000000000000001FF80000 00000000001FF8000000000000001FF0000000000000001FF0000000000000003FF00000 00000000003FF0000000000000003FE0000000000000003FE0000000000000007FE00000 00000000007FE0000000000000007FC0000000000000007FC000000000000000FFC00000 0000000000FFC000000000000000FF8000000000000000FF8000000000000001FF800000 0000000001FF8000000000000001FF0000000000000001FF0000000000000003FF0007FC 0000000003FF007FFF8000000003FE01FFFFE000000003FE07F80FF800000007FE0FC003 FC00000007FE3E0001FE00000007FC7C0001FE00000007FCF80000FF0000000FFDE00000 FF0000000FFFC00000FF8000000FFF800000FF8000000FFF8000007F8000001FFF000000 7F8000001FFE0000007F8000001FFC000000FF8000001FFC000000FF8000003FF8000000 FF8000003FF0000000FF8000003FF0000000FF8000003FE0000000FF8000007FE0000001 FF8000007FE0000001FF0000007FC0000001FF0000007FC0000001FF000000FFC0000003 FF000000FFC0000003FE000000FF80000003FE000000FF80000003FE000001FF80000007 FE000001FF80000007FC000001FF00000007FC000001FF0000000FFC000003FF0000000F F8000003FF0000000FF8000003FE0000001FF8000003FE0000001FF0000007FE0000001F F0000007FE0000003FF0000007FC0000003FE0000007FC0000003FE000000FFC0000007F E000000FFC0000007FC000600FF80000007FC000E00FF8000000FFC000E01FF8000000FF 8001E01FF8000000FF8001C01FF0000001FF8001C01FF0000001FF0003C03FF0000003FF 0003803FF0000003FE0003803FE0000003FE0007803FE0000003FE0007007FE0000003FE 000F007FE0000003FC000E007FC0000003FC001E007FC0000003FC003C00FFC0000003FC 003800FFC0000001FC007800FF80000001FC00F000FF80000000FE03E000FF800000007E 07C000FF000000003FFF0000FE000000001FFE00003C0000000003F00000436578E351> 104 D E /Fj 4 53 df<00600001E0000FE000FFE000F1E00001E00001E00001E00001E0 0001E00001E00001E00001E00001E00001E00001E00001E00001E00001E00001E00001E0 0001E00001E00001E00001E00001E0007FFF807FFF80111C7B9B1C>49 D<03FC000FFF003C0FC07003E07801F0FC00F0FC00F8FC00F8FC00787800780000F80000 F00000F00001E00003C0000780000F00001C0000380000E00001C0180380180600180C00 383FFFF07FFFF0FFFFF0FFFFF0151C7D9B1C>I<01FC000FFF801E07C03001E07C01F07C 00F07E00F07C01F03801E00003E00007C0001F8003FE0003FC000007800003C00001E000 00F00000F83000F87800F8FC00F8FC00F8FC00F07801F07003E03C07C00FFF0003FC0015 1D7D9B1C>I<0001C00003C00007C0000FC0000FC0001BC00033C00073C000E3C001C3C0 0383C00303C00603C00C03C01C03C03803C07003C0E003C0FFFFFEFFFFFE0003C00003C0 0003C00003C00003C00003C0007FFE007FFE171C7E9B1C>I E /Fk 1 4 df<7FFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFFC0FFFFFFFFFFFFFFFFC0FFFFFFFFFF FFFFFFC0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0F000000000000003C0F000000000000003C0F000000000000003C0F000000000 000003C0FFFFFFFFFFFFFFFFC0FFFFFFFFFFFFFFFFC0FFFFFFFFFFFFFFFFC07FFFFFFFFF FFFFFF8042447BC34D>3 D E /Fl 4 110 df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m 1 84 df<0000000000003FF80000000000000007FFFF80000000000000 3FFFFFF0000000000000FFFFFFFC000000000003FFFFFFFE00000000000FFFFFFFFF0000 0000003FFFFFFFFF80000000007FE00FFFFF8000000001FE0000FFFFC000000003F80000 1FFFC000000007F0000007FFC00000000FE0000003FFC00000001FC0000003FFC0000000 3FC0000001FFC00000007F80000001FFC00000007F80000001FFC0000000FF80000001FF 80000001FF00000001FF80000001FF00000001FF00000003FF00000001FE00000003FF00 000001FC00000003FF00000003F000000007FF00000001C000000007FF00000000000000 0007FF000000000000000007FF800000000000000007FF800000000000000007FFC00000 000000000007FFC00000000000000007FFE00000000000000003FFF00000000000000003 FFF80000000000000001FFFC0000000000000001FFFF0000000000000000FFFFC0000000 000000007FFFE0000000000000003FFFF8000000000000001FFFFF000000000000000FFF FFC000000000000007FFFFE000000000000001FFFFF8000000000000007FFFFE00000000 0000003FFFFF000000000000000FFFFFC000000000000001FFFFE0000000000000007FFF F0000000000000003FFFF8000000000000000FFFFC0000000000000003FFFE0000000000 000001FFFF00000000000000007FFF00000000000000003FFF80000000000000001FFF80 000007C00000000FFF8000001FC000000007FFC000007F8000000007FFC00001FF000000 0003FFC00003FE0000000003FFC00007F80000000003FFC0000FF00000000001FFC0001F F00000000001FFC0001FF00000000001FFC0003FE00000000001FF80003FE00000000001 FF80007FE00000000001FF80007FE00000000001FF00007FE00000000001FF0000FFE000 00000003FE0000FFE00000000003FE0000FFF00000000003FC0000FFF00000000007F800 00FFF80000000007F80000FFF8000000000FF00000FFFC000000000FE000007FFE000000 001FC000007FFF000000003F8000003FFF800000007F0000003FFFE0000001FE0000001F FFF8000007F80000000FFFFE00003FF000000007FFFFE003FFC000000003FFFFFFFFFF00 00000001FFFFFFFFFC0000000000FFFFFFFFF000000000003FFFFFFFC000000000000FFF FFFE00000000000003FFFFF0000000000000003FFE0000000000004A587ED448>83 D E /Fn 25 123 df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o 45 122 df<07F0001FF8003FFE007FFF007FFF00FFFF80FFFFC0FFFFC0FFFFC0FFFFE0FF FFE0FFFFE07FFFE07FFFE03FFFE01FFDE007F1E00001E00001E00003E00003C00003C000 03C00007C0000780000F80000F80000F00001F00003E00003E00007C0000F80001F00003 F00007E0000FC0001F80001F00000C0000132876D225>39 D<07F0001FF8003FFC007FFE 007FFF00FFFF00FFFF80FFFF80FFFF80FFFFC0FFFFC0FFFFC07FFFC07FFFC03FFFC01FFF C007F3C00003C00003C00007C0000780000780000780000F80000F00000F00001F00001E 00003E00003C00007C0000F80000F80001F00003E00007C0000F80001F00001E00000C00 001228769025>44 DI<07 F0000FF8001FFC003FFE007FFF00FFFF80FFFF80FFFF80FFFF80FFFF80FFFF80FFFF807F FF003FFE001FFC000FF80007F0001111769025>I<000003FFC0000000003FFFFC000000 00FFFFFF00000003FFFFFFC000000FFF81FFF000001FFC003FF800003FF8001FFC00007F F0000FFE0000FFE00007FF0001FFC00003FF8003FF800001FFC003FF800001FFC007FF80 0001FFE00FFF000000FFF00FFF000000FFF00FFF000000FFF01FFF000000FFF81FFF0000 00FFF83FFF000000FFFC3FFE0000007FFC3FFE0000007FFC3FFE0000007FFC7FFE000000 7FFE7FFE0000007FFE7FFE0000007FFE7FFE0000007FFE7FFE0000007FFE7FFE0000007F FEFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFF FFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFF FE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE 0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE00 00007FFFFFFE0000007FFFFFFE0000007FFF7FFE0000007FFE7FFE0000007FFE7FFE0000 007FFE7FFE0000007FFE7FFE0000007FFE7FFE0000007FFE3FFE0000007FFC3FFE000000 7FFC3FFF000000FFFC3FFF000000FFFC1FFF000000FFF81FFF000000FFF81FFF000000FF F80FFF000000FFF00FFF000000FFF007FF800001FFE007FF800001FFE003FFC00003FFC0 01FFC00003FF8001FFE00007FF8000FFF0000FFF00007FF8001FFE00001FFC003FF80000 0FFF81FFF0000007FFFFFFE0000001FFFFFF800000003FFFFC0000000003FFC00000384F 7BCD43>48 D<000000780000000000FC0000000003FC0000000007FC000000001FFC0000 0000FFFC0000000FFFFC000007FFFFFC0000FFFFFFFC0000FFFFFFFC0000FFFF7FFC0000 FFF07FFC0000F8007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000 00007FFC000000007FFC00007FFFFFFFFFFE7FFFFFFFFFFE7FFFFFFFFFFE7FFFFFFFFFFE 7FFFFFFFFFFE2F4E76CD43>I<00003FFE0000000003FFFFE00000000FFFFFFC0000003F FFFFFF000000FFFFFFFFC00001FFC07FFFE00003FE000FFFF80007F80003FFFC000FE000 01FFFE001FC00000FFFF003F8000007FFF003FF000007FFF807FF800003FFFC07FFC0000 3FFFC0FFFE00001FFFE0FFFF00001FFFE0FFFF00001FFFE0FFFF00000FFFF0FFFF00000F FFF0FFFF00000FFFF0FFFF00000FFFF0FFFF00000FFFF07FFE00000FFFF07FFE00000FFF F03FFC00000FFFF00FF000000FFFF003C000000FFFF0000000000FFFE0000000001FFFE0 000000001FFFE0000000001FFFC0000000003FFFC0000000003FFF80000000003FFF8000 0000007FFF00000000007FFE0000000000FFFC0000000001FFF80000000001FFF0000000 0003FFE00000000003FFC00000000007FF80000000000FFF00000000001FFE0000000000 1FFC00000000003FF800000000007FE00000000000FFC00000000001FF800000000003FE 000000000007FC000000000007F800000000000FF00001F000001FE00001F000003F8000 01F000007F000001F00000FE000003E00001FC000003E00003F8000003E00007F0000003 E0000FE0000003E0001F80000007E0003F00000007E0003E0000000FE0007FFFFFFFFFE0 00FFFFFFFFFFC001FFFFFFFFFFC003FFFFFFFFFFC007FFFFFFFFFFC00FFFFFFFFFFFC01F FFFFFFFFFFC03FFFFFFFFFFFC07FFFFFFFFFFFC0FFFFFFFFFFFFC0FFFFFFFFFFFF80FFFF FFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFFFF80344E79CD43>I<00000FFFC000000000FF FFFC00000007FFFFFF8000001FFFFFFFE000003FF807FFF00000FF8001FFFC0001FE0000 7FFE0003F800003FFF0003F000003FFF8007FC00001FFF800FFF00001FFFC00FFF80001F FFC01FFFC0001FFFE01FFFC0001FFFE01FFFC0001FFFE01FFFC0001FFFE01FFFE0001FFF E01FFFC0001FFFE01FFFC0001FFFE01FFFC0001FFFE00FFFC0001FFFC007FF80001FFFC0 03FF00003FFFC001FC00003FFF80000000003FFF80000000007FFF00000000007FFE0000 0000007FFE0000000000FFFC0000000001FFF80000000003FFF00000000007FFC0000000 000FFF8000000000FFFE00000000FFFFF800000000FFFFE000000000FFFFFC00000000FF FFFF800000000007FFE00000000001FFF800000000007FFE00000000003FFF0000000000 1FFF80000000000FFFC0000000000FFFE00000000007FFF00000000007FFF00000000007 FFF80000000007FFF80000000003FFFC0000000003FFFC0000000003FFFE0000000003FF FE03E0000003FFFE0FF8000003FFFE1FFC000003FFFE3FFE000003FFFE7FFF000003FFFE FFFF800003FFFEFFFF800003FFFEFFFF800003FFFEFFFF800003FFFCFFFF800003FFFCFF FF800007FFFCFFFF800007FFF8FFFF000007FFF87FFF000007FFF07FFE00000FFFF03FFC 00000FFFE03FF000001FFFC01FE000003FFF800FF800007FFF0007FF0000FFFE0003FFF0 07FFFC0000FFFFFFFFF000007FFFFFFFE000001FFFFFFF80000003FFFFFC000000001FFF 800000374F7ACD43>I<00000000007C00000000000000FE00000000000000FE00000000 000001FE00000000000003FE00000000000007FE0000000000000FFE0000000000000FFE 0000000000001FFE0000000000003FFE0000000000007FFE0000000000007FFE00000000 0000FFFE000000000001FFFE000000000003FFFE000000000003FFFE000000000007FFFE 00000000000FFFFE00000000001FBFFE00000000003F3FFE00000000003E3FFE00000000 007C3FFE0000000000FC3FFE0000000001F83FFE0000000001F03FFE0000000003E03FFE 0000000007E03FFE000000000FC03FFE000000000F803FFE000000001F003FFE00000000 3F003FFE000000007E003FFE000000007C003FFE00000000F8003FFE00000001F8003FFE 00000003F0003FFE00000007E0003FFE00000007C0003FFE0000000F80003FFE0000001F 80003FFE0000003F00003FFE0000003E00003FFE0000007C00003FFE000000FC00003FFE 000001F800003FFE000001F000003FFE000003E000003FFE000007E000003FFE00000FC0 00003FFE00001F8000003FFE00001F0000003FFE00003E0000003FFE00007E0000003FFE 0000FC0000003FFE0000FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFC0FFFF FFFFFFFFFFC0FFFFFFFFFFFFFFC0000000007FFE0000000000007FFE0000000000007FFE 0000000000007FFE0000000000007FFE0000000000007FFE0000000000007FFE00000000 00007FFE0000000000007FFE0000000000007FFE0000000000007FFE0000000000007FFE 0000000000007FFE0000000000007FFE0000000000007FFE000000000FFFFFFFFFC00000 0FFFFFFFFFC000000FFFFFFFFFC000000FFFFFFFFFC000000FFFFFFFFFC03A4F7CCE43> I<000007FFC0000000007FFFFC00000003FFFFFF8000000FFFFFFFE000001FFC01FFF800 003FE0003FFC00007F80000FFE0000FF000007FF0001FE000003FF0003FC000001FF8007 FC000001FFC007F8000000FFC00FF8000000FFC00FF8000000FFE00FF80000007FE00FF8 0000007FE01FF80000007FE01FFC0000007FE01FFC0000007FE01FFE0000007FE01FFF00 00007FE01FFF800000FFE01FFFE00000FFC01FFFF80000FFC01FFFFE0001FF800FFFFF00 01FF800FFFFFC003FF000FFFFFF007FE0007FFFFF807FC0007FFFFFE1FF80003FFFFFFBF F00001FFFFFFFFE00001FFFFFFFF800000FFFFFFFE0000007FFFFFFF0000003FFFFFFF80 00000FFFFFFFE0000007FFFFFFF0000001FFFFFFFC000007FFFFFFFE00001FFFFFFFFF00 003FFFFFFFFF8000FFE7FFFFFF8001FF81FFFFFFC003FF007FFFFFE007FE001FFFFFF00F FC000FFFFFF01FF80003FFFFF01FF80000FFFFF83FF000007FFFF83FF000001FFFF87FE0 000007FFFC7FE0000001FFFC7FE0000000FFFCFFC00000007FFCFFC00000003FFCFFC000 00003FFCFFC00000001FFCFFC00000001FFCFFC00000000FFCFFC00000000FFCFFC00000 000FF8FFC00000000FF8FFE00000000FF87FE00000000FF07FF00000001FF07FF0000000 1FF03FF80000003FE01FF80000003FC01FFC0000007FC00FFE000000FF8007FF800003FF 0003FFE0000FFE0001FFFC00FFFC00007FFFFFFFF000003FFFFFFFE000000FFFFFFF8000 0001FFFFFC000000000FFFC00000364F7ACD43>56 D<00000000001F0000000000000000 0000003F80000000000000000000007FC0000000000000000000007FC000000000000000 000000FFE000000000000000000000FFE000000000000000000000FFE000000000000000 000001FFF000000000000000000001FFF000000000000000000003FFF800000000000000 000003FFF800000000000000000003FFF800000000000000000007FFFC00000000000000 000007FFFC00000000000000000007FFFC0000000000000000000FFFFE00000000000000 00000FFFFE0000000000000000001FFFFF0000000000000000001FFFFF00000000000000 00001FFFFF0000000000000000003FFFFF8000000000000000003F7FFF80000000000000 00007F7FFFC000000000000000007E7FFFC000000000000000007E3FFFC0000000000000 0000FE3FFFE00000000000000000FC1FFFE00000000000000001FC1FFFF0000000000000 0001F81FFFF00000000000000001F80FFFF00000000000000003F80FFFF8000000000000 0003F007FFF80000000000000007F007FFFC0000000000000007E007FFFC000000000000 0007E003FFFC000000000000000FE003FFFE000000000000000FC001FFFE000000000000 001FC001FFFF000000000000001F8001FFFF000000000000001F8000FFFF000000000000 003F8000FFFF800000000000003F00007FFF800000000000007F00007FFFC00000000000 007E00007FFFC00000000000007E00003FFFC0000000000000FE00003FFFE00000000000 00FC00001FFFE0000000000001FC00001FFFF0000000000001F800001FFFF00000000000 01F800000FFFF0000000000003F800000FFFF8000000000003F0000007FFF80000000000 07F0000007FFFC000000000007E0000007FFFC000000000007E0000003FFFC0000000000 0FFFFFFFFFFFFE00000000000FFFFFFFFFFFFE00000000001FFFFFFFFFFFFF0000000000 1FFFFFFFFFFFFF00000000001FFFFFFFFFFFFF00000000003F80000000FFFF8000000000 3F000000007FFF80000000007F000000007FFFC0000000007F000000007FFFC000000000 7E000000003FFFC000000000FE000000003FFFE000000000FC000000001FFFE000000001 FC000000001FFFF000000001FC000000001FFFF000000001F8000000000FFFF000000003 F8000000000FFFF800000003F00000000007FFF800000007F00000000007FFFC00000007 F00000000007FFFC00000007E00000000003FFFC0000000FE00000000003FFFE0000000F C00000000003FFFE0000001FC00000000001FFFF000000FFFC0000000001FFFF0000FFFF FFF800000FFFFFFFFFE0FFFFFFF800000FFFFFFFFFE0FFFFFFF800000FFFFFFFFFE0FFFF FFF800000FFFFFFFFFE0FFFFFFF800000FFFFFFFFFE05B547BD366>65 D<0000000001FFFC000001C0000000007FFFFFC00003C000000007FFFFFFF80007C00000 003FFFFFFFFE001FC0000000FFFFFFFFFF803FC0000003FFFFE003FFC07FC000000FFFFC 00003FF0FFC000003FFFE000000FF9FFC000007FFF80000003FFFFC00001FFFE00000000 FFFFC00003FFF8000000007FFFC00007FFF0000000003FFFC0000FFFE0000000001FFFC0 001FFFC0000000000FFFC0003FFF800000000007FFC0007FFF000000000003FFC000FFFE 000000000001FFC000FFFE000000000001FFC001FFFC000000000000FFC003FFF8000000 000000FFC003FFF80000000000007FC007FFF00000000000007FC00FFFF0000000000000 3FC00FFFF00000000000003FC01FFFE00000000000001FC01FFFE00000000000001FC01F FFE00000000000001FC03FFFC00000000000001FC03FFFC00000000000000FC03FFFC000 00000000000FC07FFFC00000000000000FC07FFFC00000000000000FC07FFFC000000000 000000007FFF8000000000000000007FFF800000000000000000FFFF8000000000000000 00FFFF800000000000000000FFFF800000000000000000FFFF800000000000000000FFFF 800000000000000000FFFF800000000000000000FFFF800000000000000000FFFF800000 000000000000FFFF800000000000000000FFFF800000000000000000FFFF800000000000 000000FFFF800000000000000000FFFF800000000000000000FFFF800000000000000000 7FFF8000000000000000007FFF8000000000000000007FFFC000000000000000007FFFC0 00000000000000007FFFC000000000000007C03FFFC000000000000007C03FFFC0000000 00000007C03FFFC000000000000007C01FFFE000000000000007C01FFFE0000000000000 07C01FFFE00000000000000FC00FFFF00000000000000F800FFFF00000000000000F8007 FFF00000000000001F8003FFF80000000000001F8003FFF80000000000001F0001FFFC00 00000000003F0000FFFE0000000000007E0000FFFE0000000000007E00007FFF00000000 0000FC00003FFF800000000001F800001FFFC00000000003F800000FFFE00000000007F0 000007FFF0000000000FE0000003FFFC000000001FC0000001FFFE000000007F80000000 7FFF80000000FF000000003FFFE0000007FE000000000FFFFE00001FF80000000003FFFF E001FFF00000000000FFFFFFFFFFC000000000003FFFFFFFFF00000000000007FFFFFFFC 000000000000007FFFFFE00000000000000001FFFC00000000525479D261>67 D69 D<0000000001FFFC0000 01C000000000007FFFFFC00003C00000000007FFFFFFF80007C0000000003FFFFFFFFE00 1FC000000000FFFFFFFFFF803FC000000003FFFFE003FFC07FC00000000FFFFC00003FF0 FFC00000003FFFE000000FF9FFC00000007FFF80000003FFFFC0000001FFFE00000000FF FFC0000003FFF8000000007FFFC0000007FFF0000000003FFFC000000FFFE0000000001F FFC000001FFFC0000000000FFFC000003FFF800000000007FFC000007FFF000000000003 FFC00000FFFE000000000001FFC00000FFFE000000000001FFC00001FFFC000000000000 FFC00003FFF8000000000000FFC00003FFF80000000000007FC00007FFF0000000000000 7FC0000FFFF00000000000003FC0000FFFF00000000000003FC0001FFFE0000000000000 1FC0001FFFE00000000000001FC0001FFFE00000000000001FC0003FFFC0000000000000 1FC0003FFFC00000000000000FC0003FFFC00000000000000FC0007FFFC0000000000000 0FC0007FFFC00000000000000FC0007FFFC00000000000000000007FFF80000000000000 0000007FFF80000000000000000000FFFF80000000000000000000FFFF80000000000000 000000FFFF80000000000000000000FFFF80000000000000000000FFFF80000000000000 000000FFFF80000000000000000000FFFF80000000000000000000FFFF80000000000000 000000FFFF80000000000000000000FFFF80000000000000000000FFFF80000000000000 000000FFFF80000000000000000000FFFF80000000000000000000FFFF80000000000000 0000007FFF800000007FFFFFFFFFE07FFF800000007FFFFFFFFFE07FFFC00000007FFFFF FFFFE07FFFC00000007FFFFFFFFFE07FFFC00000007FFFFFFFFFE03FFFC000000000003F FFC0003FFFC000000000003FFFC0003FFFC000000000003FFFC0001FFFE000000000003F FFC0001FFFE000000000003FFFC0001FFFE000000000003FFFC0000FFFF000000000003F FFC0000FFFF000000000003FFFC00007FFF000000000003FFFC00003FFF800000000003F FFC00003FFF800000000003FFFC00001FFFC00000000003FFFC00000FFFE00000000003F FFC00000FFFE00000000003FFFC000007FFF00000000003FFFC000003FFF80000000003F FFC000001FFFC0000000003FFFC000000FFFE0000000007FFFC0000007FFF0000000007F FFC0000003FFFC00000000FFFFC0000001FFFF00000000FFFFC00000007FFF80000001FF FFC00000003FFFF0000007FBFFC00000000FFFFE00001FF1FFC000000003FFFFF001FFE0 FFC000000000FFFFFFFFFFC07FC0000000003FFFFFFFFF001FC00000000007FFFFFFFC00 07C000000000007FFFFFE00001C0000000000001FFFE00000000005B5479D26A>71 DI76 DII<000000000FFFC00000000000000003FFFFFF000000000000001FFFFFFFE0 000000000000FFFFFFFFFC000000000003FFFC00FFFF00000000000FFFC0000FFFC00000 00003FFF000003FFF0000000007FFC000000FFF800000001FFF80000007FFE00000003FF E00000001FFF00000007FFC00000000FFF8000000FFF8000000007FFC000001FFF000000 0003FFE000003FFF0000000003FFF000007FFE0000000001FFF80000FFFC0000000000FF FC0000FFFC0000000000FFFC0001FFF800000000007FFE0003FFF800000000007FFF0003 FFF000000000003FFF0007FFF000000000003FFF8007FFE000000000001FFF800FFFE000 000000001FFFC00FFFE000000000001FFFC01FFFE000000000001FFFE01FFFC000000000 000FFFE01FFFC000000000000FFFE03FFFC000000000000FFFF03FFFC000000000000FFF F03FFFC000000000000FFFF07FFF80000000000007FFF87FFF80000000000007FFF87FFF 80000000000007FFF87FFF80000000000007FFF87FFF80000000000007FFF8FFFF800000 00000007FFFCFFFF80000000000007FFFCFFFF80000000000007FFFCFFFF800000000000 07FFFCFFFF80000000000007FFFCFFFF80000000000007FFFCFFFF80000000000007FFFC FFFF80000000000007FFFCFFFF80000000000007FFFCFFFF80000000000007FFFCFFFF80 000000000007FFFCFFFF80000000000007FFFCFFFF80000000000007FFFCFFFF80000000 000007FFFCFFFF80000000000007FFFC7FFF80000000000007FFF87FFFC000000000000F FFF87FFFC000000000000FFFF87FFFC000000000000FFFF87FFFC000000000000FFFF83F FFC000000000000FFFF03FFFC000000000000FFFF03FFFE000000000001FFFF01FFFE000 000000001FFFE01FFFE000000000001FFFE01FFFE000000000001FFFE00FFFF000000000 003FFFC00FFFF000000000003FFFC007FFF800000000007FFF8007FFF800000000007FFF 8003FFF800000000007FFF0001FFFC0000000000FFFE0001FFFE0000000001FFFE0000FF FE0000000001FFFC00007FFF0000000003FFF800003FFF8000000007FFF000001FFFC000 00000FFFE000000FFFE00000001FFFC0000007FFF00000003FFF80000003FFF80000007F FF00000001FFFC000000FFFE00000000FFFF000003FFFC000000003FFFE0001FFFF00000 00000FFFFC00FFFFC00000000003FFFFFFFFFF000000000000FFFFFFFFFC000000000000 1FFFFFFFE000000000000003FFFFFF00000000000000001FFFE000000000565479D265> II< 00000FFF800007000000FFFFF8000F000007FFFFFF001F00001FFFFFFFC03F00003FFFFF FFF07F0000FFFC00FFF8FF0001FFE0000FFDFF0003FF800001FFFF0007FE0000007FFF00 0FFC0000003FFF000FF80000000FFF001FF800000007FF001FF000000003FF003FF00000 0003FF003FE000000001FF007FE000000000FF007FE000000000FF007FE0000000007F00 FFE0000000007F00FFE0000000003F00FFE0000000003F00FFF0000000003F00FFF00000 00003F00FFF8000000001F00FFF8000000001F00FFFC000000001F00FFFE000000001F00 FFFF000000000000FFFFC000000000007FFFF000000000007FFFFF00000000007FFFFFF8 000000003FFFFFFF800000003FFFFFFFFC0000001FFFFFFFFFC000001FFFFFFFFFF00000 0FFFFFFFFFFC000007FFFFFFFFFF000003FFFFFFFFFFC00001FFFFFFFFFFE00000FFFFFF FFFFF000007FFFFFFFFFF800003FFFFFFFFFFC00000FFFFFFFFFFE000003FFFFFFFFFE00 0000FFFFFFFFFF0000001FFFFFFFFF80000000FFFFFFFF800000000FFFFFFFC000000000 7FFFFFC00000000007FFFFE00000000000FFFFE000000000003FFFE000000000000FFFF0 000000000007FFF0000000000003FFF0000000000003FFF0780000000001FFF0F8000000 0000FFF0F80000000000FFF0F80000000000FFF0F800000000007FF0F800000000007FF0 FC00000000007FF0FC00000000007FF0FC00000000007FE0FE00000000007FE0FE000000 00007FE0FF0000000000FFC0FF0000000000FFC0FF8000000000FFC0FFC000000001FF80 FFE000000001FF00FFF000000003FF00FFFC00000007FE00FFFF0000000FFC00FFFFC000 001FF800FFFFF800007FF000FF1FFFC003FFE000FE0FFFFFFFFFC000FC03FFFFFFFF0000 F8007FFFFFFC0000F0000FFFFFF00000E000007FFF0000003C5479D24B>83 D<3FFFFFFFFFFFFFFFFFFF803FFFFFFFFFFFFFFFFFFF803FFFFFFFFFFFFFFFFFFF803FFF FFFFFFFFFFFFFFFF803FFFFFFFFFFFFFFFFFFF803FFFC0003FFFC0007FFF803FFE00003F FFC00007FF807FF800003FFFC00001FFC07FE000003FFFC00000FFC07FC000003FFFC000 007FC07F8000003FFFC000003FC07F0000003FFFC000001FC07F0000003FFFC000001FC0 7E0000003FFFC000000FC07E0000003FFFC000000FC07E0000003FFFC000000FC07C0000 003FFFC0000007C07C0000003FFFC0000007C07C0000003FFFC0000007C07C0000003FFF C0000007C07C0000003FFFC0000007C0FC0000003FFFC0000007E0F80000003FFFC00000 03E0F80000003FFFC0000003E0F80000003FFFC0000003E0F80000003FFFC0000003E0F8 0000003FFFC0000003E0F80000003FFFC0000003E0000000003FFFC00000000000000000 3FFFC000000000000000003FFFC000000000000000003FFFC000000000000000003FFFC0 00000000000000003FFFC000000000000000003FFFC000000000000000003FFFC0000000 00000000003FFFC000000000000000003FFFC000000000000000003FFFC0000000000000 00003FFFC000000000000000003FFFC000000000000000003FFFC000000000000000003F FFC000000000000000003FFFC000000000000000003FFFC000000000000000003FFFC000 000000000000003FFFC000000000000000003FFFC000000000000000003FFFC000000000 000000003FFFC000000000000000003FFFC000000000000000003FFFC000000000000000 003FFFC000000000000000003FFFC000000000000000003FFFC000000000000000003FFF C000000000000000003FFFC000000000000000003FFFC000000000000000003FFFC00000 0000000000003FFFC000000000000000003FFFC000000000000000003FFFC00000000000 0000003FFFC000000000000000003FFFC000000000000000003FFFC00000000000000000 3FFFC000000000000000003FFFC000000000000000003FFFC000000000000000003FFFC0 00000000000000003FFFC000000000000000003FFFC000000000000000003FFFC0000000 00000000003FFFC000000000000000003FFFC000000000000000003FFFC0000000000000 00003FFFC0000000000000FFFFFFFFFFFFF000000000FFFFFFFFFFFFF000000000FFFFFF FFFFFFF000000000FFFFFFFFFFFFF000000000FFFFFFFFFFFFF0000053517BD05E>I<00 007FFF000000000007FFFFF0000000003FFFFFFE00000000FFFFFFFF80000001FFE00FFF C0000003FE0001FFF0000007FF0000FFF8000007FF80003FFC00000FFF80003FFE00000F FFC0001FFE00000FFFC0001FFF00000FFFC0000FFF80000FFFC0000FFF80000FFFC0000F FF800007FF800007FFC00007FF800007FFC00003FF000007FFC00001FE000007FFC00000 00000007FFC0000000000007FFC0000000000007FFC0000000000007FFC0000000000007 FFC0000000000007FFC0000000007FFFFFC00000000FFFFFFFC0000000FFFFFFFFC00000 07FFFF87FFC000003FFFF007FFC000007FFF8007FFC00001FFFC0007FFC00003FFF00007 FFC00007FFE00007FFC0000FFFC00007FFC0001FFF800007FFC0003FFF000007FFC0007F FF000007FFC0007FFE000007FFC0007FFE000007FFC000FFFC000007FFC000FFFC000007 FFC000FFFC000007FFC000FFFC000007FFC000FFFC00000FFFC000FFFC00000FFFC000FF FE00001FFFC0007FFE00001DFFC0007FFE00003DFFC0003FFF000079FFE0001FFF8000F1 FFF8000FFFC003E1FFFFE007FFF81FC0FFFFF003FFFFFF807FFFF000FFFFFF001FFFF000 1FFFFC0007FFE00001FFE0000000003C387CB641>97 D<003FF0000000000000FFFFF000 0000000000FFFFF0000000000000FFFFF0000000000000FFFFF0000000000000FFFFF000 000000000003FFF000000000000000FFF000000000000000FFF000000000000000FFF000 000000000000FFF000000000000000FFF000000000000000FFF000000000000000FFF000 000000000000FFF000000000000000FFF000000000000000FFF000000000000000FFF000 000000000000FFF000000000000000FFF000000000000000FFF000000000000000FFF000 000000000000FFF000000000000000FFF000000000000000FFF000000000000000FFF000 000000000000FFF000000000000000FFF000000000000000FFF000000000000000FFF001 FFE000000000FFF00FFFFE00000000FFF03FFFFFC0000000FFF0FFFFFFF0000000FFF3FF 01FFF8000000FFF7F8003FFE000000FFFFE0000FFF000000FFFF800007FF800000FFFF00 0003FFC00000FFFE000001FFE00000FFFC000001FFF00000FFF8000000FFF80000FFF800 0000FFF80000FFF80000007FFC0000FFF80000007FFC0000FFF80000007FFE0000FFF800 00007FFE0000FFF80000007FFF0000FFF80000003FFF0000FFF80000003FFF0000FFF800 00003FFF0000FFF80000003FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF800 00003FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF800 00003FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF800 00003FFF8000FFF80000003FFF0000FFF80000003FFF0000FFF80000003FFF0000FFF800 00003FFF0000FFF80000007FFE0000FFF80000007FFE0000FFF80000007FFE0000FFF800 00007FFC0000FFF8000000FFFC0000FFF8000000FFF80000FFFC000001FFF00000FFFC00 0001FFF00000FFFE000003FFE00000FFFF000007FFC00000FFFF80000FFF800000FFCFC0 001FFF000000FF87F0007FFC000000FF03FE03FFF8000000FE00FFFFFFE0000000FC007F FFFF80000000F8001FFFFC00000000000003FFC000000041547BD24B>I<000001FFF800 0000001FFFFF80000000FFFFFFF0000003FFFFFFFC00000FFFC00FFE00001FFE0001FF00 007FFC0003FF8000FFF00007FF8001FFF00007FFC003FFE0000FFFC003FFC0000FFFC007 FFC0000FFFC00FFF80000FFFC00FFF80000FFFC01FFF800007FF801FFF000007FF803FFF 000003FF003FFF000001FE007FFF00000000007FFE00000000007FFE00000000007FFE00 00000000FFFE0000000000FFFE0000000000FFFE0000000000FFFE0000000000FFFE0000 000000FFFE0000000000FFFE0000000000FFFE0000000000FFFE0000000000FFFE000000 0000FFFE0000000000FFFE0000000000FFFE00000000007FFE00000000007FFF00000000 007FFF00000000003FFF00000000003FFF00000000003FFF00000003E01FFF80000003E0 1FFF80000007E00FFFC0000007C007FFC0000007C007FFE000000FC003FFE000001F8001 FFF000003F0000FFF800007E00007FFE0000FC00003FFF0003F800000FFFE01FF0000003 FFFFFFE0000000FFFFFF800000003FFFFE0000000001FFE0000033387CB63C>I<000000 000001FF80000000000007FFFF80000000000007FFFF80000000000007FFFF8000000000 0007FFFF80000000000007FFFF800000000000001FFF8000000000000007FF8000000000 000007FF8000000000000007FF8000000000000007FF8000000000000007FF8000000000 000007FF8000000000000007FF8000000000000007FF8000000000000007FF8000000000 000007FF8000000000000007FF8000000000000007FF8000000000000007FF8000000000 000007FF8000000000000007FF8000000000000007FF8000000000000007FF8000000000 000007FF8000000000000007FF8000000000000007FF8000000000000007FF8000000000 000007FF8000000001FFE007FF800000001FFFFC07FF80000000FFFFFF07FF80000003FF FFFFC7FF8000000FFFE03FE7FF8000001FFF0007F7FF8000007FFC0001FFFF800000FFF8 0000FFFF800001FFF000003FFF800003FFE000001FFF800007FFC000001FFF800007FFC0 00000FFF80000FFF8000000FFF80001FFF8000000FFF80001FFF0000000FFF80003FFF00 00000FFF80003FFF0000000FFF80003FFF0000000FFF80007FFE0000000FFF80007FFE00 00000FFF80007FFE0000000FFF80007FFE0000000FFF8000FFFE0000000FFF8000FFFE00 00000FFF8000FFFE0000000FFF8000FFFE0000000FFF8000FFFE0000000FFF8000FFFE00 00000FFF8000FFFE0000000FFF8000FFFE0000000FFF8000FFFE0000000FFF8000FFFE00 00000FFF8000FFFE0000000FFF8000FFFE0000000FFF80007FFE0000000FFF80007FFE00 00000FFF80007FFE0000000FFF80003FFF0000000FFF80003FFF0000000FFF80003FFF00 00000FFF80001FFF0000000FFF80001FFF0000000FFF80000FFF8000000FFF80000FFF80 00001FFF800007FFC000003FFF800003FFC000003FFF800001FFE000007FFF800000FFF0 0001FFFF8000007FF80003FFFFE000003FFE000FEFFFFF80000FFFC07FCFFFFF800007FF FFFF8FFFFF800001FFFFFE0FFFFF8000003FFFF80FFFFF80000003FFC00FFE000041547C D24B>I<000003FFC0000000003FFFFC00000001FFFFFF00000007FFFFFFC000000FFF81 FFE000003FFC007FF800007FF8003FFC0000FFF0001FFE0001FFE0000FFE0003FFC00007 FF0007FFC00007FF800FFF800003FF800FFF800003FFC01FFF800001FFC01FFF000001FF C03FFF000001FFE03FFF000001FFE07FFF000000FFE07FFE000000FFE07FFE000000FFF0 7FFE000000FFF0FFFE000000FFF0FFFE000000FFF0FFFE000000FFF0FFFE000000FFF0FF FFFFFFFFFFF0FFFFFFFFFFFFF0FFFFFFFFFFFFF0FFFFFFFFFFFFE0FFFE0000000000FFFE 0000000000FFFE0000000000FFFE0000000000FFFE0000000000FFFE00000000007FFE00 000000007FFE00000000007FFF00000000003FFF00000000003FFF00000000003FFF0000 0000E01FFF00000001F01FFF80000003F00FFF80000003F007FFC0000007E007FFC00000 07E003FFE000000FC001FFF000001FC000FFF800003F80007FFC0000FF00001FFE0003FE 00000FFFC03FF8000003FFFFFFF0000000FFFFFFC00000001FFFFE0000000001FFF00000 34387CB63D>I<0000003FFC00000003FFFF0000000FFFFFC000003FFFFFE00000FFF81F F00001FFC03FF80003FF807FF80007FF00FFFC000FFE00FFFC001FFC00FFFC001FFC00FF FC003FF800FFFC003FF800FFFC003FF8007FF8007FF0007FF8007FF0003FF0007FF0000F C0007FF0000000007FF0000000007FF0000000007FF0000000007FF0000000007FF00000 00007FF0000000007FF0000000007FF0000000007FF0000000007FF0000000007FF00000 00007FF0000000007FF0000000FFFFFFFFE000FFFFFFFFE000FFFFFFFFE000FFFFFFFFE0 00FFFFFFFFE000007FF8000000007FF8000000007FF8000000007FF8000000007FF80000 00007FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF80000 00007FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF80000 00007FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF80000 00007FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF80000 00007FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF80000 00007FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF80000 00007FF8000000007FF80000007FFFFFFE00007FFFFFFE00007FFFFFFE00007FFFFFFE00 007FFFFFFE00002E547CD329>I<00003FFF0000FF000003FFFFF007FFC0000FFFFFFC1F FFE0003FFFFFFF7FFFE0007FFC0FFFFF9FF000FFE001FFF83FF001FFC000FFE03FF003FF 80007FF01FF007FF00003FF81FE00FFF00003FFC0FC00FFF00003FFC07801FFE00001FFE 00001FFE00001FFE00003FFE00001FFF00003FFE00001FFF00003FFE00001FFF00003FFE 00001FFF00003FFE00001FFF00003FFE00001FFF00003FFE00001FFF00003FFE00001FFF 00003FFE00001FFF00001FFE00001FFE00001FFE00001FFE00000FFF00003FFC00000FFF 00003FFC000007FF00003FF8000003FF80007FF0000001FFC000FFE0000000FFE001FFC0 000000FFFC0FFF80000001FFFFFFFF00000003EFFFFFFC00000003C3FFFFF000000007C0 3FFF0000000007C000000000000007C00000000000000FC00000000000000FC000000000 00000FC00000000000000FE00000000000000FE00000000000000FF80000000000000FFE 0000000000000FFFFFFFFF00000007FFFFFFFFF8000007FFFFFFFFFF000007FFFFFFFFFF C00003FFFFFFFFFFE00001FFFFFFFFFFF00000FFFFFFFFFFF800007FFFFFFFFFFC00007F FFFFFFFFFE0001FFFFFFFFFFFF0007FFFFFFFFFFFF000FFE000003FFFF801FF80000003F FF803FF000000007FF807FE000000003FFC07FE000000001FFC0FFC000000001FFC0FFC0 00000000FFC0FFC000000000FFC0FFC000000000FFC0FFC000000000FFC0FFC000000000 FFC0FFE000000001FFC07FE000000001FF807FF000000003FF803FF000000003FF001FF8 00000007FE000FFE0000001FFC0007FF8000007FF80003FFE00001FFF00001FFFE001FFF E000007FFFFFFFFF8000000FFFFFFFFC00000001FFFFFFE0000000000FFFFC0000003C4F 7CB543>I<003FF0000000000000FFFFF0000000000000FFFFF0000000000000FFFFF000 0000000000FFFFF0000000000000FFFFF000000000000003FFF000000000000000FFF000 000000000000FFF000000000000000FFF000000000000000FFF000000000000000FFF000 000000000000FFF000000000000000FFF000000000000000FFF000000000000000FFF000 000000000000FFF000000000000000FFF000000000000000FFF000000000000000FFF000 000000000000FFF000000000000000FFF000000000000000FFF000000000000000FFF000 000000000000FFF000000000000000FFF000000000000000FFF000000000000000FFF000 000000000000FFF000000000000000FFF0001FFC00000000FFF000FFFFC0000000FFF003 FFFFF0000000FFF00FFFFFF8000000FFF01FE07FFC000000FFF03F001FFE000000FFF07C 001FFF000000FFF0F0000FFF000000FFF1E0000FFF800000FFF3C0000FFF800000FFF780 0007FF800000FFF7800007FFC00000FFFF000007FFC00000FFFE000007FFC00000FFFE00 0007FFC00000FFFC000007FFC00000FFFC000007FFC00000FFFC000007FFC00000FFFC00 0007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF800 0007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF800 0007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF800 0007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF800 0007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF800 0007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF800 0007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF800 0007FFC00000FFF8000007FFC00000FFF8000007FFC000FFFFFFF807FFFFFFC0FFFFFFF8 07FFFFFFC0FFFFFFF807FFFFFFC0FFFFFFF807FFFFFFC0FFFFFFF807FFFFFFC042537BD2 4B>I<007F000000FF800003FFE00007FFF00007FFF0000FFFF8000FFFF8000FFFF8000F FFF8000FFFF8000FFFF8000FFFF80007FFF00007FFF00003FFE00000FF8000007F000000 000000000000000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000003FF000FFFFF000FFFFF000FFFFF000FFFFF000FF FFF00001FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF000FFFFFFE0FF FFFFE0FFFFFFE0FFFFFFE0FFFFFFE01B547BD325>I<003FF000FFFFF000FFFFF000FFFF F000FFFFF000FFFFF00001FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF000FFFFFFF0FFFFFFF0FFFFFFF0FFFFFFF0FFFFFFF01C537BD225> 108 D<003FF0001FFC000000FFE00000FFFFF000FFFFC00007FFFE0000FFFFF003FFFFF0 001FFFFF8000FFFFF00FFFFFF8007FFFFFC000FFFFF01FE07FFC00FF03FFE000FFFFF03F 001FFE01F800FFF00003FFF07C001FFF03E000FFF80000FFF0F0000FFF0780007FF80000 FFF1E0000FFF8F00007FFC0000FFF3C0000FFF9E00007FFC0000FFF7800007FFBC00003F FC0000FFF7800007FFFC00003FFE0000FFFF000007FFF800003FFE0000FFFE000007FFF0 00003FFE0000FFFE000007FFF000003FFE0000FFFC000007FFE000003FFE0000FFFC0000 07FFE000003FFE0000FFFC000007FFE000003FFE0000FFFC000007FFE000003FFE0000FF F8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE 0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000 003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007 FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8 000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE00 00FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC00000 3FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FF C000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF800 0007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000 FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003F FE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE00FFFFFFF807FFFFFF C03FFFFFFEFFFFFFF807FFFFFFC03FFFFFFEFFFFFFF807FFFFFFC03FFFFFFEFFFFFFF807 FFFFFFC03FFFFFFEFFFFFFF807FFFFFFC03FFFFFFE67367BB570>I<003FF0001FFC0000 00FFFFF000FFFFC00000FFFFF003FFFFF00000FFFFF00FFFFFF80000FFFFF01FE07FFC00 00FFFFF03F001FFE000003FFF07C001FFF000000FFF0F0000FFF000000FFF1E0000FFF80 0000FFF3C0000FFF800000FFF7800007FF800000FFF7800007FFC00000FFFF000007FFC0 0000FFFE000007FFC00000FFFE000007FFC00000FFFC000007FFC00000FFFC000007FFC0 0000FFFC000007FFC00000FFFC000007FFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC0 00FFFFFFF807FFFFFFC0FFFFFFF807FFFFFFC0FFFFFFF807FFFFFFC0FFFFFFF807FFFFFF C0FFFFFFF807FFFFFFC042367BB54B>I<000001FFE000000000001FFFFE0000000000FF FFFFC000000003FFFFFFF00000000FFF807FFC0000001FFC000FFE0000007FF80007FF80 0000FFF00003FFC00001FFE00001FFE00003FFC00000FFF00003FF8000007FF00007FF80 00007FF8000FFF0000003FFC000FFF0000003FFC001FFF0000003FFE001FFF0000003FFE 003FFE0000001FFF003FFE0000001FFF003FFE0000001FFF007FFE0000001FFF807FFE00 00001FFF807FFE0000001FFF807FFE0000001FFF80FFFE0000001FFFC0FFFE0000001FFF C0FFFE0000001FFFC0FFFE0000001FFFC0FFFE0000001FFFC0FFFE0000001FFFC0FFFE00 00001FFFC0FFFE0000001FFFC0FFFE0000001FFFC0FFFE0000001FFFC0FFFE0000001FFF C0FFFE0000001FFFC07FFE0000001FFF807FFE0000001FFF807FFE0000001FFF803FFE00 00001FFF003FFF0000003FFF003FFF0000003FFF001FFF0000003FFE001FFF0000003FFE 000FFF0000003FFC000FFF8000007FFC0007FF8000007FF80003FFC00000FFF00001FFE0 0001FFE00000FFF00003FFC000007FF80007FF8000003FFE001FFF0000000FFF807FFC00 000007FFFFFFF800000000FFFFFFC0000000003FFFFF000000000001FFE00000003A387C B643>I<003FF001FFE0000000FFFFF00FFFFE000000FFFFF03FFFFFC00000FFFFF0FFFF FFF00000FFFFF3FF01FFF80000FFFFF7F8007FFE000003FFFFE0001FFF000000FFFF8000 0FFF800000FFFF000007FFC00000FFFE000007FFE00000FFFC000003FFF00000FFF80000 01FFF80000FFF8000001FFF80000FFF8000000FFFC0000FFF8000000FFFC0000FFF80000 00FFFE0000FFF80000007FFE0000FFF80000007FFF0000FFF80000007FFF0000FFF80000 007FFF0000FFF80000007FFF0000FFF80000003FFF8000FFF80000003FFF8000FFF80000 003FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF80000 003FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF80000 003FFF8000FFF80000003FFF8000FFF80000003FFF0000FFF80000007FFF0000FFF80000 007FFF0000FFF80000007FFF0000FFF80000007FFE0000FFF8000000FFFE0000FFF80000 00FFFE0000FFF8000000FFFC0000FFF8000001FFFC0000FFF8000001FFF80000FFFC0000 03FFF00000FFFC000003FFF00000FFFE000007FFE00000FFFF00000FFFC00000FFFF8000 1FFF800000FFFFC0003FFF000000FFFFF000FFFC000000FFFBFE07FFF8000000FFF8FFFF FFE0000000FFF87FFFFF80000000FFF81FFFFC00000000FFF803FFC000000000FFF80000 0000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF80000 0000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF80000 0000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF80000 0000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF80000 00000000FFFFFFF80000000000FFFFFFF80000000000FFFFFFF80000000000FFFFFFF800 00000000FFFFFFF80000000000414D7BB54B>I<000001FFE00007800000001FFFF8000F 80000000FFFFFE001F80000003FFFFFF801F8000000FFFF03FC03F8000001FFF800FE07F 8000007FFE0003F07F800000FFFC0001F8FF800001FFF80000FDFF800003FFF000007FFF 800003FFE000003FFF800007FFE000003FFF80000FFFC000001FFF80001FFFC000001FFF 80001FFF8000000FFF80003FFF8000000FFF80003FFF8000000FFF80003FFF00000007FF 80007FFF00000007FF80007FFF00000007FF80007FFF00000007FF80007FFE00000007FF 8000FFFE00000007FF8000FFFE00000007FF8000FFFE00000007FF8000FFFE00000007FF 8000FFFE00000007FF8000FFFE00000007FF8000FFFE00000007FF8000FFFE00000007FF 8000FFFE00000007FF8000FFFE00000007FF8000FFFE00000007FF8000FFFE00000007FF 80007FFF00000007FF80007FFF00000007FF80007FFF00000007FF80003FFF00000007FF 80003FFF00000007FF80003FFF80000007FF80001FFF8000000FFF80001FFF8000000FFF 80000FFFC000001FFF80000FFFC000001FFF800007FFE000003FFF800003FFF000007FFF 800001FFF00000FFFF800000FFF80001FFFF8000007FFC0003FFFF8000003FFF000FEFFF 8000000FFFC07FCFFF80000007FFFFFF0FFF80000001FFFFFE0FFF800000003FFFF80FFF 8000000003FF800FFF800000000000000FFF800000000000000FFF800000000000000FFF 800000000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF 800000000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF 800000000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF 800000000000000FFF800000000000000FFF8000000000000FFFFFFF80000000000FFFFF FF80000000000FFFFFFF80000000000FFFFFFF80000000000FFFFFFF80414D7CB547>I< 007FE003FE00FFFFE00FFF80FFFFE03FFFE0FFFFE07FFFF0FFFFE0FE1FF8FFFFE1F83FFC 03FFE3E03FFE00FFE3C07FFE00FFE7807FFE00FFEF807FFE00FFEF007FFE00FFEE007FFE 00FFFE003FFC00FFFC003FFC00FFFC001FF800FFFC000FF000FFF800000000FFF8000000 00FFF800000000FFF800000000FFF800000000FFF000000000FFF000000000FFF0000000 00FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF0000000 00FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF0000000 00FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF0000000 00FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF0000000 00FFF0000000FFFFFFFC0000FFFFFFFC0000FFFFFFFC0000FFFFFFFC0000FFFFFFFC0000 2F367CB537>I<0003FFF00F00003FFFFE1F0000FFFFFFFF0003FFFFFFFF0007FF003FFF 000FF80007FF001FE00001FF003FC00000FF003F8000007F007F8000007F007F0000003F 007F0000003F00FF0000001F00FF0000001F00FF8000001F00FF8000001F00FFC000001F 00FFF000000000FFFC00000000FFFFC00000007FFFFF0000007FFFFFF800003FFFFFFF00 003FFFFFFFC0001FFFFFFFF0000FFFFFFFF80007FFFFFFFC0003FFFFFFFE0000FFFFFFFF 00003FFFFFFF80000FFFFFFFC00000FFFFFFC0000007FFFFE00000003FFFE000000007FF F000000001FFF0780000007FF0F80000003FF0F80000001FF0FC0000001FF0FC0000000F F0FC0000000FF0FE0000000FF0FE0000000FE0FF0000000FE0FF8000001FE0FF8000001F C0FFC000001FC0FFE000003F80FFF800007F00FFFE0001FE00FFFFC00FFC00FF7FFFFFF8 00FC1FFFFFE000F807FFFF8000F000FFF800002C387CB635>I<00003E00000000003E00 000000003E00000000003E00000000003E00000000003E00000000007E00000000007E00 000000007E00000000007E0000000000FE0000000000FE0000000001FE0000000001FE00 00000001FE0000000003FE0000000007FE0000000007FE000000000FFE000000001FFE00 0000003FFE00000000FFFE00000001FFFE0000000FFFFFFFFF00FFFFFFFFFF00FFFFFFFF FF00FFFFFFFFFF00FFFFFFFFFF00003FFE000000003FFE000000003FFE000000003FFE00 0000003FFE000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE00 0000003FFE000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE00 0000003FFE000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE00 0000003FFE000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE00 07C0003FFE0007C0003FFE0007C0003FFE0007C0003FFE0007C0003FFE0007C0003FFE00 07C0003FFE0007C0003FFE0007C0003FFE0007C0003FFE0007C0001FFE000F80001FFF00 0F80001FFF000F80000FFF001F00000FFF801F000007FFC03E000003FFF0FC000001FFFF F80000007FFFF00000001FFFE000000003FF80002A4D7ECB34>I<003FF8000001FFC000 FFFFF80007FFFFC000FFFFF80007FFFFC000FFFFF80007FFFFC000FFFFF80007FFFFC000 FFFFF80007FFFFC00003FFF800001FFFC00000FFF8000007FFC00000FFF8000007FFC000 00FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC000 00FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC000 00FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC000 00FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC000 00FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC000 00FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC000 00FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC000 00FFF8000007FFC00000FFF8000007FFC00000FFF800000FFFC00000FFF800000FFFC000 00FFF800000FFFC00000FFF800001FFFC00000FFF800001FFFC000007FF800003FFFC000 007FF800003BFFC000007FF800007BFFC000003FFC0000F3FFC000003FFC0001E3FFF000 001FFE0007C3FFFFC0000FFFC03F83FFFFC00007FFFFFF03FFFFC00001FFFFFE03FFFFC0 00007FFFF803FFFFC0000007FFE003FF000042377BB54B>III<7FFFFFF0007FFFFE007FFFFFF0007FFFFE007FFFFFF0007FFFFE007FFFFFF0007F FFFE007FFFFFF0007FFFFE00007FFE00000FFF0000003FFF000007F80000001FFF800007 F00000000FFFC0000FE000000007FFC0001FC000000007FFE0003F8000000003FFF0003F 0000000001FFF8007E0000000000FFFC00FC00000000007FFE01FC00000000007FFE03F8 00000000003FFF07F000000000001FFF8FE000000000000FFFCFC0000000000007FFFF80 000000000003FFFF00000000000003FFFF00000000000001FFFE00000000000000FFFC00 0000000000007FFE000000000000003FFF000000000000003FFF000000000000001FFF80 0000000000001FFFC00000000000003FFFE00000000000007FFFF0000000000000FFFFF0 000000000001FDFFF8000000000001F8FFFC000000000003F07FFE000000000007E03FFF 00000000000FE01FFF00000000001FC01FFF80000000003F800FFFC0000000007F0007FF E000000000FE0003FFF000000000FC0001FFF800000001F80001FFF800000003F00000FF FC00000007F000007FFE0000000FE000003FFF0000001FC000001FFF800000FFF000001F FF8000FFFFFE0001FFFFFFC0FFFFFE0001FFFFFFC0FFFFFE0001FFFFFFC0FFFFFE0001FF FFFFC0FFFFFE0001FFFFFFC042357EB447>II E /Fp 69 128 df<00000000007FF8000000000007FFFF00000000001FC00FC000000000 3E0001E000000000FC0000F000000001F80001F000000003F00007F000000003E00007F0 00000007E0000FF000000007E0000FF00000000FC0000FF00000000FC0000FE00000001F C00003800000001F800000000000001F800000000000001F800000000000003F80000000 0000003F000000000000003F000000000000003F000000000000003F000000000000007F 000000000000007E000000000000007E000000000000007E000000000000007E00000000 000000FE000000000000FFFFFFFFFF000000FFFFFFFFFF000000FFFFFFFFFE00000000FC 00007E00000001FC0000FE00000001F80000FC00000001F80000FC00000001F80000FC00 000001F80001FC00000001F80001F800000003F80001F800000003F00001F800000003F0 0003F800000003F00003F000000003F00003F000000007F00003F000000007E00007F000 000007E00007E000000007E00007E000000007E00007E00000000FE0000FE00000000FC0 000FC00000000FC0000FC00000000FC0000FC00000000FC0001FC00000001FC0001F8000 00001F80001F800000001F80001F800000001F80003F80E000001F80003F01E000003F80 003F01C000003F00003F01C000003F00003F01C000003F00007F03C000003F00007E0380 00007F00007E038000007E00007E078000007E00007E070000007E00003E070000007E00 003E0E000000FE00001E1E000000FC00001F1C000000FC000007F8000000FC000001E000 0000FC00000000000001F800000000000001F800000000000001F800000000000001F000 000000000003F000000000000003F000000000001C03E000000000007F03E00000000000 FF07E00000000000FF07C00000000000FF07C00000000000FF0F800000000000FE0F0000 00000000F81F000000000000701E000000000000783C0000000000001FF0000000000000 07C00000000000003C5A83C537>12 D<0000000000FFC0000000000007FFF83F00000000 1F807E3F000000007E000F7F00000000F8001F7E00000001F0003FFE00000003F0007FFE 00000007E000FFFE00000007E000FFFC0000000FC000FFFC0000000FC0007EFC0000000F C0003DFC0000001F800001F80000001F800001F80000001F800001F80000001F800003F8 0000003F800003F00000003F000003F00000003F000003F00000003F000007F00000007F 000007E00000007F000007E00000007E000007E00000007E00000FE00000007E00000FC0 0000007E00000FC0000000FE00000FC00000FFFFFFFFFFC00000FFFFFFFFFF800000FFFF FFFFFF80000000FC00001F80000001FC00003F80000001F800003F00000001F800003F00 000001F800003F00000001F800007F00000003F800007E00000003F000007E00000003F0 00007E00000003F00000FE00000003F00000FC00000007F00000FC00000007E00000FC00 000007E00001FC00000007E00001F800000007E00001F80000000FE00001F80000000FC0 0003F80000000FC00003F00000000FC00003F00000000FC00003F00000001FC00007F000 00001F800007E00000001F800007E00000001F800007E00000001F80000FE03800003F80 000FC07800003F00000FC07000003F00000FC07000003F00000FC07000003F00001FC0F0 00007F00001F80E000007E00001F80E000007E00001F81E000007E00001F81C000007E00 000F81C00000FE00000F83800000FC00000787800000FC000007C7000000FC000001FE00 0000FC00000078000001F800000000000001F800000000000001F800000000000001F800 000000000003F000000000000003F000000000000003F000000000001C03E00000000000 7F07E00000000000FF07C00000000000FF07C00000000000FF07800000000000FF0F8000 00000000FE0F000000000000F81E000000000000F01E000000000000783C000000000000 1FF000000000000007C0000000000000405A83C539>I<0000000000FFC00003FFE00000 00000007FFF8001FFFFE00000000001FC03E007F001F80000000003E000F01F80003C000 000000FC001F03E00001E000000001F8003F87C00003E000000001F0007F8F80000FE000 000003F000FF9F80000FE000000003E000FFBF00001FE000000007E000FF3F00001FE000 000007E0007E7E00001FE00000000FC0003C7E00001FC00000000FC000007E0000070000 00000FC00000FC000000000000001FC00000FC000000000000001F800000FC0000000000 00001F800000FC000000000000001F800001FC000000000000001F800001F80000000000 00003F800001F8000000000000003F000001F8000000000000003F000001F80000000000 00003F000003F8000000000000003F000003F0000000000000007F000003F00000000000 00007E000003F0000000000000007E000003F0000000000000FFFFFFFFFFFFFFFFFE0000 00FFFFFFFFFFFFFFFFFE000000FFFFFFFFFFFFFFFFFC00000000FC000007E00000FC0000 0000FC000007E00001FC00000000FC00000FE00001F800000000FC00000FC00001F80000 0001FC00000FC00001F800000001F800000FC00003F800000001F800000FC00003F00000 0001F800001FC00003F000000001F800001F800003F000000003F800001F800007F00000 0003F000001F800007E000000003F000001F800007E000000003F000003F800007E00000 0003F000003F00000FE000000007F000003F00000FC000000007E000003F00000FC00000 0007E000003F00000FC000000007E000003F00001FC000000007E000007F00001F800000 0007E000007E00001F800000000FE000007E00001F800000000FC000007E00003F800000 000FC000007E00003F000000000FC00000FE00003F000000000FC00000FC00003F000000 001FC00000FC00007F01C000001F800000FC00007E03C000001F800000FC00007E038000 001F800001FC00007E038000001F800001F800007E038000003F800001F80000FE078000 003F000001F80000FC070000003F000001F80000FC070000003F000003F80000FC0F0000 003F000003F00000FC0E0000007F000003F000007C0E0000007E000003F000007C1C0000 007E000003F000003C3C0000007E000007E000003E380000007E000007E000000FF00000 00FC000007E0000003C0000000FC000007E000000000000000FC00000FC0000000000000 00FC00000FC000000000000001F800000FC000000000000001F800000F80000000000000 01F800001F8000000000000001F000001F8000000000001C03F038001F0000000000007F 03F0FE003F000000000000FF03E1FE003E000000000000FF03E1FE007E000000000000FF 07C1FE007C000000000000FF0781FE00F8000000000000FE0F81FC01F0000000000000F8 0F01F003E0000000000000701E00E007C0000000000000783C00781F000000000000001F F8003FFC0000000000000007E00007F0000000000000005B5A83C556>I<3C007C00FE00 FE00FF007F003F801F801FC00FC007E003E003F001F000F000780078003800100D1364C4 32>18 D<0001E00003F00007F0000FF0001FE0003FC0007F8000FE0001FC0003F80007F0 000FC0001F80001F00003E0000780000F00000E0000040000014135FC432>I<00F003F8 07FC0FFC0FFC0FFC0FFC0FFC0FFC03CC001C00180018003800300030007000E000C001C0 0180038007000E001C0038007000E000C0000E1D6BC41E>39 D<000000007000000000E0 00000001C0000000038000000007000000000E000000003C000000007800000000F80000 0000F000000001E000000003C000000007800000000F800000001F000000001E00000000 3E000000007C000000007800000000F800000001F000000001E000000003E000000007C0 00000007C00000000F800000000F800000001F000000001F000000003F000000003E0000 00007E000000007C000000007C00000000F800000000F800000001F800000001F0000000 01F000000003F000000003E000000003E000000007E000000007C000000007C00000000F C00000000FC00000000F800000000F800000001F800000001F800000001F000000001F00 0000003F000000003F000000003E000000003E000000003E000000007E000000007E0000 00007C000000007C000000007C000000007C000000007C000000007C00000000F8000000 00F800000000F800000000F800000000F800000000F800000000F800000000F800000000 F800000000F800000000F800000000780000000078000000007800000000780000000078 0000000078000000007C000000003C000000003C000000003C000000003C000000001E00 0000001E000000000E000000000F000000000F0000000007000000000380000000038000 000001C000000001C000000000E00000000060000000246472CA28>I<00000060000000 0060000000007000000000380000000038000000001C000000001E000000000E00000000 0F000000000F00000000070000000007800000000780000000078000000003C000000003 C000000003C000000003C000000003C000000003E000000003E000000001E000000001E0 00000001E000000001E000000001E000000001E000000001E000000003E000000003E000 000003E000000003E000000003E000000003E000000003E000000003E000000003E00000 0007E000000007E000000007C000000007C000000007C000000007C00000000FC0000000 0FC00000000F800000000F800000001F800000001F800000001F000000001F000000003F 000000003F000000003E000000003E000000007E000000007E000000007C00000000FC00 000000FC00000000F800000001F800000001F800000001F000000003F000000003E00000 0003E000000007E000000007C00000000FC00000000F800000000F800000001F00000000 1F000000003E000000003E000000007C000000007800000000F800000001F000000001F0 00000003E000000003C000000007C00000000F800000000F000000001E000000003E0000 00007C000000007800000000F000000001E000000003C000000007800000000F00000000 1E000000003C000000007800000000E000000000C00000000023647FCA28>I<00F003FC 07FC07FC0FFE0FFE0FFE0FFE07FC03CC000C001C00180018003800300070006000E001C0 0180038007000E001C0038007000E000C0000F1D7A891E>44 D<7FFFFFFFFFFFFFFFFFFF FFFEFFFFFE1805789723>I<0F003FC07FC07FC0FFC0FFC0FFC0FF807F003C000A0A7689 1E>I<00000000000001C000000000000003C000000000000007C000000000000007C000 00000000000F800000000000000F800000000000001F000000000000001F000000000000 003E000000000000007E000000000000007C00000000000000F800000000000000F80000 0000000001F000000000000001F000000000000003E000000000000003E0000000000000 07C00000000000000FC00000000000000F800000000000001F000000000000001F000000 000000003E000000000000003E000000000000007C00000000000000FC00000000000000 F800000000000001F000000000000001F000000000000003E000000000000003E0000000 00000007C000000000000007C00000000000000F800000000000001F800000000000001F 000000000000003E000000000000003E000000000000007C000000000000007C00000000 000000F800000000000001F800000000000001F000000000000003E000000000000003E0 00000000000007C000000000000007C00000000000000F800000000000000F8000000000 00001F000000000000003F000000000000003E000000000000007C000000000000007C00 000000000000F800000000000000F800000000000001F000000000000003F00000000000 0003E000000000000007C000000000000007C00000000000000F800000000000000F8000 00000000001F000000000000001F000000000000003E000000000000007E000000000000 007C00000000000000F800000000000000F800000000000001F000000000000001F00000 0000000003E000000000000007E000000000000007C00000000000000F80000000000000 0F800000000000001F000000000000001F000000000000003E000000000000003E000000 000000007C00000000000000FC00000000000000F800000000000001F000000000000001 F000000000000003E000000000000003E000000000000007C00000000000000FC0000000 0000000F800000000000001F000000000000001F000000000000003E000000000000003E 000000000000007C000000000000007C00000000000000F800000000000000F800000000 00000070000000000000003A647FCA32>I<00000000C000000001C000000001C0000000 03C000000007C00000000F800000001F800000003F800000007F80000001FF00000003FF 0000000FFF0000007FFF000007FCFE00000FF0FE00000700FE00000001FE00000001FC00 000001FC00000001FC00000003FC00000003F800000003F800000003F800000007F80000 0007F000000007F000000007F00000000FF00000000FE00000000FE00000000FE0000000 1FE00000001FC00000001FC00000001FC00000003FC00000003F800000003F800000003F 800000007F800000007F000000007F000000007F00000000FF00000000FE00000000FE00 000000FE00000001FE00000001FC00000001FC00000001FC00000003FC00000003F80000 0003F800000003F800000007F800000007F000000007F00000000FF00000000FF0000000 1FF00000003FF00000FFFFFFFC00FFFFFFFC00FFFFFFF800224276C132>49 D<0000003FC000000001FFF000000007C07C0000000F003E0000001C001F80000078000F 800000F00007C00001E00007E00001C00003E00003800003F00007800003F0000F000003 F0000E060003F0001E070003F8001C030003F8003C030003F80038030003F80078030003 F80070030003F80070070007F800F0060007F000E0060007F000E00E0007F000E00C000F F001E01C000FE001C018000FE001C038001FE001C070001FC000E0E0003F8000E1C0007F 80007F80007F00003E0000FE0000000001FC0000000003F80000000007F0000000000FE0 000000001F80000000003F0000000000FC0000000001F80000000003E0000000000FC000 0000003F00000000007C0000000001F00000000003E0000000000780000000001F000000 00003E00000000007C0000038000F80000038000F00000078001E00000070003C0000007 00078000000F00070000001E000F0000001E001E0000003C001C0000007C003FFC0000F8 003FFFC001F8007C0FFC07F0007803FFFFE0007001FFFFE000F0007FFFC000E0003FFF00 00E0000FFE0000E00003F800002D4478C132>I<0000001FE000000000FFFC00000003E0 3F0000000F000F8000003E0007C00000780003E00000F00003E00001E00001F00003C000 01F00007800001F00007000001F8000F000001F8000E0C0001F8001E0E0001F8001C0600 01F8001C060003F8003C060003F00038060003F00038060003F000380E0007F000380C00 07E000381C0007E0001C78000FC0000FE0001FC00007C0001F80000000003F0000000000 7E0000000000FC0000000001F80000000003F0000000000FE00000003FFF800000007FFE 000000007FF800000000007E00000000001F00000000000F800000000007C00000000007 E00000000003E00000000003F00000000003F00000000003F00000000003F00000000003 F80000000003F80000000003F80000000007F0001F000007F0007F800007F0007F800007 F0007F80000FF000FF00000FE000FF00000FE000FE00001FC000F800001FC000E000003F 8000E000003F8000E000007F0000700000FE0000700000FC0000780001F80000380003F0 00003C000FC000001E001F8000000780FE00000003FFF0000000007F800000002D4477C1 32>I<000000000380000000000FC0000000000FC0000000001FC0000000001F80000000 001F80000000001F80000000003F80000000003F00000000003F00000000003F00000000 007E00000000007E00000000007E0000000000FC0000000000FC0000000000FC00000000 01F80000000001F80000000001F80000000003F00000000003F00000000003E000000000 07E00000000007E0000000000FC0000000000FC0000000001F80000000001F8000000000 1F00000000003F00000000003E00000000007E00000000007C0000000000FC0000000000 F80000000001F00000000001F00000000003E00000000007E00000000007C0000000000F 80000000000F80E00000001F01F00000003E03F00000003C03F00000007C03F0000000F8 07F0000001F007E0000001E007E0000003E007E0000007C00FE000000F800FC000001F00 0FC000001E000FC000003C001FC0000078001F800000F0001F800001E0001F800003FFC0 3F80000FFFF83F00001FFFFF3F00007E003FFF0000780007FF0080F00001FFFFC0600000 7FFFC00000007FFE00000000FE0000000000FC0000000000FC0000000000FC0000000001 FC0000000001F80000000001F80000000001F80000000003F80000000003F00000000003 F00000000003F00000000007F00000000007E00000000007E00000000007E00000000007 E000000000038000002A557DC132>I<0000600000300000780001F000007F801FE00000 FFFFFFC00000FFFFFF800000FFFFFF000000FFFFFC000001FFFFF0000001FFFFC0000001 CFFE00000001C00000000003C00000000003800000000003800000000003800000000007 80000000000700000000000700000000000700000000000F00000000000E00000000000E 00000000000E00000000001E00000000001C07F80000001C3FFE0000001CF80F8000003D C007C000003F8007E000003E0003E000003C0003F00000780001F80000700001F8000070 0001F80000000001F80000000001FC0000000001FC0000000001FC0000000001FC000000 0003FC0000000003FC0000000003FC0000000003FC0000000007FC0000000007F8000E00 0007F8003F000007F8007F80000FF800FF80000FF000FF80000FF000FF80000FF000FF00 001FE000FE00001FE000F800003FC000E000003FC000E000007F8000E000007F0000E000 00FE0000E00001FE0000F00001FC0000700003F80000780007F000003C001FC000003E00 3F8000001F80FE0000000FFFFC00000003FFE0000000007F000000002C4476C132>I<00 380FC0001C00787FE0001C0071FFF0003C00F3FFF0007800EFFFF000F000FFFFF000F001 FFE0F001E001FF007003C003FE003807C003F800381F8007F0001C3F8007E0001FFF000F C00007DF000F8000001E001F0000003C001E0000003C001E00000078003C000000F80038 000000F00078000001F00070000001E000F0000003E000E0000003C000E0000007C00000 00000F80000000000F80000000001F00000000001F00000000003F00000000003E000000 00007E00000000007C0000000000FC0000000000F80000000001F80000000001F8000000 0003F00000000003F00000000007F00000000007E0000000000FE0000000000FC0000000 001FC0000000001FC0000000001F80000000003F80000000003F80000000007F00000000 007F00000000007F0000000000FE0000000000FE0000000001FE0000000001FE00000000 01FC0000000003FC0000000003FC0000000003F80000000007F80000000007F800000000 07F80000000007F0000000000FF0000000000FF0000000000FF0000000000FE000000000 0FC00000000007800000002E4472C132>55 D<0000001FE000000000FFFC00000003FFFF 00000007E03F8000001F800FC000003E0007E000007C0003E00000F80003F00001F00001 F00003E00001F00003E00001F00007C00001F00007C00001F0000F800001F0000F800001 F0000F800003F0001F800003E0001F800003E0001F800007E0001FC00007C0001FC0000F 80001FE0001F80001FF0003F00001FF8003E00000FFC007C00000FFF00F000000FFF83E0 000007FFC7C0000003FFFF00000001FFFC00000000FFF8000000007FFC000000003FFE00 000000FFFF80000001EFFFC000000783FFE000001F01FFE000003E00FFF000007C007FF8 0000F8003FF80001F0001FF80003E0000FF80007C00007FC000F800003FC001F800001FC 001F000001FC003F000001FC003E000000FC007E000000F8007C000000F8007C000000F8 007C000001F800FC000001F000F8000001F000F8000003E000F8000003E000F8000007C0 007C000007C0007C00000F80007C00001F00003E00003E00003F00007C00001F0001F800 000FC003F0000007F01FC0000003FFFF00000000FFFC000000001FE00000002C4477C132 >I<0000003FC000000000FFF000000003FFFC0000000FE07E0000003F803F0000007F00 1F000000FC001F800001FC000F800003F8000FC00007F0000FC0000FE0000FC0000FE000 0FC0001FC0000FC0003FC0000FC0003F80000FE0007F80000FE0007F80000FE000FF0000 0FE000FF00001FE000FF00001FE001FF00001FC001FE00001FC001FE00001FC001FE0000 3FC003FE00003FC003FC00003FC003FC00003FC003FC00007FC003FC00007F8003F80000 FF8003F80000FF8003F80000FF8003F80001FF0001F80001FF0001F80003FF0001F80007 FF0000F80007FE0000FC000FFE00007C001DFE00007C003BFE00003E0073FC00001F03E3 FC000007FF83F8000001FC07F80000000007F80000000007F0000000000FF0000000000F E0000000001FE0000000001FC0000000003F80000000003F80000000007F00000000007F 00001C0000FE00007F0000FC0000FF0001F80000FF0003F00000FF0007F00000FF000FE0 0000FE000FC00000F8003F000000F0007E000000F000FC0000007C07F00000003FFFE000 00001FFF8000000003FC000000002B4476C132>I<000F00001FC0003FC0007FE000FFE0 00FFE000FFC0007F80007F00001E00000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000F00003FC0007FC0007FC000FFC000FFC000FFC000FF8000 7F00003C0000132B76AA1E>I<0000000000038000000000000007800000000000000780 0000000000000FC00000000000000FC00000000000001FC00000000000001FC000000000 00003FC00000000000007FC00000000000007FC0000000000000FFC0000000000000FFC0 000000000001FFC0000000000001FFC0000000000003BFC0000000000007BFC000000000 00073FC000000000000F3FC000000000000E3FC000000000001C3FC000000000001C3FE0 0000000000383FE00000000000381FE00000000000701FE00000000000F01FE000000000 00E01FE00000000001C01FE00000000001C01FE00000000003801FE00000000003801FE0 0000000007001FE00000000007001FE0000000000E001FE0000000001E001FE000000000 1C001FE00000000038001FE00000000038001FF00000000070001FF00000000070000FF0 00000000E0000FF000000001E0000FF000000001C0000FF000000003C0000FF000000003 80000FF00000000700000FF000000007FFFFFFF00000000FFFFFFFF00000000FFFFFFFF0 0000001C00000FF00000003C00000FF00000003800000FF00000007000000FF000000070 00000FF0000000E000000FF8000000E000000FF8000001C0000007F8000001C0000007F8 00000380000007F800000780000007F800000700000007F800000E00000007F800001E00 000007F800001E00000007F800003C00000007F800007C00000007F80000FC00000007F8 0001FC0000000FFC0007FE0000001FFC00FFFFE00007FFFFF8FFFFE00007FFFFF8FFFFE0 0007FFFFF03D477BC648>65 D<0000FFFFFFFFFC00000000FFFFFFFFFF80000000FFFFFF FFFFE000000001FF80001FF000000000FF000007F800000001FF000003FC00000001FF00 0001FE00000001FE000001FF00000001FE000000FF00000001FE000000FF80000003FE00 00007F80000003FC0000007F80000003FC0000007F80000003FC0000007F80000007FC00 00007F80000007F80000007F80000007F8000000FF80000007F8000000FF8000000FF800 0000FF0000000FF0000001FF0000000FF0000001FE0000000FF0000003FE0000001FF000 0003FC0000001FE0000007F80000001FE000000FF80000001FE000001FF00000003FE000 003FE00000003FC000007F800000003FC00000FF000000003FC00003FC000000007FC000 0FF8000000007F8000FFC0000000007FFFFFFF00000000007FFFFFFFE000000000FF8000 07F800000000FF000001FC00000000FF000000FE00000000FF0000007F00000001FF0000 007F80000001FE0000003FC0000001FE0000003FC0000001FE0000003FC0000003FE0000 003FE0000003FC0000003FE0000003FC0000003FE0000003FC0000003FE0000007FC0000 003FE0000007F80000003FE0000007F80000003FE0000007F80000003FE000000FF80000 003FC000000FF00000007FC000000FF00000007FC000000FF0000000FF8000001FF00000 00FF8000001FE0000001FF0000001FE0000001FE0000001FE0000003FE0000003FE00000 07FC0000003FC000000FF80000003FC000001FF00000007FC000003FE00000007FC00000 7FC00000007F800001FF00000000FF80000FFE000000FFFFFFFFFFF8000000FFFFFFFFFF C0000000FFFFFFFFFE0000000041447AC345>I<000000000FF8000300000000FFFF0007 00000007FFFFC00F0000001FF803E01F0000007FC000F81E000000FF00007C3E000003FC 00003C7E00000FF000001EFE00001FE000000FFC00003FC0000007FC00007F00000007FC 0000FE00000003FC0001FC00000003F80003FC00000003F80007F800000001F8000FF000 000001F8001FE000000001F0003FC000000001F0007FC000000001F0007F8000000001F0 00FF8000000001E001FF0000000001E001FF0000000001E003FE0000000001E003FE0000 000001C007FC0000000001C007FC0000000001C00FF80000000001C00FF8000000000000 1FF80000000000001FF00000000000001FF00000000000003FF00000000000003FE00000 000000003FE00000000000003FE00000000000007FE00000000000007FC0000000000000 7FC00000000000007FC00000000000007FC0000000000000FF80000000000000FF800000 00000000FF80000000000000FF80000000000000FF80000000003800FF80000000003800 FF80000000007800FF80000000007000FF80000000007000FF8000000000F0007F800000 0000E0007F8000000001E0007F8000000001C0007F8000000003C0003F80000000038000 3F800000000780003FC00000000F00001FC00000000E00001FC00000001E00000FE00000 003C00000FF000000078000007F0000000F0000003F8000001E0000003FC000007C00000 01FE00000F800000007F00003E000000003FC000FC000000001FF807F00000000007FFFF C00000000001FFFF0000000000001FF000000000404872C546>I<0000FFFFFFFFF80000 0000FFFFFFFFFF00000000FFFFFFFFFFC000000001FF80003FF000000000FF00000FF800 000001FF000003FC00000001FF000000FE00000001FE0000007F00000001FE0000007F00 000001FE0000003F80000003FE0000001FC0000003FC0000001FC0000003FC0000000FE0 000003FC0000000FE0000007FC0000000FE0000007F80000000FF0000007F800000007F0 000007F800000007F000000FF800000007F000000FF000000007F000000FF000000007F8 00000FF000000007F800001FF000000007F800001FE000000007F800001FE000000007F8 00001FE00000000FF800003FE00000000FF800003FC00000000FF800003FC00000000FF0 00003FC00000000FF000007FC00000000FF000007F800000001FF000007F800000001FF0 00007F800000001FF00000FF800000001FE00000FF000000003FE00000FF000000003FE0 0000FF000000003FE00001FF000000003FC00001FE000000007FC00001FE000000007F80 0001FE000000007F800003FE00000000FF800003FC00000000FF000003FC00000000FF00 0003FC00000001FE000007FC00000001FE000007F800000003FC000007F800000003F800 0007F800000007F800000FF800000007F000000FF00000000FE000000FF00000001FE000 000FF00000001FC000001FF00000003F8000001FE00000007F0000001FE0000000FE0000 001FE0000001FC0000003FE0000003F80000003FC0000007F00000003FC000000FE00000 007FC000003FC00000007FC00000FF000000007F800003FE00000000FF80001FF8000000 FFFFFFFFFFE0000000FFFFFFFFFF00000000FFFFFFFFF80000000045447AC34A>I<0000 FFFFFFFFFFFFC00000FFFFFFFFFFFFC00000FFFFFFFFFFFFC0000001FF800003FF800000 00FF0000007F80000001FF0000003F80000001FF0000001F80000001FE0000000F800000 01FE0000000F80000001FE0000000F80000003FE0000000700000003FC00000007000000 03FC0000000700000003FC0000000700000007FC0000000700000007F80000000F000000 07F80000000E00000007F80000000E0000000FF80000000E0000000FF00007000E000000 0FF00007000E0000000FF0000F000E0000001FF0000E00000000001FE0000E0000000000 1FE0000E00000000001FE0001E00000000003FE0001C00000000003FC0003C0000000000 3FC0007C00000000003FC000FC00000000007FC003F800000000007FFFFFF80000000000 7FFFFFF800000000007FFFFFF80000000000FF8003F00000000000FF0001F00000000000 FF0000F00000000000FF0000F00000000001FF0000E00000000001FE0000E00000000001 FE0000E00000000001FE0001E00000000003FE0001C00070000003FC0001C00070000003 FC0001C000F0000003FC0001C000E0000007FC00000000E0000007F800000001E0000007 F800000001C0000007F800000003C000000FF8000000038000000FF0000000078000000F F0000000070000000FF00000000F0000001FF00000000F0000001FE00000001E0000001F E00000003E0000001FE00000003C0000003FE00000007C0000003FC0000000FC0000003F C0000001F80000007FC0000003F80000007FC000000FF00000007F8000003FF0000000FF 800003FFE00000FFFFFFFFFFFFE00000FFFFFFFFFFFFE00000FFFFFFFFFFFFC000004244 7AC342>I<0000FFFFFFFFFFFF800000FFFFFFFFFFFF800000FFFFFFFFFFFF80000001FF 800007FF00000000FF000000FF00000001FF0000003F00000001FF0000003F00000001FE 0000001F00000001FE0000001F00000001FE0000001F00000003FE0000000E00000003FC 0000000E00000003FC0000000E00000003FC0000000E00000007FC0000000E00000007F8 0000001E00000007F80000001C00000007F80000001C0000000FF80000001C0000000FF0 0000001C0000000FF00007001C0000000FF0000F001C0000001FF0000E00000000001FE0 000E00000000001FE0000E00000000001FE0001E00000000003FE0001C00000000003FC0 003C00000000003FC0003C00000000003FC0007C00000000007FC000F800000000007F80 03F800000000007FFFFFF800000000007FFFFFF80000000000FFFFFFF00000000000FF00 07F00000000000FF0001F00000000000FF0001F00000000001FF0000E00000000001FE00 00E00000000001FE0000E00000000001FE0001E00000000003FE0001C00000000003FC00 01C00000000003FC0001C00000000003FC0003C00000000007FC0003800000000007F800 00000000000007F80000000000000007F8000000000000000FF8000000000000000FF000 0000000000000FF0000000000000000FF0000000000000001FF0000000000000001FE000 0000000000001FE0000000000000001FE0000000000000003FE0000000000000003FC000 0000000000003FC0000000000000007FC0000000000000007FC0000000000000007FC000 000000000000FFC0000000000000FFFFFFE00000000000FFFFFFE00000000000FFFFFFE0 000000000041447AC340>I<000000000FF8000600000000FFFE000E00000007FFFF801E 0000001FF807E03E0000007F8001F03C000001FE0000787C000003F800003CFC00000FF0 00001DFC00001FE000001FF800003F8000000FF800007F0000000FF80001FE00000007F8 0003FC00000007F00003F800000007F00007F800000003F0000FF000000003F0001FE000 000003E0003FC000000003E0007FC000000003E0007F8000000003E000FF8000000003C0 01FF0000000003C001FE0000000003C003FE0000000003C003FE00000000038007FC0000 0000038007FC0000000003800FF80000000003800FF80000000000001FF8000000000000 1FF00000000000001FF00000000000003FF00000000000003FE00000000000003FE00000 000000003FE00000000000007FE00000000000007FC00000000000007FC0000000000000 7FC00000000000007FC0000000000000FF80000000000000FF8000003FFFFFE0FF800000 3FFFFFE0FF8000003FFFFFE0FF800000001FF800FF800000001FF000FF800000001FF000 FF800000001FF000FF800000001FE000FF800000001FE0007F800000003FE0007F800000 003FC0007F800000003FC0007F800000003FC0007F800000007FC0003F800000007F8000 3FC00000007F80001FC00000007F80001FC0000000FF80001FE0000000FF00000FE00000 01FF000007F0000003FF000007F8000003FF000003FC000007FE000001FE00001F3E0000 00FF00003E3E0000003FC000F81E0000001FF007F01C00000007FFFFC00C00000001FFFE 0000000000003FF0000000003F4872C54B>I<0000FFFFFF803FFFFFE00000FFFFFF803F FFFFE00000FFFFFF803FFFFFE0000001FF8000007FE000000000FF0000003FC000000001 FF0000007FC000000001FF0000007FC000000001FE0000007F8000000001FE0000007F80 00000001FE000000FF8000000003FE000000FF8000000003FC000000FF0000000003FC00 0000FF0000000003FC000001FF0000000007FC000001FF0000000007F8000001FE000000 0007F8000001FE0000000007F8000003FE000000000FF8000003FE000000000FF0000003 FC000000000FF0000003FC000000000FF0000007FC000000001FF0000007FC000000001F E0000007F8000000001FE0000007F8000000001FE000000FF8000000003FE000000FF800 0000003FC000000FF0000000003FC000000FF0000000003FC000001FF0000000007FC000 001FF0000000007FFFFFFFFFE0000000007FFFFFFFFFE0000000007FFFFFFFFFE0000000 00FF8000003FE000000000FF0000003FC000000000FF0000003FC000000000FF0000007F C000000001FF0000007FC000000001FE0000007F8000000001FE0000007F8000000001FE 000000FF8000000003FE000000FF8000000003FC000000FF0000000003FC000000FF0000 000003FC000001FF0000000007FC000001FF0000000007F8000001FE0000000007F80000 01FE0000000007F8000003FE000000000FF8000003FE000000000FF0000003FC00000000 0FF0000003FC000000000FF0000007FC000000001FF0000007FC000000001FE0000007F8 000000001FE0000007F8000000001FE000000FF8000000003FE000000FF8000000003FC0 00000FF0000000003FC000000FF0000000007FC000001FF0000000007FC000001FF00000 00007F8000001FE000000000FFC000003FF0000000FFFFFF803FFFFFE00000FFFFFF803F FFFFE00000FFFFFF803FFFFFE000004B447AC348>I<00007FFFFFE00000FFFFFFE00000 FFFFFFE0000000FFE0000000007F8000000000FF8000000000FF8000000000FF00000000 00FF0000000000FF0000000001FF0000000001FE0000000001FE0000000001FE00000000 03FE0000000003FC0000000003FC0000000003FC0000000007FC0000000007F800000000 07F80000000007F8000000000FF8000000000FF0000000000FF0000000000FF000000000 1FF0000000001FE0000000001FE0000000001FE0000000003FE0000000003FC000000000 3FC0000000003FC0000000007FC0000000007F80000000007F80000000007F8000000000 FF8000000000FF0000000000FF0000000000FF0000000001FF0000000001FE0000000001 FE0000000001FE0000000003FE0000000003FC0000000003FC0000000003FC0000000007 FC0000000007F80000000007F80000000007F8000000000FF8000000000FF0000000000F F0000000000FF0000000001FF0000000001FE0000000001FE0000000003FE0000000003F E0000000003FC000000000FFE0000000FFFFFFE00000FFFFFFE00000FFFFFFC000002B44 7BC326>I<0000001FFFFFF00000003FFFFFF00000003FFFFFF0000000000FFC00000000 000FF800000000000FF800000000000FF800000000000FF000000000000FF00000000000 1FF000000000001FF000000000001FE000000000001FE000000000003FE000000000003F E000000000003FC000000000003FC000000000007FC000000000007FC000000000007F80 00000000007F800000000000FF800000000000FF800000000000FF000000000000FF0000 00000001FF000000000001FF000000000001FE000000000001FE000000000003FE000000 000003FE000000000003FC000000000003FC000000000007FC000000000007FC00000000 0007F8000000000007F800000000000FF800000000000FF800000000000FF00000000000 0FF000000000001FF000000000001FF000000000001FE000000000001FE000000000003F E000000000003FE000000000003FC000000000003FC000000000007FC000000000007FC0 00000000007F8000000F80007F8000003FE000FF8000003FE000FF0000007FE000FF0000 007FE000FF0000007FE001FE000000FFC001FE000000FFC003FC000000FF0003FC000000 7C0007F800000070000FF000000070001FE000000038001FC00000003C003F800000001E 00FE000000000F81F80000000003FFE00000000000FF0000000000344679C333>I<0000 FFFFFFF0000000FFFFFFF0000000FFFFFFE000000001FFC00000000000FF800000000001 FF000000000001FF000000000001FE000000000001FE000000000001FE000000000003FE 000000000003FC000000000003FC000000000003FC000000000007FC000000000007F800 0000000007F8000000000007F800000000000FF800000000000FF000000000000FF00000 0000000FF000000000001FF000000000001FE000000000001FE000000000001FE0000000 00003FE000000000003FC000000000003FC000000000003FC000000000007FC000000000 007F8000000000007F8000000000007F800000000000FF800000000000FF000000000000 FF000000000000FF000000000001FF000000000001FE000000000001FE000000000001FE 000000000003FE000000100003FC000000380003FC000000380003FC000000780007FC00 0000700007F8000000700007F8000000F00007F8000000E0000FF8000001E0000FF00000 01E0000FF0000001C0000FF0000003C0001FF0000007C0001FE000000780001FE000000F 80001FE000000F80003FE000001F00003FC000003F00003FC000007F00007FC00000FE00 007FC00003FE00007F80000FFE0000FF80007FFC00FFFFFFFFFFFC00FFFFFFFFFFFC00FF FFFFFFFFF80035447AC33D>76 D<0000FFFF80000000007FFFC00000FFFFC0000000007F FFC00000FFFFC000000000FFFFC0000001FFC000000001FFC000000000FFC000000001FF 8000000001FFC000000003FF8000000001FFC000000003FF8000000001DFC0000000077F 0000000001DFC00000000E7F0000000001DFC00000000EFF0000000003CFE00000001CFF 00000000038FE00000001CFE00000000038FE000000038FE00000000038FE000000071FE 00000000078FE000000071FE00000000070FE0000000E1FC00000000070FE0000000E1FC 00000000070FE0000001C3FC000000000F0FE000000383FC000000000E0FE000000383F8 000000000E0FE000000703F8000000000E07F000000707F8000000001E07F000000E07F8 000000001C07F000000E07F0000000001C07F000001C07F0000000001C07F00000380FF0 000000003C07F00000380FF0000000003807F00000700FE0000000003807F00000700FE0 000000003807F00000E01FE0000000007807F00001C01FE0000000007003F80001C01FC0 000000007003F80003801FC0000000007003F80003803FC000000000F003F80007003FC0 00000000E003F8000E003F8000000000E003F8000E003F8000000000E003F8001C007F80 00000001E003F8001C007F8000000001C003F80038007F0000000001C003F80070007F00 00000001C003F8007000FF0000000003C001FC00E000FF00000000038001FC00E000FE00 000000038001FC01C000FE00000000038001FC038001FE00000000078001FC038001FE00 000000070001FC070001FC00000000070001FC070001FC00000000070001FC0E0003FC00 0000000F0001FC1C0003FC000000000E0001FC1C0003F8000000000E0000FE380003F800 0000000E0000FE380007F8000000001E0000FE700007F8000000001C0000FEE00007F000 0000001C0000FEE00007F0000000001C0000FFC0000FF0000000003C0000FFC0000FF000 000000380000FF80000FE000000000780000FF00000FE000000000780000FF00001FE000 000000F80000FE00001FE000000001FC00007E00001FC000000007FE00007C00003FE000 0000FFFFF00078003FFFFFC00000FFFFF00078003FFFFFC00000FFFFF00070003FFFFFC0 00005A447AC357>I<000000001FF8000000000001FFFF000000000007F01FC000000000 1F8003F0000000007E0001F800000001F80000FC00000003E000007E0000000FC000003F 0000001F8000001F8000003F0000001FC000007E0000000FC00000FC0000000FE00001F8 00000007E00003F000000007F00007F000000007F0000FE000000007F0001FC000000007 F8003FC000000003F8003F8000000003F8007F8000000003F800FF0000000003F800FE00 00000003FC01FE0000000003FC03FE0000000003FC03FC0000000003FC07FC0000000003 FC07F80000000007FC0FF80000000007FC0FF80000000007FC0FF00000000007FC1FF000 00000007FC1FF00000000007F81FE0000000000FF83FE0000000000FF83FE0000000000F F83FE0000000000FF87FC0000000001FF07FC0000000001FF07FC0000000001FF07FC000 0000003FF07FC0000000003FE0FF80000000003FE0FF80000000003FC0FF80000000007F C0FF80000000007FC0FF8000000000FF80FF8000000000FF80FF8000000000FF00FF8000 000001FF00FF8000000001FE00FF8000000003FC00FF8000000003FC007F8000000007F8 007F800000000FF0007F800000000FF0007F800000001FE0003F800000001FC0003F8000 00003F80003FC00000007F00001FC0000000FF00001FC0000001FE00000FE0000001FC00 000FE0000003F0000007F0000007E0000003F000001FC0000001F800003F80000000FC00 007E000000007E0001F8000000003F8007F0000000000FE03F800000000003FFFE000000 0000007FE0000000003E4872C54B>79 D<0000FFFFFFFFF0000000FFFFFFFFFE000000FF FFFFFFFF80000001FF80007FE0000000FF00001FF0000001FF000007F8000001FF000003 F8000001FE000003FC000001FE000001FE000003FE000001FE000003FE000001FE000003 FC000001FF000003FC000001FF000007FC000001FF000007FC000001FF000007F8000001 FF000007F8000001FF00000FF8000001FF00000FF8000003FE00000FF0000003FE00000F F0000003FE00001FF0000003FC00001FF0000007FC00001FE0000007F800001FE000000F F800003FE000000FF000003FE000001FE000003FC000001FC000003FC000003F8000007F C000007F0000007FC00000FE0000007F800003FC0000007F80000FF0000000FF80007FC0 000000FFFFFFFF00000000FFFFFFF800000000FF00000000000001FF00000000000001FF 00000000000001FE00000000000001FE00000000000003FE00000000000003FE00000000 000003FC00000000000003FC00000000000007FC00000000000007FC00000000000007F8 00000000000007F80000000000000FF80000000000000FF80000000000000FF000000000 00000FF00000000000001FF00000000000001FF00000000000001FE00000000000001FE0 0000000000003FE00000000000003FE00000000000003FC00000000000003FC000000000 00007FC00000000000007FC00000000000007F80000000000000FFC00000000000FFFFFF 8000000000FFFFFF8000000000FFFFFF800000000040447AC342>I<0000FFFFFFFF8000 0000FFFFFFFFF8000000FFFFFFFFFE00000001FF8001FF80000000FF00003FC0000001FF 00001FE0000001FF00000FF0000001FE000007F8000001FE000003F8000001FE000003FC 000003FE000003FC000003FC000003FE000003FC000003FE000003FC000003FE000007FC 000003FE000007F8000003FE000007F8000003FE000007F8000003FE00000FF8000007FC 00000FF0000007FC00000FF0000007FC00000FF000000FF800001FF000000FF800001FE0 00000FF000001FE000001FE000001FE000003FC000003FE000003F8000003FC000007F00 00003FC00000FE0000003FC00003F80000007FC00007F00000007F80001FC00000007F80 01FF000000007FFFFFF800000000FFFFFFE000000000FF0003F800000000FF0000FE0000 0000FF00007F00000001FF00003F80000001FE00001FC0000001FE00001FC0000001FE00 001FE0000003FE00001FE0000003FC00000FE0000003FC00000FE0000003FC00001FE000 0007FC00001FE0000007F800001FE0000007F800001FE0000007F800003FE000000FF800 003FE000000FF000003FE000000FF000003FE000000FF000007FC000001FF000007FC000 001FE000007FC000001FE000007FC000001FE000007FC000003FE000007FC00E003FC000 007FC00E003FC000007FC00E007FC000007F801E007FC000007F801C007F8000007F803C 00FFC000007F8038FFFFFF80003FC070FFFFFF80001FC0F0FFFFFF80000FE1E000000000 0003FF80000000000000FE003F467AC347>82 D<00000003FE000C0000000FFF801C0000 007FFFE03C000000FE03F83C000003F0007C7C000007E0003EF800000FC0001FF800001F 80000FF800003F00000FF800007E000007F00000FC000007F00000FC000003F00001F800 0003F00001F8000003E00003F0000003E00003F0000003E00007F0000003E00007E00000 03C00007E0000003C00007E0000003C0000FE0000003C0000FE000000380000FE0000003 80000FF000000380000FF000000000000FF000000000000FF800000000000FFC00000000 0007FE000000000007FFE00000000007FFFC0000000003FFFF8000000001FFFFF0000000 01FFFFFC00000000FFFFFF000000003FFFFF800000000FFFFFC000000003FFFFC0000000 003FFFE00000000007FFE00000000000FFF000000000003FF000000000001FF000000000 000FF000000000000FF0000000000007F0000000000007F0000000000007F00007000000 07F0000700000003F0000700000007F0000700000007F0000F00000007E0000F00000007 E0000E00000007E0000E0000000FE0001E0000000FC0001E0000000FC0001F0000001F80 001F0000001F80003F0000003F00003F8000003E00003F8000007E00003FC00000FC0000 7FC00001F800007FE00003F000007CF00007E00000787C001F800000F03F807F000000F0 1FFFFC000000E007FFF0000000C0007F80000000364879C537>I<01FFFFFFFFFFFFF803 FFFFFFFFFFFFF803FFFFFFFFFFFFF803FF0007FC001FF007F80007F80007F007E0000FF8 0003F007C0000FF80001F00F80000FF00001F00F00000FF00000F00F00000FF00000F01E 00001FF00000E01E00001FE00000E01C00001FE00000E03C00001FE00000E03800003FE0 0000E03800003FC00001E07800003FC00001C07000003FC00001C0F000007FC00001C0E0 00007F800001C0E000007F800001C0E000007F800001C0000000FF80000000000000FF00 000000000000FF00000000000000FF00000000000001FF00000000000001FE0000000000 0001FE00000000000001FE00000000000003FE00000000000003FC00000000000003FC00 000000000003FC00000000000007FC00000000000007F800000000000007F80000000000 0007F80000000000000FF80000000000000FF00000000000000FF00000000000000FF000 00000000001FF00000000000001FE00000000000001FE00000000000001FE00000000000 003FE00000000000003FC00000000000003FC00000000000003FC00000000000007FC000 00000000007F800000000000007F800000000000007F80000000000000FF800000000000 00FF00000000000000FF00000000000000FF00000000000001FF00000000000001FE0000 0000000001FE00000000000003FE00000000000003FE00000000000007FE000000000000 0FFF00000000007FFFFFFFC00000007FFFFFFFC00000007FFFFFFF800000003D446FC346 >I86 DI<00001FFFFFFFFFF800003FFFFFFF FFF800003FFFFFFFFFF000003FFF00001FF000003FF000003FE000007FC000007FC00000 7F800000FF8000007E000000FF000000FC000001FF000000F8000003FE000000F8000007 FC000001F000000FF8000001E000000FF0000001E000001FE0000001C000003FE0000003 C000007FC0000003800000FF80000003800001FF00000007800001FE00000007000003FE 00000007000007FC0000000700000FF80000000000001FF00000000000001FE000000000 00003FE00000000000007FC0000000000000FF80000000000001FF00000000000001FE00 000000000003FE00000000000007FC0000000000000FF80000000000001FF00000000000 001FE00000000000003FC00000000000007FC0000000000000FF80000000000001FF0000 0000000003FE00000000000003FC00000000000007FC0000000000000FF8000000000000 1FF00000E00000003FE00000E00000003FC00000E00000007FC00001E0000000FF800001 C0000001FF000001C0000003FE000003C0000003FC00000380000007FC0000038000000F F80000078000001FF00000078000003FE000000F0000003FC000000F0000007F8000001F 000000FF8000001E000001FF0000003E000003FE0000007E000007FC000000FE000007F8 000001FC00000FF8000003FC00001FF0000007FC00003FE000003FF800007FC00003FFF8 00007FFFFFFFFFF80000FFFFFFFFFFF80000FFFFFFFFFFF000003D4479C33C>90 D<00001F80000000007FE000000001F07070000007C039F800000F801DF800001F001FF8 00003E000FF000007E000FF00000FC000FF00001F80007F00001F80007E00003F00007E0 0007F00007E00007E0000FE0000FE0000FC0000FE0000FC0001FC0000FC0001FC0001FC0 003FC0001F80003F80001F80003F80001F80003F80003F80007F80003F00007F00003F00 007F00003F00007F00007F00007F00007E0000FE00007E0000FE00007E0000FE0000FE03 80FE0000FC0780FE0000FC0700FE0000FC07007E0001FC07007E0001FC0F007E0003F80E 007E0007F80E003E000FF81E003E000FF81C001F001CF81C001F0038F838000F80F07878 0007C3E07C700001FF801FE000007E00078000292D76AB32>97 D<000FE0000007FFE000 0007FFE0000007FFE00000001FC00000000FC00000001FC00000001FC00000001F800000 001F800000001F800000003F800000003F000000003F000000003F000000007F00000000 7E000000007E000000007E00000000FE00000000FC00000000FC00000000FC00000001FC 00000001F800000001F81F800001F87FE00003F9E0F80003F3C07C0003F7003E0003FE00 3E0007FC001F0007F8001F0007F8001F0007F0001F800FE0001F800FE0001F800FC0001F 800FC0001F801FC0001F801F80001F801F80001F801F80003F803F80003F803F00003F80 3F00003F803F00007F807F00007F007E00007F007E00007F007E0000FF007E0000FE00FC 0000FE00FC0000FE00FC0001FC00FC0001FC00FC0003F800FC0003F8007C0003F0007C00 07E0007C000FE0007C000FC0007C001F80003C003F00003E007E00001E00FC00000F01F8 00000783E0000003FF80000000FE000000214676C42D>I<00000FE00000007FF8000001 F81E000007E00F00000F800780001F000380007E0003C000FC001FC001FC003FC001F800 3FC003F0007F8007F0007F800FE0007F800FE0003E001FC00000001FC00000003F800000 003F800000007F800000007F000000007F000000007F00000000FF00000000FE00000000 FE00000000FE00000000FE00000000FC00000000FC00000000FC00000000FC00000000FC 00000000FC00000180FC000003C0FC00000780FC000007807C00000F007E00001E003E00 007C003E0000F0001F0003E0000F800F800007C07E000001FFF80000007FC00000222D75 AB2D>I<0000000007F000000003FFF000000003FFF000000003FFF0000000000FE00000 000007E0000000000FE0000000000FE0000000000FC0000000000FC0000000001FC00000 00001FC0000000001F80000000001F80000000003F80000000003F80000000003F000000 00003F00000000007F00000000007F00000000007E00000000007E0000000000FE000000 0000FE0000000000FC0000001F80FC0000007FE1FC000001F071FC000007C039F800000F 801DF800001F001FF800003E000FF800007E000FF00000FC000FF00001F80007F00001F8 0007F00003F00007E00007F00007E00007E0000FE0000FE0000FE0000FE0000FC0001FC0 000FC0001FC0001FC0003FC0001FC0003F80001F80003F80001F80003F80003F80007F80 003F80007F00003F00007F00003F00007F00007F00007F00007F0000FE00007E0000FE00 007E0000FE0000FE0380FE0000FE0780FE0000FC0700FE0000FC07007E0001FC07007E00 01FC0F007E0003F80E007E0007F80E003E000FF81E003E000FF81C001F001CF81C001F00 38F838000F80F078780007C3E07C700001FF801FE000007E000780002C4676C432>I<00 000FE00000007FF8000001F83E000007C00F00001F800780003F000780007E0007C000FC 0003C001F80003C003F00007C007F000078007E00007800FE0000F801FC0000F001FC000 1F003F80003E003F8000FC003F8007F0007F80FFC0007FFFFE00007FFFC000007F000000 00FF00000000FE00000000FE00000000FE00000000FE00000000FE00000000FC00000000 FC00000000FC00000000FC00000000FC00000180FC000003C07C000007807C000007807E 00000F003E00001E003E00007C001F0000F0000F0003E00007800F800003C07E000001FF F80000003FC00000222D75AB2D>I<000000000F80000000003FE000000000F870000000 01F03800000003E0F800000007E1FC00000007C3FC0000000FC7FC0000000FC7FC000000 0F87F80000001F83F00000001F81E00000001F80000000003F80000000003F0000000000 3F00000000003F00000000003F00000000007F00000000007E00000000007E0000000000 7E00000000007E0000000000FE0000000000FC0000000000FC0000000000FC00000001FF FFFE000001FFFFFE000001FFFFFE00000001F80000000001F80000000001F80000000003 F80000000003F00000000003F00000000003F00000000003F00000000007F00000000007 E00000000007E00000000007E00000000007E0000000000FE0000000000FC0000000000F C0000000000FC0000000000FC0000000001FC0000000001F80000000001F80000000001F 80000000001F80000000003F80000000003F00000000003F00000000003F00000000003F 00000000003F00000000007F00000000007E00000000007E00000000007E0000000000FE 0000000000FC0000000000FC0000000000FC0000000000FC0000000001FC0000000001F8 0000000001F80000000001F80000000001F80000000003F00000000003F00000000003F0 0000000003E00000000007E00000001C07E00000007F07C0000000FF07C0000000FF0F80 000000FF0F80000000FF0F00000000FE1F00000000F81E00000000F03C00000000787800 0000001FF00000000007C0000000002E5A83C51E>I<000000FC0000000003FF00000000 0F83838000003E01CFC000007C00EFC00000F800FFC00001F0007FC00003F0007F800007 E0003F80000FC0003F80001FC0003F80001F80003F00003F80003F00003F00007F00007F 00007F00007F00007E0000FE00007E0000FE0000FE0001FE0000FE0001FC0000FC0001FC 0000FC0001FC0001FC0003FC0001FC0003F80001F80003F80001F80003F80003F80003F8 0003F80003F00003F00003F00003F00003F00007F00003F00007F00003F00007E00003F0 0007E00003F0000FE00003F0001FE00003F0001FC00001F0003FC00001F0007FC00000F8 00FFC00000F801DF8000007C039F8000003E0F3F8000000FFC3F80000003F03F00000000 003F00000000007F00000000007F00000000007E00000000007E0000000000FE00000000 00FE0000000000FC0000000000FC00001C0001F800007F0001F80000FF0003F00000FF00 07F00000FF000FE00000FE000FC00000FE003F000000F8007E0000007C01F80000001FFF E000000003FF000000002A407BAB2D>I<0000FE000000007FFE000000007FFE00000000 7FFE0000000001FC0000000000FC0000000001FC0000000001FC0000000001F800000000 01F80000000003F80000000003F80000000003F00000000003F00000000007F000000000 07F00000000007E00000000007E0000000000FE0000000000FE0000000000FC000000000 0FC0000000001FC0000000001FC0000000001F80000000001F807F0000003F83FFC00000 3F8F81F000003F1E00F800003F3800FC00007F70007C00007FE0007C00007FC0007E0000 7FC0007E0000FF80007E0000FF00007E0000FF00007E0000FE00007E0001FC0000FE0001 FC0000FC0001F80000FC0001F80000FC0003F80001FC0003F80001F80003F00001F80003 F00001F80007F00003F80007F00003F00007E00003F00007E00007F0000FE00007E0000F E00007E0000FC0000FE0000FC0000FC0001FC0000FC0781FC0001FC0701F80001F80701F 80001F80703F80003F80F03F80003F00E03F00003F00E03F00003F01E07F00003E01C07F 00003E03C07E00003E03807E00003E0700FE00001E0F00FE00001F1E00FC00000FF80038 000003E0002D467AC432>I<00003C00007E0000FE0001FE0001FE0001FE0000FC000070 000000000000000000000000000000000000000000000000000000000000000000000000 000000000000007C0001FF0003C7800703C00F03E00E03E01C03E01C07E03807E03807E0 7807E0700FE0700FC0701FC0F01F80E01F80003F80003F00003F00007F00007E00007E00 00FE0000FC0001FC0001F80001F80003F80003F00003F01E07F01C07E01C07E01C0FE03C 0FC0380FC0380FC0780F80700F80F00F80E00F81C00783C007C78003FE0000F800174378 C11E>I<00000000F000000003F800000003F800000007F800000007F800000007F80000 0007F000000001C000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 000000000000000001F000000007FC0000001E1E000000380F000000700F800000E00F80 0001E00F800001C00F800003800F800007801F800007001F800007001F80000E001F8000 0E003F80001E003F80001C003F000000003F000000007F000000007F000000007E000000 007E00000000FE00000000FE00000000FC00000000FC00000001FC00000001FC00000001 F800000001F800000003F800000003F800000003F000000003F000000007F000000007F0 00000007E000000007E00000000FE00000000FE00000000FC00000000FC00000001FC000 00001FC00000001F800000001F800000003F800000003F800000003F000000003F000000 007F000000007E000000007E00000000FE00001C00FC00007F00FC0000FF01F80000FF03 F00000FF03F00000FE07E00000FE0FC00000F81F000000707E0000003FF80000000FC000 0000255683C11E>I<0000FE000000007FFE000000007FFE000000007FFE0000000001FC 0000000000FC0000000001FC0000000001FC0000000001F80000000001F80000000003F8 0000000003F80000000003F00000000003F00000000007F00000000007F00000000007E0 0000000007E0000000000FE0000000000FE0000000000FC0000000000FC0000000001FC0 000000001FC0000000001F80000000001F80007E00003F8001FF00003F800783C0003F00 0E07C0003F003C1FC0007F00701FC0007F00603FC0007E00E03FC0007E01C03FC000FE03 803F8000FE07000E0000FC0E00000000FC1C00000001FC3800000001FC7000000001F8E0 00000001F9C000000003FB8000000003FF0000000003FF0000000003FFF000000007F3FC 00000007F07F00000007E01FC0000007E00FE000000FE007E000000FE007F000000FC003 F000000FC003F000001FC003F00F001FC003F00F001F8003F00E001F8003F00E003F8003 F01E003F8003F01C003F0003E01C003F0003E01C007F0003E038007F0003E038007E0003 E078007E0003E07000FE0001E0E000FE0001F1E000FC00007F80003800001F00002A467A C42D>I<0003F801FFF801FFF801FFF80007F00003F00007F00007F00007E00007E0000F E0000FE0000FC0000FC0001FC0001FC0001F80001F80003F80003F80003F00003F00007F 00007F00007E00007E0000FE0000FE0000FC0000FC0001FC0001FC0001F80001F80003F8 0003F80003F00003F00007F00007F00007E00007E0000FE0000FE0000FC0000FC0001FC0 001FC0001F80001F80003F80003F80003F00003F00007F01C07F03C07E03807E03807E07 80FE0700FC0700FC0700FC0F00FC0E007C1E007C1C003C3C003E78001FF00007C0001546 78C419>I<01F0000FE00007F0000003FC007FF8003FFC0000071E01F03E00F81F00000E 1F03C01F01E00F80001E0F87001F83800FC0001C0F8E000F870007C0003C0F9C000F8E00 07C000380FB8000FDC0007E000380FF8000FFC0007E000781FF0000FF80007E000701FE0 000FF00007E000701FE0000FF00007E000701FC0000FE00007E000F01F80001FC0000FE0 00E03F80001FC0000FC000E03F00001F80000FC000003F00001F80000FC000003F00003F 80001FC000007F00003F80001F8000007E00003F00001F8000007E00003F00001F800000 7E00007F00003F800000FE00007F00003F000000FC00007E00003F000000FC00007E0000 7F000000FC0000FE00007E000001FC0000FE00007E000001F80000FC0000FE000001F800 00FC0000FC000001F80001FC0000FC078003F80001FC0001FC070003F00001F80001F807 0003F00001F80001F8070003F00003F80003F80F0007F00003F80003F00E0007E00003F0 0003F00E0007E00003F00003F01E0007E00007F00003E01C000FE00007F00003E03C000F C00007E00003E038000FC00007E00003E070000FC0000FE00001E0F0001FC0000FE00001 F1E0001F80000FC00000FF8000070000038000003E0000492D78AB50>I<01F0000FE000 03FC007FF800071E01F03E000E0F03C01F001E0F87001F801C0F8E000F803C0F9C000F80 380FB8000FC0380FF8000FC0781FF0000FC0701FE0000FC0701FE0000FC0701FC0000FC0 F01F80001FC0E03F80001F80E03F00001F80003F00001F80003F00003F80007F00003F00 007E00003F00007E00003F00007E00007F0000FE00007E0000FC00007E0000FC0000FE00 00FC0000FC0001FC0000FC0001F80001FC0001F80001F80001F80001F80F03F80003F80E 03F00003F00E03F00003F00E03F00007F01E07F00007E01C07E00007E01C07E00007E03C 07E00007C0380FE00007C0780FC00007C0700FC00007C0E00FC00003C1E01FC00003E3C0 1F800001FF00070000007C00302D78AB37>I<00000FE00000007FFC000001F83E000007 E00F80000F8007C0001F0007C0007E0003E000FC0003F000FC0003F001F80001F003F000 01F807F00001F80FE00001F80FE00001F81FC00001F81FC00001F83F800001F83F800003 F87F800003F87F000003F87F000003F87F000007F8FF000007F0FE000007F0FE000007F0 FE00000FF0FE00000FE0FC00000FE0FC00001FC0FC00001FC0FC00001F80FC00003F80FC 00003F00FC00007F00FC00007E00FC0000FC007C0001F8007E0003F0003E0003E0003E00 07C0001F001F80000F803E000007C0FC000001FFF00000003F800000252D75AB32>I<00 03E0007E000007F801FF80000E3C0783E0001C1E0F01F0003C1F1C00F800381F3800F800 781F70007C00701FE0007C00701FE0007C00703FC0007E00E03F80007E00E03F80007E00 E03F00007E01E07F00007E01C07F00007E01C07E00007E00007E00007E0000FE0000FE00 00FE0000FE0000FC0000FE0000FC0000FE0001FC0001FE0001FC0001FC0001F80001FC00 01F80001FC0003F80003FC0003F80003F80003F00003F80003F00003F80007F00007F000 07F00007F00007E0000FE00007E0000FE0000FE0000FC0000FE0001F80000FE0003F8000 0FE0003F00001FF0007E00001FF000FC00001FF001F800001FB803F000003F9C07E00000 3F9E0F8000003F07FE0000003F01F80000007F00000000007F00000000007E0000000000 7E0000000000FE0000000000FE0000000000FC0000000000FC0000000001FC0000000001 FC0000000001F80000000001F80000000003F80000000003F80000000007F800000000FF FFF0000000FFFFF0000000FFFFE00000002F3F7FAB32>I<00001F800C00007FE01C0001 F0703C0007C03878000F801CF8001F001DF8003E000FF8007E000FF000FC000FF001F800 07F001F80007F003F00007E007F00007E007E00007E00FE0000FE00FE0000FC01FC0000F C01FC0000FC03FC0001FC03F80001F803F80001F803F80001F807F80003F807F00003F00 7F00003F007F00003F007F00007F00FE00007E00FE00007E00FE00007E00FE0000FE00FE 0000FC00FE0000FC007E0001FC007E0001FC007E0003F8007E0007F8003E000FF8003E00 0FF8001F001FF0001F003BF0000F80F3F00007C3E7F00001FF87E000007E07E000000007 E00000000FE00000000FC00000000FC00000000FC00000001FC00000001F800000001F80 0000001F800000003F800000003F000000003F000000007F000000007F00000000FF0000 007FFFFE00007FFFFE00007FFFFC00263F76AB2D>I<01F0003F8003FC01FFF0071E03C0 F80E0F0F007C1E0F9E01FC1C0F9C01FC1C0FB803FC380FF003FC380FF003FC381FE003F8 781FE000E0701FC00000701FC00000F01F800000E03F800000E03F000000003F00000000 3F000000007F000000007E000000007E000000007E00000000FE00000000FC00000000FC 00000000FC00000001FC00000001F800000001F800000001F800000003F800000003F000 000003F000000003F000000007F000000007E000000007E000000007E00000000FE00000 000FC00000000FC00000000FC00000001FC00000001F800000000700000000262D78AB29 >I<00000FE00000007FF8000001F01E000003C00F000007800780000F000380001E0003 C0001E0007C0003C001FC0003C001FC0007C003F800078003F80007C003F80007C000E00 007C000000007E000000007F000000007FF00000007FFF0000003FFFC000001FFFF00000 0FFFF8000007FFFC000000FFFC0000000FFE00000001FE00000000FE000000007F000000 003F000E00003F003F00001E007F80001E007F80001E007F80003E00FF00003C00FF0000 3C00FC000078007000007800700000F000780001E0003C0003C0001E000F80000F803E00 0003FFF80000007FC00000222D7AAB28>I<000070000001F8000001F8000001F8000003 F8000003F0000003F0000003F0000007F0000007E0000007E0000007E000000FE000000F C000000FC000000FC000001FC000001F8000001F80007FFFFFE0FFFFFFE0FFFFFFC0003F 0000003F0000007F0000007E0000007E0000007E000000FE000000FC000000FC000000FC 000001FC000001F8000001F8000001F8000003F8000003F0000003F0000003F0000007F0 000007E0000007E0000007E000000FE000000FC000000FC000000FC007801FC007001F80 07001F800F001F800E003F801E003F001C003F003C003F0038003F0070001F00F0001F01 E0000F03C0000F87800007FE000001F800001B3F78BD20>I<007C0000000001FF000007 0003C780001F800703C0001F800F03E0001F800E03E0003F801C03E0003F801C07E0003F 003807E0003F003807E0007F007807E0007F00700FE0007E00700FC0007E00701FC000FE 00F01F8000FE00E01F8000FC00003F8000FC00003F0001FC00003F0001FC00007F0001F8 00007E0001F800007E0003F80000FE0003F80000FC0003F00000FC0003F00000FC0007F0 0001FC0007F00001F80007E00001F80007E00001F8000FE03803F8000FE07803F0000FC0 7003F0000FC07003F0000FC07003F0001FC0F003F0001F80E003F0003F80E001F0003F81 E001F0007F81C001F800EF83C000F801EF8380007C03C78780003E0F07C700001FFE01FE 000003F00078002D2D78AB34>I<007C00003801FF0000FC03C78001FE0703C001FE0F03 E001FE0E03E001FE1C03E000FE1C07E0007E3807E0007E3807E0003E7807E0003E700FE0 001E700FC0001E701FC0001EF01F80001CE01F80001C003F80001C003F00003C003F0000 38007F000038007E000038007E00007800FE00007000FC00007000FC00007000FC0000F0 01FC0000E001F80000E001F80001E001F80001C001F80001C003F000038003F000038003 F000070003F000070003F0000E0001F0000E0001F0001C0001F800380000F800780000FC 00F000007C01E000003F078000000FFF00000003F80000272D78AB2D>I<007C00000000 038001FF00000E000FC003C780003F001FE00703C0003F001FE00E03E0003F001FE00E03 E0007F001FE01C03E0007E000FE01C07E0007E0007E03807E0007E0007E03807E000FE00 03E07807E000FC0003E0700FE000FC0003E0700FC000FC0001E0701FC001FC0001E0F01F 8001F80001C0E01F8001F80001C0003F8001F80001C0003F0003F80003C0003F0003F000 0380007F0003F0000380007E0003F0000380007E0007F000078000FE0007F000070000FC 0007E000070000FC0007E000070000FC000FE0000F0001FC000FE0000E0001F8000FC000 0E0001F8000FC0000E0001F8000FC0001C0001F8000FC0001C0003F0001F80001C0003F0 001F8000380003F0001F8000380003F0001F8000700001F0001F8000700001F0003F8000 E00001F8003F8000E00001F8007FC001C00000F800F7C003C00000FC00E7E0078000007E 01C3E00F0000001F0781F81E0000000FFF007FF800000001FC000FE000003B2D78AB41> I<0000F8003F000007FE00FFE0000F0F83C0F0001C07C780F8003803CF03F8007003EE03 F800E003FC07F801E003FC07F801C003F807F803C003F807F0038003F801C0078003F000 00070003F00000070007F000000F0007E000000E0007E00000000007E0000000000FE000 0000000FC0000000000FC0000000000FC0000000001FC0000000001F80000000001F8000 0000001F80000000003F80000000003F00000000003F00000000003F00000000007F0003 C000007F00038000007E00038000007E0003800000FE0007001E00FE0007003F00FE000F 007F81FC000E007F81FE001C00FF83FE003C00FF03BE007800FE079E00F0007C0F1F01E0 003C1E0F83C0001FF803FF000007E000FC00002D2D7CAB2D>I<007C0000000001FF0000 070003C780001F800703C0001F800F03E0001F800E03E0003F801C03E0003F001C07E000 3F003807E0003F003807E0007F007807E0007E00700FE0007E00700FC0007E00701FC000 FE00F01F8000FC00E01F8000FC00003F8000FC00003F0001FC00003F0001F800007F0001 F800007E0001F800007E0003F80000FE0003F00000FC0003F00000FC0003F00000FC0007 F00001FC0007E00001F80007E00001F80007E00001F8000FE00003F8000FC00003F0000F C00003F0000FC00003F0001FC00003F0001F800003F0001F800003F0003F800001F0003F 800001F0007F000001F800FF000000F801FF0000007C03FF0000003E0F7E0000001FFE7E 00000003F07E0000000000FE0000000000FC0000000000FC0000000001FC0000000001F8 00001F0001F800007F8003F000007F8003F000007F8007E00000FF000FC00000FF000F80 0000FE001F800000F0003F00000070007E0000007800F80000003801F00000001E07C000 00000FFF0000000001FC00000000294078AB2F>I<00007C00070001FF000F0003FF800E 000FFF801E001FFFC03C001FFFE038003F03F078007C00FDF00078003FE000700003C000 F000038000E00007800000000F000000001E000000003C000000007800000000F0000000 01E000000003C000000007800000000F000000001E000000003C000000007800000000F0 00000001E000000003C000000007800000000F000000001E0000F0003C0000E000780000 E000F00001E001E00001E003C00003C007B00007C007FE000F800FCF801F801F07E07F00 3E03FFFE003C01FFFC007800FFF8007000FFF000F0007FC000E0001F0000282D7BAB28> II<0F0007803F801FC07FC03FE0FFC07FE0 FFC07FE0FFC07FE0FFC07FE0FF807FC07F003F803C001E001B0A66C232>127 D E /Fq 3 91 df<00000001FFE000300000003FFFFC0078000001FFFFFF007800000FFF FFFFC0F800003FFFC07FF8F80000FFFE000FFFF80001FFF80003FFF80007FBF00001FFF8 000FE7E000007FF8001F87C000003F78003F0F8000001F78007E1F8000000FF800FC1F00 00000FF801F83E00000007F803F03E00000003F807E07C00000003F807C07C00000001F8 0F807800000001F80F80F800000000F81F00F800000000F81F00F000000000783E01F000 000000783E01F000000000783C01E000000000787C01E000000000307C01E00000000000 7801E000000000007803E00000000000F803E00000000000F803C00000000000F003C000 00000000F003C00000000000F003C00000000000F003C00000000000F003C00000000000 F003C00000000000F003C00000000000F003C00000000000F003C00000000000F003C000 00000000F003C00000000000F003C00000000000F803C00000000000F803C00000000000 7803E000000000007803E000000000007C01E000000000007C01E000000000003C01E000 000000003E01F000000000003E01F000000000001F00F000000000001F00F00000000000 0F80F800000000000F80F8000000000607C07C000000000F07E07C000000001F03F03E00 0000003F01F83E000000007E00FC1F000000007C007E1F80000000FC003F0F80000001F8 001F87C0000007F0000FE7E000000FE00007FBF800003FC00001FFFE0001FF800000FFFF C00FFE0000003FFFFFFFFC0000000FFFFFFFF000000001FFFFFFC0000000003FFFFE0000 00000001FFF0000040487CC52E>67 D<7FFFFFFFFFC0000000FFFFFFFFFFFC000000FFFF FFFFFFFF8000007FFFFFFFFFFFE0000000F807F00FFFF8000000F807C001FFFE00000078 078000FCFF000000780780007C3F800000780780003E0FC00000780780003E07E0000078 0780001E03F00000780780001F01F00000780780001F00F00000780780000F00F8000078 0780000F00F80000780780000F00780000780780000F00780000780780000F0078000078 0780000F00780000780780000F00780000780780000F00F80000780780000F00F8000078 0780001F00F00000780780001F01F00000780780001E03F00000780780001E07E0000078 0780003E0FC00000780780007E3F80000078078000FDFF00000078078007FFFE00000078 07FFFFFFF80000007807FFFFFFE00000007807FFFFFF000000007807FFFFF00000000078 0787C1F000000000780787C0F800000000780783E0FC00000000780783E07C0000000078 0781F03E00000000780781F03E00000000780780F81F00000000780780F81F8000000078 07807C0F800000007807807C07C00000007807803E07C00000007807803F03E000000078 07801F03F00000007807800F81F00000007807800F80F800000078078007C0F800000078 078007C07C00000078078003E07E00000078078003E03E00000078078001F01F00000078 078001F01F80000078078000F80FC0000078078000F807C00000780780007C03E0000078 0780007E03F00000780780003E01F80000780780001F00FC0000780780001F007C0000F8 07C0000F803E0000F807C0000F803F807FFFFFFF8007FFFFE0FFFFFFFFC007FFFFF0FFFF FFFFC003FFFFF07FFFFFFF8001FFFFE044447EC33D>82 D<03FFFFFFFFFFFE0007FFFFFF FFFFFF0007FFFFFFFFFFFF0007FFFFFFFFFFFF000787FF000F803E00078FF0001F807E00 07BFC0001F007C0007FF00003E00F80007FC00003E00F8000FF800007C01F0000FF00000 FC03F0000FE00000F803E0000FE00001F007C0000FC00001F007C0000F800003E00F8000 0F800007E01F80000F800007C01F00000F00000F803E00000F00000F803E00000F00001F 007C00000600003F00FC00000000003E00F800000000007C01F000000000007C01F00000 000000F803E00000000001F807E00000000001F007C00000000003E00F800000000003E0 0F800000000007C01F000000000007C03F00000000000F803E00000000001F807C000000 00001F007C00000000003E00F800000000003E01F800000000007C01F00000000000FC03 E00000000000F803E00000000001F007C00000000001F007C00000000003E00F80000000 0007E01F800000600007C01F000000F0000F803E000000F0000F803E000000F0001F007C 000001F0003F00FC000001F0003E00F8000001F0007C01F0000003E0007C01F0000003E0 00F803E0000007E001F807E0000007E001F007C000000FE003E00F8000001FE003E00F80 00001FE007C01F0000003FC00FC03F0000007FC00F803E000000FFC01F007C000001FBC0 1F007C000007F3C03E00F800000FE7C07E01F800007F87C07C01F00003FF0780FFFFFFFF FFFFFF80FFFFFFFFFFFFFF80FFFFFFFFFFFFFF807FFFFFFFFFFFFF003C447DC345>90 D E /Fr 10 127 df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s 34 121 df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t 28 127 df0 D<00000060000000000000 F0000000000000F0000000000001F8000000000003FC000000000003FC000000000007FE 000000000006FE00000000000E7F00000000000C7F00000000001C3F8000000000183F80 00000000301FC000000000300FC000000000600FE0000000006007E000000000C007F000 000000C003F0000000018003F8000000018001F8000000030001FC000000070000FE0000 00060000FE0000000E00007F0000000C00007F0000001C00003F8000001800003F800000 3800001FC000003000001FC000006000000FE0000060000007E00000C0000007F00000C0 000003F0000180000003F8000180000001F8000300000001FC000700000000FE00060000 0000FE000E000000007F000C000000007F001C000000003F8018000000003F803FFFFFFF FFFFC03FFFFFFFFFFFC07FFFFFFFFFFFE07FFFFFFFFFFFE0FFFFFFFFFFFFF0342F7DAE3B >I<00007FE000000007FFFE0000001FC03F8000007E0007E00001FC0003F80003F80001 FC0007F00000FE000FE000007F001FC000003F801FC000003F803F8000001FC03F800000 1FC07F0000000FE07F0000000FE07F0000000FE07F0000000FE07F0000000FE07F000000 0FE07F0000000FE07F0000000FE03F8000001FC03F8000001FC03F8000001FC01F800000 1F801FC000003F800FC000003F000FC000003F0007E000007E0007E000007E0003E00000 7C0001F00000F80001F00000F80000F00000F00000780001E00000780001E00000380001 C000C03C0003C030C01C00038030601C00038060600C00030060600E00070060700E0007 00E07FFE0007FFE03FFE0007FFC03FFE0007FFC03FFE0007FFC02C2E7DAD33>10 D<00030007000E001C0038007000F001E001C003C0078007800F000F001E001E001E003C 003C003C003C0078007800780078007800F800F800F000F000F000F000F000F000F000F0 00F000F000F000F800F800780078007800780078003C003C003C003C001E001E001E000F 000F000780078003C001C001E000F000700038001C000E0007000310437AB11B>40 DI<0000 038000000000038000000000038000000000038000000000038000000000038000000000 038000000000038000000000038000000000038000000000038000000000038000000000 038000000000038000000000038000000000038000000000038000000000038000000000 03800000000003800000000003800000000003800000FFFFFFFFFFFCFFFFFFFFFFFCFFFF FFFFFFFC0000038000000000038000000000038000000000038000000000038000000000 038000000000038000000000038000000000038000000000038000000000038000000000 038000000000038000000000038000000000038000000000038000000000038000000000 038000000000038000000000038000000000038000000000038000002E2F7CA737>43 D<003FC00000FFF00003E07C0007C03E000F801F000F000F001E0007801E0007803E0007 C03E0007C07C0003E07C0003E07C0003E07C0003E07C0003E0FC0003F0FC0003F0FC0003 F0FC0003F0FC0003F0FC0003F0FC0003F0FC0003F0FC0003F0FC0003F0FC0003F0FC0003 F0FC0003F0FC0003F0FC0003F0FC0003F07C0003E07C0003E07C0003E07E0007E03E0007 C03E0007C03E0007C01F000F800F000F000F801F0007C03E0003F0FC0000FFF000003FC0 001C2D7DAB23>48 D<000C00003C00007C0003FC00FFFC00FC7C00007C00007C00007C00 007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00 007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00 007C00007C00007C00007C00007C00007C00007C00007C0000FE007FFFFE7FFFFE172C7A AB23>I<007F800001FFF0000780FC000E003F001C001F8038000FC070000FC0600007E0 F00007E0FC0007F0FE0007F0FE0003F0FE0003F0FE0003F07C0007F0000007F0000007F0 000007E000000FE000000FC000001FC000001F8000003F0000007E0000007C000000F800 0001F0000003E0000007C000000F8000001E0000003C00000078000000F0003000E00030 01C0003003800060070000600E0000E01FFFFFE03FFFFFE07FFFFFC0FFFFFFC0FFFFFFC0 1C2C7DAB23>I<003FC00001FFF00007C0FC000E007E001C003F001C001F803F001FC03F 001FC03F800FC03F000FC03F000FC00C001FC000001FC000001F8000001F8000003F0000 003E0000007C000000F8000003F00000FFC00000FFF0000000FC0000003F0000001F8000 001FC000000FC000000FE000000FE0000007F0000007F0380007F07C0007F0FE0007F0FE 0007F0FE0007F0FE000FE0F8000FE060000FC070001FC038001F801E003F000780FC0001 FFF000007FC0001C2D7DAB23>I<00000E0000000E0000001E0000003E0000003E000000 7E000000FE000000FE000001BE000003BE0000033E0000063E00000E3E00000C3E000018 3E0000383E0000303E0000603E0000E03E0000C03E0001803E0003803E0003003E000600 3E000E003E000C003E0018003E0038003E0030003E0060003E00E0003E00FFFFFFFCFFFF FFFC00003E0000003E0000003E0000003E0000003E0000003E0000003E0000003E000000 3E0000007F00001FFFFC001FFFFC1E2D7EAC23>I<0003F800000FFE00003E078000F801 8001F007C003E00FC007C00FC00F800FC00F800FC01F0007801F0000003E0000003E0000 007E0000007E0000007C0000007C0FC000FC3FF000FCF07C00FDC01E00FF800F00FF000F 80FF0007C0FE0007E0FE0007E0FE0003E0FC0003F0FC0003F0FC0003F0FC0003F07C0003 F07C0003F07C0003F07E0003F07E0003F03E0003E03E0007E01E0007E01F0007C00F000F 8007801F0003C03E0001E07C00007FF000001FC0001C2D7DAB23>54 D<300000003C0000003FFFFFF83FFFFFF83FFFFFF07FFFFFF07FFFFFE0700001C0600001 8060000380C0000700C0000E00C0000C0000001C000000380000003000000070000000E0 000001C0000001C00000038000000380000007000000070000000F0000000E0000001E00 00001E0000003E0000003E0000003E0000003C0000007C0000007C0000007C0000007C00 0000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC00 00007800001D2E7CAC23>I<3C7EFFFFFFFF7E3C000000000000000000000000003C7EFF FFFFFF7E3C081D7A9C14>58 D61 D87 D<00FF000007FFC0000F01F0001C00F8003F007C 003F003E003F003E003F003F001E001F0000001F0000001F0000001F0000001F000007FF 00007FFF0001FE1F0007F01F001FC01F003F801F007F001F007E001F00FE001F06FC001F 06FC001F06FC001F06FC003F06FE003F067E007F067F00EF8C1F83C7FC0FFF03F801FC01 E01F207D9E23>97 D<001FE000007FFC0001F01E0003E0070007C01F800F801F801F001F 803F001F803E000F007E0000007E0000007C000000FC000000FC000000FC000000FC0000 00FC000000FC000000FC000000FC000000FC0000007E0000007E0000007E0000C03F0000 C01F0001C01F8001800FC0038007E0070001F03E00007FF800001FC0001A207E9E1F>99 D<001F800000FFF00003E0780007C03E000F801E001F001F001F000F803E000F807E0007 807E0007C07C0007C0FC0007C0FC0007C0FC0007C0FFFFFFC0FFFFFFC0FC000000FC0000 00FC000000FC000000FC0000007E0000007E0000003E0000C03F0000C01F0001C00F8003 800FC0030003E00F0001F03C00007FF800001FC0001A207E9E1F>101 D<003F00F800FFC3FE03E1FF1E07807C1E0F807C0C1F003E001F003E003E001F003E001F 003E001F003E001F003E001F003E001F003E001F001F003E001F003E000F807C00078078 000FE1F0000CFFC0001C3F00001C0000001C0000001C0000001E0000001F0000000FFFF8 000FFFFF0007FFFFC00FFFFFF01E0007F83C0000F87800007CF800007CF000003CF00000 3CF000003CF000003CF800007C7C0000F83E0001F01F0003E007E01F8001FFFE00003FF0 001F2D7E9D23>103 D<07C0FFC0FFC00FC007C007C007C007C007C007C007C007C007C0 07C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C0 07C007C007C007C007C007C007C007C007C007C007C007C00FE0FFFEFFFE0F2E7EAD14> 108 D<07C0FE0000FFC3FF8000FFC703E0000FDE01F00007F801F00007F000F80007F000 F80007E000F80007E000F80007C000F80007C000F80007C000F80007C000F80007C000F8 0007C000F80007C000F80007C000F80007C000F80007C000F80007C000F80007C000F800 07C000F80007C000F80007C000F80007C000F80007C000F80007C000F8000FE001FC00FF FE1FFFC0FFFE1FFFC0221E7E9D27>110 D<07C0FE0000FFC7FF8000FFCF03E0000FDC01 F00007F800FC0007F0007E0007E0003E0007C0003F0007C0001F8007C0001F8007C0001F 8007C0000FC007C0000FC007C0000FC007C0000FC007C0000FC007C0000FC007C0000FC0 07C0000FC007C0001FC007C0001F8007C0001F8007C0003F0007C0003F0007E0007E0007 F0007C0007F000F80007FC01F00007CE07E00007C7FF800007C1FC000007C000000007C0 00000007C000000007C000000007C000000007C000000007C000000007C000000007C000 00000FE0000000FFFE000000FFFE000000222B7E9D27>112 D<0781F8FF87FEFF8E3F0F 9C3F07B83F07B03F07F01E07E00007E00007E00007E00007C00007C00007C00007C00007 C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C0000F E000FFFF00FFFF00181E7E9D1C>114 D<00600000600000600000600000E00000E00000 E00001E00003E00003E00007E0001FE000FFFFF0FFFFF003E00003E00003E00003E00003 E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E01803 E01803E01803E01803E01803E01803E01803E03801F03001F07000F860003FE0000F8015 2A7FA81B>116 D118 D121 D<0780080FE01C1FF8383FFFF0707FE0E01FC040078016077AAC23>126 D E /Fu 22 113 df<000001C0000003C00000078000000F0000001E0000003C0000007C 000000F8000001F0000003F0000003E0000007C000000FC000000F8000001F8000003F00 00003F0000007E0000007E000000FC000000FC000001F8000001F8000001F8000003F000 0003F0000007F0000007E0000007E000000FE000000FC000000FC000001FC000001FC000 001F8000001F8000003F8000003F8000003F8000003F8000003F0000007F0000007F0000 007F0000007F0000007F0000007F0000007F000000FE000000FE000000FE000000FE0000 00FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE0000 00FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE0000 00FE0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000003F0000 003F8000003F8000003F8000003F8000001F8000001F8000001FC000001FC000000FC000 000FC000000FE0000007E0000007E0000007F0000003F0000003F0000001F8000001F800 0001F8000000FC000000FC0000007E0000007E0000003F0000003F0000001F8000000F80 00000FC0000007C0000003E0000003F0000001F0000000F80000007C0000003C0000001E 0000000F0000000780000003C0000001C01A7771832E>0 DI12 D<00000000001E00000000003E00000000007C0000000000F80000000001F00000 000003E00000000007C0000000000FC0000000001F80000000003F00000000007E000000 00007C0000000000FC0000000001F80000000003F00000000007F00000000007E0000000 000FC0000000001F80000000003F80000000003F00000000007F0000000000FE00000000 00FC0000000001FC0000000001F80000000003F80000000007F00000000007F000000000 0FE0000000000FE0000000001FC0000000001FC0000000003F80000000003F8000000000 7F00000000007F0000000000FE0000000000FE0000000001FE0000000001FC0000000003 FC0000000003F80000000007F80000000007F80000000007F0000000000FF0000000000F E0000000001FE0000000001FE0000000001FC0000000003FC0000000003FC0000000003F C0000000007F80000000007F80000000007F8000000000FF0000000000FF0000000000FF 0000000001FF0000000001FE0000000001FE0000000001FE0000000003FE0000000003FC 0000000003FC0000000003FC0000000007FC0000000007FC0000000007F80000000007F8 000000000FF8000000000FF8000000000FF8000000000FF0000000000FF0000000000FF0 000000001FF0000000001FF0000000001FF0000000001FE0000000001FE0000000001FE0 000000003FE0000000003FE0000000003FE0000000003FE0000000003FE0000000003FC0 000000003FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0 000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0 00000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF80 00000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF80 00000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF80 00000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF80 00000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF80 00000000FF8000000000FF8000000000FF8000000000FF80000000007FC0000000007FC0 000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0 000000007FC0000000007FC0000000007FC0000000003FC0000000003FC0000000003FE0 000000003FE0000000003FE0000000003FE0000000003FE0000000001FE0000000001FE0 000000001FE0000000001FF0000000001FF0000000001FF0000000000FF0000000000FF0 000000000FF0000000000FF8000000000FF8000000000FF80000000007F80000000007F8 0000000007FC0000000007FC0000000003FC0000000003FC0000000003FC0000000003FE 0000000001FE0000000001FE0000000001FE0000000001FF0000000000FF0000000000FF 0000000000FF00000000007F80000000007F80000000007F80000000003FC0000000003F C0000000003FC0000000001FC0000000001FE0000000001FE0000000000FE0000000000F F00000000007F00000000007F80000000007F80000000003F80000000003FC0000000001 FC0000000001FE0000000000FE0000000000FE00000000007F00000000007F0000000000 3F80000000003F80000000001FC0000000001FC0000000000FE0000000000FE000000000 07F00000000007F00000000003F80000000001F80000000001FC0000000000FC00000000 00FE00000000007F00000000003F00000000003F80000000001F80000000000FC0000000 0007E00000000007F00000000003F00000000001F80000000000FC00000000007C000000 00007E00000000003F00000000001F80000000000FC00000000007C00000000003E00000 000001F00000000000F800000000007C00000000003E00000000001E2FEE6B8349>18 DIII[<000000000003E0000000000007E000000000000FC000000000001F800000 0000003F8000000000003F0000000000007E000000000000FC000000000001FC00000000 0003F8000000000003F0000000000007E000000000000FE000000000001FC00000000000 1F8000000000003F8000000000007F000000000000FE000000000000FE000000000001FC 000000000003FC000000000003F8000000000007F0000000000007F000000000000FE000 000000001FE000000000001FC000000000003FC000000000003F8000000000007F800000 0000007F000000000000FF000000000001FE000000000001FE000000000003FC00000000 0003FC000000000007F8000000000007F800000000000FF000000000000FF00000000000 0FF000000000001FE000000000001FE000000000003FC000000000003FC000000000007F C000000000007F8000000000007F800000000000FF800000000000FF000000000001FF00 0000000001FE000000000001FE000000000003FE000000000003FC000000000003FC0000 00000007FC000000000007F800000000000FF800000000000FF800000000000FF8000000 00000FF000000000001FF000000000001FF000000000001FE000000000003FE000000000 003FE000000000003FE000000000007FC000000000007FC000000000007FC00000000000 7FC00000000000FF800000000000FF800000000000FF800000000000FF800000000001FF 800000000001FF000000000001FF000000000001FF000000000001FF000000000003FF00 0000000003FE000000000003FE000000000003FE000000000007FE000000000007FE0000 00000007FE000000000007FC000000000007FC000000000007FC00000000000FFC000000 00000FFC00000000000FFC00000000000FF800000000000FF800000000000FF800000000 001FF800000000001FF800000000001FF800000000001FF800000000001FF80000000000 1FF000000000001FF000000000003FF000000000003FF000000000003FF000000000003F F000000000003FF000000000003FF000000000003FF000000000003FF000000000003FE0 00000000003FE000000000007FE000000000007FE000000000007FE000000000007FE000 000000007FE000000000007FE000000000007FE000000000007FE000000000007FE00000 0000007FE000000000007FE000000000007FE000000000007FE000000000007FC0000000 0000FFC00000000000FFC00000000000FFC00000000000FFC00000000000FFC000000000 00FFC00000000000FFC00000000000FFC00000000000FFC00000000000FFC00000000000 FFC00000000000FFC00000000000FFC00000000000FFC00000000000FFC00000000000FF C00000000000FFC00000000000FFC00000000000FFC00000000000FFC00000000000FFC0 0000000000FFC00000000000FFC00000000000FFC00000000000FFC00000000000FFC000 00000000FFC00000000000FFC00000000000FFC00000000000FFC00000000000FFC00000 000000FFC00000000000FFC00000000000FFC00000000000FFC00000000000FFC0000000 0000FFC00000000000FFC00000000000FFC00000000000FFC00000000000FFC000000000 00FFC000000000007FC000000000007FE000000000007FE000000000007FE00000000000 7FE000000000007FE000000000007FE000000000007FE000000000007FE000000000007F E000000000007FE000000000007FE000000000007FE000000000007FE000000000003FE0 00000000003FE000000000003FF000000000003FF000000000003FF000000000003FF000 000000003FF000000000003FF000000000003FF000000000003FF000000000001FF00000 0000001FF000000000001FF800000000001FF800000000001FF800000000001FF8000000 00001FF800000000000FF800000000000FF800000000000FF800000000000FFC00000000 000FFC00000000000FFC000000000007FC000000000007FC000000000007FC0000000000 07FE000000000007FE000000000007FE000000000003FE000000000003FE000000000003 FE000000000003FF000000000001FF000000000001FF000000000001FF000000000001FF 000000000001FF800000000000FF800000000000FF800000000000FF800000000000FF80 00000000007FC000000000007FC000000000007FC000000000007FC000000000003FE000 000000003FE000000000003FE000000000001FE000000000001FF000000000001FF00000 0000000FF000000000000FF800000000000FF800000000000FF8000000000007F8000000 000007FC000000000003FC000000000003FC000000000003FE000000000001FE00000000 0001FE000000000001FF000000000000FF000000000000FF8000000000007F8000000000 007F8000000000007FC000000000003FC000000000003FC000000000001FE00000000000 1FE000000000000FF000000000000FF000000000000FF0000000000007F8000000000007 F8000000000003FC000000000003FC000000000001FE000000000001FE000000000000FF 0000000000007F0000000000007F8000000000003F8000000000003FC000000000001FC0 00000000001FE000000000000FE0000000000007F0000000000007F0000000000003F800 0000000003FC000000000001FC000000000000FE000000000000FE0000000000007F0000 000000003F8000000000001F8000000000001FC000000000000FE0000000000007E00000 00000003F0000000000003F8000000000001FC000000000000FC0000000000007E000000 0000003F0000000000003F8000000000001F8000000000000FC0000000000007E0000000 000003E0>51 298 104 131 79 32 D[51 298 125 131 79 I[29 298 101 131 58 I[29 298 127 131 58 I<0000000000007C0000000000 00FC000000000001F8000000000001F8000000000003F0000000000007E000000000000F C000000000001FC000000000001F8000000000003F0000000000007F0000000000007E00 0000000000FE000000000001FC000000000001F8000000000003F8000000000007F00000 00000007F000000000000FE000000000001FC000000000001FC000000000003F80000000 00007F8000000000007F000000000000FF000000000000FE000000000001FE0000000000 01FC000000000003FC000000000007F8000000000007F800000000000FF000000000000F F000000000001FE000000000001FE000000000003FC000000000003FC000000000007FC0 00000000007F800000000000FF800000000000FF000000000000FF000000000001FE0000 00000001FE000000000003FE000000000003FC000000000007FC000000000007F8000000 000007F800000000000FF800000000000FF000000000001FF000000000001FF000000000 001FE000000000003FE000000000003FE000000000007FC000000000007FC00000000000 7FC00000000000FF800000000000FF800000000000FF800000000001FF000000000001FF 000000000001FF000000000003FF000000000003FE000000000003FE000000000007FE00 0000000007FC000000000007FC000000000007FC00000000000FFC00000000000FF80000 0000000FF800000000001FF800000000001FF800000000001FF000000000001FF0000000 00003FF000000000003FF000000000003FF000000000003FE000000000007FE000000000 007FE000000000007FE000000000007FE00000000000FFC00000000000FFC00000000000 FFC00000000000FFC00000000000FFC00000000001FF800000000001FF800000000001FF 800000000001FF800000000001FF800000000003FF800000000003FF000000000003FF00 0000000003FF000000000003FF000000000003FF000000000007FF000000000007FE0000 00000007FE000000000007FE000000000007FE000000000007FE00000000000FFE000000 00000FFE00000000000FFE00000000000FFC00000000000FFC00000000000FFC00000000 000FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC0000000000 1FFC00000000001FF800000000001FF800000000001FF800000000001FF800000000003F F800000000003FF800000000003FF800000000003FF800000000003FF800000000003FF8 00000000003FF800000000003FF000000000003FF000000000003FF000000000003FF000 000000007FF000000000007FF000000000007FF000000000007FF000000000007FF00000 0000007FF000000000007FF000000000007FF000000000007FF000000000007FF0000000 00007FF000000000007FF000000000007FF000000000007FF000000000007FF000000000 007FE000000000007FE00000000000FFE00000000000FFE00000000000FFE00000000000 FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FF E00000000000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE0 0000000000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE000 00000000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE00000 000000FFE00000000000FFE0000000000036B3638257>48 DI64 D<00000000001FFC000000 00001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000 001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC0000000000 1FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001F FC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC 00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FF800 000000001FF800000000003FF800000000003FF800000000003FF800000000003FF80000 0000003FF800000000003FF800000000003FF800000000003FF800000000003FF8000000 00003FF800000000003FF800000000003FF800000000003FF800000000003FF800000000 003FF800000000003FF000000000003FF000000000003FF000000000003FF00000000000 7FF000000000007FF000000000007FF000000000007FF000000000007FF000000000007F F000000000007FF000000000007FE000000000007FE000000000007FE000000000007FE0 0000000000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE000 00000000FFC00000000000FFC00000000000FFC00000000000FFC00000000001FFC00000 000001FFC00000000001FFC00000000001FF800000000001FF800000000001FF80000000 0001FF800000000001FF800000000003FF800000000003FF000000000003FF0000000000 03FF000000000003FF000000000003FF000000000007FF000000000007FE000000000007 FE000000000007FE000000000007FE000000000007FE00000000000FFC00000000000FFC 00000000000FFC00000000000FFC00000000000FFC00000000001FF800000000001FF800 000000001FF800000000001FF800000000001FF000000000003FF000000000003FF00000 0000003FF000000000003FE000000000003FE000000000007FE000000000007FE0000000 00007FC000000000007FC00000000000FFC00000000000FF800000000000FF8000000000 00FF800000000001FF800000000001FF000000000001FF000000000003FF000000000003 FE000000000003FE000000000003FE000000000007FC000000000007FC000000000007FC 00000000000FF800000000000FF800000000000FF800000000001FF000000000001FF000 000000001FE000000000003FE000000000003FE000000000003FC000000000007FC00000 0000007F8000000000007F800000000000FF800000000000FF000000000001FF00000000 0001FE000000000001FE000000000003FC000000000003FC000000000007FC0000000000 07F800000000000FF800000000000FF000000000000FF000000000001FE000000000001F E000000000003FC000000000003FC000000000007F8000000000007F800000000000FF00 0000000000FE000000000001FE000000000001FC000000000003FC000000000003F80000 00000007F8000000000007F000000000000FE000000000000FE000000000001FC0000000 00003F8000000000003F8000000000007F0000000000007E000000000000FE0000000000 01FC000000000001F8000000000003F8000000000003F0000000000007E000000000000F E000000000000FC000000000001F8000000000003F0000000000007E0000000000007E00 0000000000FC000000000000F800000000000036B37D8457>III< FFFFFFFFFFFFFFFFFFFFFC00FFFFFFFFFFFFFFFFFFFFFE00FFFFFFFFFFFFFFFFFFFFFE00 FFFFFFFFFFFFFFFFFFFFFE007FF0000000000007FFFFFF007FF80000000000000FFFFF00 3FFC00000000000000FFFF001FFC000000000000001FFF800FFE0000000000000007FF80 0FFF0000000000000001FF8007FF00000000000000007FC003FF80000000000000003FC0 03FFC0000000000000000FC001FFE00000000000000007E000FFE00000000000000003E0 007FF00000000000000001E0007FF80000000000000001F0003FF80000000000000000F0 001FFC000000000000000070000FFE000000000000000078000FFF000000000000000038 0007FF0000000000000000380003FF80000000000000001C0003FFC00000000000000000 0001FFC000000000000000000000FFE0000000000000000000007FF00000000000000000 00007FF8000000000000000000003FF8000000000000000000001FFC0000000000000000 00001FFE000000000000000000000FFF0000000000000000000007FF0000000000000000 000003FF8000000000000000000003FFC000000000000000000001FFC000000000000000 000000FFE000000000000000000000FFF0000000000000000000007FF800000000000000 0000003FF8000000000000000000001FFC000000000000000000001FFE00000000000000 0000000FFE0000000000000000000007FF0000000000000000000003FF80000000000000 00000003FFC000000000000000000001FFC000000000000000000000FFE0000000000000 00000000FFF0000000000000000000007FF0000000000000000000003FF0000000000000 000000001FF0000000000000000000001FE0000000000000000000000FC0000000000000 000000000F80000000000000000000001F00000000000000000000003F00000000000000 000000007E00000000000000000000007C0000000000000000000000F800000000000000 00000001F00000000000000000000003F00000000000000000000007E000000000000000 0000000FC0000000000000000000000F80000000000000000000001F0000000000000000 0000003E00000000000000000000007E0000000000000000000000FC0000000000000000 000000F80000000000000000000001F00000000000000000000003E00000000000000000 000007E0000000000000000000000FC0000000000000000000000F800000000000000000 00001F00000000000000001C00003E00000000000000003C00007C000000000000000038 0000FC0000000000000000380001F80000000000000000780001F00000000000000000F0 0003E00000000000000000F00007C00000000000000001F0000FC00000000000000003E0 001F800000000000000007E0001F00000000000000000FE0003E00000000000000001FC0 007C00000000000000007FC000FC0000000000000000FFC001F80000000000000003FF80 01F0000000000000000FFF8003E0000000000000007FFF8007C000000000000007FFFF00 0F80000000000003FFFFFF001FFFFFFFFFFFFFFFFFFFFF003FFFFFFFFFFFFFFFFFFFFE00 3FFFFFFFFFFFFFFFFFFFFE007FFFFFFFFFFFFFFFFFFFFE00FFFFFFFFFFFFFFFFFFFFFC00 FFFFFFFFFFFFFFFFFFFFFC005E647B7F69>80 D<0000000000FF000000000003FFC00000 00000F81F0000000001E0078000000003E007C000000007C01FC00000000F803FE000000 00F803FE00000001F803FE00000001F003FE00000003F003FE00000003F001FC00000003 E0007000000007E0000000000007E0000000000007E000000000000FE000000000000FE0 00000000000FE000000000000FE000000000000FC000000000001FC000000000001FC000 000000001FC000000000001FC000000000001FC000000000001FC000000000001FC00000 0000003FC000000000003FC000000000003FC000000000003FC000000000003FC0000000 00003FC000000000003FC000000000007F8000000000007F8000000000007F8000000000 007F8000000000007F8000000000007F8000000000007F800000000000FF800000000000 FF800000000000FF800000000000FF800000000000FF800000000000FF800000000000FF 800000000000FF800000000001FF800000000001FF000000000001FF000000000001FF00 0000000001FF000000000001FF000000000001FF000000000001FF000000000001FF0000 00000001FF000000000003FF000000000003FE000000000003FE000000000003FE000000 000003FE000000000003FE000000000003FE000000000003FE000000000003FE00000000 0003FC000000000003FC000000000003FC000000000003FC000000000003FC0000000000 03FC000000000003FC000000000007F8000000000007F8000000000007F8000000000007 F8000000000007F8000000000007F8000000000007F8000000000007F0000000000007F0 000000000007F0000000000007F0000000000007F0000000000007F0000000000007F000 0000000007E000000000000FE000000000000FE000000000000FE000000000000FE00000 0000000FC000000000000FC000000000000FC00000001C000F800000007F001F80000000 FF801F80000000FF801F00000000FF803F00000000FF803E00000000FF803E000000007F 007C000000007C00F8000000003C00F0000000001F03E00000000007FF800000000001FE 0000000000376F7B7F2F>82 D88 D<0000000000000000003F00000000000000000000FFC0000000000000 000003E0F0000000000000000007C03800000000000000000F801C00000000000000001F 807E00000000000000003F01FE00000000000000003F03FF00000000000000007E03FF00 00000000000000FE03FF0000000000000000FC03FF0000000000000001FC03FF00000000 00000001FC03FF0000000000000003F801FE0000000000000003F8007800000000000000 03F800000000000000000007F000000000000000000007F00000000000000000000FF000 00000000000000000FF00000000000000000000FE00000000000000000001FE000000000 00000000001FE00000000000000000001FE00000000000000000003FC000000000000000 00003FC00000000000000000003FC00000000000000000003FC00000000000000000007F 800000000000000000007F800000000000000000007F80000000000000000000FF800000 00000000000000FF00000000000000000000FF00000000000000000000FF000000000000 00000001FF00000000000000000001FF00000000000000000001FE000000000000000000 01FE00000000000000000003FE00000000000000000003FE00000000000000000003FE00 000000000000000003FC00000000000000000007FC00000000000000000007FC00000000 000000000007FC00000000000000000007FC00000000000000000007F800000000000000 00000FF80000000000000000000FF80000000000000000000FF80000000000000000000F F80000000000000000001FF00000000000000000001FF00000000000000000001FF00000 000000000000001FF00000000000000000003FF00000000000000000003FF00000000000 000000003FE00000000000000000003FE00000000000000000007FE00000000000000000 007FE00000000000000000007FE00000000000000000007FC00000000000000000007FC0 000000000000000000FFC0000000000000000000FFC0000000000000000000FFC0000000 000000000000FFC0000000000000000001FF80000000000000000001FF80000000000000 000001FF80000000000000000001FF80000000000000000001FF80000000000000000003 FF80000000000000000003FF00000000000000000003FF00000000000000000003FF0000 0000000000000007FF00000000000000000007FF00000000000000000007FF0000000000 0000000007FE00000000000000000007FE0000000000000000000FFE0000000000000000 000FFE0000000000000000000FFE0000000000000000000FFE0000000000000000000FFC 0000000000000000001FFC0000000000000000001FFC0000000000000000001FFC000000 0000000000001FFC0000000000000000001FF80000000000000000003FF8000000000000 0000003FF80000000000000000003FF80000000000000000003FF8000000000000000000 3FF80000000000000000007FF00000000000000000007FF00000000000000000007FF000 00000000000000007FF00000000000000000007FF0000000000000000000FFE000000000 0000000000FFE0000000000000000000FFE0000000000000000000FFE000000000000000 0001FFE0000000000000000001FFC0000000000000000001FFC0000000000000000001FF C0000000000000000001FFC0000000000000000001FFC0000000000000000003FFC00000 00000000000003FF80000000000000000003FF80000000000000000003FF800000000000 00000003FF80000000000000000007FF00000000000000000007FF000000000000000000 07FF00000000000000000007FF00000000000000000007FF0000000000000000000FFE00 00000000000000000FFE0000000000000000000FFE0000000000000000000FFE00000000 00000000000FFE0000000000000000000FFC0000000000000000001FFC00000000000000 00001FFC0000000000000000001FFC0000000000000000001FFC0000000000000000001F F80000000000000000003FF80000000000000000003FF80000000000000000003FF80000 000000000000003FF80000000000000000003FF00000000000000000003FF00000000000 000000007FF00000000000000000007FF00000000000000000007FF00000000000000000 007FE00000000000000000007FE00000000000000000007FE0000000000000000000FFE0 000000000000000000FFC0000000000000000000FFC0000000000000000000FFC0000000 000000000000FFC0000000000000000000FFC0000000000000000001FF80000000000000 000001FF80000000000000000001FF80000000000000000001FF80000000000000000001 FF00000000000000000001FF00000000000000000003FF00000000000000000003FF0000 0000000000000003FF00000000000000000003FE00000000000000000003FE0000000000 0000000007FE00000000000000000007FE00000000000000000007FC0000000000000000 0007FC00000000000000000007FC00000000000000000007FC0000000000000000000FF8 0000000000000000000FF80000000000000000000FF80000000000000000000FF8000000 0000000000000FF00000000000000000001FF00000000000000000001FF0000000000000 0000001FF00000000000000000001FF00000000000000000001FE0000000000000000000 3FE00000000000000000003FE00000000000000000003FE00000000000000000003FC000 00000000000000003FC00000000000000000007FC00000000000000000007FC000000000 00000000007F800000000000000000007F800000000000000000007F8000000000000000 0000FF80000000000000000000FF00000000000000000000FF00000000000000000000FF 00000000000000000001FE00000000000000000001FE00000000000000000001FE000000 00000000000001FE00000000000000000003FC00000000000000000003FC000000000000 00000003FC00000000000000000003F800000000000000000007F8000000000000000000 07F000000000000000000007F00000000000000000000FF00000000000000000000FE000 0000000000001E000FE0000000000000007F801FC000000000000000FFC01FC000000000 000000FFC01F8000000000000000FFC03F8000000000000000FFC03F0000000000000000 FFC07F0000000000000000FFC07E00000000000000007F80FC00000000000000007E00FC 00000000000000003801F800000000000000001C03F000000000000000000F07C0000000 000000000003FF80000000000000000000FC00000000000000000058DD7B7F37>90 D<0000000000000000000000C00000000000000000000001E00000000000000000000003 E00000000000000000000003E00000000000000000000007C00000000000000000000007 C0000000000000000000000F80000000000000000000000F80000000000000000000001F 00000000000000000000001F00000000000000000000003E00000000000000000000003E 00000000000000000000007C00000000000000000000007C0000000000000000000000F8 0000000000000000000000F80000000000000000000000F00000000000000000000001F0 0000000000000000000001F00000000000000000000003E00000000000000000000003E0 0000000000000000000007C00000000000000000000007C0000000000000000000000F80 000000000000000000000F80000000000000000000001F00000000000000000000001F00 000000000000000000003E00000000000000000000003E00000000000000000000007C00 000000000000000000007C0000000000000000000000F80000000000000000000000F800 00000000000000000001F00000000000000000000001F00000000000000000000003E000 00000000000000000003E00000000000000000000007C00000000000000000000007C000 0000000000000000000F80000000000000000000000F80000000000000000000001F0000 0000000000000000001F00000000000000000000003E00000000000000000000003E0000 0000000000000000003C00000000000000000000007C00000000000000000000007C0000 000000000000000000F80000000000000000000000F80000000000000000000001F00000 000000000000000001F00000000000000000000003E00000000000000000000003E00000 000000000000000007C00000000000000000000007C0000000000000000000000F800000 00000000000000000F80000000000000000000001F00000000000000000000001F000000 00000400000000003E00000000000E00000000003E00000000001E00000000007C000000 00007F00000000007C0000000000FF0000000000F80000000001FF0000000000F8000000 0003FF8000000001F0000000000FFF8000000001F0000000001C7FC000000003E0000000 00387FC000000003E000000000F03FE000000007C000000000403FE000000007C0000000 00003FE00000000F8000000000001FF00000000F8000000000001FF00000000F00000000 00000FF80000001F0000000000000FF80000001F00000000000007FC0000003E00000000 000007FC0000003E00000000000007FC0000007C00000000000003FE0000007C00000000 000003FE000000F800000000000001FF000000F800000000000001FF000001F000000000 000000FF800001F000000000000000FF800003E000000000000000FF800003E000000000 0000007FC00007C0000000000000007FC00007C0000000000000003FE0000F8000000000 0000003FE0000F80000000000000001FF0001F00000000000000001FF0001F0000000000 0000000FF8003E00000000000000000FF8003E00000000000000000FF8007C0000000000 00000007FC007C000000000000000007FC00F8000000000000000003FE00F80000000000 00000003FE01F0000000000000000001FF01F0000000000000000001FF03E00000000000 00000001FF03E0000000000000000000FF83C0000000000000000000FF87C00000000000 000000007FC7C00000000000000000007FCF800000000000000000003FEF800000000000 000000003FFF000000000000000000003FFF000000000000000000001FFE000000000000 000000001FFE000000000000000000000FFC000000000000000000000FFC000000000000 0000000007F80000000000000000000007F80000000000000000000007F0000000000000 0000000003F00000000000000000000003E00000000000000000000001C0000000000000 005B78758364>112 D E /Fv 57 122 df<0001FC0000000FFF0000003F07C000007C03 E00001F801F00C03F001F00C07E000F80C0FC000F81C0F8000FC181F80007C183F00007C 383F00007C307F00007C707E00007C607E00007CE07E00007CC0FE00007DC0FC00007F80 FC00007F00FC00007E00FC00007E00FC00007C00FC00007C007C00007C007C0000FE007C 0003FE0C3E00073E0C1F001E3E1C0F81F81F3803FFE00FF000FE0003C0261F7D9D2D>11 D<0000007E00000001FFC000000781E000001E00F000003800F000007000F80000E00078 0001C0007800038000F800030000F800070000F800060000F8000E0001F8000C0001F000 1C0001F000180003E000180007C0003800078000301FEF0000303FFE0000703FFE000060 1FEF000060000F8000600007C000E00007C000C00007E000C00007E000C00007E001C000 07E001800007E001800007E001800007E00380000FE00300000FC00300000FC00300000F C00700001F800700001F800700003F000700003F000F80007E000D80007C000DC000F800 0CE001F0001C7003E000183C0F8000181FFE00001803F800003800000000300000000030 0000000030000000007000000000600000000060000000006000000000E000000000C000 000000C000000000C000000000253C7EAE28>I<001F00000000FFC0003001FFF0007007 FFF800600FFFF800E00F807C00C01E003C01C03C001E018038000E038070000703006000 0707006000030600E0000306000000038E000000018C000000019C000000019800000001 B800000001B000000001B000000001F000000001E000000001E000000001E000000001C0 00000001C000000001800000000180000000038000000003800000000380000000038000 000007000000000700000000070000000007000000000E000000000E000000000E000000 000E000000001C000000001C000000001C00000000180000242C7F9D24>I<07C007E00F E03FF81CF8783E3879E01E307B801F707F001F607F001F60FE001FE0FC001FC0FC001FC0 F8001F81F8003F01F8003F01F0003E01F0003E03F0007E03F0007E03E0007C03E0007C07 E000FC07E000FC07C000F807C000F80FC001F80FC001F80F8001F00F8001F01F8003F01F 8003F01F0003E00E0003E0000007E0000007E0000007C0000007C000000FC000000FC000 000F8000000F8000001F8000001F8000001F0000001F0000000E00202C7E9D23>17 D<00FC00000000FF000000001FC00000000FC000000007E000000007E000000007E00000 0003F000000003F000000001F000000001F800000001F800000000FC00000000FC000000 00FC000000007E000000007E000000003F000000003F000000003F000000001F80000000 1F800000000F800000000FC00000000FC00000001FE00000003FE00000007FE0000000F3 F0000001E3F0000003C1F000000781F800000F81F800001F00FC00003E00FC00007C00FC 0000F8007E0001F0007E0003E0003F0007E0003F000FC0003F001F80001F803F00001F80 7E00001F80FC00000FC0F8000007E070000003E0232F7DAD29>21 D<0000C0000000C0000000C0000000C0000000C0000000FFE00001FFF80007FFF8001F9F E0007F000000FE000000FC000001F8000003F8000003F0000007F0000007F0000007E000 0007E0000007E0000003E0000003F0000003F0000001FBFE00007FFF00007FFF0000F7FE 0003C00000078000000F0000001E0000001E0000003C0000007C00000078000000780000 00F8000000F0000000F8000000F8000000F8000000FC000000FF0000007FC000003FF800 001FFE00000FFFC00003FFF000007FFC00001FFE000003FF000000FF0000001F0000000F 0000000F0000000F0000701E00003C1C00001FF8000003E0001D3C7EAD1F>24 D<00FFFFFFF803FFFFFFF807FFFFFFF80FFFFFFFF01E0380C0003C0300C000700301C000 700701C000E007018000C006018000000E038000000E038000000E038000001C03800000 1C038000003C038000003C07800000380780000078078000007807800000F007C00000F0 07C00001F007C00001F007C00003E007E00003E007E00007E003E00007C003E00007C003 E000038001C000251E7E9C29>I<0003FFFFF0001FFFFFF0007FFFFFF000FFFFFFE001FC 1F800003F00FC00007C007C0000F8003E0001F8003E0001F0003E0003E0003E0003E0003 E0007C0003E0007C0003E0007C0007E000FC0007C000F80007C000F80007C000F8000FC0 00F8000F8000F8001F8000F8001F0000F8003E000078003C000078007C00007C00F80000 3C01E000001F07C0000007FF00000001F8000000241E7D9C28>27 D<00FFFFFF8003FFFFFF8007FFFFFF800FFFFFFF001E00E000003C00E000007000C00000 7001C00000E001C00000C001C000000003C000000003C000000003800000000380000000 0780000000078000000007800000000F000000000F000000000F000000001F000000001F 000000001E000000003E000000003E000000003E000000003E000000007C000000007C00 00000038000000211E7E9C1F>I<000000600000000060000000006000000000E0000000 00E000000000C000000000C000000001C000000001C00000000180000000018000000003 8000000003800000000300000000030000000007000000003FE0000003FFF800000FC63E 00003E0E0F80007C0E07C001F00C03E003E00C01F007C01C01F00F801C00F01F801800F8 1F001800F83E003800F83E003800F87C003000F87C003000F87C007001F8FC007001F0F8 006001F0F8006003F0F800E003E0F800E007E07800C007C07C00C00F807C01C01F003C01 C03E003E01807C001F0180F8000F8383E00003E39F800000FFFE0000001FF00000000700 0000000700000000060000000006000000000E000000000E000000000C000000000C0000 00001C000000001C000000001800000000180000000018000000253C7DAD2A>30 D<07E00000001FF800000C38FC00001C307E000018707F000038203F000070003F0000E0 001F8001C0001F800380000FC00700000FC00E000007C01C000007E038000007E0700000 03E0E0000003F0C0000003F1C0000001F380000001FF00000001FE00000000FC00000000 FC00000000FC00000000FC00000001FE00000003FE000000073E0000000E3F0000000C3F 0000001C1F000000381F800000701F800000E00F800001C00FC00003800FC000070007E0 000E0007E0001C0003F000380003F010700003F838600001F830E00000FC70C000007FE0 0000001F80262C7E9D2C>I<0003F800003FFF0000FFFFC001F807E007C001E007000000 0E0000000C0000001C000000180000001C0000000C0000000E3FC00007FFE00007FFE000 0E7F80001C000000380000007000000060000000E0000000C0000000C0000000C0000200 E0000600E0000E0070001C003E00F8001FFFF00007FFC00001FE00001B1F7E9D21>34 D<0000000FC00300003FE0070000FFF80E0001FFF80C0003E07C1C0007803C380007001C 30000E000E30001C000E70001C000E600038000E600030000EE00030000CC00060000CC0 0060000CC000C0001CC000C00018C000C00038C001800030C001800070E0018000E0E003 8001E070038003C078030007803C07001F001F87007E000FF703FC0007FFFFF00001FFFF C000007FFF0000001FF80000001E000000001E000000001E000000003C000000003C0000 00003C000000007C000000007C000000007C00000000F800000000F800000000F8000000 0070000000272C7C9D2E>39 D<3C7EFFFFFFFF7E3C08087A8714>58 D<3C007E00FF00FF00FF80FF807F803D80018001800180038003000300070006000E001C 0038007000600009157A8714>I<0000000001C00000000007C0000000001FC000000000 7F0000000001FC0000000007F0000000001FC0000000007F0000000001FC0000000007F0 000000000FC0000000003F0000000000FC0000000003F8000000000FE0000000003F8000 000000FE0000000003F8000000000FE0000000003F8000000000FE0000000000F8000000 0000FE00000000003F80000000000FE00000000003F80000000000FE00000000003F8000 0000000FE00000000003F80000000000FC00000000003F00000000000FC00000000007F0 0000000001FC00000000007F00000000001FC00000000007F00000000001FC0000000000 7F00000000001FC00000000007C00000000001C02A2B7AA537>I<000000C0000001C000 0003C0000003800000038000000780000007000000070000000F0000000E0000000E0000 001E0000001C0000001C0000003C00000038000000780000007000000070000000F00000 00E0000000E0000001E0000001C0000001C0000003C00000038000000780000007000000 070000000F0000000E0000000E0000001E0000001C0000001C0000003C00000038000000 380000007800000070000000F0000000E0000000E0000001E0000001C0000001C0000003 C00000038000000380000007800000070000000F0000000E0000000E0000001E0000001C 0000001C0000003C0000003800000038000000780000007000000070000000F0000000E0 000000E00000001A437CB123>II<0000C000000000C000 000000C000000000C000000000C000000001E000000001E000000001E000000001E00000 0001E000000001E000000001E00000F001E003C0FF83F07FC03FFFFFFF000FFFFFFC0001 FFFFE000007FFF8000001FFE00000007F80000000FFC0000000FFC0000001FFE0000003F 3F0000003E1F0000007C0F8000007807800000F003C00000F003C00001E001E00003C000 F00003800070000300003000222180A023>I<00007F00000001FFE000000780F800000E 003C00001C001E000038000F000070000F800078000780007C0007C000FC0003C000FC00 03E000FC0003E000700003E000000003E000000003F000000003F000000003F00000FE03 F00007FF83F0001F01C3F0007C00E7E000F80077E001F00037E007E0003FE007C0001FE0 0F80001FC01F80001FC03F00001FC03F00001FC07F00001F807E00001F807E00001F807E 00003F00FE00003F00FC00007E00FC00007E00FC00007C00FC0000FC00FC0000F800FC00 01F0007C0003E0007C0003E0003E0007C0001E000F00000F003E000007C0F8000003FFE0 0000007F80000024307DAE25>I<00000000700000000000700000000000F00000000001 F00000000001F00000000003F80000000003F80000000007F8000000000DF8000000000D F80000000019F80000000039F80000000031F80000000061FC0000000060FC00000000C0 FC0000000180FC0000000180FC0000000300FC0000000700FC0000000600FC0000000C00 FE0000000C007E00000018007E00000030007E00000030007E00000060007E000000E000 7E000000C0007E00000180007F000001FFFFFF000003FFFFFF00000600003F0000060000 3F00000C00003F00001C00003F00001800003F00003000003F80003000001F8000600000 1F8000C000001F8001C000001F8003C000001F8007C000001F800FC000003FC0FFF80007 FFFEFFF80007FFFE2F2F7DAE35>I<003FFFFFFF00003FFFFFFFC00000FE0007F00000FE 0001F80000FC0000FC0000FC00007E0001FC00007E0001FC00007F0001F800007F0001F8 00007F0003F800007F0003F800007E0003F00000FE0003F00000FE0007F00001FC0007F0 0001F80007E00003F00007E00007E0000FE0001FC0000FE0007F00000FC003FC00000FFF FFF800001FFFFFFE00001FC0003F80001F80000FC0001F80000FE0003F800007E0003F80 0007F0003F000007F0003F000003F0007F000003F0007F000003F0007E000007F0007E00 0007F000FE000007E000FE00000FE000FC00000FC000FC00001FC001FC00003F8001FC00 007F0001F80000FE0001F80003F80003F8000FF000FFFFFFFFC000FFFFFFFC0000302D7C AC35>I<0000007FC003000003FFF80700001FC03E0F00007E00071F0001F80003BF0003 F00001FE000FC00000FE001F8000007E003F0000007E007E0000007C00FC0000003C01F8 0000003C03F80000003C07F0000000380FE0000000380FE0000000381FC0000000381FC0 000000303F80000000003F80000000007F80000000007F00000000007F00000000007F00 00000000FF0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE00 00000000FE0000000180FE0000000380FE0000000300FE00000003007E00000007007E00 000006007E0000000E003F0000001C003F00000038001F80000070000F800000E00007C0 0001C00003E00007800001F8001E0000007E00F80000001FFFE000000003FF000000302F 7CAD32>I<003FFFFFFE0000003FFFFFFFC0000000FE0007F0000000FE0001F8000000FC 00007E000000FC00003F000001FC00001F000001FC00001F800001F800000F800001F800 000FC00003F8000007C00003F8000007E00003F0000007E00003F0000007E00007F00000 07E00007F0000007E00007E0000007E00007E0000007E0000FE0000007E0000FE0000007 E0000FC000000FE0000FC000000FE0001FC000000FE0001FC000000FC0001F8000001FC0 001F8000001FC0003F8000001F80003F8000003F80003F0000003F00003F0000003F0000 7F0000007E00007F0000007E00007E000000FC00007E000000F80000FE000001F80000FE 000003F00000FC000007E00000FC00000FC00001FC00001F000001FC00003E000001F800 00FC000001F80003F0000003F8001FC00000FFFFFFFF000000FFFFFFF8000000332D7CAC 3A>I<003FFFFFFFFF80003FFFFFFFFF800000FE00007F800000FE00000F800000FC0000 07800000FC000007800001FC000003800001FC000003000001F8000003000001F8000003 000003F8000003000003F8000003000003F0000003000003F0003003000007F000700300 0007F0007000000007E0006000000007E000E00000000FE000E00000000FE001E0000000 0FC007C00000000FFFFFC00000001FFFFFC00000001FC007C00000001F8003800000001F 8003800000003F8003800000003F8003800000003F0003000C00003F0003000C00007F00 03001C00007F0000001800007E0000003800007E000000300000FE000000700000FE0000 00E00000FC000000E00000FC000001C00001FC000003C00001FC000007800001F800000F 800001F800001F800003F80001FF0000FFFFFFFFFF0000FFFFFFFFFE0000312D7DAC34> I<003FFFFFFFFF003FFFFFFFFF0000FE00007F0000FE00001F0000FC00000F0000FC0000 0F0001FC0000070001FC0000060001F80000060001F80000060003F80000060003F80000 060003F00000060003F00030060007F00070060007F00070000007E00060000007E000E0 00000FE000E000000FE001E000000FC007C000000FFFFFC000001FFFFFC000001FC007C0 00001F80038000001F80038000003F80038000003F80038000003F00030000003F000300 00007F00030000007F00000000007E00000000007E0000000000FE0000000000FE000000 0000FC0000000000FC0000000001FC0000000001FC0000000001F80000000001F8000000 0003F800000000FFFFF0000000FFFFF0000000302D7DAC2D>I<003FFFFC0FFFFF003FFF FC0FFFFF0000FE00003F800000FE00003F800000FC00003F000000FC00003F000001FC00 007F000001FC00007E000001F800007E000001F800007E000003F80000FE000003F80000 FC000003F00000FC000003F00000FC000007F00001FC000007F00001F8000007E00001F8 000007E00001F800000FE00003F800000FE00003F000000FC00003F000000FFFFFFFF000 001FFFFFFFF000001FC00007E000001F800007E000001F800007E000003F80000FE00000 3F80000FC000003F00000FC000003F00000FC000007F00001FC000007F00001F8000007E 00001F8000007E00001F800000FE00003F800000FE00003F000000FC00003F000000FC00 003F000001FC00007F000001FC00007E000001F800007E000001F800007E000003F80000 FE0000FFFFE03FFFF800FFFFE03FFFF800382D7CAC3A>72 D<003FFFFC003FFFFC0000FE 000000FE000000FC000000FC000001FC000001FC000001F8000001F8000003F8000003F8 000003F0000003F0000007F0000007F0000007E0000007E000000FE000000FE000000FC0 00000FC000001FC000001FC000001F8000001F8000003F8000003F8000003F0000003F00 00007F0000007F0000007E0000007E000000FE000000FE000000FC000000FC000001FC00 0001FC000001F8000001F8000003F80000FFFFE000FFFFE0001E2D7DAC1F>I<00003FFF F800003FFFF80000007F000000007F000000007E000000007E00000000FE00000000FC00 000000FC00000000FC00000001FC00000001F800000001F800000001F800000003F80000 0003F000000003F000000003F000000007F000000007E000000007E000000007E0000000 0FE00000000FC00000000FC00000000FC00000001FC00000001F800000001F800000001F 800000003F800000003F800000003F000000003F00003C007F00007E007F0000FE007E00 00FE00FE0000FE00FC0000FC01FC0000F001F80000E003F000006007E00000781F800000 1FFE00000007F0000000252E7BAC27>I<003FFE0000FFFF003FFE0000FFFF0000FF0000 07E00000FF000007C00000FF800003800000DF800003000001DFC00007000001CFC00006 0000018FE0000600000187E0000600000387F0000E00000387F0000C00000303F0000C00 000303F8000C00000701F8001C00000701FC001800000600FC001800000600FE00180000 0E007E003800000E007F003000000C003F003000000C003F003000001C003F807000001C 001F8060000018001FC060000018000FC060000038000FE0E00000380007E0C000003000 07F0C00000300003F0C00000700003F1C00000700003F9800000600001F9800000600001 FD800000E00000FF800000E00000FF000000C000007F000000C000007F000001C000003F 000001C000003E0000018000003E000003C000001E00000FE000001E0000FFFE00000C00 00FFFE00000C0000382D7CAC38>78 D<0000007FC000000007FFF80000001F807E000000 7C001F800001F0000FC00007E00003E0000F800003F0001F000001F0003E000000F8007C 000000FC00F8000000FC01F8000000FC03F00000007E07E00000007E07E00000007E0FC0 0000007E1FC00000007E1FC00000007E3F800000007E3F80000000FE3F00000000FE7F00 000000FE7F00000000FE7F00000000FEFE00000001FCFE00000001FCFE00000001FCFE00 000003F8FE00000003F8FE00000003F0FE00000007F0FE00000007E0FE0000000FE0FE00 00001FC0FE0000001F807E0000003F007E0000007F003F0000007E003F000000FC001F80 0001F8001F800003E0000FC0000FC00007E0001F000003F8007E000000FE03F80000003F FFC000000007FE0000002F2F7CAD36>I<003FFFFFF80000003FFFFFFF00000000FE001F C0000000FE0007E0000000FC0003F0000000FC0001F8000001FC0000FC000001FC0000FC 000001F80000FE000001F80000FE000003F80000FE000003F80001FC000003F00001FC00 0003F00001FC000007F00003F8000007F00003F0000007E00007E0000007E0000FC00000 0FE0001F8000000FE0007E0000000FC003F80000000FFFFFE00000001FFFFF000000001F C007C00000001F8003E00000001F8001F00000003F8001F80000003F8000F80000003F00 00FC0000003F0000FC0000007F0001FC0000007F0001FC0000007E0001F80000007E0001 F8000000FE0003F8000000FE0003F8000000FC0003F8000000FC0003F8000001FC0003F8 038001FC0003F8030001F80003F8030001F80003F8070003F80001FC0E00FFFFE000FC3C 00FFFFE0007FF000000000000FC000312E7CAC35>82 D<000007F00600003FFE0E0000F8 0F9E0003E001FE00078000FE000F00007C001E00007C003C00003C003C00003C00780000 380078000038007800003800F800003800F800003000F800003000FC00000000FC000000 00FE000000007F800000007FF80000003FFF8000003FFFF000001FFFFC000007FFFE0000 00FFFF0000001FFF00000001FF800000003F800000001F800000000F800000000F800000 0007801800000780180000078018000007801800000F803800000F003800000F00380000 1E003800001E007C00003C007E000078007F0000F0007B8003E000F1F00F8000E07FFE00 00C00FF00000272F7CAD2B>I<0FFFFFFFFFFF0FFFFFFFFFFF1FC003F8003F1F0003F800 1F1C0003F0000E3C0003F0000E380007F00006300007F00006700007E0000E700007E000 0E60000FE0000CE0000FE0000CC0000FC0000CC0000FC0000CC0001FC0000C00001FC000 0000001F80000000001F80000000003F80000000003F80000000003F00000000003F0000 0000007F00000000007F00000000007E00000000007E0000000000FE0000000000FE0000 000000FC0000000000FC0000000001FC0000000001FC0000000001F80000000001F80000 000003F80000000003F80000000003F00000000003F00000000007F00000000007F00000 000007E0000000000FE0000000001FE00000001FFFFFF000001FFFFFF00000302D7FAC29 >I<7FFFF801FFFE7FFFF801FFFE01FC00000FC001FC00000F8001F80000070001F80000 060003F800000E0003F800000C0003F000000C0003F000000C0007F000001C0007F00000 180007E00000180007E0000018000FE0000038000FE0000030000FC0000030000FC00000 30001FC0000070001FC0000060001F80000060001F80000060003F800000E0003F800000 C0003F000000C0003F000000C0007F000001C0007F00000180007E00000180007E000001 80007E0000038000FE0000030000FC0000030000FC0000070000FC0000060000FC00000E 00007C00001C00007C00001800007C00003800003E00007000003E0000E000001F0003C0 00000F800F00000003E03C00000001FFF0000000003FC00000002F2E7BAC30>III89 D<0007FFFFFFF80007FFFF FFF8000FFC0007F0000FE0000FE0000F80001FC0001F00001F80001E00003F80001C0000 7F0000380000FE0000380001FC0000300003F80000700007F0000060000FE0000060001F C0000060003F80000000007F00000000007F0000000000FE0000000001FC0000000003F8 0000000007F0000000000FE0000000001FC0000000003F80000000007F0000000000FE00 00000000FC0000000001FC0000000003F80006000007F0000600000FE0000E00001FC000 0C00003F80000C00007F00001C0000FE0000180001FC0000380003F80000380003F80000 700007F00000F0000FE00001F0001FC00003F0003F800007E0007F00007FE000FFFFFFFF E000FFFFFFFFC0002D2D7CAC30>I<0007E000001FF800007C1CE000F80DE001F00FE003 E007E007C007E00FC007E01F8007C01F8007C03F0007C03F000FC07F000F807E000F807E 000F807E001F80FE001F00FC001F00FC001F00FC003F02FC003E06FC003E06F8003E06F8 007E0E7C00FE0C7C00FC0C7C01FC1C3E07BE181F0E1E380FFC0FF003F003C01F1F7D9D25 >97 D<00F800001FF800001FF8000001F8000001F8000001F0000001F0000003F0000003 F0000003E0000003E0000007E0000007E0000007C0000007C000000FC000000FC7E0000F 9FF8000FB83C001FF01E001FE01F001FC01F001F800F803F000F803F000F803E000F803E 000F807E001F807E001F807C001F807C001F807C003F80FC003F00F8003F00F8003F00F8 007E00F8007E00F8007C00F800FC00F800F8007801F0007803F0007807E0003C0F80001E 1F00000FFC000003F00000192F7DAD1E>I<0001F800000FFE00003E0780007C018001F8 01C003F007C007E00FC00FC00FC00F800F801F800F803F0000003F0000007F0000007E00 00007E0000007E000000FE000000FC000000FC000000FC000000FC000000FC000000FC00 00607C0000E07C0001C07C0003803E000F001E001C000F81F80007FFE00000FE00001B1F 7D9D1F>I<0000001F000003FF000003FF0000003F0000003F0000003E0000003E000000 7E0000007E0000007C0000007C000000FC000000FC000000F8000000F8000001F80007E1 F8001FF9F0007C1DF000F80FF001F00FF003E007E007C007E00FC007E01F8007E01F8007 C03F0007C03F000FC07F000FC07E000F807E000F807E001F80FE001F80FC001F00FC001F 00FC003F02FC003F06FC003E06F8003E06F8007E0E7C00FE0C7C00FC0C7C01FC1C3E07BE 181F0E1E380FFC0FF003F003C0202F7DAD24>I<0003F800000FFE00003E078000F80380 01F003C003E001C007C001C00FC003C01F8003801F8007803F000F003F001E007F01FC00 7FFFF0007FFF00007E000000FE000000FC000000FC000000FC000000FC0000007C000000 7C0000607C0000E07C0001C03E0003803E000F001F001C000F81F80003FFE00000FE0000 1B1F7D9D21>I<001F00000003FF00000003FF000000003F000000003F000000003E0000 00003E000000007E000000007E000000007C000000007C00000000FC00000000FC000000 00F800000000F800000001F800000001F83F000001F1FFC00001F3C1F00003FF00F00003 FC00F80003F800F80003F800F80007F000F80007E000F80007E000F80007C000F8000FC0 01F8000FC001F0000F8001F0000F8001F0001F8003F0001F8003E0001F0003E0001F0007 E0003F0007C0403F0007C0C03E000FC0C03E000F80C07E000F81C07E001F01807C001F03 807C001F0700FC000F0600FC000F1E00F80007F800700001E000222F7DAD29>104 D<000700000F80001FC0001FC0000F800007000000000000000000000000000000000000 0000000000000000000001E00007F8000E3C001C3E00383E00303E00703E00607E00E07C 00C07C00C0FC0080F80000F80001F80001F00003F00003E00003E00007E00007C04007C0 C00FC0C00F80C00F81C01F01801F03801F07000F06000F1E0007F80001F000122E7EAC18 >I<000000E0000001F0000003F0000003F0000003F0000001C000000000000000000000 000000000000000000000000000000000000000000000000000000007C000003FE000007 8F80000E0780001C0780003807C0003007C000700FC000600F8000E00F8000C00F800080 1F8000001F8000001F0000001F0000003F0000003F0000003E0000003E0000007E000000 7E0000007C0000007C000000FC000000FC000000F8000000F8000001F8000001F8000001 F0000001F0000003F0000003F0000003E0000003E0000007E0003807C000FC0FC000FC0F 8000FC1F0000F83E0000F0F800007FF000001F8000001C3B81AC1D>I<001F000003FF00 0003FF0000003F0000003F0000003E0000003E0000007E0000007E0000007C0000007C00 0000FC000000FC000000F8000000F8000001F8000001F800F801F003FC01F00F0E03F01C 1E03F0387E03E0707E03E0E07E07E1C07E07E3803807C7000007CE00000FDC00000FF800 000FF800000FFF80001F9FE0001F83F0001F01F8001F00F8003F00F8043F00F80C3E00F8 0C3E00F80C7E00F81C7E00F8187C00F0387C00F830FC00F870FC0078E0F8003FC070000F 801F2F7DAD25>I<007C0FFC0FFC00FC00FC00F800F801F801F801F001F003F003F003E0 03E007E007E007C007C00FC00FC00F800F801F801F801F001F003F003F003E003E007E00 7E007C007C00FC08FC18F818F818F838F830F030F070F86078E03FC00F000E2F7DAD15> I<078007F0007E00001FE01FFC03FF800018F0781F0783E0003878E00F1E01E0003079C0 0FB801F000707F800FB001F000607F000FF001F00060FE000FE001F000E0FE000FC001F0 00C0FC000FC001F000C0F8000F8001F00081F8001F8003F00001F8001F8003E00001F000 1F0003E00001F0001F0003E00003F0003F0007E00003F0003F0007C00003E0003E0007C0 0003E0003E000FC00007E0007E000F808007E0007E000F818007C0007C001F818007C000 7C001F01800FC000FC003F03800FC000FC003E03000F8000F8003E07000F8000F8003E0E 001F8001F8001E0C001F8001F8001E3C001F0001F0000FF0000E0000E00003E000391F7E 9D3E>I<07C007E0001FE03FF80018F8783E003879E01E00307B801F00707F001F00607F 001F0060FE001F00E0FC001F00C0FC001F00C0F8001F0081F8003F0001F8003E0001F000 3E0001F0003E0003F0007E0003F0007C0003E0007C0003E000FC0007E000F80807E000F8 1807C001F81807C001F0180FC001F0380FC003E0300F8003E0700F8003E0E01F8001E0C0 1F8001E3C01F0000FF000E00003E00251F7E9D2B>I<0001F800000FFF00003F0780007C 03C001F803E003F001F007E001F00FC001F80F8000F81F8000F83F0000F83F0001F87F00 01F87E0001F87E0001F87E0003F8FE0003F0FC0003F0FC0003F0FC0007E0FC0007E0FC00 0FC0FC000FC07C001F807C001F007C003E003E007C001F01F8000F83E00003FF800000FC 00001D1F7D9D22>I<0007E0003FF800781E00F00601E00703C00F03C01F03C01F07C01E 07C00C07E00007F80007FF8003FFE001FFF000FFF8003FFC0001FC0000FC00007C78003C FC003CFC003CFC007CF80078E000F8E000F06001E07807C01FFF0007F800181F7C9D21> 115 D<000E00001F00001F00003F00003F00003E00003E00007E00007E00007C00007C00 00FC0000FC00FFFFF8FFFFF801F80001F80001F00001F00003F00003F00003E00003E000 07E00007E00007C00007C0000FC0000FC0000F80000F80001F80101F80301F00301F0070 1F00601F00E01E01C01E03801F07000F0E0007FC0001F000152B7EA919>I<01E0000000 07F8000E000E3C001F001C3E003F00383E003E00303E003E00703E003E00607E007E00E0 7C007C00C07C007C00C0FC007C0080F800FC0000F800F80001F800F80001F000F80001F0 01F80003F001F00003E001F00003E001F00003E003F02007E003E06007C003E06007C003 E06007C003E0E007C007E0C003C00FC0C003E01FC1C003E03BE18001F071E380007FE0FF 00001F803C00231F7E9D29>I<003F007C0000FFC1FF0001C1E383800380F703C00700F6 0FC00E00FE0FC01C00FC0FC01800FC0FC03800FC07003000F800003000F800002001F800 000001F000000001F000000001F000000003F000000003E000000003E000000003E00000 0007E001000007E003000007C003003807C007007C0FC00600FC0FC00E00FC1FC00C00FC 1BC01C00F03BE038007071E0F0003FE0FFC0000F803F0000221F7E9D28>120 D<01E0000007F8000E0E3C001F1C3E003F383E003E303E003E703E003E607E007EE07C00 7CC07C007CC0FC007C80F800FC00F800F801F800F801F000F801F001F803F001F003E001 F003E001F003E003F007E003E007C003E007C003E007C007E007C007C003C00FC003E01F C003E03FC001F07F80007FEF80001F8F8000001F8000001F0000001F003E003E003E003E 007E007C007E00F8007C01F0007003E0003007C0003C0F80000FFE000003F00000202C7E 9D23>I E /Fw 73 127 df<000003FC00000000001FFF0000000000FE07C000000003F0 01F000000007E000F80000001FC000FC000E003F80007C000E007F00003E000C00FE0000 3F000C01FC00003F001C03F800001F001807F800001F801807F000001F80380FF000001F 80301FE000001F80701FE000001FC0603FC000001FC0603FC000001FC0E03FC000000FC0 C07F8000000FC1C07F8000000FC1807F8000000FC380FF8000000FC700FF0000000FC600 FF0000000FCE00FF0000000FDC00FF0000001FD800FE0000001FF800FE0000001FF000FE 0000001FE000FE0000001FC000FE0000001FC000FE0000001FC000FE0000001FC000FE00 00001FC0007E0000003FC0007E0000007FC0003F000000EFC0383F000003CFC0381F8000 0F07C0300FC0001C07C07007E000F803E0E001F00FE001E1C0007FFF0000FF80001FF000 003E00372D7CAB3E>11 D<0000000003F800000000001FFF00000000007C0F8000000001 E003E0000000078001F00000000E0001F00000001C0000F8000000380000F80000007000 00FC000000E00000FC000001C00000FC000001800000FC000003800000FC000007000000 FC000006000000FC00000E000001FC00000C000001FC00001C000001F8000018000001F8 000038000003F0000030000003F0000070000007E0000060000007E000006000000FC000 00E000000F800000C000001F000000C000003E000001C007FE7C000001801FFFF8000001 801807E0000001801FFFF80000038007FCFC0000030000007E0000030000007E00000300 00003F0000070000003F0000060000003F8000060000001F8000060000001FC0000E0000 001FC0000C0000001FC0000C0000001FC0000C0000003FC0001C0000003FC00018000000 3FC000180000003FC000180000003FC000380000007FC000300000007F8000300000007F 8000300000007F800070000000FF800070000000FF000070000000FF000070000001FE00 00F0000001FE0000F0000001FC0000F0000003FC0000F0000003F80001F0000007F80001 B8000007F000019800000FE000019800001FC000039C00003F8000030E00007F00000306 0000FE000003078001F800000701C003F000000600F01FC0000006003FFF00000006000F F00000000E0000000000000C0000000000000C0000000000000C0000000000001C000000 000000180000000000001800000000000018000000000000380000000000003000000000 000030000000000000300000000000007000000000000060000000000000600000000000 0060000000000000E0000000000000E000000000000036597DC537>I<0001FC00000000 0007FF000000E0001FFFC00000E0007FFFE00001C000FFFFF000018001FFFFF800038003 FE07F800030007F000FC00070007C0007C0006000F00003E000E001E00001E000C001C00 000F000C003C000007001C00380000070018007000000300380070000003803000600000 0180700060000001806000E000000180E00000000001C0C00000000000C0C00000000000 C1C00000000000C1800000000000C3800000000000C3000000000000E3000000000000E7 000000000000660000000000006E0000000000006C0000000000006C0000000000007C00 000000000078000000000000780000000000007800000000000070000000000000F00000 00000000E0000000000000E0000000000000E0000000000000C0000000000000C0000000 000000C0000000000001C0000000000001C0000000000001800000000000038000000000 000380000000000003800000000000038000000000000700000000000007000000000000 070000000000000F0000000000000E0000000000000E0000000000000E0000000000000E 0000000000001C0000000000001C0000000000001C0000000000001C0000000000003800 0000000000380000000000003800000033417EAB33>I<00F80003FC0003FE001FFF0007 1F007C0FC00E0F80E007E01C0FC3C003E01807C70003F01807CE0001F03807DC0001F830 07D80001F8300FF80001F8700FF00001F8600FE00001F8600FE00001F8E00FC00003F8C0 1FC00003F0C01F800003F0001F800003F0001F800007F0003F800007F0003F000007E000 3F000007E0003F00000FE0007F00000FE0007E00000FC0007E00000FC0007E00001FC000 FE00001FC000FC00001F8000FC00001F8000FC00003F8001FC00003F8001F800003F0001 F800003F0001F800007F0003F800007F0003F000007E0003F000007E0003F00000FE0007 F00000FE0007E00000FC0007E00000FC0007E00001FC000FE00001FC000FC00001F80003 800001F80000000003F80000000003F80000000003F00000000003F00000000007F00000 000007F00000000007E00000000007E0000000000FE0000000000FE0000000000FC00000 00000FC0000000001FC0000000001FC0000000001F80000000001F80000000003F800000 00003F80000000003F00000000000E00002D417DAB30>17 D<0000007E00000001FF8000 0007C3E000001F01F000003E00F000007C00F80000FC00F80001F8007C0003F0007C0003 E0007C0007E0007E000FC0007E001FC0007E001F80007E003F80007E007F00007F007F00 007F00FE00007F00FE00007F01FE00007F01FC00007F03FC00007F03F80000FF07F80000 FF07F80000FF07F00000FF0FF00000FE0FF00001FE0FF00001FE1FE00001FE1FE00001FE 1FE00003FE3FE00003FC3FC00003FC3FFFFFFFFC3FFFFFFFFC7FFFFFFFF87F800007F87F 800007F87F80000FF8FF80000FF0FF00000FF0FF00000FF0FF00001FE0FF00001FE0FE00 001FE0FE00003FC0FE00003FC0FE00003F80FE00007F80FE00007F00FC00007F00FC0000 FE00FC0000FE00FC0001FC00FC0001FC00FC0001F800FC0003F800FC0003F000FC0007E0 007C000FC0007C000FC0007C001F80007E003F00003E003E00003E007C00001E00F80000 0F01F000000783C0000003FF00000000FC00000028477CC52D>I<0007C00000000007F8 0000000000FE00000000007F00000000003F80000000001FC0000000001FC0000000001F C0000000000FE0000000000FE0000000000FE00000000007F00000000007F00000000007 F00000000003F80000000003F80000000003F80000000001FC0000000001FC0000000001 FC0000000000FE0000000000FE0000000000FE00000000007F00000000007F0000000000 7F00000000003F80000000003F80000000003F80000000001FC0000000001FC000000000 1FC0000000000FE0000000000FE0000000000FE00000000007F00000000007F000000000 07F0000000000FF8000000001FF8000000003BF80000000071FC00000000F1FC00000001 E1FC00000003C0FE0000000780FE0000000F00FE0000001E007F0000003E007F0000007C 007F000000F8003F800001F0003F800003E0003F800007C0001FC0000FC0001FC0001F80 001FC0003F00000FC0007E00000FE000FC00000FE001F8000007E003F8000007F007F000 0007F00FE0000003F01FC0000003F83F80000003F87F00000001FCFF00000001FCFE0000 0001FEFC00000000FE78000000007E2F467BC439>21 D<003F800000701FFF800000F83F FF800001F83FFF000001F8007F000001F8007F000003F8007F000003F0007E000003F000 7E000007F000FE000007E000FE000007E000FC00000FC000FC00000FC001FC00001FC001 FC00001F8001F800003F8001F800003F0003F800007E0003F800007E0003F00000FC0003 F00001F80007F00001F80007F00003F00007E00007E00007E00007C0000FE0000FC0000F E0001F80000FC0003F00000FC0007E00001FC000FC00001FC001F800001F8003F000001F 8007C000003F800F8000003F801F0000003F003C0000003F00F80000007F01E00000007F 07C00000007E1F000000007EFC00000000FFE000000000FF8000000000F800000000002D 2C7BAB30>23 D<0000006000000000006000000000006000000000006000000000006000 000000006000000000006000000000007FFF00000000FFFFC0000007F801C000001FDFFF C000007F87FE000000FF0000000003FC0000000007F8000000000FF8000000000FF00000 00001FE0000000003FE0000000003FC0000000007FC0000000007F8000000000FF800000 0000FF8000000000FF0000000000FF0000000000FF0000000000FF0000000000FF000000 00007F00000000007F80000000007F80000000003F80000000001FC0000000000FE3FF80 000007FFFFE0000001FC0060000003FFFFE000000F8FFF8000001E00000000003C000000 0000F80000000001F00000000001E00000000003C0000000000780000000000F00000000 000F00000000001E00000000003E00000000003C00000000007C00000000007800000000 00780000000000780000000000F80000000000F80000000000F80000000000F800000000 00FC0000000000FC0000000000FE00000000007F00000000007F80000000003FE0000000 003FF8000000001FFF000000000FFFC000000003FFF800000001FFFE000000007FFFC000 00000FFFF000000003FFFC000000007FFF000000001FFF8000000003FFC000000000FFC0 000000001FC0000000000FC00000000007C00000000007C00000000007C00000000007C0 000002000780000003800F80000001C00F00000000F83E000000003FF80000000007E000 002A597EC42B>I<000FFFFFFFFFE0003FFFFFFFFFF0007FFFFFFFFFF001FFFFFFFFFFE0 03FFFFFFFFFFC007E0060030000007800E003000000F000E003000001E000C007000003C 000C0070000038001C0060000070001C0060000060001800E00000E0003800E000004000 3800E0000000003800E0000000007000E0000000007001C0000000007001C000000000F0 01C000000000E001C000000001E001C000000001E003C000000001C003C000000003C003 C000000003C003C000000003C003C0000000078003C0000000078003E00000000F8003E0 0000000F8003E00000001F0003E00000001F0003E00000001F0003E00000003F0003F000 00003E0003F00000007E0003F00000007E0003F0000000FC0003F8000000FC0003F80000 01FC0001F8000001F80001F8000001F80001F8000000F00000E00000342C7EAA37>I<00 000007F0000000001FFE000000007C1F00000001F00FC0000007C007E000000F8003E000 001F0003F000003E0001F800007E0001F80000FC0001F80000F80001FC0001F80001FC00 03F00001FC0003F00001FC0007E00001FC0007E00001FC000FC00001FC000FC00003FC00 1FC00003FC001F800003FC001F800003FC001F800007FC003F800007F8003F000007F800 3F000007F8007F00000FF8007F00000FF0007E00000FF0007E00000FE000FE00001FE000 FE00001FC000FC00003FC000FC00003F8001FC00007F8001FC00007F0001FC0000FE0001 FC0000FC0003FE0001F80003FE0003F00003F70007E00003F3800FC00007F1C01F000007 F0E07E000007E07FF8000007E01FC000000FE0000000000FE0000000000FC0000000000F C0000000001FC0000000001FC0000000001F80000000001F80000000003F80000000003F 80000000003F00000000003F00000000007F00000000007F00000000007E00000000007E 0000000000FE0000000000FE0000000000FC00000000003800000000002E417DAB32>I< 000003FFFFFFE000001FFFFFFFF00000FFFFFFFFF00001FFFFFFFFE00007FFFFFFFFC000 0FF80FF80000001FC003F80000003F8001FC0000007E0000FC000000FC00007E000001F8 00007E000003F000003E000007F000003F000007E000003F00000FC000003F00000FC000 003F00001F8000003F00001F8000003F00003F8000003F00003F0000003F00003F000000 7F00007F0000007E00007E0000007E00007E0000007E00007E000000FE0000FE000000FC 0000FC000000FC0000FC000001FC0000FC000001F80000FC000001F80000FC000003F000 007C000003E000007C000007E000007C00000FC000007C00000F8000003E00001F000000 3E00003E0000001F00007C0000001F0000F80000000F8003F000000007C007C000000001 F03F00000000007FFC00000000001FE000000000342C7DAA37>I<000FFFFFFFFC003FFF FFFFFE007FFFFFFFFE01FFFFFFFFFC03FFFFFFFFF807E001C000000780018000000F0003 8000001E00038000001C0003800000380003800000700007000000600007000000E00007 00000040000F00000000000F00000000000E00000000001E00000000001E00000000001E 00000000001E00000000003C00000000003C00000000003C00000000007C00000000007C 0000000000780000000000F80000000000F80000000000F80000000000F80000000001F0 0000000001F00000000001F00000000003F00000000003F00000000003E00000000007E0 0000000007E00000000007E0000000000FE0000000000FE0000000000FC0000000000780 0000002F2C7EAA2A>I<000000001C0000000000001C0000000000001800000000000018 000000000000380000000000003800000000000030000000000000300000000000007000 0000000000700000000000006000000000000060000000000000E0000000000000E00000 00000000C0000000000000C0000000000001C0000000000001C000000000000180000000 000001800000000000038000000000000380000000000003000000000000030000000000 00070000000000007FE00000000007FFFE000000001FC63F80000000FE0E07C0000001F8 0E03F0000007E00C00F800001FC00C00FC00003F001C007E00007E001C003F0000FC0018 003F0001F80018001F8003F80038001F8007F00038001F800FE00030001FC00FE0003000 1FC01FC00070001FC01FC00070001FC03F800060001FC03F800060001FC07F0000E0001F C07F0000E0001FC07F0000C0003FC0FF0000C0003F80FE0001C0003F80FE0001C0003F80 FE000180007F80FE000180007F00FE000380007F00FC00038000FE00FC00030000FE00FC 00030001FC00FE00070003F800FE00070003F8007E00060007F0007E0006000FE0003F00 0E001FC0003F000E003F80001F800C007F00000F800C00FC000007C01C01F8000003E01C 07E0000001F8181F800000007E18FE000000001FFFF80000000001FF8000000000003000 000000000030000000000000700000000000007000000000000060000000000000600000 00000000E0000000000000E0000000000000C0000000000000C0000000000001C0000000 000001C00000000000018000000000000180000000000003800000000000038000000000 00030000000000000300000000000003000000000032597BC43A>30 D<007E000000000001FF8000000006078FE00000000E0607F00000001C0E03F800000038 0C03FC000000701C01FC000000E00001FE000000C00000FE000001C00000FF0000038000 007F0000070000007F00000E0000003F80001C0000003F8000380000003F800070000000 1FC000600000001FC000E00000001FC001C00000000FE003800000000FE0070000000007 E00E0000000007F01C0000000007F0380000000007F0300000000003F8700000000003F8 E00000000003F9C00000000001FF800000000001FF000000000001FE000000000000FC00 0000000000FE000000000000FE0000000000007E000000000000FF000000000001FF0000 00000003FF0000000000073F80000000000E3F80000000001C3F8000000000181FC00000 0000381FC000000000701FC000000000E00FC000000001C00FE000000003800FE0000000 070007F00000000E0007F00000000C0007F00000001C0003F8000000380003F800000070 0003F8000000E00001FC000001C00001FC000003800001FE000007000000FE0000060000 00FF00000E0000007F00701C0000007F8060380000003F80E0700000001FC0C0E0000000 0FE3C0C000000003FF000000000000FC0037407DAB3D>I<000000000030000000000000 003000000000000000300000000000000070000000000000006000000000000000600000 00000000006000000000000000E000000000000000C000000000000000C0000000000000 00C000000000000001C00000000000000180000000000000018000000000000001800000 000000000380000000000000030000000000000003000000000000000300000000000000 07000000000000000600000000000000060000000000000006000000000000000E000000 000000000C000000003E00000C00070000FF80000C001F8003C3C0001C003FC00703E000 18003FC00601F00018007FC00E01F00018003FC01C01F00038003FC01803F00030001FC0 3803F00030000FC03003F000300007C07003F000700007C06007F000600003C06007E000 600003C06007E000600003C0E00FE000E0000380C00FC000C0000180001FC000C0000180 001F8000C0000380001F8001C0000300003F800180000300003F000180000300003F0001 80000700007F000380000600007E000300000600007E000300000E00007E000300000C00 00FE000700001C0000FC00060000180000FC00060000380000FC00060000700000FC000E 0000600000FC000C0000E00000FC000C0001C00000FC000C0003800000FC001C00070000 00FC0018000E0000007E0018001C0000007E001800380000003F003800700000001F8030 00E00000000FC03003C000000007F0300F0000000001FE707C00000000003FFFF0000000 000003FF800000000000006000000000000000E000000000000000C000000000000000C0 00000000000000C000000000000001C00000000000000180000000000000018000000000 000001800000000000000380000000000000030000000000000003000000000000000300 000000000000070000000000000006000000000000000600000000000000060000000000 00000E000000000000000C00000000003A597DC43F>I<0000000000000E000018000000 003F000038000000007F800070000000007F80006000000000FF8000E0000000007F8001 C0000000007F800180000000003F800380000000001F800300000000001F800700000000 000F800600000000000F800E000000000007800C000000000007800C000000000007001C 000006000007001800000F000007001800000F000007003800001E000006003000001E00 0006003000001E000006003000001E00000E007000003C00000C006000003C00000C0060 00003C00001C006000003C0000180060000038000038006000007800003800E000007000 007000E000007000007000E00000F00000E000F00001F00001E000F00001F00003C000F0 0003F00003C000780007F80007800078000FF8001F80007C001F7C003F00007E007E7E00 7E00007F83FE7F03FC00003FFFFC3FFFF800003FFFF83FFFF000001FFFF01FFFE000000F FFC01FFFC0000007FF0007FF00000001FC0001F8000000392D7FAB3D>I<000007FE0000 007FFFC00001FFFFF00007FFFFF8001FF003FE003F00007E007800003E00E000000801C0 000000038000000003000000000700000000060000000006000000000600000000060000 00000700000000030000000003803E000001E7FFC000007FC1E000007FFFE00001E7FFC0 00038000000007000000000E000000001C00000000380000000070000000006000000000 6000000000E000000000C000000000C000000000C000000000C000000000C000000180E0 00000380F00000030070000007007800000E003E00003C001FC003F8000FFFFFE00003FF FFC00000FFFE0000001FF00000272F7EAC2E>I<00000000007F000030000003FFC00070 00000FFFE000E000001FFFF001C000003FFFF8038000007F01F803000000F8007C070000 01F0003C06000003E0001C0E000003C0001E0C00000780000E1C00000700000E1800000E 00000E1800000C00000E3800001C00000630000018000006300000300000063000003000 000E7000006000000C6000006000000C6000004000000C600000C000001CE00000C00000 18E0000180000018C0000180000038E0000180000030E0000300000070E00003000000E0 600003000000E0700007000001C0700007000003807800060000078038000600000F003C 000E00001E001E000E00007C001F800E0000F8000FC01C0003F00007F01C000FE00003FE 1C003FC00001FFFC03FF0000007FFFFFFE0000003FFFFFF80000000FFFFFE000000001FF FF80000000007FF80000000000F8000000000000F8000000000000F0000000000000F000 0000000001F0000000000001F0000000000001F0000000000003E0000000000003E00000 00000003E0000000000007E0000000000007E0000000000007C000000000000FC0000000 00000FC000000000000FC000000000000FC000000000001FC000000000001F8000000000 000F000000000037417BAB40>39 D<1E007F807F80FFC0FFC0FFC0FFC07F807F801E000A 0A78891B>58 D<1E007F80FF80FFC0FFC0FFE0FFE0FFE07FE01E60006000600060006000 E000C000C000C001C0018003800300070006000E001C003800700060000B1D78891B>I< 00000000000001C000000000000007E00000000000001FE00000000000007FC000000000 0001FF00000000000007FC0000000000001FF00000000000007FC0000000000001FF0000 000000000FFC0000000000003FF0000000000000FFC0000000000003FF0000000000000F F80000000000003FE0000000000000FF80000000000003FE0000000000001FF800000000 00007FE0000000000001FF80000000000007FE0000000000001FF00000000000007FC000 0000000001FF00000000000007FC0000000000001FF00000000000007FC0000000000000 FF00000000000000FF000000000000007FC00000000000001FF000000000000007FC0000 0000000001FF000000000000007FC00000000000001FF000000000000007FE0000000000 0001FF800000000000007FE00000000000001FF800000000000003FE00000000000000FF 800000000000003FE00000000000000FF800000000000003FF00000000000000FFC00000 000000003FF00000000000000FFC00000000000001FF000000000000007FC00000000000 001FF000000000000007FC00000000000001FF000000000000007FC00000000000001FE0 00000000000007E000000000000001C03B3878B44C>I<0000000018000000003C000000 007C000000007C000000007800000000F800000000F800000000F000000001F000000001 F000000001E000000003E000000003E000000003C000000007C000000007C00000000780 0000000F800000000F800000001F000000001F000000001E000000003E000000003E0000 00003C000000007C000000007C000000007800000000F800000000F800000000F0000000 01F000000001F000000003E000000003E000000003C000000007C000000007C000000007 800000000F800000000F800000000F000000001F000000001F000000001E000000003E00 0000003E000000003C000000007C000000007C00000000F800000000F800000000F00000 0001F000000001F000000001E000000003E000000003E000000003C000000007C0000000 07C000000007800000000F800000000F800000000F000000001F000000001F000000003E 000000003E000000003C000000007C000000007C000000007800000000F800000000F800 000000F000000001F000000001F000000001E000000003E000000003E000000007C00000 0007C000000007800000000F800000000F800000000F000000001F000000001F00000000 1E000000003E000000003E000000003C000000007C000000007C000000007800000000F8 00000000F800000000F000000000600000000026647BCA31>I<7000000000000000FC00 000000000000FF000000000000007FC00000000000001FF000000000000007FC00000000 000001FF000000000000007FC00000000000001FF000000000000007FE00000000000001 FF800000000000007FE00000000000001FF800000000000003FE00000000000000FF8000 00000000003FE00000000000000FF800000000000003FF00000000000000FFC000000000 00003FF00000000000000FFC00000000000001FF000000000000007FC00000000000001F F000000000000007FC00000000000001FF000000000000007FC00000000000001FE00000 000000001FE00000000000007FC0000000000001FF00000000000007FC0000000000001F F00000000000007FC0000000000001FF0000000000000FFC0000000000003FF000000000 0000FFC0000000000003FF0000000000000FF80000000000003FE0000000000000FF8000 0000000003FE0000000000001FF80000000000007FE0000000000001FF80000000000007 FE0000000000001FF00000000000007FC0000000000001FF00000000000007FC00000000 00001FF00000000000007FC0000000000000FF00000000000000FC000000000000007000 0000000000003B3878B44C>I<0000007FC00000000003FFF8000000000FFFFE00000000 3F807F8000000078000FC0000000F00007E0000001C00003F0000003800001F800000700 0000FC000006000000FC00000FC000007E00000FE000007E00000FE000003F00001FE000 003F00001FE000003F80001FE000001F80001FC000001F8000070000001F800000000000 1FC000000000001FC000000000001FC000000000001FC000000000001FC000000000001F C000000000001FC000000000001FC0000001FF001FC000000FFFC03FC000007F00F03FC0 0001F800383FC00003F0001C3FC0000FC0000C3FC0001F80000E7FC0003F0000067F8000 7E0000077F8000FC0000037F8001FC000003FF8003F8000003FF0007F0000003FF000FF0 000003FF000FE0000001FF001FE0000001FE001FE0000003FE003FC0000003FE003FC000 0003FC007FC0000003FC007F80000003FC007F80000003F8007F80000007F800FF800000 07F800FF00000007F000FF0000000FF000FF0000000FE000FF0000001FE000FE0000001F C000FE0000001FC000FE0000003F8000FE0000003F8000FE0000007F0000FE0000007E00 00FE000000FE0000FE000001FC00007E000001F800007F000003F000003F000007E00000 3F80000FC000001F80001F8000000FC0007F00000007E000FC00000003F807F800000000 FFFFE0000000007FFF80000000000FFC0000000032497CC633>64 D<000000000000300000000000000000700000000000000000F00000000000000000F000 00000000000001F00000000000000003F00000000000000003F00000000000000007F800 00000000000007F8000000000000000FF8000000000000001FF8000000000000001FF800 00000000000037F80000000000000037F80000000000000067F800000000000000E7F800 000000000000C7F80000000000000187FC0000000000000187FC0000000000000307FC00 00000000000703FC0000000000000603FC0000000000000C03FC0000000000000C03FC00 00000000001803FC0000000000003803FC0000000000003003FC0000000000006003FE00 00000000006003FE000000000000C003FE000000000001C001FE0000000000018001FE00 00000000030001FE0000000000030001FE0000000000060001FE00000000000E0001FE00 000000000C0001FE0000000000180001FE0000000000180001FF0000000000300001FF00 00000000700000FF0000000000600000FF0000000000C00000FF0000000000C00000FF00 00000001800000FF0000000003FFFFFFFF0000000003FFFFFFFF0000000007FFFFFFFF00 00000006000000FF800000000C000000FF800000001C0000007F80000000180000007F80 000000300000007F80000000300000007F80000000600000007F80000000E00000007F80 000000C00000007F80000001800000007F80000001800000007FC0000003000000007FC0 000007000000003FC0000006000000003FC000000E000000003FC000001C000000003FC0 00003C000000003FC000007C000000003FC00000FE000000007FE00007FF00000001FFE0 007FFFF000007FFFFFC0FFFFF000007FFFFFC0FFFFE000007FFFFFC042477DC649>I<00 00FFFFFFFFFF80000000FFFFFFFFFFF0000000FFFFFFFFFFFC00000000FFC00003FF0000 00007F800000FF80000000FF8000003FC0000000FF8000003FE0000000FF0000001FE000 0000FF0000000FF0000000FF0000000FF0000001FF0000000FF8000001FE00000007F800 0001FE00000007F8000001FE00000007F8000003FE00000007F8000003FC00000007F800 0003FC0000000FF8000003FC0000000FF8000007FC0000000FF0000007F80000001FF000 0007F80000001FE0000007F80000003FE000000FF80000003FC000000FF00000007F8000 000FF0000000FF0000000FF0000001FE0000001FF0000003FC0000001FE0000007F80000 001FE000001FF00000001FE000003FC00000003FE00001FF000000003FC0001FFC000000 003FFFFFFFF0000000003FFFFFFFFE000000007FC000007F800000007F8000001FC00000 007F8000000FF00000007F80000007F8000000FF80000003FC000000FF00000003FC0000 00FF00000001FE000000FF00000001FE000001FF00000001FF000001FE00000001FF0000 01FE00000001FF000001FE00000001FF000003FE00000001FF000003FC00000001FF0000 03FC00000001FF000003FC00000001FF000007FC00000001FE000007F800000003FE0000 07F800000003FE000007F800000007FC00000FF800000007FC00000FF00000000FF80000 0FF00000001FF000000FF00000001FF000001FF00000003FE000001FE00000007FC00000 1FE0000001FF8000003FE0000003FE0000003FE000000FFC0000003FC000003FF8000000 FFC00001FFE00000FFFFFFFFFFFF800000FFFFFFFFFFFC000000FFFFFFFFFFC000000045 447CC34A>I<0000000001FF800018000000003FFFF0003800000001FFFFFC0038000000 07FF007E00780000001FF0000F80F00000007F800003C1F0000001FE000001C3F0000003 FC000000E7F000000FF00000007FE000001FE00000003FE000003FC00000003FE00000FF 000000001FE00001FE000000001FC00003FC000000000FC00007F8000000000FC0000FF8 000000000FC0000FF0000000000F80001FE0000000000780003FC0000000000780007FC0 00000000078000FF8000000000070000FF0000000000070001FF0000000000070003FE00 00000000070003FE0000000000060007FC0000000000060007FC000000000006000FF800 0000000006000FF8000000000000001FF8000000000000001FF0000000000000001FF000 0000000000003FF0000000000000003FE0000000000000003FE0000000000000003FE000 0000000000007FE0000000000000007FC0000000000000007FC0000000000000007FC000 0000000000007FC000000000000000FF8000000000000000FF8000000000000000FF8000 000000000000FF8000000000000000FF800000000000C000FF800000000000C000FF8000 00000001C000FF80000000000180007F80000000000180007F80000000000380007F8000 0000000300007F80000000000700007F80000000000600003FC0000000000E00003FC000 0000001C00003FC0000000001800001FC0000000003800001FE0000000007000000FE000 000000E000000FF000000001C0000007F80000000380000003F80000000700000001FC00 00000E00000000FE0000003C000000007F00000078000000003FC00001E0000000001FF0 000FC00000000007FE007F000000000001FFFFFC0000000000003FFFE000000000000007 FF000000000045487CC546>I<0000FFFFFFFFFF8000000000FFFFFFFFFFF000000000FF FFFFFFFFFC0000000000FFC00007FF00000000007F8000007FC000000000FF8000001FE0 00000000FF8000000FF000000000FF00000007F800000000FF00000003FC00000000FF00 000001FC00000001FF00000000FE00000001FE00000000FE00000001FE000000007F0000 0001FE000000007F00000003FE000000003F80000003FC000000003F80000003FC000000 003F80000003FC000000003FC0000007FC000000003FC0000007F8000000003FC0000007 F8000000003FC0000007F8000000003FC000000FF8000000003FC000000FF0000000003F E000000FF0000000003FE000000FF0000000003FE000001FF0000000003FE000001FE000 0000003FC000001FE0000000003FC000001FE0000000003FC000003FE0000000003FC000 003FC0000000007FC000003FC0000000007FC000003FC0000000007FC000007FC0000000 007F8000007F8000000000FF8000007F8000000000FF8000007F8000000000FF800000FF 8000000000FF000000FF0000000001FF000000FF0000000001FE000000FF0000000001FE 000001FF0000000003FE000001FE0000000003FC000001FE0000000007FC000001FE0000 000007F8000003FE000000000FF0000003FC000000000FF0000003FC000000001FE00000 03FC000000001FC0000007FC000000003FC0000007F8000000003F80000007F800000000 7F00000007F800000000FE0000000FF800000001FC0000000FF000000003FC0000000FF0 00000007F80000000FF00000000FE00000001FF00000001FC00000001FE00000003F8000 00001FE0000000FF000000003FE0000001FC000000003FE000000FF8000000003FC00000 3FE000000000FFC00003FF80000000FFFFFFFFFFFE00000000FFFFFFFFFFF000000000FF FFFFFFFF00000000004B447CC351>I<0000FFFFFFFFFFFFFC0000FFFFFFFFFFFFFC0000 FFFFFFFFFFFFFC000000FFC000003FFC0000007F80000003F8000000FF80000001F80000 00FF80000000F8000000FF0000000078000000FF0000000078000000FF00000000380000 01FF0000000038000001FE0000000038000001FE0000000038000001FE00000000380000 03FE0000000030000003FC0000000030000003FC0000000030000003FC00000000300000 07FC0000000030000007F80000600030000007F80000600030000007F80000E000300000 0FF80000C0000000000FF00000C0000000000FF00000C0000000000FF00001C000000000 1FF0000180000000001FE0000380000000001FE0000780000000001FE0000F8000000000 3FE0007F00000000003FFFFFFF00000000003FFFFFFF00000000003FFFFFFF0000000000 7FC0007E00000000007F80001E00000000007F80001E00000000007F80000E0000000000 FF80000C0000000000FF00000C0000000000FF00000C0000000000FF00001C0000000001 FF0000180003000001FE0000180003000001FE0000180007000001FE0000180006000003 FE0000000006000003FC000000000E000003FC000000000C000003FC000000001C000007 FC0000000018000007F80000000038000007F80000000030000007F8000000007000000F F8000000007000000FF000000000E000000FF000000001E000000FF000000001C000001F F000000003C000001FE000000007C000001FE00000000F8000003FE00000003F8000003F E00000007F0000003FC0000003FF000000FFC000003FFE0000FFFFFFFFFFFFFE0000FFFF FFFFFFFFFE0000FFFFFFFFFFFFFC000046447CC348>I<0000FFFFFFFFFFFFF80000FFFF FFFFFFFFF80000FFFFFFFFFFFFF8000000FFC000003FF80000007F80000007F0000000FF 80000003F0000000FF80000001F0000000FF00000000F0000000FF00000000F0000000FF 0000000070000001FF0000000070000001FE0000000070000001FE0000000070000001FE 0000000070000003FE0000000060000003FC0000000060000003FC0000000060000003FC 0000000060000007FC0000000060000007F80000000060000007F80000C00060000007F8 0001C0006000000FF8000180000000000FF0000180000000000FF0000180000000000FF0 000380000000001FF0000300000000001FE0000700000000001FE0000700000000001FE0 000F00000000003FE0001E00000000003FC000FE00000000003FFFFFFE00000000003FFF FFFE00000000007FFFFFFC00000000007F8000FC00000000007F80003C00000000007F80 003C0000000000FF8000180000000000FF0000180000000000FF0000180000000000FF00 00380000000001FF0000300000000001FE0000300000000001FE0000300000000001FE00 00700000000003FE0000600000000003FC0000000000000003FC0000000000000003FC00 00000000000007FC0000000000000007F80000000000000007F80000000000000007F800 0000000000000FF8000000000000000FF0000000000000000FF0000000000000000FF000 0000000000001FF0000000000000001FE0000000000000001FE0000000000000003FE000 0000000000003FE0000000000000003FE000000000000000FFE0000000000000FFFFFFF8 0000000000FFFFFFF80000000000FFFFFFF8000000000045447CC33F>I<0000FFFFFFE0 03FFFFFF800000FFFFFFE003FFFFFF800000FFFFFFE003FFFFFF80000000FFE0000003FF 80000000007F80000001FE0000000000FF80000003FE0000000000FF80000003FE000000 0000FF00000003FC0000000000FF00000003FC0000000000FF00000007FC0000000001FF 00000007FC0000000001FE00000007F80000000001FE00000007F80000000001FE000000 0FF80000000003FE0000000FF80000000003FC0000000FF00000000003FC0000000FF000 00000003FC0000001FF00000000007FC0000001FF00000000007F80000001FE000000000 07F80000001FE00000000007F80000003FE0000000000FF80000003FE0000000000FF000 00003FC0000000000FF00000003FC0000000000FF00000007FC0000000001FF00000007F C0000000001FE00000007F80000000001FE00000007F80000000001FE0000000FF800000 00003FE0000000FF80000000003FFFFFFFFFFF00000000003FFFFFFFFFFF00000000003F FFFFFFFFFF00000000007FC0000001FF00000000007F80000001FE00000000007F800000 01FE00000000007F80000003FE0000000000FF80000003FE0000000000FF00000003FC00 00000000FF00000003FC0000000000FF00000007FC0000000001FF00000007FC00000000 01FE00000007F80000000001FE00000007F80000000001FE0000000FF80000000003FE00 00000FF80000000003FC0000000FF00000000003FC0000000FF00000000003FC0000001F F00000000007FC0000001FF00000000007F80000001FE00000000007F80000001FE00000 000007F80000003FE0000000000FF80000003FE0000000000FF00000003FC0000000000F F00000003FC0000000000FF00000007FC0000000001FF00000007FC0000000001FE00000 007F80000000001FE00000007F80000000003FE0000000FF80000000003FE0000000FF80 000000003FC0000000FF0000000000FFE0000003FF80000000FFFFFFE003FFFFFF800000 FFFFFFE003FFFFFF800000FFFFFFE003FFFFFF80000051447CC351>72 D<00007FFFFFF800007FFFFFF800007FFFFFF00000007FF0000000003FC0000000007FC0 000000007FC0000000007F80000000007F80000000007F8000000000FF8000000000FF00 00000000FF0000000000FF0000000001FF0000000001FE0000000001FE0000000001FE00 00000003FE0000000003FC0000000003FC0000000003FC0000000007FC0000000007F800 00000007F80000000007F8000000000FF8000000000FF0000000000FF0000000000FF000 0000001FF0000000001FE0000000001FE0000000001FE0000000003FE0000000003FC000 0000003FC0000000003FC0000000007FC0000000007F80000000007F80000000007F8000 000000FF8000000000FF0000000000FF0000000000FF0000000001FF0000000001FE0000 000001FE0000000001FE0000000003FE0000000003FC0000000003FC0000000003FC0000 000007FC0000000007F80000000007F80000000007F8000000000FF8000000000FF00000 00000FF0000000001FF0000000001FF0000000001FE0000000007FF00000007FFFFFF000 00FFFFFFF00000FFFFFFF000002D447DC32B>I<0000001FFFFFFC0000003FFFFFFC0000 003FFFFFF8000000000FFE000000000007FC000000000007FC000000000007FC00000000 0007F8000000000007F800000000000FF800000000000FF800000000000FF00000000000 0FF000000000001FF000000000001FF000000000001FE000000000001FE000000000003F E000000000003FE000000000003FC000000000003FC000000000007FC000000000007FC0 00000000007F8000000000007F800000000000FF800000000000FF800000000000FF0000 00000000FF000000000001FF000000000001FF000000000001FE000000000001FE000000 000003FE000000000003FE000000000003FC000000000003FC000000000007FC00000000 0007FC000000000007F8000000000007F800000000000FF800000000000FF80000000000 0FF000000000000FF000000000001FF000000000001FF000000000001FE000000000001F E000000000003FE000000000003FE000000000003FC000000F80003FC000003FE0007FC0 00003FE0007F8000007FE0007F8000007FE0007F8000007FE000FF000000FFC000FF0000 00FFC001FE000000FF0001FE0000006C0003FC000000600007F800000070000FF0000000 30001FE000000038003F800000001C007F000000000F81FC0000000003FFF00000000000 7F8000000000364679C336>I<0000FFFFFFE00001FFFFC00000FFFFFFE00001FFFFC000 00FFFFFFE00001FFFFC0000000FFE00000003FF8000000007F800000001FE000000000FF 800000001F0000000000FF800000003E0000000000FF00000000780000000000FF000000 00F00000000000FF00000001C00000000001FF00000003800000000001FE000000070000 00000001FE0000001C000000000001FE00000038000000000003FE000000700000000000 03FC000000E0000000000003FC00000380000000000003FC00000700000000000007FC00 000E00000000000007F800003800000000000007F800007000000000000007F80000E000 00000000000FF80001C00000000000000FF00007000000000000000FF0000E0000000000 00000FF0001C000000000000001FF00078000000000000001FE000F8000000000000001F E001FC000000000000001FE003FC000000000000003FE00FFC000000000000003FC01FFE 000000000000003FC03BFE000000000000003FC0E1FF000000000000007FC1C1FF000000 000000007F8380FF800000000000007F8700FF800000000000007F9C00FF800000000000 00FFB8007FC0000000000000FF70007FC0000000000000FFC0003FE0000000000000FF80 003FE0000000000001FF00003FE0000000000001FE00001FF0000000000001FE00001FF0 000000000001FE00000FF8000000000003FE00000FF8000000000003FC00000FFC000000 000003FC000007FC000000000003FC000007FC000000000007FC000003FE000000000007 F8000003FE000000000007F8000001FF000000000007F8000001FF00000000000FF80000 01FF00000000000FF0000000FF80000000000FF0000000FF80000000000FF00000007FC0 000000001FF00000007FC0000000001FE00000007FC0000000001FE00000003FE0000000 003FE00000003FE0000000003FE00000003FF0000000003FC00000003FF800000000FFE0 0000007FFC000000FFFFFFE0000FFFFFE00000FFFFFFE0001FFFFFE00000FFFFFFE0001F FFFFE0000052447CC353>I<0000FFFFFFF800000000FFFFFFF800000000FFFFFFF80000 000000FFE00000000000007FC0000000000000FF80000000000000FF80000000000000FF 00000000000000FF00000000000000FF00000000000001FF00000000000001FE00000000 000001FE00000000000001FE00000000000003FE00000000000003FC00000000000003FC 00000000000003FC00000000000007FC00000000000007F800000000000007F800000000 000007F80000000000000FF80000000000000FF00000000000000FF00000000000000FF0 0000000000001FF00000000000001FE00000000000001FE00000000000001FE000000000 00003FE00000000000003FC00000000000003FC00000000000003FC00000000000007FC0 0000000000007F800000000000007F800000000000007F80000000000000FF8000000000 0000FF00000000000000FF00000000000000FF00000000000001FF00000000000001FE00 000000C00001FE00000000C00001FE00000001C00003FE00000001800003FC0000000380 0003FC00000003000003FC00000003000007FC00000007000007F800000006000007F800 00000E000007F80000001E00000FF80000001C00000FF00000003C00000FF00000003800 000FF00000007800001FF0000000F800001FE0000001F000001FE0000003F000003FE000 000FF000003FE000001FE000003FC00000FFE00000FFC00007FFC000FFFFFFFFFFFFC000 FFFFFFFFFFFFC000FFFFFFFFFFFF80003A447CC342>I<0000FFFFC00000000003FFFE00 00FFFFC00000000007FFFE0000FFFFC0000000000FFFFE000000FFC0000000000FFE0000 00006FE0000000001BF800000000EFE0000000001FF800000000EFE00000000037F80000 0000CFE00000000067F000000000CFE00000000067F000000000CFE000000000CFF00000 0001CFE0000000018FF0000000018FE0000000018FE00000000187F0000000030FE00000 000187F0000000031FE00000000387F0000000061FE00000000307F00000000C1FC00000 000307F00000000C1FC00000000307F0000000183FC00000000707F0000000303FC00000 000607F0000000303F800000000603F8000000603F800000000603F8000000607F800000 000E03F8000000C07F800000000C03F8000001807F000000000C03F8000001807F000000 000C03F800000300FF000000001C03F800000600FF000000001803F800000600FE000000 001801FC00000C00FE000000001801FC00000C01FE000000003801FC00001801FE000000 003001FC00003001FC000000003001FC00003001FC000000003001FC00006003FC000000 007001FC0000C003FC000000006001FC0000C003F8000000006000FE00018003F8000000 006000FE00018007F800000000E000FE00030007F800000000C000FE00060007F0000000 00C000FE00060007F000000000C000FE000C000FF000000001C000FE0018000FF0000000 018000FE0018000FE00000000180007F0030000FE00000000180007F0030001FE0000000 0380007F0060001FE00000000300007F00C0001FC00000000300007F00C0001FC0000000 0300007F0180003FC00000000700007F0300003FC00000000600007F0300003F80000000 0600003F8600003F800000000600003F8600007F800000000E00003F8C00007F80000000 0C00003F9800007F000000000C00003F9800007F000000000C00003FB00000FF00000000 1C00003FE00000FF000000001800003FE00000FE000000003800001FC00000FE00000000 3800001FC00001FE000000007800001F800001FE00000000FC00001F000001FC00000003 FF00001F000007FE000000FFFFF8001E0007FFFFFE0000FFFFF8001C0007FFFFFE0000FF FFF8000C0007FFFFFE00005F447BC35E>I<0000FFFFC000000FFFFF800000FFFFE00000 0FFFFF800000FFFFE000000FFFFF800000007FE00000007FE0000000007FF00000001F80 000000007FF00000000F0000000000EFF80000000E0000000000CFF80000000E00000000 00C7F80000000C0000000000C7FC0000001C0000000001C7FC0000001C000000000183FE 00000018000000000183FE00000018000000000181FF00000038000000000381FF000000 38000000000300FF00000030000000000300FF80000030000000000300FF800000700000 000007007FC00000700000000006007FC00000600000000006003FC00000600000000006 003FE00000E0000000000E003FE00000E0000000000C001FF00000C0000000000C001FF0 0000C0000000000C000FF80001C0000000001C000FF80001C000000000180007F8000180 00000000180007FC00018000000000180007FC00038000000000380003FE000380000000 00300003FE00030000000000300001FE00030000000000300001FF000700000000007000 01FF00070000000000600000FF80060000000000600000FF800600000000006000007FC0 0E0000000000E000007FC00E0000000000C000003FC00C0000000000C000003FE00C0000 000000C000003FE01C0000000001C000001FF01C00000000018000001FF0180000000001 8000000FF01800000000018000000FF83800000000038000000FF8380000000003000000 07FC30000000000300000007FC30000000000300000003FE70000000000700000003FE70 000000000600000001FE60000000000600000001FF60000000000600000001FFE0000000 000E00000000FFE0000000000C00000000FFC0000000000C000000007FC0000000000C00 0000007FC0000000001C000000007FC00000000018000000003F80000000003800000000 3F800000000038000000001F800000000078000000001F8000000000FC000000000F0000 000003FF000000000F00000000FFFFF80000000F00000000FFFFF80000000700000000FF FFF8000000060000000051447CC34E>I<0000000003FF000000000000007FFFF0000000 000001FC01FC00000000000FE0007F00000000003F00001FC000000000FE000007E00000 0001F8000003F000000007F0000001F80000000FC0000000FC0000001F80000000FE0000 007F000000007E000000FE000000007F000001FC000000003F000003F8000000003F8000 07F0000000003F80000FF0000000001FC0000FE0000000001FC0001FC0000000001FC000 3F80000000001FE0007F80000000001FE0007F00000000001FE000FF00000000001FE001 FE00000000000FE001FE00000000001FF003FC00000000001FF003FC00000000001FF007 F800000000001FF007F800000000001FF00FF800000000001FF00FF000000000001FF01F F000000000001FE01FF000000000001FE01FE000000000003FE03FE000000000003FE03F E000000000003FE03FE000000000003FE07FC000000000007FC07FC000000000007FC07F C000000000007FC07FC00000000000FF807FC00000000000FF80FF800000000000FF80FF 800000000001FF00FF800000000001FF00FF800000000001FF00FF800000000003FE00FF 800000000003FE00FF800000000007FC00FF800000000007F800FF80000000000FF8007F 80000000000FF0007F80000000001FF0007F80000000001FE0007F80000000003FC0007F 80000000007F80003FC0000000007F80003FC000000000FF00003FC000000001FE00001F C000000003FC00001FE000000007F800000FE000000007F0000007F00000000FE0000007 F00000003F80000003F80000007F00000001FC000000FE00000000FE000001F800000000 7F000007F0000000003F80001FC0000000000FE0007F000000000003F803FC0000000000 00FFFFE00000000000000FFE000000000044487CC54B>I<0000FFFFFFFFFE00000000FF FFFFFFFFE0000000FFFFFFFFFFF800000000FFC0000FFE000000007F800001FF00000000 FF8000007F80000000FF8000003FC0000000FF0000001FE0000000FF0000001FE0000001 FF0000000FF0000001FF0000000FF0000001FE0000000FF0000001FE0000000FF8000003 FE0000000FF8000003FE0000000FF8000003FC0000000FF8000003FC0000000FF8000007 FC0000000FF8000007FC0000001FF0000007F80000001FF0000007F80000001FF000000F F80000003FE000000FF80000003FE000000FF00000003FC000000FF00000007FC000001F F00000007F8000001FF0000000FF0000001FE0000001FE0000001FE0000003FC0000003F E0000007F80000003FE000000FF00000003FC000003FC00000003FC00000FF000000007F C00007FC000000007FFFFFFFF0000000007FFFFFFF80000000007F8000000000000000FF 8000000000000000FF8000000000000000FF0000000000000000FF0000000000000001FF 0000000000000001FF0000000000000001FE0000000000000001FE0000000000000003FE 0000000000000003FE0000000000000003FC0000000000000003FC0000000000000007FC 0000000000000007FC0000000000000007F80000000000000007F8000000000000000FF8 000000000000000FF8000000000000000FF0000000000000000FF0000000000000001FF0 000000000000001FF0000000000000001FE0000000000000001FE0000000000000003FE0 000000000000003FE0000000000000003FC000000000000000FFE0000000000000FFFFFF E00000000000FFFFFFE00000000000FFFFFFE0000000000045447CC33F>I<0000FFFFFF FFF000000000FFFFFFFFFF00000000FFFFFFFFFFE000000000FFC0003FF8000000007F80 0007FC00000000FF800001FE00000000FF8000007F00000000FF0000003F80000000FF00 00003FC0000000FF0000001FE0000001FF0000001FE0000001FE0000001FE0000001FE00 00001FF0000001FE0000001FF0000003FE0000001FF0000003FC0000001FF0000003FC00 00001FF0000003FC0000001FF0000007FC0000003FE0000007F80000003FE0000007F800 00003FE0000007F80000007FC000000FF80000007F8000000FF0000000FF8000000FF000 0000FF0000000FF0000001FE0000001FF0000003FC0000001FE0000007F80000001FE000 000FE00000001FE000001FC00000003FE000007F000000003FC00003FC000000003FC000 1FF0000000003FFFFFFF80000000007FFFFFFE00000000007F80007F80000000007F8000 0FC0000000007F800007F000000000FF800003F800000000FF000003FC00000000FF0000 01FC00000000FF000001FE00000001FF000001FE00000001FE000000FE00000001FE0000 00FE00000001FE000001FE00000003FE000001FE00000003FC000001FE00000003FC0000 01FE00000003FC000003FE00000007FC000003FE00000007F8000003FE00000007F80000 03FE00000007F8000007FC0000000FF8000007FC0000000FF0000007FC0000000FF00000 07FC0000000FF0000007FC0000001FF0000007FC0018001FE0000007FC0018001FE00000 07FC0018003FE0000007F80038003FE0000007F80030003FC0000007FC007000FFE00000 03FC00E0FFFFFFE00003FC01C0FFFFFFE00001FC0380FFFFFFE00000FE0F000000000000 003FFE0000000000000007F00045467CC34A>82 D<00000000FF80018000000007FFF003 800000003FFFFC0380000000FF007E0780000001F8000F0F80000007E000079F0000000F C00003FF0000001F000001FF0000003E000000FF0000007C000000FE0000007C0000007E 000000F80000007E000001F00000007E000001F00000003C000003E00000003C000003E0 0000003C000007E00000003C000007C000000038000007C000000038000007C000000038 00000FC00000003800000FC00000003000000FE00000003000000FE00000003000000FE0 0000000000000FF000000000000007F800000000000007FC00000000000007FF00000000 000003FFE0000000000003FFFC000000000001FFFFC00000000000FFFFFC00000000007F FFFF00000000003FFFFFC0000000000FFFFFE00000000003FFFFF800000000003FFFF800 0000000007FFFC0000000000007FFE0000000000000FFE00000000000003FE0000000000 0001FF00000000000000FF000000000000007F000000000000007F000000000000003F00 0000000000003F000006000000003F000006000000003F000006000000003F0000060000 00003F00000E000000003E00000E000000003E00000C000000003E00000C000000007E00 001E000000007C00001E000000007C00001E00000000F800001E00000000F000003F0000 0001F000003F00000003E000003F80000007C000003F8000000F8000007FC000001F0000 007FE000003E0000007CF800007C000000787E0001F8000000F01FC00FE0000000E007FF FF80000000E001FFFE00000000C0003FF00000000039487BC53C>I<01FFFFFFFFFFFFFF C003FFFFFFFFFFFFFFC003FFFFFFFFFFFFFFC003FF0000FF8000FF8007F00000FF00001F 8007E00001FF00000F8007800001FF000007800F000001FE000007800F000001FE000003 800E000001FE000003801C000003FE000003001C000003FC0000030018000003FC000003 0038000003FC0000030030000007FC0000030030000007F80000070070000007F8000006 0060000007F800000600E000000FF800000600C000000FF000000600C000000FF0000006 00C000000FF0000006000000001FF0000000000000001FE0000000000000001FE0000000 000000001FE0000000000000003FE0000000000000003FC0000000000000003FC0000000 000000003FC0000000000000007FC0000000000000007F80000000000000007F80000000 000000007F8000000000000000FF8000000000000000FF0000000000000000FF00000000 00000000FF0000000000000001FF0000000000000001FE0000000000000001FE00000000 00000001FE0000000000000003FE0000000000000003FC0000000000000003FC00000000 00000003FC0000000000000007FC0000000000000007F80000000000000007F800000000 00000007F8000000000000000FF8000000000000000FF0000000000000000FF000000000 0000000FF0000000000000001FF0000000000000001FE0000000000000001FE000000000 0000001FE0000000000000003FE0000000000000003FC0000000000000003FC000000000 0000007FC0000000000000007FC000000000000000FFC000000000000003FFE000000000 001FFFFFFFFC000000001FFFFFFFFC000000001FFFFFFFF80000000042447EC339>I<3F FFFFF80003FFFFE03FFFFFF80003FFFFE03FFFFFF80003FFFFE0003FF80000001FF80000 1FE000000007E000003FE000000003C000003FE0000000038000003FC000000003800000 3FC0000000030000003FC0000000070000007FC0000000060000007F8000000006000000 7F80000000060000007F800000000E000000FF800000000C000000FF000000000C000000 FF000000000C000000FF000000001C000001FF0000000018000001FE0000000018000001 FE0000000018000001FE0000000038000003FE0000000030000003FC0000000030000003 FC0000000030000003FC0000000070000007FC0000000060000007F80000000060000007 F80000000060000007F800000000E000000FF800000000E000000FF000000000C000000F F000000000C000000FF000000001C000001FF000000001C000001FE0000000018000001F E0000000018000001FE0000000038000003FE0000000038000003FC0000000030000003F C0000000030000003FC0000000070000007FC0000000070000007F80000000060000007F 80000000060000007F800000000E000000FF800000000C000000FF000000000C000000FF 000000001C000000FF000000001C000000FF0000000018000000FF0000000038000000FF 0000000030000000FE0000000070000000FE00000000E0000000FF00000000C00000007F 00000001C00000007F00000003800000007F00000007000000003F0000000E000000003F 8000001E000000001F8000003C000000001FC0000078000000000FE00001E00000000007 F00003C00000000003F8001F800000000000FF00FE0000000000007FFFF8000000000000 1FFFE000000000000001FF00000000000043467AC342>I<7FFFFF8000001FFFF8FFFFFF 8000003FFFF8FFFFFF8000003FFFF801FFE000000003FF0000FF8000000001FC0000FF80 00000000F00000FF8000000000E00000FF8000000001C00000FF8000000001C000007F80 000000038000007F80000000030000007F80000000060000007F80000000060000007F80 0000000C0000007FC0000000180000007FC0000000180000003FC0000000300000003FC0 000000700000003FC0000000600000003FC0000000C00000003FC0000000C00000003FC0 000001800000003FE0000003000000003FE0000003000000001FE0000006000000001FE0 00000E000000001FE000000C000000001FE0000018000000001FE0000018000000001FF0 000030000000001FF0000060000000001FF0000060000000000FF00000C0000000000FF0 0001C0000000000FF0000180000000000FF0000300000000000FF0000300000000000FF8 000600000000000FF8000C00000000000FF8000C000000000007F80018000000000007F8 0030000000000007F80030000000000007F80060000000000007F800E0000000000007FC 00C0000000000007FC0180000000000003FC0180000000000003FC0300000000000003FC 0600000000000003FC0600000000000003FC0C00000000000003FC1C00000000000003FE 1800000000000003FE3000000000000001FE3000000000000001FE6000000000000001FE C000000000000001FEC000000000000001FF8000000000000001FF8000000000000001FF 0000000000000001FE0000000000000000FE0000000000000000FC0000000000000000F8 0000000000000000F80000000000000000F00000000000000000F00000000000000000E0 00000000000045467BC339>II<00003FFF FFE0001FFFFF00003FFFFFE0001FFFFF00003FFFFFE0001FFFFF0000007FFE000003FFE0 0000003FF8000001FE000000001FF0000000FC000000001FF0000000F0000000000FF800 0001E0000000000FF8000001C00000000007FC000003800000000007FC00000600000000 0007FC00000E000000000003FE00001C000000000003FE000038000000000001FF000070 000000000001FF0000E0000000000001FF8001C0000000000000FF800180000000000000 FF8003000000000000007FC006000000000000007FC00C000000000000003FE018000000 000000003FE030000000000000003FE060000000000000001FF0C0000000000000001FF1 C0000000000000000FFB80000000000000000FFF00000000000000000FFE000000000000 000007FC000000000000000007FC000000000000000003FE000000000000000003FE0000 00000000000003FE000000000000000001FF000000000000000003FF0000000000000000 06FF80000000000000000CFF80000000000000001C7FC000000000000000387FC0000000 00000000707FC000000000000000E03FE000000000000001C03FE000000000000003801F F000000000000003001FF000000000000006001FF00000000000000C000FF80000000000 0018000FF8000000000000300007FC000000000000600007FC000000000000C00007FC00 0000000001800003FE000000000003800003FE000000000007000001FF00000000000E00 0001FF00000000001C000001FF000000000038000000FF800000000030000000FF800000 0000E00000007FC000000001C00000007FC000000003C00000003FE00000000780000000 3FE00000001F800000003FE00000003FC00000007FF0000003FFE0000001FFF800007FFF FC00001FFFFFF000FFFFFC00001FFFFFF000FFFFFC00001FFFFFF00050447EC351>II<00000FFFFFFFFFFFC000001FFFFFFFFFFFC000001FFFFFFFFFFF8000001F FF800001FF0000001FF8000001FF0000003FE0000003FE0000003F80000007FC0000003F 0000000FF80000007E0000001FF00000007C0000003FE0000000780000007FC0000000F0 000000FF80000000F0000000FF80000000E0000001FF00000000C0000003FE00000001C0 000007FC00000001C000000FF8000000018000001FF0000000038000003FE00000000300 00007FC000000003000000FF8000000003000000FF8000000000000001FF000000000000 0003FE0000000000000007FC000000000000000FF8000000000000001FF0000000000000 003FE0000000000000007FC000000000000000FF8000000000000000FF80000000000000 01FF0000000000000003FE0000000000000007FC000000000000000FF800000000000000 1FF0000000000000003FE0000000000000007FC0000000000000007FC000000000000000 FF8000000000000001FF0000000000000003FE0000000000000007FC000006000000000F F8000006000000001FF0000006000000003FE000000E000000007FC000000C000000007F C000000C00000000FF8000001C00000001FF0000001800000003FE0000003800000007FC 000000380000000FF8000000700000001FF0000000700000003FE0000000F00000007FC0 000000E00000007FC0000001E0000000FF80000003E0000001FF00000007C0000003FE00 00000FC0000007FC0000001FC000000FF80000003F8000001FF0000000FF8000003FE000 0003FF8000003FE000003FFF0000007FFFFFFFFFFF000000FFFFFFFFFFFF000000FFFFFF FFFFFE00000042447BC343>I<00000FC0000000007FF000000001F8381C000007E01C7E 00000FC00E7E00003F0007FE00007F0003FC0000FE0003FC0001FC0003FC0001F80001FC 0003F80001F80007F00001F8000FF00001F8000FE00003F8001FE00003F0001FE00003F0 003FC00003F0003FC00007F0007FC00007E0007F800007E0007F800007E0007F80000FE0 00FF80000FC000FF00000FC000FF00000FC000FF00001FC000FF00001F8000FE00001F80 00FE00001F8000FE00003F8030FE00003F0070FE00003F0060FE00003F0060FE00007F00 E0FE00007F00C0FE0000FE00C07E0001FE00C07E0003FE01C03E00073E01803F000E3E03 801F001C3E03000F80381F070007C0F00F0E0001FFC007FC00007F0001F0002C2D7CAB33 >97 D<000FE0000007FFE0000007FFE0000007FFE00000001FC00000000FC00000001FC0 0000001FC00000001F800000001F800000001F800000003F800000003F000000003F0000 00003F000000007F000000007E000000007E000000007E00000000FE00000000FC000000 00FC00000000FC00000001FC00000001F800000001F80FC00001F83FF00003F8F07C0003 F3C03E0003F7001F0003FE001F8007FC000F8007F8000FC007F0000FC007F0000FE00FE0 000FE00FC0000FE00FC0000FE00FC0000FE01FC0000FE01F80000FE01F80000FE01F8000 1FE03F80001FE03F00001FE03F00001FE03F00003FE07F00003FC07E00003FC07E00003F C07E00007FC07E00007F80FC00007F80FC00007F00FC0000FF00FC0000FF00FC0001FE00 7C0001FC007C0001FC007C0003F8007C0007F0007C0007E0003C000FE0003E001FC0001E 003F80001F007E00000F00FC000007C1F0000001FFC00000007F00000023467CC429>I< 000007F80000003FFF000000FC07C00003F000E00007E00070001F800030003F00007000 7E0003F800FE0007F801FC0007F803F8000FF007F8000FF007F0000FF00FF00007C01FE0 0000001FE00000003FC00000003FC00000007FC00000007F800000007F800000007F8000 0000FF80000000FF00000000FF00000000FF00000000FF00000000FE00000000FE000000 00FE00000000FE00000000FE00000000FE00000018FE00000038FE000000707E000000E0 7E000001C03F000003803F000007001F80001E000F8000380007C001F00003F00FC00000 FFFE0000001FF00000252D7CAB2A>I<0000000001FC00000000FFFC00000000FFFC0000 0000FFFC0000000003F80000000001F80000000003F80000000003F80000000003F00000 000003F00000000007F00000000007F00000000007E00000000007E0000000000FE00000 00000FE0000000000FC0000000000FC0000000001FC0000000001FC0000000001F800000 00001F80000000003F80000000003F80000000003F0000000FC03F0000007FF07F000001 F8387F000007E01C7E00000FC00E7E00003F0007FE00007F0003FE0000FE0003FC0001FC 0003FC0001F80001FC0003F80001FC0007F00001F8000FF00001F8000FE00003F8001FE0 0003F8001FE00003F0003FC00003F0003FC00007F0007FC00007F0007F800007E0007F80 0007E0007F80000FE000FF80000FE000FF00000FC000FF00000FC000FF00001FC000FF00 001FC000FE00001F8000FE00001F8000FE00003F8030FE00003F8070FE00003F0060FE00 003F0060FE00007F00E0FE00007F00C0FE0000FE00C07E0001FE00C07E0003FE01C03E00 073E01803F000E3E03801F001C3E03000F80381F070007C0F00F0E0001FFC007FC00007F 0001F0002E467CC433>I<000007F80000003FFE000001FC07800003F003C0000FC001E0 001F8000E0007F0000E000FE00007001FC00007003F80000F007F80000E007F00000E00F F00001E01FE00001C01FE00003C03FC00007803FC0001F003FC000FC007FC01FF0007FFF FF80007FFFF000007F80000000FF80000000FF00000000FF00000000FF00000000FF0000 0000FF00000000FE00000000FE00000000FE00000000FE00000000FE000000187E000000 387E000000707F000000E03F000001C03F000003801F000007000F80001E000FC0003800 07E001F00001F00FC000007FFE0000001FF00000252D7CAB2D>I<0000000007E0000000 001FF8000000007C1C00000000F80E00000001F03E00000003E07F00000003E0FF000000 07E1FF00000007C1FF00000007C1FE0000000FC0FC0000000FC0780000000FC000000000 1F80000000001F80000000001F80000000001F80000000003F80000000003F0000000000 3F00000000003F00000000003F00000000007F00000000007E00000000007E0000000000 7E00000000007E00000000FFFFFF800000FFFFFF800000FFFFFF80000000FC0000000000 FC0000000000FC0000000001FC0000000001F80000000001F80000000001F80000000001 F80000000003F80000000003F00000000003F00000000003F00000000003F00000000007 F00000000007E00000000007E00000000007E00000000007E0000000000FE0000000000F C0000000000FC0000000000FC0000000000FC0000000000FC0000000001FC0000000001F 80000000001F80000000001F80000000001F80000000003F80000000003F00000000003F 00000000003F00000000003F00000000007F00000000007E00000000007E00000000007E 00000000007E0000000000FC0000000000FC0000000000FC0000000000FC0000000000F8 0000000001F80000000001F80000000001F00000000001F00000001C03F00000007F03E0 000000FF03E0000000FF03C0000000FF07C0000000FF0780000000FE0F00000000F80F00 000000601E00000000783C000000001FF00000000007C000000000305A7BC530>I<0000 007E0000000003FF800000000FC1E0E000001F0073F000007E0033F00000FC003FF00001 F8001FF00003F8001FE00007F0000FE0000FE0000FE0000FE0000FE0001FC0000FC0003F C0000FC0003F80001FC0007F80001FC0007F00001F8000FF00001F8000FF00003F8001FF 00003F8001FE00003F0001FE00003F0001FE00007F0003FE00007F0003FC00007E0003FC 00007E0003FC0000FE0003FC0000FE0003F80000FC0003F80000FC0003F80001FC0003F8 0001FC0003F80001F80003F80001F80003F80003F80003F80007F80001F80007F00001F8 000FF00000F8001FF00000FC003FF000007C0077E000003E01E7E000001F078FE0000007 FE0FE0000001F80FC0000000000FC0000000001FC0000000001FC0000000001F80000000 001F80000000003F80000000003F80000000003F00000000003F00001C00007E00007F00 00FE0000FF0000FC0000FF0001F80000FF0003F80000FE0007F00000FE000FC00000F800 1F8000007C00FE0000001FFFF800000003FFC00000002C407EAB2F>I<0000FE00000000 7FFE000000007FFE000000007FFE0000000001FC0000000000FC0000000001FC00000000 01FC0000000001F80000000001F80000000003F80000000003F80000000003F000000000 03F00000000007F00000000007F00000000007E00000000007E0000000000FE000000000 0FE0000000000FC0000000000FC0000000001FC0000000001FC0000000001F8000000000 1F803FC000003F81FFF000003F87C0FC00003F0E007E00003F3C003E00007F70003F0000 7FE0001F00007FC0001F80007F80001F8000FF80001F8000FF00001F8000FE00001F8000 FE00001F8001FC00003F8001FC00003F0001F800003F0001F800003F0003F800007F0003 F800007E0003F000007E0003F000007E0007F00000FE0007F00000FC0007E00000FC0007 E00001FC000FE00001F8000FE00001F8000FC00003F8000FC00003F0001FC00003F0071F C00007F0061F800007E0061F80000FE0063F80000FC00E3F80000FC00C3F00000FC01C3F 00000F80187F00000F80387F00000F80307E00000F80707E00000F80E0FE00000781C0FE 000007C380FC000001FF00380000007C0030467BC438>I<00001E0000003F0000007F00 0000FF000000FF000000FF0000007E000000380000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 00000000003E000000FF800001C3C0000781E0000601F0000E01F0001C01F0001803F000 3803F0003003F0003003F0007007F0006007E0006007E000E00FE000C00FC000001FC000 001F8000001F8000003F8000003F0000003F0000007F0000007E000000FE000000FC0000 00FC000001FC000001F8000001F8038003F8030003F0030007F0030007E0070007E00600 07E00E0007E00C0007C01C0007C0180007C0380007C0700003C0E00003E1C00000FF8000 003E000019437DC121>I<000000003C00000000FE00000000FE00000001FE00000001FE 00000001FE00000001FC0000000070000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000FC00000003FF0000000F078000001C07C0000038 03E000007003E00000E003E00000C003E00001C003E000018007E000038007E000030007 E000070007E00006000FE0000E000FE0000C000FC00000000FC00000001FC00000001FC0 0000001F800000001F800000003F800000003F800000003F000000003F000000007F0000 00007F000000007E000000007E00000000FE00000000FE00000000FC00000000FC000000 01FC00000001FC00000001F800000001F800000003F800000003F800000003F000000003 F000000007F000000007F000000007E000000007E00000000FE00000000FE00000000FC0 0000000FC00000001FC00000001F800000001F800000003F80001C003F00007F003F0000 FF007E0000FF00FC0000FF00FC0000FE01F80000FE03E00000F807C00000781F8000003F FE00000007F0000000275681C128>I<0000FE000000007FFE000000007FFE000000007F FE0000000001FC0000000000FC0000000001FC0000000001FC0000000001F80000000001 F80000000003F80000000003F80000000003F00000000003F00000000007F00000000007 F00000000007E00000000007E0000000000FE0000000000FE0000000000FC0000000000F C0000000001FC0000000001FC0000000001F80000000001F80003F00003F8000FFC0003F 8003C0E0003F000703E0003F001E0FE0007F00380FE0007F00701FE0007E00E01FE0007E 01C01FE000FE01801FC000FE0380070000FC0700000000FC0E00000001FC1C00000001FC 3800000001F87000000001F8E000000003FBC000000003FF0000000003FF8000000003FF F800000007F1FE00000007F03F80000007E00FE0000007E007F000000FE003F000000FE0 03F800000FC001F800000FC001F800001FC001F801C01FC001F801801F8001F801801F80 01F801803F8001F803803F8001F803003F0001F003003F0001F007007F0001F006007F00 01F00E007E0001F00C007E0001F01C00FE0000F03800FE0000787000FC00003FE0003800 000F80002B467BC433>I<0003F801FFF801FFF801FFF80007F00003F00007F00007F000 07E00007E0000FE0000FE0000FC0000FC0001FC0001FC0001F80001F80003F80003F8000 3F00003F00007F00007F00007E00007E0000FE0000FE0000FC0000FC0001FC0001FC0001 F80001F80003F80003F80003F00003F00007F00007F00007E00007E0000FE0000FE0000F C0000FC0001FC0001FC0001F80001F80003F80003F80003F00003F00007F00607F00E07E 00C07E00C07E01C0FE0180FC0180FC0180FC03807C03007C07007C06003E0E001E1C000F F80003E00015467CC41D>I<00F80003FC00007F800003FE001FFF0003FFE000071F007C 0FC00F81F8000E0F80E007E01C00FC001C0FC3C003E078007C001807C70003F0E0007E00 1807CE0001F1C0003E003807DC0001FB80003F003007D80001FB00003F00300FF80001FF 00003F00700FF00001FE00003F00600FE00001FC00003F00600FE00001FC00003F00E00F C00003F800007F00C01FC00003F800007E00C01F800003F000007E00001F800003F00000 7E00001F800007F00000FE00003F800007F00000FC00003F000007E00000FC00003F0000 07E00000FC00003F00000FE00001FC00007F00000FE00001F800007E00000FC00001F800 007E00000FC00003F800007E00001FC00003F00000FE00001FC00003F00000FC00001F80 0007F00000FC00001F800007E00000FC00003F800007E00E01FC00003F80000FE00C01F8 00003F00000FC00C01F800003F00001FC00C01F800007F00001F801C03F800007F00001F 801803F000007E00001F803803F000007E00001F003003F00000FE00001F007007F00000 FE00001F006007E00000FC00001F00E007E00000FC00001F01C007E00001FC00000F0380 0FE00001FC00000F87000FC00001F8000003FE000380000070000000F8004F2D7DAB55> I<00F80003FC000003FE001FFF0000071F007C0FC0000E0F80E007E0000C07C3C003E000 1C07C70003F0001807CE0001F0003807DC0001F8003007D80001F800300FF80001F80070 0FF00001F800600FE00001F800600FE00001F800E00FC00003F800C01FC00003F000C01F 800003F000001F800003F000001F800007F000003F800007E000003F000007E000003F00 0007E000003F00000FE000007F00000FC000007E00000FC000007E00001FC000007E0000 1F800000FE00001F800000FC00003F800000FC00003F000000FC00003F007001FC00007F 006001F800007E006001F80000FE006001F80000FC00E003F80000FC00C003F00000FC01 C003F00000F8018003F00000F8038007F00000F8030007E00000F8070007E00000F80E00 07E00000781C000FE000007C38000FC000001FF0000380000007C000342D7DAB3A>I<00 0003FC000000003FFF00000000FE07C0000003F003F0000007E001F800001FC000FC0000 3F00007C00007F00007E0000FE00007F0001FC00003F0003F800003F0007F800003F8007 F000003F800FF000003F801FE000003F801FE000003F803FC000003F803FC000007F807F C000007F807F8000007F807F8000007F807F800000FF80FF800000FF00FF000000FF00FF 000000FF00FF000001FF00FF000001FE00FE000001FE00FE000003FC00FE000003FC00FE 000003F800FE000007F800FE000007F000FE00000FE000FE00001FE0007E00001FC0007E 00003F80003F00007F00003F0000FE00001F8001F800000FC003F0000007E00FC0000001 F03F80000000FFFC000000001FE0000000292D7CAB2F>I<0003E0003F8000000FF800FF E000001C7C03C0F80000383E07007C0000703F1E007E0000601F38003F0000601F70003F 0000E01F60001F8000C01FE0001F8000C03FC0001F8001C03F80001FC001803F00001FC0 01803F00001FC003807F00001FC003007F00001FC003007E00001FC000007E00001FC000 00FE00003FC00000FE00003FC00000FC00003FC00000FC00003FC00001FC00007FC00001 FC00007F800001F800007F800001F800007F800003F80000FF800003F80000FF000003F0 0000FF000003F00000FE000007F00001FE000007F00001FC000007E00003FC000007E000 03F800000FE00007F800000FE00007F000000FE0000FE000000FE0000FC000001FF0001F 8000001FF0003F0000001FB8007E0000001F9800FC0000003F9C01F80000003F8F07E000 00003F03FF800000003F00FC000000007F0000000000007F0000000000007E0000000000 007E000000000000FE000000000000FE000000000000FC000000000000FC000000000001 FC000000000001FC000000000001F8000000000001F8000000000003F8000000000003F8 000000000007F80000000000FFFFF000000000FFFFF000000000FFFFE000000000323F83 AB31>I<00F8000FC003FE007FF0070F00F0380E0F83C07C0C07C701FC1C07CE01FC1807 DC03FC3807D803FC3007F803FC300FF003F8700FE000E0600FE00000600FC00000E00FC0 0000C01FC00000C01F800000001F800000001F800000003F800000003F000000003F0000 00003F000000007F000000007E000000007E000000007E00000000FE00000000FC000000 00FC00000000FC00000001FC00000001F800000001F800000001F800000003F800000003 F000000003F000000003F000000007F000000007E000000007E000000007E00000000FE0 0000000FC00000000380000000262D7DAB2C>114 D<00000FF00000007FFE000001F00F 8000078001C0000F0000E0001E000060003C000060003C0001F000780007F000780007F0 00F8000FE000F0000FE000F8000FE000F800038000FC00000000FE00000000FF00000000 FFF80000007FFF8000007FFFE000003FFFF800001FFFFC000007FFFE000000FFFE000000 07FF00000000FF000000007F000000003F800000001F800E00001F803F00000F007F8000 0F007F80000F007F80001F00FF00001E00FF00001E00FC00003C006000003C0060000078 00700000F000380001E0001C0007C0000F803F000003FFFC0000007FE00000242D7BAB2E >I<00001C0000007E0000007E0000007E000000FE000000FC000000FC000000FC000001 FC000001F8000001F8000001F8000003F8000003F0000003F0000003F0000007F0000007 E0000007E0007FFFFFFCFFFFFFFCFFFFFFF8000FC000000FC000001FC000001F8000001F 8000001F8000003F8000003F0000003F0000003F0000007F0000007E0000007E0000007E 000000FE000000FC000000FC000000FC000001FC000001F8000001F8000001F8000003F8 000003F0000003F0000003F0007007F0006007E0006007E000E007E000C00FE001C00FC0 01800FC003800FC0070007C0060007C00E0007C01C0003E0380001E0F00000FFC000003F 00001E3F7EBD23>I<003E000000000000FF800000E00003C3C00003F0000703E00003F0 000601F00003F0000E01F00007F0001C01F00007F0001803F00007E0003803F00007E000 3003F0000FE0003003F0000FE0007007F0000FC0006007E0000FC0006007E0001FC000E0 0FE0001FC000C00FC0001F8000001FC0001F8000001F80003F8000001F80003F8000003F 80003F0000003F00003F0000003F00007F0000007F00007F0000007E00007E0000007E00 007E0000007E0000FE000000FE0000FE000000FC0000FC000000FC0000FC000000FC0001 FC018000FC0001FC038001F80001F8030001F80001F8030001F80001F8070001F80003F8 060001F80003F0060000F80007F0060000F8000FF00E0000FC000DF00C00007C001DF01C 00007C0039F01800003E00F0F83800001F03C07870000007FF803FE0000001FC000F8000 312D7DAB38>I<003E00000E0000FF80003F8003C3C0007F800703E0007F800601F0007F 800E01F0007F801C01F0007F801803F0003F803803F0001F803003F0000F803003F0000F 807007F00007806007E00007806007E0000780E00FE0000700C00FC0000300001FC00003 00001F80000700001F80000600003F80000600003F00000600003F00000E00007F00000C 00007E00000C00007E00000C00007E00001C0000FE0000180000FC0000180000FC000038 0000FC0000300000FC0000700001F80000600001F80000E00001F80000C00001F80001C0 0000F80001800000F80003800000FC0007000000FC00060000007C000E0000007E001C00 00003F00780000000F81E000000007FFC000000000FE000000292D7DAB2F>I<0000FC00 07E00003FF801FFC000F07C0781E001C03E0E01F003801F1C07F007000F1807F00E000FB 80FF01C000FF00FF018000FE00FF038000FE00FE030000FE0038070000FC0000060000FC 0000060001FC00000E0001F800000C0001F80000000001F80000000003F80000000003F0 0000000003F00000000003F00000000007F00000000007E00000000007E00000000007E0 000000000FE0000000000FC0000000000FC0000000000FC0000000001FC0003800001FC0 003000001F80003000001F80007000003F8000601E003F8000603F003F8000E07F807F80 01C07F806F800180FF80EF800380FF01CF800700FE0187C00E007C0383C01C003C0F01E0 78001FFC00FFE00003F0003F8000302D7EAB37>120 D<003E0000000000FF800000E003 C3C00003F00703E00003F00601F00003F00E01F00007F01C01F00007E01803F00007E038 03F00007E03003F0000FE07003F0000FC06007F0000FC06007E0000FC06007E0001FC0E0 0FE0001F80C00FC0001F80001FC0001F80001F80003F80001F80003F00003F80003F0000 3F00003F00003F00007F00007F00007E00007E00007E00007E00007E00007E0000FE0000 FE0000FC0000FC0000FC0000FC0000FC0000FC0001FC0000FC0001F80001F80001F80001 F80001F80001F80003F80001F80003F00001F80003F00000F80007F00000F8000FF00000 FC000FE000007C001FE000007C003FE000003E00FFE000001F03CFC0000007FF8FC00000 01FC0FC0000000001FC0000000001F80000000001F80000000003F80000000003F000007 C0007F00001FE0007E00001FE000FC00001FE000FC00003FC001F800003FC003F000003F 8003E00000380007C0000018000F8000001C001F0000000E007C0000000781F800000003 FFE0000000007F000000002C407DAB30>I<00007C0001800001FF0003800003FF800300 000FFFC00700001FFFE00E00001FFFF01C00003F03F838000078007EF8000070001FF000 00600001E00000E00001C00000C0000380000000000700000000000E00000000001C0000 000000380000000000700000000000E00000000001C00000000003800000000007000000 00000E00000000001C0000000000380000000000700000000000E00000000003C0000000 000700000000000E00000000001C00001C0000380000180000700000180000E000003800 01C00000300001800000700003900000F00007FF0001E0000FEFC007C0001E03F01FC000 1C01FFFF80003800FFFF00007000FFFE000060007FFC0000E0003FF00000C0000FC00000 292D7CAB2D>I<000000003000000000007800000000007C00000000007C00000000003C 00000000003E00000000003F00000000001F007FFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFF C07FFFFFFFFFC0000000007F0000000000FC0000000001F80000000003F00000000003E0 0000000007C00000000007C0000000000300002A146EC631>126 D E /Fx 47 123 df<00000000007FFF80000000000000001FFFFFF000000000000001FF FFFFFC0000000000000FFFFFFFFE0000000000007FFFFFFFFF800000000001FFFFE007FF C00000000003FFFE00007FE0000000000FFFF000001FF0000000001FFFC000007FF00000 00003FFF000000FFF8000000007FFE000001FFF800000000FFFC000003FFFC00000001FF F8000007FFFC00000003FFF0000007FFFC00000003FFF0000007FFFC00000007FFE00000 07FFFC00000007FFE000000FFFFE0000000FFFE0000007FFFC0000000FFFC0000007FFFC 0000000FFFC0000007FFFC0000000FFFC0000007FFFC0000000FFFC0000003FFF8000000 0FFFC0000001FFF00000000FFFC0000000FFE00000000FFFC00000007FC00000000FFFC0 00000000000000000FFFC000000000000000000FFFC000000000000000000FFFC0000000 00000000000FFFC000000000000000000FFFC000000000000000000FFFC0000000000000 00000FFFC000000000000000000FFFC000000000000000000FFFC000000000000000000F FFC000000000000000000FFFC00003FFFFFE0000FFFFFFFFFFFFFFFFFE0000FFFFFFFFFF FFFFFFFE0000FFFFFFFFFFFFFFFFFE0000FFFFFFFFFFFFFFFFFE0000FFFFFFFFFFFFFFFF FE0000FFFFFFFFFFFFFFFFFE0000000FFFE0000001FFFE0000000FFFE0000000FFFE0000 000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFF E0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE00000 00FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE 0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE000000 0FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0 000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000 FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE00 00000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000F FFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE000 0000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FF FE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000 000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFF E0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE00000 00FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE 0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE0000000FFFE000000 0FFFE0000000FFFE00003FFFFFFFF803FFFFFFFF803FFFFFFFF803FFFFFFFF803FFFFFFF F803FFFFFFFF803FFFFFFFF803FFFFFFFF803FFFFFFFF803FFFFFFFF803FFFFFFFF803FF FFFFFF8051657DE45A>12 D45 D<01FC0007FF000FFF801F FFC03FFFE07FFFF07FFFF0FFFFF8FFFFF8FFFFF8FFFFF8FFFFF8FFFFF8FFFFF87FFFF07F FFF03FFFE01FFFC00FFF8007FF0001FC00151574942D>I<0000000FFF00000000000001 FFFFF800000000000FFFFFFF00000000003FFFFFFFC000000000FFFFFFFFF000000001FF FC03FFF800000007FFF000FFFE0000000FFFC0003FFF0000001FFF00000FFF8000003FFE 000007FFC000007FFE000007FFE00000FFFC000003FFF00000FFF8000001FFF00001FFF8 000001FFF80003FFF0000000FFFC0003FFF0000000FFFC0007FFF0000000FFFE0007FFE0 0000007FFE000FFFE00000007FFF000FFFE00000007FFF000FFFE00000007FFF001FFFE0 0000007FFF801FFFE00000007FFF801FFFE00000007FFF803FFFE00000007FFFC03FFFC0 0000003FFFC03FFFC00000003FFFC03FFFC00000003FFFC07FFFC00000003FFFE07FFFC0 0000003FFFE07FFFC00000003FFFE07FFFC00000003FFFE07FFFC00000003FFFE07FFFC0 0000003FFFE07FFFC00000003FFFE0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC0 0000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC0 0000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC0 0000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC0 0000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC0 0000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC0 0000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF07FFFC0 0000003FFFE07FFFC00000003FFFE07FFFC00000003FFFE07FFFC00000003FFFE07FFFC0 0000003FFFE07FFFC00000003FFFE07FFFC00000003FFFE03FFFC00000003FFFC03FFFC0 0000003FFFC03FFFE00000007FFFC03FFFE00000007FFFC01FFFE00000007FFF801FFFE0 0000007FFF801FFFE00000007FFF800FFFE00000007FFF000FFFE00000007FFF000FFFE0 0000007FFF0007FFF0000000FFFE0007FFF0000000FFFE0003FFF0000000FFFC0003FFF0 000000FFFC0001FFF8000001FFF80000FFF8000001FFF00000FFFC000003FFF000007FFE 000007FFE000003FFF00000FFFC000001FFF80001FFF8000000FFFC0003FFF00000007FF F000FFFE00000003FFFC03FFFC00000000FFFFFFFFF0000000003FFFFFFFC0000000000F FFFFFF000000000001FFFFF80000000000001FFF8000000044607ADD51>48 D<00000000F000000000000001F800000000000007F80000000000001FF8000000000000 3FF8000000000001FFF8000000000007FFF800000000007FFFF8000000000FFFFFF80000 00FFFFFFFFF8000000FFFFFFFFF8000000FFFFFFFFF8000000FFFFFFFFF8000000FFFF87 FFF8000000FFF007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007 FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007 FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007 FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007 FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007 FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007 FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007 FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007 FFF8000000000007FFF8000000000007FFF80000007FFFFFFFFFFFFF807FFFFFFFFFFFFF 807FFFFFFFFFFFFF807FFFFFFFFFFFFF807FFFFFFFFFFFFF807FFFFFFFFFFFFF80395E74 DD51>I<000001FFF800000000001FFFFFC000000000FFFFFFF800000003FFFFFFFF0000 000FFFFFFFFFC000003FFFFFFFFFE000007FFC01FFFFF80000FFE0003FFFFC0001FF0000 0FFFFE0003FE000007FFFF0007F8000003FFFF800FF0000001FFFFC01FE0000000FFFFE0 3FC00000007FFFF03FFC0000007FFFF87FFE0000003FFFF87FFF0000003FFFFC7FFF8000 001FFFFCFFFFC000001FFFFEFFFFC000000FFFFEFFFFE000000FFFFEFFFFE000000FFFFE FFFFE000000FFFFFFFFFE000000FFFFFFFFFE0000007FFFFFFFFE0000007FFFFFFFFE000 0007FFFF7FFFC0000007FFFF7FFFC0000007FFFF3FFF80000007FFFF1FFF00000007FFFF 07FC0000000FFFFF01F00000000FFFFF00000000000FFFFE00000000000FFFFE00000000 000FFFFE00000000001FFFFC00000000001FFFFC00000000001FFFF800000000003FFFF8 00000000003FFFF000000000007FFFE000000000007FFFE00000000000FFFFC000000000 00FFFF800000000001FFFF000000000003FFFE000000000003FFFC000000000007FFF800 000000000FFFF000000000000FFFE000000000001FFF8000000000003FFF000000000000 7FFE000000000000FFFC000000000001FFF0000000000001FFE0000000000003FF800000 00000007FF0000000000000FFE0000000000001FF80000000000003FF00000000000007F E0000000000000FFC000003F000001FF8000003F000003FE0000003F000007FC0000003F 00000FF80000007E00001FF00000007E00003FE00000007E00007F800000007E00007F00 0000007E0000FE00000000FE0001FC00000000FE0003F800000000FE0007F000000001FC 000FC000000007FC001FFFFFFFFFFFFC003FFFFFFFFFFFFC007FFFFFFFFFFFFC00FFFFFF FFFFFFFC01FFFFFFFFFFFFFC03FFFFFFFFFFFFF807FFFFFFFFFFFFF80FFFFFFFFFFFFFF8 1FFFFFFFFFFFFFF83FFFFFFFFFFFFFF87FFFFFFFFFFFFFF8FFFFFFFFFFFFFFF8FFFFFFFF FFFFFFF8FFFFFFFFFFFFFFF0FFFFFFFFFFFFFFF0FFFFFFFFFFFFFFF0FFFFFFFFFFFFFFF0 405E78DD51>I<000000FFFF0000000000000FFFFFF800000000003FFFFFFF0000000001 FFFFFFFFC000000003FFFFFFFFF00000000FFFC01FFFFC0000001FFC0007FFFE0000003F E00001FFFF0000007FC00000FFFF800000FF0000007FFFC00001FE0000007FFFE00003FF 0000003FFFF00003FFC000003FFFF00007FFE000003FFFF80007FFF000001FFFF80007FF F800001FFFFC000FFFFC00001FFFFC000FFFFC00001FFFFC000FFFFC00001FFFFC000FFF FC00001FFFFC000FFFFE00001FFFFC000FFFFC00001FFFFC000FFFFC00001FFFFC000FFF FC00001FFFFC0007FFFC00003FFFFC0007FFF800003FFFF80003FFF000003FFFF80001FF E000003FFFF80000FFC000003FFFF000001F0000007FFFF00000000000007FFFE0000000 0000007FFFE0000000000000FFFFC0000000000000FFFF80000000000001FFFF00000000 000001FFFE00000000000003FFFC00000000000007FFF80000000000000FFFF000000000 00001FFFE00000000000007FFF8000000000000FFFFE00000000000FFFFFF80000000000 0FFFFFE000000000000FFFFF0000000000000FFFFFF800000000000FFFFFFF0000000000 00003FFFE000000000000007FFF800000000000001FFFE00000000000000FFFF00000000 0000007FFF800000000000003FFFE00000000000003FFFF00000000000001FFFF8000000 0000001FFFF80000000000000FFFFC0000000000000FFFFE0000000000000FFFFE000000 0000000FFFFF00000000000007FFFF00000000000007FFFF80000000000007FFFF800000 00000007FFFF80000000000007FFFFC003FC00000007FFFFC00FFF00000007FFFFC01FFF 80000007FFFFC03FFFC0000007FFFFC07FFFE0000007FFFFC07FFFE0000007FFFFC0FFFF F0000007FFFFC0FFFFF0000007FFFFC0FFFFF0000007FFFFC0FFFFF0000007FFFF80FFFF F0000007FFFF80FFFFF0000007FFFF80FFFFF000000FFFFF00FFFFE000000FFFFF007FFF E000000FFFFF007FFFC000000FFFFE007FFFC000001FFFFE003FFF8000001FFFFC003FFE 0000003FFFF8001FF80000003FFFF0000FF80000007FFFF00007FE000000FFFFE00003FF 800001FFFF800001FFF00007FFFF000000FFFF803FFFFE0000007FFFFFFFFFFC0000001F FFFFFFFFF000000007FFFFFFFFC000000001FFFFFFFE00000000001FFFFFF00000000000 01FFFE00000000426079DD51>I<0000000000001F80000000000000003FC00000000000 00007FC000000000000000FFC000000000000000FFC000000000000001FFC00000000000 0003FFC000000000000007FFC00000000000000FFFC00000000000000FFFC00000000000 001FFFC00000000000003FFFC00000000000007FFFC00000000000007FFFC00000000000 00FFFFC0000000000001FFFFC0000000000003FFFFC0000000000007FFFFC00000000000 07FFFFC000000000000FFFFFC000000000001FFFFFC000000000003FBFFFC00000000000 7F3FFFC000000000007F3FFFC00000000000FE3FFFC00000000001FC3FFFC00000000003 F83FFFC00000000007F03FFFC00000000007F03FFFC0000000000FE03FFFC0000000001F C03FFFC0000000003F803FFFC0000000003F003FFFC0000000007F003FFFC000000000FE 003FFFC000000001FC003FFFC000000003F8003FFFC000000003F8003FFFC000000007F0 003FFFC00000000FE0003FFFC00000001FC0003FFFC00000003F80003FFFC00000003F80 003FFFC00000007F00003FFFC0000000FE00003FFFC0000001FC00003FFFC0000001F800 003FFFC0000003F800003FFFC0000007F000003FFFC000000FE000003FFFC000001FC000 003FFFC000001F8000003FFFC000003F8000003FFFC000007F0000003FFFC00000FE0000 003FFFC00001FC0000003FFFC00001FC0000003FFFC00003F80000003FFFC00007F00000 003FFFC0000FE00000003FFFC0000FC00000003FFFC0001FC00000003FFFC0003F800000 003FFFC0007F000000003FFFC000FE000000003FFFC000FFFFFFFFFFFFFFFFFFFFFFFFFF FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF FFFFFFFFFF00000000007FFFC00000000000007FFFC00000000000007FFFC00000000000 007FFFC00000000000007FFFC00000000000007FFFC00000000000007FFFC00000000000 007FFFC00000000000007FFFC00000000000007FFFC00000000000007FFFC00000000000 007FFFC00000000000007FFFC00000000000007FFFC00000000000007FFFC00000000000 007FFFC00000000000007FFFC0000000007FFFFFFFFFFF0000007FFFFFFFFFFF0000007F FFFFFFFFFF0000007FFFFFFFFFFF0000007FFFFFFFFFFF0000007FFFFFFFFFFF485E7CDD 51>I<00C00000000001C001F8000000000FC001FF000000007FC001FFF0000007FFC001 FFFF8000FFFFC001FFFFFFFFFFFF8001FFFFFFFFFFFF0001FFFFFFFFFFFE0001FFFFFFFF FFFC0001FFFFFFFFFFF80001FFFFFFFFFFF00001FFFFFFFFFFE00001FFFFFFFFFFC00001 FFFFFFFFFF800001FFFFFFFFFF000001FFFFFFFFFC000001FFFFFFFFF8000001FFFFFFFF E0000001FFFFFFFF80000001FFFFFFFC00000001FFFFFFE000000001FC3FFC0000000001 FC00000000000001FC00000000000001FC00000000000001FC00000000000001FC000000 00000001FC00000000000001FC00000000000001FC00000000000001FC00000000000001 FC00000000000001FC00000000000001FC00000000000001FC00000000000001FC003FFE 00000001FC03FFFFF0000001FC0FFFFFFE000001FC3FFFFFFF800001FCFFFFFFFFE00001 FDFFE00FFFF00001FFFE0003FFF80001FFF80000FFFC0001FFE000007FFF0001FF800000 3FFF8001FF0000003FFF8001FE0000001FFFC001FC0000001FFFE001FC0000000FFFF000 F00000000FFFF000000000000FFFF800000000000FFFF800000000000FFFFC0000000000 07FFFC000000000007FFFC000000000007FFFE000000000007FFFE000000000007FFFE00 0000000007FFFE000000000007FFFF000000000007FFFF000000000007FFFF03F0000000 07FFFF0FFC00000007FFFF1FFE00000007FFFF3FFF00000007FFFF7FFF80000007FFFF7F FF80000007FFFFFFFFC0000007FFFFFFFFC0000007FFFFFFFFC0000007FFFFFFFFC00000 07FFFEFFFFC0000007FFFEFFFFC0000007FFFEFFFF80000007FFFEFFFF8000000FFFFC7F FF0000000FFFFC7FFE0000000FFFFC7FFC0000000FFFF83FF00000000FFFF83F80000000 1FFFF03FC00000001FFFE01FC00000003FFFE00FE00000003FFFC00FF00000007FFF8007 FC000000FFFF0003FE000001FFFE0001FF800007FFFC0000FFE0001FFFF800007FFE00FF FFF000003FFFFFFFFFC000000FFFFFFFFF00000007FFFFFFFC00000001FFFFFFF0000000 003FFFFF800000000003FFF0000000406078DD51>I<000000001FFF00000000000003FF FFE000000000001FFFFFF80000000000FFFFFFFE0000000003FFFFFFFF0000000007FFFC 03FF800000001FFFC0007FC00000003FFF00001FE0000000FFFC00000FF0000001FFF800 0007F0000003FFF000007FF8000007FFE00000FFF800000FFFC00001FFF800001FFF8000 03FFFC00003FFF000003FFFC00007FFF000007FFFC00007FFE000007FFFC0000FFFE0000 07FFFC0001FFFC000007FFFC0001FFFC000007FFFC0003FFFC000007FFFC0003FFF80000 03FFF80007FFF8000003FFF80007FFF8000001FFF0000FFFF0000000FFE0000FFFF00000 007FC0001FFFF00000000000001FFFF00000000000001FFFF00000000000003FFFF00000 000000003FFFF00000000000003FFFF00000000000003FFFE00000000000007FFFE001FF E00000007FFFE00FFFFE0000007FFFE03FFFFF8000007FFFE07FFFFFE000007FFFE0FFFF FFF800007FFFE1FE03FFFC0000FFFFE3F0007FFE0000FFFFE7E0003FFF0000FFFFEFC000 1FFF8000FFFFEF80000FFFC000FFFFFF000007FFE000FFFFFE000007FFF000FFFFFE0000 03FFF800FFFFFC000003FFFC00FFFFFC000003FFFC00FFFFF8000003FFFE00FFFFF80000 01FFFE00FFFFF8000001FFFF00FFFFF8000001FFFF00FFFFF0000001FFFF80FFFFF00000 01FFFF80FFFFF0000001FFFF80FFFFF0000001FFFF80FFFFF0000001FFFF80FFFFE00000 01FFFFC0FFFFE0000001FFFFC0FFFFE0000001FFFFC07FFFE0000001FFFFC07FFFE00000 01FFFFC07FFFE0000001FFFFC07FFFE0000001FFFFC07FFFE0000001FFFFC07FFFE00000 01FFFFC07FFFE0000001FFFFC03FFFE0000001FFFFC03FFFE0000001FFFFC03FFFE00000 01FFFFC03FFFE0000001FFFFC01FFFE0000001FFFFC01FFFF0000001FFFF801FFFF00000 01FFFF800FFFF0000001FFFF800FFFF0000001FFFF800FFFF0000001FFFF0007FFF00000 01FFFF0007FFF0000003FFFE0003FFF0000003FFFE0003FFF8000003FFFC0001FFF80000 03FFFC0001FFFC000003FFF80000FFFC000007FFF000007FFE000007FFF000003FFE0000 0FFFE000001FFF00001FFFC000000FFFC0003FFF80000007FFE000FFFF00000003FFFC07 FFFC00000001FFFFFFFFF800000000FFFFFFFFF0000000003FFFFFFFC0000000000FFFFF FF000000000001FFFFF80000000000001FFF80000000426079DD51>I<07E00000000000 00000FE0000000000000000FF0000000000000000FFC000000000000000FFFFC00000000 00000FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF80FFFFFFFFFFFFF FFF81FFFFFFFFFFFFFFFF81FFFFFFFFFFFFFFFF81FFFFFFFFFFFFFFFF01FFFFFFFFFFFFF FFE01FFFFFFFFFFFFFFFC01FFFFFFFFFFFFFFF801FFFFFFFFFFFFFFF001FFFFFFFFFFFFF FF003FFFFFFFFFFFFFFE003FFFFFFFFFFFFFFC003FFFFFFFFFFFFFF8003FFFFFFFFFFFFF F0003FFFFFFFFFFFFFE0003FE0000000003FE0003F80000000007FC0007F0000000000FF 80007F0000000001FF00007F0000000001FE00007E0000000003FC00007E0000000007FC 00007E000000000FF800007E000000001FF000007E000000003FE00000FC000000003FC0 0000FC000000007F800000FC00000000FF800000FC00000001FF0000000000000003FE00 00000000000003FC0000000000000007F8000000000000000FF8000000000000001FF000 0000000000001FE0000000000000003FE0000000000000007FC000000000000000FFC000 000000000000FF8000000000000001FF8000000000000001FF0000000000000003FF0000 000000000007FF0000000000000007FE000000000000000FFE000000000000000FFE0000 00000000001FFC000000000000001FFC000000000000003FFC000000000000003FFC0000 00000000007FF8000000000000007FF800000000000000FFF800000000000000FFF80000 0000000000FFF800000000000001FFF000000000000001FFF000000000000003FFF00000 0000000003FFF000000000000003FFF000000000000007FFF000000000000007FFF00000 0000000007FFF000000000000007FFF00000000000000FFFE00000000000000FFFE00000 000000000FFFE00000000000000FFFE00000000000001FFFE00000000000001FFFE00000 000000001FFFE00000000000001FFFE00000000000001FFFE00000000000001FFFE00000 000000003FFFE00000000000003FFFE00000000000003FFFE00000000000003FFFE00000 000000003FFFE00000000000003FFFE00000000000003FFFE00000000000003FFFE00000 000000003FFFE00000000000003FFFE00000000000003FFFE00000000000003FFFE00000 000000003FFFE00000000000001FFFC00000000000001FFFC00000000000000FFF800000 0000000003FE0000000000000001FC0000000000456377E051>I<0000003FFF80000000 000003FFFFFC00000000001FFFFFFF80000000007FFFFFFFE000000001FFFFFFFFF80000 0003FFF007FFFC0000000FFF00007FFE0000001FFC00001FFF0000003FF000000FFF8000 007FE0000003FFC00000FFC0000003FFE00000FFC0000001FFF00001FF80000000FFF000 01FF80000000FFF80003FF000000007FF80003FF000000007FF80007FF000000007FFC00 07FF000000003FFC0007FF000000003FFC000FFF000000003FFC000FFF800000003FFC00 0FFF800000003FFC000FFF800000003FFC000FFFC00000003FFC000FFFE00000003FFC00 0FFFF00000007FFC000FFFF80000007FF8000FFFFE0000007FF8000FFFFF8000007FF800 0FFFFFC00000FFF00007FFFFF00000FFF00007FFFFFC0001FFE00007FFFFFF0003FFC000 03FFFFFF8003FFC00003FFFFFFE007FF800001FFFFFFF80FFF000001FFFFFFFE1FFE0000 00FFFFFFFF7FF8000000FFFFFFFFFFF00000007FFFFFFFFFC00000003FFFFFFFFF800000 001FFFFFFFFE000000000FFFFFFFFF8000000007FFFFFFFFE000000001FFFFFFFFF00000 0000FFFFFFFFFC000000003FFFFFFFFE000000007FFFFFFFFF00000001FFFFFFFFFF8000 0007FFFFFFFFFFC000000FFFFFFFFFFFE000003FFE3FFFFFFFF000007FFC0FFFFFFFF800 00FFF003FFFFFFFC0001FFE000FFFFFFFC0003FFC0007FFFFFFE0007FF80001FFFFFFE00 0FFF000007FFFFFF000FFF000001FFFFFF001FFE000000FFFFFF803FFE0000003FFFFF80 3FFC0000000FFFFF807FFC00000007FFFFC07FF800000001FFFFC07FF8000000007FFFC0 7FF8000000003FFFC0FFF8000000001FFFC0FFF0000000001FFFC0FFF0000000000FFFC0 FFF00000000007FFC0FFF00000000007FFC0FFF00000000007FFC0FFF00000000003FFC0 FFF00000000003FFC0FFF00000000003FF80FFF00000000003FF80FFF80000000003FF80 7FF80000000003FF007FF80000000007FF007FFC0000000007FF003FFC0000000007FE00 3FFE000000000FFE001FFE000000000FFC001FFF000000001FF8000FFF800000003FF800 07FFC00000007FF00003FFF0000000FFE00001FFFC000003FFC00000FFFF00001FFF8000 007FFFF001FFFE0000003FFFFFFFFFFC0000000FFFFFFFFFF000000003FFFFFFFFE00000 0000FFFFFFFF00000000000FFFFFF80000000000007FFF00000000426079DD51>I<0000 003FFF00000000000007FFFFF000000000003FFFFFFC0000000000FFFFFFFF0000000003 FFFFFFFFC000000007FFF807FFE00000000FFFC001FFF80000003FFF80007FFC0000007F FE00003FFE000000FFFC00001FFF000001FFFC00001FFF800003FFF800000FFF800003FF F8000007FFC00007FFF0000007FFE0000FFFF0000007FFE0001FFFF0000003FFF0001FFF F0000003FFF8003FFFF0000003FFF8003FFFE0000003FFF8003FFFE0000003FFFC007FFF E0000003FFFC007FFFE0000003FFFE007FFFE0000001FFFE007FFFE0000001FFFE00FFFF E0000001FFFF00FFFFE0000001FFFF00FFFFE0000001FFFF00FFFFE0000001FFFF00FFFF E0000001FFFF80FFFFE0000001FFFF80FFFFE0000001FFFF80FFFFE0000001FFFF80FFFF E0000001FFFF80FFFFE0000001FFFF80FFFFE0000001FFFF80FFFFE0000001FFFFC0FFFF E0000001FFFFC0FFFFE0000001FFFFC0FFFFE0000003FFFFC07FFFE0000003FFFFC07FFF E0000003FFFFC07FFFE0000003FFFFC07FFFE0000003FFFFC03FFFE0000007FFFFC03FFF E0000007FFFFC01FFFE0000007FFFFC01FFFF0000007FFFFC00FFFF000000FFFFFC00FFF F000000FFFFFC007FFF000001FFFFFC003FFF800001FFFFFC001FFF800003FFFFFC000FF FC00007DFFFFC0007FFE0000FDFFFFC0003FFF0001F9FFFFC0001FFF8003F1FFFFC0000F FFF01FE1FFFFC00007FFFFFFC1FFFF800001FFFFFF81FFFF8000007FFFFF01FFFF800000 1FFFFC01FFFF80000001FFE001FFFF80000000000001FFFF80000000000001FFFF000000 00000001FFFF00000000000003FFFF00000000000003FFFF00000000000003FFFE000000 00000003FFFE00000000000003FFFE0000FF80000003FFFC0001FFC0000003FFFC0003FF E0000007FFF80007FFF0000007FFF80007FFF0000007FFF8000FFFF8000007FFF0000FFF F800000FFFF0000FFFF800000FFFE0000FFFF800000FFFC0000FFFF800001FFFC0000FFF F800001FFF80000FFFF000003FFF00000FFFF000007FFE000007FFE000007FFE000007FF C00000FFFC000007FF800003FFF8000003FC000007FFF0000001FE00001FFFC0000001FF C0007FFF80000000FFF803FFFF000000007FFFFFFFFC000000003FFFFFFFF8000000000F FFFFFFE00000000003FFFFFF000000000000FFFFF80000000000000FFF80000000004260 79DD51>I<0000000000000FE00000000000000000000000001FF0000000000000000000 0000001FF00000000000000000000000003FF80000000000000000000000003FF8000000 0000000000000000003FF80000000000000000000000007FFC0000000000000000000000 007FFC000000000000000000000000FFFE000000000000000000000000FFFE0000000000 00000000000000FFFE000000000000000000000001FFFF000000000000000000000001FF FF000000000000000000000003FFFF800000000000000000000003FFFF80000000000000 0000000007FFFFC00000000000000000000007FFFFC00000000000000000000007FFFFC0 000000000000000000000FFFFFE0000000000000000000000FFFFFE00000000000000000 00001FFFFFF0000000000000000000001FFFFFF0000000000000000000001FFFFFF00000 00000000000000003FFFFFF8000000000000000000003FFFFFF800000000000000000000 7FBFFFFC000000000000000000007FBFFFFC000000000000000000007F1FFFFC00000000 000000000000FF1FFFFE00000000000000000000FE1FFFFE00000000000000000001FE0F FFFF00000000000000000001FE0FFFFF00000000000000000001FC07FFFF000000000000 00000003FC07FFFF80000000000000000003F807FFFF80000000000000000007F803FFFF C0000000000000000007F803FFFFC0000000000000000007F001FFFFC000000000000000 000FF001FFFFE000000000000000000FE001FFFFE000000000000000001FE000FFFFF000 000000000000001FE000FFFFF000000000000000001FC0007FFFF000000000000000003F C0007FFFF800000000000000003F80007FFFF800000000000000007F80003FFFFC000000 00000000007F80003FFFFC00000000000000007F00001FFFFC0000000000000000FF0000 1FFFFE0000000000000000FE00001FFFFE0000000000000001FE00000FFFFF0000000000 000001FE00000FFFFF0000000000000001FC000007FFFF0000000000000003FC000007FF FF8000000000000003F8000007FFFF8000000000000007F8000003FFFFC0000000000000 07F8000003FFFFC000000000000007F0000001FFFFC00000000000000FF0000001FFFFE0 0000000000000FE0000001FFFFE00000000000001FE0000000FFFFF00000000000001FE0 000000FFFFF00000000000001FC00000007FFFF00000000000003FC00000007FFFF80000 000000003F800000007FFFF80000000000007F800000003FFFFC0000000000007FFFFFFF FFFFFFFC0000000000007FFFFFFFFFFFFFFC000000000000FFFFFFFFFFFFFFFE00000000 0000FFFFFFFFFFFFFFFE000000000001FFFFFFFFFFFFFFFF000000000001FFFFFFFFFFFF FFFF000000000001FC0000000007FFFF000000000003FC0000000007FFFF800000000003 F80000000007FFFF800000000007F80000000003FFFFC00000000007F00000000003FFFF C00000000007F00000000001FFFFC0000000000FF00000000001FFFFE0000000000FE000 00000000FFFFE0000000001FE00000000000FFFFF0000000001FC00000000000FFFFF000 0000001FC000000000007FFFF0000000003FC000000000007FFFF8000000003F80000000 00003FFFF8000000007F8000000000003FFFFC000000007F0000000000003FFFFC000000 007F0000000000001FFFFC00000000FF0000000000001FFFFE00000000FE000000000000 0FFFFE00000001FE0000000000000FFFFF00000001FC0000000000000FFFFF00000003FE 00000000000007FFFF8000001FFFC0000000000007FFFF8000FFFFFFFFE0000000FFFFFF FFFFFEFFFFFFFFE0000000FFFFFFFFFFFEFFFFFFFFE0000000FFFFFFFFFFFEFFFFFFFFE0 000000FFFFFFFFFFFEFFFFFFFFE0000000FFFFFFFFFFFEFFFFFFFFE0000000FFFFFFFFFF FE6F647BE37A>65 D<000000000001FFFF00000003C000000000007FFFFFF0000007C000 00000007FFFFFFFE00000FC0000000007FFFFFFFFFC0001FC000000001FFFFFFFFFFF000 3FC00000000FFFFFFFFFFFFC007FC00000003FFFFFF8007FFE00FFC0000000FFFFFF0000 07FF81FFC0000001FFFFF0000001FFC3FFC0000007FFFFC00000007FE7FFC000000FFFFF 000000001FFFFFC000003FFFFC0000000007FFFFC000007FFFF00000000003FFFFC00000 FFFFE00000000001FFFFC00001FFFF800000000000FFFFC00003FFFF0000000000007FFF C00007FFFE0000000000003FFFC0000FFFFC0000000000001FFFC0001FFFF80000000000 000FFFC0003FFFF800000000000007FFC0003FFFF000000000000007FFC0007FFFE00000 0000000003FFC000FFFFE000000000000003FFC001FFFFC000000000000001FFC001FFFF C000000000000001FFC003FFFF8000000000000000FFC003FFFF8000000000000000FFC0 07FFFF00000000000000007FC007FFFF00000000000000007FC00FFFFF00000000000000 007FC00FFFFE00000000000000003FC01FFFFE00000000000000003FC01FFFFE00000000 000000003FC01FFFFE00000000000000003FC03FFFFC00000000000000001FC03FFFFC00 000000000000001FC03FFFFC00000000000000001FC03FFFFC00000000000000001FC07F FFFC000000000000000000007FFFFC000000000000000000007FFFF80000000000000000 00007FFFF8000000000000000000007FFFF800000000000000000000FFFFF80000000000 0000000000FFFFF800000000000000000000FFFFF800000000000000000000FFFFF80000 0000000000000000FFFFF800000000000000000000FFFFF800000000000000000000FFFF F800000000000000000000FFFFF800000000000000000000FFFFF8000000000000000000 00FFFFF800000000000000000000FFFFF800000000000000000000FFFFF8000000000000 00000000FFFFF800000000000000000000FFFFF800000000000000000000FFFFF8000000 00000000000000FFFFF8000000000000000000007FFFF8000000000000000000007FFFF8 000000000000000000007FFFF8000000000000000000007FFFFC00000000000000000000 7FFFFC000000000000000000003FFFFC000000000000000000003FFFFC00000000000000 0000003FFFFC00000000000000000FC03FFFFC00000000000000000FC01FFFFE00000000 000000000FC01FFFFE00000000000000000FC01FFFFE00000000000000000FC00FFFFE00 000000000000000FC00FFFFF00000000000000001FC007FFFF00000000000000001F8007 FFFF00000000000000001F8003FFFF80000000000000001F8003FFFF8000000000000000 3F8001FFFFC0000000000000003F0001FFFFC0000000000000003F0000FFFFE000000000 0000007F00007FFFE000000000000000FE00003FFFF000000000000000FE00003FFFF800 000000000001FC00001FFFF800000000000001FC00000FFFFC00000000000003F8000007 FFFE00000000000007F0000003FFFF0000000000000FE0000001FFFF8000000000001FE0 000000FFFFE000000000003FC00000007FFFF00000000000FF800000003FFFFC00000000 01FF000000000FFFFF0000000007FE0000000007FFFFC00000001FF80000000001FFFFF8 0000007FF00000000000FFFFFF000003FFE000000000003FFFFFF8003FFF800000000000 0FFFFFFFFFFFFE00000000000001FFFFFFFFFFF8000000000000007FFFFFFFFFE0000000 0000000007FFFFFFFF8000000000000000007FFFFFF800000000000000000001FFFF0000 000000626677E375>67 D69 D72 DI<00000FFFFFFFFFFFF000000FFFFFFFFFFFF000000FFFFFFF FFFFF000000FFFFFFFFFFFF000000FFFFFFFFFFFF000000FFFFFFFFFFFF00000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF80000000000001FFFF80000000000001FFFF80000000000001FF FF80000000000001FFFF800003FC000001FFFF80000FFF000001FFFF80001FFF800001FF FF80003FFFC00001FFFF80007FFFE00001FFFF80007FFFE00001FFFF8000FFFFF00001FF FF8000FFFFF00001FFFF8000FFFFF00001FFFF8000FFFFF00001FFFF8000FFFFF00003FF FF8000FFFFF00003FFFF0000FFFFF00003FFFF0000FFFFF00003FFFF00007FFFE00007FF FE00007FFFE00007FFFC00007FFFC0000FFFFC00003FFF00000FFFF800001FFE00001FFF F000001FF800003FFFE000000FFE00007FFFC0000007FF8000FFFF80000001FFF807FFFE 00000000FFFFFFFFFC000000003FFFFFFFF0000000000FFFFFFFC00000000001FFFFFE00 00000000001FFFC00000000044647CE153>I78 D82 D<000000FFFC000001E000000FFFFFE00003E000 007FFFFFFC0007E00001FFFFFFFF000FE00007FFFFFFFFC01FE0001FFFFFFFFFF01FE000 3FFFC007FFF83FE0007FFE00003FFE7FE000FFF800000FFFFFE001FFE0000001FFFFE003 FFC0000000FFFFE007FF800000003FFFE007FF000000001FFFE00FFE000000000FFFE01F FE0000000007FFE01FFC0000000003FFE03FFC0000000001FFE03FFC0000000000FFE03F F80000000000FFE07FF800000000007FE07FF800000000007FE07FF800000000003FE07F F800000000003FE0FFF800000000001FE0FFF800000000001FE0FFFC00000000001FE0FF FC00000000000FE0FFFC00000000000FE0FFFE00000000000FE0FFFE00000000000FE0FF FF000000000007E0FFFF800000000007E0FFFFC00000000007E0FFFFE00000000007E07F FFF80000000000007FFFFC0000000000007FFFFF8000000000007FFFFFF800000000003F FFFFFFC0000000003FFFFFFFFC000000001FFFFFFFFFE00000001FFFFFFFFFFE0000000F FFFFFFFFFFE000000FFFFFFFFFFFF8000007FFFFFFFFFFFE000003FFFFFFFFFFFF800001 FFFFFFFFFFFFC00000FFFFFFFFFFFFE000007FFFFFFFFFFFF800003FFFFFFFFFFFFC0000 1FFFFFFFFFFFFE00000FFFFFFFFFFFFF000003FFFFFFFFFFFF000001FFFFFFFFFFFF8000 007FFFFFFFFFFFC000000FFFFFFFFFFFE0000001FFFFFFFFFFE00000000FFFFFFFFFF000 000000FFFFFFFFF00000000007FFFFFFF800000000007FFFFFF8000000000003FFFFF800 0000000000FFFFFC0000000000003FFFFC0000000000001FFFFC00000000000007FFFE00 000000000003FFFE00000000000003FFFE7C000000000001FFFEFC000000000000FFFEFC 000000000000FFFEFC0000000000007FFEFC0000000000007FFEFC0000000000007FFEFC 0000000000003FFEFE0000000000003FFEFE0000000000003FFEFE0000000000003FFEFE 0000000000003FFCFF0000000000003FFCFF0000000000003FFCFF8000000000003FFCFF 8000000000003FF8FFC000000000007FF8FFE000000000007FF8FFE000000000007FF0FF F00000000000FFF0FFF80000000000FFE0FFFC0000000001FFE0FFFF0000000001FFC0FF FF8000000003FF80FFFFE000000007FF00FFFFF80000000FFE00FFFFFF0000003FFC00FF CFFFE00000FFF800FF83FFFF000FFFF000FF01FFFFFFFFFFE000FF007FFFFFFFFFC000FE 001FFFFFFFFF0000FC0003FFFFFFFC0000F800003FFFFFE00000F0000001FFFE00000047 6677E35A>I<1FFFFFFFFFFFFFFFFFFFFFFF001FFFFFFFFFFFFFFFFFFFFFFF001FFFFFFF FFFFFFFFFFFFFFFF001FFFFFFFFFFFFFFFFFFFFFFF001FFFFFFFFFFFFFFFFFFFFFFF001F FFFFFFFFFFFFFFFFFFFFFF003FFFFE0000FFFFE0000FFFFF803FFFE00000FFFFE00000FF FF803FFF000000FFFFE000001FFF803FFE000000FFFFE000000FFF803FF8000000FFFFE0 000003FF803FF0000000FFFFE0000001FF803FE0000000FFFFE0000000FF803FE0000000 FFFFE0000000FF803FC0000000FFFFE00000007F803FC0000000FFFFE00000007F803F80 000000FFFFE00000003F807F80000000FFFFE00000003FC07F00000000FFFFE00000001F C07F00000000FFFFE00000001FC07F00000000FFFFE00000001FC07F00000000FFFFE000 00001FC07E00000000FFFFE00000000FC07E00000000FFFFE00000000FC07E00000000FF FFE00000000FC07E00000000FFFFE00000000FC07E00000000FFFFE00000000FC07E0000 0000FFFFE00000000FC0FE00000000FFFFE00000000FE0FC00000000FFFFE000000007E0 FC00000000FFFFE000000007E0FC00000000FFFFE000000007E0FC00000000FFFFE00000 0007E0FC00000000FFFFE000000007E00000000000FFFFE000000000000000000000FFFF E000000000000000000000FFFFE000000000000000000000FFFFE0000000000000000000 00FFFFE000000000000000000000FFFFE000000000000000000000FFFFE0000000000000 00000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE0000000 00000000000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE0 00000000000000000000FFFFE000000000000000000000FFFFE000000000000000000000 FFFFE000000000000000000000FFFFE000000000000000000000FFFFE000000000000000 000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE000000000 000000000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE000 000000000000000000FFFFE000000000000000000000FFFFE000000000000000000000FF FFE000000000000000000000FFFFE000000000000000000000FFFFE00000000000000000 0000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE00000000000 0000000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE00000 0000000000000000FFFFE000000000000000000000FFFFE000000000000000000000FFFF E000000000000000000000FFFFE000000000000000000000FFFFE0000000000000000000 00FFFFE000000000000000000000FFFFE000000000000000000000FFFFE0000000000000 00000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE0000000 00000000000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE0 00000000000000000000FFFFE000000000000000000000FFFFE000000000000000000000 FFFFE000000000000000000000FFFFE000000000000000000000FFFFE000000000000000 000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE000000000 0000001FFFFFFFFFFFFFFF00000000001FFFFFFFFFFFFFFF00000000001FFFFFFFFFFFFF FF00000000001FFFFFFFFFFFFFFF00000000001FFFFFFFFFFFFFFF00000000001FFFFFFF FFFFFFFF00000063617AE070>I<000003FFFE000000000000007FFFFFF0000000000003 FFFFFFFE00000000000FFFFFFFFF80000000001FFFFFFFFFE0000000003FFE001FFFF000 0000007FE00007FFF800000000FFF80001FFFC00000001FFFC0000FFFE00000001FFFC00 007FFF00000003FFFE00003FFF80000003FFFE00003FFFC0000003FFFE00001FFFE00000 03FFFE00001FFFE0000003FFFE00000FFFF0000003FFFE00000FFFF0000003FFFE00000F FFF0000001FFFC000007FFF8000001FFFC000007FFF8000000FFF8000007FFF80000007F F0000007FFF80000001FC0000007FFF80000000000000007FFF80000000000000007FFF8 0000000000000007FFF80000000000000007FFF80000000000000007FFF8000000000000 0007FFF80000000000000007FFF8000000000001FFFFFFF800000000007FFFFFFFF80000 000007FFFFFFFFF8000000007FFFFFFFFFF800000001FFFFFF07FFF80000000FFFFFC007 FFF80000003FFFFE0007FFF80000007FFFF00007FFF8000001FFFFC00007FFF8000003FF FF000007FFF8000007FFFE000007FFF800000FFFF8000007FFF800001FFFF8000007FFF8 00001FFFF0000007FFF800003FFFE0000007FFF800007FFFE0000007FFF800007FFFC000 0007FFF800007FFFC0000007FFF80000FFFF80000007FFF80000FFFF80000007FFF80000 FFFF80000007FFF80000FFFF80000007FFF80000FFFF8000000FFFF80000FFFF8000000F FFF80000FFFF8000001FFFF80000FFFFC000001FFFF800007FFFC000003FFFF800007FFF E000003FFFF800003FFFE000007DFFFC00003FFFF00001F9FFFC00001FFFF80003F1FFFF 80000FFFFE000FE1FFFFFF0007FFFFC07FC0FFFFFF8001FFFFFFFF807FFFFF80007FFFFF FF003FFFFF80001FFFFFFC000FFFFF800003FFFFF00001FFFF0000001FFF000000000000 49437CC14E>97 D<0007FF80000000000000FFFFFF80000000000000FFFFFF8000000000 0000FFFFFF80000000000000FFFFFF80000000000000FFFFFF80000000000000FFFFFF80 00000000000000FFFF80000000000000007FFF80000000000000003FFF80000000000000 003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF800000 00000000003FFF80000000000000003FFF80000000000000003FFF80000000000000003F FF80000000000000003FFF80000000000000003FFF80000000000000003FFF8000000000 0000003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF80 000000000000003FFF80000000000000003FFF80000000000000003FFF80000000000000 003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF800000 00000000003FFF80000000000000003FFF80000000000000003FFF80000000000000003F FF8000FFF8000000003FFF800FFFFF800000003FFF807FFFFFF00000003FFF81FFFFFFFC 0000003FFF87FFFFFFFF0000003FFF8FFF00FFFFC000003FFFBFF0001FFFE000003FFFFF C00007FFF000003FFFFF000003FFF800003FFFFE000000FFFC00003FFFF8000000FFFE00 003FFFF00000007FFF00003FFFE00000003FFF80003FFFC00000003FFFC0003FFFC00000 001FFFC0003FFFC00000001FFFE0003FFFC00000001FFFE0003FFFC00000000FFFF0003F FFC00000000FFFF0003FFFC00000000FFFF8003FFFC00000000FFFF8003FFFC00000000F FFF8003FFFC000000007FFFC003FFFC000000007FFFC003FFFC000000007FFFC003FFFC0 00000007FFFC003FFFC000000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE 003FFFC000000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC00000 0007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003F FFC000000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC000000007 FFFE003FFFC000000007FFFC003FFFC000000007FFFC003FFFC000000007FFFC003FFFC0 00000007FFFC003FFFC00000000FFFF8003FFFC00000000FFFF8003FFFC00000000FFFF8 003FFFC00000000FFFF0003FFFC00000000FFFF0003FFFC00000001FFFE0003FFFC00000 001FFFE0003FFFC00000003FFFC0003FFFE00000003FFF80003FFFE00000007FFF00003F FFF00000007FFF00003FFFF8000000FFFE00003FFFFC000001FFFC00003FFEFF000007FF F800003FFC7F80000FFFF000003FF83FE0003FFFC000003FF00FFC03FFFF8000003FE007 FFFFFFFE0000003FC001FFFFFFF80000003F8000FFFFFFE00000003F00001FFFFF000000 0000000003FFE00000004F657BE35A>I<0000000FFFF00000000001FFFFFF800000000F FFFFFFF00000003FFFFFFFFC000000FFFFFFFFFE000003FFFE001FFF000007FFF80001FF 80000FFFE00007FFC0001FFF80000FFFE0007FFF00000FFFE000FFFE00001FFFF000FFFE 00001FFFF001FFFC00001FFFF003FFF800001FFFF007FFF800001FFFF007FFF000001FFF F00FFFF000001FFFF00FFFF000000FFFE01FFFE000000FFFE01FFFE0000007FFC03FFFE0 000003FF803FFFE0000000FE003FFFE000000000007FFFC000000000007FFFC000000000 007FFFC000000000007FFFC00000000000FFFFC00000000000FFFFC00000000000FFFFC0 0000000000FFFFC00000000000FFFFC00000000000FFFFC00000000000FFFFC000000000 00FFFFC00000000000FFFFC00000000000FFFFC00000000000FFFFC00000000000FFFFC0 0000000000FFFFC00000000000FFFFC000000000007FFFC000000000007FFFC000000000 007FFFE000000000007FFFE000000000003FFFE000000000003FFFE000000000003FFFF0 00000000001FFFF000000000FC1FFFF000000000FC0FFFF800000001FC0FFFF800000001 F807FFF800000001F803FFFC00000003F803FFFE00000007F001FFFE00000007E000FFFF 0000000FE0007FFF8000001FC0003FFFE000007F80001FFFF00000FF000007FFFC0003FE 000003FFFFC03FFC000000FFFFFFFFF00000003FFFFFFFE00000000FFFFFFF8000000001 FFFFFC00000000000FFFC000003E437BC148>I<000000000000007FF80000000000000F FFFFF80000000000000FFFFFF80000000000000FFFFFF80000000000000FFFFFF8000000 0000000FFFFFF80000000000000FFFFFF8000000000000000FFFF80000000000000007FF F80000000000000003FFF80000000000000003FFF80000000000000003FFF80000000000 000003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF800 00000000000003FFF80000000000000003FFF80000000000000003FFF800000000000000 03FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF8000000 0000000003FFF80000000000000003FFF80000000000000003FFF80000000000000003FF F80000000000000003FFF80000000000000003FFF80000000000000003FFF80000000000 000003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF800 00000000000003FFF8000000000FFF8003FFF800000001FFFFF803FFF80000000FFFFFFE 03FFF80000003FFFFFFF83FFF8000000FFFFFFFFE3FFF8000003FFFF807FF3FFF8000007 FFF8000FFBFFF800001FFFE00003FFFFF800003FFFC00000FFFFF800007FFF0000007FFF F80000FFFE0000003FFFF80001FFFC0000001FFFF80003FFFC0000000FFFF80003FFF800 000007FFF80007FFF800000007FFF8000FFFF000000007FFF8000FFFF000000007FFF800 1FFFE000000007FFF8001FFFE000000007FFF8003FFFE000000007FFF8003FFFE0000000 07FFF8003FFFE000000007FFF8007FFFC000000007FFF8007FFFC000000007FFF8007FFF C000000007FFF8007FFFC000000007FFF800FFFFC000000007FFF800FFFFC000000007FF F800FFFFC000000007FFF800FFFFC000000007FFF800FFFFC000000007FFF800FFFFC000 000007FFF800FFFFC000000007FFF800FFFFC000000007FFF800FFFFC000000007FFF800 FFFFC000000007FFF800FFFFC000000007FFF800FFFFC000000007FFF800FFFFC0000000 07FFF800FFFFC000000007FFF8007FFFC000000007FFF8007FFFC000000007FFF8007FFF C000000007FFF8007FFFC000000007FFF8003FFFE000000007FFF8003FFFE000000007FF F8003FFFE000000007FFF8001FFFE000000007FFF8001FFFE000000007FFF8000FFFF000 000007FFF8000FFFF000000007FFF80007FFF00000000FFFF80007FFF80000000FFFF800 03FFF80000001FFFF80001FFFC0000003FFFF80000FFFE0000007FFFF800007FFE000000 FFFFF800003FFF800003FFFFFC00001FFFC00007FFFFFE00000FFFF0001FF7FFFFFE0007 FFFE01FFE7FFFFFE0001FFFFFFFF87FFFFFE00007FFFFFFE07FFFFFE00001FFFFFF807FF FFFE000003FFFFE007FFFFFE0000003FFE0007FFC0004F657BE35A>I<0000000FFFC000 0000000001FFFFFC00000000000FFFFFFF80000000003FFFFFFFE000000000FFFFFFFFF8 00000003FFFE03FFFC00000007FFF0007FFF0000001FFFC0001FFF8000003FFF80000FFF C000007FFF000007FFE00000FFFE000003FFF00001FFFC000001FFF00003FFFC000001FF F80003FFF8000000FFF80007FFF8000000FFFC000FFFF0000000FFFC000FFFF00000007F FE001FFFF00000007FFE001FFFE00000007FFE003FFFE00000003FFF003FFFE00000003F FF003FFFE00000003FFF007FFFE00000003FFF007FFFC00000003FFF007FFFC00000001F FF807FFFC00000001FFF80FFFFC00000001FFF80FFFFC00000001FFF80FFFFC00000001F FF80FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFF FF80FFFFFFFFFFFFFFFF00FFFFC0000000000000FFFFC0000000000000FFFFC000000000 0000FFFFC0000000000000FFFFC0000000000000FFFFC00000000000007FFFC000000000 00007FFFC00000000000007FFFC00000000000007FFFE00000000000007FFFE000000000 00003FFFE00000000000003FFFE00000000000001FFFE00000000000001FFFF000000000 0F001FFFF0000000001F800FFFF0000000003F8007FFF8000000003F8007FFF800000000 7F0003FFFC000000007F0001FFFE00000000FE0000FFFE00000001FE00007FFF00000003 FC00003FFF80000007F800001FFFE000000FF000000FFFF000003FE0000003FFFC0001FF C0000001FFFFC01FFF000000007FFFFFFFFE000000001FFFFFFFF80000000007FFFFFFE0 0000000000FFFFFF00000000000007FFF000000041437CC14A>I<000000003FFC000000 0007FFFF800000003FFFFFC0000001FFFFFFF0000007FFFFFFF800000FFFF03FFC00001F FF807FFC00007FFE00FFFE0000FFFC00FFFE0000FFF801FFFF0001FFF001FFFF0003FFF0 01FFFF0007FFE001FFFF0007FFE001FFFF000FFFC001FFFF000FFFC001FFFF000FFFC000 FFFE001FFF80007FFC001FFF80003FF8001FFF80001FF0001FFF800007C0001FFF800000 00001FFF80000000001FFF80000000001FFF80000000001FFF80000000001FFF80000000 001FFF80000000001FFF80000000001FFF80000000001FFF80000000001FFF8000000000 1FFF80000000001FFF80000000001FFF80000000001FFF80000000001FFF80000000FFFF FFFFFFC000FFFFFFFFFFC000FFFFFFFFFFC000FFFFFFFFFFC000FFFFFFFFFFC000FFFFFF FFFFC000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0 000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC000 0000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC00000 00001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000 001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC000000000 1FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001F FFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFF C0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0 000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC000 0000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC00000 00001FFFC00000007FFFFFFFFC00007FFFFFFFFC00007FFFFFFFFC00007FFFFFFFFC0000 7FFFFFFFFC00007FFFFFFFFC000038657CE431>I<0000000000000007F8000000007FFE 00003FFE0000000FFFFFF001FFFF0000007FFFFFFE03FFFF800001FFFFFFFF8FFFFF8000 03FFFFFFFFDFFDFFC0000FFFF00FFFFFC1FFC0001FFF8001FFFF01FFC0003FFF0000FFFC 03FFC0007FFE00007FFE01FFC000FFFC00003FFF01FFC001FFF800001FFF81FF8001FFF8 00001FFF80FF0003FFF800001FFFC03E0003FFF800001FFFC0000007FFF000000FFFE000 0007FFF000000FFFE0000007FFF000000FFFE000000FFFF000000FFFF000000FFFF00000 0FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000F FFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFF F0000007FFF000000FFFE0000007FFF000000FFFE0000007FFF000000FFFE0000003FFF8 00001FFFC0000003FFF800001FFFC0000001FFF800001FFF80000001FFF800001FFF8000 0000FFFC00003FFF000000007FFE00007FFE000000003FFF0000FFFC000000001FFF8001 FFF8000000001FFFF00FFFF0000000003FFFFFFFFFC0000000003FFFFFFFFF8000000000 7C7FFFFFFE0000000000FC0FFFFFF00000000000FC007FFE000000000000FC0000000000 00000001FC000000000000000001FC000000000000000001FC000000000000000001FC00 0000000000000001FE000000000000000001FE000000000000000001FF00000000000000 0001FF800000000000000001FFF00000000000000001FFFFFFFFFF8000000001FFFFFFFF FFFE00000000FFFFFFFFFFFFC0000000FFFFFFFFFFFFF00000007FFFFFFFFFFFFC000000 7FFFFFFFFFFFFF0000003FFFFFFFFFFFFF8000001FFFFFFFFFFFFFC000000FFFFFFFFFFF FFE0000007FFFFFFFFFFFFF000003FFFFFFFFFFFFFF80000FFFFFFFFFFFFFFF80003FFFF FFFFFFFFFFFC0007FFE0000001FFFFFC000FFF000000000FFFFE001FFE0000000001FFFE 003FFC00000000007FFE007FF800000000003FFF007FF800000000001FFF00FFF8000000 00001FFF00FFF000000000001FFF00FFF000000000000FFF00FFF000000000000FFF00FF F000000000000FFF00FFF000000000000FFF00FFF000000000000FFF00FFF80000000000 1FFF007FF800000000001FFE007FFC00000000003FFE003FFC00000000003FFC003FFE00 000000007FFC001FFF0000000000FFF8000FFFC000000003FFF00007FFE000000007FFE0 0003FFF80000001FFFC00000FFFF000000FFFF0000007FFFF8001FFFFE0000001FFFFFFF FFFFF800000007FFFFFFFFFFE000000000FFFFFFFFFF00000000000FFFFFFFF000000000 00003FFFFC000000004A607CC151>I<0007FF8000000000000000FFFFFF800000000000 0000FFFFFF8000000000000000FFFFFF8000000000000000FFFFFF8000000000000000FF FFFF8000000000000000FFFFFF800000000000000000FFFF8000000000000000007FFF80 00000000000000003FFF8000000000000000003FFF8000000000000000003FFF80000000 00000000003FFF8000000000000000003FFF8000000000000000003FFF80000000000000 00003FFF8000000000000000003FFF8000000000000000003FFF8000000000000000003F FF8000000000000000003FFF8000000000000000003FFF8000000000000000003FFF8000 000000000000003FFF8000000000000000003FFF8000000000000000003FFF8000000000 000000003FFF8000000000000000003FFF8000000000000000003FFF8000000000000000 003FFF8000000000000000003FFF8000000000000000003FFF8000000000000000003FFF 8000000000000000003FFF8000000000000000003FFF8000000000000000003FFF800000 0000000000003FFF80001FFF00000000003FFF8000FFFFF0000000003FFF8007FFFFFC00 0000003FFF801FFFFFFF000000003FFF803FFFFFFF800000003FFF807FE07FFFC0000000 3FFF81FE001FFFE00000003FFF83F8000FFFF00000003FFF87F00007FFF00000003FFF8F C00007FFF80000003FFF8F800003FFF80000003FFF9F000003FFFC0000003FFFBE000003 FFFC0000003FFFBC000001FFFC0000003FFFFC000001FFFE0000003FFFF8000001FFFE00 00003FFFF8000001FFFE0000003FFFF0000001FFFE0000003FFFF0000001FFFE0000003F FFE0000001FFFE0000003FFFE0000001FFFE0000003FFFE0000001FFFE0000003FFFE000 0001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FF FE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000 003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFF C0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC00000 01FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE 0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE000000 3FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0 000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001 FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE00 00003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003F FFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC000 0001FFFE0000FFFFFFFFF007FFFFFFFF80FFFFFFFFF007FFFFFFFF80FFFFFFFFF007FFFF FFFF80FFFFFFFFF007FFFFFFFF80FFFFFFFFF007FFFFFFFF80FFFFFFFFF007FFFFFFFF80 51647BE35A>I<000FE00000003FF80000007FFC000001FFFF000001FFFF000003FFFF80 0003FFFF800007FFFFC00007FFFFC00007FFFFC00007FFFFC00007FFFFC00007FFFFC000 07FFFFC00003FFFF800003FFFF800001FFFF000001FFFF0000007FFC0000003FF8000000 0FE000000000000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 000000000000000007FF80007FFFFF80007FFFFF80007FFFFF80007FFFFF80007FFFFF80 007FFFFF800000FFFF8000007FFF8000003FFF8000003FFF8000003FFF8000003FFF8000 003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF800000 3FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003F FF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF 8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF80 00003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000 003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF800000 3FFF8000003FFF8000003FFF8000FFFFFFFFC0FFFFFFFFC0FFFFFFFFC0FFFFFFFFC0FFFF FFFFC0FFFFFFFFC022657BE42C>I<0007FF8000FFFFFF8000FFFFFF8000FFFFFF8000FF FFFF8000FFFFFF8000FFFFFF800000FFFF8000007FFF8000003FFF8000003FFF8000003F FF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF 8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF80 00003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000 003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF800000 3FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003F FF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF 8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF80 00003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000 003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF800000 3FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003F FF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF 8000003FFF8000003FFF8000003FFF8000FFFFFFFFE0FFFFFFFFE0FFFFFFFFE0FFFFFFFF E0FFFFFFFFE0FFFFFFFFE023647BE32C>108 D<0007FF80001FFF00000000FFF8000000 FFFFFF8000FFFFF0000007FFFF800000FFFFFF8007FFFFFC00003FFFFFE00000FFFFFF80 1FFFFFFF0000FFFFFFF80000FFFFFF803FFFFFFF8001FFFFFFFC0000FFFFFF807FE07FFF C003FF03FFFE0000FFFFFF81FE001FFFE00FF000FFFF000000FFFF83F8000FFFF01FC000 7FFF8000007FFF87F00007FFF03F80003FFF8000003FFF8FC00007FFF87E00003FFFC000 003FFF8F800003FFF87C00001FFFC000003FFF9F000003FFFCF800001FFFE000003FFFBE 000003FFFDF000001FFFE000003FFFBC000001FFFDE000000FFFE000003FFFFC000001FF FFE000000FFFF000003FFFF8000001FFFFC000000FFFF000003FFFF8000001FFFFC00000 0FFFF000003FFFF0000001FFFF8000000FFFF000003FFFF0000001FFFF8000000FFFF000 003FFFE0000001FFFF0000000FFFF000003FFFE0000001FFFF0000000FFFF000003FFFE0 000001FFFF0000000FFFF000003FFFE0000001FFFF0000000FFFF000003FFFC0000001FF FE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE000000 0FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000 003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0 000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FF FE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE000000 0FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000 003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0 000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FF FE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE000000 0FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000 003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0 000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FF FE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE000000 0FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000 003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0 000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000FFFFFFFFF007FFFF FFFF803FFFFFFFFCFFFFFFFFF007FFFFFFFF803FFFFFFFFCFFFFFFFFF007FFFFFFFF803F FFFFFFFCFFFFFFFFF007FFFFFFFF803FFFFFFFFCFFFFFFFFF007FFFFFFFF803FFFFFFFFC FFFFFFFFF007FFFFFFFF803FFFFFFFFC7E417BC087>I<0007FF80001FFF00000000FFFF FF8000FFFFF0000000FFFFFF8007FFFFFC000000FFFFFF801FFFFFFF000000FFFFFF803F FFFFFF800000FFFFFF807FE07FFFC00000FFFFFF81FE001FFFE0000000FFFF83F8000FFF F00000007FFF87F00007FFF00000003FFF8FC00007FFF80000003FFF8F800003FFF80000 003FFF9F000003FFFC0000003FFFBE000003FFFC0000003FFFBC000001FFFC0000003FFF FC000001FFFE0000003FFFF8000001FFFE0000003FFFF8000001FFFE0000003FFFF00000 01FFFE0000003FFFF0000001FFFE0000003FFFE0000001FFFE0000003FFFE0000001FFFE 0000003FFFE0000001FFFE0000003FFFE0000001FFFE0000003FFFC0000001FFFE000000 3FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0 000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001 FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE00 00003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003F FFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC000 0001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FF FE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000 003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFF C0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC00000 01FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE 0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000FFFFFFFFF007FFFFFFFF80FF FFFFFFF007FFFFFFFF80FFFFFFFFF007FFFFFFFF80FFFFFFFFF007FFFFFFFF80FFFFFFFF F007FFFFFFFF80FFFFFFFFF007FFFFFFFF8051417BC05A>I<00000007FFE00000000000 00FFFFFF000000000007FFFFFFE0000000001FFFFFFFF8000000007FFFFFFFFE00000001 FFFE007FFF80000007FFF0000FFFE000000FFFC00003FFF000001FFF800001FFF800003F FF000000FFFC00007FFE0000007FFE0000FFFC0000003FFF0001FFF80000001FFF8003FF F80000001FFFC003FFF00000000FFFC007FFF00000000FFFE00FFFE000000007FFF00FFF E000000007FFF01FFFE000000007FFF81FFFE000000007FFF81FFFE000000007FFF83FFF C000000003FFFC3FFFC000000003FFFC3FFFC000000003FFFC7FFFC000000003FFFE7FFF C000000003FFFE7FFFC000000003FFFE7FFFC000000003FFFEFFFFC000000003FFFFFFFF C000000003FFFFFFFFC000000003FFFFFFFFC000000003FFFFFFFFC000000003FFFFFFFF C000000003FFFFFFFFC000000003FFFFFFFFC000000003FFFFFFFFC000000003FFFFFFFF C000000003FFFFFFFFC000000003FFFFFFFFC000000003FFFFFFFFC000000003FFFF7FFF C000000003FFFE7FFFC000000003FFFE7FFFC000000003FFFE7FFFC000000003FFFE3FFF E000000007FFFC3FFFE000000007FFFC3FFFE000000007FFFC1FFFE000000007FFF81FFF E000000007FFF80FFFF00000000FFFF00FFFF00000000FFFF007FFF00000000FFFE003FF F80000001FFFC003FFF80000001FFFC001FFFC0000003FFF8000FFFE0000007FFF00007F FF000000FFFE00003FFF800001FFFC00001FFFC00003FFF8000007FFF0000FFFE0000003 FFFE007FFFC0000000FFFFFFFFFF000000003FFFFFFFFC0000000007FFFFFFE000000000 00FFFFFF00000000000007FFE000000048437CC151>I<0007FF8000FFF8000000FFFFFF 800FFFFF800000FFFFFF807FFFFFF00000FFFFFF81FFFFFFFC0000FFFFFF87FFFFFFFF00 00FFFFFF8FFF01FFFFC000FFFFFFBFF0003FFFE00000FFFFFFC0000FFFF000007FFFFF00 0007FFF800003FFFFE000003FFFC00003FFFF8000001FFFE00003FFFF0000000FFFF0000 3FFFE0000000FFFF80003FFFC00000007FFFC0003FFFC00000007FFFC0003FFFC0000000 3FFFE0003FFFC00000003FFFE0003FFFC00000001FFFF0003FFFC00000001FFFF0003FFF C00000001FFFF8003FFFC00000000FFFF8003FFFC00000000FFFF8003FFFC00000000FFF FC003FFFC00000000FFFFC003FFFC00000000FFFFC003FFFC000000007FFFC003FFFC000 000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE00 3FFFC000000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC0000000 07FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFF C000000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC00000000FFF FC003FFFC00000000FFFFC003FFFC00000000FFFFC003FFFC00000000FFFFC003FFFC000 00000FFFF8003FFFC00000001FFFF8003FFFC00000001FFFF8003FFFC00000001FFFF000 3FFFC00000003FFFF0003FFFC00000003FFFE0003FFFC00000007FFFE0003FFFC0000000 7FFFC0003FFFE0000000FFFF80003FFFE0000000FFFF00003FFFF0000001FFFF00003FFF F8000003FFFE00003FFFFC000007FFFC00003FFFFF00000FFFF800003FFFFF80001FFFF0 00003FFFFFE0007FFFC000003FFFCFFC03FFFF8000003FFFC7FFFFFFFE0000003FFFC1FF FFFFF80000003FFFC0FFFFFFE00000003FFFC01FFFFF000000003FFFC003FFE000000000 3FFFC0000000000000003FFFC0000000000000003FFFC0000000000000003FFFC0000000 000000003FFFC0000000000000003FFFC0000000000000003FFFC0000000000000003FFF C0000000000000003FFFC0000000000000003FFFC0000000000000003FFFC00000000000 00003FFFC0000000000000003FFFC0000000000000003FFFC0000000000000003FFFC000 0000000000003FFFC0000000000000003FFFC0000000000000003FFFC000000000000000 3FFFC0000000000000003FFFC0000000000000003FFFC0000000000000FFFFFFFFF00000 000000FFFFFFFFF00000000000FFFFFFFFF00000000000FFFFFFFFF00000000000FFFFFF FFF00000000000FFFFFFFFF000000000004F5D7BC05A>I<0000000FFF000001F0000000 01FFFFE00003F00000000FFFFFF80007F00000003FFFFFFE0007F0000000FFFFFFFF000F F0000003FFFF80FF801FF0000007FFFC001FC03FF000001FFFF0000FE03FF000003FFFE0 0003F07FF000007FFF800001F8FFF00000FFFF800000FCFFF00001FFFF000000FFFFF000 03FFFE0000007FFFF00003FFFE0000003FFFF00007FFFC0000003FFFF0000FFFF8000000 1FFFF0000FFFF80000001FFFF0001FFFF80000000FFFF0001FFFF00000000FFFF0003FFF F00000000FFFF0003FFFF000000007FFF0003FFFE000000007FFF0007FFFE000000007FF F0007FFFE000000007FFF0007FFFE000000007FFF0007FFFE000000007FFF000FFFFC000 000007FFF000FFFFC000000007FFF000FFFFC000000007FFF000FFFFC000000007FFF000 FFFFC000000007FFF000FFFFC000000007FFF000FFFFC000000007FFF000FFFFC0000000 07FFF000FFFFC000000007FFF000FFFFC000000007FFF000FFFFC000000007FFF000FFFF C000000007FFF000FFFFC000000007FFF000FFFFC000000007FFF0007FFFC000000007FF F0007FFFE000000007FFF0007FFFE000000007FFF0007FFFE000000007FFF0003FFFE000 000007FFF0003FFFE000000007FFF0003FFFF000000007FFF0001FFFF000000007FFF000 1FFFF000000007FFF0000FFFF80000000FFFF0000FFFF80000001FFFF00007FFFC000000 1FFFF00007FFFC0000003FFFF00003FFFE0000007FFFF00001FFFE0000007FFFF00000FF FF000000FFFFF000007FFF800001FFFFF000003FFFC00007FFFFF000001FFFE0000FEFFF F000000FFFF8003FCFFFF0000007FFFE01FF8FFFF0000001FFFFFFFF0FFFF00000007FFF FFFC0FFFF00000001FFFFFF00FFFF000000003FFFFC00FFFF0000000003FFE000FFFF000 0000000000000FFFF0000000000000000FFFF0000000000000000FFFF000000000000000 0FFFF0000000000000000FFFF0000000000000000FFFF0000000000000000FFFF0000000 000000000FFFF0000000000000000FFFF0000000000000000FFFF0000000000000000FFF F0000000000000000FFFF0000000000000000FFFF0000000000000000FFFF00000000000 00000FFFF0000000000000000FFFF0000000000000000FFFF0000000000000000FFFF000 0000000000000FFFF0000000000000000FFFF0000000000000000FFFF00000000000003F FFFFFFFC00000000003FFFFFFFFC00000000003FFFFFFFFC00000000003FFFFFFFFC0000 0000003FFFFFFFFC00000000003FFFFFFFFC4E5D7BC055>I<000FFF000FFC00FFFFFF00 3FFF80FFFFFF00FFFFE0FFFFFF01FFFFF0FFFFFF03FFFFF8FFFFFF07FC7FFCFFFFFF0FE0 FFFE00FFFF1F80FFFE007FFF3F01FFFF003FFF3E01FFFF003FFF7E01FFFF003FFF7C01FF FF003FFFF801FFFF003FFFF801FFFF003FFFF001FFFF003FFFF000FFFE003FFFF000FFFE 003FFFE0007FFC003FFFE0003FF8003FFFE0000FE0003FFFC0000000003FFFC000000000 3FFFC0000000003FFFC0000000003FFFC0000000003FFF80000000003FFF80000000003F FF80000000003FFF80000000003FFF80000000003FFF80000000003FFF80000000003FFF 80000000003FFF80000000003FFF80000000003FFF80000000003FFF80000000003FFF80 000000003FFF80000000003FFF80000000003FFF80000000003FFF80000000003FFF8000 0000003FFF80000000003FFF80000000003FFF80000000003FFF80000000003FFF800000 00003FFF80000000003FFF80000000003FFF80000000003FFF80000000003FFF80000000 003FFF80000000003FFF80000000003FFF80000000003FFF80000000003FFF8000000000 3FFF80000000FFFFFFFFF80000FFFFFFFFF80000FFFFFFFFF80000FFFFFFFFF80000FFFF FFFFF80000FFFFFFFFF8000038417BC042>I<00003FFF8007800007FFFFF81F80001FFF FFFE7F80007FFFFFFFFF8001FFFFFFFFFF8003FFE001FFFF8007FF00001FFF800FFC0000 07FF801FF0000003FF801FF0000000FF803FE0000000FF807FE00000007F807FC0000000 3F807FC00000003F80FFC00000003F80FFC00000001F80FFC00000001F80FFE00000001F 80FFF00000001F80FFF80000001F80FFFC0000000000FFFF0000000000FFFFE000000000 FFFFFF000000007FFFFFF80000007FFFFFFFC000003FFFFFFFFC00003FFFFFFFFF00001F FFFFFFFFC0000FFFFFFFFFF00007FFFFFFFFF80003FFFFFFFFFC0001FFFFFFFFFE0000FF FFFFFFFF00003FFFFFFFFF80000FFFFFFFFFC00003FFFFFFFFC000007FFFFFFFE0000003 FFFFFFF00000001FFFFFF000000000FFFFF0000000001FFFF80000000007FFF87C000000 01FFF8FC00000000FFF8FC000000007FF8FE000000003FF8FE000000003FF8FE00000000 1FF8FF000000001FF8FF000000001FF8FF800000001FF0FF800000001FF0FFC00000001F F0FFC00000003FF0FFE00000003FE0FFF00000007FE0FFF80000007FC0FFFE000000FF80 FFFF000003FF00FFFFC0000FFE00FFFFFC007FFC00FFDFFFFFFFF800FF0FFFFFFFF000FE 03FFFFFFC000F8007FFFFE0000F0000FFFE0000035437BC140>I<000007E00000000000 07E0000000000007E0000000000007E0000000000007E0000000000007E000000000000F E000000000000FE000000000000FE000000000000FE000000000000FE000000000001FE0 00000000001FE000000000001FE000000000003FE000000000003FE000000000007FE000 000000007FE00000000000FFE00000000001FFE00000000001FFE00000000003FFE00000 000007FFE0000000000FFFE0000000001FFFE0000000007FFFE000000001FFFFE0000000 0FFFFFFFFFFE00FFFFFFFFFFFE00FFFFFFFFFFFE00FFFFFFFFFFFE00FFFFFFFFFFFE00FF FFFFFFFFFE00001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001F FFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001FFF E0000000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0 000000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE000 0000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE00000 00001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000 001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000FC0001FFFE0000FC000 1FFFE0000FC0001FFFE0000FC0001FFFE0000FC0001FFFE0000FC0001FFFE0000FC0001F FFE0000FC0001FFFE0000FC0001FFFE0000FC0001FFFE0000FC0001FFFE0000FC0001FFF E0001FC0000FFFF0001F80000FFFF0001F80000FFFF0003F800007FFF0003F000007FFF8 007F000003FFFC007E000001FFFE00FC000000FFFF83FC0000007FFFFFF80000003FFFFF F00000000FFFFFC000000003FFFF80000000003FFC0000325C7DDA3F>I<0007FFC00000 003FFE0000FFFFFFC00007FFFFFE0000FFFFFFC00007FFFFFE0000FFFFFFC00007FFFFFE 0000FFFFFFC00007FFFFFE0000FFFFFFC00007FFFFFE0000FFFFFFC00007FFFFFE000000 FFFFC0000007FFFE0000007FFFC0000003FFFE0000003FFFC0000001FFFE0000003FFFC0 000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001 FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE00 00003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003F FFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC000 0001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FF FE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000 003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFF C0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC00000 01FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE 0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE000000 3FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0 000001FFFE0000003FFFC0000003FFFE0000003FFFC0000003FFFE0000003FFFC0000003 FFFE0000003FFFC0000007FFFE0000003FFFC0000007FFFE0000003FFFC000000FFFFE00 00001FFFC000000FFFFE0000001FFFC000001FFFFE0000001FFFC000003EFFFE0000000F FFE000007EFFFE0000000FFFE00000FCFFFF00000007FFF00001F8FFFF80000003FFF800 07F0FFFFFF800001FFFF003FE0FFFFFF800000FFFFFFFFC0FFFFFF8000007FFFFFFF00FF FFFF8000001FFFFFFE00FFFFFF80000003FFFFF800FFFFFF800000003FFF8000FFF00000 51427BC05A>III<7FFFFF FFC0007FFFFFF87FFFFFFFC0007FFFFFF87FFFFFFFC0007FFFFFF87FFFFFFFC0007FFFFF F87FFFFFFFC0007FFFFFF87FFFFFFFC0007FFFFFF8001FFFF8000007FFF000000FFFF800 0001FF00000007FFFC000001FE00000003FFFE000003FC00000001FFFF000007F8000000 01FFFF80000FF000000000FFFF80001FE0000000007FFFC0001FE0000000003FFFE0003F C0000000001FFFF0007F80000000001FFFF800FF00000000000FFFF801FE000000000007 FFFC03FC000000000003FFFE07F8000000000001FFFF07F8000000000001FFFF8FF00000 00000000FFFF9FE00000000000007FFFFFC00000000000003FFFFF800000000000001FFF FF000000000000001FFFFE000000000000000FFFFC0000000000000007FFFC0000000000 000003FFFE0000000000000001FFFF0000000000000001FFFF8000000000000000FFFF80 000000000000007FFFC0000000000000007FFFE000000000000000FFFFF0000000000000 01FFFFF800000000000003FFFFF800000000000007FFFFFC0000000000000FF3FFFE0000 000000001FE1FFFF0000000000001FC0FFFF8000000000003FC0FFFF8000000000007F80 7FFFC00000000000FF003FFFE00000000001FE001FFFF00000000003FC000FFFF8000000 0007F8000FFFF80000000007F00007FFFC000000000FF00003FFFE000000001FE00001FF FF000000003FC00000FFFF800000007F800000FFFF80000000FF0000007FFFC0000001FE 0000003FFFE0000001FC0000001FFFF0000007FC0000000FFFF800003FFF0000000FFFF8 00FFFFFFF00001FFFFFFFFFFFFFFF00001FFFFFFFFFFFFFFF00001FFFFFFFFFFFFFFF000 01FFFFFFFFFFFFFFF00001FFFFFFFFFFFFFFF00001FFFFFFFF50407EBF55>II<07FFFF FFFFFFFFE007FFFFFFFFFFFFF007FFFFFFFFFFFFF007FFFFFFFFFFFFF007FFFFFFFFFFFF F007FFFC0000FFFFE00FFFC00001FFFFC00FFF000001FFFFC00FFE000003FFFF800FFC00 0007FFFF000FF800000FFFFE000FF000000FFFFE000FF000001FFFFC000FE000003FFFF8 000FE000007FFFF0000FC000007FFFF0000FC00000FFFFE0000FC00001FFFFC0000FC000 03FFFFC0001FC00003FFFF80001F800007FFFF00001F80000FFFFE00001F80000FFFFE00 001F80001FFFFC00001F80003FFFF800000000007FFFF000000000007FFFF00000000000 FFFFE00000000001FFFFC00000000003FFFF800000000003FFFF800000000007FFFF0000 0000000FFFFE00000000001FFFFC00000000001FFFFC00000000003FFFF800000000007F FFF00003F00000FFFFE00003F00000FFFFE00003F00001FFFFC00003F00003FFFF800003 F00007FFFF000003F00007FFFF000007F0000FFFFE000007E0001FFFFC000007E0003FFF FC000007E0003FFFF8000007E0007FFFF000000FE000FFFFE000000FE000FFFFE000000F E001FFFFC000001FE003FFFF8000001FE007FFFF0000003FE007FFFF0000007FE00FFFFE 000000FFE01FFFFC000001FFE03FFFF8000007FFE03FFFF800001FFFC07FFFF00001FFFF C0FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFC07FFFFF FFFFFFFFC03C407CBF48>I E /Fy 38 122 df<0000000FFF0000000001FFFFC0000000 0FFFFFF00000007FFFFFF8000001FFF803FC000003FFC000FE00000FFF0003FE00001FFE 0007FF00003FFC000FFF00003FF8000FFF00007FF0000FFF00007FF0001FFF8000FFF000 0FFF0000FFE0000FFF0000FFE0000FFF0000FFE0000FFF0000FFE00007FE0000FFE00001 F80000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE0000000 0000FFE00000000000FFE00000000000FFE001FFFF80FFFFFFFFFFFF80FFFFFFFFFFFF80 FFFFFFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFFFF8000FFE00003FF8000FFE00003FF8000 FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FF E00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE0 0003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE000 03FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003 FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF 8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF80 00FFE00003FF807FFFFFC1FFFFFF7FFFFFC1FFFFFF7FFFFFC1FFFFFF7FFFFFC1FFFFFF7F FFFFC1FFFFFF38467EC53E>12 D<07C01FF03FF87FFCFFFEFFFEFFFEFFFEFFFEFFFEFFFE 7FFC3FF81FF007C00F0F788E1F>46 D<000003C000000007C00000001FC00000007FC000 0003FFC000003FFFC000FFFFFFC000FFFFFFC000FFFFFFC000FFFFFFC000FFC3FFC00000 03FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003 FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FF C0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0 000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC000 0003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC00000 03FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003 FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC000FFFFFFFFFCFFFFFF FFFCFFFFFFFFFCFFFFFFFFFCFFFFFFFFFC264177C038>49 D<0000FFE00000000FFFFE00 00003FFFFF800000FFFFFFE00003FFFFFFF80007FC03FFFE000FE0007FFF001F80003FFF 803F00000FFFC07F000007FFC07FC00007FFE07FF00003FFE0FFF00001FFF0FFF80001FF F0FFF80001FFF8FFF80000FFF8FFF80000FFF8FFF80000FFF8FFF80000FFF87FF00000FF F83FE00000FFF81FC00000FFF800000000FFF800000000FFF000000001FFF000000001FF F000000001FFE000000003FFE000000003FFC000000007FF800000000FFF000000000FFF 000000001FFC000000003FF8000000003FF0000000007FE000000000FFC000000001FF00 00000003FE0000000007FC000000000FF0000000001FE0000000003F80000000007F0000 780000FE0000780001FC0000780003F80000F80007E00000F0000FC00000F0001F800000 F0003F000000F0007C000001F000F8000003F001FFFFFFFFF003FFFFFFFFE007FFFFFFFF E00FFFFFFFFFE01FFFFFFFFFE03FFFFFFFFFE07FFFFFFFFFE0FFFFFFFFFFE0FFFFFFFFFF C0FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC02D417BC038>I<0000FFF000000007FFFF 0000001FFFFFC000007FFFFFF00000FF007FF80003F8003FFE0007E0001FFF0007E0000F FF000FF80007FF800FFE0007FF801FFE0007FFC01FFF0007FFC01FFF0007FFC01FFF0007 FFC01FFF0007FFC01FFF0007FFC01FFF0007FFC00FFE0007FFC007FC0007FF8003F8000F FF800000000FFF000000001FFF000000001FFE000000003FFC000000007FF800000000FF F000000001FFE00000000FFF80000007FFFE00000007FFF800000007FFFF00000007FFFF C000000000FFF0000000003FFC000000000FFE000000000FFF8000000007FF8000000003 FFC000000003FFE000000003FFE000000001FFF000000001FFF000000001FFF800000001 FFF800000001FFF80FC00001FFF83FF00001FFF87FF80001FFF87FF80001FFF8FFFC0001 FFF8FFFC0001FFF8FFFC0001FFF0FFFC0001FFF0FFFC0003FFF0FFFC0003FFE07FF80003 FFE07FF00007FFC07FE00007FFC03F80000FFF801FF0001FFF000FFE00FFFE0007FFFFFF F80001FFFFFFF000007FFFFFC000001FFFFE00000001FFE000002D427BC038>I<000000 003F0000000000003F0000000000007F000000000000FF000000000001FF000000000003 FF000000000003FF000000000007FF00000000000FFF00000000001FFF00000000003FFF 00000000003FFF00000000007FFF0000000000FFFF0000000001F7FF0000000003E7FF00 00000007E7FF0000000007C7FF000000000F87FF000000001F07FF000000003E07FF0000 00007E07FF000000007C07FF00000000F807FF00000001F007FF00000003E007FF000000 07E007FF00000007C007FF0000000F8007FF0000001F0007FF0000003E0007FF0000007C 0007FF0000007C0007FF000000F80007FF000001F00007FF000003E00007FF000007C000 07FF00000FC00007FF00000F800007FF00001F000007FF00003E000007FF00007C000007 FF0000FC000007FF0000FFFFFFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFF FF80FFFFFFFFFFFF800000000FFF00000000000FFF00000000000FFF00000000000FFF00 000000000FFF00000000000FFF00000000000FFF00000000000FFF00000000000FFF0000 0000000FFF00000000000FFF00000000000FFF000000007FFFFFFF8000007FFFFFFF8000 007FFFFFFF8000007FFFFFFF8000007FFFFFFF8031417DC038>I<07000000030007E000 003F0007FF0007FF0007FFFFFFFF0007FFFFFFFE0007FFFFFFFC0007FFFFFFF80007FFFF FFF00007FFFFFFE00007FFFFFF800007FFFFFE000007FFFFFC000007FFFFE0000007FFFF 00000007C00000000007C00000000007C00000000007C00000000007C00000000007C000 00000007C00000000007C00000000007C00000000007C00000000007C03FF0000007C1FF FF000007C7FFFFC00007DFFFFFF00007FFE03FFC0007FF000FFE0007FC0007FF0007F000 03FF8007E00003FFC007C00001FFC003800001FFE000000001FFE000000000FFF0000000 00FFF000000000FFF000000000FFF800000000FFF800000000FFF800000000FFF80F8000 00FFF83FE00000FFF87FF00000FFF8FFF00000FFF8FFF80000FFF8FFF80000FFF8FFF800 00FFF8FFF80000FFF0FFF00000FFF0FFF00001FFF07FE00001FFE07FC00001FFE07E0000 03FFC03E000003FFC03F000007FF801FC0000FFF000FF0001FFE0007FE00FFFC0003FFFF FFF00000FFFFFFE000003FFFFF8000000FFFFC00000001FFC000002D427BC038>I<0000 7FF000000003FFFF0000000FFFFFC000003FFFFFF000007F801FFC0001FC0003FE0003F8 0001FF0003F00000FF0007E000007F8007E000003F800FC000003FC00FC000003FC01FC0 00001FC01FC000001FC01FE000001FC01FE000001FC01FF000001FC01FF800001FC01FFE 00003FC01FFF00003F801FFFC0007F801FFFF0007F000FFFFC00FF000FFFFE01FE0007FF FF83FC0007FFFFE7F80003FFFFFFE00001FFFFFFC00000FFFFFF0000007FFFFFC000003F FFFFE000000FFFFFF800000FFFFFFC00003FFFFFFE0000FFFFFFFF0001FF3FFFFF8007FC 0FFFFFC00FF803FFFFE01FF000FFFFE01FE0007FFFF03FE0001FFFF07FC00007FFF07F80 0003FFF87F800000FFF8FF8000007FF8FF0000003FF8FF0000001FF8FF0000000FF8FF00 00000FF8FF00000007F8FF00000007F8FF00000007F8FF80000007F07F80000007F07F80 00000FF07FC000000FE03FE000001FE03FF000003FC01FF800007F800FFE0001FF0007FF C00FFE0003FFFFFFFC0000FFFFFFF000003FFFFFC000000FFFFF00000000FFF000002D42 7BC038>56 D<07C01FF03FF87FFCFFFEFFFEFFFEFFFEFFFEFFFEFFFE7FFC3FF81FF007C0 0000000000000000000000000000000000000000000000000000000007C01FF03FF87FFC FFFEFFFEFFFEFFFEFFFEFFFEFFFE7FFC3FF81FF007C00F2C78AB1F>58 D<00000000FFF00000700000001FFFFF0000F0000001FFFFFFE001F0000007FFFFFFF803 F000003FFFFFFFFE07F00000FFFFE001FF0FF00001FFFE00003F9FF00007FFF000000FFF F0000FFFC0000007FFF0001FFF00000003FFF0003FFE00000001FFF0007FFC00000000FF F000FFF8000000007FF001FFF0000000003FF003FFE0000000001FF007FFE0000000001F F007FFC0000000000FF00FFF80000000000FF00FFF800000000007F01FFF000000000007 F01FFF000000000003F03FFF000000000003F03FFE000000000003F03FFE000000000003 F07FFE000000000001F07FFE000000000001F07FFE000000000001F07FFC000000000000 00FFFC00000000000000FFFC00000000000000FFFC00000000000000FFFC000000000000 00FFFC00000000000000FFFC00000000000000FFFC00000000000000FFFC000000000000 00FFFC00000000000000FFFC00000000000000FFFC00000000000000FFFC000000000000 00FFFC00000000000000FFFC000000000000007FFC000000000000007FFE000000000000 007FFE000000000000F07FFE000000000000F03FFE000000000000F03FFE000000000000 F03FFF000000000000F01FFF000000000001F01FFF000000000001E00FFF800000000001 E00FFF800000000003E007FFC00000000003C007FFE00000000007C003FFE00000000007 C001FFF0000000000F8000FFF8000000001F00007FFC000000003F00003FFE000000007E 00001FFF80000000FC00000FFFC0000001F8000007FFF0000007F0000001FFFE00001FE0 000000FFFFF001FF800000003FFFFFFFFF0000000007FFFFFFFC0000000001FFFFFFF000 000000001FFFFF80000000000000FFF800000044467AC451>67 DI I72 D75 DII80 D82 D<3FFFFFFFFFFFFFFFE03FFFFFFFFFFFFFFFE03FFFFFFFFFFFFFFFE03FFFFFFFFFFFFFFF E03FFFFFFFFFFFFFFFE03FFE000FFF8003FFE07FE0000FFF80003FF07FC0000FFF80001F F07F00000FFF800007F07F00000FFF800007F07E00000FFF800003F07C00000FFF800001 F07C00000FFF800001F07C00000FFF800001F07800000FFF800000F07800000FFF800000 F07800000FFF800000F07800000FFF800000F0F800000FFF800000F8F000000FFF800000 78F000000FFF80000078F000000FFF80000078F000000FFF80000078F000000FFF800000 780000000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000 000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000 000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000 000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000 000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000 000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000 000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000 000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000 000000000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000 000000000FFF800000000000000FFF800000000007FFFFFFFFFF00000007FFFFFFFFFF00 000007FFFFFFFFFF00000007FFFFFFFFFF00000007FFFFFFFFFF000045437CC24E>84 DI<0001FFE0000000001FFFFE000000007FFFFF80000001 FFFFFFE0000003FE007FF8000007FC001FFC000007FE000FFE00000FFF0007FF00000FFF 0007FF00000FFF0003FF80000FFF0003FF80000FFF0003FF80000FFF0001FFC00007FE00 01FFC00003FC0001FFC00000F00001FFC00000000001FFC00000000001FFC00000000001 FFC00000000001FFC000000003FFFFC0000000FFFFFFC0000007FFFFFFC000003FFFF1FF C00000FFFC01FFC00003FFE001FFC0000FFF8001FFC0001FFE0001FFC0003FFC0001FFC0 003FF80001FFC0007FF80001FFC0007FF00001FFC000FFF00001FFC000FFE00001FFC000 FFE00001FFC000FFE00001FFC000FFE00003FFC000FFE00003FFC000FFF00007FFC0007F F8000FFFC0007FF8001FFFF0003FFE003EFFFFC01FFF80FC7FFFC007FFFFF87FFFC003FF FFE01FFFC0007FFF8007FFC0000FFC00000000322F7DAD36>97 D<00003FFC00000001FF FFC000000FFFFFF000003FFFFFFC00007FF003FE0000FFC001FF0003FF8003FF0007FF00 07FF8007FE0007FF800FFE0007FF801FFC0007FF801FFC0007FF803FF80007FF803FF800 03FF007FF80001FE007FF8000078007FF0000000007FF000000000FFF000000000FFF000 000000FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF000 000000FFF000000000FFF000000000FFF000000000FFF0000000007FF8000000007FF800 0000007FF8000000003FF8000000003FFC000003C03FFC000003C01FFE000007C00FFE00 0007800FFF00000F8007FF80001F0003FFC0003E0001FFF0007C00007FFC03F800003FFF FFF000000FFFFFC0000003FFFF000000003FF800002A2F7CAD32>99 D<0000000003FE0000000007FFFE0000000007FFFE0000000007FFFE0000000007FFFE00 00000007FFFE00000000001FFE00000000000FFE00000000000FFE00000000000FFE0000 0000000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE000000 00000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE00000000 000FFE00000000000FFE00000000000FFE00000000000FFE0000003FE00FFE000003FFFC 0FFE00000FFFFF8FFE00003FFFFFCFFE0000FFF807FFFE0001FFC001FFFE0003FF80007F FE0007FF00003FFE000FFE00001FFE000FFC00000FFE001FFC00000FFE003FF800000FFE 003FF800000FFE003FF800000FFE007FF800000FFE007FF000000FFE007FF000000FFE00 FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FF F000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF0 00000FFE00FFF000000FFE007FF000000FFE007FF000000FFE007FF000000FFE007FF800 000FFE003FF800000FFE003FF800000FFE001FFC00001FFE001FFC00001FFE000FFE0000 3FFE0007FE00007FFE0003FF0000FFFF0001FFC003FFFFFC00FFF01FEFFFFC007FFFFF8F FFFC001FFFFE0FFFFC0007FFF80FFFFC00007FC00FF80036467CC43E>I<00003FF80000 0003FFFF8000000FFFFFE000003FFFFFF000007FF83FF80000FFC007FC0001FF8003FE00 03FF0001FF0007FE0000FF800FFC0000FF801FFC00007FC01FF800007FC03FF800003FE0 3FF800003FE07FF800003FE07FF000003FE07FF000003FF07FF000001FF0FFF000001FF0 FFF000001FF0FFFFFFFFFFF0FFFFFFFFFFF0FFFFFFFFFFF0FFFFFFFFFFF0FFF000000000 FFF000000000FFF000000000FFF000000000FFF0000000007FF0000000007FF000000000 7FF8000000007FF8000000003FF8000000003FF8000000F01FFC000000F01FFC000001F0 0FFE000001E007FF000003E003FF800007C001FFC0000F8000FFF0003F00007FFE01FE00 001FFFFFFC000007FFFFF0000001FFFFC00000001FFE00002C2F7DAD33>I<007FC00000 0000FFFFC000000000FFFFC000000000FFFFC000000000FFFFC000000000FFFFC0000000 0003FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC000000000 01FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001 FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FF C00000000001FFC00000000001FFC00000000001FFC007FE000001FFC03FFF800001FFC0 FFFFE00001FFC1FFFFF80001FFC7F03FFC0001FFCF801FFC0001FFDF000FFE0001FFDE00 0FFE0001FFFC000FFE0001FFF80007FF0001FFF00007FF0001FFF00007FF0001FFE00007 FF0001FFE00007FF0001FFE00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF 0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF00 01FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001 FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FF C00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC0 0007FF0001FFC00007FF00FFFFFF83FFFFFEFFFFFF83FFFFFEFFFFFF83FFFFFEFFFFFF83 FFFFFEFFFFFF83FFFFFE37457CC43E>104 D<007C0001FF0003FF8007FFC007FFC00FFF E00FFFE00FFFE00FFFE00FFFE007FFC007FFC003FF8001FF00007C000000000000000000 00000000000000000000000000000000000000000000007FC07FFFC07FFFC07FFFC07FFF C07FFFC003FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FF C001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FF C001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC0FFFF FFFFFFFFFFFFFFFFFFFFFFFFFF18467CC520>I<007FC000FFFFC000FFFFC000FFFFC000 FFFFC000FFFFC00003FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000 01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000 01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000 01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000 01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000 01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000 01FFC00001FFC00001FFC00001FFC00001FFC00001FFC000FFFFFF80FFFFFF80FFFFFF80 FFFFFF80FFFFFF8019457CC420>108 D<007F8007FE00000FFC0000FFFF803FFFC0007F FF8000FFFF80FFFFF001FFFFE000FFFF81FFFFF803FFFFF000FFFF87F01FFC0FE03FF800 FFFF8FC00FFE1F801FFC0003FF9F000FFF3E001FFE0001FF9E0007FF3C000FFE0001FFBC 0007FF78000FFE0001FFF80003FFF00007FF0001FFF80003FFF00007FF0001FFF00003FF E00007FF0001FFE00003FFC00007FF0001FFE00003FFC00007FF0001FFE00003FFC00007 FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001 FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC000 03FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF80 0007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF 0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FF C00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003 FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF8000 07FF0001FFC00003FF800007FF0001FFC00003FF800007FF00FFFFFF81FFFFFF03FFFFFE FFFFFF81FFFFFF03FFFFFEFFFFFF81FFFFFF03FFFFFEFFFFFF81FFFFFF03FFFFFEFFFFFF 81FFFFFF03FFFFFE572D7CAC5E>I<007F8007FE0000FFFF803FFF8000FFFF80FFFFE000 FFFF81FFFFF800FFFF87F03FFC00FFFF8F801FFC0003FF9F000FFE0001FF9E000FFE0001 FFBC000FFE0001FFF80007FF0001FFF00007FF0001FFF00007FF0001FFE00007FF0001FF E00007FF0001FFE00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC0 0007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC000 07FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007 FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF 0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF00 01FFC00007FF00FFFFFF83FFFFFEFFFFFF83FFFFFEFFFFFF83FFFFFEFFFFFF83FFFFFEFF FFFF83FFFFFE372D7CAC3E>I<00001FFC0000000001FFFFC000000007FFFFF00000001F FFFFFC0000007FF80FFF000000FFC001FF800001FF8000FFC00003FE00003FE00007FE00 003FF0000FFC00001FF8000FF800000FF8001FF800000FFC001FF800000FFC003FF80000 0FFE003FF0000007FE007FF0000007FF007FF0000007FF007FF0000007FF007FF0000007 FF00FFF0000007FF80FFF0000007FF80FFF0000007FF80FFF0000007FF80FFF0000007FF 80FFF0000007FF80FFF0000007FF80FFF0000007FF80FFF0000007FF80FFF0000007FF80 7FF0000007FF007FF0000007FF007FF0000007FF007FF0000007FF003FF800000FFE003F F800000FFE001FF800000FFC001FFC00001FFC000FFC00001FF80007FE00003FF00007FE 00003FF00003FF8000FFE00001FFC001FFC000007FF80FFF0000003FFFFFFE0000000FFF FFF800000001FFFFC0000000001FFC000000312F7DAD38>I<007FC00FF80000FFFFC0FF FF8000FFFFC3FFFFE000FFFFCFFFFFF800FFFFDFC03FFC00FFFFFF001FFE0003FFFC0007 FF0001FFF80003FF8001FFF00003FFC001FFE00001FFE001FFC00001FFE001FFC00000FF F001FFC00000FFF001FFC000007FF801FFC000007FF801FFC000007FF801FFC000007FF8 01FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC01 FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC01FF C000003FFC01FFC000003FFC01FFC000007FF801FFC000007FF801FFC000007FF801FFC0 00007FF001FFC00000FFF001FFC00000FFF001FFC00001FFE001FFE00001FFC001FFF000 03FFC001FFF80007FF8001FFFC000FFF0001FFFE001FFE0001FFDFC07FFC0001FFCFFFFF F00001FFC3FFFFC00001FFC0FFFF000001FFC01FF0000001FFC00000000001FFC0000000 0001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC000000000 01FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001 FFC000000000FFFFFF80000000FFFFFF80000000FFFFFF80000000FFFFFF80000000FFFF FF8000000036407DAC3E>I<00003FE0001E000003FFFC003E00000FFFFF007E00003FFF FF807E0000FFF80FE0FE0001FFE003F1FE0003FFC001F1FE0007FF8000FBFE000FFF0000 7FFE000FFE00003FFE001FFE00001FFE003FFC00001FFE003FFC00000FFE003FF800000F FE007FF800000FFE007FF800000FFE007FF800000FFE00FFF000000FFE00FFF000000FFE 00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00 FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE007F F800000FFE007FF800000FFE007FF800000FFE007FF800000FFE003FFC00000FFE003FFC 00000FFE001FFE00001FFE001FFE00003FFE000FFF00007FFE0007FF0000FFFE0003FF80 01FFFE0001FFE003EFFE0000FFF01FCFFE00007FFFFF8FFE00001FFFFE0FFE000003FFF8 0FFE0000007FC00FFE00000000000FFE00000000000FFE00000000000FFE00000000000F FE00000000000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE 00000000000FFE00000000000FFE00000000000FFE00000000000FFE0000000007FFFFFC 00000007FFFFFC00000007FFFFFC00000007FFFFFC00000007FFFFFC36407CAC3B>I<00 7F807F00FFFF81FFE0FFFF83FFF0FFFF8FFFF8FFFF8F8FFCFFFF9F1FFE03FFBE1FFE01FF BC1FFE01FFF81FFE01FFF81FFE01FFF01FFE01FFF00FFC01FFE007F801FFE001E001FFE0 000001FFE0000001FFE0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC000 0001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC00000 01FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001 FFC0000001FFC0000001FFC0000001FFC00000FFFFFFE000FFFFFFE000FFFFFFE000FFFF FFE000FFFFFFE000272D7DAC2E>I<001FFC038000FFFF878003FFFFFF800FFFFFFF801F F003FF803FC000FF803F80003F807F00001F807E00001F80FE00000F80FE00000F80FE00 000780FF00000780FF00000780FF80000780FFE0000000FFFE0000007FFFF000007FFFFF 00003FFFFFC0003FFFFFF0001FFFFFFC000FFFFFFE0003FFFFFF0001FFFFFF80007FFFFF 80000FFFFFC000003FFFC0000003FFE0000000FFE0F000003FE0F000003FE0F800001FE0 F800000FE0F800000FE0FC00000FE0FC00000FE0FE00000FC0FF00001FC0FF00001FC0FF 80003F80FFE0007F00FFF803FE00FFFFFFFC00FCFFFFF800F03FFFE000E007FE0000232F 7CAD2C>I<0001E000000001E000000001E000000001E000000001E000000003E0000000 03E000000003E000000003E000000007E000000007E00000000FE00000000FE00000001F E00000001FE00000003FE00000007FE0000000FFE0000003FFE000000FFFFFFF80FFFFFF FF80FFFFFFFF80FFFFFFFF80FFFFFFFF8000FFE0000000FFE0000000FFE0000000FFE000 0000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE00000 00FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000 FFE0000000FFE0000000FFE0000000FFE001E000FFE001E000FFE001E000FFE001E000FF E001E000FFE001E000FFE001E000FFE001E000FFE001E000FFE003E000FFF003C0007FF0 03C0007FF007C0003FF80F80001FFC1F00000FFFFF000007FFFC000001FFF80000003FE0 0023407EBE2C>I<007FC00001FF00FFFFC003FFFF00FFFFC003FFFF00FFFFC003FFFF00 FFFFC003FFFF00FFFFC003FFFF0003FFC0000FFF0001FFC00007FF0001FFC00007FF0001 FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FF C00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC0 0007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC000 07FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007 FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC0000FFF0001FFC0000FFF 0001FFC0001FFF0001FFC0001FFF0001FFC0003FFF0000FFC0003FFF0000FFE0007FFF80 007FE001F7FFFE007FF807E7FFFE003FFFFFC7FFFE000FFFFF07FFFE0003FFFE07FFFE00 007FF007FC00372E7CAC3E>I119 D121 D E /Fz 32 121 df<1E007F80FF80FFC0FFC0FFE0FFE0FFE07FE01E60006000600060006000 E000C000C000C001C001800380030007000E001C001800380030000B1C798919>44 DI<1E007F807F80FFC0FFC0 FFC0FFC07F807F801E000A0A798919>I<0003FC0000001FFF8000007C07E00000F001F8 0001E0007C0003C0003E000780001F000F00001F000F00000F801E00000F801E00000FC0 3E000007C03E000007C03E000007C03E000007C03F000007C03F000007C03F80000F803F C0000F801FE0001F801FF0001F001FFC003E000FFE007C000FFF80780007FFC0F00003FF F3E00001FFFF800000FFFF0000003FFF0000001FFFC000000FFFE000003FFFF8000078FF FC0001F07FFE0003E01FFF0007C00FFF800F8003FFC01F0001FFC03F00007FE03E00003F E07E00001FE07C00000FF07C000007F0F8000003F0F8000003F0F8000003F0F8000001F0 F8000001F0F8000001F0F8000001F0FC000001E07C000003E07C000003E07E000003C03F 000007C01F00000F801F80001F000FC0003E0007F0007C0001FC03F80000FFFFE000001F FF80000003FC0000243F7CBC2D>56 D66 D<0007FC000C001FFF801C 007FFFF03C01FC03F83C03F0007E7C07C0001FFC0F80000FFC1F800007FC3F000003FC3E 000001FC7E000000FC7E000000FC7C0000007CFC0000007CFC0000007CFC0000003CFC00 00003CFC0000003CFE0000001CFE0000001CFF0000001CFF0000001C7F800000007FC000 00007FE00000003FF80000003FFF8000001FFFF800000FFFFF800007FFFFF00003FFFFFC 0001FFFFFF0000FFFFFFC0003FFFFFE00007FFFFF000007FFFF0000007FFF80000007FFC 0000000FFC00000007FE00000003FE00000001FE00000000FF00000000FFE00000007FE0 0000007FE00000007FE00000003FE00000003FF00000003FF00000003FF00000003FF000 00003EF80000003EF80000007EFC0000007CFE000000FCFF000000F8FF800001F8FFC000 03F0FFE00007E0F9FC000FC0F07F803F80F01FFFFE00E007FFF800C0007FC00028427BBF 33>83 D<3FFFFFFFFFFFFF803FFFFFFFFFFFFF803FFFFFFFFFFFFF803FF0007FE001FF80 3F80003FC0003F807F00003FC0001FC07E00003FC00007C07C00003FC00007C07800003F C00003C07800003FC00003C07800003FC00003C07000003FC00001C07000003FC00001C0 7000003FC00001C07000003FC00001C07000003FC00001C0E000003FC00000E0E000003F C00000E0E000003FC00000E0E000003FC00000E0E000003FC00000E00000003FC0000000 0000003FC00000000000003FC00000000000003FC00000000000003FC00000000000003F C00000000000003FC00000000000003FC00000000000003FC00000000000003FC0000000 0000003FC00000000000003FC00000000000003FC00000000000003FC00000000000003F C00000000000003FC00000000000003FC00000000000003FC00000000000003FC0000000 0000003FC00000000000003FC00000000000003FC00000000000003FC00000000000003F C00000000000003FC00000000000003FC00000000000003FC00000000000003FC0000000 0000003FC00000000000003FC00000000000003FC00000000000003FC00000000000003F C00000000000003FC00000000000003FC00000000000007FE0000000000000FFF0000000 0007FFFFFFFE00000007FFFFFFFE00000007FFFFFFFE00003B3D7DBC42>I91 D93 D<000FF800000000FFFE00000003F01F800000078007 E000000F8003F000000FE001F800001FF001FC00001FF000FE00001FF000FE00001FF000 FE00001FF0007F00000FE0007F00000380007F00000000007F00000000007F0000000000 7F00000000007F000000001FFF00000003FFFF0000001FF87F0000007F807F000001FC00 7F000007F8007F00000FE0007F00001FC0007F00003F80007F00003F80007F00007F0000 7F00007F00007F0380FE00007F0380FE00007F0380FE00007F0380FE0000FF0380FE0000 FF0380FE0000FF03807F0001FF03807F0003BF03803F80071F87001FC00E1FCF0007F03C 0FFE0001FFF807FC00003FC001F000292A7DA82D>97 D<01FC00000000FFFC00000000FF FC00000000FFFC0000000007FC0000000003FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC03FC000001FC1FFF800001FC7C07E00001 FDE001F00001FFC000FC0001FF80007E0001FF00003F0001FE00003F8001FC00001F8001 FC00001FC001FC00000FE001FC00000FE001FC00000FF001FC00000FF001FC000007F001 FC000007F801FC000007F801FC000007F801FC000007F801FC000007F801FC000007F801 FC000007F801FC000007F801FC000007F801FC000007F801FC000007F001FC000007F001 FC00000FF001FC00000FF001FC00000FE001FC00001FE001FC00001FC001FE00001F8001 FE00003F0001FF00007F0001FF8000FE0001F3C001F80001F1E003F00001E0780FC00001 C03FFF0000000007F800002D407EBE33>I<0001FF0000000FFFE000003F00F800007C00 1E0001F8001F0003F0007F0007F000FF800FE000FF800FC000FF801FC000FF801FC000FF 803F80007F003F80001C007F800000007F800000007F00000000FF00000000FF00000000 FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF 00000000FF000000007F800000007F800000007F800000003F800001C03FC00001C01FC0 0003C01FC00003800FE000078007F000070003F0000E0001F8001E0000FC007800003F01 F000000FFFC0000001FE0000222A7DA828>I<00000001FC00000000FFFC00000000FFFC 00000000FFFC0000000007FC0000000003FC0000000001FC0000000001FC0000000001FC 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC 0000000001FC0000000001FC000000FF01FC000007FFE1FC00001F80F9FC00007E003DFC 0000FC001FFC0003F80007FC0007F00007FC0007E00003FC000FC00001FC001FC00001FC 003FC00001FC003F800001FC007F800001FC007F800001FC007F000001FC007F000001FC 00FF000001FC00FF000001FC00FF000001FC00FF000001FC00FF000001FC00FF000001FC 00FF000001FC00FF000001FC00FF000001FC00FF000001FC007F000001FC007F800001FC 007F800001FC003F800001FC003F800001FC001FC00001FC000FC00003FC000FE00003FC 0007E00007FC0003F0000FFE0001F8001FFF00007C0079FFF8003F01F1FFF8000FFFC1FF F80001FE01FC002D407DBE33>I<0001FE0000000FFFC000003F03F00000FC01F80001F8 00FC0003F0007E0007E0003F000FE0003F800FC0001F801FC0001FC03F80000FC03F8000 0FC07F80000FC07F80000FE07F00000FE07F00000FE0FF00000FE0FF00000FE0FFFFFFFF E0FFFFFFFFE0FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000 7F000000007F000000007F800000003F800000003F800000E01FC00000E01FC00001E00F C00001C007E00003C007F000078003F800070000FC001E00007E003C00001F80F8000007 FFE0000000FF0000232A7EA828>I<00001FC000007FF80001F83C0007E07E000FC0FF00 1FC1FF003F81FF003F01FF007F01FF007F00FE00FE007C00FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000000FE0000FFFFFF00FFFFFF00FFFFFF0000FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000001FF00007FFFFF007FFFFF007FFFFF0020407EBF1C>I<000000007C000003F801 FF00001FFF078F80007E0FDE1F8000F803F81F8003F001F81F8003F001F81F8007E000FC 06000FE000FE00000FC0007E00001FC0007F00001FC0007F00001FC0007F00001FC0007F 00001FC0007F00001FC0007F00001FC0007F00001FC0007F00000FC0007E00000FE000FE 000007E000FC000003F001F8000003F001F8000001F803E0000003FE0FC00000071FFF00 00000703F80000000600000000000E00000000000E00000000000E00000000000F000000 00000F00000000000F80000000000FC00000000007FFFFE0000007FFFFFE000003FFFFFF 800001FFFFFFE00000FFFFFFF00003FFFFFFF8000FC0001FFC001F000001FE003E000000 FE007C0000007E007C0000003F00F80000003F00F80000001F00F80000001F00F8000000 1F00F80000001F00FC0000003F007C0000003E007E0000007E003F000000FC001F800001 F8000FC00003F00003F0000FC00000FE007F0000003FFFFC00000003FFC00000293D7EA8 2D>I<01FC00000000FFFC00000000FFFC00000000FFFC0000000007FC0000000003FC00 00000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC00 00000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC00 00000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC01 FE000001FC07FFC00001FC1E07E00001FC7803F00001FCE001F80001FDC001FC0001FD80 01FC0001FF8000FE0001FF0000FE0001FF0000FE0001FE0000FE0001FE0000FE0001FC00 00FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC00 00FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC00 00FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC00 00FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0003FE00 01FF00FFFFF87FFFFCFFFFF87FFFFCFFFFF87FFFFC2E3F7DBE33>I<01E00007F80007F8 000FFC000FFC000FFC000FFC0007F80007F80001E0000000000000000000000000000000 0000000000000000000000000000000000000000000001FC007FFC007FFC007FFC0007FC 0003FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC 0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC 0001FC0001FC0001FC0001FC0001FC0001FC0001FC0003FE00FFFFF0FFFFF0FFFFF0143E 7DBD1A>I<0000780001FE0001FE0003FF0003FF0003FF0003FF0001FE0001FE00007800 000000000000000000000000000000000000000000000000000000000000000000000000 007F007FFF007FFF007FFF0001FF0000FF00007F00007F00007F00007F00007F00007F00 007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00 007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00 007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F3E007F7F 007FFF807EFF80FEFF80FEFF80FCFF81F87F01F87C03F01E07C00FFF8001FC00185185BD 1C>I<01FC00000000FFFC00000000FFFC00000000FFFC0000000007FC0000000003FC00 00000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC00 00000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC00 00000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC00 00000001FC00FFFF8001FC00FFFF8001FC00FFFF8001FC003FFC0001FC003FE00001FC00 3F800001FC003F000001FC003C000001FC0078000001FC00F0000001FC01E0000001FC07 C0000001FC0F80000001FC1F00000001FC3E00000001FC7F00000001FCFF80000001FDFF 80000001FFDFC0000001FF9FE0000001FF0FE0000001FE07F0000001FC07F8000001F803 FC000001F801FC000001F801FE000001F800FF000001F8007F000001F8007F800001F800 3FC00001F8001FC00001F8001FE00001F8000FF00001F8000FF00001F8000FF80003FC00 0FFE00FFFFF07FFFE0FFFFF07FFFE0FFFFF07FFFE02B3F7EBE30>I<01FC00FFFC00FFFC 00FFFC0007FC0003FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC 0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC 0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC 0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC 0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0003FE00FFFFF8FFFFF8FFFF F8153F7DBE1A>I<01F801FE0000FF0000FFF807FFC003FFE000FFF81E07E00F03F000FF F87803F03C01F80007F8E001F87000FC0003F9C001FCE000FE0001F98001FCC000FE0001 FB8000FFC0007F0001FB0000FF80007F0001FF0000FF80007F0001FE0000FF00007F0001 FE0000FF00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001 FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001 FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001 FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001 FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001 FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001 FC0000FE00007F0003FE0001FF0000FF80FFFFF87FFFFC3FFFFEFFFFF87FFFFC3FFFFEFF FFF87FFFFC3FFFFE47287DA74C>I<01F801FE0000FFF807FFC000FFF81E07E000FFF878 03F00007F8E001F80003F9C001FC0001F98001FC0001FB8000FE0001FB0000FE0001FF00 00FE0001FE0000FE0001FE0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC00 00FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC00 00FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC00 00FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC00 00FE0001FC0000FE0001FC0000FE0003FE0001FF00FFFFF87FFFFCFFFFF87FFFFCFFFFF8 7FFFFC2E287DA733>I<0000FF00000007FFE000001F81F800007E007E0000F8001F0001 F0000F8003E00007C007C00003E00FC00003F01F800001F81F800001F83F800001FC3F80 0001FC7F000000FE7F000000FE7F000000FE7F000000FEFF000000FFFF000000FFFF0000 00FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FF7F000000 FE7F000000FE7F000000FE3F800001FC3F800001FC3F800001FC1F800001F80FC00003F0 0FC00003F007E00007E003F0000FC001F8001F80007E007E00003F81FC00000FFFF00000 00FF0000282A7EA82D>I<01FC03FC0000FFFC1FFF8000FFFC7C0FE000FFFDE003F00003 FFC001FC0001FF8000FE0001FF00007F0001FE00003F8001FC00003F8001FC00001FC001 FC00001FE001FC00001FE001FC00000FF001FC00000FF001FC00000FF001FC000007F801 FC000007F801FC000007F801FC000007F801FC000007F801FC000007F801FC000007F801 FC000007F801FC000007F801FC000007F801FC00000FF001FC00000FF001FC00000FF001 FC00000FF001FC00001FE001FC00001FE001FC00003FC001FE00003F8001FE00007F0001 FF00007F0001FF8000FE0001FFC001F80001FDE007F00001FC780FC00001FC3FFF000001 FC07F8000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000003FE00000000FFFFF8000000FFFFF8000000FFFFF80000002D 3A7EA733>I<01F807E0FFF81FF8FFF8787CFFF8E1FE07F9C1FE03F981FE01FB81FE01FB 01FE01FB00FC01FF003001FE000001FE000001FE000001FC000001FC000001FC000001FC 000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC 000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC 000001FC000003FE0000FFFFFE00FFFFFE00FFFFFE001F287EA724>114 D<003FC06001FFF8E007C03FE01F000FE03E0007E03C0003E07C0003E0780001E0F80001 E0F80000E0F80000E0FC0000E0FE0000E0FF0000E0FF8000007FF800007FFFC0003FFFF8 001FFFFE000FFFFF0007FFFF8001FFFFC0003FFFE00003FFF000001FF000000FF8E00003 F8E00003F8E00001F8F00001F8F00000F8F00000F8F80000F8F80000F0FC0000F0FC0001 F0FE0001E0FF0003C0FF800780F3E01F00E0FFFC00C01FE0001D2A7DA824>I<001C0000 001C0000001C0000001C0000001C0000001C0000003C0000003C0000003C0000003C0000 007C0000007C000000FC000000FC000001FC000003FC000007FC00001FFFFFC0FFFFFFC0 FFFFFFC001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC0000 01FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC0000 01FC000001FC000001FC000001FC00E001FC00E001FC00E001FC00E001FC00E001FC00E0 01FC00E001FC00E001FC00E000FC00E000FE01C000FE01C0007F03C0003F0380001F8700 0007FE000001F8001B397EB723>I<01FC0000FE00FFFC007FFE00FFFC007FFE00FFFC00 7FFE0007FC0003FE0003FC0001FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC00 00FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC00 00FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC00 00FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC00 00FE0001FC0000FE0001FC0001FE0001FC0001FE0001FC0001FE0001FC0003FE0000FC00 03FE0000FC0007FE0000FE0006FF00007E000EFF80003F001CFFFC001FC078FFFC0007FF E0FFFC0000FF80FE002E297DA733>IIII E /FA 7 117 df<00000000FC0000000000000000FC0000000000000001FE000000 0000000001FE0000000000000003FF0000000000000003FF0000000000000003FF000000 0000000007FF8000000000000007FF800000000000000FFFC00000000000000FFFC00000 000000000FFFC00000000000001FFFE00000000000001FFFE00000000000003FFFF00000 000000003FFFF00000000000003FFFF00000000000007FFFF80000000000007CFFF80000 00000000FCFFFC000000000000F87FFC000000000000F87FFC000000000001F87FFE0000 00000001F03FFE000000000003F03FFF000000000003E01FFF000000000007E01FFF8000 00000007C01FFF800000000007C00FFF80000000000FC00FFFC0000000000F8007FFC000 0000001F8007FFE0000000001F0007FFE0000000001F0003FFE0000000003F0003FFF000 0000003E0001FFF0000000007E0001FFF8000000007C0000FFF8000000007C0000FFF800 000000FC0000FFFC00000000F800007FFC00000001FFFFFFFFFE00000001FFFFFFFFFE00 000001FFFFFFFFFE00000003FFFFFFFFFF00000003FFFFFFFFFF00000007E000001FFF80 000007C000000FFF8000000FC000000FFFC000000F8000000FFFC000000F80000007FFC0 00001F80000007FFE000001F00000003FFE000003F00000003FFF000003E00000003FFF0 00003E00000001FFF000007E00000001FFF800007C00000000FFF800FFFFFC0000FFFFFF FCFFFFFC0000FFFFFFFCFFFFFC0000FFFFFFFCFFFFFC0000FFFFFFFCFFFFFC0000FFFFFF FC463F7CBE4F>65 D<0007FFC00000003FFFF8000001FFFFFF000003FFFFFF800007FE03 FFC0000FF800FFE0000FFC003FF0001FFE003FF8001FFE001FFC001FFE001FFC001FFE00 1FFC001FFE000FFE001FFE000FFE000FFC000FFE0007F8000FFE0001E0000FFE00000000 0FFE000000003FFE000000FFFFFE00000FFFFFFE00007FFFFFFE0001FFFE0FFE0003FFE0 0FFE000FFF800FFE001FFE000FFE003FFC000FFE003FF8000FFE007FF0000FFE00FFF000 0FFE00FFE0000FFE00FFE0000FFE00FFE0000FFE00FFE0000FFE00FFE0001FFE00FFF000 1FFE007FF0003FFE007FF8007BFF803FFC00FBFFFE1FFF07F3FFFE0FFFFFE1FFFE03FFFF 80FFFE00FFFF003FFE001FF80000002F2B7DA933>97 D<00FF0000000000FFFF00000000 00FFFF0000000000FFFF0000000000FFFF0000000000FFFF000000000007FF0000000000 03FF000000000003FF000000000003FF000000000003FF000000000003FF000000000003 FF000000000003FF000000000003FF000000000003FF000000000003FF000000000003FF 000000000003FF000000000003FF000000000003FF000000000003FF000000000003FF00 FFE0000003FF07FFFC000003FF1FFFFF800003FF7FFFFFC00003FFFF81FFF00003FFFC00 3FF80003FFF0001FFC0003FFE0000FFE0003FFC00007FE0003FF800007FF0003FF800003 FF8003FF800003FF8003FF800003FFC003FF800001FFC003FF800001FFC003FF800001FF C003FF800001FFE003FF800001FFE003FF800001FFE003FF800001FFE003FF800001FFE0 03FF800001FFE003FF800001FFE003FF800001FFE003FF800001FFE003FF800001FFE003 FF800001FFC003FF800001FFC003FF800003FFC003FF800003FF8003FF800003FF8003FF 800003FF0003FF800007FF0003FFC00007FE0003FFE0000FFC0003FFF0001FF80003FFFC 007FF00003FCFF01FFE00003F87FFFFFC00003F01FFFFF000003E007FFFC0000000001FF C0000033407DBE3A>I<00007FF0000007FFFF00001FFFFFC0007FFFFFE000FFF01FF001 FF800FF803FF001FF807FE003FFC0FFE003FFC1FFC003FFC1FFC003FFC3FF8003FFC3FF8 003FFC7FF8001FF87FF0000FF07FF00003C0FFF0000000FFF0000000FFF0000000FFF000 0000FFF0000000FFF0000000FFF0000000FFF0000000FFF0000000FFF0000000FFF00000 007FF00000007FF80000007FF80000007FF80000003FF800003E3FFC00003E1FFC00007E 0FFE00007C07FF0000FC07FF8001F803FFC003F000FFF81FE0007FFFFFC0001FFFFF8000 07FFFE0000007FF000272B7DA92E>I<01FE01FE00FFFE07FF80FFFE0FFFE0FFFE1FFFF0 FFFE3F1FF0FFFE7C3FF807FEF83FF803FEF03FF803FFE03FF803FFE03FF803FFC01FF003 FFC00FE003FF8007C003FF80000003FF80000003FF80000003FF00000003FF00000003FF 00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF00 000003FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF0000 0003FF00000003FF00000003FF000000FFFFFF0000FFFFFF0000FFFFFF0000FFFFFF0000 FFFFFF000025297DA82B>114 D<003FFC1E0001FFFFBE0007FFFFFE000FFFFFFE001FF0 0FFE003F8001FE007F0000FE007E00007E007E00007E00FE00003E00FE00003E00FF0000 3E00FF80003E00FFC0000000FFF8000000FFFFE000007FFFFF00007FFFFFC0003FFFFFF0 001FFFFFF8000FFFFFFC0007FFFFFE0003FFFFFF0000FFFFFF80001FFFFF800000FFFF80 000007FFC0000000FFC07800007FC0F800003FC0F800001FC0FC00001FC0FC00001FC0FE 00001FC0FE00001F80FF00003F80FF80003F00FFE000FF00FFF803FE00FFFFFFFC00FFFF FFF000F87FFFC000E00FFE0000222B7DA929>I<0007C0000007C0000007C0000007C000 0007C000000FC000000FC000000FC000000FC000001FC000001FC000001FC000003FC000 007FC000007FC00000FFC00001FFC00007FFC0001FFFFFFEFFFFFFFEFFFFFFFEFFFFFFFE FFFFFFFE01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000 01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000 01FFC00001FFC00001FFC01F01FFC01F01FFC01F01FFC01F01FFC01F01FFC01F01FFC01F 01FFC01F01FFC01F00FFE03E00FFE03E007FE07E007FF8FC003FFFF8001FFFF00007FFE0 0000FF80203B7EB929>I E /FB 97 128 df0 D<000000001800000000000000003C00000000000000003C00000000000000007E000000 00000000007E0000000000000000FF0000000000000000FF0000000000000001FF800000 0000000001FF80000000000000037FC0000000000000037FC0000000000000063FE00000 00000000063FE00000000000000C1FF00000000000000C1FF0000000000000180FF80000 00000000180FF80000000000003807FC0000000000003007FC0000000000007003FE0000 000000006003FE000000000000E001FF000000000000C001FF000000000001C000FF8000 000000018000FF80000000000380007FC0000000000300007FC0000000000700003FE000 0000000600003FE0000000000E00001FF0000000000C00001FF0000000001C00000FF800 0000001800000FF80000000038000007FC0000000030000007FC0000000070000003FE00 00000060000003FE00000000E0000001FF00000000C0000001FF00000001C0000000FF80 00000180000000FF80000003800000007FC0000003000000007FC0000003000000003FC0 000006000000003FE0000006000000001FE000000C000000001FF000000C000000000FF0 000018000000000FF80000180000000007F80000300000000007FC0000300000000003FC 0000600000000003FE0000600000000003FE0000C00000000001FF0000C00000000001FF 0001800000000000FF8001800000000000FF80030000000000007FC0030000000000007F C0060000000000003FE0060000000000003FE00C0000000000001FF00C0000000000001F F01FFFFFFFFFFFFFFFF81FFFFFFFFFFFFFFFF83FFFFFFFFFFFFFFFFC3FFFFFFFFFFFFFFF FC7FFFFFFFFFFFFFFFFE7FFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFF48477CC651>I5 DI<0003FFFFFFFC00000003FFFFFFFC 00000003FFFFFFFC0000000000FFF00000000000007FE00000000000003FC00000000000 003FC00000000000003FC00000000000003FC00000000000003FC00000000000003FC000 00000000003FC00000000000003FC0000000000001FFF000000000003FFFFF8000000001 FF3FDFF000000007F03FC1FC0000001FC03FC07F0000003F003FC01F800000FE003FC00F E00001FC003FC007F00003F8003FC003F80007F0003FC001FC000FE0003FC000FE001FE0 003FC000FF001FC0003FC0007F003FC0003FC0007F807FC0003FC0007FC07FC0003FC000 7FC07F80003FC0003FC0FF80003FC0003FE0FF80003FC0003FE0FF80003FC0003FE0FF80 003FC0003FE0FF80003FC0003FE0FF80003FC0003FE0FF80003FC0003FE0FF80003FC000 3FE07F80003FC0003FC07FC0003FC0007FC07FC0003FC0007FC03FC0003FC0007F801FC0 003FC0007F001FE0003FC000FF000FE0003FC000FE0007F0003FC001FC0003F8003FC003 F80001FC003FC007F00000FE003FC00FE000003F003FC01F8000001FC03FC07F00000007 F03FC1FC00000001FF3FDFF0000000003FFFFF800000000001FFF00000000000003FC000 00000000003FC00000000000003FC00000000000003FC00000000000003FC00000000000 003FC00000000000003FC00000000000003FC00000000000007FE0000000000000FFF000 00000003FFFFFFFC00000003FFFFFFFC00000003FFFFFFFC00003B447BC346>8 D<00007FFFFFFF80000000007FFFFFFF80000000007FFFFFFF8000000000001FFE000000 000000000FFC0000000000000007F80000000000000007F80000000000000007F8000000 0000000007F80000000000000007F80000000000000007F80000000000000007F8000000 0000000007F800000000FF800007F80000FF80FFE00007F80003FF801FF00007F80007FC 000FF80007F8000FF80007F80007F8000FF00007FC0007F8001FF00003FC0007F8001FE0 0003FC0007F8001FE00003FE0007F8003FE00001FE0007F8003FC00001FE0007F8003FC0 0001FE0007F8003FC00001FE0007F8003FC00001FE0007F8003FC00001FE0007F8003FC0 0001FE0007F8003FC00001FE0007F8003FC00001FE0007F8003FC00001FE0007F8003FC0 0001FE0007F8003FC00001FE0007F8003FC00000FF0007F8003F800000FF0007F8007F80 0000FF0007F8007F800000FF0007F8007F800000FF0007F8007F8000007F8007F800FF00 00007F8007F800FF0000003F8007F800FE0000003FC007F801FE0000001FC007F801FE00 00001FE007F803FC0000000FE007F803F800000007F007F807F800000003F807F807F000 000001FC07F80FE000000000FE07F81FC0000000007F07F87F00000000001FC7F8FE0000 00000007FFFFF8000000000001FFFFC00000000000001FFC0000000000000007F8000000 0000000007F80000000000000007F80000000000000007F80000000000000007F8000000 0000000007F80000000000000007F80000000000000007F8000000000000000FFC000000 000000001FFE0000000000007FFFFFFF80000000007FFFFFFF80000000007FFFFFFF8000 0041447BC34C>I<0000007FF000000000000FFFFF80000000003FC01FE000000000FE00 03F800000003F80000FE0000000FE000003F8000001FC000001FC000007F8000000FF000 00FF00000007F80001FE00000003FC0003FC00000001FE0007FC00000001FF0007F80000 0000FF000FF0000000007F800FF0000000007F801FF0000000007FC01FE0000000003FC0 3FE0000000003FE03FE0000000003FE03FE0000000003FE07FC0000000001FF07FC00000 00001FF07FC0000000001FF07FC0000000001FF07FC0000000001FF07FC0000000001FF0 7FC0000000001FF07FC0000000001FF07FC0000000001FF07FC0000000001FF03FE00000 00003FE03FE0000000003FE03FE0000000003FE03FE0000000003FE01FE0000000003FC0 1FF0000000007FC00FF0000000007F800FF0000000007F8007F800000000FF0007F80000 0000FF0003F800000000FE0003FC00000001FE0001FC00000001FC0000FC00000001F800 00FE00000003F800007E00000003F000007F00000007F000003F00000007E000001F0000 0007C000001F8000000FC000000F8000000F800000078000000F00000007C000001F0000 0003C000001E0000C003C000001E0018C001E000003C0018C001E000003C00186000E000 003800306000F00000780030600070000070003060007000007000307000300000600070 30003000006000603800380000E000E03FFFF80000FFFFE03FFFF80000FFFFE03FFFF800 00FFFFE01FFFF80000FFFFC01FFFF80000FFFFC01FFFF80000FFFFC03D467CC546>I<00 0000FFC001FC0000000FFFF80FFF0000003F803E3F03C00000FC00077E07E00003F8000F FC0FF00007F0003FF81FF0000FE0007FF01FF0001FC0007FF01FF0003F80007FE01FF000 7F00007FE01FF0007F00007FE00FE000FF00003FC0038000FE00001FC0000000FE00001F C0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000 FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001F C0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC00000FF FFFFFFFFFFF000FFFFFFFFFFFFF000FFFFFFFFFFFFF00000FE00001FC0000000FE00001F C0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000 FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001F C0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000 FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001F C0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000 FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001F C0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000 FE00001FC0000000FE00001FC0000000FE00001FC0000001FF00003FF000007FFFFC0FFF FFE0007FFFFC0FFFFFE0007FFFFC0FFFFFE0003C467EC539>I<000001FF000000000FFF E00000007F80F8000001FC001C000003F8000E000007E0000F00000FC0007F00001FC000 FF80003F8000FF80007F0000FF80007F0000FF8000FF0000FF8000FE00007F0000FE0000 3E0000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000 000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000 000000FE00003F80FFFFFFFFFF80FFFFFFFFFF80FFFFFFFFFF8000FE0000FF8000FE0000 7F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE0000 3F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE0000 3F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE0000 3F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE0000 3F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE0000 3F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8001FF00007FC07FFFFC1F FFFF7FFFFC1FFFFF7FFFFC1FFFFF30467EC536>I<000001FFC00000000FFFFB8000007F 803F800001FC003F800003F800FF800007E000FF80001FC000FF80001FC000FF80003F80 00FF80007F0000FF80007F00007F8000FF00003F8000FE00003F8000FE00003F8000FE00 003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00 003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00 003F80FFFFFFFFFF80FFFFFFFFFF80FFFFFFFFFF8000FE00003F8000FE00003F8000FE00 003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00 003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00 003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00 003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00 003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00 003F8000FE00003F8000FE00003F8000FE00003F8001FF00007FC07FFFFC1FFFFF7FFFFC 1FFFFF7FFFFC1FFFFF30467EC536>I<000000FF80003FE0000000000FFFF001FFFC0000 00003F807C0FF01F00000000FC000E3F800380000003F800077F0001C0000007F0000FFC 0001E000000FE0003FF8000FE000001FC0007FF8001FF000003F80007FF0001FF000007F 00007FE0001FF000007F00007FE0001FF00000FF00007FE0001FF00000FE00007FC0000F E00000FE00001FC00007C00000FE00001FC00000000000FE00001FC00000000000FE0000 1FC00000000000FE00001FC00000000000FE00001FC00000000000FE00001FC000000000 00FE00001FC00000000000FE00001FC00000000000FE00001FC00000000000FE00001FC0 0000000000FE00001FC00000000000FE00001FC00000000000FE00001FC00007F000FFFF FFFFFFFFFFFFF000FFFFFFFFFFFFFFFFF000FFFFFFFFFFFFFFFFF00000FE00001FC0001F F00000FE00001FC0000FF00000FE00001FC00007F00000FE00001FC00007F00000FE0000 1FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F000 00FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC0 0007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE 00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007 F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE0000 1FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F000 00FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC0 0007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE 00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00001FF00003FE0000F F8007FFFFC0FFFFF83FFFFE07FFFFC0FFFFF83FFFFE07FFFFC0FFFFF83FFFFE04B467EC5 51>I<7C0000FC0000FE0000FF0000FF00007F80003FC0001FE0000FE00007F00003F800 00F800007C00003E00001E00000F00000380000100111275C431>18 D<001F00001F80003F80007F80007F8000FF0001FE0003FC0003F80007F0000FE0000F80 001F00003E00003C0000780000E0000040000011126CC431>I<1E007F80FFC0FFC0FFC0 FFC0FFC0FFC0FFC0FFC0FFC07F807F807F807F807F807F807F807F807F807F807F807F80 3F003F003F003F003F003F003F003F003F003F003F001E001E001E001E001E001E001E00 1E001E001E001E001E000C000C000C000C000C0000000000000000000000000000000000 000000001E007F807F80FFC0FFC0FFC0FFC07F807F801E000A4778C61B>33 D<1E0003C07F800FF0FF801FF0FFC01FF8FFC01FF8FFE01FFCFFE01FFCFFE01FFC7FE00F FC1E6003CC0060000C0060000C0060000C0060000C00E0001C00C0001800C0001800C000 1801C00038018000300380007003000060070000E0060000C00E0001C01C000380380007 0070000E0060000C001E1D7DC431>I<00000000300000C00000000000780001E0000000 0000780001E00000000000F80003E00000000000F80003E00000000000F00003C0000000 0000F00003C00000000001F00007C00000000001F00007C00000000001E0000780000000 0001E00007800000000003E0000F800000000003E0000F800000000003C0000F00000000 0003C0000F000000000007C0001F000000000007C0001F00000000000780001E00000000 000780001E00000000000F80003E00000000000F80003E00000000000F00003C00000000 000F00003C00000000001F00007C00000000001F00007C00000000001E00007800000000 001E00007800000000003E0000F800000000003E0000F800000000003C0000F000000000 003C0000F000000000007C0001F000007FFFFFFFFFFFFFFFF8FFFFFFFFFFFFFFFFFCFFFF FFFFFFFFFFFFFC7FFFFFFFFFFFFFFFF8000001F00007C00000000001E000078000000000 01E00007800000000001E00007800000000003E0000F800000000003E0000F8000000000 03C0000F000000000003C0000F000000000003C0000F000000000003C0000F0000000000 07C0001F000000000007C0001F00000000000780001E00000000000780001E0000000000 0780001E00000000000F80003E0000007FFFFFFFFFFFFFFFF8FFFFFFFFFFFFFFFFFCFFFF FFFFFFFFFFFFFC7FFFFFFFFFFFFFFFF800003E0000F800000000003C0000F00000000000 3C0000F000000000007C0001F000000000007C0001F00000000000780001E00000000000 780001E00000000000F80003E00000000000F80003E00000000000F00003C00000000000 F00003C00000000001F00007C00000000001F00007C00000000001E00007800000000001 E00007800000000003E0000F800000000003E0000F800000000003C0000F000000000003 C0000F000000000007C0001F000000000007C0001F00000000000780001E000000000007 80001E00000000000F80003E00000000000F80003E00000000000F00003C00000000000F 00003C00000000001F00007C00000000001F00007C00000000001E00007800000000001E 00007800000000000C0000300000000046587BC451>I<1E007F80FF80FFC0FFC0FFE0FF E0FFE07FE01E60006000600060006000E000C000C000C001C0018003800300070006000E 001C003800700060000B1D78C41B>39 D<00000C00001C0000380000700000E00001C000 03C0000780000F00000F00001E00003C00003C0000780000F80000F00001F00001E00003 E00003E00007C00007C00007C0000F80000F80000F80001F00001F00001F00003F00003F 00003E00003E00007E00007E00007E00007E00007C00007C00007C0000FC0000FC0000FC 0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC 0000FC0000FC0000FC0000FC0000FC00007C00007C00007C00007E00007E00007E00007E 00003E00003E00003F00003F00001F00001F00001F00000F80000F80000F800007C00007 C00007C00003E00003E00001E00001F00000F00000F800007800003C00003C00001E0000 0F00000F000007800003C00001C00000E000007000003800001C00000C166476CA26>I< C00000E000007000003800001C00000E00000F000007800003C00003C00001E00000F000 00F000007800007C00003C00003E00001E00001F00001F00000F80000F80000F800007C0 0007C00007C00003E00003E00003E00003F00003F00001F00001F00001F80001F80001F8 0001F80000F80000F80000F80000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC 0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC 0000F80000F80000F80001F80001F80001F80001F80001F00001F00003F00003F00003E0 0003E00003E00007C00007C00007C0000F80000F80000F80001F00001F00001E00003E00 003C00007C0000780000F00000F00001E00003C00003C0000780000F00000E00001C0000 380000700000E00000C0000016647BCA26>I<00000000C00000000000000001E0000000 0000000001E00000000000000001E00000000000000001E00000000000000001E0000000 0000000001E00000000000000001E00000000000000001E00000000000000001E0000000 0000000001E00000000000000001E00000000000000001E00000000000000001E0000000 0000000001E00000000000000001E00000000000000001E00000000000000001E0000000 0000000001E00000000000000001E00000000000000001E00000000000000001E0000000 0000000001E00000000000000001E00000000000000001E00000000000000001E0000000 0000000001E00000000000000001E00000000000000001E00000000000000001E0000000 007FFFFFFFFFFFFFFF00FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF807FFFFFFFFFFFFFFF 0000000001E00000000000000001E00000000000000001E00000000000000001E0000000 0000000001E00000000000000001E00000000000000001E00000000000000001E0000000 0000000001E00000000000000001E00000000000000001E00000000000000001E0000000 0000000001E00000000000000001E00000000000000001E00000000000000001E0000000 0000000001E00000000000000001E00000000000000001E00000000000000001E0000000 0000000001E00000000000000001E00000000000000001E00000000000000001E0000000 0000000001E00000000000000001E00000000000000001E00000000000000001E0000000 0000000001E00000000000000000C00000000041407BB84C>43 D<1E007F80FF80FFC0FF C0FFE0FFE0FFE07FE01E60006000600060006000E000C000C000C001C001800380030007 0006000E001C003800700060000B1D78891B>II<1E007F807F80FFC0FFC0FFC0FFC07F807F801E000A 0A78891B>I<0000000018000000003C000000007C000000007C000000007800000000F8 00000000F800000000F000000001F000000001F000000001E000000003E000000003E000 000003C000000007C000000007C000000007800000000F800000000F800000001F000000 001F000000001E000000003E000000003E000000003C000000007C000000007C00000000 7800000000F800000000F800000000F000000001F000000001F000000003E000000003E0 00000003C000000007C000000007C000000007800000000F800000000F800000000F0000 00001F000000001F000000001E000000003E000000003E000000003C000000007C000000 007C00000000F800000000F800000000F000000001F000000001F000000001E000000003 E000000003E000000003C000000007C000000007C000000007800000000F800000000F80 0000000F000000001F000000001F000000003E000000003E000000003C000000007C0000 00007C000000007800000000F800000000F800000000F000000001F000000001F0000000 01E000000003E000000003E000000007C000000007C000000007800000000F800000000F 800000000F000000001F000000001F000000001E000000003E000000003E000000003C00 0000007C000000007C000000007800000000F800000000F800000000F000000000600000 000026647BCA31>I<0000FF00000007FFE000001F81F800003E007C0000FC003F0001F8 001F8001F0000F8003E00007C007C00003E007C00003E00FC00003F00F800001F01F8000 01F81F800001F83F800001FC3F800001FC3F800001FC3F000000FC7F000000FE7F000000 FE7F000000FE7F000000FE7F000000FEFF000000FFFF000000FFFF000000FFFF000000FF FF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF 000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF00 0000FFFF000000FFFF000000FFFF000000FF7F000000FE7F000000FE7F000000FE7F0000 00FE7F000000FE7F800001FE3F800001FC3F800001FC3F800001FC1F800001F81F800001 F80FC00003F00FC00003F00FC00003F007E00007E003E00007C003F0000FC001F8001F80 00FC003F00003E007C00001F81F8000007FFE0000000FF000028447CC131>I<00003000 0000F0000001F0000003F000001FF00000FFF000FFFFF000FFE7F000FF07F0000007F000 0007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F000 0007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F000 0007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F000 0007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F000 0007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F000 0007F0000007F0000007F0000007F0000007F0000007F000000FF800001FFC007FFFFFFF 7FFFFFFF7FFFFFFF204278C131>I<0003FE0000001FFFC000007FFFF00001F80FFC0003 C001FE00078000FF000E00007F801C00003FC01C00001FE03800001FF03000000FF07000 000FF860000007F86C000007F8FF000007FCFF800007FCFFC00007FCFFC00003FCFFC000 03FCFFC00003FCFFC00003FC7F800007FC3F000007FC00000007FC00000007F800000007 F80000000FF80000000FF00000001FF00000001FE00000001FE00000003FC00000007F80 0000007F00000000FF00000000FE00000001FC00000003F800000007F000000007E00000 000FC00000001F800000003F000000007C00000000F800000000F000000001E000000003 C000000007800000000F00000C001E00000C003C00000C0038000018007000001800E000 001801C0000018038000003807000000300E000000701FFFFFFFF01FFFFFFFF03FFFFFFF F07FFFFFFFF0FFFFFFFFE0FFFFFFFFE0FFFFFFFFE026427BC131>I<0001FF0000000FFF E000003FFFFC0000FE01FE0001F0007F8003C0003FC00700001FE00E00001FE00E00000F F00FE0000FF01FF0000FF81FF0000FF81FF00007F81FF80007F81FF00007F81FF00007F8 0FE0000FF803C0000FF80000000FF00000000FF00000000FF00000001FE00000001FE000 00003FC00000003F800000007F00000000FE00000001FC00000003F00000001FC000000F FF0000000FFFF000000001FC000000007F000000003F800000001FC00000000FE0000000 0FF000000007F800000007FC00000003FC00000003FE00000003FE00000001FE00000001 FF00000001FF00000001FF1E000001FF7F800001FFFFC00001FFFFC00001FFFFC00001FF FFC00001FFFFC00001FEFF800003FEFF800003FE7E000003FC70000007FC30000007F838 00000FF81C00000FF00E00001FE00780003FC003E0007F8001FE01FE00007FFFF800000F FFE0000001FF000028447CC131>I<000000038000000000038000000000078000000000 0F80000000000F80000000001F80000000003F80000000003F80000000007F8000000000 FF8000000000FF8000000001FF8000000003BF80000000033F80000000073F8000000006 3F800000000C3F800000001C3F80000000183F80000000303F80000000703F8000000060 3F80000000C03F80000001C03F80000001803F80000003003F80000007003F8000000600 3F8000000C003F8000001C003F80000018003F80000030003F80000070003F8000006000 3F800000E0003F800001C0003F80000180003F80000380003F80000300003F8000060000 3F80000E00003F80000C00003F80001800003F80003800003F80003000003F8000600000 3F8000E000003F8000FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC00000003F8000000000 3F80000000003F80000000003F80000000003F80000000003F80000000003F8000000000 3F80000000003F80000000003F80000000003F80000000003F80000000003F8000000000 FFE00000007FFFFFC000007FFFFFC000007FFFFFC02A437DC231>I<06000000C007C000 07C007FC007F8007FFFFFF0007FFFFFE0007FFFFFC0007FFFFF80007FFFFE00007FFFF80 00063FFC0000060000000006000000000600000000060000000006000000000600000000 060000000006000000000600000000060000000006000000000600000000060000000006 000000000600FF00000607FFC000061F01F000063800FC0006F0007E0007C0003F000780 001F800780001FC00700000FC00600000FE000000007F000000007F000000007F0000000 07F800000003F800000003F800000003FC00000003FC00000003FC00000003FC00000003 FC3E000003FC7F000003FCFF800003FCFF800003FCFF800003FCFF800003FCFF800003F8 FF000007F8FE000007F860000007F060000007F07000000FF03000000FE03800001FC01C 00001FC01E00003F800F00007F00078000FE0003C001FC0001F807F000007FFFE000001F FF00000007F8000026447BC131>I<000007FC0000003FFF000000FFFFC00003FC03E000 07E000F0001FC00038003F000058007E0001FC00FE0003FC00FC0007FC01F80007FC03F0 0007FC03F00007FC07E00003F80FE00001F00FE00000001FC00000001FC00000001FC000 00003F800000003F800000003F800000007F800000007F800000007F007F80007F01FFF0 007F0780FC00FF0E003E00FF1C001F80FF38000FC0FF700007E0FF600007E0FFE00003F0 FFC00003F8FFC00001F8FFC00001FCFF800001FCFF800000FEFF800000FEFF800000FEFF 000000FFFF000000FFFF000000FFFF000000FF7F000000FF7F000000FF7F000000FF7F00 0000FF7F000000FF7F800000FF3F800000FF3F800000FF3F800000FE1F800000FE1F8000 01FE1FC00001FC0FC00001FC0FC00003F807E00003F807E00007F003F00007E001F8000F C000FC001F80007E003F00003F80FE00000FFFF8000003FFE0000000FF800028447CC131 >I<1C00000000001C00000000001F80000000001FFFFFFFFFC01FFFFFFFFFC01FFFFFFF FFC03FFFFFFFFF803FFFFFFFFF803FFFFFFFFF003FFFFFFFFE00380000000C0030000000 1C0070000000380060000000300060000000700060000000E00060000000C000C0000001 C000C00000038000C000000700000000000600000000000E00000000001C000000000018 0000000000380000000000700000000000600000000000E00000000001C00000000001C0 000000000380000000000780000000000700000000000F00000000000F00000000001F00 000000001E00000000003E00000000003E00000000007E00000000007C00000000007C00 00000000FC0000000000FC0000000001FC0000000001FC0000000001FC0000000003F800 00000003F80000000003F80000000003F80000000007F80000000007F80000000007F800 00000007F80000000007F80000000007F8000000000FF8000000000FF8000000000FF800 0000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF800 0000000FF80000000007F00000000001C00000002A457BC231>I<0000FF00000007FFE0 00001FFFF800007F00FE0000FC003F0001F0001F8003E0000FC003C00007E007C00003F0 0F800001F00F800001F00F000001F81F000000F81F000000F81F000000F81F000000F81F 800000F81F800000F81FC00001F81FC00001F01FE00001F00FF00003E00FFC0003E007FE 0007C007FF800F8003FFC01F0001FFF03E0001FFF87800007FFEF000003FFFC000001FFF C0000007FFE0000003FFF8000007FFFC00001E7FFF00007C1FFF8000F80FFFC001E003FF E003C001FFF007C0007FF80F80003FFC1F00000FFC3E000007FE3E000001FE7C000000FE 7C000000FF7C0000007FF80000003FF80000003FF80000001FF80000001FF80000001FF8 0000001FF80000001FFC0000001E7C0000003E7C0000003E7E0000003C3E0000007C1F00 0000F81F800001F00FC00003E007E00007C003F8001F8000FF00FF00003FFFFC00000FFF F0000001FF800028447CC131>I<0000FF00000007FFE000001FFFF800007F80FC0000FC 007E0001F8003F0003F0001F8007E0000FC00FE00007E01FC00007E01FC00003F03F8000 03F03F800003F87F800001F87F000001FC7F000001FCFF000001FCFF000001FCFF000001 FEFF000000FEFF000000FEFF000000FEFF000000FEFF000000FEFF000000FFFF000000FF FF000000FFFF000000FF7F000001FF7F000001FF7F000001FF3F800001FF3F800003FF1F 800003FF1FC00003FF0FC00007FF07E00006FF07E0000EFF03F0001CFF01F80038FF007C 0070FF003F01E0FF000FFF80FE0001FE00FE00000000FE00000001FE00000001FC000000 01FC00000001FC00000001FC00000003F800000003F800000003F00F800007F01FC00007 E03FE0000FE03FE0000FC03FE0001F803FE0001F803FC0003F003F80007E001E0000FC00 1C0001F8000F0003F00007E01FE00003FFFF800000FFFE0000001FF0000028447CC131> I<1E007F807F80FFC0FFC0FFC0FFC07F807F801E00000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000001E007F807F 80FFC0FFC0FFC0FFC07F807F801E000A2B78AA1B>I<1E007F807F80FFC0FFC0FFC0FFC0 7F807F801E00000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000001E007F00FF80FF80FFC0FFC0FFC0FFC07FC01EC0 00C000C000C000C000C001C001800180018003800300070006000E000C001C0038007000 60000A3E78AA1B>I<7FFFFFFFFFFFFFFF00FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF80 7FFFFFFFFFFFFFFF00000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000007FFFFFFFFFFFFFFF00FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF80 7FFFFFFFFFFFFFFF0041187BA44C>61 D<000FFC0000007FFFC00001F007F000078001FC 000E0000FE001C00007F003800003F807000003FC06000001FC0FE00001FE0FF00001FE0 FF80001FE0FF80001FE0FF80001FE0FF80001FE0FF80001FE07F00001FE01C00003FC000 00003FC00000007F800000007F80000000FF00000001FE00000003F800000007F0000000 07E00000000FC00000001F800000001F000000003E000000003C00000000780000000078 000000007000000000F000000000E000000000E000000000C000000001C000000001C000 000001C00000000180000000018000000001800000000180000000018000000001800000 000180000000018000000001800000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000003C00000000F F00000000FF00000001FF80000001FF80000001FF80000001FF80000000FF00000000FF0 00000003C0000023467BC52E>63 D<0000001FFC00000000000001FFFFC0000000000007 E003F000000000001E00003C00000000007800000F0000000001E0000003C00000000380 000000E00000000F00000000780000001C000000001C00000038000000000E0000007000 00000007000000E00000000003800000C00000000001800001C00000000001C000038000 0FF00000E0000300003FFC00006000070000FC0F000070000E0003F003C00038000C0007 C000E00018001C001F800070001C0018003F800038000C0038003F00001C000E0030007E 00000FF006003000FE00000FF006007000FC000007F007006001FC000007F003006001FC 000007F003006003F8000007F003006003F8000007F00300E003F8000007F00380C007F0 000007F00180C007F0000007F00180C007F0000007F00180C007F0000007F00180C007F0 000007F00180C007F0000007F00180C007F0000007F00180C007F0000007F00180C007F0 000007F00180C007F0000007F00180C007F0000007F00180E003F8000007F001806003F8 000007F001806003F8000007F001806001FC000007F001806001FC000007F003807000FC 000007F003003000FE00000FF0030030007E00000FF0030038003F00001FF0030018003F 80003FF007001C001F800077F006000C0007C000E3F80E000E0003F003C3F81C00070000 FC0F00FC38000300003FFC007FF0000380000FF0000FC00001C00000000000000000C000 00000000000000E000000000000000007000000000000000003800000000000000001C00 000000000000000F00000000001F80000380000000007F800001E000000003FE00000078 0000001FF00000001E000001FF8000000007E0007FF80000000001FFFFFF000000000000 1FFFC000000041477BC54C>I<00000000C00000000000000001E00000000000000001E0 0000000000000001E00000000000000003F00000000000000003F00000000000000003F0 0000000000000007F80000000000000007F80000000000000007F8000000000000000FFC 000000000000000FFC000000000000000FFC0000000000000019FE0000000000000019FE 0000000000000019FE0000000000000030FF0000000000000030FF0000000000000070FF 80000000000000607F80000000000000607F80000000000000E07FC0000000000000C03F C0000000000000C03FC0000000000001C03FE0000000000001801FE0000000000001801F E0000000000003001FF0000000000003000FF0000000000003000FF0000000000006000F F80000000000060007F80000000000060007F800000000000C0003FC00000000000C0003 FC00000000000C0003FC0000000000180001FE0000000000180001FE0000000000180001 FE0000000000300000FF0000000000300000FF0000000000700000FF8000000000600000 7F80000000006000007F8000000000E000007FC000000000FFFFFFFFC000000000FFFFFF FFC000000001FFFFFFFFE0000000018000001FE0000000018000001FE000000003000000 1FF0000000030000000FF0000000030000000FF0000000060000000FF800000006000000 07F80000000600000007F80000000C00000003FC0000000C00000003FC0000000C000000 03FC0000001800000001FE0000001800000001FE0000001800000001FE00000030000000 00FF0000003000000000FF0000007800000000FF800000F800000000FF800001FC000000 00FFC0000FFF00000003FFE000FFFFE000007FFFFFC0FFFFE000007FFFFFC0FFFFE00000 7FFFFFC042477DC649>II<0000000FFE000060000000FFFFC0 00E0000003FFFFF000E000000FFC01FC01E000003FC0003E01E00000FF00000F83E00003 FC000003C7E00007F8000001E7E0000FF0000000FFE0001FE00000007FE0003FC0000000 3FE0007F800000001FE000FF000000000FE001FE000000000FE001FC0000000007E003FC 0000000007E007F80000000003E007F80000000003E00FF00000000001E00FF000000000 01E01FE00000000000E01FE00000000000E03FE00000000000E03FE00000000000E03FC0 0000000000607FC00000000000607FC00000000000607FC00000000000607FC000000000 0000FF80000000000000FF80000000000000FF80000000000000FF80000000000000FF80 000000000000FF80000000000000FF80000000000000FF80000000000000FF8000000000 0000FF80000000000000FF80000000000000FF80000000000000FF80000000000000FF80 0000000000007FC00000000000007FC00000000000007FC00000000000607FC000000000 00603FC00000000000603FE00000000000603FE00000000000601FE00000000000E01FF0 0000000000E00FF00000000000C00FF00000000000C007F80000000001C007F800000000 018003FC00000000038001FC00000000038001FE00000000070000FF000000000600007F 800000000E00003FC00000001C00001FE00000003800000FF000000078000007F8000000 F0000003FC000001E0000000FF000007800000003FC0001F000000000FFC00FC00000000 03FFFFF00000000000FFFFC000000000000FFE0000003B487BC546>II< FFFFFFFFFFFFF800FFFFFFFFFFFFF800FFFFFFFFFFFFF80001FFC000007FF800007F8000 0007FC00007F80000001FC00007F80000000FC00007F800000007C00007F800000003C00 007F800000001C00007F800000001C00007F800000000E00007F800000000E00007F8000 00000E00007F800000000600007F800000000600007F800000000600007F800000000600 007F800000000700007F800006000300007F800006000300007F800006000300007F8000 06000000007F800006000000007F800006000000007F800006000000007F80000E000000 007F80000E000000007F80001E000000007F80003E000000007F8000FE000000007FFFFF FE000000007FFFFFFE000000007FFFFFFE000000007F8000FE000000007F80003E000000 007F80001E000000007F80000E000000007F80000E000000007F800006000000007F8000 06000000007F800006000000007F8000060000C0007F8000060000C0007F8000060000C0 007F800006000180007F800000000180007F800000000180007F800000000180007F8000 00000180007F800000000380007F800000000380007F800000000300007F800000000300 007F800000000700007F800000000700007F800000000F00007F800000000F00007F8000 00001E00007F800000001E00007F800000003E00007F800000007E00007F80000001FE00 007F80000007FE0001FFC000007FFE00FFFFFFFFFFFFFC00FFFFFFFFFFFFFC00FFFFFFFF FFFFFC003A447CC342>II<0000000FFE0000600000 0000FFFFC000E000000003FFFFF000E00000000FFC01FC01E00000003FC0003E01E00000 00FF00000F83E0000003FC000003C7E0000007F8000001E7E000000FF0000000FFE00000 1FE00000007FE000003FC00000003FE000007F800000001FE00000FF000000000FE00001 FE000000000FE00001FC0000000007E00003FC0000000007E00007F80000000003E00007 F80000000003E0000FF00000000001E0000FF00000000001E0001FE00000000000E0001F E00000000000E0003FE00000000000E0003FE00000000000E0003FC0000000000060007F C0000000000060007FC0000000000060007FC0000000000060007FC000000000000000FF 8000000000000000FF8000000000000000FF8000000000000000FF8000000000000000FF 8000000000000000FF8000000000000000FF8000000000000000FF8000000000000000FF 8000000000000000FF8000000000000000FF8000000000000000FF8000000000000000FF 8000000000000000FF80000001FFFFFFC07FC0000001FFFFFFC07FC0000001FFFFFFC07F C0000000007FF0007FC0000000003FE0003FC0000000001FE0003FE0000000001FE0003F E0000000001FE0001FE0000000001FE0001FF0000000001FE0000FF0000000001FE0000F F0000000001FE00007F8000000001FE00007F8000000001FE00003FC000000001FE00001 FE000000001FE00001FE000000001FE00000FF000000001FE000007F800000001FE00000 3FC00000003FE000001FE00000003FE000000FF00000007FE0000007F8000000E7E00000 03FE000001C7E0000000FF00000383E00000003FE0000F01E00000000FFC00FE00E00000 0003FFFFF8006000000000FFFFE00000000000000FFE0000000042487BC54D>III<00 0FFFFFFE000FFFFFFE000FFFFFFE000003FF80000001FF00000000FF00000000FF000000 00FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000 FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF 00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF00 000000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF0000 0000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF000000 00FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000 FF00000000FF003F0000FF007F8000FF00FFC000FF00FFC000FF00FFC000FF00FFC000FF 00FFC001FE00FF8001FE00FF0001FE006C0003FC00700003F800380007F8001C0007F000 0E000FE00007001F800003E07F000000FFFC0000001FE0000027467BC332>IIIII<0000001F FC00000000000001FFFFC0000000000007F007F000000000001F8000FC00000000007E00 003F0000000001F800000FC000000003F0000007E000000007E0000003F00000000FC000 0001F80000001F80000000FC0000003F000000007E0000007E000000003F000000FE0000 00003F800001FC000000001FC00003F8000000000FE00003F8000000000FE00007F00000 000007F00007F00000000007F0000FF00000000007F8000FE00000000003F8001FE00000 000003FC001FE00000000003FC003FC00000000001FE003FC00000000001FE003FC00000 000001FE007FC00000000001FF007FC00000000001FF007F800000000000FF007F800000 000000FF007F800000000000FF00FF800000000000FF80FF800000000000FF80FF800000 000000FF80FF800000000000FF80FF800000000000FF80FF800000000000FF80FF800000 000000FF80FF800000000000FF80FF800000000000FF80FF800000000000FF80FF800000 000000FF80FF800000000000FF80FF800000000000FF807FC00000000001FF007FC00000 000001FF007FC00000000001FF007FC00000000001FF003FC00000000001FE003FE00000 000003FE003FE00000000003FE001FE00000000003FC001FE00000000003FC000FF00000 000007F8000FF00000000007F80007F8000000000FF00007F8000000000FF00003F80000 00000FE00003FC000000001FE00001FE000000003FC00000FE000000003F8000007F0000 00007F0000007F80000000FF0000003F80000000FE0000001FC0000001FC00000007E000 0003F000000003F0000007E000000001FC00001FC0000000007E00003F00000000001F80 00FC000000000007F007F0000000000001FFFFC00000000000001FFC0000000041487BC5 4C>II<0000001FFC00000000000001FFFFC0000000 000007F007F000000000001F8000FC00000000007E00003F0000000001FC00001FC00000 0003F0000007E000000007E0000003F00000000FC0000001F80000001F80000000FC0000 003F000000007E0000007F000000007F000000FE000000003F800001FC000000001FC000 03FC000000001FE00003F8000000000FE00007F8000000000FF00007F00000000007F000 0FF00000000007F8000FF00000000007F8001FE00000000003FC001FE00000000003FC00 3FE00000000003FE003FC00000000001FE003FC00000000001FE007FC00000000001FF00 7FC00000000001FF007FC00000000001FF007F800000000000FF007F800000000000FF00 FF800000000000FF80FF800000000000FF80FF800000000000FF80FF800000000000FF80 FF800000000000FF80FF800000000000FF80FF800000000000FF80FF800000000000FF80 FF800000000000FF80FF800000000000FF80FF800000000000FF80FF800000000000FF80 FF800000000000FF807F800000000000FF007FC00000000001FF007FC00000000001FF00 7FC00000000001FF003FC00000000001FE003FC00000000001FE003FE00000000003FE00 1FE00000000003FC001FE00000000003FC000FE00000000003F8000FF00000000007F800 07F00000000007F00007F80003F0000FF00003F8000FFC000FE00003FC001C0E001FE000 01FC003807001FC00000FE003003803F8000007F007001807F0000007F006000C07F0000 003F806000C0FE0000001FC06000E1FC00000007E0600063F000000003F0600077E00000 0001FC70007FC0000000007E30007F00000000001FB800FC000000000007FC07F80000C0 000001FFFFFC0000C00000001FFC3C0000C000000000003C0000C000000000003E0001C0 00000000001E0001C000000000001F0003C000000000001F00038000000000001F800780 00000000001FC00F8000000000000FF03F8000000000000FFFFF0000000000000FFFFF00 000000000007FFFF00000000000007FFFE00000000000003FFFC00000000000003FFFC00 000000000001FFF8000000000000007FE0000000000000001F800042597BC54C>II<0001FF000300000FFFE0070000 3FFFF8070000FE00FE0F0001F8001F0F0007E000079F0007C00003DF000F800001FF001F 000000FF003F0000007F003E0000003F007E0000003F007E0000001F007C0000001F00FC 0000000F00FC0000000F00FC0000000700FC0000000700FC0000000700FE0000000700FE 0000000300FE0000000300FF0000000300FF00000003007F80000000007FC0000000007F E0000000003FF8000000003FFE000000001FFFE00000000FFFFE00000007FFFFE0000003 FFFFFC000001FFFFFF000000FFFFFFC000003FFFFFF000000FFFFFF8000001FFFFFC0000 001FFFFE00000001FFFE000000001FFF0000000003FF8000000001FF8000000000FFC000 0000007FC0000000003FC0000000001FC0000000001FE0C00000000FE0C00000000FE0C0 0000000FE0C000000007E0C000000007E0C000000007E0E000000007E0E000000007E0E0 00000007E0F000000007C0F00000000FC0F80000000FC0F80000000F80FC0000001F80FE 0000001F00FF0000003F00FF8000007E00FBC00000FC00F9F00001F800F07C0003F000F0 3FC00FE000E00FFFFF8000E001FFFE0000C0003FF000002B487BC536>I<3FFFFFFFFFFF FFF83FFFFFFFFFFFFFF83FFFFFFFFFFFFFF83FF0001FF8001FF83F80000FF00003F83E00 000FF00000F87C00000FF000007C7800000FF000003C7800000FF000003C7000000FF000 001C7000000FF000001C7000000FF000001C6000000FF000000C6000000FF000000C6000 000FF000000C6000000FF000000C6000000FF000000CC000000FF0000006C000000FF000 0006C000000FF0000006C000000FF0000006C000000FF00000060000000FF00000000000 000FF00000000000000FF00000000000000FF00000000000000FF00000000000000FF000 00000000000FF00000000000000FF00000000000000FF00000000000000FF00000000000 000FF00000000000000FF00000000000000FF00000000000000FF00000000000000FF000 00000000000FF00000000000000FF00000000000000FF00000000000000FF00000000000 000FF00000000000000FF00000000000000FF00000000000000FF00000000000000FF000 00000000000FF00000000000000FF00000000000000FF00000000000000FF00000000000 000FF00000000000000FF00000000000000FF00000000000000FF00000000000000FF000 00000000000FF00000000000000FF00000000000000FF00000000000000FF00000000000 000FF00000000000000FF00000000000000FF00000000000000FF00000000000001FF800 00000000007FFE0000000001FFFFFFFF80000001FFFFFFFF80000001FFFFFFFF80003F44 7DC346>IIII89 D<1FFFFFFFFFFF801FFFFFFFFFFF801FFFFFFFFFFF801FFF80 0001FF001FFC000001FF001FF0000003FE001FC0000007FC001F80000007FC001F000000 0FF8001E0000000FF8001E0000001FF0003C0000003FE0003C0000003FE000380000007F C00038000000FF800038000000FF800038000001FF000030000003FE000030000003FE00 0030000007FC000030000007FC00003000000FF800000000001FF000000000001FF00000 0000003FE000000000007FC000000000007FC00000000000FF800000000001FF80000000 0001FF000000000003FE000000000003FE000000000007FC00000000000FF80000000000 0FF800000000001FF000000000003FE000000000003FE000000000007FC00000000000FF C00000000000FF800000000001FF000000000001FF000001800003FE000001800007FC00 0001800007FC00000180000FF800000180001FF000000380001FF000000300003FE00000 0300003FE000000300007FC00000030000FF800000030000FF800000070001FF00000007 0003FE000000070003FE0000000F0007FC0000000F000FF80000001F000FF80000003F00 1FF00000007F001FF0000000FE003FE0000003FE007FC000000FFE007FC00000FFFE00FF FFFFFFFFFE00FFFFFFFFFFFE00FFFFFFFFFFFE0031447BC33C>II<00C0001801C0003803800070070000E00E00 01C00C0001801C00038018000300380007003000060070000E0060000C0060000C006000 0C00E0001C00C0001800C0001800C0001800C0001800CF0019E0FFC01FF8FFE01FFCFFE0 1FFCFFE01FFC7FE00FFC7FE00FFC3FE007FC3FC007F80F0001E01E1D71C431>II<000C0000001E0000003F0000 007F800000F3C00001E1E00003C0F000078078000F003C001E001E003C000F0070000380 E00001C0400000801A0E75C331>I<0007FC000000003FFF80000000F80FE0000003C003 F00000070001F800000E0000FC00000FC0007E00001FE0007F00001FF0003F80001FF000 3F80001FF0003F80001FF0001FC0001FF0001FC0000FE0001FC0000380001FC000000000 1FC0000000001FC0000000001FC0000000001FC00000000FFFC0000001FFFFC000000FFE 1FC000003FC01FC00000FF001FC00003FC001FC00007F8001FC0000FF0001FC0001FE000 1FC0003FC0001FC0007FC0001FC0007F80001FC0007F80001FC060FF00001FC060FF0000 1FC060FF00001FC060FF00003FC060FF00003FC060FF00003FC060FF80007FC0607F8000 EFC0607FC000C7E0C03FC001C7E0C01FE00783F1C007F81E03FF8001FFFC01FF00001FE0 007C002B2E7CAC31>97 D<01FC00000000FFFC00000000FFFC00000000FFFC0000000007 FC0000000003FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC03FC000001FC0FFF800001FC3C07E00001 FC7001F80001FDE0007E0001FD80003F0001FF80001F8001FF00001FC001FE00000FE001 FC000007E001FC000007F001FC000007F001FC000003F801FC000003F801FC000003FC01 FC000003FC01FC000001FC01FC000001FE01FC000001FE01FC000001FE01FC000001FE01 FC000001FE01FC000001FE01FC000001FE01FC000001FE01FC000001FE01FC000001FE01 FC000001FE01FC000001FC01FC000003FC01FC000003FC01FC000003F801FC000003F801 FC000007F001FC000007F001FE00000FE001FE00000FC001FF00001FC001FB00003F8001 F380007E0001E1C000FC0001E0F001F80001C03C07E00001801FFF8000000003FC00002F 467DC436>I<00007F80000003FFF000000FC07C00003F000F0000FC00038001F80001C0 03F8000FC007F0001FE007E0003FE00FE0003FE01FC0003FE01FC0003FE03F80003FE03F 80001FC07F800007007F800000007F800000007F00000000FF00000000FF00000000FF00 000000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF0000 0000FF000000007F000000007F800000007F800000003F800000003F800000303FC00000 301FC00000700FE00000600FE00000E007F00000C003F80001C001F800038000FC000700 003F001E00001FC078000007FFF0000000FF8000242E7DAC2B>I<000000007F00000000 3FFF000000003FFF000000003FFF0000000001FF0000000000FF00000000007F00000000 007F00000000007F00000000007F00000000007F00000000007F00000000007F00000000 007F00000000007F00000000007F00000000007F00000000007F00000000007F00000000 007F00000000007F00000000007F00000000007F00000000007F00000000007F0000007F 807F000003FFF07F00000FC07C7F00003F000E7F00007E00077F0000FC0003FF0003F800 01FF0007F00000FF0007E00000FF000FE000007F001FC000007F001FC000007F003F8000 007F003F8000007F007F8000007F007F8000007F007F0000007F00FF0000007F00FF0000 007F00FF0000007F00FF0000007F00FF0000007F00FF0000007F00FF0000007F00FF0000 007F00FF0000007F00FF0000007F00FF0000007F007F0000007F007F8000007F007F8000 007F003F8000007F003F8000007F001FC000007F001FC000007F000FC00000FF000FE000 00FF0007F00001FF0003F00003FF0001F800077F8000FC000E7FC0003F001C7FFE000FC0 F87FFE0003FFE07FFE00007F007F002F467DC436>I<0001FE00000007FFC000001F03F0 00007E00FC0000FC007E0001F8003F0003F0003F0007E0001F800FE0001FC00FC0000FC0 1FC0000FC03F80000FE03F800007E03F800007E07F800007F07F000007F07F000007F0FF 000007F0FF000007F0FF000007F0FFFFFFFFF0FFFFFFFFF0FF00000000FF00000000FF00 000000FF00000000FF00000000FF000000007F000000007F000000007F800000007F8000 00003F800000003F800000301FC00000301FC00000700FC00000600FE00000E007F00000 C003F00001C001F800038000FC000700003E001E00001F80F8000003FFE0000000FF0000 242E7DAC2B>I<00000FE00000007FF8000001F81E000003F03F00000FE07F80001FC0FF 80001F80FF80003F80FF80007F00FF80007F00FF80007F007F0000FE001C0000FE000000 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000 FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE000000FFFF FF8000FFFFFF8000FFFFFF800000FE00000000FE00000000FE00000000FE00000000FE00 000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0000 0000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE000000 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000 FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE 00000000FE00000000FE00000001FF8000007FFFFF00007FFFFF00007FFFFF000021467E C51E>I<000000000F800001FC007FE0000FFF81F0F0003F07E381F000FC01FF03F001F8 00FE01F003F0007E01E007F0007F000007E0003F00000FE0003F80000FC0001F80001FC0 001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0 001FC0001FC0001FC0001FC0001FC0000FC0001F80000FE0003F800007E0003F000007F0 007F000003F0007E000001F800FC000001FC01F8000003BF07E00000030FFF8000000701 FC0000000700000000000700000000000F00000000000F00000000000F00000000000F80 0000000007C00000000007E00000000007FFFFF8000003FFFFFF000003FFFFFFE00001FF FFFFF800007FFFFFFC0001FFFFFFFE0007C0000FFF000F800000FF003F0000003F803E00 00001F807C0000000FC07C0000000FC0F800000007C0F800000007C0F800000007C0F800 000007C0F800000007C0FC0000000FC07C0000000F807E0000001F803E0000001F001F00 00003E000F8000007C0007E00001F80001F80007E000007F003F8000001FFFFE00000001 FFE000002C427DAC31>I<01FC00000000FFFC00000000FFFC00000000FFFC0000000007 FC0000000003FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC01FE000001FC07FFC00001FC1E07F00001 FC3801F80001FC7001FC0001FCE000FC0001FDC000FE0001FD8000FE0001FF80007F0001 FF00007F0001FF00007F0001FE00007F0001FE00007F0001FE00007F0001FC00007F0001 FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001 FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001 FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001 FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001 FC00007F0003FE0000FF80FFFFF83FFFFEFFFFF83FFFFEFFFFF83FFFFE2F457DC436>I< 01E00007F80007F8000FFC000FFC000FFC000FFC0007F80007F80001E000000000000000 00000000000000000000000000000000000000000000000000000000000000000001FC00 FFFC00FFFC00FFFC0007FC0003FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00 01FC0001FC0001FC0003FE00FFFFF8FFFFF8FFFFF815437DC21C>I<00003C000000FF00 0000FF000001FF800001FF800001FF800001FF800000FF000000FF0000003C0000000000 000000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000007F80003FFF80003FFF80003FFF800000FF8000007F80 00003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F80 00003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F80 00003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F80 00003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F80 00003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F80 00003F803E003F807F003F80FF807F00FF807F00FF807E00FF807E00FF80FC007F00F800 3C01F0001E03E00007FF800001FE0000195785C21E>I<01FC00000000FFFC00000000FF FC00000000FFFC0000000007FC0000000003FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC001FFFE001FC001FFFE001FC001FFFE001FC000FFF0001FC0007F80001FC0007E00001 FC0007C00001FC0007800001FC000E000001FC001C000001FC0038000001FC0070000001 FC00E0000001FC01C0000001FC0380000001FC0700000001FC0F00000001FC3F80000001 FC7FC0000001FCFFC0000001FDCFE0000001FF8FF0000001FF07F0000001FE03F8000001 FC03FC000001FC01FC000001FC00FE000001FC00FF000001FC007F000001FC003F800001 FC003FC00001FC001FC00001FC000FE00001FC000FF00001FC0007F00001FC0007F80001 FC0003FC0001FC0003FE0001FC0003FF0003FE0007FF80FFFFF81FFFF8FFFFF81FFFF8FF FFF81FFFF82D457DC433>I<01FC00FFFC00FFFC00FFFC0007FC0003FC0001FC0001FC00 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0003FE00FFFFF8FFFFF8 FFFFF815457DC41C>I<01FC00FF00001FE00000FFFC07FFE000FFFC0000FFFC0F03F801 E07F0000FFFC3C01FC07803F800007FC7000FE0E001FC00003FCE0007E1C000FC00001FD C0007F38000FE00001FD80007F30000FE00001FF80003FF00007F00001FF00003FE00007 F00001FF00003FE00007F00001FE00003FC00007F00001FE00003FC00007F00001FE0000 3FC00007F00001FC00003F800007F00001FC00003F800007F00001FC00003F800007F000 01FC00003F800007F00001FC00003F800007F00001FC00003F800007F00001FC00003F80 0007F00001FC00003F800007F00001FC00003F800007F00001FC00003F800007F00001FC 00003F800007F00001FC00003F800007F00001FC00003F800007F00001FC00003F800007 F00001FC00003F800007F00001FC00003F800007F00001FC00003F800007F00001FC0000 3F800007F00001FC00003F800007F00001FC00003F800007F00001FC00003F800007F000 01FC00003F800007F00001FC00003F800007F00001FC00003F800007F00001FC00003F80 0007F00001FC00003F800007F00003FE00007FC0000FF800FFFFF81FFFFF03FFFFE0FFFF F81FFFFF03FFFFE0FFFFF81FFFFF03FFFFE04B2C7DAB52>I<01FC01FE0000FFFC07FFC0 00FFFC1E07F000FFFC3801F80007FC7001FC0003FCE000FC0001FDC000FE0001FD8000FE 0001FF80007F0001FF00007F0001FF00007F0001FE00007F0001FE00007F0001FE00007F 0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F 0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F 0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F 0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F 0001FC00007F0001FC00007F0003FE0000FF80FFFFF83FFFFEFFFFF83FFFFEFFFFF83FFF FE2F2C7DAB36>I<00007F8000000003FFF00000000FC0FC0000003E001F0000007C000F 800000F80007C00001F00003E00003E00001F00007C00000F8000FC00000FC000FC00000 FC001F8000007E003F8000007F003F8000007F003F0000003F007F0000003F807F000000 3F807F0000003F807F0000003F80FF0000003FC0FF0000003FC0FF0000003FC0FF000000 3FC0FF0000003FC0FF0000003FC0FF0000003FC0FF0000003FC0FF0000003FC0FF000000 3FC07F0000003F807F0000003F807F8000007F803F8000007F003F8000007F001F800000 7E001FC00000FE000FC00000FC000FE00001FC0007E00001F80003F00003F00001F80007 E00000FC000FC000003E001F0000001FC0FE00000007FFF8000000007F8000002A2E7DAC 31>I<01FC03FC0000FFFC0FFF8000FFFC3C07E000FFFC7001F80007FDE000FE0001FD80 007F0001FF80003F8001FF00001FC001FE00001FE001FC00000FE001FC00000FF001FC00 0007F001FC000007F801FC000003F801FC000003FC01FC000003FC01FC000003FC01FC00 0001FE01FC000001FE01FC000001FE01FC000001FE01FC000001FE01FC000001FE01FC00 0001FE01FC000001FE01FC000001FE01FC000001FE01FC000001FE01FC000003FC01FC00 0003FC01FC000003FC01FC000007F801FC000007F801FC000007F001FC00000FF001FE00 000FE001FE00001FC001FF00003FC001FF00003F8001FF80007E0001FDC000FC0001FCF0 03F80001FC3C0FE00001FC1FFF800001FC03FC000001FC0000000001FC0000000001FC00 00000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC00 00000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000003FE00 000000FFFFF8000000FFFFF8000000FFFFF80000002F3F7DAB36>I<00007F8003000003 FFE00700000FE0780700003F801C0F00007E000E0F0000FC00071F0003F800039F0007F8 0001BF0007F00001FF000FE00000FF001FE00000FF001FC00000FF003FC000007F003FC0 00007F007F8000007F007F8000007F007F8000007F00FF0000007F00FF0000007F00FF00 00007F00FF0000007F00FF0000007F00FF0000007F00FF0000007F00FF0000007F00FF00 00007F00FF0000007F00FF0000007F007F8000007F007F8000007F007F8000007F003F80 00007F003FC000007F001FC000007F001FE00000FF000FE00000FF000FF00001FF0007F0 0001FF0003F80003FF0001FC00077F0000FE000E7F00003F001C7F00000FC0F87F000003 FFE07F0000007F007F00000000007F00000000007F00000000007F00000000007F000000 00007F00000000007F00000000007F00000000007F00000000007F00000000007F000000 00007F00000000007F00000000007F00000000007F0000000000FF800000003FFFFE0000 003FFFFE0000003FFFFE2F3F7DAB33>I<03F803F0FFF81FFCFFF83C3EFFF8707F07F8E0 FF03F9C0FF01F980FF01FB80FF01FB007E01FB003C01FF000001FE000001FE000001FE00 0001FE000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC00 0001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC00 0001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000003FF00 00FFFFFE00FFFFFE00FFFFFE00202C7DAB26>I<003FE01801FFFC3807E01F780F0003F8 1E0001F83C0000F87C00007878000078F8000038F8000038F8000018F8000018FC000018 FC000018FE000018FF8000007FC000007FFC00003FFFE0001FFFFC000FFFFF0007FFFFC0 03FFFFE000FFFFF0001FFFF80000FFF800000FFC000003FCC00001FEC00000FEC000007E E000007EE000003EE000003EF000003EF000003EF000003EF800003CFC00007CFC000078 FE0000F8FF0001F0F38003E0F1F00F80E07FFE00C00FF0001F2E7DAC26>I<0006000000 060000000600000006000000060000000E0000000E0000000E0000000E0000001E000000 1E0000001E0000003E0000007E0000007E000000FE000001FE000007FE00001FFFFFF0FF FFFFF0FFFFFFF000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000C00FE000C00FE000C00 FE000C00FE000C00FE000C00FE000C00FE000C00FE000C00FE000C007E001C007F001800 7F0018003F0038001F8030001FC0700007E0E00001FFC000007F001E3E7EBC26>I<01FC 00007F00FFFC003FFF00FFFC003FFF00FFFC003FFF0007FC0001FF0003FC0000FF0001FC 00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC 00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC 00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC 00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC 00007F0001FC00007F0001FC0000FF0001FC0000FF0001FC0000FF0001FC0001FF0001FC 0001FF0000FC0001FF0000FE0003FF00007E00077F80007F000E7FC0003F001C7FFE000F C0787FFE0003FFF07FFE00007F807F002F2D7DAB36>IIIII<3FFFFFFFE03FFFFFFFE03FC0003FE03F00003FC03C 00007F80380000FF00380000FF00300001FE00700003FC00700003FC00700007F8006000 0FF00060000FF00060001FE00060003FC00060003FC00000007F80000000FF00000001FF 00000001FE00000003FC00000007FC00000007F80000000FF00000001FF00000001FE000 60003FC00060007F800060007F80006000FF0000C001FE0000C001FE0000C003FC0000C0 07F80000C007F80001C00FF00001C01FE00003C01FE00003C03FC00007807F80001F80FF 8000FF80FFFFFFFF80FFFFFFFF80232B7DAA2B>II<00F8000203FE000707FF800E0FFFE01C1F1FF8F83807FFF07001FFE0E0007FC0 40001F00200978C131>126 D<1E0007807F000FE0FF801FF0FFC03FF0FFC03FF0FFC03F F0FFC03FF0FF801FF07F000FE01E0007801C0A76C231>I E /FC 13 113 df0 D<60000000C0E0000001C0F0000003C078000007803C00000F001E00001E000F00003C00 078000780003C000F00001E001E00000F003C0000078078000003C0F0000001E1E000000 0F3C00000007F800000003F000000001E000000003F000000007F80000000F3C0000001E 1E0000003C0F0000007807800000F003C00001E001E00003C000F00007800078000F0000 3C001E00001E003C00000F007800000780F0000003C0E0000001C060000000C0222376A1 37>2 D<000C0000001E0000001E0000001E0000001E0000001E0000601E0180781E0780 FC0C0FC07F0C3F803F8C7F0007CCF80001FFE000007F8000001E0000007F800001FFE000 07CCF8003F8C7F007F0C3F80FC0C0FC0781E0780601E0180001E0000001E0000001E0000 001E0000001E0000000C00001A1D7C9E23>I<0000030000000000038000000000038000 000000038000000000038000000000038000000000038000000000038000000000038000 000000038000000000038000000000038000000000038000000000038000000000038000 000000038000000000038000000000038000000000038000000000038000000000038000 00000003800000FFFFFFFFFFFCFFFFFFFFFFFCFFFFFFFFFFFC0000038000000000038000 000000038000000000038000000000038000000000038000000000038000000000038000 000000038000000000038000000000038000000000038000000000038000000000038000 00000003800000000003800000000003800000000003800000000003800000FFFFFFFFFF FCFFFFFFFFFFFCFFFFFFFFFFFC2E2F7CAD37>6 D<0000000001C00000000007C0000000 001FC0000000007F0000000001FC0000000007F0000000001FC0000000007F0000000001 FC0000000007F0000000000FC0000000003F0000000000FC0000000003F8000000000FE0 000000003F8000000000FE0000000003F8000000000FE0000000003F8000000000FE0000 000000F80000000000FE00000000003F80000000000FE00000000003F80000000000FE00 000000003F80000000000FE00000000003F80000000000FC00000000003F00000000000F C00000000007F00000000001FC00000000007F00000000001FC00000000007F000000000 01FC00000000007F00000000001FC00000000007C00000000001C0000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000007FFFFF FFFF80FFFFFFFFFFC0FFFFFFFFFFC02A3B7AAB37>20 D<00000000000E00000000000000 0E000000000000000E000000000000000F00000000000000070000000000000007800000 00000000038000000000000003C000000000000001C000000000000001E0000000000000 00F00000000000000078000000000000007C000000000000003E000000000000000F0000 000000000007C0FFFFFFFFFFFFFFF8FFFFFFFFFFFFFFFCFFFFFFFFFFFFFFF80000000000 0007C00000000000000F000000000000003E000000000000007C00000000000000780000 0000000000F000000000000001E000000000000001C000000000000003C0000000000000 0380000000000000078000000000000007000000000000000F000000000000000E000000 000000000E000000000000000E00003E237CA147>33 D<007800FE01FE01FE01FE03FE03 FC03FC03FC07F807F807F807F007F00FE00FE00FE00FC01FC01F801F801F803F003F003F 003E007E007C007C007C00F800F800F800F0000F227EA413>48 D<003F80000007F00000 FFF000003FFC0003FFFC0000FFFF0007FFFF0001F807800F80FF8007C001C01E003FC00F 8000E03C001FE01F00007038000FF03E000030700007F83C000038700003FC7800001860 0001FEF0000018E00000FFE000001CC000007FE000000CC000007FC000000CC000003FC0 00000CC000001FE000000CC000000FF000000CC000000FF800000CC000001FF800000CE0 00001FFC00001C6000003DFE00001860000078FF000038700000F07F800038300001F03F C00070380003E01FE000F01C0007C00FF001E00E000F8007FC07C007807E0003FFFF8003 FFFC0000FFFF0000FFF000003FFC00003F80000007F0003E1F7C9D47>I<0000FFFFC000 07FFFFC0001FFFFFC0007F80000000FC00000001F000000003C000000007800000000F00 0000000E000000001E000000003C00000000380000000078000000007000000000700000 0000F000000000E000000000E000000000E000000000FFFFFFFFC0FFFFFFFFC0FFFFFFFF C0E000000000E000000000E000000000F000000000700000000070000000007800000000 38000000003C000000001E000000000E000000000F00000000078000000003C000000001 F000000000FC000000007F800000001FFFFFC00007FFFFC00000FFFFC0222B7AA52F>I< 000000FF8000000FFFE000003FFFF00000FFFFF00001E01FF000078007F0000F0003F000 1E0003E0003E0003E0003C000380007C000700007C00000000FC00000000FE00000000FE 00000000FF00000000FF800000007FE00000007FFC0000003FFFC000001FFFC0000007FF 00000007FE0000001F800000003C00000000F000000001E000000003C000000007800000 000F000000001F000000001E000000003E000000003C000000007C000000007C00000300 FC00000F00FE00001E00FE00003C00FF00007800FF8000F0007FE001C0007FF80F80003F FFFE00001FFFFC000007FFE0000001FE000000242F7EAD25>69 D<0000000000000001F0 000000000000000FF0000000000000003FF0000000000000007FF000000000000000FFF0 00000000000001FFE0000001C0000001FFC0000003C0000003F800000007E0000003C000 000007E00000030000000007E00000060000000007F0000006000000000FF00000060000 00000FF000000C000000000FF800000C000000000DF800000C000000000DF800001C0000 00000CFC000018000000001CFC000018000000001CFC000018000000001C7E0000380000 0000187E00003000000000187E00003000000000183F00003000000000383F0000600000 0000303F80006000000000301F80006000000000301F8000E000000000700FC000C00000 0000600FC000C000000000600FE000C0000000006007E001C000000000C007E001800000 0000C003F0018000000000C003F00180000000018003F80380000000018001F803000000 00018001F80300000000030000FC0300000000030000FC0700000000030000FE06000000 000600007E06000000000600007F06000000000600003F0E000000000C00003F8E000000 000C00001FCC000000301C00001FCC0000003C3800000FEC0000007FF8000007FC000000 7FF0000007F8000000FFE0000003F8000000FFE0000001F80000007FC0000001F0000000 3F80000000000000000F0000000000000000443782B33A>78 D106 D<00000000000003000000000000070000000000000F0000000000000E0000000000001E 0000000000001C0000000000003C00000000000038000000000000780000000000007000 0000000000F0000000000000E0000000000001E0000000000003C0000000000003800000 00000007800000000000070000000000000F0000000000000E0000000000001E00000000 00001C0000000000003C0000000000003800000000000078000000000000700000000000 00F0000000000000E0000000000001E0000000000001C0000000000003C0000000000003 80000000000007800000C0000007000001E000000F000007E000001E00000FF000001C00 003FF000003C000073F80000380000E3F8000078000001FC000070000001FC0000F00000 00FE0000E0000000FE0001E00000007F0001C00000007F0003C00000003F800380000000 3F8007800000001FC007000000001FC00F000000000FE00E000000000FE01E0000000007 F01C0000000007F03C0000000003F8380000000003F8780000000001FCF00000000001FC E00000000000FFE00000000000FFC000000000007FC000000000007F8000000000003F80 00000000003F0000000000001F0000000000001E0000000000000E0000000038427C823B >112 D E /FD 10 121 df<00003FC000000000FFF800000007E07C0000000F801F0000 003F001F800C007E000F800C00FC0007C01C01F80007E01803F00007E01807E00003E038 0FE00003F0300FC00003F0301FC00003F0703F800003F0603F800003F0E07F800003F0C0 7F000003F1C07F000003F1807F000003F380FF000003F300FE000003F700FE000003FE00 FE000003FC00FE000003FC00FC000003F800FC000003F000FC000003F000FC000003F000 FC000003F0007E000007F0007E00000FF0003E00001DF8183F000079F8181F0000E1F838 0F8007C0F83007E03F007CF001FFF8003FC0003FC0000F802E267DA435>11 D<0007F0000000001FFC000030007FFE00007000FFFF00006003FFFF8000E007FFFFC000 C007F01FC001C00F8007E001801F0001E003801C0000F003003800007007003800007006 00700000300E00600000380C00600000181C00E000001818000000001C18000000000C38 000000000C30000000000C70000000000C60000000000CE0000000000CC0000000000CC0 000000000DC0000000000D80000000000D80000000000F80000000000F00000000000F00 000000000E00000000000E00000000000E00000000000C00000000000C00000000000C00 000000001C00000000001C00000000001800000000003800000000003800000000003800 00000000380000000000700000000000700000000000700000000000700000000000E000 00000000E00000000000E00000000000E00000000001C00000000001C00000000001C000 000000018000002C377FA42B>13 D<000006000000000600000000060000000006000000 000600000000060000000007FFC000000FFFE000003F80600000FDFFE00003F87F800007 F00000000FE00000001FC00000003F800000007F800000007F00000000FF00000000FE00 000001FE00000001FE00000001FC00000001FC00000001FC00000001FC00000001FC0000 0000FC00000000FE000000007E000000003F3FF000001FFFFC00000FC01C00001FFFF800 003C7FE00000F000000001E000000003C0000000078000000007800000000F000000001E 000000001E000000003C000000003C000000007C00000000780000000078000000007800 000000F800000000FC00000000FC000000007E000000007F000000007F800000003FE000 00003FFC0000001FFF0000000FFFE0000007FFF8000001FFFF0000007FFFC000000FFFF0 000003FFF80000007FF80000000FF800000003F800000000F800000000F800000000F800 000000F800000C00F000000E01F000000783E0000001FF800000007E0000234B7EB924> 24 D<003FFFFFFFE000FFFFFFFFF001FFFFFFFFF007FFFFFFFFF007FFFFFFFFE00F8070 0600001E00600E00003C00600C00003800E00C00007000C00C0000E000C01C0000C001C0 1C00000001C01C00000001801C0000000380380000000380380000000780380000000700 380000000700380000000F00380000000F00780000001E007C0000001E007C0000001E00 7C0000003E007C0000003C007C0000007C007C0000007C007E000000FC007E000000F800 7E000001F8007E000001F8007F000003F8007F000003F0003F000003F0003F000003F000 3F000001C0001C00002C257EA32F>I<00003FE0000001FFFC000007FFFF00001FFFFF80 007F801FC000F80007C001E00003C003C000000007000000000700000000060000000006 000000000600000000060000000006000000000700F00000039FFF000001FF0F000001FF FF0000039FFE000007000000000E000000001C0000000038000000003000000000700000 000060000000006000000000E000000000E000000000E0000008006000001C0070000018 0078000038003C0000F0001F8007E0000FFFFFC00007FFFF000001FFFC0000003FE00000 22287FA527>34 D<1C007F00FF80FF80FFC0FFC0FFC07FC01CC000C000C000C000C001C0 0180018003800300070006000E001C003800700060000A19798817>59 D<00007E00000003FF8000000FC1C380001F00EFC0007E007FC000FC003FC001F8003FC0 03F0001F8007F0001F8007E0001F800FE0003F801FC0003F001FC0003F003F80003F003F 80007F007F80007E007F00007E007F00007E007F0000FE00FF0000FC00FE0000FC00FE00 00FC00FE0001FC00FE0001F800FC0001F80CFC0001F80CFC0003F80CFC0003F01CFC0003 F018FC0007F0187C0007F0387E000FF0303E001FF0303E007BF0701F00E1F0E00F83C0F9 C003FF007F8000FC001F0026267DA42C>97 D<003F00001FFF00001FFF00001FFF000000 7F0000007E0000007E0000007E000000FE000000FC000000FC000000FC000001FC000001 F8000001F8000001F8000003F8000003F0000003F0000003F0000007F0000007E0FC0007 E3FF0007E707C00FFE03E00FF801F00FF001F80FE000F81FC000F81FC000FC1F8000FC1F 8000FC3F8000FC3F0000FC3F0000FC3F0001FC7F0001FC7E0001FC7E0001FC7E0003FCFE 0003FCFC0003F8FC0003F8FC0007F8FC0007F0F80007F0F8000FE0F8000FE0F8000FC0F8 001F80F8003F8078003F007C007E007C00FC003C01F8001E03F0000F07C00007FF000001 FC00001E3B7CB924>I<00003FC00001FFF00007E03C000F800E003F0007007E001F00FC 007F01F800FF03F000FF07E000FF0FE000FF0FC000FE1FC000383F8000003F8000007F80 00007F0000007F0000007F000000FF000000FE000000FE000000FE000000FE000000FC00 0000FC000000FC000000FC000003FC0000077E0000067E00000E3E00003C3F0000701F00 00E00F8007C007C03F0001FFF800003FC00020267DA424>I<0007E001F000001FF807FC 0000783E0E0F0000E01F1C1F0001C01F383F8003800FF07F8003000FE0FF8007000FE0FF 800E000FC0FF000C000FC07E000C001FC03C001C001F80000018001F80000018001F8000 0000003F80000000003F80000000003F00000000003F00000000007F00000000007F0000 0000007E00000000007E0000000000FE0000000000FE0000000000FC000C000000FC000C 000001FC001C001E01FC0018003F01F80018007F81F80038007F83F8007000FF83F80060 00FF07F800E000FE0E7C01C0007C1C7C03800078383E0F00001FF00FFC000007C003F000 0029267EA42F>120 D E /FE 1 4 df<000380000007C0000007C0000007C0000007C000 0007C0000007C0000007C0007803803CFC03807EFE0380FE7F8383FC3FC387F80FE38FE0 03FBBF8000FFFE00003FF800000FE000000FE000003FF80000FFFE0003FBBF800FE38FE0 3FC387F87F8383FCFE0380FEFC03807E7803803C0007C0000007C0000007C0000007C000 0007C0000007C0000007C000000380001F247BA62A>3 D E /FF 27 119 df<7C0000FE0000FF0000FF8000FF8000FFC0007FE0003FF0001FF0000FF80007 FC0001FE0000FE00007F00003F80001FC0000FC00007E00001F00000F000007800003015 1673D23B>18 D<000000E0000001E0000003C00000078000000F0000001E0000003C0000 007C000000F8000001F0000003F0000003E0000007C000000FC000000F8000001F800000 1F0000003E0000007E0000007E000000FC000000FC000001F8000001F8000001F0000003 F0000003F0000007E0000007E0000007E000000FE000000FC000000FC000001FC000001F C000001F8000001F8000003F8000003F8000003F0000003F0000003F0000007F0000007F 0000007F0000007F0000007F0000007E0000007E0000007E000000FE000000FE000000FE 000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE 000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE 0000007E0000007E0000007E0000007F0000007F0000007F0000007F0000007F0000003F 0000003F0000003F0000003F8000003F8000001F8000001F8000001FC000001FC000000F C000000FC000000FE0000007E0000007E0000007E0000003F0000003F0000001F0000001 F8000001F8000000FC000000FC0000007E0000007E0000003E0000001F0000001F800000 0F8000000FC0000007C0000003E0000003F0000001F0000000F80000007C0000003C0000 001E0000000F0000000780000003C0000001E0000000E01B7974D92E>40 DI<0F003FC07FE0FFE0FFF0FFF0 FFF8FFF8FFF87FF83FF80F3800380038003800380038007800700070007000F000E000E0 01E001C003C0038007800F001E001E003C00780030000D23768B21>44 D<000007000000000F000000001F000000007F00000000FF00000007FF0000003FFF0000 0FFFFF0000FFFFFF0000FFF9FF0000FFC1FF0000F001FF00000001FF00000001FF000000 01FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001 FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF 00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00 000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF0000 0001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF000000 01FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001 FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF 00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00 000001FF00000003FF8000000FFFE000FFFFFFFFFEFFFFFFFFFEFFFFFFFFFEFFFFFFFFFE 274F75CE3B>49 D<000000000F0000000000001F0000000000001F0000000000003F0000 000000007F0000000000007F000000000000FF000000000001FF000000000001FF000000 000003FF000000000007FF000000000007FF00000000000FFF00000000001EFF00000000 001CFF00000000003CFF000000000078FF000000000070FF0000000000F0FF0000000001 E0FF0000000001C0FF0000000003C0FF000000000380FF000000000700FF000000000F00 FF000000000E00FF000000001C00FF000000003C00FF000000003800FF000000007000FF 00000000F000FF00000000E000FF00000001C000FF00000003C000FF000000038000FF00 0000078000FF0000000F0000FF0000000E0000FF0000001E0000FF0000003C0000FF0000 00380000FF000000780000FF000000F00000FF000000E00000FF000001E00000FF000003 C00000FF000003800000FF000007800000FF00000F000000FF00000E000000FF00001E00 0000FF00003C000000FF000038000000FF000078000000FF0000F0000000FF0000FFFFFF FFFFFFF0FFFFFFFFFFFFF0FFFFFFFFFFFFF0FFFFFFFFFFFFF000000001FF000000000001 FF000000000001FF000000000001FF000000000001FF000000000001FF000000000001FF 000000000001FF000000000001FF000000000001FF000000000001FF000000000001FF00 0000000001FF000000000001FF000000000001FF000000000003FF800000000007FFC000 00000FFFFFFFE000000FFFFFFFE000000FFFFFFFE000000FFFFFFFE034507DCF3B>52 D<00001FF800000000FFFF00000003FFFFE000000FF00FF800001F8001FC00007E0000FE 0000FC00003F8001F000001F8003F000000FC003E000000FE007C0000007E007C0000003 F00FC0000003F00F80000003F80F80000001F81F80000001F81F80000001F81F80000001 F81FC0000001F81FC0000001F81FC0000001F81FE0000003F81FF0000003F01FF8000003 F00FFC000007E00FFE000007E00FFF80000FC007FFC0001FC007FFF0003F8003FFF8003F 0001FFFE007E0001FFFF01FC0000FFFFC3F000007FFFE7E000001FFFFF8000000FFFFE00 000003FFFF00000001FFFF800000007FFFE0000000FFFFF0000003FFFFFC00000FC7FFFE 00003F81FFFF00007E00FFFFC000FC003FFFC001F8001FFFE003F00007FFF007E00003FF F80FC00000FFF81FC000007FFC1F8000001FFC3F0000000FFE3F00000007FE7E00000003 FE7E00000001FF7E00000000FFFE00000000FFFC000000007FFC000000007FFC00000000 3FFC000000003FFC000000003FFC000000003FFC000000003FFE000000003E7E00000000 3E7E000000007E7F000000007C3F00000000FC3F80000000F81FC0000001F80FE0000003 F00FF0000007E007F800000FC003FC00003F8000FF0000FF00007FE007FC00001FFFFFF8 000007FFFFE0000001FFFF000000001FF8000030517BCE3B>56 D<00001FF800000000FF FF00000003FFFFC000000FF00FE000001FC003F800007F8001FC0000FE0000FE0001FE00 007F0003FC00003F8003F800003F8007F800001FC00FF000001FE01FF000000FE01FE000 000FF03FE000000FF03FE0000007F07FE0000007F87FC0000007F87FC0000007F87FC000 0007FCFFC0000007FCFFC0000007FCFFC0000003FCFFC0000003FEFFC0000003FEFFC000 0003FEFFC0000003FEFFC0000003FEFFC0000003FEFFC0000003FFFFC0000003FFFFC000 0003FFFFC0000007FF7FC0000007FF7FC0000007FF7FC0000007FF7FE0000007FF3FE000 000FFF3FE000000FFF1FE000000FFF1FF000001FFF0FF000001BFF07F000003BFF07F800 003BFF03FC000073FF01FC0000E3FF00FE0001E3FF007F0003C3FF003FC00F83FE000FFF FF03FE0003FFFC03FE0000FFF003FE0000000003FE0000000007FE0000000007FC000000 0007FC0000000007FC0000000007F80000000007F8000000000FF8000000000FF0000000 000FF0000000001FF003C000001FE00FF000001FE01FF800003FC01FF800003F801FF800 007F801FF800007F001FF80000FE001FF80001FE001FF00003FC000FC00007F8000F0000 0FF0000780001FE00007E0003FC00003FC01FF000001FFFFFE0000007FFFF80000001FFF E000000003FF00000030517BCE3B>I66 D<000000001FFC00000300000001FFFFC000070000000FFFFFF0000F000000 7FFFFFFC000F000001FFF800FF001F000007FF80001FC01F00000FFE000007E03F00003F F8000001F07F00007FE0000000F87F0001FF800000003CFF0003FF000000001EFF0007FE 000000000FFF000FFC0000000007FF001FF80000000007FF003FF00000000003FF007FE0 0000000001FF007FC00000000001FF00FFC00000000000FF01FF8000000000007F01FF00 00000000007F03FF0000000000003F07FE0000000000003F07FE0000000000003F0FFC00 00000000001F0FFC0000000000001F1FFC0000000000001F1FF80000000000000F1FF800 00000000000F3FF80000000000000F3FF80000000000000F3FF0000000000000077FF000 0000000000077FF0000000000000077FF0000000000000077FF0000000000000007FE000 000000000000FFE000000000000000FFE000000000000000FFE000000000000000FFE000 000000000000FFE000000000000000FFE000000000000000FFE000000000000000FFE000 000000000000FFE000000000000000FFE000000000000000FFE000000000000000FFE000 000000000000FFE000000000000000FFE0000000000000007FE0000000000000007FF000 0000000000007FF0000000000000007FF0000000000000007FF0000000000000073FF000 0000000000073FF8000000000000073FF8000000000000071FF8000000000000071FF800 0000000000071FFC0000000000000F0FFC0000000000000E0FFC0000000000000E07FE00 00000000000E07FE0000000000001E03FF0000000000001C01FF0000000000003C01FF80 00000000003C00FFC0000000000078007FC0000000000078007FE00000000000F0003FF0 0000000001E0001FF80000000001E0000FFC0000000003C00007FE0000000007800003FF 000000000F000001FF800000001E0000007FE00000007C0000003FF8000000F80000000F FE000003F000000007FF80000FE000000001FFF800FF80000000007FFFFFFE0000000000 0FFFFFF8000000000001FFFFE00000000000001FFE00000048567AD355>I<000000007F F80000000000000007FFFF800000000000003FFFFFF0000000000000FFC00FFC00000000 0003FE0001FF00000000000FF800007FC0000000003FE000001FF0000000007F80000007 F800000000FF00000003FC00000001FE00000001FE00000003FC00000000FF00000007F8 000000007F8000000FF0000000003FC000001FE0000000001FE000003FC0000000000FF0 00007FC0000000000FF80000FF800000000007FC0000FF000000000003FC0001FF000000 000003FE0003FE000000000001FF0003FE000000000001FF0007FC000000000000FF8007 FC000000000000FF800FFC000000000000FFC00FF80000000000007FC01FF80000000000 007FE01FF80000000000007FE01FF80000000000007FE03FF00000000000003FF03FF000 00000000003FF03FF00000000000003FF07FF00000000000003FF87FF00000000000003F F87FE00000000000001FF87FE00000000000001FF87FE00000000000001FF8FFE0000000 0000001FFCFFE00000000000001FFCFFE00000000000001FFCFFE00000000000001FFCFF E00000000000001FFCFFE00000000000001FFCFFE00000000000001FFCFFE00000000000 001FFCFFE00000000000001FFCFFE00000000000001FFCFFE00000000000001FFCFFE000 00000000001FFCFFE00000000000001FFCFFE00000000000001FFC7FF00000000000003F F87FF00000000000003FF87FF00000000000003FF87FF00000000000003FF87FF0000000 0000003FF83FF00000000000003FF03FF80000000000007FF03FF80000000000007FF01F F80000000000007FE01FF80000000000007FE01FFC000000000000FFE00FFC0000000000 00FFC00FFC000000000000FFC007FE000000000001FF8007FE000000000001FF8003FE00 0000000001FF0003FF000000000003FF0001FF000000000003FE0000FF800000000007FC 0000FFC0000000000FFC00007FC0000000000FF800003FE0000000001FF000001FF00000 00003FE000001FF0000000003FE000000FF8000000007FC0000007FC00000000FF800000 03FE00000001FF00000000FF00000003FC000000007FC000000FF8000000003FE000001F F0000000000FF800007FC00000000003FE0001FF000000000000FFC00FFC000000000000 3FFFFFF000000000000007FFFF80000000000000007FF8000000004E567AD35B>79 DI86 D89 D<0000FFC0000000000FFFF8000000003FFFFE00000000FF00FF80000001F0003FE00000 03C0000FF0000007E00007F8000007F80003FC00000FF80003FE00000FFC0001FE00000F FC0000FF00000FFC0000FF00000FFC0000FF00000FFC00007F800007F800007F800001E0 00007F8000000000007F8000000000007F8000000000007F8000000000007F8000000000 007F8000000000007F80000000003FFF800000000FFFFF80000000FFFC7F80000007FF00 7F8000001FF0007F8000007FC0007F800001FF00007F800003FC00007F800007F800007F 80000FF000007F80001FE000007F80003FE000007F80003FC000007F80007F8000007F80 007F8000007F8070FF8000007F8070FF0000007F8070FF0000007F8070FF000000FF8070 FF000000FF8070FF000000FF8070FF000001FF8070FF800001BF80707F800003BF80707F C000073F80703FE0000F1FC0E01FF0001E1FC0E00FF8003C0FE1C007FE01F00FFFC001FF FFE007FF80007FFF8003FE000007FC0000F80034367BB43B>97 D<007F800000000000FF FF800000000000FFFF800000000000FFFF800000000000FFFF80000000000003FF800000 00000000FF800000000000007F800000000000007F800000000000007F80000000000000 7F800000000000007F800000000000007F800000000000007F800000000000007F800000 000000007F800000000000007F800000000000007F800000000000007F80000000000000 7F800000000000007F800000000000007F800000000000007F800000000000007F800000 000000007F800000000000007F800000000000007F800000000000007F80000000000000 7F800000000000007F800000000000007F800000000000007F8007FC000000007F807FFF 800000007F81FFFFE00000007F87F00FF80000007F8F8001FC0000007F9E0000FF000000 7FBC00007F8000007FF800003FC000007FF000001FE000007FE000000FF000007FC00000 07F000007FC0000007F800007F80000003FC00007F80000003FC00007F80000003FE0000 7F80000001FE00007F80000001FE00007F80000001FF00007F80000001FF00007F800000 00FF00007F80000000FF00007F80000000FF80007F80000000FF80007F80000000FF8000 7F80000000FF80007F80000000FF80007F80000000FF80007F80000000FF80007F800000 00FF80007F80000000FF80007F80000000FF80007F80000000FF80007F80000000FF0000 7F80000001FF00007F80000001FF00007F80000001FF00007F80000001FE00007F800000 01FE00007F80000003FC00007F80000003FC00007F80000007F800007FC0000007F80000 7FC000000FF000007FE000000FE000007FF000001FC000007E7800003F8000007E3C0000 7F0000007C1E0001FE0000007C0F0003FC0000007807E01FF00000007801FFFFC0000000 70007FFF0000000000000FF800000039547DD241>I<00000FFE000000007FFFE0000001 FFFFF8000007F801FE00001FE0001F00003F80000780007F00000FC000FE00003FC001FC 00003FE003FC00007FE007F800007FE00FF000007FE00FF000007FE01FE000007FE01FE0 00003FC03FE000000F003FC0000000003FC0000000007FC0000000007FC0000000007FC0 000000007F8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF80 00000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF80 000000007F80000000007FC0000000007FC0000000007FC0000000003FC0000000003FE0 000000701FE0000000701FF0000000F00FF0000000E00FF8000001E007F8000001E003FC 000003C003FE0000038001FF0000078000FF80000F00003FC0001E00001FE0007C000007 FC03F0000003FFFFE00000007FFF800000000FF800002C367CB434>I<0000000000FF00 0000000001FFFF000000000001FFFF000000000001FFFF000000000001FFFF0000000000 0007FF00000000000001FF00000000000000FF00000000000000FF00000000000000FF00 000000000000FF00000000000000FF00000000000000FF00000000000000FF0000000000 0000FF00000000000000FF00000000000000FF00000000000000FF00000000000000FF00 000000000000FF00000000000000FF00000000000000FF00000000000000FF0000000000 0000FF00000000000000FF00000000000000FF00000000000000FF00000000000000FF00 000000000000FF00000000000000FF00000000000000FF000000000FF800FF000000007F FF00FF00000001FFFFE0FF00000007FC03F0FF0000001FE0007CFF0000003FC0003EFF00 00007F00000FFF000000FE000007FF000001FC000003FF000003F8000003FF000007F800 0001FF00000FF0000000FF00000FF0000000FF00001FE0000000FF00001FE0000000FF00 003FC0000000FF00003FC0000000FF00007FC0000000FF00007FC0000000FF00007FC000 0000FF00007F80000000FF0000FF80000000FF0000FF80000000FF0000FF80000000FF00 00FF80000000FF0000FF80000000FF0000FF80000000FF0000FF80000000FF0000FF8000 0000FF0000FF80000000FF0000FF80000000FF0000FF80000000FF00007F80000000FF00 007F80000000FF00007FC0000000FF00007FC0000000FF00003FC0000000FF00003FC000 0000FF00003FE0000000FF00001FE0000000FF00001FE0000000FF00000FF0000001FF00 0007F0000003FF000007F8000003FF000003FC000007FF000001FE00000FFF000000FF00 001EFF8000007F80007CFFE000001FC000F8FFFF80000FF807E0FFFF800003FFFF80FFFF 800000FFFE00FFFF8000001FF000FF000039547CD241>I<00000FF800000000FFFF0000 0003FFFFC000000FF80FF000001FC003FC00007F8001FE0000FF0000FF0001FE00007F80 03FC00003F8003F800001FC007F000001FC00FF000000FE00FE000000FE01FE000000FF0 1FE0000007F03FC0000007F03FC0000007F07FC0000007F87FC0000007F87F80000007F8 7F80000003F8FF80000003F8FFFFFFFFFFF8FFFFFFFFFFF8FFFFFFFFFFF8FF8000000000 FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000 FF80000000007F80000000007FC0000000007FC0000000003FC0000000003FC000000000 3FE0000000381FE0000000381FE0000000780FF00000007007F0000000F007F8000000E0 03FC000001E001FE000003C000FF00000380007F80000F80003FC0001F00000FF0003C00 0007FE01F8000001FFFFE00000007FFF8000000007FC00002D367DB434>I<0078000001 FE000003FF000007FF800007FF800007FF800007FF800007FF800007FF800003FF000001 FE0000007800000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 7F8000FFFF8000FFFF8000FFFF8000FFFF800003FF800000FF8000007F8000007F800000 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000 7F8000007F800001FFE000FFFFFF80FFFFFF80FFFFFF80FFFFFF8019507CCF21>105 D<007F8000FFFF8000FFFF8000FFFF8000FFFF800003FF800000FF8000007F8000007F80 00007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F80 00007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F80 00007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F80 00007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F80 00007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F80 00007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F80 00007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F80 00007F8000007F8000007F8000007F8000007F8000007F800001FFE000FFFFFFC0FFFFFF C0FFFFFFC0FFFFFFC01A537CD221>108 D<00FF0007FC000000FFFF003FFF800000FFFF 00FFFFE00000FFFF01F00FF80000FFFF03C007FC000003FF070003FE000000FF0E0001FE 0000007F1C0000FF0000007F380000FF0000007F300000FF0000007F7000007F8000007F 6000007F8000007FE000007F8000007FC000007F8000007FC000007F8000007FC000007F 8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F 8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F 8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F 8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F 8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F 8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F 8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800001FF E00001FFE000FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC0FFFF FFC03A347CB341>110 D<00000FFC00000000007FFF8000000001FFFFE000000007F807 F80000001FE001FE0000003F80007F0000007E00001F800000FC00000FC00001F8000007 E00003F8000007F00007F0000003F80007F0000003F8000FE0000001FC000FE0000001FC 001FC0000000FE001FC0000000FE003FC0000000FF003FC0000000FF007F800000007F80 7F800000007F807F800000007F807F800000007F80FF800000007FC0FF800000007FC0FF 800000007FC0FF800000007FC0FF800000007FC0FF800000007FC0FF800000007FC0FF80 0000007FC0FF800000007FC0FF800000007FC0FF800000007FC07F800000007F807F8000 00007F807FC0000000FF807FC0000000FF803FC0000000FF003FC0000000FF001FC00000 00FE001FE0000001FE000FE0000001FC000FF0000003FC0007F0000003F80003F8000007 F00001FC00000FE00001FC00000FE000007F00003F8000003F80007F0000001FE001FE00 000007F807F800000003FFFFF0000000007FFF80000000000FFC00000032367CB43B>I< 00FF001F80FFFF007FF0FFFF01FFF8FFFF03E1FCFFFF0783FE03FF0F07FE00FF1E07FE00 7F1C07FE007F3807FE007F3007FE007F7003FC007F6000F0007F600000007FE00000007F C00000007FC00000007FC00000007FC00000007F800000007F800000007F800000007F80 0000007F800000007F800000007F800000007F800000007F800000007F800000007F8000 00007F800000007F800000007F800000007F800000007F800000007F800000007F800000 007F800000007F800000007F800000007F800000007F800000007F800000007F80000000 7F800000007F800000007F800000007FC0000001FFE00000FFFFFFF000FFFFFFF000FFFF FFF000FFFFFFF00027347DB32E>114 D<0007FE00C0007FFF81C001FFFFE3C007F803FF C00FC0007FC01F80003FC03F00001FC03E00000FC07E000007C07C000007C0FC000003C0 FC000003C0FC000003C0FC000001C0FE000001C0FE000001C0FF000001C0FF800001C07F C00000007FF00000007FFF0000003FFFF800001FFFFF80000FFFFFE00007FFFFF80003FF FFFE0000FFFFFF00003FFFFF800007FFFFC000003FFFE0000003FFE00000007FF0000000 1FF0E000000FF0E0000007F8E0000007F8F0000003F8F0000003F8F0000001F8F8000001 F8F8000001F8F8000001F8FC000001F0FC000001F0FE000003F0FF000003E0FF000007E0 FF80000FC0FFC0001F80FDF0003F00F8FC01FE00F07FFFF800E01FFFE000C003FF000025 367CB42E>I<0001C000000001C000000001C000000001C000000001C000000001C00000 0001C000000003C000000003C000000003C000000003C000000007C000000007C0000000 07C00000000FC00000000FC00000001FC00000001FC00000003FC00000007FC0000000FF C0000001FFC0000003FFC000001FFFFFFFE0FFFFFFFFE0FFFFFFFFE0FFFFFFFFE0003FC0 0000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC000 00003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000 003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC0000000 3FC00000003FC00000003FC00000003FC00038003FC00038003FC00038003FC00038003F C00038003FC00038003FC00038003FC00038003FC00038003FC00038003FC00038003FC0 0038003FE00078001FE00070001FE00070000FF000F0000FF000E00007F801E00003FC03 C00001FE07800000FFFF0000003FFC00000007F000254B7EC92E>I118 D E /FG 18 86 df45 D<0000000000000780000000000000000000000000 0FC00000000000000000000000000FC00000000000000000000000000FC0000000000000 0000000000001FE00000000000000000000000001FE00000000000000000000000001FE0 0000000000000000000000003FF00000000000000000000000003FF00000000000000000 000000003FF00000000000000000000000007FF80000000000000000000000007FF80000 000000000000000000007FF8000000000000000000000000FFFC00000000000000000000 0000FFFC000000000000000000000001FFFE000000000000000000000001FFFE00000000 0000000000000001FFFE000000000000000000000003FFFF000000000000000000000003 DFFF000000000000000000000003CFFF000000000000000000000007CFFF800000000000 00000000000787FF80000000000000000000000787FF80000000000000000000000F87FF C0000000000000000000000F03FFC0000000000000000000000F03FFC000000000000000 0000001F03FFE0000000000000000000001E01FFE0000000000000000000001E01FFE000 0000000000000000003E01FFF0000000000000000000003C00FFF0000000000000000000 003C00FFF0000000000000000000007800FFF80000000000000000000078007FF8000000 0000000000000078007FF800000000000000000000F0007FFC00000000000000000000F0 003FFC00000000000000000001F0003FFE00000000000000000001E0003FFE0000000000 0000000001E0001FFE00000000000000000003E0001FFF00000000000000000003C0001F FF00000000000000000003C0000FFF00000000000000000007C0000FFF80000000000000 000007800007FF80000000000000000007800007FF8000000000000000000F800007FFC0 00000000000000000F000003FFC000000000000000000F000003FFC00000000000000000 1F000003FFE000000000000000001E000001FFE000000000000000001E000001FFE00000 0000000000003E000001FFF000000000000000003C000000FFF000000000000000003C00 0000FFF0000000000000000078000000FFF80000000000000000780000007FF800000000 00000000780000007FF80000000000000000F00000007FFC0000000000000000F0000000 3FFC0000000000000001F00000003FFE0000000000000001E00000003FFE000000000000 0001E00000001FFE0000000000000003E00000001FFF0000000000000003C00000001FFF 0000000000000003C00000000FFF0000000000000007C00000000FFF8000000000000007 8000000007FF80000000000000078000000007FF800000000000000F8000000007FFC000 00000000000F0000000003FFC00000000000000F0000000003FFC00000000000001F0000 000003FFE00000000000001E0000000001FFE00000000000001E0000000001FFE0000000 0000003FFFFFFFFFFFFFF00000000000003FFFFFFFFFFFFFF00000000000003FFFFFFFFF FFFFF00000000000007FFFFFFFFFFFFFF80000000000007FFFFFFFFFFFFFF80000000000 007800000000007FF8000000000000F000000000007FFC000000000000F000000000003F FC000000000001F000000000003FFE000000000001E000000000003FFE000000000001E0 00000000001FFE000000000003E000000000001FFF000000000003C000000000001FFF00 0000000003C000000000000FFF000000000007C000000000000FFF800000000007800000 00000007FF80000000000780000000000007FF80000000000F80000000000007FFC00000 00000F00000000000003FFC0000000000F00000000000003FFC0000000001F0000000000 0003FFE0000000001E00000000000001FFE0000000001E00000000000001FFE000000000 3E00000000000001FFF0000000003C00000000000000FFF0000000003C00000000000000 FFF0000000007800000000000000FFF80000000078000000000000007FF8000000007800 0000000000007FF800000000F0000000000000007FFC00000000F0000000000000003FFC 00000001F0000000000000003FFE00000001F0000000000000003FFE00000003F0000000 000000001FFE00000003F0000000000000001FFF00000007F0000000000000001FFF0000 000FF0000000000000000FFF0000001FF8000000000000001FFF8000003FFC0000000000 00001FFFC00000FFFE000000000000003FFFE00007FFFF80000000000001FFFFF800FFFF FFF800000000007FFFFFFFFCFFFFFFF800000000007FFFFFFFFCFFFFFFF800000000007F FFFFFFFCFFFFFFF800000000007FFFFFFFFCFFFFFFF800000000007FFFFFFFFC6E7A7CF9 77>65 DI<0000000000007FFC00000001C0 00000000000FFFFFC0000001C00000000000FFFFFFF8000003C00000000003FFFFFFFE00 0003C0000000001FFFFFFFFF800007C0000000007FFFF000FFE00007C000000001FFFE00 000FF0000FC000000007FFF0000003FC000FC00000000FFF80000000FE001FC00000003F FE000000003F001FC00000007FF8000000001F803FC0000001FFF00000000007E03FC000 0003FFC00000000003F07FC0000007FF800000000001F07FC000000FFF000000000000F8 FFC000001FFC0000000000007CFFC000003FF80000000000003FFFC000007FF000000000 00001FFFC00000FFE00000000000001FFFC00001FFE00000000000000FFFC00003FFC000 000000000007FFC00007FF8000000000000003FFC00007FF0000000000000003FFC0000F FE0000000000000001FFC0001FFE0000000000000001FFC0001FFC0000000000000000FF C0003FF80000000000000000FFC0007FF800000000000000007FC0007FF0000000000000 00007FC000FFF000000000000000003FC000FFE000000000000000003FC001FFE0000000 00000000003FC001FFC000000000000000001FC003FFC000000000000000001FC003FFC0 00000000000000001FC007FF8000000000000000000FC007FF8000000000000000000FC0 0FFF8000000000000000000FC00FFF00000000000000000007C00FFF0000000000000000 0007C01FFF00000000000000000007C01FFE00000000000000000007C01FFE0000000000 0000000007C03FFE00000000000000000003C03FFE00000000000000000003C03FFC0000 0000000000000003C03FFC00000000000000000003C07FFC00000000000000000003C07F FC00000000000000000000007FFC00000000000000000000007FFC000000000000000000 00007FFC00000000000000000000007FF80000000000000000000000FFF8000000000000 0000000000FFF80000000000000000000000FFF80000000000000000000000FFF8000000 0000000000000000FFF80000000000000000000000FFF80000000000000000000000FFF8 0000000000000000000000FFF80000000000000000000000FFF800000000000000000000 00FFF80000000000000000000000FFF80000000000000000000000FFF800000000000000 00000000FFF80000000000000000000000FFF80000000000000000000000FFF800000000 00000000000000FFF80000000000000000000000FFF80000000000000000000000FFF800 000000000000000000007FF800000000000000000000007FFC0000000000000000000000 7FFC00000000000000000000007FFC00000000000000000000007FFC0000000000000000 0000007FFC00000000000000000000003FFC00000000000000000000003FFC0000000000 0000000001C03FFE00000000000000000001C03FFE00000000000000000001C01FFE0000 0000000000000001C01FFE00000000000000000001C01FFF00000000000000000001C00F FF00000000000000000001C00FFF00000000000000000003C00FFF800000000000000000 038007FF800000000000000000038007FF800000000000000000038003FFC00000000000 000000038003FFC00000000000000000078001FFC00000000000000000070001FFE00000 000000000000070000FFE000000000000000000F0000FFF000000000000000000F00007F F000000000000000000E00007FF800000000000000001E00003FF800000000000000001C 00001FFC00000000000000003C00001FFE00000000000000003800000FFE000000000000 000078000007FF000000000000000070000007FF8000000000000000F0000003FFC00000 0000000001E0000001FFE000000000000001E0000000FFE000000000000003C00000007F F000000000000007800000003FF80000000000000F800000001FFE0000000000001F0000 00000FFF0000000000003E0000000007FF8000000000007C0000000003FFC00000000000 F80000000001FFF00000000001F000000000007FF80000000007E000000000003FFE0000 00000FC000000000000FFF800000003F80000000000007FFF0000000FE00000000000001 FFFE000007FC000000000000007FFFF000FFF0000000000000001FFFFFFFFFC000000000 00000003FFFFFFFF000000000000000000FFFFFFFC0000000000000000000FFFFFE00000 00000000000000007FFC0000000000627C78F873>IIII<0000000000007FFC00 000001C00000000000000FFFFFC0000001C0000000000000FFFFFFF8000003C000000000 0003FFFFFFFE000003C000000000001FFFFFFFFF800007C000000000007FFFF000FFE000 07C00000000001FFFE00000FF0000FC00000000007FFF0000003FC000FC0000000000FFF 80000000FE001FC0000000003FFE000000003F001FC0000000007FF8000000001F803FC0 00000001FFF00000000007E03FC000000003FFC00000000003F07FC000000007FF800000 000001F07FC00000000FFF000000000000F8FFC00000001FFC0000000000007CFFC00000 003FF80000000000003FFFC00000007FF00000000000001FFFC0000000FFE00000000000 001FFFC0000001FFE00000000000000FFFC0000003FFC000000000000007FFC0000007FF 8000000000000003FFC0000007FF0000000000000003FFC000000FFE0000000000000001 FFC000001FFE0000000000000001FFC000001FFC0000000000000000FFC000003FF80000 000000000000FFC000007FF800000000000000007FC000007FF000000000000000007FC0 0000FFF000000000000000003FC00000FFE000000000000000003FC00001FFE000000000 000000003FC00001FFC000000000000000001FC00003FFC000000000000000001FC00003 FFC000000000000000001FC00007FF8000000000000000000FC00007FF80000000000000 00000FC0000FFF8000000000000000000FC0000FFF00000000000000000007C0000FFF00 000000000000000007C0001FFF00000000000000000007C0001FFE000000000000000000 07C0001FFE00000000000000000007C0003FFE00000000000000000003C0003FFE000000 00000000000003C0003FFC00000000000000000003C0003FFC00000000000000000003C0 007FFC00000000000000000003C0007FFC0000000000000000000000007FFC0000000000 000000000000007FFC0000000000000000000000007FFC0000000000000000000000007F F8000000000000000000000000FFF8000000000000000000000000FFF800000000000000 0000000000FFF8000000000000000000000000FFF8000000000000000000000000FFF800 0000000000000000000000FFF8000000000000000000000000FFF8000000000000000000 000000FFF8000000000000000000000000FFF8000000000000000000000000FFF8000000 000000000000000000FFF8000000000000000000000000FFF80000000000000000000000 00FFF8000000000000000000000000FFF8000000000000000000000000FFF80000000000 00000000000000FFF8000000000000000000000000FFF8000000000000000000000000FF F80000000000000000000000007FFC0000000000000000000000007FFC00000000000000 00000000007FFC0000000000000000000000007FFC0000000000003FFFFFFFFFF87FFC00 00000000003FFFFFFFFFF87FFC0000000000003FFFFFFFFFF83FFC0000000000003FFFFF FFFFF83FFE0000000000003FFFFFFFFFF83FFE0000000000000000FFFFF8003FFE000000 00000000000FFFE0001FFE000000000000000007FFC0001FFE000000000000000003FFC0 001FFF000000000000000003FFC0000FFF000000000000000003FFC0000FFF0000000000 00000003FFC0000FFF800000000000000003FFC00007FF800000000000000003FFC00007 FF800000000000000003FFC00003FFC00000000000000003FFC00003FFC0000000000000 0003FFC00001FFE00000000000000003FFC00001FFE00000000000000003FFC00000FFE0 0000000000000003FFC00000FFF00000000000000003FFC000007FF80000000000000003 FFC000007FF80000000000000003FFC000003FFC0000000000000003FFC000001FFC0000 000000000003FFC000001FFE0000000000000003FFC000000FFF0000000000000003FFC0 000007FF0000000000000003FFC0000007FF8000000000000003FFC0000003FFC0000000 00000003FFC0000001FFE000000000000007FFC0000000FFF000000000000007FFC00000 007FF800000000000007FFC00000003FFC0000000000000FFFC00000001FFE0000000000 001FFFC00000000FFF0000000000001FFFC000000007FFC000000000003EFFC000000003 FFE000000000007E7FC000000001FFF00000000000FC3FC0000000007FFC0000000001F8 3FC0000000003FFF0000000007F01FC0000000000FFFC00000000FE00FC00000000007FF F80000007F800FC00000000001FFFF000001FF0007C000000000007FFFF8003FFC0003C0 00000000001FFFFFFFFFF00001C0000000000003FFFFFFFFC00000C0000000000000FFFF FFFF000000000000000000000FFFFFF000000000000000000000007FFE0000000000006D 7C78F87D>III76 DII<000000000001FFF000 000000000000000000003FFFFF8000000000000000000001FFFFFFF00000000000000000 000FFF001FFE0000000000000000003FF00001FF800000000000000000FF8000003FE000 00000000000003FE0000000FF8000000000000000FF800000003FE000000000000001FE0 00000000FF000000000000007FC0000000007FC0000000000000FF80000000003FE00000 00000001FE00000000000FF0000000000007FC000000000007FC00000000000FF8000000 000003FE00000000001FF0000000000001FF00000000003FE0000000000000FF80000000 007FC00000000000007FC000000000FFC00000000000007FE000000001FF800000000000 003FF000000001FF000000000000001FF000000003FE000000000000000FF800000007FE 000000000000000FFC0000000FFC0000000000000007FE0000000FF80000000000000003 FE0000001FF80000000000000003FF0000003FF00000000000000001FF8000003FF00000 000000000001FF8000007FE00000000000000000FFC000007FE00000000000000000FFC0 0000FFC000000000000000007FE00001FFC000000000000000007FF00001FFC000000000 000000007FF00003FF8000000000000000003FF80003FF8000000000000000003FF80003 FF8000000000000000003FF80007FF0000000000000000001FFC0007FF00000000000000 00001FFC000FFF0000000000000000001FFE000FFE0000000000000000000FFE000FFE00 00000000000000000FFE001FFE0000000000000000000FFF001FFE000000000000000000 0FFF001FFE0000000000000000000FFF003FFC00000000000000000007FF803FFC000000 00000000000007FF803FFC00000000000000000007FF803FFC00000000000000000007FF 803FFC00000000000000000007FF807FFC00000000000000000007FFC07FFC0000000000 0000000007FFC07FF800000000000000000003FFC07FF800000000000000000003FFC07F F800000000000000000003FFC07FF800000000000000000003FFC0FFF800000000000000 000003FFE0FFF800000000000000000003FFE0FFF800000000000000000003FFE0FFF800 000000000000000003FFE0FFF800000000000000000003FFE0FFF8000000000000000000 03FFE0FFF800000000000000000003FFE0FFF800000000000000000003FFE0FFF8000000 00000000000003FFE0FFF800000000000000000003FFE0FFF800000000000000000003FF E0FFF800000000000000000003FFE0FFF800000000000000000003FFE0FFF80000000000 0000000003FFE0FFF800000000000000000003FFE0FFF800000000000000000003FFE0FF F800000000000000000003FFE07FFC00000000000000000007FFC07FFC00000000000000 000007FFC07FFC00000000000000000007FFC07FFC00000000000000000007FFC07FFC00 000000000000000007FFC07FFC00000000000000000007FFC03FFC000000000000000000 07FF803FFE0000000000000000000FFF803FFE0000000000000000000FFF803FFE000000 0000000000000FFF801FFE0000000000000000000FFF001FFE0000000000000000000FFF 001FFF0000000000000000001FFF000FFF0000000000000000001FFE000FFF0000000000 000000001FFE000FFF0000000000000000001FFE0007FF8000000000000000003FFC0007 FF8000000000000000003FFC0007FF8000000000000000003FFC0003FFC0000000000000 00007FF80003FFC000000000000000007FF80001FFE00000000000000000FFF00001FFE0 0000000000000000FFF00000FFE00000000000000000FFE00000FFF00000000000000001 FFE000007FF00000000000000001FFC000003FF80000000000000003FF8000003FF80000 000000000003FF8000001FFC0000000000000007FF0000001FFC0000000000000007FF00 00000FFE000000000000000FFE00000007FF000000000000001FFC00000003FF00000000 0000001FF800000003FF800000000000003FF800000001FFC00000000000007FF0000000 00FFC00000000000007FE0000000007FE0000000000000FFC0000000003FF00000000000 01FF80000000001FF8000000000003FF00000000000FFC000000000007FE000000000007 FE00000000000FFC000000000003FF00000000001FF8000000000000FF80000000003FE0 0000000000007FE000000000FFC00000000000003FF000000001FF800000000000000FFC 00000007FE0000000000000003FE0000000FF80000000000000001FFC000007FF0000000 00000000003FF00001FF8000000000000000000FFF001FFE00000000000000000003FFFF FFF8000000000000000000003FFFFF800000000000000000000001FFF00000000000006B 7C78F87C>I82 D<0000003FF8000000E0000003FFFFC00000E00000 1FFFFFF80001E000007FFFFFFE0001E00001FFFFFFFF8001E00003FFC007FFC003E0000F FE00003FF003E0001FF8000007F807E0003FE0000001FC07E0007FC0000000FE0FE000FF 800000003F0FE001FF000000001F9FE003FE000000000FDFE003FC0000000007FFE007F8 0000000003FFE00FF80000000001FFE00FF00000000000FFE01FF00000000000FFE01FE0 00000000007FE03FE000000000003FE03FC000000000003FE03FC000000000001FE07FC0 00000000001FE07FC000000000000FE07F8000000000000FE07F80000000000007E0FF80 000000000007E0FF80000000000007E0FF80000000000003E0FF80000000000003E0FF80 000000000003E0FF80000000000001E0FF80000000000001E0FFC0000000000001E0FFC0 000000000001E0FFC0000000000001E0FFE0000000000000E0FFE0000000000000E07FE0 000000000000E07FF0000000000000E07FF8000000000000E07FF8000000000000003FFC 000000000000003FFE000000000000003FFF000000000000001FFF800000000000001FFF C00000000000000FFFE00000000000000FFFF800000000000007FFFC00000000000003FF FF80000000000003FFFFF8000000000001FFFFFF800000000000FFFFFFF800000000007F FFFFFF80000000003FFFFFFFF0000000001FFFFFFFFF000000000FFFFFFFFFE000000003 FFFFFFFFF800000001FFFFFFFFFE000000007FFFFFFFFF000000001FFFFFFFFFC0000000 03FFFFFFFFE0000000003FFFFFFFF00000000007FFFFFFF800000000007FFFFFFC000000 000007FFFFFE0000000000007FFFFF0000000000000FFFFF80000000000000FFFF800000 000000003FFFC00000000000001FFFE000000000000007FFE000000000000003FFF00000 0000000001FFF000000000000000FFF000000000000000FFF8000000000000007FF80000 00000000003FF8000000000000003FFC000000000000001FFC000000000000001FFC0000 00000000000FFCE00000000000000FFEE000000000000007FEE000000000000007FEE000 000000000007FEE000000000000007FEE000000000000003FEE000000000000003FEF000 000000000003FEF000000000000003FEF000000000000003FEF000000000000003FEF000 000000000003FEF800000000000003FEF800000000000003FCF800000000000003FCFC00 000000000003FCFC00000000000007FCFE00000000000007FCFE00000000000007F8FF00 00000000000FF8FF0000000000000FF8FF8000000000000FF0FF8000000000001FF0FFC0 00000000001FE0FFE000000000003FE0FFF000000000003FC0FFF800000000007F80FFFC 0000000000FF80FF7E0000000001FF00FF3F8000000001FE00FE1FC000000003FC00FE0F F00000000FF800FC07FC0000001FF000FC01FF0000003FE000F800FFF00000FFC000F800 3FFF800FFF8000F0000FFFFFFFFE0000F00003FFFFFFF80000F00000FFFFFFE00000E000 000FFFFF800000E00000007FF8000000477C78F858>I<1FFFFFFFFFFFFFFFFFFFFFFFF8 1FFFFFFFFFFFFFFFFFFFFFFFF81FFFFFFFFFFFFFFFFFFFFFFFF81FFFFFFFFFFFFFFFFFFF FFFFF81FFFFFFFFFFFFFFFFFFFFFFFF81FFFF800000FFFF000001FFFF83FFF80000007FF E0000001FFFC3FFC00000003FFC00000003FFC3FF800000003FFC00000001FFC3FE00000 0003FFC000000007FC3FC000000003FFC000000003FC3F8000000003FFC000000001FC3F 0000000003FFC000000000FC3F0000000003FFC000000000FC3E0000000003FFC0000000 007C3E0000000003FFC0000000007C3C0000000003FFC0000000003C3C0000000003FFC0 000000003C3C0000000003FFC0000000003C780000000003FFC0000000001E7800000000 03FFC0000000001E780000000003FFC0000000001E780000000003FFC0000000001E7800 00000003FFC0000000001E700000000003FFC0000000000E700000000003FFC000000000 0E700000000003FFC0000000000E700000000003FFC0000000000E700000000003FFC000 0000000E700000000003FFC0000000000E700000000003FFC0000000000E700000000003 FFC0000000000EE00000000003FFC00000000007E00000000003FFC00000000007E00000 000003FFC00000000007E00000000003FFC00000000007E00000000003FFC00000000007 E00000000003FFC00000000007000000000003FFC00000000000000000000003FFC00000 000000000000000003FFC00000000000000000000003FFC00000000000000000000003FF C00000000000000000000003FFC00000000000000000000003FFC0000000000000000000 0003FFC00000000000000000000003FFC00000000000000000000003FFC0000000000000 0000000003FFC00000000000000000000003FFC00000000000000000000003FFC0000000 0000000000000003FFC00000000000000000000003FFC00000000000000000000003FFC0 0000000000000000000003FFC00000000000000000000003FFC000000000000000000000 03FFC00000000000000000000003FFC00000000000000000000003FFC000000000000000 00000003FFC00000000000000000000003FFC00000000000000000000003FFC000000000 00000000000003FFC00000000000000000000003FFC00000000000000000000003FFC000 00000000000000000003FFC00000000000000000000003FFC00000000000000000000003 FFC00000000000000000000003FFC00000000000000000000003FFC00000000000000000 000003FFC00000000000000000000003FFC00000000000000000000003FFC00000000000 000000000003FFC00000000000000000000003FFC00000000000000000000003FFC00000 000000000000000003FFC00000000000000000000003FFC00000000000000000000003FF C00000000000000000000003FFC00000000000000000000003FFC0000000000000000000 0003FFC00000000000000000000003FFC00000000000000000000003FFC0000000000000 0000000003FFC00000000000000000000003FFC00000000000000000000003FFC0000000 0000000000000003FFC00000000000000000000003FFC00000000000000000000003FFC0 0000000000000000000003FFC00000000000000000000003FFC000000000000000000000 03FFC00000000000000000000003FFC00000000000000000000003FFC000000000000000 00000003FFC00000000000000000000003FFC00000000000000000000003FFC000000000 00000000000003FFC00000000000000000000003FFC00000000000000000000003FFC000 00000000000000000003FFC00000000000000000000003FFC00000000000000000000003 FFC00000000000000000000003FFC00000000000000000000003FFC00000000000000000 000003FFC00000000000000000000003FFC00000000000000000000003FFC00000000000 000000000007FFE0000000000000000000000FFFF0000000000000000000007FFFFE0000 0000000000001FFFFFFFFFFFF80000000000001FFFFFFFFFFFF80000000000001FFFFFFF FFFFF80000000000001FFFFFFFFFFFF80000000000001FFFFFFFFFFFF800000068757BF4 73>II E end %%EndProlog %%BeginSetup %%Feature: *Resolution 600dpi TeXDict begin %%PaperSize: Letter %%EndSetup %%Page: 1 1 1 0 bop 538 809 a FG(SINGULAR)54 b(BOHR-SOMMERFELD)1310 1017 y(CONDITIONS)565 1313 y FF(Yv)m(es)39 b(Colin)e(de)i(V)-10 b(erdi)m(\022)-55 b(ere)1742 1269 y FE(\003)p FD(;)36 b FE(\003\003)1969 1313 y FF(and)j(Bernard)e(P)m(arisse)3009 1269 y FE(\003\003)1422 1546 y FF(Octob)s(er)h(8,)g(1998)120 1885 y FC(\003)192 1921 y FB(Institut)32 b(Univ)m(ersitaire)g(de)h(F)-8 b(rance)120 2005 y FC(\003\003)227 2042 y FB(Institut)33 b(F)-8 b(ourier,)31 b(Unit)m(\023)-46 b(e)32 b(mixte)g(de)h(rec)m(herc) m(he)i(CNRS-UJF)e(5582)120 2162 y(BP)g(74,)f(38402-Sain)m(t)f(Martin)g (d'H)m(\022)-46 b(eres)34 b(Cedex)h(\(F)-8 b(rance\))120 2282 y(yv)m(es.colin-de-v)m(erdiere@ujf-grenoble.fr)120 2403 y(b)s(ernard.parisse@ujf-grenoble.fr)1630 2872 y FA(Abstract)500 3041 y Fz(The)30 b(ob)5 b(ject)31 b(of)f(this)f(pap)s (er)h(is)f(to)i(presen)m(t)f(a)h(geometrical)g(form)m(ulation)d(of)j (the)364 3154 y(singular)h(Bohr-Sommerfeld)i(conditions)f(giv)m(en)i (in)e([8)q(],)j(in)e(a)h(more)g(general)f(con-)364 3267 y(text,)29 b(including)24 b(c)m(haracteristic)j(manifolds)e(with)h(sev) m(eral)i(saddle)e(p)s(oin)m(ts.)38 b(Sev)m(eral)364 3379 y(examples)28 b(are)g(detailed)g(and)g(n)m(umerical)e(c)m(hec)m(kings)j (of)g(the)f(results)f(are)i(pro)m(vided.)120 5222 y Fy(Keyw)m(ords:)55 b FB(eigen)m(v)-5 b(alues,)39 b(scattering)f(matrix,)g(Bohr-Sommerfeld) e(conditions,)i(semi-)120 5342 y(classics,)33 b(saddle)f(p)s(oin)m(t,)g (Morse)i(lemma.)120 5463 y Fy(Mathematical)i(classi\014cation)p FB(:)42 b(34E20)32 b(-)g(34L25)g(-)g(81Q20)1806 5712 y(1)p eop %%Page: 2 2 2 1 bop 120 407 a Fx(In)l(tro)t(duction)120 626 y FB(Bohr-Sommerfeld)20 b(conditions)h(allo)m(w)f(to)i(describ)s(e)g(the)g(semi-classical)e(b)s (eha)m(vior)h(of)h(eigen-)120 746 y(v)-5 b(alues)45 b(for)g(a)g (completely)f(in)m(tegrable)g(Hamiltonian)d(system;)53 b(in)44 b(fact,)k(they)e(are)f(only)120 867 y(concerned)e(with)d(the)i (op)s(en)f(dense)h(subset)h(of)d(the)i(phase)f(space)i(foliated)38 b(b)m(y)k(in)m(v)-5 b(arian)m(t)120 987 y(Lagrangian)34 b(tori)g(and)h(are)h(expressed)i(as)d(quan)m(tization)g(conditions)f (whic)m(h)i(select)g(some)120 1107 y(discrete)27 b(set)g(of)f(these)i (tori)d(\(see)i([3],)h([9])e(or)g([15]\).)41 b(These)28 b(conditions)e(mak)m(e)g(use)i(action)d(in-)120 1228 y(tegrals)k(and)g(in)m(tegrals)f(of)h(the)g(sub-principal)f(sym)m(b)s (ol)g(along)g(the)i(cycles)g(of)f(the)g(in)m(v)-5 b(arian)m(t)120 1348 y(torus.)53 b(It)36 b(is)f(p)s(ossible)g(to)g(rein)m(terpret)h (these)h(conditions)d(outside)i(an)m(y)g(sp)s(ectral)g(con)m(text)120 1469 y(as)h(existence)i(conditions)d(for)g(a)h(pseudo-di\013eren)m (tial)e(op)s(erator)i(for)f(whic)m(h)i(this)e(torus)h(is)120 1589 y(a)i(c)m(haracteristic)f(manifold.)60 b(In)40 b(dimension)d(1,)k (if)c Fw(\015)44 b FB(is)39 b(a)g(smo)s(oth)f(compact)g(connected)120 1709 y(comp)s(onen)m(t)30 b(of)g(the)g(c)m(haracteristic)g(manifold)d (\()p Fw(\015)35 b FB(is)29 b(a)h(top)s(ological)d(circle\),)i(let)h (us)g(denote)120 1830 y(b)m(y)35 b Fw(A)330 1845 y Fv(\015)405 1830 y FB(=)510 1749 y Fu(R)558 1864 y Fv(\015)619 1830 y Fw(\030)5 b(dx)33 b FB(the)h(action)g(in)m(tegral)e(and)i(b)m(y)h Fw(I)1997 1845 y Fv(\015)2071 1830 y FB(=)2177 1749 y Fu(R)2224 1864 y Fv(\015)2285 1830 y Fw(H)2366 1845 y Ft(1)2406 1830 y Fw(dt)f FB(\()p Fw(H)2645 1845 y Ft(1)2718 1830 y FB(is)f(the)i(sub-principal)120 1960 y(sym)m(b)s(ol\).)40 b(If)25 b Fs(X)688 1975 y Fv(H)746 1984 y Fr(0)810 1960 y FB(is)g(the)h(Hamiltonian)21 b(v)m(ector)27 b(\014eld)e(asso)s (ciated)g(with)f(the)i(principal)d(sym-)120 2081 y(b)s(ol)31 b Fw(H)366 2096 y Ft(0)406 2081 y FB(,)h Fw(dt)h FB(is)f(de\014ned)i(b) m(y)f Fw(dt)p FB(\()p Fs(X)1348 2096 y Fv(H)1406 2105 y Fr(0)1445 2081 y FB(\))27 b(=)h(1)k(and)h Fw(m)p FB(\()p Fw(\015)5 b FB(\))32 b(is)g(the)h(Maslo)m(v)g(index.)44 b(A)33 b(necessary)120 2201 y(and)i(su\016cien)m(t)i(condition)d(for)g (the)i(existence)h(of)e(a)g(function)g Fw(u)f FB(satisfying)3032 2176 y(^)3007 2201 y Fw(H)7 b(u)32 b FB(=)g Fw(O)s FB(\()p Fw(h)3463 2165 y Ft(2)3502 2201 y FB(\))120 2321 y(with)g Fw(L)408 2285 y Ft(2)481 2321 y FB(norm)f(b)s(ounded)j(from)d(b)s(elo)m (w,)h(can)h(b)s(e)g(written)f(as)h(follo)m(ws:)1256 2504 y(1)p 1253 2549 57 4 v 1253 2640 a Fw(h)1319 2572 y(A)1392 2587 y Fv(\015)1459 2572 y Fs(\000)22 b Fw(I)1601 2587 y Fv(\015)1668 2572 y FB(+)1776 2504 y Fw(\031)p 1776 2549 59 4 v 1781 2640 a FB(2)1845 2572 y Fw(m)p FB(\()p Fw(\015)5 b FB(\))27 b Fs(2)i FB(2)p Fw(\031)t Fq(Z)g Fw(:)998 b FB(\(1\))266 2814 y(In)43 b(dimension)f(1)g(already)-8 b(,)45 b(a)d(generic)h(Hamiltonian)c Fw(H)2421 2829 y Ft(0)2460 2814 y FB(\()p Fw(x;)17 b(\030)5 b FB(\))42 b(admits,)i(in)e(general,)120 2935 y(critical)26 b(v)-5 b(alues)29 b(with)f(singular)f(corresp)s(onding)i(lev)m(el)f(sets.)43 b(Near)29 b(some)f(lo)s(cal)f(non)i(degen-)120 3055 y(erate)j(extrem)m (um,)h(it)e(is)g(alw)m(a)m(ys)i(p)s(ossible)e(to)h(regularize)f(the)h (equations)h(using)e(harmonic)120 3176 y(oscillators)36 b(\(see)i([4]\).)59 b(This)38 b(is)g(no)g(more)f(true)h(for)f(saddle)h (p)s(oin)m(ts.)59 b(There)39 b(exists,)h(ho)m(w-)120 3296 y(ev)m(er,)c(a)d(microlo)s(cal)d(normal)i(form)h(\(semi-classical) e(Morse)k(lemma,)d(see)j([7],)f([6]\).)47 b(In)35 b(the)120 3416 y(pap)s(er)g([8)o(],)g(w)m(e)h(describ)s(ed)f(the)g(quan)m (tization)f(conditions)f(asso)s(ciated)h(with)h(the)f(singular)120 3537 y(manifold)c(in)i(the)h(case)g(of)f(a)g(double)h(p)s(oten)m(tial)e (w)m(ell)g(for)h(the)h(Sc)m(hr\177)-49 b(odinger)33 b(equation.)266 3657 y(The)38 b(aim)d(of)h(the)h(presen)m(t)h(pap)s(er)f(is)f(to)g (reform)m(ulate)f(and)i(extend)h(the)f(quan)m(tization)120 3778 y(conditions)h(of)g([8].)63 b(The)40 b(reform)m(ulation)c(is)j (purely)g(geometrical:)54 b(the)39 b(action)f(in)m(tegrals)120 3898 y(do)d(not)g(need)i(to)e(b)s(e)g(regularized,)g(but)h(the)g(in)m (tegrals)e(of)h(the)h(sub-principal)d(sym)m(b)s(ol)i(are)120 4018 y(div)m(ergen)m(t)d(and)f(need)h(to)e(b)s(e)h(regularized)f(using) h(the)g(symplectic)g(geometry)f(of)h(the)g(phase)120 4139 y(space)j(\(see)f(2.2\).)266 4259 y(In)h(suc)m(h)h(a)e(w)m(a)m(y) -8 b(,)35 b(it)e(b)s(ecomes)h(p)s(ossible)f(to)g(describ)s(e)h(the)g (semi-classical)d(sp)s(ectrum)j(in)120 4379 y(cases)g(where)h(the)e(c)m (haracteristic)g(manifold)d(do)j(admit)f(sev)m(eral)h(saddle)g(p)s(oin) m(ts:)44 b(m)m(ultiple)120 4500 y(w)m(ells)25 b(with)h(saddle)f(at)g (the)h(same)g(energy)-8 b(,)28 b(p)s(endulum)d(on)g(the)h(torus.)42 b(The)26 b(case)h(of)e(coupled)120 4620 y(systems)34 b(\(see)g(the)f(lo)s(cal)d(theory)j(in)f([6]\))g(will)f(b)s(e)h (describ)s(ed)i(in)e([5].)266 4741 y(It)i(is)f(also)f(p)s(ossible)h(to) g(study)i(scattering)e(problems.)45 b(The)34 b(case)h(of)e(a)g(p)s (oten)m(tial)e(with)120 4861 y(one)h(threshold)g(only)g(and)g(the)g(v)m (olcano-top)f(are)h(presen)m(ted)j(\(see)e(section)f(12\).)42 b(In)33 b([5],)f(w)m(e)120 4981 y(study)c(the)f(adiabatic)e(limit)e (for)j(a)g Fw(N)10 b FB(-lev)m(els)27 b(system)h(with)e(a)m(v)m(oided)h (eigen)m(v)-5 b(alues)26 b(crossings)120 5102 y(\(see)33 b([13])e(and)h(also)f([11]\).)43 b(F)-8 b(or)31 b(comparison)g(with)g (existing)g(texts,)i(w)m(e)g(insist)e(on)h(the)g(fact)120 5222 y(that)42 b(our)g(metho)s(ds)g(are)g(situated)h(in)e(the)i(smo)s (oth)e(con)m(text)j(and)e(do)g(not)g(use)h(analytic)120 5342 y(extensions.)72 b(Subtle)41 b(com)m(binatorics)f(of)h(Stok)m(es)i (lines)e(is)g(replaced)h(b)m(y)g(some)g(algebraic)120 5463 y(mec)m(hanism)32 b(on)g(the)h(c)m(haracteristic)g(manifold)c (whic)m(h)34 b(is)e(a)g(tetra)m(v)-5 b(alen)m(t)32 b(graph.)1806 5712 y(2)p eop %%Page: 3 3 3 2 bop 266 407 a FB(The)23 b(pap)s(er)f(is)f(organized)g(as)h(follo)m (ws:)37 b(microlo)s(cal)18 b(solutions)j(of)g(the)h(pseudo-di\013eren)m (tial)120 527 y(equation)36 b(are)h(sections)g(of)f(a)h(sheaf)g(on)f (the)h(c)m(haracteristic)g(manifold)d Fw(Z)7 b FB(.)55 b(The)38 b(abstract)120 648 y(description)i(of)g(these)i(sheafs)g(is)e (pro)m(vided)h(in)f(section)h(4.)67 b(The)42 b(geometric)d(description) 120 768 y(\(mo)s(d)d Fw(O)s FB(\()p Fw(h)554 732 y Ft(2)592 768 y FB(\))h(\))g(of)f(this)h(sheaf)g(is)g(giv)m(en)g(in)f(terms)h(of) f(the)h(classical)f(in)m(v)-5 b(arian)m(ts)35 b(of)i(cycles)120 888 y(\(section)30 b(2\))g(and)g(saddle)g(p)s(oin)m(ts)f(\(section)h (3\).)42 b(W)-8 b(e)31 b(consider)f(in)f(particular)f(some)i(canoni-) 120 1009 y(cal)h(regularization)f(of)h(the)i(in)m(tegrals)1560 928 y Fu(R)1607 1043 y Fv(\015)1668 1009 y Fw(H)1749 1024 y Ft(1)1788 1009 y Fw(dt)f FB(where)i Fw(\015)j FB(is)31 b(a)h(cycle)h(of)f(the)g(c)m(haracteristic)120 1129 y(manifold.)266 1249 y(After)38 b(that,)h(w)m(e)g(sho)m(w)g(ho)m (w)f(to)f(p)s(erform)g(the)h(computations)f(on)g(sev)m(eral)i (examples:)120 1370 y(eigen)m(v)-5 b(alues)23 b(of)f(the)i(Sc)m(hr\177) -49 b(odinger)23 b(op)s(erator)f(with)h(a)g(double)f(w)m(ell)h(on)f Fq(R)34 b FB(in)22 b(order)i(to)e(reco)m(v)m(er)120 1490 y(results)35 b(of)f([8])g(\(section)g(8\),)h(with)f(a)g(triple)f(w)m (ell)h(\(section)g(9\),)h(discriminan)m(t)d(and)i(sp)s(ectra)120 1611 y(of)f(Hill's)e(equation)i(\(sections)h(10)f(and)g(11\),)g (computation)f(of)h(the)h(scattering)f(matrix)e(for)120 1731 y(p)s(oten)m(tial)g(on)h(the)h(real)f(line)f(with)i(1)f(\(section) g(12.1\))g(or)h(2)f(c)m(hannels)h(\(section)g(12.2\).)266 1851 y(A)m(t)25 b(the)g(end,)i(in)d(the)h(app)s(endices)g(\(section)f (A\),)j(the)d(theoretical)g(results)h(are)f(compared)120 1972 y(with)32 b(direct)h(n)m(umerical)e(computations.)266 2092 y(The)38 b(cases)h(of)e(systems)h(of)f(Sc)m(hr\177)-49 b(odinger)37 b(equations)g(\(Born-Opp)s(enheimer)g(appro)m(xi-)120 2213 y(mation\))e(and)j(of)f(the)g(adiabatic)f(limit)e(for)j(a)m(v)m (oided)g(crossings)h(for)f(an)g Fw(N)10 b FB(-lev)m(els)38 b(system)120 2333 y(will)30 b(b)s(e)j(describ)s(ed)g(in)f([5].)266 2453 y(The)f(case)g(of)e(dimensions)h Fs(\025)e FB(2)h(will)f(b)s(e)i (studied)g(in)g(some)f(future)i(w)m(ork)f(with)g(applica-)120 2574 y(tion)h(to)g(semi-excited)g(states)h(in)f(the)h(resonan)m(t)g(2)p Fw(d)f FB(case)i(\(see)g([12)o(])f(and)f([2]\).)43 b Fp(F)-7 b(o)i(cus-fo)g(cus)120 2694 y FB(singularities)30 b(are)j(discussed)h(in)e([18)o(])h(and)g([19)o(].)120 3018 y Fx(1)161 b(The)53 b(con)l(text)120 3267 y Fo(1.1)135 b(Classics)120 3451 y FB(Let)39 b(\()p Fw(X)r(;)17 b(!)t FB(\))38 b(b)s(e)h(a)g(2-dimensional)d(symplectic)i(manifold)e(\()p Fw(X)47 b FB(is)39 b(the)g(phase)h(space\))g(and)120 3572 y Fw(H)201 3587 y Ft(0)277 3572 y FB(:)d Fw(X)45 b Fs(!)36 b Fq(R)49 b FB(a)37 b(smo)s(oth)g(Hamiltonian.)56 b(V)-8 b(ery)39 b(often,)g Fw(X)46 b FB(is)37 b(the)i(cotangen)m(t)f (bundle)g(of)120 3692 y Fw(M)43 b FB(=)33 b Fq(R)46 b FB(or)35 b(of)g Fw(M)43 b FB(=)32 b Fq(R)5 b Fw(=)p Fq(Z)p FB(,)40 b(but)35 b(it)g(is)g(also)f(p)s(ossible)h(to)g(w)m(ork)h(with)f (a)g(Riemann)f(surface)120 3812 y Fw(X)40 b FB(\(T)-8 b(o)s(eplitz)32 b(op)s(erators\).)266 3933 y(Let)38 b(us)h(assume)g (that)e(0)h(is)g(a)f(critical)f(v)-5 b(alue)37 b(of)h Fw(H)2199 3948 y Ft(0)2276 3933 y FB(and)g(let)f Fw(Z)45 b FB(b)s(e)38 b(some)g(connected)120 4053 y(comp)s(onen)m(t)31 b(of)g(the)g(c)m(haracteristic)g(manifold)d Fw(H)1982 4012 y FC(\000)p Ft(1)1974 4078 y(0)2076 4053 y FB(\(0\).)43 b(Let)31 b(us)h(assume)f(that)g(all)e(critical)120 4174 y(p)s(oin)m(ts)40 b(of)g Fw(H)621 4189 y Ft(0)701 4174 y FB(lo)s(cated)g(on)g Fw(Z)48 b FB(are)40 b(non)h(degenerated)h (saddle)e(p)s(oin)m(ts.)67 b(F)-8 b(or)40 b(eigen)m(v)-5 b(alues)120 4294 y(problems,)30 b Fw(Z)36 b FB(is)30 b(a)f(compact)h(set,)h(while)e Fw(Z)37 b FB(admits)28 b(some)i(op)s(en)g(edges)h(for)e(the)h(scattering)120 4414 y(problems.)61 b(Let)38 b(us)i(denote)f(b)m(y)g Fw(m)1452 4429 y FC(1)1566 4414 y FB(the)g(n)m(um)m(b)s(er)g(of)f(op)s (en)h(edges)g(of)f Fw(Z)7 b FB(,)40 b Fw(Z)3051 4429 y Ft(0)3129 4414 y FB(the)f(set)g(of)120 4535 y(all)j(critical)f(p)s (oin)m(ts)j(and)f Fw(n)k FB(=)g(#)p Fw(Z)1484 4550 y Ft(0)1524 4535 y FB(.)77 b(The)45 b(set)f Fw(Z)51 b FB(is)43 b(a)h(tetra)m(v)-5 b(alen)m(t)43 b(graph)h(em)m(b)s(edded)120 4655 y(in)i Fw(X)8 b FB(.)87 b(W)-8 b(e)47 b(will)e(denote)j(b)m(y)g Fw(s)1357 4670 y Fv(j)1393 4655 y Fw(;)64 b(j)58 b FB(=)53 b(1)p Fw(;)17 b Fs(\001)g(\001)g(\001)30 b Fw(;)17 b(n)47 b FB(the)h(p)s(oin)m(ts)e(of)h Fw(Z)2784 4670 y Ft(0)2870 4655 y FB(\(v)m(ertices)h(of)f Fw(Z)7 b FB(\),)120 4775 y Fw(e)165 4790 y Fv(l)191 4775 y Fw(;)50 b(l)32 b FB(=)d(1)p Fw(;)17 b Fs(\001)g(\001)g(\001)31 b Fw(;)17 b(m)34 b FB(the)g(edges)h(of)e Fw(Z)40 b FB(\(compact)33 b(or)h(op)s(en\),)g (let)f(us)h(de\014ne)h Fw(m)29 b FB(=)h Fw(m)3197 4790 y Fv(b)3254 4775 y FB(+)23 b Fw(m)3438 4790 y FC(1)3513 4775 y FB(.)120 4896 y(Let)43 b Fw(\015)356 4911 y Fv(j)392 4896 y Fw(;)59 b(j)50 b FB(=)44 b(1)p Fw(;)17 b Fs(\001)g(\001)g(\001) 31 b Fw(;)17 b(N)53 b FB(b)s(e)42 b(a)g(basis)h(of)f(cycles)h(of)f Fw(Z)7 b FB(,)45 b(i.e.)72 b(a)42 b(basis)h(of)f Fy(H)3011 4911 y Ft(1)3051 4896 y FB(\()p Fw(Z)r(;)17 b Fq(Z)p FB(\))39 b(\(free)120 5016 y Fq(Z)p Fs(\000)p FB(mo)s(dule)20 b(of)k(rank)g Fw(N)10 b FB(\))25 b(whic)m(h)f(consists)h(of)f (geometric)f(orien)m(ted)h(cycles.)41 b(Euler-P)m(oincar)m(\023)-46 b(e)120 5137 y(form)m(ula)31 b(implies:)1267 5300 y Fw(N)38 b FB(=)28 b Fw(b)1528 5315 y Ft(1)1567 5300 y FB(\()p Fw(Z)7 b FB(\))28 b(=)f(1)22 b Fs(\000)h Fw(n)f FB(+)g Fw(m)2282 5315 y Fv(b)2350 5300 y Fw(;)1038 b FB(\(2\))120 5463 y(with)32 b(4)p Fw(n)c FB(=)f(2)p Fw(m)c Fs(\000)f Fw(m)921 5478 y FC(1)996 5463 y FB(.)44 b(In)33 b(the)g(compact)f(case) h Fw(N)39 b FB(=)27 b(1)22 b(+)g Fw(n)p FB(.)1806 5712 y(3)p eop %%Page: 4 4 4 3 bop 289 1831 a @beginspecial @setspecial %%BeginDocument: Z.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -26.0 226.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 4755 m -1000 -1000 l 7537 -1000 l 7537 4755 l cp clip 0.06000 0.06000 sc % Polyline 7.500 slw n 3015 1455 m 2557 1650 l 2610 2175 l 2700 2580 l 3450 2640 l 3960 2617 l 4140 2580 l 4110 2108 l 4005 1635 l 3540 1432 l cp gs 0.95 setgray ef gr gs col7 s gr % Polyline n 450 720 m 451 721 l 453 724 l 457 729 l 463 737 l 472 748 l 484 764 l 500 783 l 519 807 l 542 835 l 568 868 l 598 905 l 631 945 l 667 990 l 706 1037 l 747 1087 l 790 1139 l 835 1192 l 881 1246 l 928 1301 l 975 1356 l 1023 1411 l 1070 1464 l 1117 1517 l 1164 1568 l 1210 1618 l 1255 1666 l 1299 1713 l 1343 1757 l 1385 1800 l 1427 1841 l 1468 1879 l 1508 1916 l 1547 1952 l 1586 1985 l 1625 2017 l 1663 2047 l 1701 2076 l 1739 2104 l 1776 2130 l 1814 2155 l 1852 2179 l 1890 2202 l 1929 2223 l 1968 2245 l 2008 2265 l 2046 2284 l 2085 2302 l 2125 2320 l 2165 2337 l 2206 2354 l 2248 2370 l 2291 2385 l 2335 2400 l 2379 2415 l 2425 2429 l 2471 2442 l 2518 2455 l 2566 2467 l 2615 2479 l 2664 2490 l 2714 2500 l 2765 2510 l 2817 2519 l 2869 2527 l 2922 2535 l 2975 2542 l 3028 2549 l 3082 2554 l 3136 2559 l 3191 2563 l 3245 2567 l 3299 2569 l 3353 2571 l 3408 2573 l 3462 2573 l 3515 2573 l 3568 2572 l 3621 2570 l 3674 2568 l 3726 2565 l 3777 2562 l 3828 2557 l 3878 2552 l 3928 2547 l 3977 2541 l 4025 2534 l 4073 2526 l 4121 2519 l 4167 2510 l 4214 2501 l 4259 2491 l 4305 2481 l 4350 2470 l 4395 2459 l 4440 2446 l 4484 2434 l 4529 2420 l 4573 2406 l 4618 2390 l 4663 2374 l 4709 2357 l 4755 2339 l 4802 2319 l 4850 2299 l 4899 2277 l 4949 2254 l 5000 2230 l 5053 2204 l 5106 2178 l 5162 2149 l 5218 2120 l 5277 2089 l 5336 2056 l 5397 2023 l 5460 1988 l 5523 1952 l 5588 1915 l 5653 1877 l 5719 1839 l 5784 1800 l 5849 1762 l 5914 1723 l 5977 1685 l 6038 1648 l 6097 1612 l 6153 1578 l 6205 1546 l 6254 1516 l 6299 1488 l 6338 1464 l 6373 1442 l 6404 1423 l 6429 1407 l 6449 1394 l 6466 1384 l 6478 1376 l 6486 1371 l 6491 1368 l 6494 1366 l 6495 1365 l gs col-1 s gr % Polyline n 585 3705 m 586 3704 l 588 3700 l 592 3694 l 597 3685 l 606 3671 l 617 3654 l 631 3632 l 647 3605 l 666 3574 l 688 3540 l 712 3503 l 738 3462 l 765 3420 l 793 3377 l 823 3332 l 852 3288 l 882 3243 l 911 3199 l 941 3157 l 970 3115 l 999 3074 l 1027 3035 l 1055 2997 l 1082 2961 l 1110 2925 l 1137 2891 l 1163 2858 l 1190 2825 l 1217 2793 l 1245 2762 l 1273 2731 l 1301 2700 l 1330 2669 l 1359 2639 l 1390 2608 l 1417 2581 l 1444 2554 l 1473 2526 l 1502 2499 l 1531 2471 l 1562 2443 l 1593 2414 l 1626 2385 l 1659 2356 l 1693 2327 l 1727 2297 l 1763 2267 l 1799 2237 l 1836 2206 l 1874 2176 l 1912 2146 l 1950 2115 l 1990 2085 l 2029 2055 l 2069 2026 l 2109 1996 l 2149 1967 l 2189 1939 l 2229 1911 l 2269 1883 l 2308 1857 l 2348 1831 l 2387 1805 l 2425 1781 l 2463 1758 l 2501 1735 l 2538 1713 l 2574 1692 l 2610 1672 l 2645 1653 l 2679 1636 l 2713 1619 l 2746 1602 l 2778 1587 l 2810 1573 l 2842 1560 l 2873 1548 l 2906 1535 l 2939 1523 l 2972 1513 l 3005 1503 l 3038 1494 l 3071 1487 l 3103 1480 l 3136 1475 l 3170 1470 l 3203 1467 l 3237 1465 l 3271 1464 l 3306 1464 l 3340 1465 l 3375 1468 l 3411 1471 l 3446 1476 l 3482 1482 l 3519 1489 l 3555 1497 l 3592 1506 l 3629 1517 l 3666 1528 l 3704 1540 l 3741 1554 l 3779 1568 l 3817 1583 l 3855 1600 l 3893 1616 l 3931 1634 l 3970 1653 l 4008 1672 l 4047 1692 l 4087 1712 l 4127 1734 l 4167 1756 l 4208 1779 l 4250 1803 l 4282 1821 l 4316 1840 l 4349 1860 l 4384 1880 l 4420 1901 l 4456 1923 l 4494 1946 l 4533 1969 l 4573 1994 l 4615 2020 l 4658 2046 l 4703 2074 l 4749 2104 l 4798 2134 l 4849 2166 l 4901 2199 l 4956 2234 l 5012 2270 l 5071 2308 l 5132 2347 l 5195 2387 l 5260 2429 l 5327 2472 l 5395 2517 l 5465 2562 l 5536 2608 l 5608 2655 l 5680 2702 l 5752 2749 l 5824 2796 l 5895 2842 l 5964 2887 l 6031 2931 l 6095 2973 l 6156 3013 l 6213 3050 l 6266 3085 l 6314 3116 l 6357 3145 l 6395 3169 l 6427 3191 l 6454 3208 l 6476 3223 l 6493 3234 l 6506 3243 l 6515 3249 l 6521 3252 l 6524 3254 l 6525 3255 l gs col-1 s gr % Polyline n 2635 2223 m 2641 2256 l 2647 2290 l 2654 2324 l 2661 2359 l 2668 2395 l 2676 2430 l 2685 2467 l 2694 2504 l 2703 2541 l 2714 2579 l 2724 2617 l 2736 2656 l 2748 2694 l 2760 2733 l 2773 2771 l 2787 2809 l 2801 2847 l 2816 2885 l 2831 2921 l 2847 2957 l 2863 2992 l 2880 3026 l 2897 3059 l 2914 3091 l 2932 3122 l 2950 3151 l 2968 3180 l 2987 3206 l 3005 3232 l 3025 3256 l 3044 3279 l 3064 3300 l 3084 3321 l 3105 3340 l 3126 3358 l 3148 3375 l 3171 3391 l 3194 3406 l 3218 3420 l 3243 3432 l 3268 3444 l 3294 3455 l 3320 3464 l 3347 3472 l 3375 3479 l 3403 3485 l 3431 3490 l 3460 3493 l 3489 3495 l 3518 3495 l 3546 3495 l 3575 3492 l 3603 3489 l 3631 3484 l 3659 3478 l 3685 3471 l 3712 3462 l 3737 3453 l 3762 3442 l 3786 3430 l 3808 3416 l 3830 3402 l 3851 3387 l 3871 3371 l 3891 3353 l 3909 3335 l 3926 3315 l 3943 3295 l 3958 3273 l 3973 3251 l 3987 3227 l 4000 3201 l 4013 3174 l 4025 3146 l 4036 3117 l 4047 3086 l 4056 3054 l 4066 3020 l 4074 2985 l 4082 2949 l 4089 2912 l 4095 2874 l 4101 2835 l 4105 2794 l 4109 2754 l 4113 2712 l 4115 2671 l 4117 2629 l 4118 2586 l 4118 2544 l 4118 2502 l 4117 2460 l 4115 2418 l 4113 2377 l 4111 2336 l 4107 2296 l 4103 2256 l 4099 2216 l 4094 2177 l 4089 2139 l 4084 2100 l 4078 2063 l 4071 2025 l 4064 1987 l 4057 1949 l 4049 1912 l 4040 1874 l 4031 1836 l 4021 1798 l 4011 1759 l 4000 1721 l 3988 1683 l 3976 1645 l 3963 1607 l 3949 1569 l 3935 1532 l 3920 1495 l 3905 1459 l 3889 1424 l 3872 1389 l 3855 1356 l 3838 1323 l 3820 1292 l 3802 1262 l 3783 1233 l 3764 1206 l 3745 1180 l 3726 1155 l 3706 1133 l 3686 1111 l 3666 1091 l 3646 1073 l 3626 1055 l 3605 1040 l 3584 1025 l 3563 1013 l 3539 1000 l 3515 989 l 3491 979 l 3466 971 l 3440 964 l 3414 959 l 3387 954 l 3359 951 l 3331 950 l 3302 950 l 3273 951 l 3243 953 l 3214 957 l 3184 962 l 3154 969 l 3124 977 l 3095 985 l 3066 996 l 3037 1007 l 3009 1019 l 2982 1032 l 2956 1046 l 2930 1061 l 2906 1076 l 2882 1093 l 2860 1110 l 2839 1127 l 2818 1145 l 2799 1164 l 2781 1183 l 2764 1202 l 2748 1223 l 2731 1245 l 2716 1268 l 2702 1291 l 2689 1316 l 2676 1342 l 2664 1369 l 2654 1397 l 2644 1426 l 2635 1456 l 2627 1488 l 2620 1520 l 2613 1554 l 2608 1588 l 2604 1623 l 2600 1659 l 2597 1696 l 2596 1733 l 2595 1770 l 2594 1808 l 2595 1846 l 2596 1884 l 2598 1922 l 2601 1960 l 2604 1997 l 2608 2035 l 2613 2073 l 2618 2110 l 2623 2147 l 2629 2185 l cp gs col-1 s gr % Polyline [60] 0 sd gs clippath 3624 2322 m 3746 2305 l 3647 2378 l 3797 2317 l 3775 2262 l cp clip n 3667 1710 m 3664 1710 l 3657 1709 l 3644 1709 l 3625 1708 l 3599 1707 l 3569 1705 l 3534 1704 l 3497 1703 l 3459 1702 l 3422 1701 l 3385 1700 l 3351 1700 l 3319 1701 l 3290 1702 l 3263 1703 l 3238 1705 l 3215 1708 l 3194 1711 l 3175 1715 l 3156 1720 l 3138 1725 l 3120 1732 l 3101 1739 l 3084 1747 l 3067 1757 l 3050 1767 l 3034 1778 l 3018 1791 l 3003 1804 l 2989 1818 l 2975 1833 l 2963 1848 l 2952 1863 l 2942 1879 l 2932 1896 l 2925 1912 l 2918 1928 l 2912 1944 l 2907 1960 l 2904 1976 l 2901 1993 l 2899 2009 l 2898 2025 l 2898 2042 l 2899 2060 l 2901 2077 l 2904 2096 l 2908 2114 l 2913 2133 l 2918 2151 l 2925 2170 l 2932 2188 l 2941 2206 l 2949 2223 l 2959 2240 l 2969 2255 l 2980 2270 l 2991 2284 l 3002 2297 l 3014 2310 l 3026 2321 l 3040 2333 l 3056 2345 l 3072 2355 l 3089 2365 l 3107 2375 l 3126 2384 l 3147 2392 l 3167 2399 l 3189 2406 l 3211 2411 l 3233 2416 l 3255 2419 l 3277 2422 l 3299 2424 l 3320 2424 l 3340 2424 l 3361 2424 l 3381 2422 l 3399 2420 l 3417 2417 l 3436 2414 l 3455 2410 l 3476 2404 l 3498 2398 l 3521 2391 l 3546 2382 l 3573 2373 l 3602 2362 l 3631 2351 l 3660 2340 l 3688 2329 l 3714 2319 l 3735 2310 l 3772 2295 l gs col0 s gr gr [] 0 sd % arrowhead n 3624 2322 m 3746 2305 l 3647 2378 l col0 s % Polyline [60] 0 sd gs clippath 2275 2272 m 2398 2271 l 2290 2331 l 2447 2290 l 2432 2232 l cp clip n 2475 2075 m 2474 2074 l 2471 2070 l 2463 2060 l 2452 2047 l 2439 2033 l 2425 2021 l 2413 2012 l 2400 2006 l 2386 2003 l 2372 2002 l 2362 2002 l 2351 2003 l 2339 2005 l 2327 2008 l 2314 2012 l 2301 2017 l 2287 2022 l 2273 2029 l 2260 2036 l 2248 2044 l 2236 2052 l 2225 2061 l 2215 2070 l 2207 2080 l 2199 2090 l 2193 2100 l 2188 2112 l 2184 2126 l 2181 2140 l 2180 2155 l 2181 2170 l 2183 2185 l 2186 2201 l 2191 2216 l 2196 2230 l 2203 2243 l 2211 2254 l 2219 2264 l 2227 2273 l 2237 2280 l 2248 2286 l 2261 2290 l 2276 2292 l 2294 2292 l 2314 2290 l 2337 2286 l 2362 2281 l 2386 2275 l 2425 2265 l gs col-1 s gr gr [] 0 sd % arrowhead n 2275 2272 m 2398 2271 l 2290 2331 l col-1 s % Polyline [60] 0 sd gs clippath 4475 2295 m 4598 2300 l 4487 2354 l 4646 2321 l 4634 2263 l cp clip n 4735 2185 m 4734 2185 l 4731 2182 l 4722 2177 l 4707 2169 l 4688 2159 l 4667 2147 l 4644 2136 l 4623 2125 l 4604 2116 l 4586 2109 l 4571 2104 l 4556 2100 l 4543 2098 l 4530 2097 l 4517 2097 l 4505 2098 l 4492 2101 l 4479 2104 l 4466 2109 l 4453 2115 l 4441 2122 l 4430 2130 l 4420 2138 l 4411 2146 l 4403 2155 l 4396 2165 l 4391 2174 l 4387 2183 l 4384 2193 l 4382 2203 l 4381 2213 l 4381 2224 l 4383 2235 l 4385 2245 l 4389 2256 l 4394 2266 l 4400 2276 l 4406 2284 l 4413 2292 l 4421 2298 l 4429 2304 l 4438 2308 l 4450 2312 l 4462 2315 l 4477 2316 l 4494 2315 l 4514 2313 l 4538 2310 l 4562 2307 l 4586 2303 l 4625 2295 l gs col-1 s gr gr [] 0 sd % arrowhead n 4475 2295 m 4598 2300 l 4487 2354 l col-1 s % Polyline [60] 0 sd gs clippath 3446 1221 m 3569 1213 l 3464 1278 l 3618 1229 l 3600 1172 l cp clip n 3595 1075 m 3594 1075 l 3591 1074 l 3583 1071 l 3568 1066 l 3549 1059 l 3525 1051 l 3499 1042 l 3472 1034 l 3447 1026 l 3423 1020 l 3401 1015 l 3381 1010 l 3363 1008 l 3345 1006 l 3328 1005 l 3312 1005 l 3293 1006 l 3273 1009 l 3253 1012 l 3233 1017 l 3213 1022 l 3193 1029 l 3173 1037 l 3155 1046 l 3138 1055 l 3122 1065 l 3108 1075 l 3096 1086 l 3086 1096 l 3078 1107 l 3073 1116 l 3068 1126 l 3065 1137 l 3063 1147 l 3062 1158 l 3063 1169 l 3064 1181 l 3067 1192 l 3071 1203 l 3076 1213 l 3082 1223 l 3088 1233 l 3096 1241 l 3103 1249 l 3111 1256 l 3120 1262 l 3131 1268 l 3142 1273 l 3154 1278 l 3168 1281 l 3183 1285 l 3198 1287 l 3214 1288 l 3231 1289 l 3248 1289 l 3265 1288 l 3282 1287 l 3299 1285 l 3315 1283 l 3332 1280 l 3346 1277 l 3361 1274 l 3377 1270 l 3393 1266 l 3412 1261 l 3432 1255 l 3455 1249 l 3478 1242 l 3503 1234 l 3528 1226 l 3551 1219 l 3570 1213 l 3595 1205 l gs col-1 s gr gr [] 0 sd % arrowhead n 3446 1221 m 3569 1213 l 3464 1278 l col-1 s % Polyline [60] 0 sd gs clippath 3720 3220 m 3778 3111 l 3778 3235 l 3818 3078 l 3760 3063 l cp clip n 3805 2835 m 3802 2834 l 3794 2832 l 3781 2828 l 3763 2822 l 3740 2816 l 3714 2808 l 3686 2800 l 3657 2793 l 3630 2785 l 3605 2779 l 3581 2773 l 3559 2769 l 3539 2765 l 3520 2762 l 3502 2759 l 3485 2758 l 3468 2757 l 3449 2756 l 3430 2756 l 3411 2757 l 3391 2759 l 3371 2762 l 3351 2765 l 3331 2770 l 3312 2775 l 3293 2781 l 3275 2788 l 3258 2796 l 3242 2805 l 3228 2814 l 3214 2824 l 3202 2834 l 3192 2845 l 3183 2856 l 3175 2867 l 3167 2879 l 3161 2892 l 3154 2906 l 3149 2921 l 3144 2936 l 3141 2952 l 3138 2969 l 3136 2986 l 3135 3003 l 3134 3020 l 3135 3036 l 3136 3052 l 3139 3068 l 3142 3084 l 3146 3099 l 3150 3113 l 3155 3128 l 3161 3142 l 3168 3157 l 3176 3171 l 3185 3186 l 3195 3200 l 3206 3214 l 3218 3228 l 3230 3242 l 3244 3255 l 3258 3267 l 3272 3278 l 3287 3289 l 3302 3298 l 3318 3307 l 3333 3314 l 3349 3321 l 3365 3327 l 3384 3332 l 3403 3337 l 3424 3340 l 3445 3343 l 3467 3345 l 3490 3345 l 3513 3345 l 3536 3343 l 3558 3341 l 3580 3337 l 3601 3333 l 3620 3328 l 3638 3322 l 3655 3315 l 3670 3308 l 3683 3300 l 3697 3290 l 3710 3279 l 3720 3265 l 3730 3250 l 3740 3232 l 3749 3211 l 3757 3188 l 3765 3163 l 3772 3139 l 3777 3117 l 3785 3085 l gs col-1 s gr gr [] 0 sd % arrowhead n 3720 3220 m 3778 3111 l 3778 3235 l col-1 s $F2psEnd rs %%EndDocument @endspecial 1596 992 a Fw(\015)2087 756 y(s)2133 771 y Ft(1)2383 1831 y Fw(N)38 b FB(=)27 b(5)2378 1721 y Fw(n)g FB(=)h(6)2375 1621 y Fw(m)2460 1636 y Fv(b)2522 1621 y FB(=)g(10)2370 1523 y Fw(m)2455 1538 y FC(1)2558 1523 y FB(=)f(4)994 2034 y(Figure)32 b(1:)43 b(the)33 b(c)m(haracteristic)f(manifold)e Fw(Z)120 2427 y Fo(1.2)135 b(Semi-classics)120 2611 y FB(Let)321 2586 y(^)296 2611 y Fw(H)41 b FB(b)s(e)34 b(a)f(quan)m(tum)h(Hamiltonian)c (\(semi-classical\))h(on)i Fw(X)41 b FB(whose)35 b(principal)d(sym)m(b) s(ol)120 2732 y(is)40 b Fw(H)307 2747 y Ft(0)347 2732 y FB(.)68 b(W)-8 b(e)41 b(do)f(not)h(assume)g(that)1533 2707 y(^)1508 2732 y Fw(H)48 b FB(is)40 b(a)h(self-adjoin)m(t)e(op)s (erator.)67 b(Let)41 b(us)h(denote)f(b)m(y)120 2852 y Fw(H)201 2867 y Ft(1)300 2852 y FB(:)61 b Fw(X)35 b Fs(!)28 b Fq(C)58 b FB(its)32 b(sub-principal)f(sym)m(b)s(ol)h(\(see)h([9]\).) 44 b(If)32 b Fw(X)k FB(=)27 b Fw(T)2587 2816 y Fv(?)2626 2852 y Fq(R)5 b FB(,)39 b(w)m(e)34 b(ha)m(v)m(e:)1173 3046 y(^)1147 3072 y Fw(H)i FB(=)27 b(Op)1497 3087 y Ft(W)1575 3072 y FB(\()p Fw(H)1694 3087 y Ft(0)1755 3072 y FB(+)22 b Fw(hH)1990 3087 y Ft(1)2030 3072 y FB(\))g(+)g Fw(O)s FB(\()p Fw(h)2360 3030 y Ft(2)2398 3072 y FB(\))33 b Fw(;)919 b FB(\(3\))120 3291 y(where)34 b Fw(O)s(p)529 3306 y Fv(W)641 3291 y FB(denotes)g(the)f Fp(Weyl)i(quantization)d FB(whic)m(h)h(is)f(de\014ned)i(b)m(y)664 3553 y(Op)794 3568 y Ft(W)872 3553 y FB(\()p Fw(H)8 b FB(\))p Fw(u)p FB(\()p Fw(x)p FB(\))26 b(=)1422 3486 y(1)p 1364 3530 164 4 v 1364 3622 a(2)p Fw(\031)t(h)1554 3418 y Fu(Z)1671 3553 y Fw(e)1733 3485 y Fn(i)p 1726 3497 37 3 v 1726 3538 a(h)1772 3512 y Ft(\()p Fv(x)p FC(\000)p Fv(y)r Ft(\))p Fv(\030)1996 3553 y Fw(H)8 b FB(\()2133 3486 y Fw(x)22 b FB(+)g Fw(y)p 2133 3530 227 4 v 2222 3622 a FB(2)2370 3553 y Fw(;)17 b(\030)5 b FB(\))p Fw(u)p FB(\()p Fw(y)t FB(\))p Fs(j)p Fw(dy)t(d\030)g Fs(j)27 b Fw(:)266 3816 y FB(The)j(previous)g(form)m(ula)d(ma)m(y)i(b)s(e)h (used)g(as)g(a)f(de\014nition)f(of)h(the)g(sub-principal)f(sym)m(b)s (ol)120 3936 y Fw(H)201 3951 y Ft(1)240 3936 y FB(.)120 4225 y Fo(1.3)135 b(Sp)t(ectrum)120 4409 y FB(Let)28 b(us)g(assume)h(that)e Fw(Z)35 b FB(is)27 b(a)g(compact)h(set.)42 b Fp(Singular)30 b(Bohr-Sommerfeld)e(c)-5 b(onditions)27 b FB(are)120 4530 y(geometric)35 b(conditions)f(whic)m(h)j(are)f(equiv) -5 b(alen)m(t)35 b(to)h(the)g(existence)h(of)e(functions)h Fw(u)f FB(whic)m(h)120 4650 y(satis\014es)1571 4844 y(^)1546 4870 y Fw(H)8 b(u)27 b FB(=)g Fw(O)s FB(\()p Fw(h)1993 4828 y Ft(2)2032 4870 y FB(\))p Fw(;)1318 b FB(\(4\))120 5089 y(are)33 b(microlo)s(calized)28 b(on)33 b Fw(Z)39 b FB(and)33 b(satisfy)g(the)g(lo)m(w)m(er)f(b)s(ound)2379 5009 y Fu(R)2462 5089 y Fs(j)p Fw(u)p FB(\()p Fw(x)p FB(\))p Fs(j)2705 5053 y Ft(2)2744 5089 y Fw(dx)27 b Fs(\030)i FB(1.)266 5222 y(In)h([8],)g(w)m(e)g(describ)s(ed)g(the)g (case)g(where)1784 5197 y(^)1759 5222 y Fw(H)35 b FB(=)2005 5197 y(^)1979 5222 y Fw(K)22 b Fs(\000)15 b Fw(\025h)30 b FB(\()2383 5197 y(^)2357 5222 y Fw(K)37 b FB(is)28 b(a)h(Sc)m(hr\177)-49 b(odinger)30 b(op)s(erator)120 5342 y(with)c Fw(K)419 5357 y Ft(1)486 5342 y FB(=)h(0\))f(and)g(then)h Fw(H)1182 5357 y Ft(1)1249 5342 y FB(=)g Fs(\000)p Fw(\025)p FB(.)42 b(The)27 b(v)-5 b(alues)26 b(of)f Fw(\025)h FB(for)f(whic)m(h)i (the)f(Bohr-Sommerfeld)120 5463 y(conditions)32 b(hold)f(corresp)s(ond) j(to)e(eigen)m(v)-5 b(alues)33 b Fw(h\025)f FB(of)2206 5438 y(^)2180 5463 y Fw(K)7 b FB(.)1806 5712 y(4)p eop %%Page: 5 5 5 4 bop 855 1724 a @beginspecial @setspecial %%BeginDocument: mats.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -30.0 194.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 5597 m -1000 -1000 l 7202 -1000 l 7202 5597 l cp clip 0.04200 0.04200 sc % Polyline 7.500 slw n 1068 3385 m 1085 3409 l 1103 3434 l 1123 3458 l 1144 3482 l 1166 3506 l 1189 3530 l 1214 3554 l 1241 3578 l 1268 3602 l 1297 3625 l 1328 3649 l 1360 3673 l 1393 3696 l 1428 3719 l 1464 3742 l 1502 3764 l 1540 3786 l 1580 3808 l 1621 3829 l 1663 3850 l 1706 3870 l 1750 3889 l 1794 3908 l 1839 3926 l 1885 3943 l 1931 3959 l 1978 3974 l 2025 3989 l 2072 4003 l 2119 4015 l 2167 4027 l 2214 4038 l 2262 4048 l 2310 4057 l 2358 4065 l 2406 4072 l 2454 4079 l 2502 4084 l 2551 4089 l 2600 4093 l 2643 4095 l 2686 4097 l 2730 4098 l 2774 4099 l 2819 4098 l 2865 4097 l 2911 4096 l 2958 4093 l 3005 4090 l 3053 4086 l 3101 4082 l 3150 4076 l 3199 4070 l 3249 4063 l 3299 4055 l 3350 4046 l 3401 4036 l 3451 4025 l 3502 4014 l 3553 4001 l 3604 3988 l 3654 3974 l 3704 3959 l 3754 3943 l 3803 3927 l 3852 3910 l 3900 3891 l 3947 3873 l 3994 3853 l 4039 3833 l 4083 3812 l 4127 3791 l 4169 3768 l 4210 3746 l 4250 3722 l 4289 3699 l 4327 3674 l 4363 3649 l 4398 3624 l 4432 3598 l 4465 3571 l 4496 3544 l 4526 3517 l 4555 3488 l 4583 3460 l 4610 3430 l 4637 3398 l 4663 3366 l 4688 3332 l 4711 3298 l 4734 3263 l 4756 3227 l 4777 3189 l 4797 3151 l 4816 3112 l 4834 3072 l 4851 3031 l 4867 2989 l 4883 2946 l 4897 2903 l 4910 2859 l 4922 2814 l 4933 2768 l 4943 2722 l 4952 2676 l 4960 2630 l 4967 2583 l 4973 2536 l 4978 2489 l 4981 2442 l 4984 2396 l 4986 2350 l 4986 2304 l 4986 2259 l 4984 2214 l 4982 2170 l 4979 2127 l 4975 2084 l 4970 2043 l 4964 2002 l 4958 1962 l 4951 1923 l 4943 1885 l 4934 1848 l 4924 1813 l 4914 1778 l 4904 1744 l 4892 1711 l 4880 1679 l 4868 1648 l 4852 1612 l 4836 1578 l 4818 1545 l 4800 1513 l 4781 1481 l 4760 1450 l 4739 1420 l 4716 1391 l 4692 1362 l 4668 1335 l 4642 1307 l 4615 1281 l 4587 1256 l 4558 1231 l 4527 1207 l 4496 1184 l 4465 1163 l 4432 1142 l 4398 1122 l 4364 1103 l 4330 1085 l 4295 1068 l 4259 1052 l 4223 1037 l 4187 1024 l 4150 1011 l 4114 999 l 4077 989 l 4041 979 l 4004 970 l 3968 962 l 3931 955 l 3895 949 l 3858 944 l 3822 939 l 3786 936 l 3749 932 l 3713 930 l 3676 928 l 3638 927 l 3601 926 l 3563 926 l 3524 927 l 3484 928 l 3444 930 l 3404 933 l 3363 936 l 3321 940 l 3278 944 l 3235 950 l 3191 955 l 3147 962 l 3103 969 l 3058 977 l 3014 986 l 2969 995 l 2924 1005 l 2879 1016 l 2834 1027 l 2790 1038 l 2746 1051 l 2702 1063 l 2659 1076 l 2617 1090 l 2576 1104 l 2535 1118 l 2494 1133 l 2455 1147 l 2417 1163 l 2379 1178 l 2342 1194 l 2306 1210 l 2270 1226 l 2235 1243 l 2201 1260 l 2168 1278 l 2132 1296 l 2098 1316 l 2063 1335 l 2029 1356 l 1995 1377 l 1961 1399 l 1926 1421 l 1893 1444 l 1859 1468 l 1825 1493 l 1791 1519 l 1758 1545 l 1725 1571 l 1692 1599 l 1659 1627 l 1627 1655 l 1595 1684 l 1564 1714 l 1533 1743 l 1503 1773 l 1474 1803 l 1445 1834 l 1417 1864 l 1390 1894 l 1364 1925 l 1339 1955 l 1315 1985 l 1292 2015 l 1269 2044 l 1248 2074 l 1227 2103 l 1207 2132 l 1188 2161 l 1170 2190 l 1152 2219 l 1135 2248 l 1118 2278 l 1101 2309 l 1084 2340 l 1068 2372 l 1053 2404 l 1039 2436 l 1025 2470 l 1012 2503 l 999 2537 l 987 2572 l 977 2607 l 967 2643 l 958 2679 l 950 2715 l 944 2751 l 938 2788 l 934 2824 l 931 2861 l 929 2897 l 929 2933 l 930 2969 l 933 3005 l 936 3039 l 941 3074 l 948 3108 l 956 3141 l 965 3173 l 976 3205 l 987 3237 l 1001 3267 l 1015 3297 l 1031 3327 l 1049 3356 l cp gs col7 0.95 shd ef gr gs col7 s gr % Polyline n 1245 2393 m 1227 2424 l 1210 2455 l 1193 2486 l 1178 2517 l 1163 2549 l 1150 2581 l 1137 2613 l 1125 2645 l 1114 2678 l 1105 2711 l 1096 2744 l 1089 2777 l 1083 2811 l 1078 2844 l 1074 2878 l 1072 2911 l 1071 2944 l 1071 2978 l 1073 3011 l 1076 3044 l 1081 3076 l 1087 3108 l 1095 3140 l 1104 3171 l 1114 3201 l 1126 3231 l 1139 3260 l 1154 3289 l 1170 3316 l 1188 3343 l 1206 3369 l 1226 3395 l 1248 3419 l 1271 3443 l 1295 3466 l 1320 3488 l 1347 3510 l 1375 3530 l 1404 3550 l 1435 3570 l 1464 3587 l 1495 3604 l 1527 3621 l 1561 3637 l 1595 3652 l 1632 3667 l 1669 3682 l 1708 3697 l 1749 3711 l 1791 3724 l 1834 3737 l 1878 3750 l 1924 3762 l 1971 3773 l 2019 3784 l 2068 3794 l 2118 3804 l 2169 3813 l 2220 3821 l 2273 3829 l 2325 3836 l 2379 3842 l 2432 3847 l 2486 3851 l 2539 3855 l 2593 3858 l 2646 3860 l 2699 3861 l 2752 3862 l 2804 3861 l 2855 3860 l 2906 3858 l 2956 3855 l 3005 3851 l 3053 3847 l 3101 3841 l 3147 3835 l 3193 3828 l 3237 3821 l 3281 3812 l 3323 3803 l 3365 3793 l 3405 3782 l 3445 3770 l 3486 3757 l 3526 3743 l 3565 3727 l 3604 3711 l 3642 3694 l 3680 3676 l 3717 3656 l 3754 3636 l 3790 3615 l 3825 3592 l 3861 3569 l 3895 3544 l 3930 3519 l 3963 3493 l 3996 3465 l 4029 3437 l 4061 3408 l 4092 3379 l 4122 3348 l 4152 3317 l 4181 3286 l 4209 3254 l 4236 3221 l 4262 3189 l 4287 3156 l 4312 3122 l 4335 3089 l 4358 3056 l 4379 3023 l 4400 2989 l 4419 2956 l 4438 2924 l 4456 2891 l 4473 2859 l 4489 2827 l 4504 2795 l 4518 2763 l 4532 2732 l 4545 2701 l 4557 2671 l 4569 2640 l 4580 2610 l 4592 2575 l 4604 2540 l 4615 2505 l 4625 2470 l 4634 2435 l 4642 2399 l 4650 2364 l 4657 2328 l 4663 2292 l 4668 2256 l 4672 2220 l 4675 2184 l 4676 2148 l 4677 2112 l 4676 2076 l 4675 2041 l 4672 2005 l 4667 1971 l 4662 1936 l 4655 1902 l 4647 1869 l 4637 1837 l 4626 1805 l 4614 1775 l 4601 1745 l 4587 1716 l 4571 1688 l 4554 1661 l 4536 1635 l 4517 1609 l 4496 1585 l 4474 1562 l 4451 1540 l 4427 1518 l 4402 1498 l 4375 1478 l 4350 1460 l 4323 1443 l 4295 1427 l 4266 1411 l 4236 1395 l 4204 1380 l 4170 1365 l 4136 1351 l 4100 1338 l 4062 1325 l 4023 1312 l 3983 1300 l 3942 1289 l 3899 1278 l 3856 1269 l 3811 1259 l 3765 1251 l 3719 1243 l 3671 1237 l 3623 1231 l 3575 1226 l 3526 1221 l 3477 1218 l 3427 1216 l 3378 1214 l 3329 1214 l 3279 1214 l 3230 1215 l 3182 1217 l 3133 1221 l 3086 1225 l 3038 1229 l 2992 1235 l 2946 1242 l 2900 1249 l 2855 1258 l 2811 1267 l 2767 1277 l 2723 1288 l 2680 1300 l 2639 1312 l 2599 1325 l 2558 1339 l 2517 1354 l 2477 1370 l 2436 1387 l 2396 1405 l 2355 1423 l 2314 1443 l 2274 1464 l 2233 1485 l 2192 1508 l 2151 1531 l 2111 1556 l 2070 1581 l 2030 1607 l 1990 1634 l 1950 1661 l 1911 1689 l 1872 1718 l 1834 1748 l 1797 1778 l 1760 1808 l 1724 1839 l 1689 1870 l 1654 1901 l 1621 1932 l 1589 1964 l 1557 1995 l 1527 2026 l 1498 2058 l 1469 2089 l 1442 2120 l 1416 2151 l 1391 2182 l 1367 2213 l 1345 2243 l 1323 2273 l 1302 2303 l 1282 2333 l 1263 2363 l cp gs col-1 s gr % Polyline 15.000 slw n 1650 675 m 1650 676 l 1651 678 l 1652 683 l 1655 690 l 1658 700 l 1662 714 l 1668 732 l 1675 753 l 1683 780 l 1693 810 l 1705 846 l 1718 885 l 1733 929 l 1749 977 l 1767 1029 l 1786 1085 l 1807 1144 l 1829 1205 l 1852 1269 l 1876 1335 l 1901 1402 l 1928 1470 l 1955 1538 l 1982 1606 l 2011 1674 l 2040 1741 l 2069 1806 l 2099 1870 l 2130 1933 l 2161 1993 l 2192 2051 l 2224 2106 l 2257 2159 l 2290 2209 l 2324 2256 l 2359 2301 l 2395 2342 l 2432 2381 l 2469 2417 l 2509 2450 l 2549 2481 l 2592 2509 l 2636 2535 l 2682 2559 l 2730 2580 l 2770 2596 l 2811 2610 l 2854 2624 l 2900 2636 l 2947 2647 l 2996 2658 l 3048 2667 l 3103 2675 l 3160 2682 l 3219 2688 l 3282 2693 l 3346 2698 l 3414 2701 l 3485 2704 l 3558 2706 l 3634 2707 l 3712 2707 l 3793 2706 l 3876 2705 l 3962 2704 l 4050 2701 l 4139 2699 l 4230 2695 l 4323 2691 l 4417 2687 l 4511 2682 l 4606 2677 l 4701 2672 l 4796 2667 l 4891 2661 l 4984 2655 l 5077 2649 l 5167 2643 l 5255 2637 l 5341 2631 l 5423 2625 l 5503 2619 l 5578 2613 l 5650 2608 l 5717 2603 l 5780 2598 l 5838 2593 l 5891 2589 l 5940 2585 l 5983 2581 l 6022 2578 l 6055 2575 l 6084 2573 l 6109 2571 l 6129 2569 l 6145 2568 l 6158 2567 l 6167 2566 l 6173 2566 l 6177 2565 l 6179 2565 l 6180 2565 l gs col-1 s gr % Polyline n 3000 570 m 3000 571 l 3000 573 l 3000 578 l 3000 585 l 3000 595 l 3001 609 l 3001 627 l 3001 649 l 3002 676 l 3002 707 l 3003 742 l 3003 782 l 3004 827 l 3004 876 l 3005 929 l 3005 986 l 3005 1046 l 3005 1109 l 3005 1174 l 3005 1242 l 3005 1311 l 3004 1382 l 3003 1453 l 3002 1524 l 3001 1596 l 2999 1667 l 2997 1737 l 2994 1805 l 2991 1873 l 2988 1939 l 2983 2003 l 2979 2065 l 2974 2125 l 2968 2184 l 2961 2240 l 2954 2294 l 2946 2346 l 2937 2395 l 2928 2443 l 2917 2490 l 2906 2534 l 2894 2577 l 2880 2619 l 2866 2660 l 2850 2700 l 2832 2741 l 2814 2782 l 2793 2822 l 2771 2863 l 2747 2903 l 2721 2944 l 2693 2986 l 2664 3028 l 2632 3071 l 2598 3114 l 2562 3158 l 2524 3204 l 2484 3250 l 2442 3297 l 2399 3345 l 2354 3393 l 2308 3442 l 2260 3492 l 2212 3542 l 2163 3591 l 2113 3641 l 2064 3690 l 2015 3739 l 1966 3786 l 1919 3832 l 1873 3876 l 1829 3919 l 1787 3959 l 1748 3996 l 1711 4031 l 1677 4063 l 1647 4092 l 1620 4117 l 1596 4139 l 1576 4158 l 1559 4174 l 1545 4187 l 1535 4197 l 1527 4204 l 1521 4209 l 1518 4213 l 1516 4214 l 1515 4215 l gs col-1 s gr % Polyline n 765 1890 m 766 1890 l 769 1892 l 773 1894 l 781 1897 l 792 1901 l 807 1907 l 825 1915 l 848 1925 l 875 1936 l 907 1949 l 942 1964 l 982 1981 l 1026 2000 l 1073 2020 l 1124 2042 l 1177 2065 l 1232 2089 l 1289 2114 l 1347 2140 l 1406 2167 l 1465 2194 l 1524 2221 l 1583 2248 l 1640 2275 l 1696 2303 l 1751 2330 l 1805 2357 l 1856 2384 l 1906 2411 l 1953 2437 l 1999 2464 l 2043 2490 l 2086 2517 l 2126 2544 l 2165 2571 l 2203 2598 l 2239 2626 l 2275 2655 l 2310 2685 l 2341 2713 l 2373 2742 l 2404 2772 l 2435 2804 l 2467 2837 l 2499 2872 l 2532 2909 l 2565 2948 l 2599 2988 l 2634 3031 l 2670 3076 l 2706 3122 l 2744 3171 l 2782 3222 l 2821 3274 l 2860 3328 l 2901 3383 l 2941 3439 l 2982 3496 l 3023 3554 l 3064 3612 l 3105 3670 l 3145 3727 l 3184 3783 l 3222 3838 l 3259 3892 l 3294 3943 l 3327 3991 l 3358 4037 l 3387 4079 l 3413 4118 l 3437 4153 l 3458 4184 l 3477 4211 l 3493 4235 l 3506 4254 l 3516 4270 l 3525 4282 l 3531 4292 l 3535 4298 l 3538 4302 l 3539 4304 l 3540 4305 l gs col-1 s gr % Polyline n 4575 735 m 4574 736 l 4573 738 l 4571 741 l 4567 747 l 4561 755 l 4554 766 l 4544 781 l 4532 798 l 4518 819 l 4502 843 l 4483 870 l 4463 901 l 4440 935 l 4415 971 l 4389 1011 l 4361 1052 l 4332 1096 l 4302 1141 l 4271 1187 l 4239 1234 l 4208 1282 l 4176 1331 l 4144 1379 l 4112 1427 l 4081 1475 l 4050 1523 l 4020 1570 l 3990 1617 l 3961 1663 l 3932 1708 l 3904 1753 l 3877 1798 l 3850 1842 l 3823 1887 l 3796 1931 l 3770 1976 l 3744 2021 l 3717 2068 l 3690 2115 l 3669 2152 l 3647 2191 l 3625 2230 l 3603 2271 l 3580 2314 l 3556 2358 l 3531 2403 l 3505 2451 l 3478 2501 l 3451 2552 l 3422 2606 l 3393 2662 l 3362 2720 l 3330 2780 l 3298 2842 l 3264 2906 l 3230 2972 l 3194 3039 l 3158 3109 l 3122 3179 l 3084 3251 l 3046 3324 l 3008 3397 l 2970 3471 l 2931 3545 l 2893 3619 l 2855 3692 l 2818 3764 l 2781 3835 l 2746 3904 l 2711 3971 l 2678 4036 l 2646 4098 l 2616 4156 l 2587 4212 l 2561 4263 l 2536 4311 l 2514 4354 l 2493 4393 l 2475 4428 l 2460 4459 l 2446 4486 l 2434 4509 l 2425 4527 l 2417 4542 l 2411 4554 l 2406 4563 l 2403 4568 l 2401 4572 l 2400 4574 l 2400 4575 l gs col-1 s gr % Polyline 7.500 slw n 1777 2213 m 1890 2422 l 1657 2415 l gs col-1 s gr % Polyline n 2385 2070 m 2145 1957 l 2190 2183 l gs col-1 s gr % Polyline n 3000 1590 m 3007 1605 l 3007 1597 l gs col-1 s gr % Polyline n 3307 4110 m 3480 4185 l 3472 4027 l gs col-1 s gr % Polyline n 2392 4245 m 2655 4118 l 2662 4358 l gs col-1 s gr % Polyline n 4148 1118 m 4418 990 l 4403 1267 l gs col-1 s gr % Polyline n 2985 637 m 2985 622 l gs col-1 s gr % Polyline n 1642 1103 m 1702 817 l 1905 975 l gs col-1 s gr % Polyline n 832 1785 m 945 1980 l 735 2070 l gs col-1 s gr % Polyline n 5055 2475 m 4875 2625 l 5093 2715 l gs col-1 s gr % Polyline n 3120 2498 m 3233 2707 l 3000 2700 l gs col-1 s gr % Polyline n 2940 3263 m 2700 3150 l 2745 3376 l gs col-1 s gr % Polyline n 3075 2925 m 3150 3150 l 3375 3000 l gs col0 s gr % Polyline n 2625 2850 m 2850 2700 l 2850 2925 l gs col0 s gr % Polyline n 2775 750 m 3000 1050 l 3150 750 l gs col0 s gr % Polyline n 1650 3825 m 1650 4050 l 1875 4125 l gs col0 s gr $F2psEnd rs %%EndDocument @endspecial 2098 399 a Fv(Z)2035 955 y(D)2151 1360 y(U)1754 507 y(@)t(D)1408 1928 y FB(Figure)31 b(2:)44 b Fs(S)c FB(matrix)120 2321 y Fo(1.4)180 b Fm(S)54 b Fo(matrix)120 2506 y FB(Let)24 b(us)g(assume)h(that)e Fw(Z)31 b FB(admits)22 b(op)s(en)i(edges.)42 b(Eac)m(h)25 b(one)f(is)f(orien)m(ted)h(b)m(y)g (the)h(Hamiltonian)120 2626 y(\015o)m(w)34 b(of)f Fw(H)517 2641 y Ft(0)556 2626 y FB(.)47 b(There)34 b(are)g(as)g(man)m(y)f (out-going)f(edges)i(as)g(in-going)d(edges.)47 b(Let)34 b(us)g(denote)120 2746 y(b)m(y)k Fs(H)344 2761 y FC(1)455 2746 y FB(the)f(direct)g(sum)f(for)g(all)f(op)s(en)i(edges)g(of)f(the)h (microlo)s(cal)c(solutions)j(of)3227 2721 y(^)3202 2746 y Fw(H)8 b(u)34 b FB(=)g(0)120 2867 y(on)41 b(these)h(edges.)70 b Fs(H)930 2882 y FC(1)1046 2867 y FB(is)40 b(a)h Fq(C)20 b FB(\()p Fw(h)p FB(\))p Fs(\000)q FB(mo)s(dule)45 b(of)c(rank)g Fw(m)2314 2882 y FC(1)2389 2867 y FB(.)69 b(The)42 b(space)g Fs(H)3047 2882 y FC(1)3163 2867 y FB(admits)d(a)120 2987 y(natural)d(decomp)s(osition)g(in)m(to)g(a)h(sum)g(of)g(2)g(subspaces)j (of)d(the)g(same)h(dimension)e Fs(H)3354 3002 y FC(1)3464 2987 y FB(=)120 3107 y Fs(H)204 3122 y Fv(in)304 3107 y Fs(\010)29 b(H)494 3122 y Fv(out)598 3107 y FB(.)72 b(W)-8 b(e)42 b(call)e Fs(S)7 b FB(-)p Fp(matrix)42 b FB(of)1628 3082 y(^)1602 3107 y Fw(H)50 b FB(the)42 b(subspace)i(of)d Fs(H)2531 3122 y FC(1)2648 3107 y FB(de\014ned)i(as)f(the)h(set)f(of) 120 3228 y(microlo)s(cal)j(solutions)i(of)1180 3203 y(^)1155 3228 y Fw(H)8 b(u)54 b FB(=)h(0)48 b(on)g(op)s(en)h(edges)g(whic)m(h)g (admit)e(an)h(extension)i(as)120 3348 y(solutions)45 b(on)h(the)h(whole)e(set)i Fw(Z)7 b FB(.)84 b(This)46 b(space)h(is)f(in)f(general)h(the)g(graph)g(of)g(a)g(linear)120 3469 y(mapping)31 b(from)g Fs(H)835 3484 y Fv(in)939 3469 y FB(in)m(to)h Fs(H)1221 3484 y Fv(out)1326 3469 y FB(.)266 3589 y Fy(Unitarit)m(y)-9 b(.)266 3709 y FB(Let)32 b(us)g(assume)h(that)1136 3684 y(^)1111 3709 y Fw(H)39 b FB(is)31 b(self-adjoin)m(t,)g(w)m(e)h(w)m(an)m(t)h(to)e(de\014ne)i (some)f(Hermitian)d(form)120 3830 y Fw(J)56 b FB(on)46 b Fs(H)463 3845 y FC(1)538 3830 y FB(.)86 b(Let)47 b Fw(D)j FB(b)s(e)d(a)f(domain)f(with)i(b)s(oundary)g Fw(@)5 b(D)50 b FB(in)c Fw(X)54 b FB(whic)m(h)48 b(con)m(tains)f(the)120 3950 y(compact)31 b(edges)i(of)e Fw(Z)39 b FB(and)32 b(suc)m(h)h(that)e Fw(@)5 b(D)36 b FB(in)m(tersects)d(transv)m(ersally) f(eac)m(h)g(op)s(en)g(edge)g(at)120 4070 y(1)i(p)s(oin)m(t.)49 b(Let)35 b(\012)f(b)s(e)h(a)g(neigh)m(b)s(orho)s(o)s(d)e(of)h Fw(@)5 b(D)38 b FB(in)c Fw(X)42 b FB(whic)m(h)35 b(in)m(tersects)h (only)e(op)s(en)h(edges)120 4191 y(and)g Fw(U)42 b FB(=)31 b Fw(D)26 b Fs([)e FB(\012.)50 b(Let)35 b(\005)g(b)s(e)g(a)f (self-adjoin)m(t)f(PDO)i(of)f(order)h(0)f(whose)i(microsupp)s(ort)d(is) 120 4311 y(con)m(tained)40 b(in)f Fw(U)50 b FB(and)40 b(whic)m(h)g(is)g(microlo)s(cally)35 b(equal)40 b(to)f(Id)h(in)f(some)h (neigh)m(b)s(orho)s(o)s(d)e(of)120 4432 y Fw(D)27 b Fs(n)d FB(\012.)54 b(Let)36 b(\006)g(b)s(e)g(another)g(self-adjoin)m(t)e(PDO)i (whic)m(h)g(v)-5 b(anishes)36 b(microlo)s(cally)c(in)j(some)120 4552 y(other)c(neigh)m(b)s(orho)s(o)s(d)f(of)h Fw(D)21 b Fs(n)e FB(\012)31 b(and)h(whic)m(h)f(coincides)g(with)g(Id)g(where)h (\005)f(do)s(es)h(not.)43 b(Let)120 4672 y(us)33 b(put:)736 4833 y Fw(J)9 b FB(\()p Fw(u;)17 b(v)t FB(\))27 b(=)1178 4765 y Fw(i)p 1167 4810 57 4 v 1167 4901 a(h)1233 4833 y FB(\()p Fw(<)g FB(\006)1470 4808 y(^)1444 4833 y Fw(H)8 b FB(\005)p Fw(u)32 b Fs(j)g FB(\005)p Fw(v)g(>)c Fs(\000)g Fw(<)f FB(\005)p Fw(u)32 b Fs(j)h FB(\006)2535 4808 y(^)2510 4833 y Fw(H)8 b FB(\005)p Fw(v)31 b(>)p FB(\))h Fw(:)120 5033 y FB(The)c(microlo)s(cal)c(solutions)i(on)h(di\013eren)m(t)h(op)s (en)f(edges)h(are)g Fw(J)9 b Fs(\000)p FB(orthogonals)26 b(and)h(the)h(form)120 5153 y Fw(J)41 b FB(is)32 b(p)s(ositiv)m(e)f (\(resp.)44 b(negativ)m(e\))32 b(de\014nite)g(on)g(the)h(in-going)c (\(resp.)44 b(out-going\))30 b(edges.)45 b(In)1806 5712 y(5)p eop %%Page: 6 6 6 5 bop 120 407 a FB(fact,)32 b(w)m(e)i(ha)m(v)m(e:)570 660 y Fw(J)9 b FB(\()p Fw(u;)17 b(v)t FB(\))26 b(=)1011 592 y Fw(i)p 1000 637 57 4 v 1000 728 a(h)1094 660 y(<)h FB(\005[\006)p Fw(;)1437 634 y FB(^)1411 660 y Fw(H)8 b FB(]\005)p Fw(u)p Fs(j)p Fw(v)31 b(>)p FB(=)1963 592 y Fw(i)p 1951 637 V 1951 728 a(h)2045 660 y(<)d FB([\006)p Fw(;)2315 634 y FB(^)2290 660 y Fw(H)7 b FB(])p Fw(u)p Fs(j)p Fw(v)31 b(>)d FB(+)p Fw(O)s FB(\()p Fw(h)2919 619 y FC(1)2993 660 y FB(\))k Fw(:)120 903 y FB(It)37 b(is)f(p)s(ossible)h(to)f(compute)h Fw(J)9 b FB(\()p Fw(u;)17 b(u)p FB(\))35 b(for)i(an)m(y)g(microlo)s(cal)c(solution)j Fw(u)g FB(on)h(the)g(edge)h Fw(e)f FB(in)120 1024 y(terms)29 b(of)g(his)f(principal)f(sym)m(b)s(ol)i Fw(\033)1433 1039 y Ft(0)1473 1024 y FB(\()p Fw(u)p FB(\))f(whic)m(h)i(is)e(an)h (half-densit)m(y)g(on)g Fw(e)g FB(in)m(v)-5 b(arian)m(t)28 b(b)m(y)i(the)120 1144 y(Hamiltonian)f(\015o)m(w)k(of)f Fw(H)1076 1159 y Ft(0)1115 1144 y FB(.)120 1364 y Fy(Lemma)37 b(1)1278 1519 y Fw(J)9 b FB(\()p Fw(u;)17 b(u)p FB(\))27 b(=)g Fs(\006)1790 1452 y(j)p Fw(\033)1873 1467 y Ft(0)1913 1452 y Fs(j)1941 1415 y Ft(2)p 1790 1496 190 4 v 1815 1587 a Fs(j)p Fw(dt)p Fs(j)2012 1519 y FB(+)22 b Fw(O)s FB(\()p Fw(h)p FB(\))35 b Fw(;)120 1741 y Fp(with)g(the)g FB(+)f Fp(sign)h(for)f(an)h(out-going)f(e)-5 b(dge)34 b(and)h(the)f Fs(\000)i Fp(sign)e(for)h(an)f(in-going)g(e)-5 b(dge.)44 b(Her)-5 b(e)120 1861 y Fs(j)p Fw(\033)203 1876 y Ft(0)243 1861 y Fs(j)271 1825 y Ft(2)310 1861 y Fw(=dt)40 b Fp(denotes)g(the)h(quotient)g(of)g(a)f(density)h(\(squar) -5 b(e)40 b(of)h(an)f(half-density\))g(by)h Fw(dt)g Fp(and)120 1981 y(not)35 b(a)g(derivative.)120 2202 y FB(This)44 b(lemma)e(comes)i(from)e(the)i(computation)f(of)g(the)h(sym)m(b)s(ol)f (of)h(the)g(brac)m(k)m(et)h([\006)p Fw(;)3450 2176 y FB(^)3424 2202 y Fw(H)8 b FB(])120 2322 y(whic)m(h)33 b(is)507 2283 y Fv(h)p 507 2299 41 4 v 515 2356 a(i)568 2283 y(d\033)p 568 2299 80 4 v 577 2356 a(dt)689 2322 y FB(if)f(w)m(e)h(denote)h(b)m(y)f Fw(\033)k FB(the)c(principal)d(sym)m (b)s(ol)i(of)g(\006.)266 2442 y(W)-8 b(e)33 b(ha)m(v)m(e)h(then)f(the:) 120 2640 y Fy(Theorem)k(1)49 b Fp(L)-5 b(et)39 b(us)f(put)i Fs(H)1260 2655 y FC(1)1369 2640 y FB(=)34 b Fs(H)1563 2655 y Fv(in)1659 2640 y Fs(\010)26 b(H)1846 2655 y Fv(out)1950 2640 y Fp(,)40 b(then,)f(up)g(to)f Fw(O)s FB(\()p Fw(h)2704 2603 y FC(1)2778 2640 y FB(\))p Fp(,)i(the)e Fs(S)7 b Fp(-matrix)39 b(is)120 2760 y(the)44 b(gr)-5 b(aph)42 b(of)i(an)f(unitary)h(mapping)e(fr)-5 b(om)43 b Fs(H)1912 2775 y Fv(in)2027 2760 y Fp(to)g Fs(H)2236 2775 y Fv(out)2385 2760 y Fp(with)g(r)-5 b(esp)g(e)g(ct)43 b(to)h(the)f(metrics)120 2880 y(induc)-5 b(e)g(d)34 b(r)-5 b(esp)g(e)g(ctively)35 b(by)g Fw(J)44 b Fp(on)34 b Fs(H)1429 2895 y Fv(out)1569 2880 y Fp(and)g Fs(\000)p Fw(J)44 b Fp(on)35 b Fs(H)2157 2895 y Fv(in)2263 2880 y Fp(.)120 3078 y FB(Isotrop)m(y)j(is)f(clear,)h (b)s(ecause)h(if)d Fw(u)g FB(is)h(a)g(solution)f(in)g Fw(U)10 b FB(,)40 b(\006)2347 3052 y(^)2322 3078 y Fw(H)8 b FB(\005)p Fw(u)35 b FB(=)2712 3052 y(^)2686 3078 y Fw(H)8 b FB(\005)p Fw(u)p FB(.)57 b(The)38 b(theorem)120 3198 y(is)j(then)h(pro)m(v)m(ed)h(b)m(y)g(induction)d(on)h(the)h(n)m (um)m(b)s(er)g(of)f(compact)g(edges.)72 b(If)41 b(there)i(are)e(no)120 3318 y(compact)i(edges,)k(w)m(e)e(kno)m(w)f(already)f(that)h(the)g (dimension)e(of)h(the)g(space)i(of)e(solutions)120 3439 y(is)37 b(half)g(the)h(n)m(um)m(b)s(er)h(of)e(op)s(en)h(edges)h(b)s (ecause)g(in)e(that)h(case,)i Fw(Z)45 b FB(is)37 b(an)h(union)f(of)g (simple)120 3559 y(crosses.)62 b(Gluing)36 b(b)s(oundaries)i(of)g(a)g (cut)g(edge)h(can)g(b)s(e)f(iden)m(ti\014ed)g(with)g(a)g(reduction)g (on)120 3680 y(the)33 b Fs(S)7 b FB(-matrix.)42 b(More)33 b(precisely)-8 b(,)33 b(w)m(e)h(use)f(the:)120 3877 y Fy(Lemma)k(2)49 b Fp(L)-5 b(et)46 b Fw(H)55 b FB(=)47 b Fw(H)1141 3892 y Ft(+)1230 3877 y Fs(\010)31 b Fw(H)1419 3892 y FC(\000)1523 3877 y Fp(wher)-5 b(e)45 b Fw(H)1890 3892 y Ft(+)1995 3877 y Fp(and)g Fw(H)2276 3892 y FC(\000)2380 3877 y Fp(ar)-5 b(e)46 b(2)f(Hilb)-5 b(ert)46 b(sp)-5 b(ac)g(es)45 b(of)g(the)120 3997 y(same)35 b(\014nite)g(dimension)e (and)i Fw(U)k FB(:)29 b Fw(H)1522 4012 y FC(\000)1609 3997 y Fs(!)g Fw(H)1819 4012 y Ft(+)1913 3997 y Fp(b)-5 b(e)35 b(a)g(line)-5 b(ar)35 b(isometry)g(whose)f(gr)-5 b(aph)35 b(is)g FB(\000)p Fp(.)120 4118 y Fw(e)165 4133 y FC(\006)252 4118 y Fs(2)28 b Fw(H)427 4133 y FC(\006)519 4118 y Fp(ar)-5 b(e)33 b(2)g(ve)-5 b(ctors)33 b(of)f(length)h(1)g(and)g Fw(K)1843 4133 y FC(\006)1935 4118 y Fp(ar)-5 b(e)33 b(the)g(ortho)-5 b(gonals)32 b(of)h Fq(C)20 b Fw(e)2998 4133 y FC(\006)3063 4118 y Fp(.)44 b(L)-5 b(et)33 b Fw(e)3348 4081 y Fv(i\013)3455 4118 y Fp(b)-5 b(e)120 4238 y(a)35 b(c)-5 b(omplex)33 b(numb)-5 b(er)35 b(of)f(mo)-5 b(dulus)35 b FB(1)g Fp(and)394 4451 y FB(\000)455 4466 y Ft(1)522 4451 y FB(=)28 b Fs(f)p FB(\()p Fw(z)759 4466 y FC(\000)818 4451 y Fw(;)17 b(z)907 4466 y Ft(+)966 4451 y FB(\))28 b Fs(2)g Fw(K)1209 4466 y FC(\000)1290 4451 y Fs(\010)23 b Fw(K)1473 4466 y Ft(+)1532 4451 y Fs(j)34 b(9)p Fw(y)d Fs(2)d Fq(C)20 b Fw(;)58 b FB(\()p Fw(z)2056 4466 y FC(\000)2137 4451 y FB(+)22 b Fw(y)t(e)2332 4466 y FC(\000)2391 4451 y Fw(;)17 b(z)2480 4466 y Ft(+)2561 4451 y FB(+)22 b Fw(e)2704 4410 y Fv(i\013)2778 4451 y Fw(y)t(e)2875 4466 y Ft(+)2933 4451 y FB(\))28 b Fs(2)g FB(\000)p Fs(g)34 b Fw(:)120 4664 y Fp(Then)g FB(\000)435 4679 y Ft(1)509 4664 y Fp(is)h(the)g(gr)-5 b(aph)34 b(of)h(an)f(unitary)i(mapping)d(fr) -5 b(om)34 b Fw(K)2344 4679 y FC(\000)2438 4664 y Fp(into)h Fw(K)2723 4679 y Ft(+)2782 4664 y Fp(.)120 4861 y FB(The)f(pro)s(of)d (is)h(elemen)m(tary)-8 b(.)266 4981 y(W)g(e)31 b(then)f(apply)g(the)g (lemma.)40 b(Giv)m(en)30 b Fw(Z)7 b FB(,)31 b Fw(Z)1912 4996 y Ft(1)1981 4981 y FB(is)e(obtained)g(b)m(y)i(cutting)f(some)f (compact)120 5102 y(edge)41 b(of)f Fw(Z)48 b FB(and)40 b(replacing)g(it)f(b)m(y)j(one)e(in-going)e(and)j(one)g(out-going)d (edge)j(of)g Fw(Z)3267 5117 y Ft(1)3306 5102 y FB(.)67 b Fw(H)3481 5117 y FC(\006)120 5222 y FB(are)37 b(related)g(to)g Fw(Z)808 5237 y Ft(1)885 5222 y FB(and)g Fw(K)1162 5237 y FC(\006)1259 5222 y FB(are)g(related)g(to)g Fw(Z)7 b FB(.)58 b(The)38 b(functions)f Fw(e)2714 5237 y FC(\006)2811 5222 y FB(are)g Fw(J)9 b FB(-normalized)120 5342 y(microlo)s(cal)33 b(solutions)i(at)h(b)s(oth)g(ends)i(of)e(the)h(cut)g(edge)g(and)f Fw(y)2514 5357 y Ft(+)2607 5342 y FB(=)e Fw(e)2762 5306 y Fv(i\013)2836 5342 y Fw(y)2884 5357 y FC(\000)2979 5342 y FB(expresses)40 b(the)120 5463 y(gluing)31 b(of)h(b)s(oth)g (solutions.)1806 5712 y(6)p eop %%Page: 7 7 7 6 bop 120 407 a Fx(2)161 b(Semi-classical)56 b(in)l(v)-9 b(arian)l(ts)54 b(of)g(cycles)120 626 y FB(T)-8 b(o)40 b(eac)m(h)g(cycle)h Fw(\015)j FB(of)c Fw(Z)7 b FB(,)41 b(w)m(e)g(asso)s(ciate)e(3)h(n)m(um)m(b)s(ers:)58 b(the)41 b Fp(princip)-5 b(al)40 b(action)80 b Fw(A)3206 641 y Fv(\015)3291 626 y FB(\(more)120 746 y(precisely)33 b(exp)q(\()724 707 y Fv(i)p 716 723 41 4 v 716 781 a(h)766 746 y Fw(A)839 761 y Fv(\015)884 746 y FB(\)\),)f(the)h Fp(sub-princip)-5 b(al)34 b(action)e Fw(I)2101 761 y Fv(\015)2178 746 y FB(and)h(the)g Fp(Maslov)h(index)67 b Fw(m)p FB(\()p Fw(\015)5 b FB(\).)120 1029 y Fo(2.1)135 b(Principal)46 b(actions)f Fl(A)1547 1047 y FD(\015)120 1214 y FB(If)33 b Fw(\015)k FB(is)32 b(a)g(cycle)i(of)e Fw(Z)7 b FB(,)32 b(w)m(e)i(put:)1541 1436 y Fw(A)1614 1451 y Fv(\015)1686 1436 y FB(=)1790 1300 y Fu(Z)1845 1526 y Fv(\015)1906 1436 y Fw(\030)5 b(dx)32 b(:)1296 b FB(\(5\))120 1675 y(If)25 b Fw(\015)32 b FB(=)c Fw(@)5 b(D)28 b FB(is)c(the)h(b)s (oundary)g(of)f(a)h(compact)f(domain)f Fw(D)k FB(of)d(the)h(phase)h (space,)h(the)f(n)m(um)m(b)s(er)120 1796 y Fw(A)193 1811 y Fv(\015)270 1796 y FB(is)32 b(the)h(symplectic)f(area)h(of)f(the)h Fw(D)s FB(.)120 2078 y Fo(2.2)135 b(Sub-principal)44 b(actions)i Fl(I)1763 2096 y FD(\015)120 2263 y FB(If)26 b Fs(X)282 2278 y Fv(H)340 2287 y Fr(0)404 2263 y FB(is)f(the)h (symplectic)f(gradien)m(t)g(of)g Fw(H)1689 2278 y Ft(0)1728 2263 y FB(,)i(w)m(e)g(denote)f(b)m(y)h Fw(dt)e FB(the)h(asso)s(ciated)g (di\013eren)m(tial)120 2383 y(form)31 b(on)i Fw(Z)c Fs(n)22 b Fw(Z)721 2398 y Ft(0)793 2383 y FB(de\014ned)34 b(b)m(y:)1545 2563 y Fw(dt)p FB(\()p Fs(X)1740 2578 y Fv(H)1798 2587 y Fr(0)1837 2563 y FB(\))28 b(=)f(1)32 b Fw(:)1301 b FB(\(6\))266 2742 y(The)38 b(n)m(um)m(b)s(ers)g Fw(I)912 2757 y Fv(\015)993 2742 y FB(are)f Fp(princip)-5 b(al)38 b(p)-5 b(arts)75 b FB(of)36 b(the)i(div)m(ergen)m(t)f(in)m(tegrals)2967 2662 y Fu(R)3014 2777 y Fv(\015)3075 2742 y Fw(H)3156 2757 y Ft(1)3195 2742 y Fw(dt)p FB(.)57 b(It)36 b(is)120 2862 y(enough)d(to)f(describ)s(ed)i(ho)m(w)f(principal)d(parts)j (should)g(b)s(e)f(deriv)m(ed)i(near)f(saddle)f(p)s(oin)m(ts.)998 4516 y @beginspecial @setspecial %%BeginDocument: pp.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -15.0 197.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /DrawEllipse { /endangle exch def /startangle exch def /yrad exch def /xrad exch def /y exch def /x exch def /savematrix mtrx currentmatrix def x y tr xrad yrad sc 0 0 1 startangle endangle arc closepath savematrix setmatrix } def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 5677 m -1000 -1000 l 6037 -1000 l 6037 5677 l cp clip 0.04200 0.04200 sc % Polyline 7.500 slw n 2250 2835 m 2910 2775 l 2910 1995 l 2175 2025 l gs col7 0.95 shd ef gr gs col7 s gr % Polyline n 2925 2745 m 2910 1995 l 2190 2040 l gs col-1 s gr % Ellipse n 4125 2460 67 67 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col-1 s gr % Ellipse n 2430 885 67 67 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col-1 s gr % Ellipse n 2895 2760 67 67 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col-1 s gr % Ellipse n 2175 2025 67 67 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col-1 s gr % Polyline n 390 2445 m 392 2446 l 396 2447 l 403 2449 l 415 2453 l 432 2458 l 454 2464 l 481 2473 l 514 2483 l 552 2494 l 594 2507 l 641 2521 l 691 2535 l 743 2550 l 797 2566 l 853 2582 l 908 2597 l 963 2613 l 1018 2627 l 1071 2642 l 1124 2655 l 1174 2668 l 1223 2680 l 1271 2692 l 1317 2702 l 1362 2712 l 1405 2721 l 1447 2729 l 1488 2737 l 1529 2744 l 1569 2750 l 1609 2756 l 1648 2762 l 1688 2767 l 1727 2771 l 1768 2775 l 1804 2778 l 1841 2781 l 1878 2784 l 1916 2786 l 1955 2788 l 1994 2790 l 2034 2792 l 2075 2793 l 2117 2794 l 2159 2794 l 2202 2795 l 2246 2794 l 2290 2794 l 2335 2793 l 2381 2792 l 2427 2790 l 2473 2788 l 2520 2786 l 2567 2783 l 2615 2780 l 2662 2777 l 2709 2773 l 2756 2769 l 2803 2765 l 2850 2760 l 2896 2755 l 2942 2750 l 2987 2744 l 3032 2739 l 3076 2732 l 3120 2726 l 3163 2719 l 3205 2713 l 3247 2705 l 3288 2698 l 3328 2690 l 3368 2683 l 3407 2674 l 3446 2666 l 3485 2658 l 3523 2649 l 3562 2639 l 3600 2630 l 3638 2620 l 3677 2609 l 3715 2598 l 3755 2586 l 3795 2574 l 3836 2561 l 3878 2548 l 3921 2533 l 3965 2518 l 4011 2502 l 4058 2485 l 4107 2467 l 4157 2449 l 4209 2429 l 4262 2409 l 4317 2388 l 4372 2366 l 4429 2344 l 4485 2321 l 4542 2299 l 4598 2276 l 4652 2254 l 4705 2233 l 4755 2212 l 4802 2193 l 4845 2175 l 4884 2159 l 4918 2145 l 4947 2133 l 4971 2123 l 4990 2115 l 5004 2109 l 5014 2105 l 5020 2102 l 5024 2101 l 5025 2100 l gs col-1 s gr % Polyline n 2745 285 m 2744 286 l 2743 290 l 2740 296 l 2736 306 l 2729 320 l 2721 339 l 2710 363 l 2698 391 l 2683 425 l 2667 462 l 2649 504 l 2630 549 l 2610 596 l 2589 646 l 2567 697 l 2546 749 l 2525 801 l 2504 853 l 2483 904 l 2464 955 l 2445 1004 l 2427 1052 l 2410 1099 l 2394 1144 l 2379 1188 l 2365 1230 l 2352 1272 l 2340 1312 l 2328 1352 l 2318 1390 l 2308 1429 l 2299 1466 l 2290 1504 l 2283 1541 l 2275 1579 l 2269 1617 l 2263 1655 l 2257 1692 l 2252 1729 l 2247 1766 l 2243 1805 l 2239 1844 l 2235 1883 l 2232 1923 l 2229 1964 l 2226 2006 l 2224 2049 l 2222 2092 l 2220 2136 l 2219 2180 l 2218 2225 l 2217 2271 l 2217 2317 l 2217 2363 l 2217 2410 l 2218 2457 l 2219 2504 l 2220 2550 l 2221 2597 l 2223 2644 l 2225 2690 l 2228 2736 l 2230 2781 l 2233 2826 l 2236 2870 l 2239 2914 l 2243 2957 l 2246 2999 l 2250 3040 l 2254 3081 l 2258 3120 l 2262 3160 l 2267 3198 l 2271 3236 l 2276 3273 l 2280 3309 l 2285 3345 l 2290 3384 l 2296 3424 l 2302 3462 l 2308 3501 l 2314 3540 l 2321 3579 l 2328 3618 l 2335 3658 l 2343 3699 l 2351 3740 l 2360 3783 l 2369 3828 l 2378 3873 l 2388 3920 l 2399 3969 l 2410 4018 l 2422 4069 l 2434 4121 l 2446 4174 l 2458 4227 l 2471 4279 l 2483 4330 l 2495 4380 l 2506 4428 l 2517 4472 l 2527 4512 l 2536 4548 l 2544 4579 l 2550 4605 l 2555 4626 l 2559 4641 l 2562 4653 l 2564 4660 l 2565 4663 l 2565 4665 l gs col-1 s gr % Polyline [60] 0 sd gs clippath 2853 754 m 2904 641 l 2912 765 l 2942 606 l 2883 595 l cp clip n 4320 2160 m 4318 2160 l 4312 2162 l 4303 2163 l 4287 2166 l 4266 2170 l 4239 2176 l 4206 2182 l 4168 2189 l 4125 2196 l 4079 2204 l 4031 2212 l 3981 2220 l 3931 2227 l 3882 2234 l 3834 2241 l 3787 2246 l 3743 2251 l 3701 2255 l 3661 2257 l 3623 2259 l 3588 2259 l 3554 2259 l 3523 2257 l 3493 2255 l 3464 2251 l 3437 2246 l 3411 2240 l 3385 2233 l 3360 2225 l 3335 2216 l 3311 2205 l 3287 2194 l 3264 2181 l 3240 2168 l 3217 2153 l 3194 2137 l 3171 2119 l 3148 2101 l 3126 2081 l 3104 2060 l 3082 2038 l 3061 2015 l 3041 1992 l 3021 1967 l 3002 1942 l 2984 1916 l 2967 1889 l 2950 1863 l 2935 1835 l 2920 1808 l 2907 1781 l 2894 1753 l 2882 1726 l 2872 1698 l 2862 1671 l 2853 1644 l 2846 1617 l 2839 1590 l 2833 1563 l 2827 1535 l 2823 1507 l 2819 1479 l 2816 1451 l 2814 1421 l 2813 1390 l 2813 1358 l 2814 1324 l 2815 1289 l 2818 1251 l 2821 1212 l 2825 1170 l 2830 1127 l 2835 1082 l 2841 1035 l 2848 987 l 2855 939 l 2863 891 l 2870 845 l 2877 801 l 2884 760 l 2890 723 l 2896 692 l 2901 666 l 2904 646 l 2910 615 l gs col-1 s gr gr [] 0 sd % arrowhead n 2853 754 m 2904 641 l 2912 765 l col-1 s $F2psEnd rs %%EndDocument @endspecial 2268 3856 a Fv(A)1827 3940 y(a)1528 3619 y(b)1627 3189 y(B)1528 3987 y(s)2257 3633 y(\015)1798 3578 y(R)1851 3590 y Fn(a;b)671 4720 y FB(Figure)g(3:)43 b(computation)31 b(of)h(the)h(principal)d(part)j(of)2675 4639 y Fu(R)2722 4754 y Fv(\015)2783 4720 y Fw(H)2864 4735 y Ft(1)2903 4720 y Fw(dt)266 5069 y FB(Let)g Fw(AB)38 b FB(b)s(e)33 b(an)f(arc)h(of)f Fw(\015)37 b FB(on)c(whic)m(h)g(the)g (unique)g(singularit)m(y)e(is)h Fw(s)2783 5084 y Fv(j)2819 5069 y FB(.)44 b(W)-8 b(e)33 b(de\014ne)470 5338 y(vp)576 5203 y Fu(Z)676 5229 y Fv(B)676 5428 y(A)736 5338 y Fw(H)817 5353 y Ft(1)857 5338 y Fw(dt)27 b FB(=)57 b(lim)1074 5401 y Fv(a;b)p FC(!)p Ft(0)1284 5168 y Fu( )1362 5203 y(Z)1462 5229 y Fv(a)1418 5428 y(A)1520 5338 y Fw(H)1601 5353 y Ft(1)1641 5338 y Fw(dt)22 b FB(+)1847 5203 y Fu(Z)1946 5229 y Fv(B)1902 5428 y(b)2024 5338 y Fw(H)2105 5353 y Ft(1)2144 5338 y Fw(dt)g FB(+)g Fw(a)p FB(\()p Fw(s)2485 5353 y Fv(j)2521 5338 y FB(\))17 b(ln)2674 5164 y Fu(\014)2674 5224 y(\014)2674 5284 y(\014)2674 5343 y(\014)2674 5403 y(\014)2707 5203 y(Z)2762 5428 y Fv(R)2815 5440 y Fn(a;b)2920 5338 y Fw(!)2985 5164 y Fu(\014)2985 5224 y(\014)2985 5284 y(\014)2985 5343 y(\014)2985 5403 y(\014)3018 5168 y(!)3146 5338 y Fw(;)242 b FB(\(7\))1806 5712 y(7)p eop %%Page: 8 8 8 7 bop 120 407 a FB(where)1297 657 y Fw(a)p FB(\()p Fw(s)1432 672 y Fv(j)1469 657 y FB(\))28 b(=)1784 589 y Fs(\006)p Fw(H)1942 604 y Ft(1)1982 589 y FB(\()p Fw(s)2066 604 y Fv(j)2102 589 y FB(\))p 1648 634 629 4 v 1648 725 a Fs(j)p FB(det)p Fw(H)1892 740 y Ft(0)1932 725 y FB("\()p Fw(s)2065 740 y Fv(j)2101 725 y FB(\))p Fs(j)2167 696 y Ft(1)p Fv(=)p Ft(2)2319 657 y Fw(;)1069 b FB(\(8\))120 958 y(and)27 b Fw(R)378 973 y Fv(a;b)496 958 y FB(is)f(the)h (parallelogram)22 b(built)j(on)i(the)f(v)m(ectors)63 b Fw(~)-83 b(s)2246 973 y Fv(j)2282 958 y Fw(a)27 b FB(and)2573 932 y Fw(~)2543 958 y(s)2589 973 y Fv(j)2626 958 y Fw(b)g FB(dra)m(wn)g(on)f(the)h(\014gure.)120 1079 y(The)34 b(sign)e Fs(\006)h FB(is)f(+)g(if)f Fw(AB)38 b FB(is)32 b(orien)m(ted)h(in)f(the)h(same)f(direction)g(as)g Fw(dt)h FB(and)g Fs(\000)g FB(otherwise.)120 1307 y Fy(Lemma)k(3)49 b Fp(The)34 b(pr)-5 b(evious)35 b(limit)f(exists)h(and)f(is)h(indep)-5 b(endent)33 b(of)i(the)f(choic)-5 b(es.)120 1535 y(Pr)g(o)g(of.{)410 1739 y FB(P)m(erforming)44 b(\014rst)i(a)g(canonical)e(transformation,) j(w)m(e)g(ma)m(y)e(assume)h(that)364 1859 y Fw(H)445 1874 y Ft(0)484 1859 y FB(\()p Fw(z)t FB(\))37 b(=)f Fw(W)14 b(x\030)30 b FB(+)25 b Fw(O)s FB(\()p Fs(j)p Fw(z)t Fs(j)1314 1823 y Ft(3)1353 1859 y FB(\).)58 b(Of)37 b(course,)j(w)m(e)e(ha)m(v)m(e)h Fw(W)50 b FB(=)36 b Fs(\006j)p FB(det)p Fw(H)8 b FB(")2961 1874 y Ft(0)3000 1859 y FB(\()p Fw(s)3084 1874 y Fv(j)3121 1859 y FB(\))p Fs(j)3187 1823 y Ft(1)p Fv(=)p Ft(2)364 1979 y FB(with)35 b(the)i(same)f(sign)f(con)m(v)m(en)m(tion)i(as)f(in)g(form)m(ula)e (\(8\).)53 b(W)-8 b(e)36 b(can)h(then)f(com-)364 2112 y(pute)24 b(\()615 2032 y Fu(R)682 2058 y Fv(a)662 2147 y(A)740 2112 y FB(+)833 2032 y Fu(R)899 2058 y Fv(B)879 2147 y(b)959 2112 y FB(\))p Fw(H)1078 2127 y Ft(1)1141 2112 y Fw(dt)g FB(b)m(y)g(replacing)f Fw(H)1867 2127 y Ft(0)1929 2112 y FB(b)m(y)i Fw(W)14 b(x\030)28 b FB(\(then)c Fw(dt)k FB(=)2786 2073 y Fv(dx)p 2766 2089 117 4 v 2766 2146 a(W)10 b(x)2920 2112 y FB(=)28 b Fs(\000)3131 2068 y Fv(d\030)p 3111 2089 110 4 v 3111 2146 a(W)10 b(\030)3231 2112 y FB(\),)364 2242 y(whic)m(h)22 b(giv)m(es)g(the)g(follo)m(wing)d (div)m(ergen)m(t)k(part)f(of)f(the)h(in)m(tegral:)37 b Fs(\000)p Fw(H)2837 2257 y Ft(1)2876 2242 y FB(\()p Fw(s)2960 2257 y Fv(j)2997 2242 y FB(\))p Fw(=W)30 b FB(ln)o(\()p Fw(ab)p FB(\).)3463 2446 y Fk(\003)266 2566 y FB(If)j(the)g(cycle)g Fw(\015)38 b FB(is)32 b(smo)s(oth)f(at)i Fw(s)1470 2581 y Fv(j)1506 2566 y FB(,)g(w)m(e)g(de\014ne)1041 2787 y(~)1016 2744 y Fu(Z)1116 2747 y Fv(A)1116 2970 y(B)1176 2880 y Fw(H)1257 2895 y Ft(1)1297 2880 y Fw(dt)27 b FB(=)55 b(lim)1514 2947 y Fv(")p FC(!)p Ft(0)1653 2928 y Fr(+)1703 2880 y FB(\()1741 2744 y Fu(Z)1840 2770 y Fv(\015)t Ft(\()p FC(\000)p Fv(")p Ft(\))1796 2970 y Fv(B)2044 2880 y FB(+)2137 2744 y Fu(Z)2236 2770 y Fv(A)2192 2970 y(\015)t Ft(\()p Fv(")p Ft(\))2324 2880 y FB(\))p Fw(H)2443 2895 y Ft(1)2482 2880 y Fw(dt)32 b(;)788 b FB(\(9\))120 3173 y(where)32 b Fw(u)27 b Fs(!)g Fw(\015)5 b FB(\()p Fw(u)p FB(\))30 b(is)f(a)h Fw(C)1079 3137 y Ft(1)1149 3173 y FB(parameterization)e(of)i Fw(\015)35 b FB(and)30 b(with)g Fw(\015)5 b FB(\(0\))28 b(=)f Fw(s)2860 3188 y Fv(j)2897 3173 y FB(.)42 b(This)31 b(c)m(hoice)f(is)120 3294 y(compatible)h(with)h(the)h(previous)g(ones:)44 b Fw(\015)33 b Fs(!)27 b Fw(I)1906 3309 y Fv(\015)1983 3294 y FB(is)32 b(a)g Fq(Z)p Fs(\000)p FB(linear)d(mapping.)266 3414 y Fp(R)-5 b(emark:)54 b FB(sub-principal)36 b(actions)h Fw(I)1647 3429 y Fv(\015)1730 3414 y FB(do)h(admit)e(a)h(natural)g(in)m (terpretation)g(in)g(sym-)120 3534 y(plectic)e(geometry)-8 b(.)51 b(Let)35 b(us)h(assume)g(that)f Fw(\015)40 b FB(is)35 b(a)g(simple)f(cycle)h(of)g Fw(Z)k FB(=)32 b Fs(f)p Fw(H)3039 3549 y Ft(0)3111 3534 y FB(=)g(0)p Fs(g)i FB(suc)m(h)120 3655 y(that)e Fw(\015)g FB(=)c Fw(@)5 b(D)36 b FB(and)c(that)f Fw(H)1171 3670 y Ft(0)1243 3655 y FB(is)g Fs(\024)d FB(0)k(inside)f Fw(D)s FB(.)43 b(Denote)32 b(b)m(y)h Fw(s)2471 3670 y Fv(j)2508 3655 y Fw(;)49 b(j)33 b FB(=)28 b(1)p Fw(;)17 b Fs(\001)g(\001)g(\001)d Fw(N)42 b FB(the)33 b(saddle)120 3775 y(p)s(oin)m(ts)f(of)h Fw(Z)39 b FB(lo)s(cated)32 b(on)h Fw(\015)5 b FB(.)44 b(Let)33 b Fw(H)1489 3790 y Ft(1)1557 3775 y FB(:)28 b Fw(X)36 b Fs(!)28 b Fq(R)43 b FB(b)s(e)33 b(suc)m(h)i(that)d Fs(8)p Fw(j;)51 b FB(1)28 b Fs(\024)g Fw(j)34 b Fs(\024)29 b Fw(N)5 b(;)33 b FB(w)m(e)h(ha)m(v)m (e)120 3896 y Fw(H)201 3911 y Ft(1)240 3896 y FB(\()p Fw(s)324 3911 y Fv(j)361 3896 y FB(\))27 b Fw(<)h FB(0.)43 b(F)-8 b(or)32 b Fw(\034)39 b(<)28 b FB(0,)k(let)g(us)h(de\014ne)1281 4167 y Fw(A)p FB(\()p Fw(\034)11 b FB(\))28 b(=)1615 4031 y Fu(Z)1670 4257 y Fv(H)1728 4266 y Fr(0)1763 4257 y Ft(+)p Fv(\034)8 b(H)1915 4266 y Fr(1)1949 4257 y FC(\024)p Ft(0)2060 4167 y Fs(j)p Fw(dxd\030)d Fs(j)31 b Fw(:)120 4452 y FB(Then,)j(if)d Fw(\034)39 b Fs(!)28 b Fw(O)778 4416 y FC(\000)836 4452 y FB(,)33 b Fw(A)p FB(\()p Fw(\034)11 b FB(\))33 b(admits)e(the)i(follo)m(wing)d(expansion:)361 4765 y Fw(A)p FB(\()p Fw(\034)11 b FB(\))28 b(=)g Fw(A)p FB(\(0\))22 b(+)g Fw(\034)1066 4684 y Fu(\000)1152 4640 y Fv(N)1112 4670 y Fu(X)1122 4880 y Fv(j)t Ft(=1)1272 4765 y Fw(")1318 4780 y Ft(0)1357 4765 y FB(\()p Fw(s)1441 4780 y Fv(j)1478 4765 y FB(\)\(1)g Fs(\000)g FB(ln)16 b Fs(j)p Fw(\034)11 b(")1949 4780 y Ft(0)1988 4765 y FB(\()p Fw(s)2072 4780 y Fv(j)2109 4765 y FB(\))p Fs(j)p FB(\))2213 4684 y Fu(\001)2258 4765 y Fs(\000)p Fw(\034)g(I)2431 4780 y Fv(\015)2499 4765 y FB(+)22 b Fw(O)s FB(\()p Fw(\034)2766 4724 y Ft(2)2821 4765 y FB(ln)16 b Fs(j)p Fw(\034)11 b Fs(j)p FB(\))32 b Fw(:)242 b FB(\(10\))1806 5712 y(8)p eop %%Page: 9 9 9 8 bop 931 2119 a @beginspecial @setspecial %%BeginDocument: atau.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -64.0 200.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 7666 m -1000 -1000 l 10232 -1000 l 10232 7666 l cp clip 0.03000 0.03000 sc % Polyline 7.500 slw n 2250 3063 m 2264 3087 l 2280 3111 l 2296 3136 l 2315 3160 l 2335 3184 l 2356 3208 l 2379 3232 l 2403 3256 l 2429 3281 l 2457 3305 l 2486 3329 l 2517 3353 l 2549 3378 l 2583 3402 l 2619 3426 l 2657 3451 l 2695 3475 l 2736 3499 l 2778 3523 l 2821 3547 l 2866 3571 l 2912 3595 l 2959 3618 l 3008 3642 l 3057 3665 l 3108 3688 l 3159 3710 l 3212 3733 l 3265 3755 l 3319 3776 l 3373 3798 l 3428 3819 l 3484 3839 l 3540 3859 l 3596 3879 l 3653 3899 l 3710 3918 l 3768 3936 l 3825 3955 l 3883 3973 l 3941 3990 l 4000 4008 l 4058 4025 l 4118 4042 l 4177 4058 l 4238 4075 l 4287 4088 l 4338 4102 l 4389 4115 l 4441 4129 l 4493 4142 l 4546 4155 l 4599 4169 l 4653 4182 l 4708 4195 l 4764 4209 l 4821 4222 l 4878 4236 l 4935 4250 l 4994 4263 l 5053 4277 l 5112 4291 l 5173 4305 l 5233 4319 l 5294 4333 l 5356 4347 l 5418 4361 l 5480 4375 l 5542 4389 l 5605 4404 l 5667 4418 l 5730 4432 l 5792 4446 l 5855 4461 l 5917 4475 l 5978 4489 l 6040 4503 l 6101 4518 l 6161 4532 l 6221 4546 l 6280 4560 l 6338 4574 l 6396 4588 l 6452 4601 l 6508 4615 l 6563 4629 l 6617 4642 l 6670 4656 l 6722 4669 l 6773 4682 l 6822 4696 l 6871 4709 l 6919 4722 l 6965 4735 l 7011 4748 l 7055 4761 l 7098 4773 l 7141 4786 l 7182 4799 l 7222 4812 l 7262 4825 l 7300 4838 l 7352 4856 l 7403 4874 l 7453 4892 l 7501 4911 l 7548 4930 l 7593 4950 l 7637 4970 l 7680 4990 l 7722 5011 l 7762 5032 l 7801 5053 l 7838 5075 l 7874 5098 l 7908 5120 l 7941 5143 l 7972 5167 l 8001 5191 l 8028 5215 l 8054 5239 l 8077 5264 l 8099 5289 l 8119 5314 l 8137 5339 l 8153 5364 l 8166 5389 l 8178 5414 l 8188 5440 l 8196 5465 l 8202 5490 l 8206 5515 l 8208 5540 l 8208 5565 l 8207 5590 l 8204 5615 l 8199 5639 l 8192 5664 l 8184 5688 l 8174 5713 l 8163 5738 l 8150 5763 l 8136 5786 l 8121 5810 l 8104 5835 l 8086 5859 l 8066 5884 l 8044 5909 l 8021 5935 l 7996 5960 l 7970 5986 l 7941 6012 l 7912 6039 l 7880 6065 l 7847 6091 l 7812 6118 l 7775 6145 l 7737 6171 l 7698 6197 l 7657 6223 l 7614 6249 l 7571 6274 l 7526 6299 l 7480 6324 l 7433 6348 l 7385 6371 l 7336 6394 l 7287 6416 l 7236 6437 l 7186 6457 l 7135 6476 l 7083 6495 l 7031 6512 l 6979 6529 l 6927 6544 l 6874 6559 l 6822 6572 l 6769 6585 l 6716 6596 l 6663 6606 l 6610 6616 l 6557 6624 l 6504 6631 l 6450 6638 l 6403 6642 l 6355 6646 l 6306 6649 l 6258 6651 l 6208 6653 l 6158 6654 l 6108 6654 l 6056 6653 l 6005 6652 l 5952 6649 l 5900 6646 l 5846 6642 l 5792 6638 l 5738 6632 l 5684 6626 l 5629 6619 l 5574 6612 l 5519 6603 l 5463 6594 l 5408 6584 l 5353 6573 l 5298 6562 l 5244 6550 l 5189 6538 l 5136 6524 l 5083 6511 l 5031 6496 l 4979 6481 l 4928 6466 l 4879 6450 l 4830 6434 l 4783 6417 l 4736 6400 l 4691 6382 l 4647 6365 l 4605 6347 l 4563 6328 l 4523 6310 l 4485 6291 l 4448 6272 l 4412 6253 l 4378 6233 l 4345 6214 l 4313 6194 l 4283 6174 l 4254 6154 l 4226 6133 l 4200 6113 l 4168 6086 l 4139 6059 l 4111 6032 l 4084 6003 l 4060 5975 l 4037 5945 l 4015 5915 l 3996 5884 l 3977 5852 l 3961 5820 l 3946 5787 l 3933 5753 l 3921 5718 l 3911 5683 l 3903 5647 l 3896 5611 l 3891 5575 l 3888 5538 l 3886 5500 l 3886 5463 l 3887 5425 l 3890 5388 l 3894 5350 l 3900 5313 l 3907 5276 l 3915 5239 l 3924 5202 l 3935 5166 l 3946 5130 l 3958 5094 l 3972 5059 l 3986 5025 l 4001 4991 l 4017 4957 l 4034 4924 l 4051 4890 l 4069 4858 l 4088 4825 l 4105 4796 l 4123 4766 l 4142 4737 l 4161 4707 l 4182 4677 l 4203 4647 l 4225 4617 l 4247 4587 l 4271 4556 l 4296 4525 l 4321 4494 l 4347 4462 l 4375 4431 l 4403 4399 l 4432 4367 l 4462 4334 l 4493 4302 l 4524 4270 l 4557 4237 l 4590 4205 l 4624 4173 l 4658 4141 l 4693 4109 l 4728 4077 l 4764 4046 l 4801 4015 l 4837 3984 l 4874 3954 l 4912 3924 l 4949 3894 l 4987 3865 l 5025 3837 l 5063 3809 l 5101 3781 l 5139 3754 l 5178 3727 l 5216 3701 l 5255 3675 l 5294 3650 l 5333 3624 l 5373 3600 l 5413 3575 l 5449 3553 l 5487 3530 l 5525 3508 l 5563 3486 l 5602 3464 l 5642 3442 l 5682 3420 l 5723 3397 l 5765 3375 l 5808 3353 l 5851 3331 l 5896 3309 l 5940 3287 l 5986 3266 l 6032 3244 l 6078 3222 l 6126 3201 l 6173 3180 l 6221 3159 l 6270 3139 l 6318 3118 l 6367 3098 l 6416 3079 l 6465 3060 l 6514 3042 l 6563 3024 l 6611 3006 l 6660 2989 l 6708 2973 l 6755 2958 l 6803 2943 l 6849 2928 l 6895 2915 l 6941 2902 l 6986 2889 l 7030 2878 l 7074 2867 l 7116 2857 l 7159 2847 l 7200 2839 l 7241 2830 l 7282 2823 l 7321 2816 l 7360 2810 l 7399 2805 l 7438 2800 l 7483 2795 l 7529 2791 l 7574 2788 l 7619 2786 l 7664 2784 l 7709 2784 l 7754 2784 l 7799 2786 l 7844 2788 l 7888 2792 l 7933 2796 l 7977 2802 l 8022 2808 l 8066 2815 l 8110 2824 l 8153 2833 l 8196 2843 l 8238 2854 l 8280 2866 l 8321 2879 l 8361 2893 l 8401 2907 l 8439 2922 l 8476 2938 l 8513 2955 l 8548 2972 l 8582 2989 l 8616 3007 l 8647 3026 l 8678 3045 l 8708 3065 l 8737 3085 l 8764 3105 l 8791 3126 l 8816 3147 l 8841 3168 l 8865 3190 l 8888 3213 l 8911 3237 l 8934 3261 l 8956 3287 l 8977 3313 l 8998 3340 l 9018 3368 l 9037 3397 l 9056 3426 l 9074 3457 l 9091 3488 l 9107 3520 l 9123 3553 l 9137 3586 l 9151 3620 l 9163 3654 l 9174 3689 l 9184 3725 l 9193 3760 l 9201 3796 l 9207 3832 l 9213 3868 l 9216 3904 l 9219 3939 l 9220 3975 l 9220 4010 l 9219 4044 l 9216 4078 l 9213 4112 l 9208 4145 l 9201 4178 l 9194 4210 l 9185 4241 l 9175 4272 l 9164 4303 l 9151 4333 l 9138 4363 l 9123 4390 l 9108 4418 l 9091 4446 l 9074 4473 l 9054 4501 l 9034 4529 l 9012 4556 l 8989 4584 l 8965 4611 l 8939 4638 l 8912 4666 l 8883 4693 l 8854 4720 l 8823 4746 l 8791 4773 l 8758 4799 l 8724 4825 l 8689 4850 l 8653 4874 l 8617 4898 l 8580 4922 l 8542 4944 l 8504 4966 l 8465 4987 l 8426 5008 l 8387 5027 l 8348 5045 l 8309 5063 l 8270 5079 l 8231 5095 l 8192 5110 l 8154 5124 l 8115 5136 l 8077 5148 l 8039 5159 l 8001 5170 l 7963 5179 l 7925 5188 l 7887 5195 l 7849 5202 l 7810 5208 l 7771 5214 l 7732 5219 l 7692 5223 l 7652 5226 l 7612 5228 l 7570 5229 l 7529 5230 l 7487 5230 l 7445 5229 l 7402 5227 l 7360 5224 l 7317 5221 l 7274 5216 l 7231 5211 l 7188 5205 l 7146 5198 l 7104 5190 l 7062 5182 l 7021 5172 l 6980 5162 l 6940 5151 l 6901 5140 l 6863 5127 l 6825 5115 l 6789 5101 l 6753 5087 l 6718 5073 l 6685 5057 l 6652 5042 l 6620 5026 l 6590 5009 l 6560 4992 l 6531 4974 l 6502 4956 l 6475 4938 l 6447 4917 l 6419 4896 l 6392 4874 l 6365 4851 l 6339 4827 l 6313 4803 l 6288 4777 l 6262 4751 l 6237 4723 l 6213 4694 l 6189 4665 l 6165 4634 l 6142 4602 l 6119 4570 l 6096 4537 l 6074 4503 l 6052 4468 l 6031 4433 l 6011 4397 l 5991 4361 l 5971 4325 l 5953 4288 l 5934 4251 l 5917 4214 l 5900 4177 l 5884 4139 l 5868 4102 l 5853 4066 l 5838 4029 l 5825 3992 l 5811 3956 l 5798 3920 l 5786 3883 l 5773 3847 l 5762 3811 l 5750 3775 l 5739 3741 l 5729 3706 l 5718 3671 l 5707 3635 l 5697 3599 l 5686 3563 l 5676 3526 l 5665 3488 l 5654 3450 l 5642 3412 l 5631 3373 l 5619 3334 l 5607 3294 l 5595 3255 l 5582 3215 l 5570 3175 l 5556 3135 l 5543 3095 l 5529 3055 l 5515 3015 l 5501 2976 l 5486 2937 l 5471 2899 l 5455 2862 l 5439 2825 l 5423 2789 l 5407 2754 l 5390 2719 l 5373 2686 l 5356 2653 l 5338 2622 l 5319 2591 l 5301 2561 l 5282 2532 l 5262 2504 l 5242 2477 l 5221 2451 l 5200 2425 l 5177 2399 l 5152 2373 l 5127 2348 l 5101 2323 l 5074 2299 l 5045 2275 l 5016 2251 l 4986 2228 l 4954 2206 l 4921 2183 l 4888 2162 l 4853 2140 l 4817 2119 l 4781 2099 l 4743 2079 l 4705 2059 l 4667 2040 l 4627 2022 l 4588 2004 l 4548 1987 l 4508 1971 l 4468 1955 l 4428 1940 l 4388 1926 l 4348 1912 l 4309 1899 l 4270 1887 l 4231 1875 l 4193 1864 l 4155 1853 l 4118 1843 l 4081 1834 l 4045 1825 l 4009 1816 l 3973 1808 l 3938 1800 l 3900 1792 l 3863 1785 l 3825 1777 l 3788 1771 l 3750 1764 l 3712 1758 l 3673 1753 l 3635 1748 l 3596 1743 l 3556 1740 l 3516 1737 l 3477 1734 l 3437 1733 l 3396 1732 l 3356 1732 l 3316 1733 l 3276 1734 l 3237 1737 l 3198 1741 l 3159 1745 l 3121 1751 l 3083 1757 l 3046 1765 l 3010 1773 l 2974 1783 l 2939 1793 l 2906 1805 l 2872 1817 l 2840 1830 l 2808 1845 l 2777 1860 l 2747 1876 l 2717 1894 l 2688 1913 l 2661 1930 l 2635 1949 l 2610 1969 l 2584 1989 l 2559 2011 l 2534 2034 l 2509 2058 l 2484 2084 l 2460 2110 l 2437 2137 l 2413 2166 l 2391 2195 l 2369 2226 l 2348 2257 l 2327 2289 l 2308 2322 l 2290 2356 l 2272 2390 l 2256 2424 l 2242 2459 l 2228 2495 l 2216 2530 l 2206 2566 l 2197 2601 l 2190 2636 l 2184 2672 l 2180 2707 l 2178 2741 l 2177 2776 l 2178 2809 l 2181 2843 l 2186 2876 l 2192 2908 l 2200 2940 l 2210 2971 l 2221 3002 l 2235 3032 l cp gs col0 s gr % Polyline [60] 0 sd n 2738 2325 m 2726 2344 l 2715 2363 l 2706 2384 l 2697 2405 l 2689 2427 l 2682 2450 l 2676 2474 l 2671 2498 l 2667 2524 l 2664 2550 l 2662 2577 l 2662 2604 l 2663 2632 l 2665 2660 l 2669 2688 l 2674 2716 l 2680 2744 l 2687 2771 l 2696 2798 l 2705 2825 l 2716 2851 l 2728 2877 l 2741 2902 l 2756 2927 l 2771 2951 l 2788 2975 l 2803 2996 l 2819 3016 l 2837 3037 l 2855 3057 l 2875 3078 l 2896 3099 l 2918 3120 l 2942 3141 l 2966 3162 l 2992 3184 l 3018 3205 l 3046 3226 l 3074 3248 l 3103 3269 l 3133 3290 l 3164 3310 l 3194 3331 l 3225 3351 l 3257 3370 l 3288 3389 l 3319 3408 l 3350 3426 l 3381 3443 l 3411 3460 l 3442 3476 l 3471 3492 l 3501 3507 l 3530 3522 l 3559 3536 l 3588 3550 l 3618 3565 l 3649 3579 l 3680 3593 l 3711 3607 l 3743 3620 l 3775 3634 l 3807 3647 l 3840 3660 l 3873 3672 l 3906 3685 l 3939 3697 l 3973 3708 l 4006 3719 l 4040 3729 l 4073 3739 l 4105 3748 l 4137 3756 l 4168 3764 l 4199 3771 l 4229 3777 l 4258 3783 l 4286 3787 l 4313 3791 l 4339 3794 l 4365 3797 l 4390 3799 l 4414 3800 l 4438 3800 l 4462 3800 l 4487 3798 l 4511 3796 l 4535 3793 l 4560 3790 l 4584 3785 l 4608 3779 l 4631 3773 l 4655 3765 l 4679 3757 l 4702 3747 l 4725 3737 l 4747 3726 l 4769 3714 l 4790 3701 l 4811 3687 l 4830 3673 l 4850 3659 l 4868 3643 l 4885 3628 l 4902 3612 l 4918 3595 l 4933 3578 l 4948 3561 l 4962 3543 l 4975 3525 l 4989 3505 l 5003 3483 l 5016 3461 l 5029 3438 l 5041 3414 l 5053 3388 l 5065 3362 l 5075 3335 l 5085 3307 l 5094 3278 l 5103 3248 l 5110 3218 l 5116 3188 l 5121 3157 l 5124 3127 l 5127 3097 l 5128 3067 l 5128 3038 l 5126 3010 l 5124 2981 l 5120 2954 l 5114 2927 l 5108 2901 l 5100 2875 l 5092 2853 l 5083 2831 l 5073 2809 l 5062 2787 l 5050 2765 l 5036 2742 l 5021 2720 l 5006 2697 l 4989 2674 l 4970 2651 l 4951 2628 l 4931 2606 l 4910 2583 l 4888 2560 l 4866 2538 l 4843 2516 l 4819 2495 l 4795 2474 l 4771 2454 l 4746 2435 l 4721 2416 l 4697 2397 l 4672 2380 l 4648 2363 l 4623 2346 l 4599 2330 l 4574 2315 l 4550 2300 l 4525 2285 l 4500 2271 l 4475 2257 l 4449 2243 l 4423 2229 l 4396 2216 l 4369 2202 l 4341 2189 l 4313 2176 l 4284 2163 l 4255 2150 l 4226 2138 l 4197 2126 l 4168 2114 l 4139 2103 l 4110 2092 l 4082 2081 l 4054 2071 l 4026 2062 l 4000 2053 l 3974 2045 l 3949 2037 l 3924 2030 l 3900 2023 l 3877 2016 l 3855 2011 l 3834 2005 l 3813 2000 l 3784 1993 l 3755 1987 l 3727 1982 l 3700 1977 l 3673 1973 l 3646 1969 l 3619 1965 l 3593 1962 l 3568 1959 l 3544 1957 l 3521 1955 l 3499 1954 l 3479 1952 l 3459 1951 l 3442 1951 l 3426 1950 l 3411 1950 l 3398 1950 l 3386 1950 l 3375 1950 l 3359 1950 l 3345 1950 l 3332 1951 l 3320 1952 l 3307 1954 l 3295 1957 l 3281 1961 l 3267 1966 l 3250 1973 l 3232 1980 l 3211 1989 l 3188 2000 l 3173 2007 l 3157 2014 l 3140 2022 l 3121 2030 l 3101 2040 l 3080 2050 l 3058 2062 l 3035 2074 l 3011 2088 l 2987 2102 l 2962 2117 l 2938 2133 l 2914 2150 l 2890 2168 l 2867 2186 l 2845 2204 l 2824 2223 l 2804 2242 l 2785 2262 l 2768 2283 l 2752 2304 l cp gs col7 0.75 shd ef gr gs col0 s gr [] 0 sd % Polyline [60] 0 sd n 6275 3700 m 6268 3717 l 6263 3735 l 6259 3753 l 6256 3771 l 6255 3789 l 6255 3808 l 6256 3828 l 6259 3847 l 6264 3867 l 6269 3888 l 6276 3908 l 6285 3929 l 6295 3949 l 6306 3970 l 6318 3990 l 6332 4010 l 6347 4030 l 6362 4050 l 6379 4068 l 6397 4087 l 6415 4105 l 6434 4122 l 6454 4138 l 6475 4154 l 6496 4170 l 6517 4185 l 6540 4199 l 6563 4213 l 6585 4225 l 6608 4237 l 6631 4249 l 6656 4260 l 6682 4272 l 6708 4283 l 6736 4293 l 6765 4304 l 6795 4314 l 6825 4324 l 6857 4333 l 6889 4342 l 6922 4351 l 6956 4359 l 6991 4367 l 7025 4374 l 7060 4380 l 7095 4386 l 7131 4392 l 7166 4397 l 7201 4401 l 7235 4404 l 7270 4407 l 7304 4410 l 7337 4412 l 7370 4413 l 7403 4414 l 7436 4414 l 7468 4413 l 7500 4413 l 7532 4411 l 7564 4409 l 7597 4407 l 7629 4404 l 7662 4400 l 7696 4395 l 7729 4390 l 7763 4385 l 7797 4378 l 7831 4371 l 7865 4363 l 7898 4354 l 7932 4345 l 7965 4335 l 7997 4324 l 8029 4313 l 8060 4301 l 8090 4288 l 8119 4275 l 8146 4261 l 8173 4247 l 8198 4232 l 8222 4217 l 8244 4201 l 8265 4186 l 8285 4169 l 8303 4153 l 8320 4136 l 8336 4118 l 8350 4100 l 8362 4083 l 8374 4065 l 8384 4046 l 8393 4027 l 8402 4007 l 8409 3986 l 8415 3965 l 8420 3943 l 8424 3921 l 8427 3898 l 8428 3875 l 8428 3851 l 8427 3828 l 8425 3803 l 8421 3779 l 8416 3755 l 8410 3731 l 8402 3707 l 8393 3684 l 8383 3661 l 8372 3638 l 8359 3616 l 8345 3595 l 8331 3574 l 8315 3554 l 8298 3535 l 8280 3517 l 8261 3499 l 8241 3483 l 8220 3467 l 8198 3452 l 8175 3438 l 8151 3424 l 8125 3411 l 8099 3399 l 8071 3387 l 8041 3375 l 8011 3365 l 7979 3354 l 7946 3345 l 7912 3335 l 7877 3326 l 7841 3318 l 7805 3310 l 7767 3303 l 7730 3296 l 7692 3289 l 7653 3283 l 7615 3278 l 7578 3273 l 7540 3268 l 7504 3264 l 7468 3260 l 7433 3257 l 7398 3253 l 7366 3251 l 7334 3248 l 7303 3246 l 7274 3244 l 7247 3243 l 7220 3241 l 7196 3240 l 7172 3239 l 7150 3238 l 7114 3236 l 7081 3234 l 7051 3233 l 7024 3232 l 6998 3232 l 6975 3232 l 6954 3233 l 6934 3235 l 6916 3237 l 6898 3240 l 6882 3245 l 6866 3250 l 6850 3256 l 6834 3263 l 6818 3271 l 6801 3279 l 6782 3289 l 6763 3300 l 6746 3309 l 6728 3319 l 6709 3329 l 6689 3341 l 6668 3353 l 6645 3366 l 6622 3380 l 6597 3395 l 6572 3411 l 6547 3428 l 6522 3446 l 6496 3464 l 6471 3483 l 6447 3502 l 6423 3521 l 6400 3541 l 6379 3561 l 6359 3581 l 6341 3601 l 6324 3621 l 6309 3640 l 6296 3660 l 6285 3680 l cp gs col7 0.75 shd ef gr gs col0 s gr [] 0 sd % Polyline [60] 0 sd n 4588 4963 m 4582 4985 l 4577 5007 l 4573 5031 l 4569 5055 l 4566 5079 l 4563 5105 l 4561 5131 l 4560 5158 l 4559 5186 l 4560 5214 l 4561 5243 l 4563 5272 l 4565 5301 l 4569 5331 l 4574 5361 l 4579 5391 l 4586 5420 l 4593 5449 l 4602 5478 l 4611 5507 l 4621 5534 l 4632 5561 l 4644 5588 l 4656 5613 l 4670 5638 l 4684 5662 l 4699 5685 l 4715 5707 l 4732 5729 l 4750 5750 l 4768 5769 l 4786 5788 l 4806 5806 l 4827 5824 l 4849 5842 l 4872 5859 l 4896 5876 l 4921 5893 l 4948 5909 l 4976 5926 l 5004 5941 l 5034 5957 l 5065 5972 l 5096 5987 l 5129 6001 l 5162 6015 l 5195 6028 l 5229 6041 l 5264 6053 l 5298 6065 l 5333 6076 l 5367 6087 l 5401 6097 l 5436 6106 l 5470 6115 l 5503 6123 l 5537 6131 l 5570 6138 l 5603 6145 l 5635 6151 l 5668 6157 l 5700 6163 l 5730 6167 l 5761 6172 l 5792 6176 l 5823 6180 l 5854 6184 l 5886 6188 l 5919 6191 l 5952 6194 l 5985 6197 l 6019 6199 l 6054 6201 l 6089 6202 l 6125 6203 l 6161 6204 l 6197 6205 l 6234 6205 l 6271 6204 l 6308 6203 l 6346 6202 l 6383 6201 l 6420 6198 l 6457 6196 l 6495 6193 l 6531 6190 l 6568 6186 l 6604 6182 l 6640 6178 l 6676 6173 l 6712 6168 l 6747 6163 l 6782 6157 l 6817 6151 l 6852 6144 l 6888 6138 l 6925 6130 l 6963 6122 l 7002 6113 l 7041 6103 l 7080 6094 l 7120 6083 l 7160 6072 l 7200 6061 l 7240 6049 l 7280 6036 l 7320 6023 l 7359 6010 l 7397 5996 l 7434 5982 l 7471 5967 l 7506 5952 l 7539 5937 l 7571 5922 l 7601 5906 l 7628 5891 l 7654 5875 l 7677 5860 l 7697 5844 l 7715 5829 l 7731 5814 l 7744 5799 l 7754 5784 l 7761 5769 l 7766 5755 l 7767 5741 l 7766 5727 l 7763 5713 l 7756 5699 l 7747 5686 l 7736 5673 l 7722 5660 l 7705 5646 l 7686 5633 l 7665 5619 l 7641 5606 l 7614 5592 l 7586 5577 l 7555 5563 l 7522 5549 l 7487 5534 l 7450 5519 l 7412 5505 l 7372 5490 l 7330 5475 l 7288 5460 l 7245 5445 l 7200 5431 l 7156 5416 l 7111 5401 l 7066 5387 l 7021 5373 l 6976 5358 l 6932 5344 l 6888 5331 l 6844 5317 l 6802 5304 l 6760 5290 l 6719 5277 l 6678 5264 l 6639 5251 l 6600 5238 l 6560 5223 l 6520 5209 l 6480 5195 l 6441 5181 l 6403 5166 l 6364 5151 l 6326 5136 l 6288 5120 l 6250 5105 l 6212 5089 l 6174 5073 l 6137 5056 l 6101 5040 l 6064 5024 l 6029 5007 l 5994 4991 l 5959 4975 l 5926 4958 l 5893 4942 l 5861 4927 l 5830 4911 l 5800 4896 l 5771 4881 l 5743 4866 l 5716 4852 l 5690 4838 l 5665 4825 l 5640 4812 l 5617 4799 l 5594 4787 l 5572 4774 l 5550 4763 l 5522 4747 l 5494 4732 l 5466 4717 l 5439 4702 l 5412 4687 l 5384 4673 l 5357 4659 l 5330 4645 l 5304 4632 l 5277 4620 l 5251 4608 l 5225 4598 l 5199 4588 l 5174 4579 l 5150 4571 l 5126 4564 l 5104 4558 l 5082 4553 l 5060 4550 l 5040 4548 l 5020 4547 l 5000 4547 l 4981 4548 l 4963 4550 l 4944 4553 l 4925 4558 l 4907 4564 l 4888 4571 l 4869 4580 l 4850 4590 l 4831 4601 l 4812 4614 l 4794 4628 l 4775 4644 l 4757 4661 l 4739 4679 l 4722 4699 l 4705 4719 l 4689 4741 l 4674 4763 l 4660 4786 l 4647 4810 l 4634 4834 l 4623 4859 l 4613 4884 l 4604 4909 l 4595 4936 l cp gs col7 0.75 shd ef gr gs col0 s gr [] 0 sd $F2psEnd rs %%EndDocument @endspecial 1608 959 a Fn(\015)1814 1259 y(s)1843 1269 y Fj(1)1420 1522 y Fn(s)1449 1532 y Fj(2)1927 1559 y Fn(s)1956 1569 y Fj(3)2414 1709 y Fn(s)2443 1719 y Fj(4)1410 2323 y FB(Figure)31 b(4:)43 b(area)33 b Fw(A)p FB(\()p Fw(\034)11 b FB(\))1127 4556 y @beginspecial @setspecial %%BeginDocument: maslov.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -32.0 115.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-iso isovec ReEncode /DrawEllipse { /endangle exch def /startangle exch def /yrad exch def /xrad exch def /y exch def /x exch def /savematrix mtrx currentmatrix def x y tr xrad yrad sc 0 0 1 startangle endangle arc closepath savematrix setmatrix } def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 3730 m -1000 -1000 l 5707 -1000 l 5707 3730 l cp clip 0.04200 0.04200 sc 7.500 slw % Ellipse n 867 1329 76 76 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col-1 s gr % Ellipse n 2307 1269 76 76 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col-1 s gr % Ellipse n 3277 1176 76 76 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col-1 s gr % Ellipse n 4620 1140 76 76 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col-1 s gr % Polyline [15 45] 45 sd n 870 690 m 877 1987 l gs col-1 s gr [] 0 sd % Polyline [15 45] 45 sd n 2318 578 m 2325 2063 l gs col-1 s gr [] 0 sd % Polyline [15 45] 45 sd n 3232 465 m 3307 2047 l gs col-1 s gr [] 0 sd % Polyline [15 45] 45 sd n 4605 270 m 4695 1972 l gs col-1 s gr [] 0 sd % Polyline gs clippath 1376 2189 m 1423 2303 l 1328 2225 l 1425 2355 l 1473 2319 l cp clip n 1320 435 m 1318 437 l 1314 443 l 1307 452 l 1295 467 l 1280 487 l 1262 511 l 1241 539 l 1217 571 l 1192 604 l 1167 638 l 1143 672 l 1119 706 l 1097 738 l 1076 768 l 1057 797 l 1040 824 l 1024 850 l 1010 875 l 998 898 l 986 921 l 976 943 l 966 965 l 958 988 l 950 1010 l 942 1032 l 935 1055 l 929 1078 l 924 1102 l 919 1127 l 915 1152 l 912 1178 l 910 1205 l 908 1232 l 908 1259 l 908 1287 l 909 1315 l 911 1343 l 914 1371 l 918 1399 l 923 1426 l 928 1453 l 934 1480 l 941 1507 l 949 1533 l 958 1559 l 967 1584 l 978 1610 l 987 1632 l 997 1655 l 1008 1678 l 1020 1701 l 1033 1725 l 1047 1751 l 1063 1777 l 1080 1805 l 1098 1835 l 1119 1866 l 1140 1899 l 1163 1934 l 1188 1970 l 1214 2008 l 1241 2047 l 1268 2086 l 1295 2124 l 1322 2161 l 1347 2196 l 1370 2228 l 1390 2256 l 1406 2279 l 1419 2297 l 1440 2325 l gs col-1 s gr gr % arrowhead n 1376 2189 m 1423 2303 l 1328 2225 l col-1 s % Polyline gs clippath 1961 552 m 1907 440 l 2007 514 l 1903 389 l 1857 428 l cp clip n 1935 2280 m 1936 2278 l 1939 2272 l 1944 2263 l 1952 2249 l 1963 2229 l 1976 2204 l 1992 2175 l 2010 2141 l 2029 2106 l 2049 2068 l 2068 2030 l 2088 1992 l 2107 1954 l 2125 1918 l 2142 1884 l 2157 1851 l 2172 1821 l 2185 1791 l 2197 1764 l 2208 1737 l 2218 1712 l 2227 1687 l 2235 1663 l 2243 1639 l 2250 1615 l 2257 1589 l 2264 1563 l 2270 1537 l 2276 1510 l 2281 1482 l 2285 1454 l 2289 1426 l 2292 1397 l 2295 1368 l 2297 1338 l 2298 1308 l 2299 1278 l 2299 1249 l 2298 1219 l 2296 1191 l 2293 1162 l 2290 1134 l 2287 1107 l 2282 1081 l 2277 1056 l 2271 1031 l 2265 1007 l 2258 983 l 2250 960 l 2242 937 l 2232 915 l 2222 892 l 2211 869 l 2198 845 l 2184 821 l 2169 795 l 2152 768 l 2133 740 l 2112 711 l 2090 680 l 2067 647 l 2042 615 l 2017 582 l 1993 550 l 1969 520 l 1948 493 l 1929 469 l 1915 450 l 1890 420 l gs col-1 s gr gr % arrowhead n 1961 552 m 1907 440 l 2007 514 l col-1 s % Polyline gs clippath 3481 438 m 3570 352 l 3531 470 l 3618 333 l 3568 301 l cp clip n 3735 2160 m 3733 2158 l 3730 2152 l 3723 2143 l 3713 2129 l 3699 2109 l 3682 2085 l 3662 2057 l 3641 2026 l 3618 1993 l 3595 1959 l 3572 1925 l 3550 1891 l 3529 1859 l 3510 1828 l 3492 1799 l 3475 1771 l 3459 1744 l 3445 1719 l 3432 1694 l 3420 1670 l 3408 1646 l 3398 1622 l 3388 1598 l 3378 1575 l 3370 1552 l 3361 1528 l 3353 1504 l 3345 1479 l 3337 1453 l 3330 1427 l 3323 1400 l 3316 1373 l 3310 1345 l 3305 1317 l 3300 1288 l 3295 1259 l 3291 1231 l 3288 1202 l 3285 1173 l 3283 1145 l 3282 1118 l 3281 1091 l 3281 1064 l 3282 1038 l 3283 1013 l 3285 988 l 3288 964 l 3291 941 l 3295 918 l 3300 893 l 3306 868 l 3313 843 l 3321 818 l 3330 793 l 3341 766 l 3353 738 l 3367 709 l 3382 678 l 3399 646 l 3417 612 l 3436 577 l 3457 542 l 3477 506 l 3498 471 l 3518 439 l 3536 409 l 3551 384 l 3564 363 l 3585 330 l gs col-1 s gr gr % arrowhead n 3481 438 m 3570 352 l 3531 470 l col-1 s % Polyline gs clippath 4366 1966 m 4286 2060 l 4312 1940 l 4241 2085 l 4295 2112 l cp clip n 4140 270 m 4142 272 l 4147 277 l 4156 285 l 4169 298 l 4187 315 l 4210 337 l 4235 362 l 4263 390 l 4293 419 l 4322 450 l 4352 480 l 4380 510 l 4406 539 l 4430 567 l 4453 594 l 4473 619 l 4491 644 l 4507 667 l 4521 690 l 4534 713 l 4546 735 l 4556 757 l 4565 780 l 4573 803 l 4580 827 l 4587 851 l 4592 877 l 4597 903 l 4601 930 l 4604 957 l 4607 986 l 4608 1015 l 4609 1045 l 4609 1075 l 4608 1106 l 4606 1137 l 4604 1167 l 4601 1198 l 4597 1228 l 4593 1258 l 4588 1287 l 4583 1316 l 4577 1344 l 4571 1371 l 4564 1398 l 4557 1424 l 4550 1450 l 4543 1474 l 4536 1497 l 4528 1521 l 4519 1546 l 4510 1570 l 4500 1596 l 4489 1623 l 4478 1651 l 4465 1680 l 4452 1712 l 4437 1744 l 4422 1778 l 4405 1814 l 4389 1850 l 4372 1886 l 4355 1921 l 4338 1955 l 4323 1986 l 4310 2014 l 4299 2037 l 4289 2056 l 4275 2085 l gs col-1 s gr gr % arrowhead n 4366 1966 m 4286 2060 l 4312 1940 l col-1 s $F2psEnd rs %%EndDocument @endspecial 230 w Ft(+1)2166 4540 y FC(\000)p Ft(1)1040 4759 y FB(Figure)32 b(5:)43 b(recip)s(es)33 b(for)f(Maslo)m(v)h (indices)f(.)1806 5712 y(9)p eop %%Page: 10 10 10 9 bop 120 407 a Fo(2.3)135 b(Maslo)l(v)46 b(indices)f Fl(m)p FF(\()p Fl(\015)7 b FF(\))120 592 y FB(Assume)23 b(no)m(w)g(that)f(the)g(tangen)m(t)h(v)m(ectors)h(to)d(edges)j(at)d (singular)g(p)s(oin)m(ts)h(are)g(nev)m(er)i(v)m(ertical,)120 712 y(i.e.)56 b(con)m(tained)38 b(in)e(the)h(k)m(ernel)h(of)f(the)g (di\013eren)m(tial)e(of)i(the)g(pro)5 b(jection)37 b(from)f Fw(T)3172 676 y Fv(?)3211 712 y Fw(M)48 b FB(on)m(to)120 832 y Fw(M)10 b FB(.)52 b(W)-8 b(e)36 b(de\014ne)g(the)g(Maslo)m(v)g (index)f(of)g(an)g(orien)m(ted)h(arc)f Fw(e)2373 847 y Fv(j)2445 832 y FB(follo)m(wing)d(the)k(usual)f(recip)s(e)120 953 y(whic)m(h)e(is)f(summarized)g(on)g(\014gure)h(5.)266 1073 y(If)26 b(some)g(of)g(these)h(tangen)m(t)f(v)m(ectors)i(are)e(v)m (ertical,)h(w)m(e)g(\014rst)f(p)s(erform)f(some)h(small)e(mo)m(v)m(e) 120 1193 y(in)g(order)i(to)f(put)g(them)g(in)g(generic)g(p)s(osition)e (b)s(efore)j(p)s(erforming)d(the)i(calculus.)41 b(The)26 b(same)120 1314 y(mo)m(v)m(e)35 b(will)d(b)s(e)i(used)i(for)d(the)i(c)m (hoice)g(of)e(the)i(canonical)e(transformation)f Fw(\037)p FB(,)j(see)g(\014gure)g(7,)120 1434 y(p.)44 b(13.)120 1767 y Fx(3)161 b(Semi-classical)56 b(in)l(v)-9 b(arian)l(ts)54 b(of)g(the)e(saddle)i(p)t(oin)l(ts)120 1986 y FB(W)-8 b(e)30 b(ma)m(y)f(reform)m(ulate)f(the)i(semi-classical)c(Morse)31 b(lemma)c(\(see)j([7])g(pages)g(1546-)e(and)h([6]\))120 2106 y(in)j(the)h(follo)m(wing)d(w)m(a)m(y:)120 2310 y Fy(Theorem)37 b(2)49 b Fp(L)-5 b(et)30 b(us)h(denote)f(by)g Fw(\037)g Fp(a)g(\(germ)g(of)10 b(\))30 b(c)-5 b(anonic)g(al)29 b(tr)-5 b(ansformation)29 b(de\014ne)-5 b(d)29 b(on)120 2430 y FB(\()p Fq(R)224 2394 y Ft(2)269 2430 y Fw(;)17 b(O)s FB(\))p Fp(,)34 b FB(\()p Fw(x;)17 b(\030)5 b FB(\))28 b(=)g Fw(\037)p FB(\()p Fw(y)t(;)17 b(\021)t FB(\))33 b Fp(which)i(satisfy)g Fw(H)1826 2445 y Ft(0)1887 2430 y Fs(\016)22 b Fw(\037)29 b FB(=)f Fw(W)14 b FB(\()p Fw(y)t(\021)t FB(\))p Fw(y)t(\021)36 b Fp(and)e Fw(\037)p FB(\()p Fw(O)s FB(\))28 b(=)g Fw(s;)51 b(s)28 b Fs(2)h Fw(Z)3471 2445 y Ft(0)3510 2430 y Fp(.)120 2551 y(Then)37 b(ther)-5 b(e)38 b(exists)f(a)g(unitary)i(FIO)d Fw(U)49 b Fp(asso)-5 b(ciate)g(d)36 b(with)i Fw(\037)p Fp(,)g(a)g(PDO)2823 2525 y FB(^)2795 2551 y Fw(W)14 b Fp(,)38 b(el)5 b(liptic)37 b(at)h(the)120 2671 y(p)-5 b(oint)35 b Fw(O)s Fp(,)f(and)g(a)h(unique)f (formal)g(series)1507 2961 y Fw(")p FB(\()p Fw(h)p FB(\))27 b Fs(\030)1854 2837 y FC(1)1818 2867 y Fu(X)1828 3077 y Fv(j)t Ft(=0)1978 2961 y Fw(")2024 2976 y Fv(j)2060 2961 y Fw(h)2116 2920 y Fv(j)3367 2961 y FB(\(11\))120 3277 y Fp(such)35 b(that:)1309 3471 y FB(^)1284 3497 y Fw(H)8 b(U)38 b FB(=)28 b Fw(U)1686 3471 y FB(^)1657 3497 y Fw(W)14 b FB(\()27 b(^)-76 b Fw(y)t(\021)25 b Fs(\000)d Fw(h")p FB(\()p Fw(h)p FB(\)\))35 b Fw(;)1008 b FB(\(12\))120 3717 y Fp(micr)-5 b(olo)g(c)g(al)5 b(ly)34 b(ne)-5 b(ar)34 b Fw(O)s Fp(.)1466 3981 y FB(^)-76 b Fw(y)t(\021)30 b FB(=)1683 3913 y Fw(h)p 1683 3958 57 4 v 1694 4049 a(i)1749 3981 y FB(\()p Fw(y)1873 3913 y(d)p 1849 3958 102 4 v 1849 4049 a(dy)1982 3981 y FB(+)2090 3913 y(1)p 2090 3958 49 4 v 2090 4049 a(2)2149 3981 y(\))1180 b(\(13\))120 4245 y Fp(is)35 b(the)g(Weyl)g(quantization)f(of)h Fw(y)t(\021)t Fp(.)43 b(We)35 b(have:)1308 4515 y Fw(")1354 4530 y Ft(0)1421 4515 y FB(=)28 b Fs(\006)1825 4447 y Fw(H)1906 4462 y Ft(1)1945 4447 y FB(\()p Fw(s)p FB(\))p 1612 4492 668 4 v 1612 4583 a Fs(j)p FB(det\()p Fw(H)1894 4598 y Ft(0)1933 4583 y FB("\()p Fw(s)p FB(\)\))p Fs(j)2170 4554 y Ft(1)p Fv(=)p Ft(2)2325 4515 y Fw(:)1015 b FB(\(14\))120 4791 y Fp(The)34 b(sign)g Fs(\006)i Fp(is)e(the)h(opp)-5 b(osite)34 b(of)h(that)g(of)g Fw(W)14 b FB(\(0\))p Fp(.)120 4994 y(Pr)-5 b(o)g(of.{)396 5197 y FB(The)33 b(pro)s(of)e(giv)m(en)i (in)e([6])h(is)g(v)m(ery)h(close)g(to)e(the)i(argumen)m(t)f(giv)m(en)g (in)g([7)o(],)h(but)364 5318 y(b)s(ecause)38 b(w)m(e)g(do)f(not)g (assume)h(that)1778 5293 y(^)1753 5318 y Fw(H)44 b FB(is)37 b(self-adjoin)m(t,)f(w)m(e)i(cannot)g(use)g(the)364 5438 y(functional)31 b(calculus,)i(whic)m(h)g(leads)g(us)g(to)f(\(12\).)44 b(Uniqueness)35 b(of)d(the)h(formal)1781 5712 y(10)p eop %%Page: 11 11 11 10 bop 364 407 a FB(series)36 b Fw(")p FB(\()p Fw(h)p FB(\))f(is)f(pro)m(v)m(ed)j(in)d(a)h(geometrical)e(w)m(a)m(y)k(in)d ([6]:)49 b(w)m(e)36 b(asso)s(ciate)f(to)g(the)364 527 y(microlo)s(cal)29 b(situation)i(a)h(natural)f(in)m(v)-5 b(arian)m(t)32 b(using)g(a)g(cross-ratio.)510 648 y(W)-8 b(e)35 b(will)c(only)j(commen)m(t)g(on)g(the)g(form)m(ula)e(\(14\).)48 b(Because)35 b Fw(H)2872 663 y Ft(0)2945 648 y FB(v)-5 b(anishes)364 768 y(and)47 b(is)f(critical)e(at)i(the)h(p)s(oin)m(t)f Fw(s)1649 783 y Fv(j)1685 768 y FB(,)51 b(the)c(sub-principal)e(sym)m (b)s(ol)g Fw(H)2973 783 y Ft(1)3013 768 y FB(\()p Fw(s)3097 783 y Fv(j)3133 768 y FB(\))i(of)389 873 y(^)364 898 y Fw(H)h FB(at)40 b Fw(s)666 913 y Fv(j)743 898 y FB(is)g(the)h(same)g (as)g(that)f(of)1773 873 y(^)1744 898 y Fw(W)14 b FB(\()27 b(^)-76 b Fw(y)t(\021)30 b Fs(\000)e Fw(h")2225 913 y Ft(0)2265 898 y FB(\))40 b(at)g Fw(O)s FB(.)67 b(The)42 b(last)e(one)h(is)364 1019 y Fs(\000)p Fw(W)14 b FB(\()p Fw(O)s FB(\))p Fw(")747 1034 y Ft(0)785 1019 y FB(.)49 b(In)34 b(order)h(to)f(ev)-5 b(aluate)34 b Fw(W)14 b FB(\()p Fw(O)s FB(\),)33 b(w)m(e)j(compute)e(the)h(determinan)m(t)364 1139 y(of)28 b(the)i(Hessian)f(of)g Fw(H)1177 1154 y Ft(0)1245 1139 y FB(at)g(the)g(critical)e(p)s(oin)m(t)h(whic)m(h)h(is)g (preserv)m(ed)i(b)m(y)f Fw(\037)p FB(.)43 b(W)-8 b(e)364 1260 y(\014nd:)1249 1480 y Fs(j)p Fw(W)14 b FB(\()p Fw(O)s FB(\))p Fs(j)26 b FB(=)i Fs(j)p FB(det\()p Fw(H)8 b FB(")2034 1495 y Ft(0)2073 1480 y FB(\()p Fw(s)2157 1495 y Fv(j)2193 1480 y FB(\)\))p Fs(j)2307 1411 y Fr(1)p 2306 1423 31 3 v 2306 1465 a(2)2384 1480 y Fw(:)712 b FB(\(15\))510 1700 y(F)-8 b(or)36 b(applications,)g(it)f(ma)m(y)i(b)s(e)g(b)s(etter)g (not)f(to)h(assume)g Fw(W)14 b FB(\(0\))34 b Fw(>)g FB(0.)56 b(W)-8 b(e)364 1820 y(prefer)30 b(to)f(assume)h(that)f(the)h(image)d(b) m(y)k Fw(\037)e FB(of)g(the)h(\014rst)g(quadran)m(t)g(is)f(p)s(oin)m (ting)364 1940 y(to)36 b(the)h(top,)g(see)g(\014gure)g(9)f(\),)h(then)g Fw(W)14 b FB(\(0\))36 b(is)g Fw(>)e FB(0)i(or)g Fw(<)e FB(0)i(according)g(to)g(the)364 2061 y(sign)f(of)h Fw(H)764 2076 y Ft(0)839 2061 y FB(in)f(that)g(domain.)52 b Fw(")1611 2076 y Ft(0)1686 2061 y FB(has)36 b(to)f(b)s(e)h(exc)m(hanged)i (according)d(to)h(the)364 2181 y(same)c(rule.)3463 2385 y Fk(\003)120 2588 y Fy(De\014nition)k(1)49 b Fp(The)27 b(formal)g(series)h Fw(")1558 2603 y Fv(j)1594 2588 y FB(\()p Fw(h)p FB(\))f(=)h Fw(")1903 2603 y Ft(0)p Fv(;j)2001 2588 y FB(+)7 b Fw(O)s FB(\()p Fw(h)p FB(\))27 b Fp(is)g(the)h FB(semi-classical)22 b(in)m(v)-5 b(arian)m(t)120 2708 y Fp(of)35 b(the)f(sadd)5 b(le)34 b(p)-5 b(oint)35 b Fw(s)988 2723 y Fv(j)1024 2708 y Fp(.)120 3041 y Fx(4)161 b(Sheafs)53 b(on)g Fi(Z)120 3289 y Fo(4.1)135 b(Linear)46 b(algebra)120 3474 y FB(Let)28 b Fw(Z)35 b FB(b)s(e)29 b(a)f(connected)h(tetra)m(v)-5 b(alen)m(t)28 b(graph)g(whic)m(h)h(ma)m (y)f(ha)m(v)m(e)i(some)e(op)s(en)g(edges.)43 b(Let)28 b(us)120 3594 y(denote)f(b)m(y)g Fw(e)g FB(the)f(generic)h(edge.)42 b(W)-8 b(e)26 b(also)g(assume)g(that)g(w)m(e)i(ha)m(v)m(e)f(c)m(hosen)h (for)e(eac)m(h)h(v)m(ertex)120 3715 y(some)34 b(lab)s(eling)d(of)j(the) g(four)g(attac)m(hed)g(edges:)48 b Fw(e)1966 3730 y Ft(1)2005 3715 y Fw(;)17 b(e)2094 3730 y Ft(2)2134 3715 y Fw(;)g(e)2223 3730 y Ft(3)2262 3715 y Fw(;)g(e)2351 3730 y Ft(4)2424 3715 y FB(\(for)34 b(example,)g(b)m(y)h(follo)m(wing)120 3835 y(the)e(con)m(v)m(en)m(tion)h(of)e(the)h(\014gure)g(7,)f(p.)44 b(13\).)120 4063 y Fy(De\014nition)36 b(2)49 b Fp(We)38 b(de\014ne)f(a)h(she)-5 b(af)38 b Fs(F)43 b FB(=)34 b(\()p Fw(Z)r(;)17 b(E)1999 4078 y Fv(e)2035 4063 y Fw(;)g(F)2142 4078 y Fv(s)2179 4063 y FB(\))38 b Fp(on)g Fw(Z)45 b Fp(in)38 b(the)g(fol)5 b(lowing)37 b(way:)51 b(to)120 4184 y(e)-5 b(ach)39 b(e)-5 b(dge)39 b Fw(e)p Fp(,)i(we)e(asso)-5 b(ciate)39 b(a)h(1-dimensional)d(ve)-5 b(ctor)39 b(sp)-5 b(ac)g(e)39 b Fw(E)2589 4199 y Fv(e)2666 4184 y Fp(over)g(a)h(\014eld)f Fw(K)47 b Fp(\(or)39 b(a)120 4304 y(fr)-5 b(e)g(e)43 b(mo)-5 b(dulus)44 b(over)f(some)g(ring\))g(and,)i(to)f(e)-5 b(ach)43 b(vertex)g Fw(s)p Fp(,)j(we)d(asso)-5 b(ciate)43 b(a)h(generic)e(2-)120 4425 y(dimensional)d(subsp)-5 b(ac)g(e)39 b Fw(F)1128 4440 y Fv(s)1206 4425 y Fp(of)h(the)h(dir)-5 b(e)g(ct)40 b(sum)h Fs(\010)2057 4388 y Ft(4)2057 4449 y Fv(i)p Ft(=1)2176 4425 y Fw(E)2248 4440 y Fv(e)2281 4450 y Fn(i)2311 4425 y Fp(.)62 b(Generic)81 b(me)-5 b(ans)40 b(that)h Fw(F)3393 4440 y Fv(s)3470 4425 y Fp(is)120 4545 y(not)35 b(include)-5 b(d)34 b(into)h(a)f(sum)h(of)g(3)f(of)h(the) g Fw(E)1714 4560 y Fv(e)1747 4570 y Fn(j)1818 4545 y Fp(and)g(do)-5 b(es)34 b(not)h(c)-5 b(ontain)34 b(any)h(lines)f Fw(E)3228 4560 y Fv(e)3261 4570 y Fn(j)3320 4545 y Fs(\010)22 b FB(0)p Fp(.)120 4773 y FB(W)-8 b(e)29 b(can)h(in)m(terpret)f Fw(F)923 4788 y Fv(s)989 4773 y FB(as)g(the)g(graph)g(of)g(a)f(linear)g (mapping)f Fw(T)2449 4788 y Fv(s)2514 4773 y FB(:)h Fw(E)2641 4788 y Fv(e)2674 4797 y Fr(1)2727 4773 y Fs(\010)15 b Fw(E)2891 4788 y Fv(e)2924 4797 y Fr(2)2991 4773 y Fs(!)27 b Fw(E)3190 4788 y Fv(e)3223 4797 y Fr(3)3277 4773 y Fs(\010)15 b Fw(E)3441 4788 y Fv(e)3474 4797 y Fr(4)3513 4773 y FB(.)120 4894 y(There)33 b(exists)f(some)f(basis)g(of)g(the)h Fw(E)1499 4909 y Fv(e)1532 4919 y Fn(i)1593 4894 y FB(suc)m(h)h(that)e (the)h(matrix)e(of)h Fw(T)45 b FB(satis\014es)32 b Fw(T)3132 4909 y Fv(i;j)3240 4894 y FB(=)27 b(1)k(for)120 5014 y(\()p Fw(i;)17 b(j)6 b FB(\))27 b(=)h(\(1)p Fw(;)17 b FB(4\))p Fw(;)g FB(\(2)p Fw(;)g FB(3\))p Fw(;)g FB(\(2)p Fw(;)g FB(4\))29 b(and)k Fw(T)1468 5029 y Ft(1)p Fv(;)p Ft(3)1590 5014 y FB(=)28 b Fw(\032)1744 5029 y Fv(s)1781 5014 y FB(.)1467 5295 y Fw(T)41 b FB(=)1669 5155 y Fu(\022)1783 5234 y Fw(\032)1833 5249 y Fv(s)1954 5234 y FB(1)1783 5354 y(1)122 b(1)2044 5155 y Fu(\023)2166 5295 y Fw(:)1174 b FB(\(16\))1781 5712 y(11)p eop %%Page: 12 12 12 11 bop 120 407 a Fw(\032)170 422 y Fv(s)237 407 y FB(is)29 b(a)h(non-zero)g(scalar)f(whic)m(h)i(is)e(indep)s(enden)m(t)i (of)e(the)i(c)m(hosen)g(basis:)42 b Fw(\032)2909 422 y Fv(s)2974 407 y FB(=)3088 357 y Fv(T)3129 366 y Fr(1)p Fn(;)p Fr(3)3213 357 y Fv(T)3254 366 y Fr(2)p Fn(;)p Fr(4)p 3088 384 251 4 v 3088 441 a Fv(T)3129 450 y Fr(1)p Fn(;)p Fr(4)3213 441 y Fv(T)3254 450 y Fr(2)p Fn(;)p Fr(3)3348 407 y Fw(:)30 b FB(W)-8 b(e)120 543 y(ma)m(y)33 b(in)m(terpret)h(it)e(using)h(some)g(cross-ratio)f(as)i(in)e([6].)46 b(Let)33 b(us)h(de\014ne)h(the)e(lines)g Fw(D)3277 558 y Fv(i)3334 543 y Fs(\032)c Fw(F)3503 558 y Fv(s)120 663 y FB(as)h(the)h(v)m(ectors)g(whose)g(pro)5 b(jection)30 b(on)g Fw(E)1682 678 y Fv(e)1715 688 y Fn(i)1776 663 y FB(v)-5 b(anishes.)43 b(Then)31 b Fw(\032)2498 678 y Fv(s)2565 663 y FB(is)f(the)g(cross-ratio)f(of)h(the)120 784 y(four)h(lines)g Fw(D)625 799 y Fv(i)653 784 y FB(.)43 b(Suc)m(h)33 b(bases)f(are)g(unique)g(up)g(to)f(some)g(global)e (similarit)m(y)-8 b(..)40 b(Suc)m(h)32 b(a)g(c)m(hoice)120 904 y(of)26 b(basis)h(can)g(b)s(e)g(in)m(terpreted)h(as)f(a)f (sub-sheaf)i Fs(F)1937 919 y Ft(1)2003 904 y FB(of)e Fs(F)36 b FB(on)27 b Fw(Z)7 b FB(.)41 b(The)28 b(germs)e(of)h Fs(F)3137 919 y Ft(1)3176 904 y FB(-sections)120 1025 y(at)i(eac)m(h)i(v)m(ertex)h(is)d(no)m(w)h(of)g(dimension)e(1.)43 b(Let)29 b Fw(\015)35 b FB(b)s(e)30 b(a)g(cycle)g(of)f Fw(Z)7 b FB(.)43 b(W)-8 b(e)30 b(asso)s(ciate)g(with)f(it)120 1145 y(a)h(non)h(zero)g(scalar)e Fw(h)921 1160 y Fv(\015)996 1145 y FB(whic)m(h)i(is)f(the)h(holonom)m(y)f(along)f Fw(\015)35 b FB(of)30 b(the)h(sheaf)g Fs(F)2914 1160 y Ft(1)2983 1145 y FB(de\014ned)h(using)120 1265 y(the)37 b(follo)m(wing)d(prescription:)50 b(if)36 b Fw(\036)1442 1280 y Ft(+)1537 1265 y FB(is)g(a)g(section)g(on)h(the)g(edge)g Fw(e)f FB(\()p Fw(\036)2768 1280 y Ft(+)2861 1265 y Fs(2)f Fw(E)3034 1280 y Fv(e)3096 1265 y Fs(n)24 b FB(0\))36 b(whic)m(h)120 1386 y(w)m(e)e(follo)m(w)c(as)j(section)g(of)f Fs(F)1174 1401 y Ft(1)1246 1386 y FB(along)f Fw(\015)5 b FB(,)32 b(w)m(e)i(get)f(a)f(new)h(v)m(ector)h Fw(\036)2560 1401 y FC(\000)2651 1386 y FB(in)e Fw(E)2837 1401 y Fv(e)2907 1386 y FB(and)g(w)m(e)i(put:)120 1586 y Fy(De\014nition)i(3)49 b Fp(The)34 b(holonomy)g(of)h Fw(\015)k Fp(is)c(then)g(de\014ne)-5 b(d)34 b(by:)1566 1802 y Fw(\036)1624 1817 y Ft(+)1711 1802 y FB(=)27 b Fw(h)1870 1817 y Fv(\015)1915 1802 y Fw(\036)1973 1817 y FC(\000)2067 1802 y Fw(:)1313 3041 y @beginspecial @setspecial %%BeginDocument: holophi.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -26.0 143.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-iso isovec ReEncode /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 4403 m -1000 -1000 l 4931 -1000 l 4931 4403 l cp clip 0.04200 0.04200 sc % Polyline 7.500 slw n 645 2460 m 646 2459 l 649 2456 l 654 2452 l 662 2444 l 674 2434 l 689 2420 l 709 2403 l 732 2382 l 759 2358 l 789 2332 l 822 2303 l 857 2272 l 894 2240 l 933 2206 l 973 2172 l 1013 2138 l 1053 2105 l 1092 2072 l 1131 2040 l 1170 2009 l 1207 1979 l 1244 1950 l 1280 1922 l 1315 1896 l 1349 1871 l 1382 1846 l 1415 1823 l 1448 1801 l 1481 1779 l 1513 1758 l 1546 1738 l 1579 1718 l 1612 1698 l 1646 1679 l 1680 1660 l 1710 1644 l 1741 1627 l 1772 1611 l 1804 1595 l 1837 1578 l 1872 1562 l 1907 1545 l 1944 1528 l 1982 1510 l 2022 1493 l 2064 1474 l 2108 1455 l 2153 1436 l 2201 1416 l 2251 1395 l 2303 1374 l 2357 1352 l 2413 1330 l 2471 1306 l 2531 1283 l 2593 1258 l 2655 1234 l 2719 1209 l 2782 1185 l 2846 1160 l 2908 1137 l 2969 1113 l 3027 1091 l 3082 1070 l 3134 1051 l 3181 1033 l 3223 1017 l 3260 1003 l 3291 991 l 3317 982 l 3337 974 l 3352 968 l 3363 964 l 3370 962 l 3373 961 l 3375 960 l gs col-1 s gr % Polyline n 1020 855 m 1020 857 l 1021 861 l 1022 868 l 1025 880 l 1028 897 l 1032 919 l 1038 947 l 1044 981 l 1052 1021 l 1061 1067 l 1072 1118 l 1083 1174 l 1095 1234 l 1108 1298 l 1122 1363 l 1136 1431 l 1150 1499 l 1165 1568 l 1180 1636 l 1195 1704 l 1209 1770 l 1224 1834 l 1239 1896 l 1253 1956 l 1267 2013 l 1281 2068 l 1295 2120 l 1308 2170 l 1322 2218 l 1335 2263 l 1348 2305 l 1361 2346 l 1374 2385 l 1387 2421 l 1400 2456 l 1413 2490 l 1427 2522 l 1440 2552 l 1454 2582 l 1468 2610 l 1483 2638 l 1502 2672 l 1522 2706 l 1543 2738 l 1564 2769 l 1586 2799 l 1609 2829 l 1633 2857 l 1657 2884 l 1683 2910 l 1709 2935 l 1735 2959 l 1763 2982 l 1791 3004 l 1819 3024 l 1848 3044 l 1877 3062 l 1906 3079 l 1936 3094 l 1965 3108 l 1994 3121 l 2024 3132 l 2052 3142 l 2081 3151 l 2109 3159 l 2137 3165 l 2165 3171 l 2191 3175 l 2218 3178 l 2244 3181 l 2270 3182 l 2295 3183 l 2320 3183 l 2348 3181 l 2377 3179 l 2405 3175 l 2434 3171 l 2463 3164 l 2493 3157 l 2524 3148 l 2556 3137 l 2589 3125 l 2624 3112 l 2661 3097 l 2700 3080 l 2739 3062 l 2781 3042 l 2822 3022 l 2864 3001 l 2906 2980 l 2946 2959 l 2983 2939 l 3017 2921 l 3046 2906 l 3071 2892 l 3090 2882 l 3104 2874 l 3113 2869 l 3118 2866 l 3120 2865 l gs col-1 s gr % Polyline [15 45] 45 sd n 3465 2430 m 3464 2434 l 3461 2441 l 3456 2454 l 3449 2472 l 3441 2493 l 3431 2516 l 3422 2539 l 3412 2561 l 3403 2582 l 3395 2601 l 3386 2617 l 3378 2633 l 3370 2647 l 3361 2660 l 3353 2673 l 3343 2685 l 3333 2697 l 3322 2710 l 3310 2723 l 3296 2736 l 3281 2751 l 3263 2767 l 3244 2784 l 3224 2802 l 3204 2819 l 3186 2835 l 3171 2848 l 3160 2857 l 3153 2862 l 3150 2865 l gs col-1 s gr [] 0 sd % Polyline [15 45] 45 sd gs clippath 3041 1995 m 3049 1871 l 3100 1985 l 3072 1825 l 3013 1835 l cp clip n 2310 1560 m 2307 1561 l 2301 1564 l 2290 1569 l 2274 1576 l 2252 1586 l 2225 1599 l 2193 1614 l 2159 1630 l 2122 1647 l 2085 1665 l 2048 1683 l 2013 1701 l 1979 1718 l 1948 1735 l 1919 1750 l 1892 1765 l 1868 1780 l 1845 1794 l 1825 1808 l 1805 1821 l 1788 1835 l 1771 1849 l 1755 1863 l 1740 1877 l 1725 1891 l 1711 1906 l 1698 1922 l 1685 1939 l 1673 1956 l 1661 1974 l 1651 1992 l 1640 2011 l 1631 2031 l 1623 2051 l 1615 2072 l 1609 2093 l 1603 2114 l 1599 2136 l 1596 2158 l 1594 2179 l 1593 2201 l 1593 2223 l 1594 2244 l 1596 2265 l 1599 2287 l 1603 2308 l 1608 2330 l 1613 2352 l 1620 2374 l 1629 2397 l 1638 2421 l 1648 2445 l 1660 2469 l 1673 2494 l 1687 2519 l 1702 2545 l 1719 2570 l 1736 2595 l 1755 2620 l 1774 2645 l 1795 2669 l 1816 2692 l 1837 2714 l 1859 2735 l 1881 2755 l 1904 2773 l 1927 2791 l 1950 2807 l 1973 2822 l 1996 2835 l 2020 2848 l 2042 2858 l 2065 2867 l 2089 2876 l 2113 2884 l 2139 2891 l 2164 2897 l 2191 2902 l 2218 2906 l 2246 2910 l 2275 2913 l 2304 2915 l 2333 2916 l 2362 2916 l 2391 2915 l 2420 2914 l 2449 2911 l 2477 2909 l 2505 2905 l 2532 2901 l 2558 2896 l 2584 2891 l 2608 2885 l 2632 2879 l 2656 2872 l 2678 2865 l 2700 2858 l 2723 2849 l 2746 2840 l 2769 2830 l 2791 2820 l 2813 2808 l 2835 2796 l 2856 2784 l 2877 2770 l 2898 2755 l 2918 2740 l 2937 2724 l 2956 2708 l 2973 2691 l 2990 2673 l 3006 2655 l 3021 2637 l 3034 2618 l 3047 2599 l 3058 2580 l 3068 2561 l 3077 2542 l 3085 2522 l 3092 2503 l 3098 2483 l 3102 2462 l 3106 2441 l 3110 2418 l 3112 2395 l 3113 2370 l 3113 2343 l 3112 2315 l 3110 2284 l 3107 2250 l 3103 2215 l 3099 2177 l 3094 2137 l 3088 2096 l 3081 2054 l 3075 2013 l 3068 1975 l 3062 1940 l 3057 1909 l 3052 1885 l 3045 1845 l gs col-1 s gr gr [] 0 sd % arrowhead n 3041 1995 m 3049 1871 l 3100 1985 l col-1 s % Polyline n 1905 555 m 1907 556 l 1911 559 l 1918 565 l 1929 573 l 1946 586 l 1967 602 l 1993 621 l 2024 645 l 2059 672 l 2098 701 l 2140 733 l 2184 767 l 2230 802 l 2276 838 l 2323 874 l 2369 909 l 2413 944 l 2456 977 l 2498 1010 l 2537 1041 l 2575 1071 l 2611 1099 l 2644 1127 l 2676 1153 l 2706 1177 l 2734 1201 l 2761 1224 l 2786 1246 l 2810 1267 l 2833 1288 l 2855 1308 l 2877 1328 l 2898 1348 l 2924 1373 l 2949 1399 l 2974 1424 l 2998 1450 l 3022 1475 l 3046 1501 l 3068 1527 l 3091 1554 l 3113 1580 l 3134 1606 l 3154 1633 l 3174 1659 l 3193 1685 l 3212 1711 l 3229 1736 l 3245 1760 l 3261 1785 l 3276 1808 l 3289 1831 l 3302 1853 l 3314 1874 l 3325 1894 l 3335 1914 l 3345 1933 l 3354 1952 l 3363 1970 l 3373 1993 l 3382 2016 l 3391 2039 l 3399 2062 l 3407 2085 l 3415 2110 l 3422 2136 l 3430 2164 l 3437 2193 l 3444 2223 l 3451 2254 l 3457 2285 l 3463 2314 l 3469 2340 l 3473 2362 l 3476 2379 l 3478 2390 l 3479 2397 l 3480 2400 l gs col-1 s gr $F2psEnd rs %%EndDocument @endspecial 2016 2191 a Fv(s)2049 2168 y Fh(0)1832 2848 y Fv(\015)2236 2433 y(\036)2278 2442 y Fr(+)1433 2533 y Fv(s)1685 3021 y(\036)1727 3030 y Fh(\000)1080 3245 y FB(Figure)k(6:)44 b(recip)s(e)32 b(for)g(the)h(holonomies)266 3579 y(W)-8 b(e)33 b(then)g(ha)m(v)m(e)h(the:)120 3779 y Fy(Theorem)j(3)49 b Fp(The)24 b Fw(n)p FB(+)p Fw(N)36 b Fp(non-zer)-5 b(o)23 b(sc)-5 b(alars)25 b Fw(\032)1887 3794 y Fv(s)1949 3779 y Fp(and)f Fw(h)2184 3794 y Fv(\015)2253 3779 y Fp(de\014ne)g(the)h(she)-5 b(af)24 b Fs(F)38 b FB(=)27 b(\()p Fw(Z)r(;)17 b(E)3349 3794 y Fv(e)3385 3779 y Fw(;)g(F)3492 3794 y Fv(s)3529 3779 y FB(\))120 3899 y Fp(up)36 b(to)h(isomorphism.)47 b(If)36 b(we)g(c)-5 b(al)5 b(l)36 b FB(section)g Fp(of)h Fs(F)45 b Fp(the)37 b(data)f(of)g(one)g(ve)-5 b(ctor)36 b(of)g Fs(\010)p Fw(E)3227 3914 y Fv(e)3301 3899 y Fp(which)120 4020 y(b)-5 b(elongs)30 b(to)i Fw(F)627 4035 y Fv(s)695 4020 y Fp(for)f(e)-5 b(ach)30 b(vertex,)i(the)f(dimension)f(of)h(the)g(sp)-5 b(ac)g(e)30 b(of)h(se)-5 b(ctions)31 b Fw(b)3034 4035 y Ft(0)3074 4020 y FB(\()p Fs(F)10 b FB(\))30 b Fp(is)h(only)120 4140 y(dep)-5 b(endent)35 b(of)i(these)f(invariants.)48 b(The)36 b(same)g(statement)g(is)g(true)h(for)g(the)f Fs(S)7 b Fp(-matrix)37 b(\(up)120 4260 y(to)e(c)-5 b(onjugacy)34 b(by)h(diagonal)f(matric)-5 b(es\))34 b(in)h(c)-5 b(ase)34 b(wher)-5 b(e)34 b Fw(Z)42 b Fp(admits)34 b(some)g(op)-5 b(en)34 b(e)-5 b(dges.)120 4461 y(Pr)g(o)g(of.{)403 4661 y FB(By)39 b(cutting)g(some)g(edges)h(of)e Fw(Z)7 b FB(,)41 b(w)m(e)f(get)f(a)g(maximal)d(tree)j Fw(T)53 b FB(of)38 b Fw(Z)7 b FB(.)63 b(Eac)m(h)364 4781 y Fp(oriente)-5 b(d)26 b FB(cut)h(edge)g(is)f(asso)s(ciated)h(to)f(some)h(unique)g (cycle)g Fw(\015)33 b Fs(2)28 b Fw(H)2819 4796 y Ft(1)2858 4781 y FB(\()p Fw(Z)r(;)17 b Fq(Z)p FB(\))23 b(and)364 4901 y(that)34 b(w)m(a)m(y)h(w)m(e)g(get)g(a)f(bijection)f(b)s(et)m(w)m (een)j(the)e(set)h(of)f(cut)h(edges)g(and)f(a)g(basis)364 5022 y(of)i(cycles)i(of)f Fw(Z)7 b FB(.)56 b(The)38 b(data)e(p)s(ermit) g(to)g(trivialize)e(the)j(sheaf)h Fs(F)2816 5037 y Ft(1)2892 5022 y FB(on)e Fw(T)51 b FB(and)364 5142 y(rebuilding)28 b Fs(F)40 b FB(on)31 b Fw(T)14 b FB(.)42 b(Holonomies)29 b Fw(h)1786 5157 y Fv(\015)1861 5142 y FB(can)h(then)h(b)s(e)g(read)g (on)f(the)h(cut)g(edges)364 5263 y(using)h(the)h(de\014nition)f(3.)3463 5463 y Fk(\003)1781 5712 y FB(12)p eop %%Page: 13 13 13 12 bop 120 407 a Fo(4.2)135 b(The)45 b(semi-classical)i(case)120 592 y FB(Let)e Fq(C)20 b FB(\()p Fw(h)p FB(\))50 b(b)s(e)44 b(the)h(ring)f(of)g(formal)e(p)s(o)m(w)m(er)j(series)g(in)f Fw(h)p FB(.)79 b(In)44 b(what)h(follo)m(ws,)h Fw(E)3213 607 y Fv(e)3295 592 y FB(is)e(the)120 712 y Fq(C)20 b FB(\()p Fw(h)p FB(\))p Fs(\000)p FB(mo)s(dulus)48 b(of)42 b(microlo)s(cal)c(solutions)j(along)g Fw(e)i FB(mo)s(dulo)d Fw(O)s FB(\()p Fw(h)2710 676 y FC(1)2784 712 y FB(\).)73 b(Mo)s(duli)41 b Fw(F)3331 727 y Fv(s)3410 712 y FB(are)120 832 y(giv)m(en)28 b(b)m(y)h(microlo)s(cal)c(solutions)i(near)h(the)h (saddle)f(p)s(oin)m(t)f Fw(s)p FB(.)42 b(The)29 b(n)m(um)m(b)s(er)g Fw(\032)f FB(is)g(computed)120 953 y(in)h(terms)g(of)h(the)g(series)g Fw(")p FB(\()p Fw(h)p FB(\))f(asso)s(ciated)h(to)f(the)h(saddle)g(p)s (oin)m(t)e(b)m(y)j(the)f(theorem)f(2.)43 b(More)120 1073 y(precisely)-8 b(,)33 b(w)m(e)g(get)1572 1284 y Fw(\032)1622 1299 y Fv(s)1687 1284 y FB(=)28 b Fs(\000)p Fw(e)1913 1243 y Ft(2)p Fv(\031)r(")2061 1284 y Fw(:)1279 b FB(\(17\))120 1495 y(Of)25 b(course,)j(w)m(e)f(ma)m(y)e(ha)m(v)m(e)i(used)g(another)f (normal)d(form)h(in)h(order)h(to)f(de\014ne)i(the)f(sub-sheaf)120 1616 y Fs(F)192 1631 y Ft(1)231 1616 y FB(.)266 1736 y(The)34 b Fw(e)512 1751 y Fv(i)540 1736 y FB('s)f(are)g(c)m(hosen)h (near)f Fw(s)f FB(as)h(in)f(\014gure)h(7.)1143 2795 y @beginspecial @setspecial %%BeginDocument: choix.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -29.0 204.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 5845 m -1000 -1000 l 5542 -1000 l 5542 5845 l cp clip 0.04200 0.04200 sc % Polyline 7.500 slw [60] 0 sd gs clippath 2356 2352 m 2385 2231 l 2416 2352 l 2415 2190 l 2355 2190 l cp clip n 2400 4590 m 2385 2205 l gs col-1 s gr gr [] 0 sd % arrowhead n 2356 2352 m 2385 2231 l 2416 2352 l col-1 s % Polyline [60] 0 sd gs clippath 4384 3943 m 4503 3974 l 4383 4003 l 4545 4005 l 4545 3945 l cp clip n 870 3915 m 4530 3975 l gs col-1 s gr gr [] 0 sd % arrowhead n 4384 3943 m 4503 3974 l 4383 4003 l col-1 s % Polyline n 720 4710 m 722 4709 l 725 4707 l 732 4704 l 743 4699 l 758 4691 l 778 4681 l 804 4669 l 834 4653 l 870 4636 l 910 4616 l 955 4594 l 1003 4571 l 1054 4546 l 1107 4520 l 1162 4493 l 1217 4466 l 1273 4439 l 1328 4413 l 1382 4387 l 1436 4361 l 1488 4336 l 1539 4312 l 1588 4289 l 1635 4267 l 1681 4246 l 1726 4225 l 1769 4206 l 1811 4187 l 1852 4169 l 1892 4151 l 1931 4134 l 1970 4118 l 2008 4102 l 2046 4086 l 2084 4071 l 2122 4055 l 2160 4040 l 2195 4026 l 2230 4013 l 2266 3999 l 2302 3985 l 2338 3971 l 2376 3957 l 2415 3943 l 2454 3929 l 2495 3914 l 2538 3899 l 2582 3884 l 2627 3868 l 2675 3852 l 2724 3835 l 2775 3817 l 2828 3799 l 2884 3781 l 2941 3762 l 3000 3742 l 3060 3722 l 3122 3702 l 3185 3681 l 3248 3660 l 3312 3640 l 3375 3619 l 3437 3599 l 3498 3579 l 3556 3561 l 3610 3543 l 3661 3527 l 3708 3512 l 3750 3498 l 3786 3486 l 3817 3477 l 3842 3468 l 3863 3462 l 3878 3457 l 3888 3454 l 3895 3452 l 3898 3450 l 3900 3450 l gs col-1 s gr % Polyline n 1020 2790 m 1021 2791 l 1024 2794 l 1029 2799 l 1036 2807 l 1047 2818 l 1061 2832 l 1079 2851 l 1101 2873 l 1126 2898 l 1154 2926 l 1185 2957 l 1219 2990 l 1254 3025 l 1290 3061 l 1328 3098 l 1366 3135 l 1404 3171 l 1442 3207 l 1479 3243 l 1516 3277 l 1553 3311 l 1588 3343 l 1623 3374 l 1658 3404 l 1692 3433 l 1725 3462 l 1758 3489 l 1792 3516 l 1825 3542 l 1858 3568 l 1892 3594 l 1926 3619 l 1961 3644 l 1996 3670 l 2033 3695 l 2062 3715 l 2091 3735 l 2122 3756 l 2153 3777 l 2185 3798 l 2219 3819 l 2253 3841 l 2289 3864 l 2326 3887 l 2365 3911 l 2405 3935 l 2447 3961 l 2491 3987 l 2536 4014 l 2584 4043 l 2634 4072 l 2686 4102 l 2740 4134 l 2795 4166 l 2853 4200 l 2913 4234 l 2974 4269 l 3037 4305 l 3101 4342 l 3166 4379 l 3231 4415 l 3296 4452 l 3360 4489 l 3423 4524 l 3484 4559 l 3543 4592 l 3599 4623 l 3651 4652 l 3699 4679 l 3742 4703 l 3780 4725 l 3813 4743 l 3841 4759 l 3864 4772 l 3882 4782 l 3895 4789 l 3905 4794 l 3911 4798 l 3914 4799 l 3915 4800 l gs col-1 s gr $F2psEnd rs %%EndDocument @endspecial 2050 2307 a Fv(e)2083 2316 y Fr(1)2071 2795 y Fv(e)2104 2804 y Fr(4)1294 2732 y Fv(e)1327 2741 y Fr(2)1383 2186 y Fv(e)1416 2195 y Fr(3)1263 2998 y FB(Figure)e(7:)43 b(c)m(hoice)33 b(of)f(the)h Fw(e)2303 3013 y Fv(i)2332 2998 y FB('s)266 3338 y(W)-8 b(e)33 b(then)g(tak)m(e)h(as)f(normal)d (form:)1230 3582 y Fw(T)14 b FB(\()p Fw(")p FB(\))27 b(=)g Fs(E)1631 3442 y Fu(\022)1746 3521 y FB(1)247 b Fw(ie)2120 3485 y FC(\000)p Fv("\031)1746 3642 y Fw(ie)1824 3606 y FC(\000)p Fv("\031)2042 3642 y FB(1)2297 3442 y Fu(\023)2387 3582 y Fw(;)953 b FB(\(18\))120 3846 y(where:)1010 4077 y Fs(E)92 b FB(=)1394 4010 y(1)p 1323 4054 191 4 v 1323 4074 a Fs(p)p 1406 4074 108 4 v 82 x FB(2)p Fw(\031)1524 4077 y FB(\000\()1633 4010 y(1)p 1633 4054 49 4 v 1633 4145 a(2)1714 4077 y(+)22 b Fw(i")p FB(\))p Fw(e)1974 4036 y Fv(")p Ft(\()2044 4009 y Fn(\031)p 2044 4021 38 3 v 2048 4062 a Fr(2)2092 4036 y Ft(+)p Fv(i)12 b Ft(ln)f Fv(h)p Ft(\))3367 4077 y FB(\(19\))1155 4334 y(=)1533 4267 y(1)p 1323 4311 467 4 v 1323 4331 a Fs(p)p 1406 4331 384 4 v 83 x FB(1)22 b(+)g Fw(e)1620 4385 y FC(\000)p Ft(2)p Fv(\031)r(")1800 4334 y Fw(e)1845 4293 y Fv(i)12 b Ft(arg)h(\000\(1)p Fv(=)p Ft(2+)p Fv(i")p Ft(\)+)p Fv(i")g Ft(ln\()p Fv(h)p Ft(\))2623 4334 y Fw(:)717 b FB(\(20\))120 4595 y(As)33 b Fw(")27 b Fs(!)h(\0061)p FB(,)k(Stirling's)f(form)m(ula)g(allo)m(ws)g(to)h(sho)m(w)i(the)f (follo)m(wing)d(asymptotics)799 4859 y Fw(T)14 b FB(\()p Fw(")p FB(\))26 b(=)i Fw(e)1167 4818 y Fv(i")12 b Ft(ln)f FC(j)p Fv(h")p FC(j)1439 4719 y Fu(\022)1554 4798 y FB(1)83 b(0)1554 4919 y(0)g(1)1776 4719 y Fu(\023)1866 4859 y FB(\(1)22 b(+)g Fw(O)s FB(\()2199 4792 y(1)p 2199 4836 49 4 v 2201 4927 a Fw(")2257 4859 y FB(\)\))p Fw(;)49 b(")27 b Fs(!)h FB(+)p Fs(1)k Fw(;)522 b FB(\(21\))120 5123 y(and)806 5367 y Fw(T)14 b FB(\()p Fw(")p FB(\))27 b(=)h Fw(e)1175 5326 y Fv(i")11 b Ft(ln)h FC(j)p Fv(h")p FC(j)1447 5227 y Fu(\022)1562 5306 y FB(0)83 b Fw(i)1562 5427 y(i)99 b FB(0)1784 5227 y Fu(\023)1874 5367 y FB(\(1)22 b(+)g Fw(O)s FB(\()2207 5300 y(1)p 2207 5344 V 2209 5436 a Fw(")2265 5367 y FB(\)\))p Fw(;)49 b(")27 b Fs(!)g(\0001)33 b Fw(:)513 b FB(\(22\))1781 5712 y(13)p eop %%Page: 14 14 14 13 bop 120 407 a FB(These)37 b(asymptotics)d(describ)s(e)i(the)f (transition)f(b)s(et)m(w)m(een)j(the)e(singular)e(and)i(the)h(smo)s (oth)120 527 y(case.)44 b(They)34 b(allo)m(w)d(in)h(particular)f(to)h (c)m(hec)m(k)j(the)e(v)-5 b(alidit)m(y)31 b(of)h(the)h(quan)m(tization) e(form)m(ula!)266 648 y Fp(Pr)-5 b(oblem:)67 b FB(ho)m(w)46 b(should)e(w)m(e)i(write)f(the)g(condition)e Fw(b)2326 663 y Ft(0)2366 648 y FB(\()p Fs(F)10 b FB(\))48 b Fs(6)p FB(=)g(0)d(in)f(terms)g(of)h(these)120 768 y(in)m(v)-5 b(arian)m(ts?)43 b(Ho)m(w)33 b(should)f(w)m(e)i(compute)e(the)h (scattering)g(matrix?)266 888 y(Here)j(is)f(a)g(p)s(ossible)f(w)m(a)m (y)j(to)d(deriv)m(e)i(the)g(quan)m(tization)e(conditions.)50 b(W)-8 b(e)36 b(\014rst)g(cut)f Fw(b)3500 903 y Ft(1)120 1009 y FB(edges)27 b(of)f Fw(Z)33 b FB(in)26 b(order)g(to)g(get)g(a)g (maximal)d(tree)k Fw(T)14 b FB(.)41 b(W)-8 b(e)26 b(c)m(ho)s(ose)h(a)f (non)g(zero)h(section)f Fw(\036)g FB(of)g Fs(F)3501 1024 y Ft(1)120 1129 y FB(on)32 b Fw(T)14 b FB(.)43 b(W)-8 b(e)32 b(then)g(try)g(to)g(get)g(a)f(solution)f Fw( )i FB(=)c Fw(x\036)k FB(:)43 b Fw(x)28 b FB(=)f(\()p Fw(x)2365 1144 y Fv(e)2402 1129 y Fw(;)49 b(e)28 b Fs(2)g Fw(E)6 b FB(\()p Fw(T)14 b FB(\))31 b(;)49 b(\()p Fw(x)3070 1093 y Ft(+)3070 1154 y Fv(e)3129 1129 y Fw(;)17 b(x)3228 1093 y FC(\000)3228 1154 y Fv(e)3287 1129 y FB(\))p Fw(;)49 b(e)28 b Fs(2)120 1249 y Fw(E)6 b FB(\()p Fw(Z)15 b Fs(n)8 b Fw(T)14 b FB(\)\))25 b(whic)m(h)h(satisfy)g(at)f(eac)m(h)i(v)m(ertex) g(\()p Fw(x)1824 1264 y Ft(3)1864 1249 y Fw(;)17 b(x)1963 1264 y Ft(4)2003 1249 y FB(\))27 b(=)h Fw(T)14 b FB(\()p Fw(")p FB(\)\()p Fw(x)2458 1264 y Ft(1)2497 1249 y Fw(;)j(x)2596 1264 y Ft(2)2636 1249 y FB(\))25 b(and)h Fw(x)2937 1213 y Ft(+)2937 1274 y Fv(e)3024 1249 y FB(=)i(\()p Fw(h)3222 1264 y Fv(\015)3266 1249 y FB(\))3304 1213 y FC(\000)p Ft(1)3398 1249 y Fw(x)3453 1213 y FC(\000)3453 1274 y Fv(e)3513 1249 y FB(.)120 1370 y(Putting)43 b(these)h(last)f(equations) g(in)g(the)g(\014rst)h(system)g(pro)s(duces)h(a)e(system)h(of)f Fw(\027)52 b FB(=)46 b(2)p Fw(n)120 1490 y FB(homogeneous)34 b(linear)e(equations)i(with)f Fw(\027)40 b FB(unkno)m(wn.)49 b(The)35 b(quan)m(tization)d(condition)h(can)120 1611 y(then)g(b)s(e)g(written)f(as)h(the)g(v)-5 b(anishing)32 b(of)g(a)g Fw(\027)d Fs(\002)22 b Fw(\027)39 b FB(determinan)m(t)32 b(where)i Fw(\027)g FB(=)28 b(2)p Fw(n)p FB(.)1313 2721 y @beginspecial @setspecial %%BeginDocument: holo.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -26.0 143.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-iso isovec ReEncode /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 4403 m -1000 -1000 l 4885 -1000 l 4885 4403 l cp clip 0.04200 0.04200 sc % Polyline 7.500 slw n 645 2460 m 646 2459 l 649 2456 l 654 2452 l 662 2444 l 674 2434 l 689 2420 l 709 2403 l 732 2382 l 759 2358 l 789 2332 l 822 2303 l 857 2272 l 894 2240 l 933 2206 l 973 2172 l 1013 2138 l 1053 2105 l 1092 2072 l 1131 2040 l 1170 2009 l 1207 1979 l 1244 1950 l 1280 1922 l 1315 1896 l 1349 1871 l 1382 1846 l 1415 1823 l 1448 1801 l 1481 1779 l 1513 1758 l 1546 1738 l 1579 1718 l 1612 1698 l 1646 1679 l 1680 1660 l 1710 1644 l 1741 1627 l 1772 1611 l 1804 1595 l 1837 1578 l 1872 1562 l 1907 1545 l 1944 1528 l 1982 1510 l 2022 1493 l 2064 1474 l 2108 1455 l 2153 1436 l 2201 1416 l 2251 1395 l 2303 1374 l 2357 1352 l 2413 1330 l 2471 1306 l 2531 1283 l 2593 1258 l 2655 1234 l 2719 1209 l 2782 1185 l 2846 1160 l 2908 1137 l 2969 1113 l 3027 1091 l 3082 1070 l 3134 1051 l 3181 1033 l 3223 1017 l 3260 1003 l 3291 991 l 3317 982 l 3337 974 l 3352 968 l 3363 964 l 3370 962 l 3373 961 l 3375 960 l gs col-1 s gr % Polyline n 1020 855 m 1020 857 l 1021 861 l 1022 868 l 1025 880 l 1028 897 l 1032 919 l 1038 947 l 1044 981 l 1052 1021 l 1061 1067 l 1072 1118 l 1083 1174 l 1095 1234 l 1108 1298 l 1122 1363 l 1136 1431 l 1150 1499 l 1165 1568 l 1180 1636 l 1195 1704 l 1209 1770 l 1224 1834 l 1239 1896 l 1253 1956 l 1267 2013 l 1281 2068 l 1295 2120 l 1308 2170 l 1322 2218 l 1335 2263 l 1348 2305 l 1361 2346 l 1374 2385 l 1387 2421 l 1400 2456 l 1413 2490 l 1427 2522 l 1440 2552 l 1454 2582 l 1468 2610 l 1483 2638 l 1502 2672 l 1522 2706 l 1543 2738 l 1564 2769 l 1586 2799 l 1609 2829 l 1633 2857 l 1657 2884 l 1683 2910 l 1709 2935 l 1735 2959 l 1763 2982 l 1791 3004 l 1819 3024 l 1848 3044 l 1877 3062 l 1906 3079 l 1936 3094 l 1965 3108 l 1994 3121 l 2024 3132 l 2052 3142 l 2081 3151 l 2109 3159 l 2137 3165 l 2165 3171 l 2191 3175 l 2218 3178 l 2244 3181 l 2270 3182 l 2295 3183 l 2320 3183 l 2348 3181 l 2377 3179 l 2405 3175 l 2434 3171 l 2463 3164 l 2493 3157 l 2524 3148 l 2556 3137 l 2589 3125 l 2624 3112 l 2661 3097 l 2700 3080 l 2739 3062 l 2781 3042 l 2822 3022 l 2864 3001 l 2906 2980 l 2946 2959 l 2983 2939 l 3017 2921 l 3046 2906 l 3071 2892 l 3090 2882 l 3104 2874 l 3113 2869 l 3118 2866 l 3120 2865 l gs col-1 s gr % Polyline [15 45] 45 sd n 3465 2430 m 3464 2434 l 3461 2441 l 3456 2454 l 3449 2472 l 3441 2493 l 3431 2516 l 3422 2539 l 3412 2561 l 3403 2582 l 3395 2601 l 3386 2617 l 3378 2633 l 3370 2647 l 3361 2660 l 3353 2673 l 3343 2685 l 3333 2697 l 3322 2710 l 3310 2723 l 3296 2736 l 3281 2751 l 3263 2767 l 3244 2784 l 3224 2802 l 3204 2819 l 3186 2835 l 3171 2848 l 3160 2857 l 3153 2862 l 3150 2865 l gs col-1 s gr [] 0 sd % Polyline [15 45] 45 sd gs clippath 3041 1995 m 3049 1871 l 3100 1985 l 3072 1825 l 3013 1835 l cp clip n 2310 1560 m 2307 1561 l 2301 1564 l 2290 1569 l 2274 1576 l 2252 1586 l 2225 1599 l 2193 1614 l 2159 1630 l 2122 1647 l 2085 1665 l 2048 1683 l 2013 1701 l 1979 1718 l 1948 1735 l 1919 1750 l 1892 1765 l 1868 1780 l 1845 1794 l 1825 1808 l 1805 1821 l 1788 1835 l 1771 1849 l 1755 1863 l 1740 1877 l 1725 1891 l 1711 1906 l 1698 1922 l 1685 1939 l 1673 1956 l 1661 1974 l 1651 1992 l 1640 2011 l 1631 2031 l 1623 2051 l 1615 2072 l 1609 2093 l 1603 2114 l 1599 2136 l 1596 2158 l 1594 2179 l 1593 2201 l 1593 2223 l 1594 2244 l 1596 2265 l 1599 2287 l 1603 2308 l 1608 2330 l 1613 2352 l 1620 2374 l 1629 2397 l 1638 2421 l 1648 2445 l 1660 2469 l 1673 2494 l 1687 2519 l 1702 2545 l 1719 2570 l 1736 2595 l 1755 2620 l 1774 2645 l 1795 2669 l 1816 2692 l 1837 2714 l 1859 2735 l 1881 2755 l 1904 2773 l 1927 2791 l 1950 2807 l 1973 2822 l 1996 2835 l 2020 2848 l 2042 2858 l 2065 2867 l 2089 2876 l 2113 2884 l 2139 2891 l 2164 2897 l 2191 2902 l 2218 2906 l 2246 2910 l 2275 2913 l 2304 2915 l 2333 2916 l 2362 2916 l 2391 2915 l 2420 2914 l 2449 2911 l 2477 2909 l 2505 2905 l 2532 2901 l 2558 2896 l 2584 2891 l 2608 2885 l 2632 2879 l 2656 2872 l 2678 2865 l 2700 2858 l 2723 2849 l 2746 2840 l 2769 2830 l 2791 2820 l 2813 2808 l 2835 2796 l 2856 2784 l 2877 2770 l 2898 2755 l 2918 2740 l 2937 2724 l 2956 2708 l 2973 2691 l 2990 2673 l 3006 2655 l 3021 2637 l 3034 2618 l 3047 2599 l 3058 2580 l 3068 2561 l 3077 2542 l 3085 2522 l 3092 2503 l 3098 2483 l 3102 2462 l 3106 2441 l 3110 2418 l 3112 2395 l 3113 2370 l 3113 2343 l 3112 2315 l 3110 2284 l 3107 2250 l 3103 2215 l 3099 2177 l 3094 2137 l 3088 2096 l 3081 2054 l 3075 2013 l 3068 1975 l 3062 1940 l 3057 1909 l 3052 1885 l 3045 1845 l gs col-1 s gr gr [] 0 sd % arrowhead n 3041 1995 m 3049 1871 l 3100 1985 l col-1 s % Polyline n 1905 555 m 1907 556 l 1911 559 l 1918 565 l 1929 573 l 1946 586 l 1967 602 l 1993 621 l 2024 645 l 2059 672 l 2098 701 l 2140 733 l 2184 767 l 2230 802 l 2276 838 l 2323 874 l 2369 909 l 2413 944 l 2456 977 l 2498 1010 l 2537 1041 l 2575 1071 l 2611 1099 l 2644 1127 l 2676 1153 l 2706 1177 l 2734 1201 l 2761 1224 l 2786 1246 l 2810 1267 l 2833 1288 l 2855 1308 l 2877 1328 l 2898 1348 l 2924 1373 l 2949 1399 l 2974 1424 l 2998 1450 l 3022 1475 l 3046 1501 l 3068 1527 l 3091 1554 l 3113 1580 l 3134 1606 l 3154 1633 l 3174 1659 l 3193 1685 l 3212 1711 l 3229 1736 l 3245 1760 l 3261 1785 l 3276 1808 l 3289 1831 l 3302 1853 l 3314 1874 l 3325 1894 l 3335 1914 l 3345 1933 l 3354 1952 l 3363 1970 l 3373 1993 l 3382 2016 l 3391 2039 l 3399 2062 l 3407 2085 l 3415 2110 l 3422 2136 l 3430 2164 l 3437 2193 l 3444 2223 l 3451 2254 l 3457 2285 l 3463 2314 l 3469 2340 l 3473 2362 l 3476 2379 l 3478 2390 l 3479 2397 l 3480 2400 l gs col-1 s gr $F2psEnd rs %%EndDocument @endspecial 1396 2212 a Fv(s)2016 1871 y(s)2049 1848 y Fh(0)1832 2527 y Fv(\015)1685 2701 y(x)1725 2671 y Fh(\000)1725 2723 y Fn(j)2236 2113 y Fv(x)2276 2083 y Fr(+)2276 2135 y Fn(j)1690 2055 y Fv(x)1730 2067 y Fn(k)1358 2924 y FB(Figure)k(8:)43 b(The)34 b Fw(x)2041 2939 y Fv(k)2084 2924 y Fw(;)49 b(x)2215 2883 y FC(\006)2215 2950 y Fv(j)2274 2924 y FB(.)266 3262 y Fp(The)35 b(metric)f(c)-5 b(ase:)266 3382 y FB(if)47 b(eac)m(h)j(space)f Fw(E)955 3397 y Fv(e)1040 3382 y FB(is)f(equipp)s(ed)h(with)f(an)g(Hermitian)e (metric)h(and)h(if)f(the)i Fw(T)3325 3397 y Fv(s)3410 3382 y FB(are)120 3502 y(unitary)34 b(maps,)h(it)e(is)h(p)s(ossible)g (to)g(c)m(ho)s(ose)h(as)f(a)h(normal)d(form)h(for)h Fw(T)2728 3517 y Fv(s)2799 3502 y FB(a)g(unitary)g(matrix,)120 3623 y(for)e(example:)1244 3849 y Fw(T)1301 3864 y Fv(s)1365 3849 y FB(=)1469 3709 y Fu(\022)1584 3788 y FB(cos)17 b Fw(\022)1776 3803 y Fv(s)1896 3788 y Fs(\000)g FB(sin)g Fw(\022)2172 3803 y Fv(s)1584 3908 y FB(sin)f Fw(\022)1765 3923 y Fv(s)1896 3908 y FB(cos)h Fw(\022)2088 3923 y Fv(s)2250 3709 y Fu(\023)2373 3849 y Fw(;)967 b FB(\(23\))120 4085 y(with)36 b(0)d Fw(<)g(\022)k(<)739 4046 y Fv(\031)p 739 4062 43 4 v 743 4120 a Ft(2)827 4085 y FB(and)g(tan)1161 4049 y Ft(2)1217 4085 y Fw(\022)1262 4100 y Fv(s)1333 4085 y FB(=)d Fs(\000)p Fw(\032)1570 4100 y Fv(s)1607 4085 y Fw(:)i FB(In)h(that)f(case,)h(the)g(mo)s(dulus)e(of)g (holonomies)f Fw(h)3495 4100 y Fv(\015)120 4206 y FB(are)29 b(1:)42 b(they)29 b(are)h(just)f(phase)h(shifts.)42 b(It)29 b(is)g(easy)h(to)f(c)m(hec)m(k)i(that)e(the)g(condition)f Fw(b)3145 4221 y Ft(0)3212 4206 y Fs(6)p FB(=)g(0)h(can)120 4326 y(b)s(e)k(rewritten)f(as)h(follo)m(ws)120 4446 y(\\1)f(is)g(an)h (eigen)m(v)-5 b(alue)32 b(of)g(a)g(unitary)g(matrix".)266 4567 y(Let)39 b(us)f(assume)h(that)f(w)m(e)h(are)g(lo)s(oking)d(at)h (eigen)m(v)-5 b(alues)39 b(of)e(a)h(Sc)m(hr\177)-49 b(odinger)39 b(op)s(erator)120 4687 y Fw(K)51 b FB(\(cf.)78 b(section)45 b(1.3\).)77 b(The)45 b(equation)f Fw(b)1738 4702 y Ft(0)1826 4687 y Fs(6)p FB(=)j(0)d(is)f(equiv)-5 b(alen)m(t)44 b(to)g(1)g(is)f(an)h(eigen)m(v)-5 b(alue)120 4808 y(of)38 b(a)g(unitary)g(matrix)f(whic)m(h)i(dep)s(ends)h(of)e(the)h(sp)s (ectral)f(parameter)g Fw(\025)p FB(.)62 b(This)38 b(equation)120 4928 y(with)32 b(complex)g(en)m(tries)h(dep)s(ends)h(on)f(a)f(real)g (parameter.)43 b(Let)32 b(us)h(sho)m(w)h(that)e(in)g(fact)g(this)120 5048 y(equation)g(is)g(equiv)-5 b(alen)m(t)33 b(to)f(a)g(real)g(one:)44 b(the)33 b(singular)e(Bohr-Sommerfeld)f(condition.)266 5169 y(Let)j Fw(U)43 b FB(b)s(e)33 b(a)f Fw(n)23 b Fs(\002)f Fw(n)33 b FB(unitary)f(matrix,)f(w)m(e)j(ha)m(v)m(e:)192 5463 y(det)q(\()p Fw(I)29 b Fs(\000)23 b Fw(U)10 b FB(\))28 b(=)g(det\()p Fw(U)10 b(U)1109 5422 y FC(\003)1172 5463 y Fs(\000)23 b Fw(U)10 b FB(\))28 b(=)g(det\()p Fw(U)10 b FB(\))17 b(det)q(\()p Fw(U)2072 5422 y FC(\003)2134 5463 y Fs(\000)23 b Fw(I)8 b FB(\))27 b(=)h(\()p Fs(\000)p FB(1\))2656 5422 y Fv(n)2719 5463 y FB(det)q(\()p Fw(U)10 b FB(\))p 3007 5376 461 4 v(det)q(\()p Fw(I)30 b Fs(\000)22 b Fw(U)10 b FB(\))1781 5712 y(14)p eop %%Page: 15 15 15 14 bop 120 407 a FB(Let)33 b(us)g(write)f(det)q(\()p Fw(I)e Fs(\000)22 b Fw(U)10 b FB(\))29 b(=)e Fw(a)22 b FB(+)g Fw(ib)34 b FB(and)e(\()p Fs(\000)p FB(1\))1931 371 y Fv(n)1995 407 y FB(det)q(\()p Fw(U)10 b FB(\))28 b(=)f Fw(c)p FB(,)33 b(w)m(e)h(ha)m(v)m(e:)1421 611 y(\()p Fw(a)22 b FB(+)g Fw(ib)p FB(\))28 b(=)g Fw(c)p FB(\()p Fw(a)22 b Fs(\000)h Fw(ib)p FB(\))120 816 y(If)33 b Fw(c)27 b Fs(6)p FB(=)h(1,)k(then:)1546 1059 y Fw(a)c FB(=)g Fs(\000)p Fw(i)1850 992 y FB(1)22 b(+)g Fw(c)p 1849 1036 213 4 v 1849 1128 a FB(1)h Fs(\000)f Fw(c)2072 1059 y(b)120 1298 y FB(and)35 b Fw(a)24 b FB(+)g Fw(ib)33 b FB(=)f(0)f Fs(,)h Fw(b)h FB(=)e(0.)51 b(If)35 b Fw(c)d FB(=)g(1,)k(then)g Fw(b)c FB(=)g(0)j(and)g Fw(a)24 b FB(+)g Fw(ib)33 b FB(=)e(0)h Fs(,)g Fw(a)g FB(=)g(0.)51 b(In)35 b(b)s(oth)120 1418 y(cases,)f(w)m(e)g(ha)m(v)m(e)g(got)e(an)g(equation)g(with)h(real)e(en) m(tries.)120 1749 y Fx(5)161 b(Computation)52 b(of)i(the)f(holonomies)g (up)g(to)g Fi(O)t Fg(\()p Fi(h)p Fg(\))120 1968 y FB(W)-8 b(e)41 b(should)g(\014rst)g(compute)f Fw(\032)1276 1983 y Fv(s)1354 1968 y FB(and)h(the)g(holonomies)e Fw(h)2297 1983 y Fv(\015)2382 1968 y FB(as)i(in)f Fs(x)p FB(4.)67 b(W)-8 b(e)41 b(ha)m(v)m(e)h(already)120 2088 y(seen)35 b(that)f Fw(\032)596 2103 y Fv(s)663 2088 y FB(=)29 b Fs(\000)p Fw(e)890 2052 y Ft(2)p Fv(\031)r(")1006 2088 y FB(.)47 b(W)-8 b(e)35 b(are)e(left)g(with)h(the)g(computation)e(of)i (holonomies,)e(whic)m(h)i(is)120 2208 y(the)f(main)e(statemen)m(t)i(of) f(this)g(pap)s(er:)120 2399 y Fy(Theorem)37 b(4)49 b Fp(Assuming)32 b(the)h(choic)-5 b(e)32 b(of)h(the)g(normal)f(form)g (given)g(by)h(the)g(e)-5 b(quation)33 b(\(18\))120 2519 y(and)h(the)h(c)-5 b(onventions)34 b(of)g(\014gur)-5 b(e)35 b(7,)g(the)f(holonomies)g Fw(h)2225 2534 y Fv(\015)2304 2519 y Fp(ar)-5 b(e)35 b(given)f(by:)1138 2741 y Fw(h)1194 2699 y FC(\000)p Ft(1)1194 2765 y Fv(\015)1316 2741 y FB(=)28 b Fw(e)1482 2672 y Fn(i)p 1475 2684 37 3 v 1475 2725 a(h)1521 2699 y Fv(A)1574 2707 y Fn(\015)1614 2699 y FC(\000)p Fv(iI)1724 2707 y Fn(\015)1763 2699 y Ft(+)p Fv(i)1852 2672 y Fn(\031)p 1852 2684 38 3 v 1856 2725 a Fr(2)1900 2699 y Fv(m)1962 2707 y Fn(\015)2006 2741 y FB(\(1)22 b(+)g Fw(O)s FB(\()p Fw(h)p FB(\)\))34 b Fw(:)845 b FB(\(24\))120 3071 y Fx(6)161 b(Justi\014cation)120 3290 y FB(Let)33 b Fw(')359 3305 y FC(\006)418 3290 y FB(\()p Fw(y)t FB(\))e(and)i Fw( )830 3305 y FC(\006)889 3290 y FB(\()p Fw(y)t FB(\))f(the)h(functions)f(de\014ned)i(b)m(y:)1192 3495 y Fw(')1256 3510 y FC(\006)1315 3495 y FB(\()p Fw(y)t FB(\))26 b(=)i Fw(Y)21 b FB(\()p Fs(\006)p Fw(y)t FB(\))p Fs(j)p Fw(y)t Fs(j)1964 3454 y FC(\000)p Ft(1)p Fv(=)p Ft(2)2127 3495 y Fw(e)2172 3454 y Fv(i")12 b Ft(ln)f FC(j)p Fv(y)r FC(j)2424 3495 y Fw(;)916 b FB(\(25\))120 3699 y(and)955 3932 y Fw( )1018 3947 y FC(\006)1077 3932 y FB(\()p Fw(y)t FB(\))27 b(=)1335 3796 y Fu(Z)1435 3823 y Fv(?)1491 3932 y Fw(Y)21 b FB(\()p Fs(\006)p Fw(\021)t FB(\))p Fs(j)p Fw(\021)t Fs(j)1882 3891 y FC(\000)p Ft(1)p Fv(=)p Ft(2)2046 3932 y Fw(e)2091 3891 y Fv(i)2125 3860 y Fn(y)r(\021)p 2125 3876 68 3 v 2141 3917 a(h)2207 3932 y Fw(e)2252 3891 y FC(\000)p Fv(i")11 b Ft(ln)h FC(j)p Fv(\021)r FC(j)2527 3932 y Fw(d\021)36 b(;)678 b FB(\(26\))120 4179 y(where)1305 4277 y Fu(Z)1405 4303 y Fv(?)1472 4412 y FB(=)28 b(\(2)p Fw(\031)t(h)p FB(\))1816 4371 y FC(\000)p Ft(1)p Fv(=)p Ft(2)1980 4412 y Fw(e)2025 4371 y FC(\000)p Fv(i\031)r(=)p Ft(4)2239 4277 y Fu(Z)3367 4412 y FB(\(27\))120 4660 y(and)37 b Fw(Y)58 b FB(is)36 b(the)h(Hea)m(viside's)h(function.) 55 b(Then)38 b(let)e Fw(f)48 b FB(b)s(e)37 b(a)f(microlo)s(cal)d (solution)i(in)h(some)120 4780 y(neigh)m(b)s(orho)s(o)s(d)31 b(of)h Fw(O)j FB(of)d(the)h(equation)1354 4985 y(\()27 b(^)-76 b Fw(y)t(\021)25 b Fs(\000)d Fw(h")p FB(\))p Fw(f)38 b FB(=)28 b Fw(O)s FB(\()p Fw(h)2118 4943 y FC(1)2192 4985 y FB(\))33 b Fw(;)1077 b FB(\(28\))120 5189 y Fw(f)43 b FB(is)32 b(microlo)s(cally)d(outside)j(of)g(0)h(a)f(linear)f(com)m (bination)f(of)i Fw(')2468 5204 y FC(\006)2560 5189 y FB(and)h Fw( )2813 5204 y FC(\006)2872 5189 y FB(;)g(w)m(e)g(write:) 1331 5408 y Fw(f)38 b Fs(\030)1522 5313 y Fu(X)1683 5408 y Fw(x)1738 5423 y FC(\006)1797 5408 y Fw(')1861 5423 y FC(\006)1942 5408 y FB(+)22 b Fw(y)2088 5423 y FC(\006)2147 5408 y Fw( )2210 5423 y FC(\006)2302 5408 y Fw(:)1038 b FB(\(29\))1781 5712 y(15)p eop %%Page: 16 16 16 15 bop 120 407 a FB(W)-8 b(e)33 b(ha)m(v)m(e)h(the)f(relation)e (\(see)i([7]\):)1311 544 y Fu(\022)1426 624 y Fw(y)1474 639 y Ft(+)1426 744 y Fw(y)1474 759 y FC(\000)1574 544 y Fu(\023)1675 685 y FB(=)28 b Fw(T)14 b FB(\()p Fw(")p FB(\))1989 544 y Fu(\022)2103 624 y Fw(x)2158 639 y Ft(+)2103 744 y Fw(x)2158 759 y FC(\000)2259 544 y Fu(\023)3367 685 y FB(\(30\))120 958 y(Using)32 b(the)h(notations)f(of)g(\014gure)h (7,)f(w)m(e)i(ha)m(v)m(e)g(then:)1297 1090 y Fu(\022)1412 1169 y Fw(x)1467 1184 y Ft(3)1412 1289 y Fw(x)1467 1304 y Ft(4)1549 1090 y Fu(\023)1650 1230 y FB(=)27 b Fw(T)14 b FB(\()p Fw(")p FB(\))1963 1090 y Fu(\022)2077 1169 y Fw(x)2132 1184 y Ft(1)2077 1289 y Fw(x)2132 1304 y Ft(2)2213 1090 y Fu(\023)2336 1230 y Fw(:)1004 b FB(\(31\))266 1502 y(Let)33 b(us)g(put:)1029 1774 y Fw(\037)1090 1733 y FC(0)1113 1774 y FB(\()p Fw(O)s FB(\))27 b(=)1397 1634 y Fu(\022)1512 1713 y Fw(a)84 b(b)1512 1834 y(c)93 b(d)1739 1634 y Fu(\023)1861 1774 y FB(a)m(v)m(ec)34 b Fw(a)28 b(>)g FB(0)p Fw(;)49 b(b)28 b(<)f FB(0)p Fw(:)736 b FB(\(32\))120 2047 y(where)34 b Fw(\037)e FB(is)h(the)g(canonical)e(map)g(of)i (theorem)f(2.)822 3042 y @beginspecial @setspecial %%BeginDocument: bases.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -22.0 114.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 3712 m -1000 -1000 l 7291 -1000 l 7291 3712 l cp clip 0.04200 0.04200 sc % Polyline 7.500 slw gs clippath 2313 1576 m 2433 1605 l 2313 1636 l 2475 1635 l 2475 1575 l cp clip n 555 1620 m 2460 1605 l gs col-1 s gr gr % arrowhead n 2313 1576 m 2433 1605 l 2313 1636 l col-1 s % Polyline gs clippath 1261 777 m 1290 656 l 1321 777 l 1320 615 l 1260 615 l cp clip n 1305 2370 m 1290 630 l gs col-1 s gr gr % arrowhead n 1261 777 m 1290 656 l 1321 777 l col-1 s % Polyline [15 45] 45 sd gs clippath 6048 1591 m 6168 1620 l 6048 1651 l 6210 1650 l 6210 1590 l cp clip n 3855 1635 m 6195 1620 l gs col-1 s gr gr [] 0 sd % arrowhead n 6048 1591 m 6168 1620 l 6048 1651 l col-1 s % Polyline [15 45] 45 sd gs clippath 4921 582 m 4950 461 l 4981 582 l 4980 420 l 4920 420 l cp clip n 4965 2310 m 4950 435 l gs col-1 s gr gr [] 0 sd % arrowhead n 4921 582 m 4950 461 l 4981 582 l col-1 s % Polyline n 4260 2280 m 5880 780 l gs col-1 s gr % Polyline n 5670 2550 m 4320 780 l gs col-1 s gr % Polyline 15.000 slw gs clippath 3246 1140 m 3486 1200 l 3246 1260 l 3570 1260 l 3570 1140 l cp clip n 2805 1200 m 3540 1200 l gs col-1 s gr gr % arrowhead n 3246 1140 m 3486 1200 l 3246 1260 l col-1 s % Polyline 7.500 slw n 4170 1995 m 4173 1994 l 4181 1992 l 4194 1988 l 4212 1982 l 4237 1974 l 4266 1965 l 4298 1955 l 4331 1944 l 4364 1933 l 4396 1923 l 4426 1912 l 4455 1903 l 4481 1893 l 4505 1884 l 4528 1876 l 4549 1868 l 4569 1859 l 4588 1851 l 4608 1843 l 4626 1834 l 4645 1825 l 4664 1815 l 4684 1805 l 4703 1795 l 4724 1784 l 4744 1773 l 4765 1761 l 4786 1749 l 4806 1736 l 4827 1723 l 4848 1711 l 4868 1698 l 4888 1685 l 4908 1672 l 4927 1660 l 4946 1647 l 4964 1635 l 4982 1622 l 5000 1610 l 5016 1599 l 5033 1587 l 5050 1575 l 5067 1563 l 5085 1551 l 5104 1538 l 5123 1524 l 5143 1511 l 5164 1497 l 5185 1483 l 5207 1468 l 5229 1454 l 5252 1439 l 5275 1425 l 5298 1411 l 5322 1397 l 5345 1383 l 5369 1370 l 5392 1356 l 5416 1343 l 5440 1330 l 5465 1318 l 5485 1307 l 5505 1297 l 5527 1287 l 5549 1276 l 5572 1266 l 5597 1254 l 5623 1243 l 5651 1230 l 5681 1217 l 5713 1204 l 5747 1189 l 5783 1174 l 5820 1158 l 5860 1142 l 5900 1125 l 5941 1108 l 5982 1092 l 6021 1076 l 6058 1060 l 6092 1047 l 6121 1035 l 6146 1025 l 6165 1017 l 6179 1012 l 6188 1008 l 6193 1006 l 6195 1005 l gs col-1 s gr % Polyline n 4560 630 m 4561 633 l 4562 640 l 4565 651 l 4568 669 l 4573 692 l 4579 720 l 4586 752 l 4594 786 l 4602 821 l 4610 856 l 4618 890 l 4626 923 l 4633 953 l 4641 982 l 4648 1008 l 4655 1033 l 4662 1056 l 4669 1078 l 4676 1099 l 4683 1120 l 4690 1140 l 4698 1162 l 4707 1184 l 4717 1206 l 4726 1228 l 4737 1251 l 4748 1274 l 4759 1297 l 4771 1320 l 4783 1344 l 4795 1367 l 4808 1389 l 4820 1412 l 4833 1433 l 4845 1454 l 4858 1474 l 4870 1493 l 4881 1512 l 4893 1529 l 4904 1546 l 4915 1563 l 4926 1579 l 4937 1594 l 4948 1610 l 4960 1626 l 4971 1643 l 4983 1659 l 4995 1676 l 5008 1693 l 5020 1711 l 5033 1728 l 5045 1746 l 5057 1764 l 5070 1783 l 5082 1801 l 5094 1819 l 5105 1837 l 5117 1856 l 5128 1874 l 5139 1893 l 5150 1913 l 5160 1931 l 5170 1949 l 5181 1969 l 5191 1990 l 5202 2011 l 5213 2033 l 5224 2056 l 5235 2079 l 5246 2103 l 5257 2128 l 5268 2152 l 5279 2177 l 5290 2201 l 5300 2225 l 5310 2248 l 5319 2271 l 5328 2293 l 5336 2314 l 5344 2334 l 5352 2354 l 5359 2372 l 5365 2390 l 5373 2414 l 5381 2436 l 5388 2458 l 5394 2481 l 5401 2504 l 5407 2528 l 5413 2553 l 5419 2579 l 5425 2606 l 5431 2632 l 5436 2655 l 5440 2674 l 5443 2688 l 5444 2696 l 5445 2699 l 5445 2700 l gs col-1 s gr $F2psEnd rs %%EndDocument @endspecial 1493 2723 a Fv(y)1016 2308 y(\021)1252 2713 y(e)1285 2689 y Fh(0)1285 2733 y Fr(1)1105 2466 y Fv(e)1138 2442 y Fh(0)1138 2487 y Fr(3)1110 2923 y Fv(e)1143 2899 y Fh(0)1143 2943 y Fr(4)848 2707 y Fv(e)881 2684 y Fh(0)881 2728 y Fr(2)2738 2744 y Fv(x)2344 2240 y(\030)2575 2518 y(e)2608 2527 y Fr(1)2113 2518 y Fv(e)2146 2527 y Fr(3)2155 2912 y Fv(e)2188 2921 y Fr(2)1661 2445 y Fv(\037)2533 3001 y(e)2566 3010 y Fr(4)1084 2734 y Fv(O)2407 2692 y(s)949 3246 y FB(Figure)f(9:)43 b(the)33 b(c)m(hoices)h(of)e(the)h Fw(e)2196 3261 y Fv(i)2224 3246 y FB('s)g(and)g(of)f Fw(\037)p FB(.)266 3590 y(W)-8 b(e)35 b(ma)m(y)f(assume)h(that)f Fw(s)1247 3605 y Fv(j)1314 3590 y FB(=)d Fw(O)s FB(.)48 b(Let)34 b Fw(S)6 b FB(\()p Fw(x;)17 b(y)t FB(\))30 b(=)g Fw(S)2239 3605 y Ft(0)2279 3590 y FB(\()p Fw(x;)17 b(y)t FB(\))22 b(+)h Fw(O)s FB(\(\()p Fs(j)p Fw(x)p Fs(j)g FB(+)g Fs(j)p Fw(y)t Fs(j)p FB(\))3160 3554 y Ft(3)3198 3590 y FB(\))34 b(b)s(e)h(the)120 3711 y(generating)d(function)g(of)g Fw(\037)h FB(de\014ned)h(b)m(y:)1380 3975 y Fw(\037)p FB(\()p Fw(y)t(;)17 b Fs(\000)1662 3907 y Fw(@)5 b(S)p 1662 3952 123 4 v 1669 4043 a(@)g(y)1794 3975 y FB(\))27 b(=)h(\()p Fw(x;)2110 3907 y(@)5 b(S)p 2110 3952 V 2115 4043 a(@)g(x)2242 3975 y FB(\))1087 b(\(33\))120 4245 y(and)33 b Fw(S)6 b FB(\()p Fw(O)s FB(\))26 b(=)i(0.)43 b(W)-8 b(e)33 b(get:)1136 4509 y Fw(S)1196 4524 y Ft(0)1236 4509 y FB(\()p Fw(x;)17 b(y)t FB(\))27 b(=)1624 4442 y(1)p 1603 4486 91 4 v 1603 4578 a(2)p Fw(b)1703 4509 y FB(\()p Fw(dx)1847 4468 y Ft(2)1909 4509 y Fs(\000)c FB(2)p Fw(xy)i FB(+)d Fw(ay)2387 4468 y Ft(2)2426 4509 y FB(\))32 b Fw(:)844 b FB(\(34\))266 4755 y(The)34 b(FIO)e Fw(U)43 b FB(is)32 b(then)i(giv)m(en)e(b)m(y:)1049 5022 y Fw(U)10 b(f)h FB(\()p Fw(x)p FB(\))29 b(=)1447 4887 y Fu(Z)1547 4913 y Fv(?)1603 5022 y Fw(e)1665 4954 y Fn(i)p 1658 4966 37 3 v 1658 5007 a(h)1704 4981 y Fv(S)t Ft(\()p Fv(x;y)r Ft(\))1906 5022 y Fw(C)1976 5037 y Fv(h)2021 5022 y FB(\()p Fw(x;)17 b(y)t FB(\))p Fw(f)11 b FB(\()p Fw(y)t FB(\))p Fw(dy)33 b(;)773 b FB(\(35\))120 5296 y(where)34 b Fw(C)472 5311 y Fv(h)516 5296 y FB(\()p Fw(x;)17 b(y)t FB(\))27 b Fs(\030)875 5221 y Fu(P)981 5248 y FC(1)981 5325 y Fv(j)t Ft(=0)1124 5296 y Fw(C)1194 5311 y Fv(j)1230 5296 y FB(\()p Fw(x;)17 b(y)t FB(\))p Fw(h)1513 5260 y Fv(j)1581 5296 y FB(and)33 b Fw(C)1841 5311 y Ft(0)1880 5296 y FB(\()p Fw(O)s FB(\))27 b(=)h(1.)1781 5712 y(16)p eop %%Page: 17 17 17 16 bop 266 407 a FB(Let)41 b(us)g(de\014ne)h(\010)942 422 y FC(\006)1042 407 y FB(=)f Fw(U)10 b(')1299 422 y FC(\006)1399 407 y FB(and)41 b(\011)1673 422 y FC(\006)1773 407 y FB(=)f Fw(U)10 b( )2028 422 y FC(\006)2089 407 y FB(.)67 b(W)-8 b(e)40 b(compute)h(the)g(WKB)f(form)f(of)120 527 y(these)34 b(functions)f(for)f Fw(x)995 542 y Ft(0)1062 527 y Fs(6)p FB(=)c(0,)33 b(but)g(close)f(to)h(0.)43 b(W)-8 b(e)33 b(apply)g(stationary)f(phase)h(metho)s(d)f(to)120 648 y(the)h(in)m(tegral:)878 915 y(\010)948 930 y FC(\006)1007 915 y FB(\()p Fw(x)1100 930 y Ft(0)1140 915 y FB(\))28 b(=)1309 779 y Fu(Z)1409 806 y Fv(?)1465 915 y Fw(e)1527 847 y Fn(i)p 1520 859 37 3 v 1520 900 a(h)1566 874 y Fv(S)t Ft(\()p Fv(x)1680 883 y Fr(0)1715 874 y Fv(;y)r Ft(\))1803 915 y Fw(C)1873 930 y Fv(h)1918 915 y FB(\()p Fw(x)2011 930 y Ft(0)2050 915 y Fw(;)17 b(y)t FB(\))p Fw(\036)2242 930 y FC(\006)2300 915 y FB(\()p Fw(y)t FB(\))p Fw(g)t FB(\()p Fw(y)t FB(\))p Fw(dy)33 b(;)601 b FB(\(36\))120 1184 y(where)34 b Fw(g)t FB(\()p Fw(y)t FB(\))26 b Fs(2)i Fw(C)778 1147 y FC(1)771 1208 y Ft(0)853 1184 y FB(\()p Fq(R)33 b Fs(n)22 b FB(0\))32 b(is)g(1)g(near)h Fw(y)1620 1199 y Ft(0)1691 1184 y FB(and)g(suc)m(h)h(that)e Fw(\037)p FB(\()p Fw(y)2459 1199 y Ft(0)2499 1184 y Fw(;)17 b FB(0\))27 b(=)g(\()p Fw(x)2853 1199 y Ft(0)2893 1184 y Fw(;)17 b(\030)2980 1199 y Ft(0)3019 1184 y FB(\).)43 b(W)-8 b(e)33 b(get:)549 1453 y(\010)619 1468 y FC(\006)678 1453 y FB(\()p Fw(x)771 1468 y Ft(0)811 1453 y FB(\))28 b(=)f Fw(Y)21 b FB(\()p Fs(\006)p Fw(x)1228 1468 y Ft(0)1269 1453 y FB(\))p Fw(e)1369 1385 y Fn(i)p 1362 1397 V 1362 1438 a(h)1408 1412 y Fv(S)1451 1421 y Fr(1)1485 1412 y Ft(\()p Fv(x)1552 1421 y Fr(0)1587 1412 y Ft(\))1619 1453 y Fw(e)1664 1412 y Fv(i")11 b Ft(ln)h FC(j)1833 1376 y Fn(x)1868 1391 y Fr(0)p 1833 1397 70 3 v 1850 1438 a Fn(a)1912 1412 y FC(j)1936 1453 y Fw(e)1981 1412 y FC(\000)p Fv(i)2070 1385 y Fn(\031)p 2070 1397 38 3 v 2074 1438 a Fr(2)2122 1453 y Fs(j)2186 1386 y Fw(b)p 2160 1430 95 4 v 2160 1521 a(x)2215 1536 y Ft(0)2264 1453 y Fs(j)2302 1385 y Fr(1)p 2302 1397 31 3 v 2302 1438 a(2)2346 1453 y FB(\()p Fw(A)2457 1468 y Ft(0)2497 1453 y FB(\()p Fw(x)2590 1468 y Ft(0)2630 1453 y FB(\))22 b(+)g Fw(O)s FB(\()p Fw(h)p FB(\)\))32 b Fw(;)272 b FB(\(37\))120 1719 y(where)31 b Fw(A)472 1734 y Ft(0)512 1719 y FB(\()p Fw(x)p FB(\))d(=)f(1)17 b(+)h Fw(O)s FB(\()p Fw(x)p FB(\))29 b(and)i Fw(S)1420 1734 y Ft(1)1459 1719 y FB(\()p Fw(x)p FB(\))f(is)g(the)h(generating)e(function)h(of)g(the)g(arc)g Fw(\037)p FB(\()p Fq(R)f Fs(\002)17 b FB(0\))120 1839 y(whic)m(h)33 b(v)-5 b(anishes)33 b(at)f Fw(x)d FB(=)e(0.)43 b(In)33 b(the)g(same)g(w)m(a)m(y)518 2103 y(\011)594 2118 y FC(\006)653 2103 y FB(\()p Fw(x)746 2118 y Ft(0)786 2103 y FB(\))27 b(=)h Fw(Y)21 b FB(\()p Fs(\007)p Fw(x)1203 2118 y Ft(0)1244 2103 y FB(\))p Fw(e)1344 2035 y Fn(i)p 1337 2047 37 3 v 1337 2088 a(h)1383 2062 y Fv(S)1426 2071 y Fr(2)1460 2062 y Ft(\()p Fv(x)1527 2071 y Fr(0)1562 2062 y Ft(\))1594 2103 y Fw(e)1639 2062 y FC(\000)p Fv(i")11 b Ft(ln)h FC(j)1863 2026 y Fn(x)1898 2041 y Fr(0)p 1862 2047 70 3 v 1883 2088 a Fn(b)1942 2062 y FC(j)1965 2103 y Fw(e)2010 2062 y FC(\000)p Fv(i)2099 2035 y Fn(\031)p 2099 2047 38 3 v 2103 2088 a Fr(2)2151 2103 y Fs(j)2216 2036 y Fw(b)p 2189 2080 95 4 v 2189 2171 a(x)2244 2186 y Ft(0)2294 2103 y Fs(j)2332 2035 y Fr(1)p 2332 2047 31 3 v 2332 2088 a(2)2376 2103 y FB(\()p Fw(B)2488 2118 y Ft(0)2528 2103 y FB(\()p Fw(x)2621 2118 y Ft(0)2660 2103 y FB(\))22 b(+)g Fw(O)s FB(\()p Fw(h)p FB(\)\))32 b Fw(;)242 b FB(\(38\))120 2369 y(where)39 b Fw(B)481 2384 y Ft(0)520 2369 y FB(\()p Fw(x)p FB(\))e(=)f(1)25 b(+)g Fw(O)s FB(\()p Fw(x)p FB(\))37 b(and)h Fw(S)1476 2384 y Ft(2)1553 2369 y FB(is)f(the)h(generating)e(function)h(of)g(the) h(arc)g Fw(\037)p FB(\(0)25 b Fs(\002)h Fq(R)5 b FB(\))120 2489 y(whic)m(h)33 b(v)-5 b(anishes)33 b(at)f Fw(x)d FB(=)e(0.)996 3864 y @beginspecial @setspecial %%BeginDocument: gamma.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -14.0 189.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-iso isovec ReEncode /DrawEllipse { /endangle exch def /startangle exch def /yrad exch def /xrad exch def /y exch def /x exch def /savematrix mtrx currentmatrix def x y tr xrad yrad sc 0 0 1 startangle endangle arc closepath savematrix setmatrix } def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 4147 m -1000 -1000 l 4908 -1000 l 4908 4147 l cp clip 0.06000 0.06000 sc 7.500 slw % Ellipse n 1320 2340 75 75 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col-1 s gr % Ellipse n 2820 2790 75 75 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col-1 s gr % Ellipse n 1312 1785 67 67 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col-1 s gr % Ellipse n 2257 1215 67 67 0 360 DrawEllipse gs col7 0.00 shd ef gr gs col-1 s gr % Polyline [60] 0 sd gs clippath 943 882 m 974 761 l 1003 882 l 1005 720 l 945 720 l cp clip n 945 3135 m 975 735 l gs col7 0.00 shd ef gr gs col-1 s gr gr [] 0 sd % arrowhead n 943 882 m 974 761 l 1003 882 l col-1 s % Polyline [60] 0 sd n 1320 1777 m 1335 2347 l gs col7 0.00 shd ef gr gs col-1 s gr [] 0 sd % Polyline [60] 0 sd n 2250 1230 m 2250 2107 l gs col7 0.00 shd ef gr gs col-1 s gr [] 0 sd % Polyline [60] 0 sd n 2813 2130 m 2820 2775 l gs col7 0.00 shd ef gr gs col-1 s gr [] 0 sd % Polyline [15 45] 45 sd gs clippath 2706 2567 m 2823 2607 l 2701 2627 l 2862 2641 l 2868 2581 l cp clip n 2490 1245 m 2487 1246 l 2481 1248 l 2471 1252 l 2455 1259 l 2433 1267 l 2407 1278 l 2375 1290 l 2341 1304 l 2305 1319 l 2268 1334 l 2231 1349 l 2195 1364 l 2160 1379 l 2128 1393 l 2097 1406 l 2068 1419 l 2041 1432 l 2016 1444 l 1991 1456 l 1968 1468 l 1946 1480 l 1924 1493 l 1903 1505 l 1881 1518 l 1860 1531 l 1838 1545 l 1816 1559 l 1794 1573 l 1772 1589 l 1750 1604 l 1728 1621 l 1706 1637 l 1684 1654 l 1662 1672 l 1641 1689 l 1620 1706 l 1600 1724 l 1581 1741 l 1562 1758 l 1545 1775 l 1528 1791 l 1513 1807 l 1498 1822 l 1485 1837 l 1472 1852 l 1461 1866 l 1450 1880 l 1439 1895 l 1429 1910 l 1420 1924 l 1412 1939 l 1405 1954 l 1399 1969 l 1394 1984 l 1390 2000 l 1387 2015 l 1385 2030 l 1385 2046 l 1385 2061 l 1388 2076 l 1391 2091 l 1396 2106 l 1401 2120 l 1408 2135 l 1417 2149 l 1426 2162 l 1436 2176 l 1447 2189 l 1460 2203 l 1473 2215 l 1486 2227 l 1501 2240 l 1517 2253 l 1535 2267 l 1554 2280 l 1574 2294 l 1595 2308 l 1618 2322 l 1642 2337 l 1667 2351 l 1693 2365 l 1719 2379 l 1747 2392 l 1774 2405 l 1803 2418 l 1831 2430 l 1859 2442 l 1888 2453 l 1916 2464 l 1945 2474 l 1973 2483 l 2001 2492 l 2030 2500 l 2055 2507 l 2080 2513 l 2105 2519 l 2132 2525 l 2159 2530 l 2188 2536 l 2218 2541 l 2250 2546 l 2284 2551 l 2320 2556 l 2358 2561 l 2398 2566 l 2440 2570 l 2483 2575 l 2528 2580 l 2573 2585 l 2617 2589 l 2660 2593 l 2701 2597 l 2738 2600 l 2770 2603 l 2796 2605 l 2817 2607 l 2850 2610 l gs col-1 s gr gr [] 0 sd % arrowhead n 2706 2567 m 2823 2607 l 2701 2627 l col-1 s % Polyline gs clippath 3207 2747 m 3327 2777 l 3207 2807 l 3369 2807 l 3369 2747 l cp clip n 954 2102 m 956 2103 l 961 2107 l 970 2113 l 983 2122 l 1002 2134 l 1025 2150 l 1054 2170 l 1086 2191 l 1122 2216 l 1161 2241 l 1201 2267 l 1241 2294 l 1281 2320 l 1320 2345 l 1358 2370 l 1394 2393 l 1429 2414 l 1462 2434 l 1493 2453 l 1523 2471 l 1551 2487 l 1578 2502 l 1604 2516 l 1630 2529 l 1655 2541 l 1679 2553 l 1704 2565 l 1729 2575 l 1753 2586 l 1778 2596 l 1804 2606 l 1829 2615 l 1856 2625 l 1883 2634 l 1910 2643 l 1938 2651 l 1966 2660 l 1995 2668 l 2024 2675 l 2053 2683 l 2082 2690 l 2112 2697 l 2142 2703 l 2171 2709 l 2201 2714 l 2230 2720 l 2259 2725 l 2287 2729 l 2315 2733 l 2343 2737 l 2371 2741 l 2398 2744 l 2425 2747 l 2452 2749 l 2479 2752 l 2506 2754 l 2534 2757 l 2562 2759 l 2590 2760 l 2620 2762 l 2651 2764 l 2684 2765 l 2718 2767 l 2754 2768 l 2792 2769 l 2833 2770 l 2875 2771 l 2920 2772 l 2966 2773 l 3013 2773 l 3061 2774 l 3108 2775 l 3154 2775 l 3196 2776 l 3235 2776 l 3269 2776 l 3297 2777 l 3319 2777 l 3354 2777 l gs col-1 s gr gr % arrowhead n 3207 2747 m 3327 2777 l 3207 2807 l col-1 s % Polyline gs clippath 1079 2042 m 971 2103 l 1038 1999 l 920 2111 l 962 2154 l cp clip n 2452 1147 m 2450 1148 l 2444 1150 l 2435 1154 l 2420 1159 l 2400 1167 l 2374 1177 l 2343 1189 l 2308 1203 l 2268 1219 l 2227 1235 l 2184 1253 l 2140 1271 l 2097 1289 l 2055 1306 l 2014 1324 l 1975 1341 l 1938 1357 l 1903 1373 l 1870 1389 l 1838 1404 l 1809 1419 l 1780 1434 l 1753 1448 l 1727 1463 l 1702 1478 l 1677 1494 l 1652 1510 l 1629 1525 l 1606 1540 l 1583 1556 l 1560 1573 l 1537 1591 l 1513 1610 l 1488 1629 l 1463 1650 l 1436 1673 l 1408 1697 l 1379 1722 l 1349 1749 l 1317 1778 l 1284 1808 l 1250 1839 l 1216 1870 l 1182 1903 l 1148 1935 l 1115 1966 l 1083 1996 l 1054 2024 l 1028 2048 l 1006 2070 l 988 2087 l 974 2101 l 952 2122 l gs col-1 s gr gr % arrowhead n 1079 2042 m 971 2103 l 1038 1999 l col-1 s % Polyline gs clippath 1078 2038 m 970 2099 l 1037 1995 l 919 2107 l 961 2150 l cp clip n 2451 1143 m 2449 1144 l 2443 1146 l 2434 1150 l 2419 1155 l 2399 1163 l 2373 1173 l 2342 1185 l 2307 1199 l 2267 1215 l 2226 1231 l 2183 1249 l 2139 1267 l 2096 1285 l 2054 1302 l 2013 1320 l 1974 1337 l 1937 1353 l 1902 1369 l 1869 1385 l 1837 1400 l 1808 1415 l 1779 1430 l 1752 1444 l 1726 1459 l 1701 1474 l 1676 1490 l 1651 1506 l 1628 1521 l 1605 1536 l 1582 1552 l 1559 1569 l 1536 1587 l 1512 1606 l 1487 1625 l 1462 1646 l 1435 1669 l 1407 1693 l 1378 1718 l 1348 1745 l 1316 1774 l 1283 1804 l 1249 1835 l 1215 1866 l 1181 1899 l 1147 1931 l 1114 1962 l 1082 1992 l 1053 2020 l 1027 2044 l 1005 2066 l 987 2083 l 973 2097 l 951 2118 l gs col-1 s gr gr % arrowhead n 1078 2038 m 970 2099 l 1037 1995 l col-1 s % Polyline [60] 0 sd gs clippath 3349 2126 m 3468 2159 l 3347 2186 l 3509 2190 l 3511 2130 l cp clip n 570 2085 m 3495 2160 l gs col7 0.00 shd ef gr gs col-1 s gr gr [] 0 sd % arrowhead n 3349 2126 m 3468 2159 l 3347 2186 l col-1 s % Polyline [60] 0 sd n 975 2108 m 973 2110 l 969 2115 l 961 2124 l 950 2137 l 936 2154 l 919 2174 l 900 2195 l 880 2218 l 860 2241 l 840 2263 l 821 2284 l 803 2303 l 785 2322 l 769 2338 l 753 2354 l 737 2369 l 721 2383 l 705 2397 l 688 2410 l 673 2422 l 657 2434 l 640 2447 l 622 2459 l 603 2473 l 582 2487 l 559 2502 l 535 2517 l 508 2534 l 480 2552 l 450 2570 l 418 2589 l 387 2608 l 356 2627 l 328 2644 l 303 2659 l 282 2671 l 266 2681 l 256 2687 l 250 2690 l 247 2692 l gs col-1 s gr [] 0 sd % Polyline [60] 0 sd n 982 2115 m 979 2112 l 974 2106 l 964 2096 l 950 2082 l 932 2064 l 912 2043 l 890 2022 l 868 2000 l 846 1979 l 826 1959 l 806 1941 l 788 1925 l 772 1910 l 755 1896 l 740 1884 l 724 1872 l 708 1860 l 692 1849 l 676 1837 l 658 1826 l 639 1815 l 619 1802 l 597 1790 l 572 1776 l 545 1761 l 517 1746 l 487 1730 l 457 1715 l 429 1700 l 405 1688 l 385 1678 l 372 1671 l 364 1667 l 360 1665 l gs col-1 s gr [] 0 sd $F2psEnd rs %%EndDocument @endspecial 1238 3386 a Fw(s)1876 2823 y(A)2213 3836 y(B)2573 3318 y(x)1253 2688 y(\030)1456 3142 y(z)1501 3157 y Ft(1)1493 3577 y Fw(z)1538 3592 y Ft(2)2183 2909 y FB(\010)2253 2924 y Ft(+)2494 3626 y FB(\011)2570 3641 y FC(\000)1928 3307 y Fw(x)1983 3322 y Fv(A)2251 3318 y Fw(x)2306 3333 y Fv(B)1527 3318 y Fw(x)1582 3333 y Ft(0)953 4068 y FB(Figure)k(10:)43 b(computation)31 b(of)h(the)h (holonom)m(y)-8 b(.)266 4432 y(Let)32 b(us)h(ev)-5 b(aluate)32 b(\010)1017 4447 y Ft(+)1076 4432 y FB(\()p Fw(x)1169 4447 y Fv(A)1226 4432 y FB(\))g(and)g(\011)1561 4447 y FC(\000)1620 4432 y FB(\()p Fw(x)1713 4447 y Fv(B)1774 4432 y FB(\))g(starting)f(from)g(their)g(v)-5 b(alues)32 b(at)g Fw(x)3133 4447 y Ft(0)3205 4432 y FB(in)f(order)120 4552 y(to)h(calculate)g(their)g(phase)h(shift,)f(using)h(the)g(usual)f (WKB)h(form)m(ulae.)266 4672 y(Putting)f Fw(z)670 4687 y Fv(j)735 4672 y FB(=)27 b(\()p Fw(x)931 4687 y Ft(0)971 4672 y Fw(;)17 b(S)1081 4636 y FC(0)1075 4697 y Fv(j)1111 4672 y FB(\()p Fw(x)1204 4687 y Ft(0)1244 4672 y FB(\)\),)33 b(w)m(e)g(get:)518 4935 y(\010)588 4950 y Ft(+)648 4935 y FB(\()p Fw(x)741 4950 y Fv(A)798 4935 y FB(\))28 b(=)f Fs(\000)p Fw(iC)1147 4950 y Ft(+)1207 4935 y FB(\()p Fw(x)1300 4950 y Fv(A)1357 4935 y FB(\))p Fw(e)1457 4858 y Fn(i)p 1450 4870 37 3 v 1450 4911 a(h)1508 4831 y Ff(R)1555 4852 y Fn(A)1541 4909 y(z)1571 4924 y Fr(1)1622 4885 y Fv(\030)s(dx)p Ft(+)p Fv(i")11 b Ft(ln)1935 4849 y Fn(x)1970 4864 y Fr(0)p 1935 4870 70 3 v 1953 4911 a Fn(a)2014 4885 y FC(\000)p Fv(i)2105 4831 y Ff(R)2152 4852 y Fn(A)2138 4909 y(z)2168 4924 y Fr(1)2219 4885 y Fv(H)2277 4894 y Fr(1)2311 4885 y Fv(dt)2377 4935 y FB(\()p Fw(A)2488 4950 y Ft(0)2528 4935 y FB(\()p Fw(x)2621 4950 y Ft(0)2660 4935 y FB(\))22 b(+)g Fw(O)s FB(\()p Fw(h)p FB(\)\))32 b Fw(;)242 b FB(\(39\))120 5155 y(where)34 b(the)f(in)m(tegrals)e(are)i(computed)g(on)f Fw(Z)40 b FB(and)32 b Fw(C)2077 5170 y Ft(+)2136 5155 y FB(\()p Fw(x)2229 5170 y Fv(A)2286 5155 y FB(\))c Fw(>)g FB(0;)k(in)g(the)h (same)f(w)m(a)m(y:)512 5407 y(\011)588 5422 y FC(\000)647 5407 y FB(\()p Fw(x)740 5422 y Fv(B)801 5407 y FB(\))c(=)f Fs(\000)p Fw(iC)1150 5422 y FC(\000)1210 5407 y FB(\()p Fw(x)1303 5422 y Fv(B)1364 5407 y FB(\))p Fw(e)1464 5328 y Fn(i)p 1457 5340 37 3 v 1457 5381 a(h)1515 5301 y Ff(R)1562 5322 y Fn(B)1548 5379 y(z)1578 5394 y Fr(2)1628 5355 y Fv(\030)s(dx)p FC(\000)p Fv(i")11 b Ft(ln)1942 5319 y Fn(x)1977 5334 y Fr(0)p 1942 5340 70 3 v 1944 5381 a Fh(j)p Fn(b)p Fh(j)2021 5355 y FC(\000)p Fv(i)2112 5301 y Ff(R)2159 5322 y Fn(B)2145 5379 y(z)2175 5397 y(b)2223 5355 y Fv(H)2281 5364 y Fr(1)2316 5355 y Fv(dt)2382 5407 y FB(\()p Fw(B)2494 5422 y Ft(0)2533 5407 y FB(\()p Fw(x)2626 5422 y Ft(0)2666 5407 y FB(\))22 b(+)g Fw(O)s FB(\()p Fw(h)p FB(\)\))32 b Fw(;)236 b FB(\(40\))1781 5712 y(17)p eop %%Page: 18 18 18 17 bop 120 407 a FB(where)34 b Fw(C)472 422 y FC(\000)531 407 y FB(\()p Fw(x)624 422 y Fv(B)685 407 y FB(\))27 b Fw(>)h FB(0.)266 527 y(Using)45 b(the)h(preceding)f(computations,)j (w)m(e)e(can)f(\014nd)h(the)f(phase)i(shift)d(\011)3164 542 y FC(\000)3223 527 y FB(\()p Fw(x)3316 542 y Fv(B)3377 527 y FB(\))49 b(=)120 648 y Fw(e)165 611 y Fv(i)p Ft(\012)244 648 y FB(\010)314 663 y Ft(+)374 648 y FB(\()p Fw(x)467 663 y Fv(A)524 648 y FB(\).)d(Going)32 b(to)h(the)h(limit)c(where)35 b Fw(a;)17 b(b)30 b Fs(!)e Fw(s)2070 663 y Fv(j)2140 648 y FB(and)34 b(using)f Fw(!)t FB(\()51 b Fw(~)-100 b(s)2736 663 y Fv(j)2772 648 y Fw(z)2817 663 y Ft(1)2857 648 y Fw(;)68 b(~)-100 b(s)2947 663 y Fv(j)2983 648 y Fw(z)3028 663 y Ft(2)3067 648 y FB(\))30 b Fs(\030)3268 608 y Fv(x)3308 585 y Fr(2)p 3251 625 107 4 v 3251 682 a Fv(a)p FC(j)p Fv(b)p FC(j)3368 648 y FB(,)k(w)m(e)120 768 y(get:)985 1050 y(\012)28 b(=)1208 983 y Fw(i)p 1196 1027 57 4 v 1196 1118 a(h)1279 914 y Fu(Z)1379 941 y Fv(B)1334 1140 y(A)1456 1050 y Fw(\030)5 b(dx)22 b Fs(\000)g Fw(i)p FB(vp)1887 914 y Fu(Z)1986 941 y Fv(B)1942 1140 y(A)2064 1050 y Fw(H)2145 1065 y Ft(1)2184 1050 y Fw(dt)g FB(+)g Fw(O)s FB(\()p Fw(h)p FB(\))32 b Fw(;)708 b FB(\(41\))266 1323 y(In)46 b(order)f(to)g(c)m(hec)m(k)i(the)e(v)-5 b(alidit)m(y)43 b(of)i(the)g(form)m(ula)f(\(24\),)j(let)d(us)i(assume)g (that)f(the)120 1443 y(microlo)s(cal)31 b(solutions)j(\010)1071 1458 y Ft(+)1165 1443 y FB(and)h(\011)1433 1458 y FC(\000)1527 1443 y FB(corresp)s(onds)h(to)f(the)g(same)g(edge)g Fw(e)d Fs(2)g Fw(E)6 b FB(\()p Fw(Z)30 b Fs(n)24 b Fw(T)14 b FB(\).)50 b(If)120 1563 y Fw(A)33 b FB(and)f Fw(B)38 b FB(ha)m(v)m(e)c(the)f(same)f(limit)d(p)s(oin)m(t,)j(w)m(e)i(should)e (ha)m(v)m(e:)1211 1783 y Fw(x)1266 1798 y Ft(+)1325 1783 y FB(\010)1395 1798 y Ft(+)1455 1783 y FB(\()p Fw(x)1548 1798 y Fv(A)1605 1783 y FB(\))c(=)f Fw(x)1829 1798 y FC(\000)1889 1783 y FB(\011)1965 1798 y FC(\000)2024 1783 y FB(\()p Fw(x)2117 1798 y Fv(B)2178 1783 y FB(\))p Fw(e)2261 1742 y Fv(i)2295 1715 y Fn(\031)p 2295 1727 38 3 v 2299 1768 a Fr(2)2343 1742 y Fv(m)2405 1750 y Fn(\015)120 2003 y FB(whic)m(h)33 b(giv)m(es)1468 2223 y Fw(x)1523 2238 y Ft(+)1610 2223 y FB(=)28 b Fw(x)1769 2238 y FC(\000)1828 2223 y Fw(e)1873 2182 y Fv(i)p Ft(\012+)p Fv(i)2037 2155 y Fn(\031)p 2037 2167 V 2041 2208 a Fr(2)2085 2182 y Fv(m)2147 2190 y Fn(\015)120 2443 y FB(So)k(that:)1507 2663 y Fw(h)1563 2622 y FC(\000)p Ft(1)1563 2688 y Fv(\015)1686 2663 y FB(=)27 b Fw(e)1834 2622 y Fv(i)p Ft(\012+)p Fv(i)1998 2595 y Fn(\031)p 1998 2607 V 2002 2648 a Fr(2)2046 2622 y Fv(m)2108 2630 y Fn(\015)120 2996 y Fx(7)161 b(Summary)53 b(of)h(quan)l(tization)g(conditions)120 3215 y FB(Summarizing,)27 b(w)m(e)j(start)f(with)f(a)h(semi-classical)d(Hamiltonian)f(whose)30 b(principal)d(sym)m(b)s(ol)120 3336 y Fw(H)201 3351 y Ft(0)270 3336 y FB(is)i(real)f(and)i(whose)g(sub-principal)e(sym)m(b)s (ol)g(is)h(denoted)i(b)m(y)f Fw(H)2609 3351 y Ft(1)2648 3336 y FB(.)43 b(W)-8 b(e)29 b(\014rst)h(lo)s(ok)e(at)i(the)120 3456 y(c)m(haracteristic)j(manifold)e Fw(Z)k FB(=)29 b Fw(H)1421 3415 y FC(\000)p Ft(1)1413 3480 y(0)1515 3456 y FB(\(0\),)k(and)g(calculate)g(the)g(in)m(v)-5 b(arian)m(ts)33 b Fw(")f FB(of)h(the)h(saddle)120 3576 y(p)s(oin)m(ts.)58 b(They)39 b(are)e(formal)e(series)j(in)f Fw(h)h FB(whose)g(\014rst)g(term)f Fw(")2462 3591 y Ft(0)2539 3576 y FB(is)g(giv)m(en)h(b)m(y)g(the)g(form)m(ula)120 3697 y(\(14\).)69 b(W)-8 b(e)42 b(then)g(c)m(ho)s(ose)g(some)g(maximal) c(tree)k Fw(T)55 b FB(of)41 b Fw(Z)48 b FB(and)42 b(some)f(orien)m (tation)f(of)h(the)120 3817 y(cut)e(edges.)64 b(It)39 b(is)g(then)g(p)s(ossible)f(to)h(calculate)f(the)h(holonomies)e(of)i (the)g(corresp)s(onding)120 3937 y(cycles)d(using)e(form)m(ula)f (\(24\).)49 b(W)-8 b(e)36 b(then)f(describ)s(e)g(an)m(y)h(microlo)s (cal)31 b(solution)i(in)h(terms)g(of)120 4058 y(the)f(trivialisation)28 b(of)k Fs(F)1043 4073 y Ft(1)1115 4058 y FB(in)g(the)h(follo)m(wing)d (w)m(a)m(y:)1564 4290 y Fw(u)d FB(=)1751 4195 y Fu(X)1806 4404 y Fv(e)1911 4290 y Fw(x)1966 4305 y Fv(e)2004 4290 y Fw(u)2060 4305 y Fv(e)120 4591 y FB(where)j(the)g(sum)f(is)g(on)g (the)h(edges)g(of)f Fw(T)14 b FB(.)42 b(The)30 b(conditions)f(on)g(the) g Fw(x)2675 4606 y Fv(e)2713 4591 y FB('s)h(are)f(then)h(giv)m(en)f(b)m (y)120 4712 y(the)k(matrices)e Fw(T)735 4727 y Fv(")804 4712 y FB(asso)s(ciated)h(to)g(eac)m(h)i(saddle)e(p)s(oin)m(t)f(and)i (the)f(holonomies)f Fw(x)3076 4727 y Fv(e)3109 4736 y Fh(\000)3193 4712 y FB(=)c Fw(h)3352 4727 y Fv(\015)3397 4712 y Fw(x)3452 4727 y Fv(e)3485 4736 y Fr(+)120 4832 y FB(if)41 b(the)h(cycle)g Fw(\015)47 b FB(corresp)s(onds)c(to)f(the)g (cut)g(edge)h Fw(e)g FB(=)h Fw(e)2256 4847 y Ft(+)2343 4832 y Fs([)29 b Fw(e)2483 4847 y FC(\000)2584 4832 y FB(follo)m(wing)39 b Fw(e)3050 4847 y FC(\000)3151 4832 y FB(and)j(then)120 4953 y Fw(e)165 4968 y Ft(+)224 4953 y FB(.)49 b(The)35 b(relativ)m(e)e(error)i(on)f(these)h(conditions)f (is)f(of)h(order)g Fw(O)s FB(\()p Fw(h)2588 4916 y FC(1)2663 4953 y FB(\);)h(it)e(is)h(of)f(order)i Fw(O)s FB(\()p Fw(h)p FB(\))120 5073 y(when)d(w)m(e)g(appro)m(ximate)e(the)i (holonomies)d(using)i(equation)g(\(24\);)g(in)f(that)h(case,)h(it)e(is) h(also)120 5193 y(p)s(ossible)h(to)g(replace)h Fw(")f FB(b)m(y)h Fw(")1196 5208 y Ft(0)1268 5193 y FB(without)f(c)m(hanging)g (the)h(relativ)m(e)f(error.)1781 5712 y(18)p eop %%Page: 19 19 19 18 bop 120 407 a Fx(8)161 b(The)53 b(double)g(w)l(ell)i(p)t(oten)l (tial.)120 655 y Fo(8.1)135 b(Generic)45 b(study)g(of)g(the)g(double)g (w)l(ell)i(p)t(oten)l(tial.)120 840 y FB(In)37 b(this)f(section,)i(w)m (e)g(will)d(apply)h(the)h(previous)g(theory)h(to)e(the)h(situation)e (of)i([7)o(])g(and)g([8])120 960 y(where)e Fw(X)i FB(=)30 b Fw(T)698 924 y Fv(?)737 960 y Fq(R)45 b FB(and)33 b Fw(V)51 b FB(:)64 b Fq(R)40 b Fs(!)29 b Fq(R)45 b FB(is)33 b(a)h(function)f(with)g(a)h(double)f(w)m(ell.)46 b(Without)33 b(loss)120 1080 y(of)f(generalit)m(y)-8 b(,)32 b(w)m(e)h(ma)m(y)g(supp) s(ose)h(that:)1006 1255 y Fw(V)21 b FB(\(0\))28 b(=)f(0)p Fw(;)49 b(V)1544 1214 y FC(0)1567 1255 y FB(\(0\))27 b(=)h(0)p Fw(;)49 b Fs(V)36 b FB(=)27 b Fw(V)2227 1214 y FC(0)t(0)2274 1255 y FB(\(0\))g Fw(<<)g FB(0)120 1429 y(e.g.)44 b Fw(V)21 b FB(\()p Fw(x)p FB(\))28 b(=)g Fw(x)706 1393 y Ft(2)746 1429 y FB(\(\()p Fw(x)22 b Fs(\000)h Fw(b)p FB(\))1078 1393 y Ft(2)1140 1429 y Fs(\000)f Fw(a)1290 1393 y Ft(2)1330 1429 y FB(\))32 b(with)h Fw(a)27 b(>)h(b)g(>)g FB(0.)781 2721 y @beginspecial @setspecial %%BeginDocument: Vdouble.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -8.0 163.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 6412 m -1000 -1000 l 9826 -1000 l 9826 6412 l cp clip 0.03000 0.03000 sc % Polyline 7.500 slw gs clippath 8328 3570 m 8448 3600 l 8328 3630 l 8490 3630 l 8490 3570 l cp clip n 675 3600 m 8475 3600 l gs col0 s gr gr % arrowhead n 8328 3570 m 8448 3600 l 8328 3630 l col0 s % Polyline gs clippath 3570 1047 m 3600 927 l 3630 1047 l 3630 885 l 3570 885 l cp clip n 3600 5400 m 3600 900 l gs col0 s gr gr % arrowhead n 3570 1047 m 3600 927 l 3630 1047 l col0 s % Polyline n 300 1425 m 301 1426 l 303 1427 l 307 1430 l 314 1435 l 323 1441 l 335 1450 l 350 1461 l 368 1475 l 390 1491 l 414 1509 l 441 1529 l 470 1552 l 501 1576 l 534 1602 l 568 1629 l 602 1657 l 636 1686 l 671 1716 l 705 1746 l 738 1777 l 771 1809 l 803 1840 l 833 1873 l 863 1906 l 892 1940 l 920 1975 l 946 2011 l 973 2049 l 999 2089 l 1024 2131 l 1050 2175 l 1067 2206 l 1085 2238 l 1102 2272 l 1120 2307 l 1138 2344 l 1156 2382 l 1174 2421 l 1193 2462 l 1212 2504 l 1231 2548 l 1250 2593 l 1269 2639 l 1288 2686 l 1308 2734 l 1328 2784 l 1348 2834 l 1368 2885 l 1388 2937 l 1408 2990 l 1429 3043 l 1449 3096 l 1470 3150 l 1490 3205 l 1511 3259 l 1531 3313 l 1551 3368 l 1572 3422 l 1592 3475 l 1612 3528 l 1632 3581 l 1652 3633 l 1672 3685 l 1691 3735 l 1710 3785 l 1729 3833 l 1748 3881 l 1767 3927 l 1785 3972 l 1803 4016 l 1821 4058 l 1838 4100 l 1855 4139 l 1872 4178 l 1888 4215 l 1904 4251 l 1920 4285 l 1935 4318 l 1950 4350 l 1973 4399 l 1996 4444 l 2018 4488 l 2039 4529 l 2059 4567 l 2079 4604 l 2098 4640 l 2117 4673 l 2135 4706 l 2153 4737 l 2170 4767 l 2187 4796 l 2204 4824 l 2221 4852 l 2237 4879 l 2253 4905 l 2270 4930 l 2286 4955 l 2302 4979 l 2318 5002 l 2334 5024 l 2350 5046 l 2365 5067 l 2381 5087 l 2397 5106 l 2413 5123 l 2429 5139 l 2444 5153 l 2460 5165 l 2475 5175 l 2495 5185 l 2515 5190 l 2533 5192 l 2551 5190 l 2569 5186 l 2585 5179 l 2602 5170 l 2617 5158 l 2633 5146 l 2648 5132 l 2663 5116 l 2677 5100 l 2692 5083 l 2708 5065 l 2723 5046 l 2740 5026 l 2756 5005 l 2774 4983 l 2792 4959 l 2810 4934 l 2830 4906 l 2850 4875 l 2863 4853 l 2877 4830 l 2891 4805 l 2905 4779 l 2920 4750 l 2935 4720 l 2951 4689 l 2966 4655 l 2983 4621 l 2999 4584 l 3016 4547 l 3033 4508 l 3050 4469 l 3067 4429 l 3085 4388 l 3102 4347 l 3120 4305 l 3137 4264 l 3154 4223 l 3172 4182 l 3189 4142 l 3206 4103 l 3222 4065 l 3238 4028 l 3254 3993 l 3270 3959 l 3285 3926 l 3299 3895 l 3313 3866 l 3327 3839 l 3340 3814 l 3352 3791 l 3364 3770 l 3375 3750 l 3393 3721 l 3409 3696 l 3424 3675 l 3437 3658 l 3449 3644 l 3459 3634 l 3468 3626 l 3476 3620 l 3484 3615 l 3491 3612 l 3498 3609 l 3506 3607 l 3514 3606 l 3522 3604 l 3532 3603 l 3543 3601 l 3555 3600 l 3569 3599 l 3584 3599 l 3600 3600 l 3616 3602 l 3632 3606 l 3650 3612 l 3668 3618 l 3686 3626 l 3705 3634 l 3724 3644 l 3744 3654 l 3763 3665 l 3784 3676 l 3804 3688 l 3824 3700 l 3845 3712 l 3866 3724 l 3888 3737 l 3909 3749 l 3931 3761 l 3954 3774 l 3977 3786 l 4001 3799 l 4025 3812 l 4050 3825 l 4072 3837 l 4095 3849 l 4118 3862 l 4142 3876 l 4167 3891 l 4192 3907 l 4219 3923 l 4245 3941 l 4272 3958 l 4300 3977 l 4328 3996 l 4356 4015 l 4384 4034 l 4412 4052 l 4440 4071 l 4468 4089 l 4496 4106 l 4523 4122 l 4550 4137 l 4577 4151 l 4603 4163 l 4629 4174 l 4654 4183 l 4678 4191 l 4702 4196 l 4725 4200 l 4752 4202 l 4778 4202 l 4804 4201 l 4828 4198 l 4852 4194 l 4875 4188 l 4898 4182 l 4920 4175 l 4941 4168 l 4963 4160 l 4984 4151 l 5005 4141 l 5027 4131 l 5048 4120 l 5071 4108 l 5094 4094 l 5117 4079 l 5142 4063 l 5167 4044 l 5194 4024 l 5221 4001 l 5250 3975 l 5269 3957 l 5288 3937 l 5307 3916 l 5326 3894 l 5345 3870 l 5363 3846 l 5381 3820 l 5398 3793 l 5415 3765 l 5431 3736 l 5447 3706 l 5463 3676 l 5479 3645 l 5494 3613 l 5509 3581 l 5525 3548 l 5541 3516 l 5557 3483 l 5573 3450 l 5591 3417 l 5609 3384 l 5628 3352 l 5649 3320 l 5671 3288 l 5694 3257 l 5719 3226 l 5746 3196 l 5775 3166 l 5807 3137 l 5840 3109 l 5876 3081 l 5915 3054 l 5956 3027 l 6000 3000 l 6033 2981 l 6067 2963 l 6103 2944 l 6141 2925 l 6182 2906 l 6225 2887 l 6270 2867 l 6317 2847 l 6368 2827 l 6421 2806 l 6476 2785 l 6535 2763 l 6595 2740 l 6659 2718 l 6725 2694 l 6793 2670 l 6863 2646 l 6936 2621 l 7010 2596 l 7085 2571 l 7162 2546 l 7239 2520 l 7316 2495 l 7394 2470 l 7471 2445 l 7546 2421 l 7621 2397 l 7693 2374 l 7762 2352 l 7829 2331 l 7893 2310 l 7952 2292 l 8008 2274 l 8059 2258 l 8106 2243 l 8147 2230 l 8184 2219 l 8216 2209 l 8244 2200 l 8266 2193 l 8285 2187 l 8299 2183 l 8310 2180 l 8317 2178 l 8321 2176 l 8324 2175 l 8325 2175 l gs col0 s gr $F2psEnd rs %%EndDocument @endspecial 2846 2287 a Fn(x)1572 1593 y(V)13 b Fr(\()p Fn(x)p Fr(\))1092 2924 y FB(Figure)32 b(11:)43 b(a)32 b(double-w)m(ell)f(p)s(oten)m(tial.)266 3237 y(Let)1259 3421 y(^)1234 3446 y Fw(H)k FB(=)28 b Fs(\000)1541 3379 y FB(1)p 1541 3423 49 4 v 1541 3514 a(2)1600 3446 y Fw(h)1656 3405 y Ft(2)1733 3379 y Fw(d)1784 3342 y Ft(2)p 1706 3423 146 4 v 1706 3514 a Fw(dx)1812 3485 y Ft(2)1883 3446 y FB(+)22 b Fw(V)g FB(\()p Fw(x)p FB(\))g Fs(\000)h Fw(\025h)941 b FB(\(42\))120 3671 y(b)s(e)48 b(the)h(corresp)s(onding)f (Sc)m(hr\177)-49 b(odinger)48 b(op)s(erator.)89 b(A)48 b(normalized)e(solution)h(of)3291 3646 y(^)3266 3671 y Fw(H)8 b(u)53 b FB(=)120 3791 y Fw(O)s FB(\()p Fw(h)292 3755 y FC(1)366 3791 y FB(\))28 b(exists)h(if)e(and)i(only)f(if)f Fw(\025h)h FB(is)g(an)g(eigen)m(v)-5 b(alue)28 b(of)g Fs(\000)2285 3752 y Ft(1)p 2285 3768 36 4 v 2285 3826 a(2)2330 3791 y Fw(h)2386 3755 y Ft(2)2456 3752 y Fv(d)2492 3729 y Fr(2)p 2436 3768 111 4 v 2436 3826 a Fv(dx)2512 3807 y Fr(2)2570 3791 y FB(+)13 b Fw(V)22 b FB(\()p Fw(x)p FB(\))28 b(up)h(to)f(a)g(relativ)m(e)120 3912 y(error)k(of)h(order)f Fw(O)s FB(\()p Fw(h)896 3876 y FC(1)970 3912 y FB(\))h(\(relativ)m(e)f (to)g(the)h(closest)g(eigen)m(v)-5 b(alue\).)1193 4655 y @beginspecial @setspecial %%BeginDocument: double.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -43.0 105.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-iso isovec ReEncode /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 2745 m -1000 -1000 l 4213 -1000 l 4213 2745 l cp clip 0.06000 0.06000 sc % Polyline 7.500 slw n 787 1028 m 789 1026 l 794 1020 l 801 1011 l 813 997 l 829 980 l 847 959 l 868 937 l 889 914 l 912 891 l 934 869 l 956 848 l 977 830 l 997 814 l 1017 799 l 1037 786 l 1056 775 l 1077 764 l 1097 755 l 1119 748 l 1140 741 l 1161 735 l 1184 730 l 1208 725 l 1232 721 l 1258 717 l 1285 714 l 1313 712 l 1341 711 l 1370 710 l 1399 711 l 1428 712 l 1456 714 l 1484 716 l 1512 720 l 1539 724 l 1564 729 l 1589 735 l 1612 741 l 1635 748 l 1656 755 l 1676 764 l 1696 772 l 1715 782 l 1733 793 l 1751 805 l 1769 817 l 1787 831 l 1804 845 l 1822 860 l 1839 876 l 1857 893 l 1874 911 l 1892 929 l 1910 947 l 1927 966 l 1944 985 l 1962 1004 l 1979 1023 l 1997 1041 l 2015 1060 l 2033 1078 l 2051 1097 l 2070 1115 l 2088 1132 l 2107 1149 l 2127 1167 l 2148 1184 l 2169 1202 l 2192 1220 l 2216 1238 l 2240 1256 l 2266 1274 l 2292 1291 l 2318 1308 l 2345 1324 l 2373 1340 l 2400 1355 l 2427 1369 l 2454 1382 l 2480 1394 l 2506 1404 l 2531 1413 l 2556 1421 l 2580 1428 l 2603 1433 l 2626 1437 l 2649 1440 l 2673 1441 l 2696 1441 l 2720 1438 l 2744 1434 l 2769 1428 l 2795 1420 l 2822 1409 l 2851 1396 l 2881 1382 l 2912 1365 l 2945 1346 l 2979 1326 l 3012 1305 l 3044 1284 l 3074 1265 l 3100 1247 l 3121 1232 l 3137 1221 l 3148 1213 l 3154 1209 l 3157 1207 l gs col-1 s gr % Polyline n 787 1185 m 789 1188 l 793 1195 l 801 1207 l 812 1224 l 827 1245 l 844 1270 l 862 1295 l 882 1320 l 901 1344 l 921 1366 l 941 1386 l 961 1403 l 981 1418 l 1001 1432 l 1023 1444 l 1046 1454 l 1071 1464 l 1091 1470 l 1112 1476 l 1134 1482 l 1158 1487 l 1183 1491 l 1209 1495 l 1236 1499 l 1264 1502 l 1294 1504 l 1324 1505 l 1355 1506 l 1386 1506 l 1417 1505 l 1449 1503 l 1480 1501 l 1511 1497 l 1542 1493 l 1571 1488 l 1600 1482 l 1628 1476 l 1655 1469 l 1681 1461 l 1707 1452 l 1731 1442 l 1755 1432 l 1779 1420 l 1802 1408 l 1825 1395 l 1848 1380 l 1871 1365 l 1894 1349 l 1917 1332 l 1939 1315 l 1962 1296 l 1984 1278 l 2007 1259 l 2029 1239 l 2050 1220 l 2072 1201 l 2092 1182 l 2113 1163 l 2132 1145 l 2152 1128 l 2171 1111 l 2189 1095 l 2208 1079 l 2226 1064 l 2244 1050 l 2264 1035 l 2284 1020 l 2305 1006 l 2326 993 l 2348 980 l 2371 967 l 2394 955 l 2417 944 l 2441 933 l 2465 923 l 2489 914 l 2513 905 l 2538 898 l 2561 891 l 2584 885 l 2607 880 l 2629 876 l 2651 873 l 2672 871 l 2692 870 l 2712 869 l 2731 870 l 2752 871 l 2773 873 l 2794 876 l 2816 881 l 2838 887 l 2862 894 l 2888 902 l 2914 913 l 2943 924 l 2973 937 l 3004 950 l 3034 964 l 3063 978 l 3089 990 l 3112 1001 l 3129 1009 l 3140 1015 l 3147 1018 l 3150 1020 l gs col-1 s gr % Polyline [60] 0 sd gs clippath 2593 1013 m 2470 1025 l 2573 957 l 2421 1012 l 2441 1068 l cp clip n 2273 1170 m 2277 1172 l 2285 1175 l 2299 1181 l 2318 1189 l 2343 1199 l 2372 1210 l 2402 1222 l 2433 1233 l 2462 1243 l 2490 1253 l 2515 1261 l 2539 1267 l 2561 1273 l 2581 1277 l 2600 1280 l 2619 1282 l 2638 1283 l 2658 1282 l 2679 1281 l 2700 1279 l 2721 1276 l 2742 1271 l 2763 1266 l 2784 1259 l 2804 1252 l 2823 1244 l 2840 1236 l 2856 1227 l 2871 1217 l 2883 1208 l 2893 1199 l 2902 1189 l 2908 1180 l 2913 1170 l 2917 1161 l 2918 1151 l 2918 1140 l 2917 1130 l 2914 1119 l 2910 1108 l 2904 1097 l 2897 1087 l 2889 1077 l 2881 1067 l 2872 1058 l 2862 1049 l 2852 1041 l 2842 1034 l 2832 1028 l 2820 1020 l 2808 1014 l 2794 1008 l 2781 1002 l 2766 997 l 2751 992 l 2736 988 l 2721 985 l 2706 983 l 2691 981 l 2676 980 l 2662 979 l 2649 979 l 2636 980 l 2623 981 l 2610 983 l 2596 986 l 2581 989 l 2565 994 l 2547 999 l 2527 1006 l 2507 1013 l 2487 1020 l 2470 1026 l 2445 1035 l gs col-1 s gr gr [] 0 sd % arrowhead n 2593 1013 m 2470 1025 l 2573 957 l col-1 s % Polyline [60] 0 sd gs clippath 1594 1259 m 1709 1215 l 1628 1308 l 1761 1216 l 1727 1167 l cp clip n 1792 1073 m 1789 1070 l 1784 1065 l 1775 1055 l 1762 1042 l 1747 1026 l 1729 1009 l 1712 993 l 1694 977 l 1676 962 l 1660 949 l 1643 938 l 1627 928 l 1611 920 l 1595 913 l 1577 906 l 1561 901 l 1543 896 l 1525 891 l 1505 887 l 1485 884 l 1463 881 l 1441 878 l 1418 876 l 1395 874 l 1372 873 l 1349 873 l 1327 873 l 1305 874 l 1285 876 l 1265 877 l 1247 880 l 1229 883 l 1213 886 l 1195 891 l 1178 896 l 1162 902 l 1146 908 l 1131 916 l 1117 924 l 1103 934 l 1090 943 l 1078 954 l 1067 964 l 1057 975 l 1048 986 l 1040 998 l 1033 1009 l 1027 1020 l 1021 1031 l 1015 1044 l 1010 1058 l 1005 1072 l 1001 1088 l 998 1103 l 996 1119 l 994 1136 l 993 1152 l 994 1168 l 995 1183 l 997 1198 l 1000 1212 l 1004 1226 l 1009 1238 l 1014 1251 l 1021 1263 l 1029 1275 l 1038 1287 l 1048 1299 l 1060 1311 l 1072 1322 l 1085 1332 l 1099 1342 l 1113 1351 l 1128 1359 l 1143 1367 l 1157 1373 l 1173 1378 l 1186 1383 l 1200 1386 l 1215 1390 l 1231 1393 l 1247 1395 l 1264 1396 l 1282 1397 l 1300 1398 l 1318 1397 l 1337 1396 l 1355 1394 l 1373 1391 l 1391 1388 l 1408 1384 l 1425 1379 l 1441 1374 l 1456 1368 l 1471 1362 l 1486 1355 l 1503 1347 l 1520 1337 l 1539 1326 l 1559 1314 l 1581 1300 l 1605 1285 l 1629 1269 l 1653 1253 l 1676 1238 l 1696 1225 l 1732 1200 l gs col-1 s gr gr [] 0 sd % arrowhead n 1594 1259 m 1709 1215 l 1628 1308 l col-1 s % Polyline [15 45] 45 sd n 3157 1028 m 3158 1029 l 3162 1035 l 3169 1047 l 3178 1061 l 3186 1074 l 3192 1085 l 3196 1095 l 3199 1104 l 3200 1113 l 3201 1123 l 3201 1133 l 3200 1143 l 3198 1152 l 3196 1161 l 3193 1169 l 3190 1175 l 3185 1182 l 3178 1189 l 3169 1196 l 3158 1202 l 3151 1206 l 3150 1207 l gs col-1 s gr [] 0 sd % Polyline [15 45] 45 sd n 802 1192 m 801 1191 l 796 1184 l 786 1172 l 775 1158 l 765 1144 l 757 1133 l 751 1125 l 747 1118 l 744 1111 l 742 1105 l 741 1098 l 742 1092 l 743 1086 l 745 1080 l 748 1074 l 752 1068 l 757 1062 l 763 1054 l 772 1045 l 782 1034 l 794 1022 l 804 1011 l 809 1006 l 810 1005 l gs col-1 s gr [] 0 sd $F2psEnd rs %%EndDocument @endspecial 1863 4450 a Fw(s)2088 4367 y(\015)2139 4382 y Ft(1)1395 4360 y Fw(\015)1446 4375 y Ft(2)1514 4105 y Fw(y)1562 4120 y FC(\000)1410 4626 y Fw(y)1458 4641 y Ft(+)2122 4168 y Fw(x)2177 4183 y Ft(+)2114 4588 y Fw(x)2169 4603 y FC(\000)1901 4307 y FB(1)1965 4521 y(4)1739 4243 y(3)1751 4540 y(2)642 4858 y(Figure)31 b(12:)43 b(the)33 b(double)g(w)m(ell)f(p)s(oten)m(tial)e(in)i(the)h(phase)h (space.)266 5171 y(W)-8 b(e)33 b(ha)m(v)m(e:)1233 5370 y(det)q(\()p Fw(H)1496 5329 y FC(0)s(0)1542 5385 y Ft(0)1581 5370 y FB(\))28 b(=)f Fs(V)8 b Fw(;)115 b(")2007 5385 y Ft(0)2074 5370 y FB(=)2274 5303 y Fw(\025)p 2187 5347 230 4 v 2187 5367 a Fs(p)p 2270 5367 147 4 v 80 x(\000V)3367 5370 y FB(\(43\))1781 5712 y(19)p eop %%Page: 20 20 20 19 bop 120 407 a FB(The)34 b(holonom)m(y)d(equations)i(read:)1270 594 y Fw(x)1325 609 y FC(\000)1412 594 y FB(=)28 b Fw(h)1572 609 y Fv(\015)1608 618 y Fr(1)1647 594 y Fw(x)1702 609 y Ft(+)1762 594 y Fw(;)49 b(y)1886 609 y FC(\000)1972 594 y FB(=)28 b Fw(h)2132 609 y Fv(\015)2168 618 y Fr(2)2207 594 y Fw(y)2255 609 y Ft(+)2346 594 y Fw(;)994 b FB(\(44\))120 782 y(and)33 b(the)g(critical)d(p)s(oin)m(t)i(relations)f(are:)1294 882 y Fu(\022)1409 961 y Fw(y)1457 976 y FC(\000)1409 1082 y Fw(x)1464 1097 y FC(\000)1565 882 y Fu(\023)1666 1022 y FB(=)c Fw(T)14 b FB(\()p Fw(")p FB(\))1979 882 y Fu(\022)2093 961 y Fw(x)2148 976 y Ft(+)2093 1082 y Fw(y)2141 1097 y Ft(+)2249 882 y Fu(\023)2339 1022 y Fw(:)1001 b FB(\(45\))120 1262 y(W)-8 b(e)33 b(get)g(the)g(follo)m (wing)c(quan)m(tization)j(relation:)1116 1503 y(det)1268 1362 y Fu(\022)q(\022)1456 1442 y FB(0)166 b Fw(h)1727 1457 y Fv(\015)1763 1466 y Fr(2)1456 1562 y Fw(h)1512 1577 y Fv(\015)1548 1586 y Fr(1)1671 1562 y FB(0)1843 1362 y Fu(\023)1939 1503 y Fs(\000)23 b Fw(T)14 b FB(\()p Fw(")p FB(\))2232 1362 y Fu(\023)2332 1503 y FB(=)27 b(0)33 b Fw(:)823 b FB(\(46\))120 1743 y(or)32 b(equiv)-5 b(alen)m(tly)32 b(\\1)g(is)g(an)h(eigen)m(v)-5 b(alue)32 b(of)g(the)h(matrix":)770 1985 y Fw(T)14 b FB(\()p Fw(")p FB(\))980 1844 y Fu(\022)1093 1922 y FB(0)185 b Fw(h)1383 1886 y FC(\000)p Ft(1)1383 1947 y Fv(\015)1419 1956 y Fr(1)1093 2044 y Fw(h)1149 2008 y FC(\000)p Ft(1)1149 2069 y Fv(\015)1185 2078 y Fr(2)1327 2044 y FB(0)1519 1844 y Fu(\023)1609 1985 y Fw(;)114 b(T)14 b FB(\()p Fw(")p FB(\))27 b(=)g Fs(E)2152 1844 y Fu(\022)2266 1924 y FB(1)247 b Fw(ie)2640 1887 y FC(\000)p Fv("\031)2266 2044 y Fw(ie)2344 2008 y FC(\000)p Fv("\031)2562 2044 y FB(1)2817 1844 y Fu(\023)120 2232 y FB(This)32 b(matrix)e(is)g (unitary)-8 b(,)32 b(hence)h(w)m(e)f(ma)m(y)f(apply)g([8,)h(App)s (endix])g(and)g(rewrite)f(the)h(quan-)120 2352 y(tization)f(condition)g (as)i(a)f(real)g(equation,)g(lik)m(e)g([8,)g(Prop)s(osition)f(3]:)120 2528 y Fy(Prop)s(osition)36 b(1)48 b Fp(The)d(e)-5 b(quation)1464 2503 y FB(^)1439 2528 y Fw(H)8 b(u)46 b FB(=)h Fw(O)s FB(\()p Fw(h)1925 2492 y FC(1)1999 2528 y FB(\))e Fp(has)g(a)g (normalize)-5 b(d)44 b(eigenfunction)g(if)120 2648 y(and)34 b(only)h(if)g Fw(\025)f Fp(satis\014es)h(the)f(fol)5 b(lowing)34 b(c)-5 b(ondition:)388 2820 y FB(1)p 207 2865 413 4 v 207 2885 a Fs(p)p 290 2885 330 4 v 82 x FB(1)22 b(+)g Fw(e)504 2938 y Ft(2)p Fv(\031)r(")645 2888 y FB(cos)793 2747 y Fu(\022)876 2820 y Fw(')940 2835 y Ft(1)1001 2820 y Fs(\000)h Fw(')1165 2835 y Ft(2)p 876 2865 329 4 v 1016 2956 a FB(2)1214 2747 y Fu(\023)1315 2888 y FB(=)28 b(cos)1566 2747 y Fu(\022)1649 2820 y Fw(')1713 2835 y Ft(1)1775 2820 y FB(+)22 b Fw(')1937 2835 y Ft(2)p 1649 2865 327 4 v 1788 2956 a FB(2)2008 2888 y(+)2116 2820 y Fw(\031)p 2116 2865 59 4 v 2121 2956 a FB(2)2207 2888 y(+)g Fw(")17 b FB(ln)e Fw(h)23 b FB(+)f(arg)17 b(\000\()2904 2820 y(1)p 2904 2865 49 4 v 2904 2956 a(2)2985 2888 y(+)22 b Fw(i")p FB(\))3200 2747 y Fu(\023)3367 2888 y FB(\(47\))120 3132 y Fp(wher)-5 b(e)34 b Fw(")h Fp(dep)-5 b(ends)33 b(on)i Fw(\025)g Fp(\(cf.)44 b(\(11\))34 b(and)g(\(43\)\))g(and:)1323 3320 y Fw(e)1368 3279 y Fv(i')1438 3288 y Fr(1)1504 3320 y FB(=)28 b Fw(h)1664 3279 y FC(\000)p Ft(1)1664 3345 y Fv(\015)1700 3354 y Fr(1)1758 3320 y Fw(;)117 b(e)1947 3279 y Fv(i')2017 3288 y Fr(2)2083 3320 y FB(=)28 b Fw(h)2243 3279 y FC(\000)p Ft(1)2243 3345 y Fv(\015)2279 3354 y Fr(2)120 3508 y FB(W)-8 b(e)39 b(w)m(an)m(t)h(to)e(calculate)g(more)g (explicitly)f(\(47\))h(up)h(to)f(a)h(relativ)m(e)f(error)g(of)h(order)g Fw(O)s FB(\()p Fw(h)p FB(\).)120 3628 y(Hence)e(w)m(e)f(replace)f Fw(")g FB(b)m(y)h Fw(")1157 3643 y Ft(0)1196 3628 y FB(,)g(and)g (calculate)e Fw(')1925 3643 y Ft(1)1999 3628 y FB(and)i Fw(')2256 3643 y Ft(2)2330 3628 y FB(using)f(\(24\).)51 b(W)-8 b(e)36 b(observ)m(e)h(that)120 3748 y(the)30 b(Maslo)m(v)f (indices)h(are)f(+1)g(and)h(that)f(the)h Fw(A)1879 3763 y Fv(\015)1915 3773 y Fn(i)1975 3748 y FB(v)-5 b(alues)29 b(are)h(opp)s(osite)e(to)i(the)f(area)h(inside)120 3869 y(the)35 b(cycles)h Fw(\015)623 3884 y Fv(i)685 3869 y FB(\(since)f Fw(d)p FB(\()p Fw(\030)5 b(dx)p FB(\))31 b(=)g Fs(\000)p Fw(dx)24 b Fs(^)g Fw(d\030)5 b FB(\).)49 b(It)35 b(remains)f(to)g(do)h(the)g(calculation)d(of)j(the)120 3989 y(regularized)d(in)m(tegrals)f Fw(I)1055 4004 y Fv(\015)1091 4014 y Fn(i)1122 3989 y FB(.)266 4110 y(Note)i(that)f (along)g(a)g(tra)5 b(jectory)33 b(of)f(the)h(Hamiltonian)c Fw(H)35 b FB(=)28 b Fw(\030)2618 4073 y Ft(2)2657 4110 y Fw(=)p FB(2)21 b(+)h Fw(V)g FB(\()p Fw(x)p FB(\))33 b(one)g(has:)1338 4279 y Fw(dx)p 1338 4324 107 4 v 1348 4415 a(dt)1482 4347 y FB(=)28 b Fw(\030)1629 4362 y FC(\006)1715 4347 y FB(=)f Fs(\006)1895 4257 y Fu(p)p 1996 4257 337 4 v 1996 4347 a Fs(\000)p FB(2)p Fw(V)21 b FB(\()p Fw(x)p FB(\))120 4560 y(Let)28 b Fw(\015)33 b FB(denotes)c(one)e(of)h(the)g(t) m(w)m(o)g(cycles,)i(let)d Fw(A)h FB(b)s(e)g(the)g(in)m(tersection)g(of) f Fw(\015)33 b FB(with)27 b(the)h Fw(x)g FB(axis.)120 4680 y(Let)33 b Fw(x)350 4695 y Fv(A)439 4680 y FB(b)s(e)g(the)g Fw(x)p FB(-co)s(ordinate)e(of)h Fw(A)h FB(\(e.g.)44 b(for)32 b Fw(V)21 b FB(\()p Fw(x)p FB(\))28 b(=)g Fw(x)2297 4644 y Ft(2)2336 4680 y FB(\(\()p Fw(x)23 b Fs(\000)f Fw(b)p FB(\))2668 4644 y Ft(2)2730 4680 y Fs(\000)g Fw(a)2880 4644 y Ft(2)2920 4680 y FB(\),)32 b Fw(x)3072 4695 y Fv(A)3157 4680 y FB(=)c Fw(b)22 b Fs(\006)h Fw(a)p FB(\).)120 4800 y(F)-8 b(rom)31 b(de\014nition)h(\(8\),)g(w)m(e)h(get:)618 5056 y Fw(I)661 5071 y Fv(\015)788 5056 y FB(=)117 b(lim)948 5134 y Ft(~)-36 b Fv(a)982 5117 y Ft(~)985 5134 y Fv(b)p FC(!)p Fv(s)1119 5144 y Fn(j)1151 5056 y FB(\()1189 4920 y Fu(Z)1289 4946 y Ft(~)g Fv(a)1244 5146 y(A)1346 5056 y Fw(H)1427 5071 y Ft(1)1467 5056 y Fw(dt)22 b FB(+)1673 4920 y Fu(Z)1772 4946 y Fv(A)1726 5128 y Ft(~)1728 5146 y Fv(b)1846 5056 y Fw(H)1927 5071 y Ft(1)1966 5056 y Fw(dt)g FB(+)g Fw(a)p FB(\(0\))17 b(ln)2463 4920 y Fu(Z)2518 5146 y Fv(R)2573 5169 y Fr(~)-32 b Fn(a;)2622 5156 y Fr(~)2624 5169 y Fn(b)2676 5056 y Fw(!)t FB(\))788 5350 y(=)83 b Fw(\025)22 b FB(lim)1021 5410 y Fv(x)p FC(!)p Ft(0)1166 5350 y FB(\(2)1270 5215 y Fu(Z)1369 5241 y Fv(x)1325 5440 y(x)1365 5451 y Fn(A)1572 5283 y Fs(\000)p Fw(dX)p 1446 5327 470 4 v 1446 5347 a Fu(p)p 1545 5347 370 4 v 1545 5432 a Fs(\000)p FB(2)p Fw(V)g FB(\()p Fw(X)8 b FB(\))1947 5350 y(+)2145 5283 y(1)p 2055 5327 230 4 v 2055 5347 a Fs(p)p 2138 5347 147 4 v 80 x(\000V)2311 5350 y FB(ln)16 b Fs(j)p FB(2)p Fw(x)2541 5260 y Fu(p)p 2640 5260 337 4 v 2640 5350 a Fs(\000)p FB(2)p Fw(V)22 b FB(\()p Fw(x)p FB(\))q Fs(j)p FB(\))1781 5712 y(20)p eop %%Page: 21 21 21 20 bop 120 407 a Fo(8.2)135 b(Non)45 b(singular)h(limit.)120 592 y FB(In)35 b(this)g(section,)h(w)m(e)g(sho)m(w)g(that)f(the)g (limit)c(of)k(the)g(singular)f(Bohr-Sommerfeld)f(quan)m(ti-)120 712 y(zation)f(rules)g(as)h Fw(")27 b Fs(!)h(\0061)k FB(are)h(the)g(usual)f(quan)m(tization)g(rules.)266 832 y(W)-8 b(e)33 b(apply)g(the)g(Stirling)c(form)m(ula:)1112 1057 y(arg)17 b(\000\()1374 989 y(1)p 1374 1034 49 4 v 1374 1125 a(2)1455 1057 y(+)22 b Fw(i")p FB(\))27 b(=)h Fw(")17 b FB(ln)e Fs(j)p Fw(")p Fs(j)21 b(\000)i Fw(")f FB(+)g Fw(o)p FB(\(1\))p Fw(;)120 1298 y FB(and)43 b(ev)-5 b(aluate)42 b(the)h(area)g(inside)f(the)h(curv)m(e)1857 1254 y Fv(\030)1891 1230 y Fr(2)p 1857 1275 69 4 v 1873 1332 a Ft(2)1964 1298 y FB(+)29 b Fw(V)22 b FB(\()p Fw(x)p FB(\))45 b(=)g Fw(\034)54 b FB(as)43 b Fw(\034)54 b FB(tends)44 b(to)e(0.)73 b(F)-8 b(rom)120 1418 y(Equation)32 b(\(10\))g(\(section)h (2.2\),)f(w)m(e)i(get:)451 1659 y Fw(A)p FB(\()p Fw(\034)11 b FB(\))29 b(=)e Fw(A)p FB(\(0\))22 b(+)g(2)1247 1591 y Fw(\034)p 1162 1636 225 4 v 1162 1656 a Fu(p)p 1261 1656 125 4 v 1261 1741 a Fs(jV)8 b(j)1396 1659 y FB(\(1)22 b Fs(\000)g FB(ln)1770 1591 y Fs(j)p Fw(\034)11 b Fs(j)p 1712 1636 225 4 v 1712 1656 a Fu(p)p 1812 1656 125 4 v 85 x Fs(jV)d(j)1946 1659 y FB(\))23 b Fs(\000)f FB(\()p Fw(I)2187 1674 y Fv(\015)2223 1683 y Fr(1)2284 1659 y FB(+)g Fw(I)2425 1674 y Fv(\015)2461 1683 y Fr(2)2501 1659 y FB(\))p Fw(\034)33 b FB(+)22 b Fw(O)s FB(\()p Fw(\034)2881 1617 y Ft(2)2937 1659 y FB(ln)16 b Fs(j)p Fw(\034)11 b Fs(j)p FB(\))p Fw(;)120 1914 y FB(where)34 b Fw(H)483 1929 y Ft(1)550 1914 y FB(=)27 b(1)33 b(in)e(the)i (de\014nition)f(of)g(the)h Fw(I)1772 1929 y Fv(\015)1849 1914 y FB(in)m(tegrals.)266 2034 y(Here)27 b Fw(\034)39 b FB(=)28 b Fw(\025h)e FB(and)g(w)m(e)h(m)m(ust)f(c)m(hange)h(the)f (sign)f(of)h Fw(A)p FB(\()p Fw(\034)11 b FB(\))26 b(since)h(the)f (cycles)h(are)f(orien)m(ted)120 2154 y(using)32 b(the)h(trigonometric)d (con)m(v)m(en)m(tion:)120 2254 y Fu(Z)175 2479 y Fv(H)5 b Ft(=)p Fv(\025h)396 2389 y Fw(\030)37 b(dx)83 b FB(=)824 2254 y Fu(Z)879 2479 y Fv(H)5 b Ft(=0)1053 2389 y Fw(\030)37 b(dx)22 b FB(+)g(2)1474 2322 y Fw(\025h)p 1418 2366 225 4 v 1418 2386 a Fu(p)p 1518 2386 125 4 v 85 x Fs(jV)8 b(j)1652 2389 y FB(\(ln)1826 2322 y Fs(j)p Fw(\025h)p Fs(j)p 1798 2366 225 4 v 1798 2386 a Fu(p)p 1898 2386 125 4 v 85 x Fs(jV)g(j)2054 2389 y(\000)23 b FB(1\))f(+)g(\()p Fw(I)2442 2404 y Fv(\015)2478 2413 y Fr(1)2539 2389 y FB(+)g Fw(I)2680 2404 y Fv(\015)2716 2413 y Fr(2)2755 2389 y FB(\))p Fw(\025h)g FB(+)g Fw(O)s FB(\()p Fw(\025)3199 2348 y Ft(2)3238 2389 y Fw(h)3294 2348 y Ft(2)3350 2389 y FB(ln)16 b Fw(h)p FB(\))665 2671 y(=)824 2535 y Fu(Z)879 2761 y Fv(H)5 b Ft(=0)1053 2671 y Fw(\030)37 b(dx)22 b FB(+)g(2)p Fw(")1454 2686 y Ft(0)1493 2671 y Fw(h)p FB(\(ln)16 b Fs(j)p Fw(h")1815 2686 y Ft(0)1854 2671 y Fs(j)22 b(\000)h FB(1\))f Fs(\000)g Fw(h)p FB(\()p Fw(I)2349 2686 y Fv(\015)2385 2695 y Fr(1)2446 2671 y FB(+)g Fw(I)2587 2686 y Fv(\015)2623 2695 y Fr(2)2663 2671 y FB(\))p Fw(H)2782 2686 y Ft(1)2843 2671 y FB(+)g Fw(O)s FB(\()p Fw(\025)3114 2630 y Ft(2)3152 2671 y Fw(h)3208 2630 y Ft(2)3265 2671 y FB(ln)16 b Fw(h)p FB(\))120 2903 y(where)34 b Fw(H)483 2918 y Ft(1)550 2903 y FB(=)27 b Fs(\000)p Fw(\025)p FB(.)266 3024 y(If)35 b Fw(\025)f FB(tends)i(to)f(+)p Fs(1)p FB(,)f(Equation)h(\(47\))f(is)g(satis\014ed) h(if)f(the)h(argumen)m(t)f(of)g(the)i(cosine)e(of)120 3144 y(the)f(righ)m(t)f(hand-side)g(is)g Fw(\031)t(=)p FB(2)g(mo)s(dulo)f Fw(\031)t FB(,)h(hence:)965 3300 y Fw(')1029 3315 y Ft(1)1091 3300 y FB(+)22 b Fw(')1253 3315 y Ft(2)p 965 3344 327 4 v 1104 3435 a FB(2)1324 3367 y(+)g Fw(")17 b FB(ln)e Fw(h)23 b Fs(\000)f Fw(")g FB(+)g Fw(")17 b FB(ln)e Fw(")22 b FB(+)g Fw(o)2299 3382 y Fv(")2336 3367 y FB(\(1\))27 b(=)h Fw(k)s(\031)666 b FB(\(48\))120 3578 y(On)33 b(the)g(other)f(hand:)462 3720 y Fw(')526 3735 y Ft(1)587 3720 y FB(+)22 b Fw(')749 3735 y Ft(2)p 462 3764 V 601 3855 a FB(2)882 3787 y(=)1050 3720 y Fw(\031)p 1050 3764 59 4 v 1055 3855 a FB(2)1141 3787 y(+)1277 3720 y(1)p 1249 3764 105 4 v 1249 3855 a(2)p Fw(h)1381 3651 y Fu(Z)1436 3877 y Fv(H)5 b Ft(=0)1610 3787 y Fw(\030)37 b(dx)22 b Fs(\000)1928 3720 y FB(1)p 1928 3764 49 4 v 1928 3855 a(2)1987 3787 y(\()p Fw(I)2068 3802 y Fv(\015)2104 3811 y Fr(1)2165 3787 y FB(+)g Fw(I)2306 3802 y Fv(\015)2342 3811 y Fr(2)2381 3787 y FB(\)\()p Fw(H)2538 3802 y Ft(1)2577 3787 y FB(\))882 4046 y(=)1050 3978 y Fw(\031)p 1050 4023 59 4 v 1055 4114 a FB(2)1141 4046 y(+)1277 3978 y(1)p 1249 4023 105 4 v 1249 4114 a(2)p Fw(h)1381 3910 y Fu(Z)1436 4136 y Fv(H)5 b Ft(=)p Fv(\025h)1657 4046 y Fw(\030)37 b(dx)22 b Fs(\000)h Fw(")2011 4061 y Ft(0)2050 4046 y FB(\(ln)16 b Fs(j)p Fw(h")2316 4061 y Ft(0)2354 4046 y Fs(j)22 b(\000)h FB(1\))f(+)g Fw(O)s FB(\()p Fw(h)17 b FB(ln)e Fw(h)32 b(")3131 4005 y Ft(2)3131 4070 y(0)3170 4046 y FB(\))120 4284 y(therefore)h(\(48\))f (b)s(ecomes:)888 4446 y(1)p 859 4491 V 859 4582 a(2)p Fw(h)974 4514 y(A)p FB(\()p Fw(h")p FB(\))22 b(+)1355 4446 y Fw(\031)p 1355 4491 59 4 v 1360 4582 a FB(2)1446 4514 y(+)g Fw(O)s FB(\()p Fw(h)17 b FB(ln)e Fw(h)33 b(")1965 4473 y Ft(2)2004 4514 y FB(\))22 b(+)g Fw(o)2209 4529 y Fv(")p FC(!)p Ft(+)p FC(1)2442 4514 y FB(\(1\))27 b(=)h Fw(k)s(\031)120 4725 y FB(whic)m(h)j(is)g(the)g(usual)f (Bohr-Sommerfeld)f(quan)m(tization)g(rule.)43 b(W)-8 b(e)31 b(lea)m(v)m(e)g(the)h(same)e(v)m(eri\014-)120 4845 y(cation)i(as)g Fw(\025)h FB(tends)h(to)e Fs(\0001)g FB(as)h(an)g(exercise)h(for)e(the)h(reader.)120 5129 y Fo(8.3)135 b(Analytic)43 b(calculations)h(for)e(p)t(olynomial)i(p)t (oten)l(tials)g(of)e(de-)426 5278 y(gree)k FF(4)p Fo(.)120 5463 y FB(In)33 b(this)f(section)h(w)m(e)g(examine)g(further)f(the)h (example)f Fw(V)22 b FB(\()p Fw(x)p FB(\))28 b(=)g Fw(x)2558 5427 y Ft(2)2597 5463 y FB(\(\()p Fw(x)23 b Fs(\000)f Fw(b)p FB(\))2929 5427 y Ft(2)2991 5463 y Fs(\000)h Fw(a)3142 5427 y Ft(2)3182 5463 y FB(\).)1781 5712 y(21)p eop %%Page: 22 22 22 21 bop 120 407 a Fy(8.3.1)112 b(Results.)120 592 y FB(Using)36 b(our)g(preferred)h(CAS)g(\(computer)f(algebra)f(system\),) k(w)m(e)e(determine)f(analytically)120 712 y(the)d Fw(A)361 727 y Fv(\015)397 737 y Fn(i)428 712 y FB('s:)402 1022 y Fw(A)475 1037 y Fv(\015)511 1049 y Fn(d)635 1022 y FB(=)794 935 y Fs(p)p 877 935 49 4 v 87 x FB(2)942 852 y Fu( )1021 1022 y Fs(\000)1108 955 y FB(2)1157 873 y Fs(p)p 1241 873 294 4 v 1241 955 a Fw(a)1292 926 y Ft(2)1353 955 y Fs(\000)23 b Fw(b)1494 926 y Ft(2)1534 891 y(3)p 1108 999 465 4 v 1317 1090 a FB(3)1605 1022 y Fs(\000)1705 935 y(p)p 1788 935 294 4 v 87 x Fw(a)1839 993 y Ft(2)1901 1022 y Fs(\000)f Fw(b)2041 993 y Ft(2)2081 1022 y Fw(b)2122 981 y Ft(2)2184 1022 y Fs(\000)h Fw(ba)2376 981 y Ft(2)2433 1022 y FB(arcsin\()2736 955 y Fw(b)p 2731 999 52 4 v 2731 1090 a(a)2792 1022 y FB(\))f Fs(\000)2961 955 y Fw(a)3012 918 y Ft(2)3052 955 y Fw(b\031)p 2961 999 192 4 v 3032 1090 a FB(2)3162 852 y Fu(!)402 1354 y Fw(A)475 1369 y Fv(\015)511 1377 y Fn(g)635 1354 y FB(=)794 1267 y Fs(p)p 877 1267 49 4 v 87 x FB(2)942 1184 y Fu( )1021 1354 y Fs(\000)1108 1287 y FB(2)1157 1205 y Fs(p)p 1241 1205 294 4 v 1241 1287 a Fw(a)1292 1258 y Ft(2)1353 1287 y Fs(\000)h Fw(b)1494 1258 y Ft(2)1534 1223 y(3)p 1108 1331 465 4 v 1317 1422 a FB(3)1605 1354 y Fs(\000)1705 1267 y(p)p 1788 1267 294 4 v 87 x Fw(a)1839 1325 y Ft(2)1901 1354 y Fs(\000)f Fw(b)2041 1325 y Ft(2)2081 1354 y Fw(b)2122 1313 y Ft(2)2184 1354 y Fs(\000)h Fw(ba)2376 1313 y Ft(2)2433 1354 y FB(arcsin\()2736 1287 y Fw(b)p 2731 1331 52 4 v 2731 1422 a(a)2792 1354 y FB(\))f(+)2960 1287 y Fw(a)3011 1251 y Ft(2)3050 1287 y Fw(b\031)p 2960 1331 192 4 v 3031 1422 a FB(2)3161 1184 y Fu(!)120 1656 y FB(and)33 b Fw(I)353 1671 y Fv(\015)397 1656 y FB('s:)329 1936 y Fw(I)372 1951 y Fv(\015)408 1963 y Fn(d)476 1936 y FB(=)27 b Fw(")625 1951 y Ft(0)681 1796 y Fu(\022)764 1869 y FB(7)p 764 1913 49 4 v 764 2004 a(2)840 1936 y(ln)16 b(2\()p Fw(a)1076 1895 y Ft(2)1137 1936 y Fs(\000)23 b Fw(b)1278 1895 y Ft(2)1318 1936 y FB(\))f Fs(\000)g FB(2)17 b(ln)f Fw(a)1692 1796 y Fu(\023)1793 1936 y FB(=)27 b Fw(")1942 1951 y Ft(0)1998 1796 y Fu(\022)2081 1869 y FB(7)p 2081 1913 V 2081 2004 a(2)2157 1936 y(ln)o(\(2\()p Fw(a)2414 1895 y Ft(2)2475 1936 y Fs(\000)c Fw(b)2616 1895 y Ft(2)2656 1936 y FB(\)\))f Fs(\000)h FB(2)17 b(ln)e Fw(a)3068 1796 y Fu(\023)3367 1936 y FB(\(49\))120 2208 y(W)-8 b(e)33 b(observ)m(e)h(that)f Fw(I)890 2223 y Fv(\015)926 2231 y Fn(g)994 2208 y FB(=)28 b Fw(I)1141 2223 y Fv(\015)1177 2235 y Fn(d)1217 2208 y FB(,)33 b(this)f(will)e(b)s(e)j(explained)f(in) g(Section)h(8.3.2.)266 2328 y(Hence)h(\(24\))e(reads,)i(up)e(to)h(a)f (relativ)m(e)g(error)g(of)g(order)h Fw(O)s FB(\()p Fw(h)p FB(\):)411 2607 y Fw(')475 2622 y Ft(1)537 2607 y Fs(\000)23 b Fw(')701 2622 y Ft(2)823 2607 y FB(=)982 2520 y Fs(p)p 1065 2520 V 87 x FB(2)1124 2540 y Fw(a)1175 2504 y Ft(2)1214 2540 y Fw(b\031)p 1124 2584 192 4 v 1191 2676 a(h)413 2841 y(')477 2856 y Ft(1)539 2841 y FB(+)f Fw(')701 2856 y Ft(2)823 2841 y FB(=)83 b Fw(\031)26 b Fs(\000)c FB(2)p Fw(")1257 2856 y Ft(0)1296 2841 y FB(\()1344 2773 y(7)p 1344 2818 49 4 v 1344 2909 a(2)1420 2841 y(ln)o(\(2\()p Fw(a)1677 2799 y Ft(2)1738 2841 y Fs(\000)h Fw(b)1879 2799 y Ft(2)1919 2841 y FB(\)\))f Fs(\000)g FB(2)17 b(ln)f Fw(a)p FB(\))22 b(+)823 3116 y(+)982 3029 y Fs(p)p 1065 3029 V 87 x FB(2)1127 3049 y(2)p 1124 3093 57 4 v 1124 3185 a Fw(h)1206 2946 y Fu( )1285 3116 y Fs(\000)1372 3049 y FB(2)1421 2967 y Fs(p)p 1504 2967 294 4 v 82 x Fw(a)1555 3020 y Ft(2)1617 3049 y Fs(\000)h Fw(b)1758 3020 y Ft(2)1798 2985 y(3)p 1372 3093 465 4 v 1580 3185 a FB(3)1869 3116 y Fs(\000)1969 3030 y(p)p 2052 3030 294 4 v 86 x Fw(a)2103 3088 y Ft(2)2165 3116 y Fs(\000)f Fw(b)2305 3088 y Ft(2)2345 3116 y Fw(b)2386 3075 y Ft(2)2448 3116 y Fs(\000)h Fw(ba)2640 3075 y Ft(2)2697 3116 y FB(arcsin)o(\()2999 3049 y Fw(b)p 2994 3093 52 4 v 2994 3185 a(a)3056 3116 y FB(\))3094 2946 y Fu(!)3221 3116 y Fw(;)120 3424 y FB(then)33 b(w)m(e)h(apply)e(\(47\))g(and)h(w)m(e)g(get:)120 3627 y Fy(Prop)s(osition)j(2)48 b Fp(The)35 b(solutions)f Fw(")1484 3642 y Ft(0)1558 3627 y Fp(of:)361 3833 y FB(1)p 162 3878 447 4 v 162 3898 a Fs(p)p 245 3898 364 4 v 82 x FB(1)22 b(+)g Fw(e)459 3951 y Ft(2)p Fv(\031)r(")570 3960 y Fr(0)635 3901 y FB(cos)q(\()814 3833 y Fw(a)865 3797 y Ft(2)905 3833 y Fw(b\031)p 814 3878 192 4 v 857 3969 a FB(2)p Fw(h)1015 3901 y FB(\))83 b(=)g(cos)1442 3760 y Fu(\022)1515 3901 y Fw(\031)26 b Fs(\000)d FB(2)p Fw(")1791 3916 y Ft(0)1846 3760 y Fu(\022)1930 3833 y FB(7)p 1930 3878 49 4 v 1930 3969 a(2)2005 3901 y(ln)o(\(2\()p Fw(a)2262 3860 y Ft(2)2324 3901 y Fs(\000)f Fw(b)2464 3860 y Ft(2)2504 3901 y FB(\)\))g Fs(\000)h FB(2)17 b(ln)e Fw(a)2916 3760 y Fu(\023)3006 3901 y FB(+)285 b(\(50\))1136 4203 y(+)1305 4053 y Fs(p)p 1388 4053 V 82 x FB(2)p 1305 4180 132 4 v 1343 4271 a Fw(h)1463 4032 y Fu(")1521 4203 y Fs(\000)1608 4135 y FB(2)1657 4054 y Fs(p)p 1740 4054 294 4 v 81 x Fw(a)1791 4107 y Ft(2)1853 4135 y Fs(\000)23 b Fw(b)1994 4107 y Ft(2)2034 4072 y(3)p 1608 4180 465 4 v 1817 4271 a FB(3)2105 4203 y Fs(\000)2205 4116 y(p)p 2288 4116 294 4 v 87 x Fw(a)2339 4174 y Ft(2)2401 4203 y Fs(\000)f Fw(b)2541 4174 y Ft(2)2581 4203 y Fw(b)2622 4162 y Ft(2)2684 4203 y Fs(\000)h Fw(ba)2876 4162 y Ft(2)2933 4203 y FB(arcsin\()3236 4135 y Fw(b)p 3231 4180 52 4 v 3231 4271 a(a)3292 4203 y FB(\))3330 4032 y Fu(#)3410 4203 y FB(+)1136 4505 y(+)93 b Fw(")1351 4520 y Ft(0)1406 4505 y FB(ln)16 b Fw(h)23 b FB(+)f(arg)17 b(\000\()1943 4438 y(1)p 1943 4482 49 4 v 1943 4573 a(2)2024 4505 y(+)22 b Fw(i")2201 4520 y Ft(0)2240 4505 y FB(\))2278 4365 y Fu(\023)120 4801 y Fp(c)-5 b(orr)g(esp)g(ond)34 b(to)h(the)g (eigenvalues)e Fw(\025h)28 b FB(=)1640 4716 y Fu(p)p 1739 4716 418 4 v 1739 4801 a FB(2\()p Fw(a)1877 4772 y Ft(2)1939 4801 y Fs(\000)22 b Fw(b)2079 4772 y Ft(2)2119 4801 y FB(\))p Fw(")2203 4816 y Ft(0)2242 4801 y Fw(h)35 b Fp(of)g(the)g(Schr\177)-50 b(odinger)33 b(op)-5 b(er)g(ator)927 5085 y Fw(H)36 b FB(=)27 b Fs(\000)1234 5018 y FB(1)p 1234 5063 49 4 v 1234 5154 a(2)1293 5085 y Fw(h)1349 5044 y Ft(2)1427 5018 y Fw(d)1478 4982 y Ft(2)p 1399 5063 146 4 v 1399 5154 a Fw(dx)1505 5125 y Ft(2)1576 5085 y FB(+)22 b Fw(V)g FB(\()p Fw(x)p FB(\))28 b(=)g Fw(x)2071 5044 y Ft(2)2110 5085 y FB(\(\()p Fw(x)23 b Fs(\000)f Fw(b)p FB(\))2442 5044 y Ft(2)2504 5085 y Fs(\000)h Fw(a)2655 5044 y Ft(2)2695 5085 y FB(\))120 5336 y Fp(up)36 b(to)f(a)g(r)-5 b(elative)35 b(err)-5 b(or)36 b(of)f(or)-5 b(der)35 b Fw(O)s FB(\()p Fw(h)p FB(\))g Fp(\(r)-5 b(elative)35 b(me)-5 b(ans)34 b(r)-5 b(elative)35 b(to)h(the)f(closest)g(eigen-)120 5457 y(value\).)1781 5712 y FB(22)p eop %%Page: 23 23 23 22 bop 120 407 a FB(If)27 b(w)m(e)g(w)m(an)m(t)h(to)e(get)h(the)g(n) m(umerical)e(v)-5 b(alues)27 b(of)f(the)h(eigen)m(v)-5 b(alues,)28 b(w)m(e)g(are)e(left)g(to)g(solv)m(e)h(\(50\).)120 527 y(In)36 b(app)s(endix)h(A,)g(w)m(e)g(will)d(compare)i(the)g (corresp)s(onding)g(eigen)m(v)-5 b(alues)36 b Fw(\025h)g FB(to)g(the)h(eigen-)120 648 y(v)-5 b(alue)34 b(that)f(w)m(e)j (calculate)d(using)g(purely)i(n)m(umerical)d(tec)m(hnics)j (\(Runge-Kutta's)g(metho)s(d)120 768 y(here\))g(to)g(sho)m(w)h(the)f (accuracy)h(of)e(the)h(singular)f(Bohr-Sommerfeld)e(quan)m(tization)i (rules.)120 888 y(The)29 b(semi-classical)c(metho)s(d)i(is)g(v)m(ery)i (useful)f(for)f(small)f(v)-5 b(alues)27 b(of)h Fw(h)f FB(b)s(ecause)j(the)e(compu-)120 1009 y(tation)k(time)g(is)h(essen)m (tially)g(indep)s(enden)m(t)h(of)f Fw(h)p FB(,)h(as)g(it)e(gro)m(wths)i (linearly)e(for)g(the)i(Runge-)120 1129 y(Kutta)c(metho)s(d)g(since)h (w)m(e)h(ha)m(v)m(e)f(to)g(c)m(ho)s(ose)g(a)f(step)i(of)e(size)g Fw("h)h FB(\(therefore)g(w)m(e)g(m)m(ust)g(mak)m(e)120 1249 y(1)p Fw(=)p FB(\()p Fw("h)p FB(\))h(steps\))120 1509 y Fy(8.3.2)112 b(Equalit)m(y)36 b Fw(I)954 1524 y Fv(\015)990 1536 y Fn(d)1059 1509 y FB(=)27 b Fw(I)1205 1524 y Fv(\015)1241 1532 y Fn(g)120 1694 y FB(The)e(equalit)m(y)f Fw(I)718 1709 y Fv(\015)754 1717 y Fn(g)822 1694 y FB(=)k Fw(I)969 1709 y Fv(\015)1005 1721 y Fn(d)1069 1694 y FB(for)c(p)s(olynomial)c(p)s(oten)m(tials)j(of)g(degree)i(4)f(can)g(b)s (e)g(sho)m(wn)i(directly)-8 b(.)120 1814 y(F)g(rom)25 b(\(10\),)i(w)m(e)h(ha)m(v)m(e)g(to)e(sho)m(w)i(that)e Fw(A)1582 1829 y Ft(+)1642 1814 y FB(\()p Fw(E)6 b FB(\))k Fs(\000)g Fw(A)1966 1829 y FC(\000)2025 1814 y FB(\()p Fw(E)c FB(\))28 b(=)f(constan)m(t)q(,)h(where)g Fw(A)3075 1829 y FC(\006)3134 1814 y FB(\()p Fw(E)6 b FB(\))p Fw(;)43 b(E)34 b(<)120 1935 y FB(0)p Fw(;)f FB(stand)h(for)f(the)g(areas)h(of)f (the)h(t)m(w)m(o)g(comp)s(onen)m(ts)f(of)g Fs(f)p FB(\()p Fw(x;)17 b(\030)5 b FB(\))p Fw(=\030)2550 1899 y Ft(2)2611 1935 y FB(+)22 b Fw(V)g FB(\()p Fw(x)p FB(\))29 b Fs(\024)g Fw(E)6 b Fs(g)p FB(.)46 b(Let)33 b Fw(\015)3481 1950 y FC(\006)120 2055 y FB(denote)g(the)g(b)s(order)g(of)f(these)i(t)m(w)m (o)f(domains,)f(one)g(has:)1498 2252 y Fw(dA)1622 2267 y FC(\006)p 1498 2296 183 4 v 1525 2387 a Fw(dE)1718 2319 y FB(=)1822 2183 y Fu(Z)1877 2409 y Fv(\015)1913 2418 y Fh(\006)1996 2252 y Fw(dx)p 1996 2296 107 4 v 2026 2387 a(\030)2145 2319 y(:)1195 b FB(\(51\))120 2618 y(The)33 b(1-form)641 2579 y Fv(dx)p 641 2595 77 4 v 662 2652 a(\030)758 2618 y FB(is)f(holomorphic)d(on)j(the)g(smo)s(oth)f (holomorphic)f(pro)5 b(jectiv)m(e)33 b(compacti\014-)120 2753 y(cation)f(of)h(the)h(curv)m(e)h Fw(\030)1003 2716 y Ft(2)1065 2753 y FB(+)22 b Fw(V)g FB(\()p Fw(x)p FB(\))29 b(=)g Fw(E)6 b FB(.)46 b(This)33 b(curv)m(e)i(is)e(a)g(torus)h(if)e Fw(V)55 b FB(is)33 b(a)g(p)s(olynomial)c(of)120 2873 y(degree)g(4,)g(hence)h(the)f(curv)m(es)i Fw(\015)1301 2888 y Ft(+)1388 2873 y FB(and)d Fw(\015)1624 2888 y FC(\000)1711 2873 y FB(are)h(homotopic)e(\(for)g(they)j(are)e(non)h (degenerate)120 2993 y(and)k(they)g(don't)g(in)m(tersect\),)g(whic)m(h) g(completes)g(the)g(pro)s(of)f(of)g(\(51\).)120 3326 y Fx(9)161 b(The)53 b(triple)i(w)l(ell)f(p)t(oten)l(tial.)120 3545 y FB(Same)38 b(con)m(text)h(as)f(in)g(section)g(8,)h(but)g Fw(V)59 b FB(is)38 b(a)g(p)s(oten)m(tial)e(with)i(three)h(w)m(ells)e (so)i(that)f(the)120 3666 y(corresp)s(onding)32 b(saddle)h(p)s(oin)m (ts)f(are)h(at)f(the)h(same)g(heigh)m(t.)780 4978 y @beginspecial @setspecial %%BeginDocument: Vtriple.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -13.0 163.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 6412 m -1000 -1000 l 9826 -1000 l 9826 6412 l cp clip 0.03000 0.03000 sc % Polyline 7.500 slw gs clippath 8328 3570 m 8448 3600 l 8328 3630 l 8490 3630 l 8490 3570 l cp clip n 675 3600 m 8475 3600 l gs col0 s gr gr % arrowhead n 8328 3570 m 8448 3600 l 8328 3630 l col0 s % Polyline gs clippath 3570 1047 m 3600 927 l 3630 1047 l 3630 885 l 3570 885 l cp clip n 3600 5400 m 3600 900 l gs col0 s gr gr % arrowhead n 3570 1047 m 3600 927 l 3630 1047 l col0 s % Polyline n 450 1425 m 452 1426 l 457 1430 l 465 1435 l 478 1444 l 496 1456 l 518 1472 l 544 1490 l 574 1511 l 606 1534 l 640 1558 l 673 1583 l 707 1608 l 740 1633 l 771 1658 l 801 1682 l 830 1705 l 856 1728 l 881 1751 l 905 1774 l 927 1796 l 948 1818 l 968 1841 l 987 1864 l 1006 1888 l 1025 1913 l 1040 1933 l 1055 1955 l 1070 1977 l 1085 2000 l 1100 2024 l 1115 2049 l 1130 2075 l 1145 2102 l 1160 2129 l 1175 2158 l 1191 2188 l 1206 2219 l 1221 2251 l 1236 2284 l 1251 2317 l 1266 2351 l 1281 2386 l 1296 2421 l 1310 2456 l 1324 2492 l 1337 2528 l 1350 2564 l 1363 2600 l 1376 2636 l 1388 2673 l 1400 2709 l 1411 2745 l 1422 2781 l 1432 2817 l 1443 2853 l 1453 2889 l 1463 2925 l 1471 2958 l 1479 2991 l 1488 3024 l 1496 3058 l 1504 3093 l 1512 3128 l 1520 3164 l 1529 3201 l 1537 3238 l 1545 3276 l 1553 3314 l 1561 3353 l 1569 3392 l 1577 3432 l 1585 3471 l 1593 3511 l 1601 3551 l 1609 3591 l 1617 3631 l 1625 3671 l 1632 3710 l 1640 3749 l 1647 3787 l 1655 3825 l 1662 3861 l 1669 3898 l 1677 3933 l 1684 3967 l 1691 4001 l 1697 4034 l 1704 4065 l 1711 4096 l 1718 4127 l 1724 4156 l 1731 4185 l 1738 4213 l 1747 4250 l 1756 4287 l 1766 4324 l 1776 4359 l 1786 4394 l 1797 4429 l 1807 4463 l 1818 4496 l 1830 4529 l 1841 4560 l 1853 4591 l 1865 4621 l 1877 4649 l 1889 4677 l 1901 4703 l 1913 4727 l 1925 4750 l 1937 4771 l 1948 4791 l 1960 4809 l 1971 4826 l 1982 4841 l 1993 4854 l 2004 4867 l 2014 4878 l 2025 4888 l 2038 4898 l 2050 4906 l 2063 4914 l 2076 4920 l 2089 4924 l 2103 4927 l 2117 4928 l 2131 4928 l 2146 4927 l 2160 4924 l 2175 4919 l 2190 4913 l 2204 4905 l 2219 4896 l 2233 4886 l 2247 4875 l 2261 4862 l 2274 4849 l 2287 4835 l 2300 4820 l 2312 4804 l 2325 4788 l 2336 4771 l 2348 4754 l 2360 4736 l 2372 4717 l 2384 4697 l 2396 4676 l 2409 4654 l 2422 4630 l 2435 4606 l 2448 4582 l 2462 4556 l 2475 4531 l 2488 4505 l 2502 4478 l 2515 4452 l 2528 4426 l 2541 4401 l 2554 4376 l 2566 4351 l 2578 4327 l 2590 4304 l 2602 4281 l 2614 4259 l 2625 4238 l 2638 4214 l 2650 4191 l 2663 4168 l 2676 4145 l 2689 4122 l 2703 4099 l 2717 4076 l 2731 4053 l 2745 4030 l 2759 4008 l 2773 3985 l 2787 3964 l 2801 3943 l 2815 3922 l 2829 3902 l 2842 3884 l 2854 3866 l 2867 3848 l 2879 3832 l 2890 3817 l 2901 3802 l 2913 3788 l 2927 3769 l 2942 3750 l 2957 3732 l 2973 3715 l 2988 3698 l 3003 3681 l 3019 3666 l 3034 3651 l 3049 3638 l 3063 3626 l 3077 3616 l 3091 3607 l 3103 3600 l 3115 3595 l 3127 3590 l 3138 3588 l 3147 3586 l 3156 3586 l 3166 3587 l 3176 3589 l 3186 3593 l 3196 3598 l 3207 3604 l 3219 3613 l 3230 3623 l 3242 3634 l 3255 3647 l 3267 3661 l 3280 3677 l 3293 3694 l 3307 3713 l 3321 3732 l 3335 3753 l 3350 3775 l 3362 3793 l 3374 3811 l 3387 3831 l 3400 3852 l 3414 3874 l 3429 3897 l 3444 3921 l 3460 3945 l 3476 3971 l 3493 3997 l 3510 4023 l 3527 4050 l 3544 4077 l 3561 4103 l 3578 4129 l 3595 4155 l 3611 4179 l 3627 4203 l 3642 4226 l 3657 4248 l 3672 4269 l 3686 4289 l 3699 4307 l 3713 4325 l 3732 4350 l 3750 4373 l 3768 4394 l 3786 4415 l 3804 4433 l 3822 4450 l 3839 4466 l 3856 4479 l 3872 4491 l 3887 4501 l 3902 4509 l 3915 4515 l 3928 4520 l 3940 4523 l 3952 4524 l 3963 4525 l 3972 4525 l 3981 4523 l 3991 4521 l 4001 4517 l 4010 4513 l 4020 4507 l 4031 4500 l 4041 4491 l 4052 4481 l 4062 4470 l 4073 4457 l 4084 4443 l 4095 4428 l 4106 4412 l 4117 4395 l 4128 4377 l 4139 4358 l 4150 4338 l 4159 4321 l 4168 4304 l 4177 4286 l 4187 4267 l 4197 4247 l 4207 4226 l 4218 4205 l 4229 4182 l 4241 4159 l 4253 4135 l 4265 4110 l 4277 4086 l 4289 4061 l 4301 4037 l 4313 4012 l 4325 3989 l 4337 3965 l 4349 3943 l 4360 3921 l 4371 3900 l 4382 3880 l 4392 3861 l 4402 3843 l 4413 3825 l 4423 3807 l 4434 3789 l 4445 3772 l 4456 3756 l 4468 3740 l 4479 3725 l 4491 3710 l 4503 3697 l 4515 3684 l 4527 3672 l 4539 3662 l 4552 3652 l 4564 3644 l 4577 3637 l 4589 3631 l 4601 3627 l 4614 3623 l 4626 3621 l 4638 3621 l 4650 3621 l 4663 3622 l 4675 3625 l 4688 3629 l 4701 3634 l 4714 3640 l 4728 3647 l 4743 3656 l 4759 3665 l 4775 3677 l 4791 3689 l 4809 3703 l 4826 3719 l 4844 3735 l 4863 3752 l 4882 3771 l 4900 3790 l 4919 3810 l 4938 3830 l 4957 3851 l 4976 3873 l 4994 3895 l 5013 3917 l 5031 3939 l 5050 3963 l 5066 3983 l 5082 4003 l 5099 4025 l 5116 4047 l 5134 4069 l 5152 4093 l 5170 4117 l 5189 4141 l 5209 4167 l 5229 4192 l 5249 4218 l 5270 4244 l 5291 4270 l 5312 4296 l 5333 4321 l 5354 4346 l 5375 4370 l 5395 4394 l 5416 4417 l 5436 4439 l 5455 4460 l 5475 4480 l 5494 4499 l 5513 4517 l 5531 4534 l 5550 4550 l 5570 4567 l 5590 4583 l 5611 4598 l 5632 4612 l 5653 4625 l 5674 4638 l 5697 4650 l 5719 4661 l 5742 4670 l 5765 4679 l 5788 4686 l 5811 4692 l 5834 4697 l 5857 4700 l 5879 4702 l 5902 4703 l 5923 4702 l 5945 4701 l 5965 4697 l 5986 4693 l 6006 4687 l 6025 4680 l 6044 4672 l 6063 4663 l 6080 4653 l 6097 4642 l 6114 4630 l 6131 4616 l 6149 4601 l 6167 4585 l 6185 4568 l 6203 4549 l 6221 4528 l 6239 4507 l 6257 4484 l 6275 4460 l 6293 4435 l 6311 4409 l 6328 4382 l 6345 4355 l 6362 4326 l 6378 4298 l 6393 4269 l 6408 4240 l 6423 4211 l 6437 4182 l 6450 4152 l 6463 4123 l 6475 4093 l 6488 4063 l 6498 4036 l 6508 4009 l 6518 3981 l 6528 3953 l 6538 3924 l 6548 3895 l 6557 3865 l 6568 3834 l 6578 3802 l 6588 3771 l 6598 3738 l 6609 3706 l 6619 3673 l 6630 3640 l 6641 3607 l 6652 3574 l 6663 3542 l 6674 3510 l 6685 3478 l 6696 3448 l 6707 3418 l 6719 3388 l 6730 3360 l 6741 3333 l 6753 3306 l 6764 3281 l 6776 3256 l 6788 3232 l 6800 3210 l 6813 3188 l 6826 3165 l 6841 3142 l 6855 3120 l 6871 3099 l 6887 3078 l 6905 3057 l 6923 3037 l 6942 3017 l 6962 2997 l 6983 2978 l 7005 2959 l 7028 2941 l 7051 2922 l 7076 2905 l 7101 2888 l 7127 2871 l 7154 2855 l 7181 2840 l 7209 2825 l 7237 2810 l 7265 2797 l 7294 2783 l 7323 2771 l 7352 2758 l 7382 2746 l 7413 2735 l 7443 2724 l 7475 2713 l 7502 2703 l 7529 2694 l 7557 2685 l 7586 2676 l 7617 2667 l 7649 2658 l 7682 2648 l 7717 2638 l 7754 2628 l 7794 2618 l 7835 2607 l 7879 2596 l 7926 2584 l 7974 2572 l 8025 2559 l 8078 2546 l 8133 2533 l 8189 2519 l 8246 2506 l 8303 2492 l 8359 2479 l 8413 2466 l 8465 2454 l 8512 2443 l 8555 2433 l 8593 2425 l 8625 2417 l 8650 2411 l 8670 2407 l 8684 2404 l 8693 2402 l 8698 2400 l 8700 2400 l gs col0 s gr $F2psEnd rs %%EndDocument @endspecial 2807 4544 a Fn(x)1533 3850 y(V)13 b Fr(\()p Fn(x)p Fr(\))1119 5181 y FB(Figure)32 b(13:)43 b(a)32 b(triple)f(w)m(ell)h(p)s(oten)m(tial.)1781 5712 y(23)p eop %%Page: 24 24 24 23 bop 654 1152 a @beginspecial @setspecial %%BeginDocument: triple.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -27.0 196.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-iso isovec ReEncode /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 5650 m -1000 -1000 l 8526 -1000 l 8526 5650 l cp clip 0.04200 0.04200 sc % Arc 15.000 slw gs n 1912.3 3621.2 1087.5 -178.9 -21.4 arc gs col0 s gr gr % Arc gs n 1901.0 3311.2 1114.1 165.0 23.2 arcn gs col0 s gr gr % Arc gs n 4162.5 3656.2 1031.9 -155.3 -24.7 arc gs col0 s gr gr % Arc gs n 4200.0 3182.1 1167.9 146.6 33.4 arcn gs col0 s gr gr % Arc gs n 6375.0 3492.2 867.2 -162.1 -17.9 arc gs col0 s gr gr % Arc gs n 6412.5 3225.0 1050.7 145.2 34.8 arcn gs col0 s gr gr % Arc gs n 6887.5 3568.8 464.6 -47.7 33.5 arc gs col0 s gr gr % Arc gs clippath 6596 3050 m 6353 2998 l 6592 2930 l 6268 2941 l 6272 3061 l cp clip n 6466.3 3495.7 522.8 66.5 -108.5 arcn gs col0 s gr gr % arrowhead n 6596 3050 m 6353 2998 l 6592 2930 l col0 s % Arc gs clippath 3722 3224 m 3551 3403 l 3618 3165 l 3458 3447 l 3562 3506 l cp clip n 4117.1 3614.4 614.5 -8.4 -164.5 arcn gs col0 s gr gr % arrowhead n 3722 3224 m 3551 3403 l 3618 3165 l col0 s % Arc gs clippath 1452 4000 m 1672 4112 l 1425 4117 l 1741 4190 l 1768 4073 l cp clip n 1706.2 3543.8 581.6 -110.8 88.2 arcn gs col0 s gr gr % arrowhead n 1452 4000 m 1672 4112 l 1425 4117 l col0 s % Polyline n 2925 3225 m 3225 3825 l gs col0 s gr % Polyline n 5175 3825 m 5550 3225 l gs col0 s gr % Polyline n 5100 3225 m 5550 3825 l gs col0 s gr % Polyline n 675 3525 m 975 3525 l gs col0 s gr % Polyline n 4050 2400 m 4050 2850 l gs col0 s gr % Polyline n 4125 2400 m 4125 2850 l gs col0 s gr % Polyline n 7050 3225 m 7275 3075 l gs col0 s gr % Polyline n 7125 3300 m 7350 3150 l gs col0 s gr % Polyline n 2925 3750 m 3225 3225 l gs col0 s gr % Polyline n 675 3600 m 975 3600 l gs col0 s gr $F2psEnd rs %%EndDocument @endspecial 2762 417 a Fv(c)2793 394 y Fr(+)2893 1047 y Fv(c)2924 1024 y Fh(\000)898 864 y Fv(\013)1003 365 y(a)1040 341 y Fh(\000)1029 1152 y Fv(a)1066 1129 y Fr(+)1843 1152 y Fv(x)1974 391 y(b)2004 368 y Fh(\000)1554 444 y Fv(b)1584 420 y Fr(+)2158 785 y Fv(\021)1791 680 y(\014)2736 759 y(\015)-1401 b(")669 1356 y FB(Figure)32 b(14:)43 b(the)33 b(triple)e(w)m(ell)h(p)s(oten)m(tial)e(in)i(the)h(phase)h (space.)266 1746 y(W)-8 b(e)33 b(construct)h(a)f(maximal)c(tree)k (\(see)h(\014gure)f(14\))f(with)h(7)f(edges)i(denoted)g(b)m(y)f Fw(a)3293 1710 y FC(\006)3353 1746 y FB(,)f Fw(b)3453 1710 y FC(\006)3513 1746 y FB(,)120 1866 y Fw(c)162 1830 y FC(\006)252 1866 y FB(and)g Fw(x)p FB(.)44 b(The)32 b(holonom)m(y)e(equations)i(corresp)s(onding)f(to)g(the)h(three)g (cycles)h Fw(\013)q FB(,)e Fw(\014)37 b FB(and)32 b Fw(\015)120 1987 y FB(are:)952 2201 y Fw(a)1003 2160 y Ft(+)1090 2201 y FB(=)c Fw(a)1245 2160 y FC(\000)1304 2201 y Fw(=h)1409 2216 y Fv(\013)1458 2201 y Fw(;)115 b(b)1641 2160 y Ft(+)1728 2201 y FB(=)27 b Fw(b)1872 2160 y FC(\000)1932 2201 y Fw(=h)2037 2216 y Fv(\014)2084 2201 y Fw(;)114 b(c)2267 2160 y Ft(+)2354 2201 y FB(=)27 b Fw(c)2499 2160 y FC(\000)2558 2201 y Fw(=h)2663 2216 y Fv(\015)120 2416 y FB(Let)k Fw(")f FB(and)h Fw(\021)j FB(denote)d(the)g(semi-classical)d(in)m(v)-5 b(arian)m(ts)30 b(of)g(the)h(t)m(w)m(o)g(v)m(ertices,)i(the)e(follo)m (wing)120 2536 y(relations)g(hold:)737 2644 y Fu(\022)852 2723 y Fw(a)903 2687 y FC(\000)880 2844 y Fw(x)1004 2644 y Fu(\023)1105 2784 y FB(=)c Fw(T)14 b FB(\()p Fw(")p FB(\))1418 2644 y Fu(\022)1537 2723 y Fw(b)1578 2687 y Ft(+)1532 2844 y Fw(a)1583 2808 y Ft(+)1684 2644 y Fu(\023)1774 2784 y Fw(;)1915 2644 y Fu(\022)2030 2723 y Fw(b)2071 2687 y FC(\000)2030 2844 y Fw(c)2072 2808 y FC(\000)2173 2644 y Fu(\023)2274 2784 y FB(=)27 b Fw(T)14 b FB(\()p Fw(\021)t FB(\))2593 2644 y Fu(\022)2707 2723 y Fw(c)2749 2687 y Ft(+)2730 2844 y Fw(x)2849 2644 y Fu(\023)120 3051 y FB(Hence:)952 3278 y Fu(\022)1066 3358 y Fw(T)g FB(\()p Fw(")p FB(\))157 b(0)1138 3478 y(0)e Fw(T)14 b FB(\()p Fw(\021)t FB(\))1581 3278 y Fu(\023)1671 3159 y(0)1671 3334 y(B)1671 3394 y(B)1671 3458 y(@)1805 3238 y Fw(b)1846 3201 y Ft(+)1800 3358 y Fw(a)1851 3322 y Ft(+)1805 3478 y Fw(c)1847 3442 y Ft(+)1828 3599 y Fw(x)1952 3159 y Fu(1)1952 3334 y(C)1952 3394 y(C)1952 3458 y(A)2061 3419 y Fs(\000)2161 3159 y Fu(0)2161 3334 y(B)2161 3394 y(B)2161 3458 y(@)2290 3238 y Fw(a)2341 3201 y FC(\000)2317 3358 y Fw(x)2294 3478 y(b)2335 3442 y FC(\000)2294 3599 y Fw(c)2336 3563 y FC(\000)2441 3159 y Fu(1)2441 3334 y(C)2441 3394 y(C)2441 3458 y(A)2556 3419 y FB(=)28 b(0)120 3806 y(Since:)956 3914 y Fu(0)956 4089 y(B)956 4149 y(B)956 4213 y(@)1085 3992 y Fw(a)1136 3956 y FC(\000)1112 4113 y Fw(x)1090 4233 y(b)1131 4197 y FC(\000)1089 4354 y Fw(c)1131 4317 y FC(\000)1237 3914 y Fu(1)1237 4089 y(C)1237 4149 y(C)1237 4213 y(A)1351 4174 y FB(=)1455 3914 y Fu(0)1455 4089 y(B)1455 4149 y(B)1455 4213 y(@)1611 3992 y FB(0)110 b Fw(h)1826 4007 y Fv(\013)1985 3992 y FB(0)e(0)1611 4113 y(0)138 b(0)g(0)108 b(1)1584 4233 y Fw(h)1640 4248 y Fv(\014)1798 4233 y FB(0)138 b(0)108 b(0)1611 4354 y(0)138 b(0)112 b Fw(h)2015 4369 y Fv(\015)2142 4354 y FB(0)2232 3914 y Fu(1)2232 4089 y(C)2232 4149 y(C)2232 4213 y(A)2336 3914 y(0)2336 4089 y(B)2336 4149 y(B)2336 4213 y(@)2470 3992 y Fw(b)2511 3956 y Ft(+)2465 4113 y Fw(a)2516 4077 y Ft(+)2470 4233 y Fw(c)2512 4197 y Ft(+)2492 4354 y Fw(x)2617 3914 y Fu(1)2617 4089 y(C)2617 4149 y(C)2617 4213 y(A)120 4562 y FB(the)33 b(system)h(has)f(a)f(non-trivial)d(solution)i(if)h(and)h (only)f(if:)732 4949 y(det)884 4689 y Fu(0)884 4865 y(B)884 4924 y(B)884 4988 y(@)971 4809 y(\022)1086 4888 y Fw(T)14 b FB(\()p Fw(")p FB(\))157 b(0)1158 5009 y(0)d Fw(T)14 b FB(\()p Fw(\021)t FB(\))1601 4809 y Fu(\023)1697 4949 y Fs(\000)1796 4689 y Fu(0)1796 4865 y(B)1796 4924 y(B)1796 4988 y(@)1952 4768 y FB(0)110 b Fw(h)2167 4783 y Fv(\013)2326 4768 y FB(0)e(0)1952 4888 y(0)139 b(0)e(0)108 b(1)1925 5009 y Fw(h)1981 5024 y Fv(\014)2140 5009 y FB(0)137 b(0)108 b(0)1952 5129 y(0)139 b(0)111 b Fw(h)2356 5144 y Fv(\015)2483 5129 y FB(0)2574 4689 y Fu(1)2574 4865 y(C)2574 4924 y(C)2574 4988 y(A)2661 4689 y(1)2661 4865 y(C)2661 4924 y(C)2661 4988 y(A)2776 4949 y FB(=)27 b(0)120 5342 y(Let)33 b Fs(E)42 b FB(and)33 b Fs(N)48 b FB(denote)33 b(the)h(common)e(factors)h(of)f(the)i(co)s(e\016cien)m(ts)g(of)f(the)g (matrices)g Fw(T)14 b FB(\()p Fw(")p FB(\))120 5463 y(and)37 b Fw(T)14 b FB(\()p Fw(\021)t FB(\))37 b(de\014ned)i(b)m(y)f(\(19\))f (for)f Fs(E)46 b FB(and)38 b(a)f(similar)d(form)m(ula)h(for)i Fs(N)15 b FB(.)57 b(Dividing)35 b(the)i(\014rst)1781 5712 y(24)p eop %%Page: 25 25 25 24 bop 120 407 a FB(t)m(w)m(o)33 b(lines)f(of)g(the)h(determinan)m (t)f(b)m(y)i Fs(E)41 b FB(and)32 b(the)h(last)f(t)m(w)m(o)h(lines)f(b)m (y)i Fs(N)15 b FB(,)32 b(w)m(e)h(get:)885 545 y Fu(\014)885 605 y(\014)885 665 y(\014)885 724 y(\014)885 784 y(\014)885 844 y(\014)885 904 y(\014)885 964 y(\014)960 616 y FB(1)247 b Fw(ie)1334 580 y FC(\000)p Fv("\031)1491 616 y Fs(\000)1601 577 y Fv(h)1642 585 y Fn(\013)p 1601 593 85 4 v 1622 650 a FC(E)1778 616 y FB(0)475 b(0)960 736 y Fw(ie)1038 700 y FC(\000)p Fv("\031)1256 736 y FB(1)e(0)2312 697 y FC(\000)p Ft(1)p 2312 713 91 4 v 2336 771 a FC(E)970 818 y(\000)p Fv(h)1066 830 y Fn(\014)p 970 848 138 4 v 1004 905 a FC(N)1256 871 y FB(0)g(1)i Fw(ie)2380 835 y FC(\000)p Fv(\021)r(\031)960 1002 y FB(0)247 b(0)473 b Fw(ie)1856 966 y FC(\000)p Fv(\021)r(\031)2019 1002 y Fs(\000)2128 953 y Fv(h)2169 961 y Fn(\015)p 2128 979 81 4 v 2134 1036 a FC(N)2302 1002 y FB(1)2562 545 y Fu(\014)2562 605 y(\014)2562 665 y(\014)2562 724 y(\014)2562 784 y(\014)2562 844 y(\014)2562 904 y(\014)2562 964 y(\014)2623 809 y FB(=)27 b(0)120 1211 y(No)m(w)33 b(w)m(e)h(expand)f(the)g(determinan)m (t)g(with)f(resp)s(ect)i(to)e(the)h(\014rst)g(column:)120 1472 y(\(1)22 b Fs(\000)g Fw(ie)406 1431 y FC(\000)p Fv(\021)r(\031)547 1472 y FB(\()p Fw(ie)663 1431 y FC(\000)p Fv(\021)r(\031)825 1472 y Fs(\000)935 1404 y Fw(h)991 1419 y Fv(\015)p 935 1449 101 4 v 937 1540 a Fs(N)1045 1472 y FB(\)\)\(1)g Fs(\000)g Fw(ie)1407 1431 y FC(\000)p Fv("\031)1543 1472 y FB(\()p Fw(ie)1659 1431 y FC(\000)p Fv("\031)1816 1472 y Fs(\000)1925 1404 y Fw(h)1981 1419 y Fv(\013)p 1925 1449 106 4 v 1947 1540 a Fs(E)2041 1472 y FB(\)\))g(+)2247 1404 y Fw(h)2303 1419 y Fv(\014)p 2247 1449 104 4 v 2250 1540 a Fs(N)2360 1472 y FB(\()p Fw(ie)2476 1431 y FC(\000)p Fv("\031)2633 1472 y Fs(\000)2743 1404 y Fw(h)2799 1419 y Fv(\013)p 2743 1449 106 4 v 2765 1540 a Fs(E)2858 1472 y FB(\))2906 1404 y Fs(\000)p FB(1)p 2906 1449 127 4 v 2939 1540 a Fs(E)3042 1472 y FB(\()p Fw(ie)3158 1431 y FC(\000)p Fv(\021)r(\031)3321 1472 y Fs(\000)3430 1404 y Fw(h)3486 1419 y Fv(\015)p 3430 1449 101 4 v 3432 1540 a Fs(N)3541 1472 y FB(\))27 b(=)h(0)120 1714 y(De\014ning:)1094 1974 y Fw(A)g FB(=)g Fw(e)1344 1933 y FC(\000)p Fv("\031)1501 1974 y FB(+)22 b Fw(i)1642 1906 y(h)1698 1921 y Fv(\013)p 1642 1951 106 4 v 1664 2042 a Fs(E)1757 1974 y Fw(;)115 b(C)34 b FB(=)28 b Fw(e)2152 1933 y FC(\000)p Fv(\021)r(\031)2314 1974 y FB(+)22 b Fw(i)2455 1906 y(h)2511 1921 y Fv(\015)p 2455 1951 101 4 v 2457 2042 a Fs(N)3367 1974 y FB(\(52\))120 2216 y(w)m(e)34 b(rewrite)e(the)h(previous)g(equation)g(as:)1087 2476 y(\(1)22 b(+)g Fw(e)1339 2435 y FC(\000)p Fv(\021)r(\031)1479 2476 y Fw(C)7 b FB(\)\(1)21 b(+)h Fw(e)1845 2435 y FC(\000)p Fv("\031)1980 2476 y Fw(A)p FB(\))28 b(=)2232 2408 y Fs(\000)p Fw(h)2365 2423 y Fv(\014)p 2232 2453 181 4 v 2244 2544 a Fs(N)15 b(E)2423 2476 y Fw(AC)801 b FB(\(53\))120 2718 y(W)-8 b(e)35 b(w)m(an)m(t)g(to)g(sho)m(w)h(that)e(this)g(complex) g(equation)h(reduces)h(to)e(a)h(real)e(equation)i(for)f(real)120 2838 y(v)-5 b(alues)30 b(of)g Fw(E)6 b FB(.)43 b(F)-8 b(or)29 b(this)h(w)m(e)h(will)d(pro)m(v)m(e)k(that)e(the)g(mo)s(dulus)f (of)h(b)s(oth)g(sides)h(are)f(equal.)43 b(Let)120 2958 y(us)33 b(in)m(tro)s(duce)g(the)g(follo)m(wing)d(notations:)968 3175 y(~)-59 b Fw(\013)28 b FB(=)g(arg)17 b Fw(h)1361 3190 y Fv(\013)1433 3175 y Fs(\000)23 b FB(arg)17 b Fs(E)9 b Fw(;)118 b FB(~)-53 b Fw(\015)33 b FB(=)27 b(arg)18 b Fw(h)2286 3190 y Fv(\015)2352 3175 y Fs(\000)23 b FB(arg)17 b Fs(N)680 b FB(\(54\))120 3391 y(Using)32 b(this)g(notation)g(w)m(e)h (ma)m(y)g(rewrite:)665 3608 y Fw(A)28 b FB(=)f Fw(e)914 3566 y FC(\000)p Fv("\031)1071 3608 y FB(+)1169 3520 y Fs(p)p 1252 3520 384 4 v 88 x FB(1)22 b(+)g Fw(e)1466 3579 y FC(\000)p Ft(2)p Fv("\031)1636 3608 y Fw(e)1681 3566 y Fv(i)7 b Ft(~)-42 b Fv(\013)1755 3608 y Fw(;)114 b(C)35 b FB(=)27 b Fw(e)2149 3566 y FC(\000)p Fv(\021)r(\031)2311 3608 y FB(+)2409 3520 y Fs(p)p 2492 3520 390 4 v 88 x FB(1)22 b(+)g Fw(e)2706 3579 y FC(\000)p Ft(2)p Fv(\021)r(\031)2881 3608 y Fw(e)2926 3566 y Fv(i)r Ft(~)-37 b Fv(\015)120 3824 y FB(since)33 b Fs(jE)9 b(j)27 b FB(=)g(1)p Fw(=)705 3742 y Fs(p)p 788 3742 384 4 v 82 x FB(1)22 b(+)g Fw(e)1002 3795 y FC(\000)p Ft(2)p Fv("\031)1172 3824 y FB(.)43 b(Hence:)863 4040 y(1)22 b(+)g Fw(e)1077 3999 y FC(\000)p Fv("\031)1212 4040 y Fw(A)83 b FB(=)g(1)22 b(+)g Fw(e)1741 3999 y FC(\000)p Ft(2)p Fv("\031)1933 4040 y FB(+)g Fw(e)2076 3999 y FC(\000)p Fv(\031)r(")2211 3953 y Fs(p)p 2294 3953 V 87 x FB(1)g(+)g Fw(e)2508 4012 y FC(\000)p Ft(2)p Fv(\031)r(")2678 4040 y Fw(e)2723 3999 y Fv(i)7 b Ft(~)-42 b Fv(\013)1368 4186 y FB(=)1527 4099 y Fs(p)p 1610 4099 V 87 x FB(1)22 b(+)g Fw(e)1824 4157 y FC(\000)p Ft(2)p Fv("\031)1994 4186 y Fw(e)2039 4145 y Fv(i)7 b Ft(~)-42 b Fv(\013)p 2113 4106 74 4 v 2113 4186 a Fw(A)120 4402 y FB(and)33 b(Equation)f(\(53\))g(b)s(ecomes:)925 4668 y Fw(e)970 4627 y Fv(i)7 b Ft(~)-42 b Fv(\013)q Ft(+)p Fv(i)r Ft(~)-37 b Fv(\015)1163 4581 y Fs(p)p 1246 4581 384 4 v 87 x FB(1)22 b(+)g Fw(e)1460 4639 y FC(\000)p Ft(2)p Fv("\031)1630 4581 y Fs(p)p 1713 4581 390 4 v 87 x FB(1)g(+)g Fw(e)1927 4639 y FC(\000)p Ft(2)p Fv(\021)r(\031)p 2102 4588 74 4 v 2102 4668 a Fw(A)p 2176 4588 77 4 v 1 w(C)34 b FB(=)2394 4600 y Fs(\000)p Fw(h)2527 4615 y Fv(\014)p 2394 4645 181 4 v 2405 4736 a Fs(E)9 b(N)2584 4668 y Fw(AC)120 4910 y FB(It)39 b(is)f(no)m(w)h(clear)f(that)h(b)s (oth)f(sides)i(ha)m(v)m(e)g(the)f(same)f(mo)s(dulus,)i(therefore)f (this)f(equation)120 5030 y(reduces)c(to:)522 5246 y(~)-53 b Fw(\015)27 b FB(+)32 b(~)-59 b Fw(\013)29 b FB(=)e Fw(\031)f FB(+)c(arg)c Fw(h)1277 5261 y Fv(\014)1346 5246 y Fs(\000)23 b FB(arg)17 b Fs(E)31 b(\000)23 b FB(arg)17 b Fs(N)37 b FB(+)22 b(2)17 b(arg)g Fw(A)22 b FB(+)g(2)17 b(arg)g Fw(C)104 b FB(\(2)p Fw(\031)t FB(\))120 5463 y(Ev)m(en)m(tually)33 b(w)m(e)h(get)e(the:)1781 5712 y(25)p eop %%Page: 26 26 26 25 bop 120 407 a Fy(Prop)s(osition)36 b(3)48 b Fp(The)32 b(eigenvalues)f(of)h(the)g(triple)g(wel)5 b(l)32 b(p)-5 b(otential)31 b(Schr\177)-50 b(odinger)31 b(op)-5 b(er)g(ator)120 527 y(c)g(orr)g(esp)g(ond)34 b(to)h(the)g(solutions)f Fw(\025)h Fp(of:)585 734 y FB(arg)q(\()p Fw(h)816 749 y Fv(\013)866 734 y FB(\))22 b(+)g(arg)q(\()p Fw(h)1255 749 y Fv(\015)1299 734 y FB(\))28 b(=)f(arg)q(\()p Fw(h)1699 749 y Fv(\014)1746 734 y FB(\))c(+)f Fw(\031)k FB(+)c(2)17 b(arg)f Fw(A)23 b FB(+)f(2)17 b(arg)g Fw(C)106 b FB(\(2)p Fw(\031)t FB(\))292 b(\(55\))120 941 y Fp(up)31 b(to)h(a)f(r)-5 b(elative)31 b(err)-5 b(or)31 b(of)g(or)-5 b(der)31 b Fw(O)s FB(\()p Fw(h)1567 904 y FC(1)1641 941 y FB(\))p Fp(.)43 b(Her)-5 b(e)31 b Fw(h)2037 956 y Fv(\013)2087 941 y Fp(,)h Fw(h)2205 956 y Fv(\014)2283 941 y Fp(and)f Fw(h)2525 956 y Fv(\015)2601 941 y Fp(denote)g(the)g(holonomies)120 1061 y(of)k(the)f(3)h(cycles)g(and)f Fw(A)p Fp(,)h Fw(C)42 b Fp(as)34 b(de\014ne)-5 b(d)34 b(in)g(\(52\),)h(\(19\).)266 1253 y FB(Exercise:)p 266 1269 379 4 v 120 1373 a(Let)e Fw(a)28 b(>)f FB(0,)33 b Fw(b)28 b(>)f FB(0)33 b(and)f(de\014ne:)636 1580 y Fw(V)22 b FB(\()p Fw(x)p FB(\))28 b(=)g Fw(a)p FB(\()p Fw(x)1122 1539 y Ft(2)1184 1580 y Fs(\000)22 b FB(1\))1370 1539 y Ft(3)1432 1580 y Fs(\000)g Fw(b)p FB(\()p Fw(x)1665 1539 y Ft(2)1728 1580 y Fs(\000)g FB(1\))1914 1539 y Ft(2)1981 1580 y FB(=)28 b(\()p Fw(x)2178 1539 y Ft(2)2240 1580 y Fs(\000)22 b FB(1\))2426 1539 y Ft(2)2465 1580 y FB(\()p Fw(ax)2609 1539 y Ft(2)2672 1580 y Fs(\000)g Fw(a)g Fs(\000)h Fw(b)p FB(\))120 1787 y(Calculate)45 b(the)h(singular)e(Bohr-Sommerfeld)g(quan)m(tization)h(rules)h(and)g (compare)f(with)120 1907 y(purely)33 b(n)m(umerical)e(tec)m(hnics,)j (as)f(for)f(the)h(quadratic)f(p)s(oten)m(tial)f(of)h(section)h(8.3.)266 2028 y(Hin)m(ts:)120 2148 y(W)-8 b(e)33 b(ha)m(v)m(e:)400 2355 y Fw(V)479 2314 y FC(0)502 2355 y FB(\()p Fw(x)p FB(\))28 b(=)g(2)p Fw(x)p FB(\(3)p Fw(a)p FB(\()p Fw(x)1100 2314 y Ft(2)1162 2355 y Fs(\000)22 b FB(1\))1348 2314 y Ft(2)1410 2355 y Fs(\000)g FB(2)p Fw(b)p FB(\()p Fw(x)1692 2314 y Ft(2)1754 2355 y Fs(\000)h FB(1\)\))k(=)h(2)p Fw(x)p FB(\()p Fw(x)2307 2314 y Ft(2)2369 2355 y Fs(\000)23 b FB(1\)\(3)p Fw(ax)2749 2314 y Ft(2)2810 2355 y Fs(\000)g FB(3)p Fw(a)f Fs(\000)h FB(2)p Fw(b)p FB(\))120 2561 y(hence)39 b(this)e(p)s(oten)m(tial)e(has)j(\014v)m(e)g(critical)d(p)s (oin)m(ts:)53 b(0,)38 b Fs(\006)p FB(1,)h Fs(\006)2423 2476 y Fu(p)p 2523 2476 484 4 v 85 x FB(1)22 b(+)g(2)p Fw(b=)p FB(\(3)p Fw(a)p FB(\))o(.)58 b(The)38 b(corre-)120 2682 y(sp)s(onding)29 b(critical)e(v)-5 b(alues)29 b(are:)42 b Fs(\000)p Fw(a)16 b Fs(\000)g Fw(b)29 b(<)f FB(0,)i(0,)g Fs(\000)p FB(4)p Fw(b)2130 2646 y Ft(3)2170 2682 y Fw(=)p FB(\(27)p Fw(a)2406 2646 y Ft(2)2445 2682 y FB(\))d Fw(<)h FB(0)h(and)h(the)g(corresp)s(ond-)120 2802 y(ing)35 b(Hessians)i(are:) 50 b(6)p Fw(a)25 b FB(+)f(4)p Fw(b)34 b(>)g FB(0,)i Fs(\000)p FB(8)p Fw(b)f(<)e FB(0)j(and)g(24)p Fw(b)25 b FB(+)f(16)p Fw(b)2454 2766 y Ft(2)2493 2802 y Fw(=)p FB(\(3)p Fw(a)p FB(\))34 b Fw(>)f FB(0.)54 b(Hence)37 b Fw(V)58 b FB(has)120 2923 y(t)m(w)m(o)34 b(lo)s(cal)d(maxima)g(at)i Fs(\006)p FB(1)h(with)f Fw(V)21 b FB(\()p Fs(\006)p FB(1\))29 b(=)g(0.)46 b(It)33 b(is)g(p)s(ossible)g(to)g(calculate)f(analytically)120 3043 y(the)h(action)f(in)m(tegrals)f(since)i(for)f Fw(x)c Fs(2)g FB([)p Fs(\000)p FB(1)p Fw(;)17 b FB(1]:)934 3261 y Fw(W)d FB(\()p Fw(x)p FB(\))28 b(=)1302 3171 y Fu(p)p 1402 3171 288 4 v 90 x Fs(\000)p Fw(V)22 b FB(\()p Fw(x)p FB(\))28 b(=)g(\(1)22 b Fs(\000)g Fw(x)2084 3219 y Ft(2)2124 3261 y FB(\))2162 3174 y Fs(p)p 2245 3174 481 4 v 87 x Fw(b)h FB(+)f Fw(a)g Fs(\000)h Fw(ax)2686 3232 y Ft(2)120 3467 y FB(and)33 b(1)p Fw(=W)45 b FB(b)s(oth)33 b(admit)e(an)h (explicit)f(an)m(ti-deriv)-5 b(ativ)m(e.)120 3798 y Fx(10)161 b(The)53 b(Hill)k(Equation.)120 4017 y FB(In)33 b(this)f(section)h(w)m (e)g(are)g(concerned)h(with)e(the)h(Sc)m(hr\177)-49 b(odinger)33 b(op)s(erator)1401 4252 y(^)1376 4278 y Fw(H)i FB(=)28 b Fs(\000)1683 4210 y Fw(h)1739 4174 y Ft(2)p 1683 4255 96 4 v 1706 4346 a FB(2)1826 4210 y Fw(d)1877 4174 y Ft(2)p 1799 4255 146 4 v 1799 4346 a Fw(dx)1905 4317 y Ft(2)1976 4278 y FB(+)22 b Fw(V)g FB(\()p Fw(x)p FB(\))120 4510 y(where)53 b Fw(V)81 b FB(:)60 b Fq(R)70 b Fs(!)60 b Fq(R)i FB(is)51 b(a)g Fw(C)1354 4474 y FC(1)1480 4510 y FB(p)s(erio)s(dic)f(p)s(oten)m(tial)g(of)h(p)s(erio)s(d)f Fw(T)74 b(>)59 b FB(0)51 b(suc)m(h)i(that)120 4630 y(sup)267 4654 y Fv(x)p FC(2)p Fe(R)422 4630 y Fw(V)22 b FB(\()p Fw(x)p FB(\))28 b(=)f(0.)120 4917 y Fo(10.1)136 b(Hill's)46 b(Equation)g(sp)t(ectrum,)f(discriman)l(t)120 5102 y FB(Let)32 b(us)g(recall)e(some)h(w)m(ell)f(kno)m(wn)j(facts)f(ab)s(out) f(the)g(sp)s(ectrum)h(of)f(the)h(Hill)d(equation)i(and)120 5222 y(its)h(discriminan)m(t.)266 5342 y(The)25 b(op)s(erator)868 5317 y(^)843 5342 y Fw(H)31 b FB(is)23 b(essen)m(tially)h(self-adjoin)m (t)e(and)i(has)h(a)e(con)m(tin)m(uous)i(sp)s(ectrum)f(made)120 5463 y(of)32 b(the)h(union)f(of)g(in)m(terv)-5 b(als)32 b(called)f Fp(b)-5 b(ands)32 b FB(separed)i(b)m(y)f Fp(gaps)p FB(.)1781 5712 y(26)p eop %%Page: 27 27 27 26 bop 266 407 a FB(In)31 b(order)f(to)g(get)g(quan)m(titativ)m(e)g (informations)d(on)j(these)i(bands,)f(let)f(us)g(in)m(tro)s(duce)h(the) 120 527 y Fp(discriminant)39 b FB(function)h(\001\()p Fw(E)6 b FB(\).)67 b(Let)40 b Fw(P)1661 542 y Fv(E)1762 527 y FB(:)g Fq(C)1895 491 y Ft(2)1982 527 y Fs(!)g Fq(C)2188 491 y Ft(2)2274 527 y FB(b)s(e)g(the)h(linear)e(map)g(de\014ned)j(b)m (y)120 648 y Fw(P)183 663 y Fv(E)242 648 y FB(\()p Fw(u)p FB(\(0\))p Fw(;)17 b(u)561 611 y FC(0)583 648 y FB(\(0\)\))30 b(=)g(\()p Fw(u)p FB(\()p Fw(T)14 b FB(\))p Fw(;)j(u)1223 611 y FC(0)1244 648 y FB(\()p Fw(T)d FB(\)\))34 b(where)h Fw(u)f FB(is)f(the)i(unique)f(solution)f(of)g(\()2969 622 y(^)2944 648 y Fw(H)e Fs(\000)23 b Fw(E)6 b FB(\))p Fw(u)30 b FB(=)g(0.)120 768 y(It)j(is)f(easy)h(to)g(pro)m(v)m(e)g(that) g Fw(P)1195 783 y Fv(E)1287 768 y FB(has)g(determinan)m(t)f(1.)120 957 y Fy(De\014nition)k(4)49 b Fp(The)34 b FB(discriminan)m(t)f Fp(of)i(the)f(Hil)5 b(l)35 b(e)-5 b(quation)35 b(is)g(de\014ne)-5 b(d)33 b(by:)1411 1160 y FB(\001\()p Fw(E)6 b FB(\))28 b(=)f(trace)q(\()p Fw(P)2090 1175 y Fv(E)2149 1160 y FB(\))35 b Fw(:)266 1364 y FB(The)f(graph)e(of)g(\001\()p Fw(E)6 b FB(\))33 b(lo)s(oks)f(lik)m(e)g(\014gure)h(15.)864 2589 y @beginspecial @setspecial %%BeginDocument: hill.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -12.0 144.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-iso isovec ReEncode /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 4425 m -1000 -1000 l 6879 -1000 l 6879 4425 l cp clip 0.04200 0.04200 sc % Polyline 7.500 slw gs clippath 5553 2220 m 5673 2250 l 5553 2280 l 5715 2280 l 5715 2220 l cp clip n 300 2250 m 5700 2250 l gs col-1 s gr gr % arrowhead n 5553 2220 m 5673 2250 l 5553 2280 l col-1 s % Polyline gs clippath 1095 672 m 1125 552 l 1155 672 l 1155 510 l 1095 510 l cp clip n 1125 3375 m 1125 525 l gs col-1 s gr gr % arrowhead n 1095 672 m 1125 552 l 1155 672 l col-1 s % Polyline 15.000 slw n 450 1350 m 5625 1350 l gs col-1 s gr % Polyline n 375 3150 m 5550 3150 l gs col-1 s gr % Polyline 7.500 slw [60] 0 sd n 675 1350 m 675 2250 l gs col-1 s gr [] 0 sd % Polyline [60] 0 sd n 1485 3157 m 1500 2250 l gs col-1 s gr [] 0 sd % Polyline [60] 0 sd n 2377 3150 m 2400 2250 l gs col-1 s gr [] 0 sd % Polyline [60] 0 sd n 3075 1350 m 3075 2258 l gs col-1 s gr [] 0 sd % Polyline [60] 0 sd n 3795 1350 m 3825 2250 l gs col-1 s gr [] 0 sd % Polyline [60] 0 sd n 4200 3150 m 4200 2250 l gs col-1 s gr [] 0 sd % Polyline [60] 0 sd n 5100 3150 m 5100 2250 l gs col-1 s gr [] 0 sd % Polyline [60] 0 sd n 5452 1327 m 5475 2250 l gs col-1 s gr [] 0 sd % Polyline 30.000 slw n 675 2250 m 1500 2250 l gs col-1 s gr % Polyline n 2415 2265 m 3090 2258 l gs col-1 s gr % Polyline n 3832 2250 m 4185 2250 l gs col-1 s gr % Polyline n 5092 2235 m 5505 2220 l gs col-1 s gr % Polyline 7.500 slw n 450 450 m 450 452 l 451 455 l 453 462 l 456 473 l 460 488 l 465 509 l 471 535 l 479 567 l 489 604 l 500 647 l 512 695 l 525 747 l 539 803 l 555 862 l 570 924 l 587 988 l 604 1052 l 621 1117 l 638 1182 l 655 1246 l 672 1308 l 688 1370 l 704 1430 l 720 1487 l 736 1543 l 751 1597 l 766 1648 l 780 1698 l 794 1745 l 808 1790 l 821 1834 l 835 1876 l 848 1916 l 860 1955 l 873 1993 l 886 2029 l 899 2065 l 911 2100 l 924 2134 l 937 2167 l 950 2200 l 966 2240 l 983 2280 l 1000 2319 l 1017 2358 l 1035 2397 l 1053 2436 l 1071 2475 l 1090 2513 l 1110 2552 l 1130 2590 l 1150 2628 l 1170 2665 l 1191 2702 l 1212 2739 l 1234 2774 l 1255 2810 l 1277 2844 l 1298 2878 l 1320 2911 l 1341 2942 l 1363 2973 l 1384 3002 l 1405 3031 l 1425 3058 l 1446 3083 l 1466 3108 l 1485 3131 l 1504 3154 l 1523 3174 l 1542 3194 l 1560 3213 l 1578 3230 l 1595 3247 l 1613 3263 l 1635 3282 l 1657 3299 l 1679 3316 l 1701 3331 l 1724 3345 l 1746 3357 l 1769 3368 l 1792 3378 l 1815 3386 l 1838 3393 l 1861 3399 l 1884 3403 l 1907 3405 l 1930 3406 l 1953 3405 l 1975 3403 l 1997 3399 l 2018 3395 l 2039 3388 l 2060 3381 l 2080 3372 l 2100 3362 l 2119 3351 l 2138 3339 l 2156 3327 l 2175 3313 l 2191 3299 l 2207 3286 l 2223 3271 l 2240 3255 l 2257 3238 l 2273 3220 l 2290 3201 l 2308 3180 l 2325 3159 l 2343 3136 l 2361 3113 l 2379 3088 l 2397 3062 l 2414 3036 l 2432 3008 l 2450 2980 l 2468 2951 l 2485 2922 l 2502 2892 l 2518 2861 l 2535 2831 l 2551 2800 l 2566 2769 l 2581 2738 l 2596 2707 l 2610 2676 l 2623 2645 l 2637 2613 l 2650 2582 l 2663 2550 l 2674 2520 l 2686 2489 l 2697 2458 l 2709 2426 l 2720 2393 l 2732 2360 l 2743 2326 l 2755 2291 l 2766 2256 l 2778 2220 l 2790 2184 l 2801 2147 l 2813 2110 l 2825 2073 l 2837 2036 l 2848 2000 l 2860 1963 l 2872 1927 l 2883 1891 l 2895 1856 l 2906 1822 l 2917 1789 l 2928 1756 l 2939 1725 l 2950 1695 l 2961 1665 l 2972 1637 l 2983 1610 l 2993 1584 l 3004 1559 l 3014 1535 l 3025 1513 l 3041 1481 l 3057 1450 l 3074 1421 l 3091 1393 l 3109 1366 l 3127 1341 l 3146 1316 l 3165 1293 l 3185 1271 l 3205 1250 l 3225 1231 l 3245 1213 l 3265 1197 l 3285 1183 l 3304 1169 l 3323 1158 l 3341 1147 l 3359 1138 l 3376 1130 l 3393 1123 l 3409 1118 l 3425 1113 l 3442 1108 l 3459 1104 l 3476 1101 l 3493 1098 l 3509 1097 l 3526 1097 l 3543 1097 l 3559 1099 l 3575 1101 l 3591 1105 l 3607 1109 l 3621 1115 l 3636 1121 l 3649 1128 l 3661 1137 l 3673 1145 l 3684 1155 l 3694 1165 l 3704 1176 l 3713 1188 l 3720 1198 l 3726 1209 l 3733 1221 l 3739 1234 l 3745 1248 l 3751 1263 l 3758 1280 l 3764 1299 l 3770 1318 l 3776 1339 l 3782 1362 l 3788 1386 l 3793 1412 l 3799 1439 l 3805 1467 l 3811 1497 l 3817 1528 l 3824 1560 l 3830 1593 l 3836 1627 l 3842 1662 l 3849 1698 l 3855 1736 l 3863 1775 l 3868 1804 l 3873 1834 l 3879 1864 l 3884 1896 l 3890 1929 l 3897 1963 l 3904 1999 l 3911 2035 l 3918 2072 l 3926 2111 l 3934 2150 l 3942 2190 l 3951 2230 l 3960 2271 l 3969 2313 l 3979 2355 l 3989 2397 l 3999 2438 l 4010 2480 l 4020 2521 l 4031 2562 l 4042 2602 l 4054 2641 l 4065 2679 l 4077 2716 l 4089 2753 l 4100 2788 l 4112 2822 l 4125 2854 l 4137 2886 l 4149 2916 l 4162 2945 l 4174 2973 l 4188 3000 l 4204 3031 l 4220 3061 l 4238 3090 l 4255 3117 l 4274 3143 l 4293 3168 l 4313 3193 l 4333 3216 l 4354 3237 l 4375 3258 l 4397 3278 l 4419 3296 l 4442 3313 l 4464 3328 l 4487 3342 l 4509 3355 l 4532 3367 l 4554 3377 l 4576 3385 l 4597 3393 l 4618 3399 l 4639 3404 l 4658 3408 l 4678 3411 l 4697 3413 l 4715 3413 l 4733 3413 l 4750 3413 l 4770 3411 l 4789 3407 l 4809 3403 l 4828 3398 l 4847 3391 l 4866 3383 l 4885 3373 l 4903 3362 l 4922 3349 l 4940 3335 l 4958 3320 l 4975 3303 l 4992 3284 l 5009 3265 l 5025 3244 l 5040 3222 l 5054 3199 l 5068 3175 l 5081 3150 l 5094 3124 l 5105 3098 l 5117 3070 l 5127 3042 l 5138 3013 l 5145 2988 l 5153 2963 l 5161 2936 l 5168 2909 l 5176 2880 l 5183 2850 l 5190 2820 l 5197 2788 l 5204 2755 l 5211 2721 l 5218 2686 l 5225 2650 l 5232 2614 l 5238 2577 l 5245 2540 l 5251 2502 l 5257 2464 l 5263 2427 l 5269 2389 l 5275 2352 l 5281 2315 l 5286 2279 l 5291 2243 l 5296 2208 l 5301 2174 l 5306 2140 l 5311 2108 l 5316 2075 l 5320 2044 l 5325 2013 l 5330 1982 l 5334 1951 l 5339 1921 l 5344 1890 l 5348 1860 l 5353 1828 l 5359 1796 l 5364 1763 l 5370 1729 l 5376 1694 l 5382 1657 l 5388 1618 l 5395 1579 l 5402 1537 l 5410 1495 l 5417 1452 l 5425 1410 l 5432 1367 l 5439 1326 l 5446 1287 l 5453 1251 l 5458 1219 l 5463 1192 l 5467 1169 l 5470 1152 l 5472 1139 l 5474 1131 l 5475 1127 l 5475 1125 l gs col-1 s gr $F2psEnd rs %%EndDocument @endspecial 1063 1564 a Ft(\001\()p Fv(E)t Ft(\))1092 2566 y FC(\000)p Ft(2)1110 1834 y(+2)2714 2149 y Fv(E)1096 2792 y FB(Figure)f(15:)43 b(the)33 b(discriminan)m(t)d(\001\()p Fw(E)6 b FB(\).)266 3127 y(W)-8 b(e)45 b(de\014ne)h(the)g(p)s(erio)s (dic)d(sp)s(ectrum)i Fw(E)1823 3086 y Ft(+)1817 3152 y(1)1931 3127 y Fw(<)j Fs(\001)17 b(\001)g(\001)46 b(\024)j Fw(E)2423 3086 y Ft(+)2417 3155 y Fv(k)2531 3127 y Fs(\024)g(\001)17 b(\001)g(\001)59 b FB(as)45 b(the)h(sp)s(ectrum)120 3258 y(of)40 b(the)h(op)s(erator)841 3233 y(^)815 3258 y Fw(H)48 b FB(restricted)41 b(to)f(the)h(p)s(erio)s(dic)d(functions.)67 b(The)41 b Fw(E)2838 3217 y Ft(+)2832 3286 y Fv(k)2897 3258 y FB('s)g(are)g(precisely)120 3378 y(the)e(solutions)f(of)h (\001\()p Fw(E)1023 3342 y Ft(+)1082 3378 y FB(\))f(=)h(2.)62 b(W)-8 b(e)40 b(ha)m(v)m(e)g(a)e(similar)e(de\014nition)i(for)g(the)i (an)m(ti-p)s(erio)s(dic)120 3499 y(sp)s(ectrum)g Fw(E)631 3457 y FC(\000)625 3523 y Ft(1)730 3499 y Fs(\024)h(\001)17 b(\001)g(\001)38 b(\024)i Fw(E)1199 3457 y FC(\000)1193 3526 y Fv(k)1298 3499 y Fs(\024)g(\001)17 b(\001)g(\001)e FB(,)42 b(this)d(is)h(the)g(sp)s(ectrum)g(of)2672 3473 y(^)2646 3499 y Fw(H)47 b FB(restricted)41 b(to)e(an)m(ti-)120 3619 y(p)s(erio)s(dic)e(functions.)61 b(The)39 b Fw(E)1260 3578 y FC(\000)1254 3647 y Fv(k)1319 3619 y FB('s)g(are)f(the)h (solutions)e(of)h(\001\()p Fw(E)2492 3583 y FC(\000)2551 3619 y FB(\))g(=)f Fs(\000)p FB(2.)61 b(The)40 b(follo)m(wing)120 3739 y(inequalities)31 b(hold:)956 3943 y Fw(E)1034 3902 y Ft(+)1028 3967 y(1)1121 3943 y Fw(<)d(E)1303 3902 y FC(\000)1297 3967 y Ft(1)1389 3943 y Fs(\024)g Fw(E)1572 3902 y FC(\000)1566 3967 y Ft(2)1659 3943 y Fw(<)g(E)1841 3902 y Ft(+)1835 3967 y(2)1928 3943 y Fs(\024)g Fw(E)2111 3902 y Ft(+)2105 3967 y(3)2197 3943 y Fw(<)g(E)2379 3902 y FC(\000)2373 3967 y Ft(3)2466 3943 y Fs(\024)g(\001)17 b(\001)g(\001)120 4146 y FB(and)33 b(the)g(bands)g(are)g(giv)m(en)f(b)m (y:)1078 4349 y Fw(B)1152 4364 y Ft(2)p Fv(j)t FC(\000)p Ft(1)1341 4349 y FB(=)c([)p Fw(E)1550 4308 y Ft(+)1544 4375 y(2)p Fv(j)t FC(\000)p Ft(1)1706 4349 y Fw(;)17 b(E)1828 4308 y FC(\000)1822 4375 y Ft(2)p Fv(j)t FC(\000)p Ft(1)1984 4349 y FB(])p Fw(;)49 b(j)34 b FB(=)28 b(1)p Fw(;)17 b FB(2)p Fw(;)g Fs(\001)g(\001)g(\001)1183 4553 y Fw(B)1257 4568 y Ft(2)p Fv(j)1357 4553 y FB(=)27 b([)p Fw(E)1565 4511 y FC(\000)1559 4578 y Ft(2)p Fv(j)1631 4553 y Fw(;)17 b(E)1753 4511 y Ft(+)1747 4578 y(2)p Fv(j)1819 4553 y FB(])p Fw(;)49 b(j)34 b FB(=)28 b(1)p Fw(;)17 b FB(2)p Fw(;)g Fs(\001)g(\001)g(\001)46 b Fw(:)120 4741 y FB(More)30 b(generally)-8 b(,)29 b(the)i(sp)s(ectrum)f(of)1522 4715 y(^)1497 4741 y Fw(H)37 b FB(o)m(v)m(er)31 b Fw(k)s(T)14 b FB(-p)s(erio)s(dic)28 b(functions)i(is)f(the)h(union)f(of)h(the)120 4861 y(solutions)i(of:)43 b(\001\()p Fw(E)6 b FB(\))27 b(=)h(2)17 b(cos)1266 4817 y Ft(2)p Fv(\031)r(j)p 1266 4838 111 4 v 1302 4895 a(k)1386 4861 y FB(.)266 4981 y(The)45 b(sizes)e(of)g(the)h(bands)g(are)f(exp)s(onen)m(tially)g (small)d(for)j Fw(E)52 b(<)46 b FB(0)d(as)g Fw(h)j Fs(!)g FB(0)3281 4945 y Ft(+)3383 4981 y FB(and)120 5102 y(the)c(sizes)g(of)e (the)i(gaps)f(are)h(exp)s(onen)m(tially)e(small)f(for)i Fw(E)48 b(>)42 b FB(0.)70 b(W)-8 b(e)41 b(w)m(an)m(t)h(to)f(describ)s (e)120 5222 y(the)33 b(transition)e(b)s(et)m(w)m(een)j(this)e(t)m(w)m (o)h(regions,)f(for)g(this)g(w)m(e)h(will)d(compute)j(the)g(asymptotic) 120 5342 y(expansion)42 b(series)g(of)f(\001)1053 5357 y Ft(1)1093 5342 y FB(\()p Fw(\025)p FB(\))h(=)h(\001\()p Fw(h\025)p FB(\).)70 b(Moreo)m(v)m(er,)45 b(w)m(e)e(will)c(use)j(this)g (asymptotic)e(to)120 5463 y(describ)s(e)33 b(the)g(sp)s(ectrum)g(of)f Fw(H)40 b FB(restricted)33 b(to)g Fw(k)s(T)14 b FB(-p)s(erio)s(dic)30 b(functions.)1781 5712 y(27)p eop %%Page: 28 28 28 27 bop 120 407 a Fo(10.2)136 b(Semi-classical)53 b(asymptotic)g(of)e (the)h(discriminan)l(t)h(if)f(the)494 556 y(p)t(oten)l(tial)46 b(has)f(a)g(unique)g(maxim)l(um)h(p)t(er)e(p)t(erio)t(d.)120 741 y FB(In)25 b(this)f(section,)j(w)m(e)f(assume)f(that)f Fw(V)1510 705 y FC(\000)p Ft(1)1604 741 y FB(\(0\))j(=)h(2)p Fw(\031)t Fq(Z)22 b FB(and)i Fw(V)e FB("\(0\))27 b Fw(<)h FB(0,)e(e.g.)41 b Fw(V)21 b FB(\()p Fw(x)p FB(\))28 b(=)g(cos)17 b Fw(x)6 b Fs(\000)120 861 y FB(1.)45 b(Let)34 b Fw(\015)468 876 y FC(\006)559 861 y FB(denote)g(the)g(2)f(cycles)h(of)f Fw(T)1588 825 y Fv(?)1627 861 y FB(\()1712 822 y Fe(R)p 1675 838 123 4 v 1675 896 a Ft(2)p Fv(\031)r Fe(Z)1808 861 y FB(\))g(de\014ned)h(b)m(y)g Fw(\015)2402 876 y Ft(+)2461 861 y FB(\()p Fw(s)p FB(\))29 b(=)f(\()p Fw(s;)2844 776 y Fu(p)p 2944 776 327 4 v 85 x Fs(\000)p FB(2)p Fw(V)21 b FB(\()p Fw(s)p FB(\)\))p Fw(;)50 b FB(0)29 b Fs(\024)120 997 y Fw(s)f Fs(\024)g FB(2)p Fw(\031)36 b FB(and)d Fw(\015)680 1012 y FC(\000)738 997 y FB(\()p Fw(s)p FB(\))28 b(=)f(\(2)p Fw(\031)f Fs(\000)d Fw(s;)17 b Fs(\000)1426 912 y Fu(p)p 1525 912 557 4 v 1525 997 a Fs(\000)p FB(2)p Fw(V)22 b FB(\(2)p Fw(\031)k Fs(\000)d Fw(s)p FB(\)\))p Fw(;)49 b FB(0)27 b Fs(\024)h Fw(s)g Fs(\024)g FB(2)p Fw(\031)t FB(.)381 2779 y @beginspecial @setspecial %%BeginDocument: Vhill.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -15.0 228.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 6412 m -1000 -1000 l 9826 -1000 l 9826 6412 l cp clip 0.04200 0.04200 sc % Polyline 7.500 slw gs clippath 8328 3570 m 8448 3600 l 8328 3630 l 8490 3630 l 8490 3570 l cp clip n 675 3600 m 8475 3600 l gs col0 s gr gr % arrowhead n 8328 3570 m 8448 3600 l 8328 3630 l col0 s % Polyline gs clippath 3570 1047 m 3600 927 l 3630 1047 l 3630 885 l 3570 885 l cp clip n 3600 5400 m 3600 900 l gs col0 s gr gr % arrowhead n 3570 1047 m 3600 927 l 3630 1047 l col0 s % Polyline n 6825 3525 m 6825 3675 l gs col0 s gr % Polyline n 3600 3600 m 3603 3600 l 3610 3601 l 3623 3601 l 3641 3602 l 3665 3604 l 3692 3607 l 3723 3610 l 3754 3613 l 3785 3617 l 3815 3622 l 3843 3627 l 3868 3633 l 3891 3640 l 3912 3647 l 3930 3655 l 3947 3665 l 3961 3675 l 3975 3687 l 3988 3700 l 3998 3713 l 4008 3727 l 4018 3743 l 4027 3760 l 4036 3778 l 4045 3798 l 4053 3820 l 4062 3842 l 4070 3866 l 4078 3891 l 4086 3917 l 4094 3944 l 4101 3972 l 4109 4000 l 4117 4028 l 4125 4056 l 4133 4085 l 4141 4113 l 4149 4141 l 4157 4169 l 4166 4197 l 4175 4225 l 4184 4251 l 4193 4277 l 4203 4304 l 4214 4331 l 4225 4359 l 4236 4387 l 4248 4416 l 4261 4445 l 4274 4474 l 4288 4503 l 4302 4532 l 4316 4561 l 4330 4589 l 4345 4617 l 4359 4643 l 4373 4669 l 4387 4693 l 4400 4716 l 4414 4737 l 4427 4758 l 4439 4776 l 4452 4794 l 4463 4810 l 4475 4825 l 4484 4836 l 4493 4846 l 4502 4856 l 4511 4865 l 4520 4873 l 4529 4881 l 4538 4887 l 4547 4893 l 4556 4898 l 4565 4903 l 4573 4906 l 4582 4908 l 4591 4909 l 4600 4909 l 4609 4908 l 4618 4907 l 4626 4904 l 4635 4900 l 4643 4894 l 4651 4888 l 4659 4881 l 4667 4873 l 4675 4864 l 4682 4854 l 4690 4843 l 4697 4831 l 4704 4819 l 4711 4805 l 4718 4791 l 4725 4775 l 4733 4756 l 4741 4735 l 4749 4713 l 4757 4689 l 4766 4664 l 4774 4638 l 4783 4610 l 4792 4581 l 4801 4550 l 4811 4519 l 4820 4487 l 4830 4455 l 4839 4422 l 4849 4388 l 4859 4355 l 4868 4323 l 4878 4291 l 4888 4259 l 4897 4229 l 4907 4200 l 4916 4172 l 4926 4145 l 4935 4119 l 4944 4095 l 4953 4072 l 4963 4050 l 4974 4026 l 4985 4003 l 4996 3982 l 5008 3961 l 5021 3942 l 5033 3924 l 5046 3908 l 5060 3893 l 5074 3878 l 5088 3866 l 5102 3854 l 5116 3845 l 5130 3836 l 5144 3829 l 5158 3823 l 5172 3818 l 5186 3815 l 5199 3813 l 5212 3811 l 5225 3811 l 5237 3811 l 5250 3813 l 5265 3815 l 5281 3818 l 5297 3823 l 5313 3829 l 5330 3836 l 5347 3845 l 5365 3855 l 5383 3866 l 5402 3878 l 5420 3891 l 5439 3906 l 5457 3921 l 5475 3937 l 5493 3954 l 5511 3971 l 5528 3988 l 5545 4006 l 5563 4025 l 5578 4043 l 5594 4061 l 5610 4080 l 5627 4099 l 5645 4119 l 5663 4139 l 5681 4159 l 5700 4179 l 5720 4198 l 5739 4217 l 5759 4234 l 5779 4250 l 5798 4264 l 5817 4276 l 5836 4286 l 5855 4293 l 5873 4299 l 5890 4302 l 5908 4302 l 5925 4300 l 5941 4296 l 5956 4289 l 5972 4281 l 5989 4270 l 6005 4258 l 6022 4243 l 6040 4226 l 6057 4208 l 6075 4188 l 6093 4167 l 6111 4145 l 6129 4122 l 6146 4099 l 6164 4075 l 6181 4051 l 6197 4028 l 6213 4004 l 6229 3982 l 6244 3960 l 6259 3939 l 6273 3919 l 6288 3900 l 6305 3878 l 6322 3856 l 6339 3836 l 6357 3816 l 6374 3797 l 6392 3778 l 6410 3761 l 6429 3744 l 6447 3728 l 6464 3713 l 6482 3700 l 6499 3688 l 6515 3677 l 6531 3667 l 6546 3658 l 6560 3650 l 6574 3644 l 6588 3638 l 6605 3631 l 6622 3625 l 6639 3620 l 6658 3616 l 6679 3612 l 6701 3609 l 6725 3606 l 6750 3604 l 6774 3603 l 6795 3601 l 6811 3601 l 6820 3600 l 6824 3600 l 6825 3600 l gs col0 s gr % Polyline n 375 3600 m 378 3600 l 385 3601 l 398 3601 l 416 3602 l 440 3604 l 467 3607 l 498 3610 l 529 3613 l 560 3617 l 590 3622 l 618 3627 l 643 3633 l 666 3640 l 687 3647 l 705 3655 l 722 3665 l 736 3675 l 750 3687 l 763 3700 l 773 3713 l 783 3727 l 793 3743 l 802 3760 l 811 3778 l 820 3798 l 828 3820 l 837 3842 l 845 3866 l 853 3891 l 861 3917 l 869 3944 l 876 3972 l 884 4000 l 892 4028 l 900 4056 l 908 4085 l 916 4113 l 924 4141 l 932 4169 l 941 4197 l 950 4225 l 959 4251 l 968 4277 l 978 4304 l 989 4331 l 1000 4359 l 1011 4387 l 1023 4416 l 1036 4445 l 1049 4474 l 1063 4503 l 1077 4532 l 1091 4561 l 1105 4589 l 1120 4617 l 1134 4643 l 1148 4669 l 1162 4693 l 1175 4716 l 1189 4737 l 1202 4758 l 1214 4776 l 1227 4794 l 1238 4810 l 1250 4825 l 1259 4836 l 1268 4846 l 1277 4856 l 1286 4865 l 1295 4873 l 1304 4881 l 1313 4887 l 1322 4893 l 1331 4898 l 1340 4903 l 1348 4906 l 1357 4908 l 1366 4909 l 1375 4909 l 1384 4908 l 1393 4907 l 1401 4904 l 1410 4900 l 1418 4894 l 1426 4888 l 1434 4881 l 1442 4873 l 1450 4864 l 1457 4854 l 1465 4843 l 1472 4831 l 1479 4819 l 1486 4805 l 1493 4791 l 1500 4775 l 1508 4756 l 1516 4735 l 1524 4713 l 1532 4689 l 1541 4664 l 1549 4638 l 1558 4610 l 1567 4581 l 1576 4550 l 1586 4519 l 1595 4487 l 1605 4455 l 1614 4422 l 1624 4388 l 1634 4355 l 1643 4323 l 1653 4291 l 1663 4259 l 1672 4229 l 1682 4200 l 1691 4172 l 1701 4145 l 1710 4119 l 1719 4095 l 1728 4072 l 1738 4050 l 1749 4026 l 1760 4003 l 1771 3982 l 1783 3961 l 1796 3942 l 1808 3924 l 1821 3908 l 1835 3893 l 1849 3878 l 1863 3866 l 1877 3854 l 1891 3845 l 1905 3836 l 1919 3829 l 1933 3823 l 1947 3818 l 1961 3815 l 1974 3813 l 1987 3811 l 2000 3811 l 2012 3811 l 2025 3813 l 2040 3815 l 2056 3818 l 2072 3823 l 2088 3829 l 2105 3836 l 2122 3845 l 2140 3855 l 2158 3866 l 2177 3878 l 2195 3891 l 2214 3906 l 2232 3921 l 2250 3937 l 2268 3954 l 2286 3971 l 2303 3988 l 2320 4006 l 2338 4025 l 2353 4043 l 2369 4061 l 2385 4080 l 2402 4099 l 2420 4119 l 2438 4139 l 2456 4159 l 2475 4179 l 2495 4198 l 2514 4217 l 2534 4234 l 2554 4250 l 2573 4264 l 2592 4276 l 2611 4286 l 2630 4293 l 2648 4299 l 2665 4302 l 2683 4302 l 2700 4300 l 2716 4296 l 2731 4289 l 2747 4281 l 2764 4270 l 2780 4258 l 2797 4243 l 2815 4226 l 2832 4208 l 2850 4188 l 2868 4167 l 2886 4145 l 2904 4122 l 2921 4099 l 2939 4075 l 2956 4051 l 2972 4028 l 2988 4004 l 3004 3982 l 3019 3960 l 3034 3939 l 3048 3919 l 3063 3900 l 3080 3878 l 3097 3856 l 3114 3836 l 3132 3816 l 3149 3797 l 3167 3778 l 3185 3761 l 3204 3744 l 3222 3728 l 3239 3713 l 3257 3700 l 3274 3688 l 3290 3677 l 3306 3667 l 3321 3658 l 3335 3650 l 3349 3644 l 3363 3638 l 3380 3631 l 3397 3625 l 3414 3620 l 3433 3616 l 3454 3612 l 3476 3609 l 3500 3606 l 3525 3604 l 3549 3603 l 3570 3601 l 3586 3601 l 3595 3600 l 3599 3600 l 3600 3600 l gs col0 s gr % Polyline n 6825 3600 m 6826 3600 l 6830 3600 l 6839 3601 l 6854 3602 l 6875 3604 l 6898 3607 l 6921 3611 l 6943 3615 l 6963 3620 l 6981 3626 l 6997 3633 l 7012 3641 l 7025 3651 l 7038 3663 l 7046 3672 l 7055 3682 l 7063 3693 l 7072 3705 l 7081 3719 l 7091 3734 l 7101 3750 l 7111 3767 l 7122 3786 l 7134 3807 l 7146 3828 l 7158 3850 l 7171 3873 l 7184 3897 l 7198 3921 l 7212 3946 l 7227 3971 l 7242 3997 l 7258 4023 l 7275 4050 l 7287 4069 l 7299 4088 l 7312 4108 l 7325 4128 l 7340 4150 l 7355 4173 l 7372 4197 l 7390 4223 l 7409 4251 l 7429 4280 l 7451 4311 l 7474 4344 l 7499 4379 l 7524 4415 l 7551 4453 l 7579 4492 l 7607 4532 l 7635 4571 l 7663 4609 l 7689 4646 l 7713 4680 l 7735 4710 l 7754 4736 l 7769 4757 l 7781 4774 l 7790 4786 l 7796 4794 l 7799 4798 l 7800 4800 l gs col0 s gr $F2psEnd rs %%EndDocument @endspecial 3247 2171 a Fv(x)1461 1200 y(V)16 b Ft(\()p Fv(x)p Ft(\))2617 2224 y(2)p Fv(\031)-1153 b Ft(0)888 2982 y FB(Figure)31 b(16:)43 b(an)33 b(example)f(of)g(p)s(erio)s(dic)f (p)s(oten)m(tial.)120 3387 y Fy(Theorem)37 b(5)49 b Fp(The)30 b(holonomy)g(of)g Fw(\015)1493 3402 y Ft(+)1582 3387 y Fp(and)g Fw(\015)1818 3402 y FC(\000)1907 3387 y Fp(ar)-5 b(e)31 b(e)-5 b(qual.)43 b(L)-5 b(et)31 b Fw(\013)g Fp(b)-5 b(e)31 b(this)f(c)-5 b(ommon)29 b(value:)1418 3597 y Fw(\013)g FB(=)e Fw(e)1667 3529 y Fn(i)p Fr(\012)p 1668 3541 66 3 v 1682 3582 a Fn(h)1743 3556 y FC(\000)p Fv(i\025J)1934 3597 y FB(+)22 b Fw(O)s FB(\()p Fw(h)p FB(\))1125 b(\(56\))120 3796 y Fp(wher)-5 b(e)34 b FB(\012)28 b(=)597 3716 y Fu(R)644 3830 y Fv(\015)680 3839 y Fr(+)752 3796 y Fw(\030)5 b(dx)34 b Fp(and)g Fw(J)j FB(=)28 b(vp)1446 3716 y Fu(R)1493 3830 y Fv(\015)1529 3839 y Fr(+)1601 3796 y Fw(dt)p Fp(.)266 3929 y(L)-5 b(et)36 b Fw(")e Fp(b)-5 b(e)35 b(the)g(semi-classic)-5 b(al)32 b(invariant)i(of)h(the)g(critic)-5 b(al)34 b(p)-5 b(oint)35 b FB(\(0)p Fw(;)17 b FB(0\))p Fp(:)1123 4204 y Fw(")28 b FB(=)1337 4079 y FC(1)1300 4109 y Fu(X)1311 4319 y Fv(j)t Ft(=0)1461 4204 y Fw(")1507 4219 y Fv(j)1543 4204 y FB(\()p Fw(\025)p FB(\))p Fw(h)1732 4162 y Fv(j)1768 4204 y Fw(;)117 b(")1958 4219 y Ft(0)2024 4204 y FB(=)2290 4136 y Fw(\025)p 2138 4181 362 4 v 2138 4289 a Fs(j)p Fw(V)21 b FB("\(0\))p Fs(j)2456 4225 y Fr(1)p 2455 4237 31 3 v 2455 4278 a(2)2510 4204 y Fw(:)120 4503 y Fp(The)34 b(fol)5 b(lowing)34 b(r)-5 b(elation)34 b(holds)g(for)h Fs(j)p Fw(\025)p Fs(j)27 b(\024)h Fw(M)10 b Fp(:)311 4759 y FB(\001)392 4774 y Ft(1)432 4759 y FB(\()p Fw(\025)p FB(\))28 b(=)f(2)745 4671 y Fs(p)p 828 4671 384 4 v 88 x FB(1)22 b(+)g Fw(e)1042 4730 y FC(\000)p Ft(2)p Fv(\031)r(")1229 4759 y FB(cos)1359 4618 y Fu(\022)1433 4759 y FB(arg)17 b Fw(\013)23 b FB(+)f Fw(")17 b FB(ln)e Fw(h)22 b FB(+)g(arg)c(\000\() 2368 4691 y(1)p 2368 4736 49 4 v 2368 4827 a(2)2448 4759 y(+)k Fw(i")p FB(\))2663 4618 y Fu(\023)2737 4759 y FB(+)p Fw(O)s FB(\()p Fw(h)2985 4717 y FC(1)3059 4759 y FB(\))34 b Fw(;)209 b FB(\(57\))120 5009 y Fp(henc)-5 b(e)205 5240 y FB(\001)286 5255 y Ft(1)326 5240 y FB(\()p Fw(\025)p FB(\))27 b(=)h(2)639 5152 y Fs(p)p 722 5152 419 4 v 88 x FB(1)21 b(+)h Fw(e)935 5211 y FC(\000)p Ft(2)p Fv(\031)r(")1101 5220 y Fr(0)1157 5240 y FB(cos)1287 5099 y Fu(\022)1361 5240 y Fs(\000)1448 5172 y FB(\012)p 1448 5217 71 4 v 1455 5308 a Fw(h)1551 5240 y Fs(\000)g Fw(\025J)31 b FB(+)22 b Fw(")1936 5255 y Ft(0)1992 5240 y FB(ln)16 b Fw(h)22 b FB(+)g(arg)c(\000\()2529 5172 y(1)p 2529 5217 49 4 v 2529 5308 a(2)2610 5240 y(+)k Fw(i")2787 5255 y Ft(0)2826 5240 y FB(\))2864 5099 y Fu(\023)2937 5240 y FB(+)p Fw(O)s FB(\()p Fw(h)17 b FB(ln)e Fw(h)p FB(\))35 b Fw(:)3367 5427 y FB(\(58\))1781 5712 y(28)p eop %%Page: 29 29 29 28 bop 120 407 a FB(This)44 b(result)g(extends)i(to)e(the)g Fw(C)1391 371 y FC(1)1510 407 y FB(case)h(the)f(result)g(of)f(M\177)-49 b(arz)45 b(\([14)o(]\))f(whic)m(h)h(w)m(as)g(v)-5 b(alid)120 527 y(under)33 b(analyticit)m(y)e(assumptions.)120 692 y Fy(Corollary)36 b(1)49 b Fp(It)34 b(fol)5 b(lows)34 b(imme)-5 b(diately)34 b(that)h(in)g(the)g(r)-5 b(e)g(gion)34 b(wher)-5 b(e)34 b Fw(\025)28 b Fs(!)f FB(0)p Fp(,)35 b(we)f(have:)680 908 y FB(\001)761 923 y Ft(1)801 908 y FB(\()p Fw(\025)p FB(\))27 b(=)h(2)1114 821 y Fs(p)p 1197 821 49 4 v 87 x FB(2)16 b(cos)1393 767 y Fu(\022)1476 841 y FB(\012)p 1476 885 71 4 v 1483 976 a Fw(h)1579 908 y FB(+)1754 841 y Fw(\025)h FB(ln)e Fw(h)p 1687 885 362 4 v 1687 993 a Fs(j)p Fw(V)21 b FB("\(0\))p Fs(j)2005 929 y Fr(1)p 2004 941 31 3 v 2004 982 a(2)2058 767 y Fu(\023)2132 908 y FB(+)p Fw(O)s FB(\()p Fw(\025)p FB(\))g(+)h Fw(O)s FB(\()p Fw(h)17 b FB(ln)e Fw(h)p FB(\))35 b Fw(:)387 b FB(\(59\))120 1139 y Fp(Henc)-5 b(e)35 b(the)f(gaps)h(and)f(b)-5 b(ands)34 b(have)g(asymptotic)-5 b(al)5 b(ly)35 b(the)g(same)f(length)g Fw(l)r Fp(:)1469 1374 y Fw(l)c FB(=)1642 1307 y Fw(\031)t(h)p Fs(j)p Fw(V)21 b FB("\(0\))p Fs(j)2075 1243 y Fr(1)p 2074 1255 V 2074 1296 a(2)p 1642 1351 477 4 v 1743 1443 a FB(2)p Fs(j)c FB(ln)e Fw(h)p Fs(j)2164 1374 y Fw(:)120 1589 y Fp(Pr)-5 b(o)g(of.{)392 2776 y @beginspecial @setspecial %%BeginDocument: phasehill.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -8.0 166.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-iso isovec ReEncode /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 4943 m -1000 -1000 l 9337 -1000 l 9337 4943 l cp clip 0.04200 0.04200 sc % Polyline 7.500 slw gs clippath 8178 2669 m 8298 2699 l 8178 2729 l 8340 2730 l 8340 2670 l cp clip n 225 2625 m 8325 2700 l gs col-1 s gr gr % arrowhead n 8178 2669 m 8298 2699 l 8178 2729 l col-1 s % Polyline n 3225 1575 m 3450 1575 l 3375 1725 l gs col-1 s gr % Polyline n 4255 3435 m 4095 3625 l 4345 3765 l gs col-1 s gr % Polyline n 375 1665 m 377 1664 l 382 1663 l 391 1661 l 405 1657 l 425 1653 l 450 1647 l 479 1639 l 514 1631 l 551 1622 l 591 1613 l 633 1604 l 675 1595 l 718 1586 l 759 1578 l 799 1570 l 837 1563 l 874 1557 l 909 1552 l 942 1548 l 973 1545 l 1004 1542 l 1033 1540 l 1061 1539 l 1089 1539 l 1116 1540 l 1143 1541 l 1170 1543 l 1195 1546 l 1221 1549 l 1247 1553 l 1273 1558 l 1299 1563 l 1326 1569 l 1354 1576 l 1382 1584 l 1411 1593 l 1440 1603 l 1469 1614 l 1499 1626 l 1529 1639 l 1559 1653 l 1589 1668 l 1620 1684 l 1650 1701 l 1680 1718 l 1709 1737 l 1738 1756 l 1767 1777 l 1796 1798 l 1823 1819 l 1851 1842 l 1878 1865 l 1904 1888 l 1930 1913 l 1955 1938 l 1980 1964 l 2005 1991 l 2026 2014 l 2046 2038 l 2067 2063 l 2088 2089 l 2109 2115 l 2130 2143 l 2152 2171 l 2173 2200 l 2196 2230 l 2218 2261 l 2241 2293 l 2264 2326 l 2288 2359 l 2311 2392 l 2336 2427 l 2360 2461 l 2385 2496 l 2409 2531 l 2434 2566 l 2459 2601 l 2485 2636 l 2510 2671 l 2535 2705 l 2560 2739 l 2586 2772 l 2611 2805 l 2636 2837 l 2661 2868 l 2686 2898 l 2711 2928 l 2736 2957 l 2761 2985 l 2786 3012 l 2812 3039 l 2837 3065 l 2863 3090 l 2890 3116 l 2918 3141 l 2947 3166 l 2976 3190 l 3006 3214 l 3037 3238 l 3068 3261 l 3101 3283 l 3134 3305 l 3168 3327 l 3203 3347 l 3239 3368 l 3275 3387 l 3312 3406 l 3349 3425 l 3387 3442 l 3425 3459 l 3463 3475 l 3502 3490 l 3540 3504 l 3579 3517 l 3617 3529 l 3655 3540 l 3693 3550 l 3731 3559 l 3768 3568 l 3805 3575 l 3841 3581 l 3877 3587 l 3912 3591 l 3948 3595 l 3982 3598 l 4017 3600 l 4052 3601 l 4084 3601 l 4117 3601 l 4150 3600 l 4183 3599 l 4217 3596 l 4251 3593 l 4285 3589 l 4320 3584 l 4355 3579 l 4391 3573 l 4427 3565 l 4463 3557 l 4500 3548 l 4537 3539 l 4574 3528 l 4611 3516 l 4649 3504 l 4686 3491 l 4723 3477 l 4760 3462 l 4797 3447 l 4834 3431 l 4870 3414 l 4905 3397 l 4940 3379 l 4975 3361 l 5008 3342 l 5042 3323 l 5074 3303 l 5106 3283 l 5138 3262 l 5169 3241 l 5199 3219 l 5229 3197 l 5258 3175 l 5288 3152 l 5315 3129 l 5342 3106 l 5370 3082 l 5397 3058 l 5425 3033 l 5452 3007 l 5480 2980 l 5508 2953 l 5537 2925 l 5565 2896 l 5594 2866 l 5622 2836 l 5651 2806 l 5680 2775 l 5710 2743 l 5739 2711 l 5768 2679 l 5797 2646 l 5826 2614 l 5855 2581 l 5884 2549 l 5912 2517 l 5940 2484 l 5968 2453 l 5996 2421 l 6023 2390 l 6050 2360 l 6076 2330 l 6102 2301 l 6128 2273 l 6153 2245 l 6177 2218 l 6201 2192 l 6225 2166 l 6249 2141 l 6272 2117 l 6295 2093 l 6318 2070 l 6346 2043 l 6373 2017 l 6400 1992 l 6428 1967 l 6456 1942 l 6484 1918 l 6512 1895 l 6541 1872 l 6570 1849 l 6600 1827 l 6630 1805 l 6660 1784 l 6690 1764 l 6721 1744 l 6751 1725 l 6782 1707 l 6812 1690 l 6843 1673 l 6873 1658 l 6903 1643 l 6932 1630 l 6961 1617 l 6990 1605 l 7018 1594 l 7046 1584 l 7073 1575 l 7100 1567 l 7126 1560 l 7152 1553 l 7178 1548 l 7203 1543 l 7228 1538 l 7257 1534 l 7286 1531 l 7315 1529 l 7345 1527 l 7375 1527 l 7407 1527 l 7440 1529 l 7474 1531 l 7510 1535 l 7548 1539 l 7588 1545 l 7630 1551 l 7674 1558 l 7719 1566 l 7765 1575 l 7812 1584 l 7857 1593 l 7901 1602 l 7943 1611 l 7980 1619 l 8013 1626 l 8040 1632 l 8062 1637 l 8077 1641 l 8087 1643 l 8093 1644 l 8095 1645 l gs col-1 s gr % Polyline n 305 3155 m 307 3156 l 312 3160 l 321 3166 l 334 3175 l 353 3187 l 376 3203 l 404 3221 l 435 3242 l 469 3264 l 504 3287 l 540 3310 l 577 3333 l 612 3354 l 646 3375 l 679 3394 l 711 3412 l 741 3428 l 769 3443 l 797 3457 l 823 3469 l 849 3480 l 874 3489 l 899 3498 l 923 3506 l 948 3513 l 974 3520 l 999 3526 l 1025 3531 l 1052 3536 l 1079 3540 l 1107 3543 l 1136 3546 l 1166 3548 l 1196 3550 l 1226 3550 l 1257 3550 l 1288 3549 l 1319 3548 l 1350 3545 l 1381 3542 l 1411 3539 l 1442 3534 l 1471 3529 l 1500 3523 l 1528 3517 l 1556 3510 l 1583 3502 l 1609 3494 l 1634 3486 l 1659 3476 l 1683 3467 l 1706 3457 l 1728 3447 l 1750 3436 l 1772 3424 l 1794 3412 l 1817 3398 l 1840 3384 l 1862 3369 l 1886 3353 l 1909 3335 l 1932 3317 l 1956 3298 l 1979 3278 l 2003 3257 l 2026 3236 l 2050 3213 l 2073 3190 l 2096 3166 l 2119 3142 l 2141 3117 l 2163 3092 l 2185 3067 l 2207 3040 l 2228 3014 l 2249 2987 l 2270 2960 l 2291 2932 l 2312 2903 l 2329 2879 l 2347 2854 l 2364 2829 l 2382 2803 l 2401 2776 l 2420 2748 l 2439 2720 l 2458 2690 l 2478 2661 l 2499 2630 l 2520 2599 l 2541 2567 l 2562 2535 l 2584 2503 l 2606 2470 l 2629 2437 l 2651 2404 l 2674 2371 l 2697 2338 l 2719 2306 l 2742 2274 l 2765 2243 l 2787 2212 l 2810 2182 l 2832 2152 l 2854 2123 l 2875 2096 l 2897 2069 l 2918 2043 l 2940 2017 l 2961 1993 l 2982 1970 l 3002 1947 l 3023 1925 l 3047 1901 l 3071 1878 l 3095 1855 l 3120 1833 l 3145 1812 l 3171 1791 l 3197 1771 l 3224 1751 l 3252 1732 l 3279 1713 l 3308 1695 l 3337 1678 l 3366 1661 l 3395 1645 l 3425 1630 l 3455 1616 l 3484 1602 l 3514 1589 l 3544 1577 l 3573 1566 l 3602 1556 l 3631 1546 l 3660 1537 l 3688 1529 l 3716 1522 l 3744 1515 l 3771 1509 l 3798 1503 l 3825 1498 l 3852 1493 l 3881 1489 l 3910 1485 l 3939 1481 l 3969 1478 l 4000 1475 l 4031 1473 l 4062 1471 l 4095 1470 l 4127 1469 l 4160 1469 l 4194 1469 l 4227 1470 l 4261 1472 l 4295 1473 l 4328 1476 l 4361 1479 l 4394 1482 l 4427 1486 l 4458 1491 l 4489 1496 l 4520 1501 l 4549 1507 l 4578 1513 l 4605 1520 l 4633 1527 l 4659 1534 l 4685 1542 l 4710 1550 l 4735 1559 l 4760 1568 l 4784 1577 l 4809 1588 l 4833 1599 l 4858 1611 l 4883 1624 l 4909 1638 l 4934 1653 l 4960 1668 l 4986 1685 l 5012 1703 l 5038 1722 l 5064 1741 l 5090 1762 l 5116 1784 l 5142 1806 l 5167 1829 l 5193 1853 l 5218 1877 l 5243 1902 l 5267 1928 l 5292 1954 l 5316 1981 l 5340 2009 l 5364 2037 l 5388 2067 l 5412 2097 l 5431 2121 l 5450 2146 l 5469 2171 l 5489 2198 l 5510 2225 l 5530 2253 l 5551 2282 l 5573 2312 l 5595 2342 l 5618 2374 l 5641 2406 l 5664 2438 l 5688 2471 l 5712 2505 l 5737 2539 l 5761 2573 l 5787 2608 l 5812 2642 l 5837 2677 l 5862 2711 l 5888 2745 l 5913 2779 l 5938 2812 l 5963 2845 l 5988 2877 l 6013 2908 l 6038 2939 l 6062 2969 l 6086 2998 l 6109 3026 l 6133 3053 l 6156 3079 l 6179 3104 l 6202 3129 l 6224 3152 l 6247 3175 l 6274 3201 l 6301 3227 l 6328 3251 l 6356 3275 l 6384 3298 l 6413 3321 l 6442 3342 l 6472 3363 l 6502 3383 l 6532 3403 l 6563 3421 l 6594 3439 l 6625 3456 l 6657 3472 l 6688 3487 l 6720 3501 l 6751 3514 l 6782 3526 l 6813 3537 l 6843 3547 l 6873 3556 l 6902 3565 l 6931 3572 l 6960 3578 l 6987 3584 l 7015 3588 l 7042 3592 l 7068 3595 l 7094 3598 l 7120 3600 l 7150 3602 l 7180 3602 l 7210 3603 l 7240 3602 l 7270 3601 l 7301 3599 l 7332 3596 l 7364 3592 l 7395 3588 l 7427 3584 l 7459 3578 l 7490 3573 l 7521 3566 l 7552 3559 l 7582 3552 l 7611 3544 l 7640 3536 l 7668 3528 l 7694 3520 l 7720 3512 l 7744 3503 l 7768 3494 l 7790 3486 l 7811 3477 l 7832 3469 l 7852 3460 l 7876 3449 l 7900 3437 l 7923 3425 l 7946 3413 l 7968 3400 l 7991 3386 l 8015 3370 l 8039 3354 l 8064 3336 l 8090 3317 l 8116 3298 l 8141 3279 l 8165 3260 l 8187 3244 l 8204 3230 l 8218 3219 l 8227 3211 l 8233 3207 l 8235 3205 l gs col-1 s gr $F2psEnd rs %%EndDocument @endspecial 1157 2315 a Ft(0)1094 b(2)p Fv(\031)1551 1884 y(\015)1587 1893 y Fr(+)1667 2756 y Fv(\015)1703 2765 y Fh(\000)872 2080 y Fv(y)909 2057 y Fr(0)907 2100 y(+)1324 2591 y Fv(x)1364 2600 y Fr(+)2129 2539 y Fv(x)2169 2548 y Fh(\000)2132 2154 y Fv(y)2167 2163 y Fr(+)842 2577 y Fv(x)882 2554 y Fr(0)882 2597 y Fh(\000)1341 2131 y Fv(y)1376 2140 y Fh(\000)722 2979 y FB(Figure)31 b(17:)43 b(the)33 b(phase)h(p)s(ortrait)d(for)h(the)h(Hill's)d(equation)510 3311 y(Near)43 b Fw(x)j FB(=)f(0)1027 3275 y Ft(+)1086 3311 y FB(,)g(a)e(solution)e(of)i(the)g(Sc)m(hr\177)-49 b(odinger)43 b(equation)g(is)f(c)m(harac-)364 3432 y(terized)48 b(b)m(y)g(its)f(co)s(ordinates)g(\()p Fw(y)1623 3396 y Ft(0)1619 3456 y(+)1677 3432 y Fw(;)17 b(x)1776 3396 y Ft(0)1776 3456 y FC(\000)1836 3432 y FB(\))47 b(in)g(the)h(basis)f (\()p Fw(e)2570 3447 y Ft(3)2610 3432 y Fw(;)17 b(e)2699 3447 y Ft(2)2738 3432 y FB(\))47 b(of)g(microlo-)364 3552 y(cal)e(solutions.)82 b(Let)46 b(\()p Fw(y)1288 3567 y FC(\000)1346 3552 y Fw(;)17 b(x)1445 3567 y Ft(+)1504 3552 y FB(\))46 b([resp)s(ectiv)m(ely)h(\()p Fw(y)2246 3567 y Ft(+)2304 3552 y Fw(;)17 b(x)2403 3567 y FC(\000)2463 3552 y FB(\)])45 b(denote)i(the)f(co)s(or-)364 3672 y(dinates)f(of)g (the)g(same)g(solution)f(near)h Fw(x)50 b FB(=)e(2)p Fw(\031)h FB(with)c(resp)s(ect)h(to)f(the)h(ba-)364 3793 y(sis)41 b(\()p Fw(e)592 3808 y Ft(1)631 3793 y Fw(;)17 b(e)720 3808 y Ft(4)759 3793 y FB(\))41 b([resp.)69 b(\()p Fw(e)1217 3808 y Ft(3)1256 3793 y Fw(;)17 b(e)1345 3808 y Ft(2)1385 3793 y FB(\)].)68 b(The)41 b Fw(P)1816 3808 y Fv(E)1916 3793 y FB(matrix)f(is)g(the)h(matrix)e(de\014ned)j(b)m(y) 364 3913 y(\()p Fw(y)450 3928 y Ft(+)508 3913 y Fw(;)17 b(x)607 3928 y FC(\000)667 3913 y FB(\))40 b(=)g Fw(P)924 3928 y Fv(E)983 3913 y FB(\()p Fw(y)1073 3877 y Ft(0)1069 3938 y(+)1128 3913 y Fw(;)17 b(x)1227 3877 y Ft(0)1227 3938 y FC(\000)1286 3913 y FB(\).)65 b(Its)40 b(expression)h(is)f (easily)f(deduced)j(from)c(the)i Fw(T)364 4034 y FB(matrix)31 b(and)i(the)g(holonomies:)608 4231 y Fw(y)656 4246 y Ft(+)742 4231 y FB(=)28 b Fw(h)902 4190 y FC(\000)p Ft(1)902 4264 y Fv(\015)942 4245 y Fr(+)997 4231 y Fw(y)1045 4246 y FC(\000)1103 4231 y Fw(;)50 b(x)1235 4246 y Ft(+)1322 4231 y FB(=)27 b Fw(h)1481 4190 y FC(\000)p Ft(1)1481 4264 y Fv(\015)1521 4245 y Fh(\000)1578 4231 y Fw(x)1633 4246 y FC(\000)1693 4231 y Fw(;)1834 4091 y Fu(\022)1953 4170 y Fw(y)2005 4134 y Ft(0)2001 4195 y(+)1949 4291 y Fw(x)2004 4306 y Ft(+)2105 4091 y Fu(\023)2206 4231 y FB(=)g Fw(T)14 b FB(\()p Fw(")p FB(\))2519 4091 y Fu(\022)2637 4170 y Fw(y)2685 4185 y FC(\000)2633 4291 y Fw(x)2688 4254 y Ft(0)2688 4315 y FC(\000)2789 4091 y Fu(\023)3123 4231 y FB(\(60\))364 4454 y(F)-8 b(actoring)31 b Fs(E)41 b FB(in)32 b(the)h Fw(T)14 b FB(\()p Fw(")p FB(\))31 b(matrix)g(\(cf.)44 b(\(19\)\),)32 b(w)m(e)i(get:)1117 4676 y Fw(P)1180 4691 y Fv(E)1267 4676 y FB(=)1371 4536 y Fu(\022)1485 4615 y FB(1)p Fw(=\013)q Fs(E)145 b(\000)p Fw(ie)1999 4579 y FC(\000)p Fv(\031)r(")2135 4615 y Fw(=\013)1485 4735 y(\013)q(ie)1626 4699 y FC(\000)p Fv(\031)r(")1844 4735 y Fw(\013)q Fs(E)9 b FB(\(1)21 b(+)h Fw(e)2220 4699 y FC(\000)p Ft(2)p Fv(\031)r(")2390 4735 y FB(\))2470 4536 y Fu(\023)364 4898 y FB(Hence)34 b(det\()p Fw(P)890 4913 y Fv(E)950 4898 y FB(\))27 b(=)h(1)k(as)h(it)e(should)i(b)s(e)g (and:)485 5120 y(tr)g(\()p Fw(P)695 5135 y Fv(E)754 5120 y FB(\))28 b(=)f(2)972 5033 y Fs(p)p 1055 5033 384 4 v 87 x FB(1)22 b(+)g Fw(e)1269 5091 y FC(\000)p Ft(2)p Fv(\031)r(")1455 5120 y FB(cos)1603 4980 y Fu(\022)1676 5120 y FB(arg)q(\()p Fw(\013)q FB(\))g(+)g Fw(")17 b FB(ln)n(\()p Fw(h)p FB(\))22 b(+)g(arg)c(\000\()2730 5053 y(1)p 2730 5097 49 4 v 2730 5188 a(2)2810 5120 y(+)k Fw(i")p FB(\))3025 4980 y Fu(\023)3148 5120 y Fw(:)3123 5307 y FB(\(61\))3463 5463 y Fk(\003)1781 5712 y FB(29)p eop %%Page: 30 30 30 29 bop 120 407 a Fo(10.3)136 b(The)44 b(p)t(erio)t(dic)h(sp)t (ectrum)120 592 y FB(The)37 b(p)s(erio)s(dic)d(sp)s(ectrum)i(is)f (easily)g(deduced)j(from)d(the)h(equation)f(\001)2773 607 y Ft(1)2813 592 y FB(\()p Fw(\025)p FB(\))e(=)g(2.)53 b(W)-8 b(e)36 b(will)120 712 y(no)m(w)h(determine)f(it)g(b)m(y)h(a)f (direct)g(metho)s(d.)55 b(W)-8 b(e)37 b(will)d(also)h(describ)s(e)i (these)h(t)m(w)m(o)f(metho)s(ds)120 832 y(in)30 b(section)h(11)f(in)g (the)h(more)f(complicated)f(case)j(of)e(the)h(sp)s(ectrum)g(of)f(the)i (Hill's)c(equation)120 953 y(on)44 b(2)p Fw(T)57 b FB(and)43 b(3)p Fw(T)57 b FB(p)s(erio)s(dic)42 b(functions.)77 b(The)45 b(situation)d(is)h(similar)d(to)j(the)h(double)g(w)m(ell)120 3353 y @beginspecial @setspecial %%BeginDocument: pendule.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -25.0 303.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-iso isovec ReEncode /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 8209 m -1000 -1000 l 10022 -1000 l 10022 8209 l cp clip 0.04200 0.04200 sc % Arc 15.000 slw gs n 6242.6 269.8 5240.1 149.6 101.8 arcn gs col0 s gr gr % Arc gs n 1329.7 1139.1 4204.6 84.6 26.3 arcn gs col0 s gr gr % Arc gs [90] 0 sd n 3389.2 8157.0 3284.8 -120.4 -57.1 arc gs col0 s gr gr [] 0 sd % Arc gs [90] 0 sd n 3400.8 3488.7 1768.1 -161.4 -16.0 arc gs col0 s gr gr [] 0 sd % Arc 7.500 slw gs [60] 0 sd n 3455.1 -454.7 2554.7 132.6 49.9 arcn gs col0 s gr gr [] 0 sd % Arc gs [60] 0 sd n 3455.1 4645.3 2554.7 132.6 49.9 arcn gs col0 s gr gr [] 0 sd % Arc gs [60] 0 sd n 3455.1 2170.3 2554.7 132.6 49.9 arcn gs col0 s gr gr [] 0 sd % Arc gs [60] 0 sd n 3362.4 8815.8 2815.9 -125.6 -51.9 arc gs col0 s gr gr [] 0 sd % Arc gs [60] 0 sd n 3362.4 6340.8 2815.9 -125.6 -51.9 arc gs col0 s gr gr [] 0 sd % Arc gs [60] 0 sd n 3362.4 3715.8 2815.9 -125.6 -51.9 arc gs col0 s gr gr [] 0 sd % Arc 15.000 slw gs clippath 7139 1774 m 6994 1974 l 7028 1730 l 6908 2031 l 7020 2075 l cp clip n 7687.5 2146.9 722.8 -9.7 -170.3 arcn gs col0 s gr gr % arrowhead n 7139 1774 m 6994 1974 l 7028 1730 l col0 s % Arc gs clippath 8358 5930 m 8524 5747 l 8464 5987 l 8617 5702 l 8511 5645 l cp clip n 7846.5 5491.9 733.7 169.5 16.5 arcn gs col0 s gr gr % arrowhead n 8358 5930 m 8524 5747 l 8464 5987 l col0 s % Polyline 7.500 slw [60 30 15 30] 0 sd gs clippath 1695 1572 m 1725 1452 l 1755 1572 l 1755 1410 l 1695 1410 l cp clip n 1725 6525 m 1725 1425 l gs col0 s gr gr [] 0 sd % arrowhead n 1695 1572 m 1725 1452 l 1755 1572 l col0 s % Polyline [60] 0 sd n 5100 6600 m 5100 1500 l gs col0 s gr [] 0 sd % Polyline 15.000 slw n 6600 2175 m 9000 5700 l gs col0 s gr % Polyline n 6675 5775 m 8775 2250 l gs col0 s gr $F2psEnd rs %%EndDocument @endspecial 1091 2405 a Fv(x)20 b Ft(=)f(0)1748 2300 y Fv(x)g Ft(=)1891 2273 y Fn(\031)p 1891 2285 38 3 v 1895 2326 a Fr(2)986 1119 y Fv(x)h Ft(=)f Fv(\031)461 1302 y(\030)199 2300 y Ft(\()p Fv(x;)11 b(\030)s Ft(\))20 b(=)f(\()p FC(\000)544 2273 y Fn(\031)p 545 2285 V 549 2326 a Fr(2)593 2300 y Fv(;)11 b Ft(0\))173 1828 y Fv(\030)22 b(>)d Ft(0)120 2720 y Fv(\030)j(<)e Ft(0)2456 1486 y Fv(\015)2496 1463 y Fr(+)2535 2904 y Fv(\015)2575 2880 y Fh(\000)2771 2064 y Ft(1)2430 2458 y(2)2404 2064 y(3)2850 2458 y(4)2850 2668 y Fv(x)2890 2677 y Fr(+)2456 2668 y Fv(x)2496 2677 y Fh(\000)2351 1696 y Fv(y)2386 1705 y Fr(+)2850 1723 y Fv(y)2885 1732 y Fh(\000)306 3557 y FB(Figure)31 b(18:)43 b(the)33 b(0)g(energy)g(tra)5 b(jectory)34 b(in)d(the)i(phase)h(space)g(for)e(the)h(p)s(endulum)120 3769 y(p)s(oten)m(tial,)e(but)j(here)f(the)h(pairs)e(of)g(exp)s(onen)m (tially)g(close)h(eigen)m(v)-5 b(alues)33 b(o)s(ccurs)h(for)e(energy) 120 3890 y(v)-5 b(alue)40 b(that)g(are)g Fp(gr)-5 b(e)g(ater)51 b FB(\(instead)40 b(of)g(smaller\))e(than)i(the)h(critical)d(energy)-8 b(,)43 b(these)f(pairs)120 4010 y(comes)25 b(from)e(the)j(microlo)s (cal)21 b(e\013ect)k(b)s(et)m(w)m(een)i(the)e(t)m(w)m(o)h(classical)d (symmetric)h(tra)5 b(jectories.)266 4130 y(In)33 b(the)g(transition)e (energy)j(in)m(terv)-5 b(al,)31 b(one)i(has)g(\(cf.)43 b(\014gure)33 b(18\):)711 4366 y Fw(y)759 4381 y Ft(+)845 4366 y FB(=)28 b Fw(h)1005 4325 y FC(\000)p Ft(1)1005 4398 y Fv(\015)1045 4380 y Fr(+)1100 4366 y Fw(y)1148 4381 y FC(\000)1206 4366 y Fw(;)17 b(x)1305 4381 y Ft(+)1392 4366 y FB(=)28 b Fw(h)1552 4325 y FC(\000)p Ft(1)1552 4398 y Fv(\015)1592 4380 y Fh(\000)1649 4366 y Fw(x)1704 4381 y FC(\000)1763 4366 y Fw(;)1904 4226 y Fu(\022)2023 4305 y Fw(y)2071 4320 y Ft(+)2019 4425 y Fw(x)2074 4389 y Ft(+)2175 4226 y Fu(\023)2276 4366 y FB(=)g Fw(T)14 b FB(\()p Fw(")p FB(\))2590 4226 y Fu(\022)2707 4305 y Fw(y)2755 4320 y FC(\000)2703 4425 y Fw(x)2758 4440 y FC(\000)2859 4226 y Fu(\023)3367 4366 y FB(\(62\))120 4596 y(Hence)34 b(1)e(is)g(eigen)m(v)-5 b(alue)32 b(of)g(the)h(unitary) g(matrix:)1144 4686 y Fu(\022)1259 4766 y Fw(a)88 b(b)1264 4886 y(c)f(d)1486 4686 y Fu(\023)1587 4827 y FB(=)27 b Fw(T)14 b FB(\()p Fw(")p FB(\))1900 4686 y Fu(\022)2014 4766 y Fw(h)2070 4782 y Fv(\015)2110 4763 y Fr(+)2300 4766 y FB(0)2065 4886 y(0)134 b Fw(h)2304 4903 y Fv(\015)2344 4884 y Fh(\000)2442 4686 y Fu(\023)120 5063 y FB(As)41 b(for)e(the)i(double-w)m(ell)d(p)s(oten)m(tial,)i(w)m(e)i(apply)d(the)i (follo)m(wing)c(Equation)j(from)f([8,)j(ap-)120 5183 y(p)s(endix]:)970 5418 y Fs(j)p Fw(a)p Fs(j)17 b FB(cos)1241 5278 y Fu(\022)1324 5351 y FB(arg)h Fw(ad)p 1324 5395 256 4 v 1427 5486 a FB(2)1612 5418 y Fs(\000)k FB(arg)c Fw(a)1916 5278 y Fu(\023)2017 5418 y FB(=)27 b(cos)2268 5278 y Fu(\022)2351 5351 y FB(arg)17 b Fw(ad)p 2351 5395 V 2454 5486 a FB(2)2616 5278 y Fu(\023)1781 5712 y FB(30)p eop %%Page: 31 31 31 30 bop 120 407 a FB(and)33 b(w)m(e)g(get)g(the)g(singular)e (Bohr-Sommerfeld)f(quan)m(tization)i(rules:)969 585 y(1)p 760 630 467 4 v 760 650 a Fs(p)p 843 650 384 4 v 82 x FB(1)22 b(+)g Fw(e)1057 703 y FC(\000)p Ft(2)p Fv(\031)r(")1265 653 y FB(=)27 b(cos)1516 512 y Fu(\022)1589 653 y FB(arg)17 b Fw(\013)23 b FB(+)f Fw(")17 b FB(ln)e Fw(h)23 b FB(+)f(arg)17 b(\000\()2524 585 y(1)p 2524 630 49 4 v 2524 721 a(2)2605 653 y(+)22 b Fw(i")p FB(\))2820 512 y Fu(\023)3367 653 y FB(\(63\))120 904 y(This)34 b(equation)g(ma)m(y)g(b)s(e)g(deduced)i (from)d(\(57\))g(and)h(\001)2183 919 y Ft(1)2223 904 y FB(\()p Fw(\025)p FB(\))c(=)g(2)k(as)g(w)m(ell.)47 b(Let)35 b(us)f(remark)120 1024 y(the)40 b(min)m(us)g(sign)f(in)h(fron) m(t)g(of)f Fw(")h FB(in)f(the)i(exp)s(onen)m(tial)e(of)g(the)i(left)e (hand-side)h(of)g(\(63\),)h(it)120 1145 y(con\014rms)h(the)h(existence) g(of)f(pairs)f(of)h(eigen)m(v)-5 b(alues)42 b(for)f Fw(E)50 b(>)43 b FB(0)f(instead)g(of)g Fw(E)49 b(<)44 b FB(0)e(\(as)120 1265 y(obtained)35 b(for)h(the)g(symmetric)f(double-w)m(ell)f(p)s(oten) m(tial\).)52 b(A)35 b(more)h(precise)g(study)h(of)f(the)120 1385 y(solutions)30 b(of)g(\(63\))g(could)h(b)s(e)g(done,)h(and)f(w)m (ould)f(sho)m(w)i(the)g(same)e(univ)m(ersal)h(transition)e(of)120 1506 y(the)k(eigen)m(v)-5 b(alue)32 b(ladders.)266 1626 y Fp(Example:)57 b FB(F)-8 b(or)39 b(the)i(Mathieu)f(Equation)f Fw(V)22 b FB(\()p Fw(x)p FB(\))41 b(=)f(cos)17 b Fw(x)28 b Fs(\000)f FB(1,)42 b(w)m(e)f(\014nd)f(\012)h(=)f(8)g(and)120 1747 y Fw(J)i FB(=)32 b Fs(\000)p FB(5)17 b(ln)f(2.)52 b(W)-8 b(e)35 b(ha)m(v)m(e)i(done)f(a)f(n)m(umerical)f(comparison)g(of) h(the)h(eigen)m(v)-5 b(alues)35 b(obtained)120 1867 y(b)m(y)40 b(applying)e(the)i(singular)e(Bohr-Sommerfeld)f(rules)i(and)h(b)m(y)g (using)f(direct)g(n)m(umerical)120 1987 y(metho)s(ds,)33 b(see)g(section)g(A.2.)120 2272 y Fo(10.4)136 b(The)33 b(semi-classical)k(asymptotic)e(of)f(the)h(discriminan)l(t)g(for)494 2422 y(t)l(w)l(o)46 b(maxima)g(p)t(er)e(p)t(erio)t(d)120 2607 y FB(In)j(this)e(section,)50 b(w)m(e)e(study)f(the)g(Hill's)d (equation)i(assuming)f(that)h(the)h(p)s(oten)m(tial)e(has)120 2727 y(t)m(w)m(o)36 b(maxima)d(p)s(er)i(p)s(erio)s(d.)51 b(With)35 b(the)h(notations)e(of)h(\014gure)h(19,)f(it)g(su\016ces)i (to)e(calculate)120 2847 y(\()p Fw(B)237 2811 y Ft(+)296 2847 y Fw(;)17 b(Y)k FB(\))33 b(as)f(a)h(function)f(of)g(\()p Fw(b)1262 2811 y Ft(+)1321 2847 y Fw(;)17 b(y)t FB(\).)42 b(The)34 b(holonom)m(y)d(equations)i(read:)1004 3091 y Fw(a)1055 3050 y Ft(+)1142 3091 y FB(=)27 b Fw(a)1296 3050 y FC(\000)1366 3023 y Fw(\014)p 1365 3068 63 4 v 1365 3159 a(\013)1438 3091 y(;)114 b(b)1620 3050 y Ft(+)1708 3091 y FB(=)27 b Fw(b)1852 3050 y FC(\000)1947 3023 y FB(1)p 1922 3068 101 4 v 1922 3159 a Fw(\014)1983 3130 y Ft(2)2032 3091 y Fw(;)114 b(x)2228 3050 y Ft(+)2315 3091 y FB(=)27 b Fw(x)2473 3050 y FC(\000)2533 3091 y Fw(\013)q(\014)120 3330 y FB(and)33 b(the)g(critical)d(in)m(v)-5 b(arian)m(t)31 b(equations)i(are:)712 3436 y Fu(\022)834 3515 y Fw(b)875 3479 y FC(\000)827 3636 y Fw(x)882 3599 y Ft(+)983 3436 y Fu(\023)1084 3576 y FB(=)27 b Fw(T)14 b FB(\()p Fw(\021)t FB(\))1403 3436 y Fu(\022)1517 3515 y Fw(a)1568 3479 y Ft(+)1547 3636 y Fw(y)1669 3436 y Fu(\023)1759 3576 y Fw(;)1900 3436 y Fu(\022)2015 3515 y Fw(a)2066 3479 y FC(\000)2031 3636 y Fw(Y)2167 3436 y Fu(\023)2268 3576 y FB(=)27 b Fw(T)14 b FB(\()p Fw(")p FB(\))2581 3436 y Fu(\022)2695 3515 y Fw(B)2774 3479 y Ft(+)2707 3636 y Fw(x)2762 3599 y FC(\000)2875 3436 y Fu(\023)120 3830 y FB(Using)40 b(again)g(our)g(preferred)i(CAS,)g(w)m (e)g(determine)e(the)h(function)g(\()p Fw(b)2802 3794 y Ft(+)2861 3830 y Fw(;)17 b(y)t FB(\))41 b Fs(!)g FB(\()p Fw(B)3294 3794 y Ft(+)3353 3830 y Fw(;)17 b(Y)k FB(\).)120 3950 y(W)-8 b(e)29 b(c)m(hec)m(k)h(that)e(the)h(corresp)s(onding)f (matrix)e(has)j(determinan)m(t)f(1,)h(and)f(its)g(trace)g(is)g(giv)m (en)120 4071 y(b)m(y:)373 4265 y(\001)84 b(=)f(2)746 4178 y Fs(p)p 828 4178 384 4 v 828 4265 a FB(1)22 b(+)g Fw(e)1042 4236 y FC(\000)p Ft(2)p Fv(\031)r(")1212 4178 y Fs(p)p 1295 4178 390 4 v 87 x FB(1)g(+)g Fw(e)1509 4236 y FC(\000)p Ft(2)p Fv(\031)r(\021)1701 4265 y FB(cos)q(\(arg)17 b Fw(\013)23 b FB(+)f(arg)17 b Fw(\014)28 b Fs(\000)23 b FB(arg)17 b Fs(E)31 b(\000)23 b FB(arg)17 b Fs(N)e FB(\))21 b(+)697 4410 y(+2)p Fw(e)867 4369 y FC(\000)p Fv(\031)r Ft(\()p Fv(")p Ft(+)p Fv(\021)r Ft(\))1165 4410 y FB(cos)q(\(arg)c Fw(\014)28 b Fs(\000)23 b FB(arg)17 b Fw(\013)q FB(\))p Fw(:)266 4604 y FB(It)30 b(is)g(no)m(w)g(easy)h(to) e(get)h(informations)d(ab)s(out)j(the)g(lengths)g(of)f(the)h(bands)h (and)f(gaps)g(as)120 4724 y Fw(\025)i FB(tends)i(to)e(0.)44 b(Mo)s(dulo)31 b(a)h(relativ)m(e)g(error)h(of)f(order)h(1)p Fw(=)p Fs(j)17 b FB(ln)n(\()p Fw(h)p FB(\))p Fs(j)p FB(,)32 b(w)m(e)i(get:)518 4918 y(\001)28 b(=)g(4)17 b(cos\(arg)g Fw(\013)23 b FB(+)f(arg)17 b Fw(\014)28 b Fs(\000)23 b FB(\()p Fw(")e FB(+)h Fw(\021)t FB(\))17 b(ln)o(\()p Fw(h)p FB(\)\))22 b(+)g(2)17 b(cos\(arg)g Fw(\014)28 b Fs(\000)23 b FB(arg)17 b Fw(\013)q FB(\))120 5112 y(and)33 b(w)m(e)g(rewrite)g(this)f(Equation)g(as:)339 5388 y(\001)c(=)g(2)22 b(+)g(4)787 5218 y Fu(")844 5388 y FB(cos)q(\(arg)17 b Fw(\013)23 b FB(+)f(arg)c Fw(\014)27 b Fs(\000)c FB(\()p Fw(")f FB(+)g Fw(\021)t FB(\))17 b(ln)n(\()p Fw(h)p FB(\)\))22 b Fs(\000)h FB(sin)2504 5248 y Fu(\022)2588 5321 y FB(arg)17 b Fw(\014)28 b Fs(\000)23 b FB(arg)17 b Fw(\013)p 2588 5365 552 4 v 2839 5456 a FB(2)3150 5248 y Fu(\023)3223 5270 y Ft(2)3262 5218 y Fu(#)1781 5712 y FB(31)p eop %%Page: 32 32 32 31 bop 120 4300 a @beginspecial @setspecial %%BeginDocument: pdoublens.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -40.0 426.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-iso isovec ReEncode /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 11134 m -1000 -1000 l 9601 -1000 l 9601 11134 l cp clip 0.04200 0.04200 sc % Arc 7.500 slw gs n 3637.5 3787.5 1013.2 -141.0 -39.0 arc gs col0 s gr gr % Arc gs n 3600.0 3443.8 981.2 147.2 32.8 arcn gs col0 s gr gr % Arc gs n 6037.5 3787.5 1013.2 -141.0 -39.0 arc gs col0 s gr gr % Arc gs n 6075.0 3443.8 981.2 147.2 32.8 arcn gs col0 s gr gr % Arc gs clippath 3606 4006 m 3723 4047 l 3601 4066 l 3762 4081 l 3768 4022 l cp clip n 3712.5 3637.5 414.2 -84.8 84.8 arcn gs col0 s gr gr % arrowhead n 3606 4006 m 3723 4047 l 3601 4066 l col0 s % Arc gs clippath 5781 3931 m 5898 3972 l 5776 3991 l 5937 4006 l 5943 3947 l cp clip n 5887.5 3562.5 414.2 -84.8 84.8 arcn gs col0 s gr gr % arrowhead n 5781 3931 m 5898 3972 l 5776 3991 l col0 s % Arc gs clippath 6497 4563 m 6393 4630 l 6453 4522 l 6343 4641 l 6387 4681 l cp clip n 7162.5 5272.5 1003.8 -38.3 -141.7 arcn gs col0 s gr gr % arrowhead n 6497 4563 m 6393 4630 l 6453 4522 l col0 s % Arc gs clippath 4387 8724 m 4483 8646 l 4435 8760 l 4533 8631 l 4485 8595 l cp clip n 3675.0 8093.8 981.2 147.2 32.8 arcn gs col0 s gr gr % arrowhead n 4387 8724 m 4483 8646 l 4435 8760 l col0 s % Arc gs clippath 2898 7564 m 2793 7630 l 2854 7523 l 2743 7640 l 2787 7682 l cp clip n 3562.5 8287.5 1013.2 -141.0 -39.0 arc gs col0 s gr gr % arrowhead n 2898 7564 m 2793 7630 l 2854 7523 l col0 s % Arc gs clippath 5448 8764 m 5343 8830 l 5404 8723 l 5293 8840 l 5337 8882 l cp clip n 6112.5 9487.5 1013.2 -141.0 -39.0 arc gs col0 s gr gr % arrowhead n 5448 8764 m 5343 8830 l 5404 8723 l col0 s % Arc gs clippath 2915 9810 m 2866 9696 l 2963 9774 l 2865 9645 l 2817 9681 l cp clip n 3675.0 9143.8 981.2 147.2 32.8 arcn gs col0 s gr gr % arrowhead n 2915 9810 m 2866 9696 l 2963 9774 l col0 s % Arc gs clippath 2915 6810 m 2866 6696 l 2963 6774 l 2865 6645 l 2817 6681 l cp clip n 3675.0 6143.8 981.2 147.2 32.8 arcn gs col0 s gr gr % arrowhead n 2915 6810 m 2866 6696 l 2963 6774 l col0 s % Arc gs clippath 5390 6735 m 5341 6621 l 5438 6699 l 5340 6570 l 5292 6606 l cp clip n 6150.0 6068.8 981.2 147.2 32.8 arcn gs col0 s gr gr % arrowhead n 5390 6735 m 5341 6621 l 5438 6699 l col0 s % Polyline n 2025 3975 m 2850 3150 l gs col0 s gr % Polyline n 1950 3150 m 2775 3975 l gs col0 s gr % Polyline n 4425 3150 m 5250 3975 l gs col0 s gr % Polyline n 4425 3975 m 5250 3150 l gs col0 s gr % Polyline n 6900 3975 m 7725 3150 l gs col0 s gr % Polyline n 6825 3150 m 7650 3975 l gs col0 s gr % Polyline [60] 0 sd gs clippath 2370 1797 m 2400 1677 l 2430 1797 l 2430 1635 l 2370 1635 l cp clip n 2400 5700 m 2400 1650 l gs col0 s gr gr [] 0 sd % arrowhead n 2370 1797 m 2400 1677 l 2430 1797 l col0 s % Polyline [60] 0 sd n 7275 5475 m 7275 1650 l gs col0 s gr [] 0 sd % Polyline n 3525 2550 m 3525 2925 l gs col0 s gr % Polyline n 3600 2550 m 3600 2925 l gs col0 s gr % Polyline n 5925 2550 m 5925 2925 l gs col0 s gr % Polyline n 6000 2550 m 6000 2925 l gs col0 s gr % Polyline n 6000 4275 m 6000 4575 l gs col0 s gr % Polyline n 6075 4275 m 6075 4575 l gs col0 s gr % Polyline n 2400 6225 m 2850 6675 l gs col0 s gr % Polyline n 4875 6150 m 5325 6600 l gs col0 s gr % Polyline n 6975 6600 m 7350 6075 l gs col0 s gr % Polyline n 2414 8185 m 2789 7660 l gs col0 s gr % Polyline n 4350 7650 m 4800 8100 l gs col0 s gr % Polyline n 2400 8175 m 2850 8625 l gs col0 s gr % Polyline n 2400 9225 m 2850 9675 l gs col0 s gr % Polyline n 4500 9675 m 5325 8850 l gs col0 s gr % Polyline n 6900 8850 m 7350 9300 l gs col0 s gr % Polyline n 4468 6705 m 4843 6180 l gs col0 s gr % Polyline n 4460 8650 m 4835 8125 l gs col0 s gr % Polyline [60] 0 sd gs clippath 8103 3570 m 8223 3600 l 8103 3630 l 8265 3630 l 8265 3570 l cp clip n 1200 3600 m 8250 3600 l gs col0 s gr gr [] 0 sd % arrowhead n 8103 3570 m 8223 3600 l 8103 3630 l col0 s $F2psEnd rs %%EndDocument @endspecial 593 2118 a Fv(x)19 b Ft(=)g(0)1485 b Fv(x)20 b Ft(=)f(2)p Fv(\031)1275 1751 y(b)1305 1727 y Fh(\000)776 1777 y Fv(b)806 1754 y Fr(+)1590 2355 y Fv(x)1630 2331 y Fr(+)1800 3851 y Fv(\013)1931 1698 y(a)1968 1675 y Fh(\000)1669 1751 y Fv(a)1706 1727 y Fr(+)2693 2040 y Fv(x)566 1305 y(\030)2141 2250 y(x)2181 2226 y Fh(\000)2273 1935 y Fv(")1826 3142 y(\013)1871 3119 y Fh(\000)p Fr(1)1406 2118 y Fv(\021)2430 1803 y(B)2486 1780 y Fr(+)986 2355 y Fv(y)2561 2250 y(Y)960 3168 y(\014)1003 3145 y Fh(\000)p Fr(1)881 3431 y Fv(\014)934 3851 y(\014)986 1987 y(\014)g FC(\002)d Fv(\014)1774 1935 y(\013)g FC(\002)f Fv(\013)908 4166 y(\014)951 4143 y Fh(\000)p Fr(1)120 3667 y Ft(cycle)24 b Fv(b)p Ft(:)32 b Fv(\014)419 3644 y Fr(2)120 4114 y Ft(cycle)24 b Fv(a)p Ft(:)32 b Fv(\013=\014)120 3116 y Ft(cycle)24 b Fv(x)p Ft(:)31 b Fv(\013)430 3093 y Fh(\000)p Fr(1)513 3116 y Fv(\014)556 3093 y Fh(\000)p Fr(1)881 4504 y FB(Figure)g(19:)43 b(the)33 b(double)g(w)m(ell)f(for)g(the)h(p)s (endulum)1781 5712 y(32)p eop %%Page: 33 33 33 32 bop 120 407 a FB(Therefore)34 b(the)f(inequalit)m(y)e(\001)d Fw(>)g FB(2)k(is)g(equiv)-5 b(alen)m(t)32 b(to:)608 669 y(cos)q(\(arg)17 b Fw(\013)23 b FB(+)f(arg)17 b Fw(\014)28 b Fs(\000)23 b FB(\()p Fw(")e FB(+)h Fw(\021)t FB(\))17 b(ln)o(\()p Fw(h)p FB(\)\))28 b Fw(>)f FB(sin)2277 529 y Fu(\022)2361 602 y FB(arg)17 b Fw(\014)28 b Fs(\000)23 b FB(arg)17 b Fw(\013)p 2361 646 552 4 v 2612 738 a FB(2)2923 529 y Fu(\023)2996 551 y Ft(2)3367 669 y FB(\(64\))120 921 y(up)23 b(to)g(a)g(1)p Fw(=)p Fs(j)17 b FB(ln)n(\()p Fw(h)p FB(\))p Fs(j)22 b FB(relativ)m(e)h(error.)40 b(Hence,)26 b(the)e(bands)f(and)g(gaps)g(do)g(not)g(ha)m(v)m(e)h(generically)120 1041 y(the)30 b(same)g(length)f(near)h(the)g(0)g(energy)-8 b(,)31 b(except)h(if)c Fw(\014)34 b FB(=)27 b Fw(\013)q FB(.)42 b(These)32 b(lengths)e(dep)s(end)h(on)f(the)120 1162 y(v)-5 b(alue)33 b(of)g(arg)17 b Fw(\014)29 b Fs(\000)23 b FB(arg)17 b Fw(\013)q FB(.)46 b(F)-8 b(or)33 b(example)g(it)f(is)h(p) s(ossible)g(to)g(ha)m(v)m(e)i(gaps)e(of)g(asymptotically)120 1282 y(small)d(length)i(or,)h(con)m(v)m(ersely)-8 b(,)34 b(bands)g(of)e(asymptotically)e(small)g(length.)120 1611 y Fx(11)161 b(The)53 b(p)t(erio)t(dic)h(sp)t(ectrum)e(o)l(v)l(er)f Fg(2)p Fi(T)73 b Fx(and)54 b Fg(3)p Fi(T)73 b Fx(p)t(eri-)443 1794 y(o)t(dic)54 b(functions)120 2013 y FB(W)-8 b(e)31 b(pro)m(v)m(ed)h(in)d(the)i(previous)g(section)f(that)g(the)h(p)s (endulum)f(sho)m(w)m(ed)i(the)f(same)f(univ)m(ersal)120 2133 y(transition)23 b(as)j(the)f(double)g(w)m(ell)g(p)s(oten)m(tial.) 39 b(It)25 b(is)g(natural)f(to)g(explore)i(the)f(situation)f(of)h(the) 120 2254 y(double)34 b(and)h(triple)e(translation-symmetric)f(w)m(ell)h (o)m(v)m(er)j Fw(M)42 b FB(=)31 b Fq(R)5 b Fw(=)p FB(\(2)p Fw(\031)t Fq(Z)p FB(\).)52 b(The)35 b(reference)120 2374 y(mo)s(dels)c(are)i Fw(V)22 b FB(\()p Fw(x)p FB(\))28 b(=)f(1)22 b Fs(\000)h FB(cos\(2)p Fw(x)p FB(\))33 b(and)f(1)22 b Fs(\000)h FB(cos)q(\(3)p Fw(x)p FB(\).)120 2659 y Fo(11.1)136 b(The)44 b(translation-symmetric)j(double)e(w)l(ell.)120 2844 y Fy(11.1.1)113 b(Direct)35 b(metho)s(d)120 3028 y FB(In)43 b(this)f(situation,)h(w)m(e)g(will)d(ha)m(v)m(e)k(pairs)e (of)g(exp)s(onen)m(tially)f(close)h(eigen)m(v)-5 b(alues)43 b(in)e(b)s(oth)120 3149 y(energy)36 b(domains)d(\()p Fw(E)38 b(>)31 b FB(0)k(and)g Fw(E)i(<)32 b FB(0\),)j(but)g(the)g (tunneling)f(tra)5 b(jectories)35 b(that)g(explain)120 3269 y(these)f(couplings)e(are)g(di\013eren)m(t.)266 3390 y(There)k(is)f(a)f(little)f(cycle)i(of)f(holonom)m(y)g Fw(\013)1836 3353 y Ft(2)1875 3390 y FB(,)i(and)f(t)m(w)m(o)g(big)f (cycles)i(of)e(holonomies)f Fw(\013)3446 3353 y FC(\000)p Ft(2)120 3510 y FB(and)c(1.)42 b(The)30 b(t)m(w)m(o)g(critical)d(p)s (oin)m(ts)i(ha)m(v)m(e)h(the)g(same)f(semi-classical)d(in)m(v)-5 b(arian)m(t)28 b Fw(")p FB(.)42 b(With)29 b(the)120 3630 y(notations)j(of)g(\014gure)h(20,)f(p.)44 b(34,)32 b(w)m(e)h(get:)372 3738 y Fu(0)372 3913 y(B)372 3973 y(B)372 4036 y(@)502 3816 y Fw(a)553 3780 y FC(\000)532 3937 y Fw(y)507 4057 y(b)548 4021 y FC(\000)500 4177 y Fw(x)555 4141 y Ft(+)656 3738 y Fu(1)656 3913 y(C)656 3973 y(C)656 4036 y(A)771 3998 y FB(=)875 3857 y Fu(\022)990 3937 y Fw(T)14 b FB(\()p Fw(")p FB(\))134 b(0)1366 3952 y Ft(2)1042 4057 y FB(0)1091 4072 y Ft(2)1265 4057 y Fw(T)14 b FB(\()p Fw(")p FB(\))1499 3857 y Fu(\023)1589 3738 y(0)1589 3913 y(B)1589 3973 y(B)1589 4036 y(@)1724 3816 y Fw(b)1765 3780 y Ft(+)1717 3937 y Fw(x)1772 3900 y FC(\000)1719 4057 y Fw(a)1770 4021 y Ft(+)1749 4177 y Fw(y)1873 3738 y Fu(1)1873 3913 y(C)1873 3973 y(C)1873 4036 y(A)1988 3998 y FB(=)2092 3738 y Fu(0)2092 3913 y(B)2092 3973 y(B)2092 4036 y(@)2247 3816 y FB(0)136 b(0)110 b(1)82 b(0)2247 3937 y(0)136 b(0)110 b(0)82 b(1)2220 4057 y Fw(\013)2283 4021 y Ft(2)2432 4057 y FB(0)110 b(0)82 b(0)2247 4177 y(0)109 b Fw(\013)2468 4141 y Ft(2)2591 4177 y FB(0)82 b(0)2813 3738 y Fu(1)2813 3913 y(C)2813 3973 y(C)2813 4036 y(A)2916 3738 y(0)2916 3913 y(B)2916 3973 y(B)2916 4036 y(@)3052 3816 y Fw(b)3093 3780 y Ft(+)3045 3937 y Fw(x)3100 3900 y FC(\000)3047 4057 y Fw(a)3098 4021 y Ft(+)3077 4177 y Fw(y)3201 3738 y Fu(1)3201 3913 y(C)3201 3973 y(C)3201 4036 y(A)120 4372 y FB(This)33 b(homogeneous)h(system)g(has)f(a)g(non)g(trivial)e (solution)h(\()p Fw(b)2451 4336 y Ft(+)2510 4372 y Fw(;)17 b(x)2609 4336 y FC(\000)2668 4372 y Fw(;)g(a)2763 4336 y Ft(+)2822 4372 y Fw(;)g(y)t FB(\))32 b(if)g(and)h(only)g(if)120 4492 y(its)f(determinan)m(t)g(is)g(0.)43 b(F)-8 b(actoring)31 b Fs(E)41 b FB(in)32 b(eac)m(h)i(line)d(\(cf.)43 b(\(19\)\))32 b(giv)m(es:)1001 4601 y Fu(\014)1001 4661 y(\014)1001 4721 y(\014)1001 4780 y(\014)1001 4840 y(\014)1001 4900 y(\014)1001 4960 y(\014)1001 5020 y(\014)1076 4684 y FB(1)323 b Fw(ie)1526 4648 y FC(\000)p Fv("\031)1821 4684 y Fs(\000)p FB(1)p Fw(=)p Fs(E)92 b FB(0)1076 4804 y Fw(ie)1154 4768 y FC(\000)p Fv("\031)1448 4804 y FB(1)324 b(0)271 b Fs(\000)p FB(1)p Fw(=)p Fs(E)1076 4925 y(\000)p Fw(\013)1216 4888 y Ft(2)1255 4925 y Fw(=)p Fs(E)91 b FB(0)324 b(1)271 b Fw(ie)2219 4888 y FC(\000)p Fv("\031)1076 5045 y FB(0)323 b Fs(\000)p Fw(\013)1588 5009 y Ft(2)1628 5045 y Fw(=)p Fs(E)91 b Fw(ie)1899 5009 y FC(\000)p Fv("\031)2141 5045 y FB(1)2419 4601 y Fu(\014)2419 4661 y(\014)2419 4721 y(\014)2419 4780 y(\014)2419 4840 y(\014)2419 4900 y(\014)2419 4960 y(\014)2419 5020 y(\014)2480 4865 y FB(=)27 b(0)p Fw(;)120 5232 y FB(and)33 b(ev)m(en)m(tually:)816 5427 y Fs(E)9 b FB(\(1)22 b Fs(\000)g Fw(ie)1164 5386 y FC(\000)p Fv("\031)1299 5427 y FB(\))28 b(=)f Fs(\006)p Fw(\013)99 b FB(where)g Fs(E)9 b FB(\(1)21 b(+)h Fw(ie)2399 5386 y FC(\000)p Fv("\031)2534 5427 y FB(\))28 b(=)g Fs(\006)p Fw(\013)524 b FB(\(65\))1781 5712 y(33)p eop %%Page: 34 34 34 33 bop 120 4300 a @beginspecial @setspecial %%BeginDocument: pdouble.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -40.0 426.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-iso isovec ReEncode /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 11134 m -1000 -1000 l 9601 -1000 l 9601 11134 l cp clip 0.04200 0.04200 sc % Arc 7.500 slw gs n 3637.5 3787.5 1013.2 -141.0 -39.0 arc gs col0 s gr gr % Arc gs n 3600.0 3443.8 981.2 147.2 32.8 arcn gs col0 s gr gr % Arc gs n 6037.5 3787.5 1013.2 -141.0 -39.0 arc gs col0 s gr gr % Arc gs n 6075.0 3443.8 981.2 147.2 32.8 arcn gs col0 s gr gr % Arc gs clippath 3606 4006 m 3723 4047 l 3601 4066 l 3762 4081 l 3768 4022 l cp clip n 3712.5 3637.5 414.2 -84.8 84.8 arcn gs col0 s gr gr % arrowhead n 3606 4006 m 3723 4047 l 3601 4066 l col0 s % Arc gs clippath 5781 3931 m 5898 3972 l 5776 3991 l 5937 4006 l 5943 3947 l cp clip n 5887.5 3562.5 414.2 -84.8 84.8 arcn gs col0 s gr gr % arrowhead n 5781 3931 m 5898 3972 l 5776 3991 l col0 s % Arc gs clippath 6497 4563 m 6393 4630 l 6453 4522 l 6343 4641 l 6387 4681 l cp clip n 7162.5 5272.5 1003.8 -38.3 -141.7 arcn gs col0 s gr gr % arrowhead n 6497 4563 m 6393 4630 l 6453 4522 l col0 s % Arc gs clippath 4387 8724 m 4483 8646 l 4435 8760 l 4533 8631 l 4485 8595 l cp clip n 3675.0 8093.8 981.2 147.2 32.8 arcn gs col0 s gr gr % arrowhead n 4387 8724 m 4483 8646 l 4435 8760 l col0 s % Arc gs clippath 2898 7564 m 2793 7630 l 2854 7523 l 2743 7640 l 2787 7682 l cp clip n 3562.5 8287.5 1013.2 -141.0 -39.0 arc gs col0 s gr gr % arrowhead n 2898 7564 m 2793 7630 l 2854 7523 l col0 s % Arc gs clippath 5448 8764 m 5343 8830 l 5404 8723 l 5293 8840 l 5337 8882 l cp clip n 6112.5 9487.5 1013.2 -141.0 -39.0 arc gs col0 s gr gr % arrowhead n 5448 8764 m 5343 8830 l 5404 8723 l col0 s % Arc gs clippath 2915 9810 m 2866 9696 l 2963 9774 l 2865 9645 l 2817 9681 l cp clip n 3675.0 9143.8 981.2 147.2 32.8 arcn gs col0 s gr gr % arrowhead n 2915 9810 m 2866 9696 l 2963 9774 l col0 s % Arc gs clippath 2915 6810 m 2866 6696 l 2963 6774 l 2865 6645 l 2817 6681 l cp clip n 3675.0 6143.8 981.2 147.2 32.8 arcn gs col0 s gr gr % arrowhead n 2915 6810 m 2866 6696 l 2963 6774 l col0 s % Arc gs clippath 5390 6735 m 5341 6621 l 5438 6699 l 5340 6570 l 5292 6606 l cp clip n 6150.0 6068.8 981.2 147.2 32.8 arcn gs col0 s gr gr % arrowhead n 5390 6735 m 5341 6621 l 5438 6699 l col0 s % Polyline n 2025 3975 m 2850 3150 l gs col0 s gr % Polyline n 1950 3150 m 2775 3975 l gs col0 s gr % Polyline n 4425 3150 m 5250 3975 l gs col0 s gr % Polyline n 4425 3975 m 5250 3150 l gs col0 s gr % Polyline n 6900 3975 m 7725 3150 l gs col0 s gr % Polyline n 6825 3150 m 7650 3975 l gs col0 s gr % Polyline [60] 0 sd gs clippath 2370 1797 m 2400 1677 l 2430 1797 l 2430 1635 l 2370 1635 l cp clip n 2400 5700 m 2400 1650 l gs col0 s gr gr [] 0 sd % arrowhead n 2370 1797 m 2400 1677 l 2430 1797 l col0 s % Polyline [60] 0 sd n 7275 5475 m 7275 1650 l gs col0 s gr [] 0 sd % Polyline n 3525 2550 m 3525 2925 l gs col0 s gr % Polyline n 3600 2550 m 3600 2925 l gs col0 s gr % Polyline n 5925 2550 m 5925 2925 l gs col0 s gr % Polyline n 6000 2550 m 6000 2925 l gs col0 s gr % Polyline n 6000 4275 m 6000 4575 l gs col0 s gr % Polyline n 6075 4275 m 6075 4575 l gs col0 s gr % Polyline n 2400 6225 m 2850 6675 l gs col0 s gr % Polyline n 4875 6150 m 5325 6600 l gs col0 s gr % Polyline n 6975 6600 m 7350 6075 l gs col0 s gr % Polyline n 2414 8185 m 2789 7660 l gs col0 s gr % Polyline n 4350 7650 m 4800 8100 l gs col0 s gr % Polyline n 2400 8175 m 2850 8625 l gs col0 s gr % Polyline n 2400 9225 m 2850 9675 l gs col0 s gr % Polyline n 4500 9675 m 5325 8850 l gs col0 s gr % Polyline n 6900 8850 m 7350 9300 l gs col0 s gr % Polyline n 4468 6705 m 4843 6180 l gs col0 s gr % Polyline n 4460 8650 m 4835 8125 l gs col0 s gr % Polyline [60] 0 sd gs clippath 8103 3570 m 8223 3600 l 8103 3630 l 8265 3630 l 8265 3570 l cp clip n 1200 3600 m 8250 3600 l gs col0 s gr gr [] 0 sd % arrowhead n 8103 3570 m 8223 3600 l 8103 3630 l col0 s $F2psEnd rs %%EndDocument @endspecial 593 2118 a Fv(x)19 b Ft(=)g(0)1485 b Fv(x)20 b Ft(=)f(2)p Fv(\031)1275 1751 y(b)1305 1727 y Fh(\000)776 1777 y Fv(b)806 1754 y Fr(+)1590 2355 y Fv(x)1630 2331 y Fr(+)881 3431 y Fv(\013)934 3851 y(\013)821 b(\013)908 4166 y(\013)953 4143 y Fh(\000)p Fr(1)1931 1698 y Fv(a)1968 1675 y Fh(\000)1669 1751 y Fv(a)1706 1727 y Fr(+)2693 2040 y Fv(x)566 1305 y(\030)2141 2250 y(x)2181 2226 y Fh(\000)2273 1935 y Fv(")1406 2118 y(")120 3667 y Ft(cycle)24 b Fv(b)p Ft(:)32 b Fv(\013)421 3644 y Fr(2)120 4114 y Ft(cycle)24 b Fv(a)p Ft(:)32 b(1)960 3168 y Fv(\013)1005 3145 y Fh(\000)p Fr(1)1826 3142 y Fv(\013)1871 3119 y Fh(\000)p Fr(1)120 3116 y Ft(cycle)24 b Fv(x)p Ft(:)31 b Fv(\013)430 3093 y Fh(\000)p Fr(2)960 2381 y Fv(y)644 4504 y FB(Figure)g(20:)43 b(the)33 b(symmetric)f(double-w)m(ell)f(for)h (the)h(p)s(endulum)1781 5712 y(34)p eop %%Page: 35 35 35 34 bop 120 407 a FB(As)34 b(a)g(consequence,)j(w)m(e)e(obtain)e(the) h(equidistribution)e(of)i(the)g(eigen)m(v)-5 b(alues)34 b(near)g(energy)120 527 y(0)e(in)g(the)h(semi-classical)d(limit)f (\(here)k(\\near")g(means)f(after)g(a)h(zo)s(om-out)e(of)h(factor)g(1)p Fw(=h)p FB(\).)120 786 y Fy(11.1.2)113 b(The)37 b(trace)g(metho)s(d.) 120 971 y FB(The)50 b(eigen)m(v)-5 b(alues)48 b(ma)m(y)h(b)s(e)g (distinguished)e(b)m(y)j(parit)m(y)e(prop)s(erties:)76 b(the)49 b(p)s(erio)s(dic)e([re-)120 1091 y(sp)s(ectiv)m(ely)52 b(an)m(ti-p)s(erio)s(dic])c(eigen)m(v)-5 b(alues)51 b(corresp)s(ond)h (to)f(eigenfunctions)g(that)g(satisfy)120 1212 y Fw(f)11 b FB(\()p Fw(x)23 b FB(+)g Fw(\031)t FB(\))30 b(=)g Fw(f)11 b FB(\()p Fw(x)p FB(\))34 b([resp.)48 b Fw(f)11 b FB(\()p Fw(x)23 b FB(+)g Fw(\031)t FB(\))30 b(=)g Fs(\000)p Fw(f)11 b FB(\()p Fw(x)p FB(\)].)48 b(Hence)35 b(w)m(e)g(ha)m(v)m(e)h(to)d(c)m (hec)m(k)j(if)d(1)h(and)g Fs(\000)p FB(1)120 1332 y(are)i(eigen)m(v)-5 b(alues)36 b(of)g(the)g(translation)f(matrix)f(o)m(v)m(er)j(a)f(half)f (p)s(erio)s(d,)h(or,)h(since)f(the)h(deter-)120 1452 y(minan)m(t)f(of)h(this)g(matrix)f(is)h(1,)i(to)e(c)m(hec)m(k)j(that)d (the)h(trace)f(is)g(2)h(\(p)s(erio)s(dic)d(eigen)m(v)-5 b(alue\))37 b(or)120 1573 y Fs(\000)p FB(2)c(\(an)m(ti-p)s(erio)s (dic\).)40 b(Therefore)34 b(w)m(e)g(are)e(lead)g(to)g(the)h(equation:) 661 1845 y(cos)808 1705 y Fu(\022)881 1845 y FB(arg)q(\()p Fw(\013)q FB(\))22 b(+)g Fw(")17 b FB(ln)n(\()p Fw(h)p FB(\))22 b(+)g(arg)c(\000\()1935 1778 y(1)p 1935 1822 49 4 v 1935 1913 a(2)2016 1845 y(+)k Fw(i")p FB(\))2231 1705 y Fu(\023)2331 1845 y FB(=)28 b Fs(\006)2732 1778 y FB(1)p 2522 1822 467 4 v 2522 1842 a Fs(p)p 2605 1842 384 4 v 82 x FB(1)22 b(+)g Fw(e)2819 1896 y FC(\000)p Ft(2)p Fv(\031)r(")3367 1845 y FB(\(66\))120 2112 y(F)-8 b(or)26 b Fw(")h FB(=)h(0,)g(w)m(e)g(\014nd)f(again)e(the)j (equidistribution)d(of)h(the)h(eigen)m(v)-5 b(alues)27 b(with)f(the)i(follo)m(wing)120 2232 y(parit)m(y:)43 b(p)s(erio)s(dic,)31 b(an)m(ti-p)s(erio)s(dic,)f(an)m(ti-p)s(erio)s (dic,)g(p)s(erio)s(dic.)266 2352 y(W)-8 b(e)40 b(can)g(compare)g (\(66\))f(and)g(\(65\):)57 b(since)40 b(all)e(mem)m(b)s(ers)h(of)h (\(65\))f(ha)m(v)m(e)i(mo)s(dulus)d(1,)120 2473 y(these)i(4)f (equations)g(are)f(equiv)-5 b(alen)m(t)39 b(to)f(the)i(equations)f (obtained)f(b)m(y)i(taking)e(the)h(argu-)120 2593 y(men)m(ts.)44 b(Getting)31 b(\(66\))h(is)g(no)m(w)i(easy)-8 b(.)266 2714 y(Let)34 b(us)g(apply)e(equation)h(\(64\))g(with)g Fw(\013)c FB(=)g Fw(\014)39 b FB(and)33 b Fw(")28 b FB(=)h Fw(\021)t FB(.)45 b(Observing)34 b(that)f(cos\(2)p Fw(x)p FB(\))c(=)120 2834 y(2)17 b(cos)316 2798 y Ft(2)372 2834 y Fw(x)11 b Fs(\000)g FB(1)28 b(and)g(that)f(the)g(orien)m(tation)f (con)m(v)m(en)m(tion)i(of)f(the)g(cycles)i(are)e(rev)m(ersed)i(to)e (those)120 2954 y(of)32 b(\(56\))g(\(hence)i(holonomies)c(are)j(in)m(v) m(erses\),)i(w)m(e)e(ev)m(en)m(tually)g(get)g(\(66\).)120 3242 y Fo(11.2)136 b(The)44 b(translation-symmetric)j(triple)f(w)l (ell.)120 3427 y Fy(11.2.1)113 b(Direct)35 b(metho)s(d.)120 3612 y FB(The)41 b(critical)c(energy)k(area)e(mak)m(es)i(here)f(a)g (transition)e(b)s(et)m(w)m(een)k(triplets)d(\()p Fw(E)46 b(<)39 b FB(0\))h(and)120 3732 y(pairs)32 b(\()p Fw(E)i(>)27 b FB(0\))32 b(of)h(exp)s(onen)m(tially)e(close)i(eigen)m(v)-5 b(alues.)266 3853 y(The)34 b(semi-classical)c(in)m(v)-5 b(arian)m(ts)31 b(of)h(this)h(situation)e(are:)265 4052 y Fs(\017)49 b FB(t)m(w)m(o)33 b(\\small")d(cycles)k(ha)m(ving)e(the)h (same)f(holonom)m(y)g(denoted)h(b)m(y)h Fw(\013)2919 4015 y Ft(2)265 4254 y Fs(\017)49 b FB(t)m(w)m(o)33 b(\\big")e(cycles,) j(their)e(holonomies)f(are)h Fw(\013)2078 4217 y FC(\000)p Ft(1)2205 4254 y FB(and)g Fw(\013)2457 4217 y FC(\000)p Ft(3)2579 4254 y FB(=)c Fw(a)2734 4217 y Ft(3)2773 4254 y FB(.)265 4455 y Fs(\017)49 b FB(three)33 b(v)m(ertices)h(ha)m(ving)e (the)h(same)g(in)m(v)-5 b(arian)m(t)31 b Fw(")120 4655 y FB(With)h(the)h(notations)f(of)g(\014gure)h(21,)f(w)m(e)h(get:)120 4783 y Fu(0)120 4958 y(B)120 5018 y(B)120 5078 y(B)120 5138 y(B)120 5198 y(B)120 5257 y(B)120 5321 y(@)253 4861 y Fw(a)304 4825 y FC(\000)313 4981 y Fw(z)263 5102 y(b)304 5066 y FC(\000)249 5222 y Fw(x)304 5186 y Ft(+)262 5342 y Fw(c)304 5306 y FC(\000)312 5463 y Fw(y)405 4783 y Fu(1)405 4958 y(C)405 5018 y(C)405 5078 y(C)405 5138 y(C)405 5198 y(C)405 5257 y(C)405 5321 y(A)520 5163 y FB(=)623 4962 y Fu(0)623 5142 y(@)752 5042 y Fw(T)14 b FB(\()p Fw(")p FB(\))154 b(0)226 b(0)823 5162 y(0)155 b Fw(T)14 b FB(\()p Fw(")p FB(\))154 b(0)823 5282 y(0)227 b(0)154 b Fw(T)14 b FB(\()p Fw(")p FB(\))1536 4962 y Fu(1)1536 5142 y(A)1640 4783 y(0)1640 4958 y(B)1640 5018 y(B)1640 5078 y(B)1640 5138 y(B)1640 5198 y(B)1640 5257 y(B)1640 5321 y(@)1782 4861 y Fw(c)1824 4825 y Ft(+)1768 4981 y Fw(x)1823 4945 y FC(\000)1773 5102 y Fw(a)1824 5066 y Ft(+)1832 5222 y Fw(y)1782 5342 y(b)1823 5306 y Ft(+)1833 5463 y Fw(z)1924 4783 y Fu(1)1924 4958 y(C)1924 5018 y(C)1924 5078 y(C)1924 5138 y(C)1924 5198 y(C)1924 5257 y(C)1924 5321 y(A)2039 5163 y FB(=)2143 4783 y Fu(0)2143 4958 y(B)2143 5018 y(B)2143 5078 y(B)2143 5138 y(B)2143 5198 y(B)2143 5257 y(B)2143 5321 y(@)2298 4861 y FB(0)136 b(0)110 b(1)p Fw(=\013)83 b FB(0)110 b(0)f(0)2298 4981 y(0)136 b(0)166 b(0)138 b(0)110 b(0)f(1)2298 5102 y(0)136 b(0)166 b(0)138 b(0)83 b Fw(\013)3080 5066 y Ft(2)3202 5102 y FB(0)2298 5222 y(0)110 b Fw(\013)2520 5186 y Ft(3)2698 5222 y FB(0)138 b(0)110 b(0)f(0)2272 5342 y Fw(\013)2335 5306 y Ft(2)2483 5342 y FB(0)166 b(0)138 b(0)110 b(0)f(0)2298 5463 y(0)136 b(0)166 b(0)138 b(1)110 b(0)f(0)3292 4783 y Fu(1)3292 4958 y(C)3292 5018 y(C)3292 5078 y(C)3292 5138 y(C)3292 5198 y(C)3292 5257 y(C)3292 5321 y(A)3396 4783 y(0)3396 4958 y(B)3396 5018 y(B)3396 5078 y(B)3396 5138 y(B)3396 5198 y(B)3396 5257 y(B)3396 5321 y(@)3538 4861 y Fw(c)3580 4825 y Ft(+)3525 4981 y Fw(x)3580 4945 y FC(\000)3529 5102 y Fw(a)3580 5066 y Ft(+)3588 5222 y Fw(y)3539 5342 y(b)3580 5306 y Ft(+)3589 5463 y Fw(z)3681 4783 y Fu(1)3681 4958 y(C)3681 5018 y(C)3681 5078 y(C)3681 5138 y(C)3681 5198 y(C)3681 5257 y(C)3681 5321 y(A)1781 5712 y FB(35)p eop %%Page: 36 36 36 35 bop 120 4639 a @beginspecial @setspecial %%BeginDocument: ptriple.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -2.0 509.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-iso isovec ReEncode /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 11584 m -1000 -1000 l 10125 -1000 l 10125 11584 l cp clip 0.04800 0.04800 sc % Arc 7.500 slw gs n 4161.5 3787.5 1013.2 -141.0 -39.0 arc gs col0 s gr gr % Arc gs n 4124.0 3443.8 981.2 147.2 32.8 arcn gs col0 s gr gr % Arc gs n 6561.5 3787.5 1013.2 -141.0 -39.0 arc gs col0 s gr gr % Arc gs n 6599.0 3443.8 981.2 147.2 32.8 arcn gs col0 s gr gr % Arc gs clippath 4130 4006 m 4247 4047 l 4125 4066 l 4286 4081 l 4292 4022 l cp clip n 4236.5 3637.5 414.2 -84.8 84.8 arcn gs col0 s gr gr % arrowhead n 4130 4006 m 4247 4047 l 4125 4066 l col0 s % Arc gs clippath 6305 3931 m 6422 3972 l 6300 3991 l 6461 4006 l 6467 3947 l cp clip n 6411.5 3562.5 414.2 -84.8 84.8 arcn gs col0 s gr gr % arrowhead n 6305 3931 m 6422 3972 l 6300 3991 l col0 s % Arc gs clippath 7021 4563 m 6917 4630 l 6977 4522 l 6867 4641 l 6911 4681 l cp clip n 7686.5 5272.5 1003.8 -38.3 -141.7 arcn gs col0 s gr gr % arrowhead n 7021 4563 m 6917 4630 l 6977 4522 l col0 s % Arc gs clippath 4911 8724 m 5007 8646 l 4959 8760 l 5057 8631 l 5009 8595 l cp clip n 4199.0 8093.8 981.2 147.2 32.8 arcn gs col0 s gr gr % arrowhead n 4911 8724 m 5007 8646 l 4959 8760 l col0 s % Arc gs clippath 3422 7564 m 3317 7630 l 3378 7523 l 3267 7640 l 3311 7682 l cp clip n 4086.5 8287.5 1013.2 -141.0 -39.0 arc gs col0 s gr gr % arrowhead n 3422 7564 m 3317 7630 l 3378 7523 l col0 s % Arc gs n 1724.0 3443.8 981.2 147.2 32.8 arcn gs col0 s gr gr % Arc gs n 1761.5 3862.5 1013.2 -141.0 -39.0 arc gs col0 s gr gr % Arc gs clippath 1505 3931 m 1622 3972 l 1500 3991 l 1661 4006 l 1667 3947 l cp clip n 1611.5 3562.5 414.2 -84.8 84.8 arcn gs col0 s gr gr % arrowhead n 1505 3931 m 1622 3972 l 1500 3991 l col0 s % Arc gs clippath 3439 10185 m 3390 10071 l 3487 10149 l 3389 10020 l 3341 10056 l cp clip n 4199.0 9518.8 981.2 147.2 32.8 arcn gs col0 s gr gr % arrowhead n 3439 10185 m 3390 10071 l 3487 10149 l col0 s % Arc gs clippath 5972 9139 m 5867 9205 l 5928 9098 l 5817 9215 l 5861 9257 l cp clip n 6636.5 9862.5 1013.2 -141.0 -39.0 arc gs col0 s gr gr % arrowhead n 5972 9139 m 5867 9205 l 5928 9098 l col0 s % Arc gs clippath 1039 6810 m 990 6696 l 1087 6774 l 989 6645 l 941 6681 l cp clip n 1799.0 6143.8 981.2 147.2 32.8 arcn gs col0 s gr gr % arrowhead n 1039 6810 m 990 6696 l 1087 6774 l col0 s % Arc gs clippath 3439 6810 m 3390 6696 l 3487 6774 l 3389 6645 l 3341 6681 l cp clip n 4199.0 6143.8 981.2 147.2 32.8 arcn gs col0 s gr gr % arrowhead n 3439 6810 m 3390 6696 l 3487 6774 l col0 s % Arc gs clippath 5914 6735 m 5865 6621 l 5962 6699 l 5864 6570 l 5816 6606 l cp clip n 6674.0 6068.8 981.2 147.2 32.8 arcn gs col0 s gr gr % arrowhead n 5914 6735 m 5865 6621 l 5962 6699 l col0 s % Arc gs clippath 965 10260 m 916 10146 l 1013 10224 l 915 10095 l 867 10131 l cp clip n 1725.0 9593.8 981.2 147.2 32.8 arcn gs col0 s gr gr % arrowhead n 965 10260 m 916 10146 l 1013 10224 l col0 s % Polyline n 2549 3975 m 3374 3150 l gs col0 s gr % Polyline n 2474 3150 m 3299 3975 l gs col0 s gr % Polyline n 4949 3150 m 5774 3975 l gs col0 s gr % Polyline n 4949 3975 m 5774 3150 l gs col0 s gr % Polyline n 7424 3975 m 8249 3150 l gs col0 s gr % Polyline n 7349 3150 m 8174 3975 l gs col0 s gr % Polyline [60] 0 sd n 7799 5475 m 7799 1650 l gs col0 s gr [] 0 sd % Polyline n 4049 2550 m 4049 2925 l gs col0 s gr % Polyline n 4124 2550 m 4124 2925 l gs col0 s gr % Polyline n 6449 2550 m 6449 2925 l gs col0 s gr % Polyline n 6524 2550 m 6524 2925 l gs col0 s gr % Polyline n 6524 4275 m 6524 4575 l gs col0 s gr % Polyline n 6599 4275 m 6599 4575 l gs col0 s gr % Polyline n 2924 6225 m 3374 6675 l gs col0 s gr % Polyline n 5399 6150 m 5849 6600 l gs col0 s gr % Polyline n 7499 6600 m 7874 6075 l gs col0 s gr % Polyline n 2938 8185 m 3313 7660 l gs col0 s gr % Polyline n 4874 7650 m 5324 8100 l gs col0 s gr % Polyline n 2924 8175 m 3374 8625 l gs col0 s gr % Polyline n 4992 6705 m 5367 6180 l gs col0 s gr % Polyline n 4984 8650 m 5359 8125 l gs col0 s gr % Polyline [60] 0 sd gs clippath 8627 3570 m 8747 3600 l 8627 3630 l 8789 3630 l 8789 3570 l cp clip n 1724 3600 m 8774 3600 l gs col0 s gr gr [] 0 sd % arrowhead n 8627 3570 m 8747 3600 l 8627 3630 l col0 s % Polyline n 149 4050 m 974 3225 l gs col0 s gr % Polyline n 74 3150 m 899 3975 l gs col0 s gr % Polyline [60] 0 sd gs clippath 569 1722 m 599 1602 l 629 1722 l 629 1560 l 569 1560 l cp clip n 599 5625 m 599 1575 l gs col0 s gr gr [] 0 sd % arrowhead n 569 1722 m 599 1602 l 629 1722 l col0 s % Polyline n 1649 2625 m 1649 3000 l gs col0 s gr % Polyline n 1724 2625 m 1724 3000 l gs col0 s gr % Polyline [60] 0 sd n 599 3600 m 1649 3600 l gs col0 s gr [] 0 sd % Polyline n 2592 6705 m 2967 6180 l gs col0 s gr % Polyline n 524 6225 m 974 6675 l gs col0 s gr % Polyline n 5024 10050 m 5849 9225 l gs col0 s gr % Polyline n 7424 9225 m 7874 9675 l gs col0 s gr % Polyline n 2924 9599 m 3374 10049 l gs col0 s gr % Polyline n 2550 10125 m 2925 9600 l gs col0 s gr % Polyline n 450 9675 m 900 10125 l gs col0 s gr $F2psEnd rs %%EndDocument @endspecial 3125 1965 a FD(x)24 b Fd(=)e(2)p FD(\031)2015 1545 y(b)2051 1515 y Fc(\000)1445 1575 y FD(b)1481 1545 y Fb(+)2375 2235 y FD(x)2422 2205 y Fb(+)1565 3465 y FD(\013)1625 3945 y(\013)2765 1485 y(a)2809 1455 y Fc(\000)2465 1545 y FD(a)2509 1515 y Fb(+)3635 1875 y FD(x)3005 2115 y(x)3052 2085 y Fc(\000)3155 1755 y FD(")2165 1965 y(")965 1545 y(c)1001 1515 y Fc(\000)545 1575 y FD(c)581 1545 y Fb(+)365 1995 y FD(x)h Fd(=)g(0)1085 1965 y FD(")2645 4095 y(\013)1625 4485 y(\013)1678 4455 y Fc(\000)p Fb(1)1505 2775 y Fd(cycle)k FD(x)p Fd(:)38 b FD(\013)1871 2745 y Fc(\000)p Fb(3)515 3675 y Fd(cycles)27 b FD(b)g Fd(et)h FD(c)p Fd(:)37 b FD(\013)1062 3645 y Fb(2)245 975 y FD(\030)695 3165 y(\013)748 3135 y Fc(\000)p Fb(1)1655 3165 y FD(\013)1708 3135 y Fc(\000)p Fb(1)852 b FD(\013)2698 3105 y Fc(\000)p Fb(1)605 4575 y FD(\013)658 4545 y Fc(\000)p Fb(1)1655 4245 y Fd(cycle)27 b FD(a)p Fd(:)37 b FD(\013)2017 4215 y Fc(\000)p Fb(1)605 4842 y FB(Figure)32 b(21:)43 b(the)33 b(translation-symmetric)c(triple)i(w)m(ell)h(p)s(oten)m(tial)1781 5712 y(36)p eop %%Page: 37 37 37 36 bop 120 407 a FB(F)-8 b(actoring)39 b Fs(E)49 b FB(in)39 b(the)i Fw(T)14 b FB(\()p Fw(")p FB(\))40 b(matrix)f(\(see)j (\(19\)\),)f(w)m(e)h(get)e(the)h(quan)m(tization)f(rule)g(as)h(the)120 527 y(n)m(ullit)m(y)31 b(of)h(the)h(determinan)m(t)f(of)g(a)h(6)22 b Fs(\002)g FB(6)33 b(matrix:)585 610 y Fu(\014)585 670 y(\014)585 729 y(\014)585 789 y(\014)585 849 y(\014)585 909 y(\014)585 968 y(\014)585 1028 y(\014)585 1088 y(\014)585 1148 y(\014)585 1208 y(\014)585 1267 y(\014)660 692 y FB(1)324 b Fw(ie)1111 655 y FC(\000)p Fv(\031)r(")1406 692 y Fs(\000)p FB(1)p Fw(=)p FB(\()p Fw(\013)q Fs(E)9 b FB(\))82 b(0)270 b(0)324 b(0)660 812 y Fw(ie)738 776 y FC(\000)p Fv(\031)r(")1033 812 y FB(1)g(0)409 b(0)270 b(0)324 b Fs(\000)p FB(1)p Fw(=)p Fs(E)660 932 y FB(0)g(0)g(1)409 b Fw(ie)1942 896 y FC(\000)p Fv(\031)r(")2183 932 y Fs(\000)p Fw(\013)2323 896 y Ft(2)2363 932 y Fw(=)p Fs(E)91 b FB(0)660 1053 y(0)324 b Fs(\000)p Fw(\013)1173 1017 y Ft(3)1213 1053 y Fw(=)p Fs(E)91 b Fw(ie)1484 1017 y FC(\000)p Fv(\031)r(")1864 1053 y FB(1)270 b(0)324 b(0)660 1173 y Fs(\000)p Fw(\013)800 1137 y Ft(2)840 1173 y Fw(=)p Fs(E)91 b FB(0)324 b(0)409 b(0)270 b(1)324 b Fw(ie)2634 1137 y FC(\000)p Fv(\031)r(")660 1293 y FB(0)g(0)g(0)409 b Fs(\000)p FB(1)p Fw(=)p Fs(E)91 b Fw(ie)2261 1257 y FC(\000)p Fv(\031)r(")2556 1293 y FB(1)2834 610 y Fu(\014)2834 670 y(\014)2834 729 y(\014)2834 789 y(\014)2834 849 y(\014)2834 909 y(\014)2834 968 y(\014)2834 1028 y(\014)2834 1088 y(\014)2834 1148 y(\014)2834 1208 y(\014)2834 1267 y(\014)2895 993 y FB(=)28 b(0)p Fw(:)120 1460 y FB(This)33 b(determinan)m(t)f(can)h(b)s(e)f(factored)h(as:)372 1632 y(\()p Fw(\013)23 b Fs(\000)g(E)9 b FB(\(1)21 b Fs(\000)i Fw(ie)943 1591 y FC(\000)p Fv(\031)r(")1078 1632 y FB(\)\)\()p Fw(\013)f Fs(\000)h(E)9 b FB(\(1)21 b(+)h Fw(ie)1722 1591 y FC(\000)p Fv(\031)r(")1857 1632 y FB(\)\))1950 1552 y Fu(\000)1995 1632 y Fw(\013)2058 1591 y Ft(2)2120 1632 y FB(+)g Fw(\013)q Fs(E)30 b FB(+)22 b Fs(E)2524 1591 y Ft(2)2563 1632 y FB(\(1)g(+)g Fw(e)2815 1591 y FC(\000)p Ft(2)p Fv(\031)r(")2985 1632 y FB(\))3023 1552 y Fu(\001)3068 1574 y Ft(2)3135 1632 y FB(=)28 b(0)120 1805 y(Hence)34 b(w)m(e)g(\014nd)f(t)m(w)m(o)g(simple)e(eigen)m(v)-5 b(alues,)33 b(solutions)e(of:)1434 1978 y Fs(E)9 b FB(\(1)21 b Fs(\000)i Fw(ie)1782 1937 y FC(\000)p Fv(\031)r(")1917 1978 y FB(\))k(=)h Fs(\006)p Fw(\013)120 2151 y FB(and)33 b(t)m(w)m(o)g(eigen)m(v)-5 b(alues)32 b(of)h(m)m(ultiplicit)m(y)c(2,)j (solutions)f(of:)1162 2393 y Fs(E)36 b FB(=)28 b Fw(\013)1428 2324 y Fs(\000)p FB(1)22 b Fs(\006)h Fw(i)1709 2239 y Fu(p)p 1809 2239 680 4 v 85 x FB(4\(1)e(+)h Fw(e)2109 2295 y FC(\000)p Ft(2)p Fv(\031)r(")2279 2324 y FB(\))g Fs(\000)h FB(1)p 1428 2371 1061 4 v 1703 2462 a(2\(1)f(+)g Fw(e)2004 2433 y FC(\000)p Ft(2)p Fv(\031)r(")2174 2462 y FB(\))120 2617 y(If)30 b(w)m(e)g(mak)m(e)g(a)f(zo)s(om-out)f(of)h (the)h(eigen)m(v)-5 b(alues)30 b(near)f(0,)h(their)f(repartition)f (will)f(b)s(e)j(asymp-)120 2737 y(totically)25 b(the)j(same)g(as)g(the) g(repartition)e(of)h(the)h(follo)m(wing)d(complexes)j(on)g(the)g(unit)f (circle:)1050 2908 y Fs(\000)p FB(1)22 b Fs(\006)h Fw(i)p 1050 2952 282 4 v 1124 2972 a Fs(p)p 1207 2972 49 4 v 82 x FB(2)1341 2975 y(\(simple)n(\))p Fw(;)1840 2908 y Fs(\000)p FB(1)f Fs(\006)h Fw(i)2121 2825 y Fs(p)p 2204 2825 V 83 x FB(7)p 1840 2952 414 4 v 1956 3054 a(2)2005 2972 y Fs(p)p 2088 2972 49 4 v 82 x FB(2)2263 2975 y(\(double)o(\))120 3198 y(Therefore)31 b(the)f(transition)e(area)i(lo)s(oks)f(lik)m(e)g (\014gure)h(22)f(where)i(w)m(e)g(ha)m(v)m(e)g(used)g(a)f(b)s(old)e(lev) m(el)120 3318 y(for)k(double)g(eigen)m(v)-5 b(alues)33 b(on)f(the)h(ladder)120 3571 y Fy(11.2.2)113 b(The)37 b(trace)g(metho)s(d.)120 3755 y FB(W)-8 b(e)47 b(study)g(the)g(trace)g (of)f(the)h(translation)d(matrix)h(on)i(one)f(third)g(of)g(a)g(p)s (erio)s(d.)84 b(The)120 3876 y(p)s(erio)s(dicit)m(y/an)m(ti-p)s(erio)s (dicit)m(y)28 b(of)k(eigenfunctions)g(is)g(replaced)h(b)m(y)g(the)g (relation:)1320 4093 y Fw(f)11 b FB(\()p Fw(x)22 b FB(+)1602 4026 y(2)p Fw(\031)p 1602 4070 108 4 v 1632 4161 a FB(3)1720 4093 y(\))28 b(=)f Fw(e)1934 4052 y Ft(2)p Fv(ik)r(\031)r(=)p Ft(3)2150 4093 y Fw(f)11 b FB(\()p Fw(x)p FB(\))120 4291 y(Remark)32 b(that)h Fw(k)e FB(=)c(1)33 b(and)f Fw(k)f FB(=)d(2)k(corresp)s(ond)i(to)e(eigenfunctions)g(that)h(are)g (conjugated,)120 4412 y(this)i(explains)h(the)g(fact)g(that)f(eigen)m (v)-5 b(alues)36 b(of)f(m)m(ultiplicit)m(y)d(2)k(corresp)s(ond)g(to)g (a)f(trace)h(of)120 4532 y(2)17 b(cos\(2)p Fw(\031)t(=)p FB(3\).)60 b(The)39 b(non)g(degenerate)g(eigen)m(v)-5 b(alues)39 b(corresp)s(ond)g(to)f(eigenfunctions)g(that)120 4653 y(are)44 b(2)p Fw(\031)t(=)p FB(3)f(p)s(erio)s(dic,)i(the)f (transition)e(of)i(these)h(eigen)m(v)-5 b(alues)43 b(will)f(therefore)i (b)s(e)g(similar)120 4773 y(to)c(the)h(transition)e(of)h(the)h(eigen)m (v)-5 b(alues)40 b(of)h(the)f(single)g(p)s(endulum.)67 b(F)-8 b(or)39 b(m)m(ultiplicit)m(y)e(2)120 4893 y(eigen)m(v)-5 b(alues,)33 b(w)m(e)g(get:)636 5118 y(cos)783 4977 y Fu(\022)857 5118 y FB(arg)q(\()p Fw(\013)q FB(\))21 b(+)h Fw(")17 b FB(ln)o(\()p Fw(h)p FB(\))22 b(+)g(arg)17 b(\000\()1910 5050 y(1)p 1910 5095 49 4 v 1910 5186 a(2)1991 5118 y(+)22 b Fw(i")p FB(\))2206 4977 y Fu(\023)2307 5118 y FB(=)28 b Fs(\006)2732 5050 y FB(1)p 2498 5095 516 4 v 2498 5197 a(2)2547 5115 y Fs(p)p 2630 5115 384 4 v 82 x FB(1)22 b(+)g Fw(e)2844 5168 y FC(\000)p Ft(2)p Fv(\031)r(")120 5342 y FB(As)40 b(an)f(easy)h(consequence,)k(w)m(e)c(obtain)e(for)h Fw(")g FB(=)f(0)h(the)h(same)f(description)g(as)g(in)g(\014gure)120 5463 y(\(22\).)1781 5712 y(37)p eop %%Page: 38 38 38 37 bop 120 2049 a @beginspecial @setspecial %%BeginDocument: univers.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -46.0 247.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-iso isovec ReEncode /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 6862 m -1000 -1000 l 6832 -1000 l 6832 6862 l cp clip 0.04200 0.04200 sc % Arc 7.500 slw gs n 3663.8 3375.0 1720.3 -124.1 124.1 arcn gs col0 s gr gr % Polyline n 1125 5400 m 1425 5400 l gs col0 s gr % Polyline 15.000 slw n 1125 5250 m 1425 5250 l gs col0 s gr % Polyline 7.500 slw n 2775 4875 m 3075 4875 l gs col0 s gr % Polyline n 2775 4350 m 3075 4350 l gs col0 s gr % Polyline 15.000 slw n 2775 3750 m 3075 3750 l gs col0 s gr % Polyline n 2775 2550 m 3075 2550 l gs col0 s gr % Polyline 7.500 slw [60] 0 sd n 1275 5850 m 1275 1275 l gs col0 s gr [] 0 sd % Polyline [60] 0 sd n 2925 5850 m 2925 1275 l gs col0 s gr [] 0 sd % Polyline n 2775 1950 m 3075 1950 l gs col0 s gr % Polyline n 2775 1425 m 3075 1425 l gs col0 s gr % Polyline [60] 0 sd n 5625 5850 m 5625 1275 l gs col0 s gr [] 0 sd % Polyline n 5475 5400 m 5775 5400 l gs col0 s gr % Polyline 15.000 slw n 5475 4875 m 5775 4875 l gs col0 s gr % Polyline n 5475 4350 m 5775 4350 l gs col0 s gr % Polyline 7.500 slw n 5475 1875 m 5775 1875 l gs col0 s gr % Polyline n 5475 3825 m 5775 3825 l gs col0 s gr % Polyline n 5475 3300 m 5775 3300 l gs col0 s gr % Polyline 15.000 slw n 5475 2850 m 5775 2850 l gs col0 s gr % Polyline n 5475 2325 m 5775 2325 l gs col0 s gr % Polyline n 1125 3525 m 1425 3525 l gs col0 s gr % Polyline 7.500 slw n 1125 3675 m 1425 3675 l gs col0 s gr % Polyline n 1125 4350 m 1425 4350 l gs col0 s gr % Polyline 15.000 slw n 1125 4500 m 1425 4500 l gs col0 s gr % Polyline n 1125 2775 m 1425 2775 l gs col0 s gr % Polyline 7.500 slw n 1125 2625 m 1425 2625 l gs col0 s gr $F2psEnd rs %%EndDocument @endspecial 653 365 a Fv(E)23 b Ft(=)c(0)-709 b Fv(E)23 b(<)c Ft(0)836 1651 y Fv(\031)r(=)p Ft(2)836 601 y Fv(\031)r(=)p Ft(2)443 1205 y(2)p Fv(\031)1598 365 y(E)k(>)c Ft(0)836 811 y(3)p Fv(\031)r(=)p Ft(4)e FC(\000)f Ft(atan)q(\()1236 756 y FC(p)p 1295 756 36 3 v 55 x Ft(7\))810 1126 y(2atan)r(\()1010 1071 y FC(p)p 1069 1071 V 55 x Ft(7\))810 1441 y(3)p Fv(\031)r(=)p Ft(4)h FC(\000)e Ft(atan)q(\()1209 1386 y FC(p)p 1269 1386 V 1269 1441 a Ft(7\))792 2253 y FB(Figure)32 b(22:)43 b(univ)m(ersal)32 b(transition)f(for)h(the)h(triple)e(w)m(ell) 120 2535 y Fx(12)161 b(Scattering)53 b(matrices)120 2783 y Fo(12.1)136 b(One)45 b(c)l(hannel)g(scattering.)120 2968 y FB(W)-8 b(e)37 b(are)g(in)m(terested)h(in)e(an)h(example)f (studied)i(b)m(y)f(Rouleux)g(\([17]\).)56 b(Let)37 b Fw(V)22 b FB(\()p Fw(x)p FB(\))37 b(b)s(e)g(a)f Fw(C)3465 2932 y FC(1)120 3089 y FB(p)s(oten)m(tial)31 b(suc)m(h)j(that)e(\(see)i (\014gure)f(23\):)265 3289 y Fs(\017)49 b Fw(V)21 b FB(\()p Fw(x)p FB(\))28 b(=)g(0)k(for)g Fw(x)c Fs(\025)h Fw(x)1179 3304 y Ft(1)1246 3289 y Fw(>)f FB(0)265 3491 y Fs(\017)49 b Fw(V)21 b FB(\(0\))28 b(=)f Fw(V)755 3506 y Ft(0)822 3491 y Fw(>)h FB(0,)k Fw(V)1113 3455 y FC(0)1136 3491 y FB(\(0\))27 b(=)h(0)k(and)h Fw(V)1741 3455 y FC(0)5 b(0)1788 3491 y FB(\(0\))27 b Fw(<)h FB(0.)265 3693 y Fs(\017)49 b Fw(V)442 3657 y FC(\000)p Ft(1)537 3693 y FB(\()p Fw(V)632 3708 y Ft(0)671 3693 y FB(\))28 b(=)f Fs(f)p Fw(x)945 3708 y Ft(0)985 3693 y Fw(;)17 b FB(0)p Fs(g)32 b FB(for)g(an)g Fw(x)1499 3708 y Ft(0)1567 3693 y Fw(<)27 b FB(0)33 b(suc)m(h)h(that)e Fw(V)2261 3657 y FC(0)2285 3693 y FB(\()p Fw(x)2378 3708 y Ft(0)2418 3693 y FB(\))27 b Fw(<)h FB(0.)120 3893 y(Hence)34 b Fw(V)488 3857 y FC(\000)p Ft(1)583 3893 y FB(\(\()p Fs(\0001)p Fw(;)17 b(V)937 3908 y Ft(0)976 3893 y FB(]\))27 b(=)h([)p Fw(x)1254 3908 y Ft(0)1294 3893 y Fw(;)17 b FB(+)p Fs(1)p FB(\(.)266 4013 y(Let)33 b Fw(k)e(>)c FB(0.)44 b(The)33 b(Sc)m(hr\177)-49 b(odinger)33 b(equation)1337 4283 y Fs(\000)1424 4216 y Fw(h)1480 4180 y Ft(2)p 1424 4260 96 4 v 1448 4351 a FB(2)1530 4283 y Fw(')1594 4242 y FC(0)t(0)1663 4283 y FB(+)22 b Fw(V)f FB(\()p Fw(x)p FB(\))p Fw(')28 b FB(=)g Fw(k)2220 4242 y Ft(2)2259 4283 y Fw(')120 4534 y FB(has)33 b(a)f(unique)h(solution)e Fw(')d Fs(2)g Fw(L)1313 4498 y Ft(2)1353 4534 y FB(\()p Fq(R)1457 4498 y FC(\000)1522 4534 y FB(\),)k(suc)m(h)i(that:)1023 4765 y Fw(')27 b FB(=)h Fw(r)s FB(\()p Fw(k)s FB(\))p Fw(e)1440 4724 y Fv(i)1464 4669 y FC(p)p 1523 4669 36 3 v 55 x Ft(2)p Fv(k)r(x=h)1738 4765 y FB(+)22 b Fw(e)1881 4724 y FC(\000)p Fv(i)1960 4669 y FC(p)p 2019 4669 V 55 x Ft(2)q Fv(k)r(x=h)2213 4765 y Fw(;)114 b(x)28 b Fs(\025)g Fw(x)2597 4780 y Ft(1)120 4981 y FB(It)36 b(is)f(w)m(ell)f (kno)m(w)j(that)e Fw(r)s FB(\()p Fw(k)s FB(\))g(has)h(mo)s(dulus)f(1,)h Fw(r)s FB(\()p Fw(k)s FB(\))f(is)g(called)f(the)i Fp(r)-5 b(e\015e)g(ction)38 b(c)-5 b(o)g(e\016cient)p FB(.)120 5102 y(Using)33 b(the)i(previous)f(metho)s(ds,)g(w)m(e)g(will)e (calculate)h Fw(r)s FB(\()p Fw(k)s FB(\))g(up)h(to)f(an)h(error)g(of)f (order)h Fw(O)s FB(\()p Fw(h)p FB(\))120 5222 y(for)e Fw(k)f FB(=)454 5145 y Fs(p)p 537 5145 97 4 v 77 x Fw(V)594 5237 y Ft(0)656 5222 y FB(+)22 b Fw(O)s FB(\()p Fw(h)p FB(\).)266 5342 y(Let)38 b Fw(W)538 5357 y Fv(o)613 5342 y FB(=)726 5266 y Fs(p)p 809 5266 V 76 x Fw(V)866 5357 y Ft(0)905 5342 y FB(.)59 b(W)-8 b(e)38 b(ma)m(y)g(write)f Fw(k)j FB(=)c Fw(W)1930 5357 y Ft(0)1995 5342 y FB(+)26 b Fw(h!)41 b FB(with)d Fw(!)h FB(=)e Fw(O)s FB(\(1\).)58 b(Hence,)40 b Fw(H)3388 5357 y Ft(0)3464 5342 y FB(=)130 5424 y Ft(1)p 130 5440 36 4 v 130 5497 a(2)175 5463 y Fw(\030)223 5427 y Ft(2)284 5463 y FB(+)22 b Fw(V)g FB(\()p Fw(x)p FB(\))g Fs(\000)h Fw(V)771 5478 y Ft(0)843 5463 y FB(and)32 b Fw(H)1113 5478 y Ft(1)1180 5463 y FB(=)c Fs(\000)p Fw(W)1453 5478 y Ft(0)1493 5463 y Fw(!)t FB(.)1781 5712 y(38)p eop %%Page: 39 39 39 38 bop 381 2302 a @beginspecial @setspecial %%BeginDocument: V1canal.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -15.0 228.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 6412 m -1000 -1000 l 9826 -1000 l 9826 6412 l cp clip 0.04200 0.04200 sc % Polyline 7.500 slw gs clippath 8328 3570 m 8448 3600 l 8328 3630 l 8490 3630 l 8490 3570 l cp clip n 675 3600 m 8475 3600 l gs col0 s gr gr % arrowhead n 8328 3570 m 8448 3600 l 8328 3630 l col0 s % Polyline gs clippath 3570 1047 m 3600 927 l 3630 1047 l 3630 885 l 3570 885 l cp clip n 3600 5400 m 3600 900 l gs col0 s gr gr % arrowhead n 3570 1047 m 3600 927 l 3630 1047 l col0 s % Polyline [60] 0 sd n 825 2850 m 4575 2850 l gs col0 s gr [] 0 sd % Polyline n 4800 3525 m 4800 3675 l gs col0 s gr % Polyline [60] 0 sd n 1350 2850 m 1350 3600 l gs col0 s gr [] 0 sd % Polyline n 375 1200 m 376 1201 l 378 1204 l 381 1209 l 386 1218 l 394 1230 l 404 1247 l 417 1267 l 433 1293 l 452 1323 l 474 1357 l 498 1396 l 525 1439 l 554 1486 l 584 1535 l 617 1587 l 650 1641 l 685 1697 l 719 1753 l 754 1810 l 789 1867 l 824 1923 l 858 1979 l 891 2034 l 924 2087 l 955 2139 l 986 2190 l 1015 2239 l 1044 2286 l 1071 2333 l 1098 2377 l 1123 2421 l 1147 2463 l 1171 2504 l 1194 2543 l 1216 2582 l 1237 2620 l 1258 2658 l 1278 2695 l 1298 2731 l 1318 2767 l 1337 2803 l 1356 2839 l 1375 2875 l 1396 2915 l 1416 2954 l 1436 2994 l 1457 3035 l 1477 3075 l 1497 3116 l 1518 3158 l 1538 3200 l 1559 3242 l 1579 3285 l 1600 3328 l 1621 3371 l 1641 3414 l 1662 3458 l 1683 3502 l 1703 3545 l 1724 3589 l 1744 3633 l 1764 3676 l 1784 3719 l 1804 3761 l 1824 3803 l 1843 3845 l 1862 3885 l 1881 3925 l 1899 3964 l 1917 4002 l 1934 4039 l 1951 4075 l 1968 4110 l 1984 4144 l 2000 4176 l 2015 4208 l 2030 4239 l 2045 4268 l 2059 4296 l 2073 4324 l 2086 4350 l 2099 4376 l 2113 4400 l 2132 4436 l 2151 4470 l 2170 4503 l 2189 4534 l 2208 4564 l 2226 4593 l 2245 4620 l 2263 4646 l 2281 4670 l 2299 4693 l 2317 4714 l 2335 4733 l 2352 4751 l 2369 4768 l 2386 4783 l 2402 4796 l 2417 4807 l 2432 4817 l 2447 4826 l 2461 4833 l 2475 4838 l 2488 4843 l 2501 4846 l 2513 4848 l 2526 4850 l 2538 4850 l 2550 4850 l 2563 4848 l 2576 4845 l 2589 4842 l 2603 4837 l 2616 4830 l 2630 4822 l 2645 4812 l 2659 4801 l 2674 4788 l 2690 4773 l 2705 4757 l 2721 4738 l 2737 4719 l 2753 4697 l 2769 4674 l 2785 4649 l 2801 4623 l 2817 4596 l 2834 4567 l 2850 4537 l 2866 4506 l 2883 4472 l 2900 4438 l 2912 4412 l 2925 4385 l 2938 4357 l 2951 4328 l 2964 4298 l 2978 4266 l 2992 4234 l 3007 4200 l 3021 4166 l 3036 4130 l 3052 4093 l 3067 4056 l 3083 4018 l 3099 3979 l 3115 3940 l 3131 3900 l 3147 3861 l 3162 3821 l 3178 3781 l 3194 3742 l 3209 3703 l 3224 3665 l 3239 3627 l 3253 3590 l 3268 3554 l 3281 3518 l 3294 3484 l 3307 3451 l 3320 3419 l 3331 3388 l 3343 3358 l 3354 3330 l 3365 3302 l 3375 3275 l 3390 3235 l 3405 3198 l 3419 3162 l 3432 3127 l 3445 3094 l 3458 3063 l 3471 3033 l 3483 3005 l 3494 2979 l 3505 2955 l 3516 2933 l 3527 2912 l 3537 2895 l 3546 2879 l 3556 2865 l 3564 2854 l 3573 2845 l 3581 2837 l 3589 2832 l 3597 2828 l 3605 2826 l 3613 2825 l 3623 2826 l 3635 2830 l 3647 2837 l 3659 2846 l 3672 2857 l 3685 2871 l 3699 2887 l 3713 2905 l 3726 2924 l 3740 2945 l 3753 2966 l 3766 2988 l 3778 3010 l 3790 3032 l 3802 3053 l 3813 3075 l 3822 3094 l 3831 3113 l 3841 3133 l 3851 3153 l 3860 3173 l 3870 3194 l 3881 3215 l 3891 3235 l 3902 3256 l 3912 3275 l 3923 3295 l 3934 3313 l 3945 3330 l 3956 3346 l 3967 3361 l 3978 3375 l 3989 3388 l 4000 3400 l 4012 3411 l 4024 3421 l 4037 3431 l 4051 3441 l 4065 3450 l 4081 3458 l 4097 3466 l 4114 3474 l 4132 3481 l 4150 3487 l 4169 3493 l 4187 3499 l 4206 3504 l 4225 3509 l 4244 3513 l 4262 3517 l 4281 3521 l 4300 3525 l 4317 3528 l 4335 3532 l 4354 3535 l 4373 3539 l 4393 3543 l 4414 3546 l 4436 3550 l 4458 3554 l 4480 3557 l 4503 3561 l 4527 3564 l 4550 3568 l 4573 3571 l 4596 3574 l 4619 3577 l 4641 3579 l 4662 3582 l 4683 3584 l 4704 3586 l 4725 3588 l 4746 3589 l 4767 3591 l 4788 3592 l 4810 3593 l 4834 3594 l 4859 3595 l 4886 3596 l 4915 3597 l 4946 3597 l 4979 3598 l 5013 3598 l 5046 3599 l 5078 3599 l 5108 3599 l 5132 3600 l 5151 3600 l 5164 3600 l 5172 3600 l 5175 3600 l gs col0 s gr $F2psEnd rs %%EndDocument @endspecial 3247 1694 a Fv(x)1461 723 y(V)16 b Ft(\()p Fv(x)p Ft(\))1908 1747 y Fv(x)1948 1756 y Fr(1)726 1747 y Fv(x)766 1756 y Fr(0)1540 1379 y Fv(V)1581 1388 y Fr(0)946 2505 y FB(Figure)31 b(23:)43 b(1)33 b(c)m(hannel)f(scattering)h(p)s (oten)m(tial.)405 4785 y @beginspecial @setspecial %%BeginDocument: phase1canal.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -30.0 222.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /reencdict 12 dict def /ReEncode { reencdict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop 128 1 255 { newfont /Encoding get exch /.notdef put } for newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def /isovec [ 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron 8#220 /dotlessi 8#230 /oe 8#231 /OE 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot 8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def /Times-Roman /Times-Roman-iso isovec ReEncode /DrawEllipse { /endangle exch def /startangle exch def /yrad exch def /xrad exch def /y exch def /x exch def /savematrix mtrx currentmatrix def x y tr xrad yrad sc 0 0 1 startangle endangle arc closepath savematrix setmatrix } def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 6262 m -1000 -1000 l 9787 -1000 l 9787 6262 l cp clip 0.04200 0.04200 sc % Arc 7.500 slw gs clippath 5189 3911 m 5298 3968 l 5175 3969 l 5332 4008 l 5347 3949 l cp clip n 5368.8 3481.2 495.7 -103.9 95.1 arcn gs col0 s gr gr % arrowhead n 5189 3911 m 5298 3968 l 5175 3969 l col0 s % Arc gs clippath 1985 4029 m 2076 4112 l 1956 4082 l 2099 4159 l 2127 4106 l cp clip n 2304.2 3582.7 579.4 -118.8 110.6 arcn gs col0 s gr gr % arrowhead n 1985 4029 m 2076 4112 l 1956 4082 l col0 s [60] 0 sd % Ellipse n 6675 2625 38 38 0 360 DrawEllipse gs col0 s gr [] 0 sd [60] 0 sd % Ellipse n 6675 4575 38 38 0 360 DrawEllipse gs col0 s gr [] 0 sd % Polyline gs clippath 7353 3570 m 7473 3600 l 7353 3630 l 7515 3630 l 7515 3570 l cp clip n 750 3600 m 7500 3600 l gs col0 s gr gr % arrowhead n 7353 3570 m 7473 3600 l 7353 3630 l col0 s % Polyline gs clippath 4170 1647 m 4200 1527 l 4230 1647 l 4230 1485 l 4170 1485 l cp clip n 4200 5250 m 4200 1500 l gs col0 s gr gr % arrowhead n 4170 1647 m 4200 1527 l 4230 1647 l col0 s % Polyline n 5850 3525 m 5850 3675 l gs col0 s gr % Polyline n 6675 3525 m 6675 3675 l gs col0 s gr % Polyline n 4125 2625 m 4275 2625 l gs col0 s gr % Polyline n 4125 4350 m 4275 4350 l gs col0 s gr % Polyline n 4650 3000 m 4650 3150 l 4800 3075 l gs col0 s gr % Polyline n 4650 4050 m 4725 4125 l 4575 4125 l gs col0 s gr % Polyline [60] 0 sd n 6675 4575 m 6675 2625 l gs col0 s gr [] 0 sd % Polyline n 8775 2625 m 8774 2625 l 8770 2625 l 8764 2625 l 8754 2625 l 8739 2625 l 8719 2625 l 8694 2625 l 8663 2625 l 8626 2625 l 8582 2625 l 8533 2625 l 8478 2625 l 8418 2625 l 8353 2626 l 8284 2626 l 8210 2626 l 8134 2626 l 8055 2626 l 7975 2626 l 7893 2626 l 7811 2627 l 7729 2627 l 7647 2627 l 7567 2627 l 7488 2627 l 7411 2628 l 7335 2628 l 7262 2628 l 7192 2628 l 7123 2629 l 7058 2629 l 6994 2629 l 6934 2630 l 6875 2630 l 6820 2630 l 6766 2631 l 6715 2631 l 6666 2632 l 6619 2632 l 6574 2632 l 6531 2633 l 6490 2633 l 6450 2634 l 6411 2634 l 6374 2635 l 6339 2636 l 6304 2636 l 6270 2637 l 6238 2637 l 6238 2638 l 6185 2639 l 6134 2640 l 6085 2641 l 6038 2643 l 5992 2644 l 5947 2646 l 5904 2648 l 5862 2650 l 5821 2653 l 5781 2655 l 5743 2658 l 5706 2661 l 5670 2664 l 5635 2668 l 5602 2671 l 5570 2675 l 5539 2679 l 5510 2683 l 5482 2688 l 5455 2692 l 5430 2697 l 5405 2702 l 5382 2708 l 5359 2713 l 5338 2719 l 5317 2725 l 5296 2731 l 5277 2737 l 5257 2743 l 5238 2750 l 5217 2758 l 5195 2766 l 5174 2774 l 5152 2783 l 5130 2793 l 5107 2803 l 5083 2814 l 5059 2826 l 5034 2839 l 5009 2853 l 4984 2868 l 4957 2883 l 4931 2900 l 4904 2917 l 4877 2935 l 4849 2954 l 4822 2974 l 4794 2994 l 4767 3016 l 4740 3038 l 4712 3060 l 4685 3083 l 4659 3107 l 4632 3132 l 4605 3157 l 4579 3183 l 4552 3210 l 4525 3238 l 4504 3260 l 4482 3283 l 4461 3307 l 4439 3331 l 4416 3357 l 4393 3383 l 4370 3410 l 4346 3438 l 4322 3466 l 4298 3496 l 4273 3525 l 4247 3556 l 4222 3587 l 4196 3619 l 4170 3651 l 4144 3683 l 4117 3716 l 4091 3748 l 4065 3781 l 4039 3813 l 4013 3845 l 3987 3877 l 3962 3908 l 3937 3939 l 3912 3970 l 3888 3999 l 3865 4028 l 3842 4056 l 3819 4083 l 3797 4110 l 3775 4135 l 3754 4160 l 3734 4184 l 3714 4206 l 3694 4229 l 3675 4250 l 3649 4278 l 3623 4306 l 3598 4332 l 3572 4357 l 3547 4381 l 3522 4405 l 3497 4428 l 3472 4450 l 3447 4471 l 3422 4491 l 3398 4510 l 3374 4528 l 3350 4546 l 3326 4562 l 3303 4577 l 3281 4591 l 3259 4605 l 3237 4617 l 3217 4628 l 3197 4639 l 3177 4649 l 3158 4658 l 3140 4666 l 3122 4674 l 3105 4681 l 3088 4688 l 3067 4695 l 3047 4702 l 3026 4709 l 3005 4716 l 2984 4722 l 2962 4728 l 2939 4733 l 2916 4738 l 2893 4743 l 2869 4747 l 2845 4750 l 2820 4753 l 2796 4756 l 2771 4757 l 2746 4758 l 2722 4759 l 2697 4759 l 2673 4758 l 2649 4757 l 2624 4755 l 2600 4753 l 2575 4750 l 2554 4747 l 2532 4744 l 2509 4740 l 2486 4736 l 2462 4731 l 2438 4726 l 2412 4720 l 2386 4714 l 2360 4707 l 2333 4700 l 2306 4692 l 2278 4684 l 2250 4675 l 2222 4666 l 2194 4657 l 2167 4647 l 2140 4637 l 2114 4627 l 2088 4616 l 2062 4605 l 2038 4594 l 2014 4583 l 1991 4572 l 1968 4561 l 1946 4549 l 1925 4538 l 1902 4524 l 1880 4511 l 1858 4497 l 1836 4482 l 1814 4467 l 1792 4451 l 1770 4434 l 1748 4417 l 1727 4399 l 1706 4381 l 1686 4362 l 1666 4343 l 1646 4324 l 1627 4304 l 1610 4284 l 1592 4265 l 1576 4245 l 1561 4226 l 1547 4206 l 1533 4187 l 1521 4168 l 1509 4150 l 1498 4131 l 1488 4113 l 1477 4092 l 1467 4071 l 1458 4050 l 1449 4028 l 1440 4004 l 1432 3979 l 1424 3953 l 1417 3924 l 1409 3893 l 1401 3861 l 1393 3827 l 1386 3791 l 1379 3756 l 1372 3722 l 1366 3690 l 1361 3662 l 1357 3639 l 1354 3621 l 1352 3610 l 1351 3603 l 1350 3600 l gs col0 s gr % Polyline n 8775 4575 m 8774 4575 l 8770 4575 l 8764 4575 l 8754 4575 l 8739 4575 l 8719 4575 l 8694 4575 l 8663 4575 l 8626 4575 l 8582 4575 l 8533 4575 l 8478 4575 l 8418 4575 l 8353 4574 l 8284 4574 l 8210 4574 l 8134 4574 l 8055 4574 l 7975 4574 l 7893 4574 l 7811 4573 l 7729 4573 l 7647 4573 l 7567 4573 l 7488 4573 l 7411 4572 l 7335 4572 l 7262 4572 l 7192 4572 l 7123 4571 l 7058 4571 l 6994 4571 l 6934 4570 l 6875 4570 l 6820 4570 l 6766 4569 l 6715 4569 l 6666 4568 l 6619 4568 l 6574 4568 l 6531 4567 l 6490 4567 l 6450 4566 l 6411 4566 l 6374 4565 l 6339 4564 l 6304 4564 l 6270 4563 l 6238 4563 l 6185 4561 l 6134 4560 l 6085 4559 l 6038 4557 l 5992 4556 l 5947 4554 l 5904 4552 l 5862 4550 l 5821 4547 l 5781 4545 l 5743 4542 l 5706 4539 l 5670 4536 l 5635 4532 l 5602 4529 l 5570 4525 l 5539 4521 l 5510 4517 l 5482 4512 l 5455 4508 l 5430 4503 l 5405 4498 l 5382 4492 l 5359 4487 l 5338 4481 l 5317 4475 l 5296 4469 l 5277 4463 l 5257 4457 l 5238 4450 l 5217 4442 l 5195 4434 l 5174 4426 l 5152 4417 l 5130 4407 l 5107 4397 l 5083 4386 l 5059 4374 l 5034 4361 l 5009 4347 l 4984 4332 l 4957 4317 l 4931 4300 l 4904 4283 l 4877 4265 l 4849 4246 l 4822 4226 l 4794 4206 l 4767 4184 l 4740 4162 l 4712 4140 l 4685 4117 l 4659 4093 l 4632 4068 l 4605 4043 l 4579 4017 l 4552 3990 l 4525 3963 l 4504 3940 l 4482 3917 l 4461 3893 l 4439 3869 l 4416 3843 l 4393 3817 l 4370 3790 l 4346 3762 l 4322 3734 l 4298 3704 l 4273 3675 l 4247 3644 l 4222 3613 l 4196 3581 l 4170 3549 l 4144 3517 l 4117 3484 l 4091 3452 l 4065 3419 l 4039 3387 l 4013 3355 l 3987 3323 l 3962 3292 l 3937 3261 l 3912 3230 l 3888 3201 l 3865 3172 l 3842 3144 l 3819 3117 l 3797 3090 l 3775 3065 l 3754 3040 l 3734 3016 l 3714 2994 l 3694 2971 l 3675 2950 l 3649 2922 l 3623 2894 l 3598 2868 l 3572 2843 l 3547 2819 l 3522 2795 l 3497 2772 l 3472 2750 l 3447 2729 l 3422 2709 l 3398 2690 l 3374 2672 l 3350 2654 l 3326 2638 l 3303 2623 l 3281 2609 l 3259 2595 l 3237 2583 l 3217 2572 l 3197 2561 l 3177 2551 l 3158 2542 l 3140 2534 l 3122 2526 l 3105 2519 l 3088 2513 l 3067 2505 l 3047 2498 l 3026 2491 l 3005 2484 l 2984 2478 l 2962 2472 l 2939 2467 l 2916 2462 l 2893 2457 l 2869 2453 l 2845 2450 l 2820 2447 l 2796 2444 l 2771 2443 l 2746 2442 l 2722 2441 l 2697 2441 l 2673 2442 l 2649 2443 l 2624 2445 l 2600 2447 l 2575 2450 l 2554 2453 l 2532 2456 l 2509 2460 l 2486 2464 l 2462 2469 l 2438 2474 l 2412 2480 l 2386 2486 l 2360 2493 l 2333 2500 l 2306 2508 l 2278 2516 l 2250 2525 l 2222 2534 l 2194 2543 l 2167 2553 l 2140 2563 l 2114 2573 l 2088 2584 l 2062 2595 l 2038 2606 l 2014 2617 l 1991 2628 l 1968 2639 l 1946 2651 l 1925 2663 l 1902 2676 l 1880 2689 l 1858 2703 l 1836 2718 l 1814 2733 l 1792 2749 l 1770 2766 l 1748 2783 l 1727 2801 l 1706 2819 l 1686 2838 l 1666 2857 l 1646 2876 l 1627 2896 l 1610 2916 l 1592 2935 l 1576 2955 l 1561 2974 l 1547 2994 l 1533 3013 l 1521 3032 l 1509 3050 l 1498 3069 l 1488 3088 l 1477 3108 l 1467 3129 l 1458 3150 l 1449 3172 l 1440 3196 l 1432 3221 l 1424 3247 l 1417 3276 l 1409 3307 l 1401 3339 l 1393 3373 l 1386 3409 l 1379 3444 l 1372 3478 l 1366 3510 l 1361 3538 l 1357 3561 l 1354 3579 l 1352 3590 l 1351 3597 l 1350 3600 l gs col0 s gr $F2psEnd rs %%EndDocument @endspecial 2798 4229 a Fv(x)1591 3468 y(\030)2168 4282 y(x)2208 4291 y Fr(1)2509 4282 y Fv(A)1669 3862 y(W)1736 3871 y Fr(0)1669 4492 y FC(\000)p Fv(W)1791 4501 y Fr(0)1906 4124 y Fv(\015)1942 4135 y Fn(A)803 4151 y Fv(\015)839 4160 y Fr(0)1459 4124 y Fv(y)1494 4133 y Fr(3)1459 4334 y Fv(y)1494 4343 y Fr(2)1722 4282 y Fv(y)1757 4291 y Fr(4)1696 4124 y Fv(y)1731 4133 y Fr(1)745 4988 y FB(Figure)e(24:)43 b(1)32 b(c)m(hannel)h(scattering)g(in)f(the)h(phase)g(space.)1781 5712 y(39)p eop %%Page: 40 40 40 39 bop 266 407 a FB(Fix)34 b Fw(A)e(>)f(x)710 422 y Ft(1)785 407 y FB(and)k(let)f Fw(\015)1171 422 y Fv(A)1262 407 y FB(b)s(e)h(the)g(single)f(path)h(of)f(the)h(phase)h(space)g (joining)d(\()p Fw(A;)17 b(W)3463 422 y Ft(0)3502 407 y FB(\))120 527 y(to)33 b(\()p Fw(A;)17 b Fs(\000)p Fw(W)564 542 y Ft(0)604 527 y FB(\))33 b(in)g(the)h(c)m(haracteristic)f (manifold)d Fw(\030)2011 491 y Ft(2)2073 527 y FB(+)23 b Fw(V)e FB(\()p Fw(x)p FB(\))30 b(=)e Fw(V)2572 542 y Ft(0)2612 527 y FB(.)46 b(The)34 b(phase)g(shift)f(of)g(a)120 648 y(standard)g(solution)e(along)g Fw(\015)1207 663 y Fv(A)1296 648 y FB(is)h(giv)m(en)h(\(see)h(\(41\)\))e(b)m(y:)1050 893 y Fw(\013)c FB(=)g Fw(e)1306 813 y Fn(i)p 1299 825 37 3 v 1299 867 a(h)1357 787 y Ff(R)1390 865 y Fn(\015)1422 882 y(A)1489 841 y Fv(\030)s(dx)p FC(\000)p Fv(i)p Ft(v)q Fv(:)p Ft(p)p Fv(:)1806 787 y Ff(R)1839 865 y Fn(\015)1871 882 y(A)1938 841 y Fv(H)1996 850 y Fr(1)2030 841 y Fv(dt)2096 893 y FB(\(1)22 b(+)g Fw(O)s FB(\()p Fw(h)p FB(\)\))32 b Fw(:)120 1113 y FB(Using)g(the)h(same)g(notations)e(as)i(for)f(the)h (double)f(w)m(ell)g(p)s(oten)m(tial,)f(w)m(e)j(get:)1225 1350 y Fw(y)1273 1365 y Ft(2)1339 1350 y FB(=)1453 1283 y Fw(y)1501 1298 y Ft(3)p 1453 1327 88 4 v 1466 1419 a Fw(\014)1550 1350 y(;)114 b(y)1739 1365 y Ft(1)1806 1350 y FB(=)27 b Fw(\013)q(r)s FB(\()p Fw(k)s FB(\))p Fw(e)2194 1309 y Ft(2)p Fv(ik)r(A)2348 1350 y Fw(y)2396 1365 y Ft(4)120 1615 y FB(and)1305 1728 y Fu(\022)1420 1807 y Fw(y)1468 1822 y Ft(3)1420 1928 y Fw(y)1468 1943 y Ft(4)1549 1728 y Fu(\023)1650 1868 y FB(=)g Fw(T)14 b FB(\()p Fw(")p FB(\))1963 1728 y Fu(\022)2077 1807 y Fw(y)2125 1822 y Ft(1)2077 1928 y Fw(y)2125 1943 y Ft(2)2205 1728 y Fu(\023)2328 1868 y Fw(:)1012 b FB(\(67\))120 2140 y(Hence:)312 2392 y Fw(r)s FB(\()p Fw(k)s FB(\))27 b(=)h Fw(e)665 2351 y FC(\000)p Ft(2)p Fv(ik)r(A)922 2325 y FB(1)p 885 2369 124 4 v 885 2460 a Fw(\013)q(\014)1034 2392 y FB(exp)1200 2252 y Fu(\022)1273 2392 y FB(2)p Fw(i)17 b FB(arg)1526 2252 y Fu(\022)1599 2305 y Fs(p)p 1682 2305 384 4 v 87 x FB(1)22 b(+)g Fw(e)1896 2363 y FC(\000)p Ft(2)p Fv(\031)r(")2076 2325 y Fw(\014)p 2076 2369 61 4 v 2078 2460 a(\015)2168 2392 y Fs(\000)h Fw(ie)2346 2351 y FC(\000)p Fv("\031)2481 2252 y Fu(\023\023)2644 2392 y FB(\(1)f(+)g Fw(O)s FB(\()p Fw(h)p FB(\)\))32 b Fw(;)209 b FB(\(68\))120 2676 y(where)44 b Fw(\015)51 b FB(=)45 b Fw(e)680 2640 y Fv(i)12 b Ft(arg)h FC(E)874 2676 y FB(.)74 b(Since)44 b Fw(\013)f FB(and)g Fw(\014)49 b FB(ha)m(v)m(e)44 b(mo)s(dulus)e(1,)j(w)m(e)f(get)f(the)h(classical)d (result)120 2797 y Fs(j)p Fw(r)s FB(\()p Fw(k)s FB(\))p Fs(j)f FB(=)h(1.)67 b(Let)41 b(us)g(remark)f(that)g Fw(r)s FB(\()p Fw(k)s FB(\))g(do)s(es)h(not)g(dep)s(end)g(of)f(the)h(c)m (hoice)g(of)f Fw(A)h(>)g(x)3500 2812 y Ft(1)120 2917 y FB(\()p Fw(e)203 2881 y FC(\000)p Ft(2)p Fv(ik)r(A)445 2917 y FB(cancels)34 b(with)e(the)h(part)f(of)g Fw(\013)h FB(dep)s(ending)g(on)g Fw(A)p FB(\).)120 3206 y Fo(12.2)136 b(Tw)l(o)45 b(c)l(hannels)g(scattering.)120 3391 y FB(Let)39 b(us)g(consider)g(the)g(v)m(olcano-top)f(example.)61 b(This)39 b(is)f(a)g(Sc)m(hr\177)-49 b(odinger)39 b(equation)g(on)f Fq(R)120 3511 y FB(lik)m(e)32 b(\(42\))g(with)g(the)h(follo)m(wing)d (assumptions:)265 3714 y Fs(\017)49 b Fw(V)21 b FB(\()p Fw(x)p FB(\))28 b Fs(!)g(\000)p Fw(a;)50 b(a)27 b(>)h FB(0)k(as)h Fw(x)28 b Fs(!)g FB(+)p Fs(1)p FB(,)265 3918 y Fs(\017)49 b Fw(V)21 b FB(\()p Fw(x)p FB(\))28 b Fs(!)g(\000)p Fw(b;)50 b(b)28 b(>)g FB(0)k(as)h Fw(x)28 b Fs(!)f(\0001)p FB(,)265 4121 y Fs(\017)49 b FB(sup)17 b Fw(V)50 b FB(=)27 b(0,)265 4325 y Fs(\017)49 b Fw(V)442 4288 y FC(\000)p Ft(1)537 4325 y FB(\(0\))27 b(=)h Fs(f)p Fw(x)898 4340 y Ft(1)937 4325 y Fw(;)17 b(x)1036 4340 y Ft(2)1076 4325 y Fs(g)32 b FB(with)g Fw(x)1435 4340 y Ft(1)1503 4325 y Fw(<)27 b(x)1661 4340 y Ft(2)1734 4325 y FB(and)33 b Fw(V)2002 4288 y FC(0)t(0)2049 4325 y FB(\()p Fw(x)2142 4340 y Fv(i)2170 4325 y FB(\))28 b Fw(<)f FB(0.)120 4528 y(This)j(example)g(has)g(b)s(een)h(studied)g(b)m(y)g(F)-8 b(ujiie)28 b(and)i(Ramond)f(\([10]\))h(in)g(the)g(analytic)f(case.)266 4648 y(The)37 b(energy)f(shell)f(in)f(phase)i(space)h(lo)s(oks)e(lik)m (e)f(\014gure)i(25.)51 b(Let)36 b Fw(\014)41 b FB(b)s(e)35 b(the)h(holonom)m(y)120 4769 y(of)h(the)h(cycle,)h(and)e Fs(E)930 4784 y Fv(j)966 4769 y Fw(;)54 b(j)42 b FB(=)35 b(1)p Fw(;)17 b FB(2)37 b(b)s(e)g(the)h(scalar)f(co)s(e\016cien)m(ts)h (factored)g(in)e(the)i(matrices)120 4889 y Fw(T)14 b FB(\()p Fw(")275 4904 y Fv(j)311 4889 y FB(\))32 b(\(cf.)44 b(\(19\)\).)f(Then)33 b(the)g(follo)m(wing)d(equations)j(hold:)417 5170 y Fw(b)458 5129 y Ft(+)545 5170 y FB(=)668 5103 y Fw(b)p 658 5147 V 658 5239 a(\014)729 5170 y(;)870 5030 y Fu(\022)985 5109 y Fw(a)1036 5073 y Fv(in)1018 5230 y Fw(x)1149 5030 y Fu(\023)1250 5170 y FB(=)27 b Fw(T)14 b FB(\()p Fw(")1508 5185 y Ft(1)1547 5170 y FB(\))1602 5030 y Fu(\022)1744 5109 y Fw(b)1785 5073 y Ft(+)1716 5230 y Fw(a)1767 5193 y Fv(out)1914 5030 y Fu(\023)2004 5170 y Fw(;)2145 5030 y Fu(\022)2296 5109 y Fw(b)2260 5230 y(c)2302 5193 y Fv(in)2414 5030 y Fu(\023)2515 5170 y FB(=)28 b Fw(T)14 b FB(\()p Fw(")2774 5185 y Ft(2)2813 5170 y FB(\))2868 5030 y Fu(\022)2982 5109 y Fw(c)3024 5073 y Fv(out)3028 5230 y Fw(x)3170 5030 y Fu(\023)1781 5712 y FB(40)p eop %%Page: 41 41 41 40 bop 709 1446 a @beginspecial @setspecial %%BeginDocument: scatter.pstex /$F2psDict 200 dict def $F2psDict begin $F2psDict /mtrx matrix put /col-1 {0 setgray} bind def /col0 {0.000 0.000 0.000 srgb} bind def /col1 {0.000 0.000 1.000 srgb} bind def /col2 {0.000 1.000 0.000 srgb} bind def /col3 {0.000 1.000 1.000 srgb} bind def /col4 {1.000 0.000 0.000 srgb} bind def /col5 {1.000 0.000 1.000 srgb} bind def /col6 {1.000 1.000 0.000 srgb} bind def /col7 {1.000 1.000 1.000 srgb} bind def /col8 {0.000 0.000 0.560 srgb} bind def /col9 {0.000 0.000 0.690 srgb} bind def /col10 {0.000 0.000 0.820 srgb} bind def /col11 {0.530 0.810 1.000 srgb} bind def /col12 {0.000 0.560 0.000 srgb} bind def /col13 {0.000 0.690 0.000 srgb} bind def /col14 {0.000 0.820 0.000 srgb} bind def /col15 {0.000 0.560 0.560 srgb} bind def /col16 {0.000 0.690 0.690 srgb} bind def /col17 {0.000 0.820 0.820 srgb} bind def /col18 {0.560 0.000 0.000 srgb} bind def /col19 {0.690 0.000 0.000 srgb} bind def /col20 {0.820 0.000 0.000 srgb} bind def /col21 {0.560 0.000 0.560 srgb} bind def /col22 {0.690 0.000 0.690 srgb} bind def /col23 {0.820 0.000 0.820 srgb} bind def /col24 {0.500 0.190 0.000 srgb} bind def /col25 {0.630 0.250 0.000 srgb} bind def /col26 {0.750 0.380 0.000 srgb} bind def /col27 {1.000 0.500 0.500 srgb} bind def /col28 {1.000 0.630 0.630 srgb} bind def /col29 {1.000 0.750 0.750 srgb} bind def /col30 {1.000 0.880 0.880 srgb} bind def /col31 {1.000 0.840 0.000 srgb} bind def end save -37.0 209.0 translate 1 -1 scale /cp {closepath} bind def /ef {eofill} bind def /gr {grestore} bind def /gs {gsave} bind def /sa {save} bind def /rs {restore} bind def /l {lineto} bind def /m {moveto} bind def /rm {rmoveto} bind def /n {newpath} bind def /s {stroke} bind def /sh {show} bind def /slc {setlinecap} bind def /slj {setlinejoin} bind def /slw {setlinewidth} bind def /srgb {setrgbcolor} bind def /rot {rotate} bind def /sc {scale} bind def /sd {setdash} bind def /ff {findfont} bind def /sf {setfont} bind def /scf {scalefont} bind def /sw {stringwidth} bind def /tr {translate} bind def /tnt {dup dup currentrgbcolor 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} bind def /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul 4 -2 roll mul srgb} bind def /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def /$F2psEnd {$F2psEnteredState restore end} def $F2psBegin 10 setmiterlimit n -1000 5965 m -1000 -1000 l 8742 -1000 l 8742 5965 l cp clip 0.04200 0.04200 sc % Arc 15.000 slw gs n 4162.5 3656.2 1031.9 -155.3 -24.7 arc gs col0 s gr gr % Arc gs n 4200.0 3182.1 1167.9 146.6 33.4 arcn gs col0 s gr gr % Arc gs clippath 3722 3224 m 3551 3403 l 3618 3165 l 3458 3447 l 3562 3506 l cp clip n 4117.1 3614.4 614.5 -8.4 -164.5 arcn gs col0 s gr gr % arrowhead n 3722 3224 m 3551 3403 l 3618 3165 l col0 s % Arc gs n 8196.7 4719.1 3039.3 -150.6 -110.6 arc gs col0 s gr gr % Arc gs n 7608.7 2553.3 2419.8 148.3 97.9 arcn gs col0 s gr gr % Arc gs n 737.5 4037.5 2333.5 -20.4 -82.3 arcn gs col0 s gr gr % Arc gs n 1064.4 2639.4 2166.8 30.8 94.4 arc gs col0 s gr gr % Polyline n 2925 3225 m 3225 3825 l gs col0 s gr % Polyline n 5175 3825 m 5550 3225 l gs col0 s gr % Polyline n 5100 3225 m 5550 3825 l gs col0 s gr % Polyline n 4050 2400 m 4050 2850 l gs col0 s gr % Polyline n 4125 2400 m 4125 2850 l gs col0 s gr % Polyline n 2925 3750 m 3225 3225 l gs col0 s gr % Polyline gs clippath 5085 3125 m 5211 3336 l 5000 3210 l 5229 3439 l 5314 3354 l cp clip n 5250 3375 m 5100 3225 l gs col0 s gr gr % arrowhead n 5085 3125 m 5211 3336 l 5000 3210 l col0 s % Polyline gs clippath 5412 3361 m 5595 3194 l 5512 3428 l 5692 3158 l 5592 3092 l cp clip n 5475 3375 m 5625 3150 l gs col0 s gr gr % arrowhead n 5412 3361 m 5595 3194 l 5512 3428 l col0 s % Polyline gs clippath 2889 3002 m 2907 3248 l 2775 3040 l 2878 3347 l 2991 3309 l cp clip n 2850 3075 m 2925 3300 l gs col0 s gr gr % arrowhead n 2889 3002 m 2907 3248 l 2775 3040 l col0 s % Polyline gs clippath 3063 3614 m 2879 3780 l 2963 3547 l 2783 3817 l 2883 3883 l cp clip n 2850 3825 m 3000 3600 l gs col0 s gr gr % arrowhead n 3063 3614 m 2879 3780 l 2963 3547 l col0 s % Polyline gs clippath 3263 3953 m 3179 3719 l 3363 3886 l 3183 3617 l 3083 3683 l cp clip n 3150 3675 m 3300 3900 l gs col0 s gr gr % arrowhead n 3263 3953 m 3179 3719 l 3363 3886 l col0 s % Polyline gs clippath 3012 3436 m 3195 3269 l 3112 3503 l 3292 3233 l 3192 3167 l cp clip n 3075 3450 m 3225 3225 l gs col0 s gr gr % arrowhead n 3012 3436 m 3195 3269 l 3112 3503 l col0 s % Polyline gs clippath 5553 3965 m 5499 3723 l 5660 3911 l 5515 3621 l 5408 3675 l cp clip n 5475 3675 m 5550 3825 l gs col0 s gr gr % arrowhead n 5553 3965 m 5499 3723 l 5660 3911 l col0 s % Polyline gs clippath 5313 3689 m 5129 3855 l 5213 3622 l 5033 3892 l 5133 3958 l cp clip n 5250 3675 m 5100 3900 l gs col0 s gr gr % arrowhead n 5313 3689 m 5129 3855 l 5213 3622 l col0 s $F2psEnd rs %%EndDocument @endspecial 1817 1336 a Fv(x)1528 627 y(b)1558 604 y Fr(+)2132 969 y Fv(\021)1764 864 y(\014)1344 942 y(")977 549 y(a)1014 525 y Fn(in)1003 1336 y Fv(a)1040 1313 y Fn(out)2736 601 y Fv(c)2767 578 y Fn(out)2867 1231 y Fv(c)2898 1208 y Fn(in)1948 575 y Fv(b)1262 1650 y FB(Figure)31 b(25:)43 b(the)33 b(v)m(olcano-top)120 2043 y(By)g(Gaussian)f (elimination)d(of)j Fw(b)h FB(and)f Fw(x)p FB(,)h(w)m(e)h(get:)525 2315 y Fw(a)576 2273 y Fv(in)731 2315 y FB(=)899 2247 y Fs(E)952 2262 y Ft(1)p 899 2292 93 4 v 903 2383 a Fw(D)1018 2174 y Fu(\024)1071 2315 y Fw(i)1121 2174 y Fu(\022)1204 2247 y Fs(E)1257 2262 y Ft(1)1296 2247 y Fs(E)1349 2262 y Ft(2)p 1204 2292 185 4 v 1266 2383 a Fw(\014)1398 2315 y(e)1443 2273 y FC(\000)p Fv(")1531 2282 y Fr(2)1565 2273 y Fv(\031)1612 2315 y FB(\(1)22 b(+)g Fw(e)1864 2273 y FC(\000)p Ft(2)p Fv(")1987 2282 y Fr(1)2022 2273 y Fv(\031)2069 2315 y FB(\))g(+)g Fw(e)2272 2273 y FC(\000)p Fv(")2360 2282 y Fr(1)2394 2273 y Fv(\031)2441 2174 y Fu(\023)2531 2315 y Fw(a)2582 2273 y Fv(out)2709 2315 y FB(+)2817 2247 y Fs(E)2870 2262 y Ft(2)p 2817 2292 93 4 v 2833 2383 a Fw(\014)2919 2315 y(c)2961 2273 y Fv(out)3065 2174 y Fu(\025)3367 2315 y FB(\(69\))535 2587 y Fw(c)577 2546 y Fv(in)731 2587 y FB(=)899 2520 y Fs(E)952 2535 y Ft(2)p 899 2564 V 903 2655 a Fw(D)1018 2446 y Fu(\024)1071 2587 y Fs(E)1124 2602 y Ft(1)1163 2587 y Fw(a)1214 2546 y Fv(out)1341 2587 y FB(+)g Fw(i)1489 2446 y Fu(\022)1572 2520 y Fs(E)1625 2535 y Ft(1)1664 2520 y Fs(E)1717 2535 y Ft(2)p 1572 2564 185 4 v 1633 2655 a Fw(\014)1766 2587 y(e)1811 2546 y FC(\000)p Fv(")1899 2555 y Fr(1)1933 2546 y Fv(\031)1980 2587 y FB(\(1)g(+)g Fw(e)2232 2546 y FC(\000)p Ft(2)p Fv(")2355 2555 y Fr(2)2390 2546 y Fv(\031)2437 2587 y FB(\))g(+)g Fw(e)2640 2546 y FC(\000)p Fv(")2728 2555 y Fr(2)2762 2546 y Fv(\031)2809 2446 y Fu(\023)2899 2587 y Fw(c)2941 2546 y Fv(out)3046 2446 y Fu(\025)3367 2587 y FB(\(70\))564 2850 y Fw(D)86 b FB(=)c(1)22 b(+)g Fw(e)1103 2809 y FC(\000)p Fv(")1191 2818 y Fr(1)1226 2809 y Fv(\031)1273 2850 y Fw(e)1318 2809 y FC(\000)p Fv(")1406 2818 y Fr(2)1440 2809 y Fv(\031)1497 2783 y Fs(E)1550 2798 y Ft(1)1589 2783 y Fs(E)1642 2798 y Ft(2)p 1497 2827 V 1559 2919 a Fw(\014)3367 2850 y FB(\(71\))120 3121 y(Note)50 b(that)f(the)h(denominator)e Fw(D)k FB(is)d(nev)m(er)i(0)f(for)f(real)f(energies)i(since)g Fs(jE)3091 3136 y Fv(j)3127 3121 y Fs(j)56 b FB(=)h(\(1)33 b(+)120 3241 y Fw(e)165 3205 y FC(\000)p Ft(2)p Fv(")288 3215 y Fn(j)320 3205 y Fv(\031)368 3241 y FB(\))406 3205 y FC(\000)p Ft(1)p Fv(=)p Ft(2)570 3241 y FB(.)76 b(The)45 b(complex)d(zero)s(es)j(of)e(the)g(analytic)f(con)m(tin)m(uation)h(of)g Fw(D)j FB(are)d(named)120 3361 y(quasi-resonances.)h(Remark)30 b(that)g(the)h Fw(S)36 b FB(matrix)29 b(suc)m(h)i(that)f Fw(S)6 b FB(\()p Fw(a)2625 3325 y Fv(out)2730 3361 y Fw(;)17 b(c)2816 3325 y Fv(out)2920 3361 y FB(\))28 b(=)f(\()p Fw(a)3178 3325 y Fv(in)3250 3361 y Fw(;)17 b(c)3336 3325 y Fv(in)3406 3361 y FB(\))30 b(is)120 3482 y(unitary)i(as)h(it)e (should.)266 3602 y(W)-8 b(e)37 b(will)d(no)m(w)j(calculate)e(the)i(mo) s(dulus)e(of)h(the)h(transmission)e(and)h(re\015ection)h(co)s(e\016-) 120 3723 y(cien)m(ts)42 b(\(it)e(is)g(of)h(course)h(p)s(ossible)f(to)f (calculate)g(the)i(phase)g(shifts)f(in)g(the)g(spirit)f(of)h(the)120 3843 y(previous)31 b(section\).)43 b(Let)31 b(us)h(consider)f(a)f (solution)g(whic)m(h)h(is)f(micro-lo)s(cally)c(supp)s(orted)32 b(on)120 3963 y(one)26 b(of)f(the)h(t)m(w)m(o)h(incoming)c(branc)m (hes,)29 b(e.g.)41 b Fw(a)1809 3927 y Fv(in)1880 3963 y FB(.)h(Hence)27 b Fw(a)2283 3927 y Fv(in)2381 3963 y FB(=)h(1,)f Fw(c)2630 3927 y Fv(in)2728 3963 y FB(=)h(0)d(and)h Fs(j)p Fw(c)3159 3927 y Fv(out)3263 3963 y Fs(j)i FB(=)f Fs(j)p Fw(t)p Fs(j)p FB(,)120 4084 y Fs(j)p Fw(a)199 4048 y Fv(out)303 4084 y Fs(j)h FB(=)f Fs(j)p Fw(r)s Fs(j)g FB(=)696 3999 y Fu(p)p 795 3999 301 4 v 795 4084 a FB(1)22 b Fs(\000)h(j)p Fw(t)p Fs(j)1057 4055 y Ft(2)1096 4084 y FB(.)43 b(Since)33 b Fw(S)38 b FB(is)32 b(unitary)-8 b(,)32 b(w)m(e)i(ha)m(v)m(e:)1584 4366 y Fs(j)p Fw(t)p Fs(j)27 b FB(=)1806 4222 y Fu(\014)1806 4282 y(\014)1806 4342 y(\014)1806 4401 y(\014)1849 4299 y Fs(E)1902 4314 y Ft(2)1941 4299 y Fs(E)1994 4314 y Ft(1)p 1849 4344 185 4 v 1899 4435 a Fw(D)2043 4222 y Fu(\014)2043 4282 y(\014)2043 4342 y(\014)2043 4401 y(\014)120 4644 y FB(F)-8 b(or)37 b(example,)h(if)e(w)m(e)i(are)g(in)m(terested)g(in)f(energies)h Fw(E)43 b FB(suc)m(h)c(that)e Fw(E)6 b(=h)37 b FB(tends)i(to)e(0,)h (then)120 4764 y Fw(")166 4779 y Ft(1)233 4764 y FB(=)27 b Fw(")382 4779 y Ft(2)449 4764 y FB(=)h(0)k(and)h(w)m(e)g(\014nd)g (the)g(same)g(result)f(as)h(F)-8 b(ujiie)31 b(and)h(Ramond:)1447 5023 y Fs(j)p Fw(t)p Fs(j)27 b FB(=)1917 4956 y(1)p 1678 5000 526 4 v 1678 5020 a Fs(p)p 1761 5020 443 4 v 75 x FB(5)22 b(+)g(4)17 b(cos)g Fw(\014)1781 5712 y FB(41)p eop %%Page: 42 42 42 41 bop 120 407 a Fx(A)161 b(Numerical)55 b(results.)120 655 y Fo(A.1)135 b(The)44 b(symmetric)i(double)f(w)l(ell)h(p)t(oten)l (tial.)120 840 y FB(Let)d Fw(V)22 b FB(\()p Fw(x)p FB(\))46 b(=)g Fw(x)738 803 y Ft(4)807 840 y Fs(\000)30 b Fw(x)969 803 y Ft(2)1009 840 y FB(.)76 b(In)43 b(this)g(section,)j(w)m(e)f (calculate)d(the)i(eigen)m(v)-5 b(alues)43 b(of)g(the)g(cor-)120 960 y(resp)s(onding)c(Sc)m(hr\177)-49 b(odinger)40 b(op)s(erator)e(for) h(di\013eren)m(t)h(v)-5 b(alues)39 b(of)g Fw(h)g FB(b)m(y)h(solving)e (\(50\))h(or)g(b)m(y)120 1080 y(applying)31 b(the)i(Runge-Kutta)f (metho)s(d)g(to)h(the)g(\014rst)g(order)f(di\013eren)m(tial)f(system:) 1009 1292 y Fw(d)p 981 1337 107 4 v 981 1428 a(dx)1114 1219 y Fu(\022)1240 1298 y Fw(')1229 1419 y(')1293 1383 y FC(0)1357 1219 y Fu(\023)1458 1359 y FB(=)1562 1219 y Fu(\022)1838 1292 y FB(0)245 b(1)1687 1378 y Ft(2\()p Fv(V)16 b Ft(\()p Fv(x)p Ft(\))p FC(\000)p Fv(E)t Ft(\))p 1687 1402 352 4 v 1825 1460 a Fv(h)1866 1441 y Fr(2)2132 1425 y FB(0)2222 1219 y Fu(\023)2312 1359 y Fw(:)2356 1219 y Fu(\022)2482 1298 y Fw(')2470 1419 y(')2534 1383 y FC(0)2599 1219 y Fu(\023)3367 1359 y FB(\(72\))120 1644 y(More)28 b(precisely)-8 b(,)30 b(w)m(e)f(calculate)e(t)m(w)m(o)i (solutions)e(of)g(\(72\),)i(starting)e(from)g(t)m(w)m(o)h(p)s(oin)m(ts) g(in)g(the)120 1765 y(classically)35 b(forbidden)i(region,)g(the)g (\014rst)h(one)f(is)f(c)m(hosen)j(in)d(the)h(connected)i(comp)s(onen)m (t)120 1885 y(of)h Fs(\0001)g FB(and)h(the)f(second)i(in)e(the)g(comp)s (onen)m(t)h(of)e(+)p Fs(1)p FB(.)67 b(W)-8 b(e)40 b(tak)m(e)h Fw(')g FB(=)g(1)f(and)g Fw(')3310 1849 y FC(0)3374 1885 y FB(=)h(0)120 2005 y(as)47 b(initial)c(conditions)j(at)g(these)i(p)s (oin)m(ts.)86 b(And)48 b(w)m(e)g(compute)e(the)i(W)-8 b(ronskian)46 b Fw(W)14 b FB(\()p Fw(E)6 b FB(\))120 2126 y(of)47 b(these)i(2)e(solutions)f(at)h Fw(x)53 b FB(=)g(0.)88 b(Since)47 b(w)m(e)i(start)e(from)f(the)i(classically)d (forbidden)120 2246 y(region,)g(the)e(n)m(umerical)e(solution)g(that)i (w)m(e)h(obtain)e(in)g(the)h(classically)e(allo)m(w)m(ed)h(region)120 2366 y(will)34 b(b)s(eha)m(v)m(e)k(lik)m(e)e(a)g(solution)e(whic)m(h)j (decreases)i(exp)s(onen)m(tially)c(fast)i(in)e(the)i(comp)s(onen)m(t) 120 2487 y(of)e(the)h(starting)f(p)s(oin)m(t)g(region.)52 b(Therefore,)38 b(the)e(W)-8 b(ronskian)36 b Fw(W)14 b FB(\()p Fw(E)6 b FB(\))35 b(will)f(v)-5 b(anish)35 b(if)g(and)120 2607 y(only)40 b(if)f Fw(E)47 b FB(is)40 b(eigen)m(v)-5 b(alue.)67 b(T)-8 b(o)40 b(\014nd)h(these)h(v)-5 b(alues,)42 b(w)m(e)g(detect)g(sign)e(c)m(hanges)h(of)f Fw(W)14 b FB(\()p Fw(E)6 b FB(\))120 2728 y(\014rst)45 b(b)m(y)h(dic)m(hotom)m(y)-8 b(,)48 b(then)e(b)m(y)g(in)m(terp)s (olation)c(of)i(the)i(curv)m(e)g Fw(E)55 b Fs(!)49 b Fw(W)14 b FB(\()p Fw(E)6 b FB(\))44 b(for)h(b)s(etter)120 2848 y(accuracy)d(\(this)f(is)f(the)i(b)s(est)f(metho)s(d)g(when)h (Newton's)g(metho)s(d)f(can)g(not)g(b)s(e)g(applied.)120 2968 y(The)h(con)m(v)m(ergence)i(la)m(w)c(of)h(the)g(sequence)j(of)d Fw(E)47 b FB(is)40 b(giv)m(en)i(b)m(y)g Fs(j)p Fw(E)2623 2983 y Fv(n)2697 2968 y Fs(\000)29 b Fw(E)6 b Fs(j)42 b(\024)g(j)p Fw(E)3170 2983 y Ft(0)3238 2968 y Fs(\000)28 b Fw(E)6 b Fs(j)3449 2932 y Fv(F)3494 2940 y Fn(n)120 3089 y FB(where)34 b Fw(F)465 3104 y Fv(n)544 3089 y FB(are)f(the)g(Fib)s(onacci)e(n)m(um)m(b)s(ers\).)266 3209 y(On)j(the)g(other)f(hand,)i(rewriting)d(equation)h(\(50\))g(for)g (the)h(p)s(oten)m(tial)e Fw(V)21 b FB(\()p Fw(x)p FB(\))30 b(=)f Fw(x)3282 3173 y Ft(4)3345 3209 y Fs(\000)23 b Fw(x)3500 3173 y Ft(2)120 3329 y FB(\()p Fw(a)28 b FB(=)f(1)33 b(and)f Fw(b)c FB(=)g(0\))k(giv)m(es:)726 3569 y(1)p 544 3614 413 4 v 544 3634 a Fs(p)p 627 3634 330 4 v 82 x FB(1)22 b(+)g Fw(e)841 3687 y Ft(2)p Fv(\031)r(")988 3637 y FB(+)g(cos)1233 3466 y Fu( )1312 3637 y Fw(")17 b FB(ln)o(\()p Fw(h)p FB(\))22 b(+)g(arg)c(\000\()1971 3569 y(1)p 1971 3614 49 4 v 1971 3705 a(2)2051 3637 y(+)k Fw(i")p FB(\))g Fs(\000)2398 3569 y FB(7)p 2398 3614 V 2398 3705 a(2)2457 3637 y Fw(")17 b FB(ln)n(\(2\))22 b Fs(\000)2856 3569 y FB(2)2905 3487 y Fs(p)p 2988 3487 V 82 x FB(2)p 2856 3614 181 4 v 2894 3705 a(3)p Fw(h)3047 3466 y Fu(!)120 3954 y FB(where)34 b Fw(")27 b FB(=)628 3915 y Fv(E)p 589 3931 135 4 v 589 3941 a FC(p)p 647 3941 36 3 v 647 3996 a Ft(2)q Fv(h)733 3954 y FB(.)266 4074 y(All)32 b(these)i(functions)f(are)g(standard,)h(except)h(the)f (argumen)m(t)e(of)h(the)h(\000)f(function.)45 b(W)-8 b(e)120 4195 y(ha)m(v)m(e)40 b(used)g(the)f Fa(PARI)h FB(library)e(from)f(the)i(n)m(um)m(b)s(er)h(theory)f(lab)s(oratory)e (of)i(Bordeaux)g(to)120 4315 y(calculate)31 b(it.)43 b(Implemen)m(tation)30 b(has)j(b)s(een)h(done)f(in)f Fa(C/C++)p FB(,)i(programs)d(are)i(a)m(v)-5 b(ailable)30 b(at:)120 4435 y Fa(http://www-fourier.ujf-gr)q(enob)q(le.)q(fr/)-8 b FB(~)n Fa(parisse/bs.tgz)266 4676 y FB(F)g(or)22 b Fw(h)27 b FB(=)h(10)716 4640 y FC(\000)p Ft(6)810 4676 y FB(,)c(w)m(e)f(get)f(the)h(follo)m(wing)c(eigen)m(v)-5 b(alues)22 b(in)g(the)g(in)m(terv)-5 b(al)21 b([)p Fs(\000)p FB(2)p Fw(:)p FB(10)3080 4640 y FC(\000)p Ft(6)3174 4676 y Fw(;)c FB(3)p Fw(:)p FB(10)3392 4640 y FC(\000)p Ft(6)3486 4676 y FB(]:)1781 5712 y(42)p eop %%Page: 43 43 43 42 bop 120 311 1841 4 v 118 431 4 121 v 170 395 a FB(Index)p 456 431 V 101 w(Runge-Kutta)p 1116 431 V 99 w(Bohr-Sommerfeld)p 1959 431 V 120 434 1841 4 v 118 555 4 121 v 170 518 a(1)p 456 555 V 289 w(-1.68092e-06)p 1116 555 V 131 w(-1.68100e-06)p 1959 555 V 118 675 V 170 639 a(2)p 456 675 V 289 w(-1.67670e-06)p 1116 675 V 131 w(-1.67678e-06)p 1959 675 V 118 795 V 170 759 a(3)p 456 795 V 289 w(-1.14072e-06)p 1116 795 V 131 w(-1.14080e-06)p 1959 795 V 118 916 V 170 880 a(4)p 456 916 V 289 w(-1.12697e-06)p 1116 916 V 131 w(-1.12706e-06)p 1959 916 V 118 1036 V 170 1000 a(5)p 456 1036 V 289 w(-0.62743e-06)p 1116 1036 V 131 w(-0.62751e-06)p 1959 1036 V 118 1156 V 170 1120 a(6)p 456 1156 V 289 w(-0.58579e-06)p 1116 1156 V 131 w(-0.58587e-06)p 1959 1156 V 118 1277 V 170 1241 a(7)p 456 1277 V 289 w(-0.15515e-06)p 1116 1277 V 131 w(-0.15522e-06)p 1959 1277 V 118 1397 V 170 1361 a(8)p 456 1397 V 289 w(-0.05032e-06)p 1116 1397 V 131 w(-0.05041e-06)p 1959 1397 V 118 1518 V 170 1482 a(9)p 456 1518 V 289 w(0.29793e-06)p 1116 1518 V 164 w(0.29786e-06)p 1959 1518 V 118 1638 V 170 1602 a(10)p 456 1638 V 240 w(0.48460e-06)p 1116 1638 V 164 w(0.48451e-06)p 1959 1638 V 118 1758 V 170 1722 a(11)p 456 1758 V 240 w(0.78346e-06)p 1116 1758 V 164 w(0.78339e-06)p 1959 1758 V 118 1879 V 170 1843 a(12)p 456 1879 V 240 w(1.02441e-06)p 1116 1879 V 164 w(1.02432e-06)p 1959 1879 V 118 1999 V 170 1963 a(13)p 456 1999 V 240 w(1.30685e-06)p 1116 1999 V 164 w(1.30677e-06)p 1959 1999 V 118 2120 V 170 2083 a(14)p 456 2120 V 240 w(1.57243e-06)p 1116 2120 V 164 w(1.57234e-06)p 1959 2120 V 118 2240 V 170 2204 a(15)p 456 2240 V 240 w(1.85275e-06)p 1116 2240 V 164 w(1.85266e-06)p 1959 2240 V 118 2360 V 170 2324 a(16)p 456 2360 V 240 w(2.12953e-06)p 1116 2360 V 164 w(2.12944e-06)p 1959 2360 V 118 2481 V 170 2445 a(17)p 456 2481 V 240 w(2.41218e-06)p 1116 2481 V 164 w(2.41208e-06)p 1959 2481 V 118 2601 V 170 2565 a(18)p 456 2601 V 240 w(2.69515e-06)p 1116 2601 V 164 w(2.69506e-06)p 1959 2601 V 118 2721 V 170 2685 a(19)p 456 2721 V 240 w(2.98110e-06)p 1116 2721 V 164 w(2.98101e-06)p 1959 2721 V 118 2842 V 170 2806 a(20)p 456 2842 V 240 w(3.26833e-06)p 1116 2842 V 164 w(3.26824e-06)p 1959 2842 V 120 2845 1841 4 v 120 2923 a(Note)42 b(the)h(accuracy)g(of)f (the)g(singular)f(Bohr-Sommerfeld)f(rules.)72 b(This)42 b(metho)s(d)g(is)f(far)120 3043 y(c)m(heap)s(er)34 b(than)e(the)h (Runge-Kutta)f(metho)s(d)g(\(ab)s(out)g(100)p Fs(\002)h FB(faster\).)266 3163 y(Comparison)38 b(2:)56 b(for)38 b Fw(h)h FB(=)f(0)p Fw(:)p FB(1,)i(w)m(e)g(get)f(the)h(follo)m(wing)c (eigen)m(v)-5 b(alues)39 b(in)f(the)h(in)m(terv)-5 b(al)120 3284 y([)p Fs(\000)p FB(0)p Fw(:)p FB(3)p Fw(;)17 b FB(0)p Fw(:)p FB(3]:)p 120 3320 V 118 3441 4 121 v 170 3405 a(Index)p 456 3441 V 101 w(Runge-Kutta)p 1116 3441 V 99 w(Bohr-Sommerfeld)p 1959 3441 V 120 3444 1841 4 v 118 3564 4 121 v 170 3528 a(0)p 456 3564 V 289 w(-0.156568)p 1116 3564 V 256 w(-0.16038)p 1959 3564 V 118 3685 V 170 3649 a(1)p 456 3685 V 289 w(-0.155061)p 1116 3685 V 256 w(-0.15861)p 1959 3685 V 118 3805 V 170 3769 a(2)p 456 3805 V 289 w(-0.014654)p 1116 3805 V 256 w(-0.01358)p 1959 3805 V 118 3926 V 170 3889 a(3)p 456 3926 V 289 w(0.021032)p 1116 3926 V 289 w(0.02162)p 1959 3926 V 118 4046 V 170 4010 a(4)p 456 4046 V 289 w(0.116728)p 1116 4046 V 289 w(0.11546)p 1959 4046 V 118 4166 V 170 4130 a(5)p 456 4166 V 289 w(0.212051)p 1116 4166 V 289 w(0.20839)p 1959 4166 V 120 4170 1841 4 v 120 4247 a(Ev)m(en)48 b(for)d(this)h(relativ)m(ely)f(large)g Fw(h)h FB(v)-5 b(alue,)49 b(the)e(singular)e(quan)m(tization)g(rules)h(giv)m(e)g(an) 120 4368 y(accurate)38 b(appro)m(ximation)e(of)h(the)h(eigen)m(v)-5 b(alues.)59 b(Note)38 b(ho)m(w)m(ev)m(er)i(that)e(for)f(this)g(v)-5 b(alue)37 b(of)120 4488 y Fw(h)p FB(,)h(the)g(Runge-Kutta)f(metho)s(d)f (is)h(faster!)57 b(Remark)37 b(that)g(the)h(mean)e(gap)h(b)s(et)m(w)m (een)i(t)m(w)m(o)120 4608 y(consecutiv)m(es)49 b(eigen)m(v)-5 b(alues)47 b(is)f(ab)s(out)g(1)32 b Fs(\002)g Fw(h)47 b FB(in)f(this)g(example)h(and)g(ab)s(out)f(4)31 b Fs(\002)i Fw(h)46 b FB(for)120 4729 y Fw(h)41 b FB(=)g(10)432 4692 y FC(\000)p Ft(6)526 4729 y FB(.)67 b(Theoretically)-8 b(,)41 b(w)m(e)g(should)g(\014nd)g(a)f(ratio)e(of)i(6)g(instead)h(of)f (4.)66 b(This)41 b(w)m(ould)120 4849 y(require)33 b(to)f(calculate)g (eigen)m(v)-5 b(alues)32 b(for)g(energies)h(that)g(are)f(m)m(uc)m(h)h (closer)g(to)f Fw(E)i FB(=)27 b(0.)266 4969 y(Let)e(us)g(no)m(w)h (compare)e(the)h(t)m(w)m(o)g(metho)s(ds)g(\(singular)e(quan)m(tization) h(rules)g(and)h(n)m(umeri-)120 5090 y(cal)f(in)m(tegration\))g(in)g (terms)h(of)g(the)g(p)s(osition)e(of)i(the)g(ladders)h(of)e(ev)m(en)j (and)e(o)s(dd)g(eigen)m(v)-5 b(alues)120 5210 y(near)33 b(the)g(critical)d(energy)-8 b(.)44 b(W)-8 b(e)33 b(in)m(tro)s(duce)g (the)g(form)e(factor:)1456 5422 y Fw(R)e FB(=)1673 5355 y Fw(E)1745 5370 y Ft(2)p Fv(n)p Ft(+1)1939 5355 y Fs(\000)23 b Fw(E)2111 5370 y Ft(2)p Fv(n)p 1673 5400 521 4 v 1673 5491 a Fw(E)1745 5506 y Ft(2)p Fv(n)p Ft(+2)1939 5491 y Fs(\000)g Fw(E)2111 5506 y Ft(2)p Fv(n)1781 5712 y FB(43)p eop %%Page: 44 44 44 43 bop 120 407 a FB(where)39 b(the)g(eigen)m(v)-5 b(alues)38 b(are)g(indexed)h(starting)e(from)g Fw(n)h FB(=)f(0)h(\(hence)h(ev)m(en)h(eigen)m(v)-5 b(alues)120 527 y(corresp)s(ond)43 b(to)f(ev)m(en)i(eigenfunctions\).)72 b(F)-8 b(or)41 b Fw(E)1985 542 y Ft(2)p Fv(n)p Ft(+1)2202 527 y Fw(>>)i(h)p FB(,)i(eigen)m(v)-5 b(alues)42 b(are)h(equidis-)120 648 y(tributed)31 b(hence)i Fw(R)f FB(tends)h(to)e(1)p Fw(=)p FB(2)g(;)g(for)g Fs(\000)p Fw(E)1785 663 y Ft(2)p Fv(n)p Ft(+1)1986 648 y Fw(>>)c(h)p FB(,)32 b(eigen)m(v)-5 b(alues)32 b(are)f(coupled)h(hence)120 768 y Fw(R)43 b FB(tends)g(to)f(0.)71 b(If)42 b Fw(E)962 783 y Ft(2)p Fv(n)p Ft(+1)1135 768 y Fw(=)p FB(\()p Fw(h)1278 683 y Fu(p)p 1377 683 306 4 v 1377 768 a Fs(j)p Fw(V)1484 739 y FC(0)t(0)1530 768 y FB(\(0\))p Fs(j)o FB(\))g(tends)h(to)f(a)g (limit)c Fw(")2540 783 y Ft(0)2621 768 y FB(as)k Fw(h)h FB(tends)g(to)e(0,)j(it)d(is)120 888 y(p)s(ossible)32 b(to)g(calculate)g(the)h(limit)c(of)j Fw(R)q FB(:)1154 1175 y(lim)1149 1238 y Fv(h)p FC(!)p Ft(0)1312 1175 y Fw(R)d FB(=)1528 1102 y(arccos)1805 1021 y Fu(\000)1851 1102 y FB(\(1)22 b(+)g Fw(e)2103 1065 y Ft(2)p Fv(\031)r(")2214 1074 y Fr(0)2253 1102 y FB(\))2291 1065 y FC(\000)p Ft(1)p Fv(=)p Ft(2)2456 1021 y Fu(\001)p 1528 1152 974 4 v 1985 1244 a Fw(\031)120 1431 y FB(Hence)31 b Fw(R)e Fs(!)e FB(1)p Fw(=)p FB(4)i(for)g Fw(")1005 1446 y Ft(0)1072 1431 y FB(=)f(0.)42 b(Coming)28 b(bac)m(k)j(to)e(the)h(second)h (example)e(ab)s(o)m(v)m(e)i(\()p Fw(h)d FB(=)f(0)p Fw(:)p FB(1\),)120 1551 y(w)m(e)j(get)e(\()p Fw(E)528 1566 y Ft(3)582 1551 y Fs(\000)14 b Fw(E)745 1566 y Ft(2)785 1551 y FB(\))p Fw(=)p FB(\()p Fw(E)982 1566 y Ft(4)1036 1551 y Fs(\000)g Fw(E)1199 1566 y Ft(2)1239 1551 y FB(\))28 b(=)f(0)p Fw(:)p FB(27,)i(a)g(v)-5 b(alue)28 b(whic)m(h)h(is)f(close)h (to)f(the)h(theoretical)f(v)-5 b(alue)120 1671 y(of)32 b Fw(R)i FB(\(since)f Fw(E)688 1686 y Ft(3)727 1671 y Fw(=)p FB(\()814 1589 y Fs(p)p 897 1589 49 4 v 82 x FB(2)p Fw(h)p FB(\))28 b(=)f(0)p Fw(:)p FB(15)32 b(is)g(close)h(to)f(0\).)120 1960 y Fo(A.2)135 b(The)44 b(p)t(endulum)120 2145 y FB(W)-8 b(e)23 b(mak)m(e)g(the)g(same)g(kind)g(of)f(comparison)g(for)g(the)h(p) s(endulum)f(\(the)i(p)s(erio)s(dic)d(Sc)m(hr\177)-49 b(odinger)120 2265 y(equation\),)43 b(where)f(w)m(e)g(tak)m(e)f Fw(V)22 b FB(\()p Fw(x)p FB(\))42 b(=)f(cos)q(\()p Fw(x)p FB(\))28 b Fs(\000)g FB(1)41 b(as)g(p)s(oten)m(tial.)66 b(The)42 b(singular)d(Bohr-)120 2386 y(Sommerfeld)31 b(quan)m(tization)g(rules)i(read)g(\(see)g(\(63\)\):)790 2596 y(1)p 580 2640 467 4 v 580 2660 a Fs(p)p 664 2660 384 4 v 664 2742 a FB(1)21 b(+)h Fw(e)877 2714 y FC(\000)p Ft(2)p Fv(\031)r(")1085 2663 y FB(=)28 b(cos)1336 2523 y Fu(\022)1409 2663 y Fs(\000)1500 2596 y FB(8)p 1496 2640 57 4 v 1496 2731 a Fw(h)1585 2663 y Fs(\000)23 b FB(5)17 b(ln)n(\(2\))p Fw(")22 b FB(+)g Fw(")17 b FB(ln)e Fw(h)22 b FB(+)g(arg)c(\000\()2721 2596 y(1)p 2721 2640 49 4 v 2721 2731 a(2)2801 2663 y(+)k Fw(i")p FB(\))3016 2523 y Fu(\023)120 2940 y FB(with)32 b Fw(")c FB(=)f Fw(E)6 b(=h)p FB(.)266 3061 y(W)-8 b(e)41 b(use)f(a)g(n)m(umerical)e (metho)s(d)i(whic)m(h)g(is)g(sligh)m(tly)e(di\013eren)m(t)i(than)g(of)f (the)h(previous)120 3181 y(section:)75 b(here)49 b(w)m(e)g(will)d (study)j(the)g(mono)s(drom)m(y)d(matrix)h Fw(M)10 b FB(.)91 b(Let)48 b(\()p Fw(';)17 b(')3078 3145 y FC(0)3101 3181 y FB(\))54 b(=)g(\(1)p Fw(;)17 b FB(0\))120 3301 y(and)43 b(\()p Fw(';)17 b(')530 3265 y FC(0)553 3301 y FB(\))45 b(=)g(\(0)p Fw(;)17 b FB(1\))41 b(b)s(e)i(a)g(couple)g(of)f(\(linearly) f(indep)s(enden)m(t\))i(initial)c(conditions)j(at)120 3422 y Fw(x)37 b FB(=)g(0.)59 b(Using)37 b(the)h(Runge-Kutta)g(metho)s (d,)g(w)m(e)h(in)m(tegrate)f(the)g(Sc)m(hr\177)-49 b(odinger)38 b(equation)120 3542 y(from)29 b Fw(x)f FB(=)g(0)i(to)f Fw(x)g FB(=)e(2)p Fw(\031)34 b FB(and)c(determine)g(the)h(matrix)e Fw(M)10 b FB(.)43 b(Energy)31 b Fw(E)36 b FB(is)30 b(an)g(eigen)m(v)-5 b(alue)30 b(if)120 3663 y(and)j(only)f(if)f(1)h(is)g(eigen)m(v)-5 b(alue)32 b(of)g Fw(M)10 b FB(.)45 b(W)-8 b(e)33 b(ha)m(v)m(e)g(no)m(w) h(to)e(\014nd)h(the)g(zero)s(es)g(of)f(det\()p Fw(M)i Fs(\000)22 b Fw(I)8 b FB(\).)266 3783 y(Let)34 b Fw(p)g FB(b)s(e)g(the)g(length)f(of)g(a)h(step)h(of)e(the)h(Runge-Kutta)f (metho)s(d.)47 b(Then)35 b(the)f(relativ)m(e)120 3903 y(error)40 b(is)f(of)g(order)h Fw(p)900 3867 y Ft(3)939 3903 y Fw(=h)1044 3867 y Ft(4)1123 3903 y FB(in)f(the)i Fw(E)46 b Fs(\025)40 b FB(0)f(energy)i(area.)65 b(The)41 b(error)e(is)h(m)m(uc)m(h)g(bigger)f(in)120 4024 y(the)g Fw(E)45 b(<)38 b FB(0)g(area)h(b)s(ecause)h(starting)e(and)h(ending)f (in)g(the)i(classically)c(forbidden)j(region)120 4144 y(m)m(ultiplies)d(the)k(relativ)m(e)e(error)h(b)m(y)h(an)e(exp)s(onen)m (tial)h(co)s(e\016cien)m(t)h(whic)m(h)f(is)g(prop)s(ortional)120 4265 y(to)d Fw(e)288 4228 y FC(\000)p Fv(C)5 b(E)t(=h)533 4265 y FB(.)53 b(Hence)38 b(w)m(e)e(can)h(not)e(apply)h(this)f(n)m (umerical)g(metho)s(d)g(if)g Fw(E)k(<)33 b Fs(\000)p Fw(D)s(h)j FB(\(and)g(if)120 4385 y(w)m(e)c(c)m(ho)s(ose)f(a)g(big)e(v) -5 b(alue)30 b(for)g Fw(D)s FB(,)h(w)m(e)h(ha)m(v)m(e)g(to)e(c)m(ho)s (ose)i(a)e(corresp)s(ondingly)g(small)e(v)-5 b(alue)30 b(for)120 4505 y Fw(p)p FB(\).)266 4626 y(The)h(comparison)d(sho)m(ws)k (that)d(the)h(t)m(w)m(o)g(metho)s(ds)g(giv)m(e)g(close)f(results.)43 b(In)30 b(the)g(follo)m(w-)120 4746 y(ing)i(example,)g(w)m(e)h(tak)m(e) h Fw(h)28 b FB(=)f(10)1332 4710 y FC(\000)p Ft(3)1426 4746 y FB(,)33 b(and)f(w)m(e)i(obtain:)1781 5712 y(44)p eop %%Page: 45 45 45 44 bop 120 311 1841 4 v 118 431 4 121 v 170 395 a FB(Index)p 456 431 V 101 w(Runge-Kutta)p 1116 431 V 99 w(Bohr-Sommerfeld)p 1959 431 V 120 434 1841 4 v 118 555 4 121 v 170 518 a(0)p 456 555 V 289 w(-0.00339886)p 1116 555 V 158 w(-0.00339946)p 1959 555 V 118 675 V 170 639 a(1)p 456 675 V 289 w(-0.00305773)p 1116 675 V 158 w(-0.00305821)p 1959 675 V 118 795 V 170 759 a(2)p 456 795 V 289 w(-0.00272065)p 1116 795 V 158 w(-0.0027210)p 1959 795 V 118 916 V 170 880 a(3)p 456 916 V 289 w(-0.00238812)p 1116 916 V 158 w(-0.00238841)p 1959 916 V 118 1036 V 170 1000 a(4)p 456 1036 V 289 w(-0.00206018)p 1116 1036 V 158 w(-0.002060396)p 1959 1036 V 118 1156 V 170 1120 a(5)p 456 1156 V 289 w(-0.00173847)p 1116 1156 V 158 w(-0.001738624)p 1959 1156 V 118 1277 V 170 1241 a(6)p 456 1277 V 289 w(-0.00142077)p 1116 1277 V 158 w(-0.0014208684)p 1959 1277 V 118 1397 V 170 1361 a(7)p 456 1397 V 289 w(-0.00111594)p 1116 1397 V 158 w(-0.001116004)p 1959 1397 V 118 1518 V 170 1482 a(8)p 456 1518 V 289 w(-0.000805647)p 1116 1518 V 109 w(-0.000805677)p 1959 1518 V 118 1638 V 170 1602 a(9)p 456 1638 V 289 w(-0.000541145)p 1116 1638 V 109 w(-0.000541155)p 1959 1638 V 118 1758 V 170 1722 a(10)p 456 1758 V 240 w(-0.000212948)p 1116 1758 V 109 w(-0.000212945)p 1959 1758 V 118 1879 V 170 1843 a(11)p 456 1879 V 240 w(-5.18091e-05)p 1116 1879 V 131 w(-5.18018e-05)p 1959 1879 V 118 1999 V 170 1963 a(12)p 456 1999 V 240 w(0.000371877)p 1116 1999 V 142 w(0.0003718748)p 1959 1999 V 118 2120 V 170 2083 a(13)p 456 2120 V 240 w(0.000420734)p 1116 2120 V 142 w(0.000420730)p 1959 2120 V 118 2240 V 170 2204 a(14)p 456 2240 V 240 w(0.000978865)p 1116 2240 V 142 w(0.000978818)p 1959 2240 V 118 2360 V 170 2324 a(15)p 456 2360 V 240 w(0.000978865)p 1116 2360 V 142 w(0.000978818)p 1959 2360 V 120 2364 1841 4 v 120 2441 a(W)-8 b(e)32 b(note)g(a)f(b)s(etter)h(accuracy)h(for)e Fw(E)i(>)28 b FB(0,)j(as)h(w)m(e)h(could)e(exp)s(ect)i(from)d(the)i(ab) s(o)m(v)m(e)g(remark)120 2562 y(ab)s(out)g(the)h(instabilit)m(y)d(of)i (the)h(n)m(umerical)e(metho)s(d)h(for)h Fw(E)g(<)28 b FB(0.)120 2894 y Fx(References)169 3113 y FB([1])49 b(P)-8 b(.)48 b(Bleher,)92 b(Semiclassical)46 b(quan)m(tization)h(rules)h (near)g(separatrices,)93 b Fp(Commun.)321 3234 y(Math.)35 b(Phys.)p FB(,)d(165:621-640,)e(1994.)169 3437 y([2])49 b(Y.)30 b(Colin)e(de)j(V)-8 b(erdi)m(\022)-46 b(ere,)40 b(F)-8 b(ormes)29 b(normales)g(de)h(Birkho\013)f(classiques)i(et)f (quan)m(tiques,)321 3557 y Fp(Exp)-5 b(os)n(\023)-47 b(e)33 b(au)i(s)n(\023)-47 b(eminair)-5 b(e)32 b(de)j(physique-math)n (\023)-47 b(ematique)32 b(de)j(l'Institut)g(F)-7 b(ourier)p FB(,)32 b(1997.)169 3761 y([3])49 b(Y.)39 b(Colin)e(de)j(V)-8 b(erdi)m(\022)-46 b(ere,)64 b(Quasi-mo)s(des)38 b(sur)h(les)g(v)-5 b(ari)m(\023)-46 b(et)m(\023)g(es)39 b(riemanniennes,)63 b Fp(Inven-)321 3881 y(tiones)34 b(Math.)p FB(,)f(43:15-52,)e(1977.)169 4085 y([4])49 b(Y.)28 b(Colin)g(de)h(V)-8 b(erdi)m(\022)-46 b(ere,)38 b(Sp)s(ectre)30 b(conjoin)m(t)e(d')h(op)m(\023)-46 b(erateurs)29 b(pseudo{di\013)m(\023)-46 b(eren)m(tiels)29 b(qui)321 4205 y(comm)m(uten)m(t)j(I)s(I)h(:)f(le)g(cas)h(in)m(t)m (\023)-46 b(egrable,)43 b Fp(Math.)35 b(Zeitschrift)p FB(,)d(171:51-73,)f(1980.)169 4408 y([5])49 b(Y.)34 b(Colin)e(de)j(V)-8 b(erdi)m(\022)-46 b(ere,)49 b(Limite)31 b(adiabatique)i(en)i(pr)m(\023) -46 b(esence)36 b(de)f(croisemen)m(ts)d(\023)-46 b(evit)m(\023)g(es)321 4529 y(et)32 b(phases)i(g)m(\023)-46 b(eom)m(\023)g(etriques.)44 b Fp(En)34 b(pr)n(\023)-47 b(ep)-5 b(ar)g(ation)34 b FB(,)e(1998.)169 4732 y([6])49 b(Y.)44 b(Colin)f(de)i(V)-8 b(erdi)m(\022)-46 b(ere,)48 b(M.)d(Lom)m(bardi)e(et)i(J.)f(P)m(ollet,) 81 b(La)44 b(form)m(ule)f(de)i(Landau-)321 4853 y(Zener)25 b(microlo)s(cale,)30 b Fp(Pr)n(\023)-47 b(epublic)-5 b(ation)26 b(de)i(l'Institut)g(F)-7 b(ourier)p FB(,)26 b(412:1-15,)f(1998)f(\(a)m(v)-5 b(ail-)321 4973 y(able)26 b(at)58 b Fp(http://www-fourier.ujf-gr)-5 b(enoble.fr/)28 b FB(\),)g(to)g(app)s(ear)f(in)g Fp(A)n(nnales)i(de)h(l'IHP)321 5093 y(\(Physique)k(Th)n(\023)-47 b(eorique\))p FB(.)169 5297 y([7])49 b(Y.)i(Colin)f(de)i(V)-8 b(erdi)m(\022)-46 b(ere)52 b(et)f(B.)h(P)m(arisse,)105 b(Equilibre)50 b(instable)g(en)i (r)m(\023)-46 b(egime)50 b(semi-)321 5417 y(classique:)40 b(I{Concen)m(tration)26 b(microlo)s(cale.)j Fp(Commun.)f(PDE)p FB(,)d(19:1535-1563,)g(1994.)1781 5712 y(45)p eop %%Page: 46 46 46 45 bop 169 407 a FB([8])49 b(Y.)i(Colin)f(de)i(V)-8 b(erdi)m(\022)-46 b(ere)52 b(et)f(B.)h(P)m(arisse,)105 b(Equilibre)50 b(instable)g(en)i(r)m(\023)-46 b(egime)50 b(semi-)321 527 y(classique:)62 b(I)s(I{Conditions)40 b(de)j(Bohr-Sommerfeld.)68 b Fp(A)n(nn.)43 b(Inst.)f(Henri)i(Poinc)-5 b(ar)n(\023)-47 b(e)321 648 y(\(Physique)34 b(th)n(\023)-47 b(eorique\))p FB(,)31 b(61:347-367,)g(1994.)169 851 y([9])49 b(J.)36 b(Duistermaat,)52 b(Oscillatory)33 b(in)m(tegrals,)j(Lagrange)f (immersions)f(and)i(unfoldings)321 971 y(of)c(singularities,)40 b Fp(Commun.)34 b(pur)-5 b(e)35 b(appl.)f(Math.)f FB(27,)f(207-281)f (\(1974\).)120 1175 y([10])49 b(S.)38 b(F)-8 b(ujii)m(\023)-46 b(e,)37 b(T.)i(Ramond,)60 b(Matrice)37 b(de)i(scattering)f(et)g(r)m (\023)-46 b(esonances)40 b(asso)s(ci)m(\023)-46 b(ees)39 b(\022)-49 b(a)37 b(une)321 1295 y(orbite)d(h)m(\023)-46 b(et)m(\023)g(ero)s(cline,)52 b Fp(A)n(nnales)36 b(de)h(l'IHP,)g (Physique)g(Th)n(\023)-47 b(eorique)p FB(,)34 b(69)h(\(1\),)h(pp.31-83) 321 1416 y(\(1998\))120 1619 y([11])49 b(A.)38 b(Jo)m(y)m(e,)61 b(Exp)s(onen)m(tial)38 b(asymptotics)f(in)g(a)h(singular)e(limit)f(for) i Fw(n)p FB(-lev)m(el)g(scattering)321 1739 y(systems,)44 b Fp(SIAM)35 b(J.)g(Math.)g(A)n(nal.,)d FB(28:669{703,)f(1997.)120 1943 y([12])49 b(M.)33 b(Jo)m(y)m(eux,)46 b(Classical)31 b(dynamics)h(of)h(the)g(1:1,)f(1:2)h(and)g(1:3)f(resonance)i (Hamiltoni-)321 2063 y(ans,)43 b Fp(J.)35 b(Chem.)f(Phys.,)e FB(203:281-307,)f(1996.)120 2267 y([13])49 b(P)-8 b(.)24 b(Martin)g(et)h(G.)f(Nenciu,)33 b(Semi-classical)21 b(inelastic)i Fw(S)6 b FB(-matrix)22 b(for)j(one)f(dimensional)321 2387 y Fw(N)10 b FB(-states)33 b(systems,)45 b Fp(R)-5 b(eviews)34 b(in)g(Mathematic)-5 b(al)35 b(Physics,)d FB(7:193{242)f(\(1995\).)120 2590 y([14])49 b(C.)36 b(M\177)-49 b(arz,)54 b(Sp)s(ectral)35 b(asymptotics)h(for)f(Hill's)f(equation)h (near)h(the)h(p)s(oten)m(tial)d(maxi-)321 2711 y(m)m(um,)42 b Fp(Asymptotic)35 b(A)n(nal.,)d FB(5:221-267)e(\(1992\).)120 2914 y([15])49 b(V.P)-8 b(.)38 b(Maslo)m(v,)61 b(Th)m(\023)-46 b(eorie)38 b(des)h(p)s(erturbations)f(et)g(m)m(\023)-46 b(etho)s(des)38 b(asymptotiques.)h(Suivi)321 3034 y(de)33 b(deux)i(notes)f(compl)m(\023)-46 b(emen)m(taires)32 b(de)i(V.)g(I.)g(Arnol'd)e(et)i(V.)g(C.)g(Bouslaev.)46 b Fp(Duno)-5 b(d,)321 3155 y(Gauthier-Vil)5 b(lars)35 b(\(Paris\),)c FB(1972.)120 3358 y([16])49 b(J.)38 b(P)m(ollet,)60 b(Analyse)38 b(semi-classique)f(d'un)i(syst)m(\022)-46 b(eme)40 b(d')m(\023)-46 b(equations)38 b(de)h(Sc)m(hr\177)-49 b(odinger)321 3479 y(coupl)m(\023)j(ees)24 b(:)39 b(form)m(ule)22 b(de)i(Landau-Zener,)30 b Fp(Th)n(\022)-47 b(ese)25 b(de)h(l'universit) n(\023)-47 b(e)25 b(de)h(Gr)-5 b(enoble)p FB(,)25 b(1997.)120 3682 y([17])49 b(M.)30 b(Rouleux,)39 b(F)-8 b(esh)m(bac)m(h)32 b(resonances)f(in)f(the)g(semi-classical)d(limit,)36 b Fp(Pr)-5 b(eprint)32 b(CPT)p FB(,)321 3802 y(1997.)120 4006 y([18])49 b(S.)24 b(V)-8 b(u)24 b(Ngo)s(c,)32 b(Bohr-Sommerfeld)22 b(conditions)h(for)h(In)m(tegrable)g(Systems)h(with)f(critical)321 4126 y(manifold)29 b(of)j(fo)s(cus-fo)s(cus)h(t)m(yp)s(e,)44 b Fp(Pr)-5 b(eprint)35 b(1998)p FB(.)120 4330 y([19])49 b(S.)32 b(V)-8 b(u)33 b(Ngo)s(c,)43 b Fp(PHD)35 b(Thesis)f(to)h(app)-5 b(e)g(ar,)34 b(1998)p FB(.)1781 5712 y(46)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF ---------------9810140952327--