File r38/packages/atensor/atensor.ps artifact c97b7c8034 part of check-in f2fda60abd


%!PS-Adobe-2.0
%%Creator: dvipsk 5.58e Copyright 1986, 1994 Radical Eye Software
%%Title: at4cpc7g.dvi
%%Pages: 21
%%PageOrder: Ascend
%%BoundingBox: 0 0 596 842
%%EndComments
%DVIPSCommandLine: dvips at4cpc7g.dvi
%DVIPSParameters: dpi=300, comments removed
%DVIPSSource:  TeX output 1996.04.10:1440
%%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
TeXDict begin 39158280 55380996 1000 300 300 (at4cpc7g.dvi)
@start /Fa 72 123 df<70F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F870000000000070F8
F8F870051C779B18>33 D<4010E038F078E038E038E038E038E038E038E038E038E038E0
3860300D0E7B9C18>I<00C00001C00001C00001C00003F0000FFC003FFE007DCF0071C7
00E1C380E1C780E1C780E1C780F1C00079C0003DC0001FE0000FF80003FC0001DE0001CF
0001C70061C380F1C380F1C380E1C380E1C70071C70079DE003FFE001FF80007E00001C0
0001C00001C00000C00011247D9F18>36 D<3803007C07807C0780EE0F80EE0F00EE0F00
EE1F00EE1E00EE1E00EE3E007C3C007C3C00387C0000780000780000F80000F00001F000
01E00001E00003E00003C00003C00007C0000783800787C00F87C00F0EE00F0EE01F0EE0
1E0EE01E0EE03E0EE03C07C03C07C018038013247E9F18>I<01C00007E0000FF0000E70
001C38001C38001C38001C38001C73F01C73F01CE3F00FE3800FC7000F87000F07001F0E
003F0E007B8E0073DC00E1DC00E0F800E0F800E07070E0787070FC707FFFE03FCFE00F03
C0141C7F9B18>I<007000F001E003C007800F001E001C00380038007000700070007000
E000E000E000E000E000E000E000E0007000700070007000380038001C001E000F000780
03C001F000F000700C24799F18>40 D<6000F00078003C001E000F000780038001C001C0
00E000E000E000E00070007000700070007000700070007000E000E000E000E001C001C0
038007800F001E003C007800F00060000C247C9F18>I<01C00001C00001C00001C000C1
C180F1C780F9CF807FFF001FFC0007F00007F0001FFC007FFF00F9CF80F1C780C1C18001
C00001C00001C00001C00011147D9718>I<00600000F00000F00000F00000F00000F000
00F00000F0007FFFC0FFFFE0FFFFE07FFFC000F00000F00000F00000F00000F00000F000
00F00000600013147E9718>I<1C3E7E7F3F1F070E1E7CF860080C788518>I<7FFF00FFFF
80FFFF807FFF0011047D8F18>I<3078FCFC78300606778518>I<01F00007FC000FFE001F
1F001C07003803807803C07001C07001C0E000E0E000E0E000E0E000E0E000E0E000E0E0
00E0E000E0E000E0F001E07001C07001C07803C03803801C07001F1F000FFE0007FC0001
F000131C7E9B18>48 D<01800380038007800F803F80FF80FB8043800380038003800380
0380038003800380038003800380038003800380038003807FFCFFFE7FFC0F1C7B9B18>
I<03F0000FFE003FFF007C0F807003C0E001C0F000E0F000E06000E00000E00000E00001
C00001C00003C0000780000F00001E00003C0000780000F00001E00007C0000F80001E00
E03C00E07FFFE0FFFFE07FFFE0131C7E9B18>I<07F8001FFE003FFF007807807803C078
01C03001C00001C00003C0000380000F0003FF0003FE0003FF000007800003C00001C000
00E00000E00000E0F000E0F000E0F001C0F003C07C07803FFF001FFE0003F800131C7E9B
18>I<001F00003F0000770000770000E70001E70001C7000387000787000707000E0700
1E07003C0700380700780700F00700FFFFF8FFFFF8FFFFF8000700000700000700000700
000700000700007FF000FFF8007FF0151C7F9B18>I<1FFF803FFF803FFF803800003800
003800003800003800003800003800003800003BF8003FFE003FFF003C07801803C00001
C00000E00000E06000E0F000E0F000E0E001C07003C07C0F803FFF001FFC0003F000131C
7E9B18>I<007E0001FF0007FF800F83C01E03C01C03C0380180380000700000700000E1
F800E7FE00FFFF00FE0780F803C0F001C0F000E0E000E0F000E07000E07000E07000E038
01C03C03C01E07800FFF0007FE0001F800131C7E9B18>I<E00000FFFFE0FFFFE0FFFFE0
E003C0E00780000700000E00001E00001C0000380000380000700000700000E00000E000
00E00001C00001C00001C00001C00003C000038000038000038000038000038000038000
038000131D7E9C18>I<03F8000FFE001FFF003E0F803803807001C07001C07001C07001
C03803803C07801FFF0007FC000FFE001F1F003C07807001C0F001E0E000E0E000E0E000
E0E000E07001C07803C03E0F801FFF000FFE0003F800131C7E9B18>I<03F0000FFC001F
FE003C0F00780780700380E001C0E001C0E001C0E001E0E001E07001E07803E03C0FE01F
FFE00FFEE003F0E00000E00001C00001C00001C0300380780780780F00783E003FFC001F
F00007C000131C7E9B18>I<3078FCFC783000000000000000003078FCFC783006147793
18>I<183C7E7E3C180000000000000000183C7E7E3E1E0E1C3C78F060071A789318>I<7F
FFC0FFFFE0FFFFE0FFFFE0000000000000000000000000FFFFE0FFFFE0FFFFE07FFFC013
0C7E9318>61 D<007C0001FE0007FF000F87801E03C03C1DC0387FC070FFE071E3E071C1
E0E1C1E0E380E0E380E0E380E0E380E0E380E0E380E0E1C1C071C1C071E3C070FF80387F
003C1C001E00E00F83E007FFC001FF80007E00131C7E9B18>64 D<00700000F80000F800
00D80000D80001DC0001DC0001DC00018C00038E00038E00038E00038E00030600070700
0707000707000707000FFF800FFF800FFF800E03800E03801C01C01C01C07F07F0FF8FF8
7F07F0151C7F9B18>I<FFFC00FFFF00FFFF801C03C01C01C01C00E01C00E01C00E01C00
E01C01E01C01C01C07C01FFF801FFF001FFFC01C03C01C00E01C00F01C00701C00701C00
701C00701C00F01C00E01C03E0FFFFC0FFFF80FFFE00141C7F9B18>I<00F8E003FEE007
FFE00F07E01E03E03C01E03800E07000E07000E0700000E00000E00000E00000E00000E0
0000E00000E00000E000007000007000E07000E03800E03C00E01E01C00F07C007FF8003
FE0000F800131C7E9B18>I<7FF800FFFE007FFF001C0F801C03C01C03C01C01E01C00E0
1C00E01C00F01C00701C00701C00701C00701C00701C00701C00701C00701C00F01C00E0
1C00E01C01E01C01C01C03C01C0F807FFF00FFFE007FF800141C7F9B18>I<FFFFF0FFFF
F0FFFFF01C00701C00701C00701C00701C00001C00001C0E001C0E001C0E001FFE001FFE
001FFE001C0E001C0E001C0E001C00001C00001C00381C00381C00381C00381C0038FFFF
F8FFFFF8FFFFF8151C7F9B18>I<FFFFE0FFFFE0FFFFE01C00E01C00E01C00E01C00E01C
00001C00001C1C001C1C001C1C001FFC001FFC001FFC001C1C001C1C001C1C001C00001C
00001C00001C00001C00001C00001C0000FFC000FFC000FFC000131C7E9B18>I<01F1C0
03FDC00FFFC01F0FC01C03C03803C03801C07001C07001C0700000E00000E00000E00000
E00000E00000E00FF0E01FF0E00FF07001C07001C07003C03803C03803C01C07C01F0FC0
0FFFC003FDC001F1C0141C7E9B18>I<7FFF00FFFF807FFF0001C00001C00001C00001C0
0001C00001C00001C00001C00001C00001C00001C00001C00001C00001C00001C00001C0
0001C00001C00001C00001C00001C00001C0007FFF00FFFF807FFF00111C7D9B18>73
D<7F07F0FF87F87F07F01C03C01C07801C07001C0E001C1E001C3C001C38001C70001CF0
001DF0001DF0001FB8001FB8001F1C001E1C001C0E001C0E001C07001C07001C03801C03
801C01C07F03F0FF87F87F03F0151C7F9B18>75 D<7FE000FFE0007FE0000E00000E0000
0E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E0000
0E00000E00000E00000E00700E00700E00700E00700E00707FFFF0FFFFF07FFFF0141C7F
9B18>I<FC01F8FE03F8FE03F83B06E03B06E03B06E03B06E03B8EE03B8EE0398CE0398C
E039DCE039DCE039DCE038D8E038D8E038F8E03870E03870E03800E03800E03800E03800
E03800E03800E0FE03F8FE03F8FE03F8151C7F9B18>I<7E07F0FF0FF87F07F01D81C01D
81C01D81C01DC1C01CC1C01CC1C01CE1C01CE1C01CE1C01C61C01C71C01C71C01C31C01C
39C01C39C01C39C01C19C01C19C01C1DC01C0DC01C0DC01C0DC07F07C0FF87C07F03C015
1C7F9B18>I<0FF8003FFE007FFF00780F00700700F00780E00380E00380E00380E00380
E00380E00380E00380E00380E00380E00380E00380E00380E00380E00380E00380E00380
F00780700700780F007FFF003FFE000FF800111C7D9B18>I<FFFE00FFFF80FFFFC01C03
C01C01E01C00E01C00701C00701C00701C00701C00701C00E01C01E01C03C01FFFC01FFF
801FFE001C00001C00001C00001C00001C00001C00001C00001C0000FF8000FF8000FF80
00141C7F9B18>I<7FF800FFFE007FFF001C0F801C03801C03C01C01C01C01C01C01C01C
03C01C03801C0F801FFF001FFE001FFE001C0F001C07001C03801C03801C03801C03801C
03801C039C1C039C1C039C7F01F8FF81F87F00F0161C7F9B18>82
D<03F3801FFF803FFF807C0F80700780E00380E00380E00380E000007000007800003F00
001FF00007FE0000FF00000F800003C00001C00000E00000E06000E0E000E0E001E0F001
C0F80780FFFF80FFFE00E7F800131C7E9B18>I<7FFFF8FFFFF8FFFFF8E07038E07038E0
7038E0703800700000700000700000700000700000700000700000700000700000700000
700000700000700000700000700000700000700000700007FF0007FF0007FF00151C7F9B
18>I<FF83FEFF83FEFF83FE1C00701C00701C00701C00701C00701C00701C00701C0070
1C00701C00701C00701C00701C00701C00701C00701C00701C00701C00701C00700E00E0
0F01E00783C003FF8001FF00007C00171C809B18>I<FF07F8FF07F8FF07F81C01C01C01
C01C01C01C01C00E03800E03800E03800E03800F0780070700070700070700070700038E
00038E00038E00038E00018C0001DC0001DC0001DC0000D80000F80000F800007000151C
7F9B18>I<FE03F8FE03F8FE03F87000707000707000703800E03800E03800E03800E038
00E038F8E038F8E039DCE039DCE019DCC019DCC019DCC0198CC01D8DC01D8DC01D8DC01D
8DC00D8D800D05800F07800F07800E0380151C7F9B18>I<1FE0003FF8007FFC00781E00
300E0000070000070000FF0007FF001FFF007F0700780700E00700E00700E00700F00F00
781F003FFFF01FFBF007E1F014147D9318>97 D<7E0000FE00007E00000E00000E00000E
00000E00000E00000E3E000EFF800FFFC00FC1E00F80E00F00700E00700E00380E00380E
00380E00380E00380E00380F00700F00700F80E00FC1E00FFFC00EFF80063E00151C809B
18>I<01FE0007FF001FFF803E0780380300700000700000E00000E00000E00000E00000
E00000E000007000007001C03801C03E03C01FFF8007FF0001FC0012147D9318>I<001F
80003F80001F8000038000038000038000038000038003E3800FFB801FFF803C1F80380F
80700780700380E00380E00380E00380E00380E00380E00380700780700780380F803C1F
801FFFF00FFBF803E3F0151C7E9B18>I<01F00007FC001FFE003E0F0038078070038070
0380E001C0E001C0FFFFC0FFFFC0FFFFC0E000007000007001C03801C03E03C01FFF8007
FF0001FC0012147D9318>I<001F80007FC000FFE000E1E001C0C001C00001C00001C000
7FFFC0FFFFC0FFFFC001C00001C00001C00001C00001C00001C00001C00001C00001C000
01C00001C00001C00001C00001C0007FFF007FFF007FFF00131C7F9B18>I<01E1F007FF
F80FFFF81E1E301C0E003807003807003807003807003807001C0E001E1E001FFC001FF8
0039E0003800001C00001FFE001FFFC03FFFE07801F0700070E00038E00038E00038E000
387800F07E03F01FFFC00FFF8001FC00151F7F9318>I<7E0000FE00007E00000E00000E
00000E00000E00000E00000E3E000EFF800FFFC00FC1C00F80E00F00E00E00E00E00E00E
00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E07FC3FCFFE7FE7FC3FC17
1C809B18>I<03800007C00007C00007C0000380000000000000000000000000007FC000
FFC0007FC00001C00001C00001C00001C00001C00001C00001C00001C00001C00001C000
01C00001C00001C00001C000FFFF00FFFF80FFFF00111D7C9C18>I<0038007C007C007C
003800000000000000000FFC1FFC0FFC001C001C001C001C001C001C001C001C001C001C
001C001C001C001C001C001C001C001C001C001C001C001C6038F078FFF07FE03F800E27
7E9C18>I<FE0000FE0000FE00000E00000E00000E00000E00000E00000E3FF00E7FF00E
3FF00E07800E0F000E1E000E3C000E78000EF0000FF8000FFC000F9C000F0E000E0F000E
07000E03800E03C0FFC7F8FFC7F8FFC7F8151C7F9B18>I<7FE000FFE0007FE00000E000
00E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E000
00E00000E00000E00000E00000E00000E00000E00000E00000E0007FFFC0FFFFE07FFFC0
131C7E9B18>I<7CE0E000FFFBF8007FFFF8001F1F1C001E1E1C001E1E1C001C1C1C001C
1C1C001C1C1C001C1C1C001C1C1C001C1C1C001C1C1C001C1C1C001C1C1C001C1C1C001C
1C1C007F1F1F00FFBFBF807F1F1F001914819318>I<7E3E00FEFF807FFFC00FC1C00F80
E00F00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00
E07FC3FCFFE7FE7FC3FC1714809318>I<01F0000FFE001FFF003E0F803803807001C070
01C0E000E0E000E0E000E0E000E0E000E0F001E07001C07803C03C07803E0F801FFF000F
FE0001F00013147E9318>I<7E3E00FEFF807FFFC00FC1E00F80E00F00700E00700E0038
0E00380E00380E00380E00380E00380F00700F00700F80E00FC1E00FFFC00EFF800E3E00
0E00000E00000E00000E00000E00000E00000E00007FC000FFE0007FC000151E809318>
I<01E38007FB801FFF803E1F80380F80700780700780E00380E00380E00380E00380E003
80E00380700780700780380F803C1F801FFF800FFB8003E3800003800003800003800003
80000380000380000380003FF8003FF8003FF8151E7E9318>I<7F87E0FF9FF07FBFF803
F87803F03003E00003C00003C00003800003800003800003800003800003800003800003
80000380007FFE00FFFF007FFE0015147F9318>I<07F7003FFF007FFF00780F00E00700
E00700E007007C00007FE0001FFC0003FE00001F00600780E00380E00380F00380F80F00
FFFF00FFFC00E7F00011147D9318>I<0180000380000380000380000380007FFFC0FFFF
C0FFFFC00380000380000380000380000380000380000380000380000380000380400380
E00380E00380E001C1C001FFC000FF80003E0013197F9818>I<7E07E0FE0FE07E07E00E
00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E
01E00F03E007FFFC03FFFE01FCFC1714809318>I<7F8FF0FF8FF87F8FF01E03C00E0380
0E03800E0380070700070700070700038E00038E00038E00038E0001DC0001DC0001DC00
00F80000F80000700015147F9318>I<FF8FF8FF8FF8FF8FF83800E03800E03800E01C01
C01C01C01C71C01CF9C01CF9C01CD9C01CD9C00DDD800DDD800DDD800D8D800F8F800F8F
8007070015147F9318>I<7F8FF07F9FF07F8FF0070700078E00039E0001DC0001F80000
F80000700000F00000F80001DC00039E00038E000707000F07807F8FF0FF8FF87F8FF015
147F9318>I<7F8FF0FF8FF87F8FF00E01C00E03800E0380070380070700070700038700
038600038E0001CE0001CE0000CC0000CC0000DC00007800007800007800007000007000
00700000F00000E00079E0007BC0007F80003F00001E0000151E7F9318>I<3FFFF07FFF
F07FFFF07001E07003C0700780000F00001E00003C0000F80001F00003C0000780000F00
701E00703C0070780070FFFFF0FFFFF0FFFFF014147F9318>I E
/Fb 18 90 df<000000060000000006000000000E000000001E000000001E000000003E
000000003E000000007E00000000BE00000000BF000000013F000000011F000000021F00
0000041F000000041F000000081F000000081F000000101F000000201F000000201F8000
00401F800000400F800000800F800001000F800001000F800002000F800002000F800007
FFFF80000FFFFF800008000FC000100007C000300007C000200007C000400007C0004000
07C000800007C001800007C001000007C003000007C00F80000FE0FFE000FFFFFFE000FF
FE282A7EA92C>65 D<003FFFFFE000003FFFFFF8000001F8007C000001F0003E000001F0
001F000001F0000F000001F0000F800003E0000F800003E0000F800003E0000F800003E0
000F800007C0000F000007C0001F000007C0001E000007C0003E00000F80007C00000F80
00F800000F8003E000000F800F8000001FFFFE0000001F0007C000001F0001E000001F00
00F000003E0000F800003E00007800003E00007C00003E00007C00007C00007C00007C00
007C00007C00007C00007C00007C0000F80000F80000F80000F80000F80001F00000F800
03E00001F00003E00001F0000FC00001F0001F000003F000FE00007FFFFFF80000FFFFFF
C0000029297EA82C>I<000003FC008000001FFF008000007E0381800001F00043800007
C0002700000F00001F00001E00001F00003C00000F00007800000E0000F000000E0001E0
0000060003C00000060007C0000004000780000004000F80000004001F00000004001F00
000000003E00000000003E00000000003E00000000007C00000000007C00000000007C00
000000007C00000000007C0000000000F80000000000F80000000000F80000000000F800
000040007800000040007800000040007800000080007C00000080003C00000100003C00
000200001E00000200001E00000C00000F000018000007800030000003E000C0000001F8
07800000007FFE000000000FF0000000292B7EA92A>I<003FFFFFE000003FFFFFFC0000
01F8007E000001F0000F000001F00007800001F00003C00001F00001E00003E00001E000
03E00000F00003E00000F00003E00000F00007C00000F80007C00000F80007C00000F800
07C00000F8000F800000F8000F800000F8000F800000F8000F800000F8001F000001F000
1F000001F0001F000001F0001F000001F0003E000003E0003E000003E0003E000003C000
3E000007C0007C00000780007C00000F80007C00000F00007C00001E0000F800001E0000
F800003C0000F80000780000F80000F00001F00001E00001F00007C00001F0001F000003
F000FC00007FFFFFF00000FFFFFF8000002D297EA831>I<003FFFFFFFC0003FFFFFFFC0
0001F8000FC00001F00003C00001F00001C00001F00000C00001F00000C00003E0000080
0003E00000800003E00000800003E00000800007C00000800007C00400800007C0040080
0007C0040000000F80080000000F80080000000F80180000000F80780000001FFFF00000
001FFFF00000001F00700000001F00300000003E00200000003E00200000003E00200200
003E00200400007C00400400007C00000400007C00000800007C0000080000F800001800
00F80000100000F80000300000F80000200001F00000600001F00000E00001F00003C000
03F0001FC0007FFFFFFFC000FFFFFFFF80002A297EA82B>I<003FFFE0FFFF80003FFFE0
FFFF800001F80007E0000001F00007C0000001F00007C0000001F00007C0000001F00007
C0000003E0000F80000003E0000F80000003E0000F80000003E0000F80000007C0001F00
000007C0001F00000007C0001F00000007C0001F0000000F80003E0000000F80003E0000
000F80003E0000000F80003E0000001FFFFFFC0000001FFFFFFC0000001F00007C000000
1F00007C0000003E0000F80000003E0000F80000003E0000F80000003E0000F80000007C
0001F00000007C0001F00000007C0001F00000007C0001F0000000F80003E0000000F800
03E0000000F80003E0000000F80003E0000001F00007C0000001F00007C0000001F00007
C0000003F0000FC000007FFF81FFFE0000FFFF83FFFE000031297EA830>72
D<003FFFE0003FFFE00001F8000001F0000001F0000001F0000001F0000003E0000003E0
000003E0000003E0000007C0000007C0000007C0000007C000000F8000000F8000000F80
00000F8000001F0000001F0000001F0000001F0000003E0000003E0000003E0000003E00
00007C0000007C0000007C0000007C000000F8000000F8000000F8000000F8000001F000
0001F0000001F0000003F00000FFFF8000FFFF80001B297EA81A>I<003FFFE003FFC000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>75
D<003FFFF000003FFFF0000001F800000001F000000001F000000001F000000001F00000
0003E000000003E000000003E000000003E000000007C000000007C000000007C0000000
07C00000000F800000000F800000000F800000000F800000001F000000001F000000001F
000000001F000000003E000000003E000000003E000000003E000010007C000020007C00
0020007C000040007C00004000F80000C000F800008000F800018000F800030001F00007
0001F0000F0001F0003E0003F000FE007FFFFFFE00FFFFFFFC0024297EA828>I<003FF8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>I<003FF8000FFF80003FFC000FFF800000FC0000F80000017E00006000
00013E0000400000013E0000400000011F0000400000021F0000800000021F8000800000
020F8000800000020F80008000000407C0010000000407C0010000000407E00100000004
03E0010000000803E0020000000801F0020000000801F0020000000801F8020000001000
F8040000001000F80400000010007C0400000010007C0400000020007E0800000020003E
0800000020003E0800000020001F0800000040001F1000000040001F9000000040000F90
00000040000F90000000800007E0000000800007E0000000800007E0000000800003E000
0001000003C0000001000001C0000003000001C0000007800001C000007FF80000800000
FFF8000080000031297EA82F>I<000003FC000000001C0780000000F001C0000001C000
F000000700007800000E00003C00003C00001C00007800001E0000F000000E0001E00000
0F0001E000000F0003C000000F00078000000F80078000000F800F0000000F801F000000
0F801F0000000F803E0000000F803E0000000F803E0000000F807C0000001F007C000000
1F007C0000001F007C0000001F007C0000003E00F80000003E00F80000007C00F8000000
7C00F80000007800F8000000F80078000001F00078000001E0007C000003E0007C000003
C0003C00000780003C00000F00001E00001E00000E00003C00000F0000700000078001E0
000001C00780000000F01E000000001FF0000000292B7EA92D>I<003FFFFFE000003FFF
FFF8000001F8007E000001F0001F000001F0000F000001F00007800001F00007800003E0
0007C00003E00007C00003E00007C00003E00007C00007C0000F800007C0000F800007C0
000F000007C0001F00000F80001E00000F80003C00000F80007800000F8001F000001F00
07C000001FFFFE0000001F00000000001F00000000003E00000000003E00000000003E00
000000003E00000000007C00000000007C00000000007C00000000007C0000000000F800
00000000F80000000000F80000000000F80000000001F00000000001F00000000001F000
00000003F0000000007FFF80000000FFFF800000002A297EA826>I<003FFFFF8000003F
FFFFE0000001F801F8000001F0003C000001F0001E000001F0001F000001F0000F000003
E0000F800003E0000F800003E0000F800003E0000F800007C0001F000007C0001F000007
C0001E000007C0003E00000F80007C00000F80007800000F8001E000000F8003C000001F
001E0000001FFFF00000001F003C0000001F000F0000003E000F8000003E0007C000003E
0007C000003E0007C000007C0007C000007C0007C000007C0007C000007C0007C00000F8
000F800000F8000F800000F8000F800000F8000F800001F0000F008001F0000F008001F0
000F008003F0000F01007FFF80070200FFFF8003840000000000F800292A7EA82D>82
D<00003F80400000FFE0400003C078C000070019C0000E000F8000180007800038000380
0070000380006000030000E000030000E000030000E000030001E000020001E000020001
F000000000F000000000F800000000FF000000007FF00000003FFF0000001FFF8000000F
FFE0000001FFE00000001FF000000003F800000000F80000000078000000007800000000
3800100000380010000038001000003800300000700030000070003000006000300000E0
00700001C00078000180007C0007000066000E0000C3C03C0000C0FFF00000803FC00000
222B7DA924>I<0FFFFFFFFE0FFFFFFFFE1F801F003E1C003E000E18003E000C30003E00
0430003E000420007C000420007C000440007C000C40007C00084000F800088000F80008
8000F800080000F800000001F000000001F000000001F000000001F000000003E0000000
03E000000003E000000003E000000007C000000007C000000007C000000007C00000000F
800000000F800000000F800000000F800000001F000000001F000000001F000000001F00
0000003E000000003E000000003E000000007E0000007FFFFC00007FFFFC000027297FA8
22>I<7FFFC01FFF7FFFC01FFF03F00001F003E00000C003E000008003E000008003E000
008007C000010007C000010007C000010007C00001000F800002000F800002000F800002
000F800002001F000004001F000004001F000004001F000004003E000008003E00000800
3E000008003E000008007C000010007C000010007C000010007C00001000F800002000F8
00002000F800002000F800004000F800004000F800008000F80000800078000100007800
02000078000400003C001800001E003000000F81E0000007FF80000000FE000000282A7C
A828>I<7FFF0000FFE0FFFF0001FFC007F000003E0003F00000300003F00000200001F0
0000400001F80000800001F80001000000F80003000000FC0002000000FC00040000007C
00080000007E00100000007E00200000003E00600000003F00400000003F00800000001F
01000000001F82000000001F84000000000F88000000000FD8000000000FD00000000007
E00000000007C00000000007C0000000000780000000000F80000000000F80000000000F
80000000000F00000000001F00000000001F00000000001F00000000001E00000000003E
00000000003E00000000003E00000000007E000000000FFFF00000001FFFF00000002B29
7FA822>89 D E /Fc 7 111 df<07C01FF03C78783C783CF83EF83EF83EF83EF83EF83E
F83EF83EF83EF83EF83E783C783C3C781FF007C00F157E9414>48
D<FFFFC000FFFFF0000FC0FC000FC03E000FC01F000FC01F000FC00F800FC00F800FC00F
C00FC00FC00FC00FC00FC00FC00FC00FC00FC00FC00FC00FC00FC00F800FC00F800FC01F
800FC01F000FC03E000FC0FC00FFFFF800FFFFC0001A177E961F>68
D<FFFCFFFC0FC00FC00FC00FC00FC00FC00FC00FC00FC00FC00FC00FC00FC00FC00FC00F
C00FC00FC00FC0FFFCFFFC0E1780960F>73 D<FFFC7FE0FFFC7FE00FC01E000FC03C000F
C078000FC0F0000FC1E0000FC780000FCF00000FDF00000FFF80000FFFC0000FFFC0000F
E7E0000FC7F0000FC3F0000FC1F8000FC1FC000FC0FC000FC07E000FC07F00FFFCFFE0FF
FCFFE01B177E9620>75 D<FFE003FF80FFE003FF800FE003F8000FF007F8000FF007F800
0EF80EF8000EF80EF8000EF80EF8000E7C1CF8000E7C1CF8000E7C1CF8000E3E38F8000E
3E38F8000E3E38F8000E1F70F8000E1F70F8000E0FE0F8000E0FE0F8000E0FE0F8000E07
C0F8000E07C0F800FFE7CFFF80FFE38FFF8021177E9626>77 D<07F1801FFF80381F8070
0780F00780F00380F80380FE0000FFF0007FFC007FFE003FFF000FFF8003FFC0001FC000
07C0E003C0E003C0E00380F00380FC0700FFFE00C7F80012177E9617>83
D<FE3F00FEFF803F87C03F07C03E07C03E07C03E07C03E07C03E07C03E07C03E07C03E07
C03E07C0FF9FF0FF9FF0140F7F8E17>110 D E /Fd 47 122 df<3C0078007F00FE00FF
81FF00FF81FF00FFC1FF80FFC1FF80FFC1FF807FC0FF803EC07D8000C0018000C0018001
8003000180030001800300030006000300060006000C000E001C001C0038003800700030
00600019157EA923>34 D<FFFFFFFFFFFFFFFFFFFFFFFF10067F9016>45
D<1C007F007F00FF80FF80FF807F007F001C0009097B8813>I<003F800001FFF00007E0
FC000FC07E001F803F001F001F003F001F803E000F807E000FC07E000FC07E000FC07E00
0FC0FE000FE0FE000FE0FE000FE0FE000FE0FE000FE0FE000FE0FE000FE0FE000FE0FE00
0FE0FE000FE0FE000FE0FE000FE0FE000FE0FE000FE0FE000FE07E000FC07E000FC07E00
0FC07E000FC03F001F803F001F801F001F001F803F000FC07E0007E0FC0001FFF000003F
80001B277DA622>48 D<000E00001E00007E0007FE00FFFE00FFFE00F8FE0000FE0000FE
0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE
0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE
0000FE0000FE0000FE007FFFFE7FFFFE7FFFFE17277BA622>I<00FF800007FFF0000FFF
FC001E03FE003800FF807C003F80FE003FC0FF001FC0FF001FE0FF000FE0FF000FE07E00
0FE03C001FE000001FE000001FC000001FC000003F8000003F0000007E000000FC000000
F8000001F0000003E00000078000000F0000001E0000003C00E0007000E000E000E001C0
01C0038001C0060001C00FFFFFC01FFFFFC03FFFFFC07FFFFFC0FFFFFF80FFFFFF80FFFF
FF801B277DA622>I<007F800003FFF00007FFFC000F80FE001F007F003F807F003F803F
803F803F803F803F801F803F801F003F8000007F0000007F0000007E000000FC000001F8
000007F00000FFC00000FFC0000001F80000007E0000003F0000003F8000001FC000001F
C000001FE000001FE03C001FE07E001FE0FF001FE0FF001FE0FF001FC0FF003FC0FE003F
807C007F003F00FE001FFFFC0007FFF00000FF80001B277DA622>I<00000E0000001E00
00003E0000007E000000FE000000FE000001FE000003FE0000077E00000E7E00000E7E00
001C7E0000387E0000707E0000E07E0000E07E0001C07E0003807E0007007E000E007E00
0E007E001C007E0038007E0070007E00E0007E00FFFFFFF8FFFFFFF8FFFFFFF80000FE00
0000FE000000FE000000FE000000FE000000FE000000FE000000FE00007FFFF8007FFFF8
007FFFF81D277EA622>I<180003001F801F001FFFFE001FFFFC001FFFF8001FFFF0001F
FFC0001FFF00001C0000001C0000001C0000001C0000001C0000001C0000001C0000001C
7FC0001DFFF8001F80FC001E003F0008003F0000001F8000001FC000001FC000001FE000
001FE018001FE07C001FE0FE001FE0FE001FE0FE001FE0FE001FC0FC001FC078003F8078
003F803C007F001F01FE000FFFFC0003FFF00000FF80001B277DA622>I<0007F800003F
FE0000FFFF0001FC078003F00FC007C01FC00F801FC01F801FC01F001FC03F000F803F00
00007E0000007E0000007E000000FE020000FE1FF000FE3FFC00FE603E00FE801F00FF80
1F80FF000FC0FF000FC0FE000FE0FE000FE0FE000FE0FE000FE07E000FE07E000FE07E00
0FE07E000FE03E000FE03F000FC01F000FC01F001F800F801F0007E07E0003FFFC0001FF
F800003FC0001B277DA622>I<380000003E0000003FFFFFF03FFFFFF03FFFFFF07FFFFF
E07FFFFFC07FFFFF807FFFFF0070000E0070000E0070001C00E0003800E0007000E000E0
000001E0000001C000000380000007800000070000000F0000001F0000001E0000003E00
00003E0000007E0000007C0000007C000000FC000000FC000000FC000000FC000001FC00
0001FC000001FC000001FC000001FC000001FC000001FC000000F80000007000001C297C
A822>I<003FC00001FFF00003FFFC0007C07E000F003F001E001F001E000F803E000F80
3E000F803F000F803F800F803FC00F803FF01F001FFC1E001FFE3C000FFFF8000FFFE000
07FFF80001FFFC0001FFFE0007FFFF000F0FFF801E03FFC03E01FFC07C007FE07C001FE0
F8000FE0F80007E0F80003E0F80003E0F80003E0F80003C07C0003C07E0007803F000F00
1FC03F000FFFFC0003FFF800007FC0001B277DA622>I<00000780000000000780000000
000FC0000000000FC0000000000FC0000000001FE0000000001FE0000000003FF0000000
003FF0000000003FF00000000077F80000000077F800000000F7FC00000000E3FC000000
00E3FC00000001C1FE00000001C1FE00000003C1FF0000000380FF0000000380FF000000
07007F80000007007F8000000F007FC000000E003FC000000E003FC000001C001FE00000
1C001FE000003FFFFFF000003FFFFFF000003FFFFFF00000700007F80000700007F80000
F00007FC0000E00003FC0000E00003FC0001C00001FE0001C00001FE0003C00001FF00FF
FE003FFFFCFFFE003FFFFCFFFE003FFFFC2E297EA833>65 D<00007FE0030007FFFC0700
1FFFFF0F007FF00F9F00FF0001FF01FC0000FF03F800007F07F000003F0FE000001F1FC0
00001F1FC000000F3F8000000F3F800000077F800000077F800000077F00000000FF0000
0000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF000000
00FF000000007F000000007F800000007F800000073F800000073F800000071FC0000007
1FC000000E0FE000000E07F000001C03F800003C01FC00007800FF0001F0007FF007C000
1FFFFF800007FFFE0000007FF00028297CA831>67 D<FFFFFFFC0000FFFFFFFF8000FFFF
FFFFE00003FC001FF80003FC0003FC0003FC0000FE0003FC00007F0003FC00003F8003FC
00001FC003FC00001FC003FC00000FE003FC00000FE003FC000007F003FC000007F003FC
000007F003FC000007F003FC000007F803FC000007F803FC000007F803FC000007F803FC
000007F803FC000007F803FC000007F803FC000007F803FC000007F803FC000007F803FC
000007F003FC000007F003FC000007F003FC00000FE003FC00000FE003FC00000FC003FC
00001FC003FC00003F8003FC00007F0003FC0000FF0003FC0003FC0003FC001FF800FFFF
FFFFF000FFFFFFFF8000FFFFFFFC00002D297EA834>I<FFFFFFFFE0FFFFFFFFE0FFFFFF
FFE003FC001FE003FC0007F003FC0001F003FC0001F003FC0000F003FC00007003FC0000
7003FC00007003FC01C07803FC01C03803FC01C03803FC01C03803FC03C00003FC03C000
03FC0FC00003FFFFC00003FFFFC00003FFFFC00003FC0FC00003FC03C00003FC03C00003
FC01C00E03FC01C00E03FC01C00E03FC01C01C03FC00001C03FC00001C03FC00001C03FC
00003C03FC00003803FC00007803FC0000F803FC0001F803FC0003F803FC001FF8FFFFFF
FFF0FFFFFFFFF0FFFFFFFFF027297EA82C>I<00007FE003000007FFFC0700001FFFFF0F
00007FF00F9F0000FF0001FF0001FC0000FF0003F800007F0007F000003F000FE000001F
001FC000001F001FC000000F003F8000000F003F80000007007F80000007007F80000007
007F0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF00000000
00FF0000000000FF0000000000FF0000000000FF0000FFFFF87F0000FFFFF87F8000FFFF
F87F800000FF003F800000FF003F800000FF001FC00000FF001FC00000FF000FE00000FF
0007F00000FF0003F80000FF0001FC0000FF0000FF0001FF00007FF007FF00001FFFFF9F
000007FFFE0F0000007FF003002D297CA835>71 D<FFFFFCFFFFFCFFFFFC01FE0001FE00
01FE0001FE0001FE0001FE0001FE0001FE0001FE0001FE0001FE0001FE0001FE0001FE00
01FE0001FE0001FE0001FE0001FE0001FE0001FE0001FE0001FE0001FE0001FE0001FE00
01FE0001FE0001FE0001FE0001FE0001FE0001FE0001FE0001FE00FFFFFCFFFFFCFFFFFC
16297FA819>73 D<FFFFF001FFFCFFFFF001FFFCFFFFF001FFFC03FC00001E0003FC0000
3C0003FC0000780003FC0000F00003FC0001E00003FC0003C00003FC0007000003FC001E
000003FC003C000003FC0078000003FC00F0000003FC01E0000003FC0380000003FC07C0
000003FC1FC0000003FC3FE0000003FC7FF0000003FCFFF8000003FDE7F8000003FF83FC
000003FF03FE000003FE01FF000003FC00FF000003FC007F800003FC007FC00003FC003F
E00003FC001FE00003FC000FF00003FC000FF80003FC0007F80003FC0003FC0003FC0001
FE0003FC0001FF0003FC0000FF0003FC00007F80FFFFF00FFFFEFFFFF00FFFFEFFFFF00F
FFFE2F297EA835>75 D<FFFFFFF800FFFFFFFF00FFFFFFFFC003FC003FE003FC0007F003
FC0003F803FC0003FC03FC0001FC03FC0001FE03FC0001FE03FC0001FE03FC0001FE03FC
0001FE03FC0001FE03FC0001FE03FC0001FC03FC0003FC03FC0003F803FC0007F003FC00
3FE003FFFFFF8003FFFFFE0003FC00000003FC00000003FC00000003FC00000003FC0000
0003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC000000
03FC00000003FC00000003FC00000003FC000000FFFFF00000FFFFF00000FFFFF0000027
297EA82E>80 D<FFFFFFE00000FFFFFFFE0000FFFFFFFF800003FC003FE00003FC000FF0
0003FC0007F80003FC0003FC0003FC0001FC0003FC0001FE0003FC0001FE0003FC0001FE
0003FC0001FE0003FC0001FE0003FC0001FE0003FC0001FC0003FC0003F80003FC0007F8
0003FC000FE00003FC003FC00003FFFFFE000003FFFFFE000003FC00FF800003FC003FC0
0003FC001FE00003FC000FF00003FC0007F80003FC0007F80003FC0007F80003FC0007F8
0003FC0007F80003FC0007F80003FC0007F80003FC0007F80003FC0007F80003FC0007F8
0E03FC0007F80E03FC0003F80E03FC0001FC1CFFFFF000FE1CFFFFF0007FF8FFFFF0000F
E02F297EA832>82 D<00FF00C003FFE1C00FFFF9C01F80FFC03F003FC03E000FC07C0007
C07C0007C0FC0003C0FC0003C0FC0001C0FE0001C0FE0001C0FF000000FFC000007FFC00
007FFFE0003FFFF8001FFFFE001FFFFF0007FFFF8003FFFFC000FFFFC0000FFFE000007F
E000001FF000000FF0000007F0E00003F0E00003F0E00003F0E00003F0F00003E0F00003
E0F80007E0FC0007C0FF000F80FFE01F80E3FFFF00E1FFFC00C01FF0001C297CA825>I<
7FFFFFFFFF807FFFFFFFFF807FFFFFFFFF807F807F807F807C007F800F8078007F800780
78007F80078070007F800380F0007F8003C0F0007F8003C0E0007F8001C0E0007F8001C0
E0007F8001C0E0007F8001C0E0007F8001C000007F80000000007F80000000007F800000
00007F80000000007F80000000007F80000000007F80000000007F80000000007F800000
00007F80000000007F80000000007F80000000007F80000000007F80000000007F800000
00007F80000000007F80000000007F80000000007F80000000007F80000000007F800000
00007F80000000FFFFFFC00000FFFFFFC00000FFFFFFC0002A287EA72F>I<FFFFF000FF
FEFFFFF000FFFEFFFFF000FFFE03FC0000038003FC0000038003FC0000038003FC000003
8003FC0000038003FC0000038003FC0000038003FC0000038003FC0000038003FC000003
8003FC0000038003FC0000038003FC0000038003FC0000038003FC0000038003FC000003
8003FC0000038003FC0000038003FC0000038003FC0000038003FC0000038003FC000003
8003FC0000038003FC0000038003FC0000038003FC0000038003FC0000038003FC000003
8001FC0000070001FE0000070000FE00000E00007F00000E00003F00003C00001FC00078
00000FF003F0000007FFFFE0000000FFFF800000001FFC00002F297EA834>I<FFFFE0FF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>87 D<03FF80000FFFF0001F01FC003F80FE003F807F003F803F
003F803F801F003F8000003F8000003F8000003F8000003F80003FFF8001FC3F800FE03F
801F803F803F003F807E003F80FC003F80FC003F80FC003F80FC003F80FC005F807E00DF
803F839FFC1FFE0FFC03F803FC1E1B7E9A21>97 D<FFE00000FFE00000FFE000000FE000
000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000
000FE000000FE000000FE1FE000FE7FF800FFE07E00FF803F00FF001F80FE000FC0FE000
FC0FE0007E0FE0007E0FE0007F0FE0007F0FE0007F0FE0007F0FE0007F0FE0007F0FE000
7F0FE0007F0FE0007E0FE0007E0FE0007E0FE000FC0FE000FC0FF001F80FF803F00F9C0F
E00F0FFF800E01FC00202A7EA925>I<003FF00001FFFC0003F03E000FC07F001F807F00
3F007F003F007F007F003E007E0000007E000000FE000000FE000000FE000000FE000000
FE000000FE000000FE0000007E0000007E0000007F0000003F0003803F8003801F800700
0FE00E0003F83C0001FFF800003FC000191B7E9A1E>I<00007FF000007FF000007FF000
0007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F000
0007F0000007F0000007F0003F87F001FFF7F007F03FF00FC00FF01F8007F03F0007F03F
0007F07E0007F07E0007F07E0007F0FE0007F0FE0007F0FE0007F0FE0007F0FE0007F0FE
0007F0FE0007F0FE0007F07E0007F07E0007F03F0007F03F0007F01F800FF00FC01FF007
E07FFF01FFE7FF007F87FF202A7EA925>I<003FC00001FFF00003E07C000F803E001F80
1F001F001F003F000F807E000F807E000FC07E000FC0FE0007C0FE0007C0FFFFFFC0FFFF
FFC0FE000000FE000000FE0000007E0000007E0000007F0000003F0001C01F0001C00F80
038007C0070003F01E0000FFFC00003FE0001A1B7E9A1F>I<0007F8003FFC007E3E01FC
7F03F87F03F07F07F07F07F03E07F00007F00007F00007F00007F00007F00007F000FFFF
C0FFFFC0FFFFC007F00007F00007F00007F00007F00007F00007F00007F00007F00007F0
0007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F0007FFF
807FFF807FFF80182A7EA915>I<007F80F001FFE3F807C0FE1C0F807C7C1F003E7C1F00
3E103F003F003F003F003F003F003F003F003F003F003F003F001F003E001F003E000F80
7C0007C0F80005FFE0000C7F8000180000001C0000001C0000001E0000001FFFF8001FFF
FF000FFFFFC007FFFFE003FFFFF00FFFFFF03E0007F07C0001F8F80000F8F80000F8F800
00F8F80000F87C0001F07C0001F03F0007E00FC01F8007FFFF00007FF0001E287E9A22>
I<FFE00000FFE00000FFE000000FE000000FE000000FE000000FE000000FE000000FE000
000FE000000FE000000FE000000FE000000FE000000FE000000FE07E000FE1FF800FE30F
C00FE40FE00FE807E00FF807F00FF007F00FF007F00FE007F00FE007F00FE007F00FE007
F00FE007F00FE007F00FE007F00FE007F00FE007F00FE007F00FE007F00FE007F00FE007
F00FE007F00FE007F00FE007F0FFFE3FFFFFFE3FFFFFFE3FFF202A7DA925>I<07000F80
1FC03FE03FE03FE01FC00F8007000000000000000000000000000000FFE0FFE0FFE00FE0
0FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE0
0FE00FE0FFFEFFFEFFFE0F2B7EAA12>I<FFE00000FFE00000FFE000000FE000000FE000
000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000
000FE000000FE03FF80FE03FF80FE03FF80FE007000FE00E000FE03C000FE078000FE0F0
000FE1E0000FE3C0000FE780000FEFC0000FFFE0000FFFE0000FF7F0000FE3F8000FC1FC
000FC1FC000FC0FE000FC07F000FC07F000FC03F800FC01FC00FC01FC0FFFC7FFCFFFC7F
FCFFFC7FFC1E2A7EA923>107 D<FFE0FFE0FFE00FE00FE00FE00FE00FE00FE00FE00FE0
0FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE0
0FE00FE00FE00FE00FE00FE00FE00FE00FE00FE0FFFEFFFEFFFE0F2A7EA912>I<FFC07F
001FC000FFC1FFC07FF000FFC307E0C1F8000FC407F101FC000FC803F200FC000FD803FE
00FE000FD003FC00FE000FD003FC00FE000FE003F800FE000FE003F800FE000FE003F800
FE000FE003F800FE000FE003F800FE000FE003F800FE000FE003F800FE000FE003F800FE
000FE003F800FE000FE003F800FE000FE003F800FE000FE003F800FE000FE003F800FE00
0FE003F800FE000FE003F800FE000FE003F800FE00FFFE3FFF8FFFE0FFFE3FFF8FFFE0FF
FE3FFF8FFFE0331B7D9A38>I<FFC07E00FFC1FF80FFC30FC00FC40FE00FC807E00FD807
F00FD007F00FD007F00FE007F00FE007F00FE007F00FE007F00FE007F00FE007F00FE007
F00FE007F00FE007F00FE007F00FE007F00FE007F00FE007F00FE007F00FE007F00FE007
F0FFFE3FFFFFFE3FFFFFFE3FFF201B7D9A25>I<003FE00001FFFC0003F07E000FC01F80
1F800FC03F0007E03F0007E07E0003F07E0003F07E0003F0FE0003F8FE0003F8FE0003F8
FE0003F8FE0003F8FE0003F8FE0003F8FE0003F87E0003F07E0003F03F0007E03F0007E0
1F800FC00FC01F8007F07F0001FFFC00003FE0001D1B7E9A22>I<FFE1FE00FFE7FF80FF
FE0FE00FF803F00FF001F80FE001FC0FE000FC0FE000FE0FE000FE0FE0007F0FE0007F0F
E0007F0FE0007F0FE0007F0FE0007F0FE0007F0FE0007F0FE0007E0FE000FE0FE000FE0F
E000FC0FE001FC0FF001F80FF803F00FFC0FE00FEFFF800FE1FC000FE000000FE000000F
E000000FE000000FE000000FE000000FE000000FE000000FE00000FFFE0000FFFE0000FF
FE000020277E9A25>I<FFC3E0FFC7F8FFCC7C0FD8FE0FD0FE0FD0FE0FF0FE0FE07C0FE0
000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0
000FE0000FE0000FE000FFFF00FFFF00FFFF00171B7E9A1B>114
D<03FE300FFFF03E03F07800F07000F0F00070F00070F80070FE0000FFE0007FFF007FFF
C03FFFE01FFFF007FFF800FFF80007FC0000FCE0007CE0003CF0003CF00038F80038FC00
70FF01E0E7FFC0C1FF00161B7E9A1B>I<00700000700000700000700000F00000F00000
F00001F00003F00003F00007F0001FFFE0FFFFE0FFFFE007F00007F00007F00007F00007
F00007F00007F00007F00007F00007F00007F00007F00007F00007F07007F07007F07007
F07007F07007F07007F07003F0E001F8C000FFC0003F0014267FA51A>I<FFE07FF0FFE0
7FF0FFE07FF00FE007F00FE007F00FE007F00FE007F00FE007F00FE007F00FE007F00FE0
07F00FE007F00FE007F00FE007F00FE007F00FE007F00FE007F00FE007F00FE007F00FE0
07F00FE007F00FE00FF00FE00FF007E017F003F067FF01FFC7FF007F87FF201B7D9A25>
I<FFFE07FFFFFE07FFFFFE07FF07F000E007F000E007F801E003F801C003F801C001FC03
8001FC038001FE078000FE070000FF0F00007F0E00007F0E00003F9C00003F9C00003FFC
00001FF800001FF800000FF000000FF000000FF0000007E0000007E0000003C0000003C0
00201B7F9A23>I<FFFC7FFC1FFCFFFC7FFC1FFCFFFC7FFC1FFC0FE00FE001C007F007E0
038007F007E0038007F807F0078003F807F0070003F807F8070001FC0FF80E0001FC0FF8
0E0001FE1FFC1E0000FE1CFC1C0000FE1CFE1C0000FF387E3C00007F387E3800007F787F
3800003FF03F7000003FF03F7000003FE01FF000001FE01FE000001FE01FE000000FC00F
C000000FC00FC000000FC00FC0000007800780000007800780002E1B7F9A31>I<FFFE07
FFFFFE07FFFFFE07FF07F000E007F000E007F801E003F801C003F801C001FC038001FC03
8001FE078000FE070000FF0F00007F0E00007F0E00003F9C00003F9C00003FFC00001FF8
00001FF800000FF000000FF0000007F0000007E0000007E0000003C0000003C000000380
000003800000078000380700007C070000FE0E0000FE0E0000FE1C0000FE3800007C7000
003FE000000F80000020277F9A23>121 D E /Fe 1 111 df<1C7C003EFE006F8E00CF0E
00CE0E000E0E000E0E001C1C001C1CC01C38C01C3980381F00180E00120D808C15>110
D E /Ff 6 110 df<07FFFC0FFFFE1FFFFC3FFFF870C600C0C60000C60001C600018E00
038E00038E00038E00070F00070F000F0F000F0F801E07800C070017127F9118>25
D<01FFE7FF8003FFE7FF80003C00F000003C00F000003C00F000003C00F000007801E000
007801E000007801E000007801E00000F003C00000F003C00000FFFFC00000FFFFC00001
E007800001E007800001E007800001E007800003C00F000003C00F000003C00F000003C0
0F000007801E000007801E000007801E000007801E0000FFF3FFE000FFF3FFC000211C7E
9B23>72 D<01FF0001FF03FF0003FF003F0003E0003F0007E0003F000DE0003F000DE000
67801BC00067801BC000678033C000678063C000C780678000C780C78000C780C78000C7
8187800187830F000187830F000187860F000183C60F000303CC1E000303CC1E000303D8
1E000303F01E000603F03C000603E03C000603E03C000E03C03C00FFE387FFC0FFC387FF
80281C7E9B28>77 D<000FC3003FF700F03E01C01E01800E03800E07000C07000C070000
07800007C00007FC0003FF8001FFC000FFE0001FF00001F00000F0000070000070300070
3000607000E07000C07801807E0700EFFE00C3F800181C7E9B19>83
D<0FE0001FE00003E00003C00003C00003C00003C0000780000780000780000780000F3F
000F7F800FC3C00F83C01F03C01E03C01E03C01E03C03C07803C07803C07803C0F08780F
18780F18781E30781E70F00FE0600780151D7F9C18>104 D<1E0FC1F8003F1FE3FC0067
B0F61E0063E0FC1E00C7C0F81E00C780F01E000780F01E000780F01E000F01E03C000F01
E03C000F01E03C000F01E078401E03C078C01E03C078C01E03C0F1801E03C0F3803C0780
7F001803003C0022127F9124>109 D E /Fg 5 51 df<FFFFF0FFFFF014027D881B>0
D<60F0F06004047D890A>I<0F801FC0306060306030C018C018C018C018603060303060
1FC00F800D0E7E8E12>14 D<060F0F0E1E1E1C3C383830707060E0C04008117F910A>48
D<01FF8007FF800E0000180000300000600000600000600000C00000C00000FFFF80FFFF
80C00000C000006000006000006000003000001800000E000007FF8001FF8011167D9218
>50 D E /Fh 8 57 df<06001E00FE00EE000E000E000E000E000E000E000E000E000E00
0E000E000E000E007FE07FE00B137E9211>49 D<1F007FC0F9E0F8E0F8F07070007000F0
00E001C001C0038006000C30183030707FE0FFE0FFE00C137E9211>I<0FC03FE0387078
7878383878007000F00FC00FC000700038703CF83CF83CF83870783FF01FC00E137F9211
>I<00E001E001E003E007E00EE01CE018E030E070E0E0E0FFFCFFFC00E000E000E000E0
07FC07FC0E137F9211>I<60607FE07FC07F006000600060006F007FC071E060E000F000
F070F0F0F0F0E0E1C07F801F000C137E9211>I<03E00FF01C38387870787030E000E7E0
EFF0F038F01CE01CE01CE01C601C701838301FE007C00E137F9211>I<60007FFC7FFC7F
F8E030C060C0C000C001800300070007000E000E000E001E001E001E001E000C000E147E
9311>I<0FC01FE038707038703878387E703FE01FC01FF03BF870FCE03CE01CE01CE018
78383FF00FC00E137F9211>I E /Fi 4 89 df<0000700001F00003E0000780000F0000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>26
D<E00000F800007C00001E00000F000007800003C00001E00001E00000F00000F00000F0
0000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F0
0000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F0
0000F00000F00000F00000F000007800007800003800003C00001E00000E000007000003
C00000F00000700000E00003C0000700000E00001E00003C0000380000780000780000F0
0000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F0
0000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F0
0000F00000F00000F00000F00000F00000F00001E00001E00003C0000780000F00001E00
007C0000F80000E0000014637B811F>I<FFFFFFFFE0FFFFFFFFF07800001FF07C000003
F03E000000F81F000000380F0000001C0F8000000C07C000000C03C000000603E0000000
01F000000000F80000000078000000007C000000003E000000001E000000001F00000000
0F8000000007C000000003C000000003C000000001800000000380000000030000000006
000000000C000000001800000000380000000030000000006000000000C0000006018000
000C038000000C030000001C06000000380C000000F818000001F83800001FF03FFFFFFF
F07FFFFFFFF0FFFFFFFFE0272A7E7F2C>80 D<FFFFFFFFFFFFC0FFFFFFFFFFFFE07F8000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>88
D E /Fj 3 111 df<06070600000000387CCEDC1C38383B767E3C08127F910B>105
D<3C78F0007FFDFC00CF8F1C00CF0E1C000E0E1C001C1C38001C1C38001C1C39801C1C73
0038387F0018183C00190B7F8A1B>109 D<3CF0007FFC00CF1C00CE1C000E1C001C3800
1C38001C39801C7300387F00183C00110B7F8A13>I E /Fk 2 51
df<0C007C00FC009C001C001C001C001C001C001C001C001C001C001C00FF80FF800910
7E8F0F>49 D<1F007F80C3C0E1E0E0E000E001E001C0038007000E00186030607FC0FFC0
FFC00B107F8F0F>I E /Fl 17 104 df<FFFFFFFCFFFFFFFC1E027C8C27>0
D<70F8F8F87005057C8E0E>I<00C00000C00000C00000C00000C000C0C0C0F0C3C038C7
000EDC0003F00000C00003F0000EDC0038C700F0C3C0C0C0C000C00000C00000C00000C0
0000C00012157D9619>3 D<000FF00000708E0001808180020080400400802008008010
100080081000800820008004200080044000800240008002400080028000800180008001
80008001FFFFFFFF80008001800080018000800180008001400080024000800240008002
200080042000800410008008100080080800801004008020020080400180818000708E00
000FF00020227D9C27>8 D<03F0000FFC001C0E00300300600180600180C000C0C000C0
C000C0C000C0C000C0C000C0C000C0C000C06001806001803003001C0E000FFC0003F000
12147D9519>14 D<03F0000FFC001FFE003FFF007FFF807FFF80FFFFC0FFFFC0FFFFC0FF
FFC0FFFFC0FFFFC0FFFFC0FFFFC07FFF807FFF803FFF001FFE000FFC0003F00012147D95
19>I<FFFFFFFF7FFFFFFF00000000000000000000000000000000000000000000000000
00000000000000FFFFFFFFFFFFFFFF000000000000000000000000000000000000000000
00000000000000000000007FFFFFFFFFFFFFFF20167D9627>17 D<C0000000F00000003C
0000000F00000003C0000000F00000003C0000000F80000003E0000000780000001E0000
000780000001E0000000780000001C00000078000001E00000078000001E000000780000
03E000000F8000003C000000F0000003C000000F0000003C00000070000000C000000000
000000000000000000000000000000000000000000000000000000000000007FFFFFF8FF
FFFFFC1E277C9F27>21 D<00000000600000000000300000000000300000000000180000
0000001800000000000C00000000000600000000000380FFFFFFFFFFE0FFFFFFFFFFC000
0000000380000000000600000000000C0000000000180000000000180000000000300000
00000030000000000060002B127D9432>33 D<01800000C0000300000060000300000060
000600000030000600000030000C0000001800180000000C00700000000700FFFFFFFFFF
C0FFFFFFFFFF80700000000700180000000C000C00000018000600000030000600000030
0003000000600003000000600001800000C0002A127C9432>36 D<001FFF007FFF01E000
0380000600000C0000180000300000300000600000600000600000C00000C00000FFFFFF
FFFFFFC00000C000006000006000006000003000003000001800000C0000060000038000
01E000007FFF001FFF181E7C9A21>50 D<7FF8007FFE000007800001C000006000003000
001800000C00000C000006000006000006000003000003FFFFFFFFFFFF00000300000300
000600000600000600000C00000C0000180000300000600001C00007807FFE007FF80018
1E7C9A21>I<00000300000300000600000600000C00000C000018000018000030000030
0000600000600000C00000C00000C0000180000180000300000300000600000600000C00
000C0000180000180000300000300000600000600000C00000C000018000018000030000
0300000300000600000600000C00000C0000180000180000300000300000600000600000
C00000400000183079A300>54 D<40000010C00000306000006060000060600000603000
00C0300000C0300000C018000180180001800C0003000C0003000C00030007FFFE0007FF
FE0003000C0003000C0003000C0001801800018018000180180000C0300000C030000060
600000606000006060000030C0000030C000001980000019800000198000000F0000000F
0000000F000000060000000600001C2480A21D>56 D<007F800001FFE000078078000E00
1C0018000600300003006000018060000180C00000C0C00000C0C00000C0C00000C0C000
00C0C00000C0C00000C0C00000C0C00000C0C00000C0C00000C0C00000C0C00000C0C000
00C0C00000C0C00000C0C00000C0C00000C0C00000C0C00000C0C00000C0C00000C04000
00401A1F7D9D21>92 D<000F0038007000E001C001C001C001C001C001C001C001C001C0
01C001C001C001C001C001C001C001C0038007001E00F0001E000700038001C001C001C0
01C001C001C001C001C001C001C001C001C001C001C001C001C001C000E000700038000F
10317CA419>102 D<F0001E000700038001C001C001C001C001C001C001C001C001C001
C001C001C001C001C001C001C001C000E000700038000F0038007000E001C001C001C001
C001C001C001C001C001C001C001C001C001C001C001C001C001C0038007001E00F00010
317CA419>I E /Fm 14 62 df<60F0F0F0F0F0F0F0706060606060600000000060F0F060
04177D960A>33 D<0180030006000C001C001800380030007000700060006000E000E000
E000E000E000E000E000E000E000E00060006000700070003000380018001C000C000600
0300018009227E980E>40 D<C0006000300018001C000C000E0006000700070003000300
0380038003800380038003800380038003800380030003000700070006000E000C001C00
180030006000C00009227E980E>I<003000003000003000003000003000003000003000
003000003000003000003000FFFFFCFFFFFC003000003000003000003000003000003000
00300000300000300000300000300016187E931B>43 D<07C01FF03C78783C701C701CF0
1EF01EF01EF01EF01EF01EF01EF01EF01E701C701C783C3C781FF007C00F157F9412>48
D<03000F00FF00F700070007000700070007000700070007000700070007000700070007
0007007FF07FF00C157E9412>I<1F803FE071F0F8F0F878F87870780078007800F000E0
01C0038007000E000C18181830387FF0FFF0FFF00D157E9412>I<0FC01FF03078783C78
3C783C103C007800F007E007E00078003C001E701EF81EF81EF83C70383FF00FC00F157F
9412>I<007000F000F001F003F0077006700E701C70187030707070E070FFFEFFFE0070
00700070007003FE03FE0F157F9412>I<60307FF07FE07F8060006000600060006F807F
C070E06070007800786078F078F078F07060E03FC01F000D157E9412>I<01F007F80E1C
1C3C383C70187000F080F7F0FFF8F81CF81CF01EF01EF01E701E701E381C3C381FF007C0
0F157F9412>I<60007FFE7FFE7FFCE018C018C030006000C00180018003800300070007
0007000F000F000F000F000F0006000F167E9512>I<07C01FF03838701C701C701C7C1C
3F383FF00FE01FF83DFC70FCE03EE00EE00EE00E700C78383FF00FC00F157F9412>I<FF
FFFCFFFFFC000000000000000000000000000000000000FFFFFCFFFFFC160A7E8C1B>61
D E /Fn 37 123 df<00000FF000003FFC0000F00E0001C01E0001C01E0003C01C000380
00000780000007800000078000000F0000000F0000000F0000000F000001FFFFF001FFFF
F0001E00F0001E01E0001E01E0001E01E0001E01E0003C03C0003C03C0003C03C0003C03
C0003C078000780780007807880078078C00780F1800780F1800F00F1800F0073000F007
E000F001C000E0000001E0000001E0000001C0000001C0000073C00000F3800000F30000
007E0000003C0000001F2D82A21B>12 D<00000FF01FF000003FF87FFC00007079E00E00
00E07B801E0001C033801E0003C007801C0003C00F00000003C00F00000007800F000000
07800F00000007801E00000007801E00000007801E0000000F001E000001FFFFFFFFF001
FFFFFFFFF0000F003C00F0000F003C01E0001E003C01E0001E003C01E0001E007801E000
1E007803C0001E007803C0003C007803C0003C007803C0003C00F00780003C00F0078000
3C00F00788007800F0078C007800F00F18007801E00F18007801E00F18007801E0073000
F001E007E000F001E001C000F003C0000000F003C0000000E003C0000001E00380000001
C00780000071C707000000F18F0E000000F38F1C0000007F07F80000003C03F00000002F
2D82A22B>14 D<0000C0000180000300000600000C0000180000380000700000E00000E0
0001C0000380000380000700000700000F00000E00001E00001C00001C00003C00003800
00380000780000780000700000700000F00000F00000F00000E00000E00000E00000E000
00E00000E00000E00000E00000E00000E00000E00000E00000E000006000007000007000
003000003800001800000C0000123279A414>40 D<000C00000600000700000300000380
0003800001800001C00001C00001C00001C00001C00001C00001C00001C00001C00001C0
0001C00001C00001C00003C00003C00003C0000380000380000780000780000700000700
000F00000E00000E00001E00001C00003C0000380000380000700000700000E00001C000
01C0000380000700000600000C0000180000300000600000C00000123280A414>I<0E1E
3F3E3E1E06060C0C18383060C08008107D850F>44 D<7FF87FF8FFF07FF00D047D8B11>
I<387CFCFCF87006067B850F>I<0000300000780000780000F00000F00000F00000E000
01E00001E00001C00003C00003C0000380000780000700000F00000E00001E00001C0000
38000038000070C00061E000E3C001C3C00383C00303C00607800C07801F87807FE780E0
7F00401FF0000FC0000F00001E00001E00001E00001E00003C00003C00003C0000180015
2B7EA019>52 D<007C0001FE000387000603800C03801803801803803003806003806007
80600700E00F00F03E00F07C00E0F80003F00007E0000F80000F00001E00001C30001C70
001CE0001FC0000F80000000000000000000000000000000001C00003E00007E00007E00
007C0000380000112477A319>63 D<00FFFFF00000FFFFFC00000F003E00000F000F0000
1E000780001E000780001E0003C0001E0003C0003C0003C0003C0003E0003C0003E0003C
0003E000780003E000780003E000780003E000780003E000F00007C000F00007C000F000
07C000F00007C001E0000F8001E0000F8001E0000F0001E0001F0003C0001E0003C0003C
0003C0007C0003C0007800078000F000078001E000078007800007801F0000FFFFFC0000
FFFFF0000023227DA125>68 D<00FFF800FFF8000F00000F00001E00001E00001E00001E
00003C00003C00003C00003C0000780000780000780000780000F00000F00000F00000F0
0001E00001E00001E00001E00003C00003C00003C00003C0000780000780000780000780
00FFF800FFF80015227DA113>73 D<0001F060000FFCC0001E0FC0003807C0007003C000
E0038000C0038001C0038001C00380038003000380030003C0000003C0000003E0000001
F8000001FF000000FFE000007FF000001FF8000003FC0000007C0000003C0000001E0000
001E0000001E0030001C0030001C0030001C00300018007000380070007000780060007C
01C000EF038000C7FF000081FC00001B247DA21B>83 D<0078C001FDE00387E00707C00E
03C01C03C03C03C0380780780780780780780780F00F00F00F00F00F10F00F18F01E3070
1E30703E3038EE601FCFC00F038015157B9419>97 D<03E03FC03FC003C003C007800780
078007800F000F000F000F001E001E781FFC1F8E3E0E3C0F3C073C0F780F780F780F780F
F01EF01EF01EF03CF0387078707070E03FC00F0010237BA216>I<007E0001FF0003C380
0703800E07801C07803C0000380000780000780000780000F00000F00000F00000F00000
F00100700300700E00383C001FF0000FC00011157B9416>I<00003E0003FC0003FC0000
3C00003C0000780000780000780000780000F00000F00000F00000F00001E00079E001FD
E00387E00707C00E03C01C03C03C03C0380780780780780780780780F00F00F00F00F00F
10F00F18F01E30701E30703E3038EE601FCFC00F038017237BA219>I<00F803FC0F0E1E
063C063806780CF038FFF0FF80F000E000E000E000E000E002E006701C70783FE00F800F
157A9416>I<00003C0000FF0001CF0001CF0003C6000380000780000780000780000780
000F00000F00000F00000F0001FFF801FFF8001E00001E00001E00001E00001E00003C00
003C00003C00003C00003C0000780000780000780000780000780000F00000F00000F000
00F00000E00001E00001E00001C00001C00073C000F38000F300007E00003C0000182D82
A20F>I<001E30003F7800F1F801C0F001C0F00380F00780F00701E00F01E00F01E00F01
E01E03C01E03C01E03C01E03C01E07800E07800E0F800E1F8007FF0001EF00000F00000F
00001E00001E00001E00703C00F03800F0F0007FE0003F8000151F7E9416>I<00F8000F
F0000FF00000F00000F00001E00001E00001E00001E00003C00003C00003C00003C00007
8000078F8007BFC007F1E00FC0F00F80F00F00F00F00F01E01E01E01E01E01E01E01E03C
03C03C03C03C03C43C078678078C780F0C780F18780738F007F06001C017237DA219>I<
006000F000E000E0000000000000000000000000000000000F001F8033C063C0C3C0C780
C78007800F000F000F001E001E001E203C303C60786078C039C03F800E000C217CA00F>
I<00F8000FF0000FF00000F00000F00001E00001E00001E00001E00003C00003C00003C0
0003C0000780000781E00783F00786300F08700F10F00F20F00F40601F80001F80001FE0
001EF0003C78003C7C003C3C203C3C307878607878607878407838C0F01F80600F001423
7DA216>107 D<01F01FE01FE001E001E003C003C003C003C007800780078007800F000F
000F000F001E001E001E001E003C003C003C003C007800780079007980F300F300F30073
007E001C000C237CA20C>I<1E07E03E003F1FF0FF0067B879C78067E03F03C0C7C03E03
C0C7803C03C0C7803C03C00F007807800F007807800F007807800F007807801E00F00F00
1E00F00F001E00F00F101E00F01E183C01E01E303C01E03C303C01E03C603C01E01CE078
03C01FC0300180070025157C9428>I<1E07C03F1FE067B8F067E078C7C078C78078C780
780F00F00F00F00F00F00F00F01E01E01E01E01E01E21E03C33C03C63C07863C078C3C03
9C7803F83000E018157C941B>I<007E0001FF0003C3800701C00E01C01C01E03C01E03C
01E07801E07801E07801E0F003C0F003C0F00380F00780700700700E00701C003838001F
F00007C00013157B9419>I<01E0F003F3FC067F1E067C0E0C7C0F0C780F0C780F00F00F
00F00F00F00F00F00F01E01E01E01E01E01E01E03C03C03803E07803E07003F1E007BF80
079F000780000780000F00000F00000F00000F00001E00001E0000FFE000FFE000181F80
9419>I<00F0C001F9C0078FC00E07800E07801C07803C0780380F00780F00780F00780F
00F01E00F01E00F01E00F01E00F03C00703C00707C0070FC003FF8000F78000078000078
0000F00000F00000F00000F00001E00001E0001FFE001FFE00121F7B9416>I<1E0F803F
3FC067F0E067E0E0C7C1E0C781E0C780C00F00000F00000F00000F00001E00001E00001E
00001E00003C00003C00003C00003C000078000030000013157C9415>I<007C0001FF00
0383800703800E07800E07800E02000F80000FF8000FFC0007FE0001FF00001F00000F00
700F00F00E00F00E00E01C007038003FF0001FC00011157D9414>I<00E001E001E001E0
01E003C003C003C003C00780FFF8FFF807800F000F000F000F001E001E001E001E003C00
3C003C103C1878307830786038C03F800F000D1F7C9E10>I<0F00301F807833C07863C0
F0C3C0F0C780F0C780F00781E00F01E00F01E00F01E01E03C01E03C01E03C41E03C61E07
8C1E078C1E0F8C0E1B980FF3F003E0E017157C941A>I<0F01C01F83E033C3E063C1E0C3
C0E0C780E0C780E00780C00F00C00F00C00F00C01E01801E01801E01801E03001E03001E
06001E04000F1C0007F80003E00013157C9416>I<0F0060701F80F0F833C0F0F863C1E0
78C3C1E038C781E038C781E0380783C0300F03C0300F03C0300F03C0301E0780601E0780
601E0780601E0780C01E0780C01E0781801E0F81800F1BC30007F9FE0003E0F8001D157C
9420>I<03C3C00FE7E0187C30307C707078F06078F060786000F00000F00000F00000F0
0001E00001E00001E02071E030F3C060F3C060E3C0C0E7E3807CFF00383C0014157D9416
>I<0F00301F807833C07863C0F0C3C0F0C780F0C780F00781E00F01E00F01E00F01E01E
03C01E03C01E03C01E03C01E07801E07801E0F800E1F800FFF0003EF00000F00000F0000
1E00301E00783C0078380070700061E0003FC0001F0000151F7C9418>I<00F03003F870
07FEE007FFC00C07800C0300000600000C0000180000300000600000C000018000030040
0600600C00C01F03C03FFF8079FF0060FE00C0380014157E9414>I
E /Fo 22 86 df<FFF0FFF0FFF0FFF0FFF00C057F8C11>45 D<00700001F0000FF000FF
F000FFF000F3F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003
F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F000FFFF80FF
FF80FFFF80111D7C9C1A>49 D<07F0001FFE003FFF007C7F80FE3FC0FE1FC0FE1FE0FE0F
E07C0FE0380FE0001FE0001FC0001F80003F00003E00007C0000F80000F00001C0000380
E00700E00E00E01C01E01FFFE03FFFC07FFFC0FFFFC0FFFFC0FFFFC0131D7D9C1A>I<01
FC0007FF000FFF801E1FC03F0FE03F0FE03F0FE03F0FE01E0FE0001FC0001F80003F0001
FE0001FC00000F80000FE00007F00007F00007F83807F87C07F8FE07F8FE07F8FE07F0FC
0FF07C0FE03FFFC01FFF0003FC00151D7E9C1A>I<0003C00003C00007C0000FC0001FC0
003FC0003FC00077C000E7C001C7C00387C00707C00707C00E07C01C07C03807C07007C0
F007C0FFFFFEFFFFFEFFFFFE000FC0000FC0000FC0000FC0000FC001FFFE01FFFE01FFFE
171D7F9C1A>I<7000007FFFF87FFFF87FFFF87FFFF07FFFE0FFFFC0F003C0E00780E00F
00E01E00003C00003C0000780000780000F80000F80001F00001F00001F00001F00003F0
0003F00003F00003F00003F00003F00003F00003F00001E000151E7D9D1A>55
D<01FC0007FF000FFF801F07C01E07E03E03E03E03E03F03E03F83E03FE3C03FF7C01FFF
800FFF000FFFC007FFE01FFFE03E7FF07C1FF87807F8F803F8F800F8F800F8F800F8F800
F07C01F03F03E03FFFC00FFF8003FC00151D7E9C1A>I<01FC0007FF001FFF803F07C07E
03E07E03E0FE03F0FE03F0FE03F0FE03F8FE03F8FE03F8FE03F87E07F87E07F83E07F81F
FFF807FBF80043F80003F03C03F07E03F07E07E07E07E07E0FC03C1F803FFF001FFC0007
F000151D7E9C1A>I<3C7EFFFFFFFF7E3C000000003C7EFFFFFFFF7E3C08147D930F>I<FF
FFFE00FFFFFFC0FFFFFFE007E007F007E003F807E003FC07E003FC07E003FC07E003FC07
E003FC07E003FC07E003F807E007F007E01FE007FFFF8007FFFFE007E007F007E003F807
E001FC07E001FC07E001FE07E001FE07E001FE07E001FE07E001FE07E001FC07E003FC07
E007F8FFFFFFF0FFFFFFE0FFFFFF001F1F7E9E25>66 D<FFFFFE0000FFFFFFC000FFFFFF
F00007F00FF80007F001FC0007F000FE0007F0007F0007F0007F0007F0003F8007F0003F
8007F0003F8007F0003FC007F0003FC007F0003FC007F0003FC007F0003FC007F0003FC0
07F0003FC007F0003FC007F0003FC007F0003F8007F0003F8007F0003F8007F0007F0007
F0007F0007F000FE0007F001FC0007F00FF800FFFFFFF000FFFFFFC000FFFFFE0000221F
7E9E28>68 D<FFFFFFE0FFFFFFE0FFFFFFE007F007E007F003E007F001E007F000F007F0
00F007F0707007F0707007F0707007F0707007F1F00007FFF00007FFF00007FFF00007F1
F00007F0700007F0701C07F0701C07F0701C07F0003807F0003807F0003807F0007807F0
007807F001F807F007F8FFFFFFF0FFFFFFF0FFFFFFF01E1F7E9E22>I<FFFF80FFFF80FF
FF8007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007
F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007
F00007F000FFFF80FFFF80FFFF80111F7F9E14>73 D<FFFF81FFE0FFFF81FFE0FFFF81FF
E007F0007C0007F000F80007F001F00007F003C00007F007800007F00F000007F01E0000
07F07C000007F0F8000007F1F8000007F3F8000007F7FC000007FFFE000007FEFF000007
FCFF000007F87F800007F03FC00007F01FE00007F01FE00007F00FF00007F007F80007F0
07F80007F003FC0007F001FE0007F000FF00FFFF87FFF0FFFF87FFF0FFFF87FFF0241F7E
9E29>75 D<FFFFC000FFFFC000FFFFC00007F0000007F0000007F0000007F0000007F000
0007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F000
0007F0000007F001C007F001C007F001C007F001C007F003C007F003C007F0078007F007
8007F00F8007F03F80FFFFFF80FFFFFF80FFFFFF801A1F7E9E1F>I<FFF001FFF0FFF801
FFF0FFFC01FFF007FE000E0007FF000E0007FF000E00077F800E00073FC00E00071FE00E
00071FF00E00070FF00E000707F80E000703FC0E000701FE0E000701FF0E000700FF0E00
07007F8E0007003FCE0007003FEE0007001FEE0007000FFE00070007FE00070003FE0007
0003FE00070001FE00070000FE000700007E000700003E00FFF8003E00FFF8001E00FFF8
000E00241F7E9E29>78 D<001FF80000FFFF0001F81F8007F00FE00FE007F01FC003F81F
8001F83F8001FC7F8001FE7F0000FE7F0000FEFF0000FFFF0000FFFF0000FFFF0000FFFF
0000FFFF0000FFFF0000FFFF0000FFFF0000FF7F0000FE7F0000FE7F8001FE3F8001FC3F
8001FC1FC003F80FE007F007F00FE001F81F8000FFFF00001FF800201F7D9E27>I<FFFF
FE00FFFFFF80FFFFFFE007F00FF007F007F807F003F807F003FC07F003FC07F003FC07F0
03FC07F003FC07F003FC07F003F807F007F007F00FF007FFFFC007FFFF0007F0000007F0
000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0
0000FFFF8000FFFF8000FFFF80001E1F7E9E24>I<FFFFF80000FFFFFF0000FFFFFFC000
07F01FE00007F00FF00007F007F00007F007F80007F007F80007F007F80007F007F80007
F007F80007F007F00007F00FE00007F01FC00007FFFF000007FFFC000007F07E000007F0
3F000007F01F800007F01FC00007F01FC00007F01FC00007F01FE00007F01FE00007F01F
E00007F01FE07007F01FF07007F01FF070FFFF8FF8E0FFFF87FFE0FFFF80FF80241F7E9E
27>82 D<03FC180FFF381FFFF83E03F87C00F8780078F80078F80038F80038FC0000FF00
00FFF8007FFF007FFFC03FFFE01FFFF00FFFF803FFF8001FFC0001FC0000FC00007CE000
7CE0007CE0007CF00078F800F8FE01F0FFFFE0E7FFC0C1FF00161F7D9E1D>I<7FFFFFFC
7FFFFFFC7FFFFFFC7E0FE0FC780FE03C700FE01CF00FE01EF00FE01EE00FE00EE00FE00E
E00FE00EE00FE00E000FE000000FE000000FE000000FE000000FE000000FE000000FE000
000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE00007FFFFC0
07FFFFC007FFFFC01F1E7E9D24>I<FFFF83FFE0FFFF83FFE0FFFF83FFE007F0001C0007
F0001C0007F0001C0007F0001C0007F0001C0007F0001C0007F0001C0007F0001C0007F0
001C0007F0001C0007F0001C0007F0001C0007F0001C0007F0001C0007F0001C0007F000
1C0007F0001C0007F0001C0007F0001C0007F0001C0007F0003C0003F800380003F80078
0001FC00F00000FE03F000007FFFC000001FFF80000003FC0000231F7E9E28>I
E /Fp 28 119 df<000FF000007FFC0001FC1E0003F03E0007E07F000FC07F000FC07F00
0FC07F000FC03E000FC008000FC000000FC000000FC00000FFFFFF00FFFFFF00FFFFFF00
0FC03F000FC03F000FC03F000FC03F000FC03F000FC03F000FC03F000FC03F000FC03F00
0FC03F000FC03F000FC03F000FC03F000FC03F000FC03F000FC03F007FF0FFE07FF0FFE0
7FF0FFE01B237FA21F>12 D<FFFCFFFCFFFCFFFCFFFC0E057F8D13>45
D<FFFFFF8000FFFFFFF000FFFFFFFC0007F003FE0007F0007F0007F0003F8007F0001FC0
07F0000FE007F0000FE007F0000FF007F00007F007F00007F007F00007F007F00007F807
F00007F807F00007F807F00007F807F00007F807F00007F807F00007F807F00007F807F0
0007F807F00007F007F00007F007F00007F007F0000FE007F0000FE007F0001FC007F000
3F8007F0007F0007F003FE00FFFFFFFC00FFFFFFF000FFFFFF800025227EA12B>68
D<FFFFE0FFFFE0FFFFE003F80003F80003F80003F80003F80003F80003F80003F80003F8
0003F80003F80003F80003F80003F80003F80003F80003F80003F80003F80003F80003F8
0003F80003F80003F80003F80003F80003F80003F800FFFFE0FFFFE0FFFFE013227FA115
>73 D<FFFF807FFCFFFF807FFCFFFF807FFC07F0000F0007F0001E0007F0007C0007F000
F00007F001E00007F003C00007F007800007F00F000007F01E000007F03C000007F07800
0007F1FC000007F3FE000007F7FE000007FF7F000007FE7F800007FC3F800007F81FC000
07F01FE00007F00FE00007F007F00007F007F80007F003F80007F001FC0007F001FE0007
F000FF0007F0007F0007F0007F80FFFF83FFFCFFFF83FFFCFFFF83FFFC26227EA12C>75
D<FFFFE000FFFFE000FFFFE00007F0000007F0000007F0000007F0000007F0000007F000
0007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F000
0007F0000007F0000007F0003807F0003807F0003807F0003807F0007807F0007807F000
7807F000F007F001F007F003F007F00FF0FFFFFFF0FFFFFFF0FFFFFFF01D227EA122>I<
0007FC0000003FFF800000FE0FE00003F803F80007E000FC000FE000FE001FC0007F001F
80003F003F80003F803F80003F807F80003FC07F00001FC07F00001FC0FF00001FE0FF00
001FE0FF00001FE0FF00001FE0FF00001FE0FF00001FE0FF00001FE0FF00001FE0FF0000
1FE07F00001FC07F00001FC07F80003FC03F80003F803F81F03F801FC3F87F000FE70CFE
0007E606FC0003FE07F80000FF0FE000003FFF80000007FF8020000003C020000003E060
000003FFE0000003FFE0000001FFC0000001FFC0000000FFC0000000FF800000007F0000
00001E00232C7DA12A>81 D<FFFFFE0000FFFFFFC000FFFFFFF00007F007F80007F001FC
0007F001FE0007F000FE0007F000FF0007F000FF0007F000FF0007F000FF0007F000FF00
07F000FE0007F001FE0007F001FC0007F007F00007FFFFC00007FFFF000007F01FC00007
F007E00007F007F00007F003F00007F003F80007F003F80007F003F80007F003F80007F0
03FC0007F003FC0007F003FC0007F003FC0E07F001FE0EFFFF81FF1CFFFF80FFF8FFFF80
1FF027227EA12A>I<01FC0C07FF9C1FFFFC3F03FC7C00FC78007C78003CF8001CF8001C
F8001CFC0000FF0000FFE0007FFF007FFFC03FFFF01FFFF80FFFFC03FFFE003FFE0003FF
00007F00003F00001FE0001FE0001FE0001FF0001EF0003EFC003CFF00FCFFFFF8E7FFE0
C0FF8018227DA11F>I<FFFF07FFF83FFEFFFF07FFF83FFEFFFF07FFF83FFE07F0003F80
01C007F0003F8001C007F8003F8003C003F8007FC0038003F8007FC0038003FC00FFE007
8001FC00EFE0070001FC00EFE0070000FE01EFF00E0000FE01C7F00E0000FE01C7F00E00
007F03C7F81C00007F0383F81C00007F8383F83C00003F8783FC3800003F8701FC380000
3FC701FC7800001FCE00FE7000001FCE00FE7000001FEE00FEF000000FFC007FE000000F
FC007FE000000FFC007FE0000007F8003FC0000007F8003FC0000003F8003F80000003F0
001F80000003F0001F80000001F0001F00000001E0000F00000001E0000F000037227FA1
3A>87 D<07FC001FFF803E0FC07F07E07F03E07F03F03E03F01C03F00003F000FFF007FF
F01FE3F03F83F07F03F0FE03F0FE03F0FE03F0FE03F07E07F07F1DFF1FF8FF07E07F1816
7E951B>97 D<FF800000FF800000FF8000001F8000001F8000001F8000001F8000001F80
00001F8000001F8000001F8000001F8000001F8000001F8FE0001FFFF8001FF07C001FC0
3E001F803F001F801F801F801F801F801FC01F801FC01F801FC01F801FC01F801FC01F80
1FC01F801FC01F801FC01F801F801F801F801F803F001FC03E001FE0FC001E7FF8001C0F
C0001A237EA21F>I<00FF0007FFC00FC3E01F07F03F07F07E07F07E03E07E01C0FE0000
FE0000FE0000FE0000FE0000FE00007E00007E00007F00003F00701F80E00FE1E007FFC0
00FE0014167E9519>I<0003FE000003FE000003FE0000007E0000007E0000007E000000
7E0000007E0000007E0000007E0000007E0000007E0000007E0001FE7E0007FFFE000FC1
FE001F00FE003F007E007E007E007E007E00FE007E00FE007E00FE007E00FE007E00FE00
7E00FE007E00FE007E00FE007E007E007E007E007E003F007E001F00FE000F83FFC007FF
7FC001FC7FC01A237EA21F>I<00FE0007FF800F87C01F03E03F01F07E01F07E01F8FE01
F8FE01F8FFFFF8FFFFF8FE0000FE0000FE00007E00007E00007F00003F00381F80700FE0
F003FFC000FF0015167E951A>I<001F8000FFE001F3E003E7F007E7F00FC7F00FC7F00F
C3E00FC0000FC0000FC0000FC0000FC000FFFC00FFFC00FFFC000FC0000FC0000FC0000F
C0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000F
C0007FFC007FFC007FFC0014237FA211>I<FF800000FF800000FF8000001F8000001F80
00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F87
E0001F9FF8001FB8FC001FE07C001FC07E001FC07E001F807E001F807E001F807E001F80
7E001F807E001F807E001F807E001F807E001F807E001F807E001F807E001F807E001F80
7E00FFF1FFC0FFF1FFC0FFF1FFC01A237EA21F>104 D<1E003F007F807F807F807F803F
001E00000000000000000000000000FF80FF80FF801F801F801F801F801F801F801F801F
801F801F801F801F801F801F801F801F80FFF0FFF0FFF00C247FA30F>I<FF80FF80FF80
1F801F801F801F801F801F801F801F801F801F801F801F801F801F801F801F801F801F80
1F801F801F801F801F801F801F801F801F801F801F80FFF0FFF0FFF00C237FA20F>108
D<FF87E000FF9FF800FFB8FC001FE07C001FC07E001FC07E001F807E001F807E001F807E
001F807E001F807E001F807E001F807E001F807E001F807E001F807E001F807E001F807E
001F807E00FFF1FFC0FFF1FFC0FFF1FFC01A167E951F>110 D<00FE0007FFC00F83E01F
01F03E00F87E00FC7E00FC7E00FCFE00FEFE00FEFE00FEFE00FEFE00FEFE00FEFE00FE7E
00FC7E00FC3F01F81F01F00F83E007FFC000FE0017167E951C>I<FF8FE000FFFFF800FF
F0FC001FC07E001F803F001F803F801F801F801F801FC01F801FC01F801FC01F801FC01F
801FC01F801FC01F801FC01F801FC01F803F801F803F801F803F001FC07E001FE0FC001F
FFF8001F8FC0001F8000001F8000001F8000001F8000001F8000001F8000001F800000FF
F00000FFF00000FFF000001A207E951F>I<00FE070007FF8F000FC1DF001F80FF003F00
7F007F003F007F003F007E003F00FE003F00FE003F00FE003F00FE003F00FE003F00FE00
3F00FE003F007F003F007F003F003F007F001F80FF000FC1FF0007FFBF0000FC3F000000
3F0000003F0000003F0000003F0000003F0000003F0000003F000001FFE00001FFE00001
FFE01B207E951E>I<FF3E00FF7F80FFC7C01FCFE01F8FE01F8FE01F87C01F83801F8000
1F80001F80001F80001F80001F80001F80001F80001F80001F80001F8000FFF800FFF800
FFF80013167E9517>I<07F3001FFF00781F00700F00F00700F00700F80000FF0000FFF0
007FFC003FFE001FFF0007FF00003F80E00F80E00780F00780F00780F80700FC1E00FFFC
00C7F00011167E9516>I<01C00001C00001C00001C00003C00003C00003C00007C00007
C0000FC0003FFF00FFFF00FFFF000FC0000FC0000FC0000FC0000FC0000FC0000FC0000F
C0000FC0000FC0000FC3800FC3800FC3800FC3800FC3800FC30007E70003FE0000FC0011
207F9F16>I<FF83FE00FF83FE00FF83FE001F807E001F807E001F807E001F807E001F80
7E001F807E001F807E001F807E001F807E001F807E001F807E001F807E001F807E001F80
7E001F80FE001F80FE000F83FFC007FF7FC001FC7FC01A167E951F>I<FFF03FE0FFF03F
E0FFF03FE00FC00E000FE01E0007E01C0007E01C0003F0380003F0380003F8780001F870
0001FCF00000FCE00000FCE000007FC000007FC000007FC000003F8000003F8000001F00
00001F0000000E00001B167F951E>I E /Fq 36 119 df<003F000000FFC00003C1E060
0700F0C00E00F0C01E0078C03C0079803C00798078007B0078007B0078007E00F0007E00
F0007C00F0007800F0007800700078007000F8003803BC403C0F3CE01FFC1FC007E00F00
1B157E941F>11 D<00C00C0001E01E0001E01E0003C03C0003C03C0003C03C0003C03C00
078078000780780007807800078078000F00F0000F00F0000F00F0800F00F0C01F01E180
1F01E1801F03E1001F86E3003FFCFE003DF03C003C0000003C0000007800000078000000
7800000078000000F0000000F0000000F0000000F0000000E00000001A207F941D>22
D<07FFFF800FFFFFC01FFFFF803FFFFF8070318000E0618000C06180000061800000E380
0000C3800001C3800001C3800001C3800003838000038380000783C0000703C0000F03C0
000F03E0000E01E0000E01C0001A157F941C>25 D<78FCFCFCFC7806067C850E>58
D<78FCFCFEFE7E0606060C0C1C1830706007107C850E>I<0000001800000078000001E0
0000078000001E00000078000003E000000F8000003C000000F0000003C000000F000000
3C000000F0000000F00000003C0000000F00000003C0000000F00000003C0000000F8000
0003E0000000780000001E0000000780000001E000000078000000181D1C7C9926>I<00
0180000180000380000300000300000700000600000600000E00000C00000C00001C0000
180000180000180000380000300000300000700000600000600000E00000C00000C00001
C0000180000180000380000300000300000700000600000600000E00000C00000C00000C
00001C0000180000180000380000300000300000700000600000600000E00000C00000C0
000011317DA418>I<C0000000F00000003C0000000F00000003C0000000F00000003E00
00000F80000001E0000000780000001E0000000780000001E00000007800000078000001
E00000078000001E00000078000001E000000F8000003E000000F0000003C000000F0000
003C000000F0000000C00000001D1C7C9926>I<000001C000000001C000000003C00000
0003C000000007C00000000FC00000000FC00000001FC00000001FE000000037E0000000
33E000000063E0000000C3E0000000C3E000000183E000000183E000000303E000000703
E000000603E000000C03F000000C03F000001801F000003801F000003FFFF000007FFFF0
00006001F00000C001F00000C001F000018001F000030001F000030001F000070001F800
1F0001F800FFC01FFF80FFC01FFF8021237EA225>65 D<007FFFFFC000FFFFFFC00007C0
07C00007C003C0000F8001C0000F8001C0000F800180000F800180001F000180001F0001
80001F018180001F018180003E030000003E030000003E070000003E0F0000007FFE0000
007FFE0000007C0E0000007C0E000000F80C000000F80C000000F80C000000F80C000001
F000000001F000000001F000000001F000000003E000000003E000000003E000000007E0
0000007FFF000000FFFF00000022227EA120>70 D<007FFE3FFF00FFFE7FFF0007C003E0
0007C003E0000F8007C0000F8007C0000F8007C0000F8007C0001F000F80001F000F8000
1F000F80001F000F80003E001F00003E001F00003E001F00003FFFFF00007FFFFE00007C
003E00007C003E00007C003E0000F8007C0000F8007C0000F8007C0000F8007C0001F000
F80001F000F80001F000F80001F000F80003E001F00003E001F00003E001F00007E003F0
007FFE3FFF00FFFE7FFF0028227EA128>72 D<007FFE07FF00FFFE07FF0007C001F00007
C001C0000F800380000F800700000F800C00000F801800001F003000001F006000001F01
C000001F038000003E060000003E0E0000003E1E0000003E3F0000007CFF0000007DDF00
00007F0F8000007E0F800000FC0FC00000F807C00000F807C00000F807E00001F003E000
01F003E00001F003F00001F001F00003E001F00003E001F80003E000F80007E001FC007F
FE0FFF80FFFE0FFF8028227EA129>75 D<007FFF0000FFFF000007C0000007C000000F80
00000F8000000F8000000F8000001F0000001F0000001F0000001F0000003E0000003E00
00003E0000003E0000007C0000007C0000007C0000007C000000F8000000F8003000F800
3000F8006001F0006001F0006001F000C001F000C003E001C003E0038003E0078007E01F
807FFFFF00FFFFFF001C227EA121>I<007FF00007FF00FFF00007FF0007F0000FE00007
F0001BE0000DF0001FC0000DF00037C0000DF00037C0000DF00067C00019F000CF800019
F000CF800019F0018F800018F8018F800030F8031F000030F8031F000030F8061F000030
F80C1F000060F80C3E000060F8183E000060F8183E000060F8303E0000C0F8607C0000C0
F8607C0000C0F8C07C0000C07CC07C0001807D80F80001807F00F80001807F00F8000180
7E00F80003007E01F00003007C01F00003007C01F0000F807803F0007FF0703FFF00FFF0
707FFF0030227EA12F>I<007FFFE00000FFFFFC000007C03E000007C00F00000F800F80
000F800780000F800780000F800780001F000F80001F000F80001F000F80001F001F0000
3E001E00003E003C00003E007800003E01F000007FFFC000007FFF8000007C07C000007C
03E00000F801E00000F801F00000F801F00000F801F00001F003E00001F003E00001F003
E00001F003E00003E007C00003E007C0C003E007C0C007E003C1807FFE03E380FFFE01FF
000000007C0022237EA125>82 D<0003F030000FFC60001E0EE0003803E0007003E000E0
01C000C001C001C001C001C001C00380018003C0018003C0000003C0000003E0000003FC
000001FF800001FFF00000FFF800003FFC000007FC0000007C0000003E0000001E000000
1E0000001E0030001C0030001C0030001C00300018007000380070007000780060007C00
C000EF038000C7FF000081FC00001C247DA21E>I<1FFFFFFE1FFFFFFE1F01F01E3C01F0
0E3803E00E3003E00E7003E00C6003E00C6007C00CC007C00CC007C00CC007C00C000F80
00000F8000000F8000000F8000001F0000001F0000001F0000001F0000003E0000003E00
00003E0000003E0000007C0000007C0000007C0000007C000000F8000000F8000000F800
0001F800007FFFE000FFFFE0001F227EA11D>I<FFFC00FFC0FFF800FFC00FC0003E000F
800018000F800038000FC00030000FC000600007C000600007C000C00007C001800007C0
01800007C003000007C007000007C006000007E00C000007E00C000003E018000003E038
000003E030000003E060000003E060000003E0C0000003E180000003F180000003F30000
0001F300000001F600000001FC00000001FC00000001F800000001F800000001F0000000
01E000000000E000000000C000000022237DA11C>86 D<FFFC00FFE0FFF800FFE00FC000
3E000FC000380007C000300007E000600007E000E00003F001C00003F001800001F00300
0001F806000001F80C000000F81C000000FC18000000FC300000007C600000007EC00000
007FC00000003F800000003F000000003E000000003E000000003E000000003E00000000
7C000000007C000000007C000000007C00000000F800000000F800000000F800000001F8
0000001FFF8000003FFF80000023227EA11C>89 D<0078C001FDE00387E00707C00E03C0
1C03C03C03C0380780780780780780780780F00F00F00F00F00F08F00F0CF01E18701E18
703E1038EE301FCFE00F03C016157E941A>97 D<00003E0003FC0003FC00003C00003C00
00780000780000780000780000F00000F00000F00000F00001E00079E001FDE00387E007
07C00E03C01C03C03C03C0380780780780780780780780F00F00F00F00F00F08F00F0CF0
1E18701E18703E1038EE301FCFE00F03C017237EA219>100 D<007C0003FF000783800E
01801C0180380180780300701E00FFFC00FFE000F00000E00000E00000E00000E00000E0
0080F00180700700381E001FF8000FE00011157D9417>I<000F8C003FDE0070FE00E07C
01C03C03803C07803C0700780F00780F00780F00781E00F01E00F01E00F01E00F01E01E0
0E01E00E03E0070FE003FFC001F3C00003C00003C0000780000780380780780F00F81E00
F83C007FF8003FC000171F809417>103 D<00F8000FF0000FF00000F00000F00001E000
01E00001E00001E00003C00003C00003C00003C000078000078F8007BFC007F1E00FC0F0
0F80F00F00F00F00F01E01E01E01E01E01E01E01E03C03C03C03C03C07823C0783780786
780F06780F0C780718F007F06001E018237EA21C>I<007000F800F800F000E000000000
0000000000000000000000000F001F8033C061C0C3C0C3C0C3C00780078007800F000F00
1E001E101E183C303C303C603CE01FC00F000D227FA111>I<0000600000F00001F00001
F00000E0000000000000000000000000000000000000000000000000001E00007F8000E3
C001C3C00183C00303C00303C0000780000780000780000780000F00000F00000F00000F
00001E00001E00001E00001E00003C00003C00003C00003C0000780000780038780078F0
00F9E000FBC0007F80003E0000142C81A114>I<00F8000FF0000FF00000F00000F00001
E00001E00001E00001E00003C00003C00003C00003C0000780000780F00781F807830C0F
0E3C0F187C0F307C0F60781FC0301FC0001FF8001E7C003C1E003C1F003C0F083C0F0C78
1E18781E18781E30780E30F007E06003C016237EA219>I<01F01FE01FE001E001E003C0
03C003C003C007800780078007800F000F000F000F001E001E001E001E003C003C003C00
3C0078007800788078C0F180F180F18073007F001E000C237EA20F>I<1E03F01F803F8F
F87FC063DC3CE1E063F01F80F0C3E01F00F0C3C01E00F0C3C01E00F007803C01E007803C
01E007803C01E007803C01E00F007803C00F007803C00F007807820F007807831E00F007
861E00F00F061E00F00F0C1E00F007183C01E007F01800C001E028157F942B>I<1E03E0
003F8FF00063DC780063F03C00C3E03C00C3C03C00C3C03C000780780007807800078078
00078078000F00F0000F00F0000F01E0800F01E0C01E01E1801E03C1801E03C3001E01C6
003C01FC00180078001A157F941D>I<03C0F007F3FC0C7F1E0C7C0E187C0F18780F1878
0F00F00F00F00F00F00F00F00F01E01E01E01E01E01E01E03C03C03803E07803E07003F1
E007BF80079F000780000780000F00000F00000F00000F00001E00001E0000FFE000FFE0
00181F819418>112 D<1E07803F9FC063F8E063E1E0C3E3E0C3C3E0C3C3C00781800780
000780000780000F00000F00000F00000F00001E00001E00001E00001E00003C00001800
0013157F9416>114 D<007E0000FF0001C38003838007078007078007020007C00007FC
0007FE0003FF0001FF80001F80300780780780F80700F80700F00E00701C003FF8000FE0
0011157E9417>I<00E001E001E001E001E003C003C003C003C00780FFFCFFFC07800F00
0F000F000F001E001E001E001E003C003C003C083C0C78187838783038E03FC00F000E1F
7F9E12>I<0F8018001FC03C0031E03C0061E07800E1E07800C1E07800C3C0780003C0F0
000780F0000780F0000780F0000F01E0000F01E0000F01E1000F01E1800F03C3000F03C3
000F07C200070DC60007F9FC0001F0780019157F941C>I<0F80601FC0F031E0F861E078
E1E038C1E038C3C03803C0300780300780300780300F00600F00600F00C00F00C00F0180
0F01800F030007860003FC0001F80015157F9418>I E /Fr 75 127
df<000FC1F0003FF7F800F87E3C01E0FC7C03C0FC7C03C0F83807807800078078000780
78000780780007807800078078000780780007807800FFFFFFC0FFFFFFC0078078000780
780007807800078078000780780007807800078078000780780007807800078078000780
78000780780007807800078078000780780007807800078078007FE1FFC07FE1FFC01E23
80A21C>11 D<000FC000003FE00000F8700001E0780003C0F80003C0F8000780F8000780
7000078000000780000007800000078000000780000007800000FFFFF800FFFFF8000780
F80007807800078078000780780007807800078078000780780007807800078078000780
7800078078000780780007807800078078000780780007807800078078007FE1FF807FE1
FF80192380A21B>I<0007E03F00003FF1FF8000F83FC1C001E03F01E003C07E03E003C0
7E03E007807C03E007803C01C007803C000007803C000007803C000007803C000007803C
000007803C0000FFFFFFFFE0FFFFFFFFE007803C03E007803C01E007803C01E007803C01
E007803C01E007803C01E007803C01E007803C01E007803C01E007803C01E007803C01E0
07803C01E007803C01E007803C01E007803C01E007803C01E007803C01E07FF1FF8FFE7F
F1FF8FFE272380A229>14 D<78FCFCFCFCFCFCFC78787878787878787878783030303030
30000000000078FCFCFCFC7806247CA30E>33 D<781E00FC3F00FC3F00FE3F80FE3F807E
1F800601800601800601800C03000C03001C0700180600300C00701C0060180011107EA2
18>I<78FCFCFEFE7E0606060C0C1C1830706007107CA20E>39 D<0030006000C0018003
80070006000E000E001C001C003800380038007800700070007000F000F000F000F000F0
00F000F000F000F000F000F000F000F000F00070007000700078003800380038001C001C
000E000E00060007000380018000C0006000300C327DA413>I<C0006000300018001C00
0E000600070007000380038001C001C001C001E000E000E000E000F000F000F000F000F0
00F000F000F000F000F000F000F000F000F000E000E000E001E001C001C001C003800380
0700070006000E001C00180030006000C0000C327DA413>I<78FCFCFEFE7E0606060C0C
1C1830706007107C850E>44 D<FFE0FFE0FFE00B037F8B10>I<78FCFCFCFC7806067C85
0E>I<01F00007FC000F1E001E0F003C07803803807803C07803C07803C07803C0F803E0
F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0
F803E07803C07803C07803C07803C03C07803C07801E0F000F1E0007FC0001F00013227E
A018>48 D<00C001C007C0FFC0FBC003C003C003C003C003C003C003C003C003C003C003
C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C0FFFFFFFF10
217CA018>I<03F0000FFC001C3F00300F806007806007C0F803C0FC03E0FC03E0FC03E0
7803E03003E00003E00007C00007C0000780000F00001F00001E00003C0000780000F000
00E0000180000380600700600E00601C00E01800C03FFFC07FFFC0FFFFC0FFFFC013217E
A018>I<03F0000FFC001C1F00380F803807807C07C07C07C07C07C03C07C01807C00007
80000F80000F00001E00003C0003F80003F800001E00000F000007800007C00003C00003
E03003E07803E0FC03E0FC03E0FC03C0F803C06007803007801C1F000FFC0003F0001322
7EA018>I<000700000700000F00001F00001F00003F00003F00006F0000EF0000CF0001
8F00018F00030F00070F00060F000C0F001C0F00180F00380F00300F00600F00E00F00FF
FFF8FFFFF8000F00000F00000F00000F00000F00000F00000F0001FFF801FFF815217FA0
18>I<1000801C07801FFF001FFE001FFC001FF000180000180000180000180000180000
18000019F8001BFC001F0F001C07001807801803C00003C00003E00003E00003E00003E0
7803E0F803E0F803E0F803C0F003C06007C0600780300F001C1E000FFC0003F00013227E
A018>I<007E0001FF0003C3800701C00E03C01E07C01C07C03C03803C00007800007800
00780000F9FC00FBFE00FE0700FC0780FC03C0FC03C0F803C0F803E0F803E0F803E0F803
E0F803E07803E07803E07803E03803C03C03C01C07801E07000F0E0007FC0001F0001322
7EA018>I<6000007000007FFFE07FFFE07FFFC07FFFC0600180E00300C00300C00600C0
0C00000C0000180000380000300000700000600000E00000E00001E00001E00001C00003
C00003C00003C00003C00003C00007C00007C00007C00007C00007C00007C00007C00003
800013237DA118>I<01F00007FC000E0F001807803803803001C07001C07001C07001C0
7801C07C03803E03803F87001FEE000FFC0007FC0003FE000FFF001C7F80381FC0700FC0
7003E0E001E0E001E0E000E0E000E0E000E0E000C07001C07001803803801E0F000FFC00
03F00013227EA018>I<01F00007FC000E0E001C07003C0780780380780380F803C0F803
C0F803C0F803E0F803E0F803E0F803E0F803E07803E07807E07807E03C07E01C0FE00FFB
E007F3E00003C00003C00003C00007803807807C07007C0F00780E00301C003838001FF0
0007C00013227EA018>I<78FCFCFCFC7800000000000000000078FCFCFCFC7806157C94
0E>I<78FCFCFCFC7800000000000000000070F8FCFCFC7C0C0C0C1C181830306040061F
7C940E>I<FFFFFFFEFFFFFFFE0000000000000000000000000000000000000000000000
000000000000000000FFFFFFFEFFFFFFFE1F0C7D9126>61 D<000180000003C0000003C0
000003C0000007E0000007E0000007E000000FF000000DF000000DF000001DF8000018F8
000018F8000038FC0000307C0000307C0000607E0000603E0000603E0000C03F0000C01F
0000C01F0001801F8001FFFF8001FFFF80030007C0030007C0030007C0060003E0060003
E0060003E00E0001F01F0003F0FFC01FFFFFC01FFF20237EA225>65
D<000FE010003FF83000F81C7001E0067003C003F0078001F00F0000F01E0000F03E0000
703C0000707C0000707C0000307800003078000030F8000030F8000000F8000000F80000
00F8000000F8000000F8000000F800000078000030780000307C0000307C0000303C0000
603E0000601E0000600F0000C0078000C003C0018001E0030000F80E00003FF800000FE0
001C247DA223>67 D<FFFFF000FFFFFE0007C01F0007C007C007C003C007C001E007C000
F007C000F807C0007807C0007C07C0003C07C0003C07C0003C07C0003E07C0003E07C000
3E07C0003E07C0003E07C0003E07C0003E07C0003E07C0003E07C0003C07C0003C07C000
7C07C0007807C0007807C000F007C001E007C003E007C007C007C01F00FFFFFE00FFFFF8
001F227EA125>I<FFFFFFC0FFFFFFC007C00FC007C003C007C001C007C000C007C000E0
07C000E007C0006007C0606007C0606007C0606007C0600007C0E00007C1E00007FFE000
07FFE00007C1E00007C0E00007C0600007C0600007C0601807C0601807C0001807C00030
07C0003007C0003007C0003007C0007007C000F007C001F007C007E0FFFFFFE0FFFFFFE0
1D227EA121>I<FFFFFFC0FFFFFFC007C00FC007C003C007C001C007C000C007C000E007
C000E007C0006007C0006007C0606007C0606007C0600007C0600007C0E00007C1E00007
FFE00007FFE00007C1E00007C0E00007C0600007C0600007C0600007C0600007C0000007
C0000007C0000007C0000007C0000007C0000007C0000007C00000FFFF0000FFFF00001B
227EA120>I<0007F008003FFC1800FC0E3801E0033803C001F8078000F80F0000781E00
00781E0000383C0000383C0000387C0000187800001878000018F8000018F8000000F800
0000F8000000F8000000F8000000F8000000F8003FFF78003FFF7C0000F87C0000F83C00
00F83C0000F81E0000F81E0000F80F0000F8078000F803C001F801F003B800FC0718003F
FC080007F00020247DA226>I<FFFE7FFFFFFE7FFF07C003E007C003E007C003E007C003
E007C003E007C003E007C003E007C003E007C003E007C003E007C003E007C003E007C003
E007FFFFE007FFFFE007C003E007C003E007C003E007C003E007C003E007C003E007C003
E007C003E007C003E007C003E007C003E007C003E007C003E007C003E007C003E0FFFE7F
FFFFFE7FFF20227EA125>I<FFFEFFFE07C007C007C007C007C007C007C007C007C007C0
07C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C0
07C007C0FFFEFFFE0F227FA112>I<FFFF0000FFFF000007C0000007C0000007C0000007
C0000007C0000007C0000007C0000007C0000007C0000007C0000007C0000007C0000007
C0000007C0000007C0000007C0000007C0000007C0000007C0000007C0018007C0018007
C0018007C0018007C0038007C0038007C0030007C0070007C0070007C00F0007C03F00FF
FFFF00FFFFFF0019227EA11E>76 D<FFE00007FFFFF0000FFF07F0000FE007F0000FE006
F8001BE006F8001BE006F8001BE0067C0033E0067C0033E0067C0033E0063E0063E0063E
0063E0063E0063E0061F00C3E0061F00C3E0061F00C3E0060F8183E0060F8183E0060F81
83E00607C303E00607C303E00607C303E00603E603E00603E603E00603E603E00601FC03
E00601FC03E00601FC03E00600F803E00600F803E00600F803E01F807003E0FFF0707FFF
FFF0707FFF28227EA12D>I<FFC00FFFFFE00FFF07E001F807F0006007F8006006F80060
067C0060067E0060063E0060063F0060061F0060060F8060060FC0600607C0600607E060
0603E0600601F0600601F8600600F86006007C6006007C6006003E6006003F6006001F60
06000FE006000FE0060007E0060007E0060003E0060001E0060001E01F8000E0FFF000E0
FFF0006020227EA125>I<000FE000007FFC0000F83E0003E00F80078003C00F0001E00F
0001E01E0000F03E0000F83C0000787C00007C7C00007C7800003C7800003CF800003EF8
00003EF800003EF800003EF800003EF800003EF800003EF800003EF800003E7C00007C7C
00007C7C00007C3C0000783E0000F81E0000F00F0001E00F8003E007C007C003E00F8000
F83E00007FFC00000FE0001F247DA226>I<FFFFF000FFFFFC0007C03F0007C00F8007C0
078007C003C007C003C007C003E007C003E007C003E007C003E007C003E007C003C007C0
03C007C0078007C00F8007C03F0007FFFC0007FFF00007C0000007C0000007C0000007C0
000007C0000007C0000007C0000007C0000007C0000007C0000007C0000007C0000007C0
0000FFFE0000FFFE00001B227EA121>I<FFFFE00000FFFFF8000007C03E000007C00F00
0007C007800007C007C00007C003E00007C003E00007C003E00007C003E00007C003E000
07C003E00007C007C00007C007800007C00F000007C03E000007FFF8000007FFF8000007
C07C000007C03E000007C01F000007C00F800007C00F800007C00F800007C00F800007C0
0F800007C00F800007C00F800007C00F800007C00F818007C00F818007C007C180FFFE03
E300FFFE01FE000000007C0021237EA124>82 D<03F0200FFC601E0EE03803E07801E070
01E07000E0F000E0F00060F00060F00060F80000F800007E00007FC0003FFC001FFF000F
FF8007FFC000FFC0000FE00003E00001F00001F00000F0C000F0C000F0C000F0C000F0E0
00E0E001E0F001C0F803C0EF0780C7FF0081FC0014247DA21B>I<7FFFFFF87FFFFFF87C
07C0F87007C0386007C0186007C018E007C01CE007C00CC007C00CC007C00CC007C00CC0
07C00C0007C0000007C0000007C0000007C0000007C0000007C0000007C0000007C00000
07C0000007C0000007C0000007C0000007C0000007C0000007C0000007C0000007C00000
07C0000007C0000007C00003FFFF8003FFFF801E227EA123>I<FFFE0FFFFFFE0FFF07C0
01F807C0006007C0006007C0006007C0006007C0006007C0006007C0006007C0006007C0
006007C0006007C0006007C0006007C0006007C0006007C0006007C0006007C0006007C0
006007C0006007C0006007C0006007C0006007C0006003C0004003C000C003E000C001E0
018000F0018000780700003C0E00001FF8000003F00020237EA125>I<FFF83FFE07FEFF
F83FFE07FE0F8007E001F00F8003E000E00F8003E0006007C003F000C007C003F000C007
C003F000C003E007F8018003E006F8018003E006F8018003F006F8038001F00C7C030001
F00C7C030001F00C7C030000F8183E060000F8183E060000F8183E0600007C383F0C0000
7C301F0C00007C301F0C00007E301F1C00003E600F9800003E600F9800003E600F980000
1FC007F000001FC007F000001FC007F000000FC007E000000F8003E000000F8003E00000
0F8003E00000070001C00000070001C00000070001C0002F237FA132>87
D<FFF800FFE0FFF800FFE00FC0003E0007E0001C0007E000380003F000300001F0007000
01F800600000FC00E00000FC00C000007E018000003E018000003F030000001F87000000
1F860000000FCE00000007CC00000007FC00000003F800000003F000000001F000000001
F000000001F000000001F000000001F000000001F000000001F000000001F000000001F0
00000001F000000001F000000001F00000003FFF8000003FFF800023227FA125>89
D<FEFEC0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0
C0C0C0C0C0C0C0C0C0C0C0C0FEFE07317BA40E>91 D<FEFE060606060606060606060606
060606060606060606060606060606060606060606060606060606060606060606FEFE07
317FA40E>93 D<0C1C1830706060C0C0C0FCFEFE7E7E3C07107DA20E>96
D<1FE0003FF8007C3C007C1E007C0F00380F00000F00000F0003FF000FFF003F0F007C0F
007C0F00F80F00F80F18F80F18F80F18781F187C3FB83FE7F00F83C015157E9418>I<0F
0000FF0000FF00001F00000F00000F00000F00000F00000F00000F00000F00000F00000F
00000F00000F1F800F7FE00FE1F00F80780F00780F003C0F003C0F003E0F003E0F003E0F
003E0F003E0F003E0F003E0F003C0F003C0F00780F80F00EE1F00E7FC00C1F0017237FA2
1B>I<01FE0007FF000F0F801E0F803C0F807C0700780000F80000F80000F80000F80000
F80000F80000F800007C00007C00C03C00C01E01800F830007FE0001F80012157E9416>
I<0001E0001FE0001FE00003E00001E00001E00001E00001E00001E00001E00001E00001
E00001E00001E003F1E007FDE01F07E03E03E03C01E07801E07801E0F801E0F801E0F801
E0F801E0F801E0F801E0F801E07801E07801E03C01E03C03E01F0FF00FFDFE03F1FE1723
7EA21B>I<01FC0007FF000F0F801E07C03C03C07C03E07801E0FFFFE0FFFFE0F80000F8
0000F80000F80000F800007800007C00603C00601E00C00F838007FF0000FC0013157F94
16>I<001E00007F0001E78001CF8003CF80078700078000078000078000078000078000
078000078000078000FFF800FFF800078000078000078000078000078000078000078000
0780000780000780000780000780000780000780000780000780000780007FFC007FFC00
112380A20F>I<0000F003F1F80FFFB81E1E383C0F303C0F007C0F807C0F807C0F807C0F
803C0F003C0F001E1E001FFC0033F0003000003000003800003FFE003FFFC01FFFE03FFF
F07801F0700078E00038E00038E00038E000387000703800E01E03C00FFF8001FC001521
7F9518>I<0F0000FF0000FF00001F00000F00000F00000F00000F00000F00000F00000F
00000F00000F00000F00000F1F800F7FC00FE1E00FC0F00F80F00F00F00F00F00F00F00F
00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F0FFF3FFFF
F3FF18237FA21B>I<1E003F003F003F003F001E0000000000000000000000000000000F
00FF00FF001F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F
00FFE0FFE00B2280A10D>I<00F001F801F801F801F800F0000000000000000000000000
0000007807F807F800F80078007800780078007800780078007800780078007800780078
007800780078007800780078007800787078F870F8F0F9E07FC01F000D2C83A10F>I<0F
0000FF0000FF00001F00000F00000F00000F00000F00000F00000F00000F00000F00000F
00000F00000F0FFC0F0FFC0F03E00F03800F07000F0E000F1C000F38000F78000FFC000F
BE000F1E000F1F000F0F800F07800F07C00F03C00F03E00F03F0FFE7FEFFE7FE17237FA2
1A>I<0F00FF00FF001F000F000F000F000F000F000F000F000F000F000F000F000F000F
000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F00FFF0FF
F00C2380A20D>I<0F0FC07E00FF3FE1FF00FFE0F707801FC07E03C00F807C03C00F0078
03C00F007803C00F007803C00F007803C00F007803C00F007803C00F007803C00F007803
C00F007803C00F007803C00F007803C00F007803C00F007803C00F007803C0FFF3FF9FFC
FFF3FF9FFC26157F9429>I<0F1F80FF7FC0FFE1E01FC0F00F80F00F00F00F00F00F00F0
0F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F0FFF3FF
FFF3FF18157F941B>I<01FC0007FF000F07801E03C03C01E07800F07800F0F800F8F800
F8F800F8F800F8F800F8F800F8F800F87800F07C01F03C01E01E03C00F078007FF0001FC
0015157F9418>I<0F1F80FF7FE0FFE1F00F80F80F00780F007C0F007C0F003E0F003E0F
003E0F003E0F003E0F003E0F003E0F007C0F007C0F00780F80F00FE1F00F7FC00F1F000F
00000F00000F00000F00000F00000F00000F00000F0000FFF000FFF000171F7F941B>I<
01F06007FCE00F0EE01E03E03C03E07C01E07C01E0F801E0F801E0F801E0F801E0F801E0
F801E0F801E07C01E07C01E03C03E03E03E01F0FE00FFDE003F1E00001E00001E00001E0
0001E00001E00001E00001E00001E0001FFE001FFE171F7E941A>I<0F7CFFFEFFDF1F9F
0F9F0F0E0F000F000F000F000F000F000F000F000F000F000F000F000F00FFF8FFF81015
7F9413>I<0FC83FF870786018E018E018F000FC007FC03FE01FF00FF8007CC03CC01CE0
1CE01CF018F838DFF08FC00E157E9413>I<03000300030003000700070007000F001F00
3F00FFF8FFF80F000F000F000F000F000F000F000F000F000F000F0C0F0C0F0C0F0C0F0C
0F0C079803F001E00E1F7F9E13>I<0F00F0FF0FF0FF0FF01F01F00F00F00F00F00F00F0
0F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F01F00F01F00787F8
03FEFF01F8FF18157F941B>I<FFE3FEFFE3FE1F00F80F00600F00600780C00780C007C0
C003C18003C18003E38001E30001E30000F60000F60000FE00007C00007C00007C000038
0000380017157F941A>I<FF8FF9FFFF8FF9FF1F03E07C0F01C0380F01E0300F01E03007
83E0600783F0600783F06003C670C003C678C003C678C001EC398001EC3D8001EC3D8000
F81F0000F81F0000F81F0000700E0000700E0000700E0020157F9423>I<7FE3FF007FE3
FF0007C1F00003C0E00003E1C00001E3800000F3000000FF0000007E0000003C0000003E
0000003E0000007F00000067800000C7C00001C3C0000181E0000381F0000F81F800FFC3
FF80FFC3FF80191580941A>I<FFE3FEFFE3FE1F00F80F00600F00600780C00780C007C0
C003C18003C18003E38001E30001E30000F60000F60000FE00007C00007C00007C000038
00003800003000003000007000006000F86000F8C000F9C000FB80007F00003E0000171F
7F941A>I<3FFFC03FFFC03C0780380F00301F00703E00603C0060780060F80001F00001
E00003E0C007C0C00780C00F00C01F01C03E01803C0380780780FFFF80FFFF8012157F94
16>I<FFFFFEFFFFFE1702808D18>I<FFFFFFFFFFFFFFFFFFFFFFFF3002808D31>I<1E04
3FDE7FFCF7F840F00F057CA018>126 D E /Fs 11 107 df<FFFFFFC0FFFFFFC01A027C
8B23>0 D<70F8F8F87005057C8D0D>I<01800180018001800180C183F18F399C0FF003C0
03C00FF0399CF18FC1830180018001800180018010147D9417>3
D<03C00FF01C38300C60066006C003C003C003C003C003C00360066006300C1C380FF003
C010127D9317>14 D<03C00FF01FF83FFC7FFE7FFEFFFFFFFFFFFFFFFFFFFFFFFF7FFE7F
FE3FFC1FF80FF003C010127D9317>I<000000C0000003C000000F0000003C000000F000
0003C00000070000001C00000078000001E00000078000001E00000078000000E0000000
780000001E0000000780000001E0000000780000001C0000000700000003C0000000F000
00003C0000000F00000003C0000000C00000000000000000000000000000000000000000
00000000000000007FFFFF80FFFFFFC01A247C9C23>20 D<000000040000000002000000
0002000000000100000000008000000000400000000020FFFFFFFFFCFFFFFFFFFC000000
002000000000400000000080000000010000000002000000000200000000040026107D92
2D>33 D<0000020000000003000000000300000000018000000000C000000000C0000000
0060007FFFFFF000FFFFFFFC000000000E00000000038000000001F0000000007C000000
00F000000003C000000007000000000C00FFFFFFF8007FFFFFF0000000006000000000C0
0000000180000000018000000003000000000300000000020000261A7D972D>41
D<003FF800FFF803C0000700000C0000180000300000300000600000600000C00000C000
00C00000FFFFF8FFFFF8C00000C00000C000006000006000003000003000001800000C00
0007000003C00000FFF8003FF8151C7C981E>50 D<400001C00003600006600006600006
30000C30000C30000C1800181800181800180FFFF00FFFF00C0030060060060060060060
0300C00300C001818001818001818000C30000C30000C300006600006600006600003C00
003C00003C000018000018001821809F19>56 D<C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0
C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0022D7BA10D>
106 D E /Ft 27 116 df<03E0000FF8601C3C60381CC0780EC0F00EC0F00F80F00F00E0
0F00E00E00E01F007077203FE7E01F83C0130E7F8D17>11 D<000F80003FC00070E000C0
600180600300E00700E00600E00601C00C3F800C7F800C3FC00C01C01801E01801E01801
E01801E03803C03803C03803803C07006FFE0063F800604000600000C00000C00000C000
00C00000131D809614>I<0C0E001C3F001C7F001CC6003B80003FC0003FF00038780070
38007038C07038C0703980E01F00600E00120E7F8D14>20 D<1E00001F80000380000380
0003C00001C00001E00000E00000E00000F00000700000700000780000F80001FC00039C
00071C000E1E001C0E00380E00700F00E00700C0038011177E9615>I<0601800E03800E
03800E03801C07001C07001C07001C0700380E00380E60381E603C3E407FEFC077C78070
0000700000E00000E00000E00000C0000013147F8D15>I<7C0180FC03801C03801C0700
380700380E00380E00381C0070780070F00073C0007F8000FE0000F00000110E7F8D11>
I<0FFFE01FFFF03FFFE0718C00C18C00019C00039C00031C00031C00071C00071C000E1E
000E0E000C0C00140E808D14>25 D<60F0F06004047D830A>58 D<60F0F07030307060E0
40040A7D830A>I<07FFF80007FFFE0000F00F0000F0078000F0038001E003C001E001C0
01E001C001E001C003C003C003C003C003C003C003C003C0078007800780078007800700
07800F000F001E000F001C000F0078000F01F000FFFFC000FFFF00001A177F961D>68
D<07FF07FF00F000F000F001E001E001E001E003C003C003C003C007800780078007800F
000F000F000F00FFE0FFE010177F960F>73 D<07FF0FF807FF0FF000F0078000F00E0000
F01C0001E0300001E0600001E1C00001E3800003C7800003CF800003FF800003F3C00007
C3C0000781E0000781E0000781F0000F00F0000F00F0000F0078000F007800FFE1FF00FF
C1FF001D177F961E>75 D<001FC0007FF001F07803C03C07801C0F001E1E001E1C001E3C
001E38001E78001E78001E78001E70003CF0003C7000787000787870F078F9E03D8BC01F
8F800FFE0003FC10000C10000E30000FE0000FC0000FC0000700171D7F961C>81
D<003E3000FF6001C1E00300E00700E00E00C00E00C00F00000F80000FF80007FE0003FF
0000FF80000F80000780000380300380600700700700700E00781C00FFF80087E0001417
7E9615>83 D<03CC0FFC1C3C383C7038F038F038F038E070E073E0F3F1F27FFE1E3C100E
7F8D13>97 D<7E007C001C001C001C00380038003800380077C07FE078707078E078E078
E078E078C0F0C0F0C0E0E3C07F803E000D177F960F>I<03E00FF01C7838787870F000F0
00F000E000E000E01070703FE01F800D0E7F8D0F>I<001F80001F000007000007000007
00000E00000E00000E00000E0003DC000FFC001C3C00383C00703800F03800F03800F038
00E07000E07300E0F300F1F2007FFE001E3C0011177F9612>I<1F80001F000007000007
00000700000E00000E00000E00000E00001CF8001DFE001F0E001E0E003C0E003C0E0038
0E00381C00701C00701CC07038C0703980E01F00600E0012177F9614>104
D<018003C003C00180000000000000000000001E003F0067006700C7000E000E000E001C
001CC038C039801F000E000A1780960C>I<0018003C003C001800000000000000000000
01E003F006380C38187000700070007000E000E000E000E001C001C001C071C0F380F700
FE007C000E1D80960E>I<1F801F000700070007000E000E000E000E001C1E1C3E1C671D
CF3B1E3F0C3FC039E070E070E370E370E6E07C603810177F9612>I<3F3E0E0E0E1C1C1C
1C3838383870707070E0E6E6E4FC7808177F960B>I<1C3E0F803E7FBFC067C3F1C06783
E1C0CF03C1C00F0381C00E0381C00E0383801C0703801C0703981C0707181C070730380E
03E0180601C01D0E808D1F>I<1C3E003E7F8067C380678380CF03800F03800E03800E07
001C07001C07301C0E301C0E603807C0180380140E808D15>I<0E3E001F7F0033C38033
83C06703C00703C00703C00703C00E07800E07800E07000F1E001FFC001DF0001C00001C
0000380000380000FF0000FE00001214818D12>112 D<07C00FE01CF01CF03CE03F801F
C00FE001E0F0E0F0E0E1C0FF803F000C0E7E8D10>115 D E /Fu
51 122 df<007E01FE07800E001E003C003C0078007FF87FF8F000F000F0007000700070
0038001C180FF807E00F147E9312>15 D<78FCFCFCFC7806067D850D>58
D<78FCFCFEFE7E0606060C0C18387020070F7D850D>I<000001C00000078000001E0000
0078000001E00000078000000E0000003C000000F0000003C000000F0000003C000000F0
000000F00000003C0000000F00000003C0000000F00000003C0000000E00000007800000
01E0000000780000001E0000000780000001C01A1A7C9723>I<00030003000700060006
000E000C000C001C0018001800380030003000700060006000E000C000C001C001800180
01800380030003000700060006000E000C000C001C001800180038003000300070006000
6000E000C000C000102D7DA117>I<E0000000780000001E0000000780000001E0000000
780000001C0000000F00000003C0000000F00000003C0000000F00000003C0000003C000
000F0000003C000000F0000003C000000F0000001C00000078000001E00000078000001E
00000078000000E00000001A1A7C9723>I<000007000000070000000F0000001F000000
1F0000003F0000003F0000007F0000007F000000DF0000019F0000019F0000031F800003
1F8000060F8000060F80000C0F8000180F8000180F8000300F8000300F80007FFF8000FF
FF8000C00F8001800F8001800FC003000FC0030007C0060007C01F000FC0FFC0FFFCFFC0
FFFC1E207E9F22>65 D<00FFFFF000FFFFFC000F803E000F801E000F801F001F001F001F
001F001F001F001F001F003E003E003E003E003E007C003E00F8007C03E0007FFFC0007F
FFE0007C01F000F800F800F800F800F8007800F8007801F000F801F000F801F000F801F0
00F003E001F003E003E003E007C003E00F807FFFFF00FFFFF800201F7F9E22>I<0000FE
020007FF06001F818C003E00DC0078007C00F0007C01E0003803C00038078000380F8000
381F0000301F0000303E0000303E0000007C0000007C0000007C0000007C000000F80000
00F8000000F8000000F80000C0F80001807800018078000300780003003C0006003C000C
001E0018000F00300007C0E00003FF800000FE00001F217E9F21>I<00FFFFF00000FFFF
FC00000F803E00000F800F00000F800780001F000780001F0003C0001F0003C0001F0003
C0003E0003C0003E0003C0003E0003C0003E0003C0007C0007C0007C0007C0007C0007C0
007C0007C000F8000F8000F8000F8000F8000F0000F8001F0001F0001E0001F0001E0001
F0003C0001F000780003E000F00003E001E00003E003C00003E01F80007FFFFE0000FFFF
F80000221F7F9E26>I<00FFFFFF8000FFFFFF00000F800F00000F800700000F80070000
1F000300001F000300001F000300001F000600003E030600003E030600003E030000003E
070000007C0E0000007FFE0000007FFE0000007C0E000000F80C000000F80C000000F80C
060000F80C0C0001F0000C0001F0000C0001F000180001F000380003E000300003E00070
0003E000E00003E007E0007FFFFFE000FFFFFFC000211F7F9E22>I<00FFFFFF8000FFFF
FF00000F800F00000F800700000F800700001F000300001F000300001F000300001F0006
00003E030600003E030600003E030000003E070000007C0E0000007FFE0000007FFE0000
007C0E000000F80C000000F80C000000F80C000000F80C000001F000000001F000000001
F000000001F000000003E000000003E000000003E000000003E00000007FFF000000FFFF
000000211F7F9E1D>I<0000FE010003FF83000F81C6003E006E0078003E00F0003E01E0
001C03C0001C0780001C0F80001C1F0000181F0000183E0000183E0000007C0000007C00
00007C0000007C000000F8000000F800FFFCF800FFFCF80003E0F80007C0780007C07800
07C0780007C03C000F803C000F801E001F800F003F8007C0F30003FFC100007F00002021
7E9F24>I<00FFFCFFFC00FFFCFFFC000F800F80000F800F80000F800F80001F001F0000
1F001F00001F001F00001F001F00003E003E00003E003E00003E003E00003E003E00007C
007C00007FFFFC00007FFFFC00007C007C0000F800F80000F800F80000F800F80000F800
F80001F001F00001F001F00001F001F00001F001F00003E003E00003E003E00003E003E0
0003E003E0007FFE7FFE00FFFC7FFE00261F7F9E26>I<00FFFE01FFFC000F80000F8000
0F80001F00001F00001F00001F00003E00003E00003E00003E00007C00007C00007C0000
7C0000F80000F80000F80000F80001F00001F00001F00001F00003E00003E00003E00003
E000FFFE00FFFE00171F809E14>I<001FFF80003FFF800000F8000000F8000000F80000
01F0000001F0000001F0000001F0000003E0000003E0000003E0000003E0000007C00000
07C0000007C0000007C000000F8000000F8000000F8000000F8000001F0000001F00003C
1F00007C1F0000FC3E0000FC3E0000F87C0000F078000071F000003FE000001F80000019
207E9E19>I<00FFFC0FFC00FFFC1FFC000F8007E0000F800700000F800E00001F001C00
001F003000001F006000001F00C000003E038000003E070000003E0C0000003E1C000000
7C3C0000007CFE0000007DFE0000007F3E000000FE3F000000FC1F000000F81F000000F8
1F800001F00F800001F00F800001F00FC00001F007C00003E007C00003E003E00003E003
E00003E003F0007FFE3FFE00FFFE3FFE00261F7F9E27>I<00FFFE0000FFFE00000F8000
000F8000000F8000001F0000001F0000001F0000001F0000003E0000003E0000003E0000
003E0000007C0000007C0000007C0000007C000000F8000000F8000000F8006000F80060
01F000C001F000C001F0018001F0018003E0038003E0070003E00F0003E03F007FFFFE00
FFFFFE001B1F7F9E1F>I<00FFC0001FFC00FFC0001FFC000FC0003F80000FC0003F8000
0FC0006F80001BC000DF00001BC000DF000019E0019F000019E0019F000031E0033E0000
31E0063E000031E0063E000031E00C3E000061E00C7C000061E0187C000061E0307C0000
61E0307C0000C0F060F80000C0F060F80000C0F0C0F80000C0F180F8000180F181F00001
80F301F0000180F301F0000180F601F0000300FC03E00003007C03E00003007803E0000F
807803E0007FF0707FFE00FFF060FFFE002E1F7F9E2C>I<00FFC01FFC00FFC01FFC000F
E003C0000FE00180000FE001800019F003000019F003000019F803000018F803000030F8
06000030FC060000307C060000307E060000603E0C0000603E0C0000603F0C0000601F0C
0000C01F180000C00F980000C00F980000C00FD800018007F000018007F000018007F000
018003F000030003E000030001E000030001E0000F8001E0007FF000C000FFF000C00026
1F7F9E25>I<0001FC000007FF00001F07C0003C03E000F001E001E000F003C000F007C0
0078078000780F0000781F0000781E0000783E0000783E0000787C0000F87C0000F87C00
00F87C0000F8F80001F0F80001F0F80001E0F80003E0F80003C0F80007C0780007807800
0F007C001F003C003E003E007C001E00F0000F83E00007FF800001FC00001D217E9F23>
I<00FFFFE000FFFFF8000F807C000F801E000F801E001F001F001F001F001F001F001F00
1F003E003E003E003E003E003C003E0078007C00F8007C03E0007FFFC0007FFE0000F800
0000F8000000F8000000F8000001F0000001F0000001F0000001F0000003E0000003E000
0003E0000003E000007FFE0000FFFE0000201F7F9E1D>I<00FFFFC000FFFFF0000F80F8
000F803C000F803E001F003E001F003E001F003E001F003E003E007C003E007C003E00F8
003E01F0007C07C0007FFF80007FFE00007C0F0000F80F8000F8078000F807C000F807C0
01F00F8001F00F8001F00F8001F00F8003E01F0003E01F0303E01F0303E01F067FFE0F8E
FFFE07FC000001F020207F9E23>82 D<0007E080001FF180003C3B0000700F0000E00F00
01E0070001C0060003C0060003C0060003C0060007C0000007C0000007E0000003FE0000
03FFC00003FFE00001FFF000007FF000000FF0000001F8000000F8000000F0000000F000
3000F0003000F0003000E0007001E0007001C0007003C00078078000EE0F0000C7FC0000
81F8000019217D9F1C>I<0FFFFFFC1FFFFFF81E03E0781803E0383803E0183007C01830
07C0186007C0186007C030C00F8030C00F8030000F8000000F8000001F0000001F000000
1F0000001F0000003E0000003E0000003E0000003E0000007C0000007C0000007C000000
7C000000F8000000F8000000F8000001F800007FFFE0007FFFE0001E1F7F9E1B>I<7FFE
0FFE7FFE0FFE07C001E007C000C007C000C00F8001800F8001800F8001800F8001801F00
03001F0003001F0003001F0003003E0006003E0006003E0006003E0006007C000C007C00
0C007C000C007C000C00F8001800F8001800F8001800F800300078006000780060007800
C0003C0380001E0F00000FFC000003F000001F207D9E1F>I<FFFC03FFFFF803FF0FC000
F00FC000C007C0018007E0038007E0030003E0060003F00C0003F0180001F0380001F070
0001F8600000F8C00000F9800000FF000000FF0000007E0000007C0000007C0000007800
0000F8000000F8000000F8000000F0000001F0000001F0000001F0000001F000003FFF00
007FFF0000201F7F9E1A>89 D<00F8C003FDE0078FC00E07C01E03C01C03C03C07807807
80780780780780F00F00F00F00F00F00F00F18F01E30701E30703E3038FE603FCFE00F03
8015147E9318>97 D<03C03FC03F800780078007800F000F000F000F001E001E001EF01F
FC3F0E3E0E3C0F3C0F780F780F780F780FF01EF01EF01EF03CF03CF038707070E03FC00F
0010207E9F14>I<007C01FE078F0F1F1E1F1C1E3C0C780078007800F000F000F000F000
F00070027007381E1FF80FE010147E9314>I<00003C0003FC0003F80000780000780000
780000F00000F00000F00000F00001E00001E000F9E003FDE0078FC00E07C01E03C01C03
C03C0780780780780780780780F00F00F00F00F00F00F00F18F01E30701E30703E3038FE
603FCFE00F038016207E9F18>I<007C01FE07870E031E033C033C06781C7FF87FC0F000
F000F000F000700070027007381E1FF807E010147E9315>I<0000F00003FC00073C0007
7C000F7C000F38000F00001E00001E00001E00001E00001E0003FFF007FFF0003C00003C
00003C0000780000780000780000780000780000F80000F00000F00000F00000F00000F0
0001E00001E00001E00001E00001C00003C00003C000738000FB8000FF0000F70000FE00
0078000016297D9F16>I<003C6000FEF001C3E00383E00701E00F01E00F03C01E03C01E
03C01E03C03C07803C07803C07803C07803C0F003C0F001C1F001C3F000FFE0003DE0000
1E00001E00003C00703C00F83C00F87800F0F000FFE0003F0000141D7F9316>I<00F000
0FF0000FE00001E00001E00001E00003C00003C00003C00003C000078000078000079F80
07BFC00FE1E00FC0E00F80F00F00F01E01E01E01E01E01E01E01E03C03C03C03C03C03C0
3C078678078C780F0C780F18780738F007F06001C017207E9F1A>I<007000F800F800F0
00E000000000000000000000000007001FC039C031E061E063C0C3C00780078007800F00
0F000F001E181E303C303C601CE01FC007000D1F7F9E10>I<0003800007C00007C00007
8000070000000000000000000000000000000000000000780000FE00018F00030F00060F
00060F000C1E00001E00001E00001E00003C00003C00003C00003C000078000078000078
0000780000F00000F00000F00000F00001E00071E000F9E000FBC000F78000FF00007C00
001228809E13>I<00F0000FF0000FE00001E00001E00001E00003C00003C00003C00003
C0000780000780000781C00787E00F0E300F18F00F31F00F61F01EC1E01F81C01F80001F
E0003DF0003C78003C78003C3C307878607878607878407838C0F01F80600F0014207E9F
18>I<01E01FE01FC003C003C003C007800780078007800F000F000F000F001E001E001E
001E003C003C003C003C007800780078007980F300F300F300F3007E001C000B207E9F0E
>I<0E03F03F003F8FF87F8033DC3DC3C063F03F81C063E01F01E063C01E01E0C7C03C03
C007803C03C007803C03C007803C03C00F007807800F007807800F007807800F00780F0C
1E00F00F181E00F01E181E00F01E301E00F00E703C01E00FE01800C0038026147F9328>
I<0E07E0003F8FF00033F8780063F0380063E03C0063C03C00C780780007807800078078
00078078000F00F0000F00F0000F00F0000F01E1801E01E3001E03C3001E03C6001E01CE
003C01FC001800700019147F931B>I<007C0001FF000383800F01C01E01C01C01E03C01
E07801E07801E07801E0F003C0F003C0F003C0F00780F00700700F00701E003838001FF0
0007C00013147E9316>I<01C0F007F3FC067F1C0C7C0E0C780E0C780F18F00F00F00F00
F00F00F00F01E01E01E01E01E01E01E03C03C03803C07803E07003F1E007BFC0079F0007
80000780000F00000F00000F00000F00001E0000FFE000FFE000181D829317>I<00F0C0
03FBC0070F800E0F801C07803C07803C0F00780F00780F00780F00F01E00F01E00F01E00
F01E00F03C00F03C00707C0070FC003FF8000F780000780000780000F00000F00000F000
00F00001E0001FFE001FFE00121D7E9314>I<0E0F003FBF8033F18063E3C063C7C063C7
C0C787800787000780000780000F00000F00000F00000F00001E00001E00001E00001E00
003C000018000012147F9315>I<007C01FE0387070F070F070E0F000FF007FC07FE03FE
00FF001F780FF80EF80EF01C70383FF01FC010147E9315>I<00C001E003C003C003C003
C007800780FFF8FFF80F000F000F000F001E001E001E001E003C003C003C003C18783078
30786078C03F800F000D1C7F9B10>I<0700181FC03C39C07831E07861E07863C078C3C0
F00780F00780F00780F00F01E00F01E00F01E00F01E30F03C60F03C60F07C60F0FCC07F9
FC01F07018147F931A>I<0700C01FC1E039C1F031E0F061E0F063C070C3C06007806007
80600780600F00C00F00C00F00C00F01800F01800F03000F0200078E0003FC0001F00014
147F9316>I<07C3C00FE7E0187C603078F06079F06079F0C0F1E000F1C000F00000F000
01E00001E00039E00079E030FBC060FBC060F3C0C0E7E3807CFF00383C0014147E931A>
120 D<0700301FC07839C0F031E0F061E0F063C0F0C3C1E00781E00781E00781E00F03C0
0F03C00F03C00F03C00F07800F07800F07800F1F8007FF0001EF00000F00000F00381E00
7C1C007C3C0078780070F0003FE0001F8000151D7F9316>I E /Fv
43 123 df<003F0F8000FFFFC003E3F3E00787E3E00707C3E00F07C1C00F03C0000F03C0
000F03C0000F03C0000F03C000FFFFFC00FFFFFC000F03C0000F03C0000F03C0000F03C0
000F03C0000F03C0000F03C0000F03C0000F03C0000F03C0000F03C0000F03C0000F03C0
000F03C0007F87FC007F87FC001B1D809C18>11 D<003F0000FF8003E3800787C00707C0
0F07C00F03800F00000F00000F00000F0000FFFFC0FFFFC00F03C00F03C00F03C00F03C0
0F03C00F03C00F03C00F03C00F03C00F03C00F03C00F03C00F03C00F03C07F87F87F87F8
151D809C17>I<7070F8F8FCFCFCFC7C7C0C0C0C0C0C0C181818183030606040400E0D7F
9C15>34 D<00C00180030007000E000E001C001C003800380038007000700070007000F0
00F000F000F000F000F000F000F000F000F000F000F00070007000700070003800380038
001C001C000E000E0007000300018000C00A2A7D9E10>40 D<C0006000300038001C001C
000E000E00070007000700038003800380038003C003C003C003C003C003C003C003C003
C003C003C003C003800380038003800700070007000E000E001C001C00380030006000C0
000A2A7E9E10>I<70F0F8F8781818183030706040050D7D840C>44
D<FFE0FFE0FFE00B03808A0E>I<70F8F8F87005057D840C>I<07E00FF01C38381C781E70
0E700EF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00F700E700E781E38
1C1C380FF007E0101B7E9A15>48 D<07E00FF01C38381C701C700EF00EF00EF00FF00FF0
0FF00F701F701F383F1FEF0FCF000F000E000E381E7C1C7C18783830F03FE00F80101B7E
9A15>57 D<70F8F8F870000000000000000070F8F8F87005127D910C>I<003F800000FF
E00003C0780007001C000C000600181E0300383F83803071C18060E0C0C061E078C061E0
78C0C3C07860C3C07860C3C07860C3C07860C3C07860C3C07860C3C0786061E0786061E0
784060E0F8C03071F8C0383FBF80181E1F000C000000070001E003C01F8000FFFE00003F
E0001B1D7E9C20>64 D<001F808000FFE18003F03B8007C00F800F0007801E0007803E00
03803C0003807C00018078000180F8000180F8000000F8000000F8000000F8000000F800
0000F8000000F8000000780001807C0001803C0001803E0003001E0003000F00060007C0
0C0003F0380000FFF000001FC000191C7E9B1E>67 D<FFFFC000FFFFF0000F00FC000F00
3E000F001F000F000F000F0007800F0007C00F0003C00F0003C00F0003E00F0003E00F00
03E00F0003E00F0003E00F0003E00F0003E00F0003E00F0003C00F0003C00F0007C00F00
07800F000F800F000F000F003E000F00FC00FFFFF000FFFFC0001B1C7E9B20>I<FFFFFC
FFFFFC0F007C0F001C0F000C0F000E0F00060F03060F03060F03060F03000F07000FFF00
0FFF000F07000F03000F03000F03030F03030F00030F00060F00060F00060F000E0F001E
0F007CFFFFFCFFFFFC181C7E9B1C>I<FFF3FFC0FFF3FFC00F003C000F003C000F003C00
0F003C000F003C000F003C000F003C000F003C000F003C000F003C000FFFFC000FFFFC00
0F003C000F003C000F003C000F003C000F003C000F003C000F003C000F003C000F003C00
0F003C000F003C000F003C00FFF3FFC0FFF3FFC01A1C7E9B1F>72
D<FFF0FFF00F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F
000F000F000F000F000F000F000F000F00FFF0FFF00C1C7F9B0F>I<FFFF0000FFFFE000
0F01F0000F0078000F003C000F003E000F003E000F003E000F003E000F003E000F003C00
0F0078000F01F0000FFFE0000FFF80000F03C0000F01E0000F00E0000F00F0000F00F000
0F00F0000F00F8000F00F8000F00F8000F00FC300F007C30FFF03FE0FFF00FC01C1C7E9B
1F>82 D<7FFFFFC07FFFFFC0780F03C0700F01C0600F00C0E00F00E0C00F0060C00F0060
C00F0060C00F0060000F0000000F0000000F0000000F0000000F0000000F0000000F0000
000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000
03FFFC0003FFFC001B1C7F9B1E>84 D<FFF0FFC0FFF0FFC00F001E000F000C000F000C00
0F000C000F000C000F000C000F000C000F000C000F000C000F000C000F000C000F000C00
0F000C000F000C000F000C000F000C000F000C000F000C000F000C000F000C0007001800
0780180003C0300001E0E00000FFC000001F00001A1C7E9B1F>I<1FE0003FF8007C3C00
7C1E007C1E00381E00001E0007FE001FFE003C1E00781E00F01E00F01E60F01E60F03E60
787FE03FFFC00F8F8013127F9115>97 D<FE0000FE00001E00001E00001E00001E00001E
00001E00001E00001E00001E00001E7E001FFF001F87801E01C01E01E01E00E01E00F01E
00F01E00F01E00F01E00F01E00F01E00E01E01E01E01C01F87801DFF00187C00141D7F9C
17>I<03F00FF81E7C387C787C7038F000F000F000F000F000F000780078063C061E0C0F
F803E00F127F9112>I<003F80003F800007800007800007800007800007800007800007
8000078000078003E7800FFF801E1F80380780780780700780F00780F00780F00780F007
80F00780F00780700780780780380F801E1F800FF7F007E7F0141D7F9C17>I<03E00FF0
1C38381C781E700EFFFEFFFEF000F000F000F000700078063C061E0C0FF803E00F127F91
12>I<007C01FE03DF079F0F1F0F0E0F000F000F000F000F00FFE0FFE00F000F000F000F
000F000F000F000F000F000F000F000F000F000F007FF07FF0101D809C0D>I<07E3800F
FFC03C3DC0381D80781E00781E00781E00781E00381C003C3C003FF00037E00070000070
00003FF8003FFE001FFF003FFF807007C0E001C0E001C0E001C0E001C07003803C0F001F
FE0007F800121B7F9115>I<FE0000FE00001E00001E00001E00001E00001E00001E0000
1E00001E00001E00001E7E001EFF001F8F001F07801E07801E07801E07801E07801E0780
1E07801E07801E07801E07801E07801E07801E0780FFCFF0FFCFF0141D7F9C17>I<1C00
3E003E003E001C00000000000000000000000000FE00FE001E001E001E001E001E001E00
1E001E001E001E001E001E001E001E00FFC0FFC00A1D809C0B>I<FE0000FE00001E0000
1E00001E00001E00001E00001E00001E00001E00001E00001E7FC01E7FC01E3E001E1800
1E30001E60001EE0001FE0001FF0001FF0001E78001E7C001E3C001E3E001E1E001E1F00
FF9FE0FF9FE0131D7F9C16>107 D<FE00FE001E001E001E001E001E001E001E001E001E
001E001E001E001E001E001E001E001E001E001E001E001E001E001E001E001E00FFC0FF
C00A1D809C0B>I<FE3E07C0FEFF9FF01F87B0F01F03E0781F03E0781E03C0781E03C078
1E03C0781E03C0781E03C0781E03C0781E03C0781E03C0781E03C0781E03C0781E03C078
FFCFF9FFFFCFF9FF20127F9123>I<FE7E00FEFF001F8F001F07801E07801E07801E0780
1E07801E07801E07801E07801E07801E07801E07801E07801E0780FFCFF0FFCFF014127F
9117>I<03F0000FFC001E1E00380700780780700380F003C0F003C0F003C0F003C0F003
C0F003C07003807807803807001E1E000FFC0003F00012127F9115>I<FE7E00FFFF001F
87801E03C01E01E01E01E01E00F01E00F01E00F01E00F01E00F01E00F01E01E01E01E01E
03C01F87801FFF001E7C001E00001E00001E00001E00001E00001E0000FFC000FFC00014
1A7F9117>I<FEE0FFF01F781E781E301E001E001E001E001E001E001E001E001E001E00
1E00FFE0FFE00D127F9110>114 D<1FB03FF07070E030E030F000FE007FC07FE01FF007
F80078C038C038E038F070FFE08F800D127F9110>I<06000600060006000E000E001E00
3E00FFE0FFE01E001E001E001E001E001E001E001E001E301E301E301E301E300E600FE0
03C00C1A7F9910>I<FE3F80FE3F801E07801E07801E07801E07801E07801E07801E0780
1E07801E07801E07801E07801E07801E0F800E1F800FF7F003E7F014127F9117>I<FF8F
E0FF8FE01E07801E03000F06000F06000F0600078C00078C0007DC0003D80003D80003F8
0001F00001F00000E00000E00000E00013127F9116>I<FF3FCFE0FF3FCFE01E0F07801E
0F03001E0F03000F0F86000F0F86000F1B8600079BCC00079BCC0007B1CC0003F1F80003
F1F80003E0F80001E0F00001E0F00001C0700000C060001B127F911E>I<FF8FE0FF8FE0
1E07801E03000F06000F06000F0600078C00078C0007DC0003D80003D80003F80001F000
01F00000E00000E00000E00000C00000C00070C000F98000C18000C700007E00003C0000
131A7F9116>121 D<7FFC7FFC787870F860F061E063E063C00780078C0F0C1F0C1E1C3C
187C187878FFF8FFF80E127F9112>I E /Fw 2 122 df<040004000400C460E4E03F800E
003F80E4E0C4600400040004000B0D7E8D11>3 D<0C000C000C000C000C000C00FFC0FF
C00C000C000C000C000C000C000C000C000C000C000C000C000C000C000C000C000C000C
000A1A7E9310>121 D E /Fx 84 128 df<001F83F000FFEFF801E0FE7C03C1F87C0781
F87C0F01F0380F00F0000F00F0000F00F0000F00F0000F00F0000F00F000FFFFFF80FFFF
FF800F00F0000F00F0000F00F0000F00F0000F00F0000F00F0000F00F0000F00F0000F00
F0000F00F0000F00F0000F00F0000F00F0000F00F0000F00F0000F00F000FFC3FF00FFC3
FF001E20809F1B>11 D<001F8000FFC001E0E003C0F00781F00F01F00F00E00F00000F00
000F00000F00000F0000FFFFF0FFFFF00F00F00F00F00F00F00F00F00F00F00F00F00F00
F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F0FFC3FFFFC3FF1820
809F19>I<001FB000FFF001E1F003C1F00781F00F00F00F00F00F00F00F00F00F00F00F
00F00F00F0FFFFF0FFFFF00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F
00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F0FFE7FFFFE7FF1820809F19>I<
001FC0FC00007FE7FE0001F07F070003C0FE07800780FC0F800F00F80F800F007807000F
007800000F007800000F007800000F007800000F00780000FFFFFFFF80FFFFFFFF800F00
7807800F007807800F007807800F007807800F007807800F007807800F007807800F0078
07800F007807800F007807800F007807800F007807800F007807800F007807800F007807
800F00780780FFE3FF3FF8FFE3FF3FF82520809F26>I<78FCFCFCFCFCFCFC7878787878
787878783030303030000000000078FCFCFCFC7806217DA00D>33
D<781E00FC3F00FC3F00FE3F80FE3F807E1F800601800601800601800C03000C03001806
00380E00701C00200800110F7E9F17>I<0F0000301F80007038E00060787001E0707C07
C0703FFF80F031FB80F0300700F0300600F0300E00F0301C00F030180070303800706070
007860600038C0E0001F81C0000F018000000380E0000303F000070718000E070C000C0E
0C001C0E0C00381E0600301E0600701E0600E01E0600C01E0601C01E0603801E0603000E
0C07000E0C0E00070C0C0007181C0003F0180000E01F257DA126>37
D<78FCFCFEFE7E0606060C0C18387020070F7D9F0D>39 D<006000C00180038007000600
0E001C001C003C003800380078007000700070007000F000F000F000F000F000F000F000
F000F000F000F000F00070007000700070007800380038003C001C001C000E0006000700
0380018000C000600B2E7DA112>I<C0006000300038001C000C000E0007000700078003
80038003C001C001C001C001C001E001E001E001E001E001E001E001E001E001E001E001
E001C001C001C001C003C0038003800780070007000E000C001C00380030006000C0000B
2E7DA112>I<000600000006000000060000000600000006000000060000000600000006
000000060000000600000006000000060000000600000006000000060000FFFFFFF0FFFF
FFF000060000000600000006000000060000000600000006000000060000000600000006
00000006000000060000000600000006000000060000000600001C207D9A23>43
D<78FCFCFEFE7E0606060C0C18387020070F7D850D>I<FFC0FFC0FFC00A037F8B0F>I<78
FCFCFCFC7806067D850D>I<00030003000700060006000E000C000C001C001800180038
0030003000700060006000E000C000C001C0018001800180038003000300070006000600
0E000C000C001C0018001800380030003000700060006000E000C000C000102D7DA117>
I<03F0000FFC001E1E001C0E003C0F00780780780780780780780780F807C0F807C0F807
C0F807C0F807C0F807C0F807C0F807C0F807C0F807C0F807C0F807C0F807C07807807807
807807807807803C0F001C0E001E1E000FFC0003F000121F7E9D17>I<00C001C00FC0FF
C0F3C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003
C003C003C003C003C003C003C07FFF7FFF101E7D9D17>I<07F0000FFC00383E00701F00
600F80F80F80FC07C0FC07C0FC07C07807C03007C00007C0000F80000F80000F00001E00
003C0000380000700000E00001C0000380000700C00E00C00C00C01801C03FFF807FFF80
FFFF80FFFF80121E7E9D17>I<03F0000FFC001C1E00300F00780F807C0F807C0F807C0F
803C0F80000F00001F00001E00003C0003F80003F000001C00000E00000F000007800007
800007C03007C07807C0FC07C0FC07C0FC0780780F80700F003C1E001FFC0007F000121F
7E9D17>I<000E00000E00001E00003E00003E00007E00007E0000DE0001DE00019E0003
1E00071E00061E000C1E001C1E00181E00381E00301E00601E00E01E00FFFFF0FFFFF000
1E00001E00001E00001E00001E00001E0001FFE001FFE0141E7F9D17>I<3803003FFF00
3FFE003FF8003FE00030000030000030000030000030000030000031F00037FC003E1E00
3C0F003807803007800007800007C00007C00007C07807C0F807C0F807C0F80780F00780
600F00700E00383C001FF80007E000121F7E9D17>I<007C0001FE000783000F07800E0F
801C0F803C07003C0000780000780000780000F9F800FBFC00FE0E00FC0700FC0780F807
80F807C0F807C0F807C0F807C0F807C07807C07807C07807803807803C07001C0F000E1E
0007FC0001F000121F7E9D17>I<6000007FFFC07FFFC07FFF807FFF80E00300C00600C0
0600C00C0000180000300000300000600000600000E00000E00001E00001C00003C00003
C00003C00003C00003C00007C00007C00007C00007C00007C00007C00007C00003800012
1F7D9D17>I<03F0000FFC001E1E003807003007007003807003807003807803807C0700
7E07003F8E001FFC000FF80007FC0007FE001EFF00387F80701F807007C0E003C0E003C0
E001C0E001C0E001C0F001807003803807001E0E000FFC0003F000121F7E9D17>I<03F0
0007F8001E1C003C0E00380F00780700780780F80780F80780F807C0F807C0F807C0F807
C0F807C07807C0780FC0380FC01C1FC00FF7C007E7C0000780000780000780000F00380F
007C0E007C1E00781C003078001FF0000FC000121F7E9D17>I<78FCFCFCFC7800000000
0000000078FCFCFCFC7806147D930D>I<78FCFCFCFC78000000000000000070F8FCFCFC
7C0C0C0C181838306020061D7D930D>I<7FFFFFE0FFFFFFF00000000000000000000000
000000000000000000000000000000000000000000FFFFFFF07FFFFFE01C0C7D9023>61
D<0FC03FF070F86078F07CF87CF87C707C007800F801F001C00380038003000700060006
00060006000600000000000000000000000F001F801F801F801F800F000E207D9F15>63
D<0003800000038000000380000007C0000007C0000007C000000FE000000FE000000FE0
000019F0000019F0000019F0000030F8000030F8000030F8000060FC0000607C0000607C
0000E07E0000C03E0000C03E0001FFFF0001FFFF0001801F0003801F8003000F8003000F
8007000FC0070007C00F8007C0FFE07FFEFFE07FFE1F207F9F22>65
D<FFFFF000FFFFFC0007C01F0007C00F0007C00F8007C007C007C007C007C007C007C007
C007C007C007C0078007C00F8007C01F0007C03E0007FFFC0007FFFE0007C01F0007C007
8007C007C007C003C007C003E007C003E007C003E007C003E007C003E007C003C007C007
C007C00F8007C01F00FFFFFE00FFFFF8001B1F7F9E20>I<001FC040007FF0C001F839C0
03C00DC0078007C00F0003C01E0003C03E0001C03C0001C07C0001C07C0000C0780000C0
F80000C0F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000
780000C07C0000C07C0000C03C0000C03E0001801E0001800F0003000780030003C00E00
01F81C00007FF000001FC0001A217D9F21>I<FFFFF000FFFFFE0007C01F0007C0078007
C003C007C001E007C001F007C000F007C000F807C0007807C0007807C0007C07C0007C07
C0007C07C0007C07C0007C07C0007C07C0007C07C0007C07C0007C07C0007807C0007807
C000F807C000F007C000F007C001E007C003C007C0078007C01F00FFFFFE00FFFFF0001E
1F7F9E23>I<FFFFFF80FFFFFF8007C00F8007C0038007C0018007C0018007C001C007C0
00C007C000C007C060C007C060C007C0600007C0600007C0E00007FFE00007FFE00007C0
E00007C0600007C0600007C0603007C0603007C0003007C0006007C0006007C0006007C0
00E007C000E007C001E007C007C0FFFFFFC0FFFFFFC01C1F7F9E1F>I<FFFFFF80FFFFFF
8007C00F8007C0038007C0018007C0018007C001C007C000C007C000C007C060C007C060
C007C0600007C0600007C0E00007FFE00007FFE00007C0E00007C0600007C0600007C060
0007C0600007C0000007C0000007C0000007C0000007C0000007C0000007C0000007C000
00FFFF0000FFFF00001A1F7F9E1E>I<000FC020007FF86001F81CE003E006E0078003E0
0F0001E01E0001E01E0000E03C0000E07C0000E07C00006078000060F8000060F8000000
F8000000F8000000F8000000F8000000F8000000F800FFFCF800FFFC780003E07C0003E0
7C0003E03C0003E01E0003E01E0003E00F0003E0078003E003E007E001F81CE0007FF820
000FE0001E217D9F24>I<FFFC7FFEFFFC7FFE07C007C007C007C007C007C007C007C007
C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007FFFFC007
FFFFC007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007
C007C007C007C007C007C007C007C007C007C0FFFC7FFEFFFC7FFE1F1F7F9E22>I<FFFE
FFFE07C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C0
07C007C007C007C007C007C007C007C007C007C0FFFEFFFE0F1F809E10>I<0FFFE00FFF
E0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E
00003E00003E00003E00003E00003E00003E00003E00003E00003E00783E00FC3E00FC3E
00FC3E00F83C00707C0070F8001FF0000FC00013207F9E17>I<FFFE0FFEFFFE0FFE07C0
03E007C0038007C0030007C0060007C00C0007C0180007C0300007C0600007C0C00007C1
800007C3800007C7C00007CFC00007DFE00007FBF00007F1F00007E0F80007C0F80007C0
7C0007C07E0007C03E0007C01F0007C01F0007C00F8007C00FC007C007C007C007E0FFFE
3FFEFFFE3FFE1F1F7F9E23>I<FFFF00FFFF0007C00007C00007C00007C00007C00007C0
0007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C0
0307C00307C00307C00307C00707C00707C00607C00E07C01E07C07EFFFFFEFFFFFE181F
7F9E1C>I<FFC0000FFEFFE0001FFE07E0001FC007E0001FC006F00037C006F00037C006
F00037C006780067C006780067C006780067C0063C00C7C0063C00C7C0063C00C7C0061E
0187C0061E0187C0060F0307C0060F0307C0060F0307C006078607C006078607C0060786
07C00603CC07C00603CC07C00603CC07C00601F807C00601F807C00601F807C00600F007
C00F00F007C0FFF0F0FFFEFFF060FFFE271F7F9E2A>I<FFC01FFEFFE01FFE07F001E007
F000C006F800C006F800C0067C00C0067E00C0063E00C0061F00C0061F80C0060F80C006
07C0C00607E0C00603E0C00603F0C00601F0C00600F8C00600FCC006007CC006003EC006
003FC006001FC006000FC006000FC0060007C0060007C0060003C00F0001C0FFF001C0FF
F000C01F1F7F9E22>I<001F800000FFF00001E0780007C03E000F801F000F000F001E00
07803C0003C03C0003C07C0003E07C0003E0780001E0F80001F0F80001F0F80001F0F800
01F0F80001F0F80001F0F80001F0F80001F0F80001F0780001E07C0003E07C0003E03C00
03C03E0007C01E0007800F000F000F801F0007C03E0001F0F80000FFF000001F80001C21
7D9F23>I<FFFFF000FFFFFC0007C03E0007C00F0007C00F8007C0078007C007C007C007
C007C007C007C007C007C007C007C0078007C00F8007C00F0007C03E0007FFFC0007FFF0
0007C0000007C0000007C0000007C0000007C0000007C0000007C0000007C0000007C000
0007C0000007C0000007C00000FFFE0000FFFE00001A1F7F9E1F>I<001F800000FFF000
01E0780007C03E000F801F000F000F001E0007803E0007C03C0003C07C0003E07C0003E0
780001E0F80001F0F80001F0F80001F0F80001F0F80001F0F80001F0F80001F0F80001F0
F80001F0780001E07C0003E07C0003E03C0003C03E0F07C01E1F87800F38CF000FB0DF00
07F0FE0001F0780000FFF010001FF01000007010000078300000387000003FF000003FE0
00001FE000000FC0000007801C297D9F23>I<FFFFC000FFFFF80007C07C0007C01E0007
C01F0007C00F0007C00F8007C00F8007C00F8007C00F8007C00F0007C01F0007C01E0007
C07C0007FFF80007FFF00007C0F80007C07C0007C03C0007C03E0007C03E0007C03E0007
C03E0007C03E0007C03E0007C03E0007C03E0607C03E0607C01F06FFFE0F8CFFFE07F800
0001F01F207F9E21>I<07E0800FF9801C1F80380F80780780700380F00380F00180F001
80F00180F80000F800007E00007FE0003FFC003FFE001FFF0007FF0000FF80000F800007
C00007C00003C0C003C0C003C0C003C0C003C0E00380F00780F80700FE0E00CFFC0081F8
0012217D9F19>I<7FFFFFE07FFFFFE07C0F81E0700F80E0600F8060600F8060E00F8070
C00F8030C00F8030C00F8030C00F8030000F8000000F8000000F8000000F8000000F8000
000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000
000F8000000F8000000F8000000F800007FFFF0007FFFF001C1F7E9E21>I<FFFE1FFEFF
FE1FFE07C001E007C000C007C000C007C000C007C000C007C000C007C000C007C000C007
C000C007C000C007C000C007C000C007C000C007C000C007C000C007C000C007C000C007
C000C007C000C007C000C007C000C007C000C003C0018003C0018001E0018001E0030000
F00600007C1C00001FF8000007E0001F207F9E22>I<FFF807FEFFF807FE0FC001F00FC0
00E007C000C007C000C007E001C003E0018003E0018003F0038001F0030001F0030000F8
060000F8060000F80600007C0C00007C0C00007C0C00003E1800003E1800003F1800001F
3000001F3000001FF000000FE000000FE000000FE0000007C0000007C000000380000003
8000000380001F207F9E22>I<FFF8FFF83FF0FFF8FFF83FF00F800F800F800F800F8003
000F800FC0030007C007C0060007C007C0060007C007C0060003E00FE00C0003E00FE00C
0003E00FE00C0003F019F01C0001F019F0180001F019F0180001F830F8380000F830F830
0000F830F8300000F870FC3000007C607C6000007C607C6000007CE07E6000003EC03EC0
00003EC03EC000003EC03EC000001F801F8000001F801F8000001F801F8000001F000F80
00000F000F0000000F000F0000000E000700000006000600002C207F9E2F>I<FFFC03FF
80FFFC03FF8007E000F80003E000600003F000600001F000C00001F801C00000F8018000
00FC038000007E030000007E060000003F060000001F0C0000001F9C0000000F98000000
0FF800000007F000000007E000000003E000000003E000000003E000000003E000000003
E000000003E000000003E000000003E000000003E000000003E000000003E00000007FFF
0000007FFF0000211F809E22>89 D<FEFEC0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0
C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0FEFE072D7CA10D>91
D<0802001C0700380E00300C00601800601800C03000C03000C03000FC3F00FE3F80FE3F
807E1F807E1F803C0F00110F7D9F17>I<FEFE0606060606060606060606060606060606
060606060606060606060606060606060606060606060606FEFE072D7FA10D>I<07F000
1FFC003E1E003E0F003E07801C078000078000078003FF800FFF803F07807C07807C0780
F80798F80798F80798F80F987C1FF83FF3F00FC1E015147F9317>97
D<0F0000FF0000FF00000F00000F00000F00000F00000F00000F00000F00000F00000F00
000F1F800F7FC00FE1E00F80F00F00780F00780F007C0F007C0F007C0F007C0F007C0F00
7C0F007C0F00780F00780F00F80F80F00EC1E00E7FC00C1F001620809F19>I<03F00FFC
1E3E3C3E3C3E781C7800F800F800F800F800F800F80078007C003C033E031F0E0FFC03F0
10147E9314>I<0003C0003FC0003FC00003C00003C00003C00003C00003C00003C00003
C00003C00003C003E3C00FFBC01E0FC03C07C07C03C07803C07803C0F803C0F803C0F803
C0F803C0F803C0F803C07803C07803C07803C03C07C01E1FC00FFBFC03E3FC16207E9F19
>I<03F0000FFC001E1E003C0F003C0F00780F00780780F80780FFFF80FFFF80F80000F8
0000F800007800007C00003C01801E03800F070007FE0001F80011147F9314>I<003E00
00FF0003CF80078F80078F800F07000F00000F00000F00000F00000F00000F0000FFF000
FFF0000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F0000
0F00000F00000F00000F00000F0000FFF000FFF0001120809F0E>I<0000E003F1F00FFF
701E1E703C0F607C0F807C0F807C0F807C0F807C0F803C0F001E1E001FFC0033F0003000
003000003800003FFE003FFF801FFFC03FFFE07801E07000F0E00070E00070E000707000
E07801E03E07C00FFF0003FC00141F7F9417>I<0F0000FF0000FF00000F00000F00000F
00000F00000F00000F00000F00000F00000F00000F1F800F7FC00FE1E00FC0F00F80F00F
00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F
00F0FFF3FFFFF3FF1820809F19>I<1E003F003F003F003F001E00000000000000000000
000F007F007F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F
00FFE0FFE00B1F809E0D>I<00F001F801F801F801F800F0000000000000000000000078
07F807F800F8007800780078007800780078007800780078007800780078007800780078
00780078007800787078F878F8F0F9E07FC03F000D28839E0E>I<0F0000FF0000FF0000
0F00000F00000F00000F00000F00000F00000F00000F00000F00000F0FF80F0FF80F07C0
0F07000F06000F0C000F18000F38000F78000FFC000FBC000F1E000F1F000F0F000F0F80
0F07C00F03C00F03E0FFE7FCFFE7FC1620809F18>I<0F00FF00FF000F000F000F000F00
0F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F00
0F000F000F000F000F00FFF0FFF00C20809F0D>I<0F0FC07E00FF3FE1FF00FFE0F70780
0FC07E03C00F807C03C00F007803C00F007803C00F007803C00F007803C00F007803C00F
007803C00F007803C00F007803C00F007803C00F007803C00F007803C00F007803C00F00
7803C0FFF3FF9FFCFFF3FF9FFC2614809327>I<0F1F80FF7FC0FFE1E00FC0F00F80F00F
00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F
00F0FFF3FFFFF3FF1814809319>I<01F80007FE001F0F803C03C03C03C07801E07801E0
F801F0F801F0F801F0F801F0F801F0F801F07801E07801E03C03C03C03C01F0F8007FE00
01F80014147F9317>I<0F1F80FF7FC0FFE1E00F81F00F00F80F00F80F007C0F007C0F00
7C0F007C0F007C0F007C0F007C0F00780F00F80F00F80F81F00FC3E00F7FC00F1F000F00
000F00000F00000F00000F00000F00000F0000FFF000FFF000161D809319>I<03E0C00F
F9C01F1DC03E07C07C07C07C03C07803C0F803C0F803C0F803C0F803C0F803C0F803C078
03C07C03C07C07C03E07C01E1FC00FFBC003E3C00003C00003C00003C00003C00003C000
03C00003C0003FFC003FFC161D7E9318>I<0F7CFFFEFFDF0F9F0F9F0F0E0F000F000F00
0F000F000F000F000F000F000F000F000F00FFF0FFF01014809312>I<0F903FF07070E0
30E030E030F000FF007FC03FE01FF003F80078C038C038E038E030F070DFE08F800D147E
9312>I<06000600060006000E000E001E003E00FFF8FFF81E001E001E001E001E001E00
1E001E001E001E001E181E181E181E181E180F3007E003C00D1C7F9B12>I<0F00F0FF0F
F0FF0FF00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00
F00F00F00F01F00F01F00707F003FEFF01F8FF1814809319>I<FFC7F8FFC7F81F01E00F
01C00F01800F018007830007830007830003C60003C60003EE0001EC0001EC0001FC0000
F80000F80000700000700000700015147F9318>I<FF9FF3FCFF9FF3FC1E03C0F01E03C0
E00F03C0C00F07C0C00F07E0C00787E180078CE180078CF18003CCF30003D8730003D87B
0003F87F0001F87E0001F03E0001F03E0000F03C0000E01C0000E01C001E147F9321>I<
7FE7FC7FE7FC0783E007838003C30001E60001EE0000FC00007800007800003C00007E00
00FE0001CF000187800387800703C00F03E0FFCFFEFFCFFE1714809318>I<FFC7F8FFC7
F81F01E00F01C00F01800F018007830007830007830003C60003C60003EE0001EC0001EC
0001FC0000F80000F80000700000700000700000600000600000600070C000F8C000C180
00E380007F00003C0000151D7F9318>I<3FFF3FFF381E303E703C607860F861F001E003
E007C007830F831F031E073C067C06781EFFFEFFFE10147F9314>I<FFFFFCFFFFFC1602
808C17>I<7038F87CFCFCFCFCF87C70380E067C9E17>127 D E /Fy
51 122 df<00001FFC00000001FFFF00000007FFFF8000001FF80FC000007FC00FE00000
FF801FF00001FF003FF00001FF003FF00003FE003FF00003FE003FF00003FE003FF00003
FE001FE00003FE000FC00003FE0003000003FE0000000003FE0000000003FE0000000003
FE00000000FFFFFFFFF000FFFFFFFFF000FFFFFFFFF000FFFFFFFFF00003FE003FF00003
FE001FF00003FE001FF00003FE001FF00003FE001FF00003FE001FF00003FE001FF00003
FE001FF00003FE001FF00003FE001FF00003FE001FF00003FE001FF00003FE001FF00003
FE001FF00003FE001FF00003FE001FF00003FE001FF00003FE001FF00003FE001FF00003
FE001FF00003FE001FF00003FE001FF00003FE001FF00003FE001FF0007FFFE1FFFF807F
FFE1FFFF807FFFE1FFFF807FFFE1FFFF8029327FB12D>12 D<1F003F807FC0FFE0FFE0FF
F0FFF0FFF07FF03FF01F700070007000F000E000E001E001C003C007800F001F003E003C
0018000C197BB116>39 D<FFFFF8FFFFF8FFFFF8FFFFF8FFFFF8FFFFF8FFFFF8FFFFF815
087F931B>45 D<000FF80000007FFF000001FFFFC00003FC1FE00007F007F0000FE003F8
001FC001FC001FC001FC003FC001FE003F8000FE003F8000FE007F8000FF007F8000FF00
7F8000FF007F8000FF00FF8000FF80FF8000FF80FF8000FF80FF8000FF80FF8000FF80FF
8000FF80FF8000FF80FF8000FF80FF8000FF80FF8000FF80FF8000FF80FF8000FF80FF80
00FF80FF8000FF80FF8000FF80FF8000FF807F8000FF007F8000FF007F8000FF007F8000
FF007F8000FF003FC001FE003FC001FE001FC001FC001FE003FC000FE003F80007F007F0
0003FC1FE00001FFFFC000007FFF0000000FF80000212E7DAD28>48
D<0000E0000003E000000FE000007FE0001FFFE000FFFFE000FFFFE000FFBFE000E03FE0
00003FE000003FE000003FE000003FE000003FE000003FE000003FE000003FE000003FE0
00003FE000003FE000003FE000003FE000003FE000003FE000003FE000003FE000003FE0
00003FE000003FE000003FE000003FE000003FE000003FE000003FE000003FE000003FE0
00003FE000003FE000003FE000003FE000003FE000003FE0007FFFFFE07FFFFFE07FFFFF
E07FFFFFE01B2E7AAD28>I<003FE00001FFFC0007FFFF801FFFFFC03F81FFE07E007FF0
7F003FF8FF801FFCFFC00FFCFFC00FFEFFC007FEFFC007FEFFC007FE7F8007FE3F0007FE
000007FE000007FE00000FFC00000FFC00000FF800001FF000003FF000003FE000007FC0
0000FF800000FE000001FC000003F8000007E000000FC000001F801E003F001E007E001E
00FC003E01F0003C01E0003C03C0007C07FFFFFC0FFFFFFC1FFFFFFC3FFFFFFC7FFFFFFC
FFFFFFF8FFFFFFF8FFFFFFF8FFFFFFF81F2E7CAD28>I<000FF80000007FFF000001FFFF
C00003FFFFE00007F03FF0000FE01FF8001FF00FF8001FF00FFC001FF00FFC001FF80FFC
001FF00FFC001FF00FFC000FE00FFC0003C00FFC0000001FF80000001FF80000001FF000
00003FE00000007FC0000000FF8000003FFE0000003FF80000003FFF800000003FE00000
000FF80000000FFC00000007FE00000007FF00000003FF00000003FF80000003FF800C00
03FF803F0003FF807F8003FF80FFC003FF80FFC003FF80FFC003FF00FFC007FF00FFC007
FF00FF8007FE007F000FFC003FC03FF8001FFFFFF00007FFFFC00001FFFF0000003FF800
00212E7DAD28>I<000001F000000003F000000003F000000007F00000000FF00000001F
F00000001FF00000003FF00000007FF0000000FFF0000001FFF0000001EFF0000003CFF0
0000078FF000000F8FF000001F0FF000001E0FF000003C0FF00000780FF00000F80FF000
01F00FF00001E00FF00003C00FF00007800FF0000F800FF0000F000FF0001E000FF0003C
000FF0007C000FF000F8000FF000FFFFFFFFE0FFFFFFFFE0FFFFFFFFE0FFFFFFFFE00000
1FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001F
F000001FFFFFE0001FFFFFE0001FFFFFE0001FFFFFE0232E7EAD28>I<1C0000301FC007
F01FFFFFF01FFFFFE01FFFFFC01FFFFF801FFFFF001FFFFE001FFFF8001FFFE0001FFF00
001E0000001E0000001E0000001E0000001E0000001E0000001E0000001E0FF0001E7FFE
001FFFFF801FE03FE01F801FF01F000FF81E000FF8000007FC000007FC000007FC000007
FE000007FE0C0007FE7F0007FE7F8007FEFF8007FEFF8007FEFF8007FEFF8007FCFF800F
FC7F000FF87C001FF83E001FF03FC07FE01FFFFFC007FFFF0001FFFC00007FC0001F2E7C
AD28>I<0000FF80000007FFE000001FFFF000007FFFF80000FF80FC0003FE00FE0007FC
01FE0007F803FE000FF003FE001FF003FE001FE003FE003FE001FC003FE000F8007FE000
00007FC00000007FC00000007FC0400000FFC3FF0000FFCFFFC000FFDFFFF000FFFC07F8
00FFF803FC00FFF003FE00FFF001FE00FFE001FF00FFE001FF00FFE001FF80FFC001FF80
FFC001FF80FFC001FF80FFC001FF807FC001FF807FC001FF807FC001FF807FC001FF803F
C001FF803FC001FF003FE001FF001FE003FE000FF003FE000FF807FC0007FC0FF80003FF
FFF00000FFFFC000003FFF0000000FFC0000212E7DAD28>I<3C000000003F000000003F
FFFFFFC03FFFFFFFC03FFFFFFFC03FFFFFFFC07FFFFFFF807FFFFFFF007FFFFFFE007FFF
FFFE007FFFFFFC007C0000F800780001F000780003E000F80003C000F00007C000F0000F
8000F0001F000000003E000000007C000000007C00000000F800000001F800000001F000
000003F000000003F000000007E000000007E00000000FE00000000FE00000001FE00000
001FC00000001FC00000003FC00000003FC00000003FC00000003FC00000007FC0000000
7FC00000007FC00000007FC00000007FC00000007FC00000007FC00000007FC00000007F
C00000003F800000000E00000022307CAF28>I<000FF80000003FFF000000FFFFC00003
FFFFE00003F80FF00007E003F8000FC001F8000F8001FC001F8000FC001F8000FC001FC0
00FC001FC000FC001FE000FC001FF801FC001FFE01F8001FFF83F8000FFFC7F0000FFFFF
E00007FFFFC00007FFFF000003FFFF800001FFFFE000007FFFF00001FFFFF80007FFFFFC
000FE3FFFE001FC0FFFF003F803FFF007F801FFF807F0007FF80FF0001FF80FE0000FF80
FE00007F80FE00007F80FE00003F80FE00003F80FF00003F00FF00003F007F80007F007F
8000FE003FC001FC001FF807F8000FFFFFF00003FFFFE00000FFFF8000001FF80000212E
7DAD28>I<000FF80000007FFF000001FFFF800007FFFFE0000FF81FF0001FF007F8003F
E007FC003FE003FC007FC003FE007FC001FE00FFC001FE00FFC001FF00FFC001FF00FFC0
01FF00FFC001FF00FFC001FF80FFC001FF80FFC001FF80FFC001FF80FFC003FF807FC003
FF807FC003FF803FC007FF803FE007FF801FE00FFF800FF01FFF8007FFFDFF8001FFF9FF
80007FE1FF80000101FF00000001FF00000001FF00000001FF000F8003FE001FC003FE00
3FE003FC003FE003FC003FE007F8003FE00FF8003FC00FF0001F803FE0001F80FFC0000F
FFFF000007FFFE000001FFF80000007FC00000212E7DAD28>I<00000078000000000000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>65 D<FFFFFFFFE00000FFFFFFFFFE0000FFFFFFFFFF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>I<FFFFFFFFFFF0FFFFFFFFFFF0FFFFFFFFFFF0FFFFFFFFFFF000FFC0007F
F000FFC0000FF800FFC00003F800FFC00001F800FFC00001F800FFC00000F800FFC00000
7800FFC000007800FFC000007800FFC000007800FFC00F003C00FFC00F003C00FFC00F00
3C00FFC00F003C00FFC00F000000FFC01F000000FFC03F000000FFC07F000000FFFFFF00
0000FFFFFF000000FFFFFF000000FFFFFF000000FFC07F000000FFC03F000000FFC01F00
0000FFC00F000F00FFC00F000F00FFC00F000F00FFC00F001E00FFC00F001E00FFC00000
1E00FFC000001E00FFC000003E00FFC000003E00FFC000003E00FFC000007C00FFC00000
FC00FFC00000FC00FFC00003FC00FFC00007FC00FFC0003FFCFFFFFFFFFFFCFFFFFFFFFF
F8FFFFFFFFFFF8FFFFFFFFFFF830317EB035>69 D<000007FF00070000007FFFF00F0000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>71 D<FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC000FFC00000FFC000
00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
00FFC00000FFC00000FFC000FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC01A317EB01E>73
D<FFFFFFF00000FFFFFFF00000FFFFFFF00000FFFFFFF0000000FFC000000000FFC00000
0000FFC000000000FFC000000000FFC000000000FFC000000000FFC000000000FFC00000
0000FFC000000000FFC000000000FFC000000000FFC000000000FFC000000000FFC00000
0000FFC000000000FFC000000000FFC000000000FFC000000000FFC000000000FFC00000
0000FFC000000000FFC000000000FFC000000000FFC000000000FFC000000000FFC00003
C000FFC00003C000FFC00003C000FFC00003C000FFC00007C000FFC000078000FFC00007
8000FFC000078000FFC0000F8000FFC0000F8000FFC0001F8000FFC0003F8000FFC0003F
8000FFC000FF8000FFC001FF8000FFC00FFF00FFFFFFFFFF00FFFFFFFFFF00FFFFFFFFFF
00FFFFFFFFFF002A317EB030>76 D<FFFFE000000007FFFFFFFFF00000000FFFFFFFFFF0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>I<FFFFE00003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>I<0000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>I<FFFFFFFFE000FFFFFFFFFC00
FFFFFFFFFF80FFFFFFFFFFC000FFC000FFF000FFC0003FF800FFC0001FF800FFC0000FFC
00FFC0000FFE00FFC00007FE00FFC00007FE00FFC00007FF00FFC00007FF00FFC00007FF
00FFC00007FF00FFC00007FF00FFC00007FF00FFC00007FE00FFC00007FE00FFC0000FFE
00FFC0000FFC00FFC0001FF800FFC0003FF000FFC001FFE000FFFFFFFFC000FFFFFFFF00
00FFFFFFF80000FFC000000000FFC000000000FFC000000000FFC000000000FFC0000000
00FFC000000000FFC000000000FFC000000000FFC000000000FFC000000000FFC0000000
00FFC000000000FFC000000000FFC000000000FFC000000000FFC000000000FFC0000000
00FFC0000000FFFFFFC00000FFFFFFC00000FFFFFFC00000FFFFFFC0000030317EB037>
I<FFFFFFFF00000000FFFFFFFFF8000000FFFFFFFFFE000000FFFFFFFFFF80000000FFC0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>82 D<001FF8038000FFFF078003FFFFCF8007FFFFFF800FF00FFF801FC001FF803F
80007F807F00003F807F00001F807E00001F80FE00000F80FE00000F80FE00000780FF00
000780FF80000780FFC0000000FFE0000000FFFE0000007FFFE000007FFFFF00003FFFFF
E0003FFFFFF8001FFFFFFC000FFFFFFE0007FFFFFF0001FFFFFF80007FFFFFC0000FFFFF
E000007FFFE0000007FFE00000007FF00000003FF00000001FF00000000FF0F000000FF0
F0000007F0F0000007F0F0000007F0F8000007F0F8000007E0FC00000FE0FE00000FC0FF
00001FC0FFC0003F80FFFC00FF00FFFFFFFE00F9FFFFFC00F03FFFF000E003FF80002431
7CB02D>I<7FFFFFFFFFFF007FFFFFFFFFFF007FFFFFFFFFFF007FFFFFFFFFFF007FE00F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>I<FFFFFFC007FFFF80FFFFFFC0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>I<FFFFFE0FFFFFF007FF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>87 D<FFFFFF8000FFFFC0FFFFFF8000FFFF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>89 D<007FF0000003FFFE00000F
FFFF80001FE03FE0001FF01FF0001FF00FF8001FF00FF8001FF007FC000FE007FC0007C0
07FC00010007FC00000007FC00000007FC000003FFFC00003FFFFC0001FFE7FC0007FC07
FC001FF007FC003FE007FC007FC007FC007F8007FC00FF8007FC00FF0007FC00FF0007FC
00FF0007FC00FF000FFC00FF801FFC007FC01FFE003FE07BFFF01FFFF3FFF007FFC1FFF0
00FF007FF024207E9F27>97 D<01FC000000FFFC000000FFFC000000FFFC000000FFFC00
00000FFC00000007FC00000007FC00000007FC00000007FC00000007FC00000007FC0000
0007FC00000007FC00000007FC00000007FC00000007FC00000007FC00000007FC1FE000
07FCFFFC0007FFFFFF0007FFE07FC007FF801FE007FE000FF007FC000FF807FC0007F807
FC0007FC07FC0003FC07FC0003FC07FC0003FE07FC0003FE07FC0003FE07FC0003FE07FC
0003FE07FC0003FE07FC0003FE07FC0003FE07FC0003FE07FC0003FE07FC0003FC07FC00
07FC07FC0007F807FC0007F807FE000FF007FE001FF007FF803FE007F7C07F8007E3FFFF
0007C0FFFC0007801FE00027327EB12D>I<000FFE00007FFFC001FFFFF003FC07F80FF0
0FF81FE00FF81FE00FF83FC00FF87FC007F07FC003E07F800080FF800000FF800000FF80
0000FF800000FF800000FF800000FF800000FF800000FF800000FF8000007FC000007FC0
00007FC0003C3FE0003C1FE0007C1FF000F80FF801F003FE07E001FFFFC0007FFF00000F
F8001E207D9F24>I<0000001FC000000FFFC000000FFFC000000FFFC000000FFFC00000
00FFC00000007FC00000007FC00000007FC00000007FC00000007FC00000007FC0000000
7FC00000007FC00000007FC00000007FC00000007FC00000007FC0000FF87FC0007FFE7F
C001FFFFFFC003FC07FFC00FF801FFC01FF000FFC01FE0007FC03FC0007FC07FC0007FC0
7FC0007FC07F80007FC0FF80007FC0FF80007FC0FF80007FC0FF80007FC0FF80007FC0FF
80007FC0FF80007FC0FF80007FC0FF80007FC0FF80007FC07F80007FC07F80007FC07FC0
007FC03FC0007FC01FE000FFC01FE001FFC00FF003FFE007FC0FFFFE01FFFF7FFE007FFC
7FFE000FF07FFE27327DB12D>I<000FFC00007FFF8001FFFFE003FC0FF00FF003F80FE0
01FC1FE001FC3FC000FE3FC000FE7FC000FE7F80007FFF80007FFF80007FFFFFFFFFFFFF
FFFFFFFFFFFFFF800000FF800000FF800000FF8000007F8000007FC000007FC000003FC0
000F3FE0000F1FE0001F0FF0003E07FC007C03FF01F800FFFFF0003FFFC00007FE002020
7E9F25>I<0000FF000007FFC0001FFFF0007FC7F000FF8FF801FF0FF801FF0FF803FE0F
F803FE0FF803FE07F003FE01C003FE000003FE000003FE000003FE000003FE000003FE00
0003FE0000FFFFFC00FFFFFC00FFFFFC00FFFFFC0003FE000003FE000003FE000003FE00
0003FE000003FE000003FE000003FE000003FE000003FE000003FE000003FE000003FE00
0003FE000003FE000003FE000003FE000003FE000003FE000003FE000003FE000003FE00
0003FE000003FE00007FFFF8007FFFF8007FFFF8007FFFF8001D327EB119>I<001FF00F
C000FFFE3FE003FFFFFFF007F83FF7F00FE00FE7F01FE00FF3F01FC007F1E03FC007F800
3FC007F8003FC007F8003FC007F8003FC007F8003FC007F8003FC007F8001FC007F0001F
E00FF0000FE00FE00007F83FC00007FFFF80000EFFFE00000E1FF000001E000000001E00
0000001F000000001F800000001FFFFF80001FFFFFF0000FFFFFFC000FFFFFFF0007FFFF
FF8007FFFFFF8007FFFFFFC01FFFFFFFC03F8000FFE07F00001FE0FE00001FE0FE00000F
E0FE00000FE0FE00000FE0FF00001FE07F00001FC07F80003FC03FC0007F801FF803FF00
07FFFFFC0001FFFFF000001FFF0000242F7E9F28>I<01FC000000FFFC000000FFFC0000
00FFFC000000FFFC0000000FFC00000007FC00000007FC00000007FC00000007FC000000
07FC00000007FC00000007FC00000007FC00000007FC00000007FC00000007FC00000007
FC00000007FC07F80007FC1FFE0007FC7FFF8007FCF07FC007FDE07FC007FF803FE007FF
003FE007FF003FE007FE003FE007FE003FE007FC003FE007FC003FE007FC003FE007FC00
3FE007FC003FE007FC003FE007FC003FE007FC003FE007FC003FE007FC003FE007FC003F
E007FC003FE007FC003FE007FC003FE007FC003FE007FC003FE007FC003FE007FC003FE0
FFFFE3FFFFFFFFE3FFFFFFFFE3FFFFFFFFE3FFFF28327DB12D>I<03E00007F0000FF800
1FFC001FFC001FFC001FFC001FFC000FF80007F00003E000000000000000000000000000
00000000000000000000000001FC00FFFC00FFFC00FFFC00FFFC000FFC0007FC0007FC00
07FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC00
07FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC00FFFFC0FFFFC0FFFFC0FFFFC0
12337EB216>I<01FC000000FFFC000000FFFC000000FFFC000000FFFC0000000FFC0000
0007FC00000007FC00000007FC00000007FC00000007FC00000007FC00000007FC000000
07FC00000007FC00000007FC00000007FC00000007FC00000007FC03FFF807FC03FFF807
FC03FFF807FC03FFF807FC00FE0007FC01F80007FC03F00007FC07E00007FC0FC00007FC
1F800007FC7F000007FCFE000007FDFE000007FFFF000007FFFF000007FFFF800007FFFF
C00007FFFFE00007FC7FE00007F83FF00007F81FF80007F81FF80007F80FFC0007F807FE
0007F807FF0007F803FF0007F801FF8007F800FFC0FFFFC3FFFEFFFFC3FFFEFFFFC3FFFE
FFFFC3FFFE27327EB12B>107 D<01FC00FFFC00FFFC00FFFC00FFFC000FFC0007FC0007
FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007
FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007
FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007FC0007
FC0007FC0007FC00FFFFE0FFFFE0FFFFE0FFFFE013327EB116>I<01F803FC000FF000FF
F81FFF007FFC00FFF87FFFC1FFFF00FFF8F87FC3E1FF00FFF9E03FE780FF800FFBC01FEF
007F8007FB801FFE007FC007FF001FFC007FC007FE001FF8007FC007FE001FF8007FC007
FC001FF0007FC007FC001FF0007FC007FC001FF0007FC007FC001FF0007FC007FC001FF0
007FC007FC001FF0007FC007FC001FF0007FC007FC001FF0007FC007FC001FF0007FC007
FC001FF0007FC007FC001FF0007FC007FC001FF0007FC007FC001FF0007FC007FC001FF0
007FC007FC001FF0007FC007FC001FF0007FC007FC001FF0007FC007FC001FF0007FC0FF
FFE3FFFF8FFFFEFFFFE3FFFF8FFFFEFFFFE3FFFF8FFFFEFFFFE3FFFF8FFFFE3F207D9F44
>I<01F807F800FFF81FFE00FFF87FFF80FFF8F07FC0FFF9E07FC00FFB803FE007FB003F
E007FF003FE007FE003FE007FE003FE007FC003FE007FC003FE007FC003FE007FC003FE0
07FC003FE007FC003FE007FC003FE007FC003FE007FC003FE007FC003FE007FC003FE007
FC003FE007FC003FE007FC003FE007FC003FE007FC003FE007FC003FE007FC003FE0FFFF
E3FFFFFFFFE3FFFFFFFFE3FFFFFFFFE3FFFF28207D9F2D>I<0007FC0000007FFFC00001
FFFFF00003FC07F80007F001FC000FE000FE001FC0007F003FC0007F803FC0007F807F80
003FC07F80003FC07F80003FC0FF80003FE0FF80003FE0FF80003FE0FF80003FE0FF8000
3FE0FF80003FE0FF80003FE0FF80003FE07F80003FC07F80003FC07F80003FC03FC0007F
803FC0007F801FC0007F000FE000FE0007F001FC0003FC07F80001FFFFF000007FFFC000
0007FC000023207E9F28>I<01FC1FE000FFFCFFFC00FFFFFFFF00FFFFE07FC0FFFF803F
E007FE001FF007FC000FF807FC000FF807FC0007FC07FC0007FC07FC0007FC07FC0003FE
07FC0003FE07FC0003FE07FC0003FE07FC0003FE07FC0003FE07FC0003FE07FC0003FE07
FC0003FE07FC0003FE07FC0007FC07FC0007FC07FC0007F807FC000FF807FE001FF007FE
001FF007FF803FE007FFC0FF8007FFFFFF0007FCFFFC0007FC1FE00007FC00000007FC00
000007FC00000007FC00000007FC00000007FC00000007FC00000007FC00000007FC0000
0007FC000000FFFFE00000FFFFE00000FFFFE00000FFFFE00000272E7E9F2D>I<01F87E
00FFF8FF80FFF9FFE0FFFBCFE0FFFF9FF00FFF1FF007FE1FF007FE1FF007FE0FE007FE07
C007FC010007FC000007FC000007FC000007FC000007FC000007FC000007FC000007FC00
0007FC000007FC000007FC000007FC000007FC000007FC000007FC000007FC000007FC00
00FFFFF000FFFFF000FFFFF000FFFFF0001C207E9F21>114 D<00FF8E0007FFFE001FFF
FE003F00FE007E007E007C003E00FC001E00FC001E00FE001E00FF000000FFC00000FFFF
0000FFFFC0007FFFF0003FFFFC003FFFFE000FFFFF0003FFFF0000FFFF800007FF800000
FF80F0003F80F0003F80F8001F80F8001F80FC001F00FC003F00FE003F00FF80FE00FFFF
FC00F3FFF000E07F800019207D9F20>I<001E0000001E0000001E0000001E0000001E00
00003E0000003E0000003E0000007E0000007E000000FE000001FE000003FE000007FE00
001FFFFE00FFFFFE00FFFFFE00FFFFFE0003FE000003FE000003FE000003FE000003FE00
0003FE000003FE000003FE000003FE000003FE000003FE000003FE000003FE000003FE00
0003FE000003FE078003FE078003FE078003FE078003FE078003FE078003FE078003FE0F
8001FF0F0001FF9F0000FFFE00003FFC000007F000192E7FAD1F>I<01FC000FE0FFFC07
FFE0FFFC07FFE0FFFC07FFE0FFFC07FFE00FFC007FE007FC003FE007FC003FE007FC003F
E007FC003FE007FC003FE007FC003FE007FC003FE007FC003FE007FC003FE007FC003FE0
07FC003FE007FC003FE007FC003FE007FC003FE007FC003FE007FC003FE007FC003FE007
FC007FE007FC007FE007FC007FE007FC00FFE003FC01FFF003FE03BFFF01FFFF3FFF007F
FE3FFF000FF83FFF28207D9F2D>I<FFFF0FFFF0FFF8FFFF0FFFF0FFF8FFFF0FFFF0FFF8
FFFF0FFFF0FFF80FFC00FF000F8007FC00FF000F0007FC00FF800F0007FE00FF801F0003
FE01FFC01E0003FE01FFC01E0001FF01FFC03C0001FF03FFE03C0001FF83DFE07C0000FF
83DFE0780000FF878FF0780000FFC78FF0F800007FCF8FF8F000007FCF07F8F000003FEF
07F9E000003FFF07FDE000003FFE03FFE000001FFE03FFC000001FFC01FFC000001FFC01
FFC000000FFC01FF8000000FF800FF80000007F800FF00000007F800FF00000007F0007F
00000003F0007E00000003E0003E00000001E0003C000035207E9F3A>119
D<FFFFC1FFFEFFFFC1FFFEFFFFC1FFFEFFFFC1FFFE01FF003E0001FF807E0000FFC07C00
007FE0F800003FE1F000003FF3E000001FFFC000000FFFC0000007FF80000007FF000000
03FF00000001FF80000000FF80000000FFC0000001FFE0000003FFF0000007DFF000000F
8FF800001F8FFC00001F07FE00003E03FF00007C01FF0000F801FF8001F800FFC0FFFE03
FFFFFFFE03FFFFFFFE03FFFFFFFE03FFFF28207F9F2B>I<FFFFC07FFCFFFFC07FFCFFFF
C07FFCFFFFC07FFC07FC00078007FE000F8003FE000F0003FF000F0001FF001E0001FF00
1E0001FF803E0000FF803C0000FFC07C00007FC07800007FE0F800003FE0F000003FF0F0
00003FF1F000001FF1E000001FFBE000000FFBC000000FFFC0000007FF80000007FF8000
0003FF00000003FF00000003FF00000001FE00000001FE00000000FC00000000FC000000
0078000000007800000000F800000000F000000001F000003C01E000007E03E00000FF03
C00000FF07C00000FF0F800000FF1F0000007A3E0000007FFC0000003FF80000000FC000
0000262E7E9F2B>I E /Fz 56 122 df<1C0E003E1F007F3F807F3F807F3F803B1D8006
03000603000C06000C0600180C00301800603000C06000804000110F789F17>34
D<1C3E7F7F7F3B06060C0C183060C080080F769F0E>39 D<000180000300000600000C00
001C0000380000700000600000E00001C00001C0000380000380000700000700000F0000
0E00001E00001E00001C00003C00003C0000380000380000780000780000700000700000
700000700000F00000F00000F00000F00000F00000F00000700000700000700000700000
7000003000003800001800001C00000C0000112E7AA113>I<001800000C00000E000006
000007000007000003000003800003800003800003800003800003800003800003800003
80000380000780000780000780000700000700000F00000F00000E00000E00001E00001C
00001C00003C0000380000380000700000700000E00000E00001C00001C0000380000700
000600000C00001C0000380000600000C00000112E80A113>I<00380000380000700000
70001870803C63C03E67C01FFF0007FC0003F00003F0000FF8003FFE00F99F00F18F0043
8600038000038000070000070000121478A117>I<0000C0000000C0000000C0000001C0
000001800000018000000180000003800000030000000300000003000000070000000600
00FFFFFFF0FFFFFFF0000E0000000C0000000C0000000C0000001C000000180000001800
000018000000380000003000000030000000300000007000001C1C7A9823>I<0E1E3F3F
3E1E060C0C1C183060E040080F7D850E>I<7FF07FF0FFE07FE00C047D8B10>I<387CFCFC
F87006067B850E>I<000F80003FE000F0F001C0700380700380380700780F00780F0078
0E00781E00781E00703C00F03C00F03C00F03C00F07801E07801E07801E07801C07003C0
F003C0F00380F00780F00700700F00700E00701C003878001FF0000FC000151F7C9D17>
48 D<000100030007000F001E00FE07DE071E003C003C003C003C007800780078007800
F000F000F000F001E001E001E001E003C003C003C003C0FFF8FFF8101E7B9D17>I<000F
80003FC00070E000C0700180780330380638380618780C30780C30780C60780CE0780FC0
F00701E00001C0000380000700001E0000380000E00001C0000700000E00300C00301800
603000E07F81C07FFFC061FF80C07F00C03C00151F7D9D17>I<001F80007FE000E0E001
80700300780660780670780630780660F007C0F00380E00001E00001C000078000FE0000
FE00000700000700000780000780000780300780780780780780F00F00C00F00601E0060
3C007078003FE0001F8000151F7C9D17>I<0007C0001FE00038600060E000C1E001C1E0
0380C00700000F00000E00001E10001EFC001DFE003F07003E07003C07807C0780780780
780780780780700F00700F00F00F00F00E00F01E00701C0070380070380038F0001FC000
0F8000131F7B9D17>54 D<001F00007F8000E1C001C1C00380E00700E00F00E00F01E01E
01E01E01E01E01E01E01C01C03C03C03C03C07C01C07C01C0F801C1F800F778007E70000
0F00000E00001E00001C00603C00F03800F07000E0E000C3C0007F80003E0000131F7B9D
17>57 D<07000F801F801F801F000E000000000000000000000000000000000038007C00
FC00FC00F800700009147B930E>I<000007000000070000000F0000000F0000001F0000
003F0000003F0000006F0000006F000000CF000000CF0000018F0000038F0000030F0000
060F0000060F00000C0F80000C07800018078000180780003FFF80007FFF800060078000
C0078000C00780018007800180078003000780070007800F0007807FC07FF8FFC07FF81D
207E9F22>65 D<0000FE020007FF06001F818C003E00DC0078007C00F0007C01E0003803
C00038078000380F8000381F0000301F0000303E0000303E0000007C0000007C0000007C
0000007C000000F8000000F8000000F8000000F80000C0F8000180780001807800030078
0003003C0006003C000C001E0018000F00300007C0E00003FF800000FE00001F217A9F21
>67 D<01FFFF8001FFFFE0001E01F0001E0078001E003C003C003C003C001E003C001E00
3C001E0078001E0078001E0078001E0078001E00F0003E00F0003E00F0003E00F0003E01
E0007C01E0007C01E0007C01E0007803C000F003C000F003C001E003C003C0078007C007
800F8007801E0007807C00FFFFF000FFFFC0001F1F7D9E22>I<01FFFFFE01FFFFFC001E
003C001E001C001E001C003C000C003C000C003C000C003C001800780C1800780C180078
0C0000781C0000F0380000FFF80000FFF80000F0380001E0300001E0300001E0303001E0
306003C0006003C0006003C000C003C001C007800180078003800780070007801F00FFFF
FF00FFFFFE001F1F7D9E1F>I<01FFFFFC01FFFFF8001E0078001E0038001E0038003C00
18003C0018003C0018003C003000780C3000780C3000780C0000781C0000F0380000FFF8
0000FFF80000F0380001E0300001E0300001E0300001E0300003C0000003C0000003C000
0003C0000007800000078000000780000007800000FFFC0000FFF800001E1F7D9E1E>I<
01FFF001FFF0001E00001E00001E00003C00003C00003C00003C00007800007800007800
00780000F00000F00000F00000F00001E00001E00001E00001E00003C00003C00003C000
03C000078000078000078000078000FFF800FFF800141F7D9E12>73
D<01FFF07FE001FFF07FE0001E001F00001E001C00001E003000003C006000003C01C000
003C038000003C07000000780C000000781800000078300000007870000000F0F0000000
F3F8000000F778000000FC78000001F83C000001F03C000001E03C000001E01E000003C0
1E000003C01E000003C00F000003C00F000007800F000007800780000780078000078007
C000FFF83FF800FFF03FF800231F7D9E23>75 D<01FFF80001FFF800001E0000001E0000
001E0000003C0000003C0000003C0000003C000000780000007800000078000000780000
00F0000000F0000000F0000000F0000001E0000001E0000001E0018001E0018003C00300
03C0030003C0060003C0060007800E0007801C0007803C000780FC00FFFFF800FFFFF800
191F7D9E1D>I<01FF0000FFC001FF0000FFC0001F0001F800001F0001F800001F000378
0000370003F00000370006F0000037000CF0000037000CF00000670019E00000638019E0
0000638031E00000638031E00000C38063C00000C380C3C00000C380C3C00000C38183C0
0001838187800001838307800001838307800001838607800003038C0F000003038C0F00
000303980F00000301D80F00000601F01E00000601F01E00000601E01E00000E01C01E00
00FFE1C3FFE000FFC183FFC0002A1F7D9E29>I<01FF00FFE001FF00FFE0001F001E0000
1F800C00001F800C0000378018000033C018000033C018000033C018000063C030000061
E030000061E030000061E0300000C0F0600000C0F0600000C0F0600000C0786000018078
C000018078C00001803CC00001803CC00003003D800003001F800003001F800003001F80
0006000F000006000F000006000F00000E000F0000FFE0060000FFC0060000231F7D9E22
>I<0001FC000007FF00001F07C0003C03E000F001E001E000F003C000F007C000780780
00780F0000781F0000781E0000783E0000783E0000787C0000F87C0000F87C0000F87C00
00F8F80001F0F80001F0F80001E0F80003E0F80003C0F80007C07800078078000F007C00
1F003C003E003E007C001E00F0000F83E00007FF800001FC00001D217A9F23>I<01FFFF
8001FFFFE0001E01F0001E0078001E0078003C007C003C007C003C007C003C007C007800
F8007800F8007800F0007801E000F003E000F00F8000FFFF0000FFF80001E0000001E000
0001E0000001E0000003C0000003C0000003C0000003C000000780000007800000078000
0007800000FFF80000FFF000001E1F7D9E1F>I<01FFFF0001FFFFC0001E03E0001E00F0
001E00F8003C00F8003C00F8003C00F8003C00F8007801F0007801F0007803E0007807C0
00F01F0000FFFE0000FFF00000F0380001E03C0001E01C0001E01C0001E01C0003C03C00
03C03C0003C03C0003C03C0007807C0007807C1807807C1807807E30FFF83E30FFF01FE0
000007C01D207D9E21>82 D<0007E040001FF8C0003C1D8000700F8000E0078001C00780
01800300038003000380030003800300038000000380000003C0000003F8000001FF8000
01FFE000007FF000001FF0000001F8000000780000003800000038000000380030003800
300038003000300070007000700060007800E0007801C000EE078000C7FE000081F80000
1A217D9F1A>I<0FFFFFF01FFFFFE01E0781E0180780E038078060300F0060300F006060
0F0060600F00C0C01E00C0C01E00C0001E0000001E0000003C0000003C0000003C000000
3C00000078000000780000007800000078000000F0000000F0000000F0000000F0000001
E0000001E0000001E0000003E00000FFFF0000FFFF00001C1F789E21>I<7FFC3FF87FFC
3FF80780078007800300078003000F0006000F0006000F0006000F0006001E000C001E00
0C001E000C001E000C003C0018003C0018003C0018003C00180078003000780030007800
300078003000F0006000F0006000F0006000F000C000F000800070018000700300003806
00003C1C00001FF8000007E000001D20779E22>I<FFF00FFCFFF00FFC0F0003C00F0001
800F0003000F0003000F0006000F000E000F000C000F0018000F80180007803000078030
00078060000780C0000780C0000781800007818000078300000787000007860000078C00
00078C000007D8000003D8000003F0000003F0000003E0000003C0000003C00000038000
00038000001E20779E22>I<00F18003FBC0070F800E0F801C07803C07803C0F00780F00
780F00780F00F01E00F01E00F01E00F01E30F03C60F03C60707C6070FCC03F9F800F0F00
14147C9317>97 D<03C0003FC0003F80000780000780000780000F00000F00000F00000F
00001E00001E00001E78001FFE003F8E003E07003C07003C078078078078078078078078
0780F00F00F00F00F00F00F01E00F01C00703C0070380038F0003FE0000F800011207C9F
15>I<007E0001FF000383800F07801E07801C07003C0200780000780000780000F00000
F00000F00000F00000F00000700200700700381E001FF80007E00011147C9315>I<0000
780007F80007F00000F00000F00000F00001E00001E00001E00001E00003C00003C000F3
C003FBC0070F800E0F801C07803C07803C0F00780F00780F00780F00F01E00F01E00F01E
00F01E30F03C60F03C60707C6070FCC03F9F800F0F0015207C9F17>I<007C0001FF0007
83000F01801E01803C01803C0300780E007FFC007FE000F00000F00000F00000F0000070
00007002007807003C1E001FF80007E00011147C9315>I<0000F80001FC0003BC0007BC
000718000F00000F00000F00000F00001F00001E00001E0003FFF003FFF0001E00003C00
003C00003C00003C00003C0000780000780000780000780000780000F00000F00000F000
00F00000F00001E00001E00001E00001E00001C00003C0003380007B8000F300007E0000
3C00001629829F0E>I<003E3000FF7801E3F00381F00780F00700F00F01E01E01E01E01
E01E01E03C03C03C03C03C03C03C03C03C07801C07801C0F800E3F800FFF0003CF00000F
00000F00001E00001E00301E00783C00F0F8007FF0003F8000151D7E9315>I<00F0000F
F0000FE00001E00001E00001E00003C00003C00003C00003C000078000078000079F0007
FF800FE3C00F81C00F01E00F01E01E03C01E03C01E03C01E03C03C07803C07803C07803C
0F0C780F18780E18781E30780E70F00FE060078016207E9F17>I<006000F000F000E000
000000000000000000000000000F001F8033C033C063C063C0C780078007800F000F001E
001E001E303C603C603CC03CC01F800F000C1F7D9E0E>I<00F0000FF0000FE00001E000
01E00001E00003C00003C00003C00003C0000780000780000781E00783F00F0E300F1870
0F10F00F20F01E40E01F80001F80001FF0003CF8003C3C003C3C003C1E30783C60783C60
783C60781CC0F01F80600F0014207E9F15>107 D<01E01FE01FC003C003C003C0078007
80078007800F000F000F000F001E001E001E001E003C003C003C003C0078007800780078
C0F180F180F180F3007E003C000B207D9F0C>I<0F07C0F8001F9FE3FC0033F8F71E0063
E07C0E0063C0780F0063C0780F00C780F01E000780F01E000780F01E000780F01E000F01
E03C000F01E03C000F01E03C000F01E078601E03C078C01E03C070C01E03C0F1801E03C0
73803C07807F001803003C0023147D9325>I<0F07C01F9FE033F8F063E07063C07863C0
78C780F00780F00780F00780F00F01E00F01E00F01E00F03C31E03C61E03861E078C1E03
9C3C03F81801E018147D931A>I<007C0001FF000383800F01C01E01C01C01E03C01E078
01E07801E07801E0F003C0F003C0F003C0F00780F00700700F00701E003838001FF00007
C00013147C9317>I<01E1E003F3F8067E1C0C7C1C0C781E0C781E18F01E00F01E00F01E
00F01E01E03C01E03C01E03C01E07803C07803C07003E0E003E1C007BF80079E00078000
0780000F00000F00000F00000F00001E0000FFE000FFE000171D809317>I<0F0F001FBF
8033F1C063E1C063C3C063C3C0C783800780000780000780000F00000F00000F00000F00
001E00001E00001E00001E00003C000018000012147D9313>114
D<00FC03FE0707060F0E0F0E0E1E001FE00FF80FFC07FC01FE003E701EF01CF01CE01860
703FE01F8010147D9313>I<00C001E003C003C003C003C007800780FFF0FFF00F000F00
0F000F001E001E001E001E003C003C003C003C307860786078C079C03F801E000C1C7C9B
0F>I<0780601FC0F039C1E031E1E061C1E063C1E0C3C3C00783C00783C00783C00F0780
0F07800F07800F078C0F0F180E0F180F0F180F1F3007F7E003E3C016147D9318>I<0781
C01FC3C039C3E031E1E061C0E063C0E0C3C0C00780C00780C00780C00F01800F01800F01
800F03000F03000F06000F06000F0C0007F80001E00013147D9315>I<078060E01FC0F1
E039C1E1F031E1E0F061C1E07063C1E070C3C3C0600783C0600783C0600783C0600F0780
C00F0780C00F0780C00F0781800F0781800F0781000F0F8300071F860007FBFC0001F0F8
001C147D931E>I<07C3800FE7C0187CE03078E06079E06079E0C0F1C000F00000F00000
F00001E00001E00001E00071E060F3C0C0F3C0C0E3C180E7C3007CFE00387C0013147D93
15>I<0780301FC07839C0F031E0F061C0F063C0F0C3C1E00781E00781E00781E00F03C0
0F03C00F03C00F03C00F07800F07800F07800F1F8007FF0001EF00000F00000E00001E00
781C00783C0070780060F0003FC0001F0000151D7D9316>I E /FA
6 122 df<018001C0018001806186F99F7DBE1FF807E007E01FF87DBEF99F6186018001
8001C0018010127E9215>3 D<07E01FF8381C700E6006E007C003C003C003C003E00760
06700E381C1FF807E010107E9115>14 D<00000300000000030000000001800000000180
00000000C00000000060007FFFFFF000FFFFFFF8000000000E00000000070000000001E0
000000007800000001E0000000038000000006000000001C00FFFFFFF8007FFFFFF00000
00006000000000C000000001800000000180000000030000000003000025187E952A>41
D<001F00FF01F003E003C003C003C003C003C003C003C003C003C003C003C003C003C007
800F00FE00F800FE000F00078003C003C003C003C003C003C003C003C003C003C003C003
C003C003E001F000FF001F10297E9E15>102 D<F800FF000F8007C003C003C003C003C0
03C003C003C003C003C003C003C003C003C001E000F0007F001F007F00F001E003C003C0
03C003C003C003C003C003C003C003C003C003C003C007C00F80FF00F80010297E9E15>
I<0300078007800780078007800780030003007B78FFFCFFFC7B78030003000780078007
800780078007800780078007800780078007800780078007800780030003000300030003
0003000E257E9C13>121 D E /FB 35 122 df<78FCFCFEFE7A02020202040404081010
204007127B8510>44 D<78FCFCFCFC7806067B8510>46 D<007E0001C3800700E00E0070
1E00781C00383C003C3C003C38001C78001E78001E78001E78001EF8001FF8001FF8001F
F8001FF8001FF8001FF8001FF8001FF8001FF8001FF8001FF8001FF8001FF8001FF8001F
78001E78001E78001E78001E7C003E3C003C3C003C1C00381E00780E00700700E001C380
007E0018297EA71D>48 D<00100000700000F0000FF000FFF000F0F00000F00000F00000
F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000
F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000
F00000F00000F00000F00000F00001F8007FFFE07FFFE013287CA71D>I<000FC0003FF0
00F01801C01803803C07007C0F007C0E00381E00003C00003C00003C00007C0000780000
780000F83F00F8C1C0F900E0FA0070FA0038FC003CFC001EFC001EF8001EF8001FF8001F
F8001FF8001F78001F78001F78001F78001F3C001E3C001E1C003C1E003C0E0078070070
03C1E001FFC0007E0018297EA71D>54 D<007E0001FF800381E00600F00C00781C003818
001C38001C38001C38001C38001C3C001C3E00381F00381FC0700FE0E007F98003FF0001
FF0000FF8001FFE0031FF00E07F81C03FC3800FE30007E70001E60000FE0000FE00007E0
0007E00007E00007F0000670000E78000C3800181E00300F81E003FFC000FE0018297EA7
1D>56 D<007E0001FF800781C00F00E01E00703C00383C003878003C78003CF8001EF800
1EF8001EF8001EF8001FF8001FF8001FF8001F78001F78003F78003F3C003F1C005F0E00
5F07009F03831F00FC1F00001E00001E00001E00003E00003C00003C0000381C00783E00
703E00E03C01C01803801C0F000FFE0003F80018297EA71D>I<00001000000000380000
0000380000000038000000007C000000007C000000007C00000000BE00000000BE000000
00BE000000011F000000011F000000011F000000020F800000020F800000020F80000004
07C000000407C000000C07E000000803E000000803E000001003F000001001F000001001
F000002000F800002000F800002000F800007FFFFC00007FFFFC000040007C000080003E
000080003E000080003E000100001F000100001F000300001F800200000F800200000F80
0600000FC01F80000FC0FFE000FFFEFFE000FFFE272A7EA92C>65
D<FFFF80FFFF8007F00003E00003E00003E00003E00003E00003E00003E00003E00003E0
0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
0003E00003E00007F000FFFF80FFFF8011297EA815>73 D<FFFF800FFEFFFF800FFE07F0
0003F003E00001C003E000010003E000020003E000040003E000080003E000100003E000
200003E000400003E000800003E001000003E002000003E004000003E008000003E01800
0003E03C000003E07E000003E0BE000003E11F000003E21F800003E40F800003E807C000
03F007E00003E003E00003E001F00003E001F80003E000F80003E0007C0003E0007E0003
E0003E0003E0001F0003E0001F0003E0000F8003E0000FC003E00007C003E00007E007F0
0007F8FFFF803FFFFFFF803FFF28297EA82E>75 D<FFE0000007FF80FFE0000007FF8007
E0000007F00002F000000BE00002F000000BE0000278000013E0000278000013E0000278
000013E000023C000023E000023C000023E000023C000023E000021E000043E000021E00
0043E000020F000083E000020F000083E000020F000083E0000207800103E00002078001
03E0000207800103E0000203C00203E0000203C00203E0000201E00403E0000201E00403
E0000201E00403E0000200F00803E0000200F00803E0000200781003E0000200781003E0
000200781003E00002003C2003E00002003C2003E00002003C2003E00002001E4003E000
02001E4003E00002000F8003E00002000F8003E00002000F8003E0000700070003E0000F
80070007F000FFF80700FFFF80FFF80200FFFF8031297EA836>77
D<FFE0003FFEFFF0003FFE03F80003E002F80001C0027C000080027E000080023E000080
021F000080021F000080020F800080020FC000800207C000800203E000800203F0008002
01F000800200F800800200FC008002007C008002003E008002003F008002001F00800200
0F808002000FC080020007C080020003E080020003F080020001F080020000F880020000
F8800200007C800200007E800200003E800200001F800200001F800200000F8002000007
80020000078007000003800F80000180FFF8000180FFF800008027297EA82C>I<FFFFFF
8000FFFFFFE00007E001F80003E0007C0003E0003E0003E0001F0003E0001F8003E0000F
8003E0000FC003E0000FC003E0000FC003E0000FC003E0000FC003E0000FC003E0000F80
03E0001F8003E0001F0003E0003E0003E0007C0003E001F00003FFFFC00003E000000003
E000000003E000000003E000000003E000000003E000000003E000000003E000000003E0
00000003E000000003E000000003E000000003E000000003E000000003E000000003E000
000003E000000007F0000000FFFF800000FFFF80000022297EA828>80
D<FFFFFC0000FFFFFFC00007E007E00003E000F80003E0007C0003E0003E0003E0003F00
03E0001F0003E0001F8003E0001F8003E0001F8003E0001F8003E0001F8003E0001F8003
E0001F0003E0003E0003E0003E0003E000780003E001F00003E007C00003FFFE000003E0
07000003E003C00003E001E00003E000F00003E000F80003E000780003E0007C0003E000
7C0003E0007C0003E0007C0003E0007E0003E0007E0003E0007E0003E0007E0003E0007E
0103E0007F0103E0003F0107F0001F02FFFF800F82FFFF80078400000001F8282A7EA82B
>82 D<00FE010003FF83000F81E3001E0037003C001F0038000F007800070070000700F0
000300F0000300F0000300F0000100F8000100F8000100FC0000007C0000007F0000003F
E000001FFE00000FFFE00007FFF80003FFFC00007FFE000007FF0000007F0000001F8000
000F80000007C0000007C0800003C0800003C0800003C0800003C0C00003C0C0000380C0
000380E0000780F0000700F8000E00EE001C00C3C07800C1FFF000803FC0001A2B7DA921
>I<FFFF803FFEFFFF803FFE07F00003E003E00001C003E000008003E000008003E00000
8003E000008003E000008003E000008003E000008003E000008003E000008003E0000080
03E000008003E000008003E000008003E000008003E000008003E000008003E000008003
E000008003E000008003E000008003E000008003E000008003E000008003E000008003E0
00008003E000008003E000008001E000010001F000010001F000010000F0000200007800
06000078000400003C000800001E003000000780E0000003FFC00000007F0000272A7EA8
2C>85 D<FFFE0003FF80FFFE0003FF8007E00000FC0007E00000300003E00000200003E0
0000200001F00000400001F00000400001F00000400000F80000800000F80000800000FC
00008000007C00010000007C00010000003E00020000003E00020000003F00020000001F
00040000001F00040000001F800C0000000F80080000000F800800000007C01000000007
C01000000007E01000000003E02000000003E02000000003F06000000001F04000000001
F04000000000F88000000000F88000000000FC80000000007D00000000007D0000000000
3E00000000003E00000000003E00000000001C00000000001C00000000001C0000000000
08000000292A7FA82C>I<03FC00000C070000100380003C01C0003E01E0003E00F0001C
00F0000800F0000000F0000000F0000000F000007FF00003E0F0000F80F0001E00F0003C
00F0007C00F0007800F040F800F040F800F040F800F040F801F0407C01F0403C0278801E
0C7F8007F01E001A1A7E991D>97 D<007F0001C0E00700100E00781E00F83C00F83C0070
7C0020780000F80000F80000F80000F80000F80000F80000F80000F800007800007C0000
3C00083C00081E00100E002007006001C180007E00151A7E991A>99
D<00FE000387800701C00E01E01C00E03C00F03C00F0780078780078F80078F80078FFFF
F8F80000F80000F80000F80000F800007800007800003C00083C00081E00100E00200700
4001C180007E00151A7E991A>101 D<001F000070C000E1E001C3E003C3E00381C00780
80078000078000078000078000078000078000078000078000078000FFFE00FFFE000780
000780000780000780000780000780000780000780000780000780000780000780000780
0007800007800007800007800007800007800007800007800007C000FFFE00FFFE00132A
7FA912>I<07800000FF800000FF8000000F800000078000000780000007800000078000
0007800000078000000780000007800000078000000780000007800000078000000783F8
00078C1C0007900E0007A0070007A0078007C0078007C007800780078007800780078007
800780078007800780078007800780078007800780078007800780078007800780078007
800780078007800780078007800780078007800780FFFCFFFCFFFCFFFC1E2A7FA921>
104 D<0F001F801F801F801F800F0000000000000000000000000000000000000007807F
807F800F8007800780078007800780078007800780078007800780078007800780078007
800780078007800780FFF8FFF80D297FA811>I<07800000FF800000FF8000000F800000
078000000780000007800000078000000780000007800000078000000780000007800000
07800000078000000780000007807FE007807FE007803F00078018000780300007802000
07804000078180000782000007860000078F0000079F000007AF800007C780000783C000
0783E0000781E0000781F0000780F8000780780007807C0007803C0007803E0007803F00
FFF8FFF0FFF8FFF01C2A7FA91F>107 D<0780FF80FF800F800780078007800780078007
800780078007800780078007800780078007800780078007800780078007800780078007
80078007800780078007800780078007800780078007800780FFFCFFFC0E2A7FA911>I<
0783F800FF8C1C00FF900E000FA0070007A0078007C0078007C007800780078007800780
078007800780078007800780078007800780078007800780078007800780078007800780
078007800780078007800780078007800780078007800780FFFCFFFCFFFCFFFC1E1A7F99
21>110 D<007E0003C3C00700E00E00701C00383C003C3C003C78001E78001EF8001FF8
001FF8001FF8001FF8001FF8001FF8001FF8001F78001E78001E3C003C3C003C1C00380E
00700700E003C3C0007E00181A7E991D>I<0783F000FF8C1C00FFB00F0007C0078007C0
03C0078003E0078001E0078001F0078001F0078000F8078000F8078000F8078000F80780
00F8078000F8078000F8078000F0078001F0078001F0078001E0078003C007C003C007C0
078007A00E0007983C000787E00007800000078000000780000007800000078000000780
000007800000078000000780000007800000FFFC0000FFFC00001D267F9921>I<0787C0
FF88E0FF91F00FA1F007C1F007C0E007C000078000078000078000078000078000078000
07800007800007800007800007800007800007800007800007800007800007C000FFFE00
FFFE00141A7F9917>114 D<07F0801C0D80300380600180600180E00080E00080F00080
F800007E00007FE0003FFC001FFE0007FF00003F800007808003C08003C08001C0C001C0
C001C0E00180E00380F00300CC0E0083F800121A7E9917>I<0080000080000080000080
000180000180000180000380000380000780000F80001FFF80FFFF800780000780000780
000780000780000780000780000780000780000780000780000780000780000780400780
4007804007804007804007804007804003C08001C08000E100003E0012257FA417>I<07
800780FF80FF80FF80FF800F800F80078007800780078007800780078007800780078007
800780078007800780078007800780078007800780078007800780078007800780078007
8007800780078007800F8007800F800380178001C027C000E047FC003F87FC1E1A7F9921
>I<FFF01FF0FFF01FF00F800780078003000780020007C0020003C0040003C0040001E0
080001E0080001F0080000F0100000F01000007820000078200000782000003C4000003C
4000001E8000001E8000001E8000000F0000000F0000000F000000060000000600001C1A
7F991F>I<FFF3FF83FEFFF3FF83FE0F807C00F80F003C006007803C004007801C004007
801E004003C02E008003C02F008003C02F008001E047010001E047810001E047810000F0
83820000F083C20000F083C200007901C400007901E400007D01E400003E00E800003E00
F800003E00F800001C007000001C007000001C0070000008002000271A7F992A>I<FFF0
1FF0FFF01FF00F800780078003000780020007C0020003C0040003C0040001E0080001E0
080001F0080000F0100000F01000007820000078200000782000003C4000003C4000001E
8000001E8000001E8000000F0000000F0000000F00000006000000060000000400000004
0000000C0000000800000008000070100000F8100000F8200000F8200000F04000006080
00001F0000001C267F991F>121 D E /FC 26 124 df<00001FE0000000F018000003C0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>12 D<000000180000000000003C0000000000003C0000000000003C00000000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>65 D<000001FF00008000001FFFE0018000007F007801800001F8000E03800003E00007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>67 D<FFFFFFFF800000FFFFFFFFF0000003FC0003FC000001F800007F000001F8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>I<FFFFFFFFFFF0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>I<FFF800000F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>78 D<000003FF00000000001E01E000000000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>I<FFFFFFF8000000FFFFFFFF800000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>82 D<000FF00080007FFE018001F00F818003C001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>I<7FFFFFFFFFFFC07FFFFFFFFFFFC07FC003FC003FC07E0001F8000FC07C00
01F80003C0780001F80001C0700001F80001C0700001F80000C0600001F80000C0600001
F80000C0E00001F80000E0E00001F80000E0C00001F8000060C00001F8000060C00001F8
000060C00001F8000060C00001F8000060C00001F8000060C00001F8000060000001F800
0000000001F8000000000001F8000000000001F8000000000001F8000000000001F80000
00000001F8000000000001F8000000000001F8000000000001F8000000000001F8000000
000001F8000000000001F8000000000001F8000000000001F8000000000001F800000000
0001F8000000000001F8000000000001F8000000000001F8000000000001F80000000000
01F8000000000001F8000000000001F8000000000001F8000000000001F8000000000001
F8000000000001F8000000000001F8000000000001F8000000000001F8000000000001F8
000000000001F8000000000001F8000000000001F8000000000001F8000000000001F800
0000000007FE0000000007FFFFFE00000007FFFFFE0000333B7DBA39>I<FFFFF0000FFF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>I<003F80000001C0F0000003
0038000004001C00000C001E000018000F00001C000F80003E000780003F0007C0003F00
07C0003F0007C0001E0007C000000007C000000007C000000007C00000003FC000000FE7
C000007E07C00001F007C00007E007C0000F8007C0001F0007C0003F0007C0003E0007C0
007E0007C0007C0007C060FC0007C060FC0007C060FC0007C060FC000FC060FC000FC060
7C000FC0607E0017C0603E0023E0C01F0041F18007C180FF0000FE003E0023257CA427>
97 D<0007F800003C0E0000F0018001E000C003C00060078000300F0000701F0000F81F
0001F83E0001F83E0001F87E0000F07C0000007C000000FC000000FC000000FC000000FC
000000FC000000FC000000FC000000FC000000FC0000007C0000007C0000007E0000003E
0000003E00000C1F00000C1F0000180F8000180780003003C0006001E000C000F0018000
3C0E000007F8001E257DA423>99 D<000FF00000383C0000E00F0001C00780038003C007
8001E00F0001F01F0000F01E0000F83E0000F83E0000F87C00007C7C00007C7C00007CFC
00007CFC00007CFFFFFFFCFC000000FC000000FC000000FC000000FC000000FC0000007C
0000007C0000007E0000003E0000003E00000C1E00000C1F0000180F0000180780003003
C0006001E000C000F00180003C0E000007F8001E257DA423>101
D<0000FC000003830000070380000E07C0001E0FC0003C0FC0007C0FC0007C0780007800
0000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F800
0000F8000000F8000000F8000000F8000000F80000FFFFFC00FFFFFC0000F8000000F800
0000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F800
0000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F800
0000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F800
0000F8000000F8000000F8000001FC00003FFFF0003FFFF0001A3C7FBB18>I<00000007
C0000FE01860003838207000F01E40F001E00F80F003C007806007C007C0000F8003E000
0F8003E0000F8003E0001F8003F0001F8003F0001F8003F0001F8003F0001F8003F0001F
8003F0000F8003E0000F8003E0000F8003E00007C007C00003C007800001E00F000003F0
1E00000238380000060FE00000040000000004000000000C000000000C000000000E0000
00000E000000000700000000078000000003FFFF000003FFFFF00001FFFFFC0000FFFFFE
00078000FF000E00001F801C000007C038000003C078000003C070000001E0F0000001E0
F0000001E0F0000001E0F0000001E0F0000001E078000003C038000003803C000007801E
00000F000700001C0003C0007800007803C000000FFE000024387EA527>I<038007C00F
E00FE00FE007C00380000000000000000000000000000000000000000000000000000003
E0FFE0FFE007E003E003E003E003E003E003E003E003E003E003E003E003E003E003E003
E003E003E003E003E003E003E003E003E003E003E003E003E003E003E003E007F0FFFFFF
FF10397EB815>105 D<03E000FFE000FFE00007E00003E00003E00003E00003E00003E0
0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
0007F000FFFF80FFFF80113C7EBB15>108 D<03E01FC0007F0000FFE060780181E000FF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>I<03E0
3FC000FFE0C0F000FFE100780007E2003C0003E4003E0003E8001E0003E8001E0003F000
1F0003F0001F0003F0001F0003E0001F0003E0001F0003E0001F0003E0001F0003E0001F
0003E0001F0003E0001F0003E0001F0003E0001F0003E0001F0003E0001F0003E0001F00
03E0001F0003E0001F0003E0001F0003E0001F0003E0001F0003E0001F0003E0001F0003
E0001F0003E0001F0003E0001F0003E0001F0003E0001F0007F0003F80FFFF87FFFCFFFF
87FFFC26257DA42C>I<0007F00000003C1E000000F007800001C001C000038000E00007
8000F0000F000078001E00003C001E00003C003E00003E003E00003E007C00001F007C00
001F007C00001F00FC00001F80FC00001F80FC00001F80FC00001F80FC00001F80FC0000
1F80FC00001F80FC00001F80FC00001F807C00001F007C00001F007C00001F003E00003E
003E00003E001E00003C001F00007C000F00007800078000F00003C001E00001C001C000
00F0078000003C1E00000007F0000021257DA427>I<03E03F8000FFE1C0F000FFE3003C
0007E4001E0003E8000F0003F000078003F00007C003E00003E003E00003E003E00001F0
03E00001F003E00001F803E00001F803E00000F803E00000FC03E00000FC03E00000FC03
E00000FC03E00000FC03E00000FC03E00000FC03E00000FC03E00000FC03E00000F803E0
0001F803E00001F803E00001F003E00003F003E00003E003E00007C003F00007C003F000
0F8003F8001F0003EC001E0003E600780003E181E00003E07F000003E000000003E00000
0003E000000003E000000003E000000003E000000003E000000003E000000003E0000000
03E000000003E000000003E000000003E000000003E000000007F0000000FFFF800000FF
FF80000026367DA42C>I<03E0FC00FFE10600FFE20F0007E41F8003E81F8003E81F8003
F00F0003F0060003F0000003F0000003E0000003E0000003E0000003E0000003E0000003
E0000003E0000003E0000003E0000003E0000003E0000003E0000003E0000003E0000003
E0000003E0000003E0000003E0000003E0000003E0000003E0000003E0000003E0000003
E0000007F00000FFFFC000FFFFC00019257DA41E>114 D<00FF02000700C6000C002E00
10001E0030001E0060000E0060000E00E0000600E0000600E0000600F0000600F8000600
FC0000007F0000003FF000003FFF80001FFFE00007FFF00001FFFC00003FFE000001FE00
00003F00C0001F00C0000F80C0000780E0000380E0000380E0000380E0000380F0000300
F0000300F8000700F8000600E4000C00E2001800C1807000807F800019257DA41F>I<00
180000001800000018000000180000001800000038000000380000003800000038000000
7800000078000000F8000000F8000001F8000003F8000007F800001FFFFE00FFFFFE0000
F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000
F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000
F8000000F8018000F8018000F8018000F8018000F8018000F8018000F8018000F8018000
F801800078018000780300007C0300003C0200001E0600000F0C000003F00019357FB41E
>I<FFFFFFFFFE2701809627>123 D E end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 300dpi
TeXDict begin
%%PaperSize: a4

%%EndSetup
%%Page: 1 1
1 0 bop 315 305 a FC(A)-7 b(TENSOR)25 b({)i(REDUCE)e(program)j(for)f
(tensor)834 409 y(simpli\014cation)723 557 y FB(V.A.Ilyin)962
535 y FA(\003)980 557 y Fz(and)20 b FB(A.P)-5 b(.Kryuk)n(o)n(v)1403
535 y FA(y)371 631 y FB(Institute)17 b(of)j(Nuclear)e(Ph)n(ysics,)h
(Mosco)n(w)h(State)f(Univ)n(ersit)n(y)755 706 y(119899,)i(Mosco)n(w,)g
(Russia)882 823 y(April)c(10,)j(1996)118 1012 y Fy(PR)n(OGRAM)27
b(SUMMAR)-7 b(Y)118 1127 y Fz(Title)15 b(of)i(pr)n(o)n(gr)n(am:)j
Fx(A)l(TENSOR)118 1195 y Fz(Catalo)n(gue)c(numb)n(er:)118
1264 y(Pr)n(o)n(gr)n(am)28 b(available)f(fr)n(om:)46
b Fx(CPC)28 b(Program)d(Li-)118 1320 y(brary)l(,)12 b(Queen's)h(Univ)o
(ersit)o(y)e(of)h(Belfast,)f(N.)h(Ireland)118 1377 y(\(see)j
(application)f(form)g(in)h(this)f(issue\).)118 1445 y
Fz(Lic)n(ense)g(pr)n(ovisions:)20 b Fx(none)118 1513
y Fz(Computer:)f Fx(An)o(y)12 b(computers)f(where)h(REDUCE)g([7])118
1570 y(can)j(b)q(e)h(installed)118 1638 y Fz(Op)n(er)n(ation)g(system:)
k Fx(see)15 b(ab)q(o)o(v)o(e.)118 1706 y Fz(Pr)n(o)n(gr)n(amming)h
(language:)k Fx(REDUCE-3.4,)14 b(3.5)118 1774 y Fz(No.)21
b(of)16 b(bits)g(in)g(a)g(wor)n(d:)21 b Fx(32)118 1843
y Fz(No.)30 b(of)19 b(lines)f(in)h(distribute)n(d)g(pr)n(o)n(gr)n(am,)h
(including)118 1899 y(test)c(data,)h(etc.:)j Fx(1963)118
1967 y Fz(Keywor)n(ds:)f Fx(T)l(ensor,)13 b(symmetry)l(,)e(m)o
(ultiterm)e(linear)118 2024 y(iden)o(tities,)18 b(dumm)o(y)f(indices,)i
(simpli\014cation,)e(p)q(er-)118 2080 y(m)o(utation)c(group,)h(REDUCE,)
h(computer)f(algebra.)118 2149 y Fz(Natur)n(e)23 b(of)f(physic)n(al)f
(pr)n(oblem:)33 b Fx(Simpli\014cation)20 b(of)118 2205
y(tensor)27 b(expressions)h(with)e(taking)h(in)o(to)f(accoun)o(t)118
2261 y(m)o(ultiterm)10 b(linear)j(iden)o(tities,)f(symmetry)f
(relations)118 2318 y(and)21 b(renaming)e(dumm)o(y)g(indices.)37
b(This)20 b(problem)118 2374 y(is)14 b(imp)q(ortan)o(t)f(for)h(the)h
(calculations)f(in)g(the)h(gra)o(vit)o(y)118 2431 y(theory)l(,)d
(di\013eren)o(tial)f(geometry)l(,)g(other)g(\014elds)i(where)118
2487 y(indexed)j(ob)s(jects)f(arise.)p 118 2530 370 2
v 174 2561 a Fw(\003)193 2576 y Fv(E-mail:)j(ilyin@theory)m
(.npi.msu.su)176 2611 y Fw(y)193 2626 y Fv(E-mail:)g(kryuk)o(o)o
(v@theory)m(.npi.msu.su)1084 1012 y Fz(Metho)n(d)k(of)g(solution:)32
b Fx(The)21 b(group)g(algebra)g(tec)o(h-)1084 1068 y(nique)15
b(for)g(p)q(erm)o(utation)e(group)i(is)f(applied)h(to)g(con-)1084
1125 y(struct)21 b(a)g(canonical)g(subspace)h(and)g(the)g(e\013ectiv)o
(e)1084 1181 y(algorithm)12 b(for)j(the)g(corresp)q(onding)g(pro)s
(jection.)1084 1249 y Fz(R)n(estriction)20 b(on)h(the)h(c)n(omplexity)f
(of)h(the)f(pr)n(oblem:)1084 1306 y Fx(Computer)12 b(op)q(erativ)o(e)g
(memory)f(is)h(the)i(sev)o(erest)f(re-)1084 1362 y(striction.)1084
1430 y Fz(R)o(unning)h(time:)19 b Fx(It)14 b(dep)q(ends)h(on)f(the)f
(problem.)18 b(F)l(or)1084 1487 y(example)h(the)h(expression)g(con)o
(tained)f(con)o(traction)1084 1543 y(of)f(Riemann)h(tensor)g(with)f(an)
o(tisymmetr)o(ic)e(tensor)1084 1600 y(of)11 b(second)i(order)e
Fu(\017)1409 1607 y Ft(\026\027)1456 1600 y Fs(\003)s
Fu(R)1517 1607 y Ft(\026\027)r(\025\024)1604 1600 y Fs(\000)s
Fu(\017)1660 1607 y Ft(\013\014)1710 1600 y Fs(\003)s
Fu(R)1771 1607 y Ft(\025\024\014)r(\013)1870 1600 y Fx(require)1084
1656 y(ab)q(out)16 b(82s)f(CPU)h(time)e(on)i(HP9000/735)e(with)h(8M)
1084 1713 y(for)f(REDUCE.)1084 1781 y Fz(R)n(efer)n(enc)n(es:)1084
1837 y Fx([1])f(V.A.Ilyin)h(and)g(A.P)l(.Kryuk)o(o)o(v,)f(in)h(Pro)q
(c.)20 b(of)14 b(the)1084 1894 y(In)o(t.)25 b(Symp.)g(of)17
b(Sym)o(b)q(olic.)24 b(and)17 b(Algebraic)f(Com-)1084
1950 y(putation)h(\(ISSA)o(C'91\),)g(July)h(15-17,)f(1991,)g(Bonn,)1084
2007 y(Ed.)j(b)o(y)15 b(S.W)l(att,)f(A)o(CM)g(Press)h(\(1991\))e(224.)
1084 2067 y([2])h(V.A.Ilyin)h(and)h(A.P)l(.Kryuk)o(o)o(v,)e(in)h("New)g
(Com-)1084 2127 y(puting)31 b(tec)o(hniques)g(in)h(Ph)o(ysics)f
(Researc)o(h)g(I)q(I",)1084 2187 y(Pro)q(c.)22 b(of)15
b(AIHENP-92,)h(Ed.)22 b(b)o(y)16 b(D.P)o(erret-Gallix,)1084
2248 y(W)l(orld)e(Scien)o(ti\014c,)h(Singap)q(ore)g(\(1992\))e(639-348)
1051 2827 y Fr(1)p eop
%%Page: 2 2
2 1 bop 118 154 a Fy(LONG)28 b(WRITE-UP)118 353 y(1)81
b(In)n(tro)r(duction)118 463 y Fr(Ob)s(jects)12 b(with)h(indices)g(are)
f(often)h(used)f(in)h(math-)118 523 y(ematics)21 b(and)h(ph)o(ysics.)37
b(T)l(ensors)22 b(are)f(classical)118 583 y(examples)h(here)f([1,)g
(2].)37 b(Indexed)21 b(ob)s(jects)g(can)118 643 y(ha)o(v)o(e)16
b(v)o(ery)g(complicated)i(and)g(in)o(tricated)f(prop-)118
704 y(erties.)k(F)l(or)14 b(example)g(the)g(Riemann)g(tensor)h(has)118
764 y(symmetry)c(prop)q(erties)h(with)h(resp)q(ect)e(to)h(p)q(erm)o(u-)
118 824 y(tation)22 b(of)f(indices.)36 b(Moreo)o(v)o(er)19
b(it)i(satis\014es)h(the)118 884 y(cyclic)f(iden)o(tit)o(y)g([1].)35
b(There)21 b(are)g(a)h(n)o(um)o(b)q(er)e(of)118 944 y(linear)13
b(iden)o(tities)h(with)e(man)o(y)g(terms)g(in)g(the)g(case)118
1005 y(of)23 b(Riemann-Cartan)i(geometry)d(with)i(torsion)118
1065 y([2].)177 1125 y(So)29 b(there)e(is)i(a)f(problem)g(of)g
(reduction)h(of)118 1185 y(expressions)21 b(whic)o(h)f(con)o(tain)g
(indexed)g(ob)s(jects,)118 1245 y(called)d("tensor)g(expressions")h(b)q
(elo)o(w.)177 1305 y(Tw)o(o)f(reduction)g(strategies)g(can)f(b)q(e)h
(used.)177 1366 y(First,)k(the)f(corresp)q(onding)i(expressions)f(are)
118 1426 y(expanded)e(in)h(terms)e(of)i(basic)g(elemen)o(ts)e(to)h(re-)
118 1486 y(solv)o(e)k(symmetries)f(and)h(iden)o(tities)h(in)f(the)g
(ex-)118 1546 y(plicit)d(form.)29 b(Ho)o(w)o(ev)o(er,)17
b(this)j(w)o(a)o(y)f(requires)f(in-)118 1606 y(tro)q(ducing)h(a)e(lot)h
(of)g(ob)s(jects)f(of)g(di\013eren)o(t)h(t)o(yp)q(es)118
1667 y(and)c(rules)h(for)f(their)g(managemen)o(t.)20
b(In)13 b(the)h(Rie-)118 1727 y(mann)21 b(tensor)g(case,)g(these)g(are)
f(the)h(Christofel)118 1787 y(sym)o(b)q(ol,)15 b(the)g(metric)f
(tensor,)h(and)g(their)g(deriv)m(a-)118 1847 y(tiv)o(es.)38
b(As)21 b(a)h(rule,)h(this)g(leads)f(to)g(large)h(in)o(ter-)118
1907 y(mediate)18 b(expressions.)26 b(F)l(urthermore,)17
b(suc)o(h)h(an)118 1968 y(approac)o(h)k(fails,)i(for)d(instance,)i(in)f
(the)f(case)g(of)118 2028 y(geometry)16 b(with)h(torsion.)177
2088 y(Second)26 b(strategy)h(is)f(to)h(consider)f(indexed)118
2148 y(ob)s(jects)21 b(as)h(formal)g(ob)s(jects)f(with)h(some)f(prop-)
118 2208 y(erties.)57 b(Note)28 b(that)g(if)h(w)o(e)f(consider)h
(tensors)118 2269 y(whic)o(h)j(ha)o(v)o(e)e(only)i(symmetries)f
(corresp)q(ond-)118 2329 y(ing)d(to)f(p)q(erm)o(utation)g(indices)g
(and)g(renaming)118 2389 y(dumm)o(y)11 b(ones)h(then)f(the)h(problem)g
(can)g(b)q(e)g(solv)o(ed)118 2449 y(in)27 b(terms)e(of)i(double)g
(cosets)f(of)g(p)q(erm)o(utation)118 2509 y(group)18
b([3].)k(Ho)o(w)o(ev)o(er,)14 b(if)k(linear)g(iden)o(tities)f(with)118
2570 y(man)o(y)11 b(terms)g(\()p Fq(>)j Fr(2\))d(are)h(presen)o(t,)f
(this)h(approac)o(h)118 2630 y(fails)j(b)q(ecause)f(the)f(summation)h
(op)q(erator)h(lea)o(v)o(es)118 2690 y(the)h(group)h(framew)o(ork.)1143
154 y(Our)j(approac)o(h)g(to)h(the)e(problem)i(of)f(simpli-)1084
214 y(\014cation)27 b(of)f(tensor)g(expressions)h(is)g(based)f(on)1084
274 y(the)e(consideration)j(of)e(tensor)g(expressions)g(as)1084
334 y(v)o(ectors)19 b(in)h(some)g(linear)h(space.)33
b(The)20 b(prelimi-)1084 394 y(nary)12 b(v)o(ersion)h(of)g(this)g(idea)
g(w)o(as)g(prop)q(osed)h(in)f([4].)1084 455 y(The)k(adv)m(anced)h(v)o
(ersion)f(of)h(the)f(algorithm)i(w)o(as)1084 515 y(presen)o(ted)d(at)h
(ISSA)o(C'91)g([8])g(and)g(AIHENP-92)1084 575 y([9].)j(Here)14
b(w)o(e)h(presen)o(t)g(a)h(program)g(in)g(whic)o(h)f(w)o(e)1084
635 y(implemen)o(t)21 b(the)h(prop)q(osed)h(algorithm)h(in)f(RE-)1084
695 y(DUCE)12 b(and)h(giv)o(e)g(a)f(detailed)i(description)f(of)g(the)
1084 756 y(program.)32 b(W)l(e)20 b(generalized)g(the)g(algorithm)i(to)
1084 816 y(the)16 b(case)g(of)h(tensor)f(m)o(ultiplication.)1143
876 y(Complemen)o(tary)f(approac)o(h)g(w)o(as)h(dev)o(elop)q(ed)1084
936 y(in)h([11].)22 b(Here)16 b(Y)l(oung)h(diagram)h(tec)o(hnique)d(w)o
(as)1084 996 y(used)k(to)h(solv)o(e)f(the)g(simpli\014cation)k(problem)
c(in)1084 1056 y(some)i(sp)q(eci\014c)g(case.)36 b(Namely)l(,)21
b(when)g(dumm)o(y)1084 1117 y(indices)d(are)g(allo)o(w)o(ed)g(only)h(b)
q(et)o(w)o(een)d(basic)j(ten-)1084 1177 y(sors)24 b(for)g(whic)o(h)g
(generic)g(symmetry)e(relations)1084 1237 y(and)27 b(m)o(ultiterm)e
(linear)j(iden)o(tities)f(should)h(b)q(e)1084 1297 y(imp)q(osed.)21
b(Although)16 b(this)e(algorithm)j(is)d(a)h(p)q(o)o(w-)1084
1357 y(erful)i(to)q(ol)i(in)f(`indicial)i(tensor)d(calculations')j(of)
1084 1418 y(asymptotic)12 b(expansions)i(of)e(heat)g(k)o(ernels)f(of)h
(dif-)1084 1478 y(feren)o(tial)k(op)q(erators)i(it)f(fails)h(in)f
(general)g(case.)1143 1538 y(F)l(rom)h(the)h(user's)f(p)q(oin)o(t)i(of)
f(view,)h(there)e(are)1084 1598 y(three)d(groups)j(of)e(tensor)h(prop)q
(erties:)1084 1670 y Fp(S)f Fr(-)f(symmetry)g(with)h(resp)q(ect)f(to)h
(index)g(p)q(erm)o(u-)1084 1730 y(tations;)1084 1791
y Fp(I)g Fr(-)g(linear)i(iden)o(tities.)1084 1851 y Fp(D)d
Fr(-)g(in)o(v)m(ariance)h(with)g(resp)q(ect)f(to)g(renamings)i(of)1084
1911 y(dumm)o(y)e(indices;)1143 1983 y(As)j(an)h(illustration,)i(for)e
(the)f(Riemann)h(cur-)1084 2043 y(v)m(ature)d(tensor)h(these)f(prop)q
(erties)h(are:)1168 2108 y Fo(S:)60 b Fu(R)1307 2115
y Ft(abcd)1389 2108 y Fx(=)13 b Fu(R)1472 2115 y Ft(cdab)1540
2108 y Fu(;)99 b(R)1687 2115 y Ft(abcd)1768 2108 y Fx(=)13
b Fs(\000)p Fu(R)1886 2115 y Ft(bacd)1955 2108 y Fx(;)1168
2165 y Fo(I:)69 b Fu(R)1307 2172 y Ft(abcd)1386 2165
y Fx(+)11 b Fu(R)1467 2172 y Ft(acdb)1546 2165 y Fx(+)f
Fu(R)1626 2172 y Ft(adbc)1707 2165 y Fx(=)j(0;)1168 2221
y Fo(D:)49 b Fu(R)1307 2228 y Ft(abcd)1376 2221 y Fu(R)1411
2228 y Ft(ck)q(mn)1500 2221 y Fu(R)1535 2228 y Ft(dlps)1612
2221 y Fx(=)13 b Fu(R)1695 2228 y Ft(abdc)1764 2221 y
Fu(R)1799 2228 y Ft(dk)q(mn)1891 2221 y Fu(R)1926 2228
y Ft(clps)1987 2221 y Fu(:)1143 2314 y Fr(Note)h(that)h(m)o(ultiterm)f
(linear)i(iden)o(tities)f(will)1084 2374 y(pro)q(duce)30
b(man)o(y)f(rewriting)i(rules)g(whic)o(h)f(can)1084 2435
y(complicate)17 b(the)f(problem)g(essen)o(tially)l(.)1143
2495 y(The)i(problem)h(under)g(in)o(v)o(estigation)h(can)f(b)q(e)1084
2555 y(form)o(ulated)f(as)g(a)g(question:)24 b Fn(whether)19
b(two)g(ten-)1084 2615 y(sor)c(expr)n(essions)h(ar)n(e)f(e)n(qual)h(or)
f(not,)i(taking)f(into)1084 2675 y(ac)n(c)n(ount)22 b(S-I-D)h(pr)n(op)n
(erties?)35 b Fr(Then)21 b(the)g(prob-)1051 2827 y(2)p
eop
%%Page: 3 3
3 2 bop 118 154 a Fr(lem)12 b(of)g Fn(simplest)h(\(shortest\))g(c)n
(anonic)n(al)h(form)f(for)118 214 y(given)19 b(expr)n(ession)f(arises)f
(as)g(a)h(c)n(entr)n(al)f(one.)118 377 y Fy(2)81 b(Basic)33
b(tensors)g(and)f(ten-)239 468 y(sor)27 b(expressions)118
578 y Fr(Let)16 b(us)h(giv)o(e)f(some)h(de\014nitions.)177
638 y(Under)k Fn(b)n(asic)i(tensors)f Fr(w)o(e)g(will)i(understand)118
698 y(the)29 b(ob)s(ject)g(with)i(\014nite)f(n)o(um)o(b)q(er)f(of)g
(indices)118 758 y(whic)o(h)13 b(can)g(ha)o(v)o(e)e(suc)o(h)i(prop)q
(erties)g(as)g Fn(symmetry)118 819 y Fr(and)k Fn(multiterm)h(line)n(ar)
g(identities)770 801 y Fm(1)791 819 y Fr(.)177 879 y(Then,)12
b(under)f Fn(tensor)h(expr)n(ession)g Fr(w)o(e)e(will)j(un-)118
939 y(derstand)22 b(an)o(y)g(expression)h(whic)o(h)f(can)g(b)q(e)f(ob-)
118 999 y(tained)h(from)e(basic)i(tensors)g(with)f(the)g(help)g(of)118
1059 y(the)16 b(follo)o(wing)j(op)q(erations:)191 1143
y Fl(\017)24 b Fr(summation)17 b(with)g(in)o(teger)g(co)q(e\016cien)o
(ts;)191 1238 y Fl(\017)24 b Fr(m)o(ultiplication)19
b(\(comm)o(utativ)o(e\))14 b(of)i(basic)240 1298 y(tensors)389
1280 y Fm(2)409 1298 y Fr(.)177 1382 y(W)l(e)21 b(assume)g(that)g(all)h
(terms)f(in)g(the)g(tensor)118 1442 y(expression)14 b(ha)o(v)o(e)e(the)
h(same)f(n)o(um)o(b)q(er)h(of)g(indices.)118 1502 y(Some)19
b(pairs)h(of)g(them)e(are)h(mark)o(ed)g(as)g(dumm)o(y)118
1562 y(ones.)46 b(The)24 b(set)g(of)h(nondumm)o(y)f(names)g(ha)o(v)o(e)
118 1623 y(to)19 b(b)q(e)g(the)f(same)g(for)h(eac)o(h)f(term)g(in)h
(the)f(tensor)118 1683 y(expression.)29 b(The)19 b(names)g(of)g
(dummies)f(can)h(b)q(e)118 1743 y(arbitrary)l(.)118 1906
y Fy(3)81 b(Algebraic)28 b(approac)n(h)118 2016 y Fr(T)l(o)14
b(start)f(with,)h(let)g(us)f(consider)h(the)f(case)g(of)g(one)118
2076 y(basic)25 b(tensor)e(and)i(tensor)e(expressions)i(whic)o(h)118
2136 y(are)18 b(linear)g(com)o(binations)h(of)f(this)g(basic)h(tensor)
118 2196 y(with)c(in)o(teger)g(co)q(e\016cien)o(ts)f(\(i.e.)20
b(without)c(m)o(ulti-)118 2256 y(plication)j(of)d(tensors\).)177
2317 y(Let)27 b(a)h(tensor)f Fq(F)33 b Fr(has)28 b(indices)g
Fq(\026)847 2324 y Fm(1)867 2317 y Fq(;)8 b(:)g(:)g(:)f(;)h(\026)1005
2324 y Ft(n)1029 2317 y Fr(.)118 2377 y(There)16 b(are)g
Fq(n)p Fr(!)g(formally)i(di\013eren)o(t)e(ob)s(jects)118
2486 y Fq(F)150 2494 y Ft(\031)q Fm(\()p Ft(\026)206
2499 y Fk(1)223 2494 y Ft(;:::;\026)294 2498 y Fj(n)315
2494 y Fm(\))331 2486 y Fq(;)56 b(\031)16 b Fr(=)496
2426 y Fi(\032)569 2456 y Fr(1)83 b Fl(\001)8 b(\001)g(\001)83
b Fq(n)536 2517 y(\031)r Fr(\(1\))48 b Fl(\001)8 b(\001)g(\001)49
b Fq(\031)r Fr(\()p Fq(n)p Fr(\))888 2426 y Fi(\033)933
2486 y Fl(2)14 b Fq(S)1010 2493 y Ft(n)1034 2486 y Fq(;)p
118 2557 370 2 v 174 2588 a Fh(1)193 2603 y Fv(The)h(symmetry)f
(relations)i(are)f(partial)g(case)h(of)d(lin-)118 2652
y(ear)h(iden)o(tities)j(indeed)174 2687 y Fh(2)193 2702
y Fv(Including)e(con)o(traction)g(of)e(indices.)1084
154 y Fr(where)e Fq(S)1250 161 y Ft(n)1286 154 y Fr(is)h(the)g(group)h
(of)f(p)q(erm)o(utations)h(of)f(the)1084 214 y(set)k(\(1)p
Fq(;)8 b(:)g(:)g(:)g(;)g(n)p Fr(\))16 b(and)1181 376
y Fq(\031)r Fr(\()p Fq(\026)1259 383 y Fm(1)1279 376
y Fq(;)8 b(:)g(:)g(:)f(;)h(\026)1417 383 y Ft(n)1441
376 y Fr(\))14 b Fl(\021)f Fr(\()p Fq(\031)r Fr(\()p
Fq(\026)1623 383 y Fm(1)1643 376 y Fr(\))p Fq(;)8 b(:)g(:)g(:)f(;)h
(\031)r Fr(\()p Fq(\026)1849 383 y Ft(n)1872 376 y Fr(\)\))1084
478 y(.)1143 538 y(If)19 b Fq(F)26 b Fr(has)20 b(symmetries)f(with)i
(resp)q(ect)e(to)h(in-)1084 598 y(dex)g(p)q(erm)o(utations)i(it)g
(means)f(that)g(there)g(is)g(a)1084 658 y(subgroup)c
Fq(H)h Fl(2)d Fq(S)1431 665 y Ft(n)1470 658 y Fr(suc)o(h)h(that)1153
760 y Fq(F)1185 767 y Ft(h)p Fg(\016)p Ft(\031)1271 760
y Fl(\000)25 b Fq(d)p Fr(\()p Fq(h)p Fr(\))11 b Fl(\001)g
Fq(F)1494 767 y Ft(\031)1545 760 y Fr(=)28 b(0)p Fq(;)106
b Fl(8)p Fq(h)12 b Fl(2)i Fq(S)1901 767 y Ft(n)1925 760
y Fr(;)1084 862 y Fq(d)p Fr(\()p Fq(h)p Fr(\))g Fl(2)g
Fq(R)1273 841 y Fm(1)1293 862 y Fr(;)22 b Fq(h)p Fl(\016)p
Fq(\031)16 b Fl(\021)d Fr(\()p Fq(\031)r Fr(\()p Fq(h)p
Fr(\()p Fq(\026)1622 869 y Fm(1)1642 862 y Fr(\)\))p
Fq(;)8 b(:)g(:)g(:)f(;)h(\031)r Fr(\()p Fq(h)p Fr(\()p
Fq(\026)1914 869 y Ft(n)1937 862 y Fr(\)\)\))p Fq(:)1143
945 y Fr(Multiterm)j(linear)i(iden)o(tities)f(can)f(b)q(e)g(written)
1084 1006 y(in)17 b(the)f(follo)o(wing)j(form)1255 1066
y Fi(X)1241 1158 y Ft(\031)q Fg(2)p Ft(S)1307 1162 y
Fj(n)1354 1107 y Fq(\013)1385 1114 y Ft(\031)1419 1107
y Fl(\001)11 b Fq(F)1476 1114 y Ft(\031)1513 1107 y Fr(=)j(0)p
Fq(;)57 b(\013)1691 1114 y Ft(\031)1728 1107 y Fl(2)14
b Fp(R)1817 1087 y Fm(1)1837 1107 y Fq(:)1143 1246 y
Fr(If)35 b(some)h(pairs)h(of)f(dumm)o(y)f(indices)i(are)1084
1307 y(presen)o(t)24 b(without)i(an)o(y)f(loss)h(of)g(generalit)o(y)f
(w)o(e)1084 1367 y(ma)o(y)20 b(supp)q(ose)i(that)f(their)g(names)f(are)
h(already)1084 1427 y(normalized)29 b(in)g(some)f(w)o(a)o(y)l(,)i(i.e.)
56 b(they)28 b(ha)o(v)o(e)1084 1487 y(\014xed)c(names.)47
b(Therefore)24 b(one)h(can)g(only)g(ex-)1084 1547 y(c)o(hange)d(these)g
(names:)34 b(1\))22 b(c)o(hange)h(names)f(in-)1084 1607
y(side)d(eac)o(h)f(pair)h(and)g(2\))g(c)o(hange)f(pairs)i(of)e(these)
1084 1668 y(names.)i(With)12 b(this)h(restriction)g(the)f(exc)o
(hanging)1084 1728 y(of)23 b(dumm)o(y)f(indices)i(means)f(that)h(a)g
(subgroup)1084 1788 y Fq(M)19 b Fl(2)14 b Fq(S)1227 1795
y Ft(n)1267 1788 y Fr(exists)i(suc)o(h)g(that)1600 1770
y Fm(3)1132 1890 y Fq(F)1164 1898 y Ft(\031)q Fg(\016)p
Ft(m)p Fm(\()p Ft(\026)1269 1903 y Fk(1)1287 1898 y Ft(;)p
Fg(\001\001\001)o Ft(;\026)1357 1902 y Fj(n)1378 1898
y Fm(\))1408 1890 y Fr(=)d Fq(F)1491 1897 y Ft(\031)1515
1890 y Fq(;)56 b Fl(8)13 b Fq(m)g Fl(2)h Fq(M)r(;)8 b(\031)16
b Fl(2)e Fq(S)1922 1897 y Ft(n)1946 1890 y Fq(:)1143
1992 y Fr(Let)j(us)g(consider)h(no)o(w)g Fn(the)g(gr)n(oup)g(algebr)n
(a)g Fr(of)1084 2052 y Fq(S)1114 2059 y Ft(n)1156 2052
y Fr([5].)29 b(This)20 b(is)g(a)f(linear)h(space)f Fp(R)1773
2034 y Ft(n)p Fm(!)1825 2052 y Fr(in)h(whic)o(h)1084
2112 y(unit)d(v)o(ectors)e(corresp)q(ond)i(to)g(p)q(erm)o(utations:)
1337 2214 y Fp(R)1379 2193 y Ft(n)p Fm(!)1426 2214 y
Fl(3)d Fq(e)1496 2221 y Ft(\031)1533 2214 y Fl($)g Fq(\031)h
Fl(2)f Fq(S)1717 2221 y Ft(n)1741 2214 y Fq(:)1143 2316
y Fr(The)26 b(v)o(ectors)f Fq(e)1451 2323 y Ft(\031)1500
2316 y Fr(are)h(orthogonal)j(to)d(eac)o(h)1084 2376 y(other)16
b(in)h(the)f(Euclidean)i(metric.)p 1084 2407 V 1140 2438
a Fh(3)1158 2453 y Fv(The)i(di\013erence)i(in)d(actions)h(of)e
Ff(H)k Fv(and)d Ff(M)k Fv(on)c Ff(S)1985 2459 y Fe(n)1084
2503 y Fv(in)j(the)g(discussed)j(relations)e(\()p Ff(h)15
b FA(\016)f Ff(\031)23 b Fv(and)e Ff(\031)16 b FA(\016)e
Ff(m)22 b Fv(\))g(is)1084 2553 y(connected)17 b(with)f(the)f
(di\013eren)o(t)i(nature)f(of)f(these)h(trans-)1084 2603
y(formations:)28 b(the)20 b(symmetry)g(acts)g(up)q(on)f(place)i(of)d
(in-)1084 2652 y(dices)d(while)g(dumm)o(y)e(indices)j(renaming)d(acts)i
(up)q(on)e(the)1084 2702 y(names.)1051 2827 y Fr(3)p
eop
%%Page: 4 4
4 3 bop 177 154 a Fr(So)21 b(w)o(e)e(ha)o(v)o(e)g(an)h(explicit)h
(isomorphism)h(b)q(e-)118 214 y(t)o(w)o(een)15 b(tensor)h(expressions)h
(and)g(p)q(oin)o(ts)g(in)g Fp(R)996 196 y Ft(n)p Fm(!)1029
214 y Fr(:)325 279 y Fi(X)344 366 y Ft(\031)394 320 y
Fq(\013)425 327 y Ft(\031)459 320 y Fl(\001)11 b Fq(e)507
327 y Ft(\031)544 320 y Fl($)608 279 y Fi(X)627 366 y
Ft(\031)676 320 y Fq(\013)707 327 y Ft(\031)742 320 y
Fl(\001)f Fq(F)798 327 y Ft(\031)822 320 y Fq(;)118 485
y Fd(3.1)66 b(Subspace)23 b(K)118 577 y Fr(In)d(terms)f(of)i
Fp(R)424 559 y Ft(n)p Fm(!)457 577 y Fr(,)f(the)g(left)g(hand)h(sides)g
(of)f(the)118 638 y Fp(S-I-D)c Fr(relations)i(corresp)q(ond)f(to)g(the)
f(v)o(ectors)145 779 y Fq(e)168 786 y Ft(h)p Fg(\016)p
Ft(\031)240 779 y Fl(\000)11 b Fq(d)p Fr(\()p Fq(h)p
Fr(\))p Fq(e)404 786 y Ft(\031)427 779 y Fq(;)57 b(e)521
786 y Ft(\031)q Fg(\016)p Ft(m)604 779 y Fl(\000)11 b
Fq(e)677 786 y Ft(\031)700 779 y Fq(;)787 725 y Ft(n)p
Fm(!)773 738 y Fi(X)771 830 y Ft(k)q Fm(=1)843 779 y
Fq(\013)874 786 y Ft(k)896 779 y Fq(e)919 786 y Ft(k)940
779 y Fq(;)26 b Fr(\(1\))324 946 y Fq(h)14 b Fl(2)g Fq(H)q(;)22
b(m)14 b Fl(2)g Fq(M)r(;)22 b(\031)15 b Fl(2)f Fq(S)799
953 y Ft(n)823 946 y Fq(:)177 1032 y Fr(These)20 b(v)o(ectors)g(span)h
(some)g(subspace)f Fp(K)h Fl(2)118 1092 y Fp(R)160 1074
y Ft(n)p Fm(!)193 1092 y Fr(.)g(W)l(e)16 b(denote)h(its)g(dimension)g
(as)g Fq(K)t Fr(.)177 1152 y(No)o(w)12 b(w)o(e)g(can)g(split)i(group)f
(algebra)g(of)g Fq(S)924 1159 y Ft(n)960 1152 y Fr(in)o(to)118
1212 y(orthogonal)19 b(comp)q(onen)o(ts)f(in)f(terms)f(of)h(the)g(Eu-)
118 1273 y(clidean)g(metric)430 1379 y Fp(R)472 1359
y Ft(n)p Fm(!)519 1379 y Fr(=)c Fp(K)e Fl(\010)g Fp(Q)p
Fq(:)177 1486 y Fr(It)18 b(is)h(ob)o(vious)g(that)g(all)h(p)q(oin)o(ts)
f(of)g Fp(R)887 1468 y Ft(n)p Fm(!)938 1486 y Fr(lying)118
1546 y(in)13 b Fp(K)f Fr(corresp)q(ond)h(to)f(tensor)h(expressions)g
(whic)o(h)118 1606 y(are)18 b(equal)g(to)g(zero)f(due)h(to)g(the)f
Fp(S-I-D)g Fr(prop)q(er-)118 1666 y(ties.)j(Th)o(us,)13
b(an)o(y)e(t)o(w)o(o)h(p)q(oin)o(ts)h Fq(A)e Fr(and)i
Fq(A)852 1648 y Fg(0)875 1666 y Fr(lying)g(on)118 1727
y(the)j(plane)g(parallel)i(to)e Fp(K)g Fr(corresp)q(ond)h(to)f(equal)
118 1787 y(expressions:)252 1893 y(\()p Fq(A)11 b Fl(\000)f
Fq(A)405 1873 y Fg(0)417 1893 y Fr(\))j Fl($)527 1852
y Fi(X)513 1944 y Ft(\031)q Fg(2)p Ft(S)579 1948 y Fj(n)609
1893 y Fq(\013)640 1873 y Ft(S)r(I)s(D)640 1906 y(\031)725
1893 y Fl(\001)e Fq(F)782 1900 y Ft(\031)819 1893 y Fr(=)i(0)p
Fq(:)177 2040 y Fr(The)25 b(\()p Fq(n)p Fr(!)17 b Fl(\000)g
Fq(K)t Fr(\))25 b(dimensional)i(subspace)f Fp(Q)118 2100
y Fr(could)g(b)q(e)g(c)o(hosen)f(as)h(a)g(set)g(of)f(canonical)j(el-)
118 2160 y(emen)o(ts:)48 b(a)30 b(p)q(oin)o(t)h Fq(A)561
2167 y Ft(Q)621 2160 y Fr(can)f(b)q(e)g(determined)118
2221 y(as)21 b(a)g(canonical)h(represen)o(tativ)o(e)d(of)i(the)f
Fp(S-I-D)118 2281 y Fr(equiv)m(alence)g(class)g(of)g
Fq(A)p Fr(.)31 b(Then)19 b(one)h(can)g(con-)118 2341
y(clude)j(that)g(the)g(problem)g(of)g(comparing)h(ten-)118
2401 y(sor)e(expressions)h(ma)o(y)d(b)q(e)i(solv)o(ed)g(b)o(y)f
(compar-)118 2461 y(ing)27 b(their)g(canonical)h(represen)o(tativ)o
(es.)50 b(Suc)o(h)118 2522 y(an)30 b(approac)o(h)g(w)o(as)f(dev)o(elop)
q(ed)g(in)h([4])f(where)118 2582 y(the)15 b(Gramm-Sc)o(hmidt)f
(orthogonali)q(zatio)q(n)k(pro-)118 2642 y(cedure)10
b(w)o(as)i(used)f(as)g(a)h(main)f(tec)o(hnical)g(metho)q(d.)118
2702 y(Ho)o(w)o(ev)o(er,)17 b(this)i(pro)q(cedure)f(requires)g(to)q(o)h
(m)o(uc)o(h)1084 154 y(time)i(and)g(computer)g(memory)f(during)j
(execu-)1084 214 y(tions.)1143 274 y(In)e([8)o(])g(the)g(authors)h
(prop)q(osed)g(an)g(e\013ectiv)o(e)1084 334 y(pro)q(cedure)14
b(where)g(another)h(subspace,)g(denoted)1084 394 y(b)q(elo)o(w)i(as)f
Fp(L)p Fr(,)g(had)g(b)q(een)g(considered)h(as)f(a)h(set)f(of)1084
455 y(canonical)k(elemen)o(ts.)27 b(In)19 b(the)f(next)g(section)h(w)o
(e)1084 515 y(giv)o(e)13 b(a)g(concise)h(form)o(ulation)g(of)f(this)h
(pro)q(cedure.)1084 659 y Fd(3.2)66 b("T)-6 b(riangle")23
b(S-I-D)g(basis)1084 752 y Fr(Let's)16 b(designate)h(v)o(ectors)f
(\(1\))g(as)1227 899 y Fq(V)1266 879 y Fm(0)1255 911
y Ft(k)1300 899 y Fr(=)1367 845 y Ft(n)p Fm(!)1352 858
y Fi(X)1352 949 y Ft(j)r Fm(=1)1421 899 y Fq(\013)1452
879 y Fm(0)1452 911 y Ft(k)q(j)1490 899 y Fq(e)1513 906
y Ft(j)1531 899 y Fq(;)21 b(k)16 b Fr(=)e(\(1)p Fq(;)8
b(:::;)1800 887 y Fr(~)1788 899 y Fq(K)s Fr(\))p Fq(:)81
b Fr(\(2\))1143 1048 y(Then)15 b(w)o(e)g(construct)g(new)g(v)o(ectors)g
(b)o(y)f(recur-)1084 1108 y(ren)o(t)i(applying)k(\(with)e(steps)f
Fq(m)f Fr(=)g(1)p Fq(;)8 b(:)g(:)g(:)f(;)1900 1096 y
Fr(~)1887 1108 y Fq(K)t Fr(\))18 b(of)1084 1168 y(the)e(follo)o(wing)j
(transformation:)1143 1228 y(|)i Fn(if)i Fq(V)1305 1210
y Ft(m)p Fg(\000)p Fm(1)1294 1241 y Ft(m)1406 1228 y
Fl(6)p Fr(=)g(0)g Fn(then)g(de\014ne)h Fq(k)1799 1235
y Ft(m)1855 1228 y Fn(by)f(\014rst)1084 1289 y(nonzer)n(o)17
b(c)n(o)n(e\016cient)i(in)e Fq(V)1594 1271 y Ft(m)p Fg(\000)p
Fm(1)1582 1301 y Ft(m)1690 1289 y Fn(and)g(let)1209 1399
y Fq(V)1248 1378 y Ft(m)1237 1411 y(k)1295 1399 y Fl(\021)d
Fq(V)1387 1378 y Ft(m)p Fg(\000)p Fm(1)1376 1411 y Ft(k)1465
1399 y Fq(;)106 b(k)15 b Fr(=)f(1)p Fq(;)8 b(:)g(:)g(:)g(;)g(k)1836
1406 y Ft(m)1870 1399 y Fr(;)1109 1544 y Fq(V)1148 1524
y Ft(m)1137 1557 y(k)1195 1544 y Fl(\021)14 b Fq(V)1287
1524 y Ft(m)p Fg(\000)p Fm(1)1276 1557 y Ft(k)1371 1544
y Fl(\000)1429 1491 y Ft(m)1415 1503 y Fi(X)1417 1594
y Ft(i)p Fm(=1)1488 1507 y Fq(\013)1519 1487 y Ft(m)p
Fg(\000)p Fm(1)1519 1520 y Ft(k)q(j)1552 1525 y Fj(i)p
1488 1533 110 2 v 1488 1580 a Fq(\013)1519 1559 y Ft(m)p
Fg(\000)p Fm(1)1519 1592 y Ft(k)1537 1597 y Fj(i)1550
1592 y Ft(j)1564 1597 y Fj(i)1602 1544 y Fq(V)1642 1524
y Ft(m)p Fg(\000)p Fm(1)1630 1557 y Ft(k)1648 1562 y
Fj(i)1720 1544 y Fq(;)22 b(k)16 b(>)d(k)1873 1551 y Ft(m)1907
1544 y Fr(;)25 b(\(3\))1084 1672 y(|)16 b Fn(if)h Fq(V)1235
1654 y Ft(m)p Fg(\000)p Fm(1)1224 1684 y Ft(m)1328 1672
y Fr(=)c(0)18 b Fn(then)h Fq(V)1569 1654 y Ft(m)1558
1684 y(k)1616 1672 y Fl(\021)14 b Fq(V)1708 1651 y Ft(m)p
Fg(\000)p Fm(1)1697 1685 y Ft(k)1786 1672 y Fn(.)1143
1732 y Fr(As)g(a)g(result,)h(w)o(e)e(ha)o(v)o(e)h(a)g(set)g(of)g
(nonzero)h(v)o(ec-)1084 1792 y(tors)g Fq(V)1219 1767
y Fm(\()p Ft(K)r Fm(\))1208 1805 y Ft(k)1295 1792 y Fr(whic)o(h)f(span)
h(the)f(subspace)h Fp(K)p Fr(.)20 b(Note)1084 1859 y(that)13
b(all)h(nonzero)e(v)o(ectors)g Fq(V)1628 1834 y Fm(\()p
Ft(K)r Fm(\))1617 1872 y Ft(k)1702 1859 y Fr(are)h(linearly)h(in-)1084
1920 y(dep)q(enden)o(t.)30 b(Indeed,)19 b(let)g(us)h(reorder)f(the)g
(unit)1084 1980 y(v)o(ectors)1187 2090 y(\()p Fq(e)1229
2097 y Fm(1)1248 2090 y Fq(;)8 b(:)g(:)g(:)g(;)g(e)1381
2097 y Ft(n)p Fm(!)1413 2090 y Fr(\))14 b Fl(\000)-8
b(!)13 b Fr(\()p Fq(e)1582 2097 y Ft(j)1596 2102 y Fk(1)1616
2090 y Fq(;)8 b(:)g(:)g(:)f(;)h(e)1748 2097 y Ft(j)1762
2101 y Fj(m)1793 2090 y Fq(;)g(:)g(:)g(:)o Fr(\))p Fq(:)1084
2208 y Fr(Then)24 b(the)g(v)o(ectors)g Fq(V)1524 2183
y Fm(\()p Ft(K)r Fm(\))1513 2221 y Ft(k)1610 2208 y Fr(with)h
Fq(k)k Fl(\025)e Fq(k)1874 2215 y Ft(m)1932 2208 y Fr(will)1084
2268 y(ha)o(v)o(e)17 b(zero)h(pro)s(jections)h(on)o(to)g(the)f(unit)h
(v)o(ectors)1084 2328 y Fq(e)1107 2335 y Ft(j)1121 2340
y Fj(i)1148 2328 y Fr(\()p Fq(i)13 b(<)h(m)p Fr(\).)19
b(In)12 b(other)g(w)o(ords,)g(the)g(set)f Fq(V)1864 2303
y Fm(\()p Ft(K)r Fm(\))1852 2341 y Ft(k)1937 2328 y Fr(has)1084
2389 y(a)16 b("triangle")i(form)e(in)g(this)h(reordered)e(basis.)22
b(It)1084 2449 y(is)16 b(eviden)o(t)f(that)h(a)f(n)o(um)o(b)q(er)g(of)h
(nonzero)g(v)o(ectors)1084 2509 y Fq(V)1123 2484 y Fm(\()p
Ft(K)r Fm(\))1112 2522 y Ft(k)1205 2509 y Fr(is)21 b(equal)g(to)g
Fq(K)k Fr(-)20 b(the)h(dimension)g(of)g(the)1084 2569
y Fp(S-I-D)15 b Fr(subspace)i Fp(K)p Fr(.)1143 2629 y(W)l(e)g(ha)o(v)o
(e)g(made)g(some)g(optimization)j(in)e(ad-)1084 2690
y(dition)g(to)e(the)g(transformation)i(\(3\):)1051 2827
y(4)p eop
%%Page: 5 5
5 4 bop 177 154 a Fn(on)26 b(e)n(ach)g(step)h Fq(m)e
Fn(al)r(l)i(alr)n(e)n(ady)e(c)n(onstructe)n(d)118 214
y(nonzer)n(o)18 b(ve)n(ctors)g Fq(V)505 188 y Fm(\()p
Ft(K)r Fm(\))493 226 y Ft(k)511 231 y Fj(i)584 214 y
Fn(\()p Fq(i)d(<)f(m)p Fn(\))k(ar)n(e)f(impr)n(ove)n(d)118
274 y(by)h(the)g(fol)r(lowing)h(tr)n(ansformation)p Fr(:)196
452 y Fq(V)236 431 y Ft(m)224 464 y(k)242 469 y Fj(i)283
452 y Fl(!)14 b Fq(V)386 431 y Ft(m)375 464 y(k)393 469
y Fj(i)430 452 y Fl(\000)493 415 y Fq(\013)524 397 y
Ft(m)524 427 y(k)542 432 y Fj(i)556 427 y Ft(j)570 431
y Fj(m)p 485 440 125 2 v 485 486 a Fq(\013)516 469 y
Ft(m)516 499 y(k)534 503 y Fj(m)564 499 y Ft(j)578 503
y Fj(m)614 452 y Fq(V)654 431 y Ft(m)642 464 y(k)660
468 y Fj(m)692 452 y Fq(;)57 b(i)14 b(<)f(m:)78 b Fr(\(4\))177
588 y(Suc)o(h)16 b(optimization)j(do)q(esn't)e(sp)q(oil)i(the)d("tri-)
118 648 y(angle")23 b(structure)d(and)i(v)o(ectors)e
Fq(V)797 630 y Ft(k)786 661 y(i)840 648 y Fr(with)h Fq(k)j(<)118
709 y(k)143 716 y Ft(m)194 709 y Fr(will)c(ha)o(v)o(e)d(zero)g(pro)s
(jections)i(on)o(to)f(the)g(unit)118 769 y(v)o(ectors)i
Fq(e)311 776 y Ft(j)350 769 y Fr(with)i Fq(j)j Fr(=)d
Fq(j)591 776 y Fm(1)611 769 y Fq(;)8 b(:::;)g(j)717 776
y Ft(m)p Fg(\000)p Fm(1)794 769 y Fr(.)36 b(Th)o(us,)22
b(w)o(e)118 837 y(conclude)12 b(that)f(eac)o(h)g(v)o(ector)g
Fq(V)700 812 y Fm(\()p Ft(K)r Fm(\))689 850 y Ft(k)773
837 y Fr(has)h(not)g(more)118 898 y(then)k(\()p Fq(n)p
Fr(!)11 b Fl(\000)g Fq(K)t Fr(\))16 b(nonzero)h(comp)q(onen)o(ts.)118
1041 y Fd(3.3)66 b(Subspace)25 b(of)f(canonical)i(ele-)271
1116 y(men)n(ts)118 1208 y Fr(Let)21 b(us)g(consider)g(an)g(arbitrary)h
(v)o(ector,)e(desig-)118 1268 y(nated)d(b)q(elo)o(w)g(as)365
1398 y Fq(A)402 1377 y Fm(0)435 1398 y Fl(\021)d Fq(A)f
Fr(=)605 1344 y Ft(n)p Fm(!)591 1357 y Fi(X)590 1448
y Ft(j)r Fm(=1)660 1398 y Fq(a)686 1377 y Fm(0)686 1410
y Ft(i)716 1398 y Fl(\001)e Fq(e)764 1405 y Ft(j)782
1398 y Fq(;)118 1544 y Fr(and)22 b(recurren)o(tly)e(apply)i(\()p
Fq(m)g Fr(=)h(1)p Fq(;)8 b(:)g(:)g(:)f(;)h(K)t Fr(\))21
b(the)118 1604 y(follo)o(wing)e(transformation:)151 1794
y Fq(A)188 1774 y Ft(m)235 1794 y Fl(\021)13 b Fq(A)324
1774 y Ft(m)p Fg(\000)p Fm(1)413 1794 y Fl(\000)478 1758
y Fq(a)504 1737 y Ft(m)p Fg(\000)p Fm(1)504 1769 y Ft(j)518
1773 y Fj(m)p 468 1783 V 468 1830 a Fq(\013)499 1809
y Ft(m)p Fg(\000)p Fm(1)499 1842 y Ft(k)517 1846 y Fj(m)547
1842 y Ft(j)561 1846 y Fj(m)598 1794 y Fq(V)637 1769
y Fm(\()p Ft(K)r Fm(\))626 1807 y Ft(k)644 1811 y Fj(m)712
1794 y Fr(=)779 1740 y Ft(n)p Fm(!)765 1753 y Fi(X)764
1844 y Ft(j)r Fm(=1)834 1794 y Fq(a)860 1774 y Ft(m)860
1806 y(j)893 1794 y Fq(e)916 1801 y Ft(j)933 1794 y Fq(:)33
b Fr(\(5\))177 1937 y(It)16 b(is)h(easy)f(to)g(see)g(that)g(this)h
(linear)g(transfor-)118 1998 y(mation)g(has)g(the)f(follo)o(wing)j
(prop)q(erties:)191 2106 y({)25 b(it)19 b(shifts)g(the)f(v)o(ector)f
Fq(A)h Fr(along)i(the)d(plane)240 2166 y(parallel)h(to)e
Fp(K)p Fr(.)21 b(\()p Fn(So)c Fq(A)f Fn(and)h Fq(A)823
2148 y Ft(K)r Fm(+1)919 2166 y Fn(c)n(orr)n(e-)240 2226
y(sp)n(ond)g(to)h(e)n(qual)g(tensor)g(expr)n(essions)p
Fr(\);)191 2326 y({)25 b(v)o(ector)13 b Fq(A)421 2308
y Ft(K)r Fm(+1)514 2326 y Fr(has)i(zero)f(pro)s(jections)h(on)o(to)240
2386 y(unit)i(v)o(ectors)f Fq(e)532 2393 y Ft(j)566 2386
y Fr(with)h Fq(j)g Fr(=)c Fq(j)785 2393 y Fm(1)805 2386
y Fq(;)8 b(:)g(:)g(:)g(;)g(j)935 2393 y Ft(K)985 2386
y Fr(;)191 2486 y({)25 b Fq(A)277 2468 y Ft(K)r Fm(+1)370
2486 y Fr(=)13 b(0)66 b(i\013)g Fq(A)13 b Fl(2)h Fp(K)p
Fq(:)177 2594 y Fr(Th)o(us,)i(w)o(e)g(conclude)h(that)f
Fl(8)p Fq(A)c Fl(2)i Fp(R)859 2576 y Ft(n)p Fm(!)892
2594 y Fr(:)191 2702 y Fl(\017)24 b Fq(A)277 2684 y Ft(K)r
Fm(+1)370 2702 y Fr(=)13 b Fq(A)458 2684 y Fg(0)470 2679
y Ft(K)r Fm(+1)565 2702 y Fr(i\013)k(\()p Fq(A)11 b Fl(\000)g
Fq(A)777 2684 y Fg(0)788 2702 y Fr(\))j Fl(2)g Fp(K)p
Fr(;)1156 154 y Fl(\017)25 b Fr(transformation)13 b(\(5\))g(do)q(esn't)
f(shift)g Fq(A)1915 136 y Ft(K)r Fm(+1)1994 154 y Fr(;)1156
250 y Fl(\017)25 b Fr(image)32 b(of)g(the)g(transformation)i(\(5\))e
(is)1206 310 y(some)23 b(linear)h(subspace)f Fp(L)g Fr(with)h(dimen-)
1206 370 y(sion)17 b(\()p Fq(n)p Fr(!)11 b Fl(\000)g
Fq(K)t Fr(\))16 b(and)h Fp(L)11 b Fl(\\)g Fp(K)j Fr(=)f
Fl(f)p Fr(0)p Fl(g)1876 352 y Fm(4)1896 370 y Fr(;)1156
467 y Fl(\017)25 b Fr(ev)o(ery)18 b(v)o(ector)h(in)i
Fp(L)f Fr(has)h(not)g(more)e(than)1206 527 y(\()p Fq(n)p
Fr(!)10 b Fl(\000)h Fq(K)t Fr(\))16 b(nonzero)h(comp)q(onen)o(ts.)1143
620 y Fp(W)-5 b(e)24 b(de\014ne)f(the)h(subspace)g(L)g(as)g(a)g(set)
1084 680 y(of)32 b(canonical)h(representativ)n(es)e(for)h(S-I-)1084
740 y(D)20 b(equiv)m(alence)g(classes)h(under)f(consider-)1084
800 y(ation)p Fr(.)1084 964 y Fy(4)81 b(Multiplication)1084
1074 y Fr(If)25 b(a)i(tensor)f(expression)h(is)f(obtained)i(b)o(y)d
(the)1084 1134 y(m)o(ultiplication)e(of)f(basic)f(tensors)h(then)f(w)o
(e)f(di-)1084 1194 y(rectly)14 b(generate)g(the)g(set)g(of)h
Fp(S-I-D)e Fr(relations)j(as)1084 1254 y(a)g Fn(pr)n(o)n(duct)g
Fr(of)g(basic)h(ones.)1143 1314 y(Then)22 b(the)g(expression)h(is)g
(elab)q(orated,)i(tak-)1084 1375 y(ing)d(in)o(to)g(accoun)o(t)f
(additional)j(relations)f(origi-)1084 1435 y(nated)f(from)f(the)h(m)o
(ultiplication)i(rule)e(\(in)g(our)1084 1495 y(case)c(from)g(the)g
(comm)o(utativit)o(y\).)27 b(Let)19 b(us)f(con-)1084
1555 y(sider)g(a)g(tensor)g Fq(tt)f Fr(with)i(t)o(w)o(o)f(indices)g(as)
h(an)f(ex-)1084 1615 y(ample.)42 b(If)22 b(w)o(e)h(m)o(ultiply)h(it)f
(b)o(y)g(itself,)i(sa)o(y)e(as)1084 1676 y Fq(tt)p Fr(\()p
Fq(i;)8 b(j)s Fr(\))r Fl(\003)r Fq(tt)p Fr(\()p Fq(k)r(;)g(l)q
Fr(\),)h(the)j(additional)j(symmetry)10 b(ap-)1084 1736
y(p)q(ears:)1187 1827 y Fq(tt)p Fr(\()p Fq(i;)e(j)s Fr(\))i
Fl(\003)h Fq(tt)p Fr(\()p Fq(k)r(;)d(l)q Fr(\))k(=)i
Fq(tt)p Fr(\()p Fq(k)r(;)8 b(l)q Fr(\))i Fl(\003)h Fq(tt)p
Fr(\()p Fq(i;)d(j)s Fr(\))p Fq(:)1143 1919 y Fr(W)l(e)23
b(consider)h(all)h(suc)o(h)f(p)q(erm)o(utations)g(and)1084
1979 y(add)17 b(the)e(corresp)q(onding)k(elemen)o(ts)c(to)i(the)f
Fp(S-I-)1084 2039 y(D)21 b Fr(relations.)36 b(Then)21
b(w)o(e)g(p)q(erform)g(the)f("trian-)1084 2099 y(gle")c(pro)q(cedure)g
(\(3,4\))f(to)h(construct)f(the)h(full)g Fp(K)1084 2159
y Fr(subspace,)g(and)g(use)g(the)f(pro)q(cedure)h(\(5\))g(for)g(the)
1084 2220 y(canonical)i(represen)o(tativ)o(e)d(calculation)1839
2202 y Fm(5)1861 2220 y Fr(.)p 1084 2258 370 2 v 1140
2289 a Fh(4)1158 2304 y Fv(Here)g FA(f)p Fv(0)p FA(g)d
Fv(means)i(that)f(this)h(set)g(has)g(a)e(single)j(p)q(oin)o(t)1084
2354 y(-)e(zero)i(v)o(ector.)1140 2388 y Fh(5)1158 2403
y Fv(It)k(is)g(clear)h(ho)o(w)e(to)h(generalize)i(the)e(algorithm)g(to)
1084 2453 y(the)12 b(case)g(of)f(a)g(noncomm)o(utativ)o(e)g(\014nite)h
(algebra)g(of)f(basic)1084 2503 y(tensors.)25 b(In)16
b(suc)o(h)g(cases,)i(more)d(complicated)j(relations)1084
2553 y(will)c(app)q(ear)f(instead)h(of)e(the)h(simple)h(symmetry)f
(written)1084 2603 y(ab)q(o)o(v)o(e.)37 b(Ho)o(w)o(ev)o(er,)22
b(in)f(an)o(y)f(case)h(they)g(will)h(b)q(e)f(linear)1084
2652 y(iden)o(tities)c(whic)o(h)f(can)f(b)q(e)g(elab)q(orated)h
(naturally)f(in)g(the)1084 2702 y(framew)o(ork)e(of)g(our)h(approac)o
(h.)1051 2827 y Fr(5)p eop
%%Page: 6 6
6 5 bop 118 154 a Fy(5)81 b(Some)26 b(de\014nitions)118
263 y Fr(Let)14 b(us)g(giv)o(e)g(some)f(de\014nitions)j(whic)o(h)e(w)o
(e)f(use)h(in)118 323 y(the)i(follo)o(wing.)178 425 y(1.)24
b Fp(K)p Fr(-)p Fn(b)n(asis)19 b Fr(is)i(a)f(general)g(name)g(for)g
("trian-)240 485 y(gle")f(set)f(of)g(linear)i(indep)q(enden)o(t)e(v)o
(ectors)240 545 y Fq(V)279 520 y Fm(\()p Fc(K)p Fm(\))268
558 y Ft(k)357 545 y Fr(\()p Fq(k)e Fr(=)d Fq(k)493 552
y Fm(1)514 545 y Fq(;)8 b(:)g(:)g(:)f(;)h(k)648 552 y
Ft(K)682 545 y Fr(\).)178 647 y(2.)24 b Fp(K)284 654
y Fc(0)306 647 y Fr(-)p Fn(b)n(asis)12 b Fr(is)h(the)e
Fp(K)p Fr(-basis)j(for)e(a)g(basic)h(ten-)240 707 y(sor)h(considered)f
(as)h(a)g(separate)f(tensor)h(ex-)240 767 y(pression,)k(taking)f(in)o
(to)g(accoun)o(t)g(its)g(sym-)240 828 y(metries)f(and)h(linear)g(iden)o
(tities)h(only)l(.)178 929 y(3.)24 b Fp(K)284 936 y Fc(M)324
929 y Fr(-)p Fn(b)n(asis)14 b Fr(is)h(the)f Fp(K)p Fr(-)p
Fn(b)n(asis)g Fr(of)g(the)g(expres-)240 990 y(sion)20
b(under)e(consideration)i(whic)o(h)f(arises)240 1050
y(from)14 b Fp(K)397 1057 y Fc(0)419 1050 y Fr(-)p Fn(b)n(ases)g
Fr(of)h(basic)f(tensors)h(and)f(re-)240 1110 y(lations)21
b(generated)d(b)o(y)g(their)h(m)o(ultiplica-)240 1170
y(tion.)178 1272 y(4.)24 b Fp(K)284 1279 y Fc(D)317 1272
y Fr(-)p Fn(b)n(asis)11 b Fr(is)h(the)g(completion)g(of)f(the)h
Fp(K)986 1279 y Fc(M)1026 1272 y Fr(-)240 1332 y Fn(b)n(asis)28
b Fr(up)h(to)h(the)e(full)i Fp(K)p Fr(-)p Fn(b)n(asis)e
Fr(of)h(the)240 1392 y(expression)e(under)f(consideration,)k(tak-)240
1452 y(ing)19 b(in)o(to)f(accoun)o(t)f(relations)j(whic)o(h)d(arise)240
1513 y(from)32 b(renamings)i(of)f(dumm)o(y)e(indices.)240
1573 y(W)l(e)23 b(shall)i(also)g(call)g(this)f(basis)h(the)e
Fn(ful)r(l)240 1633 y Fp(K)p Fr(-)p Fn(b)n(asis)p Fr(.)178
1735 y(5.)h(T)l(o)12 b Fn(sieve)h Fr(some)f Fp(S)f Fl(\000)g
Fp(I)g Fl(\000)g Fp(D)g Fr(v)o(ector)g(means)240 1795
y(to)j(do)f(the)g(step)g Fq(m)g Fr(of)g(the)g("triangle")j(pro-)240
1855 y(cedure)g(\(3\).)178 1957 y(6.)24 b(T)l(o)g Fn(r)n(e)n(arr)n
(ange)f Fr(some)h Fp(S)11 b Fl(\000)g Fp(I)g Fl(\000)f
Fp(D)24 b Fr(v)o(ector)240 2017 y(means)16 b(to)g(do)g(the)g(step)g
Fq(m)f Fr(of)h(the)g("trian-)240 2077 y(gle")h(pro)q(cedure)g(\(4\).)
178 2179 y(7.)24 b(T)l(o)c Fn(sieve)h Fr(some)e(v)o(ector)g
Fq(A)g Fr(b)o(y)g(a)g Fp(K)p Fr(-)p Fn(b)n(asis)240 2239
y Fr(means)31 b(to)h(apply)f(the)g(transformation)240
2299 y(\(5\).)118 2466 y Fy(6)81 b(Algorithm)118 2575
y Fr(There)11 b(are)h(t)o(w)o(o)f(sets)h(of)g(op)q(erations.)21
b(One)12 b(is)g(p)q(er-)118 2635 y(formed)i(due)f(to)i(the)e(in)o(tro)q
(duction)j(of)e(new)g(basic)118 2696 y(tensors,)g(and)g(the)f(result)h
(of)f(these)g(op)q(erations)i(is)1084 154 y(the)i(construction)i(of)f
(the)f(new)h Fp(K)1738 161 y Fc(0)1760 154 y Fr(-bases.)27
b(An-)1084 214 y(other)12 b(set)g(of)h(op)q(erations)h(is)f(connected)f
(with)h(the)1084 274 y(simpli\014cation)19 b(of)d(tensor)h(expressions)
g(itself.)1143 334 y(The)g(starting)h(pro)q(cedure)f(for)g(the)g
(construc-)1084 394 y(tion)26 b(of)g Fp(K)1302 401 y
Fc(0)1325 394 y Fr(-bases)g(is)g Fq(T)7 b(S)s(Y)k(M)31
b Fr(\(section)26 b(8.4\),)1084 455 y(and)17 b(the)f(algorithm)i(is:)
1143 569 y(1.)25 b(Generate)e(full)h(list)h(of)e Fp(S-I)g
Fr(v)o(ectors)g(\(1\):)1206 629 y Fq(L)1239 636 y Fc(S)p
Fg(\000)p Fc(I)1320 629 y Fr(=)14 b Fl(f)p Fq(v)r Fl(g)p
Fr(.)1143 731 y(2.)25 b(Let)17 b Fp(K)d Fr(=)h Fp(K)1449
738 y Fc(0)1488 731 y Fr(where)i Fp(K)1674 738 y Fc(0)1713
731 y Fr(is)h(initial)h(basis)1206 791 y(\(ma)o(y)c(b)q(e)i(empt)o
(y\).)1143 892 y(3.)25 b(If)15 b(the)h(list)i Fq(L)1453
899 y Fc(S)p Fg(\000)p Fc(I)1537 892 y Fr(is)f(empt)o(y)e(then)h
(\014nish.)1143 994 y(4.)25 b(T)l(ak)o(e)30 b(the)h(next)f(v)o(ector)g
Fq(v)i Fr(from)e Fq(L)1940 1001 y Fc(S)p Fg(\000)p Fc(I)1206
1054 y Fr(and)21 b(delete)g(it)h(from)f(this)h(list:)32
b Fq(L)1868 1061 y Fc(S)p Fg(\000)p Fc(I)1958 1054 y
Fl(!)1206 1115 y Fq(L)1239 1122 y Fc(S)p Fg(\000)p Fc(I)1306
1115 y Fq(=)p Fl(f)p Fq(v)r Fl(g)p Fr(.)1143 1216 y(5.)25
b(Siev)o(e)j(the)h(v)o(ector)f Fq(v)j Fr(through)f(the)f
Fp(K)p Fr(-)1206 1276 y(basis)d(\(transformation)i(\(3\),)f(pro)q
(cedure)1206 1337 y Fq(siev)r(e)p 1321 1337 15 2 v 15
w(pv)r Fr(,)d(section)f(7.7\).)41 b(The)23 b(result)g(is)1206
1397 y(a)16 b(new)h(v)o(ector)e Fq(v)1519 1379 y Fg(0)1530
1397 y Fr(.)1143 1499 y(6.)25 b(If)16 b Fq(v)1281 1480
y Fg(0)1307 1499 y Fl(6)p Fr(=)e(0)k(then)e(insert)h
Fq(v)1674 1480 y Fg(0)1702 1499 y Fr(in)h(the)e Fp(K)p
Fr(-basis)1206 1559 y(and)21 b(rearrange)h(the)f(basis)i(\(transforma-)
1206 1619 y(tion)c(\(4\),)f(pro)q(cedure)g Fq(inser)q(t)p
1766 1619 V 17 w(pv)r Fr(,)f(section)1206 1679 y(7.7\).)1143
1781 y(7.)25 b(Rep)q(eat)16 b(from)g(step)g(3.)1143 1895
y(All)i Fp(K)1268 1902 y Fc(0)1290 1895 y Fr(-bases)g(are)f(stored.)25
b(There)17 b(is)h(a)g(p)q(os-)1084 1955 y(sibilit)o(y)j(to)e(delete)g
(an)o(y)g(basic)h(tensor)f(from)g(the)1084 2015 y(list)g(of)f(tensors)g
(and)g(so)h(to)f(delete)f(its)i Fp(K)1866 2022 y Fc(0)1888
2015 y Fr(-basis)1084 2076 y(\(section)e(8.3\).)1143
2136 y(The)f(algorithm)i(of)f(simpli\014cation)i(of)e(tensor)1084
2196 y(expressions)g(is:)1143 2298 y(1.)25 b(If)14 b(there)h(is)h(no)g
(m)o(ultiplication)i(of)d(tensors)1206 2358 y(or)i(there)g(are)h(no)f
(new)h Fp(S-I)f Fr(relations)i(due)1206 2418 y(to)c(their)g(m)o
(ultiplication)i(then)d(go)i(to)f(step)1206 2478 y(`)p
Fn(4)p Fr('.)1143 2580 y(2.)25 b(Expand)c(the)f Fp(K)1523
2587 y Fc(0)1546 2580 y Fr(-bases)h(in)o(v)o(olv)o(ed)g(up)g(to)1206
2640 y(the)13 b(necessary)h(rank)g(of)g(the)f(p)q(erm)o(utation)1051
2827 y(6)p eop
%%Page: 7 7
7 6 bop 240 154 a Fr(group)23 b(corresp)q(onding)i(to)d(the)g(m)o
(ultipli-)240 214 y(cation)f(of)f(basic)g(tensors)h(in)f(the)g(expres-)
240 274 y(sion)f(elab)q(orated)h(\(pro)q(cedure)d Fq(t)p
851 274 15 2 v 18 w(upr)q(ig)r(ht)p Fr(,)240 334 y(section)i(7.5\),)h
(and)f(collect)g(the)g(obtained)240 394 y(relations)i(as)e(the)g
(initial)j Fp(K)p Fr(-basis)e(of)f(the)240 455 y(considered)e
(expression.)178 556 y(3.)24 b(Complete)i(the)f Fp(K)p
Fr(-basis)i(b)o(y)e(additional)240 616 y(v)o(ectors)i(whic)o(h)g(arise)
h(from)f(the)h(m)o(ulti-)240 677 y(plication)23 b(\(see)d(section)i
(4\))f(b)o(y)f(the)g(algo-)240 737 y(rithm)14 b(of)g(the)f
Fp(K)p Fr(-basis)i(construction)g(\(see)240 797 y(ab)q(o)o(v)o(e\).)20
b(The)12 b(result)h(is)g(the)f Fp(K)812 804 y Fc(M)852
797 y Fr(-basis)i(for)240 857 y(the)i(expression)h(under)f
(simpli\014cation.)178 959 y(4.)24 b Fn(Dummies.)56 b
Fr(Complete)28 b(the)g Fp(K)882 966 y Fc(M)922 959 y
Fr(-basis)240 1019 y(b)o(y)19 b(v)o(ectors)g(corresp)q(onding)j(to)e
(the)f(rela-)240 1079 y(tions)26 b(whic)o(h)f(arise)g(from)f(renamings)
i(of)240 1139 y(dumm)o(y)20 b(indices)i(\(if)g(they)f(are)g(presen)o
(t\).)240 1200 y(The)g(result)h(is)g(the)f Fp(K)673 1207
y Fc(D)706 1200 y Fr(-basis)i(-)e(the)g(full)240 1260
y Fp(K)p Fr(-basis)d(for)f(the)f(expression)h(under)g(sim-)240
1320 y(pli\014cation.)178 1422 y(5.)24 b(Siev)o(e)j(the)g(tensor)g
(expression)h(through)240 1482 y(the)42 b Fp(K)394 1489
y Fc(D)427 1482 y Fr(-basis)i(\(transformation)g(\(5\),)240
1542 y(pro)q(cedure)22 b Fq(siev)r(e)p 587 1542 V 16
w(t)p Fr(,)h(section)g(7.7\).)39 b(The)240 1602 y(result)12
b(is)h(the)f(construction)h(of)f(the)f(canon-)240 1663
y(ical)17 b(represen)o(tativ)o(e)f(for)g(the)g(expression.)177
1764 y(An)o(y)23 b Fp(K)333 1771 y Fc(M)397 1764 y Fr(and)i
Fp(K)544 1771 y Fc(D)577 1764 y Fr(-bases)g(are)f(not)g(stored)118
1824 y(and)13 b(are)g(constructed)f(eac)o(h)g(time)h(an)g(expression)
118 1885 y(is)k(simpli\014ed.)118 2051 y Fy(7)81 b(Program)27
b(description)118 2161 y Fr(A)l(TENSOR)19 b(program)h(consists)g(of)f
(the)g(follo)o(w-)118 2221 y(ing)e(blo)q(c)o(ks:)191
2335 y Fl(\017)24 b Fr(in)o(terface)16 b(with)h(REDUCE)g(system;)191
2437 y Fl(\017)24 b Fr(generator)17 b(of)f(p)q(erm)o(utations;)191
2538 y Fl(\017)24 b Fr(p-v)o(ector)16 b(arithmetics;)191
2640 y Fl(\017)24 b Fr(tensor)17 b(arithmetics;)1156
154 y Fl(\017)25 b Fr(generator)j(of)f(the)g Fn(multiplic)n(ation)i
Fr(rela-)1206 214 y(tions;)1156 315 y Fl(\017)c Fr(generator)16
b(of)h(the)f Fn(dummy)g Fr(relations;)1156 417 y Fl(\017)25
b Fr(utilities)18 b(to)f(w)o(ork)f(with)h Fp(K)p Fr(-bases.)1084
562 y Fd(7.1)66 b(In)n(terface)22 b(with)h(REDUCE)1084
654 y Fr(In)o(terface)14 b(with)h(REDUCE)h(is)g(implemen)o(ted)e(b)o(y)
1084 714 y(de\014ning)21 b(of)g(a)g(domain)h([10)q(].)34
b(This)22 b(is)f(a)g(natu-)1084 774 y(ral)f(w)o(a)o(y)e(to)i(implemen)o
(t)e(a)i(new)e(ob)s(ject)h(in)h(RE-)1084 835 y(DUCE.)g(W)l(e)f(should)j
(de\014ne)d(the)h(follo)o(wing)j(set)1084 895 y(of)16
b(pro)q(cedures:)p 1084 969 906 2 v 1083 1026 2 57 v
1109 1009 a Fx(Op)q(eration)p 1334 1026 V 49 w(In)o(ternal)f(pro)q(c.)p
1655 1026 V 50 w(Commen)o(t)p 1988 1026 V 1084 1027 906
2 v 1083 1084 2 57 v 1109 1067 a(min)o(us)p 1334 1084
V 131 w(t)p 1380 1067 14 2 v 16 w(min)o(us)p 1655 1084
2 57 v 169 w(Unary)g(min)o(us)p 1988 1084 V 1083 1140
V 1109 1123 a(plus)p 1334 1140 V 169 w(t)p 1380 1123
14 2 v 16 w(plus)p 1655 1140 2 57 v 207 w(Summ)p 1988
1140 V 1083 1197 V 1109 1180 a(times)p 1334 1197 V 142
w(t)p 1380 1180 14 2 v 16 w(times)p 1655 1197 2 57 v
180 w(Pro)q(duct)p 1988 1197 V 1083 1253 V 1109 1236
a(di\013erence)p 1334 1253 V 62 w(t)p 1380 1236 14 2
v 16 w(di\013erence)p 1655 1253 2 57 v 100 w(Substruction)p
1988 1253 V 1083 1310 V 1109 1293 a(zerop)p 1334 1310
V 144 w(t)p 1380 1293 14 2 v 16 w(zerop)p 1655 1310 2
57 v 182 w(Do)q(es)g(tensor)p 1988 1310 V 1083 1366 V
1334 1366 V 1655 1366 V 1681 1349 a(equal)g(zero?)p 1988
1366 V 1084 1368 906 2 v 1083 1424 2 57 v 1109 1407 a(prepfn)p
1334 1424 V 123 w(t)p 1380 1407 14 2 v 16 w(prep)p 1655
1424 2 57 v 1988 1424 V 1083 1481 V 1109 1464 a(prifn)p
1334 1481 V 155 w(t)p 1380 1464 14 2 v 16 w(pri)p 1655
1481 2 57 v 232 w(Prin)o(t)f(function)p 1988 1481 V 1083
1537 V 1109 1520 a(in)o(tequiv)p 1334 1537 V 89 w(tin)o(tequiv)p
1655 1537 V 143 w(Is)h(tensor)g(equi-)p 1988 1537 V 1083
1594 V 1334 1594 V 1655 1594 V 1681 1577 a(v)m(alen)o(t)g(to)p
1988 1594 V 1083 1650 V 1334 1650 V 1655 1650 V 1681
1633 a(in)o(teger)p 1988 1650 V 1084 1652 906 2 v 1143
1750 a Fr(The)h(follo)o(wing)k(pro)q(cedures)c(m)o(ust)h(b)q(e)f
(de\014ne)1084 1810 y(for)e(completeness)h(but)f(can)h(not)g(b)q(e)g
(used)f(as)h(op-)1084 1870 y(erations)j(for)g(tensors.)25
b(These)17 b(pro)q(cedures)g(pro-)1084 1930 y(duce)f(an)g(error)h
(message)f(if)h(called.)1051 2827 y(7)p eop
%%Page: 8 8
8 7 bop 118 105 918 2 v 117 162 2 57 v 143 145 a Fx(Op)q(eration)p
368 162 V 50 w(In)o(ternal)15 b(pro)q(c.)p 690 162 V
49 w(Commen)o(t)p 1035 162 V 118 164 918 2 v 117 220
2 57 v 143 203 a(expt)p 368 220 V 164 w(t)p 415 203 14
2 v 16 w(expt)p 690 220 2 57 v 200 w(P)o(o)o(w)o(er)p
1035 220 V 117 276 V 143 260 a(quotien)o(t)p 368 276
V 86 w(t)p 415 260 14 2 v 16 w(quotien)o(t)p 690 276
2 57 v 1035 276 V 117 333 V 143 316 a(divide)p 368 333
V 131 w(t)p 415 316 14 2 v 16 w(divide)p 690 333 2 57
v 1035 333 V 117 389 V 143 372 a(gcd)p 368 389 V 183
w(t)p 415 372 14 2 v 16 w(gcd)p 690 389 2 57 v 219 w(Great)f(common)p
1035 389 V 117 446 V 368 446 V 690 446 V 715 429 a(divider)p
1035 446 V 117 502 V 143 485 a(min)o(usp)p 368 502 V
107 w(t)p 415 485 14 2 v 16 w(min)o(usp)p 690 502 2 57
v 143 w(Is)i(tensor)p 1035 502 V 117 559 V 368 559 V
690 559 V 715 542 a(negativ)o(e?)p 1035 559 V 117 615
V 143 598 a(onep)p 368 615 V 158 w(t)p 415 598 14 2 v
16 w(onep)p 690 615 2 57 v 194 w(Do)q(es)f(tensor)p 1035
615 V 117 672 V 368 672 V 690 672 V 715 655 a(equal)g(1?)p
1035 672 V 117 728 V 143 711 a(i2d)p 368 728 V 190 w(i2tensor)p
690 728 V 163 w(T)l(ransform)p 1035 728 V 117 785 V 368
785 V 690 785 V 715 768 a(in)o(teger)p 1035 785 V 117
841 V 368 841 V 690 841 V 715 824 a(to)g(tensor)p 1035
841 V 118 843 918 2 v 177 937 a(W)l(e)59 b(also)f(de\014ne)i(the)f
(domain)e(name)118 994 y(\()p Fu(T)6 b(E)s(N)f(S)s(O)q(R)p
Fx(\))12 b(and)k(the)f(tag)f(\(!)5 b(:)g Fu(T)h(E)s(N)f(S)s(O)q(R)p
Fx(\).)177 1050 y(T)l(o)21 b(complete)f(the)h(in)o(terface)g(with)g
(REDUCE,)118 1107 y(w)o(e)h(add)h(the)f(tag)g(of)g(the)g(tensor)g
(domain)f(to)h(the)118 1163 y(global)14 b(v)m(ariable)h
Fu(D)q(O)q(M)5 b(AI)t(N)g(LI)t(S)s(T)h Fx(!)-8 b Fs(\003)177
1220 y Fx(This)17 b(metho)q(d)g(supp)q(orts)h(the)g(input)g(pro)q(cess)
g(of)118 1276 y(tensor)11 b(expressions)h(and)g(pro)o(vides)f(calls)f
(of)i(the)f(cor-)118 1333 y(resp)q(onding)16 b(in)o(ternal)e(pro)q
(cedures)i(automatical)o(ly)l(.)118 1471 y Fd(7.2)66
b(P)n(erm)n(utations)118 1557 y Fx(This)15 b(blo)q(c)o(k)h(implemen)o
(ts)d(generation)i(of)g(p)q(erm)o(uta-)118 1613 y(tions)f(of)g
Fu(N)19 b Fx(order)14 b(and)g(includes)h(some)e(pro)q(cedures)118
1669 y(for)20 b(w)o(orking)g(with)g(them.)36 b(All)20
b(pro)q(cedures)i(w)o(ork)118 1726 y(with)15 b(the)g
Fz(p)n(acke)n(d)g Fx(and)h(the)f Fz(unp)n(acke)n(d)g
Fx(form)f(of)h(p)q(er-)118 1782 y(m)o(utations.)177 1839
y Fz(Unp)n(acke)n(d)i Fx(form)f(of)h(a)h(p)q(erm)o(utation)e(p)i(is)f
(a)g(list)118 1895 y(of)e(n)o(um)o(b)q(ers)339 1879 y
Fm(6)358 1895 y Fx(:)221 1996 y Fu(p)e Fx(=)g(\()p Fu(d)347
2003 y Fm(1)379 1996 y Fu(d)403 2003 y Fm(2)435 1996
y Fu(:::)e(d)509 2003 y Ft(k)530 1996 y Fx(\))p Fu(;)52
b Fx(1)13 b Fs(\024)g Fu(d)721 2003 y Ft(i)747 1996 y
Fs(\024)g Fu(k)h Fs(\024)f Fx(99)p Fu(:)177 2097 y Fz(Packe)n(d)i
Fx(form)e(is)i(the)g(corresp)q(onding)h(n)o(um)o(b)q(er:)447
2198 y Fu(p)d Fx(=)g Fu(d)555 2205 y Fm(1)574 2198 y
Fu(d)598 2205 y Fm(2)618 2198 y Fu(:::d)681 2205 y Ft(k)700
2198 y Fu(:)177 2299 y Fx(F)l(or)i(example,)206 2400
y Fu(p)e Fx(=)g(\(1)f(2)g(3)h(4)f(5\))90 b(and)h Fu(p)13
b Fx(=)g(12345)p Fu(:)177 2501 y Fx(The)20 b(transformati)o(on)c(of)j
(a)g(p)q(erm)o(utation)e(from)118 2558 y(one)26 b(form)e(to)h(another)h
(is)f(made)g(automaticall)o(y)l(.)118 2614 y(The)12 b(pac)o(k)o(ed)f
(form)e(is)i(more)f(economic)g(with)h(resp)q(ect)p 118
2657 370 2 v 174 2687 a Fh(6)193 2702 y Fv(see)k(section)h(9)d(for)h
(details.)1084 154 y Fx(to)c(computer)g(memory)l(,)f(but)h(requires)h
(more)e(time)g(to)1084 210 y(pro)q(ceed.)19 b(There)12
b(is)f(the)h(global)e(v)m(ariable)h(!)-5 b Fs(\003)g
Fu(ppack)q(ed)p Fx(.)1084 267 y(If)16 b(it)f(is)h Fu(T)22
b Fx(\(the)15 b(default)h(v)m(alue\))g(then)g(all)f(p)q(erm)o(uta-)1084
323 y(tions)h(are)h(pac)o(k)o(ed;)h(if)f Fu(N)5 b(I)t(L)16
b Fx(then)i(they)f(are)g(stored)1084 379 y(in)e(the)g(unpac)o(k)o(ed)h
(form.)1143 436 y(W)l(e)e(use)h(the)g(w)o(ell)f(kno)o(wn)g(algorithm)e
(for)i(gener-)1084 492 y(ation)h(of)h(p)q(erm)o(utations)e([12].)23
b(W)l(e)16 b(implemen)o(t)e(the)1084 549 y(follo)o(wing)f(pro)q
(cedures:)1159 642 y Fs(\017)24 b Fu(mk)q(unitp)p Fx(\()p
Fu(n)p Fx(\))12 b({)g(generates)g(the)h(unit)f(elemen)o(t)1206
699 y(of)i Fu(S)1285 706 y Ft(n)1309 699 y Fx(;)1159
789 y Fs(\017)24 b Fu(pf)5 b(ind)p Fx(\()p Fu(p)1364
796 y Fm(1)1383 789 y Fu(;)j(p)1427 796 y Fm(2)1445 789
y Fx(\))15 b({)h(returns)f Fu(x)g Fx(suc)o(h)h(that)f
Fu(p)1940 796 y Fm(2)1973 789 y Fx(=)1206 845 y Fu(x)10
b Fs(\016)g Fu(p)1298 852 y Fm(1)1317 845 y Fx(;)1159
935 y Fs(\017)24 b Fu(pr)q(ev)r Fx(\()p Fu(p)p Fx(\))15
b({)h(returns)g(rev)o(erse)g(p)q(erm)o(utation)f Fu(x)1206
992 y Fx(suc)o(h)g(that)g Fu(x)10 b Fs(\016)g Fu(p)i
Fx(=)h(1;)1159 1082 y Fs(\017)24 b Fu(psig)r(n)p Fx(\()p
Fu(p)p Fx(\))14 b({)g(returns)i(\()p Fs(\000)p Fx(1\))1679
1066 y Ft(k)1699 1082 y Fx(,)f(where)h Fu(k)g Fx(is)f(the)1206
1139 y(n)o(um)o(b)q(er)g(of)h(transp)q(ositions)f(whic)o(h)h(are)g
(nec-)1206 1195 y(essary)g(to)g(apply)h(to)f(the)h(p)q(erm)o(utation)d
(p)j(to)1206 1251 y(get)d(the)i(iden)o(tical)e(p)q(erm)o(utation.)1159
1342 y Fs(\017)24 b Fu(pmul)q(t)p Fx(\()p Fu(p)1367 1349
y Fm(1)1386 1342 y Fu(;)8 b(p)1430 1349 y Fm(2)1448 1342
y Fx(\))17 b({)g(returns)g(the)h(p)q(erm)o(utation)1206
1398 y Fu(x)12 b Fx(=)h Fu(p)1315 1405 y Fm(1)1345 1398
y Fs(\016)d Fu(p)1401 1405 y Fm(2)1420 1398 y Fx(;)1159
1488 y Fs(\017)24 b Fu(pappl)q Fx(\()p Fu(p;)8 b(l)q
Fx(\))13 b({)k(returns)g Fu(l)g Fx(with)f(the)h(elemen)o(ts)1206
1545 y(p)q(erm)o(uted)h(b)o(y)g Fu(p)p Fx(,)h(so)f(that)f
Fu(l)i Fx(is)f(replaced)h(b)o(y)1206 1601 y Fu(p)p Fx(\()p
Fu(l)q Fx(\).)1143 1695 y(There)g(are)h(some)e(utilities)f(to)i(w)o
(ork)f(with)h(p)q(er-)1084 1751 y(m)o(utations:)1159
1844 y({)24 b Fu(pupr)q(ig)r(ht)p Fx(\()p Fu(p;)8 b(d)p
Fx(\))g({)i(extends)i(the)f(p)q(erm)o(utation)1206 1901
y Fu(p)j Fs(2)g Fu(S)1315 1908 y Ft(n)1354 1901 y Fx(to)i(the)g(righ)o
(t)f(up)h(to)f(the)h(elemen)o(t)f(of)1206 1957 y Fu(S)1234
1964 y Ft(n)p Fm(+)p Ft(d)1323 1957 y Fx(with)21 b(the)g(iden)o(tical)e
(p)q(erm)o(utation)g(of)1206 2014 y(the)d(extra)h(indices)f(\(this)g
(utilit)o(y)f(is)h(used)h(for)1206 2070 y(the)c(elab)q(oration)f(of)h
(m)o(ultiplicatio)o(n)e(of)i(basic)1206 2127 y(tensors\);)1159
2217 y({)24 b Fu(pupl)q(ef)5 b(t)p Fx(\()p Fu(p;)j(d)p
Fx(\))15 b({)h(extends)i(the)f(p)q(erm)o(utation)1206
2273 y Fu(p)h Fs(2)h Fu(S)1324 2280 y Ft(n)1366 2273
y Fx(to)f(the)h(left)f(up)h(to)f(the)h(elemen)o(t)e(of)1206
2330 y Fu(S)1234 2337 y Ft(n)p Fm(+)p Ft(d)1323 2330
y Fx(with)k(the)g(iden)o(tical)e(p)q(erm)o(utation)g(of)1206
2386 y(the)d(extra)h(indices)f(\(this)g(utilit)o(y)f(is)h(used)h(for)
1206 2443 y(the)c(elab)q(oration)f(of)h(m)o(ultiplicatio)o(n)e(of)i
(basic)1206 2499 y(tensors\);)1159 2589 y({)24 b Fu(pappend)p
Fx(\()p Fu(p)1412 2596 y Fm(1)1431 2589 y Fu(;)8 b(p)1475
2596 y Fm(2)1493 2589 y Fx(\))22 b(-)f(concatenates)h(the)f(p)q(er-)
1206 2646 y(m)o(utation)12 b Fu(p)1424 2653 y Fm(1)1456
2646 y Fs(2)h Fu(S)1527 2653 y Ft(n)1548 2658 y Fk(1)1582
2646 y Fx(with)h(the)h(p)q(erm)o(utation)1206 2702 y
Fu(p)1229 2709 y Fm(2)1261 2702 y Fs(2)e Fu(S)1332 2709
y Ft(n)1353 2714 y Fk(2)1372 2702 y Fx(.)19 b(Returns)12
b(the)g(elemen)o(t)e(of)h Fu(S)1888 2709 y Ft(n)1909
2714 y Fk(1)1927 2709 y Fm(+)p Ft(n)1975 2714 y Fk(2)1995
2702 y Fx(;)1051 2827 y Fr(8)p eop
%%Page: 9 9
9 8 bop 193 154 a Fx({)24 b Fu(pk)q(p)p Fx(\()p Fu(p)p
Fx(\))14 b({)h(pac)o(ks)g(the)g(p)q(erm)o(utation)f Fu(p)p
Fx(;)193 247 y({)24 b Fu(unpk)q(p)p Fx(\()p Fu(p)p Fx(\))15
b({)f(unpac)o(ks)i(the)f(p)q(erm)o(utation)e Fu(p)p Fx(.)118
385 y Fd(7.3)66 b(P-v)n(ectors)118 470 y Fu(P)6 b Fx(-v)o(ectors)21
b(are)f(one)h(of)f(the)h(main)e(ob)s(jects)i(in)f(the)118
527 y(program.)34 b(They)20 b(represen)o(t)h(the)f(v)o(ector)g(in)g
Fo(R)980 510 y Fc(n)1020 527 y Fx({)118 583 y(the)d(group)g(algebra)f
(of)g Fu(S)571 590 y Ft(n)595 583 y Fx(.)25 b(In)17 b(the)g(program)e
(they)118 640 y(are)g(implemen)o(ted)e(as)i(a)g(REDUCE)g(domain)e([10)o
(].)177 696 y(In)o(ternal)i(structure)g(of)g Fu(p)p Fx(-v)o(ector)f
(is:)118 765 y Fu(p)s Fs(\000)s Fu(v)r(ector)h Fx(::=)g(\(!)5
b(:)g Fu(pv)13 b(:)f(p)s Fs(\000)s Fu(l)q(ist)p Fx(\))118
821 y Fu(p)s Fs(\000)s Fu(l)q(ist)i Fx(::=)h Fu(N)5 b(I)t(L)p
Fs(j)p Fx(\()p Fu(coef)g(f)16 b(:)c(per)q(m)p Fx(\))g
Fu(:)h(p)s Fs(\000)s Fu(l)q(ist)118 877 y(coef)5 b(f)20
b Fx(::=)15 b Fu(integ)r(er)177 946 y Fx(All)i(the)h(standard)f(op)q
(erations)g(are)g(de\014ned)i(for)118 1002 y Fu(p)p Fx(-v)o(ectors)c(b)
q(ecause)h(they)f(form)e(a)i(domain.)177 1059 y(The)d(follo)o(wing)e
(pro)q(cedures)i(are)g(used)g(for)g(tensor)118 1115 y
(simpli\014cation:)193 1219 y Fs(\017)24 b Fu(pv)p 289
1219 14 2 v 18 w(sor)q(t)p Fx(\()p Fu(pv)r Fx(\))17 b({)h(sorts)f(the)h
Fu(p)p Fx(-list)f(so)g(that)g(all)240 1275 y(p)q(erm)o(utation)h(will)h
(b)q(e)i(ordered,)g(e.g.)34 b Fu(p)972 1282 y Ft(i)1007
1275 y Fu(>)240 1332 y(p)263 1339 y Ft(j)294 1332 y Fs(8)13
b Fu(i)f(<)h(j)s Fx(;)193 1425 y Fs(\017)24 b Fu(pv)p
289 1425 V 18 w(compr)q(ess)p Fx(\()p Fu(pv)r Fx(\))31
b({)g(remo)o(v)o(es)f(all)h(terms)240 1481 y(with)15
b(zero)g(co)q(e\016cien)o(t;)193 1574 y Fs(\017)24 b
Fu(pv)p 289 1574 V 18 w(r)q(enor)q(m)p Fx(\()p Fu(pv)r
Fx(\))14 b({)g(reduces)i(the)f(\014rst)g(co)q(e\016-)240
1631 y(cien)o(t)g(\(in)g(in)o(teger)f(n)o(um)o(b)q(ers\),)g(i.e.)240
1687 y Fu(pv)29 b Fs(!)f Fu(pv)r(=GC)s(D)q Fx(\()p Fu(c)606
1694 y Fm(1)624 1687 y Fu(;)8 b(c)665 1694 y Fm(2)683
1687 y Fu(;)g(:::)p Fx(\))22 b(where)j Fu(c)944 1694
y Ft(i)982 1687 y Fx(are)240 1744 y(the)15 b(co)q(e\016cien)o(ts.)118
1848 y(Some)24 b(utilities)f(are)h(a)o(v)m(ailable)g(to)g(w)o(ork)g
(with)g Fu(p)p Fx(-)118 1904 y(v)o(ectors:)193 2008 y({)g
Fu(pappl)p 351 2008 V 17 w(pv)r Fx(\()p Fu(p;)8 b(pv)r
Fx(\))23 b({)i(applies)g(the)h(p)q(erm)o(uta-)240 2064
y(tion)14 b Fu(p)i Fx(to)e(the)h Fu(p)p Fx(-v)o(ector)g
Fu(pv)r Fx(.)240 2121 y(Returns)24 b Fu(p)444 2104 y
Fg(0)481 2121 y Fx(=)543 2089 y Fi(P)586 2132 y Ft(i)608
2121 y Fu(c)628 2128 y Ft(i)668 2121 y Fu(pmul)q(t)p
Fx(\()p Fu(p;)8 b(p)873 2128 y Ft(i)885 2121 y Fx(\))23
b(where)240 2177 y Fu(pv)14 b Fx(=)347 2145 y Fi(P)391
2189 y Ft(i)413 2177 y Fu(c)433 2184 y Ft(i)459 2177
y Fu(p)482 2184 y Ft(i)496 2177 y Fx(;)193 2270 y({)24
b Fu(pv)p 289 2270 V 18 w(appl)q(p)p Fx(\()p Fu(pv)r(;)8
b(v)r Fx(\))k({)k(applies)f(the)h Fu(p)p Fx(-v)o(ector)f
Fu(pv)240 2327 y Fx(to)g(the)g(p)q(erm)o(utation)e Fu(p)p
Fx(.)240 2383 y(Returns)24 b Fu(p)444 2367 y Fg(0)481
2383 y Fx(=)543 2351 y Fi(P)586 2395 y Ft(i)608 2383
y Fu(c)628 2390 y Ft(i)668 2383 y Fu(pmul)q(t)p Fx(\()p
Fu(p)829 2390 y Ft(i)842 2383 y Fu(;)8 b(p)p Fx(\))22
b(where)240 2440 y Fu(pv)14 b Fx(=)347 2408 y Fi(P)391
2451 y Ft(i)413 2440 y Fu(c)433 2447 y Ft(i)459 2440
y Fu(p)482 2447 y Ft(i)496 2440 y Fx(;)193 2533 y({)24
b Fu(pv)p 289 2533 V 18 w(upr)q(ig)r(ht)p Fx(\()p Fu(pv)r(;)8
b(d)p Fx(\))13 b(-)j(expands)g(the)g Fu(p)p Fx(-v)o(ector)240
2589 y Fu(pv)h Fx(to)d(the)i(righ)o(t.)240 2646 y(Returns)g
Fu(p)436 2629 y Fg(0)460 2646 y Fx(=)508 2614 y Fi(P)552
2657 y Ft(i)573 2646 y Fu(c)593 2653 y Ft(i)620 2646
y Fu(pupr)q(ig)r(ht)p Fx(\()p Fu(p)837 2653 y Ft(i)849
2646 y Fu(;)8 b(d)p Fx(\))14 b(where)240 2702 y Fu(pv)g
Fx(=)347 2670 y Fi(P)391 2714 y Ft(i)413 2702 y Fu(c)433
2709 y Ft(i)459 2702 y Fu(p)482 2709 y Ft(i)496 2702
y Fx(;)1159 154 y({)24 b Fu(pv)p 1255 154 V 18 w(upl)q(ef)5
b(t)p Fx(\()p Fu(pv)r(;)j(d)p Fx(\))g(-)i(extends)h(the)f
Fu(p)p Fx(-v)o(ector)f Fu(pv)1206 210 y Fx(to)14 b(the)i(left.)1206
267 y(Returns)j Fu(p)1405 250 y Fg(0)1435 267 y Fx(=)1488
234 y Fi(P)1532 278 y Ft(i)1554 267 y Fu(c)1574 274 y
Ft(i)1606 267 y Fu(pupl)q(ef)5 b(t)p Fx(\()p Fu(p)1798
274 y Ft(i)1811 267 y Fu(;)j(d)p Fx(\))18 b(where)1206
323 y Fu(pv)c Fx(=)1313 291 y Fi(P)1357 334 y Ft(i)1378
323 y Fu(c)1398 330 y Ft(i)1425 323 y Fu(p)1448 330 y
Ft(i)1462 323 y Fx(.)1084 460 y Fd(7.4)66 b(T)-6 b(ensors)1084
546 y Fx(T)l(ensors)18 b(are)g(the)h(main)e(ob)s(jects)h(in)h(the)f
(program.)1084 602 y(They)e(represen)o(t)f(tensor)g(expressions.)21
b(In)16 b(the)g(pro-)1084 658 y(gram)c(they)i(are)g(implemen)o(ted)d
(as)j(a)g(REDUCE)g(do-)1084 715 y(main)f([10)o(].)1143
771 y(The)i(in)o(ternal)f(structure)h(of)g(a)g(tensor)g(is:)1084
851 y Fu(tensor)i Fx(::=)e(\(!)5 b(:)g Fu(tensor)13 b(i)s
Fs(\000)s Fu(tensor)1685 858 y Fm(1)1717 851 y Fu(:::)25
b(i)s Fs(\000)s Fu(tensor)1966 858 y Ft(k)1987 851 y
Fx(\))1084 908 y Fu(i)s Fs(\000)s Fu(tensor)16 b Fx(::=)f(\()p
Fu(t)s Fs(\000)s Fu(header)25 b(t)s Fs(\000)s Fu(l)q(ist)p
Fx(\))1084 964 y Fu(t)s Fs(\000)s Fu(l)q(ist)15 b Fx(::=)f
Fu(N)5 b(I)t(L)12 b Fs(j)g Fu(p)s Fs(\000)s Fu(l)q(ist)g(:)g(t)s
Fs(\000)s Fu(l)q(ist)1084 1021 y(t)s Fs(\000)s Fu(header)k
Fx(::=)e(\()p Fu(t)s Fs(\000)s Fu(name)26 b(i)s Fs(\000)s
Fu(l)q(ist)p Fx(\))1084 1077 y Fu(t)s Fs(\000)s Fu(name)15
b Fx(::=)g(\()p Fu(t)1378 1084 y Fm(1)1423 1077 y Fu(t)1439
1084 y Fm(2)1484 1077 y Fu(:::)24 b(t)1563 1084 y Ft(k)1585
1077 y Fx(\))1084 1134 y Fu(i)s Fs(\000)s Fu(l)q(ist)14
b Fx(::=)h(\()p Fu(i)1333 1141 y Fm(1)1377 1134 y Fu(i)1393
1141 y Fm(2)1437 1134 y Fu(:::)25 b(i)1517 1141 y Ft(l)1529
1134 y Fx(\))1084 1202 y(where)19 b Fu(t)1235 1209 y
Fm(1)1255 1202 y Fu(;)8 b(t)1292 1209 y Fm(2)1311 1202
y Fu(;)g(:::;)g(t)1408 1209 y Ft(k)1446 1202 y Fx(are)19
b(basic)f(tensors)h(iden)o(ti\014ers,)1084 1258 y(and)c
Fu(i)1188 1265 y Fm(1)1208 1258 y Fu(;)8 b(i)1245 1265
y Fm(2)1263 1258 y Fu(;)g(:::;)g(i)1360 1265 y Ft(l)1385
1258 y Fx(are)15 b(indices)g(\(iden)o(ti\014ers\).)1143
1338 y(Let)20 b(us)g(consider)h(an)f(example)f(tensor)g(expres-)1084
1395 y(sion)e(and)h(its)f(represen)o(tation)g(in)h(the)g(in)o(ternal)f
(no-)1084 1451 y(tations.)1143 1508 y(Let)d Fu(tt)p Fx(\()p
Fu(i;)8 b(j)s Fx(\))13 b(b)q(e)i(a)f(tensor)g(of)f(second)i(order.)20
b(The)1084 1564 y(in)o(ternal)14 b(represen)o(tation)g(is)1238
1656 y(\(!)5 b(:)g Fu(tensor)13 b Fx(\(\(\()p Fu(tt)p
Fx(\))f(\()p Fu(i)25 b(j)s Fx(\)\))11 b(\(1)h Fu(:)h
Fx(12\)\)\))1084 1749 y(Th)o(us,)i(the)g(tensor)g(expression)1394
1841 y Fu(tt)p Fx(\()p Fu(i;)8 b(j)s Fx(\))g(+)j Fu(tt)p
Fx(\()p Fu(j;)d(i)p Fx(\))1084 1933 y(will)14 b(ha)o(v)o(e)g(the)i(in)o
(ternal)e(represen)o(tation)1161 2025 y(\(!)5 b(:)g Fu(tensor)13
b Fx(\(\(\()p Fu(tt)p Fx(\))f(\()p Fu(i)25 b(j)s Fx(\)\))11
b(\(1)h Fu(:)h Fx(21\))e(\(1)h Fu(:)h Fx(12\)\)\))1143
2117 y(The)22 b(most)f(imp)q(ortan)o(t)f(pro)q(cedures)j(from)d(this)
1084 2174 y(blo)q(c)o(k)15 b(are)g(describ)q(ed)h(b)q(ello)o(w)e(in)h
(section)g(8.)1143 2230 y(The)22 b(simpli\014cation)e(of)i(tensor)f
(expressions)h(is)1084 2287 y(p)q(erformed)16 b(b)o(y)i(the)f(function)
g Fu(t)p 1648 2287 V 17 w(simp)p Fx(.)26 b(The)17 b(result)1084
2343 y(of)h(this)g(pro)q(cedure)h(is)f(the)h(canonical)f(form)f(of)h
(the)1084 2400 y(tensor)c(expression,)h(i.e.)k(the)d(siev)o(ed)f(v)o
(ector)f Fu(t)1895 2383 y Fg(0)1920 2400 y Fs(2)f Fo(L)p
Fx(.)1084 2536 y Fd(7.5)66 b(T)-6 b(ensor)22 b(m)n(ultipli)q(cations)
1084 2646 y Fx(The)16 b(main)f(pro)q(cedures)j(of)e(the)g(tensor)g(m)o
(ultiplica-)1084 2702 y(tion)e(blo)q(c)o(k)h(are)g(the)g(follo)o(wing:)
1051 2827 y Fr(9)p eop
%%Page: 10 10
10 9 bop 193 154 a Fs(\017)24 b Fu(t)p 259 154 14 2 v
17 w(spl)q(it)p Fx(\()p Fu(tt)p Fx(\))e(-)g(splits)f(a)g(term)g(of)h
(the)g(tensor)240 210 y(expression)e(in)o(to)g(the)g(list)g(of)g(basic)
g(tensors)240 267 y(as)15 b(factors;)193 358 y Fs(\017)24
b Fu(t)p 259 358 V 17 w(f)5 b(use)p Fx(\()p Fu(tf)424
365 y Fm(1)445 358 y Fu(;)j(tf)504 365 y Fm(2)523 358
y Fx(\))13 b(-)f(com)o(bines)g(tensor)g(factors)240 414
y Fu(tf)278 421 y Fm(1)314 414 y Fx(and)j Fu(tf)440 421
y Fm(2)476 414 y Fx(in)o(to)f(the)i(pro)q(duct.)21 b(This)15
b(op)q(er-)240 470 y(ation)f(is)h(rev)o(erse)g(to)f(the)i(previous)f
(one;)193 562 y Fs(\017)24 b Fu(addmul)q(tsy)r(m)p Fx(\()p
Fu(t)528 569 y Fm(1)547 562 y Fu(;)8 b(t)584 569 y Fm(2)603
562 y Fx(\))j(-)g(adds)h(symmetry)c(and)240 618 y(m)o(ultiterm)18
b(linear)j(iden)o(tit)o(y)g(relations)f(gen-)240 674
y(erated)i(b)o(y)g(the)g(m)o(ultiplicat)o(ion)d(to)i(the)h
Fo(K)p Fx(-)240 731 y(basis.)118 827 y(Some)c(utilities)f(are)i(a)o(v)m
(ailable)f(to)g(w)o(ork)h(with)f(ten-)118 884 y(sors.)193
981 y Fs(\017)24 b Fu(t)p 259 981 V 17 w(upr)q(ig)r(ht)p
Fx(\()p Fu(tt;)8 b(th)p Fx(\))20 b(-)g(extends)h(the)g(tensor)f
Fu(tt)240 1037 y Fx(to)15 b(the)h(righ)o(t)e(with)h(resp)q(ect)h(to)f
(the)g Fu(t)p Fx(-header)240 1093 y Fu(th)p Fx(;)193
1184 y Fs(\017)24 b Fu(t)p 259 1184 V 17 w(upl)q(ef)5
b(t)p Fx(\()p Fu(tt;)j(th)p Fx(\))14 b(-)h(extends)g(the)f(tensor)h
Fu(tt)g Fx(to)240 1241 y(the)g(left)g(with)f(resp)q(ect)i(to)f(the)g
Fu(t)p Fx(-header)h Fu(th)p Fx(;)193 1332 y Fs(\017)24
b Fu(t)p 259 1332 V 17 w(pr)q(i)p Fx(\()p Fu(tt)p Fx(\))e(-)g(outputs)g
(the)g(tensor)g Fu(tt)h Fx(in)f(the)240 1388 y(natural)14
b(form.)118 1525 y Fd(7.6)66 b(Dumm)n(y)23 b(indices)118
1611 y Fx(Dumm)o(y)13 b(relations)i(are)g(created)h(in)g(the)g(pro)q
(cess)g(of)118 1668 y(ev)m(aluation)e(of)h(a)f(tensor)h(expressions.)k
(Their)c(n)o(um-)118 1724 y(b)q(er)f(ma)o(y)d(b)q(e)j(v)o(ery)e(large)h
(and)g(unpredictable)g(in)g(ad-)118 1781 y(v)m(ance.)20
b(Therefore)14 b(w)o(e)f(do)g(not)g(sa)o(v)o(e)g Fo(D)p
Fx(-relations)f(in)118 1837 y(con)o(trast)g(to)h Fo(S)g
Fx(and)h Fo(I)f Fx(ones.)20 b(This)13 b(leads)g(to)g(the)g(loss)118
1894 y(of)i(time)e(but)j(sa)o(v)o(es)e(the)h(memory)l(.)177
1950 y(During)20 b(simpli\014cation)e(of)h(tensor)h(expressions)118
2006 y(w)o(e)k(use)h(in)o(ternal)e(names)g(for)h(indices.)47
b(Original)118 2063 y(names)16 b(are)h(sa)o(v)o(ed)g(and)h(used)g(in)f
(the)g(I/O)h(pro)q(cess.)118 2119 y(Th)o(us,)12 b(if)f(w)o(e)g(ha)o(v)o
(e,)h(for)f(example,)g(a)g(dumm)o(y)f(index)i Fu(i)118
2176 y Fx(\(really)h(there)h(are)f(t)o(w)o(o)g(suc)o(h)h(names)f(in)h
(the)g(expres-)118 2232 y(sion)k(considered\))h(then)h(it)e(will)f(b)q
(e)j(replaced)f(with)118 2289 y(t)o(w)o(o)14 b(in)o(ternal)g(names:)p
366 2383 V 379 2383 a Fu(nn)92 b Fx(and)p 691 2383 V
107 w Fu(mm;)118 2476 y Fx(where)22 b Fu(mm)i Fx(=)g
Fu(nn)15 b Fx(+)g(1.)39 b(The)22 b(original)e(name)h(is)118
2533 y(stored)15 b(as)g(a)g(sp)q(ecial)g(prop)q(ert)o(y)f(of)h(the)g
(new)h(ones.)177 2589 y(The)21 b(dumm)o(y)e(blo)q(c)o(k)i(pro)q(duces)g
(relations)f(gen-)118 2646 y(erated)h(b)o(y)h(renamings)e(of)h
(dummies.)37 b(The)22 b(main)118 2702 y(pro)q(cedures)16
b(are)f(the)g(follo)o(wing:)1159 154 y Fs(\017)24 b Fu(adddummy)r
Fx(\()p Fu(tt)p Fx(\))17 b(-)i(adds)f(the)h(new)f(relations)1206
210 y(to)c(the)i Fo(K)p Fx(-basis;)1159 304 y Fs(\017)24
b Fu(dl)p 1248 304 V 16 w(g)r(et)p Fx(\()p Fu(il)q Fx(\))13
b(-)i(returns)f(the)h(list)e(of)h(dumm)o(y)f(in-)1206
360 y(dices)i(from)e(the)j(index)f(list)f Fu(il)q Fx(;)1159
454 y Fs(\017)24 b Fu(il)p 1240 454 V 16 w(simp)p Fx(\()p
Fu(il)q Fx(\))c(-)i(replaces)g(original)e(names)g(of)1206
511 y(the)k(dumm)o(y)e(indices)j(with)e(their)h(in)o(ternal)1206
567 y(names;)1159 661 y Fs(\017)g Fu(mk)p 1274 661 V
17 w(dsy)r(m)p Fx(\()p Fu(t)1430 668 y Fm(1)1450 661
y Fx(\))16 b(-)h(returns)g(the)g(list)f(of)g(tensor)1206
717 y(relations)11 b(with)h(c)o(hanged)h(dumm)o(y)d(indices)j(in)1206
774 y(eac)o(h)i(pair;)1159 868 y Fs(\017)24 b Fu(mk)p
1274 868 V 17 w(ddsy)r(m)p Fx(\()p Fu(t)1454 875 y Fm(1)1473
868 y Fx(\))13 b(-)g(returns)g(the)g(list)f(of)g(tensor)1206
924 y(relations)h(with)h(p)q(erm)o(uted)g(pairs)g(of)g(dumm)o(y)1206
980 y(indices.)1084 1119 y Fd(7.7)66 b(W)-6 b(orking)24
b(with)g(K-bases)1084 1205 y Fx(This)13 b(blo)q(c)o(k)g(con)o(tains)f
(the)h(pro)q(cedures)i(for)d(w)o(orking)1084 1261 y(with)i
Fo(K)p Fx(-bases.)1143 1318 y(All)21 b Fo(K)p Fx(-bases)g(for)g(v)m
(arious)g(tensor)g(expressions)1084 1374 y(are)15 b(stored)f(as)h
(lists)f(in)h(the)g(global)f(v)m(ariable)1196 1476 y(!)s
Fs(\003)s Fu(basis)c Fx(::=)j(\()p Fu(k)t Fs(\000)s Fu(basis)1610
1483 y Fm(1)1641 1476 y Fu(k)t Fs(\000)s Fu(basis)1809
1483 y Fm(2)1841 1476 y Fu(:::)p Fx(\))1084 1578 y(The)i(structure)g
(of)g(the)g(basis)g(is:)1223 1680 y Fu(k)t Fs(\000)s
Fu(basis)d Fx(::=)g(\()p Fu(t)s Fs(\000)s Fu(header)q
Fx(\))g Fu(:)g(t)s Fs(\000)s Fu(l)q(ist)1084 1782 y Fx(where)20
b(the)g(header)h Fu(t)f Fx(and)h(the)f(list)f Fu(t)i
Fx(are)e(de\014ned)1084 1839 y(ab)q(o)o(v)o(e.)1143 1895
y(The)c(main)f(pro)q(cedures)i(are)f(the)g(follo)o(wing:)1159
2002 y Fs(\017)24 b Fu(siev)r(e)p 1312 2002 V 16 w(pv)r
Fx(\()p Fu(pv)r(;)8 b(b)p Fx(\))19 b({)j(siev)o(es)g(the)h
Fu(p)p Fx(-v)o(ector)e Fu(pv)1206 2058 y Fx(using)27
b(the)g(basis)f Fu(b)p Fx(.)56 b(This)26 b(pro)q(cedure)i(is)1206
2115 y(used)17 b(for)f(the)g(construction)g(of)g(the)g
Fo(K)p Fx(-basis)1206 2171 y(\("triangle")11 b(transformatio)o(n)g
(\(3,4\)\))h(and)h(for)1206 2227 y(the)19 b(simpli\014cation)d(of)j
(tensors)f(expressions)1206 2284 y(\(pro)s(jection)9
b(to)h(the)i(canonical)e(elemen)o(t)f(\(5\)\).)1206 2340
y(This)25 b(is)g(the)g(main)f(step)h(of)g(the)h(function)1206
2397 y Fu(siev)r(e)p 1312 2397 V 16 w(t)p Fx(.;)1159
2491 y Fs(\017)e Fu(r)q(educe)p 1343 2491 V 15 w(pv)r
Fx(\()p Fu(pv)r(;)8 b(q)r(v)r Fx(\))16 b(-)j(reduces)g(the)g
Fu(p)p Fx(-v)o(ector)1206 2547 y Fu(pv)e Fx(with)e(resp)q(ect)i(to)e
(the)h Fu(p)p Fx(-v)o(ector)f Fu(q)r(v)r Fx(.)21 b(This)1206
2604 y(is)10 b(the)h(main)e(step)i(of)f(the)h(function)g
Fu(siev)r(e)p 1923 2604 V 16 w(pv)r Fx(.;)1039 2827 y
Fr(10)p eop
%%Page: 11 11
11 10 bop 193 154 a Fs(\017)24 b Fu(inser)q(t)p 366 154
14 2 v 17 w(pv)r Fx(\()p Fu(pv)r(;)8 b(b)p Fx(\))13 b(-)j(inserts)g
(the)g Fu(p)p Fx(-v)o(ector)g Fu(pv)240 210 y Fx(in)o(to)f(the)h(basis)
g Fu(b)p Fx(.)22 b(This)16 b(pro)q(cedure)h(also)e(re-)240
267 y(arranges)f Fu(b)h Fx(with)g(resp)q(ect)g(to)g Fu(pv)r
Fx(.)193 360 y Fs(\017)24 b Fu(siev)r(e)p 346 360 V 16
w(t)p Fx(\()p Fu(tt)p Fx(\))13 b(-)g(siev)o(es)f(the)h(tensor)f
Fu(tt)h Fx(using)f(the)240 417 y(corresp)q(onding)k Fo(K)p
Fx(-basis.)21 b(The)16 b(\014rst)g(step)g(of)240 473
y(this)h(pro)q(cedure)i(is)e(generation)g(of)h(relations)240
530 y(due)24 b(to)e(renamings)g(of)h(dummies)e(and)i(the)240
586 y(corresp)q(onding)d(completion)e(of)h Fo(K)871 593
y Fc(M)932 586 y Fx(up)h(to)240 643 y Fo(K)281 650 y
Fc(D)314 643 y Fx(-basis.)118 781 y Fd(7.8)66 b(Global)24
b(v)l(ariables)118 867 y Fx(In)g(this)e(section)h(w)o(e)g(describ)q(es)
h(the)f(main)f(global)118 923 y(v)m(ariables)k(whic)o(h)h(allo)o(w)e(a)
i(user)g(to)f(con)o(trol)g(the)118 980 y(w)o(ork.)19
b(W)l(e)c(sho)o(w)g(the)g(default)g(v)m(alues)g(in)g(brac)o(k)o(ets.)
193 1086 y Fs(\017)24 b Fx(!)t Fs(\003)t Fu(ppack)q(ed)p
Fx(\()p Fu(T)6 b Fx(\))16 b(-)i(are)f(p)q(erm)o(utations)f(stored)240
1142 y(in)f(pac)o(k)o(ed)g(form?)193 1236 y Fs(\017)24
b Fx(!)s Fs(\003)s Fu(debug)r Fx(\()p Fu(N)t(I)t(L)p
Fx(\))12 b(-)j(switc)o(hes)f(the)i(debug)f(out-)240 1293
y(put)g(on.)118 1452 y Fy(8)108 b(User's)27 b(in)n(terface)118
1554 y Fx(T)l(o)12 b(simplify)e(the)j(user)f(in)o(terface,)g(w)o(e)g
(restricted)g(the)118 1610 y(n)o(um)o(b)q(er)f(of)g(additional)f
(commands.)16 b(The)c(names)f(of)118 1667 y(these)19
b(commands)e(are)h(v)o(ery)h(similar)d(to)i(the)g(stan-)118
1723 y(dard)d(REDUCE)g(ones)h(used)f(in)g(similar)e(cases.)118
1862 y Fd(8.1)66 b Fb(K)t(B)s(AS)s(I)5 b(S)118 1947 y
Fx(The)17 b(command)e Fu(K)s(B)r(AS)s(I)t(S)k Fx(prin)o(ts)d(the)h
(tensor)f Fo(K)p Fx(-)118 2004 y(basis.)177 2060 y(The)g(n)o(um)o(b)q
(er)f(of)g(v)o(ectors)f(in)i(the)f(basis,)g(i.e.)20 b(the)118
2117 y(dimension)14 b(of)g(the)h(corresp)q(onding)g(subspace)g
Fo(K)p Fx(,)g(is)118 2173 y(t)o(yp)q(ed)h(in)f(the)g(last)f(line)h(of)g
(the)g(output.)20 b(F)l(ormat)13 b(of)118 2230 y(this)i(command)e(is:)
333 2332 y Fu(K)s(B)r(AS)s(I)t(S)27 b(tt)587 2339 y Fm(1)608
2332 y Fu(;)8 b(tt)661 2339 y Fm(2)680 2332 y Fu(;)g(:::;)g(tt)793
2339 y Ft(n)815 2332 y Fx(;)118 2434 y(Here)16 b Fu(tt)258
2441 y Fm(1)278 2434 y Fu(;)8 b(tt)331 2441 y Fm(2)351
2434 y Fu(;)g(:::;)g(tt)464 2441 y Ft(n)501 2434 y Fx(are)14
b(tensor)h(names.)177 2490 y(T)l(o)10 b(output)g(the)h
Fo(K)p Fx(-basis)f(in)g(the)g(case)g(of)g(the)h(m)o(ul-)118
2547 y(tiplication)16 b(of)i(t)o(w)o(o)e(or)h(more)g(tensors,)h(it)f
(is)g(neces-)118 2603 y(sary)k(to)f(use)i(the)f(follo)o(wing)e(format)g
(of)i(the)g(com-)118 2660 y(mand:)1276 210 y Fu(K)s(B)r(AS)s(I)t(S)28
b(t)1515 217 y Fm(1)1535 210 y Fx(\()p Fu(t)1569 217
y Fm(2)1588 210 y Fu(;)8 b(:::;)g(t)1685 217 y Ft(k)1704
210 y Fx(\))p Fu(;)g(:)g(:)g(:)d Fx(;)1084 290 y(Here)15
b Fu(t)1207 297 y Fm(1)1227 290 y Fu(;)8 b(t)1264 297
y Fm(2)1284 290 y Fu(;)g(:)g(:)g(:)k Fx(are)j(the)g(names)f(of)h
(tensor)g(factors.)1143 347 y(If)10 b(some)f(names)g(ha)o(v)o(e)h(not)g
(b)q(een)h(declared)g(as)f(ten-)1084 403 y(sors)k(the)i(message)d(is)i
(pro)q(duced)1171 483 y Fz(*****)j(b)n(asis1)d(***)i(Invalid)f(as)g
(tensor:)k(tt)1084 621 y Fd(8.2)66 b Fb(T)8 b(E)t(N)e(S)s(O)r(R)1084
706 y Fx(The)11 b(command)e Fu(T)d(E)s(N)f(S)s(O)q(R)k
Fx(declares)h(new)i(tensors.)1084 763 y(F)l(ormat)h(of)h(this)h
(command)e(is:)1316 858 y Fu(T)6 b(E)s(N)f(S)s(O)q(R)23
b(t)1569 865 y Fm(1)1589 858 y Fu(;)8 b(t)1626 865 y
Fm(2)1645 858 y Fu(;)g(:::;)g(t)1742 865 y Ft(n)1763
858 y Fx(;)1084 954 y(Here)14 b Fu(t)1206 961 y Fm(1)1226
954 y Fu(;)8 b(t)1263 961 y Fm(2)1282 954 y Fu(;)g(:::;)g(t)1379
961 y Ft(n)1414 954 y Fx(are)14 b(iden)o(ti\014ers.)19
b(The)14 b(n)o(um)o(b)q(er)f(of)1084 1010 y(indices)i(will)e(b)q(e)j
(\014xed)f(during)g(the)g(\014rst)g(ev)m(aluation)1084
1067 y(of)g(a)f(tensor)h(expressions.)1143 1123 y(If)d(some)f(names)h
(ha)o(v)o(e)f(b)q(een)j(declared)e(as)g(tensors)1084
1180 y(already)i(the)i(message)d(is)i(pro)q(duced:)1177
1260 y Fz(+++)h(tt)g(is)g(alr)n(e)n(ady)g(de)n(clar)n(e)n(d)f(as)h
(tensor.)1084 1397 y Fd(8.3)66 b Fb(T)8 b(C)t(LE)t(AR)1084
1483 y Fx(The)k(command)e Fu(T)c(C)s(LE)s(AR)k Fx(remo)o(v)o(es)g
(tensors)i(from)1084 1539 y(the)i(list)g(of)g(tensors.)19
b(F)l(ormat)12 b(of)i(this)g(command)f(is:)1319 1635
y Fu(T)6 b(C)s(LE)s(AR)24 b(t)1565 1642 y Fm(1)1585 1635
y Fu(;)8 b(t)1622 1642 y Fm(2)1642 1635 y Fu(;)g(:::;)g(t)1739
1642 y Ft(n)1760 1635 y Fx(;)1084 1731 y(Here)14 b Fu(t)1206
1738 y Fm(1)1226 1731 y Fu(;)8 b(t)1263 1738 y Fm(2)1283
1731 y Fu(;)g(:::;)g(t)1380 1738 y Ft(n)1415 1731 y Fx(are)14
b(the)g(names)f(of)h(tensor)g(\(iden-)1084 1787 y(ti\014ers\).)1143
1844 y(If)c(some)f(names)g(ha)o(v)o(e)h(not)g(b)q(een)h(declared)g(as)f
(ten-)1084 1900 y(sors)k(the)i(message)d(is)i(pro)q(duced)1293
1980 y Fz(+++)h(xxx)h(is)e(not)h(a)h(tensor.)1143 2060
y(Note:)37 b Fx(All)22 b Fo(K)p Fx(-bases)i(where)g(an)o(y)f(of)g
Fu(t)1863 2067 y Ft(i)1901 2060 y Fx(is)g(in-)1084 2117
y(cluded)16 b(as)e(a)h(factor)g(will)e(b)q(e)j(lost.)1084
2254 y Fd(8.4)66 b Fb(T)8 b(S)s(Y)14 b(M)1084 2340 y
Fx(The)j(command)e Fu(T)6 b(S)s(Y)k(M)22 b Fx(de\014nes)c(symmetry)c
(rela-)1084 2396 y(tions)d(of)h(basic)h(tensors.)18 b(F)l(ormat)10
b(of)i(this)g(command)1084 2453 y(is:)1316 2509 y Fu(T)6
b(S)s(Y)k(M)31 b(te)1528 2516 y Fm(1)1548 2509 y Fu(;)8
b(te)1606 2516 y Fm(2)1625 2509 y Fu(;)g(:::;)g(te)1743
2516 y Ft(k)1763 2509 y Fx(;)1084 2589 y(Here)18 b Fu(te)1231
2596 y Fm(1)1251 2589 y Fu(;)8 b(te)1309 2596 y Fm(2)1329
2589 y Fu(;)g(:::;)g(te)1447 2596 y Ft(k)1484 2589 y
Fx(are)18 b(linear)f(com)o(binations)e(of)1084 2646 y(basic)h(tensors)g
(with)g(in)o(teger)f(co)q(e\016cien)o(ts)h(not)h(con-)1084
2702 y(taining)d(without)g(dumm)o(y)f(indices.)1039 2827
y Fr(11)p eop
%%Page: 12 12
12 11 bop 177 154 a Fx(All)25 b(relations)f(corresp)q(ond)i(to)f(the)h
(left)f(hand)118 210 y(side)17 b(of)f(the)h(symmetry)d(equations.)24
b(F)l(or)16 b(example,)118 267 y(for)i(an)o(tisymm)o(etric)d(tensor)j
(w)o(e)g(ha)o(v)o(e)f(the)i(relation)118 323 y Fu(AA)p
Fx(\()p Fu(i;)8 b(j)s Fx(\))f(+)i Fu(AA)p Fx(\()p Fu(j;)f(i)p
Fx(\))j(=)h(0.)20 b(Th)o(us,)14 b(the)h(corresp)q(ond-)118
379 y(ing)g(input)g(format)e(is:)285 482 y Fu(T)6 b(S)s(Y)k(M)30
b(AA)p Fx(\()p Fu(I)t(;)8 b(J)t Fx(\))h(+)h Fu(AA)p Fx(\()p
Fu(J)o(;)e(I)t Fx(\);)118 620 y Fd(8.5)66 b(Algebraic)24
b(op)r(erations)118 706 y Fx(The)12 b(standard)e(algebraic)g(op)q
(erations)h(are)g(a)o(v)m(ailable)118 762 y(for)k(tensors:)202
806 y(+)74 b(sum)14 b(of)h(tensors;)202 862 y Fs(\000)74
b Fx(di\013erence)15 b(of)g(tensors)g(or)f(negation;)202
919 y Fs(\003)86 b Fx(m)o(ultiplicati)o(on)13 b(of)h(tensors.)177
971 y(W)l(e)20 b(assume)e(that)g(t)o(w)o(o)g(indices)i(with)e(iden)o
(tical)118 1028 y(names)d(means)g(the)i(summatio)o(n)d(o)o(v)o(er)h
(their)h(v)m(alues)118 1084 y(\(the)23 b(Einstein)g(con)o(v)o(en)o
(tion\))f(-)h(they)g(are)g(dumm)o(y)118 1141 y(ones.)31
b(Th)o(us,)19 b(the)g(m)o(ultiplication)d(of)i(t)o(w)o(o)g(tensors)118
1197 y(ma)o(y)d(b)q(e)j(either)f(a)g(direct)f(pro)q(duct,)i(or)e(it)h
(can)g(con-)118 1254 y(tain)e(con)o(tractions)e(of)i(dumm)o(y)e
(indices.)177 1310 y(Examples:)420 1367 y Fu(t)436 1374
y Fm(1)456 1367 y Fx(\()p Fu(i;)8 b(j)s Fx(\))g Fs(\003)i
Fu(t)608 1374 y Fm(2)628 1367 y Fx(\()p Fu(j;)e(k)q Fx(\);)386
1450 y Fu(t)402 1457 y Fm(1)422 1450 y Fx(\()p Fu(i;)g(j)s
Fx(\))g(+)i(2)g Fs(\003)g Fu(t)652 1457 y Fm(2)672 1450
y Fx(\()p Fu(j;)e(i)p Fx(\);)118 1588 y Fd(8.6)66 b(Switc)n(h)24
b Fb(D)r(U)6 b(M)g(M)g(Y)12 b(P)c(RI)118 1674 y Fx(This)17
b(switc)o(h)f(is)g(con)o(trolled)g(b)o(y)h(the)g(standard)g(RE-)118
1731 y(DUCE)i(commands)e Fu(O)q(N)5 b Fx(/)p Fu(O)q(F)h(F)g
Fx(.)32 b(It)19 b(con)o(trols)f(the)118 1787 y(output)d(pro)q(cess)h
(for)f(tensor)g(expressions.)20 b(The)c(de-)118 1843
y(fault)e(v)m(alue)i(is)f Fu(O)q(F)6 b(F)g Fx(.)177 1900
y Fu(D)q(U)f(M)g(M)g(Y)11 b(P)6 b(RI)22 b Fx(prin)o(ts)c(dumm)o(y)f
(indices)i(with)118 1956 y(in)o(ternal)i(names)f({)i(n)o(um)o(b)q(ers.)
38 b(The)22 b(general)f(rule)118 2013 y(is:the)10 b(index)g(\(2)p
Fu(k)r Fs(\000)p Fx(1\))f(is)g(con)o(tracted)h(with)g(the)g(index)118
2069 y(\(2)p Fu(k)q Fx(\).)177 2126 y(Examples)370 2109
y Fm(7)388 2126 y Fx(:)143 2190 y Fu(T)c(E)s(N)f(S)s(O)q(R)36
b(GG)p Fx(;)143 2247 y Fu(GG)p Fx(\()p Fu(M)r(;)8 b(M)d
Fx(\);)285 b Fs(\))13 b Fu(GG)p Fx(\()p Fu(M)r(;)8 b(M)d
Fx(\))143 2303 y Fu(O)q(N)42 b(D)q(U)5 b(M)g(M)g(Y)11
b(P)6 b(RI)t Fx(;)143 2359 y Fu(GG)p Fx(\()p Fu(M)r(;)i(M)d
Fx(\);)285 b Fs(\))13 b Fu(GG)p Fx(\()p Fu(M)857 2366
y Fm(41)894 2359 y Fu(;)8 b(M)959 2366 y Fm(42)996 2359
y Fx(\))p 118 2415 370 2 v 174 2445 a Fh(7)193 2460 y
Fv(Here)13 b(and)f(b)q(elo)o(w)h(REDUCE)g(output)f(is)h(giv)o(en)g
(after)118 2510 y(the)i(arro)o(w)e(")p FA(\))p Fv(".)1084
154 y Fd(8.7)66 b(Switc)n(h)23 b Fb(S)s(H)5 b(O)r(RT)j(E)t(S)s(T)1084
239 y Fx(This)16 b(switc)o(h)h(is)f(con)o(trolled)g(b)o(y)h(the)g
(standard)f(RE-)1084 296 y(DUCE)j(commands)e Fu(O)q(N)5
b Fx(/)p Fu(O)q(F)h(F)g Fx(.)32 b(It)19 b(con)o(trols)f(the)1084
352 y(output)d(pro)q(cess)h(for)e(tensor)h(expressions.)21
b(The)15 b(de-)1084 409 y(fault)f(v)m(alue)h(is)g Fu(O)q(F)6
b(F)g Fx(.)1143 465 y Fu(S)s(H)t(O)q(RT)g(E)s(S)s(T)31
b Fx(prin)o(ts)c(tensor)g(expression)h(in)1084 522 y(shortest)18
b(form)g(that)g(w)o(as)g(pro)q(duced)j(during)e(ev)m(al-)1084
578 y(uation.)24 b(Ho)q(ev)o(er,)17 b(the)g(sortest)f(form)g(ma)o(y)f
(b)q(e)i(non-)1084 635 y(canonical.)1084 703 y Fu(T)6
b(E)s(N)f(S)s(O)q(R)35 b(C)s Fx(;)1084 759 y Fu(T)6 b(S)s(Y)k(M)167
b(C)s Fx(\()p Fu(K)q(;)8 b(L;)g(M)d Fx(\))24 b(+)j Fu(C)s
Fx(\()p Fu(L;)8 b(M)r(;)g(K)s Fx(\))25 b(+)1084 816 y
Fu(C)s Fx(\()p Fu(M)r(;)8 b(K)q(;)g(L)p Fx(\);)1084 872
y Fu(C)s Fx(\()p Fu(K)q(;)g(L;)g(M)d Fx(\))i(+)j Fu(C)s
Fx(\()p Fu(M)r(;)e(L;)g(K)s Fx(\);)1261 929 y Fs(\))60
b Fx(\()p Fs(\000)p Fx(1\))28 b Fs(\003)g Fu(C)s Fx(\()p
Fu(L;)8 b(M)r(;)g(K)s Fx(\))27 b(+)i(\()p Fs(\000)p Fx(1\))f
Fs(\003)1084 985 y Fu(C)s Fx(\()p Fu(M)r(;)8 b(K)q(;)g(L)p
Fx(\))f(+)k Fu(C)s Fx(\()p Fu(M)r(;)d(L;)g(K)s Fx(\))1084
1042 y Fu(O)q(N)42 b(S)s(H)t(O)q(RT)6 b(E)s(S)s(T)g Fx(;)1084
1098 y Fu(C)s Fx(\()p Fu(K)q(;)i(L;)g(M)d Fx(\))i(+)j
Fu(C)s Fx(\()p Fu(M)r(;)e(L;)g(K)s Fx(\);)1214 1154 y
Fs(\))14 b Fu(C)s Fx(\()p Fu(K)q(;)8 b(L;)g(M)d Fx(\))h(+)11
b Fu(C)s Fx(\()p Fu(M)r(;)d(L;)g(K)s Fx(\))1084 1314
y Fy(9)81 b(Memory)25 b(usage)1084 1416 y Fx(Let)c(us)g(consider)g
(simpli\014cation)e(of)h(a)h(tensor)g(ex-)1084 1472 y(pressions)16
b(with)g Fu(n)h Fx(indices.)24 b(The)17 b(rank)f(of)g(the)h(cor-)1084
1529 y(resp)q(onding)26 b(p)q(erm)o(utation)e(group)h(is)h
Fu(n)g Fx(and)g(the)1084 1585 y(dimension)h(of)h(its)g(group)h(algebra)
e(is)h Fu(n)p Fx(!.)61 b(Let)1084 1642 y(us)22 b(consider)f(t)o(w)o(o)f
(cases:)33 b(when)22 b(there)g(are)f(man)o(y)1084 1698
y Fo(S)10 b Fs(\000)g Fo(I)g Fs(\000)h Fo(D)19 b Fx(relations)e(\(so)h
(that)h(the)g(dimension)e(of)1084 1755 y(the)11 b Fo(K)h
Fx(subspace)g(is)f(almost)e(equal)j(to)e Fu(n)p Fx(!\))i(and)f(when)
1084 1811 y(there)17 b(are)g(small)d(n)o(um)o(b)q(er)j(of)f
Fo(S)10 b Fs(\000)h Fo(I)f Fs(\000)g Fo(D)17 b Fx(relations)1084
1867 y(\(so)k(that)g(the)h(dimension)e(of)h(the)h Fo(K)g
Fx(subspace)g(is)1084 1924 y(small\).)1143 1980 y(In)f(the)g(\014rst)f
(case,)i(ab)q(out)e Fu(n)p Fx(!)14 b Fs(\001)f Fu(l)h
Fs(\001)g Fu(k)21 b Fx(Lisp)g(cells)1084 2037 y(are)16
b(necessary)g(to)g(store)g(the)g(full)g Fo(K)1734 2044
y Fc(D)1767 2037 y Fx(-basis.)24 b(Here)1084 2093 y Fu(l)14
b Fx(is)f(the)h(n)o(um)o(b)q(er)g(of)f(cells)g(needed)j(to)d(store)g(a)
h(single)1084 2150 y(term)c(of)i(a)g Fu(p)p Fx(-v)o(ector,)f(and)i
Fu(k)g Fx(is)e(the)i(a)o(v)o(erage)d(n)o(um)o(b)q(er)1084
2206 y(of)20 b(terms)e(in)i(v)o(ectors)g(from)e(this)i
Fo(K)1737 2213 y Fc(D)1770 2206 y Fx(-basis.)35 b(The)1084
2263 y(n)o(um)o(b)q(er)17 b(of)g(terms)f(in)i(these)g(v)o(ectors)f(\()p
Fu(k)q Fx(\))g(is)g(ab)q(out)1084 2319 y(2)s Fs(\000)s
Fx(3)12 b(in)f(practical)g(cases.)18 b(The)12 b(n)o(um)o(b)q(er)f(of)h
(terms)e(in)1084 2376 y(the)15 b(simpli\014ed)f(expression)i(is)f(\(in)
g(practical)f(cases\))1084 2432 y Fu(O)q Fx(\(1\),)g(and)h(can)g(b)q(e)
h(omitted)d(from)h(this)g(estimate.)1143 2488 y(In)h(the)f(case)g(of)f
(a)h(small)e(set)i(of)f(symmetries)f(and)1084 2545 y(linear)g(iden)o
(tities)h(of)g(basic)g(tensors,)g(the)g(n)o(um)o(b)q(er)g(of)1084
2601 y(v)o(ectors)20 b(in)g(the)h(full)f Fo(K)1512 2608
y Fc(D)1546 2601 y Fx(-basis)g(is)g(small)f(enough,)1084
2658 y(and)f(can)f(b)q(e)i(omitted)c(from)h(this)h(estimate.)25
b(Ho)o(w-)1039 2827 y Fr(12)p eop
%%Page: 13 13
13 12 bop 118 154 a Fx(ev)o(er,)19 b(the)f(n)o(um)o(b)q(er)f(of)h
(terms)f(in)h(a)f(canonical)h(rep-)118 210 y(resen)o(tativ)o(e)11
b(\(the)i(expression)f(after)g(simpli\014cation\))118
267 y(will)i(b)q(e)i(ab)q(out)f Fu(n)p Fx(!.)177 323
y(An)o(yw)o(a)o(y)l(,)26 b(w)o(e)f(ha)o(v)o(e)g(to)f(w)o(ork)g(with)g
(a)h(practi-)118 379 y(cally)19 b(full)h(set)g(of)f(p)q(erm)o
(utations,)g(whic)o(h)h(con)o(tains)118 436 y Fu(n)p
Fx(!)15 b(mem)o(b)q(ers.)177 492 y(Th)o(us,)f(the)h(minim)o(um)c
(computer)i(memory)f(nec-)118 549 y(essary)f(to)f(store)h(the)g(elab)q
(orated)f(expressions)h(is)g(not)118 605 y(less)16 b(then)h
Fu(n)p Fx(!)11 b Fs(\001)f Fu(l)i Fs(\001)e Fu(k)q Fx(.)24
b(The)17 b(t)o(ypical)e(n)o(um)o(b)q(er)h(of)g(Lisp)118
662 y(cells)c(necessary)g(to)g(store)f(a)h(single)f(term)g(of)h(a)g
(tensor)118 718 y(expressions)19 b(\(basic)f(tensor\))f(is)i(4.)29
b(The)19 b(length)g(of)118 775 y(eac)o(h)f(cell)f(is)h(8)f(Byte.)28
b(The)18 b(results)f(of)h(calculation)118 831 y(for)11
b(di\013eren)o(t)f(ranks)h(of)g(the)g(p)q(erm)o(utation)f(group)h(are)
118 888 y(collected)k(in)g(the)g(table.)p 177 917 859
2 v 176 1030 2 113 v 202 956 a(Rank)h(of)e Fu(S)402 963
y Ft(n)p 462 1030 V 488 956 a Fx(Num)o(b)q(er)39 b(of)488
1013 y(Mcells)p 748 1030 V 774 956 a(Memory)32 b(in)774
1013 y(Mb)o(yte)p 1034 1030 V 177 1032 859 2 v 176 1088
2 57 v 202 1071 a(9)p 462 1088 V 263 w(2.9)p 748 1088
V 227 w(22.6)p 1034 1088 V 176 1144 V 202 1127 a(10)p
462 1144 V 240 w(29.0)p 748 1144 V 204 w(226.8)p 1034
1144 V 176 1201 V 202 1184 a(11)p 462 1201 V 240 w(319.3)p
748 1201 V 181 w(2494.8)p 1034 1201 V 177 1203 859 2
v 177 1262 a(2{3)16 b(times)e(more)h(memory)f(is)i(necessary)g(in)g
(the)118 1318 y(in)o(termediate)26 b(steps)h(of)g(calculations.)56
b(Mo)q(dern)118 1375 y(computers)24 b(usually)h(equipp)q(ed)i(with)d
(up)i(to)f(512)118 1431 y(Mb)o(yte)f(memory)e(can)j(elab)q(orate)f
(tensor)g(expres-)118 1488 y(sions)19 b(with)g(not)g(more)f(then)i(10)f
(indices)g(with)g(the)118 1544 y(help)11 b(of)f(the)g(prop)q(osed)h
(algorithm.)k(Ho)o(w)o(ev)o(er,)10 b(hard-)118 1601 y(w)o(are)16
b(dev)o(elopmen)o(t)e(is)i(v)o(ery)g(fast)f(no)o(w,)h(and)g(it)g(will)
118 1657 y(b)q(e)k(p)q(ossible)g(to)f(solv)o(e)g(problems)f(with)h(11)g
(indices)118 1714 y(with)14 b(the)h(help)f(of)g(our)h(program.)i
(Finally)l(,)c(w)o(e)h(note)118 1770 y(that)e(it)f(p)q(ossible)h(to)g
(mo)q(dify)f(the)h(algorithm)d(so)j(that)118 1826 y(the)17
b(memory)c(limitatio)o(ns)h(w)o(ould)i(b)q(e)h(not)f(so)g(hard.)118
1883 y(Ho)o(w)o(ev)o(er,)i(this)g(adv)m(an)o(tage)h(is)f(comp)q
(ensated)g(b)o(y)h(a)118 1939 y(signi\014can)o(t)f(increase)h(of)f(the)
h(execution)g(time.)29 b(T)l(o)118 1996 y(summarize)17
b(this)i(section,)h(w)o(e)g(conclude)g(that)f(the)118
2052 y(absolute)f(limit)e(for)h(the)i(group)f(algebra)g(approac)o(h)118
2109 y(dev)o(elop)q(ed)e(in)f(this)g(w)o(ork)f(is)h(12)f(indices.)118
2269 y Fy(10)82 b(Examples)118 2388 y Fd(10.1)66 b(Symmetric)31
b(and)f(an)n(tisym-)305 2463 y(metric)23 b(tensors)118
2549 y Fx(A)o(t)18 b(the)h(b)q(eginning,)g(let)f(us)g(declare)h(the)f
(names)g(of)118 2605 y(basic)d(tensors:)118 2685 y Fu(tensor)27
b(s)p Fx(2)p Fu(;)8 b(a)p Fx(3)p Fu(;)g(v)r Fx(1)p Fu(;)g(v)r
Fx(2)p Fu(;)f(v)q Fx(3;)1143 154 y(By)j(using)h Fu(T)6
b(S)s(Y)j(M)16 b Fx(command)8 b(w)o(e)i(in)o(tro)q(duce)h(the)1084
210 y Fo(S-I)k Fx(relations)f(of)h(the)g(basic)g(tensors:)1109
277 y Fu(tsy)r(m)50 b(s)p Fx(2\()p Fu(i;)8 b(j)s Fx(\))g
Fs(\000)i Fu(s)p Fx(2\()p Fu(j;)e(i)p Fx(\))p Fu(;)141
b Fx(\045)15 b(Symmetric)1260 334 y Fu(a)p Fx(3\()p Fu(i;)8
b(j;)g(k)q Fx(\))f(+)k Fu(a)p Fx(3\()p Fu(j;)d(i;)g(k)q
Fx(\))p Fu(;)46 b Fx(\045)15 b(An)o(tisymm.)1260 390
y Fu(a)p Fx(3\()p Fu(i;)8 b(j;)g(k)q Fx(\))f Fs(\000)k
Fu(a)p Fx(3\()p Fu(j;)d(k)q(;)g(i)p Fx(\);)1143 491 y(Let)15
b(us)h(output)f(the)g Fo(K)1551 498 y Fc(0)1574 491 y
Fx(-bases)g(constructed)g(for)1084 548 y(the)g(tensors)g
Fu(a)1341 555 y Fm(2)1376 548 y Fx(and)g Fu(s)1485 555
y Fm(2)1084 628 y Fu(k)q(basis)25 b(s)p Fx(2)p Fu(;)8
b(a)p Fx(3;)1168 704 y Fs(\))50 b Fu(s)p Fx(2\()p Fu(j;)8
b(i)p Fx(\))g(+)j(\()p Fs(\000)p Fx(1\))e Fs(\003)h Fu(s)p
Fx(2\()p Fu(i;)e(j)s Fx(\))1168 761 y Fs(\))50 b Fx(1)1168
873 y Fs(\))g Fu(a)p Fx(3\()p Fu(k)q(;)8 b(i;)g(j)s Fx(\))f(+)j
Fu(a)p Fx(3\()p Fu(j;)e(i;)g(k)q Fx(\))1168 930 y Fs(\))50
b Fu(a)p Fx(3\()p Fu(k)q(;)8 b(j;)g(i)p Fx(\))f(+)k(\()p
Fs(\000)p Fx(1\))e Fs(\003)h Fu(a)p Fx(3\()p Fu(j;)e(i;)g(k)q
Fx(\))1168 986 y Fs(\))50 b Fu(a)p Fx(3\()p Fu(i;)8 b(k)q(;)g(j)s
Fx(\))f(+)j(\()p Fs(\000)p Fx(1\))g Fs(\003)f Fu(a)p
Fx(3\()p Fu(j;)f(i;)g(k)q Fx(\))1168 1043 y Fs(\))50
b Fu(a)p Fx(3\()p Fu(i;)8 b(j;)g(k)q Fx(\))f(+)k Fu(a)p
Fx(3\()p Fu(j;)d(i;)g(k)q Fx(\))1168 1099 y Fs(\))50
b Fu(a)p Fx(3\()p Fu(j;)8 b(k)q(;)g(i)p Fx(\))f(+)k Fu(a)p
Fx(3\()p Fu(j;)d(i;)g(k)q Fx(\))1168 1156 y Fs(\))50
b Fx(5)1143 1232 y(No)o(w)13 b(w)o(e)g(are)g(ready)h(to)f(simplify)e
(tensor)i(expres-)1084 1288 y(sions.)19 b(Some)14 b(examples)g(are:)
1109 1365 y Fu(s)p Fx(2\()p Fu(i;)8 b(j)s Fx(\))f(+)k
Fu(s)p Fx(2\()p Fu(j;)d(i)p Fx(\);)83 b Fs(\))13 b Fx(2)d
Fs(\003)f Fu(s)p Fx(2\()p Fu(i;)f(j)s Fx(\))1109 1421
y Fu(a)p Fx(3\()p Fu(i;)g(j;)g(k)q Fx(\))f Fs(\003)j
Fu(s)p Fx(2\()p Fu(i;)e(j)s Fx(\);)47 b Fs(\))13 b Fx(0)1109
1482 y Fu(a)p Fx(3\()p Fu(i;)8 b(j;)g(k)q Fx(\))f Fs(\003)j
Fu(v)r Fx(1\()p Fu(i)p Fx(\))e Fs(\003)i Fu(v)r Fx(2\()p
Fu(j)s Fx(\))e Fs(\003)i Fu(v)r Fx(1\()p Fu(k)q Fx(\);)48
b Fs(\))13 b Fx(0)1143 1562 y(Sometimes)19 b(one)j(can)f(get)h(a)f
('strange')f(output)1084 1618 y(if)e(one)g(will)f(not)h(b)q(e)h
(careful)g(with)e(the)i(input.)29 b(F)l(or)1084 1675
y(example,)1109 1751 y Fu(x)12 b Fx(:=)h Fu(s)p Fx(2\()p
Fu(i;)8 b(i)p Fx(\);)47 b Fs(\))13 b Fu(x)g Fx(:=)g Fu(s)p
Fx(2\()p Fu(i;)8 b(i)p Fx(\))1109 1807 y Fu(x)i Fs(\003)g
Fu(v)r Fx(1\()p Fu(i)p Fx(\);)111 b Fs(\))13 b Fu(s)p
Fx(2\()p Fu(i;)8 b(i)p Fx(\))g Fs(\003)i Fu(v)r Fx(1\()p
Fu(i)p Fx(\))1084 1884 y(F)l(rom)19 b(the)h(standard)g(p)q(oin)o(t)g
(of)h(view,)g(the)f(second)1084 1940 y(output)f(is)f(incorrect)h(due)g
(to)g(the)g(fact)f(that)h(three)1084 1996 y(indices)c(with)g(the)h
(same)e(name)g(are)i(presen)o(t.)k(Ho)o(w-)1084 2053
y(ev)o(er,)e(the)f(input)h(has)g(not)f(b)q(een)i(recognized)f(as)f(an)
1084 2109 y(error.)i(If)c(one)h(switc)o(hes)e(on)h(the)h(\015ag)1084
2189 y Fu(on)38 b(dummy)r(pr)q(i)p Fx(;)1084 2270 y(and)18
b(then)h(rep)q(eats)f(the)h(previous)f(input)g(then)h(one)1084
2326 y(gets)14 b(the)i(follo)o(wing)d(output:)1109 2406
y Fu(x)d Fs(\003)g Fu(v)r Fx(1\()p Fu(i)p Fx(\);)47 b
Fs(\))13 b Fu(s)p Fx(2\()p Fu(i)1473 2413 y Fm(23)1510
2406 y Fu(;)8 b(i)1547 2413 y Fm(24)1583 2406 y Fx(\))i
Fs(\003)g Fu(v)r Fx(1\()p Fu(i)p Fx(\))1084 2486 y(Hence,)21
b(the)f(\014rst)f(t)o(w)o(o)g Fu(i)p Fx('s)g(are)g(dummies)f(and)i(the)
1084 2543 y(last)14 b(one)h(is)g(a)g(free)g(index.)1143
2599 y(If)e(a)g(user)h(w)o(ould)e(lik)o(e)h(to)f(output)h(the)g
Fo(K)p Fx(-basis)g(of)1084 2655 y(the)18 b(pro)q(duct)h(of)g(the)f
(tensors)h Fu(s)1656 2662 y Fm(2)1694 2655 y Fx(and)g
Fu(a)1810 2662 y Fm(3)1830 2655 y Fx(,)g(the)f(fol-)1039
2827 y Fr(13)p eop
%%Page: 14 14
14 13 bop 118 154 a Fx(lo)o(wing)17 b(format)f(of)h(the)i(command)d
Fu(K)s(B)r(AS)s(I)t(S)k Fx(has)118 210 y(to)15 b(b)q(e)h(used:)118
290 y Fu(k)q(basis)25 b(s)p Fx(2\()p Fu(a)p Fx(3\);)168
369 y Fs(\))68 b Fu(a)p Fx(3\()p Fu(j;)8 b(i;)g(k)q Fx(\))f
Fs(\003)j Fu(s)p Fx(2\()p Fu(i;)e(j)s Fx(\))g(+)i Fu(a)p
Fx(3\()p Fu(k)q(;)e(i;)g(j)s Fx(\))f Fs(\003)i Fu(s)p
Fx(2\()p Fu(j;)f(i)p Fx(\))168 425 y Fs(\))68 b Fu(a)p
Fx(3\()p Fu(j;)8 b(i;)g(k)q Fx(\))f Fs(\003)j Fu(s)p
Fx(2\()p Fu(j;)e(i)p Fx(\))g(+)i Fu(a)p Fx(3\()p Fu(k)q(;)e(i;)g(j)s
Fx(\))f Fs(\003)j Fu(s)p Fx(2\()p Fu(j;)e(i)p Fx(\))168
482 y(.....)168 538 y Fs(\))68 b Fx(110)118 698 y Fd(10.2)e(Riemann)23
b(tensor)118 783 y Fx(Let)c(us)f(in)o(tro)q(duce)h(the)g(Riemann)e
(tensor)h(and)h(the)118 840 y(standard)c(set)g(of)g(its)f
Fo(S-I)h Fx(relations:)177 896 y Fu(tensor)27 b(r)q(i)p
Fx(;)118 953 y Fu(tsy)r(m)f(r)q(i)p Fx(\()p Fu(i;)8 b(j;)g(k)q(;)f(l)q
Fx(\))f(+)11 b Fu(r)q(i)p Fx(\()p Fu(j;)d(i;)g(k;)g(l)q
Fx(\))o(;)118 1009 y Fu(tsy)r(m)26 b(r)q(i)p Fx(\()p
Fu(i;)8 b(j;)g(k)q(;)f(l)q Fx(\))f(+)11 b Fu(r)q(i)p
Fx(\()p Fu(i;)d(j;)g(l;)f(k)q Fx(\);)118 1066 y Fu(tsy)r(m)26
b(r)q(i)p Fx(\()p Fu(i;)8 b(j;)g(k)q(;)f(l)q Fx(\))f(+)11
b Fu(r)q(i)p Fx(\()p Fu(i;)d(k)q(;)g(l)q(;)f(j)r Fx(\))g(+)j
Fu(r)q(i)p Fx(\()p Fu(i;)e(l)q(;)g(j;)f(k)q Fx(\);)177
1146 y(The)27 b Fo(K)323 1153 y Fc(0)346 1146 y Fx(-basis)g(consists)f
(of)g(22)h(v)o(ectors)f(\(see)118 1202 y(TEST)h(R)o(UN)g(OUTPUT\))g
(and)g(the)g(full)g(v)o(ector)118 1259 y(space)19 b(has)g(4!)f(=)h(24)f
(dimensions.)29 b(Th)o(us,)19 b(an)o(y)g(ex-)118 1315
y(pressions)13 b(whic)o(h)g(are)g(linear)g(com)o(binations)e(of)i(Rie-)
118 1372 y(mann)24 b(tensors)g(with)f(p)q(erm)o(uted)h(indices)h(can)g
(b)q(e)118 1428 y(simpli\014ed)c(to)h(expressions)g(con)o(taining)f
(only)h(t)o(w)o(o)118 1484 y(basic)15 b(tensors)372 1468
y Fm(8)391 1484 y Fx(.)177 1541 y(This)k(set)g(of)g(prop)q(erties)h
(leads)f(us)g(to)g(the)h(v)o(ery)118 1597 y(imp)q(ortan)o(t)11
b(symmetry)f(prop)q(ert)o(y)i(of)h(Riemann)f(ten-)118
1654 y(sor)i(with)g(resp)q(ect)h(to)f(the)h(exc)o(hange)g(of)f(pairs)g
(of)g(in-)118 1710 y(dices:)177 1767 y Fu(r)q(i)p Fx(\()p
Fu(i;)8 b(j;)g(k)q(;)f(l)q Fx(\))g Fs(\000)j Fu(r)q(i)p
Fx(\()p Fu(k)q(;)e(l)q(;)g(i;)f(j)r Fx(\);)95 b Fs(\))13
b Fx(0)177 1847 y(Let)j(us)f(consider)g(some)f(more)g(examples,)118
1927 y Fu(r)q(i)p Fx(\()p Fu(m;)8 b(n;)g(m;)g(n)p Fx(\))f
Fs(\000)j Fu(r)q(i)p Fx(\()p Fu(m;)e(n;)g(n;)g(m)p Fx(\))603
1983 y Fs(\))13 b Fx(2)d Fs(\003)g Fu(r)q(i)p Fx(\()p
Fu(m;)e(n;)g(m;)g(n)p Fx(\).)177 2063 y(An)o(y)16 b(tensors)g
(expressions)g(consists)f(of)h(Rieman)118 2120 y(tensors)i(ma)o(y)f(b)q
(e)j(expressed)f(through)g(summ)d(of)j(2)118 2176 y(ones:)118
2256 y Fu(r)q(i)p Fx(\()p Fu(i;)8 b(j;)g(k)q(;)f(l)q
Fx(\))35 b(+)k Fu(r)q(i)p Fx(\()p Fu(j;)8 b(k)q(;)g(l)q(;)f(i)p
Fx(\))35 b(+)k Fu(r)q(i)p Fx(\()p Fu(k)q(;)8 b(l)q(;)g(i;)f(j)s
Fx(\))35 b(+)118 2313 y Fu(r)q(i)p Fx(\()p Fu(l)q(;)8
b(i;)g(j)o(;)g(k)p Fx(\);)249 2369 y Fs(\))13 b Fx(\()p
Fs(\000)p Fx(2\))c Fs(\003)h Fu(r)q(i)p Fx(\()p Fu(l)q(;)e(j;)g(i;)f(k)
q Fx(\))g(+)j(4)g Fs(\003)g Fu(r)q(i)p Fx(\()p Fu(l)q(;)e(i;)g(j)o(;)g
(k)p Fx(\))177 2449 y(A)15 b(more)e(complicated)g(example)h(with)g(m)o
(ultipli-)118 2506 y(cation)f(of)g(the)h(Riemann)f(tensor)h(and)f(the)h
(an)o(tisym-)p 118 2549 370 2 v 174 2579 a Fh(8)193 2594
y Fv(This)g(simpli\014cation)i(has)e(no)g(relation)h(to)f(the)g(n)o
(um-)118 2644 y(b)q(er)d(of)f(indep)q(enden)o(t)i(comp)q(onen)o(ts)f
(of)f(the)g(Riemann)h(cur-)118 2694 y(v)n(ature)j(tensor)h(in)g
(space-time)g(of)e(v)n(arious)h(dimensions)1084 154 y
Fx(metric)f(tensor)i Fu(a)p Fx(2)g(is)g(giv)o(en)g(in)g(the)g(section)g
Fo(TEST)1084 210 y(R)o(UN)i(OUTPUT)p Fx(.)1084 370 y
Fy(Ac)n(kno)n(wledgemen)n(ts)1084 471 y Fx(The)c(authors)g(are)g
(grateful)f(to)g(A.Grozin)g(for)h(useful)1084 528 y(discussions.)1143
584 y(This)i(w)o(ork)f(w)o(as)h(supp)q(orted)h(b)o(y)f(Russian)h(F)l
(oun-)1084 641 y(dation)c(for)g(F)l(undamen)o(tal)f(Researc)o(h)i
(\(gran)o(t)f(93-02-)1084 697 y(14428\).)1084 857 y Fy(References)1084
958 y Fx([1])23 b(L.D.Landau)f(and)g(E.M.Lifshitz,)f
Fz(Field)h(The-)1133 1015 y(ory)p Fx(,)16 b(\(Mosco)o(w,)d(Nauk)m(a,)i
(1973,)f(in)h(Russian\);)1133 1071 y(J.A.Sc)o(houten,)h
Fz(T)m(ensor)g(analysis)f(for)j(physicist)p Fx(,)1133
1128 y(\(Oxford,)d(1951\).)1084 1222 y([2])23 b(A.T)l(rautman,)13
b Fz(Symp.)j(Math.)p Fx(,)f Fo(12)h Fx(\(1973\))d(139;)1133
1278 y(F.W.Hehl)g(et)g(al.,)f Fz(R)n(ev.)i(Mo)n(d.)h(Phys.)p
Fx(,)e Fo(48)h Fx(\(1976\))1133 1335 y(393;)1133 1391
y(Y)l(u.N.Obukho)o(v)e(and)g(P)l(.I.Pronin,)g Fz(A)n(cta)g(Physic)n(a)
1133 1447 y(Polonic)n(a)p Fx(,)i Fo(B19)i Fx(\(1988\))d(341.)1084
1541 y([3])23 b(A.Y)l(a.Ro)q(diono)o(v)14 b(and)h(A.Y)l(u.T)l(arano)o
(v,)e Fz(L)n(e)n(ctur)n(e)1133 1598 y(Notes)f(in)g(Comp.)g(Sci.)d
Fo(378)p Fx(,)j(\(Pro)q(ceedins)f(of)f(EU-)1133 1654
y(R)o(OCAL'87,)15 b(1989\))f(192)1084 1748 y([4])23 b(V.A.Ilyin)k(et)g
(al.,)i(in:)44 b Fz(Pr)n(o)n(c.)27 b(of)h(IV)e(Inter-)1133
1804 y(national)20 b(c)n(onfer)n(enc)n(e)e(on)i(c)n(omputer)h(algebr)n
(a)e(in)1133 1861 y(physic)n(al)g(r)n(ese)n(ar)n(ch)g(\(Dubna)g(1990,)i
(22-26)g(May,)1133 1917 y(USSR\))14 b Fx(190-194.)1084
2011 y([5])23 b(M.A.Naimark,)12 b Fz(The)n(ory)k(of)g(gr)n(oup)g(r)n
(epr)n(esenta-)1133 2068 y(tion)p Fx(,)f(\(Mosco)o(w,)e(Nauk)m(a,)i
(1976,)f(in)h(Russian\).)1084 2161 y([6])23 b(B.Buc)o(h)o(burger,)41
b(G.E.Collins)32 b(and)k(R.Lo)q(os,)1133 2218 y Fz(Computer)i(A)o
(lgebr)n(a)e(-)h(symb)n(olic)f(and)h(alge-)1133 2274
y(br)n(aic)12 b(c)n(omputation)p Fx(,)g(\(second)f(edition,)f
(Springer,)1133 2331 y(1983\).)1084 2425 y([7])23 b(A.C.Hearn,)15
b Fz(REDUCE)i(USER'S)f(MANUAL,)1133 2481 y(version)22
b(3.3)p Fx(,)i(\(The)e(Rand)h(publication)e(CP78,)1133
2538 y(Rev.)16 b(7.87,)d(1987\).)1084 2631 y([8])23 b(V.A.Ilyin)28
b(and)g(A.P)l(.Kryuk)o(o)o(v,)i(in)e(Pro)q(c.)g(of)1133
2688 y(the)21 b(In)o(t.)g(Symp.)e(of)i(Sym)o(b)q(olic.)e(and)i
(Algebraic)1039 2827 y Fr(14)p eop
%%Page: 15 15
15 14 bop 168 154 a Fx(Computation)14 b(\(ISSA)o(C'91\),)h(July)h
(15-17,)g(1991,)168 210 y(Bonn,)26 b(Ed.)e(b)o(y)g(S.W)l(att,)h(A)o(CM)
f(Press)g(\(1991\))168 267 y(224.)118 360 y([9])f(V.A.Ilyin)13
b(and)h(A.P)l(.Kryuk)o(o)o(v,)f(in)g("New)h(Com-)168
417 y(puting)21 b(tec)o(hniques)h(in)f(Ph)o(ysics)g(Researc)o(h)h(I)q
(I",)168 473 y(Pro)q(c.)34 b(of)f(AIHENP-92,)39 b(Ed.)34
b(b)o(y)g(D.P)o(erret-)168 530 y(Gallix,)22 b(W)l(orld)g(Scien)o
(ti\014c,)h(Singap)q(ore,)h(\(1992\))168 586 y(639-648.)118
680 y([10])f(R.J.)f(Bradford,)g(A.C.)f(Hearn,)i(J.A.)e(P)o(adget)168
736 y(and)g(E.)g(Sc)o(hr)q(\177)-24 b(ufer,)22 b(\\Enlarging)e(the)h
Fz(REDUCE)168 793 y Fx(Domain)h(of)j(Computation,")f(Pro)q(c.)g(of)g
(SYM-)168 849 y(SA)o(C)15 b('86,)f(A)o(CM,)g(New)h(Y)l(ork)g(\(1986\))e
(100.)118 943 y([11])23 b(S.A.F)l(ulling,)45 b(R.C.King,)h(B.G.Wyb)q
(ourne)168 1000 y(and)18 b(C.J.Cummi)o(ns)d(Class.)h(Quan)o(tum)h(Gra)o
(v.)f Fo(9)168 1056 y Fx(\(1992\))d(1151-1197.)118 1150
y([12])23 b(D.E.)35 b(Kn)o(uth,)41 b Fz(F)m(undamental)35
b(A)o(lgorithms,)168 1206 y(vol.)25 b(1)h(of)g(the)f("A)o(rt)h(of)g
(Computer)g(Pr)n(o)n(gr)n(am-)168 1263 y(ming")15 b Fx(\(Addison-W)l
(esley)l(,)g(1968\).)1039 2827 y Fr(15)p eop
%%Page: 16 16
16 15 bop 664 154 a Fy(TEST)26 b(R)n(UN)h(OUTPUT)118
264 y Fa(\045**************************)o(*******)o(********)o(*******)
o(*******)o(********)o(******)118 320 y(\045)620 b(ATENSOR)47
b(TEST)g(RUN.)118 377 y(\045)118 433 y(\045)549 b(V.A.Ilyin)22
b(&)i(A.P.Kryukov)118 490 y(\045)430 b(E-mail:)70 b
(ilyin@theory.npi.msu.su)118 546 y(\045)620 b
(kryukov@theory.npi.msu.su)118 603 y(\045)118 659 y(\045)382
b(Nucl.)23 b(Phys.)g(Inst.,)g(Moscow)g(State)g(Univ.)118
716 y(\045)573 b(119899)23 b(Moscow,)g(RUSSIA)118 772
y(\045**************************)o(*******)o(********)o(*******)o
(*******)o(********)o(******)118 885 y(\045)h(First)f(of)h(all)f(we)h
(have)f(to)h(load)f(the)g(ATENSOR)g(program)g(using)g(the)h(one)f(of)h
(the)118 941 y(\045)g(following)e(command:)118 998 y(\045)167
b(1\))24 b(in)f("atensor.red"$)213 b(\045)24 b(If)f(we)h(load)f(source)
g(code)118 1054 y(\045)167 b(2\))24 b(load)f(atensor$)309
b(\045)24 b(If)f(we)h(load)f(binary)g(\(compiled\))g(code.)118
1111 y(load)g(atensor;)118 1224 y(\(atensor\))118 1337
y(\045)h(To)f(control)g(of)h(total)f(execution)g(time)g(clear)g(timer:)
118 1393 y(showtime;)118 1506 y(Time:)g(0)h(ms)118 1619
y(\045)g(Switch)f(on)g(the)h(switch)f(TIME)g(to)h(control)f(of)g
(executing)g(time)118 1675 y(\045)h(for)f(each)h(statement.)118
1732 y(\045on)g(time$)118 1845 y(\045)g(Let)f(us)h(introduce)f(the)g
(antisymmetric)f(tensor)h(of)h(the)f(second)g(order.)118
1901 y(tensor)g(a2;)118 2014 y(\045)h(The)f(antisymmetric)f(property)h
(can)h(be)f(expressed)g(as:)118 2071 y(tsym)g(a2\(i,j\)+a2\(j,i\);)118
2183 y(\045)h(The)f(K-basis)g(that)h(span)f(K)h(subspace)e(is:)118
2240 y(kbasis)h(a2;)118 2353 y(a2\(i,j\))g(+)h(a2\(j,i\))118
2409 y(1)118 2522 y(\045)g(Let)f(us)h(input)f(very)g(simple)g(example:)
118 2579 y(a2\(k,k\);)118 2692 y(0)1039 2827 y Fr(16)p
eop
%%Page: 17 17
17 16 bop 118 210 a Fa(\045)24 b(By)f(the)h(way)f(the)h(next)f(two)h
(expressions)e(looks)h(like)g(different)g(ones:)118 267
y(a2\(i,j\);)118 379 y(a2\(i,j\))118 492 y(a2\(j,i\);)118
605 y(a2\(j,i\))118 718 y(\045)h(But)f(the)h(difference)e(of)i(them)f
(has)h(a)f(correct)g(value:)118 775 y(a2\(j,i\)-a2\(i,j\);)118
888 y(2*a2\(j,i\))118 1000 y(\045)h(Next)f(examples.)g(For)g(this)h
(purpose)e(we)i(introduce)f(3)g(abstract)118 1057 y(\045)h(vectors)f(-)
g(v1,v2,v3:)118 1113 y(tensor)g(v1,v2,v3;)118 1226 y(\045)h(The)f
(following)g(expression)f(equal)i(zero:)118 1283 y
(a2\(i,j\)*v1\(i\)*v1\(j\);)118 1396 y(0)118 1509 y(\045)g(It)f(is)h
(interest)f(that)g(the)h(result)f(is)g(consequence)g(of)g(the)h
(equivalence)118 1565 y(\045)g(of)f(the)h(name)f(of)h(tensors.)118
1678 y(\045)g(While)f(the)g(next)h(one)f(-)h(not:)118
1734 y(a2\(i,j\)*v1\(i\)*v2\(j\);)118 1847 y(a2\(i,j\)*v1\(i\)*v2\(j\))
118 1960 y(\045)g(Well.)f(Let)g(us)h(introduce)f(the)g(symmetric)g
(tensor)g(of)g(the)h(second)f(order.)118 2017 y(tensor)g(s2;)118
2130 y(tsym)g(s2\(i,j\)-s2\(j,i\);)118 2299 y(\045)h(Their)f(K-basis)g
(look)g(like)h(for)f(a2)h(excepted)e(sign:)118 2355 y(kbasis)h(s2;)118
2468 y(s2\(j,i\))g(+)h(\(-1\)*s2\(i,j\))118 2525 y(1)118
2638 y(\045)g(Of)f(course)g(the)h(contraction)e(symmetric)47
b(and)23 b(antisymmetric)f(tensors)118 2694 y(\045)i(equal)f(zero:)1039
2827 y Fr(17)p eop
%%Page: 18 18
18 17 bop 118 154 a Fa(a2\(i,j\)*s2\(i,j\);)118 267 y(0)118
379 y(\045)24 b(By)f(the)h(way,)f(the)h(next)f(example)g(not)g(so)h
(trivial)f(for)g(computer...)118 436 y(a2\(i,j\)*a2\(j,k\)*a2\(k,i\);)
118 549 y(0)118 662 y(\045)h(Much)f(more)g(interesting)g(examples)g(we)
g(can)h(demonstrate)e(with)h(the)118 718 y(\045)h(the)f(tensor)g
(higher)g(order.)g(For)h(example)f(full)g(antisymmetric)f(tensor)118
775 y(\045)i(of)f(the)h(third)f(order:)118 831 y(tensor)g(a3;)118
944 y(\045)h(The)f(antisymmetric)f(property)h(we)h(can)f(introduce)g
(through)g(the)118 1000 y(\045)h(permutation)e(of)i(the)f(two)h(first)f
(indices:)118 1057 y(tsym)g(a3\(i,j,k\)+a3\(j,i,k\);)118
1170 y(\045)h(And)f(the)h(cyclic)f(permutation)f(all)i(of)f(them:)118
1226 y(tsym)g(a3\(i,j,k\)-a3\(j,k,i\);)118 1339 y(\045)h(The)f(K)h
(basis)f(of)h(a3)f(consist)g(of)h(5)g(vectors:)118 1396
y(kbasis)f(a3;)118 1509 y(a3\(k,i,j\))g(+)g(a3\(j,i,k\))118
1565 y(a3\(k,j,i\))g(+)g(\(-1\)*a3\(j,i,k\))118 1621
y(a3\(i,k,j\))g(+)g(\(-1\)*a3\(j,i,k\))118 1678 y(a3\(i,j,k\))g(+)g
(a3\(j,i,k\))118 1734 y(a3\(j,k,i\))g(+)g(a3\(j,i,k\))118
1791 y(5)118 1904 y(\045)h(In)f(the)h(beginning)f(some)g(very)g(simple)
g(examples:)118 1960 y(a3\(i,k,i\);)118 2073 y(0)118
2186 y(a3\(i,j,k\)*s2\(i,j\);)118 2299 y(0)118 2412 y(\045)h(The)f
(full)h(symmetric)e(tensor)h(of)h(the)f(third)h(order)f(may)g(be)h
(introduce)118 2468 y(\045)g(by)f(the)h(similar)f(way:)118
2525 y(tensor)g(s3;)118 2638 y(tsym)g(s3\(i,j,k\)-s3\(j,i,k\);)1039
2827 y Fr(18)p eop
%%Page: 19 19
19 18 bop 118 154 a Fa(tsym)23 b(s3\(i,j,k\)-s3\(j,k,i\);)118
267 y(kbasis)g(s3;)118 379 y(s3\(k,j,i\))g(+)g(\(-1\)*s3\(i,j,k\))118
436 y(s3\(k,i,j\))g(+)g(\(-1\)*s3\(i,j,k\))118 492 y(s3\(j,k,i\))g(+)g
(\(-1\)*s3\(i,j,k\))118 549 y(s3\(j,i,k\))g(+)g(\(-1\)*s3\(i,j,k\))118
605 y(s3\(i,k,j\))g(+)g(\(-1\)*s3\(i,j,k\))118 662 y(5)118
775 y(\045)h(The)f(next)h(examples)e(demonstrate)h(some)g(calculation)f
(with)i(them:)118 831 y(s3\(i,j,k\)-s3\(i,k,j\);)118
944 y(0)118 1057 y(s3\(i,j,k\)*a2\(i,j\);)118 1170 y(0)118
1283 y(a3\(i,j,k\)*s2\(i,j\);)118 1396 y(0)118 1509 y
(s3\(i,j,k\)*a3\(i,j,k\);)118 1621 y(0)118 1734 y(\045)g(Now)f(we)h
(consider)f(very)g(important)g(physical)f(case)i(-)f(Rieman)g(tensor:)
118 1791 y(tensor)g(ri;)118 1904 y(\045)h(It)f(has)h(the)f
(antisymmetric)f(property)h(with)h(respect)e(to)i(the)f(permutation)118
1960 y(\045)h(of)f(the)h(first)f(two)h(indices:)118 2017
y(tsym)f(ri\(i,j,k,l\))g(+)h(ri\(j,i,k,l\);)118 2130
y(\045)g(It)f(has)h(the)f(antisymmetric)f(property)h(with)h(respect)e
(to)i(the)f(permutation)118 2186 y(\045)h(of)f(the)h(second)f(two)g
(indices:)118 2242 y(tsym)g(ri\(i,j,k,l\))g(+)h(ri\(i,j,l,k\);)118
2355 y(\045)g(And)f(the)h(triple)f(term)g(identity)g(with)g(cyclic)g
(permutation)g(the)118 2412 y(\045)h(third)f(of)h(them:)118
2468 y(tsym)f(ri\(i,j,k,l\))g(+)h(ri\(i,k,l,j\))e(+)i(ri\(i,l,j,k\);)
118 2581 y(\045)g(The)f(corresponding)f(K)i(basis)f(consist)g(of)h
(22\(!\))f(vectors:)118 2638 y(kbasis)g(ri;)1039 2827
y Fr(19)p eop
%%Page: 20 20
20 19 bop 118 154 a Fa(ri\(l,k,i,j\))22 b(+)i(\(-1\)*ri\(j,i,k,l\))118
210 y(ri\(l,k,j,i\))e(+)i(ri\(j,i,k,l\))118 267 y(ri\(l,i,k,j\))e(+)i
(\(-1\)*ri\(j,k,i,l\))118 323 y(ri\(l,i,j,k\))e(+)i(ri\(j,k,i,l\))118
379 y(ri\(l,j,k,i\))e(+)i(\(-1\)*ri\(j,k,i,l\))e(+)i(ri\(j,i,k,l\))118
436 y(ri\(l,j,i,k\))e(+)i(ri\(j,k,i,l\))f(+)g(\(-1\)*ri\(j,i,k,l\))118
492 y(ri\(k,l,i,j\))f(+)i(ri\(j,i,k,l\))118 549 y(ri\(k,l,j,i\))e(+)i
(\(-1\)*ri\(j,i,k,l\))118 605 y(ri\(k,i,l,j\))e(+)i
(\(-1\)*ri\(j,k,i,l\))e(+)i(ri\(j,i,k,l\))118 662 y(ri\(k,i,j,l\))e(+)i
(ri\(j,k,i,l\))f(+)g(\(-1\)*ri\(j,i,k,l\))118 718 y(ri\(k,j,l,i\))f(+)i
(\(-1\)*ri\(j,k,i,l\))118 775 y(ri\(k,j,i,l\))e(+)i(ri\(j,k,i,l\))118
831 y(ri\(i,l,k,j\))e(+)i(ri\(j,k,i,l\))118 888 y(ri\(i,l,j,k\))e(+)i
(\(-1\)*ri\(j,k,i,l\))118 944 y(ri\(i,k,l,j\))e(+)i(ri\(j,k,i,l\))f(+)g
(\(-1\)*ri\(j,i,k,l\))118 1000 y(ri\(i,k,j,l\))f(+)i
(\(-1\)*ri\(j,k,i,l\))e(+)i(ri\(j,i,k,l\))118 1057 y(ri\(i,j,l,k\))e(+)
i(\(-1\)*ri\(j,i,k,l\))118 1113 y(ri\(i,j,k,l\))e(+)i(ri\(j,i,k,l\))118
1170 y(ri\(j,l,k,i\))e(+)i(ri\(j,k,i,l\))f(+)g(\(-1\)*ri\(j,i,k,l\))118
1226 y(ri\(j,l,i,k\))f(+)i(\(-1\)*ri\(j,k,i,l\))e(+)i(ri\(j,i,k,l\))118
1283 y(ri\(j,k,l,i\))e(+)i(ri\(j,k,i,l\))118 1339 y(ri\(j,i,l,k\))e(+)i
(ri\(j,i,k,l\))118 1396 y(22)118 1509 y(\045)g(So)f(we)h(get)f(the)h
(answer)f(for)g(any)h(expressions)e(with)i(3)f(and)h(more)f(terms)g(of)
118 1565 y(\045)h(Rieman)f(tensors)g(with)g(not)h(more)f(then)g(2)h
(terms.)f(For)g(example:)118 1621 y(ri\(i,j,k,l\)+ri\(j,k,l,i\)+ri\()o
(k,l,i,j)o(\)+ri\(l,i)o(,j,k\);)118 1734 y(\(-2\)*ri\(l,j,i,k\))f(+)i
(4*ri\(l,i,j,k\))118 1847 y(\045)g(This)f(three)g(identities)g(leads)g
(us)h(to)f(very)h(important)e(symmetry)h(property)g(with)118
1904 y(\045)h(respect)f(to)g(exchange)g(of)h(pairs)f(indices:)118
1960 y(ri\(i,j,k,l\)-ri\(k,l,i,j\);)118 2073 y(0)118
2186 y(\045)h(Let)f(us)h(start)f(with)g(simple)g(example:)118
2242 y(ri\(m,n,m,n\)-ri\(m,n,n,m\);)118 2355 y(2*ri\(m,n,m,n\))118
2468 y(\045)h(Much)f(more)g(complicated)g(example)g(is:)118
2525 y(a2\(m,n\)*ri\(m,n,c,d\))e(+)j(a2\(k,l\)*ri\(c,d,l,k\);)118
2638 y(0)1039 2827 y Fr(20)p eop
%%Page: 21 21
21 20 bop 118 154 a Fa(\045)24 b(The)f(answer)g(is)h(trivial)f(but)g
(not)h(so)f(simple)g(to)h(obtain)f(one.)118 267 y(\045)h(The)f
(dimension)g(of)h(the)f(full)g(space)g(is)h(6!)g(=)f(720.)118
323 y(\045)h(The)f(K)h(basis)f(consists)g(of)h(690)f(vectors)g(\(to)g
(reduce)g(output)g(we)118 379 y(\045)h(commented)e(the)i(last)f
(statement\):)118 436 y(\045kbasis)g(ri\(a2\);)118 549
y(\045)h(One)f(else)h(nontrivial)e(examples)h(with)g(Riemann)g
(tensors:)118 605 y(\(ri\(i,j,k,l\)-ri\(i,k,j,l\)\)*a)o(2\(i,j\);)142
718 y(a2\(i,j\)*ri\(i,j,k,l\))118 775 y(---------------------)357
831 y(2)118 944 y(\045*****************)f(END)h(OF)h(TEST)f(RUN)g
(************************)118 1000 y(\045)h(The)f(total)g(execution)g
(time)g(is:)118 1057 y(showtime;)118 1170 y(Time:)g(196940)g(ms)48
b(plus)23 b(GC)h(time:)f(10670)g(ms)118 1283 y($)118
1396 y(END$)1039 2827 y Fr(21)p eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF



REDUCE Historical
REDUCE Sourceforge Project | Historical SVN Repository | GitHub Mirror | SourceHut Mirror | NotABug Mirror | Chisel Mirror | Chisel RSS ]