{VERSION 2 3 "APPLE_PPC_MAC" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "##### 3.10" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 91 "op1:=annihiloper( q^(j^2) * qfac(-1,q^2,j) / (qfac( q,q^2,j) * spqfac(q^2,q^2,j)), 0, back);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$op1G,(\"\"\"F&*&,(%\"qGF&F&F&)F),&!\"\"F&%\"nG\"\"#F&F&%\"NGF ,F,*&,&F)F,)F),&!\"$F&F-F.F&F&F/!\"#F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "A:=appl yshiftop(op1, q^(2*j^2 + j) *(T0(n,2*j,1) + T0(n-1,2*j,1)));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%\"AG,2*&-%#T0G6%,&%\"nG\"\"\"!\"$F,,$%\"jG \"\"#F,F,)%\"qG,(*$F/F0F0F/F,F,F,F,F,*&-F(6%,&F+F,!\"#F,F.F,F,)F2,*F4F 0F/F,F-F,F+F0F,!\"\"*&F'F,F:F,F<*&F1F,-F(6%,&F+F,F " 0 "" {MPLTEXT 1 0 14 "A2:= eT0(8,A); " }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A2G,6*&-%#T0G6%,&%\"nG\"\"\"!\" $F,,$%\"jG\"\"#F,F,)%\"qG,(*$F/F0F0F/F,F,F,F,F,*&-F(6%,&F+F,!\"#F,F.F, F,)F2,*F4F0F/F,F-F,F+F0F,!\"\"*&F'F,F:F,F<*&F1F,-F(6%,&F+F,F " 0 "" {MPLTEXT 1 0 15 "A3:= sym(8,A2);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>% #A3G,6*&-%#T0G6%,&%\"nG\"\"\"!\"$F,,$%\"jG\"\"#F,F,)%\"qG,(*$F/F0F0F/F ,F,F,F,F,*&-F(6%,&F+F,!\"#F,F.F,F,)F2,*F4F0F/F,F-F,F+F0F,!\"\"*&F'F,F: F,F<*&F1F,-F(6%,&F+F,F " 0 "" {MPLTEXT 1 0 15 "A4:= eT0(8,A3);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A4G,:*&-%#T0G6%,&%\"nG\"\"\"!\"$F,, $%\"jG\"\"#F,F,)%\"qG,(*$F/F0F0F/F,F,F,F,F,*&-F(6%,&F+F,!\"#F,F.F,F,)F 2,*F4F0F/F,F-F,F+F0F,!\"\"*&F'F,F:F,F<*&F1F,-F(6%,&F+F,F " 0 "" {MPLTEXT 1 0 14 "A5:=sym(5,A4);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A5G,6*&-%#T0G6%,&%\"nG\"\"\"!\"$F,,$%\"jG\"\"#F,F,)%\"qG,(*$F /F0F0F/F,F,F,F,F,*&-F(6%,&F+F,!\"#F,F.F,F,)F2,*F4F0F/F,F-F,F+F0F,!\"\" *&F'F,F:F,F<*&F1F,-F(6%,&F+F,F " 0 "" {MPLTEXT 1 0 15 "A6:= eT0(4,A5);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A6G,:*&-%#T0G6%,&%\"nG\"\"\"!\"$F,,$%\"jG\"\"#F,F,)%\"qG,(*$F/F0 F0F/F,F,F,F,F,*&-F(6%,&F+F,!\"#F,F.F,F,)F2,*F4F0F/F,F-F,F+F0F,!\"\"*&F 'F,F:F,F<*&F1F,-F(6%F8,&F/F0F " 0 "" {MPLTEXT 1 0 14 "A7:=sym(4,A6);" }}{PARA 12 "" 1 "" {XPPMATH 20 " 6#>%#A7G,:*&-%#T0G6%,&%\"nG\"\"\"!\"$F,,$%\"jG\"\"#F,F,)%\"qG,(*$F/F0F 0F/F,F,F,F,F,*&-F(6%,&F+F,!\"#F,F.F,F,)F2,*F4F0F/F,F-F,F+F0F,!\"\"*&F' F,F:F,F<*&F1F,-F(6%F8,&F/F9F,F,F,F,F<*&)F2,(F4F0F/\"\"$F+F,F,-%#T1GF7F ,F<*&)F2,*F4F0F/\"\"&F " 0 "" {MPLTEXT 1 0 14 "A8:=eT0(4,A7);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A8G,>*&-%#T 0G6%,&%\"nG\"\"\"!\"$F,,$%\"jG\"\"#F,F,)%\"qG,(*$F/F0F0F/F,F,F,F,F,*&- F(6%,&F+F,!\"#F,F.F,F,)F2,*F4F0F/F,F-F,F+F0F,!\"\"*&F'F,F:F,F<*&F1F,-F (6%F*,$F/F9F,F,F<*&)F2,(F4F0F/F " 0 "" {MPLTEXT 1 0 14 "A9:=sy m(1,A8);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A9G,:*&-%#T0G6%,&%\"nG \"\"\"!\"#F,,$%\"jG\"\"#F,F,)%\"qG,**$F/F0F0F/F,!\"$F,F+F0F,!\"\"*&-F( 6%,&F+F,F5F,F.F,F,F1F,F6*&)F2,(F4F0F/F6F+F,F,-%#T1G6%F:,&F/F-F,F,F,F,F 6*&)F2,*F4F0F/F5F6F,F+F0F,-F(6%F:,&F/F-F0F,F,F,F6*&)F2,(F4F0F/\"\"$F+F ,F,-F?F)F,F6*&)F2,*F4F0F/\"\"&F6F,F+F0F,-F(6%F*,&F/F0F,F,F,F,F6*&)F2,* F4F0F/F,F6F,F+F0F,-F(6%,&F+F,F6F,F.F,F,F6*&F'F,FUF,F6*&F " 0 "" {MPLTEXT 1 0 15 "A1 0:=eT1(9,A9);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A10G,6*&-%#T0G6%,& %\"nG\"\"\"!\"#F,,$%\"jG\"\"#F,F,)%\"qG,**$F/F0F0F/F,!\"$F,F+F0F,!\"\" *&-F(6%,&F+F,F5F,F.F,F,F1F,F6*&)F2,(F4F0F/\"\"$F+F,F,-%#T1GF)F,F6*&)F2 ,*F4F0F/\"\"&F6F,F+F0F,-F(6%F*,&F/F0F,F,F,F,F6*&)F2,*F4F0F/F,F6F,F+F0F ,-F(6%,&F+F,F6F,F.F,F,F6*&F'F,FIF,F6*&F1F,-F(6%F:,$F/F-F,F,F,*&)F2,(F4 F0F/F5F+F0F,-F(6%F*,&F/F-F0F,F,F,F,*&F " 0 "" {MPLTEXT 1 0 18 "A11 := \+ eT1(9,A10);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A11G,2*&-%#T0G6%,&% \"nG\"\"\"!\"#F,,$%\"jG\"\"#F,F,)%\"qG,**$F/F0F0F/F,!\"$F,F+F0F,!\"\"* &-F(6%,&F+F,F5F,F.F,F,F1F,F6*&)F2,*F4F0F/F,F6F,F+F0F,-F(6%,&F+F,F6F,F. F,F,F6*&F'F,F " 0 "" {MPLTEXT 1 0 17 " A12:= eT0(3,A11);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A12G,2*&-%#T0G 6%,&%\"nG\"\"\"!\"#F,,$%\"jG\"\"#F,F,)%\"qG,**$F/F0F0F/F,!\"$F,F+F0F,! \"\"*&-F(6%,&F+F,F5F,F.F,F,F1F,F6*&)F2,*F4F0F/\"\"$F-F,F+F>F,-%#T1GF)F ,F6*&)F2,*F4F0F/\"\"&F5F,F+\"\"%F,-F(6%F*,&F/F0F,F,F,F,F6*&F'F,)F2,*F4 F0F/F,F6F,F+F0F,F6*&F1F,-F(6%F:,$F/F-F,F,F,*&)F2,(F4F0F/F5F+F0F,-F(6%F *,&F/F-F0F,F,F,F,*&)F2,(F4F0F/FDF+F0F,-F(6%,&F+F,F6F,FHF,F,F," }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "A13:= sym(2,A12);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A13G,.*&-%#T0G6%,&%\"nG\"\"\"!\"#F,,$%\"j G\"\"#F,F,)%\"qG,**$F/F0F0F/F,!\"$F,F+F0F,!\"\"*&)F2,*F4F0F/\"\"$F-F,F +F:F,-%#T1GF)F,F6*&)F2,*F4F0F/\"\"&F5F,F+\"\"%F,-F(6%F*,&F/F0F,F,F,F,F 6*&F'F,)F2,*F4F0F/F,F6F,F+F0F,F6*&)F2,(F4F0F/F5F+F0F,-F(6%F*,&F/F-F0F, F,F,F,*&)F2,(F4F0F/F@F+F0F,-F(6%,&F+F,F6F,FDF,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "A14:= sym(6,A13);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A14G,.*&-%#T0G6%,&%\"nG\"\"\"!\"#F,,$%\"jG\"\"#F,F,) %\"qG,**$F/F0F0F/F,!\"$F,F+F0F,!\"\"*&)F2,*F4F0F/\"\"$F-F,F+F:F,-%#T1G F)F,F6*&)F2,*F4F0F/\"\"&F5F,F+\"\"%F,-F(6%F*,&F/F0F,F,F,F,F6*&F'F,)F2, *F4F0F/F,F6F,F+F0F,F6*&)F2,(F4F0F/F5F+F0F,-F(6%F*,&F/F-F0F,F,F,F,*&)F2 ,(F4F0F/F@F+F0F,-F(6%,&F+F,F6F,,&F/F-F6F,F,F,F," }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 17 "A15:= eT0(6,A14);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A15G,2*&-%#T0G6%,&%\"nG\"\"\"!\"#F,,$%\"jG\"\"#F,F,) %\"qG,**$F/F0F0F/F,!\"$F,F+F0F,!\"\"*&)F2,*F4F0F/\"\"$F-F,F+F:F,-%#T1G F)F,F6*&)F2,*F4F0F/\"\"&F5F,F+\"\"%F,-F(6%F*,&F/F0F,F,F,F,F6*&F'F,)F2, *F4F0F/F,F6F,F+F0F,F6*&)F2,(F4F0F/F5F+F0F,-F(6%F*,&F/F-F0F,F,F,F,*&)F2 ,(F4F0F/F@F+F0F,-F(6%F*,&F/F-F-F,F,F,F,*&F8F,-F<6%F*,&F/F-F6F,F,F,F,*& )F2,*F4F0F/F,F+FA!\"%F,F,-F(6%F*,$F/F-F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "A16:= sym(7,A15);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A16G,2*&-%#T0G6%,&%\"nG\"\"\"!\"#F,,$%\"jG\"\"#F,F,)%\"qG,**$ F/F0F0F/F,!\"$F,F+F0F,!\"\"*&)F2,*F4F0F/\"\"$F-F,F+F:F,-%#T1GF)F,F6*&) F2,*F4F0F/\"\"&F5F,F+\"\"%F,-F(6%F*,&F/F0F,F,F,F,F6*&F'F,)F2,*F4F0F/F, F6F,F+F0F,F6*&)F2,(F4F0F/F5F+F0F,-F(6%F*,&F/F-F0F,F,F,F,*&)F2,(F4F0F/F @F+F0F,-F(6%F*,&F/F-F-F,F,F,F,*&F8F,-F " 0 "" {MPLTEXT 1 0 16 "A1 7:= e0(2,A16);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A17G,.*&-%#T0G6%, &%\"nG\"\"\"!\"#F,,$%\"jG\"\"#F,F,)%\"qG,**$F/F0F0F/F,!\"$F,F+F0F,!\" \"*&)F2,*F4F0F/F,F+\"\"%!\"%F,F,F'F,F6*&F'F,)F2,*F4F0F/F,F6F,F+F0F,F6* &)F2,(F4F0F/F5F+F0F,-F(6%F*,&F/F-F0F,F,F,F,*&)F2,(F4F0F/\"\"&F+F0F,-F( 6%F*,&F/F-F-F,F,F,F,*&F8F,-F(6%F*,$F/F-F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A18:=sym(2,A17);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A18G,**&-%#T0G6%,&%\"nG\"\"\"!\"#F,,$%\"jG\"\"#F,F,)%\"qG,**$ F/F0F0F/F,!\"$F,F+F0F,!\"\"*&F'F,)F2,*F4F0F/F,F6F,F+F0F,F6*&)F2,(F4F0F /F5F+F0F,-F(6%F*,&F/F-F0F,F,F,F,*&)F2,(F4F0F/\"\"&F+F0F,-F(6%F*,&F/F-F -F,F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "A19:=shiftup(3 ,A18);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A19G,**&-%#T0G6%,&%\"nG\" \"\"!\"#F,,$%\"jG\"\"#F,F,)%\"qG,**$F/F0F0F/F,!\"$F,F+F0F,!\"\"*&F'F,) F2,*F4F0F/F,F6F,F+F0F,F6*&F8F,-F(6%F*,$F/F-F,F,F,*&)F2,(F4F0F/\"\"&F+F 0F,-F(6%F*,&F/F-F-F,F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A20:=sym(2,A19);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A20G,&*&-%# T0G6%,&%\"nG\"\"\"!\"#F,,$%\"jG\"\"#F,F,)%\"qG,**$F/F0F0F/F,!\"$F,F+F0 F,!\"\"*&)F2,(F4F0F/\"\"&F+F0F,-F(6%F*,&F/F-F-F,F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "A21:=shiftdown(2,A20);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A21G,&*&-%#T0G6%,&%\"nG\"\"\"!\"#F,,$%\"jG\" \"#F,F,)%\"qG,**$F/F0F0F/F,!\"$F,F+F0F,!\"\"*&F1F,-F(6%F*,$F/F-F,F,F, " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A22:=sym(2,A21);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A22G\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "3 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }