{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 16 "########### 3.68" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 123 "op1:= annihiloper( q^(j^2 \+ + 2*j) * qfac(-q^4,q^4,j) / qfac(-q^2,q^2, j+1) / qfac( q,q^2,j+1) / s pqfac(q^2,q^2,j), 0, back);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$op1G ,*\"\"\"F&*&,**$%\"qG\"\"#!\"\"F*F&F&F&)F*,&%\"nGF+F&F&F&F&%\"NGF,F,*& ,(*$F*\"\"$F&F)F&F*F,F&F0!\"#F,*&,&F3F,F-F&F&F0!\"$F," }}}{EXCHG {PARA 11 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "altsign:=true;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(altsignG%%t rueG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "A1:= applyshiftop(op1, q^(8*j^2 + 6*j) * U( n+1,4*j+1,1));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A1G,6*&)%\"qG,(*$ %\"jG\"\"#\"\")F+\"\"'\"\"$\"\"\"F0-%\"UG6%,&%\"nGF0!\"#F0,&F+\"\"%F0F 0F0F0F0*&)F(,*F*F-F+F.F5F,F0F0F0F1F0!\"\"*&)F(,(F*F-F+F.F0F0F0-F26%,&F 5F0FF0F<*&FJF0FDF0F0*&FJF0F:F0F<*&FHF0-F26%,&F5F0F 0F0F7F0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "A2:= eU1(5,A 1);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A2G,8*&)%\"qG,**$%\"jG\"\"# \"\")F+\"\"'%\"nGF,\"\"\"F0F0-%\"UG6%,&F/F0!\"#F0,&F+\"\"%F0F0F0F0!\" \"*&)F(,(F*F-F+F.F0F0F0-F26%,&F/F0F8F0F6F0F0F0*&)F(,(F*F-F+F.F,F0F0F " 0 "" {MPLTEXT 1 0 15 "A3:= e U1(9,A2);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A3G,:*&)%\"qG,**$%\"jG \"\"#\"\")F+\"\"'%\"nGF,\"\"\"F0F0-%\"UG6%,&F/F0!\"#F0,&F+\"\"%F0F0F0F 0!\"\"*&)F(,(F*F-F+F.F0F0F0-F26%,&F/F0F8F0F6F0F0F0*&)F(,(F*F-F+F.F/F,F 0F1F0F8*&)F(,*F*F-F+F,F0F0F/F0F0-%#T1G6%F4,$F+F7F0F0F8*&)F(,*F*F-F+\"# 5F7F0F/F0F0-FF6%F4,&F+F7\"\"$F0F0F0F8*&)F(,&F*F-F+F.F0-F26%F/F6F0F0F8* &FTF0F:F0F8*&F'F0FFHF0F0F0*&FJF0-FF6%F>FOF0F0F0*&FTF 0F'F0F8*&FRF0-F26%,&F/F0F0F0F6F0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "A4:= eU1(7,A3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>% #A4G,<*&)%\"qG,**$%\"jG\"\"#\"\")F+\"\"'%\"nGF,\"\"\"F0F0-%\"UG6%,&F/F 0!\"#F0,&F+\"\"%F0F0F0F0!\"\"*&)F(,(F*F-F+F.F/F,F0F1F0F8*&)F(,*F*F-F+F ,F0F0F/F0F0-%#T1G6%F4,$F+F7F0F0F8*&)F(,*F*F-F+\"#5F7F0F/F0F0-F@6%F4,&F +F7\"\"$F0F0F0F8*&)F(,&F*F-F+F.F0-F26%F/F6F0F0F8*&F:F0-F26%,&F/F0F8F0F 6F0F0F8*&)F(,(F*F-F+F,F/F0F0-F@6%FSFBF0F0F8*&)F(,*F*F-F+FFFJF0F/F0F0-F @6%FSFIF0F0F8*&F'F0FQF0F0*&F=F0FWF0F0*&FDF0FfnF0F0*&FNF0F'F0F8*&FLF0-F 26%,&F/F0F0F0F6F0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "A5 :=eU1(13,A4);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A5G,:*&)%\"qG,**$% \"jG\"\"#\"\")F+\"\"'%\"nGF,\"\"\"F0F0-%\"UG6%,&F/F0!\"#F0,&F+\"\"%F0F 0F0F0!\"\"*&)F(,(F*F-F+F.F/F,F0F1F0F8*&)F(,*F*F-F+F,F0F0F/F0F0-%#T1G6% F4,$F+F7F0F0F8*&)F(,*F*F-F+\"#5F7F0F/F0F0-F@6%F4,&F+F7\"\"$F0F0F0F8*&F :F0-F26%,&F/F0F8F0F6F0F0F8*&)F(,(F*F-F+F,F/F0F0-F@6%FNFBF0F0F8*&)F(,*F *F-F+FFFJF0F/F0F0-F@6%FNFIF0F0F8*&F'F0FLF0F0*&F=F0FRF0F0*&FDF0FWF0F0*& FPF0-F@6%F/FBF0F0F0*&FUF0-F@6%F/FIF0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A6:= eT1(11,A5);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#> %#A6G,:*&)%\"qG,**$%\"jG\"\"#\"\")F+\"\"'%\"nGF,\"\"\"F0F0-%\"UG6%,&F/ F0!\"#F0,&F+\"\"%F0F0F0F0!\"\"*&)F(,(F*F-F+F.F/F,F0F1F0F8*&)F(,*F*F-F+ F,F0F0F/F0F0-%#T1G6%F4,$F+F7F0F0F8*&)F(,*F*F-F+\"#5F7F0F/F0F0-F@6%F4,& F+F7\"\"$F0F0F0F8*&F:F0-F26%,&F/F0F8F0F6F0F0F8*&)F(,*F*F-F+FFFJF0F/F0F 0-F@6%FNFIF0F0F8*&F'F0FLF0F0*&F=F0-F@6%FNFBF0F0F0*&FDF0FRF0F0*&F:F0-%# T0GFMF0F0*&)F(,(F*F-F+F5F/F,F0-Fen6%FN,&F+F7F8F0F0F0F0*&FPF0-F@6%F/FIF 0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "A7:=eT1(8,A6);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A7G,:*&)%\"qG,**$%\"jG\"\"#\"\")F+ \"\"'%\"nGF,\"\"\"F0F0-%\"UG6%,&F/F0!\"#F0,&F+\"\"%F0F0F0F0!\"\"*&)F(, (F*F-F+F.F/F,F0F1F0F8*&)F(,*F*F-F+\"#5F7F0F/F0F0-%#T1G6%F4,&F+F7\"\"$F 0F0F0F8*&F:F0-F26%,&F/F0F8F0F6F0F0F8*&)F(,*F*F-F+F?FDF0F/F0F0-FA6%FHFC F0F0F8*&F'F0FFF0F0*&F:F0-%#T0GF3F0F0*&)F(,(F*F-F+F5F/F,F0-FQ6%F4,&F+F7 F8F0F0F0F0*&F=F0FLF0F0*&F:F0-FQFGF0F0*&FSF0-FQ6%FHFWF0F0F0*&FJF0-FA6%F /FCF0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "A8:=splitU(2,A 7);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A8G,8*&)%\"qG,**$%\"jG\"\"# \"\")F+\"\"'%\"nGF,\"\"\"F0F0-%\"UG6%,&F/F0!\"#F0,&F+\"\"%F0F0F0F0!\" \"*&)F(,(F*F-F+F.F/F,F0-%#T0G6%F4,&F+F7F,F0F0F0F8*&)F(,*F*F-F+\"#5F7F0 F/F0F0-%#T1G6%F4,&F+F7\"\"$F0F0F0F8*&F:F0-F26%,&F/F0F8F0F6F0F0F8*&)F(, *F*F-F+FCFHF0F/F0F0-FE6%FLFGF0F0F8*&F'F0FJF0F0*&)F(,(F*F-F+F5F/F,F0-F= 6%F4,&F+F7F8F0F0F0F0*&FAF0FPF0F0*&F:F0-F=FKF0F0*&FTF0-F=6%FLFXF0F0F0*& FNF0-FE6%F/FGF0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "A9:= splitU(4,A8);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A9G,6*&)%\"qG,**$ %\"jG\"\"#\"\")F+\"\"'%\"nGF,\"\"\"F0F0-%\"UG6%,&F/F0!\"#F0,&F+\"\"%F0 F0F0F0!\"\"*&)F(,(F*F-F+F.F/F,F0-%#T0G6%F4,&F+F7F,F0F0F0F8*&)F(,*F*F-F +\"#5F7F0F/F0F0-%#T1G6%F4,&F+F7\"\"$F0F0F0F8*&F:F0-F=6%,&F/F0F8F0F?F0F 0F8*&)F(,*F*F-F+FCFHF0F/F0F0-FE6%FLFGF0F0F8*&F'F0-F26%FLF6F0F0F0*&)F(, (F*F-F+F5F/F,F0-F=6%F4,&F+F7F8F0F0F0F0*&FAF0FPF0F0*&FVF0-F=6%FLFZF0F0F 0*&FNF0-FE6%F/FGF0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A 10:= eU1(6,A9);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A10G,8*&)%\"qG,( *$%\"jG\"\"#\"\")F+\"\"'%\"nGF,\"\"\"-%#T0G6%,&F/F0!\"#F0,&F+\"\"%F,F0 F0F0!\"\"*&)F(,*F*F-F+\"#5F7F0F/F0F0-%#T1G6%F4,&F+F7\"\"$F0F0F0F8*&F'F 0-F26%,&F/F0F8F0F6F0F0F8*&)F(,*F*F-F+F6%FEF@F0F0F8*&)F(, *F*F-F+F.F/F7F5F0F0-%\"UG6%F4,&F+F7F0F0F0F0F0*&)F(,*F*F-F+F,F/FAF8F0F0 -F>6%F4,$F+F7F0F0F0*&)F(,*F*F-F+F6% F/F@F0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "A11:= eT1(11, A10);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A11G,4*&)%\"qG,(*$%\"jG\" \"#\"\")F+\"\"'%\"nGF,\"\"\"-%#T0G6%,&F/F0!\"#F0,&F+\"\"%F,F0F0F0!\"\" *&)F(,*F*F-F+\"#5F7F0F/F0F0-%#T1G6%F4,&F+F7\"\"$F0F0F0F8*&)F(,*F*F-F+F .F/F7F5F0F0-%\"UG6%F4,&F+F7F0F0F0F0F0*&)F(,*F*F-F+F,F/FAF8F0F0-F>6%F4, $F+F7F0F0F0*&)F(,*F*F-F+F6%,&F/F0F8F0F@F0F0F0*&FSF0-F26%FenFWF0F0F0*&) F(,*F*F-F+\"#9F.F0F/F,F0-F26%Fen,&F+F7F7F0F0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "A12:=shiftdown(5,A11);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A12G,4*&)%\"qG,(*$%\"jG\"\"#\"\")F+\"\"'%\"nGF,\"\" \"-%#T0G6%,&F/F0!\"#F0,&F+\"\"%F,F0F0F0!\"\"*&)F(,*F*F-F+\"#5F7F0F/F0F 0-%#T1G6%F4,&F+F7\"\"$F0F0F0F8*&)F(,*F*F-F+F.F/F7F5F0F0-%\"UG6%F4,&F+F 7F0F0F0F0F0*&)F(,*F*F-F+F,F/FAF8F0F0-F>6%F4,$F+F7F0F0F0*&)F(,(F*F-F+! \"'F/FAF0-F>6%F4,&F+F7F8F0F0F0F8*&)F(,(F*F-F+F5F/F,F0-F2FTF0F0*&F:F0-F >6%,&F/F0F8F0F@F0F0F0*&FWF0-F26%FgnFUF0F0F0*&)F(,*F*F-F+\"#9F.F0F/F,F0 -F26%Fgn,&F+F7F7F0F0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "A13:= eT1(7,A12);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A13G,0*&)%\"q G,**$%\"jG\"\"#\"\")F+\"\"'%\"nG\"\"%!\"#\"\"\"F2-%\"UG6%,&F/F2F1F2,&F +F0F2F2F2F2F2*&)F(,*F*F-F+F,F/\"\"$!\"\"F2F2-%#T1G6%F6,$F+F0F2F2F2*&)F (,(F*F-F+!\"'F/F;F2-F>6%F6,&F+F0F " 0 "" {MPLTEXT 1 0 23 "A14:= shiftdown(5,A13);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A14G,0*&)%\"qG,**$%\"jG\"\"#\"\")F+\"\"'%\"nG\"\"%!\"#\"\"\"F 2-%\"UG6%,&F/F2F1F2,&F+F0F2F2F2F2F2*&)F(,*F*F-F+F,F/\"\"$!\"\"F2F2-%#T 1G6%F6,$F+F0F2F2F2*&)F(,(F*F-F+!\"'F/F;F2-F>6%F6,&F+F0F " 0 "" {MPLTEXT 1 0 23 "A15:= shiftdown(7,A14);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A15G,0*&)%\"qG,**$%\"jG\"\"#\"\")F+\"\"'%\"nG\"\" %!\"#\"\"\"F2-%\"UG6%,&F/F2F1F2,&F+F0F2F2F2F2F2*&)F(,*F*F-F+F,F/\"\"$! \"\"F2F2-%#T1G6%F6,$F+F0F2F2F2*&)F(,(F*F-F+!\"'F/F;F2-F>6%F6,&F+F0F " 0 "" {MPLTEXT 1 0 17 "A16:= eT0(7,A15);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6# >%$A16G,,*&)%\"qG,**$%\"jG\"\"#\"\")F+\"\"'%\"nG\"\"%!\"#\"\"\"F2-%\"U G6%,&F/F2F1F2,&F+F0F2F2F2F2F2*&)F(,(F*F-F+!\"'F/\"\"$F2-%#T1G6%F6,&F+F 0!\"\"F2F2F2FA*&)F(,(F*F-F+F1F/F,F2-%#T0G6%F6,$F+F0F2F2FA*&FCF2-FF6%,& F/F2FAF2F@F2F2F2*&F'F2-FFF5F2FA" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "A17:=splitU(1,A16);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A17G ,**&)%\"qG,**$%\"jG\"\"#\"\")F+\"\"'%\"nG\"\"%!\"#\"\"\"F2-%#T0G6%,&F/ F2F1F2,&F+F0F,F2F2F2F2*&)F(,(F*F-F+!\"'F/\"\"$F2-%#T1G6%F6,&F+F0!\"\"F 2F2F2FA*&)F(,(F*F-F+F1F/F,F2-F46%F6,$F+F0F2F2FA*&FCF2-F46%,&F/F2FAF2F@ F2F2F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "A18:= sym(4,A17); " }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A18G,**&)%\"qG,**$%\"jG\"\"#\" \")F+\"\"'%\"nG\"\"%!\"#\"\"\"F2-%#T0G6%,&F/F2F1F2,&F+F0F,F2F2F2F2*&)F (,(F*F-F+!\"'F/\"\"$F2-%#T1G6%F6,&F+F0!\"\"F2F2F2FA*&)F(,(F*F-F+F1F/F, F2-F46%F6,$F+F0F2F2FA*&FCF2-F46%,&F/F2FAF2,&F+!\"%F2F2F2F2F2" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "A19:= eT0(4,A18);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A19G,.*&)%\"qG,**$%\"jG\"\"#\"\")F+\"\"'% \"nG\"\"%!\"#\"\"\"F2-%#T0G6%,&F/F2F1F2,&F+F0F,F2F2F2F2*&)F(,(F*F-F+! \"'F/\"\"$F2-%#T1G6%F6,&F+F0!\"\"F2F2F2FA*&)F(,(F*F-F+F1F/F,F2-F46%F6, $F+F0F2F2FA*&FCF2-F46%F6,$F+!\"%F2F2F2*&F9F2-F>6%F6,&F+FLF2F2F2F2F2*&) F(,(F*F-F+!#5F/F0F2-F46%F6,&F+FLF,F2F2F2F2" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 17 "A20:= sym(4,A19);" }}{PARA 12 "" 1 "" {XPPMATH 20 " 6#>%$A20G,**&)%\"qG,**$%\"jG\"\"#\"\")F+\"\"'%\"nG\"\"%!\"#\"\"\"F2-%# T0G6%,&F/F2F1F2,&F+F0F,F2F2F2F2*&)F(,(F*F-F+!\"'F/\"\"$F2-%#T1G6%F6,&F +F0!\"\"F2F2F2FA*&F9F2-F>6%F6,&F+!\"%F2F2F2F2F2*&)F(,(F*F-F+!#5F/F0F2- F46%F6,&F+FFF,F2F2F2F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A 21:=sym(2,A20);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A21G,&*&)%\"qG,* *$%\"jG\"\"#\"\")F+\"\"'%\"nG\"\"%!\"#\"\"\"F2-%#T0G6%,&F/F2F1F2,&F+F0 F,F2F2F2F2*&)F(,(F*F-F+!#5F/F0F2-F46%F6,&F+!\"%F,F2F2F2F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "A22:=shiftdown(1,A21);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A22G,&*&)%\"qG,(*$%\"jG\"\"#\"\")F+!#5%\"nG \"\"%\"\"\"-%#T0G6%,&F/F1!\"#F1,&F+F0F6F1F1F1!\"\"*&F'F1-F36%F5,&F+!\" %F,F1F1F1F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A23:=sym(1,A 22);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A23G\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "3 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }