{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 28 "######### 3.77 with \+ q--> q^2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 115 "op2:= annihilo per( q^(j^2+j) * qfac(q^6,q^6,j) / qfac(q^2,q^4,j+1) / qfac(q^2,q^2,j) / spqfac(q^2,q^2,j), 0, back);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$ op2G,*\"\"\"F&*&,(*$%\"qG\"\"#F&F&F&)F*,$%\"nGF+F&F&%\"NG!\"\"F0*&,&*$ F*\"\"%F0F)F0F&F/!\"$F0*&,&F3F&F,F0F&F/!\"%F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "altsign:=true;" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%(altsignG%%trueG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "A1:=applyshiftop(op2, q^(18 *j^2 + 6*j) * T1(n+1,6*j+1,1));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%# A1G,2*&-%#T1G6%,&%\"nG\"\"\"!\"$F,,&%\"jG\"\"'F,F,F,F,)%\"qG,(*$F/\"\" #\"#=F/F0\"\"%F,F,!\"\"*&F'F,)F2,(F4F6F/F0F+F5F,F,*&-F(6%,&F+F,!\"#F,F .F,F,F1F,F,*&F=F,)F2,(F4F6F/F0F5F,F,F,*&-F(6%F+F.F,F,FBF,F8*&)F2,&F4F6 F/F0F,FEF,F8*&FEF,F:F,F8*&FHF,-F(6%,&F+F,F,F,F.F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "A2:=eT1(8,A1);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A2G,2*&-%#T1G6%,&%\"nG\"\"\"!\"$F,,&%\"jG\"\"'F,F,F, F,)%\"qG,(*$F/\"\"#\"#=F/F0\"\"%F,F,!\"\"*&F'F,)F2,(F4F6F/F0F+F5F,F,*& -F(6%,&F+F,!\"#F,F.F,F,F1F,F,*&F=F,)F2,(F4F6F/F0F5F,F,F,*&-F(6%F+F.F,F ,FBF,F8*&FEF,F:F,F8*&)F2,*F4F6F/\"#7F+F,F5F,F,-%#T0G6%F+,&F/F0F5F,F,F, F,*&)F2,&F4F6F+F,F,-FM6%F+,$F/F0F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "A3:=eT1(3,A2);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%# A3G,2*&-%#T1G6%,&%\"nG\"\"\"!\"$F,,&%\"jG\"\"'F,F,F,F,)%\"qG,(*$F/\"\" #\"#=F/F0F+F5F,F,*&)F2,*F4F6F/\"#7\"\"$F,F+F,F,-%#T0G6%F*,&F/F0F5F,F,F ,F,*&)F2,(F4F6F,F,F+F,F,-F=6%F*,$F/F0F,F,F,*&-F(6%,&F+F,!\"#F,F.F,F,)F 2,(F4F6F/F0F5F,F,F,*&-F(6%F+F.F,F,FKF,!\"\"*&FNF,F1F,FP*&)F2,*F4F6F/F: F+F,F5F,F,-F=6%F+F?F,F,F,*&)F2,&F4F6F+F,F,-F=6%F+FEF,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "A4:= eT1(5,A3);" }}{PARA 12 "" 1 " " {XPPMATH 20 "6#>%#A4G,6*&-%#T1G6%,&%\"nG\"\"\"!\"$F,,&%\"jG\"\"'F,F, F,F,)%\"qG,(*$F/\"\"#\"#=F/F0F+F5F,F,*&)F2,*F4F6F/\"#7\"\"$F,F+F,F,-%# T0G6%F*,&F/F0F5F,F,F,F,*&)F2,(F4F6F,F,F+F,F,-F=6%F*,$F/F0F,F,F,*&-F(6% ,&F+F,!\"#F,F.F,F,)F2,(F4F6F/F0F5F,F,F,*&FKF,-F(6%,&F+F,!\"\"F,F.F,F,F Q*&F8F,-F=6%FPF?F,F,FQ*&FAF,-F=6%FPFEF,F,FQ*&-F(6%F+F.F,F,F1F,FQ*&)F2, *F4F6F/F:F+F,F5F,F,-F=6%F+F?F,F,F,*&)F2,&F4F6F+F,F,-F=6%F+FEF,F,F," }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "A5:=eT1(5,A4);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A5G,6*&-%#T1G6%,&%\"nG\"\"\"!\"$F,,&%\"jG\" \"'F,F,F,F,)%\"qG,(*$F/\"\"#\"#=F/F0F+F5F,F,*&)F2,*F4F6F/\"#7\"\"$F,F+ F,F,-%#T0G6%F*,&F/F0F5F,F,F,F,*&)F2,(F4F6F,F,F+F,F,-F=6%F*,$F/F0F,F,F, *&)F2,*F4F6F/F:F+F,F5F,F,-F=6%,&F+F,!\"#F,F?F,F,!\"\"*&)F2,&F4F6F+F,F, -F=6%FKFEF,F,FM*&F8F,-F=6%,&F+F,FMF,F?F,F,FM*&FAF,-F=6%FVFEF,F,FM*&-F( 6%F+F.F,F,F1F,FM*&FGF,-F=6%F+F?F,F,F,*&FOF,-F=6%F+FEF,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "A6:=eT1(8,A5);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%# A6G,:*&-%#T1G6%,&%\"nG\"\"\"!\"$F,,&%\"jG\"\"'F,F,F,F,)%\"qG,(*$F/\"\" #\"#=F/F0F+F5F,F,*&)F2,*F4F6F/\"#7\"\"$F,F+F,F,-%#T0G6%F*,&F/F0F5F,F,F ,F,*&)F2,(F4F6F,F,F+F,F,-F=6%F*,$F/F0F,F,F,*&)F2,*F4F6F/F:F+F,F5F,F,-F =6%,&F+F,!\"#F,F?F,F,!\"\"*&)F2,&F4F6F+F,F,-F=6%FKFEF,F,FM*&F8F,-F=6%, &F+F,FMF,F?F,F,FM*&FAF,-F=6%FVFEF,F,FM*&F1F,-F(6%FVF.F,F,FM*&)F2,*F4F6 F/F:F+F;F,F,F,FTF,FM*&)F2,(F4F6F+F;FMF,F,FXF,FM*&FGF,-F=6%F+F?F,F,F,*& FOF,-F=6%F+FEF,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "A7:= eT1(8,A6);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A7G,>*&-%#T1G6%,&%\"n G\"\"\"!\"$F,,&%\"jG\"\"'F,F,F,F,)%\"qG,(*$F/\"\"#\"#=F/F0F+F5F,F,*&)F 2,*F4F6F/\"#7\"\"$F,F+F,F,-%#T0G6%F*,&F/F0F5F,F,F,F,*&)F2,(F4F6F,F,F+F ,F,-F=6%F*,$F/F0F,F,F,*&)F2,*F4F6F/F:F+F,F5F,F,-F=6%,&F+F,!\"#F,F?F,F, !\"\"*&)F2,&F4F6F+F,F,-F=6%FKFEF,F,FM*&F8F,-F=6%,&F+F,FMF,F?F,F,FM*&FA F,-F=6%FVFEF,F,FM*&F1F,-F(6%FKF.F,F,FM*&)F2,(F4F6F/F:F+F;F,FIF,FM*&)F2 ,(F4F6F+F;FLF,F,FQF,FM*&)F2,*F4F6F/F:F+F;F,F,F,FTF,FM*&)F2,(F4F6F+F;FM F,F,FXF,FM*&FGF,-F=6%F+F?F,F,F,*&FOF,-F=6%F+FEF,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "A8:=eT1(8,A7);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A8G,>*&)%\"qG,**$%\"jG\"\"#\"#=F+\"#7\"\"$\"\"\"%\"n GF0F0-%#T0G6%,&F1F0!\"$F0,&F+\"\"'F,F0F0F0F0*&)F(,(F*F-F0F0F1F0F0-F36% F5,$F+F8F0F0F0*&)F(,*F*F-F+F.F1F0F,F0F0-F36%,&F1F0!\"#F0F7F0F0!\"\"*&) F(,&F*F-F1F0F0-F36%FDF>F0F0FF*&F'F0-F36%,&F1F0FFF0F7F0F0FF*&F:F0-F36%F OF>F0F0FF*&)F(,*F*F-F+F.F1F/FFF0F0F2F0FF*&)F(,(F*F-F1F/F6F0F0FF0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#########" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 16 "A9:= eT0(14,A8);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6 #>%#A9G,B*&)%\"qG,**$%\"jG\"\"#\"#=F+\"#7\"\"$\"\"\"%\"nGF0F0-%#T0G6%, &F1F0!\"$F0,&F+\"\"'F,F0F0F0F0*&)F(,(F*F-F0F0F1F0F0-F36%F5,$F+F8F0F0F0 *&)F(,*F*F-F+F.F1F0F,F0F0-F36%,&F1F0!\"#F0F7F0F0!\"\"*&)F(,&F*F-F1F0F0 -F36%FDF>F0F0FF*&F'F0-F36%,&F1F0FFF0F7F0F0FF*&F:F0-F36%FOF>F0F0FF*&)F( ,*F*F-F+F.F1F/FFF0F0F2F0FF*&)F(,(F*F-F1F/F6F0F0F " 0 "" {MPLTEXT 1 0 17 "A10:= sym(14,A9);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A10G,B*&)%\"qG,**$%\"jG\"\"#\"#=F+ \"#7\"\"$\"\"\"%\"nGF0F0-%#T0G6%,&F1F0!\"$F0,&F+\"\"'F,F0F0F0F0*&)F(,( F*F-F0F0F1F0F0-F36%F5,$F+F8F0F0F0*&)F(,*F*F-F+F.F1F0F,F0F0-F36%,&F1F0! \"#F0F7F0F0!\"\"*&)F(,&F*F-F1F0F0-F36%FDF>F0F0FF*&F'F0-F36%,&F1F0FFF0F 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