{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 "####### 3.35 (with q --> q^2)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 102 "op2:= annihilo per( qfac(-q^2,q^4,j) * q^(j^2 + 3*j) / qfac(q^2,q^4,j+1) / spqfac(q^2 ,q^2,j), 0, back);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$op2G,*\"\"\"F &*&,&F&F&)%\"qG,&%\"nG\"\"#F-F&F&F&%\"NG!\"\"F/*&F*F-F.!\"#F/*&,&*$F*F -F/)F*,$F,F-F&F&F.!\"$F/" }}}{EXCHG {PARA 11 "" 1 "" {TEXT -1 0 "" }}} {EXCHG {PARA 11 "" 1 "" {TEXT -1 0 "" }}}{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 98 "A:= appl yshiftop(op2, q^(8*j^2 + 6*j) * T1(n+1, 4*j+2,1) + q^(n + 8*j^2 + 2*j) * T0(n+1,4*j+1,1));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%\"AG,:*&)%\" qG,(\"\"#\"\"\"*$%\"jGF*\"\")F-\"\"'F+-%#T1G6%,&%\"nGF+!\"#F+,&F-\"\"% F*F+F+F+F+*&)F(,*F4F+!\"\"F+F,F.F-F*F+-%#T0G6%F3,&F-F7F+F+F+F+F+*&)F(, (F4F*F,F.F-F/F+F0F+F;*&)F(,*F4\"\"$!\"$F+F,F.F-F*F+F " 0 "" {MPLTEXT 1 0 15 "A2:= eT1(11,A) ;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A2G,6*&)%\"qG,(\"\"#\"\"\"*$% \"jGF*\"\")F-\"\"'F+-%#T1G6%,&%\"nGF+!\"#F+,&F-\"\"%F*F+F+F+F+*&)F(,*F 4F+!\"\"F+F,F.F-F*F+-%#T0G6%F3,&F-F7F+F+F+F+F+*&)F(,(F4F*F,F.F-F/F+F0F +F;*&)F(,*F4\"\"$!\"$F+F,F.F-F*F+F " 0 "" {MPLTEXT 1 0 14 "A3:=eT1(5,A2);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A3G,2*&)%\"qG,(%\"nG\"\"#*$%\"jGF+\"\")F-\"\"'\"\"\" -%#T1G6%,&F*F0!\"#F0,&F-\"\"%F+F0F0F0!\"\"*&)F(,*F*\"\"$!\"$F0F,F.F-F+ F0-%#T0G6%F4,&F-F7F0F0F0F0F8*&)F(,*F,F.F-\"#5F*F0F " 0 " " {MPLTEXT 1 0 5 "#####" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 " A4:=sym(8,A3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A4G,2*&)%\"qG,(% \"nG\"\"#*$%\"jGF+\"\")F-\"\"'\"\"\"-%#T1G6%,&F*F0!\"#F0,&F-\"\"%F+F0F 0F0!\"\"*&)F(,*F*\"\"$!\"$F0F,F.F-F+F0-%#T0G6%F4,&F-F7F0F0F0F0F8*&)F(, *F,F.F-\"#5F*F0F " 0 "" {MPLTEXT 1 0 14 "A5:=e T0(8,A4);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A5G,6*&)%\"qG,(%\"nG\" \"#*$%\"jGF+\"\")F-\"\"'\"\"\"-%#T1G6%,&F*F0!\"#F0,&F-\"\"%F+F0F0F0!\" \"*&)F(,*F*\"\"$!\"$F0F,F.F-F+F0-%#T0G6%F4,&F-F7F0F0F0F0F8*&)F(,*F,F.F -\"#5F*F0F " 0 "" {MPLTEXT 1 0 14 "A 6:=sym(8,A5);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A6G,6*&)%\"qG,(%\" nG\"\"#*$%\"jGF+\"\")F-\"\"'\"\"\"-%#T1G6%,&F*F0!\"#F0,&F-\"\"%F+F0F0F 0!\"\"*&)F(,*F*\"\"$!\"$F0F,F.F-F+F0-%#T0G6%F4,&F-F7F0F0F0F0F8*&)F(,*F ,F.F-\"#5F*F0F " 0 "" {MPLTEXT 1 0 14 "A7:=eT0(8,A6 );" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A7G,6*&)%\"qG,(%\"nG\"\"#*$% \"jGF+\"\")F-\"\"'\"\"\"-%#T1G6%,&F*F0!\"#F0,&F-\"\"%F+F0F0F0!\"\"*&)F (,*F*\"\"$!\"$F0F,F.F-F+F0-%#T0G6%F4,&F-F7F0F0F0F0F8*&)F(,*F,F.F-\"#5F *F0F " 0 "" {MPLTEXT 1 0 9 "#########" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "A8:=sym(4,A7);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A8G,6*&)%\"qG,(%\"nG\"\"#*$%\"jGF+\"\")F-\" \"'\"\"\"-%#T1G6%,&F*F0!\"#F0,&F-\"\"%F+F0F0F0!\"\"*&)F(,*F*\"\"$!\"$F 0F,F.F-F+F0-%#T0G6%F4,&F-F7F0F0F0F0F8*&)F(,*F,F.F-\"#5F*F0F " 0 "" {MPLTEXT 1 0 14 "A9:=eT1(4,A8);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A9G,:*&)%\"qG,(%\"nG\"\"#*$%\"jGF+ \"\")F-\"\"'\"\"\"-%#T1G6%,&F*F0!\"#F0,&F-\"\"%F+F0F0F0!\"\"*&)F(,*F* \"\"$!\"$F0F,F.F-F+F0-%#T0G6%F4,&F-F7F0F0F0F0F8*&)F(,*F,F.F-\"#5F*F0F< F0F0-F?6%F4,&F-F7F " 0 "" {MPLTEXT 1 0 16 "A10:= sym(4,A9) ;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A10G,6*&)%\"qG,(%\"nG\"\"#*$% \"jGF+\"\")F-\"\"'\"\"\"-%#T1G6%,&F*F0!\"#F0,&F-\"\"%F+F0F0F0!\"\"*&)F (,*F*\"\"$!\"$F0F,F.F-F+F0-%#T0G6%F4,&F-F7F0F0F0F0F8*&)F(,*F,F.F-\"#5F *F0F " 0 "" {MPLTEXT 1 0 16 "A11:=sym( 5,A10);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A11G,2*&)%\"qG,(%\"nG\" \"#*$%\"jGF+\"\")F-\"\"'\"\"\"-%#T1G6%,&F*F0!\"#F0,&F-\"\"%F+F0F0F0!\" \"*&)F(,*F*\"\"$!\"$F0F,F.F-F+F0-%#T0G6%F4,&F-F7F0F0F0F0F8*&)F(,*F,F.F -\"#5F*F0F " 0 "" {MPLTEXT 1 0 4 "### #" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "A12:= eT0(6,A11);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A12G,6*&)%\"qG,(%\"nG\"\"#*$%\"jGF+ \"\")F-\"\"'\"\"\"-%#T1G6%,&F*F0!\"#F0,&F-\"\"%F+F0F0F0!\"\"*&)F(,*F* \"\"$!\"$F0F,F.F-F+F0-%#T0G6%F4,&F-F7F0F0F0F0F8*&)F(,*F,F.F-\"#5F*F0F< F0F0-F?6%F4,&F-F7F " 0 "" {MPLTEXT 1 0 16 "A13:=sym(6,A12);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#> %$A13G,6*&)%\"qG,(%\"nG\"\"#*$%\"jGF+\"\")F-\"\"'\"\"\"-%#T1G6%,&F*F0! 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