{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 25 "###### 3.81 with q-- > q^2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 78 "op2:= annihiloper( q^(j^2 + j) / qfac(q^2,q^4,j)/ spqfac(q^2,q^2,j), 0, back);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$op2G,*\"\"\"F&*&,&F&F&)%\"qG,$%\"nG\"\"#F &F&%\"NG!\"\"F/*&F*F-F.!\"#F/*&F*F-F.!\"$F&" }}}{EXCHG {PARA 12 "" 1 " " {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 98 "A1:= appl yshiftop(op2, q^(21*j^2 + j) * T1(n+1,7*j,1) - q^(21*j^2 + 13*j + 2) * T1(n+1, 7*j+2,1));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A1G,6*&)%\"q G,(\"\"#\"\"\"*$%\"jGF*\"#@F-F+F+-%#T1G6%,&%\"nGF+!\"#F+,$F-\"\"(F+F+F +*&)F(,(\"\"%F+F,F.F-\"#8F+-F06%F2,&F-F6F*F+F+F+!\"\"*&F'F+-F06%,&F3F+ F?F+F5F+F+F?*&F8F+-F06%FCF>F+F+F+*&)F(,&F,F.F-F+F+-F06%F3F5F+F+F?*&)F( ,(F,F.F-F;F*F+F+-F06%F3F>F+F+F+*&)F(,(F3F*F,F.F-F+F+FJF+F?*&)F(,*F3F*F ,F.F-F;F*F+F+FOF+F+*&FHF+-F06%,&F3F+F+F+F5F+F+F+*&FMF+-F06%FZF>F+F+F? " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "A2:= eT1(9,A1);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A2G,6*&)%\"qG,(*$%\"jG\"\"#\"#@F+\" \"\"F,F.F.-%#T1G6%,&%\"nGF.!\"#F.,$F+\"\"(F.F.F.*&)F(,(F*F-F+\"#8\"\"% F.F.-F06%F2,&F+F6F,F.F.F.!\"\"*&F'F.-F06%,&F3F.F?F.F5F.F.F?*&F8F.-F06% FCF>F.F.F.*&)F(,(F*F-F+F:F,F.F.-F06%F3F>F.F.F.*&)F(,(F*F-F+F.F3F,F.-F0 6%F3F5F.F.F?*&)F(,*F*F-F+F:F,F.F3F,F.FJF.F.*&)F(,*F*F-F+\"\")F3F.F.F.F .-%#T0G6%F3,&F+F6F.F.F.F.F.*&)F(,*F*F-F+!\"'F3F.F.F.F.-FY6%F3,&F+F6F?F .F.F.F.*&FHF.-F06%,&F3F.F.F.F>F.F.F?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A3:= eT1(10,A2);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#> %#A3G,6*&)%\"qG,(*$%\"jG\"\"#\"#@F+\"\"\"F,F.F.-%#T1G6%,&%\"nGF.!\"#F. ,$F+\"\"(F.F.F.*&)F(,(F*F-F+\"#8\"\"%F.F.-F06%F2,&F+F6F,F.F.F.!\"\"*&F 'F.-F06%,&F3F.F?F.F5F.F.F?*&F8F.-F06%FCF>F.F.F.*&)F(,(F*F-F+F.F3F,F.-F 06%F3F5F.F.F?*&)F(,*F*F-F+F:F,F.F3F,F.-F06%F3F>F.F.F.*&)F(,*F*F-F+\"\" )F3F.F.F.F.-%#T0G6%F3,&F+F6F.F.F.F.F.*&)F(,*F*F-F+!\"'F3F.F.F.F.-FV6%F 3,&F+F6F?F.F.F.F.*&)F(,*F*F-F+\"#?\"\"&F.F3F.F.-FV6%F3,&F+F6\"\"$F.F.F .F?*&)F(,*F*F-F+\"\"'F.F.F3F.F.FUF.F?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "A4:= negate(10,A3);" }}{PARA 12 "" 1 "" {XPPMATH 20 " 6#>%#A4G,6*&)%\"qG,(*$%\"jG\"\"#\"#@F+\"\"\"F,F.F.-%#T1G6%,&%\"nGF.!\" #F.,$F+\"\"(F.F.F.*&)F(,(F*F-F+\"#8\"\"%F.F.-F06%F2,&F+F6F,F.F.F.!\"\" *&F'F.-F06%,&F3F.F?F.F5F.F.F?*&F8F.-F06%FCF>F.F.F.*&)F(,(F*F-F+F.F3F,F .-F06%F3F5F.F.F?*&)F(,*F*F-F+F:F,F.F3F,F.-F06%F3F>F.F.F.*&)F(,*F*F-F+ \"\")F3F.F.F.F.-%#T0G6%F3,&F+F6F.F.F.F.F.*&)F(,*F*F-F+!\"'F3F.F.F.F.-F V6%F3,&F+F6F?F.F.F.F.*&)F(,*F*F-F+\"#?\"\"&F.F3F.F.-FV6%F3,&F+F6\"\"$F .F.F.F?*&FZF.-FV6%F3,&F+!\"(F.F.F.F.F?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A5:= sym(10,A4);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#> %#A5G,2*&)%\"qG,(*$%\"jG\"\"#\"#@F+\"\"\"F,F.F.-%#T1G6%,&%\"nGF.!\"#F. ,$F+\"\"(F.F.F.*&)F(,(F*F-F+\"#8\"\"%F.F.-F06%F2,&F+F6F,F.F.F.!\"\"*&F 'F.-F06%,&F3F.F?F.F5F.F.F?*&F8F.-F06%FCF>F.F.F.*&)F(,(F*F-F+F.F3F,F.-F 06%F3F5F.F.F?*&)F(,*F*F-F+F:F,F.F3F,F.-F06%F3F>F.F.F.*&)F(,*F*F-F+\"\" )F3F.F.F.F.-%#T0G6%F3,&F+F6F.F.F.F.F.*&)F(,*F*F-F+\"#?\"\"&F.F3F.F.-FV 6%F3,&F+F6\"\"$F.F.F.F?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 " A6:= eT1(4,A5);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A6G,2*&)%\"qG,(* $%\"jG\"\"#\"#@F+\"\"\"F,F.F.-%#T1G6%,&%\"nGF.!\"#F.,$F+\"\"(F.F.F.*&F 'F.-F06%,&F3F.!\"\"F.F5F.F.F;*&)F(,*F*F-F+\"#?\"\"&F.F3F.F.-%#T0G6%F2, &F+F6\"\"$F.F.F.F.*&)F(,*F*F-F+\"\"'F.F.F3F.F.-FB6%F2,&F+F6F.F.F.F.F.* &)F(,(F*F-F+F.F3F,F.-F06%F3F5F.F.F;*&)F(,*F*F-F+\"#8F,F.F3F,F.-F06%F3, &F+F6F,F.F.F.F.*&)F(,*F*F-F+\"\")F3F.F.F.F.-FB6%F3FLF.F.F.*&F=F.-FB6%F 3FDF.F.F;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "A7:= sym(8,A6) ;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A7G,2*&)%\"qG,(*$%\"jG\"\"#\"# @F+\"\"\"F,F.F.-%#T1G6%,&%\"nGF.!\"#F.,$F+\"\"(F.F.F.*&F'F.-F06%,&F3F. !\"\"F.F5F.F.F;*&)F(,*F*F-F+\"#?\"\"&F.F3F.F.-%#T0G6%F2,&F+F6\"\"$F.F. 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12 "" 1 "" {XPPMATH 20 "6#>%$A26G,2*&)%\"qG,**$%\"jG\"\"#\" #@F+!\"'%\"nG\"\"$!\"\"\"\"\"F2-%#T0G6%,&F/F2F1F2,$F+\"\"(F2F2F1*&)F(, *F*F-F+\"\"'F1F2F/F0F2-F46%F6,&F+F8F,F2F2F2F2*&)F(,*F*F-F+\"#:F/F,F,F2 F2-%#T1G6%,&F/F2!\"#F2F?F2F2F2*&)F(,*F*F-F+\"#AF/F0F0F2F2-F46%FG,&F+F8 F0F2F2F2F2*&F'F2-F46%F6,$F+!\"(F2F2F2*&)F(,*F*F-F+!#:F,F2F/F,F2-FE6%FG ,&F+F8!\"$F2F2F2F1*&)F(,*F*F-F+\"#M\"#6F2F/F0F2-F46%FG,&F+F8\"\"&F2F2F 2F1*&F:F2-F46%F6,&F+FTFHF2F2F2F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "A27:=negate(6,A26);" }}{PARA 12 "" 1 "" {XPPMATH 20 " 6#>%$A27G,2*&)%\"qG,**$%\"jG\"\"#\"#@F+!\"'%\"nG\"\"$!\"\"\"\"\"F2-%#T 0G6%,&F/F2F1F2,$F+\"\"(F2F2F1*&)F(,*F*F-F+\"\"'F1F2F/F0F2-F46%F6,&F+F8 F,F2F2F2F2*&)F(,*F*F-F+\"#:F/F,F,F2F2-%#T1G6%,&F/F2!\"#F2F?F2F2F2*&)F( ,*F*F-F+\"#AF/F0F0F2F2-F46%FG,&F+F8F0F2F2F2F2*&F'F2-F46%F6,$F+!\"(F2F2 F2*&FAF2-FE6%FG,&F+FT!\"$F2F2F2F1*&)F(,*F*F-F+\"#M\"#6F2F/F0F2-F46%FG, &F+F8\"\"&F2F2F2F1*&F:F2-F46%F6,&F+FTFHF2F2F2F1" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 16 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