{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 "########## 3.117" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 93 "op1:= annihiloper( q^(j^2) \+ / qfac(q,q^2,j) / qfac(-q^2,q^2,j) / spqfac(q^2,q^2,j) , 0, back);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%$op1G,*\"\"\"F&*&,**$%\"qG\"\"#!\"\" F*F&F&F&)F*,&F,F&%\"nGF+F&F&%\"NGF,F,*&,(*$F*\"\"$F&F)F&F*F,F&F0!\"#F, *&F*F4F0!\"$F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 91 "A1:= appl yshiftop(op1, q^(21*k^2 + 2*k)* U(n,7*k,1) - q^(21*k^2 + 16*k+3) * U(n , 7*k+2,1));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A1G,F*&-%\"UG6%,&% \"nG\"\"\"!\"$F,,$%\"kG\"\"(F,F,)%\"qG,(\"\"$F,*$F/\"\"#\"#@F/F6F,F,*& -F(6%F*,&F/F0F6F,F,F,)F2,(\"\"'F,F5F7F/\"#;F,!\"\"*&F1F,-F(6%,&F+F,!\" #F,F.F,F,F@*&F " 0 "" {MPLTEXT 1 0 15 "A2:= eU1(3,A1);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A2G,H*&-% \"UG6%,&%\"nG\"\"\"!\"$F,,&%\"kG\"\"(\"\"#F,F,F,)%\"qG,(\"\"'F,*$F/F1 \"#@F/\"#;F,!\"\"*&)F3,*!\"#F,F6F7F/F1F+F1F,-F(6%F*,$F/F0F,F,F9*&)F3,* F,F,F6F7F/!\"&F+F,F,-%#T1G6%F*,&F/F0F9F,F,F,F9*&)F3,*F1F,F6F7F/\"\"*F+ F,F,-FFF)F,F9*&F2F,-F(6%,&F+F,F=F,F.F,F,F,*&)F3,(F1F,F6F7F/F1F,-F(6%FQ F@F,F,F9*&)F3,(\"\"&F,F6F7F/F8F,FOF,F,*&)F3,(F,F,F6F7F/F1F,FUF,F,*&)F3 ,(F6F7F/F8\"\"%F,F,FOF,F9*&FSF,-F(6%,&F+F,F9F,F@F,F,F,*&FXF,-F(6%F_oF. 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F+F0F.F,F/F-\"#;F+-FF6%FVF@F+F+FD*&)F(,*F.F+F,F/F-FFjnF+FD*& )F(,*F,F/F-\"#IF6%F4F[oF+F+F+ *&F\\pF+-F>FjoF+F+*&F'F+FEF+FD*&F\\pF+F=F+FD*&F'F+-FFFUF+FD*&F]oF+-F>6 %FaoF[oF+F+FD*&F`pF+-F26%FVFepF+F+FD" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A17:=e0(16,A16);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#> %$A17G,N*&)%\"qG,*!\"#\"\"\"*$%\"kG\"\"#\"#@F-F.%\"nGF.F+-%#T0G6%,&F0F +!\"$F+,$F-\"\"(F+F+F+*&)F(,*F*F+F0\"\"$F,F/F-\"\"*F+-%#T1G6%F4,&F-F7F .F+F+F+F+*&)F(,*!\"\"F+F0F.F,F/F-F.F+-%\"UGF3F+F+*&)F(,*F5F+F0F;F,F/F- !\"&F+-F>6%F4,&F-F7FDF+F+F+F+*&)F(,*!\"'F+F0\"\"%F,F/F-F.F+FEF+F+*&F'F +-F26%,&F0F+F*F+F6F+F+F+*&)F(,(F,F/F-!#7F0F.F+-F26%FV,&F-F7F*F+F+F+F+* &F'F+-F26%FV,&F-F7F+F+F+F+F+*&)F(,*F+F+F,F/F-F6%,&F0F+FDF+F@ F+F+F+*&FXF+-F26%F4FgnF+F+F+*&)F(,*F.F+F0F.F,F/F-\"#;F+-FF6%FVF@F+F+FD *&)F(,*F.F+F,F/F-FFjnF+FD*&)F(,*F,F/F-\"#IFFjoF+F+* &F'F+FEF+FD*&F'F+-FFFUF+FD*&F]oF+-F>6%FaoF[oF+F+FD*&F`pF+-F26%FVFepF+F +FD" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "A18:= eT0(8,A17);" } }{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A18G,P*&)%\"qG,*!\"#\"\"\"*$%\"kG \"\"#\"#@F-F.%\"nGF.F+-%#T0G6%,&F0F+!\"$F+,$F-\"\"(F+F+F.*&)F(,*F*F+F0 \"\"$F,F/F-\"\"*F+-%#T1G6%F4,&F-F7F.F+F+F+F+*&)F(,*!\"\"F+F0F.F,F/F-F. F+-%\"UGF3F+F+*&)F(,*F5F+F0F;F,F/F-!\"&F+-F>6%F4,&F-F7FDF+F+F+F+*&)F(, *!\"'F+F0\"\"%F,F/F-F.F+FEF+F+*&F'F+-F26%,&F0F+F*F+F6F+F+F+*&)F(,(F,F/ F-!#7F0F.F+-F26%FV,&F-F7F*F+F+F+F+*&)F(,*F5F+F,F/F-F6%F4,&F- F7F+F+F+F+F+*&)F(,*!\"%F+F,F/F-\"#;F0FRF+-F2F?F+F+*&)F(,*F+F+F,F/F-F6%,&F0F+FDF+F@F+F+F+*&FXF+-F26%F4FgnF+F+F+*&)F(,*F.F+F0F.F,F/F -FboF+-FF6%FVF@F+F+FD*&)F(,*F.F+F,F/F-F6%FVF]oF+F+FD*&)F(,*F ,F/F-\"#IFFapF+F+*&F'F+FEF+FD*&F'F+-FFFUF+FD*&FeoF+-F>6%FioF]oF+F+FD* &FhpF+-F26%FVF]qF+F+FD" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "A 19:=splitU(20,A18);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A19G,L*&)%\" qG,*!\"#\"\"\"*$%\"kG\"\"#\"#@F-F.%\"nGF.F+-%#T0G6%,&F0F+!\"$F+,$F-\" \"(F+F+F+*&)F(,*F*F+F0\"\"$F,F/F-\"\"*F+-%#T1G6%F4,&F-F7F.F+F+F+F+*&)F (,*!\"\"F+F0F.F,F/F-F.F+-%\"UGF3F+F+*&)F(,*F5F+F0F;F,F/F-!\"&F+-F>6%F4 ,&F-F7FDF+F+F+F+*&)F(,*!\"'F+F0\"\"%F,F/F-F.F+FEF+F+*&F'F+-F26%,&F0F+F *F+F6F+F+F+*&)F(,(F,F/F-!#7F0F.F+-F26%FV,&F-F7F*F+F+F+F+*&)F(,*F5F+F,F /F-F6%F4,&F-F7F+F+F+F+F+*&)F(,*!\"%F+F,F/F-\"#;F0FRF+-F2F?F+ F+*&)F(,*F+F+F,F/F-F6%,&F0F+FDF+F@F+F+F+*&FXF+-F26%F4FgnF+F+ F+*&)F(,*F.F+F0F.F,F/F-FboF+-FF6%FVF@F+F+FD*&)F(,*F.F+F,F/F-F6%FVF]oF+F+FD*&)F(,*F,F/F-\"#IFFapF+F+*&F'F+-FFFUF+FD*&FeoF+-F>6%FioF]oF+F+FD*&FhpF+- F26%FVF]qF+F+FD" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A20:=e0( 13,A19);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A20G,L*&)%\"qG,*!\"#\" \"\"*$%\"kG\"\"#\"#@F-F.%\"nGF.F+-%#T0G6%,&F0F+!\"$F+,$F-\"\"(F+F+F+*& )F(,*F*F+F0\"\"$F,F/F-\"\"*F+-%#T1G6%F4,&F-F7F.F+F+F+F+*&)F(,*!\"\"F+F 0F.F,F/F-F.F+-%\"UGF3F+F+*&)F(,*F5F+F0F;F,F/F-!\"&F+-F>6%F4,&F-F7FDF+F +F+F+*&)F(,*!\"'F+F0\"\"%F,F/F-F.F+FEF+F+*&F'F+-F26%,&F0F+F*F+F6F+F+F+ *&)F(,(F,F/F-!#7F0F.F+-F26%FV,&F-F7F*F+F+F+F+*&)F(,*F5F+F,F/F-F6%F4,&F-F7F+F+F+F+F+*&)F(,*!\"%F+F,F/F-\"#;F0FRF+-F2F?F+F+*&)F(,*F+ F+F,F/F-F6%,&F0F+FDF+F@F+F+F+*&FXF+-F26%F4FgnF+F+F+*&)F(,*F. F+F0F.F,F/F-FboF+-FF6%FVF@F+F+FD*&FBF+-F26%FVF]oF+F+FD*&F^pF+-F2FapF+F +*&)F(,*F,F/F-\"#IF6%FioF]oF+F+FD*&FhpF+-F26%FVF]qF+F+FD" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "A21:= splitU(17,A20);" }}{PARA 12 " " 1 "" {XPPMATH 20 "6#>%$A21G,F*&)%\"qG,*!\"#\"\"\"*$%\"kG\"\"#\"#@F-F .%\"nGF.F+-%#T0G6%,&F0F+!\"$F+,$F-\"\"(F+F+F+*&)F(,*F*F+F0\"\"$F,F/F- \"\"*F+-%#T1G6%F4,&F-F7F.F+F+F+F+*&)F(,*!\"\"F+F0F.F,F/F-F.F+-%\"UGF3F +F+*&)F(,*F5F+F0F;F,F/F-!\"&F+-F>6%F4,&F-F7FDF+F+F+F+*&)F(,*!\"'F+F0\" \"%F,F/F-F.F+FEF+F+*&F'F+-F26%,&F0F+F*F+F6F+F+F+*&)F(,(F,F/F-!#7F0F.F+ -F26%FV,&F-F7F*F+F+F+F+*&)F(,*F5F+F,F/F-F6%F4,&F-F7F+F+F+F+F +*&)F(,*!\"%F+F,F/F-\"#;F0FRF+-F2F?F+F+*&)F(,*F+F+F,F/F-F6%, &F0F+FDF+F@F+F+F+*&FXF+-F26%F4FgnF+F+F+*&)F(,*F.F+F0F.F,F/F-FboF+-FF6% FVF@F+F+FD*&FBF+-F26%FVF]oF+F+FD*&F^pF+-F2FapF+F+*&)F(,*F,F/F-\"#IF6%FioF]oF+F+F D*&FhpF+-F26%FVF]qF+F+FD" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "A22:= splitU(16,A21);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A22G,D*&) %\"qG,*!\"#\"\"\"*$%\"kG\"\"#\"#@F-F.%\"nGF.F+-%#T0G6%,&F0F+!\"$F+,$F- \"\"(F+F+F+*&)F(,*F*F+F0\"\"$F,F/F-\"\"*F+-%#T1G6%F4,&F-F7F.F+F+F+F+*& )F(,*!\"\"F+F0F.F,F/F-F.F+-%\"UGF3F+F+*&)F(,*F5F+F0F;F,F/F-!\"&F+-F>6% F4,&F-F7FDF+F+F+F+*&)F(,*!\"'F+F0\"\"%F,F/F-F.F+FEF+F+*&)F(,(F,F/F-!#7 F0F.F+-F26%,&F0F+F*F+,&F-F7F*F+F+F+F+*&)F(,*F5F+F,F/F-F6%F4, &F-F7F+F+F+F+F+*&)F(,*!\"%F+F,F/F-\"#;F0FRF+-F2F?F+F+*&)F(,*F+F+F,F/F- F6%,&F0F+FDF+F@F+F+F+*&FTF+-F26%F4FZF+F+F+*&)F(,*F.F+F0F.F,F /F-F_oF+-FF6%FYF@F+F+FD*&FBF+-F26%FYFjnF+F+FD*&F[pF+-F2F^pF+F+*&)F(,*F ,F/F-\"#IF6% FfoFjnF+F+FD*&FepF+-F26%FYFjpF+F+FD" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A23:=e0(16,A22);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#> %$A23G,D*&)%\"qG,*!\"#\"\"\"*$%\"kG\"\"#\"#@F-F.%\"nGF.F+-%#T0G6%,&F0F +!\"$F+,$F-\"\"(F+F+F+*&)F(,*F*F+F0\"\"$F,F/F-\"\"*F+-%#T1G6%F4,&F-F7F .F+F+F+F+*&)F(,*!\"\"F+F0F.F,F/F-F.F+-%\"UGF3F+F+*&)F(,*F5F+F0F;F,F/F- !\"&F+-F>6%F4,&F-F7FDF+F+F+F+*&)F(,*!\"'F+F0\"\"%F,F/F-F.F+FEF+F+*&)F( ,(F,F/F-!#7F0F.F+-F26%,&F0F+F*F+,&F-F7F*F+F+F+F+*&)F(,*F5F+F,F/F-F6%F4,&F-F7F+F+F+F+F+*&)F(,*!\"%F+F,F/F-\"#;F0FRF+-F2F?F+F+*&FTF+ -F26%F4FZF+F+F+*&)F(,*F.F+F0F.F,F/F-F_oF+-FF6%FYF@F+F+FD*&FBF+-F26%FYF jnF+F+FD*&FeoF+-F2FhoF+F+*&)F(,*F,F/F-\"#IF " 0 "" {MPLTEXT 1 0 19 "A24:=splitU(3,A23);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A24G,F*& )%\"qG,*!\"#\"\"\"*$%\"kG\"\"#\"#@F-F.%\"nGF.F+-%#T0G6%,&F0F+!\"$F+,$F -\"\"(F+F+F+*&)F(,*F*F+F0\"\"$F,F/F-\"\"*F+-%#T1G6%F4,&F-F7F.F+F+F+F+* &)F(,*!\"\"F+F0F.F,F/F-F.F+F1F+F+*&FBF+-F26%F4,&F-F7F+F+F+F+F+*&)F(,*F 5F+F0F;F,F/F-!\"&F+-F>6%F4,&F-F7FDF+F+F+F+*&)F(,*!\"'F+F0\"\"%F,F/F-F. F+-%\"UGF3F+F+*&)F(,(F,F/F-!#7F0F.F+-F26%,&F0F+F*F+,&F-F7F*F+F+F+F+*&) F(,*F5F+F,F/F-FFGF+F+*&)F(,*!\"%F+F,F/F-\"#;F0FTF+-F2F?F+F+* &FXF+-F26%F4FhnF+F+F+*&)F(,*F.F+F0F.F,F/F-FaoF+-FV6%FgnF@F+F+FD*&FBF+- F26%FgnFHF+F+FD*&FgoF+-F2FjoF+F+*&)F(,*F,F/F-\"#IF " 0 "" {MPLTEXT 1 0 18 "A25:= eT0(12,A24);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6 #>%$A25G,F*&)%\"qG,*!\"#\"\"\"*$%\"kG\"\"#\"#@F-F.%\"nGF.F+-%#T0G6%,&F 0F+!\"$F+,$F-\"\"(F+F+F+*&)F(,*F*F+F0\"\"$F,F/F-\"\"*F+-%#T1G6%F4,&F-F 7F.F+F+F+F+*&)F(,*!\"\"F+F0F.F,F/F-F.F+-F26%F4,&F-F7F+F+F+F+F+*&)F(,*F 5F+F0F;F,F/F-!\"&F+-F>6%F4,&F-F7FDF+F+F+F+*&)F(,*!\"'F+F0\"\"%F,F/F-F. 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" }}}{EXCHG {PARA 12 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}}{MARK "1 1 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }