{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 11 "###### 3.53" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 134 "op53:= annihiloper( qfac(q, q^4,j) * qfac(q^3,q^4,j) * q^(4*j^2) / qfac( q^4,q^8,j) / qfac(-q^4,q^ 4,j) /spqfac(q^4,q^4,j), 0, forward);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%op53G,.*$%\"NG\"\"%\"\"\"*&,&*$%\"qGF(F)!\"\"F)F)F'\"\"$F)*&,&)F -,&%\"nGF(\"#7F)F.F,!\"#F)F'\"\"#F)*&,*)F-,&F4F(\"\"*F)F))F-,&F4F(\"#6 F)F)*$F-\"\")F.F,F)F)F'F)F)F@F))F-,&F4F(FAF)F." }}}{EXCHG {PARA 12 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 117 "Aeven:= subs(\{m=n,k=j\}, \+ q^(24*k^2 + 2*k ) * gp(2*n , n+ 3*k , 4) \n -q^(24*k^2 +22*k+5) * \+ gp(2*n-1, n+ 3*k+1,4));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&AevenG,& *&)%\"qG,&*$%\"jG\"\"#\"#CF+F,\"\"\"-%#gpG6%,$%\"nGF,,&F3F.F+\"\"$\"\" %F.F.*&)F(,(F*F-F+\"#A\"\"&F.F.-F06%,&F3F,!\"\"F.,(F3F.F+F5F.F.F6F.F? " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 117 "Aodd:= subs(\{m=n,k=j \}, q^(24*k^2 + 2*k ) * gp(2*n , n+ 3*k , 4) \n -q^(24*k^2 +22*k+ 5) * gp(2*n+1, n+ 3*k+2, 4));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%Ao ddG,&*&)%\"qG,&*$%\"jG\"\"#\"#CF+F,\"\"\"-%#gpG6%,$%\"nGF,,&F3F.F+\"\" $\"\"%F.F.*&)F(,(F*F-F+\"#A\"\"&F.F.-F06%,&F3F,F.F.,(F3F.F+F5F,F.F6F.! \"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "###### n even = 2m " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "a1:= asoe(op53, Aeven, \+ Aodd);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a1G,B*&-%#gpG6%,&%\"mG\" \"#!\"\"\"\"\",(F+F.%\"jG\"\"$F.F.\"\"%F.)%\"qG,(\"#8F.*$F0F,\"#CF0\"# AF.F-*&-F(6%,$F+F,,&F+F.F0F1F2F.)F4,*F+\"\")FAF.F7F8F0F,F.F-*&F'F.)F4, *F+FAF6F.F7F8F0F9F.F.*&-F(6%,&F+F,F,F.F/F2F.)F4,*F+FA\"#7F.F7F8F0F,F.F -*&-F(6%,&F+F,F.F.,(F+F.F,F.F0F1F2F.)F4,*F+FA\"# " 0 "" {MPLTEXT 1 0 37 " simp lify(add(subs(m=8,a1),j=-3..3));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\" \"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "a2:= eG0(13,a1);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a2G,D*&-%#gpG6%,&%\"mG\"\"#!\"\"\" \"\",(F+F.%\"jG\"\"$F.F.\"\"%F.)%\"qG,(\"#8F.*$F0F,\"#CF0\"#AF.F-*&-F( 6%,$F+F,,&F+F.F0F1F2F.)F4,*F+\"\")FAF.F7F8F0F,F.F-*&F'F.)F4,*F+FAF6F.F 7F8F0F9F.F.*&-F(6%,&F+F,F,F.F/F2F.)F4,*F+FA\"#7F.F7F8F0F,F.F-*&-F(6%,& F+F,F.F.,(F+F.F,F.F0F1F2F.)F4,*F+FA\"# " 0 "" {MPLTEXT 1 0 16 "a3:= eG1(13,a2);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a3G,B*&-%#gpG6%,$%\"mG\"\"#,&F+\"\"\"%\"j G\"\"$\"\"%F.)%\"qG,*F+\"\")F5F.*$F/F,\"#CF/F,F.!\"\"*&-F(6%,&F+F,F8F. ,(F+F.F/F0F.F.F1F.)F3,*F+F5\"#8F.F6F7F/\"#AF.F.*&-F(6%,&F+F,F,F.F=F1F. )F3,*F+F5\"#7F.F6F7F/F,F.F8*&-F(6%,&F+F,F.F.,(F+F.F,F.F/F0F1F.)F3,*F+F 5\"# \+ " 0 "" {MPLTEXT 1 0 15 "a4:= eG1(7,a3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a4G,D*&-%#gpG6%,$%\"mG\"\"#,&F+\"\"\"%\"jG\"\"$\"\"%F.)%\"qG, *F+\"\")F5F.*$F/F,\"#CF/F,F.!\"\"*&-F(6%,&F+F,F8F.,(F+F.F/F0F.F.F1F.)F 3,*F+F5\"#8F.F6F7F/\"#AF.F.*&-F(6%,&F+F,F,F.F=F1F.)F3,*F+F5\"#7F.F6F7F /F,F.F8*&-F(6%,&F+F,F.F.,(F+F.F,F.F/F0F1F.)F3,*F+F5\"# " 0 "" {MPLTEXT 1 0 16 "a5:= eG0(7, a4);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a5G,B*&-%#gpG6%,$%\"mG\"\"#,&F+\"\"\"%\"j G\"\"$\"\"%F.)%\"qG,*F+\"\")F5F.*$F/F,\"#CF/F,F.!\"\"*&-F(6%,&F+F,F8F. ,(F+F.F/F0F.F.F1F.)F3,*F+F5\"#8F.F6F7F/\"#AF.F.*&-F(6%,&F+F,F,F.F=F1F. )F3,*F+F5\"#7F.F6F7F/F,F.F8*&-F(6%,&F+F,F.F.,(F+F.F,F.F/F0F1F.)F3,*F+F 5\"# " 0 "" {MPLTEXT 1 0 15 "a6:= eG0(5,a5); " }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a6G,D*&-%#gpG6%,$%\"mG\"\"#,&F+ \"\"\"%\"jG\"\"$\"\"%F.)%\"qG,*F+\"\")F5F.*$F/F,\"#CF/F,F.!\"\"*&-F(6% ,&F+F,F8F.,(F+F.F/F0F.F.F1F.)F3,*F+F5\"#8F.F6F7F/\"#AF.F.*&-F(6%,&F+F, F,F.F=F1F.)F3,*F+F5\"#7F.F6F7F/F,F.F8*&-F(6%,&F+F,F.F.,(F+F.F,F.F/F0F1 F.)F3,*F+F5\"# " 0 "" {MPLTEXT 1 0 15 "a7:= eG1(5,a6);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a7G,B*&-%#gpG6%,$%\"mG\"\"#,&F+\"\"\"%\"jG\"\"$\"\"% F.)%\"qG,*F+\"\")F5F.*$F/F,\"#CF/F,F.!\"\"*&-F(6%,&F+F,F8F.,(F+F.F/F0F .F.F1F.)F3,*F+F5\"#8F.F6F7F/\"#AF.F.*&-F(6%,&F+F,F,F.F=F1F.)F3,*F+F5\" #7F.F6F7F/F,F.F8*&-F(6%,&F+F,F.F.,(F+F.F,F.F/F0F1F.)F3,*F+F5\"# " 0 "" {MPLTEXT 1 0 15 "a8:= eG0(8,a7);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a8G,@*&-%#gpG6%,$%\"mG\"\"#,&F+\"\"\"%\"jG\" \"$\"\"%F.)%\"qG,*F+\"\")F5F.*$F/F,\"#CF/F,F.!\"\"*&-F(6%,&F+F,F8F.,(F +F.F/F0F.F.F1F.)F3,*F+F5\"#8F.F6F7F/\"#AF.F.*&-F(6%,&F+F,F,F.F=F1F.)F3 ,*F+F5\"#7F.F6F7F/F,F.F8*&-F(6%,&F+F,F.F.,(F+F.F,F.F/F0F1F.)F3,*F+F5\" # " 0 "" {MPLTEXT 1 0 15 "a9:= eG0(8,a8);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a9G,>*&-%#gpG6%,$%\"mG\"\"#,&F+\"\"\"%\"jG\" \"$\"\"%F.)%\"qG,*F+\"\")F5F.*$F/F,\"#CF/F,F.!\"\"*&-F(6%,&F+F,F8F.,(F +F.F/F0F.F.F1F.)F3,*F+F5\"#8F.F6F7F/\"#AF.F.*&-F(6%,&F+F,F.F.,(F+F.F,F .F/F0F1F.)F3,*F+F5\"# " 0 "" {MPLTEXT 1 0 17 "a10:= e G1(7,a9); " }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a10G,@*&-%#gpG6%,$%\" mG\"\"#,&F+\"\"\"%\"jG\"\"$\"\"%F.)%\"qG,*F+\"\")F5F.*$F/F,\"#CF/F,F.! \"\"*&-F(6%,&F+F,F8F.,(F+F.F/F0F.F.F1F.)F3,*F+F5\"#8F.F6F7F/\"#AF.F.*& -F(6%,&F+F,F.F.,(F+F.F,F.F/F0F1F.)F3,*F+F5\"# " 0 "" {MPLTEXT 1 0 17 "a11:= eG0(7,a10);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a11G,:*&-%#gpG6%,&%\"mG\"\"#!\"\"\"\"\",( F+F.%\"jG\"\"$F.F.\"\"%F.)%\"qG,*F+\"\")\"#8F.*$F0F,\"#CF0\"#AF.F.*&-F (6%,&F+F,F.F.,(F+F.F,F.F0F1F2F.)F4,*F+F6\"#,(F+F.F0F1F-F.F2 F.F.*&)F4,*F8F9F0\"#EF+F6FKF.F.F " 0 "" {MPLTEXT 1 0 18 "a12:= eG1(12,a11);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6 #>%$a12G,<*&-%#gpG6%,&%\"mG\"\"#!\"\"\"\"\",(F+F.%\"jG\"\"$F.F.\"\"%F. )%\"qG,*F+\"\")\"#8F.*$F0F,\"#CF0\"#AF.F.*&-F(6%,&F+F,F.F.,(F+F.F,F.F0 F1F2F.)F4,*F+F6\"#,(F+F.F0F1F-F.F2F.F.*&)F4,*F8F9F0\"#EF+F6F KF.F.F " 0 "" {MPLTEXT 1 0 18 "a13:= eG0(12,a12);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a13G, :*&-%#gpG6%,&%\"mG\"\"#!\"\"\"\"\",(F+F.%\"jG\"\"$F.F.\"\"%F.)%\"qG,*F +\"\")\"#8F.*$F0F,\"#CF0\"#AF.F.*&-F(6%,&F+F,F.F.,(F+F.F,F.F0F1F2F.)F4 ,*F+F6\"#,(F+F.F0F1F -F.F2F.F.*&)F4,*F8F9F0\"#EF+F6FGF.F.FF/F2F.F-*&F]oF.-F(6%,&F+F,F,F.,(F+F.F1F.F0F1F2F.F-" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "a14:= eG0(11,a13);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a14G,8*&-%#gpG6%,&%\"mG\"\"#!\"\"\"\"\",( F+F.%\"jG\"\"$F.F.\"\"%F.)%\"qG,*F+\"\")\"#8F.*$F0F,\"#CF0\"#AF.F.*&-F (6%,&F+F,F.F.,(F+F.F,F.F0F1F2F.)F4,*F+F6\"#,(F+F.F0F1F-F.F2F.F.*&)F4,*F8F9F0\"#EF+F6FGF.F. F " 0 "" {MPLTEXT 1 0 18 "a15:= eG0(11,a14);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a15G,6*&-%#gpG6%,&%\"mG\"\"#!\"\"\" \"\",(F+F.%\"jG\"\"$F.F.\"\"%F.)%\"qG,*F+\"\")\"#8F.*$F0F,\"#CF0\"#AF. F.*&)F4,*F8F9F0!#AF+F6\"#;F.F.-F(6%,&F+F,F.F.,(F+F.F0F1F-F.F2F.F.*&)F4 ,*F8F9F0\"#EF+F6F?F.F.-F(6%FB,(F+F.F,F.F0F1F2F.F.*&-F(6%,$F+F,,&F+F.F0 F1F2F.)F4,*F+F6\"\"*F.F8F9F0F,F.F.*&FHF.)F4,*F+F6\"#9F.F8F9F0F:F.F-*&F LF.)F4,*F+F6\"#6F.F8F9F0F,F.F.*&FHF.)F4,*F+F6F?F.F8F9F0F:F.F-*&)F4,*\" #@F.F8F9F0\"#MF+F2F.-F(6%F*FJF2F.F.*&)F4,*FRF.F8F9F0!\"#F+F6F.FLF.F-*& FinF.-F(6%FB,(F+F.F1F.F0F1F2F.F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "a16:= eG1(10,a15);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6 #>%$a16G,8*&-%#gpG6%,&%\"mG\"\"#!\"\"\"\"\",(F+F.%\"jG\"\"$F.F.\"\"%F. )%\"qG,*F+\"\")\"#8F.*$F0F,\"#CF0\"#AF.F.*&)F4,*F8F9F0!#AF+F6\"#;F.F.- F(6%,&F+F,F.F.,(F+F.F0F1F-F.F2F.F.*&)F4,*F8F9F0\"#EF+F6F?F.F.-F(6%FB,( F+F.F,F.F0F1F2F.F.*&-F(6%,$F+F,,&F+F.F0F1F2F.)F4,*F+F6\"\"*F.F8F9F0F,F .F.*&FHF.)F4,*F+F6\"#9F.F8F9F0F:F.F-*&FLF.)F4,*F+F6\"#6F.F8F9F0F,F.F.* &FHF.)F4,*F+F6F?F.F8F9F0F:F.F-*&)F4,*\"#@F.F8F9F0\"#MF+F2F.-F(6%F*FJF2 F.F.*&)F4,*FRF.F8F9F0!\"#F+F6F.FLF.F-*&FinF.-F(6%FNFJF2F.F-*&)F4,*\"#L F.F8F9F0\"#YF+F6F.-F(6%FN,(F+F.F1F.F0F1F2F.F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "a17:= eG0(10,a16);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a17G,2*&)%\"qG,**$%\"jG\"\"#\"#CF+!#A%\"mG\"\")\"#;\"\"\"F2-% #gpG6%,&F/F,F2F2,(F/F2F+\"\"$!\"\"F2\"\"%F2F2*&)F(,*F*F-F+\"#EF/F0F1F2 F2-F46%F6,(F/F2F,F2F+F8F:F2F2*&-F46%,$F/F,,&F/F2F+F8F:F2)F(,*F/F0\"\"* F2F*F-F+F,F2F2*&F?F2)F(,*F/F0\"#9F2F*F-F+\"#AF2F9*&FCF2)F(,*F/F0\"#6F2 F*F-F+F,F2F2*&F?F2)F(,*F/F0F1F2F*F-F+FNF2F9*&)F(,*FIF2F*F-F+!\"#F/F0F2 FCF2F9*&)F(,*\"#LF2F*F-F+\"#YF/F0F2-F46%FE,(F/F2F8F2F+F8F:F2F9" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "a18:= shiftdown(2,a17);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a18G,2*&)%\"qG,**$%\"jG\"\"#\"#CF+! #A%\"mG\"\")\"#;\"\"\"F2-%#gpG6%,&F/F,F2F2,(F/F2F+\"\"$!\"\"F2\"\"%F2F 2*&)F(,*F*F-F+F.\"#9F2F/F0F2F3F2F2*&-F46%,$F/F,,&F/F2F+F8F:F2)F(,*F/F0 \"\"*F2F*F-F+F,F2F2*&-F46%F6,(F/F2F,F2F+F8F:F2)F(,*F/F0F>F2F*F-F+\"#AF 2F9*&F@F2)F(,*F/F0\"#6F2F*F-F+F,F2F2*&FHF2)F(,*F/F0F1F2F*F-F+FMF2F9*&) F(,*FFF2F*F-F+!\"#F/F0F2F@F2F9*&)F(,*\"#LF2F*F-F+\"#YF/F0F2-F46%FB,(F/ F2F8F2F+F8F:F2F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "a19:= g psym(2,a18);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a19G,2*&)%\"qG,**$% \"jG\"\"#\"#CF+!#A%\"mG\"\")\"#;\"\"\"F2-%#gpG6%,&F/F,F2F2,(F/F2F+\"\" $!\"\"F2\"\"%F2F2*&)F(,*F*F-F+F.\"#9F2F/F0F2-F46%F6,(F/F2F,F2F+!\"$F:F 2F2*&-F46%,$F/F,,&F/F2F+F8F:F2)F(,*F/F0\"\"*F2F*F-F+F,F2F2*&-F46%F6,(F /F2F,F2F+F8F:F2)F(,*F/F0F>F2F*F-F+\"#AF2F9*&FDF2)F(,*F/F0\"#6F2F*F-F+F ,F2F2*&FLF2)F(,*F/F0F1F2F*F-F+FQF2F9*&)F(,*FJF2F*F-F+!\"#F/F0F2FDF2F9* &)F(,*\"#LF2F*F-F+\"#YF/F0F2-F46%FF,(F/F2F8F2F+F8F:F2F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "a20:= negate(2,a19);" }}{PARA 12 " " 1 "" {XPPMATH 20 "6#>%$a20G,.*&)%\"qG,**$%\"jG\"\"#\"#CF+!#A%\"mG\" \")\"#;\"\"\"F2-%#gpG6%,&F/F,F2F2,(F/F2F+\"\"$!\"\"F2\"\"%F2F2*&-F46%, $F/F,,&F/F2F+F8F:F2)F(,*F/F0\"\"*F2F*F-F+F,F2F2*&F,(F/F2F 8F2F+F8F:F2F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "a21:= gpsy m(1,a20);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a21G,.*&)%\"qG,**$%\"j G\"\"#\"#CF+!#A%\"mG\"\")\"#;\"\"\"F2-%#gpG6%,&F/F,F2F2,(F/F2F,F2F+!\" $\"\"%F2F2*&-F46%,$F/F,,&F/F2F+\"\"$F9F2)F(,*F/F0\"\"*F2F*F-F+F,F2F2*& F;F2)F(,*F/F0\"#6F2F*F-F+F,F2F2*&-F46%F6,(F/F2F,F2F+F?F9F2)F(,*F/F0F1F 2F*F-F+\"#AF2!\"\"*&)F(,*FBF2F*F-F+!\"#F/F0F2F;F2FN*&)F(,*\"#LF2F*F-F+ \"#YF/F0F2-F46%F=,(F/F2F?F2F+F?F9F2FN" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "a22:= negate(1,a21);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a22G,**&-%#gpG6%,$%\"mG\"\"#,&F+\"\"\"%\"jG\"\"$\"\"%F.)%\"qG,*F +\"\")\"\"*F.*$F/F,\"#CF/F,F.F.*&F'F.)F3,*F+F5\"#6F.F7F8F/F,F.F.*&)F3, *F6F.F7F8F/!\"#F+F5F.F'F.!\"\"*&)F3,*\"#LF.F7F8F/\"#YF+F5F.-F(6%F*,(F+ F.F0F.F/F0F1F.FA" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "a23:= s hiftdown(4,a22);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a23G,**&-%#gpG6 %,$%\"mG\"\"#,&F+\"\"\"%\"jG\"\"$\"\"%F.)%\"qG,*F+\"\")\"\"*F.*$F/F,\" #CF/F,F.F.*&F'F.)F3,*F+F5\"#6F.F7F8F/F,F.F.*&)F3,*F6F.F7F8F/!\"#F+F5F. F'F.!\"\"*&)F3,*F " 0 "" {MPLTEXT 1 0 19 "a24:= gpsym(3,a23);" }}{PARA 12 "" 1 "" {XPPMATH 20 " 6#>%$a24G,**&-%#gpG6%,$%\"mG\"\"#,&F+\"\"\"%\"jG\"\"$\"\"%F.)%\"qG,*F+ \"\")\"\"*F.*$F/F,\"#CF/F,F.F.*&F'F.)F3,*F+F5\"#6F.F7F8F/F,F.F.*&)F3,* F6F.F7F8F/!\"#F+F5F.-F(6%F*,&F+F.F/!\"$F1F.!\"\"*&)F3,*F " 0 "" {MPLTEXT 1 0 20 "a25:= negate(3 ,a24);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$a25G,&*&-%#gpG6%,$%\"mG\" \"#,&F+\"\"\"%\"jG\"\"$\"\"%F.)%\"qG,*F+\"\")\"#6F.*$F/F,\"#CF/F,F.F.* &)F3,*F6F.F7F8F/!\"#F+F5F.F'F.!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "a26:= gpsym(2,a25);" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%$a26G,&*&-%#gpG6%,$%\"mG\"\"#,&F+\"\"\"%\"jG\"\"$\"\"%F.)%\"qG,*F+ \"\")\"#6F.*$F/F,\"#CF/F,F.F.*&)F3,*F6F.F7F8F/!\"#F+F5F.-F(6%F*,&F+F.F /!\"$F1F.!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "a27:= neg ate(2,a26);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$a27G\"\"!" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "##### ### n odd = 2m+1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "b1:= as oo( op53, Aeven, Aodd);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b1G,B*&- %#gpG6%,$%\"mG\"\"#,&F+\"\"\"%\"jG\"\"$\"\"%F.)%\"qG,(\"\")F.*$F/F,\"# CF/F,F.F.*&F'F.)F3,*F+F5\"#7F.F6F7F/F,F.!\"\"*&-F(6%,&F+F,F.F.,(F+F.F, F.F/F0F1F.)F3,*F+F5\"#F.)F3,*F+F5\"#=F.F6F7F/FEF.F<*&FG F.)F3,*F+F5\"#:F.F6F7F/F,F.F.*&F>F.)F3,*F+F5\"#?F.F6F7F/FEF.F<*&FGF.F2 F.F<*&F>F.FZF.F<*&-F(6%,&F+F,F1F.FAF1F.FWF.F.*&FhnF.FOF.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "b2:= eG1(13,b1);" }}{PARA 12 "" 1 " " {XPPMATH 20 "6#>%#b2G,D*&-%#gpG6%,$%\"mG\"\"#,&F+\"\"\"%\"jG\"\"$\" \"%F.)%\"qG,(\"\")F.*$F/F,\"#CF/F,F.F.*&F'F.)F3,*F+F5\"#7F.F6F7F/F,F.! \"\"*&-F(6%,&F+F,F.F.,(F+F.F,F.F/F0F1F.)F3,*F+F5\"#F.)F 3,*F+F5\"#=F.F6F7F/FEF.F<*&FGF.)F3,*F+F5\"#:F.F6F7F/F,F.F.*&F>F.)F3,*F +F5\"#?F.F6F7F/FEF.F<*&F2F.-F(6%F@F-F1F.F<*&)F3,*F;F.F6F7F/\"#9F+F1F.- F(6%F@FJF1F.F<*&F>F.FZF.F<*&-F(6%,&F+F,F1F.FAF1F.FWF.F.*&FhnF.FOF.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "b3:= eG0(13,b2);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b3G,B*&-%#gpG6%,$%\"mG\"\"#,&F+\"\" \"%\"jG\"\"$\"\"%F.)%\"qG,*F+\"\")\"#7F.*$F/F,\"#CF/F,F.!\"\"*&-F(6%,& F+F,F.F.,(F+F.F,F.F/F0F1F.)F3,*F+F5\"#F1F.FT F.F.*&FenF.FLF.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "b4:= e G0(15,b3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b4G,D*&-%#gpG6%,$%\"m G\"\"#,&F+\"\"\"%\"jG\"\"$\"\"%F.)%\"qG,*F+\"\")\"#7F.*$F/F,\"#CF/F,F. !\"\"*&-F(6%,&F+F,F.F.,(F+F.F,F.F/F0F1F.)F3,*F+F5\"#F1F.F.*&F]pF.-F(6%FNFGF1F.F.*&FenF.FLF.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "b5:= eG1(15,b4);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b5G,B*&-%#gpG6%,$%\"mG\"\"#,&F+\"\"\"%\"jG\"\"$\"\"%F.)%\"qG, *F+\"\")\"#7F.*$F/F,\"#CF/F,F.!\"\"*&-F(6%,&F+F,F.F.,(F+F.F,F.F/F0F1F. )F3,*F+F5\"#F1F.F.*&FjoF.-F(6%FNFGF1F.F.*&FXF.FLF.F." }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 16 "b6:= eG1(15,b5);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b6G,@*&-%#gpG6%,$%\"mG\"\"#,&F+\"\"\"%\"jG\"\"$\"\"%F.)%\"qG, *F+\"\")\"#7F.*$F/F,\"#CF/F,F.!\"\"*&-F(6%,&F+F,F.F.,(F+F.F,F.F/F0F1F. )F3,*F+F5\"#F1F.F.*&FfoF.-F(6%FZF-F1F .F.*&FPF.FDF.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "b7:= eG0 (14,b6);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b7G,B*&-%#gpG6%,$%\"mG \"\"#,&F+\"\"\"%\"jG\"\"$\"\"%F.)%\"qG,*F+\"\")\"#7F.*$F/F,\"#CF/F,F.! \"\"*&-F(6%,&F+F,F.F.,(F+F.F,F.F/F0F1F.)F3,*F+F5\"#F1F.F.*&FfoF.-F(6%F=F-F1F.F.*&)F3,*FdoF.F7F8F/!#AF+F5F.- F(6%F=F[pF1F.F.*&FPF.FDF.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "b8:= eG1(14,b7);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b8G,<*&-%#g pG6%,&%\"mG\"\"#\"\"\"F-,(F+F-F,F-%\"jG\"\"$\"\"%F-)%\"qG,*F+\"\")\"#< F-*$F/F,\"#CF/\"#AF-F-*&-F(6%,&F+F,F0F-,(F+F-F0F-F/F0F1F-)F3,*F+F5\"#@ F-F7F8F/F9F-F-*&F;F-)F3,(\"\"*F-F7F8F/F9F-F-*&)F3,(F7F8F/F9\"\"&F-F--F (6%,&F+F,FIF-,(F+F-F1F-F/F0F1F-!\"\"*&-F(6%,&F+F,F,F-,(F+F-F/F0F-F-F1F -)F3,*F+F5\"#8F-F7F8F/F,F-F-*&F'F-)F3,*F+F5\"#=F-F7F8F/F9F-FN*&FPF-)F3 ,*F+F5\"#:F-F7F8F/F,F-F-*&F'F-)F3,*F+F5\"#?F-F7F8F/F9F-FN*&)F3,*\"#7F- F7F8F/\"#9F+F1F--F(6%F*FSF1F-FN*&F'F-FCF-FN*&F^oF--F(6%FRF.F1F-F-*&)F3 ,*F\\oF-F7F8F/!#AF+F5F--F(6%F*,(F+F-F/F0FNF-F1F-F-*&FGF-F;F-F-" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "b9:= eG1(11,b8);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b9G,:*&-%#gpG6%,&%\"mG\"\"#\"\"\"F-,(F+F- F,F-%\"jG\"\"$\"\"%F-)%\"qG,*F+\"\")\"# " 0 "" {MPLTEXT 1 0 16 "b10:= eG0(4,b9);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b10G,<*&-%#gpG6%,&%\"mG\"\"#\"\"\"F -,(F+F-F,F-%\"jG\"\"$\"\"%F-)%\"qG,*F+\"\")\"#F1F-FN*&-F(6%,&F+F,F, F-,(F+F-F/F0F-F-F1F-)F3,*F+F5\"#8F-F7F8F/F,F-F-*&F'F-)F3,*F+F5\"#=F-F7 F8F/F9F-FN*&FVF-)F3,*F+F5\"#:F-F7F8F/F,F-F-*&F'F-)F3,*F+F5\"#?F-F7F8F/ F9F-FN*&F'F-FCF-FN*&)F3,*FboF-F7F8F/\"#EF+F5F-F'F-F-*&)F3,*FboF-F7F8F/ !#AF+F5F--F(6%F*,(F+F-F/F0FNF-F1F-F-*&FGF-F;F-F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "b11:= eG1(4,b10);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b11G,:*&-%#gpG6%,&%\"mG\"\"#\"\"\"F-,(F+F-F,F-%\"jG \"\"$\"\"%F-)%\"qG,*F+\"\")\"#F1F-FM*&-F(6%,&F+F,F,F-,(F+F-F/F0F -F-F1F-)F3,*F+F5\"#8F-F7F8F/F,F-F-*&F'F-)F3,*F+F5\"#=F-F7F8F/F9F-FM*&F VF-)F3,*F+F5\"#:F-F7F8F/F,F-F-*&F'F-)F3,*F+F5\"#?F-F7F8F/F9F-FM*&F'F-F CF-FM*&)F3,*FboF-F7F8F/\"#EF+F5F-F'F-F-*&)F3,*FboF-F7F8F/!#AF+F5F--F(6 %F*,(F+F-F/F0FMF-F1F-F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 " b12:= gpsym(12,b11);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b12G,:*&-%# gpG6%,&%\"mG\"\"#\"\"\"F-,(F+F-F,F-%\"jG\"\"$\"\"%F-)%\"qG,*F+\"\")\"# F1F-FM*&-F(6%,&F+F,F,F-,(F+F-F/F0F-F-F1F-)F3,*F+F5\"#8F-F7F8F/F, F-F-*&F'F-)F3,*F+F5\"#=F-F7F8F/F9F-FM*&FVF-)F3,*F+F5\"#:F-F7F8F/F,F-F- *&F'F-)F3,*F+F5\"#?F-F7F8F/F9F-FM*&F'F-FCF-FM*&)F3,*FboF-F7F8F/\"#EF+F 5F-F'F-F-*&)F3,*FboF-F7F8F/!#AF+F5F--F(6%F*,(F+F-F,F-F/!\"$F1F-F-" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "b13:= negate(12,b12);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b13G,6*&-%#gpG6%,&%\"mG\"\"#\"\"\"F -,(F+F-F,F-%\"jG\"\"$\"\"%F-)%\"qG,*F+\"\")\"#F1F-FM*&-F(6%,&F+F ,F,F-,(F+F-F/F0F-F-F1F-)F3,*F+F5\"#8F-F7F8F/F,F-F-*&F'F-)F3,*F+F5\"#=F -F7F8F/F9F-FM*&FVF-)F3,*F+F5\"#:F-F7F8F/F,F-F-*&F'F-FCF-FM*&)F3,*\"#?F -F7F8F/\"#EF+F5F-F'F-F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 " b14:= shiftdown(7,b13);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b14G,6*& -%#gpG6%,&%\"mG\"\"#\"\"\"F-,(F+F-F,F-%\"jG\"\"$\"\"%F-)%\"qG,*F+\"\") \"#F1F-FM*&-F(6%,&F+F,F,F-,(F+F-F/F0F-F-F1F-)F3,*F+F5\"#8F-F7F8F /F,F-F-*&)F3,*F+F5\"#?F-F7F8F/!#EF--F(6%F*,(F+F-F/F0FMF-F1F-FM*&FVF-)F 3,*F+F5\"#:F-F7F8F/F,F-F-*&F'F-FCF-FM*&)F3,*FjnF-F7F8F/\"#EF+F5F-F'F-F -" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "b15:= gpsym(7,b14);" } }{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b15G,6*&-%#gpG6%,&%\"mG\"\"#\"\"\" F-,(F+F-F,F-%\"jG\"\"$\"\"%F-)%\"qG,*F+\"\")\"#F1F-FM*&-F(6%,&F+ F,F,F-,(F+F-F/F0F-F-F1F-)F3,*F+F5\"#8F-F7F8F/F,F-F-*&)F3,*F+F5\"#?F-F7 F8F/!#EF--F(6%F*,(F+F-F,F-F/!\"$F1F-FM*&FVF-)F3,*F+F5\"#:F-F7F8F/F,F-F -*&F'F-FCF-FM*&)F3,*FjnF-F7F8F/\"#EF+F5F-F'F-F-" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 20 "b16:= negate(7,b15);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b16G,2*&-%#gpG6%,&%\"mG\"\"#\"\"\"F-,(F+F-F,F-%\"jG \"\"$\"\"%F-)%\"qG,*F+\"\")\"#F1F-FM*&-F(6%,&F+F,F,F-,(F+F-F/F0F -F-F1F-)F3,*F+F5\"#8F-F7F8F/F,F-F-*&FVF-)F3,*F+F5\"#:F-F7F8F/F,F-F-*&F 'F-FCF-FM" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "b17:= eG1(3,b1 6);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b17G,4*&-%#gpG6%,&%\"mG\"\"# \"\"\"F-,(F+F-F,F-%\"jG\"\"$\"\"%F-)%\"qG,*F+\"\")\"#F1F-F-*&FJF--F(6%F=,(F+F-F1F-F/F0F1F-!\"\"*&)F3,*FEF-F7F8F/ \"#5F+F1F--F(6%,&F+F,F1F-F>F1F-FS*&-F(6%FH,(F+F-F/F0F-F-F1F-)F3,*F+F5 \"#8F-F7F8F/F,F-F-*&FfnF-)F3,*F+F5\"#:F-F7F8F/F,F-F-*&F'F-FCF-FS" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "b18:= eG0(3,b17);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b18G,2*&-%#gpG6%,&%\"mG\"\"#\"\"\"F-,(F+F -F,F-%\"jG\"\"$\"\"%F-)%\"qG,*F+\"\")\"#F1F-F-*&FKF--F(6%F=,(F+F-F1F-F/F0F1F-!\"\"*&FCF--F(6%, &F+F,F1F-F>F1F-FU*&-F(6%FPFIF1F-)F3,*F+F5\"#8F-F7F8F/F,F-F-*&FenF-)F3, *F+F5\"#:F-F7F8F/F,F-F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 " b19:= eG1(5,b18);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b19G,0*&-%#gpG 6%,&%\"mG\"\"#\"\"\"F-,(F+F-F,F-%\"jG\"\"$\"\"%F-)%\"qG,*F+\"\")\"#F1F-FS*&-F(6%FQFIF1F-)F3,*F+F5\"#8F-F7F8F/F,F-F-*&F YF-)F3,*F+F5\"#:F-F7F8F/F,F-F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "b20:= eG1(5,b19);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b20G,. *&-%#gpG6%,&%\"mG\"\"#\"\"\"F-,(F+F-F,F-%\"jG\"\"$\"\"%F-)%\"qG,*F+\" \")\"# \+ " 0 "" {MPLTEXT 1 0 17 "b21:= eG0(4,b20);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b21G,0*&-%#gpG6%,&%\"mG\"\"#\"\"\"F-,(F+F-F,F-%\"jG \"\"$\"\"%F-)%\"qG,*F+\"\")\"# " 0 "" {MPLTEXT 1 0 17 "b22:= eG1(4,b21);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b22G,**&)% \"qG,*\"#P\"\"\"*$%\"jG\"\"#\"#CF-\"#Y%\"mG\"\")F+-%#gpG6%,&F1F.F.F+,( F1F+\"\"%F+F-\"\"$F8F+!\"\"*&)F(,*\"#8F+F,F/F-!\"#F1F2F+-F46%F6,(F1F+F -F9F+F+F8F+F:*&F@F+)F(,*F1F2F>F+F,F/F-F.F+F+*&F@F+)F(,*F1F2\"#:F+F,F/F -F.F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "b23:= shiftdown( 1,b22);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b23G,**&)%\"qG,*\"#:\"\" \"*$%\"jG\"\"#\"#CF-!\"#%\"mG\"\")F+-%#gpG6%,&F1F.F.F+,(F1F+F-\"\"$F+F +\"\"%F+!\"\"*&)F(,*\"#8F+F,F/F-F0F1F2F+F3F+F:*&F3F+)F(,*F1F2F>F+F,F/F -F.F+F+*&F3F+)F(,*F1F2F*F+F,F/F-F.F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "b24:= gpsym(1,b23);" }}{PARA 12 "" 1 "" {XPPMATH 20 " 6#>%$b24G,**&)%\"qG,*\"#:\"\"\"*$%\"jG\"\"#\"#CF-!\"#%\"mG\"\")F+-%#gp G6%,&F1F.F.F+,(F1F+F+F+F-!\"$\"\"%F+!\"\"*&)F(,*\"#8F+F,F/F-F0F1F2F+-F 46%F6,(F1F+F-\"\"$F+F+F9F+F:*&F?F+)F(,*F1F2F>F+F,F/F-F.F+F+*&F?F+)F(,* F1F2F*F+F,F/F-F.F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "b25 := negate(1,b24);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b25G,&*&)%\"qG ,*\"#8\"\"\"*$%\"jG\"\"#\"#CF-!\"#%\"mG\"\")F+-%#gpG6%,&F1F.F.F+,(F1F+ F-\"\"$F+F+\"\"%F+!\"\"*&F3F+)F(,*F1F2F*F+F,F/F-F.F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "b26:= gpsym(1,b25);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b26G,&*&)%\"qG,*\"#8\"\"\"*$%\"jG\"\"#\"#CF-!\" #%\"mG\"\")F+-%#gpG6%,&F1F.F.F+,(F1F+F+F+F-!\"$\"\"%F+!\"\"*&-F46%F6,( F1F+F-\"\"$F+F+F9F+)F(,*F1F2F*F+F,F/F-F.F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "b27:= negate(1,b26);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$b27G\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "2 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }