{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 14 "######### 3.61" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "op1:= annihiloper( q^(j^2)/ \+ qfac(q,q^2,j)/ spqfac(q,q,j), 0, forward);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$op1G,**$%\"NG\"\"$\"\"\"*$F'\"\"#!\"\"*&,&%\"qGF,)F/ ,&%\"nGF)F+F)F,F)F'F)F)F/F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "########## 61 even n=2m" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 171 "a1:= asoe(op1, q^(28*j^2+2*j)*gp(2*n,n+7*j,1) - q^(28*j^2 + 30*j \+ +8)* gp(2*n, n+7*j+4,1),\nq^(28*j^2+2*j)*gp(2*n+1,n+7*j+1,1) - q^(28*j ^2 + 30*j +8)* gp(2*n+1, n+7*j+4,1));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a1G,6*&)%\"qG,(\"\"\"F**$%\"jG\"\"#\"#GF,F-F*-%#gpG6%,$%\"mGF-,& F3F*F,\"\"(F*F*F**&-F06%F2,(F3F*F,F5\"\"%F*F*F*)F(,(F+F.F,\"#I\"\"*F*F *!\"\"*&)F(,&F+F.F,F-F*-F06%,&F3F-F-F*,(F3F*F*F*F,F5F*F*F?*&)F(,(F+F.F ,F=\"\")F*F*-F06%FE,(F3F*\"\"&F*F,F5F*F*F**&-F06%,&F3F-F*F*FFF*F*F'F*F ?*&F;F*-F06%FRF9F*F*F**&FPF*)F(,*F3F-F-F*F+F.F,F-F*F?*&)F(,*F3F-\"#5F* F+F.F,F=F*FTF*F**&FAF*-F06%,&F3F-\"\"$F*,(F3F*F-F*F,F5F*F*F**&FHF*-F06 %FjnFMF*F*F?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a2:= eG1(9, a1);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a2G,4*&)%\"qG,(\"\"\"F**$% \"jG\"\"#\"#GF,F-F*-%#gpG6%,$%\"mGF-,&F3F*F,\"\"(F*F*F**&-F06%F2,(F3F* F,F5\"\"%F*F*F*)F(,(F+F.F,\"#I\"\"*F*F*!\"\"*&)F(,(F+F.F,F=\"\")F*F*-F 06%,&F3F-F-F*,(F3F*\"\"&F*F,F5F*F*F**&-F06%,&F3F-F*F*,(F3F*F*F*F,F5F*F *F'F*F?*&F;F*-F06%FLF9F*F*F**&FJF*)F(,*F3F-F-F*F+F.F,F-F*F?*&)F(,*F3F- \"#5F*F+F.F,F=F*FOF*F**&)F(,*F+F.F,F>F3F*F-F*F*-F06%FF,(F3F*F-F*F,F5F* F*F**&FAF*-F06%,&F3F-\"\"$F*FGF*F*F?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a3:= eG1(4,a2);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>% #a3G,2*&-%#gpG6%,$%\"mG\"\"#,(F+\"\"\"%\"jG\"\"(\"\"%F.F.F.)%\"qG,(*$F /F,\"#GF/\"#I\"\"*F.F.!\"\"*&)F3,(F5F6F/F7\"\")F.F.-F(6%,&F+F,F,F.,(F+ F.\"\"&F.F/F0F.F.F.*&)F3,*F5F6F/F8F+F.F,F.F.-F(6%F*,(F+F.F.F.F/F0F.F.F 9*&F2F.-F(6%,&F+F,F.F.F-F.F.F.*&-F(6%FLFHF.F.)F3,*F+F,F,F.F5F6F/F,F.F9 *&)F3,*F+F,\"#5F.F5F6F/F7F.FJF.F.*&FDF.-F(6%F@,(F+F.F,F.F/F0F.F.F.*&F; F.-F(6%,&F+F,\"\"$F.FAF.F.F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a4:= eG0(8,a3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a4G,0*&-%# gpG6%,$%\"mG\"\"#,(F+\"\"\"%\"jG\"\"(\"\"%F.F.F.)%\"qG,(*$F/F,\"#GF/\" #I\"\"*F.F.!\"\"*&)F3,*F5F6F/F8F+F.F,F.F.-F(6%F*,(F+F.F.F.F/F0F.F.F9*& F2F.-F(6%,&F+F,F.F.F-F.F.F.*&-F(6%FCF?F.F.)F3,*F+F,F,F.F5F6F/F,F.F9*&) F3,*F+F,\"#5F.F5F6F/F7F.FAF.F.*&F;F.-F(6%,&F+F,F,F.,(F+F.F,F.F/F0F.F.F .*&)F3,*F5F6F/\"#B\"\"'F.F+F.F.-F(6%FPF-F.F.F9" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 15 "a5:= eG0(3,a4);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a5G,.*&)%\"qG,**$%\"jG\"\"#\"#GF+\"\"*%\"mG\"\"\"F,F0F0-%#gpG 6%,$F/F,,(F/F0F0F0F+\"\"(F0F0!\"\"*&)F(,*F*F-F+\"#B\"\"'F0F/F0F0-F26%F 4,(F/F0F+F6\"\"$F0F0F0F0*&-F26%,&F/F,F0F0F5F0F0)F(,*F/F,F,F0F*F-F+F,F0 F7*&)F(,*F/F,\"#5F0F*F-F+\"#IF0-F26%FD,(F/F0F+F6\"\"%F0F0F0F0*&F'F0-F2 6%,&F/F,F,F0,(F/F0F,F0F+F6F0F0F0*&F9F0-F26%FSFNF0F0F7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "###" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a6:= eG0(5,a5);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>% #a6G,,*&)%\"qG,**$%\"jG\"\"#\"#GF+\"\"*%\"mG\"\"\"F,F0F0-%#gpG6%,$F/F, ,(F/F0F0F0F+\"\"(F0F0!\"\"*&)F(,*F*F-F+\"#B\"\"'F0F/F0F0-F26%F4,(F/F0F +F6\"\"$F0F0F0F0*&)F(,*F/F,\"#5F0F*F-F+\"#IF0-F26%,&F/F,F0F0,(F/F0F+F6 \"\"%F0F0F0F0*&F'F0-F26%FH,(F/F0F,F0F+F6F0F0F0*&F9F0-F26%,&F/F,F,F0FIF 0F0F7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a7:= eG1(5,a6);" } }{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a7G,**&)%\"qG,**$%\"jG\"\"#\"#GF+ \"\"*%\"mG\"\"\"F,F0F0-%#gpG6%,$F/F,,(F/F0F0F0F+\"\"(F0F0!\"\"*&)F(,*F *F-F+\"#B\"\"'F0F/F0F0-F26%F4,(F/F0F+F6\"\"$F0F0F0F0*&F'F0-F26%,&F/F,F 0F0,(F/F0F,F0F+F6F0F0F0*&F9F0-F26%FDF?F0F0F7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a8:= eG0(4,a7);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a8G,(*&)%\"qG,**$%\"jG\"\"#\"#GF+\"\"*%\"mG\"\"\"F,F0F0-%#gpG6%, $F/F,,(F/F0F0F0F+\"\"(F0F0!\"\"*&F'F0-F26%,&F/F,F0F0,(F/F0F,F0F+F6F0F0 F0*&)F(,*F*F-F+\"#;F/F,\"\"%F0F0-F26%F4F \+ " 0 "" {MPLTEXT 1 0 15 "a9:= eG1(2,a8);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#a9G\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "######## n = 2m + 1" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 171 "b1:= asoo(op1, q^(28*j^2+2* j)*gp(2*n,n+7*j,1) - q^(28*j^2 + 30*j +8)* gp(2*n, n+7*j+4,1),\nq^(28* j^2+2*j)*gp(2*n+1,n+7*j+1,1) - q^(28*j^2 + 30*j +8)* gp(2*n+1, n+7*j+4 ,1));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b1G,6*&-%#gpG6%,&%\"mG\"\" #\"\"\"F-,(F+F-F-F-%\"jG\"\"(F-F-)%\"qG,(F-F-*$F/F,\"#GF/F,F-F-*&)F2,( F4F5F/\"#I\"\"*F-F--F(6%F*,(F+F-F/F0\"\"%F-F-F-!\"\"*&)F2,&F4F5F/F,F-- F(6%,&F+F,\"\"$F-,(F+F-F,F-F/F0F-F-F?*&)F2,(F4F5F/F9\"\")F-F--F(6%FE,( F+F-\"\"&F-F/F0F-F-F-*&F1F--F(6%,&F+F,F,F-F.F-F-F?*&F7F--F(6%FSFNF-F-F -*&)F2,*F+F,FFF-F4F5F/F,F-FQF-F?*&)F2,*F+F,\"#6F-F4F5F/F9F-FUF-F-*&FAF --F(6%,&F+F,F>F-FGF-F-F-*&FIF--F(6%F[o,(F+F-\"\"'F-F/F0F-F-F?" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b2:= eG0(5,b1);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b2G,4*&)%\"qG,(*$%\"jG\"\"#\"#GF+\"#I\"\"*\" \"\"F0-%#gpG6%,&%\"mGF,F0F0,(F5F0F+\"\"(\"\"%F0F0F0!\"\"*&)F(,&F*F-F+F ,F0-F26%,&F5F,\"\"$F0,(F5F0F,F0F+F7F0F0F9*&)F(,(F*F-F+F.\"\")F0F0-F26% F?,(F5F0\"\"&F0F+F7F0F0F0*&)F(,*F,F0F*F-F+!\"&F5F0F0-F26%F4,&F5F0F+F7F 0F0F9*&F'F0-F26%,&F5F,F,F0FHF0F0F0*&)F(,*F5F,F@F0F*F-F+F,F0-F26%FT,(F5 F0F0F0F+F7F0F0F9*&)F(,*F5F,\"#6F0F*F-F+F.F0FRF0F0*&F;F0-F26%,&F5F,F8F0 FAF0F0F0*&FCF0-F26%F\\o,(F5F0\"\"'F0F+F7F0F0F9" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 15 "b3:= eG1(9,b2);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b3G,2*&)%\"qG,(*$%\"jG\"\"#\"#GF+\"#I\"\"*\"\"\"F0-%#gpG6%,&% \"mGF,F0F0,(F5F0F+\"\"(\"\"%F0F0F0!\"\"*&)F(,&F*F-F+F,F0-F26%,&F5F,\" \"$F0,(F5F0F,F0F+F7F0F0F9*&)F(,*F,F0F*F-F+!\"&F5F0F0-F26%F4,&F5F0F+F7F 0F0F9*&F'F0-F26%,&F5F,F,F0,(F5F0\"\"&F0F+F7F0F0F0*&)F(,*F5F,F@F0F*F-F+ F,F0-F26%FL,(F5F0F0F0F+F7F0F0F9*&)F(,*F5F,\"#6F0F*F-F+F.F0FJF0F0*&F;F0 -F26%,&F5F,F8F0FAF0F0F0*&)F(,*F*F-F+\"#P\"#9F0F5F0F0-F26%F?,(F5F0\"\"' F0F+F7F0F0F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b4:= eG1(4, b3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b4G,0*&)%\"qG,&*$%\"jG\"\"# \"#GF+F,\"\"\"-%#gpG6%,&%\"mGF,\"\"$F.,(F3F.F,F.F+\"\"(F.F.!\"\"*&)F(, *F,F.F*F-F+!\"&F3F.F.-F06%,&F3F,F.F.,&F3F.F+F6F.F.F7*&)F(,*F*F-F+\"#P \"#9F.F3F.F.-F06%F>,(F3F.\"\"&F.F+F6F.F.F.*&)F(,*F3F,F4F.F*F-F+F,F.-F0 6%,&F3F,F,F.,(F3F.F.F.F+F6F.F.F7*&)F(,*F3F,\"#6F.F*F-F+\"#IF.-F06%FNFG F.F.F.*&F'F.-F06%,&F3F,\"\"%F.F5F.F.F.*&FAF.-F06%F2,(F3F.\"\"'F.F+F6F. F.F7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b5:= eG0(6,b4);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b5G,.*&)%\"qG,*\"\"#\"\"\"*$%\"jGF* \"#GF-!\"&%\"mGF+F+-%#gpG6%,&F0F*F+F+,&F0F+F-\"\"(F+F+!\"\"*&)F(,*F,F. F-\"#P\"#9F+F0F+F+-F26%F4,(F0F+\"\"&F+F-F6F+F+F+*&)F(,*F0F*\"\"$F+F,F. F-F*F+-F26%,&F0F*F*F+,(F0F+F+F+F-F6F+F+F7*&)F(,*F0F*\"#6F+F,F.F-\"#IF+ -F26%FGF?F+F+F+*&F'F+-F26%,&F0F*FDF+FHF+F+F+*&F9F+-F26%FS,(F0F+\"\"'F+ F-F6F+F+F7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b6:= eG1(5,b5 );" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b6G,,*&)%\"qG,*\"\"#\"\"\"*$% \"jGF*\"#GF-!\"&%\"mGF+F+-%#gpG6%,&F0F*F+F+,&F0F+F-\"\"(F+F+!\"\"*&)F( ,*F,F.F-\"#P\"#9F+F0F+F+-F26%F4,(F0F+\"\"&F+F-F6F+F+F+*&)F(,*F0F*\"#6F +F,F.F-\"#IF+-F26%,&F0F*F*F+F?F+F+F+*&F'F+-F26%FHF5F+F+F+*&F9F+-F26%,& F0F*\"\"$F+,(F0F+\"\"'F+F-F6F+F+F7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b7:= eG0(5,b6);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>% #b7G,**&)%\"qG,*\"\"#\"\"\"*$%\"jGF*\"#GF-!\"&%\"mGF+F+-%#gpG6%,&F0F*F +F+,&F0F+F-\"\"(F+F+!\"\"*&)F(,*F,F.F-\"#P\"#9F+F0F+F+-F26%F4,(F0F+\" \"&F+F-F6F+F+F+*&F'F+-F26%,&F0F*F*F+F5F+F+F+*&F9F+-F26%FD,(F0F+\"\"'F+ F-F6F+F+F7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b8:= eG0(3,b7 );" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b8G,(*&)%\"qG,**$%\"jG\"\"#\" #GF+\"#P\"#9\"\"\"%\"mGF0F0-%#gpG6%,&F1F,F0F0,(F1F0\"\"&F0F+\"\"(F0F0F 0*&)F(,*\"\"%F0F*F-F+!#7F1F,F0-F36%F5,(F1F0F+F8!\"\"F0F0F0F0*&F'F0-F36 %,&F1F,F,F0,(F1F0\"\"'F0F+F8F0F0FA" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b9:= eG1(3,b8);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>% #b9G,&*&)%\"qG,*\"\"%\"\"\"*$%\"jG\"\"#\"#GF-!#7%\"mGF.F+-%#gpG6%,&F1F .F+F+,(F1F+F-\"\"(!\"\"F+F+F+F+*&)F(,*F,F/F-\"#W\"#?F+F1F.F+-F36%F5,(F 1F+\"\"'F+F-F7F+F+F8" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "b10 := shiftdown(2,b9);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$b10G\"\"!" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "2 0 0" 0 } {VIEWOPTS 1 1 0 1 1 1803 }