{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 29 "######## 3.105-A wit h q-->q^2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 160 "op2:= annihil oper( qfac(-q^2,q^2,j+1) * qfac(-q^4,q^4,j) * qfac(q^2,q^2, j+1) * q^( j^2+j) / qfac(q^2,q^4,j+1) / qfac(q^4,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&%\"NG!\"\"F/*&,&*$F*\"\"%F&*$F*F-F&F&F.!\"#F/*&,&F 2F/F4F/F&F.!\"$F/*&F*\"\"'F.!\"%F&*&,&*$F*F:F&F)F/F&F.!\"&F/" }}} {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 60 "A1:= app lyshiftop(op2, q^(8*j^2 + 4*j) * T1(n+1, 4*j+1, 1));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A1G,6*&)%\"qG,(*$%\"jG\"\"#\"\")F+\"\"%\"\"'\"\" \"F0-%#T1G6%,&%\"nGF0!\"%F0,&F+F.F0F0F0F0!\"\"*&)F(,(F*F-F+F.F5F,F0F1F 0F0*&F'F0-F26%,&F5F0!\"$F0F7F0F0F0*&)F(,(F*F-F+F.F.F0F0-F26%,&F5F0!\"# F0F7F0F0F0*&)F(,(F*F-F+F.F,F0F0FDF0F0*&-F26%,&F5F0F8F0F7F0F0FBF0F8*&FL F0FIF0F8*&)F(,&F*F-F+F.F0-F26%F5F7F0F0F8*&F:F0FSF0F8*&FQF0-F26%,&F5F0F 0F0F7F0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A2:= eT1(10, A1);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#A2G,6*&)%\"qG,(*$%\"jG\"\"# \"\")F+\"\"%\"\"'\"\"\"F0-%#T1G6%,&%\"nGF0!\"%F0,&F+F.F0F0F0F0!\"\"*&) F(,(F*F-F+F.F5F,F0F1F0F0*&F'F0-F26%,&F5F0!\"$F0F7F0F0F0*&)F(,(F*F-F+F. 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"6#>%$A16G,>*&)%\"qG,(*$%\"jG\"\"#\"\")F+\"\"%%\"nGF,\"\" \"-%#T1G6%,&F/F0!\"%F0,&F+F.F0F0F0F0F0*&)F(,*F*F-F+F-F.F0F/F0F0-%#T0G6 %F4,&F+F.F,F0F0F0F0*&)F(,(F*F-F,F0F/F0F0-F;6%F4,$F+F.F0F0F0*&F8F0-F;6% ,&F/F0!\"#F0F=F0F0!\"\"*&F?F0-F;6%FGFCF0F0FI*&)F(,*F*F-F+F-F/\"\"$F0F0 F0-F;6%,&F/F0FIF0F=F0F0FI*&)F(,*F*F-F+\"#7F/F,F.F0F0-F26%FG,&F+F.FPF0F 0F0F0*&)F(,*F*F-F+\"#;F/FP\"\"'F0F0-F;6%FG,&F+F.F.F0F0F0F0*&F'F0-F26%F G,&F+F5FHF0F0F0F0*&)F(,(F*F-F/FP!\"$F0F0-F;6%FG,&F+F5FIF0F0F0F0*&FNF0- F;6%FG,&F+F5FdoF0F0F0F0*&)F(,(F*F-F/FPFHF0F0-F;6%FSFgoF0F0F0*&)F(,(F*F -F/F,F+F5F0-F26%FG,&F+F5F0F0F0F0F0*&)F(,(F*F-F/FPF+!\")F0-F;6%FG,&F+F5 F,F0F0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "A17:= shiftdo wn(9,A16);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A17G,>*&)%\"qG,(*$%\" jG\"\"#\"\")F+\"\"%%\"nGF,\"\"\"-%#T1G6%,&F/F0!\"%F0,&F+F.F0F0F0F0F0*& )F(,*F*F-F+F-F.F0F/F0F0-%#T0G6%F4,&F+F.F,F0F0F0F0*&)F(,(F*F-F,F0F/F0F0 -F;6%F4,$F+F.F0F0F0*&F8F0-F;6%,&F/F0!\"#F0F=F0F0!\"\"*&F?F0-F;6%FGFCF0 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(*$%\"jG\"\"#\"\")F+\"\"%%\"nGF,\"\"\"-%#T1G6%,&F/F0!\"%F0,&F+F.F0F0F0 F0F0*&)F(,*F*F-F+F-F.F0F/F0F0-%#T0G6%F4,&F+F.F,F0F0F0F0*&)F(,(F*F-F,F0 F/F0F0-F;6%F4,$F+F.F0F0F0*&F8F0-F;6%,&F/F0!\"#F0F=F0F0!\"\"*&F?F0-F;6% FGFCF0F0FI*&)F(,*F*F-F+F-F/\"\"$F0F0F0-F;6%,&F/F0FIF0F=F0F0FI*&)F(,*F* F-F+\"#;F/FP\"\"'F0F0-F;6%FG,&F+F.F.F0F0F0F0*&)F(,*F*F-F+FWF/FP\"\"&F0 F0-F;6%FG,&F+F.FPF0F0F0F0*&)F(,(F*F-F/FP!\"$F0F0-F;6%FG,&F+F5FIF0F0F0F 0*&FNF0-F;6%FG,&F+F5F`oF0F0F0F0*&)F(,(F*F-F/FPFHF0F0-F;6%FSFcoF0F0F0*& )F(,(F*F-F/F,F+F5F0-F26%FG,&F+F5F0F0F0F0F0" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 23 "A21:= shiftdown(7,A20);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A21G,:*&)%\"qG,(*$%\"jG\"\"#\"\")F+\"\"%%\"nGF,\"\" \"-%#T1G6%,&F/F0!\"%F0,&F+F.F0F0F0F0F0*&)F(,*F*F-F+F-F.F0F/F0F0-%#T0G6 %F4,&F+F.F,F0F0F0F0*&)F(,(F*F-F,F0F/F0F0-F;6%F4,$F+F.F0F0F0*&F8F0-F;6% ,&F/F0!\"#F0F=F0F0!\"\"*&F?F0-F;6%FGFCF0F0FI*&)F(,*F*F-F+F-F/\"\"$F0F0 F0-F;6%,&F/F0FIF0F=F0F0FI*&)F(,(F*F-F/FPFHF0F0FKF0FI*&)F(,*F*F-F+\"#;F 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F>*&)F(,*F*F-F+\"#;F6F.F/F:F.-F16%FF,&F+F6F:F.F.F.F>*&F'F.-F16%FF,&F+F 6F>F.F.F.F>*&)F(,(F*F-F+F6F/F,F.-FD6%FFF5F.F.F>*&)F(,*F*F-!\"#F.F/F:F+ F-F.-F16%FF,&F+F6F.F.F.F.F>*&)F(,(F*F-F/F,F+F4F.-FD6%,&F/F.FfnF.,&F+F4 F.F.F.F.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A37:=sym(5,A3 6);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A37G,2*&)%\"qG,(*$%\"jG\"\"# \"\")F,\"\"\"%\"nGF.F.-%#T0G6%,&F/F.!\"%F.,$F+\"\"%F.F.F.*&)F(,(F*F-F4 F.F/\"\"$F.-F16%F3,$F+F4F.F.!\"\"*&)F(,*F*F-F+\"#7F/F,F6F.F.-%#T1G6%,& F/F.!\"$F.,&F+F6F,F.F.F.F>*&)F(,*F*F-F+\"#;F6F.F/F:F.-F16%FF,&F+F6F:F. F.F.F>*&F'F.-F16%FF,&F+F4F.F.F.F.F>*&)F(,(F*F-F+F6F/F,F.-FD6%FFF5F.F.F >*&)F(,*F*F-!\"#F.F/F:F+F-F.-F16%FF,&F+F6F.F.F.F.F>*&)F(,(F*F-F/F,F+F4 F.-FD6%,&F/F.FfnF.FSF.F.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "A38:=eT0(5,A37);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A38G,6*&)% \"qG,(*$%\"jG\"\"#\"\")F,\"\"\"%\"nGF.F.-%#T0G6%,&F/F.!\"%F.,$F+\"\"%F .F.F.*&)F(,(F*F-F4F.F/\"\"$F.-F16%F3,$F+F4F.F.!\"\"*&)F(,*F*F-F+\"#7F/ F,F6F.F.-%#T1G6%,&F/F.!\"$F.,&F+F6F,F.F.F.F>*&)F(,*F*F-F+\"#;F6F.F/F:F .-F16%FF,&F+F6F:F.F.F.F>*&F'F.F;F.F>*&)F(,(F*F-F/F,F+F4F.-FD6%F3,&F+F4 F.F.F.F.F>*&)F(,*F*F-!\"#F.F/F:F+!\")F.-F16%F3,&F+F4F,F.F.F.F>*&)F(,(F *F-F+F6F/F,F.-FD6%FFF5F.F.F>*&)F(,*F*F-FZF.F/F:F+F-F.-F16%FF,&F+F6F.F. F.F.F>*&FRF.-FD6%,&F/F.FZF.FVF.F.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "A39:= sym(5,A38);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6# >%$A39G,2*&)%\"qG,(*$%\"jG\"\"#\"\")!\"%\"\"\"%\"nG\"\"$F/-%#T0G6%,&F0 F/F.F/,$F+F.F/F/!\"\"*&)F(,*F*F-F+\"#7F0F,\"\"%F/F/-%#T1G6%,&F0F/!\"$F /,&F+F6%F5,&F+F.F/F/F/F/F7*&)F(,*F*F-!\"#F/F0F1F+!\")F/ -F36%F5,&F+F.F,F/F/F/F7*&)F(,(F*F-F+F6%F@,$F+F6%,&F0F/FSF/FOF/F/F/ " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 17 "A40:= eT1(8,A39);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A40G,6*&)%\"qG,(*$%\"jG\"\"#\"\")!\"%\"\"\"%\"nG\"\" $F/-%#T0G6%,&F0F/F.F/,$F+F.F/F/!\"\"*&)F(,*F*F-F+\"#7F0F,\"\"%F/F/-%#T 1G6%,&F0F/!\"$F/,&F+F6%F5,&F+F.F/F/F/F/F7*&)F(,*F*F-!\" #F/F0F1F+!\")F/-F36%F5,&F+F.F,F/F/F/F7*&)F(,(F*F-F+F6%F@,$F+ F6%F@F OF/F/F/*&)F(,*F*F-F0F1F+FTF7F/F/-F36%F@FWF/F/F/*&)F(,(F*F-F0F1FAF/F/-F 36%F@F6F/F/F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "A41:= eT1( 8,A40);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A41G,.*&)%\"qG,**$%\"jG \"\"#\"\")F+\"#7%\"nGF,\"\"%\"\"\"F1-%#T1G6%,&F/F1!\"$F1,&F+F0F,F1F1F1 !\"\"*&)F(,*F*F-F+\"#;F0F1F/\"\"$F1-%#T0G6%F5,&F+F0F=F1F1F1F8*&)F(,(F* F-F+F0F/F,F1-F36%F5,$F+F0F1F1F8*&)F(,*F*F-!\"#F1F/F=F+F-F1-F?6%F5,&F+F 0F1F1F1F1F8*&)F(,*F*F-F/F=F+!\")F8F1F1-F?6%F5,&F+!\"%F,F1F1F1F1*&)F(,( F*F-F/F=F6F1F1-F?6%F5,$F+FVF1F1F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "###############" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "A42:= shiftdown(1,A41);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A42G,.*&)%\"qG,(*$%\"jG\"\"#\"\")%\"nGF,F+!\"%\"\"\"-%#T1G6%, &F.F0!\"$F0,&F+\"\"%!\"#F0F0F0F0*&)F(,*F*F-F+\"#;F7F0F.\"\"$F0-%#T0G6% F4,&F+F7F=F0F0F0!\"\"*&)F(,(F*F-F+F7F.F,F0-F26%F4,$F+F7F0F0FB*&)F(,*F* F-F8F0F.F=F+F-F0-F?6%F4,&F+F7F0F0F0F0FB*&)F(,*F*F-F.F=F+!\")FBF0F0-F?6 %F4,&F+F/F,F0F0F0F0*&)F(,(F*F-F.F=F5F0F0-F?6%F4,$F+F/F0F0F0" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "A43:=e0(1,A42);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A43G,2*&)%\"qG,**$%\"jG\"\"#\"\")%\"nG\"\"$F +!\")!\"\"\"\"\"F2-%#T0G6%,&F.F2!\"$F2,&F+\"\"%!\"#F2F2F2F2*&)F(,(F*F- F.F,F+!\"%F2-%#T1G6%F6,&F+F9F1F2F2F2F2*&)F(,(F*F-F>F2F.F/F2-F4FAF2F1*& )F(,*F*F-F+\"#;F9F2F.F/F2-F46%F6,&F+F9F/F2F2F2F1*&)F(,(F*F-F+F9F.F,F2- F@6%F6,$F+F9F2F2F1*&)F(,*F*F-F:F2F.F/F+F-F2-F46%F6,&F+F9F2F2F2F2F1*&F' F2-F46%F6,&F+F>F,F2F2F2F2*&)F(,(F*F-F.F/F7F2F2-F46%F6,$F+F>F2F2F2" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "A44:= negate(2,A43);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A44G,2*&)%\"qG,**$%\"jG\"\"#\"\")% \"nG\"\"$F+!\")!\"\"\"\"\"F2-%#T0G6%,&F.F2!\"$F2,&F+\"\"%!\"#F2F2F2F2* &)F(,(F*F-F+F9F.F,F2-%#T1G6%F6,&F+!\"%F1F2F2F2F2*&)F(,(F*F-FBF2F.F/F2- F46%F6,&F+F9F1F2F2F2F1*&)F(,*F*F-F+\"#;F9F2F.F/F2-F46%F6,&F+F9F/F2F2F2 F1*&F " 0 "" {MPLTEXT 1 0 16 "A45:=sym(2,A44);" } }{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A45G,2*&)%\"qG,**$%\"jG\"\"#\"\")% \"nG\"\"$F+!\")!\"\"\"\"\"F2-%#T0G6%,&F.F2!\"$F2,&F+\"\"%!\"#F2F2F2F2* &)F(,(F*F-F+F9F.F,F2-%#T1G6%F6,&F+F9F2F2F2F2F2*&)F(,(F*F-!\"%F2F.F/F2- F46%F6,&F+F9F1F2F2F2F1*&)F(,*F*F-F+\"#;F9F2F.F/F2-F46%F6,&F+F9F/F2F2F2 F1*&F " 0 "" {MPLTEXT 1 0 16 "A46:= e0(5,A45);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A46G,.*&)%\"qG,**$%\"jG\"\"#\"\")%\"nG\" \"$F+!\")!\"\"\"\"\"F2-%#T0G6%,&F.F2!\"$F2,&F+\"\"%!\"#F2F2F2F2*&)F(,( F*F-!\"%F2F.F/F2-F46%F6,&F+F9F1F2F2F2F1*&)F(,*F*F-F+\"#;F9F2F.F/F2-F46 %F6,&F+F9F/F2F2F2F1*&)F(,(F*F-F.F/F7F2F2-F46%F6,$F+F9F2F2F1*&F'F2-F46% F6,&F+F>F,F2F2F2F2*&FJF2-F46%F6,$F+F>F2F2F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "A47:= sym(4,A46);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$A47G,**&)%\"qG,**$%\"jG\"\"#\"\")%\"nG\"\"$F+!\")!\"\"\"\"\"F2-% #T0G6%,&F.F2!\"$F2,&F+\"\"%!\"#F2F2F2F2*&)F(,(F*F-!\"%F2F.F/F2-F46%F6, &F+F9F1F2F2F2F1*&)F(,*F*F-F+\"#;F9F2F.F/F2-F46%F6,&F+F9F/F2F2F2F1*&F'F 2-F46%F6,&F+F>F,F2F2F2F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "A48:= shiftdown(3,A47);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A48G,&* &)%\"qG,**$%\"jG\"\"#\"\")%\"nG\"\"$F+!\")!\"\"\"\"\"F2-%#T0G6%,&F.F2! 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