{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 30 "####### 3.90, 3.91, \+ 3.92, 3.93" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "#### 93 minus a where a = 0,1,2,3. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 116 "op90:= annihiloper( q^ (j^2+3*j) * qfac(q^3,q^3,j) / qfac(q,q^2,j+1) / qfac(q^2,q^2,j+1) /spq fac(q,q,j), 0, forward);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%op90G,0 *$%\"NG\"\"&\"\"\"*$F'\"\"%!\"\"*&,()%\"qG,&\"\"(F)%\"nGF)F,F0F,*$F0\" \"#F,F)F'\"\"$F)*&,&F0F)F4F)F)F'F5F)*&F'F)F0F6F)*$F0F6F,F/F)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 116 "op91:= annihiloper( q^(j^2+ 2*j) * qfac(q^3,q^3,j) / qfac(q,q^2,j+1) / qfac(q^2,q^2,j+1) /spqfac(q ,q,j), 0, forward);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%op91G,0*$%\" NG\"\"&\"\"\"*$F'\"\"%!\"\"*&,(%\"qGF,*$F/\"\"#F,)F/,&%\"nGF)\"\"'F)F, F)F'\"\"$F)*&,&F/F)F0F)F)F'F1F)*&F'F)F/F6F)*$F/F6F,F2F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 112 "op92:= annihiloper( q^(j^2+j) * qf ac(q^3,q^3,j) / qfac(q,q^2,j+1) / qfac(q^2,q^2,j) /spqfac(q,q,j), 0, f orward);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%op92G,0*$%\"NG\"\"&\"\" \"*$F'\"\"%!\"\"*&,()%\"qG,&%\"nGF)F(F)F,F0F,*$F0\"\"#F,F)F'\"\"$F)*&, &F0F)F3F)F)F'F4F)*&F'F)F0F5F)*$F0F5F,F/F)" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 82 "op93:= N^5 - N^4 + (-q^(n+4) -q^2 -q)*N^3 + (q^2 + \+ q)*N^2 + q^3*N - q^3 + q^(n+4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%% op93G,0*$%\"NG\"\"&\"\"\"*$F'\"\"%!\"\"*&,()%\"qG,&%\"nGF)F+F)F,*$F0\" \"#F,F0F,F)F'\"\"$F)*&,&F3F)F0F)F)F'F4F)*&F'F)F0F5F)*$F0F5F,F/F)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 86 "op1:= N^5 - N^4 + (-q^(n+4+a ) - q^2 - q)*N^3 + (q^2 + q)*N^2 + q^3*N -q^3 + q^(n+4+a);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$op1G,0*$%\"NG\"\"&\"\"\"*$F'\"\"%!\"\"*&, ()%\"qG,(%\"nGF)F+F)%\"aGF)F,*$F0\"\"#F,F0F,F)F'\"\"$F)*&,&F4F)F0F)F)F 'F5F)*&F0F6F'F)F)*$F0F6F,F/F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 269 "###90:\n# q^(54*j^2 + 21*j) * gp(2*n+3, n + 9 *j + 3,1) \n# - q^(54*j^2 + 75*j + 24) * gp(2*n+3, n + 9*j \+ + 8,1),\n# q^(54*j^2 + 21*j ) * gp(2*n+4, n + 9*j + 4 ,1) \n# - q^(54*j^2 + 75*j + 24) * gp(2*n+4, n + 9*j + 8,1) " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 539 "###91:\n# \+ q^(54*j^2 + 15*j ) * gp(2*n+2, n + 9*j + 2,1) \n# - q^ (54*j^2 + 69*j + 21) * gp(2*n+2, n + 9*j + 7,1),\n# q^(54 *j^2 + 15*j) * gp(2*n+3, n + 9*j + 3,1) \n# - q^(54*j^ 2 + 69*j + 21) * gp(2*n+3, n + 9*j + 7,1)\n###92:\n# q^(5 4*j^2 + 9*j ) * gp(2*n+1, n + 9*j + 1,1) \n# - q^(54*j ^2 + 63*j + 18) * gp(2*n+1, n + 9*j + 6,1),\n# q^(54*j^2 \+ + 9*j ) * gp(2*n+2, n + 9*j + 2,1) \n# - q^(54*j^2 + 6 3*j + 18) * gp(2*n+2, n + 9*j + 6,1)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "###93:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 267 " # q^(54*j^2 + 3*j) * gp(2*n , n + 9*j, 1) \n# \+ - q^(54*j^2 + 57*j + 15) * gp(2*n , n + 9*j + 5, 1), \n# \+ q^(54*j^2 + 3*j) * gp(2*n+1, n + 9*j + 1, 1) \n# \+ - q^(54*j^2 + 57*j + 15) * gp(2*n+1, n + 9*j + 5, 1)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "### 94 minus a, a = 0,1,2,3: " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 327 "# q^(54*j ^2 + (3+6*a)*j ) * gp(2*n+a , n + 9*j + a , 1) \n# \+ - q^(54*j^2 + (57+6*a)*j +15+3*a) * gp(2*n+a , n + 9*j + a + 5, 1 ), \n# q^(54*j^2 + (3+6*a)*j ) * gp(2*n+a+1, n + \+ 9*j + a + 1, 1) \n# - q^(54*j^2 + (57+6*a)*j +15+3*a) * gp( 2*n+a+1, n + 9*j + a + 5, 1)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "######## n even = 2*m:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 333 "a1:= asoe(op1, q^(54*j^2 + (3+6*a)*j ) * gp(2*n+a , n + 9*j + a , 1) \n - q^(54*j^2 + (57+6*a)*j +15+3*a) * gp(2*n+a , n + 9*j + a + 5, 1), \n q^(54*j^2 + (3+6* a)*j ) * gp(2*n+a+1, n + 9*j + a + 1, 1) \n - q^(5 4*j^2 + (57+6*a)*j +15+3*a) * gp(2*n+a+1, n + 9*j + a + 5, 1));" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a1G,J*&-%#gpG6%,&%\"mG\"\"#%\"aG\" \"\",(F+F.%\"jG\"\"*F-F.F.F.)%\"qG,*\"\"$F.*$F0F,\"#aF0F5*&F0F.F-F.\" \"'F.!\"\"*&)F3,,\"#=F.F6F7F0\"#dF8F9F-F5F.-F(6%F*,*F+F.F0F1F-F.\"\"&F .F.F.F.*&F'F.)F3,.F+F,\"\"%F.F-F.F6F7F0F5F8F9F.F.*&)F3,.F+F,\"#>F.F-FG F6F7F0F?F8F9F.F@F.F:*&-F(6%,(F+F,F,F.F-F.,*F+F.F.F.F0F1F-F.F.F.)F3,*F, F.F6F7F0F5F8F9F.F.*&-F(6%FO,*F+F.F9F.F0F1F-F.F.F.)F3,,\"# " 0 "" {MPLTEXT 1 0 16 "a2:= eG1(11,a1);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a2G,H*&)%\" qG,,\"#=\"\"\"*$%\"jG\"\"#\"#aF-\"#d*&F-F+%\"aGF+\"\"'F2\"\"$F+-%#gpG6 %,&%\"mGF.F2F+,*F9F+F-\"\"*F2F+\"\"&F+F+F+F+*&-F66%F8,(F9F+F-F;F2F+F+F +)F(,.F9F.\"\"%F+F2F+F,F/F-F4F1F3F+F+*&)F(,.F9F.\"#>F+F2FCF,F/F-F0F1F3 F+F5F+!\"\"*&-F66%,(F9F.F.F+F2F+,*F9F+F+F+F-F;F2F+F+F+)F(,*F.F+F,F/F-F 4F1F3F+F+*&-F66%FL,*F9F+F3F+F-F;F2F+F+F+)F(,,\"# \+ " 0 "" {MPLTEXT 1 0 16 "a3:= eG0(11,a2);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a3G,F*&-%#gpG6%,&%\"mG\"\"#%\"aG\"\"\",(F+F.%\"jG\"\"*F-F.F.F .)%\"qG,.F+F,\"\"%F.F-F.*$F0F,\"#aF0\"\"$*&F0F.F-F.\"\"'F.F.*&)F3,.F+F ,\"#>F.F-F5F6F7F0\"#dF9F:F.-F(6%F*,*F+F.F0F1F-F.\"\"&F.F.F.!\"\"*&-F(6 %,(F+F,F,F.F-F.,*F+F.F.F.F0F1F-F.F.F.)F3,*F,F.F6F7F0F8F9F:F.F.*&-F(6%F H,*F+F.F:F.F0F1F-F.F.F.)F3,,\"# " 0 "" {MPLTEXT 1 0 16 "a4:= eG1(13,a3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a4G,D*&-%#gpG6%,&%\"mG\"\"#%\"aG\"\"\",(F +F.%\"jG\"\"*F-F.F.F.)%\"qG,.F+F,\"\"%F.F-F.*$F0F,\"#aF0\"\"$*&F0F.F-F .\"\"'F.F.*&)F3,.F+F,\"#>F.F-F5F6F7F0\"#dF9F:F.-F(6%F*,*F+F.F0F1F-F.\" \"&F.F.F.!\"\"*&-F(6%,(F+F,F,F.F-F.,*F+F.F:F.F0F1F-F.F.F.)F3,,\"# " 0 "" {MPLTEXT 1 0 16 "a5:= eG0(13,a4);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a5G,B*&-%#gpG6%,&%\"mG\"\"#%\"aG\"\"\",(F +F.%\"jG\"\"*F-F.F.F.)%\"qG,.F+F,\"\"%F.F-F.*$F0F,\"#aF0\"\"$*&F0F.F-F .\"\"'F.F.*&)F3,.F+F,\"#>F.F-F5F6F7F0\"#dF9F:F.-F(6%F*,*F+F.F0F1F-F.\" \"&F.F.F.!\"\"*&-F(6%,(F+F,F,F.F-F.,*F+F.F.F.F0F1F-F.F.F.)F3,*F.F.F6F7 F0F8F9F:F.F.*&-F(6%FH,*F+F.F:F.F0F1F-F.F.F.)F3,,F6F7F0F?F9F:\"#;F.F-F8 F.FD*&-F(6%,(F+F,F5F.F-F.,*F+F.F,F.F0F1F-F.F.F.)F3,(F6F7F0F8F9F:F.FD*& )F3,,F6F7F0F?F9F:\"#:F.F-F8F.-F(6%FV,*F+F.\"\"(F.F0F1F-F.F.F.F.*&)F3,. F5F.F6F7F0\"#7F9F:F+F.F-F.F.-F(6%F*FIF.F.F.*&)F3,.\"#9F.F6F7F0\"#[F9F: F-F8F+F.F.-F(6%F*,*F+F.F0F1F-F.F5F.F.F.FD*&-F(6%,(F+F,F8F.F-F.FWF.F.F2 F.FD*&F " 0 "" {MPLTEXT 1 0 15 "a6:=eG1(13,a5);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a6G,@*&- %#gpG6%,&%\"mG\"\"#%\"aG\"\"\",(F+F.%\"jG\"\"*F-F.F.F.)%\"qG,.F+F,\"\" %F.F-F.*$F0F,\"#aF0\"\"$*&F0F.F-F.\"\"'F.F.*&)F3,.F+F,\"#>F.F-F5F6F7F0 \"#dF9F:F.-F(6%F*,*F+F.F0F1F-F.\"\"&F.F.F.!\"\"*&-F(6%,(F+F,F,F.F-F.,* F+F.F:F.F0F1F-F.F.F.)F3,,F6F7F0F?F9F:\"#;F.F-F8F.FD*&-F(6%,(F+F,F5F.F- F.,*F+F.F,F.F0F1F-F.F.F.)F3,(F6F7F0F8F9F:F.FD*&)F3,,F6F7F0F?F9F:\"#:F. F-F8F.-F(6%FP,*F+F.\"\"(F.F0F1F-F.F.F.F.*&)F3,.F5F.F6F7F0\"#7F9F:F+F.F -F.F.-F(6%F*,*F+F.F.F.F0F1F-F.F.F.F.*&)F3,.\"#9F.F6F7F0\"#[F9F:F-F8F+F .F.-F(6%F*,*F+F.F0F1F-F.F5F.F.F.FD*&-F(6%,(F+F,F8F.F-F.FQF.F.F2F.FD*&F " 0 "" {MPLTEXT 1 0 9 "nops(a6);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# \"#:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a7:= eG1(8,a6);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a7G,B*&-%#gpG6%,&%\"mG\"\"#%\"aG\" \"\",(F+F.%\"jG\"\"*F-F.F.F.)%\"qG,.F+F,\"\"%F.F-F.*$F0F,\"#aF0\"\"$*& F0F.F-F.\"\"'F.F.*&)F3,.F+F,\"#>F.F-F5F6F7F0\"#dF9F:F.-F(6%F*,*F+F.F0F 1F-F.\"\"&F.F.F.!\"\"*&-F(6%,(F+F,F,F.F-F.,*F+F.F:F.F0F1F-F.F.F.)F3,,F 6F7F0F?F9F:\"#;F.F-F8F.FD*&-F(6%,(F+F,F5F.F-F.,*F+F.F,F.F0F1F-F.F.F.)F 3,(F6F7F0F8F9F:F.FD*&)F3,,F6F7F0F?F9F:\"#:F.F-F8F.-F(6%FP,*F+F.\"\"(F. F0F1F-F.F.F.F.*&)F3,.F5F.F6F7F0\"#7F9F:F+F.F-F.F.-F(6%F*,*F+F.F.F.F0F1 F-F.F.F.F.*&)F3,.\"#9F.F6F7F0\"#[F9F:F-F8F+F.F.-F(6%F*,*F+F.F0F1F-F.F5 F.F.F.FD*&F2F.-F(6%FHF\\oF.F.FD*&)F3,.F+F8F:F.F-F,F6F7F0FinF9F:F.-F(6% FHFQF.F.FD*&F " 0 "" {MPLTEXT 1 0 15 "a8:= eG1(8,a7);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a8G,D*&-%#gpG6%,&%\"mG\"\"#%\"aG\"\"\",(F+F. %\"jG\"\"*F-F.F.F.)%\"qG,.F+F,\"\"%F.F-F.*$F0F,\"#aF0\"\"$*&F0F.F-F.\" \"'F.F.*&)F3,.F+F,\"#>F.F-F5F6F7F0\"#dF9F:F.-F(6%F*,*F+F.F0F1F-F.\"\"& F.F.F.!\"\"*&-F(6%,(F+F,F,F.F-F.,*F+F.F:F.F0F1F-F.F.F.)F3,,F6F7F0F?F9F :\"#;F.F-F8F.FD*&-F(6%,(F+F,F5F.F-F.,*F+F.F,F.F0F1F-F.F.F.)F3,(F6F7F0F 8F9F:F.FD*&)F3,,F6F7F0F?F9F:\"#:F.F-F8F.-F(6%FP,*F+F.\"\"(F.F0F1F-F.F. F.F.*&)F3,.F5F.F6F7F0\"#7F9F:F+F.F-F.F.-F(6%F*,*F+F.F.F.F0F1F-F.F.F.F. *&)F3,.\"#9F.F6F7F0\"#[F9F:F-F8F+F.F.-F(6%F*,*F+F.F0F1F-F.F5F.F.F.FD*& F2F.-F(6%,(F+F,F-F.F.F.F/F.F.FD*&)F3,.F+F8FCF.F-F,F6F7F0FinF9F:F.-F(6% FhoF\\oF.F.FD*&)F3,.F+F8F:F.F-F,F6F7F0FinF9F:F.-F(6%FHFQF.F.FD*&F \+ " 0 "" {MPLTEXT 1 0 15 "a9:= eG0(8,a8);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a9G,B*&)%\"qG,.%\"mG\"\"#\"#>\"\"\"%\"aG\"\"%*$%\"jGF+\"#aF1 \"#d*&F1F-F.F-\"\"'F--%#gpG6%,&F*F+F.F-,*F*F-F1\"\"*F.F-\"\"&F-F-F-!\" \"*&-F76%,(F*F+F+F-F.F-,*F*F-F5F-F1F;F.F-F-F-)F(,,F0F2F1F3F4F5\"#;F-F. \"\"$F-F=*&-F76%,(F*F+F/F-F.F-,*F*F-F+F-F1F;F.F-F-F-)F(,(F0F2F1FFF4F5F -F=*&)F(,,F0F2F1F3F4F5\"#:F-F.FFF--F76%FJ,*F*F-\"\"(F-F1F;F.F-F-F-F-*& )F(,.F/F-F0F2F1\"#7F4F5F*F-F.F-F--F76%F9,*F*F-F-F-F1F;F.F-F-F-F-*&)F(, .\"#9F-F0F2F1\"#[F4F5F.FFF*F-F--F76%F9,*F*F-F1F;F.F-F/F-F-F-F=*&)F(,.F *FFF " 0 "" {MPLTEXT 1 0 10 "nops(a10);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#\"#:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "a10:= eG1(15,a9);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6# >%$a10G,@*&)%\"qG,.%\"mG\"\"#\"#>\"\"\"%\"aG\"\"%*$%\"jGF+\"#aF1\"#d*& F1F-F.F-\"\"'F--%#gpG6%,&F*F+F.F-,*F*F-F1\"\"*F.F-\"\"&F-F-F-!\"\"*&-F 76%,(F*F+F+F-F.F-,*F*F-F5F-F1F;F.F-F-F-)F(,,F0F2F1F3F4F5\"#;F-F.\"\"$F -F=*&)F(,,F0F2F1F3F4F5\"#:F-F.FFF--F76%,(F*F+F/F-F.F-,*F*F-\"\"(F-F1F; F.F-F-F-F-*&)F(,.F/F-F0F2F1\"#7F4F5F*F-F.F-F--F76%F9,*F*F-F-F-F1F;F.F- F-F-F-*&)F(,.\"#9F-F0F2F1\"#[F4F5F.FFF*F-F--F76%F9,*F*F-F1F;F.F-F/F-F- F-F=*&)F(,.F*FFF " 0 "" {MPLTEXT 1 0 18 "a11:= eG0(15,a10);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6 #>%$a11G,>*&)%\"qG,.%\"mG\"\"#\"#>\"\"\"%\"aG\"\"%*$%\"jGF+\"#aF1\"#d* &F1F-F.F-\"\"'F--%#gpG6%,&F*F+F.F-,*F*F-F1\"\"*F.F-\"\"&F-F-F-!\"\"*&- F76%,(F*F+F+F-F.F-,*F*F-F5F-F1F;F.F-F-F-)F(,,F0F2F1F3F4F5\"#;F-F.\"\"$ F-F=*&)F(,.F/F-F0F2F1\"#7F4F5F*F-F.F-F--F76%F9,*F*F-F-F-F1F;F.F-F-F-F- *&)F(,.\"#9F-F0F2F1\"#[F4F5F.FFF*F-F--F76%F9,*F*F-F1F;F.F-F/F-F-F-F=*& )F(,.F*FFF " 0 "" {MPLTEXT 1 0 10 "nops(a11);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "a 12:= eG1(8,a11);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a12G,@*&)%\"qG, .%\"mG\"\"#\"#>\"\"\"%\"aG\"\"%*$%\"jGF+\"#aF1\"#d*&F1F-F.F-\"\"'F--%# gpG6%,&F*F+F.F-,*F*F-F1\"\"*F.F-\"\"&F-F-F-!\"\"*&-F76%,(F*F+F+F-F.F-, *F*F-F5F-F1F;F.F-F-F-)F(,,F0F2F1F3F4F5\"#;F-F.\"\"$F-F=*&)F(,.F/F-F0F2 F1\"#7F4F5F*F-F.F-F--F76%F9,*F*F-F-F-F1F;F.F-F-F-F-*&)F(,.\"#9F-F0F2F1 \"#[F4F5F.FFF*F-F--F76%F9,*F*F-F1F;F.F-F/F-F-F-F=*&)F(,.F*FFF " 0 "" {MPLTEXT 1 0 16 "a13:=eG0(8 ,a12);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a13G,B*&)%\"qG,.%\"mG\"\" #\"#>\"\"\"%\"aG\"\"%*$%\"jGF+\"#aF1\"#d*&F1F-F.F-\"\"'F--%#gpG6%,&F*F +F.F-,*F*F-F1\"\"*F.F-\"\"&F-F-F-!\"\"*&-F76%,(F*F+F+F-F.F-,*F*F-F5F-F 1F;F.F-F-F-)F(,,F0F2F1F3F4F5\"#;F-F.\"\"$F-F=*&)F(,.F/F-F0F2F1\"#7F4F5 F*F-F.F-F--F76%F9,*F*F-F-F-F1F;F.F-F-F-F-*&)F(,.\"#9F-F0F2F1\"#[F4F5F. 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}}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a35G,**&)%\"q G,.%\"mG\"\"$\"\"&\"\"\"%\"aG\"\"#*$%\"jGF/\"#aF1\"#7*&F1F-F.F-\"\"'F- -%#gpG6%,(F*F/F.F-F-F-,*F*F-F-F-F1\"\"*F.F-F-F-!\"\"*&)F(,.F5F-F0F2F1 \"#@F4F5F*F/F.F/F--F76%,&F*F/F.F-,*F*F-F/F-F1F;F.F-F-F-F<*&)F(,.F*\"\" %F,F-F.F/F0F2F1F+F4F5F--F76%FC,(F*F-F1F;F.F-F-F-F-*&F>F--F76%F9FDF-F-F -" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "a36:= eG0(4,a35);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%$a36G,(*&)%\"qG,.%\"mG\"\"$\"\"&\"\" \"%\"aG\"\"#*$%\"jGF/\"#aF1\"#7*&F1F-F.F-\"\"'F--%#gpG6%,(F*F/F.F-F-F- ,*F*F-F-F-F1\"\"*F.F-F-F-!\"\"*&)F(,.F*\"\"%F,F-F.F/F0F2F1F+F4F5F--F76 %,&F*F/F.F-,(F*F-F1F;F.F-F-F-F-*&F'F--F76%FCF:F-F-F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "a37:= eG0(1,a36);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$a37G\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "############# n odd \+ = 2*m + 1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 333 "b1:= asoo(op1 , q^(54*j^2 + (3+6*a)*j ) * gp(2*n+a , n + 9*j + a , 1) \+ \n - q^(54*j^2 + (57+6*a)*j +15+3*a) * gp(2*n+a , n + 9* j + a + 5, 1), \n q^(54*j^2 + (3+6*a)*j ) * gp( 2*n+a+1, n + 9*j + a + 1, 1) \n - q^(54*j^2 + (57+6*a)*j \+ +15+3*a) * gp(2*n+a+1, n + 9*j + a + 5, 1));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b1G,J*&)%\"qG,*\"\"$\"\"\"*$%\"jG\"\"#\"#aF-F**&F-F+ %\"aGF+\"\"'F+-%#gpG6%,(%\"mGF.F1F+F+F+,*F7F+F+F+F-\"\"*F1F+F+F+!\"\"* &)F(,,\"#=F+F,F/F-\"#dF0F2F1F*F+-F46%F6,*F7F+F-F9F1F+\"\"&F+F+F+F+*&)F (,.F7F.FCF+F1F+F,F/F-F*F0F2F+F3F+F+*&)F(,.F7F.\"#?F+F1\"\"%F,F/F-F?F0F 2F+F@F+F:*&-F46%,(F7F.F*F+F1F+,*F7F+F.F+F-F9F1F+F+F+)F(,*F.F+F,F/F-F*F 0F2F+F+*&)F(,,\"# " 0 "" {MPLTEXT 1 0 16 "b2:= eG0(11,b1);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b2G,H*&)%\"qG,,\"#= \"\"\"*$%\"jG\"\"#\"#aF-\"#d*&F-F+%\"aGF+\"\"'F2\"\"$F+-%#gpG6%,(%\"mG F.F2F+F+F+,*F9F+F-\"\"*F2F+\"\"&F+F+F+F+*&)F(,.F9F.FF+FH*&FDF+-F66%FepFboF+F+F+*&Fc pF+FNF+FH*&FQF+FgpF+F+*&FcpF+FXF+FH*&FenF+FgpF+F+*&-F66%,(F9F.F3F+F2F+ F\\oF+F+F]oF+F+*&-F66%F`q,*F9F+\"\")F+F-F;F2F+F+F+FdoF+FH" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "b3:= eG0(18,b2);" }}{PARA 12 "" 1 " " {XPPMATH 20 "6#>%#b3G,F*&)%\"qG,,\"#=\"\"\"*$%\"jG\"\"#\"#aF-\"#d*&F -F+%\"aGF+\"\"'F2\"\"$F+-%#gpG6%,(%\"mGF.F2F+F+F+,*F9F+F-\"\"*F2F+\"\" &F+F+F+F+*&)F(,.F9F.FF+FH*&FDF+-F66%F_pF\\oF+F+F+*&F]pF+FNF+FH*&FQ F+FapF+F+*&F]pF+FXF+FH*&FenF+FapF+F+*&)F(,,F,F/F-FdoF1F3F9F+F4F+F+-F66 %F[oFMF+F+F+*&-F66%,(F9F.F3F+F2F+,*F9F+\"\")F+F-F;F2F+F+F+F^oF+FH" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b4:=eG1(14,b3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b4G,D*&)%\"qG,,\"#=\"\"\"*$%\"jG\"\"#\"#aF- \"#d*&F-F+%\"aGF+\"\"'F2\"\"$F+-%#gpG6%,(%\"mGF.F2F+F+F+,*F9F+F-\"\"*F 2F+\"\"&F+F+F+F+*&)F(,.F9F.FF+FH* &FDF+-F66%F[pFhnF+F+F+*&FioF+FNF+FH*&)F(,.\"#CF+F,F/F-\"#mF1F3F2FGF9F+ F+-F66%FLFhnF+F+F+*&FioF+FQF+FH*&FTF+F]pF+F+*&)F(,,F,F/F-F`oF1F3F9F+F4 F+F+-F66%FgnFMF+F+F+*&-F66%,(F9F.F3F+F2F+,*F9F+\"\")F+F-F;F2F+F+F+FjnF +FH" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "b5:= eG0(12,b4);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b5G,B*&)%\"qG,,\"#=\"\"\"*$%\"jG\" \"#\"#aF-\"#d*&F-F+%\"aGF+\"\"'F2\"\"$F+-%#gpG6%,(%\"mGF.F2F+F+F+,*F9F +F-\"\"*F2F+\"\"&F+F+F+F+*&)F(,.F9F.FF+FH*&FDF+-F66%FhoFenF+F+F+ *&F[oF+-F66%FLFBF+F+FH*&)F(,.\"#CF+F,F/F-\"#mF1F3F2FGF9F+F+-F66%FLFenF +F+F+*&FfoF+FNF+FH*&FQF+FjoF+F+*&)F(,,F,F/F-F]oF1F3F9F+F4F+F+-F66%FZFM F+F+F+*&-F66%,(F9F.F3F+F2F+,*F9F+\"\")F+F-F;F2F+F+F+FgnF+FH" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "b6:= eG0(13,b5);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b6G,@*&)%\"qG,,\"#=\"\"\"*$%\"jG\"\"#\"#a F-\"#d*&F-F+%\"aGF+\"\"'F2\"\"$F+-%#gpG6%,(%\"mGF.F2F+F+F+,*F9F+F-\"\" *F2F+\"\"&F+F+F+F+*&)F(,.F9F.FF+FH *&FDF+-F66%FboFUF+F+F+*&FenF+-F66%FOFBF+F+FH*&)F(,.\"#CF+F,F/F-\"#mF1F 3F2FGF9F+F+-F66%FOFUF+F+F+*&)F(,,F,F/F-FgnF1F3F9F+F4F+F+FhoF+FH*&FJF+F eoF+F+*&FbpF+-F66%FTFcoF+F+F+*&-F66%,(F9F.F3F+F2F+,*F9F+\"\")F+F-F;F2F +F+F+FWF+FH" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b7:= eG1(9,b 6);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b7G,B*&)%\"qG,,\"#=\"\"\"*$% \"jG\"\"#\"#aF-\"#d*&F-F+%\"aGF+\"\"'F2\"\"$F+-%#gpG6%,(%\"mGF.F2F+F+F +,*F9F+F-\"\"*F2F+\"\"&F+F+F+F+*&)F(,.F9F.FF+FH*&FDF+FMF+F+*&)F(,.F9F4\"#FF+F2F " 0 "" {MPLTEXT 1 0 15 "b8:= eG1(9,b7);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b8G,D*&)%\"qG,,\"#=\"\"\"*$%\"jG\"\"#\"#a F-\"#d*&F-F+%\"aGF+\"\"'F2\"\"$F+-%#gpG6%,(%\"mGF.F2F+F+F+,*F9F+F-\"\" *F2F+\"\"&F+F+F+F+*&)F(,.F9F.FF+FH *&FDF+-F66%F^oF:F+F+F+*&)F(,.F9F4\"#EF+F2F " 0 "" {MPLTEXT 1 0 15 "b9:= eG0(9,b8);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>% #b9G,B*&)%\"qG,,\"#=\"\"\"*$%\"jG\"\"#\"#aF-\"#d*&F-F+%\"aGF+\"\"'F2\" \"$F+-%#gpG6%,(%\"mGF.F2F+F+F+,*F9F+F-\"\"*F2F+\"\"&F+F+F+F+*&)F(,.F9F .FF+F K*&)F(,.F9F4\"# " 0 "" {MPLTEXT 1 0 17 "b10:= eG1( 10,b9);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b10G,D*&)%\"qG,,\"#=\"\" \"*$%\"jG\"\"#\"#aF-\"#d*&F-F+%\"aGF+\"\"'F2\"\"$F+-%#gpG6%,(%\"mGF.F2 F+F+F+,*F9F+F-\"\"*F2F+\"\"&F+F+F+F+*&)F(,.F9F.FF+FK*&)F(,.F9F4\"# " 0 " " {MPLTEXT 1 0 17 "b11:= eG1(6,b10);" }}{PARA 12 "" 1 "" {XPPMATH 20 " 6#>%$b11G,B*&)%\"qG,.%\"mG\"\"#\"\"&\"\"\"%\"aGF-*$%\"jGF+\"#aF0\"\"$* &F0F-F.F-\"\"'F--%#gpG6%,(F*F+F.F-F-F-,*F*F-F-F-F0\"\"*F.F-F-F-F-*&)F( ,,F/F1F0\"#dF3F4\"#;F-F.F2F--F66%,(F*F+F2F-F.F-,*F*F-F4F-F0F:F.F-F-F-! \"\"*&-F66%,(F*F+F,F-F.F-,*F*F-\"\"(F-F0F:F.F-F-F-)F(,,F/F1F0F>F3F4\"# :F-F.F2F-F-*&)F(,,\"\"%F-F/F1F0!\"'F3F4F*F-F--F66%F8,(F*F-F0F:F.F-F-F- F-*&)F(,.\"#CF-F/F1F0\"#mF3F4F.FQF*F-F--F66%F8FCF-F-FD*&-F66%,(F*F+FQF -F.F-,*F*F-F+F-F0F:F.F-F-F-F'F-FD*&)F(,.F*F2\"# " 0 "" {MPLTEXT 1 0 18 "b12:= eG1( 14,b11);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b12G,@*&)%\"qG,.%\"mG\" \"#\"\"&\"\"\"%\"aGF-*$%\"jGF+\"#aF0\"\"$*&F0F-F.F-\"\"'F--%#gpG6%,(F* F+F.F-F-F-,*F*F-F-F-F0\"\"*F.F-F-F-F-*&-F66%,(F*F+F,F-F.F-,*F*F-\"\"(F -F0F:F.F-F-F-)F(,,F/F1F0\"#dF3F4\"#:F-F.F2F-F-*&)F(,,\"\"%F-F/F1F0!\"' F3F4F*F-F--F66%F8,(F*F-F0F:F.F-F-F-F-*&)F(,.\"#CF-F/F1F0\"#mF3F4F.FHF* F-F--F66%F8,*F*F-F4F-F0F:F.F-F-F-!\"\"*&-F66%,(F*F+FHF-F.F-,*F*F-F+F-F 0F:F.F-F-F-F'F-FU*&)F(,.F*F2\"#FZF-F-F-*&-F66%,(F*F+F4F-F.F-,* F*F-\"\")F-F0F:F.F-F-F-FAF-FU" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "b13:= eG1(5,b12);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b13G,B*& )%\"qG,.%\"mG\"\"#\"\"&\"\"\"%\"aGF-*$%\"jGF+\"#aF0\"\"$*&F0F-F.F-\"\" 'F--%#gpG6%,(F*F+F.F-F-F-,*F*F-F-F-F0\"\"*F.F-F-F-F-*&-F66%,(F*F+F,F-F .F-,*F*F-\"\"(F-F0F:F.F-F-F-)F(,,F/F1F0\"#dF3F4\"#:F-F.F2F-F-*&)F(,,\" \"%F-F/F1F0!\"'F3F4F*F-F--F66%F8,(F*F-F0F:F.F-F-F-F-*&)F(,.\"#CF-F/F1F 0\"#mF3F4F.FHF*F-F--F66%F8,*F*F-F4F-F0F:F.F-F-F-!\"\"*&F'F--F66%,(F*F+ F2F-F.F-F9F-F-FU*&)F(,.F*F2F@F-F.F+F/F1F0\"#7F3F4F--F66%FY,*F*F-F+F-F0 F:F.F-F-F-FU*&)F(,.F*F2\"#FjnF-F-F-*&-F66%,(F*F+F4F-F.F-,*F*F-\"\")F-F0F:F.F-F-F-FAF- FU" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "b14:= eG0(5,b13);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b14G,D*&)%\"qG,.%\"mG\"\"#\"\"&\"\" \"%\"aGF-*$%\"jGF+\"#aF0\"\"$*&F0F-F.F-\"\"'F--%#gpG6%,(F*F+F.F-F-F-,* F*F-F-F-F0\"\"*F.F-F-F-F-*&-F66%,(F*F+F,F-F.F-,*F*F-\"\"(F-F0F:F.F-F-F -)F(,,F/F1F0\"#dF3F4\"#:F-F.F2F-F-*&)F(,,\"\"%F-F/F1F0!\"'F3F4F*F-F--F 66%F8,(F*F-F0F:F.F-F-F-F-*&)F(,.\"#CF-F/F1F0\"#mF3F4F.FHF*F-F--F66%F8, *F*F-F4F-F0F:F.F-F-F-!\"\"*&F'F--F66%,(F*F+F+F-F.F-F9F-F-FU*&)F(,.F*F2 F@F-F.F-F/F1F0FIF3F4F--F66%FYFLF-F-FU*&)F(,.F*F2F@F-F.F+F/F1F0\"#7F3F4 F--F66%,(F*F+F2F-F.F-,*F*F-F+F-F0F:F.F-F-F-FU*&)F(,.F*F2\"#F`oF-F-F-*&-F66%,(F*F+F4F-F .F-,*F*F-\"\")F-F0F:F.F-F-F-FAF-FU" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "b15:= eG0(5,b14);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6# >%$b15G,B*&-%#gpG6%,(%\"mG\"\"#\"\"&\"\"\"%\"aGF.,*F+F.\"\"(F.%\"jG\" \"*F/F.F.F.)%\"qG,,*$F2F,\"#aF2\"#d*&F2F.F/F.\"\"'\"#:F.F/\"\"$F.F.*&) F5,,\"\"%F.F7F8F2!\"'F:F;F+F.F.-F(6%,(F+F,F/F.F.F.,(F+F.F2F3F/F.F.F.F. *&)F5,.\"#CF.F7F8F2\"#mF:F;F/FAF+F.F.-F(6%FE,*F+F.F;F.F2F3F/F.F.F.!\" \"*&)F5,.F+F=F;F.F/F.F7F8F2FBF:F;F.FCF.FO*&)F5,.F+F=F1F.F/F.F7F8F2FBF: F;F.-F(6%,(F+F,F,F.F/F.FFF.F.FO*&)F5,.F+F=F1F.F/F,F7F8F2\"#7F:F;F.-F(6 %,(F+F,F=F.F/F.,*F+F.F,F.F2F3F/F.F.F.FO*&)F5,.F+F=\"# " 0 "" {MPLTEXT 1 0 10 "nops(b16);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\" #:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "b16:= eG1(16,b15);" } }{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b16G,@*&)%\"qG,,\"\"%\"\"\"*$%\"jG \"\"#\"#aF-!\"'*&F-F+%\"aGF+\"\"'%\"mGF+F+-%#gpG6%,(F4F.F2F+F+F+,(F4F+ F-\"\"*F2F+F+F+F+*&)F(,.\"#CF+F,F/F-\"#mF1F3F2F*F4F+F+-F66%F8,*F4F+F3F +F-F:F2F+F+F+!\"\"*&)F(,.F4\"\"$F3F+F2F+F,F/F-F0F1F3F+F5F+FC*&)F(,.F4F G\"\"(F+F2F+F,F/F-F0F1F3F+-F66%,(F4F.F.F+F2F+F9F+F+FC*&)F(,.F4FGFKF+F2 F.F,F/F-\"#7F1F3F+-F66%,(F4F.FGF+F2F+,*F4F+F.F+F-F:F2F+F+F+FC*&)F(,.F4 FG\"# " 0 "" {MPLTEXT 1 0 18 "b17:= \+ eG1(15,b16);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b17G,B*&)%\"qG,,\" \"%\"\"\"*$%\"jG\"\"#\"#aF-!\"'*&F-F+%\"aGF+\"\"'%\"mGF+F+-%#gpG6%,(F4 F.F2F+F+F+,(F4F+F-\"\"*F2F+F+F+F+*&)F(,.\"#CF+F,F/F-\"#mF1F3F2F*F4F+F+ -F66%F8,*F4F+F3F+F-F:F2F+F+F+!\"\"*&)F(,.F4\"\"$F3F+F2F+F,F/F-F0F1F3F+ F5F+FC*&)F(,.F4FG\"\"(F+F2F+F,F/F-F0F1F3F+-F66%,(F4F.F.F+F2F+F9F+F+FC* &)F(,.F4FGFKF+F2F.F,F/F-\"#7F1F3F+-F66%,(F4F.FGF+F2F+,*F4F+F.F+F-F:F2F +F+F+FC*&)F(,.F4FG\"# " 0 "" {MPLTEXT 1 0 18 "b18:= eG0(15,b17);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b18G,@* &)%\"qG,,\"\"%\"\"\"*$%\"jG\"\"#\"#aF-!\"'*&F-F+%\"aGF+\"\"'%\"mGF+F+- %#gpG6%,(F4F.F2F+F+F+,(F4F+F-\"\"*F2F+F+F+F+*&)F(,.\"#CF+F,F/F-\"#mF1F 3F2F*F4F+F+-F66%F8,*F4F+F3F+F-F:F2F+F+F+!\"\"*&)F(,.F4\"\"$F3F+F2F+F,F /F-F0F1F3F+F5F+FC*&)F(,.F4FG\"\"(F+F2F+F,F/F-F0F1F3F+-F66%,(F4F.F.F+F2 F+F9F+F+FC*&)F(,.F4FGFKF+F2F.F,F/F-\"#7F1F3F+-F66%,(F4F.FGF+F2F+,*F4F+ F.F+F-F:F2F+F+F+FC*&)F(,.F4FG\"# " 0 "" {MPLTEXT 1 0 18 "b19:= eG1(13,b18);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$b19G,B*&) %\"qG,,\"\"%\"\"\"*$%\"jG\"\"#\"#aF-!\"'*&F-F+%\"aGF+\"\"'%\"mGF+F+-%# gpG6%,(F4F.F2F+F+F+,(F4F+F-\"\"*F2F+F+F+F+*&)F(,.\"#CF+F,F/F-\"#mF1F3F 2F*F4F+F+-F66%F8,*F4F+F3F+F-F:F2F+F+F+!\"\"*&)F(,.F4\"\"$F3F+F2F+F,F/F -F0F1F3F+F5F+FC*&)F(,.F4FG\"\"(F+F2F+F,F/F-F0F1F3F+-F66%,(F4F.F.F+F2F+ 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