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{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 
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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "######### 3.59" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 76 "op1:= annihiloper( q^(j^2+2*
j)/ qfac(q,q^2,j+1)/ 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)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 22 "###### Case 1: n = 2*m" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 259 "a1:= asoe(op1, q^(28*j^2 + 10*j)      * gp(2*n+2, n+7*j + 2, \+
1) \n             - q^(28*j^2 + 38*j + 12) * gp(2*n+2, n+7*j + 6, 1),
\n               q^(28*j^2 + 10*j)      * gp(2*n+3, n+7*j + 3, 1)\n   \+
          - q^(28*j^2 + 38*j + 12) * gp(2*n+3, n+7*j + 6, 1));" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a1G,6*&)%\"qG,(\"\"\"F**$%\"jG\"\"#
\"#GF,\"#5F*-%#gpG6%,&%\"mGF-F-F*,(F4F*F,\"\"(F-F*F*F*F**&-F16%F3,(F4F
*F,F6\"\"'F*F*F*)F(,(F+F.F,\"#Q\"#8F*F*!\"\"*&)F(,&F+F.F,F/F*-F16%,&F4
F-\"\"%F*,(F4F*\"\"$F*F,F6F*F*F@*&)F(,(F+F.F,F>\"#7F*F*-F16%FF,(F4F*F6
F*F,F6F*F*F**&F'F*-F16%,&F4F-FIF*FHF*F*F@*&-F16%FTF:F*F*F<F*F**&)F(,*F
4F-FGF*F+F.F,F/F*FRF*F@*&FVF*)F(,*F4F-\"#;F*F+F.F,F>F*F**&FBF*-F16%,&F
4F-\"\"&F*,(F4F*FGF*F,F6F*F*F**&FKF*-F16%F\\oFPF*F*F@" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a2:= eG1(5,a1);" }}{PARA 12 "" 1 "
" {XPPMATH 20 "6#>%#a2G,4*&-%#gpG6%,&%\"mG\"\"#F,\"\"\",(F+F-%\"jG\"\"
(\"\"'F-F-F-)%\"qG,(*$F/F,\"#GF/\"#Q\"#8F-F-!\"\"*&)F3,&F5F6F/\"#5F--F
(6%,&F+F,\"\"%F-,(F+F-\"\"$F-F/F0F-F-F9*&)F3,(F5F6F/F7\"#7F-F--F(6%F@,
(F+F-F0F-F/F0F-F-F-*&)F3,*FAF-F5F6F/\"#<F+F-F--F(6%F*FBF-F-F9*&-F(6%,&
F+F,FCF-F.F-F-F2F-F-*&)F3,*F+F,FAF-F5F6F/F=F--F(6%FTFBF-F-F9*&FRF-)F3,
*F+F,\"#;F-F5F6F/F7F-F-*&F;F--F(6%,&F+F,\"\"&F-,(F+F-FAF-F/F0F-F-F-*&F
EF--F(6%F[oFJF-F-F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a3:=
 eG0(5,a2);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a3G,2*&)%\"qG,&*$%\"
jG\"\"#\"#GF+\"#5\"\"\"-%#gpG6%,&%\"mGF,\"\"%F/,(F4F/\"\"$F/F+\"\"(F/F
/!\"\"*&)F(,(F*F-F+\"#Q\"#7F/F/-F16%F3,(F4F/F8F/F+F8F/F/F/*&)F(,*F5F/F
*F-F+\"#<F4F/F/-F16%,&F4F,F,F/F6F/F/F9*&)F(,*F*F-F+\"#JF.F/F4F/F/-F16%
FH,(F4F/F+F8\"\"&F/F/F/F/*&)F(,*F4F,F5F/F*F-F+F.F/-F16%,&F4F,F7F/F6F/F
/F9*&-F16%FV,(F4F/F+F8\"\"'F/F/F/)F(,*F4F,\"#;F/F*F-F+F=F/F/*&F'F/-F16
%,&F4F,FPF/,(F4F/F5F/F+F8F/F/F/*&F;F/-F16%F\\oFAF/F/F9" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a4:= eG1(7,a3);" }}{PARA 12 "" 1 "
" {XPPMATH 20 "6#>%#a4G,0*&)%\"qG,(*$%\"jG\"\"#\"#GF+\"#Q\"#7\"\"\"F0-
%#gpG6%,&%\"mGF,\"\"%F0,(F5F0\"\"(F0F+F8F0F0F0*&)F(,*F6F0F*F-F+\"#<F5F
0F0-F26%,&F5F,F,F0,(F5F0\"\"$F0F+F8F0F0!\"\"*&)F(,*F*F-F+\"#J\"#5F0F5F
0F0-F26%F?,(F5F0F+F8\"\"&F0F0F0F0*&)F(,*F5F,F6F0F*F-F+FGF0-F26%,&F5F,F
AF0F@F0F0FB*&-F26%FQ,(F5F0F+F8\"\"'F0F0F0)F(,*F5F,\"#;F0F*F-F+F.F0F0*&
F:F0-F26%F4,(F5F0F6F0F+F8F0F0F0*&F'F0-F26%,&F5F,FKF0F7F0F0FB" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a5:= eG0(7,a4);" }}{PARA 12 
"" 1 "" {XPPMATH 20 "6#>%#a5G,.*&)%\"qG,*\"\"%\"\"\"*$%\"jG\"\"#\"#GF-
\"#<%\"mGF+F+-%#gpG6%,&F1F.F.F+,(F1F+\"\"$F+F-\"\"(F+F+!\"\"*&)F(,*F,F
/F-\"#J\"#5F+F1F+F+-F36%F5,(F1F+F-F8\"\"&F+F+F+F+*&)F(,*F1F.F*F+F,F/F-
F>F+-F36%,&F1F.F7F+F6F+F+F9*&-F36%FH,(F1F+F-F8\"\"'F+F+F+)F(,*F1F.\"#;
F+F,F/F-\"#QF+F+*&F'F+-F36%,&F1F.F*F+,(F1F+F*F+F-F8F+F+F+*&F;F+-F36%FU
FLF+F+F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a6:= eG0(5,a5);
" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a6G,,*&)%\"qG,*\"\"%\"\"\"*$%\"
jG\"\"#\"#GF-\"#<%\"mGF+F+-%#gpG6%,&F1F.F.F+,(F1F+\"\"$F+F-\"\"(F+F+!
\"\"*&)F(,*F,F/F-\"#J\"#5F+F1F+F+-F36%F5,(F1F+F-F8\"\"&F+F+F+F+*&-F36%
,&F1F.F7F+,(F1F+F-F8\"\"'F+F+F+)F(,*F1F.\"#;F+F,F/F-\"#QF+F+*&F'F+-F36
%FF,(F1F+F*F+F-F8F+F+F+*&F;F+-F36%,&F1F.F*F+FGF+F+F9" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 15 "a7:= eG1(4,a6);" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#>%#a7G,**&)%\"qG,**$%\"jG\"\"#\"#GF+\"#J\"#5\"\"\"%\"mG
F0F0-%#gpG6%,&F1F,F,F0,(F1F0F+\"\"(\"\"&F0F0F0F0*&-F36%,&F1F,\"\"$F0,(
F1F0F+F7\"\"'F0F0F0)F(,*F1F,\"#;F0F*F-F+\"#QF0F0*&)F(,*\"\")F0F*F-F+\"
#CF1F,F0-F36%F5,(F1F0\"\"%F0F+F7F0F0F0*&F'F0-F36%,&F1F,FLF0F>F0F0!\"\"
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a8:= eG1(4,a7);" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#a8G,(*&)%\"qG,**$%\"jG\"\"#\"#GF+\"
#J\"#5\"\"\"%\"mGF0F0-%#gpG6%,&F1F,F,F0,(F1F0F+\"\"(\"\"&F0F0F0F0*&)F(
,*\"\")F0F*F-F+\"#CF1F,F0-F36%F5,(F1F0\"\"%F0F+F7F0F0F0*&F'F0-F36%,&F1
F,\"\"$F0F6F0F0!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a9:
= eG0(3,a8);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#a9G\"\"!" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 28 "########Case 2:  n = 2*m + 1" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 259 "b1:= asoo(op1, q^(28*j^2 + 10*j)      * gp(2*
n+2, n+7*j + 2, 1) \n             - q^(28*j^2 + 38*j + 12) * gp(2*n+2,
 n+7*j + 6, 1),\n               q^(28*j^2 + 10*j)      * gp(2*n+3, n+7
*j + 3, 1)\n             - q^(28*j^2 + 38*j + 12) * gp(2*n+3, n+7*j + \+
6, 1));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b1G,6*&)%\"qG,(\"\"\"F**
$%\"jG\"\"#\"#GF,\"#5F*-%#gpG6%,&%\"mGF-\"\"$F*,(F4F*F5F*F,\"\"(F*F*F*
*&-F16%F3,(F4F*F,F7\"\"'F*F*F*)F(,(F+F.F,\"#Q\"#8F*F*!\"\"*&)F(,&F+F.F
,F/F*-F16%,&F4F-\"\"&F*,(F4F*\"\"%F*F,F7F*F*FA*&)F(,(F+F.F,F?\"#7F*F*-
F16%FG,(F4F*F7F*F,F7F*F*F**&F'F*-F16%,&F4F-FJF*F6F*F*FA*&F=F*-F16%FUFQ
F*F*F**&)F(,*F4F-FHF*F+F.F,F/F*FSF*FA*&)F(,*F4F-\"#<F*F+F.F,F?F*FWF*F*
*&FCF*-F16%,&F4F-F<F*FIF*F*F**&FLF*-F16%F]o,(F4F*\"\")F*F,F7F*F*FA" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b2:= eG0(5,b1);" }}{PARA 
12 "" 1 "" {XPPMATH 20 "6#>%#b2G,4*&-%#gpG6%,&%\"mG\"\"#\"\"$\"\"\",(F
+F.%\"jG\"\"(\"\"'F.F.F.)%\"qG,(*$F0F,\"#GF0\"#Q\"#8F.F.!\"\"*&)F4,&F6
F7F0\"#5F.-F(6%,&F+F,\"\"&F.,(F+F.\"\"%F.F0F1F.F.F:*&)F4,(F6F7F0F8\"#7
F.F.-F(6%FA,(F+F.F1F.F0F1F.F.F.*&)F4,*F,F.F6F7F0F-F+F.F.-F(6%F*,(F+F.F
0F1F,F.F.F.F:*&F3F.-F(6%,&F+F,FDF.FKF.F.F.*&)F4,*F+F,FBF.F6F7F0F>F.-F(
6%FU,(F+F.F-F.F0F1F.F.F:*&)F4,*F+F,\"#<F.F6F7F0F8F.FSF.F.*&F<F.-F(6%,&
F+F,F2F.FCF.F.F.*&FFF.-F(6%F]o,(F+F.\"\")F.F0F1F.F.F:" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b3:= eG1(5,b2);" }}{PARA 12 "" 1 "
" {XPPMATH 20 "6#>%#b3G,2*&)%\"qG,&*$%\"jG\"\"#\"#GF+\"#5\"\"\"-%#gpG6
%,&%\"mGF,\"\"&F/,(F4F/\"\"%F/F+\"\"(F/F/!\"\"*&)F(,(F*F-F+\"#Q\"#7F/F
/-F16%F3,(F4F/F8F/F+F8F/F/F/*&)F(,*F,F/F*F-F+\"\"$F4F/F/-F16%,&F4F,FEF
/,(F4F/F+F8F,F/F/F/F9*&)F(,*F*F-F+\"#X\"#?F/F4F/F/-F16%FHFAF/F/F/*&)F(
,*F4F,F5F/F*F-F+F.F/-F16%,&F4F,F7F/,(F4F/FEF/F+F8F/F/F9*&)F(,*F4F,\"#<
F/F*F-F+F=F/-F16%FVFAF/F/F/*&F'F/-F16%,&F4F,\"\"'F/F6F/F/F/*&F;F/-F16%
F[o,(F4F/\"\")F/F+F8F/F/F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
15 "b4:= eG0(7,b3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b4G,0*&)%\"q
G,(*$%\"jG\"\"#\"#GF+\"#Q\"#7\"\"\"F0-%#gpG6%,&%\"mGF,\"\"&F0,(F5F0\"
\"(F0F+F8F0F0F0*&)F(,*F,F0F*F-F+\"\"$F5F0F0-F26%,&F5F,F<F0,(F5F0F+F8F,
F0F0F0!\"\"*&)F(,*F*F-F+\"#X\"#?F0F5F0F0-F26%F?F7F0F0F0*&)F(,*F5F,F6F0
F*F-F+\"#5F0-F26%,&F5F,\"\"%F0,(F5F0F<F0F+F8F0F0FA*&)F(,*F5F,\"#<F0F*F
-F+F.F0-F26%FOF7F0F0F0*&F:F0-F26%F4FQF0F0F0*&F'F0-F26%,&F5F,\"\"'F0,(F
5F0\"\")F0F+F8F0F0FA" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b5:
= eG1(7,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,F.F-\"#X\"#?F+F0F+F+-F26%F4,(F0F+F6F+F-F6F+F+F+*&)F
(,*F0F*\"\"&F+F,F.F-\"#5F+-F26%,&F0F*\"\"%F+,(F0F+F/F+F-F6F+F+F7*&)F(,
*F0F*\"#<F+F,F.F-\"#QF+-F26%FGF?F+F+F+*&F'F+-F26%,&F0F*FCF+FIF+F+F+*&F
9F+-F26%FT,(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,F.F-\"#X\"#?F+F0F+F+-F26%F4,(F0
F+F6F+F-F6F+F+F+*&)F(,*F0F*\"#<F+F,F.F-\"#QF+-F26%,&F0F*\"\"%F+F?F+F+F
+*&F'F+-F26%FGF5F+F+F+*&F9F+-F26%,&F0F*\"\"&F+,(F0F+\"\")F+F-F6F+F+F7
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b7:= eG0(4,b6);" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b7G,**&)%\"qG,**$%\"jG\"\"#\"#GF+\"
#X\"#?\"\"\"%\"mGF0F0-%#gpG6%,&F1F,\"\"$F0,(F1F0\"\"(F0F+F8F0F0F0*&)F(
,*F1F,\"#<F0F*F-F+\"#QF0-F36%,&F1F,\"\"%F0F7F0F0F0*&)F(,*FAF0F*F-F+!\"
%F1F,F0-F36%F5,(F1F0F+F8F0F0F0F0F0*&F'F0-F36%,&F1F,\"\"&F0,(F1F0\"\")F
0F+F8F0F0!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b8:= eG0(
4,b7);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#b8G,(*&)%\"qG,**$%\"jG\"
\"#\"#GF+\"#X\"#?\"\"\"%\"mGF0F0-%#gpG6%,&F1F,\"\"$F0,(F1F0\"\"(F0F+F8
F0F0F0*&)F(,*\"\"%F0F*F-F+!\"%F1F,F0-F36%F5,(F1F0F+F8F0F0F0F0F0*&F'F0-
F36%,&F1F,F<F0,(F1F0\"\")F0F+F8F0F0!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 15 "b9:= eG1(3,b8);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%
#b9G,&*&)%\"qG,*\"\"%\"\"\"*$%\"jG\"\"#\"#GF-!\"%%\"mGF.F+-%#gpG6%,&F1
F.\"\"$F+,(F1F+F-\"\"(F+F+F+F+F+*&)F(,*F,F/F-\"#_F/F+F1F.F+-F36%F5,(F1
F+\"\")F+F-F8F+F+!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "b
10:= shiftdown(2,b9);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$b10G\"\"!
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "1 0 0" 6 }
{VIEWOPTS 1 1 0 1 1 1803 }