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"restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "read `funddoma
in/funddomain1.maple`;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%,matskalmu
ltGf*6$%\"lG%\"AG6#%\"CG6\"F+C$>8$-%$mapG6%f*6$%\"xG%\"yGF+6$%)operato
rG%&arrowGF+*&9$\"\"\"9%F;F+F+F+-%'MatrixG6#F<F:-%(convertG6$F.%)listl
istGF+F+F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'mataddGf*6$%\"AG%\"BG
6#%\"CG6\"F+C$>8$-_%.LinearAlgebraG%$AddG6$-%'MatrixG6#9$-F56#9%-%(con
vertG6$F.%)listlistGF+F+F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(matmu
ltGf*6$%\"AG%\"BG6#%\"CG6\"F+C$>8$-_%.LinearAlgebraG%)MultiplyG6$-%'Ma
trixG6#9$-F56#9%-%(convertG6$F.%)listlistGF+F+F+" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%'matinvGf*6#%\"AG6#%\"CG6\"F*C$>8$-_%.LinearAlgebraG%
.MatrixInverseG6#-%'MatrixG6#9$-%(convertG6$F-%)listlistGF*F*F*" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'matdetGf*6#%\"AG6#%\"CG6\"F*>8$-%%e
valG6#-%$DetG6#-%'MatrixG6#9$F*F*F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#>%,matinnerAutGf*6$%\"AG%\"BG6\"F)F)-%(matmultG6$9$-F+6$9%-%'matinvG6
#F-F)F)F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&setNNGf*6#%#nnG6\"F(F(
C$>%#NNG9$>%&remsNG7#-%$seqG6$%\"iG/F3;\"\"!,&F+\"\"\"F8!\"\"F(6$F+F.F
(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7)\"\"!\"\"\"\"\"#\"\"$\"\"%\"\"&
\"\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%*mskalmultGf*6$%\"lG%\"AG6#
%\"CG6\"F+C%>8$-%$mapG6%f*6$%\"xG%\"yGF+6$%)operatorG%&arrowGF+*&9$\"
\"\"9%F;F+F+F+-%'MatrixG6#F<F:>F.-%(convertG6$F.%)listlistG-%%mmodG6#F
.F+F+F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%maddGf*6$%\"AG%\"BG6#%\"
CG6\"F+C%>8$-_%.LinearAlgebraG%$AddG6$-%'MatrixG6#9$-F56#9%>F.-%(conve
rtG6$F.%)listlistG-%%mmodG6#F.F+F+F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#>%&mmultGf*6$%\"AG%\"BG6#%\"CG6\"F+C%>8$-_%.LinearAlgebraG%)Multiply
G6$-%'MatrixG6#9$-F56#9%>F.-%(convertG6$F.%)listlistG-%%mmodG6#F.F+F+F
+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%minvGf*6#%\"AG6#%\"CG6\"F*C%>8
$-%$modG6$-%(InverseG6#-%'MatrixG6#9$%#NNG>F--%(convertG6$F-%)listlist
G-%%mmodG6#F-F*F*F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%mdetGf*6#%\"
AG6#%\"CG6\"F*C%>8$-%$modG6$-%$DetG6#-%'MatrixG6#9$%#NNG-%'RETURNG6#F-
-%%mmodGF;F*F*F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%*minnerAutGf*6$%
\"AG%\"BG6\"F)F)-%&mmultG6$9$-F+6$9%-%%minvG6#F-F)F)F)" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%%mmodGf*6#%\"AG6#%\"CG6\"F*C$>8$-%'MatrixG6#9$-%
(convertG6$-_%.LinearAlgebraG%$MapG6%%$modGF-%#NNG%)listlistGF*F*F*" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%*matiszeroGf*6#%\"AG6$%\"qG%#A1G6\"
F+C&>8$%&falseG>8%-%'MatrixG6#9$-%$mapG6$f*6#%\"xGF+F+F+@$0F5\"\"!>T#%
%trueGF+F+6$F)F.F14F.F+F+F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&Idma
tG7$7$\"\"\"\"\"!7$F(F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%*matsubse
tGf*6$%%lis1G%%lis2G6#%$lisG6\"F+C&-%'RETURNG6#-%'subsetG6$<#-%#opG6#9
$<#-F56#9%>8$7#F4>F=-%$mapG6%%*matmemberGF=F;-%(convertG6$F=%$andGF+F+
F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%,matlisequalGf*6$%%lis1G%%lis2
G6\"F)F)3-%*matsubsetG6$9$9%-F,6$F/F.F)F)F)" }}{PARA 7 "" 1 "" {TEXT 
-1 70 "Warning, `lis1` is implicitly declared local to procedure `matm
ember`\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%*matmemberGf*6$%\"AG%$li
sG6#%%lis1G6\"F+C&-%'RETURNG6#-%*matsubsetG6$<#9$9%>8$7#-%#opG6#F5>F7-
%$mapG6%f*6$%#xxG%#yyGF+6$%)operatorG%&arrowGF+-%*matiszeroG6#-%'matad
dG6$-%,matskalmultG6$!\"\"F4F5F+F+F+F7F4-%(convertG6$F7%#orGF+F+F+" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#>%)matunionGf*6$%%lis1G%%lis2G6\"F)F)C
&-%'RETURNG6#-%&unionG6$<#-%#opG6#9$<#-F36#9%@$/-%%nopsGF4\"\"!-F,F8@$
/F<\"\"\"C$@$4-%*matmemberG6$&F56#FBF9-F,6#7$F2F7F?-F$6$7#FI-F$6$&F56#
;\"\"#!\"\"F9F)F)F)" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%,gensToGroupG
f*6$%'genlisG%%operG6'%)frontierG%$resG%#ffG%#gxG%&newelG6\"F/C&>8$9$>
8%<#-%#opG6#F3?(F/\"\"\"F;F/2\"\"!-%%nopsG6#F2C&>8&&F26#F;>F2&F26#;\"
\"#!\"\"-%&printG6$Q1nops~frontier~=~F/F>?&8'F3%%trueGC&>8(-9%6$FQFC@$
-%*matmemberG6$FUF5\\>F5-%&unionG6$F5<#FU@$4-Fen6$FUF2>F27$-F8F@FU7#-F
86#F5F/F/F/" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%/generateHTildeGf*6#%
\"NG6-%%remsG%)remssqrdG%#lsG%\"lG%%lis1G%%lis2G%\"aG%\"bG%#m1G%#m2G%$
lisG6\"F4C,>8$<#-%#opG6#%&remsNG>8%-%$mapG6$f*6#%\"xGF46$%)operatorG%&
arrowGF4-%$modG6$*$)9$\"\"#\"\"\"T$F4F46$F'FMF7>8&-%&minusG6$F7F>@$/-%
%nopsG6#FS\"\"!-%&ERRORG6#QQgenerateHTilde::~Could~not~find~non~square
~mod~NF4>8'&FS6#FO>8(<\">8)Fao?&8*F<%%trueG?&8+F<FfoC(>8,-%'MatrixG6#7
$7$Feo*&FhoFOF\\oFO7$FhoFeo>F[p-%%mmodG6#F[p@$0-%%mdetGFfpFfn>F`o-%)ma
tunionG6$<#F[pF`o>8--F]p6#7$F`p7$,$Fho!\"\",$FeoFgq>Faq-Fep6#Faq@$0-Fj
pF[rFfn>Fco-F]q6$<#FaqFco>8.-F]q6$F`oFco7#-F:6#FdrF4F4F4" }}{PARA 7 "
" 1 "" {TEXT -1 76 "Warning, `res` is implicitly declared local to pro
cedure `generateSl2ZmodN`\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%1gene
rateSl2ZmodNGf*6\"6(%\"aG%\"bG%\"cG%\"dG%\"mG%$resGF&F&C%>8)7\"?&8$%&r
emsNG%%trueG?&8%F4F5?&8&F4F5?&8'F4F5C$>8(-%'MatrixG6#7$7$F3F77$F9F;@$/
-%%mdetG6#F>\"\"\">F07$-%#opG6#F0F>F0F&F&F&" }}{PARA 7 "" 1 "" {TEXT 
-1 76 "Warning, `res` is implicitly declared local to procedure `gener
ateGl2ZmodN`\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%1generateGl2ZmodNG
f*6\"6(%\"aG%\"bG%\"cG%\"dG%\"mG%$resGF&F&C%>8)7\"?&8$%&remsNG%%trueG?
&8%F4F5?&8&F4F5?&8'F4F5C$>8(-%'MatrixG6#7$7$F3F77$F9F;@$0-%%mdetG6#F>
\"\"!>F07$-%#opG6#F0F>F0F&F&F&" }}{PARA 7 "" 1 "" {TEXT -1 74 "Warning
, `res` is implicitly declared local to procedure `findInnerAutom`\n" 
}}{PARA 7 "" 1 "" {TEXT -1 72 "Warning, `x` is implicitly declared loc
al to procedure `findInnerAutom`\n" }}{PARA 7 "" 1 "" {TEXT -1 77 "War
ning, `tstlis` is implicitly declared local to procedure `findInnerAut
om`\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%/findInnerAutomGf*6%%*group
els1G%*groupels2G%)candlistG6%%$resG%\"xG%'tstlisG6\"F.C%>8$7\"?&8%9&%
%trueGC$>8&-%$mapG6%f*6$%#yyG%#xxGF.6$%)operatorG%&arrowGF.-%*minnerAu
tG6$9%9$F.F.F.FHF4@$-%,matlisequalG6$F9FGC%>F17$-%#opG6#F1F4-%&printG6
$Q+x~found~=~F.F4[F1F.F.F." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"SG7$
7$\"\"!!\"\"7$\"\"\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"TG7$7$\"
\"\"F'7$\"\"!F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#T1G7$7$\"\"\"!\"
\"7$\"\"!F'" }}{PARA 7 "" 1 "" {TEXT -1 78 "Warning, `res` is implicit
ly declared local to procedure `generateFundDomain`\n" }}{PARA 7 "" 1 
"" {TEXT -1 78 "Warning, `pel` is implicitly declared local to procedu
re `generateFundDomain`\n" }}{PARA 7 "" 1 "" {TEXT -1 79 "Warning, `jl
is` is implicitly declared local to procedure `generateFundDomain`\n" 
}}{PARA 7 "" 1 "" {TEXT -1 79 "Warning, `jpos` is implicitly declared \+
local to procedure `generateFundDomain`\n" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#>%3generateFundDomainGf*6#%*quotGroupG6,%(patchesG%)fro
ntierG%#ffG%#mmG%'tstlisG%&newelG%$resG%$pelG%%jlisG%%jposG6\"F3C(>8$7
#%&IdmatG>8%F6?(F3\"\"\"F<F32\"\"!-%%nopsG6#F:C&>8&&F:6#F<>F:&F:6#;\"
\"#!\"\"-%&printG6$Q3~nops(frontier)~=~F3F??&8'7%%\"TG%#T1G%\"SG%%true
GC(>8)-%(matmultG6$FDFR>8(-%$mapG6%FfnF6-%'matinvG6#FZ>Fin-F[o6%f*6$%#
xxG%#yyGF36$%)operatorG%&arrowGF3-%*matmemberG6$-%%mmodG6#9$9%F3F3F3Fi
nF`p@$-%$hasG6$FinFW\\>F67$-%#opG6#F6FZ@$4-F[p6$FZF:>F:7$-FjpFAFZ>8*7
\"?&8+F6FWC%>8,Feq?&FRFSFWC)>FZ-Ffn6$FgqFR>FinFjn>Fin-F[o6%f*FdoF3FgoF
3FjoF3F3F3FinF`p>Fin7#-%$seqG6$7$%\"iG&Fin6#F[s/F[s;F<-F@6#Fin>8-&&-%'
selectG6$f*6#FeoF3FgoF3-%&evalbG6#&F`p6#FKF3F3F3FinFFFF@$-F[p6$FZF6>Fc
s,$FcsFL>Fjq7$-Fjp6#FjqFcs>Fdq7$-Fjp6#Fdq7$FgqFjqFdqF3F3F3" }}{PARA 7 
"" 1 "" {TEXT -1 81 "Warning, `jlist` is implicitly declared local to \+
procedure `generateFundDomain2`\n" }}{PARA 7 "" 1 "" {TEXT -1 77 "Warn
ing, `j` is implicitly declared local to procedure `generateFundDomain
2`\n" }}{PARA 7 "" 1 "" {TEXT -1 78 "Warning, `j1` is implicitly decla
red local to procedure `generateFundDomain2`\n" }}{PARA 7 "" 1 "" 
{TEXT -1 83 "Warning, `tstlist` is implicitly declared local to proced
ure `generateFundDomain2`\n" }}{PARA 7 "" 1 "" {TEXT -1 80 "Warning, `
res1` is implicitly declared local to procedure `generateFundDomain2`
\n" }}{PARA 7 "" 1 "" {TEXT -1 84 "Warning, `projlist` is implicitly d
eclared local to procedure `generateFundDomain2`\n" }}{PARA 7 "" 1 "" 
{TEXT -1 80 "Warning, `fdel` is implicitly declared local to procedure
 `generateFundDomain2`\n" }}{PARA 7 "" 1 "" {TEXT -1 81 "Warning, `mfd
el` is implicitly declared local to procedure `generateFundDomain2`\n
" }}{PARA 7 "" 1 "" {TEXT -1 79 "Warning, `pel` is implicitly declared
 local to procedure `generateFundDomain2`\n" }}{PARA 7 "" 1 "" {TEXT 
-1 80 "Warning, `jlis` is implicitly declared local to procedure `gene
rateFundDomain2`\n" }}{PARA 7 "" 1 "" {TEXT -1 78 "Warning, `mm` is im
plicitly declared local to procedure `generateFundDomain2`\n" }}{PARA 
12 "" 1 "" {XPPMATH 20 "6#>%4generateFundDomain2Gf*6$%(funddomG%*quotG
roupG60%&newelG%$resG%)frontierG%&jlistG%\"jG%#j1G%(tstlistG%%res1G%)p
rojlistG%%fdelG%&mfdelG%$pelG%%jlisG%#mmG6\"F8C,>8$&9$6#\"\"\">8%7#F;>
8&FB?(F8F?F?F82\"\"!-%%nopsG6#FDC&>F;&FDF>>FD&FD6#;\"\"#!\"\">8'&F;6#F
R?&8(FU%%trueGC*@$2FGFY\\>8),$FYFS>F;&F=6#Fjn>8*-%$mapG6%f*6$%#xxG%#yy
GF86$%)operatorG%&arrowGF8-%&mmultG6$F<9%F8F8F8FA-%%minvG6#&F;F>>F`o-F
bo6%%*matmemberGF`oF^p@$-%$hasG6$F`oFZFhn>FA7$-%#opG6#FAF;@$4-Ffp6$Fbp
-Fbo6$f*6#FfoF8FhoF8F<F8F8F8FD>FD7$-F^qFJF;>FA-Fbo6$f*FgqF8FhoF8F<F8F8
F8FA>8+7\">8,Far?&8-F=FZC(>8.&FerF>>F`o-Fbo6%F\\pFA-F`p6#Fhr>F`oFdp>F`
o7#-%$seqG6$7$&F`o6#%\"iGFhs/Fhs;F?-FI6#F`o>F`o&-%'selectG6$f*FgqF8Fho
F8-%&evalbG6#/F<FZF8F8F8F`oF>>Fcr7$-F^q6#Fcr&F`oFW?&8/FAFZC%>80Far?&81
7%%\"TG%#T1G%\"SGFZC*>F;-%(matmultG6$F]uFbu>F`o-Fbo6%F\\pFA-F`p6#F;>F`
oFdp>F`oFas>F`o-F`t6$f*FgqF8FhoF8FftF8F8F8F`o>FY&&F`oF>FW@$-Ffp6$F;FA>
FYF[o>F`u7$-F^q6#F`uFY>F`r7$-F^q6#F`r7$F]uF`u7$F`rFcrF8F8F8" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%,applymatmemG7\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%)memcountG\"\"\"" }}{PARA 7 "" 1 "" {TEXT -1 68 "Warn
ing, `res` is implicitly declared local to procedure `applymat`\n" }}
{PARA 7 "" 1 "" {TEXT -1 71 "Warning, `memsel` is implicitly declared \+
local to procedure `applymat`\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%)
applymatGf*6$%\"AG%\"zG6%%#A1G%$resG%'memselG6\"F-C)>8$-%'MatrixG6#9$>
8%-%)simplifyG6#-%&limitG6$*&,&*&&F06$\"\"\"FBFB%#z1GFBFB&F06$FB\"\"#F
BFB,&*&&F06$FFFBFBFCFBFB&F06$FFFFFB!\"\"/FC9%>8&-%'selectG6%f*6$%#xxG%
#yyGF-6$%)operatorG%&arrowGF--%&evalbG6#/-F86#&F46#FB-F86#FOF-F-F-%,ap
plymatmemGF6@$2\"\"!-%%nopsG6#FQC$-%'ASSERTG6#/FdoFB-%'RETURNG6#&&FQF]
o6#FF>F`o7$-%#opG6#F`o7$F6-%$catG6$%$QQQG%)memcountG>F\\q,&F\\qFBFBFB-
F]p6#&&F`o6#FMFapF-6$F\\qF`oF-" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$r
hoG,&#\"\"\"\"\"#!\"\"*&^##F'F(F'\"\"$F,F'" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%%ivalG^#\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&
inftyG%)infinityG" }}{PARA 7 "" 1 "" {TEXT -1 78 "Warning, `rels` is i
mplicitly declared local to procedure `generateInftyRels`\n" }}{PARA 
7 "" 1 "" {TEXT -1 76 "Warning, `pp` is implicitly declared local to p
rocedure `generateInftyRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 78 "Warning
, `rel0` is implicitly declared local to procedure `generateInftyRels`
\n" }}{PARA 7 "" 1 "" {TEXT -1 78 "Warning, `rel1` is implicitly decla
red local to procedure `generateInftyRels`\n" }}{PARA 7 "" 1 "" {TEXT 
-1 78 "Warning, `rel2` is implicitly declared local to procedure `gene
rateInftyRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 79 "Warning, `rels1` is i
mplicitly declared local to procedure `generateInftyRels`\n" }}{PARA 
7 "" 1 "" {TEXT -1 76 "Warning, `rr` is implicitly declared local to p
rocedure `generateInftyRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 84 "Warning
, `tclosrels1` is implicitly declared local to procedure `generateInft
yRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 86 "Warning, `equivclasses` is im
plicitly declared local to procedure `generateInftyRels`\n" }}{PARA 7 
"" 1 "" {TEXT -1 76 "Warning, `ii` is implicitly declared local to pro
cedure `generateInftyRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 81 "Warning, \+
`tstlist` is implicitly declared local to procedure `generateInftyRels
`\n" }}{PARA 7 "" 1 "" {TEXT -1 82 "Warning, `equivres` is implicitly \+
declared local to procedure `generateInftyRels`\n" }}{PARA 7 "" 1 "" 
{TEXT -1 80 "Warning, `equicl` is implicitly declared local to procedu
re `generateInftyRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 81 "Warning, `equ
irep` is implicitly declared local to procedure `generateInftyRels`\n
" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%2generateInftyRelsGf*6#%(funddom
G60%%relsG%#ppG%%rel0G%%rel1G%%rel2G%&rels1G%#rrG%+tclosrels1G%-equivc
lassesG%#iiG%(tstlistG%)equivresG%'equiclG%(equirepG6\"F7C0>8$<\"?&8%9
$%%trueGC&>8&7$-%)applymatG6$&F=6#\"\"\"%&inftyGFD>F:-%&unionG6$F:<#FB
@$2\"\"!&&F=6#\"\"#FHC$>8'7$-FE6$-%(matmultG6$FG%\"TGFJ-FE6$&&F>6#FSFH
FJ>F:-FM6$F:<#FY@$2FR&FTFUC$>8(7$FD-FE6$-Fhn6$&&F>6#FfoFHFjnFJ>F:-FM6$
F:<#Fio-%&printG6#F:>8)F;?&8*F:F?>Fjp-FM6$Fjp<&7$&F\\qFH&F\\qFU7$FcqFb
q7$FbqFbq7$FcqFcq>8+-%-transClosureG6#Fjp-Fgp6#Fhq>8,F;?&8-7#-%(indice
sGF]rF?>F_r-FM6$F_r<#&Fhq6#-%#opG6#Far>8.-%$mapG6%f*6$%#xxG%#yyGF76$%)
operatorG%&arrowGF77$-FE6$&F>FH9%F]tF7F7F7F>FJ>F_s7#-%$seqG6$7$-F\\s6#
&F_s6#%\"iGFit/Fit;FI-%%nopsG6#F_s>8/7\"?&80F_rF?C%>81-%'selectG6%f*Fd
sF7FgsF7-%'memberGF\\tF7F7F7F_sFcu>Ffu-Fas6$f*6#FesF7FgsF7&F>6#\"\"$F7
F7F7Ffu>F`u7$-F\\s6#F`uFfuF`uF7F7F7" }}{PARA 7 "" 1 "" {TEXT -1 76 "Wa
rning, `rels` is implicitly declared local to procedure `generateRhoRe
ls`\n" }}{PARA 7 "" 1 "" {TEXT -1 74 "Warning, `pp` is implicitly decl
ared local to procedure `generateRhoRels`\n" }}{PARA 7 "" 1 "" {TEXT 
-1 76 "Warning, `rel0` is implicitly declared local to procedure `gene
rateRhoRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 76 "Warning, `rel1` is impl
icitly declared local to procedure `generateRhoRels`\n" }}{PARA 7 "" 
1 "" {TEXT -1 76 "Warning, `rel2` is implicitly declared local to proc
edure `generateRhoRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 77 "Warning, `re
l3a` is implicitly declared local to procedure `generateRhoRels`\n" }}
{PARA 7 "" 1 "" {TEXT -1 77 "Warning, `rel3b` is implicitly declared l
ocal to procedure `generateRhoRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 77 "
Warning, `rels1` is implicitly declared local to procedure `generateRh
oRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 74 "Warning, `rr` is implicitly d
eclared local to procedure `generateRhoRels`\n" }}{PARA 7 "" 1 "" 
{TEXT -1 82 "Warning, `tclosrels1` is implicitly declared local to pro
cedure `generateRhoRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 84 "Warning, `e
quivclasses` is implicitly declared local to procedure `generateRhoRel
s`\n" }}{PARA 7 "" 1 "" {TEXT -1 74 "Warning, `ii` is implicitly decla
red local to procedure `generateRhoRels`\n" }}{PARA 7 "" 1 "" {TEXT 
-1 79 "Warning, `tstlist` is implicitly declared local to procedure `g
enerateRhoRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 80 "Warning, `equivres` \+
is implicitly declared local to procedure `generateRhoRels`\n" }}
{PARA 7 "" 1 "" {TEXT -1 78 "Warning, `equicl` is implicitly declared \+
local to procedure `generateRhoRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 79 
"Warning, `equirep` is implicitly declared local to procedure `generat
eRhoRels`\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%0generateRhoRelsGf*6#
%(funddomG62%%relsG%#ppG%%rel0G%%rel1G%%rel2G%&rel3aG%&rel3bG%&rels1G%
#rrG%+tclosrels1G%-equivclassesG%#iiG%(tstlistG%)equivresG%'equiclG%(e
quirepG6\"F9C0>8$<\"?&8%9$%%trueGC'>8&7$-%)applymatG6$&F?6#\"\"\"%$rho
GFF>F<-%&unionG6$F<<#FD@$2\"\"!&&F?6#\"\"#FJC$>8'7$-FG6$-%(matmultG6$F
I%\"TGFL-FG6$&&F@6#FUFJFL>F<-FO6$F<<#Fen@$2FT&FVFWC$>8(7$FF-FG6$-Fjn6$
&&F@6#FhoFJF\\oFL>F<-FO6$F<<#F[p@$2FT&FV6#\"\"$C%>8)7$-FG6$-Fjn6$FI%\"
SGFL-FG6$&&F@6#FjpFJFL>8*7$FF-FG6$-Fjn6$FhqFeqFL>F<-FO6$-FO6$F<<#F_q<#
F\\r-%&printG6#F<>8+F=?&8,F<FA>F]s-FO6$F]s<&7$&F_sFJ&F_sFW7$FfsFes7$Fe
sFes7$FfsFfs>8--%-transClosureG6#F]s-Fjr6#F[t>8.F=?&8/7#-%(indicesGF`t
FA>Fbt-FO6$Fbt<#&F[t6#-%#opG6#Fdt>80-%$mapG6%f*6$%#xxG%#yyGF96$%)opera
torG%&arrowGF97$-FG6$&F@FJ9%F`vF9F9F9F@FL>Fbu7#-%$seqG6$7$-F_u6#&Fbu6#
%\"iGF\\w/F\\w;FK-%%nopsG6#Fbu>817\"?&82FbtFAC%>83-%'selectG6%f*FguF9F
juF9-%'memberGF_vF9F9F9FbuFfw>Fiw-Fdu6$f*6#FhuF9FjuF9&F@F[qF9F9F9Fiw>F
cw7$-F_u6#FcwFiwFcwF9F9F9" }}{PARA 7 "" 1 "" {TEXT -1 74 "Warning, `re
ls` is implicitly declared local to procedure `generateIRels`\n" }}
{PARA 7 "" 1 "" {TEXT -1 72 "Warning, `pp` is implicitly declared loca
l to procedure `generateIRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 74 "Warni
ng, `rel0` is implicitly declared local to procedure `generateIRels`\n
" }}{PARA 7 "" 1 "" {TEXT -1 75 "Warning, `rel3a` is implicitly declar
ed local to procedure `generateIRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 
75 "Warning, `rel3b` is implicitly declared local to procedure `genera
teIRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 75 "Warning, `rels1` is implici
tly declared local to procedure `generateIRels`\n" }}{PARA 7 "" 1 "" 
{TEXT -1 72 "Warning, `rr` is implicitly declared local to procedure `
generateIRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 80 "Warning, `tclosrels1`
 is implicitly declared local to procedure `generateIRels`\n" }}{PARA 
7 "" 1 "" {TEXT -1 82 "Warning, `equivclasses` is implicitly declared \+
local to procedure `generateIRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 72 "W
arning, `ii` is implicitly declared local to procedure `generateIRels`
\n" }}{PARA 7 "" 1 "" {TEXT -1 77 "Warning, `tstlist` is implicitly de
clared local to procedure `generateIRels`\n" }}{PARA 7 "" 1 "" {TEXT 
-1 78 "Warning, `equivres` is implicitly declared local to procedure `
generateIRels`\n" }}{PARA 7 "" 1 "" {TEXT -1 76 "Warning, `equicl` is \+
implicitly declared local to procedure `generateIRels`\n" }}{PARA 7 "
" 1 "" {TEXT -1 77 "Warning, `equirep` is implicitly declared local to
 procedure `generateIRels`\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%.gen
erateIRelsGf*6#%(funddomG60%%relsG%#ppG%%rel0G%&rel3aG%&rel3bG%&rels1G
%#rrG%+tclosrels1G%-equivclassesG%#iiG%(tstlistG%)equivresG%'equiclG%(
equirepG6\"F7C0>8$<\"?&8%9$%%trueGC%>8&7$-%)applymatG6$&F=6#\"\"\"%%iv
alGFD>F:-%&unionG6$F:<#FB@$2\"\"!&&F=6#\"\"#6#\"\"$C%>8'7$-FE6$-%(matm
ultG6$FG%\"SGFJ-FE6$&&F>6#FSFHFJ>8(7$FD-FE6$-Fjn6$F_oF\\oFJ>F:-FM6$-FM
6$F:<#Fen<#Fco-%&printG6#F:>8)F;?&8*F:F?>Fdp-FM6$Fdp<&7$&FfpFH&FfpFU7$
F]qF\\q7$F\\qF\\q7$F]qF]q>8+-%-transClosureG6#Fdp-Fap6#Fbq>8,F;?&8-7#-
%(indicesGFgqF?>Fiq-FM6$Fiq<#&Fbq6#-%#opG6#F[r>8.-%$mapG6%f*6$%#xxG%#y
yGF76$%)operatorG%&arrowGF77$-FE6$&F>FH9%FgsF7F7F7F>FJ>Fir7#-%$seqG6$7
$-Ffr6#&Fir6#%\"iGFct/Fct;FI-%%nopsG6#Fir>8/7\"?&80FiqF?C%>81-%'select
G6%f*F^sF7FasF7-%'memberGFfsF7F7F7FirF]u>F`u-F[s6$f*6#F_sF7FasF7&F>FWF
7F7F7F`u>Fjt7$-Ffr6#FjtF`uFjtF7F7F7" }}{PARA 7 "" 1 "" {TEXT -1 72 "Wa
rning, `rel` is implicitly declared local to procedure `transClosure`
\n" }}{PARA 7 "" 1 "" {TEXT -1 74 "Warning, `start` is implicitly decl
ared local to procedure `transClosure`\n" }}{PARA 7 "" 1 "" {TEXT -1 
73 "Warning, `ziel` is implicitly declared local to procedure `transCl
osure`\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%-transClosureGf*6#%%rels
G6(%&elemsG%.elemfollowersG%#elG%$relG%&startG%%zielG6\"F/C(>8$<\">F2-
%&unionG6#-%#opG6#7#-%$seqG6$<$&&9$6#%\"iG6#\"\"\"&FA6#\"\"#/FD;FF-%%n
opsG6#FB>8%-%&tableG6#7\"?&8&F2%%trueG>&FP6#FVF3?&8'FBFWC&>8(&FfnFE>8)
&FfnFH>&FP6#Fin-F66$-F66$F_o&FP6#F\\o<#F\\o?&FVF2FW@$-%'memberG6$FinFY
>FY-F66$FYF_o-%%evalG6#FPF/F/F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "a:=Matrix([[1,1],[2,1]]);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%\"aG-%'RTABLEG6%\"*?Y*z8-%'MATRIXG6#7$7$\"
\"\"F.7$\"\"#F.%'MatrixG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 
"matiszero(a);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%&falseG" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "b:=Matrix([[0,0],[0,0]]);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%\"bG-%'RTABLEG6%\"*3D3Q\"-%'MATRIXG6#7$7$
\"\"!F.F-%'MatrixG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "matis
zero(matadd(b,a));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%&falseG" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "matiszero(matmult(a,a));" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#%&falseG" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 26 "htilde:=generateHTilde(7):" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 38 "htilde:=select(xx->mdet(xx)=1,htilde);" }}{PARA 
12 "" 1 "" {XPPMATH 20 "6#>%'htildeG727$7$\"\"$\"\"%7$\"\"\"F)7$7$F)F(
7$\"\"'F(7$7$F)F)7$F+F(7$7$\"\"&F(7$F+F57$7$F5F/7$F5\"\"#7$7$F5F+7$F:F
:7$7$F/\"\"!7$F@F/7$7$F5F)7$F/F57$7$F(F(7$F/F)7$7$F+F@7$F@F+7$7$F@F:7$
F(F@7$7$F@F57$F)F@7$7$F:F(7$F+F:7$7$F:F/7$F5F57$7$F:F)7$F/F:7$7$F:F+7$
F:F5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "nops(htilde);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#;" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 108 "a1:=Matrix([[0,3],[2,0]]);a
2:=Matrix([[1, 3],[4, 6]]);\na3:=Matrix([[2,5],[6,5]]);a4:=Matrix([[6,
0],[0,6]]);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#a1G-%'RTABLEG6%\"*
cC$z8-%'MATRIXG6#7$7$\"\"!\"\"$7$\"\"#F.%'MatrixG" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#a2G-%'RTABLEG6%\"*kF!f8-%'MATRIXG6#7$7$\"\"\"\"\"$7$
\"\"%\"\"'%'MatrixG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#a3G-%'RTABLE
G6%\"*3*\\g8-%'MATRIXG6#7$7$\"\"#\"\"&7$\"\"'F/%'MatrixG" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%#a4G-%'RTABLEG6%\"*O.%z8-%'MATRIXG6#7$7$\"\"'
\"\"!7$F/F.%'MatrixG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 79 "gen
sToGroup(map(xx->convert(xx,listlist),[a1,a2,a3,a4]),(xx,yy)->mmult(xx
,yy));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"$" 
}}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"&" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"(" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#5" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6$Q1nops~frontier~=~6\"\"\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1
nops~frontier~=~6\"\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~fro
ntier~=~6\"\"\"(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~
6\"\"\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"&
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"%" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"$" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"#" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"!" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#727$7$\"\"#\"\"$7$\"\"&\"\"\"7$7$F*F'7$\"\"%\"\"'7$7$F*
\"\"!7$F2F*7$7$F2F'7$F&F27$7$F&F)7$F/F)7$7$F/F27$F2F/7$7$F/F'7$F)F)7$7
$F'F/7$F'F.7$7$F2F.7$F)F27$7$F)F.7$F&F/7$7$F*F*7$F)F/7$7$F/F.7$F'F*7$7
$F.F*7$F.F'7$7$F/F/7$F&F*7$7$F)F&7$F*F&7$7$F*F.7$F&F&" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "res1:=%:" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "nops(
res1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#;" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "tstmat:=generateSl2Zmod
N():" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "findInnerAutom ( re
s1, htilde, tstmat );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q+x~found~=~6
\"-%'RTABLEG6%\"*7q,Q\"-%'MATRIXG6#7$7$\"\"!\"\"$7$\"\"#\"\"%%'MatrixG
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7#-%'RTABLEG6%\"*7q,Q\"-%'MATRIXG6
#7$7$\"\"!\"\"$7$\"\"#\"\"%%'MatrixG" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 9 "xx:=%[1];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#xxG-%'
RTABLEG6%\"*7q,Q\"-%'MATRIXG6#7$7$\"\"!\"\"$7$\"\"#\"\"%%'MatrixG" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "map((x,y)->minnerAut(y,x),re
s1,xx);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#72-%'RTABLEG6%\"*o#>!Q\"-%'
MATRIXG6#7$7$\"\"$\"\"%7$\"\"\"F.%'MatrixG-F%6%\"*gg-Q\"-F)6#7$7$\"\"#
F07$F9\"\"&F1-F%6%\"*7a[N\"-F)6#7$7$F0\"\"!7$FCF0F1-F%6%\"*/-.Q\"-F)6#
7$7$F9\"\"'7$F;F;F1-F%6%\"*!yI!Q\"-F)6#7$7$F.F-7$FLF-F1-F%6%\"*[*Re8-F
)6#7$7$F;F.7$FLF;F1-F%6%\"*3p.Q\"-F)6#7$7$FCF;7$F.FCF1-F%6%\"*c1qO\"-F
)6#7$7$FLFC7$FCFLF1-F%6%\"*gK/Q\"-F)6#7$7$FCF97$F-FCF1-F%6%\"*__/Q\"-F
)6#7$7$F;FL7$F;F9F1-F%6%\"*Sx/Q\"-F)6#7$7$F-F-7$FLF.F1-F%6%\"*K(\\!Q\"
-F)6#7$7$F9F.7$FLF9F1-F%6%\"*[P?O\"-F)6#7$7$F;F-7$F0F;F1-F%6%\"*St)p8-
F)6#7$7$F;F07$F9F9F1-F%6%\"*/%Rh8-F)6#7$7$F.F.7$F0F-F1-F%6%\"*cznN\"-F
)6#7$7$F9F-7$F0F9F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "htild
e;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#72-%'RTABLEG6%\"*3M%z8-%'MATRIXG
6#7$7$\"\"'\"\"!7$F.F-%'MatrixG-F%6%\"*O*Qz8-F)6#7$7$\"\"&\"\"%7$F-F8F
0-F%6%\"*oH%z8-F)6#7$7$F8\"\"$7$\"\"\"F8F0-F%6%\"*3I%z8-F)6#7$7$\"\"#F
97$F-FLF0-F%6%\"*[a%z8-F)6#7$7$FLFB7$FDFLF0-F%6%\"*[,0O\"-F)6#7$7$FDF.
7$F.FDF0-F%6%\"*?%*\\N\"-F)6#7$7$F.F87$F9F.F0-F%6%\"*?j&z8-F)6#7$7$F.F
L7$FBF.F0-F%6%\"*?e\\O\"-F)6#7$7$F8FD7$FLFLF0-F%6%\"*[/'z8-F)6#7$7$F8F
-7$F8FLF0-F%6%\"*oB'z8-F)6#7$7$F9F97$FDFBF0-F%6%\"*sm'z8-F)6#7$7$F9FB7
$F-FBF0-F%6%\"*k'oz8-F)6#7$7$FBF97$FDF9F0-F%6%\"*c1(z8-F)6#7$7$FBFB7$F
-F9F0-F%6%\"*K@sN\"-F)6#7$7$FLFD7$FLF8F0-F%6%\"*G`(z8-F)6#7$7$FLF-7$F8
F8F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "matlisequal(%,%%);
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%%trueG" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "a5:=
Matrix([[4,0],[6,2]]);a6:=Matrix([[6,6],[2,1]]);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#a5G-%'RTABLEG6%\"*g^%z8-%'MATRIXG6#7$7$\"\"%\"\"!7$
\"\"'\"\"#%'MatrixG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#a6G-%'RTABLE
G6%\"*Wt%z8-%'MATRIXG6#7$7$\"\"'F.7$\"\"#\"\"\"%'MatrixG" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 85 "gensToGroup(map(xx->convert(xx,list
list),[a1,a2,a3,a4,a5,a6]),(xx,yy)->mmult(xx,yy));" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"&" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#6" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6$Q1nops~frontier~=~6\"\"#8" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1n
ops~frontier~=~6\"\"#9" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~front
ier~=~6\"\"#;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"
\"#:" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#<" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#<" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#<" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#>" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6$Q1nops~frontier~=~6\"\"#=" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1n
ops~frontier~=~6\"\"#=" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~front
ier~=~6\"\"#=" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"
\"#=" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#=" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#=" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#>" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#=" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6$Q1nops~frontier~=~6\"\"#>" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1n
ops~frontier~=~6\"\"#>" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~front
ier~=~6\"\"#>" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"
\"#=" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#=" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#=" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#=" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#<" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6$Q1nops~frontier~=~6\"\"#=" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1n
ops~frontier~=~6\"\"#=" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~front
ier~=~6\"\"#<" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"
\"#;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#:" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#:" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#9" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q1nops~frontier~=~6\"\"#8" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6$Q1nops~frontier~=~6\"\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1n
ops~frontier~=~6\"\"#6" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~front
ier~=~6\"\"#5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"
\"\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\")" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"(" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"'" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"&" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"%" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"#" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q1nops~frontier~=~6\"\"\"!" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#7R7$7$\"\"%\"\"'7$\"\"\"\"\"!7$7$\"\"$\"\"&7$F&F*7$7$\"
\"#F27$F*F&7$7$F-F*7$F)F.7$7$F-F-7$F.F-7$F97$F-F27$7$F*F)7$F'F&7$7$F2F
-7$F.F)7$7$F-F&F@7$7$F2F*7$F)F&7$7$F*F2F87$7$F)F-F%7$7$F&F2F57$7$F.F.7
$F*F-7$F(F=7$7$F'F27$F'F)7$7$F*F'FJ7$7$F.F'7$F.F27$7$F&F&7$F2F&7$F;7$F
*F.7$FA7$F&F)7$F67$F)F'7$FOFE7$7$F2F.7$F'F.7$7$F'F*FU7$7$F2F'7$F-F'7$7
$F'F-FN7$FdoFC7$F37$F.F*7$7$F.F&Fco7$7$F)F)FW7$Fen7$F&F.7$F>7$F-F)7$Fi
n7$F&F-7$7$F'F'7$F2F)7$FX7$F)F27$FSFL7$FfpF^o7$FFF17$FcpF[p7$FapFao7$F
ioFfo7$F_oF]p7$FhpFep7$F/FR7$FgnFZ7$F_pFH7$F[oF," }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 9 "resa0:=%:" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "nops(re
sa0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#[" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "fd21:=generateFundDomain (
 res1 );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"
\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"#" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"%" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"&" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"'" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"(" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"(" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"(" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"'" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"'" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"&" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"&" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"%" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"%" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"#" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"#" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"!" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#>%%fd21G777$7$7$\"\"\"\"\"!7$F*F)7%!\"#!\"$!\"%7$7$7$F)
F)F+7%!\"&!\"\"!\"'7$7$7$F)F5F+7%F5!\"(!\")7$7$7$F*F5F(7%!\"*!#5F)7$7$
7$F)\"\"#F+7%!#6F-!#77$7$F9F(7%!#8!#9FF7$7$7$F)F-F+7%F.!#:\"\"(7$7$7$F
5F5F(7%!#;\"\"*\"\"$7$7$F?F27%\"\")F/FZ7$7$F?F97%F/!#<\"#87$7$7$F)FenF
+7%\"#:F4\"#<7$7$7$FFF5F(7%!#=F^o\"\"&7$7$F(F27%\"#7F6FB7$7$FQF97%F6!#
>\"#=7$7$7$F)F.F+7%F;\"#6\"#;7$7$7$F5F-F27%!#?F<Fco7$7$F?FQ7%FB\"#?Fhp
7$7$7$FFF)F27%!#@FIFN7$7$FfpFQ7%FN\"#@\"#>7$7$7$F5F.FE7%FdoFYFbq7$7$7$
FFFenFE7%F\\rFioF[r" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "nops
(fd21);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#@" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "
generateFundDomain2 ( fd21, resa0 );" }}{PARA 12 "" 1 "" {XPPMATH 20 "
6#7$7)7$7$7$\"\"\"\"\"!7$F)F(7%!\"#!\"$!\"%7$7$7$F(F(F*7%!\"&!\"\"\"\"
#7$7$7$F(F4F*7%F4!\"'\"\"$7$7$7$F)F4F'7%\"\"'!\"(F(7$7$7$F(F5F*7%\"\"(
F,FF7$7$7$F(F,F*7%F-\"\"%F@7$7$F>F87%F.\"\"&FO77F(F5F;FKFOF5F@F;F@FFFF
FFFOF(FKF(FOFKF;F5F@" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "prj
fd217:=%;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%)prjfd217G7$7)7$7$7$\"
\"\"\"\"!7$F+F*7%!\"#!\"$!\"%7$7$7$F*F*F,7%!\"&!\"\"\"\"#7$7$7$F*F6F,7
%F6!\"'\"\"$7$7$7$F+F6F)7%\"\"'!\"(F*7$7$7$F*F7F,7%\"\"(F.FH7$7$7$F*F.
F,7%F/\"\"%FB7$7$F@F:7%F0\"\"&FQ77F*F7F=FMFQF7FBF=FBFHFHFHFQF*FMF*FQFM
F=F7FB" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "fd7:=prjfd217[1];
" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$fd7G7)7$7$7$\"\"\"\"\"!7$F*F)7%
!\"#!\"$!\"%7$7$7$F)F)F+7%!\"&!\"\"\"\"#7$7$7$F)F5F+7%F5!\"'\"\"$7$7$7
$F*F5F(7%\"\"'!\"(F)7$7$7$F)F6F+7%\"\"(F-FG7$7$7$F)F-F+7%F.\"\"%FA7$7$
F?F97%F/\"\"&FP" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "prjli
s:=prjfd217[2];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'prjlisG77\"\"\"
\"\"#\"\"$\"\"%\"\"&F'\"\"'F(F+\"\"(F,F,F*F&F)F&F*F)F(F'F+" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "nops(%);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#\"#@" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "nops(
fd7);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"(" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "
ol21:=generateRhoRels(fd21);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#<D7$%%
QQQ4GF%7$%&QQQ15G%&QQQ16G7$%%QQQ5GF*7$%&QQQ14G%&QQQ11G7$%%QQQ3GF*7$F(F
'7$F,%&QQQ13G7$F*F/7$%%QQQ7GF57$%%QQQ9GF-7$F2F27$F-F-7$F(%&QQQ12G7$%&Q
QQ10GF=7$F;F(7$F=F77$%%QQQ1G%%QQQ6G7$%%QQQ8GFD7$F=F27$F5FD7$FDF57$F2F=
7$FAFA7$%%QQQ2GFK7$F'F'7$FBFA7$F7F=7$F;F;7$F;F'7$F'F;7$F-F,7$F-F77$F2F
,7$F/F/" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#-%&TABLEG6#72/%&QQQ14G<'%&Q
QQ11G%&QQQ13G%%QQQ9G%&QQQ10GF(/F*F)/%%QQQ1G<$%%QQQ6GF0/F2F1/%%QQQ2G<#F
5/%%QQQ5G<$F8%%QQQ3G/%%QQQ4G<#F</F,F)/F-F)/%&QQQ16G<%FA%&QQQ15G%&QQQ12
G/%%QQQ8G<$%%QQQ7GFF/FHFG/FDFB/F:F9/F+F)/FCFB" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%%ol21G7)7%\"\"&\"\"'\"#=7%\"\"$\"\"(\"#;7%\"#5\"#6\"#
77%\"\"#\"\"%\"#87%\"#:\"#<\"#?7%\"#9\"#>\"#@7%\"\"\"\"\")\"\"*" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "nops(ol21);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#\"\"(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 
"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "oli21:=generateIRels (
 fd21 );" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#<57$%&QQQ10GF%7$%%QQQ7GF'7
$%&QQQ11GF)7$F)%&QQQ12G7$F+F+7$F+F)7$%%QQQ9GF/7$F/%%QQQ8G7$F1F17$%&QQQ
13GF47$F1F/7$%&QQQ14GF77$%%QQQ6GF97$%%QQQ1GF;7$%%QQQ2GF=7$%%QQQ3GF?7$%
&QQQ15GFA7$%%QQQ4GFC7$%%QQQ5GFE" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#-%&
TABLEG6#71/%&QQQ12G<$%&QQQ11GF(/%%QQQ8G<$F,%%QQQ9G/%%QQQ3G<#F0/%%QQQ5G
<#F3/%&QQQ15G<#F6/F.F-/%%QQQ1G<#F:/%&QQQ13G<#F=/%&QQQ10G<#F@/%%QQQ7G<#
FC/%%QQQ6G<#FF/F*F)/%&QQQ14G<#FJ/%%QQQ4G<#FM/%%QQQ2G<#FP" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%&oli21G7/7$\"#9\"#=7$\"#5\"#87$\"#:\"#;7$\"#6
\"#<7#\"#>7#\"#?7#\"\"*7$\"\"\"\"\"%7$\"\"#\"\"'7$\"\"$\"\")7#\"#@7$\"
\"&\"#77#\"\"(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "nops(oli2
1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#8" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 28 "select ( xx->nops(xx)=2,%%);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#7*7$\"#9\"#=7$\"\"\"\"\"%7$\"\"&\"#77$\"#6\"#<7$\"\"#\"
\"'7$\"#5\"#87$\"#:\"#;7$\"\"$\"\")" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "oli7 := generateIRels ( fd7 \+
);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<*7$%%QQQ7G%%QQQ4G7$F%F%7$F&F%7$
%%QQQ1GF*7$%%QQQ2GF,7$%%QQQ3GF.7$F&F&7$%%QQQ5GF1" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#-%&TABLEG6#7(/%%QQQ3G<#F(/%%QQQ5G<#F+/%%QQQ1G<#F./%%QQQ
7G<$F1%%QQQ4G/F3F2/%%QQQ2G<#F6" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%o
li7G7'7$\"\"&\"\"(7$\"\"\"\"\"%7#\"\"#7#\"\"$7#\"\"'" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 24 "A,B,C,D,E,F,G,mu,lambda;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6+%\"A
G%\"BG%\"CG%\"DG%\"EG%\"FG%\"GG%#muG%'lambdaG" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "eq1:=jj-lambda*(xi^2+A*xi+
B)^3*xi;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq1G,&%#jjG\"\"\"*(%'la
mbdaGF'),(*$)%#xiG\"\"#F'F'*&%\"AGF'F.F'F'%\"BGF'\"\"$F'F.F'!\"\"" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "subs(jj=1728,eq1)-mu*(xi^2+C
*xi+D)^2*(xi^2+E*xi+F)*(xi-G);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(\"
%G<\"\"\"*(%'lambdaGF%),(*$)%#xiG\"\"#F%F%*&%\"AGF%F,F%F%%\"BGF%\"\"$F
%F,F%!\"\"**%#muGF%),(F*F%*&%\"CGF%F,F%F%%\"DGF%F-F%,(F*F%*&%\"EGF%F,F
%F%%\"FGF%F%,&F,F%%\"GGF2F%F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 14 "collect(%,xi);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,4*&,&%'lambda
G!\"\"%#muGF'\"\"\")%#xiG\"\"(F)F)*&,**(\"\"$F)F&F)%\"AGF)F'*(\"\"#F)F
(F)%\"CGF)F'*&F(F)%\"EGF)F'*&F(F)%\"GGF)F)F))F+\"\"'F)F)*&,,*&F&F),&*&
F0F)%\"BGF)F)*&F0F))F1F3F)F)F)F'*&F(F),&*&F3F)%\"DGF)F)*$)F4F3F)F)F)F'
**F3F)F(F)F4F)F6F)F'*&F(F)%\"FGF)F'*&,&*(F3F)F(F)F4F)F)F5F)F)F8F)F)F))
F+\"\"&F)F)*&,,*&F&F),&*(\"\"%F)F@F)F1F)F)*&F1F),&*&F3F)F@F)F)*$FBF)F)
F)F)F)F'**F3F)F(F)FFF)F4F)F'*(F(F)FDF)F6F)F'**F3F)F(F)F4F)FKF)F'*&,(FC
F)**F3F)F(F)F4F)F6F)F)FJF)F)F8F)F)F))F+FVF)F)*&,,*&F&F),(*&F@F)FXF)F)*
(F3F)FBF)F@F)F)*$)F@F3F)F)F)F'*&F(F))FFF3F)F'*,F3F)F(F)FFF)F4F)F6F)F'*
(F(F)FDF)FKF)F'*&,(**F3F)F(F)FFF)F4F)F)FfnF)**F3F)F(F)F4F)FKF)F)F)F8F)
F)F))F+F0F)F)*&,***F0F)F&F)FcoF)F1F)F'*(F(F)FeoF)F6F)F'*,F3F)F(F)FFF)F
4F)FKF)F'*&,(FdoF)*,F3F)F(F)FFF)F4F)F6F)F)FgoF)F)F8F)F)F))F+F3F)F)*&,(
*&F&F))F@F0F)F'*(F(F)FeoF)FKF)F'*&,&F`pF)*,F3F)F(F)FFF)F4F)FKF)F)F)F8F
)F)F)F+F)F)\"%G<F)**F(F)FeoF)FKF)F8F)F)" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 26 "collect(%,xi,distributed);" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#,4*&,&%'lambdaG!\"\"%#muGF'\"\"\")%#xiG\"\"(F)F)*&,**(
\"\"$F)F&F)%\"AGF)F'*(\"\"#F)F(F)%\"CGF)F'*&F(F)%\"EGF)F'*&F(F)%\"GGF)
F)F))F+\"\"'F)F)*&,,*&F&F),&*&F0F)%\"BGF)F)*&F0F))F1F3F)F)F)F'*&F(F),&
*&F3F)%\"DGF)F)*$)F4F3F)F)F)F'**F3F)F(F)F4F)F6F)F'*&F(F)%\"FGF)F'*&,&*
(F3F)F(F)F4F)F)F5F)F)F8F)F)F))F+\"\"&F)F)*&,,*&F&F),&*(\"\"%F)F@F)F1F)
F)*&F1F),&*&F3F)F@F)F)*$FBF)F)F)F)F)F'**F3F)F(F)FFF)F4F)F'*(F(F)FDF)F6
F)F'**F3F)F(F)F4F)FKF)F'*&,(FCF)**F3F)F(F)F4F)F6F)F)FJF)F)F8F)F)F))F+F
VF)F)*&,,*&F&F),(*&F@F)FXF)F)*(F3F)FBF)F@F)F)*$)F@F3F)F)F)F'*&F(F))FFF
3F)F'*,F3F)F(F)FFF)F4F)F6F)F'*(F(F)FDF)FKF)F'*&,(**F3F)F(F)FFF)F4F)F)F
fnF)**F3F)F(F)F4F)FKF)F)F)F8F)F)F))F+F0F)F)*&,***F0F)F&F)FcoF)F1F)F'*(
F(F)FeoF)F6F)F'*,F3F)F(F)FFF)F4F)FKF)F'*&,(FdoF)*,F3F)F(F)FFF)F4F)F6F)
F)FgoF)F)F8F)F)F))F+F3F)F)*&,(*&F&F))F@F0F)F'*(F(F)FeoF)FKF)F'*&,&F`pF
)*,F3F)F(F)FFF)F4F)FKF)F)F)F8F)F)F)F+F)F)\"%G<F)**F(F)FeoF)FKF)F8F)F)
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "cfs:=coeffs(%,xi);" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$cfsG6*,&\"%G<\"\"\"**%#muGF()%\"DG
\"\"#F(%\"FGF(%\"GGF(F(,(*&%'lambdaGF()%\"BG\"\"$F(!\"\"*(F*F(F+F(F.F(
F6*&,&*(F*F(F+F(%\"EGF(F(*,F-F(F*F(F,F(%\"CGF(F.F(F(F(F/F(F(,***F5F(F2
F()F4F-F(%\"AGF(F6F:F6*,F-F(F*F(F,F(F=F(F.F(F6*&,(*&F*F(F+F(F(*,F-F(F*
F(F,F(F=F(F;F(F(*(F*F(,&*&F-F(F,F(F(*$)F=F-F(F(F(F.F(F(F(F/F(F(,&F2F6F
*F6,**(F5F(F2F(FAF(F6*(F-F(F*F(F=F(F6*&F*F(F;F(F6*&F*F(F/F(F(,,*&F2F(,
&*&F5F(F4F(F(*&F5F()FAF-F(F(F(F6*&F*F(FHF(F6**F-F(F*F(F=F(F;F(F6*&F*F(
F.F(F6*&,&*(F-F(F*F(F=F(F(FPF(F(F/F(F(,,*&F2F(,&*(\"\"%F(F4F(FAF(F(*&F
AF(,&*&F-F(F4F(F(*$FWF(F(F(F(F(F6**F-F(F*F(F,F(F=F(F6*(F*F(FHF(F;F(F6*
*F-F(F*F(F=F(F.F(F6*&,(FXF(**F-F(F*F(F=F(F;F(F(FZF(F(F/F(F(,,*&F2F(,(*
&F4F(F^oF(F(*(F-F(FWF(F4F(F(*$F@F(F(F(F6FEF6*,F-F(F*F(F,F(F=F(F;F(F6FG
F6*&,(**F-F(F*F(F,F(F=F(F(FboF(**F-F(F*F(F=F(F.F(F(F(F/F(F(" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "with(
Groebner);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#77%*MulMatrixG%)SetBasis
G%%fglmG%'gbasisG%'gsolveG%+hilbertdimG%,hilbertpolyG%.hilbertseriesG%
-inter_reduceG%*is_finiteG%,is_solvableG%*leadcoeffG%(leadmonG%)leadte
rmG%(normalfG%/pretend_gbasisG%'reduceG%&spolyG%*termorderG%*testorder
G%)univpolyG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "cfsbasis:=g
basis([cfs],tdeg(E,F,G,C,D, mu, B, A, lambda) );" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#>%)cfsbasisG7<,&%'lambdaG\"\"\"%#muGF(,&%\"BG!\"\"*&\"
\"(F(%\"DGF(F(,&*&F.F(%\"CGF(F(*&\"\"%F(%\"AGF(F,,(*&\"#8F(F5F(F,*&F.F
(%\"EGF(F(*&F.F(%\"GGF(F,,,*&\"#FF()F5\"\"#F(F(*&\"$L\"F(F+F(F(*&\"#\\
F(%\"FGF(F,*&FEF()F<FAF(F(*(\"#\"*F(F5F(F<F(F(,(*(\"$c(F(F+F(F5F(F,*(
\"$V$F(F<F(FFF(F,*&\"#\")F()F5\"\"$F(F(,(*&\"%oAF()F+FAF(F(*(F?F(F@F(F
+F(F,**\"$#RF(F5F(F<F(FFF(F(,0**FQF(F@F(F+F(F<F(F(*(\"%WFF(F<F()FFFAF(
F(**\"$P'F(F<F(F+F(FFF(F(*(\"%/oF(F<F(FWF(F,*(\"%w6F(F5F(FinF(F,**\"%S
#*F(F5F(FFF(F+F(F(*(\"&K7\"F(FWF(F5F(F,,0*(\"&*))HF(FWF(F@F(F,*(\"&'47
F(F@F(FinF(F(*(\"&%efF(FinF(F+F(F(*&\"&_>#F()FFFSF(F,*(\"'seBF(FFF(FWF
(F,**\"%3GF(F@F(FFF(F+F(F(*&\"')=r#F()F+FSF(F(,0**\"'caVF(F<F(FWF(F5F(
F(**\"'O\\oF(F@F(FFF(F+F(F,*(\"(Fz,\"F(FWF(F@F(F(*&\"'kO:F(F]pF(F(*(\"
'%yT%F(FinF(F+F(F,*(\"(37'GF(FFF(FWF(F(*&\"(;$)*=F(FdpF(F,,0**\"(O<_#F
(F+F(F<F(FinF(F(*(\"(saA&F(F<F(FdpF(F,**\"'c+%)F(FinF(F+F(F5F(F,**\"(C
3g(F(F5F(FFF(FWF(F(*(\"(CAr*F(FdpF(F5F(F,*(F\\pF(F5F(F]pF(F,**\"'nl7F(
F<F(FWF(FFF(F,,0*(\")_@l<F(F<F(F]pF(F(**\")\"[7M%F(F<F(FWF(FFF(F,*(\"(
#R\"\\)F(F<F(FdpF(F(*(\"(O&HvF(F5F(F]pF(F,**\")6g!3'F(FinF(F+F(F5F(F(*
*\")&z1Y)F(F5F(FFF(FWF(F,*(\")gD58F(FdpF(F5F(F(,&\"&sY)F,**F<F(FWF(FFF
(F'F(F(,0*(\"&Ko(F()FFF4F(F'F(F(**\"'3C%)F(F]pF(F+F(F'F(F,**\"(Jb=%F(F
inF(F'F(FWF(F(**\")>g_5F(FFF(F'F(FdpF(F,*(\")/bSjF()F+F4F(F'F(F,*&\",g
d)eU!*F(F<F(F,*&\".o\"f=y*=\"F(F5F(F,,0*&\"*/%\\)=(F(F`tF(F(*(\").%)4$
*F(FdpF(F@F(F,**\")!33f'F(FFF(FWF(F@F(F(*(\"*7&o\"\\$F(FinF(FWF(F(*(\"
)'p\\V*F(F]pF(F+F(F,*&\"(%=0')F(FgsF(F(*(\"*3eDa)F(FdpF(FFF(F,,0**\",%
=^o/eF(FinF(FWF(F5F(F,**\",sY!y17F(F+F(F5F(F]pF(F(**\"-'H*=K=9F(F5F(FF
F(FdpF(F(*(\"-7dp;97F(F`tF(F5F(F,**\",Vn%z\"*\\F(F<F(FdpF(FFF(F(*(\"+G
xtH6F(F5F(FgsF(F,*(\",g\"3h#f(F(F<F(F`tF(F,,(*(F'F(FdpF(F@F(F(*(\"#%)F
(F`tF(F'F(F,*&\"(7$H7F(F5F(F,,(*(F'F(F`tF(F5F(F(*&\"&kk\"F(F@F(F(*&\"%
-[F(F+F(F,,,*,F.F(FinF(F'F(FWF(F5F(F(*,\"#bF(F5F(FFF(F'F(FdpF(F,*(\"'/
FfF(F5F(F<F(F,*&\"(O25\"F(F@F(F,*&\"(wHQ\"F(FFF(F,,(*(\"$i\"F()F+\"\"&
F(F'F(F(*(\"'cW8F(F<F(FFF(F(*(\"(2zl#F(F+F(F5F(F(,0**\"&k;\"F(F'F(F`tF
(F<F(F(*,FEF(F+F(F5F(F]pF(F'F(F(*,\"%LAF(F5F(FFF(F'F(FdpF(F,*(\"*%eq(e
\"F(F5F(F<F(F(*&\")wX1iF(F@F(F,*&\"*3M91\"F(FFF(F,*&\"*kS-G\"F(F+F(F(,
,**FEF(FFF(F`tF(F'F(F,*(\"'wtnF(F5F(FFF(F,*(FinF(F'F(FdpF(F(*(\"'[s:F(
F+F(F5F(F,*(FbsF(F<F(F+F(F,,0**FEF(F]pF(FWF(F'F(F(**\"&PV#F(FFF(F`tF(F
'F(F,*(\"(WhG#F(F<F(F@F(F,*(\");w7AF(F<F(FFF(F,*(\")w8E6F(F<F(F+F(F,*(
\"*c-#ROF(F5F(FFF(F,*(\")![S0'F(F+F(F5F(F,,0*(\".jJ:=@8\"F(F`tF(F@F(F(
*(\"/sIG\"H$GqF(FdpF(FinF(F,*(\"/'p$HXKXOF(FWF(F]pF(F(*(\"/GxP5ejpF(F`
tF(FFF(F(*&\"/%G!o`9LMF(F\\xF(F,*(\"./6>y?K*F(FgsF(F+F(F,*&\".g\")em-+
\"F()FFF]xF(F(,0*(\"1O$Qm0X15(F(F<F(F\\xF(F(**\"2tjS%Ge@,jF(FdpF(FinF(
F5F(F,**\"2H%=E*z+YX&F(F`tF(F5F(FFF(F(*(\"2%)>O%*=/(y6F(F\\xF(F5F(F,**
\"2))G`Z6**oV$F(FWF(F5F(F]pF(F(**\"1K?L^Y.s*)F(F+F(F5F(FgsF(F,*(\"0KwN
[L/u*F(F5F(Fe[lF(F(,0*(\"+/^H2rF(F\\xF(FFF(F,*&\"+OByw@F()F+\"\"'F(F(*
(\"+8)z3\")*F(F`tF(FinF(F(*(\"+c_HzHF(FWF(FgsF(F(*(\"+$pRdB(F(FdpF(F]p
F(F,*&\"))GO-'F()FFF[]lF(F(*(\"*[WYY'F(Fe[lF(F+F(F," }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 52 "gbasis(cfsbasis,plex(E,F,G,C,D, mu, B, A,
 lambda) );" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7*,(\"/sYK`D\"o)\"\"\"*
&)%'lambdaG\"\"#F&)%\"AG\"#9F&F&*(\")fgq5F&F)F&)F,\"\"(F&F&,(*&\"*GWTh
\"F&%\"BGF&F&*&F)F&)F,\"\"*F&!\"\"*&\")N%fq$F&)F,F*F&F9,&F)F&%#muGF&,(
*&\"+'*4!*H6F&%\"DGF&F&F6F9*&F;F&F<F&F9,&*&F1F&%\"CGF&F&*&\"\"%F&F,F&F
9,.*&\"+spI4zF&)%\"GG\"\"$F&F&*(\",[Hr)o9F&F,F&)FMF*F&F&**\"$L\"F&FMF&
F)F&F7F&F&*(\"+6W4(G*F&FMF&F<F&F&*(\"$3\"F&F)F&)F,\"#5F&F&*&\"+cMiM@F&
)F,FNF&F&,,*&FAF&%\"FGF&F&*&\"+'*4!*H6F&FQF&F9*(\"+kvQ)4#F&F,F&FMF&F9*
(\"#>F&F)F&F7F&F9*&\"+txsE8F&F<F&F9,(*&\"#8F&F,F&F9*&F1F&%\"EGF&F&*&F1
F&FMF&F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "cfsbasis2:=%;" 
}}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%*cfsbasis2G7*,(\"/sYK`D\"o)\"\"\"*
&)%'lambdaG\"\"#F()%\"AG\"#9F(F(*(\")fgq5F(F+F()F.\"\"(F(F(,(*&\"*GWTh
\"F(%\"BGF(F(*&F+F()F.\"\"*F(!\"\"*&\")N%fq$F()F.F,F(F;,&F+F(%#muGF(,(
*&\"+'*4!*H6F(%\"DGF(F(F8F;*&F=F(F>F(F;,&*&F3F(%\"CGF(F(*&\"\"%F(F.F(F
;,.*&\"+spI4zF()%\"GG\"\"$F(F(*(\",[Hr)o9F(F.F()FOF,F(F(**\"$L\"F(FOF(
F+F(F9F(F(*(\"+6W4(G*F(FOF(F>F(F(*(\"$3\"F(F+F()F.\"#5F(F(*&\"+cMiM@F(
)F.FPF(F(,,*&FCF(%\"FGF(F(*&\"+'*4!*H6F(FSF(F;*(\"+kvQ)4#F(F.F(FOF(F;*
(\"#>F(F+F(F9F(F;*&\"+txsE8F(F>F(F;,(*&\"#8F(F.F(F;*&F3F(%\"EGF(F(*&F3
F(FOF(F;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 65 "eqns:=select((xx,yy)->not ha
s(xx,yy), cfsbasis2,[C,D,E,F,G,mu] );" }}{PARA 0 "> " 0 "" {MPLTEXT 1 
0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqnsG7$,(\"/sYK`D\"o)\"\"
\"*&)%'lambdaG\"\"#F()%\"AG\"#9F(F(*(\")fgq5F(F+F()F.\"\"(F(F(,(*&\"*G
WTh\"F(%\"BGF(F(*&F+F()F.\"\"*F(!\"\"*&\")N%fq$F()F.F,F(F;" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "eqns1:=
simplify(subs(lambda=1,eqns));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&e
qns1G7$,(\"/sYK`D\"o)\"\"\"*$)%\"AG\"#9F(F(*&\")fgq5F()F+\"\"(F(F(,(*&
\"*GWTh\"F(%\"BGF(F(*$)F+\"\"*F(!\"\"*&\")N%fq$F()F+\"\"#F(F8" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "loes:=solve(\{op(eqns1)\},\{
B,A\});" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%loesG6%<$/%\"AG,$*&\"\"(
\"\"\"-%'RootOfG6$,(*$)%#_ZG\"\"#F,F,F3!\"\"F4F,/%&labelG%$_L4GF,F,/%
\"BG,&*&F+F,F-F,F,\"#@F5<$/F:,.*&#\"#\\\"\"%F,*$)-F.6$,0*$)F3\"\"'F,F,
*&\"\"$F,)F3\"\"&F,F5*&F4F,)F3FDF,F,*$)F3FNF,F,*&FDF,F2F,F,*&\"#7F,F3F
,F5\"\")F,/F7%$_L5GF4F,F,F,*&#F=FDF,*$)FGFPF,F,F,*&\"#GF,FGF,F,*&#\"#N
FDF,*$)FGFDF,F,F5FjnF5*&#F+F4F,*$)FGFNF,F,F5/F(,$*&F+F,FGF,F,<$/F:,.*&
#\"#\"*FDF,*$)-F.6$,0FJF,*&FDF,FOF,F,*&\"\"*F,FRF,F,*&\"#:F,FTF,F,*&\"
#=F,F2F,F,*&\"#;F,F3F,F,FXF,/F7%$_L6GF4F,F,F,*&#F]oFDF,*$)F_pFNF,F,F,*
&#F+FDF,*$)F_pFPF,F,F,*&#F+F4F,*$)F_pFDF,F,F,*&\"#9F,F_pF,F,FjqF,/F(,$
*&F+F,F_pF,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "[loes][1];
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/%\"AG,$*&\"\"(\"\"\"-%'RootOfG6
$,(*$)%#_ZG\"\"#F)F)F0!\"\"F1F)/%&labelG%$_L4GF)F)/%\"BG,&*&F(F)F*F)F)
\"#@F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "ttxx:=convert(%,r
adical);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%ttxxG<$/%\"BG,&#\"#N\"
\"#!\"\"*&^##\"\"(F+\"\"\"F0#F1F+F1/%\"AG,&F/F1F-F1" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 20 "evala(Normal(ttxx));" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#<$/%\"BG,&#\"#N\"\"#!\"\"*&^##\"\"(F)\"\"\"F.#F/F)F//%
\"AG,&F-F/F+F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "loes1:=\{lambda=1,op(ttxx)\}
;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&loes1G<%/%\"BG,&#\"#N\"\"#!\"
\"*&^##\"\"(F+\"\"\"F0#F1F+F1/%'lambdaGF1/%\"AG,&F/F1F-F1" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "select(
xx->xx<>0,evala(Normal(subs(loes1,cfsbasis2))));" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#7(,&\"\"\"F%%#muGF%,(*&\"+'*4!*H6F%%\"DGF%F%\"+!\\_Z#GF
%*&^#!*)\\]\\cF%\"\"(#F%\"\"#F%,(*&F/F%%\"CGF%F%\"#9!\"\"*&^#!#9F%F/F0
F%,0*&\"+spI4zF%)%\"GG\"\"$F%F%*&\",=`\\59&F%)F>F1F%F%*(^#FAF%FBF%F/F0
F%*&\"-ON,>gpF%F>F%F6*(^#\"-c.19>=F%F>F%F/F0F%\"-)4(z!)4'*F6*&^#!-51Ay
Q`F%F/F0F%,.*&F)F%%\"FGF%F%*&\"+'*4!*H6F%FBF%F6*&\"+ukNWtF%F>F%F6*(^#!
+ukNWtF%F>F%F/F0F%\",[wGJ%**F%*&^#!,3Hs()f#F%F/F0F%,*#\"#\"*F1F6*&^##!
#\"*F1F%F/F0F%*&F/F%%\"EGF%F%*&F/F%F>F%F6" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 30 "solve(\{op(%)\},\{E,F,G,C,D,mu\});" }}{PARA 12 "" 
1 "" {XPPMATH 20 "6$<(/%\"GG,&#\"\"*\"\"#!\"\"*&^##!\"&F)\"\"\"\"\"(#F
/F)F//%\"FG,**$)F&F)F/F/#\"$p%\"\"%F**&^##\"#FF9F/F0F1F/*(^##\"#8F)F/F
&F/F0F1F//%\"EG,&F)F/*&^#F9F/F0F1F//%#muGF*/%\"CG,&F)F/*&^#F)F/F0F1F//
%\"DG,&#\"\"&F)F**&^#F1F/F0F1F/<(/F3,,*$)-%'RootOfG6$,(F=F**$)%#_ZGF)F
/F/*&FDF/FjnF/F//%&labelG%%_L10GF)F/F/*&F@F/FZF/F/*(F?F/FZF/F0F1F/\"#)
)F**&^#\"#BF/F0F1F//FC,(F@F/*&F?F/F0F1F/FZF//F%FZFGFIFN" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "loes11:=%;" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#>%'loes11G6$<(/%\"GG,&#\"\"*\"\"#!\"\"*&^##!\"&F,\"\"\"
\"\"(#F2F,F2/%\"FG,**$)F)F,F2F2#\"$p%\"\"%F-*&^##\"#FF<F2F3F4F2*(^##\"
#8F,F2F)F2F3F4F2/%\"EG,&F,F2*&^#F<F2F3F4F2/%#muGF-/%\"CG,&F,F2*&^#F,F2
F3F4F2/%\"DG,&#\"\"&F,F-*&^#F4F2F3F4F2<(/F6,,*$)-%'RootOfG6$,(F@F-*$)%
#_ZGF,F2F2*&FGF2F]oF2F2/%&labelG%%_L10GF,F2F2*&FCF2FgnF2F2*(FBF2FgnF2F
3F4F2\"#))F-*&^#\"#BF2F3F4F2/FF,(FCF2*&FBF2F3F4F2FgnF2/F(FgnFJFLFQ" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 51 "loesef:=evala(Normal(subs([loes11][1],[e=E,f=F])));
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'loesefG7$/%\"eG,&\"\"#\"\"\"*&^
#\"\"%F*\"\"(#F*F)F*/%\"fG!#F" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "solve(subs(loesef,
\{t1*t2=f,-t1-t2=e\}),\{t1,t2\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<
$/%#t2G-%'RootOfG6$,(\"#F!\"\"*$)%#_ZG\"\"#\"\"\"F0*&,&F/F0*&^#\"\"%F0
\"\"(#F0F/F0F0F.F0F0/%&labelG%%_L12G/%#t1G,(F&F+F/F+*&^#!\"%F0F6F7F0" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "loest12:=%;" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%(loest12G<$/%#t2G-%'RootOfG6$,(\"#F!\"\"*$)%#_
ZG\"\"#\"\"\"F2*&,&F1F2*&^#\"\"%F2\"\"(#F2F1F2F2F0F2F2/%&labelG%%_L12G
/%#t1G,(F(F-F1F-*&^#!\"%F2F8F9F2" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "loesu12:=solve(subs([loes11]
[1],\{u1*u2=D,-u1-u2=C\}),\{u1,u2\});" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%(loesu12G<$/%#u1G,(-%'RootOfG6$,**&\"\"#\"\"\")%#_ZGF.F/F/*&,&\"
\"%F/*&^#F4F/\"\"(#F/F.F/F/F1F/F/*&F7F8^#F/F/F/\"\"&!\"\"/%&labelG%%_L
19GF<F.F<*&^#!\"#F/F7F8F//%#u2GF)" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 49 "eq2a:=xi-lambda1*(eta-d)^3/(eta^3+eta^2-2*eta-1);" 
}}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eq2aG,&%#xiG\"\"\"*(%(lambda1GF',
&%$etaGF'%\"dG!\"\"\"\"$,**$)F+F.F'F'*$)F+\"\"#F'F'*&F4F'F+F'F-F'F-F-F
-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 89 "
relpol1:=numer(evala(Normal(subs(xi=subs(loest12,t1),eq2a))))-mu21*(et
a-AA1)^2*(eta-BB1);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%(relpol1G,D*&
-%'RootOfG6$,(\"#F!\"\"*$)%#_ZG\"\"#\"\"\"F1*&,&F0F1*&^#\"\"%F1\"\"(#F
1F0F1F1F/F1F1/%&labelG%%_L12GF1)%$etaG\"\"$F1F,*&F'F1)F=F0F1F,*(F0F1F'
F1F=F1F1F'F1*&F0F1F<F1F,*&F0F1F@F1F,*&F6F1F=F1F1F0F1F4F1*(^#!\"%F1F7F8
F<F1F1*(^#\"\")F1F7F8F=F1F1*(FFF1F7F8F@F1F1*&%(lambda1GF1F<F1F,**F>F1F
MF1F@F1%\"dGF1F1**F>F1FMF1F=F1)FOF0F1F,*&FMF1)FOF>F1F1*(%%mu21GF1),&F=
F1%$AA1GF,F0F1,&F=F1%$BB1GF,F1F," }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 89 "relpol2
:=numer(evala(Normal(subs(xi=subs(loest12,t2),eq2a))))-mu22*(eta-AA2)^
2*(eta-BB2);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 12 "" 1 "
" {XPPMATH 20 "6#>%(relpol2G,4*&-%'RootOfG6$,(\"#F!\"\"*$)%#_ZG\"\"#\"
\"\"F1*&,&F0F1*&^#\"\"%F1\"\"(#F1F0F1F1F/F1F1/%&labelG%%_L12GF1)%$etaG
\"\"$F1F1*&F'F1)F=F0F1F1*(F0F1F'F1F=F1F,F'F,*&%(lambda1GF1F<F1F,**F>F1
FCF1F@F1%\"dGF1F1**F>F1FCF1F=F1)FEF0F1F,*&FCF1)FEF>F1F1*(%%mu22GF1),&F
=F1%$AA2GF,F0F1,&F=F1%$BB2GF,F1F," }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 77 "cfrel
s2:=[coeffs(collect(relpol1,eta),eta),coeffs(collect(relpol2,eta),eta)
];" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%(cfrels2G7*,,*&^#\"\"%\"\"\"\"
\"(#F*\"\"#F**&%(lambda1GF*)%\"dG\"\"$F*F*-%'RootOfG6$,(\"#F!\"\"*$)%#
_ZGF-F*F**&,&F-F*F'F*F*F;F*F*/%&labelG%%_L12GF**(%%mu21GF*)%$AA1GF-F*%
$BB1GF*F*F-F*,.*(F2F*F/F*)F1F-F*F8F)F**&FBF*FCF*F8**F-F*FBF*FDF*FEF*F8
*&^#\"\")F*F+F,F**&F-F*F3F*F*,,*&^#!\"%F*F+F,F*F3F8F/F8F-F8FBF8,.F-F8*
(F2F*F/F*F1F*F*F3F8FPF**(F-F*FBF*FDF*F**&FBF*FEF*F*,(*(%%mu22GF*)%$AA2
GF-F*%$BB2GF*F*F3F8F.F*,**&FYF*FZF*F8**F-F*FYF*FenF*FfnF*F8*&F-F*F3F*F
8*(F2F*F/F*FHF*F8,(F3F*F/F8FYF8,*F3F**(F2F*F/F*F1F*F**(F-F*FYF*FenF*F*
*&FYF*FfnF*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 64 "gbasis(cfrels2,lexdeg([AA1,AA2,BB1,BB2,mu21,mu22],[
lambda1,d]));" }}{PARA 7 "" 1 "" {TEXT -1 33 "Warning, computation int
errupted\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 37 "cfrels2a:=subs(I=zz/sqrt(7),cfrels2);" }}{PARA 12 "" 
1 "" {XPPMATH 20 "6#>%)cfrels2aG7*,,*&\"\"%\"\"\"%#zzGF)F)*&%(lambda1G
F))%\"dG\"\"$F)F)-%'RootOfG6$,(\"#F!\"\"*$)%#_ZG\"\"#F)F)*&,&F9F)*&F(F
)F*F)F)F)F8F)F)/%&labelG%%_L12GF)*(%%mu21GF))%$AA1GF9F)%$BB1GF)F)F9F),
.*(F/F)F,F))F.F9F)F5F(F)*&FAF)FBF)F5**F9F)FAF)FCF)FDF)F5*&\"\")F)F*F)F
)*&F9F)F0F)F),,*&F(F)F*F)F5F0F5F,F5F9F5FAF5,.F9F5*(F/F)F,F)F.F)F)F0F5*
&F(F)F*F)F5*(F9F)FAF)FCF)F)*&FAF)FDF)F),(*(%%mu22GF))%$AA2GF9F)%$BB2GF
)F)F0F5F+F),**&FVF)FWF)F5**F9F)FVF)FXF)FYF)F5*&F9F)F0F)F5*(F/F)F,F)FGF
)F5,(F0F)F,F5FVF5,*F0F)*(F/F)F,F)F.F)F)*(F9F)FVF)FXF)F)*&FVF)FYF)F)" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "cfrels2b:=subs(RootOf(-27+
_Z^2+(2+4*zz)*_Z,label = _L12)=ww,cfrels2a);" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#>%)cfrels2bG7*,,*&\"\"%\"\"\"%#zzGF)F)*&%(lambda1GF))%
\"dG\"\"$F)F)%#wwGF)*(%%mu21GF))%$AA1G\"\"#F)%$BB1GF)F)F5F),.*(F/F)F,F
))F.F5F)!\"\"F(F)*&F2F)F3F)F:**F5F)F2F)F4F)F6F)F:*&\"\")F)F*F)F)*&F5F)
F0F)F),,*&F(F)F*F)F:F0F:F,F:F5F:F2F:,.F5F:*(F/F)F,F)F.F)F)F0F:*&F(F)F*
F)F:*(F5F)F2F)F4F)F)*&F2F)F6F)F),(*(%%mu22GF))%$AA2GF5F)%$BB2GF)F)F0F:
F+F),**&FIF)FJF)F:**F5F)FIF)FKF)FLF)F:*&F5F)F0F)F:*(F/F)F,F)F9F)F:,(F0
F)F,F:FIF:,*F0F)*(F/F)F,F)F.F)F)*(F5F)FIF)FKF)F)*&FIF)FLF)F)" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 52 "cfrels2c:=[op(cfrels2b),zz^2+7,ww^2+(2+4*zz)*ww-27]
;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%)cfrels2cG7,,,*&\"\"%\"\"\"%#zz
GF)F)*&%(lambda1GF))%\"dG\"\"$F)F)%#wwGF)*(%%mu21GF))%$AA1G\"\"#F)%$BB
1GF)F)F5F),.*(F/F)F,F))F.F5F)!\"\"F(F)*&F2F)F3F)F:**F5F)F2F)F4F)F6F)F:
*&\"\")F)F*F)F)*&F5F)F0F)F),,*&F(F)F*F)F:F0F:F,F:F5F:F2F:,.F5F:*(F/F)F
,F)F.F)F)F0F:*&F(F)F*F)F:*(F5F)F2F)F4F)F)*&F2F)F6F)F),(*(%%mu22GF))%$A
A2GF5F)%$BB2GF)F)F0F:F+F),**&FIF)FJF)F:**F5F)FIF)FKF)FLF)F:*&F5F)F0F)F
:*(F/F)F,F)F9F)F:,(F0F)F,F:FIF:,*F0F)*(F/F)F,F)F.F)F)*(F5F)FIF)FKF)F)*
&FIF)FLF)F),&*$)F*F5F)F)\"\"(F),(*$)F0F5F)F)*&,&F5F)*&F(F)F*F)F)F)F0F)
F)\"#FF:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 65 "gbasis(cfrels2c,tdeg(AA1,BB1,AA2,BB2,mu21,mu22,d,lamb
da1,zz,ww));" }}{PARA 7 "" 1 "" {TEXT -1 33 "Warning, computation inte
rrupted\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "save cfrels2c,
 \"cfrels2c-xxx.txt\";" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 1027 "eqld2:=[lambda1^3 + 89831/21866*lambda1^2*zz +
 2265/754*lambda1*d*zz - \n        176535/21866*d^2*zz + 22456/10933*l
ambda1^2 + 3/13*lambda1*d - \n        285383/21866*d^2 + 22/29*lambda1
*zz - 146605/21866*d*zz - 44*lambda1 - \n        833/841*d - 55241/168
2*zz + 114044/10933,\n    lambda1^2*d + 55/29*lambda1*d*zz + 97/58*d^2
*zz + 127/58*lambda1^2 + \n        55/58*lambda1*d - 679/58*d^2 + 182/
29*lambda1*zz + 14/29*d*zz + \n        91/29*lambda1 - 875/58*d - 195/
29*zz - 2219/58,\n    lambda1*d^2 - 1/10933*lambda1^2*zz - 105/21866*d
^2*zz + 1/21866*lambda1^2 + \n        643/754*lambda1*d - 49/21866*d^2
 + 761/10933*d*zz - 2/29*lambda1 + \n        805/21866*d - 10807/10933
*zz - 10885/21866,\n    d^3 + 23/754*lambda1^2*zz - 495/3016*lambda1*d
*zz + 1/8*d^2*zz + \n        161/754*lambda1^2 + 231/3016*lambda1*d - \+
505/3016*d^2 + \n        135/232*lambda1*zz + 1123/1508*d*zz - 63/232*
lambda1 + 1093/1508*d - \n        3689/3016*zz - 6215/3016,\n    ww^3 \+
+ 4*ww^2 + 108*zz + 89*ww - 54,\n    zz^2 + 7,\n    zz*ww + 1/4*ww^2 +
 1/2*ww - 27/4\n]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "solve
(\{op(eqld2)\},\{lambda1,d,ww,zz\});" }}{PARA 12 "" 1 "" {XPPMATH 20 "
6&<&/%\"dG,*#\"\"*\"#;!\"\"*&#\"\"\"\"$;#F-*$)-%'RootOfG6#,,*&\"#iF-)%
#_ZG\"\"#F-F-*&\"$3\"F-F8F-F**$)F8\"\"%F-F-*&F>F-)F8\"\"$F-F-\"$H(F-F9
F-F-F**&#\"#*)\"$k)F-F1F-F**&#F-FFF-*$)F1FAF-F-F*/%#zzG,**&#F-F;F-FIF-
F**&#F-\"#FF-F/F-F**&#FEF;F-F1F-F*#F-F9F-/%#wwGF1/%(lambda1G,*#\"#BF>F
**&#\"\"&F.F-FIF-F-*&#Fin\"#aF-F/F-F-*&#\"$X%F.F-F1F-F-<&/FYF*FKFV/F%,
*#FinF>F**&#F-F\\oF-F/F-F**&#FEF.F-F1F-F**&#F-F.F-FIF-F*<&FKFV/F%,*#FA
\"\")F-*&#F-F;F-F/F-F**&#F-\"$K%F-FIF-F**&#FEFdpF-F1F-F*/FY,*#F(F>F-*&
#F-F.F-FIF-F-*&#F-F\\oF-F/F-F-*&#FEF.F-F1F-F-<&/FY,:*&#FEF;F-*&F1F--F2
6#,*F;F**&F;F-F@F-F-*&,**&FEF-F1F-F**&F>F-F0F-F*FIF*\"$i\"F-F-F7F-F-*&
,**&FEF-F1F-F**&F>F-F0F-F*FIF*F^rF*F-F8F-F-F-F-F**&#F-F\\oF-*&FJF-)Ffq
F9F-F-F**&#FEF\\oF-*&F1F-FfrF-F-F*F(F**&#F-F;F-*&FJF-FfqF-F-F**&#F-FRF
-*&F0F-FfqF-F-F**&#F9FRF-*&F0F-FfrF-F-F**&#F-FRF-FIF-F-*&#F>FRF-F/F-F-
*&#FEFRF-F1F-F-*$FfrF-F-*&#FRF9F-FfqF-F*FKFV/F%Ffq" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 11 "loes2:=[%]:" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "nops(loes2);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#\"\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
69 "evala(Normal(convert(map((xx,yy)->subs(xx,yy),loes2,[zz]),radical)
));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7&7#*&^#!\"\"\"\"\"\"\"(#F(\"\"
#F$F$F$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 71 "gbasis(
cfrels2c,lexdeg([AA1,BB1,AA2,BB2,mu21,mu22],[ww,zz,d,lambda1]));" }}
{PARA 7 "" 1 "" {TEXT -1 33 "Warning, computation interrupted\n" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 5 "eq2a;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&%#xiG\"\"
\"*(%(lambda1GF%,&%$etaGF%%\"dG!\"\"\"\"$,**$)F)F,F%F%*$)F)\"\"#F%F%*&
F2F%F)F%F+F%F+F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 59 "solve(\{op(cfrels2)\},\{AA1,AA2,BB1,BB2,mu21,mu22,d
,lambda1\});" }}{PARA 7 "" 1 "" {TEXT -1 33 "Warning, computation inte
rrupted\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 40 "subs(xi=solve(eq2a,xi),subs(loes1,eq1));" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#,&%#jjG\"\"\"**,**(%(lambda1G\"\"#,&%$etaG!
\"\"%\"dGF%\"\"',**$)F,\"\"$F%F%*$)F,F*F%F%*&F*F%F,F%F-F%F-!\"#F%**,&#
\"\"(F*F%*&^#F:F%F;#F%F*F%F%F)F%F+F3F0F-F-#\"#NF*F-F<F%F3F)F%F+F3F0F-F
%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "jj-%;" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#,$**,**(%(lambda1G\"\"#,&%$etaG!\"\"%\"dG\"\"\"\"\"'
,**$)F*\"\"$F-F-*$)F*F(F-F-*&F(F-F*F-F+F-F+!\"#F-**,&#\"\"(F(F-*&^#F9F
-F:#F-F(F-F-F'F-F)F2F/F+F+#\"#NF(F+F;F-F2F'F-F)F2F/F+F+" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "jjval:=%;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%&jjvalG,$**,**(%(lambda1G\"\"#,&%$etaG!\"\"%\"dG\"\"
\"\"\"',**$)F,\"\"$F/F/*$)F,F*F/F/*&F*F/F,F/F-F/F-!\"#F/**,&#\"\"(F*F/
*&^#F;F/F<#F/F*F/F/F)F/F+F4F1F-F-#\"#NF*F-F=F/F4F)F/F+F4F1F-F-" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 60 "loes2a:=evala(Normal(subs(I=-I,convert(loes2[2],rad
ical))));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'loes2aG<&/%#zzG*&\"\"(
#\"\"\"\"\"#^#F+F+/%\"dG,&#\"\"$F,!\"\"*&^#F*F+F)F*F+/%(lambda1GF3/%#w
wG,(F+F3*&^#!\"#F+F)F*F+*&F,F+F(F*F+" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 34 "evala(Normal(subs(loes2a,eqld2)));" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#7)\"\"!F$F$F$F$F$F$" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "subs(
loes2a,jjval);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*(,**&,(%$etaG!\"\"#
\"\"$\"\"#F(*&^##\"\"\"F+F/\"\"(F.F/\"\"',**$)F'F*F/F/*$)F'F+F/F/*&F+F
/F'F/F(F/F(!\"#F/*(,&#F0F+F/*&^#F;F/F0F.F/F/F&F*F2F(F/#\"#NF+F(F<F/F*F
&F*F2F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "factor(%);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*2\"&oF$!\"\",(*&\"\"#\"\"\"%$etaGF*
F*\"\"$F**&^#F&F*\"\"(#F*F)F*F,,(*&F)F*F+F*F*F,F**&F/F0^#F*F*F*F,,(*&
\"\"%F*F+F*F*F*F&F-F*F,,(*&\"\"&F*)F+F)F*F**&\"\")F*F+F*F*F*F&F,,&*&F)
F*F+F*F*F,F*F,,(*&F7F*F+F*F*F*F&F3F*F,,**$)F+F,F*F**$F;F*F**&F)F*F+F*F
&F*F&!\"(F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "collect(expa
nd(%),eta);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,N*&\"%G<\"\"\",**$)%$e
taG\"\"$F&F&*$)F*\"\"#F&F&*&F.F&F*F&!\"\"F&F0!\"(F0*(\"([ST*F&F'F1F*\"
\"'F&*(\"('yrDF&F'F1F*\"\"&F&*(\"(/#G6F&F'F1F*\"\"%F&*(\"%+!)F&F'F1F*
\"#@F&*(\"&7$RF&F'F1F*F&F&*(\"'NwDF&F'F1F*F+F&*(\"'G=EF&F'F1F*F.F0*(\"
)o]F&*F&F'F1F*\"#5F&*(\")O0wjF&F'F1F*\"\"*F&*(\")+9(y$F&F'F1F*\"\")F&*
(\")(zX9#F&F'F1F*\"\"(F&*(\"(SM1\"F&F'F1F*\"#>F&*(\"())=A&F&F'F1F*\"#=
F&*(\")[fo<F&F'F1F*\"#<F&*(\"'+W8F&F'F1F*\"#?F&*(\")\"H22)F&F'F1F*\"#:
F&*(\"*OX$e6F&F'F1F*\"#9F&*(\"*#3oW8F&F'F1F*\"#8F&*(\");GdVF&F'F1F*\"#
;F&*(\"*7G;M\"F&F'F1F*\"#7F&*(\"*dlP?\"F&F'F1F*\"#6F&" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "factor(%);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#*,,&*&\"\"#\"\"\"%$etaGF'F'\"\"$F'F),(*&\"\"&F')F(F&F'F
'*&\"\")F'F(F'F'F'!\"\"F),(*&F&F'F-F'F'F(F0F'F'F),(*$F-F'F'*&F)F'F(F'F
'\"\"%F'F),**$)F(F)F'F'F4F'*&F&F'F(F'F0F'F0!\"(" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 37 "evala(Normal(subs(loes2a,cfrels2c)));" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#7,,**&^##!\"\"\"\"#\"\"\"\"\"(#F*F)F*#
F+F)F(*&F)F**&F+F,^#F*F*F,F**(%%mu21GF*)%$AA1GF)F*%$BB1GF*F*,,#F+F)F*F
%F**&F2F*F3F*F(**F)F*F2F*F4F*F5F*F(*&\"\"%F*F/F,F*,(*&^#!\"#F*F+F,F**&
F)F*F/F,F(F2F(,,F7F**&^##!\"(F)F*F+F,F**&F)F*F/F,F(*(F)F*F2F*F4F*F**&F
2F*F5F*F*,**(%%mu22GF*)%$AA2GF)F*%$BB2GF*F*#F+F)F(F%F**&F)F*F/F,F(,,*&
FKF*FLF*F(**F)F*FKF*FMF*FNF*F(F7F*F%F**&F;F*F/F,F(,(F=F**&F)F*F/F,F*FK
F(,,F7F*FBF**&F)F*F/F,F**(F)F*FKF*FMF*F**&FKF*FNF*F*\"\"!Fen" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "solve(\{op(select(xx->xx<>0,
%))\},\{AA1,AA2,BB1,BB2,mu21,mu22\});" }}{PARA 12 "" 1 "" {XPPMATH 20 
"6#<(/%$AA1G*&^##!\"\"\"\")\"\"\",*^#!\"&F+*$\"\"(#F+\"\"#F+*&F0F1*&F0
F1^#F+F+F1F+*&^#\"\"$F+F4F1F+F+/%$AA2G*&^##F+F*F+,*^#\"\"&F+F/F)F3F+F6
F+F+/%$BB2G,$*(\"\"%F),*F0F)*&F-F+F0F1F+*&\"\"'F+F4F1F+*(^#F2F+F0F1F4F
1F+F+,&F4F+*$F4F1F)F)F+/%$BB1G,$*(FEF),*F0F+*&F?F+F0F1F+*&FIF+F4F1F+FJ
F+F+,&FMF+F4F+F)F)/%%mu22G,&*&^#!\"#F+F0F1F+*&F2F+F4F1F+/%%mu21G,&FYF+
*&F2F+F4F1F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "olinf
21:=generateInftyRels(fd21);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<+7$%%
QQQ5G%%QQQ3G7$F%F%7$F&F%7$%%QQQ1GF*7$%%QQQ2GF,7$F&F&7$%%QQQ4GF/7$F/F,7
$F,F/" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%&TABLEG6#7'/%%QQQ3G<$F(%%QQ
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{XPPMATH 20 "6#>%(olinf21G7%7)\"\"'\"#7\"#8\"#9\"#=\"#>\"#@7)\"\"\"\"
\"#\"\"$\"\"&\"\"(\"#6\"#:7)\"\"%\"\")\"\"*\"#5\"#;\"#<\"#?" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "nops(olinf21);" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#\"#6" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 
"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "generateRhoRels(fd7);
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$F,F07$F-F07$F0F07$F'F'7$F(F'" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#-%&TA
BLEG6#7)/%%QQQ2G<$F(%%QQQ4G/%%QQQ5G<%%%QQQ1G%%QQQ3GF,/F*F)/F/F-/%%QQQ8
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{MPLTEXT 1 0 10 "nops(fd7);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"(" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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\"\"\"\"\"#\"\"$\"\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "ht
ilde5 := generateHTilde ( 5 ):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
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1 "" {XPPMATH 20 "6#>%(htilde5G7.7$7$\"\"%\"\"!7$F)F(7$7$F(\"\"$7$\"\"
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}}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#7" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "fundom1
0 := generateFundDomain ( htilde5 );" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6$Q3~nops(frontier)~=~6\"\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~n
ops(frontier)~=~6\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~nops(fr
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{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"\"" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"\"" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"!" }}{PARA 
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generateRhoRels(fundom10);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#<87$%%QQ
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0 "> " 0 "" {MPLTEXT 1 0 8 "ol10:=%:" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 11 "nops(ol10);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"%
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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=~6\"\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"
\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"&
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"&" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"&" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"&" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"&" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"&" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"&" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"%" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"%" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"#" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"!" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#>%)fundom21G777$7$7$\"\"\"\"\"!7$F*F)7%!\"#!\"$!\"%7$7$
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&7$7$7$F5F5F(7%\"\"'!#9\"\"$7$7$F?F27%!#:F/FZ7$7$F?F97%F/!#;\"#77$7$7$
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EFao7%F[rFhoFfq" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "nops(fundom21);" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#\"#@" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "ol21:=generateRhoRel
s ( fundom21 );" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#<H7$%%QQQ1GF%7$%%QQ
Q2GF'7$%%QQQ3GF)7$%%QQQ6G%%QQQ9G7$F,F+7$%%QQQ4GF/7$%&QQQ14G%&QQQ13G7$%
&QQQ15G%&QQQ17G7$%%QQQ7GF77$%%QQQ5GF+7$F7%&QQQ12G7$F4%&QQQ16G7$F;F77$F
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F9F97$F2F=7$F,F,7$F2F17$F+F+7$F)F/7$FBF,7$F+F97$F4F47$FFFF7$FBF97$F;F;
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#73/%&QQQ17G<'%&QQQ13GF(%&QQQ16G%&QQQ14G%&QQQ15G/F*F)/%%QQQ3G<$F0%%QQQ
4G/%%QQQ7G<$F4%&QQQ12G/%%QQQ2G<#F8/F2F1/%%QQQ1G<#F</%&QQQ11G<$F?%&QQQ1
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0 "> " 0 "" {MPLTEXT 1 0 11 "nops(ol21);" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#\"\"(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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in7:=generateFundDomain(resa0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~
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#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"\"" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"!" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%)fdomain7G7)-%'RTABLEG6%\"*G8$)Q\"-%'MATRI
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "?select" }}}{EXCHG {PARA 0 ">
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"transClosure(\{[1,2],[3,4],[4,5],[5,2]\});" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#-%&TABLEG6#7'/\"\"\"<#\"\"#/F*<\"/\"\"$<%F*\"\"%\"\"&/F
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{XPPMATH 20 "6#%)applymatG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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11 "" 1 "" {XPPMATH 20 "6#7-\"\"!\"\"\"\"\"#\"\"$\"\"%\"\"&\"\"'\"\"(
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "htilde11:=generateHTilde ( 1
1 ):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "htilde11a:=select(x
x->mdet(xx)=1,htilde11);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%*htilde1
1aG7:7$7$\"\"\"\"\"!7$F)F(7$7$\"\"'\"\"*7$\"#5F-7$7$F)\"\")7$\"\"%F)7$
7$\"\"(F07$F-F57$7$F8F(7$\"\"&F57$7$F)\"\"$7$F8F)7$7$F3F57$\"\"#F37$7$
F(FE7$F0F07$7$F3F37$F8F@7$7$F3F@7$F5F@7$7$F3F87$F.F37$7$F(F.7$F(F07$7$
F@F57$FEF@7$7$F0F)7$F)F07$7$F0FE7$F0F(7$7$F@F37$F8F37$7$F@F@7$F5F37$7$
F@F87$F.F@7$7$F0F.7$F(F(7$7$F=F.7$F0F=7$7$F-FE7$F(F-7$7$F5F07$F-F87$7$
F5F(7$F=F87$7$F=FE7$F(F=" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "nops(htilde11a);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#C" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 40 "fundom55:=generateFundDomain(htilde11a);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"!" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"#" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"#" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"#" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"%" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"&" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"'" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"(" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\")" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\")" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"#5" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"#5" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"#6" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"#5" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\")" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\")" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\")" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\")" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\")" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\")" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\")" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\")" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"#5" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\")" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\")" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"(" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"(" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"'" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"'" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"'" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"&" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"&" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"&" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"%" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"#" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$Q3~nops(frontier)~=~6\"\"\"!" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#>%)fundom55G7Y7$7$7$\"\"\"\"\"!7$F*F)7%!\"#!\"$!\"%7$7$
7$F)F)F+7%!\"&!\"\"\"\"#7$7$7$F)F5F+7%F5!\"'\"\"$7$7$7$F*F5F(7%!\"(!\"
)F)7$7$7$F)F6F+7%!\"*F-\"\")7$7$7$F)F-F+7%F.!#5\"\"(7$7$F?F27%!#6F/\"
\"'7$7$F?F97%F/!#7\"\"&7$7$7$F)F<F+7%!#8F4!#97$7$7$F)F.F+7%F;!#:!#;7$7
$F?FE7%!#<FA!#=7$7$F?FK7%FB!#>!#?7$7$7$F)\"\"%F+7%!#@FG!#A7$7$7$F<F5F(
7%\"#?!#B\"\"*7$7$7$F)F/F+7%FM!#C!#D7$7$7$F.F5F(7%!#E\"#=\"#57$7$F?Fen
7%!#FFR!#G7$7$7$F5F*7$F6F57%\"#;!#H\"#67$7$F?F[o7%FW!#I!#J7$7$F[r7$F-F
57%\"#H\"#9\"#77$7$7$F)FXF+7%\"#CFgnFas7$7$7$F\\pF5F(7%!#K\"#D\"#87$7$
7$F<F/F97%Fhn!#L\"#K7$7$7$F)F4F+7%F]o\"#@Fct7$7$7$F/F5F(7%\"#A!#M\"#:7
$7$7$F.F/F27%!#NF^oFit7$7$F?F[p7%!#OFbo\"#F7$7$F[rFbp7%!#P!#Q\"#<7$7$7
$F5F)7$F6F.7%FcoFdp\"#P7$7$F?Fip7%Fgo!#R\"#I7$7$F[rF_q7%!#SF`v\"#>7$7$
7$F\\pF<F27%!#TF_pFep7$7$7$F<FAFK7%Fep!#U!#V7$7$7$F/F<F97%F\\q!#W\"#E7
$7$7$F.FAFE7%!#XFaq!#Y7$7$F?F_s7%\"#RFgq\"#Q7$7$7$F5F57$F<F67%\"#JFhqF
_r7$7$F]vF[t7%Fhq!#Z\"#O7$7$F?Fat7%FdrFay\"#S7$7$FixF]u7%!#[FerFex7$7$
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\"#L7$7$7$F/FNFK7%Fit\"#Y\"#W7$7$7$F.FMFen7%\"#UF_u!#^7$7$7$FAF<F\\r7%
Fa[l!#_\"#N7$7$7$F5F6Fbw7%Fiu\"#\\\"#[7$7$7$F5F-F^x7%\"#^Fiv\"#Z7$7$7$
FMF.F_q7%Fi\\l!#`Ff[l7$7$7$FAFM7$F-F.7%!#aFewF^]l7$7$7$FMF<Fbp7%!#bFc
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Fbo7$F-F47%\"#_FjzF^^l7$7$7$FMFAFjx7%\"#`Fg[lF\\\\l" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "olinf55:=generateI
nftyRels(fundom55);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#<H7$%%QQQ8GF%7$
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F<FB7$F'F%" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#-%&TABLEG6#70/%%QQQ6G<&%
%QQQ3G%%QQQ4G%%QQQ5GF(/%%QQQ8G<&%&QQQ11G%&QQQ12G%%QQQ7GF./%%QQQ1G<#F4/
F*F)/F,F)/%&QQQ14G<&%%QQQ9G%&QQQ10G%&QQQ13GF9/F+F)/F;F:/F1F//F=F:/F2F/
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'7-\"\"%\"\"(\"\")\"#6\"#7\"#<\"#>\"#F\"#I\"#O\"#R7-\"\"\"\"\"#\"\"$\"
\"&\"\"'\"\"*\"#5\"#8\"#:\"#@\"#C7-\"#A\"#D\"#K\"#M\"#T\"#V\"#W\"#Y\"#
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\"#Q\"#S\"#Z\"#[\"#\\\"#^\"#`\"#b" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "oli55:=generateIRels(fundom5
5);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#<S7$%&QQQ38GF%7$%&QQQ52GF'7$%&Q
QQ31GF)7$%&QQQ46GF+7$%&QQQ37GF-7$%&QQQ28GF/7$%&QQQ36GF17$%&QQQ43G%&QQQ
42G7$%&QQQ39GF67$%&QQQ51GF87$%&QQQ18GF:7$%&QQQ29GF<7$%&QQQ44GF>7$%&QQQ
47GF@7$%&QQQ32GFB7$%&QQQ19GFD7$%&QQQ53GFF7$%&QQQ27GFH7$%&QQQ20GFJ7$F8%
&QQQ50G7$%&QQQ33GFN7$FN%&QQQ34G7$%&QQQ48GFR7$%&QQQ40GFT7$%&QQQ21GFV7$F
V%&QQQ22G7$%&QQQ49GFZ7$%&QQQ54GFfn7$%&QQQ35GFhn7$%&QQQ23GFjn7$F>%&QQQ4
5G7$%&QQQ41GF^o7$Fjn%&QQQ24G7$F4F47$F`oF`o7$FPFP7$F4F37$FPFN7$F`oFjn7$
FLFL7$FXFX7$FXFV7$FLF87$%&QQQ30GF\\p7$F3F37$F\\oF\\o7$%&QQQ25GF`p7$%&Q
QQ26GFbp7$F\\oF>" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#-%&TABLEG6#7G/%&QQ
Q47G<#F(/%&QQQ53G<#F+/%&QQQ18G<#F./%&QQQ51G<$%&QQQ50GF1/%&QQQ40G<#F5/%
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<#F\\o/%&QQQ35G<#F_o/FGFF/%&QQQ32G<#Fco/%&QQQ46G<#Ffo/FSFR/%&QQQ41G<#F
jo/%&QQQ54G<#F]p/%&QQQ20G<#F`p/%&QQQ28G<#Fcp/%&QQQ52G<#Ffp/%&QQQ30G<#F
ip/%&QQQ37G<#F\\q/FCFB/FKFJ/%&QQQ38G<#Faq/%&QQQ49G<#Fdq/%&QQQ39G<#Fgq/
F3F2" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&oli55G7A7$\"\"&\"\")7$\"#X
\"#^7#\"#a7$\"#B\"#K7$\"#R\"#S7$\"#N\"#Y7$\"\"'\"\"(7$\"#:\"#D7$\"\"*
\"#97$\"#5\"#;7$\"#H\"#P7$\"#]\"#`7$\"#<\"#G7#\"#T7#\"#F7$\"#7\"#?7$\"
#E\"#M7$\"#O\"#Q7#\"#I7$\"\"\"\"\"%7$\"#8\"#A7$\"#U\"#\\7$\"#>\"#J7#\"
\"#7$\"#_\"#b7$\"#6\"#=7#\"\"$7$\"#Z\"#[7$\"#@\"#C7#\"#W7$\"#L\"#V" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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1 "" {XPPMATH 20 "6#7:7$\"\"&\"\")7$\"#X\"#^7$\"#B\"#K7$\"#R\"#S7$\"#N
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "nops(%);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#\"#C" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
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\"#b" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 47 "save fundom10, fundom21, fundom55, \"fdoms.
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0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 35 "ol55:=generateRhoRels ( fundom55 );" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#<io7$%&QQQ17GF%7$%&QQQ33GF'7$%&QQQ38G%
&QQQ37G7$%%QQQ1GF,7$%&QQQ28G%&QQQ30G7$%&QQQ23G%&QQQ32G7$%&QQQ40G%&QQQ4
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%&QQQ18G%&QQQ20G7$F4%&QQQ39G7$FBFB7$%%QQQ5GFH7$%&QQQ22G%&QQQ21G7$%%QQQ
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"" {XPPMATH 20 "6#-%&TABLEG6#7H/%&QQQ17G<$F(%&QQQ24G/%%QQQ3G<$F,%%QQQ1
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G<#F]o/FBFA/%&QQQ12G<$%&QQQ19GFao/FhnFgn/F=F</%&QQQ35G<$%&QQQ27GFgo/Fc
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{XPPMATH 20 "6#>%%ol55G<5<$%&QQQ23G%&QQQ32G<#%&QQQ11G<$%&QQQ18G%&QQQ20
G<$%&QQQ21G%&QQQ22G<%%&QQQ41G%&QQQ40G%&QQQ39G<&%&QQQ34G%&QQQ37G%&QQQ38
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{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 11 "nops(ol55);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#>" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "?subset" }}}{EXCHG {PARA 0 
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0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "
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{PAGENUMBERS 0 1 2 33 1 1 }