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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "restart:\n" }
{MPLTEXT 1 0 20 "with(LinearAlgebra):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT
 243 129 "1. gl_2 case: Loading the general spectral curve. The times \+
are (s12, s22,s11,s21, X1) and monodromies are (s10,s20, sX10, sX20)."
 }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "CoherenceEquation:=sX10+
sX20+s10+s20;" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 8 "sX20:=-(" }
{MPLTEXT 1 0 14 "sX10+s10+s20);" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 1 
"\n" }{MPLTEXT 1 0 58 "R1:=unapply((-s10-s20)/(xi-X1)-s11-s21+(-s12-s2
2)*xi,xi):\n" }{MPLTEXT 1 0 106 "R2:=unapply(sX10*(-s10-s20-sX10)/(xi-
X1)^2+s10*s22+s11*s21+s12*s20+(s11*s22+s12*s21)*xi+s12*s22*xi^2,xi);\n
" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 16 "Spectral
CurveGl2" }{MPLTEXT 1 0 4 " := " }{MPLTEXT 1 0 8 "unapply(" }{MPLTEXT 
1 0 1048 "((-s12*s22*lambda^2+((-s21-y)*s12-s22*(s11+y))*lambda+s12*s2
2*q^2+((s21+p)*s12+s22*(p+s11))*q+(p-y)*(p+s21+s11+y))*X1^3+(2*s22*lam
bda^3*s12+(q*s12*s22+(2*s21+2*y)*s12+2*s22*(s11+y))*lambda^2+(-s12*s22
*q^2-(s12+s22)*(p-y)*q+s12*s20+s10*s22-p^2+(-s11-s21)*p+2*y^2+(2*s11+2
*s21)*y+s11*s21)*lambda-2*s12*s22*q^3+((-2*s21-2*p)*s12-2*s22*(p+s11))
*q^2+(-s12*s20-s10*s22-2*p^2+(-2*s11-2*s21)*p+y^2+(s21+s11)*y-s11*s21)
*q+(sX10+sX20)*(p-y))*X1^2+(-s12*s22*lambda^4+(-2*q*s12*s22+(-s21-y)*s
12-s22*(s11+y))*lambda^3+(((-2*s21-2*y)*s12-2*s22*(s11+y))*q-s12*s20-s
10*s22-(s11+y)*(s21+y))*lambda^2+(2*s12*s22*q^3+((2*s21+2*p)*s12+2*s22
*(p+s11))*q^2+(2*(p-y))*(p+s21+s11+y)*q-(sX10+sX20)*(p-y))*lambda+q*(s
12*s22*q^3+((s21+p)*s12+s22*(p+s11))*q^2+(s12*s20+s10*s22+(p+s11)*(s21
+p))*q-(sX10+sX20)*(p-y)))*X1+lambda^4*q*s12*s22+q*((s21+y)*s12+s22*(s
11+y))*lambda^3+q*(s12*s20+s10*s22+(s11+y)*(s21+y))*lambda^2+(-q^4*s12
*s22+((-s21-p)*s12-s22*(p+s11))*q^3+(-s12*s20-s10*s22-(p+s11)*(s21+p))
*q^2+(sX10+sX20)*(p-y)*q-sX10*sX20)*lambda+q*sX10*sX20)/((lambda-X1)^2
*(q-X1))" }{MPLTEXT 1 0 2 ",\n" }{MPLTEXT 1 0 46 "lambda,y,q,p,s12,s22
,s11,s21,X1,s10,s20,sX10);" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I2Coheren
ceEquationG6\",*I%sX10GF$\"\"\"I%sX20GF$F'I$s10GF$F'I$s20GF$F'" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I%sX20G6\",(I%sX10GF$!\"\"I$s10GF$F'I$s
20GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I#R2G6\"f*6#I#xiGF$F$6$I)ope
ratorGF$I&arrowGF$F$,.*(I%sX10GF$\"\"\",(F-!\"\"I$s10GF$F0I$s20GF$F0F.
,&9$F.I#X1GF$F0!\"#F.*&F1F.I$s22GF$F.F.*&I$s11GF$F.I$s21GF$F.F.*&I$s12
GF$F.F2F.F.*&,&*&F:F.F8F.F.*&F=F.F;F.F.F.F4F.F.*(F=F.F8F.F4\"\"#F.F$F$
F$" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I1SpectralCurveGl2G6\"f*6.I'lambd
aGF$I\"yGF$I\"qGF$I\"pGF$I$s12GF$I$s22GF$I$s11GF$I$s21GF$I#X1GF$I$s10G
F$I$s20GF$I%sX10GF$F$6$I)operatorGF$I&arrowGF$F$*(,2*&,,*(9(\"\"\"9)F<
9$\"\"#!\"\"*&,&*&,&9+F@9%F@F<F;F<F<*&F=F<,&9*F<FFF<F<F@F<F>F<F<*(F;F<
F=F<9&F?F<*&,&*&,&FEF<9'F<F<F;F<F<*&F=F<,&FPF<FIF<F<F<F<FKF<F<*&,&FPF<
FFF@F<,*FPF<FEF<FIF<FFF<F<F<F<9,\"\"$F<*&,0*(F=F<F>FWF;F<F?*&,(*(FKF<F
;F<F=F<F<*&,&FEF?FFF?F<F;F<F<FGF?F<F>F?F<*&,4FJF@*(,&F;F<F=F<F<FTF<FKF
<F@*&F;F<9.F<F<*&9-F<F=F<F<*$FPF?F@*&,&FIF@FEF@F<FPF<F<*$FFF?F?*&,&FIF
?FEF?F<FFF<F<*&FIF<FEF<F<F<F>F<F<*(F;F<F=F<FKFW!\"#*&,&*&,&FEFjoFPFjoF
<F;F<F<FQFjoF<FKF?F<*&,0F^oF@F`oF@FboFjo*&,&FIFjoFEFjoF<FPF<F<FeoF<*&,
&FEF<FIF<F<FFF<F<FhoF@F<FKF<F<*&,&FaoF@F_oF@F<FTF<F<F<FVF?F<*&,,*(F;F<
F=F<F>\"\"%F@*&,(FgnFjoFCF<FGF@F<F>FWF<*&,**&,&*&,&FEFjoFFFjoF<F;F<F<F
GFjoF<FKF<F<F^oF@F`oF@*&FHF<,&FEF<FFF<F<F@F<F>F?F<*&,*FioF?*&,&*&,&FEF
?FPF?F<F;F<F<FQF?F<FKF?F<*(FTF<FUF<FKF<F?FepF@F<F>F<F<*&FKF<,*FioF<*&F
MF<FKF?F<*&,(F^oF<F`oF<*&FRF<FOF<F<F<FKF<F<FepF@F<F<F<FVF<F<**F>FjpFKF
<F;F<F=F<F<*(FKF<,&*&FdqF<F;F<F<FGF<F<F>FWF<*(FKF<,(F^oF<F`oF<FcqF<F<F
>F?F<*&,,*(FKFjpF;F<F=F<F@*&,&*&,&FEF@FPF@F<F;F<F<FQF@F<FKFWF<*&,(F^oF
@F`oF@FarF@F<FKF?F<*(FfpF<FTF<FKF<F<*&9/F<,(FcsF@FaoF@F_oF@F<F@F<F>F<F
<*(FKF<FcsF<FdsF<F<F<,&F>F<FVF@Fjo,&FKF<FVF@F@F$F$F$" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 128 "simplify(SpectralCurveGl2(xi,Y,Q,P,s12,s
22,s11,s21,X1,s10,s20,sX10)-(Y^2-R1(xi)*Y+R2(xi)-(Q-X1)/(xi-X1)*(P^2-R
1(Q)*P+R2(Q)) ));\n" }{MPLTEXT 1 0 17 "simplify(residue(" }{MPLTEXT 1 
0 90 "simplify((xi-X1)^2*SpectralCurveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,
s10,s20,sX10)   ),xi=X1));" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 143 "Co
effpolytopexi2Y2:=simplify(-residue(residue((xi-X1)^2*SpectralCurveGl2
(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)/Y^3,Y=0)/xi^3,xi=infinity))
;" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 46 "Coeffpolytopexi1Y2:=simplify
(-residue(residue(" }{MPLTEXT 1 0 10 "(xi-X1)^2*" }{MPLTEXT 1 0 87 "Sp
ectralCurveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)/Y^3,Y=0)/xi^2
,xi=infinity));" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 46 "Coeffpolytopex
i0Y2:=simplify(-residue(residue(" }{MPLTEXT 1 0 10 "(xi-X1)^2*" }
{MPLTEXT 1 0 88 "SpectralCurveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,
sX10)/Y^3,Y=0)/xi^1,xi=infinity));\n" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 
1 0 143 "Coeffpolytopexi4Y1:=simplify(-residue(residue((xi-X1)^2*Spect
ralCurveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)/Y^2,Y=0)/xi^5,xi
=infinity));" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 143 "Coeffpolytopexi3
Y1:=simplify(-residue(residue((xi-X1)^2*SpectralCurveGl2(xi,Y,Q,P,s12,
s22,s11,s21,X1,s10,s20,sX10)/Y^2,Y=0)/xi^4,xi=infinity));" }{MPLTEXT 
1 0 1 "\n" }{MPLTEXT 1 0 56 "Coeffpolytopexi2Y1:=simplify(-residue(res
idue((xi-X1)^2*" }{MPLTEXT 1 0 87 "SpectralCurveGl2(xi,Y,Q,P,s12,s22,s
11,s21,X1,s10,s20,sX10)/Y^2,Y=0)/xi^3,xi=infinity));" }{MPLTEXT 1 0 1 
"\n" }{MPLTEXT 1 0 46 "Coeffpolytopexi1Y1:=simplify(-residue(residue("
 }{MPLTEXT 1 0 10 "(xi-X1)^2*" }{MPLTEXT 1 0 88 "SpectralCurveGl2(xi,Y
,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)/Y^2,Y=0)/xi^2,xi=infinity));\n" 
}{MPLTEXT 1 0 46 "Coeffpolytopexi0Y1:=simplify(-residue(residue(" }
{MPLTEXT 1 0 10 "(xi-X1)^2*" }{MPLTEXT 1 0 88 "SpectralCurveGl2(xi,Y,Q
,P,s12,s22,s11,s21,X1,s10,s20,sX10)/Y^2,Y=0)/xi^1,xi=infinity));\n" }
{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 142 "Coeffpolytopexi0Y0:=simplify(-r
esidue(residue((xi-X1)^2*SpectralCurveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,
s10,s20,sX10)/Y,Y=0)/xi^1,xi=infinity));\n" }{MPLTEXT 1 0 142 "Coeffpo
lytopexi1Y0:=simplify(-residue(residue((xi-X1)^2*SpectralCurveGl2(xi,Y
,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)/Y,Y=0)/xi^2,xi=infinity));\n" }
{MPLTEXT 1 0 142 "Coeffpolytopexi2Y0:=simplify(-residue(residue((xi-X1
)^2*SpectralCurveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)/Y,Y=0)/
xi^3,xi=infinity));\n" }{MPLTEXT 1 0 142 "Coeffpolytopexi3Y0:=simplify
(-residue(residue((xi-X1)^2*SpectralCurveGl2(xi,Y,Q,P,s12,s22,s11,s21,
X1,s10,s20,sX10)/Y,Y=0)/xi^4,xi=infinity));\n" }{MPLTEXT 1 0 142 "Coef
fpolytopexi4Y0:=simplify(-residue(residue((xi-X1)^2*SpectralCurveGl2(x
i,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)/Y,Y=0)/xi^5,xi=infinity));\n"
 }{MPLTEXT 1 0 141 "Coeffpolytopexi5Y0:=simplify(-residue(residue((xi-
X1)^2*SpectralCurveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)/Y,Y=0
)/xi^6,xi=infinity));" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 
11 "" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coef
fpolytopexi2Y2G6\"\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpoly
topexi1Y2G6\",$I#X1GF$!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpo
lytopexi0Y2G6\"*$I#X1GF$\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coef
fpolytopexi4Y1G6\"\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolyt
opexi3Y1G6\",&I$s12GF$\"\"\"I$s22GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20
 ">I3Coeffpolytopexi2Y1G6\",(*&,&I$s12GF$!\"#I$s22GF$F)\"\"\"I#X1GF$F+
F+I$s11GF$F+I$s21GF$F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolyto
pexi1Y1G6\",**&,&I$s12GF$\"\"\"I$s22GF$F)F)I#X1GF$\"\"#F)*&,&I$s11GF$!
\"#I$s21GF$F0F)F+F)F)I$s10GF$F)I$s20GF$F)" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I3Coeffpolytopexi0Y1G6\"*&I#X1GF$\"\"\",(*&,&I$s21GF$F'I
$s11GF$F'F'F&F'F'I$s10GF$!\"\"I$s20GF$F.F'" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I3Coeffpolytopexi0Y0G6\"*&,**&,(*(I$s12GF$\"\"\"I$s22GF$
F+I\"QGF$\"\"#F+*&,(*&,&F*F+F,F+F+I\"PGF$F+F+*&F,F+I$s11GF$F+F+*&F*F+I
$s21GF$F+F+F+F-F+F+*&F3F+,(F3F+F5F+F7F+F+F+F+I#X1GF$\"\"$F+*&,**(F*F+F
,F+F-F;!\"#*&,(*&,&F*F?F,F?F+F3F+F+F4F?F6F?F+F-F.F+*&,,*$F3F.F?*&,&F5F
?F7F?F+F3F+F+*&I$s10GF$F+F,F+!\"\"*&F5F+F7F+FK*&F*F+I$s20GF$F+FKF+F-F+
F+*&F3F+,&FJF+FNF+F+FKF+F:F.F+*(F-F+,*F>F+*&F0F+F-F.F+*&,,FFF+*&,&F7F+
F5F+F+F3F+F+FIF+FLF+FMF+F+F-F+F+FOF+F+F:F+F+*(I%sX10GF$F+F-F+,(FYF+FJF
+FNF+F+FKF+,&F-F+F:FKFK" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolyt
opexi1Y0G6\"*&,2*(I\"QGF$\"\"%I$s12GF$\"\"\"I$s22GF$F+!\"\"*&,**(F*F+F
,F+I#X1GF$F+\"\"#*&,&F*F-F,F-F+I\"PGF$F+F+*&F,F+I$s11GF$F+F-*&F*F+I$s2
1GF$F+F-F+F(\"\"$F+*&,0*(F1F2F*F+F,F+F-*&,(*&,&F*F2F,F2F+F5F+F+F6F2F8F
2F+F1F+F+*$F5F2F-*&,&F7F-F9F-F+F5F+F+*&I$s10GF$F+F,F+F-*&F7F+F9F+F-*&F
*F+I$s20GF$F+F-F+F(F2F+*(,**&,&F*#F-F2F,FNF+F1F2F+*&,(F5F+F7F+F9F+F+F1
F+F+FFFNFIFNF+F5F+F(F+F2*&,&*&F7F+F,F+F-F8F-F+F1F:F+*&,,FBF-FCF+FEF+FG
F+FHF+F+F1F2F+*(F5F+,&FFF+FIF+F+F1F+F+*&I%sX10GF$F+,(FYF+FFF+FIF+F+F+F
+,&F(F+F1F-F-" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi2Y0G6
\",(*&,(*&I#X1GF$\"\"#I$s22GF$\"\"\"F,*&F)F,I$s21GF$F,!\"#I$s20GF$F,F,
I$s12GF$F,F,*&,&*&F)F,I$s11GF$F,F/I$s10GF$F,F,F+F,F,*&F5F,F.F,F," }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi3Y0G6\",&*&,&*&I#X1GF$
\"\"\"I$s22GF$F*!\"#I$s21GF$F*F*I$s12GF$F*F**&F+F*I$s11GF$F*F*" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi4Y0G6\"*&I$s12GF$\"\"
\"I$s22GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi5Y0G6
\"\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "sX10:=0:" }
{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 108 "simplify(residue(simplify((xi-X
1)^2*SpectralCurveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)   ),xi
=X1));\n" }{MPLTEXT 1 0 142 "Coeffpolytopexi2Y2:=simplify(-residue(res
idue((xi-X1)*SpectralCurveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10
)/Y^3,Y=0)/xi^3,xi=infinity));\n" }{MPLTEXT 1 0 142 "Coeffpolytopexi1Y
2:=simplify(-residue(residue((xi-X1)*SpectralCurveGl2(xi,Y,Q,P,s12,s22
,s11,s21,X1,s10,s20,sX10)/Y^3,Y=0)/xi^2,xi=infinity));\n" }{MPLTEXT 1 
0 142 "Coeffpolytopexi0Y2:=simplify(-residue(residue((xi-X1)*SpectralC
urveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)/Y^3,Y=0)/xi^1,xi=inf
inity));\n" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 142 "Coeffpolytopexi4Y1
:=simplify(-residue(residue((xi-X1)*SpectralCurveGl2(xi,Y,Q,P,s12,s22,
s11,s21,X1,s10,s20,sX10)/Y^2,Y=0)/xi^5,xi=infinity));\n" }{MPLTEXT 1 
0 142 "Coeffpolytopexi3Y1:=simplify(-residue(residue((xi-X1)*SpectralC
urveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)/Y^2,Y=0)/xi^4,xi=inf
inity));\n" }{MPLTEXT 1 0 142 "Coeffpolytopexi2Y1:=simplify(-residue(r
esidue((xi-X1)*SpectralCurveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX
10)/Y^2,Y=0)/xi^3,xi=infinity));\n" }{MPLTEXT 1 0 142 "Coeffpolytopexi
1Y1:=simplify(-residue(residue((xi-X1)*SpectralCurveGl2(xi,Y,Q,P,s12,s
22,s11,s21,X1,s10,s20,sX10)/Y^2,Y=0)/xi^2,xi=infinity));\n" }{MPLTEXT 
1 0 142 "Coeffpolytopexi0Y1:=simplify(-residue(residue((xi-X1)*Spectra
lCurveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)/Y^2,Y=0)/xi^1,xi=i
nfinity));\n" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 140 "Coeffpolytopexi0
Y0:=simplify(-residue(residue((xi-X1)*SpectralCurveGl2(xi,Y,Q,P,s12,s2
2,s11,s21,X1,s10,s20,sX10)/Y,Y=0)/xi^1,xi=infinity));\n" }{MPLTEXT 1 
0 140 "Coeffpolytopexi1Y0:=simplify(-residue(residue((xi-X1)*SpectralC
urveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)/Y,Y=0)/xi^2,xi=infin
ity));\n" }{MPLTEXT 1 0 140 "Coeffpolytopexi2Y0:=simplify(-residue(res
idue((xi-X1)*SpectralCurveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10
)/Y,Y=0)/xi^3,xi=infinity));\n" }{MPLTEXT 1 0 140 "Coeffpolytopexi3Y0:
=simplify(-residue(residue((xi-X1)*SpectralCurveGl2(xi,Y,Q,P,s12,s22,s
11,s21,X1,s10,s20,sX10)/Y,Y=0)/xi^4,xi=infinity));\n" }{MPLTEXT 1 0 
140 "Coeffpolytopexi4Y0:=simplify(-residue(residue((xi-X1)*SpectralCur
veGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)/Y,Y=0)/xi^5,xi=infinit
y));\n" }{MPLTEXT 1 0 139 "Coeffpolytopexi5Y0:=simplify(-residue(resid
ue((xi-X1)*SpectralCurveGl2(xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX10)/
Y,Y=0)/xi^6,xi=infinity));" }{MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi
2Y2G6\"\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi1Y2G6
\"\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi0Y2G6\",$I
#X1GF$!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi4Y1G6\"
\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi3Y1G6\"\"\"!"
 }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi2Y1G6\",&I$s12GF$\"
\"\"I$s22GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi1Y1G
6\",(*&,&I$s12GF$!\"\"I$s22GF$F)\"\"\"I#X1GF$F+F+I$s11GF$F+I$s21GF$F+"
 }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi0Y1G6\",(*&,&I$s11G
F$!\"\"I$s21GF$F)\"\"\"I#X1GF$F+F+I$s10GF$F+I$s20GF$F+" }}{PARA 11 "" 
1 "" {XPPMATH 20 ">I3Coeffpolytopexi0Y0G6\",**(I$s12GF$\"\"\"I$s22GF$F
(I\"QGF$\"\"$!\"\"*&,**&,&F'F,F)F,F(I\"PGF$F(F(*(F'F(F)F(I#X1GF$F(F(*&
F)F(I$s11GF$F(F,*&F'F(I$s21GF$F(F,F(F*\"\"#F(*&,.*$F1F8F,*&,(*&,&F'F(F
)F(F(F3F(F(F5F,F7F,F(F1F(F(*&,&*&F5F(F)F(F(F6F(F(F3F(F(*&I$s10GF$F(F)F
(F,*&F5F(F7F(F,*&F'F(I$s20GF$F(F,F(F*F(F(*&F1F(,**&F3F(F1F(F(*&,&F7F(F
5F(F(F3F(F(FDF,FGF,F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolyt
opexi1Y0G6\",(*&,&*&I#X1GF$\"\"\"I$s22GF$F*!\"\"I$s21GF$F*F*I$s11GF$F*
F**&,&*&F)F*F-F*F,I$s20GF$F*F*I$s12GF$F*F**&I$s10GF$F*F+F*F*" }}{PARA 
11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi2Y0G6\",&*&,&*&I#X1GF$\"\"\"
I$s22GF$F*!\"\"I$s21GF$F*F*I$s12GF$F*F**&F+F*I$s11GF$F*F*" }}{PARA 11 
"" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi3Y0G6\"*&I$s12GF$\"\"\"I$s22GF$
F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi4Y0G6\"\"\"!" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coeffpolytopexi5Y0G6\"\"\"!" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "R1(xi);\n" }{MPLTEXT 1 0 8 "R
2(xi);\n" }{MPLTEXT 1 0 16 "simplify(series(" }{MPLTEXT 1 0 17 "Spectr
alCurveGl2(" }{MPLTEXT 1 0 49 "xi,Y,Q,P,s12,s22,s11,s21,X1,s10,s20,sX1
0),Y=0));\n" }{MPLTEXT 1 0 82 "simplify(series(SpectralCurveGl2(xi,Y,Q
,P,s12,s22,s11,s21,X1,s10,s20,sX10),Y=0));\n" }{MPLTEXT 1 0 103 "RHSRe
duced:=-simplify(SpectralCurveGl2(xi,tdY+1/2*R1(xi),Q,P,s12,s22,s11,s2
1,X1,s10,s20,sX10) -tdY^2):\n" }{MPLTEXT 1 0 43 "RHSReduced2:=simplify
(1/4*R1(xi)^2-R2(xi)):" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 9 "simplify
(" }{MPLTEXT 1 0 11 "RHSReduced-" }{MPLTEXT 1 0 49 "RHSReduced2-(Q-X1)
*(P^2-R1(Q)*P+R2(Q))/(xi-X1));\n" }{MPLTEXT 1 0 16 "RHSReduced2bis:=" 
}{MPLTEXT 1 0 21 "1/4*(s12-s22)^2*xi^2+" }{MPLTEXT 1 0 25 "(1/2)*(s12-
s22)*(s11-s21)" }{MPLTEXT 1 0 119 "*xi+(s11-s21)^2/4+(1/2)*(s12-s22)*(
s10-s20) +(1/4)*(s10+s20)^2/(xi-X1)^2+(1/2)*(s10+s20)*((s12+s22)*X1+s1
1+s21)/(xi-X1)" }{MPLTEXT 1 0 2 ":\n" }{MPLTEXT 1 0 36 "simplify(serie
s(simplify((xi-X1)^2*(" }{MPLTEXT 1 0 12 "RHSReduced2-" }{MPLTEXT 1 0 
25 "RHSReduced2bis)),xi=X1));" }}{PARA 11 "" 1 "" {XPPMATH 20 ",**&,&I
$s10G6\"!\"\"I$s20GF&F'\"\"\",&I#xiGF&F)I#X1GF&F'F'F)I$s11GF&F'I$s21GF
&F'*&,&I$s12GF&F'I$s22GF&F'F)F+F)F)" }}{PARA 11 "" 1 "" {XPPMATH 20 ",
,*&I$s10G6\"\"\"\"I$s22GF%F&F&*&I$s11GF%F&I$s21GF%F&F&*&I$s12GF%F&I$s2
0GF%F&F&*&,&*&F)F&F'F&F&*&F,F&F*F&F&F&I#xiGF%F&F&*(F,F&F'F&F2\"\"#F&" 
}}{PARA 11 "" 1 "" {XPPMATH 20 "+)I\"YG6\"*&,2*(I$s12GF$\"\"\"I$s22GF$
F)I\"QGF$\"\"$F)*&,&*&,(*&I#X1GF$F)F*F)!\"\"I\"PGF$F)I$s21GF$F)F)F(F)F
)*&F*F),&F4F)I$s11GF$F)F)F)F)F+\"\"#F)*&,(*&,&*&,&F5F3F4F3F)F2F)F)I$s2
0GF$F)F)F(F)F)*&,&*&,&F4F3F8F3F)F2F)F)I$s10GF$F)F)F*F)F)*&F7F),&F5F)F4
F)F)F)F)F+F)F)*(I#xiGF$F),**(FIF),&F2F)FIF3F)F*F)F)*&F2F)F5F)F)*&F5F)F
IF)F3F@F3F)F(F)F)*(FIF),(*&F2F)F8F)F)*&F8F)FIF)F3FEF3F)F*F)F)*(F4F),(F
4F)F8F)F5F)F)F2F)F3*&F4F),&FEF)F@F)F)F)*(F8F)F5F)FIF)F3F)FLF3\"\"!*&,,
*&,&F(F3F*F3F)FIF9F)*&,(*&,&F(F)F*F)F)F2F)F)F8F3F5F3F)FIF)F)*&,&F5F)F8
F)F)F2F)F)FEF3F@F3F)FLF3F)F)F9" }}{PARA 11 "" 1 "" {XPPMATH 20 "+)I\"Y
G6\"*&,2*(I$s12GF$\"\"\"I$s22GF$F)I\"QGF$\"\"$F)*&,&*&,(*&I#X1GF$F)F*F
)!\"\"I\"PGF$F)I$s21GF$F)F)F(F)F)*&F*F),&F4F)I$s11GF$F)F)F)F)F+\"\"#F)
*&,(*&,&*&,&F5F3F4F3F)F2F)F)I$s20GF$F)F)F(F)F)*&,&*&,&F4F3F8F3F)F2F)F)
I$s10GF$F)F)F*F)F)*&F7F),&F5F)F4F)F)F)F)F+F)F)*(I#xiGF$F),**(FIF),&F2F
)FIF3F)F*F)F)*&F2F)F5F)F)*&F5F)FIF)F3F@F3F)F(F)F)*(FIF),(*&F2F)F8F)F)*
&F8F)FIF)F3FEF3F)F*F)F)*(F4F),(F4F)F8F)F5F)F)F2F)F3*&F4F),&FEF)F@F)F)F
)*(F8F)F5F)FIF)F3F)FLF3\"\"!*&,,*&,&F(F3F*F3F)FIF9F)*&,(*&,&F(F)F*F)F)
F2F)F)F8F3F5F3F)FIF)F)*&,&F5F)F8F)F)F2F)F)FEF3F@F3F)FLF3F)F)F9" }}
{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "
\"\"!" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 212 40 "Identification with the
 one-matrix model" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "Vprime
:=unapply(a*xi+b+c/(xi-X1),xi);\n" }{MPLTEXT 1 0 51 "simplify(simplify
((Vprime(x)-Vprime(ti))/(x-ti)));\n" }{MPLTEXT 1 0 47 "RHSMatrixModel:
=Vprime(xi)^2/4- (c0/(xi-X1)+a);" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 
15 "a:=-(s12-s22);\n" }{MPLTEXT 1 0 15 "b:=-(s11-s21);\n" }{MPLTEXT 1 
0 15 "c:=-(s10+s20);\n" }{MPLTEXT 1 0 9 "s20:=-1;\n" }{MPLTEXT 1 0 56 
"c0:=-(Q-X1)*(P^2-R1(Q)*P+R2(Q))-(s10+s20)*(X1*s22+s21);\n" }{MPLTEXT 
1 0 72 "simplify(series(simplify((RHSReduced-RHSMatrixModel)*(xi-X1)^2
),xi=X1));" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 11 "Vprime(xi);" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I'VprimeG6\"f*6#I#xiGF$F$6$I)operatorGF
$I&arrowGF$F$,(*&I\"aGF$\"\"\"9$F.F.I\"bGF$F.*&I\"cGF$F.,&F/F.I#X1GF$!
\"\"F5F.F$F$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "*(,**&I#X1G6\"\"\"#I\"
aGF&\"\"\"!\"\"*(,&I\"xGF&F)I#tiGF&F)F)F(F)F%F)F)*(F(F)F.F)F-F)F*I\"cG
F&F)F),&F-F)F%F*F*,&F.F*F%F)F*" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I/RHS
MatrixModelG6\",(*$,(*&I\"aGF$\"\"\"I#xiGF$F*F*I\"bGF$F**&I\"cGF$F*,&F
+F*I#X1GF$!\"\"F1F*\"\"##F*\"\"%*&I#c0GF$F*F/F1F1F)F1" }}{PARA 11 "" 1
 "" {XPPMATH 20 ">I\"aG6\",&I$s22GF$\"\"\"I$s12GF$!\"\"" }}{PARA 11 ""
 1 "" {XPPMATH 20 ">I\"bG6\",&I$s11GF$!\"\"I$s21GF$\"\"\"" }}{PARA 11 
"" 1 "" {XPPMATH 20 ">I\"cG6\",&I$s10GF$!\"\"I$s20GF$F'" }}{PARA 11 ""
 1 "" {XPPMATH 20 ">I$s20G6\"!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I
#c0G6\",&*&,&I\"QGF$\"\"\"I#X1GF$!\"\"F),0*$I\"PGF$\"\"#F)*&,**&,&I$s1
0GF$F+F)F)F)F'F+F)I$s11GF$F+I$s21GF$F+*&,&I$s12GF$F+I$s22GF$F+F)F(F)F)
F)F.F)F+*&F4F)F:F)F)*&F5F)F6F)F)F9F+*&F(F),&*&F5F)F:F)F)*&F9F)F6F)F)F)
F)*(F9F)F:F)F(F/F)F)F+*&,&F4F)F+F)F),&*&F*F)F:F)F)F6F)F)F+" }}{PARA 11
 "" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 ",**&,&I$s
22G6\"\"\"\"I$s12GF&!\"\"F'I#xiGF&F'F'I$s11GF&F)I$s21GF&F'*&,&I$s10GF&
F)F'F'F',&F*F'I#X1GF&F)F)F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 244 142 "2. gl_3 case: Loading th
e spectral curve in terms of (Q,P) and the irregular times (t12,t22,t3
2,t11,t21,t31) and the monodromies (t10,t20,t30)" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 55 "P1:=unapply( (t12+t22+t32)*lambda+t11+t21+t31
,lambda);\n" }{MPLTEXT 1 0 157 "P2:=unapply( (t12*t22+t12*t32+t22*t32)
*lambda^2+((t21+t31)*t12+(t11+t31)*t22+t32*(t11+t21))*lambda-t10*t12-t
20*t22-t30*t32+t21*t11 +t31*t11+t21*t31,lambda);\n" }{MPLTEXT 1 0 171 
"P3:=unapply(t12*t22*t32*lambda^3+(t12*t22*t31+t12*t32*t21+t22*t32*t11
)*lambda^2+(t12*t22*t30+t12*t32*t20+t22*t32*t10  +t12*t21*t31+t22*t11*
t31+t32*t11*t21)*lambda,lambda);" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 
1 "\n" }{MPLTEXT 1 0 33 "CoherenceEquation2:=t10+t20+t30;\n" }{MPLTEXT
 1 0 16 "t10:=-(t20+t30);" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 27 "Spec
tralCurveGl3:=unapply(\n" }{MPLTEXT 1 0 558 "-p^3+(t11+t21+t31+(t12+t2
2+t32)*q)*p^2+(((-t12-t32)*t22-t12*t32)*q^2+((-t11-t31)*t22+(-t11-t21)
*t32-t12*(t21+t31))*q+t20*t22+t30*t32+t12*(-t20-t30)+(-t31-t21)*t11-t2
1*t31)*p-(lambda-q)*(q^2*t12*t22*t32+(((lambda*t12+t11)*t32+t12*t31)*t
22+t32*t12*t21)*q+((lambda^2*t12+lambda*t11-t20-t30)*t32+(lambda*t31+t
30)*t12+t11*t31)*t22+((lambda*t21+t20)*t12+t11*t21)*t32+t12*t21*t31)+(
((t22+t32)*t12+t22*t32)*lambda^2+(t12*(t21+t31)+t22*(t11+t31)+t32*(t11
+t21))*lambda+(t20+t30)*t12-t20*t22-t30*t32+t11*(t21+t31)+t21*t31)*y+(
(-t12-t22-t32)*lambda-t11-t21-t31)*y^2+y^3\n" }{MPLTEXT 1 0 1 "," }
{MPLTEXT 1 0 46 "lambda,y,q,p,t12,t22,t32,t11,t21,t31,t20,t30);" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I#P1G6\"f*6#I'lambdaGF$F$6$I)operatorGF
$I&arrowGF$F$,**&,(I$t12GF$\"\"\"I$t22GF$F/I$t32GF$F/F/9$F/F/I$t11GF$F
/I$t21GF$F/I$t31GF$F/F$F$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I#P2G6\"
f*6#I'lambdaGF$F$6$I)operatorGF$I&arrowGF$F$,2*&,(*&I$t12GF$\"\"\"I$t2
2GF$F0F0*&F/F0I$t32GF$F0F0*&F1F0F3F0F0F09$\"\"#F0*&,(*&,&I$t21GF$F0I$t
31GF$F0F0F/F0F0*&,&I$t11GF$F0F<F0F0F1F0F0*&F3F0,&F?F0F;F0F0F0F0F5F0F0*
&I$t10GF$F0F/F0!\"\"*&I$t20GF$F0F1F0FD*&I$t30GF$F0F3F0FD*&F;F0F?F0F0*&
F<F0F?F0F0*&F;F0F<F0F0F$F$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I#P3G6
\"f*6#I'lambdaGF$F$6$I)operatorGF$I&arrowGF$F$,(**I$t12GF$\"\"\"I$t22G
F$F.I$t32GF$F.9$\"\"$F.*&,(*(I$t11GF$F.F/F.F0F.F.*(F-F.I$t21GF$F.F0F.F
.*(F-F.F/F.I$t31GF$F.F.F.F1\"\"#F.*&,.*(I$t10GF$F.F/F.F0F.F.*(F6F.F8F.
F0F.F.*(F6F.F/F.F:F.F.*(F-F.I$t20GF$F.F0F.F.*(F-F.F8F.F:F.F.*(F-F.F/F.
I$t30GF$F.F.F.F1F.F.F$F$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I3Coheren
ceEquation2G6\",(I$t10GF$\"\"\"I$t20GF$F'I$t30GF$F'" }}{PARA 11 "" 1 "
" {XPPMATH 20 ">I$t10G6\",&I$t20GF$!\"\"I$t30GF$F'" }}{PARA 11 "" 1 ""
 {XPPMATH 20 ">I1SpectralCurveGl3G6\"f*6.I'lambdaGF$I\"yGF$I\"qGF$I\"p
GF$I$t12GF$I$t22GF$I$t32GF$I$t11GF$I$t21GF$I$t31GF$I$t20GF$I$t30GF$F$6
$I)operatorGF$I&arrowGF$F$,0*$9'\"\"$!\"\"*&,*9+\"\"\"9,F>9-F>*&,(9(F>
9)F>9*F>F>9&F>F>F>F8\"\"#F>*&,0*&,&*&,&FCF:FEF:F>FDF>F>*&FCF>FEF>F:F>F
FFGF>*&,(*&,&F=F:F@F:F>FDF>F>*&,&F=F:F?F:F>FEF>F>*&,&F?F>F@F>F>FCF>F:F
>FFF>F>*&9.F>FDF>F>*&9/F>FEF>F>*&FCF>,&FXF:FZF:F>F>*&,&F@F:F?F:F>F=F>F
>*&F?F>F@F>F:F>F8F>F>*&,&9$F>FFF:F>,,**FFFGFCF>FDF>FEF>F>*&,&*&,&*&,&*
&F\\oF>FCF>F>F=F>F>FEF>F>*&FCF>F@F>F>F>FDF>F>*(FCF>FEF>F?F>F>F>FFF>F>*
&,(*&,**&F\\oFGFCF>F>*&F\\oF>F=F>F>FXF:FZF:F>FEF>F>*&,&*&F\\oF>F@F>F>F
ZF>F>FCF>F>*&F@F>F=F>F>F>FDF>F>*&,&*&,&*&F\\oF>F?F>F>FXF>F>FCF>F>*&F?F
>F=F>F>F>FEF>F>*(FCF>F?F>F@F>F>F>F:*&,0*&,&*&,&FDF>FEF>F>FCF>F>*&FDF>F
EF>F>F>F\\oFGF>*&,(FUF>*&,&F=F>F@F>F>FDF>F>*&FEF>,&F=F>F?F>F>F>F>F\\oF
>F>*&,&FXF>FZF>F>FCF>F>FWF:FYF:*&F=F>FVF>F>FinF>F>9%F>F>*&,**&,(FCF:FD
F:FEF:F>F\\oF>F>F=F:F?F:F@F:F>FiqFGF>*$FiqF9F>F$F$F$" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 15 "series(residue(" }{MPLTEXT 1 0 17 "Spectr
alCurveGl3(" }{MPLTEXT 1 0 66 "lambda,y,q,p,t12,t22,t32,t11,t21,t31,t2
0,t30)/y^2,y=0),lambda=0);\n" }{MPLTEXT 1 0 97 "series(residue(Spectra
lCurveGl3(lambda,y,q,p,t12,t22,t32,t11,t21,t31,t20,t30)/y^1,y=0),lambd
a=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "+)I'lambdaG6\",0*&I$t11GF$\"\"
\"I$t21GF$F(F(*&F'F(I$t31GF$F(F(*&I$t12GF$F(I$t20GF$F(F(*&F-F(I$t30GF$
F(F(*&F.F(I$t22GF$F(!\"\"*&F)F(F+F(F(*&F0F(I$t32GF$F(F3\"\"!,.*&F'F(F2
F(F(*&F'F(F6F(F(*&F-F(F)F(F(*&F-F(F+F(F(*&F)F(F6F(F(*&F2F(F+F(F(F(,(*&
F-F(F2F(F(*&F-F(F6F(F(*&F2F(F6F(F(\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 
20 "++I'lambdaG6\",`o**I\"qGF$\"\"$I$t12GF$\"\"\"I$t22GF$F*I$t32GF$F*F
***I\"pGF$F*F'\"\"#F)F*F+F*!\"\"**F.F*F'F/F)F*F,F*F0**F.F*F'F/F+F*F,F*
F0**F'F/I$t11GF$F*F+F*F,F*F***F'F/F)F*I$t21GF$F*F,F*F***F'F/F)F*F+F*I$
t31GF$F*F**(F.F/F'F*F)F*F**(F.F/F'F*F+F*F**(F.F/F'F*F,F*F***F.F*F'F*F4
F*F+F*F0**F.F*F'F*F4F*F,F*F0**F.F*F'F*F)F*F6F*F0**F.F*F'F*F)F*F8F*F0**
F.F*F'F*F6F*F,F*F0**F.F*F'F*F+F*F8F*F0**F'F*F4F*F6F*F,F*F***F'F*F4F*F+
F*F8F*F***F'F*F)F*I$t20GF$F*F,F*F***F'F*F)F*F6F*F8F*F***F'F*F)F*F+F*I$
t30GF$F*F***F'F*FEF*F+F*F,F*F0**F'F*F+F*FHF*F,F*F0*$F.F(F0*&F.F/F4F*F*
*&F.F/F6F*F**&F.F/F8F*F**(F.F*F4F*F6F*F0*(F.F*F4F*F8F*F0*(F.F*F)F*FEF*
F0*(F.F*F)F*FHF*F0*(F.F*FEF*F+F*F**(F.F*F6F*F8F*F0*(F.F*FHF*F,F*F*\"\"
!,0*(F4F*F6F*F,F*F0*(F4F*F+F*F8F*F0*(F)F*FEF*F,F*F0*(F)F*F6F*F8F*F0*(F
)F*F+F*FHF*F0*(FEF*F+F*F,F*F**(F+F*FHF*F,F*F*F*,(*(F4F*F+F*F,F*F0*(F)F
*F6F*F,F*F0*(F)F*F+F*F8F*F0F/,$*(F)F*F+F*F,F*F0F(" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 58 "SpectralcurveGl3dual:=simplify(series( Spect
ralCurveGl3(y," }{MPLTEXT 1 0 50 "lambda,q,p,t12,t22,t32,t11,t21,t31,t
20,t30),y=0));" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 33 "Coeffy2:=series
(simplify(residue(" }{MPLTEXT 1 0 42 "SpectralcurveGl3dual/y^3,y=0)),l
ambda=0);\n" }{MPLTEXT 1 0 33 "Coeffy1:=series(simplify(residue(" }
{MPLTEXT 1 0 42 "SpectralcurveGl3dual/y^2,y=0)),lambda=0);\n" }
{MPLTEXT 1 0 75 "Coeffy0:=series(simplify(residue(SpectralcurveGl3dual
/y^1,y=0)),lambda=0);\n" }{MPLTEXT 1 0 25 "simplify(series(simplify(" 
}{MPLTEXT 1 0 36 "SpectralcurveGl3dual/(-t12*t22*t32)-" }{MPLTEXT 1 0 
17 "SpectralCurveGl3(" }{MPLTEXT 1 0 81 "lambda,y,p,q,1/t12,1/t22,1/t3
2,-t11/t12,-t21/t22,-t31/t32,-t20,-t30)),lambda=0));" }}{PARA 11 "" 1 
"" {XPPMATH 20 ">I5SpectralcurveGl3dualG6\"++I\"yGF$,0*$I\"pGF$\"\"$!
\"\"*&,*I$t11GF$\"\"\"I$t21GF$F/I$t31GF$F/*&,(I$t12GF$F/I$t22GF$F/I$t3
2GF$F/F/I\"qGF$F/F/F/F)\"\"#F/*&,0*&,&*&,&F6F+F5F+F/F4F/F/*&F5F/F6F/F+
F/F7F8F/*&,(*&,&F1F+F0F+F/F4F/F/*&,&F.F+F1F+F/F5F/F/*&F6F/,&F.F/F0F/F/
F+F/F7F/F/*&F4F/,&I$t20GF$F+I$t30GF$F+F/F/*&FJF/F5F/F/*&FKF/F6F/F/*&FC
F/F.F/F/*&F0F/F1F/F+F/F)F/F/**F7F*F4F/F5F/F6F/F/*&,&*&,&*&F0F/F6F/F/*&
F5F/F1F/F/F/F4F/F/*(F5F/F6F/F.F/F/F/F7F8F/*&,(*&,(*&FJF/F6F/F/FOF/*&F5
F/FKF/F/F/F4F/F/*&,&*&FIF/F6F/F/*&F1F/F.F/F/F/F5F/F/*(F6F/F.F/F0F/F/F/
F7F/F/*&I'lambdaGF$F/,0FHF/FLF/FMF/*$F^oF8F+*&,(F.F/F0F/F1F/F/F^oF/F/F
NF/FOF+F/F+\"\"!,,*&,(F4F+F5F+F6F+F/F^oF8F/*&,(*&,&F0F/F1F/F/F4F/F/*&,
&F.F/F1F/F/F5F/F/FFF/F/F^oF/F/*&,(*&,&FJF/FKF/F/F6F/F/F[oF+*&F4F/FKF/F
+F/F5F/F/*&,&*&F.F/F0F/F+*&F4F/FJF/F+F/F6F/F/*(F4F/F0F/F1F/F+F/,&*&,&*
&,&F1F+F^oF/F/F5F/F/*&F6F/,&F0F/F^oF+F/F+F/F4F/F/*(F5F/F6F/,&F.F/F^oF+
F/F+F8,$*(F4F/F5F/F6F/F+F*" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I(Coeffy2
G6\"+'I'lambdaGF$,&*&,&*&I$t21GF$\"\"\"I$t32GF$F,!\"\"*&I$t22GF$F,I$t3
1GF$F,F.F,I$t12GF$F,F,*(F0F,F-F,I$t11GF$F,F.\"\"!,&*&,&F0F,F-F,F,F2F,F
,*&F0F,F-F,F,F," }}{PARA 11 "" 1 "" {XPPMATH 20 ">I(Coeffy1G6\"+)I'lam
bdaGF$,(*&,(*&,&I$t20GF$\"\"\"I$t30GF$F-F-I$t32GF$F-F-*&I$t31GF$F-I$t1
1GF$F-!\"\"*&I$t12GF$F-F.F-F3F-I$t22GF$F-F-*&,&*&F2F-I$t21GF$F-F3*&F5F
-F,F-F3F-F/F-F-*(F5F-F:F-F1F-F3\"\"!,(*&,&F:F-F1F-F-F5F-F-*&,&F2F-F1F-
F-F6F-F-*&F/F-,&F2F-F:F-F-F-F-,(F5F3F6F3F/F3\"\"#" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I(Coeffy0G6\"++I'lambdaGF$,.*$I\"pGF$\"\"$!\"\"*&,*I$t11
GF$\"\"\"I$t21GF$F/I$t31GF$F/*&,(I$t12GF$F/I$t22GF$F/I$t32GF$F/F/I\"qG
F$F/F/F/F)\"\"#F/*&,0*&,&*&,&F6F+F5F+F/F4F/F/*&F5F/F6F/F+F/F7F8F/*&,(*
&,&F1F+F0F+F/F4F/F/*&,&F.F+F1F+F/F5F/F/*&F6F/,&F.F/F0F/F/F+F/F7F/F/*&F
4F/,&I$t20GF$F+I$t30GF$F+F/F/*&FJF/F5F/F/*&FKF/F6F/F/*&FCF/F.F/F/*&F0F
/F1F/F+F/F)F/F/**F7F*F4F/F5F/F6F/F/*&,&*&,&*&F0F/F6F/F/*&F5F/F1F/F/F/F
4F/F/*(F5F/F6F/F.F/F/F/F7F8F/*&,(*&,(*&FJF/F6F/F/FOF/*&F5F/FKF/F/F/F4F
/F/*&,&*&FIF/F6F/F/*&F1F/F.F/F/F/F5F/F/*(F6F/F.F/F0F/F/F/F7F/F/\"\"!,,
FHF+FLF+FMF+FNF+FOF/F/,(F.F+F0F+F1F+F8F/F*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "Spect
ralCurveGl3Shifted:=unapply( " }{MPLTEXT 1 0 33 "simplify(series(Spect
ralCurveGl3(" }{MPLTEXT 1 0 81 "lambda,y-(beta1*lambda),q,p,t12,t22,t3
2,t11,t21,t31,t20,t30),lambda=0)),lambda,y," }{MPLTEXT 1 0 36 "q,p,t12
,t22,t32,t11,t21,t31,t20,t30)" }{MPLTEXT 1 0 1 ";" }{MPLTEXT 1 0 0 "" 
}}{PARA 11 "" 1 "" {XPPMATH 20 ">I8SpectralCurveGl3ShiftedG6\"f*6.I'la
mbdaGF$I\"yGF$I\"qGF$I\"pGF$I$t12GF$I$t22GF$I$t32GF$I$t11GF$I$t21GF$I$
t31GF$I$t20GF$I$t30GF$F$6$I)operatorGF$I&arrowGF$F$++9$,0*$9'\"\"$!\"
\"*&,*9+\"\"\"9,F@9-F@*&,(9(F@9)F@9*F@F@9&F@F@F@F:\"\"#F@*&,0*&,&*&,&F
GF<FFF<F@FEF@F@*&FFF@FGF@F<F@FHFIF@*&,(*&,&FBF<FAF<F@FEF@F@*&,&F?F<FBF
<F@FFF@F@*&FGF@,&F?F@FAF@F@F<F@FHF@F@*&FEF@,&9.F<9/F<F@F@*&FenF@FFF@F@
*&FfnF@FGF@F@*&FTF@F?F@F@*&FAF@FBF@F<F@F:F@F@**FHF;FEF@FFF@FGF@F@*&,&*
&,&*&FAF@FGF@F@*&FBF@FFF@F@F@FEF@F@*(FFF@FGF@F?F@F@F@FHFIF@*&,(*&,(*&F
enF@FGF@F@FjnF@*&FFF@FfnF@F@F@FEF@F@*&,&*&FZF@FGF@F@*&FBF@F?F@F@F@FFF@
F@*(FGF@F?F@FAF@F@F@FHF@F@*&,,FYF@FgnF@FhnF@*&,(FBF<9%F@FAF<F@F?F@F@*&
,&FbpF@FAF<F@,&FbpF<FBF@F@F@F@FbpF@F<\"\"!,.*&,*I&beta1GF$!\"$FEF<FFF<
FGF<F@FbpFIF@*&,**&,(F?FIFAFIFBFIF@FjpF@F@*&,&FAF@FBF@F@FEF@F@*&,&F?F@
FBF@F@FFF@F@FWF@F@FbpF@F@*&,,FYF@FgnF@FhnF@FinF@FjnF<F@FjpF@F@*&,(FgoF
<FjnF<FhoF<F@FEF@F@*&,&*&,&FenF@FfnF@F@FGF@F@F\\pF<F@FFF@F@F]pF<F@,**&
,*FbpF;F?F<FAF<FBF<F@FjpFIF@*&,(*&,(FbpFIFAF<FBF<F@FEF@F@*&,(FbpFIF?F<
FBF<F@FFF@F@*&FGF@,(FbpF@F?#F<FIFAFgrF@FIF@FjpF@F@*&,&*&,&FbpF@FBF<F@F
FF@F@*&FGF@FdpF@F@F@FEF@F@*(FFF@FGF@,&FbpF@F?F<F@F@FI,$*(,&FGF@FjpF@F@
,&FFF@FjpF@F@,&FEF@FjpF@F@F<F;F$F$F$" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 13 "beta1:=-t22;\n" }{MPLTEXT 1 0 28 "SpectralCurveGl3Shi
ftedbis:=" }{MPLTEXT 1 0 16 "simplify(series(" }{MPLTEXT 1 0 24 "Spect
ralCurveGl3Shifted(" }{MPLTEXT 1 0 9 "lambda,y," }{MPLTEXT 1 0 44 "q,p
,t12,t22,t32,t11,t21,t31,t20,t30),y=0));\n" }{MPLTEXT 1 0 41 "Termy2la
mbda2:=simplify(-residue(residue(" }{MPLTEXT 1 0 63 "SpectralCurveGl3S
hiftedbis/y^3,y=0)/lambda^3,lambda=infinity));" }{MPLTEXT 1 0 1 "\n" }
{MPLTEXT 1 0 104 "Termy2lambda1:=simplify(-residue(residue(SpectralCur
veGl3Shiftedbis/y^3,y=0)/lambda^2,lambda=infinity));" }{MPLTEXT 1 0 1 
"\n" }{MPLTEXT 1 0 104 "Termy2lambda0:=simplify(-residue(residue(Spect
ralCurveGl3Shiftedbis/y^3,y=0)/lambda^1,lambda=infinity));" }{MPLTEXT 
1 0 1 "\n" }{MPLTEXT 1 0 41 "Termy1lambda3:=simplify(-residue(residue(
" }{MPLTEXT 1 0 63 "SpectralCurveGl3Shiftedbis/y^2,y=0)/lambda^4,lambd
a=infinity));" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 41 "Termy1lambda2:=s
implify(-residue(residue(" }{MPLTEXT 1 0 64 "SpectralCurveGl3Shiftedbi
s/y^2,y=0)/lambda^3,lambda=infinity));\n" }{MPLTEXT 1 0 41 "Termy1lamb
da1:=simplify(-residue(residue(" }{MPLTEXT 1 0 64 "SpectralCurveGl3Shi
ftedbis/y^2,y=0)/lambda^2,lambda=infinity));\n" }{MPLTEXT 1 0 41 "Term
y1lambda0:=simplify(-residue(residue(" }{MPLTEXT 1 0 63 "SpectralCurve
Gl3Shiftedbis/y^2,y=0)/lambda^1,lambda=infinity));" }{MPLTEXT 1 0 1 "
\n" }{MPLTEXT 1 0 41 "Termy0lambda3:=simplify(-residue(residue(" }
{MPLTEXT 1 0 63 "SpectralCurveGl3Shiftedbis/y^1,y=0)/lambda^4,lambda=i
nfinity));" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 41 "Termy0lambda2:=simp
lify(-residue(residue(" }{MPLTEXT 1 0 64 "SpectralCurveGl3Shiftedbis/y
^1,y=0)/lambda^3,lambda=infinity));\n" }{MPLTEXT 1 0 126 "Termy0lambda
1:=simplify(series(simplify(-residue(residue(SpectralCurveGl3Shiftedbi
s/y^1,y=0)/lambda^2,lambda=infinity)),t20));" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I&beta1G6\",$I$t22GF$!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 
20 ">I;SpectralCurveGl3ShiftedbisG6\"++I\"yGF$,0*$I\"pGF$\"\"$!\"\"*&,
*I$t11GF$\"\"\"I$t21GF$F/I$t31GF$F/*&,(I$t12GF$F/I$t22GF$F/I$t32GF$F/F
/I\"qGF$F/F/F/F)\"\"#F/*&,0*&,&*&,&F4F+F6F+F/F5F/F/*&F4F/F6F/F+F/F7F8F
/*&,(*&,&F1F+F0F+F/F4F/F/*&,&F.F+F1F+F/F5F/F/*&F6F/,&F.F/F0F/F/F+F/F7F
/F/*&I$t20GF$F/F5F/F/*&F4F/,&FIF+I$t30GF$F+F/F/*&FLF/F6F/F/*&FEF/F0F/F
/*&F1F/F.F/F+F/F)F/F/**F7F*F4F/F5F/F6F/F/*&,&*&,&*&F.F/F6F/F/*&F4F/F1F
/F/F/F5F/F/*(F4F/F6F/F0F/F/F/F7F8F/*&,(*&,(*&FKF/F6F/F/*&F4F/FLF/F/FOF
/F/F5F/F/*&,&*&FIF/F6F/F/*&F0F/F1F/F/F/F4F/F/*(F6F/F.F/F0F/F/F/F7F/F/*
&,**&,&*&I'lambdaGF$F/F0F/F/FIF/F/F5F8F/*&,(*&,&FaoF+FIF+F/F4F/F/*&Ffo
F/F6F/F/*&,&F.F/F1F/F/F0F/F+F/F5F/F/*&,&*&F`oF/F6F/F/F[oF/F/F4F/F/F\\o
F/F/FboF/F+\"\"!,0*(,&F5F/F6F+F/,&F4F/F5F+F/FboF8F+*&,(*&,(F.F+F0!\"#F
1F+F/F5F/F/FFF/*&,&F0F/F1F/F/F4F/F/F/FboF/F/FHF+*&,&FIF/FLF/F/F4F/F/Fh
oF/FOF/FMF+F/,*F.F+F0F+F1F+*&,(F5F8F4F+F6F+F/FboF/F/F8F/F*" }}{PARA 11
 "" 1 "" {XPPMATH 20 ">I.Termy2lambda2G6\"\"\"!" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I.Termy2lambda1G6\",(I$t22GF$\"\"#I$t12GF$!\"\"I$t32GF$F
)" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I.Termy2lambda0G6\",(I$t11GF$!\"\"
I$t21GF$F'I$t31GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I.Termy1lambda3
G6\"\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I.Termy1lambda2G6\",$*&,&I
$t22GF$\"\"\"I$t32GF$!\"\"F),&I$t12GF$F)F(F+F)F+" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I.Termy1lambda1G6\",**&,(I$t22GF$!\"#I$t12GF$\"\"\"I$t32
GF$F+F+I$t21GF$F+F+*&,&I$t11GF$!\"\"I$t31GF$F1F+F(F+F+*&F,F+F0F+F+*&F*
F+F2F+F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I.Termy1lambda0G6\",,*&,&I$
t20GF$\"\"\"I$t30GF$F)F)I$t12GF$F)F)*&F(F)I$t22GF$F)!\"\"*&F*F)I$t32GF
$F)F.*&I$t11GF$F),&I$t21GF$F)I$t31GF$F)F)F)*&F4F)F5F)F)" }}{PARA 11 ""
 1 "" {XPPMATH 20 ">I.Termy0lambda3G6\"\"\"!" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I.Termy0lambda2G6\"*(I$t21GF$\"\"\",&I$t22GF$F'I$t32GF$!
\"\"F',&I$t12GF$F'F)F+F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I.Termy0lam
bda1G6\"+'I$t20GF$*&,&*&,&I$t22GF$\"\"\"I$t32GF$!\"\"F,I$t11GF$F,F,*&I
$t31GF$F,,&I$t12GF$F,F+F.F,F.F,I$t21GF$F,\"\"!*&F*F,F2F,F," }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT 245 40 "Identification with the two-matrix model
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "V1prime:=unapply(a1*lam
bda+a2,lambda);\n" }{MPLTEXT 1 0 39 "V2prime:=unapply(b0*y+b1+b2/(y-X1
),y);\n" }{MPLTEXT 1 0 70 "E0part1:=unapply(  (V1prime(lambda)-y)*(V2p
rime(y)-lambda),lambda,y);\n" }{MPLTEXT 1 0 12 "E0:=unapply(" }
{MPLTEXT 1 0 41 "E0part1(lambda,y)+1 -a1*(b0-b2/(y-X1)*C0)" }{MPLTEXT 
1 0 12 ",lambda,y);\n" }{MPLTEXT 1 0 29 "series(simplify(E0(lambda,y)-
" }{MPLTEXT 1 0 25 "E0part1(lambda,y)),y=X1);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I(V1primeG6\"f*6#I'lambdaGF$F$6$I)operatorGF$I&arrowGF$F
$,&*&I#a1GF$\"\"\"9$F.F.I#a2GF$F.F$F$F$" }}{PARA 11 "" 1 "" {XPPMATH 
20 ">I(V2primeG6\"f*6#I\"yGF$F$6$I)operatorGF$I&arrowGF$F$,(*&I#b0GF$
\"\"\"9$F.F.I#b1GF$F.*&I#b2GF$F.,&F/F.I#X1GF$!\"\"F5F.F$F$F$" }}{PARA 
11 "" 1 "" {XPPMATH 20 ">I(E0part1G6\"f*6$I'lambdaGF$I\"yGF$F$6$I)oper
atorGF$I&arrowGF$F$*&,(*&I#a1GF$\"\"\"9$F0F0I#a2GF$F09%!\"\"F0,**&I#b0
GF$F0F3F0F0I#b1GF$F0*&I#b2GF$F0,&F3F0I#X1GF$F4F4F0F1F4F0F$F$F$" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I#E0G6\"f*6$I'lambdaGF$I\"yGF$F$6$I)ope
ratorGF$I&arrowGF$F$,(*&,(*&I#a1GF$\"\"\"9$F1F1I#a2GF$F19%!\"\"F1,**&I
#b0GF$F1F4F1F1I#b1GF$F1*&I#b2GF$F1,&F4F1I#X1GF$F5F5F1F2F5F1F1F1F1*&F0F
1,&F8F1*(F;F1F<F5I#C0GF$F1F5F1F5F$F$F$" }}{PARA 11 "" 1 "" {XPPMATH 20
 "+',&I\"yG6\"\"\"\"I#X1GF%!\"\"*(I#C0GF%F&I#a1GF%F&I#b2GF%F&F(,&*&F+F
&I#b0GF%F&F(F&F&\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 71 "si
mplify(series(residue(-1/b0*(y-X1)*E0(lambda,y)/y^4,y=0),lambda=0));\n
" }{MPLTEXT 1 0 24 "simplify(series(residue(" }{MPLTEXT 1 0 6 "-1/b0*"
 }{MPLTEXT 1 0 1 "(" }{MPLTEXT 1 0 6 "y-X1)*" }{MPLTEXT 1 0 2 "E0" }
{MPLTEXT 1 0 32 "(lambda,y)/y^3,y=0),lambda=0));\n" }{MPLTEXT 1 0 24 "
simplify(series(residue(" }{MPLTEXT 1 0 6 "-1/b0*" }{MPLTEXT 1 0 1 "("
 }{MPLTEXT 1 0 6 "y-X1)*" }{MPLTEXT 1 0 2 "E0" }{MPLTEXT 1 0 32 "(lamb
da,y)/y^2,y=0),lambda=0));\n" }{MPLTEXT 1 0 24 "simplify(series(residu
e(" }{MPLTEXT 1 0 6 "-1/b0*" }{MPLTEXT 1 0 1 "(" }{MPLTEXT 1 0 6 "y-X1
)*" }{MPLTEXT 1 0 2 "E0" }{MPLTEXT 1 0 31 "(lambda,y)/y^1,y=0),lambda=
0));" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 45 "series((-a1*b0+a2*b1+1)*X
1-b2*(C0*a1+a2),C0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "+%I'lambdaG6\"\"
\"\"\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "+'I'lambdaG6\"*&,&*&,&I#X1G
F$!\"\"I#a2GF$F*\"\"\"I#b0GF$F,F,I#b1GF$F,F,F-F*\"\"!*&,&*&I#a1GF$F,F-
F,F*F*F,F,F-F*F," }}{PARA 11 "" 1 "" {XPPMATH 20 "+)I'lambdaG6\"*&,,*&
,&*&I#X1GF$\"\"\"I#a2GF$F+F+I#a1GF$F+F+I#b0GF$F+F+*&I#b1GF$F+F*F+!\"\"
*&F,F+F0F+F1I#b2GF$F+F1F+F+F.F1\"\"!*&,(*&,&*&F*F+F.F+F+F0F1F+F-F+F+F*
F+F,F+F+F.F1F+*&F-F+F.F1\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "+)I'lam
bdaG6\"*&,&*&,(*&I#a1GF$\"\"\"I#b0GF$F+!\"\"*&I#a2GF$F+I#b1GF$F+F+F+F+
F+I#X1GF$F+F+*&I#b2GF$F+,&*&I#C0GF$F+F*F+F+F/F+F+F-F+F,F-\"\"!*&,&*&,&
*&F*F+F0F+F+F/F-F+F1F+F+*&F*F+F3F+F-F+F,F-F+,$*(F1F+F*F+F,F-F-\"\"#" }
}{PARA 11 "" 1 "" {XPPMATH 20 "+'I#C0G6\",&*&,(*&I#a1GF$\"\"\"I#b0GF$F
*!\"\"*&I#a2GF$F*I#b1GF$F*F*F*F*F*I#X1GF$F*F**&F.F*I#b2GF$F*F,\"\"!,$*
&F)F*F2F*F,F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "SpectralCu
rveGl3(" }{MPLTEXT 1 0 46 "lambda,y,q,p,t12,t22,t32,t11,t21,t31,t20,t3
0):" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 25 "simplify(series(residue(("
 }{MPLTEXT 1 0 17 "SpectralCurveGl3(" }{MPLTEXT 1 0 6 "lambda" }
{MPLTEXT 1 0 64 ",y+t22*lambda,q,p,t12,t22,t32,t11,t21,t31,t20,t30)+1/
b0*(y-X1)* " }{MPLTEXT 1 0 2 "E0" }{MPLTEXT 1 0 10 "(lambda,y)" }
{MPLTEXT 1 0 1 ")" }{MPLTEXT 1 0 22 "/y^4,y=0),lambda=0));\n" }
{MPLTEXT 1 0 25 "simplify(series(residue((" }{MPLTEXT 1 0 17 "Spectral
CurveGl3(" }{MPLTEXT 1 0 6 "lambda" }{MPLTEXT 1 0 1 "," }{MPLTEXT 1 0 
2 "y+" }{MPLTEXT 1 0 10 "t22*lambda" }{MPLTEXT 1 0 9 ",q,p,t12," }
{MPLTEXT 1 0 3 "t22" }{MPLTEXT 1 0 9 ",t32,t11," }{MPLTEXT 1 0 3 "t21"
 }{MPLTEXT 1 0 14 ",t31,t20,t30)+" }{MPLTEXT 1 0 2 "1/" }{MPLTEXT 1 0 
3 "b0*" }{MPLTEXT 1 0 7 "(y-X1)*" }{MPLTEXT 1 0 2 "E0" }{MPLTEXT 1 0 
10 "(lambda,y)" }{MPLTEXT 1 0 1 ")" }{MPLTEXT 1 0 22 "/y^3,y=0),lambda
=0));\n" }{MPLTEXT 1 0 25 "simplify(series(residue((" }{MPLTEXT 1 0 
17 "SpectralCurveGl3(" }{MPLTEXT 1 0 6 "lambda" }{MPLTEXT 1 0 1 "," }
{MPLTEXT 1 0 2 "y+" }{MPLTEXT 1 0 10 "t22*lambda" }{MPLTEXT 1 0 9 ",q,
p,t12," }{MPLTEXT 1 0 3 "t22" }{MPLTEXT 1 0 9 ",t32,t11," }{MPLTEXT 1 
0 3 "t21" }{MPLTEXT 1 0 14 ",t31,t20,t30)+" }{MPLTEXT 1 0 2 "1/" }
{MPLTEXT 1 0 3 "b0*" }{MPLTEXT 1 0 7 "(y-X1)*" }{MPLTEXT 1 0 2 "E0" }
{MPLTEXT 1 0 10 "(lambda,y)" }{MPLTEXT 1 0 1 ")" }{MPLTEXT 1 0 22 "/y^
2,y=0),lambda=0));\n" }{MPLTEXT 1 0 25 "simplify(series(residue((" }
{MPLTEXT 1 0 17 "SpectralCurveGl3(" }{MPLTEXT 1 0 6 "lambda" }{MPLTEXT
 1 0 1 "," }{MPLTEXT 1 0 2 "y+" }{MPLTEXT 1 0 10 "t22*lambda" }
{MPLTEXT 1 0 9 ",q,p,t12," }{MPLTEXT 1 0 3 "t22" }{MPLTEXT 1 0 9 ",t32
,t11," }{MPLTEXT 1 0 3 "t21" }{MPLTEXT 1 0 14 ",t31,t20,t30)+" }
{MPLTEXT 1 0 2 "1/" }{MPLTEXT 1 0 3 "b0*" }{MPLTEXT 1 0 7 "(y-X1)*" }
{MPLTEXT 1 0 2 "E0" }{MPLTEXT 1 0 10 "(lambda,y)" }{MPLTEXT 1 0 1 ")" 
}{MPLTEXT 1 0 21 "/y^1,y=0),lambda=0));" }}{PARA 11 "" 1 "" {XPPMATH 
20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "+'I'lambdaG6\"*&,&*&,,I#X1G
F$\"\"\"I#a2GF$F*I$t11GF$!\"\"I$t21GF$F-I$t31GF$F-F*I#b0GF$F*F*I#b1GF$
F-F*F0F-\"\"!*&,&F*F**&,*I#a1GF$F*I$t12GF$F-I$t22GF$\"\"#I$t32GF$F-F*F
0F*F*F*F0F-F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "+)I'lambdaG6\"*&,,*&,0*
&I$t11GF$\"\"\",&I$t21GF$F+I$t31GF$F+F+F+*&,&I$t20GF$F+I$t30GF$F+F+I$t
12GF$F+F+*&I#X1GF$F+I#a2GF$F+!\"\"*&F-F+F.F+F+*&F1F+I$t22GF$F+F7*&F2F+
I$t32GF$F+F7I#a1GF$F7F+I#b0GF$F+F+*&I#b1GF$F+F5F+F+*&F6F+F@F+F+I#b2GF$
F7F+F+F+F>F7\"\"!*&,**&,,*&,(F:!\"#F3F+F<F+F+F-F+F+*&,&F*F7F.F7F+F:F+F
+*&F5F+F=F+F7*&F3F+F.F+F+*&F<F+F*F+F+F+F>F+F+*&F=F+F@F+F+F5F7F6F7F+F>F
7F+*&,&*(,&F3F+F:F7F+,&F:F+F<F7F+F>F+F7F=F7F+F>F7\"\"#" }}{PARA 11 "" 
1 "" {XPPMATH 20 "+)I'lambdaG6\"*&,(*&,0*$I\"pGF$\"\"$!\"\"*&,*I$t11GF
$\"\"\"I$t21GF$F0I$t31GF$F0*&,(I$t12GF$F0I$t22GF$F0I$t32GF$F0F0I\"qGF$
F0F0F0F*\"\"#F0*&,0*&,&*&,&F7F,F6F,F0F5F0F0*&F6F0F7F0F,F0F8F9F0*&,(*&,
&F2F,F1F,F0F5F0F0*&,&F/F,F2F,F0F6F0F0*&F7F0,&F/F0F1F0F0F,F0F8F0F0*&F5F
0,&I$t20GF$F,I$t30GF$F,F0F0*&FKF0F6F0F0*&FLF0F7F0F0*&FDF0F/F0F0*&F1F0F
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0F0*(F6F0F7F0F/F0F0F0F8F9F0*&,(*&,(*&FKF0F7F0F0FPF0*&F6F0FLF0F0F0F5F0F
0*&,&*&FJF0F7F0F0*&F2F0F/F0F0F0F6F0F0*(F7F0F/F0F1F0F0F0F8F0F0*&I#X1GF$
F0I#a1GF$F0F0F0I#b0GF$F0F0*&,&*&I#a2GF$F0I#b1GF$F0F,F,F0F0F_oF0F0*&I#b
2GF$F0,&*&I#C0GF$F0F`oF0F0FeoF0F0F0F0FaoF,\"\"!*&,(*&,**&FKF0F6F9F,*&,
&*&,&F5F0F7F0F0FKF0F0*&,&F/F0F2F0F0F1F0F0F0F6F0F0*(F5F0F7F0FKF0F,*&F1F
0,&*&F/F0F7F0F0*&F5F0F2F0F0F0F,F0FaoF0F0*&,&*&F`oF0FfoF0F,FeoF0F0F_oF0
F0*&F`oF0FhoF0F0F0FaoF,F0*&,&**F1F0,&F6F0F7F,F0,&F5F0F6F,F0FaoF0F0F^oF
0F0FaoF,F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 72 "simplify(seri
es(residue(simplify(series(SpectralCurveGl3Shiftedbis+1/b0*" }{MPLTEXT
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ify(series(residue(simplify(series(SpectralCurveGl3Shiftedbis+" }
{MPLTEXT 1 0 5 "1/b0*" }{MPLTEXT 1 0 7 "(y-X1)*" }{MPLTEXT 1 0 3 "E0("
 }{MPLTEXT 1 0 7 "lambda," }{MPLTEXT 1 0 2 "y)" }{MPLTEXT 1 0 27 ",y=0
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{MPLTEXT 1 0 5 "1/b0*" }{MPLTEXT 1 0 7 "(y-X1)*" }{MPLTEXT 1 0 3 "E0("
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{MPLTEXT 1 0 5 "1/b0*" }{MPLTEXT 1 0 7 "(y-X1)*" }{MPLTEXT 1 0 3 "E0("
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{MPLTEXT 1 0 27 ",y=0))/y^1,y=0),lambda=0));" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "+'I'lambdaG6\"*&,&
*&,,I#X1GF$\"\"\"I#a2GF$F*I$t11GF$!\"\"I$t21GF$F-I$t31GF$F-F*I#b0GF$F*
F*I#b1GF$F-F*F0F-\"\"!*&,&F*F**&,*I#a1GF$F*I$t12GF$F-I$t22GF$\"\"#I$t3
2GF$F-F*F0F*F*F*F0F-F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "+)I'lambdaG6\"
*&,,*&,0*&I$t11GF$\"\"\",&I$t21GF$F+I$t31GF$F+F+F+*&,&I$t20GF$F+I$t30G
F$F+F+I$t12GF$F+F+*&I#X1GF$F+I#a2GF$F+!\"\"*&F-F+F.F+F+*&F1F+I$t22GF$F
+F7*&F2F+I$t32GF$F+F7I#a1GF$F7F+I#b0GF$F+F+*&I#b1GF$F+F5F+F+*&F6F+F@F+
F+I#b2GF$F7F+F+F+F>F7\"\"!*&,**&,,*&,(F:!\"#F3F+F<F+F+F-F+F+*&,&F*F7F.
F7F+F:F+F+*&F5F+F=F+F7*&F3F+F.F+F+*&F<F+F*F+F+F+F>F+F+*&F=F+F@F+F+F5F7
F6F7F+F>F7F+*&,&*(,&F3F+F:F7F+,&F:F+F<F7F+F>F+F7F=F7F+F>F7\"\"#" }}
{PARA 11 "" 1 "" {XPPMATH 20 "+)I'lambdaG6\"*&,(*&,0*$I\"pGF$\"\"$!\"
\"*&,*I$t11GF$\"\"\"I$t21GF$F0I$t31GF$F0*&,(I$t12GF$F0I$t22GF$F0I$t32G
F$F0F0I\"qGF$F0F0F0F*\"\"#F0*&,0*&,&*&,&F7F,F6F,F0F5F0F0*&F6F0F7F0F,F0
F8F9F0*&,(*&,&F2F,F1F,F0F5F0F0*&,&F/F,F2F,F0F6F0F0*&F7F0,&F/F0F1F0F0F,
F0F8F0F0*&F5F0,&I$t20GF$F,I$t30GF$F,F0F0*&FKF0F6F0F0*&FLF0F7F0F0*&FDF0
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F0F2F0F0F0F5F0F0*(F6F0F7F0F/F0F0F0F8F9F0*&,(*&,(*&FKF0F7F0F0FPF0*&F6F0
FLF0F0F0F5F0F0*&,&*&FJF0F7F0F0*&F2F0F/F0F0F0F6F0F0*(F7F0F/F0F1F0F0F0F8
F0F0*&I#X1GF$F0I#a1GF$F0F0F0I#b0GF$F0F0*&,&*&I#a2GF$F0I#b1GF$F0F,F,F0F
0F_oF0F0*&I#b2GF$F0,&*&I#C0GF$F0F`oF0F0FeoF0F0F0F0FaoF,\"\"!*&,(*&,**&
FKF0F6F9F,*&,&*&,&F5F0F7F0F0FKF0F0*&,&F/F0F2F0F0F1F0F0F0F6F0F0*(F5F0F7
F0FKF0F,*&F1F0,&*&F/F0F7F0F0*&F5F0F2F0F0F0F,F0FaoF0F0*&,&*&F`oF0FfoF0F
,FeoF0F0F_oF0F0*&F`oF0FhoF0F0F0FaoF,F0*&,&**F1F0,&F6F0F7F,F0,&F5F0F6F,
F0FaoF0F0F^oF0F0FaoF,F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "
EQ1:=simplify(residue(residue( (" }{MPLTEXT 1 0 32 "SpectralCurveGl3Sh
iftedbis+1/b0*" }{MPLTEXT 1 0 17 "(y-X1)*E0(lambda," }{MPLTEXT 1 0 34 
"y))/y^3,y=0)/lambda^2,lambda=0));\n" }{MPLTEXT 1 0 115 "EQ2:=simplify
(residue(residue( (SpectralCurveGl3Shiftedbis+1/b0*(y-X1)*E0(lambda,y)
)/y^3,y=0)/lambda^1,lambda=0));\n" }{MPLTEXT 1 0 115 "EQ3:=simplify(re
sidue(residue( (SpectralCurveGl3Shiftedbis+1/b0*(y-X1)*E0(lambda,y))/y
^2,y=0)/lambda^3,lambda=0));\n" }{MPLTEXT 1 0 115 "EQ4:=simplify(resid
ue(residue( (SpectralCurveGl3Shiftedbis+1/b0*(y-X1)*E0(lambda,y))/y^2,
y=0)/lambda^2,lambda=0));\n" }{MPLTEXT 1 0 115 "EQ5:=simplify(residue(
residue( (SpectralCurveGl3Shiftedbis+1/b0*(y-X1)*E0(lambda,y))/y^2,y=0
)/lambda^1,lambda=0));\n" }{MPLTEXT 1 0 115 "EQ6:=simplify(residue(res
idue( (SpectralCurveGl3Shiftedbis+1/b0*(y-X1)*E0(lambda,y))/y^1,y=0)/l
ambda^3,lambda=0));\n" }{MPLTEXT 1 0 115 "EQ7:=simplify(residue(residu
e( (SpectralCurveGl3Shiftedbis+1/b0*(y-X1)*E0(lambda,y))/y^1,y=0)/lamb
da^2,lambda=0));\n" }{MPLTEXT 1 0 114 "EQ8:=simplify(residue(residue( \+
(SpectralCurveGl3Shiftedbis+1/b0*(y-X1)*E0(lambda,y))/y^1,y=0)/lambda^
1,lambda=0)):" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$EQ1G6\"*&,&\"\"\"F'*
&,*I#a1GF$F'I$t12GF$!\"\"I$t22GF$\"\"#I$t32GF$F,F'I#b0GF$F'F'F'F0F," }
}{PARA 11 "" 1 "" {XPPMATH 20 ">I$EQ2G6\"*&,&*&,,I#X1GF$\"\"\"I#a2GF$F
*I$t11GF$!\"\"I$t21GF$F-I$t31GF$F-F*I#b0GF$F*F*I#b1GF$F-F*F0F-" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I$EQ3G6\"*&,&*(,&I$t12GF$\"\"\"I$t22GF$
!\"\"F*,&F+F*I$t32GF$F,F*I#b0GF$F*F,I#a1GF$F,F*F/F," }}{PARA 11 "" 1 "
" {XPPMATH 20 ">I$EQ4G6\"*&,**&,,*&,(I$t22GF$!\"#I$t12GF$\"\"\"I$t32GF
$F.F.I$t21GF$F.F.*&,&I$t11GF$!\"\"I$t31GF$F4F.F+F.F.*&I#X1GF$F.I#a1GF$
F.F4*&F-F.F5F.F.*&F/F.F3F.F.F.I#b0GF$F.F.*&F8F.I#b1GF$F.F.F7F4I#a2GF$F
4F.F;F4" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$EQ5G6\"*&,,*&,0*&I$t11GF$
\"\"\",&I$t21GF$F+I$t31GF$F+F+F+*&,&I$t20GF$F+I$t30GF$F+F+I$t12GF$F+F+
*&I#X1GF$F+I#a2GF$F+!\"\"*&F-F+F.F+F+*&F1F+I$t22GF$F+F7*&F2F+I$t32GF$F
+F7I#a1GF$F7F+I#b0GF$F+F+*&I#b1GF$F+F5F+F+*&F6F+F@F+F+I#b2GF$F7F+F+F+F
>F7" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$EQ6G6\"*&,&**I$t21GF$\"\"\",&I
$t22GF$F)I$t32GF$!\"\"F),&I$t12GF$F)F+F-F)I#b0GF$F)F)*&I#X1GF$F)I#a1GF
$F)F)F)F0F-" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$EQ7G6\"*&,(*&,**&I$t20
GF$\"\"\"I$t22GF$\"\"#!\"\"*&,&*&,&I$t12GF$F+I$t32GF$F+F+F*F+F+*&,&I$t
11GF$F+I$t31GF$F+F+I$t21GF$F+F+F+F,F+F+*(F3F+F4F+F*F+F.*&F9F+,&*&F7F+F
4F+F+*&F3F+F8F+F+F+F.F+I#b0GF$F+F+*&,&*&I#a1GF$F+I#b1GF$F+F.I#a2GF$F+F
+I#X1GF$F+F+*&FCF+I#b2GF$F+F+F+F?F." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 28 "a1:=-(t12-t22)*(t22-t32)*b0;" }{MPLTEXT 1 0 1 "\n" }
{MPLTEXT 1 0 15 "simplify(EQ3);\n" }{MPLTEXT 1 0 17 "b0:=1/(t32-t22);
\n" }{MPLTEXT 1 0 15 "simplify(EQ1);\n" }{MPLTEXT 1 0 8 "X1:=t21;" }
{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 15 "simplify(EQ6);\n" }{MPLTEXT 1 0 
25 "a2:=b1*(t32-t22)+t11+t31;" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 15 "
simplify(EQ2);\n" }{MPLTEXT 1 0 15 "simplify(EQ4);\n" }{MPLTEXT 1 0 
20 "b1:=-t31/(t32-t22);\n" }{MPLTEXT 1 0 15 "simplify(EQ4);\n" }
{MPLTEXT 1 0 9 "b2:=t20;\n" }{MPLTEXT 1 0 15 "simplify(EQ7);\n" }
{MPLTEXT 1 0 11 "t30:=1-t20;" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 14 "s
implify(EQ5);" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 
0 18 "a1:=simplify(a1);\n" }{MPLTEXT 1 0 18 "a2:=simplify(a2);\n" }
{MPLTEXT 1 0 18 "b0:=simplify(b0);\n" }{MPLTEXT 1 0 18 "b1:=simplify(b
1);\n" }{MPLTEXT 1 0 18 "b2:=simplify(b2);\n" }{MPLTEXT 1 0 17 "X1:=si
mplify(X1);" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 
1 "\n" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I#a1G6\",$*(,&I$t12GF$\"\"\"I$
t22GF$!\"\"F),&F*F)I$t32GF$F+F)I#b0GF$F)F+" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I#b0G6\"*$,&I$t32
GF$\"\"\"I$t22GF$!\"\"F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I#X1G6\"I$t21GF$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I#a2G6\",(*&I#b1G
F$\"\"\",&I$t32GF$F(I$t22GF$!\"\"F(F(I$t11GF$F(I$t31GF$F(" }}{PARA 11 
"" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 ",$*&,&I$t3
2G6\"!\"\"I$t12GF&\"\"\"F),&*&I#b1GF&F),&I$t22GF&F)F%F'F)F)I$t31GF&F'F
)F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I#b1G6\",$*&I$t31GF$\"\"\",&I$t3
2GF$F(I$t22GF$!\"\"F,F," }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I#b2G6\"I$t20GF$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$t30G6\",&\"\"\"
F&I$t20GF$!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 
1 "" {XPPMATH 20 ">I#a1G6\",&I$t12GF$\"\"\"I$t22GF$!\"\"" }}{PARA 11 "
" 1 "" {XPPMATH 20 ">I#a2G6\"I$t11GF$" }}{PARA 11 "" 1 "" {XPPMATH 20 
">I#b0G6\",$*$,&I$t22GF$\"\"\"I$t32GF$!\"\"F+F+" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I#b1G6\"*&I$t31GF$\"\"\",&I$t22GF$F'I$t32GF$!\"\"F+" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I#b2G6\"I$t20GF$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I#X1G6\"I$t21GF$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 27 "simplify(V1prime(lambda));\n" }{MPLTEXT 1 0 28 "int(V1prime(la
mbda),lambda);" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 11 "V2prime(y);" }
{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 19 "int(V2prime(y),y);\n" }{MPLTEXT 
1 0 1 "\n" }}{PARA 11 "" 1 "" {XPPMATH 20 ",&*&,&I$t12G6\"\"\"\"I$t22G
F&!\"\"F'I'lambdaGF&F'F'I$t11GF&F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ",&
*&,&I$t12G6\"\"\"\"I$t22GF&!\"\"F'I'lambdaGF&\"\"##F'F+*&F*F'I$t11GF&F
'F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ",(*&,&I$t22G6\"\"\"\"I$t32GF&!\"
\"F)I\"yGF&F'F)*&I$t31GF&F'F$F)F'*&I$t20GF&F',&F*F'I$t21GF&F)F)F'" }}
{PARA 11 "" 1 "" {XPPMATH 20 ",(*&I$t20G6\"\"\"\"-I#lnG6$%*protectedGI
(_syslibGF%6#,&I\"yGF%F&I$t21GF%!\"\"F&F&*(I$t31GF%F&,&I$t22GF%F&I$t32
GF%F0F0F.F&F&*&F3F0F.\"\"##F0F7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 20 "C0:=1/(t20*(t12-t22)" }{MPLTEXT 1 0 10 "*(t32-t22)" }{MPLTEXT 
1 0 6 ")* (  " }{MPLTEXT 1 0 31 "(p^3-P1(q)*p^2+P2(q)*p-P3(q)) -" }
{MPLTEXT 1 0 4 "t11*" }{MPLTEXT 1 0 31 "t21*t31+t11*t20*(t22-t32)-t21*
(" }{MPLTEXT 1 0 3 "t12" }{MPLTEXT 1 0 8 "-t32));\n" }{MPLTEXT 1 0 14 
"simplify(EQ8);" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I#C0G6\"**I$t20GF$!
\"\",&I$t12GF$\"\"\"I$t22GF$F'F',&I$t32GF$F*F+F'F',4*$I\"pGF$\"\"$F**&
,*I$t11GF$F*I$t21GF$F*I$t31GF$F**&,(F)F*F+F*F-F*F*I\"qGF$F*F*F*F0\"\"#
F'*&,2*&,(*&F)F*F+F*F**&F)F*F-F*F**&F+F*F-F*F*F*F9F:F**&,(*&,&F5F*F6F*
F*F)F*F**&,&F4F*F6F*F*F+F*F**&F-F*,&F4F*F5F*F*F*F*F9F*F*F)F**&F&F*F+F*
F'*&,&F*F*F&F'F*F-F*F'*&F5F*F4F*F**&F6F*F4F*F**&F5F*F6F*F*F*F0F*F***F9
F1F)F*F+F*F-F*F'*&,(*(F4F*F+F*F-F*F**(F)F*F5F*F-F*F**(F)F*F+F*F6F*F*F*
F9F:F'*&,.FAF'*(F-F*F4F*F5F*F**(F+F*F4F*F6F*F**(F)F*F-F*F&F*F**(F)F*F5
F*F6F*F**(F)F*F+F*FLF*F*F*F9F*F'*(F4F*F5F*F6F*F'*(F4F*F&F*,&F+F*F-F'F*
F**&F5F*,&F-F'F)F*F*F'F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT 246 54 "3. Dual spectral curve and dual spectral curve shifted" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "DualSpectralCurveShifted:
=simplify(series(" }{MPLTEXT 1 0 23 "SpectralCurveGl3Shifted" }
{MPLTEXT 1 0 2 "(y" }{MPLTEXT 1 0 52 ",lambda,Q,P,t12,t22,t32,t11,t21,
t31,t20,t30),y=0)):\n" }{MPLTEXT 1 0 86 "simplify(series(SpectralCurve
Gl2(lambda,y,q,p,s12,s22,s11,s21,X1,s10,s20,sX10),y=0)):\n" }{MPLTEXT 
1 0 33 "ToCancelShifted:=simplify(series(" }{MPLTEXT 1 0 25 "DualSpect
ralCurveShifted-" }{MPLTEXT 1 0 20 "(t22-t32)*(t12-t22)*" }{MPLTEXT 1 
0 13 "(t21-lambda)*" }{MPLTEXT 1 0 70 "SpectralCurveGl2(lambda,y,q,p,s
12,s22,s11,s21,X1,s10,s20,sX10),y=0)):\n" }{MPLTEXT 1 0 54 "ToCancelSh
iftedfunction:=unapply(ToCancelShifted,Q,P):" }{MPLTEXT 1 0 1 "\n" }
{MPLTEXT 1 0 92 "TermProportionalToySquareShifted:=series(simplify(ser
ies((lambda-X1)*residue(ToCancelShifted" }{MPLTEXT 1 0 31 "/y^3,y=0),l
ambda=0)),lambda=0);" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 71 "TermPropo
rtionalToyShifted:=series(simplify(series((lambda-X1)*residue(" }
{MPLTEXT 1 0 15 "ToCancelShifted" }{MPLTEXT 1 0 32 "/y^2,y=0),lambda=0
)),lambda=0);\n" }{MPLTEXT 1 0 12 "TermConstant" }{MPLTEXT 1 0 7 "Shif
ted" }{MPLTEXT 1 0 47 ":=series(simplify(series((lambda-X1)^2*residue(
" }{MPLTEXT 1 0 15 "ToCancelShifted" }{MPLTEXT 1 0 36 "/y,y=0),lambda=
0,10)),lambda=0,10):\n" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 36 "simplif
y(residue(TermProportionalToy" }{MPLTEXT 1 0 28 "Shifted/lambda^5,lamb
da=0));" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 41 "EQ1:=simplify(residue(
TermProportionalToy" }{MPLTEXT 1 0 7 "Shifted" }{MPLTEXT 1 0 21 "/lamb
da^4,lambda=0));" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 41 "EQ2:=simplify
(residue(TermProportionalToy" }{MPLTEXT 1 0 7 "Shifted" }{MPLTEXT 1 0 
22 "/lambda^3,lambda=0)):\n" }{MPLTEXT 1 0 41 "EQ3:=simplify(residue(T
ermProportionalToy" }{MPLTEXT 1 0 7 "Shifted" }{MPLTEXT 1 0 22 "/lambd
a^2,lambda=0)):\n" }{MPLTEXT 1 0 41 "EQ4:=simplify(residue(TermProport
ionalToy" }{MPLTEXT 1 0 7 "Shifted" }{MPLTEXT 1 0 20 "/lambda,lambda=0
)):\n" }{MPLTEXT 1 0 36 "simplify(residue(TermConstantShifted" }
{MPLTEXT 1 0 21 "/lambda^7,lambda=0));" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT
 1 0 41 "EQ5:=simplify(residue(TermConstantShifted" }{MPLTEXT 1 0 21 "
/lambda^6,lambda=0));" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 34 "EQ6:=sim
plify(residue(TermConstant" }{MPLTEXT 1 0 7 "Shifted" }{MPLTEXT 1 0 
22 "/lambda^5,lambda=0)):\n" }{MPLTEXT 1 0 34 "EQ7:=simplify(residue(T
ermConstant" }{MPLTEXT 1 0 7 "Shifted" }{MPLTEXT 1 0 22 "/lambda^4,lam
bda=0)):\n" }{MPLTEXT 1 0 34 "EQ8:=simplify(residue(TermConstant" }
{MPLTEXT 1 0 7 "Shifted" }{MPLTEXT 1 0 22 "/lambda^3,lambda=0)):\n" }
{MPLTEXT 1 0 34 "EQ9:=simplify(residue(TermConstant" }{MPLTEXT 1 0 7 "
Shifted" }{MPLTEXT 1 0 22 "/lambda^2,lambda=0)):\n" }{MPLTEXT 1 0 35 "
EQ10:=simplify(residue(TermConstant" }{MPLTEXT 1 0 7 "Shifted" }
{MPLTEXT 1 0 19 "/lambda,lambda=0)):" }}{PARA 11 "" 1 "" {XPPMATH 20 "
>IATermProportionalToySquareShiftedG6\"\"\"!" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I;TermProportionalToyShiftedG6\"++I'lambdaGF$*&I$t21GF$
\"\"\",**&,**&,&I$s11GF$!\"\"I$s21GF$F0F)F(F)F)I$s10GF$F)I$t20GF$F)F0F
)F)I$t22GF$\"\"#F)*&,&*&,**&,&F1F)F/F)F)I$t12GF$F)F)*&F;F)I$t32GF$F)F)
I$t11GF$F0I$t31GF$F0F)F(F)F)*&,&F<F)F>F)F),(F2F)F3F)F0F)F)F0F)F4F)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)FCF)F)F)\"
\"!,,*&,,*&,&I$s12GF$F0I$s22GF$F0F)F(F5F)*&,&F/F5F1F5F)F(F)F)F2F0F3F0F
)F)F)F4F5F)*&,(*&,(*&,&FQF)FRF)F)F<F)F)F5F)*&FZF)F>F)F)F)F(F5F)*&,**&,
&F/!\"#F1FjnF)F<F)F)*&FinF)F>F)F)F@F5F?F5F)F(F)F)FAF)F)F4F)F)*&,&*&,&F
0F)*&FPF)F>F)F)F)F<F)F)F>F0F)F(F5F)*&,&*&,&*&FTF)F>F)F)F@FjnF)F<F)F)FI
FjnF)F(F)F)FJF0F),,*&,(*&,&FQF5FRF5F)F(F)F)F/F0F1F0F)F4F5F)*&,,*&,(*&,
&FQFjnFRFjnF)F<F)F)!\"%F)*&F`pF)F>F)F)F)F(F)F)F:F)F=F)F?F0F@F0F)F4F)F)
*&,&*&,&F5F)*&FjoF)F>F)F)F)F<F)F)F>F5F)F(F)F)FFF)FIF)F5,**&FPF)F4F5F)*
&FXF)F4F)F)F^oF)F>F0\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I$EQ1G6\",**&,&I$s12GF$!\"\"I$s22GF$F)
\"\"\"I$t22GF$\"\"#F+*&,(*&,&F(F+F*F+F+I$t12GF$F+F+F-F+*&F1F+I$t32GF$F
+F+F+F,F+F+*&,&F)F+*&F'F+F4F+F+F+F2F+F+F4F)" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$EQ5G6\",&\"\"\"
F&**,&I$t12GF$F&I$t22GF$!\"\"F&,&F*F&I$t32GF$F+F&I$s22GF$F&I$s12GF$F&F
&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "solve(\{EQ1,EQ5\},\{t1
2,t32\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$<$/I$t12G6\"*&,&*&I$s12GF
&\"\"\"I$t22GF&F+F+!\"\"F+F+F*F-/I$t32GF&*&,&*&I$s22GF&F+F,F+F+F-F+F+F
3F-<$/F%F0/F/F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{SECT 0 {PARA 3 "" 0 "" {TEXT 247 14 "First Solution" }{TEXT 247 0 "" 
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "t12 := (t22*s12-1)/s12;\n"
 }{MPLTEXT 1 0 24 "t32 := (t22*s22-1)/s22;\n" }{MPLTEXT 1 0 15 "simpli
fy(EQ1);\n" }{MPLTEXT 1 0 15 "simplify(EQ5);\n" }{MPLTEXT 1 0 20 "EQ2:
=simplify(EQ2);\n" }{MPLTEXT 1 0 19 "EQ6:=simplify(EQ6);" }{MPLTEXT 1 
0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$t12G6\"*&,&*&I$t22GF$\"\"\"I
)sinfty12GF$F)F)F)!\"\"F)F*F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$t32G
6\"*&,&*&I$t22GF$\"\"\"I)sinfty22GF$F)F)F)!\"\"F)F*F+" }}{PARA 11 "" 1
 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I$EQ2G6\"*(,**&I$t11GF$\"\"\"I)sinfty12
GF$F)!\"\"*&I$t31GF$F)I)sinfty22GF$F)F+I)sinfty11GF$F+I)sinfty21GF$F+F
)F.F+F*F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$EQ6G6\"*(,&*&,&*&,&I$t11
GF$!\"\"I$t31GF$F,\"\"\"I)sinfty22GF$F.F.I)sinfty21GF$F,F.I)sinfty12GF
$F.F.*&I)sinfty11GF$F.F/F.F,F.F1F,F/F," }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 27 "solve(\{EQ2,EQ6\},\{t11,t31\});" }{MPLTEXT 1 0 1 "\n"
 }{MPLTEXT 1 0 17 "t11 := -s11/s12;\n" }{MPLTEXT 1 0 17 "t31 := -s21/s
22;\n" }{MPLTEXT 1 0 15 "simplify(EQ2);\n" }{MPLTEXT 1 0 15 "simplify(
EQ6);\n" }{MPLTEXT 1 0 20 "EQ3:=simplify(EQ3);\n" }{MPLTEXT 1 0 19 "EQ
7:=simplify(EQ7);" }}{PARA 11 "" 1 "" {XPPMATH 20 "<$/I$t11G6\",$*&I)s
infty11GF%\"\"\"I)sinfty12GF%!\"\"F+/I$t31GF%,$*&I)sinfty21GF%F)I)sinf
ty22GF%F+F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$t11G6\",$*&I)sinfty11G
F$\"\"\"I)sinfty12GF$!\"\"F*" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$t31G6
\",$*&I)sinfty21GF$\"\"\"I)sinfty22GF$!\"\"F*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 
"" 1 "" {XPPMATH 20 ">I$EQ3G6\"*(,(I$t20GF$!\"\"I)sinfty10GF$F(I)sinft
y20GF$F(\"\"\"I)sinfty22GF$F(I)sinfty12GF$F(" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I$EQ7G6\"*(,&*&,(I$t20GF$!\"\"I$t30GF$F*I)sinfty10GF$F*
\"\"\"I)sinfty22GF$F-F-*&I)sinfty12GF$F-,&F+F-I)sinfty20GF$F*F-F-F-F0F
*F.F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "solve(\{EQ3,EQ7\},
\{t20,t30\});" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 17 "t20 := -s10-s20;
\n" }{MPLTEXT 1 0 12 "t30 := s20;\n" }{MPLTEXT 1 0 15 "simplify(EQ3);
\n" }{MPLTEXT 1 0 15 "simplify(EQ7);\n" }{MPLTEXT 1 0 14 "EQ4:=simplif
y(" }{MPLTEXT 1 0 8 "unapply(" }{MPLTEXT 1 0 11 "EQ4,Q,P)):\n" }
{MPLTEXT 1 0 14 "EQ8:=simplify(" }{MPLTEXT 1 0 8 "unapply(" }{MPLTEXT 
1 0 11 "EQ8,Q,P)):\n" }{MPLTEXT 1 0 33 "EQ9:=simplify(unapply(EQ9,Q,P)
):\n" }{MPLTEXT 1 0 34 "EQ10:=simplify(unapply(EQ10,Q,P)):" }}{PARA 11
 "" 1 "" {XPPMATH 20 "<$/I$t20G6\",&I)sinfty10GF%!\"\"I)sinfty20GF%F(/
I$t30GF%F)" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$t20G6\",&I)sinfty10GF$!
\"\"I)sinfty20GF$F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$t30G6\"I)sinft
y20GF$" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "t21:=X
1;\n" }{MPLTEXT 1 0 25 "simplify(EQ4(p,q+t22*p));" }{MPLTEXT 1 0 1 "\n
" }{MPLTEXT 1 0 7 "series(" }{MPLTEXT 1 0 13 "simplify(EQ8(" }{MPLTEXT
 1 0 1 "p" }{MPLTEXT 1 0 3 ",q+" }{MPLTEXT 1 0 13 "t22*p)),p=0);" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I$t21G6\"I#X1GF$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT 212 19 "We find sX10*sX20=0" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 9 "sX10:=0;\n" }{MPLTEXT 1 0 9 "simplify(" }
{MPLTEXT 1 0 24 "ToCancelShiftedfunction(" }{MPLTEXT 1 0 9 "p,q+t22*p"
 }{MPLTEXT 1 0 3 "));" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I%sX10G6\"\"\"
!" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 10 "t12:=t12;\n" }{MPLTEXT 1 0 10 "t32:=t32;\n" }{MPLTEXT
 1 0 10 "t22:=t22;\n" }{MPLTEXT 1 0 10 "t11:=t11;\n" }{MPLTEXT 1 0 10 
"t21:=t21;\n" }{MPLTEXT 1 0 10 "t31:=t31;\n" }{MPLTEXT 1 0 10 "t20:=t2
0;\n" }{MPLTEXT 1 0 10 "t30:=t30;\n" }{MPLTEXT 1 0 11 "sX10:=sX10;" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I$t12G6\"*&,&*&I$t22GF$\"\"\"I)sinfty12
GF$F)F)F)!\"\"F)F*F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$t32G6\"*&,&*&
I$t22GF$\"\"\"I)sinfty22GF$F)F)F)!\"\"F)F*F+" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I$t22G6\"F#" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$t11G6\",
$*&I)sinfty11GF$\"\"\"I)sinfty12GF$!\"\"F*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I$t21G6\"I#X1GF$" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$t31
G6\",$*&I)sinfty21GF$\"\"\"I)sinfty22GF$!\"\"F*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I$t20G6\",&I)sinfty10GF$!\"\"I)sinfty20GF$F'" }}{PARA 11
 "" 1 "" {XPPMATH 20 ">I$t30G6\"I)sinfty20GF$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I%sX10G6\"\"\"!" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT 247 
15 "Second Solution" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "t12 :
= (t22*s22-1)/s22;\n" }{MPLTEXT 1 0 23 "t32 := (t22*s12-1)/s12;" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I$t12G6\"*&,&*&I$t22GF$\"\"\"I)sinfty22
GF$F)F)F)!\"\"F)F*F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$t32G6\"*&,&*&
I$t22GF$\"\"\"I)sinfty12GF$F)F)F)!\"\"F)F*F+" }}}{EXCHG {PARA 0 "> " 0
 "" {MPLTEXT 1 0 15 "simplify(EQ1);\n" }{MPLTEXT 1 0 15 "simplify(EQ5)
;\n" }{MPLTEXT 1 0 20 "EQ2:=simplify(EQ2);\n" }{MPLTEXT 1 0 19 "EQ6:=s
implify(EQ6);" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 
"" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$EQ2G6\"*(,**
&I$t11GF$\"\"\"I)sinfty22GF$F)!\"\"*&I$t31GF$F)I)sinfty12GF$F)F+I)sinf
ty11GF$F+I)sinfty21GF$F+F)F*F+F.F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I
$EQ6G6\"*(,&*&,&*&,&I$t11GF$!\"\"I$t31GF$F,\"\"\"I)sinfty22GF$F.F.I)si
nfty21GF$F,F.I)sinfty12GF$F.F.*&F/F.I)sinfty11GF$F.F,F.F1F,F/F," }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "solve(\{EQ2,EQ6\},\{t11,t31
\});\n" }{MPLTEXT 1 0 17 "t11 := -s21/s22;\n" }{MPLTEXT 1 0 17 "t31 :=
 -s11/s12;\n" }{MPLTEXT 1 0 15 "simplify(EQ2);\n" }{MPLTEXT 1 0 15 "si
mplify(EQ6);\n" }{MPLTEXT 1 0 20 "EQ3:=simplify(EQ3);\n" }{MPLTEXT 1 
0 19 "EQ7:=simplify(EQ7);" }}{PARA 11 "" 1 "" {XPPMATH 20 "<$/I$t11G6
\",$*&I)sinfty21GF%\"\"\"I)sinfty22GF%!\"\"F+/I$t31GF%,$*&I)sinfty11GF
%F)I)sinfty12GF%F+F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$t11G6\",$*&I)
sinfty21GF$\"\"\"I)sinfty22GF$!\"\"F*" }}{PARA 11 "" 1 "" {XPPMATH 20 
">I$t31G6\",$*&I)sinfty11GF$\"\"\"I)sinfty12GF$!\"\"F*" }}{PARA 11 "" 
1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I$EQ3G6\"*(,(I$t20GF$!\"\"I)sinfty10GF$
F(I)sinfty20GF$F(\"\"\"I)sinfty22GF$F(I)sinfty12GF$F(" }}{PARA 11 "" 1
 "" {XPPMATH 20 ">I$EQ7G6\"*(,&*&,(I$t20GF$!\"\"I$t30GF$F*I)sinfty20GF
$F*\"\"\"I)sinfty12GF$F-F-*&I)sinfty22GF$F-,&F+F-I)sinfty10GF$F*F-F-F-
F.F*F0F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "solve(\{EQ3,EQ7
\},\{t20,t30\});\n" }{MPLTEXT 1 0 17 "t20 := -s10-s20;\n" }{MPLTEXT 1 
0 12 "t30 := s10;\n" }{MPLTEXT 1 0 15 "simplify(EQ3);\n" }{MPLTEXT 1 
0 15 "simplify(EQ7);\n" }{MPLTEXT 1 0 33 "EQ4:=simplify(unapply(EQ4,Q,
P)):\n" }{MPLTEXT 1 0 33 "EQ8:=simplify(unapply(EQ8,Q,P)):\n" }
{MPLTEXT 1 0 33 "EQ9:=simplify(unapply(EQ9,Q,P)):\n" }{MPLTEXT 1 0 34 
"EQ10:=simplify(unapply(EQ10,Q,P)):" }}{PARA 11 "" 1 "" {XPPMATH 20 "<
$/I$t20G6\",&I)sinfty10GF%!\"\"I)sinfty20GF%F(/I$t30GF%F'" }}{PARA 11 
"" 1 "" {XPPMATH 20 ">I$t20G6\",&I)sinfty10GF$!\"\"I)sinfty20GF$F'" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I$t30G6\"I)sinfty10GF$" }}{PARA 11 "" 1
 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "t21:=X1;\n" }{MPLTEXT 1 0 26 
"simplify(EQ4(p,q+t22*p));\n" }{MPLTEXT 1 0 37 "series(simplify(EQ8(p,
q+t22*p)),p=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$t21G6\"I#X1GF$" }}
{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "+
%I\"pG6\"*,I%sX10GF$\"\"\",(F&F'I)sinfty10GF$F'I)sinfty20GF$F'F'I)sinf
ty22GF$!\"\"I)sinfty12GF$F,,&I\"qGF$F,I#X1GF$F'F,\"\"!" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT 212 19 "We find sX10*sX20=0" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 9 "sX10:=0;\n" }{MPLTEXT 1 0 45 "simplify(ToCanc
elShiftedfunction(p,q+t22*p));" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I%sX1
0G6\"\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"!" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 10 "t12:=t12;\n" }{MPLTEXT 1 0 10 "t32:=t32;\n" 
}{MPLTEXT 1 0 10 "t22:=t22;\n" }{MPLTEXT 1 0 10 "t11:=t11;\n" }
{MPLTEXT 1 0 10 "t21:=t21;\n" }{MPLTEXT 1 0 10 "t31:=t31;\n" }{MPLTEXT
 1 0 10 "t20:=t20;\n" }{MPLTEXT 1 0 10 "t30:=t30;\n" }{MPLTEXT 1 0 11 
"sX10:=sX10;" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$t12G6\"*&,&*&I$t22GF$
\"\"\"I)sinfty22GF$F)F)F)!\"\"F)F*F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "
>I$t32G6\"*&,&*&I$t22GF$\"\"\"I)sinfty12GF$F)F)F)!\"\"F)F*F+" }}{PARA 
11 "" 1 "" {XPPMATH 20 ">I$t22G6\"F#" }}{PARA 11 "" 1 "" {XPPMATH 20 "
>I$t11G6\",$*&I)sinfty21GF$\"\"\"I)sinfty22GF$!\"\"F*" }}{PARA 11 "" 1
 "" {XPPMATH 20 ">I$t21G6\"I#X1GF$" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I
$t31G6\",$*&I)sinfty11GF$\"\"\"I)sinfty12GF$!\"\"F*" }}{PARA 11 "" 1 "
" {XPPMATH 20 ">I$t20G6\",&I)sinfty10GF$!\"\"I)sinfty20GF$F'" }}{PARA 
11 "" 1 "" {XPPMATH 20 ">I$t30G6\"I)sinfty10GF$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I%sX10G6\"\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 0 "" }}}}}
{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 99 100 1803 1 1 1 1 }{PAGENUMBERS 0 
1 2 33 1 1 }