{VERSION 5 0 "IBM INTEL NT" "5.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 
0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" 0 21 "" 0 1 0 0 0 1 0 0 0 0 2 0 0 0 0 1 }{PSTYLE "Normal" 
-1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 
0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Text Output" -1 6 1 {CSTYLE "" -1 
-1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 2 1 3 1 }1 1 0 0 0 0 1 0 1 0 
2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 
0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Map
le Output" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 
1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 
{CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 
0 1 0 1 0 2 2 0 1 }}
{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG 
{PARA 0 "" 0 "" {MPLTEXT 0 21 24 "Standard Worksheet SSSPF" }{TEXT -1 
0 "" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 9 "Nariai IV" }}}{EXCHG 
{PARA 0 "" 0 "" {MPLTEXT 0 21 57 "Physical quatities are defined in th
e initialization file" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "grt
s();" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%=GRTensorII~Version~1.79~(R4)
G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%06~February~2001G" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#%ZDeveloped~by~Peter~Musgrave,~Denis~Pollney~and
~Kayll~LakeG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%DCopyright~1994-2001~
by~the~authors.G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%inLatest~version~
available~from:~http://grtensor.phy.queensu.ca/G" }}{PARA 6 "" 1 "" 
{TEXT -1 32 "Created definition for G(up,dn) " }}{PARA 6 "" 1 "" 
{TEXT -1 26 "Created definition for rho" }}{PARA 6 "" 1 "" {TEXT -1 
26 "Created definition for Iso" }}{PARA 6 "" 1 "" {TEXT -1 24 "Created
 definition for p" }}{PARA 6 "" 1 "" {TEXT -1 34 "Created definition f
or gthetatheta" }}{PARA 6 "" 1 "" {TEXT -1 38 "Created definition for \+
R(dn,dn,up,up) " }}{PARA 6 "" 1 "" {TEXT -1 27 "Created definition for
 mass" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%FD:/Xitami/webpages/GRTensor
J/MetricssG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "qload(niva);
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%2Default~spacetimeG%%nivaG" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#%8For~the~niva~spacetime:G" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#%,CoordinatesG" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#-%\"xG6#%#upG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&/)%#x~G%\"1G%#x
iG/)F%%\"2G%&thetaG/)F%%\"3G%$phiG/)F%%\"4G%\"tG" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#%-Line~elementG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*$)
%$~dsG\"\"#\"\"\",***%\"RGF'-%$cosG6#,(-%'arccosG6#%\"fGF(%\"kG!\"\"*&
F4F()%#xiGF'F(F(!\"#%#~dGF()F8%#2~GF(F(*,F+F'F8F'F,F9F:F()%&thetaGF<F(
F(*.F+F'F8F'-%$sinG6#F?F'F,F9F:F()%$phiGF<F(F(**F,F9-F-6#,(-F16#%\"cGF
(*&-%%sqrtG6#F'F(F4F(F5*(FNF(F4F(F7F(F(F'F:F()%\"tGF<F(F5" }}{PARA 12 
"" 1 "" {XPPMATH 20 "6#/%,ConstraintsG7%/%\"fG*(\"\"$#\"\"\"\"\"#,&%&a
lphaG\"#7F+F+!\"\"*&,(F.F,F+F+*&F,F+-%%sqrtG6#*&,&F.F+F,F0F+F.F+F+F+F+
F-F+F*/%\"kG,$*&-F56#F)F+-F56#*&F+F+F.F0F+#F0F,/%\"cG**,(F.F+F,F0*&\"
\"&F+F4F+F0F+F)F*F2F+*&,0*$)F.F)F+\"$/#*&\"$u$F+)F.F,F+F0*(F/F+FPF+F4F
+F0*&\"\"(F+F.F+F0*(\"$a\"F+F.F+F4F+F+F)F+*&\"#:F+F4F+F+F+F2F+FB" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#%jrNariai~IV~(H.~Nariai,~Sci.~Rep.~Toh
oku~Univ.~Ser.~1~~34~no~3~160~(1950).~~Also~see~Sci.~Rep.~Tohoku~Univ.
~Ser.~1~~35~62~(1951))G" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 19 "P
hysical parameters" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "grcal
cd(Iso,rho,p,mass);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%*CPU~Time~G$
\"$@\"!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%8For~the~niva~spacetime
:G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%$IsoG" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#/%$IsoG%8All~components~are~zeroG" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#%$rhoG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%$rhoG,$**%
\"kG\"\"\",(*()%#xiG\"\"#F()-%$sinG6#,(-%'arccosG6#%\"fGF(F'!\"\"*&F'F
(F+F(F(F-F(F'F(\"\"$*(F9F(-%$cosGF1F(F/F(F(**F-F(F'F(F+F()F;F-F(F(F(%
\"RG!\"#%#PiGF7#F7F-" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%\"pG" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#/%\"pG,$*,%\"RG!\"#%\"kG\"\"\",**(-%$c
osG6#,(-%'arccosG6#%\"fGF*F)!\"\"*&F)F*)%#xiG\"\"#F*F*F*-F.6#,(-F26#%
\"cGF**&-%%sqrtG6#F9F*F)F*F5*(FAF*F)F*F7F*F*F*-%$sinGF/F*F(*,\"\"$F*F:
F*F7F*)FEF9F*F)F*F5*0F9F*F)F*F7F*-FFF;F*FAF*F-F*FEF*F**()F-F9F*FKF*FAF
*F*F*F:F5%#PiGF5#F5F9" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%%massG" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#/%%massG,$*,*(%\"RG\"\"#%#xiGF)-%$cosG
6#,(-%'arccosG6#%\"fG\"\"\"%\"kG!\"\"*&F4F3)F*F)F3F3!\"##\"\"$F)F(F8-%
$sinGF-F3F4F3,&F+F3*(F7F3F;F3F4F3F3F3F8" }}}{EXCHG {PARA 0 "" 0 "" 
{MPLTEXT 0 21 19 "Junction conditions" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 73 "f1:=subs(beta=1/alpha,sqrt(3)*sqrt((2+beta+2*sqrt(1-2
*beta))/(12+beta))):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "k1:
=-1/2*sqrt(3)*sqrt(1/alpha):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 60 "c1:=1/(sqrt(1+(1-f1^2)*(7*f1^2-3)^2/(2*f1^2*(5*f1^2-3)^2))):" }}
}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 14 "Perssure plots" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "pj:=subs(c=c1,k=k1,f=f1,grcomponent
(p,[])):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "p1:=subs(R=1,al
pha=6,pj): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "p2:=subs(R=1
,alpha=5,pj):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "p3:=subs(R
=1,alpha=4,pj):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "p4:=subs
(R=1,alpha=3,pj):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 84 "plot([
p1,p2,p3,p4],xi=0..1,color=[red,green,blue,black],title=\"Pressure Nar
iai IV\");" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6)-%
'CURVESG6$7S7$$\"\"!F)$\"3'\\dT&[*\\B3\"!#>7$$\"3emmm;arz@F,$\"3]8`'p[
p33\"F,7$$\"3[LL$e9ui2%F,$\"3%oGG'G%zr2\"F,7$$\"3nmmm\"z_\"4iF,$\"31x(
e00$Qq5F,7$$\"3[mmmT&phN)F,$\"3%ePDwr`21\"F,7$$\"3CLLe*=)H\\5!#=$\"3i2
.#e%GX[5F,7$$\"3gmm\"z/3uC\"FD$\"3_u%3K'HpM5F,7$$\"3%)***\\7LRDX\"FD$
\"3P[t#)3o8=5F,7$$\"3]mm\"zR'ok;FD$\"3cx[Z)=Bk)**!#?7$$\"3w***\\i5`h(=
FD$\"3GYE92&\\#p(*FV7$$\"3WLLL3En$4#FD$\"3s`/vQhSB&*FV7$$\"3qmm;/RE&G#
FD$\"3kPy3'*>?*G*FV7$$\"3\")*****\\K]4]#FD$\"3O4%3j@#>2!*FV7$$\"3$****
**\\PAvr#FD$\"3b0Q!>(y41()FV7$$\"3)******\\nHi#HFD$\"3_X2knYg+%)FV7$$
\"3jmm\"z*ev:JFD$\"3TlPBMub6\")FV7$$\"3?LLL347TLFD$\"3'[Xt=wl_v(FV7$$
\"3,LLLLY.KNFD$\"3F$R\\/vwUW(FV7$$\"3w***\\7o7Tv$FD$\"39;%fX$*RQ2(FV7$
$\"3'GLLLQ*o]RFD$\"3GGtLnCyRnFV7$$\"3A++D\"=lj;%FD$\"3)fP7JV_%ojFV7$$
\"31++vV&R<P%FD$\"3O&)3%*>[!>,'FV7$$\"3WLL$e9Ege%FD$\"3%*fqwnMkQcFV7$$
\"3GLLeR\"3Gy%FD$\"3e\\\"Q%*3FjH&FV7$$\"3cmm;/T1&*\\FD$\"3D5zLbnCH\\FV
7$$\"3&em;zRQb@&FD$\"3#z)30g#=@b%FV7$$\"3\\***\\(=>Y2aFD$\"3uPL#**=8(G
UFV7$$\"39mm;zXu9cFD$\"3#f;8,Rif)QFV7$$\"3l******\\y))GeFD$\"3gU1s]kYS
NFV7$$\"3'*)***\\i_QQgFD$\"3B!p$42qL7KFV7$$\"3@***\\7y%3TiFD$\"3`FPqRO
R0HFV7$$\"35****\\P![hY'FD$\"3!)*[\"oBP4yDFV7$$\"3kKLL$Qx$omFD$\"3!o[#
)>vZsH#FV7$$\"3!)*****\\P+V)oFD$\"3w`fk2fK7?FV7$$\"3?mm\"zpe*zqFD$\"3+
dn4K%>$o<FV7$$\"3%)*****\\#\\'QH(FD$\"3Q5nj/-#y^\"FV7$$\"3GKLe9S8&\\(F
D$\"3#e<2%*fC$)H\"FV7$$\"3R***\\i?=bq(FD$\"3uO'=cp:j3\"FV7$$\"3\"HLL$3
s?6zFD$\"3w(ptqnLx'*)!#@7$$\"3a***\\7`Wl7)FD$\"3;!y$y6[qvrFgw7$$\"3#pm
mm'*RRL)FD$\"3[ky&>0\\)QcFgw7$$\"3Qmm;a<.Y&)FD$\"3s$>URao5E%Fgw7$$\"3=
LLe9tOc()FD$\"37)zGwOo!*3$Fgw7$$\"3u******\\Qk\\*)FD$\"3Ki[u8`O#=#Fgw7
$$\"3CLL$3dg6<*FD$\"30>'ybU$*=M\"Fgw7$$\"3ImmmmxGp$*FD$\"3#G*pJvGvrw!#
A7$$\"3A++D\"oK0e*FD$\"3edQAM\"e>M$F[z7$$\"3A++v=5s#y*FD$\"3usv!p9W=#)
)!#B7$$\"\"\"F)$!3$)pr@8x,05!#M-%'COLOURG6&%$RGBG$\"*++++\"!\")F(F(-F$
6$7S7$F($\"3K9@BDPq)p\"F,7$F.$\"3w(yvChfip\"F,7$F3$\"3%ot$*=2p,p\"F,7$
F8$\"3AFB:$yc*y;F,7$F=$\"3IAmmOE3j;F,7$FB$\"31c!pF^CGk\"F,7$FH$\"3JzK)
3G!>?;F,7$FM$\"39:h&3r$*Hf\"F,7$FR$\"3aOl:rE-h:F,7$FX$\"34)[ITlsa_\"F,
7$Fgn$\"33soYjTJ&[\"F,7$F\\o$\"3Kq%y?USrW\"F,7$Fao$\"3<Wi7-FG,9F,7$Ffo
$\"3)eXbN%=X_8F,7$F[p$\"34EuKd\\/.8F,7$F`p$\"3AnUe2_Uc7F,7$Fep$\"3Gzjt
Y,8*>\"F,7$Fjp$\"3W,d&R)RF\\6F,7$F_q$\"3GWPbHY2!4\"F,7$Fdq$\"3`,j>!pjo
.\"F,7$Fiq$\"3GBnUFM5z(*FV7$F^r$\"3g@)HpVq\\@*FV7$Fcr$\"36Ts+:[UE')FV7
$Fhr$\"3UM'=DW/&)3)FV7$F]s$\"3nGJ+,Vi8vFV7$Fbs$\"3FTblEN7DpFV7$Fgs$\"3
.\")Qy@M<AkFV7$F\\t$\"3mXu_tu(3*eFV7$Fat$\"3Yu8XZ3:d`FV7$Fft$\"3?O(fp+
i>&[FV7$F[u$\"3Q4h)3984Q%FV7$F`u$\"3k2mU]BE!)QFV7$Feu$\"3shUasM._MFV7$
Fju$\"3;Q#>\"=`*)=IFV7$F_v$\"3q80o*o<!\\EFV7$Fdv$\"3#o&>+8QLqAFV7$Fiv$
\"3%4'3=WtRR>FV7$F^w$\"3+npj^Wa?;FV7$Fcw$\"3[&f\"*fzdhL\"FV7$Fiw$\"3yR
=%4!y)y1\"FV7$F^x$\"3Olu4HG)HQ)Fgw7$Fcx$\"3zb_i,+iGjFgw7$Fhx$\"3aD&)H-
G3%e%Fgw7$F]y$\"3I=wWzzROKFgw7$Fby$\"3C2^**HVt))>Fgw7$Fgy$\"3N/_h+1[O6
Fgw7$F]z$\"35n&R'G%*4\\\\F[z7$Fbz$\"3N=x(>q3iI\"F[z7$Fhz$!3ox'zU]nA*HF
\\[l-F^[l6&F`[lF(Fa[lF(-F$6$7S7$F($\"37zlk:l*f9$F,7$F.$\"3u!)pI4u'49$F
,7$F3$\"3=Q;?V>WGJF,7$F8$\"37v<#*z#3a5$F,7$F=$\"3s[-(=w_G2$F,7$FB$\"3P
0#HW&**RJIF,7$FH$\"3!)>.'4()3_)HF,7$FM$\"3sR/;n$z)HHF,7$FR$\"3=mo05g2l
GF,7$FX$\"3/mx443K$z#F,7$Fgn$\"3fn()z7]k7FF,7$F\\o$\"37*\\7R^Hjj#F,7$F
ao$\"3#)*)z:218XDF,7$Ffo$\"3Cau%=F*e[CF,7$F[p$\"3)=nac:/:N#F,7$F`p$\"3
#GYO*o8WgAF,7$Fep$\"3oy3nYvC\\@F,7$Fjp$\"3I*Rt#3Q8`?F,7$F_q$\"3$z^qMq!
yR>F,7$Fdq$\"3O&)[gVegQ=F,7$Fiq$\"3Vdu+T\\HF<F,7$F^r$\"3`X$3gDY:i\"F,7
$Fcr$\"3G![GiN;?^\"F,7$Fhr$\"3)3@9=?:ET\"F,7$F]s$\"3A@Rdf%GrI\"F,7$Fbs
$\"3/\"R*)ynO**>\"F,7$Fgs$\"3!R))>U5j*36F,7$F\\t$\"3GoPlH\")\\85F,7$Fa
t$\"3_Zg2LGa#=*FV7$Fft$\"3Q\"y!=5O6(G)FV7$F[u$\"31S#[,OTvX(FV7$F`u$\"3
q'>G\"\\h^\"e'FV7$Feu$\"3uH!ywl%)o$eFV7$Fju$\"3IhA\"[tL\")3&FV7$F_v$\"
3I4y$*4%*G_WFV7$Fdv$\"3npr(pYNZ!QFV7$Fiv$\"3Q:vt*f5<C$FV7$F^w$\"3t&[-K
$z#=q#FV7$Fcw$\"3/>Fq&G&[AAFV7$Fiw$\"3wzj9\\qBs<FV7$F^x$\"3gU\"z0%\\V)
Q\"FV7$Fcx$\"3wjff]1CY5FV7$Fhx$\"3]/tL,8*fc(Fgw7$F]y$\"3XG$oPkSYL&Fgw7
$Fby$\"3Q5(\\,G;RF$Fgw7$Fgy$\"3g<2***['>p=Fgw7$F]z$\"37Iu^2z$R8)F[z7$F
bz$\"3EK6kH,\"e9#F[z7$Fhz$!3qyh4Y\"\\1Y$F\\[l-F^[l6&F`[lF(F(Fa[l-F$6$7
S7$F($\"3#zyKFiQMT*F,7$F.$\"3%4;(yds(=R*F,7$F3$\"38RZw`HIQ$*F,7$F8$\"3
Y:\")=J2DS#*F,7$F=$\"3YO/7<**o-\"*F,7$FB$\"3n$[QEK]#H*)F,7$FH$\"39FNlh
`@Q()F,7$FM$\"3t_cEgPU7&)F,7$FR$\"3WpA9!z#4_#)F,7$FX$\"3w!H9>3**)ozF,7
$Fgn$\"3GBzFu]ocwF,7$F\\o$\"3s@SnE[?ntF,7$Fao$\"3Wn'yW)z^GqF,7$Ffo$\"3
av0\"zzA$ymF,7$F[p$\"3paPQa)4XL'F,7$F`p$\"3.h5dy)*Q>gF,7$Fep$\"3dyI\"[
z[Rk&F,7$Fjp$\"31Q]y_pUF`F,7$F_q$\"3#eJi'>WLj\\F,7$Fdq$\"3%\\p;te!\\YY
F,7$Fiq$\"3)fckKmikI%F,7$F^r$\"3-51i--Y\"*RF,7$Fcr$\"3%*Gjc'4xJn$F,7$F
hr$\"33d*G%>:9\"R$F,7$F]s$\"3o;e8`%=()4$F,7$Fbs$\"3Bvu=`lh3GF,7$Fgs$\"
31eo`W*Hyc#F,7$F\\t$\"3ia=Ir\\P?BF,7$Fat$\"3_0ftmxpy?F,7$Fft$\"3itfOuc
7c=F,7$F[u$\"3CddnY!fQl\"F,7$F`u$\"3RN#ep\\1VW\"F,7$Feu$\"31,ZS1@Sp7F,
7$Fju$\"3_'\\N1#zZ'4\"F,7$F_v$\"3`&G-i`E$>&*FV7$Fdv$\"3KM/,x%)*)o!)FV7
$Fiv$\"3B24es-aDoFV7$F^w$\"3]zm#3$G$)[cFV7$Fcw$\"3lkk%z=Fph%FV7$Fiw$\"
3M]m*4!f!)eOFV7$F^x$\"3/8:yp\"p2&GFV7$Fcx$\"35S%G;u[s8#FV7$Fhx$\"3Dv-5
crdQ:FV7$F]y$\"3G?z'pX333\"FV7$Fby$\"3<pm1<jb3mFgw7$Fgy$\"3AH32mGaiPFg
w7$F]z$\"3xg)RiiCLj\"Fgw7$Fbz$\"3syBD;6@,VF[z7$FhzF(-F^[l6&F`[lF)F)F)-
%+AXESLABELSG6$Q#xi6\"Q!F^hm-%&TITLEG6#Q3Pressure~Nariai~IVF^hm-%%VIEW
G6$;F(Fhz%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 
45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" }}}}{EXCHG 
{PARA 0 "" 0 "" {MPLTEXT 0 21 20 "Energy density plots" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "rhoj:=subs(c=c1,k=k1,f=f1,grcompone
nt(rho,[])):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "rho1:=subs(
R=1,alpha=6,rhoj): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "rho2
:=subs(R=1,alpha=5,rhoj):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
29 "rho3:=subs(R=1,alpha=4,rhoj):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 29 "rho4:=subs(R=1,alpha=3,rhoj):" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 98 "plot([rho1,rho2,rho3,rho4],xi=0..1,color=[red,
green,blue,black],title=\"Energy Density Nariai IV\");" }}{PARA 13 "" 
1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6)-%'CURVESG6$7S7$$\"\"!F)$\"3
'y'f(4oH;\"z!#>7$$\"3emmm;arz@F,$\"3I@W0lIW3zF,7$$\"3[LL$e9ui2%F,$\"3J
HNWwE[+zF,7$$\"3nmmm\"z_\"4iF,$\"3E,A:3Xv&)yF,7$$\"3[mmmT&phN)F,$\"3O*
e;))ePZ'yF,7$$\"3CLLe*=)H\\5!#=$\"36.RBv1jPyF,7$$\"3gmm\"z/3uC\"FD$\"3
(>r.cLdp!yF,7$$\"3%)***\\7LRDX\"FD$\"3]l(*fCrapxF,7$$\"3]mm\"zR'ok;FD$
\"3M*)*>&4CxCxF,7$$\"3w***\\i5`h(=FD$\"3+#=w\\sPRn(F,7$$\"3WLLL3En$4#F
D$\"3Kuz)4kI^h(F,7$$\"3qmm;/RE&G#FD$\"3Q3SE#o3yb(F,7$$\"3\")*****\\K]4
]#FD$\"3CZS;NQ-([(F,7$$\"3$******\\PAvr#FD$\"3&\\7pu;6#4uF,7$$\"3)****
**\\nHi#HFD$\"371qzx,wFtF,7$$\"3jmm\"z*ev:JFD$\"3#[ph$=7B[sF,7$$\"3?LL
L347TLFD$\"3Gyc@P6oYrF,7$$\"3,LLLLY.KNFD$\"3Q$p<m9TY0(F,7$$\"3w***\\7o
7Tv$FD$\"32`w1J]`SpF,7$$\"3'GLLLQ*o]RFD$\"3/_bvw97LoF,7$$\"3A++D\"=lj;
%FD$\"3tR=!z)zB3nF,7$$\"31++vV&R<P%FD$\"3GT-mE8P#e'F,7$$\"3WLL$e9Ege%F
D$\"3\\][#yM(pVkF,7$$\"3GLLeR\"3Gy%FD$\"3*)z*Q%[bj4jF,7$$\"3cmm;/T1&*
\\FD$\"3AwT=#\\,x:'F,7$$\"3&em;zRQb@&FD$\"3KhlC/$*o\"*fF,7$$\"3\\***\\
(=>Y2aFD$\"3@bZ&)osDSeF,7$$\"39mm;zXu9cFD$\"3AZr:!)pMpcF,7$$\"3l******
\\y))GeFD$\"3uO.AkHh%[&F,7$$\"3'*)***\\i_QQgFD$\"3oT[2)R4dH&F,7$$\"3@*
**\\7y%3TiFD$\"38pK4B#)40^F,7$$\"35****\\P![hY'FD$\"3)e))GRVgU)[F,7$$
\"3kKLL$Qx$omFD$\"3_Su['oBun%F,7$$\"3!)*****\\P+V)oFD$\"3[Nbco!QwW%F,7
$$\"3?mm\"zpe*zqFD$\"3jY&>a?-8B%F,7$$\"3%)*****\\#\\'QH(FD$\"3cRjqYZ!e
)RF,7$$\"3GKLe9S8&\\(FD$\"3%*z;rjX4YPF,7$$\"3R***\\i?=bq(FD$\"3%=I8<ER
j[$F,7$$\"3\"HLL$3s?6zFD$\"3GC1r&))[JA$F,7$$\"3a***\\7`Wl7)FD$\"3+E<ob
*ow$HF,7$$\"3#pmmm'*RRL)FD$\"3cC4(47XHl#F,7$$\"3Qmm;a<.Y&)FD$\"3=zT%eb
(p^BF,7$$\"3=LLe9tOc()FD$\"3C#G34<EF/#F,7$$\"3u******\\Qk\\*)FD$\"37a,
C-7r\\<F,7$$\"3CLL$3dg6<*FD$\"3%[:)p-&3IS\"F,7$$\"3ImmmmxGp$*FD$\"3O1Z
o$HTH3\"F,7$$\"3A++D\"oK0e*FD$\"3fwrku'Q<J(!#?7$$\"3A++v=5s#y*FD$\"3&)
\\XXn:1UQF^z7$$\"\"\"F)$\"3Y-$3\"f(z))\\#!#M-%'COLOURG6&%$RGBG$\"*++++
\"!\")F(F(-F$6$7S7$F($\"3UB?r7!**G+*F,7$F.$\"3Gj&Rr\"pT***)F,7$F3$\"3k
Muc!p<2**)F,7$F8$\"3C6wVq)>Y(*)F,7$F=$\"3s:#*=#\\U;&*)F,7$FB$\"3=J9z\"
p'*>#*)F,7$FH$\"3'o(fU>kV))))F,7$FM$\"3=\"4:5=&[Z))F,7$FR$\"3UVi&=fV%)
z)F,7$FW$\"3K1%Rz!osU()F,7$Ffn$\"3g\"\\[7JA#y')F,7$F[o$\"3Lo46,gH:')F,
7$F`o$\"3&y=0<(>_P&)F,7$Feo$\"3#znc/pR>X)F,7$Fjo$\"3]0rpn)fAO)F,7$F_p$
\"3QM$H5r-YF)F,7$Fdp$\"3!zW_\"y6ai\")F,7$Fip$\"3=+4-qt%31)F,7$F^q$\"3q
+IFk\"3Y$zF,7$Fcq$\"3_xKQi*3c\"yF,7$Fhq$\"3[zx?j'eqn(F,7$F]r$\"3h/[-yq
?PvF,7$Fbr$\"3I(>&H\\\\)GQ(F,7$Fgr$\"3Nv8'3YgMB(F,7$F\\s$\"3+3x0d=%Q1(
F,7$Fas$\"33$47gr!=yoF,7$Ffs$\"3`8_R()\\`3nF,7$F[t$\"3R4:*RhUn^'F,7$F`
t$\"3lE3'R$y04jF,7$Fet$\"3-)H4eB(G'4'F,7$Fjt$\"3!y;D6(\\>\")eF,7$F_u$
\"3VB\\SXj]JcF,7$Fdu$\"3c$G\"4ja=(R&F,7$Fiu$\"3O$fBS/cj8&F,7$F^v$\"3I?
*\\5m:.*[F,7$Fcv$\"3-q\"=@'Rc5YF,7$Fhv$\"3:L'[\"oH'oL%F,7$F]w$\"3.\"zn
&*Q&oRSF,7$Fbw$\"3*Qyvk]rzt$F,7$Fgw$\"3WO9Xtp.5MF,7$F\\x$\"3k>j^w+I#3$
F,7$Fax$\"3Zcut'yP[t#F,7$Ffx$\"3EFHJn&QxP#F,7$F[y$\"3uIlI!*GUQ?F,7$F`y
$\"3c$Hr2>Phj\"F,7$Fey$\"3'*4\"o@f:SE\"F,7$Fjy$\"3ppKR#RvCa)F^z7$F`z$
\"3_ZXwvf*G\\%F^z7$Fez$\"35$pcD\"Gpo8Fiz-F[[l6&F][lF(F^[lF(-F$6$7S7$F(
$\"3#Q&G#y`;B.\"FD7$F.$\"3&zl8)=M%>.\"FD7$F3$\"33)p*3P6,J5FD7$F8$\"3;<
aAxaGH5FD7$F=$\"3HjnDc7#o-\"FD7$FB$\"3Z#z)y++kB5FD7$FH$\"3r>l/\\h.?5FD
7$FM$\"39%[@2*\\j:5FD7$FR$\"3;UY6>\"f.,\"FD7$FW$\"3&33>iGeV+\"FD7$Ffn$
\"3#[kXL!)>S(**F,7$F[o$\"3KL+qyj11**F,7$F`o$\"3j+^WSW&>#)*F,7$Feo$\"36
r%pffS#H(*F,7$Fjo$\"3h!od`;8>j*F,7$F_p$\"3*GcTE_5m`*F,7$Fdp$\"3Kx&eDCL
XT*F,7$Fip$\"30j$\\**4>NI*F,7$F^q$\"37yGX4!4a;*F,7$Fcq$\"3yT$3sn>\\.*F
,7$Fhq$\"3_;&RkMJE)))F,7$F]r$\"3h[9L&=F&G()F,7$Fbr$\"3U&e@XOP!e&)F,7$F
gr$\"33;>>Bq_#R)F,7$F\\s$\"3#*>9h4b9/#)F,7$Fas$\"3_#\\M&)[Zt*zF,7$Ffs$
\"3qH<FuJ&y!yF,7$F[t$\"3KWf,</-$f(F,7$F`t$\"3/KIxIZoftF,7$Fet$\"3*4*3&
=N)*)>rF,7$Fjt$\"35Ml)ogdn(oF,7$F_u$\"3a^%*\\YUg$f'F,7$Fdu$\"3O(=!RQ)=
qK'F,7$Fiu$\"3(H'RAb[KHgF,7$F^v$\"3Y\\rR'=>wu&F,7$Fcv$\"3Zm1@9iHEaF,7$
Fhv$\"3MwQ%y)[!46&F,7$F]w$\"3S'y3I]ctw%F,7$Fbw$\"3T:8YB\\U<WF,7$Fgw$\"
373$*e\\Q#e.%F,7$F\\x$\"3Sni?\"G(=`OF,7$Fax$\"3=y9vEw=YKF,7$Ffx$\"34Q^
sg-_EGF,7$F[y$\"3IR,K;C]ECF,7$F`y$\"3/(y>XHH2&>F,7$Fey$\"3&\\\"pRcg@4:
F,7$Fjy$\"3x7lL@W_@5F,7$F`z$\"3C,J@)*eg!Q&F^z7$Fez$\"3u9#)y`_t!f%Fiz-F
[[l6&F][lF(F(F^[l-F$6$7S7$F($\"33;@7x4^i6FD7$F.$\"3AA<B[b9i6FD7$F3$\"3
)eWCa@K7;\"FD7$F8$\"31#Hp.jS&f6FD7$F=$\"31))z9CG7d6FD7$FB$\"3#4@FLg(*R
:\"FD7$FH$\"3!\\4u!o>X]6FD7$FM$\"3m>.NuV6Y6FD7$FR$\"3>\"Q^1(Q!49\"FD7$
FW$\"3'42sM;j\\8\"FD7$Ffn$\"3X.M$y!y0G6FD7$F[o$\"3?*fHi,$H@6FD7$F`o$\"
3])\\`rl$*G6\"FD7$Feo$\"3_[\")3pCg.6FD7$Fjo$\"3ONd9LC\"Q4\"FD7$F_p$\"3
Y64/'R!>%3\"FD7$Fdp$\"3+6]I8W\"=2\"FD7$Fip$\"3ul$)f49^g5FD7$F^q$\"3Gr8
j^iQY5FD7$Fcq$\"3=A&*y7s(H.\"FD7$Fhq$\"3J++8$*>D<5FD7$F]r$\"3(f\\9Kgd7
+\"FD7$Fbr$\"32+%=)3/pM)*F,7$Fgr$\"3)or&o/C3h'*F,7$F\\s$\"3O.FWe2Ti%*F
,7$Fas$\"3!\\'y.GV.V#*F,7$Ffs$\"3(on>%pl'3/*F,7$F[t$\"3qQamoQP5))F,7$F
`t$\"3!)*=Sco;&e&)F,7$Fet$\"3)p%R4oG5)H)F,7$Fjt$\"3WVF)y$[WK!)F,7$F_u$
\"3KX&4Yj)4@xF,7$Fdu$\"3_%)Q^UF4EuF,7$Fiu$\"3!o'Qmo'zX4(F,7$F^v$\"3Y!H
=7-7*ynF,7$Fcv$\"3oU[Os8g;kF,7$Fhv$\"3CkS6!*RsegF,7$F]w$\"3]9cQ77WmcF,
7$Fbw$\"33vP(>.GVE&F,7$Fgw$\"3INXhDM+B[F,7$F\\x$\"3c:p1(oMwP%F,7$Fax$
\"3q:qEgk*3!RF,7$Ffx$\"3cs%QbV!>1MF,7$F[y$\"3Rh@0C**zJHF,7$F`y$\"3O\">
HCV!4kBF,7$Fey$\"3#4UWad4S$=F,7$Fjy$\"3&yLAP+&*\\C\"F,7$F`z$\"3'zZc)3O
7wlF^z7$FezF(-F[[l6&F][lF)F)F)-%+AXESLABELSG6$Q#xi6\"Q!F[hm-%&TITLEG6#
Q9Energy~Density~Nariai~IVF[hm-%%VIEWG6$;F(Fez%(DEFAULTG" 1 2 0 1 10 
0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curv
e 3" "Curve 4" }}}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 10 "Mass plots
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "mj:=subs(c=c1,k=k1,f=f1
,grcomponent(mass,[])):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "
mj1:=subs(R=1,alpha=6,mj): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
26 "mj2:=subs(R=1,alpha=5,mj):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 26 "mj3:=subs(R=1,alpha=4,mj):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 26 "mj4:=subs(R=1,alpha=3,mj):" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 84 "plot([mj1,mj2,mj3,mj4],xi=0..1,color=[red,green,bl
ue,black],title=\"Mass Nariai IV\");" }}{PARA 13 "" 1 "" {GLPLOT2D 
400 300 300 {PLOTDATA 2 "6)-%'CURVESG6$7S7$$\"\"!F)F(7$$\"3emmm;arz@!#
>$\"3)Rk\")fD>g>'!#B7$$\"3[LL$e9ui2%F-$\"3uJrn/OLYS!#A7$$\"3nmmm\"z_\"
4iF-$\"3$zl!)=?1iU\"!#@7$$\"3[mmmT&phN)F-$\"37k%fTe<FY$F<7$$\"3CLLe*=)
H\\5!#=$\"3U7`mH*)3AoF<7$$\"3gmm\"z/3uC\"FE$\"3+U3MwOqR6!#?7$$\"3%)***
\\7LRDX\"FE$\"3!*yz8e3<(y\"FM7$$\"3]mm\"zR'ok;FE$\"3M*)\\yb-AoEFM7$$\"
3w***\\i5`h(=FE$\"3O>aM$y([%y$FM7$$\"3WLLL3En$4#FE$\"3#p\"Q_CZ`._FM7$$
\"3qmm;/RE&G#FE$\"3]UT9xn;(p'FM7$$\"3\")*****\\K]4]#FE$\"3m[0QQ;Hn')FM
7$$\"3$******\\PAvr#FE$\"3!\\]l+%>k'4\"F-7$$\"3)******\\nHi#HFE$\"3K!e
h%42h\\8F-7$$\"3jmm\"z*ev:JFE$\"3(*=(e]Mqlg\"F-7$$\"3?LLL347TLFE$\"3W
\">&4$\\)>Y>F-7$$\"3,LLLLY.KNFE$\"3E\"zaUhwGE#F-7$$\"3w***\\7o7Tv$FE$
\"3K&**)Rr4NkEF-7$$\"3'GLLLQ*o]RFE$\"3I*G2Adi)[IF-7$$\"3A++D\"=lj;%FE$
\"3\"3!e?SNF,NF-7$$\"31++vV&R<P%FE$\"3+4;teMggRF-7$$\"3WLL$e9Ege%FE$\"
3S/(G%3u)zY%F-7$$\"3GLLeR\"3Gy%FE$\"3w%pP_6Iw&\\F-7$$\"3cmm;/T1&*\\FE$
\"3(p7Rc7\\#4bF-7$$\"3&em;zRQb@&FE$\"3wC)z,vtb5'F-7$$\"3\\***\\(=>Y2aF
E$\"3y-t)eUO=k'F-7$$\"39mm;zXu9cFE$\"3I#R-apukB(F-7$$\"3l******\\y))Ge
FE$\"3EXLIdjykyF-7$$\"3'*)***\\i_QQgFE$\"3WQhW'o\\,\\)F-7$$\"3@***\\7y
%3TiFE$\"3$zsOJFZA5*F-7$$\"35****\\P![hY'FE$\"3q!)o<n%[iy*F-7$$\"3kKLL
$Qx$omFE$\"3aXZ2fI8S5FE7$$\"3!)*****\\P+V)oFE$\"3xP;d2QZ06FE7$$\"3?mm
\"zpe*zqFE$\"3CQ%eZc[S;\"FE7$$\"3%)*****\\#\\'QH(FE$\"3X$ydE25qA\"FE7$
$\"3GKLe9S8&\\(FE$\"3!eT(>WG&[G\"FE7$$\"3R***\\i?=bq(FE$\"35tEQ\\fXV8F
E7$$\"3\"HLL$3s?6zFE$\"3!=5.(*H+&)R\"FE7$$\"3a***\\7`Wl7)FE$\"3#)fh0!
\\wKX\"FE7$$\"3#pmmm'*RRL)FE$\"3oWV*o<4G]\"FE7$$\"3Qmm;a<.Y&)FE$\"3I[O
Qe8p\\:FE7$$\"3=LLe9tOc()FE$\"3%zl8&yg*=f\"FE7$$\"3u******\\Qk\\*)FE$
\"3FE<Er\"Rki\"FE7$$\"3CLL$3dg6<*FE$\"3wS&QwaO/m\"FE7$$\"3ImmmmxGp$*FE
$\"3'o:ERT:_o\"FE7$$\"3A++D\"oK0e*FE$\"3uB+/f$G^q\"FE7$$\"3A++v=5s#y*F
E$\"3Pj0Qx#Rsr\"FE7$$\"\"\"F)$\"35pY]$zu=s\"FE-%'COLOURG6&%$RGBG$\"*++
++\"!\")F(F(-F$6$7SF'7$F+$\"3#RxSX*[k8\")F07$F2$\"3WkYB1uh(H&F67$F8$\"
3it-%ysvl'=F<7$F>$\"3x\"\\9;u$fHXF<7$FC$\"3$4^BT7v\"=*)F<7$FI$\"3%o!H*
Qp%y)[\"FM7$FO$\"3GH1R8P\\KBFM7$FT$\"3IaUw(><(yMFM7$FY$\"3?y_0xqBG\\FM
7$Fhn$\"3?rQ*[n:qw'FM7$F]o$\"3#)>E@Ya9)p)FM7$Fbo$\"3?<k\"**H;R7\"F-7$F
go$\"3K!\\;p8J'>9F-7$F\\p$\"3)=A#ot20W<F-7$Fap$\"3SkK@]?js?F-7$Ffp$\"3
'RyS&e$Hb]#F-7$F[q$\"3jZcZ*o;y!HF-7$F`q$\"34_u)RmLgT$F-7$Feq$\"3,&*)H)
RL)4!RF-7$Fjq$\"3WK)QD69%pWF-7$F_r$\"3E#H`WMXU/&F-7$Fdr$\"3'oINl1Dmn&F
-7$Fir$\"3u#z[tP*R%G'F-7$F^s$\"3MHr#)QxDmpF-7$Fcs$\"3wO1MbK3+xF-7$Fhs$
\"3+XWVMC:d$)F-7$F]t$\"3AYt'GJuE3*F-7$Fbt$\"3s$pGpx[e%)*F-7$Fgt$\"3Y*z
(Q%f,-1\"FE7$F\\u$\"36`qna**)Q8\"FE7$Fau$\"3#*4yH*Hie@\"FE7$Ffu$\"3a#R
*oLdC*G\"FE7$F[v$\"3;BQNud'oO\"FE7$F`v$\"3:\\[he(ehV\"FE7$Fev$\"34%zBP
\\S.^\"FE7$Fjv$\"3w!p4GY?#y:FE7$F_w$\"3#p$*)Qs;tY;FE7$Fdw$\"3&\\(eL$*f
%3r\"FE7$Fiw$\"3+]TX]IUu<FE7$F^x$\"3:Hy6,FsJ=FE7$Fcx$\"3wmd[())*y&)=FE
7$Fhx$\"3\">B$)*H[KM>FE7$F]y$\"3o73\"Q`^R(>FE7$Fby$\"3j*>%oLc'G,#FE7$F
gy$\"31*>YEds6/#FE7$F\\z$\"3uTr`I])Q1#FE7$Faz$\"3+5Y&4A\"ox?FE7$Ffz$\"
3'y1c6HdH3#FE-F[[l6&F][lF(F^[lF(-F$6$7SF'7$F+$\"3%[+'4)G8@<\"F67$F2$\"
3'H]zU&H^]wF67$F8$\"3))[?/dm&Rp#F<7$F>$\"3z$G))4?C<`'F<7$FC$\"3u=I+!p#
e%G\"FM7$FI$\"3R(RG%o`yT@FM7$FO$\"3SGyEHj\\]LFM7$FT$\"3#*HF*>)z0))\\FM
7$FY$\"35e7!G%*QB0(FM7$Fhn$\"3Y$p7.S::m*FM7$F]o$\"3u:Gcu*R\"R7F-7$Fbo$
\"37#)Q)z?kof\"F-7$Fgo$\"3!\\=Kf%R@6?F-7$F\\p$\"3%H0%oa3`jCF-7$Fap$\"3
;tC*G!GR>HF-7$Ffp$\"3<`so<rq;NF-7$F[q$\"3;e=**>&='oSF-7$F`q$\"3K3</'\\
3<w%F-7$Feq$\"32HAr2E$*=aF-7$Fjq$\"3#3\\?!QRO%='F-7$F_r$\"3QOL)y@-K&pF
-7$Fdr$\"3ef]))z)oJz(F-7$Fir$\"3s4)))R(\\'[f)F-7$F^s$\"3)*>>MH[&z[*F-7
$Fcs$\"3WYJ'*oR=W5FE7$Fhs$\"3#zf(R(er*G6FE7$F]t$\"3v2;M^R#>A\"FE7$Fbt$
\"3N*GbDlf*=8FE7$Fgt$\"3H?E'o+rVT\"FE7$F\\u$\"3s?xz$[gm]\"FE7$Fau$\"3A
6'RA6T&3;FE7$Ffu$\"3Kuw[%fe!*p\"FE7$F[v$\"3qpr.uh5%z\"FE7$F`v$\"3ULc/H
@Oy=FE7$Fev$\"3'>y0<&)\\z'>FE7$Fjv$\"3mv(3n%)z$\\?FE7$F_w$\"3<<x1^U/J@
FE7$Fdw$\"3^%Q2D;)*p?#FE7$Fiw$\"3)zTeH;t=G#FE7$F^x$\"3!ec$f_A)*[BFE7$F
cx$\"3g)Gcpn%)>T#FE7$Fhx$\"3M)y(HSuFoCFE7$F]y$\"3@WC$pFaS^#FE7$Fby$\"3
a,?h'zY)eDFE7$Fgy$\"3!*\\Uyv\"G8f#FE7$F\\z$\"3*R`xn%eK<EFE7$Faz$\"3!)G
%Ry<(3LEFE7$Ffz$\"3^nXmJs5REFE-F[[l6&F][lF(F(F^[l-F$6$7SF'7$F+$\"3m8Fg
)fHj4#F67$F2$\"3Gvb<f!HtO\"F<7$F8$\"3b*=VwQg%3[F<7$F>$\"3m!z1Rc#pj6FM7
$FC$\"3YaDQvj=$G#FM7$FI$\"3)z)f(>\\Gmz$FM7$FO$\"3k3z1&oj,#fFM7$FT$\"3+
[92K#p,y)FM7$FY$\"3(yvQGX)4O7F-7$Fhn$\"3#Rr@58>_o\"F-7$F]o$\"3Q7(=A[U8
:#F-7$Fbo$\"3-S\\\"[/*zcFF-7$Fgo$\"3O!yT8:&3^MF-7$F\\p$\"3F,#)*f/15?%F
-7$Fap$\"3/Fz)om%*)[\\F-7$Ffp$\"3df=AiN_<fF-7$F[q$\"3>&\\VFV\"p,oF-7$F
`q$\"3I2YK**>-)*yF-7$Feq$\"3CC%48TWQ#*)F-7$Fjq$\"3f\"o:IkO-,\"FE7$F_r$
\"3H\"p+,ADp7\"FE7$Fdr$\"3CFdq[Va_7FE7$Fir$\"3!y$eyh@oq8FE7$F^s$\"3@O3
:LpK+:FE7$Fcs$\"3WD+z#*)ylj\"FE7$Fhs$\"312+7U`\"ev\"FE7$F]t$\"3WJ\">Yd
cX)=FE7$Fbt$\"3B\\oC;hz;?FE7$Fgt$\"33/0')y(>Z9#FE7$F\\u$\"35zvOQY^mAFE
7$Fau$\"3=a'pUc\"z)R#FE7$Ffu$\"3]-KfkdV9DFE7$F[v$\"3#)>Ppe&**Rj#FE7$F`
v$\"3diK]LgTQFFE7$Fev$\"3U5uE)*z%y%GFE7$Fjv$\"3-(o>&)[;f%HFE7$F_w$\"3(
zDEt!Q&H/$FE7$Fdw$\"3CA=BCo/KJFE7$Fiw$\"3*\\E5TZ-)=KFE7$F^x$\"3Ku7&e$R
n&H$FE7$Fcx$\"3#znU-C&4nLFE7$Fhx$\"3x![)='H7.V$FE7$F]y$\"3cRl,[FJ\"[$F
E7$Fby$\"3p6@#oPq3`$FE7$Fgy$\"3k=hWGnfmNFE7$F\\z$\"3CHrS%Rl]f$FE7$Faz$
\"36Ve-E%pAh$FE7$Ffz$\"3$)G&))>`G)=OFE-F[[l6&F][lF)F)F)-%+AXESLABELSG6
$Q#xi6\"Q!Fdgm-%&TITLEG6#Q/Mass~Nariai~IVFdgm-%%VIEWG6$;F(Ffz%(DEFAULT
G" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "
Curve 2" "Curve 3" "Curve 4" }}}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 
8 "Trapping" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 25 "Potential imp
ac parameter" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 89 "B:=radsimp(
sqrt(grcomponent(g(dn,dn),[theta,theta]))/sqrt(-grcomponent(g(dn,dn),[
t,t])));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"BG*(%\"RG\"\"\"%#xiGF'
-%$cosG6#,(-%'arccosG6#%\"cGF'*&-%%sqrtG6#\"\"#F'%\"kGF'!\"\"*(F2F'F6F
')F(F5F'F'F7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "Bj:=subs(R=
1,c=c1,k=k1,f=f1,B):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "B1:
=subs(alpha=3.1,Bj):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "B2:
=subs(alpha=3.11,Bj):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "B3
:=subs(alpha=3.12,Bj):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "B
4:=subs(alpha=3.13,Bj):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 90 "
plot([B1,B2,B3,B4],xi=0.75..0.95,color=[red,green,blue,black],title=\"
Trapping Nariai IV\");" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 
{PLOTDATA 2 "6)-%'CURVESG6$7S7$$\"3++++++++v!#=$\"3Aq`mSLq37!#<7$$\"3W
LLL3VfVvF*$\"3u9U`rCx37F-7$$\"3smm\"H[D:e(F*$\"3\"HK***\\+#)37F-7$$\"3
WLL$e0$=CwF*$\"3Jq_l..')37F-7$$\"3gLL$3RBrm(F*$\"3.X&*y7u))37F-7$$\"3=
mm\"zjf)4xF*$\"3c\">[!4=!*37F-7$$\"3)HL$e4;[\\xF*$\"3q!=\"z2Y!*37F-7$$
\"3Y++Dmy]!z(F*$\"3tvFsnu*)37F-7$$\"3(HL$ezs$H$yF*$\"3$z%\\8M+))37F-7$
$\"31++D@1BvyF*$\"3\"4K>b>`)37F-7$$\"3.mmm@Xt=zF*$\"36Hvgwk\")37F-7$$
\"3cLL$3y_q&zF*$\"34>>Rxqx37F-7$$\"3=+++l+>+!)F*$\"3%HZg&zas37F-7$$\"3
a*****\\Z/N/)F*$\"3VtN,]mm37F-7$$\"3W*****\\$fC&3)F*$\"3!\\mFZ(Rg37F-7
$$\"3LLLez6:B\")F*$\"3!\\[Rd^U&37F-7$$\"3ummm\"=C#o\")F*$\"3o0wW![k%37
F-7$$\"3;mmmEpS1#)F*$\"3Q8rw8ZR37F-7$$\"3%)***\\i`A3D)F*$\"3ZrQB'**4$3
7F-7$$\"3ommmwy8!H)F*$\"3e_VUrBB37F-7$$\"3g***\\i.tKL)F*$\"3QcfI\")\\9
37F-7$$\"3Y***\\(3zMu$)F*$\"3gX];(=g!37F-7$$\"3emm;H_?<%)F*$\"3wH%=1pq
z?\"F-7$$\"3mmm\"zihlX)F*$\"3HI?')=\"))y?\"F-7$$\"3kKL$3#G,*\\)F*$\"3(
\\%4J8#*z27F-7$$\"3sKLezw5V&)F*$\"3edpIqwq27F-7$$\"37++v$Q#\\\"e)F*$\"
3o<l%H;Hw?\"F-7$$\"3yKL$e\"*[Hi)F*$\"3=v)G[8Yv?\"F-7$$\"3[******pvxl')
F*$\"3**)>*zVGY27F-7$$\"3C++]_qn2()F*$\"3JuF[oVQ27F-7$$\"31++Dcp@[()F*
$\"33>w%[z6t?\"F-7$$\"3O****\\2'HKz)F*$\"31x:b(oNs?\"F-7$$\"3'emmmZvO$
))F*$\"3UQvz]=<27F-7$$\"3I*****\\2go())F*$\"3@\"4\">4!4r?\"F-7$$\"3CLL
eR<*f\"*)F*$\"3?/:u%Gdq?\"F-7$$\"3u*****\\)Hxe*)F*$\"3\"eQ2$Qp+27F-7$$
\"3Ymm\"H!o-***)F*$\"3NNv)e'f'p?\"F-7$$\"35++DTO5T!*F*$\"3#*zpZ!GIp?\"
F-7$$\"3OmmmT9C#3*F*$\"3`*[uI%H!p?\"F-7$$\"3C***\\i!*3`7*F*$\"3wGT2aG)
o?\"F-7$$\"3%HLLL*zym\"*F*$\"3%eq8EEso?\"F-7$$\"3GLL$3N1#4#*F*$\"3\\(4
AR$3(o?\"F-7$$\"33nm\"HYt7D*F*$\"3cgO[:$zo?\"F-7$$\"3%*******p(G**G*F*
$\"3yU<ELi*o?\"F-7$$\"3@mm;9@BM$*F*$\"3x.QN&)o#p?\"F-7$$\"3[LLL`v&QP*F
*$\"3Q:?vY\\'p?\"F-7$$\"3g***\\i`1hT*F*$\"35(yb_3<q?\"F-7$$\"3;***\\P?
WlX*F*$\"3ba@L6'yq?\"F-7$$\"3a*************\\*F*$\"3]*)fZ2z:27F--%'COL
OURG6&%$RGBG$\"*++++\"!\")$\"\"!F`[lF_[l-F$6$7gn7$F($\"3j??[x.J07F-7$$
\"3Gnm;arz@vF*$\"3r`h#z:o`?\"F-7$F/$\"3t&4Y2\">U07F-7$$\"3k+]i&*)fDc(F
*$\"3V$yNj[la?\"F-7$F4$\"3$[k(3ih]07F-7$F9$\"3aj/#*4ue07F-7$F>$\"3HWe6
<bl07F-7$FC$\"3yZ>[Z/r07F-7$FH$\"3EYR([e]d?\"F-7$FM$\"3P@f4g=y07F-7$FR
$\"3I,g&**)Q!e?\"F-7$$\"3'fm;/&R3ayF*$\"3T_j3u6\"e?\"F-7$FW$\"33@Oy<h
\"e?\"F-7$$\"3/L$e9d#)p*yF*$\"3X)GAM&)=e?\"F-7$Ffn$\"3zHNF+$>e?\"F-7$$
\"3z***\\7l$*y$zF*$\"3Ym\\+ty\"e?\"F-7$F[o$\"3[T_>2[\"e?\"F-7$F`o$\"3@
#fsjB-e?\"F-7$Feo$\"3,3\\H1By07F-7$Fjo$\"3,%emS%ov07F-7$F_p$\"3dmIiW*G
d?\"F-7$Fdp$\"3#QNB\\_!p07F-7$Fip$\"37S\"**32ac?\"F-7$F^q$\"3QV*=%=yg0
7F-7$Fcq$\"3V*\\'>&)Rc07F-7$Fhq$\"3@ZeS#R8b?\"F-7$F]r$\"3EtD1oLY07F-7$
Fbr$\"36mDJp)4a?\"F-7$Fgr$\"3eJ![@5g`?\"F-7$F\\s$\"3CfYr4jI07F-7$Fas$
\"3`-?nT4D07F-7$Ffs$\"3![`dzn._?\"F-7$F[t$\"3G_'Hh8a^?\"F-7$F`t$\"3@<
\"Q!f^507F-7$Fet$\"3s[Pjx*f]?\"F-7$Fjt$\"3T)z7'e$>]?\"F-7$F_u$\"3axLrL
%y\\?\"F-7$Fdu$\"3C1`FVf%\\?\"F-7$Fiu$\"3J%evEH;\\?\"F-7$F^v$\"3t6F.(R
%*[?\"F-7$Fcv$\"3=N,C$Rw[?\"F-7$Fhv$\"3)e$=w(fl[?\"F-7$$\"3GLL3A_1?!*F
*$\"3y3!4W[i[?\"F-7$F]w$\"3#QroD>h[?\"F-7$$\"3CL$e9as;1*F*$\"3*3TSJvh[
?\"F-7$Fbw$\"3%\\g;z<k[?\"F-7$$\"3!GLeR<vP5*F*$\"3@qrrz(o[?\"F-7$Fgw$
\"3DtKDgb([?\"F-7$F\\x$\"3wQdp:]*[?\"F-7$Fax$\"3g6*Qx/C\\?\"F-7$Ffx$\"
3JllpsC'\\?\"F-7$F[y$\"3BfEctm+07F-7$F`y$\"3ie5MB$o]?\"F-7$Fey$\"36C\\
dkQ807F-7$Fjy$\"3%)>K#)[]@07F-7$$\"3Q******p`KO%*F*$\"3*Rhi2<e_?\"F-7$
F_z$\"3glf\\JTI07F-7$$\"3O**\\(=5s#y%*F*$\"3YreW\\nN07F-7$Fdz$\"3y8AOw
FT07F--Fiz6&F[[lF_[lF\\[lF_[l-F$6$7S7$F($\"3BfZQG7(>?\"F-7$F/$\"3>3'fp
LC@?\"F-7$F4$\"3'[57-bWA?\"F-7$F9$\"3)>9TA+mB?\"F-7$F>$\"3[:*RCKuC?\"F
-7$FC$\"3WI_i:!pD?\"F-7$FH$\"3P[jX&yXE?\"F-7$FM$\"3!pS^Ov9F?\"F-7$FR$
\"36T^S4bx-7F-7$FW$\"3#z*>)z2EG?\"F-7$Ffn$\"3ypl?D%oG?\"F-7$F[o$\"3H$e
jv>)*G?\"F-7$F`o$\"3k6M_TR#H?\"F-7$Feo$\"328zJ0A%H?\"F-7$Fjo$\"3IN+9&G
`H?\"F-7$F_p$\"3AY8XV$eH?\"F-7$Fdp$\"3y$o8I$)eH?\"F-7$Fip$\"3=1%z55bH?
\"F-7$F^q$\"3F)ftbjYH?\"F-7$Fcq$\"3oyth,g$H?\"F-7$Fhq$\"35=#=Zc@H?\"F-
7$F]r$\"3`2f[2d!H?\"F-7$Fbr$\"3(4FKge()G?\"F-7$Fgr$\"3=<W1h+(G?\"F-7$F
\\s$\"3vE&**Hy]G?\"F-7$Fas$\"3\"H_Kl(4$G?\"F-7$Ffs$\"3l%[;&HW\"G?\"F-7
$F[t$\"3It*)47yz-7F-7$F`t$\"3`Q)pid#y-7F-7$Fet$\"3$\\2.h8qF?\"F-7$Fjt$
\"3d)R+S%4w-7F-7$F_u$\"3#**)efBYv-7F-7$Fdu$\"3zceInHv-7F-7$Fiu$\"3o]&)
=ofv-7F-7$F^v$\"3Q6O\"*=Mw-7F-7$Fcv$\"3XPjDPsx-7F-7$Fhv$\"3(z_'[Nhz-7F
-7$F]w$\"3FRX17D#G?\"F-7$Fbw$\"3p2pMR`&G?\"F-7$Fgw$\"3XA3X'p(*G?\"F-7$
F\\x$\"3*zHFqsYH?\"F-7$Fax$\"3xZd%Qu0I?\"F-7$Ffx$\"3I'yvlktI?\"F-7$F[y
$\"39%R3#3Z9.7F-7$F`y$\"3Ig#y!yoB.7F-7$Fey$\"3bYIsx%HL?\"F-7$Fjy$\"30?
pFk#RM?\"F-7$F_z$\"3t96t%[bN?\"F-7$Fdz$\"3jd!yU.$p.7F--Fiz6&F[[lF_[lF_
[lF\\[l-F$6$7S7$F($\"3#pGGtb%o)>\"F-7$F/$\"3#y(46Q%y))>\"F-7$F4$\"3_!)
4$G#R.*>\"F-7$F9$\"3[Pyx6[>*>\"F-7$F>$\"3%3)zP#eU$*>\"F-7$FC$\"3Q_Q0*G
w%*>\"F-7$FH$\"3;j=80!*e*>\"F-7$FM$\"3;t'oV'\\p*>\"F-7$FR$\"3?(\\&=HPz
*>\"F-7$FW$\"3#\\x;J$>))*>\"F-7$Ffn$\"3-5B#*GF'**>\"F-7$F[o$\"3i!\\xP9
E+?\"F-7$F`o$\"3pD\"e*4&*3+7F-7$Feo$\"3.*eA9GX,?\"F-7$Fjo$\"3b*o^1D#>+
7F-7$F_p$\"3iq0L\"oH-?\"F-7$Fdp$\"3&)4g*HRo-?\"F-7$Fip$\"3f*HZ&3oH+7F-
7$F^q$\"3e!*))=qaK+7F-7$Fcq$\"3Mx]0fuM+7F-7$Fhq$\"3Y(yMPbo.?\"F-7$F]r$
\"3$o^\\pF'Q+7F-7$Fbr$\"3.<4sGHS+7F-7$Fgr$\"3\\mdQ)4</?\"F-7$F\\s$\"3p
\\zm^<V+7F-7$Fas$\"3eAmV4pW+7F-7$Ffs$\"3jc?!fcg/?\"F-7$F[t$\"3'HC,cKw/
?\"F-7$F`t$\"3f)3mJF%\\+7F-7$Fet$\"3JTjzNS^+7F-7$Fjt$\"38@[Xcd`+7F-7$F
_u$\"3>!H7uZj0?\"F-7$Fdu$\"36?.9c@f+7F-7$Fiu$\"3+mNm#GF1?\"F-7$F^v$\"3
@7t]4Om+7F-7$Fcv$\"3&HZ#eU(32?\"F-7$Fhv$\"3cV%3M'ov+7F-7$F]w$\"3k:!od`
83?\"F-7$Fbw$\"3d)[Thtv3?\"F-7$Fgw$\"3pREw$e[4?\"F-7$F\\x$\"37FiOHn-,7
F-7$Fax$\"3^vRsm_6,7F-7$Ffx$\"3Q$oII>77?\"F-7$F[y$\"3.<%QMq48?\"F-7$F`
y$\"3\")*oYu#>V,7F-7$Fey$\"3$eo9V<^:?\"F-7$Fjy$\"3))z3ZI\"*o,7F-7$F_z$
\"3j$4(**z?$=?\"F-7$Fdz$\"3(Q.h35)*>?\"F--Fiz6&F[[lF`[lF`[lF`[l-%+AXES
LABELSG6$Q#xi6\"Q!F_[n-%&TITLEG6#Q3Trapping~Nariai~IVF_[n-%%VIEWG6$;$
\"#v!\"#$\"#&*F[\\n%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 
45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" }}}}
{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 9 "w - modes" }}}{EXCHG {PARA 0 "
" 0 "" {MPLTEXT 0 21 9 "Potential" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 102 "V:=1/((Bj^2))*(6+4*Pi*xi^2*R^2*(grcomponent(rho,[])-
grcomponent(p,[]))-6*grcomponent(mass,[])/(xi*R)):" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 31 "Vj:=subs(R=1,c=c1,k=k1,f=f1,V):" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "V1:=subs(alpha=2.96,Vj):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "V2:=subs(alpha=2.97,Vj):" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "V3:=subs(alpha=3,Vj):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "V4:=subs(alpha=3.04,Vj):" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 89 "plot([V1,V2,V3,V4],xi=0.7..
1.0,color=[red,green,blue,black],title=\"w - modes Nariai IV\");" }}
{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6)-%'CURVESG6$7U7$
$\"3a**************p!#=$\"3?RsV$4y*)[#!#<7$$\"3;****\\i9RlqF*$\"3O:Ag5
Ny)[#F-7$$\"3k**\\PC#)GArF*$\"3e0!4#))3!*)[#F-7$$\"3s***\\Peui=(F*$\"3
ikbL![J$*[#F-7$$\"3U***\\i3&o]sF*$\"3iV\"\\;$H1!\\#F-7$$\"3P**\\(oX*y9
tF*$\"3mP1-3f1\"\\#F-7$$\"39+]P9CAutF*$\"3a\">jj&>A#\\#F-7$$\"3:**\\P*
zhdV(F*$\"3%)**z6u%HO\\#F-7$$\"3c**\\P>fS*\\(F*$\"39k]4'Q!H&\\#F-7$$\"
3m**\\(=$f%Gc(F*$\"3'R5\\f.Lr\\#F-7$$\"3q****\\#y,\"GwF*$\"3/F^A;9?*\\
#F-7$$\"3!****\\7<zbo(F*$\"33$4#Q13:,DF-7$$\"3G****\\(4&G]xF*$\"3#>O&*
)=$oM]#F-7$$\"3V****\\7nD:yF*$\"3())\\J<80f]#F-7$$\"3Q++]-*oy(yF*$\"3k
[#eh&oL3DF-7$$\"35+]PpnsMzF*$\"3%4Eru:*f5DF-7$$\"3C++]siL-!)F*$\"3KSsf
c]L8DF-7$$\"3M*******Q5'f!)F*$\"3=1r'R=uc^#F-7$$\"3K**\\P/QBE\")F*$\"3
)H-=Mo)R=DF-7$$\"39+++:o?&=)F*$\"3YOm#eK&z?DF-7$$\"31+]Pa&4*\\#)F*$\"3
#GmM.?)QBDF-7$$\"3&)**\\7j=_6$)F*$\"3m!f!*[I-e_#F-7$$\"3a++vVy!eP)F*$
\"3w'HOnUV#GDF-7$$\"34+](=WU[V)F*$\"3k9)eIC(RIDF-7$$\"3=++DJ#>&)\\)F*$
\"3&4;nXj1E`#F-7$$\"3w**\\P>:mk&)F*$\"3dr0l/]vMDF-7$$\"3t**\\iv&QAi)F*
$\"3/#4*R;f[ODF-7$$\"3%)***\\PPBWo)F*$\"3bh#)>C:>QDF-7$$\"3!******\\Nm
'[()F*$\"3*>F[:Kb(RDF-7$$\"3\"****\\(yb^6))F*$\"3D:7>(\\q5a#F-7$$\"3?+
]PMaKs))F*$\"3#=%)HLdA@a#F-7$$\"3t***\\7TW)R*)F*$\"3)*>E*zV:Ia#F-7$$\"
3,+++:K^+!*F*$\"3yGlb*)=bVDF-7$$\"3i****\\7,Hl!*F*$\"30Gld3r#Qa#F-7$$
\"3U**\\P4w)R7*F*$\"3pmz@IWzVDF-7$$\"3s****\\x%f\")=*F*$\"3Za,[vNVVDF-
7$$\"3!)**\\P/-a[#*F*$\"3MZHdQrwUDF-7$$\"3E+](=Yb;J*F*$\"3k_Op_TrTDF-7
$$\"3k****\\i@Ot$*F*$\"33'\\*ylcJSDF-7$$\"33+]PfL'zV*F*$\"3C/l'*[FWQDF
-7$$\"3j+++!*>=+&*F*$\"3wp.-dmAODF-7$$\"3-++DE&4Qc*F*$\"3i0l!G4DN`#F-7
$$\"3<+]P%>5pi*F*$\"3i-rL;[RIDF-7$$\"3g+++bJ*[o*F*$\"3TX*R>q3r_#F-7$$
\"3_++Dr\"[8v*F*$\"3^'=n0)R%G_#F-7$$\"3*3+++L'y5)*F*$\"3Erv3&)[c=DF-7$
$\"33+]P/)fT()*F*$\"3hF)4430N^#F-7$$\"3H+++b!)[/**F*$\"3;6Gt5!)*3^#F-7
$$\"3^+]i0j\"[$**F*$\"3r6IgM(o\"3DF-7$$\"3E+D\"G:3u'**F*$\"3?)=^d'y40D
F-7$$\"\"\"\"\"!$\"3/k;\"zU#)=]#F--%'COLOURG6&%$RGBG$\"*++++\"!\")$F`[
lF`[lFj[l-F$6$7Y7$F($\"3Xxg(HKde^#F-7$F/$\"3NoD0*pd_^#F-7$F4$\"3Dp#[h/
G]^#F-7$F9$\"36XF!f4u]^#F-7$F>$\"3Sn#GcJCa^#F-7$FC$\"3tX([/X`g^#F-7$FH
$\"3$pM_'fw'o^#F-7$FM$\"3p:S@^e#z^#F-7$FR$\"3!*=;aX-B>DF-7$FW$\"3Z!fyM
9A2_#F-7$Ffn$\"3oVK\\fVVADF-7$F[o$\"3]Z-D&ytS_#F-7$F`o$\"3s;M=,k/EDF-7
$Feo$\"3B%*)eH2T\"GDF-7$Fjo$\"3s2aj2pCIDF-7$F_p$\"3Z[(Q!Gk@KDF-7$Fdp$
\"3J=&fg)zgMDF-7$Fip$\"3O[dVj&em`#F-7$F^q$\"3nCObg40RDF-7$Fcq$\"3z61>b
n:TDF-7$Fhq$\"3E$oQ%GQVVDF-7$F]r$\"3'[4FrP]ba#F-7$Fbr$\"37wQarUoZDF-7$
Fgr$\"3'p\")>\"R)e&\\DF-7$F\\s$\"3yd4J)3q9b#F-7$Fas$\"3GGeL=@J`DF-7$Ff
s$\"3[Xq`C\"zZb#F-7$F[t$\"3iayA#f-ib#F-7$F`t$\"3A!3w&f!yub#F-7$Fet$\"3
=uQclU^eDF-7$Fjt$\"3]A=\"=O*HfDF-7$F_u$\"3Wn:\"**>**)fDF-7$Fdu$\"3k$[V
9Wv,c#F-7$Fiu$\"3Q(*p:#4w,c#F-7$F^v$\"3[%o8#ev*)fDF-7$Fcv$\"3!Q8aa;r#f
DF-7$Fhv$\"3#=>%p?!e$eDF-7$F]w$\"3eO/7k/0dDF-7$Fbw$\"3y;4_9kSbDF-7$Fgw
$\"3)*pj.0+G`DF-7$F\\x$\"3;&)Qs0L#3b#F-7$Fax$\"3S*\\\">X$zya#F-7$Ffx$
\"3o=%3wS7Xa#F-7$$\"3Q+vou;!fl*F*$\"3o3c6M<\"Ga#F-7$F[y$\"3x6rpk@,TDF-
7$$\"3c+]7j17=(*F*$\"3>(3DA7E)QDF-7$F`y$\"3_P(43/1l`#F-7$$\"3s+]i]s1\"
y*F*$\"3/pCe<cJMDF-7$Fey$\"3OW*\\mt9?`#F-7$$\"3[+v=nIZU)*F*$\"3\")=$R%
z\"Q%HDF-7$Fjy$\"3,Ro@2EtEDF-7$F_z$\"3#Rc30g?S_#F-7$Fdz$\"3x**3)eM(=@D
F-7$Fiz$\"3Y#zJm\"e+=DF-7$F^[l$\"3I_(Qt%3o9DF--Fd[l6&Ff[lFj[lFg[lFj[l-
F$6$7W7$F($\"3c+Pn&G#z&f#F-7$F/$\"3ESR4s>(Rf#F-7$F4$\"3w;'o%3np#f#F-7$
F9$\"3g21j2We\"f#F-7$F>$\"3c`K')fly!f#F-7$FC$\"3'Goqp>!H!f#F-7$FH$\"3a
y'R8av+f#F-7$FM$\"3;k0VFE3!f#F-7$FR$\"3[9$)3'f9.f#F-7$FW$\"3EX[7Q<v!f#
F-7$Ffn$\"3#*QhylKR\"f#F-7$F[o$\"3w(*GPy65#f#F-7$F`o$\"3[aN7Iw.$f#F-7$
Feo$\"3kqu_nZ5%f#F-7$Fjo$\"3OYy@4AB&f#F-7$F_p$\"3U,r9AIK'f#F-7$Fdp$\"3
!p%e$=[\"o(f#F-7$Fip$\"3;w\"\\tkm))f#F-7$F^q$\"3mI/SeLE+EF-7$Fcq$\"3'=
(y7ku\\,EF-7$Fhq$\"3.=em&RGGg#F-7$F]r$\"3Un^h*y`Sg#F-7$Fbr$\"3`%R]%)*y
E0EF-7$Fgr$\"3jN!\\Gu1jg#F-7$F\\s$\"3E6\\\\VgK2EF-7$Fas$\"3jY\"Gm%>D3E
F-7$Ffs$\"3o%=7O,I*3EF-7$F[t$\"3NEl'\\K5&4EF-7$F`t$\"3\"GNMaXC*4EF-7$F
et$\"3Q!p:_fF,h#F-7$Fjt$\"3esgf:d65EF-7$F_u$\"3CN%=#\\6%)4EF-7$Fdu$\"3
Ae&[\"*>T$4EF-7$Fiu$\"3^lH#H7B&3EF-7$F^v$\"3=iK(yt6vg#F-7$Fcv$\"3hu0()
*4%41EF-7$Fhv$\"3P$>dv2YWg#F-7$F]w$\"3-B4)Q[!Q-EF-7$Fbw$\"3fMMata++EF-
7$Fgw$\"3+%oB/wCrf#F-7$F\\x$\"3W8W\"pM_Rf#F-7$Fax$\"37)>'\\&f(G!f#F-7$
Ffx$\"3yo#=$fr@'e#F-7$F[y$\"3K_it,13#e#F-7$F`y$\"3qMeHZt&od#F-7$F`el$
\"3s(*)fx[]Vd#F-7$Fey$\"3'oS-H%etrDF-7$Fhel$\"3w\">K\">x#)oDF-7$Fjy$\"
3i1#*4wOzlDF-7$F_z$\"3'>rZ#3-xiDF-7$Fdz$\"3u9tl#QG'fDF-7$Fiz$\"3mAi1/&
=hb#F-7$F^[l$\"3C)e/seoCb#F--Fd[l6&Ff[lFj[lFj[lFg[l-F$6$7S7$F($\"3/e*
\\5KQ2q#F-7$F/$\"3cu*pM%*zsp#F-7$F4$\"3k4()[2@g%p#F-7$F9$\"3-[/LJm$>p#
F-7$F>$\"3Mg)*4y+g*o#F-7$FC$\"3_$3D5&ff(o#F-7$FH$\"3y!e0=h.go#F-7$FM$
\"3kXyVyQg%o#F-7$FR$\"3'p))f7>,Mo#F-7$FW$\"3s$*=zI!GCo#F-7$Ffn$\"3/Q(=
_qQ;o#F-7$F[o$\"3y-Nt$R-6o#F-7$F`o$\"3/C'zwbb1o#F-7$Feo$\"3a5M&zp^.o#F
-7$Fjo$\"31*)yjUW<!o#F-7$F_p$\"3;vM1:T4!o#F-7$Fdp$\"39Dn#oVw+o#F-7$Fip
$\"3)3lC&*[4,o#F-7$F^q$\"3uW(yQT\"=!o#F-7$Fcq$\"3k1&)e$Rc-o#F-7$Fhq$\"
35WoiE*H.o#F-7$F]r$\"3k$ofeqr.o#F-7$Fbr$\"3;<$*H/\\O!o#F-7$Fgr$\"3#Gh>
\\2&H!o#F-7$F\\s$\"3O([E&3=8!o#F-7$Fas$\"3%4Dta%Q%)zEF-7$Ffs$\"3a'=j;>
x%zEF-7$F[t$\"3#)=&*\\I;%*yEF-7$F`t$\"3/!*RJ?l@yEF-7$Fet$\"3;,l#Q[=tn#
F-7$Fjt$\"3[(*)4wv`in#F-7$F_u$\"3i\"fi`wC[n#F-7$Fdu$\"3?a1`z1ItEF-7$Fi
u$\"3ul$on)HSrEF-7$F^v$\"3uH/;)yD%pEF-7$Fcv$\"3%p\"G<!)f'pm#F-7$Fhv$\"
3GR'[Ff]Vm#F-7$F]w$\"3wPRN<xGhEF-7$Fbw$\"3EQE3)f^zl#F-7$Fgw$\"3!4$QO`'
zSl#F-7$F\\x$\"3-Ef`cs'*\\EF-7$Fax$\"3uE*zhQc`k#F-7$Ffx$\"3>(3'>YIOSEF
-7$F[y$\"38g*[P;#RNEF-7$F`y$\"3/LGID\"H#HEF-7$Fey$\"3alt.,AGBEF-7$Fjy$
\"3w`.Y\")fZ;EF-7$Fdz$\"3hC[AC%*\\4EF-7$F^[l$\"3e@Ne!G&[,EF--Fd[l6&Ff[
lF`[lF`[lF`[l-%+AXESLABELSG6$Q#xi6\"Q!F][n-%&TITLEG6#Q4w~-~modes~Naria
i~IVF][n-%%VIEWG6$;$\"\"(!\"\"$\"#5Fi[n%(DEFAULTG" 1 2 0 1 10 0 2 9 1 
4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Cu
rve 4" }}}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 22 "V:=sqrt(dp/dr/drho
/dr)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "vs:=sqrt(diff(grcom
ponent(p,[]),xi)/(diff(grcomponent(rho,[]),xi))):" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 33 "vsj:=subs(R=1,c=c1,k=k1,f=f1,vs):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "vs1:=subs(R=1,alpha=6,vsj): \+
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "vs2:=subs(R=1,alpha=5,v
sj):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "vs3:=subs(R=1,alpha
=4,vsj):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "vs4:=subs(R=1,a
lpha=3,vsj):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "plot([vs1,v
s2,vs3,vs4],xi=0..1,color=[red,green,blue,black],title=\"V Nariai IV\"
);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6)-%'CURVESG
6$7`o7$$\"3`*****\\n5;\"o!#@$\"3\"4CsZ(RB=o!#=7$$\"3#******\\8ABO\"!#?
$\"3d2Y(oB@#=oF-7$$\"33+++-K[V?F1$\"3#4d'42+?=oF-7$$\"3#)******pUkCFF1
$\"3x_]^&Gq\"=oF-7$$\"3s*****\\Smp3%F1$\"3U$p.uO&3=oF-7$$\"3k******R&)
G\\aF1$\"30LBx$[mz\"oF-7$$\"3Y******4G$R<)F1$\"3$)p*Rt#oi<oF-7$$\"3%**
****zqd)*3\"!#>$\"3j&zBfL^r\"oF-7$$\"3*)*****>c'yM;FP$\"3w\"pXj'Hz:oF-
7$$\"3')*****fT:(z@FP$\"3K7i8!p\"*Q\"oF-7$$\"3#*******zZ*z7$FP$\"3f&Q)
*y2!H4oF-7$$\"33+++XTFwSFP$\"3.I)[/.\\I!oF-7$$\"3&******4z_\"4iFP$\"33
'z[-WXIy'F-7$$\"3o******R&phN)FP$\"3K`I@Q&GYv'F-7$$\"3++++*=)H\\5F-$\"
3SYb\"p](>=nF-7$$\"3%******z/3uC\"F-$\"3El]dM)osn'F-7$$\"35+++J$RDX\"F
-$\"3^]1g-'pxi'F-7$$\"37+++)R'ok;F-$\"3yBb]%)37plF-7$$\"3-+++1J:w=F-$
\"3KT9jQZI.lF-7$$\"33+++3En$4#F-$\"3L#*Rk=b;GkF-7$$\"3-+++/RE&G#F-$\"3
)Ht*R&=IfN'F-7$$\"3\")*****\\K]4]#F-$\"3!fDbAPj!oiF-7$$\"3$******\\PAv
r#F-$\"3iCX<')R7thF-7$$\"3)******\\nHi#HF-$\"3E#o\"pHz`vgF-7$$\"3*)***
**p*ev:JF-$\"3%**Qe()ok>)fF-7$$\"3$)*****z!47TLF-$\"3=tSf:([['eF-7$$\"
3?+++LY.KNF-$\"31)4`cn34w&F-7$$\"3u*****4o7Tv$F-$\"3iU14sM%[j&F-7$$\"3
1+++$Q*o]RF-$\"3Z!*Gpl+))=bF-7$$\"3?+++\"=lj;%F-$\"3E7k]'e1sQ&F-7$$\"3
++++V&R<P%F-$\"3K+0G/Pwd_F-7$$\"3/+++Xh-'e%F-$\"3a75F!\\c(=^F-7$$\"3!*
******Q\"3Gy%F-$\"3'Hc77Z%y()\\F-7$$\"3!)*****H5k]*\\F-$\"3,flP_$*=V[F
-7$$\"3A+++(RQb@&F-$\"3e*)R-#)Rf*o%F-7$$\"3`+++=>Y2aF-$\"399q\")*>gKb%
F-7$$\"3\\+++yXu9cF-$\"3D@a)y#GX.WF-7$$\"3d******[y))GeF-$\"3IMxPrB2YU
F-7$$\"3.+++i_QQgF-$\"3M1d:Zip*3%F-7$$\"3A+++!y%3TiF-$\"3g&R[&4RDORF-7
$$\"35+++O![hY'F-$\"31c.M&\\ONw$F-7$$\"3I+++#Qx$omF-$\"3[)*fF]OJ1OF-7$
$\"3s*****RP+V)oF-$\"3H$G'Rw.POMF-7$$\"3Y*****ppe*zqF-$\"3_-n!>uG0G$F-
7$$\"3u*****R#\\'QH(F-$\"3=\")[N\"*z43JF-7$$\"3#******H,M^\\(F-$\"3dU3
K_(*zVHF-7$$\"3S+++0#=bq(F-$\"3)>u1MGh(pFF-7$$\"3Y*****p?27\"zF-$\"3)[
U#*>zzqf#F-7$$\"3a+++IXaE\")F-$\"3h\\vfPj@8CF-7$$\"37+++l*RRL)F-$\"3yo
**o91fKAF-7$$\"3i*****HvJga)F-$\"3*\\R]8qTM/#F-7$$\"3s*****HJnjv)F-$\"
3[r%3l5.-&=F-7$$\"3k******[Qk\\*)F-$\"3Ys73t;2m;F-7$$\"3w******o0;r\"*
F-$\"3F*>bx;1UW\"F-7$$\"3[*****\\w(Gp$*F-$\"3C'R)3CL;J7F-7$$\"37+++!oK
0e*F-$\"3euj#QAWWy*FP7$$\"33+++[oi\"o*F-$\"3:O+.yrD:%)FP7$$\"33+++<5s#
y*F-$\"3'>pg#yOlgoFP7$$\"3*******>wSq$)*F-$\"3E,$**evE&)*eFP7$$\"3++++
30O\"*)*F-$\"3#)\\#[=%fv!y%FP7$$\"3++++\"Q?&=**F-$\"3)eSe*Gg%[7%FP7$$
\"3++++a-oX**F-$\"3)z%*GQM)GbLFP7$$\"3/+++\">g#f**F-$\"3w'f]g*pF+HFP7$
$\"3++++F,%G(**F-$\"3%*=tS(*fdjBFP7$$\"3]*****f4I'z**F-$\"3;S!f%3%p\\/
#FP7$$\"3/+++k+U')**F-$\"3)paFzz=\"o;FP7$$\"3Y*****>.5K***F-$\"3_V]#))
R6%y6FP7$%%FAILGFe`l-%'COLOURG6&%$RGBG$\"*++++\"!\")$\"\"!F^alF]al-F$6
$7fn7$F($\"3#*oxBu?/\"Q)F-7$F/$\"39')pL+U-\"Q)F-7$F5$\"3%)*[(f5W*4Q)F-
7$F:$\"3u$)=;0F&4Q)F-7$F?$\"39(fe![N$3Q)F-7$FD$\"3)f$)48tm1Q)F-7$FI$\"
3947dK,>!Q)F-7$FN$\"3])oia%H_z$)F-7$FT$\"3g&*)p^-<wP)F-7$FY$\"3Y-wDa&
\\\\P)F-7$Fhn$\"3%fxzx\\%\\o$)F-7$F]o$\"3)*4))yP=uf$)F-7$Fbo$\"3B;kq/
\\qJ$)F-7$Fgo$\"3Y`#*po)>>H)F-7$F\\p$\"3*3*p'Q)**)4C)F-7$Fap$\"3-MJS\"
=tQ=)F-7$Ffp$\"3k4&=x#z$\\6)F-7$F[q$\"3ZcIx^5YL!)F-7$F`q$\"3uy^%)\\ZGU
zF-7$Feq$\"3SK\"*H)zC&QyF-7$Fjq$\"3eba*oi1\"RxF-7$F_r$\"3\\pdp*o5'=wF-
7$Fdr$\"3AbFDu.&*)[(F-7$Fir$\"3GN3/$>]iN(F-7$F^s$\"3#=i&*=2]&HsF-7$Fcs
$\"398JW0jrrqF-7$Fhs$\"3F;\"=1KEB$pF-7$F]t$\"31=)R3DCTw'F-7$Fbt$\"3\"3
[`ZWC-h'F-7$Fgt$\"3U3(R1wAkV'F-7$F\\u$\"3mCb^Ht`miF-7$Fau$\"3y448A-;&3
'F-7$Ffu$\"37\\$3E%4E:fF-7$F[v$\"381[Jx\\zGdF-7$F`v$\"3'3yFg0w>`&F-7$F
ev$\"3Q/%z_\"GMe`F-7$Fjv$\"3kFwf1!*oo^F-7$F_w$\"3A__#eO72(\\F-7$Fdw$\"
37lwia-EvZF-7$Fiw$\"3eb^>nWn%e%F-7$F^x$\"3Oe#yBQS:P%F-7$Fcx$\"3%[T?/_
\"yyTF-7$Fhx$\"3se(eH8S<(RF-7$F]y$\"3/,Z-J\"[Iy$F-7$Fby$\"3a4T\\@\"Qbd
$F-7$Fgy$\"3YxzPFz,zLF-7$F\\z$\"39)o_@)[3sJF-7$Faz$\"396kbRw(z'HF-7$Ff
z$\"3-G?<Z]#>v#F-7$F[[l$\"3`IM00K*3a#F-7$F`[l$\"3sh\"oQwB6K#F-7$Fe[l$
\"3_)e&G>'3y4#F-7$Fj[l$\"3W!G:l&p1')=F-7$F_\\l$\"3nu+b,b;K;F-7$Fd\\l$
\"33PV[,9[*Q\"F-7$Fi\\l$\"3s>(RP=+G5\"F-7$Fc]l$\"3\"*RH7i4&Rs(FP7$$\"
\"\"F^al$\"31O0YU*fn[%!#E-Fg`l6&Fi`lF]alFj`lF]al-F$6$7fn7$F($\"3)Ru)4T
]]h6!#<7$F/$\"3?m#y*4>]h6F[]m7$F5$\"3oB!p9p'\\h6F[]m7$F:$\"3;E$3cQ*[h6
F[]m7$F?$\"3MXl07&o9;\"F[]m7$FD$\"3'\\1?**GR9;\"F[]m7$FI$\"3s-bZ.eNh6F
[]m7$FN$\"3WXk#e$*Q7;\"F[]m7$FT$\"3A_;?9^!4;\"F[]m7$FY$\"3#\\V9x(zVg6F
[]m7$Fhn$\"3sko<()yIf6F[]m7$F]o$\"3Kqd^Bjxd6F[]m7$Fbo$\"3?eA3.j(G:\"F[
]m7$Fgo$\"3]P`D5'Qf9\"F[]m7$F\\p$\"31cJE2S3P6F[]m7$Fap$\"3cCfxB!*=F6F[
]m7$Ffp$\"3bZ\"G?*fH:6F[]m7$F[q$\"3c-D_Z%385\"F[]m7$F`q$\"3U;HXFSu&3\"
F[]m7$Feq$\"3QVPBnR9o5F[]m7$Fjq$\"3!*3G`)p\"R^5F[]m7$F_r$\"31bFrvBBJ5F
[]m7$Fdr$\"3X)yHo'\\r45F[]m7$Fir$\"3oQ\\Xx*)yy)*F-7$F^s$\"3yr&H]'[.s'*
F-7$Fcs$\"3:='=O59oT*F-7$Fhs$\"3!)oRDlma$>*F-7$F]t$\"3JT,[H1vE*)F-7$Fb
t$\"3]x')*o\"e6&o)F-7$Fgt$\"3cH<,rP.:%)F-7$F\\u$\"3AfsURK'Q:)F-7$Fau$
\"3yCmg@\"e!yyF-7$Ffu$\"3SK'fF'))\\AwF-7$F[v$\"3%[<\"4MZ2XtF-7$F`v$\"3
#Ru$eW5lbqF-7$Fev$\"3gc->z!pJ!oF-7$Fjv$\"3T([P&48QIlF-7$F_w$\"3CWR[\"
\\&))[iF-7$Fdw$\"3[v<?P\"yT(fF-7$Fiw$\"3WC\\(yG-$4dF-7$F^x$\"3BW?.nQ];
aF-7$Fcx$\"3/N!)*osBZ:&F-7$Fhx$\"3A4h%=rim([F-7$F]y$\"34I![1Nyfi%F-7$F
by$\"3!fqq$>=@`VF-7$Fgy$\"3-J`fO'>w4%F-7$F\\z$\"3b==3F=DJQF-7$Faz$\"3)
f(QtZ_>rNF-7$Ffz$\"3u.Q%>m&o)H$F-7$F[[l$\"3:\"eJh_@^.$F-7$F`[l$\"3K)\\
GvfMKw#F-7$Fe[l$\"3)\\Zm]t\"\\*[#F-7$Fj[l$\"3DmC9KX6KAF-7$F_\\l$\"3I\"
)4w*4Fg#>F-7$Fd\\l$\"3i>(fc1^dj\"F-7$Fi\\l$\"3qQsEgKG&H\"F-7$Fc]l$\"3!
QidWc#\\a!*FP7$F^\\m$\"39C0F!H%HqPFb\\m-Fg`l6&Fi`lF]alF]alFj`l-F$6$7jn
7$F($\"3%f,,Hm'3JCF[]m7$F/$\"3(yl6?qu5V#F[]m7$F5$\"3od!4uwa5V#F[]m7$F:
$\"3(Hi7%fo-JCF[]m7$F?$\"3TR]:Dr%4V#F[]m7$FD$\"3KT&\\V]N3V#F[]m7$FI$\"
3^y<vLm^ICF[]m7$FN$\"3k#yV$H.2ICF[]m7$FT$\"3'Q'[+4fzGCF[]m7$FY$\"32].+
[N,FCF[]m7$Fhn$\"3E%Qccb1FU#F[]m7$F]o$\"3!>^oBX!)oT#F[]m7$Fbo$\"3)e`WW
6D$)R#F[]m7$Fgo$\"3u$yU`jrAP#F[]m7$F\\p$\"3AEB*fm&QRBF[]m7$Fap$\"3lLms
UK6.BF[]m7$Ffp$\"3iY)z!G*p,E#F[]m7$F[q$\"3TR?k=_b5AF[]m7$F`q$\"35&Qr(o
%\\k:#F[]m7$Feq$\"3/O**z3Qi'4#F[]m7$Fjq$\"3W%)4]x\\(4/#F[]m7$F_r$\"3Cq
%*RDdiv>F[]m7$Fdr$\"3jX9;kGv2>F[]m7$Fir$\"3?UKV$R\"yS=F[]m7$F^s$\"3))=
pwn:2z<F[]m7$Fcs$\"3U\"[_Dx'30<F[]m7$Fhs$\"3-:_Hj,FU;F[]m7$F]t$\"3u#[Q
PLQ%p:F[]m7$Fbt$\"3*G$o7XY[0:F[]m7$Fgt$\"3nZM'[TjhV\"F[]m7$F\\u$\"3C]Q
&pX17P\"F[]m7$Fau$\"3ToEwg&GZI\"F[]m7$Ffu$\"3Vuisu)*)\\C\"F[]m7$F[v$\"
33)*p(\\ww?=\"F[]m7$F`v$\"3hA'RlF(\\=6F[]m7$Fev$\"35C=IDDnk5F[]m7$Fjv$
\"3_st<hC;35F[]m7$F_w$\"3l(=e#zfi:&*F-7$Fdw$\"3I5\"z4kN$z*)F-7$Fiw$\"3
iE^/sShw%)F-7$F^x$\"3vo;(f2,m$zF-7$Fcx$\"3%p[+\"z*\\rY(F-7$Fhx$\"3mR6(
eF!p\")pF-7$F]y$\"3GX^*f\"\\;blF-7$Fby$\"3d#**4xcAD5'F-7$Fgy$\"3%)3v1i
5s)o&F-7$F\\z$\"3QnD1;agn_F-7$Faz$\"3k3q\"H5Wf'[F-7$Ffz$\"3y$Q`b%*[XX%
F-7$F[[l$\"3A%Rxz>n`1%F-7$F`[l$\"3[)oCXz)GsOF-7$Fe[l$\"3KDOAO\"=XG$F-7
$Fj[l$\"3KIF:_OlEHF-7$F_\\l$\"3([jI0-A(3DF-7$Fd\\l$\"3Mj[-'3s\">@F-7$F
i\\l$\"3#yK%p8gQp;F-7$F^]l$\"35/=$\\:Z-V\"F-7$Fc]l$\"3k\\\"H;q<=;\"F-7
$Fh]l$\"3#))pf#Gw\\q**FP7$F]^l$\"3uS,'e?Jo1)FP7$Fg^l$\"3AD)=B=.?l&FP7$
F^\\mF]al-Fg`l6&Fi`lF^alF^alF^al-%+AXESLABELSG6$Q#xi6\"Q!Fjcn-%&TITLEG
6#Q,V~Nariai~IVFjcn-%%VIEWG6$;F]alF^\\m%(DEFAULTG" 1 2 0 1 10 0 2 9 1 
4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Cu
rve 4" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 
"" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}}{MARK "60 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
{PAGENUMBERS 0 1 2 33 1 1 }