From 845f598915ba221bcbcd7a7d4485506d20b64fcd Mon Sep 17 00:00:00 2001 From: Anthony Scemama Date: Wed, 14 Sep 2022 13:38:06 +0200 Subject: [PATCH] Figures --- fig1.pdf | Bin 17010 -> 18353 bytes fig2.pdf | Bin 12499 -> 12500 bytes g.tex | 12 ++++-------- plots/fig1.plt | 10 +++++----- plots/fig2.plt | 2 +- 5 files changed, 10 insertions(+), 14 deletions(-) diff --git a/fig1.pdf b/fig1.pdf index 2f1c51ec9cda0abd4466ba78ce35809fbc045958..7238dbec1387a9a543a6d3ebdac0b29337ec4ef5 100644 GIT binary patch delta 14176 zcmZ{~WmFwe(=Hes4({&m5S-xd?s|Zb;O^GJ-Q8V-y9Rd+4#73JCO8av-&uF&es`vS z^{!n{?W(7$*S5Y6f~bpyh*JShc@sA89_XF;8p=4l;*uIKhkAO3J{UzAb__8^aiD@{ zAO+3_eSGDk;3&mL$?P{Y3V*d)xGa!I3WpRW4M;yzatej+0^QNW!X@m2-FL%)K#0Me z@Y}DOi`To$=a#o8ydOI^!lb)5q%m)APrIno+tyx6Z!Vk z+RJ@CdoTuoC`_Z^-OgF&-~yDr6CSunBKu)NKf50cy~NTT|t zVtvX(WVnCarz&(|huJe81CDsp9*dvTJ6sTrPnshb{jr4|=vxsxaVkQO2kAnttmr1X zh<>@+Y{D{zs*YV35rSIk-)G*Mo9?^RRzppe-!g;h&YBtj*UZkeQk$bmk(;py*%sj{3T>#uAD$ zaLqn3wJq&*-R*lA>;X67SYO4s)^Q6rBzH|^$LjUX&h~9BS?3_3|A62VLQdumD>MqmFS<d#S6V+Bp$Yke!H8y^|vwp+F*hS5G#75v=R58Bph`= z2-D_o(0NMnM~6ZPiCVZaiIv(ajNi1buG|X?zh3eHZ^nL~^j^<|UtUoklDc>JC-l$H zt+Rm?hiBLtmL375)-;1F)ihe4BNN55R5P~y12`G3xqGgVM^Mbu*ElPmIKS^E{9lSq zds`(8PKuIJzgbSWpM5;|;`p3#)9xVq5W7pvJ$&S-QEBFP9ixw8H*?1OTFy3$Nl_zBs ziag4_d`$e&+_aC$s4~*Mg&fye=;jFYvc3}d`ys4Mk)mCUNO^nUr8(IA*7xpSJFWqc zZ66d6v4oJrXpufV3~1)Zkyb)h9YO^Ta%0jC&Y%4*_3ajTsX-PUo|t&heh_Go^3dSv z*4EHQio6c z_r&39bqI1-B)`OGX;bv4M{vKU?%!+RUbB}5j|0@ahki(-fRx`stjY-QHZj9)+-GtD ztAKLcLA=X2A|uZ85rHI+kSxpe)Tvq3GQ;9AE|V0q24Cs5Ff8Zy=~B8f%x*P;{3Yjl zU==50UlpXG>LA8s3tA?eM~+?ZypKco1S;chS=GMSin%BQ$(0md*&m&CRY9@c$wY?KhZZ=V~cBKn7(Uk zrG_yNgab|@w>WXA?t~+5@bZbIEMcr@=5Ftf4`4sWIo8>onT$-UC^N0N!PI{^dK7T0 zbpMS4tDvn>RW;4WR6nBsEJ2gevi8lkcdfI%AfkLq+2+Wz zZ)1?#`Q|u+q4^RXTCCjU^j*?lV%Ehu#%Re*_ve~`=4ZZVKfag(_{7begJzQi8>+YSWZ|X__)JwY4?ssNf2B zOHVw1Z1^9TEMl^&ziV*eO^TnUsddR$JsxmjYcd_lKhsrh+^qrwwJti1ATx!}T7vsz3PRl0Pq zVwcYwGjktPu%*hzi!38{LB?C^4@*fQ8G{KrYi-_Fjhi}xBagm~0hT&K!_}$=XD+Js zhkJdN4qW3Ox_XsnF3h0)$zU*x@n>bx6h<_w+Jgm)`T#^l zDaNM17R4$m$&Eb>3M`FyM{{fBz7)P1GhXFvtus_E3fA(&L1Lv3x)RDcfZhmQ;sJ^| z#!0FaqlKQ2O(R8NvHa&CwW4_TN*y02`lcCP*RtUH0*e{Q!aaFEDdq=Vekx%yM1n>+ zx;B}O3|MnT`LKp;!-ff3PsprZkb_$42RL*7z=gBciitWKl*DH9Q?=Q=jW4y3S$p!P zu$1Alf(dE(1jtg-i3W6dfa~}b+g+Ky3KWNqs={^MBuLXVRRw0BDR7~MiWE`G6C;#m zAK_RXmQlx2hY=IG5yxB-nX-Ho+(i3>tE&!yA(})GzCsFi2m_gfrCHBW`u7z{B6Lud zYOp=?q*iI2>k+5Qq-v#!WdEua3~v5#jeI>)vlR9_78zbIgk&FpK4y&Is2=Hdt*`pYiMHYIZ#;?^N@z(U83POSFU@V{yI4%M{ta7qKccmiYh8{IAfxGm zU!SWtmH_TXBPz=%l625|$tUy)?E#o2x_e}O&q6fi{J@rTzukwCL-t+q%YC*PcM zlrbekn^AF*uicGLx{yS(wZO!-&SOXdLIkNxLqHhdH&l+I9XQU8mP&XrW(vZuvkE%`Gpzy zP-*%dU$d-Fd4?Nl@hqi%&931;LoySfX5buX)@i=SyRAZU2lL~8&SV7VkrBAGf8~2iGijfcGNP{$1turx*l>U*7~C8uP6y-82nud z?f#Z@G)m%E0vnveAMJEt(~dBz@moEjknchV+RWT} zs{TOpFib59rnI{#eEJ&QS{h}S(OAZW72803&pUI7-fIj5`GwtDq;uFpZ*%VP>wdxYkBf!{NIDwE> zosr_EcVa)rA<$NyPv{uQDbC z4tf+6kV=5O1nC~A{B~M8=wvputd8Q8RKB^l1=D=8C!+gHr2zh=X@l~ZwSKL*KA8iI zX&Zw7c$G*DwU>%=YNoG+G1Ls>2hZ##Ekl=i?t(&uUmY(eJcBHoL{pL>hMSPV*A{E3nK2vn!`C;`AN@5S>|gngyX|Q&vN{j$N@Y_~jENSLN;f#rO!e%ZI$Y^Pc53bT%I#ahJE>rCRuc#qtm#pYYs0vwSi zS4oZDWo$9L;(>dC;?&PiuF+cTG*4Qx{D6@1k>rk_A(s}LO9$G3F24}Uk>rV=;h>gH ze18a?QrMMe#pmmue={8Wc@`VWw+@Io#;2F|`5GNF0No_3a2HnLg8OvoEEF_kN7Khk zJA|CJ2C;G$A~Tq9th4{S6(Z65W5-58ImPLOSO}(z55W#{fuSvqCR6PaB7{;PaAhfT zp?S76`5mNn?L?+Uv0>LU|GMJ0uJRo`*qy?jp1Ql6wleptCesJIvUMMgQI^fFNA54m zfQBTtdiM7LBGOWczbHlTEk+iRfmvdi(GCBw_chm`8N7~c;FaUCHh*kxs9*8TJW~K zOHtuZ|NWL2@*wN_D;dxvFy#d z6L(d!DYp`G1VkNL+J2alln{#1tm}K!lLG;G6J+(xE}R9)Jv5~KZMd8KNfHCoj^fLv z>~Gw~FB_)FiD8_Tw)M$9KGuzn`J11fxGPa~+J-a{MyIZP-1$JkCwk z&x2hu4NN?fLo0lm6*+KVEHj$9G-Mcl!Re~ZY?wXF9R$56`T?3F;EYS2!1?jMFUWLf zf^_GuJ85cq$Zk4G;4_*RWJKkSz;mGub#3o3hV)`S8+d1=9fe7EqG@PU9M)}tm8j+n z5$fOQLO6UznZAFpYS#U!BOewm<|=f|dL7;!U981%wWC)enXSb!XY_wqr1O*+9gnxj zx@?w4kjEkPVFJ=TY}NMv?i0!4SnK?_P0^-5|{>C zmGih2dFzQ~0Yaol2%C{f>u~YDYuAa^<8X0UC8BGt>2a)G=X<@7)@o^G!1$Mk)&qhB zWYjT5KHQ>5O)(M*9=fqr!QpTE7mg7w7MUX~NIp9@_P#a_6u5{Z_$fi~JvKXb4}W27 zWI~vYixuA8kC~j0Qdz8xqcL?G;mvgHo&5eWcfH{fIq^=u;ClzESeT%*q3uyw35xw` zyq2#Y()$DF!m>P%P258Q02ZhT1UZ6uG`4jlNvsfmr!g0bN9IZ;365uJ;kc9^m!(c4S-gSZ82ju{(W=!fA?(9d1G z&14Qz@s+zk(v~QB=4LHq@i7Fd2z>udKaIxnaQD<_MzOz0rDPIAfI}|4sQr0?%-8La z1{JPSE`N2#dKG~&s(`GZJ@jj7cu$ib97WBj@f4Zk%t2Df$!Dig#*(3pxjwTF5<= z5y$Gxjlw&8q`fu(kJC=DXPe$eB{N9yO@XiZR^BU>_3SZ)oAcp9bkL zpd$-ME5kIjjlIO|!N8dhbNy_fG2q*9AzLk?Bb>_@e6Mq-00Y|$HiVxIMaBpVr>1LJ zvytpO`t<6~z>IHNx))4eH9|mi^wy{qsGy;#k*Pem&(DxggDou|7skcC%Ufl^%}(O2=?C{Dy`BkaK+j?Pp+1LQEz=mg-DvyKCH|I(y80`JS*$M zB(RK$+dqV6o$(zD1D=~vZ88xx57_JJbN6|vMrD3%6*$ddA4kFd=yXXi2NY7>7GM&P zsL$3m*?8xx5XR5)eryq3!NaaFL6O+lm{?V&z({Is)V%K21*d&PEEovW8${Cr_9ArX z2F?++*xpOvd35L#TN78C@f`yr-Xl3e=2$9;aBTY7>`ObK*E{2@TPtz2ciy9wjW@0F zz7io~PYT@>Jrdl1X&*J{<^2gVIYN;*v%gqEz5u2C=9Wfs&R7#IC%${Bhcfo38wPzO zYPq+RvU?MD-$gAmO9R8?CxG{NW#IAT56BC^KC9 zo}%e5Ei73P)Jj#5@U&VFbOl|~PYc-^y}ZRBldQfy*eJD{9+m0{P5Cu;(JZxnScSIb zzmelrkdAWL1-!*$$U0Y#XR9zeb$#@j@Y}cV46Y)!8LuZ`SGthMzJ^XOAg2M>QRleI zmV-F78lqu0e|9>kG9gvO` z*g+|=P-D42jEPUN753kEX&ORG;hc;z;_rm1NZ8nq^cf2)7GtUQ1&OukmC_Ht-Z+TqyN|oUNI-V*UZ1uhXk+q%3#K|3*ovZ;HTb6KTc#DL&jUpw5>V?-xTVc zT77)89a$8Enz+r^+Iw-G`sFQ>J)3>E%y_EqA(bSaO0D9<^M?4Q09)aJ=w9%$GO~WO z603#dANjBWpFs3GYVGeW1a!|Il8`uCLwV#iNojvsmOc0Mx7b1FbF#J1*yL4__DLa` z&~jOD0oOe<?1-Eg}5jsZe)Bf?r zWz4RkCl)BvuHb^D>JjKe6g~-E3L2A-Y zZYG|Nxd!!Ejm0b$_!HZ0MqIb3ID9*6I70ROKtlbM%F6hVcnFPIS*R}ZF3qLr*8(-x zzZTT0s_9V!*R5uTHjT^IP2Fspyq?{s zBAYZa16b?BC{t0eY3R7*>ph8U)ZYV|5jdP6Q-x z0Lx>`A7cl0Vj^R$#V)CWAmw>~Clb!eFuz&adYtGcA*PtWWG_@!zcH|#ChO#h+T|89 zW|E{xBVj464c~q89P#-{)UF;p#^Guyr|QYCM_*C%jn=xbX)%-;htQV^kDlRx)jC`b zSI+wjR%NxY_GfvH#r9e@LZqj1Q$krSK)!@i*(Ac4Iw_Y9Ny)2SkvlefQXFgY(CwT{ zD^KmbDZ~L=vhHWuXF_)f-N+$5QY|}8{*m8inG2&sB-u>mmWlC8+(zuwHCfGzp~<*< zqo#-NwF1+upW4G6KO}qN6qqX!T?u1Wg^Cy`DD$SCz8A&fwK7vUNe#m)eF&BW@O&N5 zt?DlS%kL0mc$Ozs!}@1Q>|JF}0_Mv_j6Vc6Pv|xcY2U$HNWPNUgkFt3MR+JtqLO%e zdf>od(w^F6UKt)Z&O@lAf(;S`c2G3!cY(ii8wpLL@0G0;sVLNJv46FuMKY&Nm8|1= zqd6QYbzt;)F05lt*%QSaND!BHMPm5!o9NYTz9-S5^Dmc?q}gE_ZaI5S=Ht%xvuN=B z%G>Arl_x51dmdx+n^EDkpAp%qEOi`m1=8Q+jowepmai$7P3wLRCoIZ1!;XY3<0sD- zCTn$cNZHsnE ze*JO)a+e!il(Mcu)n__j$t*1}2K&3FCV7{vSx7;gAIRY#2>&Yy-3i6IiS$pAyxym3 z0fk0cJ{ksf_d1+-y8ro z^4hs{hMGH*yQAtE<^O(xo$ zmkb|9{ZPx?#6&=&7cWF0lM&+9wRu5j(zUs)8-zxiAcla(GG|LGgPOLa!634hH&po; z2OL`OG7VCrfX^cM!;;3Ap&9Ra)MblpD*u>_n!a|)@Wo3aiAvY@NqHu^1_gQ_$a?y-bN9nIT-jLEawJT#e21Fw{^Fhe-HX`Wj^vtRK8{10GF%U<*5T`KirKsD zW+un5v9|WrsZV>71x+OxQZT7$a}G~DG`gaNJwc7QZ2Z^it6f%V2Q+I`eL+N3R+qkX zY^(4$1(NFb8hel8LQ1!1ysfzUcYL~Y@JSx#8<}Ksf7I+j7xvr^slxnuatTW?x=GGs5|WU5=kj(MmO;WGPbPtQ6Efu{kAfF-L_^7e`qmTiz$9(e^nliaQ*b?$ZZ=ttjB6nG2N+B|Cr?K@EINGj*Cs$8)fwTEwZ0UVe_-l&COqML_IJARt{cS zZi>3}O!~;I=tX-Lk;W-DeuQQAW<30!a$TnAF5>n!PKIGtaBPgiX)=Kb&M)0Zht3os zOBBdWBE6N=O_0BAi50a(8+nl!z2Am{_!U>2kf|_4`g=TeFBti@&wPp6ha^?~3Jw$v zCS8%!z4}>)Wf2)d{1I_~fmVAcq?_X6EfG3|XHs^Y>Tl+DmS;x_3la4$EsWC&!$1wF zh)H~umb|$#&wcec{QlE6&1j*;p@+MFw;CWK@BFCip(=0eagYr5E8M>+`lH?>-ya$C zp@mj?9*P8h+HPBaikDoVJIEmgOo4sLB&WhcWI{4IN>2x=)Qf>c85<%$FLawkF6`x3 z-|ZmtqqX^LA@j6}d1BC*P0r_H=v;=Wdzo6Rg~q64tEs)y(AaF*vzH9N`{D!xs}-OH z?fd%u=-jvoPp)_WmKV>clGmO2fr#M4hDq;VWs=X_=;hi{*-LnIzo1iYw$$4K18(Rw z)>BCSy73`tA@BPkLVOzf4p684l=xG7`@3U&yY-dVyel276?5XMF^sf7ti|T~$&?{3 zTglDpa#cwy85>qi3`h7h4j&$uQGo-%~BjP6W@ zC9ofCy?<#pQXwbHVBv)R0bEkrQLoRRv<`D7$;eC|{3{8>mu9^};IWG8f)XNq(=Q#7p4GJE((KqAY^ugt+Cd^Jl}2Ps7>Yn+ZbzEy zQf7ag3YtO!fU0%yLY;Mj=eD-R{u>W{8PnicG}MKNFtik6w!UDItV1t}_l|xn0TeR& zSoobfUPlM{Kxgixz>pr;i;1e# zW(-7db47(*2L#LujlADOmxE{8dbA!%CXmxMGFSG$C{ohVUG!riX&3>W!*hL?WQYeO zMXRi~cC4j*7}4G^B$yQNd_NRX z$cO}0V*ZhvloqNChWstSXs&F3h%9vYAYK(JvgNt&+e;HdP6%^j$~sT7>$mPw34X6U zoCw(tD8{Gv+rH=-5G-(wI7DX-Tn>BrBPaF}$=0t$uAeR1z~Ebc$3~lodb9jo{0oPA z@%=PdbO|O93#&!NE7Pm{Twl93p1S}+-kr>9+(+B{cZ?0nAUsUq#CO{@u8jOdH6jfH7ScL1^i7Ua||}$0GN_KpR_lvy}M6D*+6My9N~yy#)98+}owG zsYjHxXxXK_9J`l;Mg7t(S<4^ndmB%_c0UF%EH0-j>yR04A*Z=XpJ~5oz#zJqWpci> zfYFdd5WF?&tPno2pwaNP!l(;%yzKOU7vU&(4%d^lafgz!8!+_3V#Lw9MiaY9{}Fks zD)EWq?z?+KfC;b!qkmN14l#$a_;T!6rK3L@D2GRj*9t*tE^xM(@qP*Wvq}-~%Ro1r zy5H}YTJ$o^0d(p+O{c40~nnozxnmDED zYp$S{!(2@0aV{mJGMslIM(s6VmzNZ0(#=4~pd;2R76Ke#7`<7_ATs`qoGF0(`L!>u zxA8vrYtoom_m~g^-kst#IEt(rCUGor9i+-I(xc0qLm~QBijE~2TB;%w>g8$82W2VL>5Ra`y{$j((6b3EsAHL`aw~oVv zY{i+Yto%R)XaM0JeaGWOS)AHZNTE?tash{S^Nj^_Eq5JwdIhU##C+ zE`6FdZK73CdscmqX+%kW&4P5e&63pFxW;)-;9NBKF)9mY$r|+3H;lyfDJ454?bTzP z5Xw$Gt+J@eGb^dYJve{a-YaIq(&{BA&DV|3RTS{+aPiv&+h%c6D=Eqs;&+}=^1pPI zv`!~(#oT4~d7}wt`>A^{=38&r$~_RLy49qyuq&Mz(LaGL-j0(dP_aDi)Zc&d5P9C^ z8Psqt_ce6H#|`;gcTi*jVI*%SZt$~FkD0IL%ZY&;sA~Q(+#!d!r{;`nA6mKm%EqC& zs0ny@+}RVa^Q4z#$zA*&g1HxT;7j{)iql9ws~e^$#ZFx=6eH8UOvZn<{fyUB`U$C z(1s`1Ngj=hg}vx{j*a#|$y>@{%$X01-2>{iP{zD+GGoWlS~!@j^+R{hE?~{6<%kDO z)J7HgGP?YYTO~;+RJjT&6?(6*RFb zQxu&rF`PI6Q1eF$7l{}2s}F?bE0$fF*>WNr$DBLqU`H%-k0nWF)b(={Q$#dsCHN)M zSrIwL{_UkGN;Z{}y>uRO|9x4RT%!yuHq6Wx4}7gkin>m6$in=(>`&P>P=5ssb(oSR zL&!qJ=uW%A{&C3DdS%{v9^LMmiBCxM)F)#A5w|0r(dNC~Uaj#SAatdS2kC*XaqWuk zC^m_Vf-p*(?6AJT*_BH4(cE5D5)CI$QI9l8SXRY9O67`CX3v)$1s)IzY|DdIG{D9d z`El@TLE)dT)^2rZFw3#EL4<{xe|L&R8)`m81nG6!_dN%T?{LAgV5n{bgUsDEppb1v zou5Mq5f|50$?lBjdCr47UG+fu``k2wouWS77t(vSy>MiDRv6*duQ z4g7|B%CO?CP{VWAqzmhau=~g)y5CVN;wtaNmei}q$-mg_qv7?j$BUWDWp)y{+hE>)bl$5b7ik7a%+yN|h^FnQDi7Od( zGM7;p=0pq?d^g*|?YDjl(P@fFp6weg^T#7eACn~o6Dk}n7w|m?{8YoRGx!m|jN;z- z2LU^Gt3$02zAuj*1QY-yNA`pa3J8~?v87eEKsA5@AXGEos;UAe8FIdxAd9zNJ3*W? z>+Y^mEO$X;9>C&1E9)Yl*~uYz;dl~5k<+;us^^12(^v#6Ydy)3M`g7k%yqS^8a~=a zR(#!%EQ?flj$-@Pr!Zms&JgW53la9(@;z>?TD@cj-_bP~=>Yt_g<8$UyxStD=(i?* zjYBy$r*ecV?c0y@wF4)nQFI(9dmtFr46%K-^2zZi7Cew7y#`vwGpC`i-?=-=|!Ro9F0d3h;g&71TSE*`+J>Mep8606(G|6>Z8^lfc{Cho4m>onv$9s*Kx;zN?_Uyw{bItj1-1e;w1Lm9%Se4^9v!JTNJ zX&yiac0tN75$Hyc@){PDP;kLbl}Trw60LnNf6;IC*x*Z6pJ(F4OqLPVbC|b3_I%*n z6)yv~*^ByvzFxWZ1ozc8iFr1QFg2=Hey_Z&<=86_p?h6f`>+CO;-T)}Sw^?7zLK0c z=y^>(Bd<~m{<@?P8L$+UC!jwz-oV(R{AoiT0F$|`u31J5Xr$@%>s<+KGbS+}r*O+@ zNyy}VmfVm}We=W5t@P;G`htPI@zBE{4&GwXTW41`edl4AfN%f$)BEa&!A-?O7M?-3 zlWsd;hDQs}3V`}jT%&;)YC`PKR{|EnXllnpdw{uZw(BW#GSA>nnkob)H4I4>% zAi#4m$Qhr;xuCBu#L*BkFy8%7HzhfnK+AhaL_c9wG6+?inbV9caKH(UOCjSrATI(@ zXvCq`)umJz?-zA#Fvu2~R`**gpcO&%fpSDH*cr+Utlj&5>e*(kFN<9GzG%mLX|g#$ zq>Sv48Tq zi+4i9nt`+$+4*^f46G|Vd)eqI2g_AvEc4k`8QNsop+lSm-<_(2>BFOE;ujTKt^$k1 zH*xmW;RSvxcrOB-j3i^ig401QlOFMWkp|-R)aU^nBiS_E1Q@Gwk=#lhnhR`Ye`830 z*Ml7zFb*CP&HM1!e}I%%oM6_|{3#gNN0&+qGncricV_dDYSp#{_3>W+fNpa30${MY z4)o;%(VNuxl;1|-%;eh6cv9ywf|G*|cGTUUUvMo2p!v4}0N0YHWA{yVDnRvs-(ahwJ~~jPy?y+X%*{ zR5*3?wToPS1~M5)ihK@U72;RBg~BwC7Vc=ZnVfcy)PfE+HR8?goS+62<9~H;T$3J9 zTtVg{F7+r!{)muAUj@ttq5igBQ6M!URF6q$pnO&x^Fh<7@_^-tNHI!@zc0y<*0K`8 zJf2TM@bqO`xsYXtcuE|*pB-~=VHW*m&y*XJM8ps$3(yI=wrKuB93;&OsjC%aXVZM~ z+}Je0led1n@wYW1%%F*|<%JPe|G641`w|`fBmcv%D14NA{OnoP1r3IFS`8IdMUnVP z6?&*EMJ`mWO$XfOiIEetbZL59{slgrIurLRbMy>AeQ-CNJtZoWqN#>RLd}HYP!){K z&`CFO2dGKyWLlBr(M~I3pjNaiykijp;~7<9Hk$AxZ6Z0=FIBF1-Q7f^5nJh^t;0arzhc|-|D#VE zg`z?x_lBVD6QP>sB(mNe%Wt-nt5Az6Yuxv#-OAui{EFCWU}>{byjtNqyiw zYgfFb4F7@dp+r0zriNpFOl9qwv3YgH53{fE+(RcSdG?of(fm^6#PmHGI0M5>DAO@) z;8;HTV|%)RkU#JYF635k!Rd3Wsf*$_7>hJ^(VP6TXE{u(gv(d)Iga_hs7+qWS0#=g zNDRhZO_Cz$&g%p-5f=RGvtDdTFT7G>9?2?Qd`Q*Dec@?-9KwLD|Kit|De9ut)H32B z99KoF}( z+YsW#HVCN^^BKJ^`avYmG&pNHiKO=({|`P$z}fSv;COZZ7M^qs1=MC*i@1u9;#TiN zz=110vo>qSm}}wGnM5?p$@_R45}?=UFU5)`P)b^7o=^Zr5-f+2m-K=szpRqFpqQMD z2=qcprD1mJsF~um+YYSh;UBloDH^4k{jwkhr8yml?<`{?CXqAG?;pPY8MUQAU{c2u*e9#bH>%>NtQ7%ui+ zQovJ$Jis=FRw2_CfZ?>f6V!lS=`r&hOlRzShEKz{je<~YZIi@G)k_lCx9gtu^92?bHh z3H`4;pxCD{7YKSbJ~ICEgx|D)=ZxYNVgQloG1g!j8Grt@Y$X4A=7Xbp)cH%4aKa4Z zgi~hr$JR6o?zfVN;UmmRy|qEqpzI1X`=dLb=VvCO*Wea;w&>PtoyDDBy=B zOsljfk3BE%r5ojgh9I>D{S+RRX?lxl8cz>hU-5wf>@WRbW8+u^f&0!l5){D)yNI

87v167%sx?aoz^%jSP*C6Y+MC!Y$GDH@yB{l;b=M{jy# zUoqmWX7TMMeP>5e{L4HR;)Spl7^JQs`#F;G$9Ub&)xaK7(7%)rNtmjN2n9)ip6-hz zq}$PMPGchZ-~?4rH49QSH{Gs|0}lmL$@|f1ls*_V$LCNp>{4X42hb|J zze6qK9Wr7XC3u}BM}=v9VzXi72K*XX03o@|if$c`iQe*TkzFYIUkBQfHvguXIaEaC zT48mAt_R(8V{S`JwW{kY?NIaVnRz6`MJBXl86{aFd(vKXDzY;!2@AcFvby%ZCBCweKy&c2 zvp0~jr=db~aB=b^c8XXt@$hi5ld=7K$n3~K|9N5OWaHrepE3@i^AC9$xnU!&4qU4vs`Z TF$F{(K3;ARHMOL&6zKl~%f8X8 delta 12823 zcmZvBWmsIx)+WK--5r7jcL^>*8Yj5ByEpCxcXw!<;2PXD!7aEG++{lF+?i+QyVJkA zmhE@FwQJW}RrPTnu0lS<1Au1}PPqrqnpFjY56xajC*)XAQjkytytDEb88?Cflcq|V)m zyq%mlyf0oo?YzHg3BR6*2rn#(WWV1#kO4iJ^Hy!1%dX>rZ(3=KKp^n-*@hYV<$gId zE^lgYk#OgryQ+4lsYAW#<>*$#;NA1?j*JY*`~2AHP3VEyJk8bOw^qmfi@+BxZwt0B z?&X@y0C@i#=hpw-@vY|K=*33i#KKwl;Nt1^^0MXqY4vIqXZ!yB>9S)pb$b1M^3VI( z&L5zG5_UF)n|XWBFtERcPd`iPqN@(3J8gZm`?(bFtqYXaraGQ8Q=#s6qhyDoSf&wp zSAlYJuprVjKApXCy;?O+tHj*=GE=dq|8Nh|-&bVz5G&KTofT=~;?2>9St(m!&MWY- zZpmx6)&!C=DcU~1h?n8`{5D|lP8TRy`j7+Yy;q`xDM|WB4t!R#KS(>u8_R2x`~ED? z7s(NbBI3xak) z|A}KUY%{BjpZn#<@^6+4+j7!&iz3*e?***aw%JM{Z`Zz$88#-HS#WIs#{&4jP3oqW zm(osbPwVgDg?kQ_Q0%k(eeFdaZq|PFyJUH~+ds{=#pY%^LM|-%IKJ)91L$0@==^MG zM^P-$x}S?@EWTy9kT*>SZwg;~kzTzKT&K}(-&UU(>P-#bKHi>8|4v=TGIBM_L&T9) z=}$_Smf3H6*tm8U0xDg(NkVWg-`~2 z;>hc_VY>PAHZ56BCzp|6e?kxdBqw%b5o_rTd*GjTM|hhi13s*8zNc+YQN8cy`M;y> z(E*PbcA1To-`yctoxa#eSy-YKfuxLo}YIHzJ=C~a*@`xpAZU*NE-;JMtVFR zH2)MN?p|&$sf>%8Q}G}5o}Ar^cP6VkNNe{e{l>19aSb-qGmqy@j8#7?ol z1&wxp8oMOiJxkWVAil=|z`3xFp(oQNGHwP>eH9WO#Q2G_u9Z>aP;40E9m2oJ>v~C9 z3XXF8(ucXJ_h)$O7FDk|;3&+#k^0&Ih}V3rcjteq`<2#>)=eC5)osCEXc6mV;Nv4{ zDy|#Bc-*=SXa{M<{Jg=z_&`oZZ}8X!Z^iRQlwoSkVsqe%GXAN6h-U1|ix_uii(r7+ zqHZTR=ZdLMOjBz{n}g0Sm&ai&xL(kZ1-}~pO8T2!x*EqgmN{MP)zRcuF@c^>R}iT; zG;5r$Z1a!G+&SSb%RCisi+IjIX9hKdSoI*M;o_;u&hQdxb8jt%y+5xshtje-lr?v? z`GVml`57eVwGMWF8QkBVN70)Y@3j=rq{O;kY{~cgiB(@(5Y24Oy5cy#N5H_1S8IQ0 ztTBXK&geyeb*D}KbN1>|upG83Y=o0?oR+ZOOo{^9Ug=BamKE~zoTZ9_Vnbaee_KYR}sk-v`^J;2>n5JXJPk9bPm>M=e1 zgU5D}19YYvD-TY5V0-Q_HAKu@;wo$A=XGE<`Q?-bfUaQ9GetiRWf07J)UWCGf!P~0 zmvgI;9co#=FW=2X`pV;4Urms%;tM%CDIpIYEFsHy<)o|l#fj~G%U2V})45G%2+zw(O;h#3?h!15?P;ky(O_Ua2LX`A#7g)!4~;lVyS}usK^?0Dv0A#@szMEG9voKVc8^HzU@7~kBYG&3l zafKQ{ks}E#!l+R1Ba?GoG4oJtip8dViQOO1m|?-uqD!{G{z|{Pg3vd;9Ad~~V5X$# zfBw0=cSW^m)S0%COS^)zC`C+EeFl=TB?Dkvtn?gm6M3Vocv7-vES5FH1}sVVh7hXw zTp5+i)C4G!U!hButuoNo5mjxhZ^9uM{Fs0tm!L6JN3o&>ur6@R0wCc?&KAN*^`^d5 zXcrfNeo^lC*;*32{%p_pRYFO@>|MMtp;0IP{ZQ2u-c8M6k0ejIE9wUV4dUKu1pNx}qby&ok^3 z^mG6N$vZ1_737Lp>yOcMBlfRV5^@wl}@VhL}&gPAvVh%OTU1cy3x>HI9P$)Q^Xd^DjggZ z`Dh;AYVEJUbXnd|4n*!DQE;G2(S1-`@HZSHojnWT&lFJ9A&Sqn*9LKQ68j-px-;_6|=HRWi1uL*}o*C<1VAfPuE{$W4 zFEMU+w=_*%K|ee(Ti*N4y~ZMo(=k^L3Qh>*2u^eEQ5VQFbs#pCw(~<;AZjzK*fv*o z43-Ntb0A8ca_L%xFPdA=DyU;*lT>8Iz;}FG-iH!wSwHD~&M}HT7V7+$y1{A%&C&|j z5(g<9YkUc$$?`(USUo15B1EpG*}0Wc^c^+CSuXGhxiHjRZFE&lk@a8Q)k+M5HqR1p zP?rM)=qJxyEE=nU3D9HuYr6z%H$GRo-lw)=w^)S8gIxGX8(bRdrN?xn97=R*c`{ep z*Qdr{`>(EzwycR+m9P3g3G?&q(Iu*85vyMmk(jyg_ZLIk1~;mqU=J6Kbyo;Zunw`* zcKLa(pZR1RjjCqk0`vdj>5JXi(B!T@{e0hSxsfByk8J5B?kd?PSJAj|FW7oB9hg?^ z-$-eVw^!tRbOozvr9_tE_4O!&C%$vpuz&}Nd> z(*0``yo#(NAI`Gz9z%cZv}fYhw06ZE+wmMl8?L+iv#UhE*nT^b*JBDRHzx3D5yEI%0zcm#L z%qq#1r?(VOVrI3Ro(;?!%rm7RS~33Bz-IlMl3C_GvXI`I-bZba6l&*}H<|TCdsHIh z*F&n5*z9-U>m?n-&wxA{2Fl+Sk;lPvP2q@x(EhU$j&-tQM-|^Ro7y(6y)_f=5i-om&Ly3`|)qYs7XTPT7!3$R+~P^>V~`@ zyU=&73YG%sv}o{@!Qbx1y@mbO=$1&3uTgNs#bYd3xrRl~lipCnayY_hNt6KA^OyXY zW-?^`Yf^(l3EhF^Ff&dD7;dbJq3BYn_~$Jh9bbRq5`N;U6>{VFyihaM^WmWp;h z$p7IczCQ~`9kQbBTfzd5&jX0h!er;CA@mEc5JiWMXpK0XG%`}H{# zXGW-9Dp;}BvJE*$FSn_$ByPya2AgQI@A2ppQ|H@Vlx8&)FKeL(qf%NG7hy;v*nVfr z_PHz(r=@HjMlq@%JRMKI^ReON#2}CuzoHLZp0xz-r24syNDR0yP%t$vv8%)9ai>0WR5RiU4#oXmln^=6M;I%Q;|^sN z&MRj)E@K-A);BwHPzv{nMT6sCJ7Itjs_HnJkh28k45MQu%NwXZ44|sJn^0R0d<%L8 z2AJxHkW!X3GpF) zDp6AVd&PYUF0oAK56ipCkVF#Ef`mW_sjCUT>4X_$cTRS+irKkjq!HRU%q4PdOWn^h z{Co#|nA#KHq`+?4yO+k0NX*<3xP*A<>}VO+#0bph(p1;+gv?Vh3?ZSoL=xBDYDU-b z|3owAA#u7gJ*aP>yid!r9w^GW*cuS;HS(X_t8zZSEFqXq zI;)8ed~4w20)bV@J2IB}qSSk{Y+c5f8i{W<=&Sle}PGs(iNbs6*kZIX(dZ*wa_{Aw+U*$%s*1LeM+6WB@ zt6^fij0n>wE3JD{D)cl=SL#l){x>__Qvb*H^fCjyu&LxR~ zB;Zh{0jen~nJty`#>L5yruceHa7cx)>=fpy%F+{gV-eSU0zBZfb=z z18mWx0!w#L=g@Fo@ia4k9zYKxqs;{+uFRppPOm_CZ|7yx;E+tr=TbLVloV3;&+m&r zgH15sNF<}ay%*u4Aujt4!6t(QULeKr_3gO}`h?#%&6+7qr!TNVM(}HZSQLlMdTK{Z zzSop$%+0hHKS4~`J!a^ViegvrZx~|wS~bWOXX3?U`(qelMPYfBOvv4=5p}|*U*-i< z%({Nzr%)9a!hKtMyoeK7hk;}l+SsITU2onE+MZZDGJv7Y{k+%f??dTFg6!VN2(u{S zPbz+qjhl>7=|xR?MPOwH+^N5gO4+maYxqV#@xoy?Fo$*|F5LL6)86W$PobH2MU{U_ zL^Tr^;Lm&jP=1rSEplph3eU+f214eALBFUIuoWJPp0uJE8^AG;Xu{^o|FIZ=*LKHR z#kjRO^sdsNo?SJMAx5U!yTXof6`pc|Rc80^Sg50d*xEx2If&>ue# z_b8ALg2JxA$gy zueH{kAAi>d8di}G&B$8RZB0{)1X;iWc}k{p9JAW93tzNr5&zTc<~=-NC^<8; ziy`j-MS2hP>jl>;nlT2;574E}v~kb+W^nz2)J8gfKX;z%%{y*d|Kz!|${T1f#pkSH zY0V9Jg4^evDGYJ12dv}`RpIlj36hvt4R|Caa%qS(CQ-dX&V6fyArMgoosh*P*UzWYILPx_lrUvcpK z6vocVARKGPcfJ*DMLJBKN{GH81_w#kyTjJ9Bz}Ay5c&`RG(^BjJ3D!U= z1DYYjp!=GNJxK(!dW7+p6u7#~TLD+ZI;>D;b$FxaL^#%*P{DJnQB)0qd+PW8=i?9Z zW>Ua7ozh0EXcTpHW04dOaek#rL9HrPvXto}c2zIPq_&-%)Gz0s*SJ30mRy-j(KN*A z7 zfxZ(#~)iAhS~Tu|7oFCK;zXhs+frWPFe{JiAlZ)#`b(P0dy1fG>@o6|z=5ko!}bSbu6_G^ z#Bj0NVDahq9KU+wd%%dKhLdSFz$i#1$yVy3=!i2&8JENi7J-nBS#E*cEJa*)PkT4g z^Fezcxp_*JxZ92+97yNYY6UOzO-IgyujoR8g#J0-D7Zx-k3Q3(aMH-%uBX_pFzll; z#iDN6K!Gf1A*A%zYPth!6nE&Ba$ooa?xYdFdbwbKaw&F7nGK_46V3(pzY{yC0X{Lo z#(5o=Dx8yPwulXypEy8lX{24j-oFFSTe}wRsI{BicOZ7@gNE2+l$gcRPcyI9Ji#?D zrw8FXeG?c4uUeFlO8ThVSUGn`902F0L{|TCiJZaQs+PT5gTEBr7weUo5gWL;^kc>{ z@T+tisG)Z{@u{r^a#fI~4yD*>u3gt6t6Z6L5$w1&=P&!Lo{=0=>kWgcCB4GXFuWTy<;J0H zsDdmol;6ut#q1c|_V2_fpjqBQB^PcGAh03EwrF_Su5PF_R>yLOm*B42GFk6k3Tu%5 z)S*t%;#&pnlqdM%juNtYJdGXzGKmR6KobC)_`!vPI7(+^@XxhgSz=q?1A4BZXMjPc zE)YQB-)unOf7?B}F&s|k^BzrQ5w_Hk(fZF zzEWPKqk1(MRauX$Mj0y-z^s0;=nR1q9d+~g_%)@-1)jUr1?_u7gf69&dtL)f3V$sFfSF=TK(54I+lic*u#WRSmq87D5Y_u&{F&$OJ$D>UMHI+ z;`*)X@_81?&mXE$n$|XNe$;AoffqhD;mBJ1$Bhp4fIm{1r$441vEO?0A5$a=-1!A%2r=vNpJ076bJJ^mq=i4bf;Vugr^ zV!F4oR03>W_)uH{f>P2SQm7B|V^e3``F@IbTzDpmQSgQmRKwin($Y91f#lY@WKLj zI+`kVs_xZw@T&8~0?$?_l<3!JM91z-EnDRxcwq^$C4M(-1ra9 z;LTLG>ZrVO_2n4^z0?-uZrz25Jjo!b)6F2o@AZN>wEUk#H?wbVVnDHzSbo z1F%>%*l#;jvisZLmyJjeYv!c;X*6m1^@o!Gtz}{!!2qs>^=@T{f45{dRE|Th9^z>l z9KaS`3S;bB}GbLAf>X}V1%m7>*t z90SaH5uhmFndZdJ>rp`ZpR&*ilS|^=Wl# zrh8?Y-1}`7gPaGdJ$l*PY1HKj= z&gXPY_NV0V_Z0oCAEn0rg~MOkp}Ux=stAsyjAiS#)pqbtIcJcIX{7EYTm7zObQl(U zg759el!VLLk>_{nz%2!rIrhj`^M}b!y)Sg%CLUx1bz2ZGt04N~$ ztiBTk_(i&O8NL^sCVISXBZA3~AL$VlDKL?#$byqCeSRj1ceh-bzK>Eo{vLa*q+4FB zpNZ}lp&qv4I3VIVYId#dHj2UH;v|8^Ce2%Dn1N z@PuuMd{6i20kyCJw@rr6WytJb)sE+t4{VT=?I0P2A8x#Yf;Lqv{F#JKNu2RdVHsXE zAl+k<{Akl>CGKsGX7A(so!;FUyg7QQYfiY-hLKZNHCSJHjTr!mif6xmpYTemYY@;Q zM7l3iZ~#~|GK{!%h9)^g@RI${}BSSPA3V>t@R6Rd_V2ETqF-4|iX&7s8X3G|W+gK(6=o=jZ&LgyD z>K@}+o3RKQ^XBmM18q!aY*jWWtXoS#O6VZtTf~e6%feUwfvOH5FAy04M>OfhqK^Mh z?Vj#Ioe6H7=y1f3T*Fg5lDYd4-CWoa`Y7#SVryk%-7@+wApFc*AJs3EY-xlO5v7Zg z;kxu+6SdTE5s0VG$8JS~aTq4Q?)1og-5go@%FQ|ALgH3UIlrnBO{ znqScr)+7`;i2s3Cf2JWY+JxdPzK~)5wHS$Q{ zYwd~z_mXNCq^L zYY0 z4txn>YdH0|18RM$GqYh8Ph`3`j&rwZ4z6mPM}+6!=^>JJT`nBZ=5b{^Y&SL(y@W4m zsfc^-c7xNgqROnhfG%vFKx+!OAK3@Q0N5OdJeqk`0Qs|($rxW8w#n}GUQuE7UsJBs zB5omQ<`8Se%Ltz0!;fV@k5s;|M<_Z*M1`NjOOn2(06&ZPewR=GD0vg7VU@a*>v3eL z*qw1yzVH%f$bajy<|3M7nLR-_k-&2CLB6c$n~y&zn6JH#DCkG`{7QpYy9tf(CO{C_tI;GM->iF+_qujMum9p0W#Pc64GVcm33G$!!pG zT^-GkAK2@?#!-`F8OdHAQs4Un3jgDdRZBDYI+RFnC8U7rjU#YUwgv@p`IfPg_zEu0WB% z+4qlNfUNS26BdFSdGl|&D5Ng3A0Wk}nZgpqzuA8^^b1`5LDxy2L7_V@7D*w$0Mpy5D6~fLcy+YcdzM?AZJ2uVJkV2 z^tRM<`+5Jvp^@)_YJ`y%pyPbUFbA{wJZ~nbm6NL3lY?QAnR8Is|TUcQl4Ib zEtz-hh7r-L(5xS~emnVdt7F$DIf_3g0kABLmlrwrjx_0Qp`djd>vvQOTId0}IscjX zRz*mK*EQhEBW6c`mSxsqM}O3BCieZPi zy+l5YQY)~<%i+mX4@8n-o)jNN9Ym`I7zMJopDuNp_(tb{8shFe1rZG$%4*n>G|w97 zr}M@5^Jbvg_7B5rUOV(}MSR&^yhJM;yT1G$_@!;}5=J3qcJ+awKy1g&Q`BYsoS(3# z715m}SA&H?4-TkaGt&q}!xgUS2a5PHixI!Z%B^qk`?5zOw$C0_+*%gt1T!|itO!e{ zIm_45GwPRZ(2vO#(vMf$AlHt!JiTao>$wyqb6YH$!#KxpTUQwJE2+KRku4rc z!nSZiEkph!HI7kp3|(~(oS?T#I(-q|LoHmd2q>6aOwHJb7!c@-wNkH4Ld0UE~N8%(w zAx9ILq4wfBBB~Wl9GFZ{>9tMf43DpAi!c$XY!c!)yFea=?`Pvzc_6NiH`>|i#iXcTLFRg|Bv&c>E^4UR~|$F&72LFyP)z0Rd7 z6=EoJP?=VJ1^XzkjPTZV&@f*>{HyrN;|l<(QA`Eh8fG9{G_c;_qXs`Lw8ryd`0Q3A z+f)QW=yBuN3j$J#b@Zk04@#!dUgK!(p|wI#3+&~uMpW#QhCz^P&~gIw)+c#pj^7Q< z`8WytSr@65{I89OJ#{vvb>v7yw5%^2@KaI4E{0DWfZ*>20Zqn{j(diF4J*rQi2VM1 zc!9wYX8wvPhCtS@WQ!K+&?kiruVd9wXP_z@bQH$6G3O68%*)2QluKREP}(6(cSP0D z@OUNA)e)WF0_Bq3^?nu@B2Ht&j+(#9g}OQ|k*8{DnW^uqr)m!we8988yx}cqD7k}_ zXlsL*jIbW`D5v?|YF%jzXyPib#!0TaB^&_R0NPdC27&%oBvGz3hmSwex6_VrEYTwu z2eq^os*(h-1uYrWK_v}l@htct8LE-0a?J4?CWFuF+A%&T-f6_NB$_@07{qI;yWZ6pk(IO}`2 zO>Z?3_km4uIY=>^_;&00IQ^?t##o=Mf;<99t+7U)z8eu}4$`-E5~M6a_JN%=IJ?l? zMq)qOIQFx%1d1Z4v%9=Q_SZKWn^$9;#rB3&+NTf<@-BVPr_Zyux~7q;1%R?2aZ6Mn zQZ=5;ZojMhz~JZy1<4C@%NzRJuvXq7x}#ru0DH^)k#$qxA!?|t34#fafz|CP8D_Ft z6Z@P9KDhWYxP`AEu|Q^<;IFd-cMQn#4Q9I78lnt;3R4LH^Pwn|SKXhI^Dk-ZoK(uk zkTB>gqIUYJa=oQsm5=W@)W%0%Eybf^yEIXEDIUCn#I`&Jt1OMb5VP6WNz`c_($sw> z0}hS!H5nDryZMk}*s~f0LU(B(TZ0<(C{#XH`5TQz(Wt;`g)i))^J^XH0LX_Tn~7Uh zw7N7tGU8f>v8Qy7!6J1qd}0V8%(q<_)qt< z4sAB5@-YMSz-U_4#y$)L*o z$8Tdyl!ZTm>R~^~^^zypl#It$z*8qTmSRyeHRHCO|CWf3-KaI#hf|_?aMOf=3-`!e)fNk6~G^90AE3H%zYc!jZlVamdEy!cp#))mRz>_*J#l zR-(VP^NV48gq*u_><=|{@a5O!?)Ij1iTm^HX8C$zSw~k^C3J^l_`8LUb)# zVlAy(saDab0;M}%`BC)dYMLfT6kT#z2L=g+8d)wAj$oRq!@%JtIf(ex4rf-P*GL9_@eJjq?P(W5QQ)6dm<5vEs`^ zn@d(6Gr!6q>MV)pAR(IqkC#}74!^LQOJW7F|F8~rb1=eL(oA=w)10W-X2Y4B*?)VC zt0hxAR|$jNRi>wY>*$%I*ScsnFKF`j!3L#VqlL+o^Q#uVwS*U#Mi}J2R2tfC(%gEo zz?V>E1KDLH^iq>xkR8y1J9sn|wXq>PMdT%Nk{OIWeefAVbT46mCDVg#<{f;a&g1uR zy^~k3y_@x6g>~c8dWLF`ZT29!n?PRHqjAvC)vJ-?{llDRF`W|8Le>7>vJEni({#_A z3!CF7?m>%pb}dt%(VwJU_f9^XkKz5)*nZ{KJ@>=CbB1d(-Ym%7^ERUmKdxV$9I@Dh z1ad`%Tt@pvczI2LY_9Ut!hEVs2zJV4k8k)|ktF@!MPTj+>3d()h#5Y_ozGUrAdY+@ z=?hj;WDt&<7KSW$6zYI0n^e0ZRewB#GBW&0TN|f8t!6{kz|`dj#IO3P^f*fqYyILx z@5zMx1XXO2$Mu^Ty|1XB;0cr3%&D*NFIsldqvA%~_VT00MEqYwyrf&_lZ3cQq1idPdA}QQr=vl$bFs1}Jxkg!adWcr zlC%E(k=v6a{_}^8otuy2zhqpzoJomN)IfGFZr1;)q%AFv#Ldmgfk;CmsU(H?zX1Fzw_yMP diff --git a/fig2.pdf b/fig2.pdf index a174711925bc6f03b8edd0033d92ab3956108831..168195aca1db357a3db5e5b8629bcd7de3e156f2 100644 GIT binary patch delta 4057 zcmZWrXH*l)x)l%*5L7x!Z_-;J5I|87DFPBm=%S%x=tZhTX@-s@QUp|5fY5>>(vKiD zbV3hBl!Ok_q~qnB^WMAb>8!Q)nzd(t`j<^4~&!!<| z^d*|}RFt8~jmmnoUu19n;1%XOJ`x28<<{#EM*tr#S8=wp=2LpWtE!w74nUhxB4ajo-j+Vt>lu@sqiOeT>PGy#rKJPt6a5;?R|2LNmIQUky`` zi1R5^-sC*MePxuP2Or?P4CrRqht4>s6;uH={!4Wbv;X?e5z*(g${^NVwB#UqU;%J^*iS%LW7~p`ruI%rL`40%`p?~Z z`#_D4nmr+J5OD1p@dk}?;|Rr|NP`@E);ppAMtm$L#_Ajg?vBrMl zs*u!TTyCrFTGVp;;hiQM!=q%4$sbx1_l%17S3)8c=Ip&3!w}p$`(L<6%WO14_q}ft zJ9g$eJev-d2mt}A+%Qt}y)4=N-6-apA3_*SpM_ZlBY5)O8v5ed6UV-Jn$&X>D@xdJTe&hy>ZT6n2T^m1o1s!HOP8l1 zy65Dp($jNX)5%WX$46&6C{Yixjs>Y+|d?P4PZM)7FPkfOCW=kCQe?pXTDNNZC>B-b4g7_J7TdLEu z^Q+Q_U#}Y@F_k_55zWe|N8eKKw7--hn-e=yQ)RC4;~q_hKfGl5BcH+Bl0C)XRS%c- z{mOB6R$aTK%FCS!9d6R<`jqY%Vfeti>=d_WJvao*7RdSwrKCvnym`QPP?dAc1kUP6nI1YHdK4&R}4} zCQH?x^?~cWze^Uj%lEtD@#^MuKI;QQYIM2EQ-Uzt8D3p0bp2L`G%W7rS1>IWuLT%5r3i(I~t6rRc+C|Cv&-3_g=Y>+cUEoor0ClF&sZQHvP&> zC9<|Q!JZAE^xQpn%QwIB*denM)qKu0S9cc=AfMrHFh(dgOo&DUF41ZAU%UXg)osj` z>)!ClqFDXPA{v(I_s;QUHbmb!@GhSg$9qcR+D8hm{YZL5fe*jrEBx&qV+mS$(_(I2 z#vBE86gnHAj)LedTyW~{Be!216E0YYFK{{-p6m*XHs)&5!)5_uyOPIu*70~y2t$91 zXRkpQgEzj&1~r$Fp8|3oG+_-C6&H7Y=xPEf@A_e2V$}D)WY*`!=+jD01`CNVNZ2kT zOxlQnbgts)0~fkigYl;~vQ%MOBE|82USJd3GpZw#E?yH6Az$P;BR3g+{qEYhafJb= zWPqf!bB&m|?7y@PmZ0a|9&|FMxMd{jAt7(x#)Vrl zCHq1X9_}=7{Q5TZonxt`zYh%23lvy9zv95wM?Kml zmKDc!y~IsMF46HPBa%9BROTL+U4hAuUi>a?h4@UnnrSm7IwCUM7gwP2GWeNAly8*3 zPqHyv$v`AO#9!Hwt&h#=bp|hs`JAW}SBX(M&eTcz!5oGgbjkX{ zd@;_*$YtVdO&l8nzLi>!ZBd%oQv|+ntL@aQ`>e#0BZD&>t-jkknkzgp`;9#kgtdrz z|5HiArpinziGQ_J<~#}#_sO_nEPT%C(p&m#B!d^`<6^$1c`e!*nO9AN_Y6icccYv` zpZk8ctSSVeG;7Ouz(>x%v=_^sYJ|mXx%l(Jb?C*gHC5fkb`n5yKlfy;p-0rRr z)xyK08ZF+r$&n(h)~vHD>TZQ~;hghBkN5a_ec~gAo4~re#esr-F%q?d3Wh{G#y2ot zkE(bq`EIu&{m3Gx1G$&q*=%Vllmd_MNf0$zn{p8x?IVWkCS<_DJ;qpV1+60X=F;OS z<}bD*zIljD^t)@*`RAt>MOpi$iT$B@U%OI!CTktNeZ+7kpaF%Z+@T3ua|VJ>L|p8U z&o-sK04v>13H{zOextZ$a`bMIn6mOGGw@>%oEdmx>T4Nu6@l=mJa>Ky$IT|PK%SAn z_m;(EsNE=wsf&BjgT_XHavgK5az#rwMA^?m5fx{t5oP+Ve$5bV*E+^ZJ2tozHdlC> z=6*viDIPz>gOR`wpZwr?OAQ-6gyrK2(}qwqM$P6QBKh~zblUwT1`Vjeo>2f4j9K@B zb_ElbaL_>+zZWI3PjW(70SYEb4%Oo`?6;hHI1>TUCIef>(2*%vQOoKyV$+Ku2Qp!G z3g&EQ+NP zvZGCg)~RO8=$Ds_bP&aub*fTUSLDaI$SSH0pNQ(ArtQyGP?|#bni6zH2Zi0LswYiQ zJT{kiXXI-jje9|O@PL^vG4ruN}vLn3&yG&s{qD2*6#!lHt8wv%RCF#ycux}ma zCkR{J8PF9If!`uX8ADAkNtwQSNUu{(Lw5UYHnOKwO>J>(j(94YV*4s})NT|Uy?kidS#N+->oshgY@CD^sn!@vhx^b$>7D?j-SSRDJ*Ty`$MdiiOaLWn?nk6+`t+0N3^_k@?NZY-b9 zG4GvyzG`wvbB~KB+j2Aai@gMR_ue2f%!zqT&9)2z39=a1>|4c#A0VxImWv{y3sEZY zF-5jg%tyG`h*g%*ei58|2RwFhP-imMHn}5Y?9rmoD1kwqoKrcV6XDnqo)zp8yO^H? zTDBvz`YY^F!A7)uLCbwpOjS}qVvg7Iw5!X@)PXUhObKmM!-?4(`+NwVtEl&kYLtWu z)CS{K3N;ixlPfj+E|a<)Dv(JXq1B4a4n%VLvQJw|y+a|IW-qpsY6q{ZS19idB`L1n znw(i6?ya7-u{iCXMrORwATA*CpC{EF0vOkPH1^e^zyDmFbXIc?2uNSs>F2|Fdim0n zzj?BqB%;o_H}S-2!w8>!3cJ0w+D`T4pz0bsZ&uxr+h$n6#f_cTn=`iMs?I-kR9D!O zihKjg_2xBm0AUL+=Dg2ukkvzLvLlt>)DQDb9d@9I8bs0pdZnv7Aj|0_>_{VROo0RC zeugKioi&65uzt zygX3ucTG+a08swTCkIqeR{T=~{pkZL$^Yv^{CAr`;Gf0H3d(Z71e?Oe?_H5Fk|Vz6oM?V`;qY*pl2yy95UU7BMsQ@ze<3+)7vsJbu*KTb`* z+H(nGo=A3at~)FW7>)<>D7>XhXNlq9b~G ze&2ZZJ3Zu7;>22^l^2u96${<6X-?YU_feZigp@P24Kfm+S)uX$O{c&@)Q! zYNFgUh_*A<#dr_vx!2oc%&jc?jw9~BS9;Rsjye)XcAeq;lhkkKT~tcb<*)4#6$LhU!19Vy(Yn z#kcmCNp=eEy-t%R-!`GkX9TuvEnLcW8iU=#&Sxs6hIc4I_iyw{7b5l>G;~wH^E#wz zG4{j`HKK1{8vQALKc#Oc@yh=95o@jc`#T2Fnk8EygiU%wqh*uljzcqlR^|)GJ^UBL zp_k>6^ZC8$NZ&VtS3knBf!|u06gIKKqVIv#^v;<9v<_ze1J7i#ZAa}r$y3w&H!+fN zeb43ht9W4Tx(e*FmTYB`*qKmMacu)w-nd#-CHd{64%wb6xU$lQ@9BzR?}_5RhYNVeBO2z#i*?F6v-+khwLQ2)= z(W?R)E4mIZBBiXPv27o%6slNR6UST?j+ggwbSK0g;l%?r9>nkUmxS|^?rQw z-q`5-lE%3>`LvjJ=eGgloIlhQ5~VLRameV_4l0rTBQzU?PX!5nxV> zWC7MKRxWRhT)aj)@9{W9!Nt#S-lp}ssZ)B4gUJ9_w@SIqNVsuarct#7fF z?Th&G-#nPXa-3QWVoq*AdHVjWh;vMW7`+?E*rZ()cdgeX0u+yWMdLm#9r@;U#B7b1`Mb-hv=ACEJIdWEzF1+{ao=>8MU z5?uaOA+tSKoBAOvO`QG8h$t@+rL!oY`SHu{V=@dcTQ}LHL7`Uzvb~Wd@9*68)jo0M zi7pv0+F_g@!~-F9>GU9gY?fDxIQyjBmyZBB2#**qub_dORgG5Qu4LOQm3PWBB@t2n ziNNJ2F3M8ShPv{g-cL;x-#L`6HgsPq14rF(GGw=2TPi>6D7J7`kg%pju{s-gtNQ8*?dsHC=(=!2Mz(kQYSyvX&7WB|x zkw)u>0ZdTYzN9n`-`p(+FA@CajOZ~4N&aZJ1$too1$DuR6XT(f4zkEHr5|eCCmqVs z_jpm39Hdw>X-S0IM93WTO|&6%9pvsiOleI5}$}L5Ye1biE=DA7bTei;7A) zqn+v+R_AyiD!U~7DZAinK=*}{>ct!%q(tlZQ^Q387E1+f zq)(c}O0vbQ(5=s+0Rjv(!bS#To*P8#oER>8+JeZBO{o}a(P*i-UmaOu`V?JA`+gKS^!_gU~`Q9 zsMm+8Y#w>0M2lR?rO*bHpX#b!K9PE~$yDTJ*sTZU%GlgkggPuOrgF1N!qRogjvqqu ze%`}F(Fa}Bs&08>y*>3s1~2`^04A>kt3B0luSKRTleJRRbg1AF{QdSgP zH9FEno%)=UL!GLBZ*x*VB7tCuy%;l;Q%iH!1a{HsuaTrQkrE^V3d0p2XKbmY6wAS3 z3WoZfG+H$w2#ax9GBd~Itj|e8@>iYWy=;qK6rEc01R1!ma9aV~R~z@@`yxP?aG2%d%6b9Nc<5Z|zpzp3$>R3*7Kx(n zfFx1s>L_wnAvF}YhLzwkikDz*Gg7~-l-p4SOCudO5|^<^eP?f8ETA{CFLN9Ackb0WPe6YO!zCb&MI&?*>$b zEHi#Jh&L5j2J?5Xm|c}e|9toj#kw6_n2W$${bWWFR9YtVbtfK%&~)t4Goenefsclu zQ^>ASS2pmS4A>(L1Ej_2UGD&mM^%&4hs0+-s zD3r^_gDzdc9DO>6CFO#11AR)-9O(OHl41$?k7M=|XodT5hZu-8S4^WzY6Fj}N3G)n ze>W6r9BuAW6>HBFyZ2ezY^r}Fpc27w88F>P)bJ$S?d!o8Gc0DD$|9e&2@X-svW5$6 zfpd8ZTfD?g-ItY^GZi7MVP2B7ku@VI_4WNpsh1&E0Je6`)$7D zekgaZ?rUB1-h}J+_OW_BOkJCcpZ8v> z;4g73L%5wt<+^-qzLfZ#OPCo>P_rvFUEo~L=r$RwYK*rAX3AMlAQtE+urYIpduxxmg^1t#rZ&LkLwrSe|1gVyz~!ua;BA{ ztkO(i+IAh|Pl&eMRifW%31-#Ygwx_IAXO+aQPGbXMr2mv1E@)W{y7qU672sbAP5`| zBFZbt9`P1Re45IC@nA3%^mh%U0)asP(t)7LFbFaG$l<>XR2B3eH53N 0) by Monte Carlo. Error bars are smaller than the symbol size.} \label{fig1} @@ -971,11 +969,9 @@ computed analytically and $H_p$ (p > 0) by Monte Carlo. Error bars are smaller t \begin{figure}[h!] -\begin{center} -\includegraphics[width=10cm]{fig2.pdf} -\end{center} -\caption{1D-Hubbard model, $N=4$ and $U=12$. ${\cal E}(E)$ as a function of $E$. -The horizontal and vertical lines are at ${\cal E}(E_0)=E_0$ and $E=E_0$, respectively. +\includegraphics[width=\columnwidth]{fig2.pdf} +\caption{1D-Hubbard model, $N=4$ and $U=12$. $\mathcal{E}(E)$ as a function of $E$. +The horizontal and vertical lines are at $\mathcal{E}(E_0)=E_0$ and $E=E_0$, respectively. $E_0$ is the exact energy of -0.768068.... The dotted line is the two-component extrapolation. Error bars are smaller than the symbol size.} \label{fig2} diff --git a/plots/fig1.plt b/plots/fig1.plt index b603661..57fd894 100644 --- a/plots/fig1.plt +++ b/plots/fig1.plt @@ -11,9 +11,9 @@ set output "fig1.pdf" set xrange[0.:60] set yrange[-0.35:0.05] plot \ -"H_m1.6_fig1" u 1:2:3 title "E=-1.6" w yerrorlines ,\ -"H_m1.2_fig1" u 1:2:3 title "E=-1.2" w yerrorlines ,\ -"H_m1.0_fig1" u 1:2:3 title "E=-1.0" w yerrorlines ,\ -"H_m0.9_fig1" u 1:2:3 title "E=-0.9" w yerrorlines ,\ -"H_m0.8_fig1" u 1:2:3 title "E=-0.8" w yerrorlines,\ +"H_m1.6_fig1" u 1:2:3 title "E=-1.6" w yerrorlines ls 1,\ +"H_m1.2_fig1" u 1:2:3 title "E=-1.2" w yerrorlines ls 2,\ +"H_m1.0_fig1" u 1:2:3 title "E=-1.0" w yerrorlines ls 3,\ +"H_m0.9_fig1" u 1:2:3 title "E=-0.9" w yerrorlines ls 4,\ +"H_m0.8_fig1" u 1:2:3 title "E=-0.8" w yerrorlines ls 6,\ diff --git a/plots/fig2.plt b/plots/fig2.plt index 9909568..18247e4 100644 --- a/plots/fig2.plt +++ b/plots/fig2.plt @@ -1,4 +1,4 @@ -set term pdf enhanced font "Times,18" rounded linewidth 2.0 +set term pdf enhanced font "Times,18" rounded linewidth 2.2 set key bottom right set format y "%.4f" set format x "%.3f"