# In matlab, although my matrix is ​​full rank, the solution is still incorrect.​Ax=b,A(100​00*10000),​x、b(10000*​1)

13 views (last 30 days)

Commented: 道夫 on 13 Jul 2024 at 6:55
This is equation solving
this is D matrics
this is J matrics
I want to test
but the result is not good
My ultimate goal is to use the constructed inverse matrix to restore the image, because the deviation in the solution causes the restoration effect not to be very good：
The above picture is restored by me directly using the inverse matrix. The picture below is restored by using the constructed inverse matrix. The inverse matrix is ​​J and the constructed inverse matrix is ​​Dx1.
Thank you guys
Torsten on 9 Jul 2024
Edited: Torsten on 9 Jul 2024
We can't use your D and J. Include them in a .mat-file instead of an image.

Edited: Torsten on 10 Jul 2024
Sorry, I didn't take that into consideration
tenpixel is the code that generates the D matrix，ITM is the J matrix.D is saved through cell,As long as it is arranged in rows, a D matrix of 10000×10000 is formed.
J = struct with fields:
W2_s: [100x100 double]
J = J.W2_s;
J = J(:);
um=1e-2;
lambda=1.153*um;
zsize=10*um;%Axial propagation distance
zsize2=12*um;
rect_size=0.875*um;
FL=50*um;
Ni=10;
Nk=100;
Nis=Ni^2;
Nks=Nk^2;
TMC=zeros(Nis,Nis);%Transmission matrix size
dx1=FL/Ni;%Input and output surface element spacing
lefts1=(FL-dx1)/2;
lefts2=(FL-dx2)/2;
xj=linspace(-lefts1,lefts1,Ni);
yj=xj;
xi=xj;
yi=yj;
xk=linspace(-lefts2,lefts2,Nk);
yk=xk;
k0 = 2*pi/lambda;
[XI,YI] = meshgrid(xi,yi);
[XK,YK] = meshgrid(xk,yk);
Wkj=zeros(Nks,Nis);%The size of the right propagation matrix w
Wki=zeros(Nis,Nks);%left propagation matrix size
%
% input matrix
for jj=1:1:Nis
rho_p1 = sqrt((XK-XI(jj)).^2+...
(YK-YI(jj)).^2+zsize^2);
f_xy = k0.*zsize./(2i*pi).*exp(k0*rho_p1*1i)./rho_p1.^2.*(1-1./(k0*rho_p1*1i));
f_xy=reshape(f_xy,[Nks,1]);
Wkj(:,jj)=f_xy;
end
%Output matrix
for jj=1:1:Nis
rho_p1 = sqrt((XK-XI(jj)-4*um).^2+...
(YK-YI(jj)+um).^2+zsize2^2);
f_xy = k0.*zsize2./(2i*pi).*exp(k0*rho_p1*1i)./rho_p1.^2.*(1-1./(k0*rho_p1*1i));
f_xy=reshape(f_xy,[Nks,1]);
Wki(jj,:)=f_xy.';
end
clear TMC rect_size f_xy rho_p1 zsize YI YK XI XK yk xk lefts1 lefts2
C=cell(Ni^2,1);
% ab=single(Wki);
%
% How to calculate the final matrix may still be a problem. The C matrix is ​​the D matrix of the next code, D=C=RVL, R is the output propagation matrix (Relso Murphy propagation), L is the input matrix,
% V is the modulation matrix, which is equivalent to phase spatial light modulation. The size of C is 10000*10000
for jj=1:1:Nis
BIJK=zeros(Nis,Nks);
for i=1:1:Nis
BIJK(i,:)=Wki(i,:).*Wkj(:,jj).';
% BIJK(i,:)=Wki(i,:).*Wki(jj,:);
end
C{jj,1}=BIJK;
end
D = [];
for i = 1:100
D = [D;C{i}];
end
cond(D)
ans = 1.0839e+11
dD = decomposition(D);
X1 = dD\J
X1 =
1.0e+08 * 0.0002 - 0.0001i 0.0002 - 0.0002i 0.0002 + 0.0005i 0.0013 + 0.0006i 0.0012 - 0.0015i -0.0021 - 0.0015i -0.0017 + 0.0027i 0.0027 + 0.0015i 0.0005 - 0.0022i -0.0016 + 0.0009i 0.0018 + 0.0009i 0.0001 - 0.0018i -0.0011 + 0.0007i 0.0008 + 0.0001i -0.0005 - 0.0005i -0.0001 + 0.0006i 0.0003 - 0.0001i -0.0001 - 0.0000i 0.0001 - 0.0000i -0.0001 - 0.0001i -0.0001 + 0.0001i 0.0001 + 0.0000i -0.0001 - 0.0001i 0.0000 + 0.0002i 0.0001 - 0.0002i -0.0002 + 0.0001i 0.0001 - 0.0000i -0.0001 - 0.0000i 0.0001 + 0.0000i -0.0001 - 0.0000i 0.0001 + 0.0000i -0.0001 - 0.0001i 0.0001 + 0.0001i 0.0000 - 0.0001i -0.0001 + 0.0001i 0.0001 - 0.0000i -0.0001 + 0.0000i 0.0001 - 0.0000i -0.0001 + 0.0000i 0.0001 - 0.0000i -0.0001 + 0.0000i 0.0001 - 0.0000i -0.0001 + 0.0001i 0.0000 - 0.0001i 0.0000 + 0.0001i -0.0000 - 0.0000i 0.0001 + 0.0000i -0.0001 - 0.0000i 0.0001 - 0.0000i -0.0001 + 0.0000i 0.0001 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0001i 0.0000 - 0.0001i -0.0000 + 0.0001i 0.0000 - 0.0001i 0.0000 + 0.0001i -0.0001 - 0.0001i 0.0001 + 0.0001i -0.0002 - 0.0001i 0.0003 - 0.0000i -0.0003 + 0.0001i 0.0002 - 0.0002i -0.0001 + 0.0002i -0.0000 - 0.0003i 0.0001 + 0.0002i -0.0001 - 0.0001i 0.0002 + 0.0001i -0.0002 + 0.0000i 0.0002 - 0.0001i -0.0002 + 0.0003i 0.0000 - 0.0005i 0.0005 + 0.0005i -0.0009 + 0.0002i 0.0004 - 0.0009i 0.0005 + 0.0008i -0.0009 - 0.0002i 0.0009 - 0.0005i 0.0001 + 0.0011i -0.0006 + 0.0000i -0.0002 + 0.0004i -0.0011 - 0.0006i 0.0013 - 0.0006i -0.0009 + 0.0030i -0.0054 - 0.0014i 0.0004 - 0.0051i 0.0018 + 0.0028i -0.0087 + 0.0035i -0.0108 - 0.0071i -0.0016 - 0.0100i 0.0030 - 0.0035i 0.0013 + 0.0004i -0.0000 + 0.0003i 0.0008 - 0.0003i -0.0000 + 0.0005i 0.0015 + 0.0047i 0.0075 - 0.0001i -0.0020 - 0.0117i -0.0179 + 0.0025i 0.0025 + 0.0203i 0.0169 - 0.0058i -0.0125 - 0.0106i -0.0042 + 0.0173i 0.0164 - 0.0021i -0.0073 - 0.0100i -0.0017 + 0.0092i 0.0065 - 0.0046i -0.0062 - 0.0016i 0.0017 + 0.0039i 0.0008 - 0.0020i -0.0007 + 0.0012i 0.0013 - 0.0007i -0.0010 - 0.0005i -0.0001 + 0.0008i 0.0009 - 0.0004i -0.0013 - 0.0004i 0.0009 + 0.0015i 0.0000 - 0.0018i -0.0007 + 0.0013i 0.0009 - 0.0007i -0.0008 + 0.0003i 0.0007 - 0.0002i -0.0008 + 0.0001i 0.0010 + 0.0002i -0.0009 - 0.0006i 0.0005 + 0.0008i -0.0001 - 0.0008i -0.0002 + 0.0005i 0.0003 - 0.0003i -0.0005 + 0.0003i 0.0006 - 0.0003i -0.0006 + 0.0003i 0.0005 - 0.0003i -0.0004 + 0.0003i 0.0004 - 0.0003i -0.0003 + 0.0003i 0.0001 - 0.0003i 0.0002 + 0.0003i -0.0004 - 0.0002i 0.0004 + 0.0001i -0.0005 + 0.0001i 0.0005 - 0.0002i -0.0005 + 0.0002i 0.0004 - 0.0002i -0.0002 + 0.0002i 0.0001 - 0.0002i 0.0000 + 0.0001i -0.0001 - 0.0001i 0.0000 + 0.0001i 0.0000 + 0.0000i -0.0001 + 0.0001i 0.0002 - 0.0002i -0.0002 + 0.0005i 0.0001 - 0.0007i 0.0001 + 0.0008i -0.0003 - 0.0008i 0.0005 + 0.0008i -0.0009 - 0.0007i 0.0012 + 0.0005i -0.0016 + 0.0000i 0.0018 - 0.0007i -0.0016 + 0.0013i 0.0010 - 0.0018i -0.0002 + 0.0019i -0.0006 - 0.0017i 0.0013 + 0.0012i -0.0015 - 0.0004i 0.0015 - 0.0001i -0.0016 + 0.0008i 0.0012 - 0.0020i 0.0003 + 0.0029i -0.0026 - 0.0028i 0.0051 + 0.0006i -0.0048 + 0.0048i -0.0017 - 0.0080i 0.0077 + 0.0030i -0.0065 + 0.0037i 0.0023 - 0.0068i 0.0044 + 0.0069i -0.0062 + 0.0014i 0.0003 + 0.0014i -0.0128 + 0.0011i -0.0005 - 0.0196i 0.0158 + 0.0081i -0.0311 + 0.0109i -0.0230 - 0.0519i 0.0419 - 0.0371i 0.0189 + 0.0236i -0.0386 + 0.0024i -0.0253 - 0.0404i 0.0070 - 0.0288i 0.0081 - 0.0045i 0.0009 + 0.0008i 0.0011 - 0.0006i -0.0011 + 0.0042i 0.0085 + 0.0091i 0.0121 - 0.0196i -0.0360 - 0.0272i -0.0385 + 0.0420i 0.0482 + 0.0319i 0.0102 - 0.0598i -0.0683 + 0.0137i 0.0324 + 0.0593i 0.0328 - 0.0441i -0.0445 - 0.0004i 0.0242 + 0.0309i 0.0081 - 0.0317i -0.0219 + 0.0104i 0.0145 + 0.0053i -0.0059 - 0.0074i 0.0012 + 0.0078i 0.0037 - 0.0055i -0.0045 + 0.0008i 0.0023 + 0.0024i 0.0013 - 0.0033i -0.0047 + 0.0009i 0.0049 + 0.0032i -0.0023 - 0.0055i -0.0003 + 0.0053i 0.0016 - 0.0040i -0.0021 + 0.0026i 0.0023 - 0.0018i -0.0029 + 0.0013i 0.0037 - 0.0004i -0.0037 - 0.0010i 0.0027 + 0.0020i -0.0013 - 0.0021i 0.0004 + 0.0018i 0.0003 - 0.0014i -0.0010 + 0.0014i 0.0014 - 0.0014i -0.0015 + 0.0014i 0.0013 - 0.0013i -0.0012 + 0.0012i 0.0010 - 0.0010i -0.0007 + 0.0009i 0.0000 - 0.0008i 0.0008 + 0.0006i -0.0013 - 0.0002i 0.0015 - 0.0002i -0.0016 + 0.0007i 0.0016 - 0.0011i -0.0015 + 0.0013i 0.0011 - 0.0012i -0.0006 + 0.0010i 0.0002 - 0.0009i 0.0002 + 0.0007i -0.0003 - 0.0006i 0.0002 + 0.0005i -0.0001 - 0.0003i -0.0000 + 0.0005i 0.0001 - 0.0010i 0.0002 + 0.0016i -0.0007 - 0.0023i 0.0014 + 0.0025i -0.0022 - 0.0021i 0.0031 + 0.0016i -0.0041 - 0.0008i 0.0049 - 0.0006i -0.0055 + 0.0025i 0.0051 - 0.0048i -0.0033 + 0.0066i 0.0006 - 0.0072i 0.0023 + 0.0065i -0.0048 - 0.0047i 0.0063 + 0.0019i -0.0061 + 0.0014i 0.0049 - 0.0039i -0.0034 + 0.0066i -0.0011 - 0.0098i 0.0092 + 0.0089i -0.0159 - 0.0008i 0.0151 - 0.0128i -0.0011 + 0.0256i -0.0247 - 0.0201i 0.0338 - 0.0111i -0.0090 + 0.0330i -0.0156 - 0.0244i 0.0270 + 0.0097i -0.0265 + 0.0169i 0.0017 - 0.0181i -0.0196 + 0.0264i -0.0556 - 0.0668i 0.0901 - 0.0691i 0.0293 + 0.0903i -0.1270 - 0.0466i 0.0513 - 0.2022i 0.1853 - 0.0271i 0.0255 + 0.0820i -0.0691 - 0.0257i -0.0108 - 0.0718i 0.0178 - 0.0247i 0.0044 - 0.0005i 0.0008 - 0.0005i 0.0017 + 0.0084i 0.0210 - 0.0053i -0.0149 - 0.0589i -0.0914 + 0.0049i 0.0199 + 0.1020i 0.1113 - 0.0628i -0.1134 - 0.1124i -0.0860 + 0.1440i 0.1457 + 0.0245i -0.0466 - 0.1198i -0.0687 + 0.0943i 0.1001 + 0.0059i -0.0442 - 0.0665i -0.0150 + 0.0572i 0.0332 - 0.0226i -0.0292 + 0.0006i 0.0187 + 0.0142i -0.0029 - 0.0175i -0.0071 + 0.0107i 0.0094 - 0.0003i -0.0029 - 0.0080i -0.0076 + 0.0074i 0.0125 + 0.0006i -0.0104 - 0.0079i 0.0055 + 0.0108i -0.0014 - 0.0103i -0.0012 + 0.0083i 0.0028 - 0.0069i -0.0050 + 0.0062i 0.0077 - 0.0044i -0.0087 + 0.0013i 0.0074 + 0.0014i -0.0051 - 0.0027i 0.0032 + 0.0030i -0.0015 - 0.0031i -0.0002 + 0.0035i 0.0014 - 0.0039i -0.0019 + 0.0040i 0.0018 - 0.0037i -0.0016 + 0.0031i 0.0014 - 0.0024i -0.0010 + 0.0016i -0.0002 - 0.0011i 0.0016 + 0.0003i -0.0025 + 0.0007i 0.0028 - 0.0017i -0.0028 + 0.0028i 0.0026 - 0.0036i -0.0022 + 0.0038i 0.0013 - 0.0036i -0.0003 + 0.0029i -0.0006 - 0.0022i 0.0012 + 0.0016i -0.0013 - 0.0013i 0.0013 + 0.0010i -0.0012 - 0.0007i 0.0011 + 0.0010i -0.0013 - 0.0019i 0.0024 + 0.0028i -0.0038 - 0.0035i 0.0054 + 0.0031i -0.0069 - 0.0014i 0.0082 - 0.0007i -0.0093 + 0.0035i 0.0095 - 0.0073i -0.0083 + 0.0115i 0.0051 - 0.0153i 0.0007 + 0.0168i -0.0072 - 0.0150i 0.0125 + 0.0101i -0.0156 - 0.0033i 0.0153 - 0.0045i -0.0111 + 0.0121i 0.0036 - 0.0168i 0.0056 + 0.0189i -0.0196 - 0.0167i 0.0343 + 0.0004i -0.0318 + 0.0299i 0.0003 - 0.0537i 0.0488 + 0.0452i -0.0815 + 0.0110i 0.0447 - 0.0860i 0.0513 + 0.0889i -0.0927 - 0.0071i 0.0598 - 0.0481i -0.0232 + 0.0810i -0.0552 - 0.0766i 0.0712 + 0.0237i -0.1544 + 0.0109i 0.0431 - 0.2947i 0.3404 + 0.0486i -0.0947 + 0.2444i -0.1831 - 0.2543i 0.2996 - 0.2963i 0.3014 + 0.1000i -0.0158 + 0.1079i -0.0576 - 0.0618i 0.0112 - 0.0543i 0.0087 - 0.0068i 0.0011 - 0.0002i 0.0105 + 0.0045i 0.0155 - 0.0396i -0.0752 - 0.0542i -0.0589 + 0.1010i 0.1688 + 0.0372i 0.0099 - 0.2396i -0.2747 + 0.0401i 0.1189 + 0.2436i 0.1560 - 0.2030i -0.2408 - 0.0406i 0.0712 + 0.2045i 0.1098 - 0.1417i -0.1442 - 0.0010i 0.0723 + 0.0814i -0.0025 - 0.0793i -0.0358 + 0.0510i 0.0470 - 0.0121i -0.0319 - 0.0168i 0.0078 + 0.0255i 0.0117 - 0.0142i -0.0129 - 0.0060i -0.0020 + 0.0161i 0.0163 - 0.0107i -0.0209 - 0.0006i 0.0178 + 0.0096i -0.0120 - 0.0135i 0.0070 + 0.0136i -0.0033 - 0.0136i -0.0017 + 0.0145i 0.0076 - 0.0132i -0.0116 + 0.0091i 0.0119 - 0.0046i -0.0101 + 0.0013i 0.0082 + 0.0009i -0.0060 - 0.0026i 0.0034 + 0.0045i -0.0014 - 0.0062i 0.0002 + 0.0070i 0.0001 - 0.0068i -0.0004 + 0.0057i 0.0007 - 0.0042i -0.0008 + 0.0024i -0.0002 - 0.0009i 0.0017 - 0.0008i -0.0024 + 0.0028i 0.0022 - 0.0045i -0.0017 + 0.0060i 0.0011 - 0.0070i -0.0002 + 0.0070i -0.0011 - 0.0062i 0.0022 + 0.0046i -0.0032 - 0.0030i 0.0038 + 0.0016i -0.0037 - 0.0008i 0.0034 + 0.0003i -0.0034 + 0.0004i 0.0033 - 0.0003i -0.0041 - 0.0003i 0.0061 + 0.0008i -0.0081 - 0.0005i 0.0098 - 0.0015i -0.0107 + 0.0054i 0.0106 - 0.0097i -0.0093 + 0.0146i 0.0061 - 0.0199i -0.0007 + 0.0243i -0.0074 - 0.0258i 0.0170 + 0.0224i -0.0248 - 0.0132i 0.0278 + 0.0005i -0.0248 + 0.0126i 0.0156 - 0.0237i -0.0007 + 0.0305i -0.0179 - 0.0285i 0.0354 + 0.0163i -0.0488 + 0.0081i 0.0437 - 0.0497i 0.0052 + 0.0866i -0.0866 - 0.0685i 0.1339 - 0.0261i -0.0787 + 0.1453i -0.0813 - 0.1791i 0.2183 + 0.0374i -0.1503 + 0.1663i -0.0396 - 0.1918i 0.1311 + 0.1087i -0.2076 - 0.0043i 0.1431 - 0.1922i 0.0222 + 0.2342i -0.3077 - 0.2615i 0.4809 - 0.4202i 0.4618 + 0.4615i -0.3597 + 0.2547i -0.0516 - 0.4737i 0.5072 - 0.1943i 0.2494 + 0.1898i -0.0412 + 0.0523i -0.0176 - 0.0527i 0.0072 - 0.0156i 0.0025 - 0.0009i 0.0138 - 0.0095i -0.0202 - 0.0507i -0.0827 + 0.0298i 0.1037 + 0.1119i 0.1693 - 0.1908i -0.2668 - 0.1805i -0.1197 + 0.3346i 0.3705 - 0.0143i -0.1672 - 0.3410i -0.2225 + 0.2766i 0.3040 + 0.0485i -0.1082 - 0.2367i -0.1024 + 0.1831i 0.1549 - 0.0376i -0.1123 - 0.0553i 0.0410 + 0.0936i 0.0243 - 0.0757i -0.0516 + 0.0293i 0.0403 + 0.0129i -0.0071 - 0.0254i -0.0152 + 0.0075i 0.0109 + 0.0155i 0.0067 - 0.0230i -0.0210 + 0.0166i 0.0259 - 0.0052i -0.0241 - 0.0037i 0.0202 + 0.0085i -0.0166 - 0.0127i 0.0106 + 0.0179i -0.0023 - 0.0205i -0.0051 + 0.0188i 0.0089 - 0.0148i -0.0099 + 0.0107i 0.0102 - 0.0068i -0.0096 + 0.0030i 0.0080 + 0.0010i -0.0064 - 0.0046i 0.0052 + 0.0070i -0.0044 - 0.0076i 0.0033 + 0.0068i -0.0018 - 0.0052i 0.0003 + 0.0029i 0.0001 - 0.0008i 0.0003 - 0.0015i 0.0000 + 0.0040i -0.0013 - 0.0059i 0.0028 + 0.0072i -0.0038 - 0.0078i 0.0047 + 0.0071i -0.0057 - 0.0054i 0.0062 + 0.0028i -0.0064 - 0.0004i 0.0061 - 0.0016i -0.0052 + 0.0028i 0.0043 - 0.0033i -0.0039 + 0.0042i 0.0036 - 0.0048i -0.0044 + 0.0048i 0.0064 - 0.0056i -0.0074 + 0.0073i 0.0072 - 0.0106i -0.0052 + 0.0154i 0.0014 - 0.0198i 0.0041 + 0.0234i -0.0113 - 0.0259i 0.0201 + 0.0251i -0.0292 - 0.0192i 0.0360 + 0.0071i -0.0361 + 0.0094i 0.0275 - 0.0256i -0.0114 + 0.0363i -0.0098 - 0.0385i 0.0323 + 0.0299i -0.0504 - 0.0068i 0.0535 - 0.0290i -0.0324 + 0.0692i -0.0250 - 0.0980i 0.1165 + 0.0700i -0.1712 + 0.0542i 0.0849 - 0.2116i 0.1393 + 0.2412i -0.3281 - 0.0404i 0.2550 - 0.2804i 0.1041 + 0.3964i -0.3808 - 0.1216i 0.2861 - 0.1922i -0.1001 + 0.3099i -0.1893 - 0.3656i 0.4612 + 0.0286i -0.3204 + 0.3374i -0.1510 - 0.6830i 0.9444 - 0.1514i 0.2518 + 0.8093i -0.4785 + 0.0665i 0.1567 - 0.4780i 0.4553 - 0.0402i 0.1158 + 0.1262i -0.0207 - 0.0037i -0.0005 - 0.0169i 0.0028 - 0.0031i 0.0033 - 0.0181i -0.0408 - 0.0108i 0.0169 + 0.0820i 0.1830 - 0.0592i -0.0982 - 0.2581i -0.2841 + 0.1919i 0.3141 + 0.2537i 0.1487 - 0.4247i -0.4538 + 0.0171i 0.1995 + 0.3682i 0.1953 - 0.3203i -0.3189 + 0.0039i 0.1529 + 0.1989i 0.0267 - 0.1966i -0.1281 + 0.1074i 0.1378 + 0.0075i -0.0758 - 0.0772i 0.0013 + 0.0807i 0.0398 - 0.0375i -0.0302 - 0.0061i -0.0013 + 0.0151i 0.0174 + 0.0035i -0.0113 - 0.0222i -0.0039 + 0.0285i 0.0163 - 0.0241i -0.0221 + 0.0162i 0.0241 - 0.0097i -0.0253 + 0.0024i 0.0234 + 0.0070i -0.0176 - 0.0150i 0.0102 + 0.0189i -0.0043 - 0.0191i 0.0002 + 0.0174i 0.0033 - 0.0146i -0.0060 + 0.0112i 0.0076 - 0.0066i -0.0084 + 0.0019i 0.0088 + 0.0017i -0.0087 - 0.0034i 0.0074 + 0.0039i -0.0050 - 0.0035i 0.0020 + 0.0024i -0.0001 - 0.0011i -0.0010 - 0.0006i 0.0027 + 0.0023i -0.0050 - 0.0031i 0.0071 + 0.0035i -0.0081 - 0.0032i 0.0083 + 0.0018i -0.0080 + 0.0003i 0.0070 - 0.0029i -0.0056 + 0.0051i 0.0040 - 0.0067i -0.0021 + 0.0073i 0.0004 - 0.0071i 0.0006 + 0.0076i -0.0016 - 0.0083i 0.0016 + 0.0086i -0.0010 - 0.0098i 0.0019 + 0.0115i -0.0049 - 0.0136i 0.0099 + 0.0157i -0.0161 - 0.0161i 0.0228 + 0.0144i -0.0293 - 0.0104i 0.0346 + 0.0028i -0.0362 + 0.0091i 0.0313 - 0.0236i -0.0178 + 0.0364i -0.0027 - 0.0415i 0.0248 + 0.0350i -0.0430 - 0.0167i 0.0509 - 0.0118i -0.0409 + 0.0473i 0.0044 - 0.0777i 0.0574 + 0.0806i -0.1267 - 0.0316i 0.1536 - 0.0901i -0.0486 + 0.2372i -0.2009 - 0.2461i 0.3987 - 0.0142i -0.2675 + 0.3981i -0.2012 - 0.5160i 0.6001 + 0.1274i -0.4409 + 0.4611i -0.1457 - 0.5813i 0.4672 + 0.2175i -0.4919 + 0.1445i 0.2238 - 0.5868i 0.4555 + 0.4757i -0.6256 + 0.1063i 0.2519 - 0.8342i 1.0126 + 0.2550i -0.0176 + 0.7675i -0.3276 - 0.1033i 0.2296 - 0.2979i 0.2390 + 0.0110i 0.0290 + 0.0287i -0.0042 - 0.0087i 0.0008 - 0.0043i -0.0065 - 0.0098i -0.0074 + 0.0256i 0.0943 + 0.0057i 0.0212 - 0.1747i -0.2438 + 0.0235i 0.1168 + 0.3198i 0.3421 - 0.2369i -0.3638 - 0.2797i -0.1204 + 0.4439i 0.4315 - 0.0871i -0.2532 - 0.3065i -0.1024 + 0.3114i 0.2437 - 0.0962i -0.2030 - 0.0919i 0.0646 + 0.1816i 0.0679 - 0.1438i -0.1177 + 0.0453i 0.0856 + 0.0374i -0.0201 - 0.0570i -0.0161 + 0.0262i 0.0083 + 0.0042i 0.0127 - 0.0068i -0.0220 - 0.0072i 0.0176 + 0.0211i -0.0073 - 0.0272i -0.0018 + 0.0270i 0.0088 - 0.0251i -0.0157 + 0.0209i 0.0209 - 0.0129i -0.0223 + 0.0035i 0.0203 + 0.0042i -0.0171 - 0.0090i 0.0135 + 0.0116i -0.0091 - 0.0128i 0.0045 + 0.0127i -0.0003 - 0.0107i -0.0034 + 0.0079i 0.0062 - 0.0053i -0.0078 + 0.0036i 0.0077 - 0.0021i -0.0059 + 0.0007i 0.0031 + 0.0001i -0.0010 - 0.0007i -0.0006 + 0.0008i 0.0025 - 0.0009i -0.0046 + 0.0016i 0.0062 - 0.0025i -0.0064 + 0.0035i 0.0055 - 0.0047i -0.0040 + 0.0059i 0.0017 - 0.0071i 0.0006 + 0.0076i -0.0027 - 0.0076i 0.0047 + 0.0066i -0.0062 - 0.0051i 0.0073 + 0.0045i -0.0084 - 0.0043i 0.0090 + 0.0040i -0.0092 - 0.0042i 0.0110 + 0.0040i -0.0143 - 0.0028i 0.0184 + 0.0006i -0.0220 + 0.0037i 0.0242 - 0.0094i -0.0242 + 0.0162i 0.0208 - 0.0239i -0.0125 + 0.0314i -0.0012 - 0.0356i 0.0186 + 0.0323i -0.0342 - 0.0188i 0.0412 - 0.0036i -0.0351 + 0.0295i 0.0131 - 0.0518i 0.0255 + 0.0606i -0.0738 - 0.0408i 0.1082 - 0.0213i -0.0887 + 0.1177i -0.0255 - 0.2018i 0.2293 + 0.1636i -0.3668 + 0.0982i 0.1837 - 0.4559i 0.3301 + 0.5082i -0.7110 - 0.0079i 0.4352 - 0.6681i 0.3712 + 0.7664i -0.8451 - 0.0588i 0.4357 - 0.6276i 0.1973 + 0.6134i -0.5762 - 0.2776i 0.6100 - 0.4132i 0.1696 + 0.6793i -0.5882 - 0.1898i 0.5105 - 0.6293i 0.7340 + 0.4147i -0.0956 + 0.4526i -0.1010 - 0.1351i 0.1503 - 0.1259i 0.0687 - 0.0011i 0.0008 - 0.0018i -0.0011 - 0.0030i -0.0022 + 0.0001i 0.0269 + 0.0068i 0.0331 - 0.0704i -0.1209 - 0.0368i -0.0042 + 0.2168i 0.3059 - 0.0447i -0.1424 - 0.3430i -0.3105 + 0.2691i 0.3803 + 0.1929i 0.0188 - 0.4124i -0.3256 + 0.1534i 0.2582 + 0.1469i -0.0488 - 0.2505i -0.1395 + 0.1778i 0.1940 - 0.0114i -0.1186 - 0.1099i 0.0036 + 0.1291i 0.0656 - 0.0672i -0.0580 + 0.0000i 0.0191 + 0.0187i -0.0000 - 0.0028i 0.0059 - 0.0108i -0.0181 + 0.0101i 0.0244 - 0.0004i -0.0231 - 0.0092i 0.0187 + 0.0153i -0.0136 - 0.0199i 0.0065 + 0.0226i 0.0016 - 0.0217i -0.0086 + 0.0177i 0.0129 - 0.0126i -0.0150 + 0.0078i 0.0156 - 0.0036i -0.0144 - 0.0003i 0.0118 + 0.0037i -0.0084 - 0.0056i 0.0045 + 0.0064i -0.0010 - 0.0068i -0.0015 + 0.0069i 0.0028 - 0.0060i -0.0028 + 0.0043i 0.0018 - 0.0024i -0.0011 + 0.0007i 0.0006 + 0.0006i 0.0000 - 0.0018i -0.0007 + 0.0034i 0.0011 - 0.0047i -0.0004 + 0.0054i -0.0010 - 0.0056i 0.0027 + 0.0052i -0.0046 - 0.0044i 0.0060 + 0.0031i -0.0069 - 0.0016i 0.0074 - 0.0004i -0.0074 + 0.0025i 0.0074 - 0.0038i -0.0077 + 0.0046i 0.0077 - 0.0055i -0.0072 + 0.0062i 0.0075 - 0.0077i -0.0082 + 0.0105i 0.0083 - 0.0140i -0.0068 + 0.0180i 0.0035 - 0.0216i 0.0015 + 0.0237i -0.0084 - 0.0238i 0.0169 + 0.0206i -0.0253 - 0.0124i 0.0299 - 0.0016i -0.0259 + 0.0189i 0.0110 - 0.0334i 0.0127 + 0.0383i -0.0398 - 0.0276i 0.0613 - 0.0032i -0.0602 + 0.0535i 0.0146 - 0.1075i 0.0849 + 0.1221i -0.2037 - 0.0397i 0.2362 - 0.1692i -0.0310 + 0.3988i -0.3980 - 0.3525i 0.6540 - 0.1616i -0.2593 + 0.7673i -0.5972 - 0.7047i 0.9842 - 0.1835i -0.3090 + 0.9766i -0.6929 - 0.6781i 0.7884 - 0.2591i -0.1751 + 0.6415i -0.3692 - 0.5067i 0.6510 - 0.1351i -0.0387 + 0.5442i -0.3266 - 0.2833i 0.4851 - 0.3175i 0.3903 + 0.3005i -0.0431 + 0.1494i 0.0075 - 0.0904i 0.0494 - 0.0405i 0.0060 - 0.0032i -0.0012 - 0.0013i 0.0034 - 0.0017i 0.0123 - 0.0183i -0.0375 - 0.0240i -0.0210 + 0.0949i 0.1790 + 0.0246i -0.0066 - 0.2435i -0.2880 + 0.0896i 0.1958 + 0.2837i 0.2097 - 0.2923i -0.3284 - 0.0708i 0.0919 + 0.2745i 0.1445 - 0.2099i -0.2315 + 0.0142i 0.1368 + 0.1534i 0.0249 - 0.1750i -0.1240 + 0.0825i 0.1140 + 0.0290i -0.0402 - 0.0722i -0.0119 + 0.0471i 0.0156 - 0.0139i -0.0019 + 0.0060i -0.0028 - 0.0127i -0.0028 + 0.0185i 0.0114 - 0.0174i -0.0166 + 0.0122i 0.0189 - 0.0067i -0.0197 + 0.0010i 0.0183 + 0.0050i -0.0144 - 0.0099i 0.0090 + 0.0128i -0.0039 - 0.0137i -0.0004 + 0.0135i 0.0039 - 0.0123i -0.0063 + 0.0100i 0.0076 - 0.0068i -0.0075 + 0.0038i 0.0066 - 0.0010i -0.0052 - 0.0015i 0.0039 + 0.0035i -0.0027 - 0.0042i 0.0017 + 0.0036i -0.0011 - 0.0025i 0.0003 + 0.0013i 0.0005 - 0.0006i -0.0011 - 0.0002i 0.0017 + 0.0013i -0.0023 - 0.0019i 0.0032 + 0.0018i -0.0040 - 0.0011i 0.0045 - 0.0002i -0.0047 + 0.0017i 0.0043 - 0.0032i -0.0035 + 0.0044i 0.0023 - 0.0056i -0.0009 + 0.0068i -0.0002 - 0.0072i 0.0008 + 0.0075i -0.0016 - 0.0078i 0.0027 + 0.0077i -0.0039 - 0.0083i 0.0054 + 0.0096i -0.0075 - 0.0105i 0.0105 + 0.0106i -0.0137 - 0.0092i 0.0163 + 0.0059i -0.0180 - 0.0010i 0.0179 - 0.0057i -0.0145 + 0.0135i 0.0061 - 0.0205i 0.0073 + 0.0225i -0.0223 - 0.0154i 0.0322 - 0.0018i -0.0301 + 0.0263i 0.0097 - 0.0511i 0.0331 + 0.0616i -0.0903 - 0.0347i 0.1267 - 0.0496i -0.0801 + 0.1748i -0.1001 - 0.2523i 0.3583 + 0.1239i -0.4295 + 0.2838i 0.0115 - 0.6691i 0.6950 + 0.4475i -0.8556 + 0.4464i 0.0077 - 1.0640i 0.9908 + 0.4963i -0.8362 + 0.6833i -0.2831 - 0.9253i 0.7733 + 0.0672i -0.3056 + 0.4737i -0.1751 - 0.4411i 0.4517 - 0.0107i -0.0615 + 0.2783i -0.0711 - 0.2136i 0.3114 - 0.1071i 0.1535 + 0.1179i -0.0060 + 0.0031i 0.0106 - 0.0395i 0.0047 - 0.0070i -0.0008 - 0.0007i 0.0005 - 0.0042i -0.0064 - 0.0070i -0.0055 + 0.0275i 0.0771 + 0.0161i 0.0233 - 0.1260i -0.1791 + 0.0090i 0.0657 + 0.2258i 0.2284 - 0.1367i -0.2036 - 0.1719i -0.0593 + 0.2360i 0.2099 - 0.0731i -0.1700 - 0.1224i -0.0022 + 0.1931i 0.1384 - 0.1012i -0.1438 - 0.0399i 0.0494 + 0.1147i 0.0425 - 0.0854i -0.0611 + 0.0191i 0.0335 + 0.0133i -0.0122 - 0.0108i 0.0098 + 0.0039i -0.0132 - 0.0047i 0.0129 + 0.0106i -0.0081 - 0.0150i 0.0027 + 0.0160i 0.0018 - 0.0154i -0.0058 + 0.0138i 0.0092 - 0.0108i -0.0111 + 0.0068i 0.0113 - 0.0025i -0.0104 - 0.0012i 0.0090 + 0.0042i -0.0070 - 0.0064i 0.0047 + 0.0075i -0.0022 - 0.0074i 0.0002 + 0.0065i 0.0013 - 0.0051i -0.0025 + 0.0034i 0.0033 - 0.0016i -0.0034 + 0.0005i 0.0030 - 0.0001i -0.0023 - 0.0000i 0.0014 + 0.0001i -0.0006 - 0.0005i -0.0002 + 0.0008i 0.0009 - 0.0007i -0.0014 + 0.0009i 0.0017 - 0.0015i -0.0016 + 0.0022i 0.0010 - 0.0030i -0.0001 + 0.0036i -0.0011 - 0.0038i 0.0023 + 0.0035i -0.0035 - 0.0031i 0.0047 + 0.0025i -0.0054 - 0.0018i 0.0057 + 0.0012i -0.0060 - 0.0007i 0.0065 - 0.0003i -0.0072 + 0.0010i 0.0081 - 0.0016i -0.0090 + 0.0027i 0.0094 - 0.0045i -0.0089 + 0.0069i 0.0071 - 0.0092i -0.0039 + 0.0111i -0.0005 - 0.0121i 0.0062 + 0.0111i -0.0121 - 0.0067i 0.0158 - 0.0020i -0.0135 + 0.0137i 0.0024 - 0.0237i 0.0167 + 0.0256i -0.0388 - 0.0130i 0.0529 - 0.0197i -0.0390 + 0.0697i -0.0251 - 0.1117i 0.1364 + 0.0908i -0.2278 + 0.0497i 0.1592 - 0.2877i 0.1777 + 0.4173i -0.5910 - 0.1198i 0.5200 - 0.5611i 0.2928 + 0.8698i -1.0264 - 0.1378i 0.5784 - 0.9347i 0.6526 + 0.8794i -0.9676 + 0.3071i -0.0212 - 0.8599i 0.6216 + 0.1449i -0.2137 + 0.3329i -0.1007 - 0.2423i 0.2079 - 0.0142i -0.0109 + 0.0537i 0.0559 - 0.1248i 0.1456 - 0.0302i 0.0369 + 0.0158i -0.0049 - 0.0179i 0.0001 - 0.0071i -0.0007 - 0.0002i -0.0015 - 0.0013i 0.0015 + 0.0035i 0.0251 + 0.0000i 0.0108 - 0.0522i -0.0845 - 0.0047i 0.0172 + 0.1315i 0.1622 - 0.0478i -0.0935 - 0.1552i -0.1061 + 0.1403i 0.1672 + 0.0225i -0.0690 - 0.1522i -0.0895 + 0.1344i 0.1495 + 0.0007i -0.0768 - 0.1110i -0.0401 + 0.1102i 0.0910 - 0.0265i -0.0571 - 0.0388i 0.0089 + 0.0433i 0.0087 - 0.0231i -0.0070 + 0.0121i 0.0059 - 0.0108i -0.0089 + 0.0104i 0.0126 - 0.0066i -0.0132 + 0.0015i 0.0119 + 0.0024i -0.0101 - 0.0051i 0.0079 + 0.0072i -0.0052 - 0.0086i 0.0022 + 0.0089i 0.0005 - 0.0081i -0.0028 + 0.0068i 0.0046 - 0.0051i -0.0057 + 0.0032i 0.0060 - 0.0014i -0.0054 - 0.0002i 0.0045 + 0.0015i -0.0033 - 0.0022i 0.0018 + 0.0025i -0.0004 - 0.0025i -0.0004 + 0.0023i 0.0006 - 0.0020i -0.0006 + 0.0017i 0.0005 - 0.0012i -0.0005 + 0.0005i 0.0005 + 0.0001i -0.0004 - 0.0005i 0.0004 + 0.0008i -0.0006 - 0.0012i 0.0010 + 0.0014i -0.0016 - 0.0012i 0.0022 + 0.0008i -0.0027 + 0.0000i 0.0028 - 0.0010i -0.0028 + 0.0020i 0.0027 - 0.0028i -0.0023 + 0.0035i 0.0018 - 0.0039i -0.0014 + 0.0042i 0.0009 - 0.0048i -0.0005 + 0.0053i 0.0002 - 0.0058i 0.0004 + 0.0062i -0.0014 - 0.0066i 0.0029 + 0.0064i -0.0047 - 0.0054i 0.0062 + 0.0034i -0.0071 - 0.0007i 0.0068 - 0.0029i -0.0045 + 0.0069i -0.0006 - 0.0100i 0.0085 + 0.0094i -0.0163 - 0.0024i 0.0190 - 0.0114i -0.0108 + 0.0284i -0.0131 - 0.0409i 0.0522 + 0.0333i -0.0889 + 0.0134i 0.0803 - 0.1021i 0.0241 + 0.1848i -0.2187 - 0.1489i 0.3522 - 0.1099i -0.1500 + 0.4767i -0.4289 - 0.4880i 0.7799 - 0.1864i -0.1838 + 0.9124i -0.8443 - 0.5589i 0.8232 - 0.6240i 0.3516 + 0.9204i -0.8625 + 0.1217i 0.0123 - 0.6986i 0.4764 + 0.0503i -0.0462 + 0.2420i -0.0768 - 0.0531i 0.0312 - 0.0352i 0.0068 - 0.0581i 0.0598 - 0.0740i 0.0443 - 0.0145i -0.0013 - 0.0045i -0.0027 - 0.0038i -0.0003 + 0.0002i 0.0002 - 0.0001i 0.0052 - 0.0040i 0.0002 - 0.0180i -0.0319 - 0.0009i 0.0079 + 0.0593i 0.0896 - 0.0166i -0.0358 - 0.0993i -0.0851 + 0.0686i 0.1009 + 0.0466i -0.0089 - 0.1166i -0.1009 + 0.0658i 0.1049 + 0.0535i -0.0081 - 0.1108i -0.0815 + 0.0589i 0.0786 + 0.0314i -0.0148 - 0.0631i -0.0265 + 0.0362i 0.0272 - 0.0066i -0.0166 - 0.0032i 0.0116 + 0.0045i -0.0098 - 0.0066i 0.0070 + 0.0097i -0.0024 - 0.0110i -0.0015 + 0.0098i 0.0038 - 0.0078i -0.0052 + 0.0060i 0.0061 - 0.0042i -0.0065 + 0.0022i 0.0062 - 0.0003i -0.0054 - 0.0013i 0.0042 + 0.0027i -0.0029 - 0.0036i 0.0014 + 0.0041i -0.0000 - 0.0040i -0.0010 + 0.0035i 0.0018 - 0.0027i -0.0021 + 0.0018i 0.0020 - 0.0008i -0.0017 - 0.0000i 0.0014 + 0.0005i -0.0012 - 0.0008i 0.0010 + 0.0008i -0.0008 - 0.0007i 0.0003 + 0.0005i 0.0001 - 0.0004i -0.0003 + 0.0002i 0.0005 - 0.0002i -0.0007 + 0.0002i 0.0009 - 0.0003i -0.0009 + 0.0007i 0.0008 - 0.0012i -0.0003 + 0.0017i -0.0003 - 0.0020i 0.0010 + 0.0022i -0.0016 - 0.0022i 0.0021 + 0.0021i -0.0026 - 0.0017i 0.0028 + 0.0013i -0.0032 - 0.0011i 0.0035 + 0.0009i -0.0037 - 0.0007i 0.0039 + 0.0003i -0.0040 + 0.0003i 0.0039 - 0.0012i -0.0033 + 0.0024i 0.0021 - 0.0034i -0.0003 + 0.0038i -0.0018 - 0.0036i 0.0041 + 0.0022i -0.0059 + 0.0009i 0.0054 - 0.0058i -0.0008 + 0.0109i -0.0087 - 0.0128i 0.0208 + 0.0067i -0.0294 + 0.0107i 0.0237 - 0.0389i 0.0105 + 0.0657i -0.0762 - 0.0600i 0.1390 - 0.0172i -0.1146 + 0.1637i -0.0782 - 0.2696i 0.3647 + 0.1254i -0.3940 + 0.3271i -0.1368 - 0.6349i 0.7614 + 0.1578i -0.4643 + 0.7382i -0.5957 - 0.6953i 0.8042 - 0.4042i 0.2327 + 0.7911i -0.6864 + 0.1220i -0.0819 - 0.5257i 0.3345 - 0.0887i 0.0882 + 0.1497i -0.0407 + 0.0526i -0.0448 - 0.0231i -0.0107 - 0.0652i 0.0195 - 0.0380i 0.0041 - 0.0050i -0.0022 - 0.0007i 0.0000 + 0.0001i 0.0001 - 0.0013i -0.0024 - 0.0052i -0.0102 + 0.0008i 0.0054 + 0.0207i 0.0397 - 0.0088i -0.0129 - 0.0509i -0.0486 + 0.0293i 0.0525 + 0.0342i 0.0070 - 0.0711i -0.0749 + 0.0278i 0.0608 + 0.0578i 0.0236 - 0.0805i -0.0778 + 0.0153i 0.0440 + 0.0538i 0.0189 - 0.0520i -0.0385 + 0.0107i 0.0228 + 0.0137i -0.0071 - 0.0154i 0.0008 + 0.0121i 0.0026 - 0.0102i -0.0059 + 0.0081i 0.0083 - 0.0044i -0.0083 + 0.0004i 0.0067 + 0.0022i -0.0049 - 0.0034i 0.0036 + 0.0040i -0.0023 - 0.0044i 0.0010 + 0.0045i 0.0002 - 0.0042i -0.0012 + 0.0036i 0.0020 - 0.0027i -0.0026 + 0.0017i 0.0028 - 0.0006i -0.0026 - 0.0003i 0.0021 + 0.0010i -0.0015 - 0.0014i 0.0008 + 0.0016i -0.0003 - 0.0014i -0.0002 + 0.0011i 0.0004 - 0.0008i -0.0006 + 0.0006i 0.0007 - 0.0005i -0.0006 + 0.0004i 0.0004 - 0.0002i -0.0002 - 0.0000i 0.0001 + 0.0002i -0.0001 - 0.0003i 0.0000 + 0.0004i -0.0001 - 0.0004i 0.0003 + 0.0005i -0.0006 - 0.0005i 0.0010 + 0.0003i -0.0013 + 0.0000i 0.0016 - 0.0005i -0.0016 + 0.0009i 0.0015 - 0.0013i -0.0013 + 0.0016i 0.0010 - 0.0019i -0.0009 + 0.0021i 0.0008 - 0.0022i -0.0006 + 0.0022i 0.0003 - 0.0023i 0.0001 + 0.0023i -0.0007 - 0.0022i 0.0013 + 0.0018i -0.0019 - 0.0009i 0.0020 - 0.0002i -0.0016 + 0.0015i 0.0006 - 0.0026i 0.0014 + 0.0033i -0.0043 - 0.0025i 0.0072 - 0.0008i -0.0078 + 0.0071i 0.0028 - 0.0150i 0.0098 + 0.0198i -0.0290 - 0.0140i 0.0457 - 0.0114i -0.0383 + 0.0573i -0.0192 - 0.0981i 0.1224 + 0.0744i -0.1905 + 0.0678i 0.0771 - 0.2698i 0.2557 + 0.2797i -0.4756 + 0.1264i 0.0899 - 0.6008i 0.6237 + 0.3293i -0.5263 + 0.5570i -0.4435 - 0.6405i 0.6621 - 0.3300i 0.2469 + 0.6033i -0.4870 + 0.2029i -0.1890 - 0.3372i 0.1776 - 0.1768i 0.1309 + 0.0474i 0.0012 + 0.0662i -0.0447 + 0.0014i -0.0188 - 0.0280i -0.0007 - 0.0096i -0.0008 - 0.0001i -0.0000 - 0.0001i -0.0012 - 0.0007i -0.0034 + 0.0009i 0.0022 + 0.0057i 0.0141 - 0.0052i -0.0049 - 0.0221i -0.0219 + 0.0099i 0.0231 + 0.0161i 0.0041 - 0.0368i -0.0445 + 0.0146i 0.0355 + 0.0413i 0.0263 - 0.0523i -0.0583 - 0.0038i 0.0181 + 0.0498i 0.0302 - 0.0315i -0.0318 - 0.0073i 0.0096 + 0.0203i 0.0043 - 0.0143i -0.0077 + 0.0073i 0.0085 - 0.0029i -0.0082 - 0.0010i 0.0063 + 0.0045i -0.0030 - 0.0062i -0.0000 + 0.0058i 0.0017 - 0.0044i -0.0024 + 0.0032i 0.0028 - 0.0023i -0.0030 + 0.0014i 0.0030 - 0.0006i -0.0028 - 0.0002i 0.0024 + 0.0009i -0.0018 - 0.0014i 0.0011 + 0.0018i -0.0004 - 0.0018i -0.0003 + 0.0016i 0.0007 - 0.0013i -0.0010 + 0.0008i 0.0010 - 0.0004i -0.0008 + 0.0001i 0.0006 + 0.0001i -0.0004 - 0.0003i 0.0003 + 0.0004i -0.0002 - 0.0005i 0.0001 + 0.0004i -0.0001 - 0.0003i -0.0000 + 0.0001i 0.0001 - 0.0001i -0.0001 - 0.0000i 0.0002 + 0.0000i -0.0002 + 0.0000i 0.0002 - 0.0001i -0.0002 + 0.0003i 0.0002 - 0.0005i -0.0000 + 0.0008i -0.0002 - 0.0010i 0.0005 + 0.0011i -0.0008 - 0.0010i 0.0010 + 0.0009i -0.0012 - 0.0007i 0.0013 + 0.0006i -0.0013 - 0.0005i 0.0013 + 0.0003i -0.0013 - 0.0001i 0.0012 - 0.0002i -0.0011 + 0.0005i 0.0008 - 0.0008i -0.0002 + 0.0011i -0.0005 - 0.0010i 0.0012 + 0.0006i -0.0017 + 0.0003i 0.0017 - 0.0016i -0.0007 + 0.0032i -0.0017 - 0.0045i 0.0058 + 0.0041i -0.0104 + 0.0000i 0.0122 - 0.0090i -0.0061 + 0.0212i -0.0127 - 0.0297i 0.0428 + 0.0200i -0.0647 + 0.0227i 0.0388 - 0.0905i 0.0643 + 0.1238i -0.1927 - 0.0285i 0.1727 - 0.2027i 0.1307 + 0.3272i -0.4467 - 0.0123i 0.1869 - 0.5037i 0.4983 + 0.3460i -0.4542 + 0.4519i -0.3917 - 0.4954i 0.4696 - 0.3380i 0.2972 + 0.3881i -0.2713 + 0.2644i -0.2268 - 0.1444i 0.0344 - 0.1694i 0.0903 - 0.0233i 0.0187 + 0.0342i -0.0188 + 0.0106i -0.0084 - 0.0028i -0.0008 - 0.0003i -0.0001 - 0.0000i -0.0008 + 0.0006i 0.0005 + 0.0018i 0.0040 - 0.0023i -0.0022 - 0.0090i -0.0093 + 0.0015i 0.0065 + 0.0053i -0.0007 - 0.0146i -0.0210 + 0.0105i 0.0228 + 0.0226i 0.0173 - 0.0340i -0.0400 - 0.0063i 0.0068 + 0.0377i 0.0274 - 0.0172i -0.0211 - 0.0129i 0.0006 + 0.0175i 0.0086 - 0.0084i -0.0086 + 0.0011i 0.0065 + 0.0029i -0.0037 - 0.0054i 0.0001 + 0.0061i 0.0028 - 0.0047i -0.0041 + 0.0022i 0.0038 - 0.0001i -0.0029 - 0.0010i 0.0021 + 0.0015i -0.0016 - 0.0017i 0.0010 + 0.0019i -0.0005 - 0.0020i -0.0001 + 0.0019i 0.0005 - 0.0017i -0.0009 + 0.0013i 0.0011 - 0.0008i -0.0012 + 0.0003i 0.0010 + 0.0002i -0.0008 - 0.0004i 0.0005 + 0.0006i -0.0002 - 0.0005i 0.0000 + 0.0005i 0.0001 - 0.0003i -0.0002 + 0.0002i 0.0002 - 0.0001i -0.0003 + 0.0001i 0.0002 - 0.0000i -0.0002 + 0.0000i 0.0001 + 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0001 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0001i 0.0001 + 0.0001i -0.0003 - 0.0001i 0.0004 + 0.0000i -0.0006 + 0.0001i 0.0007 - 0.0003i -0.0006 + 0.0005i 0.0006 - 0.0007i -0.0005 + 0.0008i 0.0004 - 0.0008i -0.0002 + 0.0008i 0.0001 - 0.0007i 0.0000 + 0.0007i -0.0002 - 0.0006i 0.0004 + 0.0005i -0.0005 - 0.0002i 0.0006 - 0.0001i -0.0005 + 0.0006i 0.0001 - 0.0009i 0.0006 + 0.0010i -0.0014 - 0.0007i 0.0022 - 0.0002i -0.0026 + 0.0020i 0.0016 - 0.0045i 0.0017 + 0.0067i -0.0078 - 0.0065i 0.0147 + 0.0008i -0.0174 + 0.0127i 0.0069 - 0.0307i 0.0240 + 0.0389i -0.0645 - 0.0125i 0.0719 - 0.0594i 0.0079 + 0.1304i -0.1574 - 0.0869i 0.2023 - 0.1311i 0.0508 + 0.3081i -0.3820 - 0.0634i 0.1804 - 0.4172i 0.4208 + 0.2711i -0.3167 + 0.4048i -0.3788 - 0.3099i 0.2551 - 0.3458i 0.3029 + 0.1682i -0.0735 + 0.2452i -0.1728 + 0.0035i -0.0429 - 0.0927i 0.0287 - 0.0351i 0.0121 + 0.0075i -0.0022 + 0.0053i -0.0007 + 0.0007i -0.0001 + 0.0001i 0.0003 + 0.0006i 0.0011 - 0.0007i -0.0015 - 0.0033i -0.0050 - 0.0002i -0.0004 + 0.0025i -0.0016 - 0.0027i -0.0062 + 0.0070i 0.0145 + 0.0082i 0.0072 - 0.0217i -0.0262 - 0.0026i 0.0042 + 0.0260i 0.0205 - 0.0106i -0.0139 - 0.0115i -0.0023 + 0.0128i 0.0081 - 0.0042i -0.0064 - 0.0018i 0.0033 + 0.0044i 0.0001 - 0.0050i -0.0030 + 0.0035i 0.0041 - 0.0009i -0.0033 - 0.0015i 0.0017 + 0.0025i -0.0003 - 0.0023i -0.0004 + 0.0019i 0.0008 - 0.0015i -0.0010 + 0.0011i 0.0012 - 0.0008i -0.0012 + 0.0004i 0.0012 - 0.0001i -0.0011 - 0.0003i 0.0009 + 0.0005i -0.0005 - 0.0007i 0.0002 + 0.0007i 0.0000 - 0.0006i -0.0002 + 0.0005i 0.0003 - 0.0003i -0.0003 + 0.0001i 0.0002 - 0.0000i -0.0002 - 0.0000i 0.0001 + 0.0001i -0.0001 - 0.0001i 0.0000 + 0.0001i 0.0000 - 0.0001i -0.0000 + 0.0001i 0.0000 - 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0001i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0001i -0.0000 + 0.0001i -0.0000 - 0.0002i 0.0001 + 0.0003i -0.0002 - 0.0004i 0.0003 + 0.0004i -0.0004 - 0.0003i 0.0005 + 0.0003i -0.0005 - 0.0002i 0.0004 + 0.0001i -0.0004 + 0.0000i 0.0004 - 0.0001i -0.0003 + 0.0002i 0.0002 - 0.0003i -0.0000 + 0.0003i -0.0002 - 0.0003i 0.0005 + 0.0002i -0.0006 + 0.0002i 0.0005 - 0.0006i -0.0001 + 0.0011i -0.0007 - 0.0014i 0.0018 + 0.0012i -0.0031 - 0.0001i 0.0038 - 0.0024i -0.0026 + 0.0061i -0.0023 - 0.0093i 0.0111 + 0.0086i -0.0204 + 0.0012i 0.0200 - 0.0219i 0.0037 + 0.0427i -0.0503 - 0.0344i 0.0806 - 0.0285i -0.0267 + 0.1149i -0.1194 - 0.1058i 0.1908 - 0.0870i 0.0250 + 0.2651i -0.3196 - 0.0490i 0.1139 - 0.3530i 0.3677 + 0.1517i -0.1522 + 0.3644i -0.3412 - 0.1159i 0.0557 - 0.2956i 0.2287 - 0.0069i 0.0497 + 0.1494i -0.0737 + 0.0611i -0.0428 - 0.0186i -0.0010 - 0.0143i 0.0029 - 0.0002i 0.0004 + 0.0006i 0.0001 + 0.0001i 0.0003 - 0.0002i -0.0008 - 0.0008i -0.0026 + 0.0006i -0.0010 + 0.0025i 0.0001 + 0.0011i 0.0002 + 0.0030i 0.0073 + 0.0003i 0.0002 - 0.0122i -0.0157 + 0.0015i 0.0046 + 0.0163i 0.0136 - 0.0079i -0.0099 - 0.0082i -0.0021 + 0.0094i 0.0064 - 0.0026i -0.0046 - 0.0023i 0.0014 + 0.0040i 0.0016 - 0.0035i -0.0033 + 0.0012i 0.0028 + 0.0013i -0.0011 - 0.0025i -0.0005 + 0.0022i 0.0013 - 0.0013i -0.0014 + 0.0004i 0.0011 + 0.0000i -0.0010 - 0.0003i 0.0008 + 0.0005i -0.0006 - 0.0006i 0.0004 + 0.0007i -0.0002 - 0.0008i -0.0001 + 0.0007i 0.0003 - 0.0006i -0.0004 + 0.0004i 0.0004 - 0.0002i -0.0004 + 0.0000i 0.0003 + 0.0001i -0.0002 - 0.0001i 0.0001 + 0.0001i -0.0000 - 0.0001i 0.0000 + 0.0001i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0001 - 0.0000i -0.0001 + 0.0000i 0.0002 - 0.0001i -0.0002 + 0.0001i 0.0002 - 0.0002i -0.0002 + 0.0003i 0.0001 - 0.0003i -0.0000 + 0.0003i -0.0000 - 0.0002i 0.0001 + 0.0002i -0.0001 - 0.0002i 0.0001 + 0.0001i -0.0002 - 0.0000i 0.0002 - 0.0001i -0.0001 + 0.0002i -0.0000 - 0.0003i 0.0002 + 0.0003i -0.0005 - 0.0002i 0.0007 - 0.0002i -0.0007 + 0.0007i 0.0003 - 0.0014i 0.0007 + 0.0019i -0.0023 - 0.0018i 0.0042 + 0.0002i -0.0051 + 0.0034i 0.0027 - 0.0085i 0.0051 + 0.0119i -0.0174 - 0.0074i 0.0249 - 0.0113i -0.0101 + 0.0378i -0.0348 - 0.0427i 0.0756 - 0.0089i -0.0385 + 0.0959i -0.0951 - 0.0988i 0.1611 - 0.0729i 0.0374 + 0.2169i -0.2614 + 0.0012i 0.0218 - 0.2914i 0.3023 + 0.0217i 0.0029 + 0.2883i -0.2458 + 0.0411i -0.0740 - 0.1798i 0.1053 - 0.0852i 0.0708 + 0.0424i -0.0042 + 0.0415i -0.0131 + 0.0066i -0.0021 - 0.0013i 0.0002 - 0.0002i 0.0000 - 0.0000i -0.0002 - 0.0001i -0.0007 + 0.0006i 0.0001 + 0.0016i 0.0011 + 0.0008i 0.0010 + 0.0002i 0.0022 - 0.0015i -0.0023 - 0.0049i -0.0076 + 0.0033i 0.0047 + 0.0087i 0.0077 - 0.0064i -0.0073 - 0.0048i -0.0011 + 0.0069i 0.0049 - 0.0021i -0.0037 - 0.0020i 0.0007 + 0.0034i 0.0019 - 0.0024i -0.0027 + 0.0000i 0.0015 + 0.0018i 0.0002 - 0.0020i -0.0013 + 0.0010i 0.0013 + 0.0000i -0.0009 - 0.0006i 0.0004 + 0.0007i -0.0001 - 0.0007i -0.0000 + 0.0006i 0.0002 - 0.0005i -0.0003 + 0.0004i 0.0004 - 0.0003i -0.0004 + 0.0002i 0.0004 - 0.0000i -0.0004 - 0.0001i 0.0003 + 0.0002i -0.0002 - 0.0002i 0.0001 + 0.0002i -0.0000 - 0.0002i -0.0000 + 0.0001i 0.0000 - 0.0001i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0001i 0.0001 + 0.0001i -0.0001 - 0.0001i 0.0002 + 0.0001i -0.0002 - 0.0000i 0.0002 - 0.0000i -0.0001 + 0.0001i 0.0001 - 0.0001i -0.0001 + 0.0001i 0.0000 - 0.0001i 0.0000 + 0.0001i -0.0001 - 0.0001i 0.0001 + 0.0000i -0.0002 + 0.0001i 0.0001 - 0.0002i 0.0000 + 0.0003i -0.0003 - 0.0003i 0.0006 + 0.0002i -0.0009 + 0.0002i 0.0009 - 0.0009i -0.0004 + 0.0018i -0.0010 - 0.0025i 0.0032 + 0.0021i -0.0055 + 0.0005i 0.0056 - 0.0058i -0.0000 + 0.0118i -0.0126 - 0.0117i 0.0245 - 0.0034i -0.0164 + 0.0310i -0.0243 - 0.0421i 0.0662 - 0.0019i -0.0340 + 0.0815i -0.0848 - 0.0776i 0.1226 - 0.0780i 0.0670 + 0.1636i -0.1952 + 0.0603i -0.0647 - 0.2107i 0.2030 - 0.0815i 0.1023 + 0.1680i -0.1118 + 0.1116i -0.0985 - 0.0521i 0.0091 - 0.0668i 0.0326 - 0.0092i 0.0093 + 0.0089i -0.0001 + 0.0028i -0.0001 + 0.0001i -0.0000 - 0.0000i -0.0000 + 0.0002i 0.0004 + 0.0004i 0.0008 - 0.0000i 0.0003 - 0.0003i 0.0001 - 0.0006i -0.0015 - 0.0010i -0.0024 + 0.0026i 0.0036 + 0.0034i 0.0034 - 0.0046i -0.0051 - 0.0021i -0.0000 + 0.0048i 0.0035 - 0.0019i -0.0030 - 0.0015i 0.0005 + 0.0028i 0.0017 - 0.0018i -0.0021 - 0.0004i 0.0007 + 0.0016i 0.0007 - 0.0013i -0.0012 + 0.0002i 0.0008 + 0.0005i -0.0002 - 0.0007i -0.0002 + 0.0005i 0.0003 - 0.0003i -0.0003 + 0.0002i 0.0003 - 0.0001i -0.0003 - 0.0000i 0.0003 + 0.0001i -0.0003 - 0.0002i 0.0002 + 0.0002i -0.0001 - 0.0002i 0.0000 + 0.0002i 0.0000 - 0.0002i -0.0001 + 0.0001i 0.0001 - 0.0001i -0.0001 + 0.0000i 0.0001 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0001i -0.0000 + 0.0001i 0.0000 - 0.0001i 0.0000 + 0.0001i -0.0000 - 0.0001i 0.0001 + 0.0001i -0.0001 - 0.0000i 0.0001 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0001i -0.0000 - 0.0001i 0.0001 + 0.0001i -0.0001 + 0.0000i 0.0002 - 0.0001i -0.0001 + 0.0003i -0.0001 - 0.0004i 0.0004 + 0.0004i -0.0008 - 0.0002i 0.0011 - 0.0003i -0.0011 + 0.0012i 0.0002 - 0.0024i 0.0019 + 0.0029i -0.0048 - 0.0015i 0.0065 - 0.0032i -0.0031 + 0.0101i -0.0085 - 0.0128i 0.0220 + 0.0007i -0.0170 + 0.0257i -0.0201 - 0.0371i 0.0564 - 0.0044i -0.0196 + 0.0715i -0.0812 - 0.0483i 0.0772 - 0.0872i 0.0929 + 0.1012i -0.1140 + 0.1015i -0.1128 - 0.1092i 0.0837 - 0.1205i 0.1140 + 0.0435i -0.0045 + 0.0878i -0.0506 + 0.0165i -0.0172 - 0.0196i 0.0036 - 0.0092i 0.0024 - 0.0007i 0.0002 + 0.0001i -0.0000 + 0.0000i 0.0001 + 0.0000i 0.0002 - 0.0002i 0.0000 - 0.0002i 0.0001 + 0.0000i -0.0003 - 0.0001i -0.0004 + 0.0010i 0.0019 + 0.0009i 0.0010 - 0.0025i -0.0030 - 0.0005i 0.0005 + 0.0029i 0.0022 - 0.0016i -0.0023 - 0.0010i 0.0004 + 0.0022i 0.0015 - 0.0013i -0.0016 - 0.0005i 0.0004 + 0.0013i 0.0007 - 0.0008i -0.0008 - 0.0001i 0.0003 + 0.0006i 0.0001 - 0.0005i -0.0003 + 0.0002i 0.0003 + 0.0000i -0.0002 - 0.0001i 0.0001 + 0.0001i -0.0001 - 0.0001i 0.0001 + 0.0002i -0.0000 - 0.0002i -0.0000 + 0.0002i 0.0001 - 0.0001i -0.0001 + 0.0001i 0.0001 - 0.0001i -0.0001 + 0.0000i 0.0001 + 0.0000i -0.0001 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0001i 0.0000 + 0.0001i -0.0001 - 0.0000i 0.0002 - 0.0000i -0.0002 + 0.0002i 0.0001 - 0.0004i 0.0001 + 0.0005i -0.0005 - 0.0005i 0.0010 + 0.0002i -0.0014 + 0.0006i 0.0010 - 0.0019i 0.0007 + 0.0030i -0.0037 - 0.0025i 0.0063 - 0.0014i -0.0043 + 0.0084i -0.0062 - 0.0121i 0.0193 + 0.0015i -0.0141 + 0.0228i -0.0206 - 0.0298i 0.0461 - 0.0125i -0.0002 + 0.0612i -0.0745 - 0.0148i 0.0277 - 0.0860i 0.0960 + 0.0343i -0.0303 + 0.1029i -0.1023 - 0.0144i -0.0083 - 0.0883i 0.0605 - 0.0261i 0.0288 + 0.0286i -0.0068 + 0.0184i -0.0071 + 0.0007i -0.0011 - 0.0015i 0.0000 - 0.0002i 0.0000 - 0.0000i 0.0000 - 0.0001i -0.0000 - 0.0001i 0.0001 - 0.0001i -0.0000 - 0.0002i -0.0002 + 0.0002i 0.0007 + 0.0003i 0.0003 - 0.0011i -0.0014 - 0.0001i 0.0004 + 0.0014i 0.0011 - 0.0010i -0.0015 - 0.0004i 0.0004 + 0.0015i 0.0011 - 0.0010i -0.0012 - 0.0004i 0.0002 + 0.0011i 0.0006 - 0.0006i -0.0006 - 0.0002i 0.0001 + 0.0004i 0.0002 - 0.0003i -0.0003 + 0.0000i 0.0001 + 0.0001i -0.0000 - 0.0001i -0.0000 + 0.0001i 0.0000 - 0.0001i -0.0000 + 0.0001i 0.0001 - 0.0001i -0.0001 + 0.0001i 0.0001 - 0.0000i -0.0001 - 0.0000i 0.0001 + 0.0000i -0.0001 - 0.0001i 0.0000 + 0.0001i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 + 0.0001i -0.0001 - 0.0001i 0.0002 + 0.0000i -0.0002 + 0.0001i 0.0002 - 0.0002i -0.0001 + 0.0005i -0.0002 - 0.0006i 0.0008 + 0.0005i -0.0013 + 0.0001i 0.0013 - 0.0013i -0.0000 + 0.0027i -0.0028 - 0.0027i 0.0057 - 0.0005i -0.0042 + 0.0072i -0.0056 - 0.0106i 0.0169 - 0.0001i -0.0089 + 0.0213i -0.0230 - 0.0204i 0.0332 - 0.0218i 0.0188 + 0.0458i -0.0570 + 0.0158i -0.0151 - 0.0652i 0.0685 - 0.0187i 0.0263 + 0.0641i -0.0501 + 0.0343i -0.0362 - 0.0290i 0.0087 - 0.0281i 0.0144 - 0.0021i 0.0030 + 0.0042i -0.0006 + 0.0012i -0.0002 + 0.0000i -0.0000 - 0.0000i -0.0000 - 0.0000i -0.0000 - 0.0000i -0.0001 - 0.0001i -0.0002 + 0.0002i 0.0004 + 0.0002i 0.0003 - 0.0006i -0.0007 - 0.0002i 0.0000 + 0.0007i 0.0005 - 0.0004i -0.0007 - 0.0002i 0.0003 + 0.0008i 0.0006 - 0.0007i -0.0009 - 0.0002i 0.0002 + 0.0008i 0.0005 - 0.0004i -0.0004 - 0.0002i 0.0000 + 0.0003i 0.0002 - 0.0001i -0.0002 - 0.0001i 0.0000 + 0.0001i 0.0000 - 0.0001i -0.0001 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0001 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0001i -0.0000 - 0.0001i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0001i -0.0000 - 0.0001i 0.0001 + 0.0001i -0.0002 - 0.0000i 0.0003 - 0.0001i -0.0002 + 0.0004i -0.0000 - 0.0006i 0.0005 + 0.0006i -0.0011 - 0.0002i 0.0013 - 0.0009i -0.0004 + 0.0023i -0.0023 - 0.0026i 0.0050 - 0.0004i -0.0034 + 0.0065i -0.0061 - 0.0086i 0.0143 - 0.0032i -0.0021 + 0.0196i -0.0241 - 0.0092i 0.0169 - 0.0276i 0.0304 + 0.0240i -0.0287 + 0.0331i -0.0358 - 0.0294i 0.0250 - 0.0377i 0.0367 + 0.0158i -0.0045 + 0.0307i -0.0200 + 0.0041i -0.0064 - 0.0085i 0.0016 - 0.0036i 0.0009 - 0.0001i 0.0001 + 0.0001i -0.0000 + 0.0000i -0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0001i 0.0003 - 0.0000i 0.0000 - 0.0006i -0.0007 - 0.0002i -0.0002 + 0.0007i 0.0005 + 0.0001i -0.0001 - 0.0003i 0.0000 + 0.0002i 0.0002 - 0.0003i -0.0005 - 0.0000i 0.0001 + 0.0005i 0.0003 - 0.0003i -0.0003 - 0.0001i 0.0000 + 0.0002i 0.0001 - 0.0001i -0.0001 - 0.0001i -0.0000 + 0.0001i 0.0001 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0001i 0.0000 - 0.0001i 0.0001 + 0.0001i -0.0002 - 0.0001i 0.0003 - 0.0000i -0.0003 + 0.0002i 0.0001 - 0.0005i 0.0004 + 0.0006i -0.0009 - 0.0003i 0.0012 - 0.0007i -0.0004 + 0.0020i -0.0020 - 0.0022i 0.0044 - 0.0008i -0.0019 + 0.0062i -0.0070 - 0.0059i 0.0107 - 0.0065i 0.0048 + 0.0159i -0.0209 + 0.0023i 0.0001 - 0.0254i 0.0289 + 0.0014i -0.0008 + 0.0305i -0.0295 + 0.0019i -0.0056 - 0.0253i 0.0183 - 0.0087i 0.0093 + 0.0100i -0.0029 + 0.0069i -0.0030 + 0.0005i -0.0006 - 0.0005i 0.0000 - 0.0001i 0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 - 0.0000i 0.0000 - 0.0002i -0.0003 - 0.0003i -0.0006 + 0.0003i 0.0002 + 0.0008i 0.0008 - 0.0001i -0.0000 - 0.0006i -0.0003 + 0.0000i 0.0000 + 0.0001i -0.0001 + 0.0000i 0.0001 + 0.0002i 0.0001 - 0.0002i -0.0002 - 0.0001i 0.0000 + 0.0001i 0.0001 - 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 - 0.0000i -0.0001 + 0.0000i 0.0000 - 0.0001i 0.0000 + 0.0001i -0.0001 - 0.0001i 0.0002 + 0.0000i -0.0003 + 0.0002i 0.0001 - 0.0004i 0.0003 + 0.0005i -0.0008 - 0.0003i 0.0010 - 0.0006i -0.0002 + 0.0018i -0.0020 - 0.0017i 0.0036 - 0.0015i -0.0001 + 0.0056i -0.0074 - 0.0026i 0.0059 - 0.0088i 0.0097 + 0.0095i -0.0128 + 0.0104i -0.0113 - 0.0153i 0.0160 - 0.0124i 0.0133 + 0.0144i -0.0108 + 0.0134i -0.0119 - 0.0061i 0.0017 - 0.0089i 0.0050 - 0.0010i 0.0014 + 0.0016i -0.0001 + 0.0006i -0.0001 + 0.0000i -0.0000 - 0.0000i -0.0000 - 0.0000i -0.0001 + 0.0000i -0.0002 + 0.0001i -0.0001 + 0.0005i 0.0006 + 0.0004i 0.0006 - 0.0005i -0.0004 - 0.0007i -0.0005 + 0.0003i 0.0002 + 0.0003i 0.0002 - 0.0001i -0.0000 - 0.0000i 0.0000 - 0.0000i -0.0001 - 0.0000i 0.0000 + 0.0001i 0.0000 - 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0001 + 0.0000i 0.0000 - 0.0001i -0.0000 + 0.0001i -0.0001 - 0.0001i 0.0002 + 0.0000i -0.0002 + 0.0001i 0.0001 - 0.0003i 0.0002 + 0.0004i -0.0007 - 0.0002i 0.0008 - 0.0006i 0.0001 + 0.0016i -0.0021 - 0.0010i 0.0026 - 0.0022i 0.0018 + 0.0045i -0.0066 + 0.0008i 0.0005 - 0.0086i 0.0105 + 0.0018i -0.0028 + 0.0120i -0.0130 - 0.0028i 0.0017 - 0.0130i 0.0116 - 0.0002i 0.0020 + 0.0089i -0.0054 + 0.0030i -0.0026 - 0.0022i 0.0003 - 0.0015i 0.0004 - 0.0002i 0.0001 + 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i 0.0001 + 0.0001i 0.0003 + 0.0001i 0.0004 - 0.0002i -0.0000 - 0.0007i -0.0007 - 0.0002i -0.0003 + 0.0006i 0.0005 + 0.0003i 0.0002 - 0.0004i -0.0002 - 0.0001i -0.0000 + 0.0001i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0001i -0.0001 - 0.0001i 0.0001 + 0.0000i -0.0002 + 0.0001i 0.0001 - 0.0003i 0.0002 + 0.0003i -0.0006 - 0.0001i 0.0006 - 0.0007i 0.0004 + 0.0013i -0.0020 - 0.0002i 0.0012 - 0.0027i 0.0032 + 0.0026i -0.0041 + 0.0035i -0.0036 - 0.0057i 0.0068 - 0.0038i 0.0041 + 0.0074i -0.0072 + 0.0046i -0.0050 - 0.0059i 0.0038 - 0.0049i 0.0040 + 0.0016i -0.0000 + 0.0025i -0.0010 + 0.0005i -0.0003 - 0.0002i -0.0000 - 0.0001i 0.0000 - 0.0000i 0.0000 - 0.0000i 0.0001 - 0.0001i -0.0000 - 0.0002i -0.0003 - 0.0002i -0.0004 + 0.0003i 0.0003 + 0.0005i 0.0006 - 0.0002i -0.0001 - 0.0005i -0.0004 + 0.0001i 0.0001 + 0.0002i 0.0001 - 0.0001i -0.0001 - 0.0000i 0.0000 + 0.0001i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0001i -0.0001 - 0.0001i 0.0001 + 0.0000i -0.0001 + 0.0001i 0.0000 - 0.0002i 0.0002 + 0.0003i -0.0005 + 0.0001i 0.0003 - 0.0007i 0.0008 + 0.0009i -0.0016 + 0.0007i -0.0003 - 0.0024i 0.0033 + 0.0003i -0.0009 + 0.0041i -0.0047 - 0.0013i 0.0016 - 0.0050i 0.0051 + 0.0015i -0.0009 + 0.0049i -0.0042 - 0.0001i -0.0008 - 0.0030i 0.0015 - 0.0011i 0.0008 + 0.0003i 0.0001 + 0.0003i -0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 - 0.0000i -0.0001 - 0.0000i -0.0001 + 0.0001i 0.0000 + 0.0003i 0.0004 + 0.0001i 0.0002 - 0.0004i -0.0004 - 0.0002i -0.0002 + 0.0003i 0.0003 + 0.0002i 0.0001 - 0.0002i -0.0001 - 0.0000i 0.0000 + 0.0001i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 + 0.0001i -0.0001 - 0.0000i 0.0001 - 0.0000i -0.0001 + 0.0001i -0.0000 - 0.0002i 0.0003 + 0.0001i -0.0004 + 0.0002i -0.0001 - 0.0007i 0.0010 + 0.0003i -0.0008 + 0.0012i -0.0014 - 0.0014i 0.0020 - 0.0015i 0.0015 + 0.0025i -0.0027 + 0.0015i -0.0014 - 0.0027i 0.0026 - 0.0013i 0.0014 + 0.0023i -0.0015 + 0.0017i -0.0015 - 0.0005i -0.0002 - 0.0007i 0.0001 - 0.0002i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 + 0.0000i -0.0000 + 0.0000i 0.0001 + 0.0001i 0.0001 - 0.0001i -0.0001 - 0.0002i -0.0003 + 0.0001i 0.0001 + 0.0003i 0.0003 - 0.0001i -0.0001 - 0.0002i -0.0001 + 0.0001i 0.0001 + 0.0001i 0.0000 - 0.0001i -0.0001 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 - 0.0000i -0.0000 + 0.0000i -0.0000 - 0.0000i 0.0000 + 0.0000i -0.0000 + 0.0000i 0.0000 - 0.0000i 0.0000 + 0.0000i -0.0001 - 0.0000i 0.0001 - 0.0000i -0.0000 + 0.0001i -0.0001 - 0.0002i 0.0003 + 0.0000i -0.0002 + 0.0004i -0.0004 - 0.0004i 0.0008 - 0.0003i 0.0002 + 0.0011i -0.0014 - 0.0000i 0.0002 - 0.0016i 0.0016 + 0.0004i -0.0005 + 0.0015i -0.0015 - 0.0007i 0.0007 - 0.0016i 0.0016 + 0.0002i 0.0004 + 0.0011i -0.0004 + 0.0005i -0.0002 + 0.0000i
norm(D*X1-J)
ans = 189.9414

Torsten on 10 Jul 2024
Moved: Torsten on 10 Jul 2024
The condition number of your matrix D is around 1e11 (see above). This is near to singular. I think you cannot expect a better result.
##### 3 CommentsShow 1 older commentHide 1 older comment
Torsten on 10 Jul 2024
Edited: Torsten on 10 Jul 2024
You can reduce the residual norm by post-iteration. I don't know if this leads to a "better" solution from the physical point of view.
J = J.W2_s;
J = J(:);
um=1e-2;
lambda=1.153*um;
zsize=10*um;%Axial propagation distance
zsize2=12*um;
rect_size=0.875*um;
FL=50*um;
Ni=10;
Nk=100;
Nis=Ni^2;
Nks=Nk^2;
TMC=zeros(Nis,Nis);%Transmission matrix size
dx1=FL/Ni;%Input and output surface element spacing
lefts1=(FL-dx1)/2;
lefts2=(FL-dx2)/2;
xj=linspace(-lefts1,lefts1,Ni);
yj=xj;
xi=xj;
yi=yj;
xk=linspace(-lefts2,lefts2,Nk);
yk=xk;
k0 = 2*pi/lambda;
[XI,YI] = meshgrid(xi,yi);
[XK,YK] = meshgrid(xk,yk);
Wkj=zeros(Nks,Nis);%The size of the right propagation matrix w
Wki=zeros(Nis,Nks);%left propagation matrix size
%
% input matrix
for jj=1:1:Nis
rho_p1 = sqrt((XK-XI(jj)).^2+...
(YK-YI(jj)).^2+zsize^2);
f_xy = k0.*zsize./(2i*pi).*exp(k0*rho_p1*1i)./rho_p1.^2.*(1-1./(k0*rho_p1*1i));
f_xy=reshape(f_xy,[Nks,1]);
Wkj(:,jj)=f_xy;
end
%Output matrix
for jj=1:1:Nis
rho_p1 = sqrt((XK-XI(jj)-4*um).^2+...
(YK-YI(jj)+um).^2+zsize2^2);
f_xy = k0.*zsize2./(2i*pi).*exp(k0*rho_p1*1i)./rho_p1.^2.*(1-1./(k0*rho_p1*1i));
f_xy=reshape(f_xy,[Nks,1]);
Wki(jj,:)=f_xy.';
end
clear TMC rect_size f_xy rho_p1 zsize YI YK XI XK yk xk lefts1 lefts2
C=cell(Ni^2,1);
% ab=single(Wki);
%
% How to calculate the final matrix may still be a problem. The C matrix is the D matrix of the next code, D=C=RVL, R is the output propagation matrix (Relso Murphy propagation), L is the input matrix,
% V is the modulation matrix, which is equivalent to phase spatial light modulation. The size of C is 10000*10000
for jj=1:1:Nis
BIJK=zeros(Nis,Nks);
for i=1:1:Nis
BIJK(i,:)=Wki(i,:).*Wkj(:,jj).';
% BIJK(i,:)=Wki(i,:).*Wki(jj,:);
end
C{jj,1}=BIJK;
end
D = [];
for i = 1:100
D = [D;C{i}];
end
%cond(D)
dD = decomposition(D);
X1 = dD\J;
norm(X1)
ans = 8.8946e+08
res = D*X1-J;
norm(res)
ans = 189.9414
deltax = dD\res;
norm(deltax)
ans = 9.0709e+03
X2 = X1-deltax;
res = D*X2-J;
norm(res)
ans = 0.8860

Thank you for providing me with ideas to solve the problem and allowing me to discover the main reasons,That my condition number is too large.I have almost solve this problem now.

### Categories

Find more on Systems of Nonlinear Equations in Help Center and File Exchange

R2022a

### Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!