The problem appears (to me) that you are using the absolute value (‘P2’) of the fft result. This essentially discards the phase information.
If you also calculate the phase, for example using:
Q1 = angle(Y);
and then reconstitute it using:
Y2 = P1 * exp(1i*Q1);
you will likely get the original signal and can then take its inverse Fourier transform.
I included an example of this at the end after ‘Illustrating —’.
Fs = 1000; % Sampling frequency
T = 1/Fs; % Sampling period
L = 1500; % Length of signal
t = (0:L-1)*T; % Time vector
S = 0.7*sin(2*pi*50*t) + sin(2*pi*120*t);
X = S + 2*randn(size(t));
figure(1)
plot(1000*t(1:50),X(1:50))
title("Signal Corrupted with Zero-Mean Random Noise")
xlabel("t (milliseconds)")
ylabel("X(t)")
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1677181/image.png)
Y = fft(X);
P2 = abs(Y/L);
P1 = P2(1:L/2+1);
P1(2:end-1) = 2*P1(2:end-1);
f = Fs*(0:(L/2))/L;
figure(2)
plot(f,P1)
title("Single-Sided Amplitude Spectrum of X(t)")
xlabel("f (Hz)")
ylabel("|P1(f)|")
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1677186/image.png)
X2=ifft(Y);
figure(3)
plot(X2(1:50))
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1677191/image.png)
Y2 = 2*[P1(1) P1(2:end)/2 fliplr(conj(P1(2:end)))/2];
X3 = ifft(L*Y2);
figure(4)
plot(Y2)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1677196/image.png)
figure(5)
plot(X3(1:50))
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1677201/image.png)
% Illustrating —
Y = fft(X); % Re-Calculate 'Y'
P2 = abs(Y); % Magnitude (AADDED)
Q2 = angle(Y); % Phase (ADDED)
Y2 = P2 .* exp(1i*Q2); % Re-Constitute Complex Vector (ADDED)
Compare_Vectors = [Y2; Y]
Compare_Vectors =
1.0e+02 *
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Columns 334 through 342
0.0823 - 0.6173i 0.4074 + 0.0847i 0.0203 + 0.1877i 0.4931 - 0.1128i -0.3138 - 0.4542i 0.8078 - 0.3388i -1.0445 - 0.3479i 0.1200 - 0.5006i 0.9462 - 0.3743i
0.0823 - 0.6173i 0.4074 + 0.0847i 0.0203 + 0.1877i 0.4931 - 0.1128i -0.3138 - 0.4542i 0.8078 - 0.3388i -1.0445 - 0.3479i 0.1200 - 0.5006i 0.9462 - 0.3743i
Columns 343 through 351
0.7213 - 0.2714i -0.0128 + 0.2321i 0.2718 - 1.2150i -0.1946 + 0.1702i -0.0364 - 0.2613i 0.4784 + 0.7063i 0.1367 + 0.7856i -0.6493 + 1.2302i 0.0287 + 0.5391i
0.7213 - 0.2714i -0.0128 + 0.2321i 0.2718 - 1.2150i -0.1946 + 0.1702i -0.0364 - 0.2613i 0.4784 + 0.7063i 0.1367 + 0.7856i -0.6493 + 1.2302i 0.0287 + 0.5391i
Columns 352 through 360
0.4551 + 0.8099i -0.5271 + 0.3819i -0.0473 - 0.5159i 1.4531 - 0.6376i 0.1152 - 0.0719i -0.6970 + 0.4924i -0.6528 + 0.0574i -0.6857 - 0.6095i -0.9102 - 1.0721i
0.4551 + 0.8099i -0.5271 + 0.3819i -0.0473 - 0.5159i 1.4531 - 0.6376i 0.1152 - 0.0719i -0.6970 + 0.4924i -0.6528 + 0.0574i -0.6857 - 0.6095i -0.9102 - 1.0721i
Columns 361 through 369
-0.2145 + 0.9039i 0.5456 + 0.4047i -0.4826 + 0.2876i 0.2839 + 0.5934i 0.0100 + 0.9151i 0.6555 + 0.3976i 0.4706 - 0.4107i -0.7025 + 0.1871i 0.0274 + 0.0711i
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Columns 370 through 378
-0.2054 - 0.7041i -0.8437 - 1.2069i -0.7244 - 0.6242i 0.3895 + 1.0220i 0.8706 - 0.1424i 0.0955 + 1.5444i -0.8000 - 0.1511i 1.4013 + 0.5624i -0.4943 + 0.2324i
-0.2054 - 0.7041i -0.8437 - 1.2069i -0.7244 - 0.6242i 0.3895 + 1.0220i 0.8706 - 0.1424i 0.0955 + 1.5444i -0.8000 - 0.1511i 1.4013 + 0.5624i -0.4943 + 0.2324i
Columns 379 through 387
0.6477 + 0.7168i 0.1663 - 0.8324i 0.0757 + 0.3563i 0.8585 - 0.3655i -0.4474 + 1.0009i 0.0021 - 0.3283i -0.7639 + 0.2843i -0.4141 + 1.0446i -0.6161 + 0.3904i
0.6477 + 0.7168i 0.1663 - 0.8324i 0.0757 + 0.3563i 0.8585 - 0.3655i -0.4474 + 1.0009i 0.0021 - 0.3283i -0.7639 + 0.2843i -0.4141 + 1.0446i -0.6161 + 0.3904i
Columns 388 through 396
-0.7583 - 0.2662i -0.4335 + 0.1334i -0.8608 + 0.0569i 0.1922 + 0.2801i -0.6481 - 0.4986i 0.0975 + 0.7843i -0.3691 - 0.6722i -0.3558 - 0.0524i -0.3317 + 0.7125i
-0.7583 - 0.2662i -0.4335 + 0.1334i -0.8608 + 0.0569i 0.1922 + 0.2801i -0.6481 - 0.4986i 0.0975 + 0.7843i -0.3691 - 0.6722i -0.3558 - 0.0524i -0.3317 + 0.7125i
Columns 397 through 405
-0.7112 + 0.0208i -0.6825 - 0.4276i 0.5705 - 0.3847i -1.0901 + 0.4084i 0.0617 - 0.0823i 0.5150 + 0.0676i -0.0856 + 0.3413i 0.0598 + 0.0649i 0.4016 + 0.8181i
-0.7112 + 0.0208i -0.6825 - 0.4276i 0.5705 - 0.3847i -1.0901 + 0.4084i 0.0617 - 0.0823i 0.5150 + 0.0676i -0.0856 + 0.3413i 0.0598 + 0.0649i 0.4016 + 0.8181i
Columns 406 through 414
0.2285 - 0.2960i -0.0088 - 0.0231i 0.3331 + 0.3999i 0.5639 + 0.2141i -0.5222 - 0.8312i 0.2411 - 0.6897i -0.6778 + 0.3489i -0.2587 - 0.4401i -0.5925 - 0.0179i
0.2285 - 0.2960i -0.0088 - 0.0231i 0.3331 + 0.3999i 0.5639 + 0.2141i -0.5222 - 0.8312i 0.2411 - 0.6897i -0.6778 + 0.3489i -0.2587 - 0.4401i -0.5925 - 0.0179i
Columns 415 through 423
0.2771 - 0.0480i -0.5299 - 0.6169i 0.0307 + 1.0997i -0.0076 - 0.0603i 0.4128 - 0.4872i 0.0642 + 0.3405i -0.4448 - 0.3499i 0.1105 - 0.1470i 0.6612 + 0.1526i
0.2771 - 0.0480i -0.5299 - 0.6169i 0.0307 + 1.0997i -0.0076 - 0.0603i 0.4128 - 0.4872i 0.0642 + 0.3405i -0.4448 - 0.3499i 0.1105 - 0.1470i 0.6612 + 0.1526i
Columns 424 through 432
-0.0013 - 0.4604i -0.0165 - 0.6918i 0.0707 + 0.3200i -0.8616 - 0.7055i 0.1976 + 0.9382i 0.4366 - 0.0211i -0.3412 - 0.4200i -0.0302 + 0.8121i 0.7987 - 0.1253i
-0.0013 - 0.4604i -0.0165 - 0.6918i 0.0707 + 0.3200i -0.8616 - 0.7055i 0.1976 + 0.9382i 0.4366 - 0.0211i -0.3412 - 0.4200i -0.0302 + 0.8121i 0.7987 - 0.1253i
Columns 433 through 441
0.4176 - 1.0580i -0.2133 + 0.5202i -0.6301 + 0.1971i -0.2746 + 0.0092i -0.8225 - 1.6132i 0.4731 + 0.3101i 0.0557 - 0.6379i 0.0729 + 0.2483i 0.4007 + 0.5085i
0.4176 - 1.0580i -0.2133 + 0.5202i -0.6301 + 0.1971i -0.2746 + 0.0092i -0.8225 - 1.6132i 0.4731 + 0.3101i 0.0557 - 0.6379i 0.0729 + 0.2483i 0.4007 + 0.5085i
Columns 442 through 450
0.5227 - 0.3880i -0.5089 - 0.0918i -0.8964 - 0.1580i -0.5730 + 0.4880i -0.0779 + 1.2162i -0.0601 + 0.0114i 0.3803 - 0.0237i -0.1786 - 0.8621i -0.0872 - 0.2780i
0.5227 - 0.3880i -0.5089 - 0.0918i -0.8964 - 0.1580i -0.5730 + 0.4880i -0.0779 + 1.2162i -0.0601 + 0.0114i 0.3803 - 0.0237i -0.1786 - 0.8621i -0.0872 - 0.2780i
Columns 451 through 459
-0.7148 - 0.4674i 0.5964 + 0.9704i -0.1966 - 0.0301i -1.0269 - 0.7433i 0.7618 + 0.5374i -0.5781 + 0.8205i -0.2592 + 0.7290i -0.5622 + 1.1248i -0.2680 + 0.6503i
-0.7148 - 0.4674i 0.5964 + 0.9704i -0.1966 - 0.0301i -1.0269 - 0.7433i 0.7618 + 0.5374i -0.5781 + 0.8205i -0.2592 + 0.7290i -0.5622 + 1.1248i -0.2680 + 0.6503i
Columns 460 through 468
-0.2889 + 0.3183i -0.4255 + 0.2400i 0.2154 + 0.1555i -0.3777 - 0.2515i -0.0441 + 0.0392i -0.7223 - 0.1890i 0.6926 + 0.0783i -0.2478 + 0.0857i 0.1422 - 0.1833i
-0.2889 + 0.3183i -0.4255 + 0.2400i 0.2154 + 0.1555i -0.3777 - 0.2515i -0.0441 + 0.0392i -0.7223 - 0.1890i 0.6926 + 0.0783i -0.2478 + 0.0857i 0.1422 - 0.1833i
Columns 469 through 477
0.2416 + 0.0515i 1.0169 + 0.1295i 1.0489 + 0.4841i -0.8365 - 0.1325i 0.2840 - 0.5513i 1.0755 - 0.4618i -0.3808 + 0.0098i -0.5076 + 0.5333i 0.5255 + 0.2411i
0.2416 + 0.0515i 1.0169 + 0.1295i 1.0489 + 0.4841i -0.8365 - 0.1325i 0.2840 - 0.5513i 1.0755 - 0.4618i -0.3808 + 0.0098i -0.5076 + 0.5333i 0.5255 + 0.2411i
Columns 478 through 486
0.1897 + 0.1130i 0.3421 - 0.9451i -0.2041 + 1.2036i -0.5729 - 1.1277i -0.7104 + 0.4253i 0.2654 - 0.5241i -0.1888 + 0.4362i -0.3428 + 0.2137i -0.2981 + 0.3275i
0.1897 + 0.1130i 0.3421 - 0.9451i -0.2041 + 1.2036i -0.5729 - 1.1277i -0.7104 + 0.4253i 0.2654 - 0.5241i -0.1888 + 0.4362i -0.3428 + 0.2137i -0.2981 + 0.3275i
Columns 487 through 495
-0.0776 + 0.5729i 0.6057 + 0.1150i -0.4422 + 0.6297i -0.0702 + 0.7242i -0.5470 + 0.2848i 0.3538 - 1.2591i -0.1315 + 0.1749i -0.4450 + 0.5447i -0.5752 - 0.1459i
-0.0776 + 0.5729i 0.6057 + 0.1150i -0.4422 + 0.6297i -0.0702 + 0.7242i -0.5470 + 0.2848i 0.3538 - 1.2591i -0.1315 + 0.1749i -0.4450 + 0.5447i -0.5752 - 0.1459i
Columns 496 through 504
-0.3839 + 0.1689i -0.1236 + 0.8678i -0.7394 - 0.5310i -0.1639 + 0.7962i 0.6987 + 0.9008i -0.2557 - 0.2128i -0.4320 - 0.1214i 0.1380 - 1.2931i -1.3212 + 0.2792i
-0.3839 + 0.1689i -0.1236 + 0.8678i -0.7394 - 0.5310i -0.1639 + 0.7962i 0.6987 + 0.9008i -0.2557 - 0.2128i -0.4320 - 0.1214i 0.1380 - 1.2931i -1.3212 + 0.2792i
Columns 505 through 513
-0.9441 - 0.8719i 0.7073 + 0.4958i 0.2045 + 0.4061i 0.2172 + 0.6263i 1.3645 - 0.3251i -0.2766 - 0.2684i 0.6541 + 0.0132i -0.6244 - 0.1776i -0.7134 - 0.4718i
-0.9441 - 0.8719i 0.7073 + 0.4958i 0.2045 + 0.4061i 0.2172 + 0.6263i 1.3645 - 0.3251i -0.2766 - 0.2684i 0.6541 + 0.0132i -0.6244 - 0.1776i -0.7134 - 0.4718i
Columns 514 through 522
-1.2216 - 0.0867i 0.7818 - 0.4755i 0.8731 - 0.4057i 0.0396 + 0.2448i -0.2509 - 0.0582i -0.5394 + 0.6446i 0.0812 - 0.5601i -0.3014 + 0.7792i -0.4852 + 0.1125i
-1.2216 - 0.0867i 0.7818 - 0.4755i 0.8731 - 0.4057i 0.0396 + 0.2448i -0.2509 - 0.0582i -0.5394 + 0.6446i 0.0812 - 0.5601i -0.3014 + 0.7792i -0.4852 + 0.1125i
Columns 523 through 531
0.3994 + 0.4863i 0.2277 - 0.1744i -0.2075 + 0.4682i 0.2077 - 0.5861i 0.9681 + 0.1704i -0.6681 + 0.4179i -0.2725 - 0.2447i 0.0493 - 0.6032i -0.1050 + 0.3789i
0.3994 + 0.4863i 0.2277 - 0.1744i -0.2075 + 0.4682i 0.2077 - 0.5861i 0.9681 + 0.1704i -0.6681 + 0.4179i -0.2725 - 0.2447i 0.0493 - 0.6032i -0.1050 + 0.3789i
Columns 532 through 540
0.8510 + 0.7325i 0.2742 - 0.2518i 0.7622 + 0.5359i -0.3582 - 0.2574i 0.3839 + 0.5285i 0.0752 + 0.2587i -0.2249 - 0.0490i -0.6632 + 0.0249i -0.9090 - 0.4559i
0.8510 + 0.7325i 0.2742 - 0.2518i 0.7622 + 0.5359i -0.3582 - 0.2574i 0.3839 + 0.5285i 0.0752 + 0.2587i -0.2249 - 0.0490i -0.6632 + 0.0249i -0.9090 - 0.4559i
Columns 541 through 549
0.4131 - 0.2654i 0.0985 - 0.0517i 0.4646 + 0.0445i -0.7463 + 0.2641i 0.3029 + 0.0315i 0.5670 - 0.4886i 1.1811 + 0.4084i -0.7148 + 0.2514i 0.6176 - 0.0703i
0.4131 - 0.2654i 0.0985 - 0.0517i 0.4646 + 0.0445i -0.7463 + 0.2641i 0.3029 + 0.0315i 0.5670 - 0.4886i 1.1811 + 0.4084i -0.7148 + 0.2514i 0.6176 - 0.0703i
Columns 550 through 558
-0.6437 + 0.0020i 0.7578 + 0.7182i 0.1065 - 0.4782i 1.3646 + 0.5360i -1.3359 + 0.0752i 0.3529 + 0.1989i -0.0311 + 0.3017i -0.2076 - 0.4541i -1.0340 - 0.2398i
-0.6437 + 0.0020i 0.7578 + 0.7182i 0.1065 - 0.4782i 1.3646 + 0.5360i -1.3359 + 0.0752i 0.3529 + 0.1989i -0.0311 + 0.3017i -0.2076 - 0.4541i -1.0340 - 0.2398i
Columns 559 through 567
0.9310 - 0.9083i 0.4460 + 1.1631i -0.9760 + 0.0478i 0.3835 + 0.0372i 0.5133 + 0.3989i 0.1211 + 0.1843i -0.1470 + 0.2627i -0.5163 + 0.1541i -0.4452 + 1.1909i
0.9310 - 0.9083i 0.4460 + 1.1631i -0.9760 + 0.0478i 0.3835 + 0.0372i 0.5133 + 0.3989i 0.1211 + 0.1843i -0.1470 + 0.2627i -0.5163 + 0.1541i -0.4452 + 1.1909i
Columns 568 through 576
-0.1434 - 0.1157i -0.1022 + 0.0849i -0.1973 - 0.0075i 0.1869 - 0.7624i -0.9901 - 0.5272i -0.3333 + 0.3636i -0.4850 - 0.5383i -0.3475 + 0.1143i 0.1195 + 0.0018i
-0.1434 - 0.1157i -0.1022 + 0.0849i -0.1973 - 0.0075i 0.1869 - 0.7624i -0.9901 - 0.5272i -0.3333 + 0.3636i -0.4850 - 0.5383i -0.3475 + 0.1143i 0.1195 + 0.0018i
Columns 577 through 585
0.3408 + 0.8416i -0.0052 + 0.0728i -0.4226 - 0.5092i -0.5876 + 0.0852i -0.2151 + 0.3932i 0.5252 + 0.0374i -0.7678 - 0.5736i 0.1698 - 0.2305i 0.5118 + 0.4603i
0.3408 + 0.8416i -0.0052 + 0.0728i -0.4226 - 0.5092i -0.5876 + 0.0852i -0.2151 + 0.3932i 0.5252 + 0.0374i -0.7678 - 0.5736i 0.1698 - 0.2305i 0.5118 + 0.4603i
Columns 586 through 594
-1.0156 + 0.3259i 0.2416 + 0.6309i -0.3840 + 0.1449i 0.1201 + 0.5313i 0.4705 + 0.2951i 1.1308 + 0.7273i -0.6428 + 0.6129i -0.4879 + 0.7851i 0.4136 + 1.3827i
-1.0156 + 0.3259i 0.2416 + 0.6309i -0.3840 + 0.1449i 0.1201 + 0.5313i 0.4705 + 0.2951i 1.1308 + 0.7273i -0.6428 + 0.6129i -0.4879 + 0.7851i 0.4136 + 1.3827i
Columns 595 through 603
-0.3257 + 0.7250i -1.1771 + 1.2981i 0.5781 - 0.0284i 0.2163 - 0.0047i -0.6012 + 0.3381i -0.0290 - 0.5784i 1.1290 - 0.3916i -0.6103 + 0.6014i -0.4788 - 0.6067i
-0.3257 + 0.7250i -1.1771 + 1.2981i 0.5781 - 0.0284i 0.2163 - 0.0047i -0.6012 + 0.3381i -0.0290 - 0.5784i 1.1290 - 0.3916i -0.6103 + 0.6014i -0.4788 - 0.6067i
Columns 604 through 612
-0.7996 + 0.2364i 0.0616 - 0.1493i 0.1629 - 0.8930i -0.0638 - 0.3131i -0.2269 + 0.6467i 0.0715 + 0.4574i 0.3813 - 0.4610i -0.5028 + 0.3882i 0.2569 - 1.0884i
-0.7996 + 0.2364i 0.0616 - 0.1493i 0.1629 - 0.8930i -0.0638 - 0.3131i -0.2269 + 0.6467i 0.0715 + 0.4574i 0.3813 - 0.4610i -0.5028 + 0.3882i 0.2569 - 1.0884i
Columns 613 through 621
-0.8094 - 0.0812i -0.0766 + 0.3634i 0.2887 - 0.1332i 0.0113 - 0.8347i -0.1410 - 0.2325i 0.2518 + 0.1975i -0.0374 + 0.8958i -0.1060 - 0.3986i -0.0762 - 0.0070i
-0.8094 - 0.0812i -0.0766 + 0.3634i 0.2887 - 0.1332i 0.0113 - 0.8347i -0.1410 - 0.2325i 0.2518 + 0.1975i -0.0374 + 0.8958i -0.1060 - 0.3986i -0.0762 - 0.0070i
Columns 622 through 630
0.2682 + 0.2111i -0.0261 - 0.0870i -0.2827 + 0.2015i -0.3505 + 0.1844i 0.6152 - 0.4094i -0.3261 + 0.3803i 0.2878 + 0.3780i 0.1170 - 0.9819i -0.3535 - 0.3508i
0.2682 + 0.2111i -0.0261 - 0.0870i -0.2827 + 0.2015i -0.3505 + 0.1844i 0.6152 - 0.4094i -0.3261 + 0.3803i 0.2878 + 0.3780i 0.1170 - 0.9819i -0.3535 - 0.3508i
Columns 631 through 639
-0.6871 + 0.0263i -0.3915 + 0.0132i -0.4781 - 0.2143i 1.1930 + 0.0350i -0.2278 - 0.7677i 1.0079 + 0.3886i 0.9612 - 0.4148i 0.7225 - 0.4291i 0.3258 + 0.4405i
-0.6871 + 0.0263i -0.3915 + 0.0132i -0.4781 - 0.2143i 1.1930 + 0.0350i -0.2278 - 0.7677i 1.0079 + 0.3886i 0.9612 - 0.4148i 0.7225 - 0.4291i 0.3258 + 0.4405i
Columns 640 through 648
-0.0519 + 0.1161i -0.3458 - 0.3229i 0.9204 - 0.4523i -0.5303 - 0.4960i 0.3571 + 0.2991i 0.0138 + 0.2965i 0.2157 - 0.1288i -0.1750 + 0.2661i -0.0066 - 0.7339i
-0.0519 + 0.1161i -0.3458 - 0.3229i 0.9204 - 0.4523i -0.5303 - 0.4960i 0.3571 + 0.2991i 0.0138 + 0.2965i 0.2157 - 0.1288i -0.1750 + 0.2661i -0.0066 - 0.7339i
Columns 649 through 657
-0.9478 + 0.1748i 0.3661 + 0.6526i 0.6735 - 0.3289i -0.1854 + 0.4893i 0.0396 + 0.5575i 0.3868 + 0.1813i 0.1555 - 0.1588i -0.3026 - 0.2503i -0.2363 - 0.7013i
-0.9478 + 0.1748i 0.3661 + 0.6526i 0.6735 - 0.3289i -0.1854 + 0.4893i 0.0396 + 0.5575i 0.3868 + 0.1813i 0.1555 - 0.1588i -0.3026 - 0.2503i -0.2363 - 0.7013i
Columns 658 through 666
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-0.2125 + 0.8274i -0.4049 - 0.3555i -0.1906 - 0.2455i 1.0955 - 0.2512i -0.5690 + 1.0977i -0.3225 - 0.0127i -0.0705 - 0.6749i 0.6261 + 0.7277i -0.0258 - 0.3741i
Columns 667 through 675
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0.9873 + 0.3845i -0.6813 + 0.4497i 0.6341 - 0.3903i -0.0907 + 0.9534i -0.0188 + 0.1282i -0.0193 + 0.3880i 0.4606 - 0.1359i -0.6095 - 0.1133i 0.3443 - 0.1307i
Columns 676 through 684
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-0.6061 - 0.3057i -0.2309 + 0.2671i 0.8449 - 0.6444i 0.3921 + 0.5547i -0.2146 + 0.3709i -0.1390 + 0.0209i 0.1362 - 0.6283i 1.1096 + 0.2243i 0.9461 - 0.1015i
Columns 685 through 693
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0.4437 - 0.0731i -0.1663 + 0.5364i -0.0585 - 0.3314i -0.0119 + 0.1571i 0.4475 + 0.2323i -0.7235 + 0.0250i -0.8225 + 0.2728i 0.0152 - 0.1767i -0.2026 + 0.3105i
Columns 694 through 702
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Columns 703 through 711
0.1246 + 0.3025i 0.0159 + 0.3053i 0.4986 + 0.0490i -0.3639 + 0.2519i 0.3625 - 0.2395i -0.2585 - 0.0855i -0.1706 - 0.9260i -0.2386 + 0.5208i 0.3168 + 0.6737i
0.1246 + 0.3025i 0.0159 + 0.3053i 0.4986 + 0.0490i -0.3639 + 0.2519i 0.3625 - 0.2395i -0.2585 - 0.0855i -0.1706 - 0.9260i -0.2386 + 0.5208i 0.3168 + 0.6737i
Columns 712 through 720
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Columns 721 through 729
0.6475 - 0.2786i 0.8505 - 0.4124i -0.1093 + 0.0757i 0.2064 - 0.6775i 0.9567 + 0.4614i 0.0685 - 0.9741i -0.6918 - 0.1960i -0.2320 - 0.0896i -0.7812 + 0.1795i
0.6475 - 0.2786i 0.8505 - 0.4124i -0.1093 + 0.0757i 0.2064 - 0.6775i 0.9567 + 0.4614i 0.0685 - 0.9741i -0.6918 - 0.1960i -0.2320 - 0.0896i -0.7812 + 0.1795i
Columns 730 through 738
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-0.3002 - 0.3401i -0.5738 - 0.2829i 0.4088 + 0.4271i 0.0610 - 0.1932i 0.8609 - 0.0074i -0.1218 + 0.4971i 0.3840 - 0.1665i 0.8714 - 0.6298i -0.0368 - 0.5126i
Columns 739 through 747
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0.3821 + 0.4142i -0.3952 - 0.5210i -0.3742 - 0.0331i -0.2592 + 0.0979i 0.0959 + 0.1132i -0.0513 - 1.1606i 0.2363 - 0.3889i 0.5234 - 0.1233i -1.4727 + 0.0477i
Columns 748 through 756
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Columns 757 through 765
0.2363 + 0.3889i -0.0513 + 1.1606i 0.0959 - 0.1132i -0.2592 - 0.0979i -0.3742 + 0.0331i -0.3952 + 0.5210i 0.3821 - 0.4142i -0.0368 + 0.5126i 0.8714 + 0.6298i
0.2363 + 0.3889i -0.0513 + 1.1606i 0.0959 - 0.1132i -0.2592 - 0.0979i -0.3742 + 0.0331i -0.3952 + 0.5210i 0.3821 - 0.4142i -0.0368 + 0.5126i 0.8714 + 0.6298i
Columns 766 through 774
0.3840 + 0.1665i -0.1218 - 0.4971i 0.8609 + 0.0074i 0.0610 + 0.1932i 0.4088 - 0.4271i -0.5738 + 0.2829i -0.3002 + 0.3401i -0.7812 - 0.1795i -0.2320 + 0.0896i
0.3840 + 0.1665i -0.1218 - 0.4971i 0.8609 + 0.0074i 0.0610 + 0.1932i 0.4088 - 0.4271i -0.5738 + 0.2829i -0.3002 + 0.3401i -0.7812 - 0.1795i -0.2320 + 0.0896i
Columns 775 through 783
-0.6918 + 0.1960i 0.0685 + 0.9741i 0.9567 - 0.4614i 0.2064 + 0.6775i -0.1093 - 0.0757i 0.8505 + 0.4124i 0.6475 + 0.2786i -0.0696 + 0.1560i -0.0914 + 0.1125i
-0.6918 + 0.1960i 0.0685 + 0.9741i 0.9567 - 0.4614i 0.2064 + 0.6775i -0.1093 - 0.0757i 0.8505 + 0.4124i 0.6475 + 0.2786i -0.0696 + 0.1560i -0.0914 + 0.1125i
Columns 784 through 792
-0.4515 + 0.5961i -0.4178 + 0.7374i -0.4600 - 0.3065i -0.9692 - 0.2394i -0.4221 + 0.1926i 0.8381 + 0.2218i -0.3415 + 0.4072i 0.3168 - 0.6737i -0.2386 - 0.5208i
-0.4515 + 0.5961i -0.4178 + 0.7374i -0.4600 - 0.3065i -0.9692 - 0.2394i -0.4221 + 0.1926i 0.8381 + 0.2218i -0.3415 + 0.4072i 0.3168 - 0.6737i -0.2386 - 0.5208i
Columns 793 through 801
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-0.1706 + 0.9260i -0.2585 + 0.0855i 0.3625 + 0.2395i -0.3639 - 0.2519i 0.4986 - 0.0490i 0.0159 - 0.3053i 0.1246 - 0.3025i -0.1833 + 0.3285i -0.3539 - 1.1929i
Columns 802 through 810
0.0009 - 0.4866i -0.6487 - 0.7132i 0.0582 - 0.2751i 0.3752 - 0.3105i -0.5739 - 0.0102i 0.1733 - 1.5575i -0.0727 - 0.3042i -0.2026 - 0.3105i 0.0152 + 0.1767i
0.0009 - 0.4866i -0.6487 - 0.7132i 0.0582 - 0.2751i 0.3752 - 0.3105i -0.5739 - 0.0102i 0.1733 - 1.5575i -0.0727 - 0.3042i -0.2026 - 0.3105i 0.0152 + 0.1767i
Columns 811 through 819
-0.8225 - 0.2728i -0.7235 - 0.0250i 0.4475 - 0.2323i -0.0119 - 0.1571i -0.0585 + 0.3314i -0.1663 - 0.5364i 0.4437 + 0.0731i 0.9461 + 0.1015i 1.1096 - 0.2243i
-0.8225 - 0.2728i -0.7235 - 0.0250i 0.4475 - 0.2323i -0.0119 - 0.1571i -0.0585 + 0.3314i -0.1663 - 0.5364i 0.4437 + 0.0731i 0.9461 + 0.1015i 1.1096 - 0.2243i
Columns 820 through 828
0.1362 + 0.6283i -0.1390 - 0.0209i -0.2146 - 0.3709i 0.3921 - 0.5547i 0.8449 + 0.6444i -0.2309 - 0.2671i -0.6061 + 0.3057i 0.3443 + 0.1307i -0.6095 + 0.1133i
0.1362 + 0.6283i -0.1390 - 0.0209i -0.2146 - 0.3709i 0.3921 - 0.5547i 0.8449 + 0.6444i -0.2309 - 0.2671i -0.6061 + 0.3057i 0.3443 + 0.1307i -0.6095 + 0.1133i
Columns 829 through 837
0.4606 + 0.1359i -0.0193 - 0.3880i -0.0188 - 0.1282i -0.0907 - 0.9534i 0.6341 + 0.3903i -0.6813 - 0.4497i 0.9873 - 0.3845i -0.0258 + 0.3741i 0.6261 - 0.7277i
0.4606 + 0.1359i -0.0193 - 0.3880i -0.0188 - 0.1282i -0.0907 - 0.9534i 0.6341 + 0.3903i -0.6813 - 0.4497i 0.9873 - 0.3845i -0.0258 + 0.3741i 0.6261 - 0.7277i
Columns 838 through 846
-0.0705 + 0.6749i -0.3225 + 0.0127i -0.5690 - 1.0977i 1.0955 + 0.2512i -0.1906 + 0.2455i -0.4049 + 0.3555i -0.2125 - 0.8274i -0.2363 + 0.7013i -0.3026 + 0.2503i
-0.0705 + 0.6749i -0.3225 + 0.0127i -0.5690 - 1.0977i 1.0955 + 0.2512i -0.1906 + 0.2455i -0.4049 + 0.3555i -0.2125 - 0.8274i -0.2363 + 0.7013i -0.3026 + 0.2503i
Columns 847 through 855
0.1555 + 0.1588i 0.3868 - 0.1813i 0.0396 - 0.5575i -0.1854 - 0.4893i 0.6735 + 0.3289i 0.3661 - 0.6526i -0.9478 - 0.1748i -0.0066 + 0.7339i -0.1750 - 0.2661i
0.1555 + 0.1588i 0.3868 - 0.1813i 0.0396 - 0.5575i -0.1854 - 0.4893i 0.6735 + 0.3289i 0.3661 - 0.6526i -0.9478 - 0.1748i -0.0066 + 0.7339i -0.1750 - 0.2661i
Columns 856 through 864
0.2157 + 0.1288i 0.0138 - 0.2965i 0.3571 - 0.2991i -0.5303 + 0.4960i 0.9204 + 0.4523i -0.3458 + 0.3229i -0.0519 - 0.1161i 0.3258 - 0.4405i 0.7225 + 0.4291i
0.2157 + 0.1288i 0.0138 - 0.2965i 0.3571 - 0.2991i -0.5303 + 0.4960i 0.9204 + 0.4523i -0.3458 + 0.3229i -0.0519 - 0.1161i 0.3258 - 0.4405i 0.7225 + 0.4291i
Columns 865 through 873
0.9612 + 0.4148i 1.0079 - 0.3886i -0.2278 + 0.7677i 1.1930 - 0.0350i -0.4781 + 0.2143i -0.3915 - 0.0132i -0.6871 - 0.0263i -0.3535 + 0.3508i 0.1170 + 0.9819i
0.9612 + 0.4148i 1.0079 - 0.3886i -0.2278 + 0.7677i 1.1930 - 0.0350i -0.4781 + 0.2143i -0.3915 - 0.0132i -0.6871 - 0.0263i -0.3535 + 0.3508i 0.1170 + 0.9819i
Columns 874 through 882
0.2878 - 0.3780i -0.3261 - 0.3803i 0.6152 + 0.4094i -0.3505 - 0.1844i -0.2827 - 0.2015i -0.0261 + 0.0870i 0.2682 - 0.2111i -0.0762 + 0.0070i -0.1060 + 0.3986i
0.2878 - 0.3780i -0.3261 - 0.3803i 0.6152 + 0.4094i -0.3505 - 0.1844i -0.2827 - 0.2015i -0.0261 + 0.0870i 0.2682 - 0.2111i -0.0762 + 0.0070i -0.1060 + 0.3986i
Columns 883 through 891
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-0.0374 - 0.8958i 0.2518 - 0.1975i -0.1410 + 0.2325i 0.0113 + 0.8347i 0.2887 + 0.1332i -0.0766 - 0.3634i -0.8094 + 0.0812i 0.2569 + 1.0884i -0.5028 - 0.3882i
Columns 892 through 900
0.3813 + 0.4610i 0.0715 - 0.4574i -0.2269 - 0.6467i -0.0638 + 0.3131i 0.1629 + 0.8930i 0.0616 + 0.1493i -0.7996 - 0.2364i -0.4788 + 0.6067i -0.6103 - 0.6014i
0.3813 + 0.4610i 0.0715 - 0.4574i -0.2269 - 0.6467i -0.0638 + 0.3131i 0.1629 + 0.8930i 0.0616 + 0.1493i -0.7996 - 0.2364i -0.4788 + 0.6067i -0.6103 - 0.6014i
Columns 901 through 909
1.1290 + 0.3916i -0.0290 + 0.5784i -0.6012 - 0.3381i 0.2163 + 0.0047i 0.5781 + 0.0284i -1.1771 - 1.2981i -0.3257 - 0.7250i 0.4136 - 1.3827i -0.4879 - 0.7851i
1.1290 + 0.3916i -0.0290 + 0.5784i -0.6012 - 0.3381i 0.2163 + 0.0047i 0.5781 + 0.0284i -1.1771 - 1.2981i -0.3257 - 0.7250i 0.4136 - 1.3827i -0.4879 - 0.7851i
Columns 910 through 918
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-0.6428 - 0.6129i 1.1308 - 0.7273i 0.4705 - 0.2951i 0.1201 - 0.5313i -0.3840 - 0.1449i 0.2416 - 0.6309i -1.0156 - 0.3259i 0.5118 - 0.4603i 0.1698 + 0.2305i
Columns 919 through 927
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Columns 928 through 936
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-0.4850 + 0.5383i -0.3333 - 0.3636i -0.9901 + 0.5272i 0.1869 + 0.7624i -0.1973 + 0.0075i -0.1022 - 0.0849i -0.1434 + 0.1157i -0.4452 - 1.1909i -0.5163 - 0.1541i
Columns 937 through 945
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-0.1470 - 0.2627i 0.1211 - 0.1843i 0.5133 - 0.3989i 0.3835 - 0.0372i -0.9760 - 0.0478i 0.4460 - 1.1631i 0.9310 + 0.9083i -1.0340 + 0.2398i -0.2076 + 0.4541i
Columns 946 through 954
-0.0311 - 0.3017i 0.3529 - 0.1989i -1.3359 - 0.0752i 1.3646 - 0.5360i 0.1065 + 0.4782i 0.7578 - 0.7182i -0.6437 - 0.0020i 0.6176 + 0.0703i -0.7148 - 0.2514i
-0.0311 - 0.3017i 0.3529 - 0.1989i -1.3359 - 0.0752i 1.3646 - 0.5360i 0.1065 + 0.4782i 0.7578 - 0.7182i -0.6437 - 0.0020i 0.6176 + 0.0703i -0.7148 - 0.2514i
Columns 955 through 963
1.1811 - 0.4084i 0.5670 + 0.4886i 0.3029 - 0.0315i -0.7463 - 0.2641i 0.4646 - 0.0445i 0.0985 + 0.0517i 0.4131 + 0.2654i -0.9090 + 0.4559i -0.6632 - 0.0249i
1.1811 - 0.4084i 0.5670 + 0.4886i 0.3029 - 0.0315i -0.7463 - 0.2641i 0.4646 - 0.0445i 0.0985 + 0.0517i 0.4131 + 0.2654i -0.9090 + 0.4559i -0.6632 - 0.0249i
Columns 964 through 972
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Columns 973 through 981
-0.2725 + 0.2447i -0.6681 - 0.4179i 0.9681 - 0.1704i 0.2077 + 0.5861i -0.2075 - 0.4682i 0.2277 + 0.1744i 0.3994 - 0.4863i -0.4852 - 0.1125i -0.3014 - 0.7792i
-0.2725 + 0.2447i -0.6681 - 0.4179i 0.9681 - 0.1704i 0.2077 + 0.5861i -0.2075 - 0.4682i 0.2277 + 0.1744i 0.3994 - 0.4863i -0.4852 - 0.1125i -0.3014 - 0.7792i
Columns 982 through 990
0.0812 + 0.5601i -0.5394 - 0.6446i -0.2509 + 0.0582i 0.0396 - 0.2448i 0.8731 + 0.4057i 0.7818 + 0.4755i -1.2216 + 0.0867i -0.7134 + 0.4718i -0.6244 + 0.1776i
0.0812 + 0.5601i -0.5394 - 0.6446i -0.2509 + 0.0582i 0.0396 - 0.2448i 0.8731 + 0.4057i 0.7818 + 0.4755i -1.2216 + 0.0867i -0.7134 + 0.4718i -0.6244 + 0.1776i
Columns 991 through 999
0.6541 - 0.0132i -0.2766 + 0.2684i 1.3645 + 0.3251i 0.2172 - 0.6263i 0.2045 - 0.4061i 0.7073 - 0.4958i -0.9441 + 0.8719i -1.3212 - 0.2792i 0.1380 + 1.2931i
0.6541 - 0.0132i -0.2766 + 0.2684i 1.3645 + 0.3251i 0.2172 - 0.6263i 0.2045 - 0.4061i 0.7073 - 0.4958i -0.9441 + 0.8719i -1.3212 - 0.2792i 0.1380 + 1.2931i
Columns 1,000 through 1,008
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Columns 1,009 through 1,017
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-0.1315 - 0.1749i 0.3538 + 1.2591i -0.5470 - 0.2848i -0.0702 - 0.7242i -0.4422 - 0.6297i 0.6057 - 0.1150i -0.0776 - 0.5729i -0.2981 - 0.3275i -0.3428 - 0.2137i
Columns 1,018 through 1,026
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-0.1888 - 0.4362i 0.2654 + 0.5241i -0.7104 - 0.4253i -0.5729 + 1.1277i -0.2041 - 1.2036i 0.3421 + 0.9451i 0.1897 - 0.1130i 0.5255 - 0.2411i -0.5076 - 0.5333i
Columns 1,027 through 1,035
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Columns 1,036 through 1,044
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0.6926 - 0.0783i -0.7223 + 0.1890i -0.0441 - 0.0392i -0.3777 + 0.2515i 0.2154 - 0.1555i -0.4255 - 0.2400i -0.2889 - 0.3183i -0.2680 - 0.6503i -0.5622 - 1.1248i
Columns 1,045 through 1,053
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Columns 1,054 through 1,062
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0.3803 + 0.0237i -0.0601 - 0.0114i -0.0779 - 1.2162i -0.5730 - 0.4880i -0.8964 + 0.1580i -0.5089 + 0.0918i 0.5227 + 0.3880i 0.4007 - 0.5085i 0.0729 - 0.2483i
Columns 1,063 through 1,071
0.0557 + 0.6379i 0.4731 - 0.3101i -0.8225 + 1.6132i -0.2746 - 0.0092i -0.6301 - 0.1971i -0.2133 - 0.5202i 0.4176 + 1.0580i 0.7987 + 0.1253i -0.0302 - 0.8121i
0.0557 + 0.6379i 0.4731 - 0.3101i -0.8225 + 1.6132i -0.2746 - 0.0092i -0.6301 - 0.1971i -0.2133 - 0.5202i 0.4176 + 1.0580i 0.7987 + 0.1253i -0.0302 - 0.8121i
Columns 1,072 through 1,080
-0.3412 + 0.4200i 0.4366 + 0.0211i 0.1976 - 0.9382i -0.8616 + 0.7055i 0.0707 - 0.3200i -0.0165 + 0.6918i -0.0013 + 0.4604i 0.6612 - 0.1526i 0.1105 + 0.1470i
-0.3412 + 0.4200i 0.4366 + 0.0211i 0.1976 - 0.9382i -0.8616 + 0.7055i 0.0707 - 0.3200i -0.0165 + 0.6918i -0.0013 + 0.4604i 0.6612 - 0.1526i 0.1105 + 0.1470i
Columns 1,081 through 1,089
-0.4448 + 0.3499i 0.0642 - 0.3405i 0.4128 + 0.4872i -0.0076 + 0.0603i 0.0307 - 1.0997i -0.5299 + 0.6169i 0.2771 + 0.0480i -0.5925 + 0.0179i -0.2587 + 0.4401i
-0.4448 + 0.3499i 0.0642 - 0.3405i 0.4128 + 0.4872i -0.0076 + 0.0603i 0.0307 - 1.0997i -0.5299 + 0.6169i 0.2771 + 0.0480i -0.5925 + 0.0179i -0.2587 + 0.4401i
Columns 1,090 through 1,098
-0.6778 - 0.3489i 0.2411 + 0.6897i -0.5222 + 0.8312i 0.5639 - 0.2141i 0.3331 - 0.3999i -0.0088 + 0.0231i 0.2285 + 0.2960i 0.4016 - 0.8181i 0.0598 - 0.0649i
-0.6778 - 0.3489i 0.2411 + 0.6897i -0.5222 + 0.8312i 0.5639 - 0.2141i 0.3331 - 0.3999i -0.0088 + 0.0231i 0.2285 + 0.2960i 0.4016 - 0.8181i 0.0598 - 0.0649i
Columns 1,099 through 1,107
-0.0856 - 0.3413i 0.5150 - 0.0676i 0.0617 + 0.0823i -1.0901 - 0.4084i 0.5705 + 0.3847i -0.6825 + 0.4276i -0.7112 - 0.0208i -0.3317 - 0.7125i -0.3558 + 0.0524i
-0.0856 - 0.3413i 0.5150 - 0.0676i 0.0617 + 0.0823i -1.0901 - 0.4084i 0.5705 + 0.3847i -0.6825 + 0.4276i -0.7112 - 0.0208i -0.3317 - 0.7125i -0.3558 + 0.0524i
Columns 1,108 through 1,116
-0.3691 + 0.6722i 0.0975 - 0.7843i -0.6481 + 0.4986i 0.1922 - 0.2801i -0.8608 - 0.0569i -0.4335 - 0.1334i -0.7583 + 0.2662i -0.6161 - 0.3904i -0.4141 - 1.0446i
-0.3691 + 0.6722i 0.0975 - 0.7843i -0.6481 + 0.4986i 0.1922 - 0.2801i -0.8608 - 0.0569i -0.4335 - 0.1334i -0.7583 + 0.2662i -0.6161 - 0.3904i -0.4141 - 1.0446i
Columns 1,117 through 1,125
-0.7639 - 0.2843i 0.0021 + 0.3283i -0.4474 - 1.0009i 0.8585 + 0.3655i 0.0757 - 0.3563i 0.1663 + 0.8324i 0.6477 - 0.7168i -0.4943 - 0.2324i 1.4013 - 0.5624i
-0.7639 - 0.2843i 0.0021 + 0.3283i -0.4474 - 1.0009i 0.8585 + 0.3655i 0.0757 - 0.3563i 0.1663 + 0.8324i 0.6477 - 0.7168i -0.4943 - 0.2324i 1.4013 - 0.5624i
Columns 1,126 through 1,134
-0.8000 + 0.1511i 0.0955 - 1.5444i 0.8706 + 0.1424i 0.3895 - 1.0220i -0.7244 + 0.6242i -0.8437 + 1.2069i -0.2054 + 0.7041i 0.0274 - 0.0711i -0.7025 - 0.1871i
-0.8000 + 0.1511i 0.0955 - 1.5444i 0.8706 + 0.1424i 0.3895 - 1.0220i -0.7244 + 0.6242i -0.8437 + 1.2069i -0.2054 + 0.7041i 0.0274 - 0.0711i -0.7025 - 0.1871i
Columns 1,135 through 1,143
0.4706 + 0.4107i 0.6555 - 0.3976i 0.0100 - 0.9151i 0.2839 - 0.5934i -0.4826 - 0.2876i 0.5456 - 0.4047i -0.2145 - 0.9039i -0.9102 + 1.0721i -0.6857 + 0.6095i
0.4706 + 0.4107i 0.6555 - 0.3976i 0.0100 - 0.9151i 0.2839 - 0.5934i -0.4826 - 0.2876i 0.5456 - 0.4047i -0.2145 - 0.9039i -0.9102 + 1.0721i -0.6857 + 0.6095i
Columns 1,144 through 1,152
-0.6528 - 0.0574i -0.6970 - 0.4924i 0.1152 + 0.0719i 1.4531 + 0.6376i -0.0473 + 0.5159i -0.5271 - 0.3819i 0.4551 - 0.8099i 0.0287 - 0.5391i -0.6493 - 1.2302i
-0.6528 - 0.0574i -0.6970 - 0.4924i 0.1152 + 0.0719i 1.4531 + 0.6376i -0.0473 + 0.5159i -0.5271 - 0.3819i 0.4551 - 0.8099i 0.0287 - 0.5391i -0.6493 - 1.2302i
Columns 1,153 through 1,161
0.1367 - 0.7856i 0.4784 - 0.7063i -0.0364 + 0.2613i -0.1946 - 0.1702i 0.2718 + 1.2150i -0.0128 - 0.2321i 0.7213 + 0.2714i 0.9462 + 0.3743i 0.1200 + 0.5006i
0.1367 - 0.7856i 0.4784 - 0.7063i -0.0364 + 0.2613i -0.1946 - 0.1702i 0.2718 + 1.2150i -0.0128 - 0.2321i 0.7213 + 0.2714i 0.9462 + 0.3743i 0.1200 + 0.5006i
Columns 1,162 through 1,170
-1.0445 + 0.3479i 0.8078 + 0.3388i -0.3138 + 0.4542i 0.4931 + 0.1128i 0.0203 - 0.1877i 0.4074 - 0.0847i 0.0823 + 0.6173i -0.1881 + 0.3456i 0.5100 - 0.3542i
-1.0445 + 0.3479i 0.8078 + 0.3388i -0.3138 + 0.4542i 0.4931 + 0.1128i 0.0203 - 0.1877i 0.4074 - 0.0847i 0.0823 + 0.6173i -0.1881 + 0.3456i 0.5100 - 0.3542i
Columns 1,171 through 1,179
0.4719 + 0.2816i -0.9930 - 1.0189i -0.3592 + 0.1244i -1.2261 + 0.8937i 0.0016 + 0.6222i 0.7655 - 1.0532i 0.0890 + 0.7304i -0.6203 + 0.7937i -0.4758 + 0.8751i
0.4719 + 0.2816i -0.9930 - 1.0189i -0.3592 + 0.1244i -1.2261 + 0.8937i 0.0016 + 0.6222i 0.7655 - 1.0532i 0.0890 + 0.7304i -0.6203 + 0.7937i -0.4758 + 0.8751i
Columns 1,180 through 1,188
0.3905 + 0.0699i 0.4357 - 0.9363i -0.2746 + 0.5635i 0.6692 - 0.0766i -0.1281 + 0.1141i 1.1452 + 0.8547i -0.2870 - 0.8028i 0.4994 + 0.1109i -0.1174 + 0.2127i
0.3905 + 0.0699i 0.4357 - 0.9363i -0.2746 + 0.5635i 0.6692 - 0.0766i -0.1281 + 0.1141i 1.1452 + 0.8547i -0.2870 - 0.8028i 0.4994 + 0.1109i -0.1174 + 0.2127i
Columns 1,189 through 1,197
0.1164 - 0.2944i -0.3894 + 0.0854i -0.7267 - 0.8697i 0.4125 + 0.3048i 0.1069 - 0.1821i -1.1520 - 0.5462i -0.2177 - 1.3837i 0.8278 + 0.5580i -0.3165 + 0.6060i
0.1164 - 0.2944i -0.3894 + 0.0854i -0.7267 - 0.8697i 0.4125 + 0.3048i 0.1069 - 0.1821i -1.1520 - 0.5462i -0.2177 - 1.3837i 0.8278 + 0.5580i -0.3165 + 0.6060i
Columns 1,198 through 1,206
0.4830 + 0.5057i -0.1394 + 0.7264i -0.0139 + 1.1499i 0.3037 + 0.7557i -0.8753 + 0.9326i -0.2617 + 0.5269i 0.2050 - 0.5125i -0.7991 - 0.1345i -0.1956 - 0.1846i
0.4830 + 0.5057i -0.1394 + 0.7264i -0.0139 + 1.1499i 0.3037 + 0.7557i -0.8753 + 0.9326i -0.2617 + 0.5269i 0.2050 - 0.5125i -0.7991 - 0.1345i -0.1956 - 0.1846i
Columns 1,207 through 1,215
0.0933 - 0.0916i -0.1601 - 0.3006i -0.5160 - 0.0430i -0.4719 + 0.1788i -0.5023 - 0.0290i -0.5697 + 0.1176i 0.2143 + 1.6187i -0.3541 - 0.3956i -0.4111 - 0.1534i
0.0933 - 0.0916i -0.1601 - 0.3006i -0.5160 - 0.0430i -0.4719 + 0.1788i -0.5023 - 0.0290i -0.5697 + 0.1176i 0.2143 + 1.6187i -0.3541 - 0.3956i -0.4111 - 0.1534i
Columns 1,216 through 1,224
0.9427 + 0.2290i 0.0339 + 0.4610i -0.1434 + 0.0745i -0.1529 + 0.1524i 0.4566 - 0.1158i -0.3265 + 0.0701i -0.4719 - 0.3285i -0.7359 + 0.6149i -0.3115 + 0.3772i
0.9427 + 0.2290i 0.0339 + 0.4610i -0.1434 + 0.0745i -0.1529 + 0.1524i 0.4566 - 0.1158i -0.3265 + 0.0701i -0.4719 - 0.3285i -0.7359 + 0.6149i -0.3115 + 0.3772i
Columns 1,225 through 1,233
-0.7034 + 1.1767i 0.4790 - 0.1400i -0.4273 - 0.0288i -0.0749 + 0.3175i -0.4918 + 0.1792i 0.2075 + 0.4511i 0.3983 - 0.5766i -0.2127 + 0.2738i -0.2415 - 0.2783i
-0.7034 + 1.1767i 0.4790 - 0.1400i -0.4273 - 0.0288i -0.0749 + 0.3175i -0.4918 + 0.1792i 0.2075 + 0.4511i 0.3983 - 0.5766i -0.2127 + 0.2738i -0.2415 - 0.2783i
Columns 1,234 through 1,242
-0.4071 + 0.1296i 0.5572 - 0.7762i -0.0205 - 0.4709i -0.0402 - 0.1522i 0.3961 + 0.4284i -0.1560 + 0.7638i -0.8649 + 0.2182i -0.5288 - 0.6553i -0.2978 - 0.2519i
-0.4071 + 0.1296i 0.5572 - 0.7762i -0.0205 - 0.4709i -0.0402 - 0.1522i 0.3961 + 0.4284i -0.1560 + 0.7638i -0.8649 + 0.2182i -0.5288 - 0.6553i -0.2978 - 0.2519i
Columns 1,243 through 1,251
0.9741 + 0.4876i 0.7301 + 0.9061i 1.1799 + 0.3571i 1.7876 + 0.3532i -0.3612 - 0.2098i 0.5628 - 0.6835i -0.9435 + 0.3907i -0.1532 - 0.7543i 0.8619 - 0.1361i
0.9741 + 0.4876i 0.7301 + 0.9061i 1.1799 + 0.3571i 1.7876 + 0.3532i -0.3612 - 0.2098i 0.5628 - 0.6835i -0.9435 + 0.3907i -0.1532 - 0.7543i 0.8619 - 0.1361i
Columns 1,252 through 1,260
0.0363 + 0.4289i -0.5772 - 1.0660i 0.8757 + 0.0262i 0.7918 - 0.2849i -0.5080 + 0.4167i 0.0789 - 1.1149i 0.7069 - 0.4829i 0.0880 + 0.1137i 0.2546 + 0.1646i
0.0363 + 0.4289i -0.5772 - 1.0660i 0.8757 + 0.0262i 0.7918 - 0.2849i -0.5080 + 0.4167i 0.0789 - 1.1149i 0.7069 - 0.4829i 0.0880 + 0.1137i 0.2546 + 0.1646i
Columns 1,261 through 1,269
-0.8260 - 0.9899i -0.1696 - 0.9134i -0.0431 - 0.1637i -1.2736 - 0.6638i 0.3503 + 0.3557i -0.5685 - 0.8472i 0.4747 + 0.2068i -0.1148 - 0.5457i -1.0055 + 0.8167i
-0.8260 - 0.9899i -0.1696 - 0.9134i -0.0431 - 0.1637i -1.2736 - 0.6638i 0.3503 + 0.3557i -0.5685 - 0.8472i 0.4747 + 0.2068i -0.1148 - 0.5457i -1.0055 + 0.8167i
Columns 1,270 through 1,278
-0.7018 + 0.3729i 0.7631 - 0.1957i -0.7207 + 0.0128i -0.7173 - 0.3920i -1.1941 - 0.5176i -0.1238 + 0.2206i 0.2852 - 0.0469i 0.5139 + 0.9623i 0.5703 - 0.0951i
-0.7018 + 0.3729i 0.7631 - 0.1957i -0.7207 + 0.0128i -0.7173 - 0.3920i -1.1941 - 0.5176i -0.1238 + 0.2206i 0.2852 - 0.0469i 0.5139 + 0.9623i 0.5703 - 0.0951i
Columns 1,279 through 1,287
-0.2240 - 1.1389i 0.5035 + 0.3027i -0.5514 - 0.6977i 0.7437 + 0.1794i 0.7289 - 0.5857i -0.7604 + 0.5047i -1.0355 + 0.3260i -0.0542 + 0.7347i 0.7659 - 0.0776i
-0.2240 - 1.1389i 0.5035 + 0.3027i -0.5514 - 0.6977i 0.7437 + 0.1794i 0.7289 - 0.5857i -0.7604 + 0.5047i -1.0355 + 0.3260i -0.0542 + 0.7347i 0.7659 - 0.0776i
Columns 1,288 through 1,296
0.2642 + 0.3165i -0.2450 + 0.2149i 0.0267 + 0.6131i 0.5738 - 0.1032i -0.2614 + 0.7167i -0.3692 + 0.2421i 0.3383 - 0.7181i -0.1162 + 0.2140i -0.2020 - 0.0353i
0.2642 + 0.3165i -0.2450 + 0.2149i 0.0267 + 0.6131i 0.5738 - 0.1032i -0.2614 + 0.7167i -0.3692 + 0.2421i 0.3383 - 0.7181i -0.1162 + 0.2140i -0.2020 - 0.0353i
Columns 1,297 through 1,305
-0.7946 + 0.7938i 0.2673 - 0.2757i 0.4999 + 0.2880i 0.1149 - 0.6497i 0.5528 - 0.2621i -0.6070 + 0.5261i 0.0325 + 0.3917i -0.2886 + 0.6429i -0.3304 - 0.2679i
-0.7946 + 0.7938i 0.2673 - 0.2757i 0.4999 + 0.2880i 0.1149 - 0.6497i 0.5528 - 0.2621i -0.6070 + 0.5261i 0.0325 + 0.3917i -0.2886 + 0.6429i -0.3304 - 0.2679i
Columns 1,306 through 1,314
0.5936 - 0.0054i 0.3551 + 0.2029i -1.0817 - 0.6393i 0.0817 - 0.3077i -0.3947 - 0.5681i 0.2267 + 0.2742i 0.3339 + 0.1278i 0.5812 - 0.0800i -0.2858 + 1.1116i
0.5936 - 0.0054i 0.3551 + 0.2029i -1.0817 - 0.6393i 0.0817 - 0.3077i -0.3947 - 0.5681i 0.2267 + 0.2742i 0.3339 + 0.1278i 0.5812 - 0.0800i -0.2858 + 1.1116i
Columns 1,315 through 1,323
1.1586 + 0.6749i 0.4215 - 0.4795i 0.3415 + 0.2017i -0.4279 - 0.4167i 0.2372 + 0.2108i -0.7628 - 1.0036i -0.6500 + 8.2004i -0.1661 + 0.4108i 0.4336 - 0.5456i
1.1586 + 0.6749i 0.4215 - 0.4795i 0.3415 + 0.2017i -0.4279 - 0.4167i 0.2372 + 0.2108i -0.7628 - 1.0036i -0.6500 + 8.2004i -0.1661 + 0.4108i 0.4336 - 0.5456i
Columns 1,324 through 1,332
-0.0044 - 0.0164i 0.4452 + 0.1542i 0.2559 - 0.1707i -0.2408 - 1.0441i -0.3975 + 0.1010i -0.2666 + 0.0575i 0.3008 - 0.1699i 0.4746 - 0.7109i -0.2644 + 0.8495i
-0.0044 - 0.0164i 0.4452 + 0.1542i 0.2559 - 0.1707i -0.2408 - 1.0441i -0.3975 + 0.1010i -0.2666 + 0.0575i 0.3008 - 0.1699i 0.4746 - 0.7109i -0.2644 + 0.8495i
Columns 1,333 through 1,341
0.9579 - 0.1152i 0.7301 - 0.0446i -0.2399 + 0.7713i 0.5456 - 0.1951i -0.0470 + 1.1353i -0.3491 - 1.0137i -0.4921 + 0.3886i 0.9948 - 0.6923i 0.0010 - 0.7462i
0.9579 - 0.1152i 0.7301 - 0.0446i -0.2399 + 0.7713i 0.5456 - 0.1951i -0.0470 + 1.1353i -0.3491 - 1.0137i -0.4921 + 0.3886i 0.9948 - 0.6923i 0.0010 - 0.7462i
Columns 1,342 through 1,350
0.0690 - 0.1772i 0.1260 - 0.1731i -0.6455 + 0.1014i -0.1597 - 0.6976i 0.6739 + 0.0151i 0.3461 - 0.5462i 0.0152 - 0.9018i 0.7568 - 0.3328i 0.4825 - 0.7799i
0.0690 - 0.1772i 0.1260 - 0.1731i -0.6455 + 0.1014i -0.1597 - 0.6976i 0.6739 + 0.0151i 0.3461 - 0.5462i 0.0152 - 0.9018i 0.7568 - 0.3328i 0.4825 - 0.7799i
Columns 1,351 through 1,359
0.3015 - 0.0115i 0.5837 + 0.1399i -0.4114 + 0.5704i -0.2124 + 0.0304i 0.5552 + 0.0869i -0.3131 - 0.7414i -0.5292 + 0.3840i 0.3762 + 0.8680i -0.8393 + 0.3414i
0.3015 - 0.0115i 0.5837 + 0.1399i -0.4114 + 0.5704i -0.2124 + 0.0304i 0.5552 + 0.0869i -0.3131 - 0.7414i -0.5292 + 0.3840i 0.3762 + 0.8680i -0.8393 + 0.3414i
Columns 1,360 through 1,368
-0.2675 - 0.0827i -0.0523 + 0.9016i 0.3437 + 0.5529i 0.2982 - 0.5171i -0.4262 + 0.4046i 0.1225 - 0.3840i -0.1150 - 0.4904i 0.7401 + 0.8717i 0.5028 + 0.2895i
-0.2675 - 0.0827i -0.0523 + 0.9016i 0.3437 + 0.5529i 0.2982 - 0.5171i -0.4262 + 0.4046i 0.1225 - 0.3840i -0.1150 - 0.4904i 0.7401 + 0.8717i 0.5028 + 0.2895i
Columns 1,369 through 1,377
0.6192 + 0.4147i 0.2802 + 0.0788i 0.1394 + 1.0061i 0.3709 + 0.1030i -1.0955 + 0.5859i 0.0176 - 0.8373i -0.6007 + 0.4403i 0.8721 + 0.0891i -0.0903 + 0.1492i
0.6192 + 0.4147i 0.2802 + 0.0788i 0.1394 + 1.0061i 0.3709 + 0.1030i -1.0955 + 0.5859i 0.0176 - 0.8373i -0.6007 + 0.4403i 0.8721 + 0.0891i -0.0903 + 0.1492i
Columns 1,378 through 1,386
-0.3881 + 0.3684i 1.2645 - 0.0069i -0.0694 - 0.4570i -0.4247 - 0.1653i -0.1133 - 0.5948i 0.3573 - 0.1634i -0.4048 + 0.2312i -0.5216 - 0.0401i -0.3413 + 0.0441i
-0.3881 + 0.3684i 1.2645 - 0.0069i -0.0694 - 0.4570i -0.4247 - 0.1653i -0.1133 - 0.5948i 0.3573 - 0.1634i -0.4048 + 0.2312i -0.5216 - 0.0401i -0.3413 + 0.0441i
Columns 1,387 through 1,395
0.1189 + 0.0140i -0.2460 + 0.0912i 0.4782 + 0.5115i -0.5240 + 0.1372i 0.1724 + 0.1895i -1.1329 + 0.6168i 0.2321 - 0.1331i 0.3785 + 0.0404i -1.4226 + 0.5561i
0.1189 + 0.0140i -0.2460 + 0.0912i 0.4782 + 0.5115i -0.5240 + 0.1372i 0.1724 + 0.1895i -1.1329 + 0.6168i 0.2321 - 0.1331i 0.3785 + 0.0404i -1.4226 + 0.5561i
Columns 1,396 through 1,404
-0.7267 + 0.0082i -0.2563 - 1.0383i -0.6191 - 0.5376i -0.2407 - 0.7200i -0.0717 - 0.2884i 0.0056 + 0.3621i 1.0403 + 0.3113i -0.2526 + 0.3082i 0.4884 + 0.7478i
-0.7267 + 0.0082i -0.2563 - 1.0383i -0.6191 - 0.5376i -0.2407 - 0.7200i -0.0717 - 0.2884i 0.0056 + 0.3621i 1.0403 + 0.3113i -0.2526 + 0.3082i 0.4884 + 0.7478i
Columns 1,405 through 1,413
-0.0937 - 0.7034i 0.0930 - 0.0471i 0.1413 + 0.0593i -0.2965 + 0.2791i -1.0381 - 0.3321i -0.8230 - 0.5935i 0.3908 + 0.0085i -0.2350 + 0.6952i -0.4365 - 1.3117i
-0.0937 - 0.7034i 0.0930 - 0.0471i 0.1413 + 0.0593i -0.2965 + 0.2791i -1.0381 - 0.3321i -0.8230 - 0.5935i 0.3908 + 0.0085i -0.2350 + 0.6952i -0.4365 - 1.3117i
Columns 1,414 through 1,422
0.2828 - 0.5478i 0.0616 - 1.0753i 0.8034 - 1.2062i -1.4325 + 0.2173i -0.3844 + 0.0006i 0.5448 - 0.2742i -0.3172 + 1.0701i 0.7014 + 0.1698i -0.3245 - 0.8793i
0.2828 - 0.5478i 0.0616 - 1.0753i 0.8034 - 1.2062i -1.4325 + 0.2173i -0.3844 + 0.0006i 0.5448 - 0.2742i -0.3172 + 1.0701i 0.7014 + 0.1698i -0.3245 - 0.8793i
Columns 1,423 through 1,431
0.0720 + 0.2640i -0.1614 - 0.5115i 0.6240 + 0.3417i 0.0116 + 4.8502i -0.0380 + 0.0127i 0.0521 + 0.5187i -0.6484 + 0.6162i -0.0356 + 0.7771i 0.4557 - 1.0042i
0.0720 + 0.2640i -0.1614 - 0.5115i 0.6240 + 0.3417i 0.0116 + 4.8502i -0.0380 + 0.0127i 0.0521 + 0.5187i -0.6484 + 0.6162i -0.0356 + 0.7771i 0.4557 - 1.0042i
Columns 1,432 through 1,440
-0.4228 + 0.7471i 0.5036 + 0.1983i 0.4145 + 0.6600i -0.0179 + 0.1750i 1.1594 - 0.4242i -0.0349 - 0.0508i -1.0494 - 0.0730i -1.0926 - 0.3091i 0.0081 - 0.4450i
-0.4228 + 0.7471i 0.5036 + 0.1983i 0.4145 + 0.6600i -0.0179 + 0.1750i 1.1594 - 0.4242i -0.0349 - 0.0508i -1.0494 - 0.0730i -1.0926 - 0.3091i 0.0081 - 0.4450i
Columns 1,441 through 1,449
-0.7902 + 0.1437i 0.7329 - 0.0296i 1.2963 + 1.0287i 0.0947 + 0.4745i -0.3772 + 0.5141i -0.4229 + 0.1297i -0.7116 + 0.3801i 0.5920 - 0.7406i -0.2531 + 0.3224i
Check = mean(Y - Y2) % Equal Within Floating-Point Approximation Error
Check = 1.3940e-15 - 2.2341e-17i
.