x y y_inv frequency y_fft(real) y_fft(imaginary) 0.01 1.06552 1.09895 0 1209.77 0 0.02 1.14415 1.05181 0.1 -122.029 45.6571 0.03 0.987044 0.992346 0.2 -8.48957 -132.046 0.04 0.821777 0.942182 0.3 71.4735 135.91 0.05 0.928005 0.921902 0.4 -126.788 -24.3732 0.06 1.0383 0.939452 0.5 157.495 -65.0673 0.07 1.07108 0.984835 0.6 -76.6346 96.0171 0.08 0.882377 1.03491 0.7 -35.7841 -103.442 0.09 0.9711 1.06597 0.8 108.542 61.5787 0.1 1.2196 1.06665 0.9 -140.389 20.8492 0.11 1.08685 1.04315 1 99.2857 -49.3849 0.12 0.953181 1.01358 1.1 8.02875 72.7376 0.13 0.940764 0.995345 1.2 -61.8718 -92.9713 0.14 1.0536 0.993914 1.3 58.1697 24.5423 0.15 1.01471 1.00057 1.4 -88.9625 63.0594 0.16 0.883738 1.00026 1.5 90.2306 -41.274 0.17 1.08455 0.9839 1.6 10.4531 15.024 0.18 1.02097 0.956154 1.7 -74.0289 -52.9801 0.19 0.867197 0.933107 1.8 45.5778 44.4482 0.2 0.869657 0.931116 1.9 -36.9458 20.6698 0.21 0.992571 0.954539 2 60.6593 -39.2068 0.22 0.962967 0.990966 2.1 -17.2551 26.1353 0.23 1.0871 1.01758 2.2 -24.5021 -39.3253 0.24 1.06197 1.0149 2.3 44.5297 34.7584 0.25 0.864582 0.979128 2.4 -67.1543 -7.23955 0.26 0.956025 0.925377 2.5 60.1043 -4.96883 0.27 0.817122 0.87978 2.6 -1.9073 43.9845 0.28 0.974992 0.865408 2.7 -25.0571 -86.6453 0.29 0.918666 0.890373 2.8 29.3511 42.2218 0.3 0.826065 0.944592 2.9 -71.8951 29.1902 0.31 0.995213 1.00618 3 85.3401 -27.9612 0.32 1.20508 1.05298 3.1 3.97236 32.9216 0.33 0.99768 1.07254 3.2 -56.7948 -75.2158 0.34 0.96066 1.0656 3.3 44.3619 44.5625 0.35 1.16376 1.0426 3.4 -46.9777 35.3682 0.36 0.987559 1.01617 3.5 46.166 -57.4428 0.37 0.968674 0.994454 3.6 7.49964 48.187 0.38 1.06956 0.978719 3.7 -47.4571 -42.8511 0.39 0.862067 0.965782 3.8 45.6996 11.7993 0.4 0.972853 0.953192 3.9 -47.7686 30.9557 0.41 0.955291 0.943405 4 18.8064 -26.6861 0.42 0.941224 0.943863 4.1 31.5663 29.8797 0.43 0.993009 0.962292 4.2 -28.5781 -41.5961 0.44 0.946013 0.999747 4.3 4.11522 4.08244 0.45 1.0804 1.04606 4.4 -27.2733 37.0395 0.46 1.17241 1.0819 4.5 32.2826 -12.9901 0.47 0.913603 1.0879 4.6 9.25105 2.1802 0.48 1.0661 1.0566 4.7 -24.7553 -36.2195 0.49 1.11003 0.999689 4.8 5.79909 26.9099 0.5 0.918228 0.944498 4.9 -22.7108 14.6828 0.51 0.943062 0.920017 5 46.0038 -14.8998 0.52 0.94165 0.939761 5.1 -19.7491 21.203 0.53 0.864585 0.992345 5.2 -8.49029 -51.1772 0.54 1.11642 1.0469 5.3 22.2055 39.7433 0.55 1.07604 1.07126 5.4 -59.7709 3.85863 0.56 1.1112 1.05191 5.5 59 -19.374 0.57 1.00362 1.00257 5.6 -4.22794 50.519 0.58 0.869304 0.955101 5.7 -27.4133 -67.6868 0.59 1.01525 0.93843 5.8 41.9219 27.7733 0.6 0.877872 0.959525 5.9 -65.4631 33.8556 0.61 0.95941 0.999751 6 52.3997 -48.7793 0.62 1.15372 1.02915 6.1 17.6176 50.5911 0.63 1.0576 1.02851 6.2 -64.7101 -56.0368 0.64 1.00447 1.00315 6.3 52.9791 3.24587 0.65 0.837969 0.978449 6.4 -36.7445 63.7899 0.66 0.948124 0.980075 6.5 15.0155 -59.957 0.67 1.1186 1.01382 6.6 47.2573 36.3913 0.68 1.15264 1.06013 6.7 -67.6429 -15.6123 0.69 0.996277 1.08778 6.8 34.7188 -33.1743 0.7 1.0865 1.07677 6.9 -11.6598 57.4616 0.71 0.920901 1.03325 7 -15.4274 -34.5043 0.72 1.13916 0.985131 7.1 54.455 5.42146 0.73 0.908126 0.961497 7.2 -43.1664 14.5256 0.74 0.992504 0.971291 7.3 0.344466 -35.6547 0.75 0.913938 0.9975 7.4 14.6975 41.5864 0.76 1.03814 1.01128 7.5 -16.1586 0.316069 0.77 1.12634 0.995149 7.6 30.7722 -24.3469 0.78 0.907695 0.957289 7.7 -9.65536 11.4537 0.79 0.785919 0.925581 7.8 -28.2661 -10.6602 0.8 0.970205 0.925774 7.9 17.0059 11.0582 0.81 1.04843 0.960589 8 0.921826 17.6407 0.82 0.976545 1.00623 8.1 4.55634 -19.6782 0.83 0.989274 1.02957 8.2 9.61736 1.61188 0.84 1.12435 1.0131 8.3 -19.4463 15.3363 0.85 0.925094 0.96868 8.4 -3.4038 1.35216 0.86 0.742404 0.929053 8.5 20.9281 16.2449 0.87 1.04809 0.923519 8.6 -12.0847 -3.19244 0.88 1.06878 0.956155 8.7 8.93932 -23.8844 0.89 0.895847 1.00334 8.8 -7.50131 21.7321 0.9 1.12165 1.03243 8.9 -19.4102 -1.13376 0.91 0.914741 1.02706 9 31.656 7.65908 0.92 1.02058 0.99935 9.1 -7.35857 8.36828 0.93 0.965223 0.979476 9.2 -3.87717 -30.6846 0.94 1.00727 0.990822 9.3 2.78896 10.8389 0.95 1.09666 1.03028 9.4 -22.0416 7.54031 0.96 1.06601 1.06958 9.5 27.1401 -3.14394 0.97 0.998836 1.0769 9.6 3.90281 9.48953 0.98 1.09421 1.04228 9.7 -10.9786 -24.2249 0.99 0.949176 0.98673 9.8 2.52169 3.8149 1 0.90234 0.947609 9.9 -15.0122 9.1524 1.01 1.01372 0.951302 10 14.9042 -2.60957 1.02 1.04842 0.994119 10.1 2.26729 7.59319 1.03 1.09027 1.04618 10.2 -6.43336 -17.4459 1.04 0.891446 1.07504 10.3 0.689745 4.69701 1.05 1.14785 1.07034 10.4 -13.3358 3.62026 1.06 1.02997 1.04995 10.5 18.4995 4.73736 1.07 1.07138 1.04275 10.6 -6.10795 4.05267 1.08 1.03777 1.06194 10.7 -1.24675 -24.6237 1.09 1.23007 1.09092 10.8 0.884545 15.4294 1.1 0.97864 1.09412 10.9 -18.9657 4.21951 1.11 1.00323 1.04556 11 21.8605 -4.15924 1.12 0.955738 0.95314 11.1 -0.691747 12.2956 1.13 0.882088 0.8588 11.2 -5.88859 -28.7797 1.14 0.823165 0.812518 11.3 12.9803 13.74 1.15 0.912496 0.83839 11.4 -25.7774 2.35165 1.16 0.895222 0.917679 11.5 19.0923 -10.8713 1.17 0.947262 1.00176 11.6 7.91299 25.9641 1.18 0.999463 1.04583 11.7 -11.607 -30.9454 1.19 1.00317 1.03875 11.8 18.1567 3.86116 1.2 1.16939 1.00759 11.9 -27.0796 22.6756 1.21 0.964211 0.99414 12 11.8645 -18.4535 1.22 1.03484 1.02178 12.1 15.4351 22.1503 1.23 0.972016 1.0776 12.2 -22.0991 -16.5558 1.24 1.13532 1.12262 12.3 15.7603 -11.1191 1.25 1.15894 1.12147 12.4 -13.687 23.7971 1.26 1.10542 1.06881 12.5 1.30225 -13.192 1.27 0.921811 0.992667 12.6 21.2286 9.48879 1.28 0.986304 0.933495 12.7 -18.2825 0.352348 1.29 0.955435 0.915672 12.8 9.44618 -10.2682 1.3 0.853509 0.933256 12.9 -2.00894 16.2052 1.31 0.977116 0.959577 13 -6.2856 -6.15995 1.32 0.891894 0.971422 13.1 13.064 -1.09297 1.33 1.11365 0.967657 13.2 -0.0171509 1.27593 1.34 0.931822 0.967655 13.3 -0.608908 -11.8569 1.35 0.971089 0.991757 13.4 -1.86324 8.52345 1.36 1.03689 1.04059 13.5 0.967352 5.72262 1.37 1.04231 1.09083 13.6 7.24937 -6.40029 1.38 1.19668 1.11139 13.7 4.63611 -4.59123 1.39 1.06095 1.08747 13.8 -4.78802 -0.615725 1.4 0.967029 1.03311 13.9 -6.55514 2.46553 1.41 1.05934 0.982074 14 4.2451 0.427266 1.42 0.978844 0.963726 14.1 0.169639 -0.485647 1.43 0.911257 0.982347 14.2 -2.55401 -5.16127 1.44 1.11844 1.01549 14.3 0.948578 0.332888 1.45 0.910899 1.03199 14.4 -6.36182 7.0625 1.46 0.981675 1.01517 14.5 7.29594 5.24113 1.47 1.15803 0.973484 14.6 1.52804 3.42692 1.48 0.827104 0.931642 14.7 -1.82475 -12.1389 1.49 0.910229 0.910605 14.8 8.5865 -1.85341 1.5 0.906045 0.913348 14.9 -8.48842 6.69237 1.51 0.995753 0.927091 15 -0.287639 -4.05245 1.52 0.841723 0.938389 15.1 8.33863 4.69896 1.53 0.919462 0.946634 15.2 -8.48669 -7.47371 1.54 1.08405 0.963379 15.3 3.79119 -4.91182 1.55 0.966624 0.997867 15.4 -9.57408 6.57229 1.56 1.02466 1.04212 15.5 -3.98273 -7.61313 1.57 1.1244 1.07052 15.6 11.3269 5.81475 1.58 0.897939 1.05724 15.7 -7.60171 -1.66868 1.59 1.11251 0.998919 15.8 2.63139 -7.77417 1.6 0.890312 0.923655 15.9 -0.464071 12.7092 1.61 0.957886 0.876382 16 -2.29449 -1.59013 1.62 0.830397 0.888928 16.1 9.1974 1.06291 1.63 0.974346 0.956354 16.2 -3.48994 -2.13079 1.64 0.96488 1.03811 16.3 0.53708 -4.21448 1.65 1.13321 1.08472 16.4 -1.99549 6.24233 1.66 1.11869 1.07127 16.5 -4.8656 0.305734 1.67 0.966205 1.01342 16.6 8.70138 -1.00038 1.68 0.919612 0.954258 16.7 0.070621 0.103059 1.69 0.931844 0.93221 16.8 -1.09748 -1.87865 1.7 1.12021 0.954328 16.9 1.09277 4.25105 1.71 0.886467 0.994564 17 -2.61905 -0.0308013 1.72 0.93921 1.01705 17.1 4.24579 2.94794 1.73 0.995502 1.00504 17.2 -5.1789 -1.57303 1.74 1.01347 0.972468 17.3 1.38911 -5.23213 1.75 1.06007 0.949736 17.4 -2.62075 4.73876 1.76 0.928729 0.956506 17.5 -2.90818 -1.94279 1.77 0.94424 0.984601 17.6 4.3155 5.50601 1.78 0.980534 1.00544 17.7 -3.4726 0.699596 1.79 0.933603 0.995503 17.8 4.1593 -6.50119 1.8 0.931845 0.957754 17.9 -1.19207 2.62487 1.81 1.0869 0.920023 18 -4.30107 1.95075 1.82 0.929249 0.910896 18.1 8.48978 -0.152081 1.83 0.928941 0.933903 18.2 -1.33675 5.59276 1.84 0.86083 0.963804 18.3 0.468191 -6.03754 1.85 0.91047 0.970748 18.4 4.14786 1.05181 1.86 0.855713 0.952803 18.5 -5.45289 0.243984 1.87 1.20285 0.946492 18.6 7.82455 -3.44549 1.88 1.06491 1.00001 18.7 2.99048 1.8485 1.89 1.04608 1.12547 18.8 -3.93661 -2.3601 1.9 1.1906 1.26984 18.9 5.58598 -0.638632 1.91 1.33169 1.33783 19 -5.72694 7.97753 1.92 1.11448 1.26325 19.1 1.05477 -6.34015 1.93 1.15376 1.08392 19.2 2.92381 1.91448 1.94 1.18342 0.960427 19.3 -4.2653 -0.64351 1.95 1.27569 1.10793 19.4 4.47947 -0.0933234 1.96 1.42228 1.66812 19.5 1.40276 5.68342 1.97 2.32414 2.59606 19.6 1.18967 -5.86038 1.98 3.597 3.63924 19.7 3.23599 1.54145 1.99 4.79258 4.43587 19.8 -0.552717 0.574383 2 4.85382 4.68622 19.9 -0.391551 -1.89215 2.01 4.06378 4.30203 20 0.916352 -0.333587 2.02 3.47502 3.44775 20.1 -0.343269 0.619867 2.03 2.31484 2.45074 20.2 2.83308 -4.91966 2.04 1.56326 1.63468 20.3 0.936475 2.21639 2.05 1.31945 1.17313 20.4 -0.614912 -0.819862 2.06 1.1349 1.04155 20.5 0.395945 2.79945 2.07 1.17999 1.08148 20.6 1.09878 1.40653 2.08 0.995468 1.12278 20.7 -1.11209 4.35284 2.09 0.922415 1.08262 20.8 -1.83825 0.216976 2.1 0.980262 0.986401 20.9 -2.03601 -0.718182 2.11 1.00803 0.913884 21 0.627348 -2.72882 2.12 0.992047 0.921275 21.1 -1.92604 -0.792977 2.13 1.08616 0.997554 21.2 6.52881 1.19341 2.14 0.986944 1.08 21.3 -1.11743 0.758923 2.15 0.974171 1.10805 21.4 -1.53412 -2.38108 2.16 1.11907 1.06975 21.5 -1.25493 -0.722166 2.17 1.06607 1.00614 21.6 -3.13053 0.421718 2.18 0.949801 0.974465 21.7 1.88091 -0.774553 2.19 0.965768 1.0017 21.8 0.0904362 3.00071 2.2 1.20945 1.06487 21.9 1.02928 0.044667 2.21 1.06531 1.11105 22 -1.01777 0.227008 2.22 1.00768 1.09916 22.1 -2.5818 0.665323 2.23 1.06334 1.03057 22.2 4.87145 -2.35185 2.24 0.801837 0.946248 22.3 -1.98951 2.32725 2.25 1.09246 0.894937 22.4 0.998303 -2.46267 2.26 0.891674 0.89831 22.5 5.60637 3.00466 2.27 1.03135 0.939107 22.6 -0.269316 3.11514 2.28 0.815058 0.979034 22.7 2.07844 -1.52895 2.29 0.95462 0.990089 22.8 3.71501 -2.84519 2.3 0.973027 0.974182 22.9 -4.4148 -4.51689 2.31 0.963363 0.956919 23 3.26014 -4.89186 2.32 1.1131 0.962665 23.1 -0.385819 -0.87792 2.33 1.02147 0.992293 23.2 3.66445 0.733414 2.34 0.910956 1.02178 23.3 -0.778776 -0.33088 2.35 0.933717 1.02238 23.4 -0.645224 -2.05555 2.36 0.952165 0.985703 23.5 -1.51624 -3.60805 2.37 1.09462 0.933098 23.6 -0.949161 3.54512 2.38 0.881027 0.901388 23.7 4.35865 -1.9713 2.39 0.973447 0.915287 23.8 1.66264 -0.0127252 2.4 0.860429 0.967545 23.9 -0.713736 -0.186715 2.41 1.00267 1.02215 24 -1.20155 1.20479 2.42 1.08951 1.03885 24.1 -3.51238 0.934914 2.43 0.947254 1.00171 24.2 4.07253 -3.17102 2.44 0.958202 0.931295 24.3 3.75811 -3.32142 2.45 0.976902 0.872119 24.4 -1.86737 -1.89927 2.46 0.774499 0.864035 24.5 -1.26235 -1.73489 2.47 0.930456 0.91693 24.6 0.117342 2.33597 2.48 0.924868 1.00507 24.7 -1.95083 -1.68459 2.49 1.19176 1.08372 24.8 1.85121 1.04445 2.5 1.04592 1.11638 24.9 1.20846 1.16717 2.51 1.17449 1.09534 25 -0.353525 -2.37505 2.52 0.956795 1.0443 25.1 -1.62702 3.07734 2.53 1.06013 1.00341 25.2 -2.30683 -0.610948 2.54 1.01689 1.00758 25.3 4.39274 -0.0549615 2.55 1.07748 1.07059 25.4 -2.49882 -0.807095 2.56 1.06358 1.18279 25.5 1.51627 -0.260215 2.57 1.41138 1.32112 25.6 -1.66022 -0.498203 2.58 1.4639 1.46451 25.7 -3.13524 0.762748 2.59 1.68694 1.60586 25.8 1.96194 1.4276 2.6 1.57912 1.75448 25.9 -3.37046 -2.51803 2.61 2.12033 1.9281 26 1.43872 -2.00372 2.62 1.94456 2.138 26.1 -6.4471 1.21428 2.63 2.50091 2.37497 26.2 1.0487 -3.99535 2.64 2.52458 2.60392 26.3 1.10648 -0.189155 2.65 2.86634 2.77241 26.4 -2.99106 -3.10716 2.66 2.80401 2.83127 26.5 2.63875 -1.35035 2.67 2.69657 2.75828 26.6 1.80525 2.0029 2.68 2.66611 2.57195 26.7 -1.27398 -1.00036 2.69 2.21156 2.3259 26.8 3.4543 1.07441 2.7 2.17512 2.08463 26.9 -2.78061 -2.02654 2.71 1.84375 1.89292 27 0.87763 -5.21826 2.72 1.76528 1.75628 27.1 -2.95951 3.58737 2.73 1.69454 1.64462 27.2 -2.11747 2.81108 2.74 1.50413 1.51687 27.3 0.300699 1.63775 2.75 1.28578 1.35142 27.4 -3.08299 1.81356 2.76 1.20618 1.1626 27.5 -1.11709 -4.0683 2.77 0.967535 0.992795 27.6 -0.871235 3.41911 2.78 0.867837 0.885518 27.7 -2.33036 -0.622674 2.79 0.968169 0.857736 27.8 3.38706 -1.14016 2.8 0.88875 0.889746 27.9 -0.432332 2.21448 2.81 0.771247 0.938751 28 -2.61039 -3.43637 2.82 1.03678 0.966054 28.1 -0.618534 -0.790976 2.83 1.00693 0.958972 28.2 -6.26151 3.17887 2.84 0.926808 0.933275 28.3 -0.464982 0.177033 2.85 0.927053 0.916326 28.4 -5.0474 3.38647 2.86 0.89752 0.924641 28.5 1.32125 -0.581698 2.87 0.905332 0.952541 28.6 -6.72011 4.82539 2.88 1.05242 0.979266 28.7 1.76918 0.923728 2.89 0.948811 0.987588 28.8 4.78275 2.27367 2.9 1.01858 0.978575 28.9 1.01307 4.8605 2.91 0.960205 0.970652 29 -1.83473 -1.40714 2.92 0.939562 0.983745 29.1 -1.25796 0.749968 2.93 1.00393 1.0211 29.2 -2.70054 -0.656685 2.94 1.15734 1.06351 29.3 1.92415 -1.39722 2.95 1.07224 1.08145 29.4 -0.86777 1.75696 2.96 1.00134 1.0568 29.5 0.868339 0.250198 2.97 0.964278 0.99835 29.6 -2.79711 0.319737 2.98 0.996032 0.938794 29.7 0.25021 -2.34315 2.99 0.934483 0.914503 29.8 1.71816 -2.03488 3 0.935962 0.941343 29.9 0.828868 3.26047 3.01 0.925965 1.00329 30 -0.686362 -1.9769 3.02 1.17258 1.06191 30.1 1.71359 0.361828 3.03 1.00279 1.08053 30.2 -0.412966 0.326269 3.04 1.09615 1.0474 30.3 0.0778059 -3.40689 3.05 0.886214 0.98259 30.4 -2.54534 1.10096 3.06 1.02947 0.925021 30.5 -0.119376 -0.561006 3.07 0.908041 0.908277 30.6 -1.0018 2.247 3.08 0.884267 0.940988 30.7 -1.02355 0.0245931 3.09 1.04402 1.00343 30.8 0.767718 -0.794555 3.1 1.03781 1.06121 30.9 -4.08939 0.913299 3.11 1.08544 1.08641 31 -0.208333 -2.20904 3.12 1.0428 1.07288 31.1 0.689828 2.55956 3.13 1.08223 1.03732 31.2 -0.87879 3.35072 3.14 1.05585 1.00704 31.3 -0.0117869 0.0601812 3.15 0.957311 1.00282 31.4 -3.21296 3.84172 3.16 0.986276 1.02731 31.5 0.000962706 -2.69031 3.17 1.04234 1.06486 31.6 4.64057 -1.8478 3.18 1.17783 1.09161 31.7 -4.25437 -2.27788 3.19 1.09856 1.0895 31.8 0.593187 -2.89086 3.2 0.941947 1.05617 31.9 -3.84013 2.30571 3.21 1.1081 1.00615 32 -1.83111 -3.00841 3.22 0.98405 0.962953 32.1 2.74122 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