input = [ -3.5388358909926865E-15,  8.572919609832752E-4,  0.0034564168981887633,  0.007716466716374271,  0.013827922794007463,  0.02135455165989697,  0.031121281899686437,  0.041868563974276185,  0.055347759553114884,  0.06924136297311634,  0.08652310876641423,  0.10349073400720954,  0.12466756976209581,  0.1446388775948435,  0.1698058523470536,  0.19271240942180157,  0.22196706355316564,  0.24774229433387518,  0.28118476329836994,  0.30976383900269866,  0.3474969050148502,  0.37881670659407973,  0.4209457169054076,  0.4549447847530246,  0.5015778355300426,  0.53819624427706,  0.5894440831616521,  0.6286234511062503,  0.6845995271578431,  0.7262828489765525,  0.7871034205891192,  0.8312350474298,  0.8970192319247872,  0.9435447631403804,  1.0144142294302583,  1.063280526548624,  1.1393599561415613,  1.1905150339007378,  1.2719318736344576,  1.3253245018422604,  1.4122090651653707,  1.4677891954779625,  1.5602745325304568,  1.6179931350052357,  1.7162151960656047,  1.776023743674159,  1.8801215384155512,  1.9342659609392285,  2.052087248302996,  2.10753664188087,  2.232209932990372,  2.288885435089469,  2.420590524561703,  2.4882874824106693,  2.617333042435348,  2.6868868209421635,  2.822544830851257,  2.8939100056886673,  3.036336558870971,  3.097128420136869,  3.2588210329413414,  3.3204442653805017,  3.4901153342798352,  3.552489483729005,  3.7303379690274596,  3.7933830600231886,  3.9796110056340694,  4.05935463309288,  4.238058887422085,  4.319342225790024,  4.505808195099235,  4.5703765116631985,  4.782988121733069,  4.8478982504457235,  5.069730235263705,  5.134897166863084,  5.366167528554797,  5.431506037712097,  5.6724353693425655,  5.737859042361379,  5.988671500235796,  6.054091295227408,  6.3150146137923,  6.380341183394194,  6.651604827493429,  6.743507042527199,  6.998584158718586,  7.0634492840617895,  7.3560955747962,  7.420589881017804,  7.724283942952752,  7.7883110120892525,  8.103294130414724,  8.166755739599466,  8.49327290430665,  8.55606946349144,  8.894366081804037,  8.95639618113637,  9.306722804903984,  9.405203998088837,  9.730489365756512,  9.829677790403366,  10.165814906358719,  10.265647798776627,  10.612847618758678,  10.713261410593987,  11.071734745055437,  11.172663196921349,  11.54262637719512,  11.644000545144081,  12.025668807327747,  12.127418965101242,  12.521010227501392,  12.62306396663189,  13.02879597991705,  13.078971724957228,  13.549173306673765,  13.59743706509471,  14.082287549972534,  14.128509655594826,  14.628281202167273,  14.672330688685179,  15.187297705560923,  15.289712950587273,  15.759477652609348,  15.861717760562897,  16.344961635768414,  16.446937680244446,  16.94388549774885,  17.045508831739426,  17.556387931108475,  17.657562643289566,  18.182600028812885,  18.210679911077023,  18.82265478372574,  18.922645837068558,  19.476683288812637,  19.575930565595627,  20.144810937345028,  20.243208646774292,  20.827161222696304,  21.007640026509762,  21.52385573834181,  21.62023490667343,  22.23501417785883,  22.3302159011364,  22.9607505351305,  22.963172890245914,  23.701176904141903,  23.699255660176277,  24.456401579082012,  24.449956968426704,  25.226530954241753,  25.31583747267723,  26.01166572421789,  26.099185466766357,  26.811902783811092,  26.89750501513481,  27.627335228025913,  27.600922405719757,  28.45805235207081,  28.539415508508682,  29.30414155125618,  29.383175432682037,  30.165678821504116,  30.242239236831665,  31.04274395853281,  31.116683900356293,  31.935405358672142,  32.006577014923096,  32.84373141825199,  32.91197866201401,  33.76778483390808,  33.83295267820358,  34.70761880278587,  34.76954412460327,  35.663282722234726,  35.72180932760239,  36.634825989603996,  36.689782083034515,  37.62229040265083,  37.67350745201111,  38.62570635974407,  38.67301172018051,  39.64510425925255,  39.68832117319107,  40.68050689995289,  40.71945834159851,  41.73192948102951,  41.60069467127323,  42.79938720166683,  42.829257130622864,  43.88288386166096,  43.90793377161026,  44.98241566121578,  45.00245314836502,  46.0979788005352,  46.112807750701904,  47.2295580804348,  47.238978803157806,  48.37713070213795,  48.380943775177,  49.540670067071915,  49.538672626018524,  50.72014577686787,  50.712127804756165,  51.91551223397255,  51.901268005371094,  53.12672384083271,  53.3167789131403,  54.35372740030289,  54.32638943195343,  55.596458315849304,  55.56224673986435,  56.85485199093819,  56.81354874372482,  58.128832429647446,  58.310686096549034,  59.418316036462784,  59.597712963819504,  60.723211616277695,  60.65927428007126,  62.04342037439346,  61.97148013114929,  63.37883971631527,  63.298665046691895,  64.72935944795609,  64.64071261882782,  66.09486177563667,  66.25939753651619,  67.47521370649338,  67.63624450564384,  68.87027844786644,  69.0276210308075,  70.27992680668831,  70.43338385224342,  71.7039991915226,  71.85338971018791,  73.14234361052513,  73.28747272491455,  74.59479287266731,  74.73545947670937,  76.06117978692055,  76.19719162583351,  77.54131436347961,  77.67247313261032,  79.03502181172371,  79.16112303733826,  80.5421045422554,  80.98177117109299,  82.06235736608505,  82.50254195928574,  83.59556749463081,  83.70526242256165,  85.14152213931084,  85.24533504247665,  86.70000091195107,  86.79771292209625,  88.27076822519302,  88.36216986179352,  89.85358089208603,  90.29393744468689,  91.4481957256794,  91.88808977603912,  93.05436193943024,  93.1255193054676,  94.67181354761124,  94.73578920960426,  96.30028456449509,  96.35684883594513,  97.93949380517006,  97.9884267449379,  99.58916768431664,  100.02403938770294,  101.24900981783867,  101.68232297897339,  102.91872382164001,  103.35029590129852,  104.59800571203232,  105.027647793293,  106.28655150532722,  106.29392662644386,  107.98404201865196,  107.98241636157036,  109.69014286994934,  109.67929056286812,  111.40453487634659,  111.38422501087189,  113.1268760561943,  113.09687286615372,  114.8568244278431,  115.270716547966,  116.59402281045914,  117.00459206104279,  118.33813682198524,  118.74515926837921,  120.08877888321877,  120.01768419146538,  121.84559941291809,  121.76364371180534,  123.60821083188057,  123.51517528295517,  125.37624835968018,  125.27188682556152,  127.14931681752205,  127.53550207614899,  128.92702102661133,  129.30840742588043,  130.70898860692978,  131.08535504341125,  132.49480158090591,  132.34282684326172,  134.28404957056046,  134.11959475278854,  136.07632219791412,  136.43631839752197,  137.87120908498764,  138.22531712055206,  139.66829985380173,  140.01628398895264,  141.46715372800827,  141.80881023406982,  143.267360329628,  143.03709280490875,  145.06846368312836,  145.39679980278015,  146.87003821134567,  147.1913698911667,  148.67165833711624,  148.98577344417572,  150.4728528857231,  150.77952599525452,  152.27318108081818,  152.57220363616943,  154.0722021460533,  154.3633370399475,  155.86944490671158,  156.1525022983551,  157.66448378562927,  157.93921494483948,  159.4568172097206,  159.72302079200745,  161.2460196018219,  161.50345051288605,  163.03160458803177,  163.28006505966187,  164.8131161928177,  165.7021924853325,  166.5900680422783,  167.47669726610184,  168.36201936006546,  169.24595832824707,  170.12846857309341,  171.0094740986824,  171.8889445066452,  172.76680380105972,  173.6429911851883,  174.51744586229324,  175.39012223482132,  176.26094430685043,  177.1298512816429,  177.9967975616455,  178.86172235012054,  179.72454965114594,  180.58523386716843,  181.44371420145035,  182.2999146580696,  183.15380483865738,  184.00530874729156,  184.85435038805008,  185.7008993625641,  186.5448796749115,  187.38623052835464,  188.22490632534027,  189.0608310699463,  189.89395916461945,  190.72421461343765,  191.55155181884766,  192.3759099841118,  193.19722831249237,  194.01544600725174,  194.8304870724678,  195.64233630895615,  196.45088732242584,  197.25610971450806,  198.05794268846512,  198.85632544755936,  199.65118199586868,  200.44248193502426,  201.230149269104,  202.01413840055466,  202.79437333345413,  203.5708236694336,  204.34339821338654,  205.11206656694412,  205.06940805912018,  206.63742631673813,  207.39401131868362,  208.14644694328308,  208.89468759298325,  209.63867247104645,  210.37835597991943,  211.11366212368011,  211.84454530477524,  212.57095992565155,  213.29284518957138,  214.01014029979706,  214.72279965877533,  215.43076246976852,  216.1339831352234,  216.83240085840225,  217.52595484256744,  218.21461468935013,  218.89830440282822,  219.57699358463287,  220.25062143802643,  220.9191119670868,  221.58244997262955,  222.24057465791702,  222.89342522621155,  223.54095607995987,  224.18312162160873,  224.81986105442047,  225.45112878084183,  226.07689440250397,  226.6970819234848,  227.3116609454155,  227.9205858707428,  228.52378070354462,  229.12124544382095,  229.7128888964653,  230.29869586229324,  230.8785903453827,  231.45255714654922,  232.02053546905518,  232.5824949145317,  233.13835948705673,  233.68812918663025,  234.23171281814575,  234.76911038160324,  235.30026108026505,  235.8251193165779,  236.3436394929886,  236.85580641031265,  237.36154407262802,  237.86083728075027,  238.35364043712616,  238.83990794420242,  239.31962460279465,  239.79271441698074,  240.2591621875763,  240.71893751621246,  241.17197960615158,  241.61827325820923,  242.05778807401657,  242.49046325683594,  0.0,  0.0,  243.7472078204155,  244.15223568677902,  244.5502719283104,  244.94128614664078,  245.32524794340134,  245.70212692022324,  246.07187747955322,  246.43448442220688,  246.78990215063095,  247.13813066482544,  247.47910916805267,  247.81283766031265,  248.13927054405212,  248.45839262008667,  248.77017349004745,  249.07459795475006,  249.37162041664124,  249.66122567653656,  249.94339853525162,  250.21810859441757,  250.48534065485,  250.74506431818008,  250.9972643852234,  251.24191045761108,  251.47900253534317,  251.7085102200508,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  254.43373918533325,  254.52409833669662,  254.6066451072693,  254.681333899498,  254.74819511175156,  254.80718314647675,  254.8583284020424,  254.90161567926407,  254.93702977895737,  254.96457070112228,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.9574597477912903,  0.0,  0.9542557001113892,  0.0,  0.9509429931640625,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.8791494965553284,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.8420501947402954,  0.0,  0.8364425301551819,  0.0,  0.8307629227638245,  0.0,  0.8250131607055664,  0.0,  0.8191948533058167,  0.0,  0.8133098483085632,  0.0,  0.8073598742485046,  0.0,  0.8013466596603394,  0.0,  0.7952720522880554,  0.0,  0.7891378402709961,  0.0,  0.7829458117485046,  0.0,  0.7766978144645691,  0.0,  0.7703956365585327,  0.0,  0.7640411257743835,  0.0,  0.7576361894607544,  0.0,  0.7511825561523438,  0.0,  0.7446821928024292,  0.0,  0.738136887550354,  0.0,  0.731548547744751,  0.0,  0.7249190211296082,  0.0,  1.4365004301071167,  0.0,  1.4230879545211792,  0.0,  1.4096043109893799,  0.0,  1.3960533142089844,  0.0,  1.3824387788772583,  0.0,  0.6843821406364441,  0.0,  0.6775168776512146,  0.0,  0.6706253886222839,  0.0,  0.6637096405029297,  0.0,  0.6567713618278503,  0.0,  1.299625039100647,  0.0,  1.2856698036193848,  0.0,  1.2716807126998901,  0.0,  0.6288307905197144,  0.0,  0.6218079328536987,  0.0,  0.6147736310958862,  0.0,  0.6077296733856201,  0.0,  1.2013559341430664,  0.0,  1.1872403621673584,  0.0,  0.5865581631660461,  0.0,  0.5794935822486877,  0.0,  0.5724283456802368,  0.0,  1.130728006362915,  0.0,  1.1166048049926758,  0.0,  1.1024904251098633,  0.0,  0.5441941618919373,  0.0,  0.5371508598327637,  0.0,  0.5301169753074646,  0.0,  0.5230941772460938,  0.0,  1.0321681499481201,  0.0,  1.0181764364242554,  0.0,  1.0042165517807007,  0.0,  0.9902915954589844,  0.0,  0.4882022738456726,  0.0,  0.4812792241573334,  0.0,  0.47437819838523865,  0.0,  0.9350012540817261,  0.0,  0.9212960004806519,  0.0,  0.9076434373855591,  0.0,  0.894046425819397,  0.0,  0.8805077075958252,  0.0,  0.8670299649238586,  0.0,  0.853615939617157,  0.0,  0.8402681946754456,  0.0,  1.2404840290546417,  0.0,  1.2206727862358093,  0.0,  1.200972318649292,  0.0,  0.7875908613204956,  0.0,  0.7746120691299438,  0.0,  0.7617142200469971,  0.0,  1.123349279165268,  0.0,  1.1042551696300507,  0.0,  1.085292398929596,  0.0,  0.7109758853912354,  0.0,  0.6985151767730713,  0.0,  0.686147928237915,  0.0,  1.0108142495155334,  0.0,  0.9925525188446045,  0.0,  0.9744394719600677,  0.0,  0.9564776122570038,  0.0,  0.9386694431304932,  0.0,  0.6140116453170776,  0.0,  0.6023493409156799,  0.0,  0.5907941460609436,  0.0,  0.5793476104736328,  0.0,  0.5680109858512878,  0.0,  0.5567856431007385,  0.0,  0.5456728935241699,  0.0,  0.5346738696098328,  0.0,  0.5237897038459778,  0.0,  0.5130215287208557,  0.0,  0.5023703575134277,  0.0,  0.49183714389801025,  0.0,  0.4814228117465973,  0.0,  0.4711281657218933,  0.0,  0.46095404028892517,  0.0,  0.45090118050575256,  0.0,  0.22048510611057281,  0.0,  0.21558091044425964,  0.0,  0.4214765131473541,  0.0,  0.4119148254394531,  0.0,  0.4024772047996521,  0.0,  0.19658203423023224,  0.0,  0.19198787212371826,  0.0,  0.18745626509189606,  0.0,  0.18298733234405518,  0.0,  0.17858116328716278,  0.0,  0.3484756648540497,  0.0,  0.3399147391319275,  0.0,  0.16573981940746307,  0.0,  0.16158515214920044,  0.0,  0.3149866759777069,  0.0,  0.3069286644458771,  0.0,  0.29899609088897705,  0.0,  0.14559437334537506,  0.0,  0.1417532116174698,  0.0,  0.13797438144683838,  0.0,  0.1342577487230301,  0.0,  0.13060308992862701,  0.0,  0.12701022624969482,  0.0,  0.12347890436649323,  0.0,  0.12000888586044312,  0.0,  0.116599902510643,  0.0,  0.11325164884328842,  0.0,  0.21992766857147217,  0.0,  0.21347226202487946,  0.0,  0.2071363925933838,  0.0,  0.20091934502124786,  0.0,  0.194820374250412,  0.0,  0.18883869051933289,  0.0,  0.1829734891653061,  0.0,  0.17722393572330475,  0.0,  0.2573837488889694,  0.0,  0.24910245090723038,  0.0,  0.24099057912826538,  0.0,  0.155364528298378,  0.0,  0.07508986443281174,  0.0,  0.07255250960588455,  0.0,  0.07006969302892685,  0.0,  0.06764090806245804,  0.0,  0.13053125143051147,  0.0,  0.12588664889335632,  0.0,  0.12134692817926407,  0.0,  0.11691100150346756,  0.0,  0.11257776618003845,  0.0,  0.1083461120724678,  0.0,  0.10421491414308548,  0.0,  0.15027457103133202,  0.0,  0.1443740352988243,  0.0,  0.1386190541088581,  0.0,  0.08867193013429642,  0.0,  0.08502588421106339,  0.0,  0.08147339522838593,  0.0,  0.07801331579685211,  0.0,  0.07464447617530823,  0.0,  0.07136570662260056,  0.0,  0.06817585229873657,  0.0,  0.06507375091314316,  0.0,  0.062058255076408386,  0.0,  0.08869230933487415,  0.0,  0.08442369662225246,  0.0,  0.08027984574437141,  0.0,  0.0508393719792366,  0.0,  0.04823977127671242,  0.0,  0.045719992369413376,  0.0,  0.04327893257141113,  0.0,  0.04091551527380943,  0.0,  0.03862867131829262,  0.0,  0.036417342722415924,  0.0,  0.03428049385547638,  0.0,  0.03221710026264191,  0.0,  0.03022615984082222,  0.0,  0.028306689113378525,  0.0,  0.02645772323012352,  0.0,  0.024678314104676247,  0.0,  0.022967539727687836,  0.0,  0.03198674786835909,  0.0,  0.029622470028698444,  0.0,  0.0273571964353323,  0.0,  0.025189680978655815,  0.0,  0.023118716664612293,  0.0,  0.0140954265370965,  0.0,  0.01284121535718441,  0.0,  0.017473680898547173,  0.0,  0.01577767264097929,  0.0,  0.01417279802262783,  0.0,  0.008438734337687492,  0.0,  0.00748845050111413,  0.0,  0.006597103551030159,  0.0,  0.005764149595052004,  0.0,  0.004989075008779764,  0.0,  0.004271398764103651,  0.0,  0.0036106728948652744,  0.0,  0.004509722697548568,  0.0,  0.003687664750032127,  0.0,  0.0029493130277842283,  0.0,  0.0022941953502595425,  0.0,  0.0017218913999386132,  0.0,  0.0012320325477048755,  0.0,  8.243019401561469E-4,  0.0,  4.984352854080498E-4,  0.0,  2.5422085309401155E-4,  0.0,  9.149960533250123E-5,  0.0,  1.0165517323912354E-5];

ffted = fft(input);
magnitudes = abs(ffted(1:end/2));
dB = 20 .* log10(magnitudes);
plot(dB);