# Welcome to the Fast Fourier Transform Program 
# We will first examine the function :
# f(t) = cos( 6 * pi * t )
# How many seconds would you like to sample this function for (0 to quit)? # How many samples would you like to take per second? # The sampled values are
# Time       	       f(t)
0	1	0
1	1	0
2	1	0
3	1	0
4	1	0
5	1	0
6	1	0
7	1	0
8	1	0
9	1	0
10	1	0
11	1	0
12	1	0
13	1	0
14	1	0
15	1	0
16	1	0
17	1	0
18	1	0
19	1	0
20	1	0
21	1	0
22	1	0
23	1	0
24	1	0
25	1	0
26	1	0
27	1	0
28	1	0
29	1	0
30	1	0
31	1	0

# Here is the spectrum of the sampled data
0	32	0
0.19634954084936	0	0
0.39269908169872	0	0
0.58904862254809	0	0
0.78539816339745	0	0
0.98174770424681	0	0
1.1780972450962	0	0
1.3744467859455	0	0
1.5707963267949	0	0
1.7671458676443	0	0
1.9634954084936	0	0
2.159844949343	0	0
2.3561944901923	0	0
2.5525440310417	0	0
2.7488935718911	0	0
2.9452431127404	0	0
3.1415926535898	0	0
3.3379421944392	0	0
3.5342917352885	0	0
3.7306412761379	0	0
3.9269908169872	0	0
4.1233403578366	0	0
4.319689898686	0	0
4.5160394395353	0	0
4.7123889803847	0	0
4.9087385212341	0	0
5.1050880620834	0	0
5.3014376029328	0	0
5.4977871437821	0	0
5.6941366846315	0	0
5.8904862254809	0	0
6.0868357663302	0	0

# Welcome to the Fast Fourier Transform Program 
# We will first examine the function :
# f(t) = cos( 6 * pi * t )
# How many seconds would you like to sample this function for (0 to quit)? # How many samples would you like to take per second? # The sampled values are
# Time       	       f(t)
0	1	0
0.5	-1	0
1	1	0
1.5	-1	0
2	1	0
2.5	-1	0
3	1	0
3.5	-1	0
4	1	0
4.5	-1	0
5	1	0
5.5	-1	0
6	1	0
6.5	-1	0
7	1	0
7.5	-1	0
8	1	0
8.5	-1	0
9	1	0
9.5	-1	0
10	1	0
10.5	-1	0
11	1	0
11.5	-1	0
12	1	0
12.5	-1	0
13	1	0
13.5	-1	0
14	1	0
14.5	-1	0
15	1	0
15.5	-1	0

# Here is the spectrum of the sampled data
0	0	0
0.39269908169872	0	0
0.78539816339745	0	0
1.1780972450962	0	0
1.5707963267949	0	0
1.9634954084936	0	0
2.3561944901923	0	0
2.7488935718911	0	0
3.1415926535898	0	0
3.5342917352885	0	0
3.9269908169872	0	0
4.319689898686	0	0
4.7123889803847	0	0
5.1050880620834	0	0
5.4977871437821	0	0
5.8904862254809	0	0
6.2831853071796	32	0
6.6758843888783	0	0
7.068583470577	0	0
7.4612825522758	0	0
7.8539816339745	0	0
8.2466807156732	0	0
8.6393797973719	0	0
9.0320788790707	0	0
9.4247779607694	0	0
9.8174770424681	0	0
10.210176124167	0	0
10.602875205866	0	0
10.995574287564	0	0
11.388273369263	0	0
11.780972450962	0	0
12.17367153266	0	0

# Welcome to the Fast Fourier Transform Program 
# We will first examine the function :
# f(t) = cos( 6 * pi * t )
# How many seconds would you like to sample this function for (0 to quit)? # How many samples would you like to take per second? # The sampled values are
# Time       	       f(t)
0	1	0
0.25	-1.8369095307336e-016	0
0.5	-1	0
0.75	5.5107285922007e-016	0
1	1	0
1.25	-2.694811604767e-015	0
1.5	-1	0
1.75	-4.9052016788675e-016	0
2	1	0
2.25	-3.4295754170605e-015	0
2.5	-1	0
2.75	2.4424364440667e-016	0
3	1	0
3.25	-4.1643392293539e-015	0
3.5	-1	0
3.75	9.790074567001e-016	0
4	1	0
4.25	-4.8991030416473e-015	0
4.5	-1	0
4.75	8.8191986265945e-015	0
5	1	0
5.25	1.4715605036603e-015	0
5.5	-1	0
5.75	2.448535081287e-015	0
6	1	0
6.25	-6.3686306662342e-015	0
6.5	-1	0
6.75	1.0288726251181e-014	0
7	1	0
7.25	-1.4208821836129e-014	0
7.5	-1	0
7.75	1.8128917421076e-014	0

# Here is the spectrum of the sampled data
0	6.4917689279742e-015	0
0.78539816339745	8.3377493850199e-015	-1.3254853072044e-014
1.5707963267949	1.3192991688311e-014	1.0011781210377e-014
2.3561944901923	1.9253502480823e-014	-7.9384124640267e-015
3.1415926535898	4.1564517939453e-015	2.512147933894e-015
3.9269908169872	2.6367751019997e-014	3.9454400264634e-015
4.7123889803847	2.5286140556762e-014	-1.760601907617e-014
5.4977871437821	2.5092287332414e-014	-2.1567687083891e-014
6.2831853071796	16	-7.5446593417183e-014
7.068583470577	-2.5092287332414e-014	-2.1567687083891e-014
7.8539816339745	-2.5286140556762e-014	-1.760601907617e-014
8.6393797973719	-2.6367751019997e-014	3.9454400264633e-015
9.4247779607694	-4.1564517939453e-015	2.512147933894e-015
10.210176124167	-1.9253502480823e-014	-7.9384124640268e-015
10.995574287564	-1.3192991688311e-014	1.0011781210377e-014
11.780972450962	-8.3377493850198e-015	-1.3254853072044e-014
12.566370614359	-6.4917689279742e-015	0
13.351768777757	-8.3377493850199e-015	1.3254853072044e-014
14.137166941154	-1.3192991688311e-014	-1.0011781210377e-014
14.922565104552	-1.9253502480823e-014	7.9384124640267e-015
15.707963267949	-4.1564517939453e-015	-2.512147933894e-015
16.493361431346	-2.6367751019997e-014	-3.9454400264634e-015
17.278759594744	-2.5286140556762e-014	1.760601907617e-014
18.064157758141	-2.5092287332414e-014	2.1567687083891e-014
18.849555921539	16	7.5446593417183e-014
19.634954084936	2.5092287332414e-014	2.1567687083891e-014
20.420352248334	2.5286140556762e-014	1.760601907617e-014
21.205750411731	2.6367751019997e-014	-3.9454400264633e-015
21.991148575129	4.1564517939453e-015	-2.512147933894e-015
22.776546738526	1.9253502480823e-014	7.9384124640268e-015
23.561944901923	1.3192991688311e-014	-1.0011781210377e-014
24.347343065321	8.3377493850198e-015	1.3254853072044e-014

# Welcome to the Fast Fourier Transform Program 
# We will first examine the function :
# f(t) = cos( 6 * pi * t )
# How many seconds would you like to sample this function for (0 to quit)? # How many samples would you like to take per second? # The sampled values are
# Time       	       f(t)
0	1	0
0.125	-0.70710678118655	0
0.25	-1.8369095307336e-016	0
0.375	0.70710678118655	0
0.5	-1	0
0.625	0.70710678118655	0
0.75	5.5107285922007e-016	0
0.875	-0.70710678118655	0
1	1	0
1.125	-0.70710678118655	0
1.25	-2.694811604767e-015	0
1.375	0.70710678118655	0
1.5	-1	0
1.625	0.70710678118655	0
1.75	-4.9052016788675e-016	0
1.875	-0.70710678118655	0
2	1	0
2.125	-0.70710678118655	0
2.25	-3.4295754170605e-015	0
2.375	0.70710678118655	0
2.5	-1	0
2.625	0.70710678118655	0
2.75	2.4424364440667e-016	0
2.875	-0.70710678118655	0
3	1	0
3.125	-0.70710678118655	0
3.25	-4.1643392293539e-015	0
3.375	0.70710678118655	0
3.5	-1	0
3.625	0.70710678118654	0
3.75	9.790074567001e-016	0
3.875	-0.70710678118655	0

# Here is the spectrum of the sampled data
0	-1.1853148670915e-014	0
1.5707963267949	-7.4647438416077e-015	-7.8887304158713e-016
3.1415926535898	-7.2758561034744e-015	9.5453078755758e-015
4.7123889803847	-5.453723513809e-015	3.0289890832976e-015
6.2831853071796	-3.5527136788005e-015	2.8987229283572e-015
7.8539816339745	1.4552325546456e-015	9.5081355541532e-015
9.4247779607694	7.7668823255221e-016	4.4057046694675e-015
10.995574287564	-2.081833808221e-015	3.3520647533668e-015
12.566370614359	9.1886134118147e-015	-8.8817841970013e-016
14.137166941154	-5.7412207872435e-015	-1.2897793641636e-015
15.707963267949	-4.9331400264975e-015	-6.1859119832061e-016
17.278759594744	-7.2126392473345e-015	7.5854207662503e-015
18.849555921539	16	4.1510198056649e-014
20.420352248334	1.1211130206498e-014	1.1062742953947e-015
21.991148575129	1.143230789742e-014	4.5210120077878e-015
23.561944901923	1.5287798437072e-014	-5.4307171591175e-015
25.132741228718	-6.5240781527143e-015	0
26.703537555513	1.5287798437072e-014	5.4307171591176e-015
28.274333882308	1.143230789742e-014	-4.5210120077877e-015
29.845130209103	1.1211130206498e-014	-1.1062742953947e-015
31.415926535898	16	-2.6411164921747e-014
32.986722862693	-7.2126392473345e-015	-7.5854207662503e-015
34.557519189488	-4.9331400264975e-015	6.1859119832061e-016
36.128315516283	-5.7412207872435e-015	1.2897793641636e-015
37.699111843078	9.1886134118147e-015	8.8817841970013e-016
39.269908169872	-2.0818338082209e-015	-3.3520647533668e-015
40.840704496667	7.7668823255223e-016	-4.4057046694675e-015
42.411500823462	1.4552325546456e-015	-9.5081355541532e-015
43.982297150257	2.6645352591004e-015	-1.7997756063259e-014
45.553093477052	-5.453723513809e-015	-3.0289890832976e-015
47.123889803847	-7.2758561034744e-015	-9.5453078755759e-015
48.694686130642	-7.4647438416077e-015	7.8887304158708e-016

# Welcome to the Fast Fourier Transform Program 
# We will first examine the function :
# f(t) = cos( 6 * pi * t )
# How many seconds would you like to sample this function for (0 to quit)? # How many samples would you like to take per second? # The sampled values are
# Time       	       f(t)
0	1	0
0.0625	0.38268343236509	0
0.125	-0.70710678118655	0
0.1875	-0.92387953251129	0
0.25	-1.8369095307336e-016	0
0.3125	0.92387953251129	0
0.375	0.70710678118655	0
0.4375	-0.38268343236509	0
0.5	-1	0
0.5625	-0.38268343236509	0
0.625	0.70710678118655	0
0.6875	0.92387953251129	0
0.75	5.5107285922007e-016	0
0.8125	-0.92387953251129	0
0.875	-0.70710678118655	0
0.9375	0.38268343236509	0
1	1	0
1.0625	0.38268343236509	0
1.125	-0.70710678118655	0
1.1875	-0.92387953251129	0
1.25	-2.694811604767e-015	0
1.3125	0.92387953251129	0
1.375	0.70710678118655	0
1.4375	-0.38268343236509	0
1.5	-1	0
1.5625	-0.38268343236509	0
1.625	0.70710678118655	0
1.6875	0.92387953251129	0
1.75	-4.9052016788675e-016	0
1.8125	-0.92387953251129	0
1.875	-0.70710678118655	0
1.9375	0.38268343236509	0

# Here is the spectrum of the sampled data
0	-7.1478196625452e-015	0
3.1415926535898	-4.0366941200258e-015	2.2580154136442e-015
6.2831853071796	-1.0928524728617e-015	-2.7982677184014e-015
9.4247779607694	-5.7260210049966e-015	2.9012209847015e-015
12.566370614359	-1.9708321324784e-015	-2.4667217234908e-016
15.707963267949	-6.3385816067178e-015	4.2968652992441e-016
18.849555921539	16	3.1804853889428e-014
21.991148575129	2.6357729055941e-015	2.2086215016073e-016
25.132741228718	-1.7077268418819e-015	4.7739590058882e-015
28.274333882308	2.8594811445038e-015	4.4391671809344e-015
31.415926535898	2.6645352591004e-015	-4.2713228787239e-015
34.557519189488	4.7143777198289e-015	6.9895314759916e-015
37.699111843078	7.6067318654926e-015	1.9737738769012e-015
40.840704496667	3.1937730979402e-015	-5.8752580480747e-016
43.982297150257	7.4138310417759e-015	-6.8408401677614e-015
47.123889803847	2.6978918638732e-015	-3.5722712911583e-015
50.265482457437	-7.0852611971928e-016	0
53.407075111026	2.6978918638732e-015	3.5722712911584e-015
56.548667764616	2.8692093122619e-015	-3.079842779946e-015
59.690260418206	3.1937730979402e-015	5.8752580480749e-016
62.831853071796	7.6067318654926e-015	-1.9737738769012e-015
65.973445725386	4.714377719829e-015	-6.9895314759916e-015
69.115038378975	-5.3290705182008e-015	-7.2749965773777e-015
72.256631032565	2.8594811445038e-015	-4.4391671809344e-015
75.398223686155	-1.7077268418819e-015	-4.7739590058882e-015
78.539816339745	2.6357729055941e-015	-2.2086215016073e-016
81.681408993335	16	-1.6067876196235e-015
84.823001646924	-6.3385816067178e-015	-4.2968652992443e-016
87.964594300514	-1.9708321324784e-015	2.4667217234907e-016
91.106186954104	-5.7260210049966e-015	-2.9012209847015e-015
94.247779607694	5.7977473552525e-016	-5.9327961475939e-015
97.389372261284	-4.0366941200258e-015	-2.2580154136442e-015

# Please enter the number of seconds to sample cos3t  (or 0 to quit): # The sampled values are
# Time       	       f(t)
0	1	0
1	-0.98999249660045	0
2	0.96017028665037	0
3	-0.91113026188468	0
4	0.84385395873249	0
5	-0.75968791285882	0
6	0.66031670824408	0
7	-0.54772926022427	0

# Here is the spectrum of the sampled data
0	0.25580102205873	0
0.78539816339745	0.25025942092952	-0.11995966705982
1.5707963267949	0.22336696383805	-0.29082088735032
2.3561944901923	0.062032661605498	-0.71966682387239
3.1415926535898	6.6728808851952	0
3.9269908169872	0.062032661605496	0.71966682387239
4.7123889803847	0.22336696383805	0.29082088735032
5.4977871437821	0.25025942092952	0.11995966705982

# Please enter the number of seconds to sample cos3t  (or 0 to quit): # The sampled values are
# Time       	       f(t)
0	1	0
1	-0.98999249660045	0
2	0.96017028665037	0
3	-0.91113026188468	0
4	0.84385395873249	0
5	-0.75968791285882	0
6	0.66031670824408	0
7	-0.54772926022427	0
8	0.424179007337	0
9	-0.29213880873384	0
10	0.15425144988758	0
11	-0.013276747223059	0
12	-0.1279636896274	0
13	0.26664293235994	0
14	-0.39998531498835	0
15	0.52532198881773	0

# Here is the spectrum of the sampled data
0	0.79283183988832	0
0.39269908169872	0.79174840974728	-0.16397545286598
0.78539816339745	0.78813057815623	-0.34168807910746
1.1780972450962	0.78058138326771	-0.5519495729563
1.5707963267949	0.76531614664841	-0.82836200531889
1.9634954084936	0.73081275440336	-1.2475491268253
2.3561944901923	0.62844689830759	-2.0498687656719
2.7488935718911	0.00014142323367616	-4.7468456001746
3.1415926535898	6.2368129725832	0
3.5342917352885	0.00014142323366417	4.7468456001746
3.9269908169872	0.62844689830758	2.0498687656719
4.319689898686	0.73081275440335	1.2475491268253
4.7123889803847	0.7653161466484	0.82836200531889
5.1050880620834	0.78058138326771	0.5519495729563
5.4977871437821	0.78813057815623	0.34168807910746
5.8904862254809	0.79174840974727	0.16397545286598

# Please enter the number of seconds to sample cos3t  (or 0 to quit): # The sampled values are
# Time       	       f(t)
0	1	0
1	-0.98999249660045	0
2	0.96017028665037	0
3	-0.91113026188468	0
4	0.84385395873249	0
5	-0.75968791285882	0
6	0.66031670824408	0
7	-0.54772926022427	0
8	0.424179007337	0
9	-0.29213880873384	0
10	0.15425144988758	0
11	-0.013276747223059	0
12	-0.1279636896274	0
13	0.26664293235994	0
14	-0.39998531498835	0
15	0.52532198881773	0
16	-0.6401443394692	0
17	0.74215419681378	0
18	-0.82930983286315	0
19	0.89986682696919	0
20	-0.95241298041516	0
21	0.98589658158255	0
22	-0.99964745596635	0
23	0.99339037972227	0
24	-0.96725058827388	0
25	0.92175126972475	0
26	-0.85780309324499	0
27	0.77668598202163	0
28	-0.68002349558734	0
29	0.56975033426531	0
30	-0.44807361612917	0
31	0.3174287015197	0

# Here is the spectrum of the sampled data
0	0.62509071055828	0
0.19634954084936	0.62543074010927	-0.058426312483585
0.39269908169872	0.62647781390228	-0.11801498980385
0.58904862254809	0.62831755734981	-0.18002351423359
0.78539816339745	0.6311096827306	-0.24591677880543
0.98174770424681	0.63511922883223	-0.31751931811382
1.1780972450962	0.64077483148147	-0.39724435631176
1.3744467859455	0.64877818260206	-0.48846746869387
1.5707963267949	0.66031874110649	-0.5961815131653
1.7671458676443	0.67752402502457	-0.72823351490383
1.9634954084936	0.7044930435828	-0.8978752301567
2.159844949343	0.74997212731801	-1.1296521038447
2.3561944901923	0.83555089025205	-1.4753137573446
2.5525440310417	1.0280192400659	-2.0685089811502
2.7488935718911	1.6399632769042	-3.4163585177771
2.9452431127404	8.1279936144517	-12.505981804766
3.1415926535898	-6.3447767019852	0
3.3379421944392	8.1279936144517	12.505981804766
3.5342917352885	1.6399632769042	3.4163585177771
3.7306412761379	1.0280192400659	2.0685089811502
3.9269908169872	0.83555089025204	1.4753137573446
4.1233403578366	0.74997212731802	1.1296521038447
4.319689898686	0.70449304358279	0.89787523015669
4.5160394395353	0.67752402502457	0.72823351490382
4.7123889803847	0.66031874110649	0.5961815131653
4.9087385212341	0.64877818260206	0.48846746869387
5.1050880620834	0.64077483148147	0.39724435631176
5.3014376029328	0.63511922883222	0.31751931811382
5.4977871437821	0.6311096827306	0.24591677880543
5.6941366846315	0.62831755734981	0.18002351423359
5.8904862254809	0.62647781390228	0.11801498980385
6.0868357663302	0.62543074010926	0.058426312483579

# Please enter the number of seconds to sample cos3t  (or 0 to quit): # The sampled values are
# Time       	       f(t)
0	1	0
1	-0.98999249660045	0
2	0.96017028665037	0
3	-0.91113026188468	0
4	0.84385395873249	0
5	-0.75968791285882	0
6	0.66031670824408	0
7	-0.54772926022427	0
8	0.424179007337	0
9	-0.29213880873384	0
10	0.15425144988758	0
11	-0.013276747223059	0
12	-0.1279636896274	0
13	0.26664293235994	0
14	-0.39998531498835	0
15	0.52532198881773	0
16	-0.6401443394692	0
17	0.74215419681378	0
18	-0.82930983286315	0
19	0.89986682696919	0
20	-0.95241298041516	0
21	0.98589658158255	0
22	-0.99964745596635	0
23	0.99339037972227	0
24	-0.96725058827388	0
25	0.92175126972475	0
26	-0.85780309324499	0
27	0.77668598202163	0
28	-0.68002349558734	0
29	0.56975033426531	0
30	-0.44807361612917	0
31	0.3174287015197	0
32	-0.18043044929108	0
33	0.039820880393139	0
34	0.10158570369662	0
35	-0.2409590492362	0
36	0.37550959776701	0
37	-0.50254431914539	0
38	0.61952061255921	0
39	-0.72409719670047	0
40	0.81418097052656	0
41	-0.88796890669186	0
42	0.94398413915231	0
43	-0.98110552264939	0
44	0.99859007243999	0
45	-0.99608783514118	0
46	0.97364889304952	0
47	-0.93172236174352	0
48	0.87114740103234	0
49	-0.79313641916648	0
50	0.69925080647838	0
51	-0.59136968414432	0
52	0.47165229356134	0
53	-0.34249477911591	0
54	0.20648222933781	0
55	-0.066336936335624	0
56	-0.075136090898353	0
57	0.21510526876214	0
58	-0.35076911320913	0
59	0.47941231147032	0
60	-0.59846006905786	0
61	0.70552964429421	0
62	-0.79847803890303	0
63	0.87544489013428	0

# Here is the spectrum of the sampled data
0	0.95485965378366	0
0.098174770424681	0.95482912695046	-0.047767109557206
0.19634954084936	0.95473695041434	-0.095768853343497
0.29452431127404	0.95458131112969	-0.14424453285788
0.39269908169872	0.95435910242451	-0.19344298434091
0.49087385212341	0.95406579007119	-0.24362786163683
0.58904862254809	0.95369521095088	-0.29508358135492
0.68722339297277	0.95323928856681	-0.34812222948055
0.78539816339745	0.95268764207701	-0.4030918078347
0.88357293382213	0.95202705490435	-0.46038631540159
0.98174770424681	0.95124075366787	-0.52045832977588
1.0799224746715	0.95030742553078	-0.58383500329814
1.1780972450962	0.94919986781384	-0.65113875724817
1.2762720155209	0.94788311082579	-0.72311451091067
1.3744467859455	0.9463117713368	-0.80066612770671
1.4726215563702	0.94442625911043	-0.88490607885483
1.5707963267949	0.94214723502475	-0.97722442977169
1.6689710972196	0.93936733740698	-1.0793867059255
1.7671458676443	0.93593852080971	-1.1936760292418
1.8653206380689	0.93165212455564	-1.3231051258903
1.9634954084936	0.92620645653891	-1.4717423979444
2.0616701789183	0.91915203245427	-1.6452317085826
2.159844949343	0.90979483351553	-1.8516569344108
2.2580197197677	0.89701597947739	-2.1030557949552
2.3561944901923	0.8789128042236	-2.4182444665233
2.454369260617	0.85202308085979	-2.8285313769011
2.5525440310417	0.80945850256115	-3.3905739526373
2.6507188014664	0.73570462548725	-4.2199051241011
2.7488935718911	0.58863182754569	-5.5998868309503
2.8470683423158	0.20971975154084	-8.4967036807379
2.9452431127404	-1.75264463009	-20.499043777812
3.0434178831651	5.7908928897857	18.263092467809
3.1415926535898	3.4700122712727	0
3.2397674240145	5.7908928897858	-18.263092467809
3.3379421944392	-1.7526446300901	20.499043777812
3.4361169648638	0.20971975154082	8.4967036807379
3.5342917352885	0.58863182754567	5.5998868309503
3.6324665057132	0.73570462548723	4.2199051241011
3.7306412761379	0.80945850256113	3.3905739526373
3.8288160465626	0.85202308085978	2.8285313769011
3.9269908169872	0.8789128042236	2.4182444665233
4.0251655874119	0.89701597947738	2.1030557949552
4.1233403578366	0.90979483351552	1.8516569344108
4.2215151282613	0.91915203245426	1.6452317085826
4.319689898686	0.92620645653891	1.4717423979444
4.4178646691106	0.93165212455563	1.3231051258903
4.5160394395353	0.9359385208097	1.1936760292418
4.61421420996	0.93936733740698	1.0793867059256
4.7123889803847	0.94214723502475	0.97722442977169
4.8105637508094	0.94442625911042	0.88490607885483
4.9087385212341	0.94631177133679	0.80066612770671
5.0069132916587	0.94788311082579	0.72311451091067
5.1050880620834	0.94919986781384	0.65113875724817
5.2032628325081	0.95030742553077	0.58383500329814
5.3014376029328	0.95124075366787	0.52045832977589
5.3996123733575	0.95202705490435	0.46038631540159
5.4977871437821	0.95268764207701	0.40309180783471
5.5959619142068	0.9532392885668	0.34812222948055
5.6941366846315	0.95369521095087	0.29508358135493
5.7923114550562	0.95406579007119	0.24362786163683
5.8904862254809	0.95435910242451	0.19344298434091
5.9886609959055	0.95458131112968	0.14424453285788
6.0868357663302	0.95473695041433	0.095768853343504
6.1850105367549	0.95482912695048	0.047767109557203

# Please enter the number of seconds to sample cos3t  (or 0 to quit): # The sampled values are
# Time       	       f(t)
0	1	0
1	-0.98999249660045	0
2	0.96017028665037	0
3	-0.91113026188468	0
4	0.84385395873249	0
5	-0.75968791285882	0
6	0.66031670824408	0
7	-0.54772926022427	0
8	0.424179007337	0
9	-0.29213880873384	0
10	0.15425144988758	0
11	-0.013276747223059	0
12	-0.1279636896274	0
13	0.26664293235994	0
14	-0.39998531498835	0
15	0.52532198881773	0
16	-0.6401443394692	0
17	0.74215419681378	0
18	-0.82930983286315	0
19	0.89986682696919	0
20	-0.95241298041516	0
21	0.98589658158255	0
22	-0.99964745596635	0
23	0.99339037972227	0
24	-0.96725058827388	0
25	0.92175126972475	0
26	-0.85780309324499	0
27	0.77668598202163	0
28	-0.68002349558734	0
29	0.56975033426531	0
30	-0.44807361612917	0
31	0.3174287015197	0
32	-0.18043044929108	0
33	0.039820880393139	0
34	0.10158570369662	0
35	-0.2409590492362	0
36	0.37550959776701	0
37	-0.50254431914539	0
38	0.61952061255921	0
39	-0.72409719670047	0
40	0.81418097052656	0
41	-0.88796890669186	0
42	0.94398413915231	0
43	-0.98110552264939	0
44	0.99859007243999	0
45	-0.99608783514118	0
46	0.97364889304952	0
47	-0.93172236174352	0
48	0.87114740103234	0
49	-0.79313641916648	0
50	0.69925080647838	0
51	-0.59136968414432	0
52	0.47165229356134	0
53	-0.34249477911591	0
54	0.20648222933781	0
55	-0.066336936335624	0
56	-0.075136090898353	0
57	0.21510526876214	0
58	-0.35076911320913	0
59	0.47941231147032	0
60	-0.59846006905786	0
61	0.70552964429421	0
62	-0.79847803890303	0
63	0.87544489013428	0
64	-0.93488970593724	0
65	0.97562269791944	0
66	-0.99682859496943	0
67	0.99808296091356	0
68	-0.97936068960892	0
69	0.94103650744299	0
70	-0.88387747318237	0
71	0.80902762528643	0
72	-0.71798508396971	0
73	0.61257206631568	0
74	-0.4948984145894	0
75	0.36731936773025	0
76	-0.23238842122852	0
77	0.092806218895877	0
78	0.048633500538969	0
79	-0.18909982012986	0
80	0.32578130553515	0
81	-0.45594227589512	0
82	0.57697755850306	0
83	-0.68646463135462	0
84	0.78221210994227	0
85	-0.86230360783108	0
86	0.92513609314626	0
87	-0.96945197326701	0
88	0.99436426555141	0
89	-0.99937435030001	0
90	0.9843819506325	0
91	-0.94968713953017	0
92	0.8959843338731	0
93	-0.82434839568168	0
94	0.73621311874585	0
95	-0.63334253123272	0
96	0.51779558865081	0
97	-0.39188496384151	0
98	0.25813075881645	0
99	-0.11921006489862	0
100	-0.022096619278684	0
101	0.16296103947088	0
102	-0.30056379335008	0
103	0.43215076086182	0
104	-0.55508822795666	0
105	0.66691560039484	0
106	-0.76539465255669	0
107	0.84855432554362	0
108	-0.91473017793538	0
109	0.96259769959641	0
110	-0.99119882175521	0
111	0.99996109275731	0
112	-0.98870913568903	0
113	0.95766815854759	0
114	-0.90745944670153	0
115	0.83908792785983	0
116	-0.75392205843696	0
117	0.65366643388848	0
118	-0.54032767122137	0
119	0.41617424654101	0
120	-0.28369109148653	0
121	0.14552985730709	0
122	-0.0044558420441823	0
123	-0.13670735692754	0
124	0.27513435722086	0
125	-0.40805454148375	0
126	0.53280751132443	0
127	-0.64689633520333	0

# Here is the spectrum of the sampled data
0	0.14951278406297	0
0.049087385212341	0.14952703635069	-0.0031082279715687
0.098174770424681	0.14956986250719	-0.0062202610995952
0.14726215563702	0.14964147113132	-0.0093399233333091
0.19634954084936	0.14974221229668	-0.012471076406499
0.2454369260617	0.14987258121031	-0.015617639231112
0.29452431127404	0.1500332234268	-0.018783607902644
0.34361169648638	0.15022494171281	-0.021973076538979
0.39269908169872	0.15044870468888	-0.025190259189632
0.44178646691106	0.15070565741019	-0.028439513073181
0.49087385212341	0.15099713408837	-0.031725363426113
0.53996123733575	0.15132467320214	-0.035052530278415
0.58904862254809	0.151690035298	-0.038425957510226
0.63813600776043	0.15209522384543	-0.041850844591345
0.68722339297277	0.15254250958516	-0.045332681462527
0.73631077818511	0.15303445889872	-0.048877287087178
0.78539816339745	0.1535739668344	-0.052490852284818
0.83448554860979	0.15416429555488	-0.056179987559372
0.88357293382213	0.1548091191296	-0.05995177675654
0.93266031903447	0.15551257578869	-0.063813837532825
0.98174770424681	0.15627932899309	-0.067774389798247
1.0308350894592	0.15711463896996	-0.071842333514382
1.0799224746715	0.15802444672836	-0.076027337497754
1.1290098598838	0.15901547302753	-0.080339941209476
1.1780972450962	0.16009533534494	-0.084791671920183
1.2271846303085	0.16127268661735	-0.089395180147048
1.2762720155209	0.16255738045164	-0.094164396892892
1.3253594007332	0.16396066868287	-0.099114717013262
1.3744467859455	0.16549543867723	-0.10426321404216
1.4235341711579	0.16717649974732	-0.10962889308521
1.4726215563702	0.16902093061895	-0.11523299002433
1.5217089415826	0.17104850326837	-0.12109932738741
1.5707963267949	0.1732822029335	-0.1272547399755
1.6198837120072	0.17574887009001	-0.13372958692964
1.6689710972196	0.17847999826632	-0.1405583716605
1.7180584824319	0.1815127325718	-0.14778049738842
1.7671458676443	0.184891128947	-0.15544119455922
1.8162332528566	0.18866775518908	-0.16359266799919
1.8653206380689	0.192905744414	-0.17229552764534
1.9144080232813	0.1976814537979	-0.18162058896111
1.9634954084936	0.20308794235557	-0.19165116062959
2.012582793706	0.20923957077892	-0.20248598226716
2.0616701789183	0.21627815927168	-0.21424304069439
2.1107575641306	0.22438134068497	-0.22706459086352
2.159844949343	0.23377405720014	-0.24112385500569
2.2089323345553	0.24474463910022	-0.2566341012156
2.2580197197677	0.25766769538801	-0.27386116247987
2.30710710498	0.273037356171	-0.29314104085133
2.3561944901923	0.29151663976709	-0.31490521666197
2.4052818754047	0.31401264952841	-0.33971796701455
2.454369260617	0.34179449090376	-0.36833301943158
2.5034566458294	0.37668450285257	-0.40178252916805
2.5525440310417	0.42138086308168	-0.44152253419552
2.601631416254	0.48002799860248	-0.48968241974448
2.6507188014664	0.55928434398038	-0.54951852709438
2.6998061866787	0.67046793982827	-0.62630132008541
2.7488935718911	0.83427803361828	-0.72922055656276
2.7979809571034	1.0925264748198	-0.87602012011968
2.8470683423158	1.5427600322428	-1.106445750434
2.8961557275281	2.4719072744349	-1.533518888891
2.9452431127404	5.211948551612	-2.6693975367577
2.9943304979528	57.513686604652	-22.653908749282
3.0434178831651	-8.8928025957544	2.378230642149
3.0925052683775	-5.1935479585291	0.70221909698507
3.1415926535898	-4.5532677978402	0
3.1906800388021	-5.1935479585291	-0.70221909698512
3.2397674240145	-8.8928025957544	-2.3782306421491
3.2888548092268	57.513686604652	22.653908749282
3.3379421944392	5.211948551612	2.6693975367577
3.3870295796515	2.4719072744349	1.533518888891
3.4361169648638	1.5427600322428	1.106445750434
3.4852043500762	1.0925264748198	0.87602012011969
3.5342917352885	0.83427803361828	0.72922055656276
3.5833791205009	0.67046793982828	0.6263013200854
3.6324665057132	0.55928434398038	0.54951852709438
3.6815538909255	0.48002799860251	0.48968241974449
3.7306412761379	0.42138086308168	0.44152253419552
3.7797286613502	0.3766845028526	0.40178252916804
3.8288160465626	0.34179449090375	0.36833301943158
3.8779034317749	0.31401264952842	0.33971796701455
3.9269908169872	0.29151663976709	0.31490521666197
3.9760782021996	0.27303735617101	0.29314104085132
4.0251655874119	0.257667695388	0.27386116247987
4.0742529726243	0.24474463910025	0.2566341012156
4.1233403578366	0.23377405720015	0.24112385500569
4.1724277430489	0.22438134068498	0.22706459086351
4.2215151282613	0.21627815927168	0.21424304069439
4.2706025134736	0.20923957077893	0.20248598226716
4.319689898686	0.20308794235557	0.19165116062959
4.3687772838983	0.1976814537979	0.1816205889611
4.4178646691106	0.192905744414	0.17229552764534
4.466952054323	0.18866775518909	0.16359266799918
4.5160394395353	0.184891128947	0.15544119455921
4.5651268247477	0.18151273257182	0.14778049738838
4.61421420996	0.17847999826632	0.14055837166051
4.6633015951723	0.17574887009001	0.13372958692964
4.7123889803847	0.1732822029335	0.1272547399755
4.761476365597	0.17104850326837	0.12109932738741
4.8105637508094	0.16902093061894	0.11523299002433
4.8596511360217	0.16717649974737	0.1096288930852
4.9087385212341	0.16549543867723	0.10426321404216
4.9578259064464	0.16396066868287	0.099114717013254
5.0069132916587	0.16255738045164	0.094164396892893
5.0560006768711	0.16127268661735	0.089395180147045
5.1050880620834	0.16009533534494	0.084791671920183
5.1541754472958	0.15901547302754	0.080339941209473
5.2032628325081	0.15802444672836	0.076027337497755
5.2523502177204	0.15711463896997	0.071842333514377
5.3014376029328	0.15627932899309	0.067774389798246
5.3505249881451	0.15551257578869	0.063813837532814
5.3996123733575	0.1548091191296	0.059951776756542
5.4486997585698	0.15416429555488	0.056179987559369
5.4977871437821	0.1535739668344	0.052490852284818
5.5468745289945	0.15303445889872	0.048877287087175
5.5959619142068	0.15254250958516	0.045332681462529
5.6450492994192	0.15209522384543	0.041850844591333
5.6941366846315	0.151690035298	0.038425957510225
5.7432240698438	0.15132467320214	0.035052530278409
5.7923114550562	0.15099713408837	0.031725363426114
5.8413988402685	0.15070565741019	0.028439513073179
5.8904862254809	0.15044870468888	0.025190259189631
5.9395736106932	0.15022494171281	0.021973076538976
5.9886609959055	0.1500332234268	0.018783607902644
6.0377483811179	0.14987258121032	0.015617639231103
6.0868357663302	0.14974221229668	0.012471076406493
6.1359231515426	0.1496414711313	0.0093399233332487
6.1850105367549	0.14956986250719	0.0062202610996047
6.2340979219672	0.14952703635069	0.00310822797157

# Please enter the number of seconds to sample cos3t  (or 0 to quit): # The sampled values are
# Time       	       f(t)

# Here is the spectrum of the sampled data
Press any key to continue