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# Fourier Analysis of NNAN (NATURALNANO INC)

NNAN (NATURALNANO INC) appears to have interesting cyclic behaviour every 64 weeks (315.6747*cosine), 58 weeks (286.8384*sine), and 46 weeks (193.2786*cosine).

NNAN (NATURALNANO INC) has an average price of 639.35 (topmost row, frequency = 0).

Click on the checkboxes shown on the right to see how the various frequencies contribute to the graph. Look for large magnitude coefficients (sine or cosine), as these are associated with frequencies which contribute most to the associated stock plot. If you find a large magnitude coefficient which dramatically changes the graph, look at the associated "Period" in weeks, as you may have found a significant recurring cycle for the stock of interest.

## Fourier Analysis

Using data from 12/14/2004 to 3/13/2017 for NNAN (NATURALNANO INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0639.3499   0
1825.9503 853.0922 (1*2π)/640640 weeks
241.83239 1,007.936 (2*2π)/640320 weeks
3-493.342 670.9609 (3*2π)/640213 weeks
4-644.1122 202.247 (4*2π)/640160 weeks
5-544.8578 -157.5466 (5*2π)/640128 weeks
6-326.6348 -403.4882 (6*2π)/640107 weeks
75.13074 -484.8236 (7*2π)/64091 weeks
8288.4796 -330.4666 (8*2π)/64080 weeks
9389.9615 -68.57705 (9*2π)/64071 weeks
10315.6747 168.6748 (10*2π)/64064 weeks
11132.5926 286.8384 (11*2π)/64058 weeks
12-47.16617 265.9823 (12*2π)/64053 weeks
13-156.2851 169.8418 (13*2π)/64049 weeks
14-193.2786 49.93386 (14*2π)/64046 weeks
15-156.8795 -58.1346 (15*2π)/64043 weeks
16-76.09655 -107.6523 (16*2π)/64040 weeks
17-8.6737 -102.7679 (17*2π)/64038 weeks
1835.52278 -77.98968 (18*2π)/64036 weeks
1959.46568 -43.56991 (19*2π)/64034 weeks
2064.75429 -8.00121 (20*2π)/64032 weeks
2152.36478 20.14997 (21*2π)/64030 weeks
2234.44761 34.69905 (22*2π)/64029 weeks
2314.02735 39.32656 (23*2π)/64028 weeks
241.53738 28.44611 (24*2π)/64027 weeks
257.61188 27.76542 (25*2π)/64026 weeks
26-3.57187 42.83749 (26*2π)/64025 weeks
27-29.42013 37.57485 (27*2π)/64024 weeks
28-43.21111 14.68082 (28*2π)/64023 weeks
29-38.66446 -10.44961 (29*2π)/64022 weeks
30-20.95014 -23.79784 (30*2π)/64021 weeks
31-4.64057 -25.05157 (31*2π)/64021 weeks
3210.60955 -18.63688 (32*2π)/64020 weeks
3313.79505 -3.10234 (33*2π)/64019 weeks
347.10887 2.48192 (34*2π)/64019 weeks
353.35724 3.4616 (35*2π)/64018 weeks
36-1.42023 -.34119 (36*2π)/64018 weeks
375.61416 -9.57025 (37*2π)/64017 weeks
3823.12086 -.85744 (38*2π)/64017 weeks
3920.21261 24.51115 (39*2π)/64016 weeks
40-5.47922 33.81943 (40*2π)/64016 weeks
41-23.58846 18.25952 (41*2π)/64016 weeks
42-22.06808 3.94033 (42*2π)/64015 weeks
43-21.92709 -.45834 (43*2π)/64015 weeks
44-26.18193 -11.69837 (44*2π)/64015 weeks
45-17.76762 -30.58665 (45*2π)/64014 weeks
465.52628 -37.89009 (46*2π)/64014 weeks
4727.04718 -26.86473 (47*2π)/64014 weeks
4834.2885 -6.44715 (48*2π)/64013 weeks
4929.02221 8.76877 (49*2π)/64013 weeks
5021.93658 17.17401 (50*2π)/64013 weeks
5113.98426 23.94685 (51*2π)/64013 weeks
523.49224 27.56059 (52*2π)/64012 weeks
53-8.80975 28.04831 (53*2π)/64012 weeks
54-23.46997 19.81322 (54*2π)/64012 weeks
55-27.79779 2.59773 (55*2π)/64012 weeks
56-22.35046 -9.5791 (56*2π)/64011 weeks
57-14.93422 -18.1493 (57*2π)/64011 weeks
58-3.78904 -23.15119 (58*2π)/64011 weeks
598.60344 -22.15483 (59*2π)/64011 weeks
6018.9518 -14.75799 (60*2π)/64011 weeks
6123.88133 -3.80346 (61*2π)/64010 weeks
6223.66893 8.4946 (62*2π)/64010 weeks
6316.57074 19.74821 (63*2π)/64010 weeks
643.79775 25.80139 (64*2π)/64010 weeks
65-10.77332 23.01999 (65*2π)/64010 weeks
66-21.41082 12.49464 (66*2π)/64010 weeks
67-23.62566 -4.65173 (67*2π)/64010 weeks
68-10.32471 -17.88094 (68*2π)/6409 weeks
695.39505 -13.13726 (69*2π)/6409 weeks
706.84915 -1.37143 (70*2π)/6409 weeks
71-1.56357 2.93566 (71*2π)/6409 weeks
72-9.21853 -5.17687 (72*2π)/6409 weeks
73-3.37936 -18.44971 (73*2π)/6409 weeks
7412.66225 -21.81701 (74*2π)/6409 weeks
7528.57395 -12.76761 (75*2π)/6409 weeks
7635.33888 8.16898 (76*2π)/6408 weeks
7723.71286 28.37967 (77*2π)/6408 weeks
784.41312 34.31112 (78*2π)/6408 weeks
79-12.87453 30.46473 (79*2π)/6408 weeks
80-25.39762 17.74323 (80*2π)/6408 weeks
81-28.67215 2.4189 (81*2π)/6408 weeks
82-26.04653 -13.07991 (82*2π)/6408 weeks
83-13.69625 -26.89677 (83*2π)/6408 weeks
845.68151 -29.84359 (84*2π)/6408 weeks
8521.7148 -21.1344 (85*2π)/6408 weeks
8631.1867 -5.57472 (86*2π)/6407 weeks
8728.24883 14.54929 (87*2π)/6407 weeks
8812.83835 24.35169 (88*2π)/6407 weeks
891.44418 22.78544 (89*2π)/6407 weeks
90-5.97182 20.9949 (90*2π)/6407 weeks
91-14.16504 18.2865 (91*2π)/6407 weeks
92-25.39863 10.09348 (92*2π)/6407 weeks
93-27.44539 -10.6329 (93*2π)/6407 weeks
94-10.81566 -23.93637 (94*2π)/6407 weeks
954.73049 -20.83639 (95*2π)/6407 weeks
9612.72396 -13.93448 (96*2π)/6407 weeks
9716.92342 -5.20394 (97*2π)/6407 weeks
9816.04963 2.56537 (98*2π)/6407 weeks
9914.32095 9.53019 (99*2π)/6406 weeks
1006.52298 16.82919 (100*2π)/6406 weeks
101-4.6549 14.83256 (101*2π)/6406 weeks
102-9.19264 7.72999 (102*2π)/6406 weeks
103-9.76054 .96103 (103*2π)/6406 weeks
104-6.4641 -4.20518 (104*2π)/6406 weeks
105-2.64971 -7.55675 (105*2π)/6406 weeks
1065.96574 -9.4159 (106*2π)/6406 weeks
10714.62714 -.62563 (107*2π)/6406 weeks
10811.04979 12.3717 (108*2π)/6406 weeks
109-.70888 16.87089 (109*2π)/6406 weeks
110-11.89244 12.41339 (110*2π)/6406 weeks
111-16.95664 -.02949 (111*2π)/6406 weeks
112-10.33755 -11.18437 (112*2π)/6406 weeks
113.06976 -14.29156 (113*2π)/6406 weeks
11410.57257 -10.61335 (114*2π)/6406 weeks
11514.85652 .38838 (115*2π)/6406 weeks
1169.77653 8.23828 (116*2π)/6406 weeks
1174.87015 10.47924 (117*2π)/6405 weeks
118.22208 11.51127 (118*2π)/6405 weeks
119-3.7083 11.26729 (119*2π)/6405 weeks
120-9.79474 11.04197 (120*2π)/6405 weeks
121-17.36262 3.9551 (121*2π)/6405 weeks
122-16.50853 -8.18107 (122*2π)/6405 weeks
123-8.5823 -15.72629 (123*2π)/6405 weeks
1242.2605 -17.77357 (124*2π)/6405 weeks
12511.05776 -11.44968 (125*2π)/6405 weeks
12612.41044 -4.88237 (126*2π)/6405 weeks
12713.90539 -.25574 (127*2π)/6405 weeks
12813.03053 6.40893 (128*2π)/6405 weeks
1299.62038 11.67557 (129*2π)/6405 weeks
1302.97803 16.74547 (130*2π)/6405 weeks
131-7.54059 15.65493 (131*2π)/6405 weeks
132-14.00322 8.12853 (132*2π)/6405 weeks
133-15.25249 -.84572 (133*2π)/6405 weeks
134-10.62329 -9.2446 (134*2π)/6405 weeks
135-2.06906 -10.72204 (135*2π)/6405 weeks
136.85884 -7.64768 (136*2π)/6405 weeks
1372.62453 -8.74855 (137*2π)/6405 weeks
1388.35125 -7.73287 (138*2π)/6405 weeks
13912.07115 -2.3715 (139*2π)/6405 weeks
14012.72555 4.38299 (140*2π)/6405 weeks
1418.46226 11.10569 (141*2π)/6405 weeks
1421.97473 13.45168 (142*2π)/6405 weeks
143-5.83743 13.37286 (143*2π)/6404 weeks
144-11.93158 5.99556 (144*2π)/6404 weeks
145-9.54812 -.55675 (145*2π)/6404 weeks
146-7.89944 -1.54378 (146*2π)/6404 weeks
147-8.80479 -4.44628 (147*2π)/6404 weeks
148-7.26479 -8.9845 (148*2π)/6404 weeks
149-3.2191 -13.96547 (149*2π)/6404 weeks
1506.00341 -16.31201 (150*2π)/6404 weeks
15115.7024 -11.08159 (151*2π)/6404 weeks
15220.79479 -.22314 (152*2π)/6404 weeks
15317.5352 13.36624 (153*2π)/6404 weeks
1543.76376 20.93998 (154*2π)/6404 weeks
155-9.5328 15.49907 (155*2π)/6404 weeks
156-14.68729 5.03098 (156*2π)/6404 weeks
157-11.97289 -5.47754 (157*2π)/6404 weeks
158-4.21249 -9.74922 (158*2π)/6404 weeks
1592.58849 -8.53468 (159*2π)/6404 weeks
1605.96852 -3.7175 (160*2π)/6404 weeks
1614.65001 .09033 (161*2π)/6404 weeks
1622.62521 .48752 (162*2π)/6404 weeks
1632.66992 -.03411 (163*2π)/6404 weeks
1643.0743 .65302 (164*2π)/6404 weeks
1652.7997 1.29256 (165*2π)/6404 weeks
1662.41548 1.47139 (166*2π)/6404 weeks
1673.42887 1.69732 (167*2π)/6404 weeks
1683.50079 4.92121 (168*2π)/6404 weeks
169-.34273 6.65808 (169*2π)/6404 weeks
170-4.25599 5.16365 (170*2π)/6404 weeks
171-6.13578 .82258 (171*2π)/6404 weeks
172-3.67735 -2.68387 (172*2π)/6404 weeks
173-1.46825 -2.4393 (173*2π)/6404 weeks
174-1.56 -2.95566 (174*2π)/6404 weeks
175.63506 -4.38205 (175*2π)/6404 weeks
1762.69597 -3.08231 (176*2π)/6404 weeks
1773.57319 -2.26708 (177*2π)/6404 weeks
1784.63422 .29476 (178*2π)/6404 weeks
1791.31081 1.88496 (179*2π)/6404 weeks
180.97509 -2.25966 (180*2π)/6404 weeks
1815.59736 -1.61764 (181*2π)/6404 weeks
1826.2626 1.85982 (182*2π)/6404 weeks
1836.44603 4.87068 (183*2π)/6403 weeks
1843.52572 9.7394 (184*2π)/6403 weeks
185-3.86369 10.74028 (185*2π)/6403 weeks
186-10.00393 5.98646 (186*2π)/6403 weeks
187-11.81845 -2.29692 (187*2π)/6403 weeks
188-6.65688 -9.59536 (188*2π)/6403 weeks
189.17282 -10.80078 (189*2π)/6403 weeks
1905.9538 -10.27248 (190*2π)/6403 weeks
19112.39803 -5.62074 (191*2π)/6403 weeks
19213.73326 2.2557 (192*2π)/6403 weeks
19311.07327 9.43423 (193*2π)/6403 weeks
1943.3501 13.96821 (194*2π)/6403 weeks
195-4.21261 10.66274 (195*2π)/6403 weeks
196-5.08583 6.23178 (196*2π)/6403 weeks
197-6.06004 5.82417 (197*2π)/6403 weeks
198-9.62182 3.19959 (198*2π)/6403 weeks
199-10.64913 -3.08587 (199*2π)/6403 weeks
200-6.1466 -8.57981 (200*2π)/6403 weeks
201-.79179 -8.08997 (201*2π)/6403 weeks
202-.16344 -8.13302 (202*2π)/6403 weeks
2035.6091 -11.35244 (203*2π)/6403 weeks
20413.861 -5.10858 (204*2π)/6403 weeks
20513.0224 3.84709 (205*2π)/6403 weeks
2069.22766 9.05241 (206*2π)/6403 weeks
2073.16345 12.07261 (207*2π)/6403 weeks
208-2.58273 10.75398 (208*2π)/6403 weeks
209-6.356 8.65695 (209*2π)/6403 weeks
210-10.43825 4.2543 (210*2π)/6403 weeks
211-9.89102 -1.99307 (211*2π)/6403 weeks
212-8.0941 -5.44587 (212*2π)/6403 weeks
213-4.6299 -10.34133 (213*2π)/6403 weeks
2142.2874 -10.75855 (214*2π)/6403 weeks
2155.9209 -9.21342 (215*2π)/6403 weeks
21612.9157 -7.14437 (216*2π)/6403 weeks
21716.599 4.05831 (217*2π)/6403 weeks
2189.29371 12.67247 (218*2π)/6403 weeks
2191.24038 13.89817 (219*2π)/6403 weeks
220-6.16486 11.74769 (220*2π)/6403 weeks
221-9.96677 4.38507 (221*2π)/6403 weeks
222-7.05886 -.57288 (222*2π)/6403 weeks
223-5.0561 -1.58269 (223*2π)/6403 weeks
224-3.72568 -1.72741 (224*2π)/6403 weeks
225-5.01529 -2.3562 (225*2π)/6403 weeks
226-3.89585 -6.56518 (226*2π)/6403 weeks
227.86677 -7.24311 (227*2π)/6403 weeks
2282.79862 -5.79116 (228*2π)/6403 weeks
2295.65583 -5.32604 (229*2π)/6403 weeks
2308.04079 -1.85234 (230*2π)/6403 weeks
2318.64678 1.52639 (231*2π)/6403 weeks
2328.34717 6.99483 (232*2π)/6403 weeks
2331.81502 11.80475 (233*2π)/6403 weeks
234-5.09731 9.3072 (234*2π)/6403 weeks
235-8.60862 6.22938 (235*2π)/6403 weeks
236-12.64631 .02232 (236*2π)/6403 weeks
237-9.81701 -8.74566 (237*2π)/6403 weeks
238-2.68427 -12.56668 (238*2π)/6403 weeks
2395.50694 -12.17583 (239*2π)/6403 weeks
24011.47578 -5.28233 (240*2π)/6403 weeks
24110.13732 1.658 (241*2π)/6403 weeks
2427.49332 5.95705 (242*2π)/6403 weeks
2431.23841 8.5375 (243*2π)/6403 weeks
244-3.95343 4.24233 (244*2π)/6403 weeks
245-2.92662 -.54425 (245*2π)/6403 weeks
246.00996 -2.15125 (246*2π)/6403 weeks
2473.72402 -1.12792 (247*2π)/6403 weeks
2484.79687 4.00886 (248*2π)/6403 weeks
249.27717 8.1182 (249*2π)/6403 weeks
250-6.71969 7.50002 (250*2π)/6403 weeks
251-11.95485 .43385 (251*2π)/6403 weeks
252-8.92781 -8.88555 (252*2π)/6403 weeks
253-.8583 -11.5794 (253*2π)/6403 weeks
2545.22942 -9.56723 (254*2π)/6403 weeks
2559.32821 -4.64092 (255*2π)/6403 weeks
2568.66459 .83972 (256*2π)/6403 weeks
2576.45975 4.0873 (257*2π)/6402 weeks
2582.37499 5.7484 (258*2π)/6402 weeks
259-.20565 3.08302 (259*2π)/6402 weeks
2601.48172 2.61741 (260*2π)/6402 weeks
261-.04103 4.65646 (261*2π)/6402 weeks
262-2.23748 4.61731 (262*2π)/6402 weeks
263-6.24379 3.92482 (263*2π)/6402 weeks
264-8.75491 -2.21945 (264*2π)/6402 weeks
265-5.09402 -7.09576 (265*2π)/6402 weeks
266-1.7639 -8.55526 (266*2π)/6402 weeks
2672.57893 -10.3426 (267*2π)/6402 weeks
2688.22847 -8.60207 (268*2π)/6402 weeks
26912.4335 -4.68971 (269*2π)/6402 weeks
27015.24722 2.51961 (270*2π)/6402 weeks
27111.66554 11.28018 (271*2π)/6402 weeks
2723.41092 14.92119 (272*2π)/6402 weeks
273-4.18887 13.30519 (273*2π)/6402 weeks
274-8.47928 8.6809 (274*2π)/6402 weeks
275-10.68518 5.73219 (275*2π)/6402 weeks
276-15.56059 .03592 (276*2π)/6402 weeks
277-13.89508 -11.64018 (277*2π)/6402 weeks
278-3.39048 -18.34514 (278*2π)/6402 weeks
2798.18452 -17.03919 (279*2π)/6402 weeks
28017.01476 -8.64886 (280*2π)/6402 weeks
28117.30642 3.25984 (281*2π)/6402 weeks
28211.35737 10.48026 (282*2π)/6402 weeks
2833.89983 14.23661 (283*2π)/6402 weeks
284-5.76543 12.21733 (284*2π)/6402 weeks
285-9.75124 3.70434 (285*2π)/6402 weeks
286-6.60607 -3.1924 (286*2π)/6402 weeks
287.5445 -4.47801 (287*2π)/6402 weeks
2883.26017 3.03042 (288*2π)/6402 weeks
289-5.58044 6.17177 (289*2π)/6402 weeks
290-10.60713 -2.44283 (290*2π)/6402 weeks
291-6.7588 -10.03239 (291*2π)/6402 weeks
292.48336 -14.281 (292*2π)/6402 weeks
29310.46788 -12.41276 (293*2π)/6402 weeks
29416.12812 -4.4416 (294*2π)/6402 weeks
29516.92296 4.88992 (295*2π)/6402 weeks
29611.48699 14.01323 (296*2π)/6402 weeks
2971.75998 16.98391 (297*2π)/6402 weeks
298-7.07228 14.89859 (298*2π)/6402 weeks
299-14.17249 7.272 (299*2π)/6402 weeks
300-12.39189 -2.91148 (300*2π)/6402 weeks
301-7.00999 -5.29395 (301*2π)/6402 weeks
302-5.89143 -7.39479 (302*2π)/6402 weeks
303-.51801 -10.91458 (303*2π)/6402 weeks
3046.13737 -8.40005 (304*2π)/6402 weeks
3058.67854 -3.20541 (305*2π)/6402 weeks
3067.72492 1.54539 (306*2π)/6402 weeks
3075.19854 3.13247 (307*2π)/6402 weeks
3085.31179 4.62563 (308*2π)/6402 weeks
3092.10946 8.67663 (309*2π)/6402 weeks
310-4.36794 7.5528 (310*2π)/6402 weeks
311-6.87768 2.31432 (311*2π)/6402 weeks
312-4.91355 -2.60672 (312*2π)/6402 weeks
313.79717 -2.51481 (313*2π)/6402 weeks
314-.30099 3.8497 (314*2π)/6402 weeks
315-7.94083 1.38583 (315*2π)/6402 weeks
316-7.00444 -6.84125 (316*2π)/6402 weeks
317-.99459 -10.1439 (317*2π)/6402 weeks
3185.38729 -9.22597 (318*2π)/6402 weeks
3199.16737 -4.15292 (319*2π)/6402 weeks
3209.08633   (320*2π)/6402 weeks
3219.16737 4.15292 (321*2π)/6402 weeks
3225.38729 9.22597 (322*2π)/6402 weeks
323-.99459 10.1439 (323*2π)/6402 weeks
324-7.00444 6.84125 (324*2π)/6402 weeks
325-7.94083 -1.38583 (325*2π)/6402 weeks
326-.30099 -3.8497 (326*2π)/6402 weeks
327.79717 2.51481 (327*2π)/6402 weeks
328-4.91355 2.60672 (328*2π)/6402 weeks
329-6.87768 -2.31432 (329*2π)/6402 weeks
330-4.36794 -7.5528 (330*2π)/6402 weeks
3312.10946 -8.67663 (331*2π)/6402 weeks
3325.31179 -4.62563 (332*2π)/6402 weeks
3335.19854 -3.13247 (333*2π)/6402 weeks
3347.72492 -1.54539 (334*2π)/6402 weeks
3358.67854 3.20541 (335*2π)/6402 weeks
3366.13737 8.40005 (336*2π)/6402 weeks
337-.51801 10.91458 (337*2π)/6402 weeks
338-5.89143 7.39479 (338*2π)/6402 weeks
339-7.00999 5.29395 (339*2π)/6402 weeks
340-12.39189 2.91148 (340*2π)/6402 weeks
341-14.17249 -7.272 (341*2π)/6402 weeks
342-7.07228 -14.89859 (342*2π)/6402 weeks
3431.75998 -16.98391 (343*2π)/6402 weeks
34411.48699 -14.01323 (344*2π)/6402 weeks
34516.92296 -4.88992 (345*2π)/6402 weeks
34616.12812 4.4416 (346*2π)/6402 weeks
34710.46788 12.41276 (347*2π)/6402 weeks
348.48336 14.281 (348*2π)/6402 weeks
349-6.7588 10.03239 (349*2π)/6402 weeks
350-10.60713 2.44283 (350*2π)/6402 weeks
351-5.58044 -6.17177 (351*2π)/6402 weeks
3523.26017 -3.03042 (352*2π)/6402 weeks
353.5445 4.47801 (353*2π)/6402 weeks
354-6.60607 3.1924 (354*2π)/6402 weeks
355-9.75124 -3.70434 (355*2π)/6402 weeks
356-5.76543 -12.21733 (356*2π)/6402 weeks
3573.89983 -14.23661 (357*2π)/6402 weeks
35811.35737 -10.48026 (358*2π)/6402 weeks
35917.30642 -3.25984 (359*2π)/6402 weeks
36017.01476 8.64886 (360*2π)/6402 weeks
3618.18452 17.03919 (361*2π)/6402 weeks
362-3.39048 18.34514 (362*2π)/6402 weeks
363-13.89508 11.64018 (363*2π)/6402 weeks
364-15.56059 -.03592 (364*2π)/6402 weeks
365-10.68518 -5.73219 (365*2π)/6402 weeks
366-8.47928 -8.6809 (366*2π)/6402 weeks
367-4.18887 -13.30519 (367*2π)/6402 weeks
3683.41092 -14.92119 (368*2π)/6402 weeks
36911.66554 -11.28018 (369*2π)/6402 weeks
37015.24722 -2.51961 (370*2π)/6402 weeks
37112.4335 4.68971 (371*2π)/6402 weeks
3728.22847 8.60207 (372*2π)/6402 weeks
3732.57893 10.3426 (373*2π)/6402 weeks
374-1.7639 8.55526 (374*2π)/6402 weeks
375-5.09402 7.09576 (375*2π)/6402 weeks
376-8.75491 2.21945 (376*2π)/6402 weeks
377-6.24379 -3.92482 (377*2π)/6402 weeks
378-2.23748 -4.61731 (378*2π)/6402 weeks
379-.04103 -4.65646 (379*2π)/6402 weeks
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