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# Fourier Analysis of CORN (Teucrium Corn Fund)

CORN (Teucrium Corn Fund) appears to have interesting cyclic behaviour every 37 weeks (.9605*sine), 27 weeks (.6961*sine), and 41 weeks (.5037*sine).

CORN (Teucrium Corn Fund) has an average price of 30.45 (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.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

## Fourier Analysis

Using data from 6/9/2010 to 4/23/2018 for CORN (Teucrium Corn Fund), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
030.45347   0
1-1.76236 13.06659 (1*2π)/412412 weeks
2-2.69886 2.43134 (2*2π)/412206 weeks
3-.12878 2.02345 (3*2π)/412137 weeks
4-1.56513 2.17339 (4*2π)/412103 weeks
5-2.09513 .1262 (5*2π)/41282 weeks
6.24854 -.59832 (6*2π)/41269 weeks
7.27044 .83407 (7*2π)/41259 weeks
8.28503 .60097 (8*2π)/41252 weeks
9-.86117 .28437 (9*2π)/41246 weeks
10.49301 -.50369 (10*2π)/41241 weeks
11-.21382 .9605 (11*2π)/41237 weeks
12.04034 .03332 (12*2π)/41234 weeks
13-.36527 -.22251 (13*2π)/41232 weeks
14.4853 .00735 (14*2π)/41229 weeks
15-.25586 .69615 (15*2π)/41227 weeks
16-.37765 .25052 (16*2π)/41226 weeks
17-.27969 -.39081 (17*2π)/41224 weeks
18.31807 -.37943 (18*2π)/41223 weeks
19.2356 .46267 (19*2π)/41222 weeks
20-.12344 .13677 (20*2π)/41221 weeks
21.16085 -.19354 (21*2π)/41220 weeks
22.07447 .05282 (22*2π)/41219 weeks
23-.03119 .18388 (23*2π)/41218 weeks
24-.21231 .11202 (24*2π)/41217 weeks
25.24631 -.05661 (25*2π)/41216 weeks
26.38699 -.01477 (26*2π)/41216 weeks
27-.04903 .5528 (27*2π)/41215 weeks
28-.0476 .17544 (28*2π)/41215 weeks
29.00214 .07658 (29*2π)/41214 weeks
30-.08198 .33247 (30*2π)/41214 weeks
31-.1876 -.06583 (31*2π)/41213 weeks
32-.02458 -.00105 (32*2π)/41213 weeks
33.07118 -.0058 (33*2π)/41212 weeks
34.22089 .08241 (34*2π)/41212 weeks
35-.22674 .19178 (35*2π)/41212 weeks
36-.09868 .10808 (36*2π)/41211 weeks
37-.00165 -.06917 (37*2π)/41211 weeks
38-.02783 -.04027 (38*2π)/41211 weeks
39.17779 -.01532 (39*2π)/41211 weeks
40.07966 .09418 (40*2π)/41210 weeks
41.10253 .16074 (41*2π)/41210 weeks
42-.03325 .22409 (42*2π)/41210 weeks
43-.15312 -.06429 (43*2π)/41210 weeks
44-.15244 -.16508 (44*2π)/4129 weeks
45.37624 -.05581 (45*2π)/4129 weeks
46.07598 .14182 (46*2π)/4129 weeks
47.11605 .15321 (47*2π)/4129 weeks
48-.07952 .0962 (48*2π)/4129 weeks
49.02862 .17861 (49*2π)/4128 weeks
50-.03654 .09327 (50*2π)/4128 weeks
51.03479 .0826 (51*2π)/4128 weeks
52-.08727 .08939 (52*2π)/4128 weeks
53-.11181 .05868 (53*2π)/4128 weeks
54-.04682 -.06928 (54*2π)/4128 weeks
55-.17135 -.09106 (55*2π)/4127 weeks
56.20234 -.22839 (56*2π)/4127 weeks
57.20285 .03542 (57*2π)/4127 weeks
58.07966 .23653 (58*2π)/4127 weeks
59-.00618 .14568 (59*2π)/4127 weeks
60-.07638 -.05216 (60*2π)/4127 weeks
61-.01484 .15305 (61*2π)/4127 weeks
62-.07185 -.13292 (62*2π)/4127 weeks
63.18096 -.10393 (63*2π)/4127 weeks
64.1123 .07102 (64*2π)/4126 weeks
65.0107 .07167 (65*2π)/4126 weeks
66.06818 .14431 (66*2π)/4126 weeks
67.04141 .1158 (67*2π)/4126 weeks
68-.08425 -.01301 (68*2π)/4126 weeks
69-.00021 .07387 (69*2π)/4126 weeks
70-.01796 .01926 (70*2π)/4126 weeks
71.02873 -.04423 (71*2π)/4126 weeks
72.07237 .13783 (72*2π)/4126 weeks
73-.03945 .03801 (73*2π)/4126 weeks
74-.02715 .0337 (74*2π)/4126 weeks
75-.07474 .01052 (75*2π)/4125 weeks
76.0931 -.08805 (76*2π)/4125 weeks
77-.01991 .08668 (77*2π)/4125 weeks
78.01591 .00787 (78*2π)/4125 weeks
79.03498 -.01458 (79*2π)/4125 weeks
80.05845 -.05533 (80*2π)/4125 weeks
81.05861 .11015 (81*2π)/4125 weeks
82.03927 .01508 (82*2π)/4125 weeks
83-.03373 .09089 (83*2π)/4125 weeks
84.00066 -.00586 (84*2π)/4125 weeks
85-.02169 .00545 (85*2π)/4125 weeks
86.0178 -.02052 (86*2π)/4125 weeks
87.10695 .01017 (87*2π)/4125 weeks
88.05483 .03424 (88*2π)/4125 weeks
89.06827 .04318 (89*2π)/4125 weeks
90-.03413 .00451 (90*2π)/4125 weeks
91.07524 -.02534 (91*2π)/4125 weeks
92.05819 .09284 (92*2π)/4124 weeks
93.0211 -.02141 (93*2π)/4124 weeks
94.03291 .02261 (94*2π)/4124 weeks
95.04656 .00524 (95*2π)/4124 weeks
96.14174 .06936 (96*2π)/4124 weeks
97.04656 .05341 (97*2π)/4124 weeks
98.05324 -.00783 (98*2π)/4124 weeks
99-.00965 -.02096 (99*2π)/4124 weeks
100.07137 .03707 (100*2π)/4124 weeks
101.09697 .04308 (101*2π)/4124 weeks
102.04739 .07452 (102*2π)/4124 weeks
103-.00777 .13656 (103*2π)/4124 weeks
104-.0325 .06068 (104*2π)/4124 weeks
105-.00169 -.00666 (105*2π)/4124 weeks
106.03152 .00306 (106*2π)/4124 weeks
107.03585 .02797 (107*2π)/4124 weeks
108-.00074 .05562 (108*2π)/4124 weeks
109.03133 .01631 (109*2π)/4124 weeks
110-.03668 .04072 (110*2π)/4124 weeks
111.02451 -.05651 (111*2π)/4124 weeks
112.01913 .06696 (112*2π)/4124 weeks
113-.04804 -.02197 (113*2π)/4124 weeks
114.0283 -.02102 (114*2π)/4124 weeks
115.05733 -.10755 (115*2π)/4124 weeks
116.09193 -.04098 (116*2π)/4124 weeks
117.15884 -.02438 (117*2π)/4124 weeks
118.08408 .10898 (118*2π)/4123 weeks
119.02162 .06445 (119*2π)/4123 weeks
120.0726 .08418 (120*2π)/4123 weeks
121-.06901 .06782 (121*2π)/4123 weeks
122.10996 .00205 (122*2π)/4123 weeks
123.00851 .14089 (123*2π)/4123 weeks
124-.07105 -.01128 (124*2π)/4123 weeks
125.08464 .08191 (125*2π)/4123 weeks
126-.05766 .03056 (126*2π)/4123 weeks
127.00131 .01755 (127*2π)/4123 weeks
128-.05779 .01055 (128*2π)/4123 weeks
129-.04546 .04819 (129*2π)/4123 weeks
130.0144 -.06768 (130*2π)/4123 weeks
131.08143 .06187 (131*2π)/4123 weeks
132-.08114 .02315 (132*2π)/4123 weeks
133.02151 -.05005 (133*2π)/4123 weeks
134.05037 .02922 (134*2π)/4123 weeks
135.04302 -.01263 (135*2π)/4123 weeks
136.01452 .02022 (136*2π)/4123 weeks
137-.05181 -.00391 (137*2π)/4123 weeks
138.036 -.01609 (138*2π)/4123 weeks
139-.00566 .02054 (139*2π)/4123 weeks
140-.00281 -.00321 (140*2π)/4123 weeks
141-.00363 -.03174 (141*2π)/4123 weeks
142.14053 -.06351 (142*2π)/4123 weeks
143.14252 .03744 (143*2π)/4123 weeks
144.0995 .04987 (144*2π)/4123 weeks
145-.01449 .0691 (145*2π)/4123 weeks
146.00965 .06651 (146*2π)/4123 weeks
147.02551 .09343 (147*2π)/4123 weeks
148-.03503 .05402 (148*2π)/4123 weeks
149-.02458 .02738 (149*2π)/4123 weeks
150-.01648 -.05417 (150*2π)/4123 weeks
151.0821 .04591 (151*2π)/4123 weeks
152-.04477 .08161 (152*2π)/4123 weeks
153.04038 -.0256 (153*2π)/4123 weeks
154-.01878 .01888 (154*2π)/4123 weeks
155.02815 .00558 (155*2π)/4123 weeks
156-.05638 .03835 (156*2π)/4123 weeks
157-.02138 -.03043 (157*2π)/4123 weeks
158.03481 -.02333 (158*2π)/4123 weeks
159.00714 -.00764 (159*2π)/4123 weeks
160.01104 .01577 (160*2π)/4123 weeks
161.02533 -.03832 (161*2π)/4123 weeks
162.03608 -.00617 (162*2π)/4123 weeks
163-.06585 -.03917 (163*2π)/4123 weeks
164.12478 -.03549 (164*2π)/4123 weeks
165-.00041 .02103 (165*2π)/4122 weeks
166.05235 -.02161 (166*2π)/4122 weeks
167.051 .048 (167*2π)/4122 weeks
168.0236 .01164 (168*2π)/4122 weeks
169.04959 -.02305 (169*2π)/4122 weeks
170.0454 .00745 (170*2π)/4122 weeks
171.07279 .0383 (171*2π)/4122 weeks
172.0223 .04921 (172*2π)/4122 weeks
173.06162 .01685 (173*2π)/4122 weeks
174.03289 -.00829 (174*2π)/4122 weeks
175.04092 .08067 (175*2π)/4122 weeks
176.00865 .08201 (176*2π)/4122 weeks
177.01487 -.00049 (177*2π)/4122 weeks
178-.06123 .07355 (178*2π)/4122 weeks
179-.00951 .00653 (179*2π)/4122 weeks
180-.00775 .07057 (180*2π)/4122 weeks
181-.05974 -.05558 (181*2π)/4122 weeks
182.03858 -.04564 (182*2π)/4122 weeks
183.02274 .01208 (183*2π)/4122 weeks
184.01265 .04199 (184*2π)/4122 weeks
185-.02407 -.01967 (185*2π)/4122 weeks
186.04407 .01546 (186*2π)/4122 weeks
187-.05009 .02692 (187*2π)/4122 weeks
188.06183 -.02658 (188*2π)/4122 weeks
189-.01788 .0316 (189*2π)/4122 weeks
190.00278 -.07444 (190*2π)/4122 weeks
191.02566 .00582 (191*2π)/4122 weeks
192.00547 -.01743 (192*2π)/4122 weeks
193.02942 .01763 (193*2π)/4122 weeks
194.01143 -.03388 (194*2π)/4122 weeks
195.02688 .00303 (195*2π)/4122 weeks
196.05162 -.01327 (196*2π)/4122 weeks
197.0719 .01054 (197*2π)/4122 weeks
198.03491 .0274 (198*2π)/4122 weeks
199.00764 .03432 (199*2π)/4122 weeks
200.01323 .08032 (200*2π)/4122 weeks
201-.02139 -.02691 (201*2π)/4122 weeks
202.0098 .0987 (202*2π)/4122 weeks
203-.02329 -.03597 (203*2π)/4122 weeks
204-.01465 .02137 (204*2π)/4122 weeks
205-.04719 -.06239 (205*2π)/4122 weeks
206.03897   (206*2π)/4122 weeks
207-.04719 .06239 (207*2π)/4122 weeks
208-.01465 -.02137 (208*2π)/4122 weeks
209-.02329 .03597 (209*2π)/4122 weeks
210.0098 -.0987 (210*2π)/4122 weeks
211-.02139 .02691 (211*2π)/4122 weeks
212.01323 -.08032 (212*2π)/4122 weeks
213.00764 -.03432 (213*2π)/4122 weeks
214.03491 -.0274 (214*2π)/4122 weeks
215.0719 -.01054 (215*2π)/4122 weeks
216.05162 .01327 (216*2π)/4122 weeks
217.02688 -.00303 (217*2π)/4122 weeks
218.01143 .03388 (218*2π)/4122 weeks
219.02942 -.01763 (219*2π)/4122 weeks
220.00547 .01743 (220*2π)/4122 weeks
221.02566 -.00582 (221*2π)/4122 weeks
222.00278 .07444 (222*2π)/4122 weeks
223-.01788 -.0316 (223*2π)/4122 weeks
224.06183 .02658 (224*2π)/4122 weeks
225-.05009 -.02692 (225*2π)/4122 weeks
226.04407 -.01546 (226*2π)/4122 weeks
227-.02407 .01967 (227*2π)/4122 weeks
228.01265 -.04199 (228*2π)/4122 weeks
229.02274 -.01208 (229*2π)/4122 weeks
230.03858 .04564 (230*2π)/4122 weeks
231-.05974 .05558 (231*2π)/4122 weeks
232-.00775 -.07057 (232*2π)/4122 weeks
233-.00951 -.00653 (233*2π)/4122 weeks
234-.06123 -.07355 (234*2π)/4122 weeks
235.01487 .00049 (235*2π)/4122 weeks
236.00865 -.08201 (236*2π)/4122 weeks
237.04092 -.08067 (237*2π)/4122 weeks
238.03289 .00829 (238*2π)/4122 weeks
239.06162 -.01685 (239*2π)/4122 weeks
240.0223 -.04921 (240*2π)/4122 weeks
241.07279 -.0383 (241*2π)/4122 weeks
242.0454 -.00745 (242*2π)/4122 weeks
243.04959 .02305 (243*2π)/4122 weeks
244.0236 -.01164 (244*2π)/4122 weeks
245.051 -.048 (245*2π)/4122 weeks
246.05235 .02161 (246*2π)/4122 weeks
247-.00041 -.02103 (247*2π)/4122 weeks
248.12478 .03549 (248*2π)/4122 weeks
249-.06585 .03917 (249*2π)/4122 weeks
250.03608 .00617 (250*2π)/4122 weeks
251.02533 .03832 (251*2π)/4122 weeks
252.01104 -.01577 (252*2π)/4122 weeks
253.00714 .00764 (253*2π)/4122 weeks
254.03481 .02333 (254*2π)/4122 weeks
255-.02138 .03043 (255*2π)/4122 weeks
256-.05638 -.03835 (256*2π)/4122 weeks
257.02815 -.00558 (257*2π)/4122 weeks
258-.01878 -.01888 (258*2π)/4122 weeks
259.04038 .0256 (259*2π)/4122 weeks
260-.04477 -.08161 (260*2π)/4122 weeks
261.0821 -.04591 (261*2π)/4122 weeks
262-.01648 .05417 (262*2π)/4122 weeks
263-.02458 -.02738 (263*2π)/4122 weeks
264-.03503 -.05402 (264*2π)/4122 weeks
265.02551 -.09343 (265*2π)/4122 weeks
266.00965 -.06651 (266*2π)/4122 weeks
267-.01449 -.0691 (267*2π)/4122 weeks
268.0995 -.04987 (268*2π)/4122 weeks
269.14252 -.03744 (269*2π)/4122 weeks
270.14053 .06351 (270*2π)/4122 weeks
271-.00363 .03174 (271*2π)/4122 weeks
272-.00281 .00321 (272*2π)/4122 weeks
273-.00566 -.02054 (273*2π)/4122 weeks
274.036 .01609 (274*2π)/4122 weeks
275-.05181 .00391 (275*2π)/4121 weeks
276.01452 -.02022 (276*2π)/4121 weeks
277.04302 .01263 (277*2π)/4121 weeks
278.05037 -.02922 (278*2π)/4121 weeks
279.02151 .05005 (279*2π)/4121 weeks
280-.08114 -.02315 (280*2π)/4121 weeks
281.08143 -.06187 (281*2π)/4121 weeks
282.0144 .06768 (282*2π)/4121 weeks
283-.04546 -.04819 (283*2π)/4121 weeks
284-.05779 -.01055 (284*2π)/4121 weeks
285.00131 -.01755 (285*2π)/4121 weeks
286-.05766 -.03056 (286*2π)/4121 weeks
287.08464 -.08191 (287*2π)/4121 weeks
288-.07105 .01128 (288*2π)/4121 weeks
289.00851 -.14089 (289*2π)/4121 weeks
290.10996 -.00205 (290*2π)/4121 weeks
291-.06901 -.06782 (291*2π)/4121 weeks
292.0726 -.08418 (292*2π)/4121 weeks
293.02162 -.06445 (293*2π)/4121 weeks
294.08408 -.10898 (294*2π)/4121 weeks
295.15884 .02438 (295*2π)/4121 weeks
296.09193 .04098 (296*2π)/4121 weeks
297.05733 .10755 (297*2π)/4121 weeks
298.0283 .02102 (298*2π)/4121 weeks
299-.04804 .02197 (299*2π)/4121 weeks
300.01913 -.06696 (300*2π)/4121 weeks
301.02451 .05651 (301*2π)/4121 weeks
302-.03668 -.04072 (302*2π)/4121 weeks
303.03133 -.01631 (303*2π)/4121 weeks
304-.00074 -.05562 (304*2π)/4121 weeks
305.03585 -.02797 (305*2π)/4121 weeks
306.03152 -.00306 (306*2π)/4121 weeks
307-.00169 .00666 (307*2π)/4121 weeks
308-.0325 -.06068 (308*2π)/4121 weeks
309-.00777 -.13656 (309*2π)/4121 weeks
310.04739 -.07452 (310*2π)/4121 weeks
311.09697 -.04308 (311*2π)/4121 weeks
312.07137 -.03707 (312*2π)/4121 weeks
313-.00965 .02096 (313*2π)/4121 weeks
314.05324 .00783 (314*2π)/4121 weeks
315.04656 -.05341 (315*2π)/4121 weeks
316.14174 -.06936 (316*2π)/4121 weeks
317.04656 -.00524 (317*2π)/4121 weeks
318.03291 -.02261 (318*2π)/4121 weeks
319.0211 .02141 (319*2π)/4121 weeks
320.05819 -.09284 (320*2π)/4121 weeks
321.07524 .02534 (321*2π)/4121 weeks
322-.03413 -.00451 (322*2π)/4121 weeks
323.06827 -.04318 (323*2π)/4121 weeks
324.05483 -.03424 (324*2π)/4121 weeks
325.10695 -.01017 (325*2π)/4121 weeks
326.0178 .02052 (326*2π)/4121 weeks
327-.02169 -.00545 (327*2π)/4121 weeks
328.00066 .00586 (328*2π)/4121 weeks
329-.03373 -.09089 (329*2π)/4121 weeks
330.03927 -.01508 (330*2π)/4121 weeks
331.05861 -.11015 (331*2π)/4121 weeks
332.05845 .05533 (332*2π)/4121 weeks
333.03498 .01458 (333*2π)/4121 weeks
334.01591 -.00787 (334*2π)/4121 weeks
335-.01991 -.08668 (335*2π)/4121 weeks
336.0931 .08805 (336*2π)/4121 weeks
337-.07474 -.01052 (337*2π)/4121 weeks
338-.02715 -.0337 (338*2π)/4121 weeks
339-.03945 -.03801 (339*2π)/4121 weeks
340.07237 -.13783 (340*2π)/4121 weeks
341.02873 .04423 (341*2π)/4121 weeks
342-.01796 -.01926 (342*2π)/4121 weeks
343-.00021 -.07387 (343*2π)/4121 weeks
344-.08425 .01301 (344*2π)/4121 weeks
345.04141 -.1158 (345*2π)/4121 weeks
346.06818 -.14431 (346*2π)/4121 weeks
347.0107 -.07167 (347*2π)/4121 weeks
348.1123 -.07102 (348*2π)/4121 weeks
349.18096 .10393 (349*2π)/4121 weeks
350-.07185 .13292 (350*2π)/4121 weeks
351-.01484 -.15305 (351*2π)/4121 weeks
352-.07638 .05216 (352*2π)/4121 weeks
353-.00618 -.14568 (353*2π)/4121 weeks
354.07966 -.23653 (354*2π)/4121 weeks
355.20285 -.03542 (355*2π)/4121 weeks
356.20234 .22839 (356*2π)/4121 weeks
357-.17135 .09106 (357*2π)/4121 weeks
358-.04682 .06928 (358*2π)/4121 weeks
359-.11181 -.05868 (359*2π)/4121 weeks
360-.08727 -.08939 (360*2π)/4121 weeks
361.03479 -.0826 (361*2π)/4121 weeks
362-.03654 -.09327 (362*2π)/4121 weeks
363.02862 -.17861 (363*2π)/4121 weeks
364-.07952 -.0962 (364*2π)/4121 weeks
365.11605 -.15321 (365*2π)/4121 weeks
366.07598 -.14182 (366*2π)/4121 weeks
367.37624 .05581 (367*2π)/4121 weeks
368-.15244 .16508 (368*2π)/4121 weeks
369-.15312 .06429 (369*2π)/4121 weeks
370-.03325 -.22409 (370*2π)/4121 weeks
371.10253 -.16074 (371*2π)/4121 weeks
372.07966 -.09418 (372*2π)/4121 weeks
373.17779 .01532 (373*2π)/4121 weeks
374-.02783 .04027 (374*2π)/4121 weeks
375-.00165 .06917 (375*2π)/4121 weeks
376-.09868 -.10808 (376*2π)/4121 weeks
377-.22674 -.19178 (377*2π)/4121 weeks
378.22089 -.08241 (378*2π)/4121 weeks
379.07118 .0058 (379*2π)/4121 weeks
380-.02458 .00105 (380*2π)/4121 weeks
381-.1876 .06583 (381*2π)/4121 weeks
382-.08198 -.33247 (382*2π)/4121 weeks
383.00214 -.07658 (383*2π)/4121 weeks
384-.0476 -.17544 (384*2π)/4121 weeks
385-.04903 -.5528 (385*2π)/4121 weeks
386.38699 .01477 (386*2π)/4121 weeks
387.24631 .05661 (387*2π)/4121 weeks
388-.21231 -.11202 (388*2π)/4121 weeks
389-.03119 -.18388 (389*2π)/4121 weeks
390.07447 -.05282 (390*2π)/4121 weeks
391.16085 .19354 (391*2π)/4121 weeks
392-.12344 -.13677 (392*2π)/4121 weeks
393.2356 -.46267 (393*2π)/4121 weeks
394.31807 .37943 (394*2π)/4121 weeks
395-.27969 .39081 (395*2π)/4121 weeks
396-.37765 -.25052 (396*2π)/4121 weeks
397-.25586 -.69615 (397*2π)/4121 weeks
398.4853 -.00735 (398*2π)/4121 weeks
399-.36527 .22251 (399*2π)/4121 weeks
400.04034 -.03332 (400*2π)/4121 weeks
401-.21382 -.9605 (401*2π)/4121 weeks
402.49301 .50369 (402*2π)/4121 weeks
403-.86117 -.28437 (403*2π)/4121 weeks
404.28503 -.60097 (404*2π)/4121 weeks
405.27044 -.83407 (405*2π)/4121 weeks
406.24854 .59832 (406*2π)/4121 weeks
407-2.09513 -.1262 (407*2π)/4121 weeks
408-1.56513 -2.17339 (408*2π)/4121 weeks
409-.12878 -2.02345 (409*2π)/4121 weeks
410-2.69886 -2.43134 (410*2π)/4121 weeks