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# Fourier Analysis of TRA (TERRA INDS INC)

TRA (TERRA INDS INC) appears to have interesting cyclic behaviour every 31 weeks (3610.812*sine), 37 weeks (3476.862*sine), and 33 weeks (2844.182*sine).

TRA (TERRA INDS INC) has an average price of 43,375.65 (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 2/22/2010 to 3/20/2017 for TRA (TERRA INDS INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
043,375.65   0
17,487.025 -29,331.28 (1*2π)/366366 weeks
213,499.58 -17,078.18 (2*2π)/366183 weeks
3271.3033 -15,223.17 (3*2π)/366122 weeks
4718.8942 -11,567.46 (4*2π)/36692 weeks
5-3,208.411 -8,933.626 (5*2π)/36673 weeks
6-2,087.341 -5,978.391 (6*2π)/36661 weeks
7-383.9017 -2,105.817 (7*2π)/36652 weeks
8-554.0717 -3,257.325 (8*2π)/36646 weeks
91,535.514 -2,836.919 (9*2π)/36641 weeks
10-518.8587 -3,476.862 (10*2π)/36637 weeks
11753.4952 -2,844.182 (11*2π)/36633 weeks
12-865.8583 -3,610.813 (12*2π)/36631 weeks
1398.6886 -2,651.549 (13*2π)/36628 weeks
14-618.4976 -2,461.489 (14*2π)/36626 weeks
15145.065 -1,954.203 (15*2π)/36624 weeks
16-388.2277 -1,972.359 (16*2π)/36623 weeks
1770.20397 -1,832.755 (17*2π)/36622 weeks
18-334.9301 -1,679.953 (18*2π)/36620 weeks
19384.6946 -2,144.559 (19*2π)/36619 weeks
20-52.33488 -1,883.069 (20*2π)/36618 weeks
21-220.5485 -2,494.872 (21*2π)/36617 weeks
22-799.6957 -1,867.577 (22*2π)/36617 weeks
23-573.2116 -1,680.986 (23*2π)/36616 weeks
24-731.1694 -1,327.68 (24*2π)/36615 weeks
25-1,142.287 -676.1003 (25*2π)/36615 weeks
26346.4569 -767.4618 (26*2π)/36614 weeks
27-334.253 -621.6691 (27*2π)/36614 weeks
28381.4668 -1,233.917 (28*2π)/36613 weeks
29-116.3893 -1,198.177 (29*2π)/36613 weeks
30185.1794 -1,719.677 (30*2π)/36612 weeks
31-433.8331 -1,341.401 (31*2π)/36612 weeks
32-695.2537 -1,152.042 (32*2π)/36611 weeks
33-331.1432 -830.7034 (33*2π)/36611 weeks
34-390.0929 -1,060.813 (34*2π)/36611 weeks
35-379.6918 -959.5629 (35*2π)/36610 weeks
36-451.1357 -651.5118 (36*2π)/36610 weeks
37-165.0514 -995.4147 (37*2π)/36610 weeks
38-296.4034 -858.8666 (38*2π)/36610 weeks
39-528.351 -1,091.15 (39*2π)/3669 weeks
40-350.2338 -473.054 (40*2π)/3669 weeks
41-452.6106 -950.4754 (41*2π)/3669 weeks
42-285.0748 -340.517 (42*2π)/3669 weeks
43-453.1052 -584.476 (43*2π)/3669 weeks
44112.235 -321.1291 (44*2π)/3668 weeks
45-53.32425 -874.1433 (45*2π)/3668 weeks
4613.74602 -902.6991 (46*2π)/3668 weeks
47-181.6442 -811.8117 (47*2π)/3668 weeks
48-293.2542 -1,129.461 (48*2π)/3668 weeks
49-448.261 -610.1871 (49*2π)/3667 weeks
50-637.9995 -710.6526 (50*2π)/3667 weeks
51-220.3966 -374.7322 (51*2π)/3667 weeks
52-434.7554 -519.9746 (52*2π)/3667 weeks
53-211.4222 -528.3771 (53*2π)/3667 weeks
54-320.3087 -496.9281 (54*2π)/3667 weeks
55-271.3547 -545.1459 (55*2π)/3667 weeks
56-360.2713 -509.1793 (56*2π)/3667 weeks
57-151.5787 -386.823 (57*2π)/3666 weeks
58-296.0126 -426.0137 (58*2π)/3666 weeks
5923.98887 -428.6455 (59*2π)/3666 weeks
60-330.6423 -581.6846 (60*2π)/3666 weeks
615.91044 -527.9328 (61*2π)/3666 weeks
62-183.0007 -648.4991 (62*2π)/3666 weeks
63-298.6419 -671.8318 (63*2π)/3666 weeks
64-300.9146 -566.4054 (64*2π)/3666 weeks
65-350.3121 -592.1649 (65*2π)/3666 weeks
66-171.7262 -598.1113 (66*2π)/3666 weeks
67-628.1628 -456.5292 (67*2π)/3665 weeks
68-157.5641 -494.9481 (68*2π)/3665 weeks
69-499.9201 -320.7888 (69*2π)/3665 weeks
70-163.3086 -351.9038 (70*2π)/3665 weeks
71-282.9352 -178.9599 (71*2π)/3665 weeks
72-107.325 -552.6774 (72*2π)/3665 weeks
73-40.26389 -586.6642 (73*2π)/3665 weeks
74-387.4526 -523.9286 (74*2π)/3665 weeks
75-302.8328 -681.4717 (75*2π)/3665 weeks
76-551.2324 -376.0908 (76*2π)/3665 weeks
77-299.23 -429.5113 (77*2π)/3665 weeks
78-371.8983 -175.4245 (78*2π)/3665 weeks
79-275.802 -560.5404 (79*2π)/3665 weeks
80-293.472 -350.5626 (80*2π)/3665 weeks
81-351.5098 -519.8802 (81*2π)/3665 weeks
82-424.4203 -317.2506 (82*2π)/3664 weeks
83-338.3519 -395.6791 (83*2π)/3664 weeks
84-438.7298 -120.9243 (84*2π)/3664 weeks
85-64.76622 -300.4117 (85*2π)/3664 weeks
86-381.5241 -388.8548 (86*2π)/3664 weeks
87-291.6915 -293.2119 (87*2π)/3664 weeks
88-318.2449 -320.6978 (88*2π)/3664 weeks
89-296.2196 -300.4221 (89*2π)/3664 weeks
90-224.1839 -326.4961 (90*2π)/3664 weeks
91-278.8529 -352.728 (91*2π)/3664 weeks
92-354.9522 -444.9087 (92*2π)/3664 weeks
93-388.1101 -261.5273 (93*2π)/3664 weeks
94-545.7101 -319.4767 (94*2π)/3664 weeks
95-358.0677 -139.6777 (95*2π)/3664 weeks
96-494.3694 -243.9924 (96*2π)/3664 weeks
97-262.1487 -92.75558 (97*2π)/3664 weeks
98-327.9913 -82.75726 (98*2π)/3664 weeks
99-103.864 -288.6239 (99*2π)/3664 weeks
100-299.8467 -270.502 (100*2π)/3664 weeks
101-314.3816 -331.3607 (101*2π)/3664 weeks
102-297.1061 -171.4444 (102*2π)/3664 weeks
103-257.7733 -263.9558 (103*2π)/3664 weeks
104-194.3636 -185.1069 (104*2π)/3664 weeks
105-311.1197 -343.5145 (105*2π)/3663 weeks
106-179.1094 -247.1538 (106*2π)/3663 weeks
107-375.5559 -406.5244 (107*2π)/3663 weeks
108-306.7552 -298.4203 (108*2π)/3663 weeks
109-518.2014 -242.9164 (109*2π)/3663 weeks
110-372.9778 -66.05511 (110*2π)/3663 weeks
111-267.6233 -67.78825 (111*2π)/3663 weeks
112-212.3208 -112.0542 (112*2π)/3663 weeks
113-183.1525 -118.7709 (113*2π)/3663 weeks
114-223.8422 -195.1539 (114*2π)/3663 weeks
115-132.5553 -152.1333 (115*2π)/3663 weeks
116-241.2568 -216.957 (116*2π)/3663 weeks
117-86.95512 -281.5402 (117*2π)/3663 weeks
118-323.4507 -338.4546 (118*2π)/3663 weeks
119-355.2274 -425.0322 (119*2π)/3663 weeks
120-441.1302 -201.329 (120*2π)/3663 weeks
121-416.3742 -269.5871 (121*2π)/3663 weeks
122-430.9613 -20.34355 (122*2π)/3663 weeks
123-388.6469 -153.4616 (123*2π)/3663 weeks
124-230.2905 52.65961 (124*2π)/3663 weeks
125-157.6907 -222.2845 (125*2π)/3663 weeks
126-250.5206 -224.129 (126*2π)/3663 weeks
127-341.2765 -242.3894 (127*2π)/3663 weeks
128-290.4095 -222.445 (128*2π)/3663 weeks
129-404.1361 -131.7259 (129*2π)/3663 weeks
130-237.3821 -90.24831 (130*2π)/3663 weeks
131-446.6003 -164.0682 (131*2π)/3663 weeks
132-220.2706 -86.06304 (132*2π)/3663 weeks
133-225.5704 16.58574 (133*2π)/3663 weeks
134-182.1938 -184.5596 (134*2π)/3663 weeks
135-96.26499 -118.8286 (135*2π)/3663 weeks
136-335.926 -455.8311 (136*2π)/3663 weeks
137-336.407 -88.92391 (137*2π)/3663 weeks
138-459.8216 -312.9782 (138*2π)/3663 weeks
139-432.687 15.67282 (139*2π)/3663 weeks
140-414.3247 -30.30373 (140*2π)/3663 weeks
141-317.0767 95.2666 (141*2π)/3663 weeks
142-263.4507 33.901 (142*2π)/3663 weeks
143-162.0126 -57.19675 (143*2π)/3663 weeks
144-141.3884 -109.621 (144*2π)/3663 weeks
145-218.7229 -207.8228 (145*2π)/3663 weeks
146-224.2749 -147.4347 (146*2π)/3663 weeks
147-374.1447 -171.5855 (147*2π)/3662 weeks
148-251.882 -10.41588 (148*2π)/3662 weeks
149-359.8456 -166.4316 (149*2π)/3662 weeks
150-261.9571 -45.07903 (150*2π)/3662 weeks
151-397.6463 -44.58846 (151*2π)/3662 weeks
152-158.034 -86.15177 (152*2π)/3662 weeks
153-354.0207 -115.3344 (153*2π)/3662 weeks
154-224.8231 -81.39398 (154*2π)/3662 weeks
155-397.2249 -16.0581 (155*2π)/3662 weeks
156-176.6632 21.73113 (156*2π)/3662 weeks
157-174.5137 -64.1966 (157*2π)/3662 weeks
158-272.9135 -159.5895 (158*2π)/3662 weeks
159-256.6161 -153.8416 (159*2π)/3662 weeks
160-428.1609 -118.8943 (160*2π)/3662 weeks
161-228.8167 -24.26041 (161*2π)/3662 weeks
162-318.3605 -41.96186 (162*2π)/3662 weeks
163-124.7573 -77.84213 (163*2π)/3662 weeks
164-318.8824 -172.8651 (164*2π)/3662 weeks
165-328.5315 -132.3511 (165*2π)/3662 weeks
166-359.1615 -79.36794 (166*2π)/3662 weeks
167-379.8611 -83.31776 (167*2π)/3662 weeks
168-326.2015 33.40216 (168*2π)/3662 weeks
169-219.6209 -17.67094 (169*2π)/3662 weeks
170-315.639 -20.5741 (170*2π)/3662 weeks
171-190.0361 -40.2502 (171*2π)/3662 weeks
172-335.3799 -72.14085 (172*2π)/3662 weeks
173-292.6666 -77.04922 (173*2π)/3662 weeks
174-387.8328 -89.36247 (174*2π)/3662 weeks
175-336.9895 139.1572 (175*2π)/3662 weeks
176-223.7945 -116.5167 (176*2π)/3662 weeks
177-365.9149 94.46173 (177*2π)/3662 weeks
178-236.2407 -113.6341 (178*2π)/3662 weeks
179-360.8004 109.2735 (179*2π)/3662 weeks
180-270.8622 -59.42654 (180*2π)/3662 weeks
181-285.1519 -6.92654 (181*2π)/3662 weeks
182-439.5215 29.16073 (182*2π)/3662 weeks
183-204.011   (183*2π)/3662 weeks
184-439.5215 -29.16073 (184*2π)/3662 weeks
185-285.1519 6.92654 (185*2π)/3662 weeks
186-270.8622 59.42654 (186*2π)/3662 weeks
187-360.8004 -109.2735 (187*2π)/3662 weeks
188-236.2407 113.6341 (188*2π)/3662 weeks
189-365.9149 -94.46173 (189*2π)/3662 weeks
190-223.7945 116.5167 (190*2π)/3662 weeks
191-336.9895 -139.1572 (191*2π)/3662 weeks
192-387.8328 89.36247 (192*2π)/3662 weeks
193-292.6666 77.04922 (193*2π)/3662 weeks
194-335.3799 72.14085 (194*2π)/3662 weeks
195-190.0361 40.2502 (195*2π)/3662 weeks
196-315.639 20.5741 (196*2π)/3662 weeks
197-219.6209 17.67094 (197*2π)/3662 weeks
198-326.2015 -33.40216 (198*2π)/3662 weeks
199-379.8611 83.31776 (199*2π)/3662 weeks
200-359.1615 79.36794 (200*2π)/3662 weeks
201-328.5315 132.3511 (201*2π)/3662 weeks
202-318.8824 172.8651 (202*2π)/3662 weeks
203-124.7573 77.84213 (203*2π)/3662 weeks
204-318.3605 41.96186 (204*2π)/3662 weeks
205-228.8167 24.26041 (205*2π)/3662 weeks
206-428.1609 118.8943 (206*2π)/3662 weeks
207-256.6161 153.8416 (207*2π)/3662 weeks
208-272.9135 159.5895 (208*2π)/3662 weeks
209-174.5137 64.1966 (209*2π)/3662 weeks
210-176.6632 -21.73113 (210*2π)/3662 weeks
211-397.2249 16.0581 (211*2π)/3662 weeks
212-224.8231 81.39398 (212*2π)/3662 weeks
213-354.0207 115.3344 (213*2π)/3662 weeks
214-158.034 86.15177 (214*2π)/3662 weeks
215-397.6463 44.58846 (215*2π)/3662 weeks
216-261.9571 45.07903 (216*2π)/3662 weeks
217-359.8456 166.4316 (217*2π)/3662 weeks
218-251.882 10.41588 (218*2π)/3662 weeks
219-374.1447 171.5855 (219*2π)/3662 weeks
220-224.2749 147.4347 (220*2π)/3662 weeks
221-218.7229 207.8228 (221*2π)/3662 weeks
222-141.3884 109.621 (222*2π)/3662 weeks
223-162.0126 57.19675 (223*2π)/3662 weeks
224-263.4507 -33.901 (224*2π)/3662 weeks
225-317.0767 -95.2666 (225*2π)/3662 weeks
226-414.3247 30.30373 (226*2π)/3662 weeks
227-432.687 -15.67282 (227*2π)/3662 weeks
228-459.8216 312.9782 (228*2π)/3662 weeks
229-336.407 88.92391 (229*2π)/3662 weeks
230-335.926 455.8311 (230*2π)/3662 weeks
231-96.26499 118.8286 (231*2π)/3662 weeks
232-182.1938 184.5596 (232*2π)/3662 weeks
233-225.5704 -16.58574 (233*2π)/3662 weeks
234-220.2706 86.06304 (234*2π)/3662 weeks
235-446.6003 164.0682 (235*2π)/3662 weeks
236-237.3821 90.24831 (236*2π)/3662 weeks
237-404.1361 131.7259 (237*2π)/3662 weeks
238-290.4095 222.445 (238*2π)/3662 weeks
239-341.2765 242.3894 (239*2π)/3662 weeks
240-250.5206 224.129 (240*2π)/3662 weeks
241-157.6907 222.2845 (241*2π)/3662 weeks
242-230.2905 -52.65961 (242*2π)/3662 weeks
243-388.6469 153.4616 (243*2π)/3662 weeks
244-430.9613 20.34355 (244*2π)/3662 weeks
245-416.3742 269.5871 (245*2π)/3661 weeks
246-441.1302 201.329 (246*2π)/3661 weeks
247-355.2274 425.0322 (247*2π)/3661 weeks
248-323.4507 338.4546 (248*2π)/3661 weeks
249-86.95512 281.5402 (249*2π)/3661 weeks
250-241.2568 216.957 (250*2π)/3661 weeks
251-132.5553 152.1333 (251*2π)/3661 weeks
252-223.8422 195.1539 (252*2π)/3661 weeks
253-183.1525 118.7709 (253*2π)/3661 weeks
254-212.3208 112.0542 (254*2π)/3661 weeks
255-267.6233 67.78825 (255*2π)/3661 weeks
256-372.9778 66.05511 (256*2π)/3661 weeks
257-518.2014 242.9164 (257*2π)/3661 weeks
258-306.7552 298.4203 (258*2π)/3661 weeks
259-375.5559 406.5244 (259*2π)/3661 weeks
260-179.1094 247.1538 (260*2π)/3661 weeks
261-311.1197 343.5145 (261*2π)/3661 weeks
262-194.3636 185.1069 (262*2π)/3661 weeks
263-257.7733 263.9558 (263*2π)/3661 weeks
264-297.1061 171.4444 (264*2π)/3661 weeks
265-314.3816 331.3607 (265*2π)/3661 weeks
266-299.8467 270.502 (266*2π)/3661 weeks
267-103.864 288.6239 (267*2π)/3661 weeks
268-327.9913 82.75726 (268*2π)/3661 weeks
269-262.1487 92.75558 (269*2π)/3661 weeks
270-494.3694 243.9924 (270*2π)/3661 weeks
271-358.0677 139.6777 (271*2π)/3661 weeks
272-545.7101 319.4767 (272*2π)/3661 weeks
273-388.1101 261.5273 (273*2π)/3661 weeks
274-354.9522 444.9087 (274*2π)/3661 weeks
275-278.8529 352.728 (275*2π)/3661 weeks
276-224.1839 326.4961 (276*2π)/3661 weeks
277-296.2196 300.4221 (277*2π)/3661 weeks
278-318.2449 320.6978 (278*2π)/3661 weeks
279-291.6915 293.2119 (279*2π)/3661 weeks
280-381.5241 388.8548 (280*2π)/3661 weeks
281-64.76622 300.4117 (281*2π)/3661 weeks
282-438.7298 120.9243 (282*2π)/3661 weeks
283-338.3519 395.6791 (283*2π)/3661 weeks
284-424.4203 317.2506 (284*2π)/3661 weeks
285-351.5098 519.8802 (285*2π)/3661 weeks
286-293.472 350.5626 (286*2π)/3661 weeks
287-275.802 560.5404 (287*2π)/3661 weeks
288-371.8983 175.4245 (288*2π)/3661 weeks
289-299.23 429.5113 (289*2π)/3661 weeks
290-551.2324 376.0908 (290*2π)/3661 weeks
291-302.8328 681.4717 (291*2π)/3661 weeks
292-387.4526 523.9286 (292*2π)/3661 weeks
293-40.26389 586.6642 (293*2π)/3661 weeks
294-107.325 552.6774 (294*2π)/3661 weeks
295-282.9352 178.9599 (295*2π)/3661 weeks
296-163.3086 351.9038 (296*2π)/3661 weeks
297-499.9201 320.7888 (297*2π)/3661 weeks
298-157.5641 494.9481 (298*2π)/3661 weeks
299-628.1628 456.5292 (299*2π)/3661 weeks
300-171.7262 598.1113 (300*2π)/3661 weeks
301-350.3121 592.1649 (301*2π)/3661 weeks
302-300.9146 566.4054 (302*2π)/3661 weeks
303-298.6419 671.8318 (303*2π)/3661 weeks
304-183.0007 648.4991 (304*2π)/3661 weeks
3055.91044 527.9328 (305*2π)/3661 weeks
306-330.6423 581.6846 (306*2π)/3661 weeks
30723.98887 428.6455 (307*2π)/3661 weeks
308-296.0126 426.0137 (308*2π)/3661 weeks
309-151.5787 386.823 (309*2π)/3661 weeks
310-360.2713 509.1793 (310*2π)/3661 weeks
311-271.3547 545.1459 (311*2π)/3661 weeks
312-320.3087 496.9281 (312*2π)/3661 weeks
313-211.4222 528.3771 (313*2π)/3661 weeks
314-434.7554 519.9746 (314*2π)/3661 weeks
315-220.3966 374.7322 (315*2π)/3661 weeks
316-637.9995 710.6526 (316*2π)/3661 weeks
317-448.261 610.1871 (317*2π)/3661 weeks
318-293.2542 1,129.461 (318*2π)/3661 weeks
319-181.6442 811.8117 (319*2π)/3661 weeks
32013.74602 902.6991 (320*2π)/3661 weeks
321-53.32425 874.1433 (321*2π)/3661 weeks
322112.235 321.1291 (322*2π)/3661 weeks
323-453.1052 584.476 (323*2π)/3661 weeks
324-285.0748 340.517 (324*2π)/3661 weeks
325-452.6106 950.4754 (325*2π)/3661 weeks
326-350.2338 473.054 (326*2π)/3661 weeks
327-528.351 1,091.15 (327*2π)/3661 weeks
328-296.4034 858.8666 (328*2π)/3661 weeks
329-165.0514 995.4147 (329*2π)/3661 weeks
330-451.1357 651.5118 (330*2π)/3661 weeks
331-379.6918 959.5629 (331*2π)/3661 weeks
332-390.0929 1,060.813 (332*2π)/3661 weeks
333-331.1432 830.7034 (333*2π)/3661 weeks
334-695.2537 1,152.042 (334*2π)/3661 weeks
335-433.8331 1,341.401 (335*2π)/3661 weeks
336185.1794 1,719.677 (336*2π)/3661 weeks
337-116.3893 1,198.177 (337*2π)/3661 weeks
338381.4668 1,233.917 (338*2π)/3661 weeks
339-334.253 621.6691 (339*2π)/3661 weeks
340346.4569 767.4618 (340*2π)/3661 weeks
341-1,142.287 676.1003 (341*2π)/3661 weeks
342-731.1694 1,327.68 (342*2π)/3661 weeks
343-573.2116 1,680.986 (343*2π)/3661 weeks
344-799.6957 1,867.577 (344*2π)/3661 weeks
345-220.5485 2,494.872 (345*2π)/3661 weeks
346-52.33488 1,883.069 (346*2π)/3661 weeks
347384.6946 2,144.559 (347*2π)/3661 weeks
348-334.9301 1,679.953 (348*2π)/3661 weeks
34970.20397 1,832.755 (349*2π)/3661 weeks
350-388.2277 1,972.359 (350*2π)/3661 weeks
351145.065 1,954.203 (351*2π)/3661 weeks
352-618.4976 2,461.489 (352*2π)/3661 weeks
35398.6886 2,651.549 (353*2π)/3661 weeks
354-865.8583 3,610.813 (354*2π)/3661 weeks
355753.4952 2,844.182 (355*2π)/3661 weeks
356-518.8587 3,476.862 (356*2π)/3661 weeks
3571,535.514 2,836.919 (357*2π)/3661 weeks
358-554.0717 3,257.325 (358*2π)/3661 weeks
359-383.9017 2,105.817 (359*2π)/3661 weeks
360-2,087.341 5,978.391 (360*2π)/3661 weeks
361-3,208.411 8,933.626 (361*2π)/3661 weeks
362718.8942 11,567.46 (362*2π)/3661 weeks
363271.3033 15,223.17 (363*2π)/3661 weeks
36413,499.58 17,078.18 (364*2π)/3661 weeks