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Fourier Analysis of TRA (TERRA INDS INC)


TRA (TERRA INDS INC) appears to have interesting cyclic behaviour every 30 weeks (3497.789*sine), 36 weeks (3455.301*sine), and 32 weeks (1808.155*sine).

TRA (TERRA INDS INC) has an average price of 42,268.85 (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 2/22/2010 to 1/16/2017 for TRA (TERRA INDS INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
042,268.85   0 
16,162.077 -28,300 (1*2π)/357357 weeks
213,400.55 -14,247.03 (2*2π)/357179 weeks
31,716.761 -14,445.11 (3*2π)/357119 weeks
42,356.255 -10,969.67 (4*2π)/35789 weeks
5-1,488.373 -10,291.49 (5*2π)/35771 weeks
6-1,473.663 -7,870.929 (6*2π)/35760 weeks
7-1,876.144 -3,393.414 (7*2π)/35751 weeks
8-1,625.69 -4,059.916 (8*2π)/35745 weeks
974.00396 -1,912.585 (9*2π)/35740 weeks
10-687.4208 -3,455.301 (10*2π)/35736 weeks
11-70.12038 -1,808.155 (11*2π)/35732 weeks
12-117.2806 -3,497.789 (12*2π)/35730 weeks
133.00423 -2,333.474 (13*2π)/35727 weeks
14-306.0466 -2,865.452 (14*2π)/35726 weeks
15-356.8166 -1,894.947 (15*2π)/35724 weeks
16-510.774 -2,251.058 (16*2π)/35722 weeks
17-478.6528 -1,690.271 (17*2π)/35721 weeks
18-918.7632 -2,063.521 (18*2π)/35720 weeks
19-417.2486 -1,258.856 (19*2π)/35719 weeks
20-767.6339 -1,169.958 (20*2π)/35718 weeks
2164.80624 -837.1078 (21*2π)/35717 weeks
2280.08028 -1,274.14 (22*2π)/35716 weeks
23229.9299 -1,050.144 (23*2π)/35716 weeks
24403.8156 -910.4984 (24*2π)/35715 weeks
25413.892 -2,219.833 (25*2π)/35714 weeks
26-118.2208 -1,213.041 (26*2π)/35714 weeks
27-342.6133 -2,024.711 (27*2π)/35713 weeks
28-569.5673 -1,323.539 (28*2π)/35713 weeks
29-651.0619 -1,722.804 (29*2π)/35712 weeks
30-685.0103 -853.2806 (30*2π)/35712 weeks
31-634.1486 -711.4726 (31*2π)/35712 weeks
32-165.6559 -794.3215 (32*2π)/35711 weeks
33-416.0313 -977.7059 (33*2π)/35711 weeks
34-351.2537 -869.1017 (34*2π)/35711 weeks
35-317.5501 -603.9547 (35*2π)/35710 weeks
36-185.6568 -1,046.152 (36*2π)/35710 weeks
37-305.3515 -847.7755 (37*2π)/35710 weeks
38-561.9471 -1,043.925 (38*2π)/3579 weeks
39-321.7604 -445.4848 (39*2π)/3579 weeks
40-448.9962 -961.0165 (40*2π)/3579 weeks
41-335.9164 -332.8369 (41*2π)/3579 weeks
42-525.0447 -607.757 (42*2π)/3579 weeks
43-57.73608 -165.5338 (43*2π)/3578 weeks
44-40.54361 -686.8298 (44*2π)/3578 weeks
4596.60352 -679.7062 (45*2π)/3578 weeks
46-66.52478 -635.257 (46*2π)/3578 weeks
47101.4866 -1,013.743 (47*2π)/3578 weeks
48-253.8973 -718.3127 (48*2π)/3577 weeks
49-382.9788 -1,016.115 (49*2π)/3577 weeks
50-342.9037 -498.7318 (50*2π)/3577 weeks
51-423.8232 -715.7208 (51*2π)/3577 weeks
52-281.2711 -555.3508 (52*2π)/3577 weeks
53-355.5778 -601.2945 (53*2π)/3577 weeks
54-277.2194 -581.6778 (54*2π)/3577 weeks
55-307.383 -725.5276 (55*2π)/3576 weeks
56-366.313 -498.7588 (56*2π)/3576 weeks
57-430.5261 -691.5664 (57*2π)/3576 weeks
58-459.4799 -298.5415 (58*2π)/3576 weeks
59-370.9966 -654.0726 (59*2π)/3576 weeks
60-448.2234 -329.8259 (60*2π)/3576 weeks
61-375.6885 -315.9604 (61*2π)/3576 weeks
62-258.1505 -365.6328 (62*2π)/3576 weeks
63-309.2715 -371.5271 (63*2π)/3576 weeks
64-243.7599 -475.819 (64*2π)/3576 weeks
65-285.4647 -89.16685 (65*2π)/3575 weeks
66-109.9148 -587.8312 (66*2π)/3575 weeks
67-198.6041 -185.0853 (67*2π)/3575 weeks
68-63.68084 -530.5126 (68*2π)/3575 weeks
69-119.1312 -324.0593 (69*2π)/3575 weeks
70-281.8906 -712.0392 (70*2π)/3575 weeks
71-245.6725 -641.6871 (71*2π)/3575 weeks
72-474.3843 -366.6442 (72*2π)/3575 weeks
73-418.4245 -548.3843 (73*2π)/3575 weeks
74-466.3868 -174.5741 (74*2π)/3575 weeks
75-238.1494 -364.7134 (75*2π)/3575 weeks
76-260.5274 -120.2586 (76*2π)/3575 weeks
77-257.6575 -538.5643 (77*2π)/3575 weeks
78-242.7512 -309.8979 (78*2π)/3575 weeks
79-308.0461 -486.5027 (79*2π)/3575 weeks
80-380.9254 -290.4688 (80*2π)/3574 weeks
81-285.3704 -380.3502 (81*2π)/3574 weeks
82-459.2002 -125.5923 (82*2π)/3574 weeks
83-44.14611 -182.5998 (83*2π)/3574 weeks
84-298.8426 -371.1733 (84*2π)/3574 weeks
85-260.9114 -258.9774 (85*2π)/3574 weeks
86-273.8847 -291.8451 (86*2π)/3574 weeks
87-275.2647 -263.128 (87*2π)/3574 weeks
88-190.4087 -215.5057 (88*2π)/3574 weeks
89-185.4429 -230.6707 (89*2π)/3574 weeks
90-108.8802 -362.3902 (90*2π)/3574 weeks
91-221.0759 -267.9116 (91*2π)/3574 weeks
92-260.262 -496.1815 (92*2π)/3574 weeks
93-330.9061 -279.158 (93*2π)/3574 weeks
94-310.2853 -508.9291 (94*2π)/3574 weeks
95-369.0196 -296.9361 (95*2π)/3574 weeks
96-528.3432 -365.0979 (96*2π)/3574 weeks
97-331.4004 -133.5772 (97*2π)/3574 weeks
98-347.8859 -223.4727 (98*2π)/3574 weeks
99-214.7488 -267.5316 (99*2π)/3574 weeks
100-352.2896 -291.1209 (100*2π)/3574 weeks
101-280.0045 -283.1657 (101*2π)/3574 weeks
102-436.1571 -193.432 (102*2π)/3574 weeks
103-275.3289 -269.8578 (103*2π)/3573 weeks
104-457.1034 -123.451 (104*2π)/3573 weeks
105-253.2729 -156.9667 (105*2π)/3573 weeks
106-294.3126 -3.33337 (106*2π)/3573 weeks
107-83.54962 -123.9219 (107*2π)/3573 weeks
108-112.1902 -220.9117 (108*2π)/3573 weeks
109-158.0738 -263.808 (109*2π)/3573 weeks
110-173.6573 -258.2088 (110*2π)/3573 weeks
111-256.7149 -272.2273 (111*2π)/3573 weeks
112-163.3234 -265.3093 (112*2π)/3573 weeks
113-298.6202 -260.9866 (113*2π)/3573 weeks
114-182.8345 -362.6235 (114*2π)/3573 weeks
115-421.893 -310.8142 (115*2π)/3573 weeks
116-434.3254 -377.971 (116*2π)/3573 weeks
117-451.6152 -145.0363 (117*2π)/3573 weeks
118-423.6103 -239.6491 (118*2π)/3573 weeks
119-431.7436 .09267 (119*2π)/3573 weeks
120-396.9837 -150.8997 (120*2π)/3573 weeks
121-277.9086 86.23795 (121*2π)/3573 weeks
122-148.2737 -153.4811 (122*2π)/3573 weeks
123-216.2826 -176.3413 (123*2π)/3573 weeks
124-288.9472 -235.5443 (124*2π)/3573 weeks
125-231.4128 -212.9677 (125*2π)/3573 weeks
126-381.7597 -210.412 (126*2π)/3573 weeks
127-269.0483 -65.13527 (127*2π)/3573 weeks
128-403.4853 -280.5645 (128*2π)/3573 weeks
129-301.6578 -115.6018 (129*2π)/3573 weeks
130-424.6128 3.11935 (130*2π)/3573 weeks
131-274.7896 -56.11898 (131*2π)/3573 weeks
132-284.1197 171.4194 (132*2π)/3573 weeks
1336.33299 -164.3092 (133*2π)/3573 weeks
134-251.2971 -17.57208 (134*2π)/3573 weeks
135-13.43184 -235.248 (135*2π)/3573 weeks
136-242.286 -203.185 (136*2π)/3573 weeks
137-211.8984 -270.8019 (137*2π)/3573 weeks
138-359.4572 -234.4073 (138*2π)/3573 weeks
139-412.8568 -244.8155 (139*2π)/3573 weeks
140-403.4019 -163.8629 (140*2π)/3573 weeks
141-425.887 -68.84647 (141*2π)/3573 weeks
142-311.3682 -48.24022 (142*2π)/3573 weeks
143-348.0943 37.20699 (143*2π)/3572 weeks
144-182.2711 -61.70317 (144*2π)/3572 weeks
145-388.2018 -38.83945 (145*2π)/3572 weeks
146-209.2241 -60.88385 (146*2π)/3572 weeks
147-312.8163 12.80562 (147*2π)/3572 weeks
148-203.1127 -190.4044 (148*2π)/3572 weeks
149-364.4185 -31.03804 (149*2π)/3572 weeks
150-224.8589 -89.38068 (150*2π)/3572 weeks
151-324.8603 53.15243 (151*2π)/3572 weeks
152-125.8249 -61.97773 (152*2π)/3572 weeks
153-208.2653 -121.8761 (153*2π)/3572 weeks
154-332.1778 -149.6392 (154*2π)/3572 weeks
155-297.1274 -132.4265 (155*2π)/3572 weeks
156-438.8084 -56.20661 (156*2π)/3572 weeks
157-213.3355 -3.40312 (157*2π)/3572 weeks
158-313.2282 -14.90806 (158*2π)/3572 weeks
159-111.9075 -46.39579 (159*2π)/3572 weeks
160-293.3031 -150.8261 (160*2π)/3572 weeks
161-297.4999 -119.5877 (161*2π)/3572 weeks
162-333.6206 -81.881 (162*2π)/3572 weeks
163-354.8647 -110.4528 (163*2π)/3572 weeks
164-363.9485 12.18209 (164*2π)/3572 weeks
165-242.6455 32.04483 (165*2π)/3572 weeks
166-327.0077 -13.7269 (166*2π)/3572 weeks
167-201.0954 64.86984 (167*2π)/3572 weeks
168-274.7746 -38.83272 (168*2π)/3572 weeks
169-223.4923 -17.99909 (169*2π)/3572 weeks
170-233.8698 -141.4689 (170*2π)/3572 weeks
171-447.9611 15.69604 (171*2π)/3572 weeks
172-162.3559 7.60457 (172*2π)/3572 weeks
173-417.7974 -17.22057 (173*2π)/3572 weeks
174-157.9561 24.34066 (174*2π)/3572 weeks
175-405.485 -15.18838 (175*2π)/3572 weeks
176-265.2518 23.38739 (176*2π)/3572 weeks
177-264.3277 88.53322 (177*2π)/3572 weeks
178-326.2599 -124.5238 (178*2π)/3572 weeks
179-326.2599 124.5238 (179*2π)/3572 weeks
180-264.3277 -88.53322 (180*2π)/3572 weeks
181-265.2518 -23.38739 (181*2π)/3572 weeks
182-405.485 15.18838 (182*2π)/3572 weeks
183-157.9561 -24.34066 (183*2π)/3572 weeks
184-417.7974 17.22057 (184*2π)/3572 weeks
185-162.3559 -7.60457 (185*2π)/3572 weeks
186-447.9611 -15.69604 (186*2π)/3572 weeks
187-233.8698 141.4689 (187*2π)/3572 weeks
188-223.4923 17.99909 (188*2π)/3572 weeks
189-274.7746 38.83272 (189*2π)/3572 weeks
190-201.0954 -64.86984 (190*2π)/3572 weeks
191-327.0077 13.7269 (191*2π)/3572 weeks
192-242.6455 -32.04483 (192*2π)/3572 weeks
193-363.9485 -12.18209 (193*2π)/3572 weeks
194-354.8647 110.4528 (194*2π)/3572 weeks
195-333.6206 81.881 (195*2π)/3572 weeks
196-297.4999 119.5877 (196*2π)/3572 weeks
197-293.3031 150.8261 (197*2π)/3572 weeks
198-111.9075 46.39579 (198*2π)/3572 weeks
199-313.2282 14.90806 (199*2π)/3572 weeks
200-213.3355 3.40312 (200*2π)/3572 weeks
201-438.8084 56.20661 (201*2π)/3572 weeks
202-297.1274 132.4265 (202*2π)/3572 weeks
203-332.1778 149.6392 (203*2π)/3572 weeks
204-208.2653 121.8761 (204*2π)/3572 weeks
205-125.8249 61.97773 (205*2π)/3572 weeks
206-324.8603 -53.15243 (206*2π)/3572 weeks
207-224.8589 89.38068 (207*2π)/3572 weeks
208-364.4185 31.03804 (208*2π)/3572 weeks
209-203.1127 190.4044 (209*2π)/3572 weeks
210-312.8163 -12.80562 (210*2π)/3572 weeks
211-209.2241 60.88385 (211*2π)/3572 weeks
212-388.2018 38.83945 (212*2π)/3572 weeks
213-182.2711 61.70317 (213*2π)/3572 weeks
214-348.0943 -37.20699 (214*2π)/3572 weeks
215-311.3682 48.24022 (215*2π)/3572 weeks
216-425.887 68.84647 (216*2π)/3572 weeks
217-403.4019 163.8629 (217*2π)/3572 weeks
218-412.8568 244.8155 (218*2π)/3572 weeks
219-359.4572 234.4073 (219*2π)/3572 weeks
220-211.8984 270.8019 (220*2π)/3572 weeks
221-242.286 203.185 (221*2π)/3572 weeks
222-13.43184 235.248 (222*2π)/3572 weeks
223-251.2971 17.57208 (223*2π)/3572 weeks
2246.33299 164.3092 (224*2π)/3572 weeks
225-284.1197 -171.4194 (225*2π)/3572 weeks
226-274.7896 56.11898 (226*2π)/3572 weeks
227-424.6128 -3.11935 (227*2π)/3572 weeks
228-301.6578 115.6018 (228*2π)/3572 weeks
229-403.4853 280.5645 (229*2π)/3572 weeks
230-269.0483 65.13527 (230*2π)/3572 weeks
231-381.7597 210.412 (231*2π)/3572 weeks
232-231.4128 212.9677 (232*2π)/3572 weeks
233-288.9472 235.5443 (233*2π)/3572 weeks
234-216.2826 176.3413 (234*2π)/3572 weeks
235-148.2737 153.4811 (235*2π)/3572 weeks
236-277.9086 -86.23795 (236*2π)/3572 weeks
237-396.9837 150.8997 (237*2π)/3572 weeks
238-431.7436 -.09267 (238*2π)/3572 weeks
239-423.6103 239.6491 (239*2π)/3571 weeks
240-451.6152 145.0363 (240*2π)/3571 weeks
241-434.3254 377.971 (241*2π)/3571 weeks
242-421.893 310.8142 (242*2π)/3571 weeks
243-182.8345 362.6235 (243*2π)/3571 weeks
244-298.6202 260.9866 (244*2π)/3571 weeks
245-163.3234 265.3093 (245*2π)/3571 weeks
246-256.7149 272.2273 (246*2π)/3571 weeks
247-173.6573 258.2088 (247*2π)/3571 weeks
248-158.0738 263.808 (248*2π)/3571 weeks
249-112.1902 220.9117 (249*2π)/3571 weeks
250-83.54962 123.9219 (250*2π)/3571 weeks
251-294.3126 3.33337 (251*2π)/3571 weeks
252-253.2729 156.9667 (252*2π)/3571 weeks
253-457.1034 123.451 (253*2π)/3571 weeks
254-275.3289 269.8578 (254*2π)/3571 weeks
255-436.1571 193.432 (255*2π)/3571 weeks
256-280.0045 283.1657 (256*2π)/3571 weeks
257-352.2896 291.1209 (257*2π)/3571 weeks
258-214.7488 267.5316 (258*2π)/3571 weeks
259-347.8859 223.4727 (259*2π)/3571 weeks
260-331.4004 133.5772 (260*2π)/3571 weeks
261-528.3432 365.0979 (261*2π)/3571 weeks
262-369.0196 296.9361 (262*2π)/3571 weeks
263-310.2853 508.9291 (263*2π)/3571 weeks
264-330.9061 279.158 (264*2π)/3571 weeks
265-260.262 496.1815 (265*2π)/3571 weeks
266-221.0759 267.9116 (266*2π)/3571 weeks
267-108.8802 362.3902 (267*2π)/3571 weeks
268-185.4429 230.6707 (268*2π)/3571 weeks
269-190.4087 215.5057 (269*2π)/3571 weeks
270-275.2647 263.128 (270*2π)/3571 weeks
271-273.8847 291.8451 (271*2π)/3571 weeks
272-260.9114 258.9774 (272*2π)/3571 weeks
273-298.8426 371.1733 (273*2π)/3571 weeks
274-44.14611 182.5998 (274*2π)/3571 weeks
275-459.2002 125.5923 (275*2π)/3571 weeks
276-285.3704 380.3502 (276*2π)/3571 weeks
277-380.9254 290.4688 (277*2π)/3571 weeks
278-308.0461 486.5027 (278*2π)/3571 weeks
279-242.7512 309.8979 (279*2π)/3571 weeks
280-257.6575 538.5643 (280*2π)/3571 weeks
281-260.5274 120.2586 (281*2π)/3571 weeks
282-238.1494 364.7134 (282*2π)/3571 weeks
283-466.3868 174.5741 (283*2π)/3571 weeks
284-418.4245 548.3843 (284*2π)/3571 weeks
285-474.3843 366.6442 (285*2π)/3571 weeks
286-245.6725 641.6871 (286*2π)/3571 weeks
287-281.8906 712.0392 (287*2π)/3571 weeks
288-119.1312 324.0593 (288*2π)/3571 weeks
289-63.68084 530.5126 (289*2π)/3571 weeks
290-198.6041 185.0853 (290*2π)/3571 weeks
291-109.9148 587.8312 (291*2π)/3571 weeks
292-285.4647 89.16685 (292*2π)/3571 weeks
293-243.7599 475.819 (293*2π)/3571 weeks
294-309.2715 371.5271 (294*2π)/3571 weeks
295-258.1505 365.6328 (295*2π)/3571 weeks
296-375.6885 315.9604 (296*2π)/3571 weeks
297-448.2234 329.8259 (297*2π)/3571 weeks
298-370.9966 654.0726 (298*2π)/3571 weeks
299-459.4799 298.5415 (299*2π)/3571 weeks
300-430.5261 691.5664 (300*2π)/3571 weeks
301-366.313 498.7588 (301*2π)/3571 weeks
302-307.383 725.5276 (302*2π)/3571 weeks
303-277.2194 581.6778 (303*2π)/3571 weeks
304-355.5778 601.2945 (304*2π)/3571 weeks
305-281.2711 555.3508 (305*2π)/3571 weeks
306-423.8232 715.7208 (306*2π)/3571 weeks
307-342.9037 498.7318 (307*2π)/3571 weeks
308-382.9788 1,016.115 (308*2π)/3571 weeks
309-253.8973 718.3127 (309*2π)/3571 weeks
310101.4866 1,013.743 (310*2π)/3571 weeks
311-66.52478 635.257 (311*2π)/3571 weeks
31296.60352 679.7062 (312*2π)/3571 weeks
313-40.54361 686.8298 (313*2π)/3571 weeks
314-57.73608 165.5338 (314*2π)/3571 weeks
315-525.0447 607.757 (315*2π)/3571 weeks
316-335.9164 332.8369 (316*2π)/3571 weeks
317-448.9962 961.0165 (317*2π)/3571 weeks
318-321.7604 445.4848 (318*2π)/3571 weeks
319-561.9471 1,043.925 (319*2π)/3571 weeks
320-305.3515 847.7755 (320*2π)/3571 weeks
321-185.6568 1,046.152 (321*2π)/3571 weeks
322-317.5501 603.9547 (322*2π)/3571 weeks
323-351.2537 869.1017 (323*2π)/3571 weeks
324-416.0313 977.7059 (324*2π)/3571 weeks
325-165.6559 794.3215 (325*2π)/3571 weeks
326-634.1486 711.4726 (326*2π)/3571 weeks
327-685.0103 853.2806 (327*2π)/3571 weeks
328-651.0619 1,722.804 (328*2π)/3571 weeks
329-569.5673 1,323.539 (329*2π)/3571 weeks
330-342.6133 2,024.711 (330*2π)/3571 weeks
331-118.2208 1,213.041 (331*2π)/3571 weeks
332413.892 2,219.833 (332*2π)/3571 weeks
333403.8156 910.4984 (333*2π)/3571 weeks
334229.9299 1,050.144 (334*2π)/3571 weeks
33580.08028 1,274.14 (335*2π)/3571 weeks
33664.80624 837.1078 (336*2π)/3571 weeks
337-767.6339 1,169.958 (337*2π)/3571 weeks
338-417.2486 1,258.856 (338*2π)/3571 weeks
339-918.7632 2,063.521 (339*2π)/3571 weeks
340-478.6528 1,690.271 (340*2π)/3571 weeks
341-510.774 2,251.058 (341*2π)/3571 weeks
342-356.8166 1,894.947 (342*2π)/3571 weeks
343-306.0466 2,865.452 (343*2π)/3571 weeks
3443.00423 2,333.474 (344*2π)/3571 weeks
345-117.2806 3,497.789 (345*2π)/3571 weeks
346-70.12038 1,808.155 (346*2π)/3571 weeks
347-687.4208 3,455.301 (347*2π)/3571 weeks
34874.00396 1,912.585 (348*2π)/3571 weeks
349-1,625.69 4,059.916 (349*2π)/3571 weeks
350-1,876.144 3,393.414 (350*2π)/3571 weeks
351-1,473.663 7,870.929 (351*2π)/3571 weeks
352-1,488.373 10,291.49 (352*2π)/3571 weeks
3532,356.255 10,969.67 (353*2π)/3571 weeks
3541,716.761 14,445.11 (354*2π)/3571 weeks
35513,400.55 14,247.03 (355*2π)/3571 weeks

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