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Fourier Analysis of IIG (Imergent, Inc. Common Stock)


IIG (Imergent, Inc. Common Stock) appears to have interesting cyclic behaviour every 3 weeks (3073.445*cosine), 2 weeks (3073.445*cosine), and 2 weeks (3040.476*cosine).

IIG (Imergent, Inc. Common Stock) has an average price of 1,581.1 (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 6/20/2005 to 1/16/2017 for IIG (Imergent, Inc. Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,581.097   0 
1232.3318 3,137.649 (1*2π)/305305 weeks
2-3,089.019 433.4487 (2*2π)/305153 weeks
3-616.6252 -3,049.663 (3*2π)/305102 weeks
43,014.178 -814.9422 (4*2π)/30576 weeks
51,029.174 2,950.864 (5*2π)/30561 weeks
6-2,852.448 1,229.962 (6*2π)/30551 weeks
7-1,404.53 -2,743.049 (7*2π)/30544 weeks
82,637.079 -1,570.474 (8*2π)/30538 weeks
91,740.823 2,521.025 (9*2π)/30534 weeks
10-2,382.546 1,903.411 (10*2π)/30531 weeks
11-2,044.927 -2,232.132 (11*2π)/30528 weeks
122,083.258 -2,172.823 (12*2π)/30525 weeks
132,298.999 1,930.646 (13*2π)/30523 weeks
14-1,763.604 2,418.54 (14*2π)/30522 weeks
15-2,520.591 -1,586.536 (15*2π)/30520 weeks
161,409.971 -2,607.948 (16*2π)/30519 weeks
172,689.371 1,231.883 (17*2π)/30518 weeks
18-1,044.725 2,761.554 (18*2π)/30517 weeks
19-2,815.968 -853.3802 (19*2π)/30516 weeks
20668.4388 -2,857.607 (20*2π)/30515 weeks
212,898.885 485.7643 (21*2π)/30515 weeks
22-290.8699 2,936.994 (22*2π)/30514 weeks
23-2,955.133 -83.58128 (23*2π)/30513 weeks
24-118.7575 -2,948.162 (24*2π)/30513 weeks
252,930.932 -306.2078 (25*2π)/30512 weeks
26489.4804 2,916.127 (26*2π)/30512 weeks
27-2,897.342 682.4032 (27*2π)/30511 weeks
28-883.4014 -2,860.81 (28*2π)/30511 weeks
292,802.986 -1,081.347 (29*2π)/30511 weeks
301,269.839 2,729.445 (30*2π)/30510 weeks
31-2,645.483 1,448.721 (31*2π)/30510 weeks
32-1,620.01 -2,554.584 (32*2π)/30510 weeks
332,457.88 -1,788.81 (33*2π)/3059 weeks
341,959.838 2,348.93 (34*2π)/3059 weeks
35-2,217.905 2,126.894 (35*2π)/3059 weeks
36-2,275.434 -2,067.422 (36*2π)/3058 weeks
371,913.611 -2,402.823 (37*2π)/3058 weeks
382,524.491 1,762.875 (38*2π)/3058 weeks
39-1,599.837 2,649.325 (39*2π)/3058 weeks
40-2,761.374 -1,411.693 (40*2π)/3058 weeks
411,212.782 -2,842.375 (41*2π)/3057 weeks
422,902.344 1,025.489 (42*2π)/3057 weeks
43-844.2465 2,965.505 (43*2π)/3057 weeks
44-3,029.966 -643.0111 (44*2π)/3057 weeks
45418.3424 -3,067.218 (45*2π)/3057 weeks
463,065.829 198.838 (46*2π)/3057 weeks
47-3.40323 3,050.038 (47*2π)/3056 weeks
48-3,042.677 185.6959 (48*2π)/3056 weeks
49-392.675 -3,031.711 (49*2π)/3056 weeks
502,992.13 -610.8525 (50*2π)/3056 weeks
51816.1089 2,924.395 (51*2π)/3056 weeks
52-2,848.43 1,003.845 (52*2π)/3056 weeks
53-1,188.565 -2,769.902 (53*2π)/3056 weeks
542,677.314 -1,374.011 (54*2π)/3056 weeks
551,548.982 2,568.532 (55*2π)/3056 weeks
56-2,454.989 1,711.879 (56*2π)/3055 weeks
57-1,874.69 -2,337.472 (57*2π)/3055 weeks
582,201.654 -2,037.79 (58*2π)/3055 weeks
592,183.659 2,044.92 (59*2π)/3055 weeks
60-1,885.91 2,305.132 (60*2π)/3055 weeks
61-2,419.364 -1,735.812 (61*2π)/3055 weeks
621,579.408 -2,540.088 (62*2π)/3055 weeks
632,653.773 1,400.346 (63*2π)/3055 weeks
64-1,209.216 2,741.16 (64*2π)/3055 weeks
65-2,808.605 -1,026.64 (65*2π)/3055 weeks
66849.6812 -2,876.339 (66*2π)/3055 weeks
672,943.611 658.1144 (67*2π)/3055 weeks
68-449.5511 2,989.253 (68*2π)/3054 weeks
69-3,005.966 -244.7307 (69*2π)/3054 weeks
7055.43113 -3,011.398 (70*2π)/3054 weeks
713,019.777 -131.9233 (71*2π)/3054 weeks
72333.1155 3,021.317 (72*2π)/3054 weeks
73-2,998.958 543.1248 (73*2π)/3054 weeks
74-746.0113 -2,951.458 (74*2π)/3054 weeks
752,889.788 -935.5348 (75*2π)/3054 weeks
761,116.132 2,821.176 (76*2π)/3054 weeks
77-2,746.141 1,292.903 (77*2π)/3054 weeks
78-1,469.613 -2,662.552 (78*2π)/3054 weeks
792,563.979 -1,648.089 (79*2π)/3054 weeks
801,821.085 2,442.618 (80*2π)/3054 weeks
81-2,302.53 1,974.64 (81*2π)/3054 weeks
82-2,106.719 -2,160.685 (82*2π)/3054 weeks
832,024.706 -2,233.823 (83*2π)/3054 weeks
842,367.545 1,879.585 (84*2π)/3054 weeks
85-1,709.837 2,494.565 (85*2π)/3054 weeks
86-2,595.462 -1,525.391 (86*2π)/3054 weeks
871,347.58 -2,675.134 (87*2π)/3054 weeks
882,754.392 1,175.706 (88*2π)/3053 weeks
89-989.5499 2,834.982 (89*2π)/3053 weeks
90-2,896.219 -784.6533 (90*2π)/3053 weeks
91581.3511 -2,929.5 (91*2π)/3053 weeks
922,952.723 392.0539 (92*2π)/3053 weeks
93-201.8729 2,980.393 (93*2π)/3053 weeks
94-3,000.03 5.30255 (94*2π)/3053 weeks
95-220.1192 -2,993.63 (95*2π)/3053 weeks
962,966.035 -424.2227 (96*2π)/3053 weeks
97618.8606 2,933.217 (97*2π)/3053 weeks
98-2,894.635 817.0195 (98*2π)/3053 weeks
99-1,017.342 -2,838.563 (99*2π)/3053 weeks
1002,766.822 -1,208.303 (100*2π)/3053 weeks
1011,392.588 2,690.714 (101*2π)/3053 weeks
102-2,605.505 1,582.868 (102*2π)/3053 weeks
103-1,773.601 -2,494.067 (103*2π)/3053 weeks
1042,358.753 -1,942.433 (104*2π)/3053 weeks
1052,085.721 2,224.43 (105*2π)/3053 weeks
106-2,100.477 2,228.15 (106*2π)/3053 weeks
107-2,384.401 -1,963.116 (107*2π)/3053 weeks
1081,791.287 -2,532.968 (108*2π)/3053 weeks
1092,646.773 1,600.625 (109*2π)/3053 weeks
110-1,420.423 2,733.08 (110*2π)/3053 weeks
111-2,819.415 -1,250.338 (111*2π)/3053 weeks
1121,065.248 -2,909.641 (112*2π)/3053 weeks
1132,980.225 857.3707 (113*2π)/3053 weeks
114-647.3388 3,018.686 (114*2π)/3053 weeks
115-3,040.476 -450.7384 (115*2π)/3053 weeks
116257.0394 -3,061.295 (116*2π)/3053 weeks
1173,073.445 51.11908 (117*2π)/3053 weeks
118162.0517 3,061.104 (118*2π)/3053 weeks
119-3,024.511 366.6164 (119*2π)/3053 weeks
120-557.9042 -2,976.31 (120*2π)/3053 weeks
1212,923.165 -743.2693 (121*2π)/3053 weeks
122928.6285 2,862.141 (122*2π)/3053 weeks
123-2,788.721 1,114.291 (123*2π)/3052 weeks
124-1,297.978 -2,699.162 (124*2π)/3052 weeks
1252,591.033 -1,473.319 (125*2π)/3052 weeks
1261,631.711 2,469.853 (126*2π)/3052 weeks
127-2,348.559 1,774.275 (127*2π)/3052 weeks
128-1,915.119 -2,231.291 (128*2π)/3052 weeks
1292,104.61 -2,062.943 (129*2π)/3052 weeks
1302,206.227 1,955.515 (130*2π)/3052 weeks
131-1,791.577 2,328.46 (131*2π)/3052 weeks
132-2,431.968 -1,630.178 (132*2π)/3052 weeks
1331,473.031 -2,532.316 (133*2π)/3052 weeks
1342,633.099 1,306.932 (134*2π)/3052 weeks
135-1,127.323 2,722.915 (135*2π)/3052 weeks
136-2,796.717 -943.6701 (136*2π)/3052 weeks
137760.1081 -2,862.256 (137*2π)/3052 weeks
1382,921.95 568.7117 (138*2π)/3052 weeks
139-367.3079 2,966.05 (139*2π)/3052 weeks
140-2,990.837 -166.7269 (140*2π)/3052 weeks
141-28.17607 -3,006.843 (141*2π)/3052 weeks
1423,018.969 -228.2945 (142*2π)/3052 weeks
143439.5762 3,014.602 (143*2π)/3052 weeks
144-2,984.936 648.4777 (144*2π)/3052 weeks
145-843.6822 -2,942.708 (145*2π)/3052 weeks
1462,900.43 -1,037.648 (146*2π)/3052 weeks
1471,245.382 2,844.215 (147*2π)/3052 weeks
148-2,753.376 1,452.762 (148*2π)/3052 weeks
149-1,632.776 -2,638.197 (149*2π)/3052 weeks
1502,529.317 -1,789.261 (150*2π)/3052 weeks
1511,954.304 2,429.13 (151*2π)/3052 weeks
152-2,304.327 2,136.923 (152*2π)/3052 weeks
153-2,304.327 -2,136.923 (153*2π)/3052 weeks
1541,954.304 -2,429.13 (154*2π)/3052 weeks
1552,529.317 1,789.261 (155*2π)/3052 weeks
156-1,632.776 2,638.197 (156*2π)/3052 weeks
157-2,753.376 -1,452.762 (157*2π)/3052 weeks
1581,245.382 -2,844.215 (158*2π)/3052 weeks
1592,900.43 1,037.648 (159*2π)/3052 weeks
160-843.6822 2,942.708 (160*2π)/3052 weeks
161-2,984.936 -648.4777 (161*2π)/3052 weeks
162439.5762 -3,014.602 (162*2π)/3052 weeks
1633,018.969 228.2945 (163*2π)/3052 weeks
164-28.17607 3,006.843 (164*2π)/3052 weeks
165-2,990.837 166.7269 (165*2π)/3052 weeks
166-367.3079 -2,966.05 (166*2π)/3052 weeks
1672,921.95 -568.7117 (167*2π)/3052 weeks
168760.1081 2,862.256 (168*2π)/3052 weeks
169-2,796.717 943.6701 (169*2π)/3052 weeks
170-1,127.323 -2,722.915 (170*2π)/3052 weeks
1712,633.099 -1,306.932 (171*2π)/3052 weeks
1721,473.031 2,532.316 (172*2π)/3052 weeks
173-2,431.968 1,630.178 (173*2π)/3052 weeks
174-1,791.577 -2,328.46 (174*2π)/3052 weeks
1752,206.227 -1,955.515 (175*2π)/3052 weeks
1762,104.61 2,062.943 (176*2π)/3052 weeks
177-1,915.119 2,231.291 (177*2π)/3052 weeks
178-2,348.559 -1,774.275 (178*2π)/3052 weeks
1791,631.711 -2,469.853 (179*2π)/3052 weeks
1802,591.033 1,473.319 (180*2π)/3052 weeks
181-1,297.978 2,699.162 (181*2π)/3052 weeks
182-2,788.721 -1,114.291 (182*2π)/3052 weeks
183928.6285 -2,862.141 (183*2π)/3052 weeks
1842,923.165 743.2693 (184*2π)/3052 weeks
185-557.9042 2,976.31 (185*2π)/3052 weeks
186-3,024.511 -366.6164 (186*2π)/3052 weeks
187162.0517 -3,061.104 (187*2π)/3052 weeks
1883,073.445 -51.11908 (188*2π)/3052 weeks
189257.0394 3,061.295 (189*2π)/3052 weeks
190-3,040.476 450.7384 (190*2π)/3052 weeks
191-647.3388 -3,018.686 (191*2π)/3052 weeks
1922,980.225 -857.3707 (192*2π)/3052 weeks
1931,065.248 2,909.641 (193*2π)/3052 weeks
194-2,819.415 1,250.338 (194*2π)/3052 weeks
195-1,420.423 -2,733.08 (195*2π)/3052 weeks
1962,646.773 -1,600.625 (196*2π)/3052 weeks
1971,791.287 2,532.968 (197*2π)/3052 weeks
198-2,384.401 1,963.116 (198*2π)/3052 weeks
199-2,100.477 -2,228.15 (199*2π)/3052 weeks
2002,085.721 -2,224.43 (200*2π)/3052 weeks
2012,358.753 1,942.433 (201*2π)/3052 weeks
202-1,773.601 2,494.067 (202*2π)/3052 weeks
203-2,605.505 -1,582.868 (203*2π)/3052 weeks
2041,392.588 -2,690.714 (204*2π)/3051 weeks
2052,766.822 1,208.303 (205*2π)/3051 weeks
206-1,017.342 2,838.563 (206*2π)/3051 weeks
207-2,894.635 -817.0195 (207*2π)/3051 weeks
208618.8606 -2,933.217 (208*2π)/3051 weeks
2092,966.035 424.2227 (209*2π)/3051 weeks
210-220.1192 2,993.63 (210*2π)/3051 weeks
211-3,000.03 -5.30255 (211*2π)/3051 weeks
212-201.8729 -2,980.393 (212*2π)/3051 weeks
2132,952.723 -392.0539 (213*2π)/3051 weeks
214581.3511 2,929.5 (214*2π)/3051 weeks
215-2,896.219 784.6533 (215*2π)/3051 weeks
216-989.5499 -2,834.982 (216*2π)/3051 weeks
2172,754.392 -1,175.706 (217*2π)/3051 weeks
2181,347.58 2,675.134 (218*2π)/3051 weeks
219-2,595.462 1,525.391 (219*2π)/3051 weeks
220-1,709.837 -2,494.565 (220*2π)/3051 weeks
2212,367.545 -1,879.585 (221*2π)/3051 weeks
2222,024.706 2,233.823 (222*2π)/3051 weeks
223-2,106.719 2,160.685 (223*2π)/3051 weeks
224-2,302.53 -1,974.64 (224*2π)/3051 weeks
2251,821.085 -2,442.618 (225*2π)/3051 weeks
2262,563.979 1,648.089 (226*2π)/3051 weeks
227-1,469.613 2,662.552 (227*2π)/3051 weeks
228-2,746.141 -1,292.903 (228*2π)/3051 weeks
2291,116.132 -2,821.176 (229*2π)/3051 weeks
2302,889.788 935.5348 (230*2π)/3051 weeks
231-746.0113 2,951.458 (231*2π)/3051 weeks
232-2,998.958 -543.1248 (232*2π)/3051 weeks
233333.1155 -3,021.317 (233*2π)/3051 weeks
2343,019.777 131.9233 (234*2π)/3051 weeks
23555.43113 3,011.398 (235*2π)/3051 weeks
236-3,005.966 244.7307 (236*2π)/3051 weeks
237-449.5511 -2,989.253 (237*2π)/3051 weeks
2382,943.611 -658.1144 (238*2π)/3051 weeks
239849.6812 2,876.339 (239*2π)/3051 weeks
240-2,808.605 1,026.64 (240*2π)/3051 weeks
241-1,209.216 -2,741.16 (241*2π)/3051 weeks
2422,653.773 -1,400.346 (242*2π)/3051 weeks
2431,579.408 2,540.088 (243*2π)/3051 weeks
244-2,419.364 1,735.812 (244*2π)/3051 weeks
245-1,885.91 -2,305.132 (245*2π)/3051 weeks
2462,183.659 -2,044.92 (246*2π)/3051 weeks
2472,201.654 2,037.79 (247*2π)/3051 weeks
248-1,874.69 2,337.472 (248*2π)/3051 weeks
249-2,454.989 -1,711.879 (249*2π)/3051 weeks
2501,548.982 -2,568.532 (250*2π)/3051 weeks
2512,677.314 1,374.011 (251*2π)/3051 weeks
252-1,188.565 2,769.902 (252*2π)/3051 weeks
253-2,848.43 -1,003.845 (253*2π)/3051 weeks
254816.1089 -2,924.395 (254*2π)/3051 weeks
2552,992.13 610.8525 (255*2π)/3051 weeks
256-392.675 3,031.711 (256*2π)/3051 weeks
257-3,042.677 -185.6959 (257*2π)/3051 weeks
258-3.40323 -3,050.038 (258*2π)/3051 weeks
2593,065.829 -198.838 (259*2π)/3051 weeks
260418.3424 3,067.218 (260*2π)/3051 weeks
261-3,029.966 643.0111 (261*2π)/3051 weeks
262-844.2465 -2,965.505 (262*2π)/3051 weeks
2632,902.344 -1,025.489 (263*2π)/3051 weeks
2641,212.782 2,842.375 (264*2π)/3051 weeks
265-2,761.374 1,411.693 (265*2π)/3051 weeks
266-1,599.837 -2,649.325 (266*2π)/3051 weeks
2672,524.491 -1,762.875 (267*2π)/3051 weeks
2681,913.611 2,402.823 (268*2π)/3051 weeks
269-2,275.434 2,067.422 (269*2π)/3051 weeks
270-2,217.905 -2,126.894 (270*2π)/3051 weeks
2711,959.838 -2,348.93 (271*2π)/3051 weeks
2722,457.88 1,788.81 (272*2π)/3051 weeks
273-1,620.01 2,554.584 (273*2π)/3051 weeks
274-2,645.483 -1,448.721 (274*2π)/3051 weeks
2751,269.839 -2,729.445 (275*2π)/3051 weeks
2762,802.986 1,081.347 (276*2π)/3051 weeks
277-883.4014 2,860.81 (277*2π)/3051 weeks
278-2,897.342 -682.4032 (278*2π)/3051 weeks
279489.4804 -2,916.127 (279*2π)/3051 weeks
2802,930.932 306.2078 (280*2π)/3051 weeks
281-118.7575 2,948.162 (281*2π)/3051 weeks
282-2,955.133 83.58128 (282*2π)/3051 weeks
283-290.8699 -2,936.994 (283*2π)/3051 weeks
2842,898.885 -485.7643 (284*2π)/3051 weeks
285668.4388 2,857.607 (285*2π)/3051 weeks
286-2,815.968 853.3802 (286*2π)/3051 weeks
287-1,044.725 -2,761.554 (287*2π)/3051 weeks
2882,689.371 -1,231.883 (288*2π)/3051 weeks
2891,409.971 2,607.948 (289*2π)/3051 weeks
290-2,520.591 1,586.536 (290*2π)/3051 weeks
291-1,763.604 -2,418.54 (291*2π)/3051 weeks
2922,298.999 -1,930.646 (292*2π)/3051 weeks
2932,083.258 2,172.823 (293*2π)/3051 weeks
294-2,044.927 2,232.132 (294*2π)/3051 weeks
295-2,382.546 -1,903.411 (295*2π)/3051 weeks
2961,740.823 -2,521.025 (296*2π)/3051 weeks
2972,637.079 1,570.474 (297*2π)/3051 weeks
298-1,404.53 2,743.049 (298*2π)/3051 weeks
299-2,852.448 -1,229.962 (299*2π)/3051 weeks
3001,029.174 -2,950.864 (300*2π)/3051 weeks
3013,014.178 814.9422 (301*2π)/3051 weeks
302-616.6252 3,049.663 (302*2π)/3051 weeks
303-3,089.019 -433.4487 (303*2π)/3051 weeks

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