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


IIG (Imergent, Inc. Common Stock) appears to have interesting cyclic behaviour every 2 weeks (3056.608*cosine), 2 weeks (3021.893*sine), and 2 weeks (2992.702*cosine).

IIG (Imergent, Inc. Common Stock) has an average price of 1,535.79 (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 3/20/2017 for IIG (Imergent, Inc. Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,535.788   0 
1356.5713 3,035.938 (1*2π)/314314 weeks
2-2,954.042 679.0085 (2*2π)/314157 weeks
3-977.3701 -2,859.438 (3*2π)/314105 weeks
42,747.528 -1,281.182 (4*2π)/31479 weeks
51,587.783 2,588.37 (5*2π)/31463 weeks
6-2,377.148 1,865.119 (6*2π)/31452 weeks
7-2,098.506 -2,140.432 (7*2π)/31445 weeks
81,894.834 -2,303.823 (8*2π)/31439 weeks
92,492.279 1,629.286 (9*2π)/31435 weeks
10-1,334.444 2,650.267 (10*2π)/31431 weeks
11-2,763.796 -1,023.905 (11*2π)/31429 weeks
12713.8928 -2,840.062 (12*2π)/31426 weeks
132,890.669 401.7698 (13*2π)/31424 weeks
14-79.78025 2,910.569 (14*2π)/31422 weeks
15-2,889.314 244.5896 (15*2π)/31421 weeks
16-557.8911 -2,830.574 (16*2π)/31420 weeks
172,744.326 -859.324 (17*2π)/31418 weeks
181,153.828 2,629.092 (18*2π)/31417 weeks
19-2,478.558 1,434.789 (19*2π)/31417 weeks
20-1,690.729 -2,299.162 (20*2π)/31416 weeks
212,103.534 -1,924.14 (21*2π)/31415 weeks
222,145.865 1,889.648 (22*2π)/31414 weeks
23-1,644.276 2,351.986 (23*2π)/31414 weeks
24-2,523.722 -1,367.88 (24*2π)/31413 weeks
251,079.418 -2,652.869 (25*2π)/31413 weeks
262,751.748 792.2114 (26*2π)/31412 weeks
27-499.3832 2,832.403 (27*2π)/31412 weeks
28-2,888.911 -189.6836 (28*2π)/31411 weeks
29-133.854 -2,907.354 (29*2π)/31411 weeks
302,883.006 -458.1886 (30*2π)/31410 weeks
31773.7681 2,820.463 (31*2π)/31410 weeks
32-2,725.246 1,076.844 (32*2π)/31410 weeks
33-1,366.386 -2,601.903 (33*2π)/31410 weeks
342,452.704 -1,644.925 (34*2π)/3149 weeks
351,914.526 2,272.422 (35*2π)/3149 weeks
36-2,052.983 2,166.342 (36*2π)/3149 weeks
37-2,383.659 -1,799.167 (37*2π)/3148 weeks
381,529.174 -2,562.003 (38*2π)/3148 weeks
392,714.705 1,251.579 (39*2π)/3148 weeks
40-954.0914 2,848.527 (40*2π)/3148 weeks
41-2,946.497 -627.8232 (41*2π)/3148 weeks
42290.4864 -2,990.691 (42*2π)/3147 weeks
432,991.365 -33.39207 (43*2π)/3147 weeks
44347.0032 2,971.762 (44*2π)/3147 weeks
45-2,929.159 672.1252 (45*2π)/3147 weeks
46-1,007.082 -2,836.667 (46*2π)/3147 weeks
472,686.593 -1,320.153 (47*2π)/3147 weeks
481,591.917 2,506.002 (48*2π)/3147 weeks
49-2,318.089 1,839.411 (49*2π)/3146 weeks
50-2,083.64 -2,110.934 (50*2π)/3146 weeks
511,862.269 -2,313.607 (51*2π)/3146 weeks
522,502.786 1,577.527 (52*2π)/3146 weeks
53-1,281.188 2,646.688 (53*2π)/3146 weeks
54-2,760.607 -981.8408 (54*2π)/3146 weeks
55670.1597 -2,848.52 (55*2π)/3146 weeks
562,899.054 346.2035 (56*2π)/3146 weeks
57-23.7616 2,910.052 (57*2π)/3146 weeks
58-2,892.523 293.0144 (58*2π)/3145 weeks
59-613.3926 -2,846.978 (59*2π)/3145 weeks
602,758.888 -935.0123 (60*2π)/3145 weeks
611,237.206 2,625.514 (61*2π)/3145 weeks
62-2,466.166 1,509.139 (62*2π)/3145 weeks
63-1,764.682 -2,293.919 (63*2π)/3145 weeks
642,095.838 -2,015.436 (64*2π)/3145 weeks
652,246.359 1,857.254 (65*2π)/3145 weeks
66-1,590.064 2,436.263 (66*2π)/3145 weeks
67-2,589.111 -1,316.811 (67*2π)/3145 weeks
681,037.382 -2,723.15 (68*2π)/3145 weeks
692,836.553 734.6254 (69*2π)/3145 weeks
70-408.8992 2,907.625 (70*2π)/3144 weeks
71-2,928.581 -83.47382 (71*2π)/3144 weeks
72-227.1815 -2,916.586 (72*2π)/3144 weeks
732,885.628 -533.6494 (73*2π)/3144 weeks
74848.4628 2,826.127 (74*2π)/3144 weeks
75-2,721.896 1,163.22 (75*2π)/3144 weeks
76-1,458.844 -2,573.39 (76*2π)/3144 weeks
772,393.822 -1,726.755 (77*2π)/3144 weeks
781,969.898 2,192.367 (78*2π)/3144 weeks
79-1,970.691 2,191.791 (79*2π)/3144 weeks
80-2,393.484 -1,727.852 (80*2π)/3144 weeks
811,460.263 -2,573.457 (81*2π)/3144 weeks
822,722.529 1,164.823 (82*2π)/3144 weeks
83-850.0406 2,827.366 (83*2π)/3144 weeks
84-2,887.42 -535.0244 (84*2π)/3144 weeks
85228.2091 -2,918.834 (85*2π)/3144 weeks
862,931.117 -82.89713 (86*2π)/3144 weeks
87408.7539 2,910.239 (87*2π)/3144 weeks
88-2,839.119 734.7482 (88*2π)/3144 weeks
89-1,037.607 -2,725.734 (89*2π)/3144 weeks
902,591.869 -1,317.135 (90*2π)/3143 weeks
911,590.63 2,439.251 (91*2π)/3143 weeks
92-2,249.473 1,858.179 (92*2π)/3143 weeks
93-2,097.098 -2,018.519 (93*2π)/3143 weeks
941,767.665 -2,295.382 (94*2π)/3143 weeks
952,467.698 1,512.071 (95*2π)/3143 weeks
96-1,240.215 2,627.043 (96*2π)/3143 weeks
97-2,760.438 -938.2671 (97*2π)/3143 weeks
98617.0419 -2,848.693 (98*2π)/3143 weeks
992,894.648 297.091 (99*2π)/3143 weeks
10019.4041 2,912.812 (100*2π)/3143 weeks
101-2,902.51 341.8148 (101*2π)/3143 weeks
102-665.9107 -2,852.56 (102*2π)/3143 weeks
1032,765.107 -977.7247 (103*2π)/3143 weeks
1041,277.121 2,651.666 (104*2π)/3143 weeks
105-2,508.384 1,573.522 (105*2π)/3143 weeks
106-1,858.48 -2,319.938 (106*2π)/3143 weeks
1072,090.715 -2,107.567 (107*2π)/3143 weeks
1082,315.338 1,847.158 (108*2π)/3143 weeks
109-1,600.192 2,504.049 (109*2π)/3143 weeks
110-2,685.546 -1,328.704 (110*2π)/3143 weeks
1111,015.63 -2,836.457 (111*2π)/3143 weeks
1122,929.567 680.5396 (112*2π)/3143 weeks
113-355.3675 2,972.619 (113*2π)/3143 weeks
114-2,992.702 -41.83695 (114*2π)/3143 weeks
115-281.9735 -2,992.647 (115*2π)/3143 weeks
1162,949.139 -619.3869 (116*2π)/3143 weeks
117945.874 2,851.804 (117*2π)/3143 weeks
118-2,718.515 1,243.662 (118*2π)/3143 weeks
119-1,521.589 -2,566.219 (119*2π)/3143 weeks
1202,388.134 -1,791.852 (120*2π)/3143 weeks
1212,045.746 2,171.016 (121*2π)/3143 weeks
122-1,919.547 2,265.063 (122*2π)/3143 weeks
123-2,445.219 -1,650.585 (123*2π)/3143 weeks
1241,372.891 -2,594.521 (124*2π)/3143 weeks
1252,718.244 1,084.172 (125*2π)/3143 weeks
126-781.764 2,813.984 (126*2π)/3142 weeks
127-2,877.046 -466.7304 (127*2π)/3142 weeks
128142.9247 -2,901.874 (128*2π)/3142 weeks
1292,883.921 -180.0273 (129*2π)/3142 weeks
130489.0645 2,827.994 (130*2π)/3142 weeks
131-2,748.102 781.1924 (131*2π)/3142 weeks
132-1,067.773 -2,650.225 (132*2π)/3142 weeks
1332,522.281 -1,355.834 (133*2π)/3142 weeks
1341,632.149 2,351.795 (134*2π)/3142 weeks
135-2,146.781 1,877.708 (135*2π)/3142 weeks
136-2,091.87 -1,925.94 (136*2π)/3142 weeks
1371,693.279 -2,287.708 (137*2π)/3142 weeks
1382,467.247 1,438.115 (138*2π)/3142 weeks
139-1,158.01 2,617.98 (139*2π)/3142 weeks
140-2,733.555 -864.3641 (140*2π)/3142 weeks
141563.7021 -2,820.252 (141*2π)/3142 weeks
1422,879.498 251.0724 (142*2π)/3142 weeks
14372.73656 2,901.298 (143*2π)/3142 weeks
144-2,881.917 394.3209 (144*2π)/3142 weeks
145-706.1384 -2,831.661 (145*2π)/3142 weeks
1462,755.55 -1,015.732 (146*2π)/3142 weeks
1471,325.591 2,642.185 (147*2π)/3142 weeks
148-2,484.6 1,619.614 (148*2π)/3142 weeks
149-1,884.437 -2,296.768 (149*2π)/3142 weeks
1502,092.127 -2,129.446 (150*2π)/3142 weeks
1512,365.609 1,859.429 (151*2π)/3142 weeks
152-1,582.87 2,576.321 (152*2π)/3142 weeks
153-2,735.097 -1,277.071 (153*2π)/3142 weeks
154973.9531 -2,846.644 (154*2π)/3142 weeks
1552,940.677 676.3185 (155*2π)/3142 weeks
156-355.0007 3,021.893 (156*2π)/3142 weeks
157-3,056.608   (157*2π)/3142 weeks
158-355.0007 -3,021.893 (158*2π)/3142 weeks
1592,940.677 -676.3185 (159*2π)/3142 weeks
160973.9531 2,846.644 (160*2π)/3142 weeks
161-2,735.097 1,277.071 (161*2π)/3142 weeks
162-1,582.87 -2,576.321 (162*2π)/3142 weeks
1632,365.609 -1,859.429 (163*2π)/3142 weeks
1642,092.127 2,129.446 (164*2π)/3142 weeks
165-1,884.437 2,296.768 (165*2π)/3142 weeks
166-2,484.6 -1,619.614 (166*2π)/3142 weeks
1671,325.591 -2,642.185 (167*2π)/3142 weeks
1682,755.55 1,015.732 (168*2π)/3142 weeks
169-706.1384 2,831.661 (169*2π)/3142 weeks
170-2,881.917 -394.3209 (170*2π)/3142 weeks
17172.73656 -2,901.298 (171*2π)/3142 weeks
1722,879.498 -251.0724 (172*2π)/3142 weeks
173563.7021 2,820.252 (173*2π)/3142 weeks
174-2,733.555 864.3641 (174*2π)/3142 weeks
175-1,158.01 -2,617.98 (175*2π)/3142 weeks
1762,467.247 -1,438.115 (176*2π)/3142 weeks
1771,693.279 2,287.708 (177*2π)/3142 weeks
178-2,091.87 1,925.94 (178*2π)/3142 weeks
179-2,146.781 -1,877.708 (179*2π)/3142 weeks
1801,632.149 -2,351.795 (180*2π)/3142 weeks
1812,522.281 1,355.834 (181*2π)/3142 weeks
182-1,067.773 2,650.225 (182*2π)/3142 weeks
183-2,748.102 -781.1924 (183*2π)/3142 weeks
184489.0645 -2,827.994 (184*2π)/3142 weeks
1852,883.921 180.0273 (185*2π)/3142 weeks
186142.9247 2,901.874 (186*2π)/3142 weeks
187-2,877.046 466.7304 (187*2π)/3142 weeks
188-781.764 -2,813.984 (188*2π)/3142 weeks
1892,718.244 -1,084.172 (189*2π)/3142 weeks
1901,372.891 2,594.521 (190*2π)/3142 weeks
191-2,445.219 1,650.585 (191*2π)/3142 weeks
192-1,919.547 -2,265.063 (192*2π)/3142 weeks
1932,045.746 -2,171.016 (193*2π)/3142 weeks
1942,388.134 1,791.852 (194*2π)/3142 weeks
195-1,521.589 2,566.219 (195*2π)/3142 weeks
196-2,718.515 -1,243.662 (196*2π)/3142 weeks
197945.874 -2,851.804 (197*2π)/3142 weeks
1982,949.139 619.3869 (198*2π)/3142 weeks
199-281.9735 2,992.647 (199*2π)/3142 weeks
200-2,992.702 41.83695 (200*2π)/3142 weeks
201-355.3675 -2,972.619 (201*2π)/3142 weeks
2022,929.567 -680.5396 (202*2π)/3142 weeks
2031,015.63 2,836.457 (203*2π)/3142 weeks
204-2,685.546 1,328.704 (204*2π)/3142 weeks
205-1,600.192 -2,504.049 (205*2π)/3142 weeks
2062,315.338 -1,847.158 (206*2π)/3142 weeks
2072,090.715 2,107.567 (207*2π)/3142 weeks
208-1,858.48 2,319.938 (208*2π)/3142 weeks
209-2,508.384 -1,573.522 (209*2π)/3142 weeks
2101,277.121 -2,651.666 (210*2π)/3141 weeks
2112,765.107 977.7247 (211*2π)/3141 weeks
212-665.9107 2,852.56 (212*2π)/3141 weeks
213-2,902.51 -341.8148 (213*2π)/3141 weeks
21419.4041 -2,912.812 (214*2π)/3141 weeks
2152,894.648 -297.091 (215*2π)/3141 weeks
216617.0419 2,848.693 (216*2π)/3141 weeks
217-2,760.438 938.2671 (217*2π)/3141 weeks
218-1,240.215 -2,627.043 (218*2π)/3141 weeks
2192,467.698 -1,512.071 (219*2π)/3141 weeks
2201,767.665 2,295.382 (220*2π)/3141 weeks
221-2,097.098 2,018.519 (221*2π)/3141 weeks
222-2,249.473 -1,858.179 (222*2π)/3141 weeks
2231,590.63 -2,439.251 (223*2π)/3141 weeks
2242,591.869 1,317.135 (224*2π)/3141 weeks
225-1,037.607 2,725.734 (225*2π)/3141 weeks
226-2,839.119 -734.7482 (226*2π)/3141 weeks
227408.7539 -2,910.239 (227*2π)/3141 weeks
2282,931.117 82.89713 (228*2π)/3141 weeks
229228.2091 2,918.834 (229*2π)/3141 weeks
230-2,887.42 535.0244 (230*2π)/3141 weeks
231-850.0406 -2,827.366 (231*2π)/3141 weeks
2322,722.529 -1,164.823 (232*2π)/3141 weeks
2331,460.263 2,573.457 (233*2π)/3141 weeks
234-2,393.484 1,727.852 (234*2π)/3141 weeks
235-1,970.691 -2,191.791 (235*2π)/3141 weeks
2361,969.898 -2,192.367 (236*2π)/3141 weeks
2372,393.822 1,726.755 (237*2π)/3141 weeks
238-1,458.844 2,573.39 (238*2π)/3141 weeks
239-2,721.896 -1,163.22 (239*2π)/3141 weeks
240848.4628 -2,826.127 (240*2π)/3141 weeks
2412,885.628 533.6494 (241*2π)/3141 weeks
242-227.1815 2,916.586 (242*2π)/3141 weeks
243-2,928.581 83.47382 (243*2π)/3141 weeks
244-408.8992 -2,907.625 (244*2π)/3141 weeks
2452,836.553 -734.6254 (245*2π)/3141 weeks
2461,037.382 2,723.15 (246*2π)/3141 weeks
247-2,589.111 1,316.811 (247*2π)/3141 weeks
248-1,590.064 -2,436.263 (248*2π)/3141 weeks
2492,246.359 -1,857.254 (249*2π)/3141 weeks
2502,095.838 2,015.436 (250*2π)/3141 weeks
251-1,764.682 2,293.919 (251*2π)/3141 weeks
252-2,466.166 -1,509.139 (252*2π)/3141 weeks
2531,237.206 -2,625.514 (253*2π)/3141 weeks
2542,758.888 935.0123 (254*2π)/3141 weeks
255-613.3926 2,846.978 (255*2π)/3141 weeks
256-2,892.523 -293.0144 (256*2π)/3141 weeks
257-23.7616 -2,910.052 (257*2π)/3141 weeks
2582,899.054 -346.2035 (258*2π)/3141 weeks
259670.1597 2,848.52 (259*2π)/3141 weeks
260-2,760.607 981.8408 (260*2π)/3141 weeks
261-1,281.188 -2,646.688 (261*2π)/3141 weeks
2622,502.786 -1,577.527 (262*2π)/3141 weeks
2631,862.269 2,313.607 (263*2π)/3141 weeks
264-2,083.64 2,110.934 (264*2π)/3141 weeks
265-2,318.089 -1,839.411 (265*2π)/3141 weeks
2661,591.917 -2,506.002 (266*2π)/3141 weeks
2672,686.593 1,320.153 (267*2π)/3141 weeks
268-1,007.082 2,836.667 (268*2π)/3141 weeks
269-2,929.159 -672.1252 (269*2π)/3141 weeks
270347.0032 -2,971.762 (270*2π)/3141 weeks
2712,991.365 33.39207 (271*2π)/3141 weeks
272290.4864 2,990.691 (272*2π)/3141 weeks
273-2,946.497 627.8232 (273*2π)/3141 weeks
274-954.0914 -2,848.527 (274*2π)/3141 weeks
2752,714.705 -1,251.579 (275*2π)/3141 weeks
2761,529.174 2,562.003 (276*2π)/3141 weeks
277-2,383.659 1,799.167 (277*2π)/3141 weeks
278-2,052.983 -2,166.342 (278*2π)/3141 weeks
2791,914.526 -2,272.422 (279*2π)/3141 weeks
2802,452.704 1,644.925 (280*2π)/3141 weeks
281-1,366.386 2,601.903 (281*2π)/3141 weeks
282-2,725.246 -1,076.844 (282*2π)/3141 weeks
283773.7681 -2,820.463 (283*2π)/3141 weeks
2842,883.006 458.1886 (284*2π)/3141 weeks
285-133.854 2,907.354 (285*2π)/3141 weeks
286-2,888.911 189.6836 (286*2π)/3141 weeks
287-499.3832 -2,832.403 (287*2π)/3141 weeks
2882,751.748 -792.2114 (288*2π)/3141 weeks
2891,079.418 2,652.869 (289*2π)/3141 weeks
290-2,523.722 1,367.88 (290*2π)/3141 weeks
291-1,644.276 -2,351.986 (291*2π)/3141 weeks
2922,145.865 -1,889.648 (292*2π)/3141 weeks
2932,103.534 1,924.14 (293*2π)/3141 weeks
294-1,690.729 2,299.162 (294*2π)/3141 weeks
295-2,478.558 -1,434.789 (295*2π)/3141 weeks
2961,153.828 -2,629.092 (296*2π)/3141 weeks
2972,744.326 859.324 (297*2π)/3141 weeks
298-557.8911 2,830.574 (298*2π)/3141 weeks
299-2,889.314 -244.5896 (299*2π)/3141 weeks
300-79.78025 -2,910.569 (300*2π)/3141 weeks
3012,890.669 -401.7698 (301*2π)/3141 weeks
302713.8928 2,840.062 (302*2π)/3141 weeks
303-2,763.796 1,023.905 (303*2π)/3141 weeks
304-1,334.444 -2,650.267 (304*2π)/3141 weeks
3052,492.279 -1,629.286 (305*2π)/3141 weeks
3061,894.834 2,303.823 (306*2π)/3141 weeks
307-2,098.506 2,140.432 (307*2π)/3141 weeks
308-2,377.148 -1,865.119 (308*2π)/3141 weeks
3091,587.783 -2,588.37 (309*2π)/3141 weeks
3102,747.528 1,281.182 (310*2π)/3141 weeks
311-977.3701 2,859.438 (311*2π)/3141 weeks
312-2,954.042 -679.0085 (312*2π)/3141 weeks

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