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# Fourier Analysis of ABBV (AbbVie Inc)

ABBV (AbbVie Inc) appears to have interesting cyclic behaviour every 28 weeks (2.8032*sine), 26 weeks (1.9558*sine), and 28 weeks (1.8144*cosine).

ABBV (AbbVie Inc) has an average price of 58.02 (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 1/2/2013 to 5/21/2018 for ABBV (AbbVie Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
058.01607   0
15.31367 -12.57057 (1*2π)/282282 weeks
24.81879 -13.93223 (2*2π)/282141 weeks
31.86904 -9.03039 (3*2π)/28294 weeks
4-1.31877 -9.11946 (4*2π)/28271 weeks
5-1.74754 -4.93783 (5*2π)/28256 weeks
6-.53516 -4.78893 (6*2π)/28247 weeks
7-2.26126 -2.49192 (7*2π)/28240 weeks
8-1.23472 -3.01071 (8*2π)/28235 weeks
9-.41424 -1.62809 (9*2π)/28231 weeks
10-1.81445 -2.80323 (10*2π)/28228 weeks
11.207 -1.95577 (11*2π)/28226 weeks
12-1.02763 -1.03386 (12*2π)/28224 weeks
13-.45664 -1.39386 (13*2π)/28222 weeks
14-.41595 -.72722 (14*2π)/28220 weeks
15.48957 -.08254 (15*2π)/28219 weeks
16.46208 -1.1587 (16*2π)/28218 weeks
17.96432 -.56219 (17*2π)/28217 weeks
18.89033 -1.40709 (18*2π)/28216 weeks
19.98608 -1.63285 (19*2π)/28215 weeks
20-.15022 -1.34572 (20*2π)/28214 weeks
21.04357 -1.22596 (21*2π)/28213 weeks
22.05329 -1.39046 (22*2π)/28213 weeks
23.54931 -.96594 (23*2π)/28212 weeks
24-.34026 -1.4868 (24*2π)/28212 weeks
25-.35888 -1.61332 (25*2π)/28211 weeks
26-.40993 -1.51006 (26*2π)/28211 weeks
27-.46362 -1.38449 (27*2π)/28210 weeks
28-.47763 -1.30057 (28*2π)/28210 weeks
29-.26559 -.47605 (29*2π)/28210 weeks
30-.34089 -.98504 (30*2π)/2829 weeks
31-.39654 -.90655 (31*2π)/2829 weeks
32-.0406 -1.15892 (32*2π)/2829 weeks
33-.64002 -.71731 (33*2π)/2829 weeks
34-.61498 -.85963 (34*2π)/2828 weeks
35-.48787 -.7266 (35*2π)/2828 weeks
36-.3661 -.57296 (36*2π)/2828 weeks
37-.77079 -.9532 (37*2π)/2828 weeks
38-.33391 -.35483 (38*2π)/2827 weeks
39-.4542 -.85322 (39*2π)/2827 weeks
40-.32358 -.38335 (40*2π)/2827 weeks
41-.60749 -.30318 (41*2π)/2827 weeks
42-.54813 -.18787 (42*2π)/2827 weeks
43-.3303 -.29586 (43*2π)/2827 weeks
44-.15188 -.1711 (44*2π)/2826 weeks
45-.00585 -.2602 (45*2π)/2826 weeks
46.0903 -.47707 (46*2π)/2826 weeks
47-.18336 -.73988 (47*2π)/2826 weeks
48-.11004 -.25401 (48*2π)/2826 weeks
49-.19009 -.55002 (49*2π)/2826 weeks
50-.24377 -.4963 (50*2π)/2826 weeks
51-.1061 -.48776 (51*2π)/2826 weeks
52-.39353 -.6428 (52*2π)/2825 weeks
53-.21302 -.73258 (53*2π)/2825 weeks
54-.26033 -.43332 (54*2π)/2825 weeks
55-.5962 -.44998 (55*2π)/2825 weeks
56-.5159 -.53674 (56*2π)/2825 weeks
57-.36923 -.31851 (57*2π)/2825 weeks
58-.56997 -.37536 (58*2π)/2825 weeks
59-.35977 -.12995 (59*2π)/2825 weeks
60-.17435 -.32428 (60*2π)/2825 weeks
61-.28749 -.38401 (61*2π)/2825 weeks
62-.12896 -.26396 (62*2π)/2825 weeks
63-.18612 -.44191 (63*2π)/2824 weeks
64-.4658 -.26734 (64*2π)/2824 weeks
65-.41536 -.42886 (65*2π)/2824 weeks
66-.19755 -.22286 (66*2π)/2824 weeks
67-.44273 -.25117 (67*2π)/2824 weeks
68-.31099 -.64165 (68*2π)/2824 weeks
69-.24927 -.1517 (69*2π)/2824 weeks
70-.45204 -.37477 (70*2π)/2824 weeks
71-.20585 -.37829 (71*2π)/2824 weeks
72-.56151 -.25886 (72*2π)/2824 weeks
73-.30255 .00499 (73*2π)/2824 weeks
74-.03225 -.30424 (74*2π)/2824 weeks
75-.32162 .03048 (75*2π)/2824 weeks
76.0189 -.29849 (76*2π)/2824 weeks
77-.25413 -.08395 (77*2π)/2824 weeks
78-.10227 -.31984 (78*2π)/2824 weeks
79-.33806 -.21239 (79*2π)/2824 weeks
80-.00584 -.39537 (80*2π)/2824 weeks
81-.19537 -.42183 (81*2π)/2823 weeks
82-.31184 -.52842 (82*2π)/2823 weeks
83-.43878 -.56007 (83*2π)/2823 weeks
84-.2242 -.23342 (84*2π)/2823 weeks
85-.64148 -.44879 (85*2π)/2823 weeks
86-.34138 -.15941 (86*2π)/2823 weeks
87-.45041 -.10407 (87*2π)/2823 weeks
88-.327 -.04663 (88*2π)/2823 weeks
89-.51061 -.04488 (89*2π)/2823 weeks
90-.30468 -.02934 (90*2π)/2823 weeks
91-.36934 -.03977 (91*2π)/2823 weeks
92-.2127 .05759 (92*2π)/2823 weeks
93-.29753 .01208 (93*2π)/2823 weeks
94-.01482 .11719 (94*2π)/2823 weeks
95-.19484 -.16288 (95*2π)/2823 weeks
96-.0557 -.02016 (96*2π)/2823 weeks
97-.16963 -.16012 (97*2π)/2823 weeks
98-.10302 -.47468 (98*2π)/2823 weeks
99-.15405 -.33881 (99*2π)/2823 weeks
100-.32102 -.33154 (100*2π)/2823 weeks
101-.31683 -.44212 (101*2π)/2823 weeks
102-.48333 -.10399 (102*2π)/2823 weeks
103-.40495 -.15592 (103*2π)/2823 weeks
104-.45578 .02697 (104*2π)/2823 weeks
105-.06822 -.03298 (105*2π)/2823 weeks
106-.34242 -.04077 (106*2π)/2823 weeks
107-.24052 -.06521 (107*2π)/2823 weeks
108-.23263 -.08545 (108*2π)/2823 weeks
109-.33781 -.09322 (109*2π)/2823 weeks
110-.29275 -.06327 (110*2π)/2823 weeks
111-.27422 .01844 (111*2π)/2823 weeks
112-.26678 -.24531 (112*2π)/2823 weeks
113-.24692 -.10631 (113*2π)/2822 weeks
114-.28837 -.08893 (114*2π)/2822 weeks
115-.25115 -.19079 (115*2π)/2822 weeks
116-.28714 -.18825 (116*2π)/2822 weeks
117-.3147 .06234 (117*2π)/2822 weeks
118-.24091 .0176 (118*2π)/2822 weeks
119-.29224 -.05898 (119*2π)/2822 weeks
120-.3047 -.12232 (120*2π)/2822 weeks
121-.20624 .06852 (121*2π)/2822 weeks
122-.08316 -.07571 (122*2π)/2822 weeks
123-.29749 .11086 (123*2π)/2822 weeks
124-.10762 -.08073 (124*2π)/2822 weeks
125-.15063 .0046 (125*2π)/2822 weeks
126-.11059 -.21809 (126*2π)/2822 weeks
127-.25483 -.02828 (127*2π)/2822 weeks
128-.24239 -.23993 (128*2π)/2822 weeks
129-.32271 -.21005 (129*2π)/2822 weeks
130-.21665 -.12189 (130*2π)/2822 weeks
131-.31949 .08177 (131*2π)/2822 weeks
132-.28588 -.04338 (132*2π)/2822 weeks
133-.43079 -.15955 (133*2π)/2822 weeks
134-.32882 -.16943 (134*2π)/2822 weeks
135-.32902 -.09365 (135*2π)/2822 weeks
136-.25691 -.11619 (136*2π)/2822 weeks
137-.4324 -.02843 (137*2π)/2822 weeks
138-.23283 -.01127 (138*2π)/2822 weeks
139-.21944 .08799 (139*2π)/2822 weeks
140-.32387 .00138 (140*2π)/2822 weeks
141-.24346   (141*2π)/2822 weeks
142-.32387 -.00138 (142*2π)/2822 weeks
143-.21944 -.08799 (143*2π)/2822 weeks
144-.23283 .01127 (144*2π)/2822 weeks
145-.4324 .02843 (145*2π)/2822 weeks
146-.25691 .11619 (146*2π)/2822 weeks
147-.32902 .09365 (147*2π)/2822 weeks
148-.32882 .16943 (148*2π)/2822 weeks
149-.43079 .15955 (149*2π)/2822 weeks
150-.28588 .04338 (150*2π)/2822 weeks
151-.31949 -.08177 (151*2π)/2822 weeks
152-.21665 .12189 (152*2π)/2822 weeks
153-.32271 .21005 (153*2π)/2822 weeks
154-.24239 .23993 (154*2π)/2822 weeks
155-.25483 .02828 (155*2π)/2822 weeks
156-.11059 .21809 (156*2π)/2822 weeks
157-.15063 -.0046 (157*2π)/2822 weeks
158-.10762 .08073 (158*2π)/2822 weeks
159-.29749 -.11086 (159*2π)/2822 weeks
160-.08316 .07571 (160*2π)/2822 weeks
161-.20624 -.06852 (161*2π)/2822 weeks
162-.3047 .12232 (162*2π)/2822 weeks
163-.29224 .05898 (163*2π)/2822 weeks
164-.24091 -.0176 (164*2π)/2822 weeks
165-.3147 -.06234 (165*2π)/2822 weeks
166-.28714 .18825 (166*2π)/2822 weeks
167-.25115 .19079 (167*2π)/2822 weeks
168-.28837 .08893 (168*2π)/2822 weeks
169-.24692 .10631 (169*2π)/2822 weeks
170-.26678 .24531 (170*2π)/2822 weeks
171-.27422 -.01844 (171*2π)/2822 weeks
172-.29275 .06327 (172*2π)/2822 weeks
173-.33781 .09322 (173*2π)/2822 weeks
174-.23263 .08545 (174*2π)/2822 weeks
175-.24052 .06521 (175*2π)/2822 weeks
176-.34242 .04077 (176*2π)/2822 weeks
177-.06822 .03298 (177*2π)/2822 weeks
178-.45578 -.02697 (178*2π)/2822 weeks
179-.40495 .15592 (179*2π)/2822 weeks
180-.48333 .10399 (180*2π)/2822 weeks
181-.31683 .44212 (181*2π)/2822 weeks
182-.32102 .33154 (182*2π)/2822 weeks
183-.15405 .33881 (183*2π)/2822 weeks
184-.10302 .47468 (184*2π)/2822 weeks
185-.16963 .16012 (185*2π)/2822 weeks
186-.0557 .02016 (186*2π)/2822 weeks
187-.19484 .16288 (187*2π)/2822 weeks
188-.01482 -.11719 (188*2π)/2822 weeks
189-.29753 -.01208 (189*2π)/2821 weeks
190-.2127 -.05759 (190*2π)/2821 weeks
191-.36934 .03977 (191*2π)/2821 weeks
192-.30468 .02934 (192*2π)/2821 weeks
193-.51061 .04488 (193*2π)/2821 weeks
194-.327 .04663 (194*2π)/2821 weeks
195-.45041 .10407 (195*2π)/2821 weeks
196-.34138 .15941 (196*2π)/2821 weeks
197-.64148 .44879 (197*2π)/2821 weeks
198-.2242 .23342 (198*2π)/2821 weeks
199-.43878 .56007 (199*2π)/2821 weeks
200-.31184 .52842 (200*2π)/2821 weeks
201-.19537 .42183 (201*2π)/2821 weeks
202-.00584 .39537 (202*2π)/2821 weeks
203-.33806 .21239 (203*2π)/2821 weeks
204-.10227 .31984 (204*2π)/2821 weeks
205-.25413 .08395 (205*2π)/2821 weeks
206.0189 .29849 (206*2π)/2821 weeks
207-.32162 -.03048 (207*2π)/2821 weeks
208-.03225 .30424 (208*2π)/2821 weeks
209-.30255 -.00499 (209*2π)/2821 weeks
210-.56151 .25886 (210*2π)/2821 weeks
211-.20585 .37829 (211*2π)/2821 weeks
212-.45204 .37477 (212*2π)/2821 weeks
213-.24927 .1517 (213*2π)/2821 weeks
214-.31099 .64165 (214*2π)/2821 weeks
215-.44273 .25117 (215*2π)/2821 weeks
216-.19755 .22286 (216*2π)/2821 weeks
217-.41536 .42886 (217*2π)/2821 weeks
218-.4658 .26734 (218*2π)/2821 weeks
219-.18612 .44191 (219*2π)/2821 weeks
220-.12896 .26396 (220*2π)/2821 weeks
221-.28749 .38401 (221*2π)/2821 weeks
222-.17435 .32428 (222*2π)/2821 weeks
223-.35977 .12995 (223*2π)/2821 weeks
224-.56997 .37536 (224*2π)/2821 weeks
225-.36923 .31851 (225*2π)/2821 weeks
226-.5159 .53674 (226*2π)/2821 weeks
227-.5962 .44998 (227*2π)/2821 weeks
228-.26033 .43332 (228*2π)/2821 weeks
229-.21302 .73258 (229*2π)/2821 weeks
230-.39353 .6428 (230*2π)/2821 weeks
231-.1061 .48776 (231*2π)/2821 weeks
232-.24377 .4963 (232*2π)/2821 weeks
233-.19009 .55002 (233*2π)/2821 weeks
234-.11004 .25401 (234*2π)/2821 weeks
235-.18336 .73988 (235*2π)/2821 weeks
236.0903 .47707 (236*2π)/2821 weeks
237-.00585 .2602 (237*2π)/2821 weeks
238-.15188 .1711 (238*2π)/2821 weeks
239-.3303 .29586 (239*2π)/2821 weeks
240-.54813 .18787 (240*2π)/2821 weeks
241-.60749 .30318 (241*2π)/2821 weeks
242-.32358 .38335 (242*2π)/2821 weeks
243-.4542 .85322 (243*2π)/2821 weeks
244-.33391 .35483 (244*2π)/2821 weeks
245-.77079 .9532 (245*2π)/2821 weeks
246-.3661 .57296 (246*2π)/2821 weeks
247-.48787 .7266 (247*2π)/2821 weeks
248-.61498 .85963 (248*2π)/2821 weeks
249-.64002 .71731 (249*2π)/2821 weeks
250-.0406 1.15892 (250*2π)/2821 weeks
251-.39654 .90655 (251*2π)/2821 weeks
252-.34089 .98504 (252*2π)/2821 weeks
253-.26559 .47605 (253*2π)/2821 weeks
254-.47763 1.30057 (254*2π)/2821 weeks
255-.46362 1.38449 (255*2π)/2821 weeks
256-.40993 1.51006 (256*2π)/2821 weeks
257-.35888 1.61332 (257*2π)/2821 weeks
258-.34026 1.4868 (258*2π)/2821 weeks
259.54931 .96594 (259*2π)/2821 weeks
260.05329 1.39046 (260*2π)/2821 weeks
261.04357 1.22596 (261*2π)/2821 weeks
262-.15022 1.34572 (262*2π)/2821 weeks
263.98608 1.63285 (263*2π)/2821 weeks
264.89033 1.40709 (264*2π)/2821 weeks
265.96432 .56219 (265*2π)/2821 weeks
266.46208 1.1587 (266*2π)/2821 weeks
267.48957 .08254 (267*2π)/2821 weeks
268-.41595 .72722 (268*2π)/2821 weeks
269-.45664 1.39386 (269*2π)/2821 weeks
270-1.02763 1.03386 (270*2π)/2821 weeks
271.207 1.95577 (271*2π)/2821 weeks
272-1.81445 2.80323 (272*2π)/2821 weeks
273-.41424 1.62809 (273*2π)/2821 weeks
274-1.23472 3.01071 (274*2π)/2821 weeks
275-2.26126 2.49192 (275*2π)/2821 weeks
276-.53516 4.78893 (276*2π)/2821 weeks
277-1.74754 4.93783 (277*2π)/2821 weeks
278-1.31877 9.11946 (278*2π)/2821 weeks
2791.86904 9.03039 (279*2π)/2821 weeks
2804.81879 13.93223 (280*2π)/2821 weeks