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# Fourier Analysis of ATEN (A10 Networks)

ATEN (A10 Networks) appears to have interesting cyclic behaviour every 22 weeks (.6433*cosine), 18 weeks (.4123*sine), and 20 weeks (.3847*sine).

ATEN (A10 Networks) has an average price of 7.51 (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 3/21/2014 to 5/21/2018 for ATEN (A10 Networks), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
07.50598   0
1.80323 -1.00769 (1*2π)/219219 weeks
2.99728 1.00564 (2*2π)/219110 weeks
31.24288 1.11532 (3*2π)/21973 weeks
4-.21281 1.19331 (4*2π)/21955 weeks
5-.13322 .60092 (5*2π)/21944 weeks
6-.52331 .54169 (6*2π)/21937 weeks
7.15208 .40809 (7*2π)/21931 weeks
8.14354 -.09984 (8*2π)/21927 weeks
9.19925 .0511 (9*2π)/21924 weeks
10.64326 .03699 (10*2π)/21922 weeks
11.02722 .3847 (11*2π)/21920 weeks
12.12861 .41232 (12*2π)/21918 weeks
13.02523 .21891 (13*2π)/21917 weeks
14.0584 .13331 (14*2π)/21916 weeks
15.15902 .04721 (15*2π)/21915 weeks
16-.08587 .22305 (16*2π)/21914 weeks
17.34089 .21412 (17*2π)/21913 weeks
18.20635 .27213 (18*2π)/21912 weeks
19.02527 .29827 (19*2π)/21912 weeks
20.11364 .19291 (20*2π)/21911 weeks
21-.02612 .2099 (21*2π)/21910 weeks
22-.16838 .15427 (22*2π)/21910 weeks
23-.02724 -.03628 (23*2π)/21910 weeks
24-.00582 -.02368 (24*2π)/2199 weeks
25.07425 .07268 (25*2π)/2199 weeks
26.14275 .09932 (26*2π)/2198 weeks
27.06166 .12088 (27*2π)/2198 weeks
28.02367 .16469 (28*2π)/2198 weeks
29-.0743 .11786 (29*2π)/2198 weeks
30.07277 .09085 (30*2π)/2197 weeks
31.02344 .10179 (31*2π)/2197 weeks
32.04344 .06388 (32*2π)/2197 weeks
33.16933 .04782 (33*2π)/2197 weeks
34.07946 .02697 (34*2π)/2196 weeks
35.03301 .12056 (35*2π)/2196 weeks
36.14093 .02463 (36*2π)/2196 weeks
37.00653 .07591 (37*2π)/2196 weeks
38.03966 .05944 (38*2π)/2196 weeks
39.07954 .04219 (39*2π)/2196 weeks
40.10581 .08768 (40*2π)/2195 weeks
41.06861 .08207 (41*2π)/2195 weeks
42.03623 .04869 (42*2π)/2195 weeks
43.01107 .06378 (43*2π)/2195 weeks
44-.01951 .05393 (44*2π)/2195 weeks
45.04549 -.00482 (45*2π)/2195 weeks
46.07531 -.02348 (46*2π)/2195 weeks
47.0761 -.03287 (47*2π)/2195 weeks
48.06927 .05278 (48*2π)/2195 weeks
49.10788 .11039 (49*2π)/2194 weeks
50.08297 .06498 (50*2π)/2194 weeks
51.02619 .06407 (51*2π)/2194 weeks
52.06338 .05395 (52*2π)/2194 weeks
53-.03129 -.01345 (53*2π)/2194 weeks
54.04109 .03841 (54*2π)/2194 weeks
55.12673 .05054 (55*2π)/2194 weeks
56.05138 -.02089 (56*2π)/2194 weeks
57.14153 .06246 (57*2π)/2194 weeks
58.07635 .03639 (58*2π)/2194 weeks
59.06576 .07531 (59*2π)/2194 weeks
60.06914 .05419 (60*2π)/2194 weeks
61.05927 .00742 (61*2π)/2194 weeks
62.09386 .0358 (62*2π)/2194 weeks
63.04625 .07297 (63*2π)/2193 weeks
64.10978 .05149 (64*2π)/2193 weeks
65.04731 .07245 (65*2π)/2193 weeks
66.00637 .02835 (66*2π)/2193 weeks
67.0108 .03396 (67*2π)/2193 weeks
68.04185 .04104 (68*2π)/2193 weeks
69-.00411 .02136 (69*2π)/2193 weeks
70.07228 .0255 (70*2π)/2193 weeks
71.07016 .04415 (71*2π)/2193 weeks
72.07087 .02922 (72*2π)/2193 weeks
73.10429 .07703 (73*2π)/2193 weeks
74.03957 .06467 (74*2π)/2193 weeks
75.06473 .06141 (75*2π)/2193 weeks
76.01542 -.01865 (76*2π)/2193 weeks
77.00185 .04434 (77*2π)/2193 weeks
78.03937 .00172 (78*2π)/2193 weeks
79.00155 .01938 (79*2π)/2193 weeks
80.02915 .03846 (80*2π)/2193 weeks
81.03196 .00578 (81*2π)/2193 weeks
82-.01254 .00329 (82*2π)/2193 weeks
83.04079 -.00436 (83*2π)/2193 weeks
84.05149 -.03811 (84*2π)/2193 weeks
85.05234 -.02537 (85*2π)/2193 weeks
86.07207 .0068 (86*2π)/2193 weeks
87.07267 .00679 (87*2π)/2193 weeks
88.06717 .00104 (88*2π)/2192 weeks
89.07376 .0247 (89*2π)/2192 weeks
90.03876 .03693 (90*2π)/2192 weeks
91.02586 .03187 (91*2π)/2192 weeks
92-.01512 -.01531 (92*2π)/2192 weeks
93.01782 .04439 (93*2π)/2192 weeks
94.06627 -.00226 (94*2π)/2192 weeks
95.03252 -.01095 (95*2π)/2192 weeks
96.05562 .03752 (96*2π)/2192 weeks
97.04265 .01366 (97*2π)/2192 weeks
98.02369 -.02351 (98*2π)/2192 weeks
99.08577 -.02841 (99*2π)/2192 weeks
100.05834 -.04562 (100*2π)/2192 weeks
101.08634 -.02501 (101*2π)/2192 weeks
102.05078 -.01038 (102*2π)/2192 weeks
103.05012 -.02637 (103*2π)/2192 weeks
104.07203 -.01902 (104*2π)/2192 weeks
105.06121 .0242 (105*2π)/2192 weeks
106.04503 .03051 (106*2π)/2192 weeks
107.05421 -.04343 (107*2π)/2192 weeks
108.0971 -.02316 (108*2π)/2192 weeks
109.09569 .00521 (109*2π)/2192 weeks
110.09569 -.00521 (110*2π)/2192 weeks
111.0971 .02316 (111*2π)/2192 weeks
112.05421 .04343 (112*2π)/2192 weeks
113.04503 -.03051 (113*2π)/2192 weeks
114.06121 -.0242 (114*2π)/2192 weeks
115.07203 .01902 (115*2π)/2192 weeks
116.05012 .02637 (116*2π)/2192 weeks
117.05078 .01038 (117*2π)/2192 weeks
118.08634 .02501 (118*2π)/2192 weeks
119.05834 .04562 (119*2π)/2192 weeks
120.08577 .02841 (120*2π)/2192 weeks
121.02369 .02351 (121*2π)/2192 weeks
122.04265 -.01366 (122*2π)/2192 weeks
123.05562 -.03752 (123*2π)/2192 weeks
124.03252 .01095 (124*2π)/2192 weeks
125.06627 .00226 (125*2π)/2192 weeks
126.01782 -.04439 (126*2π)/2192 weeks
127-.01512 .01531 (127*2π)/2192 weeks
128.02586 -.03187 (128*2π)/2192 weeks
129.03876 -.03693 (129*2π)/2192 weeks
130.07376 -.0247 (130*2π)/2192 weeks
131.06717 -.00104 (131*2π)/2192 weeks
132.07267 -.00679 (132*2π)/2192 weeks
133.07207 -.0068 (133*2π)/2192 weeks
134.05234 .02537 (134*2π)/2192 weeks
135.05149 .03811 (135*2π)/2192 weeks
136.04079 .00436 (136*2π)/2192 weeks
137-.01254 -.00329 (137*2π)/2192 weeks
138.03196 -.00578 (138*2π)/2192 weeks
139.02915 -.03846 (139*2π)/2192 weeks
140.00155 -.01938 (140*2π)/2192 weeks
141.03937 -.00172 (141*2π)/2192 weeks
142.00185 -.04434 (142*2π)/2192 weeks
143.01542 .01865 (143*2π)/2192 weeks
144.06473 -.06141 (144*2π)/2192 weeks
145.03957 -.06467 (145*2π)/2192 weeks
146.10429 -.07703 (146*2π)/2192 weeks
147.07087 -.02922 (147*2π)/2191 weeks
148.07016 -.04415 (148*2π)/2191 weeks
149.07228 -.0255 (149*2π)/2191 weeks
150-.00411 -.02136 (150*2π)/2191 weeks
151.04185 -.04104 (151*2π)/2191 weeks
152.0108 -.03396 (152*2π)/2191 weeks
153.00637 -.02835 (153*2π)/2191 weeks
154.04731 -.07245 (154*2π)/2191 weeks
155.10978 -.05149 (155*2π)/2191 weeks
156.04625 -.07297 (156*2π)/2191 weeks
157.09386 -.0358 (157*2π)/2191 weeks
158.05927 -.00742 (158*2π)/2191 weeks
159.06914 -.05419 (159*2π)/2191 weeks
160.06576 -.07531 (160*2π)/2191 weeks
161.07635 -.03639 (161*2π)/2191 weeks
162.14153 -.06246 (162*2π)/2191 weeks
163.05138 .02089 (163*2π)/2191 weeks
164.12673 -.05054 (164*2π)/2191 weeks
165.04109 -.03841 (165*2π)/2191 weeks
166-.03129 .01345 (166*2π)/2191 weeks
167.06338 -.05395 (167*2π)/2191 weeks
168.02619 -.06407 (168*2π)/2191 weeks
169.08297 -.06498 (169*2π)/2191 weeks
170.10788 -.11039 (170*2π)/2191 weeks
171.06927 -.05278 (171*2π)/2191 weeks
172.0761 .03287 (172*2π)/2191 weeks
173.07531 .02348 (173*2π)/2191 weeks
174.04549 .00482 (174*2π)/2191 weeks
175-.01951 -.05393 (175*2π)/2191 weeks
176.01107 -.06378 (176*2π)/2191 weeks
177.03623 -.04869 (177*2π)/2191 weeks
178.06861 -.08207 (178*2π)/2191 weeks
179.10581 -.08768 (179*2π)/2191 weeks
180.07954 -.04219 (180*2π)/2191 weeks
181.03966 -.05944 (181*2π)/2191 weeks
182.00653 -.07591 (182*2π)/2191 weeks
183.14093 -.02463 (183*2π)/2191 weeks
184.03301 -.12056 (184*2π)/2191 weeks
185.07946 -.02697 (185*2π)/2191 weeks
186.16933 -.04782 (186*2π)/2191 weeks
187.04344 -.06388 (187*2π)/2191 weeks
188.02344 -.10179 (188*2π)/2191 weeks
189.07277 -.09085 (189*2π)/2191 weeks
190-.0743 -.11786 (190*2π)/2191 weeks
191.02367 -.16469 (191*2π)/2191 weeks
192.06166 -.12088 (192*2π)/2191 weeks
193.14275 -.09932 (193*2π)/2191 weeks
194.07425 -.07268 (194*2π)/2191 weeks
195-.00582 .02368 (195*2π)/2191 weeks
196-.02724 .03628 (196*2π)/2191 weeks
197-.16838 -.15427 (197*2π)/2191 weeks
198-.02612 -.2099 (198*2π)/2191 weeks
199.11364 -.19291 (199*2π)/2191 weeks
200.02527 -.29827 (200*2π)/2191 weeks
201.20635 -.27213 (201*2π)/2191 weeks
202.34089 -.21412 (202*2π)/2191 weeks
203-.08587 -.22305 (203*2π)/2191 weeks
204.15902 -.04721 (204*2π)/2191 weeks
205.0584 -.13331 (205*2π)/2191 weeks
206.02523 -.21891 (206*2π)/2191 weeks
207.12861 -.41232 (207*2π)/2191 weeks
208.02722 -.3847 (208*2π)/2191 weeks
209.64326 -.03699 (209*2π)/2191 weeks
210.19925 -.0511 (210*2π)/2191 weeks
211.14354 .09984 (211*2π)/2191 weeks
212.15208 -.40809 (212*2π)/2191 weeks
213-.52331 -.54169 (213*2π)/2191 weeks
214-.13322 -.60092 (214*2π)/2191 weeks
215-.21281 -1.19331 (215*2π)/2191 weeks
2161.24288 -1.11532 (216*2π)/2191 weeks
217.99728 -1.00564 (217*2π)/2191 weeks