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# Fourier Analysis of WRLS (American Virtual Cloud Technologies)

WRLS (American Virtual Cloud Technologies) appears to have interesting cyclic behaviour every 12 weeks (.4351*sine), 13 weeks (.4285*sine), and 13 weeks (.1847*cosine).

WRLS (American Virtual Cloud Technologies) has an average price of 9.79 (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.

## Fourier Analysis

Using data from 8/8/2017 to 4/13/2020 for WRLS (American Virtual Cloud Technologies), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
09.79103   0
1-.54228 -.23835 (1*2π)/134134 weeks
2-.42982 .06131 (2*2π)/13467 weeks
3-.36774 .08097 (3*2π)/13445 weeks
4-.40426 .11996 (4*2π)/13434 weeks
5-.40259 .20376 (5*2π)/13427 weeks
6-.31846 .27767 (6*2π)/13422 weeks
7-.26438 .26997 (7*2π)/13419 weeks
8-.2835 .26559 (8*2π)/13417 weeks
9-.2765 .35113 (9*2π)/13415 weeks
10-.18466 .4285 (10*2π)/13413 weeks
11-.05533 .4351 (11*2π)/13412 weeks
12.03022 .37583 (12*2π)/13411 weeks
13.06084 .32134 (13*2π)/13410 weeks
14.07705 .28265 (14*2π)/13410 weeks
15.1001 .25863 (15*2π)/1349 weeks
16.13504 .21828 (16*2π)/1348 weeks
17.12766 .1569 (17*2π)/1348 weeks
18.09866 .13861 (18*2π)/1347 weeks
19.11179 .16354 (19*2π)/1347 weeks
20.15227 .13042 (20*2π)/1347 weeks
21.14953 .05275 (21*2π)/1346 weeks
22.08631 .01766 (22*2π)/1346 weeks
23.04841 .04515 (23*2π)/1346 weeks
24.06389 .06212 (24*2π)/1346 weeks
25.07035 .04375 (25*2π)/1345 weeks
26.04567 .01798 (26*2π)/1345 weeks
27-.00268 .03014 (27*2π)/1345 weeks
28-.02013 .07508 (28*2π)/1345 weeks
29.01922 .11511 (29*2π)/1345 weeks
30.06477 .09888 (30*2π)/1344 weeks
31.05888 .06616 (31*2π)/1344 weeks
32.02222 .08306 (32*2π)/1344 weeks
33.04936 .11689 (33*2π)/1344 weeks
34.1137 .09953 (34*2π)/1344 weeks
35.11789 .04075 (35*2π)/1344 weeks
36.07013 .01606 (36*2π)/1344 weeks
37.04904 .06161 (37*2π)/1344 weeks
38.08441 .07873 (38*2π)/1344 weeks
39.12458 .04825 (39*2π)/1343 weeks
40.11657 -.00467 (40*2π)/1343 weeks
41.0779 -.01974 (41*2π)/1343 weeks
42.06096 .00691 (42*2π)/1343 weeks
43.09038 .00883 (43*2π)/1343 weeks
44.09886 -.04519 (44*2π)/1343 weeks
45.04331 -.07413 (45*2π)/1343 weeks
46-.02437 -.04092 (46*2π)/1343 weeks
47-.01149 .02199 (47*2π)/1343 weeks
48.03575 .03042 (48*2π)/1343 weeks
49.0506 -.01026 (49*2π)/1343 weeks
50.0165 -.02036 (50*2π)/1343 weeks
51-.00672 -.00667 (51*2π)/1343 weeks
52-.0086 .00636 (52*2π)/1343 weeks
53-.00957 .00146 (53*2π)/1343 weeks
54-.03383 .01769 (54*2π)/1342 weeks
55-.05041 .06542 (55*2π)/1342 weeks
56-.01768 .12494 (56*2π)/1342 weeks
57.06532 .12693 (57*2π)/1342 weeks
58.10302 .07041 (58*2π)/1342 weeks
59.07454 .01202 (59*2π)/1342 weeks
60.0313 .03476 (60*2π)/1342 weeks
61.04128 .07706 (61*2π)/1342 weeks
62.08674 .07324 (62*2π)/1342 weeks
63.08564 .04094 (63*2π)/1342 weeks
64.07439 .04827 (64*2π)/1342 weeks
65.0929 .07942 (65*2π)/1342 weeks
66.15586 .06427 (66*2π)/1342 weeks
67.18036   (67*2π)/1342 weeks
68.15586 -.06427 (68*2π)/1342 weeks
69.0929 -.07942 (69*2π)/1342 weeks
70.07439 -.04827 (70*2π)/1342 weeks
71.08564 -.04094 (71*2π)/1342 weeks
72.08674 -.07324 (72*2π)/1342 weeks
73.04128 -.07706 (73*2π)/1342 weeks
74.0313 -.03476 (74*2π)/1342 weeks
75.07454 -.01202 (75*2π)/1342 weeks
76.10302 -.07041 (76*2π)/1342 weeks
77.06532 -.12693 (77*2π)/1342 weeks
78-.01768 -.12494 (78*2π)/1342 weeks
79-.05041 -.06542 (79*2π)/1342 weeks
80-.03383 -.01769 (80*2π)/1342 weeks
81-.00957 -.00146 (81*2π)/1342 weeks
82-.0086 -.00636 (82*2π)/1342 weeks
83-.00672 .00667 (83*2π)/1342 weeks
84.0165 .02036 (84*2π)/1342 weeks
85.0506 .01026 (85*2π)/1342 weeks
86.03575 -.03042 (86*2π)/1342 weeks
87-.01149 -.02199 (87*2π)/1342 weeks
88-.02437 .04092 (88*2π)/1342 weeks
89.04331 .07413 (89*2π)/1342 weeks
90.09886 .04519 (90*2π)/1341 weeks
91.09038 -.00883 (91*2π)/1341 weeks
92.06096 -.00691 (92*2π)/1341 weeks
93.0779 .01974 (93*2π)/1341 weeks
94.11657 .00467 (94*2π)/1341 weeks
95.12458 -.04825 (95*2π)/1341 weeks
96.08441 -.07873 (96*2π)/1341 weeks
97.04904 -.06161 (97*2π)/1341 weeks
98.07013 -.01606 (98*2π)/1341 weeks
99.11789 -.04075 (99*2π)/1341 weeks
100.1137 -.09953 (100*2π)/1341 weeks
101.04936 -.11689 (101*2π)/1341 weeks
102.02222 -.08306 (102*2π)/1341 weeks
103.05888 -.06616 (103*2π)/1341 weeks
104.06477 -.09888 (104*2π)/1341 weeks
105.01922 -.11511 (105*2π)/1341 weeks
106-.02013 -.07508 (106*2π)/1341 weeks
107-.00268 -.03014 (107*2π)/1341 weeks
108.04567 -.01798 (108*2π)/1341 weeks
109.07035 -.04375 (109*2π)/1341 weeks
110.06389 -.06212 (110*2π)/1341 weeks
111.04841 -.04515 (111*2π)/1341 weeks
112.08631 -.01766 (112*2π)/1341 weeks
113.14953 -.05275 (113*2π)/1341 weeks
114.15227 -.13042 (114*2π)/1341 weeks
115.11179 -.16354 (115*2π)/1341 weeks
116.09866 -.13861 (116*2π)/1341 weeks
117.12766 -.1569 (117*2π)/1341 weeks
118.13504 -.21828 (118*2π)/1341 weeks
119.1001 -.25863 (119*2π)/1341 weeks
120.07705 -.28265 (120*2π)/1341 weeks
121.06084 -.32134 (121*2π)/1341 weeks
122.03022 -.37583 (122*2π)/1341 weeks
123-.05533 -.4351 (123*2π)/1341 weeks
124-.18466 -.4285 (124*2π)/1341 weeks
125-.2765 -.35113 (125*2π)/1341 weeks
126-.2835 -.26559 (126*2π)/1341 weeks
127-.26438 -.26997 (127*2π)/1341 weeks
128-.31846 -.27767 (128*2π)/1341 weeks
129-.40259 -.20376 (129*2π)/1341 weeks
130-.40426 -.11996 (130*2π)/1341 weeks
131-.36774 -.08097 (131*2π)/1341 weeks
132-.42982 -.06131 (132*2π)/1341 weeks