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Fourier Analysis of ATLS (Atlas Energy, L.P. Common Units)


ATLS (Atlas Energy, L.P. Common Units) appears to have interesting cyclic behaviour every 7 weeks (.2572*sine), 9 weeks (.2483*cosine), and 7 weeks (.2424*sine).

ATLS (Atlas Energy, L.P. Common Units) has an average price of 2.17 (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 2/24/2015 to 3/20/2017 for ATLS (Atlas Energy, L.P. Common Units), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
02.17371   0 
11.85847 1.65107 (1*2π)/109109 weeks
2.24506 1.34642 (2*2π)/10955 weeks
3-.01887 .95941 (3*2π)/10936 weeks
4.02244 .89895 (4*2π)/10927 weeks
5-.00159 .38562 (5*2π)/10922 weeks
6-.0035 .08062 (6*2π)/10918 weeks
7.11304 .21055 (7*2π)/10916 weeks
8.17012 .28019 (8*2π)/10914 weeks
9.21843 .24106 (9*2π)/10912 weeks
10.08011 .18073 (10*2π)/10911 weeks
11.12872 .10748 (11*2π)/10910 weeks
12.24826 .13628 (12*2π)/1099 weeks
13.23014 .18668 (13*2π)/1098 weeks
14.18678 .18345 (14*2π)/1098 weeks
15.13563 .24236 (15*2π)/1097 weeks
16.13258 .25717 (16*2π)/1097 weeks
17.12725 .14532 (17*2π)/1096 weeks
18.11778 .17809 (18*2π)/1096 weeks
19.06667 .13852 (19*2π)/1096 weeks
20.13599 .16465 (20*2π)/1095 weeks
21.10384 .14183 (21*2π)/1095 weeks
22.09891 .10523 (22*2π)/1095 weeks
23.12145 .12598 (23*2π)/1095 weeks
24.09585 .11002 (24*2π)/1095 weeks
25.08988 .09665 (25*2π)/1094 weeks
26.08207 .07048 (26*2π)/1094 weeks
27.11948 .0725 (27*2π)/1094 weeks
28.13853 .11464 (28*2π)/1094 weeks
29.08866 .10527 (29*2π)/1094 weeks
30.09026 .08294 (30*2π)/1094 weeks
31.06898 .0632 (31*2π)/1094 weeks
32.11266 .069 (32*2π)/1093 weeks
33.10811 .07377 (33*2π)/1093 weeks
34.08888 .08221 (34*2π)/1093 weeks
35.07826 .05956 (35*2π)/1093 weeks
36.09937 .03634 (36*2π)/1093 weeks
37.09951 .04507 (37*2π)/1093 weeks
38.07769 .06542 (38*2π)/1093 weeks
39.07718 .04093 (39*2π)/1093 weeks
40.09824 .01966 (40*2π)/1093 weeks
41.09039 .02031 (41*2π)/1093 weeks
42.08411 .02308 (42*2π)/1093 weeks
43.08934 .0279 (43*2π)/1093 weeks
44.09018 .02178 (44*2π)/1092 weeks
45.11476 .00744 (45*2π)/1092 weeks
46.08212 .02227 (46*2π)/1092 weeks
47.05828 .02402 (47*2π)/1092 weeks
48.08926 .0087 (48*2π)/1092 weeks
49.122 -.00754 (49*2π)/1092 weeks
50.12259 .00876 (50*2π)/1092 weeks
51.08508 .04141 (51*2π)/1092 weeks
52.05173 .02029 (52*2π)/1092 weeks
53.07483 -.02934 (53*2π)/1092 weeks
54.12032 -.00104 (54*2π)/1092 weeks
55.12032 .00104 (55*2π)/1092 weeks
56.07483 .02934 (56*2π)/1092 weeks
57.05173 -.02029 (57*2π)/1092 weeks
58.08508 -.04141 (58*2π)/1092 weeks
59.12259 -.00876 (59*2π)/1092 weeks
60.122 .00754 (60*2π)/1092 weeks
61.08926 -.0087 (61*2π)/1092 weeks
62.05828 -.02402 (62*2π)/1092 weeks
63.08212 -.02227 (63*2π)/1092 weeks
64.11476 -.00744 (64*2π)/1092 weeks
65.09018 -.02178 (65*2π)/1092 weeks
66.08934 -.0279 (66*2π)/1092 weeks
67.08411 -.02308 (67*2π)/1092 weeks
68.09039 -.02031 (68*2π)/1092 weeks
69.09824 -.01966 (69*2π)/1092 weeks
70.07718 -.04093 (70*2π)/1092 weeks
71.07769 -.06542 (71*2π)/1092 weeks
72.09951 -.04507 (72*2π)/1092 weeks
73.09937 -.03634 (73*2π)/1091 weeks
74.07826 -.05956 (74*2π)/1091 weeks
75.08888 -.08221 (75*2π)/1091 weeks
76.10811 -.07377 (76*2π)/1091 weeks
77.11266 -.069 (77*2π)/1091 weeks
78.06898 -.0632 (78*2π)/1091 weeks
79.09026 -.08294 (79*2π)/1091 weeks
80.08866 -.10527 (80*2π)/1091 weeks
81.13853 -.11464 (81*2π)/1091 weeks
82.11948 -.0725 (82*2π)/1091 weeks
83.08207 -.07048 (83*2π)/1091 weeks
84.08988 -.09665 (84*2π)/1091 weeks
85.09585 -.11002 (85*2π)/1091 weeks
86.12145 -.12598 (86*2π)/1091 weeks
87.09891 -.10523 (87*2π)/1091 weeks
88.10384 -.14183 (88*2π)/1091 weeks
89.13599 -.16465 (89*2π)/1091 weeks
90.06667 -.13852 (90*2π)/1091 weeks
91.11778 -.17809 (91*2π)/1091 weeks
92.12725 -.14532 (92*2π)/1091 weeks
93.13258 -.25717 (93*2π)/1091 weeks
94.13563 -.24236 (94*2π)/1091 weeks
95.18678 -.18345 (95*2π)/1091 weeks
96.23014 -.18668 (96*2π)/1091 weeks
97.24826 -.13628 (97*2π)/1091 weeks
98.12872 -.10748 (98*2π)/1091 weeks
99.08011 -.18073 (99*2π)/1091 weeks
100.21843 -.24106 (100*2π)/1091 weeks
101.17012 -.28019 (101*2π)/1091 weeks
102.11304 -.21055 (102*2π)/1091 weeks
103-.0035 -.08062 (103*2π)/1091 weeks
104-.00159 -.38562 (104*2π)/1091 weeks
105.02244 -.89895 (105*2π)/1091 weeks
106-.01887 -.95941 (106*2π)/1091 weeks
107.24506 -1.34642 (107*2π)/1091 weeks

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