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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 9 weeks (.2682*cosine), 8 weeks (.2675*cosine), and 8 weeks (.2273*cosine).

ATLS (Atlas Energy, L.P. Common Units) has an average price of 2.45 (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 11/28/2016 for ATLS (Atlas Energy, L.P. Common Units), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
02.45306   0 
11.89612 2.12418 (1*2π)/9393 weeks
2.38103 1.29139 (2*2π)/9347 weeks
3.20805 .76962 (3*2π)/9331 weeks
4-.17712 .41644 (4*2π)/9323 weeks
5-.1106 .11912 (5*2π)/9319 weeks
6.12992 .20553 (6*2π)/9316 weeks
7.14733 .26744 (7*2π)/9313 weeks
8.16454 .3175 (8*2π)/9312 weeks
9.13275 .1476 (9*2π)/9310 weeks
10.26815 .09722 (10*2π)/939 weeks
11.26745 .19468 (11*2π)/938 weeks
12.2273 .19789 (12*2π)/938 weeks
13.15182 .22768 (13*2π)/937 weeks
14.07054 .22861 (14*2π)/937 weeks
15.14156 .20047 (15*2π)/936 weeks
16.07668 .18734 (16*2π)/936 weeks
17.15591 .16893 (17*2π)/935 weeks
18.10741 .15145 (18*2π)/935 weeks
19.11879 .10745 (19*2π)/935 weeks
20.10688 .14002 (20*2π)/935 weeks
21.09683 .11618 (21*2π)/934 weeks
22.08597 .09088 (22*2π)/934 weeks
23.13299 .07705 (23*2π)/934 weeks
24.14465 .13519 (24*2π)/934 weeks
25.09141 .10839 (25*2π)/934 weeks
26.09016 .09913 (26*2π)/934 weeks
27.11944 .05383 (27*2π)/933 weeks
28.11502 .07666 (28*2π)/933 weeks
29.09306 .0907 (29*2π)/933 weeks
30.07834 .0611 (30*2π)/933 weeks
31.11068 .05295 (31*2π)/933 weeks
32.11384 .07003 (32*2π)/933 weeks
33.08234 .04553 (33*2π)/933 weeks
34.09778 .01766 (34*2π)/933 weeks
35.09749 .02486 (35*2π)/933 weeks
36.09441 .02195 (36*2π)/933 weeks
37.09291 .02347 (37*2π)/933 weeks
38.0933 .00594 (38*2π)/932 weeks
39.09512 .04445 (39*2π)/932 weeks
40.0715 .03815 (40*2π)/932 weeks
41.09658 .0088 (41*2π)/932 weeks
42.13656 .00852 (42*2π)/932 weeks
43.14029 .04345 (43*2π)/932 weeks
44.08087 .04134 (44*2π)/932 weeks
45.07226 -.02591 (45*2π)/932 weeks
46.13863 -.00821 (46*2π)/932 weeks
47.13863 .00821 (47*2π)/932 weeks
48.07226 .02591 (48*2π)/932 weeks
49.08087 -.04134 (49*2π)/932 weeks
50.14029 -.04345 (50*2π)/932 weeks
51.13656 -.00852 (51*2π)/932 weeks
52.09658 -.0088 (52*2π)/932 weeks
53.0715 -.03815 (53*2π)/932 weeks
54.09512 -.04445 (54*2π)/932 weeks
55.0933 -.00594 (55*2π)/932 weeks
56.09291 -.02347 (56*2π)/932 weeks
57.09441 -.02195 (57*2π)/932 weeks
58.09749 -.02486 (58*2π)/932 weeks
59.09778 -.01766 (59*2π)/932 weeks
60.08234 -.04553 (60*2π)/932 weeks
61.11384 -.07003 (61*2π)/932 weeks
62.11068 -.05295 (62*2π)/932 weeks
63.07834 -.0611 (63*2π)/931 weeks
64.09306 -.0907 (64*2π)/931 weeks
65.11502 -.07666 (65*2π)/931 weeks
66.11944 -.05383 (66*2π)/931 weeks
67.09016 -.09913 (67*2π)/931 weeks
68.09141 -.10839 (68*2π)/931 weeks
69.14465 -.13519 (69*2π)/931 weeks
70.13299 -.07705 (70*2π)/931 weeks
71.08597 -.09088 (71*2π)/931 weeks
72.09683 -.11618 (72*2π)/931 weeks
73.10688 -.14002 (73*2π)/931 weeks
74.11879 -.10745 (74*2π)/931 weeks
75.10741 -.15145 (75*2π)/931 weeks
76.15591 -.16893 (76*2π)/931 weeks
77.07668 -.18734 (77*2π)/931 weeks
78.14156 -.20047 (78*2π)/931 weeks
79.07054 -.22861 (79*2π)/931 weeks
80.15182 -.22768 (80*2π)/931 weeks
81.2273 -.19789 (81*2π)/931 weeks
82.26745 -.19468 (82*2π)/931 weeks
83.26815 -.09722 (83*2π)/931 weeks
84.13275 -.1476 (84*2π)/931 weeks
85.16454 -.3175 (85*2π)/931 weeks
86.14733 -.26744 (86*2π)/931 weeks
87.12992 -.20553 (87*2π)/931 weeks
88-.1106 -.11912 (88*2π)/931 weeks
89-.17712 -.41644 (89*2π)/931 weeks
90.20805 -.76962 (90*2π)/931 weeks
91.38103 -1.29139 (91*2π)/931 weeks

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