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Fourier Analysis of AR (Antero Resources Corporation Co)


AR (Antero Resources Corporation Co) appears to have interesting cyclic behaviour every 17 weeks (1.4142*sine), 12 weeks (1.2063*cosine), and 12 weeks (.8966*sine).

AR (Antero Resources Corporation Co) has an average price of 39.77 (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 10/10/2013 to 11/28/2016 for AR (Antero Resources Corporation Co), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
039.77048   0 
14.61003 18.98754 (1*2π)/165165 weeks
2-1.65496 4.42593 (2*2π)/16583 weeks
3-2.81612 1.85469 (3*2π)/16555 weeks
41.63385 2.62826 (4*2π)/16541 weeks
5-.8455 1.30986 (5*2π)/16533 weeks
61.32461 1.72875 (6*2π)/16528 weeks
7-.80899 1.60524 (7*2π)/16524 weeks
8.48051 1.02255 (8*2π)/16521 weeks
9-.44371 .95524 (9*2π)/16518 weeks
10-.09272 1.41415 (10*2π)/16517 weeks
11-.02876 .4063 (11*2π)/16515 weeks
12.61307 .36506 (12*2π)/16514 weeks
13-.21472 .49087 (13*2π)/16513 weeks
141.2063 .89655 (14*2π)/16512 weeks
15.0384 1.18186 (15*2π)/16511 weeks
16-.03149 .25472 (16*2π)/16510 weeks
17.31115 .81408 (17*2π)/16510 weeks
18.63676 .92491 (18*2π)/1659 weeks
19-.12969 1.11543 (19*2π)/1659 weeks
20.36281 -.18712 (20*2π)/1658 weeks
21.27681 .75467 (21*2π)/1658 weeks
22-.27095 .44513 (22*2π)/1658 weeks
23.40516 .21934 (23*2π)/1657 weeks
24-.04987 .75889 (24*2π)/1657 weeks
25-.2987 .15157 (25*2π)/1657 weeks
26.53786 .02746 (26*2π)/1656 weeks
27.0593 .19718 (27*2π)/1656 weeks
28.03661 .04251 (28*2π)/1656 weeks
29.228 .56405 (29*2π)/1656 weeks
30.43355 .15452 (30*2π)/1656 weeks
31.22326 .09841 (31*2π)/1655 weeks
32.08343 .29736 (32*2π)/1655 weeks
33.36981 .30621 (33*2π)/1655 weeks
34.16954 .47882 (34*2π)/1655 weeks
35.1699 .59305 (35*2π)/1655 weeks
36-.03636 .30218 (36*2π)/1655 weeks
37-.07643 .26333 (37*2π)/1654 weeks
38-.09074 .03914 (38*2π)/1654 weeks
39.04223 -.02839 (39*2π)/1654 weeks
40.3794 .23453 (40*2π)/1654 weeks
41.18519 .11126 (41*2π)/1654 weeks
42-.01278 -.1052 (42*2π)/1654 weeks
43.28422 .19662 (43*2π)/1654 weeks
44.18249 .04886 (44*2π)/1654 weeks
45.13669 .28121 (45*2π)/1654 weeks
46.22147 .20987 (46*2π)/1654 weeks
47.10005 .15414 (47*2π)/1654 weeks
48.27208 .22218 (48*2π)/1653 weeks
49.08269 .13817 (49*2π)/1653 weeks
50.27501 .01822 (50*2π)/1653 weeks
51.07031 .3467 (51*2π)/1653 weeks
52.16058 .01579 (52*2π)/1653 weeks
53.1791 -.00737 (53*2π)/1653 weeks
54.22657 .20238 (54*2π)/1653 weeks
55.21879 .07012 (55*2π)/1653 weeks
56.22498 .0212 (56*2π)/1653 weeks
57.27305 .12208 (57*2π)/1653 weeks
58.06442 .07954 (58*2π)/1653 weeks
59.18471 .18467 (59*2π)/1653 weeks
60.0941 .14513 (60*2π)/1653 weeks
61.0374 -.00147 (61*2π)/1653 weeks
62.28431 .06321 (62*2π)/1653 weeks
63.0035 .05303 (63*2π)/1653 weeks
64.13769 -.08202 (64*2π)/1653 weeks
65.25778 .13557 (65*2π)/1653 weeks
66.09335 -.01419 (66*2π)/1653 weeks
67.03915 .03737 (67*2π)/1652 weeks
68.0833 -.12051 (68*2π)/1652 weeks
69.21474 .0819 (69*2π)/1652 weeks
70-.02851 -.04551 (70*2π)/1652 weeks
71.11381 -.08426 (71*2π)/1652 weeks
72.3171 .06364 (72*2π)/1652 weeks
73.16231 .00573 (73*2π)/1652 weeks
74.31279 .0423 (74*2π)/1652 weeks
75.13078 .26072 (75*2π)/1652 weeks
76-.08801 .04281 (76*2π)/1652 weeks
77.28116 -.2102 (77*2π)/1652 weeks
78.1005 .02461 (78*2π)/1652 weeks
79.30369 -.08643 (79*2π)/1652 weeks
80.20175 -.00314 (80*2π)/1652 weeks
81.21438 -.0172 (81*2π)/1652 weeks
82.19021 -.04147 (82*2π)/1652 weeks
83.19021 .04147 (83*2π)/1652 weeks
84.21438 .0172 (84*2π)/1652 weeks
85.20175 .00314 (85*2π)/1652 weeks
86.30369 .08643 (86*2π)/1652 weeks
87.1005 -.02461 (87*2π)/1652 weeks
88.28116 .2102 (88*2π)/1652 weeks
89-.08801 -.04281 (89*2π)/1652 weeks
90.13078 -.26072 (90*2π)/1652 weeks
91.31279 -.0423 (91*2π)/1652 weeks
92.16231 -.00573 (92*2π)/1652 weeks
93.3171 -.06364 (93*2π)/1652 weeks
94.11381 .08426 (94*2π)/1652 weeks
95-.02851 .04551 (95*2π)/1652 weeks
96.21474 -.0819 (96*2π)/1652 weeks
97.0833 .12051 (97*2π)/1652 weeks
98.03915 -.03737 (98*2π)/1652 weeks
99.09335 .01419 (99*2π)/1652 weeks
100.25778 -.13557 (100*2π)/1652 weeks
101.13769 .08202 (101*2π)/1652 weeks
102.0035 -.05303 (102*2π)/1652 weeks
103.28431 -.06321 (103*2π)/1652 weeks
104.0374 .00147 (104*2π)/1652 weeks
105.0941 -.14513 (105*2π)/1652 weeks
106.18471 -.18467 (106*2π)/1652 weeks
107.06442 -.07954 (107*2π)/1652 weeks
108.27305 -.12208 (108*2π)/1652 weeks
109.22498 -.0212 (109*2π)/1652 weeks
110.21879 -.07012 (110*2π)/1652 weeks
111.22657 -.20238 (111*2π)/1651 weeks
112.1791 .00737 (112*2π)/1651 weeks
113.16058 -.01579 (113*2π)/1651 weeks
114.07031 -.3467 (114*2π)/1651 weeks
115.27501 -.01822 (115*2π)/1651 weeks
116.08269 -.13817 (116*2π)/1651 weeks
117.27208 -.22218 (117*2π)/1651 weeks
118.10005 -.15414 (118*2π)/1651 weeks
119.22147 -.20987 (119*2π)/1651 weeks
120.13669 -.28121 (120*2π)/1651 weeks
121.18249 -.04886 (121*2π)/1651 weeks
122.28422 -.19662 (122*2π)/1651 weeks
123-.01278 .1052 (123*2π)/1651 weeks
124.18519 -.11126 (124*2π)/1651 weeks
125.3794 -.23453 (125*2π)/1651 weeks
126.04223 .02839 (126*2π)/1651 weeks
127-.09074 -.03914 (127*2π)/1651 weeks
128-.07643 -.26333 (128*2π)/1651 weeks
129-.03636 -.30218 (129*2π)/1651 weeks
130.1699 -.59305 (130*2π)/1651 weeks
131.16954 -.47882 (131*2π)/1651 weeks
132.36981 -.30621 (132*2π)/1651 weeks
133.08343 -.29736 (133*2π)/1651 weeks
134.22326 -.09841 (134*2π)/1651 weeks
135.43355 -.15452 (135*2π)/1651 weeks
136.228 -.56405 (136*2π)/1651 weeks
137.03661 -.04251 (137*2π)/1651 weeks
138.0593 -.19718 (138*2π)/1651 weeks
139.53786 -.02746 (139*2π)/1651 weeks
140-.2987 -.15157 (140*2π)/1651 weeks
141-.04987 -.75889 (141*2π)/1651 weeks
142.40516 -.21934 (142*2π)/1651 weeks
143-.27095 -.44513 (143*2π)/1651 weeks
144.27681 -.75467 (144*2π)/1651 weeks
145.36281 .18712 (145*2π)/1651 weeks
146-.12969 -1.11543 (146*2π)/1651 weeks
147.63676 -.92491 (147*2π)/1651 weeks
148.31115 -.81408 (148*2π)/1651 weeks
149-.03149 -.25472 (149*2π)/1651 weeks
150.0384 -1.18186 (150*2π)/1651 weeks
1511.2063 -.89655 (151*2π)/1651 weeks
152-.21472 -.49087 (152*2π)/1651 weeks
153.61307 -.36506 (153*2π)/1651 weeks
154-.02876 -.4063 (154*2π)/1651 weeks
155-.09272 -1.41415 (155*2π)/1651 weeks
156-.44371 -.95524 (156*2π)/1651 weeks
157.48051 -1.02255 (157*2π)/1651 weeks
158-.80899 -1.60524 (158*2π)/1651 weeks
1591.32461 -1.72875 (159*2π)/1651 weeks
160-.8455 -1.30986 (160*2π)/1651 weeks
1611.63385 -2.62826 (161*2π)/1651 weeks
162-2.81612 -1.85469 (162*2π)/1651 weeks
163-1.65496 -4.42593 (163*2π)/1651 weeks

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