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# Fourier Analysis of AR (Antero Resources Corporation)

AR (Antero Resources Corporation) appears to have interesting cyclic behaviour every 24 weeks (1.6882*sine), 19 weeks (1.1243*sine), and 20 weeks (.9485*sine).

AR (Antero Resources Corporation) has an average price of 33.79 (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 10/10/2013 to 5/21/2018 for AR (Antero Resources Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
033.7874   0
17.86287 14.7824 (1*2π)/242242 weeks
2-2.02818 11.01849 (2*2π)/242121 weeks
3-.43088 3.7385 (3*2π)/24281 weeks
4-1.64628 3.20135 (4*2π)/24261 weeks
5-.01519 .36396 (5*2π)/24248 weeks
61.00713 2.38643 (6*2π)/24240 weeks
7-.51017 1.6986 (7*2π)/24235 weeks
8.30756 .51228 (8*2π)/24230 weeks
9.75186 1.63439 (9*2π)/24227 weeks
10-.39636 1.6882 (10*2π)/24224 weeks
11-.03649 .57155 (11*2π)/24222 weeks
12.22858 .94852 (12*2π)/24220 weeks
13-.38338 1.12433 (13*2π)/24219 weeks
14.38827 .80886 (14*2π)/24217 weeks
15-.23384 .85621 (15*2π)/24216 weeks
16-.06133 .34556 (16*2π)/24215 weeks
17.10949 .27674 (17*2π)/24214 weeks
18.4363 .62155 (18*2π)/24213 weeks
19-.16024 .58102 (19*2π)/24213 weeks
20.75412 .22335 (20*2π)/24212 weeks
21.62843 1.00478 (21*2π)/24212 weeks
22.07449 .85707 (22*2π)/24211 weeks
23-.16049 .49837 (23*2π)/24211 weeks
24.37442 .30305 (24*2π)/24210 weeks
25.2962 .613 (25*2π)/24210 weeks
26.50111 .39136 (26*2π)/2429 weeks
27.2103 .75646 (27*2π)/2429 weeks
28-.13335 .71636 (28*2π)/2429 weeks
29-.21793 -.18066 (29*2π)/2428 weeks
30.33176 .5023 (30*2π)/2428 weeks
31.18864 .67109 (31*2π)/2428 weeks
32-.14435 .48535 (32*2π)/2428 weeks
33-.01551 .18929 (33*2π)/2427 weeks
34.40115 .39215 (34*2π)/2427 weeks
35.12795 .58665 (35*2π)/2427 weeks
36-.16659 .37301 (36*2π)/2427 weeks
37-.05943 .0676 (37*2π)/2427 weeks
38.41954 -.07159 (38*2π)/2426 weeks
39.11076 .33037 (39*2π)/2426 weeks
40.1685 .18356 (40*2π)/2426 weeks
41.06688 .06148 (41*2π)/2426 weeks
42.38941 .20468 (42*2π)/2426 weeks
43.01886 .28081 (43*2π)/2426 weeks
44.40455 .08202 (44*2π)/2426 weeks
45.06616 .10355 (45*2π)/2425 weeks
46.21137 .17773 (46*2π)/2425 weeks
47.02518 .24331 (47*2π)/2425 weeks
48.2719 .21056 (48*2π)/2425 weeks
49.28754 .29833 (49*2π)/2425 weeks
50.11557 .29529 (50*2π)/2425 weeks
51.13806 .34333 (51*2π)/2425 weeks
52-.08845 .42196 (52*2π)/2425 weeks
53.05001 .27758 (53*2π)/2425 weeks
54-.00299 .18063 (54*2π)/2424 weeks
55-.11015 .14577 (55*2π)/2424 weeks
56-.01998 .07611 (56*2π)/2424 weeks
57.0757 .04341 (57*2π)/2424 weeks
58.23563 -.0465 (58*2π)/2424 weeks
59.18616 .24831 (59*2π)/2424 weeks
60.13196 .05791 (60*2π)/2424 weeks
61-.03389 .15447 (61*2π)/2424 weeks
62.14242 -.05788 (62*2π)/2424 weeks
63.22797 .17666 (63*2π)/2424 weeks
64.11394 .13686 (64*2π)/2424 weeks
65.23473 .1129 (65*2π)/2424 weeks
66.15918 .25465 (66*2π)/2424 weeks
67.24186 .09291 (67*2π)/2424 weeks
68.15987 .11111 (68*2π)/2424 weeks
69.07822 .0577 (69*2π)/2424 weeks
70.15859 .05934 (70*2π)/2423 weeks
71.06727 .22284 (71*2π)/2423 weeks
72.10668 .12568 (72*2π)/2423 weeks
73.16029 -.03281 (73*2π)/2423 weeks
74.2002 .13694 (74*2π)/2423 weeks
75-.02347 .25243 (75*2π)/2423 weeks
76.09469 .0316 (76*2π)/2423 weeks
77.11149 .06517 (77*2π)/2423 weeks
78.16085 .01209 (78*2π)/2423 weeks
79.17718 .14995 (79*2π)/2423 weeks
80.08179 .11907 (80*2π)/2423 weeks
81.19577 .13163 (81*2π)/2423 weeks
82.17923 .01479 (82*2π)/2423 weeks
83.1755 .10163 (83*2π)/2423 weeks
84.23846 .18549 (84*2π)/2423 weeks
85.11031 .0541 (85*2π)/2423 weeks
86.19384 .04413 (86*2π)/2423 weeks
87.10189 .09294 (87*2π)/2423 weeks
88.04361 .06582 (88*2π)/2423 weeks
89-.04415 .07328 (89*2π)/2423 weeks
90.07534 .03783 (90*2π)/2423 weeks
91.23455 .09065 (91*2π)/2423 weeks
92.01716 .12818 (92*2π)/2423 weeks
93.05526 .05598 (93*2π)/2423 weeks
94.17547 -.01266 (94*2π)/2423 weeks
95.24209 .04999 (95*2π)/2423 weeks
96.09542 .14045 (96*2π)/2423 weeks
97.15318 .00009 (97*2π)/2422 weeks
98.06272 .04486 (98*2π)/2422 weeks
99.0592 .02074 (99*2π)/2422 weeks
100.16613 -.07885 (100*2π)/2422 weeks
101.20472 .01322 (101*2π)/2422 weeks
102.04569 .0787 (102*2π)/2422 weeks
103.03765 -.05461 (103*2π)/2422 weeks
104.1298 -.00721 (104*2π)/2422 weeks
105.27403 -.08134 (105*2π)/2422 weeks
106.19443 .05533 (106*2π)/2422 weeks
107.13729 -.0005 (107*2π)/2422 weeks
108.19533 -.01768 (108*2π)/2422 weeks
109.23767 .10872 (109*2π)/2422 weeks
110.14624 .20167 (110*2π)/2422 weeks
111.04473 .07452 (111*2π)/2422 weeks
112-.00632 -.12967 (112*2π)/2422 weeks
113.23125 -.17674 (113*2π)/2422 weeks
114.11318 .02647 (114*2π)/2422 weeks
115.08509 -.05186 (115*2π)/2422 weeks
116.27236 -.04327 (116*2π)/2422 weeks
117.15123 -.04095 (117*2π)/2422 weeks
118.11194 .00013 (118*2π)/2422 weeks
119.17272 .02437 (119*2π)/2422 weeks
120.15389 -.0159 (120*2π)/2422 weeks
121.19198   (121*2π)/2422 weeks
122.15389 .0159 (122*2π)/2422 weeks
123.17272 -.02437 (123*2π)/2422 weeks
124.11194 -.00013 (124*2π)/2422 weeks
125.15123 .04095 (125*2π)/2422 weeks
126.27236 .04327 (126*2π)/2422 weeks
127.08509 .05186 (127*2π)/2422 weeks
128.11318 -.02647 (128*2π)/2422 weeks
129.23125 .17674 (129*2π)/2422 weeks
130-.00632 .12967 (130*2π)/2422 weeks
131.04473 -.07452 (131*2π)/2422 weeks
132.14624 -.20167 (132*2π)/2422 weeks
133.23767 -.10872 (133*2π)/2422 weeks
134.19533 .01768 (134*2π)/2422 weeks
135.13729 .0005 (135*2π)/2422 weeks
136.19443 -.05533 (136*2π)/2422 weeks
137.27403 .08134 (137*2π)/2422 weeks
138.1298 .00721 (138*2π)/2422 weeks
139.03765 .05461 (139*2π)/2422 weeks
140.04569 -.0787 (140*2π)/2422 weeks
141.20472 -.01322 (141*2π)/2422 weeks
142.16613 .07885 (142*2π)/2422 weeks
143.0592 -.02074 (143*2π)/2422 weeks
144.06272 -.04486 (144*2π)/2422 weeks
145.15318 -.00009 (145*2π)/2422 weeks
146.09542 -.14045 (146*2π)/2422 weeks
147.24209 -.04999 (147*2π)/2422 weeks
148.17547 .01266 (148*2π)/2422 weeks
149.05526 -.05598 (149*2π)/2422 weeks
150.01716 -.12818 (150*2π)/2422 weeks
151.23455 -.09065 (151*2π)/2422 weeks
152.07534 -.03783 (152*2π)/2422 weeks
153-.04415 -.07328 (153*2π)/2422 weeks
154.04361 -.06582 (154*2π)/2422 weeks
155.10189 -.09294 (155*2π)/2422 weeks
156.19384 -.04413 (156*2π)/2422 weeks
157.11031 -.0541 (157*2π)/2422 weeks
158.23846 -.18549 (158*2π)/2422 weeks
159.1755 -.10163 (159*2π)/2422 weeks
160.17923 -.01479 (160*2π)/2422 weeks
161.19577 -.13163 (161*2π)/2422 weeks
162.08179 -.11907 (162*2π)/2421 weeks
163.17718 -.14995 (163*2π)/2421 weeks
164.16085 -.01209 (164*2π)/2421 weeks
165.11149 -.06517 (165*2π)/2421 weeks
166.09469 -.0316 (166*2π)/2421 weeks
167-.02347 -.25243 (167*2π)/2421 weeks
168.2002 -.13694 (168*2π)/2421 weeks
169.16029 .03281 (169*2π)/2421 weeks
170.10668 -.12568 (170*2π)/2421 weeks
171.06727 -.22284 (171*2π)/2421 weeks
172.15859 -.05934 (172*2π)/2421 weeks
173.07822 -.0577 (173*2π)/2421 weeks
174.15987 -.11111 (174*2π)/2421 weeks
175.24186 -.09291 (175*2π)/2421 weeks
176.15918 -.25465 (176*2π)/2421 weeks
177.23473 -.1129 (177*2π)/2421 weeks
178.11394 -.13686 (178*2π)/2421 weeks
179.22797 -.17666 (179*2π)/2421 weeks
180.14242 .05788 (180*2π)/2421 weeks
181-.03389 -.15447 (181*2π)/2421 weeks
182.13196 -.05791 (182*2π)/2421 weeks
183.18616 -.24831 (183*2π)/2421 weeks
184.23563 .0465 (184*2π)/2421 weeks
185.0757 -.04341 (185*2π)/2421 weeks
186-.01998 -.07611 (186*2π)/2421 weeks
187-.11015 -.14577 (187*2π)/2421 weeks
188-.00299 -.18063 (188*2π)/2421 weeks
189.05001 -.27758 (189*2π)/2421 weeks
190-.08845 -.42196 (190*2π)/2421 weeks
191.13806 -.34333 (191*2π)/2421 weeks
192.11557 -.29529 (192*2π)/2421 weeks
193.28754 -.29833 (193*2π)/2421 weeks
194.2719 -.21056 (194*2π)/2421 weeks
195.02518 -.24331 (195*2π)/2421 weeks
196.21137 -.17773 (196*2π)/2421 weeks
197.06616 -.10355 (197*2π)/2421 weeks
198.40455 -.08202 (198*2π)/2421 weeks
199.01886 -.28081 (199*2π)/2421 weeks
200.38941 -.20468 (200*2π)/2421 weeks
201.06688 -.06148 (201*2π)/2421 weeks
202.1685 -.18356 (202*2π)/2421 weeks
203.11076 -.33037 (203*2π)/2421 weeks
204.41954 .07159 (204*2π)/2421 weeks
205-.05943 -.0676 (205*2π)/2421 weeks
206-.16659 -.37301 (206*2π)/2421 weeks
207.12795 -.58665 (207*2π)/2421 weeks
208.40115 -.39215 (208*2π)/2421 weeks
209-.01551 -.18929 (209*2π)/2421 weeks
210-.14435 -.48535 (210*2π)/2421 weeks
211.18864 -.67109 (211*2π)/2421 weeks
212.33176 -.5023 (212*2π)/2421 weeks
213-.21793 .18066 (213*2π)/2421 weeks
214-.13335 -.71636 (214*2π)/2421 weeks
215.2103 -.75646 (215*2π)/2421 weeks
216.50111 -.39136 (216*2π)/2421 weeks
217.2962 -.613 (217*2π)/2421 weeks
218.37442 -.30305 (218*2π)/2421 weeks
219-.16049 -.49837 (219*2π)/2421 weeks
220.07449 -.85707 (220*2π)/2421 weeks
221.62843 -1.00478 (221*2π)/2421 weeks
222.75412 -.22335 (222*2π)/2421 weeks
223-.16024 -.58102 (223*2π)/2421 weeks
224.4363 -.62155 (224*2π)/2421 weeks
225.10949 -.27674 (225*2π)/2421 weeks
226-.06133 -.34556 (226*2π)/2421 weeks
227-.23384 -.85621 (227*2π)/2421 weeks
228.38827 -.80886 (228*2π)/2421 weeks
229-.38338 -1.12433 (229*2π)/2421 weeks
230.22858 -.94852 (230*2π)/2421 weeks
231-.03649 -.57155 (231*2π)/2421 weeks
232-.39636 -1.6882 (232*2π)/2421 weeks
233.75186 -1.63439 (233*2π)/2421 weeks
234.30756 -.51228 (234*2π)/2421 weeks
235-.51017 -1.6986 (235*2π)/2421 weeks
2361.00713 -2.38643 (236*2π)/2421 weeks
237-.01519 -.36396 (237*2π)/2421 weeks
238-1.64628 -3.20135 (238*2π)/2421 weeks
239-.43088 -3.7385 (239*2π)/2421 weeks
240-2.02818 -11.01849 (240*2π)/2421 weeks