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# Fourier Analysis of PDC (PDC Energy, Inc.)

PDC (PDC Energy, Inc.) appears to have interesting cyclic behaviour every 35 weeks (299.841*sine), 22 weeks (199.6138*sine), and 23 weeks (149.8093*cosine).

PDC (PDC Energy, Inc.) has an average price of 1,879.19 (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 2/27/2007 to 3/20/2017 for PDC (PDC Energy, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,879.192   0
11,285.291 -2,821.628 (1*2π)/346346 weeks
2-1,191.74 -1,289.115 (2*2π)/346173 weeks
3-341.5481 270.442 (3*2π)/346115 weeks
4257.4862 -284.0249 (4*2π)/34687 weeks
5-214.8307 -293.1339 (5*2π)/34669 weeks
6-32.76978 69.34352 (6*2π)/34658 weeks
7162.9 -81.05579 (7*2π)/34649 weeks
8134.2122 -140.7796 (8*2π)/34643 weeks
9142.8702 -271.9188 (9*2π)/34638 weeks
10-98.35674 -299.841 (10*2π)/34635 weeks
11-99.51651 -62.11016 (11*2π)/34631 weeks
1229.51034 -136.413 (12*2π)/34629 weeks
13-143.6961 -128.4843 (13*2π)/34627 weeks
14-27.51563 84.5346 (14*2π)/34625 weeks
15149.8093 -104.4165 (15*2π)/34623 weeks
16-71.78616 -199.6138 (16*2π)/34622 weeks
17-83.17961 -2.16805 (17*2π)/34620 weeks
1840.96341 -55.0626 (18*2π)/34619 weeks
19-46.47765 -92.90128 (19*2π)/34618 weeks
20-27.85766 -18.58096 (20*2π)/34617 weeks
21-15.50079 -60.17723 (21*2π)/34616 weeks
22-59.9271 2.04507 (22*2π)/34616 weeks
2339.73088 33.2901 (23*2π)/34615 weeks
2438.51438 -43.38593 (24*2π)/34614 weeks
2532.54399 6.10557 (25*2π)/34614 weeks
26129.2083 -67.2477 (26*2π)/34613 weeks
271.41161 -178.3551 (27*2π)/34613 weeks
28-76.85059 -34.40863 (28*2π)/34612 weeks
2955.41302 -28.45555 (29*2π)/34612 weeks
30-13.87519 -135.6526 (30*2π)/34612 weeks
31-85.39144 -22.61158 (31*2π)/34611 weeks
3229.66759 6.46083 (32*2π)/34611 weeks
3319.06439 -81.60146 (33*2π)/34610 weeks
34-30.73662 -50.37537 (34*2π)/34610 weeks
35-2.81565 -36.54164 (35*2π)/34610 weeks
36-7.87994 -49.79849 (36*2π)/34610 weeks
37-2.94427 -53.91893 (37*2π)/3469 weeks
38-39.27433 -71.05942 (38*2π)/3469 weeks
39-57.50775 1.21286 (39*2π)/3469 weeks
4038.63053 1.16643 (40*2π)/3469 weeks
412.72404 -97.10048 (41*2π)/3468 weeks
42-80.09481 -23.77085 (42*2π)/3468 weeks
4317.73668 28.07725 (43*2π)/3468 weeks
4432.67567 -71.8791 (44*2π)/3468 weeks
45-44.23621 -59.15155 (45*2π)/3468 weeks
46-17.37637 -26.43315 (46*2π)/3468 weeks
47-36.91088 -57.30014 (47*2π)/3467 weeks
48-67.49348 -.32485 (48*2π)/3467 weeks
49-4.26306 26.89601 (49*2π)/3467 weeks
5016.93472 -15.33129 (50*2π)/3467 weeks
5110.08394 -35.39379 (51*2π)/3467 weeks
52-21.2931 -64.59455 (52*2π)/3467 weeks
53-79.94945 -11.19309 (53*2π)/3467 weeks
54-7.408 62.95647 (54*2π)/3466 weeks
5562.3506 -15.517 (55*2π)/3466 weeks
56-5.62731 -60.8842 (56*2π)/3466 weeks
57-16.4286 -16.68277 (57*2π)/3466 weeks
58-.90245 -37.28855 (58*2π)/3466 weeks
59-40.48447 -26.12363 (59*2π)/3466 weeks
60-13.97552 16.54732 (60*2π)/3466 weeks
6117.52258 -8.55652 (61*2π)/3466 weeks
628.87868 -19.07376 (62*2π)/3466 weeks
6321.01777 -31.58548 (63*2π)/3465 weeks
64-3.82771 -58.58001 (64*2π)/3465 weeks
65-26.17182 -36.40934 (65*2π)/3465 weeks
66-17.08303 -36.1924 (66*2π)/3465 weeks
67-42.23316 -29.89983 (67*2π)/3465 weeks
68-20.22797 7.42768 (68*2π)/3465 weeks
699.22607 -31.6692 (69*2π)/3465 weeks
70-44.38388 -41.07228 (70*2π)/3465 weeks
71-30.15216 14.62909 (71*2π)/3465 weeks
7212.35795 -23.7001 (72*2π)/3465 weeks
73-45.96255 -47.29633 (73*2π)/3465 weeks
74-56.45587 18.14137 (74*2π)/3465 weeks
75-3.58131 26.5692 (75*2π)/3465 weeks
768.75881 1.04094 (76*2π)/3465 weeks
7710.29058 -18.93666 (77*2π)/3464 weeks
78-21.76078 -36.88694 (78*2π)/3464 weeks
79-44.15259 7.51112 (79*2π)/3464 weeks
805.08148 26.04958 (80*2π)/3464 weeks
8114.8695 -11.45132 (81*2π)/3464 weeks
823.97862 -7.90083 (82*2π)/3464 weeks
8321.70108 -29.9252 (83*2π)/3464 weeks
84-26.38362 -58.68688 (84*2π)/3464 weeks
85-59.77522 -1.35469 (85*2π)/3464 weeks
86-13.43349 29.00316 (86*2π)/3464 weeks
877.96479 10.47022 (87*2π)/3464 weeks
8823.37406 .29467 (88*2π)/3464 weeks
8921.91259 -42.10122 (89*2π)/3464 weeks
90-32.16489 -43.02431 (90*2π)/3464 weeks
91-28.81557 5.09021 (91*2π)/3464 weeks
92-.67443 -4.83593 (92*2π)/3464 weeks
93-14.5274 -7.65996 (93*2π)/3464 weeks
945.32046 4.70064 (94*2π)/3464 weeks
9510.22321 -25.9947 (95*2π)/3464 weeks
96-16.06792 -18.81638 (96*2π)/3464 weeks
974.83116 -7.95577 (97*2π)/3464 weeks
98-1.58887 -38.26598 (98*2π)/3464 weeks
99-30.40147 -21.54289 (99*2π)/3463 weeks
100-12.09848 -7.95313 (100*2π)/3463 weeks
101-20.46447 -21.27394 (101*2π)/3463 weeks
102-24.89119 4.04006 (102*2π)/3463 weeks
1034.81444 -4.46989 (103*2π)/3463 weeks
104-17.94435 -25.97441 (104*2π)/3463 weeks
105-24.9169 6.68042 (105*2π)/3463 weeks
1067.20691 -1.11288 (106*2π)/3463 weeks
107-11.65641 -22.68845 (107*2π)/3463 weeks
108-17.31542 -.42368 (108*2π)/3463 weeks
109-.96629 -8.6397 (109*2π)/3463 weeks
110-16.55451 -10.94257 (110*2π)/3463 weeks
111-3.43719 5.22525 (111*2π)/3463 weeks
1125.71951 -16.36995 (112*2π)/3463 weeks
113-12.67751 -13.29266 (113*2π)/3463 weeks
1144.9644 -8.30753 (114*2π)/3463 weeks
115-6.60451 -35.79297 (115*2π)/3463 weeks
116-32.78761 -10.00596 (116*2π)/3463 weeks
1172.25323 2.46993 (117*2π)/3463 weeks
118-4.92056 -35.79134 (118*2π)/3463 weeks
119-39.84478 -12.88687 (119*2π)/3463 weeks
120-10.72199 10.71517 (120*2π)/3463 weeks
121-1.90123 -14.26503 (121*2π)/3463 weeks
122-16.02082 -10.6751 (122*2π)/3463 weeks
123-8.09969 -10.49256 (123*2π)/3463 weeks
124-19.21636 -14.6595 (124*2π)/3463 weeks
125-14.24676 .19294 (125*2π)/3463 weeks
126-6.53051 -14.89716 (126*2π)/3463 weeks
127-28.96685 -7.81596 (127*2π)/3463 weeks
128-4.96556 15.75332 (128*2π)/3463 weeks
12912.59359 -19.49272 (129*2π)/3463 weeks
130-23.32137 -25.16804 (130*2π)/3463 weeks
131-15.63558 .31428 (131*2π)/3463 weeks
132-8.77979 -16.29872 (132*2π)/3463 weeks
133-25.70421 -1.12672 (133*2π)/3463 weeks
1349.57378 7.13614 (134*2π)/3463 weeks
1356.34283 -42.02007 (135*2π)/3463 weeks
136-44.70849 -30.61545 (136*2π)/3463 weeks
137-32.00898 9.25049 (137*2π)/3463 weeks
138-11.25262 .89285 (138*2π)/3463 weeks
139-10.98711 -2.22904 (139*2π)/3462 weeks
140-5.82605 -14.00092 (140*2π)/3462 weeks
141-28.91996 -17.42518 (141*2π)/3462 weeks
142-22.98089 10.77241 (142*2π)/3462 weeks
143.63862 -7.67267 (143*2π)/3462 weeks
144-28.16986 -17.09126 (144*2π)/3462 weeks
145-17.84081 15.6702 (145*2π)/3462 weeks
14610.33703 -14.76425 (146*2π)/3462 weeks
147-34.36842 -33.2104 (147*2π)/3462 weeks
148-41.66616 14.23805 (148*2π)/3462 weeks
149-3.00425 11.20258 (149*2π)/3462 weeks
150-12.55682 -13.22986 (150*2π)/3462 weeks
151-26.16996 -4.3507 (151*2π)/3462 weeks
152-27.22039 5.8534 (152*2π)/3462 weeks
153-14.25202 22.48668 (153*2π)/3462 weeks
15414.50781 2.7086 (154*2π)/3462 weeks
155-13.78304 -28.77336 (155*2π)/3462 weeks
156-37.71751 5.62769 (156*2π)/3462 weeks
157-4.71897 14.49934 (157*2π)/3462 weeks
158-15.08116 -5.46968 (158*2π)/3462 weeks
159-14.47208 25.03673 (159*2π)/3462 weeks
16031.4188 5.32518 (160*2π)/3462 weeks
1611.70856 -43.43071 (161*2π)/3462 weeks
162-33.81214 -14.86148 (162*2π)/3462 weeks
163-12.44908 -4.59146 (163*2π)/3462 weeks
164-27.82467 -18.03138 (164*2π)/3462 weeks
165-34.74718 12.81598 (165*2π)/3462 weeks
166-2.59627 16.13587 (166*2π)/3462 weeks
1671.85763 -6.34484 (167*2π)/3462 weeks
168-5.97366 -18.20447 (168*2π)/3462 weeks
169-30.48004 -24.19007 (169*2π)/3462 weeks
170-43.37355 12.30264 (170*2π)/3462 weeks
171.18053 21.20636 (171*2π)/3462 weeks
172-4.85218 -22.53618 (172*2π)/3462 weeks
173-41.29997   (173*2π)/3462 weeks
174-4.85218 22.53618 (174*2π)/3462 weeks
175.18053 -21.20636 (175*2π)/3462 weeks
176-43.37355 -12.30264 (176*2π)/3462 weeks
177-30.48004 24.19007 (177*2π)/3462 weeks
178-5.97366 18.20447 (178*2π)/3462 weeks
1791.85763 6.34484 (179*2π)/3462 weeks
180-2.59627 -16.13587 (180*2π)/3462 weeks
181-34.74718 -12.81598 (181*2π)/3462 weeks
182-27.82467 18.03138 (182*2π)/3462 weeks
183-12.44908 4.59146 (183*2π)/3462 weeks
184-33.81214 14.86148 (184*2π)/3462 weeks
1851.70856 43.43071 (185*2π)/3462 weeks
18631.4188 -5.32518 (186*2π)/3462 weeks
187-14.47208 -25.03673 (187*2π)/3462 weeks
188-15.08116 5.46968 (188*2π)/3462 weeks
189-4.71897 -14.49934 (189*2π)/3462 weeks
190-37.71751 -5.62769 (190*2π)/3462 weeks
191-13.78304 28.77336 (191*2π)/3462 weeks
19214.50781 -2.7086 (192*2π)/3462 weeks
193-14.25202 -22.48668 (193*2π)/3462 weeks
194-27.22039 -5.8534 (194*2π)/3462 weeks
195-26.16996 4.3507 (195*2π)/3462 weeks
196-12.55682 13.22986 (196*2π)/3462 weeks
197-3.00425 -11.20258 (197*2π)/3462 weeks
198-41.66616 -14.23805 (198*2π)/3462 weeks
199-34.36842 33.2104 (199*2π)/3462 weeks
20010.33703 14.76425 (200*2π)/3462 weeks
201-17.84081 -15.6702 (201*2π)/3462 weeks
202-28.16986 17.09126 (202*2π)/3462 weeks
203.63862 7.67267 (203*2π)/3462 weeks
204-22.98089 -10.77241 (204*2π)/3462 weeks
205-28.91996 17.42518 (205*2π)/3462 weeks
206-5.82605 14.00092 (206*2π)/3462 weeks
207-10.98711 2.22904 (207*2π)/3462 weeks
208-11.25262 -.89285 (208*2π)/3462 weeks
209-32.00898 -9.25049 (209*2π)/3462 weeks
210-44.70849 30.61545 (210*2π)/3462 weeks
2116.34283 42.02007 (211*2π)/3462 weeks
2129.57378 -7.13614 (212*2π)/3462 weeks
213-25.70421 1.12672 (213*2π)/3462 weeks
214-8.77979 16.29872 (214*2π)/3462 weeks
215-15.63558 -.31428 (215*2π)/3462 weeks
216-23.32137 25.16804 (216*2π)/3462 weeks
21712.59359 19.49272 (217*2π)/3462 weeks
218-4.96556 -15.75332 (218*2π)/3462 weeks
219-28.96685 7.81596 (219*2π)/3462 weeks
220-6.53051 14.89716 (220*2π)/3462 weeks
221-14.24676 -.19294 (221*2π)/3462 weeks
222-19.21636 14.6595 (222*2π)/3462 weeks
223-8.09969 10.49256 (223*2π)/3462 weeks
224-16.02082 10.6751 (224*2π)/3462 weeks
225-1.90123 14.26503 (225*2π)/3462 weeks
226-10.72199 -10.71517 (226*2π)/3462 weeks
227-39.84478 12.88687 (227*2π)/3462 weeks
228-4.92056 35.79134 (228*2π)/3462 weeks
2292.25323 -2.46993 (229*2π)/3462 weeks
230-32.78761 10.00596 (230*2π)/3462 weeks
231-6.60451 35.79297 (231*2π)/3461 weeks
2324.9644 8.30753 (232*2π)/3461 weeks
233-12.67751 13.29266 (233*2π)/3461 weeks
2345.71951 16.36995 (234*2π)/3461 weeks
235-3.43719 -5.22525 (235*2π)/3461 weeks
236-16.55451 10.94257 (236*2π)/3461 weeks
237-.96629 8.6397 (237*2π)/3461 weeks
238-17.31542 .42368 (238*2π)/3461 weeks
239-11.65641 22.68845 (239*2π)/3461 weeks
2407.20691 1.11288 (240*2π)/3461 weeks
241-24.9169 -6.68042 (241*2π)/3461 weeks
242-17.94435 25.97441 (242*2π)/3461 weeks
2434.81444 4.46989 (243*2π)/3461 weeks
244-24.89119 -4.04006 (244*2π)/3461 weeks
245-20.46447 21.27394 (245*2π)/3461 weeks
246-12.09848 7.95313 (246*2π)/3461 weeks
247-30.40147 21.54289 (247*2π)/3461 weeks
248-1.58887 38.26598 (248*2π)/3461 weeks
2494.83116 7.95577 (249*2π)/3461 weeks
250-16.06792 18.81638 (250*2π)/3461 weeks
25110.22321 25.9947 (251*2π)/3461 weeks
2525.32046 -4.70064 (252*2π)/3461 weeks
253-14.5274 7.65996 (253*2π)/3461 weeks
254-.67443 4.83593 (254*2π)/3461 weeks
255-28.81557 -5.09021 (255*2π)/3461 weeks
256-32.16489 43.02431 (256*2π)/3461 weeks
25721.91259 42.10122 (257*2π)/3461 weeks
25823.37406 -.29467 (258*2π)/3461 weeks
2597.96479 -10.47022 (259*2π)/3461 weeks
260-13.43349 -29.00316 (260*2π)/3461 weeks
261-59.77522 1.35469 (261*2π)/3461 weeks
262-26.38362 58.68688 (262*2π)/3461 weeks
26321.70108 29.9252 (263*2π)/3461 weeks
2643.97862 7.90083 (264*2π)/3461 weeks
26514.8695 11.45132 (265*2π)/3461 weeks
2665.08148 -26.04958 (266*2π)/3461 weeks
267-44.15259 -7.51112 (267*2π)/3461 weeks
268-21.76078 36.88694 (268*2π)/3461 weeks
26910.29058 18.93666 (269*2π)/3461 weeks
2708.75881 -1.04094 (270*2π)/3461 weeks
271-3.58131 -26.5692 (271*2π)/3461 weeks
272-56.45587 -18.14137 (272*2π)/3461 weeks
273-45.96255 47.29633 (273*2π)/3461 weeks
27412.35795 23.7001 (274*2π)/3461 weeks
275-30.15216 -14.62909 (275*2π)/3461 weeks
276-44.38388 41.07228 (276*2π)/3461 weeks
2779.22607 31.6692 (277*2π)/3461 weeks
278-20.22797 -7.42768 (278*2π)/3461 weeks
279-42.23316 29.89983 (279*2π)/3461 weeks
280-17.08303 36.1924 (280*2π)/3461 weeks
281-26.17182 36.40934 (281*2π)/3461 weeks
282-3.82771 58.58001 (282*2π)/3461 weeks
28321.01777 31.58548 (283*2π)/3461 weeks
2848.87868 19.07376 (284*2π)/3461 weeks
28517.52258 8.55652 (285*2π)/3461 weeks
286-13.97552 -16.54732 (286*2π)/3461 weeks
287-40.48447 26.12363 (287*2π)/3461 weeks
288-.90245 37.28855 (288*2π)/3461 weeks
289-16.4286 16.68277 (289*2π)/3461 weeks
290-5.62731 60.8842 (290*2π)/3461 weeks
29162.3506 15.517 (291*2π)/3461 weeks
292-7.408 -62.95647 (292*2π)/3461 weeks
293-79.94945 11.19309 (293*2π)/3461 weeks
294-21.2931 64.59455 (294*2π)/3461 weeks
29510.08394 35.39379 (295*2π)/3461 weeks
29616.93472 15.33129 (296*2π)/3461 weeks
297-4.26306 -26.89601 (297*2π)/3461 weeks
298-67.49348 .32485 (298*2π)/3461 weeks
299-36.91088 57.30014 (299*2π)/3461 weeks
300-17.37637 26.43315 (300*2π)/3461 weeks
301-44.23621 59.15155 (301*2π)/3461 weeks
30232.67567 71.8791 (302*2π)/3461 weeks
30317.73668 -28.07725 (303*2π)/3461 weeks
304-80.09481 23.77085 (304*2π)/3461 weeks
3052.72404 97.10048 (305*2π)/3461 weeks
30638.63053 -1.16643 (306*2π)/3461 weeks
307-57.50775 -1.21286 (307*2π)/3461 weeks
308-39.27433 71.05942 (308*2π)/3461 weeks
309-2.94427 53.91893 (309*2π)/3461 weeks
310-7.87994 49.79849 (310*2π)/3461 weeks
311-2.81565 36.54164 (311*2π)/3461 weeks
312-30.73662 50.37537 (312*2π)/3461 weeks
31319.06439 81.60146 (313*2π)/3461 weeks
31429.66759 -6.46083 (314*2π)/3461 weeks
315-85.39144 22.61158 (315*2π)/3461 weeks
316-13.87519 135.6526 (316*2π)/3461 weeks
31755.41302 28.45555 (317*2π)/3461 weeks
318-76.85059 34.40863 (318*2π)/3461 weeks
3191.41161 178.3551 (319*2π)/3461 weeks
320129.2083 67.2477 (320*2π)/3461 weeks
32132.54399 -6.10557 (321*2π)/3461 weeks
32238.51438 43.38593 (322*2π)/3461 weeks
32339.73088 -33.2901 (323*2π)/3461 weeks
324-59.9271 -2.04507 (324*2π)/3461 weeks
325-15.50079 60.17723 (325*2π)/3461 weeks
326-27.85766 18.58096 (326*2π)/3461 weeks
327-46.47765 92.90128 (327*2π)/3461 weeks
32840.96341 55.0626 (328*2π)/3461 weeks
329-83.17961 2.16805 (329*2π)/3461 weeks
330-71.78616 199.6138 (330*2π)/3461 weeks
331149.8093 104.4165 (331*2π)/3461 weeks
332-27.51563 -84.5346 (332*2π)/3461 weeks
333-143.6961 128.4843 (333*2π)/3461 weeks
33429.51034 136.413 (334*2π)/3461 weeks
335-99.51651 62.11016 (335*2π)/3461 weeks
336-98.35674 299.841 (336*2π)/3461 weeks
337142.8702 271.9188 (337*2π)/3461 weeks
338134.2122 140.7796 (338*2π)/3461 weeks
339162.9 81.05579 (339*2π)/3461 weeks
340-32.76978 -69.34352 (340*2π)/3461 weeks
341-214.8307 293.1339 (341*2π)/3461 weeks
342257.4862 284.0249 (342*2π)/3461 weeks
343-341.5481 -270.442 (343*2π)/3461 weeks
344-1,191.74 1,289.115 (344*2π)/3461 weeks