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# Fourier Analysis of BCEI (Bonanza Creek Energy)

BCEI (Bonanza Creek Energy) appears to have interesting cyclic behaviour every 33 weeks (202.3257*sine), 28 weeks (144.0599*sine), and 28 weeks (83.6269*cosine).

BCEI (Bonanza Creek Energy) has an average price of 2,216.95 (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 12/15/2011 to 4/16/2018 for BCEI (Bonanza Creek Energy), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
02,216.946   0
1-1,210.289 2,488.208 (1*2π)/332332 weeks
2-134.3957 -618.0051 (2*2π)/332166 weeks
338.36898 414.1604 (3*2π)/332111 weeks
4-30.95862 -34.12757 (4*2π)/33283 weeks
5181.5654 181.6395 (5*2π)/33266 weeks
6-135.7441 171.1838 (6*2π)/33255 weeks
7144.1118 -38.44015 (7*2π)/33247 weeks
8-131.1279 343.5195 (8*2π)/33242 weeks
9-72.10484 -168.1843 (9*2π)/33237 weeks
1075.81367 202.3257 (10*2π)/33233 weeks
11-17.77529 -23.63099 (11*2π)/33230 weeks
12-83.6269 144.0599 (12*2π)/33228 weeks
13-58.01046 -51.47962 (13*2π)/33226 weeks
1425.04731 -8.19593 (14*2π)/33224 weeks
15-42.01723 46.37468 (15*2π)/33222 weeks
1641.7573 -38.91479 (16*2π)/33221 weeks
1722.02045 7.19882 (17*2π)/33220 weeks
1849.77266 65.74427 (18*2π)/33218 weeks
19-73.76463 30.45851 (19*2π)/33217 weeks
2075.54504 -19.5016 (20*2π)/33217 weeks
21-12.80846 79.17502 (21*2π)/33216 weeks
22-11.27356 -6.29927 (22*2π)/33215 weeks
233.29032 27.341 (23*2π)/33214 weeks
246.61409 9.63746 (24*2π)/33214 weeks
259.59469 20.70558 (25*2π)/33213 weeks
2616.0805 39.88936 (26*2π)/33213 weeks
27-39.83191 13.90183 (27*2π)/33212 weeks
2824.81394 -15.97528 (28*2π)/33212 weeks
29-18.36406 63.08675 (29*2π)/33211 weeks
30-9.54914 -59.72668 (30*2π)/33211 weeks
3145.29124 49.35606 (31*2π)/33211 weeks
32-.32871 -2.76061 (32*2π)/33210 weeks
33-7.25101 42.58249 (33*2π)/33210 weeks
34-21.60886 -27.82561 (34*2π)/33210 weeks
3541.89869 11.97413 (35*2π)/3329 weeks
369.64123 25.36301 (36*2π)/3329 weeks
377.29085 3.99562 (37*2π)/3329 weeks
38-10.529 45.11021 (38*2π)/3329 weeks
39-5.21898 -41.44492 (39*2π)/3329 weeks
4031.90132 36.17763 (40*2π)/3328 weeks
41-5.27115 10.32638 (41*2π)/3328 weeks
42.20351 28.09096 (42*2π)/3328 weeks
43-10.18726 -40.80514 (43*2π)/3328 weeks
4446.76342 41.67204 (44*2π)/3328 weeks
45-33.36201 4.89424 (45*2π)/3327 weeks
4648.95456 -5.34433 (46*2π)/3327 weeks
47-28.84714 44.45222 (47*2π)/3327 weeks
4820.05079 -25.52609 (48*2π)/3327 weeks
49-4.10276 35.95605 (49*2π)/3327 weeks
509.95789 -15.08901 (50*2π)/3327 weeks
5112.93626 20.3802 (51*2π)/3327 weeks
5214.57091 12.08525 (52*2π)/3326 weeks
53-22.25089 26.73709 (53*2π)/3326 weeks
544.84972 -15.37001 (54*2π)/3326 weeks
5512.36609 27.67135 (55*2π)/3326 weeks
56-13.97709 -17.34926 (56*2π)/3326 weeks
5720.08884 14.05886 (57*2π)/3326 weeks
58-6.46735 -2.89621 (58*2π)/3326 weeks
5916.5351 2.37108 (59*2π)/3326 weeks
6010.10922 23.03535 (60*2π)/3326 weeks
612.03399 -7.73204 (61*2π)/3325 weeks
623.4556 18.40792 (62*2π)/3325 weeks
631.80832 1.36473 (63*2π)/3325 weeks
641.78579 -1.47347 (64*2π)/3325 weeks
6515.27825 8.45928 (65*2π)/3325 weeks
669.15341 .98087 (66*2π)/3325 weeks
6710.23161 17.8063 (67*2π)/3325 weeks
68-5.79443 1.88389 (68*2π)/3325 weeks
6915.14933 11.6486 (69*2π)/3325 weeks
70-1.20033 6.41741 (70*2π)/3325 weeks
7110.48005 7.5384 (71*2π)/3325 weeks
72-5.68335 .8727 (72*2π)/3325 weeks
7325.98787 3.98337 (73*2π)/3325 weeks
74-15.21993 37.94502 (74*2π)/3324 weeks
75-4.52632 -25.38222 (75*2π)/3324 weeks
7620.08783 8.9581 (76*2π)/3324 weeks
77-6.31997 15.2759 (77*2π)/3324 weeks
789.02076 -8.8085 (78*2π)/3324 weeks
79-3.65136 21.09797 (79*2π)/3324 weeks
805.2828 -6.4732 (80*2π)/3324 weeks
81-5.90899 -2.1297 (81*2π)/3324 weeks
8216.98569 1.40739 (82*2π)/3324 weeks
835.37331 2.00508 (83*2π)/3324 weeks
847.53934 7.33695 (84*2π)/3324 weeks
85-4.4667 9.73979 (85*2π)/3324 weeks
8613.97834 -24.88444 (86*2π)/3324 weeks
8716.91317 33.86874 (87*2π)/3324 weeks
88-5.67878 -7.23549 (88*2π)/3324 weeks
8917.41448 10.95378 (89*2π)/3324 weeks
90-5.9463 15.42047 (90*2π)/3324 weeks
91-4.1047 -6.54609 (91*2π)/3324 weeks
92-1.35823 3.18868 (92*2π)/3324 weeks
9314.33029 -17.75282 (93*2π)/3324 weeks
9419.10814 21.10374 (94*2π)/3324 weeks
95-6.67098 6.87435 (95*2π)/3323 weeks
964.8965 -4.2888 (96*2π)/3323 weeks
976.31897 1.36628 (97*2π)/3323 weeks
986.15229 12.35604 (98*2π)/3323 weeks
99-1.4488 -9.33462 (99*2π)/3323 weeks
1007.59753 6.32492 (100*2π)/3323 weeks
10110.35619 -5.83068 (101*2π)/3323 weeks
1026.51887 7.5564 (102*2π)/3323 weeks
10310.45729 -9.50867 (103*2π)/3323 weeks
10415.52723 13.14255 (104*2π)/3323 weeks
105.76628 10.39111 (105*2π)/3323 weeks
1069.15886 -1.9822 (106*2π)/3323 weeks
10713.36897 4.90455 (107*2π)/3323 weeks
1084.14173 17.02206 (108*2π)/3323 weeks
109-2.19097 -7.23229 (109*2π)/3323 weeks
11016.03308 14.43045 (110*2π)/3323 weeks
111-3.15798 9.86959 (111*2π)/3323 weeks
112-1.04702 -6.14137 (112*2π)/3323 weeks
11318.92801 5.3949 (113*2π)/3323 weeks
114-6.03179 8.5814 (114*2π)/3323 weeks
11511.29937 4.63199 (115*2π)/3323 weeks
116-6.0965 7.3852 (116*2π)/3323 weeks
11716.06058 -3.34811 (117*2π)/3323 weeks
118-1.62045 17.77653 (118*2π)/3323 weeks
119-12.15302 -5.04396 (119*2π)/3323 weeks
12014.77905 -7.61025 (120*2π)/3323 weeks
12110.77298 17.13374 (121*2π)/3323 weeks
122-7.31204 .68781 (122*2π)/3323 weeks
1236.19567 -.8167 (123*2π)/3323 weeks
124-.91041 4.3881 (124*2π)/3323 weeks
125.32128 -1.30576 (125*2π)/3323 weeks
1265.08801 -.48805 (126*2π)/3323 weeks
1276.13921 -2.26513 (127*2π)/3323 weeks
1285.05011 -3.60755 (128*2π)/3323 weeks
1299.79516 -1.79844 (129*2π)/3323 weeks
13011.42618 11.52476 (130*2π)/3323 weeks
131-5.84786 -1.0356 (131*2π)/3323 weeks
13225.2058 -.42693 (132*2π)/3323 weeks
133-9.55071 13.77151 (133*2π)/3322 weeks
13411.52709 -7.57066 (134*2π)/3322 weeks
1354.25825 14.83216 (135*2π)/3322 weeks
136-7.36181 .43546 (136*2π)/3322 weeks
13710.87027 -5.24423 (137*2π)/3322 weeks
1384.47041 -3.0341 (138*2π)/3322 weeks
13916.67937 11.09093 (139*2π)/3322 weeks
140-7.29798 7.69456 (140*2π)/3322 weeks
1413.42201 -2.97294 (141*2π)/3322 weeks
1426.76152 4.74336 (142*2π)/3322 weeks
143-3.53193 -9.42916 (143*2π)/3322 weeks
14424.98195 7.76151 (144*2π)/3322 weeks
1451.26365 9.99374 (145*2π)/3322 weeks
146-1.69256 13.35246 (146*2π)/3322 weeks
147-5.82564 -1.15566 (147*2π)/3322 weeks
148-2.01441 -4.09923 (148*2π)/3322 weeks
1498.00548 -2.22178 (149*2π)/3322 weeks
1507.51496 6.59518 (150*2π)/3322 weeks
151-8.21541 .91284 (151*2π)/3322 weeks
1529.1607 -3.88749 (152*2π)/3322 weeks
153-1.69196 5.39767 (153*2π)/3322 weeks
154-3.38637 -5.13353 (154*2π)/3322 weeks
1557.06429 -6.55492 (155*2π)/3322 weeks
15612.28516 -5.82232 (156*2π)/3322 weeks
1572.79008 9.25508 (157*2π)/3322 weeks
1584.6865 -7.69821 (158*2π)/3322 weeks
1598.6273 2.49856 (159*2π)/3322 weeks
16011.16922 4.61708 (160*2π)/3322 weeks
161-3.18872 4.51947 (161*2π)/3322 weeks
16210.10698 -4.28722 (162*2π)/3322 weeks
1638.15845 9.61426 (163*2π)/3322 weeks
164-4.7266 9.08433 (164*2π)/3322 weeks
165-4.89188 -3.99416 (165*2π)/3322 weeks
1668.10831   (166*2π)/3322 weeks
167-4.89188 3.99416 (167*2π)/3322 weeks
168-4.7266 -9.08433 (168*2π)/3322 weeks
1698.15845 -9.61426 (169*2π)/3322 weeks
17010.10698 4.28722 (170*2π)/3322 weeks
171-3.18872 -4.51947 (171*2π)/3322 weeks
17211.16922 -4.61708 (172*2π)/3322 weeks
1738.6273 -2.49856 (173*2π)/3322 weeks
1744.6865 7.69821 (174*2π)/3322 weeks
1752.79008 -9.25508 (175*2π)/3322 weeks
17612.28516 5.82232 (176*2π)/3322 weeks
1777.06429 6.55492 (177*2π)/3322 weeks
178-3.38637 5.13353 (178*2π)/3322 weeks
179-1.69196 -5.39767 (179*2π)/3322 weeks
1809.1607 3.88749 (180*2π)/3322 weeks
181-8.21541 -.91284 (181*2π)/3322 weeks
1827.51496 -6.59518 (182*2π)/3322 weeks
1838.00548 2.22178 (183*2π)/3322 weeks
184-2.01441 4.09923 (184*2π)/3322 weeks
185-5.82564 1.15566 (185*2π)/3322 weeks
186-1.69256 -13.35246 (186*2π)/3322 weeks
1871.26365 -9.99374 (187*2π)/3322 weeks
18824.98195 -7.76151 (188*2π)/3322 weeks
189-3.53193 9.42916 (189*2π)/3322 weeks
1906.76152 -4.74336 (190*2π)/3322 weeks
1913.42201 2.97294 (191*2π)/3322 weeks
192-7.29798 -7.69456 (192*2π)/3322 weeks
19316.67937 -11.09093 (193*2π)/3322 weeks
1944.47041 3.0341 (194*2π)/3322 weeks
19510.87027 5.24423 (195*2π)/3322 weeks
196-7.36181 -.43546 (196*2π)/3322 weeks
1974.25825 -14.83216 (197*2π)/3322 weeks
19811.52709 7.57066 (198*2π)/3322 weeks
199-9.55071 -13.77151 (199*2π)/3322 weeks
20025.2058 .42693 (200*2π)/3322 weeks
201-5.84786 1.0356 (201*2π)/3322 weeks
20211.42618 -11.52476 (202*2π)/3322 weeks
2039.79516 1.79844 (203*2π)/3322 weeks
2045.05011 3.60755 (204*2π)/3322 weeks
2056.13921 2.26513 (205*2π)/3322 weeks
2065.08801 .48805 (206*2π)/3322 weeks
207.32128 1.30576 (207*2π)/3322 weeks
208-.91041 -4.3881 (208*2π)/3322 weeks
2096.19567 .8167 (209*2π)/3322 weeks
210-7.31204 -.68781 (210*2π)/3322 weeks
21110.77298 -17.13374 (211*2π)/3322 weeks
21214.77905 7.61025 (212*2π)/3322 weeks
213-12.15302 5.04396 (213*2π)/3322 weeks
214-1.62045 -17.77653 (214*2π)/3322 weeks
21516.06058 3.34811 (215*2π)/3322 weeks
216-6.0965 -7.3852 (216*2π)/3322 weeks
21711.29937 -4.63199 (217*2π)/3322 weeks
218-6.03179 -8.5814 (218*2π)/3322 weeks
21918.92801 -5.3949 (219*2π)/3322 weeks
220-1.04702 6.14137 (220*2π)/3322 weeks
221-3.15798 -9.86959 (221*2π)/3322 weeks
22216.03308 -14.43045 (222*2π)/3321 weeks
223-2.19097 7.23229 (223*2π)/3321 weeks
2244.14173 -17.02206 (224*2π)/3321 weeks
22513.36897 -4.90455 (225*2π)/3321 weeks
2269.15886 1.9822 (226*2π)/3321 weeks
227.76628 -10.39111 (227*2π)/3321 weeks
22815.52723 -13.14255 (228*2π)/3321 weeks
22910.45729 9.50867 (229*2π)/3321 weeks
2306.51887 -7.5564 (230*2π)/3321 weeks
23110.35619 5.83068 (231*2π)/3321 weeks
2327.59753 -6.32492 (232*2π)/3321 weeks
233-1.4488 9.33462 (233*2π)/3321 weeks
2346.15229 -12.35604 (234*2π)/3321 weeks
2356.31897 -1.36628 (235*2π)/3321 weeks
2364.8965 4.2888 (236*2π)/3321 weeks
237-6.67098 -6.87435 (237*2π)/3321 weeks
23819.10814 -21.10374 (238*2π)/3321 weeks
23914.33029 17.75282 (239*2π)/3321 weeks
240-1.35823 -3.18868 (240*2π)/3321 weeks
241-4.1047 6.54609 (241*2π)/3321 weeks
242-5.9463 -15.42047 (242*2π)/3321 weeks
24317.41448 -10.95378 (243*2π)/3321 weeks
244-5.67878 7.23549 (244*2π)/3321 weeks
24516.91317 -33.86874 (245*2π)/3321 weeks
24613.97834 24.88444 (246*2π)/3321 weeks
247-4.4667 -9.73979 (247*2π)/3321 weeks
2487.53934 -7.33695 (248*2π)/3321 weeks
2495.37331 -2.00508 (249*2π)/3321 weeks
25016.98569 -1.40739 (250*2π)/3321 weeks
251-5.90899 2.1297 (251*2π)/3321 weeks
2525.2828 6.4732 (252*2π)/3321 weeks
253-3.65136 -21.09797 (253*2π)/3321 weeks
2549.02076 8.8085 (254*2π)/3321 weeks
255-6.31997 -15.2759 (255*2π)/3321 weeks
25620.08783 -8.9581 (256*2π)/3321 weeks
257-4.52632 25.38222 (257*2π)/3321 weeks
258-15.21993 -37.94502 (258*2π)/3321 weeks
25925.98787 -3.98337 (259*2π)/3321 weeks
260-5.68335 -.8727 (260*2π)/3321 weeks
26110.48005 -7.5384 (261*2π)/3321 weeks
262-1.20033 -6.41741 (262*2π)/3321 weeks
26315.14933 -11.6486 (263*2π)/3321 weeks
264-5.79443 -1.88389 (264*2π)/3321 weeks
26510.23161 -17.8063 (265*2π)/3321 weeks
2669.15341 -.98087 (266*2π)/3321 weeks
26715.27825 -8.45928 (267*2π)/3321 weeks
2681.78579 1.47347 (268*2π)/3321 weeks
2691.80832 -1.36473 (269*2π)/3321 weeks
2703.4556 -18.40792 (270*2π)/3321 weeks
2712.03399 7.73204 (271*2π)/3321 weeks
27210.10922 -23.03535 (272*2π)/3321 weeks
27316.5351 -2.37108 (273*2π)/3321 weeks
274-6.46735 2.89621 (274*2π)/3321 weeks
27520.08884 -14.05886 (275*2π)/3321 weeks
276-13.97709 17.34926 (276*2π)/3321 weeks
27712.36609 -27.67135 (277*2π)/3321 weeks
2784.84972 15.37001 (278*2π)/3321 weeks
279-22.25089 -26.73709 (279*2π)/3321 weeks
28014.57091 -12.08525 (280*2π)/3321 weeks
28112.93626 -20.3802 (281*2π)/3321 weeks
2829.95789 15.08901 (282*2π)/3321 weeks
283-4.10276 -35.95605 (283*2π)/3321 weeks
28420.05079 25.52609 (284*2π)/3321 weeks
285-28.84714 -44.45222 (285*2π)/3321 weeks
28648.95456 5.34433 (286*2π)/3321 weeks
287-33.36201 -4.89424 (287*2π)/3321 weeks
28846.76342 -41.67204 (288*2π)/3321 weeks
289-10.18726 40.80514 (289*2π)/3321 weeks
290.20351 -28.09096 (290*2π)/3321 weeks
291-5.27115 -10.32638 (291*2π)/3321 weeks
29231.90132 -36.17763 (292*2π)/3321 weeks
293-5.21898 41.44492 (293*2π)/3321 weeks
294-10.529 -45.11021 (294*2π)/3321 weeks
2957.29085 -3.99562 (295*2π)/3321 weeks
2969.64123 -25.36301 (296*2π)/3321 weeks
29741.89869 -11.97413 (297*2π)/3321 weeks
298-21.60886 27.82561 (298*2π)/3321 weeks
299-7.25101 -42.58249 (299*2π)/3321 weeks
300-.32871 2.76061 (300*2π)/3321 weeks
30145.29124 -49.35606 (301*2π)/3321 weeks
302-9.54914 59.72668 (302*2π)/3321 weeks
303-18.36406 -63.08675 (303*2π)/3321 weeks
30424.81394 15.97528 (304*2π)/3321 weeks
305-39.83191 -13.90183 (305*2π)/3321 weeks
30616.0805 -39.88936 (306*2π)/3321 weeks
3079.59469 -20.70558 (307*2π)/3321 weeks
3086.61409 -9.63746 (308*2π)/3321 weeks
3093.29032 -27.341 (309*2π)/3321 weeks
310-11.27356 6.29927 (310*2π)/3321 weeks
311-12.80846 -79.17502 (311*2π)/3321 weeks
31275.54504 19.5016 (312*2π)/3321 weeks
313-73.76463 -30.45851 (313*2π)/3321 weeks
31449.77266 -65.74427 (314*2π)/3321 weeks
31522.02045 -7.19882 (315*2π)/3321 weeks
31641.7573 38.91479 (316*2π)/3321 weeks
317-42.01723 -46.37468 (317*2π)/3321 weeks
31825.04731 8.19593 (318*2π)/3321 weeks
319-58.01046 51.47962 (319*2π)/3321 weeks
320-83.6269 -144.0599 (320*2π)/3321 weeks
321-17.77529 23.63099 (321*2π)/3321 weeks
32275.81367 -202.3257 (322*2π)/3321 weeks
323-72.10484 168.1843 (323*2π)/3321 weeks
324-131.1279 -343.5195 (324*2π)/3321 weeks
325144.1118 38.44015 (325*2π)/3321 weeks
326-135.7441 -171.1838 (326*2π)/3321 weeks
327181.5654 -181.6395 (327*2π)/3321 weeks
328-30.95862 34.12757 (328*2π)/3321 weeks
32938.36898 -414.1604 (329*2π)/3321 weeks
330-134.3957 618.0051 (330*2π)/3321 weeks