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Fourier Analysis of EPM (Evolution Petroleum Corporation)


EPM (Evolution Petroleum Corporation) appears to have interesting cyclic behaviour every 104 weeks (129.5893*sine), 95 weeks (113.3002*sine), and 33 weeks (46.5611*cosine).

EPM (Evolution Petroleum Corporation) has an average price of 268.7 (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 1/13/1997 to 1/9/2017 for EPM (Evolution Petroleum Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0268.7032   0 
1448.2644 189.4531 (1*2π)/10431,043 weeks
2287.5456 248.7947 (2*2π)/1043522 weeks
3198.6443 202.1881 (3*2π)/1043348 weeks
4200.4905 174.3859 (4*2π)/1043261 weeks
5200.0219 212.1159 (5*2π)/1043209 weeks
6144.055 256.2833 (6*2π)/1043174 weeks
765.85737 251.5703 (7*2π)/1043149 weeks
812.25468 210.6384 (8*2π)/1043130 weeks
9-8.08863 164.5782 (9*2π)/1043116 weeks
10-7.15347 129.5893 (10*2π)/1043104 weeks
112.94843 113.3002 (11*2π)/104395 weeks
125.08927 111.0927 (12*2π)/104387 weeks
13-6.26215 106.7648 (13*2π)/104380 weeks
14-15.26614 88.15566 (14*2π)/104375 weeks
15-8.55395 69.74088 (15*2π)/104370 weeks
163.77284 66.40682 (16*2π)/104365 weeks
175.72236 70.9062 (17*2π)/104361 weeks
181.43571 71.10681 (18*2π)/104358 weeks
19-.8029 69.81727 (19*2π)/104355 weeks
20-6.21031 72.20211 (20*2π)/104352 weeks
21-19.2708 69.4926 (21*2π)/104350 weeks
22-31.75726 55.48753 (22*2π)/104347 weeks
23-33.49749 35.8586 (23*2π)/104345 weeks
24-26.0103 19.01786 (24*2π)/104343 weeks
25-12.94076 7.47637 (25*2π)/104342 weeks
264.54113 4.6352 (26*2π)/104340 weeks
2716.99855 14.12205 (27*2π)/104339 weeks
2814.60813 24.81228 (28*2π)/104337 weeks
296.61588 20.78665 (29*2π)/104336 weeks
3013.23059 8.11646 (30*2π)/104335 weeks
3134.05696 8.90598 (31*2π)/104334 weeks
3246.56114 30.01147 (32*2π)/104333 weeks
3337.23466 52.78554 (33*2π)/104332 weeks
3416.26271 59.43961 (34*2π)/104331 weeks
351.15437 50.58488 (35*2π)/104330 weeks
36-.81977 37.52431 (36*2π)/104329 weeks
377.57784 32.55303 (37*2π)/104328 weeks
3813.78859 41.66342 (38*2π)/104327 weeks
393.45367 55.97072 (39*2π)/104327 weeks
40-21.15622 54.01665 (40*2π)/104326 weeks
41-36.07273 29.2965 (41*2π)/104325 weeks
42-24.77274 3.17375 (42*2π)/104325 weeks
43-2.02582 -.52639 (43*2π)/104324 weeks
446.56074 12.30503 (44*2π)/104324 weeks
45-1.38333 17.72565 (45*2π)/104323 weeks
46-6.60476 8.16388 (46*2π)/104323 weeks
472.19018 -2.93551 (47*2π)/104322 weeks
4818.04468 -2.21834 (48*2π)/104322 weeks
4927.80214 10.34858 (49*2π)/104321 weeks
5024.88436 25.26847 (50*2π)/104321 weeks
5112.55702 31.3195 (51*2π)/104320 weeks
522.93686 25.04752 (52*2π)/104320 weeks
535.34661 16.8236 (53*2π)/104320 weeks
5412.40826 19.5515 (54*2π)/104319 weeks
558.62009 29.0501 (55*2π)/104319 weeks
56-5.26318 28.02979 (56*2π)/104319 weeks
57-10.97117 13.07683 (57*2π)/104318 weeks
58-.71496 1.62363 (58*2π)/104318 weeks
5910.8849 5.40068 (59*2π)/104318 weeks
6010.20426 13.60066 (60*2π)/104317 weeks
613.55376 11.80934 (61*2π)/104317 weeks
625.27403 2.68946 (62*2π)/104317 weeks
6316.56337 -.71156 (63*2π)/104317 weeks
6427.05767 7.00042 (64*2π)/104316 weeks
6528.46947 19.99822 (65*2π)/104316 weeks
6620.56824 29.36715 (66*2π)/104316 weeks
6710.2716 29.47733 (67*2π)/104316 weeks
686.39396 23.42114 (68*2π)/104315 weeks
6910.07641 21.22714 (69*2π)/104315 weeks
7011.30471 27.49809 (70*2π)/104315 weeks
712.16912 33.10113 (71*2π)/104315 weeks
72-9.89005 27.06562 (72*2π)/104314 weeks
73-11.78831 13.60767 (73*2π)/104314 weeks
74-3.54075 6.06502 (74*2π)/104314 weeks
753.61524 8.11013 (75*2π)/104314 weeks
764.03577 12.02327 (76*2π)/104314 weeks
771.70853 12.29259 (77*2π)/104314 weeks
78.66395 10.16183 (78*2π)/104313 weeks
791.45935 7.44351 (79*2π)/104313 weeks
804.71831 5.20568 (80*2π)/104313 weeks
819.65231 6.8026 (81*2π)/104313 weeks
8210.87448 13.29051 (82*2π)/104313 weeks
834.46348 18.14672 (83*2π)/104313 weeks
84-4.04802 14.33757 (84*2π)/104312 weeks
85-5.56704 4.76204 (85*2π)/104312 weeks
86.79755 -1.53991 (86*2π)/104312 weeks
877.65334 -.38723 (87*2π)/104312 weeks
888.8941 3.88371 (88*2π)/104312 weeks
895.76057 4.38091 (89*2π)/104312 weeks
904.56636 -.67643 (90*2π)/104312 weeks
9110.25873 -6.40224 (91*2π)/104311 weeks
9220.30824 -5.22175 (92*2π)/104311 weeks
9325.69916 3.80707 (93*2π)/104311 weeks
9421.72246 11.94954 (94*2π)/104311 weeks
9515.20156 11.24289 (95*2π)/104311 weeks
9616.15176 5.74166 (96*2π)/104311 weeks
9723.84523 6.20391 (97*2π)/104311 weeks
9827.8756 15.05357 (98*2π)/104311 weeks
9922.74383 23.90219 (99*2π)/104311 weeks
10013.775 25.0878 (100*2π)/104310 weeks
1019.34329 20.07934 (101*2π)/104310 weeks
10211.37274 16.07015 (102*2π)/104310 weeks
10315.0482 17.93122 (103*2π)/104310 weeks
10413.86599 23.49045 (104*2π)/104310 weeks
1057.01633 25.59807 (105*2π)/104310 weeks
1061.50568 20.21084 (106*2π)/104310 weeks
1074.32711 13.52468 (107*2π)/104310 weeks
10811.41723 15.04486 (108*2π)/104310 weeks
10911.34801 23.71012 (109*2π)/104310 weeks
1101.6571 27.47197 (110*2π)/10439 weeks
111-6.71163 20.22084 (111*2π)/10439 weeks
112-4.56763 10.40927 (112*2π)/10439 weeks
1133.31878 8.80608 (113*2π)/10439 weeks
1145.95185 14.54319 (114*2π)/10439 weeks
115.79674 18.15162 (115*2π)/10439 weeks
116-5.3328 14.18173 (116*2π)/10439 weeks
117-5.26748 6.04033 (117*2π)/10439 weeks
1181.81175 .97577 (118*2π)/10439 weeks
11910.06247 4.11826 (119*2π)/10439 weeks
12011.54161 12.76671 (120*2π)/10439 weeks
1214.49266 17.91157 (121*2π)/10439 weeks
122-3.07735 13.7751 (122*2π)/10439 weeks
123-2.5976 5.69506 (123*2π)/10438 weeks
1243.96631 3.17571 (124*2π)/10438 weeks
1257.58479 7.19183 (125*2π)/10438 weeks
1265.29101 10.43382 (126*2π)/10438 weeks
1272.50232 8.8049 (127*2π)/10438 weeks
1283.44517 5.90789 (128*2π)/10438 weeks
1296.21093 5.74574 (129*2π)/10438 weeks
1307.39631 7.67797 (130*2π)/10438 weeks
1316.49424 9.26022 (131*2π)/10438 weeks
1324.76422 9.20058 (132*2π)/10438 weeks
1333.78828 7.19915 (133*2π)/10438 weeks
1345.60777 4.50413 (134*2π)/10438 weeks
13510.11383 4.75626 (135*2π)/10438 weeks
13612.7872 9.65248 (136*2π)/10438 weeks
1379.77136 14.83915 (137*2π)/10438 weeks
1383.9648 14.86294 (138*2π)/10438 weeks
1391.80237 10.44075 (139*2π)/10438 weeks
1404.71073 7.8613 (140*2π)/10437 weeks
1417.50624 10.67444 (141*2π)/10437 weeks
1424.87426 15.04384 (142*2π)/10437 weeks
143-1.86568 14.76047 (143*2π)/10437 weeks
144-6.23896 8.08323 (144*2π)/10437 weeks
145-3.34771 -.14749 (145*2π)/10437 weeks
1464.95148 -2.68063 (146*2π)/10437 weeks
14710.83543 2.50615 (147*2π)/10437 weeks
1488.91694 9.02824 (148*2π)/10437 weeks
1492.57797 8.88558 (149*2π)/10437 weeks
150.84297 2.09181 (150*2π)/10437 weeks
1517.46247 -3.05927 (151*2π)/10437 weeks
15216.21657 .54083 (152*2π)/10437 weeks
15318.10196 10.0605 (153*2π)/10437 weeks
15411.73329 16.56877 (154*2π)/10437 weeks
1554.06301 14.98354 (155*2π)/10437 weeks
1562.34927 9.09487 (156*2π)/10437 weeks
1576.23683 6.46212 (157*2π)/10437 weeks
1589.0208 9.54346 (158*2π)/10437 weeks
1596.38039 13.23521 (159*2π)/10437 weeks
1601.57876 11.98695 (160*2π)/10437 weeks
161.71933 7.22237 (161*2π)/10436 weeks
1624.09414 4.98081 (162*2π)/10436 weeks
1636.33049 7.09622 (163*2π)/10436 weeks
1644.43055 8.98432 (164*2π)/10436 weeks
1651.94896 7.01401 (165*2π)/10436 weeks
1663.00769 3.35201 (166*2π)/10436 weeks
1676.84263 2.25253 (167*2π)/10436 weeks
1689.83559 4.45557 (168*2π)/10436 weeks
16910.11939 7.55798 (169*2π)/10436 weeks
1708.51593 9.38442 (170*2π)/10436 weeks
1716.80187 9.33592 (171*2π)/10436 weeks
1726.4712 8.34038 (172*2π)/10436 weeks
1737.47179 8.33106 (173*2π)/10436 weeks
1747.53312 10.14391 (174*2π)/10436 weeks
1755.08166 11.27802 (175*2π)/10436 weeks
1762.58988 9.12902 (176*2π)/10436 weeks
1773.65584 5.68594 (177*2π)/10436 weeks
1787.34753 5.42541 (178*2π)/10436 weeks
1798.91781 8.65517 (179*2π)/10436 weeks
1806.74621 11.0635 (180*2π)/10436 weeks
1814.21784 10.17257 (181*2π)/10436 weeks
1824.21974 8.14113 (182*2π)/10436 weeks
1835.78341 7.59148 (183*2π)/10436 weeks
1846.99212 8.57891 (184*2π)/10436 weeks
1857.33656 10.34827 (185*2π)/10436 weeks
1866.21256 12.58379 (186*2π)/10436 weeks
1873.20315 13.73671 (187*2π)/10436 weeks
188-.01067 12.03428 (188*2π)/10436 weeks
189-.53678 8.77281 (189*2π)/10436 weeks
1901.31398 7.3267 (190*2π)/10435 weeks
1912.18768 8.46068 (191*2π)/10435 weeks
192.57712 9.20277 (192*2π)/10435 weeks
193-1.37702 7.55902 (193*2π)/10435 weeks
194-1.37211 4.72263 (194*2π)/10435 weeks
195.4093 2.70497 (195*2π)/10435 weeks
1962.73324 2.15001 (196*2π)/10435 weeks
1974.74019 3.03277 (197*2π)/10435 weeks
1985.39614 4.93555 (198*2π)/10435 weeks
1994.1323 6.04301 (199*2π)/10435 weeks
2002.83479 4.84154 (200*2π)/10435 weeks
2014.08007 2.60322 (201*2π)/10435 weeks
2027.5755 2.67622 (202*2π)/10435 weeks
2039.94871 6.03974 (203*2π)/10435 weeks
2049.03435 10.15948 (204*2π)/10435 weeks
2055.85126 12.39727 (205*2π)/10435 weeks
2062.68046 12.47717 (206*2π)/10435 weeks
207.27026 11.56842 (207*2π)/10435 weeks
208-1.76015 10.03423 (208*2π)/10435 weeks
209-3.07607 7.61592 (209*2π)/10435 weeks
210-2.75951 4.86838 (210*2π)/10435 weeks
211-.94643 3.45694 (211*2π)/10435 weeks
212.44401 4.14589 (212*2π)/10435 weeks
213-.47917 5.31289 (213*2π)/10435 weeks
214-2.82857 4.25994 (214*2π)/10435 weeks
215-3.31312 .69354 (215*2π)/10435 weeks
216-.3013 -1.98736 (216*2π)/10435 weeks
2173.30458 -.73133 (217*2π)/10435 weeks
2183.24535 2.82885 (218*2π)/10435 weeks
219-.518 3.77787 (219*2π)/10435 weeks
220-3.51161 .12402 (220*2π)/10435 weeks
221-2.01825 -4.93385 (221*2π)/10435 weeks
2222.766 -6.80042 (222*2π)/10435 weeks
2236.44689 -4.40061 (223*2π)/10435 weeks
2245.90036 -.92572 (224*2π)/10435 weeks
2252.36783 -.72101 (225*2π)/10435 weeks
226.33803 -4.9118 (226*2π)/10435 weeks
2273.05856 -10.07237 (227*2π)/10435 weeks
2289.04656 -11.67398 (228*2π)/10435 weeks
22913.7142 -9.07809 (229*2π)/10435 weeks
23014.80274 -5.82882 (230*2π)/10435 weeks
23114.49231 -4.9678 (231*2π)/10435 weeks
23215.83377 -5.69085 (232*2π)/10434 weeks
23319.1086 -5.40656 (233*2π)/10434 weeks
23422.76206 -2.93311 (234*2π)/10434 weeks
23525.23279 1.60433 (235*2π)/10434 weeks
23625.09347 7.35076 (236*2π)/10434 weeks
23721.67668 11.8828 (237*2π)/10434 weeks
23817.17513 12.70238 (238*2π)/10434 weeks
23915.41549 10.83661 (239*2π)/10434 weeks
24016.83189 10.49153 (240*2π)/10434 weeks
24117.59029 13.57083 (241*2π)/10434 weeks
24214.69552 16.96303 (242*2π)/10434 weeks
24310.17131 17.03415 (243*2π)/10434 weeks
2447.64528 14.41725 (244*2π)/10434 weeks
2457.818 12.10406 (245*2π)/10434 weeks
2468.76003 11.46901 (246*2π)/10434 weeks
2479.20141 11.7409 (247*2π)/10434 weeks
2489.22682 11.99764 (248*2π)/10434 weeks
2499.31532 12.20587 (249*2π)/10434 weeks
2509.76226 12.71894 (250*2π)/10434 weeks
25110.12974 14.2657 (251*2π)/10434 weeks
2529.04051 16.68428 (252*2π)/10434 weeks
2535.84893 18.01523 (253*2π)/10434 weeks
2542.63171 16.5558 (254*2π)/10434 weeks
2552.00306 13.8885 (255*2π)/10434 weeks
2563.26972 13.28313 (256*2π)/10434 weeks
2572.9255 14.80483 (257*2π)/10434 weeks
258-.12171 14.97742 (258*2π)/10434 weeks
259-2.49047 11.6288 (259*2π)/10434 weeks
260-.76861 7.42608 (260*2π)/10434 weeks
2613.82059 6.76333 (261*2π)/10434 weeks
2626.64685 10.50888 (262*2π)/10434 weeks
2634.76941 15.00105 (263*2π)/10434 weeks
264.00861 15.9029 (264*2π)/10434 weeks
265-2.98585 12.86104 (265*2π)/10434 weeks
266-2.02002 9.82451 (266*2π)/10434 weeks
267.1918 10.46728 (267*2π)/10434 weeks
268-.90145 13.49144 (268*2π)/10434 weeks
269-5.81325 14.08524 (269*2π)/10434 weeks
270-10.26351 9.70201 (270*2π)/10434 weeks
271-10.15041 3.20686 (271*2π)/10434 weeks
272-5.99457 -.94832 (272*2π)/10434 weeks
273-1.49046 -1.07677 (273*2π)/10434 weeks
274.51046 .85439 (274*2π)/10434 weeks
275.04925 1.81498 (275*2π)/10434 weeks
276-.34675 .38279 (276*2π)/10434 weeks
2771.79704 -1.85263 (277*2π)/10434 weeks
2786.19516 -1.57769 (278*2π)/10434 weeks
2799.22371 2.35936 (279*2π)/10434 weeks
2808.13033 7.03261 (280*2π)/10434 weeks
2814.53804 8.47586 (281*2π)/10434 weeks
2822.60226 6.7509 (282*2π)/10434 weeks
2833.72514 5.48356 (283*2π)/10434 weeks
2845.22632 6.99685 (284*2π)/10434 weeks
2854.30377 9.86995 (285*2π)/10434 weeks
286.89235 11.22611 (286*2π)/10434 weeks
287-2.6786 9.6535 (287*2π)/10434 weeks
288-4.00928 6.23837 (288*2π)/10434 weeks
289-2.72865 3.60067 (289*2π)/10434 weeks
290-1.02801 3.4252 (290*2π)/10434 weeks
291-1.44552 4.34461 (291*2π)/10434 weeks
292-3.45225 3.22334 (292*2π)/10434 weeks
293-3.7336 -.40394 (293*2π)/10434 weeks
294-.68548 -3.26387 (294*2π)/10434 weeks
2952.96105 -2.81732 (295*2π)/10434 weeks
2964.13763 -.87332 (296*2π)/10434 weeks
2973.75348 -.61629 (297*2π)/10434 weeks
2984.89308 -1.7952 (298*2π)/10434 weeks
2997.92546 -1.41166 (299*2π)/10433 weeks
3009.90426 1.63266 (300*2π)/10433 weeks
3018.90803 4.81995 (301*2π)/10433 weeks
3026.58256 5.51749 (302*2π)/10433 weeks
3035.96797 4.1206 (303*2π)/10433 weeks
3047.9915 3.71029 (304*2π)/10433 weeks
30510.06747 6.55271 (305*2π)/10433 weeks
3068.67883 11.15126 (306*2π)/10433 weeks
3073.53189 13.22558 (307*2π)/10433 weeks
308-1.20237 10.44876 (308*2π)/10433 weeks
309-1.37385 5.66275 (309*2π)/10433 weeks
3102.05476 4.0796 (310*2π)/10433 weeks
3113.98652 6.85473 (311*2π)/10433 weeks
3121.43543 9.74683 (312*2π)/10433 weeks
313-2.90277 8.48167 (313*2π)/10433 weeks
314-4.15555 3.92223 (314*2π)/10433 weeks
315-1.11619 .69442 (315*2π)/10433 weeks
3162.60617 1.84144 (316*2π)/10433 weeks
3172.69328 5.5141 (317*2π)/10433 weeks
318-1.15956 6.92596 (318*2π)/10433 weeks
319-4.80871 3.59884 (319*2π)/10433 weeks
320-3.8948 -1.91586 (320*2π)/10433 weeks
3211.23948 -4.42379 (321*2π)/10433 weeks
3225.84668 -1.93006 (322*2π)/10433 weeks
3236.21622 2.36884 (323*2π)/10433 weeks
3243.52062 4.18952 (324*2π)/10433 weeks
3251.59451 2.77026 (325*2π)/10433 weeks
3262.41198 1.0049 (326*2π)/10433 weeks
3274.28285 1.41634 (327*2π)/10433 weeks
3284.59552 3.4453 (328*2π)/10433 weeks
3292.8762 4.73716 (329*2π)/10433 weeks
330.86223 4.02063 (330*2π)/10433 weeks
331.33259 2.27508 (331*2π)/10433 weeks
332.95719 1.30178 (332*2π)/10433 weeks
3331.09838 1.21303 (333*2π)/10433 weeks
334.45364 .43873 (334*2π)/10433 weeks
335.61426 -1.60631 (335*2π)/10433 weeks
3362.79321 -3.30114 (336*2π)/10433 weeks
3375.66819 -2.71071 (337*2π)/10433 weeks
3386.68527 -.36085 (338*2π)/10433 weeks
3395.26087 1.05033 (339*2π)/10433 weeks
3403.63998 -.33515 (340*2π)/10433 weeks
3414.70337 -3.28456 (341*2π)/10433 weeks
3428.94964 -4.49063 (342*2π)/10433 weeks
34313.4415 -1.53165 (343*2π)/10433 weeks
34414.21208 4.10358 (344*2π)/10433 weeks
34510.62787 7.87049 (345*2π)/10433 weeks
3466.70119 7.01998 (346*2π)/10433 weeks
3476.74174 4.14564 (347*2π)/10433 weeks
3489.99267 4.42869 (348*2π)/10433 weeks
34911.19145 8.98563 (349*2π)/10433 weeks
3507.28223 13.41282 (350*2π)/10433 weeks
351.95253 13.12094 (351*2π)/10433 weeks
352-2.75369 8.34081 (352*2π)/10433 weeks
353-1.62099 3.24919 (353*2π)/10433 weeks
3542.26925 1.56084 (354*2π)/10433 weeks
3555.07378 3.66441 (355*2π)/10433 weeks
3564.37842 6.78766 (356*2π)/10433 weeks
3571.06758 7.5355 (357*2π)/10433 weeks
358-1.38939 4.93466 (358*2π)/10433 weeks
359-.62866 1.54998 (359*2π)/10433 weeks
3602.0561 .44875 (360*2π)/10433 weeks
3613.81972 1.57204 (361*2π)/10433 weeks
3623.8872 2.77463 (362*2π)/10433 weeks
3633.54152 3.17771 (363*2π)/10433 weeks
3643.30502 3.49363 (364*2π)/10433 weeks
3652.48173 3.80099 (365*2π)/10433 weeks
3661.1838 2.99982 (366*2π)/10433 weeks
367.92961 .86783 (367*2π)/10433 weeks
3682.5577 -1.11824 (368*2π)/10433 weeks
3695.23837 -1.50026 (369*2π)/10433 weeks
3707.50972 -.14574 (370*2π)/10433 weeks
3718.29522 1.98996 (371*2π)/10433 weeks
3727.73643 3.52636 (372*2π)/10433 weeks
3737.26103 3.73875 (373*2π)/10433 weeks
3748.3077 3.81288 (374*2π)/10433 weeks
37510.0605 6.07459 (375*2π)/10433 weeks
3769.41062 10.62668 (376*2π)/10433 weeks
3774.62654 14.06866 (377*2π)/10433 weeks
378-1.68692 12.99109 (378*2π)/10433 weeks
379-5.21757 8.01517 (379*2π)/10433 weeks
380-4.44489 3.0103 (380*2π)/10433 weeks
381-1.65948 .8437 (381*2π)/10433 weeks
382.11894 1.14358 (382*2π)/10433 weeks
383-.2669 1.45283 (383*2π)/10433 weeks
384-1.4134 -.3915 (384*2π)/10433 weeks
385-.42364 -4.29564 (385*2π)/10433 weeks
3864.35597 -7.33419 (386*2π)/10433 weeks
38710.87744 -6.0337 (387*2π)/10433 weeks
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