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Fourier Analysis of EPM (Evolution Petroleum Corporation)


EPM (Evolution Petroleum Corporation) appears to have interesting cyclic behaviour every 105 weeks (129.7113*sine), 96 weeks (112.0417*sine), and 33 weeks (44.4044*cosine).

EPM (Evolution Petroleum Corporation) has an average price of 264.18 (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 3/13/2017 for EPM (Evolution Petroleum Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0264.1753   0 
1441.8185 184.992 (1*2π)/10521,052 weeks
2284.9877 244.811 (2*2π)/1052526 weeks
3196.2014 200.2591 (3*2π)/1052351 weeks
4196.6101 171.1479 (4*2π)/1052263 weeks
5197.8332 206.176 (5*2π)/1052210 weeks
6145.6071 250.5247 (6*2π)/1052175 weeks
768.90241 248.6976 (7*2π)/1052150 weeks
814.47101 210.1809 (8*2π)/1052132 weeks
9-7.3388 164.9203 (9*2π)/1052117 weeks
10-7.69487 129.7113 (10*2π)/1052105 weeks
112.17984 112.0417 (11*2π)/105296 weeks
125.46136 109.0741 (12*2π)/105288 weeks
13-4.5736 106.0257 (13*2π)/105281 weeks
14-14.79272 89.14601 (14*2π)/105275 weeks
15-9.99935 70.16702 (15*2π)/105270 weeks
162.47723 64.78202 (16*2π)/105266 weeks
175.88413 69.109 (17*2π)/105262 weeks
181.92166 70.20018 (18*2π)/105258 weeks
19-.51565 68.59607 (19*2π)/105255 weeks
20-4.53587 70.5455 (20*2π)/105253 weeks
21-16.43518 69.45875 (21*2π)/105250 weeks
22-29.62266 57.96073 (22*2π)/105248 weeks
23-33.41698 38.98549 (23*2π)/105246 weeks
24-27.60987 21.63523 (24*2π)/105244 weeks
25-15.93839 9.25593 (25*2π)/105242 weeks
26.5434 4.05051 (26*2π)/105240 weeks
2714.99084 10.94711 (27*2π)/105239 weeks
2816.10501 22.73675 (28*2π)/105238 weeks
297.64261 22.94065 (29*2π)/105236 weeks
309.46724 10.7834 (30*2π)/105235 weeks
3127.76434 6.30168 (31*2π)/105234 weeks
3244.40442 22.60219 (32*2π)/105233 weeks
3341.02532 46.65364 (33*2π)/105232 weeks
3421.94949 58.48452 (34*2π)/105231 weeks
354.27654 53.27943 (35*2π)/105230 weeks
36-1.76628 40.53175 (36*2π)/105229 weeks
374.20902 32.18592 (37*2π)/105228 weeks
3812.73083 36.82836 (38*2π)/105228 weeks
399.05555 51.11028 (39*2π)/105227 weeks
40-12.21645 56.60308 (40*2π)/105226 weeks
41-32.98483 39.06344 (41*2π)/105226 weeks
42-31.07728 10.67261 (42*2π)/105225 weeks
43-9.61324 -1.93633 (43*2π)/105224 weeks
445.90562 6.95459 (44*2π)/105224 weeks
452.51952 17.25237 (45*2π)/105223 weeks
46-5.93798 12.83202 (46*2π)/105223 weeks
47-2.87842 .56066 (47*2π)/105222 weeks
4811.33248 -4.22616 (48*2π)/105222 weeks
4924.58958 4.07454 (49*2π)/105221 weeks
5027.19441 19.03983 (50*2π)/105221 weeks
5118.01795 29.82056 (51*2π)/105221 weeks
525.85367 28.63007 (52*2π)/105220 weeks
532.80317 19.51764 (53*2π)/105220 weeks
549.55031 16.41738 (54*2π)/105219 weeks
5512.12226 24.42473 (55*2π)/105219 weeks
561.63793 30.14887 (56*2π)/105219 weeks
57-10.11005 20.90605 (57*2π)/105218 weeks
58-7.13815 5.57869 (58*2π)/105218 weeks
596.09692 1.83151 (59*2π)/105218 weeks
6011.99968 9.73453 (60*2π)/105218 weeks
616.62014 14.00965 (61*2π)/105217 weeks
622.73179 7.47436 (62*2π)/105217 weeks
639.56286 -.19014 (63*2π)/105217 weeks
6421.69314 1.60741 (64*2π)/105216 weeks
6528.5077 12.48513 (65*2π)/105216 weeks
6625.48276 24.60623 (66*2π)/105216 weeks
6715.63621 30.09437 (67*2π)/105216 weeks
687.41854 26.74125 (68*2π)/105215 weeks
697.27856 21.1151 (69*2π)/105215 weeks
7011.34874 22.54976 (70*2π)/105215 weeks
718.73502 30.07363 (71*2π)/105215 weeks
72-2.91124 31.79767 (72*2π)/105215 weeks
73-11.9876 21.80692 (73*2π)/105214 weeks
74-9.24194 9.47726 (74*2π)/105214 weeks
75-.27986 5.88077 (75*2π)/105214 weeks
764.3598 9.56147 (76*2π)/105214 weeks
773.19737 12.37934 (77*2π)/105214 weeks
781.17063 11.54774 (78*2π)/105213 weeks
79.73314 9.12908 (79*2π)/105213 weeks
802.099 6.44511 (80*2π)/105213 weeks
816.09956 5.08038 (81*2π)/105213 weeks
8210.55803 8.26824 (82*2π)/105213 weeks
839.59571 15.03561 (83*2π)/105213 weeks
841.81288 17.76547 (84*2π)/105213 weeks
85-5.26907 11.73681 (85*2π)/105212 weeks
86-4.35275 2.39185 (86*2π)/105212 weeks
872.79881 -1.85 (87*2π)/105212 weeks
888.45361 .66742 (88*2π)/105212 weeks
898.20947 4.45029 (89*2π)/105212 weeks
904.99356 3.57357 (90*2π)/105212 weeks
915.08989 -2.1357 (91*2π)/105212 weeks
9212.08053 -6.79694 (92*2π)/105211 weeks
9321.72084 -3.75981 (93*2π)/105211 weeks
9425.18057 5.73829 (94*2π)/105211 weeks
9520.01023 12.35503 (95*2π)/105211 weeks
9614.43542 10.12043 (96*2π)/105211 weeks
9716.93455 5.03672 (97*2π)/105211 weeks
9824.57347 7.0661 (98*2π)/105211 weeks
9927.18424 16.39919 (99*2π)/105211 weeks
10021.10732 24.20203 (100*2π)/105211 weeks
10112.54902 24.20098 (101*2π)/105210 weeks
1029.12754 19.0474 (102*2π)/105210 weeks
10311.67769 15.68957 (103*2π)/105210 weeks
10414.99559 18.15323 (104*2π)/105210 weeks
10513.14364 23.56604 (105*2π)/105210 weeks
1066.18384 24.96076 (106*2π)/105210 weeks
1071.36779 19.20836 (107*2π)/105210 weeks
1084.76711 13.04216 (108*2π)/105210 weeks
10911.54828 15.24123 (109*2π)/105210 weeks
11010.79274 23.78008 (110*2π)/105210 weeks
1111.0685 26.89074 (111*2π)/10529 weeks
112-6.728 19.42984 (112*2π)/10529 weeks
113-4.26124 10.01402 (113*2π)/10529 weeks
1143.42426 8.74169 (114*2π)/10529 weeks
1155.82062 14.39421 (115*2π)/10529 weeks
116.72995 17.84142 (116*2π)/10529 weeks
117-5.23781 13.94716 (117*2π)/10529 weeks
118-5.21394 6.01195 (118*2π)/10529 weeks
1191.61857 .98517 (119*2π)/10529 weeks
1209.73321 3.86907 (120*2π)/10529 weeks
12111.45654 12.25131 (121*2π)/10529 weeks
1224.80803 17.57158 (122*2π)/10529 weeks
123-2.79414 13.9419 (123*2π)/10529 weeks
124-2.82461 6.00515 (124*2π)/10528 weeks
1253.45616 3.02903 (125*2π)/10528 weeks
1267.4166 6.68618 (126*2π)/10528 weeks
1275.52013 10.17195 (127*2π)/10528 weeks
1282.57723 8.94158 (128*2π)/10528 weeks
1293.13361 6.01249 (129*2π)/10528 weeks
1305.83657 5.52112 (130*2π)/10528 weeks
1317.2514 7.29699 (131*2π)/10528 weeks
1326.57156 8.9854 (132*2π)/10528 weeks
1334.91559 9.17273 (133*2π)/10528 weeks
1343.74114 7.47463 (134*2π)/10528 weeks
1355.01378 4.76082 (135*2π)/10528 weeks
1369.20633 4.3024 (136*2π)/10528 weeks
13712.49848 8.43562 (137*2π)/10528 weeks
13810.50309 13.91384 (138*2π)/10528 weeks
1394.85839 15.0719 (139*2π)/10528 weeks
1401.70555 11.19636 (140*2π)/10528 weeks
1413.82445 7.8659 (141*2π)/10527 weeks
1427.17828 9.5438 (142*2π)/10527 weeks
1435.87384 14.01447 (143*2π)/10527 weeks
144-.24902 15.19299 (144*2π)/10527 weeks
145-5.63528 9.9242 (145*2π)/10527 weeks
146-4.70237 1.56895 (146*2π)/10527 weeks
1472.61373 -2.80854 (147*2π)/10527 weeks
1489.76241 .63241 (148*2π)/10527 weeks
14910.03052 7.50449 (149*2π)/10527 weeks
1504.19975 9.65268 (150*2π)/10527 weeks
151.45701 4.29643 (151*2π)/10527 weeks
1524.72199 -2.20838 (152*2π)/10527 weeks
15313.68909 -1.51151 (153*2π)/10527 weeks
15418.22969 6.79933 (154*2π)/10527 weeks
15514.14437 14.99204 (155*2π)/10527 weeks
1566.10145 16.07604 (156*2π)/10527 weeks
1572.07149 10.91653 (157*2π)/10527 weeks
1584.52446 6.55581 (158*2π)/10527 weeks
1598.42488 7.85 (159*2π)/10527 weeks
1607.80332 12.03503 (160*2π)/10527 weeks
1613.14006 12.88524 (161*2π)/10527 weeks
162.34228 8.92097 (162*2π)/10526 weeks
1632.4838 5.20189 (163*2π)/10526 weeks
1645.79701 5.84039 (164*2π)/10526 weeks
1655.48319 8.48015 (165*2π)/10526 weeks
1662.68688 8.17313 (166*2π)/10526 weeks
1672.01035 4.74222 (167*2π)/10526 weeks
1684.97321 2.24425 (168*2π)/10526 weeks
1698.65902 3.14444 (169*2π)/10526 weeks
17010.14746 6.11713 (170*2π)/10526 weeks
1719.24114 8.6316 (171*2π)/10526 weeks
1727.39955 9.39839 (172*2π)/10526 weeks
1736.29864 8.65412 (173*2π)/10526 weeks
1746.77282 7.95642 (174*2π)/10526 weeks
1757.65904 8.97998 (175*2π)/10526 weeks
1766.4922 10.85124 (176*2π)/10526 weeks
1773.55742 10.464 (177*2π)/10526 weeks
1782.53823 7.23344 (178*2π)/10526 weeks
1795.26926 4.89657 (179*2π)/10526 weeks
1808.42808 6.55773 (180*2π)/10526 weeks
1818.11875 9.93764 (181*2π)/10526 weeks
1825.33396 10.84728 (182*2π)/10526 weeks
1833.83935 9.05118 (183*2π)/10526 weeks
1844.74202 7.51831 (184*2π)/10526 weeks
1856.26789 7.73553 (185*2π)/10526 weeks
1867.1128 9.06416 (186*2π)/10526 weeks
1877.00673 11.05936 (187*2π)/10526 weeks
1885.14838 13.03906 (188*2π)/10526 weeks
1891.76653 13.20403 (189*2π)/10526 weeks
190-.60844 10.62672 (190*2π)/10526 weeks
191.0026 7.76793 (191*2π)/10526 weeks
1921.8773 7.42318 (192*2π)/10525 weeks
1931.80778 8.78538 (193*2π)/10525 weeks
194-.20179 8.77591 (194*2π)/10525 weeks
195-1.59853 6.52531 (195*2π)/10525 weeks
196-.91584 3.85909 (196*2π)/10525 weeks
1971.11205 2.35197 (197*2π)/10525 weeks
1983.38594 2.24401 (198*2π)/10525 weeks
1995.06537 3.46666 (199*2π)/10525 weeks
2005.10051 5.34147 (200*2π)/10525 weeks
2013.58983 5.84016 (201*2π)/10525 weeks
2022.80576 4.12195 (202*2π)/10525 weeks
2034.81004 2.23598 (203*2π)/10525 weeks
2048.27638 3.21312 (204*2π)/10525 weeks
2059.8496 6.99102 (205*2π)/10525 weeks
2068.24925 10.74312 (206*2π)/10525 weeks
2074.98109 12.34636 (207*2π)/10525 weeks
2082.04674 12.10837 (208*2π)/10525 weeks
209-.19763 11.12062 (209*2π)/10525 weeks
210-2.08088 9.46221 (210*2π)/10525 weeks
211-3.11159 6.94903 (211*2π)/10525 weeks
212-2.45326 4.38036 (212*2π)/10525 weeks
213-.59627 3.38145 (213*2π)/10525 weeks
214.45607 4.32926 (214*2π)/10525 weeks
215-.81031 5.26856 (215*2π)/10525 weeks
216-3.04936 3.768 (216*2π)/10525 weeks
217-3.02314 .15251 (217*2π)/10525 weeks
218.25423 -2.02392 (218*2π)/10525 weeks
2193.50824 -.3062 (219*2π)/10525 weeks
2202.8837 3.1072 (220*2π)/10525 weeks
221-.96285 3.52788 (221*2π)/10525 weeks
222-3.52484 -.39596 (222*2π)/10525 weeks
223-1.62756 -5.19623 (223*2π)/10525 weeks
2243.1259 -6.62373 (224*2π)/10525 weeks
2256.45592 -4.04159 (225*2π)/10525 weeks
2265.62343 -.75546 (226*2π)/10525 weeks
2272.12708 -.84037 (227*2π)/10525 weeks
228.34662 -5.09321 (228*2π)/10525 weeks
2293.21168 -10.05007 (229*2π)/10525 weeks
2309.08576 -11.43841 (230*2π)/10525 weeks
23113.54893 -8.83166 (231*2π)/10525 weeks
23214.54943 -5.6918 (232*2π)/10525 weeks
23314.24863 -4.88109 (233*2π)/10525 weeks
23415.56152 -5.58844 (234*2π)/10524 weeks
23518.74653 -5.32392 (235*2π)/10524 weeks
23622.31392 -2.94672 (236*2π)/10524 weeks
23724.76305 1.43491 (237*2π)/10524 weeks
23824.73025 7.0287 (238*2π)/10524 weeks
23921.51089 11.55366 (239*2π)/10524 weeks
24017.084 12.54295 (240*2π)/10524 weeks
24115.153 10.76366 (241*2π)/10524 weeks
24216.41521 10.21789 (242*2π)/10524 weeks
24317.35459 13.02756 (243*2π)/10524 weeks
24414.81835 16.48604 (244*2π)/10524 weeks
24510.38407 16.89233 (245*2π)/10524 weeks
2467.63447 14.4758 (246*2π)/10524 weeks
2477.58884 12.07053 (247*2π)/10524 weeks
2488.51655 11.28337 (248*2π)/10524 weeks
2499.03042 11.493 (249*2π)/10524 weeks
2509.06638 11.76103 (250*2π)/10524 weeks
2519.12391 11.96758 (251*2π)/10524 weeks
2529.5084 12.37639 (252*2π)/10524 weeks
2539.95775 13.69151 (253*2π)/10524 weeks
2549.23403 15.9932 (254*2π)/10524 weeks
2556.41379 17.65954 (255*2π)/10524 weeks
2563.03724 16.73474 (256*2π)/10524 weeks
2571.8551 14.11698 (257*2π)/10524 weeks
2582.99398 12.94901 (258*2π)/10524 weeks
2593.21935 14.19903 (259*2π)/10524 weeks
260.66426 14.98771 (260*2π)/10524 weeks
261-2.18055 12.44427 (261*2π)/10524 weeks
262-1.53239 8.10824 (262*2π)/10524 weeks
2632.60866 6.3295 (263*2π)/10524 weeks
2646.20922 9.09943 (264*2π)/10524 weeks
2655.61189 13.7773 (265*2π)/10524 weeks
2661.32465 15.86347 (266*2π)/10524 weeks
267-2.48596 13.69656 (267*2π)/10524 weeks
268-2.59804 10.25695 (268*2π)/10524 weeks
269-.28617 9.68725 (269*2π)/10524 weeks
270-.05241 12.36524 (270*2π)/10524 weeks
271-3.96252 14.16618 (271*2π)/10524 weeks
272-9.04163 11.4106 (272*2π)/10524 weeks
273-10.56103 5.24135 (273*2π)/10524 weeks
274-7.52975 .02279 (274*2π)/10524 weeks
275-2.8167 -1.39549 (275*2π)/10524 weeks
276.15064 .10558 (276*2π)/10524 weeks
277.3782 1.68787 (277*2π)/10524 weeks
278-.3901 1.14183 (278*2π)/10524 weeks
279.59422 -1.07438 (279*2π)/10524 weeks
2804.32371 -2.13502 (280*2π)/10524 weeks
2818.27418 .42019 (281*2π)/10524 weeks
2828.94283 5.21091 (282*2π)/10524 weeks
2835.96563 8.221 (283*2π)/10524 weeks
2842.97502 7.5498 (284*2π)/10524 weeks
2852.92251 5.6445 (285*2π)/10524 weeks
2864.66484 5.88775 (286*2π)/10524 weeks
2875.01395 8.41886 (287*2π)/10524 weeks
2882.61251 10.74449 (288*2π)/10524 weeks
289-1.1275 10.56328 (289*2π)/10524 weeks
290-3.67361 7.80995 (290*2π)/10524 weeks
291-3.54373 4.54914 (291*2π)/10524 weeks
292-1.70759 3.17188 (292*2π)/10524 weeks
293-.86255 3.88284 (293*2π)/10524 weeks
294-2.3512 4.09561 (294*2π)/10524 weeks
295-3.93529 1.62347 (295*2π)/10524 weeks
296-2.5978 -2.05538 (296*2π)/10524 weeks
2971.13733 -3.40354 (297*2π)/10524 weeks
2983.77929 -1.87322 (298*2π)/10524 weeks
2993.89511 -.45603 (299*2π)/10524 weeks
3003.87263 -1.10163 (300*2π)/10524 weeks
3015.96814 -1.9611 (301*2π)/10523 weeks
3028.89224 -.37935 (302*2π)/10523 weeks
3039.65727 3.06351 (303*2π)/10523 weeks
3047.82062 5.36495 (304*2π)/10523 weeks
3055.89804 4.99969 (305*2π)/10523 weeks
3066.39278 3.60308 (306*2π)/10523 weeks
3078.81893 4.29825 (307*2π)/10523 weeks
3089.89807 8.08691 (308*2π)/10523 weeks
3097.00254 12.20042 (309*2π)/10523 weeks
3101.54423 12.55426 (310*2π)/10523 weeks
311-1.83871 8.62267 (311*2π)/10523 weeks
312-.41196 4.53287 (312*2π)/10523 weeks
3133.04764 4.5415 (313*2π)/10523 weeks
3143.58313 7.86711 (314*2π)/10523 weeks
315.04448 9.71374 (315*2π)/10523 weeks
316-3.6927 7.17518 (316*2π)/10523 weeks
317-3.57058 2.60036 (317*2π)/10523 weeks
318.07154 .55229 (318*2π)/10523 weeks
3193.04563 2.7254 (319*2π)/10523 weeks
3201.90702 6.18148 (320*2π)/10523 weeks
321-2.27543 6.41951 (321*2π)/10523 weeks
322-5.00478 2.21425 (322*2π)/10523 weeks
323-2.87249 -2.89449 (323*2π)/10523 weeks
3242.48917 -4.1765 (324*2π)/10523 weeks
3256.22473 -.94721 (325*2π)/10523 weeks
3265.6867 2.99513 (326*2π)/10523 weeks
3272.89245 4.03389 (327*2π)/10523 weeks
3281.51963 2.30672 (328*2π)/10523 weeks
3292.72205 .87423 (329*2π)/10523 weeks
3304.42349 1.68646 (330*2π)/10523 weeks
3314.33783 3.71233 (331*2π)/10523 weeks
3322.47057 4.6831 (332*2π)/10523 weeks
333.65471 3.71088 (333*2π)/10523 weeks
334.37898 2.02906 (334*2π)/10523 weeks
3351.01952 1.24651 (335*2π)/10523 weeks
3361.02287 1.16798 (336*2π)/10523 weeks
337.38943 .25146 (337*2π)/10523 weeks
338.74309 -1.82144 (338*2π)/10523 weeks
3393.03809 -3.30573 (339*2π)/10523 weeks
3405.76782 -2.49345 (340*2π)/10523 weeks
3416.52992 -.16659 (341*2π)/10523 weeks
3425.01756 1.03286 (342*2π)/10523 weeks
3433.54437 -.50151 (343*2π)/10523 weeks
3444.78751 -3.37716 (344*2π)/10523 weeks
3459.03595 -4.37251 (345*2π)/10523 weeks
34613.32915 -1.30773 (346*2π)/10523 weeks
34713.91169 4.20477 (347*2π)/10523 weeks
34810.34085 7.77002 (348*2π)/10523 weeks
3496.55353 6.86304 (349*2π)/10523 weeks
3506.63866 4.06442 (350*2π)/10523 weeks
3519.81178 4.34636 (351*2π)/10523 weeks
35211.01323 8.77167 (352*2π)/10523 weeks
3537.27305 13.13439 (353*2π)/10523 weeks
3541.09711 12.97988 (354*2π)/10523 weeks
355-2.66045 8.4092 (355*2π)/10523 weeks
356-1.73259 3.37113 (356*2π)/10523 weeks
3572.01877 1.52171 (357*2π)/10523 weeks
3584.91061 3.40551 (358*2π)/10523 weeks
3594.46702 6.49287 (359*2π)/10523 weeks
3601.32437 7.48066 (360*2π)/10523 weeks
361-1.27235 5.15998 (361*2π)/10523 weeks
362-.82736 1.78039 (362*2π)/10523 weeks
3631.74041 .43111 (363*2π)/10523 weeks
3643.65347 1.38152 (364*2π)/10523 weeks
3653.86111 2.63321 (365*2π)/10523 weeks
3663.51033 3.09777 (366*2π)/10523 weeks
3673.29311 3.38138 (367*2π)/10523 weeks
3682.61028 3.74307 (368*2π)/10523 weeks
3691.34482 3.187 (369*2π)/10523 weeks
370.83345 1.24031 (370*2π)/10523 weeks
3712.1208 -.84392 (371*2π)/10523 weeks
3724.66281 -1.54131 (372*2π)/10523 weeks
3737.04754 -.50487 (373*2π)/10523 weeks
3748.11421 1.54754 (374*2π)/10523 weeks
3757.77239 3.27786 (375*2π)/10523 weeks
3767.153 3.72193 (376*2π)/10523 weeks
3777.79874 3.61728 (377*2π)/10523 weeks
3789.57731 5.19338 (378*2π)/10523 weeks
3799.77671 9.29273 (379*2π)/10523 weeks
3806.03477 13.32746 (380*2π)/10523 weeks
381-.14819 13.52542 (381*2π)/10523 weeks
382-4.62256 9.36926 (382*2π)/10523 weeks
383-4.91515 4.10274 (383*2π)/10523 weeks
384-2.4169 1.12517 (384*2π)/10523 weeks
385-.16657 .90986 (385*2π)/10523 weeks
386.03137 1.48407 (386*2π)/10523 weeks
387-1.13228 .47328 (387*2π)/10523 weeks
388-1.10308 -2.89535 (388*2π)/10523 weeks
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