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Fourier Analysis of SGY (Stone Energy Corporation Common)


SGY (Stone Energy Corporation Common) appears to have interesting cyclic behaviour every 77 weeks (201.2327*cosine), 103 weeks (161.6094*cosine), and 65 weeks (78.5871*cosine).

SGY (Stone Energy Corporation Common) has an average price of 1,656.61 (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 7/9/1993 to 3/20/2017 for SGY (Stone Energy Corporation Common), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,656.612   0 
1-827.6963 331.4008 (1*2π)/12371,237 weeks
2-162.54 -205.6725 (2*2π)/1237619 weeks
3-278.603 -264.2288 (3*2π)/1237412 weeks
4-56.97024 295.8737 (4*2π)/1237309 weeks
5-85.01657 101.5523 (5*2π)/1237247 weeks
621.02255 -61.71808 (6*2π)/1237206 weeks
714.60251 345.3362 (7*2π)/1237177 weeks
8152.4736 89.71555 (8*2π)/1237155 weeks
9-43.47541 -165.7158 (9*2π)/1237137 weeks
1042.38795 71.63503 (10*2π)/1237124 weeks
1135.11717 -119.6029 (11*2π)/1237112 weeks
12-161.6094 41.17593 (12*2π)/1237103 weeks
1379.44347 95.49171 (13*2π)/123795 weeks
14-38.01613 -61.98494 (14*2π)/123788 weeks
15-28.61547 65.69832 (15*2π)/123782 weeks
16201.2327 53.83521 (16*2π)/123777 weeks
17-50.15637 -43.4148 (17*2π)/123773 weeks
18-63.6284 43.88853 (18*2π)/123769 weeks
1978.58714 -19.84577 (19*2π)/123765 weeks
206.75275 -3.28373 (20*2π)/123762 weeks
21-58.02567 39.93046 (21*2π)/123759 weeks
22-3.63788 37.28645 (22*2π)/123756 weeks
23-47.41747 1.74734 (23*2π)/123754 weeks
2470.82954 61.76098 (24*2π)/123752 weeks
25-16.72589 -.06555 (25*2π)/123749 weeks
26-35.13739 1.05537 (26*2π)/123748 weeks
2778.29803 10.79959 (27*2π)/123746 weeks
28-13.0714 -9.75355 (28*2π)/123744 weeks
29-35.99901 .60828 (29*2π)/123743 weeks
30-35.00949 -18.84789 (30*2π)/123741 weeks
31-2.9485 25.70027 (31*2π)/123740 weeks
32-14.72231 68.40411 (32*2π)/123739 weeks
3312.91611 -18.1461 (33*2π)/123737 weeks
34-4.0928 -4.32011 (34*2π)/123736 weeks
3553.25592 24.89637 (35*2π)/123735 weeks
36-19.54613 26.42152 (36*2π)/123734 weeks
37-15.33523 -15.02614 (37*2π)/123733 weeks
3816.35875 -29.16501 (38*2π)/123733 weeks
39-11.15087 5.34996 (39*2π)/123732 weeks
409.45565 30.52615 (40*2π)/123731 weeks
4127.43214 7.60691 (41*2π)/123730 weeks
42-13.0345 -6.4826 (42*2π)/123729 weeks
43-5.91512 1.28468 (43*2π)/123729 weeks
44-32.81423 -7.3326 (44*2π)/123728 weeks
4515.3881 16.51381 (45*2π)/123727 weeks
46-8.35551 24.16774 (46*2π)/123727 weeks
47-15.67711 2.89989 (47*2π)/123726 weeks
4821.85228 3.05941 (48*2π)/123726 weeks
498.96798 -5.91914 (49*2π)/123725 weeks
50-6.94103 28.19745 (50*2π)/123725 weeks
519.5459 6.00388 (51*2π)/123724 weeks
52-35.45436 -19.17886 (52*2π)/123724 weeks
5319.32364 -6.17302 (53*2π)/123723 weeks
54-3.3785 -1.11636 (54*2π)/123723 weeks
551.51857 22.67364 (55*2π)/123722 weeks
565.30754 -13.05356 (56*2π)/123722 weeks
5710.67282 13.01652 (57*2π)/123722 weeks
58-11.95762 8.31913 (58*2π)/123721 weeks
59-3.79818 -12.55879 (59*2π)/123721 weeks
60-13.59317 7.19575 (60*2π)/123721 weeks
6111.65663 7.14075 (61*2π)/123720 weeks
625.93097 1.11075 (62*2π)/123720 weeks
63.70072 31.82811 (63*2π)/123720 weeks
64-14.56138 -5.67153 (64*2π)/123719 weeks
65-3.24862 6.10794 (65*2π)/123719 weeks
66-1.71149 3.66081 (66*2π)/123719 weeks
6716.8619 6.20311 (67*2π)/123718 weeks
68-6.83644 -5.43762 (68*2π)/123718 weeks
69-4.31699 13.72717 (69*2π)/123718 weeks
701.67874 -3.08629 (70*2π)/123718 weeks
71-7.30282 -9.55083 (71*2π)/123717 weeks
724.71119 -10.1302 (72*2π)/123717 weeks
73-13.02978 4.72846 (73*2π)/123717 weeks
74-16.00471 8.09251 (74*2π)/123717 weeks
7526.36749 -6.96565 (75*2π)/123716 weeks
764.44831 -4.85439 (76*2π)/123716 weeks
77-15.26276 9.16003 (77*2π)/123716 weeks
787.41083 13.37604 (78*2π)/123716 weeks
7914.16443 -7.34107 (79*2π)/123716 weeks
806.43008 17.28101 (80*2π)/123715 weeks
81-2.48035 -13.34268 (81*2π)/123715 weeks
82-2.7894 13.34428 (82*2π)/123715 weeks
83-11.62345 5.03992 (83*2π)/123715 weeks
84.96621 -3.06207 (84*2π)/123715 weeks
857.52381 -11.52757 (85*2π)/123715 weeks
86-.76004 18.83687 (86*2π)/123714 weeks
87-1.01622 6.68887 (87*2π)/123714 weeks
88-2.48541 -5.13457 (88*2π)/123714 weeks
8911.24819 -6.30368 (89*2π)/123714 weeks
90-5.54668 3.1287 (90*2π)/123714 weeks
91-1.90961 10.75682 (91*2π)/123714 weeks
92-9.7884 -1.84358 (92*2π)/123713 weeks
9311.76549 -11.23162 (93*2π)/123713 weeks
942.3359 16.9548 (94*2π)/123713 weeks
956.59532 -5.79591 (95*2π)/123713 weeks
969.95517 10.60309 (96*2π)/123713 weeks
972.11901 .62844 (97*2π)/123713 weeks
98-8.33598 -1.27718 (98*2π)/123713 weeks
994.05616 -8.53204 (99*2π)/123712 weeks
1007.32819 23.91429 (100*2π)/123712 weeks
101-13.81654 .44324 (101*2π)/123712 weeks
1026.85647 2.39767 (102*2π)/123712 weeks
1038.8304 -1.52034 (103*2π)/123712 weeks
104-11.37168 12.82418 (104*2π)/123712 weeks
1054.13102 -6.11564 (105*2π)/123712 weeks
106-2.64209 -3.46012 (106*2π)/123712 weeks
107-7.74361 2.49183 (107*2π)/123712 weeks
1082.46357 -4.61456 (108*2π)/123711 weeks
1091.86634 12.73131 (109*2π)/123711 weeks
1105.90164 7.42855 (110*2π)/123711 weeks
1114.54909 -2.68158 (111*2π)/123711 weeks
1129.27817 -4.14038 (112*2π)/123711 weeks
113-2.07226 -.27464 (113*2π)/123711 weeks
114-8.76478 -1.63717 (114*2π)/123711 weeks
1151.56161 4.7053 (115*2π)/123711 weeks
116-3.60294 -3.31782 (116*2π)/123711 weeks
1178.69232 8.48188 (117*2π)/123711 weeks
118-18.01751 10.13983 (118*2π)/123710 weeks
119-.76235 3.62156 (119*2π)/123710 weeks
1207.26691 -7.51407 (120*2π)/123710 weeks
1211.26111 18.47132 (121*2π)/123710 weeks
122-10.64075 -10.45866 (122*2π)/123710 weeks
12310.54056 -7.93153 (123*2π)/123710 weeks
1246.92541 10.53826 (124*2π)/123710 weeks
125-1.23994 .98056 (125*2π)/123710 weeks
126-13.13445 -12.49337 (126*2π)/123710 weeks
1276.81532 11.60765 (127*2π)/123710 weeks
1285.75915 -1.44516 (128*2π)/123710 weeks
129-.5408 6.57108 (129*2π)/123710 weeks
1308.17775 3.92234 (130*2π)/123710 weeks
131-.57204 -3.89354 (131*2π)/12379 weeks
132-5.79215 -2.13578 (132*2π)/12379 weeks
133-.20757 1.81342 (133*2π)/12379 weeks
1341.90604 2.63939 (134*2π)/12379 weeks
135-5.48568 18.01396 (135*2π)/12379 weeks
13614.11723 -.42139 (136*2π)/12379 weeks
137-2.40679 -7.8413 (137*2π)/12379 weeks
1387.12871 6.39057 (138*2π)/12379 weeks
139-9.90823 -6.34776 (139*2π)/12379 weeks
1403.24089 -3.68558 (140*2π)/12379 weeks
1413.72781 2.44465 (141*2π)/12379 weeks
142-6.4551 -2.76665 (142*2π)/12379 weeks
1434.70646 5.71882 (143*2π)/12379 weeks
144-2.00689 14.50391 (144*2π)/12379 weeks
145-3.63685 -6.35241 (145*2π)/12379 weeks
14613.93493 10.30871 (146*2π)/12378 weeks
147.4389 1.62991 (147*2π)/12378 weeks
148-7.16529 -3.6386 (148*2π)/12378 weeks
1498.33166 -2.28771 (149*2π)/12378 weeks
1501.31285 3.61145 (150*2π)/12378 weeks
151-6.18785 1.87878 (151*2π)/12378 weeks
152-2.87031 2.63718 (152*2π)/12378 weeks
1531.35919 5.5383 (153*2π)/12378 weeks
154-3.36035 6.22796 (154*2π)/12378 weeks
155-5.19967 -12.53755 (155*2π)/12378 weeks
1562.15513 5.87586 (156*2π)/12378 weeks
157-.12354 12.39718 (157*2π)/12378 weeks
158-2.51976 -2.18581 (158*2π)/12378 weeks
15912.99087 -12.31557 (159*2π)/12378 weeks
1601.59514 10.42647 (160*2π)/12378 weeks
1612.5676 -1.13864 (161*2π)/12378 weeks
162-5.20338 -7.6887 (162*2π)/12378 weeks
1637.58133 .7861 (163*2π)/12378 weeks
164-5.22299 2.83956 (164*2π)/12378 weeks
165-7.66571 -2.38431 (165*2π)/12377 weeks
1663.81182 10.41339 (166*2π)/12377 weeks
1677.42251 4.22535 (167*2π)/12377 weeks
168-6.00392 -2.71016 (168*2π)/12377 weeks
1692.88156 -.95917 (169*2π)/12377 weeks
1702.54441 9.20219 (170*2π)/12377 weeks
1713.78618 -7.88497 (171*2π)/12377 weeks
172-1.8989 -3.72374 (172*2π)/12377 weeks
173-4.62651 -3.69995 (173*2π)/12377 weeks
174-5.01723 4.5013 (174*2π)/12377 weeks
1757.53224 3.86185 (175*2π)/12377 weeks
176-2.90002 -2.1224 (176*2π)/12377 weeks
1773.96434 6.35945 (177*2π)/12377 weeks
1784.18773 6.93755 (178*2π)/12377 weeks
179-1.87074 -6.4715 (179*2π)/12377 weeks
1806.335 -5.34278 (180*2π)/12377 weeks
1813.89255 .74568 (181*2π)/12377 weeks
182-5.21284 5.68159 (182*2π)/12377 weeks
1837.48724 3.36355 (183*2π)/12377 weeks
184-7.31546 -8.17054 (184*2π)/12377 weeks
185-.79108 -2.29293 (185*2π)/12377 weeks
186-1.81925 .71601 (186*2π)/12377 weeks
18710.47472 8.37683 (187*2π)/12377 weeks
188-2.53367 5.88201 (188*2π)/12377 weeks
189-.34939 -.74739 (189*2π)/12377 weeks
1903.23963 -1.15439 (190*2π)/12377 weeks
1914.51575 2.39661 (191*2π)/12376 weeks
1922.87981 3.00639 (192*2π)/12376 weeks
193.68762 -1.93204 (193*2π)/12376 weeks
194-2.35089 4.7238 (194*2π)/12376 weeks
195-.58849 -.42569 (195*2π)/12376 weeks
1962.81598 -.45348 (196*2π)/12376 weeks
197-1.39884 12.62169 (197*2π)/12376 weeks
198-3.03496 -6.745 (198*2π)/12376 weeks
1995.18357 -3.78732 (199*2π)/12376 weeks
2007.11553 .56223 (200*2π)/12376 weeks
201.0984 7.96626 (201*2π)/12376 weeks
202-3.9152 -5.38603 (202*2π)/12376 weeks
203-.52965 3.30575 (203*2π)/12376 weeks
2045.68481 -4.24849 (204*2π)/12376 weeks
205-2.24158 5.72769 (205*2π)/12376 weeks
2064.67153 .91583 (206*2π)/12376 weeks
2071.17549 4.04752 (207*2π)/12376 weeks
208.98514 3.55906 (208*2π)/12376 weeks
2097.56258 3.68126 (209*2π)/12376 weeks
210-4.3331 3.35339 (210*2π)/12376 weeks
211-3.27856 -3.06075 (211*2π)/12376 weeks
2127.76659 -1.05021 (212*2π)/12376 weeks
213.67816 2.51106 (213*2π)/12376 weeks
214.4041 6.80662 (214*2π)/12376 weeks
215-9.26586 -5.22571 (215*2π)/12376 weeks
216-7.13662 4.8377 (216*2π)/12376 weeks
2173.34939 2.44915 (217*2π)/12376 weeks
218-.01286 -4.19621 (218*2π)/12376 weeks
2193.44354 6.15346 (219*2π)/12376 weeks
220.00602 4.84833 (220*2π)/12376 weeks
221-4.40397 -6.05834 (221*2π)/12376 weeks
2226.66784 1.83923 (222*2π)/12376 weeks
223-.14853 -3.45832 (223*2π)/12376 weeks
224-4.73746 -.04924 (224*2π)/12376 weeks
2255.86418 7.82758 (225*2π)/12375 weeks
226-4.23822 .24045 (226*2π)/12375 weeks
227-.72355 .79061 (227*2π)/12375 weeks
2287.73562 .32619 (228*2π)/12375 weeks
229.00874 1.75822 (229*2π)/12375 weeks
2301.62575 3.19068 (230*2π)/12375 weeks
2314.12092 -3.53753 (231*2π)/12375 weeks
232-.8776 2.71307 (232*2π)/12375 weeks
233-8.82955 -2.91721 (233*2π)/12375 weeks
2344.53451 -2.13546 (234*2π)/12375 weeks
2355.39118 5.33274 (235*2π)/12375 weeks
236-6.92138 5.98164 (236*2π)/12375 weeks
237.35116 -10.09723 (237*2π)/12375 weeks
2382.82957 -.33842 (238*2π)/12375 weeks
239.09491 11.42564 (239*2π)/12375 weeks
240-5.29846 -2.57278 (240*2π)/12375 weeks
2418.91275 .91099 (241*2π)/12375 weeks
2421.36198 5.31889 (242*2π)/12375 weeks
243-3.64715 -4.16775 (243*2π)/12375 weeks
244-3.87299 -1.32911 (244*2π)/12375 weeks
24510.22804 1.35479 (245*2π)/12375 weeks
246-.39242 -4.88177 (246*2π)/12375 weeks
247.73519 7.64851 (247*2π)/12375 weeks
248-.14719 3.97582 (248*2π)/12375 weeks
249-2.30145 -2.22529 (249*2π)/12375 weeks
250-1.59096 -3.00747 (250*2π)/12375 weeks
2515.41578 6.88386 (251*2π)/12375 weeks
252-.92676 -3.56922 (252*2π)/12375 weeks
2531.14086 .85513 (253*2π)/12375 weeks
2543.64169 .32576 (254*2π)/12375 weeks
255-5.36756 .87669 (255*2π)/12375 weeks
2564.38832 -1.05206 (256*2π)/12375 weeks
2578.63543 .05491 (257*2π)/12375 weeks
258-11.98804 6.0171 (258*2π)/12375 weeks
259.56985 1.25173 (259*2π)/12375 weeks
2601.05008 -4.7067 (260*2π)/12375 weeks
2613.84692 5.46633 (261*2π)/12375 weeks
2623.74551 -.82101 (262*2π)/12375 weeks
263-1.91495 -2.92908 (263*2π)/12375 weeks
2641.03683 5.52118 (264*2π)/12375 weeks
265-.94454 -.91839 (265*2π)/12375 weeks
266-8.37474 .52591 (266*2π)/12375 weeks
2678.28741 3.13764 (267*2π)/12375 weeks
2683.58702 -4.15038 (268*2π)/12375 weeks
269.89405 1.42225 (269*2π)/12375 weeks
2701.54582 -1.72642 (270*2π)/12375 weeks
271-4.93248 -2.52447 (271*2π)/12375 weeks
272.79952 3.01384 (272*2π)/12375 weeks
2733.69406 2.47331 (273*2π)/12375 weeks
274-.12737 .65168 (274*2π)/12375 weeks
2753.1537 1.72141 (275*2π)/12374 weeks
2765.63022 .56028 (276*2π)/12374 weeks
277-.81609 -4.47228 (277*2π)/12374 weeks
278-1.71463 1.91766 (278*2π)/12374 weeks
279-7.71269 -2.90882 (279*2π)/12374 weeks
2808.11133 1.02464 (280*2π)/12374 weeks
281-1.06119 6.39231 (281*2π)/12374 weeks
282-.69974 4.9635 (282*2π)/12374 weeks
283.23771 -6.9986 (283*2π)/12374 weeks
2845.75453 3.53721 (284*2π)/12374 weeks
285-.84699 -5.35487 (285*2π)/12374 weeks
286.87426 3.5776 (286*2π)/12374 weeks
287-.69424 -2.50435 (287*2π)/12374 weeks
288.81974 7.27719 (288*2π)/12374 weeks
2892.44575 .56034 (289*2π)/12374 weeks
2901.66132 .44542 (290*2π)/12374 weeks
2911.97519 1.62645 (291*2π)/12374 weeks
2924.51905 5.55772 (292*2π)/12374 weeks
2934.86156 -5.49579 (293*2π)/12374 weeks
294-2.50042 -1.55232 (294*2π)/12374 weeks
295-.21338 2.76407 (295*2π)/12374 weeks
296-2.06032 .55629 (296*2π)/12374 weeks
297-.52883 5.8864 (297*2π)/12374 weeks
298-4.9132 .4924 (298*2π)/12374 weeks
299-3.26746 1.27925 (299*2π)/12374 weeks
3006.62381 -.53618 (300*2π)/12374 weeks
301-.41149 1.20784 (301*2π)/12374 weeks
302-1.05777 .34628 (302*2π)/12374 weeks
3033.83981 .46066 (303*2π)/12374 weeks
3041.53756 .02177 (304*2π)/12374 weeks
3053.81241 -1.55189 (305*2π)/12374 weeks
306-1.08294 2.34947 (306*2π)/12374 weeks
307-4.38558 2.98402 (307*2π)/12374 weeks
3086.66323 -1.63873 (308*2π)/12374 weeks
309.99236 -.09174 (309*2π)/12374 weeks
310-.49532 2.86661 (310*2π)/12374 weeks
311.09514 3.3007 (311*2π)/12374 weeks
3123.3427 .89222 (312*2π)/12374 weeks
313.66372 -1.61313 (313*2π)/12374 weeks
314-6.331 -2.58981 (314*2π)/12374 weeks
3153.18631 -1.79227 (315*2π)/12374 weeks
316-.02267 2.93549 (316*2π)/12374 weeks
317-.44297 6.18607 (317*2π)/12374 weeks
318-2.61186 -2.15583 (318*2π)/12374 weeks
319.14923 -.42028 (319*2π)/12374 weeks
3202.65252 4.63382 (320*2π)/12374 weeks
3212.25296 -.52621 (321*2π)/12374 weeks
3221.19079 .28982 (322*2π)/12374 weeks
323-2.77451 .39281 (323*2π)/12374 weeks
3243.92906 -.21685 (324*2π)/12374 weeks
3253.95731 .54458 (325*2π)/12374 weeks
326-2.81866 -.57041 (326*2π)/12374 weeks
327-.78898 -3.31082 (327*2π)/12374 weeks
3283.26674 3.30747 (328*2π)/12374 weeks
329-3.95553 3.34143 (329*2π)/12374 weeks
330-1.90215 -.48661 (330*2π)/12374 weeks
3313.43592 -1.7706 (331*2π)/12374 weeks
332.67597 4.3261 (332*2π)/12374 weeks
333-2.92605 2.04493 (333*2π)/12374 weeks
3346.60843 -1.37615 (334*2π)/12374 weeks
335-1.87866 -.25386 (335*2π)/12374 weeks
336-.94508 .40423 (336*2π)/12374 weeks
337-2.32045 .32693 (337*2π)/12374 weeks
3382.85611 .77749 (338*2π)/12374 weeks
339-.23958 4.4374 (339*2π)/12374 weeks
3405.20442 -2.66097 (340*2π)/12374 weeks
341-2.13643 1.27602 (341*2π)/12374 weeks
3423.58592 4.13611 (342*2π)/12374 weeks
343-.96549 -2.91948 (343*2π)/12374 weeks
3441.21577 -1.33659 (344*2π)/12374 weeks
345-.79189 .47514 (345*2π)/12374 weeks
346-1.95663 3.26828 (346*2π)/12374 weeks
347-1.72329 -.32371 (347*2π)/12374 weeks
3482.51367 .96328 (348*2π)/12374 weeks
349-1.89217 .26263 (349*2π)/12374 weeks
3504.11846 -.3612 (350*2π)/12374 weeks
351-2.65641 1.50826 (351*2π)/12374 weeks
3523.10721 1.27677 (352*2π)/12374 weeks
353.80034 -1.51367 (353*2π)/12374 weeks
354-2.56732 1.29124 (354*2π)/12373 weeks
3551.36673 1.74727 (355*2π)/12373 weeks
3563.17414 .40785 (356*2π)/12373 weeks
3571.3822 -.00095 (357*2π)/12373 weeks
358-2.33753 1.05958 (358*2π)/12373 weeks
3593.17092 3.39132 (359*2π)/12373 weeks
360-3.61799 .81565 (360*2π)/12373 weeks
3612.63015 -6.4332 (361*2π)/12373 weeks
362-.14976 .78837 (362*2π)/12373 weeks
3632.37999 6.13449 (363*2π)/12373 weeks
364-5.41572 -3.00658 (364*2π)/12373 weeks
3653.51476 -1.64649 (365*2π)/12373 weeks
366-.1986 2.44256 (366*2π)/12373 weeks
367-1.55472 -1.43603 (367*2π)/12373 weeks
368.51669 -2.43991 (368*2π)/12373 weeks
3693.41148 4.72203 (369*2π)/12373 weeks
370-2.18212 -.23966 (370*2π)/12373 weeks
3712.80233 .64887 (371*2π)/12373 weeks
3721.80718 -.32936 (372*2π)/12373 weeks
373-2.04401 -.27797 (373*2π)/12373 weeks
3743.42315 1.68493 (374*2π)/12373 weeks
375-.6236 1.57705 (375*2π)/12373 weeks
3762.49898 -1.65671 (376*2π)/12373 weeks
377.81159 -1.31465 (377*2π)/12373 weeks
378.06653 3.96915 (378*2π)/12373 weeks
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