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# Fourier Analysis of SXC (SunCoke Energy)

SXC (SunCoke Energy) appears to have interesting cyclic behaviour every 27 weeks (.4776*sine), 35 weeks (.3503*sine), and 15 weeks (.3241*cosine).

SXC (SunCoke Energy) has an average price of 13.05 (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 7/21/2011 to 4/23/2018 for SXC (SunCoke Energy), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
013.04664   0
1-2.49019 4.81333 (1*2π)/354354 weeks
22.04721 -2.18817 (2*2π)/354177 weeks
3-1.70929 .89168 (3*2π)/354118 weeks
4.40961 .08849 (4*2π)/35489 weeks
5.72175 -.84787 (5*2π)/35471 weeks
6-.00366 .06933 (6*2π)/35459 weeks
7-.07695 .00675 (7*2π)/35451 weeks
8-.09424 -.60314 (8*2π)/35444 weeks
9.22581 .78778 (9*2π)/35439 weeks
10.23948 -.35031 (10*2π)/35435 weeks
11.16031 -.2045 (11*2π)/35432 weeks
12-.14217 .22562 (12*2π)/35430 weeks
13.23615 .4776 (13*2π)/35427 weeks
14.07018 .29625 (14*2π)/35425 weeks
15.12243 .3101 (15*2π)/35424 weeks
16.10085 -.00506 (16*2π)/35422 weeks
17-.04982 -.0905 (17*2π)/35421 weeks
18.21149 .26553 (18*2π)/35420 weeks
19-.05734 -.01979 (19*2π)/35419 weeks
20.20465 -.10066 (20*2π)/35418 weeks
21-.15032 .06539 (21*2π)/35417 weeks
22-.12173 .06153 (22*2π)/35416 weeks
23.32407 .19599 (23*2π)/35415 weeks
24-.01678 -.11038 (24*2π)/35415 weeks
25.11515 .04074 (25*2π)/35414 weeks
26.22643 -.03426 (26*2π)/35414 weeks
27.0163 .21164 (27*2π)/35413 weeks
28-.04407 .00099 (28*2π)/35413 weeks
29-.06666 .1088 (29*2π)/35412 weeks
30-.05582 .04591 (30*2π)/35412 weeks
31-.05149 .1555 (31*2π)/35411 weeks
32-.02418 -.03734 (32*2π)/35411 weeks
33.02121 .0455 (33*2π)/35411 weeks
34-.02285 .09961 (34*2π)/35410 weeks
35-.0374 -.05961 (35*2π)/35410 weeks
36-.07162 .09297 (36*2π)/35410 weeks
37.05326 .05062 (37*2π)/35410 weeks
38-.0496 .16812 (38*2π)/3549 weeks
39.0973 -.00462 (39*2π)/3549 weeks
40.0701 .1123 (40*2π)/3549 weeks
41.16065 -.01658 (41*2π)/3549 weeks
42-.02743 .08099 (42*2π)/3548 weeks
43.11236 -.11664 (43*2π)/3548 weeks
44-.00274 .03847 (44*2π)/3548 weeks
45.14518 -.04561 (45*2π)/3548 weeks
46-.02077 .044 (46*2π)/3548 weeks
47.21937 -.1026 (47*2π)/3548 weeks
48-.0056 .03784 (48*2π)/3547 weeks
49.12307 .04514 (49*2π)/3547 weeks
50.12698 .03813 (50*2π)/3547 weeks
51.19398 -.02243 (51*2π)/3547 weeks
52.05963 .00075 (52*2π)/3547 weeks
53.09387 .02371 (53*2π)/3547 weeks
54.0058 .05172 (54*2π)/3547 weeks
55-.03073 -.03503 (55*2π)/3546 weeks
56-.01623 .14346 (56*2π)/3546 weeks
57.02876 .0624 (57*2π)/3546 weeks
58.0599 .06291 (58*2π)/3546 weeks
59-.0425 .03524 (59*2π)/3546 weeks
60.03869 .07333 (60*2π)/3546 weeks
61.00174 .01367 (61*2π)/3546 weeks
62-.07445 .04499 (62*2π)/3546 weeks
63.00758 .08662 (63*2π)/3546 weeks
64.06027 -.07475 (64*2π)/3546 weeks
65-.0442 .09628 (65*2π)/3545 weeks
66.029 .08942 (66*2π)/3545 weeks
67.0166 .0561 (67*2π)/3545 weeks
68.015 -.01027 (68*2π)/3545 weeks
69.01448 -.02084 (69*2π)/3545 weeks
70.02313 -.0142 (70*2π)/3545 weeks
71.00243 .09461 (71*2π)/3545 weeks
72.06158 .00617 (72*2π)/3545 weeks
73.003 .04079 (73*2π)/3545 weeks
74.03662 -.04048 (74*2π)/3545 weeks
75-.00621 -.00682 (75*2π)/3545 weeks
76.02858 .04512 (76*2π)/3545 weeks
77.01211 .00529 (77*2π)/3545 weeks
78.06795 .02851 (78*2π)/3545 weeks
79.05954 .03681 (79*2π)/3544 weeks
80-.02748 .00731 (80*2π)/3544 weeks
81.05255 .02686 (81*2π)/3544 weeks
82-.00074 -.07696 (82*2π)/3544 weeks
83.00968 -.00027 (83*2π)/3544 weeks
84.01405 .08057 (84*2π)/3544 weeks
85.03013 .01256 (85*2π)/3544 weeks
86.00378 .0418 (86*2π)/3544 weeks
87.00704 .02351 (87*2π)/3544 weeks
88.00604 .0452 (88*2π)/3544 weeks
89.06121 .07199 (89*2π)/3544 weeks
90.035 .07987 (90*2π)/3544 weeks
91-.00002 .03453 (91*2π)/3544 weeks
92.03971 .08375 (92*2π)/3544 weeks
93.06746 .00605 (93*2π)/3544 weeks
94.04021 .0074 (94*2π)/3544 weeks
95.07719 -.00948 (95*2π)/3544 weeks
96-.01378 -.00277 (96*2π)/3544 weeks
97.02433 .06158 (97*2π)/3544 weeks
98.0563 -.00458 (98*2π)/3544 weeks
99.04573 .00345 (99*2π)/3544 weeks
100.02727 .02459 (100*2π)/3544 weeks
101.03772 -.00041 (101*2π)/3544 weeks
102.00972 .0737 (102*2π)/3543 weeks
103.01848 .00745 (103*2π)/3543 weeks
104-.02281 .00863 (104*2π)/3543 weeks
105-.00908 .02825 (105*2π)/3543 weeks
106.05359 -.02605 (106*2π)/3543 weeks
107-.00422 -.00004 (107*2π)/3543 weeks
108.01364 .00218 (108*2π)/3543 weeks
109-.02648 .00164 (109*2π)/3543 weeks
110-.04427 .03791 (110*2π)/3543 weeks
111.05661 .03066 (111*2π)/3543 weeks
112-.01484 -.0156 (112*2π)/3543 weeks
113.01561 .00203 (113*2π)/3543 weeks
114.02713 .00864 (114*2π)/3543 weeks
115-.00672 .01597 (115*2π)/3543 weeks
116.02249 .0413 (116*2π)/3543 weeks
117-.01377 -.00848 (117*2π)/3543 weeks
118-.03604 .06897 (118*2π)/3543 weeks
119.00308 .04159 (119*2π)/3543 weeks
120.01272 .01194 (120*2π)/3543 weeks
121.04133 .03136 (121*2π)/3543 weeks
122-.00079 .00042 (122*2π)/3543 weeks
123-.04814 .04356 (123*2π)/3543 weeks
124.0623 -.02191 (124*2π)/3543 weeks
125-.00144 .05733 (125*2π)/3543 weeks
126.05855 .02208 (126*2π)/3543 weeks
127-.00778 .04187 (127*2π)/3543 weeks
128.01106 .00168 (128*2π)/3543 weeks
129.05598 .01246 (129*2π)/3543 weeks
130.04191 -.01723 (130*2π)/3543 weeks
131.00396 .03213 (131*2π)/3543 weeks
132.04458 .0184 (132*2π)/3543 weeks
133.00671 -.06462 (133*2π)/3543 weeks
134.0133 .02929 (134*2π)/3543 weeks
135.04279 -.05221 (135*2π)/3543 weeks
136-.02406 .01644 (136*2π)/3543 weeks
137.04227 .00927 (137*2π)/3543 weeks
138-.01493 .03811 (138*2π)/3543 weeks
139.0291 -.02507 (139*2π)/3543 weeks
140.02134 -.01681 (140*2π)/3543 weeks
141-.04222 -.00326 (141*2π)/3543 weeks
142.00985 .0123 (142*2π)/3542 weeks
143.01209 .0276 (143*2π)/3542 weeks
144.01992 .01847 (144*2π)/3542 weeks
145.06895 .03034 (145*2π)/3542 weeks
146-.01824 .00541 (146*2π)/3542 weeks
147.02724 -.0058 (147*2π)/3542 weeks
148.00596 .00675 (148*2π)/3542 weeks
149-.01697 .02502 (149*2π)/3542 weeks
150.08132 .02411 (150*2π)/3542 weeks
151.06976 .00081 (151*2π)/3542 weeks
152.02673 .02342 (152*2π)/3542 weeks
153.06598 .01403 (153*2π)/3542 weeks
154-.05104 .04027 (154*2π)/3542 weeks
155.03264 .02596 (155*2π)/3542 weeks
156.03306 .01127 (156*2π)/3542 weeks
157-.00515 -.02383 (157*2π)/3542 weeks
158.04269 -.0409 (158*2π)/3542 weeks
159-.01733 .05018 (159*2π)/3542 weeks
160-.0261 -.03542 (160*2π)/3542 weeks
161.02363 .01006 (161*2π)/3542 weeks
162-.02505 -.00963 (162*2π)/3542 weeks
163.02521 .01723 (163*2π)/3542 weeks
164-.04916 .00501 (164*2π)/3542 weeks
165-.03131 -.01803 (165*2π)/3542 weeks
166.02287 -.00286 (166*2π)/3542 weeks
167-.03866 -.01411 (167*2π)/3542 weeks
168.01903 -.01087 (168*2π)/3542 weeks
169.02783 .01006 (169*2π)/3542 weeks
170.00823 -.01042 (170*2π)/3542 weeks
171.00589 .00107 (171*2π)/3542 weeks
172.0372 -.03825 (172*2π)/3542 weeks
173.03033 .02879 (173*2π)/3542 weeks
174.02689 .00341 (174*2π)/3542 weeks
175.01154 -.04671 (175*2π)/3542 weeks
176.06601 .01012 (176*2π)/3542 weeks
177.01122   (177*2π)/3542 weeks
178.06601 -.01012 (178*2π)/3542 weeks
179.01154 .04671 (179*2π)/3542 weeks
180.02689 -.00341 (180*2π)/3542 weeks
181.03033 -.02879 (181*2π)/3542 weeks
182.0372 .03825 (182*2π)/3542 weeks
183.00589 -.00107 (183*2π)/3542 weeks
184.00823 .01042 (184*2π)/3542 weeks
185.02783 -.01006 (185*2π)/3542 weeks
186.01903 .01087 (186*2π)/3542 weeks
187-.03866 .01411 (187*2π)/3542 weeks
188.02287 .00286 (188*2π)/3542 weeks
189-.03131 .01803 (189*2π)/3542 weeks
190-.04916 -.00501 (190*2π)/3542 weeks
191.02521 -.01723 (191*2π)/3542 weeks
192-.02505 .00963 (192*2π)/3542 weeks
193.02363 -.01006 (193*2π)/3542 weeks
194-.0261 .03542 (194*2π)/3542 weeks
195-.01733 -.05018 (195*2π)/3542 weeks
196.04269 .0409 (196*2π)/3542 weeks
197-.00515 .02383 (197*2π)/3542 weeks
198.03306 -.01127 (198*2π)/3542 weeks
199.03264 -.02596 (199*2π)/3542 weeks
200-.05104 -.04027 (200*2π)/3542 weeks
201.06598 -.01403 (201*2π)/3542 weeks
202.02673 -.02342 (202*2π)/3542 weeks
203.06976 -.00081 (203*2π)/3542 weeks
204.08132 -.02411 (204*2π)/3542 weeks
205-.01697 -.02502 (205*2π)/3542 weeks
206.00596 -.00675 (206*2π)/3542 weeks
207.02724 .0058 (207*2π)/3542 weeks
208-.01824 -.00541 (208*2π)/3542 weeks
209.06895 -.03034 (209*2π)/3542 weeks
210.01992 -.01847 (210*2π)/3542 weeks
211.01209 -.0276 (211*2π)/3542 weeks
212.00985 -.0123 (212*2π)/3542 weeks
213-.04222 .00326 (213*2π)/3542 weeks
214.02134 .01681 (214*2π)/3542 weeks
215.0291 .02507 (215*2π)/3542 weeks
216-.01493 -.03811 (216*2π)/3542 weeks
217.04227 -.00927 (217*2π)/3542 weeks
218-.02406 -.01644 (218*2π)/3542 weeks
219.04279 .05221 (219*2π)/3542 weeks
220.0133 -.02929 (220*2π)/3542 weeks
221.00671 .06462 (221*2π)/3542 weeks
222.04458 -.0184 (222*2π)/3542 weeks
223.00396 -.03213 (223*2π)/3542 weeks
224.04191 .01723 (224*2π)/3542 weeks
225.05598 -.01246 (225*2π)/3542 weeks
226.01106 -.00168 (226*2π)/3542 weeks
227-.00778 -.04187 (227*2π)/3542 weeks
228.05855 -.02208 (228*2π)/3542 weeks
229-.00144 -.05733 (229*2π)/3542 weeks
230.0623 .02191 (230*2π)/3542 weeks
231-.04814 -.04356 (231*2π)/3542 weeks
232-.00079 -.00042 (232*2π)/3542 weeks
233.04133 -.03136 (233*2π)/3542 weeks
234.01272 -.01194 (234*2π)/3542 weeks
235.00308 -.04159 (235*2π)/3542 weeks
236-.03604 -.06897 (236*2π)/3542 weeks
237-.01377 .00848 (237*2π)/3541 weeks
238.02249 -.0413 (238*2π)/3541 weeks
239-.00672 -.01597 (239*2π)/3541 weeks
240.02713 -.00864 (240*2π)/3541 weeks
241.01561 -.00203 (241*2π)/3541 weeks
242-.01484 .0156 (242*2π)/3541 weeks
243.05661 -.03066 (243*2π)/3541 weeks
244-.04427 -.03791 (244*2π)/3541 weeks
245-.02648 -.00164 (245*2π)/3541 weeks
246.01364 -.00218 (246*2π)/3541 weeks
247-.00422 .00004 (247*2π)/3541 weeks
248.05359 .02605 (248*2π)/3541 weeks
249-.00908 -.02825 (249*2π)/3541 weeks
250-.02281 -.00863 (250*2π)/3541 weeks
251.01848 -.00745 (251*2π)/3541 weeks
252.00972 -.0737 (252*2π)/3541 weeks
253.03772 .00041 (253*2π)/3541 weeks
254.02727 -.02459 (254*2π)/3541 weeks
255.04573 -.00345 (255*2π)/3541 weeks
256.0563 .00458 (256*2π)/3541 weeks
257.02433 -.06158 (257*2π)/3541 weeks
258-.01378 .00277 (258*2π)/3541 weeks
259.07719 .00948 (259*2π)/3541 weeks
260.04021 -.0074 (260*2π)/3541 weeks
261.06746 -.00605 (261*2π)/3541 weeks
262.03971 -.08375 (262*2π)/3541 weeks
263-.00002 -.03453 (263*2π)/3541 weeks
264.035 -.07987 (264*2π)/3541 weeks
265.06121 -.07199 (265*2π)/3541 weeks
266.00604 -.0452 (266*2π)/3541 weeks
267.00704 -.02351 (267*2π)/3541 weeks
268.00378 -.0418 (268*2π)/3541 weeks
269.03013 -.01256 (269*2π)/3541 weeks
270.01405 -.08057 (270*2π)/3541 weeks
271.00968 .00027 (271*2π)/3541 weeks
272-.00074 .07696 (272*2π)/3541 weeks
273.05255 -.02686 (273*2π)/3541 weeks
274-.02748 -.00731 (274*2π)/3541 weeks
275.05954 -.03681 (275*2π)/3541 weeks
276.06795 -.02851 (276*2π)/3541 weeks
277.01211 -.00529 (277*2π)/3541 weeks
278.02858 -.04512 (278*2π)/3541 weeks
279-.00621 .00682 (279*2π)/3541 weeks
280.03662 .04048 (280*2π)/3541 weeks
281.003 -.04079 (281*2π)/3541 weeks
282.06158 -.00617 (282*2π)/3541 weeks
283.00243 -.09461 (283*2π)/3541 weeks
284.02313 .0142 (284*2π)/3541 weeks
285.01448 .02084 (285*2π)/3541 weeks
286.015 .01027 (286*2π)/3541 weeks
287.0166 -.0561 (287*2π)/3541 weeks
288.029 -.08942 (288*2π)/3541 weeks
289-.0442 -.09628 (289*2π)/3541 weeks
290.06027 .07475 (290*2π)/3541 weeks
291.00758 -.08662 (291*2π)/3541 weeks
292-.07445 -.04499 (292*2π)/3541 weeks
293.00174 -.01367 (293*2π)/3541 weeks
294.03869 -.07333 (294*2π)/3541 weeks
295-.0425 -.03524 (295*2π)/3541 weeks
296.0599 -.06291 (296*2π)/3541 weeks
297.02876 -.0624 (297*2π)/3541 weeks
298-.01623 -.14346 (298*2π)/3541 weeks
299-.03073 .03503 (299*2π)/3541 weeks
300.0058 -.05172 (300*2π)/3541 weeks
301.09387 -.02371 (301*2π)/3541 weeks
302.05963 -.00075 (302*2π)/3541 weeks
303.19398 .02243 (303*2π)/3541 weeks
304.12698 -.03813 (304*2π)/3541 weeks
305.12307 -.04514 (305*2π)/3541 weeks
306-.0056 -.03784 (306*2π)/3541 weeks
307.21937 .1026 (307*2π)/3541 weeks
308-.02077 -.044 (308*2π)/3541 weeks
309.14518 .04561 (309*2π)/3541 weeks
310-.00274 -.03847 (310*2π)/3541 weeks
311.11236 .11664 (311*2π)/3541 weeks
312-.02743 -.08099 (312*2π)/3541 weeks
313.16065 .01658 (313*2π)/3541 weeks
314.0701 -.1123 (314*2π)/3541 weeks
315.0973 .00462 (315*2π)/3541 weeks
316-.0496 -.16812 (316*2π)/3541 weeks
317.05326 -.05062 (317*2π)/3541 weeks
318-.07162 -.09297 (318*2π)/3541 weeks
319-.0374 .05961 (319*2π)/3541 weeks
320-.02285 -.09961 (320*2π)/3541 weeks
321.02121 -.0455 (321*2π)/3541 weeks
322-.02418 .03734 (322*2π)/3541 weeks
323-.05149 -.1555 (323*2π)/3541 weeks
324-.05582 -.04591 (324*2π)/3541 weeks
325-.06666 -.1088 (325*2π)/3541 weeks
326-.04407 -.00099 (326*2π)/3541 weeks
327.0163 -.21164 (327*2π)/3541 weeks
328.22643 .03426 (328*2π)/3541 weeks
329.11515 -.04074 (329*2π)/3541 weeks
330-.01678 .11038 (330*2π)/3541 weeks
331.32407 -.19599 (331*2π)/3541 weeks
332-.12173 -.06153 (332*2π)/3541 weeks
333-.15032 -.06539 (333*2π)/3541 weeks
334.20465 .10066 (334*2π)/3541 weeks
335-.05734 .01979 (335*2π)/3541 weeks
336.21149 -.26553 (336*2π)/3541 weeks
337-.04982 .0905 (337*2π)/3541 weeks
338.10085 .00506 (338*2π)/3541 weeks
339.12243 -.3101 (339*2π)/3541 weeks
340.07018 -.29625 (340*2π)/3541 weeks
341.23615 -.4776 (341*2π)/3541 weeks
342-.14217 -.22562 (342*2π)/3541 weeks
343.16031 .2045 (343*2π)/3541 weeks
344.23948 .35031 (344*2π)/3541 weeks
345.22581 -.78778 (345*2π)/3541 weeks
346-.09424 .60314 (346*2π)/3541 weeks
347-.07695 -.00675 (347*2π)/3541 weeks
348-.00366 -.06933 (348*2π)/3541 weeks
349.72175 .84787 (349*2π)/3541 weeks
350.40961 -.08849 (350*2π)/3541 weeks
351-1.70929 -.89168 (351*2π)/3541 weeks
3522.04721 2.18817 (352*2π)/3541 weeks