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# Fourier Analysis of DKL (Delek Logistics Partners)

DKL (Delek Logistics Partners) appears to have interesting cyclic behaviour every 21 weeks (.9331*sine), 18 weeks (.6817*sine), and 21 weeks (.4321*cosine).

DKL (Delek Logistics Partners) has an average price of 25.78 (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 11/2/2012 to 6/4/2018 for DKL (Delek Logistics Partners), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
025.77942   0
1-2.05589 -.63523 (1*2π)/293293 weeks
2.60829 -4.17325 (2*2π)/293147 weeks
3-1.71166 .06817 (3*2π)/29398 weeks
4.00012 -.91699 (4*2π)/29373 weeks
5-.53137 -.47473 (5*2π)/29359 weeks
6-.25589 -1.75231 (6*2π)/29349 weeks
7-.74418 -.13276 (7*2π)/29342 weeks
8-.14489 -1.24453 (8*2π)/29337 weeks
9.3911 -.53446 (9*2π)/29333 weeks
10-.34958 -.21418 (10*2π)/29329 weeks
11-.04209 -.19594 (11*2π)/29327 weeks
12.26234 .00425 (12*2π)/29324 weeks
13.30419 -.37182 (13*2π)/29323 weeks
14-.43214 -.93314 (14*2π)/29321 weeks
15.1164 .26756 (15*2π)/29320 weeks
16.10311 -.68171 (16*2π)/29318 weeks
17-.08869 -.55914 (17*2π)/29317 weeks
18.13451 -.31603 (18*2π)/29316 weeks
19-.00585 -.33101 (19*2π)/29315 weeks
20.09253 -.13197 (20*2π)/29315 weeks
21-.21711 -.50333 (21*2π)/29314 weeks
22-.0801 .14258 (22*2π)/29313 weeks
23-.1794 .00496 (23*2π)/29313 weeks
24-.01675 -.27658 (24*2π)/29312 weeks
25.14641 -.08974 (25*2π)/29312 weeks
26-.20846 -.20132 (26*2π)/29311 weeks
27-.16417 -.43178 (27*2π)/29311 weeks
28-.02101 -.05052 (28*2π)/29310 weeks
29-.05858 -.16769 (29*2π)/29310 weeks
30-.01262 -.28328 (30*2π)/29310 weeks
31.00112 -.08602 (31*2π)/2939 weeks
32.03343 .15434 (32*2π)/2939 weeks
33-.06947 -.27565 (33*2π)/2939 weeks
34.16115 .0756 (34*2π)/2939 weeks
35-.32277 -.13772 (35*2π)/2938 weeks
36-.02485 .08377 (36*2π)/2938 weeks
37.06374 -.18175 (37*2π)/2938 weeks
38-.07123 -.25196 (38*2π)/2938 weeks
39-.08892 -.14645 (39*2π)/2938 weeks
40.12938 -.17276 (40*2π)/2937 weeks
41-.23991 -.25615 (41*2π)/2937 weeks
42.14232 -.09202 (42*2π)/2937 weeks
43-.24047 -.16581 (43*2π)/2937 weeks
44.19048 -.11163 (44*2π)/2937 weeks
45-.16376 -.06645 (45*2π)/2937 weeks
46-.01909 -.11938 (46*2π)/2936 weeks
47-.0985 -.10592 (47*2π)/2936 weeks
48-.16875 .11701 (48*2π)/2936 weeks
49-.14291 -.20826 (49*2π)/2936 weeks
50-.02941 -.01252 (50*2π)/2936 weeks
51-.01668 -.13442 (51*2π)/2936 weeks
52-.1368 -.16792 (52*2π)/2936 weeks
53.05492 -.19 (53*2π)/2936 weeks
54-.24887 .04574 (54*2π)/2935 weeks
55.12975 -.00184 (55*2π)/2935 weeks
56-.0232 -.22466 (56*2π)/2935 weeks
57.11734 .02219 (57*2π)/2935 weeks
58-.15729 -.06539 (58*2π)/2935 weeks
59-.04949 -.16719 (59*2π)/2935 weeks
60-.12756 .00286 (60*2π)/2935 weeks
61-.11615 -.01727 (61*2π)/2935 weeks
62.07128 -.05636 (62*2π)/2935 weeks
63-.09111 .03784 (63*2π)/2935 weeks
64.01482 -.09746 (64*2π)/2935 weeks
65-.04338 -.16127 (65*2π)/2935 weeks
66.02767 .05489 (66*2π)/2934 weeks
67-.03525 -.20745 (67*2π)/2934 weeks
68-.11045 .11862 (68*2π)/2934 weeks
69.01877 -.07304 (69*2π)/2934 weeks
70-.22683 .03678 (70*2π)/2934 weeks
71.18268 -.04627 (71*2π)/2934 weeks
72-.14179 -.11052 (72*2π)/2934 weeks
73-.05117 .18109 (73*2π)/2934 weeks
74-.03591 -.21775 (74*2π)/2934 weeks
75.03946 .11516 (75*2π)/2934 weeks
76-.05115 -.21998 (76*2π)/2934 weeks
77-.01459 .01446 (77*2π)/2934 weeks
78-.08599 .15389 (78*2π)/2934 weeks
79-.02344 -.18281 (79*2π)/2934 weeks
80-.01603 .0228 (80*2π)/2934 weeks
81-.14349 -.14966 (81*2π)/2934 weeks
82.06836 .13925 (82*2π)/2934 weeks
83-.03426 -.08719 (83*2π)/2934 weeks
84-.01262 -.13412 (84*2π)/2933 weeks
85-.08072 .0119 (85*2π)/2933 weeks
86.02913 -.05998 (86*2π)/2933 weeks
87-.11255 -.05854 (87*2π)/2933 weeks
88.01034 .06252 (88*2π)/2933 weeks
89-.09463 -.0859 (89*2π)/2933 weeks
90.07637 -.05369 (90*2π)/2933 weeks
91-.15104 -.0955 (91*2π)/2933 weeks
92.05588 .09463 (92*2π)/2933 weeks
93-.02577 -.15345 (93*2π)/2933 weeks
94-.09934 .0035 (94*2π)/2933 weeks
95-.10218 -.12513 (95*2π)/2933 weeks
96-.14415 -.12535 (96*2π)/2933 weeks
97-.07955 .09972 (97*2π)/2933 weeks
98-.05347 -.07655 (98*2π)/2933 weeks
99-.05799 .04842 (99*2π)/2933 weeks
100-.03961 -.0016 (100*2π)/2933 weeks
101.00544 -.01052 (101*2π)/2933 weeks
102-.0054 .04916 (102*2π)/2933 weeks
103-.08025 -.03344 (103*2π)/2933 weeks
104-.10239 -.02101 (104*2π)/2933 weeks
105-.05678 .03965 (105*2π)/2933 weeks
106-.05953 -.01982 (106*2π)/2933 weeks
107-.03091 .04902 (107*2π)/2933 weeks
108-.11459 -.18558 (108*2π)/2933 weeks
109-.03488 .0706 (109*2π)/2933 weeks
110-.04991 .02861 (110*2π)/2933 weeks
111-.04512 -.09301 (111*2π)/2933 weeks
112.03495 .02425 (112*2π)/2933 weeks
113-.0894 -.03638 (113*2π)/2933 weeks
114.06862 -.0401 (114*2π)/2933 weeks
115-.04234 .03224 (115*2π)/2933 weeks
116-.11494 -.07566 (116*2π)/2933 weeks
117-.00272 .00873 (117*2π)/2933 weeks
118-.1017 -.02595 (118*2π)/2932 weeks
119.03977 -.00532 (119*2π)/2932 weeks
120-.10958 -.01584 (120*2π)/2932 weeks
121.00268 -.03525 (121*2π)/2932 weeks
122-.07973 -.07029 (122*2π)/2932 weeks
123-.02465 -.01135 (123*2π)/2932 weeks
124-.02165 -.09958 (124*2π)/2932 weeks
125-.0311 .04711 (125*2π)/2932 weeks
126-.16114 -.0053 (126*2π)/2932 weeks
127-.02706 -.02043 (127*2π)/2932 weeks
128-.09305 .06881 (128*2π)/2932 weeks
129.0616 -.01085 (129*2π)/2932 weeks
130-.18398 .0117 (130*2π)/2932 weeks
131.01192 -.04374 (131*2π)/2932 weeks
132-.13022 .10414 (132*2π)/2932 weeks
133-.03903 -.06382 (133*2π)/2932 weeks
134-.06936 .10221 (134*2π)/2932 weeks
135.04519 -.02241 (135*2π)/2932 weeks
136-.12209 -.05934 (136*2π)/2932 weeks
137-.01667 -.02601 (137*2π)/2932 weeks
138-.08124 -.00467 (138*2π)/2932 weeks
139-.08033 .06298 (139*2π)/2932 weeks
140-.05546 .00273 (140*2π)/2932 weeks
141-.02315 .02717 (141*2π)/2932 weeks
142-.01359 .0354 (142*2π)/2932 weeks
143-.07169 -.07467 (143*2π)/2932 weeks
144.07881 .02227 (144*2π)/2932 weeks
145-.15391 -.10477 (145*2π)/2932 weeks
146-.06534 -.08073 (146*2π)/2932 weeks
147-.06534 .08073 (147*2π)/2932 weeks
148-.15391 .10477 (148*2π)/2932 weeks
149.07881 -.02227 (149*2π)/2932 weeks
150-.07169 .07467 (150*2π)/2932 weeks
151-.01359 -.0354 (151*2π)/2932 weeks
152-.02315 -.02717 (152*2π)/2932 weeks
153-.05546 -.00273 (153*2π)/2932 weeks
154-.08033 -.06298 (154*2π)/2932 weeks
155-.08124 .00467 (155*2π)/2932 weeks
156-.01667 .02601 (156*2π)/2932 weeks
157-.12209 .05934 (157*2π)/2932 weeks
158.04519 .02241 (158*2π)/2932 weeks
159-.06936 -.10221 (159*2π)/2932 weeks
160-.03903 .06382 (160*2π)/2932 weeks
161-.13022 -.10414 (161*2π)/2932 weeks
162.01192 .04374 (162*2π)/2932 weeks
163-.18398 -.0117 (163*2π)/2932 weeks
164.0616 .01085 (164*2π)/2932 weeks
165-.09305 -.06881 (165*2π)/2932 weeks
166-.02706 .02043 (166*2π)/2932 weeks
167-.16114 .0053 (167*2π)/2932 weeks
168-.0311 -.04711 (168*2π)/2932 weeks
169-.02165 .09958 (169*2π)/2932 weeks
170-.02465 .01135 (170*2π)/2932 weeks
171-.07973 .07029 (171*2π)/2932 weeks
172.00268 .03525 (172*2π)/2932 weeks
173-.10958 .01584 (173*2π)/2932 weeks
174.03977 .00532 (174*2π)/2932 weeks
175-.1017 .02595 (175*2π)/2932 weeks
176-.00272 -.00873 (176*2π)/2932 weeks
177-.11494 .07566 (177*2π)/2932 weeks
178-.04234 -.03224 (178*2π)/2932 weeks
179.06862 .0401 (179*2π)/2932 weeks
180-.0894 .03638 (180*2π)/2932 weeks
181.03495 -.02425 (181*2π)/2932 weeks
182-.04512 .09301 (182*2π)/2932 weeks
183-.04991 -.02861 (183*2π)/2932 weeks
184-.03488 -.0706 (184*2π)/2932 weeks
185-.11459 .18558 (185*2π)/2932 weeks
186-.03091 -.04902 (186*2π)/2932 weeks
187-.05953 .01982 (187*2π)/2932 weeks
188-.05678 -.03965 (188*2π)/2932 weeks
189-.10239 .02101 (189*2π)/2932 weeks
190-.08025 .03344 (190*2π)/2932 weeks
191-.0054 -.04916 (191*2π)/2932 weeks
192.00544 .01052 (192*2π)/2932 weeks
193-.03961 .0016 (193*2π)/2932 weeks
194-.05799 -.04842 (194*2π)/2932 weeks
195-.05347 .07655 (195*2π)/2932 weeks
196-.07955 -.09972 (196*2π)/2931 weeks
197-.14415 .12535 (197*2π)/2931 weeks
198-.10218 .12513 (198*2π)/2931 weeks
199-.09934 -.0035 (199*2π)/2931 weeks
200-.02577 .15345 (200*2π)/2931 weeks
201.05588 -.09463 (201*2π)/2931 weeks
202-.15104 .0955 (202*2π)/2931 weeks
203.07637 .05369 (203*2π)/2931 weeks
204-.09463 .0859 (204*2π)/2931 weeks
205.01034 -.06252 (205*2π)/2931 weeks
206-.11255 .05854 (206*2π)/2931 weeks
207.02913 .05998 (207*2π)/2931 weeks
208-.08072 -.0119 (208*2π)/2931 weeks
209-.01262 .13412 (209*2π)/2931 weeks
210-.03426 .08719 (210*2π)/2931 weeks
211.06836 -.13925 (211*2π)/2931 weeks
212-.14349 .14966 (212*2π)/2931 weeks
213-.01603 -.0228 (213*2π)/2931 weeks
214-.02344 .18281 (214*2π)/2931 weeks
215-.08599 -.15389 (215*2π)/2931 weeks
216-.01459 -.01446 (216*2π)/2931 weeks
217-.05115 .21998 (217*2π)/2931 weeks
218.03946 -.11516 (218*2π)/2931 weeks
219-.03591 .21775 (219*2π)/2931 weeks
220-.05117 -.18109 (220*2π)/2931 weeks
221-.14179 .11052 (221*2π)/2931 weeks
222.18268 .04627 (222*2π)/2931 weeks
223-.22683 -.03678 (223*2π)/2931 weeks
224.01877 .07304 (224*2π)/2931 weeks
225-.11045 -.11862 (225*2π)/2931 weeks
226-.03525 .20745 (226*2π)/2931 weeks
227.02767 -.05489 (227*2π)/2931 weeks
228-.04338 .16127 (228*2π)/2931 weeks
229.01482 .09746 (229*2π)/2931 weeks
230-.09111 -.03784 (230*2π)/2931 weeks
231.07128 .05636 (231*2π)/2931 weeks
232-.11615 .01727 (232*2π)/2931 weeks
233-.12756 -.00286 (233*2π)/2931 weeks
234-.04949 .16719 (234*2π)/2931 weeks
235-.15729 .06539 (235*2π)/2931 weeks
236.11734 -.02219 (236*2π)/2931 weeks
237-.0232 .22466 (237*2π)/2931 weeks
238.12975 .00184 (238*2π)/2931 weeks
239-.24887 -.04574 (239*2π)/2931 weeks
240.05492 .19 (240*2π)/2931 weeks
241-.1368 .16792 (241*2π)/2931 weeks
242-.01668 .13442 (242*2π)/2931 weeks
243-.02941 .01252 (243*2π)/2931 weeks
244-.14291 .20826 (244*2π)/2931 weeks
245-.16875 -.11701 (245*2π)/2931 weeks
246-.0985 .10592 (246*2π)/2931 weeks
247-.01909 .11938 (247*2π)/2931 weeks
248-.16376 .06645 (248*2π)/2931 weeks
249.19048 .11163 (249*2π)/2931 weeks
250-.24047 .16581 (250*2π)/2931 weeks
251.14232 .09202 (251*2π)/2931 weeks
252-.23991 .25615 (252*2π)/2931 weeks
253.12938 .17276 (253*2π)/2931 weeks
254-.08892 .14645 (254*2π)/2931 weeks
255-.07123 .25196 (255*2π)/2931 weeks
256.06374 .18175 (256*2π)/2931 weeks
257-.02485 -.08377 (257*2π)/2931 weeks
258-.32277 .13772 (258*2π)/2931 weeks
259.16115 -.0756 (259*2π)/2931 weeks
260-.06947 .27565 (260*2π)/2931 weeks
261.03343 -.15434 (261*2π)/2931 weeks
262.00112 .08602 (262*2π)/2931 weeks
263-.01262 .28328 (263*2π)/2931 weeks
264-.05858 .16769 (264*2π)/2931 weeks
265-.02101 .05052 (265*2π)/2931 weeks
266-.16417 .43178 (266*2π)/2931 weeks
267-.20846 .20132 (267*2π)/2931 weeks
268.14641 .08974 (268*2π)/2931 weeks
269-.01675 .27658 (269*2π)/2931 weeks
270-.1794 -.00496 (270*2π)/2931 weeks
271-.0801 -.14258 (271*2π)/2931 weeks
272-.21711 .50333 (272*2π)/2931 weeks
273.09253 .13197 (273*2π)/2931 weeks
274-.00585 .33101 (274*2π)/2931 weeks
275.13451 .31603 (275*2π)/2931 weeks
276-.08869 .55914 (276*2π)/2931 weeks
277.10311 .68171 (277*2π)/2931 weeks
278.1164 -.26756 (278*2π)/2931 weeks
279-.43214 .93314 (279*2π)/2931 weeks
280.30419 .37182 (280*2π)/2931 weeks
281.26234 -.00425 (281*2π)/2931 weeks
282-.04209 .19594 (282*2π)/2931 weeks
283-.34958 .21418 (283*2π)/2931 weeks
284.3911 .53446 (284*2π)/2931 weeks
285-.14489 1.24453 (285*2π)/2931 weeks
286-.74418 .13276 (286*2π)/2931 weeks
287-.25589 1.75231 (287*2π)/2931 weeks
288-.53137 .47473 (288*2π)/2931 weeks
289.00012 .91699 (289*2π)/2931 weeks
290-1.71166 -.06817 (290*2π)/2931 weeks
291.60829 4.17325 (291*2π)/2931 weeks