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# Fourier Analysis of ALDW (Alon USA Partners LP)

ALDW (Alon USA Partners LP) appears to have interesting cyclic behaviour every 27 weeks (.5097*sine), 23 weeks (.4684*cosine), and 21 weeks (.4393*cosine).

ALDW (Alon USA Partners LP) has an average price of 12.57 (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 11/20/2012 to 3/23/2018 for ALDW (Alon USA Partners LP), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
012.56665   0
1-1.27869 .96596 (1*2π)/274274 weeks
23.81011 .84928 (2*2π)/274137 weeks
3-.14013 -1.00418 (3*2π)/27491 weeks
4.69945 1.73785 (4*2π)/27469 weeks
5-.39507 -.91606 (5*2π)/27455 weeks
6-.3744 -.10758 (6*2π)/27446 weeks
7.27435 -.42612 (7*2π)/27439 weeks
8-.35803 -.80285 (8*2π)/27434 weeks
9.36765 -.0701 (9*2π)/27430 weeks
10-.00997 -.50974 (10*2π)/27427 weeks
11-.07929 -.15501 (11*2π)/27425 weeks
12-.46845 -.00206 (12*2π)/27423 weeks
13-.43928 -.436 (13*2π)/27421 weeks
14.11508 -.04362 (14*2π)/27420 weeks
15-.12288 -.42053 (15*2π)/27418 weeks
16-.24201 -.03934 (16*2π)/27417 weeks
17-.00219 -.09201 (17*2π)/27416 weeks
18-.17252 -.34079 (18*2π)/27415 weeks
19.14728 .08711 (19*2π)/27414 weeks
20-.03785 -.09934 (20*2π)/27414 weeks
21.14969 .04127 (21*2π)/27413 weeks
22.04525 .11949 (22*2π)/27412 weeks
23-.05888 -.29427 (23*2π)/27412 weeks
24-.00871 .20018 (24*2π)/27411 weeks
25-.03727 .09552 (25*2π)/27411 weeks
26-.25823 -.08307 (26*2π)/27411 weeks
27-.12124 .14012 (27*2π)/27410 weeks
28.04401 -.12271 (28*2π)/27410 weeks
29-.23465 -.14706 (29*2π)/2749 weeks
30.06397 .05085 (30*2π)/2749 weeks
31-.30384 -.02331 (31*2π)/2749 weeks
32-.09885 .1233 (32*2π)/2749 weeks
33-.17218 -.07667 (33*2π)/2748 weeks
34-.10904 .01091 (34*2π)/2748 weeks
35.01695 .03251 (35*2π)/2748 weeks
36-.01421 -.16186 (36*2π)/2748 weeks
37-.12372 .0108 (37*2π)/2747 weeks
38.04074 -.04335 (38*2π)/2747 weeks
39.00147 -.07623 (39*2π)/2747 weeks
40-.00466 -.02412 (40*2π)/2747 weeks
41-.02229 .04226 (41*2π)/2747 weeks
42-.0481 -.0354 (42*2π)/2747 weeks
43-.0498 .00696 (43*2π)/2746 weeks
44.01869 -.19045 (44*2π)/2746 weeks
45-.07967 -.03031 (45*2π)/2746 weeks
46.1012 -.09571 (46*2π)/2746 weeks
47.10287 -.17025 (47*2π)/2746 weeks
48.01926 .12833 (48*2π)/2746 weeks
49-.04818 -.04377 (49*2π)/2746 weeks
50-.11835 -.08339 (50*2π)/2745 weeks
51-.04429 -.07299 (51*2π)/2745 weeks
52-.01144 -.14362 (52*2π)/2745 weeks
53.01796 .14578 (53*2π)/2745 weeks
54.02137 -.11514 (54*2π)/2745 weeks
55-.04087 -.00036 (55*2π)/2745 weeks
56-.02296 -.01874 (56*2π)/2745 weeks
57.06634 -.14811 (57*2π)/2745 weeks
58-.09432 -.03084 (58*2π)/2745 weeks
59.04353 -.09884 (59*2π)/2745 weeks
60-.08148 .01599 (60*2π)/2745 weeks
61-.04761 -.08164 (61*2π)/2744 weeks
62.06393 -.09918 (62*2π)/2744 weeks
63-.02376 .04183 (63*2π)/2744 weeks
64.04095 -.02483 (64*2π)/2744 weeks
65-.05429 .03871 (65*2π)/2744 weeks
66-.00201 .02476 (66*2π)/2744 weeks
67-.0075 -.08645 (67*2π)/2744 weeks
68.02935 .00394 (68*2π)/2744 weeks
69-.02471 -.13616 (69*2π)/2744 weeks
70.00398 .04113 (70*2π)/2744 weeks
71-.06835 -.05266 (71*2π)/2744 weeks
72-.09482 -.03692 (72*2π)/2744 weeks
73-.03112 -.02074 (73*2π)/2744 weeks
74.03368 .01041 (74*2π)/2744 weeks
75-.01273 -.03818 (75*2π)/2744 weeks
76.02782 -.02111 (76*2π)/2744 weeks
77-.07803 -.00914 (77*2π)/2744 weeks
78-.04207 .01317 (78*2π)/2744 weeks
79-.0025 -.05532 (79*2π)/2743 weeks
80-.06808 -.01681 (80*2π)/2743 weeks
81-.02257 .00054 (81*2π)/2743 weeks
82-.04799 .00841 (82*2π)/2743 weeks
83-.02136 -.08413 (83*2π)/2743 weeks
84-.05338 .06357 (84*2π)/2743 weeks
85-.07459 -.05182 (85*2π)/2743 weeks
86-.05148 .03818 (86*2π)/2743 weeks
87.01528 -.09116 (87*2π)/2743 weeks
88-.06786 -.07315 (88*2π)/2743 weeks
89.034 -.00785 (89*2π)/2743 weeks
90-.03826 -.04179 (90*2π)/2743 weeks
91.00173 -.03041 (91*2π)/2743 weeks
92-.04785 -.02147 (92*2π)/2743 weeks
93-.01603 .04603 (93*2π)/2743 weeks
94-.02532 -.00295 (94*2π)/2743 weeks
95-.01494 -.02741 (95*2π)/2743 weeks
96-.0664 -.02317 (96*2π)/2743 weeks
97.0344 .00209 (97*2π)/2743 weeks
98-.05405 .01897 (98*2π)/2743 weeks
99-.01166 .04049 (99*2π)/2743 weeks
100-.087 -.00415 (100*2π)/2743 weeks
101-.02109 -.00027 (101*2π)/2743 weeks
102-.0727 -.01938 (102*2π)/2743 weeks
103-.06112 -.03151 (103*2π)/2743 weeks
104-.01549 -.08614 (104*2π)/2743 weeks
105-.01987 -.00234 (105*2π)/2743 weeks
106.01294 -.02818 (106*2π)/2743 weeks
107.01106 .06832 (107*2π)/2743 weeks
108.01548 .00713 (108*2π)/2743 weeks
109-.02071 .041 (109*2π)/2743 weeks
110-.08308 -.00722 (110*2π)/2742 weeks
111.00525 .0256 (111*2π)/2742 weeks
112-.07245 .03341 (112*2π)/2742 weeks
113-.03512 -.00996 (113*2π)/2742 weeks
114-.05305 -.02417 (114*2π)/2742 weeks
115-.0819 -.01874 (115*2π)/2742 weeks
116-.00373 -.03667 (116*2π)/2742 weeks
117-.08166 -.01523 (117*2π)/2742 weeks
118.01118 -.00148 (118*2π)/2742 weeks
119-.045 -.02559 (119*2π)/2742 weeks
120.00646 -.01104 (120*2π)/2742 weeks
121.02921 -.0236 (121*2π)/2742 weeks
122.01567 -.02785 (122*2π)/2742 weeks
123-.00697 -.09369 (123*2π)/2742 weeks
124.05161 .02163 (124*2π)/2742 weeks
125-.01712 .02486 (125*2π)/2742 weeks
126-.02505 -.01776 (126*2π)/2742 weeks
127.00703 -.00697 (127*2π)/2742 weeks
128-.02601 .02813 (128*2π)/2742 weeks
129-.00101 -.01403 (129*2π)/2742 weeks
130-.0471 .04087 (130*2π)/2742 weeks
131-.04221 -.06633 (131*2π)/2742 weeks
132-.03429 -.02987 (132*2π)/2742 weeks
133.06302 -.02404 (133*2π)/2742 weeks
134.03564 -.04238 (134*2π)/2742 weeks
135.023 .00044 (135*2π)/2742 weeks
136-.09469 .04308 (136*2π)/2742 weeks
137.00688   (137*2π)/2742 weeks
138-.09469 -.04308 (138*2π)/2742 weeks
139.023 -.00044 (139*2π)/2742 weeks
140.03564 .04238 (140*2π)/2742 weeks
141.06302 .02404 (141*2π)/2742 weeks
142-.03429 .02987 (142*2π)/2742 weeks
143-.04221 .06633 (143*2π)/2742 weeks
144-.0471 -.04087 (144*2π)/2742 weeks
145-.00101 .01403 (145*2π)/2742 weeks
146-.02601 -.02813 (146*2π)/2742 weeks
147.00703 .00697 (147*2π)/2742 weeks
148-.02505 .01776 (148*2π)/2742 weeks
149-.01712 -.02486 (149*2π)/2742 weeks
150.05161 -.02163 (150*2π)/2742 weeks
151-.00697 .09369 (151*2π)/2742 weeks
152.01567 .02785 (152*2π)/2742 weeks
153.02921 .0236 (153*2π)/2742 weeks
154.00646 .01104 (154*2π)/2742 weeks
155-.045 .02559 (155*2π)/2742 weeks
156.01118 .00148 (156*2π)/2742 weeks
157-.08166 .01523 (157*2π)/2742 weeks
158-.00373 .03667 (158*2π)/2742 weeks
159-.0819 .01874 (159*2π)/2742 weeks
160-.05305 .02417 (160*2π)/2742 weeks
161-.03512 .00996 (161*2π)/2742 weeks
162-.07245 -.03341 (162*2π)/2742 weeks
163.00525 -.0256 (163*2π)/2742 weeks
164-.08308 .00722 (164*2π)/2742 weeks
165-.02071 -.041 (165*2π)/2742 weeks
166.01548 -.00713 (166*2π)/2742 weeks
167.01106 -.06832 (167*2π)/2742 weeks
168.01294 .02818 (168*2π)/2742 weeks
169-.01987 .00234 (169*2π)/2742 weeks
170-.01549 .08614 (170*2π)/2742 weeks
171-.06112 .03151 (171*2π)/2742 weeks
172-.0727 .01938 (172*2π)/2742 weeks
173-.02109 .00027 (173*2π)/2742 weeks
174-.087 .00415 (174*2π)/2742 weeks
175-.01166 -.04049 (175*2π)/2742 weeks
176-.05405 -.01897 (176*2π)/2742 weeks
177.0344 -.00209 (177*2π)/2742 weeks
178-.0664 .02317 (178*2π)/2742 weeks
179-.01494 .02741 (179*2π)/2742 weeks
180-.02532 .00295 (180*2π)/2742 weeks
181-.01603 -.04603 (181*2π)/2742 weeks
182-.04785 .02147 (182*2π)/2742 weeks
183.00173 .03041 (183*2π)/2741 weeks
184-.03826 .04179 (184*2π)/2741 weeks
185.034 .00785 (185*2π)/2741 weeks
186-.06786 .07315 (186*2π)/2741 weeks
187.01528 .09116 (187*2π)/2741 weeks
188-.05148 -.03818 (188*2π)/2741 weeks
189-.07459 .05182 (189*2π)/2741 weeks
190-.05338 -.06357 (190*2π)/2741 weeks
191-.02136 .08413 (191*2π)/2741 weeks
192-.04799 -.00841 (192*2π)/2741 weeks
193-.02257 -.00054 (193*2π)/2741 weeks
194-.06808 .01681 (194*2π)/2741 weeks
195-.0025 .05532 (195*2π)/2741 weeks
196-.04207 -.01317 (196*2π)/2741 weeks
197-.07803 .00914 (197*2π)/2741 weeks
198.02782 .02111 (198*2π)/2741 weeks
199-.01273 .03818 (199*2π)/2741 weeks
200.03368 -.01041 (200*2π)/2741 weeks
201-.03112 .02074 (201*2π)/2741 weeks
202-.09482 .03692 (202*2π)/2741 weeks
203-.06835 .05266 (203*2π)/2741 weeks
204.00398 -.04113 (204*2π)/2741 weeks
205-.02471 .13616 (205*2π)/2741 weeks
206.02935 -.00394 (206*2π)/2741 weeks
207-.0075 .08645 (207*2π)/2741 weeks
208-.00201 -.02476 (208*2π)/2741 weeks
209-.05429 -.03871 (209*2π)/2741 weeks
210.04095 .02483 (210*2π)/2741 weeks
211-.02376 -.04183 (211*2π)/2741 weeks
212.06393 .09918 (212*2π)/2741 weeks
213-.04761 .08164 (213*2π)/2741 weeks
214-.08148 -.01599 (214*2π)/2741 weeks
215.04353 .09884 (215*2π)/2741 weeks
216-.09432 .03084 (216*2π)/2741 weeks
217.06634 .14811 (217*2π)/2741 weeks
218-.02296 .01874 (218*2π)/2741 weeks
219-.04087 .00036 (219*2π)/2741 weeks
220.02137 .11514 (220*2π)/2741 weeks
221.01796 -.14578 (221*2π)/2741 weeks
222-.01144 .14362 (222*2π)/2741 weeks
223-.04429 .07299 (223*2π)/2741 weeks
224-.11835 .08339 (224*2π)/2741 weeks
225-.04818 .04377 (225*2π)/2741 weeks
226.01926 -.12833 (226*2π)/2741 weeks
227.10287 .17025 (227*2π)/2741 weeks
228.1012 .09571 (228*2π)/2741 weeks
229-.07967 .03031 (229*2π)/2741 weeks
230.01869 .19045 (230*2π)/2741 weeks
231-.0498 -.00696 (231*2π)/2741 weeks
232-.0481 .0354 (232*2π)/2741 weeks
233-.02229 -.04226 (233*2π)/2741 weeks
234-.00466 .02412 (234*2π)/2741 weeks
235.00147 .07623 (235*2π)/2741 weeks
236.04074 .04335 (236*2π)/2741 weeks
237-.12372 -.0108 (237*2π)/2741 weeks
238-.01421 .16186 (238*2π)/2741 weeks
239.01695 -.03251 (239*2π)/2741 weeks
240-.10904 -.01091 (240*2π)/2741 weeks
241-.17218 .07667 (241*2π)/2741 weeks
242-.09885 -.1233 (242*2π)/2741 weeks
243-.30384 .02331 (243*2π)/2741 weeks
244.06397 -.05085 (244*2π)/2741 weeks
245-.23465 .14706 (245*2π)/2741 weeks
246.04401 .12271 (246*2π)/2741 weeks
247-.12124 -.14012 (247*2π)/2741 weeks
248-.25823 .08307 (248*2π)/2741 weeks
249-.03727 -.09552 (249*2π)/2741 weeks
250-.00871 -.20018 (250*2π)/2741 weeks
251-.05888 .29427 (251*2π)/2741 weeks
252.04525 -.11949 (252*2π)/2741 weeks
253.14969 -.04127 (253*2π)/2741 weeks
254-.03785 .09934 (254*2π)/2741 weeks
255.14728 -.08711 (255*2π)/2741 weeks
256-.17252 .34079 (256*2π)/2741 weeks
257-.00219 .09201 (257*2π)/2741 weeks
258-.24201 .03934 (258*2π)/2741 weeks
259-.12288 .42053 (259*2π)/2741 weeks
260.11508 .04362 (260*2π)/2741 weeks
261-.43928 .436 (261*2π)/2741 weeks
262-.46845 .00206 (262*2π)/2741 weeks
263-.07929 .15501 (263*2π)/2741 weeks
264-.00997 .50974 (264*2π)/2741 weeks
265.36765 .0701 (265*2π)/2741 weeks
266-.35803 .80285 (266*2π)/2741 weeks
267.27435 .42612 (267*2π)/2741 weeks
268-.3744 .10758 (268*2π)/2741 weeks
269-.39507 .91606 (269*2π)/2741 weeks
270.69945 -1.73785 (270*2π)/2741 weeks
271-.14013 1.00418 (271*2π)/2741 weeks
2723.81011 -.84928 (272*2π)/2741 weeks