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# Fourier Analysis of VLP (Valero Energy Partners LP)

VLP (Valero Energy Partners LP) appears to have interesting cyclic behaviour every 10 weeks (.7491*sine), 13 weeks (.6736*sine), and 11 weeks (.6135*cosine).

VLP (Valero Energy Partners LP) has an average price of 41.66 (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 12/11/2013 to 4/16/2018 for VLP (Valero Energy Partners LP), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
041.65928   0
1-2.56903 -.27586 (1*2π)/228228 weeks
2-2.21786 -2.0843 (2*2π)/228114 weeks
3-1.48582 .14238 (3*2π)/22876 weeks
4-.53539 -.15855 (4*2π)/22857 weeks
5-1.55968 -2.33647 (5*2π)/22846 weeks
6-.57764 -1.14076 (6*2π)/22838 weeks
7.41015 -.06296 (7*2π)/22833 weeks
8-.55512 -.04748 (8*2π)/22829 weeks
9-.9111 -.30018 (9*2π)/22825 weeks
10-.54099 .14794 (10*2π)/22823 weeks
11.40348 -.07647 (11*2π)/22821 weeks
12-.39936 .12794 (12*2π)/22819 weeks
13-.4333 -.04246 (13*2π)/22818 weeks
14.37051 -.19856 (14*2π)/22816 weeks
15.36201 -.17067 (15*2π)/22815 weeks
16-.3951 .22886 (16*2π)/22814 weeks
17.45791 -.67357 (17*2π)/22813 weeks
18.32106 -.45028 (18*2π)/22813 weeks
19.10075 -.07754 (19*2π)/22812 weeks
20-.61351 -.07524 (20*2π)/22811 weeks
21-.20572 -.28331 (21*2π)/22811 weeks
22-.16838 -.52196 (22*2π)/22810 weeks
23.61094 -.74907 (23*2π)/22810 weeks
24-.01613 .33985 (24*2π)/22810 weeks
25.02246 -.3329 (25*2π)/2289 weeks
26-.0273 .56261 (26*2π)/2289 weeks
27-.48732 -.25269 (27*2π)/2288 weeks
28.02384 -.02731 (28*2π)/2288 weeks
29-.08187 -.32755 (29*2π)/2288 weeks
30.02116 -.43457 (30*2π)/2288 weeks
31.21561 -.084 (31*2π)/2287 weeks
32-.00043 -.05441 (32*2π)/2287 weeks
33.16959 -.01132 (33*2π)/2287 weeks
34-.04029 -.22417 (34*2π)/2287 weeks
35-.35896 -.15066 (35*2π)/2287 weeks
36-.26187 -.39586 (36*2π)/2286 weeks
37.02275 -.37925 (37*2π)/2286 weeks
38.16976 -.25436 (38*2π)/2286 weeks
39.00549 .17523 (39*2π)/2286 weeks
40-.2082 -.25216 (40*2π)/2286 weeks
41-.02955 -.18132 (41*2π)/2286 weeks
42-.17383 -.31452 (42*2π)/2285 weeks
43.04147 .01196 (43*2π)/2285 weeks
44-.46828 -.05891 (44*2π)/2285 weeks
45-.08293 -.28738 (45*2π)/2285 weeks
46-.04528 .01118 (46*2π)/2285 weeks
47-.01532 -.22227 (47*2π)/2285 weeks
48.05475 .13464 (48*2π)/2285 weeks
49-.15527 -.12257 (49*2π)/2285 weeks
50-.056 -.18014 (50*2π)/2285 weeks
51-.07854 .1064 (51*2π)/2284 weeks
52-.26747 .13513 (52*2π)/2284 weeks
53.09305 -.19629 (53*2π)/2284 weeks
54-.18651 -.04275 (54*2π)/2284 weeks
55.04457 -.18886 (55*2π)/2284 weeks
56-.18088 -.02729 (56*2π)/2284 weeks
57-.24519 -.14593 (57*2π)/2284 weeks
58-.02261 .03195 (58*2π)/2284 weeks
59-.37431 -.01751 (59*2π)/2284 weeks
60-.10132 -.14773 (60*2π)/2284 weeks
61-.10263 -.11596 (61*2π)/2284 weeks
62.11887 -.19092 (62*2π)/2284 weeks
63-.14075 .08387 (63*2π)/2284 weeks
64-.10143 -.17008 (64*2π)/2284 weeks
65.02598 -.07629 (65*2π)/2284 weeks
66-.10832 -.1138 (66*2π)/2283 weeks
67-.1159 -.04314 (67*2π)/2283 weeks
68-.16176 -.0722 (68*2π)/2283 weeks
69-.03118 -.17437 (69*2π)/2283 weeks
70-.01637 .06214 (70*2π)/2283 weeks
71-.13505 -.04966 (71*2π)/2283 weeks
72.12659 -.11036 (72*2π)/2283 weeks
73-.04546 -.06441 (73*2π)/2283 weeks
74.01514 -.02971 (74*2π)/2283 weeks
75-.04113 -.21855 (75*2π)/2283 weeks
76-.04222 .0653 (76*2π)/2283 weeks
77-.10508 -.01386 (77*2π)/2283 weeks
78-.03482 -.0114 (78*2π)/2283 weeks
79-.06095 -.03761 (79*2π)/2283 weeks
80-.09287 .05642 (80*2π)/2283 weeks
81-.18198 -.11797 (81*2π)/2283 weeks
82-.26991 .06508 (82*2π)/2283 weeks
83-.0779 -.08524 (83*2π)/2283 weeks
84-.03911 -.14291 (84*2π)/2283 weeks
85-.01656 -.05288 (85*2π)/2283 weeks
86-.1039 -.02912 (86*2π)/2283 weeks
87.00003 .07327 (87*2π)/2283 weeks
88-.2293 -.06405 (88*2π)/2283 weeks
89.0767 -.06521 (89*2π)/2283 weeks
90-.20689 .06055 (90*2π)/2283 weeks
91.00975 -.11495 (91*2π)/2283 weeks
92-.06792 -.02504 (92*2π)/2282 weeks
93-.03962 -.1303 (93*2π)/2282 weeks
94.01514 -.00085 (94*2π)/2282 weeks
95-.03364 .08503 (95*2π)/2282 weeks
96-.22275 -.00117 (96*2π)/2282 weeks
97-.02639 -.05593 (97*2π)/2282 weeks
98.03561 .03082 (98*2π)/2282 weeks
99-.02559 -.01025 (99*2π)/2282 weeks
100-.07809 .08865 (100*2π)/2282 weeks
101-.26839 -.09658 (101*2π)/2282 weeks
102.07443 -.08601 (102*2π)/2282 weeks
103.00671 .11235 (103*2π)/2282 weeks
104-.01015 .15762 (104*2π)/2282 weeks
105-.21356 .14666 (105*2π)/2282 weeks
106-.16772 -.10867 (106*2π)/2282 weeks
107-.11617 -.03098 (107*2π)/2282 weeks
108.01937 -.00124 (108*2π)/2282 weeks
109-.18589 -.01523 (109*2π)/2282 weeks
110.01658 -.04514 (110*2π)/2282 weeks
111-.0151 -.16613 (111*2π)/2282 weeks
112.0056 .09815 (112*2π)/2282 weeks
113-.11061 -.00161 (113*2π)/2282 weeks
114-.05657   (114*2π)/2282 weeks
115-.11061 .00161 (115*2π)/2282 weeks
116.0056 -.09815 (116*2π)/2282 weeks
117-.0151 .16613 (117*2π)/2282 weeks
118.01658 .04514 (118*2π)/2282 weeks
119-.18589 .01523 (119*2π)/2282 weeks
120.01937 .00124 (120*2π)/2282 weeks
121-.11617 .03098 (121*2π)/2282 weeks
122-.16772 .10867 (122*2π)/2282 weeks
123-.21356 -.14666 (123*2π)/2282 weeks
124-.01015 -.15762 (124*2π)/2282 weeks
125.00671 -.11235 (125*2π)/2282 weeks
126.07443 .08601 (126*2π)/2282 weeks
127-.26839 .09658 (127*2π)/2282 weeks
128-.07809 -.08865 (128*2π)/2282 weeks
129-.02559 .01025 (129*2π)/2282 weeks
130.03561 -.03082 (130*2π)/2282 weeks
131-.02639 .05593 (131*2π)/2282 weeks
132-.22275 .00117 (132*2π)/2282 weeks
133-.03364 -.08503 (133*2π)/2282 weeks
134.01514 .00085 (134*2π)/2282 weeks
135-.03962 .1303 (135*2π)/2282 weeks
136-.06792 .02504 (136*2π)/2282 weeks
137.00975 .11495 (137*2π)/2282 weeks
138-.20689 -.06055 (138*2π)/2282 weeks
139.0767 .06521 (139*2π)/2282 weeks
140-.2293 .06405 (140*2π)/2282 weeks
141.00003 -.07327 (141*2π)/2282 weeks
142-.1039 .02912 (142*2π)/2282 weeks
143-.01656 .05288 (143*2π)/2282 weeks
144-.03911 .14291 (144*2π)/2282 weeks
145-.0779 .08524 (145*2π)/2282 weeks
146-.26991 -.06508 (146*2π)/2282 weeks
147-.18198 .11797 (147*2π)/2282 weeks
148-.09287 -.05642 (148*2π)/2282 weeks
149-.06095 .03761 (149*2π)/2282 weeks
150-.03482 .0114 (150*2π)/2282 weeks
151-.10508 .01386 (151*2π)/2282 weeks
152-.04222 -.0653 (152*2π)/2282 weeks
153-.04113 .21855 (153*2π)/2281 weeks
154.01514 .02971 (154*2π)/2281 weeks
155-.04546 .06441 (155*2π)/2281 weeks
156.12659 .11036 (156*2π)/2281 weeks
157-.13505 .04966 (157*2π)/2281 weeks
158-.01637 -.06214 (158*2π)/2281 weeks
159-.03118 .17437 (159*2π)/2281 weeks
160-.16176 .0722 (160*2π)/2281 weeks
161-.1159 .04314 (161*2π)/2281 weeks
162-.10832 .1138 (162*2π)/2281 weeks
163.02598 .07629 (163*2π)/2281 weeks
164-.10143 .17008 (164*2π)/2281 weeks
165-.14075 -.08387 (165*2π)/2281 weeks
166.11887 .19092 (166*2π)/2281 weeks
167-.10263 .11596 (167*2π)/2281 weeks
168-.10132 .14773 (168*2π)/2281 weeks
169-.37431 .01751 (169*2π)/2281 weeks
170-.02261 -.03195 (170*2π)/2281 weeks
171-.24519 .14593 (171*2π)/2281 weeks
172-.18088 .02729 (172*2π)/2281 weeks
173.04457 .18886 (173*2π)/2281 weeks
174-.18651 .04275 (174*2π)/2281 weeks
175.09305 .19629 (175*2π)/2281 weeks
176-.26747 -.13513 (176*2π)/2281 weeks
177-.07854 -.1064 (177*2π)/2281 weeks
178-.056 .18014 (178*2π)/2281 weeks
179-.15527 .12257 (179*2π)/2281 weeks
180.05475 -.13464 (180*2π)/2281 weeks
181-.01532 .22227 (181*2π)/2281 weeks
182-.04528 -.01118 (182*2π)/2281 weeks
183-.08293 .28738 (183*2π)/2281 weeks
184-.46828 .05891 (184*2π)/2281 weeks
185.04147 -.01196 (185*2π)/2281 weeks
186-.17383 .31452 (186*2π)/2281 weeks
187-.02955 .18132 (187*2π)/2281 weeks
188-.2082 .25216 (188*2π)/2281 weeks
189.00549 -.17523 (189*2π)/2281 weeks
190.16976 .25436 (190*2π)/2281 weeks
191.02275 .37925 (191*2π)/2281 weeks
192-.26187 .39586 (192*2π)/2281 weeks
193-.35896 .15066 (193*2π)/2281 weeks
194-.04029 .22417 (194*2π)/2281 weeks
195.16959 .01132 (195*2π)/2281 weeks
196-.00043 .05441 (196*2π)/2281 weeks
197.21561 .084 (197*2π)/2281 weeks
198.02116 .43457 (198*2π)/2281 weeks
199-.08187 .32755 (199*2π)/2281 weeks
200.02384 .02731 (200*2π)/2281 weeks
201-.48732 .25269 (201*2π)/2281 weeks
202-.0273 -.56261 (202*2π)/2281 weeks
203.02246 .3329 (203*2π)/2281 weeks
204-.01613 -.33985 (204*2π)/2281 weeks
205.61094 .74907 (205*2π)/2281 weeks
206-.16838 .52196 (206*2π)/2281 weeks
207-.20572 .28331 (207*2π)/2281 weeks
208-.61351 .07524 (208*2π)/2281 weeks
209.10075 .07754 (209*2π)/2281 weeks
210.32106 .45028 (210*2π)/2281 weeks
211.45791 .67357 (211*2π)/2281 weeks
212-.3951 -.22886 (212*2π)/2281 weeks
213.36201 .17067 (213*2π)/2281 weeks
214.37051 .19856 (214*2π)/2281 weeks
215-.4333 .04246 (215*2π)/2281 weeks
216-.39936 -.12794 (216*2π)/2281 weeks
217.40348 .07647 (217*2π)/2281 weeks
218-.54099 -.14794 (218*2π)/2281 weeks
219-.9111 .30018 (219*2π)/2281 weeks
220-.55512 .04748 (220*2π)/2281 weeks
221.41015 .06296 (221*2π)/2281 weeks
222-.57764 1.14076 (222*2π)/2281 weeks
223-1.55968 2.33647 (223*2π)/2281 weeks
224-.53539 .15855 (224*2π)/2281 weeks
225-1.48582 -.14238 (225*2π)/2281 weeks
226-2.21786 2.0843 (226*2π)/2281 weeks