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# Fourier Analysis of EMES (Emerge Energy Services LP)

EMES (Emerge Energy Services LP) appears to have interesting cyclic behaviour every 22 weeks (1.495*sine), 11 weeks (1.4874*sine), and 20 weeks (1.2622*cosine).

EMES (Emerge Energy Services LP) has an average price of 28.13 (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 5/9/2013 to 4/23/2018 for EMES (Emerge Energy Services LP), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
028.13016   0
1-.42937 31.07885 (1*2π)/260260 weeks
2-20.83306 -1.8423 (2*2π)/260130 weeks
32.46565 -6.02502 (3*2π)/26087 weeks
45.3965 -.26928 (4*2π)/26065 weeks
5.95087 5.61613 (5*2π)/26052 weeks
6-5.7976 .27898 (6*2π)/26043 weeks
7-.15914 -3.32431 (7*2π)/26037 weeks
82.09281 1.54174 (8*2π)/26033 weeks
9-.37106 .85906 (9*2π)/26029 weeks
10-.75563 -.60079 (10*2π)/26026 weeks
11.97338 .19137 (11*2π)/26024 weeks
12.07171 1.49499 (12*2π)/26022 weeks
13-1.26222 -.41797 (13*2π)/26020 weeks
14.2884 -.80577 (14*2π)/26019 weeks
15.34333 .8201 (15*2π)/26017 weeks
16.46063 .67999 (16*2π)/26016 weeks
17-.21377 -.10188 (17*2π)/26015 weeks
18-.43012 -.22473 (18*2π)/26014 weeks
19.89716 .19066 (19*2π)/26014 weeks
20-.25183 .66796 (20*2π)/26013 weeks
21-.08692 -.19307 (21*2π)/26012 weeks
22-.0057 -.5043 (22*2π)/26012 weeks
23.5952 .37065 (23*2π)/26011 weeks
24-.10504 1.48736 (24*2π)/26011 weeks
25-1.04331 -.79067 (25*2π)/26010 weeks
26.42157 -.66623 (26*2π)/26010 weeks
27.26355 .38365 (27*2π)/26010 weeks
28-.34582 .27617 (28*2π)/2609 weeks
29.00032 -.13514 (29*2π)/2609 weeks
30.34772 -.06784 (30*2π)/2609 weeks
31-.14187 .74044 (31*2π)/2608 weeks
32-.21038 -.02815 (32*2π)/2608 weeks
33.68375 -.60035 (33*2π)/2608 weeks
34.23726 .77795 (34*2π)/2608 weeks
35-.73761 .27094 (35*2π)/2607 weeks
36-.01044 -.52624 (36*2π)/2607 weeks
37.31053 .09055 (37*2π)/2607 weeks
38-.1883 -.02874 (38*2π)/2607 weeks
39.06022 .01821 (39*2π)/2607 weeks
40-.09401 .15092 (40*2π)/2607 weeks
41-.19212 -.13009 (41*2π)/2606 weeks
42.36252 -.04033 (42*2π)/2606 weeks
43.00773 .20735 (43*2π)/2606 weeks
44-.31224 -.08714 (44*2π)/2606 weeks
45.06861 -.1911 (45*2π)/2606 weeks
46.26836 .01581 (46*2π)/2606 weeks
47.13905 .29574 (47*2π)/2606 weeks
48-.26523 .15313 (48*2π)/2605 weeks
49.11786 -.06919 (49*2π)/2605 weeks
50-.15174 -.02701 (50*2π)/2605 weeks
51.26235 .00095 (51*2π)/2605 weeks
52.00168 .30125 (52*2π)/2605 weeks
53-.22965 -.20883 (53*2π)/2605 weeks
54-.00684 -.2651 (54*2π)/2605 weeks
55.4484 -.01921 (55*2π)/2605 weeks
56.2086 .36517 (56*2π)/2605 weeks
57-.33286 -.02987 (57*2π)/2605 weeks
58.35533 .00001 (58*2π)/2604 weeks
59-.17782 .32024 (59*2π)/2604 weeks
60-.30635 -.16219 (60*2π)/2604 weeks
61.37987 -.18209 (61*2π)/2604 weeks
62.17011 .58088 (62*2π)/2604 weeks
63-.70586 .06775 (63*2π)/2604 weeks
64.20675 -.64707 (64*2π)/2604 weeks
65.52221 .15117 (65*2π)/2604 weeks
66.0183 .39217 (66*2π)/2604 weeks
67-.22157 .01372 (67*2π)/2604 weeks
68-.01347 -.11367 (68*2π)/2604 weeks
69.06328 -.00448 (69*2π)/2604 weeks
70.01283 -.02967 (70*2π)/2604 weeks
71.19756 -.02089 (71*2π)/2604 weeks
72.10792 .36688 (72*2π)/2604 weeks
73-.22534 -.13704 (73*2π)/2604 weeks
74.23795 -.06105 (74*2π)/2604 weeks
75.00341 .10854 (75*2π)/2603 weeks
76.12758 -.05602 (76*2π)/2603 weeks
77.0284 .23297 (77*2π)/2603 weeks
78-.02669 .14771 (78*2π)/2603 weeks
79.03835 -.20798 (79*2π)/2603 weeks
80.11838 .1766 (80*2π)/2603 weeks
81-.15883 .23279 (81*2π)/2603 weeks
82.12247 -.28926 (82*2π)/2603 weeks
83.11299 .15918 (83*2π)/2603 weeks
84-.11249 .03691 (84*2π)/2603 weeks
85-.01504 -.04442 (85*2π)/2603 weeks
86-.12622 .07964 (86*2π)/2603 weeks
87-.12649 -.09804 (87*2π)/2603 weeks
88.23744 -.19084 (88*2π)/2603 weeks
89.11073 .15671 (89*2π)/2603 weeks
90-.19605 .06782 (90*2π)/2603 weeks
91.04835 -.09108 (91*2π)/2603 weeks
92.15337 .02851 (92*2π)/2603 weeks
93-.02383 .23283 (93*2π)/2603 weeks
94-.12089 -.09783 (94*2π)/2603 weeks
95.22463 -.22905 (95*2π)/2603 weeks
96.20568 .23296 (96*2π)/2603 weeks
97-.08933 .23149 (97*2π)/2603 weeks
98-.23211 -.18045 (98*2π)/2603 weeks
99.16246 -.26955 (99*2π)/2603 weeks
100.26636 .13257 (100*2π)/2603 weeks
101-.09666 .25357 (101*2π)/2603 weeks
102-.26605 -.05816 (102*2π)/2603 weeks
103.00346 -.35552 (103*2π)/2603 weeks
104.27591 .13219 (104*2π)/2603 weeks
105-.04363 .04781 (105*2π)/2602 weeks
106.02623 -.15106 (106*2π)/2602 weeks
107.20259 .00956 (107*2π)/2602 weeks
108.01168 .37278 (108*2π)/2602 weeks
109-.51856 -.15676 (109*2π)/2602 weeks
110.28933 -.4375 (110*2π)/2602 weeks
111.42162 .1689 (111*2π)/2602 weeks
112-.08886 .46518 (112*2π)/2602 weeks
113-.24231 -.11387 (113*2π)/2602 weeks
114.15894 -.26473 (114*2π)/2602 weeks
115.18174 .08565 (115*2π)/2602 weeks
116.05894 .01807 (116*2π)/2602 weeks
117.0306 .16833 (117*2π)/2602 weeks
118-.01368 .13994 (118*2π)/2602 weeks
119-.15651 -.15725 (119*2π)/2602 weeks
120.12654 -.18279 (120*2π)/2602 weeks
121.14842 .17941 (121*2π)/2602 weeks
122-.16716 .00336 (122*2π)/2602 weeks
123.13125 -.07915 (123*2π)/2602 weeks
124.04498 .06897 (124*2π)/2602 weeks
125-.05953 -.12647 (125*2π)/2602 weeks
126.16966 .09986 (126*2π)/2602 weeks
127-.06381 .10603 (127*2π)/2602 weeks
128-.0428 -.03913 (128*2π)/2602 weeks
129.08429 -.10567 (129*2π)/2602 weeks
130.07069   (130*2π)/2602 weeks
131.08429 .10567 (131*2π)/2602 weeks
132-.0428 .03913 (132*2π)/2602 weeks
133-.06381 -.10603 (133*2π)/2602 weeks
134.16966 -.09986 (134*2π)/2602 weeks
135-.05953 .12647 (135*2π)/2602 weeks
136.04498 -.06897 (136*2π)/2602 weeks
137.13125 .07915 (137*2π)/2602 weeks
138-.16716 -.00336 (138*2π)/2602 weeks
139.14842 -.17941 (139*2π)/2602 weeks
140.12654 .18279 (140*2π)/2602 weeks
141-.15651 .15725 (141*2π)/2602 weeks
142-.01368 -.13994 (142*2π)/2602 weeks
143.0306 -.16833 (143*2π)/2602 weeks
144.05894 -.01807 (144*2π)/2602 weeks
145.18174 -.08565 (145*2π)/2602 weeks
146.15894 .26473 (146*2π)/2602 weeks
147-.24231 .11387 (147*2π)/2602 weeks
148-.08886 -.46518 (148*2π)/2602 weeks
149.42162 -.1689 (149*2π)/2602 weeks
150.28933 .4375 (150*2π)/2602 weeks
151-.51856 .15676 (151*2π)/2602 weeks
152.01168 -.37278 (152*2π)/2602 weeks
153.20259 -.00956 (153*2π)/2602 weeks
154.02623 .15106 (154*2π)/2602 weeks
155-.04363 -.04781 (155*2π)/2602 weeks
156.27591 -.13219 (156*2π)/2602 weeks
157.00346 .35552 (157*2π)/2602 weeks
158-.26605 .05816 (158*2π)/2602 weeks
159-.09666 -.25357 (159*2π)/2602 weeks
160.26636 -.13257 (160*2π)/2602 weeks
161.16246 .26955 (161*2π)/2602 weeks
162-.23211 .18045 (162*2π)/2602 weeks
163-.08933 -.23149 (163*2π)/2602 weeks
164.20568 -.23296 (164*2π)/2602 weeks
165.22463 .22905 (165*2π)/2602 weeks
166-.12089 .09783 (166*2π)/2602 weeks
167-.02383 -.23283 (167*2π)/2602 weeks
168.15337 -.02851 (168*2π)/2602 weeks
169.04835 .09108 (169*2π)/2602 weeks
170-.19605 -.06782 (170*2π)/2602 weeks
171.11073 -.15671 (171*2π)/2602 weeks
172.23744 .19084 (172*2π)/2602 weeks
173-.12649 .09804 (173*2π)/2602 weeks
174-.12622 -.07964 (174*2π)/2601 weeks
175-.01504 .04442 (175*2π)/2601 weeks
176-.11249 -.03691 (176*2π)/2601 weeks
177.11299 -.15918 (177*2π)/2601 weeks
178.12247 .28926 (178*2π)/2601 weeks
179-.15883 -.23279 (179*2π)/2601 weeks
180.11838 -.1766 (180*2π)/2601 weeks
181.03835 .20798 (181*2π)/2601 weeks
182-.02669 -.14771 (182*2π)/2601 weeks
183.0284 -.23297 (183*2π)/2601 weeks
184.12758 .05602 (184*2π)/2601 weeks
185.00341 -.10854 (185*2π)/2601 weeks
186.23795 .06105 (186*2π)/2601 weeks
187-.22534 .13704 (187*2π)/2601 weeks
188.10792 -.36688 (188*2π)/2601 weeks
189.19756 .02089 (189*2π)/2601 weeks
190.01283 .02967 (190*2π)/2601 weeks
191.06328 .00448 (191*2π)/2601 weeks
192-.01347 .11367 (192*2π)/2601 weeks
193-.22157 -.01372 (193*2π)/2601 weeks
194.0183 -.39217 (194*2π)/2601 weeks
195.52221 -.15117 (195*2π)/2601 weeks
196.20675 .64707 (196*2π)/2601 weeks
197-.70586 -.06775 (197*2π)/2601 weeks
198.17011 -.58088 (198*2π)/2601 weeks
199.37987 .18209 (199*2π)/2601 weeks
200-.30635 .16219 (200*2π)/2601 weeks
201-.17782 -.32024 (201*2π)/2601 weeks
202.35533 -.00001 (202*2π)/2601 weeks
203-.33286 .02987 (203*2π)/2601 weeks
204.2086 -.36517 (204*2π)/2601 weeks
205.4484 .01921 (205*2π)/2601 weeks
206-.00684 .2651 (206*2π)/2601 weeks
207-.22965 .20883 (207*2π)/2601 weeks
208.00168 -.30125 (208*2π)/2601 weeks
209.26235 -.00095 (209*2π)/2601 weeks
210-.15174 .02701 (210*2π)/2601 weeks
211.11786 .06919 (211*2π)/2601 weeks
212-.26523 -.15313 (212*2π)/2601 weeks
213.13905 -.29574 (213*2π)/2601 weeks
214.26836 -.01581 (214*2π)/2601 weeks
215.06861 .1911 (215*2π)/2601 weeks
216-.31224 .08714 (216*2π)/2601 weeks
217.00773 -.20735 (217*2π)/2601 weeks
218.36252 .04033 (218*2π)/2601 weeks
219-.19212 .13009 (219*2π)/2601 weeks
220-.09401 -.15092 (220*2π)/2601 weeks
221.06022 -.01821 (221*2π)/2601 weeks
222-.1883 .02874 (222*2π)/2601 weeks
223.31053 -.09055 (223*2π)/2601 weeks
224-.01044 .52624 (224*2π)/2601 weeks
225-.73761 -.27094 (225*2π)/2601 weeks
226.23726 -.77795 (226*2π)/2601 weeks
227.68375 .60035 (227*2π)/2601 weeks
228-.21038 .02815 (228*2π)/2601 weeks
229-.14187 -.74044 (229*2π)/2601 weeks
230.34772 .06784 (230*2π)/2601 weeks
231.00032 .13514 (231*2π)/2601 weeks
232-.34582 -.27617 (232*2π)/2601 weeks
233.26355 -.38365 (233*2π)/2601 weeks
234.42157 .66623 (234*2π)/2601 weeks
235-1.04331 .79067 (235*2π)/2601 weeks
236-.10504 -1.48736 (236*2π)/2601 weeks
237.5952 -.37065 (237*2π)/2601 weeks
238-.0057 .5043 (238*2π)/2601 weeks
239-.08692 .19307 (239*2π)/2601 weeks
240-.25183 -.66796 (240*2π)/2601 weeks
241.89716 -.19066 (241*2π)/2601 weeks
242-.43012 .22473 (242*2π)/2601 weeks
243-.21377 .10188 (243*2π)/2601 weeks
244.46063 -.67999 (244*2π)/2601 weeks
245.34333 -.8201 (245*2π)/2601 weeks
246.2884 .80577 (246*2π)/2601 weeks
247-1.26222 .41797 (247*2π)/2601 weeks
248.07171 -1.49499 (248*2π)/2601 weeks
249.97338 -.19137 (249*2π)/2601 weeks
250-.75563 .60079 (250*2π)/2601 weeks
251-.37106 -.85906 (251*2π)/2601 weeks
2522.09281 -1.54174 (252*2π)/2601 weeks
253-.15914 3.32431 (253*2π)/2601 weeks
254-5.7976 -.27898 (254*2π)/2601 weeks
255.95087 -5.61613 (255*2π)/2601 weeks
2565.3965 .26928 (256*2π)/2601 weeks
2572.46565 6.02502 (257*2π)/2601 weeks
258-20.83306 1.8423 (258*2π)/2601 weeks