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# Fourier Analysis of SZMK (Sizmek Inc.)

SZMK (Sizmek Inc.) appears to have interesting cyclic behaviour every 14 weeks (.4279*sine), 13 weeks (.3167*sine), and 3 weeks (.1144*cosine).

SZMK (Sizmek Inc.) has an average price of 6.24 (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 2/10/2014 to 9/26/2016 for SZMK (Sizmek Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
06.2371   0
1.01137 2.42185 (1*2π)/138138 weeks
21.20891 1.81045 (2*2π)/13869 weeks
3-.04607 .90184 (3*2π)/13846 weeks
4-.02394 .37891 (4*2π)/13835 weeks
5.51477 .33813 (5*2π)/13828 weeks
6.18666 .41172 (6*2π)/13823 weeks
7-.0171 .36455 (7*2π)/13820 weeks
8-.00286 .38596 (8*2π)/13817 weeks
9-.01617 .08604 (9*2π)/13815 weeks
10.05909 .4279 (10*2π)/13814 weeks
11-.09405 .31671 (11*2π)/13813 weeks
12-.1094 .14002 (12*2π)/13812 weeks
13.05242 .26963 (13*2π)/13811 weeks
14.00932 .21217 (14*2π)/13810 weeks
15-.03746 .21358 (15*2π)/1389 weeks
16-.02282 .18927 (16*2π)/1389 weeks
17.02081 .05293 (17*2π)/1388 weeks
18.10773 .12508 (18*2π)/1388 weeks
19-.03186 .17417 (19*2π)/1387 weeks
20.00664 .04649 (20*2π)/1387 weeks
21-.00374 .10627 (21*2π)/1387 weeks
22.05301 .16115 (22*2π)/1386 weeks
23-.08029 .11221 (23*2π)/1386 weeks
24-.11007 .12546 (24*2π)/1386 weeks
25-.04475 -.01561 (25*2π)/1386 weeks
26-.05454 .06851 (26*2π)/1385 weeks
27.00154 .07502 (27*2π)/1385 weeks
28-.0423 .04504 (28*2π)/1385 weeks
29-.01273 -.00125 (29*2π)/1385 weeks
30-.04304 .06867 (30*2π)/1385 weeks
31.02315 .00418 (31*2π)/1384 weeks
32-.02147 -.02527 (32*2π)/1384 weeks
33.03166 -.02958 (33*2π)/1384 weeks
34.10542 -.02312 (34*2π)/1384 weeks
35.01745 -.00772 (35*2π)/1384 weeks
36.02456 .03471 (36*2π)/1384 weeks
37.00221 -.01337 (37*2π)/1384 weeks
38.07801 -.06858 (38*2π)/1384 weeks
39.01984 .04699 (39*2π)/1384 weeks
40.04071 .04283 (40*2π)/1383 weeks
41.02244 -.0663 (41*2π)/1383 weeks
42.04621 .07456 (42*2π)/1383 weeks
43.08504 -.00829 (43*2π)/1383 weeks
44-.00942 .02574 (44*2π)/1383 weeks
45.07853 .04958 (45*2π)/1383 weeks
46.03725 -.01356 (46*2π)/1383 weeks
47.018 .01617 (47*2π)/1383 weeks
48.02248 -.01369 (48*2π)/1383 weeks
49.11443 -.03279 (49*2π)/1383 weeks
50.0343 -.02601 (50*2π)/1383 weeks
51.07738 .01035 (51*2π)/1383 weeks
52.04771 .01154 (52*2π)/1383 weeks
53.03642 -.03088 (53*2π)/1383 weeks
54.09019 -.00308 (54*2π)/1383 weeks
55.04953 .00453 (55*2π)/1383 weeks
56.01951 .0423 (56*2π)/1382 weeks
57.08109 .0371 (57*2π)/1382 weeks
58.05128 -.01199 (58*2π)/1382 weeks
59.03108 .00117 (59*2π)/1382 weeks
60.09712 .06352 (60*2π)/1382 weeks
61.01134 .01504 (61*2π)/1382 weeks
62.05755 -.03775 (62*2π)/1382 weeks
63.08094 .05534 (63*2π)/1382 weeks
64.04777 -.03329 (64*2π)/1382 weeks
65.02346 .00458 (65*2π)/1382 weeks
66.04711 .00531 (66*2π)/1382 weeks
67.07186 -.02616 (67*2π)/1382 weeks
68-.0008 .03683 (68*2π)/1382 weeks
69.06493   (69*2π)/1382 weeks
70-.0008 -.03683 (70*2π)/1382 weeks
71.07186 .02616 (71*2π)/1382 weeks
72.04711 -.00531 (72*2π)/1382 weeks
73.02346 -.00458 (73*2π)/1382 weeks
74.04777 .03329 (74*2π)/1382 weeks
75.08094 -.05534 (75*2π)/1382 weeks
76.05755 .03775 (76*2π)/1382 weeks
77.01134 -.01504 (77*2π)/1382 weeks
78.09712 -.06352 (78*2π)/1382 weeks
79.03108 -.00117 (79*2π)/1382 weeks
80.05128 .01199 (80*2π)/1382 weeks
81.08109 -.0371 (81*2π)/1382 weeks
82.01951 -.0423 (82*2π)/1382 weeks
83.04953 -.00453 (83*2π)/1382 weeks
84.09019 .00308 (84*2π)/1382 weeks
85.03642 .03088 (85*2π)/1382 weeks
86.04771 -.01154 (86*2π)/1382 weeks
87.07738 -.01035 (87*2π)/1382 weeks
88.0343 .02601 (88*2π)/1382 weeks
89.11443 .03279 (89*2π)/1382 weeks
90.02248 .01369 (90*2π)/1382 weeks
91.018 -.01617 (91*2π)/1382 weeks
92.03725 .01356 (92*2π)/1382 weeks
93.07853 -.04958 (93*2π)/1381 weeks
94-.00942 -.02574 (94*2π)/1381 weeks
95.08504 .00829 (95*2π)/1381 weeks
96.04621 -.07456 (96*2π)/1381 weeks
97.02244 .0663 (97*2π)/1381 weeks
98.04071 -.04283 (98*2π)/1381 weeks
99.01984 -.04699 (99*2π)/1381 weeks
100.07801 .06858 (100*2π)/1381 weeks
101.00221 .01337 (101*2π)/1381 weeks
102.02456 -.03471 (102*2π)/1381 weeks
103.01745 .00772 (103*2π)/1381 weeks
104.10542 .02312 (104*2π)/1381 weeks
105.03166 .02958 (105*2π)/1381 weeks
106-.02147 .02527 (106*2π)/1381 weeks
107.02315 -.00418 (107*2π)/1381 weeks
108-.04304 -.06867 (108*2π)/1381 weeks
109-.01273 .00125 (109*2π)/1381 weeks
110-.0423 -.04504 (110*2π)/1381 weeks
111.00154 -.07502 (111*2π)/1381 weeks
112-.05454 -.06851 (112*2π)/1381 weeks
113-.04475 .01561 (113*2π)/1381 weeks
114-.11007 -.12546 (114*2π)/1381 weeks
115-.08029 -.11221 (115*2π)/1381 weeks
116.05301 -.16115 (116*2π)/1381 weeks
117-.00374 -.10627 (117*2π)/1381 weeks
118.00664 -.04649 (118*2π)/1381 weeks
119-.03186 -.17417 (119*2π)/1381 weeks
120.10773 -.12508 (120*2π)/1381 weeks
121.02081 -.05293 (121*2π)/1381 weeks
122-.02282 -.18927 (122*2π)/1381 weeks
123-.03746 -.21358 (123*2π)/1381 weeks
124.00932 -.21217 (124*2π)/1381 weeks
125.05242 -.26963 (125*2π)/1381 weeks
126-.1094 -.14002 (126*2π)/1381 weeks
127-.09405 -.31671 (127*2π)/1381 weeks
128.05909 -.4279 (128*2π)/1381 weeks
129-.01617 -.08604 (129*2π)/1381 weeks
130-.00286 -.38596 (130*2π)/1381 weeks
131-.0171 -.36455 (131*2π)/1381 weeks
132.18666 -.41172 (132*2π)/1381 weeks
133.51477 -.33813 (133*2π)/1381 weeks
134-.02394 -.37891 (134*2π)/1381 weeks
135-.04607 -.90184 (135*2π)/1381 weeks
1361.20891 -1.81045 (136*2π)/1381 weeks