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# Fourier Analysis of ULGX (Urologix)

ULGX (Urologix) appears to have interesting cyclic behaviour every 6 weeks (.0003*sine), 10 weeks (.0002*sine), and 4 weeks (.0002*cosine).

ULGX (Urologix) has an average price of (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 1/5/2016 to 4/16/2018 for ULGX (Urologix), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0.00204   0
1.00069 .00002 (1*2π)/103103 weeks
2.00065 .00011 (2*2π)/10352 weeks
3-.00018 -.00025 (3*2π)/10334 weeks
4.00001 .00005 (4*2π)/10326 weeks
5.00002 .0001 (5*2π)/10321 weeks
6.00028 .00032 (6*2π)/10317 weeks
7.00038 .00035 (7*2π)/10315 weeks
8.0004 .00042 (8*2π)/10313 weeks
9.0004 .0002 (9*2π)/10311 weeks
10.00015 .00021 (10*2π)/10310 weeks
11.00007 .00011 (11*2π)/1039 weeks
12-.00005 .00005 (12*2π)/1039 weeks
13-.00004   (13*2π)/1038 weeks
14-.00012 -.00007 (14*2π)/1037 weeks
15.00011 -.00006 (15*2π)/1037 weeks
16-.00001 .00009 (16*2π)/1036 weeks
17.00014 .0001 (17*2π)/1036 weeks
18-.00005 .00026 (18*2π)/1036 weeks
19.00011 .00019 (19*2π)/1035 weeks
20-.00003 .00012 (20*2π)/1035 weeks
21  -.00015 (21*2π)/1035 weeks
22-.00002 -.00017 (22*2π)/1035 weeks
23-.00005 -.00013 (23*2π)/1034 weeks
24.00005 -.00016 (24*2π)/1034 weeks
25-.00003 .00002 (25*2π)/1034 weeks
26.0001 -.00001 (26*2π)/1034 weeks
27-.00019 .00011 (27*2π)/1034 weeks
28-.00001 .00002 (28*2π)/1034 weeks
29-.00013 .00004 (29*2π)/1034 weeks
30-.00001 -.0001 (30*2π)/1033 weeks
31.00002 -.0001 (31*2π)/1033 weeks
32.00015 -.00009 (32*2π)/1033 weeks
33.00013 -.00002 (33*2π)/1033 weeks
34.00016 -.00002 (34*2π)/1033 weeks
35.00001 .00004 (35*2π)/1033 weeks
36-.00001 .0001 (36*2π)/1033 weeks
37-.00004 .00008 (37*2π)/1033 weeks
38.00005 .00004 (38*2π)/1033 weeks
39.00008 .00008 (39*2π)/1033 weeks
40.00015 .00005 (40*2π)/1033 weeks
41.00017 .00007 (41*2π)/1033 weeks
42  .00008 (42*2π)/1032 weeks
43.0001 .00003 (43*2π)/1032 weeks
44-.00004 .0001 (44*2π)/1032 weeks
45.00005 .00004 (45*2π)/1032 weeks
46-.00004 .00011 (46*2π)/1032 weeks
47-.00008 .00005 (47*2π)/1032 weeks
48-.00011 .00011 (48*2π)/1032 weeks
49-.00003 .00006 (49*2π)/1032 weeks
50.00004 -.00003 (50*2π)/1032 weeks
51.00004 .00006 (51*2π)/1032 weeks
52.00004 -.00006 (52*2π)/1032 weeks
53.00004 .00003 (53*2π)/1032 weeks
54-.00003 -.00006 (54*2π)/1032 weeks
55-.00011 -.00011 (55*2π)/1032 weeks
56-.00008 -.00005 (56*2π)/1032 weeks
57-.00004 -.00011 (57*2π)/1032 weeks
58.00005 -.00004 (58*2π)/1032 weeks
59-.00004 -.0001 (59*2π)/1032 weeks
60.0001 -.00003 (60*2π)/1032 weeks
61  -.00008 (61*2π)/1032 weeks
62.00017 -.00007 (62*2π)/1032 weeks
63.00015 -.00005 (63*2π)/1032 weeks
64.00008 -.00008 (64*2π)/1032 weeks
65.00005 -.00004 (65*2π)/1032 weeks
66-.00004 -.00008 (66*2π)/1032 weeks
67-.00001 -.0001 (67*2π)/1032 weeks
68.00001 -.00004 (68*2π)/1032 weeks
69.00016 .00002 (69*2π)/1031 weeks
70.00013 .00002 (70*2π)/1031 weeks
71.00015 .00009 (71*2π)/1031 weeks
72.00002 .0001 (72*2π)/1031 weeks
73-.00001 .0001 (73*2π)/1031 weeks
74-.00013 -.00004 (74*2π)/1031 weeks
75-.00001 -.00002 (75*2π)/1031 weeks
76-.00019 -.00011 (76*2π)/1031 weeks
77.0001 .00001 (77*2π)/1031 weeks
78-.00003 -.00002 (78*2π)/1031 weeks
79.00005 .00016 (79*2π)/1031 weeks
80-.00005 .00013 (80*2π)/1031 weeks
81-.00002 .00017 (81*2π)/1031 weeks
82  .00015 (82*2π)/1031 weeks
83-.00003 -.00012 (83*2π)/1031 weeks
84.00011 -.00019 (84*2π)/1031 weeks
85-.00005 -.00026 (85*2π)/1031 weeks
86.00014 -.0001 (86*2π)/1031 weeks
87-.00001 -.00009 (87*2π)/1031 weeks
88.00011 .00006 (88*2π)/1031 weeks
89-.00012 .00007 (89*2π)/1031 weeks
90-.00004   (90*2π)/1031 weeks
91-.00005 -.00005 (91*2π)/1031 weeks
92.00007 -.00011 (92*2π)/1031 weeks
93.00015 -.00021 (93*2π)/1031 weeks
94.0004 -.0002 (94*2π)/1031 weeks
95.0004 -.00042 (95*2π)/1031 weeks
96.00038 -.00035 (96*2π)/1031 weeks
97.00028 -.00032 (97*2π)/1031 weeks
98.00002 -.0001 (98*2π)/1031 weeks
99.00001 -.00005 (99*2π)/1031 weeks
100-.00018 .00025 (100*2π)/1031 weeks
101.00065 -.00011 (101*2π)/1031 weeks