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# Fourier Analysis of BOX (Box)

BOX (Box) appears to have interesting cyclic behaviour every 16 weeks (.5513*sine), 14 weeks (.5321*sine), and 15 weeks (.3189*sine).

BOX (Box) has an average price of 16.72 (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 1/23/2015 to 6/4/2018 for BOX (Box), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
016.72424   0
13.55638 -3.55444 (1*2π)/177177 weeks
2.91113 -.02385 (2*2π)/17789 weeks
3.22068 -.4273 (3*2π)/17759 weeks
4.10204 -.03401 (4*2π)/17744 weeks
5.06933 -.33815 (5*2π)/17735 weeks
6.57283 -.34161 (6*2π)/17730 weeks
7.37414 -.61521 (7*2π)/17725 weeks
8.8344 -.61263 (8*2π)/17722 weeks
9-.10712 .18921 (9*2π)/17720 weeks
10.18991 -.28402 (10*2π)/17718 weeks
11.09142 -.5513 (11*2π)/17716 weeks
12.1554 -.31894 (12*2π)/17715 weeks
13-.06603 -.53207 (13*2π)/17714 weeks
14-.29274 -.45491 (14*2π)/17713 weeks
15.16578 -.07688 (15*2π)/17712 weeks
16-.05373 -.09756 (16*2π)/17711 weeks
17-.08371 -.16538 (17*2π)/17710 weeks
18-.03692 -.33804 (18*2π)/17710 weeks
19-.20072 -.08597 (19*2π)/1779 weeks
20-.15039 -.15382 (20*2π)/1779 weeks
21-.28087 -.1722 (21*2π)/1778 weeks
22.04243 -.04893 (22*2π)/1778 weeks
23-.17089 .00711 (23*2π)/1778 weeks
24-.0212 -.05065 (24*2π)/1777 weeks
25-.11455 -.03527 (25*2π)/1777 weeks
26.00938 -.06635 (26*2π)/1777 weeks
27-.0171 -.13655 (27*2π)/1777 weeks
28-.10965 .06413 (28*2π)/1776 weeks
29-.02277 -.00871 (29*2π)/1776 weeks
30.07364 .03821 (30*2π)/1776 weeks
31.04868 -.07363 (31*2π)/1776 weeks
32.0165 -.12128 (32*2π)/1776 weeks
33.13713 .0507 (33*2π)/1775 weeks
34.02082 -.02897 (34*2π)/1775 weeks
35-.08041 -.1567 (35*2π)/1775 weeks
36.07326 -.12453 (36*2π)/1775 weeks
37.02764 -.08091 (37*2π)/1775 weeks
38.03342 -.01018 (38*2π)/1775 weeks
39-.05698 -.10304 (39*2π)/1775 weeks
40.06227 -.02838 (40*2π)/1774 weeks
41.11388 .14547 (41*2π)/1774 weeks
42.08732 .01587 (42*2π)/1774 weeks
43.17555 -.14048 (43*2π)/1774 weeks
44-.01204 -.08838 (44*2π)/1774 weeks
45-.0916 -.06742 (45*2π)/1774 weeks
46.04255 -.20539 (46*2π)/1774 weeks
47-.03755 -.12085 (47*2π)/1774 weeks
48.00328 -.0438 (48*2π)/1774 weeks
49-.01088 -.02512 (49*2π)/1774 weeks
50-.0388 -.11952 (50*2π)/1774 weeks
51-.03025 .04838 (51*2π)/1773 weeks
52.06372 .02486 (52*2π)/1773 weeks
53.02458 -.05917 (53*2π)/1773 weeks
54.04297 -.06291 (54*2π)/1773 weeks
55.17888 -.12726 (55*2π)/1773 weeks
56.15611 -.171 (56*2π)/1773 weeks
57.00719 -.05237 (57*2π)/1773 weeks
58-.00678 .00227 (58*2π)/1773 weeks
59-.05441 -.00812 (59*2π)/1773 weeks
60.00236 .00124 (60*2π)/1773 weeks
61-.05393 .06491 (61*2π)/1773 weeks
62.07393 .02193 (62*2π)/1773 weeks
63.00156 -.02562 (63*2π)/1773 weeks
64.06821 .02356 (64*2π)/1773 weeks
65.07044 .05818 (65*2π)/1773 weeks
66.0288 .09765 (66*2π)/1773 weeks
67-.02761 -.03861 (67*2π)/1773 weeks
68.02415 -.0912 (68*2π)/1773 weeks
69-.05397 -.13967 (69*2π)/1773 weeks
70-.05673 -.0387 (70*2π)/1773 weeks
71-.0326 .05984 (71*2π)/1772 weeks
72.03438 .14101 (72*2π)/1772 weeks
73-.01097 .04252 (73*2π)/1772 weeks
74.02224 .04251 (74*2π)/1772 weeks
75-.01417 -.02012 (75*2π)/1772 weeks
76.06459 -.00303 (76*2π)/1772 weeks
77.01164 -.01014 (77*2π)/1772 weeks
78.07022 -.02209 (78*2π)/1772 weeks
79.03462 -.00821 (79*2π)/1772 weeks
80.01176 -.01011 (80*2π)/1772 weeks
81-.06594 .00557 (81*2π)/1772 weeks
82-.06116 -.06369 (82*2π)/1772 weeks
83-.07717 -.00611 (83*2π)/1772 weeks
84-.0538 -.02015 (84*2π)/1772 weeks
85-.01561 .01562 (85*2π)/1772 weeks
86.06513 .02321 (86*2π)/1772 weeks
87-.02778 .02428 (87*2π)/1772 weeks
88-.06342 -.01056 (88*2π)/1772 weeks
89-.06342 .01056 (89*2π)/1772 weeks
90-.02778 -.02428 (90*2π)/1772 weeks
91.06513 -.02321 (91*2π)/1772 weeks
92-.01561 -.01562 (92*2π)/1772 weeks
93-.0538 .02015 (93*2π)/1772 weeks
94-.07717 .00611 (94*2π)/1772 weeks
95-.06116 .06369 (95*2π)/1772 weeks
96-.06594 -.00557 (96*2π)/1772 weeks
97.01176 .01011 (97*2π)/1772 weeks
98.03462 .00821 (98*2π)/1772 weeks
99.07022 .02209 (99*2π)/1772 weeks
100.01164 .01014 (100*2π)/1772 weeks
101.06459 .00303 (101*2π)/1772 weeks
102-.01417 .02012 (102*2π)/1772 weeks
103.02224 -.04251 (103*2π)/1772 weeks
104-.01097 -.04252 (104*2π)/1772 weeks
105.03438 -.14101 (105*2π)/1772 weeks
106-.0326 -.05984 (106*2π)/1772 weeks
107-.05673 .0387 (107*2π)/1772 weeks
108-.05397 .13967 (108*2π)/1772 weeks
109.02415 .0912 (109*2π)/1772 weeks
110-.02761 .03861 (110*2π)/1772 weeks
111.0288 -.09765 (111*2π)/1772 weeks
112.07044 -.05818 (112*2π)/1772 weeks
113.06821 -.02356 (113*2π)/1772 weeks
114.00156 .02562 (114*2π)/1772 weeks
115.07393 -.02193 (115*2π)/1772 weeks
116-.05393 -.06491 (116*2π)/1772 weeks
117.00236 -.00124 (117*2π)/1772 weeks
118-.05441 .00812 (118*2π)/1772 weeks
119-.00678 -.00227 (119*2π)/1771 weeks
120.00719 .05237 (120*2π)/1771 weeks
121.15611 .171 (121*2π)/1771 weeks
122.17888 .12726 (122*2π)/1771 weeks
123.04297 .06291 (123*2π)/1771 weeks
124.02458 .05917 (124*2π)/1771 weeks
125.06372 -.02486 (125*2π)/1771 weeks
126-.03025 -.04838 (126*2π)/1771 weeks
127-.0388 .11952 (127*2π)/1771 weeks
128-.01088 .02512 (128*2π)/1771 weeks
129.00328 .0438 (129*2π)/1771 weeks
130-.03755 .12085 (130*2π)/1771 weeks
131.04255 .20539 (131*2π)/1771 weeks
132-.0916 .06742 (132*2π)/1771 weeks
133-.01204 .08838 (133*2π)/1771 weeks
134.17555 .14048 (134*2π)/1771 weeks
135.08732 -.01587 (135*2π)/1771 weeks
136.11388 -.14547 (136*2π)/1771 weeks
137.06227 .02838 (137*2π)/1771 weeks
138-.05698 .10304 (138*2π)/1771 weeks
139.03342 .01018 (139*2π)/1771 weeks
140.02764 .08091 (140*2π)/1771 weeks
141.07326 .12453 (141*2π)/1771 weeks
142-.08041 .1567 (142*2π)/1771 weeks
143.02082 .02897 (143*2π)/1771 weeks
144.13713 -.0507 (144*2π)/1771 weeks
145.0165 .12128 (145*2π)/1771 weeks
146.04868 .07363 (146*2π)/1771 weeks
147.07364 -.03821 (147*2π)/1771 weeks
148-.02277 .00871 (148*2π)/1771 weeks
149-.10965 -.06413 (149*2π)/1771 weeks
150-.0171 .13655 (150*2π)/1771 weeks
151.00938 .06635 (151*2π)/1771 weeks
152-.11455 .03527 (152*2π)/1771 weeks
153-.0212 .05065 (153*2π)/1771 weeks
154-.17089 -.00711 (154*2π)/1771 weeks
155.04243 .04893 (155*2π)/1771 weeks
156-.28087 .1722 (156*2π)/1771 weeks
157-.15039 .15382 (157*2π)/1771 weeks
158-.20072 .08597 (158*2π)/1771 weeks
159-.03692 .33804 (159*2π)/1771 weeks
160-.08371 .16538 (160*2π)/1771 weeks
161-.05373 .09756 (161*2π)/1771 weeks
162.16578 .07688 (162*2π)/1771 weeks
163-.29274 .45491 (163*2π)/1771 weeks
164-.06603 .53207 (164*2π)/1771 weeks
165.1554 .31894 (165*2π)/1771 weeks
166.09142 .5513 (166*2π)/1771 weeks
167.18991 .28402 (167*2π)/1771 weeks
168-.10712 -.18921 (168*2π)/1771 weeks
169.8344 .61263 (169*2π)/1771 weeks
170.37414 .61521 (170*2π)/1771 weeks
171.57283 .34161 (171*2π)/1771 weeks
172.06933 .33815 (172*2π)/1771 weeks
173.10204 .03401 (173*2π)/1771 weeks
174.22068 .4273 (174*2π)/1771 weeks
175.91113 .02385 (175*2π)/1771 weeks