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# Fourier Analysis of ZLTQ (ZELTIQ Aesthetics, Inc.)

ZLTQ (ZELTIQ Aesthetics, Inc.) appears to have interesting cyclic behaviour every 24 weeks (1.5466*sine), 26 weeks (1.4572*sine), and 28 weeks (.635*sine).

ZLTQ (ZELTIQ Aesthetics, Inc.) has an average price of 20.81 (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 10/19/2011 to 3/20/2017 for ZLTQ (ZELTIQ Aesthetics, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
020.80975   0
11.51369 -14.70661 (1*2π)/284284 weeks
24.47228 -3.22459 (2*2π)/284142 weeks
33.67181 -3.61088 (3*2π)/28495 weeks
4.14695 -4.72703 (4*2π)/28471 weeks
51.49478 -2.66826 (5*2π)/28457 weeks
6-.98864 -1.06081 (6*2π)/28447 weeks
71.50673 -1.06214 (7*2π)/28441 weeks
8.42186 -1.43053 (8*2π)/28436 weeks
9-.33602 -1.88425 (9*2π)/28432 weeks
10.41681 -.63503 (10*2π)/28428 weeks
11.43777 -1.45721 (11*2π)/28426 weeks
12.0898 -1.5466 (12*2π)/28424 weeks
13.25273 -1.29481 (13*2π)/28422 weeks
14-.55447 -1.30918 (14*2π)/28420 weeks
15-.1803 -.70758 (15*2π)/28419 weeks
16.1824 -.41871 (16*2π)/28418 weeks
17.6197 -.92877 (17*2π)/28417 weeks
18.24759 -.88248 (18*2π)/28416 weeks
19.11689 -.95051 (19*2π)/28415 weeks
20-.19091 -.83088 (20*2π)/28414 weeks
21.09267 -.79122 (21*2π)/28414 weeks
22-.24948 -.72011 (22*2π)/28413 weeks
23.06109 -.81682 (23*2π)/28412 weeks
24-.50953 -.84507 (24*2π)/28412 weeks
25-.57817 -.40942 (25*2π)/28411 weeks
26-.42003 -.78889 (26*2π)/28411 weeks
27-.51073 -.23116 (27*2π)/28411 weeks
28-.30243 -.71265 (28*2π)/28410 weeks
29-.46908 -.3162 (29*2π)/28410 weeks
30-.31531 -.20897 (30*2π)/2849 weeks
31-.05587 -.41801 (31*2π)/2849 weeks
32-.1434 -.13742 (32*2π)/2849 weeks
33-.07079 -.22183 (33*2π)/2849 weeks
34.10268 -.2501 (34*2π)/2848 weeks
35-.20008 -.32566 (35*2π)/2848 weeks
36-.0987 -.4129 (36*2π)/2848 weeks
37-.36856 -.51368 (37*2π)/2848 weeks
38-.56178 -.0606 (38*2π)/2847 weeks
39.00505 -.20127 (39*2π)/2847 weeks
40-.1401 -.09698 (40*2π)/2847 weeks
41-.19167 -.34917 (41*2π)/2847 weeks
42-.20602 -.0524 (42*2π)/2847 weeks
43.05988 -.31709 (43*2π)/2847 weeks
44-.39325 -.22371 (44*2π)/2846 weeks
45.0459 .02631 (45*2π)/2846 weeks
46.17372 -.28267 (46*2π)/2846 weeks
47.05903 -.44782 (47*2π)/2846 weeks
48-.10226 -.37877 (48*2π)/2846 weeks
49-.07597 -.14604 (49*2π)/2846 weeks
50-.11546 -.29809 (50*2π)/2846 weeks
51-.16136 -.21834 (51*2π)/2846 weeks
52-.20524 -.1464 (52*2π)/2845 weeks
53-.07964 -.21853 (53*2π)/2845 weeks
54-.17871 -.31265 (54*2π)/2845 weeks
55-.25004 -.17706 (55*2π)/2845 weeks
56-.07776 -.15165 (56*2π)/2845 weeks
57-.29008 -.19791 (57*2π)/2845 weeks
58-.08644 -.22916 (58*2π)/2845 weeks
59-.04305 -.00532 (59*2π)/2845 weeks
60-.0501 -.36398 (60*2π)/2845 weeks
61.07468 -.16324 (61*2π)/2845 weeks
62-.21407 -.45386 (62*2π)/2845 weeks
63-.34101 -.1388 (63*2π)/2845 weeks
64-.06573 -.10273 (64*2π)/2844 weeks
65-.17204 -.32854 (65*2π)/2844 weeks
66-.35082 -.10902 (66*2π)/2844 weeks
67-.12922 -.11042 (67*2π)/2844 weeks
68-.28274 -.13819 (68*2π)/2844 weeks
69-.22555 -.08361 (69*2π)/2844 weeks
70-.16383 -.02478 (70*2π)/2844 weeks
71-.09465 -.21993 (71*2π)/2844 weeks
72-.13873 -.20515 (72*2π)/2844 weeks
73-.13068 -.16253 (73*2π)/2844 weeks
74-.07422 -.1839 (74*2π)/2844 weeks
75-.17655 -.25035 (75*2π)/2844 weeks
76-.20083 -.16407 (76*2π)/2844 weeks
77-.16433 -.10779 (77*2π)/2844 weeks
78-.21996 -.14344 (78*2π)/2844 weeks
79-.17322 -.2082 (79*2π)/2844 weeks
80-.19265 -.04921 (80*2π)/2844 weeks
81-.24095 -.05132 (81*2π)/2844 weeks
82-.21331 -.08334 (82*2π)/2843 weeks
83-.09377 .03421 (83*2π)/2843 weeks
84-.14711 -.13167 (84*2π)/2843 weeks
85-.07107 -.02777 (85*2π)/2843 weeks
86-.1006 -.14048 (86*2π)/2843 weeks
87-.27095 -.16082 (87*2π)/2843 weeks
88-.07605 -.03482 (88*2π)/2843 weeks
89-.15006 -.06263 (89*2π)/2843 weeks
90-.06174 -.12999 (90*2π)/2843 weeks
91-.10645 -.11278 (91*2π)/2843 weeks
92-.18345 -.12042 (92*2π)/2843 weeks
93-.10756 -.05184 (93*2π)/2843 weeks
94-.05916 -.07685 (94*2π)/2843 weeks
95-.11362 -.09606 (95*2π)/2843 weeks
96-.05072 -.0886 (96*2π)/2843 weeks
97-.23655 -.18459 (97*2π)/2843 weeks
98-.06773 .01056 (98*2π)/2843 weeks
99-.16443 -.17339 (99*2π)/2843 weeks
100-.11771 -.07812 (100*2π)/2843 weeks
101-.13683 -.06134 (101*2π)/2843 weeks
102-.02011 -.11903 (102*2π)/2843 weeks
103-.14804 -.1201 (103*2π)/2843 weeks
104-.04039 -.10553 (104*2π)/2843 weeks
105-.10235 -.18704 (105*2π)/2843 weeks
106-.16911 -.14603 (106*2π)/2843 weeks
107-.1272 -.10055 (107*2π)/2843 weeks
108-.17256 .02396 (108*2π)/2843 weeks
109-.11183 .00291 (109*2π)/2843 weeks
110-.10419 .00772 (110*2π)/2843 weeks
111-.17221 -.09624 (111*2π)/2843 weeks
112-.19429 -.01334 (112*2π)/2843 weeks
113-.10756 .00656 (113*2π)/2843 weeks
114-.13251 -.06845 (114*2π)/2842 weeks
115-.15651 -.1142 (115*2π)/2842 weeks
116-.19584 -.05917 (116*2π)/2842 weeks
117-.17115 -.02853 (117*2π)/2842 weeks
118-.19551 -.0574 (118*2π)/2842 weeks
119-.2006 -.01615 (119*2π)/2842 weeks
120-.10146 .05567 (120*2π)/2842 weeks
121-.13209 -.05847 (121*2π)/2842 weeks
122-.14063 -.01214 (122*2π)/2842 weeks
123-.08732 -.08313 (123*2π)/2842 weeks
124-.21537 -.01533 (124*2π)/2842 weeks
125-.05971 -.05162 (125*2π)/2842 weeks
126-.18133 .03948 (126*2π)/2842 weeks
127-.1497 -.04335 (127*2π)/2842 weeks
128-.13533 -.01903 (128*2π)/2842 weeks
129-.17797 -.06544 (129*2π)/2842 weeks
130-.15737 .02804 (130*2π)/2842 weeks
131-.04743 -.04007 (131*2π)/2842 weeks
132-.1643 -.02919 (132*2π)/2842 weeks
133-.06566 -.01331 (133*2π)/2842 weeks
134-.12122 -.02728 (134*2π)/2842 weeks
135-.11786 -.0352 (135*2π)/2842 weeks
136-.13437 .07067 (136*2π)/2842 weeks
137-.01286 -.03159 (137*2π)/2842 weeks
138-.20047 .03903 (138*2π)/2842 weeks
139-.08662 .0065 (139*2π)/2842 weeks
140-.13745 .00938 (140*2π)/2842 weeks
141-.19182 -.00876 (141*2π)/2842 weeks
142-.16768   (142*2π)/2842 weeks
143-.19182 .00876 (143*2π)/2842 weeks
144-.13745 -.00938 (144*2π)/2842 weeks
145-.08662 -.0065 (145*2π)/2842 weeks
146-.20047 -.03903 (146*2π)/2842 weeks
147-.01286 .03159 (147*2π)/2842 weeks
148-.13437 -.07067 (148*2π)/2842 weeks
149-.11786 .0352 (149*2π)/2842 weeks
150-.12122 .02728 (150*2π)/2842 weeks
151-.06566 .01331 (151*2π)/2842 weeks
152-.1643 .02919 (152*2π)/2842 weeks
153-.04743 .04007 (153*2π)/2842 weeks
154-.15737 -.02804 (154*2π)/2842 weeks
155-.17797 .06544 (155*2π)/2842 weeks
156-.13533 .01903 (156*2π)/2842 weeks
157-.1497 .04335 (157*2π)/2842 weeks
158-.18133 -.03948 (158*2π)/2842 weeks
159-.05971 .05162 (159*2π)/2842 weeks
160-.21537 .01533 (160*2π)/2842 weeks
161-.08732 .08313 (161*2π)/2842 weeks
162-.14063 .01214 (162*2π)/2842 weeks
163-.13209 .05847 (163*2π)/2842 weeks
164-.10146 -.05567 (164*2π)/2842 weeks
165-.2006 .01615 (165*2π)/2842 weeks
166-.19551 .0574 (166*2π)/2842 weeks
167-.17115 .02853 (167*2π)/2842 weeks
168-.19584 .05917 (168*2π)/2842 weeks
169-.15651 .1142 (169*2π)/2842 weeks
170-.13251 .06845 (170*2π)/2842 weeks
171-.10756 -.00656 (171*2π)/2842 weeks
172-.19429 .01334 (172*2π)/2842 weeks
173-.17221 .09624 (173*2π)/2842 weeks
174-.10419 -.00772 (174*2π)/2842 weeks
175-.11183 -.00291 (175*2π)/2842 weeks
176-.17256 -.02396 (176*2π)/2842 weeks
177-.1272 .10055 (177*2π)/2842 weeks
178-.16911 .14603 (178*2π)/2842 weeks
179-.10235 .18704 (179*2π)/2842 weeks
180-.04039 .10553 (180*2π)/2842 weeks
181-.14804 .1201 (181*2π)/2842 weeks
182-.02011 .11903 (182*2π)/2842 weeks
183-.13683 .06134 (183*2π)/2842 weeks
184-.11771 .07812 (184*2π)/2842 weeks
185-.16443 .17339 (185*2π)/2842 weeks
186-.06773 -.01056 (186*2π)/2842 weeks
187-.23655 .18459 (187*2π)/2842 weeks
188-.05072 .0886 (188*2π)/2842 weeks
189-.11362 .09606 (189*2π)/2842 weeks
190-.05916 .07685 (190*2π)/2841 weeks
191-.10756 .05184 (191*2π)/2841 weeks
192-.18345 .12042 (192*2π)/2841 weeks
193-.10645 .11278 (193*2π)/2841 weeks
194-.06174 .12999 (194*2π)/2841 weeks
195-.15006 .06263 (195*2π)/2841 weeks
196-.07605 .03482 (196*2π)/2841 weeks
197-.27095 .16082 (197*2π)/2841 weeks
198-.1006 .14048 (198*2π)/2841 weeks
199-.07107 .02777 (199*2π)/2841 weeks
200-.14711 .13167 (200*2π)/2841 weeks
201-.09377 -.03421 (201*2π)/2841 weeks
202-.21331 .08334 (202*2π)/2841 weeks
203-.24095 .05132 (203*2π)/2841 weeks
204-.19265 .04921 (204*2π)/2841 weeks
205-.17322 .2082 (205*2π)/2841 weeks
206-.21996 .14344 (206*2π)/2841 weeks
207-.16433 .10779 (207*2π)/2841 weeks
208-.20083 .16407 (208*2π)/2841 weeks
209-.17655 .25035 (209*2π)/2841 weeks
210-.07422 .1839 (210*2π)/2841 weeks
211-.13068 .16253 (211*2π)/2841 weeks
212-.13873 .20515 (212*2π)/2841 weeks
213-.09465 .21993 (213*2π)/2841 weeks
214-.16383 .02478 (214*2π)/2841 weeks
215-.22555 .08361 (215*2π)/2841 weeks
216-.28274 .13819 (216*2π)/2841 weeks
217-.12922 .11042 (217*2π)/2841 weeks
218-.35082 .10902 (218*2π)/2841 weeks
219-.17204 .32854 (219*2π)/2841 weeks
220-.06573 .10273 (220*2π)/2841 weeks
221-.34101 .1388 (221*2π)/2841 weeks
222-.21407 .45386 (222*2π)/2841 weeks
223.07468 .16324 (223*2π)/2841 weeks
224-.0501 .36398 (224*2π)/2841 weeks
225-.04305 .00532 (225*2π)/2841 weeks
226-.08644 .22916 (226*2π)/2841 weeks
227-.29008 .19791 (227*2π)/2841 weeks
228-.07776 .15165 (228*2π)/2841 weeks
229-.25004 .17706 (229*2π)/2841 weeks
230-.17871 .31265 (230*2π)/2841 weeks
231-.07964 .21853 (231*2π)/2841 weeks
232-.20524 .1464 (232*2π)/2841 weeks
233-.16136 .21834 (233*2π)/2841 weeks
234-.11546 .29809 (234*2π)/2841 weeks
235-.07597 .14604 (235*2π)/2841 weeks
236-.10226 .37877 (236*2π)/2841 weeks
237.05903 .44782 (237*2π)/2841 weeks
238.17372 .28267 (238*2π)/2841 weeks
239.0459 -.02631 (239*2π)/2841 weeks
240-.39325 .22371 (240*2π)/2841 weeks
241.05988 .31709 (241*2π)/2841 weeks
242-.20602 .0524 (242*2π)/2841 weeks
243-.19167 .34917 (243*2π)/2841 weeks
244-.1401 .09698 (244*2π)/2841 weeks
245.00505 .20127 (245*2π)/2841 weeks
246-.56178 .0606 (246*2π)/2841 weeks
247-.36856 .51368 (247*2π)/2841 weeks
248-.0987 .4129 (248*2π)/2841 weeks
249-.20008 .32566 (249*2π)/2841 weeks
250.10268 .2501 (250*2π)/2841 weeks
251-.07079 .22183 (251*2π)/2841 weeks
252-.1434 .13742 (252*2π)/2841 weeks
253-.05587 .41801 (253*2π)/2841 weeks
254-.31531 .20897 (254*2π)/2841 weeks
255-.46908 .3162 (255*2π)/2841 weeks
256-.30243 .71265 (256*2π)/2841 weeks
257-.51073 .23116 (257*2π)/2841 weeks
258-.42003 .78889 (258*2π)/2841 weeks
259-.57817 .40942 (259*2π)/2841 weeks
260-.50953 .84507 (260*2π)/2841 weeks
261.06109 .81682 (261*2π)/2841 weeks
262-.24948 .72011 (262*2π)/2841 weeks
263.09267 .79122 (263*2π)/2841 weeks
264-.19091 .83088 (264*2π)/2841 weeks
265.11689 .95051 (265*2π)/2841 weeks
266.24759 .88248 (266*2π)/2841 weeks
267.6197 .92877 (267*2π)/2841 weeks
268.1824 .41871 (268*2π)/2841 weeks
269-.1803 .70758 (269*2π)/2841 weeks
270-.55447 1.30918 (270*2π)/2841 weeks
271.25273 1.29481 (271*2π)/2841 weeks
272.0898 1.5466 (272*2π)/2841 weeks
273.43777 1.45721 (273*2π)/2841 weeks
274.41681 .63503 (274*2π)/2841 weeks
275-.33602 1.88425 (275*2π)/2841 weeks
276.42186 1.43053 (276*2π)/2841 weeks
2771.50673 1.06214 (277*2π)/2841 weeks
278-.98864 1.06081 (278*2π)/2841 weeks
2791.49478 2.66826 (279*2π)/2841 weeks
280.14695 4.72703 (280*2π)/2841 weeks
2813.67181 3.61088 (281*2π)/2841 weeks
2824.47228 3.22459 (282*2π)/2841 weeks