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# Fourier Analysis of HZNP (Horizon Pharma Public Limited Company)

HZNP (Horizon Pharma Public Limited Company) appears to have interesting cyclic behaviour every 29 weeks (.582*cosine), 27 weeks (.5433*sine), and 35 weeks (.5295*sine).

HZNP (Horizon Pharma Public Limited Company) has an average price of 12.49 (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 7/28/2011 to 4/16/2018 for HZNP (Horizon Pharma Public Limited Company), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
012.48567   0
1-4.643 -8.38667 (1*2π)/352352 weeks
22.47591 1.39599 (2*2π)/352176 weeks
3.10806 -1.68172 (3*2π)/352117 weeks
4-.89034 .91297 (4*2π)/35288 weeks
52.82677 -2.07353 (5*2π)/35270 weeks
6-1.78924 -.3113 (6*2π)/35259 weeks
71.27063 -.39947 (7*2π)/35250 weeks
8-.5116 -.16963 (8*2π)/35244 weeks
9.02325 .49305 (9*2π)/35239 weeks
10-.13609 -.52954 (10*2π)/35235 weeks
11-.5191 .35939 (11*2π)/35232 weeks
12.58201 -.35991 (12*2π)/35229 weeks
13-.30117 -.54332 (13*2π)/35227 weeks
14-.14992 .06106 (14*2π)/35225 weeks
15.1601 -.03111 (15*2π)/35223 weeks
16-.33412 -.23015 (16*2π)/35222 weeks
17-.05388 .23625 (17*2π)/35221 weeks
18-.00786 -.42774 (18*2π)/35220 weeks
19.02485 .18428 (19*2π)/35219 weeks
20.33498 -.53775 (20*2π)/35218 weeks
21-.04276 -.21801 (21*2π)/35217 weeks
22-.16717 .13952 (22*2π)/35216 weeks
23.31457 -.13481 (23*2π)/35215 weeks
24-.203 .16486 (24*2π)/35215 weeks
25.04052 -.19405 (25*2π)/35214 weeks
26.00697 .11427 (26*2π)/35214 weeks
27-.06696 -.22001 (27*2π)/35213 weeks
28.29034 .08579 (28*2π)/35213 weeks
29-.00216 -.20679 (29*2π)/35212 weeks
30-.26573 .00537 (30*2π)/35212 weeks
31-.11563 .29236 (31*2π)/35211 weeks
32-.10133 -.06863 (32*2π)/35211 weeks
33-.1035 .1257 (33*2π)/35211 weeks
34.05404 -.28146 (34*2π)/35210 weeks
35-.19705 -.00434 (35*2π)/35210 weeks
36.0012 -.06422 (36*2π)/35210 weeks
37-.15876 -.01699 (37*2π)/35210 weeks
38-.15882 .13157 (38*2π)/3529 weeks
39.11095 -.00996 (39*2π)/3529 weeks
40-.12789 -.18303 (40*2π)/3529 weeks
41.09954 -.05976 (41*2π)/3529 weeks
42-.00869 -.06874 (42*2π)/3528 weeks
43.08455 -.1163 (43*2π)/3528 weeks
44.08294 -.12474 (44*2π)/3528 weeks
45-.33402 -.10793 (45*2π)/3528 weeks
46.08877 .30719 (46*2π)/3528 weeks
47.23811 -.2024 (47*2π)/3527 weeks
48-.1104 -.15338 (48*2π)/3527 weeks
49.1894 -.00156 (49*2π)/3527 weeks
50-.10623 -.08211 (50*2π)/3527 weeks
51.15137 .23651 (51*2π)/3527 weeks
52.18522 -.05534 (52*2π)/3527 weeks
53.0893 -.0212 (53*2π)/3527 weeks
54.01102 -.2128 (54*2π)/3527 weeks
55-.16059 .12434 (55*2π)/3526 weeks
56.23708 -.01229 (56*2π)/3526 weeks
57-.09753 -.10024 (57*2π)/3526 weeks
58-.02978 -.02831 (58*2π)/3526 weeks
59-.1291 .07375 (59*2π)/3526 weeks
60.06278 .02465 (60*2π)/3526 weeks
61-.00745 -.07751 (61*2π)/3526 weeks
62.02047 .0393 (62*2π)/3526 weeks
63-.11179 -.16621 (63*2π)/3526 weeks
64.05383 .01881 (64*2π)/3526 weeks
65-.19856 -.1313 (65*2π)/3525 weeks
66.01246 .11264 (66*2π)/3525 weeks
67.02371 .02588 (67*2π)/3525 weeks
68-.09319 -.09156 (68*2π)/3525 weeks
69.01345 .00185 (69*2π)/3525 weeks
70-.16153 -.0856 (70*2π)/3525 weeks
71.02908 .08993 (71*2π)/3525 weeks
72.08004 -.11491 (72*2π)/3525 weeks
73-.15016 -.08237 (73*2π)/3525 weeks
74-.06668 .10348 (74*2π)/3525 weeks
75.11459 .06996 (75*2π)/3525 weeks
76.05354 -.17984 (76*2π)/3525 weeks
77-.12991 -.07314 (77*2π)/3525 weeks
78-.02495 -.01721 (78*2π)/3525 weeks
79-.02619 .02189 (79*2π)/3524 weeks
80-.02012 .06379 (80*2π)/3524 weeks
81.09957 -.08942 (81*2π)/3524 weeks
82-.05226 .06142 (82*2π)/3524 weeks
83.00288 -.02719 (83*2π)/3524 weeks
84.06635 .05933 (84*2π)/3524 weeks
85.00277 -.02787 (85*2π)/3524 weeks
86-.01184 -.06972 (86*2π)/3524 weeks
87-.02152 .10304 (87*2π)/3524 weeks
88.05404 -.044 (88*2π)/3524 weeks
89.01818 .05276 (89*2π)/3524 weeks
90.03531 -.01093 (90*2π)/3524 weeks
91.00307 -.03133 (91*2π)/3524 weeks
92-.06562 .03354 (92*2π)/3524 weeks
93-.01049 .01056 (93*2π)/3524 weeks
94-.08745 .03756 (94*2π)/3524 weeks
95.06748 .07162 (95*2π)/3524 weeks
96.00174 -.07965 (96*2π)/3524 weeks
97-.07769 -.01075 (97*2π)/3524 weeks
98-.00721 .06308 (98*2π)/3524 weeks
99.00907 -.1558 (99*2π)/3524 weeks
100-.14567 .0719 (100*2π)/3524 weeks
101.09161 -.01595 (101*2π)/3523 weeks
102-.05894 -.05721 (102*2π)/3523 weeks
103-.0618 .12204 (103*2π)/3523 weeks
104.11414 -.05983 (104*2π)/3523 weeks
105-.08072 -.0234 (105*2π)/3523 weeks
106-.00603 -.03492 (106*2π)/3523 weeks
107-.04407 -.0611 (107*2π)/3523 weeks
108.01561 .09112 (108*2π)/3523 weeks
109.03909 -.08032 (109*2π)/3523 weeks
110-.02746 .02905 (110*2π)/3523 weeks
111.03767 .02396 (111*2π)/3523 weeks
112-.01162 -.12174 (112*2π)/3523 weeks
113-.10116 -.00056 (113*2π)/3523 weeks
114-.00442 .06869 (114*2π)/3523 weeks
115.05543 -.07207 (115*2π)/3523 weeks
116-.03467 .00165 (116*2π)/3523 weeks
117.04308 -.05237 (117*2π)/3523 weeks
118-.04501 -.02768 (118*2π)/3523 weeks
119-.06952 -.01153 (119*2π)/3523 weeks
120-.0313 .02005 (120*2π)/3523 weeks
121.01937 -.01104 (121*2π)/3523 weeks
122-.02648 -.07188 (122*2π)/3523 weeks
123-.05877 .00592 (123*2π)/3523 weeks
124-.01569 .0075 (124*2π)/3523 weeks
125.02069 .02256 (125*2π)/3523 weeks
126-.01731 -.03664 (126*2π)/3523 weeks
127.0009 .02748 (127*2π)/3523 weeks
128-.04838 .00017 (128*2π)/3523 weeks
129-.00017 .04537 (129*2π)/3523 weeks
130.03146 .03948 (130*2π)/3523 weeks
131.08816 -.02898 (131*2π)/3523 weeks
132-.07732 -.05924 (132*2π)/3523 weeks
133-.10978 .01922 (133*2π)/3523 weeks
134-.02209 .12741 (134*2π)/3523 weeks
135.01238 -.10977 (135*2π)/3523 weeks
136-.03204 .08098 (136*2π)/3523 weeks
137.04609 -.06583 (137*2π)/3523 weeks
138-.03316 .06164 (138*2π)/3523 weeks
139.07742 .03822 (139*2π)/3523 weeks
140.0479 -.14661 (140*2π)/3523 weeks
141-.18389 -.01219 (141*2π)/3522 weeks
142.0073 .03836 (142*2π)/3522 weeks
143-.03367 .04376 (143*2π)/3522 weeks
144.00245 .01733 (144*2π)/3522 weeks
145.07252 -.02406 (145*2π)/3522 weeks
146-.11472 -.06868 (146*2π)/3522 weeks
147-.02877 .05797 (147*2π)/3522 weeks
148-.0143 -.03306 (148*2π)/3522 weeks
149-.02687 .05614 (149*2π)/3522 weeks
150.01195 -.05743 (150*2π)/3522 weeks
151-.04035 .02197 (151*2π)/3522 weeks
152-.02723 .05782 (152*2π)/3522 weeks
153.04184 -.0967 (153*2π)/3522 weeks
154-.07806 .06537 (154*2π)/3522 weeks
155.02649 .0036 (155*2π)/3522 weeks
156-.01716 -.0233 (156*2π)/3522 weeks
157-.12181 .09041 (157*2π)/3522 weeks
158.13377 .04056 (158*2π)/3522 weeks
159-.04168 -.10271 (159*2π)/3522 weeks
160-.0434 -.00488 (160*2π)/3522 weeks
161.04648 -.0143 (161*2π)/3522 weeks
162-.09279 -.02284 (162*2π)/3522 weeks
163.02134 -.00197 (163*2π)/3522 weeks
164-.07688 .04929 (164*2π)/3522 weeks
165.0297 .00198 (165*2π)/3522 weeks
166.02971 -.04051 (166*2π)/3522 weeks
167-.03316 .06823 (167*2π)/3522 weeks
168.0665 -.03839 (168*2π)/3522 weeks
169-.02653 -.0047 (169*2π)/3522 weeks
170-.07133 .03522 (170*2π)/3522 weeks
171.06559 .0175 (171*2π)/3522 weeks
172.00047 -.02173 (172*2π)/3522 weeks
173-.04993 -.03271 (173*2π)/3522 weeks
174.02508 .08829 (174*2π)/3522 weeks
175-.01503 -.04053 (175*2π)/3522 weeks
176-.05112   (176*2π)/3522 weeks
177-.01503 .04053 (177*2π)/3522 weeks
178.02508 -.08829 (178*2π)/3522 weeks
179-.04993 .03271 (179*2π)/3522 weeks
180.00047 .02173 (180*2π)/3522 weeks
181.06559 -.0175 (181*2π)/3522 weeks
182-.07133 -.03522 (182*2π)/3522 weeks
183-.02653 .0047 (183*2π)/3522 weeks
184.0665 .03839 (184*2π)/3522 weeks
185-.03316 -.06823 (185*2π)/3522 weeks
186.02971 .04051 (186*2π)/3522 weeks
187.0297 -.00198 (187*2π)/3522 weeks
188-.07688 -.04929 (188*2π)/3522 weeks
189.02134 .00197 (189*2π)/3522 weeks
190-.09279 .02284 (190*2π)/3522 weeks
191.04648 .0143 (191*2π)/3522 weeks
192-.0434 .00488 (192*2π)/3522 weeks
193-.04168 .10271 (193*2π)/3522 weeks
194.13377 -.04056 (194*2π)/3522 weeks
195-.12181 -.09041 (195*2π)/3522 weeks
196-.01716 .0233 (196*2π)/3522 weeks
197.02649 -.0036 (197*2π)/3522 weeks
198-.07806 -.06537 (198*2π)/3522 weeks
199.04184 .0967 (199*2π)/3522 weeks
200-.02723 -.05782 (200*2π)/3522 weeks
201-.04035 -.02197 (201*2π)/3522 weeks
202.01195 .05743 (202*2π)/3522 weeks
203-.02687 -.05614 (203*2π)/3522 weeks
204-.0143 .03306 (204*2π)/3522 weeks
205-.02877 -.05797 (205*2π)/3522 weeks
206-.11472 .06868 (206*2π)/3522 weeks
207.07252 .02406 (207*2π)/3522 weeks
208.00245 -.01733 (208*2π)/3522 weeks
209-.03367 -.04376 (209*2π)/3522 weeks
210.0073 -.03836 (210*2π)/3522 weeks
211-.18389 .01219 (211*2π)/3522 weeks
212.0479 .14661 (212*2π)/3522 weeks
213.07742 -.03822 (213*2π)/3522 weeks
214-.03316 -.06164 (214*2π)/3522 weeks
215.04609 .06583 (215*2π)/3522 weeks
216-.03204 -.08098 (216*2π)/3522 weeks
217.01238 .10977 (217*2π)/3522 weeks
218-.02209 -.12741 (218*2π)/3522 weeks
219-.10978 -.01922 (219*2π)/3522 weeks
220-.07732 .05924 (220*2π)/3522 weeks
221.08816 .02898 (221*2π)/3522 weeks
222.03146 -.03948 (222*2π)/3522 weeks
223-.00017 -.04537 (223*2π)/3522 weeks
224-.04838 -.00017 (224*2π)/3522 weeks
225.0009 -.02748 (225*2π)/3522 weeks
226-.01731 .03664 (226*2π)/3522 weeks
227.02069 -.02256 (227*2π)/3522 weeks
228-.01569 -.0075 (228*2π)/3522 weeks
229-.05877 -.00592 (229*2π)/3522 weeks
230-.02648 .07188 (230*2π)/3522 weeks
231.01937 .01104 (231*2π)/3522 weeks
232-.0313 -.02005 (232*2π)/3522 weeks
233-.06952 .01153 (233*2π)/3522 weeks
234-.04501 .02768 (234*2π)/3522 weeks
235.04308 .05237 (235*2π)/3521 weeks
236-.03467 -.00165 (236*2π)/3521 weeks
237.05543 .07207 (237*2π)/3521 weeks
238-.00442 -.06869 (238*2π)/3521 weeks
239-.10116 .00056 (239*2π)/3521 weeks
240-.01162 .12174 (240*2π)/3521 weeks
241.03767 -.02396 (241*2π)/3521 weeks
242-.02746 -.02905 (242*2π)/3521 weeks
243.03909 .08032 (243*2π)/3521 weeks
244.01561 -.09112 (244*2π)/3521 weeks
245-.04407 .0611 (245*2π)/3521 weeks
246-.00603 .03492 (246*2π)/3521 weeks
247-.08072 .0234 (247*2π)/3521 weeks
248.11414 .05983 (248*2π)/3521 weeks
249-.0618 -.12204 (249*2π)/3521 weeks
250-.05894 .05721 (250*2π)/3521 weeks
251.09161 .01595 (251*2π)/3521 weeks
252-.14567 -.0719 (252*2π)/3521 weeks
253.00907 .1558 (253*2π)/3521 weeks
254-.00721 -.06308 (254*2π)/3521 weeks
255-.07769 .01075 (255*2π)/3521 weeks
256.00174 .07965 (256*2π)/3521 weeks
257.06748 -.07162 (257*2π)/3521 weeks
258-.08745 -.03756 (258*2π)/3521 weeks
259-.01049 -.01056 (259*2π)/3521 weeks
260-.06562 -.03354 (260*2π)/3521 weeks
261.00307 .03133 (261*2π)/3521 weeks
262.03531 .01093 (262*2π)/3521 weeks
263.01818 -.05276 (263*2π)/3521 weeks
264.05404 .044 (264*2π)/3521 weeks
265-.02152 -.10304 (265*2π)/3521 weeks
266-.01184 .06972 (266*2π)/3521 weeks
267.00277 .02787 (267*2π)/3521 weeks
268.06635 -.05933 (268*2π)/3521 weeks
269.00288 .02719 (269*2π)/3521 weeks
270-.05226 -.06142 (270*2π)/3521 weeks
271.09957 .08942 (271*2π)/3521 weeks
272-.02012 -.06379 (272*2π)/3521 weeks
273-.02619 -.02189 (273*2π)/3521 weeks
274-.02495 .01721 (274*2π)/3521 weeks
275-.12991 .07314 (275*2π)/3521 weeks
276.05354 .17984 (276*2π)/3521 weeks
277.11459 -.06996 (277*2π)/3521 weeks
278-.06668 -.10348 (278*2π)/3521 weeks
279-.15016 .08237 (279*2π)/3521 weeks
280.08004 .11491 (280*2π)/3521 weeks
281.02908 -.08993 (281*2π)/3521 weeks
282-.16153 .0856 (282*2π)/3521 weeks
283.01345 -.00185 (283*2π)/3521 weeks
284-.09319 .09156 (284*2π)/3521 weeks
285.02371 -.02588 (285*2π)/3521 weeks
286.01246 -.11264 (286*2π)/3521 weeks
287-.19856 .1313 (287*2π)/3521 weeks
288.05383 -.01881 (288*2π)/3521 weeks
289-.11179 .16621 (289*2π)/3521 weeks
290.02047 -.0393 (290*2π)/3521 weeks
291-.00745 .07751 (291*2π)/3521 weeks
292.06278 -.02465 (292*2π)/3521 weeks
293-.1291 -.07375 (293*2π)/3521 weeks
294-.02978 .02831 (294*2π)/3521 weeks
295-.09753 .10024 (295*2π)/3521 weeks
296.23708 .01229 (296*2π)/3521 weeks
297-.16059 -.12434 (297*2π)/3521 weeks
298.01102 .2128 (298*2π)/3521 weeks
299.0893 .0212 (299*2π)/3521 weeks
300.18522 .05534 (300*2π)/3521 weeks
301.15137 -.23651 (301*2π)/3521 weeks
302-.10623 .08211 (302*2π)/3521 weeks
303.1894 .00156 (303*2π)/3521 weeks
304-.1104 .15338 (304*2π)/3521 weeks
305.23811 .2024 (305*2π)/3521 weeks
306.08877 -.30719 (306*2π)/3521 weeks
307-.33402 .10793 (307*2π)/3521 weeks
308.08294 .12474 (308*2π)/3521 weeks
309.08455 .1163 (309*2π)/3521 weeks
310-.00869 .06874 (310*2π)/3521 weeks
311.09954 .05976 (311*2π)/3521 weeks
312-.12789 .18303 (312*2π)/3521 weeks
313.11095 .00996 (313*2π)/3521 weeks
314-.15882 -.13157 (314*2π)/3521 weeks
315-.15876 .01699 (315*2π)/3521 weeks
316.0012 .06422 (316*2π)/3521 weeks
317-.19705 .00434 (317*2π)/3521 weeks
318.05404 .28146 (318*2π)/3521 weeks
319-.1035 -.1257 (319*2π)/3521 weeks
320-.10133 .06863 (320*2π)/3521 weeks
321-.11563 -.29236 (321*2π)/3521 weeks
322-.26573 -.00537 (322*2π)/3521 weeks
323-.00216 .20679 (323*2π)/3521 weeks
324.29034 -.08579 (324*2π)/3521 weeks
325-.06696 .22001 (325*2π)/3521 weeks
326.00697 -.11427 (326*2π)/3521 weeks
327.04052 .19405 (327*2π)/3521 weeks
328-.203 -.16486 (328*2π)/3521 weeks
329.31457 .13481 (329*2π)/3521 weeks
330-.16717 -.13952 (330*2π)/3521 weeks
331-.04276 .21801 (331*2π)/3521 weeks
332.33498 .53775 (332*2π)/3521 weeks
333.02485 -.18428 (333*2π)/3521 weeks
334-.00786 .42774 (334*2π)/3521 weeks
335-.05388 -.23625 (335*2π)/3521 weeks
336-.33412 .23015 (336*2π)/3521 weeks
337.1601 .03111 (337*2π)/3521 weeks
338-.14992 -.06106 (338*2π)/3521 weeks
339-.30117 .54332 (339*2π)/3521 weeks
340.58201 .35991 (340*2π)/3521 weeks
341-.5191 -.35939 (341*2π)/3521 weeks
342-.13609 .52954 (342*2π)/3521 weeks
343.02325 -.49305 (343*2π)/3521 weeks
344-.5116 .16963 (344*2π)/3521 weeks
3451.27063 .39947 (345*2π)/3521 weeks
346-1.78924 .3113 (346*2π)/3521 weeks
3472.82677 2.07353 (347*2π)/3521 weeks
348-.89034 -.91297 (348*2π)/3521 weeks
349.10806 1.68172 (349*2π)/3521 weeks
3502.47591 -1.39599 (350*2π)/3521 weeks