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Fourier Analysis of ALPMY (ASTELLAS PHARMA INC)


ALPMY (ASTELLAS PHARMA INC) appears to have interesting cyclic behaviour every 25 weeks (.2567*sine), 31 weeks (.2059*sine), and 34 weeks (.1905*sine).

ALPMY (ASTELLAS PHARMA INC) has an average price of 11.05 (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.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 12/29/2009 to 2/13/2017 for ALPMY (ASTELLAS PHARMA INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
011.0479   0 
1-.23062 -3.88322 (1*2π)/373373 weeks
2-.29313 -1.01068 (2*2π)/373187 weeks
3.23029 -.44822 (3*2π)/373124 weeks
4.05054 -1.09447 (4*2π)/37393 weeks
5-.16198 -.64389 (5*2π)/37375 weeks
6-.15999 -.36575 (6*2π)/37362 weeks
7-.0743 -.29928 (7*2π)/37353 weeks
8-.0827 -.15556 (8*2π)/37347 weeks
9-.07073 -.09316 (9*2π)/37341 weeks
10-.1601 -.13788 (10*2π)/37337 weeks
11.17416 .19051 (11*2π)/37334 weeks
12-.03659 -.20592 (12*2π)/37331 weeks
13.0304 -.10311 (13*2π)/37329 weeks
14.11034 -.04329 (14*2π)/37327 weeks
15-.01327 -.25671 (15*2π)/37325 weeks
16-.0353 -.20099 (16*2π)/37323 weeks
17-.13982 -.10484 (17*2π)/37322 weeks
18.04781 -.0888 (18*2π)/37321 weeks
19.02605 -.20499 (19*2π)/37320 weeks
20-.09507 -.11552 (20*2π)/37319 weeks
21-.11238 .06779 (21*2π)/37318 weeks
22.10409 -.07458 (22*2π)/37317 weeks
23-.02273 -.07113 (23*2π)/37316 weeks
24.05433 -.19436 (24*2π)/37316 weeks
25-.09048 -.1245 (25*2π)/37315 weeks
26.02888 -.03222 (26*2π)/37314 weeks
27-.01605 -.11297 (27*2π)/37314 weeks
28.06598 -.03307 (28*2π)/37313 weeks
29-.0555 -.1503 (29*2π)/37313 weeks
30-.10214 -.03766 (30*2π)/37312 weeks
31-.03983 .00586 (31*2π)/37312 weeks
32.0028 -.05322 (32*2π)/37312 weeks
33-.04165 .0265 (33*2π)/37311 weeks
34.01766 -.06525 (34*2π)/37311 weeks
35-.04476 -.03833 (35*2π)/37311 weeks
36-.04974 -.04019 (36*2π)/37310 weeks
37.03957 -.01928 (37*2π)/37310 weeks
38-.02554 -.0657 (38*2π)/37310 weeks
39-.02351 -.03898 (39*2π)/37310 weeks
40-.04581 -.02583 (40*2π)/3739 weeks
41-.02141 .00583 (41*2π)/3739 weeks
42-.01382 -.06888 (42*2π)/3739 weeks
43.02437 .01737 (43*2π)/3739 weeks
44.0257 -.0977 (44*2π)/3738 weeks
45-.0263 -.03824 (45*2π)/3738 weeks
46-.04546 -.03703 (46*2π)/3738 weeks
47-.01581 .01293 (47*2π)/3738 weeks
48-.01788 -.02311 (48*2π)/3738 weeks
49-.00615 .01272 (49*2π)/3738 weeks
50.03736 -.01916 (50*2π)/3737 weeks
51.01911 -.04381 (51*2π)/3737 weeks
52.0014 -.02867 (52*2π)/3737 weeks
53-.01693 -.04891 (53*2π)/3737 weeks
54.00421 -.05019 (54*2π)/3737 weeks
55.00379 -.03725 (55*2π)/3737 weeks
56-.02195 -.05687 (56*2π)/3737 weeks
57-.03865 -.04791 (57*2π)/3737 weeks
58-.02444 -.02725 (58*2π)/3736 weeks
59-.0002 -.00191 (59*2π)/3736 weeks
60-.04075 -.0675 (60*2π)/3736 weeks
61-.01749 -.01401 (61*2π)/3736 weeks
62-.01757 -.01386 (62*2π)/3736 weeks
63-.01678 -.0576 (63*2π)/3736 weeks
64-.04149 -.00327 (64*2π)/3736 weeks
65.01476 -.01196 (65*2π)/3736 weeks
66.00782 -.01874 (66*2π)/3736 weeks
67-.05304 -.03613 (67*2π)/3736 weeks
68.00407 -.03622 (68*2π)/3735 weeks
69-.03379 -.05963 (69*2π)/3735 weeks
70-.03018 -.04906 (70*2π)/3735 weeks
71-.02265 -.03414 (71*2π)/3735 weeks
72-.04611 -.04797 (72*2π)/3735 weeks
73-.04217 -.01189 (73*2π)/3735 weeks
74.00409 .00399 (74*2π)/3735 weeks
75.01099 -.02468 (75*2π)/3735 weeks
76-.00069 -.01477 (76*2π)/3735 weeks
77-.02149 -.03187 (77*2π)/3735 weeks
78-.03998 -.03097 (78*2π)/3735 weeks
79-.0184 -.01155 (79*2π)/3735 weeks
80-.02498 -.03322 (80*2π)/3735 weeks
81-.00766 -.01987 (81*2π)/3735 weeks
82-.04237 -.05872 (82*2π)/3735 weeks
83-.03652 .00191 (83*2π)/3734 weeks
84-.04163 -.01306 (84*2π)/3734 weeks
85.00335 .0021 (85*2π)/3734 weeks
86-.00993 -.00357 (86*2π)/3734 weeks
87-.01311 -.01768 (87*2π)/3734 weeks
88-.02154 -.01423 (88*2π)/3734 weeks
89.00117 -.01413 (89*2π)/3734 weeks
90-.03559 -.02028 (90*2π)/3734 weeks
91.01488 -.04141 (91*2π)/3734 weeks
92-.02537 -.04665 (92*2π)/3734 weeks
93-.00589 -.01217 (93*2π)/3734 weeks
94-.01987 -.07029 (94*2π)/3734 weeks
95-.05715 -.05243 (95*2π)/3734 weeks
96-.04081 -.02748 (96*2π)/3734 weeks
97-.06991 .01658 (97*2π)/3734 weeks
98-.00723 .03448 (98*2π)/3734 weeks
99-.00057 -.01014 (99*2π)/3734 weeks
100-.00436 .00119 (100*2π)/3734 weeks
101-.00155 -.00185 (101*2π)/3734 weeks
102.00244 -.01578 (102*2π)/3734 weeks
103-.01751 -.03816 (103*2π)/3734 weeks
104-.01497 -.01334 (104*2π)/3734 weeks
105-.01398 -.02432 (105*2π)/3734 weeks
106-.0292 -.02272 (106*2π)/3734 weeks
107-.0269 .01455 (107*2π)/3733 weeks
108.0019 -.02228 (108*2π)/3733 weeks
109-.02933 -.01934 (109*2π)/3733 weeks
110-.00255 -.0208 (110*2π)/3733 weeks
111-.01932 -.00614 (111*2π)/3733 weeks
112-.03791 -.01617 (112*2π)/3733 weeks
113-.02174 -.00077 (113*2π)/3733 weeks
114-.02428 -.01663 (114*2π)/3733 weeks
115-.01572 -.00895 (115*2π)/3733 weeks
116-.01968 -.00857 (116*2π)/3733 weeks
117-.01097 -.0082 (117*2π)/3733 weeks
118-.0257 -.03385 (118*2π)/3733 weeks
119-.01695 .01316 (119*2π)/3733 weeks
120-.00702 -.02261 (120*2π)/3733 weeks
121-.01807 -.01016 (121*2π)/3733 weeks
122-.01972 -.02151 (122*2π)/3733 weeks
123-.00915 -.0105 (123*2π)/3733 weeks
124-.0201 .00857 (124*2π)/3733 weeks
125-.0001 -.02891 (125*2π)/3733 weeks
126-.01521 -.01856 (126*2π)/3733 weeks
127-.03031 -.04041 (127*2π)/3733 weeks
128-.02406 .00718 (128*2π)/3733 weeks
129-.0182 -.01819 (129*2π)/3733 weeks
130-.00424 .00743 (130*2π)/3733 weeks
131-.01795 -.02259 (131*2π)/3733 weeks
132.00425 -.00684 (132*2π)/3733 weeks
133-.012 -.03837 (133*2π)/3733 weeks
134-.01646 -.00724 (134*2π)/3733 weeks
135.00105 -.01712 (135*2π)/3733 weeks
136-.03258 -.02564 (136*2π)/3733 weeks
137-.02132 -.01772 (137*2π)/3733 weeks
138.00757 .00715 (138*2π)/3733 weeks
139-.02944 -.01516 (139*2π)/3733 weeks
140-.01975 -.00648 (140*2π)/3733 weeks
141-.03083 -.00046 (141*2π)/3733 weeks
142-.02791 -.00132 (142*2π)/3733 weeks
143-.03196 .00488 (143*2π)/3733 weeks
144-.00565 .00642 (144*2π)/3733 weeks
145-.01213 .00623 (145*2π)/3733 weeks
146-.01465 -.00825 (146*2π)/3733 weeks
147-.0065 .01657 (147*2π)/3733 weeks
148.00172 -.00491 (148*2π)/3733 weeks
149.00001 -.02285 (149*2π)/3733 weeks
150-.04052 .00245 (150*2π)/3732 weeks
151-.00042 -.00857 (151*2π)/3732 weeks
152-.02235 .00832 (152*2π)/3732 weeks
153-.02329 -.01447 (153*2π)/3732 weeks
154-.03567 -.00133 (154*2π)/3732 weeks
155-.01513 .01434 (155*2π)/3732 weeks
156-.02046 .0057 (156*2π)/3732 weeks
157-.01696 .00293 (157*2π)/3732 weeks
158.00562 .00124 (158*2π)/3732 weeks
159-.02477 -.00942 (159*2π)/3732 weeks
160-.02567 -.00004 (160*2π)/3732 weeks
161-.0343 .00466 (161*2π)/3732 weeks
162-.01141 .00685 (162*2π)/3732 weeks
163.01636 -.024 (163*2π)/3732 weeks
164-.03706 -.03303 (164*2π)/3732 weeks
165-.03661 .02234 (165*2π)/3732 weeks
166-.02629 -.00184 (166*2π)/3732 weeks
167-.02717 .00292 (167*2π)/3732 weeks
168-.00083 .00042 (168*2π)/3732 weeks
169-.02638 .01392 (169*2π)/3732 weeks
170.00931 .02363 (170*2π)/3732 weeks
171-.00397 -.00442 (171*2π)/3732 weeks
172-.00539 -.00711 (172*2π)/3732 weeks
173-.01356 -.00734 (173*2π)/3732 weeks
174-.02899 -.0057 (174*2π)/3732 weeks
175-.00219 -.01185 (175*2π)/3732 weeks
176-.02164 -.01499 (176*2π)/3732 weeks
177-.01942 .00726 (177*2π)/3732 weeks
178.00502 -.007 (178*2π)/3732 weeks
179-.01193 -.01283 (179*2π)/3732 weeks
180-.02367 -.00267 (180*2π)/3732 weeks
181.00048 .00131 (181*2π)/3732 weeks
182-.03497 -.00903 (182*2π)/3732 weeks
183-.02966 .00874 (183*2π)/3732 weeks
184-.01874 .00107 (184*2π)/3732 weeks
185-.01709 .00586 (185*2π)/3732 weeks
186-.01172 -.00316 (186*2π)/3732 weeks
187-.01172 .00316 (187*2π)/3732 weeks
188-.01709 -.00586 (188*2π)/3732 weeks
189-.01874 -.00107 (189*2π)/3732 weeks
190-.02966 -.00874 (190*2π)/3732 weeks
191-.03497 .00903 (191*2π)/3732 weeks
192.00048 -.00131 (192*2π)/3732 weeks
193-.02367 .00267 (193*2π)/3732 weeks
194-.01193 .01283 (194*2π)/3732 weeks
195.00502 .007 (195*2π)/3732 weeks
196-.01942 -.00726 (196*2π)/3732 weeks
197-.02164 .01499 (197*2π)/3732 weeks
198-.00219 .01185 (198*2π)/3732 weeks
199-.02899 .0057 (199*2π)/3732 weeks
200-.01356 .00734 (200*2π)/3732 weeks
201-.00539 .00711 (201*2π)/3732 weeks
202-.00397 .00442 (202*2π)/3732 weeks
203.00931 -.02363 (203*2π)/3732 weeks
204-.02638 -.01392 (204*2π)/3732 weeks
205-.00083 -.00042 (205*2π)/3732 weeks
206-.02717 -.00292 (206*2π)/3732 weeks
207-.02629 .00184 (207*2π)/3732 weeks
208-.03661 -.02234 (208*2π)/3732 weeks
209-.03706 .03303 (209*2π)/3732 weeks
210.01636 .024 (210*2π)/3732 weeks
211-.01141 -.00685 (211*2π)/3732 weeks
212-.0343 -.00466 (212*2π)/3732 weeks
213-.02567 .00004 (213*2π)/3732 weeks
214-.02477 .00942 (214*2π)/3732 weeks
215.00562 -.00124 (215*2π)/3732 weeks
216-.01696 -.00293 (216*2π)/3732 weeks
217-.02046 -.0057 (217*2π)/3732 weeks
218-.01513 -.01434 (218*2π)/3732 weeks
219-.03567 .00133 (219*2π)/3732 weeks
220-.02329 .01447 (220*2π)/3732 weeks
221-.02235 -.00832 (221*2π)/3732 weeks
222-.00042 .00857 (222*2π)/3732 weeks
223-.04052 -.00245 (223*2π)/3732 weeks
224.00001 .02285 (224*2π)/3732 weeks
225.00172 .00491 (225*2π)/3732 weeks
226-.0065 -.01657 (226*2π)/3732 weeks
227-.01465 .00825 (227*2π)/3732 weeks
228-.01213 -.00623 (228*2π)/3732 weeks
229-.00565 -.00642 (229*2π)/3732 weeks
230-.03196 -.00488 (230*2π)/3732 weeks
231-.02791 .00132 (231*2π)/3732 weeks
232-.03083 .00046 (232*2π)/3732 weeks
233-.01975 .00648 (233*2π)/3732 weeks
234-.02944 .01516 (234*2π)/3732 weeks
235.00757 -.00715 (235*2π)/3732 weeks
236-.02132 .01772 (236*2π)/3732 weeks
237-.03258 .02564 (237*2π)/3732 weeks
238.00105 .01712 (238*2π)/3732 weeks
239-.01646 .00724 (239*2π)/3732 weeks
240-.012 .03837 (240*2π)/3732 weeks
241.00425 .00684 (241*2π)/3732 weeks
242-.01795 .02259 (242*2π)/3732 weeks
243-.00424 -.00743 (243*2π)/3732 weeks
244-.0182 .01819 (244*2π)/3732 weeks
245-.02406 -.00718 (245*2π)/3732 weeks
246-.03031 .04041 (246*2π)/3732 weeks
247-.01521 .01856 (247*2π)/3732 weeks
248-.0001 .02891 (248*2π)/3732 weeks
249-.0201 -.00857 (249*2π)/3731 weeks
250-.00915 .0105 (250*2π)/3731 weeks
251-.01972 .02151 (251*2π)/3731 weeks
252-.01807 .01016 (252*2π)/3731 weeks
253-.00702 .02261 (253*2π)/3731 weeks
254-.01695 -.01316 (254*2π)/3731 weeks
255-.0257 .03385 (255*2π)/3731 weeks
256-.01097 .0082 (256*2π)/3731 weeks
257-.01968 .00857 (257*2π)/3731 weeks
258-.01572 .00895 (258*2π)/3731 weeks
259-.02428 .01663 (259*2π)/3731 weeks
260-.02174 .00077 (260*2π)/3731 weeks
261-.03791 .01617 (261*2π)/3731 weeks
262-.01932 .00614 (262*2π)/3731 weeks
263-.00255 .0208 (263*2π)/3731 weeks
264-.02933 .01934 (264*2π)/3731 weeks
265.0019 .02228 (265*2π)/3731 weeks
266-.0269 -.01455 (266*2π)/3731 weeks
267-.0292 .02272 (267*2π)/3731 weeks
268-.01398 .02432 (268*2π)/3731 weeks
269-.01497 .01334 (269*2π)/3731 weeks
270-.01751 .03816 (270*2π)/3731 weeks
271.00244 .01578 (271*2π)/3731 weeks
272-.00155 .00185 (272*2π)/3731 weeks
273-.00436 -.00119 (273*2π)/3731 weeks
274-.00057 .01014 (274*2π)/3731 weeks
275-.00723 -.03448 (275*2π)/3731 weeks
276-.06991 -.01658 (276*2π)/3731 weeks
277-.04081 .02748 (277*2π)/3731 weeks
278-.05715 .05243 (278*2π)/3731 weeks
279-.01987 .07029 (279*2π)/3731 weeks
280-.00589 .01217 (280*2π)/3731 weeks
281-.02537 .04665 (281*2π)/3731 weeks
282.01488 .04141 (282*2π)/3731 weeks
283-.03559 .02028 (283*2π)/3731 weeks
284.00117 .01413 (284*2π)/3731 weeks
285-.02154 .01423 (285*2π)/3731 weeks
286-.01311 .01768 (286*2π)/3731 weeks
287-.00993 .00357 (287*2π)/3731 weeks
288.00335 -.0021 (288*2π)/3731 weeks
289-.04163 .01306 (289*2π)/3731 weeks
290-.03652 -.00191 (290*2π)/3731 weeks
291-.04237 .05872 (291*2π)/3731 weeks
292-.00766 .01987 (292*2π)/3731 weeks
293-.02498 .03322 (293*2π)/3731 weeks
294-.0184 .01155 (294*2π)/3731 weeks
295-.03998 .03097 (295*2π)/3731 weeks
296-.02149 .03187 (296*2π)/3731 weeks
297-.00069 .01477 (297*2π)/3731 weeks
298.01099 .02468 (298*2π)/3731 weeks
299.00409 -.00399 (299*2π)/3731 weeks
300-.04217 .01189 (300*2π)/3731 weeks
301-.04611 .04797 (301*2π)/3731 weeks
302-.02265 .03414 (302*2π)/3731 weeks
303-.03018 .04906 (303*2π)/3731 weeks
304-.03379 .05963 (304*2π)/3731 weeks
305.00407 .03622 (305*2π)/3731 weeks
306-.05304 .03613 (306*2π)/3731 weeks
307.00782 .01874 (307*2π)/3731 weeks
308.01476 .01196 (308*2π)/3731 weeks
309-.04149 .00327 (309*2π)/3731 weeks
310-.01678 .0576 (310*2π)/3731 weeks
311-.01757 .01386 (311*2π)/3731 weeks
312-.01749 .01401 (312*2π)/3731 weeks
313-.04075 .0675 (313*2π)/3731 weeks
314-.0002 .00191 (314*2π)/3731 weeks
315-.02444 .02725 (315*2π)/3731 weeks
316-.03865 .04791 (316*2π)/3731 weeks
317-.02195 .05687 (317*2π)/3731 weeks
318.00379 .03725 (318*2π)/3731 weeks
319.00421 .05019 (319*2π)/3731 weeks
320-.01693 .04891 (320*2π)/3731 weeks
321.0014 .02867 (321*2π)/3731 weeks
322.01911 .04381 (322*2π)/3731 weeks
323.03736 .01916 (323*2π)/3731 weeks
324-.00615 -.01272 (324*2π)/3731 weeks
325-.01788 .02311 (325*2π)/3731 weeks
326-.01581 -.01293 (326*2π)/3731 weeks
327-.04546 .03703 (327*2π)/3731 weeks
328-.0263 .03824 (328*2π)/3731 weeks
329.0257 .0977 (329*2π)/3731 weeks
330.02437 -.01737 (330*2π)/3731 weeks
331-.01382 .06888 (331*2π)/3731 weeks
332-.02141 -.00583 (332*2π)/3731 weeks
333-.04581 .02583 (333*2π)/3731 weeks
334-.02351 .03898 (334*2π)/3731 weeks
335-.02554 .0657 (335*2π)/3731 weeks
336.03957 .01928 (336*2π)/3731 weeks
337-.04974 .04019 (337*2π)/3731 weeks
338-.04476 .03833 (338*2π)/3731 weeks
339.01766 .06525 (339*2π)/3731 weeks
340-.04165 -.0265 (340*2π)/3731 weeks
341.0028 .05322 (341*2π)/3731 weeks
342-.03983 -.00586 (342*2π)/3731 weeks
343-.10214 .03766 (343*2π)/3731 weeks
344-.0555 .1503 (344*2π)/3731 weeks
345.06598 .03307 (345*2π)/3731 weeks
346-.01605 .11297 (346*2π)/3731 weeks
347.02888 .03222 (347*2π)/3731 weeks
348-.09048 .1245 (348*2π)/3731 weeks
349.05433 .19436 (349*2π)/3731 weeks
350-.02273 .07113 (350*2π)/3731 weeks
351.10409 .07458 (351*2π)/3731 weeks
352-.11238 -.06779 (352*2π)/3731 weeks
353-.09507 .11552 (353*2π)/3731 weeks
354.02605 .20499 (354*2π)/3731 weeks
355.04781 .0888 (355*2π)/3731 weeks
356-.13982 .10484 (356*2π)/3731 weeks
357-.0353 .20099 (357*2π)/3731 weeks
358-.01327 .25671 (358*2π)/3731 weeks
359.11034 .04329 (359*2π)/3731 weeks
360.0304 .10311 (360*2π)/3731 weeks
361-.03659 .20592 (361*2π)/3731 weeks
362.17416 -.19051 (362*2π)/3731 weeks
363-.1601 .13788 (363*2π)/3731 weeks
364-.07073 .09316 (364*2π)/3731 weeks
365-.0827 .15556 (365*2π)/3731 weeks
366-.0743 .29928 (366*2π)/3731 weeks
367-.15999 .36575 (367*2π)/3731 weeks
368-.16198 .64389 (368*2π)/3731 weeks
369.05054 1.09447 (369*2π)/3731 weeks
370.23029 .44822 (370*2π)/3731 weeks
371-.29313 1.01068 (371*2π)/3731 weeks

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