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# Fourier Analysis of XLRN (Acceleron Pharma Inc)

XLRN (Acceleron Pharma Inc) appears to have interesting cyclic behaviour every 24 weeks (4.0818*sine), 26 weeks (2.8788*sine), and 31 weeks (2.8313*sine).

XLRN (Acceleron Pharma Inc) has an average price of 41.92 (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 9/18/2013 to 9/14/2020 for XLRN (Acceleron Pharma Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
041.92408   0
111.85513 -9.0179 (1*2π)/366366 weeks
24.42333 -5.57753 (2*2π)/366183 weeks
36.37024 -6.92569 (3*2π)/366122 weeks
42.21223 -8.49707 (4*2π)/36692 weeks
5.39976 -7.24323 (5*2π)/36673 weeks
6-3.00372 -4.01383 (6*2π)/36661 weeks
7-2.12531 -2.38148 (7*2π)/36652 weeks
8-4.49159 -4.06607 (8*2π)/36646 weeks
9-2.86969 -3.53719 (9*2π)/36641 weeks
10-.41475 -.95732 (10*2π)/36637 weeks
11-.47077 -2.45971 (11*2π)/36633 weeks
12-.66552 -2.83129 (12*2π)/36631 weeks
13.53861 -1.50254 (13*2π)/36628 weeks
14-.40963 -2.8788 (14*2π)/36626 weeks
15-.39504 -4.08185 (15*2π)/36624 weeks
16.42538 -1.57767 (16*2π)/36623 weeks
17-1.37394 -1.61159 (17*2π)/36622 weeks
18.39738 -1.23566 (18*2π)/36620 weeks
19.68809 -.68761 (19*2π)/36619 weeks
20-.3175 -.24941 (20*2π)/36618 weeks
21-.30943 -.65992 (21*2π)/36617 weeks
22.72117 -.44006 (22*2π)/36617 weeks
23.11315 -.45432 (23*2π)/36616 weeks
24.22801 -1.3744 (24*2π)/36615 weeks
25.30996 -.98665 (25*2π)/36615 weeks
26-.20207 -.95137 (26*2π)/36614 weeks
27-1.07303 -1.21016 (27*2π)/36614 weeks
28-.24536 -1.06304 (28*2π)/36613 weeks
29-.8773 .05758 (29*2π)/36613 weeks
30-1.14289 .1745 (30*2π)/36612 weeks
31-.17524 .25726 (31*2π)/36612 weeks
32-.16039 -.19276 (32*2π)/36611 weeks
33.50506 .22416 (33*2π)/36611 weeks
34.14181 -.20077 (34*2π)/36611 weeks
35.57295 -.81579 (35*2π)/36610 weeks
36-.18012 -.84409 (36*2π)/36610 weeks
37.09715 -1.26736 (37*2π)/36610 weeks
38-.1817 -.96924 (38*2π)/36610 weeks
39-.40513 -1.36397 (39*2π)/3669 weeks
40-.98157 -.22792 (40*2π)/3669 weeks
41-.58153 -.29542 (41*2π)/3669 weeks
42-.26435 -.83671 (42*2π)/3669 weeks
43-.49568 -.02891 (43*2π)/3669 weeks
44.20117 -.34965 (44*2π)/3668 weeks
45.0722 -.44762 (45*2π)/3668 weeks
46.69243 -.93905 (46*2π)/3668 weeks
47.54486 -.05788 (47*2π)/3668 weeks
48-.5303 -1.01298 (48*2π)/3668 weeks
49-.03282 -.26657 (49*2π)/3667 weeks
50-.74868 -.25751 (50*2π)/3667 weeks
51-.7179 -.23627 (51*2π)/3667 weeks
52-.65671 -.3755 (52*2π)/3667 weeks
53-.19746 -.09415 (53*2π)/3667 weeks
54-.39596 -.28416 (54*2π)/3667 weeks
55-.37959 -.45293 (55*2π)/3667 weeks
56-.11992 -.46856 (56*2π)/3667 weeks
57-.00712 -.65101 (57*2π)/3666 weeks
58-.25178 -.71815 (58*2π)/3666 weeks
59-.46832 -.51292 (59*2π)/3666 weeks
60.0527 -.4592 (60*2π)/3666 weeks
61-.49182 -.48263 (61*2π)/3666 weeks
62.08874 -.65418 (62*2π)/3666 weeks
63.16755 -.24295 (63*2π)/3666 weeks
64-.14752 -.29352 (64*2π)/3666 weeks
65-.32986 -.15911 (65*2π)/3666 weeks
66.00102 .03751 (66*2π)/3666 weeks
67-.22546 -.46991 (67*2π)/3665 weeks
68-.45191 -.38289 (68*2π)/3665 weeks
69-.30975 -.21814 (69*2π)/3665 weeks
70-.47086 -.58774 (70*2π)/3665 weeks
71-.42113 -.30153 (71*2π)/3665 weeks
72-.70628 -.06289 (72*2π)/3665 weeks
73-.48887 -.08919 (73*2π)/3665 weeks
74-.0318 -.13429 (74*2π)/3665 weeks
75-.14091 .12185 (75*2π)/3665 weeks
76.03709 .09049 (76*2π)/3665 weeks
77.18874 -.12574 (77*2π)/3665 weeks
78.12147 -.04056 (78*2π)/3665 weeks
79-.22233 -.54378 (79*2π)/3665 weeks
80-.14865 -.39216 (80*2π)/3665 weeks
81-.0135 -.31444 (81*2π)/3665 weeks
82-.47411 -.40442 (82*2π)/3664 weeks
83-.44297 -.37359 (83*2π)/3664 weeks
84-.18684 .00427 (84*2π)/3664 weeks
85-.1077 -.15545 (85*2π)/3664 weeks
86-.21425 -.31323 (86*2π)/3664 weeks
87-.10208 -.27789 (87*2π)/3664 weeks
88-.1444 -.48288 (88*2π)/3664 weeks
89.19524 -.25394 (89*2π)/3664 weeks
90-.23987 -.19698 (90*2π)/3664 weeks
91-.31519 -.17285 (91*2π)/3664 weeks
92-.50809 -.47503 (92*2π)/3664 weeks
93-.32598 -.08135 (93*2π)/3664 weeks
94-.41395 .0466 (94*2π)/3664 weeks
95-.12066 -.48529 (95*2π)/3664 weeks
96-.01818 .12445 (96*2π)/3664 weeks
97-.27752 .02198 (97*2π)/3664 weeks
98-.22034 -.22572 (98*2π)/3664 weeks
99.1389 -.20466 (99*2π)/3664 weeks
100-.14057 -.28711 (100*2π)/3664 weeks
101-.24472 -.50286 (101*2π)/3664 weeks
102-.05141 -.58961 (102*2π)/3664 weeks
103-.27167 -.1759 (103*2π)/3664 weeks
104-.71024 -.33611 (104*2π)/3664 weeks
105-.40846 -.23599 (105*2π)/3663 weeks
106-.55013 -.11416 (106*2π)/3663 weeks
107-.42836 -.1776 (107*2π)/3663 weeks
108-.11312 .03306 (108*2π)/3663 weeks
109-.11397 .05566 (109*2π)/3663 weeks
110-.28207 -.16513 (110*2π)/3663 weeks
111-.21956 -.26016 (111*2π)/3663 weeks
112-.14703 -.26516 (112*2π)/3663 weeks
113-.25464 -.43654 (113*2π)/3663 weeks
114-.23855 -.33696 (114*2π)/3663 weeks
115-.36524 -.18323 (115*2π)/3663 weeks
116-.01938 -.26882 (116*2π)/3663 weeks
117-.49765 -.22653 (117*2π)/3663 weeks
118-.35803 -.0542 (118*2π)/3663 weeks
119-.11995 -.35134 (119*2π)/3663 weeks
120-.26874 -.38748 (120*2π)/3663 weeks
121-.50449 -.26312 (121*2π)/3663 weeks
122-.47449 -.17356 (122*2π)/3663 weeks
123-.25609 -.15105 (123*2π)/3663 weeks
124-.49571 .15464 (124*2π)/3663 weeks
125-.26255 -.04897 (125*2π)/3663 weeks
126-.32746 -.0365 (126*2π)/3663 weeks
127-.0901 .13673 (127*2π)/3663 weeks
128-.01529 -.0395 (128*2π)/3663 weeks
129.05242 -.25325 (129*2π)/3663 weeks
130-.11648 -.26589 (130*2π)/3663 weeks
131-.2045 -.43166 (131*2π)/3663 weeks
132.02977 -.47553 (132*2π)/3663 weeks
133-.37928 -.56271 (133*2π)/3663 weeks
134-.40882 -.28231 (134*2π)/3663 weeks
135-.43762 -.22522 (135*2π)/3663 weeks
136-.55577 -.1435 (136*2π)/3663 weeks
137-.63675 .15221 (137*2π)/3663 weeks
138-.16045 .00438 (138*2π)/3663 weeks
139-.42397 .22711 (139*2π)/3663 weeks
140-.21327 .00869 (140*2π)/3663 weeks
141-.26647 -.0238 (141*2π)/3663 weeks
142-.18535 -.10632 (142*2π)/3663 weeks
143-.38213 -.13747 (143*2π)/3663 weeks
144-.41589 -.34992 (144*2π)/3663 weeks
145-.35341 -.1183 (145*2π)/3663 weeks
146-.54918 -.03073 (146*2π)/3663 weeks
147-.49616 -.01607 (147*2π)/3662 weeks
148-.28196 .12257 (148*2π)/3662 weeks
149-.29944 .14469 (149*2π)/3662 weeks
150-.07888 .23614 (150*2π)/3662 weeks
151-.00563 -.07515 (151*2π)/3662 weeks
152.00696 .1759 (152*2π)/3662 weeks
153-.14846 -.27917 (153*2π)/3662 weeks
154-.11296 -.26782 (154*2π)/3662 weeks
155-.20022 -.13516 (155*2π)/3662 weeks
156-.26129 -.11066 (156*2π)/3662 weeks
157-.33211 -.19839 (157*2π)/3662 weeks
158-.35416 -.32661 (158*2π)/3662 weeks
159-.33015 .12467 (159*2π)/3662 weeks
160-.17044 .13692 (160*2π)/3662 weeks
161-.28613 .07609 (161*2π)/3662 weeks
162-.30492 -.04283 (162*2π)/3662 weeks
163-.08278 .00374 (163*2π)/3662 weeks
164-.21647 -.0325 (164*2π)/3662 weeks
165-.00139 -.21337 (165*2π)/3662 weeks
166-.05823 -.13366 (166*2π)/3662 weeks
167-.41485 -.08929 (167*2π)/3662 weeks
168-.35174 .02591 (168*2π)/3662 weeks
169-.09214 -.05085 (169*2π)/3662 weeks
170-.29568 -.18586 (170*2π)/3662 weeks
171-.1274 -.03232 (171*2π)/3662 weeks
172-.05245 .0435 (172*2π)/3662 weeks
173-.24436 -.08421 (173*2π)/3662 weeks
174-.33506 -.19948 (174*2π)/3662 weeks
175-.57278 -.19218 (175*2π)/3662 weeks
176-.5163 -.06211 (176*2π)/3662 weeks
177-.33466 -.09781 (177*2π)/3662 weeks
178-.37192 .03558 (178*2π)/3662 weeks
179-.36528 -.00757 (179*2π)/3662 weeks
180-.41623 .10354 (180*2π)/3662 weeks
181.00592 -.05271 (181*2π)/3662 weeks
182-.09705 .09997 (182*2π)/3662 weeks
183.08117   (183*2π)/3662 weeks
184-.09705 -.09997 (184*2π)/3662 weeks
185.00592 .05271 (185*2π)/3662 weeks
186-.41623 -.10354 (186*2π)/3662 weeks
187-.36528 .00757 (187*2π)/3662 weeks
188-.37192 -.03558 (188*2π)/3662 weeks
189-.33466 .09781 (189*2π)/3662 weeks
190-.5163 .06211 (190*2π)/3662 weeks
191-.57278 .19218 (191*2π)/3662 weeks
192-.33506 .19948 (192*2π)/3662 weeks
193-.24436 .08421 (193*2π)/3662 weeks
194-.05245 -.0435 (194*2π)/3662 weeks
195-.1274 .03232 (195*2π)/3662 weeks
196-.29568 .18586 (196*2π)/3662 weeks
197-.09214 .05085 (197*2π)/3662 weeks
198-.35174 -.02591 (198*2π)/3662 weeks
199-.41485 .08929 (199*2π)/3662 weeks
200-.05823 .13366 (200*2π)/3662 weeks
201-.00139 .21337 (201*2π)/3662 weeks
202-.21647 .0325 (202*2π)/3662 weeks
203-.08278 -.00374 (203*2π)/3662 weeks
204-.30492 .04283 (204*2π)/3662 weeks
205-.28613 -.07609 (205*2π)/3662 weeks
206-.17044 -.13692 (206*2π)/3662 weeks
207-.33015 -.12467 (207*2π)/3662 weeks
208-.35416 .32661 (208*2π)/3662 weeks
209-.33211 .19839 (209*2π)/3662 weeks
210-.26129 .11066 (210*2π)/3662 weeks
211-.20022 .13516 (211*2π)/3662 weeks
212-.11296 .26782 (212*2π)/3662 weeks
213-.14846 .27917 (213*2π)/3662 weeks
214.00696 -.1759 (214*2π)/3662 weeks
215-.00563 .07515 (215*2π)/3662 weeks
216-.07888 -.23614 (216*2π)/3662 weeks
217-.29944 -.14469 (217*2π)/3662 weeks
218-.28196 -.12257 (218*2π)/3662 weeks
219-.49616 .01607 (219*2π)/3662 weeks
220-.54918 .03073 (220*2π)/3662 weeks
221-.35341 .1183 (221*2π)/3662 weeks
222-.41589 .34992 (222*2π)/3662 weeks
223-.38213 .13747 (223*2π)/3662 weeks
224-.18535 .10632 (224*2π)/3662 weeks
225-.26647 .0238 (225*2π)/3662 weeks
226-.21327 -.00869 (226*2π)/3662 weeks
227-.42397 -.22711 (227*2π)/3662 weeks
228-.16045 -.00438 (228*2π)/3662 weeks
229-.63675 -.15221 (229*2π)/3662 weeks
230-.55577 .1435 (230*2π)/3662 weeks
231-.43762 .22522 (231*2π)/3662 weeks
232-.40882 .28231 (232*2π)/3662 weeks
233-.37928 .56271 (233*2π)/3662 weeks
234.02977 .47553 (234*2π)/3662 weeks
235-.2045 .43166 (235*2π)/3662 weeks
236-.11648 .26589 (236*2π)/3662 weeks
237.05242 .25325 (237*2π)/3662 weeks
238-.01529 .0395 (238*2π)/3662 weeks
239-.0901 -.13673 (239*2π)/3662 weeks
240-.32746 .0365 (240*2π)/3662 weeks
241-.26255 .04897 (241*2π)/3662 weeks
242-.49571 -.15464 (242*2π)/3662 weeks
243-.25609 .15105 (243*2π)/3662 weeks
244-.47449 .17356 (244*2π)/3662 weeks
245-.50449 .26312 (245*2π)/3661 weeks
246-.26874 .38748 (246*2π)/3661 weeks
247-.11995 .35134 (247*2π)/3661 weeks
248-.35803 .0542 (248*2π)/3661 weeks
249-.49765 .22653 (249*2π)/3661 weeks
250-.01938 .26882 (250*2π)/3661 weeks
251-.36524 .18323 (251*2π)/3661 weeks
252-.23855 .33696 (252*2π)/3661 weeks
253-.25464 .43654 (253*2π)/3661 weeks
254-.14703 .26516 (254*2π)/3661 weeks
255-.21956 .26016 (255*2π)/3661 weeks
256-.28207 .16513 (256*2π)/3661 weeks
257-.11397 -.05566 (257*2π)/3661 weeks
258-.11312 -.03306 (258*2π)/3661 weeks
259-.42836 .1776 (259*2π)/3661 weeks
260-.55013 .11416 (260*2π)/3661 weeks
261-.40846 .23599 (261*2π)/3661 weeks
262-.71024 .33611 (262*2π)/3661 weeks
263-.27167 .1759 (263*2π)/3661 weeks
264-.05141 .58961 (264*2π)/3661 weeks
265-.24472 .50286 (265*2π)/3661 weeks
266-.14057 .28711 (266*2π)/3661 weeks
267.1389 .20466 (267*2π)/3661 weeks
268-.22034 .22572 (268*2π)/3661 weeks
269-.27752 -.02198 (269*2π)/3661 weeks
270-.01818 -.12445 (270*2π)/3661 weeks
271-.12066 .48529 (271*2π)/3661 weeks
272-.41395 -.0466 (272*2π)/3661 weeks
273-.32598 .08135 (273*2π)/3661 weeks
274-.50809 .47503 (274*2π)/3661 weeks
275-.31519 .17285 (275*2π)/3661 weeks
276-.23987 .19698 (276*2π)/3661 weeks
277.19524 .25394 (277*2π)/3661 weeks
278-.1444 .48288 (278*2π)/3661 weeks
279-.10208 .27789 (279*2π)/3661 weeks
280-.21425 .31323 (280*2π)/3661 weeks
281-.1077 .15545 (281*2π)/3661 weeks
282-.18684 -.00427 (282*2π)/3661 weeks
283-.44297 .37359 (283*2π)/3661 weeks
284-.47411 .40442 (284*2π)/3661 weeks
285-.0135 .31444 (285*2π)/3661 weeks
286-.14865 .39216 (286*2π)/3661 weeks
287-.22233 .54378 (287*2π)/3661 weeks
288.12147 .04056 (288*2π)/3661 weeks
289.18874 .12574 (289*2π)/3661 weeks
290.03709 -.09049 (290*2π)/3661 weeks
291-.14091 -.12185 (291*2π)/3661 weeks
292-.0318 .13429 (292*2π)/3661 weeks
293-.48887 .08919 (293*2π)/3661 weeks
294-.70628 .06289 (294*2π)/3661 weeks
295-.42113 .30153 (295*2π)/3661 weeks
296-.47086 .58774 (296*2π)/3661 weeks
297-.30975 .21814 (297*2π)/3661 weeks
298-.45191 .38289 (298*2π)/3661 weeks
299-.22546 .46991 (299*2π)/3661 weeks
300.00102 -.03751 (300*2π)/3661 weeks
301-.32986 .15911 (301*2π)/3661 weeks
302-.14752 .29352 (302*2π)/3661 weeks
303.16755 .24295 (303*2π)/3661 weeks
304.08874 .65418 (304*2π)/3661 weeks
305-.49182 .48263 (305*2π)/3661 weeks
306.0527 .4592 (306*2π)/3661 weeks
307-.46832 .51292 (307*2π)/3661 weeks
308-.25178 .71815 (308*2π)/3661 weeks
309-.00712 .65101 (309*2π)/3661 weeks
310-.11992 .46856 (310*2π)/3661 weeks
311-.37959 .45293 (311*2π)/3661 weeks
312-.39596 .28416 (312*2π)/3661 weeks
313-.19746 .09415 (313*2π)/3661 weeks
314-.65671 .3755 (314*2π)/3661 weeks
315-.7179 .23627 (315*2π)/3661 weeks
316-.74868 .25751 (316*2π)/3661 weeks
317-.03282 .26657 (317*2π)/3661 weeks
318-.5303 1.01298 (318*2π)/3661 weeks
319.54486 .05788 (319*2π)/3661 weeks
320.69243 .93905 (320*2π)/3661 weeks
321.0722 .44762 (321*2π)/3661 weeks
322.20117 .34965 (322*2π)/3661 weeks
323-.49568 .02891 (323*2π)/3661 weeks
324-.26435 .83671 (324*2π)/3661 weeks
325-.58153 .29542 (325*2π)/3661 weeks
326-.98157 .22792 (326*2π)/3661 weeks
327-.40513 1.36397 (327*2π)/3661 weeks
328-.1817 .96924 (328*2π)/3661 weeks
329.09715 1.26736 (329*2π)/3661 weeks
330-.18012 .84409 (330*2π)/3661 weeks
331.57295 .81579 (331*2π)/3661 weeks
332.14181 .20077 (332*2π)/3661 weeks
333.50506 -.22416 (333*2π)/3661 weeks
334-.16039 .19276 (334*2π)/3661 weeks
335-.17524 -.25726 (335*2π)/3661 weeks
336-1.14289 -.1745 (336*2π)/3661 weeks
337-.8773 -.05758 (337*2π)/3661 weeks
338-.24536 1.06304 (338*2π)/3661 weeks
339-1.07303 1.21016 (339*2π)/3661 weeks
340-.20207 .95137 (340*2π)/3661 weeks
341.30996 .98665 (341*2π)/3661 weeks
342.22801 1.3744 (342*2π)/3661 weeks
343.11315 .45432 (343*2π)/3661 weeks
344.72117 .44006 (344*2π)/3661 weeks
345-.30943 .65992 (345*2π)/3661 weeks
346-.3175 .24941 (346*2π)/3661 weeks
347.68809 .68761 (347*2π)/3661 weeks
348.39738 1.23566 (348*2π)/3661 weeks
349-1.37394 1.61159 (349*2π)/3661 weeks
350.42538 1.57767 (350*2π)/3661 weeks
351-.39504 4.08185 (351*2π)/3661 weeks
352-.40963 2.8788 (352*2π)/3661 weeks
353.53861 1.50254 (353*2π)/3661 weeks
354-.66552 2.83129 (354*2π)/3661 weeks
355-.47077 2.45971 (355*2π)/3661 weeks
356-.41475 .95732 (356*2π)/3661 weeks
357-2.86969 3.53719 (357*2π)/3661 weeks
358-4.49159 4.06607 (358*2π)/3661 weeks
359-2.12531 2.38148 (359*2π)/3661 weeks
360-3.00372 4.01383 (360*2π)/3661 weeks
361.39976 7.24323 (361*2π)/3661 weeks
3622.21223 8.49707 (362*2π)/3661 weeks
3636.37024 6.92569 (363*2π)/3661 weeks
3644.42333 5.57753 (364*2π)/3661 weeks