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# Fourier Analysis of XLRN (Acceleron Pharma Inc)

XLRN (Acceleron Pharma Inc) appears to have interesting cyclic behaviour every 24 weeks (4.0077*sine), 29 weeks (3.5469*sine), and 34 weeks (3.4398*sine).

XLRN (Acceleron Pharma Inc) has an average price of 50.93 (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 9/19/2013 to 7/26/2021 for XLRN (Acceleron Pharma Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
050.93344   0
122.45209 -19.71099 (1*2π)/411411 weeks
28.44265 -16.93182 (2*2π)/411206 weeks
3.93741 -17.1533 (3*2π)/411137 weeks
4-4.20169 -8.33961 (4*2π)/411103 weeks
5-.97799 -4.55912 (5*2π)/41182 weeks
61.68763 -4.30324 (6*2π)/41169 weeks
7-1.71666 -5.70622 (7*2π)/41159 weeks
8-2.68744 -3.35759 (8*2π)/41151 weeks
9-4.74689 -4.23577 (9*2π)/41146 weeks
10-2.61739 -2.74818 (10*2π)/41141 weeks
111.11257 -1.97991 (11*2π)/41137 weeks
12-.48122 -3.43982 (12*2π)/41134 weeks
13-.71322 -3.19493 (13*2π)/41132 weeks
14-.10329 -3.5469 (14*2π)/41129 weeks
15-1.04398 -1.66687 (15*2π)/41127 weeks
16-.31433 -2.436 (16*2π)/41126 weeks
17.3908 -4.0077 (17*2π)/41124 weeks
18.39558 -1.7562 (18*2π)/41123 weeks
19-.97995 -1.35752 (19*2π)/41122 weeks
201.03732 -1.72422 (20*2π)/41121 weeks
211.15555 -1.74172 (21*2π)/41120 weeks
22.54316 -1.20287 (22*2π)/41119 weeks
23-.28334 -1.80275 (23*2π)/41118 weeks
24-.60451 -2.02488 (24*2π)/41117 weeks
25-.31985 -.71626 (25*2π)/41116 weeks
26-.41524 -.65836 (26*2π)/41116 weeks
27.052 -1.5526 (27*2π)/41115 weeks
28-.05944 -1.36793 (28*2π)/41115 weeks
29-.75268 -1.07027 (29*2π)/41114 weeks
30-1.22752 -.50411 (30*2π)/41114 weeks
31-.3135 -.94124 (31*2π)/41113 weeks
32.30008 -.41102 (32*2π)/41113 weeks
33-.59061 -.76348 (33*2π)/41112 weeks
34-1.44412 -.80313 (34*2π)/41112 weeks
35-.87395 .3775 (35*2π)/41112 weeks
36-.12511 .19624 (36*2π)/41111 weeks
37.99274 .18192 (37*2π)/41111 weeks
38.55697 -.78504 (38*2π)/41111 weeks
39.00746 -1.67222 (39*2π)/41111 weeks
40-.6617 -.8538 (40*2π)/41110 weeks
41-.77791 -.90242 (41*2π)/41110 weeks
42-.13987 -.48825 (42*2π)/41110 weeks
43-.10073 -.52978 (43*2π)/41110 weeks
44.12851 -1.17549 (44*2π)/4119 weeks
45-.91443 -.38252 (45*2π)/4119 weeks
46-.36431 -.19467 (46*2π)/4119 weeks
47-.0321 -.76742 (47*2π)/4119 weeks
48.37381 -.317 (48*2π)/4119 weeks
49.17384 -1.33908 (49*2π)/4118 weeks
50-.26988 -1.03381 (50*2π)/4118 weeks
51-.53329 -.96265 (51*2π)/4118 weeks
52.38386 -.47145 (52*2π)/4118 weeks
53.196 .17418 (53*2π)/4118 weeks
54-.32234 -1.11655 (54*2π)/4118 weeks
55-.14319 -.40016 (55*2π)/4117 weeks
56-.76618 -.14846 (56*2π)/4117 weeks
57-.51874 -.15876 (57*2π)/4117 weeks
58-.41708 -.40874 (58*2π)/4117 weeks
59-.22169 -.72809 (59*2π)/4117 weeks
60-.59056 -.3474 (60*2π)/4117 weeks
61-.5963 -.31639 (61*2π)/4117 weeks
62-.43714 -.34827 (62*2π)/4117 weeks
63-.07381 -.27351 (63*2π)/4117 weeks
64.15367 -.58327 (64*2π)/4116 weeks
65-.14303 -.6826 (65*2π)/4116 weeks
66-.15266 -.44921 (66*2π)/4116 weeks
67.09549 -.83481 (67*2π)/4116 weeks
68-.15622 -.44191 (68*2π)/4116 weeks
69-.24218 -.9549 (69*2π)/4116 weeks
70.06778 -.6741 (70*2π)/4116 weeks
71.00104 -.2817 (71*2π)/4116 weeks
72-.15231 -.39237 (72*2π)/4116 weeks
73-.33299 -.24382 (73*2π)/4116 weeks
74.05515 -.1615 (74*2π)/4116 weeks
75-.40436 -.49645 (75*2π)/4115 weeks
76-.3506 -.22424 (76*2π)/4115 weeks
77-.14443 -.38866 (77*2π)/4115 weeks
78-.36396 -.33515 (78*2π)/4115 weeks
79-.08282 -.6411 (79*2π)/4115 weeks
80-.29337 -.58702 (80*2π)/4115 weeks
81-.80238 -.40609 (81*2π)/4115 weeks
82-.57781 -.13108 (82*2π)/4115 weeks
83.02609 -.16828 (83*2π)/4115 weeks
84.14859 -.06952 (84*2π)/4115 weeks
85.15015 -.45758 (85*2π)/4115 weeks
86-.19662 -.60052 (86*2π)/4115 weeks
87-.24073 -.29776 (87*2π)/4115 weeks
88-.34049 -.00593 (88*2π)/4115 weeks
89-.04352 -.53415 (89*2π)/4115 weeks
90-.11704 -.60929 (90*2π)/4115 weeks
91-.12871 -.59057 (91*2π)/4115 weeks
92-.71282 -.58525 (92*2π)/4114 weeks
93-.65637 -.37523 (93*2π)/4114 weeks
94-.24256 -.2552 (94*2π)/4114 weeks
95-.49096 -.32387 (95*2π)/4114 weeks
96-.53654 -.11216 (96*2π)/4114 weeks
97-.34194 -.158 (97*2π)/4114 weeks
98-.20437 -.08706 (98*2π)/4114 weeks
99-.036 -.39367 (99*2π)/4114 weeks
100.20438 -.26164 (100*2π)/4114 weeks
101-.27796 -.2845 (101*2π)/4114 weeks
102-.40434 -.21458 (102*2π)/4114 weeks
103-.61425 -.19894 (103*2π)/4114 weeks
104-.09531 -.1737 (104*2π)/4114 weeks
105-.20373 -.22351 (105*2π)/4114 weeks
106-.57657 -.34236 (106*2π)/4114 weeks
107-.04339 -.41035 (107*2π)/4114 weeks
108-.22261 .05389 (108*2π)/4114 weeks
109-.35639 -.04727 (109*2π)/4114 weeks
110-.29722 -.29401 (110*2π)/4114 weeks
111-.09724 -.40688 (111*2π)/4114 weeks
112-.50306 -.21297 (112*2π)/4114 weeks
113-.58017 -.0621 (113*2π)/4114 weeks
114-.254 -.03247 (114*2π)/4114 weeks
115.29391 .08305 (115*2π)/4114 weeks
116.14198 -.05469 (116*2π)/4114 weeks
117-.20782 -.65565 (117*2π)/4114 weeks
118-.24835 -.55702 (118*2π)/4113 weeks
119-.51614 -.39606 (119*2π)/4113 weeks
120-.44128 -.39242 (120*2π)/4113 weeks
121-.17412 -.3833 (121*2π)/4113 weeks
122-.3963 -.32072 (122*2π)/4113 weeks
123-.66228 -.11278 (123*2π)/4113 weeks
124-.54289 -.09498 (124*2π)/4113 weeks
125-.3387 -.08381 (125*2π)/4113 weeks
126-.16185 -.1041 (126*2π)/4113 weeks
127-.16503 -.44551 (127*2π)/4113 weeks
128-.28883 -.44108 (128*2π)/4113 weeks
129-.45921 -.25549 (129*2π)/4113 weeks
130-.36093 -.40689 (130*2π)/4113 weeks
131-.58964 .07993 (131*2π)/4113 weeks
132-.36489 -.10221 (132*2π)/4113 weeks
133-.57741 -.12319 (133*2π)/4113 weeks
134-.21666 .05108 (134*2π)/4113 weeks
135-.09936 -.15951 (135*2π)/4113 weeks
136-.40952 -.26357 (136*2π)/4113 weeks
137-.47519 -.10963 (137*2π)/4113 weeks
138-.25658 -.04712 (138*2π)/4113 weeks
139-.22193 .25476 (139*2π)/4113 weeks
140-.19758 -.15538 (140*2π)/4113 weeks
141-.21303 -.11739 (141*2π)/4113 weeks
142-.22597 -.27116 (142*2π)/4113 weeks
143-.41586 .01479 (143*2π)/4113 weeks
144-.19378 .1265 (144*2π)/4113 weeks
145.11901 -.09422 (145*2π)/4113 weeks
146-.05703 -.32886 (146*2π)/4113 weeks
147-.32911 -.52626 (147*2π)/4113 weeks
148-.38063 -.51435 (148*2π)/4113 weeks
149-.67529 .00688 (149*2π)/4113 weeks
150-.20112 .16375 (150*2π)/4113 weeks
151-.08941 .05325 (151*2π)/4113 weeks
152-.05996 -.0968 (152*2π)/4113 weeks
153-.25378 -.27859 (153*2π)/4113 weeks
154-.66248 -.02036 (154*2π)/4113 weeks
155-.17515 .11001 (155*2π)/4113 weeks
156-.26538 .34494 (156*2π)/4113 weeks
157-.07711 .00664 (157*2π)/4113 weeks
158-.13052 -.02018 (158*2π)/4113 weeks
159-.16228 -.10285 (159*2π)/4113 weeks
160-.13012 .02348 (160*2π)/4113 weeks
161-.13569 -.15703 (161*2π)/4113 weeks
162-.02497 -.47783 (162*2π)/4113 weeks
163-.22575 -.39154 (163*2π)/4113 weeks
164-.56055 -.27985 (164*2π)/4113 weeks
165-.52167 -.10943 (165*2π)/4112 weeks
166-.21546 -.02047 (166*2π)/4112 weeks
167-.20113 -.07102 (167*2π)/4112 weeks
168-.19675 -.25953 (168*2π)/4112 weeks
169-.546 -.13406 (169*2π)/4112 weeks
170-.27878 .07119 (170*2π)/4112 weeks
171-.32447 .37119 (171*2π)/4112 weeks
172-.02137 -.05342 (172*2π)/4112 weeks
173.01376 -.22808 (173*2π)/4112 weeks
174-.15275 -.19069 (174*2π)/4112 weeks
175-.27405 -.1547 (175*2π)/4112 weeks
176-.38216 -.12658 (176*2π)/4112 weeks
177-.33343 -.08977 (177*2π)/4112 weeks
178.06331 -.12927 (178*2π)/4112 weeks
179-.25555 -.22266 (179*2π)/4112 weeks
180-.33077 -.00248 (180*2π)/4112 weeks
181-.37871 -.01086 (181*2π)/4112 weeks
182-.3555 -.09544 (182*2π)/4112 weeks
183-.14158 -.07118 (183*2π)/4112 weeks
184-.2942 -.12081 (184*2π)/4112 weeks
185-.31731 -.31073 (185*2π)/4112 weeks
186-.34679 -.02538 (186*2π)/4112 weeks
187-.29068 .25286 (187*2π)/4112 weeks
188-.22639 -.03777 (188*2π)/4112 weeks
189-.39127 -.07784 (189*2π)/4112 weeks
190-.18961 .06927 (190*2π)/4112 weeks
191-.29926 -.16294 (191*2π)/4112 weeks
192-.2101 -.01497 (192*2π)/4112 weeks
193-.19262 .02108 (193*2π)/4112 weeks
194-.47962 .08179 (194*2π)/4112 weeks
195-.51108 .22399 (195*2π)/4112 weeks
196-.29013 .37457 (196*2π)/4112 weeks
197-.08544 .05094 (197*2π)/4112 weeks
198-.2077 -.10962 (198*2π)/4112 weeks
199-.14125 -.08708 (199*2π)/4112 weeks
200-.25352 .00901 (200*2π)/4112 weeks
201-.23617 .00603 (201*2π)/4112 weeks
202-.18478 .1031 (202*2π)/4112 weeks
203.05179 -.27717 (203*2π)/4112 weeks
204-.05089 -.10548 (204*2π)/4112 weeks
205-.234 -.16904 (205*2π)/4112 weeks
206-.234 .16904 (206*2π)/4112 weeks
207-.05089 .10548 (207*2π)/4112 weeks
208.05179 .27717 (208*2π)/4112 weeks
209-.18478 -.1031 (209*2π)/4112 weeks
210-.23617 -.00603 (210*2π)/4112 weeks
211-.25352 -.00901 (211*2π)/4112 weeks
212-.14125 .08708 (212*2π)/4112 weeks
213-.2077 .10962 (213*2π)/4112 weeks
214-.08544 -.05094 (214*2π)/4112 weeks
215-.29013 -.37457 (215*2π)/4112 weeks
216-.51108 -.22399 (216*2π)/4112 weeks
217-.47962 -.08179 (217*2π)/4112 weeks
218-.19262 -.02108 (218*2π)/4112 weeks
219-.2101 .01497 (219*2π)/4112 weeks
220-.29926 .16294 (220*2π)/4112 weeks
221-.18961 -.06927 (221*2π)/4112 weeks
222-.39127 .07784 (222*2π)/4112 weeks
223-.22639 .03777 (223*2π)/4112 weeks
224-.29068 -.25286 (224*2π)/4112 weeks
225-.34679 .02538 (225*2π)/4112 weeks
226-.31731 .31073 (226*2π)/4112 weeks
227-.2942 .12081 (227*2π)/4112 weeks
228-.14158 .07118 (228*2π)/4112 weeks
229-.3555 .09544 (229*2π)/4112 weeks
230-.37871 .01086 (230*2π)/4112 weeks
231-.33077 .00248 (231*2π)/4112 weeks
232-.25555 .22266 (232*2π)/4112 weeks
233.06331 .12927 (233*2π)/4112 weeks
234-.33343 .08977 (234*2π)/4112 weeks
235-.38216 .12658 (235*2π)/4112 weeks
236-.27405 .1547 (236*2π)/4112 weeks
237-.15275 .19069 (237*2π)/4112 weeks
238.01376 .22808 (238*2π)/4112 weeks
239-.02137 .05342 (239*2π)/4112 weeks
240-.32447 -.37119 (240*2π)/4112 weeks
241-.27878 -.07119 (241*2π)/4112 weeks
242-.546 .13406 (242*2π)/4112 weeks
243-.19675 .25953 (243*2π)/4112 weeks
244-.20113 .07102 (244*2π)/4112 weeks
245-.21546 .02047 (245*2π)/4112 weeks
246-.52167 .10943 (246*2π)/4112 weeks
247-.56055 .27985 (247*2π)/4112 weeks
248-.22575 .39154 (248*2π)/4112 weeks
249-.02497 .47783 (249*2π)/4112 weeks
250-.13569 .15703 (250*2π)/4112 weeks
251-.13012 -.02348 (251*2π)/4112 weeks
252-.16228 .10285 (252*2π)/4112 weeks
253-.13052 .02018 (253*2π)/4112 weeks
254-.07711 -.00664 (254*2π)/4112 weeks
255-.26538 -.34494 (255*2π)/4112 weeks
256-.17515 -.11001 (256*2π)/4112 weeks
257-.66248 .02036 (257*2π)/4112 weeks
258-.25378 .27859 (258*2π)/4112 weeks
259-.05996 .0968 (259*2π)/4112 weeks
260-.08941 -.05325 (260*2π)/4112 weeks
261-.20112 -.16375 (261*2π)/4112 weeks
262-.67529 -.00688 (262*2π)/4112 weeks
263-.38063 .51435 (263*2π)/4112 weeks
264-.32911 .52626 (264*2π)/4112 weeks
265-.05703 .32886 (265*2π)/4112 weeks
266.11901 .09422 (266*2π)/4112 weeks
267-.19378 -.1265 (267*2π)/4112 weeks
268-.41586 -.01479 (268*2π)/4112 weeks
269-.22597 .27116 (269*2π)/4112 weeks
270-.21303 .11739 (270*2π)/4112 weeks
271-.19758 .15538 (271*2π)/4112 weeks
272-.22193 -.25476 (272*2π)/4112 weeks
273-.25658 .04712 (273*2π)/4112 weeks
274-.47519 .10963 (274*2π)/4112 weeks
275-.40952 .26357 (275*2π)/4111 weeks
276-.09936 .15951 (276*2π)/4111 weeks
277-.21666 -.05108 (277*2π)/4111 weeks
278-.57741 .12319 (278*2π)/4111 weeks
279-.36489 .10221 (279*2π)/4111 weeks
280-.58964 -.07993 (280*2π)/4111 weeks
281-.36093 .40689 (281*2π)/4111 weeks
282-.45921 .25549 (282*2π)/4111 weeks
283-.28883 .44108 (283*2π)/4111 weeks
284-.16503 .44551 (284*2π)/4111 weeks
285-.16185 .1041 (285*2π)/4111 weeks
286-.3387 .08381 (286*2π)/4111 weeks
287-.54289 .09498 (287*2π)/4111 weeks
288-.66228 .11278 (288*2π)/4111 weeks
289-.3963 .32072 (289*2π)/4111 weeks
290-.17412 .3833 (290*2π)/4111 weeks
291-.44128 .39242 (291*2π)/4111 weeks
292-.51614 .39606 (292*2π)/4111 weeks
293-.24835 .55702 (293*2π)/4111 weeks
294-.20782 .65565 (294*2π)/4111 weeks
295.14198 .05469 (295*2π)/4111 weeks
296.29391 -.08305 (296*2π)/4111 weeks
297-.254 .03247 (297*2π)/4111 weeks
298-.58017 .0621 (298*2π)/4111 weeks
299-.50306 .21297 (299*2π)/4111 weeks
300-.09724 .40688 (300*2π)/4111 weeks
301-.29722 .29401 (301*2π)/4111 weeks
302-.35639 .04727 (302*2π)/4111 weeks
303-.22261 -.05389 (303*2π)/4111 weeks
304-.04339 .41035 (304*2π)/4111 weeks
305-.57657 .34236 (305*2π)/4111 weeks
306-.20373 .22351 (306*2π)/4111 weeks
307-.09531 .1737 (307*2π)/4111 weeks
308-.61425 .19894 (308*2π)/4111 weeks
309-.40434 .21458 (309*2π)/4111 weeks
310-.27796 .2845 (310*2π)/4111 weeks
311.20438 .26164 (311*2π)/4111 weeks
312-.036 .39367 (312*2π)/4111 weeks
313-.20437 .08706 (313*2π)/4111 weeks
314-.34194 .158 (314*2π)/4111 weeks
315-.53654 .11216 (315*2π)/4111 weeks
316-.49096 .32387 (316*2π)/4111 weeks
317-.24256 .2552 (317*2π)/4111 weeks
318-.65637 .37523 (318*2π)/4111 weeks
319-.71282 .58525 (319*2π)/4111 weeks
320-.12871 .59057 (320*2π)/4111 weeks
321-.11704 .60929 (321*2π)/4111 weeks
322-.04352 .53415 (322*2π)/4111 weeks
323-.34049 .00593 (323*2π)/4111 weeks
324-.24073 .29776 (324*2π)/4111 weeks
325-.19662 .60052 (325*2π)/4111 weeks
326.15015 .45758 (326*2π)/4111 weeks
327.14859 .06952 (327*2π)/4111 weeks
328.02609 .16828 (328*2π)/4111 weeks
329-.57781 .13108 (329*2π)/4111 weeks
330-.80238 .40609 (330*2π)/4111 weeks
331-.29337 .58702 (331*2π)/4111 weeks
332-.08282 .6411 (332*2π)/4111 weeks
333-.36396 .33515 (333*2π)/4111 weeks
334-.14443 .38866 (334*2π)/4111 weeks
335-.3506 .22424 (335*2π)/4111 weeks
336-.40436 .49645 (336*2π)/4111 weeks
337.05515 .1615 (337*2π)/4111 weeks
338-.33299 .24382 (338*2π)/4111 weeks
339-.15231 .39237 (339*2π)/4111 weeks
340.00104 .2817 (340*2π)/4111 weeks
341.06778 .6741 (341*2π)/4111 weeks
342-.24218 .9549 (342*2π)/4111 weeks
343-.15622 .44191 (343*2π)/4111 weeks
344.09549 .83481 (344*2π)/4111 weeks
345-.15266 .44921 (345*2π)/4111 weeks
346-.14303 .6826 (346*2π)/4111 weeks
347.15367 .58327 (347*2π)/4111 weeks
348-.07381 .27351 (348*2π)/4111 weeks
349-.43714 .34827 (349*2π)/4111 weeks
350-.5963 .31639 (350*2π)/4111 weeks
351-.59056 .3474 (351*2π)/4111 weeks
352-.22169 .72809 (352*2π)/4111 weeks
353-.41708 .40874 (353*2π)/4111 weeks
354-.51874 .15876 (354*2π)/4111 weeks
355-.76618 .14846 (355*2π)/4111 weeks
356-.14319 .40016 (356*2π)/4111 weeks
357-.32234 1.11655 (357*2π)/4111 weeks
358.196 -.17418 (358*2π)/4111 weeks
359.38386 .47145 (359*2π)/4111 weeks
360-.53329 .96265 (360*2π)/4111 weeks
361-.26988 1.03381 (361*2π)/4111 weeks
362.17384 1.33908 (362*2π)/4111 weeks
363.37381 .317 (363*2π)/4111 weeks
364-.0321 .76742 (364*2π)/4111 weeks
365-.36431 .19467 (365*2π)/4111 weeks
366-.91443 .38252 (366*2π)/4111 weeks
367.12851 1.17549 (367*2π)/4111 weeks
368-.10073 .52978 (368*2π)/4111 weeks
369-.13987 .48825 (369*2π)/4111 weeks
370-.77791 .90242 (370*2π)/4111 weeks
371-.6617 .8538 (371*2π)/4111 weeks
372.00746 1.67222 (372*2π)/4111 weeks
373.55697 .78504 (373*2π)/4111 weeks
374.99274 -.18192 (374*2π)/4111 weeks
375-.12511 -.19624 (375*2π)/4111 weeks
376-.87395 -.3775 (376*2π)/4111 weeks
377-1.44412 .80313 (377*2π)/4111 weeks
378-.59061 .76348 (378*2π)/4111 weeks
379.30008 .41102 (379*2π)/4111 weeks
380-.3135 .94124 (380*2π)/4111 weeks
381-1.22752 .50411 (381*2π)/4111 weeks
382-.75268 1.07027 (382*2π)/4111 weeks
383-.05944 1.36793 (383*2π)/4111 weeks
384.052 1.5526 (384*2π)/4111 weeks
385-.41524 .65836 (385*2π)/4111 weeks
386-.31985 .71626 (386*2π)/4111 weeks
387-.60451 2.02488 (387*2π)/4111 weeks
388-.28334 1.80275 (388*2π)/4111 weeks
389.54316 1.20287 (389*2π)/4111 weeks
3901.15555 1.74172 (390*2π)/4111 weeks
3911.03732 1.72422 (391*2π)/4111 weeks
392-.97995 1.35752 (392*2π)/4111 weeks
393.39558 1.7562 (393*2π)/4111 weeks
394.3908 4.0077 (394*2π)/4111 weeks
395-.31433 2.436 (395*2π)/4111 weeks
396-1.04398 1.66687 (396*2π)/4111 weeks
397-.10329 3.5469 (397*2π)/4111 weeks
398-.71322 3.19493 (398*2π)/4111 weeks
399-.48122 3.43982 (399*2π)/4111 weeks
4001.11257 1.97991 (400*2π)/4111 weeks
401-2.61739 2.74818 (401*2π)/4111 weeks
402-4.74689 4.23577 (402*2π)/4111 weeks
403-2.68744 3.35759 (403*2π)/4111 weeks
404-1.71666 5.70622 (404*2π)/4111 weeks
4051.68763 4.30324 (405*2π)/4111 weeks
406-.97799 4.55912 (406*2π)/4111 weeks
407-4.20169 8.33961 (407*2π)/4111 weeks
408.93741 17.1533 (408*2π)/4111 weeks
4098.44265 16.93182 (409*2π)/4111 weeks