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Fourier Analysis of ELN (Elan Corporation, plc ADR)


ELN (Elan Corporation, plc ADR) appears to have interesting cyclic behaviour every 183 weeks (3.2737*cosine), 166 weeks (2.9082*cosine), and 91 weeks (1.3324*cosine).

ELN (Elan Corporation, plc ADR) has an average price of 11.33 (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 1/19/1982 to 1/9/2017 for ELN (Elan Corporation, plc ADR), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
011.32696   0 
1-11.37061 -4.58242 (1*2π)/18251,825 weeks
24.74931 -.09525 (2*2π)/1825913 weeks
3-4.73031 -.59836 (3*2π)/1825608 weeks
43.53996 .91937 (4*2π)/1825456 weeks
5-4.10719 -1.99509 (5*2π)/1825365 weeks
6.73116 3.19212 (6*2π)/1825304 weeks
71.0345 -.8894 (7*2π)/1825261 weeks
8.01113 1.9952 (8*2π)/1825228 weeks
92.28238 -2.33361 (9*2π)/1825203 weeks
10-3.27374 .16529 (10*2π)/1825183 weeks
112.90825 1.19828 (11*2π)/1825166 weeks
12-1.26157 -2.38726 (12*2π)/1825152 weeks
13.19351 1.33144 (13*2π)/1825140 weeks
14-.2604 -1.4034 (14*2π)/1825130 weeks
15-.21379 1.003 (15*2π)/1825122 weeks
16.00643 -.34255 (16*2π)/1825114 weeks
17-.19668 -.24094 (17*2π)/1825107 weeks
18-.48699 .09323 (18*2π)/1825101 weeks
19.02822 .96802 (19*2π)/182596 weeks
201.33241 -.0015 (20*2π)/182591 weeks
21-.21979 -1.01296 (21*2π)/182587 weeks
22-.46609 .5703 (22*2π)/182583 weeks
23.93078 -.32065 (23*2π)/182579 weeks
24-.81278 -.70842 (24*2π)/182576 weeks
25.43202 .5014 (25*2π)/182573 weeks
26-.50327 -.74498 (26*2π)/182570 weeks
27-.28213 .84413 (27*2π)/182568 weeks
28.20903 .00808 (28*2π)/182565 weeks
29.18159 .29755 (29*2π)/182563 weeks
30.24335 -.24311 (30*2π)/182561 weeks
31-.20434 .29718 (31*2π)/182559 weeks
32.81807 -.19304 (32*2π)/182557 weeks
33-.20824 -.31219 (33*2π)/182555 weeks
34.09485 -.16759 (34*2π)/182554 weeks
35-.30159 -.08717 (35*2π)/182552 weeks
36-.04583 .23191 (36*2π)/182551 weeks
37.03804 -.20151 (37*2π)/182549 weeks
38.00115 -.07876 (38*2π)/182548 weeks
39-.23071 .08136 (39*2π)/182547 weeks
40-.01879 .50883 (40*2π)/182546 weeks
41.54682 -.16571 (41*2π)/182545 weeks
42-.19871 -.20712 (42*2π)/182543 weeks
43.02991 .22988 (43*2π)/182542 weeks
44.32063 -.15337 (44*2π)/182541 weeks
45.07067 -.21283 (45*2π)/182541 weeks
46-.08495 -.07315 (46*2π)/182540 weeks
47.01344 -.32971 (47*2π)/182539 weeks
48-.52881 .23447 (48*2π)/182538 weeks
49.30295 -.00134 (49*2π)/182537 weeks
50-.09409 -.13178 (50*2π)/182537 weeks
51-.1839 .14903 (51*2π)/182536 weeks
52.28564 .21893 (52*2π)/182535 weeks
53.07901 -.26019 (53*2π)/182534 weeks
54.02829 .09721 (54*2π)/182534 weeks
55.04149 -.09766 (55*2π)/182533 weeks
56.05278 -.13347 (56*2π)/182533 weeks
57-.09334 .02936 (57*2π)/182532 weeks
58.34196 -.18654 (58*2π)/182531 weeks
59-.57101 -.30509 (59*2π)/182531 weeks
60-.11361 .47336 (60*2π)/182530 weeks
61.19378 -.18313 (61*2π)/182530 weeks
62.04679 .17414 (62*2π)/182529 weeks
63-.08535 -.18207 (63*2π)/182529 weeks
64.03475 .30656 (64*2π)/182529 weeks
65.22189 -.16845 (65*2π)/182528 weeks
66.01089 .13304 (66*2π)/182528 weeks
67.11396 -.45902 (67*2π)/182527 weeks
68-.246 .17712 (68*2π)/182527 weeks
69.14996 -.00568 (69*2π)/182526 weeks
70.20312 -.13098 (70*2π)/182526 weeks
71-.38268 -.25786 (71*2π)/182526 weeks
72-.04204 .40011 (72*2π)/182525 weeks
73.06666 -.1791 (73*2π)/182525 weeks
74.06428 .20747 (74*2π)/182525 weeks
75.0032 -.20914 (75*2π)/182524 weeks
76.02697 .31605 (76*2π)/182524 weeks
77.28669 -.31794 (77*2π)/182524 weeks
78-.19409 .16158 (78*2π)/182523 weeks
79.26562 -.34693 (79*2π)/182523 weeks
80-.36222 -.03235 (80*2π)/182523 weeks
81.1631 .14001 (81*2π)/182523 weeks
82-.07403 -.19729 (82*2π)/182522 weeks
83-.07172 .02892 (83*2π)/182522 weeks
84-.0967 -.03661 (84*2π)/182522 weeks
85-.01148 .2274 (85*2π)/182521 weeks
86.10932 -.20344 (86*2π)/182521 weeks
87-.09428 .19694 (87*2π)/182521 weeks
88.25282 -.13835 (88*2π)/182521 weeks
89-.13086 .01863 (89*2π)/182521 weeks
90.16911 -.00566 (90*2π)/182520 weeks
91.00562 -.25121 (91*2π)/182520 weeks
92-.19201 .06908 (92*2π)/182520 weeks
93.10796 -.05749 (93*2π)/182520 weeks
94-.1373 .09379 (94*2π)/182519 weeks
95.0447 -.07813 (95*2π)/182519 weeks
96-.06661 .02155 (96*2π)/182519 weeks
97-.09681 .15064 (97*2π)/182519 weeks
98.22857 .00139 (98*2π)/182519 weeks
99-.02101 -.02486 (99*2π)/182518 weeks
100.15671 -.12432 (100*2π)/182518 weeks
101-.18925 .01956 (101*2π)/182518 weeks
102.33955 -.0535 (102*2π)/182518 weeks
103-.25128 -.27007 (103*2π)/182518 weeks
104-.09165 .04211 (104*2π)/182518 weeks
105-.04359 .10619 (105*2π)/182517 weeks
106.0867 -.04325 (106*2π)/182517 weeks
107-.12901 .00716 (107*2π)/182517 weeks
108.05804 .04769 (108*2π)/182517 weeks
109.01868 .04268 (109*2π)/182517 weeks
110.09312 -.03213 (110*2π)/182517 weeks
111.05592 -.03023 (111*2π)/182516 weeks
112-.03066 -.16347 (112*2π)/182516 weeks
113-.06681 .06395 (113*2π)/182516 weeks
114.08953 -.01138 (114*2π)/182516 weeks
115-.03074 -.23978 (115*2π)/182516 weeks
116-.21522 .08713 (116*2π)/182516 weeks
117.0911 .04182 (117*2π)/182516 weeks
118-.1323 .01443 (118*2π)/182515 weeks
119.15208 .02941 (119*2π)/182515 weeks
120-.09331 .02761 (120*2π)/182515 weeks
121.13999 -.03275 (121*2π)/182515 weeks
122-.14035 -.02015 (122*2π)/182515 weeks
123.27214 .07384 (123*2π)/182515 weeks
124-.15303 -.29697 (124*2π)/182515 weeks
125.01617 .16507 (125*2π)/182515 weeks
126-.0191 -.18025 (126*2π)/182514 weeks
127-.07448 .06991 (127*2π)/182514 weeks
128-.0169 .01366 (128*2π)/182514 weeks
129-.01629 -.07462 (129*2π)/182514 weeks
130-.07261 .10814 (130*2π)/182514 weeks
131.07526 .10437 (131*2π)/182514 weeks
132.11654 -.05501 (132*2π)/182514 weeks
133-.04432 -.10421 (133*2π)/182514 weeks
134-.01149 .08361 (134*2π)/182514 weeks
135.09912 -.09473 (135*2π)/182514 weeks
136-.05015 -.12295 (136*2π)/182513 weeks
137-.08529 .02159 (137*2π)/182513 weeks
138-.05937 .01706 (138*2π)/182513 weeks
139.05226 .0576 (139*2π)/182513 weeks
140.01166 -.07305 (140*2π)/182513 weeks
141-.07169 .00774 (141*2π)/182513 weeks
142-.03522 -.04024 (142*2π)/182513 weeks
143-.01739 .15948 (143*2π)/182513 weeks
144.1454 -.02394 (144*2π)/182513 weeks
145-.03627 -.08581 (145*2π)/182513 weeks
146.03395 .02757 (146*2π)/182513 weeks
147.06575 -.05201 (147*2π)/182512 weeks
148-.06761 -.13308 (148*2π)/182512 weeks
149-.02014 -.01991 (149*2π)/182512 weeks
150-.16009 -.04491 (150*2π)/182512 weeks
151-.00729 .17918 (151*2π)/182512 weeks
152.05145 -.02009 (152*2π)/182512 weeks
153.03724 -.00702 (153*2π)/182512 weeks
154-.07689 -.03865 (154*2π)/182512 weeks
155.05217 .19689 (155*2π)/182512 weeks
156.1522 -.19319 (156*2π)/182512 weeks
157-.12334 -.03935 (157*2π)/182512 weeks
158.04473 .01296 (158*2π)/182512 weeks
159-.03437 -.05393 (159*2π)/182511 weeks
160-.02476 .06116 (160*2π)/182511 weeks
161.08373 -.13802 (161*2π)/182511 weeks
162-.1996 -.00761 (162*2π)/182511 weeks
163.02971 .12695 (163*2π)/182511 weeks
164.0239 .04218 (164*2π)/182511 weeks
165.09618 -.09665 (165*2π)/182511 weeks
166-.13119 .00799 (166*2π)/182511 weeks
167.12394 .11971 (167*2π)/182511 weeks
168.07385 -.1528 (168*2π)/182511 weeks
169-.03054 -.04024 (169*2π)/182511 weeks
170-.01074 -.06986 (170*2π)/182511 weeks
171-.17158 .01385 (171*2π)/182511 weeks
172.13176 .0584 (172*2π)/182511 weeks
173-.06783 -.11803 (173*2π)/182511 weeks
174-.09749 .04592 (174*2π)/182510 weeks
175.00058 .09963 (175*2π)/182510 weeks
176.12821 .00146 (176*2π)/182510 weeks
177-.02493 -.06969 (177*2π)/182510 weeks
178-.0365 -.01565 (178*2π)/182510 weeks
179-.01911 .07249 (179*2π)/182510 weeks
180.09178 -.04569 (180*2π)/182510 weeks
181-.02297 -.04236 (181*2π)/182510 weeks
182-.00526 -.11953 (182*2π)/182510 weeks
183-.17217 .07247 (183*2π)/182510 weeks
184.13443 .04837 (184*2π)/182510 weeks
185-.04959 -.12259 (185*2π)/182510 weeks
186-.0915 .05713 (186*2π)/182510 weeks
187.01134 .05314 (187*2π)/182510 weeks
188.01808 .10689 (188*2π)/182510 weeks
189.10315 -.12361 (189*2π)/182510 weeks
190-.02589 .03428 (190*2π)/182510 weeks
191.01171 -.05304 (191*2π)/182510 weeks
192-.04098 .03632 (192*2π)/182510 weeks
193.11278 -.04504 (193*2π)/18259 weeks
194-.11133 -.11967 (194*2π)/18259 weeks
195-.06091 .08885 (195*2π)/18259 weeks
196.03386 -.02008 (196*2π)/18259 weeks
197-.00504 .03793 (197*2π)/18259 weeks
198.00662 -.05594 (198*2π)/18259 weeks
199-.09346 .03811 (199*2π)/18259 weeks
200.09745 .10108 (200*2π)/18259 weeks
201.06032 -.07818 (201*2π)/18259 weeks
202.00615 -.07222 (202*2π)/18259 weeks
203-.0602 -.05051 (203*2π)/18259 weeks
204-.00953 .05844 (204*2π)/18259 weeks
205.03472 -.08331 (205*2π)/18259 weeks
206-.07801 .00036 (206*2π)/18259 weeks
207-.02143 -.01583 (207*2π)/18259 weeks
208-.05452 .08151 (208*2π)/18259 weeks
209.06694 .00083 (209*2π)/18259 weeks
210.00847 -.01575 (210*2π)/18259 weeks
211-.03301 .02175 (211*2π)/18259 weeks
212.05232 .002 (212*2π)/18259 weeks
213.01277 -.00756 (213*2π)/18259 weeks
214.0266 -.0506 (214*2π)/18259 weeks
215-.00494 -.00225 (215*2π)/18258 weeks
216-.0511 -.06425 (216*2π)/18258 weeks
217.03662 .07085 (217*2π)/18258 weeks
218-.0515 -.11591 (218*2π)/18258 weeks
219-.06691 .07133 (219*2π)/18258 weeks
220-.00626 .00461 (220*2π)/18258 weeks
221.0361 .07214 (221*2π)/18258 weeks
222.02585 -.05607 (222*2π)/18258 weeks
223.00523 .04599 (223*2π)/18258 weeks
224.02509 -.06641 (224*2π)/18258 weeks
225-.01343 .06253 (225*2π)/18258 weeks
226.09774 -.09463 (226*2π)/18258 weeks
227-.10846 -.09805 (227*2π)/18258 weeks
228-.03771 .09212 (228*2π)/18258 weeks
229.03895 -.0231 (229*2π)/18258 weeks
230-.05393 .00343 (230*2π)/18258 weeks
231.01059 -.00844 (231*2π)/18258 weeks
232-.06993 .06293 (232*2π)/18258 weeks
233.08433 .01082 (233*2π)/18258 weeks
234.00587 .01098 (234*2π)/18258 weeks
235.07685 -.08434 (235*2π)/18258 weeks
236-.11189 -.01898 (236*2π)/18258 weeks
237.04173 .03291 (237*2π)/18258 weeks
238-.00721 -.03932 (238*2π)/18258 weeks
239-.01908 -.03271 (239*2π)/18258 weeks
240-.05906 .0035 (240*2π)/18258 weeks
241.02809 .02828 (241*2π)/18258 weeks
242-.03794 .00963 (242*2π)/18258 weeks
243.07068 .00798 (243*2π)/18258 weeks
244-.06394 -.05606 (244*2π)/18257 weeks
245.02184 .12638 (245*2π)/18257 weeks
246.04334 -.04928 (246*2π)/18257 weeks
247.06239 -.04225 (247*2π)/18257 weeks
248-.07042 -.06011 (248*2π)/18257 weeks
249.00241 .08242 (249*2π)/18257 weeks
250.045 -.13464 (250*2π)/18257 weeks
251-.10752 .05144 (251*2π)/18257 weeks
252.02974 -.01098 (252*2π)/18257 weeks
253-.0665 .03907 (253*2π)/18257 weeks
254.08249 .05701 (254*2π)/18257 weeks
255.01122 -.03985 (255*2π)/18257 weeks
256-.01148 -.02992 (256*2π)/18257 weeks
257-.02497 .02148 (257*2π)/18257 weeks
258.04241 -.00026 (258*2π)/18257 weeks
259-.00004 -.03094 (259*2π)/18257 weeks
260-.01437 -.03062 (260*2π)/18257 weeks
261-.0001 .04737 (261*2π)/18257 weeks
262-.00416 -.08962 (262*2π)/18257 weeks
263-.03687 .05848 (263*2π)/18257 weeks
264.03173 -.06733 (264*2π)/18257 weeks
265-.10016 .04197 (265*2π)/18257 weeks
266.05866 .03768 (266*2π)/18257 weeks
267-.00728 .00555 (267*2π)/18257 weeks
268.04241 -.00621 (268*2π)/18257 weeks
269-.01096 -.038 (269*2π)/18257 weeks
270.01495 .02911 (270*2π)/18257 weeks
271.02122 -.04989 (271*2π)/18257 weeks
272-.03865 -.0238 (272*2π)/18257 weeks
273.02175 -.02532 (273*2π)/18257 weeks
274-.10314 -.01609 (274*2π)/18257 weeks
275.0626 .09164 (275*2π)/18257 weeks
276-.02482 -.12587 (276*2π)/18257 weeks
277-.03056 .11608 (277*2π)/18257 weeks
278.0032 -.03365 (278*2π)/18257 weeks
279.0572 .07624 (279*2π)/18257 weeks
280.0258 -.13888 (280*2π)/18257 weeks
281-.06275 .08398 (281*2π)/18256 weeks
282.06722 -.06197 (282*2π)/18256 weeks
283-.02309 -.00864 (283*2π)/18256 weeks
284-.00555 -.01258 (284*2π)/18256 weeks
285-.00983 -.01758 (285*2π)/18256 weeks
286-.06801 -.019 (286*2π)/18256 weeks
287.03333 .07435 (287*2π)/18256 weeks
288-.01815 -.05031 (288*2π)/18256 weeks
289.00059 .04063 (289*2π)/18256 weeks
290.02044 .02529 (290*2π)/18256 weeks
291.04347 -.00906 (291*2π)/18256 weeks
292-.01519 -.01865 (292*2π)/18256 weeks
293.02041 .00269 (293*2π)/18256 weeks
294-.00066 -.08284 (294*2π)/18256 weeks
295-.05141 .05014 (295*2π)/18256 weeks
296.05261 -.0268 (296*2π)/18256 weeks
297-.07426 -.04441 (297*2π)/18256 weeks
298-.01152 .03373 (298*2π)/18256 weeks
299-.02199 .02412 (299*2π)/18256 weeks
300.04005 -.01307 (300*2π)/18256 weeks
301-.01957 .02626 (301*2π)/18256 weeks
302.05405 -.02332 (302*2π)/18256 weeks
303-.04209 .01054 (303*2π)/18256 weeks
304.05685 -.01054 (304*2π)/18256 weeks
305.00597 -.04224 (305*2π)/18256 weeks
306-.03923 -.05462 (306*2π)/18256 weeks
307-.05713 .01749 (307*2π)/18256 weeks
308.03262 .02503 (308*2π)/18256 weeks
309-.03247 -.00481 (309*2π)/18256 weeks
310-.00009 .02364 (310*2π)/18256 weeks
311-.00921 -.00868 (311*2π)/18256 weeks
312.00972 .04748 (312*2π)/18256 weeks
313.02002 -.03358 (313*2π)/18256 weeks
314.01768 .00512 (314*2π)/18256 weeks
315-.02394 -.0131 (315*2π)/18256 weeks
316.03052 .01758 (316*2π)/18256 weeks
317.02903 -.0477 (317*2π)/18256 weeks
318-.02313 -.03904 (318*2π)/18256 weeks
319-.04951 -.00924 (319*2π)/18256 weeks
320.00439 .02335 (320*2π)/18256 weeks
321-.01227 -.00944 (321*2π)/18256 weeks
322.00231 .01257 (322*2π)/18256 weeks
323-.0037 -.00172 (323*2π)/18256 weeks
324.01328 .02755 (324*2π)/18256 weeks
325.02261 -.01405 (325*2π)/18256 weeks
326.04104 -.01966 (326*2π)/18256 weeks
327-.04402 -.06558 (327*2π)/18256 weeks
328-.01101 .05689 (328*2π)/18256 weeks
329.03232 -.07245 (329*2π)/18256 weeks
330-.0693 .00307 (330*2π)/18256 weeks
331-.00292 -.01594 (331*2π)/18256 weeks
332-.01348 .04607 (332*2π)/18255 weeks
333.00632 -.047 (333*2π)/18255 weeks
334-.01654 .0737 (334*2π)/18255 weeks
335.05005 -.07392 (335*2π)/18255 weeks
336-.07186 .04984 (336*2π)/18255 weeks
337.1089 -.00199 (337*2π)/18255 weeks
338-.03428 -.06366 (338*2π)/18255 weeks
339-.02348 -.03647 (339*2π)/18255 weeks
340-.04955 .05692 (340*2π)/18255 weeks
341.08572 -.01627 (341*2π)/18255 weeks
342-.08959 -.07263 (342*2π)/18255 weeks
343-.00477 .06472 (343*2π)/18255 weeks
344-.01596 -.01712 (344*2π)/18255 weeks
345.02275 .05594 (345*2π)/18255 weeks
346.02753 -.04495 (346*2π)/18255 weeks
347-.03962 -.01378 (347*2π)/18255 weeks
348.0095 .01515 (348*2π)/18255 weeks
349.02817 .02376 (349*2π)/18255 weeks
350.01673 -.08336 (350*2π)/18255 weeks
351-.05002 .00621 (351*2π)/18255 weeks
352.00201 .01165 (352*2π)/18255 weeks
353-.02154 -.02148 (353*2π)/18255 weeks
354-.03625 .02937 (354*2π)/18255 weeks
355.06761 -.02185 (355*2π)/18255 weeks
356-.10116 -.00387 (356*2π)/18255 weeks
357.0491 .07349 (357*2π)/18255 weeks
358.03248 -.03638 (358*2π)/18255 weeks
359-.00271 -.01076 (359*2π)/18255 weeks
360-.04817 .0101 (360*2π)/18255 weeks
361.04971 .00623 (361*2π)/18255 weeks
362.01097 -.03953 (362*2π)/18255 weeks
363-.0293 -.01181 (363*2π)/18255 weeks
364-.00915 -.02169 (364*2π)/18255 weeks
365-.04057 .0058 (365*2π)/18255 weeks
366.00213 .04991 (366*2π)/18255 weeks
367.01588 -.04705 (367*2π)/18255 weeks
368-.02274 .02536 (368*2π)/18255 weeks
369-.00897 .03224 (369*2π)/18255 weeks
370.0593 .00934 (370*2π)/18255 weeks
371-.01172 -.0461 (371*2π)/18255 weeks
372.01707 -.01295 (372*2π)/18255 weeks
373-.04302 -.01882 (373*2π)/18255 weeks
374.0392 .0231 (374*2π)/18255 weeks
375-.03575 -.0359 (375*2π)/18255 weeks
376.02231 -.01048 (376*2π)/18255 weeks
377-.11735 -.0053 (377*2π)/18255 weeks
378.06423 .0612 (378*2π)/18255 weeks
379-.0262 -.02614 (379*2π)/18255 weeks
380.03968 .00959 (380*2π)/18255 weeks
381-.0446 .00912 (381*2π)/18255 weeks
382.06488 .00752 (382*2π)/18255 weeks
383-.03456 -.00572 (383*2π)/18255 weeks
384.06965 -.03112 (384*2π)/18255 weeks
385-.06882 -.06146 (385*2π)/18255 weeks
386-.0064 .03429 (386*2π)/18255 weeks
387-.00926 .01832 (387*2π)/18255 weeks
388.05115 -.05497 (388*2π)/18255 weeks
389-.13525 .01835 (389*2π)/18255 weeks
390.08578 .07111 (390*2π)/18255 weeks
391-.00794 -.03268 (391*2π)/18255 weeks
392.0202 -.01713 (392*2π)/18255 weeks
393-.02215 .02081 (393*2π)/18255 weeks
394.02076 -.01382 (394*2π)/18255 weeks
395.01466 .0186 (395*2π)/18255 weeks
396.01774 -.08605 (396*2π)/18255 weeks
397-.0449 .00599 (397*2π)/18255 weeks
398-.03844 -.00246 (398*2π)/18255 weeks
399.01393 .04702 (399*2π)/18255 weeks
400-.00115 -.08547 (400*2π)/18255 weeks
401-.05023 .08112 (401*2π)/18255 weeks
402-.00007 -.03319 (402*2π)/18255 weeks
403.03711 .07426 (403*2π)/18255 weeks
404.03407 -.06784 (404*2π)/18255 weeks
405-.04063 .01796 (405*2π)/18255 weeks
406.03016 -.01381 (406*2π)/18254 weeks
407-.00302 -.00471 (407*2π)/18254 weeks
408.01342 -.02809 (408*2π)/18254 weeks
409-.04101 -.04736 (409*2π)/18254 weeks
410-.03944 .05067 (410*2π)/18254 weeks
411.02447 .00309 (411*2π)/18254 weeks
412-.01785 .00079 (412*2π)/18254 weeks
413.00635 .0246 (413*2π)/18254 weeks
414.02311 .00413 (414*2π)/18254 weeks
415.00548 -.00042 (415*2π)/18254 weeks
416.00797 -.01697 (416*2π)/18254 weeks
417.01912