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Fourier Analysis of EFA (ISHARES MSCI EAFE ETF ISHARES MSCI EAFE ETF)


EFA (ISHARES MSCI EAFE ETF ISHARES MSCI EAFE ETF) appears to have interesting cyclic behaviour every 77 weeks (1.6992*sine), 77 weeks (1.4501*cosine), and 60 weeks (1.2408*cosine).

EFA (ISHARES MSCI EAFE ETF ISHARES MSCI EAFE ETF) has an average price of 45.11 (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 8/17/2001 to 10/16/2017 for EFA (ISHARES MSCI EAFE ETF ISHARES MSCI EAFE ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
045.10703   0 
1-1.84872 -8.76512 (1*2π)/845845 weeks
2-3.26331 -11.16409 (2*2π)/845423 weeks
32.58486 -2.92295 (3*2π)/845282 weeks
4-.77419 -.67853 (4*2π)/845211 weeks
53.50714 -4.8561 (5*2π)/845169 weeks
6.10426 -.60678 (6*2π)/845141 weeks
7.70668 -2.54546 (7*2π)/845121 weeks
81.05789 -.89479 (8*2π)/845106 weeks
9-1.06209 -1.91766 (9*2π)/84594 weeks
10.80401 -1.08763 (10*2π)/84585 weeks
11-1.45011 -1.69917 (11*2π)/84577 weeks
12.71841 -.56369 (12*2π)/84570 weeks
13-.66071 -1.43925 (13*2π)/84565 weeks
141.24076 -1.04822 (14*2π)/84560 weeks
15-.15364 -1.10382 (15*2π)/84556 weeks
16-.45129 -1.3315 (16*2π)/84553 weeks
17-.15742 -.78014 (17*2π)/84550 weeks
18-.19686 -1.24255 (18*2π)/84547 weeks
19.09187 -.28493 (19*2π)/84544 weeks
20.07788 -.68351 (20*2π)/84542 weeks
21.19317 -.96613 (21*2π)/84540 weeks
22-.54225 -.40966 (22*2π)/84538 weeks
23.08971 -.74211 (23*2π)/84537 weeks
24.04103 -.3649 (24*2π)/84535 weeks
25.16791 -.31666 (25*2π)/84534 weeks
26.24844 -.68506 (26*2π)/84533 weeks
27-.39998 -.36795 (27*2π)/84531 weeks
28.31405 -.5198 (28*2π)/84530 weeks
29-.17884 -.22243 (29*2π)/84529 weeks
30-.4069 -.58561 (30*2π)/84528 weeks
31-.00569 -.31042 (31*2π)/84527 weeks
32-.02749 -.35601 (32*2π)/84526 weeks
33-.05918 -.66713 (33*2π)/84526 weeks
34.1278 -.34184 (34*2π)/84525 weeks
35-.07774 -.68287 (35*2π)/84524 weeks
36-.10641 -.49521 (36*2π)/84523 weeks
37-.10409 -.31156 (37*2π)/84523 weeks
38-.17616 -.29654 (38*2π)/84522 weeks
39.01351 -.3803 (39*2π)/84522 weeks
40-.0855 .09191 (40*2π)/84521 weeks
41.25048 -.57238 (41*2π)/84521 weeks
42-.07594 -.08345 (42*2π)/84520 weeks
43.00353 -.46697 (43*2π)/84520 weeks
44.30968 -.59696 (44*2π)/84519 weeks
45-.13673 -.50046 (45*2π)/84519 weeks
46.11097 -.29373 (46*2π)/84518 weeks
47-.26871 -.3498 (47*2π)/84518 weeks
48.09476 -.37093 (48*2π)/84518 weeks
49-.08783 -.02281 (49*2π)/84517 weeks
50-.04246 -.50897 (50*2π)/84517 weeks
51.13127 -.05262 (51*2π)/84517 weeks
52-.0478 -.61994 (52*2π)/84516 weeks
53-.05446 .00409 (53*2π)/84516 weeks
54-.13875 -.4385 (54*2π)/84516 weeks
55.09346 -.21716 (55*2π)/84515 weeks
56-.11524 -.09985 (56*2π)/84515 weeks
57-.03514 -.21264 (57*2π)/84515 weeks
58.03527 -.35997 (58*2π)/84515 weeks
59-.1611 -.22633 (59*2π)/84514 weeks
60.07324 -.20527 (60*2π)/84514 weeks
61-.14144 -.22762 (61*2π)/84514 weeks
62.16169 -.23098 (62*2π)/84514 weeks
63-.15668 -.31722 (63*2π)/84513 weeks
64-.03456 .0523 (64*2π)/84513 weeks
65.04201 -.27413 (65*2π)/84513 weeks
66-.04328 -.14755 (66*2π)/84513 weeks
67.00741 -.2016 (67*2π)/84513 weeks
68-.00261 -.35401 (68*2π)/84512 weeks
69-.0372 -.04353 (69*2π)/84512 weeks
70-.20414 -.1079 (70*2π)/84512 weeks
71-.03397 -.2115 (71*2π)/84512 weeks
72.03068 -.06874 (72*2π)/84512 weeks
73.09025 -.37352 (73*2π)/84512 weeks
74-.10663 -.31865 (74*2π)/84511 weeks
75-.12156 -.09531 (75*2π)/84511 weeks
76-.09406 -.15516 (76*2π)/84511 weeks
77.09616 -.1257 (77*2π)/84511 weeks
78-.04303 -.22734 (78*2π)/84511 weeks
79.13653 -.16628 (79*2π)/84511 weeks
80.10514 -.16556 (80*2π)/84511 weeks
81-.05925 -.27032 (81*2π)/84510 weeks
82-.02207 -.18409 (82*2π)/84510 weeks
83-.02738 -.1328 (83*2π)/84510 weeks
84-.10039 -.23826 (84*2π)/84510 weeks
85.00029 -.16109 (85*2π)/84510 weeks
86-.16867 -.15142 (86*2π)/84510 weeks
87.01302 -.04274 (87*2π)/84510 weeks
88-.04455 -.17924 (88*2π)/84510 weeks
89.02071 -.21074 (89*2π)/8459 weeks
90-.10716 -.17326 (90*2π)/8459 weeks
91-.00341 -.15143 (91*2π)/8459 weeks
92-.00253 -.0599 (92*2π)/8459 weeks
93-.11113 -.16338 (93*2π)/8459 weeks
94-.00145 -.02646 (94*2π)/8459 weeks
95-.05572 -.21503 (95*2π)/8459 weeks
96-.07041 -.08776 (96*2π)/8459 weeks
97-.03917 -.04712 (97*2π)/8459 weeks
98-.06026 -.11566 (98*2π)/8459 weeks
99-.11302 -.11738 (99*2π)/8459 weeks
100-.06638 -.12167 (100*2π)/8458 weeks
101-.16723 -.06086 (101*2π)/8458 weeks
102-.04671 -.07618 (102*2π)/8458 weeks
103.0459 -.12436 (103*2π)/8458 weeks
104-.09749 -.13049 (104*2π)/8458 weeks
105-.04795 -.0908 (105*2π)/8458 weeks
106.01863 -.13665 (106*2π)/8458 weeks
107-.06829 -.125 (107*2π)/8458 weeks
108-.05228 -.0563 (108*2π)/8458 weeks
109-.03662 -.20796 (109*2π)/8458 weeks
110.14712 -.04742 (110*2π)/8458 weeks
111-.14591 -.12397 (111*2π)/8458 weeks
112.02997 -.1548 (112*2π)/8458 weeks
113-.14056 -.02222 (113*2π)/8457 weeks
114.06845 -.15941 (114*2π)/8457 weeks
115-.04168 -.0309 (115*2π)/8457 weeks
116.04133 -.14816 (116*2π)/8457 weeks
117-.1537 -.09349 (117*2π)/8457 weeks
118-.0824 .02674 (118*2π)/8457 weeks
119.09351 -.12944 (119*2π)/8457 weeks
120-.1746 -.13052 (120*2π)/8457 weeks
121.04818 -.13321 (121*2π)/8457 weeks
122-.21136 -.1003 (122*2π)/8457 weeks
123-.00246 -.07607 (123*2π)/8457 weeks
124-.01541 -.01293 (124*2π)/8457 weeks
125-.10128 -.17815 (125*2π)/8457 weeks
126-.02261 -.00736 (126*2π)/8457 weeks
127.0696 -.10556 (127*2π)/8457 weeks
128-.06587 -.07418 (128*2π)/8457 weeks
129.01687 -.03745 (129*2π)/8457 weeks
130.06175 -.07211 (130*2π)/8457 weeks
131-.13827 -.07011 (131*2π)/8456 weeks
132.0286 -.10521 (132*2π)/8456 weeks
133-.11199 -.07604 (133*2π)/8456 weeks
134-.0372 -.17246 (134*2π)/8456 weeks
135-.10114 .05523 (135*2π)/8456 weeks
136-.08386 -.09381 (136*2π)/8456 weeks
137.00725 -.00403 (137*2π)/8456 weeks
138-.09742 -.13897 (138*2π)/8456 weeks
139.04143 -.08247 (139*2π)/8456 weeks
140-.02786 -.1456 (140*2π)/8456 weeks
141-.00496 -.10976 (141*2π)/8456 weeks
142-.08029 -.12395 (142*2π)/8456 weeks
143-.06534 -.0917 (143*2π)/8456 weeks
144-.09854 -.08182 (144*2π)/8456 weeks
145-.02191 -.03554 (145*2π)/8456 weeks
146-.0465 -.13376 (146*2π)/8456 weeks
147-.12798 -.05775 (147*2π)/8456 weeks
148-.047 -.06261 (148*2π)/8456 weeks
149-.02082 -.01052 (149*2π)/8456 weeks
150-.00506 -.10201 (150*2π)/8456 weeks
151.00131 -.04462 (151*2π)/8456 weeks
152-.07898 -.10923 (152*2π)/8456 weeks
153-.03802 -.08774 (153*2π)/8456 weeks
154-.12137 -.09645 (154*2π)/8455 weeks
155-.13543 -.10029 (155*2π)/8455 weeks
156-.16217 -.03387 (156*2π)/8455 weeks
157-.10907 -.00897 (157*2π)/8455 weeks
158-.07271 -.02661 (158*2π)/8455 weeks
159.01895 -.12481 (159*2π)/8455 weeks
160-.06182 -.04404 (160*2π)/8455 weeks
161-.05926 -.11133 (161*2π)/8455 weeks
162.04355 -.06796 (162*2π)/8455 weeks
163-.0988 -.12014 (163*2π)/8455 weeks
164-.05741 -.09801 (164*2π)/8455 weeks
165-.07729 .00039 (165*2π)/8455 weeks
166-.05043 -.09571 (166*2π)/8455 weeks
167-.0384 .02723 (167*2π)/8455 weeks
168.02703 -.11277 (168*2π)/8455 weeks
169-.02158 -.0634 (169*2π)/8455 weeks
170-.03802 -.12678 (170*2π)/8455 weeks
171-.0793 -.0531 (171*2π)/8455 weeks
172-.1103 -.11371 (172*2π)/8455 weeks
173-.0182 -.02698 (173*2π)/8455 weeks
174-.083 -.00967 (174*2π)/8455 weeks
175-.06692 -.15891 (175*2π)/8455 weeks
176-.10436 .0442 (176*2π)/8455 weeks
177-.00079 -.07957 (177*2π)/8455 weeks
178-.04845 -.06067 (178*2π)/8455 weeks
179-.07992 -.14969 (179*2π)/8455 weeks
180-.06069 -.03649 (180*2π)/8455 weeks
181-.11861 .00151 (181*2π)/8455 weeks
182-.0147 -.10446 (182*2π)/8455 weeks
183-.06552 -.00947 (183*2π)/8455 weeks
184-.05676 -.03682 (184*2π)/8455 weeks
185-.03452 -.07823 (185*2π)/8455 weeks
186-.02627 -.10272 (186*2π)/8455 weeks
187-.07567 -.04293 (187*2π)/8455 weeks
188-.08096 -.08809 (188*2π)/8454 weeks
189-.03385 -.00868 (189*2π)/8454 weeks
190-.10661 -.16961 (190*2π)/8454 weeks
191-.09087 -.0072 (191*2π)/8454 weeks
192-.09464 -.01845 (192*2π)/8454 weeks
193.0027 -.02071 (193*2π)/8454 weeks
194-.05239 -.0235 (194*2π)/8454 weeks
195-.0357 -.16798 (195*2π)/8454 weeks
196-.01467 -.06415 (196*2π)/8454 weeks
197-.08761 -.00209 (197*2π)/8454 weeks
198-.04966 -.10103 (198*2π)/8454 weeks
199-.07688 -.0064 (199*2π)/8454 weeks
200.00691 -.12424 (200*2π)/8454 weeks
201-.11455 -.07054 (201*2π)/8454 weeks
202-.06935 -.08696 (202*2π)/8454 weeks
203.00638 -.06383 (203*2π)/8454 weeks
204-.02008 .04991 (204*2π)/8454 weeks
205-.04249 -.11624 (205*2π)/8454 weeks
206.04592 -.08314 (206*2π)/8454 weeks
207-.09329 -.06027 (207*2π)/8454 weeks
208-.09106 -.10897 (208*2π)/8454 weeks
209-.0856 -.01647 (209*2π)/8454 weeks
210-.04149 -.07359 (210*2π)/8454 weeks
211-.04707 .00802 (211*2π)/8454 weeks
212.02195 -.07095 (212*2π)/8454 weeks
213-.07556 -.06323 (213*2π)/8454 weeks
214-.02275 -.09075 (214*2π)/8454 weeks
215-.0929 -.09818 (215*2π)/8454 weeks
216-.0753 -.08911 (216*2π)/8454 weeks
217-.07123 .0432 (217*2π)/8454 weeks
218-.0545 -.09857 (218*2π)/8454 weeks
219-.09269 -.01504 (219*2π)/8454 weeks
220-.01954 -.03364 (220*2π)/8454 weeks
221-.08488 -.02733 (221*2π)/8454 weeks
222.01128 -.03683 (222*2π)/8454 weeks
223-.01085 -.09234 (223*2π)/8454 weeks
224-.06151 -.03539 (224*2π)/8454 weeks
225-.09286 -.07549 (225*2π)/8454 weeks
226-.02426 -.04707 (226*2π)/8454 weeks
227-.06799 .01149 (227*2π)/8454 weeks
228-.0024 -.05029 (228*2π)/8454 weeks
229-.07009 -.06473 (229*2π)/8454 weeks
230-.08524 -.04308 (230*2π)/8454 weeks
231-.01646 -.05562 (231*2π)/8454 weeks
232-.06035 -.09796 (232*2π)/8454 weeks
233-.02642 .00004 (233*2π)/8454 weeks
234-.09301 -.07541 (234*2π)/8454 weeks
235-.05401 -.02561 (235*2π)/8454 weeks
236-.01829 -.02978 (236*2π)/8454 weeks
237-.05051 .01845 (237*2π)/8454 weeks
238-.08179 -.04731 (238*2π)/8454 weeks
239-.03217 -.03598 (239*2π)/8454 weeks
240-.00213 -.05885 (240*2π)/8454 weeks
241-.0362 -.03859 (241*2π)/8454 weeks
242-.02602 -.07509 (242*2π)/8453 weeks
243-.1084 -.03271 (243*2π)/8453 weeks
244.02747 -.03486 (244*2π)/8453 weeks
245-.11696 -.06464 (245*2π)/8453 weeks
246-.03688 -.04633 (246*2π)/8453 weeks
247-.04306 -.05051 (247*2π)/8453 weeks
248-.07987 -.00619 (248*2π)/8453 weeks
249-.05868 -.07636 (249*2π)/8453 weeks
250-.06312 -.04052 (250*2π)/8453 weeks
251-.07205 -.0572 (251*2π)/8453 weeks
252-.08903 .00541 (252*2π)/8453 weeks
253-.01389 -.02837 (253*2π)/8453 weeks
254-.05638 -.05592 (254*2π)/8453 weeks
255-.07885 -.0184 (255*2π)/8453 weeks
256-.0065 .00709 (256*2π)/8453 weeks
257-.05365 -.08142 (257*2π)/8453 weeks
258.00591 -.02177 (258*2π)/8453 weeks
259-.06242 -.03665 (259*2π)/8453 weeks
260-.05958 -.04521 (260*2π)/8453 weeks
261-.04689 -.00167 (261*2π)/8453 weeks
262-.01728 -.02742 (262*2π)/8453 weeks
263-.04235 -.0326 (263*2π)/8453 weeks
264-.06001 -.05768 (264*2π)/8453 weeks
265-.095 .01151 (265*2π)/8453 weeks
266-.01254 .02722 (266*2π)/8453 weeks
267-.01365 .02366 (267*2π)/8453 weeks
268-.07607 -.05057 (268*2π)/8453 weeks
269.01044 .01921 (269*2π)/8453 weeks
270-.08516 -.0149 (270*2π)/8453 weeks
271-.03121 -.08204 (271*2π)/8453 weeks
272-.07022 .0079 (272*2π)/8453 weeks
273-.08885 -.05302 (273*2π)/8453 weeks
274-.02193 .01994 (274*2π)/8453 weeks
275-.05718 -.0543 (275*2π)/8453 weeks
276-.03876 -.00855 (276*2π)/8453 weeks
277-.06996 -.00439 (277*2π)/8453 weeks
278-.04922 -.0415 (278*2π)/8453 weeks
279-.04903 -.021 (279*2π)/8453 weeks
280-.02334 -.02357 (280*2π)/8453 weeks
281-.0622 -.00818 (281*2π)/8453 weeks
282-.09176 -.01567 (282*2π)/8453 weeks
283-.03527 -.00585 (283*2π)/8453 weeks
284-.04148 -.02115 (284*2π)/8453 weeks
285-.00057 -.02089 (285*2π)/8453 weeks
286-.06085 .00297 (286*2π)/8453 weeks
287-.05177 -.08749 (287*2π)/8453 weeks
288-.07453 -.01116 (288*2π)/8453 weeks
289-.06747 -.00467 (289*2π)/8453 weeks
290-.0734 -.05244 (290*2π)/8453 weeks
291.01328 .01319 (291*2π)/8453 weeks
292-.05455 -.05591 (292*2π)/8453 weeks
293-.07113 -.04454 (293*2π)/8453 weeks
294-.04999 -.00503 (294*2π)/8453 weeks
295-.05868 -.05393 (295*2π)/8453 weeks
296-.06284 .04384 (296*2π)/8453 weeks
297-.0455 -.01046 (297*2π)/8453 weeks
298-.01984 -.06104 (298*2π)/8453 weeks
299-.04351 .038 (299*2π)/8453 weeks
300-.0302 -.13816 (300*2π)/8453 weeks
301-.08571 .00128 (301*2π)/8453 weeks
302-.07952 -.01666 (302*2π)/8453 weeks
303-.04775 -.02013 (303*2π)/8453 weeks
304-.09459 -.01807 (304*2π)/8453 weeks
305-.03495 -.00792 (305*2π)/8453 weeks
306-.05395 -.01614 (306*2π)/8453 weeks
307-.08333 .01618 (307*2π)/8453 weeks
308-.01102 -.07729 (308*2π)/8453 weeks
309-.09393 .0081 (309*2π)/8453 weeks
310-.06089 -.00051 (310*2π)/8453 weeks
311-.03544 -.095 (311*2π)/8453 weeks
312-.1056 .02088 (312*2π)/8453 weeks
313-.04179 -.02122 (313*2π)/8453 weeks
314-.0516 -.05379 (314*2π)/8453 weeks
315-.09859 .00407 (315*2π)/8453 weeks
316-.03504 -.05095 (316*2π)/8453 weeks
317-.08065 .01679 (317*2π)/8453 weeks
318-.01153 -.04244 (318*2π)/8453 weeks
319-.08199 .03768 (319*2π)/8453 weeks
320-.05802 -.05288 (320*2π)/8453 weeks
321-.02503 .02945 (321*2π)/8453 weeks
322-.10623 -.03548 (322*2π)/8453 weeks
323-.04423 .01204 (323*2π)/8453 weeks
324-.06816 -.01701 (324*2π)/8453 weeks
325-.01328 -.02814 (325*2π)/8453 weeks
326-.06416 -.00656 (326*2π)/8453 weeks
327-.06466 -.02799 (327*2π)/8453 weeks
328-.08344 .05528 (328*2π)/8453 weeks
329.00607 -.0301 (329*2π)/8453 weeks
330-.09888 -.01161 (330*2π)/8453 weeks
331-.05536 -.07056 (331*2π)/8453 weeks
332-.03219 .01086 (332*2π)/8453 weeks
333-.10208 -.03921 (333*2π)/8453 weeks
334-.0119 .01962 (334*2π)/8453 weeks
335-.06179 -.02128 (335*2π)/8453 weeks
336-.03044 .00575 (336*2π)/8453 weeks
337-.06089 -.02894 (337*2π)/8453 weeks
338-.07625 -.02079 (338*2π)/8453 weeks
339-.01391 -.0052 (339*2π)/8452 weeks
340-.0959 .01472 (340*2π)/8452 weeks
341-.03145 -.02148 (341*2π)/8452 weeks
342-.06591 -.00865 (342*2π)/8452 weeks
343-.04966 -.01222 (343*2π)/8452 weeks
344-.02837 -.0219 (344*2π)/8452 weeks
345-.09008 -.01334 (345*2π)/8452 weeks
346-.01461 -.0435 (346*2π)/8452 weeks
347-.07184 -.01185 (347*2π)/8452 weeks
348-.07577 .00846 (348*2π)/8452 weeks
349-.05993 -.03705 (349*2π)/8452 weeks
350-.02597 -.03604 (350*2π)/8452 weeks
351-.09338 .06765 (351*2π)/8452 weeks
352-.01798 -.03091 (352*2π)/8452 weeks
353-.02738 .01505 (353*2π)/8452 weeks
354-.0508 -.02409 (354*2π)/8452 weeks
355-.06278 -.0499 (355*2π)/8452 weeks
356-.05206 -.03162 (356*2π)/8452 weeks
357-.05956 -.0186 (357*2π)/8452 weeks
358-.07007 -.01456 (358*2π)/8452 weeks
359-.05003 -.01219 (359*2π)/8452 weeks
360-.0805 -.02941 (360*2π)/8452 weeks
361-.04257 -.0402 (361*2π)/8452 weeks
362-.04486 .01224 (362*2π)/8452 weeks
363-.08509 -.02171 (363*2π)/8452 weeks
364-.02935 -.00787 (364*2π)/8452 weeks
365-.0577 .00445 (365*2π)/8452 weeks
366-.04487 -.01802 (366*2π)/8452 weeks
367-.02213 .06036 (367*2π)/8452 weeks
368-.00497 -.06113 (368*2π)/8452 weeks
369-.0345 -.03892 (369*2π)/8452 weeks
370-.0684 -.00069 (370*2π)/8452 weeks
371-.04716 -.04231 (371*2π)/8452 weeks
372-.10347 -.01178 (372*2π)/8452 weeks
373-.04187 -.01155 (373*2π)/8452 weeks
374-.02775 -.02476 (374*2π)/8452 weeks
375-.06122 -.02651 (375*2π)/8452 weeks
376-.05056 -.03927 (376*2π)/8452 weeks
377-.08536 -.04075 (377*2π)/8452 weeks
378-.07069 -.00329 (378*2π)/8452 weeks
379-.04004 -.03893 (379*2π)/8452 weeks
380-.06969 .05618 (380*2π)/8452 weeks
381-.04708 -.0352 (381*2π)/8452 weeks
382-.02624 -.01345 (382*2π)/8452 weeks
383-.09999 -.00888 (383*2π)/8452 weeks
384-.03827 -.0302 (384*2π)/8452 weeks
385-.08235 -.01286 (385*2π)/8452 weeks
386-.02776 -.03256 (386*2π)/8452 weeks
387-.05522 .01263 (387*2π)/8452 weeks
388-.04424 -.045 (388*2π)/8452 weeks
389-.00395 .0388 (389*2π)/8452 weeks
390-.08227 .01889 (390*2π)/8452 weeks
391-.03343 -.00007 (391*2π)/8452 weeks
392-.03569 .01033 (392*2π)/8452 weeks
393-.06903 -.059 (393*2π)/8452 weeks
394-.0365 .06173 (394*2π)/8452 weeks
395-.04623 -.06872 (395*2π)/8452 weeks
396-.04967 .01832 (396*2π)/8452 weeks
397-.04284 -.02095 (397*2π)/8452 weeks
398-.07383 -.02936 (398*2π)/8452 weeks
399-.0685 .04253 (399*2π)/8452 weeks
400-.03941 -.00008 (400*2π)/8452 weeks
401-.06704 .03138 (401*2π)/8452 weeks
402.00285 -.00377 (402*2π)/8452 weeks
403-.03625 .02691 (403*2π)/8452 weeks
404-.00645 -.06879 (404*2π)/8452 weeks
405-.03346 -.06171 (405*2π)/8452 weeks
406-.04077 -.00876 (406*2π)/8452 weeks
407-.07457 -.03969 (407*2π)/8452 weeks
408-.04084 -.04676 (408*2π)/8452 weeks
409-.04047 .01159 (409*2π)/8452 weeks
410-.05186 .01697 (410*2π)/8452 weeks
411-.0024 -.06665 (411*2π)/8452 weeks
412-.07095 .04472 (412*2π)/8452 weeks
413.00318 -.06079 (413*2π)/8452 weeks
414-.07801 .02749 (414*2π)/8452 weeks
415-.06035 -.01146 (415*2π)/8452 weeks
416-.05412 .00022 (416*2π)/8452 weeks
417-.04001 .01109 (417*2π)/8452 weeks
418.01413 .01622 (418*2π)/8452 weeks
419-.01764 -.03312 (419*2π)/8452 weeks
420-.04536 -.00541 (420*2π)/8452 weeks
421-.06482 .01981 (421*2π)/8452 weeks
422-.04757 -.0524 (422*2π)/8452 weeks
423-.04757 .0524 (423*2π)/8452 weeks
424-.06482 -.01981 (424*2π)/8452 weeks
425-.04536 .00541 (425*2π)/8452 weeks
426-.01764 .03312 (426*2π)/8452 weeks
427.01413 -.01622 (427*2π)/8452 weeks
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8422.58486 2.92295 (842*2π)/8451 weeks
843-3.26331 11.16409 (843*2π)/8451 weeks



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