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Fourier Analysis of EEM (iShares MSCI Emerging Index Fun)


EEM (iShares MSCI Emerging Index Fun) appears to have interesting cyclic behaviour every 73 weeks (1.7283*sine), 61 weeks (1.1194*cosine), and 61 weeks (.8639*sine).

EEM (iShares MSCI Emerging Index Fun) has an average price of 31.38 (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 4/14/2003 to 3/20/2017 for EEM (iShares MSCI Emerging Index Fun), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
031.3806   0 
1-5.84638 -6.82106 (1*2π)/728728 weeks
2-3.18216 -4.03751 (2*2π)/728364 weeks
3.57588 -4.28862 (3*2π)/728243 weeks
4.49035 1.30263 (4*2π)/728182 weeks
5-.80903 -3.01625 (5*2π)/728146 weeks
62.11184 -.79305 (6*2π)/728121 weeks
7-.42007 -.61725 (7*2π)/728104 weeks
8-.53235 -2.73969 (8*2π)/72891 weeks
9.45743 -.096 (9*2π)/72881 weeks
10-.78953 -1.72828 (10*2π)/72873 weeks
11.31814 -.47098 (11*2π)/72866 weeks
12-1.11942 -.86392 (12*2π)/72861 weeks
13-.14853 -.73835 (13*2π)/72856 weeks
14.24393 -.45907 (14*2π)/72852 weeks
15-.12546 -.74857 (15*2π)/72849 weeks
16.69687 -.14805 (16*2π)/72846 weeks
17-.10167 -.72389 (17*2π)/72843 weeks
18-.41162 -1.0358 (18*2π)/72840 weeks
19.31442 .34599 (19*2π)/72838 weeks
20-.20178 -.33491 (20*2π)/72836 weeks
21.17418 -.33308 (21*2π)/72835 weeks
22.21937 -.54515 (22*2π)/72833 weeks
23-.4193 -.64096 (23*2π)/72832 weeks
24.44396 -.32763 (24*2π)/72830 weeks
25-.11247 -.32338 (25*2π)/72829 weeks
26-.3349 -.45681 (26*2π)/72828 weeks
27.05174 -.33783 (27*2π)/72827 weeks
28.17155 -.15405 (28*2π)/72826 weeks
29-.04107 -.49592 (29*2π)/72825 weeks
30.32801 -.39486 (30*2π)/72824 weeks
31.07465 -.47493 (31*2π)/72823 weeks
32-.1149 -.33824 (32*2π)/72823 weeks
33-.07451 -.59369 (33*2π)/72822 weeks
34-.01374 -.4406 (34*2π)/72821 weeks
35-.56039 -.14478 (35*2π)/72821 weeks
36.07437 -.34886 (36*2π)/72820 weeks
37.01998 -.12603 (37*2π)/72820 weeks
38-.21592 -.12118 (38*2π)/72819 weeks
39.07798 -.16642 (39*2π)/72819 weeks
40-.12489 -.25443 (40*2π)/72818 weeks
41.02198 -.32427 (41*2π)/72818 weeks
42.12604 -.08613 (42*2π)/72817 weeks
43-.24051 -.3497 (43*2π)/72817 weeks
44.23563 -.30016 (44*2π)/72817 weeks
45-.40056 -.30436 (45*2π)/72816 weeks
46.12804 -.25816 (46*2π)/72816 weeks
47.01149 -.02665 (47*2π)/72815 weeks
48-.3624 -.20591 (48*2π)/72815 weeks
49-.01476 -.24194 (49*2π)/72815 weeks
50.0149 -.22821 (50*2π)/72815 weeks
51-.16666 -.12177 (51*2π)/72814 weeks
52.08656 -.25093 (52*2π)/72814 weeks
53-.22827 -.06882 (53*2π)/72814 weeks
54.10162 -.24138 (54*2π)/72813 weeks
55-.24546 -.20332 (55*2π)/72813 weeks
56.10099 .00547 (56*2π)/72813 weeks
57-.05174 -.15366 (57*2π)/72813 weeks
58-.01192 -.17898 (58*2π)/72813 weeks
59.14625 -.2765 (59*2π)/72812 weeks
60.0773 -.10429 (60*2π)/72812 weeks
61-.21119 -.16238 (61*2π)/72812 weeks
62-.1002 -.20434 (62*2π)/72812 weeks
63-.13676 -.04502 (63*2π)/72812 weeks
64-.05823 .01284 (64*2π)/72811 weeks
65.08732 -.16495 (65*2π)/72811 weeks
66.02672 -.28899 (66*2π)/72811 weeks
67-.14456 -.08018 (67*2π)/72811 weeks
68-.00085 -.31383 (68*2π)/72811 weeks
69.04438 -.16335 (69*2π)/72811 weeks
70-.08964 -.0319 (70*2π)/72810 weeks
71-.09054 -.13198 (71*2π)/72810 weeks
72.02508 -.19159 (72*2π)/72810 weeks
73-.04512 -.14818 (73*2π)/72810 weeks
74-.15588 -.18472 (74*2π)/72810 weeks
75.0474 .023 (75*2π)/72810 weeks
76-.05234 -.10347 (76*2π)/72810 weeks
77-.02359 -.19199 (77*2π)/7289 weeks
78-.07884 -.05676 (78*2π)/7289 weeks
79-.09617 -.14764 (79*2π)/7289 weeks
80.07863 -.11574 (80*2π)/7289 weeks
81-.12636 -.1157 (81*2π)/7289 weeks
82.00224 -.05388 (82*2π)/7289 weeks
83-.03264 -.12655 (83*2π)/7289 weeks
84-.04668 -.06515 (84*2π)/7289 weeks
85-.02792 -.04738 (85*2π)/7289 weeks
86-.02767 -.13004 (86*2π)/7288 weeks
87.06075 -.01866 (87*2π)/7288 weeks
88-.00485 -.13264 (88*2π)/7288 weeks
89-.08723 -.1303 (89*2π)/7288 weeks
90-.03117 -.06657 (90*2π)/7288 weeks
91-.03332 -.20697 (91*2π)/7288 weeks
92-.06204 -.02579 (92*2π)/7288 weeks
93.04662 -.0402 (93*2π)/7288 weeks
94-.16907 -.1295 (94*2π)/7288 weeks
95.03834 -.2559 (95*2π)/7288 weeks
96-.01602 -.03655 (96*2π)/7288 weeks
97-.13758 -.1726 (97*2π)/7288 weeks
98.13492 -.04071 (98*2π)/7287 weeks
99-.0894 -.10494 (99*2π)/7287 weeks
100.00237 -.08446 (100*2π)/7287 weeks
101-.08872 -.1619 (101*2π)/7287 weeks
102-.10759 -.0011 (102*2π)/7287 weeks
103.08937 -.1566 (103*2π)/7287 weeks
104-.18575 -.04501 (104*2π)/7287 weeks
105.05891 -.12495 (105*2π)/7287 weeks
106-.0689 -.08083 (106*2π)/7287 weeks
107-.12812 -.05498 (107*2π)/7287 weeks
108.08543 -.16666 (108*2π)/7287 weeks
109-.13419 -.16596 (109*2π)/7287 weeks
110-.0305 -.02441 (110*2π)/7287 weeks
111-.0731 -.12413 (111*2π)/7287 weeks
112-.07294 -.07951 (112*2π)/7287 weeks
113.07722 -.05649 (113*2π)/7286 weeks
114-.08528 -.10566 (114*2π)/7286 weeks
115-.02769 -.09565 (115*2π)/7286 weeks
116-.04449 .05652 (116*2π)/7286 weeks
117-.09363 -.06222 (117*2π)/7286 weeks
118.06431 -.02852 (118*2π)/7286 weeks
119-.11721 -.0394 (119*2π)/7286 weeks
120.02294 -.1082 (120*2π)/7286 weeks
121-.01741 -.04551 (121*2π)/7286 weeks
122-.0445 -.15609 (122*2π)/7286 weeks
123-.03175 -.07203 (123*2π)/7286 weeks
124-.07124 -.10314 (124*2π)/7286 weeks
125-.04159 -.0129 (125*2π)/7286 weeks
126.02981 -.10252 (126*2π)/7286 weeks
127-.09637 -.09649 (127*2π)/7286 weeks
128-.07658 -.0884 (128*2π)/7286 weeks
129-.05405 .02331 (129*2π)/7286 weeks
130-.08214 -.05727 (130*2π)/7286 weeks
131-.0035 -.04158 (131*2π)/7286 weeks
132-.02559 -.0086 (132*2π)/7286 weeks
133.00452 -.0315 (133*2π)/7285 weeks
134.00677 -.08481 (134*2π)/7285 weeks
135.03938 -.10912 (135*2π)/7285 weeks
136-.00429 -.10325 (136*2π)/7285 weeks
137-.09197 -.1299 (137*2π)/7285 weeks
138-.024 -.13433 (138*2π)/7285 weeks
139-.07517 -.05145 (139*2π)/7285 weeks
140-.11705 -.10881 (140*2π)/7285 weeks
141-.00595 -.04967 (141*2π)/7285 weeks
142-.03463 .00253 (142*2π)/7285 weeks
143-.0565 -.12209 (143*2π)/7285 weeks
144.00991 -.02628 (144*2π)/7285 weeks
145-.06754 -.07079 (145*2π)/7285 weeks
146-.01521 -.12332 (146*2π)/7285 weeks
147-.1014 -.11774 (147*2π)/7285 weeks
148-.0048 -.0938 (148*2π)/7285 weeks
149-.09415 -.01754 (149*2π)/7285 weeks
150-.09325 -.03296 (150*2π)/7285 weeks
151.00897 -.11319 (151*2π)/7285 weeks
152-.12108 .00871 (152*2π)/7285 weeks
153-.00035 -.05655 (153*2π)/7285 weeks
154-.01823 -.00397 (154*2π)/7285 weeks
155-.05746 -.08926 (155*2π)/7285 weeks
156-.02004 -.11887 (156*2π)/7285 weeks
157-.01914 -.00075 (157*2π)/7285 weeks
158-.08846 -.07367 (158*2π)/7285 weeks
159-.07133 -.06278 (159*2π)/7285 weeks
160-.08126 -.05479 (160*2π)/7285 weeks
161-.01774 -.06279 (161*2π)/7285 weeks
162-.0947 -.01104 (162*2π)/7284 weeks
163-.02837 -.10934 (163*2π)/7284 weeks
164-.07532 .03519 (164*2π)/7284 weeks
165-.01124 -.02945 (165*2π)/7284 weeks
166.01282 -.05893 (166*2π)/7284 weeks
167-.10398 -.01031 (167*2π)/7284 weeks
168-.01074 -.11608 (168*2π)/7284 weeks
169-.06949 -.09646 (169*2π)/7284 weeks
170-.00453 -.03382 (170*2π)/7284 weeks
171-.06227 -.07336 (171*2π)/7284 weeks
172.01193 -.00942 (172*2π)/7284 weeks
173-.07464 -.09622 (173*2π)/7284 weeks
174-.03051 -.07951 (174*2π)/7284 weeks
175-.00965 -.06285 (175*2π)/7284 weeks
176-.10345 .03168 (176*2π)/7284 weeks
177-.06779 -.06196 (177*2π)/7284 weeks
178.03695 -.00685 (178*2π)/7284 weeks
179-.02588 -.03018 (179*2π)/7284 weeks
180-.04742 -.11857 (180*2π)/7284 weeks
181-.0398 .00008 (181*2π)/7284 weeks
182-.06328 -.11683 (182*2π)/7284 weeks
183-.09448 .03332 (183*2π)/7284 weeks
184-.0412 -.08849 (184*2π)/7284 weeks
185-.04205 -.0005 (185*2π)/7284 weeks
186-.06146 -.06135 (186*2π)/7284 weeks
187-.01068 -.05908 (187*2π)/7284 weeks
188-.07863 -.00028 (188*2π)/7284 weeks
189.00809 -.03683 (189*2π)/7284 weeks
190-.07948 -.06522 (190*2π)/7284 weeks
191.00957 -.05561 (191*2π)/7284 weeks
192-.03819 -.07154 (192*2π)/7284 weeks
193-.05559 -.02103 (193*2π)/7284 weeks
194-.06691 -.04598 (194*2π)/7284 weeks
195-.08608 -.07812 (195*2π)/7284 weeks
196-.00749 .00665 (196*2π)/7284 weeks
197-.02602 -.07016 (197*2π)/7284 weeks
198-.03893 -.05028 (198*2π)/7284 weeks
199-.02306 -.02649 (199*2π)/7284 weeks
200.00084 -.08211 (200*2π)/7284 weeks
201-.04161 .01037 (201*2π)/7284 weeks
202-.05817 -.05879 (202*2π)/7284 weeks
203-.07896 -.07343 (203*2π)/7284 weeks
204-.02009 -.05872 (204*2π)/7284 weeks
205-.03149 -.06007 (205*2π)/7284 weeks
206-.05669 -.03651 (206*2π)/7284 weeks
207-.06831 -.00416 (207*2π)/7284 weeks
208-.06012 -.02873 (208*2π)/7284 weeks
209-.01389 .00957 (209*2π)/7283 weeks
210-.04917 -.12822 (210*2π)/7283 weeks
211-.05884 .0269 (211*2π)/7283 weeks
212-.04826 -.04846 (212*2π)/7283 weeks
213-.09908 -.045 (213*2π)/7283 weeks
214-.01575 -.05603 (214*2π)/7283 weeks
215-.09593 -.00687 (215*2π)/7283 weeks
216-.04061 -.0419 (216*2π)/7283 weeks
217-.07352 .01031 (217*2π)/7283 weeks
218-.02323 -.03784 (218*2π)/7283 weeks
219-.03671 -.00705 (219*2π)/7283 weeks
220-.07576 -.05708 (220*2π)/7283 weeks
221.01251 -.01549 (221*2π)/7283 weeks
222-.08874 .0066 (222*2π)/7283 weeks
223-.03205 -.04089 (223*2π)/7283 weeks
224-.01038 -.05588 (224*2π)/7283 weeks
225-.0645 -.01912 (225*2π)/7283 weeks
226-.03657 -.02214 (226*2π)/7283 weeks
227-.02477 -.00006 (227*2π)/7283 weeks
228-.03833 -.06735 (228*2π)/7283 weeks
229-.0654 -.03722 (229*2π)/7283 weeks
230-.0541 -.05069 (230*2π)/7283 weeks
231-.0249 -.04174 (231*2π)/7283 weeks
232-.09409 -.0068 (232*2π)/7283 weeks
233-.04411 -.04703 (233*2π)/7283 weeks
234.00844 -.01216 (234*2π)/7283 weeks
235-.08757 .00766 (235*2π)/7283 weeks
236-.01413 -.05129 (236*2π)/7283 weeks
237-.04741 .00366 (237*2π)/7283 weeks
238-.04547 -.03352 (238*2π)/7283 weeks
239-.00278 -.02828 (239*2π)/7283 weeks
240-.03059 -.01436 (240*2π)/7283 weeks
241-.02076 -.04468 (241*2π)/7283 weeks
242-.06917 -.00749 (242*2π)/7283 weeks
243-.09214 -.01277 (243*2π)/7283 weeks
244-.00497 -.02074 (244*2π)/7283 weeks
245-.05804 -.01645 (245*2π)/7283 weeks
246-.04052 -.07265 (246*2π)/7283 weeks
247.02448 -.00271 (247*2π)/7283 weeks
248-.07419 -.02027 (248*2π)/7283 weeks
249-.04419 -.0513 (249*2π)/7283 weeks
250-.02271 -.07332 (250*2π)/7283 weeks
251-.0723 .01085 (251*2π)/7283 weeks
252-.06425 -.008 (252*2π)/7283 weeks
253-.02966 -.00344 (253*2π)/7283 weeks
254-.03843 -.0024 (254*2π)/7283 weeks
255-.02882 -.07801 (255*2π)/7283 weeks
256-.01991 -.05363 (256*2π)/7283 weeks
257-.05489 .05341 (257*2π)/7283 weeks
258-.12693 -.09242 (258*2π)/7283 weeks
259-.01098 .05745 (259*2π)/7283 weeks
260-.05686 .0188 (260*2π)/7283 weeks
261-.02194 -.04533 (261*2π)/7283 weeks
262-.0224 .01915 (262*2π)/7283 weeks
263-.06056 -.0212 (263*2π)/7283 weeks
264-.05982 -.03854 (264*2π)/7283 weeks
265.03456 -.0219 (265*2π)/7283 weeks
266-.09413 -.01408 (266*2π)/7283 weeks
267-.07142 -.00239 (267*2π)/7283 weeks
268.01026 -.07558 (268*2π)/7283 weeks
269-.0797 .03456 (269*2π)/7283 weeks
270-.02959 -.01808 (270*2π)/7283 weeks
271-.04299 -.062 (271*2π)/7283 weeks
272-.01105 .04702 (272*2π)/7283 weeks
273-.07861 -.03199 (273*2π)/7283 weeks
274.00814 -.01842 (274*2π)/7283 weeks
275-.07722 .00243 (275*2π)/7283 weeks
276-.03461 -.07139 (276*2π)/7283 weeks
277-.02668 .01832 (277*2π)/7283 weeks
278-.03062 -.00779 (278*2π)/7283 weeks
279-.06699 -.02228 (279*2π)/7283 weeks
280-.06062 -.00722 (280*2π)/7283 weeks
281-.05146 .00982 (281*2π)/7283 weeks
282-.02034 .0032 (282*2π)/7283 weeks
283-.0128 -.0948 (283*2π)/7283 weeks
284-.10191 -.00084 (284*2π)/7283 weeks
285-.08957 -.01716 (285*2π)/7283 weeks
286.00901 -.02972 (286*2π)/7283 weeks
287-.07492 .0304 (287*2π)/7283 weeks
288.00539 -.01381 (288*2π)/7283 weeks
289-.05275 -.02477 (289*2π)/7283 weeks
290-.02139 -.0689 (290*2π)/7283 weeks
291-.05965 -.02086 (291*2π)/7283 weeks
292-.01719 .00469 (292*2π)/7282 weeks
293-.0916 .01912 (293*2π)/7282 weeks
294-.02732 -.02637 (294*2π)/7282 weeks
295-.04232 -.00061 (295*2π)/7282 weeks
296-.04262 .02203 (296*2π)/7282 weeks
297-.04466 -.06263 (297*2π)/7282 weeks
298-.03878 .02263 (298*2π)/7282 weeks
299-.06879 -.00381 (299*2π)/7282 weeks
300-.05193 -.03713 (300*2π)/7282 weeks
301-.01513 -.04727 (301*2π)/7282 weeks
302.01303 -.01296 (302*2π)/7282 weeks
303-.11105 -.00972 (303*2π)/7282 weeks
304-.05775 -.03969 (304*2π)/7282 weeks
305-.04532 .00514 (305*2π)/7282 weeks
306-.04703 .01927 (306*2π)/7282 weeks
307-.03794 .02567 (307*2π)/7282 weeks
308-.04252 .01434 (308*2π)/7282 weeks
309-.04959 -.01028 (309*2π)/7282 weeks
310-.06284 -.0222 (310*2π)/7282 weeks
311-.05168 -.01075 (311*2π)/7282 weeks
312-.01176 -.01344 (312*2π)/7282 weeks
313-.05538 .02613 (313*2π)/7282 weeks
314-.06241 -.01346 (314*2π)/7282 weeks
315-.01593 .00481 (315*2π)/7282 weeks
316-.05047 .02404 (316*2π)/7282 weeks
317.01903 -.01643 (317*2π)/7282 weeks
318-.03486 -.00889 (318*2π)/7282 weeks
319-.01574 .01051 (319*2π)/7282 weeks
320-.00059 -.0383 (320*2π)/7282 weeks
321-.0737 -.02742 (321*2π)/7282 weeks
322-.02121 .01246 (322*2π)/7282 weeks
323-.07089 -.02432 (323*2π)/7282 weeks
324-.03619 .01243 (324*2π)/7282 weeks
325-.01778 -.02433 (325*2π)/7282 weeks
326-.04074 -.02102 (326*2π)/7282 weeks
327.02977 -.04695 (327*2π)/7282 weeks
328-.08646 .00209 (328*2π)/7282 weeks
329-.07312 -.04313 (329*2π)/7282 weeks
330-.00064 .02002 (330*2π)/7282 weeks
331-.07856 .00225 (331*2π)/7282 weeks
332-.02416 -.03001 (332*2π)/7282 weeks
333-.06286 .02351 (333*2π)/7282 weeks
334-.0719 -.01085 (334*2π)/7282 weeks
335.01825 .02616 (335*2π)/7282 weeks
336-.03406 .02312 (336*2π)/7282 weeks
337-.04891 .00362 (337*2π)/7282 weeks
338.00743 -.03715 (338*2π)/7282 weeks
339-.08503 -.00983 (339*2π)/7282 weeks
340.01959 -.04224 (340*2π)/7282 weeks
341-.08458 .01021 (341*2π)/7282 weeks
342-.04555 -.01563 (342*2π)/7282 weeks
343-.03521 -.04109 (343*2π)/7282 weeks
344-.06436 .02588 (344*2π)/7282 weeks
345-.03991 -.01082 (345*2π)/7282 weeks
346-.08148 .03942 (346*2π)/7282 weeks
347-.04661 -.02924 (347*2π)/7282 weeks
348-.02888 .05851 (348*2π)/7282 weeks
349.00513 .01399 (349*2π)/7282 weeks
350-.05556 .02033 (350*2π)/7282 weeks
351-.04692 -.03953 (351*2π)/7282 weeks
352.0223 -.01535 (352*2π)/7282 weeks
353-.02158 -.04402 (353*2π)/7282 weeks
354-.11863 -.01327 (354*2π)/7282 weeks
355-.00454 -.01117 (355*2π)/7282 weeks
356-.11031 .02514 (356*2π)/7282 weeks
357-.01803 -.01491 (357*2π)/7282 weeks
358-.05869 .01488 (358*2π)/7282 weeks
359-.02643 .00224 (359*2π)/7282 weeks
360.00386 -.01354 (360*2π)/7282 weeks
361-.0438 -.04126 (361*2π)/7282 weeks
362-.05238 -.01393 (362*2π)/7282 weeks
363-.0098 .03644 (363*2π)/7282 weeks
364-.12073   (364*2π)/7282 weeks
365-.0098 -.03644 (365*2π)/7282 weeks
366-.05238 .01393 (366*2π)/7282 weeks
367-.0438 .04126 (367*2π)/7282 weeks
368.00386 .01354 (368*2π)/7282 weeks
369-.02643 -.00224 (369*2π)/7282 weeks
370-.05869 -.01488 (370*2π)/7282 weeks
371-.01803 .01491 (371*2π)/7282 weeks
372-.11031 -.02514 (372*2π)/7282 weeks
373-.00454 .01117 (373*2π)/7282 weeks
374-.11863 .01327 (374*2π)/7282 weeks
375-.02158 .04402 (375*2π)/7282 weeks
376.0223 .01535 (376*2π)/7282 weeks
377-.04692 .03953 (377*2π)/7282 weeks
378-.05556 -.02033 (378*2π)/7282 weeks
379.00513 -.01399 (379*2π)/7282 weeks
380-.02888 -.05851 (380*2π)/7282 weeks
381-.04661 .02924 (381*2π)/7282 weeks
382-.08148 -.03942 (382*2π)/7282 weeks
383-.03991 .01082 (383*2π)/7282 weeks
384-.06436 -.02588 (384*2π)/7282 weeks
385-.03521 .04109 (385*2π)/7282 weeks
386-.04555 .01563 (386*2π)/7282 weeks
387-.08458 -.01021 (387*2π)/7282 weeks
388.01959 .04224 (388*2π)/7282 weeks
389-.08503 .00983 (389*2π)/7282 weeks
390.00743 .03715 (390*2π)/7282 weeks
391-.04891 -.00362 (391*2π)/7282 weeks
392-.03406 -.02312 (392*2π)/7282 weeks
393.01825 -.02616 (393*2π)/7282 weeks
394-.0719 .01085 (394*2π)/7282 weeks
395-.06286 -.02351 (395*2π)/7282 weeks
396-.02416 .03001 (396*2π)/7282 weeks
397-.07856 -.00225 (397*2π)/7282 weeks
398-.00064 -.02002 (398*2π)/7282 weeks
399-.07312 .04313 (399*2π)/7282 weeks
400-.08646 -.00209 (400*2π)/7282 weeks
401.02977 .04695 (401*2π)/7282 weeks
402-.04074 .02102 (402*2π)/7282 weeks
403-.01778 .02433 (403*2π)/7282 weeks
404-.03619 -.01243 (404*2π)/7282 weeks
405-.07089 .02432 (405*2π)/7282 weeks
406-.02121 -.01246 (406*2π)/7282 weeks
407-.0737 .02742 (407*2π)/7282 weeks
408-.00059 .0383 (408*2π)/7282 weeks
409-.01574 -.01051 (409*2π)/7282 weeks
410-.03486 .00889 (410*2π)/7282 weeks
411.01903 .01643 (411*2π)/7282 weeks
412-.05047 -.02404 (412*2π)/7282 weeks
413-.01593 -.00481 (413*2π)/7282 weeks
414-.06241 .01346 (414*2π)/7282 weeks
415-.05538 -.02613 (415*2π)/7282 weeks
416-.01176 .01344 (416*2π)/7282 weeks
417-.05168 .01075 (417*2π)/7282 weeks
418-.06284 .0222 (418*2π)/7282 weeks
419-.04959 .01028 (419*2π)/7282 weeks
420-.04252 -.01434 (420*2π)/7282 weeks
421-.03794 -.02567 (421*2π)/7282 weeks
422-.04703 -.01927 (422*2π)/7282 weeks
423-.04532 -.00514 (423*2π)/7282 weeks
424-.05775 .03969 (424*2π)/7282 weeks
425-.11105 .00972 (425*2π)/7282 weeks
426.01303 .01296 (426*2π)/7282 weeks
427-.01513 .04727 (427*2π)/7282 weeks
428-.05193 .03713 (428*2π)/7282 weeks
429-.06879 .00381 (429*2π)/7282 weeks
430-.03878 -.02263 (430*2π)/7282 weeks
431-.04466 .06263 (431*2π)/7282 weeks
432-.04262 -.02203 (432*2π)/7282 weeks
433-.04232 .00061 (433*2π)/7282 weeks
434-.02732 .02637 (434*2π)/7282 weeks
435-.0916 -.01912 (435*2π)/7282 weeks
436-.01719 -.00469 (436*2π)/7282 weeks
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