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Fourier Analysis of EMIF (iShares Emerging Markets Infrastructure ETF)


EMIF (iShares Emerging Markets Infrastructure ETF) appears to have interesting cyclic behaviour every 39 weeks (.8132*sine), 35 weeks (.6917*sine), and 42 weeks (.6426*cosine).

EMIF (iShares Emerging Markets Infrastructure ETF) has an average price of 28.56 (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 6/19/2009 to 7/24/2017 for EMIF (iShares Emerging Markets Infrastructure ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
028.56394   0 
1-2.08353 -1.81387 (1*2π)/424424 weeks
2.0031 .0947 (2*2π)/424212 weeks
3.18569 -1.04903 (3*2π)/424141 weeks
4.02813 -1.96121 (4*2π)/424106 weeks
5.14397 -.20541 (5*2π)/42485 weeks
6-.20782 .0985 (6*2π)/42471 weeks
7-.16996 .0874 (7*2π)/42461 weeks
8.31568 -1.17449 (8*2π)/42453 weeks
9.27818 -.80169 (9*2π)/42447 weeks
10-.64259 -.12017 (10*2π)/42442 weeks
11.22032 -.81323 (11*2π)/42439 weeks
12-.17505 -.69172 (12*2π)/42435 weeks
13.11835 .16692 (13*2π)/42433 weeks
14-.43103 -.08068 (14*2π)/42430 weeks
15.1037 -.35544 (15*2π)/42428 weeks
16-.33537 -.18637 (16*2π)/42427 weeks
17-.11916 -.04862 (17*2π)/42425 weeks
18.27979 -.00053 (18*2π)/42424 weeks
19.16551 -.2837 (19*2π)/42422 weeks
20.00529 -.65951 (20*2π)/42421 weeks
21-.073 -.06756 (21*2π)/42420 weeks
22-.1182 -.05845 (22*2π)/42419 weeks
23.05644 -.1807 (23*2π)/42418 weeks
24.02443 -.02665 (24*2π)/42418 weeks
25-.02623 -.17288 (25*2π)/42417 weeks
26-.22998 -.3553 (26*2π)/42416 weeks
27.01642 -.17628 (27*2π)/42416 weeks
28-.10317 -.07311 (28*2π)/42415 weeks
29.00319 -.24829 (29*2π)/42415 weeks
30.00049 -.27159 (30*2π)/42414 weeks
31.12804 -.17111 (31*2π)/42414 weeks
32.07931 .13621 (32*2π)/42413 weeks
33-.1362 -.28994 (33*2π)/42413 weeks
34-.12497 -.17784 (34*2π)/42412 weeks
35-.14759 -.05729 (35*2π)/42412 weeks
36.0537 -.15708 (36*2π)/42412 weeks
37-.06775 -.30695 (37*2π)/42411 weeks
38-.18969 .02643 (38*2π)/42411 weeks
39.01309 -.1678 (39*2π)/42411 weeks
40.04888 -.15655 (40*2π)/42411 weeks
41-.03552 -.15192 (41*2π)/42410 weeks
42.04563 -.09761 (42*2π)/42410 weeks
43-.08092 -.23362 (43*2π)/42410 weeks
44-.02669 -.03883 (44*2π)/42410 weeks
45-.00022 -.15757 (45*2π)/4249 weeks
46-.04742 -.06732 (46*2π)/4249 weeks
47-.05591 -.17404 (47*2π)/4249 weeks
48.00355 -.08698 (48*2π)/4249 weeks
49-.03665 -.01661 (49*2π)/4249 weeks
50-.04216 -.1051 (50*2π)/4248 weeks
51.04349 -.22291 (51*2π)/4248 weeks
52.00011 -.02501 (52*2π)/4248 weeks
53-.08353 -.14535 (53*2π)/4248 weeks
54-.0293 -.2111 (54*2π)/4248 weeks
55-.0252 -.15745 (55*2π)/4248 weeks
56-.01765 -.0535 (56*2π)/4248 weeks
57-.03079 -.17329 (57*2π)/4247 weeks
58.02165 -.07663 (58*2π)/4247 weeks
59.0784 -.02329 (59*2π)/4247 weeks
60-.06698 .04642 (60*2π)/4247 weeks
61-.09722 -.09669 (61*2π)/4247 weeks
62-.00741 -.15816 (62*2π)/4247 weeks
63-.00656 .0308 (63*2π)/4247 weeks
64-.07088 -.1103 (64*2π)/4247 weeks
65-.08742 -.17381 (65*2π)/4247 weeks
66.0271 -.03602 (66*2π)/4246 weeks
67-.03848 -.1056 (67*2π)/4246 weeks
68-.04138 -.05558 (68*2π)/4246 weeks
69.00799 -.0545 (69*2π)/4246 weeks
70.02351 -.05095 (70*2π)/4246 weeks
71.01748 -.09278 (71*2π)/4246 weeks
72-.01147 -.04636 (72*2π)/4246 weeks
73.05489 -.05029 (73*2π)/4246 weeks
74-.07797 -.04541 (74*2π)/4246 weeks
75-.02215 -.01288 (75*2π)/4246 weeks
76-.00291 -.07673 (76*2π)/4246 weeks
77-.00741 -.05695 (77*2π)/4246 weeks
78-.09903 -.0979 (78*2π)/4245 weeks
79-.11573 -.03008 (79*2π)/4245 weeks
80-.05577 .00625 (80*2π)/4245 weeks
81.00701 -.00676 (81*2π)/4245 weeks
82-.01252 -.0666 (82*2π)/4245 weeks
83-.06109 -.02457 (83*2π)/4245 weeks
84-.08903 -.04503 (84*2π)/4245 weeks
85-.02428 -.00527 (85*2π)/4245 weeks
86-.00188 -.04145 (86*2π)/4245 weeks
87-.01589 -.12245 (87*2π)/4245 weeks
88-.02126 -.08042 (88*2π)/4245 weeks
89-.10503 .02468 (89*2π)/4245 weeks
90-.03289 .03074 (90*2π)/4245 weeks
91-.05185 -.06146 (91*2π)/4245 weeks
92-.05131 -.07037 (92*2π)/4245 weeks
93-.07816 -.04258 (93*2π)/4245 weeks
94-.03653 -.04428 (94*2π)/4245 weeks
95-.0708 -.06544 (95*2π)/4244 weeks
96.05273 -.02084 (96*2π)/4244 weeks
97-.03008 -.04506 (97*2π)/4244 weeks
98-.0679 -.10353 (98*2π)/4244 weeks
99.01083 -.02764 (99*2π)/4244 weeks
100.00949 -.04481 (100*2π)/4244 weeks
101-.0219 .00179 (101*2π)/4244 weeks
102-.05321 .02817 (102*2π)/4244 weeks
103.00159 -.02984 (103*2π)/4244 weeks
104-.01947 -.07624 (104*2π)/4244 weeks
105-.00646 .03428 (105*2π)/4244 weeks
106-.00248 .02038 (106*2π)/4244 weeks
107-.04521 -.03706 (107*2π)/4244 weeks
108-.07621 -.02894 (108*2π)/4244 weeks
109-.03075 -.01405 (109*2π)/4244 weeks
110-.08814 -.00415 (110*2π)/4244 weeks
111-.05591 -.00643 (111*2π)/4244 weeks
112-.01665 -.03772 (112*2π)/4244 weeks
113-.04444 -.03558 (113*2π)/4244 weeks
114-.07806 -.00572 (114*2π)/4244 weeks
115-.03037 -.06554 (115*2π)/4244 weeks
116-.02474 -.00358 (116*2π)/4244 weeks
117-.03205 -.00271 (117*2π)/4244 weeks
118-.03463 -.0568 (118*2π)/4244 weeks
119-.04636 -.03531 (119*2π)/4244 weeks
120-.09602 -.03933 (120*2π)/4244 weeks
121-.04751 -.0221 (121*2π)/4244 weeks
122-.05239 -.07969 (122*2π)/4243 weeks
123.02612 -.01331 (123*2π)/4243 weeks
124-.01778 .02571 (124*2π)/4243 weeks
125-.01857 .04919 (125*2π)/4243 weeks
126-.03144 .01891 (126*2π)/4243 weeks
127-.03237 -.0225 (127*2π)/4243 weeks
128-.02854 -.00765 (128*2π)/4243 weeks
129-.05735 -.0088 (129*2π)/4243 weeks
130-.08879 -.02068 (130*2π)/4243 weeks
131-.02667 -.03124 (131*2π)/4243 weeks
132-.06115 .00416 (132*2π)/4243 weeks
133-.01445 .00218 (133*2π)/4243 weeks
134-.03774 -.02501 (134*2π)/4243 weeks
135-.02169 -.03297 (135*2π)/4243 weeks
136-.03136 -.01069 (136*2π)/4243 weeks
137-.05032 -.01528 (137*2π)/4243 weeks
138-.03636 -.0098 (138*2π)/4243 weeks
139-.03161 -.00631 (139*2π)/4243 weeks
140-.01215 -.02934 (140*2π)/4243 weeks
141-.0444 -.04768 (141*2π)/4243 weeks
142.00264 .00444 (142*2π)/4243 weeks
143-.03219 -.03613 (143*2π)/4243 weeks
144-.03737 -.02225 (144*2π)/4243 weeks
145-.02066 -.05144 (145*2π)/4243 weeks
146-.07039 .05053 (146*2π)/4243 weeks
147-.01314 .01671 (147*2π)/4243 weeks
148-.05982 -.03891 (148*2π)/4243 weeks
149-.06311 .04248 (149*2π)/4243 weeks
150-.04397 .02894 (150*2π)/4243 weeks
151.01734 -.07421 (151*2π)/4243 weeks
152-.04912 -.03086 (152*2π)/4243 weeks
153-.05717 -.01963 (153*2π)/4243 weeks
154-.04562 -.04045 (154*2π)/4243 weeks
155-.00473 -.0413 (155*2π)/4243 weeks
156-.0542 .02265 (156*2π)/4243 weeks
157-.05826 -.03397 (157*2π)/4243 weeks
158-.06126 -.05933 (158*2π)/4243 weeks
159-.03498 -.00924 (159*2π)/4243 weeks
160-.03202 -.01679 (160*2π)/4243 weeks
161-.02332 -.02045 (161*2π)/4243 weeks
162.00113 -.00821 (162*2π)/4243 weeks
163-.05817 -.00544 (163*2π)/4243 weeks
164-.02317 .01838 (164*2π)/4243 weeks
165-.03992 -.09116 (165*2π)/4243 weeks
166-.05641 .03113 (166*2π)/4243 weeks
167-.05549 .01199 (167*2π)/4243 weeks
168-.03918 -.05544 (168*2π)/4243 weeks
169-.04734 -.04721 (169*2π)/4243 weeks
170-.03926 -.00248 (170*2π)/4242 weeks
171.02304 -.0181 (171*2π)/4242 weeks
172.00576 -.00073 (172*2π)/4242 weeks
173-.0379 .0015 (173*2π)/4242 weeks
174-.02221 -.01325 (174*2π)/4242 weeks
175-.03797 -.0184 (175*2π)/4242 weeks
176-.05204 .02227 (176*2π)/4242 weeks
177.00564 -.02417 (177*2π)/4242 weeks
178-.03047 -.05646 (178*2π)/4242 weeks
179-.04193 -.04384 (179*2π)/4242 weeks
180-.03329 .00356 (180*2π)/4242 weeks
181-.03594 -.02766 (181*2π)/4242 weeks
182-.03163 -.02122 (182*2π)/4242 weeks
183-.04727 -.02348 (183*2π)/4242 weeks
184-.04913 -.00834 (184*2π)/4242 weeks
185-.0055 -.0152 (185*2π)/4242 weeks
186-.00845 .01123 (186*2π)/4242 weeks
187-.04913 -.03576 (187*2π)/4242 weeks
188-.01632 -.04394 (188*2π)/4242 weeks
189.01711 -.01313 (189*2π)/4242 weeks
190.01509 -.00678 (190*2π)/4242 weeks
191-.07968 -.03184 (191*2π)/4242 weeks
192-.03317 .0156 (192*2π)/4242 weeks
193-.0472 .03266 (193*2π)/4242 weeks
194-.02639 .00698 (194*2π)/4242 weeks
195-.01073 -.02024 (195*2π)/4242 weeks
196-.02642 -.01148 (196*2π)/4242 weeks
197-.08382 .0098 (197*2π)/4242 weeks
198-.08484 -.00852 (198*2π)/4242 weeks
199-.01072 -.0345 (199*2π)/4242 weeks
200.0055 .02314 (200*2π)/4242 weeks
201-.02995 .00509 (201*2π)/4242 weeks
202-.06152 -.00143 (202*2π)/4242 weeks
203-.10279 -.00182 (203*2π)/4242 weeks
204-.05306 .01631 (204*2π)/4242 weeks
205-.06208 .0467 (205*2π)/4242 weeks
206.00769 -.0638 (206*2π)/4242 weeks
207-.00603 -.03065 (207*2π)/4242 weeks
208-.0269 .03068 (208*2π)/4242 weeks
209-.03873 .04048 (209*2π)/4242 weeks
210.01555 -.0031 (210*2π)/4242 weeks
211-.06897 .00318 (211*2π)/4242 weeks
212-.0717   (212*2π)/4242 weeks
213-.06897 -.00318 (213*2π)/4242 weeks
214.01555 .0031 (214*2π)/4242 weeks
215-.03873 -.04048 (215*2π)/4242 weeks
216-.0269 -.03068 (216*2π)/4242 weeks
217-.00603 .03065 (217*2π)/4242 weeks
218.00769 .0638 (218*2π)/4242 weeks
219-.06208 -.0467 (219*2π)/4242 weeks
220-.05306 -.01631 (220*2π)/4242 weeks
221-.10279 .00182 (221*2π)/4242 weeks
222-.06152 .00143 (222*2π)/4242 weeks
223-.02995 -.00509 (223*2π)/4242 weeks
224.0055 -.02314 (224*2π)/4242 weeks
225-.01072 .0345 (225*2π)/4242 weeks
226-.08484 .00852 (226*2π)/4242 weeks
227-.08382 -.0098 (227*2π)/4242 weeks
228-.02642 .01148 (228*2π)/4242 weeks
229-.01073 .02024 (229*2π)/4242 weeks
230-.02639 -.00698 (230*2π)/4242 weeks
231-.0472 -.03266 (231*2π)/4242 weeks
232-.03317 -.0156 (232*2π)/4242 weeks
233-.07968 .03184 (233*2π)/4242 weeks
234.01509 .00678 (234*2π)/4242 weeks
235.01711 .01313 (235*2π)/4242 weeks
236-.01632 .04394 (236*2π)/4242 weeks
237-.04913 .03576 (237*2π)/4242 weeks
238-.00845 -.01123 (238*2π)/4242 weeks
239-.0055 .0152 (239*2π)/4242 weeks
240-.04913 .00834 (240*2π)/4242 weeks
241-.04727 .02348 (241*2π)/4242 weeks
242-.03163 .02122 (242*2π)/4242 weeks
243-.03594 .02766 (243*2π)/4242 weeks
244-.03329 -.00356 (244*2π)/4242 weeks
245-.04193 .04384 (245*2π)/4242 weeks
246-.03047 .05646 (246*2π)/4242 weeks
247.00564 .02417 (247*2π)/4242 weeks
248-.05204 -.02227 (248*2π)/4242 weeks
249-.03797 .0184 (249*2π)/4242 weeks
250-.02221 .01325 (250*2π)/4242 weeks
251-.0379 -.0015 (251*2π)/4242 weeks
252.00576 .00073 (252*2π)/4242 weeks
253.02304 .0181 (253*2π)/4242 weeks
254-.03926 .00248 (254*2π)/4242 weeks
255-.04734 .04721 (255*2π)/4242 weeks
256-.03918 .05544 (256*2π)/4242 weeks
257-.05549 -.01199 (257*2π)/4242 weeks
258-.05641 -.03113 (258*2π)/4242 weeks
259-.03992 .09116 (259*2π)/4242 weeks
260-.02317 -.01838 (260*2π)/4242 weeks
261-.05817 .00544 (261*2π)/4242 weeks
262.00113 .00821 (262*2π)/4242 weeks
263-.02332 .02045 (263*2π)/4242 weeks
264-.03202 .01679 (264*2π)/4242 weeks
265-.03498 .00924 (265*2π)/4242 weeks
266-.06126 .05933 (266*2π)/4242 weeks
267-.05826 .03397 (267*2π)/4242 weeks
268-.0542 -.02265 (268*2π)/4242 weeks
269-.00473 .0413 (269*2π)/4242 weeks
270-.04562 .04045 (270*2π)/4242 weeks
271-.05717 .01963 (271*2π)/4242 weeks
272-.04912 .03086 (272*2π)/4242 weeks
273.01734 .07421 (273*2π)/4242 weeks
274-.04397 -.02894 (274*2π)/4242 weeks
275-.06311 -.04248 (275*2π)/4242 weeks
276-.05982 .03891 (276*2π)/4242 weeks
277-.01314 -.01671 (277*2π)/4242 weeks
278-.07039 -.05053 (278*2π)/4242 weeks
279-.02066 .05144 (279*2π)/4242 weeks
280-.03737 .02225 (280*2π)/4242 weeks
281-.03219 .03613 (281*2π)/4242 weeks
282.00264 -.00444 (282*2π)/4242 weeks
283-.0444 .04768 (283*2π)/4241 weeks
284-.01215 .02934 (284*2π)/4241 weeks
285-.03161 .00631 (285*2π)/4241 weeks
286-.03636 .0098 (286*2π)/4241 weeks
287-.05032 .01528 (287*2π)/4241 weeks
288-.03136 .01069 (288*2π)/4241 weeks
289-.02169 .03297 (289*2π)/4241 weeks
290-.03774 .02501 (290*2π)/4241 weeks
291-.01445 -.00218 (291*2π)/4241 weeks
292-.06115 -.00416 (292*2π)/4241 weeks
293-.02667 .03124 (293*2π)/4241 weeks
294-.08879 .02068 (294*2π)/4241 weeks
295-.05735 .0088 (295*2π)/4241 weeks
296-.02854 .00765 (296*2π)/4241 weeks
297-.03237 .0225 (297*2π)/4241 weeks
298-.03144 -.01891 (298*2π)/4241 weeks
299-.01857 -.04919 (299*2π)/4241 weeks
300-.01778 -.02571 (300*2π)/4241 weeks
301.02612 .01331 (301*2π)/4241 weeks
302-.05239 .07969 (302*2π)/4241 weeks
303-.04751 .0221 (303*2π)/4241 weeks
304-.09602 .03933 (304*2π)/4241 weeks
305-.04636 .03531 (305*2π)/4241 weeks
306-.03463 .0568 (306*2π)/4241 weeks
307-.03205 .00271 (307*2π)/4241 weeks
308-.02474 .00358 (308*2π)/4241 weeks
309-.03037 .06554 (309*2π)/4241 weeks
310-.07806 .00572 (310*2π)/4241 weeks
311-.04444 .03558 (311*2π)/4241 weeks
312-.01665 .03772 (312*2π)/4241 weeks
313-.05591 .00643 (313*2π)/4241 weeks
314-.08814 .00415 (314*2π)/4241 weeks
315-.03075 .01405 (315*2π)/4241 weeks
316-.07621 .02894 (316*2π)/4241 weeks
317-.04521 .03706 (317*2π)/4241 weeks
318-.00248 -.02038 (318*2π)/4241 weeks
319-.00646 -.03428 (319*2π)/4241 weeks
320-.01947 .07624 (320*2π)/4241 weeks
321.00159 .02984 (321*2π)/4241 weeks
322-.05321 -.02817 (322*2π)/4241 weeks
323-.0219 -.00179 (323*2π)/4241 weeks
324.00949 .04481 (324*2π)/4241 weeks
325.01083 .02764 (325*2π)/4241 weeks
326-.0679 .10353 (326*2π)/4241 weeks
327-.03008 .04506 (327*2π)/4241 weeks
328.05273 .02084 (328*2π)/4241 weeks
329-.0708 .06544 (329*2π)/4241 weeks
330-.03653 .04428 (330*2π)/4241 weeks
331-.07816 .04258 (331*2π)/4241 weeks
332-.05131 .07037 (332*2π)/4241 weeks
333-.05185 .06146 (333*2π)/4241 weeks
334-.03289 -.03074 (334*2π)/4241 weeks
335-.10503 -.02468 (335*2π)/4241 weeks
336-.02126 .08042 (336*2π)/4241 weeks
337-.01589 .12245 (337*2π)/4241 weeks
338-.00188 .04145 (338*2π)/4241 weeks
339-.02428 .00527 (339*2π)/4241 weeks
340-.08903 .04503 (340*2π)/4241 weeks
341-.06109 .02457 (341*2π)/4241 weeks
342-.01252 .0666 (342*2π)/4241 weeks
343.00701 .00676 (343*2π)/4241 weeks
344-.05577 -.00625 (344*2π)/4241 weeks
345-.11573 .03008 (345*2π)/4241 weeks
346-.09903 .0979 (346*2π)/4241 weeks
347-.00741 .05695 (347*2π)/4241 weeks
348-.00291 .07673 (348*2π)/4241 weeks
349-.02215 .01288 (349*2π)/4241 weeks
350-.07797 .04541 (350*2π)/4241 weeks
351.05489 .05029 (351*2π)/4241 weeks
352-.01147 .04636 (352*2π)/4241 weeks
353.01748 .09278 (353*2π)/4241 weeks
354.02351 .05095 (354*2π)/4241 weeks
355.00799 .0545 (355*2π)/4241 weeks
356-.04138 .05558 (356*2π)/4241 weeks
357-.03848 .1056 (357*2π)/4241 weeks
358.0271 .03602 (358*2π)/4241 weeks
359-.08742 .17381 (359*2π)/4241 weeks
360-.07088 .1103 (360*2π)/4241 weeks
361-.00656 -.0308 (361*2π)/4241 weeks
362-.00741 .15816 (362*2π)/4241 weeks
363-.09722 .09669 (363*2π)/4241 weeks
364-.06698 -.04642 (364*2π)/4241 weeks
365.0784 .02329 (365*2π)/4241 weeks
366.02165 .07663 (366*2π)/4241 weeks
367-.03079 .17329 (367*2π)/4241 weeks
368-.01765 .0535 (368*2π)/4241 weeks
369-.0252 .15745 (369*2π)/4241 weeks
370-.0293 .2111 (370*2π)/4241 weeks
371-.08353 .14535 (371*2π)/4241 weeks
372.00011 .02501 (372*2π)/4241 weeks
373.04349 .22291 (373*2π)/4241 weeks
374-.04216 .1051 (374*2π)/4241 weeks
375-.03665 .01661 (375*2π)/4241 weeks
376.00355 .08698 (376*2π)/4241 weeks
377-.05591 .17404 (377*2π)/4241 weeks
378-.04742 .06732 (378*2π)/4241 weeks
379-.00022 .15757 (379*2π)/4241 weeks
380-.02669 .03883 (380*2π)/4241 weeks
381-.08092 .23362 (381*2π)/4241 weeks
382.04563 .09761 (382*2π)/4241 weeks
383-.03552 .15192 (383*2π)/4241 weeks
384.04888 .15655 (384*2π)/4241 weeks
385.01309 .1678 (385*2π)/4241 weeks
386-.18969 -.02643 (386*2π)/4241 weeks
387-.06775 .30695 (387*2π)/4241 weeks
388.0537 .15708 (388*2π)/4241 weeks
389-.14759 .05729 (389*2π)/4241 weeks
390-.12497 .17784 (390*2π)/4241 weeks
391-.1362 .28994 (391*2π)/4241 weeks
392.07931 -.13621 (392*2π)/4241 weeks
393.12804 .17111 (393*2π)/4241 weeks
394.00049 .27159 (394*2π)/4241 weeks
395.00319 .24829 (395*2π)/4241 weeks
396-.10317 .07311 (396*2π)/4241 weeks
397.01642 .17628 (397*2π)/4241 weeks
398-.22998 .3553 (398*2π)/4241 weeks
399-.02623 .17288 (399*2π)/4241 weeks
400.02443 .02665 (400*2π)/4241 weeks
401.05644 .1807 (401*2π)/4241 weeks
402-.1182 .05845 (402*2π)/4241 weeks
403-.073 .06756 (403*2π)/4241 weeks
404.00529 .65951 (404*2π)/4241 weeks
405.16551 .2837 (405*2π)/4241 weeks
406.27979 .00053 (406*2π)/4241 weeks
407-.11916 .04862 (407*2π)/4241 weeks
408-.33537 .18637 (408*2π)/4241 weeks
409.1037 .35544 (409*2π)/4241 weeks
410-.43103 .08068 (410*2π)/4241 weeks
411.11835 -.16692 (411*2π)/4241 weeks
412-.17505 .69172 (412*2π)/4241 weeks
413.22032 .81323 (413*2π)/4241 weeks
414-.64259 .12017 (414*2π)/4241 weeks
415.27818 .80169 (415*2π)/4241 weeks
416.31568 1.17449 (416*2π)/4241 weeks
417-.16996 -.0874 (417*2π)/4241 weeks
418-.20782 -.0985 (418*2π)/4241 weeks
419.14397 .20541 (419*2π)/4241 weeks
420.02813 1.96121 (420*2π)/4241 weeks
421.18569 1.04903 (421*2π)/4241 weeks
422.0031 -.0947 (422*2π)/4241 weeks



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