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Fourier Analysis of AAXJ (iShares MSCI All Country Asia e)


AAXJ (iShares MSCI All Country Asia e) appears to have interesting cyclic behaviour every 39 weeks (1.7186*sine), 39 weeks (.9145*cosine), and 33 weeks (.7651*cosine).

AAXJ (iShares MSCI All Country Asia e) has an average price of 51.62 (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 8/15/2008 to 11/28/2016 for AAXJ (iShares MSCI All Country Asia e), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
051.62201   0 
1-4.11607 -5.5501 (1*2π)/434434 weeks
2-5.14961 -3.35336 (2*2π)/434217 weeks
3-.46675 -3.28621 (3*2π)/434145 weeks
41.41391 -1.31137 (4*2π)/434109 weeks
5.28529 -3.52365 (5*2π)/43487 weeks
61.62092 -3.13789 (6*2π)/43472 weeks
71.36591 -2.02951 (7*2π)/43462 weeks
8-.12794 -.97967 (8*2π)/43454 weeks
9.44023 -1.11291 (9*2π)/43448 weeks
10.4314 .18742 (10*2π)/43443 weeks
11.91452 -1.71861 (11*2π)/43439 weeks
12.00649 -.39592 (12*2π)/43436 weeks
13-.76509 -.07305 (13*2π)/43433 weeks
14.36146 -.71125 (14*2π)/43431 weeks
15.19233 .05239 (15*2π)/43429 weeks
16.32744 -.47349 (16*2π)/43427 weeks
17-.11973 -.66972 (17*2π)/43426 weeks
18-.2121 -.7998 (18*2π)/43424 weeks
19-.06384 -.31483 (19*2π)/43423 weeks
20-.21441 -.06349 (20*2π)/43422 weeks
21.51542 .48595 (21*2π)/43421 weeks
22.19389 -.03665 (22*2π)/43420 weeks
23.47365 .00901 (23*2π)/43419 weeks
24.2367 -.05924 (24*2π)/43418 weeks
25.45919 -.11707 (25*2π)/43417 weeks
26.29624 .09695 (26*2π)/43417 weeks
27-.4355 .14712 (27*2π)/43416 weeks
28-.05901 -.0451 (28*2π)/43416 weeks
29-.29968 .06149 (29*2π)/43415 weeks
30-.05038 -.26852 (30*2π)/43414 weeks
31.19789 .03748 (31*2π)/43414 weeks
32-.24423 .32206 (32*2π)/43414 weeks
33-.43972 -.33264 (33*2π)/43413 weeks
34.01941 .00766 (34*2π)/43413 weeks
35.01319 .18582 (35*2π)/43412 weeks
36.23036 .03534 (36*2π)/43412 weeks
37.06193 -.13558 (37*2π)/43412 weeks
38-.29303 -.36799 (38*2π)/43411 weeks
39-.28431 .1665 (39*2π)/43411 weeks
40-.03574 -.2048 (40*2π)/43411 weeks
41-.00202 .08152 (41*2π)/43411 weeks
42.06335 -.11288 (42*2π)/43410 weeks
43-.07398 .02398 (43*2π)/43410 weeks
44.09107 .13836 (44*2π)/43410 weeks
45-.04004 -.2586 (45*2π)/43410 weeks
46-.12456 -.00361 (46*2π)/4349 weeks
47-.06332 -.05646 (47*2π)/4349 weeks
48-.20042 -.1164 (48*2π)/4349 weeks
49.08374 -.13543 (49*2π)/4349 weeks
50-.0123 -.06291 (50*2π)/4349 weeks
51.07199 -.17284 (51*2π)/4349 weeks
52.19863 -.10888 (52*2π)/4348 weeks
53-.08468 -.1114 (53*2π)/4348 weeks
54.13085 -.09374 (54*2π)/4348 weeks
55-.1212 .19644 (55*2π)/4348 weeks
56-.14385 -.08788 (56*2π)/4348 weeks
57-.13481 -.15392 (57*2π)/4348 weeks
58-.23705 -.14901 (58*2π)/4347 weeks
59.01838 -.18027 (59*2π)/4347 weeks
60.16451 -.0865 (60*2π)/4347 weeks
61-.27071 -.00081 (61*2π)/4347 weeks
62-.01938 -.33588 (62*2π)/4347 weeks
63.11546 -.03901 (63*2π)/4347 weeks
64-.15965 -.17967 (64*2π)/4347 weeks
65.24548 -.08237 (65*2π)/4347 weeks
66.03049 -.03511 (66*2π)/4347 weeks
67.02346 -.28121 (67*2π)/4346 weeks
68.09679 -.02428 (68*2π)/4346 weeks
69.12518 -.1866 (69*2π)/4346 weeks
70.08747 -.1919 (70*2π)/4346 weeks
71.09731 -.00128 (71*2π)/4346 weeks
72-.00957 -.03287 (72*2π)/4346 weeks
73-.07811 .0874 (73*2π)/4346 weeks
74-.09439 .13447 (74*2π)/4346 weeks
75.01351 -.16438 (75*2π)/4346 weeks
76-.05337 .02197 (76*2π)/4346 weeks
77.03207 .03799 (77*2π)/4346 weeks
78.08949 .05391 (78*2π)/4346 weeks
79.138 .05226 (79*2π)/4345 weeks
80.08584 -.06567 (80*2π)/4345 weeks
81.10085 -.13848 (81*2π)/4345 weeks
82-.02571 -.10002 (82*2π)/4345 weeks
83-.06428 -.08552 (83*2π)/4345 weeks
84-.13546 .01212 (84*2π)/4345 weeks
85.03221 .04667 (85*2π)/4345 weeks
86-.00669 .07348 (86*2π)/4345 weeks
87.07229 .06379 (87*2π)/4345 weeks
88-.05454 -.05436 (88*2π)/4345 weeks
89-.05059 -.12169 (89*2π)/4345 weeks
90-.02451 .04507 (90*2π)/4345 weeks
91-.17981 -.03532 (91*2π)/4345 weeks
92-.11578 -.01919 (92*2π)/4345 weeks
93-.01943 .00988 (93*2π)/4345 weeks
94-.03576 .05812 (94*2π)/4345 weeks
95-.00367 .03679 (95*2π)/4345 weeks
96-.10288 -.00569 (96*2π)/4345 weeks
97-.10774 -.07634 (97*2π)/4344 weeks
98.00673 -.17246 (98*2π)/4344 weeks
99-.14263 -.07774 (99*2π)/4344 weeks
100-.05194 -.19201 (100*2π)/4344 weeks
101.01739 .01132 (101*2π)/4344 weeks
102-.05281 .00876 (102*2π)/4344 weeks
103-.1 -.10481 (103*2π)/4344 weeks
104-.03422 -.0772 (104*2π)/4344 weeks
105-.00798 .06762 (105*2π)/4344 weeks
106.04466 .0024 (106*2π)/4344 weeks
107.01208 -.09149 (107*2π)/4344 weeks
108-.00086 .01015 (108*2π)/4344 weeks
109-.2115 .06398 (109*2π)/4344 weeks
110-.15454 -.05564 (110*2π)/4344 weeks
111-.08342 -.03142 (111*2π)/4344 weeks
112-.10784 -.03173 (112*2π)/4344 weeks
113.02403 -.04601 (113*2π)/4344 weeks
114.01737 .02798 (114*2π)/4344 weeks
115-.03512 -.05951 (115*2π)/4344 weeks
116.01014 -.04811 (116*2π)/4344 weeks
117-.15118 .00303 (117*2π)/4344 weeks
118-.05719 -.03737 (118*2π)/4344 weeks
119-.08499 .05301 (119*2π)/4344 weeks
120-.106 -.04313 (120*2π)/4344 weeks
121.01106 -.0312 (121*2π)/4344 weeks
122-.07179 .00494 (122*2π)/4344 weeks
123.01469 .00799 (123*2π)/4344 weeks
124.00271 -.0468 (124*2π)/4344 weeks
125-.19533 -.00672 (125*2π)/4343 weeks
126.0068 -.09255 (126*2π)/4343 weeks
127.00276 .02618 (127*2π)/4343 weeks
128-.0511 .08287 (128*2π)/4343 weeks
129-.07442 .02181 (129*2π)/4343 weeks
130-.02742 -.0631 (130*2π)/4343 weeks
131-.08832 -.03851 (131*2π)/4343 weeks
132-.051 -.0662 (132*2π)/4343 weeks
133.03888 -.07999 (133*2π)/4343 weeks
134-.06227 -.07053 (134*2π)/4343 weeks
135-.03389 -.00408 (135*2π)/4343 weeks
136-.0406 -.10545 (136*2π)/4343 weeks
137-.0562 -.04492 (137*2π)/4343 weeks
138-.06962 -.10859 (138*2π)/4343 weeks
139-.04981 .00072 (139*2π)/4343 weeks
140-.03886 -.04405 (140*2π)/4343 weeks
141-.02571 -.05866 (141*2π)/4343 weeks
142-.04626 -.03546 (142*2π)/4343 weeks
143-.02998 -.00292 (143*2π)/4343 weeks
144.02749 -.04929 (144*2π)/4343 weeks
145-.03687 -.10111 (145*2π)/4343 weeks
146-.02608 -.03795 (146*2π)/4343 weeks
147-.05007 -.04552 (147*2π)/4343 weeks
148.04038 .00776 (148*2π)/4343 weeks
149.03561 .06687 (149*2π)/4343 weeks
150.01636 -.02826 (150*2π)/4343 weeks
151-.02462 -.07449 (151*2π)/4343 weeks
152-.06992 -.02653 (152*2π)/4343 weeks
153.0598 .03605 (153*2π)/4343 weeks
154.03394 .12045 (154*2π)/4343 weeks
155-.00017 -.03773 (155*2π)/4343 weeks
156-.00596 -.03827 (156*2π)/4343 weeks
157-.07658 -.02654 (157*2π)/4343 weeks
158-.03491 -.09789 (158*2π)/4343 weeks
159-.01829 .07997 (159*2π)/4343 weeks
160-.09811 -.01473 (160*2π)/4343 weeks
161.06114 -.03163 (161*2π)/4343 weeks
162-.04533 .06922 (162*2π)/4343 weeks
163-.04938 .03137 (163*2π)/4343 weeks
164-.09643 -.02369 (164*2π)/4343 weeks
165-.09968 -.02774 (165*2π)/4343 weeks
166-.02245 -.04893 (166*2π)/4343 weeks
167-.08918 -.01575 (167*2π)/4343 weeks
168-.08163 .04063 (168*2π)/4343 weeks
169.06114 -.1258 (169*2π)/4343 weeks
170-.10432 -.09291 (170*2π)/4343 weeks
171-.00725 -.12151 (171*2π)/4343 weeks
172.0182 .03532 (172*2π)/4343 weeks
173.05003 .07076 (173*2π)/4343 weeks
174-.0345 .00084 (174*2π)/4342 weeks
175-.01885 -.04959 (175*2π)/4342 weeks
176.00693 -.02563 (176*2π)/4342 weeks
177-.07595 .04897 (177*2π)/4342 weeks
178-.06711 -.03506 (178*2π)/4342 weeks
179-.07719 -.00325 (179*2π)/4342 weeks
180-.11347 .00267 (180*2π)/4342 weeks
181.01434 -.00994 (181*2π)/4342 weeks
182.00893 .00334 (182*2π)/4342 weeks
183.01682 -.02712 (183*2π)/4342 weeks
184-.00363 -.04713 (184*2π)/4342 weeks
185-.03637 .01436 (185*2π)/4342 weeks
186-.04301 -.04789 (186*2π)/4342 weeks
187-.02382 .00364 (187*2π)/4342 weeks
188.01514 -.02347 (188*2π)/4342 weeks
189.08711 -.05746 (189*2π)/4342 weeks
190.01542 .00958 (190*2π)/4342 weeks
191.01968 -.13046 (191*2π)/4342 weeks
192.03076 .01743 (192*2π)/4342 weeks
193-.04604 .02736 (193*2π)/4342 weeks
194.03873 -.0348 (194*2π)/4342 weeks
195.10677 .01801 (195*2π)/4342 weeks
196.00402 -.05052 (196*2π)/4342 weeks
197.01375 .01352 (197*2π)/4342 weeks
198.01809 .0159 (198*2π)/4342 weeks
199-.03493 -.03749 (199*2π)/4342 weeks
200-.07458 .05111 (200*2π)/4342 weeks
201-.05195 -.0235 (201*2π)/4342 weeks
202.045 .04117 (202*2π)/4342 weeks
203.00219 .15082 (203*2π)/4342 weeks
204-.05171 .0434 (204*2π)/4342 weeks
205.05138 .02816 (205*2π)/4342 weeks
206.03155 .09157 (206*2π)/4342 weeks
207-.03718 .07351 (207*2π)/4342 weeks
208-.0862 -.06332 (208*2π)/4342 weeks
209-.06901 -.0343 (209*2π)/4342 weeks
210-.08236 -.08099 (210*2π)/4342 weeks
211-.10354 .13337 (211*2π)/4342 weeks
212-.13081 .08983 (212*2π)/4342 weeks
213-.07309 -.00667 (213*2π)/4342 weeks
214.00047 -.00446 (214*2π)/4342 weeks
215-.04497 -.09679 (215*2π)/4342 weeks
216-.08403 .01803 (216*2π)/4342 weeks
217-.12796   (217*2π)/4342 weeks
218-.08403 -.01803 (218*2π)/4342 weeks
219-.04497 .09679 (219*2π)/4342 weeks
220.00047 .00446 (220*2π)/4342 weeks
221-.07309 .00667 (221*2π)/4342 weeks
222-.13081 -.08983 (222*2π)/4342 weeks
223-.10354 -.13337 (223*2π)/4342 weeks
224-.08236 .08099 (224*2π)/4342 weeks
225-.06901 .0343 (225*2π)/4342 weeks
226-.0862 .06332 (226*2π)/4342 weeks
227-.03718 -.07351 (227*2π)/4342 weeks
228.03155 -.09157 (228*2π)/4342 weeks
229.05138 -.02816 (229*2π)/4342 weeks
230-.05171 -.0434 (230*2π)/4342 weeks
231.00219 -.15082 (231*2π)/4342 weeks
232.045 -.04117 (232*2π)/4342 weeks
233-.05195 .0235 (233*2π)/4342 weeks
234-.07458 -.05111 (234*2π)/4342 weeks
235-.03493 .03749 (235*2π)/4342 weeks
236.01809 -.0159 (236*2π)/4342 weeks
237.01375 -.01352 (237*2π)/4342 weeks
238.00402 .05052 (238*2π)/4342 weeks
239.10677 -.01801 (239*2π)/4342 weeks
240.03873 .0348 (240*2π)/4342 weeks
241-.04604 -.02736 (241*2π)/4342 weeks
242.03076 -.01743 (242*2π)/4342 weeks
243.01968 .13046 (243*2π)/4342 weeks
244.01542 -.00958 (244*2π)/4342 weeks
245.08711 .05746 (245*2π)/4342 weeks
246.01514 .02347 (246*2π)/4342 weeks
247-.02382 -.00364 (247*2π)/4342 weeks
248-.04301 .04789 (248*2π)/4342 weeks
249-.03637 -.01436 (249*2π)/4342 weeks
250-.00363 .04713 (250*2π)/4342 weeks
251.01682 .02712 (251*2π)/4342 weeks
252.00893 -.00334 (252*2π)/4342 weeks
253.01434 .00994 (253*2π)/4342 weeks
254-.11347 -.00267 (254*2π)/4342 weeks
255-.07719 .00325 (255*2π)/4342 weeks
256-.06711 .03506 (256*2π)/4342 weeks
257-.07595 -.04897 (257*2π)/4342 weeks
258.00693 .02563 (258*2π)/4342 weeks
259-.01885 .04959 (259*2π)/4342 weeks
260-.0345 -.00084 (260*2π)/4342 weeks
261.05003 -.07076 (261*2π)/4342 weeks
262.0182 -.03532 (262*2π)/4342 weeks
263-.00725 .12151 (263*2π)/4342 weeks
264-.10432 .09291 (264*2π)/4342 weeks
265.06114 .1258 (265*2π)/4342 weeks
266-.08163 -.04063 (266*2π)/4342 weeks
267-.08918 .01575 (267*2π)/4342 weeks
268-.02245 .04893 (268*2π)/4342 weeks
269-.09968 .02774 (269*2π)/4342 weeks
270-.09643 .02369 (270*2π)/4342 weeks
271-.04938 -.03137 (271*2π)/4342 weeks
272-.04533 -.06922 (272*2π)/4342 weeks
273.06114 .03163 (273*2π)/4342 weeks
274-.09811 .01473 (274*2π)/4342 weeks
275-.01829 -.07997 (275*2π)/4342 weeks
276-.03491 .09789 (276*2π)/4342 weeks
277-.07658 .02654 (277*2π)/4342 weeks
278-.00596 .03827 (278*2π)/4342 weeks
279-.00017 .03773 (279*2π)/4342 weeks
280.03394 -.12045 (280*2π)/4342 weeks
281.0598 -.03605 (281*2π)/4342 weeks
282-.06992 .02653 (282*2π)/4342 weeks
283-.02462 .07449 (283*2π)/4342 weeks
284.01636 .02826 (284*2π)/4342 weeks
285.03561 -.06687 (285*2π)/4342 weeks
286.04038 -.00776 (286*2π)/4342 weeks
287-.05007 .04552 (287*2π)/4342 weeks
288-.02608 .03795 (288*2π)/4342 weeks
289-.03687 .10111 (289*2π)/4342 weeks
290.02749 .04929 (290*2π)/4341 weeks
291-.02998 .00292 (291*2π)/4341 weeks
292-.04626 .03546 (292*2π)/4341 weeks
293-.02571 .05866 (293*2π)/4341 weeks
294-.03886 .04405 (294*2π)/4341 weeks
295-.04981 -.00072 (295*2π)/4341 weeks
296-.06962 .10859 (296*2π)/4341 weeks
297-.0562 .04492 (297*2π)/4341 weeks
298-.0406 .10545 (298*2π)/4341 weeks
299-.03389 .00408 (299*2π)/4341 weeks
300-.06227 .07053 (300*2π)/4341 weeks
301.03888 .07999 (301*2π)/4341 weeks
302-.051 .0662 (302*2π)/4341 weeks
303-.08832 .03851 (303*2π)/4341 weeks
304-.02742 .0631 (304*2π)/4341 weeks
305-.07442 -.02181 (305*2π)/4341 weeks
306-.0511 -.08287 (306*2π)/4341 weeks
307.00276 -.02618 (307*2π)/4341 weeks
308.0068 .09255 (308*2π)/4341 weeks
309-.19533 .00672 (309*2π)/4341 weeks
310.00271 .0468 (310*2π)/4341 weeks
311.01469 -.00799 (311*2π)/4341 weeks
312-.07179 -.00494 (312*2π)/4341 weeks
313.01106 .0312 (313*2π)/4341 weeks
314-.106 .04313 (314*2π)/4341 weeks
315-.08499 -.05301 (315*2π)/4341 weeks
316-.05719 .03737 (316*2π)/4341 weeks
317-.15118 -.00303 (317*2π)/4341 weeks
318.01014 .04811 (318*2π)/4341 weeks
319-.03512 .05951 (319*2π)/4341 weeks
320.01737 -.02798 (320*2π)/4341 weeks
321.02403 .04601 (321*2π)/4341 weeks
322-.10784 .03173 (322*2π)/4341 weeks
323-.08342 .03142 (323*2π)/4341 weeks
324-.15454 .05564 (324*2π)/4341 weeks
325-.2115 -.06398 (325*2π)/4341 weeks
326-.00086 -.01015 (326*2π)/4341 weeks
327.01208 .09149 (327*2π)/4341 weeks
328.04466 -.0024 (328*2π)/4341 weeks
329-.00798 -.06762 (329*2π)/4341 weeks
330-.03422 .0772 (330*2π)/4341 weeks
331-.1 .10481 (331*2π)/4341 weeks
332-.05281 -.00876 (332*2π)/4341 weeks
333.01739 -.01132 (333*2π)/4341 weeks
334-.05194 .19201 (334*2π)/4341 weeks
335-.14263 .07774 (335*2π)/4341 weeks
336.00673 .17246 (336*2π)/4341 weeks
337-.10774 .07634 (337*2π)/4341 weeks
338-.10288 .00569 (338*2π)/4341 weeks
339-.00367 -.03679 (339*2π)/4341 weeks
340-.03576 -.05812 (340*2π)/4341 weeks
341-.01943 -.00988 (341*2π)/4341 weeks
342-.11578 .01919 (342*2π)/4341 weeks
343-.17981 .03532 (343*2π)/4341 weeks
344-.02451 -.04507 (344*2π)/4341 weeks
345-.05059 .12169 (345*2π)/4341 weeks
346-.05454 .05436 (346*2π)/4341 weeks
347.07229 -.06379 (347*2π)/4341 weeks
348-.00669 -.07348 (348*2π)/4341 weeks
349.03221 -.04667 (349*2π)/4341 weeks
350-.13546 -.01212 (350*2π)/4341 weeks
351-.06428 .08552 (351*2π)/4341 weeks
352-.02571 .10002 (352*2π)/4341 weeks
353.10085 .13848 (353*2π)/4341 weeks
354.08584 .06567 (354*2π)/4341 weeks
355.138 -.05226 (355*2π)/4341 weeks
356.08949 -.05391 (356*2π)/4341 weeks
357.03207 -.03799 (357*2π)/4341 weeks
358-.05337 -.02197 (358*2π)/4341 weeks
359.01351 .16438 (359*2π)/4341 weeks
360-.09439 -.13447 (360*2π)/4341 weeks
361-.07811 -.0874 (361*2π)/4341 weeks
362-.00957 .03287 (362*2π)/4341 weeks
363.09731 .00128 (363*2π)/4341 weeks
364.08747 .1919 (364*2π)/4341 weeks
365.12518 .1866 (365*2π)/4341 weeks
366.09679 .02428 (366*2π)/4341 weeks
367.02346 .28121 (367*2π)/4341 weeks
368.03049 .03511 (368*2π)/4341 weeks
369.24548 .08237 (369*2π)/4341 weeks
370-.15965 .17967 (370*2π)/4341 weeks
371.11546 .03901 (371*2π)/4341 weeks
372-.01938 .33588 (372*2π)/4341 weeks
373-.27071 .00081 (373*2π)/4341 weeks
374.16451 .0865 (374*2π)/4341 weeks
375.01838 .18027 (375*2π)/4341 weeks
376-.23705 .14901 (376*2π)/4341 weeks
377-.13481 .15392 (377*2π)/4341 weeks
378-.14385 .08788 (378*2π)/4341 weeks
379-.1212 -.19644 (379*2π)/4341 weeks
380.13085 .09374 (380*2π)/4341 weeks
381-.08468 .1114 (381*2π)/4341 weeks
382.19863 .10888 (382*2π)/4341 weeks
383.07199 .17284 (383*2π)/4341 weeks
384-.0123 .06291 (384*2π)/4341 weeks
385.08374 .13543 (385*2π)/4341 weeks
386-.20042 .1164 (386*2π)/4341 weeks
387-.06332 .05646 (387*2π)/4341 weeks
388-.12456 .00361 (388*2π)/4341 weeks
389-.04004 .2586 (389*2π)/4341 weeks
390.09107 -.13836 (390*2π)/4341 weeks
391-.07398 -.02398 (391*2π)/4341 weeks
392.06335 .11288 (392*2π)/4341 weeks
393-.00202 -.08152 (393*2π)/4341 weeks
394-.03574 .2048 (394*2π)/4341 weeks
395-.28431 -.1665 (395*2π)/4341 weeks
396-.29303 .36799 (396*2π)/4341 weeks
397.06193 .13558 (397*2π)/4341 weeks
398.23036 -.03534 (398*2π)/4341 weeks
399.01319 -.18582 (399*2π)/4341 weeks
400.01941 -.00766 (400*2π)/4341 weeks
401-.43972 .33264 (401*2π)/4341 weeks
402-.24423 -.32206 (402*2π)/4341 weeks
403.19789 -.03748 (403*2π)/4341 weeks
404-.05038 .26852 (404*2π)/4341 weeks
405-.29968 -.06149 (405*2π)/4341 weeks
406-.05901 .0451 (406*2π)/4341 weeks
407-.4355 -.14712 (407*2π)/4341 weeks
408.29624 -.09695 (408*2π)/4341 weeks
409.45919 .11707 (409*2π)/4341 weeks
410.2367 .05924 (410*2π)/4341 weeks
411.47365 -.00901 (411*2π)/4341 weeks
412.19389 .03665 (412*2π)/4341 weeks
413.51542 -.48595 (413*2π)/4341 weeks
414-.21441 .06349 (414*2π)/4341 weeks
415-.06384 .31483 (415*2π)/4341 weeks
416-.2121 .7998 (416*2π)/4341 weeks
417-.11973 .66972 (417*2π)/4341 weeks
418.32744 .47349 (418*2π)/4341 weeks
419.19233 -.05239 (419*2π)/4341 weeks
420.36146 .71125 (420*2π)/4341 weeks
421-.76509 .07305 (421*2π)/4341 weeks
422.00649 .39592 (422*2π)/4341 weeks
423.91452 1.71861 (423*2π)/4341 weeks
424.4314 -.18742 (424*2π)/4341 weeks
425.44023 1.11291 (425*2π)/4341 weeks
426-.12794 .97967 (426*2π)/4341 weeks
4271.36591 2.02951 (427*2π)/4341 weeks
4281.62092 3.13789 (428*2π)/4341 weeks
429.28529 3.52365 (429*2π)/4341 weeks
4301.41391 1.31137 (430*2π)/4341 weeks
431-.46675 3.28621 (431*2π)/4341 weeks
432-5.14961 3.35336 (432*2π)/4341 weeks

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