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Fourier Analysis of AAXJ (iShares MSCI All Country Asia ex Japan ETF)


AAXJ (iShares MSCI All Country Asia ex Japan ETF) appears to have interesting cyclic behaviour every 39 weeks (1.6572*sine), 47 weeks (1.579*sine), and 39 weeks (1.2913*cosine).

AAXJ (iShares MSCI All Country Asia ex Japan ETF) has an average price of 51.69 (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 7/24/2017 for AAXJ (iShares MSCI All Country Asia ex Japan ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
051.686   0 
1-3.36057 -5.28799 (1*2π)/468468 weeks
2-3.20638 -2.34176 (2*2π)/468234 weeks
3.87478 -4.52877 (3*2π)/468156 weeks
41.94287 -4.12897 (4*2π)/468117 weeks
5-1.12551 -3.4831 (5*2π)/46894 weeks
6.29227 -3.24 (6*2π)/46878 weeks
71.32501 -1.65589 (7*2π)/46867 weeks
81.76478 -.81246 (8*2π)/46859 weeks
9.70868 -1.6914 (9*2π)/46852 weeks
10.9204 -1.57896 (10*2π)/46847 weeks
11-.06521 -.41236 (11*2π)/46843 weeks
121.29134 -1.65718 (12*2π)/46839 weeks
13.06487 -.86006 (13*2π)/46836 weeks
14-.72843 -.36023 (14*2π)/46833 weeks
15.26097 -.96879 (15*2π)/46831 weeks
16.33696 -.24169 (16*2π)/46829 weeks
17.04114 -.73023 (17*2π)/46828 weeks
18-.25456 -.34973 (18*2π)/46826 weeks
19.0263 -.30562 (19*2π)/46825 weeks
20.68202 -.45709 (20*2π)/46823 weeks
21.66091 -.59499 (21*2π)/46822 weeks
22.39031 -1.07998 (22*2π)/46821 weeks
23-.10366 -.15475 (23*2π)/46820 weeks
24.01545 -.36782 (24*2π)/46820 weeks
25.25798 -.10574 (25*2π)/46819 weeks
26.16257 -.23751 (26*2π)/46818 weeks
27.38873 -.2797 (27*2π)/46817 weeks
28.194 -.11201 (28*2π)/46817 weeks
29-.44146 .11147 (29*2π)/46816 weeks
30-.11726 -.17381 (30*2π)/46816 weeks
31-.17016 .03071 (31*2π)/46815 weeks
32-.14976 -.32747 (32*2π)/46815 weeks
33.18703 -.23519 (33*2π)/46814 weeks
34.11207 .13202 (34*2π)/46814 weeks
35-.37269 -.04538 (35*2π)/46813 weeks
36.01207 -.58083 (36*2π)/46813 weeks
37-.04644 -.27592 (37*2π)/46813 weeks
38-.21303 -.06247 (38*2π)/46812 weeks
39.09037 .06086 (39*2π)/46812 weeks
40.09816 -.16752 (40*2π)/46812 weeks
41-.24648 -.47561 (41*2π)/46811 weeks
42-.21671 .06998 (42*2π)/46811 weeks
43-.04405 -.31674 (43*2π)/46811 weeks
44.1017 -.10481 (44*2π)/46811 weeks
45-.02188 -.28698 (45*2π)/46810 weeks
46.01036 -.10696 (46*2π)/46810 weeks
47.02496 -.24506 (47*2π)/46810 weeks
48-.30146 -.09331 (48*2π)/46810 weeks
49.05473 -.11615 (49*2π)/46810 weeks
50-.10859 -.17646 (50*2π)/4689 weeks
51-.08121 -.13744 (51*2π)/4689 weeks
52-.1694 -.29686 (52*2π)/4689 weeks
53.05714 -.19247 (53*2π)/4689 weeks
54-.01885 -.17408 (54*2π)/4689 weeks
55.06993 -.29011 (55*2π)/4689 weeks
56.15314 -.27688 (56*2π)/4688 weeks
57-.13073 -.1933 (57*2π)/4688 weeks
58.02327 -.24829 (58*2π)/4688 weeks
59-.02306 .05986 (59*2π)/4688 weeks
60-.26989 -.15358 (60*2π)/4688 weeks
61-.2228 -.16069 (61*2π)/4688 weeks
62-.1453 -.14498 (62*2π)/4688 weeks
63-.1586 -.35484 (63*2π)/4687 weeks
64-.05704 -.24354 (64*2π)/4687 weeks
65.06002 -.00576 (65*2π)/4687 weeks
66-.30558 -.17555 (66*2π)/4687 weeks
67-.00397 -.36003 (67*2π)/4687 weeks
68.06082 -.09071 (68*2π)/4687 weeks
69-.17319 -.23273 (69*2π)/4687 weeks
70.20563 -.21064 (70*2π)/4687 weeks
71-.00925 -.13418 (71*2π)/4687 weeks
72-.13078 -.28936 (72*2π)/4687 weeks
73.08639 -.15007 (73*2π)/4686 weeks
74-.07945 -.20063 (74*2π)/4686 weeks
75-.00439 -.08434 (75*2π)/4686 weeks
76.15705 -.06895 (76*2π)/4686 weeks
77.07625 -.00035 (77*2π)/4686 weeks
78.08867 -.08467 (78*2π)/4686 weeks
79-.0698 -.0878 (79*2π)/4686 weeks
80-.1889 -.01127 (80*2π)/4686 weeks
81.01967 -.20975 (81*2π)/4686 weeks
82-.08661 -.07383 (82*2π)/4686 weeks
83.00712 -.05307 (83*2π)/4686 weeks
84.06645 -.07986 (84*2π)/4686 weeks
85.05844 -.14288 (85*2π)/4686 weeks
86-.11271 -.188 (86*2π)/4685 weeks
87-.16918 -.14676 (87*2π)/4685 weeks
88-.13468 .03931 (88*2π)/4685 weeks
89-.05741 .04033 (89*2π)/4685 weeks
90.03037 .00063 (90*2π)/4685 weeks
91-.05424 -.13841 (91*2π)/4685 weeks
92-.0497 -.00887 (92*2π)/4685 weeks
93-.09018 .02051 (93*2π)/4685 weeks
94-.0005 .09565 (94*2π)/4685 weeks
95-.03997 -.06543 (95*2π)/4685 weeks
96-.04872 -.15591 (96*2π)/4685 weeks
97-.03929 -.0084 (97*2π)/4685 weeks
98-.19315 -.0392 (98*2π)/4685 weeks
99-.09742 -.04839 (99*2π)/4685 weeks
100-.02017 -.09117 (100*2π)/4685 weeks
101-.04179 -.06257 (101*2π)/4685 weeks
102-.11037 -.08873 (102*2π)/4685 weeks
103-.17497 -.00253 (103*2π)/4685 weeks
104-.19393 -.0423 (104*2π)/4685 weeks
105-.17316 -.08756 (105*2π)/4684 weeks
106.0092 -.05479 (106*2π)/4684 weeks
107-.12817 -.12881 (107*2π)/4684 weeks
108-.02507 -.21219 (108*2π)/4684 weeks
109-.02925 -.02456 (109*2π)/4684 weeks
110-.08383 -.02519 (110*2π)/4684 weeks
111-.13701 -.11674 (111*2π)/4684 weeks
112-.06386 -.08601 (112*2π)/4684 weeks
113.02122 -.0009 (113*2π)/4684 weeks
114-.03648 -.09887 (114*2π)/4684 weeks
115-.12913 -.06039 (115*2π)/4684 weeks
116-.03024 .02481 (116*2π)/4684 weeks
117-.0441 .11924 (117*2π)/4684 weeks
118-.15842 -.05696 (118*2π)/4684 weeks
119-.11039 -.12042 (119*2π)/4684 weeks
120-.10529 -.08303 (120*2π)/4684 weeks
121-.14164 -.10269 (121*2π)/4684 weeks
122-.02406 -.05066 (122*2π)/4684 weeks
123-.02274 .01256 (123*2π)/4684 weeks
124-.05951 -.08091 (124*2π)/4684 weeks
125-.03342 -.07796 (125*2π)/4684 weeks
126-.14962 .02334 (126*2π)/4684 weeks
127-.07307 -.06056 (127*2π)/4684 weeks
128-.03963 -.00337 (128*2π)/4684 weeks
129-.12292 -.06792 (129*2π)/4684 weeks
130-.07233 -.13538 (130*2π)/4684 weeks
131-.06938 -.03424 (131*2π)/4684 weeks
132-.1151 -.08809 (132*2π)/4684 weeks
133-.1102 .00977 (133*2π)/4684 weeks
134-.02919 .01791 (134*2π)/4683 weeks
135-.2103 -.08446 (135*2π)/4683 weeks
136-.02745 -.07522 (136*2π)/4683 weeks
137-.03542 .0244 (137*2π)/4683 weeks
138-.06516 .07423 (138*2π)/4683 weeks
139-.07815 .00269 (139*2π)/4683 weeks
140-.07276 -.09412 (140*2π)/4683 weeks
141-.09977 -.03943 (141*2π)/4683 weeks
142-.08556 -.09377 (142*2π)/4683 weeks
143-.07202 -.12536 (143*2π)/4683 weeks
144-.07198 -.00599 (144*2π)/4683 weeks
145-.03699 -.06162 (145*2π)/4683 weeks
146-.11036 -.02867 (146*2π)/4683 weeks
147-.02733 -.06709 (147*2π)/4683 weeks
148-.07147 -.05765 (148*2π)/4683 weeks
149-.05489 -.12791 (149*2π)/4683 weeks
150-.09196 -.02674 (150*2π)/4683 weeks
151-.07005 -.0511 (151*2π)/4683 weeks
152-.05684 -.06099 (152*2π)/4683 weeks
153-.06418 -.02993 (153*2π)/4683 weeks
154-.02748 -.0218 (154*2π)/4683 weeks
155-.03312 -.09059 (155*2π)/4683 weeks
156-.09154 -.03939 (156*2π)/4683 weeks
157-.00357 -.02946 (157*2π)/4683 weeks
158-.01193 -.0378 (158*2π)/4683 weeks
159.00889 -.10647 (159*2π)/4683 weeks
160-.00872 -.03498 (160*2π)/4683 weeks
161-.0705 .04266 (161*2π)/4683 weeks
162-.00884 .00817 (162*2π)/4683 weeks
163  -.07226 (163*2π)/4683 weeks
164-.07212 -.06225 (164*2π)/4683 weeks
165.04269 .01664 (165*2π)/4683 weeks
166.03809 .07302 (166*2π)/4683 weeks
167-.04549 -.08033 (167*2π)/4683 weeks
168-.06434 -.05995 (168*2π)/4683 weeks
169-.09419 -.00225 (169*2π)/4683 weeks
170-.08361 -.05587 (170*2π)/4683 weeks
171.05227 -.01207 (171*2π)/4683 weeks
172-.08761 .00147 (172*2π)/4683 weeks
173-.07383 -.10774 (173*2π)/4683 weeks
174.01639 .01461 (174*2π)/4683 weeks
175-.08933 .01668 (175*2π)/4683 weeks
176-.08618 .01749 (176*2π)/4683 weeks
177-.10346 -.0479 (177*2π)/4683 weeks
178-.1199 -.05445 (178*2π)/4683 weeks
179-.05023 -.06659 (179*2π)/4683 weeks
180-.10709 -.02468 (180*2π)/4683 weeks
181-.06421 .00279 (181*2π)/4683 weeks
182-.06385 -.18869 (182*2π)/4683 weeks
183-.12854 -.01131 (183*2π)/4683 weeks
184-.04754 -.09526 (184*2π)/4683 weeks
185.07124 -.05459 (185*2π)/4683 weeks
186-.00718 -.0512 (186*2π)/4683 weeks
187-.08336 .04308 (187*2π)/4683 weeks
188-.07757 -.00273 (188*2π)/4682 weeks
189-.02453 -.03254 (189*2π)/4682 weeks
190.00362 -.01668 (190*2π)/4682 weeks
191-.09807 .01368 (191*2π)/4682 weeks
192-.07832 -.05159 (192*2π)/4682 weeks
193-.09093 -.01841 (193*2π)/4682 weeks
194-.10433 -.00293 (194*2π)/4682 weeks
195.0088 -.07182 (195*2π)/4682 weeks
196-.01457 -.06696 (196*2π)/4682 weeks
197-.05597 -.08443 (197*2π)/4682 weeks
198-.0781 -.0501 (198*2π)/4682 weeks
199-.03769 -.01922 (199*2π)/4682 weeks
200-.09618 -.03891 (200*2π)/4682 weeks
201-.05426 -.07117 (201*2π)/4682 weeks
202-.10035 -.0512 (202*2π)/4682 weeks
203-.07159 -.0266 (203*2π)/4682 weeks
204.03557 -.00827 (204*2π)/4682 weeks
205-.02729 .01464 (205*2π)/4682 weeks
206-.00089 -.12639 (206*2π)/4682 weeks
207-.00087 .00403 (207*2π)/4682 weeks
208-.05957 .01988 (208*2π)/4682 weeks
209-.0101 -.07371 (209*2π)/4682 weeks
210.02545 -.06213 (210*2π)/4682 weeks
211-.09924 .00223 (211*2π)/4682 weeks
212-.02189 .01869 (212*2π)/4682 weeks
213-.04208 .02309 (213*2π)/4682 weeks
214-.05621 .06086 (214*2π)/4682 weeks
215.01064 .00875 (215*2π)/4682 weeks
216-.09093 -.0125 (216*2π)/4682 weeks
217-.06002 -.0624 (217*2π)/4682 weeks
218-.01425 .03103 (218*2π)/4682 weeks
219-.06972 .13721 (219*2π)/4682 weeks
220-.08974 .04264 (220*2π)/4682 weeks
221.00671 .01525 (221*2π)/4682 weeks
222-.01205 .05987 (222*2π)/4682 weeks
223-.09858 .05407 (223*2π)/4682 weeks
224-.20016 .00779 (224*2π)/4682 weeks
225-.11789 .04087 (225*2π)/4682 weeks
226-.09832 .05553 (226*2π)/4682 weeks
227.06406 .05385 (227*2π)/4682 weeks
228-.10191 .02506 (228*2π)/4682 weeks
229-.18021 -.00967 (229*2π)/4682 weeks
230-.12307 -.01464 (230*2π)/4682 weeks
231-.05959 .04559 (231*2π)/4682 weeks
232-.0235 -.06925 (232*2π)/4682 weeks
233-.10341 .00518 (233*2π)/4682 weeks
234-.14906   (234*2π)/4682 weeks
235-.10341 -.00518 (235*2π)/4682 weeks
236-.0235 .06925 (236*2π)/4682 weeks
237-.05959 -.04559 (237*2π)/4682 weeks
238-.12307 .01464 (238*2π)/4682 weeks
239-.18021 .00967 (239*2π)/4682 weeks
240-.10191 -.02506 (240*2π)/4682 weeks
241.06406 -.05385 (241*2π)/4682 weeks
242-.09832 -.05553 (242*2π)/4682 weeks
243-.11789 -.04087 (243*2π)/4682 weeks
244-.20016 -.00779 (244*2π)/4682 weeks
245-.09858 -.05407 (245*2π)/4682 weeks
246-.01205 -.05987 (246*2π)/4682 weeks
247.00671 -.01525 (247*2π)/4682 weeks
248-.08974 -.04264 (248*2π)/4682 weeks
249-.06972 -.13721 (249*2π)/4682 weeks
250-.01425 -.03103 (250*2π)/4682 weeks
251-.06002 .0624 (251*2π)/4682 weeks
252-.09093 .0125 (252*2π)/4682 weeks
253.01064 -.00875 (253*2π)/4682 weeks
254-.05621 -.06086 (254*2π)/4682 weeks
255-.04208 -.02309 (255*2π)/4682 weeks
256-.02189 -.01869 (256*2π)/4682 weeks
257-.09924 -.00223 (257*2π)/4682 weeks
258.02545 .06213 (258*2π)/4682 weeks
259-.0101 .07371 (259*2π)/4682 weeks
260-.05957 -.01988 (260*2π)/4682 weeks
261-.00087 -.00403 (261*2π)/4682 weeks
262-.00089 .12639 (262*2π)/4682 weeks
263-.02729 -.01464 (263*2π)/4682 weeks
264.03557 .00827 (264*2π)/4682 weeks
265-.07159 .0266 (265*2π)/4682 weeks
266-.10035 .0512 (266*2π)/4682 weeks
267-.05426 .07117 (267*2π)/4682 weeks
268-.09618 .03891 (268*2π)/4682 weeks
269-.03769 .01922 (269*2π)/4682 weeks
270-.0781 .0501 (270*2π)/4682 weeks
271-.05597 .08443 (271*2π)/4682 weeks
272-.01457 .06696 (272*2π)/4682 weeks
273.0088 .07182 (273*2π)/4682 weeks
274-.10433 .00293 (274*2π)/4682 weeks
275-.09093 .01841 (275*2π)/4682 weeks
276-.07832 .05159 (276*2π)/4682 weeks
277-.09807 -.01368 (277*2π)/4682 weeks
278.00362 .01668 (278*2π)/4682 weeks
279-.02453 .03254 (279*2π)/4682 weeks
280-.07757 .00273 (280*2π)/4682 weeks
281-.08336 -.04308 (281*2π)/4682 weeks
282-.00718 .0512 (282*2π)/4682 weeks
283.07124 .05459 (283*2π)/4682 weeks
284-.04754 .09526 (284*2π)/4682 weeks
285-.12854 .01131 (285*2π)/4682 weeks
286-.06385 .18869 (286*2π)/4682 weeks
287-.06421 -.00279 (287*2π)/4682 weeks
288-.10709 .02468 (288*2π)/4682 weeks
289-.05023 .06659 (289*2π)/4682 weeks
290-.1199 .05445 (290*2π)/4682 weeks
291-.10346 .0479 (291*2π)/4682 weeks
292-.08618 -.01749 (292*2π)/4682 weeks
293-.08933 -.01668 (293*2π)/4682 weeks
294.01639 -.01461 (294*2π)/4682 weeks
295-.07383 .10774 (295*2π)/4682 weeks
296-.08761 -.00147 (296*2π)/4682 weeks
297.05227 .01207 (297*2π)/4682 weeks
298-.08361 .05587 (298*2π)/4682 weeks
299-.09419 .00225 (299*2π)/4682 weeks
300-.06434 .05995 (300*2π)/4682 weeks
301-.04549 .08033 (301*2π)/4682 weeks
302.03809 -.07302 (302*2π)/4682 weeks
303.04269 -.01664 (303*2π)/4682 weeks
304-.07212 .06225 (304*2π)/4682 weeks
305  .07226 (305*2π)/4682 weeks
306-.00884 -.00817 (306*2π)/4682 weeks
307-.0705 -.04266 (307*2π)/4682 weeks
308-.00872 .03498 (308*2π)/4682 weeks
309.00889 .10647 (309*2π)/4682 weeks
310-.01193 .0378 (310*2π)/4682 weeks
311-.00357 .02946 (311*2π)/4682 weeks
312-.09154 .03939 (312*2π)/4682 weeks
313-.03312 .09059 (313*2π)/4681 weeks
314-.02748 .0218 (314*2π)/4681 weeks
315-.06418 .02993 (315*2π)/4681 weeks
316-.05684 .06099 (316*2π)/4681 weeks
317-.07005 .0511 (317*2π)/4681 weeks
318-.09196 .02674 (318*2π)/4681 weeks
319-.05489 .12791 (319*2π)/4681 weeks
320-.07147 .05765 (320*2π)/4681 weeks
321-.02733 .06709 (321*2π)/4681 weeks
322-.11036 .02867 (322*2π)/4681 weeks
323-.03699 .06162 (323*2π)/4681 weeks
324-.07198 .00599 (324*2π)/4681 weeks
325-.07202 .12536 (325*2π)/4681 weeks
326-.08556 .09377 (326*2π)/4681 weeks
327-.09977 .03943 (327*2π)/4681 weeks
328-.07276 .09412 (328*2π)/4681 weeks
329-.07815 -.00269 (329*2π)/4681 weeks
330-.06516 -.07423 (330*2π)/4681 weeks
331-.03542 -.0244 (331*2π)/4681 weeks
332-.02745 .07522 (332*2π)/4681 weeks
333-.2103 .08446 (333*2π)/4681 weeks
334-.02919 -.01791 (334*2π)/4681 weeks
335-.1102 -.00977 (335*2π)/4681 weeks
336-.1151 .08809 (336*2π)/4681 weeks
337-.06938 .03424 (337*2π)/4681 weeks
338-.07233 .13538 (338*2π)/4681 weeks
339-.12292 .06792 (339*2π)/4681 weeks
340-.03963 .00337 (340*2π)/4681 weeks
341-.07307 .06056 (341*2π)/4681 weeks
342-.14962 -.02334 (342*2π)/4681 weeks
343-.03342 .07796 (343*2π)/4681 weeks
344-.05951 .08091 (344*2π)/4681 weeks
345-.02274 -.01256 (345*2π)/4681 weeks
346-.02406 .05066 (346*2π)/4681 weeks
347-.14164 .10269 (347*2π)/4681 weeks
348-.10529 .08303 (348*2π)/4681 weeks
349-.11039 .12042 (349*2π)/4681 weeks
350-.15842 .05696 (350*2π)/4681 weeks
351-.0441 -.11924 (351*2π)/4681 weeks
352-.03024 -.02481 (352*2π)/4681 weeks
353-.12913 .06039 (353*2π)/4681 weeks
354-.03648 .09887 (354*2π)/4681 weeks
355.02122 .0009 (355*2π)/4681 weeks
356-.06386 .08601 (356*2π)/4681 weeks
357-.13701 .11674 (357*2π)/4681 weeks
358-.08383 .02519 (358*2π)/4681 weeks
359-.02925 .02456 (359*2π)/4681 weeks
360-.02507 .21219 (360*2π)/4681 weeks
361-.12817 .12881 (361*2π)/4681 weeks
362.0092 .05479 (362*2π)/4681 weeks
363-.17316 .08756 (363*2π)/4681 weeks
364-.19393 .0423 (364*2π)/4681 weeks
365-.17497 .00253 (365*2π)/4681 weeks
366-.11037 .08873 (366*2π)/4681 weeks
367-.04179 .06257 (367*2π)/4681 weeks
368-.02017 .09117 (368*2π)/4681 weeks
369-.09742 .04839 (369*2π)/4681 weeks
370-.19315 .0392 (370*2π)/4681 weeks
371-.03929 .0084 (371*2π)/4681 weeks
372-.04872 .15591 (372*2π)/4681 weeks
373-.03997 .06543 (373*2π)/4681 weeks
374-.0005 -.09565 (374*2π)/4681 weeks
375-.09018 -.02051 (375*2π)/4681 weeks
376-.0497 .00887 (376*2π)/4681 weeks
377-.05424 .13841 (377*2π)/4681 weeks
378.03037 -.00063 (378*2π)/4681 weeks
379-.05741 -.04033 (379*2π)/4681 weeks
380-.13468 -.03931 (380*2π)/4681 weeks
381-.16918 .14676 (381*2π)/4681 weeks
382-.11271 .188 (382*2π)/4681 weeks
383.05844 .14288 (383*2π)/4681 weeks
384.06645 .07986 (384*2π)/4681 weeks
385.00712 .05307 (385*2π)/4681 weeks
386-.08661 .07383 (386*2π)/4681 weeks
387.01967 .20975 (387*2π)/4681 weeks
388-.1889 .01127 (388*2π)/4681 weeks
389-.0698 .0878 (389*2π)/4681 weeks
390.08867 .08467 (390*2π)/4681 weeks
391.07625 .00035 (391*2π)/4681 weeks
392.15705 .06895 (392*2π)/4681 weeks
393-.00439 .08434 (393*2π)/4681 weeks
394-.07945 .20063 (394*2π)/4681 weeks
395.08639 .15007 (395*2π)/4681 weeks
396-.13078 .28936 (396*2π)/4681 weeks
397-.00925 .13418 (397*2π)/4681 weeks
398.20563 .21064 (398*2π)/4681 weeks
399-.17319 .23273 (399*2π)/4681 weeks
400.06082 .09071 (400*2π)/4681 weeks
401-.00397 .36003 (401*2π)/4681 weeks
402-.30558 .17555 (402*2π)/4681 weeks
403.06002 .00576 (403*2π)/4681 weeks
404-.05704 .24354 (404*2π)/4681 weeks
405-.1586 .35484 (405*2π)/4681 weeks
406-.1453 .14498 (406*2π)/4681 weeks
407-.2228 .16069 (407*2π)/4681 weeks
408-.26989 .15358 (408*2π)/4681 weeks
409-.02306 -.05986 (409*2π)/4681 weeks
410.02327 .24829 (410*2π)/4681 weeks
411-.13073 .1933 (411*2π)/4681 weeks
412.15314 .27688 (412*2π)/4681 weeks
413.06993 .29011 (413*2π)/4681 weeks
414-.01885 .17408 (414*2π)/4681 weeks
415.05714 .19247 (415*2π)/4681 weeks
416-.1694 .29686 (416*2π)/4681 weeks
417-.08121 .13744 (417*2π)/4681 weeks
418-.10859 .17646 (418*2π)/4681 weeks
419.05473 .11615 (419*2π)/4681 weeks
420-.30146 .09331 (420*2π)/4681 weeks
421.02496 .24506 (421*2π)/4681 weeks
422.01036 .10696 (422*2π)/4681 weeks
423-.02188 .28698 (423*2π)/4681 weeks
424.1017 .10481 (424*2π)/4681 weeks
425-.04405 .31674 (425*2π)/4681 weeks
426-.21671 -.06998 (426*2π)/4681 weeks
427-.24648 .47561 (427*2π)/4681 weeks
428.09816 .16752 (428*2π)/4681 weeks
429.09037 -.06086 (429*2π)/4681 weeks
430-.21303 .06247 (430*2π)/4681 weeks
431-.04644 .27592 (431*2π)/4681 weeks
432.01207 .58083 (432*2π)/4681 weeks
433-.37269 .04538 (433*2π)/4681 weeks
434.11207 -.13202 (434*2π)/4681 weeks
435.18703 .23519 (435*2π)/4681 weeks
436-.14976 .32747 (436*2π)/4681 weeks
437-.17016 -.03071 (437*2π)/4681 weeks
438-.11726 .17381 (438*2π)/4681 weeks
439-.44146 -.11147 (439*2π)/4681 weeks
440.194 .11201 (440*2π)/4681 weeks
441.38873 .2797 (441*2π)/4681 weeks
442.16257 .23751 (442*2π)/4681 weeks
443.25798 .10574 (443*2π)/4681 weeks
444.01545 .36782 (444*2π)/4681 weeks
445-.10366 .15475 (445*2π)/4681 weeks
446.39031 1.07998 (446*2π)/4681 weeks
447.66091 .59499 (447*2π)/4681 weeks
448.68202 .45709 (448*2π)/4681 weeks
449.0263 .30562 (449*2π)/4681 weeks
450-.25456 .34973 (450*2π)/4681 weeks
451.04114 .73023 (451*2π)/4681 weeks
452.33696 .24169 (452*2π)/4681 weeks
453.26097 .96879 (453*2π)/4681 weeks
454-.72843 .36023 (454*2π)/4681 weeks
455.06487 .86006 (455*2π)/4681 weeks
4561.29134 1.65718 (456*2π)/4681 weeks
457-.06521 .41236 (457*2π)/4681 weeks
458.9204 1.57896 (458*2π)/4681 weeks
459.70868 1.6914 (459*2π)/4681 weeks
4601.76478 .81246 (460*2π)/4681 weeks
4611.32501 1.65589 (461*2π)/4681 weeks
462.29227 3.24 (462*2π)/4681 weeks
463-1.12551 3.4831 (463*2π)/4681 weeks
4641.94287 4.12897 (464*2π)/4681 weeks
465.87478 4.52877 (465*2π)/4681 weeks
466-3.20638 2.34176 (466*2π)/4681 weeks



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