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Fourier Analysis of ACWI (iShares MSCI ACWI Index Fund)


ACWI (iShares MSCI ACWI Index Fund) appears to have interesting cyclic behaviour every 45 weeks (.6446*cosine), 24 weeks (.5983*sine), and 16 weeks (.554*cosine).

ACWI (iShares MSCI ACWI Index Fund) has an average price of 44.98 (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 3/28/2008 to 11/28/2016 for ACWI (iShares MSCI ACWI Index Fund), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
044.98473   0 
1.73887 -11.73406 (1*2π)/454454 weeks
2-1.42413 -4.69554 (2*2π)/454227 weeks
32.45068 -2.54832 (3*2π)/454151 weeks
41.73142 -1.30144 (4*2π)/454114 weeks
52.02447 -1.40223 (5*2π)/45491 weeks
62.04375 -.06053 (6*2π)/45476 weeks
7.29872 .23125 (7*2π)/45465 weeks
8-.47149 -.76326 (8*2π)/45457 weeks
9-.04933 .07918 (9*2π)/45450 weeks
10-.64463 -.00217 (10*2π)/45445 weeks
11.11138 -.26117 (11*2π)/45441 weeks
12-.45938 -.46176 (12*2π)/45438 weeks
13-.2908 -.53794 (13*2π)/45435 weeks
14-.0751 .2275 (14*2π)/45432 weeks
15-.30769 -.46995 (15*2π)/45430 weeks
16.04297 -.18512 (16*2π)/45428 weeks
17.14591 -.44461 (17*2π)/45427 weeks
18-.00394 -.32205 (18*2π)/45425 weeks
19-.32418 -.59833 (19*2π)/45424 weeks
20-.22257 -.28039 (20*2π)/45423 weeks
21-.09788 -.33553 (21*2π)/45422 weeks
22.25134 .26704 (22*2π)/45421 weeks
23-.04463 .03316 (23*2π)/45420 weeks
24.2814 .21491 (24*2π)/45419 weeks
25.13444 .14958 (25*2π)/45418 weeks
26.09049 -.01806 (26*2π)/45417 weeks
27-.21029 -.00467 (27*2π)/45417 weeks
28-.55404 -.25522 (28*2π)/45416 weeks
29-.19726 -.3293 (29*2π)/45416 weeks
30-.1937 -.23075 (30*2π)/45415 weeks
31.03604 -.14973 (31*2π)/45415 weeks
32-.17815 -.18111 (32*2π)/45414 weeks
33-.2097 -.29533 (33*2π)/45414 weeks
34.21458 -.27798 (34*2π)/45413 weeks
35-.13392 -.0783 (35*2π)/45413 weeks
36-.14176 -.27087 (36*2π)/45413 weeks
37-.02064 -.04487 (37*2π)/45412 weeks
38.04281 -.10899 (38*2π)/45412 weeks
39.2279 -.24582 (39*2π)/45412 weeks
40-.21094 -.23385 (40*2π)/45411 weeks
41-.16478 -.03282 (41*2π)/45411 weeks
42-.03901 -.12338 (42*2π)/45411 weeks
43-.02959 .02826 (43*2π)/45411 weeks
44.03836 -.10845 (44*2π)/45410 weeks
45-.01032 -.01023 (45*2π)/45410 weeks
46-.05128 .04966 (46*2π)/45410 weeks
47-.00403 -.24593 (47*2π)/45410 weeks
48-.0987 -.18378 (48*2π)/4549 weeks
49-.05639 -.1095 (49*2π)/4549 weeks
50-.02366 -.22561 (50*2π)/4549 weeks
51.12251 -.11014 (51*2π)/4549 weeks
52-.07931 -.11643 (52*2π)/4549 weeks
53.04436 -.04655 (53*2π)/4549 weeks
54.07402 -.07813 (54*2π)/4548 weeks
55-.07278 -.26566 (55*2π)/4548 weeks
56-.01796 -.00576 (56*2π)/4548 weeks
57-.06007 -.1845 (57*2π)/4548 weeks
58.09827 -.07245 (58*2π)/4548 weeks
59.07958 -.02548 (59*2π)/4548 weeks
60-.05459 -.04338 (60*2π)/4548 weeks
61-.15154 .08816 (61*2π)/4547 weeks
62-.16268 -.04505 (62*2π)/4547 weeks
63.05255 -.19113 (63*2π)/4547 weeks
64-.19073 .06486 (64*2π)/4547 weeks
65-.19583 -.16394 (65*2π)/4547 weeks
66.00852 -.13698 (66*2π)/4547 weeks
67-.10546 -.16009 (67*2π)/4547 weeks
68.12152 -.15754 (68*2π)/4547 weeks
69-.05135 -.08754 (69*2π)/4547 weeks
70.04856 -.18994 (70*2π)/4546 weeks
71.07923 -.03645 (71*2π)/4546 weeks
72.08271 -.09908 (72*2π)/4546 weeks
73-.04416 -.06676 (73*2π)/4546 weeks
74-.10402 .00494 (74*2π)/4546 weeks
75-.15597 -.0198 (75*2π)/4546 weeks
76-.13317 -.0412 (76*2π)/4546 weeks
77-.11276 -.05913 (77*2π)/4546 weeks
78.01762 -.05499 (78*2π)/4546 weeks
79-.13027 .00573 (79*2π)/4546 weeks
80-.08207 .02594 (80*2π)/4546 weeks
81-.06532 -.01604 (81*2π)/4546 weeks
82-.0456 -.04283 (82*2π)/4546 weeks
83.03208 -.08108 (83*2π)/4545 weeks
84.0264 -.16771 (84*2π)/4545 weeks
85-.01808 -.18477 (85*2π)/4545 weeks
86-.00826 -.09978 (86*2π)/4545 weeks
87.01233 -.15224 (87*2π)/4545 weeks
88-.07258 -.03332 (88*2π)/4545 weeks
89.00935 -.00306 (89*2π)/4545 weeks
90.03083 .08736 (90*2π)/4545 weeks
91.01545 .03322 (91*2π)/4545 weeks
92-.04312 -.03288 (92*2π)/4545 weeks
93-.05321 -.06923 (93*2π)/4545 weeks
94-.08947 .03057 (94*2π)/4545 weeks
95-.14041 -.14413 (95*2π)/4545 weeks
96-.13969 -.07702 (96*2π)/4545 weeks
97-.08058 -.0111 (97*2π)/4545 weeks
98-.08853 -.08077 (98*2π)/4545 weeks
99-.00849 -.03941 (99*2π)/4545 weeks
100.03466 -.11697 (100*2π)/4545 weeks
101.02254 -.10513 (101*2π)/4544 weeks
102.08007 .01026 (102*2π)/4544 weeks
103-.0251 -.10226 (103*2π)/4544 weeks
104-.09156 -.06606 (104*2π)/4544 weeks
105-.10992 -.0312 (105*2π)/4544 weeks
106-.01628 -.03354 (106*2π)/4544 weeks
107.01163 .00137 (107*2π)/4544 weeks
108-.13241 -.02381 (108*2π)/4544 weeks
109-.09167 -.02152 (109*2π)/4544 weeks
110.01127 .01502 (110*2π)/4544 weeks
111.04914 -.01885 (111*2π)/4544 weeks
112.00332 -.1212 (112*2π)/4544 weeks
113-.02374 -.03504 (113*2π)/4544 weeks
114-.15364 .01459 (114*2π)/4544 weeks
115-.10793 -.04494 (115*2π)/4544 weeks
116-.08988 .02244 (116*2π)/4544 weeks
117-.02073 -.08504 (117*2π)/4544 weeks
118.03426 .04173 (118*2π)/4544 weeks
119-.02993 .0608 (119*2π)/4544 weeks
120-.00175 -.06014 (120*2π)/4544 weeks
121-.03029 -.06601 (121*2π)/4544 weeks
122-.0784 -.08499 (122*2π)/4544 weeks
123-.02295 -.00101 (123*2π)/4544 weeks
124-.04934 -.04817 (124*2π)/4544 weeks
125.04096 -.00814 (125*2π)/4544 weeks
126-.03378 .03785 (126*2π)/4544 weeks
127-.02901 -.00173 (127*2π)/4544 weeks
128-.03904 .00249 (128*2π)/4544 weeks
129.02152 -.04112 (129*2π)/4544 weeks
130.04082 -.04149 (130*2π)/4543 weeks
131-.09214 .05091 (131*2π)/4543 weeks
132-.04701 -.073 (132*2π)/4543 weeks
133-.00842 -.03788 (133*2π)/4543 weeks
134-.04566 .00844 (134*2π)/4543 weeks
135-.02734 .03942 (135*2π)/4543 weeks
136-.02381 -.07663 (136*2π)/4543 weeks
137-.05826 .00531 (137*2π)/4543 weeks
138-.02112 -.08276 (138*2π)/4543 weeks
139.01286 -.06156 (139*2π)/4543 weeks
140-.02697 -.05837 (140*2π)/4543 weeks
141.00644 -.00494 (141*2π)/4543 weeks
142.05695 -.03097 (142*2π)/4543 weeks
143-.02943 -.06043 (143*2π)/4543 weeks
144-.01056 -.01419 (144*2π)/4543 weeks
145-.05812 -.00518 (145*2π)/4543 weeks
146-.04594 .0099 (146*2π)/4543 weeks
147-.0242 .04202 (147*2π)/4543 weeks
148-.07548 -.00233 (148*2π)/4543 weeks
149-.05113 .00435 (149*2π)/4543 weeks
150-.05206 -.00109 (150*2π)/4543 weeks
151-.01745 -.04224 (151*2π)/4543 weeks
152-.07749 -.03913 (152*2π)/4543 weeks
153-.06142 -.0215 (153*2π)/4543 weeks
154-.08286 -.02012 (154*2π)/4543 weeks
155.00137 -.01127 (155*2π)/4543 weeks
156.0087 .03345 (156*2π)/4543 weeks
157-.03852 -.04916 (157*2π)/4543 weeks
158-.02986 -.01665 (158*2π)/4543 weeks
159-.09012 .00314 (159*2π)/4543 weeks
160.00642 .01783 (160*2π)/4543 weeks
161-.02257 .11334 (161*2π)/4543 weeks
162-.05478 -.05912 (162*2π)/4543 weeks
163-.05089 -.00813 (163*2π)/4543 weeks
164-.0532 -.04195 (164*2π)/4543 weeks
165-.00849 -.06901 (165*2π)/4543 weeks
166-.09018 .01971 (166*2π)/4543 weeks
167-.04538 -.0943 (167*2π)/4543 weeks
168-.01675 .01952 (168*2π)/4543 weeks
169-.08673 -.07348 (169*2π)/4543 weeks
170-.0385 -.05058 (170*2π)/4543 weeks
171.01817 .00821 (171*2π)/4543 weeks
172.00617 .00545 (172*2π)/4543 weeks
173-.02197 .0398 (173*2π)/4543 weeks
174-.07732 .01895 (174*2π)/4543 weeks
175-.06938 .03259 (175*2π)/4543 weeks
176-.05355 .07246 (176*2π)/4543 weeks
177-.07621 -.07614 (177*2π)/4543 weeks
178-.08352 -.04043 (178*2π)/4543 weeks
179-.07198 -.06752 (179*2π)/4543 weeks
180-.02096 -.01237 (180*2π)/4543 weeks
181-.01496 .03954 (181*2π)/4543 weeks
182-.05419 -.00418 (182*2π)/4542 weeks
183-.04897 -.05994 (183*2π)/4542 weeks
184-.03158 -.00719 (184*2π)/4542 weeks
185-.08254 -.00009 (185*2π)/4542 weeks
186-.04017 -.05923 (186*2π)/4542 weeks
187-.05354 -.00962 (187*2π)/4542 weeks
188-.03543 -.03974 (188*2π)/4542 weeks
189-.00734 .06845 (189*2π)/4542 weeks
190-.02158 .05165 (190*2π)/4542 weeks
191.00741 .00569 (191*2π)/4542 weeks
192-.00882 .00478 (192*2π)/4542 weeks
193-.02889 .01139 (193*2π)/4542 weeks
194-.03392 .03088 (194*2π)/4542 weeks
195-.05156 .03815 (195*2π)/4542 weeks
196-.04826 .02326 (196*2π)/4542 weeks
197-.0417 .0675 (197*2π)/4542 weeks
198-.01518 -.05617 (198*2π)/4542 weeks
199-.04059 .01247 (199*2π)/4542 weeks
200-.05577 -.07547 (200*2π)/4542 weeks
201-.02957 -.00079 (201*2π)/4542 weeks
202-.05674 .00619 (202*2π)/4542 weeks
203.00783 -.0168 (203*2π)/4542 weeks
204.05479 .00629 (204*2π)/4542 weeks
205-.02162 -.04525 (205*2π)/4542 weeks
206-.03197 .02823 (206*2π)/4542 weeks
207-.03176 .04749 (207*2π)/4542 weeks
208-.02915 .01278 (208*2π)/4542 weeks
209-.06677 .01253 (209*2π)/4542 weeks
210-.07125 .05069 (210*2π)/4542 weeks
211-.01313 .07585 (211*2π)/4542 weeks
212-.12144 .04381 (212*2π)/4542 weeks
213-.06894 -.01329 (213*2π)/4542 weeks
214-.03872 .05561 (214*2π)/4542 weeks
215-.06708 -.01354 (215*2π)/4542 weeks
216-.01636 -.02848 (216*2π)/4542 weeks
217.04929 -.0453 (217*2π)/4542 weeks
218-.03512 -.02016 (218*2π)/4542 weeks
219-.04282 -.03182 (219*2π)/4542 weeks
220-.0866 -.02052 (220*2π)/4542 weeks
221.00656 .05079 (221*2π)/4542 weeks
222-.05072 .10146 (222*2π)/4542 weeks
223-.05475 .02506 (223*2π)/4542 weeks
224-.01528 .00523 (224*2π)/4542 weeks
225-.07334 -.04662 (225*2π)/4542 weeks
226-.06561 .01634 (226*2π)/4542 weeks
227-.13704   (227*2π)/4542 weeks
228-.06561 -.01634 (228*2π)/4542 weeks
229-.07334 .04662 (229*2π)/4542 weeks
230-.01528 -.00523 (230*2π)/4542 weeks
231-.05475 -.02506 (231*2π)/4542 weeks
232-.05072 -.10146 (232*2π)/4542 weeks
233.00656 -.05079 (233*2π)/4542 weeks
234-.0866 .02052 (234*2π)/4542 weeks
235-.04282 .03182 (235*2π)/4542 weeks
236-.03512 .02016 (236*2π)/4542 weeks
237.04929 .0453 (237*2π)/4542 weeks
238-.01636 .02848 (238*2π)/4542 weeks
239-.06708 .01354 (239*2π)/4542 weeks
240-.03872 -.05561 (240*2π)/4542 weeks
241-.06894 .01329 (241*2π)/4542 weeks
242-.12144 -.04381 (242*2π)/4542 weeks
243-.01313 -.07585 (243*2π)/4542 weeks
244-.07125 -.05069 (244*2π)/4542 weeks
245-.06677 -.01253 (245*2π)/4542 weeks
246-.02915 -.01278 (246*2π)/4542 weeks
247-.03176 -.04749 (247*2π)/4542 weeks
248-.03197 -.02823 (248*2π)/4542 weeks
249-.02162 .04525 (249*2π)/4542 weeks
250.05479 -.00629 (250*2π)/4542 weeks
251.00783 .0168 (251*2π)/4542 weeks
252-.05674 -.00619 (252*2π)/4542 weeks
253-.02957 .00079 (253*2π)/4542 weeks
254-.05577 .07547 (254*2π)/4542 weeks
255-.04059 -.01247 (255*2π)/4542 weeks
256-.01518 .05617 (256*2π)/4542 weeks
257-.0417 -.0675 (257*2π)/4542 weeks
258-.04826 -.02326 (258*2π)/4542 weeks
259-.05156 -.03815 (259*2π)/4542 weeks
260-.03392 -.03088 (260*2π)/4542 weeks
261-.02889 -.01139 (261*2π)/4542 weeks
262-.00882 -.00478 (262*2π)/4542 weeks
263.00741 -.00569 (263*2π)/4542 weeks
264-.02158 -.05165 (264*2π)/4542 weeks
265-.00734 -.06845 (265*2π)/4542 weeks
266-.03543 .03974 (266*2π)/4542 weeks
267-.05354 .00962 (267*2π)/4542 weeks
268-.04017 .05923 (268*2π)/4542 weeks
269-.08254 .00009 (269*2π)/4542 weeks
270-.03158 .00719 (270*2π)/4542 weeks
271-.04897 .05994 (271*2π)/4542 weeks
272-.05419 .00418 (272*2π)/4542 weeks
273-.01496 -.03954 (273*2π)/4542 weeks
274-.02096 .01237 (274*2π)/4542 weeks
275-.07198 .06752 (275*2π)/4542 weeks
276-.08352 .04043 (276*2π)/4542 weeks
277-.07621 .07614 (277*2π)/4542 weeks
278-.05355 -.07246 (278*2π)/4542 weeks
279-.06938 -.03259 (279*2π)/4542 weeks
280-.07732 -.01895 (280*2π)/4542 weeks
281-.02197 -.0398 (281*2π)/4542 weeks
282.00617 -.00545 (282*2π)/4542 weeks
283.01817 -.00821 (283*2π)/4542 weeks
284-.0385 .05058 (284*2π)/4542 weeks
285-.08673 .07348 (285*2π)/4542 weeks
286-.01675 -.01952 (286*2π)/4542 weeks
287-.04538 .0943 (287*2π)/4542 weeks
288-.09018 -.01971 (288*2π)/4542 weeks
289-.00849 .06901 (289*2π)/4542 weeks
290-.0532 .04195 (290*2π)/4542 weeks
291-.05089 .00813 (291*2π)/4542 weeks
292-.05478 .05912 (292*2π)/4542 weeks
293-.02257 -.11334 (293*2π)/4542 weeks
294.00642 -.01783 (294*2π)/4542 weeks
295-.09012 -.00314 (295*2π)/4542 weeks
296-.02986 .01665 (296*2π)/4542 weeks
297-.03852 .04916 (297*2π)/4542 weeks
298.0087 -.03345 (298*2π)/4542 weeks
299.00137 .01127 (299*2π)/4542 weeks
300-.08286 .02012 (300*2π)/4542 weeks
301-.06142 .0215 (301*2π)/4542 weeks
302-.07749 .03913 (302*2π)/4542 weeks
303-.01745 .04224 (303*2π)/4541 weeks
304-.05206 .00109 (304*2π)/4541 weeks
305-.05113 -.00435 (305*2π)/4541 weeks
306-.07548 .00233 (306*2π)/4541 weeks
307-.0242 -.04202 (307*2π)/4541 weeks
308-.04594 -.0099 (308*2π)/4541 weeks
309-.05812 .00518 (309*2π)/4541 weeks
310-.01056 .01419 (310*2π)/4541 weeks
311-.02943 .06043 (311*2π)/4541 weeks
312.05695 .03097 (312*2π)/4541 weeks
313.00644 .00494 (313*2π)/4541 weeks
314-.02697 .05837 (314*2π)/4541 weeks
315.01286 .06156 (315*2π)/4541 weeks
316-.02112 .08276 (316*2π)/4541 weeks
317-.05826 -.00531 (317*2π)/4541 weeks
318-.02381 .07663 (318*2π)/4541 weeks
319-.02734 -.03942 (319*2π)/4541 weeks
320-.04566 -.00844 (320*2π)/4541 weeks
321-.00842 .03788 (321*2π)/4541 weeks
322-.04701 .073 (322*2π)/4541 weeks
323-.09214 -.05091 (323*2π)/4541 weeks
324.04082 .04149 (324*2π)/4541 weeks
325.02152 .04112 (325*2π)/4541 weeks
326-.03904 -.00249 (326*2π)/4541 weeks
327-.02901 .00173 (327*2π)/4541 weeks
328-.03378 -.03785 (328*2π)/4541 weeks
329.04096 .00814 (329*2π)/4541 weeks
330-.04934 .04817 (330*2π)/4541 weeks
331-.02295 .00101 (331*2π)/4541 weeks
332-.0784 .08499 (332*2π)/4541 weeks
333-.03029 .06601 (333*2π)/4541 weeks
334-.00175 .06014 (334*2π)/4541 weeks
335-.02993 -.0608 (335*2π)/4541 weeks
336.03426 -.04173 (336*2π)/4541 weeks
337-.02073 .08504 (337*2π)/4541 weeks
338-.08988 -.02244 (338*2π)/4541 weeks
339-.10793 .04494 (339*2π)/4541 weeks
340-.15364 -.01459 (340*2π)/4541 weeks
341-.02374 .03504 (341*2π)/4541 weeks
342.00332 .1212 (342*2π)/4541 weeks
343.04914 .01885 (343*2π)/4541 weeks
344.01127 -.01502 (344*2π)/4541 weeks
345-.09167 .02152 (345*2π)/4541 weeks
346-.13241 .02381 (346*2π)/4541 weeks
347.01163 -.00137 (347*2π)/4541 weeks
348-.01628 .03354 (348*2π)/4541 weeks
349-.10992 .0312 (349*2π)/4541 weeks
350-.09156 .06606 (350*2π)/4541 weeks
351-.0251 .10226 (351*2π)/4541 weeks
352.08007 -.01026 (352*2π)/4541 weeks
353.02254 .10513 (353*2π)/4541 weeks
354.03466 .11697 (354*2π)/4541 weeks
355-.00849 .03941 (355*2π)/4541 weeks
356-.08853 .08077 (356*2π)/4541 weeks
357-.08058 .0111 (357*2π)/4541 weeks
358-.13969 .07702 (358*2π)/4541 weeks
359-.14041 .14413 (359*2π)/4541 weeks
360-.08947 -.03057 (360*2π)/4541 weeks
361-.05321 .06923 (361*2π)/4541 weeks
362-.04312 .03288 (362*2π)/4541 weeks
363.01545 -.03322 (363*2π)/4541 weeks
364.03083 -.08736 (364*2π)/4541 weeks
365.00935 .00306 (365*2π)/4541 weeks
366-.07258 .03332 (366*2π)/4541 weeks
367.01233 .15224 (367*2π)/4541 weeks
368-.00826 .09978 (368*2π)/4541 weeks
369-.01808 .18477 (369*2π)/4541 weeks
370.0264 .16771 (370*2π)/4541 weeks
371.03208 .08108 (371*2π)/4541 weeks
372-.0456 .04283 (372*2π)/4541 weeks
373-.06532 .01604 (373*2π)/4541 weeks
374-.08207 -.02594 (374*2π)/4541 weeks
375-.13027 -.00573 (375*2π)/4541 weeks
376.01762 .05499 (376*2π)/4541 weeks
377-.11276 .05913 (377*2π)/4541 weeks
378-.13317 .0412 (378*2π)/4541 weeks
379-.15597 .0198 (379*2π)/4541 weeks
380-.10402 -.00494 (380*2π)/4541 weeks
381-.04416 .06676 (381*2π)/4541 weeks
382.08271 .09908 (382*2π)/4541 weeks
383.07923 .03645 (383*2π)/4541 weeks
384.04856 .18994 (384*2π)/4541 weeks
385-.05135 .08754 (385*2π)/4541 weeks
386.12152 .15754 (386*2π)/4541 weeks
387-.10546 .16009 (387*2π)/4541 weeks
388.00852 .13698 (388*2π)/4541 weeks
389-.19583 .16394 (389*2π)/4541 weeks
390-.19073 -.06486 (390*2π)/4541 weeks
391.05255 .19113 (391*2π)/4541 weeks
392-.16268 .04505 (392*2π)/4541 weeks
393-.15154 -.08816 (393*2π)/4541 weeks
394-.05459 .04338 (394*2π)/4541 weeks
395.07958 .02548 (395*2π)/4541 weeks
396.09827 .07245 (396*2π)/4541 weeks
397-.06007 .1845 (397*2π)/4541 weeks
398-.01796 .00576 (398*2π)/4541 weeks
399-.07278 .26566 (399*2π)/4541 weeks
400.07402 .07813 (400*2π)/4541 weeks
401.04436 .04655 (401*2π)/4541 weeks
402-.07931 .11643 (402*2π)/4541 weeks
403.12251 .11014 (403*2π)/4541 weeks
404-.02366 .22561 (404*2π)/4541 weeks
405-.05639 .1095 (405*2π)/4541 weeks
406-.0987 .18378 (406*2π)/4541 weeks
407-.00403 .24593 (407*2π)/4541 weeks
408-.05128 -.04966 (408*2π)/4541 weeks
409-.01032 .01023 (409*2π)/4541 weeks
410.03836 .10845 (410*2π)/4541 weeks
411-.02959 -.02826 (411*2π)/4541 weeks
412-.03901 .12338 (412*2π)/4541 weeks
413-.16478 .03282 (413*2π)/4541 weeks
414-.21094 .23385 (414*2π)/4541 weeks
415.2279 .24582 (415*2π)/4541 weeks
416.04281 .10899 (416*2π)/4541 weeks
417-.02064 .04487 (417*2π)/4541 weeks
418-.14176 .27087 (418*2π)/4541 weeks
419-.13392 .0783 (419*2π)/4541 weeks
420.21458 .27798 (420*2π)/4541 weeks
421-.2097 .29533 (421*2π)/4541 weeks
422-.17815 .18111 (422*2π)/4541 weeks
423.03604 .14973 (423*2π)/4541 weeks
424-.1937 .23075 (424*2π)/4541 weeks
425-.19726 .3293 (425*2π)/4541 weeks
426-.55404 .25522 (426*2π)/4541 weeks
427-.21029 .00467 (427*2π)/4541 weeks
428.09049 .01806 (428*2π)/4541 weeks
429.13444 -.14958 (429*2π)/4541 weeks
430.2814 -.21491 (430*2π)/4541 weeks
431-.04463 -.03316 (431*2π)/4541 weeks
432.25134 -.26704 (432*2π)/4541 weeks
433-.09788 .33553 (433*2π)/4541 weeks
434-.22257 .28039 (434*2π)/4541 weeks
435-.32418 .59833 (435*2π)/4541 weeks
436-.00394 .32205 (436*2π)/4541 weeks
437.14591 .44461 (437*2π)/4541 weeks
438.04297 .18512 (438*2π)/4541 weeks
439-.30769 .46995 (439*2π)/4541 weeks
440-.0751 -.2275 (440*2π)/4541 weeks
441-.2908 .53794 (441*2π)/4541 weeks
442-.45938 .46176 (442*2π)/4541 weeks
443.11138 .26117 (443*2π)/4541 weeks
444-.64463 .00217 (444*2π)/4541 weeks
445-.04933 -.07918 (445*2π)/4541 weeks
446-.47149 .76326 (446*2π)/4541 weeks
447.29872 -.23125 (447*2π)/4541 weeks
4482.04375 .06053 (448*2π)/4541 weeks
4492.02447 1.40223 (449*2π)/4541 weeks
4501.73142 1.30144 (450*2π)/4541 weeks
4512.45068 2.54832 (451*2π)/4541 weeks
452-1.42413 4.69554 (452*2π)/4541 weeks

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