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Fourier Analysis of VEUSX (Vanguard European Stock Index F)


VEUSX (Vanguard European Stock Index F) appears to have interesting cyclic behaviour every 74 weeks (2.7236*sine), 63 weeks (2.0123*sine), and 45 weeks (.7288*cosine).

VEUSX (Vanguard European Stock Index F) has an average price of 47.28 (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 8/13/2001 to 3/20/2017 for VEUSX (Vanguard European Stock Index F), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
047.28168   0 
1-2.17458 -9.05109 (1*2π)/814814 weeks
2-2.88428 -13.24665 (2*2π)/814407 weeks
31.59727 -2.33849 (3*2π)/814271 weeks
4-3.2151 -1.03089 (4*2π)/814204 weeks
54.41589 -2.66471 (5*2π)/814163 weeks
6-.85269 -.56718 (6*2π)/814136 weeks
7.68036 -2.04837 (7*2π)/814116 weeks
8.33782 .32664 (8*2π)/814102 weeks
9-.21231 -1.90675 (9*2π)/81490 weeks
10.28315 .56543 (10*2π)/81481 weeks
11.11349 -2.72355 (11*2π)/81474 weeks
12-.65221 -.3343 (12*2π)/81468 weeks
13-.14343 -2.01228 (13*2π)/81463 weeks
14-.29778 .21171 (14*2π)/81458 weeks
15-.25305 -.39794 (15*2π)/81454 weeks
16.34511 -.61024 (16*2π)/81451 weeks
17-.24955 -.75989 (17*2π)/81448 weeks
18.7288 -.5465 (18*2π)/81445 weeks
19.02383 -.80123 (19*2π)/81443 weeks
20-.20307 -.82849 (20*2π)/81441 weeks
21-.03287 .17819 (21*2π)/81439 weeks
22.10204 -.9839 (22*2π)/81437 weeks
23.13833 -.37041 (23*2π)/81435 weeks
24.30513 -.46463 (24*2π)/81434 weeks
25.16303 -.70299 (25*2π)/81433 weeks
26-.33851 -.19544 (26*2π)/81431 weeks
27.45725 -.54509 (27*2π)/81430 weeks
28-.12685 -.06924 (28*2π)/81429 weeks
29-.37913 -.52282 (29*2π)/81428 weeks
30-.08194 -.29125 (30*2π)/81427 weeks
31-.14086 -.19308 (31*2π)/81426 weeks
32.00002 -.66961 (32*2π)/81425 weeks
33.0635 -.10945 (33*2π)/81425 weeks
34.14833 -.55192 (34*2π)/81424 weeks
35.18354 -.60384 (35*2π)/81423 weeks
36-.04733 -.3357 (36*2π)/81423 weeks
37-.14553 -.56713 (37*2π)/81422 weeks
38.25143 -.49159 (38*2π)/81421 weeks
39-.5924 -.4246 (39*2π)/81421 weeks
40.1945 -.18978 (40*2π)/81420 weeks
41-.40775 -.33255 (41*2π)/81420 weeks
42-.25166 -.5506 (42*2π)/81419 weeks
43-.12208 -.00649 (43*2π)/81419 weeks
44.14483 -.32849 (44*2π)/81419 weeks
45-.07608 .01671 (45*2π)/81418 weeks
46.02177 -.41927 (46*2π)/81418 weeks
47.16129 -.03087 (47*2π)/81417 weeks
48-.22495 -.32049 (48*2π)/81417 weeks
49.33957 -.16567 (49*2π)/81417 weeks
50-.28762 -.48267 (50*2π)/81416 weeks
51.151 .08371 (51*2π)/81416 weeks
52-.1546 -.33123 (52*2π)/81416 weeks
53.10887 -.19496 (53*2π)/81415 weeks
54-.07116 -.06413 (54*2π)/81415 weeks
55.02555 -.11424 (55*2π)/81415 weeks
56.10599 -.32895 (56*2π)/81415 weeks
57-.13127 -.20006 (57*2π)/81414 weeks
58.11047 -.15438 (58*2π)/81414 weeks
59-.18247 -.2382 (59*2π)/81414 weeks
60.19101 -.06932 (60*2π)/81414 weeks
61.05614 -.45337 (61*2π)/81413 weeks
62-.15613 -.08105 (62*2π)/81413 weeks
63.07324 -.15764 (63*2π)/81413 weeks
64-.092 -.12315 (64*2π)/81413 weeks
65-.06564 -.04816 (65*2π)/81413 weeks
66.20031 -.21604 (66*2π)/81412 weeks
67.00911 -.01932 (67*2π)/81412 weeks
68-.11696 -.24791 (68*2π)/81412 weeks
69.05326 -.25767 (69*2π)/81412 weeks
70-.27407 -.22471 (70*2π)/81412 weeks
71-.12168 -.02382 (71*2π)/81411 weeks
72.10946 .0049 (72*2π)/81411 weeks
73.00924 -.09809 (73*2π)/81411 weeks
74.15682 -.32921 (74*2π)/81411 weeks
75-.04095 -.1744 (75*2π)/81411 weeks
76.09981 -.31029 (76*2π)/81411 weeks
77.08731 -.17626 (77*2π)/81411 weeks
78-.11708 -.18442 (78*2π)/81410 weeks
79-.01629 -.15459 (79*2π)/81410 weeks
80.03884 -.07063 (80*2π)/81410 weeks
81-.07763 -.1631 (81*2π)/81410 weeks
82.00562 -.16251 (82*2π)/81410 weeks
83-.17497 -.13265 (83*2π)/81410 weeks
84-.03829 .005 (84*2π)/81410 weeks
85-.03597 -.09902 (85*2π)/81410 weeks
86.10403 -.13872 (86*2π)/8149 weeks
87-.06095 -.21742 (87*2π)/8149 weeks
88-.013 -.16346 (88*2π)/8149 weeks
89.01502 -.01395 (89*2π)/8149 weeks
90-.02152 -.18557 (90*2π)/8149 weeks
91-.05454 .00378 (91*2π)/8149 weeks
92.05397 -.13118 (92*2π)/8149 weeks
93-.00639 -.11509 (93*2π)/8149 weeks
94-.03149 -.05118 (94*2π)/8149 weeks
95-.02406 -.03993 (95*2π)/8149 weeks
96-.02963 -.07822 (96*2π)/8148 weeks
97.01943 -.01339 (97*2π)/8148 weeks
98-.00134 -.17848 (98*2π)/8148 weeks
99-.06893 -.19184 (99*2π)/8148 weeks
100-.1031 -.05207 (100*2π)/8148 weeks
101-.00345 -.08535 (101*2π)/8148 weeks
102-.05141 -.19022 (102*2π)/8148 weeks
103-.05318 -.09408 (103*2π)/8148 weeks
104.00181 -.06352 (104*2π)/8148 weeks
105-.12606 -.14496 (105*2π)/8148 weeks
106.16542 -.15607 (106*2π)/8148 weeks
107-.13375 -.02738 (107*2π)/8148 weeks
108.02447 -.15661 (108*2π)/8148 weeks
109-.09849 .02296 (109*2π)/8147 weeks
110.07535 -.19806 (110*2π)/8147 weeks
111-.01826 -.02051 (111*2π)/8147 weeks
112.12827 -.11806 (112*2π)/8147 weeks
113-.10778 -.12166 (113*2π)/8147 weeks
114-.12254 .0655 (114*2π)/8147 weeks
115.11136 -.02291 (115*2π)/8147 weeks
116-.14018 -.14732 (116*2π)/8147 weeks
117.10275 -.02105 (117*2π)/8147 weeks
118-.14673 -.18181 (118*2π)/8147 weeks
119.00366 -.12812 (119*2π)/8147 weeks
120-.06589 -.00152 (120*2π)/8147 weeks
121.01394 -.19012 (121*2π)/8147 weeks
122-.134 -.16166 (122*2π)/8147 weeks
123.022 -.0115 (123*2π)/8147 weeks
124-.00133 -.15056 (124*2π)/8147 weeks
125-.05284 -.11826 (125*2π)/8147 weeks
126-.0208 .0643 (126*2π)/8146 weeks
127-.038 -.13998 (127*2π)/8146 weeks
128-.05234 .01976 (128*2π)/8146 weeks
129-.13582 -.08989 (129*2π)/8146 weeks
130.06938 .07937 (130*2π)/8146 weeks
131-.04991 -.03541 (131*2π)/8146 weeks
132.06046 -.05864 (132*2π)/8146 weeks
133-.12516 -.05308 (133*2π)/8146 weeks
134.06207 -.09222 (134*2π)/8146 weeks
135-.06724 -.13212 (135*2π)/8146 weeks
136.02233 -.0952 (136*2π)/8146 weeks
137-.06983 -.09942 (137*2π)/8146 weeks
138-.0393 -.07624 (138*2π)/8146 weeks
139-.09953 -.02853 (139*2π)/8146 weeks
140-.00694 -.00464 (140*2π)/8146 weeks
141-.00346 -.10143 (141*2π)/8146 weeks
142-.12031 -.09397 (142*2π)/8146 weeks
143-.07125 -.10322 (143*2π)/8146 weeks
144-.09485 .00136 (144*2π)/8146 weeks
145-.05525 -.06703 (145*2π)/8146 weeks
146-.00232 .05498 (146*2π)/8146 weeks
147-.0344 -.0172 (147*2π)/8146 weeks
148.02034 .02966 (148*2π)/8146 weeks
149-.00403 .00336 (149*2π)/8145 weeks
150.0401 -.01279 (150*2π)/8145 weeks
151.01558 -.05373 (151*2π)/8145 weeks
152-.05313 -.08127 (152*2π)/8145 weeks
153-.12687 -.11337 (153*2π)/8145 weeks
154-.02349 -.02297 (154*2π)/8145 weeks
155-.09563 -.04502 (155*2π)/8145 weeks
156-.04357 -.16692 (156*2π)/8145 weeks
157-.12109 -.02096 (157*2π)/8145 weeks
158-.09373 -.0512 (158*2π)/8145 weeks
159.01279 .01587 (159*2π)/8145 weeks
160-.06406 -.06743 (160*2π)/8145 weeks
161.02516 .02551 (161*2π)/8145 weeks
162-.01557 -.1313 (162*2π)/8145 weeks
163-.00325 -.02505 (163*2π)/8145 weeks
164-.02969 -.10023 (164*2π)/8145 weeks
165-.02826 -.02115 (165*2π)/8145 weeks
166-.11506 -.10951 (166*2π)/8145 weeks
167.00487 -.04187 (167*2π)/8145 weeks
168-.06765 .03716 (168*2π)/8145 weeks
169-.03854 -.16063 (169*2π)/8145 weeks
170-.14308 .03853 (170*2π)/8145 weeks
171-.01098 -.00074 (171*2π)/8145 weeks
172-.04504 .03444 (172*2π)/8145 weeks
173-.00965 -.11762 (173*2π)/8145 weeks
174.00857 -.05593 (174*2π)/8145 weeks
175-.16075 -.04531 (175*2π)/8145 weeks
176-.00884 -.05717 (176*2π)/8145 weeks
177-.05158 -.06947 (177*2π)/8145 weeks
178-.10453 -.03657 (178*2π)/8145 weeks
179-.11415 -.04739 (179*2π)/8145 weeks
180-.02953 .00198 (180*2π)/8145 weeks
181-.08945 .00004 (181*2π)/8144 weeks
182.02126 -.06751 (182*2π)/8144 weeks
183-.18668 -.00561 (183*2π)/8144 weeks
184-.01378 .01873 (184*2π)/8144 weeks
185-.03692 .01853 (185*2π)/8144 weeks
186.0045 -.03945 (186*2π)/8144 weeks
187-.00209 -.01779 (187*2π)/8144 weeks
188-.11544 -.12054 (188*2π)/8144 weeks
189-.04924 -.09148 (189*2π)/8144 weeks
190-.03685 .00872 (190*2π)/8144 weeks
191-.06861 -.05193 (191*2π)/8144 weeks
192-.06669 .03358 (192*2π)/8144 weeks
193.01446 -.10806 (193*2π)/8144 weeks
194-.11755 -.04627 (194*2π)/8144 weeks
195-.12901 -.07993 (195*2π)/8144 weeks
196-.06287 -.10855 (196*2π)/8144 weeks
197-.07881 .06648 (197*2π)/8144 weeks
198-.10684 -.02997 (198*2π)/8144 weeks
199.04557 -.0074 (199*2π)/8144 weeks
200-.01997 -.01971 (200*2π)/8144 weeks
201-.00612 -.10232 (201*2π)/8144 weeks
202-.08793 -.04868 (202*2π)/8144 weeks
203-.02692 -.10259 (203*2π)/8144 weeks
204-.1327 -.04954 (204*2π)/8144 weeks
205-.026 -.01296 (205*2π)/8144 weeks
206-.08334 -.04438 (206*2π)/8144 weeks
207-.08152 .00751 (207*2π)/8144 weeks
208-.06544 -.00114 (208*2π)/8144 weeks
209.06665 -.0261 (209*2π)/8144 weeks
210-.11267 -.0399 (210*2π)/8144 weeks
211-.0136 .00081 (211*2π)/8144 weeks
212-.0224 -.1029 (212*2π)/8144 weeks
213-.06409 .02115 (213*2π)/8144 weeks
214-.02286 -.08994 (214*2π)/8144 weeks
215-.04961 -.08961 (215*2π)/8144 weeks
216-.04156 -.03505 (216*2π)/8144 weeks
217-.09721 -.05225 (217*2π)/8144 weeks
218-.06744 -.0679 (218*2π)/8144 weeks
219-.04783 .02194 (219*2π)/8144 weeks
220.00906 -.03436 (220*2π)/8144 weeks
221-.0283 -.03642 (221*2π)/8144 weeks
222-.07448 -.01226 (222*2π)/8144 weeks
223-.01456 -.02319 (223*2π)/8144 weeks
224-.06753 -.12272 (224*2π)/8144 weeks
225-.01387 -.02131 (225*2π)/8144 weeks
226-.06153 -.0726 (226*2π)/8144 weeks
227-.07379 -.06386 (227*2π)/8144 weeks
228-.00705 -.06962 (228*2π)/8144 weeks
229-.05928 -.00364 (229*2π)/8144 weeks
230-.08035 -.0699 (230*2π)/8144 weeks
231-.11222 -.04573 (231*2π)/8144 weeks
232-.04712 -.02817 (232*2π)/8144 weeks
233-.08635 -.02812 (233*2π)/8143 weeks
234-.01668 .02232 (234*2π)/8143 weeks
235-.07719 -.13284 (235*2π)/8143 weeks
236-.05782 .02339 (236*2π)/8143 weeks
237-.05234 -.04539 (237*2π)/8143 weeks
238-.06494 -.05647 (238*2π)/8143 weeks
239.00982 .00464 (239*2π)/8143 weeks
240-.07964 -.04601 (240*2π)/8143 weeks
241-.05325 -.03704 (241*2π)/8143 weeks
242-.09275 -.03063 (242*2π)/8143 weeks
243-.03772 .02682 (243*2π)/8143 weeks
244-.01205 -.03766 (244*2π)/8143 weeks
245-.06678 -.06147 (245*2π)/8143 weeks
246-.09378 -.01458 (246*2π)/8143 weeks
247.01479 .00694 (247*2π)/8143 weeks
248-.09267 -.05221 (248*2π)/8143 weeks
249-.00259 -.04125 (249*2π)/8143 weeks
250-.03918 -.01122 (250*2π)/8143 weeks
251-.06248 -.07932 (251*2π)/8143 weeks
252-.04688 -.02032 (252*2π)/8143 weeks
253-.03744 -.03119 (253*2π)/8143 weeks
254-.01736 -.00697 (254*2π)/8143 weeks
255.01815 -.08516 (255*2π)/8143 weeks
256-.0577 -.1021 (256*2π)/8143 weeks
257-.05544 -.09128 (257*2π)/8143 weeks
258-.02791 .00181 (258*2π)/8143 weeks
259-.06475 -.12473 (259*2π)/8143 weeks
260-.02059 .01108 (260*2π)/8143 weeks
261-.08617 .00045 (261*2π)/8143 weeks
262.00786 -.01503 (262*2π)/8143 weeks
263-.05704 .02662 (263*2π)/8143 weeks
264-.0046 -.09238 (264*2π)/8143 weeks
265-.08433 .00651 (265*2π)/8143 weeks
266-.0314 -.03783 (266*2π)/8143 weeks
267-.0166 -.00184 (267*2π)/8143 weeks
268-.05628 -.03192 (268*2π)/8143 weeks
269-.03066 -.01958 (269*2π)/8143 weeks
270-.0505 -.06564 (270*2π)/8143 weeks
271-.03794 -.01888 (271*2π)/8143 weeks
272-.04163 .0259 (272*2π)/8143 weeks
273-.02581 -.01875 (273*2π)/8143 weeks
274-.04125 -.01959 (274*2π)/8143 weeks
275-.01383 -.06448 (275*2π)/8143 weeks
276-.01188 .0214 (276*2π)/8143 weeks
277-.03625 -.07393 (277*2π)/8143 weeks
278-.03705 -.04757 (278*2π)/8143 weeks
279-.02086 -.00278 (279*2π)/8143 weeks
280-.11041 -.075 (280*2π)/8143 weeks
281-.0161 .01172 (281*2π)/8143 weeks
282-.01821 -.01234 (282*2π)/8143 weeks
283-.02335 -.03473 (283*2π)/8143 weeks
284-.03768 .01416 (284*2π)/8143 weeks
285.02337 -.09862 (285*2π)/8143 weeks
286-.05029 -.03451 (286*2π)/8143 weeks
287-.09681 -.0085 (287*2π)/8143 weeks
288-.00165 -.07583 (288*2π)/8143 weeks
289-.15112 .03614 (289*2π)/8143 weeks
290.00995 -.00065 (290*2π)/8143 weeks
291-.01384 .00118 (291*2π)/8143 weeks
292-.03803 -.04455 (292*2π)/8143 weeks
293-.04301 .02161 (293*2π)/8143 weeks
294-.03255 -.02837 (294*2π)/8143 weeks
295-.03638 -.02426 (295*2π)/8143 weeks
296.02192 .02687 (296*2π)/8143 weeks
297-.07885 -.08231 (297*2π)/8143 weeks
298-.02116 .01052 (298*2π)/8143 weeks
299-.00727 .02795 (299*2π)/8143 weeks
300-.05338 -.09124 (300*2π)/8143 weeks
301-.04357 .03939 (301*2π)/8143 weeks
302-.0173 -.00949 (302*2π)/8143 weeks
303-.04383 -.06005 (303*2π)/8143 weeks
304-.06844 .03482 (304*2π)/8143 weeks
305-.05594 -.05451 (305*2π)/8143 weeks
306-.09398 .02756 (306*2π)/8143 weeks
307-.01302 -.07379 (307*2π)/8143 weeks
308-.02134 .02882 (308*2π)/8143 weeks
309-.06323 -.07349 (309*2π)/8143 weeks
310-.00338 .01867 (310*2π)/8143 weeks
311-.06323 -.04982 (311*2π)/8143 weeks
312-.0347 .01861 (312*2π)/8143 weeks
313-.08598 -.0187 (313*2π)/8143 weeks
314-.01508 -.03694 (314*2π)/8143 weeks
315-.04264 .01116 (315*2π)/8143 weeks
316.03265 -.04314 (316*2π)/8143 weeks
317-.10262 -.04401 (317*2π)/8143 weeks
318-.00554 .04252 (318*2π)/8143 weeks
319-.08421 .00872 (319*2π)/8143 weeks
320-.03398 -.05636 (320*2π)/8143 weeks
321-.06016 .02685 (321*2π)/8143 weeks
322-.01468 -.04111 (322*2π)/8143 weeks
323-.0625 -.00532 (323*2π)/8143 weeks
324.00392 -.02997 (324*2π)/8143 weeks
325-.04549 -.0249 (325*2π)/8143 weeks
326-.05343 .00761 (326*2π)/8142 weeks
327-.03829 -.06487 (327*2π)/8142 weeks
328-.03887 .04212 (328*2π)/8142 weeks
329-.01839 -.02119 (329*2π)/8142 weeks
330-.03285 .00987 (330*2π)/8142 weeks
331-.03719 .01531 (331*2π)/8142 weeks
332-.01113 -.04043 (332*2π)/8142 weeks
333-.07752 .03695 (333*2π)/8142 weeks
334-.0156 -.0174 (334*2π)/8142 weeks
335-.02352 -.02867 (335*2π)/8142 weeks
336-.03671 .02249 (336*2π)/8142 weeks
337-.05749 .00513 (337*2π)/8142 weeks
338.01332 -.10128 (338*2π)/8142 weeks
339-.10138 .01493 (339*2π)/8142 weeks
340-.0552 -.04627 (340*2π)/8142 weeks
341-.0335 -.00898 (341*2π)/8142 weeks
342-.0507 .02938 (342*2π)/8142 weeks
343-.06928 .00398 (343*2π)/8142 weeks
344-.04112 .01965 (344*2π)/8142 weeks
345-.03387 .01366 (345*2π)/8142 weeks
346-.05485 -.00603 (346*2π)/8142 weeks
347-.04229 .03004 (347*2π)/8142 weeks
348-.07376 .00841 (348*2π)/8142 weeks
349-.03087 -.01764 (349*2π)/8142 weeks
350-.0619 .04368 (350*2π)/8142 weeks
351-.05669 .00658 (351*2π)/8142 weeks
352-.01791 .03152 (352*2π)/8142 weeks
353-.07598 .02498 (353*2π)/8142 weeks
354.04632 .02605 (354*2π)/8142 weeks
355-.02677 -.02376 (355*2π)/8142 weeks
356-.04882 -.04474 (356*2π)/8142 weeks
357-.01574 .02715 (357*2π)/8142 weeks
358-.0196 -.03202 (358*2π)/8142 weeks
359-.05379   (359*2π)/8142 weeks
360-.05015 .02571 (360*2π)/8142 weeks
361-.02016 -.00721 (361*2π)/8142 weeks
362-.05064 .00991 (362*2π)/8142 weeks
363.00427 .01913 (363*2π)/8142 weeks
364-.03449 -.03095 (364*2π)/8142 weeks
365-.03839 .02201 (365*2π)/8142 weeks
366-.03694 -.07074 (366*2π)/8142 weeks
367-.0752 .0238 (367*2π)/8142 weeks
368-.08983 .01205 (368*2π)/8142 weeks
369.01187 .03231 (369*2π)/8142 weeks
370-.06063 .01346 (370*2π)/8142 weeks
371-.01615 .01947 (371*2π)/8142 weeks
372-.07433 .02207 (372*2π)/8142 weeks
373-.03979 -.01208 (373*2π)/8142 weeks
374-.0751 .03899 (374*2π)/8142 weeks
375-.02611 -.06309 (375*2π)/8142 weeks
376-.00557 .02706 (376*2π)/8142 weeks
377-.02077 -.01618 (377*2π)/8142 weeks
378-.00588 -.0408 (378*2π)/8142 weeks
379-.11297 .0151 (379*2π)/8142 weeks
380.02357 -.00694 (380*2π)/8142 weeks
381-.07279 -.01653 (381*2π)/8142 weeks
382-.02295 .00264 (382*2π)/8142 weeks
383-.03814 -.03983 (383*2π)/8142 weeks
384-.10422 -.03026 (384*2π)/8142 weeks
385-.06885 .04296 (385*2π)/8142 weeks
386-.057 -.01893 (386*2π)/8142 weeks
387-.07915 .05374 (387*2π)/8142 weeks
388-.05169 -.00631 (388*2π)/8142 weeks
389-.02236 .09134 (389*2π)/8142 weeks
390-.02733 .06783 (390*2π)/8142 weeks
391-.0466 .00231 (391*2π)/8142 weeks
392-.00785 .02731 (392*2π)/8142 weeks
393-.03587 .03294 (393*2π)/8142 weeks
394-.03436 -.02973 (394*2π)/8142 weeks
395-.03043 -.02038 (395*2π)/8142 weeks
396-.11902 .0581 (396*2π)/8142 weeks
397.01234 -.03631 (397*2π)/8142 weeks
398-.1066 .0281 (398*2π)/8142 weeks
399-.01127 -.01306 (399*2π)/8142 weeks
400-.02865 -.00728 (400*2π)/8142 weeks
401-.04763 .02689 (401*2π)/8142 weeks
402-.03982 .02623 (402*2π)/8142 weeks
403-.03735 -.0273 (403*2π)/8142 weeks
404-.07662 -.01124 (404*2π)/8142 weeks
405-.07304 -.01777 (405*2π)/8142 weeks
406-.01515 -.00706 (406*2π)/8142 weeks
407-.11231   (407*2π)/8142 weeks
408-.01515 .00706 (408*2π)/8142 weeks
409-.07304 .01777 (409*2π)/8142 weeks
410-.07662 .01124 (410*2π)/8142 weeks
411-.03735 .0273 (411*2π)/8142 weeks
412-.03982 -.02623 (412*2π)/8142 weeks
413-.04763 -.02689 (413*2π)/8142 weeks
414-.02865 .00728 (414*2π)/8142 weeks
415-.01127 .01306 (415*2π)/8142 weeks
416-.1066 -.0281 (416*2π)/8142 weeks
417.01234 .03631 (417*2π)/8142 weeks
418-.11902 -.0581 (418*2π)/8142 weeks
419-.03043 .02038 (419*2π)/8142 weeks
420-.03436 .02973 (420*2π)/8142 weeks
421-.03587 -.03294 (421*2π)/8142 weeks
422-.00785 -.02731 (422*2π)/8142 weeks
423-.0466 -.00231 (423*2π)/8142 weeks
424-.02733 -.06783 (424*2π)/8142 weeks
425-.02236 -.09134 (425*2π)/8142 weeks
426-.05169 .00631 (426*2π)/8142 weeks
427-.07915 -.05374 (427*2π)/8142 weeks
428-.057 .01893 (428*2π)/8142 weeks
429-.06885 -.04296 (429*2π)/8142 weeks
430-.10422 .03026 (430*2π)/8142 weeks
431-.03814 .03983 (431*2π)/8142 weeks
432-.02295 -.00264 (432*2π)/8142 weeks
433-.07279 .01653 (433*2π)/8142 weeks
434.02357 .00694 (434*2π)/8142 weeks
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