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Fourier Analysis of VEURX (Vanguard European Stock Index F)


VEURX (Vanguard European Stock Index F) appears to have interesting cyclic behaviour every 73 weeks (.8252*sine), 116 weeks (.7629*sine), and 140 weeks (.7538*sine).

VEURX (Vanguard European Stock Index F) has an average price of 15.6 (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 6/18/1990 to 3/20/2017 for VEURX (Vanguard European Stock Index F), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
015.60045   0 
1-.37954 -7.8103 (1*2π)/13961,396 weeks
2-.2501 -3.72776 (2*2π)/1396698 weeks
31.93366 -4.1373 (3*2π)/1396465 weeks
4-2.18083 -1.4248 (4*2π)/1396349 weeks
5.23855 -1.27483 (5*2π)/1396279 weeks
6-.13529 -1.39753 (6*2π)/1396233 weeks
7-.92473 -.44299 (7*2π)/1396199 weeks
8.87634 .15311 (8*2π)/1396175 weeks
9.336 -1.46099 (9*2π)/1396155 weeks
10-.40275 -.75381 (10*2π)/1396140 weeks
11.2258 -.31753 (11*2π)/1396127 weeks
12.00032 -.76291 (12*2π)/1396116 weeks
13-.22637 -.63469 (13*2π)/1396107 weeks
14.34504 -.12902 (14*2π)/1396100 weeks
15.0971 -.73835 (15*2π)/139693 weeks
16-.1118 -.50543 (16*2π)/139687 weeks
17-.02924 .02117 (17*2π)/139682 weeks
18.48 -.42905 (18*2π)/139678 weeks
19-.0782 -.82519 (19*2π)/139673 weeks
20-.23908 -.40927 (20*2π)/139670 weeks
21-.00141 -.13717 (21*2π)/139666 weeks
22.10521 -.56928 (22*2π)/139663 weeks
23-.34855 -.40002 (23*2π)/139661 weeks
24-.07016 -.07384 (24*2π)/139658 weeks
25.05258 -.22601 (25*2π)/139656 weeks
26-.0966 -.16952 (26*2π)/139654 weeks
27.18257 -.24763 (27*2π)/139652 weeks
28.07617 -.16276 (28*2π)/139650 weeks
29-.11374 -.333 (29*2π)/139648 weeks
30.05313 -.12632 (30*2π)/139647 weeks
31.20503 -.19767 (31*2π)/139645 weeks
32-.02862 -.29098 (32*2π)/139644 weeks
33.00137 -.31691 (33*2π)/139642 weeks
34.01289 -.25189 (34*2π)/139641 weeks
35-.18215 -.18021 (35*2π)/139640 weeks
36-.03939 -.08714 (36*2π)/139639 weeks
37.23294 -.21762 (37*2π)/139638 weeks
38-.02107 -.24167 (38*2π)/139637 weeks
39-.02536 -.11893 (39*2π)/139636 weeks
40.01976 -.18646 (40*2π)/139635 weeks
41.09336 -.14719 (41*2π)/139634 weeks
42.01703 -.1923 (42*2π)/139633 weeks
43.02573 -.26 (43*2π)/139632 weeks
44-.09093 -.20529 (44*2π)/139632 weeks
45-.03461 -.04569 (45*2π)/139631 weeks
46.08032 -.12581 (46*2π)/139630 weeks
47-.01408 -.29534 (47*2π)/139630 weeks
48-.03597 -.04804 (48*2π)/139629 weeks
49.01502 -.24333 (49*2π)/139628 weeks
50-.06713 -.15571 (50*2π)/139628 weeks
51.00077 -.08342 (51*2π)/139627 weeks
52-.04736 -.12448 (52*2π)/139627 weeks
53.0011 -.13521 (53*2π)/139626 weeks
54.0672 -.03881 (54*2π)/139626 weeks
55-.05741 -.23432 (55*2π)/139625 weeks
56-.00751 -.08067 (56*2π)/139625 weeks
57.03125 -.05909 (57*2π)/139624 weeks
58.06901 -.17698 (58*2π)/139624 weeks
59.01013 -.12087 (59*2π)/139624 weeks
60.03577 -.19458 (60*2π)/139623 weeks
61-.03702 -.15554 (61*2π)/139623 weeks
62-.02714 -.12854 (62*2π)/139623 weeks
63.02578 -.20321 (63*2π)/139622 weeks
64-.06245 -.09363 (64*2π)/139622 weeks
65.03838 -.16181 (65*2π)/139621 weeks
66-.00041 -.24912 (66*2π)/139621 weeks
67-.16675 -.08884 (67*2π)/139621 weeks
68-.03149 -.04424 (68*2π)/139621 weeks
69.07369 -.13139 (69*2π)/139620 weeks
70-.10039 -.1423 (70*2π)/139620 weeks
71-.03863 -.05837 (71*2π)/139620 weeks
72-.06462 -.17951 (72*2π)/139619 weeks
73-.08454 -.02929 (73*2π)/139619 weeks
74-.04042 -.00909 (74*2π)/139619 weeks
75.0201 -.06791 (75*2π)/139619 weeks
76-.01003 -.13086 (76*2π)/139618 weeks
77-.0509 .00919 (77*2π)/139618 weeks
78.00738 -.06985 (78*2π)/139618 weeks
79-.00066 -.14201 (79*2π)/139618 weeks
80-.05354 -.01854 (80*2π)/139617 weeks
81.04668 -.0924 (81*2π)/139617 weeks
82-.03022 -.14031 (82*2π)/139617 weeks
83-.035 -.01928 (83*2π)/139617 weeks
84.07772 -.04723 (84*2π)/139617 weeks
85.00946 -.1681 (85*2π)/139616 weeks
86-.09844 -.10039 (86*2π)/139616 weeks
87-.06505 .02057 (87*2π)/139616 weeks
88.06001 -.08656 (88*2π)/139616 weeks
89-.03373 -.10143 (89*2π)/139616 weeks
90-.05259 -.04532 (90*2π)/139616 weeks
91.02751 -.07658 (91*2π)/139615 weeks
92-.06602 -.06637 (92*2π)/139615 weeks
93.00003 -.05103 (93*2π)/139615 weeks
94-.01733 -.03449 (94*2π)/139615 weeks
95-.00156 -.08017 (95*2π)/139615 weeks
96.0508 -.10505 (96*2π)/139615 weeks
97-.05166 -.0759 (97*2π)/139614 weeks
98-.04754 -.08803 (98*2π)/139614 weeks
99.01746 -.02448 (99*2π)/139614 weeks
100-.00939 -.08321 (100*2π)/139614 weeks
101-.0497 -.09937 (101*2π)/139614 weeks
102-.04513 -.01631 (102*2π)/139614 weeks
103.04381 -.05374 (103*2π)/139614 weeks
104.02822 -.09327 (104*2π)/139613 weeks
105-.0433 -.1491 (105*2π)/139613 weeks
106-.06175 -.05571 (106*2π)/139613 weeks
107-.03325 -.03462 (107*2π)/139613 weeks
108-.00047 -.06716 (108*2π)/139613 weeks
109-.03272 -.09467 (109*2π)/139613 weeks
110-.01524 -.05641 (110*2π)/139613 weeks
111-.033 -.03603 (111*2π)/139613 weeks
112-.01453 -.03718 (112*2π)/139612 weeks
113.06016 -.04978 (113*2π)/139612 weeks
114-.05318 -.09491 (114*2π)/139612 weeks
115.01499 -.05374 (115*2π)/139612 weeks
116.01969 -.08931 (116*2π)/139612 weeks
117-.0441 -.06569 (117*2π)/139612 weeks
118.03054 -.07126 (118*2π)/139612 weeks
119-.02809 -.08569 (119*2π)/139612 weeks
120-.08283 -.09759 (120*2π)/139612 weeks
121-.03485 -.02042 (121*2π)/139612 weeks
122-.04333 -.01153 (122*2π)/139611 weeks
123-.00067 -.0006 (123*2π)/139611 weeks
124.0183 -.03878 (124*2π)/139611 weeks
125.00075 -.05348 (125*2π)/139611 weeks
126.03286 -.01644 (126*2π)/139611 weeks
127.00983 -.10836 (127*2π)/139611 weeks
128-.01448 -.08238 (128*2π)/139611 weeks
129-.01131 -.03898 (129*2π)/139611 weeks
130.01641 -.06418 (130*2π)/139611 weeks
131-.03799 -.09189 (131*2π)/139611 weeks
132.01652 -.05217 (132*2π)/139611 weeks
133-.04135 -.08827 (133*2π)/139610 weeks
134-.03905 -.06733 (134*2π)/139610 weeks
135-.0237 -.04095 (135*2π)/139610 weeks
136-.03077 -.07222 (136*2π)/139610 weeks
137-.00241 -.02099 (137*2π)/139610 weeks
138-.02294 -.07168 (138*2π)/139610 weeks
139-.02531 -.06937 (139*2π)/139610 weeks
140-.01695 -.04049 (140*2π)/139610 weeks
141-.02222 -.07449 (141*2π)/139610 weeks
142-.05084 -.07348 (142*2π)/139610 weeks
143-.04166 -.03508 (143*2π)/139610 weeks
144-.01834 -.0122 (144*2π)/139610 weeks
145-.00805 -.03793 (145*2π)/139610 weeks
146-.01912 -.04343 (146*2π)/139610 weeks
147.01813 -.02754 (147*2π)/13969 weeks
148.00261 -.06068 (148*2π)/13969 weeks
149-.02626 -.07199 (149*2π)/13969 weeks
150-.03737 -.05336 (150*2π)/13969 weeks
151-.00819 -.06467 (151*2π)/13969 weeks
152-.0416 -.02488 (152*2π)/13969 weeks
153.00197 -.03805 (153*2π)/13969 weeks
154-.00608 -.06165 (154*2π)/13969 weeks
155-.03709 -.0554 (155*2π)/13969 weeks
156-.03236 -.01401 (156*2π)/13969 weeks
157-.00225 -.03735 (157*2π)/13969 weeks
158.00357 -.05761 (158*2π)/13969 weeks
159-.02151 -.04741 (159*2π)/13969 weeks
160-.00901 -.05689 (160*2π)/13969 weeks
161-.03256 -.02104 (161*2π)/13969 weeks
162-.01749 -.06221 (162*2π)/13969 weeks
163.00216 -.01355 (163*2π)/13969 weeks
164-.03576 -.04171 (164*2π)/13969 weeks
165-.00645 -.05759 (165*2π)/13968 weeks
166-.00452 -.01644 (166*2π)/13968 weeks
167.00872 -.03952 (167*2π)/13968 weeks
168-.00304 -.07459 (168*2π)/13968 weeks
169.00211 -.05886 (169*2π)/13968 weeks
170-.02886 -.05428 (170*2π)/13968 weeks
171-.04303 -.04488 (171*2π)/13968 weeks
172-.00825 -.02813 (172*2π)/13968 weeks
173-.00351 -.02022 (173*2π)/13968 weeks
174-.01323 -.04503 (174*2π)/13968 weeks
175-.01326 -.06864 (175*2π)/13968 weeks
176-.02568 -.02217 (176*2π)/13968 weeks
177-.03264 -.04121 (177*2π)/13968 weeks
178-.0052 -.03051 (178*2π)/13968 weeks
179.00139 -.03344 (179*2π)/13968 weeks
180-.04114 -.04317 (180*2π)/13968 weeks
181-.02617 .00592 (181*2π)/13968 weeks
182.02308 -.08561 (182*2π)/13968 weeks
183-.0496 -.04498 (183*2π)/13968 weeks
184-.02616 -.01447 (184*2π)/13968 weeks
185.00607 -.04458 (185*2π)/13968 weeks
186-.04467 -.04701 (186*2π)/13968 weeks
187-.03665 -.01017 (187*2π)/13967 weeks
188.01968 -.02186 (188*2π)/13967 weeks
189-.0198 -.07233 (189*2π)/13967 weeks
190-.02874 -.02293 (190*2π)/13967 weeks
191-.01051 -.02806 (191*2π)/13967 weeks
192.02511 -.04314 (192*2π)/13967 weeks
193-.02438 -.07635 (193*2π)/13967 weeks
194-.03258 -.0472 (194*2π)/13967 weeks
195-.05121 -.02415 (195*2π)/13967 weeks
196-.01222 .0085 (196*2π)/13967 weeks
197.00776 -.01198 (197*2π)/13967 weeks
198.01416 -.07041 (198*2π)/13967 weeks
199-.03948 -.04418 (199*2π)/13967 weeks
200-.01929 -.00023 (200*2π)/13967 weeks
201.02187 -.04461 (201*2π)/13967 weeks
202-.02055 -.07807 (202*2π)/13967 weeks
203-.03896 -.01689 (203*2π)/13967 weeks
204-.01079 -.04708 (204*2π)/13967 weeks
205-.034 -.04411 (205*2π)/13967 weeks
206-.01706 -.00934 (206*2π)/13967 weeks
207.00791 -.04695 (207*2π)/13967 weeks
208-.01803 -.06321 (208*2π)/13967 weeks
209-.02935 -.05511 (209*2π)/13967 weeks
210-.04929 -.00965 (210*2π)/13967 weeks
211-.00996 -.01737 (211*2π)/13967 weeks
212-.00555 -.04391 (212*2π)/13967 weeks
213-.0171 -.05156 (213*2π)/13967 weeks
214-.03077 -.03395 (214*2π)/13967 weeks
215-.04763 -.04899 (215*2π)/13966 weeks
216-.01951 .00337 (216*2π)/13966 weeks
217.00061 -.04235 (217*2π)/13966 weeks
218-.01905 -.04699 (218*2π)/13966 weeks
219-.05138 -.01807 (219*2π)/13966 weeks
220-.007 -.03232 (220*2π)/13966 weeks
221-.03244 -.0435 (221*2π)/13966 weeks
222-.04449 -.00339 (222*2π)/13966 weeks
223.01088 .0058 (223*2π)/13966 weeks
224-.01103 -.04924 (224*2π)/13966 weeks
225-.00599 -.01694 (225*2π)/13966 weeks
226-.00322 -.01818 (226*2π)/13966 weeks
227.00272 -.05894 (227*2π)/13966 weeks
228-.03535 -.03037 (228*2π)/13966 weeks
229-.0034 -.01041 (229*2π)/13966 weeks
230.00869 -.04341 (230*2π)/13966 weeks
231-.01215 -.05013 (231*2π)/13966 weeks
232-.02716 -.03417 (232*2π)/13966 weeks
233-.00563 -.03023 (233*2π)/13966 weeks
234-.01487 -.05369 (234*2π)/13966 weeks
235-.02262 -.03539 (235*2π)/13966 weeks
236-.02549 -.03314 (236*2π)/13966 weeks
237-.01369 -.03623 (237*2π)/13966 weeks
238-.03889 -.02583 (238*2π)/13966 weeks
239-.02307 -.01777 (239*2π)/13966 weeks
240-.01671 -.01093 (240*2π)/13966 weeks
241-.00317 -.04346 (241*2π)/13966 weeks
242.00341 -.03458 (242*2π)/13966 weeks
243-.04029 -.04575 (243*2π)/13966 weeks
244-.02429 -.03784 (244*2π)/13966 weeks
245-.01531 -.02205 (245*2π)/13966 weeks
246-.05181 -.03664 (246*2π)/13966 weeks
247-.01681 -.01695 (247*2π)/13966 weeks
248-.01902 -.00464 (248*2π)/13966 weeks
249-.03645 -.03917 (249*2π)/13966 weeks
250-.01365 .00639 (250*2π)/13966 weeks
251-.01 -.01281 (251*2π)/13966 weeks
252-.01571 -.02325 (252*2π)/13966 weeks
253-.01603 -.00738 (253*2π)/13966 weeks
254-.00232 -.00912 (254*2π)/13965 weeks
255-.01146 -.02228 (255*2π)/13965 weeks
256-.00338 -.01424 (256*2π)/13965 weeks
257-.00192 -.02098 (257*2π)/13965 weeks
258.00927 -.02985 (258*2π)/13965 weeks
259-.01117 -.02783 (259*2π)/13965 weeks
260.00053 -.05781 (260*2π)/13965 weeks
261-.01121 -.01832 (261*2π)/13965 weeks
262-.03243 -.06124 (262*2π)/13965 weeks
263-.02069 -.02087 (263*2π)/13965 weeks
264-.01831 -.00957 (264*2π)/13965 weeks
265-.01101 -.04715 (265*2π)/13965 weeks
266-.01815 -.01313 (266*2π)/13965 weeks
267.00224 -.03586 (267*2π)/13965 weeks
268-.03054 -.04386 (268*2π)/13965 weeks
269-.04328 -.01908 (269*2π)/13965 weeks
270-.01732 -.01714 (270*2π)/13965 weeks
271-.0281 -.01736 (271*2π)/13965 weeks
272-.02543 .00101 (272*2π)/13965 weeks
273.00223 -.01616 (273*2π)/13965 weeks
274-.01289 -.02658 (274*2π)/13965 weeks
275-.03029 -.01356 (275*2π)/13965 weeks
276.001 -.00458 (276*2π)/13965 weeks
277.00994 -.01951 (277*2π)/13965 weeks
278-.02551 -.04503 (278*2π)/13965 weeks
279-.01396 -.02425 (279*2π)/13965 weeks
280-.0004 -.01496 (280*2π)/13965 weeks
281-.02171 -.03823 (281*2π)/13965 weeks
282-.01651 -.03697 (282*2π)/13965 weeks
283-.01501 -.00717 (283*2π)/13965 weeks
284-.01545 -.0485 (284*2π)/13965 weeks
285-.03629 -.02451 (285*2π)/13965 weeks
286-.01868 -.00876 (286*2π)/13965 weeks
287-.01697 -.04054 (287*2π)/13965 weeks
288-.03116 -.00273 (288*2π)/13965 weeks
289.01059 -.02918 (289*2π)/13965 weeks
290-.02342 -.04515 (290*2π)/13965 weeks
291-.05777 -.03261 (291*2π)/13965 weeks
292-.0114 .00528 (292*2π)/13965 weeks
293-.02032 .00332 (293*2π)/13965 weeks
294-.01687 -.03326 (294*2π)/13965 weeks
295-.00916 .00074 (295*2π)/13965 weeks
296.00769 -.02236 (296*2π)/13965 weeks
297-.0161 -.04052 (297*2π)/13965 weeks
298-.00854 -.01983 (298*2π)/13965 weeks
299-.00387 -.04059 (299*2π)/13965 weeks
300-.05161 -.02607 (300*2π)/13965 weeks
301-.01201 -.01121 (301*2π)/13965 weeks
302-.00318 -.01979 (302*2π)/13965 weeks
303-.02562 -.02668 (303*2π)/13965 weeks
304-.01435 -.03298 (304*2π)/13965 weeks
305-.03567 -.01776 (305*2π)/13965 weeks
306-.02447 -.02339 (306*2π)/13965 weeks
307-.03255 -.02042 (307*2π)/13965 weeks
308-.02717 -.00529 (308*2π)/13965 weeks
309-.00736 -.01488 (309*2π)/13965 weeks
310-.02949 -.0153 (310*2π)/13965 weeks
311-.01666 -.00502 (311*2π)/13964 weeks
312.00187 -.02024 (312*2π)/13964 weeks
313-.03185 -.04623 (313*2π)/13964 weeks
314-.04755 -.00509 (314*2π)/13964 weeks
315-.01345 .00777 (315*2π)/13964 weeks
316-.01244 -.01146 (316*2π)/13964 weeks
317-.0131 -.01012 (317*2π)/13964 weeks
318-.00454 -.0012 (318*2π)/13964 weeks
319-.0095 -.02666 (319*2π)/13964 weeks
320-.00266 -.02056 (320*2π)/13964 weeks
321-.00638 -.01229 (321*2π)/13964 weeks
322-.01272 -.06083 (322*2π)/13964 weeks
323-.02633 -.00648 (323*2π)/13964 weeks
324-.0238 -.03589 (324*2π)/13964 weeks
325-.02333 -.02235 (325*2π)/13964 weeks
326-.01518 -.00119 (326*2π)/13964 weeks
327-.01733 -.03877 (327*2π)/13964 weeks
328-.01214 -.01447 (328*2π)/13964 weeks
329-.03516 -.00918 (329*2π)/13964 weeks
330.01562 -.01188 (330*2π)/13964 weeks
331.00043 -.02573 (331*2π)/13964 weeks
332-.02946 -.04464 (332*2π)/13964 weeks
333-.02272 -.01444 (333*2π)/13964 weeks
334-.0192 -.03608 (334*2π)/13964 weeks
335-.02708 -.00162 (335*2π)/13964 weeks
336-.0203 -.03184 (336*2π)/13964 weeks
337-.04204 -.01961 (337*2π)/13964 weeks
338-.01618 .0153 (338*2π)/13964 weeks
339-.0173 -.0225 (339*2π)/13964 weeks
340-.02771 -.00002 (340*2π)/13964 weeks
341.00794 .0023 (341*2π)/13964 weeks
342-.00386 -.01943 (342*2π)/13964 weeks
343-.01059 -.01142 (343*2π)/13964 weeks
344.00346 -.02142 (344*2π)/13964 weeks
345-.01156 -.03241 (345*2π)/13964 weeks
346-.02482 -.02935 (346*2π)/13964 weeks
347-.01439 -.00925 (347*2π)/13964 weeks
348-.01127 -.02926 (348*2π)/13964 weeks
349-.02591 -.03531 (349*2π)/13964 weeks
350-.03617 -.01206 (350*2π)/13964 weeks
351-.02234 -.0015 (351*2π)/13964 weeks
352-.01033 -.01768 (352*2π)/13964 weeks
353-.02311 -.01907 (353*2π)/13964 weeks
354-.02588 -.01102 (354*2π)/13964 weeks
355-.02772 -.00423 (355*2π)/13964 weeks
356-.01501 -.00884 (356*2π)/13964 weeks
357-.01946 -.00169 (357*2π)/13964 weeks
358.00553 .00564 (358*2π)/13964 weeks
359-.00253 -.03379 (359*2π)/13964 weeks
360-.03366 -.02553 (360*2π)/13964 weeks
361-.01591 -.00211 (361*2π)/13964 weeks
362-.00836 -.00973 (362*2π)/13964 weeks
363.00647 -.02564 (363*2π)/13964 weeks
364-.01901 -.0273 (364*2π)/13964 weeks
365-.02677 -.00844 (365*2π)/13964 weeks
366.00391 -.00516 (366*2π)/13964 weeks
367-.0096 -.02856 (367*2π)/13964 weeks
368-.00995 -.01968 (368*2π)/13964 weeks
369-.02257 -.0254 (369*2π)/13964 weeks
370-.01987 -.01348 (370*2π)/13964 weeks
371-.01221 -.0209 (371*2π)/13964 weeks
372-.02623 -.02039 (372*2π)/13964 weeks
373-.01889 -.00564 (373*2π)/13964 weeks
374-.02805 -.02429 (374*2π)/13964 weeks
375-.02348 -.00246 (375*2π)/13964 weeks
376-.0139 .00078 (376*2π)/13964 weeks
377-.00079 -.01185 (377*2π)/13964 weeks
378-.00916 -.01585 (378*2π)/13964 weeks
379-.01545 -.01587 (379*2π)/13964 weeks
380-.0135 -.02148 (380*2π)/13964 weeks
381-.02179 .00122 (381*2π)/13964 weeks
382-.0107 -.01529 (382*2π)/13964 weeks
383.00251 -.01262 (383*2π)/13964 weeks
384-.01749 -.03627 (384*2π)/13964 weeks
385-.02817 -.00951 (385*2π)/13964 weeks
386-.00865 -.01235 (386*2π)/13964 weeks
387-.0111 -.0261 (387*2π)/13964 weeks
388-.0229 -.01474 (388*2π)/13964 weeks
389-.02276 -.02628 (389*2π)/13964 weeks
390-.01921 -.0097 (390*2π)/13964 weeks
391-.00642 -.02106 (391*2π)/13964 weeks
392-.02936 -.02007 (392*2π)/13964 weeks
393-.01754 -.00619 (393*2π)/13964 weeks
394-.01872 -.03353 (394*2π)/13964 weeks
395-.01855 -.01536 (395*2π)/13964 weeks
396-.03584 -.01973 (396*2π)/13964 weeks
397-.01935 -.00673 (397*2π)/13964 weeks
398-.0173 -.00872 (398*2π)/13964 weeks
399-.0221 -.01816 (399*2π)/13963 weeks
400-.02439 -.00398 (400*2π)/13963 weeks
401-.01693 .00029 (401*2π)/13963 weeks
402.00801 -.01412 (402*2π)/13963 weeks
403-.02171 -.03578 (403*2π)/13963 weeks
404-.03567 -.00305 (404*2π)/13963 weeks
405-.01518 .00314 (405*2π)/13963 weeks
406-.01518 -.01438 (406*2π)/13963 weeks
407-.01853 -.01228 (407*2π)/13963 weeks
408-.01582 -.01671 (408*2π)/13963 weeks
409-.02759 .00278 (409*2π)/13963 weeks
410-.00547 -.00699 (410*2π)/13963 weeks
411-.01429 -.02816 (411*2π)/13963 weeks
412-.02183 -.00407 (412*2π)/13963 weeks
413-.02334 -.01576 (413*2π)/13963 weeks
414-.01331 -.01681 (414*2π)/13963 weeks
415-.02854 -.00573 (415*2π)/13963 weeks
416-.02589   (416*2π)/13963 weeks
417-.00896 .00547 (417*2π)/13963 weeks
418-.01089 -.00778 (418*2π)/13963 weeks
419-.00843 -.01763 (419*2π)/13963 weeks
420-.02179 -.01494 (420*2π)/13963 weeks
421-.03043 -.01645 (421*2π)/13963 weeks
422-.02472 -.01031 (422*2π)/13963 weeks
423-.01052 .01147 (423*2π)/13963 weeks
424-.00245 -.01246 (424*2π)/13963 weeks
425-.01789 -.0224 (425*2π)/13963 weeks
426-.02588 .00557 (426*2π)/13963 weeks
427-.00535 -.01847 (427*2π)/13963 weeks
428-.01691 -.01047 (428*2π)/13963 weeks
429-.0137 -.00769 (429*2π)/13963 weeks
430-.00664 -.02114 (430*2π)/13963 weeks
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