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# Fourier Analysis of VTRIX (Vanguard International Value Fu)

VTRIX (Vanguard International Value Fu) appears to have interesting cyclic behaviour every 147 weeks (1.1127*sine), 160 weeks (.9256*sine), and 177 weeks (.9228*cosine).

VTRIX (Vanguard International Value Fu) has an average price of 16.77 (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.

## Fourier Analysis

Using data from 5/16/1983 to 3/13/2017 for VTRIX (Vanguard International Value Fu), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
016.77474   0
12.6998 -10.07003 (1*2π)/17651,765 weeks
2-.32754 -4.24276 (2*2π)/1765883 weeks
3.64417 -1.58173 (3*2π)/1765588 weeks
4.11885 -4.10853 (4*2π)/1765441 weeks
5-2.11733 -2.05095 (5*2π)/1765353 weeks
6.03339 -.90433 (6*2π)/1765294 weeks
7-.08529 -1.69976 (7*2π)/1765252 weeks
8-.29537 -1.41978 (8*2π)/1765221 weeks
9-.44252 -.22322 (9*2π)/1765196 weeks
10.92281 .36024 (10*2π)/1765177 weeks
11.6848 -.92559 (11*2π)/1765160 weeks
12-.2126 -1.11266 (12*2π)/1765147 weeks
13-.36638 -.37713 (13*2π)/1765136 weeks
14.1466 -.55003 (14*2π)/1765126 weeks
15.3076 -.70741 (15*2π)/1765118 weeks
16.07575 -.7911 (16*2π)/1765110 weeks
17-.17974 -.12455 (17*2π)/1765104 weeks
18.37656 -.31398 (18*2π)/176598 weeks
19.16582 -.7499 (19*2π)/176593 weeks
20-.27491 -.54155 (20*2π)/176588 weeks
21-.22547 -.36652 (21*2π)/176584 weeks
22.09886 -.20843 (22*2π)/176580 weeks
23.47238 -.68263 (23*2π)/176577 weeks
24-.01166 -.77658 (24*2π)/176574 weeks
25-.1325 -.40218 (25*2π)/176571 weeks
26-.22209 -.17666 (26*2π)/176568 weeks
27.13742 -.13827 (27*2π)/176565 weeks
28-.04803 -.64592 (28*2π)/176563 weeks
29-.3594 -.56954 (29*2π)/176561 weeks
30-.18228 -.17249 (30*2π)/176559 weeks
31.11156 -.23823 (31*2π)/176557 weeks
32.00936 -.21288 (32*2π)/176555 weeks
33-.02111 -.14217 (33*2π)/176553 weeks
34.1213 -.04258 (34*2π)/176552 weeks
35-.09512 -.25071 (35*2π)/176550 weeks
36.01888 -.28103 (36*2π)/176549 weeks
37-.14228 -.27794 (37*2π)/176548 weeks
38.05206 -.10647 (38*2π)/176546 weeks
39.23107 -.19933 (39*2π)/176545 weeks
40.107 -.33812 (40*2π)/176544 weeks
41.04225 -.26828 (41*2π)/176543 weeks
42-.03125 -.23987 (42*2π)/176542 weeks
43.05182 -.29961 (43*2π)/176541 weeks
44-.19734 -.30138 (44*2π)/176540 weeks
45-.10316 -.15093 (45*2π)/176539 weeks
46-.02685 -.0363 (46*2π)/176538 weeks
47.16135 -.24638 (47*2π)/176538 weeks
48.02405 -.13344 (48*2π)/176537 weeks
49-.10032 -.09218 (49*2π)/176536 weeks
50.04034 -.13403 (50*2π)/176535 weeks
51-.0576 -.16229 (51*2π)/176535 weeks
52.07839 -.15378 (52*2π)/176534 weeks
53.04662 -.19199 (53*2π)/176533 weeks
54.07006 -.2194 (54*2π)/176533 weeks
55.00793 -.27171 (55*2π)/176532 weeks
56-.13815 -.19089 (56*2π)/176532 weeks
57-.04223 -.04911 (57*2π)/176531 weeks
58-.00059 -.09599 (58*2π)/176530 weeks
59.07946 -.26084 (59*2π)/176530 weeks
60-.09275 -.22137 (60*2π)/176529 weeks
61.03838 -.10589 (61*2π)/176529 weeks
62.03326 -.17516 (62*2π)/176528 weeks
63-.08408 -.19591 (63*2π)/176528 weeks
64-.12206 -.06648 (64*2π)/176528 weeks
65-.0162 -.17815 (65*2π)/176527 weeks
66-.05569 -.1065 (66*2π)/176527 weeks
67.01802 -.17076 (67*2π)/176526 weeks
68.00222 -.05859 (68*2π)/176526 weeks
69.09383 -.16688 (69*2π)/176526 weeks
70-.04176 -.11329 (70*2π)/176525 weeks
71-.0103 -.07685 (71*2π)/176525 weeks
72.01545 -.03342 (72*2π)/176525 weeks
73.07817 -.10661 (73*2π)/176524 weeks
74.01165 -.19621 (74*2π)/176524 weeks
75.03826 -.13823 (75*2π)/176524 weeks
76.03446 -.17737 (76*2π)/176523 weeks
77-.02069 -.15801 (77*2π)/176523 weeks
78-.0087 -.14926 (78*2π)/176523 weeks
79.00399 -.13455 (79*2π)/176522 weeks
80-.01152 -.20512 (80*2π)/176522 weeks
81-.03636 -.11507 (81*2π)/176522 weeks
82.03956 -.10733 (82*2π)/176522 weeks
83.01608 -.15513 (83*2π)/176521 weeks
84-.09864 -.25794 (84*2π)/176521 weeks
85-.13401 -.11345 (85*2π)/176521 weeks
86-.05547 -.00054 (86*2π)/176521 weeks
87.04771 -.076 (87*2π)/176520 weeks
88-.0303 -.18143 (88*2π)/176520 weeks
89-.082 -.13721 (89*2π)/176520 weeks
90-.02206 -.07118 (90*2π)/176520 weeks
91-.02655 -.20216 (91*2π)/176519 weeks
92-.12735 -.05102 (92*2π)/176519 weeks
93-.08259 -.06467 (93*2π)/176519 weeks
94-.00278 -.02135 (94*2π)/176519 weeks
95-.00758 -.08771 (95*2π)/176519 weeks
96.03226 -.10688 (96*2π)/176518 weeks
97-.08988 -.07509 (97*2π)/176518 weeks
98.02251 -.02754 (98*2π)/176518 weeks
99.0142 -.04329 (99*2π)/176518 weeks
100.00376 -.13156 (100*2π)/176518 weeks
101-.06862 -.06957 (101*2π)/176517 weeks
102.03345 -.04316 (102*2π)/176517 weeks
103.04878 -.13111 (103*2π)/176517 weeks
104-.01715 -.15407 (104*2π)/176517 weeks
105-.03455 -.05081 (105*2π)/176517 weeks
106.02062 -.00561 (106*2π)/176517 weeks
107.0508 -.13132 (107*2π)/176516 weeks
108.00302 -.17381 (108*2π)/176516 weeks
109-.0916 -.14752 (109*2π)/176516 weeks
110-.08432 -.02526 (110*2π)/176516 weeks
111.03148 -.02528 (111*2π)/176516 weeks
112.02579 -.12443 (112*2π)/176516 weeks
113-.05594 -.08379 (113*2π)/176516 weeks
114-.06007 -.03866 (114*2π)/176515 weeks
115.00486 -.08351 (115*2π)/176515 weeks
116-.04617 -.14518 (116*2π)/176515 weeks
117-.04006 -.05008 (117*2π)/176515 weeks
118.01526 -.06279 (118*2π)/176515 weeks
119-.03244 -.04871 (119*2π)/176515 weeks
120-.00118 -.04961 (120*2π)/176515 weeks
121-.00086 -.04717 (121*2π)/176515 weeks
122.00634 -.13268 (122*2π)/176514 weeks
123-.04725 -.08057 (123*2π)/176514 weeks
124-.02974 -.09398 (124*2π)/176514 weeks
125-.0287 -.04037 (125*2π)/176514 weeks
126.04481 -.06649 (126*2π)/176514 weeks
127.00314 -.08479 (127*2π)/176514 weeks
128-.03401 -.07005 (128*2π)/176514 weeks
129-.09024 -.03839 (129*2π)/176514 weeks
130.00464 -.02074 (130*2π)/176514 weeks
131.00474 -.09024 (131*2π)/176513 weeks
132.03681 -.09911 (132*2π)/176513 weeks
133-.02763 -.15174 (133*2π)/176513 weeks
134-.05799 -.06443 (134*2π)/176513 weeks
135-.05041 -.04101 (135*2π)/176513 weeks
136.00442 -.01421 (136*2π)/176513 weeks
137-.01373 -.06402 (137*2π)/176513 weeks
138-.02741 -.08444 (138*2π)/176513 weeks
139-.01874 -.0704 (139*2π)/176513 weeks
140-.01739 -.06536 (140*2π)/176513 weeks
141-.01563 -.04357 (141*2π)/176513 weeks
142-.01012 -.02251 (142*2π)/176512 weeks
143.03082 -.01783 (143*2π)/176512 weeks
144-.01805 -.11381 (144*2π)/176512 weeks
145-.03064 -.03044 (145*2π)/176512 weeks
146.01897 -.07174 (146*2π)/176512 weeks
147.01874 -.10873 (147*2π)/176512 weeks
148-.02342 -.06566 (148*2π)/176512 weeks
149.01717 -.03356 (149*2π)/176512 weeks
150-.00438 -.08944 (150*2π)/176512 weeks
151-.03367 -.10225 (151*2π)/176512 weeks
152-.06601 -.11221 (152*2π)/176512 weeks
153-.06272 -.05377 (153*2π)/176512 weeks
154-.03759 -.05351 (154*2π)/176511 weeks
155-.0376 -.02004 (155*2π)/176511 weeks
156.00866 .0018 (156*2π)/176511 weeks
157.00302 -.01758 (157*2π)/176511 weeks
158-.01098 -.04414 (158*2π)/176511 weeks
159-.02813 -.02132 (159*2π)/176511 weeks
160.03363 -.05675 (160*2π)/176511 weeks
161-.00967 -.0948 (161*2π)/176511 weeks
162-.01175 -.09298 (162*2π)/176511 weeks
163-.03022 -.04432 (163*2π)/176511 weeks
164.02315 -.02326 (164*2π)/176511 weeks
165.02745 -.05998 (165*2π)/176511 weeks
166-.04571 -.05601 (166*2π)/176511 weeks
167-.01046 -.04374 (167*2π)/176511 weeks
168-.01427 -.10823 (168*2π)/176511 weeks
169-.02924 -.09528 (169*2π)/176510 weeks
170-.02009 -.05827 (170*2π)/176510 weeks
171-.01223 -.0324 (171*2π)/176510 weeks
172-.01097 -.0565 (172*2π)/176510 weeks
173-.04478 -.02369 (173*2π)/176510 weeks
174.00469 -.05613 (174*2π)/176510 weeks
175-.00681 -.07153 (175*2π)/176510 weeks
176-.02578 -.07882 (176*2π)/176510 weeks
177-.01891 -.03953 (177*2π)/176510 weeks
178.01342 -.05873 (178*2π)/176510 weeks
179-.01443 -.06622 (179*2π)/176510 weeks
180-.05943 -.07213 (180*2π)/176510 weeks
181-.06248 -.03668 (181*2π)/176510 weeks
182-.03619 -.02113 (182*2π)/176510 weeks
183-.00416 -.04281 (183*2π)/176510 weeks
184-.0055 -.04526 (184*2π)/176510 weeks
185-.00665 -.03222 (185*2π)/176510 weeks
186.01314 -.02052 (186*2π)/17659 weeks
187-.00593 -.0375 (187*2π)/17659 weeks
188-.01835 -.04857 (188*2π)/17659 weeks
189-.03151 -.04422 (189*2π)/17659 weeks
190-.04457 -.04666 (190*2π)/17659 weeks
191.00114 -.06811 (191*2π)/17659 weeks
192-.0403 -.06376 (192*2π)/17659 weeks
193-.01531 -.01832 (193*2π)/17659 weeks
194.00334 -.03195 (194*2π)/17659 weeks
195-.00161 -.05085 (195*2π)/17659 weeks
196-.02687 -.06076 (196*2π)/17659 weeks
197-.05496 -.05273 (197*2π)/17659 weeks
198-.02183 -.03684 (198*2π)/17659 weeks
199-.01121 -.03435 (199*2π)/17659 weeks
200.01585 -.04488 (200*2π)/17659 weeks
201-.00189 -.04869 (201*2π)/17659 weeks
202-.01035 -.02631 (202*2π)/17659 weeks
203-.03914 -.05346 (203*2π)/17659 weeks
204-.03593 -.02878 (204*2π)/17659 weeks
205-.02613 -.06647 (205*2π)/17659 weeks
206-.03863 -.0243 (206*2π)/17659 weeks
207.00745 -.04199 (207*2π)/17659 weeks
208-.00877 -.01371 (208*2π)/17658 weeks
209-.02138 -.04259 (209*2π)/17658 weeks
210-.0329 -.01191 (210*2π)/17658 weeks
211-.00995 -.01861 (211*2π)/17658 weeks
212.01337 -.04164 (212*2π)/17658 weeks
213-.00908 -.04901 (213*2π)/17658 weeks
214.0162 -.04892 (214*2π)/17658 weeks
215-.00725 -.05758 (215*2π)/17658 weeks
216-.02878 -.0499 (216*2π)/17658 weeks
217-.0356 -.02525 (217*2π)/17658 weeks
218-.01741 -.04181 (218*2π)/17658 weeks
219-.00627 -.0195 (219*2π)/17658 weeks
220-.01295 -.04319 (220*2π)/17658 weeks
221.01016 -.0536 (221*2π)/17658 weeks
222-.02711 -.06174 (222*2π)/17658 weeks
223-.01298 -.0239 (223*2π)/17658 weeks
224-.03211 -.03081 (224*2π)/17658 weeks
225-.01853 -.02239 (225*2π)/17658 weeks
226-.01546 -.02788 (226*2π)/17658 weeks
227.01011 -.06425 (227*2π)/17658 weeks
228-.02326 -.05926 (228*2π)/17658 weeks
229-.03802 -.00869 (229*2π)/17658 weeks
230.05702 -.03306 (230*2π)/17658 weeks
231-.00296 -.07401 (231*2π)/17658 weeks
232-.03456 -.04784 (232*2π)/17658 weeks
233-.02698 -.01399 (233*2π)/17658 weeks
234-.01244 -.0397 (234*2π)/17658 weeks
235-.01883 -.08256 (235*2π)/17658 weeks
236-.0424 -.05784 (236*2π)/17657 weeks
237-.02754 -.0102 (237*2π)/17657 weeks
238.0052 -.00726 (238*2π)/17657 weeks
239.01004 -.05346 (239*2π)/17657 weeks
240-.02801 -.03092 (240*2π)/17657 weeks
241-.02422 -.02199 (241*2π)/17657 weeks
242-.02204 -.01674 (242*2π)/17657 weeks
243.01034 -.02973 (243*2π)/17657 weeks
244.00731 -.05954 (244*2π)/17657 weeks
245-.01887 -.05119 (245*2π)/17657 weeks
246-.0299 -.05844 (246*2π)/17657 weeks
247-.05469 -.04319 (247*2π)/17657 weeks
248-.04684 -.01231 (248*2π)/17657 weeks
249-.02145 -.00329 (249*2π)/17657 weeks
250.02479 -.02509 (250*2π)/17657 weeks
251.00828 -.05941 (251*2π)/17657 weeks
252-.03836 -.0519 (252*2π)/17657 weeks
253-.037 -.00304 (253*2π)/17657 weeks
254.00493 -.00736 (254*2π)/17657 weeks
255.02429 -.04022 (255*2π)/17657 weeks
256-.01203 -.06561 (256*2π)/17657 weeks
257-.03121 -.02496 (257*2π)/17657 weeks
258-.00489 -.04798 (258*2π)/17657 weeks
259-.00683 -.05143 (259*2π)/17657 weeks
260-.03926 -.0333 (260*2π)/17657 weeks
261-.00539 .00541 (261*2π)/17657 weeks
262.0075 -.02718 (262*2π)/17657 weeks
263.00622 -.05583 (263*2π)/17657 weeks
264-.01755 -.06154 (264*2π)/17657 weeks
265-.02175 -.07266 (265*2π)/17657 weeks
266-.04027 -.03809 (266*2π)/17657 weeks
267-.01655 -.01645 (267*2π)/17657 weeks
268-.00662 -.02799 (268*2π)/17657 weeks
269-.00201 -.03131 (269*2π)/17657 weeks
270-.02098 -.0515 (270*2π)/17657 weeks
271-.02595 -.03038 (271*2π)/17657 weeks
272-.02871 -.06118 (272*2π)/17656 weeks
273-.04419 -.01808 (273*2π)/17656 weeks
274-.00332 -.0071 (274*2π)/17656 weeks
275-.00882 -.03702 (275*2π)/17656 weeks
276-.01369 -.04837 (276*2π)/17656 weeks
277-.04816 -.04708 (277*2π)/17656 weeks
278-.01828 -.02807 (278*2π)/17656 weeks
279-.00729 -.03147 (279*2π)/17656 weeks
280-.02384 -.05243 (280*2π)/17656 weeks
281-.05098 -.0156 (281*2π)/17656 weeks
282-.02975 .01424 (282*2π)/17656 weeks
283.00155 -.01935 (283*2π)/17656 weeks
284-.03643 -.03526 (284*2π)/17656 weeks
285-.02284 -.02269 (285*2π)/17656 weeks
286-.01118 -.01099 (286*2π)/17656 weeks
287.02157 -.02188 (287*2π)/17656 weeks
288-.00966 -.04712 (288*2π)/17656 weeks
289-.04056 -.01092 (289*2π)/17656 weeks
290-.01541 -.00546 (290*2π)/17656 weeks
291-.0043 -.01532 (291*2π)/17656 weeks
292-.00204 -.03428 (292*2π)/17656 weeks
293-.01696 -.03021 (293*2π)/17656 weeks
294-.01778 -.03273 (294*2π)/17656 weeks
295.00419 -.02 (295*2π)/17656 weeks
296.00147 -.04497 (296*2π)/17656 weeks
297-.00904 -.03113 (297*2π)/17656 weeks
298-.02025 -.03349 (298*2π)/17656 weeks
299-.01561 -.03165 (299*2π)/17656 weeks
300-.00359 -.04846 (300*2π)/17656 weeks
301-.01706 -.04623 (301*2π)/17656 weeks
302-.02537 -.03876 (302*2π)/17656 weeks
303-.02965 -.02366 (303*2π)/17656 weeks
304-.02672 -.00212 (304*2π)/17656 weeks
305-.01197 -.02474 (305*2π)/17656 weeks
306-.00169 -.02186 (306*2π)/17656 weeks
307-.00231 -.05674 (307*2π)/17656 weeks
308-.01994 -.04332 (308*2π)/17656 weeks
309-.01821 -.04129 (309*2π)/17656 weeks
310-.00436 -.02505 (310*2π)/17656 weeks
311-.02651 -.04534 (311*2π)/17656 weeks
312-.0407 -.02561 (312*2π)/17656 weeks
313-.04156 -.03095 (313*2π)/17656 weeks
314-.0206 -.01937 (314*2π)/17656 weeks
315-.01878 -.04878 (315*2π)/17656 weeks
316-.03601 -.02559 (316*2π)/17656 weeks
317-.02378 -.0053 (317*2π)/17656 weeks
318-.01282 -.01229 (318*2π)/17656 weeks
319-.0249 -.01489 (319*2π)/17656 weeks
320-.0375 -.01589 (320*2π)/17656 weeks
321-.03653 -.00145 (321*2π)/17655 weeks
322-.01187 -.02232 (322*2π)/17655 weeks
323-.02381 -.01736 (323*2π)/17655 weeks
324-.00539 -.00658 (324*2π)/17655 weeks
325-.00957 -.00494 (325*2π)/17655 weeks
326-.00282 .00275 (326*2π)/17655 weeks
327-.00302 -.01132 (327*2π)/17655 weeks
328-.01147 -.01341 (328*2π)/17655 weeks
329.01347 -.03619 (329*2π)/17655 weeks
330-.01478 -.02807 (330*2π)/17655 weeks
331.03018 -.04086 (331*2π)/17655 weeks
332-.01515 -.04762 (332*2π)/17655 weeks
333-.01442 -.02684 (333*2π)/17655 weeks
334-.02053 -.01058 (334*2π)/17655 weeks
335-.00731 -.02599 (335*2π)/17655 weeks
336-.02746 -.04109 (336*2π)/17655 weeks
337-.02803 -.0289 (337*2π)/17655 weeks
338.01047 -.02529 (338*2π)/17655 weeks
339.00181 -.04599 (339*2π)/17655 weeks
340-.01942 -.04822 (340*2π)/17655 weeks
341-.03537 -.01631 (341*2π)/17655 weeks
342-.01633 -.02625 (342*2π)/17655 weeks
343-.02811 -.03112 (343*2π)/17655 weeks
344-.04585 -.02878 (344*2π)/17655 weeks
345-.02328 -.00493 (345*2π)/17655 weeks
346-.00105 -.02244 (346*2π)/17655 weeks
347-.00814 -.02621 (347*2π)/17655 weeks
348-.03393 -.01719 (348*2π)/17655 weeks
349-.03588 .00895 (349*2π)/17655 weeks
350-.01821 .0025 (350*2π)/17655 weeks
351.00021 -.01862 (351*2π)/17655 weeks
352-.01582 -.03257 (352*2π)/17655 weeks
353-.00705 -.01987 (353*2π)/17655 weeks
354-.00218 -.01615 (354*2π)/17655 weeks
355.00236 -.02459 (355*2π)/17655 weeks
356-.00253 -.01992 (356*2π)/17655 weeks
357-.01644 -.03486 (357*2π)/17655 weeks
358-.02653 -.0157 (358*2π)/17655 weeks
359.00168 -.02699 (359*2π)/17655 weeks
360-.0107 -.05211 (360*2π)/17655 weeks
361-.02129 -.03287 (361*2π)/17655 weeks
362-.01706 -.0141 (362*2π)/17655 weeks
363-.00765 -.02812 (363*2π)/17655 weeks
364-.03358 -.02833 (364*2π)/17655 weeks
365-.03179 -.0034 (365*2π)/17655 weeks
366.00303 -.0192 (366*2π)/17655 weeks
367.00402 -.04564 (367*2π)/17655 weeks
368-.01149 -.05881 (368*2π)/17655 weeks
369-.04064 -.02295 (369*2π)/17655 weeks
370-.02119 -.01588 (370*2π)/17655 weeks
371-.02089 .00144 (371*2π)/17655 weeks
372-.0177 -.02572 (372*2π)/17655 weeks
373-.03434 -.01895 (373*2π)/17655 weeks
374-.01661 -.00142 (374*2π)/17655 weeks
375.00919 -.01704 (375*2π)/17655 weeks
376-.00598 -.03095 (376*2π)/17655 weeks
377-.01148 -.009 (377*2π)/17655 weeks
378-.00139 -.00603 (378*2π)/17655 weeks
379-.01318 -.04347 (379*2π)/17655 weeks
380-.04316 -.03146 (380*2π)/17655 weeks
381-.02211 -.01732 (381*2π)/17655 weeks
382.0007 -.01304 (382*2π)/17655 weeks
383-.00434 -.03268 (383*2π)/17655 weeks
384-.00871 -.01297 (384*2π)/17655 weeks
385-.00006 -.02598 (385*2π)/17655 weeks
386-.02592 -.02498 (386*2π)/17655 weeks
387-.01284 -.0265 (387*2π)/17655 weeks
388-.01862 -.03648 (388*2π)/17655 weeks
389-.03031 -.03506 (389*2π)/17655 weeks
390-.02867 -.01896 (390*2π)/17655 weeks
391-.00613 -.02039 (391*2π)/17655 weeks
392-.01779 -.02479 (392*2π)/17655 weeks
393-.02703 -.01795 (393*2π)/17654 weeks
394-.02264 .00556 (394*2π)/17654 weeks
395-.00776 -.01079 (395*2π)/17654 weeks
396-.00607 -.04696 (396*2π)/17654 weeks
397-.03221 -.05439 (397*2π)/17654 weeks
398-.0367 -.01802 (398*2π)/17654 weeks
399-.02258 -.00957 (399*2π)/17654 weeks
400-.02163 -.0107 (400*2π)/17654 weeks
401-.02836 -.01166 (401*2π)/17654 weeks
402-.03732 -.00532 (402*2π)/17654 weeks
403-.00579 -.00302 (403*2π)/17654 weeks
404-.01244 -.02321 (404*2π)/17654 weeks
405-.01564 -.02225 (405*2π)/17654 weeks
406-.02062 -.00291 (406*2π)/17654 weeks
407.026 -.00425 (407*2π)/17654 weeks
408-.01321 -.03544 (408*2π)/17654 weeks
409-.02215 -.00239 (409*2π)/17654 weeks
410-.01212 -.03603 (410*2π)/17654 weeks
411-.01798 -.02926 (411*2π)/17654 weeks
412-.02896 -.02507 (412*2π)/17654 weeks
413-.00535 -.00003 (413*2π)/17654 weeks
414-.01596 -.02961 (414*2π)/17654 weeks
415-.015 -.02654 (415*2π)/17654 weeks
416-.03506 -.03091 (416*2π)/17654 weeks
417-.03845 .00367 (417*2π)/17654 weeks
418-.00736 -.00771 (418*2π)/17654 weeks
419.00487 -.01295 (419*2π)/17654 weeks
420.00183 -.03515 (420*2π)/17654 weeks
421-.02194 -.02047 (421*2π)/17654 weeks
422-.00112 -.00889 (422*2π)/17654 weeks
423-.01773 -.04225 (423*2π)/17654 weeks
424-.02663 -.01042 (424*2π)/17654 weeks
425-.00995 -.02963 (425*2π)/17654 weeks
426-.01785 -.04441 (426*2π)/17654 weeks
427-.04935 -.0309 (427*2π)/17654 weeks
428-.02083 -.00537 (428*2π)/17654 weeks
429-.01714 -.02 (429*2π)/17654 weeks
430-.03165 -.02413 (430*2π)/17654 weeks
431-.03746 .00788 (431*2π)/17654 weeks
432-.01198 .00202 (432*2π)/17654 weeks
433-.01297 -.01497 (433*2π)/17654 weeks
434-.02537 -.00313 (434*2π)/17654 weeks
435-.00643 .0037 (435*2π)/17654 weeks
436.00098