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Fourier Analysis of FGLDX (Invesco Gold & Precious Metals )


FGLDX (Invesco Gold & Precious Metals ) appears to have interesting cyclic behaviour every 173 weeks (.3612*cosine), 108 weeks (.2345*sine), and 157 weeks (.2238*cosine).

FGLDX (Invesco Gold & Precious Metals ) has an average price of 3.43 (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 1/19/1984 to 3/13/2017 for FGLDX (Invesco Gold & Precious Metals ), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
03.42758   0 
11.00105 -1.47965 (1*2π)/17301,730 weeks
2-1.09431 -.91899 (2*2π)/1730865 weeks
3-.19476 .38009 (3*2π)/1730577 weeks
4-.44703 .29506 (4*2π)/1730433 weeks
5.23775 .02085 (5*2π)/1730346 weeks
6.34391 .03769 (6*2π)/1730288 weeks
7.27602 -.44001 (7*2π)/1730247 weeks
8.01377 -.25338 (8*2π)/1730216 weeks
9-.13299 .01936 (9*2π)/1730192 weeks
10.36115 -.01764 (10*2π)/1730173 weeks
11.22376 .12872 (11*2π)/1730157 weeks
12-.04593 -.08477 (12*2π)/1730144 weeks
13.08168 .01446 (13*2π)/1730133 weeks
14-.02686 .0695 (14*2π)/1730124 weeks
15.04147 -.18945 (15*2π)/1730115 weeks
16.01005 -.23454 (16*2π)/1730108 weeks
17-.0095 -.04657 (17*2π)/1730102 weeks
18.10196 -.11436 (18*2π)/173096 weeks
19-.04474 -.18309 (19*2π)/173091 weeks
20-.09869 -.01438 (20*2π)/173087 weeks
21.0216 .13971 (21*2π)/173082 weeks
22.10258 .08606 (22*2π)/173079 weeks
23.00834 -.04806 (23*2π)/173075 weeks
24-.0903 -.00081 (24*2π)/173072 weeks
25-.0613 -.01356 (25*2π)/173069 weeks
26-.02783 -.06452 (26*2π)/173067 weeks
27.00006 -.07491 (27*2π)/173064 weeks
28-.08092 -.01417 (28*2π)/173062 weeks
29-.01549 .11524 (29*2π)/173060 weeks
30.06355 .06615 (30*2π)/173058 weeks
31-.01652 .01121 (31*2π)/173056 weeks
32-.00196 .04583 (32*2π)/173054 weeks
33-.01138 .04682 (33*2π)/173052 weeks
34-.05567 -.01866 (34*2π)/173051 weeks
35-.01188 .04007 (35*2π)/173049 weeks
36-.01172 .05355 (36*2π)/173048 weeks
37.0588 .02613 (37*2π)/173047 weeks
38.09219 -.01598 (38*2π)/173046 weeks
39.01422 -.02442 (39*2π)/173044 weeks
40.02239 .00009 (40*2π)/173043 weeks
41-.03623 .0126 (41*2π)/173042 weeks
42-.02206 -.01518 (42*2π)/173041 weeks
43-.01361 -.03974 (43*2π)/173040 weeks
44-.01718 .04361 (44*2π)/173039 weeks
45.03648 .00999 (45*2π)/173038 weeks
46.09927 -.02884 (46*2π)/173038 weeks
47.00507 .01401 (47*2π)/173037 weeks
48-.02845 -.0105 (48*2π)/173036 weeks
49.05262 -.00405 (49*2π)/173035 weeks
50.01871 -.00275 (50*2π)/173035 weeks
51-.00031 .00475 (51*2π)/173034 weeks
52.00625 .01387 (52*2π)/173033 weeks
53.04715 .00658 (53*2π)/173033 weeks
54.0307 -.03078 (54*2π)/173032 weeks
55-.03069 -.02522 (55*2π)/173031 weeks
56-.02352 .01557 (56*2π)/173031 weeks
57-.01629 .01673 (57*2π)/173030 weeks
58.01078 -.02108 (58*2π)/173030 weeks
59-.0181 -.02819 (59*2π)/173029 weeks
60.00848 -.01756 (60*2π)/173029 weeks
61.01302 -.01042 (61*2π)/173028 weeks
62-.01387 -.01643 (62*2π)/173028 weeks
63.00965 .01949 (63*2π)/173027 weeks
64-.01198 .01921 (64*2π)/173027 weeks
65.03386 -.00229 (65*2π)/173027 weeks
66.01904 .0041 (66*2π)/173026 weeks
67.00187 -.03365 (67*2π)/173026 weeks
68-.01589 -.02861 (68*2π)/173025 weeks
69-.06199 -.04822 (69*2π)/173025 weeks
70-.02885 -.04251 (70*2π)/173025 weeks
71-.00736 .01987 (71*2π)/173024 weeks
72.02508 .01759 (72*2π)/173024 weeks
73.04659 -.0177 (73*2π)/173024 weeks
74.03164 -.03069 (74*2π)/173023 weeks
75-.01023 -.01377 (75*2π)/173023 weeks
76-.00605 .0095 (76*2π)/173023 weeks
77.02497 -.01238 (77*2π)/173022 weeks
78-.00134 -.05671 (78*2π)/173022 weeks
79-.04206 -.04651 (79*2π)/173022 weeks
80-.00951 -.02771 (80*2π)/173022 weeks
81-.00051 -.0114 (81*2π)/173021 weeks
82-.00357 -.00953 (82*2π)/173021 weeks
83-.00401 .00326 (83*2π)/173021 weeks
84.01596 .02209 (84*2π)/173021 weeks
85-.00024 .0089 (85*2π)/173020 weeks
86-.02719 -.00061 (86*2π)/173020 weeks
87-.02724 .02312 (87*2π)/173020 weeks
88.00136 .00727 (88*2π)/173020 weeks
89.02418 -.02388 (89*2π)/173019 weeks
90.0041 -.01927 (90*2π)/173019 weeks
91.01614 -.00154 (91*2π)/173019 weeks
92.00383 -.00189 (92*2π)/173019 weeks
93-.018 .0129 (93*2π)/173019 weeks
94.0133 .00936 (94*2π)/173018 weeks
95-.01217 .00357 (95*2π)/173018 weeks
96-.00382 -.00785 (96*2π)/173018 weeks
97.00118 -.01219 (97*2π)/173018 weeks
98-.01533 -.0149 (98*2π)/173018 weeks
99.00434 -.02442 (99*2π)/173017 weeks
100-.00566 -.00111 (100*2π)/173017 weeks
101.00588 -.02197 (101*2π)/173017 weeks
102.01349 .01043 (102*2π)/173017 weeks
103-.00994 .0079 (103*2π)/173017 weeks
104-.0184 .01893 (104*2π)/173017 weeks
105.00697 .00978 (105*2π)/173016 weeks
106.00504 -.01688 (106*2π)/173016 weeks
107-.01103 -.03073 (107*2π)/173016 weeks
108-.03212 -.01203 (108*2π)/173016 weeks
109.00995 .02826 (109*2π)/173016 weeks
110.03349 -.01717 (110*2π)/173016 weeks
111.00873 -.00812 (111*2π)/173016 weeks
112.01343 .0207 (112*2π)/173015 weeks
113-.00878 -.02896 (113*2π)/173015 weeks
114-.03291 -.01672 (114*2π)/173015 weeks
115-.02373 .00926 (115*2π)/173015 weeks
116-.00396 .01471 (116*2π)/173015 weeks
117-.0107 .00131 (117*2π)/173015 weeks
118.00923 -.00652 (118*2π)/173015 weeks
119.00724 -.00171 (119*2π)/173015 weeks
120-.02213 -.01147 (120*2π)/173014 weeks
121-.00647 .00554 (121*2π)/173014 weeks
122-.01868 .01487 (122*2π)/173014 weeks
123-.01398 -.01528 (123*2π)/173014 weeks
124.00927 .00299 (124*2π)/173014 weeks
125-.00102 -.01003 (125*2π)/173014 weeks
126-.00509 -.00389 (126*2π)/173014 weeks
127-.00863 .01659 (127*2π)/173014 weeks
128-.00531 -.00423 (128*2π)/173014 weeks
129-.01279 .00764 (129*2π)/173013 weeks
130-.01186 .00397 (130*2π)/173013 weeks
131-.01131 -.00528 (131*2π)/173013 weeks
132.00294 -.00689 (132*2π)/173013 weeks
133-.00662 -.01732 (133*2π)/173013 weeks
134-.01292 -.00619 (134*2π)/173013 weeks
135-.01123 .01667 (135*2π)/173013 weeks
136-.00112 .02419 (136*2π)/173013 weeks
137.01897 .01211 (137*2π)/173013 weeks
138-.02205 -.00553 (138*2π)/173013 weeks
139-.0207 -.00137 (139*2π)/173012 weeks
140-.00143 .01682 (140*2π)/173012 weeks
141-.00315 -.02745 (141*2π)/173012 weeks
142-.00082 -.01532 (142*2π)/173012 weeks
143-.00219 .00625 (143*2π)/173012 weeks
144.00315 -.00675 (144*2π)/173012 weeks
145-.01222 .00111 (145*2π)/173012 weeks
146-.01823 .01544 (146*2π)/173012 weeks
147-.00234 .02225 (147*2π)/173012 weeks
148.00396 -.00085 (148*2π)/173012 weeks
149.0046 -.02446 (149*2π)/173012 weeks
150-.01217 -.0173 (150*2π)/173012 weeks
151-.00245 -.014 (151*2π)/173011 weeks
152.00506 -.00206 (152*2π)/173011 weeks
153.00919 .00496 (153*2π)/173011 weeks
154.00269 .01376 (154*2π)/173011 weeks
155-.00867 .00541 (155*2π)/173011 weeks
156.0057 -.0055 (156*2π)/173011 weeks
157.00567 -.00435 (157*2π)/173011 weeks
158-.00091 -.02259 (158*2π)/173011 weeks
159-.00126 -.01575 (159*2π)/173011 weeks
160.0062 .00288 (160*2π)/173011 weeks
161.01538 -.00813 (161*2π)/173011 weeks
162-.00009 -.01183 (162*2π)/173011 weeks
163-.00751 .00774 (163*2π)/173011 weeks
164.00191 .00472 (164*2π)/173011 weeks
165-.01367 .00142 (165*2π)/173010 weeks
166-.00292 .0066 (166*2π)/173010 weeks
167.01434 .01004 (167*2π)/173010 weeks
168.00535 -.01194 (168*2π)/173010 weeks
169.00552 -.01482 (169*2π)/173010 weeks
170-.01358 -.00256 (170*2π)/173010 weeks
171-.0101 .0018 (171*2π)/173010 weeks
172-.00703 .02091 (172*2π)/173010 weeks
173.00265 .01802 (173*2π)/173010 weeks
174.00524 .00101 (174*2π)/173010 weeks
175-.00546 -.00773 (175*2π)/173010 weeks
176.00257 -.01314 (176*2π)/173010 weeks
177-.01109 -.00324 (177*2π)/173010 weeks
178-.00783 .00939 (178*2π)/173010 weeks
179.01333 .01403 (179*2π)/173010 weeks
180.00644 .00739 (180*2π)/173010 weeks
181-.00103 .00323 (181*2π)/173010 weeks
182.0049 .01688 (182*2π)/173010 weeks
183.00583 .01093 (183*2π)/17309 weeks
184.00376 .00188 (184*2π)/17309 weeks
185.00358 -.01051 (185*2π)/17309 weeks
186.01159 -.00608 (186*2π)/17309 weeks
187.0102 -.01429 (187*2π)/17309 weeks
188-.00063 -.01162 (188*2π)/17309 weeks
189-.00985 .00878 (189*2π)/17309 weeks
190.00273 .02114 (190*2π)/17309 weeks
191.01203 .003 (191*2π)/17309 weeks
192-.00302 -.01921 (192*2π)/17309 weeks
193-.01713 -.00885 (193*2π)/17309 weeks
194-.00673 .00289 (194*2π)/17309 weeks
195.00163 -.00819 (195*2π)/17309 weeks
196.00379 -.00793 (196*2π)/17309 weeks
197.00013 .00126 (197*2π)/17309 weeks
198.00512 -.00205 (198*2π)/17309 weeks
199.0034 -.0026 (199*2π)/17309 weeks
200-.01781 .01036 (200*2π)/17309 weeks
201-.01922 .01105 (201*2π)/17309 weeks
202-.00171 .00588 (202*2π)/17309 weeks
203-.00475 -.00422 (203*2π)/17309 weeks
204-.01215 -.00498 (204*2π)/17308 weeks
205-.00787 .00915 (205*2π)/17308 weeks
206-.00132 .01255 (206*2π)/17308 weeks
207.00756 .00464 (207*2π)/17308 weeks
208.0002 -.00122 (208*2π)/17308 weeks
209-.00562 -.00454 (209*2π)/17308 weeks
210.00203 -.00605 (210*2π)/17308 weeks
211-.01594 -.004 (211*2π)/17308 weeks
212-.00479 -.00252 (212*2π)/17308 weeks
213-.00283 -.00093 (213*2π)/17308 weeks
214-.00399 -.0091 (214*2π)/17308 weeks
215.01043 .01367 (215*2π)/17308 weeks
216.00974 .00934 (216*2π)/17308 weeks
217.01531 -.0238 (217*2π)/17308 weeks
218-.01594 -.01289 (218*2π)/17308 weeks
219-.01181 .00207 (219*2π)/17308 weeks
220.00007 .00435 (220*2π)/17308 weeks
221.00027 -.00037 (221*2π)/17308 weeks
222.00272 -.00164 (222*2π)/17308 weeks
223.00154 -.01236 (223*2π)/17308 weeks
224-.00596 -.00249 (224*2π)/17308 weeks
225-.00518 .01272 (225*2π)/17308 weeks
226.00587 .00189 (226*2π)/17308 weeks
227-.00105 -.00077 (227*2π)/17308 weeks
228.00676 .00524 (228*2π)/17308 weeks
229.00501 -.00652 (229*2π)/17308 weeks
230.0096 -.01462 (230*2π)/17308 weeks
231-.00023 -.01323 (231*2π)/17307 weeks
232-.00038 .0043 (232*2π)/17307 weeks
233.01134 .00555 (233*2π)/17307 weeks
234.0145 -.00644 (234*2π)/17307 weeks
235-.00062 -.00702 (235*2π)/17307 weeks
236-.01396 -.00726 (236*2π)/17307 weeks
237-.00836 -.00202 (237*2π)/17307 weeks
238-.00623 .00265 (238*2π)/17307 weeks
239.00142 .00726 (239*2π)/17307 weeks
240.00512 -.00399 (240*2π)/17307 weeks
241.00133 -.00981 (241*2π)/17307 weeks
242-.00382 -.00171 (242*2π)/17307 weeks
243-.00948 .00995 (243*2π)/17307 weeks
244.00188 .00808 (244*2π)/17307 weeks
245.01849 -.00149 (245*2π)/17307 weeks
246-.00048 -.01504 (246*2π)/17307 weeks
247-.01248 -.00961 (247*2π)/17307 weeks
248-.00453 .00843 (248*2π)/17307 weeks
249.00307 .01224 (249*2π)/17307 weeks
250.01297 .01429 (250*2π)/17307 weeks
251.01019 -.00198 (251*2π)/17307 weeks
252.00026 -.00359 (252*2π)/17307 weeks
253-.0033 .00582 (253*2π)/17307 weeks
254-.01426 .00618 (254*2π)/17307 weeks
255-.00738 .00314 (255*2π)/17307 weeks
256.00813 .0045 (256*2π)/17307 weeks
257.01283 -.0043 (257*2π)/17307 weeks
258.00935 -.0035 (258*2π)/17307 weeks
259-.00857 -.0074 (259*2π)/17307 weeks
260-.01511 .00248 (260*2π)/17307 weeks
261-.00663 .00828 (261*2π)/17307 weeks
262-.0016 .00667 (262*2π)/17307 weeks
263.00835 -.00592 (263*2π)/17307 weeks
264.00047 -.01345 (264*2π)/17307 weeks
265-.01351 -.00522 (265*2π)/17307 weeks
266.00798 -.00132 (266*2π)/17307 weeks
267.00285 .00265 (267*2π)/17306 weeks
268.00149 .0031 (268*2π)/17306 weeks
269.0026 .00871 (269*2π)/17306 weeks
270.00325 -.00148 (270*2π)/17306 weeks
271.00576 -.00515 (271*2π)/17306 weeks
272-.00307 -.01051 (272*2π)/17306 weeks
273.00268 -.0008 (273*2π)/17306 weeks
274.01029 -.00197 (274*2π)/17306 weeks
275-.00011 -.00915 (275*2π)/17306 weeks
276-.0012 -.00173 (276*2π)/17306 weeks
277.00334 -.00218 (277*2π)/17306 weeks
278-.00414 -.00364 (278*2π)/17306 weeks
279-.0045 -.00089 (279*2π)/17306 weeks
280-.0095 .0054 (280*2π)/17306 weeks
281.00664 .00804 (281*2π)/17306 weeks
282.00768 -.01323 (282*2π)/17306 weeks
283-.00677 -.00624 (283*2π)/17306 weeks
284-.00721 .01031 (284*2π)/17306 weeks
285.00566 .00809 (285*2π)/17306 weeks
286.00825 -.00475 (286*2π)/17306 weeks
287-.00176 -.00504 (287*2π)/17306 weeks
288-.00946 .0128 (288*2π)/17306 weeks
289.00526 .0119 (289*2π)/17306 weeks
290.00788 -.00735 (290*2π)/17306 weeks
291-.00398 -.01237 (291*2π)/17306 weeks
292-.00789 -.00094 (292*2π)/17306 weeks
293.00009 .00741 (293*2π)/17306 weeks
294-.00251 .00466 (294*2π)/17306 weeks
295-.00148 .00228 (295*2π)/17306 weeks
296-.00365 .00637 (296*2π)/17306 weeks
297-.0002 .00312 (297*2π)/17306 weeks
298.00172 .00247 (298*2π)/17306 weeks
299.00056 .00053 (299*2π)/17306 weeks
300.00274 -.00112 (300*2π)/17306 weeks
301-.00272 -.00304 (301*2π)/17306 weeks
302.00239 .00083 (302*2π)/17306 weeks
303.00397 .00673 (303*2π)/17306 weeks
304.0018 .00314 (304*2π)/17306 weeks
305-.00894 -.00088 (305*2π)/17306 weeks
306-.00784 .00356 (306*2π)/17306 weeks
307-.00271 .00378 (307*2π)/17306 weeks
308.00828 -.00121 (308*2π)/17306 weeks
309.00704 -.01078 (309*2π)/17306 weeks
310-.01097 -.00123 (310*2π)/17306 weeks
311-.00453 .00843 (311*2π)/17306 weeks
312.00061 .01102 (312*2π)/17306 weeks
313-.00092 .00968 (313*2π)/17306 weeks
314.00206 .00184 (314*2π)/17306 weeks
315-.00317 .00138 (315*2π)/17305 weeks
316.00136 -.00145 (316*2π)/17305 weeks
317-.0012 -.00087 (317*2π)/17305 weeks
318.00142 .00058 (318*2π)/17305 weeks
319.00359 -.00128 (319*2π)/17305 weeks
320-.00319 .00699 (320*2π)/17305 weeks
321.00165 .00823 (321*2π)/17305 weeks
322.0016 .0107 (322*2π)/17305 weeks
323.00492 .00564 (323*2π)/17305 weeks
324.00595 .00429 (324*2π)/17305 weeks
325.00677 -.00059 (325*2π)/17305 weeks
326.0058 -.00688 (326*2π)/17305 weeks
327-.00098 -.00675 (327*2π)/17305 weeks
328.00185 -.00348 (328*2π)/17305 weeks
329.00314 .00617 (329*2π)/17305 weeks
330.00103 .00424 (330*2π)/17305 weeks
331.01198 .00408 (331*2π)/17305 weeks
332.0086 -.00148 (332*2π)/17305 weeks
333.00648 -.00543 (333*2π)/17305 weeks
334.00308 -.0071 (334*2π)/17305 weeks
335-.00515 -.00827 (335*2π)/17305 weeks
336-.00476 -.00381 (336*2π)/17305 weeks
337-.00333 -.00279 (337*2π)/17305 weeks
338.00833 -.00004 (338*2π)/17305 weeks
339.00536 -.00284 (339*2π)/17305 weeks
340.00065 -.0055 (340*2π)/17305 weeks
341.00239 -.00284 (341*2π)/17305 weeks
342-.00345 -.00283 (342*2π)/17305 weeks
343.00179 -.0032 (343*2π)/17305 weeks
344.00081 -.00386 (344*2π)/17305 weeks
345-.00454 -.00799 (345*2π)/17305 weeks
346-.00852 -.00236 (346*2π)/17305 weeks
347-.00148 .00328 (347*2π)/17305 weeks
348.00497 .00149 (348*2π)/17305 weeks
349.00539 -.00786 (349*2π)/17305 weeks
350-.00729 -.00424 (350*2π)/17305 weeks
351.00172 .00663 (351*2π)/17305 weeks
352.013 -.00039 (352*2π)/17305 weeks
353.00103 -.01002 (353*2π)/17305 weeks
354-.0046 -.0144 (354*2π)/17305 weeks
355-.00404 .00344 (355*2π)/17305 weeks
356.00248 -.00067 (356*2π)/17305 weeks
357-.00435 -.00687 (357*2π)/17305 weeks
358-.00354 .00111 (358*2π)/17305 weeks
359.00447 .00061 (359*2π)/17305 weeks
360.00258 -.00734 (360*2π)/17305 weeks
361-.00692 -.01267 (361*2π)/17305 weeks
362-.00368 -.0015 (362*2π)/17305 weeks
363-.00262 .0039 (363*2π)/17305 weeks
364-.00169 -.00289 (364*2π)/17305 weeks
365-.00012 -.00457 (365*2π)/17305 weeks
366-.00434 .00068 (366*2π)/17305 weeks
367.00063 .00025 (367*2π)/17305 weeks
368.00188 -.00055 (368*2π)/17305 weeks
369-.00213 -.00315 (369*2π)/17305 weeks
370-.00153 -.00011 (370*2π)/17305 weeks
371.00348 -.00656 (371*2π)/17305 weeks
372.0006 -.00726 (372*2π)/17305 weeks
373-.00148 .00496 (373*2π)/17305 weeks
374.00342 .00208 (374*2π)/17305 weeks
375-.00271 -.00848 (375*2π)/17305 weeks
376-.00362 .00271 (376*2π)/17305 weeks
377.00058 .00546 (377*2π)/17305 weeks
378.00504 -.00282 (378*2π)/17305 weeks
379.00246 -.00567 (379*2π)/17305 weeks
380-.0027 -.00313 (380*2π)/17305 weeks
381.00138 .00276 (381*2π)/17305 weeks
382.00658 .00198 (382*2π)/17305 weeks
383.00741 .00098 (383*2π)/17305 weeks
384-.00524 -.00476 (384*2π)/17305 weeks
385-.00737 .00004 (385*2π)/17304 weeks
386-.00046 .00252 (386*2π)/17304 weeks
387.0009 -.00576 (387*2π)/17304 weeks
388-.00348 -.0061 (388*2π)/17304 weeks
389-.00347 -.00504 (389*2π)/17304 weeks
390.00216 -.00614 (390*2π)/17304 weeks
391-.00442 .00224 (391*2π)/17304 weeks
392-.00171 .00671 (392*2π)/17304 weeks
393.00372 .00447 (393*2π)/17304 weeks
394-.00073 .00186 (394*2π)/17304 weeks
395.00064 .00233 (395*2π)/17304 weeks
396.00219 -.00791 (396*2π)/17304 weeks
397-.00874 -.00665 (397*2π)/17304 weeks
398-.00579 .00354 (398*2π)/17304 weeks
399.00644 -.00126 (399*2π)/17304 weeks
400.00226 -.00475 (400*2π)/17304 weeks
401.00183 .00425 (401*2π)/17304 weeks
402-.00107 -.00242 (402*2π)/17304 weeks
403-.00905 -.00188 (403*2π)/17304 weeks
404-.00903 .01192 (404*2π)/17304 weeks
405-.00204 .01617 (405*2π)/17304 weeks
406.00419 .00511 (406*2π)/17304 weeks
407.00032 -.00447 (407*2π)/17304 weeks
408-.00306 .00003 (408*2π)/17304 weeks
409-.00272 .00442 (409*2π)/17304 weeks
410.00512 .00349 (410*2π)/17304 weeks
411.00783 -.00512 (411*2π)/17304 weeks
412-.01009 -.00605 (412*2π)/17304 weeks
413-.00497 .00641 (413*2π)/17304 weeks
414.00765 .00421 (414*2π)/17304 weeks
415.00293 -.00832 (415*2π)/17304 weeks
416-.00401 -.00093 (416*2π)/17304 weeks
417-.00202 .00505 (417*2π)/17304 weeks
418.00618 -.00383 (418*2π)/17304 weeks
419.00364 .00521 (419*2π)/17304 weeks
420.00172 -.00514 (420*2π)/17304 weeks
421.00352 -.01101 (421*2π)/17304 weeks
422-.00737 -.00657 (422*2π)/17304 weeks
423-.00946 -.00156 (423*2π)/17304 weeks
424-.00163 .00409 (424*2π)/17304 weeks
425.00203 .00145 (425*2π)/17304 weeks
426.00772 .00082 (426*2π)/17304 weeks
427.00702 -.00679 (427*2π)/17304 weeks
428-.00277 -.01247 (428*2π)/17304 weeks
429-.00684 -.00449 (429*2π)/17304 weeks
430-.01233 .00337 (430*2π)/17304 weeks
431-.00079 .00717 (431*2π)/17304 weeks
432.00518 .00225 (432*2π)/17304 weeks
433.00249 -.00245 (433*2π)/17304 weeks
434-.00733 -.01191 (434*2π)/17304 weeks
435-.01017 -.00263 (435*2π)/17304 weeks
436-.00011 .00991 (436*2π)/17304 weeks
437.0069 .00293 (437*2π)/17304 weeks
438.00833 -.00843 (438*2π)/17304 weeks
439-.00353 -.00793 (439*2π)/17304 weeks
440-.0069 -.00271 (440*2π)/17304 weeks
441-.00446 -.00156 (441*2π)/17304 weeks
442-.00182 .00316 (442*2π)/17304 weeks
443.00139 -.00076 (443*2π)/17304 weeks
444.00361 .00164 (444*2π)/17304 weeks
445-.00112 -.00787 (445*2π)/17304 weeks
446-.00113 -.0038 (446*2π)/17304 weeks
447-.00526 .00102 (447*2π)/17304 weeks
448-.00444 .00041 (448*2π)/17304 weeks
449.00577 .00675 (449*2π)/17304 weeks
450.00233 .00017 (450*2π)/17304 weeks
451.00107 -.00007 (451*2π)/17304 weeks
452-.00049 -.00301 (452*2π)/17304 weeks
453-.00153 -.00331 (453*2π)/17304 weeks
454-.00177 .00062 (454*2π)/17304 weeks
455-.0008 -.00028 (455*2π)/17304 weeks
456.00346