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Fourier Analysis of SIVR (ETFS Physical Silver Shares ETF)


SIVR (ETFS Physical Silver Shares ETF) appears to have interesting cyclic behaviour every 25 weeks (.844*cosine), 39 weeks (.6724*cosine), and 20 weeks (.4428*cosine).

SIVR (ETFS Physical Silver Shares ETF) has an average price of 21.99 (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 7/24/2009 to 10/16/2017 for SIVR (ETFS Physical Silver Shares ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
021.99417   0 
1-3.10816 8.12601 (1*2π)/431431 weeks
2-3.05753 -1.87689 (2*2π)/431216 weeks
3-.46197 -2.11163 (3*2π)/431144 weeks
4.28643 -1.19237 (4*2π)/431108 weeks
51.56931 1.06238 (5*2π)/43186 weeks
6-.79695 1.24451 (6*2π)/43172 weeks
7.07517 -.38285 (7*2π)/43162 weeks
8-.33386 -.2176 (8*2π)/43154 weeks
9-.20693 -.53173 (9*2π)/43148 weeks
10.21712 .50086 (10*2π)/43143 weeks
11-.67237 -.02705 (11*2π)/43139 weeks
12.31891 .04079 (12*2π)/43136 weeks
13.24024 .15917 (13*2π)/43133 weeks
14-.24957 .06648 (14*2π)/43131 weeks
15.00572 -.35965 (15*2π)/43129 weeks
16.23078 .15259 (16*2π)/43127 weeks
17-.84405 -.13847 (17*2π)/43125 weeks
18.1082 -.66419 (18*2π)/43124 weeks
19.083 -.17158 (19*2π)/43123 weeks
20.4039 .27654 (20*2π)/43122 weeks
21-.1469 .13329 (21*2π)/43121 weeks
22-.44283 -.10541 (22*2π)/43120 weeks
23-.0157 -.39076 (23*2π)/43119 weeks
24.34993 .02957 (24*2π)/43118 weeks
25.09353 .19084 (25*2π)/43117 weeks
26-.24546 .15217 (26*2π)/43117 weeks
27-.29503 -.17199 (27*2π)/43116 weeks
28.17305 -.41022 (28*2π)/43115 weeks
29.12639 .21154 (29*2π)/43115 weeks
30-.28438 .15169 (30*2π)/43114 weeks
31-.26924 -.22013 (31*2π)/43114 weeks
32.2097 -.03579 (32*2π)/43113 weeks
33-.03955 .11837 (33*2π)/43113 weeks
34-.0561 -.19896 (34*2π)/43113 weeks
35-.01462 -.07075 (35*2π)/43112 weeks
36.08219 -.0392 (36*2π)/43112 weeks
37-.08157 .21171 (37*2π)/43112 weeks
38-.11075 -.13668 (38*2π)/43111 weeks
39.16675 -.03774 (39*2π)/43111 weeks
40.00193 .10785 (40*2π)/43111 weeks
41-.26837 -.05316 (41*2π)/43111 weeks
42.10077 -.20195 (42*2π)/43110 weeks
43.10698 .23073 (43*2π)/43110 weeks
44-.01221 .08746 (44*2π)/43110 weeks
45.01798 .03248 (45*2π)/43110 weeks
46-.1121 -.41002 (46*2π)/4319 weeks
47.23024 .00161 (47*2π)/4319 weeks
48-.02441 .11627 (48*2π)/4319 weeks
49-.10649 .00203 (49*2π)/4319 weeks
50-.03668 -.14052 (50*2π)/4319 weeks
51.02354 -.17489 (51*2π)/4318 weeks
52.20647 -.00218 (52*2π)/4318 weeks
53-.13027 .07321 (53*2π)/4318 weeks
54.08122 -.00617 (54*2π)/4318 weeks
55-.08725 .06567 (55*2π)/4318 weeks
56-.06732 -.02426 (56*2π)/4318 weeks
57.09481 .04055 (57*2π)/4318 weeks
58.09058 .00643 (58*2π)/4317 weeks
59-.08332 .21319 (59*2π)/4317 weeks
60-.1685 .02628 (60*2π)/4317 weeks
61.01732 -.24102 (61*2π)/4317 weeks
62.15869 -.13295 (62*2π)/4317 weeks
63.11993 .12932 (63*2π)/4317 weeks
64-.2275 .05892 (64*2π)/4317 weeks
65-.11551 -.25385 (65*2π)/4317 weeks
66.24663 -.15295 (66*2π)/4317 weeks
67.11293 .18795 (67*2π)/4316 weeks
68-.1232 -.01952 (68*2π)/4316 weeks
69-.05783 -.17499 (69*2π)/4316 weeks
70.08529 -.07525 (70*2π)/4316 weeks
71.09178 .07376 (71*2π)/4316 weeks
72.04768 .04504 (72*2π)/4316 weeks
73-.09481 .07645 (73*2π)/4316 weeks
74.04104 -.03495 (74*2π)/4316 weeks
75.0609 -.00774 (75*2π)/4316 weeks
76.05578 .06 (76*2π)/4316 weeks
77-.01365 .10726 (77*2π)/4316 weeks
78-.14416 -.09257 (78*2π)/4316 weeks
79-.02854 -.12598 (79*2π)/4315 weeks
80-.02664 -.00296 (80*2π)/4315 weeks
81.03099 .07596 (81*2π)/4315 weeks
82-.04621 .0276 (82*2π)/4315 weeks
83.04083 .00134 (83*2π)/4315 weeks
84-.03766 -.04421 (84*2π)/4315 weeks
85.03142 -.02889 (85*2π)/4315 weeks
86-.05166 .0896 (86*2π)/4315 weeks
87-.05001 -.00456 (87*2π)/4315 weeks
88-.16808 -.07582 (88*2π)/4315 weeks
89.03381 -.05409 (89*2π)/4315 weeks
90.0031 .04588 (90*2π)/4315 weeks
91-.06398 .05266 (91*2π)/4315 weeks
92-.06555 .00362 (92*2π)/4315 weeks
93-.01381 -.04179 (93*2π)/4315 weeks
94-.01814 -.00392 (94*2π)/4315 weeks
95-.00769 -.02091 (95*2π)/4315 weeks
96-.01165 -.00441 (96*2π)/4314 weeks
97-.09857 -.04806 (97*2π)/4314 weeks
98.03274 -.01306 (98*2π)/4314 weeks
99-.03201 -.03229 (99*2π)/4314 weeks
100-.03024 .00489 (100*2π)/4314 weeks
101.02592 .00236 (101*2π)/4314 weeks
102-.05253 -.09529 (102*2π)/4314 weeks
103.00249 -.10195 (103*2π)/4314 weeks
104.04723 -.03366 (104*2π)/4314 weeks
105.01207 .11335 (105*2π)/4314 weeks
106-.17743 .03669 (106*2π)/4314 weeks
107-.03107 -.1441 (107*2π)/4314 weeks
108.12047 -.07388 (108*2π)/4314 weeks
109.05335 .10401 (109*2π)/4314 weeks
110-.1184 .06517 (110*2π)/4314 weeks
111-.09441 -.07987 (111*2π)/4314 weeks
112.08071 -.01894 (112*2π)/4314 weeks
113-.00622 .02908 (113*2π)/4314 weeks
114-.02038 .01278 (114*2π)/4314 weeks
115-.04727 -.04891 (115*2π)/4314 weeks
116.02443 -.04821 (116*2π)/4314 weeks
117-.00668 -.00045 (117*2π)/4314 weeks
118.02007 .00891 (118*2π)/4314 weeks
119-.03507 .00803 (119*2π)/4314 weeks
120.00752 .03216 (120*2π)/4314 weeks
121.03217 -.00706 (121*2π)/4314 weeks
122.01292 -.02415 (122*2π)/4314 weeks
123.05297 .04404 (123*2π)/4314 weeks
124-.06439 .05558 (124*2π)/4313 weeks
125-.06509 -.00271 (125*2π)/4313 weeks
126.02572 -.11649 (126*2π)/4313 weeks
127.06257 -.01233 (127*2π)/4313 weeks
128.03173 .03501 (128*2π)/4313 weeks
129-.0591 .04239 (129*2π)/4313 weeks
130-.04652 -.05431 (130*2π)/4313 weeks
131.0182 -.06435 (131*2π)/4313 weeks
132.04048 .02394 (132*2π)/4313 weeks
133-.10346 -.00552 (133*2π)/4313 weeks
134-.03631 -.04819 (134*2π)/4313 weeks
135.00411 -.06158 (135*2π)/4313 weeks
136.03116 .03622 (136*2π)/4313 weeks
137-.0158 .03359 (137*2π)/4313 weeks
138-.01301 -.02236 (138*2π)/4313 weeks
139-.03121 -.03914 (139*2π)/4313 weeks
140.03327 -.00655 (140*2π)/4313 weeks
141-.05963 -.0384 (141*2π)/4313 weeks
142.00569 -.01232 (142*2π)/4313 weeks
143.00664 .05079 (143*2π)/4313 weeks
144.03107 .00026 (144*2π)/4313 weeks
145-.04098 .01857 (145*2π)/4313 weeks
146.03709 -.02904 (146*2π)/4313 weeks
147-.01511 .02729 (147*2π)/4313 weeks
148-.07868 .01308 (148*2π)/4313 weeks
149-.01666 -.01205 (149*2π)/4313 weeks
150.03066 -.00784 (150*2π)/4313 weeks
151.0034 .04355 (151*2π)/4313 weeks
152-.02126 .00579 (152*2π)/4313 weeks
153-.02746 -.06807 (153*2π)/4313 weeks
154.01358 -.04655 (154*2π)/4313 weeks
155.02292 -.00768 (155*2π)/4313 weeks
156.00578 -.01401 (156*2π)/4313 weeks
157-.00701 .02465 (157*2π)/4313 weeks
158.01619 .02398 (158*2π)/4313 weeks
159-.04179 -.00316 (159*2π)/4313 weeks
160.0372 -.03208 (160*2π)/4313 weeks
161.04099 .0324 (161*2π)/4313 weeks
162-.02955 -.00986 (162*2π)/4313 weeks
163-.00476 -.05174 (163*2π)/4313 weeks
164.02224 .0211 (164*2π)/4313 weeks
165.03998 .05312 (165*2π)/4313 weeks
166-.01929 .05053 (166*2π)/4313 weeks
167-.08352 -.02267 (167*2π)/4313 weeks
168.0406 -.04096 (168*2π)/4313 weeks
169.03982 .05223 (169*2π)/4313 weeks
170-.05144 .03312 (170*2π)/4313 weeks
171-.04775 -.00211 (171*2π)/4313 weeks
172-.04108 -.06796 (172*2π)/4313 weeks
173.03905 -.02182 (173*2π)/4312 weeks
174.03176 -.00168 (174*2π)/4312 weeks
175.04206 .01754 (175*2π)/4312 weeks
176-.02917 .02277 (176*2π)/4312 weeks
177-.03822 -.00873 (177*2π)/4312 weeks
178.03307 -.03108 (178*2π)/4312 weeks
179.00712 .05665 (179*2π)/4312 weeks
180-.01385 .02217 (180*2π)/4312 weeks
181-.07 .01321 (181*2π)/4312 weeks
182-.03027 -.06271 (182*2π)/4312 weeks
183.03255 .02411 (183*2π)/4312 weeks
184-.01836 .0073 (184*2π)/4312 weeks
185.00413 .05884 (185*2π)/4312 weeks
186-.08508 .00637 (186*2π)/4312 weeks
187.00072 -.08289 (187*2π)/4312 weeks
188.05038 -.03154 (188*2π)/4312 weeks
189.0272 .06353 (189*2π)/4312 weeks
190-.08464 .03096 (190*2π)/4312 weeks
191-.08127 -.03738 (191*2π)/4312 weeks
192.01627 -.03617 (192*2π)/4312 weeks
193.04151 -.02256 (193*2π)/4312 weeks
194-.0303 .02766 (194*2π)/4312 weeks
195-.00269 -.03104 (195*2π)/4312 weeks
196.02533 -.01485 (196*2π)/4312 weeks
197.00427 -.01342 (197*2π)/4312 weeks
198.03222 .06244 (198*2π)/4312 weeks
199-.05613 -.01297 (199*2π)/4312 weeks
200.05442 -.05161 (200*2π)/4312 weeks
201.05481 .0114 (201*2π)/4312 weeks
202-.0038 .02554 (202*2π)/4312 weeks
203-.02543 .00025 (203*2π)/4312 weeks
204-.00857 -.01161 (204*2π)/4312 weeks
205.02295 -.01284 (205*2π)/4312 weeks
206.03326 -.02189 (206*2π)/4312 weeks
207.01521 .00088 (207*2π)/4312 weeks
208.03458 .05044 (208*2π)/4312 weeks
209-.0754 .09962 (209*2π)/4312 weeks
210-.10112 -.0686 (210*2π)/4312 weeks
211.04751 -.03052 (211*2π)/4312 weeks
212.03022 .03196 (212*2π)/4312 weeks
213-.06315 .03916 (213*2π)/4312 weeks
214-.05422 -.04335 (214*2π)/4312 weeks
215.04564 -.04048 (215*2π)/4312 weeks
216.04564 .04048 (216*2π)/4312 weeks
217-.05422 .04335 (217*2π)/4312 weeks
218-.06315 -.03916 (218*2π)/4312 weeks
219.03022 -.03196 (219*2π)/4312 weeks
220.04751 .03052 (220*2π)/4312 weeks
221-.10112 .0686 (221*2π)/4312 weeks
222-.0754 -.09962 (222*2π)/4312 weeks
223.03458 -.05044 (223*2π)/4312 weeks
224.01521 -.00088 (224*2π)/4312 weeks
225.03326 .02189 (225*2π)/4312 weeks
226.02295 .01284 (226*2π)/4312 weeks
227-.00857 .01161 (227*2π)/4312 weeks
228-.02543 -.00025 (228*2π)/4312 weeks
229-.0038 -.02554 (229*2π)/4312 weeks
230.05481 -.0114 (230*2π)/4312 weeks
231.05442 .05161 (231*2π)/4312 weeks
232-.05613 .01297 (232*2π)/4312 weeks
233.03222 -.06244 (233*2π)/4312 weeks
234.00427 .01342 (234*2π)/4312 weeks
235.02533 .01485 (235*2π)/4312 weeks
236-.00269 .03104 (236*2π)/4312 weeks
237-.0303 -.02766 (237*2π)/4312 weeks
238.04151 .02256 (238*2π)/4312 weeks
239.01627 .03617 (239*2π)/4312 weeks
240-.08127 .03738 (240*2π)/4312 weeks
241-.08464 -.03096 (241*2π)/4312 weeks
242.0272 -.06353 (242*2π)/4312 weeks
243.05038 .03154 (243*2π)/4312 weeks
244.00072 .08289 (244*2π)/4312 weeks
245-.08508 -.00637 (245*2π)/4312 weeks
246.00413 -.05884 (246*2π)/4312 weeks
247-.01836 -.0073 (247*2π)/4312 weeks
248.03255 -.02411 (248*2π)/4312 weeks
249-.03027 .06271 (249*2π)/4312 weeks
250-.07 -.01321 (250*2π)/4312 weeks
251-.01385 -.02217 (251*2π)/4312 weeks
252.00712 -.05665 (252*2π)/4312 weeks
253.03307 .03108 (253*2π)/4312 weeks
254-.03822 .00873 (254*2π)/4312 weeks
255-.02917 -.02277 (255*2π)/4312 weeks
256.04206 -.01754 (256*2π)/4312 weeks
257.03176 .00168 (257*2π)/4312 weeks
258.03905 .02182 (258*2π)/4312 weeks
259-.04108 .06796 (259*2π)/4312 weeks
260-.04775 .00211 (260*2π)/4312 weeks
261-.05144 -.03312 (261*2π)/4312 weeks
262.03982 -.05223 (262*2π)/4312 weeks
263.0406 .04096 (263*2π)/4312 weeks
264-.08352 .02267 (264*2π)/4312 weeks
265-.01929 -.05053 (265*2π)/4312 weeks
266.03998 -.05312 (266*2π)/4312 weeks
267.02224 -.0211 (267*2π)/4312 weeks
268-.00476 .05174 (268*2π)/4312 weeks
269-.02955 .00986 (269*2π)/4312 weeks
270.04099 -.0324 (270*2π)/4312 weeks
271.0372 .03208 (271*2π)/4312 weeks
272-.04179 .00316 (272*2π)/4312 weeks
273.01619 -.02398 (273*2π)/4312 weeks
274-.00701 -.02465 (274*2π)/4312 weeks
275.00578 .01401 (275*2π)/4312 weeks
276.02292 .00768 (276*2π)/4312 weeks
277.01358 .04655 (277*2π)/4312 weeks
278-.02746 .06807 (278*2π)/4312 weeks
279-.02126 -.00579 (279*2π)/4312 weeks
280.0034 -.04355 (280*2π)/4312 weeks
281.03066 .00784 (281*2π)/4312 weeks
282-.01666 .01205 (282*2π)/4312 weeks
283-.07868 -.01308 (283*2π)/4312 weeks
284-.01511 -.02729 (284*2π)/4312 weeks
285.03709 .02904 (285*2π)/4312 weeks
286-.04098 -.01857 (286*2π)/4312 weeks
287.03107 -.00026 (287*2π)/4312 weeks
288.00664 -.05079 (288*2π)/4311 weeks
289.00569 .01232 (289*2π)/4311 weeks
290-.05963 .0384 (290*2π)/4311 weeks
291.03327 .00655 (291*2π)/4311 weeks
292-.03121 .03914 (292*2π)/4311 weeks
293-.01301 .02236 (293*2π)/4311 weeks
294-.0158 -.03359 (294*2π)/4311 weeks
295.03116 -.03622 (295*2π)/4311 weeks
296.00411 .06158 (296*2π)/4311 weeks
297-.03631 .04819 (297*2π)/4311 weeks
298-.10346 .00552 (298*2π)/4311 weeks
299.04048 -.02394 (299*2π)/4311 weeks
300.0182 .06435 (300*2π)/4311 weeks
301-.04652 .05431 (301*2π)/4311 weeks
302-.0591 -.04239 (302*2π)/4311 weeks
303.03173 -.03501 (303*2π)/4311 weeks
304.06257 .01233 (304*2π)/4311 weeks
305.02572 .11649 (305*2π)/4311 weeks
306-.06509 .00271 (306*2π)/4311 weeks
307-.06439 -.05558 (307*2π)/4311 weeks
308.05297 -.04404 (308*2π)/4311 weeks
309.01292 .02415 (309*2π)/4311 weeks
310.03217 .00706 (310*2π)/4311 weeks
311.00752 -.03216 (311*2π)/4311 weeks
312-.03507 -.00803 (312*2π)/4311 weeks
313.02007 -.00891 (313*2π)/4311 weeks
314-.00668 .00045 (314*2π)/4311 weeks
315.02443 .04821 (315*2π)/4311 weeks
316-.04727 .04891 (316*2π)/4311 weeks
317-.02038 -.01278 (317*2π)/4311 weeks
318-.00622 -.02908 (318*2π)/4311 weeks
319.08071 .01894 (319*2π)/4311 weeks
320-.09441 .07987 (320*2π)/4311 weeks
321-.1184 -.06517 (321*2π)/4311 weeks
322.05335 -.10401 (322*2π)/4311 weeks
323.12047 .07388 (323*2π)/4311 weeks
324-.03107 .1441 (324*2π)/4311 weeks
325-.17743 -.03669 (325*2π)/4311 weeks
326.01207 -.11335 (326*2π)/4311 weeks
327.04723 .03366 (327*2π)/4311 weeks
328.00249 .10195 (328*2π)/4311 weeks
329-.05253 .09529 (329*2π)/4311 weeks
330.02592 -.00236 (330*2π)/4311 weeks
331-.03024 -.00489 (331*2π)/4311 weeks
332-.03201 .03229 (332*2π)/4311 weeks
333.03274 .01306 (333*2π)/4311 weeks
334-.09857 .04806 (334*2π)/4311 weeks
335-.01165 .00441 (335*2π)/4311 weeks
336-.00769 .02091 (336*2π)/4311 weeks
337-.01814 .00392 (337*2π)/4311 weeks
338-.01381 .04179 (338*2π)/4311 weeks
339-.06555 -.00362 (339*2π)/4311 weeks
340-.06398 -.05266 (340*2π)/4311 weeks
341.0031 -.04588 (341*2π)/4311 weeks
342.03381 .05409 (342*2π)/4311 weeks
343-.16808 .07582 (343*2π)/4311 weeks
344-.05001 .00456 (344*2π)/4311 weeks
345-.05166 -.0896 (345*2π)/4311 weeks
346.03142 .02889 (346*2π)/4311 weeks
347-.03766 .04421 (347*2π)/4311 weeks
348.04083 -.00134 (348*2π)/4311 weeks
349-.04621 -.0276 (349*2π)/4311 weeks
350.03099 -.07596 (350*2π)/4311 weeks
351-.02664 .00296 (351*2π)/4311 weeks
352-.02854 .12598 (352*2π)/4311 weeks
353-.14416 .09257 (353*2π)/4311 weeks
354-.01365 -.10726 (354*2π)/4311 weeks
355.05578 -.06 (355*2π)/4311 weeks
356.0609 .00774 (356*2π)/4311 weeks
357.04104 .03495 (357*2π)/4311 weeks
358-.09481 -.07645 (358*2π)/4311 weeks
359.04768 -.04504 (359*2π)/4311 weeks
360.09178 -.07376 (360*2π)/4311 weeks
361.08529 .07525 (361*2π)/4311 weeks
362-.05783 .17499 (362*2π)/4311 weeks
363-.1232 .01952 (363*2π)/4311 weeks
364.11293 -.18795 (364*2π)/4311 weeks
365.24663 .15295 (365*2π)/4311 weeks
366-.11551 .25385 (366*2π)/4311 weeks
367-.2275 -.05892 (367*2π)/4311 weeks
368.11993 -.12932 (368*2π)/4311 weeks
369.15869 .13295 (369*2π)/4311 weeks
370.01732 .24102 (370*2π)/4311 weeks
371-.1685 -.02628 (371*2π)/4311 weeks
372-.08332 -.21319 (372*2π)/4311 weeks
373.09058 -.00643 (373*2π)/4311 weeks
374.09481 -.04055 (374*2π)/4311 weeks
375-.06732 .02426 (375*2π)/4311 weeks
376-.08725 -.06567 (376*2π)/4311 weeks
377.08122 .00617 (377*2π)/4311 weeks
378-.13027 -.07321 (378*2π)/4311 weeks
379.20647 .00218 (379*2π)/4311 weeks
380.02354 .17489 (380*2π)/4311 weeks
381-.03668 .14052 (381*2π)/4311 weeks
382-.10649 -.00203 (382*2π)/4311 weeks
383-.02441 -.11627 (383*2π)/4311 weeks
384.23024 -.00161 (384*2π)/4311 weeks
385-.1121 .41002 (385*2π)/4311 weeks
386.01798 -.03248 (386*2π)/4311 weeks
387-.01221 -.08746 (387*2π)/4311 weeks
388.10698 -.23073 (388*2π)/4311 weeks
389.10077 .20195 (389*2π)/4311 weeks
390-.26837 .05316 (390*2π)/4311 weeks
391.00193 -.10785 (391*2π)/4311 weeks
392.16675 .03774 (392*2π)/4311 weeks
393-.11075 .13668 (393*2π)/4311 weeks
394-.08157 -.21171 (394*2π)/4311 weeks
395.08219 .0392 (395*2π)/4311 weeks
396-.01462 .07075 (396*2π)/4311 weeks
397-.0561 .19896 (397*2π)/4311 weeks
398-.03955 -.11837 (398*2π)/4311 weeks
399.2097 .03579 (399*2π)/4311 weeks
400-.26924 .22013 (400*2π)/4311 weeks
401-.28438 -.15169 (401*2π)/4311 weeks
402.12639 -.21154 (402*2π)/4311 weeks
403.17305 .41022 (403*2π)/4311 weeks
404-.29503 .17199 (404*2π)/4311 weeks
405-.24546 -.15217 (405*2π)/4311 weeks
406.09353 -.19084 (406*2π)/4311 weeks
407.34993 -.02957 (407*2π)/4311 weeks
408-.0157 .39076 (408*2π)/4311 weeks
409-.44283 .10541 (409*2π)/4311 weeks
410-.1469 -.13329 (410*2π)/4311 weeks
411.4039 -.27654 (411*2π)/4311 weeks
412.083 .17158 (412*2π)/4311 weeks
413.1082 .66419 (413*2π)/4311 weeks
414-.84405 .13847 (414*2π)/4311 weeks
415.23078 -.15259 (415*2π)/4311 weeks
416.00572 .35965 (416*2π)/4311 weeks
417-.24957 -.06648 (417*2π)/4311 weeks
418.24024 -.15917 (418*2π)/4311 weeks
419.31891 -.04079 (419*2π)/4311 weeks
420-.67237 .02705 (420*2π)/4311 weeks
421.21712 -.50086 (421*2π)/4311 weeks
422-.20693 .53173 (422*2π)/4311 weeks
423-.33386 .2176 (423*2π)/4311 weeks
424.07517 .38285 (424*2π)/4311 weeks
425-.79695 -1.24451 (425*2π)/4311 weeks
4261.56931 -1.06238 (426*2π)/4311 weeks
427.28643 1.19237 (427*2π)/4311 weeks
428-.46197 2.11163 (428*2π)/4311 weeks
429-3.05753 1.87689 (429*2π)/4311 weeks



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