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Fourier Analysis of JO (iPath® Bloomberg Coffee Subindex Total Return ETN)


JO (iPath® Bloomberg Coffee Subindex Total Return ETN) appears to have interesting cyclic behaviour every 36 weeks (1.429*sine), 26 weeks (1.1842*sine), and 43 weeks (1.1829*sine).

JO (iPath® Bloomberg Coffee Subindex Total Return ETN) has an average price of 36.04 (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 6/25/2008 to 7/17/2017 for JO (iPath® Bloomberg Coffee Subindex Total Return ETN), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
036.04257   0 
1-6.12271 15.32483 (1*2π)/474474 weeks
2-5.00934 -2.54915 (2*2π)/474237 weeks
37.8083 2.02172 (3*2π)/474158 weeks
4-.51619 2.08362 (4*2π)/474119 weeks
5-3.17369 1.3184 (5*2π)/47495 weeks
62.39275 .27737 (6*2π)/47479 weeks
7.40763 1.22842 (7*2π)/47468 weeks
8.29484 2.08757 (8*2π)/47459 weeks
9.3483 .96076 (9*2π)/47453 weeks
10.45615 1.18172 (10*2π)/47447 weeks
11.73424 1.18295 (11*2π)/47443 weeks
12-.41022 .20285 (12*2π)/47440 weeks
131.14407 1.42904 (13*2π)/47436 weeks
14.34383 1.17547 (14*2π)/47434 weeks
15-.76772 .6775 (15*2π)/47432 weeks
16.20631 .97536 (16*2π)/47430 weeks
17.50714 .09015 (17*2π)/47428 weeks
18-.31778 1.18424 (18*2π)/47426 weeks
19.26654 .56096 (19*2π)/47425 weeks
20.18024 .44672 (20*2π)/47424 weeks
21-.17434 .99285 (21*2π)/47423 weeks
22.34231 .41416 (22*2π)/47422 weeks
23-.01571 .63778 (23*2π)/47421 weeks
24-.27145 .74005 (24*2π)/47420 weeks
25.051 .09784 (25*2π)/47419 weeks
26.18554 .32937 (26*2π)/47418 weeks
27-.14641 .27952 (27*2π)/47418 weeks
28.08561 -.07407 (28*2π)/47417 weeks
29-.01775 .21286 (29*2π)/47416 weeks
30.05767 .11857 (30*2π)/47416 weeks
31.06104 .16421 (31*2π)/47415 weeks
32.25052 .76252 (32*2π)/47415 weeks
33.04594 .29871 (33*2π)/47414 weeks
34.12477 .32309 (34*2π)/47414 weeks
35.11607 .24666 (35*2π)/47414 weeks
36.2346 .41931 (36*2π)/47413 weeks
37.06367 .00441 (37*2π)/47413 weeks
38.17572 .2672 (38*2π)/47412 weeks
39-.18817 .23355 (39*2π)/47412 weeks
40.59674 -.07178 (40*2π)/47412 weeks
41.16327 .23873 (41*2π)/47412 weeks
42.10771 .07453 (42*2π)/47411 weeks
43.38107 .42409 (43*2π)/47411 weeks
44-.40772 .09937 (44*2π)/47411 weeks
45.241 .11628 (45*2π)/47411 weeks
46.13196 .16967 (46*2π)/47410 weeks
47.05285 .20282 (47*2π)/47410 weeks
48.3414 .08641 (48*2π)/47410 weeks
49.3068 .30012 (49*2π)/47410 weeks
50.13703 .45818 (50*2π)/4749 weeks
51.51821 .18827 (51*2π)/4749 weeks
52.07688 .77191 (52*2π)/4749 weeks
53-.34449 -.10349 (53*2π)/4749 weeks
54.3018 .0231 (54*2π)/4749 weeks
55.06414 .52331 (55*2π)/4749 weeks
56-.01693 -.08101 (56*2π)/4748 weeks
57-.11801 -.1818 (57*2π)/4748 weeks
58.35574 .41461 (58*2π)/4748 weeks
59.05359 .20276 (59*2π)/4748 weeks
60.05711 .14502 (60*2π)/4748 weeks
61.2036 .37577 (61*2π)/4748 weeks
62.10174 -.06761 (62*2π)/4748 weeks
63-.02213 .24143 (63*2π)/4748 weeks
64.01587 .27605 (64*2π)/4747 weeks
65.15874 -.02112 (65*2π)/4747 weeks
66.08525 .26109 (66*2π)/4747 weeks
67.00308 .03755 (67*2π)/4747 weeks
68.06393 .04657 (68*2π)/4747 weeks
69.17734 .18854 (69*2π)/4747 weeks
70-.01869 .17716 (70*2π)/4747 weeks
71.04911 .06376 (71*2π)/4747 weeks
72.20309 .18954 (72*2π)/4747 weeks
73-.09148 -.02943 (73*2π)/4746 weeks
74.3494 .2044 (74*2π)/4746 weeks
75.18387 .26453 (75*2π)/4746 weeks
76-.19619 -.14702 (76*2π)/4746 weeks
77.25087 .16522 (77*2π)/4746 weeks
78.08436 .3849 (78*2π)/4746 weeks
79-.16073 -.03795 (79*2π)/4746 weeks
80.12492 .15982 (80*2π)/4746 weeks
81.15181 .1503 (81*2π)/4746 weeks
82.14133 .02962 (82*2π)/4746 weeks
83.08786 .05457 (83*2π)/4746 weeks
84.12044 .37369 (84*2π)/4746 weeks
85-.05957 .14556 (85*2π)/4746 weeks
86.03543 -.04249 (86*2π)/4746 weeks
87.11697 .08658 (87*2π)/4745 weeks
88.24373 .21518 (88*2π)/4745 weeks
89.00288 -.04028 (89*2π)/4745 weeks
90.06181 .11183 (90*2π)/4745 weeks
91.16516 .15096 (91*2π)/4745 weeks
92-.03027 -.0068 (92*2π)/4745 weeks
93.10151 .11429 (93*2π)/4745 weeks
94.17142 .08562 (94*2π)/4745 weeks
95-.09056 -.08223 (95*2π)/4745 weeks
96.09422 .14755 (96*2π)/4745 weeks
97.18993 .14869 (97*2π)/4745 weeks
98.04813 -.06524 (98*2π)/4745 weeks
99.22945 .17761 (99*2π)/4745 weeks
100.06874 .19361 (100*2π)/4745 weeks
101.0574 .00811 (101*2π)/4745 weeks
102-.01782 .07135 (102*2π)/4745 weeks
103.09811 .17988 (103*2π)/4745 weeks
104.08581 -.04298 (104*2π)/4745 weeks
105.1643 -.01867 (105*2π)/4745 weeks
106.20615 .18324 (106*2π)/4744 weeks
107.09373 .2031 (107*2π)/4744 weeks
108.02875 -.00035 (108*2π)/4744 weeks
109-.00456 .11429 (109*2π)/4744 weeks
110.18994 .15339 (110*2π)/4744 weeks
111.07989 .10468 (111*2π)/4744 weeks
112.08896 .09543 (112*2π)/4744 weeks
113.05108 .04564 (113*2π)/4744 weeks
114.08559 .14471 (114*2π)/4744 weeks
115.09917 .15071 (115*2π)/4744 weeks
116.00892 .03626 (116*2π)/4744 weeks
117.04211 .09839 (117*2π)/4744 weeks
118.14416 .14064 (118*2π)/4744 weeks
119.02261 .17163 (119*2π)/4744 weeks
120.13074 .13499 (120*2π)/4744 weeks
121.17572 .15945 (121*2π)/4744 weeks
122-.05216 .07533 (122*2π)/4744 weeks
123.11059 -.06405 (123*2π)/4744 weeks
124.10891 .15644 (124*2π)/4744 weeks
125-.06636 .13992 (125*2π)/4744 weeks
126.07218 -.03842 (126*2π)/4744 weeks
127.10283 .08608 (127*2π)/4744 weeks
128.03593 .14651 (128*2π)/4744 weeks
129.0963 .04531 (129*2π)/4744 weeks
130-.00212 .03944 (130*2π)/4744 weeks
131.03294 .08324 (131*2π)/4744 weeks
132.0755 -.01677 (132*2π)/4744 weeks
133.0754 .06347 (133*2π)/4744 weeks
134.05287 .07525 (134*2π)/4744 weeks
135.06522 .11861 (135*2π)/4744 weeks
136.12193 .1045 (136*2π)/4743 weeks
137.03057 -.01918 (137*2π)/4743 weeks
138.04121 .10005 (138*2π)/4743 weeks
139.02677 .06462 (139*2π)/4743 weeks
140.18468 .04226 (140*2π)/4743 weeks
141-.02043 .08261 (141*2π)/4743 weeks
142-.04145 .13165 (142*2π)/4743 weeks
143.11209 .02628 (143*2π)/4743 weeks
144.0192 .07898 (144*2π)/4743 weeks
145.02377 .02538 (145*2π)/4743 weeks
146.02138 .02129 (146*2π)/4743 weeks
147.09538 -.04695 (147*2π)/4743 weeks
148.18373 .07695 (148*2π)/4743 weeks
149.0724 .03597 (149*2π)/4743 weeks
150.04438 .02828 (150*2π)/4743 weeks
151.1173 .05495 (151*2π)/4743 weeks
152.06505 -.04109 (152*2π)/4743 weeks
153.18764 .05186 (153*2π)/4743 weeks
154.10096 .04483 (154*2π)/4743 weeks
155.00851 .05676 (155*2π)/4743 weeks
156.13101 .16803 (156*2π)/4743 weeks
157.05115 .11122 (157*2π)/4743 weeks
158-.05484 .02496 (158*2π)/4743 weeks
159.02321 .02228 (159*2π)/4743 weeks
160.05302 .03552 (160*2π)/4743 weeks
161.16828 .04679 (161*2π)/4743 weeks
162.06622 .08624 (162*2π)/4743 weeks
163.04926 -.04157 (163*2π)/4743 weeks
164.07469 .08315 (164*2π)/4743 weeks
165.0053 -.05737 (165*2π)/4743 weeks
166.12638 .08191 (166*2π)/4743 weeks
167-.06322 .01535 (167*2π)/4743 weeks
168.06767 -.03645 (168*2π)/4743 weeks
169.02375 -.00842 (169*2π)/4743 weeks
170.07884 -.03531 (170*2π)/4743 weeks
171.04637 .0589 (171*2π)/4743 weeks
172.16745 .01125 (172*2π)/4743 weeks
173.10528 -.00402 (173*2π)/4743 weeks
174.09339 .07331 (174*2π)/4743 weeks
175.11232 -.01176 (175*2π)/4743 weeks
176.07168 .04251 (176*2π)/4743 weeks
177.08286 .04476 (177*2π)/4743 weeks
178.16271 .00115 (178*2π)/4743 weeks
179.1518 .04547 (179*2π)/4743 weeks
180-.01903 .11674 (180*2π)/4743 weeks
181.0719 .05671 (181*2π)/4743 weeks
182.07835 .09913 (182*2π)/4743 weeks
183.05397 .00115 (183*2π)/4743 weeks
184-.04489 .12803 (184*2π)/4743 weeks
185.08652 .01447 (185*2π)/4743 weeks
186.11961 -.03309 (186*2π)/4743 weeks
187.01163 .03745 (187*2π)/4743 weeks
188.11449 .028 (188*2π)/4743 weeks
189.0624 -.00291 (189*2π)/4743 weeks
190.05023 .0849 (190*2π)/4742 weeks
191.04112 .03877 (191*2π)/4742 weeks
192.06483 .05995 (192*2π)/4742 weeks
193.06219 .08329 (193*2π)/4742 weeks
194.01841 -.01832 (194*2π)/4742 weeks
195.07228 .04404 (195*2π)/4742 weeks
196.14386 .04957 (196*2π)/4742 weeks
197.00408 -.01863 (197*2π)/4742 weeks
198.02857 .02906 (198*2π)/4742 weeks
199.06967 -.00724 (199*2π)/4742 weeks
200.1194 .01658 (200*2π)/4742 weeks
201.04479 .10006 (201*2π)/4742 weeks
202.02655 -.06131 (202*2π)/4742 weeks
203.05875 .09008 (203*2π)/4742 weeks
204.07256 .02414 (204*2π)/4742 weeks
205.02395 -.05393 (205*2π)/4742 weeks
206.0238 .01268 (206*2π)/4742 weeks
207.07061 -.03054 (207*2π)/4742 weeks
208.09416 -.01747 (208*2π)/4742 weeks
209.14063 .09331 (209*2π)/4742 weeks
210.04417 .01718 (210*2π)/4742 weeks
211.03236 -.03853 (211*2π)/4742 weeks
212.06949 .00451 (212*2π)/4742 weeks
213.18168 -.01791 (213*2π)/4742 weeks
214.01456 .0345 (214*2π)/4742 weeks
215.08851 .02616 (215*2π)/4742 weeks
216.06163 -.04409 (216*2π)/4742 weeks
217.04863 .03863 (217*2π)/4742 weeks
218.05357 .12536 (218*2π)/4742 weeks
219.09264 -.05499 (219*2π)/4742 weeks
220.12695 .02219 (220*2π)/4742 weeks
221.1242 .08715 (221*2π)/4742 weeks
222.05221 .0014 (222*2π)/4742 weeks
223.08715 .03957 (223*2π)/4742 weeks
224.02069 .04249 (224*2π)/4742 weeks
225.00282 .04082 (225*2π)/4742 weeks
226-.00129 -.02685 (226*2π)/4742 weeks
227.03461 .04456 (227*2π)/4742 weeks
228.12274 -.07826 (228*2π)/4742 weeks
229.00466 -.05306 (229*2π)/4742 weeks
230-.00744 -.05129 (230*2π)/4742 weeks
231.14364 .03484 (231*2π)/4742 weeks
232.06801 -.03299 (232*2π)/4742 weeks
233.01248 -.00773 (233*2π)/4742 weeks
234.07104 -.04614 (234*2π)/4742 weeks
235.09622 .00617 (235*2π)/4742 weeks
236.10237 -.0445 (236*2π)/4742 weeks
237.13099   (237*2π)/4742 weeks
238.10237 .0445 (238*2π)/4742 weeks
239.09622 -.00617 (239*2π)/4742 weeks
240.07104 .04614 (240*2π)/4742 weeks
241.01248 .00773 (241*2π)/4742 weeks
242.06801 .03299 (242*2π)/4742 weeks
243.14364 -.03484 (243*2π)/4742 weeks
244-.00744 .05129 (244*2π)/4742 weeks
245.00466 .05306 (245*2π)/4742 weeks
246.12274 .07826 (246*2π)/4742 weeks
247.03461 -.04456 (247*2π)/4742 weeks
248-.00129 .02685 (248*2π)/4742 weeks
249.00282 -.04082 (249*2π)/4742 weeks
250.02069 -.04249 (250*2π)/4742 weeks
251.08715 -.03957 (251*2π)/4742 weeks
252.05221 -.0014 (252*2π)/4742 weeks
253.1242 -.08715 (253*2π)/4742 weeks
254.12695 -.02219 (254*2π)/4742 weeks
255.09264 .05499 (255*2π)/4742 weeks
256.05357 -.12536 (256*2π)/4742 weeks
257.04863 -.03863 (257*2π)/4742 weeks
258.06163 .04409 (258*2π)/4742 weeks
259.08851 -.02616 (259*2π)/4742 weeks
260.01456 -.0345 (260*2π)/4742 weeks
261.18168 .01791 (261*2π)/4742 weeks
262.06949 -.00451 (262*2π)/4742 weeks
263.03236 .03853 (263*2π)/4742 weeks
264.04417 -.01718 (264*2π)/4742 weeks
265.14063 -.09331 (265*2π)/4742 weeks
266.09416 .01747 (266*2π)/4742 weeks
267.07061 .03054 (267*2π)/4742 weeks
268.0238 -.01268 (268*2π)/4742 weeks
269.02395 .05393 (269*2π)/4742 weeks
270.07256 -.02414 (270*2π)/4742 weeks
271.05875 -.09008 (271*2π)/4742 weeks
272.02655 .06131 (272*2π)/4742 weeks
273.04479 -.10006 (273*2π)/4742 weeks
274.1194 -.01658 (274*2π)/4742 weeks
275.06967 .00724 (275*2π)/4742 weeks
276.02857 -.02906 (276*2π)/4742 weeks
277.00408 .01863 (277*2π)/4742 weeks
278.14386 -.04957 (278*2π)/4742 weeks
279.07228 -.04404 (279*2π)/4742 weeks
280.01841 .01832 (280*2π)/4742 weeks
281.06219 -.08329 (281*2π)/4742 weeks
282.06483 -.05995 (282*2π)/4742 weeks
283.04112 -.03877 (283*2π)/4742 weeks
284.05023 -.0849 (284*2π)/4742 weeks
285.0624 .00291 (285*2π)/4742 weeks
286.11449 -.028 (286*2π)/4742 weeks
287.01163 -.03745 (287*2π)/4742 weeks
288.11961 .03309 (288*2π)/4742 weeks
289.08652 -.01447 (289*2π)/4742 weeks
290-.04489 -.12803 (290*2π)/4742 weeks
291.05397 -.00115 (291*2π)/4742 weeks
292.07835 -.09913 (292*2π)/4742 weeks
293.0719 -.05671 (293*2π)/4742 weeks
294-.01903 -.11674 (294*2π)/4742 weeks
295.1518 -.04547 (295*2π)/4742 weeks
296.16271 -.00115 (296*2π)/4742 weeks
297.08286 -.04476 (297*2π)/4742 weeks
298.07168 -.04251 (298*2π)/4742 weeks
299.11232 .01176 (299*2π)/4742 weeks
300.09339 -.07331 (300*2π)/4742 weeks
301.10528 .00402 (301*2π)/4742 weeks
302.16745 -.01125 (302*2π)/4742 weeks
303.04637 -.0589 (303*2π)/4742 weeks
304.07884 .03531 (304*2π)/4742 weeks
305.02375 .00842 (305*2π)/4742 weeks
306.06767 .03645 (306*2π)/4742 weeks
307-.06322 -.01535 (307*2π)/4742 weeks
308.12638 -.08191 (308*2π)/4742 weeks
309.0053 .05737 (309*2π)/4742 weeks
310.07469 -.08315 (310*2π)/4742 weeks
311.04926 .04157 (311*2π)/4742 weeks
312.06622 -.08624 (312*2π)/4742 weeks
313.16828 -.04679 (313*2π)/4742 weeks
314.05302 -.03552 (314*2π)/4742 weeks
315.02321 -.02228 (315*2π)/4742 weeks
316-.05484 -.02496 (316*2π)/4742 weeks
317.05115 -.11122 (317*2π)/4741 weeks
318.13101 -.16803 (318*2π)/4741 weeks
319.00851 -.05676 (319*2π)/4741 weeks
320.10096 -.04483 (320*2π)/4741 weeks
321.18764 -.05186 (321*2π)/4741 weeks
322.06505 .04109 (322*2π)/4741 weeks
323.1173 -.05495 (323*2π)/4741 weeks
324.04438 -.02828 (324*2π)/4741 weeks
325.0724 -.03597 (325*2π)/4741 weeks
326.18373 -.07695 (326*2π)/4741 weeks
327.09538 .04695 (327*2π)/4741 weeks
328.02138 -.02129 (328*2π)/4741 weeks
329.02377 -.02538 (329*2π)/4741 weeks
330.0192 -.07898 (330*2π)/4741 weeks
331.11209 -.02628 (331*2π)/4741 weeks
332-.04145 -.13165 (332*2π)/4741 weeks
333-.02043 -.08261 (333*2π)/4741 weeks
334.18468 -.04226 (334*2π)/4741 weeks
335.02677 -.06462 (335*2π)/4741 weeks
336.04121 -.10005 (336*2π)/4741 weeks
337.03057 .01918 (337*2π)/4741 weeks
338.12193 -.1045 (338*2π)/4741 weeks
339.06522 -.11861 (339*2π)/4741 weeks
340.05287 -.07525 (340*2π)/4741 weeks
341.0754 -.06347 (341*2π)/4741 weeks
342.0755 .01677 (342*2π)/4741 weeks
343.03294 -.08324 (343*2π)/4741 weeks
344-.00212 -.03944 (344*2π)/4741 weeks
345.0963 -.04531 (345*2π)/4741 weeks
346.03593 -.14651 (346*2π)/4741 weeks
347.10283 -.08608 (347*2π)/4741 weeks
348.07218 .03842 (348*2π)/4741 weeks
349-.06636 -.13992 (349*2π)/4741 weeks
350.10891 -.15644 (350*2π)/4741 weeks
351.11059 .06405 (351*2π)/4741 weeks
352-.05216 -.07533 (352*2π)/4741 weeks
353.17572 -.15945 (353*2π)/4741 weeks
354.13074 -.13499 (354*2π)/4741 weeks
355.02261 -.17163 (355*2π)/4741 weeks
356.14416 -.14064 (356*2π)/4741 weeks
357.04211 -.09839 (357*2π)/4741 weeks
358.00892 -.03626 (358*2π)/4741 weeks
359.09917 -.15071 (359*2π)/4741 weeks
360.08559 -.14471 (360*2π)/4741 weeks
361.05108 -.04564 (361*2π)/4741 weeks
362.08896 -.09543 (362*2π)/4741 weeks
363.07989 -.10468 (363*2π)/4741 weeks
364.18994 -.15339 (364*2π)/4741 weeks
365-.00456 -.11429 (365*2π)/4741 weeks
366.02875 .00035 (366*2π)/4741 weeks
367.09373 -.2031 (367*2π)/4741 weeks
368.20615 -.18324 (368*2π)/4741 weeks
369.1643 .01867 (369*2π)/4741 weeks
370.08581 .04298 (370*2π)/4741 weeks
371.09811 -.17988 (371*2π)/4741 weeks
372-.01782 -.07135 (372*2π)/4741 weeks
373.0574 -.00811 (373*2π)/4741 weeks
374.06874 -.19361 (374*2π)/4741 weeks
375.22945 -.17761 (375*2π)/4741 weeks
376.04813 .06524 (376*2π)/4741 weeks
377.18993 -.14869 (377*2π)/4741 weeks
378.09422 -.14755 (378*2π)/4741 weeks
379-.09056 .08223 (379*2π)/4741 weeks
380.17142 -.08562 (380*2π)/4741 weeks
381.10151 -.11429 (381*2π)/4741 weeks
382-.03027 .0068 (382*2π)/4741 weeks
383.16516 -.15096 (383*2π)/4741 weeks
384.06181 -.11183 (384*2π)/4741 weeks
385.00288 .04028 (385*2π)/4741 weeks
386.24373 -.21518 (386*2π)/4741 weeks
387.11697 -.08658 (387*2π)/4741 weeks
388.03543 .04249 (388*2π)/4741 weeks
389-.05957 -.14556 (389*2π)/4741 weeks
390.12044 -.37369 (390*2π)/4741 weeks
391.08786 -.05457 (391*2π)/4741 weeks
392.14133 -.02962 (392*2π)/4741 weeks
393.15181 -.1503 (393*2π)/4741 weeks
394.12492 -.15982 (394*2π)/4741 weeks
395-.16073 .03795 (395*2π)/4741 weeks
396.08436 -.3849 (396*2π)/4741 weeks
397.25087 -.16522 (397*2π)/4741 weeks
398-.19619 .14702 (398*2π)/4741 weeks
399.18387 -.26453 (399*2π)/4741 weeks
400.3494 -.2044 (400*2π)/4741 weeks
401-.09148 .02943 (401*2π)/4741 weeks
402.20309 -.18954 (402*2π)/4741 weeks
403.04911 -.06376 (403*2π)/4741 weeks
404-.01869 -.17716 (404*2π)/4741 weeks
405.17734 -.18854 (405*2π)/4741 weeks
406.06393 -.04657 (406*2π)/4741 weeks
407.00308 -.03755 (407*2π)/4741 weeks
408.08525 -.26109 (408*2π)/4741 weeks
409.15874 .02112 (409*2π)/4741 weeks
410.01587 -.27605 (410*2π)/4741 weeks
411-.02213 -.24143 (411*2π)/4741 weeks
412.10174 .06761 (412*2π)/4741 weeks
413.2036 -.37577 (413*2π)/4741 weeks
414.05711 -.14502 (414*2π)/4741 weeks
415.05359 -.20276 (415*2π)/4741 weeks
416.35574 -.41461 (416*2π)/4741 weeks
417-.11801 .1818 (417*2π)/4741 weeks
418-.01693 .08101 (418*2π)/4741 weeks
419.06414 -.52331 (419*2π)/4741 weeks
420.3018 -.0231 (420*2π)/4741 weeks
421-.34449 .10349 (421*2π)/4741 weeks
422.07688 -.77191 (422*2π)/4741 weeks
423.51821 -.18827 (423*2π)/4741 weeks
424.13703 -.45818 (424*2π)/4741 weeks
425.3068 -.30012 (425*2π)/4741 weeks
426.3414 -.08641 (426*2π)/4741 weeks
427.05285 -.20282 (427*2π)/4741 weeks
428.13196 -.16967 (428*2π)/4741 weeks
429.241 -.11628 (429*2π)/4741 weeks
430-.40772 -.09937 (430*2π)/4741 weeks
431.38107 -.42409 (431*2π)/4741 weeks
432.10771 -.07453 (432*2π)/4741 weeks
433.16327 -.23873 (433*2π)/4741 weeks
434.59674 .07178 (434*2π)/4741 weeks
435-.18817 -.23355 (435*2π)/4741 weeks
436.17572 -.2672 (436*2π)/4741 weeks
437.06367 -.00441 (437*2π)/4741 weeks
438.2346 -.41931 (438*2π)/4741 weeks
439.11607 -.24666 (439*2π)/4741 weeks
440.12477 -.32309 (440*2π)/4741 weeks
441.04594 -.29871 (441*2π)/4741 weeks
442.25052 -.76252 (442*2π)/4741 weeks
443.06104 -.16421 (443*2π)/4741 weeks
444.05767 -.11857 (444*2π)/4741 weeks
445-.01775 -.21286 (445*2π)/4741 weeks
446.08561 .07407 (446*2π)/4741 weeks
447-.14641 -.27952 (447*2π)/4741 weeks
448.18554 -.32937 (448*2π)/4741 weeks
449.051 -.09784 (449*2π)/4741 weeks
450-.27145 -.74005 (450*2π)/4741 weeks
451-.01571 -.63778 (451*2π)/4741 weeks
452.34231 -.41416 (452*2π)/4741 weeks
453-.17434 -.99285 (453*2π)/4741 weeks
454.18024 -.44672 (454*2π)/4741 weeks
455.26654 -.56096 (455*2π)/4741 weeks
456-.31778 -1.18424 (456*2π)/4741 weeks
457.50714 -.09015 (457*2π)/4741 weeks
458.20631 -.97536 (458*2π)/4741 weeks
459-.76772 -.6775 (459*2π)/4741 weeks
460.34383 -1.17547 (460*2π)/4741 weeks
4611.14407 -1.42904 (461*2π)/4741 weeks
462-.41022 -.20285 (462*2π)/4741 weeks
463.73424 -1.18295 (463*2π)/4741 weeks
464.45615 -1.18172 (464*2π)/4741 weeks
465.3483 -.96076 (465*2π)/4741 weeks
466.29484 -2.08757 (466*2π)/4741 weeks
467.40763 -1.22842 (467*2π)/4741 weeks
4682.39275 -.27737 (468*2π)/4741 weeks
469-3.17369 -1.3184 (469*2π)/4741 weeks
470-.51619 -2.08362 (470*2π)/4741 weeks
4717.8083 -2.02172 (471*2π)/4741 weeks
472-5.00934 2.54915 (472*2π)/4741 weeks



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