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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 32 weeks (1.4781*sine), 37 weeks (1.3335*cosine), and 35 weeks (1.2087*sine).

JO (iPath® Bloomberg Coffee Subindex Total Return ETN) has an average price of 35.55 (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 10/16/2017 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
035.54517   0 
1-5.60565 15.71639 (1*2π)/487487 weeks
2-5.42131 -1.77104 (2*2π)/487244 weeks
37.60135 .49681 (3*2π)/487162 weeks
4-1.04899 2.76024 (4*2π)/487122 weeks
5-2.67506 2.71471 (5*2π)/48797 weeks
62.11641 -.50591 (6*2π)/48781 weeks
7.53962 1.69174 (7*2π)/48770 weeks
8.97932 2.00635 (8*2π)/48761 weeks
9.29278 .88636 (9*2π)/48754 weeks
10.60807 .9863 (10*2π)/48749 weeks
11.55966 .77492 (11*2π)/48744 weeks
12-.47667 1.10211 (12*2π)/48741 weeks
131.33353 .4246 (13*2π)/48737 weeks
14.15025 1.20868 (14*2π)/48735 weeks
15-.3393 1.47807 (15*2π)/48732 weeks
16.3247 .26035 (16*2π)/48730 weeks
17-.30436 .33388 (17*2π)/48729 weeks
18.68876 1.08696 (18*2π)/48727 weeks
19-.21576 .2786 (19*2π)/48726 weeks
20.0147 .5996 (20*2π)/48724 weeks
21.34988 .65758 (21*2π)/48723 weeks
22-.38872 .36043 (22*2π)/48722 weeks
23.14157 .71005 (23*2π)/48721 weeks
24-.05324 .61706 (24*2π)/48720 weeks
25-.5343 .44408 (25*2π)/48719 weeks
26.0381 .29113 (26*2π)/48719 weeks
27.07712 .52766 (27*2π)/48718 weeks
28-.14526 .28639 (28*2π)/48717 weeks
29.26026 .08873 (29*2π)/48717 weeks
30.04475 .16306 (30*2π)/48716 weeks
31.13397 .09269 (31*2π)/48716 weeks
32.11934 .0612 (32*2π)/48715 weeks
33.05834 .73777 (33*2π)/48715 weeks
34.02988 .31458 (34*2π)/48714 weeks
35.09965 .34496 (35*2π)/48714 weeks
36.11127 .26181 (36*2π)/48714 weeks
37.22727 .43106 (37*2π)/48713 weeks
38.05792 .01361 (38*2π)/48713 weeks
39.17986 .25897 (39*2π)/48712 weeks
40-.14488 .26998 (40*2π)/48712 weeks
41.50594 -.19685 (41*2π)/48712 weeks
42.13428 .25908 (42*2π)/48712 weeks
43.04522 .13485 (43*2π)/48711 weeks
44.37449 .30174 (44*2π)/48711 weeks
45-.3866 .40184 (45*2π)/48711 weeks
46.24589 .01049 (46*2π)/48711 weeks
47.14898 .18598 (47*2π)/48710 weeks
48.14878 .21826 (48*2π)/48710 weeks
49.23586 -.02544 (49*2π)/48710 weeks
50.33114 .21823 (50*2π)/48710 weeks
51.27402 .33707 (51*2π)/48710 weeks
52.10509 .00666 (52*2π)/4879 weeks
53.28135 .62031 (53*2π)/4879 weeks
54-.54361 .46782 (54*2π)/4879 weeks
55.06542 -.10227 (55*2π)/4879 weeks
56.29155 .33717 (56*2π)/4879 weeks
57-.3198 .3134 (57*2π)/4879 weeks
58.0354 .21137 (58*2π)/4878 weeks
59.3952 -.1815 (59*2π)/4878 weeks
60.0478 .37788 (60*2π)/4878 weeks
61.0503 .20817 (61*2π)/4878 weeks
62.10749 .11157 (62*2π)/4878 weeks
63-.07515 .41523 (63*2π)/4878 weeks
64.26922 .13854 (64*2π)/4878 weeks
65.00789 .16352 (65*2π)/4877 weeks
66-.09231 .24093 (66*2π)/4877 weeks
67.21813 .1024 (67*2π)/4877 weeks
68.03505 .28717 (68*2π)/4877 weeks
69.05643 .06873 (69*2π)/4877 weeks
70.09659 .05872 (70*2π)/4877 weeks
71.16655 .22837 (71*2π)/4877 weeks
72-.0128 .18012 (72*2π)/4877 weeks
73.06104 .08362 (73*2π)/4877 weeks
74.20471 .21981 (74*2π)/4877 weeks
75-.07649 -.00349 (75*2π)/4876 weeks
76.36398 .20318 (76*2π)/4876 weeks
77.19105 .25303 (77*2π)/4876 weeks
78-.23722 -.04271 (78*2π)/4876 weeks
79.28906 .15843 (79*2π)/4876 weeks
80.16581 .36833 (80*2π)/4876 weeks
81-.18474 .08083 (81*2π)/4876 weeks
82.21011 .11747 (82*2π)/4876 weeks
83.17111 .08569 (83*2π)/4876 weeks
84.071 .03583 (84*2π)/4876 weeks
85.08975 .13828 (85*2π)/4876 weeks
86.2837 .25754 (86*2π)/4876 weeks
87-.05408 .17595 (87*2π)/4876 weeks
88-.04537 .00091 (88*2π)/4876 weeks
89.15449 .03427 (89*2π)/4875 weeks
90.18601 .0247 (90*2π)/4875 weeks
91-.09149 .1994 (91*2π)/4875 weeks
92.15407 .09635 (92*2π)/4875 weeks
93.10882 .0503 (93*2π)/4875 weeks
94-.00427 .20753 (94*2π)/4875 weeks
95.13642 .01099 (95*2π)/4875 weeks
96.05874 .06908 (96*2π)/4875 weeks
97.06399 .23398 (97*2π)/4875 weeks
98.19429 -.10437 (98*2π)/4875 weeks
99.06572 .02112 (99*2π)/4875 weeks
100.05672 .18617 (100*2π)/4875 weeks
101.18827 -.06294 (101*2π)/4875 weeks
102.15719 .20199 (102*2π)/4875 weeks
103.02332 .18247 (103*2π)/4875 weeks
104.12514 .04299 (104*2π)/4875 weeks
105.0191 -.00111 (105*2π)/4875 weeks
106.02136 .16835 (106*2π)/4875 weeks
107.11175 -.02388 (107*2π)/4875 weeks
108.18536 -.01349 (108*2π)/4875 weeks
109.18091 .18793 (109*2π)/4874 weeks
110.07913 .20471 (110*2π)/4874 weeks
111.04021 -.00094 (111*2π)/4874 weeks
112-.00926 .11182 (112*2π)/4874 weeks
113.18568 .15014 (113*2π)/4874 weeks
114.07257 .10783 (114*2π)/4874 weeks
115.07979 .09798 (115*2π)/4874 weeks
116.03478 .07029 (116*2π)/4874 weeks
117.10479 .15313 (117*2π)/4874 weeks
118.10673 .13666 (118*2π)/4874 weeks
119-.01241 .08715 (119*2π)/4874 weeks
120.08428 .12561 (120*2π)/4874 weeks
121.16898 .09451 (121*2π)/4874 weeks
122.08755 .17364 (122*2π)/4874 weeks
123.1216 .04674 (123*2π)/4874 weeks
124.10518 .06082 (124*2π)/4874 weeks
125-.07155 .17741 (125*2π)/4874 weeks
126-.02018 -.01382 (126*2π)/4874 weeks
127.16592 .13324 (127*2π)/4874 weeks
128.03131 .20137 (128*2π)/4874 weeks
129-.03818 -.00253 (129*2π)/4874 weeks
130.1299 .05799 (130*2π)/4874 weeks
131.10193 .11676 (131*2π)/4874 weeks
132-.00737 .06482 (132*2π)/4874 weeks
133.05526 .13692 (133*2π)/4874 weeks
134.06997 .04306 (134*2π)/4874 weeks
135.00895 .04832 (135*2π)/4874 weeks
136.12351 .03779 (136*2π)/4874 weeks
137.09392 .06267 (137*2π)/4874 weeks
138.07378 .04628 (138*2π)/4874 weeks
139.0251 .08044 (139*2π)/4874 weeks
140.05903 .15774 (140*2π)/4873 weeks
141.10227 .00572 (141*2π)/4873 weeks
142.03247 .0784 (142*2π)/4873 weeks
143.01581 .04578 (143*2π)/4873 weeks
144.18432 .10891 (144*2π)/4873 weeks
145.00369 .05856 (145*2π)/4873 weeks
146-.06433 .10643 (146*2π)/4873 weeks
147.10903 .05475 (147*2π)/4873 weeks
148.01734 .08568 (148*2π)/4873 weeks
149.02619 .03639 (149*2π)/4873 weeks
150.02495 .03311 (150*2π)/4873 weeks
151.09492 -.03507 (151*2π)/4873 weeks
152.19016 .07056 (152*2π)/4873 weeks
153.06699 .0482 (153*2π)/4873 weeks
154.04897 .04994 (154*2π)/4873 weeks
155.12422 .04201 (155*2π)/4873 weeks
156.04003 -.00742 (156*2π)/4873 weeks
157.18056 .02645 (157*2π)/4873 weeks
158.07962 .08297 (158*2π)/4873 weeks
159.04979 .13953 (159*2π)/4873 weeks
160.19095 .10009 (160*2π)/4873 weeks
161.04527 .11049 (161*2π)/4873 weeks
162-.03535 .1137 (162*2π)/4873 weeks
163.05582 .02195 (163*2π)/4873 weeks
164.08582 .00744 (164*2π)/4873 weeks
165.10504 -.0401 (165*2π)/4873 weeks
166.07318 .09555 (166*2π)/4873 weeks
167-.01255 .06123 (167*2π)/4873 weeks
168.12156 .04783 (168*2π)/4873 weeks
169.00196 .08559 (169*2π)/4873 weeks
170.14017 -.01971 (170*2π)/4873 weeks
171.05426 .14024 (171*2π)/4873 weeks
172.02307 -.04326 (172*2π)/4873 weeks
173.10365 .00631 (173*2π)/4873 weeks
174.07556 -.03971 (174*2π)/4873 weeks
175.14013 -.03457 (175*2π)/4873 weeks
176.03447 -.03097 (176*2π)/4873 weeks
177.13365 .05102 (177*2π)/4873 weeks
178.13873 .00437 (178*2π)/4873 weeks
179.07436 .05618 (179*2π)/4873 weeks
180.14188 .00627 (180*2π)/4873 weeks
181.08335 .01982 (181*2π)/4873 weeks
182.07811 .02939 (182*2π)/4873 weeks
183.17432 .01704 (183*2π)/4873 weeks
184.17008 .04844 (184*2π)/4873 weeks
185-.01545 .08473 (185*2π)/4873 weeks
186.07359 .04799 (186*2π)/4873 weeks
187.07952 .09051 (187*2π)/4873 weeks
188.05199 -.00428 (188*2π)/4873 weeks
189-.02573 .13088 (189*2π)/4873 weeks
190.08869 -.00778 (190*2π)/4873 weeks
191.09405 -.04996 (191*2π)/4873 weeks
192.02095 .05844 (192*2π)/4873 weeks
193.10868 .00357 (193*2π)/4873 weeks
194.04246 .01802 (194*2π)/4873 weeks
195.08586 .0897 (195*2π)/4872 weeks
196.05198 .04413 (196*2π)/4872 weeks
197.08546 .04044 (197*2π)/4872 weeks
198.07962 .04462 (198*2π)/4872 weeks
199-.0066 .01489 (199*2π)/4872 weeks
200.09489 .00287 (200*2π)/4872 weeks
201.08262 -.02408 (201*2π)/4872 weeks
202-.01369 .08548 (202*2π)/4872 weeks
203.07349 .02833 (203*2π)/4872 weeks
204.04925 -.0143 (204*2π)/4872 weeks
205.08619 -.00927 (205*2π)/4872 weeks
206.10585 .07194 (206*2π)/4872 weeks
207-.02409 .04774 (207*2π)/4872 weeks
208.12915 -.01148 (208*2π)/4872 weeks
209.00729 .02481 (209*2π)/4872 weeks
210.01917 .05676 (210*2π)/4872 weeks
211.09048 -.01871 (211*2π)/4872 weeks
212.03321 -.02821 (212*2π)/4872 weeks
213.08296 -.0297 (213*2π)/4872 weeks
214.11195 -.0262 (214*2π)/4872 weeks
215.07123 .11099 (215*2π)/4872 weeks
216.04895 .03016 (216*2π)/4872 weeks
217.06433 -.04175 (217*2π)/4872 weeks
218.05918 -.0057 (218*2π)/4872 weeks
219.18932 .03369 (219*2π)/4872 weeks
220.02857 .0104 (220*2π)/4872 weeks
221.0875 .0337 (221*2π)/4872 weeks
222.08279 -.04542 (222*2π)/4872 weeks
223.05128 .02843 (223*2π)/4872 weeks
224.0504 .12226 (224*2π)/4872 weeks
225.09601 -.05395 (225*2π)/4872 weeks
226.13124 .01843 (226*2π)/4872 weeks
227.13302 .07318 (227*2π)/4872 weeks
228.043 .0027 (228*2π)/4872 weeks
229.08489 .03066 (229*2π)/4872 weeks
230.02329 .05319 (230*2π)/4872 weeks
231.01703 .04679 (231*2π)/4872 weeks
232-.00298 -.00937 (232*2π)/4872 weeks
233.07428 .01312 (233*2π)/4872 weeks
234.03767 -.11276 (234*2π)/4872 weeks
235-.00543 .0224 (235*2π)/4872 weeks
236.03781 .00837 (236*2π)/4872 weeks
237.16231 -.06225 (237*2π)/4872 weeks
238.0331 -.00028 (238*2π)/4872 weeks
239.06235 .03015 (239*2π)/4872 weeks
240.06521 -.05136 (240*2π)/4872 weeks
241.11374 -.03876 (241*2π)/4872 weeks
242.06568 -.03134 (242*2π)/4872 weeks
243.12197 -.02317 (243*2π)/4872 weeks
244.12197 .02317 (244*2π)/4872 weeks
245.06568 .03134 (245*2π)/4872 weeks
246.11374 .03876 (246*2π)/4872 weeks
247.06521 .05136 (247*2π)/4872 weeks
248.06235 -.03015 (248*2π)/4872 weeks
249.0331 .00028 (249*2π)/4872 weeks
250.16231 .06225 (250*2π)/4872 weeks
251.03781 -.00837 (251*2π)/4872 weeks
252-.00543 -.0224 (252*2π)/4872 weeks
253.03767 .11276 (253*2π)/4872 weeks
254.07428 -.01312 (254*2π)/4872 weeks
255-.00298 .00937 (255*2π)/4872 weeks
256.01703 -.04679 (256*2π)/4872 weeks
257.02329 -.05319 (257*2π)/4872 weeks
258.08489 -.03066 (258*2π)/4872 weeks
259.043 -.0027 (259*2π)/4872 weeks
260.13302 -.07318 (260*2π)/4872 weeks
261.13124 -.01843 (261*2π)/4872 weeks
262.09601 .05395 (262*2π)/4872 weeks
263.0504 -.12226 (263*2π)/4872 weeks
264.05128 -.02843 (264*2π)/4872 weeks
265.08279 .04542 (265*2π)/4872 weeks
266.0875 -.0337 (266*2π)/4872 weeks
267.02857 -.0104 (267*2π)/4872 weeks
268.18932 -.03369 (268*2π)/4872 weeks
269.05918 .0057 (269*2π)/4872 weeks
270.06433 .04175 (270*2π)/4872 weeks
271.04895 -.03016 (271*2π)/4872 weeks
272.07123 -.11099 (272*2π)/4872 weeks
273.11195 .0262 (273*2π)/4872 weeks
274.08296 .0297 (274*2π)/4872 weeks
275.03321 .02821 (275*2π)/4872 weeks
276.09048 .01871 (276*2π)/4872 weeks
277.01917 -.05676 (277*2π)/4872 weeks
278.00729 -.02481 (278*2π)/4872 weeks
279.12915 .01148 (279*2π)/4872 weeks
280-.02409 -.04774 (280*2π)/4872 weeks
281.10585 -.07194 (281*2π)/4872 weeks
282.08619 .00927 (282*2π)/4872 weeks
283.04925 .0143 (283*2π)/4872 weeks
284.07349 -.02833 (284*2π)/4872 weeks
285-.01369 -.08548 (285*2π)/4872 weeks
286.08262 .02408 (286*2π)/4872 weeks
287.09489 -.00287 (287*2π)/4872 weeks
288-.0066 -.01489 (288*2π)/4872 weeks
289.07962 -.04462 (289*2π)/4872 weeks
290.08546 -.04044 (290*2π)/4872 weeks
291.05198 -.04413 (291*2π)/4872 weeks
292.08586 -.0897 (292*2π)/4872 weeks
293.04246 -.01802 (293*2π)/4872 weeks
294.10868 -.00357 (294*2π)/4872 weeks
295.02095 -.05844 (295*2π)/4872 weeks
296.09405 .04996 (296*2π)/4872 weeks
297.08869 .00778 (297*2π)/4872 weeks
298-.02573 -.13088 (298*2π)/4872 weeks
299.05199 .00428 (299*2π)/4872 weeks
300.07952 -.09051 (300*2π)/4872 weeks
301.07359 -.04799 (301*2π)/4872 weeks
302-.01545 -.08473 (302*2π)/4872 weeks
303.17008 -.04844 (303*2π)/4872 weeks
304.17432 -.01704 (304*2π)/4872 weeks
305.07811 -.02939 (305*2π)/4872 weeks
306.08335 -.01982 (306*2π)/4872 weeks
307.14188 -.00627 (307*2π)/4872 weeks
308.07436 -.05618 (308*2π)/4872 weeks
309.13873 -.00437 (309*2π)/4872 weeks
310.13365 -.05102 (310*2π)/4872 weeks
311.03447 .03097 (311*2π)/4872 weeks
312.14013 .03457 (312*2π)/4872 weeks
313.07556 .03971 (313*2π)/4872 weeks
314.10365 -.00631 (314*2π)/4872 weeks
315.02307 .04326 (315*2π)/4872 weeks
316.05426 -.14024 (316*2π)/4872 weeks
317.14017 .01971 (317*2π)/4872 weeks
318.00196 -.08559 (318*2π)/4872 weeks
319.12156 -.04783 (319*2π)/4872 weeks
320-.01255 -.06123 (320*2π)/4872 weeks
321.07318 -.09555 (321*2π)/4872 weeks
322.10504 .0401 (322*2π)/4872 weeks
323.08582 -.00744 (323*2π)/4872 weeks
324.05582 -.02195 (324*2π)/4872 weeks
325-.03535 -.1137 (325*2π)/4871 weeks
326.04527 -.11049 (326*2π)/4871 weeks
327.19095 -.10009 (327*2π)/4871 weeks
328.04979 -.13953 (328*2π)/4871 weeks
329.07962 -.08297 (329*2π)/4871 weeks
330.18056 -.02645 (330*2π)/4871 weeks
331.04003 .00742 (331*2π)/4871 weeks
332.12422 -.04201 (332*2π)/4871 weeks
333.04897 -.04994 (333*2π)/4871 weeks
334.06699 -.0482 (334*2π)/4871 weeks
335.19016 -.07056 (335*2π)/4871 weeks
336.09492 .03507 (336*2π)/4871 weeks
337.02495 -.03311 (337*2π)/4871 weeks
338.02619 -.03639 (338*2π)/4871 weeks
339.01734 -.08568 (339*2π)/4871 weeks
340.10903 -.05475 (340*2π)/4871 weeks
341-.06433 -.10643 (341*2π)/4871 weeks
342.00369 -.05856 (342*2π)/4871 weeks
343.18432 -.10891 (343*2π)/4871 weeks
344.01581 -.04578 (344*2π)/4871 weeks
345.03247 -.0784 (345*2π)/4871 weeks
346.10227 -.00572 (346*2π)/4871 weeks
347.05903 -.15774 (347*2π)/4871 weeks
348.0251 -.08044 (348*2π)/4871 weeks
349.07378 -.04628 (349*2π)/4871 weeks
350.09392 -.06267 (350*2π)/4871 weeks
351.12351 -.03779 (351*2π)/4871 weeks
352.00895 -.04832 (352*2π)/4871 weeks
353.06997 -.04306 (353*2π)/4871 weeks
354.05526 -.13692 (354*2π)/4871 weeks
355-.00737 -.06482 (355*2π)/4871 weeks
356.10193 -.11676 (356*2π)/4871 weeks
357.1299 -.05799 (357*2π)/4871 weeks
358-.03818 .00253 (358*2π)/4871 weeks
359.03131 -.20137 (359*2π)/4871 weeks
360.16592 -.13324 (360*2π)/4871 weeks
361-.02018 .01382 (361*2π)/4871 weeks
362-.07155 -.17741 (362*2π)/4871 weeks
363.10518 -.06082 (363*2π)/4871 weeks
364.1216 -.04674 (364*2π)/4871 weeks
365.08755 -.17364 (365*2π)/4871 weeks
366.16898 -.09451 (366*2π)/4871 weeks
367.08428 -.12561 (367*2π)/4871 weeks
368-.01241 -.08715 (368*2π)/4871 weeks
369.10673 -.13666 (369*2π)/4871 weeks
370.10479 -.15313 (370*2π)/4871 weeks
371.03478 -.07029 (371*2π)/4871 weeks
372.07979 -.09798 (372*2π)/4871 weeks
373.07257 -.10783 (373*2π)/4871 weeks
374.18568 -.15014 (374*2π)/4871 weeks
375-.00926 -.11182 (375*2π)/4871 weeks
376.04021 .00094 (376*2π)/4871 weeks
377.07913 -.20471 (377*2π)/4871 weeks
378.18091 -.18793 (378*2π)/4871 weeks
379.18536 .01349 (379*2π)/4871 weeks
380.11175 .02388 (380*2π)/4871 weeks
381.02136 -.16835 (381*2π)/4871 weeks
382.0191 .00111 (382*2π)/4871 weeks
383.12514 -.04299 (383*2π)/4871 weeks
384.02332 -.18247 (384*2π)/4871 weeks
385.15719 -.20199 (385*2π)/4871 weeks
386.18827 .06294 (386*2π)/4871 weeks
387.05672 -.18617 (387*2π)/4871 weeks
388.06572 -.02112 (388*2π)/4871 weeks
389.19429 .10437 (389*2π)/4871 weeks
390.06399 -.23398 (390*2π)/4871 weeks
391.05874 -.06908 (391*2π)/4871 weeks
392.13642 -.01099 (392*2π)/4871 weeks
393-.00427 -.20753 (393*2π)/4871 weeks
394.10882 -.0503 (394*2π)/4871 weeks
395.15407 -.09635 (395*2π)/4871 weeks
396-.09149 -.1994 (396*2π)/4871 weeks
397.18601 -.0247 (397*2π)/4871 weeks
398.15449 -.03427 (398*2π)/4871 weeks
399-.04537 -.00091 (399*2π)/4871 weeks
400-.05408 -.17595 (400*2π)/4871 weeks
401.2837 -.25754 (401*2π)/4871 weeks
402.08975 -.13828 (402*2π)/4871 weeks
403.071 -.03583 (403*2π)/4871 weeks
404.17111 -.08569 (404*2π)/4871 weeks
405.21011 -.11747 (405*2π)/4871 weeks
406-.18474 -.08083 (406*2π)/4871 weeks
407.16581 -.36833 (407*2π)/4871 weeks
408.28906 -.15843 (408*2π)/4871 weeks
409-.23722 .04271 (409*2π)/4871 weeks
410.19105 -.25303 (410*2π)/4871 weeks
411.36398 -.20318 (411*2π)/4871 weeks
412-.07649 .00349 (412*2π)/4871 weeks
413.20471 -.21981 (413*2π)/4871 weeks
414.06104 -.08362 (414*2π)/4871 weeks
415-.0128 -.18012 (415*2π)/4871 weeks
416.16655 -.22837 (416*2π)/4871 weeks
417.09659 -.05872 (417*2π)/4871 weeks
418.05643 -.06873 (418*2π)/4871 weeks
419.03505 -.28717 (419*2π)/4871 weeks
420.21813 -.1024 (420*2π)/4871 weeks
421-.09231 -.24093 (421*2π)/4871 weeks
422.00789 -.16352 (422*2π)/4871 weeks
423.26922 -.13854 (423*2π)/4871 weeks
424-.07515 -.41523 (424*2π)/4871 weeks
425.10749 -.11157 (425*2π)/4871 weeks
426.0503 -.20817 (426*2π)/4871 weeks
427.0478 -.37788 (427*2π)/4871 weeks
428.3952 .1815 (428*2π)/4871 weeks
429.0354 -.21137 (429*2π)/4871 weeks
430-.3198 -.3134 (430*2π)/4871 weeks
431.29155 -.33717 (431*2π)/4871 weeks
432.06542 .10227 (432*2π)/4871 weeks
433-.54361 -.46782 (433*2π)/4871 weeks
434.28135 -.62031 (434*2π)/4871 weeks
435.10509 -.00666 (435*2π)/4871 weeks
436.27402 -.33707 (436*2π)/4871 weeks
437.33114 -.21823 (437*2π)/4871 weeks
438.23586 .02544 (438*2π)/4871 weeks
439.14878 -.21826 (439*2π)/4871 weeks
440.14898 -.18598 (440*2π)/4871 weeks
441.24589 -.01049 (441*2π)/4871 weeks
442-.3866 -.40184 (442*2π)/4871 weeks
443.37449 -.30174 (443*2π)/4871 weeks
444.04522 -.13485 (444*2π)/4871 weeks
445.13428 -.25908 (445*2π)/4871 weeks
446.50594 .19685 (446*2π)/4871 weeks
447-.14488 -.26998 (447*2π)/4871 weeks
448.17986 -.25897 (448*2π)/4871 weeks
449.05792 -.01361 (449*2π)/4871 weeks
450.22727 -.43106 (450*2π)/4871 weeks
451.11127 -.26181 (451*2π)/4871 weeks
452.09965 -.34496 (452*2π)/4871 weeks
453.02988 -.31458 (453*2π)/4871 weeks
454.05834 -.73777 (454*2π)/4871 weeks
455.11934 -.0612 (455*2π)/4871 weeks
456.13397 -.09269 (456*2π)/4871 weeks
457.04475 -.16306 (457*2π)/4871 weeks
458.26026 -.08873 (458*2π)/4871 weeks
459-.14526 -.28639 (459*2π)/4871 weeks
460.07712 -.52766 (460*2π)/4871 weeks
461.0381 -.29113 (461*2π)/4871 weeks
462-.5343 -.44408 (462*2π)/4871 weeks
463-.05324 -.61706 (463*2π)/4871 weeks
464.14157 -.71005 (464*2π)/4871 weeks
465-.38872 -.36043 (465*2π)/4871 weeks
466.34988 -.65758 (466*2π)/4871 weeks
467.0147 -.5996 (467*2π)/4871 weeks
468-.21576 -.2786 (468*2π)/4871 weeks
469.68876 -1.08696 (469*2π)/4871 weeks
470-.30436 -.33388 (470*2π)/4871 weeks
471.3247 -.26035 (471*2π)/4871 weeks
472-.3393 -1.47807 (472*2π)/4871 weeks
473.15025 -1.20868 (473*2π)/4871 weeks
4741.33353 -.4246 (474*2π)/4871 weeks
475-.47667 -1.10211 (475*2π)/4871 weeks
476.55966 -.77492 (476*2π)/4871 weeks
477.60807 -.9863 (477*2π)/4871 weeks
478.29278 -.88636 (478*2π)/4871 weeks
479.97932 -2.00635 (479*2π)/4871 weeks
480.53962 -1.69174 (480*2π)/4871 weeks
4812.11641 .50591 (481*2π)/4871 weeks
482-2.67506 -2.71471 (482*2π)/4871 weeks
483-1.04899 -2.76024 (483*2π)/4871 weeks
4847.60135 -.49681 (484*2π)/4871 weeks
485-5.42131 1.77104 (485*2π)/4871 weeks



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