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Fourier Analysis of NIB (iPath Bloomberg Cocoa Subindex )


NIB (iPath Bloomberg Cocoa Subindex ) appears to have interesting cyclic behaviour every 27 weeks (1.0927*sine), 33 weeks (.9272*sine), and 35 weeks (.9266*cosine).

NIB (iPath Bloomberg Cocoa Subindex ) has an average price of 38.13 (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 3/20/2017 for NIB (iPath Bloomberg Cocoa Subindex ), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
038.13398   0 
12.6551 2.22863 (1*2π)/457457 weeks
2-5.0731 1.09739 (2*2π)/457229 weeks
3-.29101 .00124 (3*2π)/457152 weeks
4-1.37049 .44202 (4*2π)/457114 weeks
5-.98884 .11708 (5*2π)/45791 weeks
62.127 .16677 (6*2π)/45776 weeks
7-.26951 1.46098 (7*2π)/45765 weeks
8-.49957 .42781 (8*2π)/45757 weeks
9-.46672 1.34121 (9*2π)/45751 weeks
10.39863 .84261 (10*2π)/45746 weeks
11.20664 .40121 (11*2π)/45742 weeks
12.4381 .27724 (12*2π)/45738 weeks
13.92661 .60525 (13*2π)/45735 weeks
14.9024 .92716 (14*2π)/45733 weeks
15-.19125 .88344 (15*2π)/45730 weeks
16.2939 .04338 (16*2π)/45729 weeks
17.45543 1.09272 (17*2π)/45727 weeks
18-.06135 .76228 (18*2π)/45725 weeks
19.19478 .86826 (19*2π)/45724 weeks
20.33608 .69687 (20*2π)/45723 weeks
21-.21296 .04736 (21*2π)/45722 weeks
22-.40757 .31248 (22*2π)/45721 weeks
23-.08573 .33085 (23*2π)/45720 weeks
24-.2215 .72922 (24*2π)/45719 weeks
25-.1174 .09254 (25*2π)/45718 weeks
26.04065 .09891 (26*2π)/45718 weeks
27.02553 .17882 (27*2π)/45717 weeks
28-.14269 -.02062 (28*2π)/45716 weeks
29.31881 -.12117 (29*2π)/45716 weeks
30-.13333 .23512 (30*2π)/45715 weeks
31.04969 .16347 (31*2π)/45715 weeks
32.08716 .0912 (32*2π)/45714 weeks
33.30208 -.01732 (33*2π)/45714 weeks
34.68558 .38175 (34*2π)/45713 weeks
35.12676 .24342 (35*2π)/45713 weeks
36.11272 .08677 (36*2π)/45713 weeks
37.00129 .29137 (37*2π)/45712 weeks
38.14801 .27241 (38*2π)/45712 weeks
39.35154 .23314 (39*2π)/45712 weeks
40.22767 .46169 (40*2π)/45711 weeks
41.03597 .13783 (41*2π)/45711 weeks
42.23543 .19141 (42*2π)/45711 weeks
43.17659 -.01954 (43*2π)/45711 weeks
44.02324 .34671 (44*2π)/45710 weeks
45.04956 .17834 (45*2π)/45710 weeks
46.41605 .129 (46*2π)/45710 weeks
47.30456 .18563 (47*2π)/45710 weeks
48-.11886 .20012 (48*2π)/45710 weeks
49-.01891 .1842 (49*2π)/4579 weeks
50.20812 .49388 (50*2π)/4579 weeks
51-.33696 -.06352 (51*2π)/4579 weeks
52-.09209 -.14426 (52*2π)/4579 weeks
53-.02081 .15719 (53*2π)/4579 weeks
54-.085 -.06668 (54*2π)/4578 weeks
55.24626 .13334 (55*2π)/4578 weeks
56.32452 .10994 (56*2π)/4578 weeks
57.31657 .08504 (57*2π)/4578 weeks
58.31629 .1523 (58*2π)/4578 weeks
59.19678 .17678 (59*2π)/4578 weeks
60-.06052 .144 (60*2π)/4578 weeks
61-.03395 .1345 (61*2π)/4577 weeks
62.00155 .2267 (62*2π)/4577 weeks
63-.00742 .06847 (63*2π)/4577 weeks
64-.11196 .08103 (64*2π)/4577 weeks
65-.06738 -.00566 (65*2π)/4577 weeks
66.21125 .11607 (66*2π)/4577 weeks
67.18955 .13947 (67*2π)/4577 weeks
68.11811 .02637 (68*2π)/4577 weeks
69.09156 .24187 (69*2π)/4577 weeks
70-.09497 -.04082 (70*2π)/4577 weeks
71.25276 -.05748 (71*2π)/4576 weeks
72.21073 .06804 (72*2π)/4576 weeks
73.18095 .33512 (73*2π)/4576 weeks
74.16916 .26348 (74*2π)/4576 weeks
75.21114 .30205 (75*2π)/4576 weeks
76-.06417 .13917 (76*2π)/4576 weeks
77-.06995 .00894 (77*2π)/4576 weeks
78-.03708 .10234 (78*2π)/4576 weeks
79-.00521 .0733 (79*2π)/4576 weeks
80.01444 .03348 (80*2π)/4576 weeks
81.05677 .0415 (81*2π)/4576 weeks
82-.10387 .22345 (82*2π)/4576 weeks
83.15061 .11598 (83*2π)/4576 weeks
84.10787 .06931 (84*2π)/4575 weeks
85.22686 -.00535 (85*2π)/4575 weeks
86.16217 .15547 (86*2π)/4575 weeks
87.03563 -.0081 (87*2π)/4575 weeks
88-.04174 -.06174 (88*2π)/4575 weeks
89.01814 -.02192 (89*2π)/4575 weeks
90-.00907 -.10373 (90*2π)/4575 weeks
91.13797 .03842 (91*2π)/4575 weeks
92.12431 .07332 (92*2π)/4575 weeks
93.01468 .11444 (93*2π)/4575 weeks
94.08228 .0888 (94*2π)/4575 weeks
95.10926 -.01183 (95*2π)/4575 weeks
96.0795 .22334 (96*2π)/4575 weeks
97-.04333 .0668 (97*2π)/4575 weeks
98.08 -.03727 (98*2π)/4575 weeks
99.13767 -.03201 (99*2π)/4575 weeks
100.13872 -.04818 (100*2π)/4575 weeks
101.19491 .04231 (101*2π)/4575 weeks
102.21588 .06764 (102*2π)/4574 weeks
103.03411 .1785 (103*2π)/4574 weeks
104.13312 -.08022 (104*2π)/4574 weeks
105.20646 -.06186 (105*2π)/4574 weeks
106.089 .19601 (106*2π)/4574 weeks
107.04499 .0983 (107*2π)/4574 weeks
108.20697 .07412 (108*2π)/4574 weeks
109.08406 .04304 (109*2π)/4574 weeks
110.04213 .08383 (110*2π)/4574 weeks
111.13167 .13178 (111*2π)/4574 weeks
112.05437 .02789 (112*2π)/4574 weeks
113.11835 .13667 (113*2π)/4574 weeks
114.01434 .12333 (114*2π)/4574 weeks
115.1299 .10332 (115*2π)/4574 weeks
116-.07225 .18914 (116*2π)/4574 weeks
117-.02713 .07864 (117*2π)/4574 weeks
118.02832 .17145 (118*2π)/4574 weeks
119.01175 .04079 (119*2π)/4574 weeks
120.02615 .10883 (120*2π)/4574 weeks
121.03765 .06886 (121*2π)/4574 weeks
122.07981 .04645 (122*2π)/4574 weeks
123.10858 -.00174 (123*2π)/4574 weeks
124.06213 .11953 (124*2π)/4574 weeks
125.0142 .09799 (125*2π)/4574 weeks
126-.00311 .03289 (126*2π)/4574 weeks
127-.00321 -.03022 (127*2π)/4574 weeks
128.12482 -.00289 (128*2π)/4574 weeks
129.07447 .08349 (129*2π)/4574 weeks
130-.0405 .13142 (130*2π)/4574 weeks
131.05877 .14928 (131*2π)/4573 weeks
132-.01386 .01982 (132*2π)/4573 weeks
133.14273 .01058 (133*2π)/4573 weeks
134-.0376 .14556 (134*2π)/4573 weeks
135-.01317 .00393 (135*2π)/4573 weeks
136-.01293 -.09205 (136*2π)/4573 weeks
137-.0748 -.01653 (137*2π)/4573 weeks
138.00066 .01987 (138*2π)/4573 weeks
139.00075 .00112 (139*2π)/4573 weeks
140.02783 -.03079 (140*2π)/4573 weeks
141-.05377 .01369 (141*2π)/4573 weeks
142-.03669 .02522 (142*2π)/4573 weeks
143.02224 -.11245 (143*2π)/4573 weeks
144.12904 -.01709 (144*2π)/4573 weeks
145.0551 .09872 (145*2π)/4573 weeks
146.12022 .04334 (146*2π)/4573 weeks
147.10367 .08533 (147*2π)/4573 weeks
148.06293 -.03255 (148*2π)/4573 weeks
149.12532 .07087 (149*2π)/4573 weeks
150.11644 .0021 (150*2π)/4573 weeks
151.03747 .14834 (151*2π)/4573 weeks
152-.0109 .09266 (152*2π)/4573 weeks
153.06355 .0073 (153*2π)/4573 weeks
154.13459 .04479 (154*2π)/4573 weeks
155.02827 .06831 (155*2π)/4573 weeks
156-.03142 .01497 (156*2π)/4573 weeks
157.09423 -.01421 (157*2π)/4573 weeks
158.01184 .09235 (158*2π)/4573 weeks
159.08366 .05772 (159*2π)/4573 weeks
160.10036 -.00598 (160*2π)/4573 weeks
161.11639 .0553 (161*2π)/4573 weeks
162.00443 -.0239 (162*2π)/4573 weeks
163.19351 .00132 (163*2π)/4573 weeks
164.02726 .03064 (164*2π)/4573 weeks
165-.02391 -.01606 (165*2π)/4573 weeks
166.09459 .01443 (166*2π)/4573 weeks
167.01189 .01453 (167*2π)/4573 weeks
168.11451 -.02556 (168*2π)/4573 weeks
169.10212 .01449 (169*2π)/4573 weeks
170.06389 -.032 (170*2π)/4573 weeks
171.02784 .04979 (171*2π)/4573 weeks
172.01901 .01736 (172*2π)/4573 weeks
173.08236 .1003 (173*2π)/4573 weeks
174-.06302 -.00644 (174*2π)/4573 weeks
175.10548 -.08023 (175*2π)/4573 weeks
176-.00219 .13885 (176*2π)/4573 weeks
177-.00184 .06277 (177*2π)/4573 weeks
178-.02107 -.0453 (178*2π)/4573 weeks
179.05776 -.01284 (179*2π)/4573 weeks
180.08939 -.07079 (180*2π)/4573 weeks
181.08475 .03721 (181*2π)/4573 weeks
182.05719 -.00151 (182*2π)/4573 weeks
183.12429 .10141 (183*2π)/4572 weeks
184.15502 .08174 (184*2π)/4572 weeks
185.13267 .12875 (185*2π)/4572 weeks
186.00872 .09045 (186*2π)/4572 weeks
187-.00383 .00735 (187*2π)/4572 weeks
188.03794 -.03128 (188*2π)/4572 weeks
189.02299 .0262 (189*2π)/4572 weeks
190.02808 .01088 (190*2π)/4572 weeks
191-.00035 -.0972 (191*2π)/4572 weeks
192.14123 -.03566 (192*2π)/4572 weeks
193.0426 .03537 (193*2π)/4572 weeks
194.01765 .01205 (194*2π)/4572 weeks
195.08301 .0482 (195*2π)/4572 weeks
196-.0356 .02829 (196*2π)/4572 weeks
197.05086 .00327 (197*2π)/4572 weeks
198.00634 .03855 (198*2π)/4572 weeks
199.02358 -.00147 (199*2π)/4572 weeks
200-.00219 -.05825 (200*2π)/4572 weeks
201.08551 -.00559 (201*2π)/4572 weeks
202.03198 .05868 (202*2π)/4572 weeks
203-.00068 -.0786 (203*2π)/4572 weeks
204.1219 .00591 (204*2π)/4572 weeks
205.0909 .04007 (205*2π)/4572 weeks
206.01115 .04531 (206*2π)/4572 weeks
207.05733 -.0312 (207*2π)/4572 weeks
208-.02151 .0854 (208*2π)/4572 weeks
209.03308 -.03263 (209*2π)/4572 weeks
210.10727 .00769 (210*2π)/4572 weeks
211.03474 .03132 (211*2π)/4572 weeks
212.12087 -.04487 (212*2π)/4572 weeks
213.11459 .06302 (213*2π)/4572 weeks
214.04485 .12384 (214*2π)/4572 weeks
215.01569 .07587 (215*2π)/4572 weeks
216.0816 .03415 (216*2π)/4572 weeks
217.01599 .01537 (217*2π)/4572 weeks
218-.00846 .01522 (218*2π)/4572 weeks
219.0594 -.02223 (219*2π)/4572 weeks
220.0914 -.01611 (220*2π)/4572 weeks
221-.03327 .02755 (221*2π)/4572 weeks
222-.00618 -.03995 (222*2π)/4572 weeks
223.07994 -.03186 (223*2π)/4572 weeks
224.00541 .03568 (224*2π)/4572 weeks
225.02689 -.03689 (225*2π)/4572 weeks
226.09033 .03193 (226*2π)/4572 weeks
227.10011 -.0092 (227*2π)/4572 weeks
228.0859 -.0106 (228*2π)/4572 weeks
229.0859 .0106 (229*2π)/4572 weeks
230.10011 .0092 (230*2π)/4572 weeks
231.09033 -.03193 (231*2π)/4572 weeks
232.02689 .03689 (232*2π)/4572 weeks
233.00541 -.03568 (233*2π)/4572 weeks
234.07994 .03186 (234*2π)/4572 weeks
235-.00618 .03995 (235*2π)/4572 weeks
236-.03327 -.02755 (236*2π)/4572 weeks
237.0914 .01611 (237*2π)/4572 weeks
238.0594 .02223 (238*2π)/4572 weeks
239-.00846 -.01522 (239*2π)/4572 weeks
240.01599 -.01537 (240*2π)/4572 weeks
241.0816 -.03415 (241*2π)/4572 weeks
242.01569 -.07587 (242*2π)/4572 weeks
243.04485 -.12384 (243*2π)/4572 weeks
244.11459 -.06302 (244*2π)/4572 weeks
245.12087 .04487 (245*2π)/4572 weeks
246.03474 -.03132 (246*2π)/4572 weeks
247.10727 -.00769 (247*2π)/4572 weeks
248.03308 .03263 (248*2π)/4572 weeks
249-.02151 -.0854 (249*2π)/4572 weeks
250.05733 .0312 (250*2π)/4572 weeks
251.01115 -.04531 (251*2π)/4572 weeks
252.0909 -.04007 (252*2π)/4572 weeks
253.1219 -.00591 (253*2π)/4572 weeks
254-.00068 .0786 (254*2π)/4572 weeks
255.03198 -.05868 (255*2π)/4572 weeks
256.08551 .00559 (256*2π)/4572 weeks
257-.00219 .05825 (257*2π)/4572 weeks
258.02358 .00147 (258*2π)/4572 weeks
259.00634 -.03855 (259*2π)/4572 weeks
260.05086 -.00327 (260*2π)/4572 weeks
261-.0356 -.02829 (261*2π)/4572 weeks
262.08301 -.0482 (262*2π)/4572 weeks
263.01765 -.01205 (263*2π)/4572 weeks
264.0426 -.03537 (264*2π)/4572 weeks
265.14123 .03566 (265*2π)/4572 weeks
266-.00035 .0972 (266*2π)/4572 weeks
267.02808 -.01088 (267*2π)/4572 weeks
268.02299 -.0262 (268*2π)/4572 weeks
269.03794 .03128 (269*2π)/4572 weeks
270-.00383 -.00735 (270*2π)/4572 weeks
271.00872 -.09045 (271*2π)/4572 weeks
272.13267 -.12875 (272*2π)/4572 weeks
273.15502 -.08174 (273*2π)/4572 weeks
274.12429 -.10141 (274*2π)/4572 weeks
275.05719 .00151 (275*2π)/4572 weeks
276.08475 -.03721 (276*2π)/4572 weeks
277.08939 .07079 (277*2π)/4572 weeks
278.05776 .01284 (278*2π)/4572 weeks
279-.02107 .0453 (279*2π)/4572 weeks
280-.00184 -.06277 (280*2π)/4572 weeks
281-.00219 -.13885 (281*2π)/4572 weeks
282.10548 .08023 (282*2π)/4572 weeks
283-.06302 .00644 (283*2π)/4572 weeks
284.08236 -.1003 (284*2π)/4572 weeks
285.01901 -.01736 (285*2π)/4572 weeks
286.02784 -.04979 (286*2π)/4572 weeks
287.06389 .032 (287*2π)/4572 weeks
288.10212 -.01449 (288*2π)/4572 weeks
289.11451 .02556 (289*2π)/4572 weeks
290.01189 -.01453 (290*2π)/4572 weeks
291.09459 -.01443 (291*2π)/4572 weeks
292-.02391 .01606 (292*2π)/4572 weeks
293.02726 -.03064 (293*2π)/4572 weeks
294.19351 -.00132 (294*2π)/4572 weeks
295.00443 .0239 (295*2π)/4572 weeks
296.11639 -.0553 (296*2π)/4572 weeks
297.10036 .00598 (297*2π)/4572 weeks
298.08366 -.05772 (298*2π)/4572 weeks
299.01184 -.09235 (299*2π)/4572 weeks
300.09423 .01421 (300*2π)/4572 weeks
301-.03142 -.01497 (301*2π)/4572 weeks
302.02827 -.06831 (302*2π)/4572 weeks
303.13459 -.04479 (303*2π)/4572 weeks
304.06355 -.0073 (304*2π)/4572 weeks
305-.0109 -.09266 (305*2π)/4571 weeks
306.03747 -.14834 (306*2π)/4571 weeks
307.11644 -.0021 (307*2π)/4571 weeks
308.12532 -.07087 (308*2π)/4571 weeks
309.06293 .03255 (309*2π)/4571 weeks
310.10367 -.08533 (310*2π)/4571 weeks
311.12022 -.04334 (311*2π)/4571 weeks
312.0551 -.09872 (312*2π)/4571 weeks
313.12904 .01709 (313*2π)/4571 weeks
314.02224 .11245 (314*2π)/4571 weeks
315-.03669 -.02522 (315*2π)/4571 weeks
316-.05377 -.01369 (316*2π)/4571 weeks
317.02783 .03079 (317*2π)/4571 weeks
318.00075 -.00112 (318*2π)/4571 weeks
319.00066 -.01987 (319*2π)/4571 weeks
320-.0748 .01653 (320*2π)/4571 weeks
321-.01293 .09205 (321*2π)/4571 weeks
322-.01317 -.00393 (322*2π)/4571 weeks
323-.0376 -.14556 (323*2π)/4571 weeks
324.14273 -.01058 (324*2π)/4571 weeks
325-.01386 -.01982 (325*2π)/4571 weeks
326.05877 -.14928 (326*2π)/4571 weeks
327-.0405 -.13142 (327*2π)/4571 weeks
328.07447 -.08349 (328*2π)/4571 weeks
329.12482 .00289 (329*2π)/4571 weeks
330-.00321 .03022 (330*2π)/4571 weeks
331-.00311 -.03289 (331*2π)/4571 weeks
332.0142 -.09799 (332*2π)/4571 weeks
333.06213 -.11953 (333*2π)/4571 weeks
334.10858 .00174 (334*2π)/4571 weeks
335.07981 -.04645 (335*2π)/4571 weeks
336.03765 -.06886 (336*2π)/4571 weeks
337.02615 -.10883 (337*2π)/4571 weeks
338.01175 -.04079 (338*2π)/4571 weeks
339.02832 -.17145 (339*2π)/4571 weeks
340-.02713 -.07864 (340*2π)/4571 weeks
341-.07225 -.18914 (341*2π)/4571 weeks
342.1299 -.10332 (342*2π)/4571 weeks
343.01434 -.12333 (343*2π)/4571 weeks
344.11835 -.13667 (344*2π)/4571 weeks
345.05437 -.02789 (345*2π)/4571 weeks
346.13167 -.13178 (346*2π)/4571 weeks
347.04213 -.08383 (347*2π)/4571 weeks
348.08406 -.04304 (348*2π)/4571 weeks
349.20697 -.07412 (349*2π)/4571 weeks
350.04499 -.0983 (350*2π)/4571 weeks
351.089 -.19601 (351*2π)/4571 weeks
352.20646 .06186 (352*2π)/4571 weeks
353.13312 .08022 (353*2π)/4571 weeks
354.03411 -.1785 (354*2π)/4571 weeks
355.21588 -.06764 (355*2π)/4571 weeks
356.19491 -.04231 (356*2π)/4571 weeks
357.13872 .04818 (357*2π)/4571 weeks
358.13767 .03201 (358*2π)/4571 weeks
359.08 .03727 (359*2π)/4571 weeks
360-.04333 -.0668 (360*2π)/4571 weeks
361.0795 -.22334 (361*2π)/4571 weeks
362.10926 .01183 (362*2π)/4571 weeks
363.08228 -.0888 (363*2π)/4571 weeks
364.01468 -.11444 (364*2π)/4571 weeks
365.12431 -.07332 (365*2π)/4571 weeks
366.13797 -.03842 (366*2π)/4571 weeks
367-.00907 .10373 (367*2π)/4571 weeks
368.01814 .02192 (368*2π)/4571 weeks
369-.04174 .06174 (369*2π)/4571 weeks
370.03563 .0081 (370*2π)/4571 weeks
371.16217 -.15547 (371*2π)/4571 weeks
372.22686 .00535 (372*2π)/4571 weeks
373.10787 -.06931 (373*2π)/4571 weeks
374.15061 -.11598 (374*2π)/4571 weeks
375-.10387 -.22345 (375*2π)/4571 weeks
376.05677 -.0415 (376*2π)/4571 weeks
377.01444 -.03348 (377*2π)/4571 weeks
378-.00521 -.0733 (378*2π)/4571 weeks
379-.03708 -.10234 (379*2π)/4571 weeks
380-.06995 -.00894 (380*2π)/4571 weeks
381-.06417 -.13917 (381*2π)/4571 weeks
382.21114 -.30205 (382*2π)/4571 weeks
383.16916 -.26348 (383*2π)/4571 weeks
384.18095 -.33512 (384*2π)/4571 weeks
385.21073 -.06804 (385*2π)/4571 weeks
386.25276 .05748 (386*2π)/4571 weeks
387-.09497 .04082 (387*2π)/4571 weeks
388.09156 -.24187 (388*2π)/4571 weeks
389.11811 -.02637 (389*2π)/4571 weeks
390.18955 -.13947 (390*2π)/4571 weeks
391.21125 -.11607 (391*2π)/4571 weeks
392-.06738 .00566 (392*2π)/4571 weeks
393-.11196 -.08103 (393*2π)/4571 weeks
394-.00742 -.06847 (394*2π)/4571 weeks
395.00155 -.2267 (395*2π)/4571 weeks
396-.03395 -.1345 (396*2π)/4571 weeks
397-.06052 -.144 (397*2π)/4571 weeks
398.19678 -.17678 (398*2π)/4571 weeks
399.31629 -.1523 (399*2π)/4571 weeks
400.31657 -.08504 (400*2π)/4571 weeks
401.32452 -.10994 (401*2π)/4571 weeks
402.24626 -.13334 (402*2π)/4571 weeks
403-.085 .06668 (403*2π)/4571 weeks
404-.02081 -.15719 (404*2π)/4571 weeks
405-.09209 .14426 (405*2π)/4571 weeks
406-.33696 .06352 (406*2π)/4571 weeks
407.20812 -.49388 (407*2π)/4571 weeks
408-.01891 -.1842 (408*2π)/4571 weeks
409-.11886 -.20012 (409*2π)/4571 weeks
410.30456 -.18563 (410*2π)/4571 weeks
411.41605 -.129 (411*2π)/4571 weeks
412.04956 -.17834 (412*2π)/4571 weeks
413.02324 -.34671 (413*2π)/4571 weeks
414.17659 .01954 (414*2π)/4571 weeks
415.23543 -.19141 (415*2π)/4571 weeks
416.03597 -.13783 (416*2π)/4571 weeks
417.22767 -.46169 (417*2π)/4571 weeks
418.35154 -.23314 (418*2π)/4571 weeks
419.14801 -.27241 (419*2π)/4571 weeks
420.00129 -.29137 (420*2π)/4571 weeks
421.11272 -.08677 (421*2π)/4571 weeks
422.12676 -.24342 (422*2π)/4571 weeks
423.68558 -.38175 (423*2π)/4571 weeks
424.30208 .01732 (424*2π)/4571 weeks
425.08716 -.0912 (425*2π)/4571 weeks
426.04969 -.16347 (426*2π)/4571 weeks
427-.13333 -.23512 (427*2π)/4571 weeks
428.31881 .12117 (428*2π)/4571 weeks
429-.14269 .02062 (429*2π)/4571 weeks
430.02553 -.17882 (430*2π)/4571 weeks
431.04065 -.09891 (431*2π)/4571 weeks
432-.1174 -.09254 (432*2π)/4571 weeks
433-.2215 -.72922 (433*2π)/4571 weeks
434-.08573 -.33085 (434*2π)/4571 weeks
435-.40757 -.31248 (435*2π)/4571 weeks
436-.21296 -.04736 (436*2π)/4571 weeks
437.33608 -.69687 (437*2π)/4571 weeks
438.19478 -.86826 (438*2π)/4571 weeks
439-.06135 -.76228 (439*2π)/4571 weeks
440.45543 -1.09272 (440*2π)/4571 weeks
441.2939 -.04338 (441*2π)/4571 weeks
442-.19125 -.88344 (442*2π)/4571 weeks
443.9024 -.92716 (443*2π)/4571 weeks
444.92661 -.60525 (444*2π)/4571 weeks
445.4381 -.27724 (445*2π)/4571 weeks
446.20664 -.40121 (446*2π)/4571 weeks
447.39863 -.84261 (447*2π)/4571 weeks
448-.46672 -1.34121 (448*2π)/4571 weeks
449-.49957 -.42781 (449*2π)/4571 weeks
450-.26951 -1.46098 (450*2π)/4571 weeks
4512.127 -.16677 (451*2π)/4571 weeks
452-.98884 -.11708 (452*2π)/4571 weeks
453-1.37049 -.44202 (453*2π)/4571 weeks
454-.29101 -.00124 (454*2π)/4571 weeks
455-5.0731 -1.09739 (455*2π)/4571 weeks

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