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Fourier Analysis of AGA (DB Agriculture Double Short ETN)


AGA (DB Agriculture Double Short ETN) appears to have interesting cyclic behaviour every 38 weeks (1.4515*cosine), 41 weeks (1.4326*sine), and 38 weeks (1.0919*sine).

AGA (DB Agriculture Double Short ETN) has an average price of 26 (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 4/16/2008 to 12/5/2016 for AGA (DB Agriculture Double Short ETN), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
026.00009   0 
110.6108 6.56658 (1*2π)/452452 weeks
2-3.64118 3.06017 (2*2π)/452226 weeks
3-4.65718 .62059 (3*2π)/452151 weeks
4.10409 .47944 (4*2π)/452113 weeks
5-1.17082 2.6832 (5*2π)/45290 weeks
6-3.71725 -.07718 (6*2π)/45275 weeks
7-.8729 -1.59036 (7*2π)/45265 weeks
8.81053 -1.2297 (8*2π)/45257 weeks
9-.1059 .46821 (9*2π)/45250 weeks
10-.91294 -.72557 (10*2π)/45245 weeks
11.70312 -1.43257 (11*2π)/45241 weeks
121.45149 -1.0919 (12*2π)/45238 weeks
13.48314 .22581 (13*2π)/45235 weeks
14.00194 .38222 (14*2π)/45232 weeks
15.16484 .15917 (15*2π)/45230 weeks
16.39932 -.57759 (16*2π)/45228 weeks
17.37772 .04964 (17*2π)/45227 weeks
18-.01499 .45483 (18*2π)/45225 weeks
19.76034 .39158 (19*2π)/45224 weeks
20.48304 .79129 (20*2π)/45223 weeks
21.00078 .55587 (21*2π)/45222 weeks
22-.44718 .44111 (22*2π)/45221 weeks
23-.193 -.13724 (23*2π)/45220 weeks
24-.39021 -.05874 (24*2π)/45219 weeks
25-.40764 -.21425 (25*2π)/45218 weeks
26-.04715 -.17818 (26*2π)/45217 weeks
27.44174 -.3651 (27*2π)/45217 weeks
28.66199 .01348 (28*2π)/45216 weeks
29.38532 -.17793 (29*2π)/45216 weeks
30.01287 .47773 (30*2π)/45215 weeks
31-.10378 .31495 (31*2π)/45215 weeks
32.27206 .33679 (32*2π)/45214 weeks
33.13577 .13542 (33*2π)/45214 weeks
34-.09807 .16333 (34*2π)/45213 weeks
35-.08294 -.30449 (35*2π)/45213 weeks
36.08498 .09273 (36*2π)/45213 weeks
37-.31582 .28095 (37*2π)/45212 weeks
38-.24488 .36692 (38*2π)/45212 weeks
39-.22365 -.11143 (39*2π)/45212 weeks
40.14984 -.10099 (40*2π)/45211 weeks
41-.09573 .05345 (41*2π)/45211 weeks
42-.06045 -.02656 (42*2π)/45211 weeks
43-.00901 .1994 (43*2π)/45211 weeks
44-.07964 .44427 (44*2π)/45210 weeks
45-.30868 .33201 (45*2π)/45210 weeks
46-.36234 .14555 (46*2π)/45210 weeks
47-.3635 -.38628 (47*2π)/45210 weeks
48-.07669 -.36399 (48*2π)/4529 weeks
49-.15914 -.09953 (49*2π)/4529 weeks
50.23096 -.03158 (50*2π)/4529 weeks
51.1624 -.13225 (51*2π)/4529 weeks
52.00479 -.42508 (52*2π)/4529 weeks
53.03272 -.10439 (53*2π)/4529 weeks
54.22331 -.03922 (54*2π)/4528 weeks
55.07829 -.00924 (55*2π)/4528 weeks
56-.04709 -.0459 (56*2π)/4528 weeks
57.04159 .08242 (57*2π)/4528 weeks
58-.00506 .04849 (58*2π)/4528 weeks
59-.02286 -.01474 (59*2π)/4528 weeks
60-.04912 -.05025 (60*2π)/4528 weeks
61-.35734 .15032 (61*2π)/4527 weeks
62-.14874 -.14908 (62*2π)/4527 weeks
63.19282 .2212 (63*2π)/4527 weeks
64-.08794 -.01858 (64*2π)/4527 weeks
65-.02068 -.26067 (65*2π)/4527 weeks
66.02252 -.37211 (66*2π)/4527 weeks
67.23735 -.14258 (67*2π)/4527 weeks
68.22729 .00971 (68*2π)/4527 weeks
69-.00332 .05369 (69*2π)/4527 weeks
70.08955 -.05987 (70*2π)/4526 weeks
71.08484 .19914 (71*2π)/4526 weeks
72-.0668 .24115 (72*2π)/4526 weeks
73.06854 .14667 (73*2π)/4526 weeks
74-.12081 .23718 (74*2π)/4526 weeks
75-.11405 .01963 (75*2π)/4526 weeks
76-.11314 -.18233 (76*2π)/4526 weeks
77.00821 -.07516 (77*2π)/4526 weeks
78-.00958 -.09244 (78*2π)/4526 weeks
79-.06244 -.01178 (79*2π)/4526 weeks
80-.10561 -.01044 (80*2π)/4526 weeks
81.01392 .08316 (81*2π)/4526 weeks
82.05646 .04024 (82*2π)/4526 weeks
83.01282 -.06204 (83*2π)/4525 weeks
84.07392 .1271 (84*2π)/4525 weeks
85.05585 .17565 (85*2π)/4525 weeks
86-.03698 .00833 (86*2π)/4525 weeks
87.01624 -.07557 (87*2π)/4525 weeks
88.20647 .00151 (88*2π)/4525 weeks
89.21078 .02622 (89*2π)/4525 weeks
90.17052 -.00912 (90*2π)/4525 weeks
91-.02354 -.00134 (91*2π)/4525 weeks
92-.02225 .00689 (92*2π)/4525 weeks
93.00324 .06466 (93*2π)/4525 weeks
94.05993 .06126 (94*2π)/4525 weeks
95.01733 .05465 (95*2π)/4525 weeks
96-.08651 .03741 (96*2π)/4525 weeks
97-.11303 .05079 (97*2π)/4525 weeks
98-.05992 .03801 (98*2π)/4525 weeks
99-.14898 .0345 (99*2π)/4525 weeks
100-.05431 .01097 (100*2π)/4525 weeks
101-.06438 -.07494 (101*2π)/4524 weeks
102-.01593 -.05745 (102*2π)/4524 weeks
103-.05746 .00817 (103*2π)/4524 weeks
104-.01119 -.08699 (104*2π)/4524 weeks
105-.02715 -.09397 (105*2π)/4524 weeks
106.09012 -.03103 (106*2π)/4524 weeks
107.09521 .16142 (107*2π)/4524 weeks
108-.0933 .02858 (108*2π)/4524 weeks
109-.20487 -.06677 (109*2π)/4524 weeks
110.0183 -.03906 (110*2π)/4524 weeks
111.16827 .13891 (111*2π)/4524 weeks
112.01173 .1116 (112*2π)/4524 weeks
113.08642 .02872 (113*2π)/4524 weeks
114-.03284 .211 (114*2π)/4524 weeks
115-.16386 .17555 (115*2π)/4524 weeks
116-.05701 .06976 (116*2π)/4524 weeks
117.02807 -.09675 (117*2π)/4524 weeks
118.02676 .00295 (118*2π)/4524 weeks
119-.06487 .11522 (119*2π)/4524 weeks
120-.08053 .08525 (120*2π)/4524 weeks
121-.03665 .02018 (121*2π)/4524 weeks
122-.04452 -.01932 (122*2π)/4524 weeks
123-.01674 -.00372 (123*2π)/4524 weeks
124.01948 .01144 (124*2π)/4524 weeks
125-.07051 .00106 (125*2π)/4524 weeks
126-.11376 -.07725 (126*2π)/4524 weeks
127-.03202 -.08725 (127*2π)/4524 weeks
128.10877 .04886 (128*2π)/4524 weeks
129-.01683 -.12619 (129*2π)/4524 weeks
130.03172 -.2067 (130*2π)/4523 weeks
131-.09206 .02152 (131*2π)/4523 weeks
132-.16164 .01919 (132*2π)/4523 weeks
133-.04652 -.1031 (133*2π)/4523 weeks
134.10088 -.10358 (134*2π)/4523 weeks
135.01316 .03019 (135*2π)/4523 weeks
136-.05141 -.08861 (136*2π)/4523 weeks
137.05576 -.01349 (137*2π)/4523 weeks
138.14332 .11428 (138*2π)/4523 weeks
139-.06887 .13009 (139*2π)/4523 weeks
140-.17353 .02157 (140*2π)/4523 weeks
141-.04114 .02725 (141*2π)/4523 weeks
142.06551 .03332 (142*2π)/4523 weeks
143-.04523 .03532 (143*2π)/4523 weeks
144-.09068 -.00956 (144*2π)/4523 weeks
145.02473 -.06743 (145*2π)/4523 weeks
146.00836 -.10069 (146*2π)/4523 weeks
147.07175 -.01633 (147*2π)/4523 weeks
148.0707 .05687 (148*2π)/4523 weeks
149-.03634 .08862 (149*2π)/4523 weeks
150-.03195 .09802 (150*2π)/4523 weeks
151.02683 .0468 (151*2π)/4523 weeks
152-.0097 .0535 (152*2π)/4523 weeks
153-.09183 .01916 (153*2π)/4523 weeks
154-.0979 .04022 (154*2π)/4523 weeks
155.00782 .08849 (155*2π)/4523 weeks
156.11099 .0735 (156*2π)/4523 weeks
157-.05866 -.00813 (157*2π)/4523 weeks
158-.03364 -.13425 (158*2π)/4523 weeks
159-.06936 .0179 (159*2π)/4523 weeks
160-.08507 .00567 (160*2π)/4523 weeks
161-.03776 -.12754 (161*2π)/4523 weeks
162.06703 -.16515 (162*2π)/4523 weeks
163.13181 -.02268 (163*2π)/4523 weeks
164.09729 .01747 (164*2π)/4523 weeks
165.06315 .01068 (165*2π)/4523 weeks
166-.0109 .02432 (166*2π)/4523 weeks
167-.03462 .08137 (167*2π)/4523 weeks
168.03319 .04872 (168*2π)/4523 weeks
169.03005 .02886 (169*2π)/4523 weeks
170-.08566 .04194 (170*2π)/4523 weeks
171-.21715 .06049 (171*2π)/4523 weeks
172-.16772 .01412 (172*2π)/4523 weeks
173.0432 -.01043 (173*2π)/4523 weeks
174.03602 -.05458 (174*2π)/4523 weeks
175-.03856 -.02546 (175*2π)/4523 weeks
176.05561 .00826 (176*2π)/4523 weeks
177.05009 .08739 (177*2π)/4523 weeks
178-.00326 .01808 (178*2π)/4523 weeks
179-.109 -.08613 (179*2π)/4523 weeks
180-.06011 .04798 (180*2π)/4523 weeks
181-.05872 .13603 (181*2π)/4522 weeks
182-.0157 -.01215 (182*2π)/4522 weeks
183.03914 -.0754 (183*2π)/4522 weeks
184-.04124 -.04307 (184*2π)/4522 weeks
185.04926 -.03399 (185*2π)/4522 weeks
186.01085 -.08947 (186*2π)/4522 weeks
187.05234 -.03775 (187*2π)/4522 weeks
188.02811 .0782 (188*2π)/4522 weeks
189-.01317 .05828 (189*2π)/4522 weeks
190-.03354 -.06921 (190*2π)/4522 weeks
191.00707 -.09014 (191*2π)/4522 weeks
192-.00285 -.03324 (192*2π)/4522 weeks
193.04 .10739 (193*2π)/4522 weeks
194.05104 .11405 (194*2π)/4522 weeks
195.09691 .12366 (195*2π)/4522 weeks
196.0177 -.0475 (196*2π)/4522 weeks
197.00436 -.04331 (197*2π)/4522 weeks
198-.06295 .00899 (198*2π)/4522 weeks
199-.07436 -.02744 (199*2π)/4522 weeks
200-.00583 -.19144 (200*2π)/4522 weeks
201.03428 -.16897 (201*2π)/4522 weeks
202.0403 -.14848 (202*2π)/4522 weeks
203.06926 .00499 (203*2π)/4522 weeks
204.02526 -.01481 (204*2π)/4522 weeks
205.11445 -.03607 (205*2π)/4522 weeks
206.05476 .01939 (206*2π)/4522 weeks
207.0681 .15468 (207*2π)/4522 weeks
208-.04946 .17118 (208*2π)/4522 weeks
209-.05238 .09159 (209*2π)/4522 weeks
210-.13374 .00004 (210*2π)/4522 weeks
211-.09692 -.03965 (211*2π)/4522 weeks
212-.07833 .04103 (212*2π)/4522 weeks
213-.05414 .03513 (213*2π)/4522 weeks
214-.10246 -.04496 (214*2π)/4522 weeks
215-.07125 -.00433 (215*2π)/4522 weeks
216.01346 .05635 (216*2π)/4522 weeks
217.07153 -.03296 (217*2π)/4522 weeks
218.04506 -.1472 (218*2π)/4522 weeks
219.10048 -.08191 (219*2π)/4522 weeks
220.08067 .07016 (220*2π)/4522 weeks
221.10206 .12672 (221*2π)/4522 weeks
222.16118 .08771 (222*2π)/4522 weeks
223.00071 .11516 (223*2π)/4522 weeks
224-.16644 .0901 (224*2π)/4522 weeks
225-.07745 .01877 (225*2π)/4522 weeks
226-.04097   (226*2π)/4522 weeks
227-.07745 -.01877 (227*2π)/4522 weeks
228-.16644 -.0901 (228*2π)/4522 weeks
229.00071 -.11516 (229*2π)/4522 weeks
230.16118 -.08771 (230*2π)/4522 weeks
231.10206 -.12672 (231*2π)/4522 weeks
232.08067 -.07016 (232*2π)/4522 weeks
233.10048 .08191 (233*2π)/4522 weeks
234.04506 .1472 (234*2π)/4522 weeks
235.07153 .03296 (235*2π)/4522 weeks
236.01346 -.05635 (236*2π)/4522 weeks
237-.07125 .00433 (237*2π)/4522 weeks
238-.10246 .04496 (238*2π)/4522 weeks
239-.05414 -.03513 (239*2π)/4522 weeks
240-.07833 -.04103 (240*2π)/4522 weeks
241-.09692 .03965 (241*2π)/4522 weeks
242-.13374 -.00004 (242*2π)/4522 weeks
243-.05238 -.09159 (243*2π)/4522 weeks
244-.04946 -.17118 (244*2π)/4522 weeks
245.0681 -.15468 (245*2π)/4522 weeks
246.05476 -.01939 (246*2π)/4522 weeks
247.11445 .03607 (247*2π)/4522 weeks
248.02526 .01481 (248*2π)/4522 weeks
249.06926 -.00499 (249*2π)/4522 weeks
250.0403 .14848 (250*2π)/4522 weeks
251.03428 .16897 (251*2π)/4522 weeks
252-.00583 .19144 (252*2π)/4522 weeks
253-.07436 .02744 (253*2π)/4522 weeks
254-.06295 -.00899 (254*2π)/4522 weeks
255.00436 .04331 (255*2π)/4522 weeks
256.0177 .0475 (256*2π)/4522 weeks
257.09691 -.12366 (257*2π)/4522 weeks
258.05104 -.11405 (258*2π)/4522 weeks
259.04 -.10739 (259*2π)/4522 weeks
260-.00285 .03324 (260*2π)/4522 weeks
261.00707 .09014 (261*2π)/4522 weeks
262-.03354 .06921 (262*2π)/4522 weeks
263-.01317 -.05828 (263*2π)/4522 weeks
264.02811 -.0782 (264*2π)/4522 weeks
265.05234 .03775 (265*2π)/4522 weeks
266.01085 .08947 (266*2π)/4522 weeks
267.04926 .03399 (267*2π)/4522 weeks
268-.04124 .04307 (268*2π)/4522 weeks
269.03914 .0754 (269*2π)/4522 weeks
270-.0157 .01215 (270*2π)/4522 weeks
271-.05872 -.13603 (271*2π)/4522 weeks
272-.06011 -.04798 (272*2π)/4522 weeks
273-.109 .08613 (273*2π)/4522 weeks
274-.00326 -.01808 (274*2π)/4522 weeks
275.05009 -.08739 (275*2π)/4522 weeks
276.05561 -.00826 (276*2π)/4522 weeks
277-.03856 .02546 (277*2π)/4522 weeks
278.03602 .05458 (278*2π)/4522 weeks
279.0432 .01043 (279*2π)/4522 weeks
280-.16772 -.01412 (280*2π)/4522 weeks
281-.21715 -.06049 (281*2π)/4522 weeks
282-.08566 -.04194 (282*2π)/4522 weeks
283.03005 -.02886 (283*2π)/4522 weeks
284.03319 -.04872 (284*2π)/4522 weeks
285-.03462 -.08137 (285*2π)/4522 weeks
286-.0109 -.02432 (286*2π)/4522 weeks
287.06315 -.01068 (287*2π)/4522 weeks
288.09729 -.01747 (288*2π)/4522 weeks
289.13181 .02268 (289*2π)/4522 weeks
290.06703 .16515 (290*2π)/4522 weeks
291-.03776 .12754 (291*2π)/4522 weeks
292-.08507 -.00567 (292*2π)/4522 weeks
293-.06936 -.0179 (293*2π)/4522 weeks
294-.03364 .13425 (294*2π)/4522 weeks
295-.05866 .00813 (295*2π)/4522 weeks
296.11099 -.0735 (296*2π)/4522 weeks
297.00782 -.08849 (297*2π)/4522 weeks
298-.0979 -.04022 (298*2π)/4522 weeks
299-.09183 -.01916 (299*2π)/4522 weeks
300-.0097 -.0535 (300*2π)/4522 weeks
301.02683 -.0468 (301*2π)/4522 weeks
302-.03195 -.09802 (302*2π)/4521 weeks
303-.03634 -.08862 (303*2π)/4521 weeks
304.0707 -.05687 (304*2π)/4521 weeks
305.07175 .01633 (305*2π)/4521 weeks
306.00836 .10069 (306*2π)/4521 weeks
307.02473 .06743 (307*2π)/4521 weeks
308-.09068 .00956 (308*2π)/4521 weeks
309-.04523 -.03532 (309*2π)/4521 weeks
310.06551 -.03332 (310*2π)/4521 weeks
311-.04114 -.02725 (311*2π)/4521 weeks
312-.17353 -.02157 (312*2π)/4521 weeks
313-.06887 -.13009 (313*2π)/4521 weeks
314.14332 -.11428 (314*2π)/4521 weeks
315.05576 .01349 (315*2π)/4521 weeks
316-.05141 .08861 (316*2π)/4521 weeks
317.01316 -.03019 (317*2π)/4521 weeks
318.10088 .10358 (318*2π)/4521 weeks
319-.04652 .1031 (319*2π)/4521 weeks
320-.16164 -.01919 (320*2π)/4521 weeks
321-.09206 -.02152 (321*2π)/4521 weeks
322.03172 .2067 (322*2π)/4521 weeks
323-.01683 .12619 (323*2π)/4521 weeks
324.10877 -.04886 (324*2π)/4521 weeks
325-.03202 .08725 (325*2π)/4521 weeks
326-.11376 .07725 (326*2π)/4521 weeks
327-.07051 -.00106 (327*2π)/4521 weeks
328.01948 -.01144 (328*2π)/4521 weeks
329-.01674 .00372 (329*2π)/4521 weeks
330-.04452 .01932 (330*2π)/4521 weeks
331-.03665 -.02018 (331*2π)/4521 weeks
332-.08053 -.08525 (332*2π)/4521 weeks
333-.06487 -.11522 (333*2π)/4521 weeks
334.02676 -.00295 (334*2π)/4521 weeks
335.02807 .09675 (335*2π)/4521 weeks
336-.05701 -.06976 (336*2π)/4521 weeks
337-.16386 -.17555 (337*2π)/4521 weeks
338-.03284 -.211 (338*2π)/4521 weeks
339.08642 -.02872 (339*2π)/4521 weeks
340.01173 -.1116 (340*2π)/4521 weeks
341.16827 -.13891 (341*2π)/4521 weeks
342.0183 .03906 (342*2π)/4521 weeks
343-.20487 .06677 (343*2π)/4521 weeks
344-.0933 -.02858 (344*2π)/4521 weeks
345.09521 -.16142 (345*2π)/4521 weeks
346.09012 .03103 (346*2π)/4521 weeks
347-.02715 .09397 (347*2π)/4521 weeks
348-.01119 .08699 (348*2π)/4521 weeks
349-.05746 -.00817 (349*2π)/4521 weeks
350-.01593 .05745 (350*2π)/4521 weeks
351-.06438 .07494 (351*2π)/4521 weeks
352-.05431 -.01097 (352*2π)/4521 weeks
353-.14898 -.0345 (353*2π)/4521 weeks
354-.05992 -.03801 (354*2π)/4521 weeks
355-.11303 -.05079 (355*2π)/4521 weeks
356-.08651 -.03741 (356*2π)/4521 weeks
357.01733 -.05465 (357*2π)/4521 weeks
358.05993 -.06126 (358*2π)/4521 weeks
359.00324 -.06466 (359*2π)/4521 weeks
360-.02225 -.00689 (360*2π)/4521 weeks
361-.02354 .00134 (361*2π)/4521 weeks
362.17052 .00912 (362*2π)/4521 weeks
363.21078 -.02622 (363*2π)/4521 weeks
364.20647 -.00151 (364*2π)/4521 weeks
365.01624 .07557 (365*2π)/4521 weeks
366-.03698 -.00833 (366*2π)/4521 weeks
367.05585 -.17565 (367*2π)/4521 weeks
368.07392 -.1271 (368*2π)/4521 weeks
369.01282 .06204 (369*2π)/4521 weeks
370.05646 -.04024 (370*2π)/4521 weeks
371.01392 -.08316 (371*2π)/4521 weeks
372-.10561 .01044 (372*2π)/4521 weeks
373-.06244 .01178 (373*2π)/4521 weeks
374-.00958 .09244 (374*2π)/4521 weeks
375.00821 .07516 (375*2π)/4521 weeks
376-.11314 .18233 (376*2π)/4521 weeks
377-.11405 -.01963 (377*2π)/4521 weeks
378-.12081 -.23718 (378*2π)/4521 weeks
379.06854 -.14667 (379*2π)/4521 weeks
380-.0668 -.24115 (380*2π)/4521 weeks
381.08484 -.19914 (381*2π)/4521 weeks
382.08955 .05987 (382*2π)/4521 weeks
383-.00332 -.05369 (383*2π)/4521 weeks
384.22729 -.00971 (384*2π)/4521 weeks
385.23735 .14258 (385*2π)/4521 weeks
386.02252 .37211 (386*2π)/4521 weeks
387-.02068 .26067 (387*2π)/4521 weeks
388-.08794 .01858 (388*2π)/4521 weeks
389.19282 -.2212 (389*2π)/4521 weeks
390-.14874 .14908 (390*2π)/4521 weeks
391-.35734 -.15032 (391*2π)/4521 weeks
392-.04912 .05025 (392*2π)/4521 weeks
393-.02286 .01474 (393*2π)/4521 weeks
394-.00506 -.04849 (394*2π)/4521 weeks
395.04159 -.08242 (395*2π)/4521 weeks
396-.04709 .0459 (396*2π)/4521 weeks
397.07829 .00924 (397*2π)/4521 weeks
398.22331 .03922 (398*2π)/4521 weeks
399.03272 .10439 (399*2π)/4521 weeks
400.00479 .42508 (400*2π)/4521 weeks
401.1624 .13225 (401*2π)/4521 weeks
402.23096 .03158 (402*2π)/4521 weeks
403-.15914 .09953 (403*2π)/4521 weeks
404-.07669 .36399 (404*2π)/4521 weeks
405-.3635 .38628 (405*2π)/4521 weeks
406-.36234 -.14555 (406*2π)/4521 weeks
407-.30868 -.33201 (407*2π)/4521 weeks
408-.07964 -.44427 (408*2π)/4521 weeks
409-.00901 -.1994 (409*2π)/4521 weeks
410-.06045 .02656 (410*2π)/4521 weeks
411-.09573 -.05345 (411*2π)/4521 weeks
412.14984 .10099 (412*2π)/4521 weeks
413-.22365 .11143 (413*2π)/4521 weeks
414-.24488 -.36692 (414*2π)/4521 weeks
415-.31582 -.28095 (415*2π)/4521 weeks
416.08498 -.09273 (416*2π)/4521 weeks
417-.08294 .30449 (417*2π)/4521 weeks
418-.09807 -.16333 (418*2π)/4521 weeks
419.13577 -.13542 (419*2π)/4521 weeks
420.27206 -.33679 (420*2π)/4521 weeks
421-.10378 -.31495 (421*2π)/4521 weeks
422.01287 -.47773 (422*2π)/4521 weeks
423.38532 .17793 (423*2π)/4521 weeks
424.66199 -.01348 (424*2π)/4521 weeks
425.44174 .3651 (425*2π)/4521 weeks
426-.04715 .17818 (426*2π)/4521 weeks
427-.40764 .21425 (427*2π)/4521 weeks
428-.39021 .05874 (428*2π)/4521 weeks
429-.193 .13724 (429*2π)/4521 weeks
430-.44718 -.44111 (430*2π)/4521 weeks
431.00078 -.55587 (431*2π)/4521 weeks
432.48304 -.79129 (432*2π)/4521 weeks
433.76034 -.39158 (433*2π)/4521 weeks
434-.01499 -.45483 (434*2π)/4521 weeks
435.37772 -.04964 (435*2π)/4521 weeks
436.39932 .57759 (436*2π)/4521 weeks
437.16484 -.15917 (437*2π)/4521 weeks
438.00194 -.38222 (438*2π)/4521 weeks
439.48314 -.22581 (439*2π)/4521 weeks
4401.45149 1.0919 (440*2π)/4521 weeks
441.70312 1.43257 (441*2π)/4521 weeks
442-.91294 .72557 (442*2π)/4521 weeks
443-.1059 -.46821 (443*2π)/4521 weeks
444.81053 1.2297 (444*2π)/4521 weeks
445-.8729 1.59036 (445*2π)/4521 weeks
446-3.71725 .07718 (446*2π)/4521 weeks
447-1.17082 -2.6832 (447*2π)/4521 weeks
448.10409 -.47944 (448*2π)/4521 weeks
449-4.65718 -.62059 (449*2π)/4521 weeks
450-3.64118 -3.06017 (450*2π)/4521 weeks

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