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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 44 weeks (1.4991*sine), 37 weeks (1.3603*cosine), and 37 weeks (1.0197*sine).

AGA (DB Agriculture Double Short ETN) has an average price of 26.21 (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 4/16/2018 for AGA (DB Agriculture Double Short ETN), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
026.21054   0
110.23681 2.51806 (1*2π)/523523 weeks
2-3.22658 6.12101 (2*2π)/523262 weeks
3-1.77238 3.05175 (3*2π)/523174 weeks
4-.50844 -1.80233 (4*2π)/523131 weeks
5.43691 .29871 (5*2π)/523105 weeks
6-1.58975 1.736 (6*2π)/52387 weeks
7-3.18159 -.60628 (7*2π)/52375 weeks
8-.74026 -1.66568 (8*2π)/52365 weeks
9.45715 -1.73438 (9*2π)/52358 weeks
10.56559 -.1561 (10*2π)/52352 weeks
11-.70567 -.35762 (11*2π)/52348 weeks
12-.61388 -1.49909 (12*2π)/52344 weeks
13.62191 -1.20186 (13*2π)/52340 weeks
141.3603 -1.0197 (14*2π)/52337 weeks
15.30058 -.06641 (15*2π)/52335 weeks
16-.04796 .218 (16*2π)/52333 weeks
17-.04565 -.09474 (17*2π)/52331 weeks
18-.33247 -.19986 (18*2π)/52329 weeks
19.51192 .02163 (19*2π)/52328 weeks
20.45694 .1712 (20*2π)/52326 weeks
21-.00486 .27763 (21*2π)/52325 weeks
22.81085 .38897 (22*2π)/52324 weeks
23.69461 .52069 (23*2π)/52323 weeks
24.14022 .2875 (24*2π)/52322 weeks
25-.17943 .24061 (25*2π)/52321 weeks
26-.5101 -.14022 (26*2π)/52320 weeks
27-.11886 -.16923 (27*2π)/52319 weeks
28-.39257 -.37039 (28*2π)/52319 weeks
29-.52798 -.4048 (29*2π)/52318 weeks
30-.16619 -.28872 (30*2π)/52317 weeks
31.06945 -.58931 (31*2π)/52317 weeks
32.17375 -.25147 (32*2π)/52316 weeks
33-.0418 .22714 (33*2π)/52316 weeks
34.41148 .27106 (34*2π)/52315 weeks
35-.15574 .35543 (35*2π)/52315 weeks
36-.20499 .32968 (36*2π)/52315 weeks
37.20823 .37179 (37*2π)/52314 weeks
38.02031 .17315 (38*2π)/52314 weeks
39-.08263 .28255 (39*2π)/52313 weeks
40-.2501 .12156 (40*2π)/52313 weeks
41.2865 .03554 (41*2π)/52313 weeks
42.25492 .1282 (42*2π)/52312 weeks
43-.25777 .00382 (43*2π)/52312 weeks
44-.30391 .27839 (44*2π)/52312 weeks
45-.26761 -.09838 (45*2π)/52312 weeks
46-.05243 -.15475 (46*2π)/52311 weeks
47-.05825 .23757 (47*2π)/52311 weeks
48.01013 .13221 (48*2π)/52311 weeks
49.1345 .01702 (49*2π)/52311 weeks
50.03962 .16825 (50*2π)/52310 weeks
51-.02922 .38611 (51*2π)/52310 weeks
52-.18357 .25475 (52*2π)/52310 weeks
53-.24263 .05792 (53*2π)/52310 weeks
54-.44582 -.23669 (54*2π)/52310 weeks
55-.1393 -.34413 (55*2π)/52310 weeks
56.0821 -.23345 (56*2π)/5239 weeks
57-.10605 -.30937 (57*2π)/5239 weeks
58.11788 -.04171 (58*2π)/5239 weeks
59.1197 -.17505 (59*2π)/5239 weeks
60-.13683 -.36567 (60*2π)/5239 weeks
61.05698 -.08219 (61*2π)/5239 weeks
62.10447 -.11817 (62*2π)/5238 weeks
63.134 .06324 (63*2π)/5238 weeks
64.10384 -.00334 (64*2π)/5238 weeks
65.00782 -.12121 (65*2π)/5238 weeks
66.0332 .00412 (66*2π)/5238 weeks
67-.06287 -.05303 (67*2π)/5238 weeks
68-.14923 -.00873 (68*2π)/5238 weeks
69-.10894 .0628 (69*2π)/5238 weeks
70.012 .15257 (70*2π)/5237 weeks
71-.30187 -.11272 (71*2π)/5237 weeks
72-.10248 -.19975 (72*2π)/5237 weeks
73.04928 .23151 (73*2π)/5237 weeks
74-.12032 .01479 (74*2π)/5237 weeks
75-.11797 -.20166 (75*2π)/5237 weeks
76-.12513 -.16715 (76*2π)/5237 weeks
77.18308 -.09391 (77*2π)/5237 weeks
78.28352 .05148 (78*2π)/5237 weeks
79.27847 .11176 (79*2π)/5237 weeks
80.09933 .04561 (80*2π)/5237 weeks
81.20603 -.07205 (81*2π)/5236 weeks
82.20559 .10003 (82*2π)/5236 weeks
83.09741 .12543 (83*2π)/5236 weeks
84.03018 -.07817 (84*2π)/5236 weeks
85-.05494 .05421 (85*2π)/5236 weeks
86-.28152 .10254 (86*2π)/5236 weeks
87-.1464 .05297 (87*2π)/5236 weeks
88-.09964 -.15173 (88*2π)/5236 weeks
89-.00131 -.02849 (89*2π)/5236 weeks
90.02676 -.02431 (90*2π)/5236 weeks
91.06906 .00082 (91*2π)/5236 weeks
92.06232 -.03417 (92*2π)/5236 weeks
93.04893 -.18744 (93*2π)/5236 weeks
94-.07232 -.06626 (94*2π)/5236 weeks
95-.0122 .02866 (95*2π)/5236 weeks
96.03127 -.05682 (96*2π)/5235 weeks
97.14008 .02793 (97*2π)/5235 weeks
98.09971 .0028 (98*2π)/5235 weeks
99-.07021 -.05854 (99*2π)/5235 weeks
100-.10641 -.15457 (100*2π)/5235 weeks
101-.08318 -.15242 (101*2π)/5235 weeks
102.07102 .01627 (102*2π)/5235 weeks
103.0866 -.0136 (103*2π)/5235 weeks
104-.01143 -.00532 (104*2π)/5235 weeks
105-.10649 .14444 (105*2π)/5235 weeks
106-.02447 .11403 (106*2π)/5235 weeks
107.03537 .08787 (107*2π)/5235 weeks
108.04424 .06183 (108*2π)/5235 weeks
109.05074 .0495 (109*2π)/5235 weeks
110-.00322 .05484 (110*2π)/5235 weeks
111-.08731 .04996 (111*2π)/5235 weeks
112-.09968 .07391 (112*2π)/5235 weeks
113-.0667 .06397 (113*2π)/5235 weeks
114-.01361 .09211 (114*2π)/5235 weeks
115-.06877 -.07477 (115*2π)/5235 weeks
116-.08086 .00001 (116*2π)/5235 weeks
117-.02855 -.08502 (117*2π)/5234 weeks
118-.03835 -.09153 (118*2π)/5234 weeks
119-.08178 .02665 (119*2π)/5234 weeks
120-.03906 -.0316 (120*2π)/5234 weeks
121.00504 -.0263 (121*2π)/5234 weeks
122.08284 -.07112 (122*2π)/5234 weeks
123.15925 -.03761 (123*2π)/5234 weeks
124.0522 .08488 (124*2π)/5234 weeks
125-.11487 -.02895 (125*2π)/5234 weeks
126-.20209 -.03225 (126*2π)/5234 weeks
127.00349 -.08759 (127*2π)/5234 weeks
128.10583 -.03112 (128*2π)/5234 weeks
129-.00365 .1328 (129*2π)/5234 weeks
130-.04784 .07744 (130*2π)/5234 weeks
131.08259 .11687 (131*2π)/5234 weeks
132.00197 .20858 (132*2π)/5234 weeks
133-.09553 .14054 (133*2π)/5234 weeks
134-.02925 .00601 (134*2π)/5234 weeks
135-.0756 -.11171 (135*2π)/5234 weeks
136.00922 -.01854 (136*2π)/5234 weeks
137.0237 .06318 (137*2π)/5234 weeks
138-.04347 .06041 (138*2π)/5234 weeks
139-.08236 .01889 (139*2π)/5234 weeks
140-.04058 -.00611 (140*2π)/5234 weeks
141-.03822 -.0659 (141*2π)/5234 weeks
142-.0647 -.09984 (142*2π)/5234 weeks
143-.12413 -.04123 (143*2π)/5234 weeks
144-.10258 .07918 (144*2π)/5234 weeks
145-.12712 .03304 (145*2π)/5234 weeks
146-.11974 -.01071 (146*2π)/5234 weeks
147.00196 -.01216 (147*2π)/5234 weeks
148.14347 .00628 (148*2π)/5234 weeks
149-.09735 -.07762 (149*2π)/5234 weeks
150-.03894 -.05574 (150*2π)/5233 weeks
151.14006 .01676 (151*2π)/5233 weeks
152-.02203 -.04266 (152*2π)/5233 weeks
153-.14379 -.08725 (153*2π)/5233 weeks
154-.07075 -.13326 (154*2π)/5233 weeks
155.02354 -.08164 (155*2π)/5233 weeks
156.0336 .06868 (156*2π)/5233 weeks
157-.04865 -.01083 (157*2π)/5233 weeks
158.07097 -.04535 (158*2π)/5233 weeks
159.10604 -.03418 (159*2π)/5233 weeks
160.05761 .11159 (160*2π)/5233 weeks
161-.11792 .11135 (161*2π)/5233 weeks
162-.15505 .06221 (162*2π)/5233 weeks
163-.01073 .03884 (163*2π)/5233 weeks
164.04782 .00524 (164*2π)/5233 weeks
165.01849 .08319 (165*2π)/5233 weeks
166-.00872 .00156 (166*2π)/5233 weeks
167-.06559 -.05842 (167*2π)/5233 weeks
168.06587 -.03641 (168*2π)/5233 weeks
169.03557 -.13297 (169*2π)/5233 weeks
170.05694 -.02261 (170*2π)/5233 weeks
171.10438 .0396 (171*2π)/5233 weeks
172.0547 .0556 (172*2π)/5233 weeks
173.00785 .00901 (173*2π)/5233 weeks
174-.02509 -.00738 (174*2π)/5233 weeks
175-.00014 .00077 (175*2π)/5233 weeks
176-.03381 .02899 (176*2π)/5233 weeks
177-.07152 .00743 (177*2π)/5233 weeks
178-.04722 .00161 (178*2π)/5233 weeks
179.02201 -.04521 (179*2π)/5233 weeks
180-.02312 -.09201 (180*2π)/5233 weeks
181-.11144 .06401 (181*2π)/5233 weeks
182-.1188 .01412 (182*2π)/5233 weeks
183.00561 -.09797 (183*2π)/5233 weeks
184-.09667 -.02566 (184*2π)/5233 weeks
185-.12742 .01635 (185*2π)/5233 weeks
186-.08428 -.07914 (186*2π)/5233 weeks
187-.03292 -.1294 (187*2π)/5233 weeks
188.08085 -.04783 (188*2π)/5233 weeks
189.11166 .0466 (189*2π)/5233 weeks
190.10224 .01628 (190*2π)/5233 weeks
191.04837 .00826 (191*2π)/5233 weeks
192.00422 .02772 (192*2π)/5233 weeks
193-.00174 .04414 (193*2π)/5233 weeks
194-.0277 -.0032 (194*2π)/5233 weeks
195-.02545 .06225 (195*2π)/5233 weeks
196.01422 .08634 (196*2π)/5233 weeks
197-.05491 .04328 (197*2π)/5233 weeks
198-.17691 .01191 (198*2π)/5233 weeks
199-.14943 -.00351 (199*2π)/5233 weeks
200.02149 -.05371 (200*2π)/5233 weeks
201-.01478 -.04558 (201*2π)/5233 weeks
202-.00213 .00033 (202*2π)/5233 weeks
203-.01016 -.03857 (203*2π)/5233 weeks
204.05819 .04255 (204*2π)/5233 weeks
205.03851 .08268 (205*2π)/5233 weeks
206.01719 .01761 (206*2π)/5233 weeks
207-.06706 -.0512 (207*2π)/5233 weeks
208.05279 -.0136 (208*2π)/5233 weeks
209.03069 -.03977 (209*2π)/5233 weeks
210-.12529 -.10105 (210*2π)/5232 weeks
211-.12138 -.08848 (211*2π)/5232 weeks
212-.04061 -.03844 (212*2π)/5232 weeks
213-.06978 -.03666 (213*2π)/5232 weeks
214.00757 -.06536 (214*2π)/5232 weeks
215-.08435 -.05435 (215*2π)/5232 weeks
216.02557 -.00409 (216*2π)/5232 weeks
217.05843 .00497 (217*2π)/5232 weeks
218-.06065 .04873 (218*2π)/5232 weeks
219-.06127 .08233 (219*2π)/5232 weeks
220-.01374 -.06359 (220*2π)/5232 weeks
221-.02393 -.06224 (221*2π)/5232 weeks
222.02365 .01501 (222*2π)/5232 weeks
223.12501 .0134 (223*2π)/5232 weeks
224.01659 -.02983 (224*2π)/5232 weeks
225-.05179 .00668 (225*2π)/5232 weeks
226-.0998 .12231 (226*2π)/5232 weeks
227-.02519 .0371 (227*2π)/5232 weeks
228.00986 .00191 (228*2π)/5232 weeks
229-.06581 .00719 (229*2π)/5232 weeks
230-.10856 -.00912 (230*2π)/5232 weeks
231-.11952 -.07719 (231*2π)/5232 weeks
232.00529 -.07196 (232*2π)/5232 weeks
233.05987 -.04891 (233*2π)/5232 weeks
234.13074 -.10009 (234*2π)/5232 weeks
235.06377 -.0243 (235*2π)/5232 weeks
236-.00831 -.00816 (236*2π)/5232 weeks
237.08165 -.01029 (237*2π)/5232 weeks
238.07305 .04719 (238*2π)/5232 weeks
239.10864 .0804 (239*2π)/5232 weeks
240.04783 .1425 (240*2π)/5232 weeks
241-.07034 .08758 (241*2π)/5232 weeks
242-.08459 .0928 (242*2π)/5232 weeks
243-.10968 .03295 (243*2π)/5232 weeks
244-.07703 -.01698 (244*2π)/5232 weeks
245-.01944 .06053 (245*2π)/5232 weeks
246.02021 .00717 (246*2π)/5232 weeks
247-.03525 -.03683 (247*2π)/5232 weeks
248-.04728 -.1129 (248*2π)/5232 weeks
249-.06996 -.07142 (249*2π)/5232 weeks
250-.02177 -.00297 (250*2π)/5232 weeks
251.00997 -.07628 (251*2π)/5232 weeks
252-.05015 -.11908 (252*2π)/5232 weeks
253.03324 -.0735 (253*2π)/5232 weeks
254.08641 .01555 (254*2π)/5232 weeks
255.05027 .05344 (255*2π)/5232 weeks
256.01574 .10526 (256*2π)/5232 weeks
257.11145 .14937 (257*2π)/5232 weeks
258.02283 .12821 (258*2π)/5232 weeks
259-.10923 .1011 (259*2π)/5232 weeks
260-.09253 -.00649 (260*2π)/5232 weeks
261-.06327 .00302 (261*2π)/5232 weeks
262-.06327 -.00302 (262*2π)/5232 weeks
263-.09253 .00649 (263*2π)/5232 weeks
264-.10923 -.1011 (264*2π)/5232 weeks
265.02283 -.12821 (265*2π)/5232 weeks
266.11145 -.14937 (266*2π)/5232 weeks
267.01574 -.10526 (267*2π)/5232 weeks
268.05027 -.05344 (268*2π)/5232 weeks
269.08641 -.01555 (269*2π)/5232 weeks
270.03324 .0735 (270*2π)/5232 weeks
271-.05015 .11908 (271*2π)/5232 weeks
272.00997 .07628 (272*2π)/5232 weeks
273-.02177 .00297 (273*2π)/5232 weeks
274-.06996 .07142 (274*2π)/5232 weeks
275-.04728 .1129 (275*2π)/5232 weeks
276-.03525 .03683 (276*2π)/5232 weeks
277.02021 -.00717 (277*2π)/5232 weeks
278-.01944 -.06053 (278*2π)/5232 weeks
279-.07703 .01698 (279*2π)/5232 weeks
280-.10968 -.03295 (280*2π)/5232 weeks
281-.08459 -.0928 (281*2π)/5232 weeks
282-.07034 -.08758 (282*2π)/5232 weeks
283.04783 -.1425 (283*2π)/5232 weeks
284.10864 -.0804 (284*2π)/5232 weeks
285.07305 -.04719 (285*2π)/5232 weeks
286.08165 .01029 (286*2π)/5232 weeks
287-.00831 .00816 (287*2π)/5232 weeks
288.06377 .0243 (288*2π)/5232 weeks
289.13074 .10009 (289*2π)/5232 weeks
290.05987 .04891 (290*2π)/5232 weeks
291.00529 .07196 (291*2π)/5232 weeks
292-.11952 .07719 (292*2π)/5232 weeks
293-.10856 .00912 (293*2π)/5232 weeks
294-.06581 -.00719 (294*2π)/5232 weeks
295.00986 -.00191 (295*2π)/5232 weeks
296-.02519 -.0371 (296*2π)/5232 weeks
297-.0998 -.12231 (297*2π)/5232 weeks
298-.05179 -.00668 (298*2π)/5232 weeks
299.01659 .02983 (299*2π)/5232 weeks
300.12501 -.0134 (300*2π)/5232 weeks
301.02365 -.01501 (301*2π)/5232 weeks
302-.02393 .06224 (302*2π)/5232 weeks
303-.01374 .06359 (303*2π)/5232 weeks
304-.06127 -.08233 (304*2π)/5232 weeks
305-.06065 -.04873 (305*2π)/5232 weeks
306.05843 -.00497 (306*2π)/5232 weeks
307.02557 .00409 (307*2π)/5232 weeks
308-.08435 .05435 (308*2π)/5232 weeks
309.00757 .06536 (309*2π)/5232 weeks
310-.06978 .03666 (310*2π)/5232 weeks
311-.04061 .03844 (311*2π)/5232 weeks
312-.12138 .08848 (312*2π)/5232 weeks
313-.12529 .10105 (313*2π)/5232 weeks
314.03069 .03977 (314*2π)/5232 weeks
315.05279 .0136 (315*2π)/5232 weeks
316-.06706 .0512 (316*2π)/5232 weeks
317.01719 -.01761 (317*2π)/5232 weeks
318.03851 -.08268 (318*2π)/5232 weeks
319.05819 -.04255 (319*2π)/5232 weeks
320-.01016 .03857 (320*2π)/5232 weeks
321-.00213 -.00033 (321*2π)/5232 weeks
322-.01478 .04558 (322*2π)/5232 weeks
323.02149 .05371 (323*2π)/5232 weeks
324-.14943 .00351 (324*2π)/5232 weeks
325-.17691 -.01191 (325*2π)/5232 weeks
326-.05491 -.04328 (326*2π)/5232 weeks
327.01422 -.08634 (327*2π)/5232 weeks
328-.02545 -.06225 (328*2π)/5232 weeks
329-.0277 .0032 (329*2π)/5232 weeks
330-.00174 -.04414 (330*2π)/5232 weeks
331.00422 -.02772 (331*2π)/5232 weeks
332.04837 -.00826 (332*2π)/5232 weeks
333.10224 -.01628 (333*2π)/5232 weeks
334.11166 -.0466 (334*2π)/5232 weeks
335.08085 .04783 (335*2π)/5232 weeks
336-.03292 .1294 (336*2π)/5232 weeks
337-.08428 .07914 (337*2π)/5232 weeks
338-.12742 -.01635 (338*2π)/5232 weeks
339-.09667 .02566 (339*2π)/5232 weeks
340.00561 .09797 (340*2π)/5232 weeks
341-.1188 -.01412 (341*2π)/5232 weeks
342-.11144 -.06401 (342*2π)/5232 weeks
343-.02312 .09201 (343*2π)/5232 weeks
344.02201 .04521 (344*2π)/5232 weeks
345-.04722 -.00161 (345*2π)/5232 weeks
346-.07152 -.00743 (346*2π)/5232 weeks
347-.03381 -.02899 (347*2π)/5232 weeks
348-.00014 -.00077 (348*2π)/5232 weeks
349-.02509 .00738 (349*2π)/5231 weeks
350.00785 -.00901 (350*2π)/5231 weeks
351.0547 -.0556 (351*2π)/5231 weeks
352.10438 -.0396 (352*2π)/5231 weeks
353.05694 .02261 (353*2π)/5231 weeks
354.03557 .13297 (354*2π)/5231 weeks
355.06587 .03641 (355*2π)/5231 weeks
356-.06559 .05842 (356*2π)/5231 weeks
357-.00872 -.00156 (357*2π)/5231 weeks
358.01849 -.08319 (358*2π)/5231 weeks
359.04782 -.00524 (359*2π)/5231 weeks
360-.01073 -.03884 (360*2π)/5231 weeks
361-.15505 -.06221 (361*2π)/5231 weeks
362-.11792 -.11135 (362*2π)/5231 weeks
363.05761 -.11159 (363*2π)/5231 weeks
364.10604 .03418 (364*2π)/5231 weeks
365.07097 .04535 (365*2π)/5231 weeks
366-.04865 .01083 (366*2π)/5231 weeks
367.0336 -.06868 (367*2π)/5231 weeks
368.02354 .08164 (368*2π)/5231 weeks
369-.07075 .13326 (369*2π)/5231 weeks
370-.14379 .08725 (370*2π)/5231 weeks
371-.02203 .04266 (371*2π)/5231 weeks
372.14006 -.01676 (372*2π)/5231 weeks
373-.03894 .05574 (373*2π)/5231 weeks
374-.09735 .07762 (374*2π)/5231 weeks
375.14347 -.00628 (375*2π)/5231 weeks
376.00196 .01216 (376*2π)/5231 weeks
377-.11974 .01071 (377*2π)/5231 weeks
378-.12712 -.03304 (378*2π)/5231 weeks
379-.10258 -.07918 (379*2π)/5231 weeks
380-.12413 .04123 (380*2π)/5231 weeks
381-.0647 .09984 (381*2π)/5231 weeks
382-.03822 .0659 (382*2π)/5231 weeks
383-.04058 .00611 (383*2π)/5231 weeks
384-.08236 -.01889 (384*2π)/5231 weeks
385-.04347 -.06041 (385*2π)/5231 weeks
386.0237 -.06318 (386*2π)/5231 weeks
387.00922 .01854 (387*2π)/5231 weeks
388-.0756 .11171 (388*2π)/5231 weeks
389-.02925 -.00601 (389*2π)/5231 weeks
390-.09553 -.14054 (390*2π)/5231 weeks
391.00197 -.20858 (391*2π)/5231 weeks
392.08259 -.11687 (392*2π)/5231 weeks
393-.04784 -.07744 (393*2π)/5231 weeks
394-.00365 -.1328 (394*2π)/5231 weeks
395.10583 .03112 (395*2π)/5231 weeks
396.00349 .08759 (396*2π)/5231 weeks
397-.20209 .03225 (397*2π)/5231 weeks
398-.11487 .02895 (398*2π)/5231 weeks
399.0522 -.08488 (399*2π)/5231 weeks
400.15925 .03761 (400*2π)/5231 weeks
401.08284 .07112 (401*2π)/5231 weeks
402.00504 .0263 (402*2π)/5231 weeks
403-.03906 .0316 (403*2π)/5231 weeks
404-.08178 -.02665 (404*2π)/5231 weeks
405-.03835 .09153 (405*2π)/5231 weeks
406-.02855 .08502 (406*2π)/5231 weeks
407-.08086 -.00001 (407*2π)/5231 weeks
408-.06877 .07477 (408*2π)/5231 weeks
409-.01361 -.09211 (409*2π)/5231 weeks
410-.0667 -.06397 (410*2π)/5231 weeks
411-.09968 -.07391 (411*2π)/5231 weeks
412-.08731 -.04996 (412*2π)/5231 weeks
413-.00322 -.05484 (413*2π)/5231 weeks
414.05074 -.0495 (414*2π)/5231 weeks
415.04424 -.06183 (415*2π)/5231 weeks
416.03537 -.08787 (416*2π)/5231 weeks
417-.02447 -.11403 (417*2π)/5231 weeks
418-.10649 -.14444 (418*2π)/5231 weeks
419-.01143 .00532 (419*2π)/5231 weeks
420.0866 .0136 (420*2π)/5231 weeks
421.07102 -.01627 (421*2π)/5231 weeks
422-.08318 .15242 (422*2π)/5231 weeks
423-.10641 .15457 (423*2π)/5231 weeks
424-.07021 .05854 (424*2π)/5231 weeks
425.09971 -.0028 (425*2π)/5231 weeks
426.14008 -.02793 (426*2π)/5231 weeks
427.03127 .05682 (427*2π)/5231 weeks
428-.0122 -.02866 (428*2π)/5231 weeks
429-.07232 .06626 (429*2π)/5231 weeks
430.04893 .18744 (430*2π)/5231 weeks
431.06232 .03417 (431*2π)/5231 weeks
432.06906 -.00082 (432*2π)/5231 weeks
433.02676 .02431 (433*2π)/5231 weeks
434-.00131 .02849 (434*2π)/5231 weeks
435-.09964 .15173 (435*2π)/5231 weeks
436-.1464 -.05297 (436*2π)/5231 weeks
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