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Fourier Analysis of DTO (DB Crude Oil Double Short ETN d)


DTO (DB Crude Oil Double Short ETN d) appears to have interesting cyclic behaviour every 45 weeks (16.2123*sine), 41 weeks (10.0244*sine), and 30 weeks (3.5423*cosine).

DTO (DB Crude Oil Double Short ETN d) has an average price of 74.09 (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 6/17/2008 to 1/9/2017 for DTO (DB Crude Oil Double Short ETN d), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
074.08594   0 
143.44578 -2.53162 (1*2π)/448448 weeks
28.87638 -14.15468 (2*2π)/448224 weeks
3-11.00822 -6.51607 (3*2π)/448149 weeks
4-12.50894 2.48164 (4*2π)/448112 weeks
5-14.98851 1.06279 (5*2π)/44890 weeks
6-16.83404 .39393 (6*2π)/44875 weeks
7-12.67319 -2.1433 (7*2π)/44864 weeks
8.71313 -3.01262 (8*2π)/44856 weeks
92.59087 -9.38882 (9*2π)/44850 weeks
10.81853 -16.21229 (10*2π)/44845 weeks
111.64793 -10.02438 (11*2π)/44841 weeks
12.14752 -6.45072 (12*2π)/44837 weeks
132.30566 -3.35178 (13*2π)/44834 weeks
14-1.00115 -.51577 (14*2π)/44832 weeks
15-3.5423 .7929 (15*2π)/44830 weeks
16-.6236 4.95279 (16*2π)/44828 weeks
172.03013 3.37963 (17*2π)/44826 weeks
181.74525 -.33073 (18*2π)/44825 weeks
191.33579 -5.17249 (19*2π)/44824 weeks
20-1.92088 -4.24883 (20*2π)/44822 weeks
21-1.17352 -3.66785 (21*2π)/44821 weeks
22-.96533 -.22042 (22*2π)/44820 weeks
23-.62049 -.35123 (23*2π)/44819 weeks
24-.37809 .86033 (24*2π)/44819 weeks
25-1.48095 -1.89821 (25*2π)/44818 weeks
26-.03011 -1.90845 (26*2π)/44817 weeks
27-.69816 -.41596 (27*2π)/44817 weeks
28-.54894 -.54547 (28*2π)/44816 weeks
29.36066 -1.16476 (29*2π)/44815 weeks
30-.82487 -.94729 (30*2π)/44815 weeks
31-1.17757 -.52038 (31*2π)/44814 weeks
32-.94481 1.00693 (32*2π)/44814 weeks
33-1.50125 .91573 (33*2π)/44814 weeks
34-.77045 -.71679 (34*2π)/44813 weeks
35-.25208 -.84854 (35*2π)/44813 weeks
36.09243 -.94219 (36*2π)/44812 weeks
37.47165 -1.20599 (37*2π)/44812 weeks
38.82965 -2.94333 (38*2π)/44812 weeks
39.3695 -2.16788 (39*2π)/44811 weeks
40-.08899 .13443 (40*2π)/44811 weeks
41.22129 1.69584 (41*2π)/44811 weeks
42.67645 2.18942 (42*2π)/44811 weeks
43-.15577 1.23943 (43*2π)/44810 weeks
44-1.79157 .36237 (44*2π)/44810 weeks
45-1.45946 -.36693 (45*2π)/44810 weeks
46.00707 -1.50973 (46*2π)/44810 weeks
47.87119 -2.43805 (47*2π)/44810 weeks
48.75277 -2.37956 (48*2π)/4489 weeks
49.42962 -1.73454 (49*2π)/4489 weeks
50.45986 .51162 (50*2π)/4489 weeks
51.49009 .32042 (51*2π)/4489 weeks
521.18985 .01363 (52*2π)/4489 weeks
53.70859 -.1477 (53*2π)/4488 weeks
54.82566 -.12852 (54*2π)/4488 weeks
55.75044 -.16066 (55*2π)/4488 weeks
56-.18963 -1.50784 (56*2π)/4488 weeks
57.29635 -2.54835 (57*2π)/4488 weeks
58-.70023 -2.29946 (58*2π)/4488 weeks
59-.95792 -1.28733 (59*2π)/4488 weeks
60-1.00715 -.75124 (60*2π)/4487 weeks
61-1.71759 -.95734 (61*2π)/4487 weeks
62-1.0006 -1.00513 (62*2π)/4487 weeks
63-.52625 .39255 (63*2π)/4487 weeks
64-.30906 .71249 (64*2π)/4487 weeks
65.1671 -.01629 (65*2π)/4487 weeks
66-.09228 -.30279 (66*2π)/4487 weeks
67-.68811 -.76351 (67*2π)/4487 weeks
68-.24949 -.56996 (68*2π)/4487 weeks
69-.76837 .07163 (69*2π)/4486 weeks
70-1.24436 -.48668 (70*2π)/4486 weeks
71-.60089 -.00462 (71*2π)/4486 weeks
72-.56304 .2932 (72*2π)/4486 weeks
73.32647 -.23157 (73*2π)/4486 weeks
74.78467 -.27192 (74*2π)/4486 weeks
75.9197 .10587 (75*2π)/4486 weeks
76.67895 -.13364 (76*2π)/4486 weeks
77.40606 -.4409 (77*2π)/4486 weeks
78-.24211 -1.55027 (78*2π)/4486 weeks
79-.70871 -1.28814 (79*2π)/4486 weeks
80-.92869 -.79922 (80*2π)/4486 weeks
81-.93261 .54238 (81*2π)/4486 weeks
82-.65929 .97779 (82*2π)/4485 weeks
83-.30672 .66333 (83*2π)/4485 weeks
84.68165 .59467 (84*2π)/4485 weeks
85.79516 -.04205 (85*2π)/4485 weeks
86.35319 -.80228 (86*2π)/4485 weeks
87-.08574 -1.02492 (87*2π)/4485 weeks
88-.33327 -.43367 (88*2π)/4485 weeks
89-.54122 .04303 (89*2π)/4485 weeks
90-.337 -.06118 (90*2π)/4485 weeks
91.12034 -.2304 (91*2π)/4485 weeks
92.24024 -.11611 (92*2π)/4485 weeks
93.07193 .40568 (93*2π)/4485 weeks
94.44585 -.0708 (94*2π)/4485 weeks
95.15191 -.30524 (95*2π)/4485 weeks
96-.23241 -.54286 (96*2π)/4485 weeks
97-.91399 -.56092 (97*2π)/4485 weeks
98-.83067 -.43825 (98*2π)/4485 weeks
99-.5726 -.75318 (99*2π)/4485 weeks
100-.24009 -.39274 (100*2π)/4484 weeks
101-.14536 -.31065 (101*2π)/4484 weeks
102.14926 -.93002 (102*2π)/4484 weeks
103.39267 -.93535 (103*2π)/4484 weeks
104.11636 -.67597 (104*2π)/4484 weeks
105-.45046 -.17278 (105*2π)/4484 weeks
106-.20389 .27273 (106*2π)/4484 weeks
107-.06992 1.09447 (107*2π)/4484 weeks
108.13246 .83102 (108*2π)/4484 weeks
109.03174 -.04628 (109*2π)/4484 weeks
110.16164 -.62133 (110*2π)/4484 weeks
111-.28554 -.63918 (111*2π)/4484 weeks
112-.64799 -1.16862 (112*2π)/4484 weeks
113-.03202 -.71753 (113*2π)/4484 weeks
114-.27086 -.11522 (114*2π)/4484 weeks
115-.18821 .26127 (115*2π)/4484 weeks
116.00116 .27872 (116*2π)/4484 weeks
117.20279 -.35693 (117*2π)/4484 weeks
118.34806 -.71022 (118*2π)/4484 weeks
119-.23954 -.52138 (119*2π)/4484 weeks
120-.35397 -.44809 (120*2π)/4484 weeks
121-.29437 .01035 (121*2π)/4484 weeks
122-.45055 .30096 (122*2π)/4484 weeks
123-.45808 .81812 (123*2π)/4484 weeks
124-.7037 .81112 (124*2π)/4484 weeks
125-.23271 .19369 (125*2π)/4484 weeks
126.0122 -.32336 (126*2π)/4484 weeks
127-.08021 -.56365 (127*2π)/4484 weeks
128-.09182 -.66336 (128*2π)/4484 weeks
129-.14075 -.30886 (129*2π)/4483 weeks
130.07127 -.64137 (130*2π)/4483 weeks
131.38833 -.58728 (131*2π)/4483 weeks
132.31851 -.02843 (132*2π)/4483 weeks
133-.05531 .10523 (133*2π)/4483 weeks
134.10137 -.04629 (134*2π)/4483 weeks
135.05124 -.06875 (135*2π)/4483 weeks
136-.42311 -.05409 (136*2π)/4483 weeks
137-.6054 -.15587 (137*2π)/4483 weeks
138-.59684 -.30411 (138*2π)/4483 weeks
139-.2722 -.80184 (139*2π)/4483 weeks
140-.6378 -.79586 (140*2π)/4483 weeks
141-.70094 -.35176 (141*2π)/4483 weeks
142-.4722 .26557 (142*2π)/4483 weeks
143-.40145 .5597 (143*2π)/4483 weeks
144-.22385 .26772 (144*2π)/4483 weeks
145-.50738 -.10779 (145*2π)/4483 weeks
146-.50536 .03608 (146*2π)/4483 weeks
147-.66048 -.22325 (147*2π)/4483 weeks
148-.25006 -.45356 (148*2π)/4483 weeks
149-.13195 -.3814 (149*2π)/4483 weeks
150.05535 -.29624 (150*2π)/4483 weeks
151.30961 -.33231 (151*2π)/4483 weeks
152.78696 -.09716 (152*2π)/4483 weeks
153.31675 .23379 (153*2π)/4483 weeks
154-.31942 .09097 (154*2π)/4483 weeks
155-.2676 .55748 (155*2π)/4483 weeks
156-.23422 .84637 (156*2π)/4483 weeks
157-.21729 .70423 (157*2π)/4483 weeks
158-.41605 .47687 (158*2π)/4483 weeks
159-.73058 -.12852 (159*2π)/4483 weeks
160-.56145 -.54957 (160*2π)/4483 weeks
161-.43946 -.68263 (161*2π)/4483 weeks
162-.34098 -.75786 (162*2π)/4483 weeks
163.17963 -.68889 (163*2π)/4483 weeks
164-.05681 -.63686 (164*2π)/4483 weeks
165-.08805 -.45404 (165*2π)/4483 weeks
166-.39361 -.17636 (166*2π)/4483 weeks
167-.06927 -.22602 (167*2π)/4483 weeks
168.18356 .1985 (168*2π)/4483 weeks
169.21922 .27434 (169*2π)/4483 weeks
170.40636 .43293 (170*2π)/4483 weeks
171.20256 .59777 (171*2π)/4483 weeks
172-.04682 .41235 (172*2π)/4483 weeks
173-.42347 -.05211 (173*2π)/4483 weeks
174-.86719 -.02713 (174*2π)/4483 weeks
175-.87079 -.34259 (175*2π)/4483 weeks
176-.553 -.23568 (176*2π)/4483 weeks
177-.26825 -.55917 (177*2π)/4483 weeks
178.16975 -.67411 (178*2π)/4483 weeks
179.33133 -.4411 (179*2π)/4483 weeks
180.33336 -.16441 (180*2π)/4482 weeks
181.03342 -.25666 (181*2π)/4482 weeks
182.09033 -.47414 (182*2π)/4482 weeks
183-.09902 -.24275 (183*2π)/4482 weeks
184-.48838 -.34539 (184*2π)/4482 weeks
185-.53034 -.19362 (185*2π)/4482 weeks
186-.54483 -.05781 (186*2π)/4482 weeks
187-.42395 .07216 (187*2π)/4482 weeks
188-.32223 .09456 (188*2π)/4482 weeks
189-.24822 .26364 (189*2π)/4482 weeks
190-.11093 .33749 (190*2π)/4482 weeks
191-.08654 .44099 (191*2π)/4482 weeks
192-.246 .1696 (192*2π)/4482 weeks
193-.48632 .04437 (193*2π)/4482 weeks
194-.56578 -.17433 (194*2π)/4482 weeks
195-.40831 -.48556 (195*2π)/4482 weeks
196-.49527 -.34957 (196*2π)/4482 weeks
197-.3461 -.50247 (197*2π)/4482 weeks
198-.18708 -.02691 (198*2π)/4482 weeks
199-.02457 .04306 (199*2π)/4482 weeks
200.02434 -.01399 (200*2π)/4482 weeks
201-.1224 -.01853 (201*2π)/4482 weeks
202.02476 .09163 (202*2π)/4482 weeks
203-.05581 .12032 (203*2π)/4482 weeks
204-.10137 .33496 (204*2π)/4482 weeks
205-.4523 .1308 (205*2π)/4482 weeks
206-.19257 .05169 (206*2π)/4482 weeks
207-.10434 -.00295 (207*2π)/4482 weeks
208-.04784 -.20358 (208*2π)/4482 weeks
209-.15279 -.03933 (209*2π)/4482 weeks
210-.15623 .27505 (210*2π)/4482 weeks
211.17181 .32777 (211*2π)/4482 weeks
212-.01953 .36502 (212*2π)/4482 weeks
213-.55145 -.06198 (213*2π)/4482 weeks
214-.61674 -.08129 (214*2π)/4482 weeks
215-.39726 .15437 (215*2π)/4482 weeks
216-.18524 .28253 (216*2π)/4482 weeks
217-.39306 -.02606 (217*2π)/4482 weeks
218-.34982 -.33087 (218*2π)/4482 weeks
219-.00514 -.0772 (219*2π)/4482 weeks
220-.02249 .01243 (220*2π)/4482 weeks
221-.1798 -.0387 (221*2π)/4482 weeks
222-.05199 -.11509 (222*2π)/4482 weeks
223.07165 -.11575 (223*2π)/4482 weeks
224.50982   (224*2π)/4482 weeks
225.07165 .11575 (225*2π)/4482 weeks
226-.05199 .11509 (226*2π)/4482 weeks
227-.1798 .0387 (227*2π)/4482 weeks
228-.02249 -.01243 (228*2π)/4482 weeks
229-.00514 .0772 (229*2π)/4482 weeks
230-.34982 .33087 (230*2π)/4482 weeks
231-.39306 .02606 (231*2π)/4482 weeks
232-.18524 -.28253 (232*2π)/4482 weeks
233-.39726 -.15437 (233*2π)/4482 weeks
234-.61674 .08129 (234*2π)/4482 weeks
235-.55145 .06198 (235*2π)/4482 weeks
236-.01953 -.36502 (236*2π)/4482 weeks
237.17181 -.32777 (237*2π)/4482 weeks
238-.15623 -.27505 (238*2π)/4482 weeks
239-.15279 .03933 (239*2π)/4482 weeks
240-.04784 .20358 (240*2π)/4482 weeks
241-.10434 .00295 (241*2π)/4482 weeks
242-.19257 -.05169 (242*2π)/4482 weeks
243-.4523 -.1308 (243*2π)/4482 weeks
244-.10137 -.33496 (244*2π)/4482 weeks
245-.05581 -.12032 (245*2π)/4482 weeks
246.02476 -.09163 (246*2π)/4482 weeks
247-.1224 .01853 (247*2π)/4482 weeks
248.02434 .01399 (248*2π)/4482 weeks
249-.02457 -.04306 (249*2π)/4482 weeks
250-.18708 .02691 (250*2π)/4482 weeks
251-.3461 .50247 (251*2π)/4482 weeks
252-.49527 .34957 (252*2π)/4482 weeks
253-.40831 .48556 (253*2π)/4482 weeks
254-.56578 .17433 (254*2π)/4482 weeks
255-.48632 -.04437 (255*2π)/4482 weeks
256-.246 -.1696 (256*2π)/4482 weeks
257-.08654 -.44099 (257*2π)/4482 weeks
258-.11093 -.33749 (258*2π)/4482 weeks
259-.24822 -.26364 (259*2π)/4482 weeks
260-.32223 -.09456 (260*2π)/4482 weeks
261-.42395 -.07216 (261*2π)/4482 weeks
262-.54483 .05781 (262*2π)/4482 weeks
263-.53034 .19362 (263*2π)/4482 weeks
264-.48838 .34539 (264*2π)/4482 weeks
265-.09902 .24275 (265*2π)/4482 weeks
266.09033 .47414 (266*2π)/4482 weeks
267.03342 .25666 (267*2π)/4482 weeks
268.33336 .16441 (268*2π)/4482 weeks
269.33133 .4411 (269*2π)/4482 weeks
270.16975 .67411 (270*2π)/4482 weeks
271-.26825 .55917 (271*2π)/4482 weeks
272-.553 .23568 (272*2π)/4482 weeks
273-.87079 .34259 (273*2π)/4482 weeks
274-.86719 .02713 (274*2π)/4482 weeks
275-.42347 .05211 (275*2π)/4482 weeks
276-.04682 -.41235 (276*2π)/4482 weeks
277.20256 -.59777 (277*2π)/4482 weeks
278.40636 -.43293 (278*2π)/4482 weeks
279.21922 -.27434 (279*2π)/4482 weeks
280.18356 -.1985 (280*2π)/4482 weeks
281-.06927 .22602 (281*2π)/4482 weeks
282-.39361 .17636 (282*2π)/4482 weeks
283-.08805 .45404 (283*2π)/4482 weeks
284-.05681 .63686 (284*2π)/4482 weeks
285.17963 .68889 (285*2π)/4482 weeks
286-.34098 .75786 (286*2π)/4482 weeks
287-.43946 .68263 (287*2π)/4482 weeks
288-.56145 .54957 (288*2π)/4482 weeks
289-.73058 .12852 (289*2π)/4482 weeks
290-.41605 -.47687 (290*2π)/4482 weeks
291-.21729 -.70423 (291*2π)/4482 weeks
292-.23422 -.84637 (292*2π)/4482 weeks
293-.2676 -.55748 (293*2π)/4482 weeks
294-.31942 -.09097 (294*2π)/4482 weeks
295.31675 -.23379 (295*2π)/4482 weeks
296.78696 .09716 (296*2π)/4482 weeks
297.30961 .33231 (297*2π)/4482 weeks
298.05535 .29624 (298*2π)/4482 weeks
299-.13195 .3814 (299*2π)/4481 weeks
300-.25006 .45356 (300*2π)/4481 weeks
301-.66048 .22325 (301*2π)/4481 weeks
302-.50536 -.03608 (302*2π)/4481 weeks
303-.50738 .10779 (303*2π)/4481 weeks
304-.22385 -.26772 (304*2π)/4481 weeks
305-.40145 -.5597 (305*2π)/4481 weeks
306-.4722 -.26557 (306*2π)/4481 weeks
307-.70094 .35176 (307*2π)/4481 weeks
308-.6378 .79586 (308*2π)/4481 weeks
309-.2722 .80184 (309*2π)/4481 weeks
310-.59684 .30411 (310*2π)/4481 weeks
311-.6054 .15587 (311*2π)/4481 weeks
312-.42311 .05409 (312*2π)/4481 weeks
313.05124 .06875 (313*2π)/4481 weeks
314.10137 .04629 (314*2π)/4481 weeks
315-.05531 -.10523 (315*2π)/4481 weeks
316.31851 .02843 (316*2π)/4481 weeks
317.38833 .58728 (317*2π)/4481 weeks
318.07127 .64137 (318*2π)/4481 weeks
319-.14075 .30886 (319*2π)/4481 weeks
320-.09182 .66336 (320*2π)/4481 weeks
321-.08021 .56365 (321*2π)/4481 weeks
322.0122 .32336 (322*2π)/4481 weeks
323-.23271 -.19369 (323*2π)/4481 weeks
324-.7037 -.81112 (324*2π)/4481 weeks
325-.45808 -.81812 (325*2π)/4481 weeks
326-.45055 -.30096 (326*2π)/4481 weeks
327-.29437 -.01035 (327*2π)/4481 weeks
328-.35397 .44809 (328*2π)/4481 weeks
329-.23954 .52138 (329*2π)/4481 weeks
330.34806 .71022 (330*2π)/4481 weeks
331.20279 .35693 (331*2π)/4481 weeks
332.00116 -.27872 (332*2π)/4481 weeks
333-.18821 -.26127 (333*2π)/4481 weeks
334-.27086 .11522 (334*2π)/4481 weeks
335-.03202 .71753 (335*2π)/4481 weeks
336-.64799 1.16862 (336*2π)/4481 weeks
337-.28554 .63918 (337*2π)/4481 weeks
338.16164 .62133 (338*2π)/4481 weeks
339.03174 .04628 (339*2π)/4481 weeks
340.13246 -.83102 (340*2π)/4481 weeks
341-.06992 -1.09447 (341*2π)/4481 weeks
342-.20389 -.27273 (342*2π)/4481 weeks
343-.45046 .17278 (343*2π)/4481 weeks
344.11636 .67597 (344*2π)/4481 weeks
345.39267 .93535 (345*2π)/4481 weeks
346.14926 .93002 (346*2π)/4481 weeks
347-.14536 .31065 (347*2π)/4481 weeks
348-.24009 .39274 (348*2π)/4481 weeks
349-.5726 .75318 (349*2π)/4481 weeks
350-.83067 .43825 (350*2π)/4481 weeks
351-.91399 .56092 (351*2π)/4481 weeks
352-.23241 .54286 (352*2π)/4481 weeks
353.15191 .30524 (353*2π)/4481 weeks
354.44585 .0708 (354*2π)/4481 weeks
355.07193 -.40568 (355*2π)/4481 weeks
356.24024 .11611 (356*2π)/4481 weeks
357.12034 .2304 (357*2π)/4481 weeks
358-.337 .06118 (358*2π)/4481 weeks
359-.54122 -.04303 (359*2π)/4481 weeks
360-.33327 .43367 (360*2π)/4481 weeks
361-.08574 1.02492 (361*2π)/4481 weeks
362.35319 .80228 (362*2π)/4481 weeks
363.79516 .04205 (363*2π)/4481 weeks
364.68165 -.59467 (364*2π)/4481 weeks
365-.30672 -.66333 (365*2π)/4481 weeks
366-.65929 -.97779 (366*2π)/4481 weeks
367-.93261 -.54238 (367*2π)/4481 weeks
368-.92869 .79922 (368*2π)/4481 weeks
369-.70871 1.28814 (369*2π)/4481 weeks
370-.24211 1.55027 (370*2π)/4481 weeks
371.40606 .4409 (371*2π)/4481 weeks
372.67895 .13364 (372*2π)/4481 weeks
373.9197 -.10587 (373*2π)/4481 weeks
374.78467 .27192 (374*2π)/4481 weeks
375.32647 .23157 (375*2π)/4481 weeks
376-.56304 -.2932 (376*2π)/4481 weeks
377-.60089 .00462 (377*2π)/4481 weeks
378-1.24436 .48668 (378*2π)/4481 weeks
379-.76837 -.07163 (379*2π)/4481 weeks
380-.24949 .56996 (380*2π)/4481 weeks
381-.68811 .76351 (381*2π)/4481 weeks
382-.09228 .30279 (382*2π)/4481 weeks
383.1671 .01629 (383*2π)/4481 weeks
384-.30906 -.71249 (384*2π)/4481 weeks
385-.52625 -.39255 (385*2π)/4481 weeks
386-1.0006 1.00513 (386*2π)/4481 weeks
387-1.71759 .95734 (387*2π)/4481 weeks
388-1.00715 .75124 (388*2π)/4481 weeks
389-.95792 1.28733 (389*2π)/4481 weeks
390-.70023 2.29946 (390*2π)/4481 weeks
391.29635 2.54835 (391*2π)/4481 weeks
392-.18963 1.50784 (392*2π)/4481 weeks
393.75044 .16066 (393*2π)/4481 weeks
394.82566 .12852 (394*2π)/4481 weeks
395.70859 .1477 (395*2π)/4481 weeks
3961.18985 -.01363 (396*2π)/4481 weeks
397.49009 -.32042 (397*2π)/4481 weeks
398.45986 -.51162 (398*2π)/4481 weeks
399.42962 1.73454 (399*2π)/4481 weeks
400.75277 2.37956 (400*2π)/4481 weeks
401.87119 2.43805 (401*2π)/4481 weeks
402.00707 1.50973 (402*2π)/4481 weeks
403-1.45946 .36693 (403*2π)/4481 weeks
404-1.79157 -.36237 (404*2π)/4481 weeks
405-.15577 -1.23943 (405*2π)/4481 weeks
406.67645 -2.18942 (406*2π)/4481 weeks
407.22129 -1.69584 (407*2π)/4481 weeks
408-.08899 -.13443 (408*2π)/4481 weeks
409.3695 2.16788 (409*2π)/4481 weeks
410.82965 2.94333 (410*2π)/4481 weeks
411.47165 1.20599 (411*2π)/4481 weeks
412.09243 .94219 (412*2π)/4481 weeks
413-.25208 .84854 (413*2π)/4481 weeks
414-.77045 .71679 (414*2π)/4481 weeks
415-1.50125 -.91573 (415*2π)/4481 weeks
416-.94481 -1.00693 (416*2π)/4481 weeks
417-1.17757 .52038 (417*2π)/4481 weeks
418-.82487 .94729 (418*2π)/4481 weeks
419.36066 1.16476 (419*2π)/4481 weeks
420-.54894 .54547 (420*2π)/4481 weeks
421-.69816 .41596 (421*2π)/4481 weeks
422-.03011 1.90845 (422*2π)/4481 weeks
423-1.48095 1.89821 (423*2π)/4481 weeks
424-.37809 -.86033 (424*2π)/4481 weeks
425-.62049 .35123 (425*2π)/4481 weeks
426-.96533 .22042 (426*2π)/4481 weeks
427-1.17352 3.66785 (427*2π)/4481 weeks
428-1.92088 4.24883 (428*2π)/4481 weeks
4291.33579 5.17249 (429*2π)/4481 weeks
4301.74525 .33073 (430*2π)/4481 weeks
4312.03013 -3.37963 (431*2π)/4481 weeks
432-.6236 -4.95279 (432*2π)/4481 weeks
433-3.5423 -.7929 (433*2π)/4481 weeks
434-1.00115 .51577 (434*2π)/4481 weeks
4352.30566 3.35178 (435*2π)/4481 weeks
436.14752 6.45072 (436*2π)/4481 weeks
4371.64793 10.02438 (437*2π)/4481 weeks
438.81853 16.21229 (438*2π)/4481 weeks
4392.59087 9.38882 (439*2π)/4481 weeks
440.71313 3.01262 (440*2π)/4481 weeks
441-12.67319 2.1433 (441*2π)/4481 weeks
442-16.83404 -.39393 (442*2π)/4481 weeks
443-14.98851 -1.06279 (443*2π)/4481 weeks
444-12.50894 -2.48164 (444*2π)/4481 weeks
445-11.00822 6.51607 (445*2π)/4481 weeks
4468.87638 14.15468 (446*2π)/4481 weeks

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