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Fourier Analysis of EWV (PROSHARES ULTRASHORT MSCI JAPAN PROSHARES ULTRASHORT MSCI JAPAN)


EWV (PROSHARES ULTRASHORT MSCI JAPAN PROSHARES ULTRASHORT MSCI JAPAN) appears to have interesting cyclic behaviour every 48 weeks (11.4037*sine), 33 weeks (11.2014*sine), and 44 weeks (10.2501*sine).

EWV (PROSHARES ULTRASHORT MSCI JAPAN PROSHARES ULTRASHORT MSCI JAPAN) has an average price of 131.48 (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 11/8/2007 to 1/16/2018 for EWV (PROSHARES ULTRASHORT MSCI JAPAN PROSHARES ULTRASHORT MSCI JAPAN), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0131.4776   0 
134.58733 93.33439 (1*2π)/533533 weeks
213.11675 52.3439 (2*2π)/533267 weeks
3-10.05025 47.21943 (3*2π)/533178 weeks
4-10.98314 22.28136 (4*2π)/533133 weeks
5-13.22962 18.49773 (5*2π)/533107 weeks
6-6.1976 1.96867 (6*2π)/53389 weeks
7-.5896 -.2453 (7*2π)/53376 weeks
88.29918 4.41492 (8*2π)/53367 weeks
93.48901 11.25771 (9*2π)/53359 weeks
105.19468 7.65714 (10*2π)/53353 weeks
113.37812 11.40372 (11*2π)/53348 weeks
12-1.00989 10.25014 (12*2π)/53344 weeks
13-1.00236 8.13051 (13*2π)/53341 weeks
14-.02753 4.74858 (14*2π)/53338 weeks
151.0714 8.50636 (15*2π)/53336 weeks
16-1.59071 11.20143 (16*2π)/53333 weeks
17-5.88746 5.24239 (17*2π)/53331 weeks
18-4.69076 4.283 (18*2π)/53330 weeks
19-5.73673 .17231 (19*2π)/53328 weeks
20-.54109 -1.49288 (20*2π)/53327 weeks
21.9951 .18427 (21*2π)/53325 weeks
222.94512 -.82222 (22*2π)/53324 weeks
233.74232 3.06907 (23*2π)/53323 weeks
242.75854 5.56727 (24*2π)/53322 weeks
25-.13026 7.07044 (25*2π)/53321 weeks
26-3.12383 3.64902 (26*2π)/53321 weeks
27-1.90865 2.12098 (27*2π)/53320 weeks
28-4.12754 -1.02611 (28*2π)/53319 weeks
29.34191 -3.08486 (29*2π)/53318 weeks
303.50679 -.9799 (30*2π)/53318 weeks
315.52956 .4036 (31*2π)/53317 weeks
324.57873 4.32629 (32*2π)/53317 weeks
331.20414 6.26534 (33*2π)/53316 weeks
34-1.19613 4.11527 (34*2π)/53316 weeks
35-.92162 2.94646 (35*2π)/53315 weeks
36-1.05151 1.63053 (36*2π)/53315 weeks
37-.45289 1.94422 (37*2π)/53314 weeks
38-.60803 .58361 (38*2π)/53314 weeks
39.39355 .55763 (39*2π)/53314 weeks
401.7903 .79297 (40*2π)/53313 weeks
41.32322 2.74411 (41*2π)/53313 weeks
42-.23004 .71421 (42*2π)/53313 weeks
43.51399 1.53499 (43*2π)/53312 weeks
44.53906 .33434 (44*2π)/53312 weeks
451.39843 .5064 (45*2π)/53312 weeks
461.25206 2.48658 (46*2π)/53312 weeks
471.12262 1.23233 (47*2π)/53311 weeks
481.0103 2.31906 (48*2π)/53311 weeks
49-.01889 2.64685 (49*2π)/53311 weeks
50-1.52142 1.94886 (50*2π)/53311 weeks
51-.22429 .05643 (51*2π)/53310 weeks
52-.22041 .17567 (52*2π)/53310 weeks
531.16711 -1.311 (53*2π)/53310 weeks
542.86721 .0306 (54*2π)/53310 weeks
552.30432 2.3676 (55*2π)/53310 weeks
561.76891 2.16797 (56*2π)/53310 weeks
57.7583 3.04212 (57*2π)/5339 weeks
58-.22036 2.04855 (58*2π)/5339 weeks
59-.77477 1.64589 (59*2π)/5339 weeks
60.06977 .23914 (60*2π)/5339 weeks
61.08091 1.15707 (61*2π)/5339 weeks
62.46395 .08812 (62*2π)/5339 weeks
63.97642 .61855 (63*2π)/5338 weeks
64.61343 .94521 (64*2π)/5338 weeks
651.14503 .28572 (65*2π)/5338 weeks
661.47223 .92338 (66*2π)/5338 weeks
671.70025 1.07646 (67*2π)/5338 weeks
681.94113 1.99595 (68*2π)/5338 weeks
691.31972 2.53896 (69*2π)/5338 weeks
70-.04589 2.96246 (70*2π)/5338 weeks
71-1.01345 2.46184 (71*2π)/5338 weeks
72-1.34811 1.54044 (72*2π)/5337 weeks
73-1.64247 -.08605 (73*2π)/5337 weeks
74-.62375 -.54684 (74*2π)/5337 weeks
75.33532 -2.02669 (75*2π)/5337 weeks
762.49229 -.94993 (76*2π)/5337 weeks
772.80694 1.17943 (77*2π)/5337 weeks
782.42372 1.42752 (78*2π)/5337 weeks
791.58637 2.93029 (79*2π)/5337 weeks
80-.04031 2.36673 (80*2π)/5337 weeks
81-.58921 2.2968 (81*2π)/5337 weeks
82-1.55183 1.11448 (82*2π)/5337 weeks
83-1.10451 -.14781 (83*2π)/5336 weeks
84.30354 -.87547 (84*2π)/5336 weeks
851.24239 -.82891 (85*2π)/5336 weeks
861.83673 .09986 (86*2π)/5336 weeks
871.7568 1.34122 (87*2π)/5336 weeks
88.92858 1.34761 (88*2π)/5336 weeks
891.07028 1.28886 (89*2π)/5336 weeks
90.90297 1.32769 (90*2π)/5336 weeks
91.91806 .94313 (91*2π)/5336 weeks
92.55973 2.09589 (92*2π)/5336 weeks
93-.32718 1.67705 (93*2π)/5336 weeks
94-.69019 .96305 (94*2π)/5336 weeks
95-.07717 .00634 (95*2π)/5336 weeks
96.44214 .07914 (96*2π)/5336 weeks
97.54284 -.11323 (97*2π)/5335 weeks
98.89919 -.24315 (98*2π)/5335 weeks
991.6673 .72179 (99*2π)/5335 weeks
1001.76849 1.52473 (100*2π)/5335 weeks
101.96681 1.86354 (101*2π)/5335 weeks
102.27898 2.12527 (102*2π)/5335 weeks
103-.68806 1.36851 (103*2π)/5335 weeks
104-.38684 1.1101 (104*2π)/5335 weeks
105-1.03326 .74432 (105*2π)/5335 weeks
106-.15771 -.62763 (106*2π)/5335 weeks
107.0313 -.61212 (107*2π)/5335 weeks
108.7508 -.47436 (108*2π)/5335 weeks
1091.30128 -.08042 (109*2π)/5335 weeks
1101.86573 .29592 (110*2π)/5335 weeks
1111.51245 1.62807 (111*2π)/5335 weeks
112.70034 1.31079 (112*2π)/5335 weeks
113.07732 1.43529 (113*2π)/5335 weeks
114.21751 .89104 (114*2π)/5335 weeks
115-.24991 .88594 (115*2π)/5335 weeks
116.00658 .14769 (116*2π)/5335 weeks
117-.01059 -.0842 (117*2π)/5335 weeks
118.53061 -.23538 (118*2π)/5335 weeks
1191.22619 -.35613 (119*2π)/5334 weeks
1201.54175 .5496 (120*2π)/5334 weeks
1211.48263 .76872 (121*2π)/5334 weeks
1221.11027 .96432 (122*2π)/5334 weeks
123.80495 1.52168 (123*2π)/5334 weeks
124.75617 1.27084 (124*2π)/5334 weeks
125.65351 1.66723 (125*2π)/5334 weeks
126-.536 1.3833 (126*2π)/5334 weeks
127-.07626 .74351 (127*2π)/5334 weeks
128-.10345 .52852 (128*2π)/5334 weeks
129-.13546 .7169 (129*2π)/5334 weeks
130.18837 .33354 (130*2π)/5334 weeks
131.38196 .30418 (131*2π)/5334 weeks
132.08673 .2831 (132*2π)/5334 weeks
133.3902 -.00521 (133*2π)/5334 weeks
1341.09855 .4462 (134*2π)/5334 weeks
135.93289 .98596 (135*2π)/5334 weeks
136.43477 .96973 (136*2π)/5334 weeks
137.05976 1.17342 (137*2π)/5334 weeks
138-.3528 .62705 (138*2π)/5334 weeks
139-.24343 .48569 (139*2π)/5334 weeks
140-.09661 .7527 (140*2π)/5334 weeks
141-.21525 -.01381 (141*2π)/5334 weeks
142-.09507 -.11008 (142*2π)/5334 weeks
143.17885 -.46668 (143*2π)/5334 weeks
144.78049 -.4139 (144*2π)/5334 weeks
145.93802 .12295 (145*2π)/5334 weeks
1461.19459 .26746 (146*2π)/5334 weeks
1471.06341 1.11869 (147*2π)/5334 weeks
148.11171 1.08818 (148*2π)/5334 weeks
149-.15153 .67384 (149*2π)/5334 weeks
150-.08586 .18142 (150*2π)/5334 weeks
151.47192 .06384 (151*2π)/5334 weeks
152.444 .19038 (152*2π)/5334 weeks
153.16515 .36484 (153*2π)/5333 weeks
154.23079 -.31252 (154*2π)/5333 weeks
155.6986 .13852 (155*2π)/5333 weeks
156.7524 .26432 (156*2π)/5333 weeks
157.66342 .46034 (157*2π)/5333 weeks
158.39721 .30059 (158*2π)/5333 weeks
1591.10064 .42446 (159*2π)/5333 weeks
160.24437 .77886 (160*2π)/5333 weeks
161.428 .51955 (161*2π)/5333 weeks
162.05489 .74344 (162*2π)/5333 weeks
163-.27463 .28072 (163*2π)/5333 weeks
164.04213 -.05268 (164*2π)/5333 weeks
165.24136 -.53203 (165*2π)/5333 weeks
166.82382 -.38777 (166*2π)/5333 weeks
1671.12273 .00568 (167*2π)/5333 weeks
168.97815 .29717 (168*2π)/5333 weeks
169.95306 .6318 (169*2π)/5333 weeks
170.72188 .8146 (170*2π)/5333 weeks
171.56602 1.0872 (171*2π)/5333 weeks
172.0456 .96818 (172*2π)/5333 weeks
173-.452 .47 (173*2π)/5333 weeks
174-.11858 .09868 (174*2π)/5333 weeks
175-.04254 .11516 (175*2π)/5333 weeks
176.11041 -.14801 (176*2π)/5333 weeks
177.30454 -.16208 (177*2π)/5333 weeks
178.48345 -.38798 (178*2π)/5333 weeks
179.8535 .15126 (179*2π)/5333 weeks
180.85832 .40254 (180*2π)/5333 weeks
181.62409 .55232 (181*2π)/5333 weeks
182.30392 .80825 (182*2π)/5333 weeks
183-.31841 .5373 (183*2π)/5333 weeks
184-.03093 -.06895 (184*2π)/5333 weeks
185-.22447 -.03529 (185*2π)/5333 weeks
186.02824 -.53654 (186*2π)/5333 weeks
187.38126 -.43675 (187*2π)/5333 weeks
188.75553 -.67637 (188*2π)/5333 weeks
1891.32469 -.54459 (189*2π)/5333 weeks
1901.17317 .61333 (190*2π)/5333 weeks
191.76627 .49115 (191*2π)/5333 weeks
192.66391 .81049 (192*2π)/5333 weeks
193.1001 .66499 (193*2π)/5333 weeks
194.20399 .11608 (194*2π)/5333 weeks
195-.04014 .43662 (195*2π)/5333 weeks
196-.47116 -.40354 (196*2π)/5333 weeks
197.69112 -.74233 (197*2π)/5333 weeks
198.50132 -.64306 (198*2π)/5333 weeks
1991.34518 -.54099 (199*2π)/5333 weeks
2001.64197 -.02192 (200*2π)/5333 weeks
2011.50566 .83764 (201*2π)/5333 weeks
202.85813 1.0084 (202*2π)/5333 weeks
203.26993 1.12647 (203*2π)/5333 weeks
204-.0231 .60559 (204*2π)/5333 weeks
205-.31794 .28447 (205*2π)/5333 weeks
206-.27711 -.12368 (206*2π)/5333 weeks
207.07238 -.85649 (207*2π)/5333 weeks
208.85123 -.62013 (208*2π)/5333 weeks
2091.28839 -.35028 (209*2π)/5333 weeks
2101.53403 .18962 (210*2π)/5333 weeks
2111.04687 .61704 (211*2π)/5333 weeks
212.68923 .76561 (212*2π)/5333 weeks
213.67382 .63015 (213*2π)/5333 weeks
214.33002 .6854 (214*2π)/5332 weeks
215.14669 .63242 (215*2π)/5332 weeks
216.14134 .30861 (216*2π)/5332 weeks
217.10187 .27834 (217*2π)/5332 weeks
218.11827 .03942 (218*2π)/5332 weeks
219.26819 -.23949 (219*2π)/5332 weeks
220.52787 -.17282 (220*2π)/5332 weeks
221.59575 -.14109 (221*2π)/5332 weeks
222.88593 .1999 (222*2π)/5332 weeks
223.8019 .24766 (223*2π)/5332 weeks
224.74247 .21904 (224*2π)/5332 weeks
225.78221 .77506 (225*2π)/5332 weeks
226.28153 .65536 (226*2π)/5332 weeks
227.04161 .74709 (227*2π)/5332 weeks
228-.14046 .40464 (228*2π)/5332 weeks
229-.16162 .14495 (229*2π)/5332 weeks
230-.0591 -.13448 (230*2π)/5332 weeks
231-.17881 -.32796 (231*2π)/5332 weeks
232.54953 -.99676 (232*2π)/5332 weeks
233.69754 -.14424 (233*2π)/5332 weeks
234.907 -.20556 (234*2π)/5332 weeks
2351.15761 .32364 (235*2π)/5332 weeks
236.52123 .50452 (236*2π)/5332 weeks
237.2891 .57174 (237*2π)/5332 weeks
238-.13426 .59963 (238*2π)/5332 weeks
239-.28499 -.0414 (239*2π)/5332 weeks
240.04245 -.63676 (240*2π)/5332 weeks
241.36731 -.53001 (241*2π)/5332 weeks
242.56661 -.64582 (242*2π)/5332 weeks
2431.012 -.48362 (243*2π)/5332 weeks
244.88644 -.15459 (244*2π)/5332 weeks
2451.18302 -.08072 (245*2π)/5332 weeks
2461.16322 .13831 (246*2π)/5332 weeks
2471.18556 .5153 (247*2π)/5332 weeks
2481.27635 .8496 (248*2π)/5332 weeks
249.03265 1.38528 (249*2π)/5332 weeks
250-.3367 .49827 (250*2π)/5332 weeks
251-.1143 .21515 (251*2π)/5332 weeks
252-.33863 -.26071 (252*2π)/5332 weeks
253.05798 -.67405 (253*2π)/5332 weeks
254.84748 -.68575 (254*2π)/5332 weeks
2551.17533 .06835 (255*2π)/5332 weeks
2561.08504 .40652 (256*2π)/5332 weeks
257.93364 .50033 (257*2π)/5332 weeks
258.51905 .88081 (258*2π)/5332 weeks
259.19383 1.11619 (259*2π)/5332 weeks
260-.70292 .68391 (260*2π)/5332 weeks
261-.55428 -.26292 (261*2π)/5332 weeks
262-.41778 -.52418 (262*2π)/5332 weeks
263-.02322 -.80364 (263*2π)/5332 weeks
264.81087 -.76984 (264*2π)/5332 weeks
265.82441 -.62572 (265*2π)/5332 weeks
2661.19781 -.44623 (266*2π)/5332 weeks
2671.19781 .44623 (267*2π)/5332 weeks
268.82441 .62572 (268*2π)/5332 weeks
269.81087 .76984 (269*2π)/5332 weeks
270-.02322 .80364 (270*2π)/5332 weeks
271-.41778 .52418 (271*2π)/5332 weeks
272-.55428 .26292 (272*2π)/5332 weeks
273-.70292 -.68391 (273*2π)/5332 weeks
274.19383 -1.11619 (274*2π)/5332 weeks
275.51905 -.88081 (275*2π)/5332 weeks
276.93364 -.50033 (276*2π)/5332 weeks
2771.08504 -.40652 (277*2π)/5332 weeks
2781.17533 -.06835 (278*2π)/5332 weeks
279.84748 .68575 (279*2π)/5332 weeks
280.05798 .67405 (280*2π)/5332 weeks
281-.33863 .26071 (281*2π)/5332 weeks
282-.1143 -.21515 (282*2π)/5332 weeks
283-.3367 -.49827 (283*2π)/5332 weeks
284.03265 -1.38528 (284*2π)/5332 weeks
2851.27635 -.8496 (285*2π)/5332 weeks
2861.18556 -.5153 (286*2π)/5332 weeks
2871.16322 -.13831 (287*2π)/5332 weeks
2881.18302 .08072 (288*2π)/5332 weeks
289.88644 .15459 (289*2π)/5332 weeks
2901.012 .48362 (290*2π)/5332 weeks
291.56661 .64582 (291*2π)/5332 weeks
292.36731 .53001 (292*2π)/5332 weeks
293.04245 .63676 (293*2π)/5332 weeks
294-.28499 .0414 (294*2π)/5332 weeks
295-.13426 -.59963 (295*2π)/5332 weeks
296.2891 -.57174 (296*2π)/5332 weeks
297.52123 -.50452 (297*2π)/5332 weeks
2981.15761 -.32364 (298*2π)/5332 weeks
299.907 .20556 (299*2π)/5332 weeks
300.69754 .14424 (300*2π)/5332 weeks
301.54953 .99676 (301*2π)/5332 weeks
302-.17881 .32796 (302*2π)/5332 weeks
303-.0591 .13448 (303*2π)/5332 weeks
304-.16162 -.14495 (304*2π)/5332 weeks
305-.14046 -.40464 (305*2π)/5332 weeks
306.04161 -.74709 (306*2π)/5332 weeks
307.28153 -.65536 (307*2π)/5332 weeks
308.78221 -.77506 (308*2π)/5332 weeks
309.74247 -.21904 (309*2π)/5332 weeks
310.8019 -.24766 (310*2π)/5332 weeks
311.88593 -.1999 (311*2π)/5332 weeks
312.59575 .14109 (312*2π)/5332 weeks
313.52787 .17282 (313*2π)/5332 weeks
314.26819 .23949 (314*2π)/5332 weeks
315.11827 -.03942 (315*2π)/5332 weeks
316.10187 -.27834 (316*2π)/5332 weeks
317.14134 -.30861 (317*2π)/5332 weeks
318.14669 -.63242 (318*2π)/5332 weeks
319.33002 -.6854 (319*2π)/5332 weeks
320.67382 -.63015 (320*2π)/5332 weeks
321.68923 -.76561 (321*2π)/5332 weeks
3221.04687 -.61704 (322*2π)/5332 weeks
3231.53403 -.18962 (323*2π)/5332 weeks
3241.28839 .35028 (324*2π)/5332 weeks
325.85123 .62013 (325*2π)/5332 weeks
326.07238 .85649 (326*2π)/5332 weeks
327-.27711 .12368 (327*2π)/5332 weeks
328-.31794 -.28447 (328*2π)/5332 weeks
329-.0231 -.60559 (329*2π)/5332 weeks
330.26993 -1.12647 (330*2π)/5332 weeks
331.85813 -1.0084 (331*2π)/5332 weeks
3321.50566 -.83764 (332*2π)/5332 weeks
3331.64197 .02192 (333*2π)/5332 weeks
3341.34518 .54099 (334*2π)/5332 weeks
335.50132 .64306 (335*2π)/5332 weeks
336.69112 .74233 (336*2π)/5332 weeks
337-.47116 .40354 (337*2π)/5332 weeks
338-.04014 -.43662 (338*2π)/5332 weeks
339.20399 -.11608 (339*2π)/5332 weeks
340.1001 -.66499 (340*2π)/5332 weeks
341.66391 -.81049 (341*2π)/5332 weeks
342.76627 -.49115 (342*2π)/5332 weeks
3431.17317 -.61333 (343*2π)/5332 weeks
3441.32469 .54459 (344*2π)/5332 weeks
345.75553 .67637 (345*2π)/5332 weeks
346.38126 .43675 (346*2π)/5332 weeks
347.02824 .53654 (347*2π)/5332 weeks
348-.22447 .03529 (348*2π)/5332 weeks
349-.03093 .06895 (349*2π)/5332 weeks
350-.31841 -.5373 (350*2π)/5332 weeks
351.30392 -.80825 (351*2π)/5332 weeks
352.62409 -.55232 (352*2π)/5332 weeks
353.85832 -.40254 (353*2π)/5332 weeks
354.8535 -.15126 (354*2π)/5332 weeks
355.48345 .38798 (355*2π)/5332 weeks
356.30454 .16208 (356*2π)/5331 weeks
357.11041 .14801 (357*2π)/5331 weeks
358-.04254 -.11516 (358*2π)/5331 weeks
359-.11858 -.09868 (359*2π)/5331 weeks
360-.452 -.47 (360*2π)/5331 weeks
361.0456 -.96818 (361*2π)/5331 weeks
362.56602 -1.0872 (362*2π)/5331 weeks
363.72188 -.8146 (363*2π)/5331 weeks
364.95306 -.6318 (364*2π)/5331 weeks
365.97815 -.29717 (365*2π)/5331 weeks
3661.12273 -.00568 (366*2π)/5331 weeks
367.82382 .38777 (367*2π)/5331 weeks
368.24136 .53203 (368*2π)/5331 weeks
369.04213 .05268 (369*2π)/5331 weeks
370-.27463 -.28072 (370*2π)/5331 weeks
371.05489 -.74344 (371*2π)/5331 weeks
372.428 -.51955 (372*2π)/5331 weeks
373.24437 -.77886 (373*2π)/5331 weeks
3741.10064 -.42446 (374*2π)/5331 weeks
375.39721 -.30059 (375*2π)/5331 weeks
376.66342 -.46034 (376*2π)/5331 weeks
377.7524 -.26432 (377*2π)/5331 weeks
378.6986 -.13852 (378*2π)/5331 weeks
379.23079 .31252 (379*2π)/5331 weeks
380.16515 -.36484 (380*2π)/5331 weeks
381.444 -.19038 (381*2π)/5331 weeks
382.47192 -.06384 (382*2π)/5331 weeks
383-.08586 -.18142 (383*2π)/5331 weeks
384-.15153 -.67384 (384*2π)/5331 weeks
385.11171 -1.08818 (385*2π)/5331 weeks
3861.06341 -1.11869 (386*2π)/5331 weeks
3871.19459 -.26746 (387*2π)/5331 weeks
388.93802 -.12295 (388*2π)/5331 weeks
389.78049 .4139 (389*2π)/5331 weeks
390.17885 .46668 (390*2π)/5331 weeks
391-.09507 .11008 (391*2π)/5331 weeks
392-.21525 .01381 (392*2π)/5331 weeks
393-.09661 -.7527 (393*2π)/5331 weeks
394-.24343 -.48569 (394*2π)/5331 weeks
395-.3528 -.62705 (395*2π)/5331 weeks
396.05976 -1.17342 (396*2π)/5331 weeks
397.43477 -.96973 (397*2π)/5331 weeks
398.93289 -.98596 (398*2π)/5331 weeks
3991.09855 -.4462 (399*2π)/5331 weeks
400.3902 .00521 (400*2π)/5331 weeks
401.08673 -.2831 (401*2π)/5331 weeks
402.38196 -.30418 (402*2π)/5331 weeks
403.18837 -.33354 (403*2π)/5331 weeks
404-.13546 -.7169 (404*2π)/5331 weeks
405-.10345 -.52852 (405*2π)/5331 weeks
406-.07626 -.74351 (406*2π)/5331 weeks
407-.536 -1.3833 (407*2π)/5331 weeks
408.65351 -1.66723 (408*2π)/5331 weeks
409.75617 -1.27084 (409*2π)/5331 weeks
410.80495 -1.52168 (410*2π)/5331 weeks
4111.11027 -.96432 (411*2π)/5331 weeks
4121.48263 -.76872 (412*2π)/5331 weeks
4131.54175 -.5496 (413*2π)/5331 weeks
4141.22619 .35613 (414*2π)/5331 weeks
415.53061 .23538 (415*2π)/5331 weeks
416-.01059 .0842 (416*2π)/5331 weeks
417.00658 -.14769 (417*2π)/5331 weeks
418-.24991 -.88594 (418*2π)/5331 weeks
419.21751 -.89104 (419*2π)/5331 weeks
420.07732 -1.43529 (420*2π)/5331 weeks
421.70034 -1.31079 (421*2π)/5331 weeks
4221.51245 -1.62807 (422*2π)/5331 weeks
4231.86573 -.29592 (423*2π)/5331 weeks
4241.30128 .08042 (424*2π)/5331 weeks
425.7508 .47436 (425*2π)/5331 weeks
426.0313 .61212 (426*2π)/5331 weeks
427-.15771 .62763 (427*2π)/5331 weeks
428-1.03326 -.74432 (428*2π)/5331 weeks
429-.38684 -1.1101 (429*2π)/5331 weeks
430-.68806 -1.36851 (430*2π)/5331 weeks
431.27898 -2.12527 (431*2π)/5331 weeks
432.96681 -1.86354 (432*2π)/5331 weeks
4331.76849 -1.52473 (433*2π)/5331 weeks
4341.6673 -.72179 (434*2π)/5331 weeks
435.89919 .24315 (435*2π)/5331 weeks
436.54284 .11323 (436*2π)/5331 weeks
437.44214 -.07914 (437*2π)/5331 weeks
438-.07717 -.00634 (438*2π)/5331 weeks
439-.69019 -.96305 (439*2π)/5331 weeks
440-.32718 -1.67705 (440*2π)/5331 weeks
441.55973 -2.09589 (441*2π)/5331 weeks
442.91806 -.94313 (442*2π)/5331 weeks
443.90297 -1.32769 (443*2π)/5331 weeks
4441.07028 -1.28886 (444*2π)/5331 weeks
445.92858 -1.34761 (445*2π)/5331 weeks
4461.7568 -1.34122 (446*2π)/5331 weeks
4471.83673 -.09986 (447*2π)/5331 weeks
4481.24239 .82891 (448*2π)/5331 weeks
449.30354 .87547 (449*2π)/5331 weeks
450-1.10451 .14781 (450*2π)/5331 weeks
451-1.55183 -1.11448 (451*2π)/5331 weeks
452-.58921 -2.2968 (452*2π)/5331 weeks
453-.04031 -2.36673 (453*2π)/5331 weeks
4541.58637 -2.93029 (454*2π)/5331 weeks
4552.42372 -1.42752 (455*2π)/5331 weeks
4562.80694 -1.17943 (456*2π)/5331 weeks
4572.49229 .94993 (457*2π)/5331 weeks
458.33532 2.02669 (458*2π)/5331 weeks
459-.62375 .54684 (459*2π)/5331 weeks
460-1.64247 .08605 (460*2π)/5331 weeks
461-1.34811 -1.54044 (461*2π)/5331 weeks
462-1.01345 -2.46184 (462*2π)/5331 weeks
463-.04589 -2.96246 (463*2π)/5331 weeks
4641.31972 -2.53896 (464*2π)/5331 weeks
4651.94113 -1.99595 (465*2π)/5331 weeks
4661.70025 -1.07646 (466*2π)/5331 weeks
4671.47223 -.92338 (467*2π)/5331 weeks
4681.14503 -.28572 (468*2π)/5331 weeks
469.61343 -.94521 (469*2π)/5331 weeks
470.97642 -.61855 (470*2π)/5331 weeks
471.46395 -.08812 (471*2π)/5331 weeks
472.08091 -1.15707 (472*2π)/5331 weeks
473.06977 -.23914 (473*2π)/5331 weeks
474-.77477 -1.64589 (474*2π)/5331 weeks
475-.22036 -2.04855 (475*2π)/5331 weeks
476.7583 -3.04212 (476*2π)/5331 weeks
4771.76891 -2.16797 (477*2π)/5331 weeks
4782.30432 -2.3676 (478*2π)/5331 weeks
4792.86721 -.0306 (479*2π)/5331 weeks
4801.16711 1.311 (480*2π)/5331 weeks
481-.22041 -.17567 (481*2π)/5331 weeks
482-.22429 -.05643 (482*2π)/5331 weeks
483-1.52142 -1.94886 (483*2π)/5331 weeks
484-.01889 -2.64685 (484*2π)/5331 weeks
4851.0103 -2.31906 (485*2π)/5331 weeks
4861.12262 -1.23233 (486*2π)/5331 weeks
4871.25206 -2.48658 (487*2π)/5331 weeks
4881.39843 -.5064 (488*2π)/5331 weeks
489.53906 -.33434 (489*2π)/5331 weeks
490.51399 -1.53499 (490*2π)/5331 weeks
491-.23004 -.71421 (491*2π)/5331 weeks
492.32322 -2.74411 (492*2π)/5331 weeks
4931.7903 -.79297 (493*2π)/5331 weeks
494.39355 -.55763 (494*2π)/5331 weeks
495-.60803 -.58361 (495*2π)/5331 weeks
496-.45289 -1.94422 (496*2π)/5331 weeks
497-1.05151 -1.63053 (497*2π)/5331 weeks
498-.92162 -2.94646 (498*2π)/5331 weeks
499-1.19613 -4.11527 (499*2π)/5331 weeks
5001.20414 -6.26534 (500*2π)/5331 weeks
5014.57873 -4.32629 (501*2π)/5331 weeks
5025.52956 -.4036 (502*2π)/5331 weeks
5033.50679 .9799 (503*2π)/5331 weeks
504.34191 3.08486 (504*2π)/5331 weeks
505-4.12754 1.02611 (505*2π)/5331 weeks
506-1.90865 -2.12098 (506*2π)/5331 weeks
507-3.12383 -3.64902 (507*2π)/5331 weeks
508-.13026 -7.07044 (508*2π)/5331 weeks
5092.75854 -5.56727 (509*2π)/5331 weeks
5103.74232 -3.06907 (510*2π)/5331 weeks
5112.94512 .82222 (511*2π)/5331 weeks
512.9951 -.18427 (512*2π)/5331 weeks
513-.54109 1.49288 (513*2π)/5331 weeks
514-5.73673 -.17231 (514*2π)/5331 weeks
515-4.69076 -4.283 (515*2π)/5331 weeks
516-5.88746 -5.24239 (516*2π)/5331 weeks
517-1.59071 -11.20143 (517*2π)/5331 weeks
5181.0714 -8.50636 (518*2π)/5331 weeks
519-.02753 -4.74858 (519*2π)/5331 weeks
520-1.00236 -8.13051 (520*2π)/5331 weeks
521-1.00989 -10.25014 (521*2π)/5331 weeks
5223.37812 -11.40372 (522*2π)/5331 weeks
5235.19468 -7.65714 (523*2π)/5331 weeks
5243.48901 -11.25771 (524*2π)/5331 weeks
5258.29918 -4.41492 (525*2π)/5331 weeks
526-.5896 .2453 (526*2π)/5331 weeks
527-6.1976 -1.96867 (527*2π)/5331 weeks
528-13.22962 -18.49773 (528*2π)/5331 weeks
529-10.98314 -22.28136 (529*2π)/5331 weeks
530-10.05025 -47.21943 (530*2π)/5331 weeks
53113.11675 -52.3439 (531*2π)/5331 weeks



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