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Fourier Analysis of UFPIX (Ultrashort Latin America Profund - Investor C)


UFPIX (Ultrashort Latin America Profund - Investor C) appears to have interesting cyclic behaviour every 35 weeks (11.1775*cosine), 37 weeks (10.8062*cosine), and 33 weeks (10.0492*cosine).

UFPIX (Ultrashort Latin America Profund - Investor C) has an average price of 44.26 (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 10/16/2007 to 10/9/2017 for UFPIX (Ultrashort Latin America Profund - Investor C), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
044.26027   0 
144.98142 27.75617 (1*2π)/522522 weeks
216.76319 41.06923 (2*2π)/522261 weeks
3-4.99911 39.84446 (3*2π)/522174 weeks
4-16.14406 28.17108 (4*2π)/522131 weeks
5-17.1878 12.10302 (5*2π)/522104 weeks
6-13.72761 -.66819 (6*2π)/52287 weeks
7-5.9249 -4.84791 (7*2π)/52275 weeks
8.39503 -2.32125 (8*2π)/52265 weeks
92.14948 2.84571 (9*2π)/52258 weeks
103.15991 6.75737 (10*2π)/52252 weeks
11.75393 9.38459 (11*2π)/52247 weeks
12-3.97475 8.89537 (12*2π)/52244 weeks
13-8.59873 8.40061 (13*2π)/52240 weeks
14-10.8062 4.51127 (14*2π)/52237 weeks
15-11.17751 .54525 (15*2π)/52235 weeks
16-10.0492 -2.61088 (16*2π)/52233 weeks
17-7.32029 -6.06478 (17*2π)/52231 weeks
18-4.15267 -6.77211 (18*2π)/52229 weeks
19-1.03738 -7.0189 (19*2π)/52227 weeks
20.61451 -4.89449 (20*2π)/52226 weeks
211.95206 -2.05044 (21*2π)/52225 weeks
221.66479 .36304 (22*2π)/52224 weeks
23-.44405 .88921 (23*2π)/52223 weeks
24-2.61424 -.63853 (24*2π)/52222 weeks
25-4.03225 -3.22235 (25*2π)/52221 weeks
26-2.60344 -4.80257 (26*2π)/52220 weeks
27.01587 -5.49707 (27*2π)/52219 weeks
283.04899 -5.06638 (28*2π)/52219 weeks
294.52899 -3.51978 (29*2π)/52218 weeks
304.84573 -1.31912 (30*2π)/52217 weeks
313.46653 .863 (31*2π)/52217 weeks
321.34414 1.95451 (32*2π)/52216 weeks
33.24369 1.27457 (33*2π)/52216 weeks
34-.31795 .17903 (34*2π)/52215 weeks
35.00861 -1.17908 (35*2π)/52215 weeks
36.41365 -2.05611 (36*2π)/52215 weeks
371.27102 -2.51132 (37*2π)/52214 weeks
382.76941 -2.28185 (38*2π)/52214 weeks
394.01767 -1.20371 (39*2π)/52213 weeks
403.98129 .01112 (40*2π)/52213 weeks
414.02095 1.5517 (41*2π)/52213 weeks
423.27285 2.76892 (42*2π)/52212 weeks
432.08226 3.42391 (43*2π)/52212 weeks
44.48527 3.41415 (44*2π)/52212 weeks
45-.49061 2.65395 (45*2π)/52212 weeks
46-.57719 1.74298 (46*2π)/52211 weeks
47-.38739 .44547 (47*2π)/52211 weeks
48.19494 .31693 (48*2π)/52211 weeks
49.89481 .54723 (49*2π)/52211 weeks
501.66556 1.23129 (50*2π)/52210 weeks
511.74577 2.35436 (51*2π)/52210 weeks
52.78954 3.46984 (52*2π)/52210 weeks
53-.56184 4.06357 (53*2π)/52210 weeks
54-2.37382 3.39814 (54*2π)/52210 weeks
55-3.39519 2.08217 (55*2π)/5229 weeks
56-3.38345 .45815 (56*2π)/5229 weeks
57-2.63565 -.77942 (57*2π)/5229 weeks
58-1.25004 -1.24028 (58*2π)/5229 weeks
59-.53686 -.86306 (59*2π)/5229 weeks
60-.23228 -.46512 (60*2π)/5229 weeks
61-.13177 .26366 (61*2π)/5229 weeks
62-.43078 .70944 (62*2π)/5228 weeks
63-.76068 .78476 (63*2π)/5228 weeks
64-1.57195 .78437 (64*2π)/5228 weeks
65-2.08781 .21425 (65*2π)/5228 weeks
66-2.3946 -.46218 (66*2π)/5228 weeks
67-2.39963 -1.74591 (67*2π)/5228 weeks
68-1.60058 -2.91809 (68*2π)/5228 weeks
69-.17077 -3.13521 (69*2π)/5228 weeks
701.33008 -2.64443 (70*2π)/5227 weeks
712.06083 -1.27756 (71*2π)/5227 weeks
721.96651 -.04357 (72*2π)/5227 weeks
731.41672 .71869 (73*2π)/5227 weeks
74.19329 1.35995 (74*2π)/5227 weeks
75-1.12795 .6996 (75*2π)/5227 weeks
76-1.5506 -.46346 (76*2π)/5227 weeks
77-1.18114 -1.57789 (77*2π)/5227 weeks
78.10293 -2.55832 (78*2π)/5227 weeks
791.31741 -2.21462 (79*2π)/5227 weeks
802.24726 -1.4088 (80*2π)/5227 weeks
812.66937 -.13916 (81*2π)/5226 weeks
822.03097 1.10548 (82*2π)/5226 weeks
831.01499 1.84429 (83*2π)/5226 weeks
84-.04031 1.64666 (84*2π)/5226 weeks
85-.78745 .72967 (85*2π)/5226 weeks
86-.90583 -.35741 (86*2π)/5226 weeks
87-.48908 -1.05622 (87*2π)/5226 weeks
88.39125 -1.25681 (88*2π)/5226 weeks
891.13382 -1.05194 (89*2π)/5226 weeks
901.68635 -.57122 (90*2π)/5226 weeks
912.25328 .21687 (91*2π)/5226 weeks
922.09152 .89079 (92*2π)/5226 weeks
931.26961 1.72853 (93*2π)/5226 weeks
94.36845 2.18288 (94*2π)/5226 weeks
95-.42329 2.00324 (95*2π)/5225 weeks
96-.84693 1.36092 (96*2π)/5225 weeks
97-.94171 .34097 (97*2π)/5225 weeks
98-.72127 -.4667 (98*2π)/5225 weeks
99-.04687 -.66648 (99*2π)/5225 weeks
100.76438 -.28916 (100*2π)/5225 weeks
1011.28693 .49315 (101*2π)/5225 weeks
1021.20665 1.2685 (102*2π)/5225 weeks
103.50846 1.938 (103*2π)/5225 weeks
104-.69038 2.07709 (104*2π)/5225 weeks
105-1.67239 1.69681 (105*2π)/5225 weeks
106-2.09762 .77847 (106*2π)/5225 weeks
107-1.88228 -.25151 (107*2π)/5225 weeks
108-1.32801 -1.09836 (108*2π)/5225 weeks
109-.34345 -1.47635 (109*2π)/5225 weeks
110.29598 -.96752 (110*2π)/5225 weeks
111.64752 -.1755 (111*2π)/5225 weeks
112.56752 .47158 (112*2π)/5225 weeks
113.01734 .85476 (113*2π)/5225 weeks
114-.63716 .74047 (114*2π)/5225 weeks
115-1.10306 .31041 (115*2π)/5225 weeks
116-1.24462 -.35864 (116*2π)/5225 weeks
117-.94075 -.86349 (117*2π)/5224 weeks
118-.38997 -.8947 (118*2π)/5224 weeks
119.05817 -.93604 (119*2π)/5224 weeks
120.26356 -.7569 (120*2π)/5224 weeks
121.2272 -.63907 (121*2π)/5224 weeks
122.31009 -.60396 (122*2π)/5224 weeks
123.45105 -.44921 (123*2π)/5224 weeks
124.52352 -.17187 (124*2π)/5224 weeks
125.57868 -.0141 (125*2π)/5224 weeks
126.53857 .09855 (126*2π)/5224 weeks
127.20308 .25929 (127*2π)/5224 weeks
128-.25465 .31461 (128*2π)/5224 weeks
129-.35245 .01706 (129*2π)/5224 weeks
130-.37524 -.46911 (130*2π)/5224 weeks
131-.05744 -.99063 (131*2π)/5224 weeks
132.56225 -.97028 (132*2π)/5224 weeks
1331.00818 -.56418 (133*2π)/5224 weeks
1341.16513 -.04397 (134*2π)/5224 weeks
135.91953 .46949 (135*2π)/5224 weeks
136.60683 .55321 (136*2π)/5224 weeks
137.36892 .568 (137*2π)/5224 weeks
138.06275 .5201 (138*2π)/5224 weeks
139-.04065 .36394 (139*2π)/5224 weeks
140-.0914 .24077 (140*2π)/5224 weeks
141-.17071 -.082 (141*2π)/5224 weeks
142.04826 -.25689 (142*2π)/5224 weeks
143.32672 -.37968 (143*2π)/5224 weeks
144.74376 -.19714 (144*2π)/5224 weeks
145.92863 .22854 (145*2π)/5224 weeks
146.83505 .62754 (146*2π)/5224 weeks
147.55929 .94066 (147*2π)/5224 weeks
148.09977 1.02505 (148*2π)/5224 weeks
149-.34927 1.01089 (149*2π)/5224 weeks
150-.62037 .72596 (150*2π)/5223 weeks
151-.79599 .10978 (151*2π)/5223 weeks
152-.54092 -.28193 (152*2π)/5223 weeks
153-.21699 -.39242 (153*2π)/5223 weeks
154.15718 -.39558 (154*2π)/5223 weeks
155.53393 -.20934 (155*2π)/5223 weeks
156.79887 .22558 (156*2π)/5223 weeks
157.664 .76174 (157*2π)/5223 weeks
158.21558 1.12147 (158*2π)/5223 weeks
159-.45226 1.1685 (159*2π)/5223 weeks
160-.95407 .80665 (160*2π)/5223 weeks
161-1.15596 .26203 (161*2π)/5223 weeks
162-1.14015 -.38368 (162*2π)/5223 weeks
163-.69951 -.7557 (163*2π)/5223 weeks
164.09053 -.8249 (164*2π)/5223 weeks
165.59031 -.56247 (165*2π)/5223 weeks
166.76776 .0382 (166*2π)/5223 weeks
167.46631 .66113 (167*2π)/5223 weeks
168-.05914 1.04308 (168*2π)/5223 weeks
169-.74487 1.05088 (169*2π)/5223 weeks
170-1.30722 .49465 (170*2π)/5223 weeks
171-1.44417 -.311 (171*2π)/5223 weeks
172-1.18513 -1.03222 (172*2π)/5223 weeks
173-.53895 -1.34998 (173*2π)/5223 weeks
174.16778 -1.19996 (174*2π)/5223 weeks
175.66793 -.86627 (175*2π)/5223 weeks
176.65534 -.30956 (176*2π)/5223 weeks
177.37826 .14729 (177*2π)/5223 weeks
178-.10794 .36338 (178*2π)/5223 weeks
179-.62381 .13307 (179*2π)/5223 weeks
180-.76531 -.49394 (180*2π)/5223 weeks
181-.69119 -1.21569 (181*2π)/5223 weeks
182-.13975 -1.64612 (182*2π)/5223 weeks
183.74834 -1.69846 (183*2π)/5223 weeks
1841.50866 -1.40369 (184*2π)/5223 weeks
1852.04271 -.63736 (185*2π)/5223 weeks
1861.88004 .47923 (186*2π)/5223 weeks
1871.29128 1.16256 (187*2π)/5223 weeks
188.41242 1.34862 (188*2π)/5223 weeks
189-.35303 .94137 (189*2π)/5223 weeks
190-.61774 .19802 (190*2π)/5223 weeks
191-.50306 -.50266 (191*2π)/5223 weeks
192.15335 -1.07161 (192*2π)/5223 weeks
193.98002 -.86305 (193*2π)/5223 weeks
1941.60566 -.38895 (194*2π)/5223 weeks
1951.9386 .39487 (195*2π)/5223 weeks
1961.63125 1.32263 (196*2π)/5223 weeks
197.78996 1.97253 (197*2π)/5223 weeks
198-.24339 2.12273 (198*2π)/5223 weeks
199-1.08412 1.4997 (199*2π)/5223 weeks
200-1.3286 .59326 (200*2π)/5223 weeks
201-1.09193 -.2323 (201*2π)/5223 weeks
202-.50391 -.64507 (202*2π)/5223 weeks
203.28566 -.56041 (203*2π)/5223 weeks
204.59522 -.13118 (204*2π)/5223 weeks
205.64906 .51752 (205*2π)/5223 weeks
206.34064 .94215 (206*2π)/5223 weeks
207-.02039 1.01784 (207*2π)/5223 weeks
208-.45113 .97943 (208*2π)/5223 weeks
209-.91693 .87109 (209*2π)/5222 weeks
210-1.23427 .51852 (210*2π)/5222 weeks
211-1.29055 -.10114 (211*2π)/5222 weeks
212-1.01452 -.59883 (212*2π)/5222 weeks
213-.60419 -.91976 (213*2π)/5222 weeks
214-.02791 -1.02312 (214*2π)/5222 weeks
215.45785 -.71389 (215*2π)/5222 weeks
216.61561 -.07489 (216*2π)/5222 weeks
217.47814 .59178 (217*2π)/5222 weeks
218-.10722 .78585 (218*2π)/5222 weeks
219-.8028 .60955 (219*2π)/5222 weeks
220-1.33588 .12619 (220*2π)/5222 weeks
221-1.44536 -.54305 (221*2π)/5222 weeks
222-1.09822 -1.23988 (222*2π)/5222 weeks
223-.48333 -1.7114 (223*2π)/5222 weeks
224.34053 -1.7579 (224*2π)/5222 weeks
2251.04864 -1.35198 (225*2π)/5222 weeks
2261.41464 -.63835 (226*2π)/5222 weeks
2271.36375 .15671 (227*2π)/5222 weeks
228.76137 .65801 (228*2π)/5222 weeks
229.06245 .69732 (229*2π)/5222 weeks
230-.58896 .402 (230*2π)/5222 weeks
231-.79118 -.35839 (231*2π)/5222 weeks
232-.50494 -1.04084 (232*2π)/5222 weeks
233.05572 -1.50034 (233*2π)/5222 weeks
234.96001 -1.52261 (234*2π)/5222 weeks
2351.86119 -.95261 (235*2π)/5222 weeks
2362.26613 -.07939 (236*2π)/5222 weeks
2372.03811 .97736 (237*2π)/5222 weeks
2381.23269 1.67673 (238*2π)/5222 weeks
239.19406 1.88004 (239*2π)/5222 weeks
240-.73525 1.56646 (240*2π)/5222 weeks
241-1.24002 .7408 (241*2π)/5222 weeks
242-1.11412 -.26764 (242*2π)/5222 weeks
243-.61528 -1.07283 (243*2π)/5222 weeks
244.36361 -1.35403 (244*2π)/5222 weeks
2451.28443 -.833 (245*2π)/5222 weeks
2461.71574 .06557 (246*2π)/5222 weeks
2471.67499 1.13262 (247*2π)/5222 weeks
248.92732 1.98455 (248*2π)/5222 weeks
249-.23616 2.11791 (249*2π)/5222 weeks
250-1.34167 1.43932 (250*2π)/5222 weeks
251-1.81858 .4861 (251*2π)/5222 weeks
252-1.56861 -.50619 (252*2π)/5222 weeks
253-.74219 -1.1438 (253*2π)/5222 weeks
254.37185 -1.37955 (254*2π)/5222 weeks
2551.28164 -.72585 (255*2π)/5222 weeks
2561.47478 .41757 (256*2π)/5222 weeks
257.96573 1.37245 (257*2π)/5222 weeks
258.12334 1.96492 (258*2π)/5222 weeks
259-.93374 1.8196 (259*2π)/5222 weeks
260-1.91947 1.20421 (260*2π)/5222 weeks
261-2.36046   (261*2π)/5222 weeks
262-1.91947 -1.20421 (262*2π)/5222 weeks
263-.93374 -1.8196 (263*2π)/5222 weeks
264.12334 -1.96492 (264*2π)/5222 weeks
265.96573 -1.37245 (265*2π)/5222 weeks
2661.47478 -.41757 (266*2π)/5222 weeks
2671.28164 .72585 (267*2π)/5222 weeks
268.37185 1.37955 (268*2π)/5222 weeks
269-.74219 1.1438 (269*2π)/5222 weeks
270-1.56861 .50619 (270*2π)/5222 weeks
271-1.81858 -.4861 (271*2π)/5222 weeks
272-1.34167 -1.43932 (272*2π)/5222 weeks
273-.23616 -2.11791 (273*2π)/5222 weeks
274.92732 -1.98455 (274*2π)/5222 weeks
2751.67499 -1.13262 (275*2π)/5222 weeks
2761.71574 -.06557 (276*2π)/5222 weeks
2771.28443 .833 (277*2π)/5222 weeks
278.36361 1.35403 (278*2π)/5222 weeks
279-.61528 1.07283 (279*2π)/5222 weeks
280-1.11412 .26764 (280*2π)/5222 weeks
281-1.24002 -.7408 (281*2π)/5222 weeks
282-.73525 -1.56646 (282*2π)/5222 weeks
283.19406 -1.88004 (283*2π)/5222 weeks
2841.23269 -1.67673 (284*2π)/5222 weeks
2852.03811 -.97736 (285*2π)/5222 weeks
2862.26613 .07939 (286*2π)/5222 weeks
2871.86119 .95261 (287*2π)/5222 weeks
288.96001 1.52261 (288*2π)/5222 weeks
289.05572 1.50034 (289*2π)/5222 weeks
290-.50494 1.04084 (290*2π)/5222 weeks
291-.79118 .35839 (291*2π)/5222 weeks
292-.58896 -.402 (292*2π)/5222 weeks
293.06245 -.69732 (293*2π)/5222 weeks
294.76137 -.65801 (294*2π)/5222 weeks
2951.36375 -.15671 (295*2π)/5222 weeks
2961.41464 .63835 (296*2π)/5222 weeks
2971.04864 1.35198 (297*2π)/5222 weeks
298.34053 1.7579 (298*2π)/5222 weeks
299-.48333 1.7114 (299*2π)/5222 weeks
300-1.09822 1.23988 (300*2π)/5222 weeks
301-1.44536 .54305 (301*2π)/5222 weeks
302-1.33588 -.12619 (302*2π)/5222 weeks
303-.8028 -.60955 (303*2π)/5222 weeks
304-.10722 -.78585 (304*2π)/5222 weeks
305.47814 -.59178 (305*2π)/5222 weeks
306.61561 .07489 (306*2π)/5222 weeks
307.45785 .71389 (307*2π)/5222 weeks
308-.02791 1.02312 (308*2π)/5222 weeks
309-.60419 .91976 (309*2π)/5222 weeks
310-1.01452 .59883 (310*2π)/5222 weeks
311-1.29055 .10114 (311*2π)/5222 weeks
312-1.23427 -.51852 (312*2π)/5222 weeks
313-.91693 -.87109 (313*2π)/5222 weeks
314-.45113 -.97943 (314*2π)/5222 weeks
315-.02039 -1.01784 (315*2π)/5222 weeks
316.34064 -.94215 (316*2π)/5222 weeks
317.64906 -.51752 (317*2π)/5222 weeks
318.59522 .13118 (318*2π)/5222 weeks
319.28566 .56041 (319*2π)/5222 weeks
320-.50391 .64507 (320*2π)/5222 weeks
321-1.09193 .2323 (321*2π)/5222 weeks
322-1.3286 -.59326 (322*2π)/5222 weeks
323-1.08412 -1.4997 (323*2π)/5222 weeks
324-.24339 -2.12273 (324*2π)/5222 weeks
325.78996 -1.97253 (325*2π)/5222 weeks
3261.63125 -1.32263 (326*2π)/5222 weeks
3271.9386 -.39487 (327*2π)/5222 weeks
3281.60566 .38895 (328*2π)/5222 weeks
329.98002 .86305 (329*2π)/5222 weeks
330.15335 1.07161 (330*2π)/5222 weeks
331-.50306 .50266 (331*2π)/5222 weeks
332-.61774 -.19802 (332*2π)/5222 weeks
333-.35303 -.94137 (333*2π)/5222 weeks
334.41242 -1.34862 (334*2π)/5222 weeks
3351.29128 -1.16256 (335*2π)/5222 weeks
3361.88004 -.47923 (336*2π)/5222 weeks
3372.04271 .63736 (337*2π)/5222 weeks
3381.50866 1.40369 (338*2π)/5222 weeks
339.74834 1.69846 (339*2π)/5222 weeks
340-.13975 1.64612 (340*2π)/5222 weeks
341-.69119 1.21569 (341*2π)/5222 weeks
342-.76531 .49394 (342*2π)/5222 weeks
343-.62381 -.13307 (343*2π)/5222 weeks
344-.10794 -.36338 (344*2π)/5222 weeks
345.37826 -.14729 (345*2π)/5222 weeks
346.65534 .30956 (346*2π)/5222 weeks
347.66793 .86627 (347*2π)/5222 weeks
348.16778 1.19996 (348*2π)/5222 weeks
349-.53895 1.34998 (349*2π)/5221 weeks
350-1.18513 1.03222 (350*2π)/5221 weeks
351-1.44417 .311 (351*2π)/5221 weeks
352-1.30722 -.49465 (352*2π)/5221 weeks
353-.74487 -1.05088 (353*2π)/5221 weeks
354-.05914 -1.04308 (354*2π)/5221 weeks
355.46631 -.66113 (355*2π)/5221 weeks
356.76776 -.0382 (356*2π)/5221 weeks
357.59031 .56247 (357*2π)/5221 weeks
358.09053 .8249 (358*2π)/5221 weeks
359-.69951 .7557 (359*2π)/5221 weeks
360-1.14015 .38368 (360*2π)/5221 weeks
361-1.15596 -.26203 (361*2π)/5221 weeks
362-.95407 -.80665 (362*2π)/5221 weeks
363-.45226 -1.1685 (363*2π)/5221 weeks
364.21558 -1.12147 (364*2π)/5221 weeks
365.664 -.76174 (365*2π)/5221 weeks
366.79887 -.22558 (366*2π)/5221 weeks
367.53393 .20934 (367*2π)/5221 weeks
368.15718 .39558 (368*2π)/5221 weeks
369-.21699 .39242 (369*2π)/5221 weeks
370-.54092 .28193 (370*2π)/5221 weeks
371-.79599 -.10978 (371*2π)/5221 weeks
372-.62037 -.72596 (372*2π)/5221 weeks
373-.34927 -1.01089 (373*2π)/5221 weeks
374.09977 -1.02505 (374*2π)/5221 weeks
375.55929 -.94066 (375*2π)/5221 weeks
376.83505 -.62754 (376*2π)/5221 weeks
377.92863 -.22854 (377*2π)/5221 weeks
378.74376 .19714 (378*2π)/5221 weeks
379.32672 .37968 (379*2π)/5221 weeks
380.04826 .25689 (380*2π)/5221 weeks
381-.17071 .082 (381*2π)/5221 weeks
382-.0914 -.24077 (382*2π)/5221 weeks
383-.04065 -.36394 (383*2π)/5221 weeks
384.06275 -.5201 (384*2π)/5221 weeks
385.36892 -.568 (385*2π)/5221 weeks
386.60683 -.55321 (386*2π)/5221 weeks
387.91953 -.46949 (387*2π)/5221 weeks
3881.16513 .04397 (388*2π)/5221 weeks
3891.00818 .56418 (389*2π)/5221 weeks
390.56225 .97028 (390*2π)/5221 weeks
391-.05744 .99063 (391*2π)/5221 weeks
392-.37524 .46911 (392*2π)/5221 weeks
393-.35245 -.01706 (393*2π)/5221 weeks
394-.25465 -.31461 (394*2π)/5221 weeks
395.20308 -.25929 (395*2π)/5221 weeks
396.53857 -.09855 (396*2π)/5221 weeks
397.57868 .0141 (397*2π)/5221 weeks
398.52352 .17187 (398*2π)/5221 weeks
399.45105 .44921 (399*2π)/5221 weeks
400.31009 .60396 (400*2π)/5221 weeks
401.2272 .63907 (401*2π)/5221 weeks
402.26356 .7569 (402*2π)/5221 weeks
403.05817 .93604 (403*2π)/5221 weeks
404-.38997 .8947 (404*2π)/5221 weeks
405-.94075 .86349 (405*2π)/5221 weeks
406-1.24462 .35864 (406*2π)/5221 weeks
407-1.10306 -.31041 (407*2π)/5221 weeks
408-.63716 -.74047 (408*2π)/5221 weeks
409.01734 -.85476 (409*2π)/5221 weeks
410.56752 -.47158 (410*2π)/5221 weeks
411.64752 .1755 (411*2π)/5221 weeks
412.29598 .96752 (412*2π)/5221 weeks
413-.34345 1.47635 (413*2π)/5221 weeks
414-1.32801 1.09836 (414*2π)/5221 weeks
415-1.88228 .25151 (415*2π)/5221 weeks
416-2.09762 -.77847 (416*2π)/5221 weeks
417-1.67239 -1.69681 (417*2π)/5221 weeks
418-.69038 -2.07709 (418*2π)/5221 weeks
419.50846 -1.938 (419*2π)/5221 weeks
4201.20665 -1.2685 (420*2π)/5221 weeks
4211.28693 -.49315 (421*2π)/5221 weeks
422.76438 .28916 (422*2π)/5221 weeks
423-.04687 .66648 (423*2π)/5221 weeks
424-.72127 .4667 (424*2π)/5221 weeks
425-.94171 -.34097 (425*2π)/5221 weeks
426-.84693 -1.36092 (426*2π)/5221 weeks
427-.42329 -2.00324 (427*2π)/5221 weeks
428.36845 -2.18288 (428*2π)/5221 weeks
4291.26961 -1.72853 (429*2π)/5221 weeks
4302.09152 -.89079 (430*2π)/5221 weeks
4312.25328 -.21687 (431*2π)/5221 weeks
4321.68635 .57122 (432*2π)/5221 weeks
4331.13382 1.05194 (433*2π)/5221 weeks
434.39125 1.25681 (434*2π)/5221 weeks
435-.48908 1.05622 (435*2π)/5221 weeks
436-.90583 .35741 (436*2π)/5221 weeks
437-.78745 -.72967 (437*2π)/5221 weeks
438-.04031 -1.64666 (438*2π)/5221 weeks
4391.01499 -1.84429 (439*2π)/5221 weeks
4402.03097 -1.10548 (440*2π)/5221 weeks
4412.66937 .13916 (441*2π)/5221 weeks
4422.24726 1.4088 (442*2π)/5221 weeks
4431.31741 2.21462 (443*2π)/5221 weeks
444.10293 2.55832 (444*2π)/5221 weeks
445-1.18114 1.57789 (445*2π)/5221 weeks
446-1.5506 .46346 (446*2π)/5221 weeks
447-1.12795 -.6996 (447*2π)/5221 weeks
448.19329 -1.35995 (448*2π)/5221 weeks
4491.41672 -.71869 (449*2π)/5221 weeks
4501.96651 .04357 (450*2π)/5221 weeks
4512.06083 1.27756 (451*2π)/5221 weeks
4521.33008 2.64443 (452*2π)/5221 weeks
453-.17077 3.13521 (453*2π)/5221 weeks
454-1.60058 2.91809 (454*2π)/5221 weeks
455-2.39963 1.74591 (455*2π)/5221 weeks
456-2.3946 .46218 (456*2π)/5221 weeks
457-2.08781 -.21425 (457*2π)/5221 weeks
458-1.57195 -.78437 (458*2π)/5221 weeks
459-.76068 -.78476 (459*2π)/5221 weeks
460-.43078 -.70944 (460*2π)/5221 weeks
461-.13177 -.26366 (461*2π)/5221 weeks
462-.23228 .46512 (462*2π)/5221 weeks
463-.53686 .86306 (463*2π)/5221 weeks
464-1.25004 1.24028 (464*2π)/5221 weeks
465-2.63565 .77942 (465*2π)/5221 weeks
466-3.38345 -.45815 (466*2π)/5221 weeks
467-3.39519 -2.08217 (467*2π)/5221 weeks
468-2.37382 -3.39814 (468*2π)/5221 weeks
469-.56184 -4.06357 (469*2π)/5221 weeks
470.78954 -3.46984 (470*2π)/5221 weeks
4711.74577 -2.35436 (471*2π)/5221 weeks
4721.66556 -1.23129 (472*2π)/5221 weeks
473.89481 -.54723 (473*2π)/5221 weeks
474.19494 -.31693 (474*2π)/5221 weeks
475-.38739 -.44547 (475*2π)/5221 weeks
476-.57719 -1.74298 (476*2π)/5221 weeks
477-.49061 -2.65395 (477*2π)/5221 weeks
478.48527 -3.41415 (478*2π)/5221 weeks
4792.08226 -3.42391 (479*2π)/5221 weeks
4803.27285 -2.76892 (480*2π)/5221 weeks
4814.02095 -1.5517 (481*2π)/5221 weeks
4823.98129 -.01112 (482*2π)/5221 weeks
4834.01767 1.20371 (483*2π)/5221 weeks
4842.76941 2.28185 (484*2π)/5221 weeks
4851.27102 2.51132 (485*2π)/5221 weeks
486.41365 2.05611 (486*2π)/5221 weeks
487.00861 1.17908 (487*2π)/5221 weeks
488-.31795 -.17903 (488*2π)/5221 weeks
489.24369 -1.27457 (489*2π)/5221 weeks
4901.34414 -1.95451 (490*2π)/5221 weeks
4913.46653 -.863 (491*2π)/5221 weeks
4924.84573 1.31912 (492*2π)/5221 weeks
4934.52899 3.51978 (493*2π)/5221 weeks
4943.04899 5.06638 (494*2π)/5221 weeks
495.01587 5.49707 (495*2π)/5221 weeks
496-2.60344 4.80257 (496*2π)/5221 weeks
497-4.03225 3.22235 (497*2π)/5221 weeks
498-2.61424 .63853 (498*2π)/5221 weeks
499-.44405 -.88921 (499*2π)/5221 weeks
5001.66479 -.36304 (500*2π)/5221 weeks
5011.95206 2.05044 (501*2π)/5221 weeks
502.61451 4.89449 (502*2π)/5221 weeks
503-1.03738 7.0189 (503*2π)/5221 weeks
504-4.15267 6.77211 (504*2π)/5221 weeks
505-7.32029 6.06478 (505*2π)/5221 weeks
506-10.0492 2.61088 (506*2π)/5221 weeks
507-11.17751 -.54525 (507*2π)/5221 weeks
508-10.8062 -4.51127 (508*2π)/5221 weeks
509-8.59873 -8.40061 (509*2π)/5221 weeks
510-3.97475 -8.89537 (510*2π)/5221 weeks
511.75393 -9.38459 (511*2π)/5221 weeks
5123.15991 -6.75737 (512*2π)/5221 weeks
5132.14948 -2.84571 (513*2π)/5221 weeks
514.39503 2.32125 (514*2π)/5221 weeks
515-5.9249 4.84791 (515*2π)/5221 weeks
516-13.72761 .66819 (516*2π)/5221 weeks
517-17.1878 -12.10302 (517*2π)/5221 weeks
518-16.14406 -28.17108 (518*2π)/5221 weeks
519-4.99911 -39.84446 (519*2π)/5221 weeks
52016.76319 -41.06923 (520*2π)/5221 weeks



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