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Fourier Analysis of UFPIX (ULTRASHORT LATIN AMERICA PROFUND ULTRASHORT LATIN AMERICA PROFUND INVESTOR CLASS)


UFPIX (ULTRASHORT LATIN AMERICA PROFUND ULTRASHORT LATIN AMERICA PROFUND INVESTOR CLASS) appears to have interesting cyclic behaviour every 36 weeks (10.7303*cosine), 33 weeks (9.9602*cosine), and 31 weeks (8.7116*cosine).

UFPIX (ULTRASHORT LATIN AMERICA PROFUND ULTRASHORT LATIN AMERICA PROFUND INVESTOR CLASS) has an average price of 43.36 (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 1/8/2018 for UFPIX (ULTRASHORT LATIN AMERICA PROFUND ULTRASHORT LATIN AMERICA PROFUND INVESTOR CLASS), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
043.35978   0 
143.77554 26.61149 (1*2π)/535535 weeks
217.03287 40.73421 (2*2π)/535268 weeks
3-3.09059 40.4617 (3*2π)/535178 weeks
4-13.8846 28.85267 (4*2π)/535134 weeks
5-16.70627 12.39731 (5*2π)/535107 weeks
6-15.19506 .35075 (6*2π)/53589 weeks
7-7.7297 -4.10643 (7*2π)/53576 weeks
8-.56947 -2.29299 (8*2π)/53567 weeks
92.8187 2.4256 (9*2π)/53559 weeks
103.87193 4.93457 (10*2π)/53554 weeks
111.28464 7.78305 (11*2π)/53549 weeks
12-3.64579 9.26879 (12*2π)/53545 weeks
13-6.68227 9.4759 (13*2π)/53541 weeks
14-9.80193 5.81231 (14*2π)/53538 weeks
15-10.73028 1.9779 (15*2π)/53536 weeks
16-9.96021 -1.6011 (16*2π)/53533 weeks
17-8.71157 -4.9875 (17*2π)/53531 weeks
18-5.32311 -6.46261 (18*2π)/53530 weeks
19-2.71977 -6.76456 (19*2π)/53528 weeks
20.56118 -5.34699 (20*2π)/53527 weeks
212.17901 -4.07204 (21*2π)/53525 weeks
221.87653 -1.78783 (22*2π)/53524 weeks
23-.02012 .47531 (23*2π)/53523 weeks
24-2.16386 .87803 (24*2π)/53522 weeks
25-3.18504 -.5701 (25*2π)/53521 weeks
26-2.78206 -3.88271 (26*2π)/53521 weeks
27-1.50019 -5.6663 (27*2π)/53520 weeks
28.54495 -5.88049 (28*2π)/53519 weeks
293.06602 -4.36253 (29*2π)/53518 weeks
304.54494 -2.54599 (30*2π)/53518 weeks
314.78796 -.4541 (31*2π)/53517 weeks
323.2729 1.05633 (32*2π)/53517 weeks
33.91821 1.52283 (33*2π)/53516 weeks
34-.11203 .99917 (34*2π)/53516 weeks
35-.53209 .03573 (35*2π)/53515 weeks
36.01676 -1.09748 (36*2π)/53515 weeks
37.52948 -2.00559 (37*2π)/53514 weeks
381.35615 -2.47857 (38*2π)/53514 weeks
392.75979 -2.18627 (39*2π)/53514 weeks
403.93151 -1.11483 (40*2π)/53513 weeks
413.87381 .02126 (41*2π)/53513 weeks
423.92589 1.5023 (42*2π)/53513 weeks
433.2398 2.66903 (43*2π)/53512 weeks
442.11208 3.31342 (44*2π)/53512 weeks
45.60157 3.41448 (45*2π)/53512 weeks
46-.35446 2.7178 (46*2π)/53512 weeks
47-.5233 1.71734 (47*2π)/53511 weeks
48-.65444 .56981 (48*2π)/53511 weeks
49.04817 .44928 (49*2π)/53511 weeks
50.81249 .53955 (50*2π)/53511 weeks
511.56234 .92617 (51*2π)/53510 weeks
521.73443 1.92493 (52*2π)/53510 weeks
531.10133 3.16743 (53*2π)/53510 weeks
54-.04289 3.79225 (54*2π)/53510 weeks
55-1.86295 3.70272 (55*2π)/53510 weeks
56-2.99201 2.59519 (56*2π)/53510 weeks
57-3.39458 .98435 (57*2π)/5359 weeks
58-2.95159 -.36697 (58*2π)/5359 weeks
59-1.90553 -1.24636 (59*2π)/5359 weeks
60-.86173 -.95443 (60*2π)/5359 weeks
61-.36096 -.51435 (61*2π)/5359 weeks
62.02256 -.09993 (62*2π)/5359 weeks
63-.20412 .40024 (63*2π)/5358 weeks
64-.68947 .66415 (64*2π)/5358 weeks
65-1.06979 .92589 (65*2π)/5358 weeks
66-1.79274 .5831 (66*2π)/5358 weeks
67-2.18096 -.01552 (67*2π)/5358 weeks
68-2.51643 -.7557 (68*2π)/5358 weeks
69-2.14618 -1.96184 (69*2π)/5358 weeks
70-1.01121 -2.9925 (70*2π)/5358 weeks
71.27932 -3.07987 (71*2π)/5358 weeks
721.59993 -2.33348 (72*2π)/5357 weeks
732.00558 -1.0018 (73*2π)/5357 weeks
741.75428 .16224 (74*2π)/5357 weeks
751.25217 .90046 (75*2π)/5357 weeks
76-.03348 1.33198 (76*2π)/5357 weeks
77-1.17978 .54429 (77*2π)/5357 weeks
78-1.50955 -.59027 (78*2π)/5357 weeks
79-1.12331 -1.62223 (79*2π)/5357 weeks
80.19472 -2.47938 (80*2π)/5357 weeks
811.32116 -2.13796 (81*2π)/5357 weeks
822.19653 -1.35826 (82*2π)/5357 weeks
832.60268 -.1484 (83*2π)/5356 weeks
842.0178 1.06754 (84*2π)/5356 weeks
851.10418 1.79626 (85*2π)/5356 weeks
86.07688 1.6164 (86*2π)/5356 weeks
87-.75074 .78478 (87*2π)/5356 weeks
88-.98749 -.19946 (88*2π)/5356 weeks
89-.59823 -.85144 (89*2π)/5356 weeks
90.26854 -1.18119 (90*2π)/5356 weeks
911.01363 -1.06986 (91*2π)/5356 weeks
921.60188 -.6824 (92*2π)/5356 weeks
932.13062 -.16559 (93*2π)/5356 weeks
941.9169 .67644 (94*2π)/5356 weeks
951.51947 1.7274 (95*2π)/5356 weeks
96.89599 2.13689 (96*2π)/5356 weeks
97.03893 1.93896 (97*2π)/5356 weeks
98-.70608 1.32483 (98*2π)/5355 weeks
99-1.2182 .62276 (99*2π)/5355 weeks
100-1.04307 .05636 (100*2π)/5355 weeks
101-.26829 -.4307 (101*2π)/5355 weeks
102.56491 -.53585 (102*2π)/5355 weeks
1031.11066 -.0925 (103*2π)/5355 weeks
1041.14865 .77454 (104*2π)/5355 weeks
105.83365 1.65984 (105*2π)/5355 weeks
106.0578 2.21263 (106*2π)/5355 weeks
107-.90287 1.95788 (107*2π)/5355 weeks
108-1.78855 1.21732 (108*2π)/5355 weeks
109-2.11584 .27804 (109*2π)/5355 weeks
110-1.81313 -.50767 (110*2π)/5355 weeks
111-1.08398 -1.15614 (111*2π)/5355 weeks
112.01389 -1.25292 (112*2π)/5355 weeks
113.52032 -.84809 (113*2π)/5355 weeks
114.61783 -.09693 (114*2π)/5355 weeks
115.42836 .56185 (115*2π)/5355 weeks
116-.12813 .86856 (116*2π)/5355 weeks
117-.70297 .69439 (117*2π)/5355 weeks
118-1.10246 .23796 (118*2π)/5355 weeks
119-1.17533 -.42798 (119*2π)/5354 weeks
120-.87365 -.89832 (120*2π)/5354 weeks
121-.38519 -.87735 (121*2π)/5354 weeks
122.06374 -.89528 (122*2π)/5354 weeks
123.25938 -.73237 (123*2π)/5354 weeks
124.21745 -.62239 (124*2π)/5354 weeks
125.29095 -.58333 (125*2π)/5354 weeks
126.43485 -.43268 (126*2π)/5354 weeks
127.53864 -.1772 (127*2π)/5354 weeks
128.5844 -.06372 (128*2π)/5354 weeks
129.50147 .03552 (129*2π)/5354 weeks
130.20384 .27512 (130*2π)/5354 weeks
131-.13087 .40188 (131*2π)/5354 weeks
132-.276 .03978 (132*2π)/5354 weeks
133-.41089 -.38437 (133*2π)/5354 weeks
134-.24398 -.84367 (134*2π)/5354 weeks
135.38891 -.95141 (135*2π)/5354 weeks
136.91622 -.67092 (136*2π)/5354 weeks
1371.14243 -.22161 (137*2π)/5354 weeks
1381.05995 .30526 (138*2π)/5354 weeks
139.67185 .49627 (139*2π)/5354 weeks
140.42126 .55657 (140*2π)/5354 weeks
141.19713 .59402 (141*2π)/5354 weeks
142.02011 .40663 (142*2π)/5354 weeks
143-.06228 .2587 (143*2π)/5354 weeks
144-.19299 .12824 (144*2π)/5354 weeks
145-.04678 -.17841 (145*2π)/5354 weeks
146.15734 -.30898 (146*2π)/5354 weeks
147.52309 -.35993 (147*2π)/5354 weeks
148.83035 -.06524 (148*2π)/5354 weeks
149.86919 .37122 (149*2π)/5354 weeks
150.71477 .74365 (150*2π)/5354 weeks
151.39828 1.02113 (151*2π)/5354 weeks
152.02291 1.01424 (152*2π)/5354 weeks
153-.44941 .87074 (153*2π)/5353 weeks
154-.73081 .62453 (154*2π)/5353 weeks
155-.70643 .02139 (155*2π)/5353 weeks
156-.41987 -.32085 (156*2π)/5353 weeks
157-.1394 -.42145 (157*2π)/5353 weeks
158.20612 -.38803 (158*2π)/5353 weeks
159.55234 -.16764 (159*2π)/5353 weeks
160.77607 .29091 (160*2π)/5353 weeks
161.62022 .79369 (161*2π)/5353 weeks
162.18176 1.11531 (162*2π)/5353 weeks
163-.46047 1.13188 (163*2π)/5353 weeks
164-.9329 .78048 (164*2π)/5353 weeks
165-1.12424 .26086 (165*2π)/5353 weeks
166-1.1226 -.34746 (166*2π)/5353 weeks
167-.69451 -.7077 (167*2π)/5353 weeks
168.0573 -.84638 (168*2π)/5353 weeks
169.51517 -.62063 (169*2π)/5353 weeks
170.72249 -.04582 (170*2π)/5353 weeks
171.51532 .60084 (171*2π)/5353 weeks
172.0827 .99078 (172*2π)/5353 weeks
173-.5431 1.04103 (173*2π)/5353 weeks
174-1.18753 .58801 (174*2π)/5353 weeks
175-1.46867 -.13087 (175*2π)/5353 weeks
176-1.31489 -.79187 (176*2π)/5353 weeks
177-.70508 -1.2307 (177*2π)/5353 weeks
178.00607 -1.29276 (178*2π)/5353 weeks
179.44535 -1.04117 (179*2π)/5353 weeks
180.64687 -.42259 (180*2π)/5353 weeks
181.54755 .04366 (181*2π)/5353 weeks
182.18646 .30366 (182*2π)/5353 weeks
183-.36466 .22502 (183*2π)/5353 weeks
184-.80067 -.2581 (184*2π)/5353 weeks
185-.84306 -.75261 (185*2π)/5353 weeks
186-.39466 -1.37297 (186*2π)/5353 weeks
187.27062 -1.74678 (187*2π)/5353 weeks
1881.00436 -1.5677 (188*2π)/5353 weeks
1891.7203 -1.05696 (189*2π)/5353 weeks
1902.1162 -.15801 (190*2π)/5353 weeks
1911.69179 .69259 (191*2π)/5353 weeks
192.97543 1.23091 (192*2π)/5353 weeks
193.11878 1.23895 (193*2π)/5353 weeks
194-.49943 .72675 (194*2π)/5353 weeks
195-.6033 .03835 (195*2π)/5353 weeks
196-.38263 -.64315 (196*2π)/5353 weeks
197.3731 -1.07787 (197*2π)/5353 weeks
1981.05855 -.79949 (198*2π)/5353 weeks
1991.61744 -.26122 (199*2π)/5353 weeks
2001.89477 .54934 (200*2π)/5353 weeks
2011.54741 1.3945 (201*2π)/5353 weeks
202.70017 1.94184 (202*2π)/5353 weeks
203-.31514 2.04237 (203*2π)/5353 weeks
204-1.08509 1.42953 (204*2π)/5353 weeks
205-1.29466 .56639 (205*2π)/5353 weeks
206-1.0665 -.22252 (206*2π)/5353 weeks
207-.51053 -.6194 (207*2π)/5353 weeks
208.24671 -.57153 (208*2π)/5353 weeks
209.55502 -.15156 (209*2π)/5353 weeks
210.67157 .45918 (210*2π)/5353 weeks
211.41038 .8729 (211*2π)/5353 weeks
212.02591 .95402 (212*2π)/5353 weeks
213-.40048 .9757 (213*2π)/5353 weeks
214-.79186 .93095 (214*2π)/5353 weeks
215-1.09869 .59586 (215*2π)/5352 weeks
216-1.27248 .0144 (216*2π)/5352 weeks
217-1.09341 -.51022 (217*2π)/5352 weeks
218-.75636 -.84295 (218*2π)/5352 weeks
219-.27313 -1.00666 (219*2π)/5352 weeks
220.27424 -.78359 (220*2π)/5352 weeks
221.64696 -.26261 (221*2π)/5352 weeks
222.63164 .24952 (222*2π)/5352 weeks
223.04772 .69284 (223*2π)/5352 weeks
224-.57305 .80187 (224*2π)/5352 weeks
225-1.06481 .49474 (225*2π)/5352 weeks
226-1.31633 -.17318 (226*2π)/5352 weeks
227-1.26114 -.91686 (227*2π)/5352 weeks
228-.82262 -1.45876 (228*2π)/5352 weeks
229-.10848 -1.75815 (229*2π)/5352 weeks
230.65731 -1.61377 (230*2π)/5352 weeks
2311.21759 -1.09291 (231*2π)/5352 weeks
2321.39755 -.37129 (232*2π)/5352 weeks
2331.14218 .39906 (233*2π)/5352 weeks
234.53295 .73149 (234*2π)/5352 weeks
235-.08461 .64837 (235*2π)/5352 weeks
236-.6804 .19438 (236*2π)/5352 weeks
237-.73567 -.52915 (237*2π)/5352 weeks
238-.37386 -1.1287 (238*2π)/5352 weeks
239.22925 -1.54981 (239*2π)/5352 weeks
2401.07416 -1.47937 (240*2π)/5352 weeks
2411.85687 -.80975 (241*2π)/5352 weeks
2422.21621 .07172 (242*2π)/5352 weeks
2431.94177 1.05601 (243*2π)/5352 weeks
2441.15303 1.66836 (244*2π)/5352 weeks
245.15094 1.8192 (245*2π)/5352 weeks
246-.73667 1.50828 (246*2π)/5352 weeks
247-1.20745 .72241 (247*2π)/5352 weeks
248-1.09452 -.24962 (248*2π)/5352 weeks
249-.65072 -1.02162 (249*2π)/5352 weeks
250.26169 -1.3201 (250*2π)/5352 weeks
2511.18514 -.86888 (251*2π)/5352 weeks
2521.66472 -.03734 (252*2π)/5352 weeks
2531.71665 .93527 (253*2π)/5352 weeks
2541.08438 1.78676 (254*2π)/5352 weeks
255-.04583 2.05235 (255*2π)/5352 weeks
256-1.20552 1.6413 (256*2π)/5352 weeks
257-1.70517 .81178 (257*2π)/5352 weeks
258-1.58008 -.22074 (258*2π)/5352 weeks
259-.91954 -1.04305 (259*2π)/5352 weeks
260-.06076 -1.43093 (260*2π)/5352 weeks
261.94703 -.97898 (261*2π)/5352 weeks
2621.46975 .04546 (262*2π)/5352 weeks
2631.2436 1.05156 (263*2π)/5352 weeks
264.56856 1.67111 (264*2π)/5352 weeks
265-.52948 1.86184 (265*2π)/5352 weeks
266-1.46918 1.55449 (266*2π)/5352 weeks
267-2.19334 .62529 (267*2π)/5352 weeks
268-2.19334 -.62529 (268*2π)/5352 weeks
269-1.46918 -1.55449 (269*2π)/5352 weeks
270-.52948 -1.86184 (270*2π)/5352 weeks
271.56856 -1.67111 (271*2π)/5352 weeks
2721.2436 -1.05156 (272*2π)/5352 weeks
2731.46975 -.04546 (273*2π)/5352 weeks
274.94703 .97898 (274*2π)/5352 weeks
275-.06076 1.43093 (275*2π)/5352 weeks
276-.91954 1.04305 (276*2π)/5352 weeks
277-1.58008 .22074 (277*2π)/5352 weeks
278-1.70517 -.81178 (278*2π)/5352 weeks
279-1.20552 -1.6413 (279*2π)/5352 weeks
280-.04583 -2.05235 (280*2π)/5352 weeks
2811.08438 -1.78676 (281*2π)/5352 weeks
2821.71665 -.93527 (282*2π)/5352 weeks
2831.66472 .03734 (283*2π)/5352 weeks
2841.18514 .86888 (284*2π)/5352 weeks
285.26169 1.3201 (285*2π)/5352 weeks
286-.65072 1.02162 (286*2π)/5352 weeks
287-1.09452 .24962 (287*2π)/5352 weeks
288-1.20745 -.72241 (288*2π)/5352 weeks
289-.73667 -1.50828 (289*2π)/5352 weeks
290.15094 -1.8192 (290*2π)/5352 weeks
2911.15303 -1.66836 (291*2π)/5352 weeks
2921.94177 -1.05601 (292*2π)/5352 weeks
2932.21621 -.07172 (293*2π)/5352 weeks
2941.85687 .80975 (294*2π)/5352 weeks
2951.07416 1.47937 (295*2π)/5352 weeks
296.22925 1.54981 (296*2π)/5352 weeks
297-.37386 1.1287 (297*2π)/5352 weeks
298-.73567 .52915 (298*2π)/5352 weeks
299-.6804 -.19438 (299*2π)/5352 weeks
300-.08461 -.64837 (300*2π)/5352 weeks
301.53295 -.73149 (301*2π)/5352 weeks
3021.14218 -.39906 (302*2π)/5352 weeks
3031.39755 .37129 (303*2π)/5352 weeks
3041.21759 1.09291 (304*2π)/5352 weeks
305.65731 1.61377 (305*2π)/5352 weeks
306-.10848 1.75815 (306*2π)/5352 weeks
307-.82262 1.45876 (307*2π)/5352 weeks
308-1.26114 .91686 (308*2π)/5352 weeks
309-1.31633 .17318 (309*2π)/5352 weeks
310-1.06481 -.49474 (310*2π)/5352 weeks
311-.57305 -.80187 (311*2π)/5352 weeks
312.04772 -.69284 (312*2π)/5352 weeks
313.63164 -.24952 (313*2π)/5352 weeks
314.64696 .26261 (314*2π)/5352 weeks
315.27424 .78359 (315*2π)/5352 weeks
316-.27313 1.00666 (316*2π)/5352 weeks
317-.75636 .84295 (317*2π)/5352 weeks
318-1.09341 .51022 (318*2π)/5352 weeks
319-1.27248 -.0144 (319*2π)/5352 weeks
320-1.09869 -.59586 (320*2π)/5352 weeks
321-.79186 -.93095 (321*2π)/5352 weeks
322-.40048 -.9757 (322*2π)/5352 weeks
323.02591 -.95402 (323*2π)/5352 weeks
324.41038 -.8729 (324*2π)/5352 weeks
325.67157 -.45918 (325*2π)/5352 weeks
326.55502 .15156 (326*2π)/5352 weeks
327.24671 .57153 (327*2π)/5352 weeks
328-.51053 .6194 (328*2π)/5352 weeks
329-1.0665 .22252 (329*2π)/5352 weeks
330-1.29466 -.56639 (330*2π)/5352 weeks
331-1.08509 -1.42953 (331*2π)/5352 weeks
332-.31514 -2.04237 (332*2π)/5352 weeks
333.70017 -1.94184 (333*2π)/5352 weeks
3341.54741 -1.3945 (334*2π)/5352 weeks
3351.89477 -.54934 (335*2π)/5352 weeks
3361.61744 .26122 (336*2π)/5352 weeks
3371.05855 .79949 (337*2π)/5352 weeks
338.3731 1.07787 (338*2π)/5352 weeks
339-.38263 .64315 (339*2π)/5352 weeks
340-.6033 -.03835 (340*2π)/5352 weeks
341-.49943 -.72675 (341*2π)/5352 weeks
342.11878 -1.23895 (342*2π)/5352 weeks
343.97543 -1.23091 (343*2π)/5352 weeks
3441.69179 -.69259 (344*2π)/5352 weeks
3452.1162 .15801 (345*2π)/5352 weeks
3461.7203 1.05696 (346*2π)/5352 weeks
3471.00436 1.5677 (347*2π)/5352 weeks
348.27062 1.74678 (348*2π)/5352 weeks
349-.39466 1.37297 (349*2π)/5352 weeks
350-.84306 .75261 (350*2π)/5352 weeks
351-.80067 .2581 (351*2π)/5352 weeks
352-.36466 -.22502 (352*2π)/5352 weeks
353.18646 -.30366 (353*2π)/5352 weeks
354.54755 -.04366 (354*2π)/5352 weeks
355.64687 .42259 (355*2π)/5352 weeks
356.44535 1.04117 (356*2π)/5352 weeks
357.00607 1.29276 (357*2π)/5351 weeks
358-.70508 1.2307 (358*2π)/5351 weeks
359-1.31489 .79187 (359*2π)/5351 weeks
360-1.46867 .13087 (360*2π)/5351 weeks
361-1.18753 -.58801 (361*2π)/5351 weeks
362-.5431 -1.04103 (362*2π)/5351 weeks
363.0827 -.99078 (363*2π)/5351 weeks
364.51532 -.60084 (364*2π)/5351 weeks
365.72249 .04582 (365*2π)/5351 weeks
366.51517 .62063 (366*2π)/5351 weeks
367.0573 .84638 (367*2π)/5351 weeks
368-.69451 .7077 (368*2π)/5351 weeks
369-1.1226 .34746 (369*2π)/5351 weeks
370-1.12424 -.26086 (370*2π)/5351 weeks
371-.9329 -.78048 (371*2π)/5351 weeks
372-.46047 -1.13188 (372*2π)/5351 weeks
373.18176 -1.11531 (373*2π)/5351 weeks
374.62022 -.79369 (374*2π)/5351 weeks
375.77607 -.29091 (375*2π)/5351 weeks
376.55234 .16764 (376*2π)/5351 weeks
377.20612 .38803 (377*2π)/5351 weeks
378-.1394 .42145 (378*2π)/5351 weeks
379-.41987 .32085 (379*2π)/5351 weeks
380-.70643 -.02139 (380*2π)/5351 weeks
381-.73081 -.62453 (381*2π)/5351 weeks
382-.44941 -.87074 (382*2π)/5351 weeks
383.02291 -1.01424 (383*2π)/5351 weeks
384.39828 -1.02113 (384*2π)/5351 weeks
385.71477 -.74365 (385*2π)/5351 weeks
386.86919 -.37122 (386*2π)/5351 weeks
387.83035 .06524 (387*2π)/5351 weeks
388.52309 .35993 (388*2π)/5351 weeks
389.15734 .30898 (389*2π)/5351 weeks
390-.04678 .17841 (390*2π)/5351 weeks
391-.19299 -.12824 (391*2π)/5351 weeks
392-.06228 -.2587 (392*2π)/5351 weeks
393.02011 -.40663 (393*2π)/5351 weeks
394.19713 -.59402 (394*2π)/5351 weeks
395.42126 -.55657 (395*2π)/5351 weeks
396.67185 -.49627 (396*2π)/5351 weeks
3971.05995 -.30526 (397*2π)/5351 weeks
3981.14243 .22161 (398*2π)/5351 weeks
399.91622 .67092 (399*2π)/5351 weeks
400.38891 .95141 (400*2π)/5351 weeks
401-.24398 .84367 (401*2π)/5351 weeks
402-.41089 .38437 (402*2π)/5351 weeks
403-.276 -.03978 (403*2π)/5351 weeks
404-.13087 -.40188 (404*2π)/5351 weeks
405.20384 -.27512 (405*2π)/5351 weeks
406.50147 -.03552 (406*2π)/5351 weeks
407.5844 .06372 (407*2π)/5351 weeks
408.53864 .1772 (408*2π)/5351 weeks
409.43485 .43268 (409*2π)/5351 weeks
410.29095 .58333 (410*2π)/5351 weeks
411.21745 .62239 (411*2π)/5351 weeks
412.25938 .73237 (412*2π)/5351 weeks
413.06374 .89528 (413*2π)/5351 weeks
414-.38519 .87735 (414*2π)/5351 weeks
415-.87365 .89832 (415*2π)/5351 weeks
416-1.17533 .42798 (416*2π)/5351 weeks
417-1.10246 -.23796 (417*2π)/5351 weeks
418-.70297 -.69439 (418*2π)/5351 weeks
419-.12813 -.86856 (419*2π)/5351 weeks
420.42836 -.56185 (420*2π)/5351 weeks
421.61783 .09693 (421*2π)/5351 weeks
422.52032 .84809 (422*2π)/5351 weeks
423.01389 1.25292 (423*2π)/5351 weeks
424-1.08398 1.15614 (424*2π)/5351 weeks
425-1.81313 .50767 (425*2π)/5351 weeks
426-2.11584 -.27804 (426*2π)/5351 weeks
427-1.78855 -1.21732 (427*2π)/5351 weeks
428-.90287 -1.95788 (428*2π)/5351 weeks
429.0578 -2.21263 (429*2π)/5351 weeks
430.83365 -1.65984 (430*2π)/5351 weeks
4311.14865 -.77454 (431*2π)/5351 weeks
4321.11066 .0925 (432*2π)/5351 weeks
433.56491 .53585 (433*2π)/5351 weeks
434-.26829 .4307 (434*2π)/5351 weeks
435-1.04307 -.05636 (435*2π)/5351 weeks
436-1.2182 -.62276 (436*2π)/5351 weeks
437-.70608 -1.32483 (437*2π)/5351 weeks
438.03893 -1.93896 (438*2π)/5351 weeks
439.89599 -2.13689 (439*2π)/5351 weeks
4401.51947 -1.7274 (440*2π)/5351 weeks
4411.9169 -.67644 (441*2π)/5351 weeks
4422.13062 .16559 (442*2π)/5351 weeks
4431.60188 .6824 (443*2π)/5351 weeks
4441.01363 1.06986 (444*2π)/5351 weeks
445.26854 1.18119 (445*2π)/5351 weeks
446-.59823 .85144 (446*2π)/5351 weeks
447-.98749 .19946 (447*2π)/5351 weeks
448-.75074 -.78478 (448*2π)/5351 weeks
449.07688 -1.6164 (449*2π)/5351 weeks
4501.10418 -1.79626 (450*2π)/5351 weeks
4512.0178 -1.06754 (451*2π)/5351 weeks
4522.60268 .1484 (452*2π)/5351 weeks
4532.19653 1.35826 (453*2π)/5351 weeks
4541.32116 2.13796 (454*2π)/5351 weeks
455.19472 2.47938 (455*2π)/5351 weeks
456-1.12331 1.62223 (456*2π)/5351 weeks
457-1.50955 .59027 (457*2π)/5351 weeks
458-1.17978 -.54429 (458*2π)/5351 weeks
459-.03348 -1.33198 (459*2π)/5351 weeks
4601.25217 -.90046 (460*2π)/5351 weeks
4611.75428 -.16224 (461*2π)/5351 weeks
4622.00558 1.0018 (462*2π)/5351 weeks
4631.59993 2.33348 (463*2π)/5351 weeks
464.27932 3.07987 (464*2π)/5351 weeks
465-1.01121 2.9925 (465*2π)/5351 weeks
466-2.14618 1.96184 (466*2π)/5351 weeks
467-2.51643 .7557 (467*2π)/5351 weeks
468-2.18096 .01552 (468*2π)/5351 weeks
469-1.79274 -.5831 (469*2π)/5351 weeks
470-1.06979 -.92589 (470*2π)/5351 weeks
471-.68947 -.66415 (471*2π)/5351 weeks
472-.20412 -.40024 (472*2π)/5351 weeks
473.02256 .09993 (473*2π)/5351 weeks
474-.36096 .51435 (474*2π)/5351 weeks
475-.86173 .95443 (475*2π)/5351 weeks
476-1.90553 1.24636 (476*2π)/5351 weeks
477-2.95159 .36697 (477*2π)/5351 weeks
478-3.39458 -.98435 (478*2π)/5351 weeks
479-2.99201 -2.59519 (479*2π)/5351 weeks
480-1.86295 -3.70272 (480*2π)/5351 weeks
481-.04289 -3.79225 (481*2π)/5351 weeks
4821.10133 -3.16743 (482*2π)/5351 weeks
4831.73443 -1.92493 (483*2π)/5351 weeks
4841.56234 -.92617 (484*2π)/5351 weeks
485.81249 -.53955 (485*2π)/5351 weeks
486.04817 -.44928 (486*2π)/5351 weeks
487-.65444 -.56981 (487*2π)/5351 weeks
488-.5233 -1.71734 (488*2π)/5351 weeks
489-.35446 -2.7178 (489*2π)/5351 weeks
490.60157 -3.41448 (490*2π)/5351 weeks
4912.11208 -3.31342 (491*2π)/5351 weeks
4923.2398 -2.66903 (492*2π)/5351 weeks
4933.92589 -1.5023 (493*2π)/5351 weeks
4943.87381 -.02126 (494*2π)/5351 weeks
4953.93151 1.11483 (495*2π)/5351 weeks
4962.75979 2.18627 (496*2π)/5351 weeks
4971.35615 2.47857 (497*2π)/5351 weeks
498.52948 2.00559 (498*2π)/5351 weeks
499.01676 1.09748 (499*2π)/5351 weeks
500-.53209 -.03573 (500*2π)/5351 weeks
501-.11203 -.99917 (501*2π)/5351 weeks
502.91821 -1.52283 (502*2π)/5351 weeks
5033.2729 -1.05633 (503*2π)/5351 weeks
5044.78796 .4541 (504*2π)/5351 weeks
5054.54494 2.54599 (505*2π)/5351 weeks
5063.06602 4.36253 (506*2π)/5351 weeks
507.54495 5.88049 (507*2π)/5351 weeks
508-1.50019 5.6663 (508*2π)/5351 weeks
509-2.78206 3.88271 (509*2π)/5351 weeks
510-3.18504 .5701 (510*2π)/5351 weeks
511-2.16386 -.87803 (511*2π)/5351 weeks
512-.02012 -.47531 (512*2π)/5351 weeks
5131.87653 1.78783 (513*2π)/5351 weeks
5142.17901 4.07204 (514*2π)/5351 weeks
515.56118 5.34699 (515*2π)/5351 weeks
516-2.71977 6.76456 (516*2π)/5351 weeks
517-5.32311 6.46261 (517*2π)/5351 weeks
518-8.71157 4.9875 (518*2π)/5351 weeks
519-9.96021 1.6011 (519*2π)/5351 weeks
520-10.73028 -1.9779 (520*2π)/5351 weeks
521-9.80193 -5.81231 (521*2π)/5351 weeks
522-6.68227 -9.4759 (522*2π)/5351 weeks
523-3.64579 -9.26879 (523*2π)/5351 weeks
5241.28464 -7.78305 (524*2π)/5351 weeks
5253.87193 -4.93457 (525*2π)/5351 weeks
5262.8187 -2.4256 (526*2π)/5351 weeks
527-.56947 2.29299 (527*2π)/5351 weeks
528-7.7297 4.10643 (528*2π)/5351 weeks
529-15.19506 -.35075 (529*2π)/5351 weeks
530-16.70627 -12.39731 (530*2π)/5351 weeks
531-13.8846 -28.85267 (531*2π)/5351 weeks
532-3.09059 -40.4617 (532*2π)/5351 weeks
53317.03287 -40.73421 (533*2π)/5351 weeks



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