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Fourier Analysis of UKPIX (Ultra Short Japan ProFunds Inve)


UKPIX (Ultra Short Japan ProFunds Inve) appears to have interesting cyclic behaviour every 43 weeks (8.4565*sine), 47 weeks (6.9891*cosine), and 47 weeks (6.6575*sine).

UKPIX (Ultra Short Japan ProFunds Inve) has an average price of 101.33 (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 3/28/2006 to 1/17/2017 for UKPIX (Ultra Short Japan ProFunds Inve), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0101.3308   0 
1-16.22326 84.48238 (1*2π)/565565 weeks
2-10.03744 24.7837 (2*2π)/565283 weeks
3-4.78944 -10.48934 (3*2π)/565188 weeks
417.37804 11.48371 (4*2π)/565141 weeks
58.34426 17.27542 (5*2π)/565113 weeks
6-9.47987 11.13939 (6*2π)/56594 weeks
7.93803 2.67621 (7*2π)/56581 weeks
87.07702 9.50392 (8*2π)/56571 weeks
9-5.87722 11.09588 (9*2π)/56563 weeks
10-3.11345 4.30666 (10*2π)/56557 weeks
11-1.71695 -2.4796 (11*2π)/56551 weeks
126.9891 6.65754 (12*2π)/56547 weeks
13-1.48748 8.45645 (13*2π)/56543 weeks
14-5.29773 3.46279 (14*2π)/56540 weeks
15.40545 .98633 (15*2π)/56538 weeks
16-.87412 2.30864 (16*2π)/56535 weeks
172.56793 .86641 (17*2π)/56533 weeks
18.11358 6.68947 (18*2π)/56531 weeks
19-2.23895 3.78225 (19*2π)/56530 weeks
20-4.23993 .77219 (20*2π)/56528 weeks
211.21482 -1.10207 (21*2π)/56527 weeks
222.10161 2.45168 (22*2π)/56526 weeks
23.16962 4.85616 (23*2π)/56525 weeks
24-2.81828 1.04977 (24*2π)/56524 weeks
25-.58332 .12679 (25*2π)/56523 weeks
262.04487 1.75231 (26*2π)/56522 weeks
27-3.2462 3.47886 (27*2π)/56521 weeks
28-1.63264 -1.14761 (28*2π)/56520 weeks
29.2526 -2.29602 (29*2π)/56519 weeks
304.25488 3.07109 (30*2π)/56519 weeks
31-2.49098 3.66056 (31*2π)/56518 weeks
32-2.6818 -1.02019 (32*2π)/56518 weeks
333.32362 -2.94063 (33*2π)/56517 weeks
343.65242 4.0495 (34*2π)/56517 weeks
35-2.67526 3.57862 (35*2π)/56516 weeks
36-1.94697 -.60895 (36*2π)/56516 weeks
37.97037 -1.72176 (37*2π)/56515 weeks
382.38122 1.30009 (38*2π)/56515 weeks
39.854 2.4484 (39*2π)/56514 weeks
40-1.47949 1.33343 (40*2π)/56514 weeks
41.11569 -.68741 (41*2π)/56514 weeks
421.75276 1.0389 (42*2π)/56513 weeks
43-.73828 1.69678 (43*2π)/56513 weeks
44.22915 .10272 (44*2π)/56513 weeks
45-.14313 -.02425 (45*2π)/56513 weeks
46.8236 .23704 (46*2π)/56512 weeks
471.41136 .43765 (47*2π)/56512 weeks
481.47318 2.24475 (48*2π)/56512 weeks
49-.9826 .77119 (49*2π)/56512 weeks
50.40016 .92552 (50*2π)/56511 weeks
51.17601 .38788 (51*2π)/56511 weeks
521.04854 .82982 (52*2π)/56511 weeks
53-.41825 1.85077 (53*2π)/56511 weeks
54.08469 -.52151 (54*2π)/56510 weeks
551.20436 .21201 (55*2π)/56510 weeks
561.94374 2.3072 (56*2π)/56510 weeks
57-1.80596 2.86858 (57*2π)/56510 weeks
58-1.75521 -1.76883 (58*2π)/56510 weeks
591.80069 -.92925 (59*2π)/56510 weeks
601.74511 1.98683 (60*2π)/5659 weeks
61-.83141 1.43 (61*2π)/5659 weeks
62-.92329 .24307 (62*2π)/5659 weeks
631.03286 -.46349 (63*2π)/5659 weeks
64-.06448 .57567 (64*2π)/5659 weeks
65.519 .47511 (65*2π)/5659 weeks
66.50393 -.02708 (66*2π)/5659 weeks
671.0351 .4263 (67*2π)/5658 weeks
681.12532 .8408 (68*2π)/5658 weeks
69.6053 1.95094 (69*2π)/5658 weeks
70-.78812 .64114 (70*2π)/5658 weeks
71.11798 -.11028 (71*2π)/5658 weeks
721.51099 -.05587 (72*2π)/5658 weeks
731.44965 1.75371 (73*2π)/5658 weeks
74-.85725 2.74929 (74*2π)/5658 weeks
75-1.83144 -.21195 (75*2π)/5658 weeks
76.83222 -1.08037 (76*2π)/5657 weeks
771.77181 1.28005 (77*2π)/5657 weeks
78-.6574 1.75888 (78*2π)/5657 weeks
79-1.35933 .64365 (79*2π)/5657 weeks
80.1134 -1.8056 (80*2π)/5657 weeks
812.47161 .99524 (81*2π)/5657 weeks
82-.35925 1.87032 (82*2π)/5657 weeks
83-1.33444 .95096 (83*2π)/5657 weeks
84-.22348 -1.27005 (84*2π)/5657 weeks
851.41731 .25419 (85*2π)/5657 weeks
86.44065 1.80085 (86*2π)/5657 weeks
87-1.50668 .64052 (87*2π)/5656 weeks
88-.16505 -1.43088 (88*2π)/5656 weeks
892.02119 .23382 (89*2π)/5656 weeks
90.51556 2.12635 (90*2π)/5656 weeks
91-1.37312 .61351 (91*2π)/5656 weeks
92-.12564 -1.08679 (92*2π)/5656 weeks
931.25461 -.04922 (93*2π)/5656 weeks
94.78553 .95602 (94*2π)/5656 weeks
95-.4956 .70541 (95*2π)/5656 weeks
96.28107 -.24142 (96*2π)/5656 weeks
97-.19659 .03908 (97*2π)/5656 weeks
98.93066 -.0674 (98*2π)/5656 weeks
99.53196 .89291 (99*2π)/5656 weeks
100-.48222 .66819 (100*2π)/5656 weeks
101.17401 -.48598 (101*2π)/5656 weeks
102.83408 .05722 (102*2π)/5656 weeks
103.60577 .75807 (103*2π)/5655 weeks
104-.00638 .64197 (104*2π)/5655 weeks
105.06907 -.20919 (105*2π)/5655 weeks
106.96521 -.27893 (106*2π)/5655 weeks
107.99773 1.11666 (107*2π)/5655 weeks
108-.42069 1.10961 (108*2π)/5655 weeks
109-.65512 -.48936 (109*2π)/5655 weeks
110.59834 -.55691 (110*2π)/5655 weeks
1111.61625 .0744 (111*2π)/5655 weeks
112.21555 1.54041 (112*2π)/5655 weeks
113-.11904 .49971 (113*2π)/5655 weeks
114.25221 -.49089 (114*2π)/5655 weeks
1151.31851 .37776 (115*2π)/5655 weeks
116.82712 1.26437 (116*2π)/5655 weeks
117-.67054 1.05217 (117*2π)/5655 weeks
118.12426 -.2872 (118*2π)/5655 weeks
119.86041 .12481 (119*2π)/5655 weeks
120.57665 1.34433 (120*2π)/5655 weeks
121-.48083 1.10852 (121*2π)/5655 weeks
122-.59176 -.31636 (122*2π)/5655 weeks
123.71979 .09446 (123*2π)/5655 weeks
124.74663 .89485 (124*2π)/5655 weeks
125-.69577 1.05174 (125*2π)/5655 weeks
126-.70404 -.50656 (126*2π)/5654 weeks
1271.03126 -.45816 (127*2π)/5654 weeks
128.90392 1.20524 (128*2π)/5654 weeks
129-.66093 1.04314 (129*2π)/5654 weeks
130-.84453 -.16483 (130*2π)/5654 weeks
131.32952 -.21432 (131*2π)/5654 weeks
132.35251 .01857 (132*2π)/5654 weeks
133.50029 .69719 (133*2π)/5654 weeks
134-.27908 .09153 (134*2π)/5654 weeks
135.25086 .36364 (135*2π)/5654 weeks
136-.21574 .19899 (136*2π)/5654 weeks
137-.03048 -.25476 (137*2π)/5654 weeks
138.29179 -.2974 (138*2π)/5654 weeks
139.6487 .03513 (139*2π)/5654 weeks
140.03731 .5751 (140*2π)/5654 weeks
141.06046 -.29329 (141*2π)/5654 weeks
142.6033 .45074 (142*2π)/5654 weeks
143-.32379 .44112 (143*2π)/5654 weeks
144.13751 -.2422 (144*2π)/5654 weeks
145.43069 -.24597 (145*2π)/5654 weeks
146.51534 .62657 (146*2π)/5654 weeks
147-.13776 .02481 (147*2π)/5654 weeks
148.46327 -.16551 (148*2π)/5654 weeks
149.17871 -.05227 (149*2π)/5654 weeks
150.61356 -.14619 (150*2π)/5654 weeks
151.5013 .31892 (151*2π)/5654 weeks
152.22796 .32787 (152*2π)/5654 weeks
153.18584 -.14643 (153*2π)/5654 weeks
154.57594 .08913 (154*2π)/5654 weeks
155.63469 .38799 (155*2π)/5654 weeks
156-.12231 .48753 (156*2π)/5654 weeks
157.27262 -.1732 (157*2π)/5654 weeks
158.40395 .17985 (158*2π)/5654 weeks
159.42036 .27363 (159*2π)/5654 weeks
160.19147 .02938 (160*2π)/5654 weeks
161.46085 .23324 (161*2π)/5654 weeks
162.00548 .32233 (162*2π)/5653 weeks
163.59205 -.2901 (163*2π)/5653 weeks
164.30253 .59356 (164*2π)/5653 weeks
165.23684 .00351 (165*2π)/5653 weeks
166.46122 .38819 (166*2π)/5653 weeks
167.08472 .43928 (167*2π)/5653 weeks
168.14335 -.20244 (168*2π)/5653 weeks
169.33616 .6984 (169*2π)/5653 weeks
170-.13481 .04875 (170*2π)/5653 weeks
171.06384 -.18751 (171*2π)/5653 weeks
172.82971 -.00499 (172*2π)/5653 weeks
173.20508 .59494 (173*2π)/5653 weeks
174.05443 .25568 (174*2π)/5653 weeks
175.24389 -.1868 (175*2π)/5653 weeks
176.49317 .16734 (176*2π)/5653 weeks
177.31546 .44466 (177*2π)/5653 weeks
178-.08463 .09086 (178*2π)/5653 weeks
179.07034 -.33404 (179*2π)/5653 weeks
180.91113 -.34422 (180*2π)/5653 weeks
181.87409 .56867 (181*2π)/5653 weeks
182.09883 .76928 (182*2π)/5653 weeks
183-.23976 .09104 (183*2π)/5653 weeks
184.28117 -.25242 (184*2π)/5653 weeks
185.7767 .27762 (185*2π)/5653 weeks
186.18557 .55296 (186*2π)/5653 weeks
187-.00578 .20983 (187*2π)/5653 weeks
188.28578 .0255 (188*2π)/5653 weeks
189.66817 .17831 (189*2π)/5653 weeks
190.29292 .654 (190*2π)/5653 weeks
191-.14069 .44054 (191*2π)/5653 weeks
192-.11361 -.0078 (192*2π)/5653 weeks
193.38428 -.01674 (193*2π)/5653 weeks
194.17154 .52697 (194*2π)/5653 weeks
195-.02859 -.03772 (195*2π)/5653 weeks
196-.01569 -.04848 (196*2π)/5653 weeks
197.5668 -.15434 (197*2π)/5653 weeks
198.53042 .36596 (198*2π)/5653 weeks
199-.02325 .87015 (199*2π)/5653 weeks
200-.76465 -.19408 (200*2π)/5653 weeks
201.75797 -.79869 (201*2π)/5653 weeks
202.70782 .33014 (202*2π)/5653 weeks
203.34242 .58531 (203*2π)/5653 weeks
204-.28559 .07977 (204*2π)/5653 weeks
205.33253 -.01066 (205*2π)/5653 weeks
206.15877 -.00287 (206*2π)/5653 weeks
207.28063 .50917 (207*2π)/5653 weeks
208-.67191 -.10132 (208*2π)/5653 weeks
209.3586 -.68125 (209*2π)/5653 weeks
2101.10025 -.32953 (210*2π)/5653 weeks
211.62122 1.06832 (211*2π)/5653 weeks
212-.64088 .50654 (212*2π)/5653 weeks
213-.15782 -.83453 (213*2π)/5653 weeks
2141.13721 -.27679 (214*2π)/5653 weeks
215.59429 .94978 (215*2π)/5653 weeks
216-.34847 .41868 (216*2π)/5653 weeks
217-.19326 -.50608 (217*2π)/5653 weeks
218.81985 -.29624 (218*2π)/5653 weeks
219.77943 .83866 (219*2π)/5653 weeks
220-.70482 .45486 (220*2π)/5653 weeks
221-.20981 -.78729 (221*2π)/5653 weeks
2221.04054 -.34634 (222*2π)/5653 weeks
223.52671 .79993 (223*2π)/5653 weeks
224-.20045 .4322 (224*2π)/5653 weeks
225-.21441 -.10266 (225*2π)/5653 weeks
226.1247 -.57492 (226*2π)/5653 weeks
227.97493 -.0604 (227*2π)/5652 weeks
228.40111 .71682 (228*2π)/5652 weeks
229-.1213 .38247 (229*2π)/5652 weeks
230-.16803 -.0427 (230*2π)/5652 weeks
231.1961 -.3832 (231*2π)/5652 weeks
232.65754 .25687 (232*2π)/5652 weeks
233-.02249 .28174 (233*2π)/5652 weeks
234-.26058 -.07995 (234*2π)/5652 weeks
235.53173 -.67209 (235*2π)/5652 weeks
236.77945 .05769 (236*2π)/5652 weeks
237.47462 .69685 (237*2π)/5652 weeks
238-.5875 .29973 (238*2π)/5652 weeks
239.1079 -.69954 (239*2π)/5652 weeks
240.86297 -.17214 (240*2π)/5652 weeks
241.45001 .76571 (241*2π)/5652 weeks
242-.58617 .40272 (242*2π)/5652 weeks
243-.24174 -.8332 (243*2π)/5652 weeks
244.84075 -.38934 (244*2π)/5652 weeks
245.88916 .41208 (245*2π)/5652 weeks
246-.46867 .68726 (246*2π)/5652 weeks
247-.17182 -.60416 (247*2π)/5652 weeks
248.64069 -.5857 (248*2π)/5652 weeks
2491.12649 .39869 (249*2π)/5652 weeks
250-.12854 .5128 (250*2π)/5652 weeks
251-.0223 -.04758 (251*2π)/5652 weeks
252.38658 -.40669 (252*2π)/5652 weeks
253.72322 .49443 (253*2π)/5652 weeks
254-.24012 .68699 (254*2π)/5652 weeks
255-.50802 -.21203 (255*2π)/5652 weeks
256.09576 -.7779 (256*2π)/5652 weeks
2571.15972 -.24849 (257*2π)/5652 weeks
258.30053 .90884 (258*2π)/5652 weeks
259-.67904 .37742 (259*2π)/5652 weeks
260-.19396 -.93274 (260*2π)/5652 weeks
261.72016 -.71262 (261*2π)/5652 weeks
2621.10447 .37081 (262*2π)/5652 weeks
263-.02571 1.07795 (263*2π)/5652 weeks
264-.99988 -.61501 (264*2π)/5652 weeks
265.70399 -1.02217 (265*2π)/5652 weeks
2661.07462 .04876 (266*2π)/5652 weeks
267.16834 .93127 (267*2π)/5652 weeks
268-.75194 -.35025 (268*2π)/5652 weeks
269.72173 -1.19016 (269*2π)/5652 weeks
2701.32597 .38218 (270*2π)/5652 weeks
271-.09035 .77178 (271*2π)/5652 weeks
272-.2405 -.34005 (272*2π)/5652 weeks
273.50247 -.86313 (273*2π)/5652 weeks
2741.26585 .12582 (274*2π)/5652 weeks
275.44936 1.23217 (275*2π)/5652 weeks
276-1.152 -.00153 (276*2π)/5652 weeks
277.32061 -1.17192 (277*2π)/5652 weeks
2781.33567 -.21824 (278*2π)/5652 weeks
279.52476 .93779 (279*2π)/5652 weeks
280-.55866 .00182 (280*2π)/5652 weeks
281-.07793 -.83311 (281*2π)/5652 weeks
2821.24377 -.90706 (282*2π)/5652 weeks
2831.24377 .90706 (283*2π)/5652 weeks
284-.07793 .83311 (284*2π)/5652 weeks
285-.55866 -.00182 (285*2π)/5652 weeks
286.52476 -.93779 (286*2π)/5652 weeks
2871.33567 .21824 (287*2π)/5652 weeks
288.32061 1.17192 (288*2π)/5652 weeks
289-1.152 .00153 (289*2π)/5652 weeks
290.44936 -1.23217 (290*2π)/5652 weeks
2911.26585 -.12582 (291*2π)/5652 weeks
292.50247 .86313 (292*2π)/5652 weeks
293-.2405 .34005 (293*2π)/5652 weeks
294-.09035 -.77178 (294*2π)/5652 weeks
2951.32597 -.38218 (295*2π)/5652 weeks
296.72173 1.19016 (296*2π)/5652 weeks
297-.75194 .35025 (297*2π)/5652 weeks
298.16834 -.93127 (298*2π)/5652 weeks
2991.07462 -.04876 (299*2π)/5652 weeks
300.70399 1.02217 (300*2π)/5652 weeks
301-.99988 .61501 (301*2π)/5652 weeks
302-.02571 -1.07795 (302*2π)/5652 weeks
3031.10447 -.37081 (303*2π)/5652 weeks
304.72016 .71262 (304*2π)/5652 weeks
305-.19396 .93274 (305*2π)/5652 weeks
306-.67904 -.37742 (306*2π)/5652 weeks
307.30053 -.90884 (307*2π)/5652 weeks
3081.15972 .24849 (308*2π)/5652 weeks
309.09576 .7779 (309*2π)/5652 weeks
310-.50802 .21203 (310*2π)/5652 weeks
311-.24012 -.68699 (311*2π)/5652 weeks
312.72322 -.49443 (312*2π)/5652 weeks
313.38658 .40669 (313*2π)/5652 weeks
314-.0223 .04758 (314*2π)/5652 weeks
315-.12854 -.5128 (315*2π)/5652 weeks
3161.12649 -.39869 (316*2π)/5652 weeks
317.64069 .5857 (317*2π)/5652 weeks
318-.17182 .60416 (318*2π)/5652 weeks
319-.46867 -.68726 (319*2π)/5652 weeks
320.88916 -.41208 (320*2π)/5652 weeks
321.84075 .38934 (321*2π)/5652 weeks
322-.24174 .8332 (322*2π)/5652 weeks
323-.58617 -.40272 (323*2π)/5652 weeks
324.45001 -.76571 (324*2π)/5652 weeks
325.86297 .17214 (325*2π)/5652 weeks
326.1079 .69954 (326*2π)/5652 weeks
327-.5875 -.29973 (327*2π)/5652 weeks
328.47462 -.69685 (328*2π)/5652 weeks
329.77945 -.05769 (329*2π)/5652 weeks
330.53173 .67209 (330*2π)/5652 weeks
331-.26058 .07995 (331*2π)/5652 weeks
332-.02249 -.28174 (332*2π)/5652 weeks
333.65754 -.25687 (333*2π)/5652 weeks
334.1961 .3832 (334*2π)/5652 weeks
335-.16803 .0427 (335*2π)/5652 weeks
336-.1213 -.38247 (336*2π)/5652 weeks
337.40111 -.71682 (337*2π)/5652 weeks
338.97493 .0604 (338*2π)/5652 weeks
339.1247 .57492 (339*2π)/5652 weeks
340-.21441 .10266 (340*2π)/5652 weeks
341-.20045 -.4322 (341*2π)/5652 weeks
342.52671 -.79993 (342*2π)/5652 weeks
3431.04054 .34634 (343*2π)/5652 weeks
344-.20981 .78729 (344*2π)/5652 weeks
345-.70482 -.45486 (345*2π)/5652 weeks
346.77943 -.83866 (346*2π)/5652 weeks
347.81985 .29624 (347*2π)/5652 weeks
348-.19326 .50608 (348*2π)/5652 weeks
349-.34847 -.41868 (349*2π)/5652 weeks
350.59429 -.94978 (350*2π)/5652 weeks
3511.13721 .27679 (351*2π)/5652 weeks
352-.15782 .83453 (352*2π)/5652 weeks
353-.64088 -.50654 (353*2π)/5652 weeks
354.62122 -1.06832 (354*2π)/5652 weeks
3551.10025 .32953 (355*2π)/5652 weeks
356.3586 .68125 (356*2π)/5652 weeks
357-.67191 .10132 (357*2π)/5652 weeks
358.28063 -.50917 (358*2π)/5652 weeks
359.15877 .00287 (359*2π)/5652 weeks
360.33253 .01066 (360*2π)/5652 weeks
361-.28559 -.07977 (361*2π)/5652 weeks
362.34242 -.58531 (362*2π)/5652 weeks
363.70782 -.33014 (363*2π)/5652 weeks
364.75797 .79869 (364*2π)/5652 weeks
365-.76465 .19408 (365*2π)/5652 weeks
366-.02325 -.87015 (366*2π)/5652 weeks
367.53042 -.36596 (367*2π)/5652 weeks
368.5668 .15434 (368*2π)/5652 weeks
369-.01569 .04848 (369*2π)/5652 weeks
370-.02859 .03772 (370*2π)/5652 weeks
371.17154 -.52697 (371*2π)/5652 weeks
372.38428 .01674 (372*2π)/5652 weeks
373-.11361 .0078 (373*2π)/5652 weeks
374-.14069 -.44054 (374*2π)/5652 weeks
375.29292 -.654 (375*2π)/5652 weeks
376.66817 -.17831 (376*2π)/5652 weeks
377.28578 -.0255 (377*2π)/5651 weeks
378-.00578 -.20983 (378*2π)/5651 weeks
379.18557 -.55296 (379*2π)/5651 weeks
380.7767 -.27762 (380*2π)/5651 weeks
381.28117 .25242 (381*2π)/5651 weeks
382-.23976 -.09104 (382*2π)/5651 weeks
383.09883 -.76928 (383*2π)/5651 weeks
384.87409 -.56867 (384*2π)/5651 weeks
385.91113 .34422 (385*2π)/5651 weeks
386.07034 .33404 (386*2π)/5651 weeks
387-.08463 -.09086 (387*2π)/5651 weeks
388.31546 -.44466 (388*2π)/5651 weeks
389.49317 -.16734 (389*2π)/5651 weeks
390.24389 .1868 (390*2π)/5651 weeks
391.05443 -.25568 (391*2π)/5651 weeks
392.20508 -.59494 (392*2π)/5651 weeks
393.82971 .00499 (393*2π)/5651 weeks
394.06384 .18751 (394*2π)/5651 weeks
395-.13481 -.04875 (395*2π)/5651 weeks
396.33616 -.6984 (396*2π)/5651 weeks
397.14335 .20244 (397*2π)/5651 weeks
398.08472 -.43928 (398*2π)/5651 weeks
399.46122 -.38819 (399*2π)/5651 weeks
400.23684 -.00351 (400*2π)/5651 weeks
401.30253 -.59356 (401*2π)/5651 weeks
402.59205 .2901 (402*2π)/5651 weeks
403.00548 -.32233 (403*2π)/5651 weeks
404.46085 -.23324 (404*2π)/5651 weeks
405.19147 -.02938 (405*2π)/5651 weeks
406.42036 -.27363 (406*2π)/5651 weeks
407.40395 -.17985 (407*2π)/5651 weeks
408.27262 .1732 (408*2π)/5651 weeks
409-.12231 -.48753 (409*2π)/5651 weeks
410.63469 -.38799 (410*2π)/5651 weeks
411.57594 -.08913 (411*2π)/5651 weeks
412.18584 .14643 (412*2π)/5651 weeks
413.22796 -.32787 (413*2π)/5651 weeks
414.5013 -.31892 (414*2π)/5651 weeks
415.61356 .14619 (415*2π)/5651 weeks
416.17871 .05227 (416*2π)/5651 weeks
417.46327 .16551 (417*2π)/5651 weeks
418-.13776 -.02481 (418*2π)/5651 weeks
419.51534 -.62657 (419*2π)/5651 weeks
420.43069 .24597 (420*2π)/5651 weeks
421.13751 .2422 (421*2π)/5651 weeks
422-.32379 -.44112 (422*2π)/5651 weeks
423.6033 -.45074 (423*2π)/5651 weeks
424.06046 .29329 (424*2π)/5651 weeks
425.03731 -.5751 (425*2π)/5651 weeks
426.6487 -.03513 (426*2π)/5651 weeks
427.29179 .2974 (427*2π)/5651 weeks
428-.03048 .25476 (428*2π)/5651 weeks
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430.25086 -.36364 (430*2π)/5651 weeks
431-.27908 -.09153 (431*2π)/5651 weeks
432.50029 -.69719 (432*2π)/5651 weeks
433.35251 -.01857 (433*2π)/5651 weeks
434.32952 .21432 (434*2π)/5651 weeks
435-.84453 .16483 (435*2π)/5651 weeks
436-.66093 -1.04314 (436*2π)/5651 weeks
437.90392 -1.20524 (437*2π)/5651 weeks
4381.03126 .45816 (438*2π)/5651 weeks
439-.70404 .50656 (439*2π)/5651 weeks
440-.69577 -1.05174 (440*2π)/5651 weeks
441.74663 -.89485 (441*2π)/5651 weeks
442.71979 -.09446 (442*2π)/5651 weeks
443-.59176 .31636 (443*2π)/5651 weeks
444-.48083 -1.10852 (444*2π)/5651 weeks
445.57665 -1.34433 (445*2π)/5651 weeks
446.86041 -.12481 (446*2π)/5651 weeks
447.12426 .2872 (447*2π)/5651 weeks
448-.67054 -1.05217 (448*2π)/5651 weeks
449.82712 -1.26437 (449*2π)/5651 weeks
4501.31851 -.37776 (450*2π)/5651 weeks
451.25221 .49089 (451*2π)/5651 weeks
452-.11904 -.49971 (452*2π)/5651 weeks
453.21555 -1.54041 (453*2π)/5651 weeks
4541.61625 -.0744 (454*2π)/5651 weeks
455.59834 .55691 (455*2π)/5651 weeks
456-.65512 .48936 (456*2π)/5651 weeks
457-.42069 -1.10961 (457*2π)/5651 weeks
458.99773 -1.11666 (458*2π)/5651 weeks
459.96521 .27893 (459*2π)/5651 weeks
460.06907 .20919 (460*2π)/5651 weeks
461-.00638 -.64197 (461*2π)/5651 weeks
462.60577 -.75807 (462*2π)/5651 weeks
463.83408 -.05722 (463*2π)/5651 weeks
464.17401 .48598 (464*2π)/5651 weeks
465-.48222 -.66819 (465*2π)/5651 weeks
466.53196 -.89291 (466*2π)/5651 weeks
467.93066 .0674 (467*2π)/5651 weeks
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469.28107 .24142 (469*2π)/5651 weeks
470-.4956 -.70541 (470*2π)/5651 weeks
471.78553 -.95602 (471*2π)/5651 weeks
4721.25461 .04922 (472*2π)/5651 weeks
473-.12564 1.08679 (473*2π)/5651 weeks
474-1.37312 -.61351 (474*2π)/5651 weeks
475.51556 -2.12635 (475*2π)/5651 weeks
4762.02119 -.23382 (476*2π)/5651 weeks
477-.16505 1.43088 (477*2π)/5651 weeks
478-1.50668 -.64052 (478*2π)/5651 weeks
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485.1134 1.8056 (485*2π)/5651 weeks
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490-1.83144 .21195 (490*2π)/5651 weeks
491-.85725 -2.74929 (491*2π)/5651 weeks
4921.44965 -1.75371 (492*2π)/5651 weeks
4931.51099 .05587 (493*2π)/5651 weeks
494.11798 .11028 (494*2π)/5651 weeks
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496.6053 -1.95094 (496*2π)/5651 weeks
4971.12532 -.8408 (497*2π)/5651 weeks
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5021.03286 .46349 (502*2π)/5651 weeks
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5051.74511 -1.98683 (505*2π)/5651 weeks
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507-1.75521 1.76883 (507*2π)/5651 weeks
508-1.80596 -2.86858 (508*2π)/5651 weeks
5091.94374 -2.3072 (509*2π)/5651 weeks
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5171.47318 -2.24475 (517*2π)/5651 weeks
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5231.75276 -1.0389 (523*2π)/5651 weeks
524.11569 .68741 (524*2π)/5651 weeks
525-1.47949 -1.33343 (525*2π)/5651 weeks
526.854 -2.4484 (526*2π)/5651 weeks
5272.38122 -1.30009 (527*2π)/5651 weeks
528.97037 1.72176 (528*2π)/5651 weeks
529-1.94697 .60895 (529*2π)/5651 weeks
530-2.67526 -3.57862 (530*2π)/5651 weeks
5313.65242 -4.0495 (531*2π)/5651 weeks
5323.32362 2.94063 (532*2π)/5651 weeks
533-2.6818 1.02019 (533*2π)/5651 weeks
534-2.49098 -3.66056 (534*2π)/5651 weeks
5354.25488 -3.07109 (535*2π)/5651 weeks
536.2526 2.29602 (536*2π)/5651 weeks
537-1.63264 1.14761 (537*2π)/5651 weeks
538-3.2462 -3.47886 (538*2π)/5651 weeks
5392.04487 -1.75231 (539*2π)/5651 weeks
540-.58332 -.12679 (540*2π)/5651 weeks
541-2.81828 -1.04977 (541*2π)/5651 weeks
542.16962 -4.85616 (542*2π)/5651 weeks
5432.10161 -2.45168 (543*2π)/5651 weeks
5441.21482 1.10207 (544*2π)/5651 weeks
545-4.23993 -.77219 (545*2π)/5651 weeks
546-2.23895 -3.78225 (546*2π)/5651 weeks
547.11358 -6.68947 (547*2π)/5651 weeks
5482.56793 -.86641 (548*2π)/5651 weeks
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551-5.29773 -3.46279 (551*2π)/5651 weeks
552-1.48748 -8.45645 (552*2π)/5651 weeks
5536.9891 -6.65754 (553*2π)/5651 weeks
554-1.71695 2.4796 (554*2π)/5651 weeks
555-3.11345 -4.30666 (555*2π)/5651 weeks
556-5.87722 -11.09588 (556*2π)/5651 weeks
5577.07702 -9.50392 (557*2π)/5651 weeks
558.93803 -2.67621 (558*2π)/5651 weeks
559-9.47987 -11.13939 (559*2π)/5651 weeks
5608.34426 -17.27542 (560*2π)/5651 weeks
56117.37804 -11.48371 (561*2π)/5651 weeks
562-4.78944 10.48934 (562*2π)/5651 weeks
563-10.03744 -24.7837 (563*2π)/5651 weeks

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