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Fourier Analysis of UHPIX (ULTRASHORT CHINA PROFUND ULTRASHORT CHINA PROFUND INVESTOR CLASS)


UHPIX (ULTRASHORT CHINA PROFUND ULTRASHORT CHINA PROFUND INVESTOR CLASS) appears to have interesting cyclic behaviour every 43 weeks (13.7977*sine), 52 weeks (12.4688*cosine), and 47 weeks (11.6885*sine).

UHPIX (ULTRASHORT CHINA PROFUND ULTRASHORT CHINA PROFUND INVESTOR CLASS) has an average price of 50.43 (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 2/4/2008 to 1/8/2018 for UHPIX (ULTRASHORT CHINA PROFUND ULTRASHORT CHINA PROFUND INVESTOR CLASS), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
050.43318   0 
113.44151 45.28769 (1*2π)/519519 weeks
2-1.92547 30.84405 (2*2π)/519260 weeks
3-21.35299 22.31088 (3*2π)/519173 weeks
4-20.82795 4.39491 (4*2π)/519130 weeks
5-17.08922 -5.76744 (5*2π)/519104 weeks
6-9.53746 -12.93586 (6*2π)/51987 weeks
7-.4616 -16.95497 (7*2π)/51974 weeks
811.53376 -11.84324 (8*2π)/51965 weeks
915.38223 -1.82022 (9*2π)/51958 weeks
1012.46876 6.62278 (10*2π)/51952 weeks
117.80651 11.68853 (11*2π)/51947 weeks
12-2.47071 13.79773 (12*2π)/51943 weeks
13-6.28354 8.35409 (13*2π)/51940 weeks
14-11.15861 3.60409 (14*2π)/51937 weeks
15-10.26673 -4.29417 (15*2π)/51935 weeks
16-3.99901 -8.10645 (16*2π)/51932 weeks
171.4123 -8.43182 (17*2π)/51931 weeks
185.85831 -6.47157 (18*2π)/51929 weeks
198.42897 -1.22606 (19*2π)/51927 weeks
208.14378 3.27601 (20*2π)/51926 weeks
214.85402 7.57017 (21*2π)/51925 weeks
22-.99743 7.63351 (22*2π)/51924 weeks
23-4.61041 5.8467 (23*2π)/51923 weeks
24-6.23138 2.59727 (24*2π)/51922 weeks
25-5.07244 -1.50949 (25*2π)/51921 weeks
26-3.69393 -3.9354 (26*2π)/51920 weeks
27-.22767 -5.55072 (27*2π)/51919 weeks
282.67079 -3.93179 (28*2π)/51919 weeks
294.65266 -1.80602 (29*2π)/51918 weeks
305.27503 1.32331 (30*2π)/51917 weeks
313.53699 4.15211 (31*2π)/51917 weeks
32-.06877 4.63808 (32*2π)/51916 weeks
33-1.39715 3.70464 (33*2π)/51916 weeks
34-3.08425 2.4068 (34*2π)/51915 weeks
35-2.57523 .54722 (35*2π)/51915 weeks
36-2.79802 -.15429 (36*2π)/51914 weeks
37-2.37033 -1.70686 (37*2π)/51914 weeks
38-.61116 -3.13708 (38*2π)/51914 weeks
391.55368 -1.76223 (39*2π)/51913 weeks
401.20363 -.95671 (40*2π)/51913 weeks
412.09317 -.2793 (41*2π)/51913 weeks
421.83921 1.15971 (42*2π)/51912 weeks
431.03943 1.25591 (43*2π)/51912 weeks
44.30822 2.09154 (44*2π)/51912 weeks
45-.79605 2.09474 (45*2π)/51912 weeks
46-1.21735 1.14215 (46*2π)/51911 weeks
47-2.16693 .42184 (47*2π)/51911 weeks
48-1.40507 -.8712 (48*2π)/51911 weeks
49-.9056 -.90529 (49*2π)/51911 weeks
50-.41944 -1.34518 (50*2π)/51910 weeks
51.56378 -1.5754 (51*2π)/51910 weeks
521.23467 -.80674 (52*2π)/51910 weeks
531.3204 -.76586 (53*2π)/51910 weeks
542.00513 .71184 (54*2π)/51910 weeks
551.44442 1.39094 (55*2π)/5199 weeks
56.50441 2.10665 (56*2π)/5199 weeks
57-.55408 2.05269 (57*2π)/5199 weeks
58-1.99261 1.80734 (58*2π)/5199 weeks
59-2.59089 -.12441 (59*2π)/5199 weeks
60-1.78755 -1.36085 (60*2π)/5199 weeks
61-.92341 -2.31844 (61*2π)/5199 weeks
62.76564 -2.52543 (62*2π)/5198 weeks
632.21869 -1.17479 (63*2π)/5198 weeks
642.4223 -.1788 (64*2π)/5198 weeks
652.62912 1.65877 (65*2π)/5198 weeks
66.70905 3.04779 (66*2π)/5198 weeks
67-1.08106 2.45266 (67*2π)/5198 weeks
68-2.13065 1.22627 (68*2π)/5198 weeks
69-2.35885 -.19107 (69*2π)/5198 weeks
70-1.45494 -1.26342 (70*2π)/5197 weeks
71-.47596 -1.70796 (71*2π)/5197 weeks
72-.08008 -1.58175 (72*2π)/5197 weeks
731.17751 -1.97038 (73*2π)/5197 weeks
742.38448 -.59913 (74*2π)/5197 weeks
751.86091 .71504 (75*2π)/5197 weeks
761.68237 1.27169 (76*2π)/5197 weeks
77.4814 2.39325 (77*2π)/5197 weeks
78-.86125 1.70779 (78*2π)/5197 weeks
79-1.3659 1.1421 (79*2π)/5197 weeks
80-2.02578 .40906 (80*2π)/5196 weeks
81-1.66017 -1.04482 (81*2π)/5196 weeks
82-.80319 -1.6655 (82*2π)/5196 weeks
83.45768 -1.99846 (83*2π)/5196 weeks
841.5114 -1.48495 (84*2π)/5196 weeks
852.04288 -.17039 (85*2π)/5196 weeks
861.64408 .94303 (86*2π)/5196 weeks
87.8107 1.72817 (87*2π)/5196 weeks
88-.34612 1.53789 (88*2π)/5196 weeks
89-.8723 .60235 (89*2π)/5196 weeks
90-.66329 .35356 (90*2π)/5196 weeks
91-.86185 -.13729 (91*2π)/5196 weeks
92-.4589 -.45908 (92*2π)/5196 weeks
93-.18515 -.60039 (93*2π)/5196 weeks
94.29478 -.74019 (94*2π)/5196 weeks
95.66306 -.56942 (95*2π)/5195 weeks
96.74986 .00232 (96*2π)/5195 weeks
97.52145 .24358 (97*2π)/5195 weeks
98.45182 .50399 (98*2π)/5195 weeks
99.09139 .54506 (99*2π)/5195 weeks
100-.01187 .29797 (100*2π)/5195 weeks
101-.20764 .2465 (101*2π)/5195 weeks
102-.08627 -.02854 (102*2π)/5195 weeks
103-.04271 -.01816 (103*2π)/5195 weeks
104.09444 -.10686 (104*2π)/5195 weeks
105.07373 -.03781 (105*2π)/5195 weeks
106.14751 -.10941 (106*2π)/5195 weeks
107.39683 .15014 (107*2π)/5195 weeks
108.08119 .29083 (108*2π)/5195 weeks
109.12332 .02351 (109*2π)/5195 weeks
110.17081 .1375 (110*2π)/5195 weeks
111.1032 .32764 (111*2π)/5195 weeks
112-.13549 .24332 (112*2π)/5195 weeks
113-.03776 .02899 (113*2π)/5195 weeks
114-.06367 -.14543 (114*2π)/5195 weeks
115.21469 -.12228 (115*2π)/5195 weeks
116.27354 .23071 (116*2π)/5194 weeks
117-.12677 .26747 (117*2π)/5194 weeks
118.02086 .00335 (118*2π)/5194 weeks
119-.10984 -.07945 (119*2π)/5194 weeks
120.13564 -.35678 (120*2π)/5194 weeks
121.52991 .00324 (121*2π)/5194 weeks
122.47171 .30931 (122*2π)/5194 weeks
123.2431 .50965 (123*2π)/5194 weeks
124.03755 .45569 (124*2π)/5194 weeks
125-.08634 .35324 (125*2π)/5194 weeks
126-.28247 .35714 (126*2π)/5194 weeks
127-.44148 .28493 (127*2π)/5194 weeks
128-.40922 -.07455 (128*2π)/5194 weeks
129-.46863 -.35246 (129*2π)/5194 weeks
130-.15011 -.88764 (130*2π)/5194 weeks
131.73133 -.72384 (131*2π)/5194 weeks
1321.07045 .034 (132*2π)/5194 weeks
133.87534 .50201 (133*2π)/5194 weeks
134.44478 1.09664 (134*2π)/5194 weeks
135-.51099 1.0326 (135*2π)/5194 weeks
136-.85479 .37662 (136*2π)/5194 weeks
137-.70103 -.00524 (137*2π)/5194 weeks
138-.65237 -.54556 (138*2π)/5194 weeks
139-.07779 -.87377 (139*2π)/5194 weeks
140.29931 -.538 (140*2π)/5194 weeks
141.59561 -.4393 (141*2π)/5194 weeks
142.87557 .04905 (142*2π)/5194 weeks
143.53273 .44858 (143*2π)/5194 weeks
144.32317 .40003 (144*2π)/5194 weeks
145.12352 .70107 (145*2π)/5194 weeks
146-.26104 .62371 (146*2π)/5194 weeks
147-.54848 .50328 (147*2π)/5194 weeks
148-.74465 .0463 (148*2π)/5194 weeks
149-.81846 -.49855 (149*2π)/5193 weeks
150-.07716 -.95433 (150*2π)/5193 weeks
151.17177 -.68031 (151*2π)/5193 weeks
152.58036 -.76674 (152*2π)/5193 weeks
153.97646 -.33547 (153*2π)/5193 weeks
1541.12536 .21087 (154*2π)/5193 weeks
155.81173 .88341 (155*2π)/5193 weeks
156.23782 1.03794 (156*2π)/5193 weeks
157-.39299 1.03709 (157*2π)/5193 weeks
158-.80239 .60431 (158*2π)/5193 weeks
159-.99613 -.09325 (159*2π)/5193 weeks
160-.68795 -.62114 (160*2π)/5193 weeks
161-.13856 -.82646 (161*2π)/5193 weeks
162.20526 -.76593 (162*2π)/5193 weeks
163.71594 -.52532 (163*2π)/5193 weeks
164.74758 -.07863 (164*2π)/5193 weeks
165.6458 .13664 (165*2π)/5193 weeks
166.50502 .38966 (166*2π)/5193 weeks
167.34408 .52633 (167*2π)/5193 weeks
168.13914 .57592 (168*2π)/5193 weeks
169-.20709 .62888 (169*2π)/5193 weeks
170-.50119 .31009 (170*2π)/5193 weeks
171-.60052 -.11935 (171*2π)/5193 weeks
172-.41062 -.38513 (172*2π)/5193 weeks
173.02723 -.56717 (173*2π)/5193 weeks
174.14769 -.61044 (174*2π)/5193 weeks
175.67735 -.40351 (175*2π)/5193 weeks
176.68636 .03502 (176*2π)/5193 weeks
177.74464 .27206 (177*2π)/5193 weeks
178.47424 .70078 (178*2π)/5193 weeks
179-.03917 .75943 (179*2π)/5193 weeks
180-.40381 .63262 (180*2π)/5193 weeks
181-.56818 .23665 (181*2π)/5193 weeks
182-.62113 -.24421 (182*2π)/5193 weeks
183-.21252 -.43079 (183*2π)/5193 weeks
184.00765 -.39293 (184*2π)/5193 weeks
185.23204 -.66169 (185*2π)/5193 weeks
186.66575 -.34088 (186*2π)/5193 weeks
187.68635 .08833 (187*2π)/5193 weeks
188.66527 .47973 (188*2π)/5193 weeks
189.36602 .88033 (189*2π)/5193 weeks
190-.48503 .72051 (190*2π)/5193 weeks
191-.49111 .29656 (191*2π)/5193 weeks
192-.77929 .17728 (192*2π)/5193 weeks
193-.65328 -.6896 (193*2π)/5193 weeks
194.00424 -.77485 (194*2π)/5193 weeks
195.48119 -.65878 (195*2π)/5193 weeks
196.76406 -.20761 (196*2π)/5193 weeks
197.70957 .28931 (197*2π)/5193 weeks
198.31883 .45681 (198*2π)/5193 weeks
199.16268 .51378 (199*2π)/5193 weeks
200-.15854 .51459 (200*2π)/5193 weeks
201-.46361 .29962 (201*2π)/5193 weeks
202-.28819 -.13759 (202*2π)/5193 weeks
203-.39015 -.24119 (203*2π)/5193 weeks
204.05706 -.42185 (204*2π)/5193 weeks
205.27189 -.09613 (205*2π)/5193 weeks
206.16019 -.05749 (206*2π)/5193 weeks
207.06188 -.00469 (207*2π)/5193 weeks
208.04889 -.1209 (208*2π)/5192 weeks
209.30326 -.06015 (209*2π)/5192 weeks
210.19876 .01701 (210*2π)/5192 weeks
211.17687 .03561 (211*2π)/5192 weeks
212.29296 .1421 (212*2π)/5192 weeks
213.12385 .3695 (213*2π)/5192 weeks
214-.01143 .30048 (214*2π)/5192 weeks
215-.2297 .32786 (215*2π)/5192 weeks
216-.52593 -.036 (216*2π)/5192 weeks
217-.24553 -.2535 (217*2π)/5192 weeks
218-.05836 -.3594 (218*2π)/5192 weeks
219.12335 -.43289 (219*2π)/5192 weeks
220.35436 -.35085 (220*2π)/5192 weeks
221.47745 -.09358 (221*2π)/5192 weeks
222.49455 .08685 (222*2π)/5192 weeks
223.35954 .32797 (223*2π)/5192 weeks
224.08893 .4166 (224*2π)/5192 weeks
225-.14695 .34939 (225*2π)/5192 weeks
226-.23426 .34759 (226*2π)/5192 weeks
227-.51848 -.0036 (227*2π)/5192 weeks
228-.23102 -.42922 (228*2π)/5192 weeks
229-.16953 -.37714 (229*2π)/5192 weeks
230.27789 -.56192 (230*2π)/5192 weeks
231.57262 -.17847 (231*2π)/5192 weeks
232.38858 .09594 (232*2π)/5192 weeks
233.24697 .13059 (233*2π)/5192 weeks
234.23685 .35544 (234*2π)/5192 weeks
235-.01686 .30995 (235*2π)/5192 weeks
236-.14368 .21112 (236*2π)/5192 weeks
237-.2635 .16756 (237*2π)/5192 weeks
238-.52682 -.21476 (238*2π)/5192 weeks
239-.22457 -.64536 (239*2π)/5192 weeks
240.30709 -.67574 (240*2π)/5192 weeks
241.73566 -.51912 (241*2π)/5192 weeks
242.93512 .12188 (242*2π)/5192 weeks
243.52641 .49491 (243*2π)/5192 weeks
244.31542 .65496 (244*2π)/5192 weeks
245-.02895 .80662 (245*2π)/5192 weeks
246-.61608 .58295 (246*2π)/5192 weeks
247-.74917 -.03515 (247*2π)/5192 weeks
248-.50097 -.4911 (248*2π)/5192 weeks
249-.1476 -.53855 (249*2π)/5192 weeks
250.09714 -.58211 (250*2π)/5192 weeks
251.35285 -.38896 (251*2π)/5192 weeks
252.52744 -.51374 (252*2π)/5192 weeks
253.88625 -.04534 (253*2π)/5192 weeks
254.66415 .51416 (254*2π)/5192 weeks
255.21809 .65932 (255*2π)/5192 weeks
256.00114 .44383 (256*2π)/5192 weeks
257-.19684 .39386 (257*2π)/5192 weeks
258-.20178 .36085 (258*2π)/5192 weeks
259-.52787 .22968 (259*2π)/5192 weeks
260-.52787 -.22968 (260*2π)/5192 weeks
261-.20178 -.36085 (261*2π)/5192 weeks
262-.19684 -.39386 (262*2π)/5192 weeks
263.00114 -.44383 (263*2π)/5192 weeks
264.21809 -.65932 (264*2π)/5192 weeks
265.66415 -.51416 (265*2π)/5192 weeks
266.88625 .04534 (266*2π)/5192 weeks
267.52744 .51374 (267*2π)/5192 weeks
268.35285 .38896 (268*2π)/5192 weeks
269.09714 .58211 (269*2π)/5192 weeks
270-.1476 .53855 (270*2π)/5192 weeks
271-.50097 .4911 (271*2π)/5192 weeks
272-.74917 .03515 (272*2π)/5192 weeks
273-.61608 -.58295 (273*2π)/5192 weeks
274-.02895 -.80662 (274*2π)/5192 weeks
275.31542 -.65496 (275*2π)/5192 weeks
276.52641 -.49491 (276*2π)/5192 weeks
277.93512 -.12188 (277*2π)/5192 weeks
278.73566 .51912 (278*2π)/5192 weeks
279.30709 .67574 (279*2π)/5192 weeks
280-.22457 .64536 (280*2π)/5192 weeks
281-.52682 .21476 (281*2π)/5192 weeks
282-.2635 -.16756 (282*2π)/5192 weeks
283-.14368 -.21112 (283*2π)/5192 weeks
284-.01686 -.30995 (284*2π)/5192 weeks
285.23685 -.35544 (285*2π)/5192 weeks
286.24697 -.13059 (286*2π)/5192 weeks
287.38858 -.09594 (287*2π)/5192 weeks
288.57262 .17847 (288*2π)/5192 weeks
289.27789 .56192 (289*2π)/5192 weeks
290-.16953 .37714 (290*2π)/5192 weeks
291-.23102 .42922 (291*2π)/5192 weeks
292-.51848 .0036 (292*2π)/5192 weeks
293-.23426 -.34759 (293*2π)/5192 weeks
294-.14695 -.34939 (294*2π)/5192 weeks
295.08893 -.4166 (295*2π)/5192 weeks
296.35954 -.32797 (296*2π)/5192 weeks
297.49455 -.08685 (297*2π)/5192 weeks
298.47745 .09358 (298*2π)/5192 weeks
299.35436 .35085 (299*2π)/5192 weeks
300.12335 .43289 (300*2π)/5192 weeks
301-.05836 .3594 (301*2π)/5192 weeks
302-.24553 .2535 (302*2π)/5192 weeks
303-.52593 .036 (303*2π)/5192 weeks
304-.2297 -.32786 (304*2π)/5192 weeks
305-.01143 -.30048 (305*2π)/5192 weeks
306.12385 -.3695 (306*2π)/5192 weeks
307.29296 -.1421 (307*2π)/5192 weeks
308.17687 -.03561 (308*2π)/5192 weeks
309.19876 -.01701 (309*2π)/5192 weeks
310.30326 .06015 (310*2π)/5192 weeks
311.04889 .1209 (311*2π)/5192 weeks
312.06188 .00469 (312*2π)/5192 weeks
313.16019 .05749 (313*2π)/5192 weeks
314.27189 .09613 (314*2π)/5192 weeks
315.05706 .42185 (315*2π)/5192 weeks
316-.39015 .24119 (316*2π)/5192 weeks
317-.28819 .13759 (317*2π)/5192 weeks
318-.46361 -.29962 (318*2π)/5192 weeks
319-.15854 -.51459 (319*2π)/5192 weeks
320.16268 -.51378 (320*2π)/5192 weeks
321.31883 -.45681 (321*2π)/5192 weeks
322.70957 -.28931 (322*2π)/5192 weeks
323.76406 .20761 (323*2π)/5192 weeks
324.48119 .65878 (324*2π)/5192 weeks
325.00424 .77485 (325*2π)/5192 weeks
326-.65328 .6896 (326*2π)/5192 weeks
327-.77929 -.17728 (327*2π)/5192 weeks
328-.49111 -.29656 (328*2π)/5192 weeks
329-.48503 -.72051 (329*2π)/5192 weeks
330.36602 -.88033 (330*2π)/5192 weeks
331.66527 -.47973 (331*2π)/5192 weeks
332.68635 -.08833 (332*2π)/5192 weeks
333.66575 .34088 (333*2π)/5192 weeks
334.23204 .66169 (334*2π)/5192 weeks
335.00765 .39293 (335*2π)/5192 weeks
336-.21252 .43079 (336*2π)/5192 weeks
337-.62113 .24421 (337*2π)/5192 weeks
338-.56818 -.23665 (338*2π)/5192 weeks
339-.40381 -.63262 (339*2π)/5192 weeks
340-.03917 -.75943 (340*2π)/5192 weeks
341.47424 -.70078 (341*2π)/5192 weeks
342.74464 -.27206 (342*2π)/5192 weeks
343.68636 -.03502 (343*2π)/5192 weeks
344.67735 .40351 (344*2π)/5192 weeks
345.14769 .61044 (345*2π)/5192 weeks
346.02723 .56717 (346*2π)/5192 weeks
347-.41062 .38513 (347*2π)/5191 weeks
348-.60052 .11935 (348*2π)/5191 weeks
349-.50119 -.31009 (349*2π)/5191 weeks
350-.20709 -.62888 (350*2π)/5191 weeks
351.13914 -.57592 (351*2π)/5191 weeks
352.34408 -.52633 (352*2π)/5191 weeks
353.50502 -.38966 (353*2π)/5191 weeks
354.6458 -.13664 (354*2π)/5191 weeks
355.74758 .07863 (355*2π)/5191 weeks
356.71594 .52532 (356*2π)/5191 weeks
357.20526 .76593 (357*2π)/5191 weeks
358-.13856 .82646 (358*2π)/5191 weeks
359-.68795 .62114 (359*2π)/5191 weeks
360-.99613 .09325 (360*2π)/5191 weeks
361-.80239 -.60431 (361*2π)/5191 weeks
362-.39299 -1.03709 (362*2π)/5191 weeks
363.23782 -1.03794 (363*2π)/5191 weeks
364.81173 -.88341 (364*2π)/5191 weeks
3651.12536 -.21087 (365*2π)/5191 weeks
366.97646 .33547 (366*2π)/5191 weeks
367.58036 .76674 (367*2π)/5191 weeks
368.17177 .68031 (368*2π)/5191 weeks
369-.07716 .95433 (369*2π)/5191 weeks
370-.81846 .49855 (370*2π)/5191 weeks
371-.74465 -.0463 (371*2π)/5191 weeks
372-.54848 -.50328 (372*2π)/5191 weeks
373-.26104 -.62371 (373*2π)/5191 weeks
374.12352 -.70107 (374*2π)/5191 weeks
375.32317 -.40003 (375*2π)/5191 weeks
376.53273 -.44858 (376*2π)/5191 weeks
377.87557 -.04905 (377*2π)/5191 weeks
378.59561 .4393 (378*2π)/5191 weeks
379.29931 .538 (379*2π)/5191 weeks
380-.07779 .87377 (380*2π)/5191 weeks
381-.65237 .54556 (381*2π)/5191 weeks
382-.70103 .00524 (382*2π)/5191 weeks
383-.85479 -.37662 (383*2π)/5191 weeks
384-.51099 -1.0326 (384*2π)/5191 weeks
385.44478 -1.09664 (385*2π)/5191 weeks
386.87534 -.50201 (386*2π)/5191 weeks
3871.07045 -.034 (387*2π)/5191 weeks
388.73133 .72384 (388*2π)/5191 weeks
389-.15011 .88764 (389*2π)/5191 weeks
390-.46863 .35246 (390*2π)/5191 weeks
391-.40922 .07455 (391*2π)/5191 weeks
392-.44148 -.28493 (392*2π)/5191 weeks
393-.28247 -.35714 (393*2π)/5191 weeks
394-.08634 -.35324 (394*2π)/5191 weeks
395.03755 -.45569 (395*2π)/5191 weeks
396.2431 -.50965 (396*2π)/5191 weeks
397.47171 -.30931 (397*2π)/5191 weeks
398.52991 -.00324 (398*2π)/5191 weeks
399.13564 .35678 (399*2π)/5191 weeks
400-.10984 .07945 (400*2π)/5191 weeks
401.02086 -.00335 (401*2π)/5191 weeks
402-.12677 -.26747 (402*2π)/5191 weeks
403.27354 -.23071 (403*2π)/5191 weeks
404.21469 .12228 (404*2π)/5191 weeks
405-.06367 .14543 (405*2π)/5191 weeks
406-.03776 -.02899 (406*2π)/5191 weeks
407-.13549 -.24332 (407*2π)/5191 weeks
408.1032 -.32764 (408*2π)/5191 weeks
409.17081 -.1375 (409*2π)/5191 weeks
410.12332 -.02351 (410*2π)/5191 weeks
411.08119 -.29083 (411*2π)/5191 weeks
412.39683 -.15014 (412*2π)/5191 weeks
413.14751 .10941 (413*2π)/5191 weeks
414.07373 .03781 (414*2π)/5191 weeks
415.09444 .10686 (415*2π)/5191 weeks
416-.04271 .01816 (416*2π)/5191 weeks
417-.08627 .02854 (417*2π)/5191 weeks
418-.20764 -.2465 (418*2π)/5191 weeks
419-.01187 -.29797 (419*2π)/5191 weeks
420.09139 -.54506 (420*2π)/5191 weeks
421.45182 -.50399 (421*2π)/5191 weeks
422.52145 -.24358 (422*2π)/5191 weeks
423.74986 -.00232 (423*2π)/5191 weeks
424.66306 .56942 (424*2π)/5191 weeks
425.29478 .74019 (425*2π)/5191 weeks
426-.18515 .60039 (426*2π)/5191 weeks
427-.4589 .45908 (427*2π)/5191 weeks
428-.86185 .13729 (428*2π)/5191 weeks
429-.66329 -.35356 (429*2π)/5191 weeks
430-.8723 -.60235 (430*2π)/5191 weeks
431-.34612 -1.53789 (431*2π)/5191 weeks
432.8107 -1.72817 (432*2π)/5191 weeks
4331.64408 -.94303 (433*2π)/5191 weeks
4342.04288 .17039 (434*2π)/5191 weeks
4351.5114 1.48495 (435*2π)/5191 weeks
436.45768 1.99846 (436*2π)/5191 weeks
437-.80319 1.6655 (437*2π)/5191 weeks
438-1.66017 1.04482 (438*2π)/5191 weeks
439-2.02578 -.40906 (439*2π)/5191 weeks
440-1.3659 -1.1421 (440*2π)/5191 weeks
441-.86125 -1.70779 (441*2π)/5191 weeks
442.4814 -2.39325 (442*2π)/5191 weeks
4431.68237 -1.27169 (443*2π)/5191 weeks
4441.86091 -.71504 (444*2π)/5191 weeks
4452.38448 .59913 (445*2π)/5191 weeks
4461.17751 1.97038 (446*2π)/5191 weeks
447-.08008 1.58175 (447*2π)/5191 weeks
448-.47596 1.70796 (448*2π)/5191 weeks
449-1.45494 1.26342 (449*2π)/5191 weeks
450-2.35885 .19107 (450*2π)/5191 weeks
451-2.13065 -1.22627 (451*2π)/5191 weeks
452-1.08106 -2.45266 (452*2π)/5191 weeks
453.70905 -3.04779 (453*2π)/5191 weeks
4542.62912 -1.65877 (454*2π)/5191 weeks
4552.4223 .1788 (455*2π)/5191 weeks
4562.21869 1.17479 (456*2π)/5191 weeks
457.76564 2.52543 (457*2π)/5191 weeks
458-.92341 2.31844 (458*2π)/5191 weeks
459-1.78755 1.36085 (459*2π)/5191 weeks
460-2.59089 .12441 (460*2π)/5191 weeks
461-1.99261 -1.80734 (461*2π)/5191 weeks
462-.55408 -2.05269 (462*2π)/5191 weeks
463.50441 -2.10665 (463*2π)/5191 weeks
4641.44442 -1.39094 (464*2π)/5191 weeks
4652.00513 -.71184 (465*2π)/5191 weeks
4661.3204 .76586 (466*2π)/5191 weeks
4671.23467 .80674 (467*2π)/5191 weeks
468.56378 1.5754 (468*2π)/5191 weeks
469-.41944 1.34518 (469*2π)/5191 weeks
470-.9056 .90529 (470*2π)/5191 weeks
471-1.40507 .8712 (471*2π)/5191 weeks
472-2.16693 -.42184 (472*2π)/5191 weeks
473-1.21735 -1.14215 (473*2π)/5191 weeks
474-.79605 -2.09474 (474*2π)/5191 weeks
475.30822 -2.09154 (475*2π)/5191 weeks
4761.03943 -1.25591 (476*2π)/5191 weeks
4771.83921 -1.15971 (477*2π)/5191 weeks
4782.09317 .2793 (478*2π)/5191 weeks
4791.20363 .95671 (479*2π)/5191 weeks
4801.55368 1.76223 (480*2π)/5191 weeks
481-.61116 3.13708 (481*2π)/5191 weeks
482-2.37033 1.70686 (482*2π)/5191 weeks
483-2.79802 .15429 (483*2π)/5191 weeks
484-2.57523 -.54722 (484*2π)/5191 weeks
485-3.08425 -2.4068 (485*2π)/5191 weeks
486-1.39715 -3.70464 (486*2π)/5191 weeks
487-.06877 -4.63808 (487*2π)/5191 weeks
4883.53699 -4.15211 (488*2π)/5191 weeks
4895.27503 -1.32331 (489*2π)/5191 weeks
4904.65266 1.80602 (490*2π)/5191 weeks
4912.67079 3.93179 (491*2π)/5191 weeks
492-.22767 5.55072 (492*2π)/5191 weeks
493-3.69393 3.9354 (493*2π)/5191 weeks
494-5.07244 1.50949 (494*2π)/5191 weeks
495-6.23138 -2.59727 (495*2π)/5191 weeks
496-4.61041 -5.8467 (496*2π)/5191 weeks
497-.99743 -7.63351 (497*2π)/5191 weeks
4984.85402 -7.57017 (498*2π)/5191 weeks
4998.14378 -3.27601 (499*2π)/5191 weeks
5008.42897 1.22606 (500*2π)/5191 weeks
5015.85831 6.47157 (501*2π)/5191 weeks
5021.4123 8.43182 (502*2π)/5191 weeks
503-3.99901 8.10645 (503*2π)/5191 weeks
504-10.26673 4.29417 (504*2π)/5191 weeks
505-11.15861 -3.60409 (505*2π)/5191 weeks
506-6.28354 -8.35409 (506*2π)/5191 weeks
507-2.47071 -13.79773 (507*2π)/5191 weeks
5087.80651 -11.68853 (508*2π)/5191 weeks
50912.46876 -6.62278 (509*2π)/5191 weeks
51015.38223 1.82022 (510*2π)/5191 weeks
51111.53376 11.84324 (511*2π)/5191 weeks
512-.4616 16.95497 (512*2π)/5191 weeks
513-9.53746 12.93586 (513*2π)/5191 weeks
514-17.08922 5.76744 (514*2π)/5191 weeks
515-20.82795 -4.39491 (515*2π)/5191 weeks
516-21.35299 -22.31088 (516*2π)/5191 weeks
517-1.92547 -30.84405 (517*2π)/5191 weeks



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