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Fourier Analysis of UHPIX (Ultra Short China ProFund Inves)


UHPIX (Ultra Short China ProFund Inves) appears to have interesting cyclic behaviour every 17 weeks (13.4318*sine), 16 weeks (13.3188*sine), and 18 weeks (10.9661*sine).

UHPIX (Ultra Short China ProFund Inves) has an average price of 90.19 (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 3/20/2017 for UHPIX (Ultra Short China ProFund Inves), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
090.18727   0 
178.28605 69.6202 (1*2π)/477477 weeks
248.6181 75.35013 (2*2π)/477239 weeks
37.83082 69.27956 (3*2π)/477159 weeks
4-10.28816 54.03937 (4*2π)/477119 weeks
5-22.76644 35.27349 (5*2π)/47795 weeks
6-25.25789 15.64568 (6*2π)/47780 weeks
7-14.77443 -.71668 (7*2π)/47768 weeks
8-3.50317 -4.05947 (8*2π)/47760 weeks
93.86208 -2.6524 (9*2π)/47753 weeks
109.73343 .4324 (10*2π)/47748 weeks
118.35469 6.62783 (11*2π)/47743 weeks
129.96643 7.65465 (12*2π)/47740 weeks
135.89895 9.95747 (13*2π)/47737 weeks
144.84221 8.34195 (14*2π)/47734 weeks
155.18818 9.87148 (15*2π)/47732 weeks
163.74943 10.76935 (16*2π)/47730 weeks
172.8323 10.87553 (17*2π)/47728 weeks
18.17267 10.65078 (18*2π)/47727 weeks
19-1.75055 9.98915 (19*2π)/47725 weeks
20-5.02077 7.4114 (20*2π)/47724 weeks
21-4.28538 3.39966 (21*2π)/47723 weeks
22-1.62447 .4858 (22*2π)/47722 weeks
232.77337 -.97027 (23*2π)/47721 weeks
245.46551 .4707 (24*2π)/47720 weeks
258.42782 3.11421 (25*2π)/47719 weeks
268.06686 7.56463 (26*2π)/47718 weeks
276.05234 10.96612 (27*2π)/47718 weeks
282.22723 13.43181 (28*2π)/47717 weeks
29-3.0641 13.31877 (29*2π)/47716 weeks
30-6.05994 9.03844 (30*2π)/47716 weeks
31-7.03534 5.70756 (31*2π)/47715 weeks
32-5.47147 1.83425 (32*2π)/47715 weeks
33-3.82503 .9971 (33*2π)/47714 weeks
34-2.32357 -.10434 (34*2π)/47714 weeks
35.07736 -.74223 (35*2π)/47714 weeks
361.7 1.80024 (36*2π)/47713 weeks
37.71421 2.30502 (37*2π)/47713 weeks
38.79125 3.08955 (38*2π)/47713 weeks
39-.47713 3.46743 (39*2π)/47712 weeks
40-.37548 2.91482 (40*2π)/47712 weeks
41-.8548 2.6208 (41*2π)/47712 weeks
42-1.10127 1.69699 (42*2π)/47711 weeks
43-1.20937 1.75739 (43*2π)/47711 weeks
44-.47524 .72955 (44*2π)/47711 weeks
45-.09999 1.32699 (45*2π)/47711 weeks
46-.28549 1.12267 (46*2π)/47710 weeks
47.1064 .69645 (47*2π)/47710 weeks
48.15862 .86509 (48*2π)/47710 weeks
49.91538 -.08975 (49*2π)/47710 weeks
501.27451 .88231 (50*2π)/47710 weeks
511.6503 1.41637 (51*2π)/4779 weeks
521.37666 1.97475 (52*2π)/4779 weeks
53.89082 2.75445 (53*2π)/4779 weeks
54-.33151 2.00564 (54*2π)/4779 weeks
55-.04522 1.32632 (55*2π)/4779 weeks
56-.06169 .85145 (56*2π)/4779 weeks
57.73879 .57835 (57*2π)/4778 weeks
581.20511 1.60763 (58*2π)/4778 weeks
59.92697 1.63751 (59*2π)/4778 weeks
60.63597 2.7896 (60*2π)/4778 weeks
61-1.30934 2.55051 (61*2π)/4778 weeks
62-2.01282 .99645 (62*2π)/4778 weeks
63-1.6151 -.65191 (63*2π)/4778 weeks
64-.18496 -1.92983 (64*2π)/4777 weeks
651.363 -1.81557 (65*2π)/4777 weeks
662.14321 -.79075 (66*2π)/4777 weeks
672.98923 -.77616 (67*2π)/4777 weeks
683.99946 1.01398 (68*2π)/4777 weeks
692.89544 2.53724 (69*2π)/4777 weeks
702.33113 3.17304 (70*2π)/4777 weeks
71.34592 3.83299 (71*2π)/4777 weeks
72-.7484 2.62635 (72*2π)/4777 weeks
73-1.31695 1.82203 (73*2π)/4777 weeks
74-1.86602 .19452 (74*2π)/4776 weeks
75-.90574 -1.08586 (75*2π)/4776 weeks
76.32512 -1.94541 (76*2π)/4776 weeks
771.83723 -1.71887 (77*2π)/4776 weeks
782.98597 -.55825 (78*2π)/4776 weeks
793.0386 .64441 (79*2π)/4776 weeks
802.60593 1.67622 (80*2π)/4776 weeks
811.75258 1.8538 (81*2π)/4776 weeks
821.58989 1.45561 (82*2π)/4776 weeks
831.39962 2.03356 (83*2π)/4776 weeks
84.862 1.89473 (84*2π)/4776 weeks
85.32711 1.91285 (85*2π)/4776 weeks
86-.31948 1.35567 (86*2π)/4776 weeks
87-.51426 .64744 (87*2π)/4775 weeks
88-.27838 .04048 (88*2π)/4775 weeks
89-.00395 -.72315 (89*2π)/4775 weeks
90.98673 -1.24136 (90*2π)/4775 weeks
911.9522 -1.31082 (91*2π)/4775 weeks
923.20549 -.91955 (92*2π)/4775 weeks
933.80934 .25223 (93*2π)/4775 weeks
944.06549 1.62863 (94*2π)/4775 weeks
953.32706 2.97052 (95*2π)/4775 weeks
962.15438 3.87924 (96*2π)/4775 weeks
97.52467 3.9035 (97*2π)/4775 weeks
98-.62923 3.13201 (98*2π)/4775 weeks
99-1.65447 2.08345 (99*2π)/4775 weeks
100-1.7269 .21394 (100*2π)/4775 weeks
101-.76706 -.92868 (101*2π)/4775 weeks
102.50407 -1.36065 (102*2π)/4775 weeks
1031.67653 -1.32069 (103*2π)/4775 weeks
1042.93607 -.59453 (104*2π)/4775 weeks
1053.45181 .51757 (105*2π)/4775 weeks
1063.40261 1.97549 (106*2π)/4775 weeks
1072.26379 3.24806 (107*2π)/4774 weeks
108.74076 3.15831 (108*2π)/4774 weeks
109-.33383 2.78424 (109*2π)/4774 weeks
110-.94672 1.49614 (110*2π)/4774 weeks
111-.39267 .5462 (111*2π)/4774 weeks
112.15113 .08692 (112*2π)/4774 weeks
113.79721 .01224 (113*2π)/4774 weeks
1141.43048 .19317 (114*2π)/4774 weeks
1151.90224 .78103 (115*2π)/4774 weeks
1161.73742 1.65358 (116*2π)/4774 weeks
117.94249 2.29453 (117*2π)/4774 weeks
118.10035 2.38923 (118*2π)/4774 weeks
119-.81938 1.67336 (119*2π)/4774 weeks
120-.63589 .58853 (120*2π)/4774 weeks
121-.20141 .32549 (121*2π)/4774 weeks
122-.11238 .07034 (122*2π)/4774 weeks
123.31365 .07655 (123*2π)/4774 weeks
124.20291 .02253 (124*2π)/4774 weeks
125.60886 -.34578 (125*2π)/4774 weeks
1261.23238 -.02684 (126*2π)/4774 weeks
1271.4145 .18486 (127*2π)/4774 weeks
1281.74121 .7188 (128*2π)/4774 weeks
1291.18326 1.38651 (129*2π)/4774 weeks
130.73564 1.5165 (130*2π)/4774 weeks
131.04298 1.67773 (131*2π)/4774 weeks
132-.64508 1.04352 (132*2π)/4774 weeks
133-.58958 .49779 (133*2π)/4774 weeks
134-.64276 -.1191 (134*2π)/4774 weeks
135-.29198 -.5883 (135*2π)/4774 weeks
136.12289 -1.04275 (136*2π)/4774 weeks
137.56392 -1.37522 (137*2π)/4773 weeks
1381.75816 -1.32661 (138*2π)/4773 weeks
1392.04095 -.68168 (139*2π)/4773 weeks
1402.56175 -.19753 (140*2π)/4773 weeks
1412.64247 .66435 (141*2π)/4773 weeks
1422.36317 1.57269 (142*2π)/4773 weeks
1431.43115 2.11069 (143*2π)/4773 weeks
144.54515 2.23165 (144*2π)/4773 weeks
145-.36832 1.71607 (145*2π)/4773 weeks
146-.96729 .7834 (146*2π)/4773 weeks
147-.798 -.18656 (147*2π)/4773 weeks
148-.21212 -.80799 (148*2π)/4773 weeks
149.28861 -1.18306 (149*2π)/4773 weeks
1501.15616 -1.19597 (150*2π)/4773 weeks
1511.66993 -.95352 (151*2π)/4773 weeks
1522.2287 -.6119 (152*2π)/4773 weeks
1532.5312 -.01504 (153*2π)/4773 weeks
1542.58098 .72768 (154*2π)/4773 weeks
1552.28694 1.57203 (155*2π)/4773 weeks
1561.4299 1.99455 (156*2π)/4773 weeks
157.52805 1.91489 (157*2π)/4773 weeks
158-.05906 1.47242 (158*2π)/4773 weeks
159-.214 .76537 (159*2π)/4773 weeks
160-.3477 -.03322 (160*2π)/4773 weeks
161.32852 -.49821 (161*2π)/4773 weeks
162.8208 -.72313 (162*2π)/4773 weeks
1631.71607 -.51439 (163*2π)/4773 weeks
1642.05545 .17267 (164*2π)/4773 weeks
1652.0888 .75486 (165*2π)/4773 weeks
1661.7691 1.25286 (166*2π)/4773 weeks
1671.24487 1.64453 (167*2π)/4773 weeks
168.86749 1.7605 (168*2π)/4773 weeks
169.15612 1.77547 (169*2π)/4773 weeks
170-.45553 .95898 (170*2π)/4773 weeks
171-.34394 .46139 (171*2π)/4773 weeks
172-.25792 .00215 (172*2π)/4773 weeks
173.17264 -.26171 (173*2π)/4773 weeks
174.48506 -.12149 (174*2π)/4773 weeks
175.70476 -.53412 (175*2π)/4773 weeks
1761.29902 -.08867 (176*2π)/4773 weeks
1771.03361 .02782 (177*2π)/4773 weeks
1781.52846 .24233 (178*2π)/4773 weeks
1791.44812 .76741 (179*2π)/4773 weeks
1801.09073 1.26562 (180*2π)/4773 weeks
181.41587 1.41925 (181*2π)/4773 weeks
182-.30306 .92847 (182*2π)/4773 weeks
183-.32991 .32642 (183*2π)/4773 weeks
184-.24142 -.16277 (184*2π)/4773 weeks
185.02105 -.65993 (185*2π)/4773 weeks
186.87577 -.64268 (186*2π)/4773 weeks
1871.24034 -.56672 (187*2π)/4773 weeks
1881.62917 .14613 (188*2π)/4773 weeks
1891.10094 .75196 (189*2π)/4773 weeks
190.56814 .84623 (190*2π)/4773 weeks
191.12015 .46966 (191*2π)/4772 weeks
192.22238 .00908 (192*2π)/4772 weeks
193.25829 -.36187 (193*2π)/4772 weeks
194.69497 -.65762 (194*2π)/4772 weeks
1951.36992 -.43112 (195*2π)/4772 weeks
1961.48774 .15175 (196*2π)/4772 weeks
1971.45561 .68814 (197*2π)/4772 weeks
198.84979 1.14591 (198*2π)/4772 weeks
199.34796 .89439 (199*2π)/4772 weeks
200-.16804 .70226 (200*2π)/4772 weeks
201-.55532 .11802 (201*2π)/4772 weeks
202-.43996 -.62675 (202*2π)/4772 weeks
203.0586 -1.13153 (203*2π)/4772 weeks
204.75668 -1.4352 (204*2π)/4772 weeks
2051.50792 -1.24982 (205*2π)/4772 weeks
2062.07106 -.73974 (206*2π)/4772 weeks
2072.33453 .0257 (207*2π)/4772 weeks
2081.99966 1.08673 (208*2π)/4772 weeks
2091.20789 1.37439 (209*2π)/4772 weeks
210.63735 1.63851 (210*2π)/4772 weeks
211-.34637 1.13684 (211*2π)/4772 weeks
212-.73047 .60417 (212*2π)/4772 weeks
213-1.18751 -.1699 (213*2π)/4772 weeks
214-1.00528 -1.35529 (214*2π)/4772 weeks
215-.02209 -2.05657 (215*2π)/4772 weeks
216.95908 -2.40253 (216*2π)/4772 weeks
2172.1212 -2.16373 (217*2π)/4772 weeks
2182.92452 -1.23785 (218*2π)/4772 weeks
2193.12978 -.45574 (219*2π)/4772 weeks
2203.23181 .47435 (220*2π)/4772 weeks
2212.79757 1.52465 (221*2π)/4772 weeks
2222.08406 2.34392 (222*2π)/4772 weeks
223.59689 2.77444 (223*2π)/4772 weeks
224-.62775 2.07179 (224*2π)/4772 weeks
225-1.34762 1.08396 (225*2π)/4772 weeks
226-1.74889 -.20086 (226*2π)/4772 weeks
227-1.18653 -1.70773 (227*2π)/4772 weeks
228.12013 -2.55851 (228*2π)/4772 weeks
2291.51117 -2.42987 (229*2π)/4772 weeks
2302.63413 -1.83573 (230*2π)/4772 weeks
2313.13375 -.68625 (231*2π)/4772 weeks
2323.51799 .27615 (232*2π)/4772 weeks
2333.13526 1.71599 (233*2π)/4772 weeks
2341.91927 2.55672 (234*2π)/4772 weeks
235.61593 2.52686 (235*2π)/4772 weeks
236-.36733 2.22394 (236*2π)/4772 weeks
237-1.00247 1.51522 (237*2π)/4772 weeks
238-1.66473 .65997 (238*2π)/4772 weeks
239-1.66473 -.65997 (239*2π)/4772 weeks
240-1.00247 -1.51522 (240*2π)/4772 weeks
241-.36733 -2.22394 (241*2π)/4772 weeks
242.61593 -2.52686 (242*2π)/4772 weeks
2431.91927 -2.55672 (243*2π)/4772 weeks
2443.13526 -1.71599 (244*2π)/4772 weeks
2453.51799 -.27615 (245*2π)/4772 weeks
2463.13375 .68625 (246*2π)/4772 weeks
2472.63413 1.83573 (247*2π)/4772 weeks
2481.51117 2.42987 (248*2π)/4772 weeks
249.12013 2.55851 (249*2π)/4772 weeks
250-1.18653 1.70773 (250*2π)/4772 weeks
251-1.74889 .20086 (251*2π)/4772 weeks
252-1.34762 -1.08396 (252*2π)/4772 weeks
253-.62775 -2.07179 (253*2π)/4772 weeks
254.59689 -2.77444 (254*2π)/4772 weeks
2552.08406 -2.34392 (255*2π)/4772 weeks
2562.79757 -1.52465 (256*2π)/4772 weeks
2573.23181 -.47435 (257*2π)/4772 weeks
2583.12978 .45574 (258*2π)/4772 weeks
2592.92452 1.23785 (259*2π)/4772 weeks
2602.1212 2.16373 (260*2π)/4772 weeks
261.95908 2.40253 (261*2π)/4772 weeks
262-.02209 2.05657 (262*2π)/4772 weeks
263-1.00528 1.35529 (263*2π)/4772 weeks
264-1.18751 .1699 (264*2π)/4772 weeks
265-.73047 -.60417 (265*2π)/4772 weeks
266-.34637 -1.13684 (266*2π)/4772 weeks
267.63735 -1.63851 (267*2π)/4772 weeks
2681.20789 -1.37439 (268*2π)/4772 weeks
2691.99966 -1.08673 (269*2π)/4772 weeks
2702.33453 -.0257 (270*2π)/4772 weeks
2712.07106 .73974 (271*2π)/4772 weeks
2721.50792 1.24982 (272*2π)/4772 weeks
273.75668 1.4352 (273*2π)/4772 weeks
274.0586 1.13153 (274*2π)/4772 weeks
275-.43996 .62675 (275*2π)/4772 weeks
276-.55532 -.11802 (276*2π)/4772 weeks
277-.16804 -.70226 (277*2π)/4772 weeks
278.34796 -.89439 (278*2π)/4772 weeks
279.84979 -1.14591 (279*2π)/4772 weeks
2801.45561 -.68814 (280*2π)/4772 weeks
2811.48774 -.15175 (281*2π)/4772 weeks
2821.36992 .43112 (282*2π)/4772 weeks
283.69497 .65762 (283*2π)/4772 weeks
284.25829 .36187 (284*2π)/4772 weeks
285.22238 -.00908 (285*2π)/4772 weeks
286.12015 -.46966 (286*2π)/4772 weeks
287.56814 -.84623 (287*2π)/4772 weeks
2881.10094 -.75196 (288*2π)/4772 weeks
2891.62917 -.14613 (289*2π)/4772 weeks
2901.24034 .56672 (290*2π)/4772 weeks
291.87577 .64268 (291*2π)/4772 weeks
292.02105 .65993 (292*2π)/4772 weeks
293-.24142 .16277 (293*2π)/4772 weeks
294-.32991 -.32642 (294*2π)/4772 weeks
295-.30306 -.92847 (295*2π)/4772 weeks
296.41587 -1.41925 (296*2π)/4772 weeks
2971.09073 -1.26562 (297*2π)/4772 weeks
2981.44812 -.76741 (298*2π)/4772 weeks
2991.52846 -.24233 (299*2π)/4772 weeks
3001.03361 -.02782 (300*2π)/4772 weeks
3011.29902 .08867 (301*2π)/4772 weeks
302.70476 .53412 (302*2π)/4772 weeks
303.48506 .12149 (303*2π)/4772 weeks
304.17264 .26171 (304*2π)/4772 weeks
305-.25792 -.00215 (305*2π)/4772 weeks
306-.34394 -.46139 (306*2π)/4772 weeks
307-.45553 -.95898 (307*2π)/4772 weeks
308.15612 -1.77547 (308*2π)/4772 weeks
309.86749 -1.7605 (309*2π)/4772 weeks
3101.24487 -1.64453 (310*2π)/4772 weeks
3111.7691 -1.25286 (311*2π)/4772 weeks
3122.0888 -.75486 (312*2π)/4772 weeks
3132.05545 -.17267 (313*2π)/4772 weeks
3141.71607 .51439 (314*2π)/4772 weeks
315.8208 .72313 (315*2π)/4772 weeks
316.32852 .49821 (316*2π)/4772 weeks
317-.3477 .03322 (317*2π)/4772 weeks
318-.214 -.76537 (318*2π)/4772 weeks
319-.05906 -1.47242 (319*2π)/4771 weeks
320.52805 -1.91489 (320*2π)/4771 weeks
3211.4299 -1.99455 (321*2π)/4771 weeks
3222.28694 -1.57203 (322*2π)/4771 weeks
3232.58098 -.72768 (323*2π)/4771 weeks
3242.5312 .01504 (324*2π)/4771 weeks
3252.2287 .6119 (325*2π)/4771 weeks
3261.66993 .95352 (326*2π)/4771 weeks
3271.15616 1.19597 (327*2π)/4771 weeks
328.28861 1.18306 (328*2π)/4771 weeks
329-.21212 .80799 (329*2π)/4771 weeks
330-.798 .18656 (330*2π)/4771 weeks
331-.96729 -.7834 (331*2π)/4771 weeks
332-.36832 -1.71607 (332*2π)/4771 weeks
333.54515 -2.23165 (333*2π)/4771 weeks
3341.43115 -2.11069 (334*2π)/4771 weeks
3352.36317 -1.57269 (335*2π)/4771 weeks
3362.64247 -.66435 (336*2π)/4771 weeks
3372.56175 .19753 (337*2π)/4771 weeks
3382.04095 .68168 (338*2π)/4771 weeks
3391.75816 1.32661 (339*2π)/4771 weeks
340.56392 1.37522 (340*2π)/4771 weeks
341.12289 1.04275 (341*2π)/4771 weeks
342-.29198 .5883 (342*2π)/4771 weeks
343-.64276 .1191 (343*2π)/4771 weeks
344-.58958 -.49779 (344*2π)/4771 weeks
345-.64508 -1.04352 (345*2π)/4771 weeks
346.04298 -1.67773 (346*2π)/4771 weeks
347.73564 -1.5165 (347*2π)/4771 weeks
3481.18326 -1.38651 (348*2π)/4771 weeks
3491.74121 -.7188 (349*2π)/4771 weeks
3501.4145 -.18486 (350*2π)/4771 weeks
3511.23238 .02684 (351*2π)/4771 weeks
352.60886 .34578 (352*2π)/4771 weeks
353.20291 -.02253 (353*2π)/4771 weeks
354.31365 -.07655 (354*2π)/4771 weeks
355-.11238 -.07034 (355*2π)/4771 weeks
356-.20141 -.32549 (356*2π)/4771 weeks
357-.63589 -.58853 (357*2π)/4771 weeks
358-.81938 -1.67336 (358*2π)/4771 weeks
359.10035 -2.38923 (359*2π)/4771 weeks
360.94249 -2.29453 (360*2π)/4771 weeks
3611.73742 -1.65358 (361*2π)/4771 weeks
3621.90224 -.78103 (362*2π)/4771 weeks
3631.43048 -.19317 (363*2π)/4771 weeks
364.79721 -.01224 (364*2π)/4771 weeks
365.15113 -.08692 (365*2π)/4771 weeks
366-.39267 -.5462 (366*2π)/4771 weeks
367-.94672 -1.49614 (367*2π)/4771 weeks
368-.33383 -2.78424 (368*2π)/4771 weeks
369.74076 -3.15831 (369*2π)/4771 weeks
3702.26379 -3.24806 (370*2π)/4771 weeks
3713.40261 -1.97549 (371*2π)/4771 weeks
3723.45181 -.51757 (372*2π)/4771 weeks
3732.93607 .59453 (373*2π)/4771 weeks
3741.67653 1.32069 (374*2π)/4771 weeks
375.50407 1.36065 (375*2π)/4771 weeks
376-.76706 .92868 (376*2π)/4771 weeks
377-1.7269 -.21394 (377*2π)/4771 weeks
378-1.65447 -2.08345 (378*2π)/4771 weeks
379-.62923 -3.13201 (379*2π)/4771 weeks
380.52467 -3.9035 (380*2π)/4771 weeks
3812.15438 -3.87924 (381*2π)/4771 weeks
3823.32706 -2.97052 (382*2π)/4771 weeks
3834.06549 -1.62863 (383*2π)/4771 weeks
3843.80934 -.25223 (384*2π)/4771 weeks
3853.20549 .91955 (385*2π)/4771 weeks
3861.9522 1.31082 (386*2π)/4771 weeks
387.98673 1.24136 (387*2π)/4771 weeks
388-.00395 .72315 (388*2π)/4771 weeks
389-.27838 -.04048 (389*2π)/4771 weeks
390-.51426 -.64744 (390*2π)/4771 weeks
391-.31948 -1.35567 (391*2π)/4771 weeks
392.32711 -1.91285 (392*2π)/4771 weeks
393.862 -1.89473 (393*2π)/4771 weeks
3941.39962 -2.03356 (394*2π)/4771 weeks
3951.58989 -1.45561 (395*2π)/4771 weeks
3961.75258 -1.8538 (396*2π)/4771 weeks
3972.60593 -1.67622 (397*2π)/4771 weeks
3983.0386 -.64441 (398*2π)/4771 weeks
3992.98597 .55825 (399*2π)/4771 weeks
4001.83723 1.71887 (400*2π)/4771 weeks
401.32512 1.94541 (401*2π)/4771 weeks
402-.90574 1.08586 (402*2π)/4771 weeks
403-1.86602 -.19452 (403*2π)/4771 weeks
404-1.31695 -1.82203 (404*2π)/4771 weeks
405-.7484 -2.62635 (405*2π)/4771 weeks
406.34592 -3.83299 (406*2π)/4771 weeks
4072.33113 -3.17304 (407*2π)/4771 weeks
4082.89544 -2.53724 (408*2π)/4771 weeks
4093.99946 -1.01398 (409*2π)/4771 weeks
4102.98923 .77616 (410*2π)/4771 weeks
4112.14321 .79075 (411*2π)/4771 weeks
4121.363 1.81557 (412*2π)/4771 weeks
413-.18496 1.92983 (413*2π)/4771 weeks
414-1.6151 .65191 (414*2π)/4771 weeks
415-2.01282 -.99645 (415*2π)/4771 weeks
416-1.30934 -2.55051 (416*2π)/4771 weeks
417.63597 -2.7896 (417*2π)/4771 weeks
418.92697 -1.63751 (418*2π)/4771 weeks
4191.20511 -1.60763 (419*2π)/4771 weeks
420.73879 -.57835 (420*2π)/4771 weeks
421-.06169 -.85145 (421*2π)/4771 weeks
422-.04522 -1.32632 (422*2π)/4771 weeks
423-.33151 -2.00564 (423*2π)/4771 weeks
424.89082 -2.75445 (424*2π)/4771 weeks
4251.37666 -1.97475 (425*2π)/4771 weeks
4261.6503 -1.41637 (426*2π)/4771 weeks
4271.27451 -.88231 (427*2π)/4771 weeks
428.91538 .08975 (428*2π)/4771 weeks
429.15862 -.86509 (429*2π)/4771 weeks
430.1064 -.69645 (430*2π)/4771 weeks
431-.28549 -1.12267 (431*2π)/4771 weeks
432-.09999 -1.32699 (432*2π)/4771 weeks
433-.47524 -.72955 (433*2π)/4771 weeks
434-1.20937 -1.75739 (434*2π)/4771 weeks
435-1.10127 -1.69699 (435*2π)/4771 weeks
436-.8548 -2.6208 (436*2π)/4771 weeks
437-.37548 -2.91482 (437*2π)/4771 weeks
438-.47713 -3.46743 (438*2π)/4771 weeks
439.79125 -3.08955 (439*2π)/4771 weeks
440.71421 -2.30502 (440*2π)/4771 weeks
4411.7 -1.80024 (441*2π)/4771 weeks
442.07736 .74223 (442*2π)/4771 weeks
443-2.32357 .10434 (443*2π)/4771 weeks
444-3.82503 -.9971 (444*2π)/4771 weeks
445-5.47147 -1.83425 (445*2π)/4771 weeks
446-7.03534 -5.70756 (446*2π)/4771 weeks
447-6.05994 -9.03844 (447*2π)/4771 weeks
448-3.0641 -13.31877 (448*2π)/4771 weeks
4492.22723 -13.43181 (449*2π)/4771 weeks
4506.05234 -10.96612 (450*2π)/4771 weeks
4518.06686 -7.56463 (451*2π)/4771 weeks
4528.42782 -3.11421 (452*2π)/4771 weeks
4535.46551 -.4707 (453*2π)/4771 weeks
4542.77337 .97027 (454*2π)/4771 weeks
455-1.62447 -.4858 (455*2π)/4771 weeks
456-4.28538 -3.39966 (456*2π)/4771 weeks
457-5.02077 -7.4114 (457*2π)/4771 weeks
458-1.75055 -9.98915 (458*2π)/4771 weeks
459.17267 -10.65078 (459*2π)/4771 weeks
4602.8323 -10.87553 (460*2π)/4771 weeks
4613.74943 -10.76935 (461*2π)/4771 weeks
4625.18818 -9.87148 (462*2π)/4771 weeks
4634.84221 -8.34195 (463*2π)/4771 weeks
4645.89895 -9.95747 (464*2π)/4771 weeks
4659.96643 -7.65465 (465*2π)/4771 weeks
4668.35469 -6.62783 (466*2π)/4771 weeks
4679.73343 -.4324 (467*2π)/4771 weeks
4683.86208 2.6524 (468*2π)/4771 weeks
469-3.50317 4.05947 (469*2π)/4771 weeks
470-14.77443 .71668 (470*2π)/4771 weeks
471-25.25789 -15.64568 (471*2π)/4771 weeks
472-22.76644 -35.27349 (472*2π)/4771 weeks
473-10.28816 -54.03937 (473*2π)/4771 weeks
4747.83082 -69.27956 (474*2π)/4771 weeks
47548.6181 -75.35013 (475*2π)/4771 weeks

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