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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 (13.9492*sine), 17 weeks (12.7269*sine), and 28 weeks (11.5631*sine).

UHPIX (Ultra Short China ProFund Inves) has an average price of 91.72 (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 1/17/2017 for UHPIX (Ultra Short China ProFund Inves), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
091.72182   0 
178.84198 70.70825 (1*2π)/468468 weeks
248.11839 77.40402 (2*2π)/468234 weeks
36.70239 69.29076 (3*2π)/468156 weeks
4-11.79162 53.71509 (4*2π)/468117 weeks
5-23.79962 33.86025 (5*2π)/46894 weeks
6-25.45768 13.38428 (6*2π)/46878 weeks
7-13.26115 -1.60999 (7*2π)/46867 weeks
8-2.1123 -4.09199 (8*2π)/46859 weeks
94.91235 -2.34007 (9*2π)/46852 weeks
1010.81655 1.97409 (10*2π)/46847 weeks
117.94315 6.34824 (11*2π)/46843 weeks
129.66921 9.47261 (12*2π)/46839 weeks
135.61014 9.94512 (13*2π)/46836 weeks
145.70098 8.48452 (14*2π)/46833 weeks
155.03956 10.16247 (15*2π)/46831 weeks
163.25948 10.73124 (16*2π)/46829 weeks
172.06242 11.56313 (17*2π)/46828 weeks
18-.1704 10.63826 (18*2π)/46826 weeks
19-2.57974 9.79329 (19*2π)/46825 weeks
20-4.76785 5.21735 (20*2π)/46823 weeks
21-3.51447 1.39084 (21*2π)/46822 weeks
22-.57731 -1.00432 (22*2π)/46821 weeks
233.89989 -.17151 (23*2π)/46820 weeks
246.77194 1.36913 (24*2π)/46820 weeks
258.80694 5.80422 (25*2π)/46819 weeks
267.49758 9.63374 (26*2π)/46818 weeks
274.5843 12.72688 (27*2π)/46817 weeks
28-.29977 13.94922 (28*2π)/46817 weeks
29-5.61209 11.00207 (29*2π)/46816 weeks
30-6.8003 7.29249 (30*2π)/46816 weeks
31-6.85234 3.05709 (31*2π)/46815 weeks
32-4.32324 1.38996 (32*2π)/46815 weeks
33-3.02158 .20547 (33*2π)/46814 weeks
34-1.08028 -.7261 (34*2π)/46814 weeks
351.7467 .83116 (35*2π)/46813 weeks
36.73607 2.4917 (36*2π)/46813 weeks
37.94047 2.88278 (37*2π)/46813 weeks
38-.00256 3.69826 (38*2π)/46812 weeks
39-.39098 2.78879 (39*2π)/46812 weeks
40-.8784 2.69576 (40*2π)/46812 weeks
41-1.34945 1.9894 (41*2π)/46811 weeks
42-1.04511 1.97627 (42*2π)/46811 weeks
43-.72023 .77241 (43*2π)/46811 weeks
44-.0232 1.29973 (44*2π)/46811 weeks
45-.26342 1.17566 (45*2π)/46810 weeks
46.0329 .68399 (46*2π)/46810 weeks
47.20375 .87697 (47*2π)/46810 weeks
48.74111 -.12508 (48*2π)/46810 weeks
491.29293 .90371 (49*2π)/46810 weeks
501.68163 1.40641 (50*2π)/4689 weeks
511.4041 2.00002 (51*2π)/4689 weeks
52.90434 2.80037 (52*2π)/4689 weeks
53-.34315 2.01419 (53*2π)/4689 weeks
54-.03736 1.34344 (54*2π)/4689 weeks
55-.0238 .81182 (55*2π)/4689 weeks
56.84217 .58489 (56*2π)/4688 weeks
571.13612 1.69243 (57*2π)/4688 weeks
581.00319 1.70942 (58*2π)/4688 weeks
59.40533 2.95346 (59*2π)/4688 weeks
60-1.54714 2.33094 (60*2π)/4688 weeks
61-2.11119 .67785 (61*2π)/4688 weeks
62-1.53367 -.95301 (62*2π)/4688 weeks
63.20337 -1.97306 (63*2π)/4687 weeks
641.7702 -1.69208 (64*2π)/4687 weeks
652.16666 -.80907 (65*2π)/4687 weeks
663.46374 -.50245 (66*2π)/4687 weeks
673.89096 1.68779 (67*2π)/4687 weeks
682.63812 2.65829 (68*2π)/4687 weeks
691.91156 3.70553 (69*2π)/4687 weeks
70-.32911 3.47395 (70*2π)/4687 weeks
71-1.01542 2.39584 (71*2π)/4687 weeks
72-1.73608 1.48795 (72*2π)/4687 weeks
73-1.54789 -.44741 (73*2π)/4686 weeks
74-.51569 -1.43459 (74*2π)/4686 weeks
751.1506 -1.90724 (75*2π)/4686 weeks
762.64395 -1.35502 (76*2π)/4686 weeks
773.19702 .04885 (77*2π)/4686 weeks
783.03034 1.13301 (78*2π)/4686 weeks
792.13661 1.84195 (79*2π)/4686 weeks
801.45494 1.63081 (80*2π)/4686 weeks
811.69411 1.81434 (81*2π)/4686 weeks
82.97043 2.02578 (82*2π)/4686 weeks
83.59917 2.02431 (83*2π)/4686 weeks
84-.13024 1.74397 (84*2π)/4686 weeks
85-.41072 1.00671 (85*2π)/4686 weeks
86-.27138 .20111 (86*2π)/4685 weeks
87-.10435 -.47388 (87*2π)/4685 weeks
88.71502 -1.2589 (88*2π)/4685 weeks
891.69625 -1.39017 (89*2π)/4685 weeks
902.88933 -1.20813 (90*2π)/4685 weeks
913.77758 -.02471 (91*2π)/4685 weeks
924.16119 1.26301 (92*2π)/4685 weeks
933.59779 2.78859 (93*2π)/4685 weeks
942.4967 3.78636 (94*2π)/4685 weeks
95.80453 4.02021 (95*2π)/4685 weeks
96-.52082 3.28725 (96*2π)/4685 weeks
97-1.58116 2.3207 (97*2π)/4685 weeks
98-1.8638 .42024 (98*2π)/4685 weeks
99-.89723 -.85129 (99*2π)/4685 weeks
100.42275 -1.37954 (100*2π)/4685 weeks
1011.63786 -1.36452 (101*2π)/4685 weeks
1022.95729 -.66611 (102*2π)/4685 weeks
1033.50284 .49314 (103*2π)/4685 weeks
1043.46185 2.00698 (104*2π)/4685 weeks
1052.26999 3.31859 (105*2π)/4684 weeks
106.7172 3.19276 (106*2π)/4684 weeks
107-.41674 2.76968 (107*2π)/4684 weeks
108-.96882 1.40015 (108*2π)/4684 weeks
109-.36809 .50956 (109*2π)/4684 weeks
110.22304 .05886 (110*2π)/4684 weeks
111.87767 .02336 (111*2π)/4684 weeks
1121.53491 .28383 (112*2π)/4684 weeks
1131.98431 .98657 (113*2π)/4684 weeks
1141.7209 1.84973 (114*2π)/4684 weeks
115.79953 2.31971 (115*2π)/4684 weeks
116-.17755 2.33299 (116*2π)/4684 weeks
117-.95799 1.37539 (117*2π)/4684 weeks
118-.5217 .49485 (118*2π)/4684 weeks
119-.16515 .34731 (119*2π)/4684 weeks
120.06594 -.01563 (120*2π)/4684 weeks
121.33992 .13822 (121*2π)/4684 weeks
122.29287 -.17411 (122*2π)/4684 weeks
123.90709 -.39885 (123*2π)/4684 weeks
1241.23348 .07054 (124*2π)/4684 weeks
1251.53905 .34019 (125*2π)/4684 weeks
1261.63148 1.20027 (126*2π)/4684 weeks
1271.00151 1.49072 (127*2π)/4684 weeks
128.54984 1.67698 (128*2π)/4684 weeks
129-.34289 1.47873 (129*2π)/4684 weeks
130-.60513 .63675 (130*2π)/4684 weeks
131-.69652 .19129 (131*2π)/4684 weeks
132-.47037 -.4745 (132*2π)/4684 weeks
133-.16298 -.90027 (133*2π)/4684 weeks
134.35231 -1.18689 (134*2π)/4683 weeks
1351.26382 -1.61022 (135*2π)/4683 weeks
1362.01342 -.82348 (136*2π)/4683 weeks
1372.40181 -.48526 (137*2π)/4683 weeks
1382.69653 .38892 (138*2π)/4683 weeks
1392.55943 1.28307 (139*2π)/4683 weeks
1401.75584 2.0897 (140*2π)/4683 weeks
141.86168 2.25017 (141*2π)/4683 weeks
142-.20471 1.91325 (142*2π)/4683 weeks
143-.92756 1.11363 (143*2π)/4683 weeks
144-.8894 .02679 (144*2π)/4683 weeks
145-.35468 -.74112 (145*2π)/4683 weeks
146.16985 -1.10228 (146*2π)/4683 weeks
1471.06365 -1.27472 (147*2π)/4683 weeks
1481.62708 -1.01699 (148*2π)/4683 weeks
1492.19168 -.71203 (149*2π)/4683 weeks
1502.53609 -.09385 (150*2π)/4683 weeks
1512.62941 .6725 (151*2π)/4683 weeks
1522.37694 1.53709 (152*2π)/4683 weeks
1531.50026 2.02418 (153*2π)/4683 weeks
154.56568 1.97055 (154*2π)/4683 weeks
155-.05018 1.51155 (155*2π)/4683 weeks
156-.22201 .77794 (156*2π)/4683 weeks
157-.34767 -.05652 (157*2π)/4683 weeks
158.35159 -.51723 (158*2π)/4683 weeks
159.87583 -.7603 (159*2π)/4683 weeks
1601.7869 -.47716 (160*2π)/4683 weeks
1612.087 .23747 (161*2π)/4683 weeks
1622.10312 .85998 (162*2π)/4683 weeks
1631.76909 1.33919 (163*2π)/4683 weeks
1641.17632 1.66245 (164*2π)/4683 weeks
165.75616 1.83396 (165*2π)/4683 weeks
166-.04117 1.76694 (166*2π)/4683 weeks
167-.41106 .83853 (167*2π)/4683 weeks
168-.31045 .38052 (168*2π)/4683 weeks
169-.13545 -.14127 (169*2π)/4683 weeks
170.30723 -.32874 (170*2π)/4683 weeks
171.39889 -.18901 (171*2π)/4683 weeks
172.97252 -.52051 (172*2π)/4683 weeks
1731.23719 .11963 (173*2π)/4683 weeks
1741.21842 -.05866 (174*2π)/4683 weeks
1751.55338 .48146 (175*2π)/4683 weeks
1761.39895 .98207 (176*2π)/4683 weeks
177.84413 1.38964 (177*2π)/4683 weeks
178.04886 1.35423 (178*2π)/4683 weeks
179-.35836 .61583 (179*2π)/4683 weeks
180-.32602 .10881 (180*2π)/4683 weeks
181-.13104 -.37595 (181*2π)/4683 weeks
182.49524 -.90898 (182*2π)/4683 weeks
183.9306 -.58498 (183*2π)/4683 weeks
1841.55199 -.2311 (184*2π)/4683 weeks
1851.42866 .65471 (185*2π)/4683 weeks
186.85927 .85187 (186*2π)/4683 weeks
187.26873 .66113 (187*2π)/4683 weeks
188.11812 .09087 (188*2π)/4682 weeks
189.17083 -.16618 (189*2π)/4682 weeks
190.51765 -.56308 (190*2π)/4682 weeks
1911.20892 -.59458 (191*2π)/4682 weeks
1921.54621 .01451 (192*2π)/4682 weeks
1931.54918 .49396 (193*2π)/4682 weeks
1941.09396 1.08255 (194*2π)/4682 weeks
195.38615 .93365 (195*2π)/4682 weeks
196-.07634 .82017 (196*2π)/4682 weeks
197-.52364 .30273 (197*2π)/4682 weeks
198-.50433 -.4899 (198*2π)/4682 weeks
199-.02964 -1.08716 (199*2π)/4682 weeks
200.63252 -1.45105 (200*2π)/4682 weeks
2011.43316 -1.31943 (201*2π)/4682 weeks
2022.04459 -.82473 (202*2π)/4682 weeks
2032.35415 -.04593 (203*2π)/4682 weeks
2042.1098 1.0569 (204*2π)/4682 weeks
2051.27184 1.40283 (205*2π)/4682 weeks
206.69459 1.65531 (206*2π)/4682 weeks
207-.34653 1.1724 (207*2π)/4682 weeks
208-.74503 .61579 (208*2π)/4682 weeks
209-1.2152 -.19757 (209*2π)/4682 weeks
210-1.00133 -1.43267 (210*2π)/4682 weeks
211.01877 -2.1161 (211*2π)/4682 weeks
2121.06577 -2.45053 (212*2π)/4682 weeks
2132.2667 -2.14286 (213*2π)/4682 weeks
2143.00511 -1.13763 (214*2π)/4682 weeks
2153.22887 -.34214 (215*2π)/4682 weeks
2163.29048 .65317 (216*2π)/4682 weeks
2172.7393 1.67378 (217*2π)/4682 weeks
2181.89292 2.54044 (218*2π)/4682 weeks
219.24593 2.72027 (219*2π)/4682 weeks
220-.87395 1.91193 (220*2π)/4682 weeks
221-1.52124 .84965 (221*2π)/4682 weeks
222-1.75595 -.63138 (222*2π)/4682 weeks
223-.88164 -2.04181 (223*2π)/4682 weeks
224.62803 -2.64277 (224*2π)/4682 weeks
2251.94058 -2.3293 (225*2π)/4682 weeks
2263.02837 -1.48222 (226*2π)/4682 weeks
2273.28415 -.45904 (227*2π)/4682 weeks
2283.54461 .85851 (228*2π)/4682 weeks
2292.72622 2.22139 (229*2π)/4682 weeks
2301.35125 2.73707 (230*2π)/4682 weeks
231.24676 2.46896 (231*2π)/4682 weeks
232-.7482 1.88083 (232*2π)/4682 weeks
233-1.36714 1.22189 (233*2π)/4682 weeks
234-1.82645   (234*2π)/4682 weeks
235-1.36714 -1.22189 (235*2π)/4682 weeks
236-.7482 -1.88083 (236*2π)/4682 weeks
237.24676 -2.46896 (237*2π)/4682 weeks
2381.35125 -2.73707 (238*2π)/4682 weeks
2392.72622 -2.22139 (239*2π)/4682 weeks
2403.54461 -.85851 (240*2π)/4682 weeks
2413.28415 .45904 (241*2π)/4682 weeks
2423.02837 1.48222 (242*2π)/4682 weeks
2431.94058 2.3293 (243*2π)/4682 weeks
244.62803 2.64277 (244*2π)/4682 weeks
245-.88164 2.04181 (245*2π)/4682 weeks
246-1.75595 .63138 (246*2π)/4682 weeks
247-1.52124 -.84965 (247*2π)/4682 weeks
248-.87395 -1.91193 (248*2π)/4682 weeks
249.24593 -2.72027 (249*2π)/4682 weeks
2501.89292 -2.54044 (250*2π)/4682 weeks
2512.7393 -1.67378 (251*2π)/4682 weeks
2523.29048 -.65317 (252*2π)/4682 weeks
2533.22887 .34214 (253*2π)/4682 weeks
2543.00511 1.13763 (254*2π)/4682 weeks
2552.2667 2.14286 (255*2π)/4682 weeks
2561.06577 2.45053 (256*2π)/4682 weeks
257.01877 2.1161 (257*2π)/4682 weeks
258-1.00133 1.43267 (258*2π)/4682 weeks
259-1.2152 .19757 (259*2π)/4682 weeks
260-.74503 -.61579 (260*2π)/4682 weeks
261-.34653 -1.1724 (261*2π)/4682 weeks
262.69459 -1.65531 (262*2π)/4682 weeks
2631.27184 -1.40283 (263*2π)/4682 weeks
2642.1098 -1.0569 (264*2π)/4682 weeks
2652.35415 .04593 (265*2π)/4682 weeks
2662.04459 .82473 (266*2π)/4682 weeks
2671.43316 1.31943 (267*2π)/4682 weeks
268.63252 1.45105 (268*2π)/4682 weeks
269-.02964 1.08716 (269*2π)/4682 weeks
270-.50433 .4899 (270*2π)/4682 weeks
271-.52364 -.30273 (271*2π)/4682 weeks
272-.07634 -.82017 (272*2π)/4682 weeks
273.38615 -.93365 (273*2π)/4682 weeks
2741.09396 -1.08255 (274*2π)/4682 weeks
2751.54918 -.49396 (275*2π)/4682 weeks
2761.54621 -.01451 (276*2π)/4682 weeks
2771.20892 .59458 (277*2π)/4682 weeks
278.51765 .56308 (278*2π)/4682 weeks
279.17083 .16618 (279*2π)/4682 weeks
280.11812 -.09087 (280*2π)/4682 weeks
281.26873 -.66113 (281*2π)/4682 weeks
282.85927 -.85187 (282*2π)/4682 weeks
2831.42866 -.65471 (283*2π)/4682 weeks
2841.55199 .2311 (284*2π)/4682 weeks
285.9306 .58498 (285*2π)/4682 weeks
286.49524 .90898 (286*2π)/4682 weeks
287-.13104 .37595 (287*2π)/4682 weeks
288-.32602 -.10881 (288*2π)/4682 weeks
289-.35836 -.61583 (289*2π)/4682 weeks
290.04886 -1.35423 (290*2π)/4682 weeks
291.84413 -1.38964 (291*2π)/4682 weeks
2921.39895 -.98207 (292*2π)/4682 weeks
2931.55338 -.48146 (293*2π)/4682 weeks
2941.21842 .05866 (294*2π)/4682 weeks
2951.23719 -.11963 (295*2π)/4682 weeks
296.97252 .52051 (296*2π)/4682 weeks
297.39889 .18901 (297*2π)/4682 weeks
298.30723 .32874 (298*2π)/4682 weeks
299-.13545 .14127 (299*2π)/4682 weeks
300-.31045 -.38052 (300*2π)/4682 weeks
301-.41106 -.83853 (301*2π)/4682 weeks
302-.04117 -1.76694 (302*2π)/4682 weeks
303.75616 -1.83396 (303*2π)/4682 weeks
3041.17632 -1.66245 (304*2π)/4682 weeks
3051.76909 -1.33919 (305*2π)/4682 weeks
3062.10312 -.85998 (306*2π)/4682 weeks
3072.087 -.23747 (307*2π)/4682 weeks
3081.7869 .47716 (308*2π)/4682 weeks
309.87583 .7603 (309*2π)/4682 weeks
310.35159 .51723 (310*2π)/4682 weeks
311-.34767 .05652 (311*2π)/4682 weeks
312-.22201 -.77794 (312*2π)/4682 weeks
313-.05018 -1.51155 (313*2π)/4681 weeks
314.56568 -1.97055 (314*2π)/4681 weeks
3151.50026 -2.02418 (315*2π)/4681 weeks
3162.37694 -1.53709 (316*2π)/4681 weeks
3172.62941 -.6725 (317*2π)/4681 weeks
3182.53609 .09385 (318*2π)/4681 weeks
3192.19168 .71203 (319*2π)/4681 weeks
3201.62708 1.01699 (320*2π)/4681 weeks
3211.06365 1.27472 (321*2π)/4681 weeks
322.16985 1.10228 (322*2π)/4681 weeks
323-.35468 .74112 (323*2π)/4681 weeks
324-.8894 -.02679 (324*2π)/4681 weeks
325-.92756 -1.11363 (325*2π)/4681 weeks
326-.20471 -1.91325 (326*2π)/4681 weeks
327.86168 -2.25017 (327*2π)/4681 weeks
3281.75584 -2.0897 (328*2π)/4681 weeks
3292.55943 -1.28307 (329*2π)/4681 weeks
3302.69653 -.38892 (330*2π)/4681 weeks
3312.40181 .48526 (331*2π)/4681 weeks
3322.01342 .82348 (332*2π)/4681 weeks
3331.26382 1.61022 (333*2π)/4681 weeks
334.35231 1.18689 (334*2π)/4681 weeks
335-.16298 .90027 (335*2π)/4681 weeks
336-.47037 .4745 (336*2π)/4681 weeks
337-.69652 -.19129 (337*2π)/4681 weeks
338-.60513 -.63675 (338*2π)/4681 weeks
339-.34289 -1.47873 (339*2π)/4681 weeks
340.54984 -1.67698 (340*2π)/4681 weeks
3411.00151 -1.49072 (341*2π)/4681 weeks
3421.63148 -1.20027 (342*2π)/4681 weeks
3431.53905 -.34019 (343*2π)/4681 weeks
3441.23348 -.07054 (344*2π)/4681 weeks
345.90709 .39885 (345*2π)/4681 weeks
346.29287 .17411 (346*2π)/4681 weeks
347.33992 -.13822 (347*2π)/4681 weeks
348.06594 .01563 (348*2π)/4681 weeks
349-.16515 -.34731 (349*2π)/4681 weeks
350-.5217 -.49485 (350*2π)/4681 weeks
351-.95799 -1.37539 (351*2π)/4681 weeks
352-.17755 -2.33299 (352*2π)/4681 weeks
353.79953 -2.31971 (353*2π)/4681 weeks
3541.7209 -1.84973 (354*2π)/4681 weeks
3551.98431 -.98657 (355*2π)/4681 weeks
3561.53491 -.28383 (356*2π)/4681 weeks
357.87767 -.02336 (357*2π)/4681 weeks
358.22304 -.05886 (358*2π)/4681 weeks
359-.36809 -.50956 (359*2π)/4681 weeks
360-.96882 -1.40015 (360*2π)/4681 weeks
361-.41674 -2.76968 (361*2π)/4681 weeks
362.7172 -3.19276 (362*2π)/4681 weeks
3632.26999 -3.31859 (363*2π)/4681 weeks
3643.46185 -2.00698 (364*2π)/4681 weeks
3653.50284 -.49314 (365*2π)/4681 weeks
3662.95729 .66611 (366*2π)/4681 weeks
3671.63786 1.36452 (367*2π)/4681 weeks
368.42275 1.37954 (368*2π)/4681 weeks
369-.89723 .85129 (369*2π)/4681 weeks
370-1.8638 -.42024 (370*2π)/4681 weeks
371-1.58116 -2.3207 (371*2π)/4681 weeks
372-.52082 -3.28725 (372*2π)/4681 weeks
373.80453 -4.02021 (373*2π)/4681 weeks
3742.4967 -3.78636 (374*2π)/4681 weeks
3753.59779 -2.78859 (375*2π)/4681 weeks
3764.16119 -1.26301 (376*2π)/4681 weeks
3773.77758 .02471 (377*2π)/4681 weeks
3782.88933 1.20813 (378*2π)/4681 weeks
3791.69625 1.39017 (379*2π)/4681 weeks
380.71502 1.2589 (380*2π)/4681 weeks
381-.10435 .47388 (381*2π)/4681 weeks
382-.27138 -.20111 (382*2π)/4681 weeks
383-.41072 -1.00671 (383*2π)/4681 weeks
384-.13024 -1.74397 (384*2π)/4681 weeks
385.59917 -2.02431 (385*2π)/4681 weeks
386.97043 -2.02578 (386*2π)/4681 weeks
3871.69411 -1.81434 (387*2π)/4681 weeks
3881.45494 -1.63081 (388*2π)/4681 weeks
3892.13661 -1.84195 (389*2π)/4681 weeks
3903.03034 -1.13301 (390*2π)/4681 weeks
3913.19702 -.04885 (391*2π)/4681 weeks
3922.64395 1.35502 (392*2π)/4681 weeks
3931.1506 1.90724 (393*2π)/4681 weeks
394-.51569 1.43459 (394*2π)/4681 weeks
395-1.54789 .44741 (395*2π)/4681 weeks
396-1.73608 -1.48795 (396*2π)/4681 weeks
397-1.01542 -2.39584 (397*2π)/4681 weeks
398-.32911 -3.47395 (398*2π)/4681 weeks
3991.91156 -3.70553 (399*2π)/4681 weeks
4002.63812 -2.65829 (400*2π)/4681 weeks
4013.89096 -1.68779 (401*2π)/4681 weeks
4023.46374 .50245 (402*2π)/4681 weeks
4032.16666 .80907 (403*2π)/4681 weeks
4041.7702 1.69208 (404*2π)/4681 weeks
405.20337 1.97306 (405*2π)/4681 weeks
406-1.53367 .95301 (406*2π)/4681 weeks
407-2.11119 -.67785 (407*2π)/4681 weeks
408-1.54714 -2.33094 (408*2π)/4681 weeks
409.40533 -2.95346 (409*2π)/4681 weeks
4101.00319 -1.70942 (410*2π)/4681 weeks
4111.13612 -1.69243 (411*2π)/4681 weeks
412.84217 -.58489 (412*2π)/4681 weeks
413-.0238 -.81182 (413*2π)/4681 weeks
414-.03736 -1.34344 (414*2π)/4681 weeks
415-.34315 -2.01419 (415*2π)/4681 weeks
416.90434 -2.80037 (416*2π)/4681 weeks
4171.4041 -2.00002 (417*2π)/4681 weeks
4181.68163 -1.40641 (418*2π)/4681 weeks
4191.29293 -.90371 (419*2π)/4681 weeks
420.74111 .12508 (420*2π)/4681 weeks
421.20375 -.87697 (421*2π)/4681 weeks
422.0329 -.68399 (422*2π)/4681 weeks
423-.26342 -1.17566 (423*2π)/4681 weeks
424-.0232 -1.29973 (424*2π)/4681 weeks
425-.72023 -.77241 (425*2π)/4681 weeks
426-1.04511 -1.97627 (426*2π)/4681 weeks
427-1.34945 -1.9894 (427*2π)/4681 weeks
428-.8784 -2.69576 (428*2π)/4681 weeks
429-.39098 -2.78879 (429*2π)/4681 weeks
430-.00256 -3.69826 (430*2π)/4681 weeks
431.94047 -2.88278 (431*2π)/4681 weeks
432.73607 -2.4917 (432*2π)/4681 weeks
4331.7467 -.83116 (433*2π)/4681 weeks
434-1.08028 .7261 (434*2π)/4681 weeks
435-3.02158 -.20547 (435*2π)/4681 weeks
436-4.32324 -1.38996 (436*2π)/4681 weeks
437-6.85234 -3.05709 (437*2π)/4681 weeks
438-6.8003 -7.29249 (438*2π)/4681 weeks
439-5.61209 -11.00207 (439*2π)/4681 weeks
440-.29977 -13.94922 (440*2π)/4681 weeks
4414.5843 -12.72688 (441*2π)/4681 weeks
4427.49758 -9.63374 (442*2π)/4681 weeks
4438.80694 -5.80422 (443*2π)/4681 weeks
4446.77194 -1.36913 (444*2π)/4681 weeks
4453.89989 .17151 (445*2π)/4681 weeks
446-.57731 1.00432 (446*2π)/4681 weeks
447-3.51447 -1.39084 (447*2π)/4681 weeks
448-4.76785 -5.21735 (448*2π)/4681 weeks
449-2.57974 -9.79329 (449*2π)/4681 weeks
450-.1704 -10.63826 (450*2π)/4681 weeks
4512.06242 -11.56313 (451*2π)/4681 weeks
4523.25948 -10.73124 (452*2π)/4681 weeks
4535.03956 -10.16247 (453*2π)/4681 weeks
4545.70098 -8.48452 (454*2π)/4681 weeks
4555.61014 -9.94512 (455*2π)/4681 weeks
4569.66921 -9.47261 (456*2π)/4681 weeks
4577.94315 -6.34824 (457*2π)/4681 weeks
45810.81655 -1.97409 (458*2π)/4681 weeks
4594.91235 2.34007 (459*2π)/4681 weeks
460-2.1123 4.09199 (460*2π)/4681 weeks
461-13.26115 1.60999 (461*2π)/4681 weeks
462-25.45768 -13.38428 (462*2π)/4681 weeks
463-23.79962 -33.86025 (463*2π)/4681 weeks
464-11.79162 -53.71509 (464*2π)/4681 weeks
4656.70239 -69.29076 (465*2π)/4681 weeks
46648.11839 -77.40402 (466*2π)/4681 weeks

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