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Fourier Analysis of ERY (Direxion Daily Energy Bear 3X ETF)


ERY (Direxion Daily Energy Bear 3X ETF) appears to have interesting cyclic behaviour every 45 weeks (227.3929*sine), 50 weeks (217.1444*sine), and 16 weeks (84.0786*cosine).

ERY (Direxion Daily Energy Bear 3X ETF) has an average price of 735.31 (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 11/19/2008 to 5/29/2018 for ERY (Direxion Daily Energy Bear 3X ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0735.3096   0 
1918.2623 570.4028 (1*2π)/498498 weeks
2513.1114 591.7476 (2*2π)/498249 weeks
3334.3559 517.409 (3*2π)/498166 weeks
4251.1891 391.7815 (4*2π)/498125 weeks
5238.0953 350.9901 (5*2π)/498100 weeks
6210.9767 383.3527 (6*2π)/49883 weeks
7133.0147 398.8207 (7*2π)/49871 weeks
844.99054 351.4551 (8*2π)/49862 weeks
910.4788 255.6639 (9*2π)/49855 weeks
1040.41556 217.1444 (10*2π)/49850 weeks
1149.75324 227.3929 (11*2π)/49845 weeks
1212.66321 211.0709 (12*2π)/49842 weeks
135.40729 182.2737 (13*2π)/49838 weeks
14.0886 167.4033 (14*2π)/49836 weeks
15-14.32798 145.2166 (15*2π)/49833 weeks
165.70887 125.2381 (16*2π)/49831 weeks
173.7992 129.7937 (17*2π)/49829 weeks
18-17.70339 114.5605 (18*2π)/49828 weeks
19-22.29088 100.1048 (19*2π)/49826 weeks
20-24.06236 76.08886 (20*2π)/49825 weeks
21-12.88546 45.58762 (21*2π)/49824 weeks
22-.37058 36.18962 (22*2π)/49823 weeks
2319.61874 25.56206 (23*2π)/49822 weeks
2444.09976 29.9086 (24*2π)/49821 weeks
2542.15331 33.24281 (25*2π)/49820 weeks
2650.74203 30.62558 (26*2π)/49819 weeks
2764.64 40.69621 (27*2π)/49818 weeks
2864.77675 47.00008 (28*2π)/49818 weeks
2966.25368 42.69367 (29*2π)/49817 weeks
3081.11485 50.84506 (30*2π)/49817 weeks
3184.07861 72.69841 (31*2π)/49816 weeks
3270.07422 82.43124 (32*2π)/49816 weeks
3360.67254 83.36956 (33*2π)/49815 weeks
3453.56019 85.4572 (34*2π)/49815 weeks
3547.06593 83.61464 (35*2π)/49814 weeks
3645.25209 76.75679 (36*2π)/49814 weeks
3749.75439 79.27621 (37*2π)/49813 weeks
3842.75741 91.37301 (38*2π)/49813 weeks
3927.46537 87.81815 (39*2π)/49813 weeks
4021.46027 79.05303 (40*2π)/49812 weeks
4120.24422 75.91515 (41*2π)/49812 weeks
4217.40238 69.28177 (42*2π)/49812 weeks
4318.86239 63.2057 (43*2π)/49812 weeks
4423.03497 66.29249 (44*2π)/49811 weeks
4521.3315 66.16949 (45*2π)/49811 weeks
4618.49473 69.47511 (46*2π)/49811 weeks
4714.24349 70.43137 (47*2π)/49811 weeks
488.9771 70.86513 (48*2π)/49810 weeks
49-.40795 69.18978 (49*2π)/49810 weeks
50-8.08743 62.65915 (50*2π)/49810 weeks
51-16.43159 53.61591 (51*2π)/49810 weeks
52-18.10329 41.10567 (52*2π)/49810 weeks
53-14.28651 29.54377 (53*2π)/4989 weeks
54-11.56484 23.97054 (54*2π)/4989 weeks
55-10.73696 12.33521 (55*2π)/4989 weeks
562.57095 2.63843 (56*2π)/4989 weeks
5714.72114 4.21377 (57*2π)/4989 weeks
5818.47538 5.20229 (58*2π)/4989 weeks
5924.95324 6.75165 (59*2π)/4988 weeks
6031.14091 8.80043 (60*2π)/4988 weeks
6129.1182 10.07218 (61*2π)/4988 weeks
6238.68488 2.75673 (62*2π)/4988 weeks
6353.96051 11.92657 (63*2π)/4988 weeks
6453.3718 27.86859 (64*2π)/4988 weeks
6547.75129 37.89371 (65*2π)/4988 weeks
6641.17059 41.15204 (66*2π)/4988 weeks
6731.66053 43.84151 (67*2π)/4987 weeks
6823.76625 35.02699 (68*2π)/4987 weeks
6929.92464 24.77962 (69*2π)/4987 weeks
7042.8543 33.03375 (70*2π)/4987 weeks
7138.45941 44.8185 (71*2π)/4987 weeks
7226.24471 44.64725 (72*2π)/4987 weeks
7326.13213 40.69498 (73*2π)/4987 weeks
7425.05307 41.33448 (74*2π)/4987 weeks
7520.81236 37.45662 (75*2π)/4987 weeks
7627.87156 35.72149 (76*2π)/4987 weeks
7729.5261 45.01289 (77*2π)/4986 weeks
7820.38815 51.42915 (78*2π)/4986 weeks
7913.21867 49.63445 (79*2π)/4986 weeks
807.2369 46.50426 (80*2π)/4986 weeks
812.44199 45.46586 (81*2π)/4986 weeks
82-3.82017 41.58338 (82*2π)/4986 weeks
83-8.00406 35.27415 (83*2π)/4986 weeks
84-11.61855 28.64599 (84*2π)/4986 weeks
85-16.24092 16.80729 (85*2π)/4986 weeks
86-10.97493 2.90163 (86*2π)/4986 weeks
871.68542 -.97257 (87*2π)/4986 weeks
889.40483 -2.35074 (88*2π)/4986 weeks
8914.14768 -.39195 (89*2π)/4986 weeks
9015.99465 2.23765 (90*2π)/4986 weeks
9117.97547 2.52004 (91*2π)/4985 weeks
9221.81046 .16706 (92*2π)/4985 weeks
9327.04797 .84179 (93*2π)/4985 weeks
9429.07509 6.89402 (94*2π)/4985 weeks
9528.99118 10.21018 (95*2π)/4985 weeks
9628.65653 11.33948 (96*2π)/4985 weeks
9726.05654 10.88382 (97*2π)/4985 weeks
9827.47791 10.88036 (98*2π)/4985 weeks
9930.08252 13.71958 (99*2π)/4985 weeks
10029.029 16.1437 (100*2π)/4985 weeks
10124.90446 18.14972 (101*2π)/4985 weeks
10220.75933 15.75313 (102*2π)/4985 weeks
10322.79843 10.38948 (103*2π)/4985 weeks
10427.09858 10.99857 (104*2π)/4985 weeks
10525.31628 12.43769 (105*2π)/4985 weeks
10625.44513 11.39379 (106*2π)/4985 weeks
10727.83072 10.00672 (107*2π)/4985 weeks
10830.36292 11.38727 (108*2π)/4985 weeks
10929.58252 13.24957 (109*2π)/4985 weeks
11030.70316 12.95091 (110*2π)/4985 weeks
11132.97743 14.68854 (111*2π)/4984 weeks
11234.06138 18.11026 (112*2π)/4984 weeks
11331.6068 20.82256 (113*2π)/4984 weeks
11428.97749 24.85394 (114*2π)/4984 weeks
11523.80525 24.98147 (115*2π)/4984 weeks
11618.95721 20.1458 (116*2π)/4984 weeks
11719.75708 14.17203 (117*2π)/4984 weeks
11825.24254 11.12337 (118*2π)/4984 weeks
11931.80194 14.55241 (119*2π)/4984 weeks
12033.70253 20.43004 (120*2π)/4984 weeks
12128.16629 26.40434 (121*2π)/4984 weeks
12221.58909 26.89927 (122*2π)/4984 weeks
12322.29133 23.40483 (123*2π)/4984 weeks
12421.29593 25.67784 (124*2π)/4984 weeks
12514.06278 27.58027 (125*2π)/4984 weeks
1269.13251 22.66877 (126*2π)/4984 weeks
1278.89019 17.25112 (127*2π)/4984 weeks
1287.65848 12.06093 (128*2π)/4984 weeks
12910.32199 4.56694 (129*2π)/4984 weeks
13019.34033 3.44711 (130*2π)/4984 weeks
13124.4266 7.76258 (131*2π)/4984 weeks
13223.08075 10.03856 (132*2π)/4984 weeks
13323.69531 11.23511 (133*2π)/4984 weeks
13425.0398 12.79948 (134*2π)/4984 weeks
13525.05106 13.33698 (135*2π)/4984 weeks
13627.56631 15.24888 (136*2π)/4984 weeks
13727.01008 23.31444 (137*2π)/4984 weeks
13818.91944 27.62639 (138*2π)/4984 weeks
13911.61679 23.34992 (139*2π)/4984 weeks
1408.83557 17.43341 (140*2π)/4984 weeks
1419.302 12.86409 (141*2π)/4984 weeks
14212.82619 9.60224 (142*2π)/4984 weeks
14317.34818 10.48824 (143*2π)/4983 weeks
14415.90986 15.59628 (144*2π)/4983 weeks
14510.43281 15.19187 (145*2π)/4983 weeks
1468.89216 10.71281 (146*2π)/4983 weeks
14710.13055 7.68002 (147*2π)/4983 weeks
14811.61719 5.79707 (148*2π)/4983 weeks
14914.00619 6.8432 (149*2π)/4983 weeks
15012.62608 6.80518 (150*2π)/4983 weeks
15113.91935 4.18983 (151*2π)/4983 weeks
15215.06594 5.00095 (152*2π)/4983 weeks
15314.90764 4.78161 (153*2π)/4983 weeks
15416.23336 4.13451 (154*2π)/4983 weeks
15516.53194 5.68398 (155*2π)/4983 weeks
15617.11153 6.21612 (156*2π)/4983 weeks
15715.68392 6.5252 (157*2π)/4983 weeks
15814.20928 6.79066 (158*2π)/4983 weeks
15912.61844 6.43736 (159*2π)/4983 weeks
16011.37513 3.92841 (160*2π)/4983 weeks
16111.83354 .1656 (161*2π)/4983 weeks
16215.33186 -.75385 (162*2π)/4983 weeks
16316.17646 1.29748 (163*2π)/4983 weeks
16415.91416 .43832 (164*2π)/4983 weeks
16517.57757 .68154 (165*2π)/4983 weeks
16616.76498 2.44015 (166*2π)/4983 weeks
16716.7857 2.36841 (167*2π)/4983 weeks
16815.38116 2.93711 (168*2π)/4983 weeks
16912.34357 .55914 (169*2π)/4983 weeks
17014.91321 -2.83073 (170*2π)/4983 weeks
17118.06906 -1.71427 (171*2π)/4983 weeks
17216.4953 .05625 (172*2π)/4983 weeks
17315.55338 -.5109 (173*2π)/4983 weeks
17415.61357 -1.25588 (174*2π)/4983 weeks
17513.62058 -2.09859 (175*2π)/4983 weeks
17612.797 -6.18921 (176*2π)/4983 weeks
17717.92264 -9.6022 (177*2π)/4983 weeks
17821.60999 -6.59399 (178*2π)/4983 weeks
17921.04838 -4.46682 (179*2π)/4983 weeks
18020.73008 -3.75372 (180*2π)/4983 weeks
18120.34047 -2.10511 (181*2π)/4983 weeks
18215.88196 -2.12093 (182*2π)/4983 weeks
18316.18877 -6.88869 (183*2π)/4983 weeks
18419.99316 -5.82167 (184*2π)/4983 weeks
18516.6011 -3.85189 (185*2π)/4983 weeks
18613.74032 -7.42915 (186*2π)/4983 weeks
18713.36788 -11.46375 (187*2π)/4983 weeks
18815.89186 -15.64047 (188*2π)/4983 weeks
18919.34742 -19.01582 (189*2π)/4983 weeks
19023.8385 -20.49196 (190*2π)/4983 weeks
19129.43665 -18.90667 (191*2π)/4983 weeks
19230.7933 -16.29434 (192*2π)/4983 weeks
19331.03094 -17.29167 (193*2π)/4983 weeks
19436.40753 -17.35615 (194*2π)/4983 weeks
19539.58443 -14.2948 (195*2π)/4983 weeks
19642.16801 -11.74952 (196*2π)/4983 weeks
19745.53621 -6.57638 (197*2π)/4983 weeks
19844.63654 -.25681 (198*2π)/4983 weeks
19940.6852 4.24214 (199*2π)/4983 weeks
20035.92032 5.47887 (200*2π)/4982 weeks
20133.32852 2.71701 (201*2π)/4982 weeks
20234.91238 1.99806 (202*2π)/4982 weeks
20334.5519 5.14131 (203*2π)/4982 weeks
20431.36569 6.52767 (204*2π)/4982 weeks
20530.88634 5.45282 (205*2π)/4982 weeks
20628.09984 5.53995 (206*2π)/4982 weeks
20725.20801 3.69254 (207*2π)/4982 weeks
20827.12006 1.20798 (208*2π)/4982 weeks
20928.88686 .59581 (209*2π)/4982 weeks
21027.88328 1.9788 (210*2π)/4982 weeks
21128.10048 1.80054 (211*2π)/4982 weeks
21228.16704 2.26016 (212*2π)/4982 weeks
21327.12058 2.76925 (213*2π)/4982 weeks
21426.11214 1.96865 (214*2π)/4982 weeks
21526.17956 1.25981 (215*2π)/4982 weeks
21626.43595 2.26965 (216*2π)/4982 weeks
21722.73025 1.11881 (217*2π)/4982 weeks
21824.74249 -2.60572 (218*2π)/4982 weeks
21926.90057 -.74538 (219*2π)/4982 weeks
22024.00962 -1.46568 (220*2π)/4982 weeks
22125.45788 -3.47301 (221*2π)/4982 weeks
22227.67393 -3.16672 (222*2π)/4982 weeks
22326.56977 -2.55898 (223*2π)/4982 weeks
22426.45122 -3.24476 (224*2π)/4982 weeks
22528.49478 -4.05606 (225*2π)/4982 weeks
22628.16848 -2.56918 (226*2π)/4982 weeks
22726.88896 -2.67302 (227*2π)/4982 weeks
22826.70208 -5.24715 (228*2π)/4982 weeks
22928.60696 -6.94115 (229*2π)/4982 weeks
23031.72339 -7.33398 (230*2π)/4982 weeks
23133.53194 -6.61774 (231*2π)/4982 weeks
23237.06879 -3.45725 (232*2π)/4982 weeks
23335.34041 .94272 (233*2π)/4982 weeks
23431.21345 .58248 (234*2π)/4982 weeks
23533.09876 -1.63884 (235*2π)/4982 weeks
23635.56357 -.81051 (236*2π)/4982 weeks
23735.37439 3.02113 (237*2π)/4982 weeks
23833.40777 6.2097 (238*2π)/4982 weeks
23929.73141 4.32249 (239*2π)/4982 weeks
24028.85944 2.56899 (240*2π)/4982 weeks
24130.07153 1.4167 (241*2π)/4982 weeks
24233.09669 2.12254 (242*2π)/4982 weeks
24332.60783 7.07417 (243*2π)/4982 weeks
24427.44855 9.16022 (244*2π)/4982 weeks
24522.85468 7.16064 (245*2π)/4982 weeks
24621.95194 2.38777 (246*2π)/4982 weeks
24722.39129 -.65762 (247*2π)/4982 weeks
24825.2605 -2.45394 (248*2π)/4982 weeks
24928.97378   (249*2π)/4982 weeks
25025.2605 2.45394 (250*2π)/4982 weeks
25122.39129 .65762 (251*2π)/4982 weeks
25221.95194 -2.38777 (252*2π)/4982 weeks
25322.85468 -7.16064 (253*2π)/4982 weeks
25427.44855 -9.16022 (254*2π)/4982 weeks
25532.60783 -7.07417 (255*2π)/4982 weeks
25633.09669 -2.12254 (256*2π)/4982 weeks
25730.07153 -1.4167 (257*2π)/4982 weeks
25828.85944 -2.56899 (258*2π)/4982 weeks
25929.73141 -4.32249 (259*2π)/4982 weeks
26033.40777 -6.2097 (260*2π)/4982 weeks
26135.37439 -3.02113 (261*2π)/4982 weeks
26235.56357 .81051 (262*2π)/4982 weeks
26333.09876 1.63884 (263*2π)/4982 weeks
26431.21345 -.58248 (264*2π)/4982 weeks
26535.34041 -.94272 (265*2π)/4982 weeks
26637.06879 3.45725 (266*2π)/4982 weeks
26733.53194 6.61774 (267*2π)/4982 weeks
26831.72339 7.33398 (268*2π)/4982 weeks
26928.60696 6.94115 (269*2π)/4982 weeks
27026.70208 5.24715 (270*2π)/4982 weeks
27126.88896 2.67302 (271*2π)/4982 weeks
27228.16848 2.56918 (272*2π)/4982 weeks
27328.49478 4.05606 (273*2π)/4982 weeks
27426.45122 3.24476 (274*2π)/4982 weeks
27526.56977 2.55898 (275*2π)/4982 weeks
27627.67393 3.16672 (276*2π)/4982 weeks
27725.45788 3.47301 (277*2π)/4982 weeks
27824.00962 1.46568 (278*2π)/4982 weeks
27926.90057 .74538 (279*2π)/4982 weeks
28024.74249 2.60572 (280*2π)/4982 weeks
28122.73025 -1.11881 (281*2π)/4982 weeks
28226.43595 -2.26965 (282*2π)/4982 weeks
28326.17956 -1.25981 (283*2π)/4982 weeks
28426.11214 -1.96865 (284*2π)/4982 weeks
28527.12058 -2.76925 (285*2π)/4982 weeks
28628.16704 -2.26016 (286*2π)/4982 weeks
28728.10048 -1.80054 (287*2π)/4982 weeks
28827.88328 -1.9788 (288*2π)/4982 weeks
28928.88686 -.59581 (289*2π)/4982 weeks
29027.12006 -1.20798 (290*2π)/4982 weeks
29125.20801 -3.69254 (291*2π)/4982 weeks
29228.09984 -5.53995 (292*2π)/4982 weeks
29330.88634 -5.45282 (293*2π)/4982 weeks
29431.36569 -6.52767 (294*2π)/4982 weeks
29534.5519 -5.14131 (295*2π)/4982 weeks
29634.91238 -1.99806 (296*2π)/4982 weeks
29733.32852 -2.71701 (297*2π)/4982 weeks
29835.92032 -5.47887 (298*2π)/4982 weeks
29940.6852 -4.24214 (299*2π)/4982 weeks
30044.63654 .25681 (300*2π)/4982 weeks
30145.53621 6.57638 (301*2π)/4982 weeks
30242.16801 11.74952 (302*2π)/4982 weeks
30339.58443 14.2948 (303*2π)/4982 weeks
30436.40753 17.35615 (304*2π)/4982 weeks
30531.03094 17.29167 (305*2π)/4982 weeks
30630.7933 16.29434 (306*2π)/4982 weeks
30729.43665 18.90667 (307*2π)/4982 weeks
30823.8385 20.49196 (308*2π)/4982 weeks
30919.34742 19.01582 (309*2π)/4982 weeks
31015.89186 15.64047 (310*2π)/4982 weeks
31113.36788 11.46375 (311*2π)/4982 weeks
31213.74032 7.42915 (312*2π)/4982 weeks
31316.6011 3.85189 (313*2π)/4982 weeks
31419.99316 5.82167 (314*2π)/4982 weeks
31516.18877 6.88869 (315*2π)/4982 weeks
31615.88196 2.12093 (316*2π)/4982 weeks
31720.34047 2.10511 (317*2π)/4982 weeks
31820.73008 3.75372 (318*2π)/4982 weeks
31921.04838 4.46682 (319*2π)/4982 weeks
32021.60999 6.59399 (320*2π)/4982 weeks
32117.92264 9.6022 (321*2π)/4982 weeks
32212.797 6.18921 (322*2π)/4982 weeks
32313.62058 2.09859 (323*2π)/4982 weeks
32415.61357 1.25588 (324*2π)/4982 weeks
32515.55338 .5109 (325*2π)/4982 weeks
32616.4953 -.05625 (326*2π)/4982 weeks
32718.06906 1.71427 (327*2π)/4982 weeks
32814.91321 2.83073 (328*2π)/4982 weeks
32912.34357 -.55914 (329*2π)/4982 weeks
33015.38116 -2.93711 (330*2π)/4982 weeks
33116.7857 -2.36841 (331*2π)/4982 weeks
33216.76498 -2.44015 (332*2π)/4982 weeks
33317.57757 -.68154 (333*2π)/4981 weeks
33415.91416 -.43832 (334*2π)/4981 weeks
33516.17646 -1.29748 (335*2π)/4981 weeks
33615.33186 .75385 (336*2π)/4981 weeks
33711.83354 -.1656 (337*2π)/4981 weeks
33811.37513 -3.92841 (338*2π)/4981 weeks
33912.61844 -6.43736 (339*2π)/4981 weeks
34014.20928 -6.79066 (340*2π)/4981 weeks
34115.68392 -6.5252 (341*2π)/4981 weeks
34217.11153 -6.21612 (342*2π)/4981 weeks
34316.53194 -5.68398 (343*2π)/4981 weeks
34416.23336 -4.13451 (344*2π)/4981 weeks
34514.90764 -4.78161 (345*2π)/4981 weeks
34615.06594 -5.00095 (346*2π)/4981 weeks
34713.91935 -4.18983 (347*2π)/4981 weeks
34812.62608 -6.80518 (348*2π)/4981 weeks
34914.00619 -6.8432 (349*2π)/4981 weeks
35011.61719 -5.79707 (350*2π)/4981 weeks
35110.13055 -7.68002 (351*2π)/4981 weeks
3528.89216 -10.71281 (352*2π)/4981 weeks
35310.43281 -15.19187 (353*2π)/4981 weeks
35415.90986 -15.59628 (354*2π)/4981 weeks
35517.34818 -10.48824 (355*2π)/4981 weeks
35612.82619 -9.60224 (356*2π)/4981 weeks
3579.302 -12.86409 (357*2π)/4981 weeks
3588.83557 -17.43341 (358*2π)/4981 weeks
35911.61679 -23.34992 (359*2π)/4981 weeks
36018.91944 -27.62639 (360*2π)/4981 weeks
36127.01008 -23.31444 (361*2π)/4981 weeks
36227.56631 -15.24888 (362*2π)/4981 weeks
36325.05106 -13.33698 (363*2π)/4981 weeks
36425.0398 -12.79948 (364*2π)/4981 weeks
36523.69531 -11.23511 (365*2π)/4981 weeks
36623.08075 -10.03856 (366*2π)/4981 weeks
36724.4266 -7.76258 (367*2π)/4981 weeks
36819.34033 -3.44711 (368*2π)/4981 weeks
36910.32199 -4.56694 (369*2π)/4981 weeks
3707.65848 -12.06093 (370*2π)/4981 weeks
3718.89019 -17.25112 (371*2π)/4981 weeks
3729.13251 -22.66877 (372*2π)/4981 weeks
37314.06278 -27.58027 (373*2π)/4981 weeks
37421.29593 -25.67784 (374*2π)/4981 weeks
37522.29133 -23.40483 (375*2π)/4981 weeks
37621.58909 -26.89927 (376*2π)/4981 weeks
37728.16629 -26.40434 (377*2π)/4981 weeks
37833.70253 -20.43004 (378*2π)/4981 weeks
37931.80194 -14.55241 (379*2π)/4981 weeks
38025.24254 -11.12337 (380*2π)/4981 weeks
38119.75708 -14.17203 (381*2π)/4981 weeks
38218.95721 -20.1458 (382*2π)/4981 weeks
38323.80525 -24.98147 (383*2π)/4981 weeks
38428.97749 -24.85394 (384*2π)/4981 weeks
38531.6068 -20.82256 (385*2π)/4981 weeks
38634.06138 -18.11026 (386*2π)/4981 weeks
38732.97743 -14.68854 (387*2π)/4981 weeks
38830.70316 -12.95091 (388*2π)/4981 weeks
38929.58252 -13.24957 (389*2π)/4981 weeks
39030.36292 -11.38727 (390*2π)/4981 weeks
39127.83072 -10.00672 (391*2π)/4981 weeks
39225.44513 -11.39379 (392*2π)/4981 weeks
39325.31628 -12.43769 (393*2π)/4981 weeks
39427.09858 -10.99857 (394*2π)/4981 weeks
39522.79843 -10.38948 (395*2π)/4981 weeks
39620.75933 -15.75313 (396*2π)/4981 weeks
39724.90446 -18.14972 (397*2π)/4981 weeks
39829.029 -16.1437 (398*2π)/4981 weeks
39930.08252 -13.71958 (399*2π)/4981 weeks
40027.47791 -10.88036 (400*2π)/4981 weeks
40126.05654 -10.88382 (401*2π)/4981 weeks
40228.65653 -11.33948 (402*2π)/4981 weeks
40328.99118 -10.21018 (403*2π)/4981 weeks
40429.07509 -6.89402 (404*2π)/4981 weeks
40527.04797 -.84179 (405*2π)/4981 weeks
40621.81046 -.16706 (406*2π)/4981 weeks
40717.97547 -2.52004 (407*2π)/4981 weeks
40815.99465 -2.23765 (408*2π)/4981 weeks
40914.14768 .39195 (409*2π)/4981 weeks
4109.40483 2.35074 (410*2π)/4981 weeks
4111.68542 .97257 (411*2π)/4981 weeks
412-10.97493 -2.90163 (412*2π)/4981 weeks
413-16.24092 -16.80729 (413*2π)/4981 weeks
414-11.61855 -28.64599 (414*2π)/4981 weeks
415-8.00406 -35.27415 (415*2π)/4981 weeks
416-3.82017 -41.58338 (416*2π)/4981 weeks
4172.44199 -45.46586 (417*2π)/4981 weeks
4187.2369 -46.50426 (418*2π)/4981 weeks
41913.21867 -49.63445 (419*2π)/4981 weeks
42020.38815 -51.42915 (420*2π)/4981 weeks
42129.5261 -45.01289 (421*2π)/4981 weeks
42227.87156 -35.72149 (422*2π)/4981 weeks
42320.81236 -37.45662 (423*2π)/4981 weeks
42425.05307 -41.33448 (424*2π)/4981 weeks
42526.13213 -40.69498 (425*2π)/4981 weeks
42626.24471 -44.64725 (426*2π)/4981 weeks
42738.45941 -44.8185 (427*2π)/4981 weeks
42842.8543 -33.03375 (428*2π)/4981 weeks
42929.92464 -24.77962 (429*2π)/4981 weeks
43023.76625 -35.02699 (430*2π)/4981 weeks
43131.66053 -43.84151 (431*2π)/4981 weeks
43241.17059 -41.15204 (432*2π)/4981 weeks
43347.75129 -37.89371 (433*2π)/4981 weeks
43453.3718 -27.86859 (434*2π)/4981 weeks
43553.96051 -11.92657 (435*2π)/4981 weeks
43638.68488 -2.75673 (436*2π)/4981 weeks
43729.1182 -10.07218 (437*2π)/4981 weeks
43831.14091 -8.80043 (438*2π)/4981 weeks
43924.95324 -6.75165 (439*2π)/4981 weeks
44018.47538 -5.20229 (440*2π)/4981 weeks
44114.72114 -4.21377 (441*2π)/4981 weeks
4422.57095 -2.63843 (442*2π)/4981 weeks
443-10.73696 -12.33521 (443*2π)/4981 weeks
444-11.56484 -23.97054 (444*2π)/4981 weeks
445-14.28651 -29.54377 (445*2π)/4981 weeks
446-18.10329 -41.10567 (446*2π)/4981 weeks
447-16.43159 -53.61591 (447*2π)/4981 weeks
448-8.08743 -62.65915 (448*2π)/4981 weeks
449-.40795 -69.18978 (449*2π)/4981 weeks
4508.9771 -70.86513 (450*2π)/4981 weeks
45114.24349 -70.43137 (451*2π)/4981 weeks
45218.49473 -69.47511 (452*2π)/4981 weeks
45321.3315 -66.16949 (453*2π)/4981 weeks
45423.03497 -66.29249 (454*2π)/4981 weeks
45518.86239 -63.2057 (455*2π)/4981 weeks
45617.40238 -69.28177 (456*2π)/4981 weeks
45720.24422 -75.91515 (457*2π)/4981 weeks
45821.46027 -79.05303 (458*2π)/4981 weeks
45927.46537 -87.81815 (459*2π)/4981 weeks
46042.75741 -91.37301 (460*2π)/4981 weeks
46149.75439 -79.27621 (461*2π)/4981 weeks
46245.25209 -76.75679 (462*2π)/4981 weeks
46347.06593 -83.61464 (463*2π)/4981 weeks
46453.56019 -85.4572 (464*2π)/4981 weeks
46560.67254 -83.36956 (465*2π)/4981 weeks
46670.07422 -82.43124 (466*2π)/4981 weeks
46784.07861 -72.69841 (467*2π)/4981 weeks
46881.11485 -50.84506 (468*2π)/4981 weeks
46966.25368 -42.69367 (469*2π)/4981 weeks
47064.77675 -47.00008 (470*2π)/4981 weeks
47164.64 -40.69621 (471*2π)/4981 weeks
47250.74203 -30.62558 (472*2π)/4981 weeks
47342.15331 -33.24281 (473*2π)/4981 weeks
47444.09976 -29.9086 (474*2π)/4981 weeks
47519.61874 -25.56206 (475*2π)/4981 weeks
476-.37058 -36.18962 (476*2π)/4981 weeks
477-12.88546 -45.58762 (477*2π)/4981 weeks
478-24.06236 -76.08886 (478*2π)/4981 weeks
479-22.29088 -100.1048 (479*2π)/4981 weeks
480-17.70339 -114.5605 (480*2π)/4981 weeks
4813.7992 -129.7937 (481*2π)/4981 weeks
4825.70887 -125.2381 (482*2π)/4981 weeks
483-14.32798 -145.2166 (483*2π)/4981 weeks
484.0886 -167.4033 (484*2π)/4981 weeks
4855.40729 -182.2737 (485*2π)/4981 weeks
48612.66321 -211.0709 (486*2π)/4981 weeks
48749.75324 -227.3929 (487*2π)/4981 weeks
48840.41556 -217.1444 (488*2π)/4981 weeks
48910.4788 -255.6639 (489*2π)/4981 weeks
49044.99054 -351.4551 (490*2π)/4981 weeks
491133.0147 -398.8207 (491*2π)/4981 weeks
492210.9767 -383.3527 (492*2π)/4981 weeks
493238.0953 -350.9901 (493*2π)/4981 weeks
494251.1891 -391.7815 (494*2π)/4981 weeks
495334.3559 -517.409 (495*2π)/4981 weeks
496513.1114 -591.7476 (496*2π)/4981 weeks



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