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Fourier Analysis of EDZ (Direxion Daily Emerging Markets Bear 3x Shares ETF)


EDZ (Direxion Daily Emerging Markets Bear 3x Shares ETF) appears to have interesting cyclic behaviour every 45 weeks (131.9384*sine), 41 weeks (122.9721*sine), and 45 weeks (77.8398*cosine).

EDZ (Direxion Daily Emerging Markets Bear 3x Shares ETF) has an average price of 208.36 (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 12/30/2008 to 7/17/2017 for EDZ (Direxion Daily Emerging Markets Bear 3x Shares ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0208.3576   0 
1278.9751 99.1124 (1*2π)/447447 weeks
2226.6437 109.83 (2*2π)/447224 weeks
3194.876 121.9586 (3*2π)/447149 weeks
4170.4809 127.7261 (4*2π)/447112 weeks
5157.2137 122.7829 (5*2π)/44789 weeks
6144.7803 130.6956 (6*2π)/44775 weeks
7123.6989 137.7864 (7*2π)/44764 weeks
899.08096 137.601 (8*2π)/44756 weeks
987.6027 131.2145 (9*2π)/44750 weeks
1077.83981 131.9384 (10*2π)/44745 weeks
1163.41279 122.9721 (11*2π)/44741 weeks
1259.77561 122.7393 (12*2π)/44737 weeks
1349.36822 122.6625 (13*2π)/44734 weeks
1435.47889 115.9405 (14*2π)/44732 weeks
1532.10252 110.0525 (15*2π)/44730 weeks
1624.42316 109.1781 (16*2π)/44728 weeks
1718.93173 104.6192 (17*2π)/44726 weeks
1810.5852 100.1032 (18*2π)/44725 weeks
192.22199 94.00567 (19*2π)/44724 weeks
20-2.73372 88.29847 (20*2π)/44722 weeks
21-7.32935 82.75849 (21*2π)/44721 weeks
22-7.22799 74.02139 (22*2π)/44720 weeks
23-9.20506 69.96535 (23*2π)/44719 weeks
24-12.73238 63.44952 (24*2π)/44719 weeks
25-13.59935 59.52398 (25*2π)/44718 weeks
26-16.79983 55.51063 (26*2π)/44717 weeks
27-18.26557 47.90606 (27*2π)/44717 weeks
28-15.26786 39.67973 (28*2π)/44716 weeks
29-12.81054 36.39331 (29*2π)/44715 weeks
30-11.07463 31.97004 (30*2π)/44715 weeks
31-7.25152 30.14442 (31*2π)/44714 weeks
32-6.11112 30.52526 (32*2π)/44714 weeks
33-7.95892 28.99475 (33*2π)/44714 weeks
34-7.631 23.45019 (34*2π)/44713 weeks
35-3.28497 21.69654 (35*2π)/44713 weeks
36-1.394 20.57082 (36*2π)/44712 weeks
37.82161 18.88243 (37*2π)/44712 weeks
381.89794 19.60088 (38*2π)/44712 weeks
391.69965 19.68353 (39*2π)/44711 weeks
404.29957 17.48823 (40*2π)/44711 weeks
413.76125 17.60931 (41*2π)/44711 weeks
424.48103 15.12447 (42*2π)/44711 weeks
436.65502 14.35252 (43*2π)/44710 weeks
449.10235 13.78183 (44*2π)/44710 weeks
4510.46749 13.66573 (45*2π)/44710 weeks
4613.97072 13.68674 (46*2π)/44710 weeks
4715.06166 15.01083 (47*2π)/44710 weeks
4816.56103 16.50555 (48*2π)/4479 weeks
4917.83858 17.1028 (49*2π)/4479 weeks
5020.30246 19.78236 (50*2π)/4479 weeks
5119.42958 22.73759 (51*2π)/4479 weeks
5218.9849 23.84642 (52*2π)/4479 weeks
5319.18019 26.17801 (53*2π)/4478 weeks
5417.27556 29.12456 (54*2π)/4478 weeks
5516.09764 29.27126 (55*2π)/4478 weeks
5615.65875 31.86486 (56*2π)/4478 weeks
5711.72922 33.69537 (57*2π)/4478 weeks
588.84979 33.05764 (58*2π)/4478 weeks
597.22427 32.10385 (59*2π)/4478 weeks
604.94848 31.55822 (60*2π)/4477 weeks
614.34351 29.59874 (61*2π)/4477 weeks
625.13503 28.88129 (62*2π)/4477 weeks
634.13914 31.49898 (63*2π)/4477 weeks
64.26336 30.76464 (64*2π)/4477 weeks
65-.19077 28.55741 (65*2π)/4477 weeks
66-.83636 29.11243 (66*2π)/4477 weeks
67-3.72171 27.18875 (67*2π)/4477 weeks
68-2.94756 25.48552 (68*2π)/4477 weeks
69-3.32859 26.23097 (69*2π)/4476 weeks
70-5.44613 25.26959 (70*2π)/4476 weeks
71-5.808 24.3854 (71*2π)/4476 weeks
72-6.78647 23.43211 (72*2π)/4476 weeks
73-8.67357 22.33179 (73*2π)/4476 weeks
74-9.945 20.11571 (74*2π)/4476 weeks
75-10.71843 18.57026 (75*2π)/4476 weeks
76-11.24063 16.39066 (76*2π)/4476 weeks
77-10.64165 13.32703 (77*2π)/4476 weeks
78-9.06903 12.55257 (78*2π)/4476 weeks
79-8.47105 11.13457 (79*2π)/4476 weeks
80-8.24408 10.25113 (80*2π)/4476 weeks
81-8.00277 9.69005 (81*2π)/4476 weeks
82-7.91433 9.28155 (82*2π)/4475 weeks
83-7.2331 8.42453 (83*2π)/4475 weeks
84-6.31455 7.22984 (84*2π)/4475 weeks
85-6.12307 6.52582 (85*2π)/4475 weeks
86-6.18941 5.70122 (86*2π)/4475 weeks
87-6.16248 5.32233 (87*2π)/4475 weeks
88-5.422 4.23137 (88*2π)/4475 weeks
89-4.58126 3.45026 (89*2π)/4475 weeks
90-3.90186 2.34529 (90*2π)/4475 weeks
91-3.29652 2.32005 (91*2π)/4475 weeks
92-3.38026 2.55885 (92*2π)/4475 weeks
93-3.17774 1.199 (93*2π)/4475 weeks
94-1.4671 .75631 (94*2π)/4475 weeks
95-1.00588 .57148 (95*2π)/4475 weeks
96-1.04428 .51923 (96*2π)/4475 weeks
97-.86704 .06888 (97*2π)/4475 weeks
98-.52814 -.14146 (98*2π)/4475 weeks
99-.40908 -1.13763 (99*2π)/4475 weeks
100.56698 -2.41759 (100*2π)/4474 weeks
1012.28775 -3.03924 (101*2π)/4474 weeks
1022.59342 -3.00785 (102*2π)/4474 weeks
1033.89025 -3.65902 (103*2π)/4474 weeks
1045.57065 -2.82716 (104*2π)/4474 weeks
1055.9088 -2.12009 (105*2π)/4474 weeks
1066.06771 -2.04709 (106*2π)/4474 weeks
1076.56108 -2.38373 (107*2π)/4474 weeks
1087.26343 -2.97033 (108*2π)/4474 weeks
1098.22382 -2.8668 (109*2π)/4474 weeks
1109.46314 -2.07326 (110*2π)/4474 weeks
11110.20393 -2.31535 (111*2π)/4474 weeks
11212.03993 -2.30375 (112*2π)/4474 weeks
11313.34517 -.3198 (113*2π)/4474 weeks
11413.42626 1.47049 (114*2π)/4474 weeks
11513.68498 2.58601 (115*2π)/4474 weeks
11613.72637 4.66438 (116*2π)/4474 weeks
11712.18751 5.72591 (117*2π)/4474 weeks
11811.27942 5.47186 (118*2π)/4474 weeks
11911.01039 6.24333 (119*2π)/4474 weeks
1209.7971 6.98685 (120*2π)/4474 weeks
1219.31759 6.23015 (121*2π)/4474 weeks
1229.02148 6.63145 (122*2π)/4474 weeks
1237.87239 6.20152 (123*2π)/4474 weeks
1247.80778 5.3151 (124*2π)/4474 weeks
1258.35063 5.40282 (125*2π)/4474 weeks
1268.14256 5.63236 (126*2π)/4474 weeks
1278.36175 5.6538 (127*2π)/4474 weeks
1288.2563 5.8472 (128*2π)/4473 weeks
1297.10325 6.42678 (129*2π)/4473 weeks
1306.56126 5.02651 (130*2π)/4473 weeks
1317.41595 4.42146 (131*2π)/4473 weeks
1328.04382 4.46083 (132*2π)/4473 weeks
1338.4425 4.81496 (133*2π)/4473 weeks
1348.20612 5.52538 (134*2π)/4473 weeks
1357.9182 5.82433 (135*2π)/4473 weeks
1367.5037 6.08173 (136*2π)/4473 weeks
1376.73138 6.09791 (137*2π)/4473 weeks
1386.54093 5.41044 (138*2π)/4473 weeks
1396.47503 5.27364 (139*2π)/4473 weeks
1406.85365 5.11104 (140*2π)/4473 weeks
1416.43964 4.98447 (141*2π)/4473 weeks
1426.43693 4.69374 (142*2π)/4473 weeks
1436.29643 4.82076 (143*2π)/4473 weeks
1446.39746 4.42512 (144*2π)/4473 weeks
1456.8861 4.321 (145*2π)/4473 weeks
1466.86471 4.51406 (146*2π)/4473 weeks
1476.83401 4.38408 (147*2π)/4473 weeks
1486.92481 4.49352 (148*2π)/4473 weeks
1496.74561 4.92461 (149*2π)/4473 weeks
1506.79498 4.63815 (150*2π)/4473 weeks
1516.55797 4.84752 (151*2π)/4473 weeks
1526.15154 4.56089 (152*2π)/4473 weeks
1536.47723 4.29995 (153*2π)/4473 weeks
1546.80276 4.85043 (154*2π)/4473 weeks
1556.38839 4.76685 (155*2π)/4473 weeks
1566.16437 4.76481 (156*2π)/4473 weeks
1575.90736 5.17493 (157*2π)/4473 weeks
1585.20069 4.53327 (158*2π)/4473 weeks
1595.68724 3.22513 (159*2π)/4473 weeks
1606.24705 3.69945 (160*2π)/4473 weeks
1616.28262 3.86593 (161*2π)/4473 weeks
1626.87113 3.99386 (162*2π)/4473 weeks
1637.20607 4.9913 (163*2π)/4473 weeks
1646.03782 5.1188 (164*2π)/4473 weeks
1656.42564 4.63356 (165*2π)/4473 weeks
1666.66852 6.03538 (166*2π)/4473 weeks
1675.40253 6.78627 (167*2π)/4473 weeks
1684.46591 6.70975 (168*2π)/4473 weeks
1693.47084 6.46982 (169*2π)/4473 weeks
1702.2769 5.84627 (170*2π)/4473 weeks
1712.09722 4.82271 (171*2π)/4473 weeks
1721.90298 4.58539 (172*2π)/4473 weeks
1731.55619 4.31337 (173*2π)/4473 weeks
174.34885 3.17152 (174*2π)/4473 weeks
175.55154 2.57452 (175*2π)/4473 weeks
176-.01625 1.35305 (176*2π)/4473 weeks
177.45706 -.51971 (177*2π)/4473 weeks
1781.36408 -1.36724 (178*2π)/4473 weeks
1792.49873 -1.5588 (179*2π)/4472 weeks
1803.29376 -1.59365 (180*2π)/4472 weeks
1813.40377 -1.52418 (181*2π)/4472 weeks
1823.49942 -2.33967 (182*2π)/4472 weeks
1834.49916 -2.68426 (183*2π)/4472 weeks
1845.1028 -2.64158 (184*2π)/4472 weeks
1855.82952 -2.55892 (185*2π)/4472 weeks
1866.8737 -2.1325 (186*2π)/4472 weeks
1876.74808 -1.65722 (187*2π)/4472 weeks
1886.62102 -1.58859 (188*2π)/4472 weeks
1896.78297 -1.3559 (189*2π)/4472 weeks
1907.01618 -1.249 (190*2π)/4472 weeks
1916.86739 -1.46226 (191*2π)/4472 weeks
1927.36442 -1.51957 (192*2π)/4472 weeks
1937.45854 -1.15029 (193*2π)/4472 weeks
1947.5797 -1.28797 (194*2π)/4472 weeks
1958.50824 -1.44211 (195*2π)/4472 weeks
1968.67325 -.6588 (196*2π)/4472 weeks
1978.32231 -.92613 (197*2π)/4472 weeks
1989.19935 -.49526 (198*2π)/4472 weeks
1999.27203 .53361 (199*2π)/4472 weeks
2008.60777 .62613 (200*2π)/4472 weeks
2018.42474 .27525 (201*2π)/4472 weeks
2028.55767 .82617 (202*2π)/4472 weeks
2038.46024 .71818 (203*2π)/4472 weeks
2048.75689 .75269 (204*2π)/4472 weeks
2059.19972 1.0909 (205*2π)/4472 weeks
2068.95952 1.36222 (206*2π)/4472 weeks
2079.09648 1.67731 (207*2π)/4472 weeks
2088.93844 2.82128 (208*2π)/4472 weeks
2097.97501 3.17645 (209*2π)/4472 weeks
2107.73303 2.67694 (210*2π)/4472 weeks
2118.1773 3.02686 (211*2π)/4472 weeks
2127.53862 3.74404 (212*2π)/4472 weeks
2136.43518 3.86071 (213*2π)/4472 weeks
2145.18427 3.49368 (214*2π)/4472 weeks
2155.11134 2.92026 (215*2π)/4472 weeks
2165.14386 2.3801 (216*2π)/4472 weeks
2175.95495 2.08338 (217*2π)/4472 weeks
2185.26238 2.95554 (218*2π)/4472 weeks
2193.92831 3.00859 (219*2π)/4472 weeks
2203.15756 2.06638 (220*2π)/4472 weeks
2213.24174 1.22885 (221*2π)/4472 weeks
2223.17294 .00547 (222*2π)/4472 weeks
2233.90661 -.17081 (223*2π)/4472 weeks
2243.90661 .17081 (224*2π)/4472 weeks
2253.17294 -.00547 (225*2π)/4472 weeks
2263.24174 -1.22885 (226*2π)/4472 weeks
2273.15756 -2.06638 (227*2π)/4472 weeks
2283.92831 -3.00859 (228*2π)/4472 weeks
2295.26238 -2.95554 (229*2π)/4472 weeks
2305.95495 -2.08338 (230*2π)/4472 weeks
2315.14386 -2.3801 (231*2π)/4472 weeks
2325.11134 -2.92026 (232*2π)/4472 weeks
2335.18427 -3.49368 (233*2π)/4472 weeks
2346.43518 -3.86071 (234*2π)/4472 weeks
2357.53862 -3.74404 (235*2π)/4472 weeks
2368.1773 -3.02686 (236*2π)/4472 weeks
2377.73303 -2.67694 (237*2π)/4472 weeks
2387.97501 -3.17645 (238*2π)/4472 weeks
2398.93844 -2.82128 (239*2π)/4472 weeks
2409.09648 -1.67731 (240*2π)/4472 weeks
2418.95952 -1.36222 (241*2π)/4472 weeks
2429.19972 -1.0909 (242*2π)/4472 weeks
2438.75689 -.75269 (243*2π)/4472 weeks
2448.46024 -.71818 (244*2π)/4472 weeks
2458.55767 -.82617 (245*2π)/4472 weeks
2468.42474 -.27525 (246*2π)/4472 weeks
2478.60777 -.62613 (247*2π)/4472 weeks
2489.27203 -.53361 (248*2π)/4472 weeks
2499.19935 .49526 (249*2π)/4472 weeks
2508.32231 .92613 (250*2π)/4472 weeks
2518.67325 .6588 (251*2π)/4472 weeks
2528.50824 1.44211 (252*2π)/4472 weeks
2537.5797 1.28797 (253*2π)/4472 weeks
2547.45854 1.15029 (254*2π)/4472 weeks
2557.36442 1.51957 (255*2π)/4472 weeks
2566.86739 1.46226 (256*2π)/4472 weeks
2577.01618 1.249 (257*2π)/4472 weeks
2586.78297 1.3559 (258*2π)/4472 weeks
2596.62102 1.58859 (259*2π)/4472 weeks
2606.74808 1.65722 (260*2π)/4472 weeks
2616.8737 2.1325 (261*2π)/4472 weeks
2625.82952 2.55892 (262*2π)/4472 weeks
2635.1028 2.64158 (263*2π)/4472 weeks
2644.49916 2.68426 (264*2π)/4472 weeks
2653.49942 2.33967 (265*2π)/4472 weeks
2663.40377 1.52418 (266*2π)/4472 weeks
2673.29376 1.59365 (267*2π)/4472 weeks
2682.49873 1.5588 (268*2π)/4472 weeks
2691.36408 1.36724 (269*2π)/4472 weeks
270.45706 .51971 (270*2π)/4472 weeks
271-.01625 -1.35305 (271*2π)/4472 weeks
272.55154 -2.57452 (272*2π)/4472 weeks
273.34885 -3.17152 (273*2π)/4472 weeks
2741.55619 -4.31337 (274*2π)/4472 weeks
2751.90298 -4.58539 (275*2π)/4472 weeks
2762.09722 -4.82271 (276*2π)/4472 weeks
2772.2769 -5.84627 (277*2π)/4472 weeks
2783.47084 -6.46982 (278*2π)/4472 weeks
2794.46591 -6.70975 (279*2π)/4472 weeks
2805.40253 -6.78627 (280*2π)/4472 weeks
2816.66852 -6.03538 (281*2π)/4472 weeks
2826.42564 -4.63356 (282*2π)/4472 weeks
2836.03782 -5.1188 (283*2π)/4472 weeks
2847.20607 -4.9913 (284*2π)/4472 weeks
2856.87113 -3.99386 (285*2π)/4472 weeks
2866.28262 -3.86593 (286*2π)/4472 weeks
2876.24705 -3.69945 (287*2π)/4472 weeks
2885.68724 -3.22513 (288*2π)/4472 weeks
2895.20069 -4.53327 (289*2π)/4472 weeks
2905.90736 -5.17493 (290*2π)/4472 weeks
2916.16437 -4.76481 (291*2π)/4472 weeks
2926.38839 -4.76685 (292*2π)/4472 weeks
2936.80276 -4.85043 (293*2π)/4472 weeks
2946.47723 -4.29995 (294*2π)/4472 weeks
2956.15154 -4.56089 (295*2π)/4472 weeks
2966.55797 -4.84752 (296*2π)/4472 weeks
2976.79498 -4.63815 (297*2π)/4472 weeks
2986.74561 -4.92461 (298*2π)/4472 weeks
2996.92481 -4.49352 (299*2π)/4471 weeks
3006.83401 -4.38408 (300*2π)/4471 weeks
3016.86471 -4.51406 (301*2π)/4471 weeks
3026.8861 -4.321 (302*2π)/4471 weeks
3036.39746 -4.42512 (303*2π)/4471 weeks
3046.29643 -4.82076 (304*2π)/4471 weeks
3056.43693 -4.69374 (305*2π)/4471 weeks
3066.43964 -4.98447 (306*2π)/4471 weeks
3076.85365 -5.11104 (307*2π)/4471 weeks
3086.47503 -5.27364 (308*2π)/4471 weeks
3096.54093 -5.41044 (309*2π)/4471 weeks
3106.73138 -6.09791 (310*2π)/4471 weeks
3117.5037 -6.08173 (311*2π)/4471 weeks
3127.9182 -5.82433 (312*2π)/4471 weeks
3138.20612 -5.52538 (313*2π)/4471 weeks
3148.4425 -4.81496 (314*2π)/4471 weeks
3158.04382 -4.46083 (315*2π)/4471 weeks
3167.41595 -4.42146 (316*2π)/4471 weeks
3176.56126 -5.02651 (317*2π)/4471 weeks
3187.10325 -6.42678 (318*2π)/4471 weeks
3198.2563 -5.8472 (319*2π)/4471 weeks
3208.36175 -5.6538 (320*2π)/4471 weeks
3218.14256 -5.63236 (321*2π)/4471 weeks
3228.35063 -5.40282 (322*2π)/4471 weeks
3237.80778 -5.3151 (323*2π)/4471 weeks
3247.87239 -6.20152 (324*2π)/4471 weeks
3259.02148 -6.63145 (325*2π)/4471 weeks
3269.31759 -6.23015 (326*2π)/4471 weeks
3279.7971 -6.98685 (327*2π)/4471 weeks
32811.01039 -6.24333 (328*2π)/4471 weeks
32911.27942 -5.47186 (329*2π)/4471 weeks
33012.18751 -5.72591 (330*2π)/4471 weeks
33113.72637 -4.66438 (331*2π)/4471 weeks
33213.68498 -2.58601 (332*2π)/4471 weeks
33313.42626 -1.47049 (333*2π)/4471 weeks
33413.34517 .3198 (334*2π)/4471 weeks
33512.03993 2.30375 (335*2π)/4471 weeks
33610.20393 2.31535 (336*2π)/4471 weeks
3379.46314 2.07326 (337*2π)/4471 weeks
3388.22382 2.8668 (338*2π)/4471 weeks
3397.26343 2.97033 (339*2π)/4471 weeks
3406.56108 2.38373 (340*2π)/4471 weeks
3416.06771 2.04709 (341*2π)/4471 weeks
3425.9088 2.12009 (342*2π)/4471 weeks
3435.57065 2.82716 (343*2π)/4471 weeks
3443.89025 3.65902 (344*2π)/4471 weeks
3452.59342 3.00785 (345*2π)/4471 weeks
3462.28775 3.03924 (346*2π)/4471 weeks
347.56698 2.41759 (347*2π)/4471 weeks
348-.40908 1.13763 (348*2π)/4471 weeks
349-.52814 .14146 (349*2π)/4471 weeks
350-.86704 -.06888 (350*2π)/4471 weeks
351-1.04428 -.51923 (351*2π)/4471 weeks
352-1.00588 -.57148 (352*2π)/4471 weeks
353-1.4671 -.75631 (353*2π)/4471 weeks
354-3.17774 -1.199 (354*2π)/4471 weeks
355-3.38026 -2.55885 (355*2π)/4471 weeks
356-3.29652 -2.32005 (356*2π)/4471 weeks
357-3.90186 -2.34529 (357*2π)/4471 weeks
358-4.58126 -3.45026 (358*2π)/4471 weeks
359-5.422 -4.23137 (359*2π)/4471 weeks
360-6.16248 -5.32233 (360*2π)/4471 weeks
361-6.18941 -5.70122 (361*2π)/4471 weeks
362-6.12307 -6.52582 (362*2π)/4471 weeks
363-6.31455 -7.22984 (363*2π)/4471 weeks
364-7.2331 -8.42453 (364*2π)/4471 weeks
365-7.91433 -9.28155 (365*2π)/4471 weeks
366-8.00277 -9.69005 (366*2π)/4471 weeks
367-8.24408 -10.25113 (367*2π)/4471 weeks
368-8.47105 -11.13457 (368*2π)/4471 weeks
369-9.06903 -12.55257 (369*2π)/4471 weeks
370-10.64165 -13.32703 (370*2π)/4471 weeks
371-11.24063 -16.39066 (371*2π)/4471 weeks
372-10.71843 -18.57026 (372*2π)/4471 weeks
373-9.945 -20.11571 (373*2π)/4471 weeks
374-8.67357 -22.33179 (374*2π)/4471 weeks
375-6.78647 -23.43211 (375*2π)/4471 weeks
376-5.808 -24.3854 (376*2π)/4471 weeks
377-5.44613 -25.26959 (377*2π)/4471 weeks
378-3.32859 -26.23097 (378*2π)/4471 weeks
379-2.94756 -25.48552 (379*2π)/4471 weeks
380-3.72171 -27.18875 (380*2π)/4471 weeks
381-.83636 -29.11243 (381*2π)/4471 weeks
382-.19077 -28.55741 (382*2π)/4471 weeks
383.26336 -30.76464 (383*2π)/4471 weeks
3844.13914 -31.49898 (384*2π)/4471 weeks
3855.13503 -28.88129 (385*2π)/4471 weeks
3864.34351 -29.59874 (386*2π)/4471 weeks
3874.94848 -31.55822 (387*2π)/4471 weeks
3887.22427 -32.10385 (388*2π)/4471 weeks
3898.84979 -33.05764 (389*2π)/4471 weeks
39011.72922 -33.69537 (390*2π)/4471 weeks
39115.65875 -31.86486 (391*2π)/4471 weeks
39216.09764 -29.27126 (392*2π)/4471 weeks
39317.27556 -29.12456 (393*2π)/4471 weeks
39419.18019 -26.17801 (394*2π)/4471 weeks
39518.9849 -23.84642 (395*2π)/4471 weeks
39619.42958 -22.73759 (396*2π)/4471 weeks
39720.30246 -19.78236 (397*2π)/4471 weeks
39817.83858 -17.1028 (398*2π)/4471 weeks
39916.56103 -16.50555 (399*2π)/4471 weeks
40015.06166 -15.01083 (400*2π)/4471 weeks
40113.97072 -13.68674 (401*2π)/4471 weeks
40210.46749 -13.66573 (402*2π)/4471 weeks
4039.10235 -13.78183 (403*2π)/4471 weeks
4046.65502 -14.35252 (404*2π)/4471 weeks
4054.48103 -15.12447 (405*2π)/4471 weeks
4063.76125 -17.60931 (406*2π)/4471 weeks
4074.29957 -17.48823 (407*2π)/4471 weeks
4081.69965 -19.68353 (408*2π)/4471 weeks
4091.89794 -19.60088 (409*2π)/4471 weeks
410.82161 -18.88243 (410*2π)/4471 weeks
411-1.394 -20.57082 (411*2π)/4471 weeks
412-3.28497 -21.69654 (412*2π)/4471 weeks
413-7.631 -23.45019 (413*2π)/4471 weeks
414-7.95892 -28.99475 (414*2π)/4471 weeks
415-6.11112 -30.52526 (415*2π)/4471 weeks
416-7.25152 -30.14442 (416*2π)/4471 weeks
417-11.07463 -31.97004 (417*2π)/4471 weeks
418-12.81054 -36.39331 (418*2π)/4471 weeks
419-15.26786 -39.67973 (419*2π)/4471 weeks
420-18.26557 -47.90606 (420*2π)/4471 weeks
421-16.79983 -55.51063 (421*2π)/4471 weeks
422-13.59935 -59.52398 (422*2π)/4471 weeks
423-12.73238 -63.44952 (423*2π)/4471 weeks
424-9.20506 -69.96535 (424*2π)/4471 weeks
425-7.22799 -74.02139 (425*2π)/4471 weeks
426-7.32935 -82.75849 (426*2π)/4471 weeks
427-2.73372 -88.29847 (427*2π)/4471 weeks
4282.22199 -94.00567 (428*2π)/4471 weeks
42910.5852 -100.1032 (429*2π)/4471 weeks
43018.93173 -104.6192 (430*2π)/4471 weeks
43124.42316 -109.1781 (431*2π)/4471 weeks
43232.10252 -110.0525 (432*2π)/4471 weeks
43335.47889 -115.9405 (433*2π)/4471 weeks
43449.36822 -122.6625 (434*2π)/4471 weeks
43559.77561 -122.7393 (435*2π)/4471 weeks
43663.41279 -122.9721 (436*2π)/4471 weeks
43777.83981 -131.9384 (437*2π)/4471 weeks
43887.6027 -131.2145 (438*2π)/4471 weeks
43999.08096 -137.601 (439*2π)/4471 weeks
440123.6989 -137.7864 (440*2π)/4471 weeks
441144.7803 -130.6956 (441*2π)/4471 weeks
442157.2137 -122.7829 (442*2π)/4471 weeks
443170.4809 -127.7261 (443*2π)/4471 weeks
444194.876 -121.9586 (444*2π)/4471 weeks
445226.6437 -109.83 (445*2π)/4471 weeks



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