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Fourier Analysis of EDZ (Direxion Emerging Markets Bear )


EDZ (Direxion Emerging Markets Bear ) appears to have interesting cyclic behaviour every 42 weeks (135.1766*sine), 35 weeks (129.7572*sine), and 38 weeks (128.984*sine).

EDZ (Direxion Emerging Markets Bear ) has an average price of 220.68 (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 1/9/2017 for EDZ (Direxion Emerging Markets Bear ), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0220.6784   0 
1293.7618 106.7447 (1*2π)/420420 weeks
2239.4032 116.828 (2*2π)/420210 weeks
3202.8956 127.5896 (3*2π)/420140 weeks
4173.0523 132.1449 (4*2π)/420105 weeks
5162.1393 133.1448 (5*2π)/42084 weeks
6145.4876 144.589 (6*2π)/42070 weeks
7121.5427 150.068 (7*2π)/42060 weeks
899.70274 141.1195 (8*2π)/42053 weeks
989.05391 137.6191 (9*2π)/42047 weeks
1070.18371 135.1766 (10*2π)/42042 weeks
1166.37111 128.984 (11*2π)/42038 weeks
1255.12151 129.7572 (12*2π)/42035 weeks
1339.02527 125.1998 (13*2π)/42032 weeks
1434.45456 117.1408 (14*2π)/42030 weeks
1526.36587 116.2041 (15*2π)/42028 weeks
1619.90252 111.2313 (16*2π)/42026 weeks
1710.84156 106.1416 (17*2π)/42025 weeks
182.18508 98.40137 (18*2π)/42023 weeks
19-3.55272 91.44849 (19*2π)/42022 weeks
20-9.79942 83.79801 (20*2π)/42021 weeks
21-9.11614 77.43167 (21*2π)/42020 weeks
22-12.30398 72.99729 (22*2π)/42019 weeks
23-13.14715 65.70782 (23*2π)/42018 weeks
24-15.23504 61.37173 (24*2π)/42018 weeks
25-18.82008 53.55229 (25*2π)/42017 weeks
26-18.31155 43.80153 (26*2π)/42016 weeks
27-14.37619 39.47089 (27*2π)/42016 weeks
28-12.7231 35.00025 (28*2π)/42015 weeks
29-8.26607 32.12001 (29*2π)/42014 weeks
30-6.52345 32.44054 (30*2π)/42014 weeks
31-8.48949 30.82663 (31*2π)/42014 weeks
32-7.91281 24.51888 (32*2π)/42013 weeks
33-3.41686 22.94194 (33*2π)/42013 weeks
34-1.37158 21.72714 (34*2π)/42012 weeks
351.75835 20.45133 (35*2π)/42012 weeks
362.56058 20.68376 (36*2π)/42012 weeks
371.75805 19.06565 (37*2π)/42011 weeks
384.43218 19.4856 (38*2π)/42011 weeks
393.97166 17.71071 (39*2π)/42011 weeks
406.52365 15.57603 (40*2π)/42011 weeks
418.79777 14.51936 (41*2π)/42010 weeks
4210.81492 14.74731 (42*2π)/42010 weeks
4313.97636 13.86592 (43*2π)/42010 weeks
4415.69266 15.87166 (44*2π)/42010 weeks
4517.55922 17.36017 (45*2π)/4209 weeks
4618.88167 18.11378 (46*2π)/4209 weeks
4721.62438 21.10263 (47*2π)/4209 weeks
4820.60744 24.30739 (48*2π)/4209 weeks
4920.375 25.57538 (49*2π)/4209 weeks
5020.40392 28.44842 (50*2π)/4208 weeks
5117.57747 30.89432 (51*2π)/4208 weeks
5217.15875 31.59252 (52*2π)/4208 weeks
5315.16714 35.19482 (53*2π)/4208 weeks
5410.83989 35.4502 (54*2π)/4208 weeks
558.19164 34.39658 (55*2π)/4208 weeks
566.34774 34.06567 (56*2π)/4208 weeks
574.5083 31.87408 (57*2π)/4207 weeks
584.86866 30.59242 (58*2π)/4207 weeks
595.06512 33.00487 (59*2π)/4207 weeks
60.67624 33.12452 (60*2π)/4207 weeks
61-.28446 30.41468 (61*2π)/4207 weeks
62-.89311 30.92952 (62*2π)/4207 weeks
63-4.00659 28.70198 (63*2π)/4207 weeks
64-3.07563 27.05376 (64*2π)/4207 weeks
65-4.00908 27.88991 (65*2π)/4206 weeks
66-6.0273 26.25857 (66*2π)/4206 weeks
67-6.8777 25.6288 (67*2π)/4206 weeks
68-8.06386 24.91502 (68*2π)/4206 weeks
69-10.01057 23.06176 (69*2π)/4206 weeks
70-10.61519 20.72473 (70*2π)/4206 weeks
71-11.54942 18.32848 (71*2π)/4206 weeks
72-11.9092 15.16908 (72*2π)/4206 weeks
73-9.86242 13.18539 (73*2π)/4206 weeks
74-9.56184 11.95345 (74*2π)/4206 weeks
75-9.08731 11.19477 (75*2π)/4206 weeks
76-8.59867 10.52439 (76*2π)/4206 weeks
77-8.38785 9.95046 (77*2π)/4205 weeks
78-7.75564 8.90157 (78*2π)/4205 weeks
79-6.76551 7.73542 (79*2π)/4205 weeks
80-6.45728 6.99252 (80*2π)/4205 weeks
81-6.2788 5.90951 (81*2π)/4205 weeks
82-6.47988 5.01392 (82*2π)/4205 weeks
83-5.73594 4.02164 (83*2π)/4205 weeks
84-5.05841 3.42982 (84*2π)/4205 weeks
85-3.67782 2.82331 (85*2π)/4205 weeks
86-3.0205 2.79254 (86*2π)/4205 weeks
87-3.49843 1.79595 (87*2π)/4205 weeks
88-2.07575 .37542 (88*2π)/4205 weeks
89-1.46933 .57383 (89*2π)/4205 weeks
90-1.19346 .73114 (90*2π)/4205 weeks
91-.96772 .22201 (91*2π)/4205 weeks
92-.51399 -.13201 (92*2π)/4205 weeks
93-.45024 -1.21948 (93*2π)/4205 weeks
94.62919 -2.63029 (94*2π)/4204 weeks
952.59926 -3.11212 (95*2π)/4204 weeks
962.99151 -3.38999 (96*2π)/4204 weeks
974.73183 -4.00641 (97*2π)/4204 weeks
986.06393 -2.82863 (98*2π)/4204 weeks
996.26066 -2.27986 (99*2π)/4204 weeks
1006.4581 -2.41179 (100*2π)/4204 weeks
1017.0431 -2.68835 (101*2π)/4204 weeks
1028.44576 -2.89287 (102*2π)/4204 weeks
1039.9835 -2.77806 (103*2π)/4204 weeks
10410.3808 -2.55148 (104*2π)/4204 weeks
10512.00981 -2.67852 (105*2π)/4204 weeks
10614.01536 -.68339 (106*2π)/4204 weeks
10714.31231 1.41762 (107*2π)/4204 weeks
10814.52239 2.65393 (108*2π)/4204 weeks
10914.56641 4.96369 (109*2π)/4204 weeks
11012.83001 6.13405 (110*2π)/4204 weeks
11112.05837 5.8584 (111*2π)/4204 weeks
11211.59969 6.76777 (112*2π)/4204 weeks
1139.94308 7.15573 (113*2π)/4204 weeks
1149.86265 6.70422 (114*2π)/4204 weeks
1159.01786 7.18295 (115*2π)/4204 weeks
1168.26026 6.21725 (116*2π)/4204 weeks
1178.79641 5.53082 (117*2π)/4204 weeks
1188.88729 5.90974 (118*2π)/4204 weeks
1198.80868 5.73486 (119*2π)/4204 weeks
1208.6622 6.05928 (120*2π)/4204 weeks
1217.96508 6.91274 (121*2π)/4203 weeks
1226.90203 5.54355 (122*2π)/4203 weeks
1237.78729 4.66507 (123*2π)/4203 weeks
1248.49762 4.70898 (124*2π)/4203 weeks
1258.96641 5.14155 (125*2π)/4203 weeks
1268.67437 5.88577 (126*2π)/4203 weeks
1278.34429 6.22009 (127*2π)/4203 weeks
1287.83275 6.49469 (128*2π)/4203 weeks
1296.92708 6.21971 (129*2π)/4203 weeks
1306.99941 5.65463 (130*2π)/4203 weeks
1316.88525 5.26964 (131*2π)/4203 weeks
1326.91207 5.59067 (132*2π)/4203 weeks
1336.77469 5.23322 (133*2π)/4203 weeks
1346.96077 5.18837 (134*2π)/4203 weeks
1356.7834 4.74451 (135*2π)/4203 weeks
1367.17704 4.43228 (136*2π)/4203 weeks
1377.26633 4.73438 (137*2π)/4203 weeks
1387.1782 4.65616 (138*2π)/4203 weeks
1397.31318 4.76815 (139*2π)/4203 weeks
1407.14214 5.22436 (140*2π)/4203 weeks
1417.20672 4.9541 (141*2π)/4203 weeks
1426.91052 5.15839 (142*2π)/4203 weeks
1436.57384 4.69929 (143*2π)/4203 weeks
1447.0123 4.52 (144*2π)/4203 weeks
1456.8933 5.24558 (145*2π)/4203 weeks
1466.70417 5.15401 (146*2π)/4203 weeks
1476.62919 5.1247 (147*2π)/4203 weeks
1485.67075 5.17256 (148*2π)/4203 weeks
1495.29379 3.9708 (149*2π)/4203 weeks
1506.59229 3.93065 (150*2π)/4203 weeks
1516.73945 4.20465 (151*2π)/4203 weeks
1527.20761 4.11833 (152*2π)/4203 weeks
1537.71971 5.00902 (153*2π)/4203 weeks
1546.44392 5.52658 (154*2π)/4203 weeks
1556.76694 4.92714 (155*2π)/4203 weeks
1567.04542 6.46136 (156*2π)/4203 weeks
1575.58203 7.21143 (157*2π)/4203 weeks
1584.53091 7.15599 (158*2π)/4203 weeks
1593.43102 6.87122 (159*2π)/4203 weeks
1602.2395 5.83538 (160*2π)/4203 weeks
1612.24932 4.98958 (161*2π)/4203 weeks
1621.80531 4.63892 (162*2π)/4203 weeks
163.86691 4.47031 (163*2π)/4203 weeks
164.76623 2.77594 (164*2π)/4203 weeks
165.09879 1.98821 (165*2π)/4203 weeks
166-.01701 .02293 (166*2π)/4203 weeks
1671.16557 -1.11907 (167*2π)/4203 weeks
1682.53422 -1.65763 (168*2π)/4203 weeks
1693.40135 -1.76849 (169*2π)/4202 weeks
1703.59521 -1.62208 (170*2π)/4202 weeks
1713.68189 -2.48134 (171*2π)/4202 weeks
1724.8136 -2.85266 (172*2π)/4202 weeks
1735.49008 -2.84943 (173*2π)/4202 weeks
1746.26727 -2.76325 (174*2π)/4202 weeks
1757.22355 -1.90285 (175*2π)/4202 weeks
1767.16097 -1.53327 (176*2π)/4202 weeks
1777.27357 -1.60714 (177*2π)/4202 weeks
1787.31549 -1.51153 (178*2π)/4202 weeks
1797.27916 -1.26685 (179*2π)/4202 weeks
1807.6347 -1.62099 (180*2π)/4202 weeks
1818.09025 -1.28898 (181*2π)/4202 weeks
1828.09373 -1.37045 (182*2π)/4202 weeks
1838.74874 -1.77908 (183*2π)/4202 weeks
1849.21295 -.86655 (184*2π)/4202 weeks
1858.74062 -.89017 (185*2π)/4202 weeks
1869.75142 -.56199 (186*2π)/4202 weeks
1879.82483 .59444 (187*2π)/4202 weeks
1889.12763 .68762 (188*2π)/4202 weeks
1899.12159 .27257 (189*2π)/4202 weeks
1909.00644 .81262 (190*2π)/4202 weeks
1919.0166 .66223 (191*2π)/4202 weeks
1929.32899 .79072 (192*2π)/4202 weeks
1939.54649 1.52399 (193*2π)/4202 weeks
1949.59225 1.72991 (194*2π)/4202 weeks
1959.95122 2.44717 (195*2π)/4202 weeks
1969.014 3.29345 (196*2π)/4202 weeks
1978.18529 2.87692 (197*2π)/4202 weeks
1988.57667 2.83735 (198*2π)/4202 weeks
1998.09093 3.81747 (199*2π)/4202 weeks
2006.88781 4.15066 (200*2π)/4202 weeks
2015.55777 3.86703 (201*2π)/4202 weeks
2025.42694 3.11239 (202*2π)/4202 weeks
2035.42037 2.50437 (203*2π)/4202 weeks
2046.36638 2.4411 (204*2π)/4202 weeks
2055.46576 3.24543 (205*2π)/4202 weeks
2063.93001 2.91609 (206*2π)/4202 weeks
2073.25254 1.71144 (207*2π)/4202 weeks
2083.12155 1.02661 (208*2π)/4202 weeks
2093.82783 -.15232 (209*2π)/4202 weeks
2104.34024   (210*2π)/4202 weeks
2113.82783 .15232 (211*2π)/4202 weeks
2123.12155 -1.02661 (212*2π)/4202 weeks
2133.25254 -1.71144 (213*2π)/4202 weeks
2143.93001 -2.91609 (214*2π)/4202 weeks
2155.46576 -3.24543 (215*2π)/4202 weeks
2166.36638 -2.4411 (216*2π)/4202 weeks
2175.42037 -2.50437 (217*2π)/4202 weeks
2185.42694 -3.11239 (218*2π)/4202 weeks
2195.55777 -3.86703 (219*2π)/4202 weeks
2206.88781 -4.15066 (220*2π)/4202 weeks
2218.09093 -3.81747 (221*2π)/4202 weeks
2228.57667 -2.83735 (222*2π)/4202 weeks
2238.18529 -2.87692 (223*2π)/4202 weeks
2249.014 -3.29345 (224*2π)/4202 weeks
2259.95122 -2.44717 (225*2π)/4202 weeks
2269.59225 -1.72991 (226*2π)/4202 weeks
2279.54649 -1.52399 (227*2π)/4202 weeks
2289.32899 -.79072 (228*2π)/4202 weeks
2299.0166 -.66223 (229*2π)/4202 weeks
2309.00644 -.81262 (230*2π)/4202 weeks
2319.12159 -.27257 (231*2π)/4202 weeks
2329.12763 -.68762 (232*2π)/4202 weeks
2339.82483 -.59444 (233*2π)/4202 weeks
2349.75142 .56199 (234*2π)/4202 weeks
2358.74062 .89017 (235*2π)/4202 weeks
2369.21295 .86655 (236*2π)/4202 weeks
2378.74874 1.77908 (237*2π)/4202 weeks
2388.09373 1.37045 (238*2π)/4202 weeks
2398.09025 1.28898 (239*2π)/4202 weeks
2407.6347 1.62099 (240*2π)/4202 weeks
2417.27916 1.26685 (241*2π)/4202 weeks
2427.31549 1.51153 (242*2π)/4202 weeks
2437.27357 1.60714 (243*2π)/4202 weeks
2447.16097 1.53327 (244*2π)/4202 weeks
2457.22355 1.90285 (245*2π)/4202 weeks
2466.26727 2.76325 (246*2π)/4202 weeks
2475.49008 2.84943 (247*2π)/4202 weeks
2484.8136 2.85266 (248*2π)/4202 weeks
2493.68189 2.48134 (249*2π)/4202 weeks
2503.59521 1.62208 (250*2π)/4202 weeks
2513.40135 1.76849 (251*2π)/4202 weeks
2522.53422 1.65763 (252*2π)/4202 weeks
2531.16557 1.11907 (253*2π)/4202 weeks
254-.01701 -.02293 (254*2π)/4202 weeks
255.09879 -1.98821 (255*2π)/4202 weeks
256.76623 -2.77594 (256*2π)/4202 weeks
257.86691 -4.47031 (257*2π)/4202 weeks
2581.80531 -4.63892 (258*2π)/4202 weeks
2592.24932 -4.98958 (259*2π)/4202 weeks
2602.2395 -5.83538 (260*2π)/4202 weeks
2613.43102 -6.87122 (261*2π)/4202 weeks
2624.53091 -7.15599 (262*2π)/4202 weeks
2635.58203 -7.21143 (263*2π)/4202 weeks
2647.04542 -6.46136 (264*2π)/4202 weeks
2656.76694 -4.92714 (265*2π)/4202 weeks
2666.44392 -5.52658 (266*2π)/4202 weeks
2677.71971 -5.00902 (267*2π)/4202 weeks
2687.20761 -4.11833 (268*2π)/4202 weeks
2696.73945 -4.20465 (269*2π)/4202 weeks
2706.59229 -3.93065 (270*2π)/4202 weeks
2715.29379 -3.9708 (271*2π)/4202 weeks
2725.67075 -5.17256 (272*2π)/4202 weeks
2736.62919 -5.1247 (273*2π)/4202 weeks
2746.70417 -5.15401 (274*2π)/4202 weeks
2756.8933 -5.24558 (275*2π)/4202 weeks
2767.0123 -4.52 (276*2π)/4202 weeks
2776.57384 -4.69929 (277*2π)/4202 weeks
2786.91052 -5.15839 (278*2π)/4202 weeks
2797.20672 -4.9541 (279*2π)/4202 weeks
2807.14214 -5.22436 (280*2π)/4202 weeks
2817.31318 -4.76815 (281*2π)/4201 weeks
2827.1782 -4.65616 (282*2π)/4201 weeks
2837.26633 -4.73438 (283*2π)/4201 weeks
2847.17704 -4.43228 (284*2π)/4201 weeks
2856.7834 -4.74451 (285*2π)/4201 weeks
2866.96077 -5.18837 (286*2π)/4201 weeks
2876.77469 -5.23322 (287*2π)/4201 weeks
2886.91207 -5.59067 (288*2π)/4201 weeks
2896.88525 -5.26964 (289*2π)/4201 weeks
2906.99941 -5.65463 (290*2π)/4201 weeks
2916.92708 -6.21971 (291*2π)/4201 weeks
2927.83275 -6.49469 (292*2π)/4201 weeks
2938.34429 -6.22009 (293*2π)/4201 weeks
2948.67437 -5.88577 (294*2π)/4201 weeks
2958.96641 -5.14155 (295*2π)/4201 weeks
2968.49762 -4.70898 (296*2π)/4201 weeks
2977.78729 -4.66507 (297*2π)/4201 weeks
2986.90203 -5.54355 (298*2π)/4201 weeks
2997.96508 -6.91274 (299*2π)/4201 weeks
3008.6622 -6.05928 (300*2π)/4201 weeks
3018.80868 -5.73486 (301*2π)/4201 weeks
3028.88729 -5.90974 (302*2π)/4201 weeks
3038.79641 -5.53082 (303*2π)/4201 weeks
3048.26026 -6.21725 (304*2π)/4201 weeks
3059.01786 -7.18295 (305*2π)/4201 weeks
3069.86265 -6.70422 (306*2π)/4201 weeks
3079.94308 -7.15573 (307*2π)/4201 weeks
30811.59969 -6.76777 (308*2π)/4201 weeks
30912.05837 -5.8584 (309*2π)/4201 weeks
31012.83001 -6.13405 (310*2π)/4201 weeks
31114.56641 -4.96369 (311*2π)/4201 weeks
31214.52239 -2.65393 (312*2π)/4201 weeks
31314.31231 -1.41762 (313*2π)/4201 weeks
31414.01536 .68339 (314*2π)/4201 weeks
31512.00981 2.67852 (315*2π)/4201 weeks
31610.3808 2.55148 (316*2π)/4201 weeks
3179.9835 2.77806 (317*2π)/4201 weeks
3188.44576 2.89287 (318*2π)/4201 weeks
3197.0431 2.68835 (319*2π)/4201 weeks
3206.4581 2.41179 (320*2π)/4201 weeks
3216.26066 2.27986 (321*2π)/4201 weeks
3226.06393 2.82863 (322*2π)/4201 weeks
3234.73183 4.00641 (323*2π)/4201 weeks
3242.99151 3.38999 (324*2π)/4201 weeks
3252.59926 3.11212 (325*2π)/4201 weeks
326.62919 2.63029 (326*2π)/4201 weeks
327-.45024 1.21948 (327*2π)/4201 weeks
328-.51399 .13201 (328*2π)/4201 weeks
329-.96772 -.22201 (329*2π)/4201 weeks
330-1.19346 -.73114 (330*2π)/4201 weeks
331-1.46933 -.57383 (331*2π)/4201 weeks
332-2.07575 -.37542 (332*2π)/4201 weeks
333-3.49843 -1.79595 (333*2π)/4201 weeks
334-3.0205 -2.79254 (334*2π)/4201 weeks
335-3.67782 -2.82331 (335*2π)/4201 weeks
336-5.05841 -3.42982 (336*2π)/4201 weeks
337-5.73594 -4.02164 (337*2π)/4201 weeks
338-6.47988 -5.01392 (338*2π)/4201 weeks
339-6.2788 -5.90951 (339*2π)/4201 weeks
340-6.45728 -6.99252 (340*2π)/4201 weeks
341-6.76551 -7.73542 (341*2π)/4201 weeks
342-7.75564 -8.90157 (342*2π)/4201 weeks
343-8.38785 -9.95046 (343*2π)/4201 weeks
344-8.59867 -10.52439 (344*2π)/4201 weeks
345-9.08731 -11.19477 (345*2π)/4201 weeks
346-9.56184 -11.95345 (346*2π)/4201 weeks
347-9.86242 -13.18539 (347*2π)/4201 weeks
348-11.9092 -15.16908 (348*2π)/4201 weeks
349-11.54942 -18.32848 (349*2π)/4201 weeks
350-10.61519 -20.72473 (350*2π)/4201 weeks
351-10.01057 -23.06176 (351*2π)/4201 weeks
352-8.06386 -24.91502 (352*2π)/4201 weeks
353-6.8777 -25.6288 (353*2π)/4201 weeks
354-6.0273 -26.25857 (354*2π)/4201 weeks
355-4.00908 -27.88991 (355*2π)/4201 weeks
356-3.07563 -27.05376 (356*2π)/4201 weeks
357-4.00659 -28.70198 (357*2π)/4201 weeks
358-.89311 -30.92952 (358*2π)/4201 weeks
359-.28446 -30.41468 (359*2π)/4201 weeks
360.67624 -33.12452 (360*2π)/4201 weeks
3615.06512 -33.00487 (361*2π)/4201 weeks
3624.86866 -30.59242 (362*2π)/4201 weeks
3634.5083 -31.87408 (363*2π)/4201 weeks
3646.34774 -34.06567 (364*2π)/4201 weeks
3658.19164 -34.39658 (365*2π)/4201 weeks
36610.83989 -35.4502 (366*2π)/4201 weeks
36715.16714 -35.19482 (367*2π)/4201 weeks
36817.15875 -31.59252 (368*2π)/4201 weeks
36917.57747 -30.89432 (369*2π)/4201 weeks
37020.40392 -28.44842 (370*2π)/4201 weeks
37120.375 -25.57538 (371*2π)/4201 weeks
37220.60744 -24.30739 (372*2π)/4201 weeks
37321.62438 -21.10263 (373*2π)/4201 weeks
37418.88167 -18.11378 (374*2π)/4201 weeks
37517.55922 -17.36017 (375*2π)/4201 weeks
37615.69266 -15.87166 (376*2π)/4201 weeks
37713.97636 -13.86592 (377*2π)/4201 weeks
37810.81492 -14.74731 (378*2π)/4201 weeks
3798.79777 -14.51936 (379*2π)/4201 weeks
3806.52365 -15.57603 (380*2π)/4201 weeks
3813.97166 -17.71071 (381*2π)/4201 weeks
3824.43218 -19.4856 (382*2π)/4201 weeks
3831.75805 -19.06565 (383*2π)/4201 weeks
3842.56058 -20.68376 (384*2π)/4201 weeks
3851.75835 -20.45133 (385*2π)/4201 weeks
386-1.37158 -21.72714 (386*2π)/4201 weeks
387-3.41686 -22.94194 (387*2π)/4201 weeks
388-7.91281 -24.51888 (388*2π)/4201 weeks
389-8.48949 -30.82663 (389*2π)/4201 weeks
390-6.52345 -32.44054 (390*2π)/4201 weeks
391-8.26607 -32.12001 (391*2π)/4201 weeks
392-12.7231 -35.00025 (392*2π)/4201 weeks
393-14.37619 -39.47089 (393*2π)/4201 weeks
394-18.31155 -43.80153 (394*2π)/4201 weeks
395-18.82008 -53.55229 (395*2π)/4201 weeks
396-15.23504 -61.37173 (396*2π)/4201 weeks
397-13.14715 -65.70782 (397*2π)/4201 weeks
398-12.30398 -72.99729 (398*2π)/4201 weeks
399-9.11614 -77.43167 (399*2π)/4201 weeks
400-9.79942 -83.79801 (400*2π)/4201 weeks
401-3.55272 -91.44849 (401*2π)/4201 weeks
4022.18508 -98.40137 (402*2π)/4201 weeks
40310.84156 -106.1416 (403*2π)/4201 weeks
40419.90252 -111.2313 (404*2π)/4201 weeks
40526.36587 -116.2041 (405*2π)/4201 weeks
40634.45456 -117.1408 (406*2π)/4201 weeks
40739.02527 -125.1998 (407*2π)/4201 weeks
40855.12151 -129.7572 (408*2π)/4201 weeks
40966.37111 -128.984 (409*2π)/4201 weeks
41070.18371 -135.1766 (410*2π)/4201 weeks
41189.05391 -137.6191 (411*2π)/4201 weeks
41299.70274 -141.1195 (412*2π)/4201 weeks
413121.5427 -150.068 (413*2π)/4201 weeks
414145.4876 -144.589 (414*2π)/4201 weeks
415162.1393 -133.1448 (415*2π)/4201 weeks
416173.0523 -132.1449 (416*2π)/4201 weeks
417202.8956 -127.5896 (417*2π)/4201 weeks
418239.4032 -116.828 (418*2π)/4201 weeks

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