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


ERY (Direxion Daily Energy Bear 3x Shares ETF) appears to have interesting cyclic behaviour every 45 weeks (50.1227*sine), 41 weeks (45.6336*sine), and 16 weeks (18.8829*cosine).

ERY (Direxion Daily Energy Bear 3x Shares ETF) has an average price of 161.26 (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 7/10/2017 for ERY (Direxion Daily Energy Bear 3x Shares ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0161.256   0 
1192.4594 129.3768 (1*2π)/452452 weeks
2103.2507 124.5937 (2*2π)/452226 weeks
361.85851 105.8367 (3*2π)/452151 weeks
453.78187 83.11874 (4*2π)/452113 weeks
553.40974 80.78956 (5*2π)/45290 weeks
638.29509 86.80729 (6*2π)/45275 weeks
714.90327 80.79347 (7*2π)/45265 weeks
81.50692 59.9536 (8*2π)/45257 weeks
98.45089 48.02187 (9*2π)/45250 weeks
1010.7814 50.12267 (10*2π)/45245 weeks
112.34734 45.63362 (11*2π)/45241 weeks
121.22278 39.36095 (12*2π)/45238 weeks
13-.55731 35.93268 (13*2π)/45235 weeks
14-1.80898 28.08211 (14*2π)/45232 weeks
151.31382 28.00315 (15*2π)/45230 weeks
16-2.8126 27.86038 (16*2π)/45228 weeks
17-3.87446 23.03719 (17*2π)/45227 weeks
18-5.11897 17.37346 (18*2π)/45225 weeks
19-3.22111 10.17144 (19*2π)/45224 weeks
20.07912 7.68546 (20*2π)/45223 weeks
214.90751 5.24734 (21*2π)/45222 weeks
229.81078 7.65983 (22*2π)/45221 weeks
2310.19154 7.13425 (23*2π)/45220 weeks
2413.30305 6.77684 (24*2π)/45219 weeks
2514.2155 9.54679 (25*2π)/45218 weeks
2613.83305 9.91177 (26*2π)/45217 weeks
2717.28505 10.30622 (27*2π)/45217 weeks
2818.88293 15.07748 (28*2π)/45216 weeks
2915.55606 17.96974 (29*2π)/45216 weeks
3013.29267 18.22551 (30*2π)/45215 weeks
3111.45144 18.60047 (31*2π)/45215 weeks
329.81271 18.02166 (32*2π)/45214 weeks
3310.23333 16.82233 (33*2π)/45214 weeks
3410.84304 18.73457 (34*2π)/45213 weeks
357.1555 20.11149 (35*2π)/45213 weeks
364.92357 18.158 (36*2π)/45213 weeks
374.72212 16.82153 (37*2π)/45212 weeks
383.82049 15.43906 (38*2π)/45212 weeks
394.12955 13.96068 (39*2π)/45212 weeks
405.03715 14.6452 (40*2π)/45211 weeks
414.77514 14.6603 (41*2π)/45211 weeks
423.83611 15.25901 (42*2π)/45211 weeks
432.66217 15.44102 (43*2π)/45211 weeks
44.98482 15.60622 (44*2π)/45210 weeks
45-1.23973 14.43116 (45*2π)/45210 weeks
46-3.09794 12.73882 (46*2π)/45210 weeks
47-3.93855 9.6119 (47*2π)/45210 weeks
48-3.308 6.66984 (48*2π)/4529 weeks
49-2.54911 5.26215 (49*2π)/4529 weeks
50-2.20655 2.35806 (50*2π)/4529 weeks
511.15311 .42542 (51*2π)/4529 weeks
523.55975 1.18416 (52*2π)/4529 weeks
534.78238 1.01965 (53*2π)/4529 weeks
546.02416 1.37114 (54*2π)/4528 weeks
556.62444 2.53175 (55*2π)/4528 weeks
567.37821 .81267 (56*2π)/4528 weeks
5711.3246 1.93847 (57*2π)/4528 weeks
5811.84459 5.96656 (58*2π)/4528 weeks
5910.51728 8.38968 (59*2π)/4528 weeks
608.94293 9.22032 (60*2π)/4528 weeks
616.45434 9.51701 (61*2π)/4527 weeks
625.36973 6.9431 (62*2π)/4527 weeks
638.18681 5.44931 (63*2π)/4527 weeks
649.1712 8.72706 (64*2π)/4527 weeks
656.64122 10.43068 (65*2π)/4527 weeks
665.74112 8.98124 (66*2π)/4527 weeks
675.61765 9.02224 (67*2π)/4527 weeks
684.56733 8.40611 (68*2π)/4527 weeks
696.18656 7.89893 (69*2π)/4527 weeks
706.38357 10.18836 (70*2π)/4526 weeks
713.98025 11.26343 (71*2π)/4526 weeks
722.40295 10.86702 (72*2π)/4526 weeks
731.363 10.13267 (73*2π)/4526 weeks
74-.14511 9.57102 (74*2π)/4526 weeks
75-1.48622 8.16047 (75*2π)/4526 weeks
76-2.4018 6.60656 (76*2π)/4526 weeks
77-3.64063 4.25051 (77*2π)/4526 weeks
78-2.60084 .80376 (78*2π)/4526 weeks
79.38679 -.23426 (79*2π)/4526 weeks
802.28888 -.41662 (80*2π)/4526 weeks
813.41495 .04909 (81*2π)/4526 weeks
823.70769 .33583 (82*2π)/4526 weeks
834.0174 .16671 (83*2π)/4525 weeks
845.23415 .10852 (84*2π)/4525 weeks
856.50755 1.19644 (85*2π)/4525 weeks
866.49025 2.02723 (86*2π)/4525 weeks
876.27924 2.37041 (87*2π)/4525 weeks
885.71064 2.43459 (88*2π)/4525 weeks
896.07697 2.37524 (89*2π)/4525 weeks
906.54411 3.15011 (90*2π)/4525 weeks
916.26346 3.79657 (91*2π)/4525 weeks
925.18163 3.89488 (92*2π)/4525 weeks
934.52152 2.73213 (93*2π)/4525 weeks
945.53825 2.15036 (94*2π)/4525 weeks
955.68968 2.88195 (95*2π)/4525 weeks
965.61693 2.59645 (96*2π)/4525 weeks
976.03946 2.19038 (97*2π)/4525 weeks
986.6702 2.48999 (98*2π)/4525 weeks
996.50509 2.90098 (99*2π)/4525 weeks
1006.8315 2.85958 (100*2π)/4525 weeks
1017.30109 3.40777 (101*2π)/4524 weeks
1027.29894 4.43281 (102*2π)/4524 weeks
1036.95299 4.98657 (103*2π)/4524 weeks
1045.70495 5.48753 (104*2π)/4524 weeks
1054.30633 4.90367 (105*2π)/4524 weeks
1064.20282 3.41908 (106*2π)/4524 weeks
1075.39744 2.48733 (107*2π)/4524 weeks
1086.98765 3.19775 (108*2π)/4524 weeks
1097.40856 4.71976 (109*2π)/4524 weeks
1106.00203 5.89659 (110*2π)/4524 weeks
1114.47696 5.48236 (111*2π)/4524 weeks
1124.81679 5.41685 (112*2π)/4524 weeks
1134.13173 6.23823 (113*2π)/4524 weeks
1142.42186 5.47806 (114*2π)/4524 weeks
1151.93132 3.99401 (115*2π)/4524 weeks
1161.66345 2.94726 (116*2π)/4524 weeks
1172.13238 1.1839 (117*2π)/4524 weeks
1184.28451 .76682 (118*2π)/4524 weeks
1195.39878 1.88175 (119*2π)/4524 weeks
1205.18215 2.23657 (120*2π)/4524 weeks
1215.31941 2.46568 (121*2π)/4524 weeks
1225.42323 2.94925 (122*2π)/4524 weeks
1235.75469 3.101 (123*2π)/4524 weeks
1246.357 4.42299 (124*2π)/4524 weeks
1254.81615 5.93669 (125*2π)/4524 weeks
1262.71142 5.30675 (126*2π)/4524 weeks
1271.92094 3.92874 (127*2π)/4524 weeks
1282.03769 2.79683 (128*2π)/4524 weeks
1292.91282 2.08453 (129*2π)/4524 weeks
1303.93604 2.61249 (130*2π)/4523 weeks
1313.12883 3.58191 (131*2π)/4523 weeks
1322.01158 2.89645 (132*2π)/4523 weeks
1332.05563 1.94208 (133*2π)/4523 weeks
1342.40958 1.45768 (134*2π)/4523 weeks
1353.08171 1.35059 (135*2π)/4523 weeks
1362.83594 1.53023 (136*2π)/4523 weeks
1373.01298 .90926 (137*2π)/4523 weeks
1383.31301 1.09496 (138*2π)/4523 weeks
1393.29332 1.00583 (139*2π)/4523 weeks
1403.68184 .95665 (140*2π)/4523 weeks
1413.60122 1.17631 (141*2π)/4523 weeks
1423.54797 1.51532 (142*2π)/4523 weeks
1433.33139 1.56055 (143*2π)/4523 weeks
1442.9903 1.45643 (144*2π)/4523 weeks
1452.54155 .96957 (145*2π)/4523 weeks
1462.51349 .14255 (146*2π)/4523 weeks
1473.3559 -.18281 (147*2π)/4523 weeks
1483.55367 .28217 (148*2π)/4523 weeks
1493.56753 .05224 (149*2π)/4523 weeks
1503.94643 .25798 (150*2π)/4523 weeks
1513.63101 .40982 (151*2π)/4523 weeks
1523.54676 .57723 (152*2π)/4523 weeks
1532.93698 .54081 (153*2π)/4523 weeks
1543.02381 -.5334 (154*2π)/4523 weeks
1553.8559 -.56152 (155*2π)/4523 weeks
1563.66228 .01098 (156*2π)/4523 weeks
1573.40723 -.1276 (157*2π)/4523 weeks
1583.39818 -.27913 (158*2π)/4523 weeks
1592.90583 -.58762 (159*2π)/4523 weeks
1602.96413 -1.73636 (160*2π)/4523 weeks
1614.37395 -1.94863 (161*2π)/4523 weeks
1624.70263 -1.12103 (162*2π)/4523 weeks
1634.56346 -.87102 (163*2π)/4523 weeks
1644.54254 -.61057 (164*2π)/4523 weeks
1653.71662 -.277 (165*2π)/4523 weeks
1663.49881 -1.42768 (166*2π)/4523 weeks
1674.40977 -1.28606 (167*2π)/4523 weeks
1683.56679 -.88036 (168*2π)/4523 weeks
1693.02243 -1.81342 (169*2π)/4523 weeks
1703.04369 -2.9001 (170*2π)/4523 weeks
1713.7118 -3.75307 (171*2π)/4523 weeks
1724.77291 -4.35317 (172*2π)/4523 weeks
1736.09875 -4.48438 (173*2π)/4523 weeks
1746.74985 -3.72972 (174*2π)/4523 weeks
1756.75014 -3.68795 (175*2π)/4523 weeks
1767.93426 -3.89699 (176*2π)/4523 weeks
1778.73768 -3.15808 (177*2π)/4523 weeks
1789.39259 -2.53691 (178*2π)/4523 weeks
17910.05315 -1.12913 (179*2π)/4523 weeks
1809.6274 .332 (180*2π)/4523 weeks
1818.5326 1.11131 (181*2π)/4522 weeks
1827.41717 .94143 (182*2π)/4522 weeks
1837.49996 .41156 (183*2π)/4522 weeks
1847.75763 .98488 (184*2π)/4522 weeks
1857.08856 1.45317 (185*2π)/4522 weeks
1866.80608 1.15572 (186*2π)/4522 weeks
1876.17731 1.21351 (187*2π)/4522 weeks
1885.53243 .64272 (188*2π)/4522 weeks
1895.97242 .2361 (189*2π)/4522 weeks
1906.42574 .37283 (190*2π)/4522 weeks
1916.18009 .35274 (191*2π)/4522 weeks
1926.20736 .40404 (192*2π)/4522 weeks
1936.0724 .58688 (193*2π)/4522 weeks
1945.76952 .48787 (194*2π)/4522 weeks
1955.74526 .2901 (195*2π)/4522 weeks
1965.83205 .46872 (196*2π)/4522 weeks
1974.97629 .18922 (197*2π)/4522 weeks
1985.55764 -.58461 (198*2π)/4522 weeks
1995.77825 -.0035 (199*2π)/4522 weeks
2005.36769 -.5803 (200*2π)/4522 weeks
2015.80951 -.86071 (201*2π)/4522 weeks
2025.96616 -.46348 (202*2π)/4522 weeks
2035.87648 -.63254 (203*2π)/4522 weeks
2046.13736 -.97168 (204*2π)/4522 weeks
2056.23057 -.57507 (205*2π)/4522 weeks
2065.93312 -.578 (206*2π)/4522 weeks
2075.89648 -1.18711 (207*2π)/4522 weeks
2086.38341 -1.57105 (208*2π)/4522 weeks
2097.12861 -1.50021 (209*2π)/4522 weeks
2107.74039 -1.3802 (210*2π)/4522 weeks
2118.10944 -.20902 (211*2π)/4522 weeks
2127.25341 .38984 (212*2π)/4522 weeks
2137.11156 -.38214 (213*2π)/4522 weeks
2147.67135 -.29952 (214*2π)/4522 weeks
2157.84052 .60863 (215*2π)/4522 weeks
2167.37941 1.35691 (216*2π)/4522 weeks
2176.54134 .92974 (217*2π)/4522 weeks
2186.40343 .47416 (218*2π)/4522 weeks
2196.74933 .24394 (219*2π)/4522 weeks
2207.4238 .8887 (220*2π)/4522 weeks
2216.69938 1.94882 (221*2π)/4522 weeks
2225.44921 1.82209 (222*2π)/4522 weeks
2234.7444 .76099 (223*2π)/4522 weeks
2244.85833 .03346 (224*2π)/4522 weeks
2255.49847 -.51451 (225*2π)/4522 weeks
2266.38624   (226*2π)/4522 weeks
2275.49847 .51451 (227*2π)/4522 weeks
2284.85833 -.03346 (228*2π)/4522 weeks
2294.7444 -.76099 (229*2π)/4522 weeks
2305.44921 -1.82209 (230*2π)/4522 weeks
2316.69938 -1.94882 (231*2π)/4522 weeks
2327.4238 -.8887 (232*2π)/4522 weeks
2336.74933 -.24394 (233*2π)/4522 weeks
2346.40343 -.47416 (234*2π)/4522 weeks
2356.54134 -.92974 (235*2π)/4522 weeks
2367.37941 -1.35691 (236*2π)/4522 weeks
2377.84052 -.60863 (237*2π)/4522 weeks
2387.67135 .29952 (238*2π)/4522 weeks
2397.11156 .38214 (239*2π)/4522 weeks
2407.25341 -.38984 (240*2π)/4522 weeks
2418.10944 .20902 (241*2π)/4522 weeks
2427.74039 1.3802 (242*2π)/4522 weeks
2437.12861 1.50021 (243*2π)/4522 weeks
2446.38341 1.57105 (244*2π)/4522 weeks
2455.89648 1.18711 (245*2π)/4522 weeks
2465.93312 .578 (246*2π)/4522 weeks
2476.23057 .57507 (247*2π)/4522 weeks
2486.13736 .97168 (248*2π)/4522 weeks
2495.87648 .63254 (249*2π)/4522 weeks
2505.96616 .46348 (250*2π)/4522 weeks
2515.80951 .86071 (251*2π)/4522 weeks
2525.36769 .5803 (252*2π)/4522 weeks
2535.77825 .0035 (253*2π)/4522 weeks
2545.55764 .58461 (254*2π)/4522 weeks
2554.97629 -.18922 (255*2π)/4522 weeks
2565.83205 -.46872 (256*2π)/4522 weeks
2575.74526 -.2901 (257*2π)/4522 weeks
2585.76952 -.48787 (258*2π)/4522 weeks
2596.0724 -.58688 (259*2π)/4522 weeks
2606.20736 -.40404 (260*2π)/4522 weeks
2616.18009 -.35274 (261*2π)/4522 weeks
2626.42574 -.37283 (262*2π)/4522 weeks
2635.97242 -.2361 (263*2π)/4522 weeks
2645.53243 -.64272 (264*2π)/4522 weeks
2656.17731 -1.21351 (265*2π)/4522 weeks
2666.80608 -1.15572 (266*2π)/4522 weeks
2677.08856 -1.45317 (267*2π)/4522 weeks
2687.75763 -.98488 (268*2π)/4522 weeks
2697.49996 -.41156 (269*2π)/4522 weeks
2707.41717 -.94143 (270*2π)/4522 weeks
2718.5326 -1.11131 (271*2π)/4522 weeks
2729.6274 -.332 (272*2π)/4522 weeks
27310.05315 1.12913 (273*2π)/4522 weeks
2749.39259 2.53691 (274*2π)/4522 weeks
2758.73768 3.15808 (275*2π)/4522 weeks
2767.93426 3.89699 (276*2π)/4522 weeks
2776.75014 3.68795 (277*2π)/4522 weeks
2786.74985 3.72972 (278*2π)/4522 weeks
2796.09875 4.48438 (279*2π)/4522 weeks
2804.77291 4.35317 (280*2π)/4522 weeks
2813.7118 3.75307 (281*2π)/4522 weeks
2823.04369 2.9001 (282*2π)/4522 weeks
2833.02243 1.81342 (283*2π)/4522 weeks
2843.56679 .88036 (284*2π)/4522 weeks
2854.40977 1.28606 (285*2π)/4522 weeks
2863.49881 1.42768 (286*2π)/4522 weeks
2873.71662 .277 (287*2π)/4522 weeks
2884.54254 .61057 (288*2π)/4522 weeks
2894.56346 .87102 (289*2π)/4522 weeks
2904.70263 1.12103 (290*2π)/4522 weeks
2914.37395 1.94863 (291*2π)/4522 weeks
2922.96413 1.73636 (292*2π)/4522 weeks
2932.90583 .58762 (293*2π)/4522 weeks
2943.39818 .27913 (294*2π)/4522 weeks
2953.40723 .1276 (295*2π)/4522 weeks
2963.66228 -.01098 (296*2π)/4522 weeks
2973.8559 .56152 (297*2π)/4522 weeks
2983.02381 .5334 (298*2π)/4522 weeks
2992.93698 -.54081 (299*2π)/4522 weeks
3003.54676 -.57723 (300*2π)/4522 weeks
3013.63101 -.40982 (301*2π)/4522 weeks
3023.94643 -.25798 (302*2π)/4521 weeks
3033.56753 -.05224 (303*2π)/4521 weeks
3043.55367 -.28217 (304*2π)/4521 weeks
3053.3559 .18281 (305*2π)/4521 weeks
3062.51349 -.14255 (306*2π)/4521 weeks
3072.54155 -.96957 (307*2π)/4521 weeks
3082.9903 -1.45643 (308*2π)/4521 weeks
3093.33139 -1.56055 (309*2π)/4521 weeks
3103.54797 -1.51532 (310*2π)/4521 weeks
3113.60122 -1.17631 (311*2π)/4521 weeks
3123.68184 -.95665 (312*2π)/4521 weeks
3133.29332 -1.00583 (313*2π)/4521 weeks
3143.31301 -1.09496 (314*2π)/4521 weeks
3153.01298 -.90926 (315*2π)/4521 weeks
3162.83594 -1.53023 (316*2π)/4521 weeks
3173.08171 -1.35059 (317*2π)/4521 weeks
3182.40958 -1.45768 (318*2π)/4521 weeks
3192.05563 -1.94208 (319*2π)/4521 weeks
3202.01158 -2.89645 (320*2π)/4521 weeks
3213.12883 -3.58191 (321*2π)/4521 weeks
3223.93604 -2.61249 (322*2π)/4521 weeks
3232.91282 -2.08453 (323*2π)/4521 weeks
3242.03769 -2.79683 (324*2π)/4521 weeks
3251.92094 -3.92874 (325*2π)/4521 weeks
3262.71142 -5.30675 (326*2π)/4521 weeks
3274.81615 -5.93669 (327*2π)/4521 weeks
3286.357 -4.42299 (328*2π)/4521 weeks
3295.75469 -3.101 (329*2π)/4521 weeks
3305.42323 -2.94925 (330*2π)/4521 weeks
3315.31941 -2.46568 (331*2π)/4521 weeks
3325.18215 -2.23657 (332*2π)/4521 weeks
3335.39878 -1.88175 (333*2π)/4521 weeks
3344.28451 -.76682 (334*2π)/4521 weeks
3352.13238 -1.1839 (335*2π)/4521 weeks
3361.66345 -2.94726 (336*2π)/4521 weeks
3371.93132 -3.99401 (337*2π)/4521 weeks
3382.42186 -5.47806 (338*2π)/4521 weeks
3394.13173 -6.23823 (339*2π)/4521 weeks
3404.81679 -5.41685 (340*2π)/4521 weeks
3414.47696 -5.48236 (341*2π)/4521 weeks
3426.00203 -5.89659 (342*2π)/4521 weeks
3437.40856 -4.71976 (343*2π)/4521 weeks
3446.98765 -3.19775 (344*2π)/4521 weeks
3455.39744 -2.48733 (345*2π)/4521 weeks
3464.20282 -3.41908 (346*2π)/4521 weeks
3474.30633 -4.90367 (347*2π)/4521 weeks
3485.70495 -5.48753 (348*2π)/4521 weeks
3496.95299 -4.98657 (349*2π)/4521 weeks
3507.29894 -4.43281 (350*2π)/4521 weeks
3517.30109 -3.40777 (351*2π)/4521 weeks
3526.8315 -2.85958 (352*2π)/4521 weeks
3536.50509 -2.90098 (353*2π)/4521 weeks
3546.6702 -2.48999 (354*2π)/4521 weeks
3556.03946 -2.19038 (355*2π)/4521 weeks
3565.61693 -2.59645 (356*2π)/4521 weeks
3575.68968 -2.88195 (357*2π)/4521 weeks
3585.53825 -2.15036 (358*2π)/4521 weeks
3594.52152 -2.73213 (359*2π)/4521 weeks
3605.18163 -3.89488 (360*2π)/4521 weeks
3616.26346 -3.79657 (361*2π)/4521 weeks
3626.54411 -3.15011 (362*2π)/4521 weeks
3636.07697 -2.37524 (363*2π)/4521 weeks
3645.71064 -2.43459 (364*2π)/4521 weeks
3656.27924 -2.37041 (365*2π)/4521 weeks
3666.49025 -2.02723 (366*2π)/4521 weeks
3676.50755 -1.19644 (367*2π)/4521 weeks
3685.23415 -.10852 (368*2π)/4521 weeks
3694.0174 -.16671 (369*2π)/4521 weeks
3703.70769 -.33583 (370*2π)/4521 weeks
3713.41495 -.04909 (371*2π)/4521 weeks
3722.28888 .41662 (372*2π)/4521 weeks
373.38679 .23426 (373*2π)/4521 weeks
374-2.60084 -.80376 (374*2π)/4521 weeks
375-3.64063 -4.25051 (375*2π)/4521 weeks
376-2.4018 -6.60656 (376*2π)/4521 weeks
377-1.48622 -8.16047 (377*2π)/4521 weeks
378-.14511 -9.57102 (378*2π)/4521 weeks
3791.363 -10.13267 (379*2π)/4521 weeks
3802.40295 -10.86702 (380*2π)/4521 weeks
3813.98025 -11.26343 (381*2π)/4521 weeks
3826.38357 -10.18836 (382*2π)/4521 weeks
3836.18656 -7.89893 (383*2π)/4521 weeks
3844.56733 -8.40611 (384*2π)/4521 weeks
3855.61765 -9.02224 (385*2π)/4521 weeks
3865.74112 -8.98124 (386*2π)/4521 weeks
3876.64122 -10.43068 (387*2π)/4521 weeks
3889.1712 -8.72706 (388*2π)/4521 weeks
3898.18681 -5.44931 (389*2π)/4521 weeks
3905.36973 -6.9431 (390*2π)/4521 weeks
3916.45434 -9.51701 (391*2π)/4521 weeks
3928.94293 -9.22032 (392*2π)/4521 weeks
39310.51728 -8.38968 (393*2π)/4521 weeks
39411.84459 -5.96656 (394*2π)/4521 weeks
39511.3246 -1.93847 (395*2π)/4521 weeks
3967.37821 -.81267 (396*2π)/4521 weeks
3976.62444 -2.53175 (397*2π)/4521 weeks
3986.02416 -1.37114 (398*2π)/4521 weeks
3994.78238 -1.01965 (399*2π)/4521 weeks
4003.55975 -1.18416 (400*2π)/4521 weeks
4011.15311 -.42542 (401*2π)/4521 weeks
402-2.20655 -2.35806 (402*2π)/4521 weeks
403-2.54911 -5.26215 (403*2π)/4521 weeks
404-3.308 -6.66984 (404*2π)/4521 weeks
405-3.93855 -9.6119 (405*2π)/4521 weeks
406-3.09794 -12.73882 (406*2π)/4521 weeks
407-1.23973 -14.43116 (407*2π)/4521 weeks
408.98482 -15.60622 (408*2π)/4521 weeks
4092.66217 -15.44102 (409*2π)/4521 weeks
4103.83611 -15.25901 (410*2π)/4521 weeks
4114.77514 -14.6603 (411*2π)/4521 weeks
4125.03715 -14.6452 (412*2π)/4521 weeks
4134.12955 -13.96068 (413*2π)/4521 weeks
4143.82049 -15.43906 (414*2π)/4521 weeks
4154.72212 -16.82153 (415*2π)/4521 weeks
4164.92357 -18.158 (416*2π)/4521 weeks
4177.1555 -20.11149 (417*2π)/4521 weeks
41810.84304 -18.73457 (418*2π)/4521 weeks
41910.23333 -16.82233 (419*2π)/4521 weeks
4209.81271 -18.02166 (420*2π)/4521 weeks
42111.45144 -18.60047 (421*2π)/4521 weeks
42213.29267 -18.22551 (422*2π)/4521 weeks
42315.55606 -17.96974 (423*2π)/4521 weeks
42418.88293 -15.07748 (424*2π)/4521 weeks
42517.28505 -10.30622 (425*2π)/4521 weeks
42613.83305 -9.91177 (426*2π)/4521 weeks
42714.2155 -9.54679 (427*2π)/4521 weeks
42813.30305 -6.77684 (428*2π)/4521 weeks
42910.19154 -7.13425 (429*2π)/4521 weeks
4309.81078 -7.65983 (430*2π)/4521 weeks
4314.90751 -5.24734 (431*2π)/4521 weeks
432.07912 -7.68546 (432*2π)/4521 weeks
433-3.22111 -10.17144 (433*2π)/4521 weeks
434-5.11897 -17.37346 (434*2π)/4521 weeks
435-3.87446 -23.03719 (435*2π)/4521 weeks
436-2.8126 -27.86038 (436*2π)/4521 weeks
4371.31382 -28.00315 (437*2π)/4521 weeks
438-1.80898 -28.08211 (438*2π)/4521 weeks
439-.55731 -35.93268 (439*2π)/4521 weeks
4401.22278 -39.36095 (440*2π)/4521 weeks
4412.34734 -45.63362 (441*2π)/4521 weeks
44210.7814 -50.12267 (442*2π)/4521 weeks
4438.45089 -48.02187 (443*2π)/4521 weeks
4441.50692 -59.9536 (444*2π)/4521 weeks
44514.90327 -80.79347 (445*2π)/4521 weeks
44638.29509 -86.80729 (446*2π)/4521 weeks
44753.40974 -80.78956 (447*2π)/4521 weeks
44853.78187 -83.11874 (448*2π)/4521 weeks
44961.85851 -105.8367 (449*2π)/4521 weeks
450103.2507 -124.5937 (450*2π)/4521 weeks



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