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Fourier Analysis of TZA (Direxion Daily Small Cap Bear 3X ETF)


TZA (Direxion Daily Small Cap Bear 3X ETF) appears to have interesting cyclic behaviour every 49 weeks (702.6319*sine), 45 weeks (680.1682*sine), and 16 weeks (279.5434*cosine).

TZA (Direxion Daily Small Cap Bear 3X ETF) has an average price of 1,258.99 (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 4/16/2018 for TZA (Direxion Daily Small Cap Bear 3X ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,258.993   0 
11,921.76 862.5193 (1*2π)/492492 weeks
21,379.076 980.9607 (2*2π)/492246 weeks
31,078.211 992.33 (3*2π)/492164 weeks
4852.1855 958.5392 (4*2π)/492123 weeks
5701.1437 921.1538 (5*2π)/49298 weeks
6577.853 902.7507 (6*2π)/49282 weeks
7444.1869 911.6718 (7*2π)/49270 weeks
8282.513 855.6346 (8*2π)/49262 weeks
9197.1586 746.6431 (9*2π)/49255 weeks
10165.1916 702.6319 (10*2π)/49249 weeks
1183.30505 680.1682 (11*2π)/49245 weeks
12-2.27946 605.6096 (12*2π)/49241 weeks
13-44.48161 518.8152 (13*2π)/49238 weeks
14-73.59295 443.3088 (14*2π)/49235 weeks
15-84.14283 357.6313 (15*2π)/49233 weeks
16-54.6932 301.109 (16*2π)/49231 weeks
17-50.32067 283.0838 (17*2π)/49229 weeks
18-70.52113 243.1375 (18*2π)/49227 weeks
19-74.6526 187.5284 (19*2π)/49226 weeks
20-62.62567 131.9251 (20*2π)/49225 weeks
21-31.78122 89.05267 (21*2π)/49223 weeks
22-7.87199 55.15643 (22*2π)/49222 weeks
2328.92742 23.95609 (23*2π)/49221 weeks
2465.57713 15.67051 (24*2π)/49221 weeks
2589.18398 -.35593 (25*2π)/49220 weeks
26130.3981 -17.2244 (26*2π)/49219 weeks
27174.2597 -13.05809 (27*2π)/49218 weeks
28209.3469 4.65605 (28*2π)/49218 weeks
29241.9049 21.87456 (29*2π)/49217 weeks
30273.5981 55.88634 (30*2π)/49216 weeks
31279.5434 104.1978 (31*2π)/49216 weeks
32265.8155 135.1048 (32*2π)/49215 weeks
33256.9116 156.9371 (33*2π)/49215 weeks
34240.5006 178.5072 (34*2π)/49214 weeks
35222.1328 187.4177 (35*2π)/49214 weeks
36214.0178 190.9555 (36*2π)/49214 weeks
37213.1583 208.0101 (37*2π)/49213 weeks
38193.9787 233.4514 (38*2π)/49213 weeks
39160.9928 240.8485 (39*2π)/49213 weeks
40138.9756 240.7507 (40*2π)/49212 weeks
41112.3123 241.0612 (41*2π)/49212 weeks
4286.26325 229.2056 (42*2π)/49212 weeks
4372.15561 214.2865 (43*2π)/49211 weeks
4455.46107 202.956 (44*2π)/49211 weeks
4544.91365 187.4033 (45*2π)/49211 weeks
4633.91491 173.5497 (46*2π)/49211 weeks
4727.34657 157.7308 (47*2π)/49210 weeks
4820.96463 147.2678 (48*2π)/49210 weeks
496.22817 134.1092 (49*2π)/49210 weeks
50-7.10287 106.4438 (50*2π)/49210 weeks
51-2.48795 70.90977 (51*2π)/49210 weeks
5212.74741 46.78831 (52*2π)/4929 weeks
5329.36094 30.58014 (53*2π)/4929 weeks
5443.16988 14.85062 (54*2π)/4929 weeks
5567.84189 -1.16451 (55*2π)/4929 weeks
5696.1107 -1.40515 (56*2π)/4929 weeks
57113.8778 2.6046 (57*2π)/4929 weeks
58135.2788 6.5458 (58*2π)/4928 weeks
59155.4115 19.89077 (59*2π)/4928 weeks
60163.328 39.25407 (60*2π)/4928 weeks
61169.0624 47.36455 (61*2π)/4928 weeks
62182.4399 63.92691 (62*2π)/4928 weeks
63183.3186 90.35625 (63*2π)/4928 weeks
64171.1562 108.3094 (64*2π)/4928 weeks
65160.2637 117.5855 (65*2π)/4928 weeks
66148.9716 128.9601 (66*2π)/4927 weeks
67129.8319 129.6233 (67*2π)/4927 weeks
68125.7854 116.9092 (68*2π)/4927 weeks
69137.1569 122.5961 (69*2π)/4927 weeks
70129.8638 141.3356 (70*2π)/4927 weeks
71111.1138 146.4309 (71*2π)/4927 weeks
72101.424 143.8629 (72*2π)/4927 weeks
7390.84031 145.3853 (73*2π)/4927 weeks
7479.43076 140.2227 (74*2π)/4927 weeks
7577.43121 136.4029 (75*2π)/4927 weeks
7671.03227 142.9402 (76*2π)/4926 weeks
7754.59733 143.9954 (77*2π)/4926 weeks
7839.47744 137.3986 (78*2π)/4926 weeks
7925.86175 128.0366 (79*2π)/4926 weeks
8015.24215 115.8383 (80*2π)/4926 weeks
817.85662 101.7221 (81*2π)/4926 weeks
822.09041 87.90289 (82*2π)/4926 weeks
83-4.09218 71.25012 (83*2π)/4926 weeks
84-5.13405 48.45341 (84*2π)/4926 weeks
856.2554 27.84072 (85*2π)/4926 weeks
8620.50475 17.38516 (86*2π)/4926 weeks
8732.08984 10.29302 (87*2π)/4926 weeks
8843.24555 5.13652 (88*2π)/4926 weeks
8953.7977 1.37651 (89*2π)/4926 weeks
9064.78648 -.3267 (90*2π)/4925 weeks
9176.50629 -1.1006 (91*2π)/4925 weeks
9288.19372 2.98835 (92*2π)/4925 weeks
9394.30613 10.37312 (93*2π)/4925 weeks
9497.78858 14.25487 (94*2π)/4925 weeks
95101.47 18.58801 (95*2π)/4925 weeks
96104.4369 19.36031 (96*2π)/4925 weeks
97112.2103 23.36177 (97*2π)/4925 weeks
98116.8115 33.18623 (98*2π)/4925 weeks
99116.3464 42.59564 (99*2π)/4925 weeks
100110.9104 50.10784 (100*2π)/4925 weeks
101104.1711 50.75294 (101*2π)/4925 weeks
102105.1618 48.38391 (102*2π)/4925 weeks
103108.1942 53.91775 (103*2π)/4925 weeks
104103.5894 61.03912 (104*2π)/4925 weeks
10595.25568 62.76165 (105*2π)/4925 weeks
10690.71783 59.56134 (106*2π)/4925 weeks
10789.6455 56.78587 (107*2π)/4925 weeks
10890.55981 54.01925 (108*2π)/4925 weeks
10993.24676 56.078 (109*2π)/4925 weeks
11093.23765 61.07698 (110*2π)/4924 weeks
11188.08278 66.42737 (111*2π)/4924 weeks
11280.76456 66.50668 (112*2π)/4924 weeks
11374.22484 64.6674 (113*2π)/4924 weeks
11468.67929 60.1338 (114*2π)/4924 weeks
11567.04729 53.10881 (115*2π)/4924 weeks
11668.56951 48.33329 (116*2π)/4924 weeks
11771.43388 45.54384 (117*2π)/4924 weeks
11874.20564 46.50274 (118*2π)/4924 weeks
11973.50558 50.2479 (119*2π)/4924 weeks
12068.66767 50.50267 (120*2π)/4924 weeks
12165.79472 46.63933 (121*2π)/4924 weeks
12264.94825 46.4613 (122*2π)/4924 weeks
12359.16324 45.85025 (123*2π)/4924 weeks
12453.11666 37.15968 (124*2π)/4924 weeks
12555.1753 27.84791 (125*2π)/4924 weeks
12656.56372 22.86248 (126*2π)/4924 weeks
12759.42702 12.42827 (127*2π)/4924 weeks
12872.10526 4.55275 (128*2π)/4924 weeks
12985.08376 6.93765 (129*2π)/4924 weeks
13091.85707 13.83637 (130*2π)/4924 weeks
13196.25202 19.41216 (131*2π)/4924 weeks
13299.82269 26.66594 (132*2π)/4924 weeks
13398.07365 34.27614 (133*2π)/4924 weeks
13496.90565 38.22525 (134*2π)/4924 weeks
13596.00539 46.00175 (135*2π)/4924 weeks
13687.12576 53.02742 (136*2π)/4924 weeks
13777.37554 51.69775 (137*2π)/4924 weeks
13871.84042 48.71418 (138*2π)/4924 weeks
13967.70742 44.59937 (139*2π)/4924 weeks
14066.40529 39.39842 (140*2π)/4924 weeks
14168.73929 36.6831 (141*2π)/4923 weeks
14268.71609 40.74541 (142*2π)/4923 weeks
14360.67979 41.58025 (143*2π)/4923 weeks
14454.52025 34.95148 (144*2π)/4923 weeks
14552.89661 27.4094 (145*2π)/4923 weeks
14654.16712 20.03698 (146*2π)/4923 weeks
14758.7001 15.39126 (147*2π)/4923 weeks
14860.88477 13.5242 (148*2π)/4923 weeks
14963.66531 10.01405 (149*2π)/4923 weeks
15067.93433 8.81365 (150*2π)/4923 weeks
15170.9504 9.25266 (151*2π)/4923 weeks
15272.6117 10.52379 (152*2π)/4923 weeks
15371.77489 10.83755 (153*2π)/4923 weeks
15472.05811 8.43982 (154*2π)/4923 weeks
15573.60645 6.41298 (155*2π)/4923 weeks
15675.92513 5.35128 (156*2π)/4923 weeks
15778.24186 4.86515 (157*2π)/4923 weeks
15879.98386 4.42186 (158*2π)/4923 weeks
15981.35707 3.40161 (159*2π)/4923 weeks
16084.84354 1.82368 (160*2π)/4923 weeks
16189.0884 2.44464 (161*2π)/4923 weeks
16293.26711 3.72873 (162*2π)/4923 weeks
16397.17617 7.37467 (163*2π)/4923 weeks
16498.51534 12.00701 (164*2π)/4923 weeks
165100.028 15.56969 (165*2π)/4923 weeks
16699.40157 21.58422 (166*2π)/4923 weeks
16795.69872 23.9557 (167*2π)/4923 weeks
16895.89286 25.23713 (168*2π)/4923 weeks
16995.3616 30.11985 (169*2π)/4923 weeks
17090.72858 35.03827 (170*2π)/4923 weeks
17185.15491 36.28699 (171*2π)/4923 weeks
17280.164 37.55196 (172*2π)/4923 weeks
17371.51347 36.3591 (173*2π)/4923 weeks
17467.32582 27.55092 (174*2π)/4923 weeks
17572.035 23.41745 (175*2π)/4923 weeks
17671.71854 26.56664 (176*2π)/4923 weeks
17768.30878 25.5282 (177*2π)/4923 weeks
17867.12135 24.92635 (178*2π)/4923 weeks
17962.59375 26.06084 (179*2π)/4923 weeks
18054.83053 20.56465 (180*2π)/4923 weeks
18155.75823 12.08661 (181*2π)/4923 weeks
18256.31906 11.73972 (182*2π)/4923 weeks
18350.16603 7.33487 (183*2π)/4923 weeks
18448.80772 -3.78459 (184*2π)/4923 weeks
18553.01118 -13.31676 (185*2π)/4923 weeks
18658.98261 -20.12106 (186*2π)/4923 weeks
18766.69557 -26.05758 (187*2π)/4923 weeks
18876.34971 -27.77198 (188*2π)/4923 weeks
18982.53265 -25.89197 (189*2π)/4923 weeks
19085.87367 -27.24751 (190*2π)/4923 weeks
19193.19749 -30.7725 (191*2π)/4923 weeks
192104.3355 -29.95177 (192*2π)/4923 weeks
193113.992 -24.97594 (193*2π)/4923 weeks
194122.3092 -17.40615 (194*2π)/4923 weeks
195127.7922 -6.39542 (195*2π)/4923 weeks
196127.4521 5.77402 (196*2π)/4923 weeks
197122.2011 13.55451 (197*2π)/4922 weeks
198118.088 15.73814 (198*2π)/4922 weeks
199119.3095 17.65988 (199*2π)/4922 weeks
200120.5008 25.22124 (200*2π)/4922 weeks
201115.6611 33.61815 (201*2π)/4922 weeks
202109.4499 36.91995 (202*2π)/4922 weeks
203105.1724 40.9995 (203*2π)/4922 weeks
20497.1238 44.08075 (204*2π)/4922 weeks
20590.67429 41.82147 (205*2π)/4922 weeks
20687.69914 41.46923 (206*2π)/4922 weeks
20783.25189 43.20253 (207*2π)/4922 weeks
20876.52059 42.08506 (208*2π)/4922 weeks
20972.01971 39.39493 (209*2π)/4922 weeks
21067.10176 38.29771 (210*2π)/4922 weeks
21159.909 34.10663 (211*2π)/4922 weeks
21256.55943 26.13202 (212*2π)/4922 weeks
21357.77986 21.14989 (213*2π)/4922 weeks
21454.20819 19.74547 (214*2π)/4922 weeks
21550.8127 10.23714 (215*2π)/4922 weeks
21654.72005 3.05065 (216*2π)/4922 weeks
21755.82919 -1.14338 (217*2π)/4922 weeks
21859.01959 -9.39079 (218*2π)/4922 weeks
21967.80281 -13.55977 (219*2π)/4922 weeks
22074.0024 -12.07367 (220*2π)/4922 weeks
22176.90292 -11.91857 (221*2π)/4922 weeks
22282.216 -12.86669 (222*2π)/4922 weeks
22386.67625 -9.0036 (223*2π)/4922 weeks
22486.73173 -6.24148 (224*2π)/4922 weeks
22586.71412 -7.37901 (225*2π)/4922 weeks
22690.74742 -9.09665 (226*2π)/4922 weeks
22796.44065 -7.62384 (227*2π)/4922 weeks
228100.159 -3.7735 (228*2π)/4922 weeks
229104.8338 .63972 (229*2π)/4922 weeks
230106.0192 9.41489 (230*2π)/4922 weeks
231101.8941 14.67506 (231*2π)/4922 weeks
232100.6159 15.77081 (232*2π)/4922 weeks
233101.7185 20.85136 (233*2π)/4922 weeks
23499.39318 27.95666 (234*2π)/4922 weeks
23592.98175 34.70967 (235*2π)/4922 weeks
23683.04319 36.09556 (236*2π)/4922 weeks
23776.64712 32.97216 (237*2π)/4922 weeks
23873.91035 30.44217 (238*2π)/4922 weeks
23973.24643 30.18293 (239*2π)/4922 weeks
24069.92768 33.96043 (240*2π)/4922 weeks
24160.64135 36.93459 (241*2π)/4922 weeks
24248.82547 32.91875 (242*2π)/4922 weeks
24341.38832 22.80162 (243*2π)/4922 weeks
24438.69357 12.81283 (244*2π)/4922 weeks
24540.19835 3.79726 (245*2π)/4922 weeks
24642.77678   (246*2π)/4922 weeks
24740.19835 -3.79726 (247*2π)/4922 weeks
24838.69357 -12.81283 (248*2π)/4922 weeks
24941.38832 -22.80162 (249*2π)/4922 weeks
25048.82547 -32.91875 (250*2π)/4922 weeks
25160.64135 -36.93459 (251*2π)/4922 weeks
25269.92768 -33.96043 (252*2π)/4922 weeks
25373.24643 -30.18293 (253*2π)/4922 weeks
25473.91035 -30.44217 (254*2π)/4922 weeks
25576.64712 -32.97216 (255*2π)/4922 weeks
25683.04319 -36.09556 (256*2π)/4922 weeks
25792.98175 -34.70967 (257*2π)/4922 weeks
25899.39318 -27.95666 (258*2π)/4922 weeks
259101.7185 -20.85136 (259*2π)/4922 weeks
260100.6159 -15.77081 (260*2π)/4922 weeks
261101.8941 -14.67506 (261*2π)/4922 weeks
262106.0192 -9.41489 (262*2π)/4922 weeks
263104.8338 -.63972 (263*2π)/4922 weeks
264100.159 3.7735 (264*2π)/4922 weeks
26596.44065 7.62384 (265*2π)/4922 weeks
26690.74742 9.09665 (266*2π)/4922 weeks
26786.71412 7.37901 (267*2π)/4922 weeks
26886.73173 6.24148 (268*2π)/4922 weeks
26986.67625 9.0036 (269*2π)/4922 weeks
27082.216 12.86669 (270*2π)/4922 weeks
27176.90292 11.91857 (271*2π)/4922 weeks
27274.0024 12.07367 (272*2π)/4922 weeks
27367.80281 13.55977 (273*2π)/4922 weeks
27459.01959 9.39079 (274*2π)/4922 weeks
27555.82919 1.14338 (275*2π)/4922 weeks
27654.72005 -3.05065 (276*2π)/4922 weeks
27750.8127 -10.23714 (277*2π)/4922 weeks
27854.20819 -19.74547 (278*2π)/4922 weeks
27957.77986 -21.14989 (279*2π)/4922 weeks
28056.55943 -26.13202 (280*2π)/4922 weeks
28159.909 -34.10663 (281*2π)/4922 weeks
28267.10176 -38.29771 (282*2π)/4922 weeks
28372.01971 -39.39493 (283*2π)/4922 weeks
28476.52059 -42.08506 (284*2π)/4922 weeks
28583.25189 -43.20253 (285*2π)/4922 weeks
28687.69914 -41.46923 (286*2π)/4922 weeks
28790.67429 -41.82147 (287*2π)/4922 weeks
28897.1238 -44.08075 (288*2π)/4922 weeks
289105.1724 -40.9995 (289*2π)/4922 weeks
290109.4499 -36.91995 (290*2π)/4922 weeks
291115.6611 -33.61815 (291*2π)/4922 weeks
292120.5008 -25.22124 (292*2π)/4922 weeks
293119.3095 -17.65988 (293*2π)/4922 weeks
294118.088 -15.73814 (294*2π)/4922 weeks
295122.2011 -13.55451 (295*2π)/4922 weeks
296127.4521 -5.77402 (296*2π)/4922 weeks
297127.7922 6.39542 (297*2π)/4922 weeks
298122.3092 17.40615 (298*2π)/4922 weeks
299113.992 24.97594 (299*2π)/4922 weeks
300104.3355 29.95177 (300*2π)/4922 weeks
30193.19749 30.7725 (301*2π)/4922 weeks
30285.87367 27.24751 (302*2π)/4922 weeks
30382.53265 25.89197 (303*2π)/4922 weeks
30476.34971 27.77198 (304*2π)/4922 weeks
30566.69557 26.05758 (305*2π)/4922 weeks
30658.98261 20.12106 (306*2π)/4922 weeks
30753.01118 13.31676 (307*2π)/4922 weeks
30848.80772 3.78459 (308*2π)/4922 weeks
30950.16603 -7.33487 (309*2π)/4922 weeks
31056.31906 -11.73972 (310*2π)/4922 weeks
31155.75823 -12.08661 (311*2π)/4922 weeks
31254.83053 -20.56465 (312*2π)/4922 weeks
31362.59375 -26.06084 (313*2π)/4922 weeks
31467.12135 -24.92635 (314*2π)/4922 weeks
31568.30878 -25.5282 (315*2π)/4922 weeks
31671.71854 -26.56664 (316*2π)/4922 weeks
31772.035 -23.41745 (317*2π)/4922 weeks
31867.32582 -27.55092 (318*2π)/4922 weeks
31971.51347 -36.3591 (319*2π)/4922 weeks
32080.164 -37.55196 (320*2π)/4922 weeks
32185.15491 -36.28699 (321*2π)/4922 weeks
32290.72858 -35.03827 (322*2π)/4922 weeks
32395.3616 -30.11985 (323*2π)/4922 weeks
32495.89286 -25.23713 (324*2π)/4922 weeks
32595.69872 -23.9557 (325*2π)/4922 weeks
32699.40157 -21.58422 (326*2π)/4922 weeks
327100.028 -15.56969 (327*2π)/4922 weeks
32898.51534 -12.00701 (328*2π)/4922 weeks
32997.17617 -7.37467 (329*2π)/4921 weeks
33093.26711 -3.72873 (330*2π)/4921 weeks
33189.0884 -2.44464 (331*2π)/4921 weeks
33284.84354 -1.82368 (332*2π)/4921 weeks
33381.35707 -3.40161 (333*2π)/4921 weeks
33479.98386 -4.42186 (334*2π)/4921 weeks
33578.24186 -4.86515 (335*2π)/4921 weeks
33675.92513 -5.35128 (336*2π)/4921 weeks
33773.60645 -6.41298 (337*2π)/4921 weeks
33872.05811 -8.43982 (338*2π)/4921 weeks
33971.77489 -10.83755 (339*2π)/4921 weeks
34072.6117 -10.52379 (340*2π)/4921 weeks
34170.9504 -9.25266 (341*2π)/4921 weeks
34267.93433 -8.81365 (342*2π)/4921 weeks
34363.66531 -10.01405 (343*2π)/4921 weeks
34460.88477 -13.5242 (344*2π)/4921 weeks
34558.7001 -15.39126 (345*2π)/4921 weeks
34654.16712 -20.03698 (346*2π)/4921 weeks
34752.89661 -27.4094 (347*2π)/4921 weeks
34854.52025 -34.95148 (348*2π)/4921 weeks
34960.67979 -41.58025 (349*2π)/4921 weeks
35068.71609 -40.74541 (350*2π)/4921 weeks
35168.73929 -36.6831 (351*2π)/4921 weeks
35266.40529 -39.39842 (352*2π)/4921 weeks
35367.70742 -44.59937 (353*2π)/4921 weeks
35471.84042 -48.71418 (354*2π)/4921 weeks
35577.37554 -51.69775 (355*2π)/4921 weeks
35687.12576 -53.02742 (356*2π)/4921 weeks
35796.00539 -46.00175 (357*2π)/4921 weeks
35896.90565 -38.22525 (358*2π)/4921 weeks
35998.07365 -34.27614 (359*2π)/4921 weeks
36099.82269 -26.66594 (360*2π)/4921 weeks
36196.25202 -19.41216 (361*2π)/4921 weeks
36291.85707 -13.83637 (362*2π)/4921 weeks
36385.08376 -6.93765 (363*2π)/4921 weeks
36472.10526 -4.55275 (364*2π)/4921 weeks
36559.42702 -12.42827 (365*2π)/4921 weeks
36656.56372 -22.86248 (366*2π)/4921 weeks
36755.1753 -27.84791 (367*2π)/4921 weeks
36853.11666 -37.15968 (368*2π)/4921 weeks
36959.16324 -45.85025 (369*2π)/4921 weeks
37064.94825 -46.4613 (370*2π)/4921 weeks
37165.79472 -46.63933 (371*2π)/4921 weeks
37268.66767 -50.50267 (372*2π)/4921 weeks
37373.50558 -50.2479 (373*2π)/4921 weeks
37474.20564 -46.50274 (374*2π)/4921 weeks
37571.43388 -45.54384 (375*2π)/4921 weeks
37668.56951 -48.33329 (376*2π)/4921 weeks
37767.04729 -53.10881 (377*2π)/4921 weeks
37868.67929 -60.1338 (378*2π)/4921 weeks
37974.22484 -64.6674 (379*2π)/4921 weeks
38080.76456 -66.50668 (380*2π)/4921 weeks
38188.08278 -66.42737 (381*2π)/4921 weeks
38293.23765 -61.07698 (382*2π)/4921 weeks
38393.24676 -56.078 (383*2π)/4921 weeks
38490.55981 -54.01925 (384*2π)/4921 weeks
38589.6455 -56.78587 (385*2π)/4921 weeks
38690.71783 -59.56134 (386*2π)/4921 weeks
38795.25568 -62.76165 (387*2π)/4921 weeks
388103.5894 -61.03912 (388*2π)/4921 weeks
389108.1942 -53.91775 (389*2π)/4921 weeks
390105.1618 -48.38391 (390*2π)/4921 weeks
391104.1711 -50.75294 (391*2π)/4921 weeks
392110.9104 -50.10784 (392*2π)/4921 weeks
393116.3464 -42.59564 (393*2π)/4921 weeks
394116.8115 -33.18623 (394*2π)/4921 weeks
395112.2103 -23.36177 (395*2π)/4921 weeks
396104.4369 -19.36031 (396*2π)/4921 weeks
397101.47 -18.58801 (397*2π)/4921 weeks
39897.78858 -14.25487 (398*2π)/4921 weeks
39994.30613 -10.37312 (399*2π)/4921 weeks
40088.19372 -2.98835 (400*2π)/4921 weeks
40176.50629 1.1006 (401*2π)/4921 weeks
40264.78648 .3267 (402*2π)/4921 weeks
40353.7977 -1.37651 (403*2π)/4921 weeks
40443.24555 -5.13652 (404*2π)/4921 weeks
40532.08984 -10.29302 (405*2π)/4921 weeks
40620.50475 -17.38516 (406*2π)/4921 weeks
4076.2554 -27.84072 (407*2π)/4921 weeks
408-5.13405 -48.45341 (408*2π)/4921 weeks
409-4.09218 -71.25012 (409*2π)/4921 weeks
4102.09041 -87.90289 (410*2π)/4921 weeks
4117.85662 -101.7221 (411*2π)/4921 weeks
41215.24215 -115.8383 (412*2π)/4921 weeks
41325.86175 -128.0366 (413*2π)/4921 weeks
41439.47744 -137.3986 (414*2π)/4921 weeks
41554.59733 -143.9954 (415*2π)/4921 weeks
41671.03227 -142.9402 (416*2π)/4921 weeks
41777.43121 -136.4029 (417*2π)/4921 weeks
41879.43076 -140.2227 (418*2π)/4921 weeks
41990.84031 -145.3853 (419*2π)/4921 weeks
420101.424 -143.8629 (420*2π)/4921 weeks
421111.1138 -146.4309 (421*2π)/4921 weeks
422129.8638 -141.3356 (422*2π)/4921 weeks
423137.1569 -122.5961 (423*2π)/4921 weeks
424125.7854 -116.9092 (424*2π)/4921 weeks
425129.8319 -129.6233 (425*2π)/4921 weeks
426148.9716 -128.9601 (426*2π)/4921 weeks
427160.2637 -117.5855 (427*2π)/4921 weeks
428171.1562 -108.3094 (428*2π)/4921 weeks
429183.3186 -90.35625 (429*2π)/4921 weeks
430182.4399 -63.92691 (430*2π)/4921 weeks
431169.0624 -47.36455 (431*2π)/4921 weeks
432163.328 -39.25407 (432*2π)/4921 weeks
433155.4115 -19.89077 (433*2π)/4921 weeks
434135.2788 -6.5458 (434*2π)/4921 weeks
435113.8778 -2.6046 (435*2π)/4921 weeks
43696.1107 1.40515 (436*2π)/4921 weeks
43767.84189 1.16451 (437*2π)/4921 weeks
43843.16988 -14.85062 (438*2π)/4921 weeks
43929.36094 -30.58014 (439*2π)/4921 weeks
44012.74741 -46.78831 (440*2π)/4921 weeks
441-2.48795 -70.90977 (441*2π)/4921 weeks
442-7.10287 -106.4438 (442*2π)/4921 weeks
4436.22817 -134.1092 (443*2π)/4921 weeks
44420.96463 -147.2678 (444*2π)/4921 weeks
44527.34657 -157.7308 (445*2π)/4921 weeks
44633.91491 -173.5497 (446*2π)/4921 weeks
44744.91365 -187.4033 (447*2π)/4921 weeks
44855.46107 -202.956 (448*2π)/4921 weeks
44972.15561 -214.2865 (449*2π)/4921 weeks
45086.26325 -229.2056 (450*2π)/4921 weeks
451112.3123 -241.0612 (451*2π)/4921 weeks
452138.9756 -240.7507 (452*2π)/4921 weeks
453160.9928 -240.8485 (453*2π)/4921 weeks
454193.9787 -233.4514 (454*2π)/4921 weeks
455213.1583 -208.0101 (455*2π)/4921 weeks
456214.0178 -190.9555 (456*2π)/4921 weeks
457222.1328 -187.4177 (457*2π)/4921 weeks
458240.5006 -178.5072 (458*2π)/4921 weeks
459256.9116 -156.9371 (459*2π)/4921 weeks
460265.8155 -135.1048 (460*2π)/4921 weeks
461279.5434 -104.1978 (461*2π)/4921 weeks
462273.5981 -55.88634 (462*2π)/4921 weeks
463241.9049 -21.87456 (463*2π)/4921 weeks
464209.3469 -4.65605 (464*2π)/4921 weeks
465174.2597 13.05809 (465*2π)/4921 weeks
466130.3981 17.2244 (466*2π)/4921 weeks
46789.18398 .35593 (467*2π)/4921 weeks
46865.57713 -15.67051 (468*2π)/4921 weeks
46928.92742 -23.95609 (469*2π)/4921 weeks
470-7.87199 -55.15643 (470*2π)/4921 weeks
471-31.78122 -89.05267 (471*2π)/4921 weeks
472-62.62567 -131.9251 (472*2π)/4921 weeks
473-74.6526 -187.5284 (473*2π)/4921 weeks
474-70.52113 -243.1375 (474*2π)/4921 weeks
475-50.32067 -283.0838 (475*2π)/4921 weeks
476-54.6932 -301.109 (476*2π)/4921 weeks
477-84.14283 -357.6313 (477*2π)/4921 weeks
478-73.59295 -443.3088 (478*2π)/4921 weeks
479-44.48161 -518.8152 (479*2π)/4921 weeks
480-2.27946 -605.6096 (480*2π)/4921 weeks
48183.30505 -680.1682 (481*2π)/4921 weeks
482165.1916 -702.6319 (482*2π)/4921 weeks
483197.1586 -746.6431 (483*2π)/4921 weeks
484282.513 -855.6346 (484*2π)/4921 weeks
485444.1869 -911.6718 (485*2π)/4921 weeks
486577.853 -902.7507 (486*2π)/4921 weeks
487701.1437 -921.1538 (487*2π)/4921 weeks
488852.1855 -958.5392 (488*2π)/4921 weeks
4891,078.211 -992.33 (489*2π)/4921 weeks
4901,379.076 -980.9607 (490*2π)/4921 weeks



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