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Fourier Analysis of TZA (DIREXION DAILY SMALL CAP BEAR 3X SHARES DIREXION DAILY SMALL CAP BEAR 3X SHARES)


TZA (DIREXION DAILY SMALL CAP BEAR 3X SHARES DIREXION DAILY SMALL CAP BEAR 3X SHARES) appears to have interesting cyclic behaviour every 48 weeks (719.2369*sine), 44 weeks (681.4989*sine), and 16 weeks (288.7789*cosine).

TZA (DIREXION DAILY SMALL CAP BEAR 3X SHARES DIREXION DAILY SMALL CAP BEAR 3X SHARES) has an average price of 1,294.61 (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 1/16/2018 for TZA (DIREXION DAILY SMALL CAP BEAR 3X SHARES DIREXION DAILY SMALL CAP BEAR 3X SHARES), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,294.612   0 
11,957.416 896.223 (1*2π)/479479 weeks
21,398.223 1,008.414 (2*2π)/479240 weeks
31,085.786 1,019.438 (3*2π)/479160 weeks
4856.0688 981.3784 (4*2π)/479120 weeks
5703.2399 945.0443 (5*2π)/47996 weeks
6576.8599 927.9949 (6*2π)/47980 weeks
7423.4677 933.2441 (7*2π)/47968 weeks
8261.1373 856.6375 (8*2π)/47960 weeks
9195.808 748.972 (9*2π)/47953 weeks
10152.874 719.2369 (10*2π)/47948 weeks
1155.4486 681.4989 (11*2π)/47944 weeks
12-21.26953 592.1113 (12*2π)/47940 weeks
13-56.95768 506.857 (13*2π)/47937 weeks
14-84.19167 424.411 (14*2π)/47934 weeks
15-75.49654 336.1475 (15*2π)/47932 weeks
16-48.63308 300.1839 (16*2π)/47930 weeks
17-62.6599 276.5126 (17*2π)/47928 weeks
18-77.11599 223.0188 (18*2π)/47927 weeks
19-72.17121 163.732 (19*2π)/47925 weeks
20-47.75895 107.6491 (20*2π)/47924 weeks
21-19.37464 73.2868 (21*2π)/47923 weeks
2212.94619 36.02602 (22*2π)/47922 weeks
2357.03324 17.22127 (23*2π)/47921 weeks
2481.9444 6.53747 (24*2π)/47920 weeks
25117.8634 -14.6954 (25*2π)/47919 weeks
26166.1747 -15.59402 (26*2π)/47918 weeks
27207.7729 .00933 (27*2π)/47918 weeks
28240.292 16.8208 (28*2π)/47917 weeks
29275.3287 47.78093 (29*2π)/47917 weeks
30288.7789 98.78697 (30*2π)/47916 weeks
31275.5332 135.428 (31*2π)/47915 weeks
32265.5542 158.1595 (32*2π)/47915 weeks
33249.5411 181.8792 (33*2π)/47915 weeks
34229.6424 192.4436 (34*2π)/47914 weeks
35220.2067 196.131 (35*2π)/47914 weeks
36219.4491 213.3329 (36*2π)/47913 weeks
37199.3822 240.1994 (37*2π)/47913 weeks
38164.7442 247.6387 (38*2π)/47913 weeks
39141.6012 247.7788 (39*2π)/47912 weeks
40112.9272 247.3407 (40*2π)/47912 weeks
4186.30132 233.7455 (41*2π)/47912 weeks
4272.29859 219.2718 (42*2π)/47911 weeks
4354.56607 205.7909 (43*2π)/47911 weeks
4444.17984 190.3879 (44*2π)/47911 weeks
4532.85095 174.7728 (45*2π)/47911 weeks
4627.08353 159.118 (46*2π)/47910 weeks
4718.4345 148.7283 (47*2π)/47910 weeks
481.39124 130.7045 (48*2π)/47910 weeks
49-8.7065 96.90578 (49*2π)/47910 weeks
502.74405 63.14235 (50*2π)/47910 weeks
5119.91413 40.83331 (51*2π)/4799 weeks
5236.03659 25.68771 (52*2π)/4799 weeks
5353.78936 6.60137 (53*2π)/4799 weeks
5484.19161 -3.53078 (54*2π)/4799 weeks
55108.4033 1.55225 (55*2π)/4799 weeks
56127.9678 3.5608 (56*2π)/4799 weeks
57150.8983 13.07635 (57*2π)/4798 weeks
58166.8153 32.86547 (58*2π)/4798 weeks
59169.9054 45.94246 (59*2π)/4798 weeks
60183.1486 57.43699 (60*2π)/4798 weeks
61190.4245 83.52702 (61*2π)/4798 weeks
62180.1858 106.9679 (62*2π)/4798 weeks
63167.4567 118.6255 (63*2π)/4798 weeks
64157.6074 129.6779 (64*2π)/4797 weeks
65137.9385 134.9697 (65*2π)/4797 weeks
66127.9602 122.5678 (66*2π)/4797 weeks
67139.7343 122.9004 (67*2π)/4797 weeks
68136.0795 142.964 (68*2π)/4797 weeks
69116.5016 150.9322 (69*2π)/4797 weeks
70105.0782 147.8862 (70*2π)/4797 weeks
7194.43719 149.566 (71*2π)/4797 weeks
7282.04711 144.5982 (72*2π)/4797 weeks
7379.67572 140.241 (73*2π)/4797 weeks
7472.95768 147.0562 (74*2π)/4796 weeks
7555.54478 147.9545 (75*2π)/4796 weeks
7639.76771 140.8288 (76*2π)/4796 weeks
7725.53941 130.5401 (77*2π)/4796 weeks
7814.49826 117.4171 (78*2π)/4796 weeks
797.11021 102.5978 (79*2π)/4796 weeks
801.00445 87.97781 (80*2π)/4796 weeks
81-5.05407 69.25117 (81*2π)/4796 weeks
82-3.49458 44.20827 (82*2π)/4796 weeks
8310.4389 24.9337 (83*2π)/4796 weeks
8424.43402 15.63227 (84*2π)/4796 weeks
8536.50955 8.75288 (85*2π)/4796 weeks
8648.13262 4.0107 (86*2π)/4796 weeks
8759.66294 .3995 (87*2π)/4796 weeks
8870.85347 -1.08703 (88*2π)/4795 weeks
8983.85896 .00061 (89*2π)/4795 weeks
9094.49727 6.67453 (90*2π)/4795 weeks
9198.5344 12.85443 (91*2π)/4795 weeks
92102.8955 16.61087 (92*2π)/4795 weeks
93105.0165 20.09776 (93*2π)/4795 weeks
94111.8165 21.43004 (94*2π)/4795 weeks
95119.2079 29.51241 (95*2π)/4795 weeks
96120.2106 39.89162 (96*2π)/4795 weeks
97116.6046 49.38581 (97*2π)/4795 weeks
98109.1225 52.9747 (98*2π)/4795 weeks
99106.9641 49.85363 (99*2π)/4795 weeks
100111.0221 52.98191 (100*2π)/4795 weeks
101108.2145 61.33924 (101*2π)/4795 weeks
10299.94682 65.01437 (102*2π)/4795 weeks
10394.02853 61.97032 (103*2π)/4795 weeks
10492.38274 58.68268 (104*2π)/4795 weeks
10592.56274 55.76934 (105*2π)/4795 weeks
10695.7012 57.25303 (106*2π)/4795 weeks
10796.09973 62.23168 (107*2π)/4794 weeks
10891.16232 68.06711 (108*2π)/4794 weeks
10983.32149 68.43345 (109*2π)/4794 weeks
11076.43621 66.5604 (110*2π)/4794 weeks
11170.57902 61.75367 (111*2π)/4794 weeks
11268.98722 54.3751 (112*2π)/4794 weeks
11370.67278 49.45933 (113*2π)/4794 weeks
11473.8537 46.75567 (114*2π)/4794 weeks
11576.5439 48.09245 (115*2π)/4794 weeks
11674.8442 52.0154 (116*2π)/4794 weeks
11769.65784 51.55729 (117*2π)/4794 weeks
11867.81806 47.53879 (118*2π)/4794 weeks
11965.91262 47.90155 (119*2π)/4794 weeks
12058.59061 45.78561 (120*2π)/4794 weeks
12154.57375 35.06806 (121*2π)/4794 weeks
12257.94022 27.03051 (122*2π)/4794 weeks
12358.22153 20.31952 (123*2π)/4794 weeks
12464.67863 8.60632 (124*2π)/4794 weeks
12579.80196 4.88115 (125*2π)/4794 weeks
12691.48387 10.32331 (126*2π)/4794 weeks
12796.65562 16.66457 (127*2π)/4794 weeks
128100.9783 22.93296 (128*2π)/4794 weeks
129102.3736 32.01735 (129*2π)/4794 weeks
13099.76017 37.34967 (130*2π)/4794 weeks
13199.82447 43.02689 (131*2π)/4794 weeks
13294.19033 52.5102 (132*2π)/4794 weeks
13382.81274 54.57188 (133*2π)/4794 weeks
13475.97833 51.25979 (134*2π)/4794 weeks
13570.92537 47.35193 (135*2π)/4794 weeks
13668.20345 42.02528 (136*2π)/4794 weeks
13769.62675 37.94872 (137*2π)/4793 weeks
13871.65398 40.61329 (138*2π)/4793 weeks
13964.55532 43.43286 (139*2π)/4793 weeks
14056.87931 37.56086 (140*2π)/4793 weeks
14154.52517 29.52258 (141*2π)/4793 weeks
14255.31022 21.6649 (142*2π)/4793 weeks
14359.83697 16.07342 (143*2π)/4793 weeks
14462.49501 14.1866 (144*2π)/4793 weeks
14565.20702 10.49934 (145*2π)/4793 weeks
14669.74094 9.07138 (146*2π)/4793 weeks
14772.96268 9.50794 (147*2π)/4793 weeks
14874.7024 10.84728 (148*2π)/4793 weeks
14973.77767 11.07208 (149*2π)/4793 weeks
15074.23453 8.5461 (150*2π)/4793 weeks
15175.99019 6.40589 (151*2π)/4793 weeks
15278.39166 5.34817 (152*2π)/4793 weeks
15380.74114 4.96347 (153*2π)/4793 weeks
15482.57801 4.49268 (154*2π)/4793 weeks
15584.21684 3.02785 (155*2π)/4793 weeks
15688.36637 1.78311 (156*2π)/4793 weeks
15792.59608 2.75431 (157*2π)/4793 weeks
15897.2684 4.68285 (158*2π)/4793 weeks
159100.7837 9.14678 (159*2π)/4793 weeks
160101.5671 13.36458 (160*2π)/4793 weeks
161103.231 18.22446 (161*2π)/4793 weeks
162100.5921 23.95893 (162*2π)/4793 weeks
16398.14164 24.74305 (163*2π)/4793 weeks
16498.8418 27.91531 (164*2π)/4793 weeks
16596.39393 33.70933 (165*2π)/4793 weeks
16690.14811 36.91682 (166*2π)/4793 weeks
16785.05766 37.83034 (167*2π)/4793 weeks
16877.83448 38.94291 (168*2π)/4793 weeks
16969.60649 32.39472 (169*2π)/4793 weeks
17071.84162 24.2697 (170*2π)/4793 weeks
17174.91835 26.40499 (171*2π)/4793 weeks
17271.09337 26.97546 (172*2π)/4793 weeks
17369.49231 25.44382 (173*2π)/4793 weeks
17466.3197 26.62811 (174*2π)/4793 weeks
17557.86584 23.50924 (175*2π)/4793 weeks
17656.38348 13.66497 (176*2π)/4793 weeks
17758.58262 12.01543 (177*2π)/4793 weeks
17852.64704 9.0271 (178*2π)/4793 weeks
17949.89859 -2.29107 (179*2π)/4793 weeks
18053.83886 -12.71922 (180*2π)/4793 weeks
18160.09885 -20.11104 (181*2π)/4793 weeks
18268.00368 -26.50148 (182*2π)/4793 weeks
18378.2191 -28.58451 (183*2π)/4793 weeks
18484.85841 -26.63392 (184*2π)/4793 weeks
18588.41772 -28.0905 (185*2π)/4793 weeks
18696.3633 -31.75571 (186*2π)/4793 weeks
187108.1225 -30.50857 (187*2π)/4793 weeks
188118.1756 -25.01851 (188*2π)/4793 weeks
189126.7782 -16.62408 (189*2π)/4793 weeks
190131.8472 -4.59192 (190*2π)/4793 weeks
191130.2905 7.88475 (191*2π)/4793 weeks
192124.4807 14.82075 (192*2π)/4792 weeks
193121.241 16.33159 (193*2π)/4792 weeks
194123.4366 19.7233 (194*2π)/4792 weeks
195123.1792 28.79826 (195*2π)/4792 weeks
196116.5973 36.15848 (196*2π)/4792 weeks
197111.2497 39.00909 (197*2π)/4792 weeks
198105.4575 43.89695 (198*2π)/4792 weeks
19996.39718 44.82837 (199*2π)/4792 weeks
20092.04807 42.55945 (200*2π)/4792 weeks
20188.7082 43.24404 (201*2π)/4792 weeks
20282.07218 44.31282 (202*2π)/4792 weeks
20375.94038 41.75661 (203*2π)/4792 weeks
20471.74541 39.92735 (204*2π)/4792 weeks
20564.75851 37.74197 (205*2π)/4792 weeks
20658.83835 30.32929 (206*2π)/4792 weeks
20758.81216 22.9232 (207*2π)/4792 weeks
20858.14897 21.45849 (208*2π)/4792 weeks
20952.31803 14.18415 (209*2π)/4792 weeks
21054.96516 4.50335 (210*2π)/4792 weeks
21157.39101 .4048 (211*2π)/4792 weeks
21259.10465 -7.52465 (212*2π)/4792 weeks
21367.68979 -13.63053 (213*2π)/4792 weeks
21475.36939 -12.75083 (214*2π)/4792 weeks
21578.62885 -12.09532 (215*2π)/4792 weeks
21683.58057 -13.39854 (216*2π)/4792 weeks
21788.93008 -9.76065 (217*2π)/4792 weeks
21889.27383 -6.51696 (218*2π)/4792 weeks
21989.08289 -7.44002 (219*2π)/4792 weeks
22093.17272 -9.34607 (220*2π)/4792 weeks
22199.17876 -7.84568 (221*2π)/4792 weeks
222103.1003 -3.80542 (222*2π)/4792 weeks
223108.0563 1.06109 (223*2π)/4792 weeks
224108.8074 10.36525 (224*2π)/4792 weeks
225104.4041 15.31957 (225*2π)/4792 weeks
226103.7628 16.5686 (226*2π)/4792 weeks
227104.4701 22.54449 (227*2π)/4792 weeks
228101.3313 30.1281 (228*2π)/4792 weeks
22993.4406 36.73791 (229*2π)/4792 weeks
23083.40635 36.56998 (230*2π)/4792 weeks
23177.90026 33.01233 (231*2π)/4792 weeks
23275.58217 30.75016 (232*2π)/4792 weeks
23374.80278 32.11042 (233*2π)/4792 weeks
23469.40363 36.47404 (234*2π)/4792 weeks
23557.66969 37.26528 (235*2π)/4792 weeks
23646.08142 29.99629 (236*2π)/4792 weeks
23741.00263 19.11919 (237*2π)/4792 weeks
23839.96692 8.5638 (238*2π)/4792 weeks
23943.15814 1.31113 (239*2π)/4792 weeks
24043.15814 -1.31113 (240*2π)/4792 weeks
24139.96692 -8.5638 (241*2π)/4792 weeks
24241.00263 -19.11919 (242*2π)/4792 weeks
24346.08142 -29.99629 (243*2π)/4792 weeks
24457.66969 -37.26528 (244*2π)/4792 weeks
24569.40363 -36.47404 (245*2π)/4792 weeks
24674.80278 -32.11042 (246*2π)/4792 weeks
24775.58217 -30.75016 (247*2π)/4792 weeks
24877.90026 -33.01233 (248*2π)/4792 weeks
24983.40635 -36.56998 (249*2π)/4792 weeks
25093.4406 -36.73791 (250*2π)/4792 weeks
251101.3313 -30.1281 (251*2π)/4792 weeks
252104.4701 -22.54449 (252*2π)/4792 weeks
253103.7628 -16.5686 (253*2π)/4792 weeks
254104.4041 -15.31957 (254*2π)/4792 weeks
255108.8074 -10.36525 (255*2π)/4792 weeks
256108.0563 -1.06109 (256*2π)/4792 weeks
257103.1003 3.80542 (257*2π)/4792 weeks
25899.17876 7.84568 (258*2π)/4792 weeks
25993.17272 9.34607 (259*2π)/4792 weeks
26089.08289 7.44002 (260*2π)/4792 weeks
26189.27383 6.51696 (261*2π)/4792 weeks
26288.93008 9.76065 (262*2π)/4792 weeks
26383.58057 13.39854 (263*2π)/4792 weeks
26478.62885 12.09532 (264*2π)/4792 weeks
26575.36939 12.75083 (265*2π)/4792 weeks
26667.68979 13.63053 (266*2π)/4792 weeks
26759.10465 7.52465 (267*2π)/4792 weeks
26857.39101 -.4048 (268*2π)/4792 weeks
26954.96516 -4.50335 (269*2π)/4792 weeks
27052.31803 -14.18415 (270*2π)/4792 weeks
27158.14897 -21.45849 (271*2π)/4792 weeks
27258.81216 -22.9232 (272*2π)/4792 weeks
27358.83835 -30.32929 (273*2π)/4792 weeks
27464.75851 -37.74197 (274*2π)/4792 weeks
27571.74541 -39.92735 (275*2π)/4792 weeks
27675.94038 -41.75661 (276*2π)/4792 weeks
27782.07218 -44.31282 (277*2π)/4792 weeks
27888.7082 -43.24404 (278*2π)/4792 weeks
27992.04807 -42.55945 (279*2π)/4792 weeks
28096.39718 -44.82837 (280*2π)/4792 weeks
281105.4575 -43.89695 (281*2π)/4792 weeks
282111.2497 -39.00909 (282*2π)/4792 weeks
283116.5973 -36.15848 (283*2π)/4792 weeks
284123.1792 -28.79826 (284*2π)/4792 weeks
285123.4366 -19.7233 (285*2π)/4792 weeks
286121.241 -16.33159 (286*2π)/4792 weeks
287124.4807 -14.82075 (287*2π)/4792 weeks
288130.2905 -7.88475 (288*2π)/4792 weeks
289131.8472 4.59192 (289*2π)/4792 weeks
290126.7782 16.62408 (290*2π)/4792 weeks
291118.1756 25.01851 (291*2π)/4792 weeks
292108.1225 30.50857 (292*2π)/4792 weeks
29396.3633 31.75571 (293*2π)/4792 weeks
29488.41772 28.0905 (294*2π)/4792 weeks
29584.85841 26.63392 (295*2π)/4792 weeks
29678.2191 28.58451 (296*2π)/4792 weeks
29768.00368 26.50148 (297*2π)/4792 weeks
29860.09885 20.11104 (298*2π)/4792 weeks
29953.83886 12.71922 (299*2π)/4792 weeks
30049.89859 2.29107 (300*2π)/4792 weeks
30152.64704 -9.0271 (301*2π)/4792 weeks
30258.58262 -12.01543 (302*2π)/4792 weeks
30356.38348 -13.66497 (303*2π)/4792 weeks
30457.86584 -23.50924 (304*2π)/4792 weeks
30566.3197 -26.62811 (305*2π)/4792 weeks
30669.49231 -25.44382 (306*2π)/4792 weeks
30771.09337 -26.97546 (307*2π)/4792 weeks
30874.91835 -26.40499 (308*2π)/4792 weeks
30971.84162 -24.2697 (309*2π)/4792 weeks
31069.60649 -32.39472 (310*2π)/4792 weeks
31177.83448 -38.94291 (311*2π)/4792 weeks
31285.05766 -37.83034 (312*2π)/4792 weeks
31390.14811 -36.91682 (313*2π)/4792 weeks
31496.39393 -33.70933 (314*2π)/4792 weeks
31598.8418 -27.91531 (315*2π)/4792 weeks
31698.14164 -24.74305 (316*2π)/4792 weeks
317100.5921 -23.95893 (317*2π)/4792 weeks
318103.231 -18.22446 (318*2π)/4792 weeks
319101.5671 -13.36458 (319*2π)/4792 weeks
320100.7837 -9.14678 (320*2π)/4791 weeks
32197.2684 -4.68285 (321*2π)/4791 weeks
32292.59608 -2.75431 (322*2π)/4791 weeks
32388.36637 -1.78311 (323*2π)/4791 weeks
32484.21684 -3.02785 (324*2π)/4791 weeks
32582.57801 -4.49268 (325*2π)/4791 weeks
32680.74114 -4.96347 (326*2π)/4791 weeks
32778.39166 -5.34817 (327*2π)/4791 weeks
32875.99019 -6.40589 (328*2π)/4791 weeks
32974.23453 -8.5461 (329*2π)/4791 weeks
33073.77767 -11.07208 (330*2π)/4791 weeks
33174.7024 -10.84728 (331*2π)/4791 weeks
33272.96268 -9.50794 (332*2π)/4791 weeks
33369.74094 -9.07138 (333*2π)/4791 weeks
33465.20702 -10.49934 (334*2π)/4791 weeks
33562.49501 -14.1866 (335*2π)/4791 weeks
33659.83697 -16.07342 (336*2π)/4791 weeks
33755.31022 -21.6649 (337*2π)/4791 weeks
33854.52517 -29.52258 (338*2π)/4791 weeks
33956.87931 -37.56086 (339*2π)/4791 weeks
34064.55532 -43.43286 (340*2π)/4791 weeks
34171.65398 -40.61329 (341*2π)/4791 weeks
34269.62675 -37.94872 (342*2π)/4791 weeks
34368.20345 -42.02528 (343*2π)/4791 weeks
34470.92537 -47.35193 (344*2π)/4791 weeks
34575.97833 -51.25979 (345*2π)/4791 weeks
34682.81274 -54.57188 (346*2π)/4791 weeks
34794.19033 -52.5102 (347*2π)/4791 weeks
34899.82447 -43.02689 (348*2π)/4791 weeks
34999.76017 -37.34967 (349*2π)/4791 weeks
350102.3736 -32.01735 (350*2π)/4791 weeks
351100.9783 -22.93296 (351*2π)/4791 weeks
35296.65562 -16.66457 (352*2π)/4791 weeks
35391.48387 -10.32331 (353*2π)/4791 weeks
35479.80196 -4.88115 (354*2π)/4791 weeks
35564.67863 -8.60632 (355*2π)/4791 weeks
35658.22153 -20.31952 (356*2π)/4791 weeks
35757.94022 -27.03051 (357*2π)/4791 weeks
35854.57375 -35.06806 (358*2π)/4791 weeks
35958.59061 -45.78561 (359*2π)/4791 weeks
36065.91262 -47.90155 (360*2π)/4791 weeks
36167.81806 -47.53879 (361*2π)/4791 weeks
36269.65784 -51.55729 (362*2π)/4791 weeks
36374.8442 -52.0154 (363*2π)/4791 weeks
36476.5439 -48.09245 (364*2π)/4791 weeks
36573.8537 -46.75567 (365*2π)/4791 weeks
36670.67278 -49.45933 (366*2π)/4791 weeks
36768.98722 -54.3751 (367*2π)/4791 weeks
36870.57902 -61.75367 (368*2π)/4791 weeks
36976.43621 -66.5604 (369*2π)/4791 weeks
37083.32149 -68.43345 (370*2π)/4791 weeks
37191.16232 -68.06711 (371*2π)/4791 weeks
37296.09973 -62.23168 (372*2π)/4791 weeks
37395.7012 -57.25303 (373*2π)/4791 weeks
37492.56274 -55.76934 (374*2π)/4791 weeks
37592.38274 -58.68268 (375*2π)/4791 weeks
37694.02853 -61.97032 (376*2π)/4791 weeks
37799.94682 -65.01437 (377*2π)/4791 weeks
378108.2145 -61.33924 (378*2π)/4791 weeks
379111.0221 -52.98191 (379*2π)/4791 weeks
380106.9641 -49.85363 (380*2π)/4791 weeks
381109.1225 -52.9747 (381*2π)/4791 weeks
382116.6046 -49.38581 (382*2π)/4791 weeks
383120.2106 -39.89162 (383*2π)/4791 weeks
384119.2079 -29.51241 (384*2π)/4791 weeks
385111.8165 -21.43004 (385*2π)/4791 weeks
386105.0165 -20.09776 (386*2π)/4791 weeks
387102.8955 -16.61087 (387*2π)/4791 weeks
38898.5344 -12.85443 (388*2π)/4791 weeks
38994.49727 -6.67453 (389*2π)/4791 weeks
39083.85896 -.00061 (390*2π)/4791 weeks
39170.85347 1.08703 (391*2π)/4791 weeks
39259.66294 -.3995 (392*2π)/4791 weeks
39348.13262 -4.0107 (393*2π)/4791 weeks
39436.50955 -8.75288 (394*2π)/4791 weeks
39524.43402 -15.63227 (395*2π)/4791 weeks
39610.4389 -24.9337 (396*2π)/4791 weeks
397-3.49458 -44.20827 (397*2π)/4791 weeks
398-5.05407 -69.25117 (398*2π)/4791 weeks
3991.00445 -87.97781 (399*2π)/4791 weeks
4007.11021 -102.5978 (400*2π)/4791 weeks
40114.49826 -117.4171 (401*2π)/4791 weeks
40225.53941 -130.5401 (402*2π)/4791 weeks
40339.76771 -140.8288 (403*2π)/4791 weeks
40455.54478 -147.9545 (404*2π)/4791 weeks
40572.95768 -147.0562 (405*2π)/4791 weeks
40679.67572 -140.241 (406*2π)/4791 weeks
40782.04711 -144.5982 (407*2π)/4791 weeks
40894.43719 -149.566 (408*2π)/4791 weeks
409105.0782 -147.8862 (409*2π)/4791 weeks
410116.5016 -150.9322 (410*2π)/4791 weeks
411136.0795 -142.964 (411*2π)/4791 weeks
412139.7343 -122.9004 (412*2π)/4791 weeks
413127.9602 -122.5678 (413*2π)/4791 weeks
414137.9385 -134.9697 (414*2π)/4791 weeks
415157.6074 -129.6779 (415*2π)/4791 weeks
416167.4567 -118.6255 (416*2π)/4791 weeks
417180.1858 -106.9679 (417*2π)/4791 weeks
418190.4245 -83.52702 (418*2π)/4791 weeks
419183.1486 -57.43699 (419*2π)/4791 weeks
420169.9054 -45.94246 (420*2π)/4791 weeks
421166.8153 -32.86547 (421*2π)/4791 weeks
422150.8983 -13.07635 (422*2π)/4791 weeks
423127.9678 -3.5608 (423*2π)/4791 weeks
424108.4033 -1.55225 (424*2π)/4791 weeks
42584.19161 3.53078 (425*2π)/4791 weeks
42653.78936 -6.60137 (426*2π)/4791 weeks
42736.03659 -25.68771 (427*2π)/4791 weeks
42819.91413 -40.83331 (428*2π)/4791 weeks
4292.74405 -63.14235 (429*2π)/4791 weeks
430-8.7065 -96.90578 (430*2π)/4791 weeks
4311.39124 -130.7045 (431*2π)/4791 weeks
43218.4345 -148.7283 (432*2π)/4791 weeks
43327.08353 -159.118 (433*2π)/4791 weeks
43432.85095 -174.7728 (434*2π)/4791 weeks
43544.17984 -190.3879 (435*2π)/4791 weeks
43654.56607 -205.7909 (436*2π)/4791 weeks
43772.29859 -219.2718 (437*2π)/4791 weeks
43886.30132 -233.7455 (438*2π)/4791 weeks
439112.9272 -247.3407 (439*2π)/4791 weeks
440141.6012 -247.7788 (440*2π)/4791 weeks
441164.7442 -247.6387 (441*2π)/4791 weeks
442199.3822 -240.1994 (442*2π)/4791 weeks
443219.4491 -213.3329 (443*2π)/4791 weeks
444220.2067 -196.131 (444*2π)/4791 weeks
445229.6424 -192.4436 (445*2π)/4791 weeks
446249.5411 -181.8792 (446*2π)/4791 weeks
447265.5542 -158.1595 (447*2π)/4791 weeks
448275.5332 -135.428 (448*2π)/4791 weeks
449288.7789 -98.78697 (449*2π)/4791 weeks
450275.3287 -47.78093 (450*2π)/4791 weeks
451240.292 -16.8208 (451*2π)/4791 weeks
452207.7729 -.00933 (452*2π)/4791 weeks
453166.1747 15.59402 (453*2π)/4791 weeks
454117.8634 14.6954 (454*2π)/4791 weeks
45581.9444 -6.53747 (455*2π)/4791 weeks
45657.03324 -17.22127 (456*2π)/4791 weeks
45712.94619 -36.02602 (457*2π)/4791 weeks
458-19.37464 -73.2868 (458*2π)/4791 weeks
459-47.75895 -107.6491 (459*2π)/4791 weeks
460-72.17121 -163.732 (460*2π)/4791 weeks
461-77.11599 -223.0188 (461*2π)/4791 weeks
462-62.6599 -276.5126 (462*2π)/4791 weeks
463-48.63308 -300.1839 (463*2π)/4791 weeks
464-75.49654 -336.1475 (464*2π)/4791 weeks
465-84.19167 -424.411 (465*2π)/4791 weeks
466-56.95768 -506.857 (466*2π)/4791 weeks
467-21.26953 -592.1113 (467*2π)/4791 weeks
46855.4486 -681.4989 (468*2π)/4791 weeks
469152.874 -719.2369 (469*2π)/4791 weeks
470195.808 -748.972 (470*2π)/4791 weeks
471261.1373 -856.6375 (471*2π)/4791 weeks
472423.4677 -933.2441 (472*2π)/4791 weeks
473576.8599 -927.9949 (473*2π)/4791 weeks
474703.2399 -945.0443 (474*2π)/4791 weeks
475856.0688 -981.3784 (475*2π)/4791 weeks
4761,085.786 -1,019.438 (476*2π)/4791 weeks
4771,398.223 -1,008.414 (477*2π)/4791 weeks



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