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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 47 weeks (734.6395*sine), 42 weeks (675.3882*sine), and 16 weeks (297.2374*cosine).

TZA (DIREXION DAILY SMALL CAP BEAR 3X SHARES DIREXION DAILY SMALL CAP BEAR 3X SHARES) has an average price of 1,330.38 (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 10/16/2017 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
01,330.378   0 
11,991.402 930.56 (1*2π)/466466 weeks
21,416.316 1,036.05 (2*2π)/466233 weeks
31,091.697 1,045.744 (3*2π)/466155 weeks
4858.6318 1,003.543 (4*2π)/466117 weeks
5703.0798 969.0488 (5*2π)/46693 weeks
6573.0003 955.7747 (6*2π)/46678 weeks
7399.5038 950.6798 (7*2π)/46667 weeks
8242.6577 852.2939 (8*2π)/46658 weeks
9194.5117 755.7966 (9*2π)/46652 weeks
10133.088 734.6395 (10*2π)/46647 weeks
1127.53023 675.3882 (11*2π)/46642 weeks
12-36.34039 576.2145 (12*2π)/46639 weeks
13-70.36007 491.1993 (13*2π)/46636 weeks
14-90.89279 398.7364 (14*2π)/46633 weeks
15-62.55661 323.7509 (15*2π)/46631 weeks
16-51.36617 301.3912 (16*2π)/46629 weeks
17-73.88074 259.819 (17*2π)/46627 weeks
18-78.92754 197.9777 (18*2π)/46626 weeks
19-64.7617 135.8865 (19*2π)/46625 weeks
20-30.42439 90.5585 (20*2π)/46623 weeks
21-2.60275 51.67907 (21*2π)/46622 weeks
2241.36959 20.7046 (22*2π)/46621 weeks
2375.30868 13.3638 (23*2π)/46620 weeks
24105.9085 -8.1027 (24*2π)/46619 weeks
25157.0293 -17.54045 (25*2π)/46619 weeks
26203.8988 -6.19082 (26*2π)/46618 weeks
27237.6299 12.35057 (27*2π)/46617 weeks
28275.4115 40.18305 (28*2π)/46617 weeks
29297.2374 91.76565 (29*2π)/46616 weeks
30285.8548 134.8668 (30*2π)/46616 weeks
31274.2169 159.1087 (31*2π)/46615 weeks
32258.8232 184.8657 (32*2π)/46615 weeks
33237.3917 197.3921 (33*2π)/46614 weeks
34226.478 201.3175 (34*2π)/46614 weeks
35225.7751 218.6017 (35*2π)/46613 weeks
36204.7948 246.9747 (36*2π)/46613 weeks
37168.4423 254.4383 (37*2π)/46613 weeks
38144.0643 254.8539 (38*2π)/46612 weeks
39113.3136 253.4451 (39*2π)/46612 weeks
4086.33755 237.9844 (40*2π)/46612 weeks
4171.89379 224.1534 (41*2π)/46611 weeks
4253.81251 208.2744 (42*2π)/46611 weeks
4342.93837 193.011 (43*2π)/46611 weeks
4431.88252 175.5774 (44*2π)/46611 weeks
4526.33727 160.6801 (45*2π)/46610 weeks
4614.51755 149.4504 (46*2π)/46610 weeks
47-3.19585 125.2266 (47*2π)/46610 weeks
48-6.8867 85.88467 (48*2π)/46610 weeks
498.84656 55.48539 (49*2π)/46610 weeks
5027.60003 35.39182 (50*2π)/4669 weeks
5143.07552 18.83587 (51*2π)/4669 weeks
5268.64664 -.20352 (52*2π)/4669 weeks
53100.5712 -1.77926 (53*2π)/4669 weeks
54120.6372 2.76881 (54*2π)/4669 weeks
55144.6093 7.61684 (55*2π)/4668 weeks
56166.4627 23.63367 (56*2π)/4668 weeks
57172.9233 43.74646 (57*2π)/4668 weeks
58182.1711 52.58018 (58*2π)/4668 weeks
59195.1072 75.4115 (59*2π)/4668 weeks
60189.8117 103.8362 (60*2π)/4668 weeks
61175.725 119.2109 (61*2π)/4668 weeks
62165.5472 129.5294 (62*2π)/4668 weeks
63146.9958 139.1764 (63*2π)/4667 weeks
64131.2825 129.1821 (64*2π)/4667 weeks
65141.359 123.735 (65*2π)/4667 weeks
66142.1521 143.9671 (66*2π)/4667 weeks
67122.3555 155.2205 (67*2π)/4667 weeks
68108.7827 152.0151 (68*2π)/4667 weeks
6998.11649 153.7184 (69*2π)/4667 weeks
7084.72235 149.0322 (70*2π)/4667 weeks
7181.90951 144.097 (71*2π)/4667 weeks
7274.85912 151.1976 (72*2π)/4666 weeks
7356.41343 151.9074 (73*2π)/4666 weeks
7439.94451 144.229 (74*2π)/4666 weeks
7525.14704 132.9405 (75*2π)/4666 weeks
7613.72584 118.7558 (76*2π)/4666 weeks
776.27673 103.1946 (77*2π)/4666 weeks
78-.33202 87.56663 (78*2π)/4666 weeks
79-5.98951 66.4883 (79*2π)/4666 weeks
80-.95485 39.87502 (80*2π)/4666 weeks
8115.02584 22.54049 (81*2π)/4666 weeks
8228.75111 13.7419 (82*2π)/4666 weeks
8341.34502 7.15041 (83*2π)/4666 weeks
8453.28091 2.71221 (84*2π)/4666 weeks
8565.76653 -.04916 (85*2π)/4665 weeks
8678.1777 -1.44333 (86*2π)/4665 weeks
8791.58061 2.13068 (87*2π)/4665 weeks
8899.37863 10.40518 (88*2π)/4665 weeks
89103.2239 14.9428 (89*2π)/4665 weeks
90107.2994 19.73106 (90*2π)/4665 weeks
91111.0021 20.53031 (91*2π)/4665 weeks
92119.6972 25.74961 (92*2π)/4665 weeks
93123.5702 36.99011 (93*2π)/4665 weeks
94122.0898 47.47877 (94*2π)/4665 weeks
95114.941 54.10225 (95*2π)/4665 weeks
96109.3636 52.21411 (96*2π)/4665 weeks
97113.0558 52.44475 (97*2π)/4665 weeks
98112.8408 61.16237 (98*2π)/4665 weeks
99105.1209 66.68002 (99*2π)/4665 weeks
10097.51555 64.37214 (100*2π)/4665 weeks
10195.03091 60.66629 (101*2π)/4665 weeks
10294.63784 57.77518 (102*2π)/4665 weeks
10398.11928 58.43108 (103*2π)/4665 weeks
10498.94073 63.33989 (104*2π)/4664 weeks
10594.2884 69.65057 (105*2π)/4664 weeks
10685.91551 70.38076 (106*2π)/4664 weeks
10778.66632 68.47243 (107*2π)/4664 weeks
10872.48045 63.37596 (108*2π)/4664 weeks
10970.94228 55.63125 (109*2π)/4664 weeks
11072.80437 50.57808 (110*2π)/4664 weeks
11176.3191 48.03456 (111*2π)/4664 weeks
11278.90039 49.80963 (112*2π)/4664 weeks
11376.09492 53.63874 (113*2π)/4664 weeks
11470.63395 52.30211 (114*2π)/4664 weeks
11569.76466 48.74525 (115*2π)/4664 weeks
11666.50225 49.28369 (116*2π)/4664 weeks
11758.06647 44.67068 (117*2π)/4664 weeks
11856.68186 32.91603 (118*2π)/4664 weeks
11960.05486 26.42745 (119*2π)/4664 weeks
12060.95586 16.79318 (120*2π)/4664 weeks
12172.17731 5.62949 (121*2π)/4664 weeks
12287.53035 6.27729 (122*2π)/4664 weeks
12396.46203 13.84316 (123*2π)/4664 weeks
124101.4235 20.03521 (124*2π)/4664 weeks
125105.4848 27.9449 (125*2π)/4664 weeks
126103.5844 36.39152 (126*2π)/4664 weeks
127102.4828 40.88142 (127*2π)/4664 weeks
128100.6771 50.11184 (128*2π)/4664 weeks
12989.76104 56.48239 (129*2π)/4664 weeks
13080.2474 53.75132 (130*2π)/4664 weeks
13174.36631 50.1993 (131*2π)/4664 weeks
13270.45402 45.11714 (132*2π)/4664 weeks
13370.728 39.92621 (133*2π)/4664 weeks
13473.92307 40.3016 (134*2π)/4663 weeks
13568.66338 44.75145 (135*2π)/4663 weeks
13659.58219 40.29277 (136*2π)/4663 weeks
13756.23365 31.77356 (137*2π)/4663 weeks
13856.48719 23.4421 (138*2π)/4663 weeks
13960.84112 16.87721 (139*2π)/4663 weeks
14064.0868 14.85787 (140*2π)/4663 weeks
14166.7204 11.02688 (141*2π)/4663 weeks
14271.52088 9.33601 (142*2π)/4663 weeks
14374.96329 9.76752 (143*2π)/4663 weeks
14476.78372 11.17997 (144*2π)/4663 weeks
14575.76814 11.29696 (145*2π)/4663 weeks
14676.40669 8.65374 (146*2π)/4663 weeks
14778.40446 6.42524 (147*2π)/4663 weeks
14880.91253 5.35484 (148*2π)/4663 weeks
14983.25152 5.03359 (149*2π)/4663 weeks
15085.13258 4.5444 (150*2π)/4663 weeks
15187.29053 2.664 (151*2π)/4663 weeks
15292.02048 1.94537 (152*2π)/4663 weeks
15396.33773 3.08769 (153*2π)/4663 weeks
154101.2626 5.96665 (154*2π)/4663 weeks
155104.0451 11.15979 (155*2π)/4663 weeks
156105.1072 14.97462 (156*2π)/4663 weeks
157105.7354 21.30703 (157*2π)/4663 weeks
158101.6364 25.28549 (158*2π)/4663 weeks
159101.2335 26.25244 (159*2π)/4663 weeks
160100.9812 31.39471 (160*2π)/4663 weeks
16196.02438 36.9712 (161*2π)/4663 weeks
16289.82229 38.37585 (162*2π)/4663 weeks
16384.06394 39.84153 (163*2π)/4663 weeks
16474.23062 37.37768 (164*2π)/4663 weeks
16571.70623 27.30815 (165*2π)/4663 weeks
16677.0713 25.57294 (166*2π)/4663 weeks
16774.43543 28.2035 (167*2π)/4663 weeks
16871.72087 26.3042 (168*2π)/4663 weeks
16969.64938 26.92215 (169*2π)/4663 weeks
17061.70123 26.1223 (170*2π)/4663 weeks
17157.23147 16.03682 (171*2π)/4663 weeks
17260.51272 12.17027 (172*2π)/4663 weeks
17355.39097 10.55109 (173*2π)/4663 weeks
17451.1128 -.55679 (174*2π)/4663 weeks
17554.6498 -11.95912 (175*2π)/4663 weeks
17661.18431 -20.04277 (176*2π)/4663 weeks
17769.27977 -26.90045 (177*2π)/4663 weeks
17880.07034 -29.40306 (178*2π)/4663 weeks
17987.20139 -27.38522 (179*2π)/4663 weeks
18090.99455 -28.95105 (180*2π)/4663 weeks
18199.61842 -32.74478 (181*2π)/4663 weeks
182112.0054 -31.01933 (182*2π)/4663 weeks
183122.4697 -24.96293 (183*2π)/4663 weeks
184131.3139 -15.62333 (184*2π)/4663 weeks
185135.7969 -2.53241 (185*2π)/4663 weeks
186132.9107 9.98011 (186*2π)/4663 weeks
187126.7765 15.89727 (187*2π)/4662 weeks
188124.8117 17.05021 (188*2π)/4662 weeks
189127.4111 22.4377 (189*2π)/4662 weeks
190125.0683 32.53046 (190*2π)/4662 weeks
191117.5274 38.24008 (191*2π)/4662 weeks
192112.8323 41.80522 (192*2π)/4662 weeks
193104.8884 46.3409 (193*2π)/4662 weeks
19496.51085 44.69874 (194*2π)/4662 weeks
19593.11124 43.80072 (195*2π)/4662 weeks
19688.48189 45.58409 (196*2π)/4662 weeks
19780.94901 44.51761 (197*2π)/4662 weeks
19875.95766 41.57584 (198*2π)/4662 weeks
19970.20445 40.30895 (199*2π)/4662 weeks
20062.37395 34.83615 (200*2π)/4662 weeks
20159.85461 25.96861 (201*2π)/4662 weeks
20261.08463 22.15501 (202*2π)/4662 weeks
20355.09446 18.31464 (203*2π)/4662 weeks
20454.91812 6.94902 (204*2π)/4662 weeks
20558.84426 1.69397 (205*2π)/4662 weeks
20659.65276 -5.26162 (206*2π)/4662 weeks
20767.32984 -13.28337 (207*2π)/4662 weeks
20876.44414 -13.56877 (208*2π)/4662 weeks
20980.32872 -12.36533 (209*2π)/4662 weeks
21084.8619 -13.78578 (210*2π)/4662 weeks
21191.09399 -10.59563 (211*2π)/4662 weeks
21291.82754 -6.83791 (212*2π)/4662 weeks
21391.47079 -7.49057 (213*2π)/4662 weeks
21495.59354 -9.59464 (214*2π)/4662 weeks
215101.9288 -8.07166 (215*2π)/4662 weeks
216106.0675 -3.83287 (216*2π)/4662 weeks
217111.3038 1.542 (217*2π)/4662 weeks
218111.537 11.35013 (218*2π)/4662 weeks
219106.9276 15.93516 (219*2π)/4662 weeks
220106.9795 17.56867 (220*2π)/4662 weeks
221107.1422 24.40024 (221*2π)/4662 weeks
222103.0493 32.42734 (222*2π)/4662 weeks
22393.50751 38.40534 (223*2π)/4662 weeks
22483.81472 36.78869 (224*2π)/4662 weeks
22579.25156 33.17328 (225*2π)/4662 weeks
22677.55287 31.34935 (226*2π)/4662 weeks
22775.68505 34.42162 (227*2π)/4662 weeks
22867.53945 38.77165 (228*2π)/4662 weeks
22954.30873 36.39201 (229*2π)/4662 weeks
23044.50315 25.92871 (230*2π)/4662 weeks
23141.01844 14.75669 (231*2π)/4662 weeks
23242.29168 4.43933 (232*2π)/4662 weeks
23345.22299   (233*2π)/4662 weeks
23442.29168 -4.43933 (234*2π)/4662 weeks
23541.01844 -14.75669 (235*2π)/4662 weeks
23644.50315 -25.92871 (236*2π)/4662 weeks
23754.30873 -36.39201 (237*2π)/4662 weeks
23867.53945 -38.77165 (238*2π)/4662 weeks
23975.68505 -34.42162 (239*2π)/4662 weeks
24077.55287 -31.34935 (240*2π)/4662 weeks
24179.25156 -33.17328 (241*2π)/4662 weeks
24283.81472 -36.78869 (242*2π)/4662 weeks
24393.50751 -38.40534 (243*2π)/4662 weeks
244103.0493 -32.42734 (244*2π)/4662 weeks
245107.1422 -24.40024 (245*2π)/4662 weeks
246106.9795 -17.56867 (246*2π)/4662 weeks
247106.9276 -15.93516 (247*2π)/4662 weeks
248111.537 -11.35013 (248*2π)/4662 weeks
249111.3038 -1.542 (249*2π)/4662 weeks
250106.0675 3.83287 (250*2π)/4662 weeks
251101.9288 8.07166 (251*2π)/4662 weeks
25295.59354 9.59464 (252*2π)/4662 weeks
25391.47079 7.49057 (253*2π)/4662 weeks
25491.82754 6.83791 (254*2π)/4662 weeks
25591.09399 10.59563 (255*2π)/4662 weeks
25684.8619 13.78578 (256*2π)/4662 weeks
25780.32872 12.36533 (257*2π)/4662 weeks
25876.44414 13.56877 (258*2π)/4662 weeks
25967.32984 13.28337 (259*2π)/4662 weeks
26059.65276 5.26162 (260*2π)/4662 weeks
26158.84426 -1.69397 (261*2π)/4662 weeks
26254.91812 -6.94902 (262*2π)/4662 weeks
26355.09446 -18.31464 (263*2π)/4662 weeks
26461.08463 -22.15501 (264*2π)/4662 weeks
26559.85461 -25.96861 (265*2π)/4662 weeks
26662.37395 -34.83615 (266*2π)/4662 weeks
26770.20445 -40.30895 (267*2π)/4662 weeks
26875.95766 -41.57584 (268*2π)/4662 weeks
26980.94901 -44.51761 (269*2π)/4662 weeks
27088.48189 -45.58409 (270*2π)/4662 weeks
27193.11124 -43.80072 (271*2π)/4662 weeks
27296.51085 -44.69874 (272*2π)/4662 weeks
273104.8884 -46.3409 (273*2π)/4662 weeks
274112.8323 -41.80522 (274*2π)/4662 weeks
275117.5274 -38.24008 (275*2π)/4662 weeks
276125.0683 -32.53046 (276*2π)/4662 weeks
277127.4111 -22.4377 (277*2π)/4662 weeks
278124.8117 -17.05021 (278*2π)/4662 weeks
279126.7765 -15.89727 (279*2π)/4662 weeks
280132.9107 -9.98011 (280*2π)/4662 weeks
281135.7969 2.53241 (281*2π)/4662 weeks
282131.3139 15.62333 (282*2π)/4662 weeks
283122.4697 24.96293 (283*2π)/4662 weeks
284112.0054 31.01933 (284*2π)/4662 weeks
28599.61842 32.74478 (285*2π)/4662 weeks
28690.99455 28.95105 (286*2π)/4662 weeks
28787.20139 27.38522 (287*2π)/4662 weeks
28880.07034 29.40306 (288*2π)/4662 weeks
28969.27977 26.90045 (289*2π)/4662 weeks
29061.18431 20.04277 (290*2π)/4662 weeks
29154.6498 11.95912 (291*2π)/4662 weeks
29251.1128 .55679 (292*2π)/4662 weeks
29355.39097 -10.55109 (293*2π)/4662 weeks
29460.51272 -12.17027 (294*2π)/4662 weeks
29557.23147 -16.03682 (295*2π)/4662 weeks
29661.70123 -26.1223 (296*2π)/4662 weeks
29769.64938 -26.92215 (297*2π)/4662 weeks
29871.72087 -26.3042 (298*2π)/4662 weeks
29974.43543 -28.2035 (299*2π)/4662 weeks
30077.0713 -25.57294 (300*2π)/4662 weeks
30171.70623 -27.30815 (301*2π)/4662 weeks
30274.23062 -37.37768 (302*2π)/4662 weeks
30384.06394 -39.84153 (303*2π)/4662 weeks
30489.82229 -38.37585 (304*2π)/4662 weeks
30596.02438 -36.9712 (305*2π)/4662 weeks
306100.9812 -31.39471 (306*2π)/4662 weeks
307101.2335 -26.25244 (307*2π)/4662 weeks
308101.6364 -25.28549 (308*2π)/4662 weeks
309105.7354 -21.30703 (309*2π)/4662 weeks
310105.1072 -14.97462 (310*2π)/4662 weeks
311104.0451 -11.15979 (311*2π)/4661 weeks
312101.2626 -5.96665 (312*2π)/4661 weeks
31396.33773 -3.08769 (313*2π)/4661 weeks
31492.02048 -1.94537 (314*2π)/4661 weeks
31587.29053 -2.664 (315*2π)/4661 weeks
31685.13258 -4.5444 (316*2π)/4661 weeks
31783.25152 -5.03359 (317*2π)/4661 weeks
31880.91253 -5.35484 (318*2π)/4661 weeks
31978.40446 -6.42524 (319*2π)/4661 weeks
32076.40669 -8.65374 (320*2π)/4661 weeks
32175.76814 -11.29696 (321*2π)/4661 weeks
32276.78372 -11.17997 (322*2π)/4661 weeks
32374.96329 -9.76752 (323*2π)/4661 weeks
32471.52088 -9.33601 (324*2π)/4661 weeks
32566.7204 -11.02688 (325*2π)/4661 weeks
32664.0868 -14.85787 (326*2π)/4661 weeks
32760.84112 -16.87721 (327*2π)/4661 weeks
32856.48719 -23.4421 (328*2π)/4661 weeks
32956.23365 -31.77356 (329*2π)/4661 weeks
33059.58219 -40.29277 (330*2π)/4661 weeks
33168.66338 -44.75145 (331*2π)/4661 weeks
33273.92307 -40.3016 (332*2π)/4661 weeks
33370.728 -39.92621 (333*2π)/4661 weeks
33470.45402 -45.11714 (334*2π)/4661 weeks
33574.36631 -50.1993 (335*2π)/4661 weeks
33680.2474 -53.75132 (336*2π)/4661 weeks
33789.76104 -56.48239 (337*2π)/4661 weeks
338100.6771 -50.11184 (338*2π)/4661 weeks
339102.4828 -40.88142 (339*2π)/4661 weeks
340103.5844 -36.39152 (340*2π)/4661 weeks
341105.4848 -27.9449 (341*2π)/4661 weeks
342101.4235 -20.03521 (342*2π)/4661 weeks
34396.46203 -13.84316 (343*2π)/4661 weeks
34487.53035 -6.27729 (344*2π)/4661 weeks
34572.17731 -5.62949 (345*2π)/4661 weeks
34660.95586 -16.79318 (346*2π)/4661 weeks
34760.05486 -26.42745 (347*2π)/4661 weeks
34856.68186 -32.91603 (348*2π)/4661 weeks
34958.06647 -44.67068 (349*2π)/4661 weeks
35066.50225 -49.28369 (350*2π)/4661 weeks
35169.76466 -48.74525 (351*2π)/4661 weeks
35270.63395 -52.30211 (352*2π)/4661 weeks
35376.09492 -53.63874 (353*2π)/4661 weeks
35478.90039 -49.80963 (354*2π)/4661 weeks
35576.3191 -48.03456 (355*2π)/4661 weeks
35672.80437 -50.57808 (356*2π)/4661 weeks
35770.94228 -55.63125 (357*2π)/4661 weeks
35872.48045 -63.37596 (358*2π)/4661 weeks
35978.66632 -68.47243 (359*2π)/4661 weeks
36085.91551 -70.38076 (360*2π)/4661 weeks
36194.2884 -69.65057 (361*2π)/4661 weeks
36298.94073 -63.33989 (362*2π)/4661 weeks
36398.11928 -58.43108 (363*2π)/4661 weeks
36494.63784 -57.77518 (364*2π)/4661 weeks
36595.03091 -60.66629 (365*2π)/4661 weeks
36697.51555 -64.37214 (366*2π)/4661 weeks
367105.1209 -66.68002 (367*2π)/4661 weeks
368112.8408 -61.16237 (368*2π)/4661 weeks
369113.0558 -52.44475 (369*2π)/4661 weeks
370109.3636 -52.21411 (370*2π)/4661 weeks
371114.941 -54.10225 (371*2π)/4661 weeks
372122.0898 -47.47877 (372*2π)/4661 weeks
373123.5702 -36.99011 (373*2π)/4661 weeks
374119.6972 -25.74961 (374*2π)/4661 weeks
375111.0021 -20.53031 (375*2π)/4661 weeks
376107.2994 -19.73106 (376*2π)/4661 weeks
377103.2239 -14.9428 (377*2π)/4661 weeks
37899.37863 -10.40518 (378*2π)/4661 weeks
37991.58061 -2.13068 (379*2π)/4661 weeks
38078.1777 1.44333 (380*2π)/4661 weeks
38165.76653 .04916 (381*2π)/4661 weeks
38253.28091 -2.71221 (382*2π)/4661 weeks
38341.34502 -7.15041 (383*2π)/4661 weeks
38428.75111 -13.7419 (384*2π)/4661 weeks
38515.02584 -22.54049 (385*2π)/4661 weeks
386-.95485 -39.87502 (386*2π)/4661 weeks
387-5.98951 -66.4883 (387*2π)/4661 weeks
388-.33202 -87.56663 (388*2π)/4661 weeks
3896.27673 -103.1946 (389*2π)/4661 weeks
39013.72584 -118.7558 (390*2π)/4661 weeks
39125.14704 -132.9405 (391*2π)/4661 weeks
39239.94451 -144.229 (392*2π)/4661 weeks
39356.41343 -151.9074 (393*2π)/4661 weeks
39474.85912 -151.1976 (394*2π)/4661 weeks
39581.90951 -144.097 (395*2π)/4661 weeks
39684.72235 -149.0322 (396*2π)/4661 weeks
39798.11649 -153.7184 (397*2π)/4661 weeks
398108.7827 -152.0151 (398*2π)/4661 weeks
399122.3555 -155.2205 (399*2π)/4661 weeks
400142.1521 -143.9671 (400*2π)/4661 weeks
401141.359 -123.735 (401*2π)/4661 weeks
402131.2825 -129.1821 (402*2π)/4661 weeks
403146.9958 -139.1764 (403*2π)/4661 weeks
404165.5472 -129.5294 (404*2π)/4661 weeks
405175.725 -119.2109 (405*2π)/4661 weeks
406189.8117 -103.8362 (406*2π)/4661 weeks
407195.1072 -75.4115 (407*2π)/4661 weeks
408182.1711 -52.58018 (408*2π)/4661 weeks
409172.9233 -43.74646 (409*2π)/4661 weeks
410166.4627 -23.63367 (410*2π)/4661 weeks
411144.6093 -7.61684 (411*2π)/4661 weeks
412120.6372 -2.76881 (412*2π)/4661 weeks
413100.5712 1.77926 (413*2π)/4661 weeks
41468.64664 .20352 (414*2π)/4661 weeks
41543.07552 -18.83587 (415*2π)/4661 weeks
41627.60003 -35.39182 (416*2π)/4661 weeks
4178.84656 -55.48539 (417*2π)/4661 weeks
418-6.8867 -85.88467 (418*2π)/4661 weeks
419-3.19585 -125.2266 (419*2π)/4661 weeks
42014.51755 -149.4504 (420*2π)/4661 weeks
42126.33727 -160.6801 (421*2π)/4661 weeks
42231.88252 -175.5774 (422*2π)/4661 weeks
42342.93837 -193.011 (423*2π)/4661 weeks
42453.81251 -208.2744 (424*2π)/4661 weeks
42571.89379 -224.1534 (425*2π)/4661 weeks
42686.33755 -237.9844 (426*2π)/4661 weeks
427113.3136 -253.4451 (427*2π)/4661 weeks
428144.0643 -254.8539 (428*2π)/4661 weeks
429168.4423 -254.4383 (429*2π)/4661 weeks
430204.7948 -246.9747 (430*2π)/4661 weeks
431225.7751 -218.6017 (431*2π)/4661 weeks
432226.478 -201.3175 (432*2π)/4661 weeks
433237.3917 -197.3921 (433*2π)/4661 weeks
434258.8232 -184.8657 (434*2π)/4661 weeks
435274.2169 -159.1087 (435*2π)/4661 weeks
436285.8548 -134.8668 (436*2π)/4661 weeks
437297.2374 -91.76565 (437*2π)/4661 weeks
438275.4115 -40.18305 (438*2π)/4661 weeks
439237.6299 -12.35057 (439*2π)/4661 weeks
440203.8988 6.19082 (440*2π)/4661 weeks
441157.0293 17.54045 (441*2π)/4661 weeks
442105.9085 8.1027 (442*2π)/4661 weeks
44375.30868 -13.3638 (443*2π)/4661 weeks
44441.36959 -20.7046 (444*2π)/4661 weeks
445-2.60275 -51.67907 (445*2π)/4661 weeks
446-30.42439 -90.5585 (446*2π)/4661 weeks
447-64.7617 -135.8865 (447*2π)/4661 weeks
448-78.92754 -197.9777 (448*2π)/4661 weeks
449-73.88074 -259.819 (449*2π)/4661 weeks
450-51.36617 -301.3912 (450*2π)/4661 weeks
451-62.55661 -323.7509 (451*2π)/4661 weeks
452-90.89279 -398.7364 (452*2π)/4661 weeks
453-70.36007 -491.1993 (453*2π)/4661 weeks
454-36.34039 -576.2145 (454*2π)/4661 weeks
45527.53023 -675.3882 (455*2π)/4661 weeks
456133.088 -734.6395 (456*2π)/4661 weeks
457194.5117 -755.7966 (457*2π)/4661 weeks
458242.6577 -852.2939 (458*2π)/4661 weeks
459399.5038 -950.6798 (459*2π)/4661 weeks
460573.0003 -955.7747 (460*2π)/4661 weeks
461703.0798 -969.0488 (461*2π)/4661 weeks
462858.6318 -1,003.543 (462*2π)/4661 weeks
4631,091.697 -1,045.744 (463*2π)/4661 weeks
4641,416.316 -1,036.05 (464*2π)/4661 weeks



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