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


TZA (Direxion Small Cap Bear 3X Shar) appears to have interesting cyclic behaviour every 44 weeks (749.5594*sine), 40 weeks (641.2792*sine), and 16 weeks (317.1541*cosine).

TZA (Direxion Small Cap Bear 3X Shar) has an average price of 1,420.78 (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 3/20/2017 for TZA (Direxion Small Cap Bear 3X Shar), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,420.776   0 
12,073.296 1,017.376 (1*2π)/436436 weeks
21,460.895 1,106.993 (2*2π)/436218 weeks
31,105.316 1,108.991 (3*2π)/436145 weeks
4865.1343 1,057.585 (4*2π)/436109 weeks
5698.3141 1,027.236 (5*2π)/43687 weeks
6544.6719 1,030.068 (6*2π)/43673 weeks
7335.7147 976.939 (7*2π)/43662 weeks
8221.7524 840.646 (8*2π)/43655 weeks
9176.5987 791.4249 (9*2π)/43648 weeks
1062.45494 749.5594 (10*2π)/43644 weeks
11-27.834 641.2792 (11*2π)/43640 weeks
12-69.13858 540.764 (12*2π)/43636 weeks
13-96.75964 437.4799 (13*2π)/43634 weeks
14-68.15795 347.5356 (14*2π)/43631 weeks
15-55.46858 321.391 (15*2π)/43629 weeks
16-80.4989 271.4348 (16*2π)/43627 weeks
17-82.91249 200.266 (17*2π)/43626 weeks
18-61.24456 130.0582 (18*2π)/43624 weeks
19-24.42236 85.45295 (19*2π)/43623 weeks
2012.97618 40.45647 (20*2π)/43622 weeks
2165.30138 18.69267 (21*2π)/43621 weeks
2295.15551 3.3642 (22*2π)/43620 weeks
23144.7226 -19.3879 (23*2π)/43619 weeks
24200.9398 -13.83607 (24*2π)/43618 weeks
25243.2462 8.42874 (25*2π)/43617 weeks
26286.0446 34.92163 (26*2π)/43617 weeks
27317.1541 89.57163 (27*2π)/43616 weeks
28306.9113 141.6583 (28*2π)/43616 weeks
29293.1622 169.8234 (29*2π)/43615 weeks
30275.157 198.8759 (30*2π)/43615 weeks
31251.3643 211.6017 (31*2π)/43614 weeks
32241.8715 216.5085 (32*2π)/43614 weeks
33237.8468 241.9849 (33*2π)/43613 weeks
34204.9901 270.5327 (34*2π)/43613 weeks
35169.0426 271.2094 (35*2π)/43612 weeks
36139.3698 273.6 (36*2π)/43612 weeks
37103.9201 263.3127 (37*2π)/43612 weeks
3883.03575 243.3329 (38*2π)/43611 weeks
3962.4413 229.1349 (39*2π)/43611 weeks
4049.14836 209.8735 (40*2π)/43611 weeks
4135.61827 191.1198 (41*2π)/43611 weeks
4228.88655 172.9937 (42*2π)/43610 weeks
4316.26443 160.2947 (43*2π)/43610 weeks
44-3.85891 132.8359 (44*2π)/43610 weeks
45-6.12179 87.80861 (45*2π)/43610 weeks
4612.63882 54.9521 (46*2π)/4369 weeks
4733.77546 33.93888 (47*2π)/4369 weeks
4852.1958 13.03855 (48*2π)/4369 weeks
4986.63876 -3.50619 (49*2π)/4369 weeks
50117.7619 1.30718 (50*2π)/4369 weeks
51141.3519 3.99966 (51*2π)/4369 weeks
52168.7531 16.39206 (52*2π)/4368 weeks
53184.2289 41.03543 (53*2π)/4368 weeks
54190.1545 52.92974 (54*2π)/4368 weeks
55206.7976 73.99538 (55*2π)/4368 weeks
56204.9635 107.2776 (56*2π)/4368 weeks
57188.9191 126.486 (57*2π)/4368 weeks
58177.0259 138.2849 (58*2π)/4368 weeks
59155.664 148.7374 (59*2π)/4367 weeks
60140.2777 135.8801 (60*2π)/4367 weeks
61153.6656 135.2771 (61*2π)/4367 weeks
62147.4236 159.0858 (62*2π)/4367 weeks
63123.9819 165.0553 (63*2π)/4367 weeks
64112.6237 162.9687 (64*2π)/4367 weeks
6597.44441 163.3029 (65*2π)/4367 weeks
6687.82227 154.7676 (66*2π)/4367 weeks
6785.1608 158.0056 (67*2π)/4367 weeks
6866.81931 163.3257 (68*2π)/4366 weeks
6946.62576 156.3304 (69*2π)/4366 weeks
7029.31857 144.7098 (70*2π)/4366 weeks
7115.87929 128.8821 (71*2π)/4366 weeks
727.03741 111.0155 (72*2π)/4366 weeks
73-.5607 93.11184 (73*2π)/4366 weeks
74-6.70387 68.53896 (74*2π)/4366 weeks
751.28882 38.71566 (75*2π)/4366 weeks
7619.82747 21.67858 (76*2π)/4366 weeks
7734.85003 12.30692 (77*2π)/4366 weeks
7849.09507 5.65772 (78*2π)/4366 weeks
7962.70613 .96538 (79*2π)/4366 weeks
8076.40473 -.98844 (80*2π)/4365 weeks
8191.96333 -.08412 (81*2π)/4365 weeks
82104.4031 8.09609 (82*2π)/4365 weeks
83108.9993 14.84374 (83*2π)/4365 weeks
84114.2114 19.86168 (84*2π)/4365 weeks
85117.3796 21.82972 (85*2π)/4365 weeks
86127.181 26.74974 (86*2π)/4365 weeks
87132.0553 39.36653 (87*2π)/4365 weeks
88130.1815 51.30561 (88*2π)/4365 weeks
89121.7423 58.09126 (89*2π)/4365 weeks
90117.1392 55.0523 (90*2π)/4365 weeks
91121.8853 57.96798 (91*2π)/4365 weeks
92118.3544 67.8435 (92*2π)/4365 weeks
93108.0955 71.04302 (93*2π)/4365 weeks
94102.2718 66.94193 (94*2π)/4365 weeks
95100.997 63.63505 (95*2π)/4365 weeks
96103.7332 61.27275 (96*2π)/4365 weeks
97105.9324 65.56354 (97*2π)/4364 weeks
98102.7975 72.90007 (98*2π)/4364 weeks
9993.20113 75.45488 (99*2π)/4364 weeks
10084.99621 73.67312 (100*2π)/4364 weeks
10177.77932 68.13865 (101*2π)/4364 weeks
10275.85242 59.34431 (102*2π)/4364 weeks
10378.03922 53.72179 (103*2π)/4364 weeks
10482.21593 51.44472 (104*2π)/4364 weeks
10584.54312 54.27526 (105*2π)/4364 weeks
10679.68879 57.34542 (106*2π)/4364 weeks
10774.31874 53.81638 (107*2π)/4364 weeks
10873.79082 52.39611 (108*2π)/4364 weeks
10966.81919 51.79589 (109*2π)/4364 weeks
11059.87138 40.37876 (110*2π)/4364 weeks
11163.44828 29.93123 (111*2π)/4364 weeks
11264.0349 21.75572 (112*2π)/4364 weeks
11373.1955 7.85327 (113*2π)/4364 weeks
11491.23775 6.0234 (114*2π)/4364 weeks
115102.6249 14.16563 (115*2π)/4364 weeks
116108.3039 21.27046 (116*2π)/4364 weeks
117112.8201 30.40511 (117*2π)/4364 weeks
118110.3217 39.49065 (118*2π)/4364 weeks
119109.6414 45.00154 (119*2π)/4364 weeks
120105.263 56.28285 (120*2π)/4364 weeks
12191.72394 60.1305 (121*2π)/4364 weeks
12283.24725 56.20709 (122*2π)/4364 weeks
12377.34251 51.39841 (123*2π)/4364 weeks
12474.97527 44.88218 (124*2π)/4364 weeks
12577.89497 41.51833 (125*2π)/4363 weeks
12676.43654 46.90318 (126*2π)/4363 weeks
12765.6859 45.17279 (127*2π)/4363 weeks
12860.40805 35.65205 (128*2π)/4363 weeks
12960.10626 26.12572 (129*2π)/4363 weeks
13064.67535 18.23837 (130*2π)/4363 weeks
13168.50988 15.82632 (131*2π)/4363 weeks
13271.71086 11.45821 (132*2π)/4363 weeks
13377.10406 9.94317 (133*2π)/4363 weeks
13480.72881 10.62838 (134*2π)/4363 weeks
13581.97721 12.34805 (135*2π)/4363 weeks
13680.74548 10.98888 (136*2π)/4363 weeks
13782.26814 8.2705 (137*2π)/4363 weeks
13885.18764 6.34358 (138*2π)/4363 weeks
13988.11482 5.48482 (139*2π)/4363 weeks
14090.3475 4.98193 (140*2π)/4363 weeks
14192.2177 3.55481 (141*2π)/4363 weeks
14297.09761 1.9506 (142*2π)/4363 weeks
143102.177 3.11838 (143*2π)/4363 weeks
144107.8148 5.96091 (144*2π)/4363 weeks
145111.1843 11.79802 (145*2π)/4363 weeks
146112.4574 16.22857 (146*2π)/4363 weeks
147112.7003 23.5938 (147*2π)/4363 weeks
148108.1121 27.04406 (148*2π)/4363 weeks
149108.4854 29.06152 (149*2π)/4363 weeks
150106.8656 35.716 (150*2π)/4363 weeks
15199.73171 40.4376 (151*2π)/4363 weeks
15293.47494 41.5563 (152*2π)/4363 weeks
15384.50568 42.61223 (153*2π)/4363 weeks
15475.98012 33.44866 (154*2π)/4363 weeks
15580.84441 26.29947 (155*2π)/4363 weeks
15680.84296 30.05501 (156*2π)/4363 weeks
15776.87344 28.45451 (157*2π)/4363 weeks
15874.96545 28.54335 (158*2π)/4363 weeks
15966.56701 28.27516 (159*2π)/4363 weeks
16061.18987 17.03214 (160*2π)/4363 weeks
16164.61763 13.08414 (161*2π)/4363 weeks
16258.01354 10.12794 (162*2π)/4363 weeks
16354.97186 -3.47741 (163*2π)/4363 weeks
16460.29721 -15.60815 (164*2π)/4363 weeks
16568.02599 -24.1294 (165*2π)/4363 weeks
16678.91721 -30.76633 (166*2π)/4363 weeks
16790.20024 -30.55933 (167*2π)/4363 weeks
16895.15372 -29.51375 (168*2π)/4363 weeks
169102.1493 -33.76072 (169*2π)/4363 weeks
170115.849 -34.46493 (170*2π)/4363 weeks
171128.4225 -28.47834 (171*2π)/4363 weeks
172138.9655 -18.68223 (172*2π)/4363 weeks
173144.9787 -4.14655 (173*2π)/4363 weeks
174142.2152 10.38377 (174*2π)/4363 weeks
175135.2668 17.09969 (175*2π)/4362 weeks
176133.6214 18.45109 (176*2π)/4362 weeks
177136.3227 25.76972 (177*2π)/4362 weeks
178131.7738 37.01056 (178*2π)/4362 weeks
179123.7032 41.70024 (179*2π)/4362 weeks
180117.9488 46.98607 (180*2π)/4362 weeks
181107.2649 49.6169 (181*2π)/4362 weeks
182101.2802 46.7659 (182*2π)/4362 weeks
18397.22758 47.63501 (183*2π)/4362 weeks
18489.02505 48.4177 (184*2π)/4362 weeks
18582.30224 45.07269 (185*2π)/4362 weeks
18676.59008 43.45343 (186*2π)/4362 weeks
18767.5467 38.40157 (187*2π)/4362 weeks
18863.9089 28.29356 (188*2π)/4362 weeks
18965.26074 23.68689 (189*2π)/4362 weeks
19058.42844 18.7478 (190*2π)/4362 weeks
19159.44392 6.12597 (191*2π)/4362 weeks
19263.01127 .78753 (192*2π)/4362 weeks
19365.12394 -8.62932 (193*2π)/4362 weeks
19475.75459 -15.24528 (194*2π)/4362 weeks
19583.76941 -13.58437 (195*2π)/4362 weeks
19687.51043 -13.78568 (196*2π)/4362 weeks
19795.06133 -13.61742 (197*2π)/4362 weeks
19898.29307 -8.37143 (198*2π)/4362 weeks
19997.55056 -7.24561 (199*2π)/4362 weeks
200100.7083 -10.00985 (200*2π)/4362 weeks
201107.7764 -9.24437 (201*2π)/4362 weeks
202112.9644 -4.43333 (202*2π)/4362 weeks
203118.796 1.35268 (203*2π)/4362 weeks
204119.0313 12.46268 (204*2π)/4362 weeks
205113.9165 17.17817 (205*2π)/4362 weeks
206114.7089 19.77672 (206*2π)/4362 weeks
207113.9054 28.15191 (207*2π)/4362 weeks
208107.7363 37.20761 (208*2π)/4362 weeks
20995.38828 41.04844 (209*2π)/4362 weeks
21086.7244 37.36463 (210*2π)/4362 weeks
21183.30495 34.16706 (211*2π)/4362 weeks
21282.4029 34.89218 (212*2π)/4362 weeks
21376.1739 40.09575 (213*2π)/4362 weeks
21461.89316 40.49147 (214*2π)/4362 weeks
21548.89588 30.37859 (215*2π)/4362 weeks
21644.10197 17.46997 (216*2π)/4362 weeks
21744.92562 5.37503 (217*2π)/4362 weeks
21848.31781   (218*2π)/4362 weeks
21944.92562 -5.37503 (219*2π)/4362 weeks
22044.10197 -17.46997 (220*2π)/4362 weeks
22148.89588 -30.37859 (221*2π)/4362 weeks
22261.89316 -40.49147 (222*2π)/4362 weeks
22376.1739 -40.09575 (223*2π)/4362 weeks
22482.4029 -34.89218 (224*2π)/4362 weeks
22583.30495 -34.16706 (225*2π)/4362 weeks
22686.7244 -37.36463 (226*2π)/4362 weeks
22795.38828 -41.04844 (227*2π)/4362 weeks
228107.7363 -37.20761 (228*2π)/4362 weeks
229113.9054 -28.15191 (229*2π)/4362 weeks
230114.7089 -19.77672 (230*2π)/4362 weeks
231113.9165 -17.17817 (231*2π)/4362 weeks
232119.0313 -12.46268 (232*2π)/4362 weeks
233118.796 -1.35268 (233*2π)/4362 weeks
234112.9644 4.43333 (234*2π)/4362 weeks
235107.7764 9.24437 (235*2π)/4362 weeks
236100.7083 10.00985 (236*2π)/4362 weeks
23797.55056 7.24561 (237*2π)/4362 weeks
23898.29307 8.37143 (238*2π)/4362 weeks
23995.06133 13.61742 (239*2π)/4362 weeks
24087.51043 13.78568 (240*2π)/4362 weeks
24183.76941 13.58437 (241*2π)/4362 weeks
24275.75459 15.24528 (242*2π)/4362 weeks
24365.12394 8.62932 (243*2π)/4362 weeks
24463.01127 -.78753 (244*2π)/4362 weeks
24559.44392 -6.12597 (245*2π)/4362 weeks
24658.42844 -18.7478 (246*2π)/4362 weeks
24765.26074 -23.68689 (247*2π)/4362 weeks
24863.9089 -28.29356 (248*2π)/4362 weeks
24967.5467 -38.40157 (249*2π)/4362 weeks
25076.59008 -43.45343 (250*2π)/4362 weeks
25182.30224 -45.07269 (251*2π)/4362 weeks
25289.02505 -48.4177 (252*2π)/4362 weeks
25397.22758 -47.63501 (253*2π)/4362 weeks
254101.2802 -46.7659 (254*2π)/4362 weeks
255107.2649 -49.6169 (255*2π)/4362 weeks
256117.9488 -46.98607 (256*2π)/4362 weeks
257123.7032 -41.70024 (257*2π)/4362 weeks
258131.7738 -37.01056 (258*2π)/4362 weeks
259136.3227 -25.76972 (259*2π)/4362 weeks
260133.6214 -18.45109 (260*2π)/4362 weeks
261135.2668 -17.09969 (261*2π)/4362 weeks
262142.2152 -10.38377 (262*2π)/4362 weeks
263144.9787 4.14655 (263*2π)/4362 weeks
264138.9655 18.68223 (264*2π)/4362 weeks
265128.4225 28.47834 (265*2π)/4362 weeks
266115.849 34.46493 (266*2π)/4362 weeks
267102.1493 33.76072 (267*2π)/4362 weeks
26895.15372 29.51375 (268*2π)/4362 weeks
26990.20024 30.55933 (269*2π)/4362 weeks
27078.91721 30.76633 (270*2π)/4362 weeks
27168.02599 24.1294 (271*2π)/4362 weeks
27260.29721 15.60815 (272*2π)/4362 weeks
27354.97186 3.47741 (273*2π)/4362 weeks
27458.01354 -10.12794 (274*2π)/4362 weeks
27564.61763 -13.08414 (275*2π)/4362 weeks
27661.18987 -17.03214 (276*2π)/4362 weeks
27766.56701 -28.27516 (277*2π)/4362 weeks
27874.96545 -28.54335 (278*2π)/4362 weeks
27976.87344 -28.45451 (279*2π)/4362 weeks
28080.84296 -30.05501 (280*2π)/4362 weeks
28180.84441 -26.29947 (281*2π)/4362 weeks
28275.98012 -33.44866 (282*2π)/4362 weeks
28384.50568 -42.61223 (283*2π)/4362 weeks
28493.47494 -41.5563 (284*2π)/4362 weeks
28599.73171 -40.4376 (285*2π)/4362 weeks
286106.8656 -35.716 (286*2π)/4362 weeks
287108.4854 -29.06152 (287*2π)/4362 weeks
288108.1121 -27.04406 (288*2π)/4362 weeks
289112.7003 -23.5938 (289*2π)/4362 weeks
290112.4574 -16.22857 (290*2π)/4362 weeks
291111.1843 -11.79802 (291*2π)/4361 weeks
292107.8148 -5.96091 (292*2π)/4361 weeks
293102.177 -3.11838 (293*2π)/4361 weeks
29497.09761 -1.9506 (294*2π)/4361 weeks
29592.2177 -3.55481 (295*2π)/4361 weeks
29690.3475 -4.98193 (296*2π)/4361 weeks
29788.11482 -5.48482 (297*2π)/4361 weeks
29885.18764 -6.34358 (298*2π)/4361 weeks
29982.26814 -8.2705 (299*2π)/4361 weeks
30080.74548 -10.98888 (300*2π)/4361 weeks
30181.97721 -12.34805 (301*2π)/4361 weeks
30280.72881 -10.62838 (302*2π)/4361 weeks
30377.10406 -9.94317 (303*2π)/4361 weeks
30471.71086 -11.45821 (304*2π)/4361 weeks
30568.50988 -15.82632 (305*2π)/4361 weeks
30664.67535 -18.23837 (306*2π)/4361 weeks
30760.10626 -26.12572 (307*2π)/4361 weeks
30860.40805 -35.65205 (308*2π)/4361 weeks
30965.6859 -45.17279 (309*2π)/4361 weeks
31076.43654 -46.90318 (310*2π)/4361 weeks
31177.89497 -41.51833 (311*2π)/4361 weeks
31274.97527 -44.88218 (312*2π)/4361 weeks
31377.34251 -51.39841 (313*2π)/4361 weeks
31483.24725 -56.20709 (314*2π)/4361 weeks
31591.72394 -60.1305 (315*2π)/4361 weeks
316105.263 -56.28285 (316*2π)/4361 weeks
317109.6414 -45.00154 (317*2π)/4361 weeks
318110.3217 -39.49065 (318*2π)/4361 weeks
319112.8201 -30.40511 (319*2π)/4361 weeks
320108.3039 -21.27046 (320*2π)/4361 weeks
321102.6249 -14.16563 (321*2π)/4361 weeks
32291.23775 -6.0234 (322*2π)/4361 weeks
32373.1955 -7.85327 (323*2π)/4361 weeks
32464.0349 -21.75572 (324*2π)/4361 weeks
32563.44828 -29.93123 (325*2π)/4361 weeks
32659.87138 -40.37876 (326*2π)/4361 weeks
32766.81919 -51.79589 (327*2π)/4361 weeks
32873.79082 -52.39611 (328*2π)/4361 weeks
32974.31874 -53.81638 (329*2π)/4361 weeks
33079.68879 -57.34542 (330*2π)/4361 weeks
33184.54312 -54.27526 (331*2π)/4361 weeks
33282.21593 -51.44472 (332*2π)/4361 weeks
33378.03922 -53.72179 (333*2π)/4361 weeks
33475.85242 -59.34431 (334*2π)/4361 weeks
33577.77932 -68.13865 (335*2π)/4361 weeks
33684.99621 -73.67312 (336*2π)/4361 weeks
33793.20113 -75.45488 (337*2π)/4361 weeks
338102.7975 -72.90007 (338*2π)/4361 weeks
339105.9324 -65.56354 (339*2π)/4361 weeks
340103.7332 -61.27275 (340*2π)/4361 weeks
341100.997 -63.63505 (341*2π)/4361 weeks
342102.2718 -66.94193 (342*2π)/4361 weeks
343108.0955 -71.04302 (343*2π)/4361 weeks
344118.3544 -67.8435 (344*2π)/4361 weeks
345121.8853 -57.96798 (345*2π)/4361 weeks
346117.1392 -55.0523 (346*2π)/4361 weeks
347121.7423 -58.09126 (347*2π)/4361 weeks
348130.1815 -51.30561 (348*2π)/4361 weeks
349132.0553 -39.36653 (349*2π)/4361 weeks
350127.181 -26.74974 (350*2π)/4361 weeks
351117.3796 -21.82972 (351*2π)/4361 weeks
352114.2114 -19.86168 (352*2π)/4361 weeks
353108.9993 -14.84374 (353*2π)/4361 weeks
354104.4031 -8.09609 (354*2π)/4361 weeks
35591.96333 .08412 (355*2π)/4361 weeks
35676.40473 .98844 (356*2π)/4361 weeks
35762.70613 -.96538 (357*2π)/4361 weeks
35849.09507 -5.65772 (358*2π)/4361 weeks
35934.85003 -12.30692 (359*2π)/4361 weeks
36019.82747 -21.67858 (360*2π)/4361 weeks
3611.28882 -38.71566 (361*2π)/4361 weeks
362-6.70387 -68.53896 (362*2π)/4361 weeks
363-.5607 -93.11184 (363*2π)/4361 weeks
3647.03741 -111.0155 (364*2π)/4361 weeks
36515.87929 -128.8821 (365*2π)/4361 weeks
36629.31857 -144.7098 (366*2π)/4361 weeks
36746.62576 -156.3304 (367*2π)/4361 weeks
36866.81931 -163.3257 (368*2π)/4361 weeks
36985.1608 -158.0056 (369*2π)/4361 weeks
37087.82227 -154.7676 (370*2π)/4361 weeks
37197.44441 -163.3029 (371*2π)/4361 weeks
372112.6237 -162.9687 (372*2π)/4361 weeks
373123.9819 -165.0553 (373*2π)/4361 weeks
374147.4236 -159.0858 (374*2π)/4361 weeks
375153.6656 -135.2771 (375*2π)/4361 weeks
376140.2777 -135.8801 (376*2π)/4361 weeks
377155.664 -148.7374 (377*2π)/4361 weeks
378177.0259 -138.2849 (378*2π)/4361 weeks
379188.9191 -126.486 (379*2π)/4361 weeks
380204.9635 -107.2776 (380*2π)/4361 weeks
381206.7976 -73.99538 (381*2π)/4361 weeks
382190.1545 -52.92974 (382*2π)/4361 weeks
383184.2289 -41.03543 (383*2π)/4361 weeks
384168.7531 -16.39206 (384*2π)/4361 weeks
385141.3519 -3.99966 (385*2π)/4361 weeks
386117.7619 -1.30718 (386*2π)/4361 weeks
38786.63876 3.50619 (387*2π)/4361 weeks
38852.1958 -13.03855 (388*2π)/4361 weeks
38933.77546 -33.93888 (389*2π)/4361 weeks
39012.63882 -54.9521 (390*2π)/4361 weeks
391-6.12179 -87.80861 (391*2π)/4361 weeks
392-3.85891 -132.8359 (392*2π)/4361 weeks
39316.26443 -160.2947 (393*2π)/4361 weeks
39428.88655 -172.9937 (394*2π)/4361 weeks
39535.61827 -191.1198 (395*2π)/4361 weeks
39649.14836 -209.8735 (396*2π)/4361 weeks
39762.4413 -229.1349 (397*2π)/4361 weeks
39883.03575 -243.3329 (398*2π)/4361 weeks
399103.9201 -263.3127 (399*2π)/4361 weeks
400139.3698 -273.6 (400*2π)/4361 weeks
401169.0426 -271.2094 (401*2π)/4361 weeks
402204.9901 -270.5327 (402*2π)/4361 weeks
403237.8468 -241.9849 (403*2π)/4361 weeks
404241.8715 -216.5085 (404*2π)/4361 weeks
405251.3643 -211.6017 (405*2π)/4361 weeks
406275.157 -198.8759 (406*2π)/4361 weeks
407293.1622 -169.8234 (407*2π)/4361 weeks
408306.9113 -141.6583 (408*2π)/4361 weeks
409317.1541 -89.57163 (409*2π)/4361 weeks
410286.0446 -34.92163 (410*2π)/4361 weeks
411243.2462 -8.42874 (411*2π)/4361 weeks
412200.9398 13.83607 (412*2π)/4361 weeks
413144.7226 19.3879 (413*2π)/4361 weeks
41495.15551 -3.3642 (414*2π)/4361 weeks
41565.30138 -18.69267 (415*2π)/4361 weeks
41612.97618 -40.45647 (416*2π)/4361 weeks
417-24.42236 -85.45295 (417*2π)/4361 weeks
418-61.24456 -130.0582 (418*2π)/4361 weeks
419-82.91249 -200.266 (419*2π)/4361 weeks
420-80.4989 -271.4348 (420*2π)/4361 weeks
421-55.46858 -321.391 (421*2π)/4361 weeks
422-68.15795 -347.5356 (422*2π)/4361 weeks
423-96.75964 -437.4799 (423*2π)/4361 weeks
424-69.13858 -540.764 (424*2π)/4361 weeks
425-27.834 -641.2792 (425*2π)/4361 weeks
42662.45494 -749.5594 (426*2π)/4361 weeks
427176.5987 -791.4249 (427*2π)/4361 weeks
428221.7524 -840.646 (428*2π)/4361 weeks
429335.7147 -976.939 (429*2π)/4361 weeks
430544.6719 -1,030.068 (430*2π)/4361 weeks
431698.3141 -1,027.236 (431*2π)/4361 weeks
432865.1343 -1,057.585 (432*2π)/4361 weeks
4331,105.316 -1,108.991 (433*2π)/4361 weeks
4341,460.895 -1,106.993 (434*2π)/4361 weeks

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