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Fourier Analysis of DUST (Direxion Daily Gold Miners Bear 3X ETF)


DUST (Direxion Daily Gold Miners Bear 3X ETF) appears to have interesting cyclic behaviour every 39 weeks (138.0591*sine), 26 weeks (98.8065*cosine), and 24 weeks (66.0097*cosine).

DUST (Direxion Daily Gold Miners Bear 3X ETF) has an average price of 833.16 (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 12/8/2010 to 4/16/2018 for DUST (Direxion Daily Gold Miners Bear 3X ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0833.1559   0 
1-471.1373 568.3347 (1*2π)/385385 weeks
286.59939 44.38422 (2*2π)/385193 weeks
3205.8639 129.5569 (3*2π)/385128 weeks
4-192.3391 83.21625 (4*2π)/38596 weeks
559.81093 -.70965 (5*2π)/38577 weeks
6160.4059 142.7886 (6*2π)/38564 weeks
7-127.991 58.0897 (7*2π)/38555 weeks
8-52.07524 62.02595 (8*2π)/38548 weeks
983.45146 -79.39285 (9*2π)/38543 weeks
10-6.34202 138.0591 (10*2π)/38539 weeks
11-8.77571 -22.51823 (11*2π)/38535 weeks
1212.00803 32.49895 (12*2π)/38532 weeks
138.09195 67.16289 (13*2π)/38530 weeks
14-31.16179 -58.88387 (14*2π)/38528 weeks
1598.80647 65.06657 (15*2π)/38526 weeks
16-66.00968 81.37924 (16*2π)/38524 weeks
1758.02615 -51.14952 (17*2π)/38523 weeks
18-55.12919 97.18951 (18*2π)/38521 weeks
1934.88183 7.1976 (19*2π)/38520 weeks
20-34.2428 -2.42341 (20*2π)/38519 weeks
21-5.23282 39.07446 (21*2π)/38518 weeks
2221.96394 -.50063 (22*2π)/38518 weeks
23-16.7527 22.40843 (23*2π)/38517 weeks
24-8.92034 32.70756 (24*2π)/38516 weeks
25-29.60292 -11.49052 (25*2π)/38515 weeks
2619.56767 -16.42404 (26*2π)/38515 weeks
2717.8071 26.22745 (27*2π)/38514 weeks
28-2.42358 4.55807 (28*2π)/38514 weeks
2916.43504 30.10013 (29*2π)/38513 weeks
30-31.72485 16.08523 (30*2π)/38513 weeks
3115.20744 -24.18831 (31*2π)/38512 weeks
3210.76297 49.65266 (32*2π)/38512 weeks
33-30.00194 -4.56616 (33*2π)/38512 weeks
3424.70629 -21.22317 (34*2π)/38511 weeks
35-7.11975 50.14041 (35*2π)/38511 weeks
36-1.8792 -29.13025 (36*2π)/38511 weeks
3730.09678 23.30769 (37*2π)/38510 weeks
38-20.65564 36.53953 (38*2π)/38510 weeks
39-26.23597 -7.93873 (39*2π)/38510 weeks
4033.42209 -11.77608 (40*2π)/38510 weeks
41-30.16207 16.63993 (41*2π)/3859 weeks
4213.53538 3.23036 (42*2π)/3859 weeks
4311.92059 -8.10279 (43*2π)/3859 weeks
44-11.85567 10.53837 (44*2π)/3859 weeks
452.41142 15.90274 (45*2π)/3859 weeks
4616.80309 -25.36791 (46*2π)/3858 weeks
47.96259 27.10789 (47*2π)/3858 weeks
48-12.47212 17.79947 (48*2π)/3858 weeks
4916.46912 -22.82625 (49*2π)/3858 weeks
50-25.28511 19.29868 (50*2π)/3858 weeks
5121.73265 -10.97265 (51*2π)/3858 weeks
522.78624 -7.69819 (52*2π)/3857 weeks
536.98335 18.76787 (53*2π)/3857 weeks
545.02733 -8.29102 (54*2π)/3857 weeks
5512.41531 .5687 (55*2π)/3857 weeks
565.3594 12.02737 (56*2π)/3857 weeks
5722.54403 2.5822 (57*2π)/3857 weeks
58-5.46745 20.89498 (58*2π)/3857 weeks
591.07494 19.76451 (59*2π)/3857 weeks
60-1.65063 -16.62819 (60*2π)/3856 weeks
61-1.45166 25.92973 (61*2π)/3856 weeks
623.06684 -6.1047 (62*2π)/3856 weeks
632.95076 -3.55048 (63*2π)/3856 weeks
647.78748 21.68023 (64*2π)/3856 weeks
65-17.75582 .4562 (65*2π)/3856 weeks
6616.11251 -15.80758 (66*2π)/3856 weeks
673.08465 17.58247 (67*2π)/3856 weeks
68-2.39795 -2.24391 (68*2π)/3856 weeks
6911.86893 -5.84567 (69*2π)/3856 weeks
7014.1896 20.9028 (70*2π)/3856 weeks
71-24.93356 .7647 (71*2π)/3855 weeks
7228.81603 -10.70402 (72*2π)/3855 weeks
7310.39613 23.7985 (73*2π)/3855 weeks
74-24.41324 6.18265 (74*2π)/3855 weeks
7514.76878 -6.28805 (75*2π)/3855 weeks
7610.29752 12.35639 (76*2π)/3855 weeks
77-22.60645 -6.16222 (77*2π)/3855 weeks
7833.25789 6.16943 (78*2π)/3855 weeks
79-7.67968 8.17326 (79*2π)/3855 weeks
80-11.67538 2.88497 (80*2π)/3855 weeks
8117.69717 -3.58268 (81*2π)/3855 weeks
82-.32411 8.75658 (82*2π)/3855 weeks
83.9124 -5.07844 (83*2π)/3855 weeks
849.13678 12.31173 (84*2π)/3855 weeks
852.16129 -1.45797 (85*2π)/3855 weeks
86-3.6809 4.08339 (86*2π)/3854 weeks
8717.36799 -.38326 (87*2π)/3854 weeks
88-3.84764 9.54939 (88*2π)/3854 weeks
8914.69733 12.57916 (89*2π)/3854 weeks
90-20.32981 -3.20527 (90*2π)/3854 weeks
9117.06406 3.08615 (91*2π)/3854 weeks
92-.56238 7.64794 (92*2π)/3854 weeks
933.51096 -9.45342 (93*2π)/3854 weeks
9414.22272 16.78114 (94*2π)/3854 weeks
95-2.39877 20.46885 (95*2π)/3854 weeks
96-13.34348 -12.74025 (96*2π)/3854 weeks
977.42206 16.78048 (97*2π)/3854 weeks
98-5.82556 -4.02711 (98*2π)/3854 weeks
99-4.73294 -5.61509 (99*2π)/3854 weeks
10013.01943 -1.2461 (100*2π)/3854 weeks
1012.01615 10.8031 (101*2π)/3854 weeks
102-1.19286 -9.51071 (102*2π)/3854 weeks
1039.21897 10.60822 (103*2π)/3854 weeks
1044.03276 4.6397 (104*2π)/3854 weeks
105-9.20363 -3.4403 (105*2π)/3854 weeks
10618.73658 5.48324 (106*2π)/3854 weeks
107-8.21662 3.42988 (107*2π)/3854 weeks
1085.87047 6.55908 (108*2π)/3854 weeks
109-.29291 -3.64769 (109*2π)/3854 weeks
1103.54139 10.76986 (110*2π)/3854 weeks
111-4.75908 -7.40761 (111*2π)/3853 weeks
11216.37332 7.41732 (112*2π)/3853 weeks
113-14.79554 5.14072 (113*2π)/3853 weeks
11411.47552 -7.98218 (114*2π)/3853 weeks
1155.31381 12.4541 (115*2π)/3853 weeks
116-8.94174 -1.29285 (116*2π)/3853 weeks
1179.53645 -.0053 (117*2π)/3853 weeks
118-2.094 4.30596 (118*2π)/3853 weeks
1193.30311 -4.65992 (119*2π)/3853 weeks
1207.15458 10.80311 (120*2π)/3853 weeks
121-4.33148 -4.59475 (121*2π)/3853 weeks
1223.6766 6.57277 (122*2π)/3853 weeks
1233.0857 -2.42088 (123*2π)/3853 weeks
124-4.1349 .52234 (124*2π)/3853 weeks
12516.00004 1.50506 (125*2π)/3853 weeks
126-8.03565 5.96575 (126*2π)/3853 weeks
1274.17815 -1.96226 (127*2π)/3853 weeks
1285.79376 3.44125 (128*2π)/3853 weeks
129.15595 2.78527 (129*2π)/3853 weeks
1301.40464 -.76286 (130*2π)/3853 weeks
1314.99756 9.75793 (131*2π)/3853 weeks
132-4.20252 -4.99459 (132*2π)/3853 weeks
1333.21478 .55157 (133*2π)/3853 weeks
1346.754 5.71315 (134*2π)/3853 weeks
135-2.57407 1.13673 (135*2π)/3853 weeks
136-1.44234 -.13753 (136*2π)/3853 weeks
1372.29468 1.75581 (137*2π)/3853 weeks
1383.52928 -6.63251 (138*2π)/3853 weeks
1394.49327 2.29498 (139*2π)/3853 weeks
1406.3721 5.44679 (140*2π)/3853 weeks
141-.23498 3.09839 (141*2π)/3853 weeks
142-2.65942 -.53087 (142*2π)/3853 weeks
1431.72967 3.89011 (143*2π)/3853 weeks
1443.80609 -9.06839 (144*2π)/3853 weeks
1452.56379 .27567 (145*2π)/3853 weeks
1469.39028 12.4376 (146*2π)/3853 weeks
147-4.11977 -9.86783 (147*2π)/3853 weeks
1487.16621 7.62893 (148*2π)/3853 weeks
149.09504 6.34793 (149*2π)/3853 weeks
150-.70168 -3.64256 (150*2π)/3853 weeks
151-2.29432 1.67276 (151*2π)/3853 weeks
1526.25897 -1.11004 (152*2π)/3853 weeks
1534.15718 .17004 (153*2π)/3853 weeks
154-2.22262 7.01707 (154*2π)/3853 weeks
1552.06331 -3.54025 (155*2π)/3852 weeks
156-.55262 4.64097 (156*2π)/3852 weeks
157-1.34248 -6.35376 (157*2π)/3852 weeks
1586.62246 5.17994 (158*2π)/3852 weeks
159-8.02527 -3.5319 (159*2π)/3852 weeks
1608.91077 -6.4812 (160*2π)/3852 weeks
1614.10272 5.09438 (161*2π)/3852 weeks
162-6.5266 -1.36522 (162*2π)/3852 weeks
16316.86284 -7.91657 (163*2π)/3852 weeks
164-5.68027 11.62413 (164*2π)/3852 weeks
165.32241 -5.40505 (165*2π)/3852 weeks
1665.49452 -4.85541 (166*2π)/3852 weeks
1673.9176 1.20773 (167*2π)/3852 weeks
1681.07345 -.59767 (168*2π)/3852 weeks
16910.39886 -1.62236 (169*2π)/3852 weeks
170.83766 .85037 (170*2π)/3852 weeks
171-.23711 8.34629 (171*2π)/3852 weeks
1726.71765 -14.73942 (172*2π)/3852 weeks
1737.0938 12.21164 (173*2π)/3852 weeks
174-1.04138 -1.57068 (174*2π)/3852 weeks
1757.43516 -1.17253 (175*2π)/3852 weeks
1762.20929 10.26198 (176*2π)/3852 weeks
177-10.57323 -2.52346 (177*2π)/3852 weeks
17811.71942 -11.15896 (178*2π)/3852 weeks
1794.49606 8.16128 (179*2π)/3852 weeks
1803.52995 -1.81781 (180*2π)/3852 weeks
181.60425 5.03504 (181*2π)/3852 weeks
1827.65712 .54577 (182*2π)/3852 weeks
183-11.09996 1.25749 (183*2π)/3852 weeks
18413.39911 -4.91802 (184*2π)/3852 weeks
185-1.89541 5.34329 (185*2π)/3852 weeks
186-1.6282 -1.82625 (186*2π)/3852 weeks
1875.08154 -7.84234 (187*2π)/3852 weeks
1888.54093 10.68747 (188*2π)/3852 weeks
189-4.1263 -11.36721 (189*2π)/3852 weeks
19010.39015 11.15624 (190*2π)/3852 weeks
191-2.22216 -3.49343 (191*2π)/3852 weeks
1922.07903 2.66653 (192*2π)/3852 weeks
1932.07903 -2.66653 (193*2π)/3852 weeks
194-2.22216 3.49343 (194*2π)/3852 weeks
19510.39015 -11.15624 (195*2π)/3852 weeks
196-4.1263 11.36721 (196*2π)/3852 weeks
1978.54093 -10.68747 (197*2π)/3852 weeks
1985.08154 7.84234 (198*2π)/3852 weeks
199-1.6282 1.82625 (199*2π)/3852 weeks
200-1.89541 -5.34329 (200*2π)/3852 weeks
20113.39911 4.91802 (201*2π)/3852 weeks
202-11.09996 -1.25749 (202*2π)/3852 weeks
2037.65712 -.54577 (203*2π)/3852 weeks
204.60425 -5.03504 (204*2π)/3852 weeks
2053.52995 1.81781 (205*2π)/3852 weeks
2064.49606 -8.16128 (206*2π)/3852 weeks
20711.71942 11.15896 (207*2π)/3852 weeks
208-10.57323 2.52346 (208*2π)/3852 weeks
2092.20929 -10.26198 (209*2π)/3852 weeks
2107.43516 1.17253 (210*2π)/3852 weeks
211-1.04138 1.57068 (211*2π)/3852 weeks
2127.0938 -12.21164 (212*2π)/3852 weeks
2136.71765 14.73942 (213*2π)/3852 weeks
214-.23711 -8.34629 (214*2π)/3852 weeks
215.83766 -.85037 (215*2π)/3852 weeks
21610.39886 1.62236 (216*2π)/3852 weeks
2171.07345 .59767 (217*2π)/3852 weeks
2183.9176 -1.20773 (218*2π)/3852 weeks
2195.49452 4.85541 (219*2π)/3852 weeks
220.32241 5.40505 (220*2π)/3852 weeks
221-5.68027 -11.62413 (221*2π)/3852 weeks
22216.86284 7.91657 (222*2π)/3852 weeks
223-6.5266 1.36522 (223*2π)/3852 weeks
2244.10272 -5.09438 (224*2π)/3852 weeks
2258.91077 6.4812 (225*2π)/3852 weeks
226-8.02527 3.5319 (226*2π)/3852 weeks
2276.62246 -5.17994 (227*2π)/3852 weeks
228-1.34248 6.35376 (228*2π)/3852 weeks
229-.55262 -4.64097 (229*2π)/3852 weeks
2302.06331 3.54025 (230*2π)/3852 weeks
231-2.22262 -7.01707 (231*2π)/3852 weeks
2324.15718 -.17004 (232*2π)/3852 weeks
2336.25897 1.11004 (233*2π)/3852 weeks
234-2.29432 -1.67276 (234*2π)/3852 weeks
235-.70168 3.64256 (235*2π)/3852 weeks
236.09504 -6.34793 (236*2π)/3852 weeks
2377.16621 -7.62893 (237*2π)/3852 weeks
238-4.11977 9.86783 (238*2π)/3852 weeks
2399.39028 -12.4376 (239*2π)/3852 weeks
2402.56379 -.27567 (240*2π)/3852 weeks
2413.80609 9.06839 (241*2π)/3852 weeks
2421.72967 -3.89011 (242*2π)/3852 weeks
243-2.65942 .53087 (243*2π)/3852 weeks
244-.23498 -3.09839 (244*2π)/3852 weeks
2456.3721 -5.44679 (245*2π)/3852 weeks
2464.49327 -2.29498 (246*2π)/3852 weeks
2473.52928 6.63251 (247*2π)/3852 weeks
2482.29468 -1.75581 (248*2π)/3852 weeks
249-1.44234 .13753 (249*2π)/3852 weeks
250-2.57407 -1.13673 (250*2π)/3852 weeks
2516.754 -5.71315 (251*2π)/3852 weeks
2523.21478 -.55157 (252*2π)/3852 weeks
253-4.20252 4.99459 (253*2π)/3852 weeks
2544.99756 -9.75793 (254*2π)/3852 weeks
2551.40464 .76286 (255*2π)/3852 weeks
256.15595 -2.78527 (256*2π)/3852 weeks
2575.79376 -3.44125 (257*2π)/3851 weeks
2584.17815 1.96226 (258*2π)/3851 weeks
259-8.03565 -5.96575 (259*2π)/3851 weeks
26016.00004 -1.50506 (260*2π)/3851 weeks
261-4.1349 -.52234 (261*2π)/3851 weeks
2623.0857 2.42088 (262*2π)/3851 weeks
2633.6766 -6.57277 (263*2π)/3851 weeks
264-4.33148 4.59475 (264*2π)/3851 weeks
2657.15458 -10.80311 (265*2π)/3851 weeks
2663.30311 4.65992 (266*2π)/3851 weeks
267-2.094 -4.30596 (267*2π)/3851 weeks
2689.53645 .0053 (268*2π)/3851 weeks
269-8.94174 1.29285 (269*2π)/3851 weeks
2705.31381 -12.4541 (270*2π)/3851 weeks
27111.47552 7.98218 (271*2π)/3851 weeks
272-14.79554 -5.14072 (272*2π)/3851 weeks
27316.37332 -7.41732 (273*2π)/3851 weeks
274-4.75908 7.40761 (274*2π)/3851 weeks
2753.54139 -10.76986 (275*2π)/3851 weeks
276-.29291 3.64769 (276*2π)/3851 weeks
2775.87047 -6.55908 (277*2π)/3851 weeks
278-8.21662 -3.42988 (278*2π)/3851 weeks
27918.73658 -5.48324 (279*2π)/3851 weeks
280-9.20363 3.4403 (280*2π)/3851 weeks
2814.03276 -4.6397 (281*2π)/3851 weeks
2829.21897 -10.60822 (282*2π)/3851 weeks
283-1.19286 9.51071 (283*2π)/3851 weeks
2842.01615 -10.8031 (284*2π)/3851 weeks
28513.01943 1.2461 (285*2π)/3851 weeks
286-4.73294 5.61509 (286*2π)/3851 weeks
287-5.82556 4.02711 (287*2π)/3851 weeks
2887.42206 -16.78048 (288*2π)/3851 weeks
289-13.34348 12.74025 (289*2π)/3851 weeks
290-2.39877 -20.46885 (290*2π)/3851 weeks
29114.22272 -16.78114 (291*2π)/3851 weeks
2923.51096 9.45342 (292*2π)/3851 weeks
293-.56238 -7.64794 (293*2π)/3851 weeks
29417.06406 -3.08615 (294*2π)/3851 weeks
295-20.32981 3.20527 (295*2π)/3851 weeks
29614.69733 -12.57916 (296*2π)/3851 weeks
297-3.84764 -9.54939 (297*2π)/3851 weeks
29817.36799 .38326 (298*2π)/3851 weeks
299-3.6809 -4.08339 (299*2π)/3851 weeks
3002.16129 1.45797 (300*2π)/3851 weeks
3019.13678 -12.31173 (301*2π)/3851 weeks
302.9124 5.07844 (302*2π)/3851 weeks
303-.32411 -8.75658 (303*2π)/3851 weeks
30417.69717 3.58268 (304*2π)/3851 weeks
305-11.67538 -2.88497 (305*2π)/3851 weeks
306-7.67968 -8.17326 (306*2π)/3851 weeks
30733.25789 -6.16943 (307*2π)/3851 weeks
308-22.60645 6.16222 (308*2π)/3851 weeks
30910.29752 -12.35639 (309*2π)/3851 weeks
31014.76878 6.28805 (310*2π)/3851 weeks
311-24.41324 -6.18265 (311*2π)/3851 weeks
31210.39613 -23.7985 (312*2π)/3851 weeks
31328.81603 10.70402 (313*2π)/3851 weeks
314-24.93356 -.7647 (314*2π)/3851 weeks
31514.1896 -20.9028 (315*2π)/3851 weeks
31611.86893 5.84567 (316*2π)/3851 weeks
317-2.39795 2.24391 (317*2π)/3851 weeks
3183.08465 -17.58247 (318*2π)/3851 weeks
31916.11251 15.80758 (319*2π)/3851 weeks
320-17.75582 -.4562 (320*2π)/3851 weeks
3217.78748 -21.68023 (321*2π)/3851 weeks
3222.95076 3.55048 (322*2π)/3851 weeks
3233.06684 6.1047 (323*2π)/3851 weeks
324-1.45166 -25.92973 (324*2π)/3851 weeks
325-1.65063 16.62819 (325*2π)/3851 weeks
3261.07494 -19.76451 (326*2π)/3851 weeks
327-5.46745 -20.89498 (327*2π)/3851 weeks
32822.54403 -2.5822 (328*2π)/3851 weeks
3295.3594 -12.02737 (329*2π)/3851 weeks
33012.41531 -.5687 (330*2π)/3851 weeks
3315.02733 8.29102 (331*2π)/3851 weeks
3326.98335 -18.76787 (332*2π)/3851 weeks
3332.78624 7.69819 (333*2π)/3851 weeks
33421.73265 10.97265 (334*2π)/3851 weeks
335-25.28511 -19.29868 (335*2π)/3851 weeks
33616.46912 22.82625 (336*2π)/3851 weeks
337-12.47212 -17.79947 (337*2π)/3851 weeks
338.96259 -27.10789 (338*2π)/3851 weeks
33916.80309 25.36791 (339*2π)/3851 weeks
3402.41142 -15.90274 (340*2π)/3851 weeks
341-11.85567 -10.53837 (341*2π)/3851 weeks
34211.92059 8.10279 (342*2π)/3851 weeks
34313.53538 -3.23036 (343*2π)/3851 weeks
344-30.16207 -16.63993 (344*2π)/3851 weeks
34533.42209 11.77608 (345*2π)/3851 weeks
346-26.23597 7.93873 (346*2π)/3851 weeks
347-20.65564 -36.53953 (347*2π)/3851 weeks
34830.09678 -23.30769 (348*2π)/3851 weeks
349-1.8792 29.13025 (349*2π)/3851 weeks
350-7.11975 -50.14041 (350*2π)/3851 weeks
35124.70629 21.22317 (351*2π)/3851 weeks
352-30.00194 4.56616 (352*2π)/3851 weeks
35310.76297 -49.65266 (353*2π)/3851 weeks
35415.20744 24.18831 (354*2π)/3851 weeks
355-31.72485 -16.08523 (355*2π)/3851 weeks
35616.43504 -30.10013 (356*2π)/3851 weeks
357-2.42358 -4.55807 (357*2π)/3851 weeks
35817.8071 -26.22745 (358*2π)/3851 weeks
35919.56767 16.42404 (359*2π)/3851 weeks
360-29.60292 11.49052 (360*2π)/3851 weeks
361-8.92034 -32.70756 (361*2π)/3851 weeks
362-16.7527 -22.40843 (362*2π)/3851 weeks
36321.96394 .50063 (363*2π)/3851 weeks
364-5.23282 -39.07446 (364*2π)/3851 weeks
365-34.2428 2.42341 (365*2π)/3851 weeks
36634.88183 -7.1976 (366*2π)/3851 weeks
367-55.12919 -97.18951 (367*2π)/3851 weeks
36858.02615 51.14952 (368*2π)/3851 weeks
369-66.00968 -81.37924 (369*2π)/3851 weeks
37098.80647 -65.06657 (370*2π)/3851 weeks
371-31.16179 58.88387 (371*2π)/3851 weeks
3728.09195 -67.16289 (372*2π)/3851 weeks
37312.00803 -32.49895 (373*2π)/3851 weeks
374-8.77571 22.51823 (374*2π)/3851 weeks
375-6.34202 -138.0591 (375*2π)/3851 weeks
37683.45146 79.39285 (376*2π)/3851 weeks
377-52.07524 -62.02595 (377*2π)/3851 weeks
378-127.991 -58.0897 (378*2π)/3851 weeks
379160.4059 -142.7886 (379*2π)/3851 weeks
38059.81093 .70965 (380*2π)/3851 weeks
381-192.3391 -83.21625 (381*2π)/3851 weeks
382205.8639 -129.5569 (382*2π)/3851 weeks
38386.59939 -44.38422 (383*2π)/3851 weeks



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