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Fourier Analysis of FAZ (Direxion Daily Financial Bear 3x Shares ETF)


FAZ (Direxion Daily Financial Bear 3x Shares ETF) appears to have interesting cyclic behaviour every 46 weeks (2337.46*sine), 42 weeks (2203.566*sine), and 14 weeks (969.5046*cosine).

FAZ (Direxion Daily Financial Bear 3x Shares ETF) has an average price of 2,385.26 (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 9/5/2017 for FAZ (Direxion Daily Financial Bear 3x Shares ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
02,385.255   0 
14,063.961 1,041.046 (1*2π)/460460 weeks
23,612.438 1,253.944 (2*2π)/460230 weeks
33,374.614 1,584.857 (3*2π)/460153 weeks
43,016.825 1,885.117 (4*2π)/460115 weeks
52,672.206 2,079.054 (5*2π)/46092 weeks
62,342.002 2,260.889 (6*2π)/46077 weeks
71,928.19 2,406.843 (7*2π)/46066 weeks
81,519.93 2,390.984 (8*2π)/46058 weeks
91,225.367 2,354.262 (9*2π)/46051 weeks
10888.1476 2,337.46 (10*2π)/46046 weeks
11542.9164 2,203.566 (11*2π)/46042 weeks
12290.0143 2,017.998 (12*2π)/46038 weeks
1370.48988 1,837.58 (13*2π)/46035 weeks
14-113.7232 1,612.417 (14*2π)/46033 weeks
15-229.0179 1,392.044 (15*2π)/46031 weeks
16-330.0815 1,179.336 (16*2π)/46029 weeks
17-396.2573 946.4566 (17*2π)/46027 weeks
18-418.7063 711.8376 (18*2π)/46026 weeks
19-395.8497 481.0653 (19*2π)/46024 weeks
20-327.8437 276.5634 (20*2π)/46023 weeks
21-225.1466 87.92883 (21*2π)/46022 weeks
22-78.35679 -49.72452 (22*2π)/46021 weeks
2353.12059 -140.8077 (23*2π)/46020 weeks
24197.1213 -224.3521 (24*2π)/46019 weeks
25362.1099 -262.0577 (25*2π)/46018 weeks
26513.5831 -255.0768 (26*2π)/46018 weeks
27652.1425 -228.0871 (27*2π)/46017 weeks
28783.0449 -162.4296 (28*2π)/46016 weeks
29872.6685 -62.46278 (29*2π)/46016 weeks
30926.2834 33.68712 (30*2π)/46015 weeks
31963.1823 133.8613 (31*2π)/46015 weeks
32969.5046 235.3492 (32*2π)/46014 weeks
33954.2842 323.4448 (33*2π)/46014 weeks
34934.8342 400.8694 (34*2π)/46014 weeks
35898.154 490.8216 (35*2π)/46013 weeks
36823.7668 559.4017 (36*2π)/46013 weeks
37753.7275 595.3171 (37*2π)/46012 weeks
38679.4363 630.8699 (38*2π)/46012 weeks
39592.668 641.5898 (39*2π)/46012 weeks
40519.9455 631.6779 (40*2π)/46012 weeks
41444.9402 621.2678 (41*2π)/46011 weeks
42371.7229 589.1863 (42*2π)/46011 weeks
43307.2298 545.722 (43*2π)/46011 weeks
44250.9643 488.7119 (44*2π)/46010 weeks
45206.7618 420.2358 (45*2π)/46010 weeks
46177.7169 345.4729 (46*2π)/46010 weeks
47162.0939 261.2679 (47*2π)/46010 weeks
48174.068 173.7377 (48*2π)/46010 weeks
49205.8862 97.33592 (49*2π)/4609 weeks
50248.4303 34.30452 (50*2π)/4609 weeks
51301.9163 -24.94038 (51*2π)/4609 weeks
52375.8419 -64.39909 (52*2π)/4609 weeks
53442.9653 -79.98772 (53*2π)/4609 weeks
54513.384 -93.60648 (54*2π)/4609 weeks
55593.9092 -84.2067 (55*2π)/4608 weeks
56658.0693 -47.68152 (56*2π)/4608 weeks
57708.1109 -15.29208 (57*2π)/4608 weeks
58762.6947 31.79943 (58*2π)/4608 weeks
59796.7759 96.84636 (59*2π)/4608 weeks
60812.0045 157.2892 (60*2π)/4608 weeks
61824.0126 217.4096 (61*2π)/4608 weeks
62818.6761 287.9118 (62*2π)/4607 weeks
63794.2172 342.5807 (63*2π)/4607 weeks
64780.0141 388.9672 (64*2π)/4607 weeks
65755.2166 456.6958 (65*2π)/4607 weeks
66696.5567 512.4033 (66*2π)/4607 weeks
67637.3705 542.45 (67*2π)/4607 weeks
68576.621 571.7627 (68*2π)/4607 weeks
69504.2947 582.7287 (69*2π)/4607 weeks
70444.1811 579.0438 (70*2π)/4607 weeks
71379.9559 579.1501 (71*2π)/4606 weeks
72306.9641 557.9747 (72*2π)/4606 weeks
73248.5197 520.6293 (73*2π)/4606 weeks
74196.5052 479.0087 (74*2π)/4606 weeks
75151.414 428.2744 (75*2π)/4606 weeks
76117.2162 370.5767 (76*2π)/4606 weeks
7793.85641 309.3452 (77*2π)/4606 weeks
7879.5723 243.9049 (78*2π)/4606 weeks
7982.77013 174.4257 (79*2π)/4606 weeks
80101.6908 117.2079 (80*2π)/4606 weeks
81120.0659 66.65307 (81*2π)/4606 weeks
82148.9307 17.10822 (82*2π)/4606 weeks
83184.9833 -21.64801 (83*2π)/4606 weeks
84222.1289 -53.68226 (84*2π)/4605 weeks
85265.3945 -80.45361 (85*2π)/4605 weeks
86309.8246 -95.93256 (86*2π)/4605 weeks
87352.4381 -103.8853 (87*2π)/4605 weeks
88395.7816 -106.8577 (88*2π)/4605 weeks
89435.8323 -98.70651 (89*2π)/4605 weeks
90471.6236 -90.44112 (90*2π)/4605 weeks
91509.5606 -73.75999 (91*2π)/4605 weeks
92538.1508 -47.85348 (92*2π)/4605 weeks
93559.1558 -20.23983 (93*2π)/4605 weeks
94572.7272 7.84721 (94*2π)/4605 weeks
95582.0219 32.43863 (95*2π)/4605 weeks
96591.8423 60.29276 (96*2π)/4605 weeks
97591.7853 92.51169 (97*2π)/4605 weeks
98581.7625 119.7156 (98*2π)/4605 weeks
99570.73 138.5747 (99*2π)/4605 weeks
100560.7003 157.2439 (100*2π)/4605 weeks
101545.2919 174.5074 (101*2π)/4605 weeks
102526.3736 187.7384 (102*2π)/4605 weeks
103507.2857 196.1574 (103*2π)/4604 weeks
104485.0613 201.2469 (104*2π)/4604 weeks
105464.3127 199.1556 (105*2π)/4604 weeks
106443.5943 193.8847 (106*2π)/4604 weeks
107424.6059 180.6257 (107*2π)/4604 weeks
108413.5859 162.8331 (108*2π)/4604 weeks
109410.0769 145.2052 (109*2π)/4604 weeks
110411.4299 131.3548 (110*2π)/4604 weeks
111412.9875 120.1996 (111*2π)/4604 weeks
112415.2874 106.5668 (112*2π)/4604 weeks
113424.5235 92.72272 (113*2π)/4604 weeks
114439.2369 87.3538 (114*2π)/4604 weeks
115448.8593 86.58569 (115*2π)/4604 weeks
116459.0462 82.91705 (116*2π)/4604 weeks
117474.042 83.90022 (117*2π)/4604 weeks
118485.073 90.01202 (118*2π)/4604 weeks
119499.2329 93.88466 (119*2π)/4604 weeks
120517.3564 109.5792 (120*2π)/4604 weeks
121525.1747 134.4164 (121*2π)/4604 weeks
122523.0667 156.5142 (122*2π)/4604 weeks
123519.3318 177.963 (123*2π)/4604 weeks
124508.396 201.9978 (124*2π)/4604 weeks
125490.9487 219.1601 (125*2π)/4604 weeks
126474.1678 235.4162 (126*2π)/4604 weeks
127448.7197 252.1009 (127*2π)/4604 weeks
128417.4187 258.172 (128*2π)/4604 weeks
129388.2177 257.6339 (129*2π)/4604 weeks
130358.1009 252.2909 (130*2π)/4604 weeks
131330.0121 239.5546 (131*2π)/4604 weeks
132306.4214 223.1512 (132*2π)/4603 weeks
133281.8798 206.2084 (133*2π)/4603 weeks
134257.5813 177.5709 (134*2π)/4603 weeks
135245.4563 143.3091 (135*2π)/4603 weeks
136240.9919 110.8915 (136*2π)/4603 weeks
137241.7321 78.87104 (137*2π)/4603 weeks
138247.0997 49.21654 (138*2π)/4603 weeks
139257.6248 18.13263 (139*2π)/4603 weeks
140276.1077 -7.63262 (140*2π)/4603 weeks
141296.5203 -28.67747 (141*2π)/4603 weeks
142320.6779 -45.64305 (142*2π)/4603 weeks
143345.9449 -56.25269 (143*2π)/4603 weeks
144371.3621 -62.04114 (144*2π)/4603 weeks
145393.9706 -64.61165 (145*2π)/4603 weeks
146419.5996 -65.75057 (146*2π)/4603 weeks
147444.0485 -59.05556 (147*2π)/4603 weeks
148465.222 -51.60856 (148*2π)/4603 weeks
149488.7056 -40.25588 (149*2π)/4603 weeks
150507.8683 -20.9104 (150*2π)/4603 weeks
151520.61 -1.49724 (151*2π)/4603 weeks
152533.7118 19.90969 (152*2π)/4603 weeks
153540.288 47.78554 (153*2π)/4603 weeks
154539.4815 73.18864 (154*2π)/4603 weeks
155535.278 99.91242 (155*2π)/4603 weeks
156522.4043 124.8691 (156*2π)/4603 weeks
157507.145 144.4167 (157*2π)/4603 weeks
158489.0291 164.425 (158*2π)/4603 weeks
159461.3131 180.5407 (159*2π)/4603 weeks
160432.2295 185.1882 (160*2π)/4603 weeks
161404.9392 187.1415 (161*2π)/4603 weeks
162372.2205 180.9948 (162*2π)/4603 weeks
163348.0726 162.7068 (163*2π)/4603 weeks
164332.1723 149.0878 (164*2π)/4603 weeks
165310.1903 132.9363 (165*2π)/4603 weeks
166294.1276 107.5172 (166*2π)/4603 weeks
167284.3157 83.45232 (167*2π)/4603 weeks
168272.1418 56.10837 (168*2π)/4603 weeks
169270.7111 17.60002 (169*2π)/4603 weeks
170282.9073 -12.57303 (170*2π)/4603 weeks
171291.4873 -39.75119 (171*2π)/4603 weeks
172308.5397 -74.01836 (172*2π)/4603 weeks
173339.3858 -101.9717 (173*2π)/4603 weeks
174373.9457 -118.7761 (174*2π)/4603 weeks
175410.8492 -130.7413 (175*2π)/4603 weeks
176452.5668 -133.3935 (176*2π)/4603 weeks
177491.8593 -124.5871 (177*2π)/4603 weeks
178527.0442 -111.7398 (178*2π)/4603 weeks
179564.7947 -93.05198 (179*2π)/4603 weeks
180598.1838 -60.39543 (180*2π)/4603 weeks
181621.2986 -21.97826 (181*2π)/4603 weeks
182636.9391 20.50965 (182*2π)/4603 weeks
183642.1074 66.96146 (183*2π)/4603 weeks
184635.5653 112.6263 (184*2π)/4603 weeks
185620.1786 152.9538 (185*2π)/4602 weeks
186601.629 188.948 (186*2π)/4602 weeks
187576.0022 226.4051 (187*2π)/4602 weeks
188538.0279 256.7319 (188*2π)/4602 weeks
189498.0695 274.248 (189*2π)/4602 weeks
190458.2768 289.2875 (190*2π)/4602 weeks
191410.8512 295.5156 (191*2π)/4602 weeks
192367.368 289.0904 (192*2π)/4602 weeks
193326.1887 279.8957 (193*2π)/4602 weeks
194283.2898 261.2388 (194*2π)/4602 weeks
195248.8485 233.2299 (195*2π)/4602 weeks
196220.0893 203.9722 (196*2π)/4602 weeks
197192.6916 169.7016 (197*2π)/4602 weeks
198171.7854 126.7204 (198*2π)/4602 weeks
199164.4825 80.2484 (199*2π)/4602 weeks
200163.0344 39.25721 (200*2π)/4602 weeks
201167.3265 -8.26904 (201*2π)/4602 weeks
202186.1414 -49.99743 (202*2π)/4602 weeks
203206.0936 -86.77489 (203*2π)/4602 weeks
204236.7706 -124.3673 (204*2π)/4602 weeks
205277.1558 -149.3167 (205*2π)/4602 weeks
206316.011 -164.3044 (206*2π)/4602 weeks
207356.8497 -176.1428 (207*2π)/4602 weeks
208404.2931 -177.1569 (208*2π)/4602 weeks
209446.1257 -165.3706 (209*2π)/4602 weeks
210482.1736 -149.4325 (210*2π)/4602 weeks
211518.1674 -128.5105 (211*2π)/4602 weeks
212550.1517 -98.58756 (212*2π)/4602 weeks
213574.7595 -61.44067 (213*2π)/4602 weeks
214593.4 -19.54287 (214*2π)/4602 weeks
215599.1066 30.52048 (215*2π)/4602 weeks
216589.6057 74.96899 (216*2π)/4602 weeks
217577.4854 113.7077 (217*2π)/4602 weeks
218558.6357 155.6966 (218*2π)/4602 weeks
219527.4872 193.979 (219*2π)/4602 weeks
220486.2581 224.3559 (220*2π)/4602 weeks
221439.893 242.062 (221*2π)/4602 weeks
222391.5002 250.5964 (222*2π)/4602 weeks
223342.8306 247.7966 (223*2π)/4602 weeks
224298.0696 239.1655 (224*2π)/4602 weeks
225249.5369 223.5462 (225*2π)/4602 weeks
226202.9267 191.8853 (226*2π)/4602 weeks
227167.8868 150.2722 (227*2π)/4602 weeks
228140.939 104.5327 (228*2π)/4602 weeks
229125.2965 51.21991 (229*2π)/4602 weeks
230122.6358   (230*2π)/4602 weeks
231125.2965 -51.21991 (231*2π)/4602 weeks
232140.939 -104.5327 (232*2π)/4602 weeks
233167.8868 -150.2722 (233*2π)/4602 weeks
234202.9267 -191.8853 (234*2π)/4602 weeks
235249.5369 -223.5462 (235*2π)/4602 weeks
236298.0696 -239.1655 (236*2π)/4602 weeks
237342.8306 -247.7966 (237*2π)/4602 weeks
238391.5002 -250.5964 (238*2π)/4602 weeks
239439.893 -242.062 (239*2π)/4602 weeks
240486.2581 -224.3559 (240*2π)/4602 weeks
241527.4872 -193.979 (241*2π)/4602 weeks
242558.6357 -155.6966 (242*2π)/4602 weeks
243577.4854 -113.7077 (243*2π)/4602 weeks
244589.6057 -74.96899 (244*2π)/4602 weeks
245599.1066 -30.52048 (245*2π)/4602 weeks
246593.4 19.54287 (246*2π)/4602 weeks
247574.7595 61.44067 (247*2π)/4602 weeks
248550.1517 98.58756 (248*2π)/4602 weeks
249518.1674 128.5105 (249*2π)/4602 weeks
250482.1736 149.4325 (250*2π)/4602 weeks
251446.1257 165.3706 (251*2π)/4602 weeks
252404.2931 177.1569 (252*2π)/4602 weeks
253356.8497 176.1428 (253*2π)/4602 weeks
254316.011 164.3044 (254*2π)/4602 weeks
255277.1558 149.3167 (255*2π)/4602 weeks
256236.7706 124.3673 (256*2π)/4602 weeks
257206.0936 86.77489 (257*2π)/4602 weeks
258186.1414 49.99743 (258*2π)/4602 weeks
259167.3265 8.26904 (259*2π)/4602 weeks
260163.0344 -39.25721 (260*2π)/4602 weeks
261164.4825 -80.2484 (261*2π)/4602 weeks
262171.7854 -126.7204 (262*2π)/4602 weeks
263192.6916 -169.7016 (263*2π)/4602 weeks
264220.0893 -203.9722 (264*2π)/4602 weeks
265248.8485 -233.2299 (265*2π)/4602 weeks
266283.2898 -261.2388 (266*2π)/4602 weeks
267326.1887 -279.8957 (267*2π)/4602 weeks
268367.368 -289.0904 (268*2π)/4602 weeks
269410.8512 -295.5156 (269*2π)/4602 weeks
270458.2768 -289.2875 (270*2π)/4602 weeks
271498.0695 -274.248 (271*2π)/4602 weeks
272538.0279 -256.7319 (272*2π)/4602 weeks
273576.0022 -226.4051 (273*2π)/4602 weeks
274601.629 -188.948 (274*2π)/4602 weeks
275620.1786 -152.9538 (275*2π)/4602 weeks
276635.5653 -112.6263 (276*2π)/4602 weeks
277642.1074 -66.96146 (277*2π)/4602 weeks
278636.9391 -20.50965 (278*2π)/4602 weeks
279621.2986 21.97826 (279*2π)/4602 weeks
280598.1838 60.39543 (280*2π)/4602 weeks
281564.7947 93.05198 (281*2π)/4602 weeks
282527.0442 111.7398 (282*2π)/4602 weeks
283491.8593 124.5871 (283*2π)/4602 weeks
284452.5668 133.3935 (284*2π)/4602 weeks
285410.8492 130.7413 (285*2π)/4602 weeks
286373.9457 118.7761 (286*2π)/4602 weeks
287339.3858 101.9717 (287*2π)/4602 weeks
288308.5397 74.01836 (288*2π)/4602 weeks
289291.4873 39.75119 (289*2π)/4602 weeks
290282.9073 12.57303 (290*2π)/4602 weeks
291270.7111 -17.60002 (291*2π)/4602 weeks
292272.1418 -56.10837 (292*2π)/4602 weeks
293284.3157 -83.45232 (293*2π)/4602 weeks
294294.1276 -107.5172 (294*2π)/4602 weeks
295310.1903 -132.9363 (295*2π)/4602 weeks
296332.1723 -149.0878 (296*2π)/4602 weeks
297348.0726 -162.7068 (297*2π)/4602 weeks
298372.2205 -180.9948 (298*2π)/4602 weeks
299404.9392 -187.1415 (299*2π)/4602 weeks
300432.2295 -185.1882 (300*2π)/4602 weeks
301461.3131 -180.5407 (301*2π)/4602 weeks
302489.0291 -164.425 (302*2π)/4602 weeks
303507.145 -144.4167 (303*2π)/4602 weeks
304522.4043 -124.8691 (304*2π)/4602 weeks
305535.278 -99.91242 (305*2π)/4602 weeks
306539.4815 -73.18864 (306*2π)/4602 weeks
307540.288 -47.78554 (307*2π)/4601 weeks
308533.7118 -19.90969 (308*2π)/4601 weeks
309520.61 1.49724 (309*2π)/4601 weeks
310507.8683 20.9104 (310*2π)/4601 weeks
311488.7056 40.25588 (311*2π)/4601 weeks
312465.222 51.60856 (312*2π)/4601 weeks
313444.0485 59.05556 (313*2π)/4601 weeks
314419.5996 65.75057 (314*2π)/4601 weeks
315393.9706 64.61165 (315*2π)/4601 weeks
316371.3621 62.04114 (316*2π)/4601 weeks
317345.9449 56.25269 (317*2π)/4601 weeks
318320.6779 45.64305 (318*2π)/4601 weeks
319296.5203 28.67747 (319*2π)/4601 weeks
320276.1077 7.63262 (320*2π)/4601 weeks
321257.6248 -18.13263 (321*2π)/4601 weeks
322247.0997 -49.21654 (322*2π)/4601 weeks
323241.7321 -78.87104 (323*2π)/4601 weeks
324240.9919 -110.8915 (324*2π)/4601 weeks
325245.4563 -143.3091 (325*2π)/4601 weeks
326257.5813 -177.5709 (326*2π)/4601 weeks
327281.8798 -206.2084 (327*2π)/4601 weeks
328306.4214 -223.1512 (328*2π)/4601 weeks
329330.0121 -239.5546 (329*2π)/4601 weeks
330358.1009 -252.2909 (330*2π)/4601 weeks
331388.2177 -257.6339 (331*2π)/4601 weeks
332417.4187 -258.172 (332*2π)/4601 weeks
333448.7197 -252.1009 (333*2π)/4601 weeks
334474.1678 -235.4162 (334*2π)/4601 weeks
335490.9487 -219.1601 (335*2π)/4601 weeks
336508.396 -201.9978 (336*2π)/4601 weeks
337519.3318 -177.963 (337*2π)/4601 weeks
338523.0667 -156.5142 (338*2π)/4601 weeks
339525.1747 -134.4164 (339*2π)/4601 weeks
340517.3564 -109.5792 (340*2π)/4601 weeks
341499.2329 -93.88466 (341*2π)/4601 weeks
342485.073 -90.01202 (342*2π)/4601 weeks
343474.042 -83.90022 (343*2π)/4601 weeks
344459.0462 -82.91705 (344*2π)/4601 weeks
345448.8593 -86.58569 (345*2π)/4601 weeks
346439.2369 -87.3538 (346*2π)/4601 weeks
347424.5235 -92.72272 (347*2π)/4601 weeks
348415.2874 -106.5668 (348*2π)/4601 weeks
349412.9875 -120.1996 (349*2π)/4601 weeks
350411.4299 -131.3548 (350*2π)/4601 weeks
351410.0769 -145.2052 (351*2π)/4601 weeks
352413.5859 -162.8331 (352*2π)/4601 weeks
353424.6059 -180.6257 (353*2π)/4601 weeks
354443.5943 -193.8847 (354*2π)/4601 weeks
355464.3127 -199.1556 (355*2π)/4601 weeks
356485.0613 -201.2469 (356*2π)/4601 weeks
357507.2857 -196.1574 (357*2π)/4601 weeks
358526.3736 -187.7384 (358*2π)/4601 weeks
359545.2919 -174.5074 (359*2π)/4601 weeks
360560.7003 -157.2439 (360*2π)/4601 weeks
361570.73 -138.5747 (361*2π)/4601 weeks
362581.7625 -119.7156 (362*2π)/4601 weeks
363591.7853 -92.51169 (363*2π)/4601 weeks
364591.8423 -60.29276 (364*2π)/4601 weeks
365582.0219 -32.43863 (365*2π)/4601 weeks
366572.7272 -7.84721 (366*2π)/4601 weeks
367559.1558 20.23983 (367*2π)/4601 weeks
368538.1508 47.85348 (368*2π)/4601 weeks
369509.5606 73.75999 (369*2π)/4601 weeks
370471.6236 90.44112 (370*2π)/4601 weeks
371435.8323 98.70651 (371*2π)/4601 weeks
372395.7816 106.8577 (372*2π)/4601 weeks
373352.4381 103.8853 (373*2π)/4601 weeks
374309.8246 95.93256 (374*2π)/4601 weeks
375265.3945 80.45361 (375*2π)/4601 weeks
376222.1289 53.68226 (376*2π)/4601 weeks
377184.9833 21.64801 (377*2π)/4601 weeks
378148.9307 -17.10822 (378*2π)/4601 weeks
379120.0659 -66.65307 (379*2π)/4601 weeks
380101.6908 -117.2079 (380*2π)/4601 weeks
38182.77013 -174.4257 (381*2π)/4601 weeks
38279.5723 -243.9049 (382*2π)/4601 weeks
38393.85641 -309.3452 (383*2π)/4601 weeks
384117.2162 -370.5767 (384*2π)/4601 weeks
385151.414 -428.2744 (385*2π)/4601 weeks
386196.5052 -479.0087 (386*2π)/4601 weeks
387248.5197 -520.6293 (387*2π)/4601 weeks
388306.9641 -557.9747 (388*2π)/4601 weeks
389379.9559 -579.1501 (389*2π)/4601 weeks
390444.1811 -579.0438 (390*2π)/4601 weeks
391504.2947 -582.7287 (391*2π)/4601 weeks
392576.621 -571.7627 (392*2π)/4601 weeks
393637.3705 -542.45 (393*2π)/4601 weeks
394696.5567 -512.4033 (394*2π)/4601 weeks
395755.2166 -456.6958 (395*2π)/4601 weeks
396780.0141 -388.9672 (396*2π)/4601 weeks
397794.2172 -342.5807 (397*2π)/4601 weeks
398818.6761 -287.9118 (398*2π)/4601 weeks
399824.0126 -217.4096 (399*2π)/4601 weeks
400812.0045 -157.2892 (400*2π)/4601 weeks
401796.7759 -96.84636 (401*2π)/4601 weeks
402762.6947 -31.79943 (402*2π)/4601 weeks
403708.1109 15.29208 (403*2π)/4601 weeks
404658.0693 47.68152 (404*2π)/4601 weeks
405593.9092 84.2067 (405*2π)/4601 weeks
406513.384 93.60648 (406*2π)/4601 weeks
407442.9653 79.98772 (407*2π)/4601 weeks
408375.8419 64.39909 (408*2π)/4601 weeks
409301.9163 24.94038 (409*2π)/4601 weeks
410248.4303 -34.30452 (410*2π)/4601 weeks
411205.8862 -97.33592 (411*2π)/4601 weeks
412174.068 -173.7377 (412*2π)/4601 weeks
413162.0939 -261.2679 (413*2π)/4601 weeks
414177.7169 -345.4729 (414*2π)/4601 weeks
415206.7618 -420.2358 (415*2π)/4601 weeks
416250.9643 -488.7119 (416*2π)/4601 weeks
417307.2298 -545.722 (417*2π)/4601 weeks
418371.7229 -589.1863 (418*2π)/4601 weeks
419444.9402 -621.2678 (419*2π)/4601 weeks
420519.9455 -631.6779 (420*2π)/4601 weeks
421592.668 -641.5898 (421*2π)/4601 weeks
422679.4363 -630.8699 (422*2π)/4601 weeks
423753.7275 -595.3171 (423*2π)/4601 weeks
424823.7668 -559.4017 (424*2π)/4601 weeks
425898.154 -490.8216 (425*2π)/4601 weeks
426934.8342 -400.8694 (426*2π)/4601 weeks
427954.2842 -323.4448 (427*2π)/4601 weeks
428969.5046 -235.3492 (428*2π)/4601 weeks
429963.1823 -133.8613 (429*2π)/4601 weeks
430926.2834 -33.68712 (430*2π)/4601 weeks
431872.6685 62.46278 (431*2π)/4601 weeks
432783.0449 162.4296 (432*2π)/4601 weeks
433652.1425 228.0871 (433*2π)/4601 weeks
434513.5831 255.0768 (434*2π)/4601 weeks
435362.1099 262.0577 (435*2π)/4601 weeks
436197.1213 224.3521 (436*2π)/4601 weeks
43753.12059 140.8077 (437*2π)/4601 weeks
438-78.35679 49.72452 (438*2π)/4601 weeks
439-225.1466 -87.92883 (439*2π)/4601 weeks
440-327.8437 -276.5634 (440*2π)/4601 weeks
441-395.8497 -481.0653 (441*2π)/4601 weeks
442-418.7063 -711.8376 (442*2π)/4601 weeks
443-396.2573 -946.4566 (443*2π)/4601 weeks
444-330.0815 -1,179.336 (444*2π)/4601 weeks
445-229.0179 -1,392.044 (445*2π)/4601 weeks
446-113.7232 -1,612.417 (446*2π)/4601 weeks
44770.48988 -1,837.58 (447*2π)/4601 weeks
448290.0143 -2,017.998 (448*2π)/4601 weeks
449542.9164 -2,203.566 (449*2π)/4601 weeks
450888.1476 -2,337.46 (450*2π)/4601 weeks
4511,225.367 -2,354.262 (451*2π)/4601 weeks
4521,519.93 -2,390.984 (452*2π)/4601 weeks
4531,928.19 -2,406.843 (453*2π)/4601 weeks
4542,342.002 -2,260.889 (454*2π)/4601 weeks
4552,672.206 -2,079.054 (455*2π)/4601 weeks
4563,016.825 -1,885.117 (456*2π)/4601 weeks
4573,374.614 -1,584.857 (457*2π)/4601 weeks
4583,612.438 -1,253.944 (458*2π)/4601 weeks



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