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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 45 weeks (2364.286*sine), 41 weeks (2206.201*sine), and 15 weeks (987.2784*cosine).

FAZ (Direxion Daily Financial Bear 3x Shares ETF) has an average price of 2,427.18 (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 7/10/2017 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
02,427.179   0 
14,122.796 1,066.022 (1*2π)/452452 weeks
23,668.715 1,284.176 (2*2π)/452226 weeks
33,417.35 1,631.776 (3*2π)/452151 weeks
43,043.229 1,934.186 (4*2π)/452113 weeks
52,689.569 2,131.929 (5*2π)/45290 weeks
62,344.105 2,321.754 (6*2π)/45275 weeks
71,905.911 2,456.457 (7*2π)/45265 weeks
81,499.66 2,423.993 (8*2π)/45257 weeks
91,198.561 2,396.212 (9*2π)/45250 weeks
10837.0729 2,364.286 (10*2π)/45245 weeks
11495.3333 2,206.201 (11*2π)/45241 weeks
12247.9478 2,016.09 (12*2π)/45238 weeks
1322.84617 1,821.479 (13*2π)/45235 weeks
14-148.7555 1,581.463 (14*2π)/45232 weeks
15-261.4457 1,360.413 (15*2π)/45230 weeks
16-360.537 1,133.797 (16*2π)/45228 weeks
17-415.2027 891.4784 (17*2π)/45227 weeks
18-424.3421 649.4476 (18*2π)/45225 weeks
19-382.0012 415.5095 (19*2π)/45224 weeks
20-303.0883 210.8878 (20*2π)/45223 weeks
21-176.8336 28.17256 (21*2π)/45222 weeks
22-25.52794 -86.9565 (22*2π)/45221 weeks
23109.7731 -179.8208 (23*2π)/45220 weeks
24272.8584 -251.4971 (24*2π)/45219 weeks
25440.2771 -268.5583 (25*2π)/45218 weeks
26586.5261 -250.5683 (26*2π)/45217 weeks
27729.4209 -205.9327 (27*2π)/45217 weeks
28848.8011 -115.8611 (28*2π)/45216 weeks
29918.4366 -12.24755 (29*2π)/45216 weeks
30965.6604 86.85354 (30*2π)/45215 weeks
31987.2784 194.4777 (31*2π)/45215 weeks
32979.8391 292.5415 (32*2π)/45214 weeks
33959.3129 374.7398 (33*2π)/45214 weeks
34934.3976 462.5565 (34*2π)/45213 weeks
35869.6669 548.0115 (35*2π)/45213 weeks
36790.8536 592.95 (36*2π)/45213 weeks
37720.233 630.9488 (37*2π)/45212 weeks
38631.6592 652.7764 (38*2π)/45212 weeks
39549.9219 645.6708 (39*2π)/45212 weeks
40476.4848 637.7522 (40*2π)/45211 weeks
41397.6164 609.9542 (41*2π)/45211 weeks
42329.0508 567.7688 (42*2π)/45211 weeks
43267.7849 512.1453 (43*2π)/45211 weeks
44218.6969 444.174 (44*2π)/45210 weeks
45185.993 367.7475 (45*2π)/45210 weeks
46166.3179 282.995 (46*2π)/45210 weeks
47173.5342 190.9287 (47*2π)/45210 weeks
48203.614 109.7874 (48*2π)/4529 weeks
49246.8079 42.96873 (49*2π)/4529 weeks
50299.7215 -18.84598 (50*2π)/4529 weeks
51374.9722 -63.14215 (51*2π)/4529 weeks
52445.7366 -80.10692 (52*2π)/4529 weeks
53517.5648 -94.86559 (53*2π)/4529 weeks
54600.8815 -86.82951 (54*2π)/4528 weeks
55668.3773 -49.54168 (55*2π)/4528 weeks
56720.1489 -15.87341 (56*2π)/4528 weeks
57776.6281 32.90763 (57*2π)/4528 weeks
58811.4386 100.3156 (58*2π)/4528 weeks
59826.9252 162.6712 (59*2π)/4528 weeks
60839.137 225.5464 (60*2π)/4528 weeks
61831.518 298.3011 (61*2π)/4527 weeks
62806.1182 352.9484 (62*2π)/4527 weeks
63792.5362 402.7401 (63*2π)/4527 weeks
64762.1873 474.0331 (64*2π)/4527 weeks
65699.0339 527.1175 (65*2π)/4527 weeks
66639.3594 557.0549 (66*2π)/4527 weeks
67573.3828 586.0193 (67*2π)/4527 weeks
68499.3972 592.285 (68*2π)/4527 weeks
69439.1461 589.4991 (69*2π)/4527 weeks
70368.5477 586.8634 (70*2π)/4526 weeks
71295.4021 558.5706 (71*2π)/4526 weeks
72238.0447 519.2755 (72*2π)/4526 weeks
73185.8486 473.4771 (73*2π)/4526 weeks
74142.2849 418.1071 (74*2π)/4526 weeks
75110.4176 356.772 (75*2π)/4526 weeks
7689.24213 292.4752 (76*2π)/4526 weeks
7779.32121 222.2312 (77*2π)/4526 weeks
7890.6643 153.3153 (78*2π)/4526 weeks
79110.6742 99.48772 (79*2π)/4526 weeks
80132.9142 45.9502 (80*2π)/4526 weeks
81167.3593 -1.05199 (81*2π)/4526 weeks
82205.1538 -37.30454 (82*2π)/4526 weeks
83245.5546 -68.94846 (83*2π)/4525 weeks
84292.192 -90.44038 (84*2π)/4525 weeks
85337.6173 -102.3073 (85*2π)/4525 weeks
86381.2325 -108.3564 (86*2π)/4525 weeks
87426.391 -105.1313 (87*2π)/4525 weeks
88463.2114 -96.11269 (88*2π)/4525 weeks
89502.4023 -84.01512 (89*2π)/4525 weeks
90537.0805 -59.43406 (90*2π)/4525 weeks
91561.692 -31.71949 (91*2π)/4525 weeks
92578.6779 -2.47799 (92*2π)/4525 weeks
93588.7982 24.47533 (93*2π)/4525 weeks
94599.4968 50.83406 (94*2π)/4525 weeks
95603.5488 84.04292 (95*2π)/4525 weeks
96595.9868 114.6395 (96*2π)/4525 weeks
97583.8226 135.833 (97*2π)/4525 weeks
98573.704 154.5461 (98*2π)/4525 weeks
99558.936 173.6538 (99*2π)/4525 weeks
100540.3464 188.6885 (100*2π)/4525 weeks
101520.4982 197.931 (101*2π)/4524 weeks
102498.3521 204.522 (102*2π)/4524 weeks
103476.0775 203.1136 (103*2π)/4524 weeks
104454.8203 198.5912 (104*2π)/4524 weeks
105434.3517 186.2277 (105*2π)/4524 weeks
106421.8725 168.0599 (106*2π)/4524 weeks
107417.4162 149.5699 (107*2π)/4524 weeks
108418.5682 134.7492 (108*2π)/4524 weeks
109420.2428 123.0994 (109*2π)/4524 weeks
110422.325 109.2291 (110*2π)/4524 weeks
111431.525 94.79946 (111*2π)/4524 weeks
112446.784 88.93193 (112*2π)/4524 weeks
113456.7956 88.12843 (113*2π)/4524 weeks
114467.4087 84.34592 (114*2π)/4524 weeks
115482.955 85.59309 (115*2π)/4524 weeks
116494.1859 91.78793 (116*2π)/4524 weeks
117509.4395 96.11258 (117*2π)/4524 weeks
118527.6839 113.5353 (118*2π)/4524 weeks
119534.4543 139.5393 (119*2π)/4524 weeks
120531.9649 161.9066 (120*2π)/4524 weeks
121527.6599 184.556 (121*2π)/4524 weeks
122514.6147 208.9759 (122*2π)/4524 weeks
123496.7482 225.7456 (123*2π)/4524 weeks
124478.5323 243.2537 (124*2π)/4524 weeks
125449.9368 258.8888 (125*2π)/4524 weeks
126417.8732 262.8969 (126*2π)/4524 weeks
127387.6421 261.4319 (127*2π)/4524 weeks
128356.3495 253.865 (128*2π)/4524 weeks
129328.4554 239.2585 (129*2π)/4524 weeks
130304.9739 222.3938 (130*2π)/4523 weeks
131278.0784 202.2016 (131*2π)/4523 weeks
132256.7148 168.968 (132*2π)/4523 weeks
133247.6225 133.977 (133*2π)/4523 weeks
134244.774 100.7799 (134*2π)/4523 weeks
135248.073 68.34168 (135*2π)/4523 weeks
136254.6732 37.2639 (136*2π)/4523 weeks
137269.8178 6.23807 (137*2π)/4523 weeks
138289.8438 -17.65917 (138*2π)/4523 weeks
139312.5478 -37.93692 (139*2π)/4523 weeks
140338.7336 -52.21075 (140*2π)/4523 weeks
141364.9045 -60.99183 (141*2π)/4523 weeks
142389.9586 -64.25002 (142*2π)/4523 weeks
143414.2344 -67.23987 (143*2π)/4523 weeks
144441.5445 -63.79535 (144*2π)/4523 weeks
145463.9292 -55.82102 (145*2π)/4523 weeks
146487.2784 -46.87029 (146*2π)/4523 weeks
147510.1594 -29.63839 (147*2π)/4523 weeks
148525.0703 -8.72666 (148*2π)/4523 weeks
149538.452 11.46902 (149*2π)/4523 weeks
150548.9051 38.64822 (150*2π)/4523 weeks
151549.3894 66.24435 (151*2π)/4523 weeks
152546.8929 93.01598 (152*2π)/4523 weeks
153536.1533 120.4632 (153*2π)/4523 weeks
154520.4192 141.6381 (154*2π)/4523 weeks
155503.1587 161.9948 (155*2π)/4523 weeks
156476.954 180.9538 (156*2π)/4523 weeks
157446.005 187.9694 (157*2π)/4523 weeks
158418.1978 190.1201 (158*2π)/4523 weeks
159384.8861 186.6688 (159*2π)/4523 weeks
160357.3225 168.8341 (160*2π)/4523 weeks
161340.8852 153.3838 (161*2π)/4523 weeks
162318.6215 138.189 (162*2π)/4523 weeks
163300.6665 112.4277 (163*2π)/4523 weeks
164290.3196 87.21462 (164*2π)/4523 weeks
165277.8634 59.86776 (165*2π)/4523 weeks
166274.9849 20.30828 (166*2π)/4523 weeks
167287.4308 -11.66953 (167*2π)/4523 weeks
168296.3988 -39.59299 (168*2π)/4523 weeks
169313.7743 -75.03621 (169*2π)/4523 weeks
170345.7117 -103.9761 (170*2π)/4523 weeks
171381.5039 -121.2603 (171*2π)/4523 weeks
172419.9344 -133.4263 (172*2π)/4523 weeks
173463.2257 -135.499 (173*2π)/4523 weeks
174503.4642 -125.8324 (174*2π)/4523 weeks
175539.9116 -112.2837 (175*2π)/4523 weeks
176579.2778 -91.54115 (176*2π)/4523 weeks
177612.3984 -56.507 (177*2π)/4523 weeks
178635.1456 -16.21177 (178*2π)/4523 weeks
179649.928 28.67467 (179*2π)/4523 weeks
180653.1219 76.9902 (180*2π)/4523 weeks
181644.1539 123.478 (181*2π)/4522 weeks
182627.0323 163.8934 (182*2π)/4522 weeks
183607.1329 201.4099 (183*2π)/4522 weeks
184577.297 239.5982 (184*2π)/4522 weeks
185536.0253 267.2058 (185*2π)/4522 weeks
186495.7593 283.5539 (186*2π)/4522 weeks
187451.9795 297.9696 (187*2π)/4522 weeks
188402.5668 299.325 (188*2π)/4522 weeks
189359.6387 291.4613 (189*2π)/4522 weeks
190315.9032 279.7223 (190*2π)/4522 weeks
191273.7921 255.4344 (191*2π)/4522 weeks
192241.3853 225.6762 (192*2π)/4522 weeks
193212.1112 194.1261 (193*2π)/4522 weeks
194185.6877 154.782 (194*2π)/4522 weeks
195169.6316 107.1502 (195*2π)/4522 weeks
196167.0776 61.93689 (196*2π)/4522 weeks
197165.8263 17.11488 (197*2π)/4522 weeks
198179.1856 -31.50732 (198*2π)/4522 weeks
199199.7049 -69.97666 (199*2π)/4522 weeks
200224.4954 -109.8374 (200*2π)/4522 weeks
201263.5757 -142.5296 (201*2π)/4522 weeks
202305.0596 -161.1563 (202*2π)/4522 weeks
203345.4878 -174.7727 (203*2π)/4522 weeks
204392.6687 -182.1379 (204*2π)/4522 weeks
205439.0748 -173.5602 (205*2π)/4522 weeks
206478.0029 -158.0004 (206*2π)/4522 weeks
207515.1196 -139.0786 (207*2π)/4522 weeks
208550.1105 -110.8382 (208*2π)/4522 weeks
209578.4394 -74.27018 (209*2π)/4522 weeks
210599.1707 -33.05532 (210*2π)/4522 weeks
211610.0927 17.41427 (211*2π)/4522 weeks
212603.0125 66.04569 (212*2π)/4522 weeks
213590.5786 106.4847 (213*2π)/4522 weeks
214573.7419 149.4568 (214*2π)/4522 weeks
215543.8397 190.4234 (215*2π)/4522 weeks
216503.0966 223.7357 (216*2π)/4522 weeks
217455.2517 244.0512 (217*2π)/4522 weeks
218405.5313 254.423 (218*2π)/4522 weeks
219354.7351 253.1409 (219*2π)/4522 weeks
220308.3343 244.4827 (220*2π)/4522 weeks
221258.4846 229.474 (221*2π)/4522 weeks
222209.4892 197.9995 (222*2π)/4522 weeks
223172.4542 155.2768 (223*2π)/4522 weeks
224144.2903 108.1962 (224*2π)/4522 weeks
225127.6611 53.10026 (225*2π)/4522 weeks
226124.8091   (226*2π)/4522 weeks
227127.6611 -53.10026 (227*2π)/4522 weeks
228144.2903 -108.1962 (228*2π)/4522 weeks
229172.4542 -155.2768 (229*2π)/4522 weeks
230209.4892 -197.9995 (230*2π)/4522 weeks
231258.4846 -229.474 (231*2π)/4522 weeks
232308.3343 -244.4827 (232*2π)/4522 weeks
233354.7351 -253.1409 (233*2π)/4522 weeks
234405.5313 -254.423 (234*2π)/4522 weeks
235455.2517 -244.0512 (235*2π)/4522 weeks
236503.0966 -223.7357 (236*2π)/4522 weeks
237543.8397 -190.4234 (237*2π)/4522 weeks
238573.7419 -149.4568 (238*2π)/4522 weeks
239590.5786 -106.4847 (239*2π)/4522 weeks
240603.0125 -66.04569 (240*2π)/4522 weeks
241610.0927 -17.41427 (241*2π)/4522 weeks
242599.1707 33.05532 (242*2π)/4522 weeks
243578.4394 74.27018 (243*2π)/4522 weeks
244550.1105 110.8382 (244*2π)/4522 weeks
245515.1196 139.0786 (245*2π)/4522 weeks
246478.0029 158.0004 (246*2π)/4522 weeks
247439.0748 173.5602 (247*2π)/4522 weeks
248392.6687 182.1379 (248*2π)/4522 weeks
249345.4878 174.7727 (249*2π)/4522 weeks
250305.0596 161.1563 (250*2π)/4522 weeks
251263.5757 142.5296 (251*2π)/4522 weeks
252224.4954 109.8374 (252*2π)/4522 weeks
253199.7049 69.97666 (253*2π)/4522 weeks
254179.1856 31.50732 (254*2π)/4522 weeks
255165.8263 -17.11488 (255*2π)/4522 weeks
256167.0776 -61.93689 (256*2π)/4522 weeks
257169.6316 -107.1502 (257*2π)/4522 weeks
258185.6877 -154.782 (258*2π)/4522 weeks
259212.1112 -194.1261 (259*2π)/4522 weeks
260241.3853 -225.6762 (260*2π)/4522 weeks
261273.7921 -255.4344 (261*2π)/4522 weeks
262315.9032 -279.7223 (262*2π)/4522 weeks
263359.6387 -291.4613 (263*2π)/4522 weeks
264402.5668 -299.325 (264*2π)/4522 weeks
265451.9795 -297.9696 (265*2π)/4522 weeks
266495.7593 -283.5539 (266*2π)/4522 weeks
267536.0253 -267.2058 (267*2π)/4522 weeks
268577.297 -239.5982 (268*2π)/4522 weeks
269607.1329 -201.4099 (269*2π)/4522 weeks
270627.0323 -163.8934 (270*2π)/4522 weeks
271644.1539 -123.478 (271*2π)/4522 weeks
272653.1219 -76.9902 (272*2π)/4522 weeks
273649.928 -28.67467 (273*2π)/4522 weeks
274635.1456 16.21177 (274*2π)/4522 weeks
275612.3984 56.507 (275*2π)/4522 weeks
276579.2778 91.54115 (276*2π)/4522 weeks
277539.9116 112.2837 (277*2π)/4522 weeks
278503.4642 125.8324 (278*2π)/4522 weeks
279463.2257 135.499 (279*2π)/4522 weeks
280419.9344 133.4263 (280*2π)/4522 weeks
281381.5039 121.2603 (281*2π)/4522 weeks
282345.7117 103.9761 (282*2π)/4522 weeks
283313.7743 75.03621 (283*2π)/4522 weeks
284296.3988 39.59299 (284*2π)/4522 weeks
285287.4308 11.66953 (285*2π)/4522 weeks
286274.9849 -20.30828 (286*2π)/4522 weeks
287277.8634 -59.86776 (287*2π)/4522 weeks
288290.3196 -87.21462 (288*2π)/4522 weeks
289300.6665 -112.4277 (289*2π)/4522 weeks
290318.6215 -138.189 (290*2π)/4522 weeks
291340.8852 -153.3838 (291*2π)/4522 weeks
292357.3225 -168.8341 (292*2π)/4522 weeks
293384.8861 -186.6688 (293*2π)/4522 weeks
294418.1978 -190.1201 (294*2π)/4522 weeks
295446.005 -187.9694 (295*2π)/4522 weeks
296476.954 -180.9538 (296*2π)/4522 weeks
297503.1587 -161.9948 (297*2π)/4522 weeks
298520.4192 -141.6381 (298*2π)/4522 weeks
299536.1533 -120.4632 (299*2π)/4522 weeks
300546.8929 -93.01598 (300*2π)/4522 weeks
301549.3894 -66.24435 (301*2π)/4522 weeks
302548.9051 -38.64822 (302*2π)/4521 weeks
303538.452 -11.46902 (303*2π)/4521 weeks
304525.0703 8.72666 (304*2π)/4521 weeks
305510.1594 29.63839 (305*2π)/4521 weeks
306487.2784 46.87029 (306*2π)/4521 weeks
307463.9292 55.82102 (307*2π)/4521 weeks
308441.5445 63.79535 (308*2π)/4521 weeks
309414.2344 67.23987 (309*2π)/4521 weeks
310389.9586 64.25002 (310*2π)/4521 weeks
311364.9045 60.99183 (311*2π)/4521 weeks
312338.7336 52.21075 (312*2π)/4521 weeks
313312.5478 37.93692 (313*2π)/4521 weeks
314289.8438 17.65917 (314*2π)/4521 weeks
315269.8178 -6.23807 (315*2π)/4521 weeks
316254.6732 -37.2639 (316*2π)/4521 weeks
317248.073 -68.34168 (317*2π)/4521 weeks
318244.774 -100.7799 (318*2π)/4521 weeks
319247.6225 -133.977 (319*2π)/4521 weeks
320256.7148 -168.968 (320*2π)/4521 weeks
321278.0784 -202.2016 (321*2π)/4521 weeks
322304.9739 -222.3938 (322*2π)/4521 weeks
323328.4554 -239.2585 (323*2π)/4521 weeks
324356.3495 -253.865 (324*2π)/4521 weeks
325387.6421 -261.4319 (325*2π)/4521 weeks
326417.8732 -262.8969 (326*2π)/4521 weeks
327449.9368 -258.8888 (327*2π)/4521 weeks
328478.5323 -243.2537 (328*2π)/4521 weeks
329496.7482 -225.7456 (329*2π)/4521 weeks
330514.6147 -208.9759 (330*2π)/4521 weeks
331527.6599 -184.556 (331*2π)/4521 weeks
332531.9649 -161.9066 (332*2π)/4521 weeks
333534.4543 -139.5393 (333*2π)/4521 weeks
334527.6839 -113.5353 (334*2π)/4521 weeks
335509.4395 -96.11258 (335*2π)/4521 weeks
336494.1859 -91.78793 (336*2π)/4521 weeks
337482.955 -85.59309 (337*2π)/4521 weeks
338467.4087 -84.34592 (338*2π)/4521 weeks
339456.7956 -88.12843 (339*2π)/4521 weeks
340446.784 -88.93193 (340*2π)/4521 weeks
341431.525 -94.79946 (341*2π)/4521 weeks
342422.325 -109.2291 (342*2π)/4521 weeks
343420.2428 -123.0994 (343*2π)/4521 weeks
344418.5682 -134.7492 (344*2π)/4521 weeks
345417.4162 -149.5699 (345*2π)/4521 weeks
346421.8725 -168.0599 (346*2π)/4521 weeks
347434.3517 -186.2277 (347*2π)/4521 weeks
348454.8203 -198.5912 (348*2π)/4521 weeks
349476.0775 -203.1136 (349*2π)/4521 weeks
350498.3521 -204.522 (350*2π)/4521 weeks
351520.4982 -197.931 (351*2π)/4521 weeks
352540.3464 -188.6885 (352*2π)/4521 weeks
353558.936 -173.6538 (353*2π)/4521 weeks
354573.704 -154.5461 (354*2π)/4521 weeks
355583.8226 -135.833 (355*2π)/4521 weeks
356595.9868 -114.6395 (356*2π)/4521 weeks
357603.5488 -84.04292 (357*2π)/4521 weeks
358599.4968 -50.83406 (358*2π)/4521 weeks
359588.7982 -24.47533 (359*2π)/4521 weeks
360578.6779 2.47799 (360*2π)/4521 weeks
361561.692 31.71949 (361*2π)/4521 weeks
362537.0805 59.43406 (362*2π)/4521 weeks
363502.4023 84.01512 (363*2π)/4521 weeks
364463.2114 96.11269 (364*2π)/4521 weeks
365426.391 105.1313 (365*2π)/4521 weeks
366381.2325 108.3564 (366*2π)/4521 weeks
367337.6173 102.3073 (367*2π)/4521 weeks
368292.192 90.44038 (368*2π)/4521 weeks
369245.5546 68.94846 (369*2π)/4521 weeks
370205.1538 37.30454 (370*2π)/4521 weeks
371167.3593 1.05199 (371*2π)/4521 weeks
372132.9142 -45.9502 (372*2π)/4521 weeks
373110.6742 -99.48772 (373*2π)/4521 weeks
37490.6643 -153.3153 (374*2π)/4521 weeks
37579.32121 -222.2312 (375*2π)/4521 weeks
37689.24213 -292.4752 (376*2π)/4521 weeks
377110.4176 -356.772 (377*2π)/4521 weeks
378142.2849 -418.1071 (378*2π)/4521 weeks
379185.8486 -473.4771 (379*2π)/4521 weeks
380238.0447 -519.2755 (380*2π)/4521 weeks
381295.4021 -558.5706 (381*2π)/4521 weeks
382368.5477 -586.8634 (382*2π)/4521 weeks
383439.1461 -589.4991 (383*2π)/4521 weeks
384499.3972 -592.285 (384*2π)/4521 weeks
385573.3828 -586.0193 (385*2π)/4521 weeks
386639.3594 -557.0549 (386*2π)/4521 weeks
387699.0339 -527.1175 (387*2π)/4521 weeks
388762.1873 -474.0331 (388*2π)/4521 weeks
389792.5362 -402.7401 (389*2π)/4521 weeks
390806.1182 -352.9484 (390*2π)/4521 weeks
391831.518 -298.3011 (391*2π)/4521 weeks
392839.137 -225.5464 (392*2π)/4521 weeks
393826.9252 -162.6712 (393*2π)/4521 weeks
394811.4386 -100.3156 (394*2π)/4521 weeks
395776.6281 -32.90763 (395*2π)/4521 weeks
396720.1489 15.87341 (396*2π)/4521 weeks
397668.3773 49.54168 (397*2π)/4521 weeks
398600.8815 86.82951 (398*2π)/4521 weeks
399517.5648 94.86559 (399*2π)/4521 weeks
400445.7366 80.10692 (400*2π)/4521 weeks
401374.9722 63.14215 (401*2π)/4521 weeks
402299.7215 18.84598 (402*2π)/4521 weeks
403246.8079 -42.96873 (403*2π)/4521 weeks
404203.614 -109.7874 (404*2π)/4521 weeks
405173.5342 -190.9287 (405*2π)/4521 weeks
406166.3179 -282.995 (406*2π)/4521 weeks
407185.993 -367.7475 (407*2π)/4521 weeks
408218.6969 -444.174 (408*2π)/4521 weeks
409267.7849 -512.1453 (409*2π)/4521 weeks
410329.0508 -567.7688 (410*2π)/4521 weeks
411397.6164 -609.9542 (411*2π)/4521 weeks
412476.4848 -637.7522 (412*2π)/4521 weeks
413549.9219 -645.6708 (413*2π)/4521 weeks
414631.6592 -652.7764 (414*2π)/4521 weeks
415720.233 -630.9488 (415*2π)/4521 weeks
416790.8536 -592.95 (416*2π)/4521 weeks
417869.6669 -548.0115 (417*2π)/4521 weeks
418934.3976 -462.5565 (418*2π)/4521 weeks
419959.3129 -374.7398 (419*2π)/4521 weeks
420979.8391 -292.5415 (420*2π)/4521 weeks
421987.2784 -194.4777 (421*2π)/4521 weeks
422965.6604 -86.85354 (422*2π)/4521 weeks
423918.4366 12.24755 (423*2π)/4521 weeks
424848.8011 115.8611 (424*2π)/4521 weeks
425729.4209 205.9327 (425*2π)/4521 weeks
426586.5261 250.5683 (426*2π)/4521 weeks
427440.2771 268.5583 (427*2π)/4521 weeks
428272.8584 251.4971 (428*2π)/4521 weeks
429109.7731 179.8208 (429*2π)/4521 weeks
430-25.52794 86.9565 (430*2π)/4521 weeks
431-176.8336 -28.17256 (431*2π)/4521 weeks
432-303.0883 -210.8878 (432*2π)/4521 weeks
433-382.0012 -415.5095 (433*2π)/4521 weeks
434-424.3421 -649.4476 (434*2π)/4521 weeks
435-415.2027 -891.4784 (435*2π)/4521 weeks
436-360.537 -1,133.797 (436*2π)/4521 weeks
437-261.4457 -1,360.413 (437*2π)/4521 weeks
438-148.7555 -1,581.463 (438*2π)/4521 weeks
43922.84617 -1,821.479 (439*2π)/4521 weeks
440247.9478 -2,016.09 (440*2π)/4521 weeks
441495.3333 -2,206.201 (441*2π)/4521 weeks
442837.0729 -2,364.286 (442*2π)/4521 weeks
4431,198.561 -2,396.212 (443*2π)/4521 weeks
4441,499.66 -2,423.993 (444*2π)/4521 weeks
4451,905.911 -2,456.457 (445*2π)/4521 weeks
4462,344.105 -2,321.754 (446*2π)/4521 weeks
4472,689.569 -2,131.929 (447*2π)/4521 weeks
4483,043.229 -1,934.186 (448*2π)/4521 weeks
4493,417.35 -1,631.776 (449*2π)/4521 weeks
4503,668.715 -1,284.176 (450*2π)/4521 weeks



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