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Fourier Analysis of SMK (ProShares UltraShort MSCI Mexico Capped IMI ETF)


SMK (ProShares UltraShort MSCI Mexico Capped IMI ETF) appears to have interesting cyclic behaviour every 39 weeks (5.9099*sine), 43 weeks (5.4611*sine), and 31 weeks (2.922*cosine).

SMK (ProShares UltraShort MSCI Mexico Capped IMI ETF) has an average price of 44.29 (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 6/18/2009 to 9/5/2017 for SMK (ProShares UltraShort MSCI Mexico Capped IMI ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
044.28736   0 
125.47963 21.10197 (1*2π)/430430 weeks
28.4745 15.397 (2*2π)/430215 weeks
37.33884 13.09184 (3*2π)/430143 weeks
45.20819 13.18315 (4*2π)/430108 weeks
51.93146 8.12203 (5*2π)/43086 weeks
63.16998 6.63123 (6*2π)/43072 weeks
74.32743 6.32141 (7*2π)/43061 weeks
83.83724 8.36363 (8*2π)/43054 weeks
92.24947 8.14977 (9*2π)/43048 weeks
102.62285 5.46113 (10*2π)/43043 weeks
111.9494 5.90994 (11*2π)/43039 weeks
121.70168 4.95628 (12*2π)/43036 weeks
131.52159 3.41401 (13*2π)/43033 weeks
142.92203 4.05359 (14*2π)/43031 weeks
152.00286 4.92947 (15*2π)/43029 weeks
161.42761 3.84796 (16*2π)/43027 weeks
17.97796 3.71496 (17*2π)/43025 weeks
18.39419 3.98059 (18*2π)/43024 weeks
191.37576 3.62446 (19*2π)/43023 weeks
201.26156 3.46366 (20*2π)/43022 weeks
211.06003 2.56797 (21*2π)/43020 weeks
221.23073 2.20629 (22*2π)/43020 weeks
231.13142 3.07835 (23*2π)/43019 weeks
241.31487 2.26459 (24*2π)/43018 weeks
252.57402 2.34645 (25*2π)/43017 weeks
262.26351 2.6216 (26*2π)/43017 weeks
271.52999 3.24622 (27*2π)/43016 weeks
281.38831 3.0106 (28*2π)/43015 weeks
291.28023 3.40948 (29*2π)/43015 weeks
30.6101 3.35924 (30*2π)/43014 weeks
31.46936 2.92894 (31*2π)/43014 weeks
32.02687 2.06244 (32*2π)/43013 weeks
331.07522 1.59648 (33*2π)/43013 weeks
34.92746 2.46089 (34*2π)/43013 weeks
35.71867 1.86971 (35*2π)/43012 weeks
361.18102 2.09476 (36*2π)/43012 weeks
37.91561 2.2469 (37*2π)/43012 weeks
38.46457 2.06929 (38*2π)/43011 weeks
391.26233 2.38845 (39*2π)/43011 weeks
40.77393 2.6013 (40*2π)/43011 weeks
41.60041 2.03089 (41*2π)/43010 weeks
42.61838 2.0388 (42*2π)/43010 weeks
43.67922 1.9868 (43*2π)/43010 weeks
44.22645 2.18974 (44*2π)/43010 weeks
45.37296 1.89323 (45*2π)/43010 weeks
46.35422 1.71629 (46*2π)/4309 weeks
47.55238 2.01744 (47*2π)/4309 weeks
48.05522 2.25312 (48*2π)/4309 weeks
49.04609 1.78038 (49*2π)/4309 weeks
50.17227 1.45323 (50*2π)/4309 weeks
51.49041 1.42694 (51*2π)/4308 weeks
52-.03786 1.11651 (52*2π)/4308 weeks
53.39756 .90571 (53*2π)/4308 weeks
54.51344 1.33515 (54*2π)/4308 weeks
55.28454 1.71444 (55*2π)/4308 weeks
56-.02934 1.68236 (56*2π)/4308 weeks
57.10535 1.40113 (57*2π)/4308 weeks
58.22231 1.67038 (58*2π)/4307 weeks
59-.16303 1.40728 (59*2π)/4307 weeks
60-.18296 .4675 (60*2π)/4307 weeks
61.72798 .46227 (61*2π)/4307 weeks
62.5576 1.10573 (62*2π)/4307 weeks
63.37155 1.12646 (63*2π)/4307 weeks
64.47882 .85826 (64*2π)/4307 weeks
65.6142 1.23662 (65*2π)/4307 weeks
66.21928 1.25531 (66*2π)/4307 weeks
67.18104 1.14519 (67*2π)/4306 weeks
68.29803 1.15977 (68*2π)/4306 weeks
69.31499 1.06659 (69*2π)/4306 weeks
70.27685 1.0095 (70*2π)/4306 weeks
71.01598 1.05872 (71*2π)/4306 weeks
72.04655 1.06498 (72*2π)/4306 weeks
73-.03349 1.05748 (73*2π)/4306 weeks
74-.15306 .67695 (74*2π)/4306 weeks
75.10749 .52086 (75*2π)/4306 weeks
76.13541 .26646 (76*2π)/4306 weeks
77.15893 .41215 (77*2π)/4306 weeks
78.21136 .42233 (78*2π)/4306 weeks
79.47135 .62684 (79*2π)/4305 weeks
80.57886 .33106 (80*2π)/4305 weeks
81.44207 .51126 (81*2π)/4305 weeks
82.51586 .43335 (82*2π)/4305 weeks
83.36655 .54749 (83*2π)/4305 weeks
84.53825 .36324 (84*2π)/4305 weeks
85.52198 .49074 (85*2π)/4305 weeks
86.47279 .48676 (86*2π)/4305 weeks
87.66912 .71927 (87*2π)/4305 weeks
88.80385 .68272 (88*2π)/4305 weeks
89.42266 .649 (89*2π)/4305 weeks
90.48048 .39222 (90*2π)/4305 weeks
91.53087 .5586 (91*2π)/4305 weeks
92.56981 .62418 (92*2π)/4305 weeks
93.47782 .69946 (93*2π)/4305 weeks
94.53524 .51239 (94*2π)/4305 weeks
95.47616 .77855 (95*2π)/4305 weeks
96.39422 .94975 (96*2π)/4304 weeks
97.1121 .99006 (97*2π)/4304 weeks
98.22455 .59213 (98*2π)/4304 weeks
99.22483 .73176 (99*2π)/4304 weeks
100-.05519 .51282 (100*2π)/4304 weeks
101-.08919 .21547 (101*2π)/4304 weeks
102.07678 .17503 (102*2π)/4304 weeks
103.16437 .19851 (103*2π)/4304 weeks
104.22174 .09539 (104*2π)/4304 weeks
105.3849 .07833 (105*2π)/4304 weeks
106.0577 .23853 (106*2π)/4304 weeks
107.18982 -.04295 (107*2π)/4304 weeks
108.47973 -.02732 (108*2π)/4304 weeks
109.63072 -.09623 (109*2π)/4304 weeks
110.53923 .00116 (110*2π)/4304 weeks
111.64366 -.04916 (111*2π)/4304 weeks
112.8715 .09212 (112*2π)/4304 weeks
113.87777 .30539 (113*2π)/4304 weeks
114.62803 .36196 (114*2π)/4304 weeks
115.7334 .09357 (115*2π)/4304 weeks
116.74721 .33321 (116*2π)/4304 weeks
117.66244 .20011 (117*2π)/4304 weeks
118.76542 .09072 (118*2π)/4304 weeks
119.92723 .2996 (119*2π)/4304 weeks
120.69182 .50043 (120*2π)/4304 weeks
121.61582 .3562 (121*2π)/4304 weeks
122.67927 .49032 (122*2π)/4304 weeks
123.65122 .50606 (123*2π)/4303 weeks
124.50991 .58267 (124*2π)/4303 weeks
125.37446 .30641 (125*2π)/4303 weeks
126.57101 .29668 (126*2π)/4303 weeks
127.57507 .14621 (127*2π)/4303 weeks
128.57474 .14842 (128*2π)/4303 weeks
129.54287 .24755 (129*2π)/4303 weeks
130.51433 .21885 (130*2π)/4303 weeks
131.63719 .11267 (131*2π)/4303 weeks
132.69878 .2963 (132*2π)/4303 weeks
133.56253 .27261 (133*2π)/4303 weeks
134.63681 .21756 (134*2π)/4303 weeks
135.72182 .20314 (135*2π)/4303 weeks
136.71026 .2595 (136*2π)/4303 weeks
137.52644 .23535 (137*2π)/4303 weeks
138.69306 .1968 (138*2π)/4303 weeks
139.77889 .33381 (139*2π)/4303 weeks
140.58091 .30094 (140*2π)/4303 weeks
141.59394 .31933 (141*2π)/4303 weeks
142.68673 .27169 (142*2π)/4303 weeks
143.56225 .36715 (143*2π)/4303 weeks
144.46961 .2613 (144*2π)/4303 weeks
145.52772 .22429 (145*2π)/4303 weeks
146.55656 .28877 (146*2π)/4303 weeks
147.52914 .24017 (147*2π)/4303 weeks
148.68791 -.11252 (148*2π)/4303 weeks
149.64623 .06046 (149*2π)/4303 weeks
150.69007 .1417 (150*2π)/4303 weeks
151.86864 -.05484 (151*2π)/4303 weeks
152.98871 .15553 (152*2π)/4303 weeks
153.79494 .52031 (153*2π)/4303 weeks
154.76522 .41824 (154*2π)/4303 weeks
155.84937 .45021 (155*2π)/4303 weeks
156.80382 .47592 (156*2π)/4303 weeks
157.5248 .49796 (157*2π)/4303 weeks
158.59288 .17007 (158*2π)/4303 weeks
159.84011 .39229 (159*2π)/4303 weeks
160.73525 .54335 (160*2π)/4303 weeks
161.51555 .45325 (161*2π)/4303 weeks
162.57177 .43918 (162*2π)/4303 weeks
163.51011 .45144 (163*2π)/4303 weeks
164.30404 .34113 (164*2π)/4303 weeks
165.39847 .2549 (165*2π)/4303 weeks
166.50989 .23994 (166*2π)/4303 weeks
167.80932 .29254 (167*2π)/4303 weeks
168.50005 .22793 (168*2π)/4303 weeks
169.64125 .1901 (169*2π)/4303 weeks
170.62625 .39428 (170*2π)/4303 weeks
171.51924 .46433 (171*2π)/4303 weeks
172.43435 .36608 (172*2π)/4303 weeks
173.45852 .43166 (173*2π)/4302 weeks
174.34149 .34217 (174*2π)/4302 weeks
175.45431 .21671 (175*2π)/4302 weeks
176.59426 .29542 (176*2π)/4302 weeks
177.45947 .18521 (177*2π)/4302 weeks
178.45859 .12793 (178*2π)/4302 weeks
179.62007 .28066 (179*2π)/4302 weeks
180.52758 .35708 (180*2π)/4302 weeks
181.47959 .29338 (181*2π)/4302 weeks
182.373 .24996 (182*2π)/4302 weeks
183.27613 .27786 (183*2π)/4302 weeks
184.27539 .19581 (184*2π)/4302 weeks
185.29989 .26033 (185*2π)/4302 weeks
186.45752 .13427 (186*2π)/4302 weeks
187.44068 .2329 (187*2π)/4302 weeks
188.21422 .05858 (188*2π)/4302 weeks
189.50427 .04372 (189*2π)/4302 weeks
190.51131 .34356 (190*2π)/4302 weeks
191.24873 .20558 (191*2π)/4302 weeks
192.25342 -.02137 (192*2π)/4302 weeks
193.4411 -.07384 (193*2π)/4302 weeks
194.28826 .20445 (194*2π)/4302 weeks
195.26685 .01612 (195*2π)/4302 weeks
196.36822 -.02242 (196*2π)/4302 weeks
197.52982 -.06677 (197*2π)/4302 weeks
198.46637 -.01859 (198*2π)/4302 weeks
199.44649 -.05551 (199*2π)/4302 weeks
200.66272 .08705 (200*2π)/4302 weeks
201.68484 .1936 (201*2π)/4302 weeks
202.3964 .20995 (202*2π)/4302 weeks
203.25744 -.05802 (203*2π)/4302 weeks
204.46548 -.1219 (204*2π)/4302 weeks
205.52197 -.08147 (205*2π)/4302 weeks
206.64739 .08981 (206*2π)/4302 weeks
207.6433 .08248 (207*2π)/4302 weeks
208.61352 .11396 (208*2π)/4302 weeks
209.26238 .27207 (209*2π)/4302 weeks
210.21593 .07966 (210*2π)/4302 weeks
211.26213 -.1406 (211*2π)/4302 weeks
212.42456 -.10359 (212*2π)/4302 weeks
213.37874 -.17101 (213*2π)/4302 weeks
214.71531 -.32465 (214*2π)/4302 weeks
215.75395   (215*2π)/4302 weeks
216.71531 .32465 (216*2π)/4302 weeks
217.37874 .17101 (217*2π)/4302 weeks
218.42456 .10359 (218*2π)/4302 weeks
219.26213 .1406 (219*2π)/4302 weeks
220.21593 -.07966 (220*2π)/4302 weeks
221.26238 -.27207 (221*2π)/4302 weeks
222.61352 -.11396 (222*2π)/4302 weeks
223.6433 -.08248 (223*2π)/4302 weeks
224.64739 -.08981 (224*2π)/4302 weeks
225.52197 .08147 (225*2π)/4302 weeks
226.46548 .1219 (226*2π)/4302 weeks
227.25744 .05802 (227*2π)/4302 weeks
228.3964 -.20995 (228*2π)/4302 weeks
229.68484 -.1936 (229*2π)/4302 weeks
230.66272 -.08705 (230*2π)/4302 weeks
231.44649 .05551 (231*2π)/4302 weeks
232.46637 .01859 (232*2π)/4302 weeks
233.52982 .06677 (233*2π)/4302 weeks
234.36822 .02242 (234*2π)/4302 weeks
235.26685 -.01612 (235*2π)/4302 weeks
236.28826 -.20445 (236*2π)/4302 weeks
237.4411 .07384 (237*2π)/4302 weeks
238.25342 .02137 (238*2π)/4302 weeks
239.24873 -.20558 (239*2π)/4302 weeks
240.51131 -.34356 (240*2π)/4302 weeks
241.50427 -.04372 (241*2π)/4302 weeks
242.21422 -.05858 (242*2π)/4302 weeks
243.44068 -.2329 (243*2π)/4302 weeks
244.45752 -.13427 (244*2π)/4302 weeks
245.29989 -.26033 (245*2π)/4302 weeks
246.27539 -.19581 (246*2π)/4302 weeks
247.27613 -.27786 (247*2π)/4302 weeks
248.373 -.24996 (248*2π)/4302 weeks
249.47959 -.29338 (249*2π)/4302 weeks
250.52758 -.35708 (250*2π)/4302 weeks
251.62007 -.28066 (251*2π)/4302 weeks
252.45859 -.12793 (252*2π)/4302 weeks
253.45947 -.18521 (253*2π)/4302 weeks
254.59426 -.29542 (254*2π)/4302 weeks
255.45431 -.21671 (255*2π)/4302 weeks
256.34149 -.34217 (256*2π)/4302 weeks
257.45852 -.43166 (257*2π)/4302 weeks
258.43435 -.36608 (258*2π)/4302 weeks
259.51924 -.46433 (259*2π)/4302 weeks
260.62625 -.39428 (260*2π)/4302 weeks
261.64125 -.1901 (261*2π)/4302 weeks
262.50005 -.22793 (262*2π)/4302 weeks
263.80932 -.29254 (263*2π)/4302 weeks
264.50989 -.23994 (264*2π)/4302 weeks
265.39847 -.2549 (265*2π)/4302 weeks
266.30404 -.34113 (266*2π)/4302 weeks
267.51011 -.45144 (267*2π)/4302 weeks
268.57177 -.43918 (268*2π)/4302 weeks
269.51555 -.45325 (269*2π)/4302 weeks
270.73525 -.54335 (270*2π)/4302 weeks
271.84011 -.39229 (271*2π)/4302 weeks
272.59288 -.17007 (272*2π)/4302 weeks
273.5248 -.49796 (273*2π)/4302 weeks
274.80382 -.47592 (274*2π)/4302 weeks
275.84937 -.45021 (275*2π)/4302 weeks
276.76522 -.41824 (276*2π)/4302 weeks
277.79494 -.52031 (277*2π)/4302 weeks
278.98871 -.15553 (278*2π)/4302 weeks
279.86864 .05484 (279*2π)/4302 weeks
280.69007 -.1417 (280*2π)/4302 weeks
281.64623 -.06046 (281*2π)/4302 weeks
282.68791 .11252 (282*2π)/4302 weeks
283.52914 -.24017 (283*2π)/4302 weeks
284.55656 -.28877 (284*2π)/4302 weeks
285.52772 -.22429 (285*2π)/4302 weeks
286.46961 -.2613 (286*2π)/4302 weeks
287.56225 -.36715 (287*2π)/4301 weeks
288.68673 -.27169 (288*2π)/4301 weeks
289.59394 -.31933 (289*2π)/4301 weeks
290.58091 -.30094 (290*2π)/4301 weeks
291.77889 -.33381 (291*2π)/4301 weeks
292.69306 -.1968 (292*2π)/4301 weeks
293.52644 -.23535 (293*2π)/4301 weeks
294.71026 -.2595 (294*2π)/4301 weeks
295.72182 -.20314 (295*2π)/4301 weeks
296.63681 -.21756 (296*2π)/4301 weeks
297.56253 -.27261 (297*2π)/4301 weeks
298.69878 -.2963 (298*2π)/4301 weeks
299.63719 -.11267 (299*2π)/4301 weeks
300.51433 -.21885 (300*2π)/4301 weeks
301.54287 -.24755 (301*2π)/4301 weeks
302.57474 -.14842 (302*2π)/4301 weeks
303.57507 -.14621 (303*2π)/4301 weeks
304.57101 -.29668 (304*2π)/4301 weeks
305.37446 -.30641 (305*2π)/4301 weeks
306.50991 -.58267 (306*2π)/4301 weeks
307.65122 -.50606 (307*2π)/4301 weeks
308.67927 -.49032 (308*2π)/4301 weeks
309.61582 -.3562 (309*2π)/4301 weeks
310.69182 -.50043 (310*2π)/4301 weeks
311.92723 -.2996 (311*2π)/4301 weeks
312.76542 -.09072 (312*2π)/4301 weeks
313.66244 -.20011 (313*2π)/4301 weeks
314.74721 -.33321 (314*2π)/4301 weeks
315.7334 -.09357 (315*2π)/4301 weeks
316.62803 -.36196 (316*2π)/4301 weeks
317.87777 -.30539 (317*2π)/4301 weeks
318.8715 -.09212 (318*2π)/4301 weeks
319.64366 .04916 (319*2π)/4301 weeks
320.53923 -.00116 (320*2π)/4301 weeks
321.63072 .09623 (321*2π)/4301 weeks
322.47973 .02732 (322*2π)/4301 weeks
323.18982 .04295 (323*2π)/4301 weeks
324.0577 -.23853 (324*2π)/4301 weeks
325.3849 -.07833 (325*2π)/4301 weeks
326.22174 -.09539 (326*2π)/4301 weeks
327.16437 -.19851 (327*2π)/4301 weeks
328.07678 -.17503 (328*2π)/4301 weeks
329-.08919 -.21547 (329*2π)/4301 weeks
330-.05519 -.51282 (330*2π)/4301 weeks
331.22483 -.73176 (331*2π)/4301 weeks
332.22455 -.59213 (332*2π)/4301 weeks
333.1121 -.99006 (333*2π)/4301 weeks
334.39422 -.94975 (334*2π)/4301 weeks
335.47616 -.77855 (335*2π)/4301 weeks
336.53524 -.51239 (336*2π)/4301 weeks
337.47782 -.69946 (337*2π)/4301 weeks
338.56981 -.62418 (338*2π)/4301 weeks
339.53087 -.5586 (339*2π)/4301 weeks
340.48048 -.39222 (340*2π)/4301 weeks
341.42266 -.649 (341*2π)/4301 weeks
342.80385 -.68272 (342*2π)/4301 weeks
343.66912 -.71927 (343*2π)/4301 weeks
344.47279 -.48676 (344*2π)/4301 weeks
345.52198 -.49074 (345*2π)/4301 weeks
346.53825 -.36324 (346*2π)/4301 weeks
347.36655 -.54749 (347*2π)/4301 weeks
348.51586 -.43335 (348*2π)/4301 weeks
349.44207 -.51126 (349*2π)/4301 weeks
350.57886 -.33106 (350*2π)/4301 weeks
351.47135 -.62684 (351*2π)/4301 weeks
352.21136 -.42233 (352*2π)/4301 weeks
353.15893 -.41215 (353*2π)/4301 weeks
354.13541 -.26646 (354*2π)/4301 weeks
355.10749 -.52086 (355*2π)/4301 weeks
356-.15306 -.67695 (356*2π)/4301 weeks
357-.03349 -1.05748 (357*2π)/4301 weeks
358.04655 -1.06498 (358*2π)/4301 weeks
359.01598 -1.05872 (359*2π)/4301 weeks
360.27685 -1.0095 (360*2π)/4301 weeks
361.31499 -1.06659 (361*2π)/4301 weeks
362.29803 -1.15977 (362*2π)/4301 weeks
363.18104 -1.14519 (363*2π)/4301 weeks
364.21928 -1.25531 (364*2π)/4301 weeks
365.6142 -1.23662 (365*2π)/4301 weeks
366.47882 -.85826 (366*2π)/4301 weeks
367.37155 -1.12646 (367*2π)/4301 weeks
368.5576 -1.10573 (368*2π)/4301 weeks
369.72798 -.46227 (369*2π)/4301 weeks
370-.18296 -.4675 (370*2π)/4301 weeks
371-.16303 -1.40728 (371*2π)/4301 weeks
372.22231 -1.67038 (372*2π)/4301 weeks
373.10535 -1.40113 (373*2π)/4301 weeks
374-.02934 -1.68236 (374*2π)/4301 weeks
375.28454 -1.71444 (375*2π)/4301 weeks
376.51344 -1.33515 (376*2π)/4301 weeks
377.39756 -.90571 (377*2π)/4301 weeks
378-.03786 -1.11651 (378*2π)/4301 weeks
379.49041 -1.42694 (379*2π)/4301 weeks
380.17227 -1.45323 (380*2π)/4301 weeks
381.04609 -1.78038 (381*2π)/4301 weeks
382.05522 -2.25312 (382*2π)/4301 weeks
383.55238 -2.01744 (383*2π)/4301 weeks
384.35422 -1.71629 (384*2π)/4301 weeks
385.37296 -1.89323 (385*2π)/4301 weeks
386.22645 -2.18974 (386*2π)/4301 weeks
387.67922 -1.9868 (387*2π)/4301 weeks
388.61838 -2.0388 (388*2π)/4301 weeks
389.60041 -2.03089 (389*2π)/4301 weeks
390.77393 -2.6013 (390*2π)/4301 weeks
3911.26233 -2.38845 (391*2π)/4301 weeks
392.46457 -2.06929 (392*2π)/4301 weeks
393.91561 -2.2469 (393*2π)/4301 weeks
3941.18102 -2.09476 (394*2π)/4301 weeks
395.71867 -1.86971 (395*2π)/4301 weeks
396.92746 -2.46089 (396*2π)/4301 weeks
3971.07522 -1.59648 (397*2π)/4301 weeks
398.02687 -2.06244 (398*2π)/4301 weeks
399.46936 -2.92894 (399*2π)/4301 weeks
400.6101 -3.35924 (400*2π)/4301 weeks
4011.28023 -3.40948 (401*2π)/4301 weeks
4021.38831 -3.0106 (402*2π)/4301 weeks
4031.52999 -3.24622 (403*2π)/4301 weeks
4042.26351 -2.6216 (404*2π)/4301 weeks
4052.57402 -2.34645 (405*2π)/4301 weeks
4061.31487 -2.26459 (406*2π)/4301 weeks
4071.13142 -3.07835 (407*2π)/4301 weeks
4081.23073 -2.20629 (408*2π)/4301 weeks
4091.06003 -2.56797 (409*2π)/4301 weeks
4101.26156 -3.46366 (410*2π)/4301 weeks
4111.37576 -3.62446 (411*2π)/4301 weeks
412.39419 -3.98059 (412*2π)/4301 weeks
413.97796 -3.71496 (413*2π)/4301 weeks
4141.42761 -3.84796 (414*2π)/4301 weeks
4152.00286 -4.92947 (415*2π)/4301 weeks
4162.92203 -4.05359 (416*2π)/4301 weeks
4171.52159 -3.41401 (417*2π)/4301 weeks
4181.70168 -4.95628 (418*2π)/4301 weeks
4191.9494 -5.90994 (419*2π)/4301 weeks
4202.62285 -5.46113 (420*2π)/4301 weeks
4212.24947 -8.14977 (421*2π)/4301 weeks
4223.83724 -8.36363 (422*2π)/4301 weeks
4234.32743 -6.32141 (423*2π)/4301 weeks
4243.16998 -6.63123 (424*2π)/4301 weeks
4251.93146 -8.12203 (425*2π)/4301 weeks
4265.20819 -13.18315 (426*2π)/4301 weeks
4277.33884 -13.09184 (427*2π)/4301 weeks
4288.4745 -15.397 (428*2π)/4301 weeks



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