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Fourier Analysis of SMK (PROSHARES ULTRASHORT MSCI MEXICO CAPPED IMI PROSHARES ULTRASHORT MSCI MEXICO CAPPED IMI)


SMK (PROSHARES ULTRASHORT MSCI MEXICO CAPPED IMI PROSHARES ULTRASHORT MSCI MEXICO CAPPED IMI) appears to have interesting cyclic behaviour every 40 weeks (6.1444*sine), 44 weeks (5.4541*sine), and 31 weeks (2.3301*cosine).

SMK (PROSHARES ULTRASHORT MSCI MEXICO CAPPED IMI PROSHARES ULTRASHORT MSCI MEXICO CAPPED IMI) has an average price of 43.38 (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 11/6/2017 for SMK (PROSHARES ULTRASHORT MSCI MEXICO CAPPED IMI PROSHARES ULTRASHORT MSCI MEXICO CAPPED IMI), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
043.38073   0 
124.42654 20.62798 (1*2π)/439439 weeks
27.44718 15.86287 (2*2π)/439220 weeks
36.60765 13.41988 (3*2π)/439146 weeks
44.93745 13.32521 (4*2π)/439110 weeks
51.08418 8.9764 (5*2π)/43988 weeks
62.56778 7.26526 (6*2π)/43973 weeks
73.77072 6.76096 (7*2π)/43963 weeks
84.16182 8.54184 (8*2π)/43955 weeks
92.66472 8.21936 (9*2π)/43949 weeks
101.72092 5.4541 (10*2π)/43944 weeks
111.76703 6.14442 (11*2π)/43940 weeks
121.18453 5.19981 (12*2π)/43937 weeks
13.65458 4.2992 (13*2π)/43934 weeks
142.33012 4.06219 (14*2π)/43931 weeks
152.02585 5.27228 (15*2π)/43929 weeks
16.85905 4.76924 (16*2π)/43927 weeks
171.04418 4.81465 (17*2π)/43926 weeks
181.33956 4.70882 (18*2π)/43924 weeks
191.36549 3.29704 (19*2π)/43923 weeks
201.09315 3.45733 (20*2π)/43922 weeks
21.55959 3.30209 (21*2π)/43921 weeks
221.0114 3.02771 (22*2π)/43920 weeks
231.87164 3.03678 (23*2π)/43919 weeks
241.07719 2.5793 (24*2π)/43918 weeks
251.60966 2.01139 (25*2π)/43918 weeks
261.99141 3.15657 (26*2π)/43917 weeks
272.23021 3.62226 (27*2π)/43916 weeks
281.58501 3.4159 (28*2π)/43916 weeks
291.65977 3.31009 (29*2π)/43915 weeks
301.18958 3.59484 (30*2π)/43915 weeks
31.56256 3.23304 (31*2π)/43914 weeks
32.32673 3.03525 (32*2π)/43914 weeks
33.41852 1.92671 (33*2π)/43913 weeks
341.48502 2.07104 (34*2π)/43913 weeks
35.88415 2.47951 (35*2π)/43913 weeks
361.0735 1.90113 (36*2π)/43912 weeks
371.31019 2.26985 (37*2π)/43912 weeks
381.0903 2.29104 (38*2π)/43912 weeks
39.72825 1.78499 (39*2π)/43911 weeks
401.18149 2.46843 (40*2π)/43911 weeks
41.69672 2.58595 (41*2π)/43911 weeks
42.73205 2.05769 (42*2π)/43910 weeks
43.71034 2.0282 (43*2π)/43910 weeks
44.78547 1.98685 (44*2π)/43910 weeks
45.26112 2.07826 (45*2π)/43910 weeks
46.40789 1.8474 (46*2π)/43910 weeks
47.38695 1.66152 (47*2π)/4399 weeks
48.5461 1.97482 (48*2π)/4399 weeks
49.05631 2.21056 (49*2π)/4399 weeks
50.04033 1.74609 (50*2π)/4399 weeks
51.13677 1.41842 (51*2π)/4399 weeks
52.41086 1.34448 (52*2π)/4398 weeks
53-.16525 1.19924 (53*2π)/4398 weeks
54.22302 .97437 (54*2π)/4398 weeks
55.44251 1.42832 (55*2π)/4398 weeks
56.34651 1.82859 (56*2π)/4398 weeks
57.09177 1.82149 (57*2π)/4398 weeks
58.13616 1.45438 (58*2π)/4398 weeks
59.34755 1.54538 (59*2π)/4397 weeks
60-.13186 1.40979 (60*2π)/4397 weeks
61-.47009 .7342 (61*2π)/4397 weeks
62.37435 .43173 (62*2π)/4397 weeks
63.63076 1.19916 (63*2π)/4397 weeks
64.42319 1.25478 (64*2π)/4397 weeks
65.32427 1.04582 (65*2π)/4397 weeks
66.66388 1.21858 (66*2π)/4397 weeks
67.38172 1.48474 (67*2π)/4397 weeks
68.30157 1.28123 (68*2π)/4396 weeks
69.3498 1.12183 (69*2π)/4396 weeks
70.24447 1.11894 (70*2π)/4396 weeks
71.2255 1.1765 (71*2π)/4396 weeks
72.26315 1.29431 (72*2π)/4396 weeks
73.2116 1.07027 (73*2π)/4396 weeks
74.10272 1.028 (74*2π)/4396 weeks
75-.16292 .94434 (75*2π)/4396 weeks
76-.05985 .61407 (76*2π)/4396 weeks
77.05239 .65902 (77*2π)/4396 weeks
78.39377 .52242 (78*2π)/4396 weeks
79.39173 .43873 (79*2π)/4396 weeks
80.4286 .30901 (80*2π)/4395 weeks
81.30211 .57436 (81*2π)/4395 weeks
82.6541 .57604 (82*2π)/4395 weeks
83.5154 .55068 (83*2π)/4395 weeks
84.64362 .54869 (84*2π)/4395 weeks
85.44188 .48902 (85*2π)/4395 weeks
86.67427 .43084 (86*2π)/4395 weeks
87.62283 .47369 (87*2π)/4395 weeks
88.57473 .38994 (88*2π)/4395 weeks
89.59351 .68659 (89*2π)/4395 weeks
90.7809 .79709 (90*2π)/4395 weeks
91.47046 .63808 (91*2π)/4395 weeks
92.58303 .39233 (92*2π)/4395 weeks
93.56902 .52826 (93*2π)/4395 weeks
94.5887 .60384 (94*2π)/4395 weeks
95.48028 .67177 (95*2π)/4395 weeks
96.55178 .49623 (96*2π)/4395 weeks
97.46886 .75628 (97*2π)/4395 weeks
98.388 .93351 (98*2π)/4394 weeks
99.12651 .98394 (99*2π)/4394 weeks
100.20055 .57661 (100*2π)/4394 weeks
101.21757 .70545 (101*2π)/4394 weeks
102-.09154 .54282 (102*2π)/4394 weeks
103-.15299 .29297 (103*2π)/4394 weeks
104.04062 .24029 (104*2π)/4394 weeks
105.15241 .25056 (105*2π)/4394 weeks
106.17566 .16299 (106*2π)/4394 weeks
107.29951 .13055 (107*2π)/4394 weeks
108.16799 .42538 (108*2π)/4394 weeks
109.20589 .07435 (109*2π)/4394 weeks
110.48444 -.04392 (110*2π)/4394 weeks
111.52358 -.07171 (111*2π)/4394 weeks
112.56841 .132 (112*2π)/4394 weeks
113.64451 .04989 (113*2π)/4394 weeks
114.86688 .05093 (114*2π)/4394 weeks
115.91028 .24801 (115*2π)/4394 weeks
116.73987 .42613 (116*2π)/4394 weeks
117.58697 .20805 (117*2π)/4394 weeks
118.83076 .31958 (118*2π)/4394 weeks
119.64838 .34442 (119*2π)/4394 weeks
120.69837 .25122 (120*2π)/4394 weeks
121.94118 .27667 (121*2π)/4394 weeks
122.94451 .55077 (122*2π)/4394 weeks
123.72358 .49222 (123*2π)/4394 weeks
124.81823 .38558 (124*2π)/4394 weeks
125.71778 .45446 (125*2π)/4394 weeks
126.66604 .51814 (126*2π)/4393 weeks
127.42215 .5055 (127*2π)/4393 weeks
128.48149 .23516 (128*2π)/4393 weeks
129.50926 .3328 (129*2π)/4393 weeks
130.65485 .26702 (130*2π)/4393 weeks
131.71966 .22203 (131*2π)/4393 weeks
132.63435 .22436 (132*2π)/4393 weeks
133.5857 .15705 (133*2π)/4393 weeks
134.74745 .11609 (134*2π)/4393 weeks
135.70658 .28737 (135*2π)/4393 weeks
136.59747 .2088 (136*2π)/4393 weeks
137.65595 .19493 (137*2π)/4393 weeks
138.74841 .21791 (138*2π)/4393 weeks
139.73956 .26826 (139*2π)/4393 weeks
140.56525 .16795 (140*2π)/4393 weeks
141.70907 .17539 (141*2π)/4393 weeks
142.7689 .33466 (142*2π)/4393 weeks
143.59007 .26836 (143*2π)/4393 weeks
144.58448 .29684 (144*2π)/4393 weeks
145.67945 .26518 (145*2π)/4393 weeks
146.55102 .35742 (146*2π)/4393 weeks
147.45816 .26294 (147*2π)/4393 weeks
148.51625 .23292 (148*2π)/4393 weeks
149.55909 .29427 (149*2π)/4393 weeks
150.53532 .23915 (150*2π)/4393 weeks
151.59703 -.10861 (151*2π)/4393 weeks
152.61736 .121 (152*2π)/4393 weeks
153.70215 .17995 (153*2π)/4393 weeks
154.77533 -.01972 (154*2π)/4393 weeks
155.94553 .20062 (155*2π)/4393 weeks
156.92591 .57895 (156*2π)/4393 weeks
157.81502 .4362 (157*2π)/4393 weeks
158.86515 .39837 (158*2π)/4393 weeks
159.77952 .45425 (159*2π)/4393 weeks
160.60463 .59023 (160*2π)/4393 weeks
161.50885 .29989 (161*2π)/4393 weeks
162.85527 .32222 (162*2π)/4393 weeks
163.78501 .52197 (163*2π)/4393 weeks
164.57013 .58724 (164*2π)/4393 weeks
165.6026 .46239 (165*2π)/4393 weeks
166.56551 .49974 (166*2π)/4393 weeks
167.45066 .52904 (167*2π)/4393 weeks
168.49623 .29073 (168*2π)/4393 weeks
169.56943 .1845 (169*2π)/4393 weeks
170.62852 .09431 (170*2π)/4393 weeks
171.57785 .46469 (171*2π)/4393 weeks
172.62775 .25931 (172*2π)/4393 weeks
173.79119 .33315 (173*2π)/4393 weeks
174.6927 .41715 (174*2π)/4393 weeks
175.54503 .41369 (175*2π)/4393 weeks
176.55322 .30947 (176*2π)/4392 weeks
177.44903 .36333 (177*2π)/4392 weeks
178.37498 .21337 (178*2π)/4392 weeks
179.4865 .1718 (179*2π)/4392 weeks
180.50882 .35259 (180*2π)/4392 weeks
181.52606 .2171 (181*2π)/4392 weeks
182.58111 .10023 (182*2π)/4392 weeks
183.61954 .29656 (183*2π)/4392 weeks
184.5195 .35134 (184*2π)/4392 weeks
185.51876 .31713 (185*2π)/4392 weeks
186.45657 .22821 (186*2π)/4392 weeks
187.32364 .19883 (187*2π)/4392 weeks
188.31547 .11942 (188*2π)/4392 weeks
189.27194 .18974 (189*2π)/4392 weeks
190.45583 .13463 (190*2π)/4392 weeks
191.42914 .23126 (191*2π)/4392 weeks
192.23228 .0165 (192*2π)/4392 weeks
193.50266 .03823 (193*2π)/4392 weeks
194.49212 .33733 (194*2π)/4392 weeks
195.24364 .20061 (195*2π)/4392 weeks
196.24233 -.01411 (196*2π)/4392 weeks
197.41491 -.06373 (197*2π)/4392 weeks
198.30825 .23522 (198*2π)/4392 weeks
199.27197 .05168 (199*2π)/4392 weeks
200.38259 -.0001 (200*2π)/4392 weeks
201.51381 -.07228 (201*2π)/4392 weeks
202.46749 .01938 (202*2π)/4392 weeks
203.46343 .01185 (203*2π)/4392 weeks
204.70657 .04065 (204*2π)/4392 weeks
205.68682 .11799 (205*2π)/4392 weeks
206.42389 .24941 (206*2π)/4392 weeks
207.23753 .07877 (207*2π)/4392 weeks
208.44431 -.07999 (208*2π)/4392 weeks
209.54679 -.0258 (209*2π)/4392 weeks
210.70718 .01465 (210*2π)/4392 weeks
211.60547 .0575 (211*2π)/4392 weeks
212.56074 .15476 (212*2π)/4392 weeks
213.49504 .41058 (213*2π)/4392 weeks
214.31639 .15903 (214*2π)/4392 weeks
215.2809 -.02657 (215*2π)/4392 weeks
216.46898 -.14237 (216*2π)/4392 weeks
217.45732 -.10509 (217*2π)/4392 weeks
218.52168 -.31634 (218*2π)/4392 weeks
219.8698 -.0827 (219*2π)/4392 weeks
220.8698 .0827 (220*2π)/4392 weeks
221.52168 .31634 (221*2π)/4392 weeks
222.45732 .10509 (222*2π)/4392 weeks
223.46898 .14237 (223*2π)/4392 weeks
224.2809 .02657 (224*2π)/4392 weeks
225.31639 -.15903 (225*2π)/4392 weeks
226.49504 -.41058 (226*2π)/4392 weeks
227.56074 -.15476 (227*2π)/4392 weeks
228.60547 -.0575 (228*2π)/4392 weeks
229.70718 -.01465 (229*2π)/4392 weeks
230.54679 .0258 (230*2π)/4392 weeks
231.44431 .07999 (231*2π)/4392 weeks
232.23753 -.07877 (232*2π)/4392 weeks
233.42389 -.24941 (233*2π)/4392 weeks
234.68682 -.11799 (234*2π)/4392 weeks
235.70657 -.04065 (235*2π)/4392 weeks
236.46343 -.01185 (236*2π)/4392 weeks
237.46749 -.01938 (237*2π)/4392 weeks
238.51381 .07228 (238*2π)/4392 weeks
239.38259 .0001 (239*2π)/4392 weeks
240.27197 -.05168 (240*2π)/4392 weeks
241.30825 -.23522 (241*2π)/4392 weeks
242.41491 .06373 (242*2π)/4392 weeks
243.24233 .01411 (243*2π)/4392 weeks
244.24364 -.20061 (244*2π)/4392 weeks
245.49212 -.33733 (245*2π)/4392 weeks
246.50266 -.03823 (246*2π)/4392 weeks
247.23228 -.0165 (247*2π)/4392 weeks
248.42914 -.23126 (248*2π)/4392 weeks
249.45583 -.13463 (249*2π)/4392 weeks
250.27194 -.18974 (250*2π)/4392 weeks
251.31547 -.11942 (251*2π)/4392 weeks
252.32364 -.19883 (252*2π)/4392 weeks
253.45657 -.22821 (253*2π)/4392 weeks
254.51876 -.31713 (254*2π)/4392 weeks
255.5195 -.35134 (255*2π)/4392 weeks
256.61954 -.29656 (256*2π)/4392 weeks
257.58111 -.10023 (257*2π)/4392 weeks
258.52606 -.2171 (258*2π)/4392 weeks
259.50882 -.35259 (259*2π)/4392 weeks
260.4865 -.1718 (260*2π)/4392 weeks
261.37498 -.21337 (261*2π)/4392 weeks
262.44903 -.36333 (262*2π)/4392 weeks
263.55322 -.30947 (263*2π)/4392 weeks
264.54503 -.41369 (264*2π)/4392 weeks
265.6927 -.41715 (265*2π)/4392 weeks
266.79119 -.33315 (266*2π)/4392 weeks
267.62775 -.25931 (267*2π)/4392 weeks
268.57785 -.46469 (268*2π)/4392 weeks
269.62852 -.09431 (269*2π)/4392 weeks
270.56943 -.1845 (270*2π)/4392 weeks
271.49623 -.29073 (271*2π)/4392 weeks
272.45066 -.52904 (272*2π)/4392 weeks
273.56551 -.49974 (273*2π)/4392 weeks
274.6026 -.46239 (274*2π)/4392 weeks
275.57013 -.58724 (275*2π)/4392 weeks
276.78501 -.52197 (276*2π)/4392 weeks
277.85527 -.32222 (277*2π)/4392 weeks
278.50885 -.29989 (278*2π)/4392 weeks
279.60463 -.59023 (279*2π)/4392 weeks
280.77952 -.45425 (280*2π)/4392 weeks
281.86515 -.39837 (281*2π)/4392 weeks
282.81502 -.4362 (282*2π)/4392 weeks
283.92591 -.57895 (283*2π)/4392 weeks
284.94553 -.20062 (284*2π)/4392 weeks
285.77533 .01972 (285*2π)/4392 weeks
286.70215 -.17995 (286*2π)/4392 weeks
287.61736 -.121 (287*2π)/4392 weeks
288.59703 .10861 (288*2π)/4392 weeks
289.53532 -.23915 (289*2π)/4392 weeks
290.55909 -.29427 (290*2π)/4392 weeks
291.51625 -.23292 (291*2π)/4392 weeks
292.45816 -.26294 (292*2π)/4392 weeks
293.55102 -.35742 (293*2π)/4391 weeks
294.67945 -.26518 (294*2π)/4391 weeks
295.58448 -.29684 (295*2π)/4391 weeks
296.59007 -.26836 (296*2π)/4391 weeks
297.7689 -.33466 (297*2π)/4391 weeks
298.70907 -.17539 (298*2π)/4391 weeks
299.56525 -.16795 (299*2π)/4391 weeks
300.73956 -.26826 (300*2π)/4391 weeks
301.74841 -.21791 (301*2π)/4391 weeks
302.65595 -.19493 (302*2π)/4391 weeks
303.59747 -.2088 (303*2π)/4391 weeks
304.70658 -.28737 (304*2π)/4391 weeks
305.74745 -.11609 (305*2π)/4391 weeks
306.5857 -.15705 (306*2π)/4391 weeks
307.63435 -.22436 (307*2π)/4391 weeks
308.71966 -.22203 (308*2π)/4391 weeks
309.65485 -.26702 (309*2π)/4391 weeks
310.50926 -.3328 (310*2π)/4391 weeks
311.48149 -.23516 (311*2π)/4391 weeks
312.42215 -.5055 (312*2π)/4391 weeks
313.66604 -.51814 (313*2π)/4391 weeks
314.71778 -.45446 (314*2π)/4391 weeks
315.81823 -.38558 (315*2π)/4391 weeks
316.72358 -.49222 (316*2π)/4391 weeks
317.94451 -.55077 (317*2π)/4391 weeks
318.94118 -.27667 (318*2π)/4391 weeks
319.69837 -.25122 (319*2π)/4391 weeks
320.64838 -.34442 (320*2π)/4391 weeks
321.83076 -.31958 (321*2π)/4391 weeks
322.58697 -.20805 (322*2π)/4391 weeks
323.73987 -.42613 (323*2π)/4391 weeks
324.91028 -.24801 (324*2π)/4391 weeks
325.86688 -.05093 (325*2π)/4391 weeks
326.64451 -.04989 (326*2π)/4391 weeks
327.56841 -.132 (327*2π)/4391 weeks
328.52358 .07171 (328*2π)/4391 weeks
329.48444 .04392 (329*2π)/4391 weeks
330.20589 -.07435 (330*2π)/4391 weeks
331.16799 -.42538 (331*2π)/4391 weeks
332.29951 -.13055 (332*2π)/4391 weeks
333.17566 -.16299 (333*2π)/4391 weeks
334.15241 -.25056 (334*2π)/4391 weeks
335.04062 -.24029 (335*2π)/4391 weeks
336-.15299 -.29297 (336*2π)/4391 weeks
337-.09154 -.54282 (337*2π)/4391 weeks
338.21757 -.70545 (338*2π)/4391 weeks
339.20055 -.57661 (339*2π)/4391 weeks
340.12651 -.98394 (340*2π)/4391 weeks
341.388 -.93351 (341*2π)/4391 weeks
342.46886 -.75628 (342*2π)/4391 weeks
343.55178 -.49623 (343*2π)/4391 weeks
344.48028 -.67177 (344*2π)/4391 weeks
345.5887 -.60384 (345*2π)/4391 weeks
346.56902 -.52826 (346*2π)/4391 weeks
347.58303 -.39233 (347*2π)/4391 weeks
348.47046 -.63808 (348*2π)/4391 weeks
349.7809 -.79709 (349*2π)/4391 weeks
350.59351 -.68659 (350*2π)/4391 weeks
351.57473 -.38994 (351*2π)/4391 weeks
352.62283 -.47369 (352*2π)/4391 weeks
353.67427 -.43084 (353*2π)/4391 weeks
354.44188 -.48902 (354*2π)/4391 weeks
355.64362 -.54869 (355*2π)/4391 weeks
356.5154 -.55068 (356*2π)/4391 weeks
357.6541 -.57604 (357*2π)/4391 weeks
358.30211 -.57436 (358*2π)/4391 weeks
359.4286 -.30901 (359*2π)/4391 weeks
360.39173 -.43873 (360*2π)/4391 weeks
361.39377 -.52242 (361*2π)/4391 weeks
362.05239 -.65902 (362*2π)/4391 weeks
363-.05985 -.61407 (363*2π)/4391 weeks
364-.16292 -.94434 (364*2π)/4391 weeks
365.10272 -1.028 (365*2π)/4391 weeks
366.2116 -1.07027 (366*2π)/4391 weeks
367.26315 -1.29431 (367*2π)/4391 weeks
368.2255 -1.1765 (368*2π)/4391 weeks
369.24447 -1.11894 (369*2π)/4391 weeks
370.3498 -1.12183 (370*2π)/4391 weeks
371.30157 -1.28123 (371*2π)/4391 weeks
372.38172 -1.48474 (372*2π)/4391 weeks
373.66388 -1.21858 (373*2π)/4391 weeks
374.32427 -1.04582 (374*2π)/4391 weeks
375.42319 -1.25478 (375*2π)/4391 weeks
376.63076 -1.19916 (376*2π)/4391 weeks
377.37435 -.43173 (377*2π)/4391 weeks
378-.47009 -.7342 (378*2π)/4391 weeks
379-.13186 -1.40979 (379*2π)/4391 weeks
380.34755 -1.54538 (380*2π)/4391 weeks
381.13616 -1.45438 (381*2π)/4391 weeks
382.09177 -1.82149 (382*2π)/4391 weeks
383.34651 -1.82859 (383*2π)/4391 weeks
384.44251 -1.42832 (384*2π)/4391 weeks
385.22302 -.97437 (385*2π)/4391 weeks
386-.16525 -1.19924 (386*2π)/4391 weeks
387.41086 -1.34448 (387*2π)/4391 weeks
388.13677 -1.41842 (388*2π)/4391 weeks
389.04033 -1.74609 (389*2π)/4391 weeks
390.05631 -2.21056 (390*2π)/4391 weeks
391.5461 -1.97482 (391*2π)/4391 weeks
392.38695 -1.66152 (392*2π)/4391 weeks
393.40789 -1.8474 (393*2π)/4391 weeks
394.26112 -2.07826 (394*2π)/4391 weeks
395.78547 -1.98685 (395*2π)/4391 weeks
396.71034 -2.0282 (396*2π)/4391 weeks
397.73205 -2.05769 (397*2π)/4391 weeks
398.69672 -2.58595 (398*2π)/4391 weeks
3991.18149 -2.46843 (399*2π)/4391 weeks
400.72825 -1.78499 (400*2π)/4391 weeks
4011.0903 -2.29104 (401*2π)/4391 weeks
4021.31019 -2.26985 (402*2π)/4391 weeks
4031.0735 -1.90113 (403*2π)/4391 weeks
404.88415 -2.47951 (404*2π)/4391 weeks
4051.48502 -2.07104 (405*2π)/4391 weeks
406.41852 -1.92671 (406*2π)/4391 weeks
407.32673 -3.03525 (407*2π)/4391 weeks
408.56256 -3.23304 (408*2π)/4391 weeks
4091.18958 -3.59484 (409*2π)/4391 weeks
4101.65977 -3.31009 (410*2π)/4391 weeks
4111.58501 -3.4159 (411*2π)/4391 weeks
4122.23021 -3.62226 (412*2π)/4391 weeks
4131.99141 -3.15657 (413*2π)/4391 weeks
4141.60966 -2.01139 (414*2π)/4391 weeks
4151.07719 -2.5793 (415*2π)/4391 weeks
4161.87164 -3.03678 (416*2π)/4391 weeks
4171.0114 -3.02771 (417*2π)/4391 weeks
418.55959 -3.30209 (418*2π)/4391 weeks
4191.09315 -3.45733 (419*2π)/4391 weeks
4201.36549 -3.29704 (420*2π)/4391 weeks
4211.33956 -4.70882 (421*2π)/4391 weeks
4221.04418 -4.81465 (422*2π)/4391 weeks
423.85905 -4.76924 (423*2π)/4391 weeks
4242.02585 -5.27228 (424*2π)/4391 weeks
4252.33012 -4.06219 (425*2π)/4391 weeks
426.65458 -4.2992 (426*2π)/4391 weeks
4271.18453 -5.19981 (427*2π)/4391 weeks
4281.76703 -6.14442 (428*2π)/4391 weeks
4291.72092 -5.4541 (429*2π)/4391 weeks
4302.66472 -8.21936 (430*2π)/4391 weeks
4314.16182 -8.54184 (431*2π)/4391 weeks
4323.77072 -6.76096 (432*2π)/4391 weeks
4332.56778 -7.26526 (433*2π)/4391 weeks
4341.08418 -8.9764 (434*2π)/4391 weeks
4354.93745 -13.32521 (435*2π)/4391 weeks
4366.60765 -13.41988 (436*2π)/4391 weeks
4377.44718 -15.86287 (437*2π)/4391 weeks



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