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Fourier Analysis of DOG (PROSHARES SHORT DOW30 PROSHARES SHORT DOW30)

DOG (PROSHARES SHORT DOW30 PROSHARES SHORT DOW30) appears to have interesting cyclic behaviour every 61 weeks (2.1652*sine), 44 weeks (1.2035*sine), and 51 weeks (.9855*sine).

DOG (PROSHARES SHORT DOW30 PROSHARES SHORT DOW30) has an average price of 38.63 (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.

Fourier Analysis

Using data from 6/21/2006 to 3/12/2018 for DOG (PROSHARES SHORT DOW30 PROSHARES SHORT DOW30), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
038.62576   0
1-.0071 20.2404 (1*2π)/613613 weeks
2-4.16731 5.75192 (2*2π)/613307 weeks
3-1.39807 1.1104 (3*2π)/613204 weeks
42.30091 2.1031 (4*2π)/613153 weeks
51.69089 3.93646 (5*2π)/613123 weeks
6-.23997 3.55422 (6*2π)/613102 weeks
7-1.01403 1.48243 (7*2π)/61388 weeks
8.27987 .64608 (8*2π)/61377 weeks
91.27868 2.04033 (9*2π)/61368 weeks
10-.46158 2.16517 (10*2π)/61361 weeks
11-.16922 .9635 (11*2π)/61356 weeks
12-.28124 .98546 (12*2π)/61351 weeks
13.37611 .66502 (13*2π)/61347 weeks
14.46369 1.20349 (14*2π)/61344 weeks
15.0939 1.11055 (15*2π)/61341 weeks
16.21625 1.0161 (16*2π)/61338 weeks
17.06905 .83183 (17*2π)/61336 weeks
18.31395 .95439 (18*2π)/61334 weeks
19-.22622 .60983 (19*2π)/61332 weeks
20.27634 .64324 (20*2π)/61331 weeks
21.09332 .76805 (21*2π)/61329 weeks
22.20353 .84894 (22*2π)/61328 weeks
23.12496 .85974 (23*2π)/61327 weeks
24-.14677 .64662 (24*2π)/61326 weeks
25-.11479 .35242 (25*2π)/61325 weeks
26.16826 .65767 (26*2π)/61324 weeks
27.06647 .57505 (27*2π)/61323 weeks
28-.16275 .32845 (28*2π)/61322 weeks
29.27271 -.00522 (29*2π)/61321 weeks
30.30754 .59655 (30*2π)/61320 weeks
31.15589 .75379 (31*2π)/61320 weeks
32-.09213 .73661 (32*2π)/61319 weeks
33-.1465 .18716 (33*2π)/61319 weeks
34.29134 -.00017 (34*2π)/61318 weeks
35.4442 .44106 (35*2π)/61318 weeks
36.09053 .97455 (36*2π)/61317 weeks
37-.46885 .63188 (37*2π)/61317 weeks
38-.11545 -.08517 (38*2π)/61316 weeks
39.32955 .17409 (39*2π)/61316 weeks
40.2304 .44206 (40*2π)/61315 weeks
41-.01622 .46394 (41*2π)/61315 weeks
42.03516 .2575 (42*2π)/61315 weeks
43.04501 .27458 (43*2π)/61314 weeks
44.05339 .22244 (44*2π)/61314 weeks
45.20714 .28321 (45*2π)/61314 weeks
46-.03056 .37661 (46*2π)/61313 weeks
47.09965 .19336 (47*2π)/61313 weeks
48.08916 .39983 (48*2π)/61313 weeks
49.01969 .16084 (49*2π)/61313 weeks
50.13845 .27978 (50*2π)/61312 weeks
51.16014 .25077 (51*2π)/61312 weeks
52.20624 .32801 (52*2π)/61312 weeks
53-.05342 .33687 (53*2π)/61312 weeks
54-.01655 .34651 (54*2π)/61311 weeks
55-.02115 .21155 (55*2π)/61311 weeks
56.01241 .14072 (56*2π)/61311 weeks
57.09993 .22808 (57*2π)/61311 weeks
58-.03327 .26565 (58*2π)/61311 weeks
59.07159 .18881 (59*2π)/61310 weeks
60.118 .12825 (60*2π)/61310 weeks
61.26263 .20654 (61*2π)/61310 weeks
62.15682 .43435 (62*2π)/61310 weeks
63-.17822 .29882 (63*2π)/61310 weeks
64-.03985 .08971 (64*2π)/61310 weeks
65.15066 .11542 (65*2π)/6139 weeks
66.15986 .2229 (66*2π)/6139 weeks
67.04021 .34389 (67*2π)/6139 weeks
68-.05216 .13977 (68*2π)/6139 weeks
69.18422 .11862 (69*2π)/6139 weeks
70.09813 .27613 (70*2π)/6139 weeks
71.03121 .31933 (71*2π)/6139 weeks
72-.06221 .15126 (72*2π)/6139 weeks
73.01482 .04891 (73*2π)/6138 weeks
74.14204 .25454 (74*2π)/6138 weeks
75.08177 .11844 (75*2π)/6138 weeks
76.03369 .25737 (76*2π)/6138 weeks
77.05969 .07939 (77*2π)/6138 weeks
78.10339 .27931 (78*2π)/6138 weeks
79-.07903 .23155 (79*2π)/6138 weeks
80-.04356 .00936 (80*2π)/6138 weeks
81.14404 .05606 (81*2π)/6138 weeks
82.24967 .20578 (82*2π)/6137 weeks
83.01741 .29467 (83*2π)/6137 weeks
84-.05238 .10907 (84*2π)/6137 weeks
85.1181 .16306 (85*2π)/6137 weeks
86.04148 .05418 (86*2π)/6137 weeks
87.22484 .20264 (87*2π)/6137 weeks
88-.03761 .3151 (88*2π)/6137 weeks
89-.06588 .09254 (89*2π)/6137 weeks
90.02938 .04445 (90*2π)/6137 weeks
91.16211 .06145 (91*2π)/6137 weeks
92.10587 .24494 (92*2π)/6137 weeks
93.05463 .20075 (93*2π)/6137 weeks
94-.06654 .15752 (94*2π)/6137 weeks
95.04229 -.03969 (95*2π)/6136 weeks
96.21663 .09981 (96*2π)/6136 weeks
97.17602 .20192 (97*2π)/6136 weeks
98-.00807 .22642 (98*2π)/6136 weeks
99-.00749 .13253 (99*2π)/6136 weeks
100.08782 .05511 (100*2π)/6136 weeks
101.16694 .12788 (101*2π)/6136 weeks
102.0533 .1736 (102*2π)/6136 weeks
103.0154 .09131 (103*2π)/6136 weeks
104.10171 .03251 (104*2π)/6136 weeks
105.13342 .19416 (105*2π)/6136 weeks
106-.00653 .13669 (106*2π)/6136 weeks
107.09286 .09289 (107*2π)/6136 weeks
108.13787 .13598 (108*2π)/6136 weeks
109.04271 .18318 (109*2π)/6136 weeks
110-.03182 .10775 (110*2π)/6136 weeks
111.00593 .00676 (111*2π)/6136 weeks
112.10222 .06861 (112*2π)/6135 weeks
113.14454 .16548 (113*2π)/6135 weeks
114.00619 .1441 (114*2π)/6135 weeks
115-.03947 .027 (115*2π)/6135 weeks
116.10655 -.04032 (116*2π)/6135 weeks
117.21695 .06848 (117*2π)/6135 weeks
118.10816 .25205 (118*2π)/6135 weeks
119.01053 .16664 (119*2π)/6135 weeks
120-.05291 .06538 (120*2π)/6135 weeks
121.03999 -.03525 (121*2π)/6135 weeks
122.14564 .08957 (122*2π)/6135 weeks
123.10958 .18105 (123*2π)/6135 weeks
124-.019 .12241 (124*2π)/6135 weeks
125-.00779 .02017 (125*2π)/6135 weeks
126.06269 -.00228 (126*2π)/6135 weeks
127.17479 .02134 (127*2π)/6135 weeks
128.12239 .19283 (128*2π)/6135 weeks
129.01273 .13588 (129*2π)/6135 weeks
130.00135 .01488 (130*2π)/6135 weeks
131.04501 -.00297 (131*2π)/6135 weeks
132.1351 .04595 (132*2π)/6135 weeks
133.09656 .15851 (133*2π)/6135 weeks
134.05561 .11194 (134*2π)/6135 weeks
135.01929 .00011 (135*2π)/6135 weeks
136.13933 .01136 (136*2π)/6135 weeks
137.17379 .13703 (137*2π)/6134 weeks
138.01079 .18514 (138*2π)/6134 weeks
139.01259 .07926 (139*2π)/6134 weeks
140.06092 .01813 (140*2π)/6134 weeks
141.07937 .0584 (141*2π)/6134 weeks
142.0594 .06386 (142*2π)/6134 weeks
143.09413 .0889 (143*2π)/6134 weeks
144.04564 .10432 (144*2π)/6134 weeks
145.01548 .04006 (145*2π)/6134 weeks
146.10754 .03034 (146*2π)/6134 weeks
147.06411 .08929 (147*2π)/6134 weeks
148-.01436 .04514 (148*2π)/6134 weeks
149.06558 .00685 (149*2π)/6134 weeks
150.13611 .05525 (150*2π)/6134 weeks
151.14615 .04889 (151*2π)/6134 weeks
152.07845 .12639 (152*2π)/6134 weeks
153.01188 .07822 (153*2π)/6134 weeks
154.08063 .07294 (154*2π)/6134 weeks
155.04584 .05893 (155*2π)/6134 weeks
156.07687 .00514 (156*2π)/6134 weeks
157.08946 .00464 (157*2π)/6134 weeks
158.14868 .10197 (158*2π)/6134 weeks
159-.00076 .13668 (159*2π)/6134 weeks
160.04621 .00337 (160*2π)/6134 weeks
161.1519 .05531 (161*2π)/6134 weeks
162.08038 .07312 (162*2π)/6134 weeks
163.05113 .05766 (163*2π)/6134 weeks
164.0707 .04097 (164*2π)/6134 weeks
165.12536 .06627 (165*2π)/6134 weeks
166.07804 .07386 (166*2π)/6134 weeks
167.06298 .10185 (167*2π)/6134 weeks
168.01492 .04588 (168*2π)/6134 weeks
169.11305 .00643 (169*2π)/6134 weeks
170.09512 .09249 (170*2π)/6134 weeks
171.06799 .06002 (171*2π)/6134 weeks
172.06733 .04305 (172*2π)/6134 weeks
173.11301 .03695 (173*2π)/6134 weeks
174.06621 .08359 (174*2π)/6134 weeks
175.06103 .05949 (175*2π)/6134 weeks
176.1131 .08229 (176*2π)/6133 weeks
177.0148 .04835 (177*2π)/6133 weeks
178.12593 .01347 (178*2π)/6133 weeks
179.09642 .07003 (179*2π)/6133 weeks
180.06581 .03913 (180*2π)/6133 weeks
181.09 .04092 (181*2π)/6133 weeks
182.09562 .04092 (182*2π)/6133 weeks
183.03826 .03757 (183*2π)/6133 weeks
184.11366 .02535 (184*2π)/6133 weeks
185.09452 .02629 (185*2π)/6133 weeks
186.15175 .08781 (186*2π)/6133 weeks
187.07527 .09759 (187*2π)/6133 weeks
188.05632 .05944 (188*2π)/6133 weeks
189.07598 .03927 (189*2π)/6133 weeks
190.11024 .05931 (190*2π)/6133 weeks
191.07772 .05802 (191*2π)/6133 weeks
192.04791 .05049 (192*2π)/6133 weeks
193.10716 .04097 (193*2π)/6133 weeks
194.10533 .03894 (194*2π)/6133 weeks
195.12136 .0642 (195*2π)/6133 weeks
196.08596 .08408 (196*2π)/6133 weeks
197.06215 .08454 (197*2π)/6133 weeks
198.03829 .06641 (198*2π)/6133 weeks
199.05464 -.00295 (199*2π)/6133 weeks
200.11083 .02156 (200*2π)/6133 weeks
201.1131 .06293 (201*2π)/6133 weeks
202.06146 .08803 (202*2π)/6133 weeks
203.02817 .01243 (203*2π)/6133 weeks
204.09998 .01896 (204*2π)/6133 weeks
205.11376 .01265 (205*2π)/6133 weeks
206.10024 .08514 (206*2π)/6133 weeks
207.05378 .05799 (207*2π)/6133 weeks
208.06936 .06655 (208*2π)/6133 weeks
209.06948 .01884 (209*2π)/6133 weeks
210.09026 .05096 (210*2π)/6133 weeks
211.027 .04733 (211*2π)/6133 weeks
212.07424 .01457 (212*2π)/6133 weeks
213.08685 .00093 (213*2π)/6133 weeks
214.11868 .00699 (214*2π)/6133 weeks
215.0885 .06039 (215*2π)/6133 weeks
216.11886 .04311 (216*2π)/6133 weeks
217.05719 .12326 (217*2π)/6133 weeks
218-.00559 -.03305 (218*2π)/6133 weeks
219.09956 .01663 (219*2π)/6133 weeks
220.08122 .01154 (220*2π)/6133 weeks
221.09773 .03469 (221*2π)/6133 weeks
222.07442 .03535 (222*2π)/6133 weeks
223.12572 .01451 (223*2π)/6133 weeks
224.05387 .0617 (224*2π)/6133 weeks
225.10633 .01038 (225*2π)/6133 weeks
226.05116 .10836 (226*2π)/6133 weeks
227.02932 .0294 (227*2π)/6133 weeks
228.03847 .05459 (228*2π)/6133 weeks
229.0489 -.03176 (229*2π)/6133 weeks
230.13757 -.026 (230*2π)/6133 weeks
231.10721 .09268 (231*2π)/6133 weeks
232.02175 .0867 (232*2π)/6133 weeks
233-.00934 -.00334 (233*2π)/6133 weeks
234.08522 -.05058 (234*2π)/6133 weeks
235.13138 .05783 (235*2π)/6133 weeks
236.07244 .07508 (236*2π)/6133 weeks
237.01442 .05141 (237*2π)/6133 weeks
238-.00401 -.06283 (238*2π)/6133 weeks
239.1759 -.02897 (239*2π)/6133 weeks
240.14138 .08218 (240*2π)/6133 weeks
241.04602 .08932 (241*2π)/6133 weeks
242.00373 .00872 (242*2π)/6133 weeks
243.06955 -.01116 (243*2π)/6133 weeks
244.08402 .02922 (244*2π)/6133 weeks
245.06608 .00191 (245*2π)/6133 weeks
246.09748 .01565 (246*2π)/6132 weeks
247.07877 .06419 (247*2π)/6132 weeks
248.06788 .02366 (248*2π)/6132 weeks
249.06094 .05777 (249*2π)/6132 weeks
250-.00496 .00873 (250*2π)/6132 weeks
251.07777 -.03987 (251*2π)/6132 weeks
252.07303 .00436 (252*2π)/6132 weeks
253.08382 .04929 (253*2π)/6132 weeks
254.00991 .02209 (254*2π)/6132 weeks
255.09424 -.06272 (255*2π)/6132 weeks
256.10182 -.01075 (256*2π)/6132 weeks
257.10516 .004 (257*2π)/6132 weeks
258.08972 .07659 (258*2π)/6132 weeks
259.04588 .03295 (259*2π)/6132 weeks
260.06125 -.01046 (260*2π)/6132 weeks
261.11586 -.00978 (261*2π)/6132 weeks
262.12246 .06085 (262*2π)/6132 weeks
263.03962 .0827 (263*2π)/6132 weeks
264.00853 -.00999 (264*2π)/6132 weeks
265.07404 -.0371 (265*2π)/6132 weeks
266.11808 -.02847 (266*2π)/6132 weeks
267.08102 .08524 (267*2π)/6132 weeks
268.04637 .01388 (268*2π)/6132 weeks
269.05498 .017 (269*2π)/6132 weeks
270.07581 -.03595 (270*2π)/6132 weeks
271.08947 .03486 (271*2π)/6132 weeks
272.05777 .00163 (272*2π)/6132 weeks
273.08745 .00917 (273*2π)/6132 weeks
274.05495 -.01294 (274*2π)/6132 weeks
275.08673 -.03311 (275*2π)/6132 weeks
276.11357 .05618 (276*2π)/6132 weeks
277.10627 .03116 (277*2π)/6132 weeks
278.03834 .05703 (278*2π)/6132 weeks
279.01395 -.00133 (279*2π)/6132 weeks
280.09243 -.03802 (280*2π)/6132 weeks
281.12649 -.01563 (281*2π)/6132 weeks
282.11757 .05051 (282*2π)/6132 weeks
283.09291 .08393 (283*2π)/6132 weeks
284.01065 .04066 (284*2π)/6132 weeks
285-.01608 -.03081 (285*2π)/6132 weeks
286.11951 -.08344 (286*2π)/6132 weeks
287.1399 .05128 (287*2π)/6132 weeks
288.06333 .05519 (288*2π)/6132 weeks
289.05199 .04302 (289*2π)/6132 weeks
290.03399 -.03853 (290*2π)/6132 weeks
291.12505 -.0505 (291*2π)/6132 weeks
292.13657 .04705 (292*2π)/6132 weeks
293.01674 .07276 (293*2π)/6132 weeks
294.04944 .00587 (294*2π)/6132 weeks
295.08845 -.01346 (295*2π)/6132 weeks
296.10583 .01618 (296*2π)/6132 weeks
297.06484 .04402 (297*2π)/6132 weeks
298.02813 .0852 (298*2π)/6132 weeks
299-.02214 -.02332 (299*2π)/6132 weeks
300.10977 -.08785 (300*2π)/6132 weeks
301.0965 .01176 (301*2π)/6132 weeks
302.03486 .03457 (302*2π)/6132 weeks
303.0265 .01961 (303*2π)/6132 weeks
304.05872 -.0281 (304*2π)/6132 weeks
305.06498 -.02757 (305*2π)/6132 weeks
306.11409 -.06278 (306*2π)/6132 weeks
307.11409 .06278 (307*2π)/6132 weeks
308.06498 .02757 (308*2π)/6132 weeks
309.05872 .0281 (309*2π)/6132 weeks
310.0265 -.01961 (310*2π)/6132 weeks
311.03486 -.03457 (311*2π)/6132 weeks
312.0965 -.01176 (312*2π)/6132 weeks
313.10977 .08785 (313*2π)/6132 weeks
314-.02214 .02332 (314*2π)/6132 weeks
315.02813 -.0852 (315*2π)/6132 weeks
316.06484 -.04402 (316*2π)/6132 weeks
317.10583 -.01618 (317*2π)/6132 weeks
318.08845 .01346 (318*2π)/6132 weeks
319.04944 -.00587 (319*2π)/6132 weeks
320.01674 -.07276 (320*2π)/6132 weeks
321.13657 -.04705 (321*2π)/6132 weeks
322.12505 .0505 (322*2π)/6132 weeks
323.03399 .03853 (323*2π)/6132 weeks
324.05199 -.04302 (324*2π)/6132 weeks
325.06333 -.05519 (325*2π)/6132 weeks
326.1399 -.05128 (326*2π)/6132 weeks
327.11951 .08344 (327*2π)/6132 weeks
328-.01608 .03081 (328*2π)/6132 weeks
329.01065 -.04066 (329*2π)/6132 weeks
330.09291 -.08393 (330*2π)/6132 weeks
331.11757 -.05051 (331*2π)/6132 weeks
332.12649 .01563 (332*2π)/6132 weeks
333.09243 .03802 (333*2π)/6132 weeks
334.01395 .00133 (334*2π)/6132 weeks
335.03834 -.05703 (335*2π)/6132 weeks
336.10627 -.03116 (336*2π)/6132 weeks
337.11357 -.05618 (337*2π)/6132 weeks
338.08673 .03311 (338*2π)/6132 weeks
339.05495 .01294 (339*2π)/6132 weeks
340.08745 -.00917 (340*2π)/6132 weeks
341.05777 -.00163 (341*2π)/6132 weeks
342.08947 -.03486 (342*2π)/6132 weeks
343.07581 .03595 (343*2π)/6132 weeks
344.05498 -.017 (344*2π)/6132 weeks
345.04637 -.01388 (345*2π)/6132 weeks
346.08102 -.08524 (346*2π)/6132 weeks
347.11808 .02847 (347*2π)/6132 weeks
348.07404 .0371 (348*2π)/6132 weeks
349.00853 .00999 (349*2π)/6132 weeks
350.03962 -.0827 (350*2π)/6132 weeks
351.12246 -.06085 (351*2π)/6132 weeks
352.11586 .00978 (352*2π)/6132 weeks
353.06125 .01046 (353*2π)/6132 weeks
354.04588 -.03295 (354*2π)/6132 weeks
355.08972 -.07659 (355*2π)/6132 weeks
356.10516 -.004 (356*2π)/6132 weeks
357.10182 .01075 (357*2π)/6132 weeks
358.09424 .06272 (358*2π)/6132 weeks
359.00991 -.02209 (359*2π)/6132 weeks
360.08382 -.04929 (360*2π)/6132 weeks
361.07303 -.00436 (361*2π)/6132 weeks
362.07777 .03987 (362*2π)/6132 weeks
363-.00496 -.00873 (363*2π)/6132 weeks
364.06094 -.05777 (364*2π)/6132 weeks
365.06788 -.02366 (365*2π)/6132 weeks
366.07877 -.06419 (366*2π)/6132 weeks
367.09748 -.01565 (367*2π)/6132 weeks
368.06608 -.00191 (368*2π)/6132 weeks
369.08402 -.02922 (369*2π)/6132 weeks
370.06955 .01116 (370*2π)/6132 weeks
371.00373 -.00872 (371*2π)/6132 weeks
372.04602 -.08932 (372*2π)/6132 weeks
373.14138 -.08218 (373*2π)/6132 weeks
374.1759 .02897 (374*2π)/6132 weeks
375-.00401 .06283 (375*2π)/6132 weeks
376.01442 -.05141 (376*2π)/6132 weeks
377.07244 -.07508 (377*2π)/6132 weeks
378.13138 -.05783 (378*2π)/6132 weeks
379.08522 .05058 (379*2π)/6132 weeks
380-.00934 .00334 (380*2π)/6132 weeks
381.02175 -.0867 (381*2π)/6132 weeks
382.10721 -.09268 (382*2π)/6132 weeks
383.13757 .026 (383*2π)/6132 weeks
384.0489 .03176 (384*2π)/6132 weeks
385.03847 -.05459 (385*2π)/6132 weeks
386.02932 -.0294 (386*2π)/6132 weeks
387.05116 -.10836 (387*2π)/6132 weeks
388.10633 -.01038 (388*2π)/6132 weeks
389.05387 -.0617 (389*2π)/6132 weeks
390.12572 -.01451 (390*2π)/6132 weeks
391.07442 -.03535 (391*2π)/6132 weeks
392.09773 -.03469 (392*2π)/6132 weeks
393.08122 -.01154 (393*2π)/6132 weeks
394.09956 -.01663 (394*2π)/6132 weeks
395-.00559 .03305 (395*2π)/6132 weeks
396.05719 -.12326 (396*2π)/6132 weeks
397.11886 -.04311 (397*2π)/6132 weeks
398.0885 -.06039 (398*2π)/6132 weeks
399.11868 -.00699 (399*2π)/6132 weeks
400.08685 -.00093 (400*2π)/6132 weeks
401.07424 -.01457 (401*2π)/6132 weeks
402.027 -.04733 (402*2π)/6132 weeks
403.09026 -.05096 (403*2π)/6132 weeks
404.06948 -.01884 (404*2π)/6132 weeks
405.06936 -.06655 (405*2π)/6132 weeks
406.05378 -.05799 (406*2π)/6132 weeks
407.10024 -.08514 (407*2π)/6132 weeks
408.11376 -.01265 (408*2π)/6132 weeks
409.09998 -.01896 (409*2π)/6131 weeks
410.02817 -.01243 (410*2π)/6131 weeks
411.06146 -.08803 (411*2π)/6131 weeks
412.1131 -.06293 (412*2π)/6131 weeks
413.11083 -.02156 (413*2π)/6131 weeks
414.05464 .00295 (414*2π)/6131 weeks
415.03829 -.06641 (415*2π)/6131 weeks
416.06215 -.08454 (416*2π)/6131 weeks
417.08596 -.08408 (417*2π)/6131 weeks
418.12136 -.0642 (418*2π)/6131 weeks
419.10533 -.03894 (419*2π)/6131 weeks
420.10716 -.04097 (420*2π)/6131 weeks
421.04791 -.05049 (421*2π)/6131 weeks
422.07772 -.05802 (422*2π)/6131 weeks
423.11024 -.05931 (423*2π)/6131 weeks
424.07598 -.03927 (424*2π)/6131 weeks
425.05632 -.05944 (425*2π)/6131 weeks
426.07527 -.09759 (426*2π)/6131 weeks
427.15175 -.08781 (427*2π)/6131 weeks
428.09452 -.02629 (428*2π)/6131 weeks
429.11366 -.02535 (429*2π)/6131 weeks
430.03826 -.03757 (430*2π)/6131 weeks
431.09562 -.04092 (431*2π)/6131 weeks
432.09 -.04092 (432*2π)/6131 weeks
433.06581 -.03913 (433*2π)/6131 weeks
434.09642 -.07003 (434*2π)/6131 weeks
435.12593 -.01347 (435*2π)/6131 weeks
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