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# Fourier Analysis of VNR (Vanguard Natural Resources LLC)

VNR (Vanguard Natural Resources LLC) appears to have interesting cyclic behaviour every 35 weeks (.5602*sine), 44 weeks (.4972*cosine), and 27 weeks (.3327*cosine).

VNR (Vanguard Natural Resources LLC) has an average price of 12.98 (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 10/25/2007 to 2/6/2017 for VNR (Vanguard Natural Resources LLC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
012.97849   0
1-8.94946 -2.6455 (1*2π)/486486 weeks
2-2.4446 1.4717 (2*2π)/486243 weeks
31.77862 1.91727 (3*2π)/486162 weeks
4.85577 .59009 (4*2π)/486122 weeks
5-.0327 .33308 (5*2π)/48697 weeks
6-.03975 1.15508 (6*2π)/48681 weeks
7.01558 -.04865 (7*2π)/48669 weeks
8-.16571 -.37377 (8*2π)/48661 weeks
9-.55009 .41402 (9*2π)/48654 weeks
10-.26619 .30434 (10*2π)/48649 weeks
11.49716 .00847 (11*2π)/48644 weeks
12.25807 -.00554 (12*2π)/48641 weeks
13.0323 .03739 (13*2π)/48637 weeks
14-.10085 .56023 (14*2π)/48635 weeks
15.25103 .16923 (15*2π)/48632 weeks
16.04072 .01954 (16*2π)/48630 weeks
17.0956 .04954 (17*2π)/48629 weeks
18-.33273 .07645 (18*2π)/48627 weeks
19.084 .07107 (19*2π)/48626 weeks
20.088 .25247 (20*2π)/48624 weeks
21.17132 .09388 (21*2π)/48623 weeks
22.07863 -.06979 (22*2π)/48622 weeks
23.06449 .0034 (23*2π)/48621 weeks
24-.07977 .1259 (24*2π)/48620 weeks
25-.03744 .08624 (25*2π)/48619 weeks
26-.19639 .09983 (26*2π)/48619 weeks
27.06633 .15875 (27*2π)/48618 weeks
28.12339 .09577 (28*2π)/48617 weeks
29.11441 -.14641 (29*2π)/48617 weeks
30.0352 .00096 (30*2π)/48616 weeks
31-.17057 .08495 (31*2π)/48616 weeks
32.06577 .23693 (32*2π)/48615 weeks
33.09506 .05484 (33*2π)/48615 weeks
34.0821 .01846 (34*2π)/48614 weeks
35.02184 .04493 (35*2π)/48614 weeks
36-.06798 .19218 (36*2π)/48614 weeks
37.20579 -.01034 (37*2π)/48613 weeks
38-.01426 .10688 (38*2π)/48613 weeks
39-.09278 .02137 (39*2π)/48612 weeks
40-.07677 .14154 (40*2π)/48612 weeks
41.02572 .03925 (41*2π)/48612 weeks
42.15375 -.03378 (42*2π)/48612 weeks
43.0164 -.02537 (43*2π)/48611 weeks
44-.10614 .06283 (44*2π)/48611 weeks
45.07471 .18162 (45*2π)/48611 weeks
46.1244 .05621 (46*2π)/48611 weeks
47.09636 -.01254 (47*2π)/48610 weeks
48-.05431 .06129 (48*2π)/48610 weeks
49-.07561 .1011 (49*2π)/48610 weeks
50.03539 .02634 (50*2π)/48610 weeks
51.06827 -.02999 (51*2π)/48610 weeks
52.06006 .04249 (52*2π)/4869 weeks
53.07259 -.00751 (53*2π)/4869 weeks
54-.02566 .08882 (54*2π)/4869 weeks
55-.0431 -.00174 (55*2π)/4869 weeks
56.02211 .1464 (56*2π)/4869 weeks
57.08841 .06772 (57*2π)/4869 weeks
58.07523 .0111 (58*2π)/4868 weeks
59-.07029 -.00591 (59*2π)/4868 weeks
60.05132 .05652 (60*2π)/4868 weeks
61.00128 .09895 (61*2π)/4868 weeks
62.06169 -.01065 (62*2π)/4868 weeks
63-.03054 -.00358 (63*2π)/4868 weeks
64.05008 .08756 (64*2π)/4868 weeks
65.07524 .13973 (65*2π)/4867 weeks
66-.00139 .0265 (66*2π)/4867 weeks
67-.01015 -.08541 (67*2π)/4867 weeks
68-.00821 .15881 (68*2π)/4867 weeks
69-.00929 .0368 (69*2π)/4867 weeks
70.05615 -.01686 (70*2π)/4867 weeks
71-.01411 -.01593 (71*2π)/4867 weeks
72-.04774 .01387 (72*2π)/4867 weeks
73-.00511 .09912 (73*2π)/4867 weeks
74.04101 -.00683 (74*2π)/4867 weeks
75.05683 .07587 (75*2π)/4866 weeks
76-.06658 .01386 (76*2π)/4866 weeks
77-.0284 .06184 (77*2π)/4866 weeks
78.02624 .03513 (78*2π)/4866 weeks
79.05951 .02123 (79*2π)/4866 weeks
80.01098 -.02784 (80*2π)/4866 weeks
81-.00741 .02904 (81*2π)/4866 weeks
82.01122 .0753 (82*2π)/4866 weeks
83.01898 .0673 (83*2π)/4866 weeks
84.06178 -.03321 (84*2π)/4866 weeks
85-.01306 .00407 (85*2π)/4866 weeks
86-.01912 .09626 (86*2π)/4866 weeks
87.01289 .03573 (87*2π)/4866 weeks
88.03615 .00175 (88*2π)/4866 weeks
89.01771 .01857 (89*2π)/4865 weeks
90-.01127 .03629 (90*2π)/4865 weeks
91.08143 .07542 (91*2π)/4865 weeks
92.06794 -.03024 (92*2π)/4865 weeks
93.06781 -.00749 (93*2π)/4865 weeks
94-.07618 .03101 (94*2π)/4865 weeks
95.00769 .09244 (95*2π)/4865 weeks
96.02279 .10803 (96*2π)/4865 weeks
97.0579 -.01986 (97*2π)/4865 weeks
98.02663 -.05757 (98*2π)/4865 weeks
99.01552 .03846 (99*2π)/4865 weeks
100.05714 .02487 (100*2π)/4865 weeks
101.0461 .065 (101*2π)/4865 weeks
102.02146 -.03065 (102*2π)/4865 weeks
103-.03476 .05391 (103*2π)/4865 weeks
104.02819 .08398 (104*2π)/4865 weeks
105.01178 .03122 (105*2π)/4865 weeks
106.00578 .01339 (106*2π)/4865 weeks
107.00261 .04078 (107*2π)/4865 weeks
108.02994 .0729 (108*2π)/4865 weeks
109.07092 .00324 (109*2π)/4864 weeks
110-.01142 -.05555 (110*2π)/4864 weeks
111-.04961 .03627 (111*2π)/4864 weeks
112.04785 .12539 (112*2π)/4864 weeks
113.0304 .0169 (113*2π)/4864 weeks
114-.00059 .02816 (114*2π)/4864 weeks
115.01474 .0235 (115*2π)/4864 weeks
116.00219 .03579 (116*2π)/4864 weeks
117.0417 -.00558 (117*2π)/4864 weeks
118-.05239 .02152 (118*2π)/4864 weeks
119-.00342 .03804 (119*2π)/4864 weeks
120.03245 .01252 (120*2π)/4864 weeks
121.00883 .02546 (121*2π)/4864 weeks
122.00419 -.01786 (122*2π)/4864 weeks
123.00505 .04952 (123*2π)/4864 weeks
124.01053 .02184 (124*2π)/4864 weeks
125.00426 .02058 (125*2π)/4864 weeks
126-.01162 -.00489 (126*2π)/4864 weeks
127-.00439 .02426 (127*2π)/4864 weeks
128.03868 .03627 (128*2π)/4864 weeks
129-.00375 .00876 (129*2π)/4864 weeks
130.00232 -.00512 (130*2π)/4864 weeks
131-.02683 -.00879 (131*2π)/4864 weeks
132.05739 .0169 (132*2π)/4864 weeks
133.04012 .00253 (133*2π)/4864 weeks
134.02799 .00352 (134*2π)/4864 weeks
135-.04997 -.01654 (135*2π)/4864 weeks
136.01187 .05082 (136*2π)/4864 weeks
137.04272 .05766 (137*2π)/4864 weeks
138.06672 .01026 (138*2π)/4864 weeks
139.00358 -.02312 (139*2π)/4863 weeks
140-.00957 .01417 (140*2π)/4863 weeks
141.01983 .0137 (141*2π)/4863 weeks
142-.01394 .01992 (142*2π)/4863 weeks
143-.00226 .0222 (143*2π)/4863 weeks
144.0279 -.0041 (144*2π)/4863 weeks
145.04878 .05602 (145*2π)/4863 weeks
146.02632 -.01022 (146*2π)/4863 weeks
147.01883 -.0069 (147*2π)/4863 weeks
148-.00247 -.00161 (148*2π)/4863 weeks
149-.00015 .00743 (149*2π)/4863 weeks
150.00399 .02512 (150*2π)/4863 weeks
151.03596 .034 (151*2π)/4863 weeks
152.05538 .0082 (152*2π)/4863 weeks
153.02989 -.02381 (153*2π)/4863 weeks
154-.02377 .00954 (154*2π)/4863 weeks
155-.02959 .03008 (155*2π)/4863 weeks
156.03685 -.02163 (156*2π)/4863 weeks
157.02149 .00518 (157*2π)/4863 weeks
158-.01601 .03571 (158*2π)/4863 weeks
159.05082 -.00348 (159*2π)/4863 weeks
160.02181 .0008 (160*2π)/4863 weeks
161.04752 -.04656 (161*2π)/4863 weeks
162-.02631 .02976 (162*2π)/4863 weeks
163-.00878 .03382 (163*2π)/4863 weeks
164.01323 -.02191 (164*2π)/4863 weeks
165.04833 .02529 (165*2π)/4863 weeks
166-.03441 .00728 (166*2π)/4863 weeks
167.02365 -.01694 (167*2π)/4863 weeks
168.02736 -.01762 (168*2π)/4863 weeks
169.03036 -.02386 (169*2π)/4863 weeks
170.01046 .00656 (170*2π)/4863 weeks
171.03995 .02121 (171*2π)/4863 weeks
172.07788 -.00539 (172*2π)/4863 weeks
173.01673 .01514 (173*2π)/4863 weeks
174-.0181 .0084 (174*2π)/4863 weeks
175-.0079 .02817 (175*2π)/4863 weeks
176.04252 .01362 (176*2π)/4863 weeks
177.05809 -.01751 (177*2π)/4863 weeks
178.01052 -.03845 (178*2π)/4863 weeks
179.03918 .01716 (179*2π)/4863 weeks
180-.00875 .02338 (180*2π)/4863 weeks
181.00661 -.03807 (181*2π)/4863 weeks
182-.00117 .01813 (182*2π)/4863 weeks
183.02784 .05605 (183*2π)/4863 weeks
184.02141 .03947 (184*2π)/4863 weeks
185.03699 -.04961 (185*2π)/4863 weeks
186.03072 -.02846 (186*2π)/4863 weeks
187-.01784 .01106 (187*2π)/4863 weeks
188.00319 .01294 (188*2π)/4863 weeks
189.03206 .02647 (189*2π)/4863 weeks
190.02857 -.00811 (190*2π)/4863 weeks
191.01056 .03383 (191*2π)/4863 weeks
192-.0036 -.03378 (192*2π)/4863 weeks
193.01382 -.04175 (193*2π)/4863 weeks
194.02715 .00661 (194*2π)/4863 weeks
195.02563 .03352 (195*2π)/4862 weeks
196.00914 .00231 (196*2π)/4862 weeks
197.04472 -.01352 (197*2π)/4862 weeks
198-.00628 .00197 (198*2π)/4862 weeks
199.03189 -.01841 (199*2π)/4862 weeks
200.00498 .00391 (200*2π)/4862 weeks
201-.00444 .01945 (201*2π)/4862 weeks
202.02456 .06306 (202*2π)/4862 weeks
203.03373 -.00284 (203*2π)/4862 weeks
204.03878 -.01608 (204*2π)/4862 weeks
205-.02185 -.06321 (205*2π)/4862 weeks
206.00865 .02627 (206*2π)/4862 weeks
207.01843 .01789 (207*2π)/4862 weeks
208.02897 -.00311 (208*2π)/4862 weeks
209.01492 .01446 (209*2π)/4862 weeks
210.00239 -.0306 (210*2π)/4862 weeks
211.06281 .00175 (211*2π)/4862 weeks
212-.00723 -.0093 (212*2π)/4862 weeks
213-.01607 -.03683 (213*2π)/4862 weeks
214.01141 .06754 (214*2π)/4862 weeks
215.06659 .00248 (215*2π)/4862 weeks
216.05671 .00124 (216*2π)/4862 weeks
217-.03706 -.03277 (217*2π)/4862 weeks
218-.00139 -.0138 (218*2π)/4862 weeks
219.0208 .04141 (219*2π)/4862 weeks
220.09586 -.00494 (220*2π)/4862 weeks
221-.01479 -.00293 (221*2π)/4862 weeks
222.00946 -.01033 (222*2π)/4862 weeks
223.04035 .00723 (223*2π)/4862 weeks
224.04486 .04909 (224*2π)/4862 weeks
225-.02188 -.03222 (225*2π)/4862 weeks
226-.01771 .00386 (226*2π)/4862 weeks
227.00525 .0128 (227*2π)/4862 weeks
228.07247 .00392 (228*2π)/4862 weeks
229-.00321 -.04258 (229*2π)/4862 weeks
230.01222 -.01638 (230*2π)/4862 weeks
231.0056 .02139 (231*2π)/4862 weeks
232.0264 .06535 (232*2π)/4862 weeks
233-.00003 -.03426 (233*2π)/4862 weeks
234.02263 -.01574 (234*2π)/4862 weeks
235.01243 .00899 (235*2π)/4862 weeks
236.00224 -.01058 (236*2π)/4862 weeks
237.02598 -.02265 (237*2π)/4862 weeks
238.03943 .00696 (238*2π)/4862 weeks
239.00053 .03562 (239*2π)/4862 weeks
240.05057 -.00724 (240*2π)/4862 weeks
241.00169 -.016 (241*2π)/4862 weeks
242.01265 -.00132 (242*2π)/4862 weeks
243-.00561   (243*2π)/4862 weeks
244.01265 .00132 (244*2π)/4862 weeks
245.00169 .016 (245*2π)/4862 weeks
246.05057 .00724 (246*2π)/4862 weeks
247.00053 -.03562 (247*2π)/4862 weeks
248.03943 -.00696 (248*2π)/4862 weeks
249.02598 .02265 (249*2π)/4862 weeks
250.00224 .01058 (250*2π)/4862 weeks
251.01243 -.00899 (251*2π)/4862 weeks
252.02263 .01574 (252*2π)/4862 weeks
253-.00003 .03426 (253*2π)/4862 weeks
254.0264 -.06535 (254*2π)/4862 weeks
255.0056 -.02139 (255*2π)/4862 weeks
256.01222 .01638 (256*2π)/4862 weeks
257-.00321 .04258 (257*2π)/4862 weeks
258.07247 -.00392 (258*2π)/4862 weeks
259.00525 -.0128 (259*2π)/4862 weeks
260-.01771 -.00386 (260*2π)/4862 weeks
261-.02188 .03222 (261*2π)/4862 weeks
262.04486 -.04909 (262*2π)/4862 weeks
263.04035 -.00723 (263*2π)/4862 weeks
264.00946 .01033 (264*2π)/4862 weeks
265-.01479 .00293 (265*2π)/4862 weeks
266.09586 .00494 (266*2π)/4862 weeks
267.0208 -.04141 (267*2π)/4862 weeks
268-.00139 .0138 (268*2π)/4862 weeks
269-.03706 .03277 (269*2π)/4862 weeks
270.05671 -.00124 (270*2π)/4862 weeks
271.06659 -.00248 (271*2π)/4862 weeks
272.01141 -.06754 (272*2π)/4862 weeks
273-.01607 .03683 (273*2π)/4862 weeks
274-.00723 .0093 (274*2π)/4862 weeks
275.06281 -.00175 (275*2π)/4862 weeks
276.00239 .0306 (276*2π)/4862 weeks
277.01492 -.01446 (277*2π)/4862 weeks
278.02897 .00311 (278*2π)/4862 weeks
279.01843 -.01789 (279*2π)/4862 weeks
280.00865 -.02627 (280*2π)/4862 weeks
281-.02185 .06321 (281*2π)/4862 weeks
282.03878 .01608 (282*2π)/4862 weeks
283.03373 .00284 (283*2π)/4862 weeks
284.02456 -.06306 (284*2π)/4862 weeks
285-.00444 -.01945 (285*2π)/4862 weeks
286.00498 -.00391 (286*2π)/4862 weeks
287.03189 .01841 (287*2π)/4862 weeks
288-.00628 -.00197 (288*2π)/4862 weeks
289.04472 .01352 (289*2π)/4862 weeks
290.00914 -.00231 (290*2π)/4862 weeks
291.02563 -.03352 (291*2π)/4862 weeks
292.02715 -.00661 (292*2π)/4862 weeks
293.01382 .04175 (293*2π)/4862 weeks
294-.0036 .03378 (294*2π)/4862 weeks
295.01056 -.03383 (295*2π)/4862 weeks
296.02857 .00811 (296*2π)/4862 weeks
297.03206 -.02647 (297*2π)/4862 weeks
298.00319 -.01294 (298*2π)/4862 weeks
299-.01784 -.01106 (299*2π)/4862 weeks
300.03072 .02846 (300*2π)/4862 weeks
301.03699 .04961 (301*2π)/4862 weeks
302.02141 -.03947 (302*2π)/4862 weeks
303.02784 -.05605 (303*2π)/4862 weeks
304-.00117 -.01813 (304*2π)/4862 weeks
305.00661 .03807 (305*2π)/4862 weeks
306-.00875 -.02338 (306*2π)/4862 weeks
307.03918 -.01716 (307*2π)/4862 weeks
308.01052 .03845 (308*2π)/4862 weeks
309.05809 .01751 (309*2π)/4862 weeks
310.04252 -.01362 (310*2π)/4862 weeks
311-.0079 -.02817 (311*2π)/4862 weeks
312-.0181 -.0084 (312*2π)/4862 weeks
313.01673 -.01514 (313*2π)/4862 weeks
314.07788 .00539 (314*2π)/4862 weeks
315.03995 -.02121 (315*2π)/4862 weeks
316.01046 -.00656 (316*2π)/4862 weeks
317.03036 .02386 (317*2π)/4862 weeks
318.02736 .01762 (318*2π)/4862 weeks
319.02365 .01694 (319*2π)/4862 weeks
320-.03441 -.00728 (320*2π)/4862 weeks
321.04833 -.02529 (321*2π)/4862 weeks
322.01323 .02191 (322*2π)/4862 weeks
323-.00878 -.03382 (323*2π)/4862 weeks
324-.02631 -.02976 (324*2π)/4862 weeks
325.04752 .04656 (325*2π)/4861 weeks
326.02181 -.0008 (326*2π)/4861 weeks
327.05082 .00348 (327*2π)/4861 weeks
328-.01601 -.03571 (328*2π)/4861 weeks
329.02149 -.00518 (329*2π)/4861 weeks
330.03685 .02163 (330*2π)/4861 weeks
331-.02959 -.03008 (331*2π)/4861 weeks
332-.02377 -.00954 (332*2π)/4861 weeks
333.02989 .02381 (333*2π)/4861 weeks
334.05538 -.0082 (334*2π)/4861 weeks
335.03596 -.034 (335*2π)/4861 weeks
336.00399 -.02512 (336*2π)/4861 weeks
337-.00015 -.00743 (337*2π)/4861 weeks
338-.00247 .00161 (338*2π)/4861 weeks
339.01883 .0069 (339*2π)/4861 weeks
340.02632 .01022 (340*2π)/4861 weeks
341.04878 -.05602 (341*2π)/4861 weeks
342.0279 .0041 (342*2π)/4861 weeks
343-.00226 -.0222 (343*2π)/4861 weeks
344-.01394 -.01992 (344*2π)/4861 weeks
345.01983 -.0137 (345*2π)/4861 weeks
346-.00957 -.01417 (346*2π)/4861 weeks
347.00358 .02312 (347*2π)/4861 weeks
348.06672 -.01026 (348*2π)/4861 weeks
349.04272 -.05766 (349*2π)/4861 weeks
350.01187 -.05082 (350*2π)/4861 weeks
351-.04997 .01654 (351*2π)/4861 weeks
352.02799 -.00352 (352*2π)/4861 weeks
353.04012 -.00253 (353*2π)/4861 weeks
354.05739 -.0169 (354*2π)/4861 weeks
355-.02683 .00879 (355*2π)/4861 weeks
356.00232 .00512 (356*2π)/4861 weeks
357-.00375 -.00876 (357*2π)/4861 weeks
358.03868 -.03627 (358*2π)/4861 weeks
359-.00439 -.02426 (359*2π)/4861 weeks
360-.01162 .00489 (360*2π)/4861 weeks
361.00426 -.02058 (361*2π)/4861 weeks
362.01053 -.02184 (362*2π)/4861 weeks
363.00505 -.04952 (363*2π)/4861 weeks
364.00419 .01786 (364*2π)/4861 weeks
365.00883 -.02546 (365*2π)/4861 weeks
366.03245 -.01252 (366*2π)/4861 weeks
367-.00342 -.03804 (367*2π)/4861 weeks
368-.05239 -.02152 (368*2π)/4861 weeks
369.0417 .00558 (369*2π)/4861 weeks
370.00219 -.03579 (370*2π)/4861 weeks
371.01474 -.0235 (371*2π)/4861 weeks
372-.00059 -.02816 (372*2π)/4861 weeks
373.0304 -.0169 (373*2π)/4861 weeks
374.04785 -.12539 (374*2π)/4861 weeks
375-.04961 -.03627 (375*2π)/4861 weeks
376-.01142 .05555 (376*2π)/4861 weeks
377.07092 -.00324 (377*2π)/4861 weeks
378.02994 -.0729 (378*2π)/4861 weeks
379.00261 -.04078 (379*2π)/4861 weeks
380.00578 -.01339 (380*2π)/4861 weeks
381.01178 -.03122 (381*2π)/4861 weeks
382.02819 -.08398 (382*2π)/4861 weeks
383-.03476 -.05391 (383*2π)/4861 weeks
384.02146 .03065 (384*2π)/4861 weeks
385.0461 -.065 (385*2π)/4861 weeks
386.05714 -.02487 (386*2π)/4861 weeks
387.01552 -.03846 (387*2π)/4861 weeks
388.02663 .05757 (388*2π)/4861 weeks
389.0579 .01986 (389*2π)/4861 weeks
390.02279 -.10803 (390*2π)/4861 weeks
391.00769 -.09244 (391*2π)/4861 weeks
392-.07618 -.03101 (392*2π)/4861 weeks
393.06781 .00749 (393*2π)/4861 weeks
394.06794 .03024 (394*2π)/4861 weeks
395.08143 -.07542 (395*2π)/4861 weeks
396-.01127 -.03629 (396*2π)/4861 weeks
397.01771 -.01857 (397*2π)/4861 weeks
398.03615 -.00175 (398*2π)/4861 weeks
399.01289 -.03573 (399*2π)/4861 weeks
400-.01912 -.09626 (400*2π)/4861 weeks
401-.01306 -.00407 (401*2π)/4861 weeks
402.06178 .03321 (402*2π)/4861 weeks
403.01898 -.0673 (403*2π)/4861 weeks
404.01122 -.0753 (404*2π)/4861 weeks
405-.00741 -.02904 (405*2π)/4861 weeks
406.01098 .02784 (406*2π)/4861 weeks
407.05951 -.02123 (407*2π)/4861 weeks
408.02624 -.03513 (408*2π)/4861 weeks
409-.0284 -.06184 (409*2π)/4861 weeks
410-.06658 -.01386 (410*2π)/4861 weeks
411.05683 -.07587 (411*2π)/4861 weeks
412.04101 .00683 (412*2π)/4861 weeks
413-.00511 -.09912 (413*2π)/4861 weeks
414-.04774 -.01387 (414*2π)/4861 weeks
415-.01411 .01593 (415*2π)/4861 weeks
416.05615 .01686 (416*2π)/4861 weeks
417-.00929 -.0368 (417*2π)/4861 weeks
418-.00821 -.15881 (418*2π)/4861 weeks
419-.01015 .08541 (419*2π)/4861 weeks
420-.00139 -.0265 (420*2π)/4861 weeks
421.07524 -.13973 (421*2π)/4861 weeks
422.05008 -.08756 (422*2π)/4861 weeks
423-.03054 .00358 (423*2π)/4861 weeks
424.06169 .01065 (424*2π)/4861 weeks
425.00128 -.09895 (425*2π)/4861 weeks
426.05132 -.05652 (426*2π)/4861 weeks
427-.07029 .00591 (427*2π)/4861 weeks
428.07523 -.0111 (428*2π)/4861 weeks
429.08841 -.06772 (429*2π)/4861 weeks
430.02211 -.1464 (430*2π)/4861 weeks
431-.0431 .00174 (431*2π)/4861 weeks
432-.02566 -.08882 (432*2π)/4861 weeks
433.07259 .00751 (433*2π)/4861 weeks
434.06006 -.04249 (434*2π)/4861 weeks
435.06827 .02999 (435*2π)/4861 weeks
436.03539 -.02634 (436*2π)/4861 weeks
437-.07561 -.1011 (437*2π)/4861 weeks
438-.05431 -.06129 (438*2π)/4861 weeks
439.09636 .01254 (439*2π)/4861 weeks
440.1244 -.05621 (440*2π)/4861 weeks
441.07471 -.18162 (441*2π)/4861 weeks
442-.10614 -.06283 (442*2π)/4861 weeks
443.0164 .02537 (443*2π)/4861 weeks
444.15375 .03378 (444*2π)/4861 weeks
445.02572 -.03925 (445*2π)/4861 weeks
446-.07677 -.14154 (446*2π)/4861 weeks
447-.09278 -.02137 (447*2π)/4861 weeks
448-.01426 -.10688 (448*2π)/4861 weeks
449.20579 .01034 (449*2π)/4861 weeks
450-.06798 -.19218 (450*2π)/4861 weeks
451.02184 -.04493 (451*2π)/4861 weeks
452.0821 -.01846 (452*2π)/4861 weeks
453.09506 -.05484 (453*2π)/4861 weeks
454.06577 -.23693 (454*2π)/4861 weeks
455-.17057 -.08495 (455*2π)/4861 weeks
456.0352 -.00096 (456*2π)/4861 weeks
457.11441 .14641 (457*2π)/4861 weeks
458.12339 -.09577 (458*2π)/4861 weeks
459.06633 -.15875 (459*2π)/4861 weeks
460-.19639 -.09983 (460*2π)/4861 weeks
461-.03744 -.08624 (461*2π)/4861 weeks
462-.07977 -.1259 (462*2π)/4861 weeks
463.06449 -.0034 (463*2π)/4861 weeks
464.07863 .06979 (464*2π)/4861 weeks
465.17132 -.09388 (465*2π)/4861 weeks
466.088 -.25247 (466*2π)/4861 weeks
467.084 -.07107 (467*2π)/4861 weeks
468-.33273 -.07645 (468*2π)/4861 weeks
469.0956 -.04954 (469*2π)/4861 weeks
470.04072 -.01954 (470*2π)/4861 weeks
471.25103 -.16923 (471*2π)/4861 weeks
472-.10085 -.56023 (472*2π)/4861 weeks
473.0323 -.03739 (473*2π)/4861 weeks
474.25807 .00554 (474*2π)/4861 weeks
475.49716 -.00847 (475*2π)/4861 weeks
476-.26619 -.30434 (476*2π)/4861 weeks
477-.55009 -.41402 (477*2π)/4861 weeks
478-.16571 .37377 (478*2π)/4861 weeks
479.01558 .04865 (479*2π)/4861 weeks
480-.03975 -1.15508 (480*2π)/4861 weeks
481-.0327 -.33308 (481*2π)/4861 weeks
482.85577 -.59009 (482*2π)/4861 weeks
4831.77862 -1.91727 (483*2π)/4861 weeks
484-2.4446 -1.4717 (484*2π)/4861 weeks