Back to list of Stocks    See Also: Seasonal Analysis of BALGenetic Algorithms Stock Portfolio Generator, and Best Months to Buy/Sell Stocks

# Fourier Analysis of BAL (iPath Bloomberg Cotton SubTR ETN)

BAL (iPath Bloomberg Cotton SubTR ETN) appears to have interesting cyclic behaviour every 51 weeks (2.8369*sine), 47 weeks (2.0027*cosine), and 24 weeks (1.035*cosine).

BAL (iPath Bloomberg Cotton SubTR ETN) has an average price of 48.26 (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 6/25/2008 to 4/16/2018 for BAL (iPath Bloomberg Cotton SubTR ETN), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
048.25577   0
1-7.5051 4.97565 (1*2π)/513513 weeks
2-3.3433 -7.55388 (2*2π)/513257 weeks
33.8427 -9.04674 (3*2π)/513171 weeks
44.32474 3.29407 (4*2π)/513128 weeks
5-3.00822 .36128 (5*2π)/513103 weeks
6-.2238 -3.37821 (6*2π)/51386 weeks
74.65061 -1.4058 (7*2π)/51373 weeks
82.23725 .84826 (8*2π)/51364 weeks
9-1.9135 .89489 (9*2π)/51357 weeks
101.27142 -2.83686 (10*2π)/51351 weeks
112.00275 -.24838 (11*2π)/51347 weeks
12.63621 1.05777 (12*2π)/51343 weeks
13-.85926 -1.08725 (13*2π)/51339 weeks
14.32781 -.3611 (14*2π)/51337 weeks
15.32486 .50945 (15*2π)/51334 weeks
16-.57581 .49743 (16*2π)/51332 weeks
17.63323 -.51821 (17*2π)/51330 weeks
18.1934 -.33894 (18*2π)/51329 weeks
19-.11171 .86303 (19*2π)/51327 weeks
20-.88192 -.66632 (20*2π)/51326 weeks
211.03499 -.36938 (21*2π)/51324 weeks
22.15063 .78932 (22*2π)/51323 weeks
23-.47983 .17596 (23*2π)/51322 weeks
24-.52043 .01091 (24*2π)/51321 weeks
25.13615 -.02609 (25*2π)/51321 weeks
26-.27847 .17099 (26*2π)/51320 weeks
27-.45811 .21906 (27*2π)/51319 weeks
28-.13412 -.3476 (28*2π)/51318 weeks
29.24748 -.16589 (29*2π)/51318 weeks
30.19853 -.09667 (30*2π)/51317 weeks
31-.31221 -.09128 (31*2π)/51317 weeks
32-.16845 -.58488 (32*2π)/51316 weeks
33.84861 -.53265 (33*2π)/51316 weeks
34.25531 .29423 (34*2π)/51315 weeks
35-.24076 -.67335 (35*2π)/51315 weeks
36.4094 -.42293 (36*2π)/51314 weeks
37.0129 .27968 (37*2π)/51314 weeks
38-.35449 .18579 (38*2π)/51314 weeks
39.11167 -.21096 (39*2π)/51313 weeks
40.19121 -.02655 (40*2π)/51313 weeks
41.12396 -.00172 (41*2π)/51313 weeks
42-.50261 -.00975 (42*2π)/51312 weeks
43.12191 -.30638 (43*2π)/51312 weeks
44.21278 .04233 (44*2π)/51312 weeks
45-.36424 -.04686 (45*2π)/51311 weeks
46.23607 -.59455 (46*2π)/51311 weeks
47.23335 .2555 (47*2π)/51311 weeks
48-.38062 .22573 (48*2π)/51311 weeks
49-.04357 -.15393 (49*2π)/51310 weeks
50.12794 .07342 (50*2π)/51310 weeks
51-.11265 .02182 (51*2π)/51310 weeks
52.05534 -.11062 (52*2π)/51310 weeks
53-.05432 -.07006 (53*2π)/51310 weeks
54.04108 -.00426 (54*2π)/51310 weeks
55-.12686 .03096 (55*2π)/5139 weeks
56.14624 .06566 (56*2π)/5139 weeks
57-.21521 -.05822 (57*2π)/5139 weeks
58-.15774 -.01216 (58*2π)/5139 weeks
59.25168 -.06672 (59*2π)/5139 weeks
60-.13129 .22224 (60*2π)/5139 weeks
61-.17954 .23222 (61*2π)/5138 weeks
62.06687 -.03704 (62*2π)/5138 weeks
63.19942 -.42535 (63*2π)/5138 weeks
64.18807 .12953 (64*2π)/5138 weeks
65-.13502 .03728 (65*2π)/5138 weeks
66-.08754 -.17191 (66*2π)/5138 weeks
67.3522 .09166 (67*2π)/5138 weeks
68-.09178 .04954 (68*2π)/5138 weeks
69-.08948 .06322 (69*2π)/5137 weeks
70-.00261 -.31993 (70*2π)/5137 weeks
71.29503 .12907 (71*2π)/5137 weeks
72-.16221 .15344 (72*2π)/5137 weeks
73-.03389 .03754 (73*2π)/5137 weeks
74.08862 -.33294 (74*2π)/5137 weeks
75.16133 -.07374 (75*2π)/5137 weeks
76-.17865 .08103 (76*2π)/5137 weeks
77.17317 .04431 (77*2π)/5137 weeks
78-.13536 -.05015 (78*2π)/5137 weeks
79.22825 -.24082 (79*2π)/5136 weeks
80.09961 -.10157 (80*2π)/5136 weeks
81-.07909 .01256 (81*2π)/5136 weeks
82-.13849 -.22542 (82*2π)/5136 weeks
83.05349 -.13364 (83*2π)/5136 weeks
84.2358 -.07182 (84*2π)/5136 weeks
85-.17603 .12322 (85*2π)/5136 weeks
86-.28077 -.14363 (86*2π)/5136 weeks
87.00038 -.28511 (87*2π)/5136 weeks
88.0769 .06144 (88*2π)/5136 weeks
89-.01625 .15836 (89*2π)/5136 weeks
90-.19666 -.15667 (90*2π)/5136 weeks
91.128 -.29032 (91*2π)/5136 weeks
92.12546 .14086 (92*2π)/5136 weeks
93-.2613 -.0407 (93*2π)/5136 weeks
94-.02664 -.27649 (94*2π)/5135 weeks
95.16268 -.045 (95*2π)/5135 weeks
96-.0009 .08777 (96*2π)/5135 weeks
97-.06992 -.08724 (97*2π)/5135 weeks
98.00448 -.01929 (98*2π)/5135 weeks
99-.00216 -.03865 (99*2π)/5135 weeks
100-.18481 -.07269 (100*2π)/5135 weeks
101-.08306 .05689 (101*2π)/5135 weeks
102-.12534 -.03179 (102*2π)/5135 weeks
103.0061 -.03548 (103*2π)/5135 weeks
104.02714 -.02916 (104*2π)/5135 weeks
105.142 .12739 (105*2π)/5135 weeks
106-.13329 -.01799 (106*2π)/5135 weeks
107.09506 -.12124 (107*2π)/5135 weeks
108.03585 .10234 (108*2π)/5135 weeks
109.00451 -.01244 (109*2π)/5135 weeks
110-.13728 -.17041 (110*2π)/5135 weeks
111.1312 -.21643 (111*2π)/5135 weeks
112.02671 -.05292 (112*2π)/5135 weeks
113.16229 -.10647 (113*2π)/5135 weeks
114.03081 -.03524 (114*2π)/5135 weeks
115.05317 .02995 (115*2π)/5134 weeks
116-.09065 -.03935 (116*2π)/5134 weeks
117.13365 .1068 (117*2π)/5134 weeks
118-.07926 -.01808 (118*2π)/5134 weeks
119.06654 -.02052 (119*2π)/5134 weeks
120.06619 -.06022 (120*2π)/5134 weeks
121.114 .19397 (121*2π)/5134 weeks
122-.10726 -.04949 (122*2π)/5134 weeks
123.1247 -.15294 (123*2π)/5134 weeks
124.06888 -.00874 (124*2π)/5134 weeks
125.08833 .00412 (125*2π)/5134 weeks
126-.0651 .00936 (126*2π)/5134 weeks
127-.05894 -.00408 (127*2π)/5134 weeks
128.02941 -.12239 (128*2π)/5134 weeks
129-.00246 .02596 (129*2π)/5134 weeks
130-.15974 .02177 (130*2π)/5134 weeks
131.03486 .00908 (131*2π)/5134 weeks
132-.04908 .082 (132*2π)/5134 weeks
133-.08813 -.03203 (133*2π)/5134 weeks
134.0663 .00324 (134*2π)/5134 weeks
135-.00831 .20925 (135*2π)/5134 weeks
136.02492 -.06665 (136*2π)/5134 weeks
137.03291 -.01336 (137*2π)/5134 weeks
138.07594 .05578 (138*2π)/5134 weeks
139-.04822 -.04409 (139*2π)/5134 weeks
140-.12538 -.09578 (140*2π)/5134 weeks
141.02369 .04762 (141*2π)/5134 weeks
142-.00064 .2064 (142*2π)/5134 weeks
143.06577 .01132 (143*2π)/5134 weeks
144.08005 -.06212 (144*2π)/5134 weeks
145-.05613 -.10046 (145*2π)/5134 weeks
146.09942 .00399 (146*2π)/5134 weeks
147-.04707 .07593 (147*2π)/5133 weeks
148-.17624 -.11687 (148*2π)/5133 weeks
149.08342 -.12272 (149*2π)/5133 weeks
150.17148 -.00768 (150*2π)/5133 weeks
151-.1613 .13815 (151*2π)/5133 weeks
152-.13986 .0138 (152*2π)/5133 weeks
153.18238 -.08914 (153*2π)/5133 weeks
154.01934 .13927 (154*2π)/5133 weeks
155-.11767 -.03499 (155*2π)/5133 weeks
156-.02293 -.17244 (156*2π)/5133 weeks
157.13426 .02944 (157*2π)/5133 weeks
158-.12871 -.01027 (158*2π)/5133 weeks
159.00126 -.07089 (159*2π)/5133 weeks
160-.03762 -.06676 (160*2π)/5133 weeks
161.09718 -.00253 (161*2π)/5133 weeks
162-.02043 -.02915 (162*2π)/5133 weeks
163-.05625 .15311 (163*2π)/5133 weeks
164.00839 -.04226 (164*2π)/5133 weeks
165.09365 .08571 (165*2π)/5133 weeks
166.03321 .02743 (166*2π)/5133 weeks
167.01115 .01148 (167*2π)/5133 weeks
168.03137 -.08328 (168*2π)/5133 weeks
169-.01951 .11525 (169*2π)/5133 weeks
170-.13506 .01993 (170*2π)/5133 weeks
171.03699 .00224 (171*2π)/5133 weeks
172.0115 -.04237 (172*2π)/5133 weeks
173-.03734 .03456 (173*2π)/5133 weeks
174-.03158 -.06816 (174*2π)/5133 weeks
175-.01561 -.03395 (175*2π)/5133 weeks
176.04949 -.00407 (176*2π)/5133 weeks
177-.00611 .04511 (177*2π)/5133 weeks
178-.11818 -.06262 (178*2π)/5133 weeks
179-.02185 -.08033 (179*2π)/5133 weeks
180.06576 -.01489 (180*2π)/5133 weeks
181-.08317 -.01292 (181*2π)/5133 weeks
182.00582 -.05663 (182*2π)/5133 weeks
183.103 -.0997 (183*2π)/5133 weeks
184.05604 .04264 (184*2π)/5133 weeks
185-.08915 -.02079 (185*2π)/5133 weeks
186.13381 -.1294 (186*2π)/5133 weeks
187.13941 .04854 (187*2π)/5133 weeks
188-.02633 -.01075 (188*2π)/5133 weeks
189-.06521 -.03738 (189*2π)/5133 weeks
190.05847 -.06202 (190*2π)/5133 weeks
191.09801 .03475 (191*2π)/5133 weeks
192-.15288 .1836 (192*2π)/5133 weeks
193-.07026 -.13803 (193*2π)/5133 weeks
194.2624 -.0862 (194*2π)/5133 weeks
195-.02463 .22708 (195*2π)/5133 weeks
196-.17055 .03045 (196*2π)/5133 weeks
197-.07353 -.04795 (197*2π)/5133 weeks
198.11484 .07322 (198*2π)/5133 weeks
199-.08485 .12861 (199*2π)/5133 weeks
200-.15633 -.02865 (200*2π)/5133 weeks
201-.00588 -.12 (201*2π)/5133 weeks
202-.02153 .07107 (202*2π)/5133 weeks
203-.08495 .06584 (203*2π)/5133 weeks
204.0513 -.08443 (204*2π)/5133 weeks
205.07806 -.00877 (205*2π)/5133 weeks
206.01378 -.06601 (206*2π)/5132 weeks
207-.00937 -.04194 (207*2π)/5132 weeks
208-.14838 .02902 (208*2π)/5132 weeks
209-.00433 .09662 (209*2π)/5132 weeks
210-.06689 -.00175 (210*2π)/5132 weeks
211.00077 -.00558 (211*2π)/5132 weeks
212.06537 -.03933 (212*2π)/5132 weeks
213-.05242 .04979 (213*2π)/5132 weeks
214-.10137 -.0589 (214*2π)/5132 weeks
215.03888 .04191 (215*2π)/5132 weeks
216.04739 .01146 (216*2π)/5132 weeks
217.07167 -.04198 (217*2π)/5132 weeks
218.03731 -.0003 (218*2π)/5132 weeks
219-.02764 .02633 (219*2π)/5132 weeks
220-.03546 -.08994 (220*2π)/5132 weeks
221.05706 -.01043 (221*2π)/5132 weeks
222-.02508 -.00004 (222*2π)/5132 weeks
223-.04141 -.08523 (223*2π)/5132 weeks
224.01125 .03605 (224*2π)/5132 weeks
225-.03064 .01636 (225*2π)/5132 weeks
226.04451 -.04328 (226*2π)/5132 weeks
227.02925 -.03864 (227*2π)/5132 weeks
228.01067 .08865 (228*2π)/5132 weeks
229-.05093 -.01556 (229*2π)/5132 weeks
230.10837 -.00748 (230*2π)/5132 weeks
231-.01098 .0184 (231*2π)/5132 weeks
232-.01405 .02648 (232*2π)/5132 weeks
233.04523 -.08683 (233*2π)/5132 weeks
234.05182 .02266 (234*2π)/5132 weeks
235.0167 .07726 (235*2π)/5132 weeks
236-.08595 .07135 (236*2π)/5132 weeks
237.02853 -.14863 (237*2π)/5132 weeks
238.04458 .0677 (238*2π)/5132 weeks
239-.03285 -.01718 (239*2π)/5132 weeks
240-.07032 -.03418 (240*2π)/5132 weeks
241.0067 -.06053 (241*2π)/5132 weeks
242.07693 .0873 (242*2π)/5132 weeks
243-.08958 .04424 (243*2π)/5132 weeks
244-.05116 -.03184 (244*2π)/5132 weeks
245-.03299 -.06751 (245*2π)/5132 weeks
246.00984 -.00901 (246*2π)/5132 weeks
247.02495 .02481 (247*2π)/5132 weeks
248.00393 -.01857 (248*2π)/5132 weeks
249-.07755 -.0145 (249*2π)/5132 weeks
250.00777 -.16448 (250*2π)/5132 weeks
251.0284 .04335 (251*2π)/5132 weeks
252-.09087 .01316 (252*2π)/5132 weeks
253-.03161 -.09555 (253*2π)/5132 weeks
254.093 -.02811 (254*2π)/5132 weeks
255.03551 .05467 (255*2π)/5132 weeks
256.01799 -.01396 (256*2π)/5132 weeks
257.01799 .01396 (257*2π)/5132 weeks
258.03551 -.05467 (258*2π)/5132 weeks
259.093 .02811 (259*2π)/5132 weeks
260-.03161 .09555 (260*2π)/5132 weeks
261-.09087 -.01316 (261*2π)/5132 weeks
262.0284 -.04335 (262*2π)/5132 weeks
263.00777 .16448 (263*2π)/5132 weeks
264-.07755 .0145 (264*2π)/5132 weeks
265.00393 .01857 (265*2π)/5132 weeks
266.02495 -.02481 (266*2π)/5132 weeks
267.00984 .00901 (267*2π)/5132 weeks
268-.03299 .06751 (268*2π)/5132 weeks
269-.05116 .03184 (269*2π)/5132 weeks
270-.08958 -.04424 (270*2π)/5132 weeks
271.07693 -.0873 (271*2π)/5132 weeks
272.0067 .06053 (272*2π)/5132 weeks
273-.07032 .03418 (273*2π)/5132 weeks
274-.03285 .01718 (274*2π)/5132 weeks
275.04458 -.0677 (275*2π)/5132 weeks
276.02853 .14863 (276*2π)/5132 weeks
277-.08595 -.07135 (277*2π)/5132 weeks
278.0167 -.07726 (278*2π)/5132 weeks
279.05182 -.02266 (279*2π)/5132 weeks
280.04523 .08683 (280*2π)/5132 weeks
281-.01405 -.02648 (281*2π)/5132 weeks
282-.01098 -.0184 (282*2π)/5132 weeks
283.10837 .00748 (283*2π)/5132 weeks
284-.05093 .01556 (284*2π)/5132 weeks
285.01067 -.08865 (285*2π)/5132 weeks
286.02925 .03864 (286*2π)/5132 weeks
287.04451 .04328 (287*2π)/5132 weeks
288-.03064 -.01636 (288*2π)/5132 weeks
289.01125 -.03605 (289*2π)/5132 weeks
290-.04141 .08523 (290*2π)/5132 weeks
291-.02508 .00004 (291*2π)/5132 weeks
292.05706 .01043 (292*2π)/5132 weeks
293-.03546 .08994 (293*2π)/5132 weeks
294-.02764 -.02633 (294*2π)/5132 weeks
295.03731 .0003 (295*2π)/5132 weeks
296.07167 .04198 (296*2π)/5132 weeks
297.04739 -.01146 (297*2π)/5132 weeks
298.03888 -.04191 (298*2π)/5132 weeks
299-.10137 .0589 (299*2π)/5132 weeks
300-.05242 -.04979 (300*2π)/5132 weeks
301.06537 .03933 (301*2π)/5132 weeks
302.00077 .00558 (302*2π)/5132 weeks
303-.06689 .00175 (303*2π)/5132 weeks
304-.00433 -.09662 (304*2π)/5132 weeks
305-.14838 -.02902 (305*2π)/5132 weeks
306-.00937 .04194 (306*2π)/5132 weeks
307.01378 .06601 (307*2π)/5132 weeks
308.07806 .00877 (308*2π)/5132 weeks
309.0513 .08443 (309*2π)/5132 weeks
310-.08495 -.06584 (310*2π)/5132 weeks
311-.02153 -.07107 (311*2π)/5132 weeks
312-.00588 .12 (312*2π)/5132 weeks
313-.15633 .02865 (313*2π)/5132 weeks
314-.08485 -.12861 (314*2π)/5132 weeks
315.11484 -.07322 (315*2π)/5132 weeks
316-.07353 .04795 (316*2π)/5132 weeks
317-.17055 -.03045 (317*2π)/5132 weeks
318-.02463 -.22708 (318*2π)/5132 weeks
319.2624 .0862 (319*2π)/5132 weeks
320-.07026 .13803 (320*2π)/5132 weeks
321-.15288 -.1836 (321*2π)/5132 weeks
322.09801 -.03475 (322*2π)/5132 weeks
323.05847 .06202 (323*2π)/5132 weeks
324-.06521 .03738 (324*2π)/5132 weeks
325-.02633 .01075 (325*2π)/5132 weeks
326.13941 -.04854 (326*2π)/5132 weeks
327.13381 .1294 (327*2π)/5132 weeks
328-.08915 .02079 (328*2π)/5132 weeks
329.05604 -.04264 (329*2π)/5132 weeks
330.103 .0997 (330*2π)/5132 weeks
331.00582 .05663 (331*2π)/5132 weeks
332-.08317 .01292 (332*2π)/5132 weeks
333.06576 .01489 (333*2π)/5132 weeks
334-.02185 .08033 (334*2π)/5132 weeks
335-.11818 .06262 (335*2π)/5132 weeks
336-.00611 -.04511 (336*2π)/5132 weeks
337.04949 .00407 (337*2π)/5132 weeks
338-.01561 .03395 (338*2π)/5132 weeks
339-.03158 .06816 (339*2π)/5132 weeks
340-.03734 -.03456 (340*2π)/5132 weeks
341.0115 .04237 (341*2π)/5132 weeks
342.03699 -.00224 (342*2π)/5132 weeks
343-.13506 -.01993 (343*2π)/5131 weeks
344-.01951 -.11525 (344*2π)/5131 weeks
345.03137 .08328 (345*2π)/5131 weeks
346.01115 -.01148 (346*2π)/5131 weeks
347.03321 -.02743 (347*2π)/5131 weeks
348.09365 -.08571 (348*2π)/5131 weeks
349.00839 .04226 (349*2π)/5131 weeks
350-.05625 -.15311 (350*2π)/5131 weeks
351-.02043 .02915 (351*2π)/5131 weeks
352.09718 .00253 (352*2π)/5131 weeks
353-.03762 .06676 (353*2π)/5131 weeks
354.00126 .07089 (354*2π)/5131 weeks
355-.12871 .01027 (355*2π)/5131 weeks
356.13426 -.02944 (356*2π)/5131 weeks
357-.02293 .17244 (357*2π)/5131 weeks
358-.11767 .03499 (358*2π)/5131 weeks
359.01934 -.13927 (359*2π)/5131 weeks
360.18238 .08914 (360*2π)/5131 weeks
361-.13986 -.0138 (361*2π)/5131 weeks
362-.1613 -.13815 (362*2π)/5131 weeks
363.17148 .00768 (363*2π)/5131 weeks
364.08342 .12272 (364*2π)/5131 weeks
365-.17624 .11687 (365*2π)/5131 weeks
366-.04707 -.07593 (366*2π)/5131 weeks
367.09942 -.00399 (367*2π)/5131 weeks
368-.05613 .10046 (368*2π)/5131 weeks
369.08005 .06212 (369*2π)/5131 weeks
370.06577 -.01132 (370*2π)/5131 weeks
371-.00064 -.2064 (371*2π)/5131 weeks
372.02369 -.04762 (372*2π)/5131 weeks
373-.12538 .09578 (373*2π)/5131 weeks
374-.04822 .04409 (374*2π)/5131 weeks
375.07594 -.05578 (375*2π)/5131 weeks
376.03291 .01336 (376*2π)/5131 weeks
377.02492 .06665 (377*2π)/5131 weeks
378-.00831 -.20925 (378*2π)/5131 weeks
379.0663 -.00324 (379*2π)/5131 weeks
380-.08813 .03203 (380*2π)/5131 weeks
381-.04908 -.082 (381*2π)/5131 weeks
382.03486 -.00908 (382*2π)/5131 weeks
383-.15974 -.02177 (383*2π)/5131 weeks
384-.00246 -.02596 (384*2π)/5131 weeks
385.02941 .12239 (385*2π)/5131 weeks
386-.05894 .00408 (386*2π)/5131 weeks
387-.0651 -.00936 (387*2π)/5131 weeks
388.08833 -.00412 (388*2π)/5131 weeks
389.06888 .00874 (389*2π)/5131 weeks
390.1247 .15294 (390*2π)/5131 weeks
391-.10726 .04949 (391*2π)/5131 weeks
392.114 -.19397 (392*2π)/5131 weeks
393.06619 .06022 (393*2π)/5131 weeks
394.06654 .02052 (394*2π)/5131 weeks
395-.07926 .01808 (395*2π)/5131 weeks
396.13365 -.1068 (396*2π)/5131 weeks
397-.09065 .03935 (397*2π)/5131 weeks
398.05317 -.02995 (398*2π)/5131 weeks
399.03081 .03524 (399*2π)/5131 weeks
400.16229 .10647 (400*2π)/5131 weeks
401.02671 .05292 (401*2π)/5131 weeks
402.1312 .21643 (402*2π)/5131 weeks
403-.13728 .17041 (403*2π)/5131 weeks
404.00451 .01244 (404*2π)/5131 weeks
405.03585 -.10234 (405*2π)/5131 weeks
406.09506 .12124 (406*2π)/5131 weeks
407-.13329 .01799 (407*2π)/5131 weeks
408.142 -.12739 (408*2π)/5131 weeks
409.02714 .02916 (409*2π)/5131 weeks
410.0061 .03548 (410*2π)/5131 weeks
411-.12534 .03179 (411*2π)/5131 weeks
412-.08306 -.05689 (412*2π)/5131 weeks
413-.18481 .07269 (413*2π)/5131 weeks
414-.00216 .03865 (414*2π)/5131 weeks
415.00448 .01929 (415*2π)/5131 weeks
416-.06992 .08724 (416*2π)/5131 weeks
417-.0009 -.08777 (417*2π)/5131 weeks
418.16268 .045 (418*2π)/5131 weeks
419-.02664 .27649 (419*2π)/5131 weeks
420-.2613 .0407 (420*2π)/5131 weeks
421.12546 -.14086 (421*2π)/5131 weeks
422.128 .29032 (422*2π)/5131 weeks
423-.19666 .15667 (423*2π)/5131 weeks
424-.01625 -.15836 (424*2π)/5131 weeks
425.0769 -.06144 (425*2π)/5131 weeks
426.00038 .28511 (426*2π)/5131 weeks
427-.28077 .14363 (427*2π)/5131 weeks
428-.17603 -.12322 (428*2π)/5131 weeks
429.2358 .07182 (429*2π)/5131 weeks
430.05349 .13364 (430*2π)/5131 weeks
431-.13849 .22542 (431*2π)/5131 weeks
432-.07909 -.01256 (432*2π)/5131 weeks
433.09961 .10157 (433*2π)/5131 weeks
434.22825 .24082 (434*2π)/5131 weeks
435-.13536 .05015 (435*2π)/5131 weeks
436.17317 -.04431 (436*2π)/5131 weeks
437-.17865 -.08103 (437*2π)/5131 weeks
438.16133 .07374 (438*2π)/5131 weeks
439.08862 .33294 (439*2π)/5131 weeks
440-.03389 -.03754 (440*2π)/5131 weeks
441-.16221 -.15344 (441*2π)/5131 weeks
442.29503 -.12907 (442*2π)/5131 weeks
443-.00261 .31993 (443*2π)/5131 weeks
444-.08948 -.06322 (444*2π)/5131 weeks
445-.09178 -.04954 (445*2π)/5131 weeks
446.3522 -.09166 (446*2π)/5131 weeks
447-.08754 .17191 (447*2π)/5131 weeks
448-.13502 -.03728 (448*2π)/5131 weeks
449.18807 -.12953 (449*2π)/5131 weeks
450.19942 .42535 (450*2π)/5131 weeks
451.06687 .03704 (451*2π)/5131 weeks
452-.17954 -.23222 (452*2π)/5131 weeks
453-.13129 -.22224 (453*2π)/5131 weeks
454.25168 .06672 (454*2π)/5131 weeks
455-.15774 .01216 (455*2π)/5131 weeks
456-.21521 .05822 (456*2π)/5131 weeks
457.14624 -.06566 (457*2π)/5131 weeks
458-.12686 -.03096 (458*2π)/5131 weeks
459.04108 .00426 (459*2π)/5131 weeks
460-.05432 .07006 (460*2π)/5131 weeks
461.05534 .11062 (461*2π)/5131 weeks
462-.11265 -.02182 (462*2π)/5131 weeks
463.12794 -.07342 (463*2π)/5131 weeks
464-.04357 .15393 (464*2π)/5131 weeks
465-.38062 -.22573 (465*2π)/5131 weeks
466.23335 -.2555 (466*2π)/5131 weeks
467.23607 .59455 (467*2π)/5131 weeks
468-.36424 .04686 (468*2π)/5131 weeks
469.21278 -.04233 (469*2π)/5131 weeks
470.12191 .30638 (470*2π)/5131 weeks
471-.50261 .00975 (471*2π)/5131 weeks
472.12396 .00172 (472*2π)/5131 weeks
473.19121 .02655 (473*2π)/5131 weeks
474.11167 .21096 (474*2π)/5131 weeks
475-.35449 -.18579 (475*2π)/5131 weeks
476.0129 -.27968 (476*2π)/5131 weeks
477.4094 .42293 (477*2π)/5131 weeks
478-.24076 .67335 (478*2π)/5131 weeks
479.25531 -.29423 (479*2π)/5131 weeks
480.84861 .53265 (480*2π)/5131 weeks
481-.16845 .58488 (481*2π)/5131 weeks
482-.31221 .09128 (482*2π)/5131 weeks
483.19853 .09667 (483*2π)/5131 weeks
484.24748 .16589 (484*2π)/5131 weeks
485-.13412 .3476 (485*2π)/5131 weeks
486-.45811 -.21906 (486*2π)/5131 weeks
487-.27847 -.17099 (487*2π)/5131 weeks
488.13615 .02609 (488*2π)/5131 weeks
489-.52043 -.01091 (489*2π)/5131 weeks
490-.47983 -.17596 (490*2π)/5131 weeks
491.15063 -.78932 (491*2π)/5131 weeks
4921.03499 .36938 (492*2π)/5131 weeks
493-.88192 .66632 (493*2π)/5131 weeks
494-.11171 -.86303 (494*2π)/5131 weeks
495.1934 .33894 (495*2π)/5131 weeks
496.63323 .51821 (496*2π)/5131 weeks
497-.57581 -.49743 (497*2π)/5131 weeks
498.32486 -.50945 (498*2π)/5131 weeks
499.32781 .3611 (499*2π)/5131 weeks
500-.85926 1.08725 (500*2π)/5131 weeks
501.63621 -1.05777 (501*2π)/5131 weeks
5022.00275 .24838 (502*2π)/5131 weeks
5031.27142 2.83686 (503*2π)/5131 weeks
504-1.9135 -.89489 (504*2π)/5131 weeks
5052.23725 -.84826 (505*2π)/5131 weeks
5064.65061 1.4058 (506*2π)/5131 weeks
507-.2238 3.37821 (507*2π)/5131 weeks
508-3.00822 -.36128 (508*2π)/5131 weeks
5094.32474 -3.29407 (509*2π)/5131 weeks
5103.8427 9.04674 (510*2π)/5131 weeks
511-3.3433 7.55388 (511*2π)/5131 weeks