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# Fourier Analysis of SLX (VanEck Vectors Steel ETF)

SLX (VanEck Vectors Steel ETF) appears to have interesting cyclic behaviour every 50 weeks (2.4155*sine), 46 weeks (2.042*sine), and 46 weeks (1.9501*cosine).

SLX (VanEck Vectors Steel ETF) has an average price of 41.57 (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 10/17/2006 to 4/16/2018 for SLX (VanEck Vectors Steel ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
041.56936   0
1-.02338 9.3805 (1*2π)/601601 weeks
24.62348 2.32662 (2*2π)/601301 weeks
34.25028 3.9204 (3*2π)/601200 weeks
4-7.20094 .19482 (4*2π)/601150 weeks
5-5.17938 -2.40395 (5*2π)/601120 weeks
6-.65385 -3.06779 (6*2π)/601100 weeks
72.43923 -3.25487 (7*2π)/60186 weeks
83.64169 1.21418 (8*2π)/60175 weeks
9-.5391 1.43056 (9*2π)/60167 weeks
10-1.7614 -.90029 (10*2π)/60160 weeks
11-.97125 -.55233 (11*2π)/60155 weeks
12-1.14165 -2.4155 (12*2π)/60150 weeks
131.95013 -2.04196 (13*2π)/60146 weeks
14-.26954 -.26049 (14*2π)/60143 weeks
15.31745 1.33987 (15*2π)/60140 weeks
16-.87933 .2294 (16*2π)/60138 weeks
17-.60472 -.42495 (17*2π)/60135 weeks
18-.31517 -.5254 (18*2π)/60133 weeks
19.34455 -1.71856 (19*2π)/60132 weeks
20.82765 -.78248 (20*2π)/60130 weeks
21.1342 -.46433 (21*2π)/60129 weeks
22.25405 .29973 (22*2π)/60127 weeks
23-.16362 -.0521 (23*2π)/60126 weeks
24-.16577 .04489 (24*2π)/60125 weeks
25-.65486 -.20838 (25*2π)/60124 weeks
26-.2774 .17618 (26*2π)/60123 weeks
27-.15011 .34338 (27*2π)/60122 weeks
28-.56024 .16788 (28*2π)/60121 weeks
29-.47299 -1.09364 (29*2π)/60121 weeks
30-.01415 -.16495 (30*2π)/60120 weeks
31.01609 -.02973 (31*2π)/60119 weeks
32.25039 .31104 (32*2π)/60119 weeks
33-.06659 -.005 (33*2π)/60118 weeks
34-.06931 -.19253 (34*2π)/60118 weeks
35-.06354 -.5601 (35*2π)/60117 weeks
36.3308 -.37709 (36*2π)/60117 weeks
37.34511 .81669 (37*2π)/60116 weeks
38-.47784 .40166 (38*2π)/60116 weeks
39.00921 .22998 (39*2π)/60115 weeks
40-.01609 -.22881 (40*2π)/60115 weeks
41.04003 -.27061 (41*2π)/60115 weeks
42-.15979 -.25195 (42*2π)/60114 weeks
43.24327 -.30485 (43*2π)/60114 weeks
44.26735 .34145 (44*2π)/60114 weeks
45-.6082 -.04395 (45*2π)/60113 weeks
46.17636 -.18621 (46*2π)/60113 weeks
47-.04871 -.18403 (47*2π)/60113 weeks
48.09209 -.42112 (48*2π)/60113 weeks
49.14103 -.18173 (49*2π)/60112 weeks
50.37246 -.01753 (50*2π)/60112 weeks
51.07359 .30553 (51*2π)/60112 weeks
52-.33838 -.0954 (52*2π)/60112 weeks
53-.3536 .05301 (53*2π)/60111 weeks
54-.05341 -.12543 (54*2π)/60111 weeks
55-.34062 -.0208 (55*2π)/60111 weeks
56-.16772 -.21019 (56*2π)/60111 weeks
57-.03862 -.03385 (57*2π)/60111 weeks
58-.0888 -.22602 (58*2π)/60110 weeks
59.02494 -.26699 (59*2π)/60110 weeks
60.01148 -.32951 (60*2π)/60110 weeks
61.39973 -.08996 (61*2π)/60110 weeks
62-.16414 .29813 (62*2π)/60110 weeks
63-.11477 .08506 (63*2π)/60110 weeks
64-.11937 .02787 (64*2π)/6019 weeks
65-.14894 -.13506 (65*2π)/6019 weeks
66.15588 -.21133 (66*2π)/6019 weeks
67-.0217 -.00144 (67*2π)/6019 weeks
68-.02358 -.17146 (68*2π)/6019 weeks
69.23522 .03268 (69*2π)/6019 weeks
70.0207 -.11803 (70*2π)/6019 weeks
71-.10329 .07635 (71*2π)/6018 weeks
72-.10467 .04193 (72*2π)/6018 weeks
73.23972 -.04978 (73*2π)/6018 weeks
74.02676 -.15156 (74*2π)/6018 weeks
75.16623 -.21042 (75*2π)/6018 weeks
76.00846 .03279 (76*2π)/6018 weeks
77-.00786 -.37332 (77*2π)/6018 weeks
78.14774 -.27855 (78*2π)/6018 weeks
79.21417 .15426 (79*2π)/6018 weeks
80.25209 .24768 (80*2π)/6018 weeks
81-.31018 .10895 (81*2π)/6017 weeks
82-.00032 -.22442 (82*2π)/6017 weeks
83.09287 .06889 (83*2π)/6017 weeks
84-.30421 -.14998 (84*2π)/6017 weeks
85.25489 -.05051 (85*2π)/6017 weeks
86-.01948 .1532 (86*2π)/6017 weeks
87-.07593 -.15187 (87*2π)/6017 weeks
88-.00293 -.03725 (88*2π)/6017 weeks
89-.00814 -.2955 (89*2π)/6017 weeks
90.13525 .13491 (90*2π)/6017 weeks
91-.05528 -.24517 (91*2π)/6017 weeks
92.03286 -.04223 (92*2π)/6017 weeks
93-.0866 -.2354 (93*2π)/6016 weeks
94-.01145 -.28856 (94*2π)/6016 weeks
95-.04995 -.15551 (95*2π)/6016 weeks
96.08997 .06195 (96*2π)/6016 weeks
97-.00417 .17201 (97*2π)/6016 weeks
98-.23541 -.06462 (98*2π)/6016 weeks
99-.09754 -.21762 (99*2π)/6016 weeks
100-.06441 -.14518 (100*2π)/6016 weeks
101-.04179 .01781 (101*2π)/6016 weeks
102-.13812 -.01147 (102*2π)/6016 weeks
103-.04601 -.0762 (103*2π)/6016 weeks
104.03037 .14115 (104*2π)/6016 weeks
105-.07403 -.06313 (105*2π)/6016 weeks
106-.23908 -.16526 (106*2π)/6016 weeks
107-.01472 -.08162 (107*2π)/6016 weeks
108.081 .04863 (108*2π)/6016 weeks
109.14308 -.04207 (109*2π)/6016 weeks
110.00994 -.02698 (110*2π)/6015 weeks
111-.07834 .01724 (111*2π)/6015 weeks
112-.16514 .01212 (112*2π)/6015 weeks
113-.01692 .01044 (113*2π)/6015 weeks
114-.06535 .08572 (114*2π)/6015 weeks
115.02968 .07049 (115*2π)/6015 weeks
116-.18248 -.13643 (116*2π)/6015 weeks
117-.07334 -.00509 (117*2π)/6015 weeks
118-.03112 -.09991 (118*2π)/6015 weeks
119.15041 -.08134 (119*2π)/6015 weeks
120-.11639 .01546 (120*2π)/6015 weeks
121-.17636 .00329 (121*2π)/6015 weeks
122-.11751 -.13627 (122*2π)/6015 weeks
123.08527 -.05566 (123*2π)/6015 weeks
124.01904 -.11866 (124*2π)/6015 weeks
125.27001 .07001 (125*2π)/6015 weeks
126-.05602 .15689 (126*2π)/6015 weeks
127-.03508 .05803 (127*2π)/6015 weeks
128-.04735 -.01166 (128*2π)/6015 weeks
129-.17647 -.13388 (129*2π)/6015 weeks
130-.00903 -.21685 (130*2π)/6015 weeks
131.05001 -.01689 (131*2π)/6015 weeks
132.00248 -.02359 (132*2π)/6015 weeks
133-.06583 -.00731 (133*2π)/6015 weeks
134-.07475 -.10633 (134*2π)/6014 weeks
135.19185 -.04957 (135*2π)/6014 weeks
136-.08191 .01297 (136*2π)/6014 weeks
137-.02326 .07568 (137*2π)/6014 weeks
138-.10754 -.06878 (138*2π)/6014 weeks
139.04368 -.02617 (139*2π)/6014 weeks
140-.05649 .01303 (140*2π)/6014 weeks
141-.13796 -.13198 (141*2π)/6014 weeks
142.04827 -.23349 (142*2π)/6014 weeks
143.0007 .02545 (143*2π)/6014 weeks
144.01363 -.01788 (144*2π)/6014 weeks
145.09809 -.04311 (145*2π)/6014 weeks
146.00903 .01709 (146*2π)/6014 weeks
147-.15533 .06029 (147*2π)/6014 weeks
148-.07838 -.03304 (148*2π)/6014 weeks
149-.14195 -.11144 (149*2π)/6014 weeks
150.07389 -.09113 (150*2π)/6014 weeks
151-.12551 .18789 (151*2π)/6014 weeks
152-.21242 -.06665 (152*2π)/6014 weeks
153-.03276 -.0936 (153*2π)/6014 weeks
154.00545 -.10035 (154*2π)/6014 weeks
155.03418 -.02161 (155*2π)/6014 weeks
156-.17298 -.00117 (156*2π)/6014 weeks
157-.02918 -.03989 (157*2π)/6014 weeks
158-.09744 .04153 (158*2π)/6014 weeks
159-.10408 -.09322 (159*2π)/6014 weeks
160.02 -.08183 (160*2π)/6014 weeks
161-.05037 -.08379 (161*2π)/6014 weeks
162.10763 -.00976 (162*2π)/6014 weeks
163-.02587 .00899 (163*2π)/6014 weeks
164-.01107 .05826 (164*2π)/6014 weeks
165-.13093 .02571 (165*2π)/6014 weeks
166-.02349 -.03571 (166*2π)/6014 weeks
167-.01921 .02226 (167*2π)/6014 weeks
168-.03946 -.03577 (168*2π)/6014 weeks
169-.04302 -.0506 (169*2π)/6014 weeks
170-.04712 -.04215 (170*2π)/6014 weeks
171-.04842 .0076 (171*2π)/6014 weeks
172-.01229 .02837 (172*2π)/6013 weeks
173.07916 -.13971 (173*2π)/6013 weeks
174.11827 .05823 (174*2π)/6013 weeks
175-.0193 .07471 (175*2π)/6013 weeks
176.05614 .01258 (176*2π)/6013 weeks
177-.06251 .09485 (177*2π)/6013 weeks
178-.12188 -.01722 (178*2π)/6013 weeks
179-.07848 -.08142 (179*2π)/6013 weeks
180-.01663 .01308 (180*2π)/6013 weeks
181.04943 .05649 (181*2π)/6013 weeks
182-.09601 .10274 (182*2π)/6013 weeks
183-.0918 -.04029 (183*2π)/6013 weeks
184-.02072 -.10192 (184*2π)/6013 weeks
185-.00232 -.09106 (185*2π)/6013 weeks
186.04613 -.01962 (186*2π)/6013 weeks
187.01899 -.05001 (187*2π)/6013 weeks
188-.0481 .02172 (188*2π)/6013 weeks
189.00044 -.01643 (189*2π)/6013 weeks
190-.01835 -.03847 (190*2π)/6013 weeks
191.05996 -.0317 (191*2π)/6013 weeks
192.01389 .01644 (192*2π)/6013 weeks
193.03238 .04018 (193*2π)/6013 weeks
194-.04196 .09138 (194*2π)/6013 weeks
195-.14144 -.04096 (195*2π)/6013 weeks
196-.04783 -.11025 (196*2π)/6013 weeks
197-.00396 -.15735 (197*2π)/6013 weeks
198.0605 -.0718 (198*2π)/6013 weeks
199.05335 -.01453 (199*2π)/6013 weeks
200-.03138 -.06985 (200*2π)/6013 weeks
201-.17155 -.03582 (201*2π)/6013 weeks
202-.10109 -.04399 (202*2π)/6013 weeks
203-.10867 -.12804 (203*2π)/6013 weeks
204.09694 -.12835 (204*2π)/6013 weeks
205.03278 -.05989 (205*2π)/6013 weeks
206.09026 -.04387 (206*2π)/6013 weeks
207.08286 .11631 (207*2π)/6013 weeks
208-.02122 .08032 (208*2π)/6013 weeks
209-.13519 .04811 (209*2π)/6013 weeks
210-.21447 -.02153 (210*2π)/6013 weeks
211-.04704 -.09738 (211*2π)/6013 weeks
212-.1615 -.13382 (212*2π)/6013 weeks
213.10712 -.21736 (213*2π)/6013 weeks
214.0617 .10212 (214*2π)/6013 weeks
215-.0395 .08852 (215*2π)/6013 weeks
216-.12366 .08469 (216*2π)/6013 weeks
217-.11639 -.01084 (217*2π)/6013 weeks
218-.02998 .03567 (218*2π)/6013 weeks
219-.13929 .07038 (219*2π)/6013 weeks
220.0062 -.06179 (220*2π)/6013 weeks
221-.07027 .05681 (221*2π)/6013 weeks
222-.07458 -.09298 (222*2π)/6013 weeks
223-.08171 .00995 (223*2π)/6013 weeks
224-.11379 -.12568 (224*2π)/6013 weeks
225.00399 -.05515 (225*2π)/6013 weeks
226.05118 .04312 (226*2π)/6013 weeks
227-.00069 .06992 (227*2π)/6013 weeks
228-.11388 .01759 (228*2π)/6013 weeks
229-.08398 -.03608 (229*2π)/6013 weeks
230.00119 -.02398 (230*2π)/6013 weeks
231-.02534 -.02663 (231*2π)/6013 weeks
232.0191 -.02995 (232*2π)/6013 weeks
233-.10467 .03783 (233*2π)/6013 weeks
234.03218 -.11381 (234*2π)/6013 weeks
235-.00816 .00563 (235*2π)/6013 weeks
236.01196 .07357 (236*2π)/6013 weeks
237-.07262 .08962 (237*2π)/6013 weeks
238-.05223 -.10829 (238*2π)/6013 weeks
239.05983 -.0687 (239*2π)/6013 weeks
240.06796 .01101 (240*2π)/6013 weeks
241-.06552 .00592 (241*2π)/6012 weeks
242.01144 -.10341 (242*2π)/6012 weeks
243-.0387 .01381 (243*2π)/6012 weeks
244-.08259 -.03785 (244*2π)/6012 weeks
245.07028 -.05475 (245*2π)/6012 weeks
246-.01739 .0294 (246*2π)/6012 weeks
247.03645 .01116 (247*2π)/6012 weeks
248.02392 .03305 (248*2π)/6012 weeks
249.02331 .01791 (249*2π)/6012 weeks
250-.04062 .12087 (250*2π)/6012 weeks
251-.05504 .02767 (251*2π)/6012 weeks
252-.01203 -.02613 (252*2π)/6012 weeks
253-.03981 -.06495 (253*2π)/6012 weeks
254-.0641 -.03991 (254*2π)/6012 weeks
255-.12939 .02599 (255*2π)/6012 weeks
256-.11849 .03176 (256*2π)/6012 weeks
257-.14326 .06456 (257*2π)/6012 weeks
258-.08139 -.00947 (258*2π)/6012 weeks
259-.01354 -.02846 (259*2π)/6012 weeks
260.0371 -.06501 (260*2π)/6012 weeks
261.14517 -.00742 (261*2π)/6012 weeks
262-.07512 .05227 (262*2π)/6012 weeks
263-.04266 -.00617 (263*2π)/6012 weeks
264-.14008 .07755 (264*2π)/6012 weeks
265-.06687 -.05542 (265*2π)/6012 weeks
266-.00305 .10594 (266*2π)/6012 weeks
267-.06072 .01362 (267*2π)/6012 weeks
268.00684 .0351 (268*2π)/6012 weeks
269-.05492 -.00114 (269*2π)/6012 weeks
270-.10333 -.1186 (270*2π)/6012 weeks
271-.01719 -.01855 (271*2π)/6012 weeks
272.09005 -.04928 (272*2π)/6012 weeks
273.04622 .07176 (273*2π)/6012 weeks
274-.11659 .1014 (274*2π)/6012 weeks
275-.04077 .01041 (275*2π)/6012 weeks
276-.05102 .0092 (276*2π)/6012 weeks
277-.07156 .02311 (277*2π)/6012 weeks
278.01557 -.02821 (278*2π)/6012 weeks
279.09887 -.08278 (279*2π)/6012 weeks
280-.02211 .15731 (280*2π)/6012 weeks
281-.15219 -.04633 (281*2π)/6012 weeks
282-.02026 -.03917 (282*2π)/6012 weeks
283-.08125 .04134 (283*2π)/6012 weeks
284.02519 -.06171 (284*2π)/6012 weeks
285.07747 .02594 (285*2π)/6012 weeks
286-.03881 .02899 (286*2π)/6012 weeks
287-.13581 -.04291 (287*2π)/6012 weeks
288.00685 .09901 (288*2π)/6012 weeks
289-.10046 .05501 (289*2π)/6012 weeks
290-.03564 .0055 (290*2π)/6012 weeks
291.00507 -.03568 (291*2π)/6012 weeks
292-.1071 .03592 (292*2π)/6012 weeks
293-.08172 -.1497 (293*2π)/6012 weeks
294.11259 -.05718 (294*2π)/6012 weeks
295.01942 .06332 (295*2π)/6012 weeks
296-.04469 -.00478 (296*2π)/6012 weeks
297-.06375 .04032 (297*2π)/6012 weeks
298.01671 .02372 (298*2π)/6012 weeks
299-.05054 .01149 (299*2π)/6012 weeks
300.10303 -.13299 (300*2π)/6012 weeks
301.10303 .13299 (301*2π)/6012 weeks
302-.05054 -.01149 (302*2π)/6012 weeks
303.01671 -.02372 (303*2π)/6012 weeks
304-.06375 -.04032 (304*2π)/6012 weeks
305-.04469 .00478 (305*2π)/6012 weeks
306.01942 -.06332 (306*2π)/6012 weeks
307.11259 .05718 (307*2π)/6012 weeks
308-.08172 .1497 (308*2π)/6012 weeks
309-.1071 -.03592 (309*2π)/6012 weeks
310.00507 .03568 (310*2π)/6012 weeks
311-.03564 -.0055 (311*2π)/6012 weeks
312-.10046 -.05501 (312*2π)/6012 weeks
313.00685 -.09901 (313*2π)/6012 weeks
314-.13581 .04291 (314*2π)/6012 weeks
315-.03881 -.02899 (315*2π)/6012 weeks
316.07747 -.02594 (316*2π)/6012 weeks
317.02519 .06171 (317*2π)/6012 weeks
318-.08125 -.04134 (318*2π)/6012 weeks
319-.02026 .03917 (319*2π)/6012 weeks
320-.15219 .04633 (320*2π)/6012 weeks
321-.02211 -.15731 (321*2π)/6012 weeks
322.09887 .08278 (322*2π)/6012 weeks
323.01557 .02821 (323*2π)/6012 weeks
324-.07156 -.02311 (324*2π)/6012 weeks
325-.05102 -.0092 (325*2π)/6012 weeks
326-.04077 -.01041 (326*2π)/6012 weeks
327-.11659 -.1014 (327*2π)/6012 weeks
328.04622 -.07176 (328*2π)/6012 weeks
329.09005 .04928 (329*2π)/6012 weeks
330-.01719 .01855 (330*2π)/6012 weeks
331-.10333 .1186 (331*2π)/6012 weeks
332-.05492 .00114 (332*2π)/6012 weeks
333.00684 -.0351 (333*2π)/6012 weeks
334-.06072 -.01362 (334*2π)/6012 weeks
335-.00305 -.10594 (335*2π)/6012 weeks
336-.06687 .05542 (336*2π)/6012 weeks
337-.14008 -.07755 (337*2π)/6012 weeks
338-.04266 .00617 (338*2π)/6012 weeks
339-.07512 -.05227 (339*2π)/6012 weeks
340.14517 .00742 (340*2π)/6012 weeks
341.0371 .06501 (341*2π)/6012 weeks
342-.01354 .02846 (342*2π)/6012 weeks
343-.08139 .00947 (343*2π)/6012 weeks
344-.14326 -.06456 (344*2π)/6012 weeks
345-.11849 -.03176 (345*2π)/6012 weeks
346-.12939 -.02599 (346*2π)/6012 weeks
347-.0641 .03991 (347*2π)/6012 weeks
348-.03981 .06495 (348*2π)/6012 weeks
349-.01203 .02613 (349*2π)/6012 weeks
350-.05504 -.02767 (350*2π)/6012 weeks
351-.04062 -.12087 (351*2π)/6012 weeks
352.02331 -.01791 (352*2π)/6012 weeks
353.02392 -.03305 (353*2π)/6012 weeks
354.03645 -.01116 (354*2π)/6012 weeks
355-.01739 -.0294 (355*2π)/6012 weeks
356.07028 .05475 (356*2π)/6012 weeks
357-.08259 .03785 (357*2π)/6012 weeks
358-.0387 -.01381 (358*2π)/6012 weeks
359.01144 .10341 (359*2π)/6012 weeks
360-.06552 -.00592 (360*2π)/6012 weeks
361.06796 -.01101 (361*2π)/6012 weeks
362.05983 .0687 (362*2π)/6012 weeks
363-.05223 .10829 (363*2π)/6012 weeks
364-.07262 -.08962 (364*2π)/6012 weeks
365.01196 -.07357 (365*2π)/6012 weeks
366-.00816 -.00563 (366*2π)/6012 weeks
367.03218 .11381 (367*2π)/6012 weeks
368-.10467 -.03783 (368*2π)/6012 weeks
369.0191 .02995 (369*2π)/6012 weeks
370-.02534 .02663 (370*2π)/6012 weeks
371.00119 .02398 (371*2π)/6012 weeks
372-.08398 .03608 (372*2π)/6012 weeks
373-.11388 -.01759 (373*2π)/6012 weeks
374-.00069 -.06992 (374*2π)/6012 weeks
375.05118 -.04312 (375*2π)/6012 weeks
376.00399 .05515 (376*2π)/6012 weeks
377-.11379 .12568 (377*2π)/6012 weeks
378-.08171 -.00995 (378*2π)/6012 weeks
379-.07458 .09298 (379*2π)/6012 weeks
380-.07027 -.05681 (380*2π)/6012 weeks
381.0062 .06179 (381*2π)/6012 weeks
382-.13929 -.07038 (382*2π)/6012 weeks
383-.02998 -.03567 (383*2π)/6012 weeks
384-.11639 .01084 (384*2π)/6012 weeks
385-.12366 -.08469 (385*2π)/6012 weeks
386-.0395 -.08852 (386*2π)/6012 weeks
387.0617 -.10212 (387*2π)/6012 weeks
388.10712 .21736 (388*2π)/6012 weeks
389-.1615 .13382 (389*2π)/6012 weeks
390-.04704 .09738 (390*2π)/6012 weeks
391-.21447 .02153 (391*2π)/6012 weeks
392-.13519 -.04811 (392*2π)/6012 weeks
393-.02122 -.08032 (393*2π)/6012 weeks
394.08286 -.11631 (394*2π)/6012 weeks
395.09026 .04387 (395*2π)/6012 weeks
396.03278 .05989 (396*2π)/6012 weeks
397.09694 .12835 (397*2π)/6012 weeks
398-.10867 .12804 (398*2π)/6012 weeks
399-.10109 .04399 (399*2π)/6012 weeks
400-.17155 .03582 (400*2π)/6012 weeks
401-.03138 .06985 (401*2π)/6011 weeks
402.05335 .01453 (402*2π)/6011 weeks
403.0605 .0718 (403*2π)/6011 weeks
404-.00396 .15735 (404*2π)/6011 weeks
405-.04783 .11025 (405*2π)/6011 weeks
406-.14144 .04096 (406*2π)/6011 weeks
407-.04196 -.09138 (407*2π)/6011 weeks
408.03238 -.04018 (408*2π)/6011 weeks
409.01389 -.01644 (409*2π)/6011 weeks
410.05996 .0317 (410*2π)/6011 weeks
411-.01835 .03847 (411*2π)/6011 weeks
412.00044 .01643 (412*2π)/6011 weeks
413-.0481 -.02172 (413*2π)/6011 weeks
414.01899 .05001 (414*2π)/6011 weeks
415.04613 .01962 (415*2π)/6011 weeks
416-.00232 .09106 (416*2π)/6011 weeks
417-.02072 .10192 (417*2π)/6011 weeks
418-.0918 .04029 (418*2π)/6011 weeks
419-.09601 -.10274 (419*2π)/6011 weeks
420.04943 -.05649 (420*2π)/6011 weeks
421-.01663 -.01308 (421*2π)/6011 weeks
422-.07848 .08142 (422*2π)/6011 weeks
423-.12188 .01722 (423*2π)/6011 weeks
424-.06251 -.09485 (424*2π)/6011 weeks
425.05614 -.01258 (425*2π)/6011 weeks
426-.0193 -.07471 (426*2π)/6011 weeks
427.11827 -.05823 (427*2π)/6011 weeks
428.07916 .13971 (428*2π)/6011 weeks
429-.01229 -.02837 (429*2π)/6011 weeks
430-.04842 -.0076 (430*2π)/6011 weeks
431-.04712 .04215 (431*2π)/6011 weeks
432-.04302 .0506 (432*2π)/6011 weeks
433-.03946 .03577 (433*2π)/6011 weeks
434-.01921 -.02226 (434*2π)/6011 weeks
435-.02349 .03571 (435*2π)/6011 weeks
436-.13093 -.02571 (436*2π)/6011 weeks
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