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# Fourier Analysis of VLKAY (Volkswagen Aktiengesellschaft)

VLKAY (Volkswagen Aktiengesellschaft) appears to have interesting cyclic behaviour every 43 weeks (2.3161*cosine), 33 weeks (1.4582*sine), and 31 weeks (1.2661*cosine).

VLKAY (Volkswagen Aktiengesellschaft) has an average price of 35.26 (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 7/13/2007 to 4/23/2018 for VLKAY (Volkswagen Aktiengesellschaft), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
035.25504   0
12.31336 -3.72745 (1*2π)/564564 weeks
23.57577 11.62856 (2*2π)/564282 weeks
3-1.53281 2.57174 (3*2π)/564188 weeks
4-3.96058 -3.9693 (4*2π)/564141 weeks
51.22172 -4.28362 (5*2π)/564113 weeks
62.28131 .26121 (6*2π)/56494 weeks
71.93494 1.03079 (7*2π)/56481 weeks
81.21557 -.12765 (8*2π)/56471 weeks
9-2.49061 .5378 (9*2π)/56463 weeks
10-.32479 .45137 (10*2π)/56456 weeks
11.8552 -.38737 (11*2π)/56451 weeks
12-1.17338 -.00747 (12*2π)/56447 weeks
13-2.31605 -.93318 (13*2π)/56443 weeks
14.34928 -.49769 (14*2π)/56440 weeks
15-.33432 -1.25579 (15*2π)/56438 weeks
161.14157 -.31737 (16*2π)/56435 weeks
17.39373 1.4582 (17*2π)/56433 weeks
18-1.26614 1.18505 (18*2π)/56431 weeks
19-1.25792 .0733 (19*2π)/56430 weeks
20-1.21175 -.48263 (20*2π)/56428 weeks
21-1.04095 -1.3993 (21*2π)/56427 weeks
22.66787 -.51128 (22*2π)/56426 weeks
23.72341 -.30098 (23*2π)/56425 weeks
24-.00182 .41486 (24*2π)/56424 weeks
25.18202 .06519 (25*2π)/56423 weeks
26-.51123 .45057 (26*2π)/56422 weeks
27-.04637 -.18262 (27*2π)/56421 weeks
28-.12819 -.19106 (28*2π)/56420 weeks
29-.87262 -.70569 (29*2π)/56419 weeks
30-.33101 -.74742 (30*2π)/56419 weeks
31.59616 -.56076 (31*2π)/56418 weeks
321.0529 .0173 (32*2π)/56418 weeks
33.49885 .45321 (33*2π)/56417 weeks
34-.34045 .57913 (34*2π)/56417 weeks
35-.14707 .04991 (35*2π)/56416 weeks
36-.48272 -.33419 (36*2π)/56416 weeks
37.34593 -.60674 (37*2π)/56415 weeks
38.10525 -.05609 (38*2π)/56415 weeks
39-.05143 -.20229 (39*2π)/56414 weeks
40.28183 -.16696 (40*2π)/56414 weeks
41.39802 .17413 (41*2π)/56414 weeks
42.36051 -.46084 (42*2π)/56413 weeks
43.28929 .828 (43*2π)/56413 weeks
44-.40751 .49356 (44*2π)/56413 weeks
45-.49806 -.27958 (45*2π)/56413 weeks
46-.43987 -.6728 (46*2π)/56412 weeks
47-.05601 -.64566 (47*2π)/56412 weeks
48.64279 -.28589 (48*2π)/56412 weeks
49.24576 .32383 (49*2π)/56412 weeks
50.06029 .48378 (50*2π)/56411 weeks
51-.14365 -.11615 (51*2π)/56411 weeks
52-.38867 .29359 (52*2π)/56411 weeks
53-.52137 -.06469 (53*2π)/56411 weeks
54-.29326 -.3484 (54*2π)/56410 weeks
55-.22417 -.45706 (55*2π)/56410 weeks
56.20941 -.57658 (56*2π)/56410 weeks
57.61847 -.31436 (57*2π)/56410 weeks
58.00545 .29103 (58*2π)/56410 weeks
59-.23426 .38741 (59*2π)/56410 weeks
60-.44227 .03317 (60*2π)/5649 weeks
61-.60326 -.09807 (61*2π)/5649 weeks
62-.29149 -.65774 (62*2π)/5649 weeks
63-.04458 -.18738 (63*2π)/5649 weeks
64.09451 -.08542 (64*2π)/5649 weeks
65.3054 -.06023 (65*2π)/5649 weeks
66.07748 .00529 (66*2π)/5649 weeks
67-.03863 .12899 (67*2π)/5648 weeks
68.14146 .18902 (68*2π)/5648 weeks
69-.11038 .14614 (69*2π)/5648 weeks
70-.28272 -.04461 (70*2π)/5648 weeks
71-.51093 -.42084 (71*2π)/5648 weeks
72.01232 -.45418 (72*2π)/5648 weeks
73.34805 -.45617 (73*2π)/5648 weeks
74.51394 .05628 (74*2π)/5648 weeks
75.20286 .31538 (75*2π)/5648 weeks
76-.24226 .5289 (76*2π)/5647 weeks
77-.28355 .02751 (77*2π)/5647 weeks
78-.28784 -.35709 (78*2π)/5647 weeks
79-.36425 -.21279 (79*2π)/5647 weeks
80.21082 -.42377 (80*2π)/5647 weeks
81.24078 -.26114 (81*2π)/5647 weeks
82.17535 -.03914 (82*2π)/5647 weeks
83.32087 -.01741 (83*2π)/5647 weeks
84-.1039 .52441 (84*2π)/5647 weeks
85-.25703 .19466 (85*2π)/5647 weeks
86-.32081 .01838 (86*2π)/5647 weeks
87-.54774 -.51344 (87*2π)/5646 weeks
88-.09621 -.68197 (88*2π)/5646 weeks
89.24567 -.29779 (89*2π)/5646 weeks
90.48187 .19331 (90*2π)/5646 weeks
91.09811 .29155 (91*2π)/5646 weeks
92-.28812 .31677 (92*2π)/5646 weeks
93-.44671 -.01707 (93*2π)/5646 weeks
94-.2459 -.18002 (94*2π)/5646 weeks
95.0185 -.2819 (95*2π)/5646 weeks
96-.02291 -.2539 (96*2π)/5646 weeks
97.00009 -.10956 (97*2π)/5646 weeks
98.22178 -.04473 (98*2π)/5646 weeks
99.08479 -.06614 (99*2π)/5646 weeks
100.01975 .1362 (100*2π)/5646 weeks
101-.03217 .30069 (101*2π)/5646 weeks
102-.2178 .13836 (102*2π)/5646 weeks
103-.23216 -.16821 (103*2π)/5645 weeks
104-.1782 -.26082 (104*2π)/5645 weeks
105.07292 -.14677 (105*2π)/5645 weeks
106.27533 -.08784 (106*2π)/5645 weeks
107.15782 .09068 (107*2π)/5645 weeks
108.12457 -.00022 (108*2π)/5645 weeks
109-.18357 .21383 (109*2π)/5645 weeks
110-.03098 .16746 (110*2π)/5645 weeks
111-.26551 -.05173 (111*2π)/5645 weeks
112-.26231 -.36947 (112*2π)/5645 weeks
113-.11304 -.22462 (113*2π)/5645 weeks
114.10712 -.1975 (114*2π)/5645 weeks
115.34575 -.04907 (115*2π)/5645 weeks
116.10325 .11142 (116*2π)/5645 weeks
117-.03068 .28725 (117*2π)/5645 weeks
118-.24801 .17 (118*2π)/5645 weeks
119-.17638 -.02275 (119*2π)/5645 weeks
120-.22996 -.37013 (120*2π)/5645 weeks
121.01028 -.22436 (121*2π)/5645 weeks
122.11588 -.09582 (122*2π)/5645 weeks
123.21226 .01891 (123*2π)/5645 weeks
124.11224 .02329 (124*2π)/5645 weeks
125-.07903 .23934 (125*2π)/5645 weeks
126-.14625 .14351 (126*2π)/5644 weeks
127-.27658 -.02023 (127*2π)/5644 weeks
128-.16777 -.11939 (128*2π)/5644 weeks
129-.07243 -.28373 (129*2π)/5644 weeks
130.12437 -.20721 (130*2π)/5644 weeks
131.11167 .00673 (131*2π)/5644 weeks
132.06145 -.01122 (132*2π)/5644 weeks
133-.05406 .17368 (133*2π)/5644 weeks
134-.13934 .10597 (134*2π)/5644 weeks
135-.09656 -.07983 (135*2π)/5644 weeks
136-.08254 -.19034 (136*2π)/5644 weeks
137-.13625 -.13477 (137*2π)/5644 weeks
138.11308 -.0399 (138*2π)/5644 weeks
139.16329 -.03854 (139*2π)/5644 weeks
140.06567 .01009 (140*2π)/5644 weeks
141-.03382 .01423 (141*2π)/5644 weeks
142-.0171 .07708 (142*2π)/5644 weeks
143-.03368 .10756 (143*2π)/5644 weeks
144.00123 -.04033 (144*2π)/5644 weeks
145-.05334 .05228 (145*2π)/5644 weeks
146-.15353 .00489 (146*2π)/5644 weeks
147.0498 -.00554 (147*2π)/5644 weeks
148.06799 .03456 (148*2π)/5644 weeks
149.05437 -.05004 (149*2π)/5644 weeks
150.04603 .04986 (150*2π)/5644 weeks
151.09312 .22749 (151*2π)/5644 weeks
152-.0703 -.07706 (152*2π)/5644 weeks
153-.12431 .04818 (153*2π)/5644 weeks
154-.1898 -.04811 (154*2π)/5644 weeks
155-.03934 -.08461 (155*2π)/5644 weeks
156.05521 -.1124 (156*2π)/5644 weeks
157.07431 -.16856 (157*2π)/5644 weeks
158.0849 -.07533 (158*2π)/5644 weeks
159.12279 .05216 (159*2π)/5644 weeks
160-.04233 .15828 (160*2π)/5644 weeks
161-.12523 .05433 (161*2π)/5644 weeks
162-.20874 -.15583 (162*2π)/5643 weeks
163-.20275 -.09357 (163*2π)/5643 weeks
164.08564 -.2827 (164*2π)/5643 weeks
165.22053 -.09768 (165*2π)/5643 weeks
166.20024 -.02101 (166*2π)/5643 weeks
167.06568 .09017 (167*2π)/5643 weeks
168-.06504 .27072 (168*2π)/5643 weeks
169-.11372 -.00194 (169*2π)/5643 weeks
170-.14083 -.10417 (170*2π)/5643 weeks
171-.02163 -.13017 (171*2π)/5643 weeks
172-.00415 -.11623 (172*2π)/5643 weeks
173.17653 -.13829 (173*2π)/5643 weeks
174.1461 -.02783 (174*2π)/5643 weeks
175.12563 .00345 (175*2π)/5643 weeks
176.07155 .1956 (176*2π)/5643 weeks
177.01449 .08721 (177*2π)/5643 weeks
178-.28698 .0292 (178*2π)/5643 weeks
179-.19232 -.1218 (179*2π)/5643 weeks
180-.09531 -.16302 (180*2π)/5643 weeks
181.13098 -.27811 (181*2π)/5643 weeks
182.23445 -.08539 (182*2π)/5643 weeks
183.12557 .19717 (183*2π)/5643 weeks
184-.085 .25664 (184*2π)/5643 weeks
185-.17665 .1872 (185*2π)/5643 weeks
186-.23781 .02551 (186*2π)/5643 weeks
187-.16862 -.20035 (187*2π)/5643 weeks
188-.06606 -.08431 (188*2π)/5643 weeks
189.11604 -.01868 (189*2π)/5643 weeks
190.1226 -.08503 (190*2π)/5643 weeks
191.09988 .024 (191*2π)/5643 weeks
192-.04304 .22001 (192*2π)/5643 weeks
193-.02031 .13971 (193*2π)/5643 weeks
194-.07824 .11651 (194*2π)/5643 weeks
195-.31599 -.05131 (195*2π)/5643 weeks
196-.13117 -.16276 (196*2π)/5643 weeks
197.09442 -.0831 (197*2π)/5643 weeks
198.18566 -.16648 (198*2π)/5643 weeks
199.16966 .04024 (199*2π)/5643 weeks
200.00706 .27105 (200*2π)/5643 weeks
201-.07141 .09771 (201*2π)/5643 weeks
202-.12951 .04451 (202*2π)/5643 weeks
203-.14148 -.04563 (203*2π)/5643 weeks
204-.11632 -.10651 (204*2π)/5643 weeks
205.00797 -.05329 (205*2π)/5643 weeks
206-.011 -.14616 (206*2π)/5643 weeks
207.09893 -.06153 (207*2π)/5643 weeks
208.08388 -.03295 (208*2π)/5643 weeks
209.15152 .20556 (209*2π)/5643 weeks
210-.08267 .1789 (210*2π)/5643 weeks
211-.23612 .08205 (211*2π)/5643 weeks
212-.28902 -.08195 (212*2π)/5643 weeks
213-.10707 -.27275 (213*2π)/5643 weeks
214.2887 -.28436 (214*2π)/5643 weeks
215.22321 .02238 (215*2π)/5643 weeks
216.17737 .12964 (216*2π)/5643 weeks
217-.00011 .20954 (217*2π)/5643 weeks
218-.16378 .13189 (218*2π)/5643 weeks
219-.13313 -.10669 (219*2π)/5643 weeks
220-.07181 -.00533 (220*2π)/5643 weeks
221-.04907 -.12046 (221*2π)/5643 weeks
222.03629 -.12546 (222*2π)/5643 weeks
223.12278 -.02615 (223*2π)/5643 weeks
224.1042 .01752 (224*2π)/5643 weeks
225.07734 .129 (225*2π)/5643 weeks
226-.02684 .22165 (226*2π)/5642 weeks
227-.20827 .09026 (227*2π)/5642 weeks
228-.14918 -.02776 (228*2π)/5642 weeks
229-.16272 -.09578 (229*2π)/5642 weeks
230-.03613 -.12554 (230*2π)/5642 weeks
231.16027 -.1622 (231*2π)/5642 weeks
232.1016 .02795 (232*2π)/5642 weeks
233.0912 .06914 (233*2π)/5642 weeks
234.01896 .21661 (234*2π)/5642 weeks
235-.13975 .09454 (235*2π)/5642 weeks
236-.19729 -.05322 (236*2π)/5642 weeks
237-.14788 -.14025 (237*2π)/5642 weeks
238-.03509 -.17503 (238*2π)/5642 weeks
239.11123 -.12465 (239*2π)/5642 weeks
240.17881 -.01572 (240*2π)/5642 weeks
241.12422 .06168 (241*2π)/5642 weeks
242-.01436 .12721 (242*2π)/5642 weeks
243-.08351 .04891 (243*2π)/5642 weeks
244-.18476 .06205 (244*2π)/5642 weeks
245-.17205 -.10046 (245*2π)/5642 weeks
246.01856 -.15956 (246*2π)/5642 weeks
247-.00279 -.12696 (247*2π)/5642 weeks
248.11975 -.13284 (248*2π)/5642 weeks
249.1587 .09726 (249*2π)/5642 weeks
250.02319 .07891 (250*2π)/5642 weeks
251-.0259 .07328 (251*2π)/5642 weeks
252-.20464 .05934 (252*2π)/5642 weeks
253-.20954 -.02921 (253*2π)/5642 weeks
254.00539 -.19674 (254*2π)/5642 weeks
255-.0069 -.1082 (255*2π)/5642 weeks
256.09444 -.03107 (256*2π)/5642 weeks
257.13666 .03897 (257*2π)/5642 weeks
258-.01543 .06925 (258*2π)/5642 weeks
259-.00177 .07368 (259*2π)/5642 weeks
260-.05932 .08314 (260*2π)/5642 weeks
261-.09692 .03621 (261*2π)/5642 weeks
262-.14274 -.01736 (262*2π)/5642 weeks
263-.07251 -.08328 (263*2π)/5642 weeks
264.03471 -.14403 (264*2π)/5642 weeks
265.09096 -.08787 (265*2π)/5642 weeks
266.14637 -.0307 (266*2π)/5642 weeks
267-.00483 .17409 (267*2π)/5642 weeks
268-.10271 .14428 (268*2π)/5642 weeks
269-.14299 .05374 (269*2π)/5642 weeks
270-.16633 -.06472 (270*2π)/5642 weeks
271-.12313 -.1821 (271*2π)/5642 weeks
272-.00262 -.20658 (272*2π)/5642 weeks
273.04338 -.05647 (273*2π)/5642 weeks
274.12137 -.00597 (274*2π)/5642 weeks
275.09697 .11557 (275*2π)/5642 weeks
276-.15083 .16905 (276*2π)/5642 weeks
277-.11913 .03121 (277*2π)/5642 weeks
278-.18747 .03198 (278*2π)/5642 weeks
279-.12676 -.12722 (279*2π)/5642 weeks
280-.00454 -.16671 (280*2π)/5642 weeks
281.05721 -.11783 (281*2π)/5642 weeks
282.14099   (282*2π)/5642 weeks
283.05721 .11783 (283*2π)/5642 weeks
284-.00454 .16671 (284*2π)/5642 weeks
285-.12676 .12722 (285*2π)/5642 weeks
286-.18747 -.03198 (286*2π)/5642 weeks
287-.11913 -.03121 (287*2π)/5642 weeks
288-.15083 -.16905 (288*2π)/5642 weeks
289.09697 -.11557 (289*2π)/5642 weeks
290.12137 .00597 (290*2π)/5642 weeks
291.04338 .05647 (291*2π)/5642 weeks
292-.00262 .20658 (292*2π)/5642 weeks
293-.12313 .1821 (293*2π)/5642 weeks
294-.16633 .06472 (294*2π)/5642 weeks
295-.14299 -.05374 (295*2π)/5642 weeks
296-.10271 -.14428 (296*2π)/5642 weeks
297-.00483 -.17409 (297*2π)/5642 weeks
298.14637 .0307 (298*2π)/5642 weeks
299.09096 .08787 (299*2π)/5642 weeks
300.03471 .14403 (300*2π)/5642 weeks
301-.07251 .08328 (301*2π)/5642 weeks
302-.14274 .01736 (302*2π)/5642 weeks
303-.09692 -.03621 (303*2π)/5642 weeks
304-.05932 -.08314 (304*2π)/5642 weeks
305-.00177 -.07368 (305*2π)/5642 weeks
306-.01543 -.06925 (306*2π)/5642 weeks
307.13666 -.03897 (307*2π)/5642 weeks
308.09444 .03107 (308*2π)/5642 weeks
309-.0069 .1082 (309*2π)/5642 weeks
310.00539 .19674 (310*2π)/5642 weeks
311-.20954 .02921 (311*2π)/5642 weeks
312-.20464 -.05934 (312*2π)/5642 weeks
313-.0259 -.07328 (313*2π)/5642 weeks
314.02319 -.07891 (314*2π)/5642 weeks
315.1587 -.09726 (315*2π)/5642 weeks
316.11975 .13284 (316*2π)/5642 weeks
317-.00279 .12696 (317*2π)/5642 weeks
318.01856 .15956 (318*2π)/5642 weeks
319-.17205 .10046 (319*2π)/5642 weeks
320-.18476 -.06205 (320*2π)/5642 weeks
321-.08351 -.04891 (321*2π)/5642 weeks
322-.01436 -.12721 (322*2π)/5642 weeks
323.12422 -.06168 (323*2π)/5642 weeks
324.17881 .01572 (324*2π)/5642 weeks
325.11123 .12465 (325*2π)/5642 weeks
326-.03509 .17503 (326*2π)/5642 weeks
327-.14788 .14025 (327*2π)/5642 weeks
328-.19729 .05322 (328*2π)/5642 weeks
329-.13975 -.09454 (329*2π)/5642 weeks
330.01896 -.21661 (330*2π)/5642 weeks
331.0912 -.06914 (331*2π)/5642 weeks
332.1016 -.02795 (332*2π)/5642 weeks
333.16027 .1622 (333*2π)/5642 weeks
334-.03613 .12554 (334*2π)/5642 weeks
335-.16272 .09578 (335*2π)/5642 weeks
336-.14918 .02776 (336*2π)/5642 weeks
337-.20827 -.09026 (337*2π)/5642 weeks
338-.02684 -.22165 (338*2π)/5642 weeks
339.07734 -.129 (339*2π)/5642 weeks
340.1042 -.01752 (340*2π)/5642 weeks
341.12278 .02615 (341*2π)/5642 weeks
342.03629 .12546 (342*2π)/5642 weeks
343-.04907 .12046 (343*2π)/5642 weeks
344-.07181 .00533 (344*2π)/5642 weeks
345-.13313 .10669 (345*2π)/5642 weeks
346-.16378 -.13189 (346*2π)/5642 weeks
347-.00011 -.20954 (347*2π)/5642 weeks
348.17737 -.12964 (348*2π)/5642 weeks
349.22321 -.02238 (349*2π)/5642 weeks
350.2887 .28436 (350*2π)/5642 weeks
351-.10707 .27275 (351*2π)/5642 weeks
352-.28902 .08195 (352*2π)/5642 weeks
353-.23612 -.08205 (353*2π)/5642 weeks
354-.08267 -.1789 (354*2π)/5642 weeks
355.15152 -.20556 (355*2π)/5642 weeks
356.08388 .03295 (356*2π)/5642 weeks
357.09893 .06153 (357*2π)/5642 weeks
358-.011 .14616 (358*2π)/5642 weeks
359.00797 .05329 (359*2π)/5642 weeks
360-.11632 .10651 (360*2π)/5642 weeks
361-.14148 .04563 (361*2π)/5642 weeks
362-.12951 -.04451 (362*2π)/5642 weeks
363-.07141 -.09771 (363*2π)/5642 weeks
364.00706 -.27105 (364*2π)/5642 weeks
365.16966 -.04024 (365*2π)/5642 weeks
366.18566 .16648 (366*2π)/5642 weeks
367.09442 .0831 (367*2π)/5642 weeks
368-.13117 .16276 (368*2π)/5642 weeks
369-.31599 .05131 (369*2π)/5642 weeks
370-.07824 -.11651 (370*2π)/5642 weeks
371-.02031 -.13971 (371*2π)/5642 weeks
372-.04304 -.22001 (372*2π)/5642 weeks
373.09988 -.024 (373*2π)/5642 weeks
374.1226 .08503 (374*2π)/5642 weeks
375.11604 .01868 (375*2π)/5642 weeks
376-.06606 .08431 (376*2π)/5642 weeks
377-.16862 .20035 (377*2π)/5641 weeks
378-.23781 -.02551 (378*2π)/5641 weeks
379-.17665 -.1872 (379*2π)/5641 weeks
380-.085 -.25664 (380*2π)/5641 weeks
381.12557 -.19717 (381*2π)/5641 weeks
382.23445 .08539 (382*2π)/5641 weeks
383.13098 .27811 (383*2π)/5641 weeks
384-.09531 .16302 (384*2π)/5641 weeks
385-.19232 .1218 (385*2π)/5641 weeks
386-.28698 -.0292 (386*2π)/5641 weeks
387.01449 -.08721 (387*2π)/5641 weeks
388.07155 -.1956 (388*2π)/5641 weeks
389.12563 -.00345 (389*2π)/5641 weeks
390.1461 .02783 (390*2π)/5641 weeks
391.17653 .13829 (391*2π)/5641 weeks
392-.00415 .11623 (392*2π)/5641 weeks
393-.02163 .13017 (393*2π)/5641 weeks
394-.14083 .10417 (394*2π)/5641 weeks
395-.11372 .00194 (395*2π)/5641 weeks
396-.06504 -.27072 (396*2π)/5641 weeks
397.06568 -.09017 (397*2π)/5641 weeks
398.20024 .02101 (398*2π)/5641 weeks
399.22053 .09768 (399*2π)/5641 weeks
400.08564 .2827 (400*2π)/5641 weeks
401-.20275 .09357 (401*2π)/5641 weeks
402-.20874 .15583 (402*2π)/5641 weeks
403-.12523 -.05433 (403*2π)/5641 weeks
404-.04233 -.15828 (404*2π)/5641 weeks
405.12279 -.05216 (405*2π)/5641 weeks
406.0849 .07533 (406*2π)/5641 weeks
407.07431 .16856 (407*2π)/5641 weeks
408.05521 .1124 (408*2π)/5641 weeks
409-.03934 .08461 (409*2π)/5641 weeks
410-.1898 .04811 (410*2π)/5641 weeks
411-.12431 -.04818 (411*2π)/5641 weeks
412-.0703 .07706 (412*2π)/5641 weeks
413.09312 -.22749 (413*2π)/5641 weeks
414.04603 -.04986 (414*2π)/5641 weeks
415.05437 .05004 (415*2π)/5641 weeks
416.06799 -.03456 (416*2π)/5641 weeks
417.0498 .00554 (417*2π)/5641 weeks
418-.15353 -.00489 (418*2π)/5641 weeks
419-.05334 -.05228 (419*2π)/5641 weeks
420.00123 .04033 (420*2π)/5641 weeks
421-.03368 -.10756 (421*2π)/5641 weeks
422-.0171 -.07708 (422*2π)/5641 weeks
423-.03382 -.01423 (423*2π)/5641 weeks
424.06567 -.01009 (424*2π)/5641 weeks
425.16329 .03854 (425*2π)/5641 weeks
426.11308 .0399 (426*2π)/5641 weeks
427-.13625 .13477 (427*2π)/5641 weeks
428-.08254 .19034 (428*2π)/5641 weeks
429-.09656 .07983 (429*2π)/5641 weeks
430-.13934 -.10597 (430*2π)/5641 weeks
431-.05406 -.17368 (431*2π)/5641 weeks
432.06145 .01122 (432*2π)/5641 weeks
433.11167 -.00673 (433*2π)/5641 weeks
434.12437 .20721 (434*2π)/5641 weeks
435-.07243 .28373 (435*2π)/5641 weeks
436-.16777 .11939 (436*2π)/5641 weeks
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