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Fourier Analysis of VFIAX (Vanguard 500 Index Fd Admiral S)


VFIAX (Vanguard 500 Index Fd Admiral S) appears to have interesting cyclic behaviour every 85 weeks (5.1199*sine), 71 weeks (4.2621*sine), and 77 weeks (4.1551*sine).

VFIAX (Vanguard 500 Index Fd Admiral S) has an average price of 111.21 (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.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 11/13/2000 to 3/13/2017 for VFIAX (Vanguard 500 Index Fd Admiral S), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0111.2087   0 
122.26138 -32.58974 (1*2π)/852852 weeks
22.81538 -34.17757 (2*2π)/852426 weeks
34.85317 -10.8811 (3*2π)/852284 weeks
4-2.11359 -9.98965 (4*2π)/852213 weeks
56.70708 -2.98503 (5*2π)/852170 weeks
6-1.17656 -5.66813 (6*2π)/852142 weeks
72.76822 -4.46348 (7*2π)/852122 weeks
8-.90355 -5.05431 (8*2π)/852107 weeks
91.77179 -5.84616 (9*2π)/85295 weeks
10-.2878 -5.11994 (10*2π)/85285 weeks
112.07952 -4.15512 (11*2π)/85277 weeks
12-1.39501 -4.26209 (12*2π)/85271 weeks
131.39482 -1.50117 (13*2π)/85266 weeks
14-.63959 -3.69388 (14*2π)/85261 weeks
15.04668 -1.87643 (15*2π)/85257 weeks
16.20203 -1.38127 (16*2π)/85253 weeks
17.45241 -2.34238 (17*2π)/85250 weeks
18-1.1649 -1.88878 (18*2π)/85247 weeks
19.99696 -2.32393 (19*2π)/85245 weeks
20-.48093 -1.97967 (20*2π)/85243 weeks
21.31206 -2.30464 (21*2π)/85241 weeks
22.03971 -1.69658 (22*2π)/85239 weeks
23.25446 -2.51756 (23*2π)/85237 weeks
24.55662 -1.75115 (24*2π)/85236 weeks
251.01293 -1.4538 (25*2π)/85234 weeks
26.59162 -1.82303 (26*2π)/85233 weeks
27-.52872 -1.98452 (27*2π)/85232 weeks
28.32632 -.94316 (28*2π)/85230 weeks
29-.24982 -1.7663 (29*2π)/85229 weeks
30-.02949 -1.84516 (30*2π)/85228 weeks
31-.11162 -1.41534 (31*2π)/85227 weeks
32-.10609 -1.13085 (32*2π)/85227 weeks
33.12433 -.64992 (33*2π)/85226 weeks
34-.48401 -.7153 (34*2π)/85225 weeks
35.27959 -.56988 (35*2π)/85224 weeks
36.28142 -.83887 (36*2π)/85224 weeks
37-.21721 -1.46296 (37*2π)/85223 weeks
38-.19292 -1.2323 (38*2π)/85222 weeks
39-.50259 -1.2032 (39*2π)/85222 weeks
40.08376 -1.45924 (40*2π)/85221 weeks
41-1.30067 -1.27755 (41*2π)/85221 weeks
42-.25248 -.80353 (42*2π)/85220 weeks
43-.77705 -.79944 (43*2π)/85220 weeks
44-.59429 -1.17372 (44*2π)/85219 weeks
45-.44647 -.57905 (45*2π)/85219 weeks
46.0884 -.70271 (46*2π)/85219 weeks
47-.35497 -.21563 (47*2π)/85218 weeks
48.46235 -.72107 (48*2π)/85218 weeks
49.01872 -.33975 (49*2π)/85217 weeks
50.31493 -1.35878 (50*2π)/85217 weeks
51-.17017 -.42575 (51*2π)/85217 weeks
52.07741 -1.55251 (52*2π)/85216 weeks
53-.57259 -.49098 (53*2π)/85216 weeks
54-.10396 -1.1732 (54*2π)/85216 weeks
55-.25552 -.75936 (55*2π)/85215 weeks
56-.35581 -.97243 (56*2π)/85215 weeks
57-.16358 -.59385 (57*2π)/85215 weeks
58-.07119 -.69874 (58*2π)/85215 weeks
59-.08324 -.88125 (59*2π)/85214 weeks
60-.26979 -.9518 (60*2π)/85214 weeks
61-.00846 -.94242 (61*2π)/85214 weeks
62-.26781 -.76282 (62*2π)/85214 weeks
63.28816 -.68722 (63*2π)/85214 weeks
64.15544 -1.15203 (64*2π)/85213 weeks
65.02295 -.59936 (65*2π)/85213 weeks
66.10012 -.60322 (66*2π)/85213 weeks
67-.1799 -.807 (67*2π)/85213 weeks
68-.16484 -.44542 (68*2π)/85213 weeks
69.28212 -.42407 (69*2π)/85212 weeks
70-.09142 -.4807 (70*2π)/85212 weeks
71-.02507 -.8972 (71*2π)/85212 weeks
72.19666 -.702 (72*2π)/85212 weeks
73-.21303 -1.04957 (73*2π)/85212 weeks
74-.27197 -.34539 (74*2π)/85212 weeks
75-.26135 -.21642 (75*2π)/85211 weeks
76.1086 -.32841 (76*2π)/85211 weeks
77.01989 -.21313 (77*2π)/85211 weeks
78-.0923 -.46771 (78*2π)/85211 weeks
79-.2904 -.32938 (79*2π)/85211 weeks
80-.25709 -.61187 (80*2π)/85211 weeks
81-.08064 -.90388 (81*2π)/85211 weeks
82-.25462 -.64394 (82*2π)/85210 weeks
83-.19841 -.68531 (83*2π)/85210 weeks
84-.02589 -.54555 (84*2π)/85210 weeks
85-.3044 -.54093 (85*2π)/85210 weeks
86.01253 -.48417 (86*2π)/85210 weeks
87-.55982 -.49756 (87*2π)/85210 weeks
88-.17942 -.16327 (88*2π)/85210 weeks
89-.30728 -.33468 (89*2π)/85210 weeks
90-.07263 -.44463 (90*2π)/8529 weeks
91-.1296 -.43925 (91*2π)/8529 weeks
92-.06442 -.40796 (92*2π)/8529 weeks
93-.3574 -.25055 (93*2π)/8529 weeks
94-.08945 -.31854 (94*2π)/8529 weeks
95-.19535 -.36862 (95*2π)/8529 weeks
96-.29629 -.13107 (96*2π)/8529 weeks
97-.07019 -.42776 (97*2π)/8529 weeks
98-.19407 -.50762 (98*2π)/8529 weeks
99-.26991 -.56077 (99*2π)/8529 weeks
100-.18343 -.23694 (100*2π)/8529 weeks
101-.13722 -.33584 (101*2π)/8528 weeks
102.11242 -.13469 (102*2π)/8528 weeks
103.04401 -.47171 (103*2π)/8528 weeks
104-.20267 -.66833 (104*2π)/8528 weeks
105-.2956 -.30069 (105*2π)/8528 weeks
106-.04247 -.27571 (106*2π)/8528 weeks
107-.19464 -.51555 (107*2π)/8528 weeks
108-.27002 -.38707 (108*2π)/8528 weeks
109-.01763 -.23526 (109*2π)/8528 weeks
110-.27212 -.54901 (110*2π)/8528 weeks
111.21358 -.37771 (111*2π)/8528 weeks
112-.19951 -.41655 (112*2π)/8528 weeks
113-.12257 -.37661 (113*2π)/8528 weeks
114-.4559 -.24148 (114*2π)/8527 weeks
115.03883 -.18034 (115*2π)/8527 weeks
116-.2545 -.22099 (116*2π)/8527 weeks
117-.14899 -.09844 (117*2π)/8527 weeks
118-.08319 -.51203 (118*2π)/8527 weeks
119-.35658 -.49901 (119*2π)/8527 weeks
120-.20467 -.17534 (120*2π)/8527 weeks
121-.01465 -.4547 (121*2π)/8527 weeks
122-.39583 -.23311 (122*2π)/8527 weeks
123.07409 -.28313 (123*2π)/8527 weeks
124-.23198 -.27641 (124*2π)/8527 weeks
125-.1493 -.39025 (125*2π)/8527 weeks
126-.26265 -.20151 (126*2π)/8527 weeks
127-.11762 -.46941 (127*2π)/8527 weeks
128-.29269 -.38116 (128*2π)/8527 weeks
129-.16827 -.28448 (129*2π)/8527 weeks
130-.08722 -.218 (130*2π)/8527 weeks
131-.15469 -.36864 (131*2π)/8527 weeks
132-.2397 -.01851 (132*2π)/8526 weeks
133-.14104 -.39026 (133*2π)/8526 weeks
134-.29202 -.14974 (134*2π)/8526 weeks
135-.30961 -.35946 (135*2π)/8526 weeks
136-.2611 .03024 (136*2π)/8526 weeks
137-.28105 -.21757 (137*2π)/8526 weeks
138-.13874 -.14715 (138*2π)/8526 weeks
139-.13264 -.34632 (139*2π)/8526 weeks
140-.02671 -.22948 (140*2π)/8526 weeks
141-.10836 -.35043 (141*2π)/8526 weeks
142-.15799 -.30812 (142*2π)/8526 weeks
143-.11531 -.39634 (143*2π)/8526 weeks
144-.13261 -.287 (144*2π)/8526 weeks
145-.01507 -.3843 (145*2π)/8526 weeks
146-.24221 -.31947 (146*2π)/8526 weeks
147-.03709 -.24445 (147*2π)/8526 weeks
148-.05345 -.37671 (148*2π)/8526 weeks
149-.25658 -.3312 (149*2π)/8526 weeks
150-.16531 -.35775 (150*2π)/8526 weeks
151-.21811 -.23522 (151*2π)/8526 weeks
152-.08851 -.40678 (152*2π)/8526 weeks
153-.13088 -.13379 (153*2π)/8526 weeks
154-.1866 -.25966 (154*2π)/8526 weeks
155-.22735 .01497 (155*2π)/8525 weeks
156-.23114 -.03863 (156*2π)/8525 weeks
157-.20252 -.00733 (157*2π)/8525 weeks
158-.19028 -.26834 (158*2π)/8525 weeks
159-.17836 -.29772 (159*2π)/8525 weeks
160-.06045 -.45187 (160*2π)/8525 weeks
161-.1264 -.16763 (161*2π)/8525 weeks
162-.08031 -.33059 (162*2π)/8525 weeks
163.05168 -.08003 (163*2π)/8525 weeks
164-.15733 -.47047 (164*2π)/8525 weeks
165-.11573 -.18736 (165*2π)/8525 weeks
166-.31717 -.17134 (166*2π)/8525 weeks
167-.12289 -.13827 (167*2π)/8525 weeks
168-.29915 -.16711 (168*2π)/8525 weeks
169-.02402 -.04773 (169*2π)/8525 weeks
170-.13823 -.13907 (170*2π)/8525 weeks
171-.02272 -.1511 (171*2π)/8525 weeks
172-.12017 -.30166 (172*2π)/8525 weeks
173-.09017 -.14869 (173*2π)/8525 weeks
174-.20809 -.308 (174*2π)/8525 weeks
175-.11438 -.19632 (175*2π)/8525 weeks
176-.32625 -.10855 (176*2π)/8525 weeks
177-.04626 -.28711 (177*2π)/8525 weeks
178-.32977 -.20652 (178*2π)/8525 weeks
179-.19748 -.18445 (179*2π)/8525 weeks
180-.28977 -.15068 (180*2π)/8525 weeks
181-.09565 -.11571 (181*2π)/8525 weeks
182-.12002 -.0656 (182*2π)/8525 weeks
183-.05446 -.24851 (183*2π)/8525 weeks
184-.10127 -.05387 (184*2π)/8525 weeks
185-.03468 -.2557 (185*2π)/8525 weeks
186-.02427 -.31498 (186*2π)/8525 weeks
187-.02297 -.32918 (187*2π)/8525 weeks
188-.24028 -.21052 (188*2π)/8525 weeks
189-.06673 -.24884 (189*2π)/8525 weeks
190-.1544 -.12323 (190*2π)/8524 weeks
191-.01736 -.2693 (191*2π)/8524 weeks
192-.32654 -.13932 (192*2π)/8524 weeks
193-.2003 -.1227 (193*2π)/8524 weeks
194-.19029 -.01912 (194*2π)/8524 weeks
195-.08635 -.06106 (195*2π)/8524 weeks
196-.10985 -.09247 (196*2π)/8524 weeks
197-.11848 -.16741 (197*2π)/8524 weeks
198-.05496 -.26502 (198*2π)/8524 weeks
199-.17386 -.19289 (199*2π)/8524 weeks
200-.17002 -.16991 (200*2π)/8524 weeks
201-.27052 -.22157 (201*2π)/8524 weeks
202-.07194 -.15257 (202*2π)/8524 weeks
203-.14236 -.31512 (203*2π)/8524 weeks
204-.10925 -.29955 (204*2π)/8524 weeks
205-.12738 -.25998 (205*2π)/8524 weeks
206-.33198 -.25209 (206*2π)/8524 weeks
207-.15039 -.14481 (207*2π)/8524 weeks
208-.30404 -.0866 (208*2π)/8524 weeks
209-.15709 -.10628 (209*2π)/8524 weeks
210-.02138 -.00431 (210*2π)/8524 weeks
211-.02849 -.20895 (211*2π)/8524 weeks
212-.12963 -.11334 (212*2π)/8524 weeks
213-.07025 -.26929 (213*2π)/8524 weeks
214-.18945 -.26772 (214*2π)/8524 weeks
215-.22543 -.14757 (215*2π)/8524 weeks
216-.19093 -.23077 (216*2π)/8524 weeks
217-.31855 -.16723 (217*2π)/8524 weeks
218-.2761 -.192 (218*2π)/8524 weeks
219-.14522 .02036 (219*2π)/8524 weeks
220-.22867 -.24394 (220*2π)/8524 weeks
221-.24437 -.06567 (221*2π)/8524 weeks
222-.06582 -.07664 (222*2π)/8524 weeks
223-.2013 -.03227 (223*2π)/8524 weeks
224.0151 -.03376 (224*2π)/8524 weeks
225-.00584 -.12039 (225*2π)/8524 weeks
226-.06871 -.13976 (226*2π)/8524 weeks
227-.10943 -.22582 (227*2π)/8524 weeks
228-.1063 -.15514 (228*2π)/8524 weeks
229-.20691 -.16524 (229*2π)/8524 weeks
230-.17173 -.04544 (230*2π)/8524 weeks
231-.10326 -.12684 (231*2π)/8524 weeks
232-.02566 -.09904 (232*2π)/8524 weeks
233-.11642 -.04262 (233*2π)/8524 weeks
234-.02029 -.03038 (234*2π)/8524 weeks
235-.17432 -.20439 (235*2π)/8524 weeks
236-.13636 -.02236 (236*2π)/8524 weeks
237-.12096 -.10753 (237*2π)/8524 weeks
238-.1436 -.18196 (238*2π)/8524 weeks
239-.09431 -.17897 (239*2π)/8524 weeks
240-.09788 -.08531 (240*2π)/8524 weeks
241-.1381 -.17332 (241*2π)/8524 weeks
242-.1926 -.23182 (242*2π)/8524 weeks
243-.12501 -.22306 (243*2π)/8524 weeks
244-.19395 -.23379 (244*2π)/8523 weeks
245-.18067 -.03696 (245*2π)/8523 weeks
246-.0434 -.10511 (246*2π)/8523 weeks
247-.2511 -.23172 (247*2π)/8523 weeks
248-.14316 -.10125 (248*2π)/8523 weeks
249-.13357 -.13681 (249*2π)/8523 weeks
250-.19131 -.10749 (250*2π)/8523 weeks
251-.09942 -.16381 (251*2π)/8523 weeks
252-.09523 -.18804 (252*2π)/8523 weeks
253-.1063 -.19967 (253*2π)/8523 weeks
254-.17872 -.18386 (254*2π)/8523 weeks
255-.20582 -.01469 (255*2π)/8523 weeks
256-.13502 -.08781 (256*2π)/8523 weeks
257-.17513 -.13979 (257*2π)/8523 weeks
258-.27303 -.19987 (258*2π)/8523 weeks
259-.13644 -.05496 (259*2π)/8523 weeks
260-.2314 -.18405 (260*2π)/8523 weeks
261-.08079 -.1495 (261*2π)/8523 weeks
262-.13772 -.10446 (262*2π)/8523 weeks
263-.12963 -.13929 (263*2π)/8523 weeks
264-.14326 -.20951 (264*2π)/8523 weeks
265-.1518 -.10506 (265*2π)/8523 weeks
266-.14552 -.09614 (266*2π)/8523 weeks
267-.06447 -.02512 (267*2π)/8523 weeks
268.00301 -.11624 (268*2π)/8523 weeks
269-.07206 -.05446 (269*2π)/8523 weeks
270-.1111 -.1228 (270*2π)/8523 weeks
271-.06773 -.05026 (271*2π)/8523 weeks
272-.17534 -.14546 (272*2π)/8523 weeks
273-.09892 -.10153 (273*2π)/8523 weeks
274-.19612 -.07793 (274*2π)/8523 weeks
275-.15427 -.12139 (275*2π)/8523 weeks
276-.1544 .01423 (276*2π)/8523 weeks
277-.09463 -.07625 (277*2π)/8523 weeks
278-.20204 -.05392 (278*2π)/8523 weeks
279-.12003 -.11012 (279*2π)/8523 weeks
280-.12904 -.02771 (280*2π)/8523 weeks
281-.16005 -.09781 (281*2π)/8523 weeks
282-.16857 -.04762 (282*2π)/8523 weeks
283-.03241 -.12174 (283*2π)/8523 weeks
284-.07881 -.07838 (284*2π)/8523 weeks
285-.20458 -.10421 (285*2π)/8523 weeks
286-.19939 -.03824 (286*2π)/8523 weeks
287-.15704 -.12244 (287*2π)/8523 weeks
288-.17583 -.04616 (288*2π)/8523 weeks
289-.24734 -.03912 (289*2π)/8523 weeks
290-.08567 -.03358 (290*2π)/8523 weeks
291-.11032 -.05447 (291*2π)/8523 weeks
292-.12561 -.0694 (292*2π)/8523 weeks
293-.01889 -.10358 (293*2π)/8523 weeks
294-.21802 -.08889 (294*2π)/8523 weeks
295-.1655 -.08899 (295*2π)/8523 weeks
296-.18439 -.03824 (296*2π)/8523 weeks
297-.13665 -.09101 (297*2π)/8523 weeks
298-.20075 .02734 (298*2π)/8523 weeks
299-.10302 -.1059 (299*2π)/8523 weeks
300-.06342 -.08309 (300*2π)/8523 weeks
301-.21955 -.06405 (301*2π)/8523 weeks
302.05472 -.11385 (302*2π)/8523 weeks
303-.26852 -.18206 (303*2π)/8523 weeks
304-.17763 -.02128 (304*2π)/8523 weeks
305-.17194 -.04055 (305*2π)/8523 weeks
306-.10376 -.10708 (306*2π)/8523 weeks
307-.18785 -.01441 (307*2π)/8523 weeks
308-.19687 -.06457 (308*2π)/8523 weeks
309-.1705 -.04949 (309*2π)/8523 weeks
310-.22252 .05212 (310*2π)/8523 weeks
311-.02416 -.08291 (311*2π)/8523 weeks
312-.18556 -.0778 (312*2π)/8523 weeks
313-.23702 -.03395 (313*2π)/8523 weeks
314.00168 -.02842 (314*2π)/8523 weeks
315-.19206 -.13652 (315*2π)/8523 weeks
316-.08099 -.02865 (316*2π)/8523 weeks
317-.03522 -.01857 (317*2π)/8523 weeks
318-.03834 -.17168 (318*2π)/8523 weeks
319-.03488 -.04314 (319*2π)/8523 weeks
320-.10705 -.18975 (320*2π)/8523 weeks
321-.17876 -.01033 (321*2π)/8523 weeks
322-.11444 -.09524 (322*2π)/8523 weeks
323-.08793 .00725 (323*2π)/8523 weeks
324-.09293 -.10094 (324*2π)/8523 weeks
325-.08054 .00615 (325*2π)/8523 weeks
326-.05088 -.07622 (326*2π)/8523 weeks
327-.21106 -.04308 (327*2π)/8523 weeks
328-.16342 -.06728 (328*2π)/8523 weeks
329-.19752 -.02109 (329*2π)/8523 weeks
330-.15512 -.02158 (330*2π)/8523 weeks
331-.09338 .16324 (331*2π)/8523 weeks
332-.02589 -.08985 (332*2π)/8523 weeks
333-.17971 .02941 (333*2π)/8523 weeks
334-.17902 -.14428 (334*2π)/8523 weeks
335-.16336 .02203 (335*2π)/8523 weeks
336-.20073 -.12445 (336*2π)/8523 weeks
337-.18924 .03526 (337*2π)/8523 weeks
338-.17241 -.02882 (338*2π)/8523 weeks
339-.21992 .01214 (339*2π)/8523 weeks
340-.14718 -.03158 (340*2π)/8523 weeks
341-.13012 -.09286 (341*2π)/8522 weeks
342-.17306 -.02038 (342*2π)/8522 weeks
343-.13173 -.18036 (343*2π)/8522 weeks
344-.1974 -.02718 (344*2π)/8522 weeks
345-.15976 -.04362 (345*2π)/8522 weeks
346-.12741 -.06125 (346*2π)/8522 weeks
347-.23266 -.00619 (347*2π)/8522 weeks
348-.04494 -.03751 (348*2π)/8522 weeks
349-.24658 -.06423 (349*2π)/8522 weeks
350-.17051 -.04536 (350*2π)/8522 weeks
351-.15257 .0669 (351*2π)/8522 weeks
352-.12281 -.02631 (352*2π)/8522 weeks
353-.17232 -.05473 (353*2π)/8522 weeks
354-.02165 .08128 (354*2π)/8522 weeks
355-.11459 -.05032 (355*2π)/8522 weeks
356-.07112 -.03921 (356*2π)/8522 weeks
357-.14538 -.05468 (357*2π)/8522 weeks
358-.17692 -.17836 (358*2π)/8522 weeks
359-.18784 -.08638 (359*2π)/8522 weeks
360-.18542 -.06964 (360*2π)/8522 weeks
361-.19977 -.0397 (361*2π)/8522 weeks
362-.14681 -.05841 (362*2π)/8522 weeks
363-.14609 -.04851 (363*2π)/8522 weeks
364-.07115 -.02861 (364*2π)/8522 weeks
365-.20154 .00404 (365*2π)/8522 weeks
366-.09183 -.06713 (366*2π)/8522 weeks
367-.21434 .02096 (367*2π)/8522 weeks
368-.12332 -.04575 (368*2π)/8522 weeks
369-.15244 -.03801 (369*2π)/8522 weeks
370-.24479 -.16916 (370*2π)/8522 weeks
371-.3004 .02653 (371*2π)/8522 weeks
372-.16563 -.0202 (372*2π)/8522 weeks
373-.14754 -.02642 (373*2π)/8522 weeks
374-.20631 -.01407 (374*2π)/8522 weeks
375-.15498 .10409 (375*2π)/8522 weeks
376-.13869 -.03112 (376*2π)/8522 weeks
377-.18731 -.06019 (377*2π)/8522 weeks
378-.16389 -.00248 (378*2π)/8522 weeks
379-.16828 -.0611 (379*2π)/8522 weeks
380-.23002 -.05223 (380*2π)/8522 weeks
381-.2049 -.00777 (381*2π)/8522 weeks
382-.16676 -.02823 (382*2π)/8522 weeks
383-.17628 .14872 (383*2π)/8522 weeks
384-.07256 -.01958 (384*2π)/8522 weeks
385-.05056 -.03484 (385*2π)/8522 weeks
386-.16338 -.12809 (386*2π)/8522 weeks
387-.10386 -.02068 (387*2π)/8522 weeks
388-.19169 -.05686 (388*2π)/8522 weeks
389-.09829 .0939 (389*2π)/8522 weeks
390-.13693 -.00095 (390*2π)/8522 weeks
391-.0833 .06091 (391*2π)/8522 weeks
392-.24021 -.05837 (392*2π)/8522 weeks
393-.16858 -.10515 (393*2π)/8522 weeks
394-.24145 .0505 (394*2π)/8522 weeks
395-.13892 .02264 (395*2π)/8522 weeks
396-.13818 .112 (396*2π)/8522 weeks
397-.10538 -.08733 (397*2π)/8522 weeks
398-.23096 .08284 (398*2π)/8522 weeks
399-.07608 -.07145 (399*2π)/8522 weeks
400-.16728 .00755 (400*2π)/8522 weeks
401-.13325 -.00605 (401*2π)/8522 weeks
402-.07802 .04026 (402*2π)/8522 weeks
403-.15606 -.07395 (403*2π)/8522 weeks
404-.13245 .04826 (404*2π)/8522 weeks
405-.10585 -.07018 (405*2π)/8522 weeks
406-.09403 -.00463 (406*2π)/8522 weeks
407-.09101 -.21228 (407*2π)/8522 weeks
408-.14106 -.0822 (408*2π)/8522 weeks
409-.17814 .01357 (409*2π)/8522 weeks
410-.17826 -.04549 (410*2π)/8522 weeks
411-.1254 .03013 (411*2π)/8522 weeks
412-.23372 .10256 (412*2π)/8522 weeks
413-.14551 .06763 (413*2π)/8522 weeks
414-.10888 .07407 (414*2π)/8522 weeks
415-.17328 -.10509 (415*2π)/8522 weeks
416-.11799 .04943 (416*2π)/8522 weeks
417-.15117 -.18535 (417*2π)/8522 weeks
418-.20996 -.06711 (418*2π)/8522 weeks
419-.19378 -.12822 (419*2π)/8522 weeks
420-.28953 -.07044 (420*2π)/8522 weeks
421-.27822 -.09888 (421*2π)/8522 weeks
422-.19806 .05316 (422*2π)/8522 weeks
423-.13378 -.02265 (423*2π)/8522 weeks
424-.08739 .04036 (424*2π)/8522 weeks
425-.2413 .05906 (425*2π)/8522 weeks
426.00071   (426*2π)/8522 weeks
427-.2413 -.05906 (427*2π)/8522 weeks
428-.08739 -.04036 (428*2π)/8522 weeks
429-.13378 .02265 (429*2π)/8522 weeks
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