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Fourier Analysis of VWALX (VANGUARD HIGH-YIELD TAX-EXEMPT FUND ADMIRAL SHARES)


VWALX (VANGUARD HIGH-YIELD TAX-EXEMPT FUND ADMIRAL SHARES) appears to have interesting cyclic behaviour every 59 weeks (.2102*sine), 69 weeks (.1947*sine), and 76 weeks (.1892*sine).

VWALX (VANGUARD HIGH-YIELD TAX-EXEMPT FUND ADMIRAL SHARES) has an average price of 7.96 (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 11/12/2001 to 10/16/2017 for VWALX (VANGUARD HIGH-YIELD TAX-EXEMPT FUND ADMIRAL SHARES), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
07.95688   0 
1.41204 -1.93839 (1*2π)/832832 weeks
2-.12919 -.92166 (2*2π)/832416 weeks
3.09806 -.72924 (3*2π)/832277 weeks
4-.07116 -.47765 (4*2π)/832208 weeks
5-.07917 -.39881 (5*2π)/832166 weeks
6.08351 -.21751 (6*2π)/832139 weeks
7-.06332 -.38478 (7*2π)/832119 weeks
8-.03416 -.16789 (8*2π)/832104 weeks
9-.0093 -.17796 (9*2π)/83292 weeks
10.07494 -.13941 (10*2π)/83283 weeks
11.00319 -.18919 (11*2π)/83276 weeks
12.01083 -.19472 (12*2π)/83269 weeks
13.01984 -.11507 (13*2π)/83264 weeks
14.01614 -.2102 (14*2π)/83259 weeks
15-.00901 -.1359 (15*2π)/83255 weeks
16-.01179 -.15088 (16*2π)/83252 weeks
17-.00789 -.09936 (17*2π)/83249 weeks
18-.00396 -.14559 (18*2π)/83246 weeks
19-.0323 -.13187 (19*2π)/83244 weeks
20-.02027 -.09087 (20*2π)/83242 weeks
21-.00908 -.11465 (21*2π)/83240 weeks
22-.00085 -.05405 (22*2π)/83238 weeks
23-.01094 -.08469 (23*2π)/83236 weeks
24-.00497 -.04347 (24*2π)/83235 weeks
25-.00955 -.07654 (25*2π)/83233 weeks
26-.00138 -.08986 (26*2π)/83232 weeks
27-.01377 -.0516 (27*2π)/83231 weeks
28.00586 -.08458 (28*2π)/83230 weeks
29.00495 -.06381 (29*2π)/83229 weeks
30-.00992 -.08089 (30*2π)/83228 weeks
31-.00717 -.04542 (31*2π)/83227 weeks
32-.00772 -.07389 (32*2π)/83226 weeks
33-.01167 -.06337 (33*2π)/83225 weeks
34-.01589 -.06249 (34*2π)/83224 weeks
35-.0101 -.04467 (35*2π)/83224 weeks
36.00396 -.04995 (36*2π)/83223 weeks
37-.02038 -.06827 (37*2π)/83222 weeks
38-.0148 -.04814 (38*2π)/83222 weeks
39-.00539 -.05516 (39*2π)/83221 weeks
40-.00184 -.05497 (40*2π)/83221 weeks
41-.00864 -.04121 (41*2π)/83220 weeks
42.00094 -.03988 (42*2π)/83220 weeks
43-.0063 -.0318 (43*2π)/83219 weeks
44-.00319 -.05156 (44*2π)/83219 weeks
45-.0086 -.03221 (45*2π)/83218 weeks
46-.01075 -.05336 (46*2π)/83218 weeks
47.00199 -.03534 (47*2π)/83218 weeks
48-.0193 -.0642 (48*2π)/83217 weeks
49-.00317 -.04108 (49*2π)/83217 weeks
50-.01201 -.04049 (50*2π)/83217 weeks
51-.00303 -.03841 (51*2π)/83216 weeks
52-.01111 -.03892 (52*2π)/83216 weeks
53-.01003 -.04701 (53*2π)/83216 weeks
54-.01174 -.03509 (54*2π)/83215 weeks
55-.00592 -.02373 (55*2π)/83215 weeks
56-.01435 -.03741 (56*2π)/83215 weeks
57-.00286 -.02797 (57*2π)/83215 weeks
58-.01541 -.03605 (58*2π)/83214 weeks
59-.00166 -.03536 (59*2π)/83214 weeks
60-.00595 -.02149 (60*2π)/83214 weeks
61-.00217 -.03288 (61*2π)/83214 weeks
62-.00156 -.02565 (62*2π)/83213 weeks
63-.00811 -.0275 (63*2π)/83213 weeks
64.00409 -.02339 (64*2π)/83213 weeks
65-.01004 -.03971 (65*2π)/83213 weeks
66-.01464 -.03443 (66*2π)/83213 weeks
67-.01019 -.02471 (67*2π)/83212 weeks
68-.00783 -.03294 (68*2π)/83212 weeks
69-.00955 -.02712 (69*2π)/83212 weeks
70-.00539 -.03256 (70*2π)/83212 weeks
71-.00643 -.02076 (71*2π)/83212 weeks
72-.01293 -.03239 (72*2π)/83212 weeks
73-.00194 -.02214 (73*2π)/83211 weeks
74-.01344 -.02206 (74*2π)/83211 weeks
75.00652 -.02478 (75*2π)/83211 weeks
76-.01385 -.02277 (76*2π)/83211 weeks
77-.00356 -.02477 (77*2π)/83211 weeks
78-.01076 -.01473 (78*2π)/83211 weeks
79-.00138 -.02233 (79*2π)/83211 weeks
80-.00687 -.0183 (80*2π)/83210 weeks
81-.00767 -.02073 (81*2π)/83210 weeks
82.0006 -.02368 (82*2π)/83210 weeks
83-.01112 -.02054 (83*2π)/83210 weeks
84-.00177 -.02606 (84*2π)/83210 weeks
85-.00478 -.01854 (85*2π)/83210 weeks
86-.01024 -.02603 (86*2π)/83210 weeks
87-.00104 -.02629 (87*2π)/83210 weeks
88-.01272 -.02194 (88*2π)/8329 weeks
89-.00464 -.02228 (89*2π)/8329 weeks
90-.01486 -.01709 (90*2π)/8329 weeks
91-.00432 -.02178 (91*2π)/8329 weeks
92-.0142 -.01758 (92*2π)/8329 weeks
93-.0008 -.01737 (93*2π)/8329 weeks
94-.002 -.01655 (94*2π)/8329 weeks
95-.00647 -.03071 (95*2π)/8329 weeks
96-.00377 -.01368 (96*2π)/8329 weeks
97-.00971 -.02037 (97*2π)/8329 weeks
98.00197 -.01877 (98*2π)/8328 weeks
99-.013 -.01717 (99*2π)/8328 weeks
100-.00465 -.01893 (100*2π)/8328 weeks
101-.00732 -.01862 (101*2π)/8328 weeks
102-.00912 -.02403 (102*2π)/8328 weeks
103-.00855 -.0181 (103*2π)/8328 weeks
104-.01251 -.01638 (104*2π)/8328 weeks
105-.00301 -.01822 (105*2π)/8328 weeks
106-.01399 -.01557 (106*2π)/8328 weeks
107-.00771 -.0199 (107*2π)/8328 weeks
108-.01029 -.01323 (108*2π)/8328 weeks
109-.00724 -.01551 (109*2π)/8328 weeks
110-.00162 -.0135 (110*2π)/8328 weeks
111-.00773 -.01796 (111*2π)/8327 weeks
112-.00236 -.01431 (112*2π)/8327 weeks
113-.00577 -.01245 (113*2π)/8327 weeks
114-.00495 -.01396 (114*2π)/8327 weeks
115-.00497 -.01113 (115*2π)/8327 weeks
116-.00406 -.01397 (116*2π)/8327 weeks
117-.00603 -.01461 (117*2π)/8327 weeks
118-.00456 -.01702 (118*2π)/8327 weeks
119-.00749 -.0119 (119*2π)/8327 weeks
120-.00625 -.01374 (120*2π)/8327 weeks
121-.00371 -.0164 (121*2π)/8327 weeks
122-.0102 -.01662 (122*2π)/8327 weeks
123-.0041 -.017 (123*2π)/8327 weeks
124-.01061 -.01653 (124*2π)/8327 weeks
125-.00748 -.01402 (125*2π)/8327 weeks
126-.00573 -.01295 (126*2π)/8327 weeks
127-.00551 -.01406 (127*2π)/8327 weeks
128-.00935 -.01376 (128*2π)/8327 weeks
129-.00829 -.01421 (129*2π)/8326 weeks
130-.00626 -.00989 (130*2π)/8326 weeks
131-.00551 -.01483 (131*2π)/8326 weeks
132-.0056 -.01068 (132*2π)/8326 weeks
133-.00616 -.01407 (133*2π)/8326 weeks
134-.00572 -.01669 (134*2π)/8326 weeks
135-.00998 -.01028 (135*2π)/8326 weeks
136-.00662 -.0141 (136*2π)/8326 weeks
137-.00869 -.01464 (137*2π)/8326 weeks
138-.0088 -.01215 (138*2π)/8326 weeks
139-.00989 -.01318 (139*2π)/8326 weeks
140-.00467 -.00945 (140*2π)/8326 weeks
141-.01011 -.01296 (141*2π)/8326 weeks
142-.00784 -.01383 (142*2π)/8326 weeks
143-.00748 -.01084 (143*2π)/8326 weeks
144-.003 -.01397 (144*2π)/8326 weeks
145-.00619 -.01463 (145*2π)/8326 weeks
146-.00602 -.01165 (146*2π)/8326 weeks
147-.0076 -.01074 (147*2π)/8326 weeks
148-.00513 -.01104 (148*2π)/8326 weeks
149-.00698 -.01235 (149*2π)/8326 weeks
150-.00936 -.01373 (150*2π)/8326 weeks
151-.00598 -.00987 (151*2π)/8326 weeks
152-.00767 -.00931 (152*2π)/8325 weeks
153-.00923 -.01514 (153*2π)/8325 weeks
154-.00847 -.01047 (154*2π)/8325 weeks
155-.01191 -.01283 (155*2π)/8325 weeks
156-.00707 -.01311 (156*2π)/8325 weeks
157-.0073 -.00969 (157*2π)/8325 weeks
158-.00733 -.01403 (158*2π)/8325 weeks
159-.00821 -.00528 (159*2π)/8325 weeks
160-.00757 -.01178 (160*2π)/8325 weeks
161-.00543 -.01164 (161*2π)/8325 weeks
162-.00659 -.0112 (162*2π)/8325 weeks
163-.00435 -.01042 (163*2π)/8325 weeks
164-.00386 -.01065 (164*2π)/8325 weeks
165-.00798 -.00951 (165*2π)/8325 weeks
166-.00892 -.00866 (166*2π)/8325 weeks
167-.0058 -.01249 (167*2π)/8325 weeks
168-.00785 -.01219 (168*2π)/8325 weeks
169-.00885 -.01221 (169*2π)/8325 weeks
170-.00858 -.00921 (170*2π)/8325 weeks
171-.00773 -.01161 (171*2π)/8325 weeks
172-.00815 -.00956 (172*2π)/8325 weeks
173-.00972 -.00936 (173*2π)/8325 weeks
174-.0073 -.00897 (174*2π)/8325 weeks
175-.0096 -.00733 (175*2π)/8325 weeks
176-.00479 -.0092 (176*2π)/8325 weeks
177-.00777 -.00621 (177*2π)/8325 weeks
178-.00579 -.00978 (178*2π)/8325 weeks
179-.00662 -.00952 (179*2π)/8325 weeks
180-.00653 -.00878 (180*2π)/8325 weeks
181-.00795 -.01003 (181*2π)/8325 weeks
182-.0052 -.00749 (182*2π)/8325 weeks
183-.00659 -.00908 (183*2π)/8325 weeks
184-.00587 -.0079 (184*2π)/8325 weeks
185-.00641 -.00708 (185*2π)/8324 weeks
186-.00918 -.01082 (186*2π)/8324 weeks
187-.00673 -.00842 (187*2π)/8324 weeks
188-.01246 -.00887 (188*2π)/8324 weeks
189-.00822 -.00978 (189*2π)/8324 weeks
190-.00939 -.00923 (190*2π)/8324 weeks
191-.01411 -.00596 (191*2π)/8324 weeks
192-.00244 -.00946 (192*2π)/8324 weeks
193-.00798 -.00855 (193*2π)/8324 weeks
194-.00552 -.00831 (194*2π)/8324 weeks
195-.00646 -.0064 (195*2π)/8324 weeks
196-.00467 -.00872 (196*2π)/8324 weeks
197-.00591 -.00937 (197*2π)/8324 weeks
198-.00708 -.0071 (198*2π)/8324 weeks
199-.00504 -.00964 (199*2π)/8324 weeks
200-.00919 -.00617 (200*2π)/8324 weeks
201-.00871 -.01052 (201*2π)/8324 weeks
202-.00812 -.00652 (202*2π)/8324 weeks
203-.00942 -.00528 (203*2π)/8324 weeks
204-.00563 -.00922 (204*2π)/8324 weeks
205-.00979 -.00558 (205*2π)/8324 weeks
206-.00635 -.01046 (206*2π)/8324 weeks
207-.00558 -.00461 (207*2π)/8324 weeks
208-.00937 -.0089 (208*2π)/8324 weeks
209-.00697 -.00742 (209*2π)/8324 weeks
210-.00859 -.00607 (210*2π)/8324 weeks
211-.00587 -.01034 (211*2π)/8324 weeks
212-.00707 -.00569 (212*2π)/8324 weeks
213-.00671 -.00836 (213*2π)/8324 weeks
214-.00707 -.00308 (214*2π)/8324 weeks
215-.00468 -.00505 (215*2π)/8324 weeks
216-.00758 -.00757 (216*2π)/8324 weeks
217-.00697 -.00549 (217*2π)/8324 weeks
218-.00743 -.00724 (218*2π)/8324 weeks
219-.00832 -.00492 (219*2π)/8324 weeks
220-.00448 -.00796 (220*2π)/8324 weeks
221-.00858 -.00529 (221*2π)/8324 weeks
222-.00526 -.00756 (222*2π)/8324 weeks
223-.00609 -.00537 (223*2π)/8324 weeks
224-.01059 -.00709 (224*2π)/8324 weeks
225-.00651 -.00535 (225*2π)/8324 weeks
226-.01031 -.00651 (226*2π)/8324 weeks
227-.00567 -.00887 (227*2π)/8324 weeks
228-.00962 -.00387 (228*2π)/8324 weeks
229-.00548 -.00805 (229*2π)/8324 weeks
230-.00771 -.00489 (230*2π)/8324 weeks
231-.00668 -.00694 (231*2π)/8324 weeks
232-.00614 -.00557 (232*2π)/8324 weeks
233-.00708 -.00608 (233*2π)/8324 weeks
234-.00455 -.0065 (234*2π)/8324 weeks
235-.01032 -.00398 (235*2π)/8324 weeks
236-.00599 -.00625 (236*2π)/8324 weeks
237-.0086 -.00367 (237*2π)/8324 weeks
238-.00685 -.00531 (238*2π)/8323 weeks
239-.00529 -.00545 (239*2π)/8323 weeks
240-.00798 -.00681 (240*2π)/8323 weeks
241-.00611 -.00695 (241*2π)/8323 weeks
242-.00887 -.00643 (242*2π)/8323 weeks
243-.00602 -.00478 (243*2π)/8323 weeks
244-.00659 -.00515 (244*2π)/8323 weeks
245-.00488 -.0065 (245*2π)/8323 weeks
246-.0083 -.00589 (246*2π)/8323 weeks
247-.0065 -.00578 (247*2π)/8323 weeks
248-.00683 -.00385 (248*2π)/8323 weeks
249-.00976 -.00767 (249*2π)/8323 weeks
250-.00813 -.00524 (250*2π)/8323 weeks
251-.00749 -.00461 (251*2π)/8323 weeks
252-.00709 -.00764 (252*2π)/8323 weeks
253-.00821 -.00337 (253*2π)/8323 weeks
254-.00842 -.00525 (254*2π)/8323 weeks
255-.00856 -.00539 (255*2π)/8323 weeks
256-.00763 -.00276 (256*2π)/8323 weeks
257-.00606 -.00566 (257*2π)/8323 weeks
258-.00878 -.00675 (258*2π)/8323 weeks
259-.00865 -.00623 (259*2π)/8323 weeks
260-.00831 -.00415 (260*2π)/8323 weeks
261-.00975 -.00396 (261*2π)/8323 weeks
262-.00695 -.00406 (262*2π)/8323 weeks
263-.00766 -.004 (263*2π)/8323 weeks
264-.00643 -.0066 (264*2π)/8323 weeks
265-.00596 -.00429 (265*2π)/8323 weeks
266-.00864 -.00522 (266*2π)/8323 weeks
267-.00579 -.00369 (267*2π)/8323 weeks
268-.00776 -.00442 (268*2π)/8323 weeks
269-.00585 -.00514 (269*2π)/8323 weeks
270-.00863 -.00481 (270*2π)/8323 weeks
271-.00819 -.00587 (271*2π)/8323 weeks
272-.00758 -.00235 (272*2π)/8323 weeks
273-.00745 -.00542 (273*2π)/8323 weeks
274-.00816 -.00282 (274*2π)/8323 weeks
275-.00911 -.00617 (275*2π)/8323 weeks
276-.00685 -.00217 (276*2π)/8323 weeks
277-.00686 -.00385 (277*2π)/8323 weeks
278-.00647 -.00526 (278*2π)/8323 weeks
279-.00743 -.00281 (279*2π)/8323 weeks
280-.00629 -.00535 (280*2π)/8323 weeks
281-.00563 -.00269 (281*2π)/8323 weeks
282-.00951 -.00498 (282*2π)/8323 weeks
283-.0047 -.00205 (283*2π)/8323 weeks
284-.0081 -.00484 (284*2π)/8323 weeks
285-.0063 -.00588 (285*2π)/8323 weeks
286-.00828 -.00156 (286*2π)/8323 weeks
287-.00625 -.00469 (287*2π)/8323 weeks
288-.00679 -.00135 (288*2π)/8323 weeks
289-.00906 -.00594 (289*2π)/8323 weeks
290-.00749 -.00176 (290*2π)/8323 weeks
291-.00641 -.00413 (291*2π)/8323 weeks
292-.00587 -.00462 (292*2π)/8323 weeks
293-.00908 -.00383 (293*2π)/8323 weeks
294-.00611 -.00349 (294*2π)/8323 weeks
295-.00766 -.00382 (295*2π)/8323 weeks
296-.00657 -.00551 (296*2π)/8323 weeks
297-.00727 -.00162 (297*2π)/8323 weeks
298-.00707 -.00433 (298*2π)/8323 weeks
299-.00682 -.00287 (299*2π)/8323 weeks
300-.00959 -.00613 (300*2π)/8323 weeks
301-.00733 -.00322 (301*2π)/8323 weeks
302-.00828 -.0013 (302*2π)/8323 weeks
303-.00738 -.00396 (303*2π)/8323 weeks
304-.00684 -.00128 (304*2π)/8323 weeks
305-.00717 -.0038 (305*2π)/8323 weeks
306-.00548 -.00112 (306*2π)/8323 weeks
307-.00763 -.00307 (307*2π)/8323 weeks
308-.00837 -.00272 (308*2π)/8323 weeks
309-.00674 -.00085 (309*2π)/8323 weeks
310-.00626 -.00534 (310*2π)/8323 weeks
311-.00699 -.00249 (311*2π)/8323 weeks
312-.00676 -.00507 (312*2π)/8323 weeks
313-.00738 -.00339 (313*2π)/8323 weeks
314-.00672 -.00354 (314*2π)/8323 weeks
315-.00751 -.00405 (315*2π)/8323 weeks
316-.00852 -.00081 (316*2π)/8323 weeks
317-.00687 -.00311 (317*2π)/8323 weeks
318-.008 -.00316 (318*2π)/8323 weeks
319-.00796 -.00328 (319*2π)/8323 weeks
320-.00817 -.00238 (320*2π)/8323 weeks
321-.00748 -.00264 (321*2π)/8323 weeks
322-.00723 -.00109 (322*2π)/8323 weeks
323-.00609 -.00391 (323*2π)/8323 weeks
324-.00684 -.00133 (324*2π)/8323 weeks
325-.00834 -.00216 (325*2π)/8323 weeks
326-.00661 -.00304 (326*2π)/8323 weeks
327-.00746 -.00023 (327*2π)/8323 weeks
328-.00564 -.00376 (328*2π)/8323 weeks
329-.00634 -.00148 (329*2π)/8323 weeks
330-.0085 -.00191 (330*2π)/8323 weeks
331-.00586 -.00473 (331*2π)/8323 weeks
332-.00827 -.00269 (332*2π)/8323 weeks
333-.00749 -.00474 (333*2π)/8322 weeks
334-.00881 -.00122 (334*2π)/8322 weeks
335-.00686 -.00334 (335*2π)/8322 weeks
336-.00676 -.00167 (336*2π)/8322 weeks
337-.00852 -.00208 (337*2π)/8322 weeks
338-.00717 -.00185 (338*2π)/8322 weeks
339-.007 -.00206 (339*2π)/8322 weeks
340-.00778 -.00349 (340*2π)/8322 weeks
341-.00739 .00052 (341*2π)/8322 weeks
342-.00587 .00009 (342*2π)/8322 weeks
343-.00653 -.00196 (343*2π)/8322 weeks
344-.00679 -.00221 (344*2π)/8322 weeks
345-.00667 -.00229 (345*2π)/8322 weeks
346-.00621 -.00135 (346*2π)/8322 weeks
347-.00754 -.00188 (347*2π)/8322 weeks
348-.00725 -.00279 (348*2π)/8322 weeks
349-.00702 -.00276 (349*2π)/8322 weeks
350-.00729 -.00253 (350*2π)/8322 weeks
351-.00741 -.00367 (351*2π)/8322 weeks
352-.00743 -.00113 (352*2π)/8322 weeks
353-.00769 -.00091 (353*2π)/8322 weeks
354-.00668 -.00157 (354*2π)/8322 weeks
355-.00922 -.00008 (355*2π)/8322 weeks
356-.0059 -.00263 (356*2π)/8322 weeks
357-.00694 -.00069 (357*2π)/8322 weeks
358-.00682 -.0038 (358*2π)/8322 weeks
359-.00638 -.00026 (359*2π)/8322 weeks
360-.0079 -.00057 (360*2π)/8322 weeks
361-.00463 -.00217 (361*2π)/8322 weeks
362-.00711 -.00139 (362*2π)/8322 weeks
363-.00691 -.00169 (363*2π)/8322 weeks
364-.00528 -.00201 (364*2π)/8322 weeks
365-.00747 -.00156 (365*2π)/8322 weeks
366-.00658 -.00267 (366*2π)/8322 weeks
367-.00812 -.00231 (367*2π)/8322 weeks
368-.00847 -.00154 (368*2π)/8322 weeks
369-.00626 -.00297 (369*2π)/8322 weeks
370-.00826 -.0005 (370*2π)/8322 weeks
371-.00837 -.00181 (371*2π)/8322 weeks
372-.00686 -.00123 (372*2π)/8322 weeks
373-.00842 -.00164 (373*2π)/8322 weeks
374-.00641 -.00212 (374*2π)/8322 weeks
375-.00827 -.00034 (375*2π)/8322 weeks
376-.00813 -.00162 (376*2π)/8322 weeks
377-.00673 -.00019 (377*2π)/8322 weeks
378-.00654 -.0003 (378*2π)/8322 weeks
379-.00561 -.00181 (379*2π)/8322 weeks
380-.00703 -.0011 (380*2π)/8322 weeks
381-.00985 -.00165 (381*2π)/8322 weeks
382-.00744 -.00118 (382*2π)/8322 weeks
383-.00583 .00138 (383*2π)/8322 weeks
384-.00523 -.00332 (384*2π)/8322 weeks
385-.00781 -.00194 (385*2π)/8322 weeks
386-.00685 -.00104 (386*2π)/8322 weeks
387-.00669 -.00034 (387*2π)/8322 weeks
388-.00833 -.00146 (388*2π)/8322 weeks
389-.00665 -.00013 (389*2π)/8322 weeks
390-.00868 -.00035 (390*2π)/8322 weeks
391-.00734 -.00006 (391*2π)/8322 weeks
392-.00703 -.00121 (392*2π)/8322 weeks
393-.00819 .00037 (393*2π)/8322 weeks
394-.00657 .00004 (394*2π)/8322 weeks
395-.00666 -.00042 (395*2π)/8322 weeks
396-.00707 -.00084 (396*2π)/8322 weeks
397-.00615 -.00098 (397*2π)/8322 weeks
398-.00625 .00049 (398*2π)/8322 weeks
399-.00819 .00008 (399*2π)/8322 weeks
400-.00628 .00113 (400*2π)/8322 weeks
401-.00711 -.00041 (401*2π)/8322 weeks
402-.00618 -.00149 (402*2π)/8322 weeks
403-.0088 -.00015 (403*2π)/8322 weeks
404-.00777 -.00136 (404*2π)/8322 weeks
405-.00649 -.00021 (405*2π)/8322 weeks
406-.00864 -.00184 (406*2π)/8322 weeks
407-.00568 .00129 (407*2π)/8322 weeks
408-.008 .00002 (408*2π)/8322 weeks
409-.00655 -.00126 (409*2π)/8322 weeks
410-.00753 .00047 (410*2π)/8322 weeks
411-.00847 -.00128 (411*2π)/8322 weeks
412-.00675 .00141 (412*2π)/8322 weeks
413-.00786 -.00091 (413*2π)/8322 weeks
414-.00791 .00035 (414*2π)/8322 weeks
415-.00727 .00059 (415*2π)/8322 weeks
416-.00613   (416*2π)/8322 weeks
417-.00727 -.00059 (417*2π)/8322 weeks
418-.00791 -.00035 (418*2π)/8322 weeks
419-.00786 .00091 (419*2π)/8322 weeks
420-.00675 -.00141 (420*2π)/8322 weeks
421-.00847 .00128 (421*2π)/8322 weeks
422-.00753 -.00047 (422*2π)/8322 weeks
423-.00655 .00126 (423*2π)/8322 weeks
424-.008 -.00002 (424*2π)/8322 weeks
425-.00568 -.00129 (425*2π)/8322 weeks
426-.00864 .00184 (426*2π)/8322 weeks
427-.00649 .00021 (427*2π)/8322 weeks
428-.00777 .00136 (428*2π)/8322 weeks
429-.0088 .00015 (429*2π)/8322 weeks
430-.00618 .00149 (430*2π)/8322 weeks
431-.00711 .00041 (431*2π)/8322 weeks
432-.00628 -.00113 (432*2π)/8322 weeks
433-.00819 -.00008 (433*2π)/8322 weeks
434-.00625 -.00049 (434*2π)/8322 weeks
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828-.07116 .47765 (828*2π)/8321 weeks
829.09806 .72924 (829*2π)/8321 weeks
830-.12919 .92166 (830*2π)/8321 weeks



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