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Fourier Analysis of TFI (SPDR Nuveen Barclays Municipal )


TFI (SPDR Nuveen Barclays Municipal ) appears to have interesting cyclic behaviour every 44 weeks (.5069*sine), 49 weeks (.4874*sine), and 44 weeks (.3064*cosine).

TFI (SPDR Nuveen Barclays Municipal ) has an average price of 40.97 (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 9/13/2007 to 1/9/2017 for TFI (SPDR Nuveen Barclays Municipal ), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
040.97053   0 
1-.48664 -5.46069 (1*2π)/488488 weeks
2.55696 -2.97208 (2*2π)/488244 weeks
3-.46524 -2.2601 (3*2π)/488163 weeks
4.75781 -1.07732 (4*2π)/488122 weeks
5-.22008 -1.30249 (5*2π)/48898 weeks
6-.38309 -.83931 (6*2π)/48881 weeks
7-.03272 -.49495 (7*2π)/48870 weeks
8-.5069 -.62725 (8*2π)/48861 weeks
9-.0743 -.56667 (9*2π)/48854 weeks
10-.01188 -.48741 (10*2π)/48849 weeks
11-.30638 -.50687 (11*2π)/48844 weeks
12.02239 -.44482 (12*2π)/48841 weeks
13.02329 -.18161 (13*2π)/48838 weeks
14-.20366 -.19753 (14*2π)/48835 weeks
15.02405 -.24269 (15*2π)/48833 weeks
16-.20623 -.23389 (16*2π)/48831 weeks
17-.16039 -.24886 (17*2π)/48829 weeks
18.02353 -.37707 (18*2π)/48827 weeks
19-.01974 -.18922 (19*2π)/48826 weeks
20.03586 -.19207 (20*2π)/48824 weeks
21.02083 -.33664 (21*2π)/48823 weeks
22-.07051 -.08542 (22*2π)/48822 weeks
23-.01463 -.23831 (23*2π)/48821 weeks
24-.08261 -.12076 (24*2π)/48820 weeks
25-.07618 -.1675 (25*2π)/48820 weeks
26-.0283 -.2319 (26*2π)/48819 weeks
27.00681 -.21383 (27*2π)/48818 weeks
28.14224 -.15116 (28*2π)/48817 weeks
29.01881 -.13071 (29*2π)/48817 weeks
30.01817 -.09974 (30*2π)/48816 weeks
31-.04267 -.05783 (31*2π)/48816 weeks
32.01175 -.15163 (32*2π)/48815 weeks
33-.01394 -.09058 (33*2π)/48815 weeks
34-.06816 -.10888 (34*2π)/48814 weeks
35-.0354 -.08262 (35*2π)/48814 weeks
36-.06455 -.10523 (36*2π)/48814 weeks
37-.05496 -.12942 (37*2π)/48813 weeks
38.10032 -.18901 (38*2π)/48813 weeks
39-.07393 -.15714 (39*2π)/48813 weeks
40.00895 -.13256 (40*2π)/48812 weeks
41.01048 -.08137 (41*2π)/48812 weeks
42-.02316 -.0754 (42*2π)/48812 weeks
43-.05498 -.08925 (43*2π)/48811 weeks
44-.12417 -.16276 (44*2π)/48811 weeks
45-.03096 -.14407 (45*2π)/48811 weeks
46.03868 -.15149 (46*2π)/48811 weeks
47-.01456 -.09726 (47*2π)/48810 weeks
48.02702 -.13073 (48*2π)/48810 weeks
49.00394 -.06537 (49*2π)/48810 weeks
50.00479 -.08615 (50*2π)/48810 weeks
51-.00403 -.0644 (51*2π)/48810 weeks
52-.04252 -.09097 (52*2π)/4889 weeks
53-.07002 -.14198 (53*2π)/4889 weeks
54-.00594 -.15995 (54*2π)/4889 weeks
55-.05498 -.13859 (55*2π)/4889 weeks
56.01755 -.05493 (56*2π)/4889 weeks
57.0093 -.05835 (57*2π)/4889 weeks
58-.06348 -.03913 (58*2π)/4888 weeks
59-.03647 -.06617 (59*2π)/4888 weeks
60-.08277 -.08359 (60*2π)/4888 weeks
61-.06584 -.06056 (61*2π)/4888 weeks
62-.05224 -.11519 (62*2π)/4888 weeks
63-.03268 -.13346 (63*2π)/4888 weeks
64-.02803 -.07736 (64*2π)/4888 weeks
65.01248 -.06594 (65*2π)/4888 weeks
66-.01138 -.05443 (66*2π)/4887 weeks
67-.02033 -.0464 (67*2π)/4887 weeks
68-.06456 -.06319 (68*2π)/4887 weeks
69-.05922 -.07548 (69*2π)/4887 weeks
70-.0133 -.06751 (70*2π)/4887 weeks
71-.03284 -.10344 (71*2π)/4887 weeks
72-.0051 -.06698 (72*2π)/4887 weeks
73-.02565 -.05352 (73*2π)/4887 weeks
74-.04098 -.02927 (74*2π)/4887 weeks
75-.03166 -.0696 (75*2π)/4887 weeks
76-.06827 -.05683 (76*2π)/4886 weeks
77-.04348 -.06494 (77*2π)/4886 weeks
78-.03608 -.05265 (78*2π)/4886 weeks
79-.00669 -.0514 (79*2π)/4886 weeks
80-.03855 -.03606 (80*2π)/4886 weeks
81-.01209 -.05038 (81*2π)/4886 weeks
82-.00672 -.06147 (82*2π)/4886 weeks
83-.02424 -.04427 (83*2π)/4886 weeks
84-.01704 -.03874 (84*2π)/4886 weeks
85-.04049 -.06623 (85*2π)/4886 weeks
86-.04353 -.05693 (86*2π)/4886 weeks
87-.02113 -.04966 (87*2π)/4886 weeks
88-.02809 -.06083 (88*2π)/4886 weeks
89-.03437 -.05734 (89*2π)/4885 weeks
90-.00429 -.04786 (90*2π)/4885 weeks
91-.01485 -.05541 (91*2π)/4885 weeks
92-.01395 -.06372 (92*2π)/4885 weeks
93.00987 -.01577 (93*2π)/4885 weeks
94-.02544 -.03822 (94*2π)/4885 weeks
95-.03268 -.03371 (95*2π)/4885 weeks
96-.03061 -.05967 (96*2π)/4885 weeks
97-.04792 -.04164 (97*2π)/4885 weeks
98-.01406 -.04283 (98*2π)/4885 weeks
99-.01766 -.0659 (99*2π)/4885 weeks
100-.02517 -.03594 (100*2π)/4885 weeks
101-.0225 -.03263 (101*2π)/4885 weeks
102-.04302 -.03289 (102*2π)/4885 weeks
103-.06316 -.04574 (103*2π)/4885 weeks
104-.04601 -.05987 (104*2π)/4885 weeks
105-.02948 -.04515 (105*2π)/4885 weeks
106-.03971 -.02258 (106*2π)/4885 weeks
107-.03435 -.05597 (107*2π)/4885 weeks
108-.03629 -.0453 (108*2π)/4885 weeks
109-.02813 -.05387 (109*2π)/4884 weeks
110-.03174 -.05131 (110*2π)/4884 weeks
111-.01447 -.03125 (111*2π)/4884 weeks
112-.03839 -.02159 (112*2π)/4884 weeks
113-.02689 -.05257 (113*2π)/4884 weeks
114-.03879 -.04302 (114*2π)/4884 weeks
115-.0367 -.03092 (115*2π)/4884 weeks
116-.01427 -.04192 (116*2π)/4884 weeks
117-.00954 .00227 (117*2π)/4884 weeks
118-.03281 -.0038 (118*2π)/4884 weeks
119-.01724 -.01038 (119*2π)/4884 weeks
120-.06351 -.00648 (120*2π)/4884 weeks
121-.05179 -.03942 (121*2π)/4884 weeks
122-.03594 -.04896 (122*2π)/4884 weeks
123-.03149 -.04114 (123*2π)/4884 weeks
124-.01046 -.05809 (124*2π)/4884 weeks
125-.02322 -.04438 (125*2π)/4884 weeks
126-.04602 -.01486 (126*2π)/4884 weeks
127-.02249 -.0272 (127*2π)/4884 weeks
128-.02645 -.01176 (128*2π)/4884 weeks
129-.05816 -.02924 (129*2π)/4884 weeks
130-.03609 -.05821 (130*2π)/4884 weeks
131-.03875 -.0398 (131*2π)/4884 weeks
132-.01363 -.04059 (132*2π)/4884 weeks
133.00027 -.03269 (133*2π)/4884 weeks
134-.01474 -.00217 (134*2π)/4884 weeks
135-.0368 -.01483 (135*2π)/4884 weeks
136-.04027 -.02014 (136*2π)/4884 weeks
137-.03055 -.00875 (137*2π)/4884 weeks
138-.03368 -.05256 (138*2π)/4884 weeks
139-.02604 -.04552 (139*2π)/4884 weeks
140-.03136 -.02699 (140*2π)/4883 weeks
141-.03081 -.01882 (141*2π)/4883 weeks
142-.0143 -.002 (142*2π)/4883 weeks
143-.03275 -.01968 (143*2π)/4883 weeks
144-.04437 -.02462 (144*2π)/4883 weeks
145-.03694 -.02372 (145*2π)/4883 weeks
146-.03398 -.03968 (146*2π)/4883 weeks
147-.03607 -.01165 (147*2π)/4883 weeks
148-.03784 -.04064 (148*2π)/4883 weeks
149-.02587 -.02326 (149*2π)/4883 weeks
150-.04427 -.0342 (150*2π)/4883 weeks
151-.01724 -.01073 (151*2π)/4883 weeks
152-.01044 -.02425 (152*2π)/4883 weeks
153-.01017 -.00572 (153*2π)/4883 weeks
154-.03451 -.02823 (154*2π)/4883 weeks
155-.03117 -.01114 (155*2π)/4883 weeks
156-.03992 -.00571 (156*2π)/4883 weeks
157-.04176 -.02681 (157*2π)/4883 weeks
158-.01945 -.03758 (158*2π)/4883 weeks
159-.03774 -.02917 (159*2π)/4883 weeks
160-.0123 -.02376 (160*2π)/4883 weeks
161-.00359 -.01107 (161*2π)/4883 weeks
162-.05182 .00447 (162*2π)/4883 weeks
163-.02771 -.01184 (163*2π)/4883 weeks
164-.03988 -.00395 (164*2π)/4883 weeks
165-.05553 -.01023 (165*2π)/4883 weeks
166-.04694 -.05501 (166*2π)/4883 weeks
167-.02312 -.02344 (167*2π)/4883 weeks
168-.01782 -.02889 (168*2π)/4883 weeks
169-.00443 -.01326 (169*2π)/4883 weeks
170-.02132 .01751 (170*2π)/4883 weeks
171-.02538 -.00625 (171*2π)/4883 weeks
172-.04277 -.02365 (172*2π)/4883 weeks
173-.03665 -.01725 (173*2π)/4883 weeks
174-.03162 -.03578 (174*2π)/4883 weeks
175-.01317 -.0217 (175*2π)/4883 weeks
176-.00973 -.0057 (176*2π)/4883 weeks
177-.01177 -.02674 (177*2π)/4883 weeks
178-.01084 .00009 (178*2π)/4883 weeks
179-.0375 -.00444 (179*2π)/4883 weeks
180-.0485 -.01463 (180*2π)/4883 weeks
181-.02678 .00088 (181*2π)/4883 weeks
182-.05038 -.03405 (182*2π)/4883 weeks
183-.02407 -.03314 (183*2π)/4883 weeks
184-.03194 -.0142 (184*2π)/4883 weeks
185-.04135 -.02309 (185*2π)/4883 weeks
186-.02648 -.0063 (186*2π)/4883 weeks
187-.04028 -.01217 (187*2π)/4883 weeks
188-.03738 -.02533 (188*2π)/4883 weeks
189-.03246 -.03683 (189*2π)/4883 weeks
190-.02015 -.01964 (190*2π)/4883 weeks
191-.03209 -.02381 (191*2π)/4883 weeks
192.00053 -.02208 (192*2π)/4883 weeks
193-.0351 -.00648 (193*2π)/4883 weeks
194-.01991 -.0193 (194*2π)/4883 weeks
195-.02305 -.01275 (195*2π)/4883 weeks
196-.042 .00749 (196*2π)/4882 weeks
197-.03138 -.01629 (197*2π)/4882 weeks
198-.03824 -.00726 (198*2π)/4882 weeks
199-.03351 .00604 (199*2π)/4882 weeks
200-.03818 -.02822 (200*2π)/4882 weeks
201-.04468 .00012 (201*2π)/4882 weeks
202-.03583 -.01076 (202*2π)/4882 weeks
203-.0484 -.00998 (203*2π)/4882 weeks
204-.02996 -.01075 (204*2π)/4882 weeks
205-.03688 -.01107 (205*2π)/4882 weeks
206-.04673 -.00795 (206*2π)/4882 weeks
207-.0284 -.00228 (207*2π)/4882 weeks
208-.04379 -.01467 (208*2π)/4882 weeks
209-.02124 -.01659 (209*2π)/4882 weeks
210-.01796 -.00928 (210*2π)/4882 weeks
211-.0339 -.01073 (211*2π)/4882 weeks
212-.01911 .00955 (212*2π)/4882 weeks
213-.03618 -.00216 (213*2π)/4882 weeks
214-.0343 -.00163 (214*2π)/4882 weeks
215-.03169 .01064 (215*2π)/4882 weeks
216-.02255 -.02033 (216*2π)/4882 weeks
217-.02313 .01123 (217*2π)/4882 weeks
218-.02114 -.00929 (218*2π)/4882 weeks
219-.03582 .00388 (219*2π)/4882 weeks
220-.03457 .00882 (220*2π)/4882 weeks
221-.04176 -.00051 (221*2π)/4882 weeks
222-.02946 .0173 (222*2π)/4882 weeks
223-.0168 -.00716 (223*2π)/4882 weeks
224-.05028 .00139 (224*2π)/4882 weeks
225-.04997 .00355 (225*2π)/4882 weeks
226-.02418 -.00351 (226*2π)/4882 weeks
227-.0395 -.00899 (227*2π)/4882 weeks
228-.03009 -.00857 (228*2π)/4882 weeks
229-.0229 -.00875 (229*2π)/4882 weeks
230-.0358 -.00214 (230*2π)/4882 weeks
231-.01723 .00243 (231*2π)/4882 weeks
232-.02808 -.00742 (232*2π)/4882 weeks
233-.03018 .00082 (233*2π)/4882 weeks
234-.02638 -.0165 (234*2π)/4882 weeks
235-.02593 .009 (235*2π)/4882 weeks
236-.00927 .00781 (236*2π)/4882 weeks
237-.02498 -.00663 (237*2π)/4882 weeks
238-.02666 .01776 (238*2π)/4882 weeks
239-.0355 -.00657 (239*2π)/4882 weeks
240-.04677 .00626 (240*2π)/4882 weeks
241-.03314 .00905 (241*2π)/4882 weeks
242-.0348 -.00373 (242*2π)/4882 weeks
243-.03578 .0035 (243*2π)/4882 weeks
244-.02642   (244*2π)/4882 weeks
245-.03578 -.0035 (245*2π)/4882 weeks
246-.0348 .00373 (246*2π)/4882 weeks
247-.03314 -.00905 (247*2π)/4882 weeks
248-.04677 -.00626 (248*2π)/4882 weeks
249-.0355 .00657 (249*2π)/4882 weeks
250-.02666 -.01776 (250*2π)/4882 weeks
251-.02498 .00663 (251*2π)/4882 weeks
252-.00927 -.00781 (252*2π)/4882 weeks
253-.02593 -.009 (253*2π)/4882 weeks
254-.02638 .0165 (254*2π)/4882 weeks
255-.03018 -.00082 (255*2π)/4882 weeks
256-.02808 .00742 (256*2π)/4882 weeks
257-.01723 -.00243 (257*2π)/4882 weeks
258-.0358 .00214 (258*2π)/4882 weeks
259-.0229 .00875 (259*2π)/4882 weeks
260-.03009 .00857 (260*2π)/4882 weeks
261-.0395 .00899 (261*2π)/4882 weeks
262-.02418 .00351 (262*2π)/4882 weeks
263-.04997 -.00355 (263*2π)/4882 weeks
264-.05028 -.00139 (264*2π)/4882 weeks
265-.0168 .00716 (265*2π)/4882 weeks
266-.02946 -.0173 (266*2π)/4882 weeks
267-.04176 .00051 (267*2π)/4882 weeks
268-.03457 -.00882 (268*2π)/4882 weeks
269-.03582 -.00388 (269*2π)/4882 weeks
270-.02114 .00929 (270*2π)/4882 weeks
271-.02313 -.01123 (271*2π)/4882 weeks
272-.02255 .02033 (272*2π)/4882 weeks
273-.03169 -.01064 (273*2π)/4882 weeks
274-.0343 .00163 (274*2π)/4882 weeks
275-.03618 .00216 (275*2π)/4882 weeks
276-.01911 -.00955 (276*2π)/4882 weeks
277-.0339 .01073 (277*2π)/4882 weeks
278-.01796 .00928 (278*2π)/4882 weeks
279-.02124 .01659 (279*2π)/4882 weeks
280-.04379 .01467 (280*2π)/4882 weeks
281-.0284 .00228 (281*2π)/4882 weeks
282-.04673 .00795 (282*2π)/4882 weeks
283-.03688 .01107 (283*2π)/4882 weeks
284-.02996 .01075 (284*2π)/4882 weeks
285-.0484 .00998 (285*2π)/4882 weeks
286-.03583 .01076 (286*2π)/4882 weeks
287-.04468 -.00012 (287*2π)/4882 weeks
288-.03818 .02822 (288*2π)/4882 weeks
289-.03351 -.00604 (289*2π)/4882 weeks
290-.03824 .00726 (290*2π)/4882 weeks
291-.03138 .01629 (291*2π)/4882 weeks
292-.042 -.00749 (292*2π)/4882 weeks
293-.02305 .01275 (293*2π)/4882 weeks
294-.01991 .0193 (294*2π)/4882 weeks
295-.0351 .00648 (295*2π)/4882 weeks
296.00053 .02208 (296*2π)/4882 weeks
297-.03209 .02381 (297*2π)/4882 weeks
298-.02015 .01964 (298*2π)/4882 weeks
299-.03246 .03683 (299*2π)/4882 weeks
300-.03738 .02533 (300*2π)/4882 weeks
301-.04028 .01217 (301*2π)/4882 weeks
302-.02648 .0063 (302*2π)/4882 weeks
303-.04135 .02309 (303*2π)/4882 weeks
304-.03194 .0142 (304*2π)/4882 weeks
305-.02407 .03314 (305*2π)/4882 weeks
306-.05038 .03405 (306*2π)/4882 weeks
307-.02678 -.00088 (307*2π)/4882 weeks
308-.0485 .01463 (308*2π)/4882 weeks
309-.0375 .00444 (309*2π)/4882 weeks
310-.01084 -.00009 (310*2π)/4882 weeks
311-.01177 .02674 (311*2π)/4882 weeks
312-.00973 .0057 (312*2π)/4882 weeks
313-.01317 .0217 (313*2π)/4882 weeks
314-.03162 .03578 (314*2π)/4882 weeks
315-.03665 .01725 (315*2π)/4882 weeks
316-.04277 .02365 (316*2π)/4882 weeks
317-.02538 .00625 (317*2π)/4882 weeks
318-.02132 -.01751 (318*2π)/4882 weeks
319-.00443 .01326 (319*2π)/4882 weeks
320-.01782 .02889 (320*2π)/4882 weeks
321-.02312 .02344 (321*2π)/4882 weeks
322-.04694 .05501 (322*2π)/4882 weeks
323-.05553 .01023 (323*2π)/4882 weeks
324-.03988 .00395 (324*2π)/4882 weeks
325-.02771 .01184 (325*2π)/4882 weeks
326-.05182 -.00447 (326*2π)/4881 weeks
327-.00359 .01107 (327*2π)/4881 weeks
328-.0123 .02376 (328*2π)/4881 weeks
329-.03774 .02917 (329*2π)/4881 weeks
330-.01945 .03758 (330*2π)/4881 weeks
331-.04176 .02681 (331*2π)/4881 weeks
332-.03992 .00571 (332*2π)/4881 weeks
333-.03117 .01114 (333*2π)/4881 weeks
334-.03451 .02823 (334*2π)/4881 weeks
335-.01017 .00572 (335*2π)/4881 weeks
336-.01044 .02425 (336*2π)/4881 weeks
337-.01724 .01073 (337*2π)/4881 weeks
338-.04427 .0342 (338*2π)/4881 weeks
339-.02587 .02326 (339*2π)/4881 weeks
340-.03784 .04064 (340*2π)/4881 weeks
341-.03607 .01165 (341*2π)/4881 weeks
342-.03398 .03968 (342*2π)/4881 weeks
343-.03694 .02372 (343*2π)/4881 weeks
344-.04437 .02462 (344*2π)/4881 weeks
345-.03275 .01968 (345*2π)/4881 weeks
346-.0143 .002 (346*2π)/4881 weeks
347-.03081 .01882 (347*2π)/4881 weeks
348-.03136 .02699 (348*2π)/4881 weeks
349-.02604 .04552 (349*2π)/4881 weeks
350-.03368 .05256 (350*2π)/4881 weeks
351-.03055 .00875 (351*2π)/4881 weeks
352-.04027 .02014 (352*2π)/4881 weeks
353-.0368 .01483 (353*2π)/4881 weeks
354-.01474 .00217 (354*2π)/4881 weeks
355.00027 .03269 (355*2π)/4881 weeks
356-.01363 .04059 (356*2π)/4881 weeks
357-.03875 .0398 (357*2π)/4881 weeks
358-.03609 .05821 (358*2π)/4881 weeks
359-.05816 .02924 (359*2π)/4881 weeks
360-.02645 .01176 (360*2π)/4881 weeks
361-.02249 .0272 (361*2π)/4881 weeks
362-.04602 .01486 (362*2π)/4881 weeks
363-.02322 .04438 (363*2π)/4881 weeks
364-.01046 .05809 (364*2π)/4881 weeks
365-.03149 .04114 (365*2π)/4881 weeks
366-.03594 .04896 (366*2π)/4881 weeks
367-.05179 .03942 (367*2π)/4881 weeks
368-.06351 .00648 (368*2π)/4881 weeks
369-.01724 .01038 (369*2π)/4881 weeks
370-.03281 .0038 (370*2π)/4881 weeks
371-.00954 -.00227 (371*2π)/4881 weeks
372-.01427 .04192 (372*2π)/4881 weeks
373-.0367 .03092 (373*2π)/4881 weeks
374-.03879 .04302 (374*2π)/4881 weeks
375-.02689 .05257 (375*2π)/4881 weeks
376-.03839 .02159 (376*2π)/4881 weeks
377-.01447 .03125 (377*2π)/4881 weeks
378-.03174 .05131 (378*2π)/4881 weeks
379-.02813 .05387 (379*2π)/4881 weeks
380-.03629 .0453 (380*2π)/4881 weeks
381-.03435 .05597 (381*2π)/4881 weeks
382-.03971 .02258 (382*2π)/4881 weeks
383-.02948 .04515 (383*2π)/4881 weeks
384-.04601 .05987 (384*2π)/4881 weeks
385-.06316 .04574 (385*2π)/4881 weeks
386-.04302 .03289 (386*2π)/4881 weeks
387-.0225 .03263 (387*2π)/4881 weeks
388-.02517 .03594 (388*2π)/4881 weeks
389-.01766 .0659 (389*2π)/4881 weeks
390-.01406 .04283 (390*2π)/4881 weeks
391-.04792 .04164 (391*2π)/4881 weeks
392-.03061 .05967 (392*2π)/4881 weeks
393-.03268 .03371 (393*2π)/4881 weeks
394-.02544 .03822 (394*2π)/4881 weeks
395.00987 .01577 (395*2π)/4881 weeks
396-.01395 .06372 (396*2π)/4881 weeks
397-.01485 .05541 (397*2π)/4881 weeks
398-.00429 .04786 (398*2π)/4881 weeks
399-.03437 .05734 (399*2π)/4881 weeks
400-.02809 .06083 (400*2π)/4881 weeks
401-.02113 .04966 (401*2π)/4881 weeks
402-.04353 .05693 (402*2π)/4881 weeks
403-.04049 .06623 (403*2π)/4881 weeks
404-.01704 .03874 (404*2π)/4881 weeks
405-.02424 .04427 (405*2π)/4881 weeks
406-.00672 .06147 (406*2π)/4881 weeks
407-.01209 .05038 (407*2π)/4881 weeks
408-.03855 .03606 (408*2π)/4881 weeks
409-.00669 .0514 (409*2π)/4881 weeks
410-.03608 .05265 (410*2π)/4881 weeks
411-.04348 .06494 (411*2π)/4881 weeks
412-.06827 .05683 (412*2π)/4881 weeks
413-.03166 .0696 (413*2π)/4881 weeks
414-.04098 .02927 (414*2π)/4881 weeks
415-.02565 .05352 (415*2π)/4881 weeks
416-.0051 .06698 (416*2π)/4881 weeks
417-.03284 .10344 (417*2π)/4881 weeks
418-.0133 .06751 (418*2π)/4881 weeks
419-.05922 .07548 (419*2π)/4881 weeks
420-.06456 .06319 (420*2π)/4881 weeks
421-.02033 .0464 (421*2π)/4881 weeks
422-.01138 .05443 (422*2π)/4881 weeks
423.01248 .06594 (423*2π)/4881 weeks
424-.02803 .07736 (424*2π)/4881 weeks
425-.03268 .13346 (425*2π)/4881 weeks
426-.05224 .11519 (426*2π)/4881 weeks
427-.06584 .06056 (427*2π)/4881 weeks
428-.08277 .08359 (428*2π)/4881 weeks
429-.03647 .06617 (429*2π)/4881 weeks
430-.06348 .03913 (430*2π)/4881 weeks
431.0093 .05835 (431*2π)/4881 weeks
432.01755 .05493 (432*2π)/4881 weeks
433-.05498 .13859 (433*2π)/4881 weeks
434-.00594 .15995 (434*2π)/4881 weeks
435-.07002 .14198 (435*2π)/4881 weeks
436-.04252 .09097 (436*2π)/4881 weeks
437-.00403 .0644 (437*2π)/4881 weeks
438.00479 .08615 (438*2π)/4881 weeks
439.00394 .06537 (439*2π)/4881 weeks
440.02702 .13073 (440*2π)/4881 weeks
441-.01456 .09726 (441*2π)/4881 weeks
442.03868 .15149 (442*2π)/4881 weeks
443-.03096 .14407 (443*2π)/4881 weeks
444-.12417 .16276 (444*2π)/4881 weeks
445-.05498 .08925 (445*2π)/4881 weeks
446-.02316 .0754 (446*2π)/4881 weeks
447.01048 .08137 (447*2π)/4881 weeks
448.00895 .13256 (448*2π)/4881 weeks
449-.07393 .15714 (449*2π)/4881 weeks
450.10032 .18901 (450*2π)/4881 weeks
451-.05496 .12942 (451*2π)/4881 weeks
452-.06455 .10523 (452*2π)/4881 weeks
453-.0354 .08262 (453*2π)/4881 weeks
454-.06816 .10888 (454*2π)/4881 weeks
455-.01394 .09058 (455*2π)/4881 weeks
456.01175 .15163 (456*2π)/4881 weeks
457-.04267 .05783 (457*2π)/4881 weeks
458.01817 .09974 (458*2π)/4881 weeks
459.01881 .13071 (459*2π)/4881 weeks
460.14224 .15116 (460*2π)/4881 weeks
461.00681 .21383 (461*2π)/4881 weeks
462-.0283 .2319 (462*2π)/4881 weeks
463-.07618 .1675 (463*2π)/4881 weeks
464-.08261 .12076 (464*2π)/4881 weeks
465-.01463 .23831 (465*2π)/4881 weeks
466-.07051 .08542 (466*2π)/4881 weeks
467.02083 .33664 (467*2π)/4881 weeks
468.03586 .19207 (468*2π)/4881 weeks
469-.01974 .18922 (469*2π)/4881 weeks
470.02353 .37707 (470*2π)/4881 weeks
471-.16039 .24886 (471*2π)/4881 weeks
472-.20623 .23389 (472*2π)/4881 weeks
473.02405 .24269 (473*2π)/4881 weeks
474-.20366 .19753 (474*2π)/4881 weeks
475.02329 .18161 (475*2π)/4881 weeks
476.02239 .44482 (476*2π)/4881 weeks
477-.30638 .50687 (477*2π)/4881 weeks
478-.01188 .48741 (478*2π)/4881 weeks
479-.0743 .56667 (479*2π)/4881 weeks
480-.5069 .62725 (480*2π)/4881 weeks
481-.03272 .49495 (481*2π)/4881 weeks
482-.38309 .83931 (482*2π)/4881 weeks
483-.22008 1.30249 (483*2π)/4881 weeks
484.75781 1.07732 (484*2π)/4881 weeks
485-.46524 2.2601 (485*2π)/4881 weeks
486.55696 2.97208 (486*2π)/4881 weeks

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