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Fourier Analysis of IPN (SPDR S&P International Industri)


IPN (SPDR S&P International Industri) appears to have interesting cyclic behaviour every 40 weeks (.5676*sine), 44 weeks (.407*cosine), and 21 weeks (.3616*cosine).

IPN (SPDR S&P International Industri) has an average price of 24.33 (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 7/25/2008 to 1/17/2017 for IPN (SPDR S&P International Industri), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
024.33128   0 
1-1.18538 -4.70358 (1*2π)/444444 weeks
2-1.6778 -1.5858 (2*2π)/444222 weeks
31.19849 -2.2562 (3*2π)/444148 weeks
4.23071 -.97478 (4*2π)/444111 weeks
5.26856 -1.4074 (5*2π)/44489 weeks
61.06169 -1.42547 (6*2π)/44474 weeks
7.61551 -.62854 (7*2π)/44463 weeks
8-.21554 -.15927 (8*2π)/44456 weeks
9.40141 -.3831 (9*2π)/44449 weeks
10.40701 .09991 (10*2π)/44444 weeks
11.17537 -.56755 (11*2π)/44440 weeks
12.09123 .00453 (12*2π)/44437 weeks
13-.01619 .01146 (13*2π)/44434 weeks
14.27097 -.39989 (14*2π)/44432 weeks
15.22709 .0382 (15*2π)/44430 weeks
16.10053 -.19435 (16*2π)/44428 weeks
17-.02665 .01652 (17*2π)/44426 weeks
18-.03965 -.08723 (18*2π)/44425 weeks
19.1118 .14439 (19*2π)/44423 weeks
20.21808 .02548 (20*2π)/44422 weeks
21.36158 .12639 (21*2π)/44421 weeks
22.01959 .06578 (22*2π)/44420 weeks
23.22635 -.07617 (23*2π)/44419 weeks
24-.05925 -.01302 (24*2π)/44419 weeks
25-.12849 -.02602 (25*2π)/44418 weeks
26-.09382 .03262 (26*2π)/44417 weeks
27-.22338 .09742 (27*2π)/44416 weeks
28-.12855 -.18131 (28*2π)/44416 weeks
29-.00105 -.14146 (29*2π)/44415 weeks
30-.02734 -.18265 (30*2π)/44415 weeks
31.05477 -.01695 (31*2π)/44414 weeks
32-.10427 -.00584 (32*2π)/44414 weeks
33-.19013 -.20296 (33*2π)/44413 weeks
34.09451 -.10887 (34*2π)/44413 weeks
35.01156 .03002 (35*2π)/44413 weeks
36.00225 -.11845 (36*2π)/44412 weeks
37-.06419 -.10803 (37*2π)/44412 weeks
38-.13482 -.03017 (38*2π)/44412 weeks
39.13272 -.08553 (39*2π)/44411 weeks
40.0427 -.17649 (40*2π)/44411 weeks
41-.01232 -.04779 (41*2π)/44411 weeks
42-.047 -.11504 (42*2π)/44411 weeks
43-.01946 -.02423 (43*2π)/44410 weeks
44-.07391 -.06166 (44*2π)/44410 weeks
45-.08484 -.06298 (45*2π)/44410 weeks
46.09045 -.01165 (46*2π)/44410 weeks
47.01041 -.0674 (47*2π)/4449 weeks
48-.01936 -.02631 (48*2π)/4449 weeks
49-.0061 -.09019 (49*2π)/4449 weeks
50.02091 .0096 (50*2π)/4449 weeks
51-.01998 -.07125 (51*2π)/4449 weeks
52-.00969 -.00644 (52*2π)/4449 weeks
53.02028 -.01158 (53*2π)/4448 weeks
54.00553 -.13001 (54*2π)/4448 weeks
55-.01256 -.00796 (55*2π)/4448 weeks
56-.03898 -.12234 (56*2π)/4448 weeks
57.0474 -.08478 (57*2π)/4448 weeks
58.09766 -.05551 (58*2π)/4448 weeks
59.03538 -.06586 (59*2π)/4448 weeks
60.02889 .03206 (60*2π)/4447 weeks
61.02226 .05403 (61*2π)/4447 weeks
62-.02064 -.12317 (62*2π)/4447 weeks
63.05184 .03668 (63*2π)/4447 weeks
64.0067 .10616 (64*2π)/4447 weeks
65-.00028 -.03269 (65*2π)/4447 weeks
66-.02284 .06913 (66*2π)/4447 weeks
67-.06453 -.07057 (67*2π)/4447 weeks
68.02565 -.02015 (68*2π)/4447 weeks
69-.04829 .00207 (69*2π)/4446 weeks
70-.04233 -.05348 (70*2π)/4446 weeks
71-.10239 -.05814 (71*2π)/4446 weeks
72-.09281 -.01253 (72*2π)/4446 weeks
73-.06406 -.03711 (73*2π)/4446 weeks
74-.02366 -.03035 (74*2π)/4446 weeks
75-.0149 -.02445 (75*2π)/4446 weeks
76.03458 -.01611 (76*2π)/4446 weeks
77-.05173 .00363 (77*2π)/4446 weeks
78-.02201 .00188 (78*2π)/4446 weeks
79-.0222 -.06935 (79*2π)/4446 weeks
80-.00076 -.08452 (80*2π)/4446 weeks
81-.03599 -.1005 (81*2π)/4445 weeks
82-.05161 -.10872 (82*2π)/4445 weeks
83-.05049 -.05446 (83*2π)/4445 weeks
84-.00594 -.02665 (84*2π)/4445 weeks
85-.03128 -.04659 (85*2π)/4445 weeks
86.04167 -.00637 (86*2π)/4445 weeks
87.01182 -.05306 (87*2π)/4445 weeks
88.03594 -.10048 (88*2π)/4445 weeks
89.00466 -.04298 (89*2π)/4445 weeks
90-.02673 -.00594 (90*2π)/4445 weeks
91-.01577 .02433 (91*2π)/4445 weeks
92-.01382 -.05797 (92*2π)/4445 weeks
93.01083 .04322 (93*2π)/4445 weeks
94.03331 -.01303 (94*2π)/4445 weeks
95-.04318 -.0557 (95*2π)/4445 weeks
96.01193 -.01963 (96*2π)/4445 weeks
97-.02817 -.01987 (97*2π)/4445 weeks
98-.02112 .00983 (98*2π)/4445 weeks
99.02829 .00551 (99*2π)/4444 weeks
100-.08476 .01981 (100*2π)/4444 weeks
101-.0129 .01118 (101*2π)/4444 weeks
102.04121 -.01841 (102*2π)/4444 weeks
103-.02168 -.05366 (103*2π)/4444 weeks
104-.00976 -.03663 (104*2π)/4444 weeks
105.0081 .05531 (105*2π)/4444 weeks
106-.03749 -.04701 (106*2π)/4444 weeks
107-.05535 -.06824 (107*2π)/4444 weeks
108-.04743 .02216 (108*2π)/4444 weeks
109-.00057 .01506 (109*2π)/4444 weeks
110.03085 -.04119 (110*2π)/4444 weeks
111.07313 -.03941 (111*2π)/4444 weeks
112-.00211 .0131 (112*2π)/4444 weeks
113-.03196 -.00967 (113*2π)/4444 weeks
114-.04273 .0542 (114*2π)/4444 weeks
115-.05467 -.00455 (115*2π)/4444 weeks
116-.01911 -.02439 (116*2π)/4444 weeks
117.00613 .04573 (117*2π)/4444 weeks
118.00731 .01383 (118*2π)/4444 weeks
119-.00344 -.00053 (119*2π)/4444 weeks
120-.06036 .01583 (120*2π)/4444 weeks
121-.01805 -.00964 (121*2π)/4444 weeks
122-.05149 .04869 (122*2π)/4444 weeks
123-.05696 -.01516 (123*2π)/4444 weeks
124-.03433 -.0154 (124*2π)/4444 weeks
125-.02383 -.01627 (125*2π)/4444 weeks
126.0104 -.00535 (126*2π)/4444 weeks
127.00515 .01347 (127*2π)/4443 weeks
128-.04897 .02728 (128*2π)/4443 weeks
129-.00914 -.02892 (129*2π)/4443 weeks
130.00617 -.02752 (130*2π)/4443 weeks
131-.01974 .02705 (131*2π)/4443 weeks
132-.00585 .02128 (132*2π)/4443 weeks
133-.02977 -.06039 (133*2π)/4443 weeks
134-.02755 .04045 (134*2π)/4443 weeks
135-.04001 -.01599 (135*2π)/4443 weeks
136-.03577 -.04285 (136*2π)/4443 weeks
137-.04236 -.00823 (137*2π)/4443 weeks
138-.03455 -.01696 (138*2π)/4443 weeks
139-.02956 -.06419 (139*2π)/4443 weeks
140-.06559 -.01373 (140*2π)/4443 weeks
141-.0459 -.04507 (141*2π)/4443 weeks
142-.02871 -.01426 (142*2π)/4443 weeks
143-.02824 -.00988 (143*2π)/4443 weeks
144-.01405 -.05258 (144*2π)/4443 weeks
145.01198 -.01897 (145*2π)/4443 weeks
146.00079 -.02727 (146*2π)/4443 weeks
147-.01026 -.02522 (147*2π)/4443 weeks
148-.02111 .00116 (148*2π)/4443 weeks
149.00876 .00003 (149*2π)/4443 weeks
150.01046 -.01746 (150*2π)/4443 weeks
151.02578 -.02801 (151*2π)/4443 weeks
152-.00345 .01045 (152*2π)/4443 weeks
153-.04571 .01157 (153*2π)/4443 weeks
154-.00056 -.00098 (154*2π)/4443 weeks
155-.01529 .02153 (155*2π)/4443 weeks
156.01582 -.03724 (156*2π)/4443 weeks
157.0112 .00179 (157*2π)/4443 weeks
158-.07355 .00732 (158*2π)/4443 weeks
159-.02911 -.01291 (159*2π)/4443 weeks
160-.04292 -.00484 (160*2π)/4443 weeks
161-.02763 -.02131 (161*2π)/4443 weeks
162.03267 -.0124 (162*2π)/4443 weeks
163-.02211 .03157 (163*2π)/4443 weeks
164.00828 -.04248 (164*2π)/4443 weeks
165.0029 .04958 (165*2π)/4443 weeks
166-.01846 .01418 (166*2π)/4443 weeks
167-.04173 .01051 (167*2π)/4443 weeks
168-.02943 .01164 (168*2π)/4443 weeks
169-.03584 -.00716 (169*2π)/4443 weeks
170-.00763 -.00299 (170*2π)/4443 weeks
171-.02488 -.01081 (171*2π)/4443 weeks
172-.05295 -.02051 (172*2π)/4443 weeks
173.02288 -.00397 (173*2π)/4443 weeks
174-.0212 -.01366 (174*2π)/4443 weeks
175.00903 -.02526 (175*2π)/4443 weeks
176-.01882 .00056 (176*2π)/4443 weeks
177-.05608 .00963 (177*2π)/4443 weeks
178-.04065 -.0371 (178*2π)/4442 weeks
179-.00099 -.02797 (179*2π)/4442 weeks
180-.00801 -.00617 (180*2π)/4442 weeks
181-.03206 -.02016 (181*2π)/4442 weeks
182-.02085 -.04155 (182*2π)/4442 weeks
183-.01231 -.01408 (183*2π)/4442 weeks
184-.02267 -.05043 (184*2π)/4442 weeks
185.01118 .04012 (185*2π)/4442 weeks
186-.00102 .01535 (186*2π)/4442 weeks
187-.00231 -.00273 (187*2π)/4442 weeks
188.00867 .00632 (188*2π)/4442 weeks
189.00402 -.00084 (189*2π)/4442 weeks
190.00676 .00793 (190*2π)/4442 weeks
191.00652 .00397 (191*2π)/4442 weeks
192-.01696 -.01758 (192*2π)/4442 weeks
193.04221 .01662 (193*2π)/4442 weeks
194-.02351 -.02257 (194*2π)/4442 weeks
195-.00023 -.01024 (195*2π)/4442 weeks
196-.02468 .0152 (196*2π)/4442 weeks
197-.00305 -.00814 (197*2π)/4442 weeks
198.02237 .02202 (198*2π)/4442 weeks
199-.00053 .02714 (199*2π)/4442 weeks
200-.02693 -.03817 (200*2π)/4442 weeks
201-.01658 .02054 (201*2π)/4442 weeks
202-.01548 .00032 (202*2π)/4442 weeks
203.00037 -.00848 (203*2π)/4442 weeks
204-.02985 .02377 (204*2π)/4442 weeks
205-.0214 .01226 (205*2π)/4442 weeks
206.00783 .00825 (206*2π)/4442 weeks
207-.06847 .02349 (207*2π)/4442 weeks
208-.0278 -.02635 (208*2π)/4442 weeks
209.03093 -.01289 (209*2π)/4442 weeks
210-.05237 -.0162 (210*2π)/4442 weeks
211-.03931 -.04237 (211*2π)/4442 weeks
212-.04013 -.04589 (212*2π)/4442 weeks
213-.02857 -.00038 (213*2π)/4442 weeks
214-.05104 .02548 (214*2π)/4442 weeks
215-.03314 .03328 (215*2π)/4442 weeks
216-.01185 -.04516 (216*2π)/4442 weeks
217.01494 -.02018 (217*2π)/4442 weeks
218-.01707 .01143 (218*2π)/4442 weeks
219-.03362 .00176 (219*2π)/4442 weeks
220-.02147 .03449 (220*2π)/4442 weeks
221-.0126 -.00251 (221*2π)/4442 weeks
222.01781   (222*2π)/4442 weeks
223-.0126 .00251 (223*2π)/4442 weeks
224-.02147 -.03449 (224*2π)/4442 weeks
225-.03362 -.00176 (225*2π)/4442 weeks
226-.01707 -.01143 (226*2π)/4442 weeks
227.01494 .02018 (227*2π)/4442 weeks
228-.01185 .04516 (228*2π)/4442 weeks
229-.03314 -.03328 (229*2π)/4442 weeks
230-.05104 -.02548 (230*2π)/4442 weeks
231-.02857 .00038 (231*2π)/4442 weeks
232-.04013 .04589 (232*2π)/4442 weeks
233-.03931 .04237 (233*2π)/4442 weeks
234-.05237 .0162 (234*2π)/4442 weeks
235.03093 .01289 (235*2π)/4442 weeks
236-.0278 .02635 (236*2π)/4442 weeks
237-.06847 -.02349 (237*2π)/4442 weeks
238.00783 -.00825 (238*2π)/4442 weeks
239-.0214 -.01226 (239*2π)/4442 weeks
240-.02985 -.02377 (240*2π)/4442 weeks
241.00037 .00848 (241*2π)/4442 weeks
242-.01548 -.00032 (242*2π)/4442 weeks
243-.01658 -.02054 (243*2π)/4442 weeks
244-.02693 .03817 (244*2π)/4442 weeks
245-.00053 -.02714 (245*2π)/4442 weeks
246.02237 -.02202 (246*2π)/4442 weeks
247-.00305 .00814 (247*2π)/4442 weeks
248-.02468 -.0152 (248*2π)/4442 weeks
249-.00023 .01024 (249*2π)/4442 weeks
250-.02351 .02257 (250*2π)/4442 weeks
251.04221 -.01662 (251*2π)/4442 weeks
252-.01696 .01758 (252*2π)/4442 weeks
253.00652 -.00397 (253*2π)/4442 weeks
254.00676 -.00793 (254*2π)/4442 weeks
255.00402 .00084 (255*2π)/4442 weeks
256.00867 -.00632 (256*2π)/4442 weeks
257-.00231 .00273 (257*2π)/4442 weeks
258-.00102 -.01535 (258*2π)/4442 weeks
259.01118 -.04012 (259*2π)/4442 weeks
260-.02267 .05043 (260*2π)/4442 weeks
261-.01231 .01408 (261*2π)/4442 weeks
262-.02085 .04155 (262*2π)/4442 weeks
263-.03206 .02016 (263*2π)/4442 weeks
264-.00801 .00617 (264*2π)/4442 weeks
265-.00099 .02797 (265*2π)/4442 weeks
266-.04065 .0371 (266*2π)/4442 weeks
267-.05608 -.00963 (267*2π)/4442 weeks
268-.01882 -.00056 (268*2π)/4442 weeks
269.00903 .02526 (269*2π)/4442 weeks
270-.0212 .01366 (270*2π)/4442 weeks
271.02288 .00397 (271*2π)/4442 weeks
272-.05295 .02051 (272*2π)/4442 weeks
273-.02488 .01081 (273*2π)/4442 weeks
274-.00763 .00299 (274*2π)/4442 weeks
275-.03584 .00716 (275*2π)/4442 weeks
276-.02943 -.01164 (276*2π)/4442 weeks
277-.04173 -.01051 (277*2π)/4442 weeks
278-.01846 -.01418 (278*2π)/4442 weeks
279.0029 -.04958 (279*2π)/4442 weeks
280.00828 .04248 (280*2π)/4442 weeks
281-.02211 -.03157 (281*2π)/4442 weeks
282.03267 .0124 (282*2π)/4442 weeks
283-.02763 .02131 (283*2π)/4442 weeks
284-.04292 .00484 (284*2π)/4442 weeks
285-.02911 .01291 (285*2π)/4442 weeks
286-.07355 -.00732 (286*2π)/4442 weeks
287.0112 -.00179 (287*2π)/4442 weeks
288.01582 .03724 (288*2π)/4442 weeks
289-.01529 -.02153 (289*2π)/4442 weeks
290-.00056 .00098 (290*2π)/4442 weeks
291-.04571 -.01157 (291*2π)/4442 weeks
292-.00345 -.01045 (292*2π)/4442 weeks
293.02578 .02801 (293*2π)/4442 weeks
294.01046 .01746 (294*2π)/4442 weeks
295.00876 -.00003 (295*2π)/4442 weeks
296-.02111 -.00116 (296*2π)/4442 weeks
297-.01026 .02522 (297*2π)/4441 weeks
298.00079 .02727 (298*2π)/4441 weeks
299.01198 .01897 (299*2π)/4441 weeks
300-.01405 .05258 (300*2π)/4441 weeks
301-.02824 .00988 (301*2π)/4441 weeks
302-.02871 .01426 (302*2π)/4441 weeks
303-.0459 .04507 (303*2π)/4441 weeks
304-.06559 .01373 (304*2π)/4441 weeks
305-.02956 .06419 (305*2π)/4441 weeks
306-.03455 .01696 (306*2π)/4441 weeks
307-.04236 .00823 (307*2π)/4441 weeks
308-.03577 .04285 (308*2π)/4441 weeks
309-.04001 .01599 (309*2π)/4441 weeks
310-.02755 -.04045 (310*2π)/4441 weeks
311-.02977 .06039 (311*2π)/4441 weeks
312-.00585 -.02128 (312*2π)/4441 weeks
313-.01974 -.02705 (313*2π)/4441 weeks
314.00617 .02752 (314*2π)/4441 weeks
315-.00914 .02892 (315*2π)/4441 weeks
316-.04897 -.02728 (316*2π)/4441 weeks
317.00515 -.01347 (317*2π)/4441 weeks
318.0104 .00535 (318*2π)/4441 weeks
319-.02383 .01627 (319*2π)/4441 weeks
320-.03433 .0154 (320*2π)/4441 weeks
321-.05696 .01516 (321*2π)/4441 weeks
322-.05149 -.04869 (322*2π)/4441 weeks
323-.01805 .00964 (323*2π)/4441 weeks
324-.06036 -.01583 (324*2π)/4441 weeks
325-.00344 .00053 (325*2π)/4441 weeks
326.00731 -.01383 (326*2π)/4441 weeks
327.00613 -.04573 (327*2π)/4441 weeks
328-.01911 .02439 (328*2π)/4441 weeks
329-.05467 .00455 (329*2π)/4441 weeks
330-.04273 -.0542 (330*2π)/4441 weeks
331-.03196 .00967 (331*2π)/4441 weeks
332-.00211 -.0131 (332*2π)/4441 weeks
333.07313 .03941 (333*2π)/4441 weeks
334.03085 .04119 (334*2π)/4441 weeks
335-.00057 -.01506 (335*2π)/4441 weeks
336-.04743 -.02216 (336*2π)/4441 weeks
337-.05535 .06824 (337*2π)/4441 weeks
338-.03749 .04701 (338*2π)/4441 weeks
339.0081 -.05531 (339*2π)/4441 weeks
340-.00976 .03663 (340*2π)/4441 weeks
341-.02168 .05366 (341*2π)/4441 weeks
342.04121 .01841 (342*2π)/4441 weeks
343-.0129 -.01118 (343*2π)/4441 weeks
344-.08476 -.01981 (344*2π)/4441 weeks
345.02829 -.00551 (345*2π)/4441 weeks
346-.02112 -.00983 (346*2π)/4441 weeks
347-.02817 .01987 (347*2π)/4441 weeks
348.01193 .01963 (348*2π)/4441 weeks
349-.04318 .0557 (349*2π)/4441 weeks
350.03331 .01303 (350*2π)/4441 weeks
351.01083 -.04322 (351*2π)/4441 weeks
352-.01382 .05797 (352*2π)/4441 weeks
353-.01577 -.02433 (353*2π)/4441 weeks
354-.02673 .00594 (354*2π)/4441 weeks
355.00466 .04298 (355*2π)/4441 weeks
356.03594 .10048 (356*2π)/4441 weeks
357.01182 .05306 (357*2π)/4441 weeks
358.04167 .00637 (358*2π)/4441 weeks
359-.03128 .04659 (359*2π)/4441 weeks
360-.00594 .02665 (360*2π)/4441 weeks
361-.05049 .05446 (361*2π)/4441 weeks
362-.05161 .10872 (362*2π)/4441 weeks
363-.03599 .1005 (363*2π)/4441 weeks
364-.00076 .08452 (364*2π)/4441 weeks
365-.0222 .06935 (365*2π)/4441 weeks
366-.02201 -.00188 (366*2π)/4441 weeks
367-.05173 -.00363 (367*2π)/4441 weeks
368.03458 .01611 (368*2π)/4441 weeks
369-.0149 .02445 (369*2π)/4441 weeks
370-.02366 .03035 (370*2π)/4441 weeks
371-.06406 .03711 (371*2π)/4441 weeks
372-.09281 .01253 (372*2π)/4441 weeks
373-.10239 .05814 (373*2π)/4441 weeks
374-.04233 .05348 (374*2π)/4441 weeks
375-.04829 -.00207 (375*2π)/4441 weeks
376.02565 .02015 (376*2π)/4441 weeks
377-.06453 .07057 (377*2π)/4441 weeks
378-.02284 -.06913 (378*2π)/4441 weeks
379-.00028 .03269 (379*2π)/4441 weeks
380.0067 -.10616 (380*2π)/4441 weeks
381.05184 -.03668 (381*2π)/4441 weeks
382-.02064 .12317 (382*2π)/4441 weeks
383.02226 -.05403 (383*2π)/4441 weeks
384.02889 -.03206 (384*2π)/4441 weeks
385.03538 .06586 (385*2π)/4441 weeks
386.09766 .05551 (386*2π)/4441 weeks
387.0474 .08478 (387*2π)/4441 weeks
388-.03898 .12234 (388*2π)/4441 weeks
389-.01256 .00796 (389*2π)/4441 weeks
390.00553 .13001 (390*2π)/4441 weeks
391.02028 .01158 (391*2π)/4441 weeks
392-.00969 .00644 (392*2π)/4441 weeks
393-.01998 .07125 (393*2π)/4441 weeks
394.02091 -.0096 (394*2π)/4441 weeks
395-.0061 .09019 (395*2π)/4441 weeks
396-.01936 .02631 (396*2π)/4441 weeks
397.01041 .0674 (397*2π)/4441 weeks
398.09045 .01165 (398*2π)/4441 weeks
399-.08484 .06298 (399*2π)/4441 weeks
400-.07391 .06166 (400*2π)/4441 weeks
401-.01946 .02423 (401*2π)/4441 weeks
402-.047 .11504 (402*2π)/4441 weeks
403-.01232 .04779 (403*2π)/4441 weeks
404.0427 .17649 (404*2π)/4441 weeks
405.13272 .08553 (405*2π)/4441 weeks
406-.13482 .03017 (406*2π)/4441 weeks
407-.06419 .10803 (407*2π)/4441 weeks
408.00225 .11845 (408*2π)/4441 weeks
409.01156 -.03002 (409*2π)/4441 weeks
410.09451 .10887 (410*2π)/4441 weeks
411-.19013 .20296 (411*2π)/4441 weeks
412-.10427 .00584 (412*2π)/4441 weeks
413.05477 .01695 (413*2π)/4441 weeks
414-.02734 .18265 (414*2π)/4441 weeks
415-.00105 .14146 (415*2π)/4441 weeks
416-.12855 .18131 (416*2π)/4441 weeks
417-.22338 -.09742 (417*2π)/4441 weeks
418-.09382 -.03262 (418*2π)/4441 weeks
419-.12849 .02602 (419*2π)/4441 weeks
420-.05925 .01302 (420*2π)/4441 weeks
421.22635 .07617 (421*2π)/4441 weeks
422.01959 -.06578 (422*2π)/4441 weeks
423.36158 -.12639 (423*2π)/4441 weeks
424.21808 -.02548 (424*2π)/4441 weeks
425.1118 -.14439 (425*2π)/4441 weeks
426-.03965 .08723 (426*2π)/4441 weeks
427-.02665 -.01652 (427*2π)/4441 weeks
428.10053 .19435 (428*2π)/4441 weeks
429.22709 -.0382 (429*2π)/4441 weeks
430.27097 .39989 (430*2π)/4441 weeks
431-.01619 -.01146 (431*2π)/4441 weeks
432.09123 -.00453 (432*2π)/4441 weeks
433.17537 .56755 (433*2π)/4441 weeks
434.40701 -.09991 (434*2π)/4441 weeks
435.40141 .3831 (435*2π)/4441 weeks
436-.21554 .15927 (436*2π)/4441 weeks
437.61551 .62854 (437*2π)/4441 weeks
4381.06169 1.42547 (438*2π)/4441 weeks
439.26856 1.4074 (439*2π)/4441 weeks
440.23071 .97478 (440*2π)/4441 weeks
4411.19849 2.2562 (441*2π)/4441 weeks
442-1.6778 1.5858 (442*2π)/4441 weeks

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