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Fourier Analysis of ABB (ABB Ltd Common Stock)


ABB (ABB Ltd Common Stock) appears to have interesting cyclic behaviour every 76 weeks (1.1074*sine), 64 weeks (.5204*sine), and 52 weeks (.4239*cosine).

ABB (ABB Ltd Common Stock) has an average price of 13.13 (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 4/6/2001 to 4/17/2017 for ABB (ABB Ltd Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
013.13464   0 
1-1.93121 -6.86331 (1*2π)/837837 weeks
21.19248 -4.26894 (2*2π)/837419 weeks
3.75423 -.18652 (3*2π)/837279 weeks
4-.44477 -1.14148 (4*2π)/837209 weeks
52.41016 -.41974 (5*2π)/837167 weeks
6-.33902 -1.16098 (6*2π)/837140 weeks
7.54286 -.54647 (7*2π)/837120 weeks
8-.27312 -.0474 (8*2π)/837105 weeks
9.31342 -1.36247 (9*2π)/83793 weeks
10-.14326 -.04376 (10*2π)/83784 weeks
11.30877 -1.10736 (11*2π)/83776 weeks
12-.31275 -.27129 (12*2π)/83770 weeks
13.22307 -.52039 (13*2π)/83764 weeks
14-.12158 .09875 (14*2π)/83760 weeks
15.12897 -.24118 (15*2π)/83756 weeks
16.42385 -.02515 (16*2π)/83752 weeks
17-.0563 -.41801 (17*2π)/83749 weeks
18.23488 .25359 (18*2π)/83747 weeks
19.14226 -.3969 (19*2π)/83744 weeks
20.20337 -.25565 (20*2π)/83742 weeks
21-.34066 .04186 (21*2π)/83740 weeks
22.29807 -.40981 (22*2π)/83738 weeks
23-.15202 .0636 (23*2π)/83736 weeks
24.12166 -.14149 (24*2π)/83735 weeks
25.23386 -.16281 (25*2π)/83733 weeks
26-.16489 -.32044 (26*2π)/83732 weeks
27.27745 .13897 (27*2π)/83731 weeks
28-.05356 -.32555 (28*2π)/83730 weeks
29.06861 .02445 (29*2π)/83729 weeks
30-.18724 .00151 (30*2π)/83728 weeks
31.06788 -.07909 (31*2π)/83727 weeks
32.00672 -.06052 (32*2π)/83726 weeks
33-.13398 -.10704 (33*2π)/83725 weeks
34.13465 -.14578 (34*2π)/83725 weeks
35-.24844 -.17261 (35*2π)/83724 weeks
36-.0236 -.26 (36*2π)/83723 weeks
37-.20052 -.09006 (37*2π)/83723 weeks
38-.10431 -.13303 (38*2π)/83722 weeks
39-.05381 -.22616 (39*2π)/83721 weeks
40-.26898 .0686 (40*2π)/83721 weeks
41.09741 -.13692 (41*2π)/83720 weeks
42-.10449 .02681 (42*2π)/83720 weeks
43-.0686 -.12053 (43*2π)/83719 weeks
44.01906 -.03993 (44*2π)/83719 weeks
45-.00851 -.12748 (45*2π)/83719 weeks
46.06359 .02012 (46*2π)/83718 weeks
47.01165 -.14445 (47*2π)/83718 weeks
48.07952 .00591 (48*2π)/83717 weeks
49-.08946 -.09581 (49*2π)/83717 weeks
50.04255 -.05007 (50*2π)/83717 weeks
51-.12886 -.04949 (51*2π)/83716 weeks
52.12916 .02934 (52*2π)/83716 weeks
53-.10144 -.11813 (53*2π)/83716 weeks
54.12121 -.05032 (54*2π)/83716 weeks
55-.05076 -.04039 (55*2π)/83715 weeks
56.01596 -.08163 (56*2π)/83715 weeks
57-.03978 -.0273 (57*2π)/83715 weeks
58-.0448 -.01925 (58*2π)/83714 weeks
59.05046 -.01843 (59*2π)/83714 weeks
60-.09896 -.13804 (60*2π)/83714 weeks
61.03423 .01857 (61*2π)/83714 weeks
62-.10043 -.16529 (62*2π)/83714 weeks
63-.07757 .0335 (63*2π)/83713 weeks
64.01819 -.07198 (64*2π)/83713 weeks
65-.07581 -.06348 (65*2π)/83713 weeks
66.03208 -.02501 (66*2π)/83713 weeks
67.06751 -.06575 (67*2π)/83712 weeks
68-.03176 -.09788 (68*2π)/83712 weeks
69.00868 -.11355 (69*2π)/83712 weeks
70-.01232 -.03931 (70*2π)/83712 weeks
71-.11019 -.13 (71*2π)/83712 weeks
72-.06738 .00691 (72*2π)/83712 weeks
73.02942 -.08467 (73*2π)/83711 weeks
74-.01386 -.14335 (74*2π)/83711 weeks
75-.04392 -.09558 (75*2π)/83711 weeks
76-.07625 -.09322 (76*2π)/83711 weeks
77.04305 -.05584 (77*2π)/83711 weeks
78-.05606 -.07934 (78*2π)/83711 weeks
79.03631 -.10994 (79*2π)/83711 weeks
80-.02404 -.02192 (80*2π)/83710 weeks
81.04065 -.0546 (81*2π)/83710 weeks
82-.02885 -.04555 (82*2π)/83710 weeks
83-.01445 -.00145 (83*2π)/83710 weeks
84-.00432 -.0439 (84*2π)/83710 weeks
85.00222 -.02861 (85*2π)/83710 weeks
86.04345 -.09202 (86*2π)/83710 weeks
87-.06226 -.04596 (87*2π)/83710 weeks
88.03341 -.06678 (88*2π)/83710 weeks
89-.01167 -.04753 (89*2π)/8379 weeks
90-.03023 -.07397 (90*2π)/8379 weeks
91-.0085 .01936 (91*2π)/8379 weeks
92-.01841 -.05368 (92*2π)/8379 weeks
93.00185 .00462 (93*2π)/8379 weeks
94-.04459 -.0727 (94*2π)/8379 weeks
95-.04555 -.04805 (95*2π)/8379 weeks
96-.03273 -.03077 (96*2π)/8379 weeks
97-.07154 -.0639 (97*2π)/8379 weeks
98-.0379 -.0752 (98*2π)/8379 weeks
99-.05942 -.05087 (99*2π)/8378 weeks
100-.09906 -.07506 (100*2π)/8378 weeks
101-.0433 -.01693 (101*2π)/8378 weeks
102.00031 -.02921 (102*2π)/8378 weeks
103-.02545 -.04696 (103*2π)/8378 weeks
104-.02678 -.02718 (104*2π)/8378 weeks
105.04713 -.00967 (105*2π)/8378 weeks
106-.03395 -.06415 (106*2π)/8378 weeks
107-.04481 -.01356 (107*2π)/8378 weeks
108.02195 -.02903 (108*2π)/8378 weeks
109-.08213 .05609 (109*2π)/8378 weeks
110.03837 -.04648 (110*2π)/8378 weeks
111.02357 .01186 (111*2π)/8378 weeks
112.00189 -.10532 (112*2π)/8377 weeks
113-.06264 -.0248 (113*2π)/8377 weeks
114-.03626 -.06507 (114*2π)/8377 weeks
115-.03274 -.01675 (115*2π)/8377 weeks
116.051 .01088 (116*2π)/8377 weeks
117.03369 -.09077 (117*2π)/8377 weeks
118-.02099 -.01847 (118*2π)/8377 weeks
119.01431 -.01839 (119*2π)/8377 weeks
120-.06265 -.05159 (120*2π)/8377 weeks
121-.00105 .02575 (121*2π)/8377 weeks
122-.02138 -.04709 (122*2π)/8377 weeks
123.0112 -.04496 (123*2π)/8377 weeks
124-.04833 -.01852 (124*2π)/8377 weeks
125.04466 -.01149 (125*2π)/8377 weeks
126-.01149 -.07409 (126*2π)/8377 weeks
127-.00416 -.01639 (127*2π)/8377 weeks
128.04359 -.00669 (128*2π)/8377 weeks
129.01258 -.04003 (129*2π)/8376 weeks
130.01838 .03451 (130*2π)/8376 weeks
131-.00059 -.03813 (131*2π)/8376 weeks
132.01266 -.01844 (132*2π)/8376 weeks
133-.0317 -.04099 (133*2π)/8376 weeks
134-.04345 -.01377 (134*2π)/8376 weeks
135-.05384 -.02468 (135*2π)/8376 weeks
136-.04118 .00993 (136*2π)/8376 weeks
137-.03891 -.04068 (137*2π)/8376 weeks
138.00043 .00061 (138*2π)/8376 weeks
139.01072 -.05222 (139*2π)/8376 weeks
140-.04473 .00283 (140*2π)/8376 weeks
141-.00012 -.04036 (141*2π)/8376 weeks
142-.01501 .03267 (142*2π)/8376 weeks
143.00069 -.04052 (143*2π)/8376 weeks
144-.03481 -.01232 (144*2π)/8376 weeks
145.00834 -.00173 (145*2π)/8376 weeks
146.01446 -.03954 (146*2π)/8376 weeks
147.00161 -.03169 (147*2π)/8376 weeks
148-.03158 -.08455 (148*2π)/8376 weeks
149-.00781 -.02769 (149*2π)/8376 weeks
150-.05566 -.05328 (150*2π)/8376 weeks
151-.03105 -.0415 (151*2π)/8376 weeks
152-.02282 .01466 (152*2π)/8376 weeks
153-.03379 -.04582 (153*2π)/8375 weeks
154.0016 -.02215 (154*2π)/8375 weeks
155-.03621 -.01737 (155*2π)/8375 weeks
156.00146 -.02815 (156*2π)/8375 weeks
157.00711 -.03511 (157*2π)/8375 weeks
158-.05043 -.04975 (158*2π)/8375 weeks
159-.01561 -.00791 (159*2π)/8375 weeks
160.00235 -.0209 (160*2π)/8375 weeks
161-.0067 -.04497 (161*2π)/8375 weeks
162-.01683 -.03961 (162*2π)/8375 weeks
163-.05564 -.01012 (163*2π)/8375 weeks
164.00782 -.0152 (164*2π)/8375 weeks
165-.0457 -.01532 (165*2π)/8375 weeks
166.00967 -.00085 (166*2π)/8375 weeks
167-.04673 -.05325 (167*2π)/8375 weeks
168-.01672 .01599 (168*2π)/8375 weeks
169.01712 -.02322 (169*2π)/8375 weeks
170.00041 -.02086 (170*2π)/8375 weeks
171-.03789 -.04185 (171*2π)/8375 weeks
172-.00589 -.03201 (172*2π)/8375 weeks
173-.02678 .01851 (173*2π)/8375 weeks
174.04374 -.05576 (174*2π)/8375 weeks
175-.04687 -.00574 (175*2π)/8375 weeks
176-.0034 -.01184 (176*2π)/8375 weeks
177-.00991 .0087 (177*2π)/8375 weeks
178-.0151 -.04613 (178*2π)/8375 weeks
179.03569 .0176 (179*2π)/8375 weeks
180-.02761 -.04725 (180*2π)/8375 weeks
181.00653 -.0106 (181*2π)/8375 weeks
182-.01241 -.01086 (182*2π)/8375 weeks
183-.02255 -.03341 (183*2π)/8375 weeks
184-.02004 -.00349 (184*2π)/8375 weeks
185-.0161 -.00609 (185*2π)/8375 weeks
186-.02572 -.04325 (186*2π)/8375 weeks
187.01481 .01282 (187*2π)/8374 weeks
188-.03928 -.09666 (188*2π)/8374 weeks
189-.01973 .01149 (189*2π)/8374 weeks
190-.0444 -.029 (190*2π)/8374 weeks
191.04193 -.00793 (191*2π)/8374 weeks
192-.0204 -.00995 (192*2π)/8374 weeks
193.02161 -.06347 (193*2π)/8374 weeks
194-.00525 .00433 (194*2π)/8374 weeks
195-.04079 -.0234 (195*2π)/8374 weeks
196.01678 -.0028 (196*2π)/8374 weeks
197-.04113 -.01637 (197*2π)/8374 weeks
198.0141 -.02088 (198*2π)/8374 weeks
199-.04779 -.03483 (199*2π)/8374 weeks
200-.02694 -.03598 (200*2π)/8374 weeks
201-.0175 .02699 (201*2π)/8374 weeks
202-.07184 -.00784 (202*2π)/8374 weeks
203.01155 .00577 (203*2π)/8374 weeks
204-.03588 .02971 (204*2π)/8374 weeks
205.02935 -.02227 (205*2π)/8374 weeks
206-.00566 -.00481 (206*2π)/8374 weeks
207-.00139 -.05923 (207*2π)/8374 weeks
208-.01854 -.0043 (208*2π)/8374 weeks
209-.0162 -.0582 (209*2π)/8374 weeks
210-.02474 -.00377 (210*2π)/8374 weeks
211-.00596 -.01189 (211*2π)/8374 weeks
212-.01494 -.03073 (212*2π)/8374 weeks
213-.0046 -.00645 (213*2π)/8374 weeks
214-.01577 -.0217 (214*2π)/8374 weeks
215.01758 -.01694 (215*2π)/8374 weeks
216-.03695 -.01708 (216*2π)/8374 weeks
217.00736 -.01141 (217*2π)/8374 weeks
218-.02646 -.03328 (218*2π)/8374 weeks
219.00363 .00642 (219*2π)/8374 weeks
220-.02502 -.05026 (220*2π)/8374 weeks
221-.0252 -.02967 (221*2π)/8374 weeks
222-.02167 -.03242 (222*2π)/8374 weeks
223-.0343 -.0022 (223*2π)/8374 weeks
224-.01595 -.01839 (224*2π)/8374 weeks
225-.02936 .00027 (225*2π)/8374 weeks
226.01141 -.02204 (226*2π)/8374 weeks
227-.02907 -.03572 (227*2π)/8374 weeks
228-.01305 -.00503 (228*2π)/8374 weeks
229-.00032 -.00759 (229*2π)/8374 weeks
230.00239 -.05362 (230*2π)/8374 weeks
231-.02759 -.02917 (231*2π)/8374 weeks
232-.02466 -.01368 (232*2π)/8374 weeks
233-.02417 -.00606 (233*2π)/8374 weeks
234-.002 -.01988 (234*2π)/8374 weeks
235-.03514 .01139 (235*2π)/8374 weeks
236-.03318 -.04029 (236*2π)/8374 weeks
237-.01454 .01611 (237*2π)/8374 weeks
238-.02532 .00058 (238*2π)/8374 weeks
239-.00357 -.01629 (239*2π)/8374 weeks
240-.01807 .00742 (240*2π)/8373 weeks
241-.00772 -.06203 (241*2π)/8373 weeks
242-.03844 .01517 (242*2π)/8373 weeks
243-.00237 -.01302 (243*2π)/8373 weeks
244.02031 -.00067 (244*2π)/8373 weeks
245-.01364 .01948 (245*2π)/8373 weeks
246.01092 -.01793 (246*2π)/8373 weeks
247-.02575 -.0118 (247*2π)/8373 weeks
248-.036 .00446 (248*2π)/8373 weeks
249.00005 .00192 (249*2π)/8373 weeks
250.00232 -.00509 (250*2π)/8373 weeks
251-.03613 -.03651 (251*2π)/8373 weeks
252-.02598 -.00271 (252*2π)/8373 weeks
253-.03504 -.00107 (253*2π)/8373 weeks
254.0005 -.03322 (254*2π)/8373 weeks
255-.03236 .00345 (255*2π)/8373 weeks
256-.01374 -.05528 (256*2π)/8373 weeks
257-.01623 -.00046 (257*2π)/8373 weeks
258-.03662 -.02308 (258*2π)/8373 weeks
259-.02491 .00799 (259*2π)/8373 weeks
260-.02061 -.0135 (260*2π)/8373 weeks
261-.00545 -.02347 (261*2π)/8373 weeks
262-.03268 -.0571 (262*2π)/8373 weeks
263-.03863 -.0277 (263*2π)/8373 weeks
264-.02045 -.01493 (264*2π)/8373 weeks
265.00446 -.00209 (265*2π)/8373 weeks
266-.0392 -.0124 (266*2π)/8373 weeks
267.01384 .00093 (267*2π)/8373 weeks
268-.02015 .02749 (268*2π)/8373 weeks
269.01393 -.02829 (269*2π)/8373 weeks
270-.00849 .01499 (270*2π)/8373 weeks
271-.01917 -.04508 (271*2π)/8373 weeks
272-.01968 .02256 (272*2π)/8373 weeks
273-.00687 -.01832 (273*2π)/8373 weeks
274-.01 .00165 (274*2π)/8373 weeks
275-.02584 -.02101 (275*2π)/8373 weeks
276.00333 -.01908 (276*2π)/8373 weeks
277-.02356 -.01219 (277*2π)/8373 weeks
278.00965 -.02712 (278*2π)/8373 weeks
279-.01311 .00364 (279*2π)/8373 weeks
280.00303 -.03915 (280*2π)/8373 weeks
281-.01968 -.02345 (281*2π)/8373 weeks
282-.0292 -.0317 (282*2π)/8373 weeks
283-.01772 .01453 (283*2π)/8373 weeks
284-.00672 -.04903 (284*2π)/8373 weeks
285-.02251 .00698 (285*2π)/8373 weeks
286-.01992 -.02123 (286*2π)/8373 weeks
287-.00743 -.00203 (287*2π)/8373 weeks
288.01203 .01471 (288*2π)/8373 weeks
289-.02243 -.04208 (289*2π)/8373 weeks
290-.00079 -.013 (290*2π)/8373 weeks
291-.03641 -.00771 (291*2π)/8373 weeks
292.00135 -.02368 (292*2π)/8373 weeks
293-.04743 -.00391 (293*2π)/8373 weeks
294-.02488 .00025 (294*2π)/8373 weeks
295-.0044 -.00615 (295*2π)/8373 weeks
296-.05651 -.00148 (296*2π)/8373 weeks
297.03127 .02801 (297*2π)/8373 weeks
298-.02537 -.01794 (298*2π)/8373 weeks
299-.01568 -.02219 (299*2π)/8373 weeks
300-.03516 -.00352 (300*2π)/8373 weeks
301-.01854 -.00638 (301*2π)/8373 weeks
302-.0355 -.00602 (302*2π)/8373 weeks
303-.01305 -.01257 (303*2π)/8373 weeks
304-.01337 -.02797 (304*2π)/8373 weeks
305-.03848 .00647 (305*2π)/8373 weeks
306.01044 -.0181 (306*2π)/8373 weeks
307-.01489 -.00059 (307*2π)/8373 weeks
308-.04372 .00831 (308*2π)/8373 weeks
309.00625 .00959 (309*2π)/8373 weeks
310-.0196 .00274 (310*2π)/8373 weeks
311-.04955 -.0032 (311*2π)/8373 weeks
312-.01443 .01727 (312*2π)/8373 weeks
313-.03583 -.02143 (313*2π)/8373 weeks
314-.0021 -.00211 (314*2π)/8373 weeks
315-.03864 -.03438 (315*2π)/8373 weeks
316-.00258 -.00941 (316*2π)/8373 weeks
317-.04513 -.01016 (317*2π)/8373 weeks
318.00783 -.02027 (318*2π)/8373 weeks
319-.03151 -.0082 (319*2π)/8373 weeks
320-.00136 -.01264 (320*2π)/8373 weeks
321-.02869 -.01736 (321*2π)/8373 weeks
322-.01477 -.01037 (322*2π)/8373 weeks
323-.04084 -.0146 (323*2π)/8373 weeks
324-.02451 -.02289 (324*2π)/8373 weeks
325-.03869 .00289 (325*2π)/8373 weeks
326.02074 -.02005 (326*2π)/8373 weeks
327-.03402 -.03823 (327*2π)/8373 weeks
328-.01084 -.01589 (328*2π)/8373 weeks
329-.00994 .00464 (329*2π)/8373 weeks
330-.01108 -.02431 (330*2π)/8373 weeks
331-.03807 .00181 (331*2π)/8373 weeks
332.00376 -.01523 (332*2π)/8373 weeks
333-.04042 -.00263 (333*2π)/8373 weeks
334-.00999 .00362 (334*2π)/8373 weeks
335-.02005 -.02078 (335*2π)/8372 weeks
336-.02517 -.0031 (336*2π)/8372 weeks
337-.00706 -.02576 (337*2π)/8372 weeks
338-.0214 -.01391 (338*2π)/8372 weeks
339-.01234 -.01891 (339*2π)/8372 weeks
340-.01081 -.02493 (340*2π)/8372 weeks
341-.01805 -.00807 (341*2π)/8372 weeks
342.00587 -.02039 (342*2π)/8372 weeks
343-.02792 -.00422 (343*2π)/8372 weeks
344-.00521 -.00152 (344*2π)/8372 weeks
345-.00249 -.01775 (345*2π)/8372 weeks
346-.0015 -.00458 (346*2π)/8372 weeks
347-.03304 .01816 (347*2π)/8372 weeks
348.03916 -.01182 (348*2π)/8372 weeks
349-.02114 -.02128 (349*2π)/8372 weeks
350-.01913 -.02018 (350*2π)/8372 weeks
351-.00154 .00997 (351*2π)/8372 weeks
352-.01581 -.01356 (352*2π)/8372 weeks
353-.0306 -.018 (353*2π)/8372 weeks
354-.00598 -.00452 (354*2π)/8372 weeks
355-.0266 .00061 (355*2π)/8372 weeks
356-.02148 .00877 (356*2π)/8372 weeks
357-.01584 .00301 (357*2π)/8372 weeks
358-.03799 -.01776 (358*2π)/8372 weeks
359-.03267 .00391 (359*2π)/8372 weeks
360-.04071 .00293 (360*2π)/8372 weeks
361-.03119 -.00147 (361*2π)/8372 weeks
362-.01996 -.00403 (362*2π)/8372 weeks
363-.03165 -.02703 (363*2π)/8372 weeks
364-.03646 .01926 (364*2π)/8372 weeks
365-.0151 .00065 (365*2π)/8372 weeks
366-.00991 -.00782 (366*2π)/8372 weeks
367-.03397 .0063 (367*2π)/8372 weeks
368-.01341 -.00632 (368*2π)/8372 weeks
369-.03072 -.00689 (369*2π)/8372 weeks
370-.02967 .00182 (370*2π)/8372 weeks
371-.01748 .00474 (371*2π)/8372 weeks
372-.01982 -.0039 (372*2π)/8372 weeks
373-.03304 .00373 (373*2π)/8372 weeks
374-.00542 -.00017 (374*2π)/8372 weeks
375-.03615 -.02107 (375*2π)/8372 weeks
376-.00958 .01851 (376*2π)/8372 weeks
377-.01509 -.02882 (377*2π)/8372 weeks
378-.00538 -.01083 (378*2π)/8372 weeks
379-.03965 -.00049 (379*2π)/8372 weeks
380.01534 -.01724 (380*2π)/8372 weeks
381-.03453 -.00442 (381*2π)/8372 weeks
382.00395 -.0037 (382*2π)/8372 weeks
383-.01761 .01182 (383*2π)/8372 weeks
384-.02106 -.02658 (384*2π)/8372 weeks
385-.01913 .01059 (385*2π)/8372 weeks
386-.034 -.01374 (386*2π)/8372 weeks
387-.01947 .00517 (387*2π)/8372 weeks
388-.01011 .00524 (388*2π)/8372 weeks
389.01233 -.0182 (389*2π)/8372 weeks
390-.03809 -.00561 (390*2π)/8372 weeks
391.01813 .00207 (391*2π)/8372 weeks
392-.05066 -.00241 (392*2π)/8372 weeks
393.01376 .01627 (393*2π)/8372 weeks
394-.0133 -.01805 (394*2π)/8372 weeks
395-.02904 -.00073 (395*2π)/8372 weeks
396-.02843 .01398 (396*2π)/8372 weeks
397-.00576 -.02754 (397*2π)/8372 weeks
398-.04941 .02384 (398*2π)/8372 weeks
399-.01864 -.02274 (399*2π)/8372 weeks
400-.04272 .04846 (400*2π)/8372 weeks
401-.01157 .00418 (401*2π)/8372 weeks
402-.00327 .00363 (402*2π)/8372 weeks
403-.02038 -.00345 (403*2π)/8372 weeks
404-.00704 .00913 (404*2π)/8372 weeks
405-.02026 -.00076 (405*2π)/8372 weeks
406.00677 -.01243 (406*2π)/8372 weeks
407-.06688 -.01644 (407*2π)/8372 weeks
408.0137 .00666 (408*2π)/8372 weeks
409-.0522 -.02681 (409*2π)/8372 weeks
410-.00286 .00824 (410*2π)/8372 weeks
411-.02574 -.00132 (411*2π)/8372 weeks
412-.00271 -.01131 (412*2π)/8372 weeks
413-.01056 -.01293 (413*2π)/8372 weeks
414-.01208 -.00664 (414*2π)/8372 weeks
415-.01589 -.00089 (415*2π)/8372 weeks
416-.00734 .00098 (416*2π)/8372 weeks
417-.00872 -.00329 (417*2π)/8372 weeks
418-.02683 -.01314 (418*2π)/8372 weeks
419-.02683 .01314 (419*2π)/8372 weeks
420-.00872 .00329 (420*2π)/8372 weeks
421-.00734 -.00098 (421*2π)/8372 weeks
422-.01589 .00089 (422*2π)/8372 weeks
423-.01208 .00664 (423*2π)/8372 weeks
424-.01056 .01293 (424*2π)/8372 weeks
425-.00271 .01131 (425*2π)/8372 weeks
426-.02574 .00132 (426*2π)/8372 weeks
427-.00286 -.00824 (427*2π)/8372 weeks
428-.0522 .02681 (428*2π)/8372 weeks
429.0137 -.00666 (429*2π)/8372 weeks
430-.06688 .01644 (430*2π)/8372 weeks
431.00677 .01243 (431*2π)/8372 weeks
432-.02026 .00076 (432*2π)/8372 weeks
433-.00704 -.00913 (433*2π)/8372 weeks
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831-.33902 1.16098 (831*2π)/8371 weeks
8322.41016 .41974 (832*2π)/8371 weeks
833-.44477 1.14148 (833*2π)/8371 weeks
834.75423 .18652 (834*2π)/8371 weeks
8351.19248 4.26894 (835*2π)/8371 weeks



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