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Fourier Analysis of ATI (Allegheny Technologies Incorpor)


ATI (Allegheny Technologies Incorpor) appears to have interesting cyclic behaviour every 52 weeks (1.983*cosine), 52 weeks (1.7016*sine), and 68 weeks (1.467*sine).

ATI (Allegheny Technologies Incorpor) has an average price of 30.22 (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 11/29/1999 to 11/28/2016 for ATI (Allegheny Technologies Incorpor), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
030.22249   0 
1-19.27496 -8.08713 (1*2π)/887887 weeks
26.75158 -8.3358 (2*2π)/887444 weeks
3-.45352 9.55322 (3*2π)/887296 weeks
4-4.74655 -8.96898 (4*2π)/887222 weeks
5-.17714 9.55226 (5*2π)/887177 weeks
6-.35868 -3.02928 (6*2π)/887148 weeks
72.71349 1.64905 (7*2π)/887127 weeks
8-.03252 -.80888 (8*2π)/887111 weeks
91.264 1.03383 (9*2π)/88799 weeks
10-.16598 -1.26709 (10*2π)/88789 weeks
11-.20437 .43649 (11*2π)/88781 weeks
12.47903 .16563 (12*2π)/88774 weeks
13-.10722 -1.46703 (13*2π)/88768 weeks
141.04038 .48487 (14*2π)/88763 weeks
15-.98527 -.46194 (15*2π)/88759 weeks
16.23968 -1.45259 (16*2π)/88755 weeks
17-1.98302 1.7016 (17*2π)/88752 weeks
18.93115 -.95878 (18*2π)/88749 weeks
19-.9237 -.04398 (19*2π)/88747 weeks
20-.12698 1.04074 (20*2π)/88744 weeks
211.02257 -.62551 (21*2π)/88742 weeks
22.61952 .39233 (22*2π)/88740 weeks
23-.36673 -.63969 (23*2π)/88739 weeks
24.73802 .02161 (24*2π)/88737 weeks
25-.52941 -.11908 (25*2π)/88735 weeks
26-.16565 -.35349 (26*2π)/88734 weeks
27.10432 .52901 (27*2π)/88733 weeks
28.31055 -.39236 (28*2π)/88732 weeks
29-.08924 -.56709 (29*2π)/88731 weeks
30.01551 .46207 (30*2π)/88730 weeks
31-.49567 .13137 (31*2π)/88729 weeks
32.55862 -.69803 (32*2π)/88728 weeks
33-.23403 .31441 (33*2π)/88727 weeks
34.54615 -.4487 (34*2π)/88726 weeks
35-.22696 .19115 (35*2π)/88725 weeks
36-.00412 -.41156 (36*2π)/88725 weeks
37.01309 .1043 (37*2π)/88724 weeks
38-.47646 -.186 (38*2π)/88723 weeks
39.11257 .0532 (39*2π)/88723 weeks
40-.26338 .36608 (40*2π)/88722 weeks
41.42526 -.10161 (41*2π)/88722 weeks
42-.46523 .24206 (42*2π)/88721 weeks
43.26477 .65903 (43*2π)/88721 weeks
44.15049 .13577 (44*2π)/88720 weeks
45.57628 .04881 (45*2π)/88720 weeks
46-.42188 -.02258 (46*2π)/88719 weeks
47.41493 .11941 (47*2π)/88719 weeks
48.01118 -.26634 (48*2π)/88718 weeks
49.02224 .31688 (49*2π)/88718 weeks
50-.02181 -.22025 (50*2π)/88718 weeks
51.14048 .30995 (51*2π)/88717 weeks
52.15443 -.09301 (52*2π)/88717 weeks
53-.15056 .15996 (53*2π)/88717 weeks
54.29235 -.22508 (54*2π)/88716 weeks
55-.28654 .16587 (55*2π)/88716 weeks
56.23527 .11876 (56*2π)/88716 weeks
57-.23088 .02555 (57*2π)/88716 weeks
58.04144 -.13572 (58*2π)/88715 weeks
59.02081 .01445 (59*2π)/88715 weeks
60-.15529 -.13698 (60*2π)/88715 weeks
61-.03253 .06433 (61*2π)/88715 weeks
62-.2494 -.141 (62*2π)/88714 weeks
63-.24667 .25253 (63*2π)/88714 weeks
64.22227 -.2234 (64*2π)/88714 weeks
65-.54105 .09838 (65*2π)/88714 weeks
66.23287 -.03677 (66*2π)/88713 weeks
67.00404 -.19521 (67*2π)/88713 weeks
68.01789 .02108 (68*2π)/88713 weeks
69.21322 .06802 (69*2π)/88713 weeks
70.22213 -.09217 (70*2π)/88713 weeks
71-.10402 -.30465 (71*2π)/88712 weeks
72.08181 .16222 (72*2π)/88712 weeks
73-.1885 .29323 (73*2π)/88712 weeks
74.11275 -.29156 (74*2π)/88712 weeks
75-.1641 .42375 (75*2π)/88712 weeks
76.37317 -.05555 (76*2π)/88712 weeks
77-.15126 -.03146 (77*2π)/88712 weeks
78.14832 -.32085 (78*2π)/88711 weeks
79-.22236 -.0266 (79*2π)/88711 weeks
80-.14531 -.02752 (80*2π)/88711 weeks
81.00888 .38954 (81*2π)/88711 weeks
82.05022 -.18072 (82*2π)/88711 weeks
83.11569 .276 (83*2π)/88711 weeks
84-.18547 .06524 (84*2π)/88711 weeks
85.33423 -.10834 (85*2π)/88710 weeks
86-.18073 .03724 (86*2π)/88710 weeks
87-.02475 -.21867 (87*2π)/88710 weeks
88.15103 .11354 (88*2π)/88710 weeks
89-.03314 -.23943 (89*2π)/88710 weeks
90-.12763 .37917 (90*2π)/88710 weeks
91.20941 -.20991 (91*2π)/88710 weeks
92-.13819 .03012 (92*2π)/88710 weeks
93.09406 .00246 (93*2π)/88710 weeks
94.06696 .04765 (94*2π)/8879 weeks
95-.23913 -.1802 (95*2π)/8879 weeks
96.06166 .11163 (96*2π)/8879 weeks
97.10072 -.13081 (97*2π)/8879 weeks
98-.01843 -.09065 (98*2π)/8879 weeks
99-.11775 -.14533 (99*2π)/8879 weeks
100.20568 .12744 (100*2π)/8879 weeks
101-.18442 -.24675 (101*2π)/8879 weeks
102-.04654 .126 (102*2π)/8879 weeks
103-.10285 .20119 (103*2π)/8879 weeks
104.21369 -.04701 (104*2π)/8879 weeks
105.09394 .015 (105*2π)/8878 weeks
106.07813 -.09589 (106*2π)/8878 weeks
107.23691 -.08661 (107*2π)/8878 weeks
108-.21203 -.3437 (108*2π)/8878 weeks
109.03295 -.00119 (109*2π)/8878 weeks
110-.08841 .16607 (110*2π)/8878 weeks
111.08941 -.24792 (111*2π)/8878 weeks
112.0224 .05095 (112*2π)/8878 weeks
113-.08152 -.01659 (113*2π)/8878 weeks
114.33887 -.21604 (114*2π)/8878 weeks
115-.18184 .20657 (115*2π)/8878 weeks
116.10556 -.29676 (116*2π)/8878 weeks
117.07188 .12725 (117*2π)/8878 weeks
118-.0406 -.25283 (118*2π)/8878 weeks
119-.06818 .30001 (119*2π)/8877 weeks
120.17352 -.19649 (120*2π)/8877 weeks
121-.09996 -.04768 (121*2π)/8877 weeks
122.01255 .0653 (122*2π)/8877 weeks
123.07771 -.04992 (123*2π)/8877 weeks
124-.17669 -.30122 (124*2π)/8877 weeks
125-.00947 .24069 (125*2π)/8877 weeks
126.0196 -.19049 (126*2π)/8877 weeks
127-.06605 .13437 (127*2π)/8877 weeks
128-.11073 .01498 (128*2π)/8877 weeks
129.09404 .0667 (129*2π)/8877 weeks
130-.03478 -.06664 (130*2π)/8877 weeks
131-.00682 .02727 (131*2π)/8877 weeks
132-.03884 .03181 (132*2π)/8877 weeks
133.24584 -.0027 (133*2π)/8877 weeks
134-.09365 -.16566 (134*2π)/8877 weeks
135-.06615 -.01681 (135*2π)/8877 weeks
136-.03565 .06137 (136*2π)/8877 weeks
137.10707 -.02646 (137*2π)/8876 weeks
138-.10273 .05192 (138*2π)/8876 weeks
139.25915 .1246 (139*2π)/8876 weeks
140-.14014 -.08637 (140*2π)/8876 weeks
141.17776 -.05024 (141*2π)/8876 weeks
142-.10153 .10253 (142*2π)/8876 weeks
143.131 -.3496 (143*2π)/8876 weeks
144-.25558 .13419 (144*2π)/8876 weeks
145.07286 -.18925 (145*2π)/8876 weeks
146-.03962 .10341 (146*2π)/8876 weeks
147-.03639 -.05061 (147*2π)/8876 weeks
148.09571 -.01281 (148*2π)/8876 weeks
149-.04265 .02715 (149*2π)/8876 weeks
150-.00473 -.0979 (150*2π)/8876 weeks
151-.00141 .0303 (151*2π)/8876 weeks
152-.03002 -.03585 (152*2π)/8876 weeks
153-.02808 -.12412 (153*2π)/8876 weeks
154-.10903 .11131 (154*2π)/8876 weeks
155.01221 -.0989 (155*2π)/8876 weeks
156-.06615 .14602 (156*2π)/8876 weeks
157.05814 .01497 (157*2π)/8876 weeks
158-.06132 .00232 (158*2π)/8876 weeks
159.13247 .11557 (159*2π)/8876 weeks
160-.08737 .01896 (160*2π)/8876 weeks
161.18755 -.00455 (161*2π)/8876 weeks
162-.12653 .0813 (162*2π)/8875 weeks
163.0683 -.11106 (163*2π)/8875 weeks
164.00436 .0454 (164*2π)/8875 weeks
165-.0513 -.09137 (165*2π)/8875 weeks
166.11554 .05368 (166*2π)/8875 weeks
167-.12256 .11762 (167*2π)/8875 weeks
168.11601 -.07104 (168*2π)/8875 weeks
169-.04894 .07465 (169*2π)/8875 weeks
170.1084 -.12278 (170*2π)/8875 weeks
171-.23627 -.06186 (171*2π)/8875 weeks
172.04072 .02474 (172*2π)/8875 weeks
173-.03067 .11203 (173*2π)/8875 weeks
174.08966 -.07068 (174*2π)/8875 weeks
175-.13457 .14329 (175*2π)/8875 weeks
176.16164 .06555 (176*2π)/8875 weeks
177.06013 -.05203 (177*2π)/8875 weeks
178-.14193 -.06499 (178*2π)/8875 weeks
179.04508 .00132 (179*2π)/8875 weeks
180-.15349 .08204 (180*2π)/8875 weeks
181.09576 -.03538 (181*2π)/8875 weeks
182-.08569 -.03929 (182*2π)/8875 weeks
183.04898 -.01264 (183*2π)/8875 weeks
184-.03145 .13917 (184*2π)/8875 weeks
185.0904 -.23195 (185*2π)/8875 weeks
186-.03026 .10778 (186*2π)/8875 weeks
187-.06762 -.12249 (187*2π)/8875 weeks
188-.0307 .08614 (188*2π)/8875 weeks
189.00739 -.05075 (189*2π)/8875 weeks
190.03258 .17856 (190*2π)/8875 weeks
191.01052 -.14805 (191*2π)/8875 weeks
192.10403 .16783 (192*2π)/8875 weeks
193-.0599 -.16557 (193*2π)/8875 weeks
194.03679 .03768 (194*2π)/8875 weeks
195-.08343 -.03906 (195*2π)/8875 weeks
196.00773 -.00539 (196*2π)/8875 weeks
197-.05488 .06655 (197*2π)/8875 weeks
198-.03035 -.07939 (198*2π)/8874 weeks
199-.0166 .14608 (199*2π)/8874 weeks
200.14264 .01818 (200*2π)/8874 weeks
201-.06442 -.07917 (201*2π)/8874 weeks
202.11677 -.0484 (202*2π)/8874 weeks
203-.08349 .11272 (203*2π)/8874 weeks
204.0643 -.06179 (204*2π)/8874 weeks
205.08982 -.00531 (205*2π)/8874 weeks
206-.01901 .03026 (206*2π)/8874 weeks
207.03121 -.10095 (207*2π)/8874 weeks
208-.05088 .1082 (208*2π)/8874 weeks
209.04447 -.06272 (209*2π)/8874 weeks
210-.0703 -.01983 (210*2π)/8874 weeks
211-.06698 .02356 (211*2π)/8874 weeks
212-.04872 .01259 (212*2π)/8874 weeks
213.08519 .02194 (213*2π)/8874 weeks
214-.13921 .05295 (214*2π)/8874 weeks
215.11011 -.08717 (215*2π)/8874 weeks
216-.1282 .13836 (216*2π)/8874 weeks
217.1226 -.02854 (217*2π)/8874 weeks
218.06602 .0282 (218*2π)/8874 weeks
219-.05673 -.08668 (219*2π)/8874 weeks
220.02686 .09895 (220*2π)/8874 weeks
221.03849 -.07826 (221*2π)/8874 weeks
222.00636 -.02037 (222*2π)/8874 weeks
223-.08298 .07076 (223*2π)/8874 weeks
224.11903 -.07445 (224*2π)/8874 weeks
225-.10854 .10184 (225*2π)/8874 weeks
226.00899 -.00119 (226*2π)/8874 weeks
227-.04272 .09169 (227*2π)/8874 weeks
228-.01324 -.01833 (228*2π)/8874 weeks
229.0258 .1154 (229*2π)/8874 weeks
230-.06552 -.05712 (230*2π)/8874 weeks
231.163 .03184 (231*2π)/8874 weeks
232-.2034 -.01046 (232*2π)/8874 weeks
233.12224 .04562 (233*2π)/8874 weeks
234.03049 .03006 (234*2π)/8874 weeks
235-.08582 -.10999 (235*2π)/8874 weeks
236.08197 .13914 (236*2π)/8874 weeks
237-.01149 -.04021 (237*2π)/8874 weeks
238.03131 -.09981 (238*2π)/8874 weeks
239-.00521 .15703 (239*2π)/8874 weeks
240.02936 -.11427 (240*2π)/8874 weeks
241.0736 .05413 (241*2π)/8874 weeks
242-.07436 -.04758 (242*2π)/8874 weeks
243.04549 -.04205 (243*2π)/8874 weeks
244.00246 .0726 (244*2π)/8874 weeks
245-.06688 -.06686 (245*2π)/8874 weeks
246.03886 .00924 (246*2π)/8874 weeks
247-.0185 .0939 (247*2π)/8874 weeks
248.0017 -.0821 (248*2π)/8874 weeks
249.06861 .0369 (249*2π)/8874 weeks
250.01637 -.01338 (250*2π)/8874 weeks
251.02205 -.02481 (251*2π)/8874 weeks
252.0134 -.05406 (252*2π)/8874 weeks
253.07252 .03365 (253*2π)/8874 weeks
254-.01957 -.05418 (254*2π)/8873 weeks
255.01828 -.03542 (255*2π)/8873 weeks
256-.07514 .08399 (256*2π)/8873 weeks
257.11669 -.10655 (257*2π)/8873 weeks
258-.11958 .13875 (258*2π)/8873 weeks
259.04569 -.05544 (259*2π)/8873 weeks
260.01882 .03893 (260*2π)/8873 weeks
261-.02561 .02281 (261*2π)/8873 weeks
262.06285 .01939 (262*2π)/8873 weeks
263.01865 -.03918 (263*2π)/8873 weeks
264-.00388 .06244 (264*2π)/8873 weeks
265.05749 -.07068 (265*2π)/8873 weeks
266-.08601 -.02233 (266*2π)/8873 weeks
267.01298 -.00148 (267*2π)/8873 weeks
268-.01888 -.00234 (268*2π)/8873 weeks
269.07831 -.03647 (269*2π)/8873 weeks
270-.0461 .03152 (270*2π)/8873 weeks
271.13885 -.07851 (271*2π)/8873 weeks
272-.0977 -.01293 (272*2π)/8873 weeks
273.01848 .00914 (273*2π)/8873 weeks
274-.08048 -.00995 (274*2π)/8873 weeks
275.02673 .01293 (275*2π)/8873 weeks
276-.06063 -.00309 (276*2π)/8873 weeks
277.02134 .02841 (277*2π)/8873 weeks
278.02255 -.07437 (278*2π)/8873 weeks
279-.01774 -.04663 (279*2π)/8873 weeks
280.01397 .04022 (280*2π)/8873 weeks
281-.04237 -.04625 (281*2π)/8873 weeks
282.0628 .00675 (282*2π)/8873 weeks
283-.08617 .00979 (283*2π)/8873 weeks
284.07557 -.03891 (284*2π)/8873 weeks
285-.07642 .07196 (285*2π)/8873 weeks
286.00167 -.14729 (286*2π)/8873 weeks
287-.03954 .15695 (287*2π)/8873 weeks
288-.00768 -.1292 (288*2π)/8873 weeks
289-.02171 .11791 (289*2π)/8873 weeks
290.06645 -.09993 (290*2π)/8873 weeks
291-.02663 .06701 (291*2π)/8873 weeks
292.05622 -.03049 (292*2π)/8873 weeks
293-.00463 -.05304 (293*2π)/8873 weeks
294.017 -.00764 (294*2π)/8873 weeks
295-.02082 -.02364 (295*2π)/8873 weeks
296.04831 -.14106 (296*2π)/8873 weeks
297-.10717 -.01442 (297*2π)/8873 weeks
298-.05191 .08601 (298*2π)/8873 weeks
299.00353 -.05112 (299*2π)/8873 weeks
300.05612 -.02233 (300*2π)/8873 weeks
301-.21603 .02263 (301*2π)/8873 weeks
302.19476 -.02903 (302*2π)/8873 weeks
303-.15001 .11131 (303*2π)/8873 weeks
304.04493 -.13145 (304*2π)/8873 weeks
305.04372 .15817 (305*2π)/8873 weeks
306-.06545 -.13958 (306*2π)/8873 weeks
307.03559 .04325 (307*2π)/8873 weeks
308-.04714 -.07859 (308*2π)/8873 weeks
309-.03825 .03814 (309*2π)/8873 weeks
310-.03866 -.0865 (310*2π)/8873 weeks
311-.05608 .09028 (311*2π)/8873 weeks
312.01218 .06098 (312*2π)/8873 weeks
313.08099 -.06645 (313*2π)/8873 weeks
314-.1494 .04911 (314*2π)/8873 weeks
315.07166 .03575 (315*2π)/8873 weeks
316.01855 -.01747 (316*2π)/8873 weeks
317-.05044 .02382 (317*2π)/8873 weeks
318-.0352 -.04793 (318*2π)/8873 weeks
319.03641 .12505 (319*2π)/8873 weeks
320-.06469 -.06479 (320*2π)/8873 weeks
321.02871 .0618 (321*2π)/8873 weeks
322-.00153 .06294 (322*2π)/8873 weeks
323.03198 -.19758 (323*2π)/8873 weeks
324-.09608 .15708 (324*2π)/8873 weeks
325.04203 -.0866 (325*2π)/8873 weeks
326.087 -.03216 (326*2π)/8873 weeks
327-.11499 .00786 (327*2π)/8873 weeks
328.07682 .01563 (328*2π)/8873 weeks
329.00963 -.00277 (329*2π)/8873 weeks
330-.09507 -.07136 (330*2π)/8873 weeks
331.0463 .0642 (331*2π)/8873 weeks
332-.07617 -.0317 (332*2π)/8873 weeks
333.05291 .05172 (333*2π)/8873 weeks
334.01683 .00229 (334*2π)/8873 weeks
335-.01673 -.01704 (335*2π)/8873 weeks
336.04658 .04843 (336*2π)/8873 weeks
337-.02982 -.02215 (337*2π)/8873 weeks
338.01101 -.00894 (338*2π)/8873 weeks
339.01907 .02127 (339*2π)/8873 weeks
340-.0596 .05603 (340*2π)/8873 weeks
341.0649 -.02503 (341*2π)/8873 weeks
342-.03776 .01268 (342*2π)/8873 weeks
343.00008 .01133 (343*2π)/8873 weeks
344-.05204 .04498 (344*2π)/8873 weeks
345.10004 -.03649 (345*2π)/8873 weeks
346-.08428 .02827 (346*2π)/8873 weeks
347.05273 -.03365 (347*2π)/8873 weeks
348-.02733 .05497 (348*2π)/8873 weeks
349.07526 -.03397 (349*2π)/8873 weeks
350-.02645 -.00639 (350*2π)/8873 weeks
351-.09754 .08701 (351*2π)/8873 weeks
352.10484 -.02134 (352*2π)/8873 weeks
353-.07476 .1087 (353*2π)/8873 weeks
354.00501 -.05202 (354*2π)/8873 weeks
355.00742 -.02138 (355*2π)/8872 weeks
356-.04082 .11957 (356*2π)/8872 weeks
357.05353 -.12218 (357*2π)/8872 weeks
358-.038 .06343 (358*2π)/8872 weeks
359-.01759 -.06487 (359*2π)/8872 weeks
360-.0019 .01242 (360*2π)/8872 weeks
361-.08359 .01074 (361*2π)/8872 weeks
362.05033 .04052 (362*2π)/8872 weeks
363-.0146 -.02409 (363*2π)/8872 weeks
364.04398 .05121 (364*2π)/8872 weeks
365-.05224 -.06947 (365*2π)/8872 weeks
366.03701 .0424 (366*2π)/8872 weeks
367-.01923 .02559 (367*2π)/8872 weeks
368-.06298 -.01735 (368*2π)/8872 weeks
369.06055 .08416 (369*2π)/8872 weeks
370-.0253 .03338 (370*2π)/8872 weeks
371.0394 -.02194 (371*2π)/8872 weeks
372-.03906 .12805 (372*2π)/8872 weeks
373.05461 -.09315 (373*2π)/8872 weeks
374.04732 .09767 (374*2π)/8872 weeks
375-.02156 -.0454 (375*2π)/8872 weeks
376.07406 .01788 (376*2π)/8872 weeks
377.02377 -.00724 (377*2π)/8872 weeks
378.01642 .04257 (378*2π)/8872 weeks
379-.02945 -.00076 (379*2π)/8872 weeks
380.03781 .04563 (380*2π)/8872 weeks
381-.01067 -.00204 (381*2π)/8872 weeks
382.03796 -.00109 (382*2π)/8872 weeks
383-.02993 -.03215 (383*2π)/8872 weeks
384-.0187 -.02098 (384*2π)/8872 weeks
385-.02831 .0909 (385*2π)/8872 weeks
386.05467 -.03096 (386*2π)/8872 weeks
387.08496 -.01341 (387*2π)/8872 weeks
388-.08892 -.00829 (388*2π)/8872 weeks
389.06683 .02795 (389*2π)/8872 weeks
390.04577 -.03594 (390*2π)/8872 weeks
391-.07192 -.06555 (391*2π)/8872 weeks
392-.03321 .07166 (392*2π)/8872 weeks
393.08878 -.05442 (393*2π)/8872 weeks
394-.04445 -.02319 (394*2π)/8872 weeks
395-.01719 .01921 (395*2π)/8872 weeks
396.02075 .00722 (396*2π)/8872 weeks
397.06898 -.00665 (397*2π)/8872 weeks
398-.00529 -.00662 (398*2π)/8872 weeks
399.08547 -.04249 (399*2π)/8872 weeks
400-.01375 -.03287 (400*2π)/8872 weeks
401-.0336 -.07201 (401*2π)/8872 weeks
402-.05071 .08642 (402*2π)/8872 weeks
403.06761 -.08618 (403*2π)/8872 weeks
404-.1603 .039 (404*2π)/8872 weeks
405.10606 .03657 (405*2π)/8872 weeks
406.02614 -.02191 (406*2π)/8872 weeks
407.00009 -.00029 (407*2π)/8872 weeks
408.01214 .01667 (408*2π)/8872 weeks
409.00058 -.02714 (409*2π)/8872 weeks
410-.01131 .01963 (410*2π)/8872 weeks
411.02027 .02225 (411*2π)/8872 weeks
412-.01379 .03456 (412*2π)/8872 weeks
413.11155 -.04129 (413*2π)/8872 weeks
414-.12874 -.01983 (414*2π)/8872 weeks
415.15085 .01364 (415*2π)/8872 weeks
416-.0699 .00525 (416*2π)/8872 weeks
417-.01955 -.02309 (417*2π)/8872 weeks
418.06375 .07828 (418*2π)/8872 weeks
419.01283 -.05107 (419*2π)/8872 weeks
420-.03712 .05303 (420*2π)/8872 weeks
421.05504 -.00888 (421*2π)/8872 weeks
422-.00799 -.03228 (422*2π)/8872 weeks
423.03063 .12321 (423*2π)/8872 weeks
424.05731 -.14802 (424*2π)/8872 weeks
425.03881 -.00956 (425*2π)/8872 weeks
426-.065 .03988 (426*2π)/8872 weeks
427.04964 -.06158 (427*2π)/8872 weeks
428.02411 .05318 (428*2π)/8872 weeks
429-.03108 -.05164 (429*2π)/8872 weeks
430.02542 -.02743 (430*2π)/8872 weeks
431-.08761 .01356 (431*2π)/8872 weeks
432.11526 -.04022 (432*2π)/8872 weeks
433-.13015 -.05417 (433*2π)/8872 weeks
434.04402 .08115 (434*2π)/8872 weeks
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