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Fourier Analysis of GTI (GrafTech International Ltd)

GTI (GrafTech International Ltd) appears to have interesting cyclic behaviour every 63 weeks (1.1541*cosine), 48 weeks (1.0114*sine), and 82 weeks (1.0004*sine).

GTI (GrafTech International Ltd) has an average price of 10.93 (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.

Fourier Analysis

Using data from 1/3/2000 to 8/24/2015 for GTI (GrafTech International Ltd), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
010.93031   0
1-1.43564 -2.75193 (1*2π)/817817 weeks
2-.14454 2.59451 (2*2π)/817409 weeks
3.06801 .86025 (3*2π)/817272 weeks
42.13665 .73563 (4*2π)/817204 weeks
5-2.82066 .16202 (5*2π)/817163 weeks
6.42341 .73479 (6*2π)/817136 weeks
7.36962 .02841 (7*2π)/817117 weeks
81.18593 1.62466 (8*2π)/817102 weeks
9-.4755 .58526 (9*2π)/81791 weeks
10.17716 1.00035 (10*2π)/81782 weeks
11.97193 -.276 (11*2π)/81774 weeks
12-.11316 -.13508 (12*2π)/81768 weeks
131.15408 .84815 (13*2π)/81763 weeks
14-.31656 -.05019 (14*2π)/81758 weeks
15.21107 .71311 (15*2π)/81754 weeks
16-.25157 -.09342 (16*2π)/81751 weeks
17-.1298 1.0114 (17*2π)/81748 weeks
18-.00825 -.77406 (18*2π)/81745 weeks
19-.02109 .08379 (19*2π)/81743 weeks
20.17521 -.14512 (20*2π)/81741 weeks
21.01905 .49021 (21*2π)/81739 weeks
22.48799 -.12141 (22*2π)/81737 weeks
23-.10747 .36833 (23*2π)/81736 weeks
24.31851 .29075 (24*2π)/81734 weeks
25-.21523 .1839 (25*2π)/81733 weeks
26.49037 .34093 (26*2π)/81731 weeks
27.29149 -.12443 (27*2π)/81730 weeks
28.14517 .4687 (28*2π)/81729 weeks
29.0542 -.02472 (29*2π)/81728 weeks
30.36243 .32877 (30*2π)/81727 weeks
31.11026 -.06922 (31*2π)/81726 weeks
32-.17104 .48616 (32*2π)/81726 weeks
33.1399 .17328 (33*2π)/81725 weeks
34.02135 .34914 (34*2π)/81724 weeks
35-.14993 .30334 (35*2π)/81723 weeks
36.11585 -.03931 (36*2π)/81723 weeks
37.07532 .20323 (37*2π)/81722 weeks
38-.00492 .25059 (38*2π)/81722 weeks
39-.11987 -.01727 (39*2π)/81721 weeks
40.13743 .27686 (40*2π)/81720 weeks
41.06482 .2188 (41*2π)/81720 weeks
42.12825 .23728 (42*2π)/81719 weeks
43-.06134 .24557 (43*2π)/81719 weeks
44.028 .17969 (44*2π)/81719 weeks
45.13963 .06732 (45*2π)/81718 weeks
46-.06424 .05574 (46*2π)/81718 weeks
47.31032 .24229 (47*2π)/81717 weeks
48.00773 .06929 (48*2π)/81717 weeks
49.11826 .33498 (49*2π)/81717 weeks
50-.11835 -.10596 (50*2π)/81716 weeks
51-.22302 .26516 (51*2π)/81716 weeks
52.18566 .05983 (52*2π)/81716 weeks
53-.07045 .16107 (53*2π)/81715 weeks
54-.05509 .01842 (54*2π)/81715 weeks
55.05098 .0834 (55*2π)/81715 weeks
56.14731 .15486 (56*2π)/81715 weeks
57.14834 .10042 (57*2π)/81714 weeks
58-.03852 .10892 (58*2π)/81714 weeks
59-.04083 .17547 (59*2π)/81714 weeks
60.0033 .41351 (60*2π)/81714 weeks
61.03288 .12801 (61*2π)/81713 weeks
62-.07418 -.10581 (62*2π)/81713 weeks
63.06487 -.05148 (63*2π)/81713 weeks
64-.0189 .25793 (64*2π)/81713 weeks
65.11503 .13092 (65*2π)/81713 weeks
66.0563 -.06541 (66*2π)/81712 weeks
67.04968 .15662 (67*2π)/81712 weeks
68-.0791 .12233 (68*2π)/81712 weeks
69.13809 -.00839 (69*2π)/81712 weeks
70.08904 .11415 (70*2π)/81712 weeks
71-.03568 .36766 (71*2π)/81712 weeks
72-.09566 .06378 (72*2π)/81711 weeks
73-.06205 .06945 (73*2π)/81711 weeks
74-.11204 .09006 (74*2π)/81711 weeks
75-.00423 .14947 (75*2π)/81711 weeks
76-.00637 .09452 (76*2π)/81711 weeks
77.05211 .05369 (77*2π)/81711 weeks
78-.05574 .15315 (78*2π)/81710 weeks
79.0656 .07083 (79*2π)/81710 weeks
80-.07239 -.03464 (80*2π)/81710 weeks
81-.02959 .00767 (81*2π)/81710 weeks
82-.07193 .08323 (82*2π)/81710 weeks
83.16405 .08359 (83*2π)/81710 weeks
84-.14654 -.1151 (84*2π)/81710 weeks
85.03387 .14101 (85*2π)/81710 weeks
86.04051 .09012 (86*2π)/81710 weeks
87.0121 .11768 (87*2π)/8179 weeks
88.05499 .01864 (88*2π)/8179 weeks
89-.01003 .14615 (89*2π)/8179 weeks
90.01852 .15911 (90*2π)/8179 weeks
91.02157 .0686 (91*2π)/8179 weeks
92-.02397 .02311 (92*2π)/8179 weeks
93.08608 .09889 (93*2π)/8179 weeks
94.03404 .13598 (94*2π)/8179 weeks
95.03047 .15163 (95*2π)/8179 weeks
96.02441 .09574 (96*2π)/8179 weeks
97-.03882 .09987 (97*2π)/8178 weeks
98.03434 .01845 (98*2π)/8178 weeks
99-.03891 .00194 (99*2π)/8178 weeks
100-.10002 .04472 (100*2π)/8178 weeks
101-.0723 .14283 (101*2π)/8178 weeks
102-.06719 .04026 (102*2π)/8178 weeks
103-.02844 .09424 (103*2π)/8178 weeks
104-.08324 .00722 (104*2π)/8178 weeks
105-.06439 .15845 (105*2π)/8178 weeks
106.11838 -.13072 (106*2π)/8178 weeks
107-.08193 .16073 (107*2π)/8178 weeks
108-.04805 .04522 (108*2π)/8178 weeks
109-.08005 .12069 (109*2π)/8177 weeks
110.10041 .0371 (110*2π)/8177 weeks
111-.08465 .00455 (111*2π)/8177 weeks
112-.07239 .05231 (112*2π)/8177 weeks
113.04725 .04614 (113*2π)/8177 weeks
114.06365 .0079 (114*2π)/8177 weeks
115-.08175 -.02358 (115*2π)/8177 weeks
116-.08956 .07967 (116*2π)/8177 weeks
117.01694 .00429 (117*2π)/8177 weeks
118-.06431 -.06409 (118*2π)/8177 weeks
119.00067 -.01241 (119*2π)/8177 weeks
120-.08059 .02049 (120*2π)/8177 weeks
121.1028 .05339 (121*2π)/8177 weeks
122.04277 .0502 (122*2π)/8177 weeks
123-.03479 .03326 (123*2π)/8177 weeks
124-.00545 -.03869 (124*2π)/8177 weeks
125-.00712 .10989 (125*2π)/8177 weeks
126.02715 .06619 (126*2π)/8176 weeks
127-.05606 .0016 (127*2π)/8176 weeks
128.01655 .05037 (128*2π)/8176 weeks
129-.01951 .01113 (129*2π)/8176 weeks
130-.02228 .0358 (130*2π)/8176 weeks
131-.01337 -.03446 (131*2π)/8176 weeks
132-.00647 .02109 (132*2π)/8176 weeks
133-.01021 .03677 (133*2π)/8176 weeks
134-.04121 .00006 (134*2π)/8176 weeks
135-.06951 .01791 (135*2π)/8176 weeks
136-.02138 .04217 (136*2π)/8176 weeks
137-.00406 -.0026 (137*2π)/8176 weeks
138-.03539 -.04066 (138*2π)/8176 weeks
139.00335 -.05941 (139*2π)/8176 weeks
140.01845 .03423 (140*2π)/8176 weeks
141.07259 .01316 (141*2π)/8176 weeks
142.0359 -.08178 (142*2π)/8176 weeks
143.01518 .01577 (143*2π)/8176 weeks
144.03815 .01039 (144*2π)/8176 weeks
145-.00988 -.01055 (145*2π)/8176 weeks
146.02038 .01551 (146*2π)/8176 weeks
147.05707 .0199 (147*2π)/8176 weeks
148.05947 .02376 (148*2π)/8176 weeks
149-.03871 -.04046 (149*2π)/8175 weeks
150.04097 -.02059 (150*2π)/8175 weeks
151.05058 -.01024 (151*2π)/8175 weeks
152.00576 .08093 (152*2π)/8175 weeks
153.01637 .01623 (153*2π)/8175 weeks
154.03707 -.01177 (154*2π)/8175 weeks
155.02967 .00934 (155*2π)/8175 weeks
156-.00165 -.01087 (156*2π)/8175 weeks
157-.00741 .02442 (157*2π)/8175 weeks
158.1091 .06946 (158*2π)/8175 weeks
159.01445 .01776 (159*2π)/8175 weeks
160.02161 .00914 (160*2π)/8175 weeks
161.01815 .01814 (161*2π)/8175 weeks
162.06296 .09121 (162*2π)/8175 weeks
163.05019 -.02789 (163*2π)/8175 weeks
164-.00128 .0391 (164*2π)/8175 weeks
165.0712 .03828 (165*2π)/8175 weeks
166-.02044 -.02893 (166*2π)/8175 weeks
167.00414 .07552 (167*2π)/8175 weeks
168-.01397 -.00054 (168*2π)/8175 weeks
169.01078 .05252 (169*2π)/8175 weeks
170-.00788 -.02659 (170*2π)/8175 weeks
171.01217 .09087 (171*2π)/8175 weeks
172.0597 -.01879 (172*2π)/8175 weeks
173-.00154 .01524 (173*2π)/8175 weeks
174.01407 .03288 (174*2π)/8175 weeks
175-.02642 -.00712 (175*2π)/8175 weeks
176.10795 .01367 (176*2π)/8175 weeks
177-.03556 .01431 (177*2π)/8175 weeks
178.0199 .06024 (178*2π)/8175 weeks
179.0596 .00218 (179*2π)/8175 weeks
180.00163 .05781 (180*2π)/8175 weeks
181.04985 .01414 (181*2π)/8175 weeks
182-.03549 .01326 (182*2π)/8174 weeks
183.05686 .04142 (183*2π)/8174 weeks
184-.01369 -.02058 (184*2π)/8174 weeks
185.0544 .03056 (185*2π)/8174 weeks
186.01441 -.02566 (186*2π)/8174 weeks
187-.04059 .06818 (187*2π)/8174 weeks
188.0646 .01432 (188*2π)/8174 weeks
189.03473 .05334 (189*2π)/8174 weeks
190-.01992 .02721 (190*2π)/8174 weeks
191.00808 .08449 (191*2π)/8174 weeks
192.02626 .00683 (192*2π)/8174 weeks
193-.01774 .05197 (193*2π)/8174 weeks
194.05251 .00074 (194*2π)/8174 weeks
195-.06665 .01709 (195*2π)/8174 weeks
196.04091 .06467 (196*2π)/8174 weeks
197-.0511 .02548 (197*2π)/8174 weeks
198.0477 -.00684 (198*2π)/8174 weeks
199.00038 -.02574 (199*2π)/8174 weeks
200-.01014 .02226 (200*2π)/8174 weeks
201.02062 .0372 (201*2π)/8174 weeks
202.00548 .00664 (202*2π)/8174 weeks
203-.02491 -.05577 (203*2π)/8174 weeks
204-.03696 .02503 (204*2π)/8174 weeks
205.07789 .01823 (205*2π)/8174 weeks
206.03027 -.05026 (206*2π)/8174 weeks
207-.01897 .05104 (207*2π)/8174 weeks
208.0113 .01071 (208*2π)/8174 weeks
209.02573 .01923 (209*2π)/8174 weeks
210.0207 .0313 (210*2π)/8174 weeks
211.00248 -.05383 (211*2π)/8174 weeks
212.01557 .04158 (212*2π)/8174 weeks
213.04821 .02073 (213*2π)/8174 weeks
214-.02772 -.03884 (214*2π)/8174 weeks
215.01251 .00504 (215*2π)/8174 weeks
216.05519 .02854 (216*2π)/8174 weeks
217.06598 -.02236 (217*2π)/8174 weeks
218-.00919 -.00278 (218*2π)/8174 weeks
219-.01991 .02845 (219*2π)/8174 weeks
220.02097 .07204 (220*2π)/8174 weeks
221.03809 -.00133 (221*2π)/8174 weeks
222.0005 .03974 (222*2π)/8174 weeks
223.03131 .00361 (223*2π)/8174 weeks
224.02801 .0128 (224*2π)/8174 weeks
225.04373 .03407 (225*2π)/8174 weeks
226-.01042 .02727 (226*2π)/8174 weeks
227.02493 .03109 (227*2π)/8174 weeks
228.01382 .01694 (228*2π)/8174 weeks
229.02468 -.00568 (229*2π)/8174 weeks
230.00624 .04217 (230*2π)/8174 weeks
231.02387 .02542 (231*2π)/8174 weeks
232.00585 .01197 (232*2π)/8174 weeks
233.01111 .02544 (233*2π)/8174 weeks
234.00405 .00951 (234*2π)/8173 weeks
235-.02708 .00609 (235*2π)/8173 weeks
236-.05195 .04323 (236*2π)/8173 weeks
237.0394 -.02254 (237*2π)/8173 weeks
238-.0119 .01804 (238*2π)/8173 weeks
239-.027 .00813 (239*2π)/8173 weeks
240.03351 .01689 (240*2π)/8173 weeks
241.05171 -.02876 (241*2π)/8173 weeks
242.02905 -.01116 (242*2π)/8173 weeks
243.00247 .02383 (243*2π)/8173 weeks
244-.00415 -.04223 (244*2π)/8173 weeks
245.00671 -.00023 (245*2π)/8173 weeks
246.01238 .03102 (246*2π)/8173 weeks
247-.00338 .04058 (247*2π)/8173 weeks
248.04275 -.02633 (248*2π)/8173 weeks
249-.022 .0112 (249*2π)/8173 weeks
250.02699 .00043 (250*2π)/8173 weeks
251.00346 .01001 (251*2π)/8173 weeks
252.04678 -.02709 (252*2π)/8173 weeks
253.00987 -.01143 (253*2π)/8173 weeks
254.00722 .01147 (254*2π)/8173 weeks
255.03726 .02232 (255*2π)/8173 weeks
256-.00004 -.00892 (256*2π)/8173 weeks
257.02371 .02756 (257*2π)/8173 weeks
258.01089 .00854 (258*2π)/8173 weeks
259.01412 .04896 (259*2π)/8173 weeks
260.00699 -.04731 (260*2π)/8173 weeks
261.00234 .02439 (261*2π)/8173 weeks
262-.01412 -.02633 (262*2π)/8173 weeks
263.03273 .02487 (263*2π)/8173 weeks
264.01839 -.03817 (264*2π)/8173 weeks
265.00584 .05795 (265*2π)/8173 weeks
266-.01737 .00376 (266*2π)/8173 weeks
267-.01866 -.01482 (267*2π)/8173 weeks
268.03461 -.03717 (268*2π)/8173 weeks
269-.00007 .02676 (269*2π)/8173 weeks
270.0226 -.01551 (270*2π)/8173 weeks
271.036 -.00004 (271*2π)/8173 weeks
272-.00516 .03703 (272*2π)/8173 weeks
273.03837 -.01645 (273*2π)/8173 weeks
274-.00323 -.02393 (274*2π)/8173 weeks
275.01879 .01948 (275*2π)/8173 weeks
276.00798 -.00759 (276*2π)/8173 weeks
277.04429 -.03198 (277*2π)/8173 weeks
278.03523 -.01042 (278*2π)/8173 weeks
279.04678 .01281 (279*2π)/8173 weeks
280-.01604 .01002 (280*2π)/8173 weeks
281.05823 -.00809 (281*2π)/8173 weeks
282.00963 .03029 (282*2π)/8173 weeks
283.01627 -.02454 (283*2π)/8173 weeks
284-.00531 -.01518 (284*2π)/8173 weeks
285.07297 -.00941 (285*2π)/8173 weeks
286-.01092 -.00918 (286*2π)/8173 weeks
287.04736 -.00225 (287*2π)/8173 weeks
288.00929 .04437 (288*2π)/8173 weeks
289.09202 .01396 (289*2π)/8173 weeks
290-.00908 -.03268 (290*2π)/8173 weeks
291.04253 .03951 (291*2π)/8173 weeks
292.00747 .02079 (292*2π)/8173 weeks
293.02108 -.01984 (293*2π)/8173 weeks
294.02058 -.0394 (294*2π)/8173 weeks
295-.01577 .00506 (295*2π)/8173 weeks
296.04936 -.0052 (296*2π)/8173 weeks
297.07579 -.04638 (297*2π)/8173 weeks
298-.00889 .00117 (298*2π)/8173 weeks
299.00748 .05447 (299*2π)/8173 weeks
300.01387 .03499 (300*2π)/8173 weeks
301.03657 -.04504 (301*2π)/8173 weeks
302.01425 .01445 (302*2π)/8173 weeks
303.02881 -.00036 (303*2π)/8173 weeks
304.03233 .05913 (304*2π)/8173 weeks
305.04122 -.03502 (305*2π)/8173 weeks
306-.01251 .02838 (306*2π)/8173 weeks
307.07293 .0345 (307*2π)/8173 weeks
308.01955 -.00574 (308*2π)/8173 weeks
309.06334 .03696 (309*2π)/8173 weeks
310.04745 -.00452 (310*2π)/8173 weeks
311.00067 .03727 (311*2π)/8173 weeks
312.02459 .02428 (312*2π)/8173 weeks
313.02375 .03026 (313*2π)/8173 weeks
314.00756 -.02277 (314*2π)/8173 weeks
315-.03368 .04966 (315*2π)/8173 weeks
316.00396 -.02949 (316*2π)/8173 weeks
317.04871 -.01628 (317*2π)/8173 weeks
318.03939 .01642 (318*2π)/8173 weeks
319.02349 .03557 (319*2π)/8173 weeks
320.00797 .01068 (320*2π)/8173 weeks
321.04368 .04644 (321*2π)/8173 weeks
322.02371 -.00756 (322*2π)/8173 weeks
323-.01687 .04942 (323*2π)/8173 weeks
324.03236 .02998 (324*2π)/8173 weeks
325.01061 -.00455 (325*2π)/8173 weeks
326.00208 .03031 (326*2π)/8173 weeks
327.02534 .02827 (327*2π)/8172 weeks
328-.02522 .00155 (328*2π)/8172 weeks
329-.02189 .00179 (329*2π)/8172 weeks
330-.01233 .01595 (330*2π)/8172 weeks
331.01932 .01576 (331*2π)/8172 weeks
332-.02963 -.06762 (332*2π)/8172 weeks
333-.01634 .03542 (333*2π)/8172 weeks
334.02375 .00247 (334*2π)/8172 weeks
335.01219 -.03833 (335*2π)/8172 weeks
336.03629 -.04198 (336*2π)/8172 weeks
337.01303 .03072 (337*2π)/8172 weeks
338.00501 .01565 (338*2π)/8172 weeks
339.0241 .00666 (339*2π)/8172 weeks
340-.00366 -.01789 (340*2π)/8172 weeks
341-.02091 .0267 (341*2π)/8172 weeks
342.02527 -.01803 (342*2π)/8172 weeks
343.04068 -.04601 (343*2π)/8172 weeks
344.01847 -.01541 (344*2π)/8172 weeks
345.00349 .00229 (345*2π)/8172 weeks
346.0244 .01051 (346*2π)/8172 weeks
347-.00266 -.00954 (347*2π)/8172 weeks
348-.00254 -.00533 (348*2π)/8172 weeks
349-.00068 -.02463 (349*2π)/8172 weeks
350.00581 .01617 (350*2π)/8172 weeks
351.0133 -.00877 (351*2π)/8172 weeks
352.01188 .02493 (352*2π)/8172 weeks
353.00083 -.02325 (353*2π)/8172 weeks
354.02902 .0348 (354*2π)/8172 weeks
355.02961 -.05321 (355*2π)/8172 weeks
356-.01142 -.00627 (356*2π)/8172 weeks
357.03077 -.0039 (357*2π)/8172 weeks
358.02367 .01362 (358*2π)/8172 weeks
359.01237 -.01271 (359*2π)/8172 weeks
360.03667 -.00771 (360*2π)/8172 weeks
361-.01187 -.01635 (361*2π)/8172 weeks
362.00736 .01259 (362*2π)/8172 weeks
363.02026 -.04623 (363*2π)/8172 weeks
364.04419 -.0064 (364*2π)/8172 weeks
365-.01781 -.02282 (365*2π)/8172 weeks
366.03734 .0073 (366*2π)/8172 weeks
367.01243 -.06844 (367*2π)/8172 weeks
368-.00611 .01463 (368*2π)/8172 weeks
369.03135 -.0321 (369*2π)/8172 weeks
370-.00479 .01053 (370*2π)/8172 weeks
371.02899 -.01483 (371*2π)/8172 weeks
372.0048 -.01572 (372*2π)/8172 weeks
373.06363 -.00061 (373*2π)/8172 weeks
374.02 .00163 (374*2π)/8172 weeks
375.01333 .00241 (375*2π)/8172 weeks
376.01401 -.04373 (376*2π)/8172 weeks
377.05072 -.0184 (377*2π)/8172 weeks
378.0308 -.04665 (378*2π)/8172 weeks
379.05383 -.03468 (379*2π)/8172 weeks
380.02933 -.05771 (380*2π)/8172 weeks
381.02833 .00278 (381*2π)/8172 weeks
382.06035 .00787 (382*2π)/8172 weeks
383.02239 -.03628 (383*2π)/8172 weeks
384.04528 -.01179 (384*2π)/8172 weeks
385.01476 .02208 (385*2π)/8172 weeks
386.04572 -.00868 (386*2π)/8172 weeks
387.0312 -.0358 (387*2π)/8172 weeks
388.02019 .04891 (388*2π)/8172 weeks
389.06526 -.00667 (389*2π)/8172 weeks
390.01337 -.02659 (390*2π)/8172 weeks
391.02093 .03164 (391*2π)/8172 weeks
392.07319 .042 (392*2π)/8172 weeks
393.03463 -.01488 (393*2π)/8172 weeks
394.02279 .02847 (394*2π)/8172 weeks
395.01092 .00678 (395*2π)/8172 weeks
396.04459 -.03134 (396*2π)/8172 weeks
397.00411 -.00329 (397*2π)/8172 weeks
398.05778 .01812 (398*2π)/8172 weeks
399.02608 -.03464 (399*2π)/8172 weeks
400.03596 .04772 (400*2π)/8172 weeks
401.02787 .01061 (401*2π)/8172 weeks
402.0263 -.02371 (402*2π)/8172 weeks
403-.00784 .03318 (403*2π)/8172 weeks
404.00158 -.01179 (404*2π)/8172 weeks
405.01662 -.01885 (405*2π)/8172 weeks
406.0372 -.00621 (406*2π)/8172 weeks
407.07353 -.01652 (407*2π)/8172 weeks
408.02838 -.05425 (408*2π)/8172 weeks
409.02838 .05425 (409*2π)/8172 weeks
410.07353 .01652 (410*2π)/8172 weeks
411.0372 .00621 (411*2π)/8172 weeks
412.01662 .01885 (412*2π)/8172 weeks
413.00158 .01179 (413*2π)/8172 weeks
414-.00784 -.03318 (414*2π)/8172 weeks
415.0263 .02371 (415*2π)/8172 weeks
416.02787 -.01061 (416*2π)/8172 weeks
417.03596 -.04772 (417*2π)/8172 weeks
418.02608 .03464 (418*2π)/8172 weeks
419.05778 -.01812 (419*2π)/8172 weeks
420.00411 .00329 (420*2π)/8172 weeks
421.04459 .03134 (421*2π)/8172 weeks
422.01092 -.00678 (422*2π)/8172 weeks
423.02279 -.02847 (423*2π)/8172 weeks
424.03463 .01488 (424*2π)/8172 weeks
425.07319 -.042 (425*2π)/8172 weeks
426.02093 -.03164 (426*2π)/8172 weeks
427.01337 .02659 (427*2π)/8172 weeks
428.06526 .00667 (428*2π)/8172 weeks
429.02019 -.04891 (429*2π)/8172 weeks
430.0312 .0358 (430*2π)/8172 weeks
431.04572 .00868 (431*2π)/8172 weeks
432.01476 -.02208 (432*2π)/8172 weeks
433.04528 .01179 (433*2π)/8172 weeks
434.02239 .03628 (434*2π)/8172 weeks
435.06035 -.00787 (435*2π)/8172 weeks
436.02833 -.00278 (436*2π)/8172 weeks
437.02933 .05771 (437*2π)/8172 weeks
438.05383 .03468 (438*2π)/8172 weeks
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