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Fourier Analysis of BTU (Peabody Energy Corporation)


BTU (Peabody Energy Corporation) appears to have interesting cyclic behaviour every 84 weeks (44.9271*sine), 76 weeks (31.7359*sine), and 47 weeks (15.7136*cosine).

BTU (Peabody Energy Corporation) has an average price of 349.38 (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 5/22/2001 to 4/16/2018 for BTU (Peabody Energy Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0349.3779   0 
1-343.13 24.13104 (1*2π)/839839 weeks
2-4.91725 -1.40418 (2*2π)/839420 weeks
370.70248 -11.93907 (3*2π)/839280 weeks
4-47.6373 39.53966 (4*2π)/839210 weeks
559.58224 26.94094 (5*2π)/839168 weeks
6-42.1779 -49.30132 (6*2π)/839140 weeks
743.13004 17.90359 (7*2π)/839120 weeks
8-26.62437 15.08225 (8*2π)/839105 weeks
9-4.14557 -34.64969 (9*2π)/83993 weeks
109.52755 44.92706 (10*2π)/83984 weeks
115.57949 -31.73587 (11*2π)/83976 weeks
12-14.39063 24.29092 (12*2π)/83970 weeks
139.25919 -23.76217 (13*2π)/83965 weeks
14-.28194 24.22422 (14*2π)/83960 weeks
15-8.80942 -8.28154 (15*2π)/83956 weeks
1613.6017 -7.407 (16*2π)/83952 weeks
17-14.35667 16.44378 (17*2π)/83949 weeks
1815.71363 -9.66287 (18*2π)/83947 weeks
19-8.5004 2.04483 (19*2π)/83944 weeks
204.01025 .58569 (20*2π)/83942 weeks
21-6.88833 11.06134 (21*2π)/83940 weeks
229.60951 -19.05532 (22*2π)/83938 weeks
23.52951 15.94481 (23*2π)/83936 weeks
24-6.87725 -7.07174 (24*2π)/83935 weeks
252.63774 1.58999 (25*2π)/83934 weeks
26-5.27467 -.79253 (26*2π)/83932 weeks
2710.65094 4.77013 (27*2π)/83931 weeks
28-13.16631 1.90334 (28*2π)/83930 weeks
297.62156 -10.80192 (29*2π)/83929 weeks
301.05003 12.58248 (30*2π)/83928 weeks
31-5.23551 -7.7419 (31*2π)/83927 weeks
328.96553 1.39214 (32*2π)/83926 weeks
33-6.48038 4.42974 (33*2π)/83925 weeks
34.93847 -4.68017 (34*2π)/83925 weeks
353.02675 5.54446 (35*2π)/83924 weeks
36-.48199 -.65639 (36*2π)/83923 weeks
37-1.00444 -2.2753 (37*2π)/83923 weeks
382.51174 2.08015 (38*2π)/83922 weeks
39-.70667 .53519 (39*2π)/83922 weeks
40-.5454 .5003 (40*2π)/83921 weeks
41-.52313 -.78032 (41*2π)/83920 weeks
422.0452 1.34071 (42*2π)/83920 weeks
43-2.52946 1.36823 (43*2π)/83920 weeks
441.89327 1.03535 (44*2π)/83919 weeks
45-3.13842 -2.53602 (45*2π)/83919 weeks
465.77266 4.85269 (46*2π)/83918 weeks
47-2.97232 -2.37196 (47*2π)/83918 weeks
48.76434 .13008 (48*2π)/83917 weeks
491.88215 3.27079 (49*2π)/83917 weeks
50-3.77259 -3.74835 (50*2π)/83917 weeks
514.51048 5.69082 (51*2π)/83916 weeks
52.76524 -6.96849 (52*2π)/83916 weeks
53-3.30833 7.18174 (53*2π)/83916 weeks
54-.16718 -1.94425 (54*2π)/83916 weeks
552.57778 -2.76885 (55*2π)/83915 weeks
56.48771 4.48316 (56*2π)/83915 weeks
57-.39879 .02098 (57*2π)/83915 weeks
58-2.27947 -3.39502 (58*2π)/83914 weeks
592.84062 2.58625 (59*2π)/83914 weeks
60-2.13008 1.56461 (60*2π)/83914 weeks
61-2.14679 -2.78225 (61*2π)/83914 weeks
626.38844 5.52347 (62*2π)/83914 weeks
63-.93919 -2.35237 (63*2π)/83913 weeks
64-.58854 -1.43037 (64*2π)/83913 weeks
65.33178 3.02983 (65*2π)/83913 weeks
66-1.6106 .29242 (66*2π)/83913 weeks
67-.52316 -.13223 (67*2π)/83913 weeks
682.56723 -1.21752 (68*2π)/83912 weeks
69.23968 3.36401 (69*2π)/83912 weeks
70-2.69459 -3.137 (70*2π)/83912 weeks
711.63157 1.58935 (71*2π)/83912 weeks
72.09815 -1.42092 (72*2π)/83912 weeks
73-1.24546 1.05781 (73*2π)/83911 weeks
74.82137 1.14084 (74*2π)/83911 weeks
751.93374 .48601 (75*2π)/83911 weeks
76-1.02433 -.27856 (76*2π)/83911 weeks
77-.15068 -.05239 (77*2π)/83911 weeks
78.8335 .35815 (78*2π)/83911 weeks
79.2702 1.75785 (79*2π)/83911 weeks
80-.9736 .88231 (80*2π)/83910 weeks
811.92017 -2.68291 (81*2π)/83910 weeks
821.26557 3.49686 (82*2π)/83910 weeks
83-3.65263 .14901 (83*2π)/83910 weeks
843.59502 -1.57123 (84*2π)/83910 weeks
85-4.67347 1.26605 (85*2π)/83910 weeks
863.73463 1.20371 (86*2π)/83910 weeks
87-3.149 .00835 (87*2π)/83910 weeks
883.41198 -1.76022 (88*2π)/83910 weeks
89-2.42669 3.20111 (89*2π)/8399 weeks
90-.00161 -2.09734 (90*2π)/8399 weeks
91.58439 2.67864 (91*2π)/8399 weeks
92-.07059 -2.30466 (92*2π)/8399 weeks
93.63999 1.98363 (93*2π)/8399 weeks
94-1.70781 .2938 (94*2π)/8399 weeks
951.48117 -2.26225 (95*2π)/8399 weeks
96-3.15988 4.19591 (96*2π)/8399 weeks
972.7272 -1.97066 (97*2π)/8399 weeks
981.05744 -.67021 (98*2π)/8399 weeks
99-2.61965 .08928 (99*2π)/8398 weeks
1002.01875 -.86299 (100*2π)/8398 weeks
101-.71381 -.49742 (101*2π)/8398 weeks
102-.88539 3.12777 (102*2π)/8398 weeks
1031.21352 -.88001 (103*2π)/8398 weeks
104.68969 -3.65893 (104*2π)/8398 weeks
105-.67769 5.80522 (105*2π)/8398 weeks
106.31947 -2.61641 (106*2π)/8398 weeks
107-.50363 -.92663 (107*2π)/8398 weeks
1083.53014 2.44357 (108*2π)/8398 weeks
109-5.7328 -1.42272 (109*2π)/8398 weeks
1104.51407 -.19813 (110*2π)/8398 weeks
111-.68231 1.9702 (111*2π)/8398 weeks
112.21775 -3.25995 (112*2π)/8397 weeks
113-1.61461 2.46681 (113*2π)/8397 weeks
1142.58553 -.64148 (114*2π)/8397 weeks
115-1.37753 -1.30919 (115*2π)/8397 weeks
116.15037 2.21122 (116*2π)/8397 weeks
1172.86627 -1.4462 (117*2π)/8397 weeks
118-4.19257 .41212 (118*2π)/8397 weeks
1194.32564 -.03151 (119*2π)/8397 weeks
120-1.41262 -.60336 (120*2π)/8397 weeks
121-1.21443 2.54056 (121*2π)/8397 weeks
1221.21998 -1.55223 (122*2π)/8397 weeks
123.83209 .74963 (123*2π)/8397 weeks
124-.86491 2.16137 (124*2π)/8397 weeks
1251.99826 -1.62476 (125*2π)/8397 weeks
126-1.69537 -1.5108 (126*2π)/8397 weeks
127.15453 1.28612 (127*2π)/8397 weeks
1281.25249 .67639 (128*2π)/8397 weeks
129-.14193 -1.13282 (129*2π)/8397 weeks
130-.76335 1.66684 (130*2π)/8396 weeks
1312.23659 -1.65003 (131*2π)/8396 weeks
132-.94624 1.77715 (132*2π)/8396 weeks
133-1.54633 -1.1527 (133*2π)/8396 weeks
1343.03884 .69924 (134*2π)/8396 weeks
135-2.09522 .70495 (135*2π)/8396 weeks
1361.29044 .87785 (136*2π)/8396 weeks
137-1.52936 -2.13499 (137*2π)/8396 weeks
1381.84549 1.54303 (138*2π)/8396 weeks
139-.67388 -.0649 (139*2π)/8396 weeks
140.52979 -.57712 (140*2π)/8396 weeks
141-1.29556 1.46452 (141*2π)/8396 weeks
1422.402 -1.35435 (142*2π)/8396 weeks
143-.97781 .88039 (143*2π)/8396 weeks
144-.18135 -.55263 (144*2π)/8396 weeks
1452.4975 .04797 (145*2π)/8396 weeks
146-2.76895 .60553 (146*2π)/8396 weeks
1471.78177 -1.78354 (147*2π)/8396 weeks
148-.71561 3.02369 (148*2π)/8396 weeks
149-.0246 -1.73707 (149*2π)/8396 weeks
150.88817 1.4168 (150*2π)/8396 weeks
151.20065 -.93991 (151*2π)/8396 weeks
152.80538 1.27348 (152*2π)/8396 weeks
153-1.66795 -.57781 (153*2π)/8395 weeks
1541.73582 .21989 (154*2π)/8395 weeks
155-1.09768 .50916 (155*2π)/8395 weeks
1561.61522 -.66762 (156*2π)/8395 weeks
157.06322 -.12104 (157*2π)/8395 weeks
158-1.3345 1.0343 (158*2π)/8395 weeks
159.94258 .50454 (159*2π)/8395 weeks
1601.60966 -1.27449 (160*2π)/8395 weeks
161-2.13854 1.87194 (161*2π)/8395 weeks
1621.29559 -1.10642 (162*2π)/8395 weeks
163.7474 -.20256 (163*2π)/8395 weeks
164-.35639 1.38702 (164*2π)/8395 weeks
165-.92117 .2145 (165*2π)/8395 weeks
1661.93782 -1.60806 (166*2π)/8395 weeks
167-1.44579 2.61115 (167*2π)/8395 weeks
1681.0113 -1.20181 (168*2π)/8395 weeks
169-.43297 1.63836 (169*2π)/8395 weeks
170.89372 -1.78433 (170*2π)/8395 weeks
171-.24132 2.02223 (171*2π)/8395 weeks
172-.5216 -1.08875 (172*2π)/8395 weeks
1731.38527 -.1053 (173*2π)/8395 weeks
174-1.89171 2.04904 (174*2π)/8395 weeks
1751.8811 -2.01337 (175*2π)/8395 weeks
176.0447 1.05943 (176*2π)/8395 weeks
177-.80808 .40846 (177*2π)/8395 weeks
178-.09844 -.16764 (178*2π)/8395 weeks
179.0479 -.52101 (179*2π)/8395 weeks
1801.94071 2.26654 (180*2π)/8395 weeks
181-3.05937 -1.62471 (181*2π)/8395 weeks
1822.30133 .19617 (182*2π)/8395 weeks
183-.85723 .50506 (183*2π)/8395 weeks
184.23625 .61223 (184*2π)/8395 weeks
185-.60547 -.44889 (185*2π)/8395 weeks
1862.56971 .22631 (186*2π)/8395 weeks
187-3.00851 .36425 (187*2π)/8394 weeks
1881.85413 -.84413 (188*2π)/8394 weeks
1891.16468 -.29604 (189*2π)/8394 weeks
190-1.97171 2.28147 (190*2π)/8394 weeks
191.2731 -1.6774 (191*2π)/8394 weeks
1921.47821 -.24043 (192*2π)/8394 weeks
193-.09707 1.51364 (193*2π)/8394 weeks
194-1.17795 .03089 (194*2π)/8394 weeks
195.76098 -.89884 (195*2π)/8394 weeks
196.77605 1.67917 (196*2π)/8394 weeks
197-.98435 -1.2459 (197*2π)/8394 weeks
198-.19559 1.15512 (198*2π)/8394 weeks
1992.27485 -.34878 (199*2π)/8394 weeks
200-2.08632 .9661 (200*2π)/8394 weeks
201.54125 -1.10006 (201*2π)/8394 weeks
2021.24555 -.50659 (202*2π)/8394 weeks
203-1.19306 2.37685 (203*2π)/8394 weeks
2041.36747 -2.04588 (204*2π)/8394 weeks
205-1.03949 1.38709 (205*2π)/8394 weeks
206.73353 -.43565 (206*2π)/8394 weeks
207-.22767 -.2401 (207*2π)/8394 weeks
208-.60795 .60781 (208*2π)/8394 weeks
2091.42292 .37432 (209*2π)/8394 weeks
210-1.04152 -1.09961 (210*2π)/8394 weeks
211.02975 2.51417 (211*2π)/8394 weeks
212.62712 -2.62603 (212*2π)/8394 weeks
213-.31683 2.79818 (213*2π)/8394 weeks
214.08795 -1.61425 (214*2π)/8394 weeks
215.90461 .59811 (215*2π)/8394 weeks
216-2.14309 -.07568 (216*2π)/8394 weeks
2172.47484 .56619 (217*2π)/8394 weeks
218-1.71366 .31721 (218*2π)/8394 weeks
219.34786 -.62407 (219*2π)/8394 weeks
220.48746 .94393 (220*2π)/8394 weeks
221-.45201 -1.31827 (221*2π)/8394 weeks
222-.10739 2.22695 (222*2π)/8394 weeks
223.12651 -2.0537 (223*2π)/8394 weeks
224.45082 .49915 (224*2π)/8394 weeks
225-1.51416 1.0727 (225*2π)/8394 weeks
2261.8974 -.90673 (226*2π)/8394 weeks
227-1.312 1.24757 (227*2π)/8394 weeks
228-.29727 -.9899 (228*2π)/8394 weeks
2291.08307 1.20389 (229*2π)/8394 weeks
230-.1182 -1.94163 (230*2π)/8394 weeks
231.09574 2.44725 (231*2π)/8394 weeks
232-1.22222 -2.08374 (232*2π)/8394 weeks
2331.25636 1.16052 (233*2π)/8394 weeks
234-.63852 -.09494 (234*2π)/8394 weeks
235-.22246 -.63705 (235*2π)/8394 weeks
236.40852 .46877 (236*2π)/8394 weeks
237.27352 -.51747 (237*2π)/8394 weeks
238-.34281 .60561 (238*2π)/8394 weeks
239-.15895 -.51642 (239*2π)/8394 weeks
240.50015 .50255 (240*2π)/8393 weeks
241-.26939 -.27079 (241*2π)/8393 weeks
242.10694 .53696 (242*2π)/8393 weeks
243-.13705 -1.25351 (243*2π)/8393 weeks
244.69538 1.50169 (244*2π)/8393 weeks
245-.54656 -.04062 (245*2π)/8393 weeks
246.48984 -1.81667 (246*2π)/8393 weeks
247.00566 1.55312 (247*2π)/8393 weeks
248-.16415 -.37066 (248*2π)/8393 weeks
249.11596 .68078 (249*2π)/8393 weeks
250.66097 -1.20481 (250*2π)/8393 weeks
251.2043 .98966 (251*2π)/8393 weeks
252-1.34599 -.43568 (252*2π)/8393 weeks
2531.42721 -.6433 (253*2π)/8393 weeks
254-.79915 .563 (254*2π)/8393 weeks
255.03277 .39219 (255*2π)/8393 weeks
256-.24301 -.65584 (256*2π)/8393 weeks
2571.60462 .44032 (257*2π)/8393 weeks
258-1.09575 .45041 (258*2π)/8393 weeks
259.43785 -.81225 (259*2π)/8393 weeks
260.96503 -.25572 (260*2π)/8393 weeks
261-.86415 .72318 (261*2π)/8393 weeks
262-.30098 .29452 (262*2π)/8393 weeks
2631.53285 -.57478 (263*2π)/8393 weeks
264-.63415 1.0142 (264*2π)/8393 weeks
265.03454 -1.07576 (265*2π)/8393 weeks
266.33712 .27764 (266*2π)/8393 weeks
267.29565 -.05421 (267*2π)/8393 weeks
268-.48553 .19222 (268*2π)/8393 weeks
269-.68076 -.07817 (269*2π)/8393 weeks
2702.07136 .00653 (270*2π)/8393 weeks
271-1.20921 .55319 (271*2π)/8393 weeks
2721.07068 -.56588 (272*2π)/8393 weeks
273-.67808 .53176 (273*2π)/8393 weeks
274.48815 -.35439 (274*2π)/8393 weeks
275.00886 .48772 (275*2π)/8393 weeks
276-.05692 -.24036 (276*2π)/8393 weeks
277.44719 .68686 (277*2π)/8393 weeks
278.16309 -1.24402 (278*2π)/8393 weeks
279.53563 .18024 (279*2π)/8393 weeks
280-.89112 1.98026 (280*2π)/8393 weeks
281.0318 -2.54153 (281*2π)/8393 weeks
2821.43463 .75115 (282*2π)/8393 weeks
283-1.12591 .53326 (283*2π)/8393 weeks
284-.13448 .04836 (284*2π)/8393 weeks
2851.25221 -.93624 (285*2π)/8393 weeks
286-.30798 1.0173 (286*2π)/8393 weeks
287-.63428 .50923 (287*2π)/8393 weeks
2881.15122 -1.9625 (288*2π)/8393 weeks
289-.00081 2.22165 (289*2π)/8393 weeks
290-.30986 -.61537 (290*2π)/8393 weeks
291.81674 -.10936 (291*2π)/8393 weeks
292-.49018 .24532 (292*2π)/8393 weeks
293.78558 -.19109 (293*2π)/8393 weeks
294-.76251 .04923 (294*2π)/8393 weeks
295.23214 -.00403 (295*2π)/8393 weeks
296.93761 .64425 (296*2π)/8393 weeks
297-1.67433 -1.4519 (297*2π)/8393 weeks
2981.65976 1.31352 (298*2π)/8393 weeks
299-.76375 -.24754 (299*2π)/8393 weeks
300.19421 -.12184 (300*2π)/8393 weeks
301.25832 -.12752 (301*2π)/8393 weeks
302.83472 .1448 (302*2π)/8393 weeks
303-1.67585 .14595 (303*2π)/8393 weeks
3041.13504 -.30422 (304*2π)/8393 weeks
305.87162 .18347 (305*2π)/8393 weeks
306-1.13671 .83194 (306*2π)/8393 weeks
307.55213 -.64893 (307*2π)/8393 weeks
3081.14915 -1.0292 (308*2π)/8393 weeks
309-1.11225 1.97436 (309*2π)/8393 weeks
310-.1307 -.9707 (310*2π)/8393 weeks
3111.07802 -.27484 (311*2π)/8393 weeks
312-.68527 1.0742 (312*2π)/8393 weeks
313.73798 -1.0076 (313*2π)/8393 weeks
314-.00963 .73118 (314*2π)/8393 weeks
315.09427 -.36841 (315*2π)/8393 weeks
316-.60278 .41723 (316*2π)/8393 weeks
317.45857 -.50352 (317*2π)/8393 weeks
318.31053 .67516 (318*2π)/8393 weeks
319.07048 .62334 (319*2π)/8393 weeks
320-.47207 -1.25024 (320*2π)/8393 weeks
3211.72879 .43295 (321*2π)/8393 weeks
322-1.08073 .27164 (322*2π)/8393 weeks
323-.0572 .33053 (323*2π)/8393 weeks
324.47653 -.77366 (324*2π)/8393 weeks
325.0944 .01034 (325*2π)/8393 weeks
326.0007 1.39114 (326*2π)/8393 weeks
327.37012 -1.63979 (327*2π)/8393 weeks
328-.53303 .572 (328*2π)/8393 weeks
329.47837 .20399 (329*2π)/8393 weeks
330.26051 .0077 (330*2π)/8393 weeks
331-.23228 -.36049 (331*2π)/8393 weeks
332.05836 1.29376 (332*2π)/8393 weeks
333-.19436 -1.70466 (333*2π)/8393 weeks
334.97336 1.3633 (334*2π)/8393 weeks
335-1.05962 -.65411 (335*2π)/8393 weeks
336.65182 .43643 (336*2π)/8392 weeks
337.91639 -.6496 (337*2π)/8392 weeks
338-.84711 .71471 (338*2π)/8392 weeks
339.51169 -.23227 (339*2π)/8392 weeks
340.05893 -.82106 (340*2π)/8392 weeks
341.04366 1.17378 (341*2π)/8392 weeks
342.38456 -.67374 (342*2π)/8392 weeks
343-.30082 -.66325 (343*2π)/8392 weeks
344.45458 .5978 (344*2π)/8392 weeks
345.09992 .77394 (345*2π)/8392 weeks
346-.62515 -.18593 (346*2π)/8392 weeks
347.89513 -.92655 (347*2π)/8392 weeks
348.42697 1.2219 (348*2π)/8392 weeks
349-.92867 -.76366 (349*2π)/8392 weeks
3501.52522 .13636 (350*2π)/8392 weeks
351-.84706 .49064 (351*2π)/8392 weeks
352.17083 -.21162 (352*2π)/8392 weeks
353.66545 -.05385 (353*2π)/8392 weeks
354.65321 -.05476 (354*2π)/8392 weeks
355-1.08552 .16031 (355*2π)/8392 weeks
356.75879 .45711 (356*2π)/8392 weeks
357.23149 -.80945 (357*2π)/8392 weeks
358-1.01809 .36617 (358*2π)/8392 weeks
3591.45226 .54646 (359*2π)/8392 weeks
360-.71914 -.47857 (360*2π)/8392 weeks
361.26311 .3158 (361*2π)/8392 weeks
362.19796 .2403 (362*2π)/8392 weeks
363.05447 -1.00799 (363*2π)/8392 weeks
364.05322 2.60502 (364*2π)/8392 weeks
365-.22988 -1.78732 (365*2π)/8392 weeks
366.5759 .4631 (366*2π)/8392 weeks
367.30928 1.02343 (367*2π)/8392 weeks
368-.09618 -1.04763 (368*2π)/8392 weeks
369-.9133 .41006 (369*2π)/8392 weeks
3701.58687 .07642 (370*2π)/8392 weeks
371-.53391 -.16774 (371*2π)/8392 weeks
372-.67409 .33708 (372*2π)/8392 weeks
373.95036 .11105 (373*2π)/8392 weeks
374-.35801 -.25072 (374*2π)/8392 weeks
375-.24226 .33743 (375*2π)/8392 weeks
376.62132 -.24026 (376*2π)/8392 weeks
377-.94261 .88812 (377*2π)/8392 weeks
378.79146 -1.03535 (378*2π)/8392 weeks
379.23556 1.28067 (379*2π)/8392 weeks
380-.58944 -1.52693 (380*2π)/8392 weeks
381.66728 1.22243 (381*2π)/8392 weeks
382-1.00514 -.49923 (382*2π)/8392 weeks
383.92887 -.10333 (383*2π)/8392 weeks
384.14468 .80633 (384*2π)/8392 weeks
385-.14105 -.62343 (385*2π)/8392 weeks
386.35577 .70016 (386*2π)/8392 weeks
387-.51366 -1.37689 (387*2π)/8392 weeks
388.90595 .82807 (388*2π)/8392 weeks
389-1.4699 .42153 (389*2π)/8392 weeks
3901.35112 -.36305 (390*2π)/8392 weeks
391-.23984 -.73508 (391*2π)/8392 weeks
392-.20155 1.65829 (392*2π)/8392 weeks
393.29083 -1.72355 (393*2π)/8392 weeks
394-.05497 1.15245 (394*2π)/8392 weeks
395.33261 .03477 (395*2π)/8392 weeks
396-.12194 -.62733 (396*2π)/8392 weeks
397-.0073 1.16888 (397*2π)/8392 weeks
398.88604 -.49328 (398*2π)/8392 weeks
399-1.25489 -.20209 (399*2π)/8392 weeks
4001.94384 -.01751 (400*2π)/8392 weeks
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818-6.88833 -11.06134 (818*2π)/8391 weeks
8194.01025 -.58569 (819*2π)/8391 weeks
820-8.5004 -2.04483 (820*2π)/8391 weeks
82115.71363 9.66287 (821*2π)/8391 weeks
822-14.35667 -16.44378 (822*2π)/8391 weeks
82313.6017 7.407 (823*2π)/8391 weeks
824-8.80942 8.28154 (824*2π)/8391 weeks
825-.28194 -24.22422 (825*2π)/8391 weeks
8269.25919 23.76217 (826*2π)/8391 weeks
827-14.39063 -24.29092 (827*2π)/8391 weeks
8285.57949 31.73587 (828*2π)/8391 weeks
8299.52755 -44.92706 (829*2π)/8391 weeks
830-4.14557 34.64969 (830*2π)/8391 weeks
831-26.62437 -15.08225 (831*2π)/8391 weeks
83243.13004 -17.90359 (832*2π)/8391 weeks
833-42.1779 49.30132 (833*2π)/8391 weeks
83459.58224 -26.94094 (834*2π)/8391 weeks
835-47.6373 -39.53966 (835*2π)/8391 weeks
83670.70248 11.93907 (836*2π)/8391 weeks
837-4.91725 1.40418 (837*2π)/8391 weeks



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