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Fourier Analysis of BRK-A (Berkshire Hathaway Inc)


BRK-A (Berkshire Hathaway Inc) appears to have interesting cyclic behaviour every 92 weeks (9084.021*sine), 66 weeks (5991.618*sine), and 76 weeks (5710.301*sine).

BRK-A (Berkshire Hathaway Inc) has an average price of 123,272 (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 1/3/2000 to 7/24/2017 for BRK-A (Berkshire Hathaway Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0123,272   0 
120,518.82 -46,759.45 (1*2π)/917917 weeks
26,571.271 -38,926.25 (2*2π)/917459 weeks
3-5,279.065 -16,742.45 (3*2π)/917306 weeks
4251.6878 -14,051.32 (4*2π)/917229 weeks
54,439.601 -4,658.368 (5*2π)/917183 weeks
6-589.2658 -15,631.2 (6*2π)/917153 weeks
72,485.046 -6,942.321 (7*2π)/917131 weeks
82,961.115 -12,794.12 (8*2π)/917115 weeks
9-13.67334 -7,368.721 (9*2π)/917102 weeks
10-2,420.61 -9,084.021 (10*2π)/91792 weeks
11-2,068.41 -4,998.16 (11*2π)/91783 weeks
12-893.3749 -5,710.301 (12*2π)/91776 weeks
131,819.234 -3,916.652 (13*2π)/91771 weeks
14114.5602 -5,991.618 (14*2π)/91766 weeks
15-978.9125 -4,917.629 (15*2π)/91761 weeks
165.45026 -3,852.824 (16*2π)/91757 weeks
1739.37575 -5,228.587 (17*2π)/91754 weeks
18-203.7621 -3,351.352 (18*2π)/91751 weeks
19-1,834.256 -3,400.844 (19*2π)/91748 weeks
20340.4078 -3,741.506 (20*2π)/91746 weeks
21-1,236.021 -1,842.923 (21*2π)/91744 weeks
2243.83883 -3,223.125 (22*2π)/91742 weeks
23-2,100.386 -2,597.432 (23*2π)/91740 weeks
24-200.6007 -2,362.91 (24*2π)/91738 weeks
25-429.0955 -1,467.151 (25*2π)/91737 weeks
26525.3409 -2,169.273 (26*2π)/91735 weeks
27-636.2535 -1,749.014 (27*2π)/91734 weeks
28477.0623 -2,157.169 (28*2π)/91733 weeks
29-537.0005 -2,976.864 (29*2π)/91732 weeks
30-183.9707 -2,294.908 (30*2π)/91731 weeks
31418.2736 -1,833.036 (31*2π)/91730 weeks
32-31.79927 -2,096.597 (32*2π)/91729 weeks
33247.9407 -1,813.624 (33*2π)/91728 weeks
34-35.15158 -2,726.816 (34*2π)/91727 weeks
35-631.2784 -1,774.581 (35*2π)/91726 weeks
36513.1332 -2,088.797 (36*2π)/91725 weeks
37-863.5524 -1,757.976 (37*2π)/91725 weeks
38985.8229 -1,525.188 (38*2π)/91724 weeks
39-520.4155 -1,523.747 (39*2π)/91724 weeks
40127.7067 -1,799.596 (40*2π)/91723 weeks
41-213.6123 -2,121.089 (41*2π)/91722 weeks
42263.7532 -1,466.133 (42*2π)/91722 weeks
43221.2569 -2,021.518 (43*2π)/91721 weeks
44-394.9008 -2,500.424 (44*2π)/91721 weeks
45-813.2897 -1,656.342 (45*2π)/91720 weeks
46-569.6915 -1,372.897 (46*2π)/91720 weeks
47-226.7201 -1,105.765 (47*2π)/91720 weeks
48-148.4789 -1,515.389 (48*2π)/91719 weeks
49-200.294 -899.1372 (49*2π)/91719 weeks
50-130.5474 -1,665.45 (50*2π)/91718 weeks
51145.6291 -784.117 (51*2π)/91718 weeks
52679.3472 -1,257.313 (52*2π)/91718 weeks
53500.8651 -1,401.174 (53*2π)/91717 weeks
54301.1093 -1,303.749 (54*2π)/91717 weeks
55345.6195 -1,538.823 (55*2π)/91717 weeks
56-648.272 -2,090.904 (56*2π)/91716 weeks
57-310.7466 -1,111.707 (57*2π)/91716 weeks
58-.19539 -2,021.313 (58*2π)/91716 weeks
5915.77999 -722.2448 (59*2π)/91716 weeks
6066.66479 -1,595.775 (60*2π)/91715 weeks
61-257.9597 -319.1143 (61*2π)/91715 weeks
62-41.15846 -1,866.763 (62*2π)/91715 weeks
63-635.5355 -761.0881 (63*2π)/91715 weeks
64-314.8061 -1,520.347 (64*2π)/91714 weeks
65-683.2186 -923.6298 (65*2π)/91714 weeks
66-354.331 -1,111.66 (66*2π)/91714 weeks
67-241.3087 -667.1281 (67*2π)/91714 weeks
68-655.5129 -994.2534 (68*2π)/91713 weeks
69-285.99 -296.9984 (69*2π)/91713 weeks
70-447.0121 -697.4357 (70*2π)/91713 weeks
71-353.5044 -734.368 (71*2π)/91713 weeks
72-204.5724 -503.0197 (72*2π)/91713 weeks
73-81.80631 -826.9 (73*2π)/91713 weeks
74-247.3595 -943.0488 (74*2π)/91712 weeks
75-479.5228 -655.0417 (75*2π)/91712 weeks
76-308.8468 -543.9531 (76*2π)/91712 weeks
77-109.8374 -423.7435 (77*2π)/91712 weeks
78183.2179 -493.8946 (78*2π)/91712 weeks
79411.1945 -624.8491 (79*2π)/91712 weeks
80168.8661 -1,371.259 (80*2π)/91711 weeks
81-258.5796 -727.1495 (81*2π)/91711 weeks
82182.8416 -751.1835 (82*2π)/91711 weeks
83-463.6602 -277.4797 (83*2π)/91711 weeks
84-326.084 -826.6884 (84*2π)/91711 weeks
85-246.8472 -892.3085 (85*2π)/91711 weeks
86-260.8786 -710.0617 (86*2π)/91711 weeks
87354.9676 -639.1239 (87*2π)/91711 weeks
8847.72475 -840.9342 (88*2π)/91710 weeks
89-55.81665 -820.5967 (89*2π)/91710 weeks
90-217.0511 -805.4406 (90*2π)/91710 weeks
91-227.3532 -553.7285 (91*2π)/91710 weeks
92-334.6387 -723.3909 (92*2π)/91710 weeks
93-217.7473 -787.318 (93*2π)/91710 weeks
94-368.4087 -431.9081 (94*2π)/91710 weeks
95-196.0842 -537.1713 (95*2π)/91710 weeks
96-265.7999 -341.6083 (96*2π)/91710 weeks
97-21.49265 -532.3879 (97*2π)/9179 weeks
98-273.7563 -651.2314 (98*2π)/9179 weeks
99-89.76389 -617.7031 (99*2π)/9179 weeks
100-545.03 -557.4504 (100*2π)/9179 weeks
101-234.5991 -394.7018 (101*2π)/9179 weeks
102-462.7043 -797.0334 (102*2π)/9179 weeks
103-510.6316 -408.8635 (103*2π)/9179 weeks
104-267.477 -867.2764 (104*2π)/9179 weeks
105-423.9294 -586.536 (105*2π)/9179 weeks
106-379.836 -840.5184 (106*2π)/9179 weeks
107-449.9833 -270.4866 (107*2π)/9179 weeks
108-248.9767 -678.1558 (108*2π)/9178 weeks
109-148.6896 -249.0359 (109*2π)/9178 weeks
110-315.2397 -986.5649 (110*2π)/9178 weeks
111-305.3298 -301.5833 (111*2π)/9178 weeks
112-423.8495 -520.0537 (112*2π)/9178 weeks
113-130.4265 -409.9083 (113*2π)/9178 weeks
114-343.4439 -671.2737 (114*2π)/9178 weeks
115-190.835 -622.6555 (115*2π)/9178 weeks
116-297.9829 -625.7461 (116*2π)/9178 weeks
117-145.7895 -610.3894 (117*2π)/9178 weeks
118-283.9621 -362.0634 (118*2π)/9178 weeks
11925.77362 -721.2032 (119*2π)/9178 weeks
120-400.7105 -377.3949 (120*2π)/9178 weeks
121-65.55109 -538.4949 (121*2π)/9178 weeks
122-245.2128 -276.594 (122*2π)/9178 weeks
123-221.2511 -392.305 (123*2π)/9177 weeks
124-114.0462 -400.0491 (124*2π)/9177 weeks
125-145.4895 -557.5781 (125*2π)/9177 weeks
126-233.026 -533.2033 (126*2π)/9177 weeks
12785.23595 -477.4736 (127*2π)/9177 weeks
128-14.00913 -474.6324 (128*2π)/9177 weeks
129-163.7227 -564.0479 (129*2π)/9177 weeks
130-242.2946 -283.4725 (130*2π)/9177 weeks
13191.3288 -691.4598 (131*2π)/9177 weeks
132-431.0604 -382.3772 (132*2π)/9177 weeks
133-233.7755 -490.4526 (133*2π)/9177 weeks
134-248.9135 -304.4553 (134*2π)/9177 weeks
135-148.0477 -699.6682 (135*2π)/9177 weeks
136-147.5002 -387.0604 (136*2π)/9177 weeks
137-183.0256 -703.8613 (137*2π)/9177 weeks
138-292.0216 -421.2433 (138*2π)/9177 weeks
139-241.8594 -683.0796 (139*2π)/9177 weeks
140-236.311 -345.3302 (140*2π)/9177 weeks
1416.31431 -649.9845 (141*2π)/9177 weeks
142-452.3075 -311.1816 (142*2π)/9176 weeks
14327.04715 -528.63 (143*2π)/9176 weeks
144-403.5725 -520.8939 (144*2π)/9176 weeks
145-193.8023 -374.9239 (145*2π)/9176 weeks
146-463.9593 -441.9797 (146*2π)/9176 weeks
147-52.9178 -451.5861 (147*2π)/9176 weeks
148-151.8016 -394.3454 (148*2π)/9176 weeks
14948.14902 -441.2656 (149*2π)/9176 weeks
150-83.80695 -336.0233 (150*2π)/9176 weeks
151-70.12759 -575.227 (151*2π)/9176 weeks
152-296.7636 -448.6264 (152*2π)/9176 weeks
153-326.0637 -452.1927 (153*2π)/9176 weeks
154-361.6474 -328.1433 (154*2π)/9176 weeks
155-137.9334 -441.6501 (155*2π)/9176 weeks
156-236.754 -479.4399 (156*2π)/9176 weeks
157-331.7978 -397.6677 (157*2π)/9176 weeks
158-370.6268 -411.1403 (158*2π)/9176 weeks
159-396.1274 -600.5461 (159*2π)/9176 weeks
160-362.7313 -148.5428 (160*2π)/9176 weeks
161-258.6706 -425.2224 (161*2π)/9176 weeks
162-341.1259 -285.9627 (162*2π)/9176 weeks
163-234.5544 -330.023 (163*2π)/9176 weeks
164-262.6488 -113.5468 (164*2π)/9176 weeks
165-113.7182 -307.9899 (165*2π)/9176 weeks
16637.21473 -334.3224 (166*2π)/9176 weeks
167-33.09806 -485.9089 (167*2π)/9175 weeks
168-196.2026 -341.6899 (168*2π)/9175 weeks
169-329.4068 -602.8934 (169*2π)/9175 weeks
170-267.5551 -14.47154 (170*2π)/9175 weeks
171-35.0633 -515.7907 (171*2π)/9175 weeks
172-240.582 -128.8139 (172*2π)/9175 weeks
173-50.03359 -516.2176 (173*2π)/9175 weeks
174-316.6632 -219.3803 (174*2π)/9175 weeks
175-228.3296 -412.9008 (175*2π)/9175 weeks
176-195.1479 -49.00471 (176*2π)/9175 weeks
177-65.91289 -492.205 (177*2π)/9175 weeks
178-25.92962 -205.1522 (178*2π)/9175 weeks
179-343.6549 -666.2173 (179*2π)/9175 weeks
180-161.7812 -31.91654 (180*2π)/9175 weeks
181-402.1393 -579.2318 (181*2π)/9175 weeks
182-208.1833 -113.1101 (182*2π)/9175 weeks
183-283.7961 -581.9217 (183*2π)/9175 weeks
184-398.5854 3.06331 (184*2π)/9175 weeks
185-345.0005 -304.7479 (185*2π)/9175 weeks
186-375.3711 -124.8535 (186*2π)/9175 weeks
187-103.4584 -381.4863 (187*2π)/9175 weeks
188-206.2133 -222.5971 (188*2π)/9175 weeks
189-359.318 -234.181 (189*2π)/9175 weeks
190-97.56497 -66.35909 (190*2π)/9175 weeks
191-268.3679 -353.5558 (191*2π)/9175 weeks
192-340.491 -230.4533 (192*2π)/9175 weeks
193-413.1093 -195.9514 (193*2π)/9175 weeks
194-210.0259 -28.60878 (194*2π)/9175 weeks
195-66.41891 -183.8422 (195*2π)/9175 weeks
196-182.848 -91.81596 (196*2π)/9175 weeks
197-290.9622 -322.5613 (197*2π)/9175 weeks
198-205.3992 -139.1187 (198*2π)/9175 weeks
199-89.98017 -375.7073 (199*2π)/9175 weeks
200-298.0068 -271.2169 (200*2π)/9175 weeks
201-187.9678 -365.7067 (201*2π)/9175 weeks
202-404.6593 -205.1096 (202*2π)/9175 weeks
203-232.6414 -322.02 (203*2π)/9175 weeks
204-320.5209 -148.1145 (204*2π)/9174 weeks
205-229.7352 -283.3797 (205*2π)/9174 weeks
206-533.3289 -113.6381 (206*2π)/9174 weeks
207-185.2294 -318.1937 (207*2π)/9174 weeks
208-260.2927 -306.1017 (208*2π)/9174 weeks
209-69.46574 -370.5742 (209*2π)/9174 weeks
210-263.9 -301.3194 (210*2π)/9174 weeks
211-31.29734 -298.6946 (211*2π)/9174 weeks
212-289.1435 -137.1089 (212*2π)/9174 weeks
213-39.42502 -308.1139 (213*2π)/9174 weeks
214-267.1984 -210.9758 (214*2π)/9174 weeks
215-111.8444 -244.2932 (215*2π)/9174 weeks
216-193.8788 -76.89838 (216*2π)/9174 weeks
217-221.2658 -236.2451 (217*2π)/9174 weeks
218-284.5927 -118.6067 (218*2π)/9174 weeks
219-224.4601 -179.3186 (219*2π)/9174 weeks
220-53.59805 -290.5389 (220*2π)/9174 weeks
221-284.3993 -175.1115 (221*2π)/9174 weeks
222-85.7993 -467.2984 (222*2π)/9174 weeks
223-298.5437 -353.1578 (223*2π)/9174 weeks
224-154.1894 -385.6945 (224*2π)/9174 weeks
225-349.1985 -317.0289 (225*2π)/9174 weeks
226-329.3697 -239.3663 (226*2π)/9174 weeks
227-326.7669 -163.6965 (227*2π)/9174 weeks
228-269.1964 -444.9188 (228*2π)/9174 weeks
229-204.5527 -188.6134 (229*2π)/9174 weeks
230-242.5711 -497.3434 (230*2π)/9174 weeks
231-201.254 -211.5542 (231*2π)/9174 weeks
232-200.2312 -284.8182 (232*2π)/9174 weeks
233-258.7298 -323.5061 (233*2π)/9174 weeks
234-341.6255 -238.6179 (234*2π)/9174 weeks
235-265.9588 -257.1097 (235*2π)/9174 weeks
236-253.8495 -194.3583 (236*2π)/9174 weeks
237-225.0387 -311.7574 (237*2π)/9174 weeks
238-181.5534 -104.9723 (238*2π)/9174 weeks
239-187.3367 -261.7568 (239*2π)/9174 weeks
240-140.0155 -226.4435 (240*2π)/9174 weeks
241-23.34025 -91.79668 (241*2π)/9174 weeks
242-109.1152 -400.9195 (242*2π)/9174 weeks
243-206.1904 -95.861 (243*2π)/9174 weeks
244-192.4424 -289.8849 (244*2π)/9174 weeks
245-199.3578 -57.07879 (245*2π)/9174 weeks
246-307.4442 -263.7346 (246*2π)/9174 weeks
247-127.0679 -91.69585 (247*2π)/9174 weeks
248-92.16933 -136.3731 (248*2π)/9174 weeks
249-71.07827 -173.7451 (249*2π)/9174 weeks
250-201.6791 -351.7047 (250*2π)/9174 weeks
251-86.4113 -245.977 (251*2π)/9174 weeks
252-326.2762 -261.2911 (252*2π)/9174 weeks
253-190.101 -189.9757 (253*2π)/9174 weeks
254-250.7112 -140.5342 (254*2π)/9174 weeks
255-284.5919 -280.192 (255*2π)/9174 weeks
256-260.0274 -158.781 (256*2π)/9174 weeks
257-343.9626 -235.3426 (257*2π)/9174 weeks
258-111.6993 -221.4132 (258*2π)/9174 weeks
259-377.9538 -202.3517 (259*2π)/9174 weeks
260-230.1296 -200.341 (260*2π)/9174 weeks
261-288.1306 -12.03808 (261*2π)/9174 weeks
262-126.7454 -113.5388 (262*2π)/9174 weeks
263-214.7117 -34.21499 (263*2π)/9173 weeks
264-47.30928 -289.2663 (264*2π)/9173 weeks
265-188.8971 -93.0728 (265*2π)/9173 weeks
266-22.28915 -135.1883 (266*2π)/9173 weeks
267-273.2203 -207.1826 (267*2π)/9173 weeks
268-69.64119 -207.5682 (268*2π)/9173 weeks
269-178.9446 -185.9454 (269*2π)/9173 weeks
270-198.4622 -308.6248 (270*2π)/9173 weeks
271-147.5596 -40.08509 (271*2π)/9173 weeks
272-244.8207 -221.0134 (272*2π)/9173 weeks
273-56.29105 -23.8472 (273*2π)/9173 weeks
274-94.74754 -271.2574 (274*2π)/9173 weeks
275-238.1796 -183.0224 (275*2π)/9173 weeks
276-152.0846 -200.9266 (276*2π)/9173 weeks
277-120.6898 -238.5779 (277*2π)/9173 weeks
278-334.3319 -334.9415 (278*2π)/9173 weeks
279-357.3169 -231.1324 (279*2π)/9173 weeks
280-341.804 -291.4336 (280*2π)/9173 weeks
281-256.0963 -139.9919 (281*2π)/9173 weeks
282-146.5818 -168.8019 (282*2π)/9173 weeks
283-194.6789 -113.9751 (283*2π)/9173 weeks
284-160.9288 -399.1392 (284*2π)/9173 weeks
285-254.5674 -150.7088 (285*2π)/9173 weeks
286-239.3306 -273.3961 (286*2π)/9173 weeks
287-194.3918 122.7893 (287*2π)/9173 weeks
288-69.88292 -179.955 (288*2π)/9173 weeks
289-100.4141 -23.65359 (289*2π)/9173 weeks
290-178.9275 -248.6226 (290*2π)/9173 weeks
291-170.5735 -72.20576 (291*2π)/9173 weeks
292-249.8117 -265.6524 (292*2π)/9173 weeks
293-276.8932 -183.7676 (293*2π)/9173 weeks
294-332.1457 -84.43519 (294*2π)/9173 weeks
295-151.2485 -142.0375 (295*2π)/9173 weeks
296-353.1066 -110.9915 (296*2π)/9173 weeks
297-155.4126 -182.4196 (297*2π)/9173 weeks
298-289.3358 -38.13096 (298*2π)/9173 weeks
299-222.7346 -170.0785 (299*2π)/9173 weeks
300-224.6791 -215.3375 (300*2π)/9173 weeks
301-270.1895 -194.7799 (301*2π)/9173 weeks
302-170.989 -145.2724 (302*2π)/9173 weeks
303-273.6307 -51.84197 (303*2π)/9173 weeks
304-12.54189 -150.8974 (304*2π)/9173 weeks
305-406.633 -93.42657 (305*2π)/9173 weeks
306-190.0229 -76.9943 (306*2π)/9173 weeks
307-250.7244 -71.38441 (307*2π)/9173 weeks
308-147.7539 -92.62726 (308*2π)/9173 weeks
309-295.3238 -153.3995 (309*2π)/9173 weeks
310-151.5763 -95.46724 (310*2π)/9173 weeks
311-226.1908 -85.16095 (311*2π)/9173 weeks
312-345.5907 -199.4482 (312*2π)/9173 weeks
313-236.8759 -82.59766 (313*2π)/9173 weeks
314-205.2918 -188.1701 (314*2π)/9173 weeks
315-230.5567 22.71885 (315*2π)/9173 weeks
316-149.0525 -131.7692 (316*2π)/9173 weeks
317-193.3752 -76.36568 (317*2π)/9173 weeks
318-321.8706 -114.8634 (318*2π)/9173 weeks
319-239.262 -125.4625 (319*2π)/9173 weeks
320-277.2343 -201.8408 (320*2π)/9173 weeks
321-260.6312 -174.2361 (321*2π)/9173 weeks
322-265.3498 33.66236 (322*2π)/9173 weeks
323-181.9232 -110.3119 (323*2π)/9173 weeks
324-269.0024 -181.1478 (324*2π)/9173 weeks
325-275.9898 -53.69319 (325*2π)/9173 weeks
326-70.75585 -171.4111 (326*2π)/9173 weeks
327-342.7247 -175.688 (327*2π)/9173 weeks
328-228.321 -85.70794 (328*2π)/9173 weeks
329-294.6748 -69.07391 (329*2π)/9173 weeks
330-214.2226 -137.0544 (330*2π)/9173 weeks
331-359.5496 -111.6362 (331*2π)/9173 weeks
332-291.3538 -85.89519 (332*2π)/9173 weeks
333-422.1037 -115.4081 (333*2π)/9173 weeks
334-164.2423 70.97608 (334*2π)/9173 weeks
335-146.4245 -90.09986 (335*2π)/9173 weeks
336-123.6824 22.1758 (336*2π)/9173 weeks
337-158.2141 -69.00478 (337*2π)/9173 weeks
338-120.0279 .16168 (338*2π)/9173 weeks
339-184.8298 -192.2096 (339*2π)/9173 weeks
340-204.0266 18.74312 (340*2π)/9173 weeks
341-33.91887 -127.7596 (341*2π)/9173 weeks
342-145.9245 -175.0818 (342*2π)/9173 weeks
343-154.8413 -28.2192 (343*2π)/9173 weeks
344-172.4227 -154.395 (344*2π)/9173 weeks
345-276.8756 15.3986 (345*2π)/9173 weeks
346-89.36172 -89.10427 (346*2π)/9173 weeks
347-219.109 -47.56208 (347*2π)/9173 weeks
348-131.2716 -33.16779 (348*2π)/9173 weeks
349-315.6721 -24.5402 (349*2π)/9173 weeks
350-182.797 -101.5074 (350*2π)/9173 weeks
351-401.6937 -119.0245 (351*2π)/9173 weeks
352-291.8886 -30.60711 (352*2π)/9173 weeks
353-272.0114 -183.0092 (353*2π)/9173 weeks
354-143.5446 2.08005 (354*2π)/9173 weeks
355-207.9348 -188.2504 (355*2π)/9173 weeks
356-235.0498 -74.77443 (356*2π)/9173 weeks
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358-206.2603 195.6732 (358*2π)/9173 weeks
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360-80.55022 82.63003 (360*2π)/9173 weeks
361-210.1465 -141.9001 (361*2π)/9173 weeks
362-79.91287 26.04927 (362*2π)/9173 weeks
363-311.0776 -185.0195 (363*2π)/9173 weeks
364-234.8808 66.28866 (364*2π)/9173 weeks
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367-150.7826 17.16103 (367*2π)/9172 weeks
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378-154.7572 116.6988 (378*2π)/9172 weeks
379-251.2042 -73.57722 (379*2π)/9172 weeks
380-117.1873 4.68115 (380*2π)/9172 weeks
381-183.5319 37.70911 (381*2π)/9172 weeks
382-46.69054 -33.32384 (382*2π)/9172 weeks
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400-76.86549 -34.74406 (400*2π)/9172 weeks
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402-173.3855 11.18375 (402*2π)/9172 weeks
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411-239.0711 54.32385 (411*2π)/9172 weeks
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417-144.6948 31.51659 (417*2π)/9172 weeks
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431-210.3018 71.97211 (431*2π)/9172 weeks
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434-155.6765 -175.9 (434*2π)/9172 weeks
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452-94.91866 55.07595 (452*2π)/9172 weeks
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460-195.0374 -86.33618 (460*2π)/9172 weeks
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465-94.91866 -55.07595 (465*2π)/9172 weeks
466-241.8867 -139.2042 (466*2π)/9172 weeks
467-172.5461 -23.09318 (467*2π)/9172 weeks
468-438.9302 36.87329 (468*2π)/9172 weeks
469-163.1716 214.3496 (469*2π)/9172 weeks
470-292.6791 -68.79716 (470*2π)/9172 weeks
471-199.9455 168.5762 (471*2π)/9172 weeks
472-177.6923 34.53536 (472*2π)/9172 weeks
473-139.4894 -3.19183 (473*2π)/9172 weeks
474-287.082 -2.61303 (474*2π)/9172 weeks
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477-228.6162 102.295 (477*2π)/9172 weeks
478-334.5598 -136.7044 (478*2π)/9172 weeks
479-52.51254 362.6882 (479*2π)/9172 weeks
480-117.9082 -16.26154 (480*2π)/9172 weeks
481-66.64339 249.9033 (481*2π)/9172 weeks
482-137.1357 -98.60649 (482*2π)/9172 weeks
483-155.6765 175.9 (483*2π)/9172 weeks
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485-99.78095 19.00952 (485*2π)/9172 weeks
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507-45.89338 129.5484 (507*2π)/9172 weeks
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516-333.1495 61.64369 (516*2π)/9172 weeks
517-76.86549 34.74406 (517*2π)/9172 weeks
518-428.9217 -72.11166 (518*2π)/9172 weeks
519-303.9689 -34.36001 (519*2π)/9172 weeks
520-337.9224 92.04826 (520*2π)/9172 weeks
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524-317.3666 92.87321 (524*2π)/9172 weeks
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530-276.5362 62.67793 (530*2π)/9172 weeks
531-187.6735 97.37913 (531*2π)/9172 weeks
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535-46.69054 33.32384 (535*2π)/9172 weeks
536-183.5319 -37.70911 (536*2π)/9172 weeks
537-117.1873 -4.68115 (537*2π)/9172 weeks
538-251.2042 73.57722 (538*2π)/9172 weeks
539-154.7572 -116.6988 (539*2π)/9172 weeks
540-353.4596 138.3744 (540*2π)/9172 weeks
541-191.0494 77.18204 (541*2π)/9172 weeks
542-229.1179 170.3294 (542*2π)/9172 weeks
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546-316.9712 146.3478 (546*2π)/9172 weeks
547-88.1615 84.48258 (547*2π)/9172 weeks
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552-140.1463 115.1358 (552*2π)/9172 weeks
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555-79.91287 -26.04927 (555*2π)/9172 weeks
556-210.1465 141.9001 (556*2π)/9172 weeks
557-80.55022 -82.63003 (557*2π)/9172 weeks
558-335.8961 148.5662 (558*2π)/9172 weeks
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560-359.5903 198.0448 (560*2π)/9172 weeks
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562-207.9348 188.2504 (562*2π)/9172 weeks
563-143.5446 -2.08005 (563*2π)/9172 weeks
564-272.0114 183.0092 (564*2π)/9172 weeks
565-291.8886 30.60711 (565*2π)/9172 weeks
566-401.6937 119.0245 (566*2π)/9172 weeks
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569-131.2716 33.16779 (569*2π)/9172 weeks
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571-89.36172 89.10427 (571*2π)/9172 weeks
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573-172.4227 154.395 (573*2π)/9172 weeks
574-154.8413 28.2192 (574*2π)/9172 weeks
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578-184.8298 192.2096 (578*2π)/9172 weeks
579-120.0279 -.16168 (579*2π)/9172 weeks
580-158.2141 69.00478 (580*2π)/9172 weeks
581-123.6824 -22.1758 (581*2π)/9172 weeks
582-146.4245 90.09986 (582*2π)/9172 weeks
583-164.2423 -70.97608 (583*2π)/9172 weeks
584-422.1037 115.4081 (584*2π)/9172 weeks
585-291.3538 85.89519 (585*2π)/9172 weeks
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587-214.2226 137.0544 (587*2π)/9172 weeks
588-294.6748 69.07391 (588*2π)/9172 weeks
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590-342.7247 175.688 (590*2π)/9172 weeks
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594-181.9232 110.3119 (594*2π)/9172 weeks
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601-149.0525 131.7692 (601*2π)/9172 weeks
602-230.5567 -22.71885 (602*2π)/9172 weeks
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618-222.7346 170.0785 (618*2π)/9171 weeks
619-289.3358 38.13096 (619*2π)/9171 weeks
620-155.4126 182.4196 (620*2π)/9171 weeks
621-353.1066 110.9915 (621*2π)/9171 weeks
622-151.2485 142.0375 (622*2π)/9171 weeks
623-332.1457 84.43519 (623*2π)/9171 weeks
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629-69.88292 179.955 (629*2π)/9171 weeks
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631-239.3306 273.3961 (631*2π)/9171 weeks
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731-375.3711 124.8535 (731*2π)/9171 weeks
732-345.0005 304.7479 (732*2π)/9171 weeks
733-398.5854 -3.06331 (733*2π)/9171 weeks
734-283.7961 581.9217 (734*2π)/9171 weeks
735-208.1833 113.1101 (735*2π)/9171 weeks
736-402.1393 579.2318 (736*2π)/9171 weeks
737-161.7812 31.91654 (737*2π)/9171 weeks
738-343.6549 666.2173 (738*2π)/9171 weeks
739-25.92962 205.1522 (739*2π)/9171 weeks
740-65.91289 492.205 (740*2π)/9171 weeks
741-195.1479 49.00471 (741*2π)/9171 weeks
742-228.3296 412.9008 (742*2π)/9171 weeks
743-316.6632 219.3803 (743*2π)/9171 weeks
744-50.03359 516.2176 (744*2π)/9171 weeks
745-240.582 128.8139 (745*2π)/9171 weeks
746-35.0633 515.7907 (746*2π)/9171 weeks
747-267.5551 14.47154 (747*2π)/9171 weeks
748-329.4068 602.8934 (748*2π)/9171 weeks
749-196.2026 341.6899 (749*2π)/9171 weeks
750-33.09806 485.9089 (750*2π)/9171 weeks
75137.21473 334.3224 (751*2π)/9171 weeks
752-113.7182 307.9899 (752*2π)/9171 weeks
753-262.6488 113.5468 (753*2π)/9171 weeks
754-234.5544 330.023 (754*2π)/9171 weeks
755-341.1259 285.9627 (755*2π)/9171 weeks
756-258.6706 425.2224 (756*2π)/9171 weeks
757-362.7313 148.5428 (757*2π)/9171 weeks
758-396.1274 600.5461 (758*2π)/9171 weeks
759-370.6268 411.1403 (759*2π)/9171 weeks
760-331.7978 397.6677 (760*2π)/9171 weeks
761-236.754 479.4399 (761*2π)/9171 weeks
762-137.9334 441.6501 (762*2π)/9171 weeks
763-361.6474 328.1433 (763*2π)/9171 weeks
764-326.0637 452.1927 (764*2π)/9171 weeks
765-296.7636 448.6264 (765*2π)/9171 weeks
766-70.12759 575.227 (766*2π)/9171 weeks
767-83.80695 336.0233 (767*2π)/9171 weeks
76848.14902 441.2656 (768*2π)/9171 weeks
769-151.8016 394.3454 (769*2π)/9171 weeks
770-52.9178 451.5861 (770*2π)/9171 weeks
771-463.9593 441.9797 (771*2π)/9171 weeks
772-193.8023 374.9239 (772*2π)/9171 weeks
773-403.5725 520.8939 (773*2π)/9171 weeks
77427.04715 528.63 (774*2π)/9171 weeks
775-452.3075 311.1816 (775*2π)/9171 weeks
7766.31431 649.9845 (776*2π)/9171 weeks
777-236.311 345.3302 (777*2π)/9171 weeks
778-241.8594 683.0796 (778*2π)/9171 weeks
779-292.0216 421.2433 (779*2π)/9171 weeks
780-183.0256 703.8613 (780*2π)/9171 weeks
781-147.5002 387.0604 (781*2π)/9171 weeks
782-148.0477 699.6682 (782*2π)/9171 weeks
783-248.9135 304.4553 (783*2π)/9171 weeks
784-233.7755 490.4526 (784*2π)/9171 weeks
785-431.0604 382.3772 (785*2π)/9171 weeks
78691.3288 691.4598 (786*2π)/9171 weeks
787-242.2946 283.4725 (787*2π)/9171 weeks
788-163.7227 564.0479 (788*2π)/9171 weeks
789-14.00913 474.6324 (789*2π)/9171 weeks
79085.23595 477.4736 (790*2π)/9171 weeks
791-233.026 533.2033 (791*2π)/9171 weeks
792-145.4895 557.5781 (792*2π)/9171 weeks
793-114.0462 400.0491 (793*2π)/9171 weeks
794-221.2511 392.305 (794*2π)/9171 weeks
795-245.2128 276.594 (795*2π)/9171 weeks
796-65.55109 538.4949 (796*2π)/9171 weeks
797-400.7105 377.3949 (797*2π)/9171 weeks
79825.77362 721.2032 (798*2π)/9171 weeks
799-283.9621 362.0634 (799*2π)/9171 weeks
800-145.7895 610.3894 (800*2π)/9171 weeks
801-297.9829 625.7461 (801*2π)/9171 weeks
802-190.835 622.6555 (802*2π)/9171 weeks
803-343.4439 671.2737 (803*2π)/9171 weeks
804-130.4265 409.9083 (804*2π)/9171 weeks
805-423.8495 520.0537 (805*2π)/9171 weeks
806-305.3298 301.5833 (806*2π)/9171 weeks
807-315.2397 986.5649 (807*2π)/9171 weeks
808-148.6896 249.0359 (808*2π)/9171 weeks
809-248.9767 678.1558 (809*2π)/9171 weeks
810-449.9833 270.4866 (810*2π)/9171 weeks
811-379.836 840.5184 (811*2π)/9171 weeks
812-423.9294 586.536 (812*2π)/9171 weeks
813-267.477 867.2764 (813*2π)/9171 weeks
814-510.6316 408.8635 (814*2π)/9171 weeks
815-462.7043 797.0334 (815*2π)/9171 weeks
816-234.5991 394.7018 (816*2π)/9171 weeks
817-545.03 557.4504 (817*2π)/9171 weeks
818-89.76389 617.7031 (818*2π)/9171 weeks
819-273.7563 651.2314 (819*2π)/9171 weeks
820-21.49265 532.3879 (820*2π)/9171 weeks
821-265.7999 341.6083 (821*2π)/9171 weeks
822-196.0842 537.1713 (822*2π)/9171 weeks
823-368.4087 431.9081 (823*2π)/9171 weeks
824-217.7473 787.318 (824*2π)/9171 weeks
825-334.6387 723.3909 (825*2π)/9171 weeks
826-227.3532 553.7285 (826*2π)/9171 weeks
827-217.0511 805.4406 (827*2π)/9171 weeks
828-55.81665 820.5967 (828*2π)/9171 weeks
82947.72475 840.9342 (829*2π)/9171 weeks
830354.9676 639.1239 (830*2π)/9171 weeks
831-260.8786 710.0617 (831*2π)/9171 weeks
832-246.8472 892.3085 (832*2π)/9171 weeks
833-326.084 826.6884 (833*2π)/9171 weeks
834-463.6602 277.4797 (834*2π)/9171 weeks
835182.8416 751.1835 (835*2π)/9171 weeks
836-258.5796 727.1495 (836*2π)/9171 weeks
837168.8661 1,371.259 (837*2π)/9171 weeks
838411.1945 624.8491 (838*2π)/9171 weeks
839183.2179 493.8946 (839*2π)/9171 weeks
840-109.8374 423.7435 (840*2π)/9171 weeks
841-308.8468 543.9531 (841*2π)/9171 weeks
842-479.5228 655.0417 (842*2π)/9171 weeks
843-247.3595 943.0488 (843*2π)/9171 weeks
844-81.80631 826.9 (844*2π)/9171 weeks
845-204.5724 503.0197 (845*2π)/9171 weeks
846-353.5044 734.368 (846*2π)/9171 weeks
847-447.0121 697.4357 (847*2π)/9171 weeks
848-285.99 296.9984 (848*2π)/9171 weeks
849-655.5129 994.2534 (849*2π)/9171 weeks
850-241.3087 667.1281 (850*2π)/9171 weeks
851-354.331 1,111.66 (851*2π)/9171 weeks
852-683.2186 923.6298 (852*2π)/9171 weeks
853-314.8061 1,520.347 (853*2π)/9171 weeks
854-635.5355 761.0881 (854*2π)/9171 weeks
855-41.15846 1,866.763 (855*2π)/9171 weeks
856-257.9597 319.1143 (856*2π)/9171 weeks
85766.66479 1,595.775 (857*2π)/9171 weeks
85815.77999 722.2448 (858*2π)/9171 weeks
859-.19539 2,021.313 (859*2π)/9171 weeks
860-310.7466 1,111.707 (860*2π)/9171 weeks
861-648.272 2,090.904 (861*2π)/9171 weeks
862345.6195 1,538.823 (862*2π)/9171 weeks
863301.1093 1,303.749 (863*2π)/9171 weeks
864500.8651 1,401.174 (864*2π)/9171 weeks
865679.3472 1,257.313 (865*2π)/9171 weeks
866145.6291 784.117 (866*2π)/9171 weeks
867-130.5474 1,665.45 (867*2π)/9171 weeks
868-200.294 899.1372 (868*2π)/9171 weeks
869-148.4789 1,515.389 (869*2π)/9171 weeks
870-226.7201 1,105.765 (870*2π)/9171 weeks
871-569.6915 1,372.897 (871*2π)/9171 weeks
872-813.2897 1,656.342 (872*2π)/9171 weeks
873-394.9008 2,500.424 (873*2π)/9171 weeks
874221.2569 2,021.518 (874*2π)/9171 weeks
875263.7532 1,466.133 (875*2π)/9171 weeks
876-213.6123 2,121.089 (876*2π)/9171 weeks
877127.7067 1,799.596 (877*2π)/9171 weeks
878-520.4155 1,523.747 (878*2π)/9171 weeks
879985.8229 1,525.188 (879*2π)/9171 weeks
880-863.5524 1,757.976 (880*2π)/9171 weeks
881513.1332 2,088.797 (881*2π)/9171 weeks
882-631.2784 1,774.581 (882*2π)/9171 weeks
883-35.15158 2,726.816 (883*2π)/9171 weeks
884247.9407 1,813.624 (884*2π)/9171 weeks
885-31.79927 2,096.597 (885*2π)/9171 weeks
886418.2736 1,833.036 (886*2π)/9171 weeks
887-183.9707 2,294.908 (887*2π)/9171 weeks
888-537.0005 2,976.864 (888*2π)/9171 weeks
889477.0623 2,157.169 (889*2π)/9171 weeks
890-636.2535 1,749.014 (890*2π)/9171 weeks
891525.3409 2,169.273 (891*2π)/9171 weeks
892-429.0955 1,467.151 (892*2π)/9171 weeks
893-200.6007 2,362.91 (893*2π)/9171 weeks
894-2,100.386 2,597.432 (894*2π)/9171 weeks
89543.83883 3,223.125 (895*2π)/9171 weeks
896-1,236.021 1,842.923 (896*2π)/9171 weeks
897340.4078 3,741.506 (897*2π)/9171 weeks
898-1,834.256 3,400.844 (898*2π)/9171 weeks
899-203.7621 3,351.352 (899*2π)/9171 weeks
90039.37575 5,228.587 (900*2π)/9171 weeks
9015.45026 3,852.824 (901*2π)/9171 weeks
902-978.9125 4,917.629 (902*2π)/9171 weeks
903114.5602 5,991.618 (903*2π)/9171 weeks
9041,819.234 3,916.652 (904*2π)/9171 weeks
905-893.3749 5,710.301 (905*2π)/9171 weeks
906-2,068.41 4,998.16 (906*2π)/9171 weeks
907-2,420.61 9,084.021 (907*2π)/9171 weeks
908-13.67334 7,368.721 (908*2π)/9171 weeks
9092,961.115 12,794.12 (909*2π)/9171 weeks
9102,485.046 6,942.321 (910*2π)/9171 weeks
911-589.2658 15,631.2 (911*2π)/9171 weeks
9124,439.601 4,658.368 (912*2π)/9171 weeks
913251.6878 14,051.32 (913*2π)/9171 weeks
914-5,279.065 16,742.45 (914*2π)/9171 weeks
9156,571.271 38,926.25 (915*2π)/9171 weeks



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